Finite Group Databasebeta

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C4×C8×Dic127 #30638411

order16256
isoclinismisoclinic class of D127
automorphism?
homologyAbelianization (H1) = C42×C8 · Schur multiplier (H2) = C43

Aliases

direct productC4×C8×Dic127

Splittings

derived, SylowC127 ⋊ C42×C8

Subgroups

subgroupG/H
center, hypercenterC2×C4×C8D127
commutator, hypocenterC127C42×C8
FrattiniC22×C4C22×D127
FittingC2×C4×C8×C127C2
socle, prime radicalC23×C127C22×C4
cosocleC22×C4×C127C23
LCSG ▷ C127
UCSC1 ◁ C2×C4×C8

408 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

4160 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 4191);