Subgroups — D₂₉×C₄₆₃ #41001670

Order 26854.

8 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₉×C₄₆₃	C₂	1	1	yes	maximal, characteristic, complemented, Hall
2	C₂×C₄₆₃	—	29	1	no	maximal, Hall
3	C₄₆₃	D₂₉	1	1	yes	characteristic, direct product factor, Sylow
4	D₂₉	C₄₆₃	1	1	yes	maximal, characteristic, direct product factor, Hall
5	C₂₉	C₂×C₄₆₃	1	1	yes	characteristic, complemented, Sylow
6	C₂	—	29	1	no	Sylow

	subgroup	G/H
center, hypercenter	C₄₆₃	D₂₉
commutator, cosocle, hypocenter	C₂₉	C₂×C₄₆₃
Frattini	C₁	G
Fitting, socle	C₂₉×C₄₆₃	C₂
LCS	G ▷ C₂₉
UCS	C₁ ◁ C₄₆₃

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.