Finite Group Databasebeta

C4×Dic904 #28392434

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

Aliases

direct productC4×Dic904

Splittings

SylowC113 ⋊ C4×Q32

Subgroups

subgroupG/H
centerC2×C4D904
commutatorC8×C113C22×C4
FrattiniC2×C8C22×D113
FittingC4×C16×C113C2
socle, prime radicalC22×C113C2×D8
cosocleC2×C8×C113C23
hypercenterC4×C16D113
hypocenterC113C4×Q32
LCSG ▷ C8×C113 ▷ C4×C113 ▷ C2×C113 ▷ C113
UCSC1 ◁ C2×C4 ◁ C42 ◁ C4×C8 ◁ C4×C16

150 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14464

Conjugacy classes & character table

3628 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 6370);