Subgroups — C₂²⋊#20238638 #37560639

Order 23888.

34 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#20238638	C₂	1	2	yes	maximal, complemented
2	C₂²×D₁₄₉₃	C₂	1	1	yes	maximal, characteristic
3	C₂²×C₁₄₉₃	C₄	1	1	yes	characteristic, complemented
4	C₂×D₁₄₉₃	—	2	2	no	—
5	C₂×D₁₄₉₃	C₄	1	1	yes	characteristic, complemented
6	C₂×D₁₄₉₃	C₂²	1	1	yes	characteristic
7	#20238638	—	2	2	no	—
8	C₂×C₁₄₉₃	—	2	1	no	—
9	C₂×C₁₄₉₃	C₂×C₄	1	1	yes	characteristic
10	D₁₄₉₃	—	2	1	no	—
11	D₁₄₉₃	D₄	1	2	yes	—
12	C₁₄₉₃	C₂²⋊C₄	1	1	yes	characteristic, complemented, Sylow
13	C₂²⋊C₄	—	1493	1	no	maximal, Sylow
14	C₂³	—	1493	1	no	—
15	C₂×C₄	—	1493	2	no	—
16	C₂²	—	2986	2	no	—
17	C₂²	—	1493	1	no	—
18	C₂²	—	1493	1	no	—
19	C₂²	#20238638	1	1	yes	characteristic, complemented
20	C₄	—	2986	2	no	—
21	C₂	—	2	1	no	—
22	C₂	—	2986	1	no	—
23	C₂	—	1493	2	no	—
24	C₂	C₂×#20238638	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.