Finite Group Databasebeta

C2×#19143190 #25960264

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct productC2×#19143190

Splittings

SylowC43 ⋊ C2×#2912

Subgroups

subgroupG/H
centerC23C22×D172
commutatorC4×C43C24×C4
FrattiniC2×C4C24×D43
FittingC22×#131×C43C2
socleC23×C43C22×D4
prime radicalC22×#41×C43C22
cosocleC2×C4×C43C25
hypercenterC22×#131D43
hypocenterC43C2×#2912
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C22×#41 ◁ C22×#131

2766 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1768 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1033235);