Subgroups — #13093604

Order 1488.

80 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×Q₈×C₃₁	C₂	1	1	yes	maximal, characteristic, complemented
2	D₃₇₂	C₂	1	3	yes	maximal, complemented
3	C₄×D₉₃	C₂	1	3	yes	maximal, complemented
4	#92499	—	3	1	no	maximal, Hall
5	C₂×D₉₃	C₂²	1	3	yes	—
6	C₃×C₄×C₃₁	C₂²	1	3	yes	—
7	Dic₉₃	C₂²	1	1	yes	characteristic
8	Q₈×C₃₁	D₃	1	1	yes	characteristic, complemented
9	D₁₂₄	—	3	3	no	—
10	C₄×D₃₁	—	3	3	no	—
11	C₂×C₃×C₃₁	C₂³	1	1	yes	characteristic
12	D₉₃	—	2	3	no	—
13	C₂×D₃₁	—	3	3	no	—
14	C₄×C₃₁	C₂×D₃	1	3	yes	—
15	Dic₃₁	—	3	1	no	—
16	C₃×C₃₁	#41	1	1	yes	characteristic, complemented, Hall
17	C₂×C₃₁	C₂²×D₃	1	1	yes	characteristic
18	D₃₁	—	6	3	no	—
19	#239	—	31	1	no	maximal, Hall
20	C₃₁	#239	1	1	yes	characteristic, complemented, Sylow
21	C₃×Q₈	D₃₁	1	1	yes	characteristic, complemented
22	D₁₂	—	31	3	no	—
23	C₄×D₃	—	31	3	no	—
24	#41	—	93	1	no	Sylow
25	C₂×D₃	—	31	3	no	—
26	C₃×C₄	C₂×D₃₁	1	3	yes	—
27	Dic₃	—	31	1	no	—
28	Q₈	D₉₃	1	1	yes	characteristic, complemented
29	D₄	—	93	3	no	—
30	C₂×C₄	—	93	3	no	—
31	C₂×C₃	C₂²×D₃₁	1	1	yes	characteristic
32	D₃	—	62	3	no	—
33	C₂²	—	93	3	no	—
34	C₄	—	93	1	no	—
35	C₄	C₂×D₉₃	1	3	yes	—
36	C₃	#92499	1	1	yes	characteristic, complemented, Sylow
37	C₂	—	186	3	no	—
38	C₂	C₂²×D₉₃	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.