Finite Group Databasebeta

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C4×C8×D193 #27135203

order12352
isoclinismisoclinic class of D193
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4

Aliases

direct productC4×C8×D193

Splittings

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

Subgroups

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

162 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

3136 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12352, 493);