Subgroups — C₂⁶×D₄₃ #19149409

Order 5504.

58424 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂⁵×D₄₃	C₂	1	126	yes	maximal, direct product factor
2	C₂⁶×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂⁴×D₄₃	C₂²	1	2604	yes	direct product factor
4	C₂⁵×C₄₃	C₂²	1	63	yes	complemented
5	C₂⁴×C₄₃	C₂³	1	651	yes	complemented
6	C₂³×D₄₃	C₂³	1	11160	yes	direct product factor
7	C₂³×C₄₃	C₂⁴	1	1395	yes	complemented
8	C₂²×D₄₃	C₂⁴	1	10416	yes	direct product factor
9	C₂²×C₄₃	C₂⁵	1	651	yes	complemented
10	C₂×D₄₃	C₂⁵	1	2016	yes	direct product factor
11	C₂⁷	—	43	1	no	maximal, Sylow
12	C₂×C₄₃	C₂⁶	1	63	yes	complemented
13	D₄₃	C₂⁶	1	64	yes	direct product factor
14	C₂⁶	—	43	126	no	—
15	C₂⁶	D₄₃	1	1	yes	characteristic, direct product factor
16	C₄₃	C₂⁷	1	1	yes	characteristic, complemented, Sylow
17	C₂⁵	—	43	2604	no	—
18	C₂⁵	C₂×D₄₃	1	63	yes	direct product factor
19	C₂⁴	—	43	11160	no	—
20	C₂⁴	C₂²×D₄₃	1	651	yes	direct product factor
21	C₂³	—	43	10416	no	—
22	C₂³	C₂³×D₄₃	1	1395	yes	direct product factor
23	C₂²	—	43	2016	no	—
24	C₂²	C₂⁴×D₄₃	1	651	yes	direct product factor
25	C₂	—	43	64	no	—
26	C₂	C₂⁵×D₄₃	1	63	yes	direct product factor

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