Finite Group Databasebeta

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C2×C4×C127⋊C16 #30640317

order16256
automorphism?
homologyAbelianization (H1) = C2×C4×C16 · Schur multiplier (H2) = C22×C4

Aliases

direct productC2×C4×C127⋊C16

Splittings

derived, SylowC127 ⋊ C2×C4×C16

Subgroups

subgroupG/H
center, hypercenterC2×C4×C8D127
commutator, hypocenterC127C2×C4×C16
FrattiniC2×C8C22×D127
FittingC2×C4×C8×C127C2
socle, prime radicalC23×C127C2×C8
cosocleC2×C8×C127C23
LCSG ▷ C127
UCSC1 ◁ C2×C4×C8

216 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, 6097);