Subgroups — C₁₃⋊D₁₀₇₉ #43242580

Order 28054.

64 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃²×C₈₃	C₂	1	1	yes	maximal, characteristic, complemented, Hall
2	D₁₀₇₉	—	13	14	no	maximal
3	C₁₃×C₈₃	D₁₃	1	14	yes	complemented
4	C₁₃⋊D₁₃	—	83	1	no	maximal, Hall
5	C₁₃²	D₈₃	1	1	yes	characteristic, complemented, Sylow
6	D₈₃	—	169	1	no	Hall
7	C₈₃	C₁₃⋊D₁₃	1	1	yes	characteristic, complemented, Sylow
8	D₁₃	—	1079	14	no	—
9	C₁₃	D₁₀₇₉	1	14	yes	complemented
10	C₂	—	14027	1	no	Sylow

	subgroup	G/H
center, Frattini, hypercenter	C₁	G
commutator, Fitting, socle, cosocle, hypocenter	C₁₃²×C₈₃	C₂
LCS	G ▷ C₁₃²×C₈₃
UCS	C₁

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.