Subgroups — #28357293

Order 13856.

28 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20294100	C₂	1	2	yes	maximal, complemented
2	C₈×D₄₃₃	C₂	1	1	yes	maximal, characteristic
3	C₄×D₄₃₃	C₄	1	1	yes	characteristic
4	#16812358	C₂²	1	1	yes	characteristic
5	C₈×C₄₃₃	C₄	1	1	yes	characteristic
6	C₂×D₄₃₃	C₈	1	1	yes	characteristic
7	C₄×C₄₃₃	C₂×C₄	1	1	yes	characteristic
8	Dic₄₃₃	C₈	1	1	yes	characteristic
9	C₂×C₄₃₃	C₂×C₈	1	1	yes	characteristic
10	D₄₃₃	C₁₆	1	2	yes	complemented
11	C₄₃₃	C₂×C₁₆	1	1	yes	characteristic, complemented, Sylow
12	C₂×C₁₆	—	433	1	no	maximal, Sylow
13	C₂×C₈	—	433	1	no	—
14	C₁₆	—	433	2	no	—
15	C₂×C₄	—	433	1	no	—
16	C₈	—	433	1	no	—
17	C₈	#13181884	1	1	yes	characteristic
18	C₂²	—	433	1	no	—
19	C₄	—	433	1	no	—
20	C₄	C₂×#13181884	1	1	yes	characteristic
21	C₂	—	433	2	no	—
22	C₂	#20294105	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.