Finite Group Databasebeta

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C2×#13049685 #72220263

order2592
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26×C33

Aliases

direct productC2×#13049685

Splittings

FittingC23×C34 ⋊ C22
SylowC34 ⋊ C22×D4

Subgroups

subgroupG/H
centerC22C2×D3×C3⋊(C3⋊D3)
commutator, cosocleC2×C34C24
FrattiniC2C22×D3×C3⋊(C3⋊D3)
FittingC23×C34C22
socleC22×C34C23
hypercenterC23D3×C3⋊(C3⋊D3)
hypocenterC34C22×D4
LCSG ▷ C2×C34 ▷ C34
UCSC1 ◁ C22 ◁ C23

11834 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

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

GAP

Past the SmallGroups library coverage — no SmallGroups id.