Subgroups — C₂×#27136603 #37613495

Order 24784.

22 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#27136603	C₂	1	2	yes	maximal, direct product factor
2	C₂×Dic₁₅₄₉	C₂	1	1	yes	maximal, characteristic
3	C₂²×C₁₅₄₉	C₄	1	1	yes	characteristic
4	Dic₁₅₄₉	C₄	1	1	yes	characteristic
5	Dic₁₅₄₉	C₂²	1	1	yes	characteristic
6	C₂×C₁₅₄₉	C₈	1	2	yes	complemented
7	C₂×C₁₅₄₉	C₂×C₄	1	1	yes	characteristic
8	C₁₅₄₉	C₂×C₈	1	1	yes	characteristic, complemented, Sylow
9	C₂×C₈	—	1549	1	no	maximal, Sylow
10	C₂×C₄	—	1549	1	no	—
11	C₈	—	1549	2	no	—
12	C₂²	#20260135	1	1	yes	characteristic
13	C₄	—	1549	1	no	—
14	C₄	—	1549	1	no	—
15	C₂	#27136603	1	2	yes	direct product factor
16	C₂	C₂×#20260135	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.