Finite Group Databasebeta

C8×Dic94 #15689248

order3008
isoclinismisoclinic class of Dic94
automorphism?
homologyAbelianization (H1) = C22×C8 · Schur multiplier (H2) = C22

Aliases

direct productC8×Dic94

Splittings

SylowC47 ⋊ C8×Q8

Subgroups

subgroupG/H
centerC2×C8C2×D47
commutatorC2×C47C22×C8
FrattiniC2×C4C22×D47
FittingC4×C8×C47C2
socle, prime radicalC22×C47C22×C4
cosocleC2×C4×C47C23
hypercenterC4×C8D47
hypocenterC47C8×Q8
LCSG ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C8 ◁ C4×C8

102 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3008

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3008, 674);