Subgroups — C₄×#14555667 #22579933

Order 8864.

44 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14555667	C₂	1	2	yes	maximal
2	C₄×Dic₂₇₇	C₂	1	1	yes	maximal, characteristic
3	#14555667	C₄	1	4	yes	direct product factor
4	C₂×Dic₂₇₇	C₄	1	1	yes	characteristic
5	C₂×Dic₂₇₇	C₂²	1	1	yes	characteristic
6	C₂×C₄×C₂₇₇	C₄	1	1	yes	characteristic
7	C₂²×C₂₇₇	C₂×C₄	1	1	yes	characteristic
8	C₄×C₂₇₇	C₈	1	2	yes	complemented
9	Dic₂₇₇	C₈	1	2	yes	complemented
10	Dic₂₇₇	C₂×C₄	1	2	yes	—
11	C₂×C₂₇₇	C₄²	1	1	yes	characteristic
12	C₂×C₂₇₇	C₂×C₈	1	1	yes	characteristic
13	C₂×C₂₇₇	C₂×C₈	1	1	yes	characteristic
14	C₂₇₇	C₄×C₈	1	1	yes	characteristic, complemented, Sylow
15	C₄×C₈	—	277	1	no	maximal, Sylow
16	C₂×C₈	—	277	2	no	—
17	C₄²	—	277	1	no	—
18	C₂×C₄	—	277	1	no	—
19	C₂×C₄	—	277	1	no	—
20	C₂×C₄	#11764308	1	1	yes	characteristic
21	C₈	—	277	4	no	—
22	C₂²	C₂×#11764308	1	1	yes	characteristic
23	C₄	—	277	2	no	—
24	C₄	—	277	2	no	—
25	C₄	#14555667	1	2	yes	direct product factor
26	C₂	C₄×#11764308	1	1	yes	characteristic
27	C₂	C₂×#14555667	1	1	yes	characteristic
28	C₂	D₂₇₇⋊C₈	1	1	yes	characteristic

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