Finite Group Databasebeta

C8×#64541 #14572592

order2432
isoclinismisoclinic class of Dic38
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C25

Aliases

direct productC8×#64541

Splittings

FittingC2×C4×C8×C19 ⋊ C2
SylowC19 ⋊ C8×#41

Subgroups

subgroupG/H
centerC4×C8C2×D19
commutatorC2×C19C23×C8
FrattiniC2×C4C23×D19
FittingC2×C4×C8×C19C2
socleC22×C19C23×C4
prime radicalC2×#64541C4
cosocleC2×C4×C19C24
hypercenterC2×C4×C8D19
hypocenterC19C8×#41
LCSG ▷ C2×C19 ▷ C19
UCSC1 ◁ C4×C8 ◁ C2×C4×C8

456 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1216

Conjugacy classes & character table

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

Relationships

maximal subgroup ofC8×#10597262, C8×#10597282, #18073254, …
maximal normal subgroup ofC8×#10597262, C8×#10597282, #18073254, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 13467);