Finite Group Databasebeta

C2×#20299692 #28407729

order14464
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23

Aliases

direct productC2×#20299692

Splittings

SylowC113 ⋊ C2×#346

Subgroups

subgroupG/H
centerC23C2×#11744762
commutatorC2×C113C2×C4×C8
FrattiniC22C22×#11744762
FittingC22×C4×C113C8
socle, prime radicalC23×C113C2×C8
cosocleC2×#11744753C23
hypercenterC22×C4#11744762
hypocenterC113C2×#346
LCSG ▷ C2×C113 ▷ C113
UCSC1 ◁ C23 ◁ C22×C4

200 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14464

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 21665);