Finite Group Databasebeta

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C2×#19143059 #25960071

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C210

Aliases

direct productC2×#19143059

Splittings

SylowC43 ⋊ C2×#2884

Subgroups

subgroupG/H
centerC22C22×C22⋊Dic43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
Fitting, prime radicalC22×2−1+4×C43C2
socleC22×C43C22×C22⋊C4
cosocleC23×C43C25
hypercenterC22×2−1+4D43
hypocenterC43C2×#2884
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23×Q8 ◁ C22×2−1+4

4818 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1510 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1033042);