Finite Group Databasebeta

C2×#99×D23 #15681848

order2944
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C27

Aliases

direct productC2×#99×D23

Splittings

FittingC2×C23×#99 ⋊ C2
SylowC23 ⋊ C22×#99

Subgroups

subgroupG/H
centerC22C22⋊C4×D23
commutatorC22×C23C23×C4
FrattiniC23C23×D23
FittingC2×C23×#99C2
socleC22×C23C2×C22⋊C4
prime radicalC22×D4×D23C2
cosocleC23×C23C24
hypercenterC2×#99D23
hypocenterC23C22×#99
LCSG ▷ C22×C23 ▷ C2×C23 ▷ C23
UCSC1 ◁ C22 ◁ C24 ◁ C2×#99

1112 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 368

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 12961);