Subgroups — #14582719

Order 2752.

46 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13063265	C₂	1	1	yes	maximal, characteristic
2	C₈×Dic₄₃	C₂	1	1	yes	maximal, characteristic
3	M₃₂×C₄₃	C₂	1	1	yes	maximal, characteristic
4	C₂×C₈×C₄₃	C₂²	1	1	yes	characteristic
5	C₄×Dic₄₃	C₄	1	1	yes	characteristic
6	C₂×C₄₃⋊C₈	C₄	1	1	yes	characteristic
7	C₁₆×C₄₃	—	2	1	no	—
8	C₄₃⋊C₁₆	—	2	1	no	—
9	C₂×C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
10	C₂×Dic₄₃	—	2	1	no	—
11	C₈×C₄₃	D₄	1	1	yes	characteristic
12	C₈×C₄₃	Q₈	1	1	yes	characteristic
13	C₄₃⋊C₈	C₈	1	2	yes	—
14	C₂²×C₄₃	M₁₆	1	1	yes	characteristic
15	C₄×C₄₃	C₄⋊C₄	1	1	yes	characteristic
16	C₄×C₄₃	C₂×C₈	1	1	yes	characteristic
17	Dic₄₃	—	2	2	no	—
18	C₂×C₄₃	—	2	1	no	—
19	C₂×C₄₃	C₄⋊C₈	1	1	yes	characteristic
20	#364	—	43	1	no	maximal, Sylow
21	C₄₃	#364	1	1	yes	characteristic, complemented, Sylow
22	M₃₂	—	43	1	no	—
23	M₃₂	D₄₃	1	1	yes	characteristic
24	C₄×C₈	—	43	1	no	—
25	C₂×C₈	—	43	1	no	—
26	C₂×C₈	C₂×D₄₃	1	1	yes	characteristic
27	C₄²	—	43	1	no	—
28	C₁₆	—	2	1	no	—
29	C₁₆	—	86	1	no	—
30	C₂×C₄	—	86	1	no	—
31	C₂×C₄	C₄×D₄₃	1	1	yes	characteristic
32	C₈	—	43	2	no	—
33	C₈	Dic₈₆	1	1	yes	characteristic
34	C₈	C₂²⋊D₄₃	1	1	yes	characteristic
35	C₂²	#10621872	1	1	yes	characteristic
36	C₄	—	86	2	no	—
37	C₄	C₈×D₄₃	1	1	yes	characteristic
38	C₄	Dic₄₃⋊C₄	1	1	yes	characteristic
39	C₂	—	2	1	no	—
40	C₂	Dic₄₃⋊C₈	1	1	yes	characteristic

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
21. C₄₃	#364	semidirect

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.