Subgroups — C₂×#26039356 #37524049

Order 22928.

22 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#26039356	C₂	1	2	yes	maximal, direct product factor
2	C₂×#19153179	C₂	1	1	yes	maximal, characteristic
3	C₂×D₁₄₃₃	C₄	1	1	yes	characteristic
4	#19153179	C₄	1	1	yes	characteristic
5	#19153179	C₂²	1	1	yes	characteristic
6	C₂×C₁₄₃₃	C₈	1	1	yes	characteristic, complemented
7	D₁₄₃₃	C₈	1	1	yes	characteristic, complemented
8	D₁₄₃₃	C₂×C₄	1	1	yes	characteristic
9	C₁₄₃₃	C₂×C₈	1	1	yes	characteristic, complemented, Sylow
10	C₂×C₈	—	1433	1	no	maximal, Sylow
11	C₂×C₄	—	1433	1	no	—
12	C₈	—	1433	2	no	—
13	C₂²	—	1433	1	no	—
14	C₄	—	1433	1	no	—
15	C₄	—	1433	1	no	—
16	C₂	—	1433	1	no	—
17	C₂	—	1433	1	no	—
18	C₂	#26039356	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.