Subgroups — C₉×#15690586 #42123647

Order 27828.

18 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₉×D₇₇₃	C₂	1	1	yes	maximal, characteristic
2	C₃×#15690586	C₃	1	1	yes	maximal, characteristic
3	C₉×C₇₇₃	C₄	1	1	yes	characteristic, complemented, Hall
4	C₃×D₇₇₃	C₂×C₃	1	1	yes	characteristic
5	#15690586	C₉	1	1	yes	characteristic, direct product factor, Hall
6	C₃×C₇₇₃	C₃×C₄	1	1	yes	characteristic
7	D₇₇₃	C₂×C₉	1	1	yes	characteristic
8	C₇₇₃	C₄×C₉	1	1	yes	characteristic, complemented, Sylow
9	C₄×C₉	—	773	1	no	maximal, Hall
10	C₂×C₉	—	773	1	no	—
11	C₃×C₄	—	773	1	no	—
12	C₉	#15690586	1	1	yes	characteristic, direct product factor, Sylow
13	C₂×C₃	—	773	1	no	—
14	C₄	—	773	1	no	Sylow
15	C₃	C₃×#15690586	1	1	yes	characteristic
16	C₂	—	773	1	no	—

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.