C₂×Q₈×#13063703 #36375209

order	22336
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁵

Aliases

direct product	C₂×Q₈×#13063703
unambiguous semidirect product	D₃₄₉⋊(C₄×Q₈)

Fitting	C₂×Q₈×C₃₄₉ ⋊ C₄
Sylow	C₃₄₉ ⋊ C₂×C₄×Q₈

298 conjugacy classes of subgroups.

μ_t(G) = 5584

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22336, 1614);