Subgroups — C₇×#13091735 #23779366

Order 10220.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×C₇×D₇₃	C₂	1	1	yes	maximal, characteristic
2	C₅×C₇×C₇₃	C₄	1	1	yes	characteristic, complemented, Hall
3	C₇×#64408	—	5	1	no	maximal, Hall
4	#13091735	C₇	1	1	yes	maximal, characteristic, direct product factor, Hall
5	C₇×D₇₃	D₅	1	1	yes	characteristic
6	C₅×D₇₃	C₂×C₇	1	1	yes	characteristic
7	C₇×C₇₃	Dic₅	1	1	yes	characteristic, complemented, Hall
8	C₅×C₇₃	C₄×C₇	1	1	yes	characteristic, complemented, Hall
9	#64408	—	5	1	no	Hall
10	D₇₃	C₇×D₅	1	1	yes	characteristic
11	C₇×Dic₅	—	73	1	no	maximal, Hall
12	C₇₃	C₇×Dic₅	1	1	yes	characteristic, complemented, Sylow
13	C₂×C₅×C₇	—	73	1	no	—
14	C₅×C₇	#64408	1	1	yes	characteristic, complemented, Hall
15	C₄×C₇	—	365	1	no	Hall
16	Dic₅	—	73	1	no	Hall
17	C₂×C₇	—	73	1	no	—
18	C₂×C₅	—	73	1	no	—
19	C₇	#13091735	1	1	yes	characteristic, direct product factor, Sylow
20	C₅	C₇×#64408	1	1	yes	characteristic, complemented, Sylow
21	C₄	—	365	1	no	Sylow
22	C₂	—	73	1	no	—

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