#46830249

order	34624
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂²

Aliases

No aliases for this group.

Fitting	C₂²⋊C₈×C₅₄₁ ⋊ C₂
Sylow	C₅₄₁ ⋊ #435

124 conjugacy classes of subgroups; only the 51 normal subgroups are shown.

normal subgroups only

This group has 124 conjugacy classes of subgroups — too many to draw. Only its 51 normal subgroups are shown.

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

μ_t(G) = 17312

Polycyclic presentation:

2^6,541|a^2=e,c^2=e,e^2=f,b^a=bd,c^a=cf,g^a=g^540,g^b=g^540,g^c=g^540

5428 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34624, 623);