Finite Group Databasebeta

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C4×C8×Dic113 #28390255

order14464
isoclinismisoclinic class of D113
automorphism?
homologyAbelianization (H1) = C42×C8 · Schur multiplier (H2) = C43

Aliases

direct productC4×C8×Dic113

Splittings

derived, SylowC113 ⋊ C42×C8

Subgroups

subgroupG/H
center, hypercenterC2×C4×C8D113
commutator, hypocenterC113C42×C8
FrattiniC22×C4C22×D113
FittingC2×C4×C8×C113C2
socle, prime radicalC23×C113C22×C4
cosocleC22×C4×C113C23
LCSG ▷ C113
UCSC1 ◁ C2×C4×C8

408 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14464

Conjugacy classes & character table

3712 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 4191);