Subgroups — Q₈×Dic₄₃ #13063292

Order 1376.

70 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×Q₈×C₄₃	C₂	1	1	yes	maximal, characteristic
2	C₄⋊Dic₄₃	C₂	1	3	yes	maximal
3	C₄×Dic₄₃	C₂	1	3	yes	maximal
4	Q₈×C₄₃	C₄	1	4	yes	complemented
5	C₂×C₄×C₄₃	C₂²	1	3	yes	—
6	C₂×Dic₄₃	C₂²	1	3	yes	—
7	C₂×Dic₄₃	C₂²	1	1	yes	characteristic
8	C₂²×C₄₃	C₂³	1	1	yes	characteristic
9	C₄×C₄₃	C₂×C₄	1	6	yes	—
10	Dic₄₃	—	2	3	no	—
11	Dic₄₃	Q₈	1	2	yes	direct product factor
12	C₂×C₄₃	C₂²×C₄	1	1	yes	characteristic
13	C₂×C₄₃	C₂×Q₈	1	1	yes	characteristic
14	C₂×C₄₃	#41	1	1	yes	characteristic
15	C₄₃	C₄×Q₈	1	1	yes	characteristic, complemented, Sylow
16	C₄×Q₈	—	43	1	no	maximal, Sylow
17	C₂×Q₈	D₄₃	1	1	yes	characteristic
18	C₄⋊C₄	—	43	3	no	—
19	C₄²	—	43	3	no	—
20	Q₈	Dic₄₃	1	4	yes	direct product factor
21	C₂×C₄	—	43	1	no	—
22	C₂×C₄	—	43	3	no	—
23	C₂×C₄	C₂×D₄₃	1	3	yes	—
24	C₂²	C₂²×D₄₃	1	1	yes	characteristic
25	C₄	—	43	2	no	—
26	C₄	—	86	3	no	—
27	C₄	C₂×Dic₄₃	1	6	yes	—
28	C₂	Q₈×D₄₃	1	1	yes	characteristic
29	C₂	#10621902	1	1	yes	characteristic
30	C₂	C₂²×Dic₄₃	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.