Finite Group Databasebeta

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C4×Q8×D181 #26041742

order11584
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC4×Q8×D181

Splittings

FittingC4×Q8×C181 ⋊ C2
SylowC181 ⋊ C2×C4×Q8

Subgroups

subgroupG/H
centerC2×C4C22×D181
commutatorC2×C181C23×C4
FrattiniC22C23×D181
FittingC4×Q8×C181C2
socle, cosocleC22×C181C24
prime radicalC22×D181C23
hypercenterC4×Q8D181
hypocenterC181C2×C4×Q8
LCSG ▷ C2×C181 ▷ C181
UCSC1 ◁ C2×C4 ◁ C4×Q8

298 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1840 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup ofQ8⋊C8×D181, #37532114, #37532148, …
maximal normal subgroup ofQ8⋊C8×D181, #37532114, #37532148, …
maximal quotient ofC4×C4⋊C4×D181, C4×#19153781, C4×Q8×Dic181, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11584, 1012);