Finite Group Databasebeta

C2×#19134124 #25079232

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

Aliases

direct productC2×#19134124

Splittings

SylowC43 ⋊ C2×#1696

Subgroups

subgroupG/H
centerC23#13063300
commutator, cosocleC42×C43C24
FrattiniC42C23×D43
FittingC2×C43×#334C2
socle, prime radicalC23×C43#121
hypercenterC2×#334D43
hypocenterC43C2×#1696
LCSG ▷ C42×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#334

618 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1222 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 152203);