Finite Group Databasebeta

C2×#30627591 #44530671

order31264
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C22

Aliases

direct productC2×#30627591

Splittings

SylowC977 ⋊ C2×M16

Subgroups

subgroupG/H
centerC2×C4C2×D977
commutatorC2×C977C22×C4
FrattiniC4C22×D977
FittingC22×C4×C977C2
socleC22×C977C2×C4
prime radicalC23×C977C4
cosocleC4×C977C23
hypercenterC22×C4D977
hypocenterC977C2×M16
LCSG ▷ C2×C977 ▷ C977
UCSC1 ◁ C2×C4 ◁ C22×C4

68 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 15632

Conjugacy classes & character table

7828 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31264, 151);