Subgroups — C₂⁵×C₉₈₃ #44537868

Order 31456.

748 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂⁴×C₉₈₃	C₂	1	31	yes	maximal, direct product factor
2	C₂³×C₉₈₃	C₂²	1	155	yes	direct product factor
3	C₂²×C₉₈₃	C₂³	1	155	yes	direct product factor
4	C₂×C₉₈₃	C₂⁴	1	31	yes	direct product factor
5	C₉₈₃	C₂⁵	1	1	yes	characteristic, direct product factor, Sylow
6	C₂⁵	C₉₈₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
7	C₂⁴	C₂×C₉₈₃	1	31	yes	direct product factor
8	C₂³	C₂²×C₉₈₃	1	155	yes	direct product factor
9	C₂²	C₂³×C₉₈₃	1	155	yes	direct product factor
10	C₂	C₂⁴×C₉₈₃	1	31	yes	direct product factor

Splittings G = N ⋊ H with N normal; H ≅ G/N.

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂⁴×C₉₈₃	2
C₂⁵	983