Finite Group Databasebeta

C2×Dic3884 #44527169

order31072
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×Dic3884

Splittings

SylowC971 ⋊ C2×Q16

Subgroups

subgroupG/H
centerC22D3884
commutator, cosocleC4×C971C23
FrattiniC4C22×D971
FittingC2×C8×C971C2
socle, prime radicalC22×C971D4
hypercenterC2×C8D971
hypocenterC971C2×Q16
LCSG ▷ C4×C971 ▷ C2×C971 ▷ C971
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×C8

60 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 31072

Conjugacy classes & character table

7774 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31072, 164);