Finite Group Databasebeta

C2×#17988605 #22618474

order9344
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productC2×#17988605

Splittings

FittingC2×#117×C73 ⋊ C2
SylowC73 ⋊ C2×#421

Subgroups

subgroupG/H
centerC2×C4C2×D292
commutatorC4×C73C23×C4
FrattiniC2×C4C23×D73
FittingC2×#117×C73C2
socleC22×C73C2×C22⋊C4
hypercenterC2×#117D73
hypocenterC73C2×#421
LCSG ▷ C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C2×#117

772 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1484 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of#32991445, #32991447, #32991452, …
maximal normal subgroup of#32991445, #32991447, #32991452, …
maximal quotient ofC2×#22608323, C2×#22608327, C2×#22608319, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 13053);