Finite Group Databasebeta

C2×#20298449 #28392908

order14464
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4

Aliases

direct productC2×#20298449

Splittings

SylowC113 ⋊ C2×C4×C4⋊C4

Subgroups

subgroupG/H
centerC24C22×D113
commutatorC2×C113C22×C42
FrattiniC23C23×D113
FittingC2×#95×C113C2
socle, prime radicalC24×C113C23
cosocleC23×C113C24
hypercenterC2×#95D113
hypocenterC113C2×C4×C4⋊C4
LCSG ▷ C2×C113 ▷ C113
UCSC1 ◁ C24 ◁ C2×#95

928 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14464

Conjugacy classes & character table

2320 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 6844);