Finite Group Databasebeta

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C4×#16861165 #30641068

order16256
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C42

Aliases

direct productC4×#16861165

Splittings

SylowC127 ⋊ C4×#117

Subgroups

subgroupG/H
centerC22×C4C22×D127
commutatorC2×C127C22×C42
FrattiniC23C23×D127
FittingC4×C22⋊C4×C127C2
socle, cosocleC23×C127C24
prime radicalC24×C127C23
hypercenterC4×C22⋊C4D127
hypocenterC127C4×#117
LCSG ▷ C2×C127 ▷ C127
UCSC1 ◁ C22×C4 ◁ C4×C22⋊C4

752 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2600 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 6848);