Subgroups — C₄⋊#14515356 #21440708

Order 7712.

38 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14515356	C₂	1	2	yes	maximal
2	C₄×Dic₂₄₁	C₂	1	1	yes	maximal, characteristic
3	#14515356	—	2	2	no	—
4	C₂×Dic₂₄₁	C₄	1	1	yes	characteristic
5	C₂×Dic₂₄₁	C₂²	1	1	yes	characteristic
6	C₂×C₄×C₂₄₁	C₄	1	1	yes	characteristic
7	C₂²×C₂₄₁	C₂×C₄	1	1	yes	characteristic
8	C₄×C₂₄₁	C₈	1	2	yes	complemented
9	Dic₂₄₁	—	2	1	no	—
10	Dic₂₄₁	D₄	1	1	yes	characteristic
11	Dic₂₄₁	Q₈	1	1	yes	characteristic
12	C₂×C₂₄₁	C₄⋊C₄	1	1	yes	characteristic
13	C₂×C₂₄₁	C₂×C₈	1	1	yes	characteristic
14	C₂×C₂₄₁	M₁₆	1	1	yes	characteristic
15	C₂₄₁	C₄⋊C₈	1	1	yes	characteristic, complemented, Sylow
16	C₄⋊C₈	—	241	1	no	maximal, Sylow
17	C₂×C₈	—	241	2	no	—
18	C₄²	—	241	1	no	—
19	C₂×C₄	—	241	1	no	—
20	C₂×C₄	—	241	1	no	—
21	C₂×C₄	#11757210	1	1	yes	characteristic
22	C₈	—	482	2	no	—
23	C₂²	C₂×#11757210	1	1	yes	characteristic
24	C₄	—	482	1	no	—
25	C₄	—	241	1	no	—
26	C₄	—	241	1	no	—
27	C₄	#14515356	1	2	yes	complemented
28	C₂	C₄⋊#11757210	1	1	yes	characteristic
29	C₂	C₂×#14515356	1	1	yes	characteristic
30	C₂	#16838780	1	1	yes	characteristic

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