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Maximal subgroups of group P4/mmm (No. 123)

Note: The program uses the default choice for the group settings.

In the following table the list of maximal subgroup types is given.
Click over "show.." to see the complete list of subgroups and their distribution in classes of conjugate subgroups.

N IT number HM symbol Index Type Transformations
1 47 Pmmm 2 t show..
2 65 Cmmm 2 t show..
3 83 P4/m 2 t show..
4 89 P422 2 t show..
5 99 P4mm 2 t show..
6 111 P-42m 2 t show..
7 115 P-4m2 2 t show..
8 123 P4/mmm 2 k show..
9 123 P4/mmm 3 k show..
10 123 P4/mmm 5 k show..
11 123 P4/mmm 7 k show..
12 123 P4/mmm 9 k show..
13 124 P4/mcc 2 k show..
14 125 P4/nbm 2 k show..
15 127 P4/mbm 2 k show..
16 129 P4/nmm 2 k show..
17 131 P42/mmc 2 k show..
18 132 P42/mcm 2 k show..
19 139 I4/mmm 2 k show..
20 140 I4/mcm 2 k show..

t represents the translationengleichen subgroups
k represents the klassengleichen subgroups

[ Click here to see the Series of Maximal Subgroups ]


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