Finite Group Databasebeta

C2×#20299530 #28406994

order14464
automorphism?
homologyAbelianization (H1) = C22×C16 · Schur multiplier (H2) = C22

Aliases

direct productC2×#20299530

Splittings

SylowC113 ⋊ C2×M64

Subgroups

subgroupG/H
centerC2×C8C2×#90673
commutatorC2×C113C22×C16
FrattiniC8C22×#90673
FittingC22×C8×C113C4
socleC22×C113C2×C16
prime radicalC23×C113C16
cosocle#14268622C23
hypercenterC22×C8#90673
hypocenterC113C2×M64
LCSG ▷ C2×C113 ▷ C113
UCSC1 ◁ C2×C8 ◁ C22×C8

112 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7232

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, 20930);