Finite Group Databasebeta

C2×#17989400 #22624694

order9344
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productC2×#17989400

Splittings

FittingC22×Q16×C73 ⋊ C2
SylowC73 ⋊ C2×#578

Subgroups

subgroupG/H
centerC22C2×D4×D73
commutatorC4×C73C25
FrattiniC4C24×D73
FittingC22×Q16×C73C2
socleC22×C73C22×D4
hypercenterC22×Q16D73
hypocenterC73C2×#578
LCSG ▷ C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×Q16

1408 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1052 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of#33001673, #33001685, #33001714, …
maximal normal subgroup of#33001673, #33001685, #33001714, …
maximal quotient ofC2×#22618459, C2×#22618527, C2×#22618768, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 19273);