Finite Group Databasebeta

C2×#20298978 #28400990

order14464
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C24×C4

Aliases

direct productC2×#20298978

Splittings

SylowC113 ⋊ C2×#494

Subgroups

subgroupG/H
centerC23C2×D452
commutator, cosocleC2×C4×C113C24
FrattiniC2×C4C23×D113
FittingC2×C4×C8×C113C2
socle, prime radicalC23×C113C2×D4
hypercenterC2×C4×C8D113
hypocenterC113C2×#494
LCSG ▷ C2×C4×C113 ▷ C2×C113 ▷ C113
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C4×C8

552 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14464

Conjugacy classes & character table

3628 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 14926);