Subgroups — C₄₃×C₃⋊#6923 #44538377

Order 31476.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₄₃×D₆₁	C₂	1	1	yes	maximal, characteristic
2	C₄₃×#6923	—	3	1	no	maximal, Hall
3	C₃×C₄₃×C₆₁	C₄	1	1	yes	characteristic, complemented, Hall
4	C₄₃×D₆₁	D₃	1	1	yes	characteristic
5	C₄₃×C₆₁	Dic₃	1	1	yes	characteristic, complemented, Hall
6	C₃⋊#6923	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Hall
7	Dic₃×C₄₃	—	61	1	no	maximal, Hall
8	C₃×D₆₁	C₂×C₄₃	1	1	yes	characteristic
9	C₂×C₃×C₄₃	—	61	1	no	—
10	#6923	—	3	1	no	Hall
11	C₃×C₆₁	C₄×C₄₃	1	1	yes	characteristic, complemented, Hall
12	C₄×C₄₃	—	183	1	no	Hall
13	C₃×C₄₃	#6923	1	1	yes	characteristic, complemented, Hall
14	D₆₁	D₃×C₄₃	1	1	yes	characteristic
15	C₂×C₄₃	—	61	1	no	—
16	C₆₁	Dic₃×C₄₃	1	1	yes	characteristic, complemented, Sylow
17	C₄₃	C₃⋊#6923	1	1	yes	characteristic, direct product factor, Sylow
18	Dic₃	—	61	1	no	Hall
19	C₂×C₃	—	61	1	no	—
20	C₄	—	183	1	no	Sylow
21	C₃	C₄₃×#6923	1	1	yes	characteristic, complemented, Sylow
22	C₂	—	61	1	no	—

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.