Subgroups — C₄₇×#10621728 #44540970

Order 31772.

96 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₇×C₁₃⋊D₁₃	C₂	1	1	yes	maximal, characteristic
2	C₁₃²×C₄₇	C₄	1	1	yes	characteristic, complemented, Hall
3	C₄₇×#261	—	13	14	no	maximal
4	D₁₃×C₄₇	—	13	14	no	—
5	#10621728	C₄₇	1	1	yes	maximal, characteristic, direct product factor, Hall
6	C₁₃×C₄₇	#261	1	14	yes	complemented
7	C₁₃⋊D₁₃	C₂×C₄₇	1	1	yes	characteristic
8	C₄×C₄₇	—	169	1	no	Hall
9	C₁₃²	C₄×C₄₇	1	1	yes	characteristic, complemented, Sylow
10	C₂×C₄₇	—	169	1	no	—
11	#261	—	13	14	no	—
12	C₄₇	#10621728	1	1	yes	characteristic, direct product factor, Sylow
13	D₁₃	—	13	14	no	—
14	C₁₃	C₄₇×#261	1	14	yes	complemented
15	C₄	—	169	1	no	Sylow
16	C₂	—	169	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.