Finite Group Databasebeta

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C₄²×D₃×C₇×C₉ #72219181

order	6048
isoclinism	isoclinic class of D₃
automorphism	?
homology	Abelianization (H₁) = C₂×C₄²×C₇×C₉ · Schur multiplier (H₂) = C₂²×C₄

Aliases

C₄²×D₃×C₇×C₉

Splittings

Fitting	C₃×C₄²×C₇×C₉ ⋊ C₂
derived	C₃ ⋊ C₂×C₄²×C₇×C₉
Hall	C₃×C₇×C₉ ⋊ C₂×C₄²
Sylow	C₃×C₉ ⋊ C₂×C₄²×C₇

Subgroups

708 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

3024 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of	C₄×D₃×C₇×C₈×C₉
maximal normal subgroup of	C₄×D₃×C₇×C₈×C₉
maximal quotient of	C₄×D₃×C₇×C₈×C₉

GAP

Past the SmallGroups library coverage — no SmallGroups id.