Finite Group Databasebeta

C2×#19147534 #25977118

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct productC2×#19147534

Splittings

FittingC2×C43×#557 ⋊ C2
SylowC43 ⋊ C2×#3388

Subgroups

subgroupG/H
centerC23C22×C22⋊D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#557C2
socleC23×C43C22×D4
prime radicalC22×D172C23
hypercenterC2×#557D43
hypocenterC43C2×#3388
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#557

1822 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1108 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1050089);