Finite Group Databasebeta

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C4⋊C8×D193 #27135278

order12352
automorphism?
homologyAbelianization (H1) = C22×C8 · Schur multiplier (H2) = C23

Aliases

direct productC4⋊C8×D193

Splittings

FittingC4⋊C8×C193 ⋊ C2
SylowC193 ⋊ C2×C4⋊C8

Subgroups

subgroupG/H
center, FrattiniC2×C4C22×D193
commutatorC2×C193C22×C8
FittingC4⋊C8×C193C2
socleC22×C193C22×C4
prime radicalC22×D193C2×C4
cosocleC2×C4×C193C23
hypercenterC4⋊C8D193
hypocenterC193C2×C4⋊C8
LCSG ▷ C2×C193 ▷ C193
UCSC1 ◁ C2×C4 ◁ C4⋊C8

138 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1960 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12352, 568);