Finite Group Databasebeta

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C4×C3⋊D3×#97 #72222880

order2304
automorphism?
homologyAbelianization (H1) = C2×C43 · Schur multiplier (H2) = C24×C3×C42

Aliases

direct productC4×C3⋊D3×#97

Splittings

FittingC32×C4×#97 ⋊ C2
SylowC32 ⋊ C2×C4×#97

Subgroups

subgroupG/H
centerC2×C42C22×C3⋊D3
commutatorC2×C32C2×C43
FrattiniC22×C4C23×C3⋊D3
FittingC32×C4×#97C2
socleC23×C32C23×C4
prime radicalC23×C3⋊D3C22×C4
cosocleC22×C32×C4C24
hypercenterC4×#97C3⋊D3
hypocenterC32C2×C4×#97
LCSG ▷ C2×C32 ▷ C32
UCSC1 ◁ C2×C42 ◁ C4×#97

5370 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

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

GAP

Past the SmallGroups library coverage — no SmallGroups id.