Finite Group Databasebeta

C4×Dic1994 #44542267

order31904
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C22

Aliases

direct productC4×Dic1994

Splittings

SylowC997 ⋊ C4×Q8

Subgroups

subgroupG/H
centerC2×C4C2×D997
commutatorC2×C997C22×C4
FrattiniC22C22×D997
FittingC42×C997C2
socle, prime radical, cosocleC22×C997C23
hypercenterC42D997
hypocenterC997C4×Q8
LCSG ▷ C2×C997 ▷ C997
UCSC1 ◁ C2×C4 ◁ C42

70 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 31904

Conjugacy classes & character table

7988 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31904, 112);