#36362194

order	22144
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂³×C₄

Aliases

No aliases for this group.

Fitting	C₄×M₁₆×C₁₇₃ ⋊ C₂
Sylow	C₁₇₃ ⋊ #2920

484 conjugacy classes of subgroups; only the 197 normal subgroups are shown.

normal subgroups only

This group has 484 conjugacy classes of subgroups — too many to draw. Only its 197 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

μ_t(G) = 5536

Polycyclic presentation:

2^7,173|a^2=f,c^2=e,f^2=g,b^a=be,d^a=dg,h^b=h^172

3496 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22144, 13141);