Finite Group Databasebeta

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C4×#14583615 #25256542

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C27×C4

Aliases

direct productC4×#14583615

Splittings

FittingC4×C4⋊Q8×C43 ⋊ C2
SylowC43 ⋊ C4×#555

Subgroups

subgroupG/H
centerC22×C4C23×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
FittingC4×C4⋊Q8×C43C2
socle, cosocleC23×C43C25
prime radicalC2×#14583615C2
hypercenterC4×C4⋊Q8D43
hypocenterC43C4×#555
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C4×C4⋊Q8

2564 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1276 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 329513);