Finite Group Databasebeta

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#487×Dic43 #25104574

order11008
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4

Aliases

direct product#487×Dic43

Splittings

SylowC43 ⋊ C4×#487

Subgroups

subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC2×C43×#487C2
socle, prime radicalC23×C43C22×D4
cosocleC22×C4×C43C24
hypercenterC2×#487D43
hypocenterC43C4×#487
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#487

878 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 177545);