C₂×M₁₆×C₇⋊D₇ #72259380

order	3136
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁵×C₇

Aliases

C₂×M₁₆×C₇⋊D₇

Fitting	C₂×C₇²×M₁₆ ⋊ C₂
Sylow	C₇² ⋊ C₂²×M₁₆

1490 conjugacy classes of subgroups; only the 399 normal subgroups are shown.

normal subgroups only

This group has 1490 conjugacy classes of subgroups — too many to draw. Only its 399 normal subgroups are shown.

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

μ_t(G) = 784

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

maximal subgroup of	C₂×AGL(1,ℤ/8)×C₇⋊D₇, C₂×M₁₆×#64424
maximal normal subgroup of	C₂×AGL(1,ℤ/8)×C₇⋊D₇, C₂×M₁₆×#64424

Past the SmallGroups library coverage — no SmallGroups id.