Finite Group Databasebeta

C2×#30627597 #44530683

order31264
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×#30627597

Splittings

SylowC977 ⋊ C2×Q16

Subgroups

subgroupG/H
centerC22C22⋊D977
commutator, cosocleC4×C977C23
FrattiniC4C22×D977
FittingC2×Q8×C977C2
socle, prime radicalC22×C977D4
hypercenterC2×Q8D977
hypocenterC977C2×Q16
LCSG ▷ C4×C977 ▷ C2×C977 ▷ C977
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×Q8

60 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 31264

Conjugacy classes & character table

4894 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31264, 163);