C₂²⋊C₄×(C₂×D₇₉)⋊C₄ #34209669

order	20224
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁷×C₄

Aliases

Fitting	C₂×C₄×C₂²⋊C₄×C₇₉ ⋊ C₂
Sylow	C₇₉ ⋊ C₂²⋊C₄²

4254 conjugacy classes of subgroups.

μ_t(G) = 5056

3220 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20224, 90968);