Finite Group Databasebeta

C2×Q8×#10621902 #26003672

order11008
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C213

Aliases

direct productC2×Q8×#10621902

Splittings

FittingC2×Q82×C43 ⋊ C2
SylowC43 ⋊ C2×Q8×#41

Subgroups

subgroupG/H
centerC23C24×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC2×Q82×C43C2
socleC23×C43C25
prime radicalC22×#10621902C22
hypercenterC2×Q82D43
hypocenterC43C2×Q8×#41
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×Q82

7522 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1150 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1076643);