Finite Group Databasebeta

C2×#13092247 #15675189

order2944
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C22

Aliases

direct productC2×#13092247

Splittings

SylowC23 ⋊ C2×#368

Subgroups

subgroupG/H
centerC2×C4D184
commutatorC8×C23C22×C4
FrattiniC2×C8C22×D23
FittingC22×C16×C23C2
socleC22×C23#107
prime radicalC23×C23Q16
cosocleC2×C8×C23C23
hypercenterC22×C16D23
hypocenterC23C2×#368
LCSG ▷ C8×C23 ▷ C4×C23 ▷ C2×C23 ▷ C23
UCSC1 ◁ C2×C4 ◁ C22×C4 ◁ C22×C8 ◁ C22×C16

144 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1472

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 6302);