Finite Group Databasebeta

Q8×#41×D43 #26003665

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

Aliases

direct productQ8×#41×D43

Splittings

FittingQ8×#41×C43 ⋊ C2
SylowC43 ⋊ C2×Q8×#41

Subgroups

subgroupG/H
centerC2×C4C24×D43
commutator, socle, cosocleC22×C43C26
FrattiniC22C25×D43
FittingQ8×#41×C43C2
prime radicalC2×#41×D43C22
hypercenterQ8×#41D43
hypocenterC43C2×Q8×#41
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ Q8×#41

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, 1076636);