Finite Group Databasebeta

C4×D116 #11745235

order928
isoclinismisoclinic class of Dic58
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C23

Aliases

direct productC4×D116

Splittings

FittingC42×C29 ⋊ C2
SylowC29 ⋊ C4×D4

Subgroups

subgroupG/H
centerC2×C4C2×D29
commutatorC2×C29C22×C4
FrattiniC22C22×D29
FittingC42×C29C2
socle, cosocleC22×C29C23
prime radicalC2×D116C2
hypercenterC42D29
hypocenterC29C4×D4
LCSG ▷ C2×C29 ▷ C29
UCSC1 ◁ C2×C4 ◁ C42

94 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 464

Conjugacy classes & character table

244 conjugacy classes — view the full character table.

Relationships

maximal subgroup of#14270890, #14270892, #14271228, …
maximal normal subgroup of#14270890, #14270892, #14271228, …
maximal quotient ofC4×#90781, C4×C4⋊Dic29, #14271037, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(928, 94);