C₇×D₉₉⋊D₁₁ #44478960

order	30492
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₇×D₉₉⋊D₁₁
unambiguous semidirect product	D₉₉⋊(C₇×D₁₁)

	subgroup	G/H
center, hypercenter	C₇	D₉₉⋊D₁₁
commutator, cosocle, hypocenter	C₉×C₁₁²	C₂²×C₇
Frattini	C₃	C₇×D₃₃⋊D₁₁
Fitting	C₇×C₉×C₁₁²	C₂²
socle	C₃×C₇×C₁₁²	C₂×D₃
LCS	G ▷ C₉×C₁₁²
UCS	C₁ ◁ C₇

180 conjugacy classes of subgroups.

μ_t(G) = 1386

2079 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30492, 183);