Finite Group Databasebeta

C2×#19132446 #24986278

order11008
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C24

Aliases

direct productC2×#19132446

Splittings

SylowC43 ⋊ C2×#1283

Subgroups

subgroupG/H
centerC22×C4(C2×D43)⋊C4
commutatorC22×C43C2×C4×C8
FrattiniC2×C42C22×D43
FittingC2×C4×M16×C43C2
socleC23×C43#95
prime radicalC24×C43C42
cosocleC2×C42×C43C23
hypercenterC2×C4×M16D43
hypocenterC43C2×#1283
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C22×C42 ◁ C2×C4×M16

722 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, 59249);