Subgroups — #14520875

Order 1984.

46 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₆×C₃₁	C₂	1	1	yes	maximal, characteristic
2	#11758406	C₂	1	2	yes	maximal
3	C₂×C₈×C₃₁	C₂²	1	1	yes	characteristic
4	C₄⋊Dic₃₁	—	2	2	no	—
5	C₁₆×C₃₁	C₄	1	2	yes	complemented
6	C₂×C₄×C₃₁	D₄	1	1	yes	characteristic
7	C₂×Dic₃₁	—	4	2	no	—
8	C₈×C₃₁	C₂×C₄	1	1	yes	characteristic
9	C₈×C₃₁	Q₈	1	1	yes	characteristic
10	C₂²×C₃₁	D₈	1	1	yes	characteristic
11	C₄×C₃₁	C₄⋊C₄	1	1	yes	characteristic
12	C₄×C₃₁	Q₁₆	1	1	yes	characteristic
13	Dic₃₁	—	8	2	no	—
14	#366	—	31	1	no	maximal, Sylow
15	C₂×C₃₁	#107	1	1	yes	characteristic
16	C₂×C₃₁	D₁₆	1	1	yes	characteristic
17	C₂×C₃₁	Q₃₂	1	1	yes	characteristic
18	C₂×C₁₆	D₃₁	1	1	yes	characteristic
19	#107	—	31	2	no	—
20	C₃₁	#366	1	1	yes	characteristic, complemented, Sylow
21	C₂×C₈	C₂×D₃₁	1	1	yes	characteristic
22	C₄⋊C₄	—	62	2	no	—
23	C₁₆	Dic₃₁	1	2	yes	complemented
24	C₂×C₄	—	124	2	no	—
25	C₂×C₄	D₁₂₄	1	1	yes	characteristic
26	C₈	Dic₆₂	1	1	yes	characteristic
27	C₈	C₂×Dic₃₁	1	1	yes	characteristic
28	C₂²	D₂₄₈	1	1	yes	characteristic
29	C₄	—	248	2	no	—
30	C₄	Dic₁₂₄	1	1	yes	characteristic
31	C₄	C₄⋊Dic₃₁	1	1	yes	characteristic
32	C₂	D₄₉₆	1	1	yes	characteristic
33	C₂	Dic₂₄₈	1	1	yes	characteristic
34	C₂	#11758406	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.