Finite Group Databasebeta

C2×#20299464 #28406234

order14464
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C25

Aliases

direct productC2×#20299464

Splittings

SylowC113 ⋊ C2×#336

Subgroups

subgroupG/H
centerC24C2×#90673
commutatorC2×C113C2×C4×C8
FrattiniC23C22×#90673
FittingC23×C4×C113C4
socle, prime radicalC24×C113C2×C4
cosocleC22×Dic113C23
hypercenterC23×C4#90673
hypocenterC113C2×#336
LCSG ▷ C2×C113 ▷ C113
UCSC1 ◁ C24 ◁ C23×C4

528 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14464

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 20170);