Finite Group Databasebeta

← Prev (#72246593) Next (#72246595) →

C₃×D₃×D₄×D₇ #72246594

order	2016
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₃ · Schur multiplier (H₂) = C₂⁶

Aliases

C₃×D₃×D₄×D₇

Splittings

Fitting	C₃²×C₇×D₄ ⋊ C₂²
Hall	C₃²×C₇ ⋊ C₂²×D₄
Sylow	C₃² ⋊ C₂×D₄×D₇
Sylow	C₇ ⋊ C₂×C₃×D₃×D₄

Subgroups

998 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degree

μ_t(G) = 168

Conjugacy classes & character table

225 conjugacy classes — view the full character table.

Relationships

maximal subgroup of	D₃²×D₄×D₇, C₃×D₇×#1004, D₇×#64314, …
maximal normal subgroup of	D₃²×D₄×D₇, C₃×D₇×#1004, D₇×#64314, …
maximal quotient of	C₃×D₇×#937

GAP

Past the SmallGroups library coverage — no SmallGroups id.