Subgroups — C₂×#10596815 #11923938

Order 1160.

32 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₁₄₅	C₂	1	1	yes	maximal, characteristic
2	#10596815	C₂	1	2	yes	maximal, direct product factor
3	C₂×C₅×C₂₉	C₄	1	1	yes	characteristic, complemented
4	D₁₄₅	C₄	1	1	yes	characteristic, complemented
5	D₁₄₅	C₂²	1	1	yes	characteristic
6	C₂×#1181	—	5	1	no	maximal, Hall
7	C₅×C₂₉	C₂×C₄	1	1	yes	characteristic, complemented, Hall
8	C₂×D₂₉	—	5	1	no	—
9	#1181	—	5	2	no	—
10	C₂×C₂₉	AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
11	D₂₉	—	5	1	no	—
12	D₂₉	—	5	1	no	—
13	C₂×AGL(1,𝔽₅)	—	29	1	no	maximal, Hall
14	C₂₉	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented, Sylow
15	C₂×D₅	—	29	1	no	—
16	AGL(1,𝔽₅)	—	29	2	no	—
17	C₂×C₅	#1181	1	1	yes	characteristic, complemented
18	D₅	—	29	1	no	—
19	D₅	—	29	1	no	—
20	C₂×C₄	—	145	1	no	Sylow
21	C₅	C₂×#1181	1	1	yes	characteristic, complemented, Sylow
22	C₂²	—	145	1	no	—
23	C₄	—	145	2	no	—
24	C₂	—	145	1	no	—
25	C₂	—	145	1	no	—
26	C₂	#10596815	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.