C₂⁴×D₉₈₃ #44538012

order	31456
automorphism	?
homology	Abelianization (H₁) = C₂⁵ · Schur multiplier (H₂) = C₂¹⁰

Aliases

direct product	C₂⁴×D₉₈₃
unambiguous semidirect product	C₉₈₃⋊C₂⁵
unambiguous semidirect product	(C₂×C₉₈₃)⋊C₂⁴

Fitting, socle	C₂⁴×C₉₈₃ ⋊ C₂
derived, Sylow	C₉₈₃ ⋊ C₂⁵

	subgroup	G/H
center, hypercenter	C₂⁴	D₉₈₃
commutator, cosocle, hypocenter	C₉₈₃	C₂⁵
Frattini	C₁	G
Fitting, socle	C₂⁴×C₉₈₃	C₂
LCS	G ▷ C₉₈₃
UCS	C₁ ◁ C₂⁴

748 conjugacy classes of subgroups.

μ_t(G) = 15728

7888 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31456, 195);