Subgroups — C₂×#26045522 #37558499

Order 23824.

22 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#26045522	C₂	1	2	yes	maximal, direct product factor
2	C₂×Dic₁₄₈₉	C₂	1	1	yes	maximal, characteristic
3	C₂²×C₁₄₈₉	C₄	1	1	yes	characteristic
4	Dic₁₄₈₉	C₄	1	1	yes	characteristic
5	Dic₁₄₈₉	C₂²	1	1	yes	characteristic
6	C₂×C₁₄₈₉	C₈	1	2	yes	complemented
7	C₂×C₁₄₈₉	C₂×C₄	1	1	yes	characteristic
8	C₁₄₈₉	C₂×C₈	1	1	yes	characteristic, complemented, Sylow
9	C₂×C₈	—	1489	1	no	maximal, Sylow
10	C₂×C₄	—	1489	1	no	—
11	C₈	—	1489	2	no	—
12	C₂²	#20238494	1	1	yes	characteristic
13	C₄	—	1489	1	no	—
14	C₄	—	1489	1	no	—
15	C₂	#26045522	1	2	yes	direct product factor
16	C₂	C₂×#20238494	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.