Subgroups — #13093505

Order 1488.

44 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×D₄×C₃₁	C₂	1	1	yes	maximal, characteristic, complemented
2	D₃₇₂	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃⋊(C₃₁⋊C₈)	C₂	1	1	yes	maximal, characteristic, complemented
4	#92479	—	3	1	no	maximal, Hall
5	C₂²×C₃×C₃₁	—	2	1	no	—
6	C₂×D₉₃	—	2	1	no	—
7	C₃×C₄×C₃₁	C₂²	1	1	yes	characteristic
8	D₄×C₃₁	D₃	1	1	yes	characteristic, complemented
9	D₁₂₄	—	3	1	no	—
10	C₃₁⋊C₈	—	3	1	no	—
11	C₂×C₃×C₃₁	—	4	1	no	—
12	C₂×C₃×C₃₁	D₄	1	1	yes	characteristic
13	D₉₃	—	4	1	no	—
14	C₂²×C₃₁	—	2	1	no	—
15	C₂×D₃₁	—	6	1	no	—
16	C₄×C₃₁	C₂×D₃	1	1	yes	characteristic
17	C₃×C₃₁	D₈	1	1	yes	characteristic, complemented, Hall
18	C₂×C₃₁	—	4	1	no	—
19	C₂×C₃₁	#67	1	1	yes	characteristic
20	D₃₁	—	12	1	no	—
21	#213	—	31	1	no	maximal, Hall
22	C₃₁	#213	1	1	yes	characteristic, complemented, Sylow
23	C₃×D₄	D₃₁	1	1	yes	characteristic, complemented
24	D₁₂	—	31	1	no	—
25	C₃⋊C₈	—	31	1	no	—
26	D₈	—	93	1	no	Sylow
27	C₂²×C₃	—	2	1	no	—
28	C₂×D₃	—	62	1	no	—
29	C₃×C₄	C₂×D₃₁	1	1	yes	characteristic
30	D₄	—	93	1	no	—
31	D₄	D₉₃	1	1	yes	characteristic, complemented
32	C₈	—	93	1	no	—
33	C₂×C₃	—	4	1	no	—
34	C₂×C₃	C₂²⋊D₃₁	1	1	yes	characteristic
35	D₃	—	124	1	no	—
36	C₂²	—	2	1	no	—
37	C₂²	—	186	1	no	—
38	C₄	C₂×D₉₃	1	1	yes	characteristic
39	C₃	#92479	1	1	yes	characteristic, complemented, Sylow
40	C₂	—	4	1	no	—
41	C₂	—	372	1	no	—
42	C₂	#10625247	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.