C₂²×D₃₄₉⋊C₈ #36375215

order	22336
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁶

Aliases

direct product	C₂²×D₃₄₉⋊C₈
unambiguous semidirect product	D₃₄₉⋊(C₂²×C₈)

C₃₄₉ ⋊ C₂³×C₈

338 conjugacy classes of subgroups.

μ_t(G) = 11168

1456 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22336, 1620);