Finite Group Databasebeta

C4×#14556527 #22609833

order9344
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4

Aliases

direct productC4×#14556527

Splittings

SylowC73 ⋊ C4×#108

Subgroups

subgroupG/H
centerC42D292
commutatorC4×C73C2×C42
FrattiniC22×C4C22×D73
FittingC2×C4×C8×C73C2
socleC22×C73C2×C4⋊C4
hypercenterC2×C4×C8D73
hypocenterC73C4×#108
LCSG ▷ C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C42 ◁ C2×C42 ◁ C2×C4×C8

228 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2360 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of#32972901, #32972902, #32972904, …
maximal normal subgroup of#32972901, #32972902, #32972904, …
maximal quotient ofC4×#17988338, C4×#17988340, #32977173, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 4412);