Finite Group Databasebeta

C2×#30628258 #44536712

order31424
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C24

Aliases

direct productC2×#30628258

Splittings

SylowC491 ⋊ C2×#102

Subgroups

subgroupG/H
centerC23C22⋊D491
commutatorC4×C491C22×C4
FrattiniC2×C4C22×D491
Fitting, prime radicalC22×D4×C491C2
socleC23×C491D4
cosocleC2×C4×C491C23
hypercenterC22×D4D491
hypocenterC491C2×#102
LCSG ▷ C4×C491 ▷ C2×C491 ▷ C491
UCSC1 ◁ C23 ◁ C22×C4 ◁ C22×D4

202 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 15712

Conjugacy classes & character table

4928 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31424, 536);