Finite Group Databasebeta

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C2×C4×C16×D43 #25249218

order11008
isoclinismisoclinic class of D43
automorphism?
homologyAbelianization (H1) = C22×C4×C16 · Schur multiplier (H2) = C25×C4

Aliases

direct productC2×C4×C16×D43

Splittings

FittingC2×C4×C16×C43 ⋊ C2
derived, SylowC43 ⋊ C22×C4×C16

Subgroups

subgroupG/H
center, hypercenterC2×C4×C16D43
commutator, hypocenterC43C22×C4×C16
FrattiniC2×C8C23×D43
FittingC2×C4×C16×C43C2
socleC23×C43C22×C8
prime radicalC23×D43C2×C8
cosocleC2×C8×C43C24
LCSG ▷ C43
UCSC1 ◁ C2×C4×C16

1022 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2944 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 322189);