Finite Group Databasebeta

C2×#28417909 #44470490

order29888
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4

Aliases

direct productC2×#28417909

Splittings

SylowC467 ⋊ C2×#117

Subgroups

subgroupG/H
centerC23C22×D467
commutatorC2×C467C23×C4
FrattiniC22C23×D467
FittingC2×C22⋊C4×C467C2
socleC23×C467C23
prime radicalC24×C467C22
cosocleC22×C467C24
hypercenterC2×C22⋊C4D467
hypocenterC467C2×#117
LCSG ▷ C2×C467 ▷ C467
UCSC1 ◁ C23 ◁ C2×C22⋊C4

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14944

Conjugacy classes & character table

4700 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29888, 1002);