Finite Group Databasebeta

C2×#20298361 #28390288

order14464
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct productC2×#20298361

Splittings

SylowC113 ⋊ C2×#340

Subgroups

subgroupG/H
centerC24D452
commutatorC4×C113C2×C42
FrattiniC22×C4C22×D113
FittingC23×C8×C113C2
socle, prime radicalC24×C113D4
cosocleC22×C4×C113C23
hypercenterC23×C8D113
hypocenterC113C2×#340
LCSG ▷ C4×C113 ▷ C2×C113 ▷ C113
UCSC1 ◁ C24 ◁ C23×C4 ◁ C23×C8

512 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14464

Conjugacy classes & character table

3640 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 4224);