Finite Group Databasebeta

C4×#16861145 #30638632

order16256
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4

Aliases

direct productC4×#16861145

Splittings

SylowC127 ⋊ C4×#108

Subgroups

subgroupG/H
centerC42D508
commutatorC4×C127C2×C42
FrattiniC22×C4C22×D127
FittingC2×C4×C8×C127C2
socleC22×C127C2×C4⋊C4
prime radicalC23×C127C2×Q8
cosocleC22×C4×C127C23
hypercenterC2×C4×C8D127
hypocenterC127C4×#108
LCSG ▷ C4×C127 ▷ C2×C127 ▷ C127
UCSC1 ◁ C42 ◁ C2×C42 ◁ C2×C4×C8

228 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

4088 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 4412);