Finite Group Databasebeta

C2×#20298319 #28388849

order14464
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4

Aliases

direct productC2×#20298319

Splittings

SylowC113 ⋊ C2×#322

Subgroups

subgroupG/H
centerC2×C42C2×D113
commutatorC2×C113C2×C4×C8
FrattiniC42C22×D113
FittingC2×C4×C8×C113C2
socle, prime radicalC23×C113C42
cosocleC42×C113C23
hypercenterC2×C4×C8D113
hypocenterC113C2×#322
LCSG ▷ C2×C113 ▷ C113
UCSC1 ◁ C2×C42 ◁ C2×C4×C8

248 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14464

Conjugacy classes & character table

3664 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 2785);