Subgroups — C₂×#14268661 #16813722

Order 3616.

28 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14268661	C₂	1	2	yes	maximal, direct product factor
2	C₂×#11744762	C₂	1	1	yes	maximal, characteristic
3	C₂×#90673	C₄	1	1	yes	characteristic
4	#11744762	C₄	1	1	yes	characteristic
5	#11744762	C₂²	1	1	yes	characteristic
6	C₂×D₁₁₃	C₈	1	1	yes	characteristic
7	#90673	C₈	1	1	yes	characteristic
8	#90673	C₂×C₄	1	1	yes	characteristic
9	C₂×C₁₁₃	C₁₆	1	1	yes	characteristic, complemented
10	D₁₁₃	C₁₆	1	1	yes	characteristic, complemented
11	D₁₁₃	C₂×C₈	1	1	yes	characteristic
12	C₁₁₃	C₂×C₁₆	1	1	yes	characteristic, complemented, Sylow
13	C₂×C₁₆	—	113	1	no	maximal, Sylow
14	C₂×C₈	—	113	1	no	—
15	C₁₆	—	113	2	no	—
16	C₂×C₄	—	113	1	no	—
17	C₈	—	113	1	no	—
18	C₈	—	113	1	no	—
19	C₂²	—	113	1	no	—
20	C₄	—	113	1	no	—
21	C₄	—	113	1	no	—
22	C₂	—	113	1	no	—
23	C₂	—	113	1	no	—
24	C₂	#14268661	1	1	yes	characteristic, direct product factor

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.