Subgroups — #13077011

Order 1408.

1272 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#66927	C₂	1	14	yes	maximal, complemented
2	C₄³×C₁₁	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×D₄₄	C₂²	1	28	yes	—
4	C₂×C₄²×C₁₁	C₂²	1	7	yes	—
5	#66927	—	2	56	no	—
6	C₂³×D₁₁	C₂³	1	8	yes	—
7	C₂²×C₄×C₁₁	C₂³	1	7	yes	—
8	C₂×D₄₄	—	2	168	no	—
9	C₄²×C₁₁	D₄	1	28	yes	complemented
10	#2867	—	11	1	no	maximal, Sylow
11	C₂³×C₁₁	C₂⁴	1	1	yes	characteristic
12	C₂²×D₁₁	—	2	56	no	—
13	C₂×C₄×C₁₁	C₂×D₄	1	42	yes	—
14	D₄₄	—	4	112	no	—
15	C₂×#127	—	11	14	no	—
16	C₄³	D₁₁	1	1	yes	characteristic, complemented
17	C₂²×C₁₁	C₂²×D₄	1	7	yes	—
18	C₂×D₁₁	—	4	56	no	—
19	C₄×C₁₁	#127	1	28	yes	complemented
20	C₂²×D₄	—	11	28	no	—
21	#127	—	22	56	no	—
22	C₂×C₄²	C₂×D₁₁	1	7	yes	—
23	C₂×C₁₁	C₂×#127	1	7	yes	—
24	D₁₁	—	8	8	no	—
25	C₂⁴	—	11	8	no	—
26	C₂×D₄	—	22	168	no	—
27	C₂²×C₄	C₂²×D₁₁	1	7	yes	—
28	C₄²	D₄₄	1	28	yes	complemented
29	C₁₁	#2867	1	1	yes	characteristic, complemented, Sylow
30	C₂³	—	22	56	no	—
31	C₂³	C₂³×D₁₁	1	1	yes	characteristic
32	D₄	—	44	112	no	—
33	C₂×C₄	C₂×D₄₄	1	42	yes	—
34	C₂²	—	44	56	no	—
35	C₂²	C₂²×D₄₄	1	7	yes	—
36	C₄	#66927	1	28	yes	complemented
37	C₂	—	88	8	no	—
38	C₂	C₂×#66927	1	7	yes	—

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.