Subgroups — C₂×#23753593 #34085751

Order 19472.

22 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23753593	C₂	1	2	yes	maximal, direct product factor
2	C₂×Dic₁₂₁₇	C₂	1	1	yes	maximal, characteristic
3	C₂²×C₁₂₁₇	C₄	1	1	yes	characteristic
4	Dic₁₂₁₇	C₄	1	1	yes	characteristic
5	Dic₁₂₁₇	C₂²	1	1	yes	characteristic
6	C₂×C₁₂₁₇	C₈	1	2	yes	complemented
7	C₂×C₁₂₁₇	C₂×C₄	1	1	yes	characteristic
8	C₁₂₁₇	C₂×C₈	1	1	yes	characteristic, complemented, Sylow
9	C₂×C₈	—	1217	1	no	maximal, Sylow
10	C₂×C₄	—	1217	1	no	—
11	C₈	—	1217	2	no	—
12	C₂²	#19096454	1	1	yes	characteristic
13	C₄	—	1217	1	no	—
14	C₄	—	1217	1	no	—
15	C₂	#23753593	1	2	yes	direct product factor
16	C₂	C₂×#19096454	1	1	yes	characteristic

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.