C₂×C₄×C₂²⋊C₄×D₈₃ #35562575

order	21248
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄² · Schur multiplier (H₂) = C₂¹⁰×C₄

Aliases

C₂×C₄×C₂²⋊C₄×D₈₃

Fitting	C₂×C₄×C₂²⋊C₄×C₈₃ ⋊ C₂
Sylow	C₈₃ ⋊ C₂²×C₄×C₂²⋊C₄

9534 conjugacy classes of subgroups.

μ_t(G) = 5312

3440 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 327739);