Subgroups — C₉×#16813208 #44565420

Order 32157.

46 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#16813208	C₃	1	3	yes	maximal
2	C₃×C₉×C₃₉₇	C₃	1	1	yes	maximal, characteristic
3	C₃²×C₃₉₇	C₃²	1	1	yes	characteristic
4	C₉×C₃₉₇	C₉	1	3	yes	complemented
5	#16813208	C₉	1	9	yes	direct product factor
6	C₃×C₃₉₇	C₃×C₉	1	3	yes	—
7	C₃×C₃₉₇	C₃×C₉	1	1	yes	characteristic
8	C₃₉₇	C₉²	1	1	yes	characteristic, complemented, Sylow
9	C₉²	—	397	1	no	maximal, Sylow
10	C₃×C₉	—	397	3	no	—
11	C₃×C₉	C₃₉₇⋊C₃	1	1	yes	characteristic
12	C₃²	C₃×C₃₉₇⋊C₃	1	1	yes	characteristic
13	C₉	—	397	9	no	—
14	C₉	#16813208	1	3	yes	direct product factor
15	C₃	C₉×C₃₉₇⋊C₃	1	3	yes	—
16	C₃	C₃×#16813208	1	1	yes	characteristic

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.