Finite Group Databasebeta

← Group #10695571

Character table — Group #10695571

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222222222444444444488881616161616161616161616161616161616162424242424242424242424244848
order122222223446662444666612126121212244466881212121212122424242444444444444488
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1
χ4111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ51111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1111111-1-1
χ9222222222-2-22222-2-2-22222-2-22-2-2-20000000000000000002200-2-200000000
χ10222222222-2-22222-2-2-22222-2-22-2-2-2000000000000000000-2-2002200000000
χ1122222222-122-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-100000000000000
χ1222222222-122-1-1-12222-1-1-1-1-1-1-1-1-1-122-2-2-1-1-2-2-1-11111111100000000000000
χ1322222222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-22211-2-211-1-1-1-1111100000000000000
χ1422222222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-21122111111-1-1-1-100000000000000
χ15222222-2-2222222-22-2-2-2-22222-22-2-2002-200000022-2-2000000000000000000
χ16222222-2-2222222-22-2-2-2-22222-22-2-200-22000000-2-222000000000000000000
χ17222222-2-22-2-2222-2-222-2-222-2-2-2-222000000000000000000002200-2-2000000
χ18222222-2-22-2-2222-2-222-2-222-2-2-2-22200000000000000000000-2-20022000000
χ19222222-2-2-122-1-1-1-22-2-211-1-1-1-11-111002-2−i3i300−i3i3-1-111−i3−i3i3i300000000000000
χ20222222-2-2-122-1-1-1-22-2-211-1-1-1-11-111002-2i3−i300i3−i3-1-111i3i3−i3−i300000000000000
χ21222222-2-2-122-1-1-1-22-2-211-1-1-1-11-11100-22−i3i300−i3i311-1-1i3i3−i3−i300000000000000
χ22222222-2-2-122-1-1-1-22-2-211-1-1-1-11-11100-22i3−i300i3−i311-1-1−i3−i3i3i300000000000000
χ232222-2-222222222-2-22-222-2-222-2-22-20000000000000000000000000022-2-200
χ242222-2-222222222-2-22-222-2-222-2-22-200000000000000000000000000-2-22200
χ252222-2-2222-2-2222-22-2222-2-2-2-2-22-222-2002200-2-20000000000000000000000
χ262222-2-2222-2-2222-22-2222-2-2-2-2-22-22-2200-2-200220000000000000000000000
χ272222-2-222-1-2-2-1-1-1-22-22-1-111111-11-12-200-1-100113−33−33−33−300000000000000
χ282222-2-222-1-2-2-1-1-1-22-22-1-111111-11-12-200-1-10011−33−33−33−3300000000000000
χ292222-2-222-1-2-2-1-1-1-22-22-1-111111-11-1-22001100-1-13−33−3−33−3300000000000000
χ302222-2-222-1-2-2-1-1-1-22-22-1-111111-11-1-22001100-1-1−33−333−33−300000000000000
χ312222-2-2-2-22222222-2-22-2-2-2-2222-2-220000000000000000000000000000002-2
χ322222-2-2-2-22222222-2-22-2-2-2-2222-2-22000000000000000000000000000000-22
χ332222-2-2-2-22-2-2222222-2-2-2-2-2-2-2222-20000002i−2i0000002i−2i−2i2i00000000000000
χ342222-2-2-2-22-2-2222222-2-2-2-2-2-2-2222-2000000−2i2i000000−2i2i2i−2i00000000000000
χ352222-2-2-2-2-1-2-2-1-1-1222-2111111-1-1-110000−i3i32i−2ii3−i33−3−33−iii−i00000000000000
χ362222-2-2-2-2-1-2-2-1-1-1222-2111111-1-1-110000−i3i3−2i2ii3−i3−333−3i−i−ii00000000000000
χ372222-2-2-2-2-1-2-2-1-1-1222-2111111-1-1-110000i3−i32i−2i−i3i3−333−3−iii−i00000000000000
χ382222-2-2-2-2-1-2-2-1-1-1222-2111111-1-1-110000i3−i3−2i2i−i3i33−3−33i−i−ii00000000000000
χ3944444444-2-4-4-2-2-24-4-4-4-2-2-2-222-222200000000000000000000000000000000
χ40444444-4-4-2-4-4-2-2-2-4-44422-2-22222-2-200000000000000000000000000000000
χ414444-4-444-244-2-2-2-4-44-4-2-222-2-222-2200000000000000000000000000000000
χ424444-4-4-4-4-244-2-2-24-4-442222-2-2-222-200000000000000000000000000000000
χ4344-4-4004-4400-44-400004-400000000000000000000000000002i−2i002i−2i000000
χ4444-4-4004-4400-44-400004-40000000000000000000000000000−2i2i00−2i2i000000
χ4544-4-400-44400-44-40000-4400000000000000000000000000002i−2i00−2i2i000000
χ4644-4-400-44400-44-40000-440000000000000000000000000000−2i2i002i−2i000000
χ474-44-44-400400-4-440000004-4000000000000000000000000000000002i−2i2i−2i00
χ484-44-44-400400-4-440000004-400000000000000000000000000000000−2i2i−2i2i00
χ494-44-4-4400400-4-44000000-44000000000000000000000000000000002i−2i−2i2i00
χ504-44-4-4400400-4-44000000-4400000000000000000000000000000000−2i2i2i−2i00
χ514-4-44000044i−4i4-4-4000000004i−4i00000000000000000000002i−2i002-200000000
χ524-4-44000044i−4i4-4-4000000004i−4i0000000000000000000000−2i2i00-2200000000
χ534-4-4400004−4i4i4-4-400000000−4i4i00000000000000000000002i−2i00-2200000000
χ544-4-4400004−4i4i4-4-400000000−4i4i0000000000000000000000−2i2i002-200000000
χ5588-8-8008-8-4004-440000-440000000000000000000000000000000000000000
χ5688-8-800-88-4004-4400004-40000000000000000000000000000000000000000
χ578-88-88-800-40044-4000000-4400000000000000000000000000000000000000
χ588-88-8-8800-40044-40000004-400000000000000000000000000000000000000
χ598-8-880000-48i−8i-44400000000−4i4i000000000000000000000000000000000000
χ608-8-880000-4−8i8i-444000000004i−4i000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).