Subgroups — #13050252

Order 1312.

62 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10620310	C₂	1	1	yes	maximal, characteristic
2	#10620297	C₂	1	3	yes	maximal, complemented
3	#10620296	C₂	1	3	yes	maximal, complemented
4	Q₈×C₄₁	C₄	1	1	yes	characteristic
5	D₁₆₄	C₄	1	3	yes	—
6	C₄×D₄₁	C₂²	1	3	yes	—
7	#66493	C₂²	1	1	yes	characteristic
8	#66493	C₂²	1	3	yes	—
9	C₂×D₄₁	C₂×C₄	1	3	yes	—
10	C₄×C₄₁	C₂×C₄	1	3	yes	—
11	Dic₄₁	C₂³	1	1	yes	characteristic
12	C₂×C₄₁	C₂²×C₄	1	1	yes	characteristic
13	D₄₁	—	2	3	no	—
14	C₄₁	#131	1	1	yes	characteristic, complemented, Sylow
15	#131	—	41	1	no	maximal, Sylow
16	#41	—	41	1	no	—
17	M₁₆	—	41	3	no	—
18	C₂×C₈	—	41	3	no	—
19	Q₈	#4223	1	1	yes	characteristic
20	D₄	—	41	3	no	—
21	C₂×C₄	—	41	3	no	—
22	C₈	—	41	1	no	—
23	C₈	—	41	3	no	—
24	C₂²	—	41	3	no	—
25	C₄	—	41	1	no	—
26	C₄	C₂×#4223	1	3	yes	—
27	C₂	—	82	3	no	—
28	C₂	C₂²×#4223	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.