Finite Group Databasebeta

C2×#13092268 #15675731

order2944
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4

Aliases

direct productC2×#13092268

Splittings

SylowC23 ⋊ C2×C4×C4⋊C4

Subgroups

subgroupG/H
centerC24C22×D23
commutatorC2×C23C22×C42
FrattiniC23C23×D23
FittingC2×C23×#95C2
socle, prime radicalC24×C23C23
cosocleC23×C23C24
hypercenterC2×#95D23
hypocenterC23C2×C4×C4⋊C4
LCSG ▷ C2×C23 ▷ C23
UCSC1 ◁ C24 ◁ C2×#95

928 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2944

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 6844);