Finite Group Databasebeta

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C3×C8×#1043 #72223562

order2400
isoclinismisoclinic class of #1043
automorphism?
homologyAbelianization (H1) = C3×C4×C8 · Schur multiplier (H2) = C4

Aliases

direct productC3×C8×#1043

Splittings

FittingC3×C52×C8 ⋊ C4
derived, SylowC52 ⋊ C3×C4×C8
HallC3×C52 ⋊ C4×C8

Subgroups

subgroupG/H
center, hypercenterC3×C8#1043
commutator, hypocenterC52C3×C4×C8
FrattiniC4C2×C3×#1043
FittingC3×C52×C8C4
socleC2×C3×C52C42
prime radicalC2×C3×C5⋊D5C2×C4
cosocleC4×C5⋊D5C22×C3
LCSG ▷ C52
UCSC1 ◁ C3×C8

352 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

240 conjugacy classes — view the full character table.

Relationships

maximal subgroup ofC3×C8×#1043⋊C3, C3×C8×#6053
maximal normal subgroup ofC3×C8×#1043⋊C3, C3×C8×#6053

GAP

Past the SmallGroups library coverage — no SmallGroups id.