Subgroups — #13093507

Order 1488.

40 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	1	yes	maximal, characteristic
3	C₃⋊(C₃₁⋊C₈)	C₂	1	1	yes	maximal, characteristic, complemented
4	#92481	—	3	1	no	maximal, Hall
5	C₂×D₉₃	—	2	1	no	—
6	C₃×C₄×C₃₁	—	2	1	no	—
7	C₃×C₄×C₃₁	C₂²	1	1	yes	characteristic
8	Q₈×C₃₁	D₃	1	1	yes	characteristic, complemented
9	D₁₂₄	—	3	1	no	—
10	C₃₁⋊C₈	—	3	1	no	—
11	C₂×C₃×C₃₁	D₄	1	1	yes	characteristic
12	D₉₃	—	4	1	no	—
13	C₂×D₃₁	—	6	1	no	—
14	C₄×C₃₁	—	2	1	no	—
15	C₄×C₃₁	C₂×D₃	1	1	yes	characteristic
16	C₃×C₃₁	SD₁₆	1	1	yes	characteristic, complemented, Hall
17	C₂×C₃₁	#67	1	1	yes	characteristic
18	D₃₁	—	12	1	no	—
19	#215	—	31	1	no	maximal, Hall
20	C₃₁	#215	1	1	yes	characteristic, complemented, Sylow
21	C₃×Q₈	D₃₁	1	1	yes	characteristic, complemented
22	D₁₂	—	31	1	no	—
23	C₃⋊C₈	—	31	1	no	—
24	SD₁₆	—	93	1	no	Sylow
25	C₂×D₃	—	62	1	no	—
26	C₃×C₄	—	2	1	no	—
27	C₃×C₄	C₂×D₃₁	1	1	yes	characteristic
28	Q₈	D₉₃	1	1	yes	characteristic, complemented
29	D₄	—	93	1	no	—
30	C₈	—	93	1	no	—
31	C₂×C₃	C₂²⋊D₃₁	1	1	yes	characteristic
32	D₃	—	124	1	no	—
33	C₂²	—	186	1	no	—
34	C₄	—	2	1	no	—
35	C₄	C₂×D₉₃	1	1	yes	characteristic
36	C₃	#92481	1	1	yes	characteristic, complemented, Sylow
37	C₂	—	372	1	no	—
38	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.