#46839505

order	34688
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂²×C₄²

Aliases

No aliases for this group.

C₂₇₁ ⋊ #2375

688 conjugacy classes of subgroups; only the 213 normal subgroups are shown.

normal subgroups only

This group has 688 conjugacy classes of subgroups — too many to draw. Only its 213 normal subgroups are shown.

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

μ_t(G) = 8672

Polycyclic presentation:

2^7,271|a^2=g,b^a=be,c^a=cf,d^a=def,h^a=h^270,c^b=cef,d^b=de

3818 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34688, 7651);