Finite Group Databasebeta

C4⋊C4×Dic46 #15676312

order2944
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC4⋊C4×Dic46

Splittings

SylowC23 ⋊ Q8×C4⋊C4

Subgroups

subgroupG/H
center, FrattiniC23C23×D23
commutatorC22×C23C23×C4
FittingC4×C4⋊C4×C23C2
socle, prime radical, cosocleC23×C23C24
hypercenterC4×C4⋊C4D23
hypocenterC23Q8×C4⋊C4
LCSG ▷ C22×C23 ▷ C23
UCSC1 ◁ C23 ◁ C4×C4⋊C4

568 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2944

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 7425);