Finite Group Databasebeta

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C4×Q8×D151 #23752675

order9664
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC4×Q8×D151

Splittings

FittingC4×Q8×C151 ⋊ C2
SylowC151 ⋊ C2×C4×Q8

Subgroups

subgroupG/H
centerC2×C4C22×D151
commutatorC2×C151C23×C4
FrattiniC22C23×D151
FittingC4×Q8×C151C2
socle, cosocleC22×C151C24
prime radicalC22×D151C23
hypercenterC4×Q8D151
hypocenterC151C2×C4×Q8
LCSG ▷ C2×C151 ▷ C151
UCSC1 ◁ C2×C4 ◁ C4×Q8

298 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1540 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup ofQ8⋊C8×D151, #34067503, #34067537, …
maximal normal subgroup ofQ8⋊C8×D151, #34067503, #34067537, …
maximal quotient ofC4×C4⋊C4×D151, C4×#18012704, C4×Q8×Dic151, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9664, 1012);