Subgroups — C₂×#28381203 #43245605

Order 28192.

28 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#28381203	C₂	1	2	yes	maximal, direct product factor
2	C₂×#20296500	C₂	1	1	yes	maximal, characteristic
3	#20296500	C₄	1	1	yes	characteristic
4	#20296500	C₂²	1	1	yes	characteristic
5	C₂×#16812931	C₄	1	1	yes	characteristic
6	C₂×D₈₈₁	C₈	1	1	yes	characteristic
7	#16812931	C₈	1	1	yes	characteristic
8	#16812931	C₂×C₄	1	1	yes	characteristic
9	C₂×C₈₈₁	C₁₆	1	1	yes	characteristic, complemented
10	D₈₈₁	C₁₆	1	1	yes	characteristic, complemented
11	D₈₈₁	C₂×C₈	1	1	yes	characteristic
12	C₈₈₁	C₂×C₁₆	1	1	yes	characteristic, complemented, Sylow
13	C₂×C₁₆	—	881	1	no	maximal, Sylow
14	C₂×C₈	—	881	1	no	—
15	C₁₆	—	881	2	no	—
16	C₂×C₄	—	881	1	no	—
17	C₈	—	881	1	no	—
18	C₈	—	881	1	no	—
19	C₂²	—	881	1	no	—
20	C₄	—	881	1	no	—
21	C₄	—	881	1	no	—
22	C₂	—	881	1	no	—
23	C₂	—	881	1	no	—
24	C₂	#28381203	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.