Finite Group Databasebeta

C4×#14556612 #22618700

order9344
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC4×#14556612

Splittings

FittingC4×SD16×C73 ⋊ C2
SylowC73 ⋊ C4×#135

Subgroups

subgroupG/H
centerC2×C4D4×D73
commutatorC4×C73C23×C4
FrattiniC2×C4C23×D73
FittingC4×SD16×C73C2
socleC22×C73C22×D4
hypercenterC4×SD16D73
hypocenterC73C4×#135
LCSG ▷ C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C42 ◁ C4×SD16

500 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1064 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup ofC8×#14556612, #33055385, #33055462, …
maximal normal subgroup ofC8×#14556612, #33055385, #33055462, …
maximal quotient ofC8×#14556612, #33055510, #33055512, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 13279);