Finite Group Databasebeta

C4×D3092 #37612954

order24736
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C23

Aliases

direct productC4×D3092

Splittings

FittingC42×C773 ⋊ C2
SylowC773 ⋊ C4×D4

Subgroups

subgroupG/H
centerC2×C4C2×D773
commutatorC2×C773C22×C4
FrattiniC22C22×D773
FittingC42×C773C2
socle, cosocleC22×C773C23
prime radicalC2×D3092C2
hypercenterC42D773
hypocenterC773C4×D4
LCSG ▷ C2×C773 ▷ C773
UCSC1 ◁ C2×C4 ◁ C42

94 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 12368

Conjugacy classes & character table

6196 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24736, 110);