Subgroups — #13093508

Order 1488.

36 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
2	Dic₁₈₆	C₂	1	1	yes	maximal, characteristic
3	C₃⋊(C₃₁⋊C₈)	C₂	1	1	yes	maximal, characteristic
4	#92482	—	3	1	no	maximal, Hall
5	C₃×C₄×C₃₁	—	2	1	no	—
6	C₃×C₄×C₃₁	C₂²	1	1	yes	characteristic
7	Dic₉₃	—	2	1	no	—
8	Q₈×C₃₁	D₃	1	1	yes	characteristic
9	Dic₆₂	—	3	1	no	—
10	C₃₁⋊C₈	—	3	1	no	—
11	C₂×C₃×C₃₁	D₄	1	1	yes	characteristic
12	C₄×C₃₁	—	2	1	no	—
13	C₄×C₃₁	C₂×D₃	1	1	yes	characteristic
14	Dic₃₁	—	6	1	no	—
15	C₃×C₃₁	Q₁₆	1	1	yes	characteristic, complemented, Hall
16	C₂×C₃₁	#67	1	1	yes	characteristic
17	#216	—	31	1	no	maximal, Hall
18	C₃₁	#216	1	1	yes	characteristic, complemented, Sylow
19	C₃×Q₈	D₃₁	1	1	yes	characteristic
20	Dic₆	—	31	1	no	—
21	C₃⋊C₈	—	31	1	no	—
22	Q₁₆	—	93	1	no	Sylow
23	C₃×C₄	—	2	1	no	—
24	C₃×C₄	C₂×D₃₁	1	1	yes	characteristic
25	Dic₃	—	62	1	no	—
26	Q₈	—	93	1	no	—
27	Q₈	D₉₃	1	1	yes	characteristic
28	C₈	—	93	1	no	—
29	C₂×C₃	C₂²⋊D₃₁	1	1	yes	characteristic
30	C₄	—	2	1	no	—
31	C₄	—	186	1	no	—
32	C₄	C₂×D₉₃	1	1	yes	characteristic
33	C₃	#92482	1	1	yes	characteristic, complemented, Sylow
34	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.