Finite Group Databasebeta

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#117×Dic73 #22612274

order9344
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C42

Aliases

direct product#117×Dic73

Splittings

SylowC73 ⋊ C4×#117

Subgroups

subgroupG/H
centerC22×C4C22×D73
commutatorC2×C73C22×C42
FrattiniC23C23×D73
FittingC2×#117×C73C2
socleC23×C73C24
hypercenterC2×#117D73
hypocenterC73C4×#117
LCSG ▷ C2×C73 ▷ C73
UCSC1 ◁ C22×C4 ◁ C2×#117

752 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1520 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of#32979425, #32979429, H(3,ℤ/4)×Dic73, …
maximal normal subgroup of#32979425, #32979429, H(3,ℤ/4)×Dic73, …
maximal quotient of#376×Dic73, C4×C22⋊C4×Dic73, C4×C4⋊C4×Dic73, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 6853);