Finite Group Databasebeta

← Group #10696083

Character table — Group #10696083

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size111122222222444444444448888161616161616161616161616161616161616242424242424242448484848
order122222344666444446612121212121212122444668812121212121224242424444488884488
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ411111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ5111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1
χ8111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ92222222222222-2-2-2-222-2-2222-2-2-2002-200000022-2-20000000000000000
χ102222222222222-2-2-2-222-2-2222-2-2-200-22000000-2-2220000000000000000
χ112222222-2-2222-22-22-22222-2-2-2-2-22000000000000000000000000002-200
χ122222222-2-2222-22-22-22222-2-2-2-2-2200000000000000000000000000-2200
χ132222222-2-2222-2-22-2222-2-2-2-2-222-200000000000000000022-2-200000000
χ142222222-2-2222-2-22-2222-2-2-2-2-222-2000000000000000000-2-22200000000
χ15222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1000000000000
χ16222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-122-2-2-1-1-2-2-1-111111111000000000000
χ17222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1-2-22211-2-211-1-1-1-11111000000000000
χ18222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1-2-2-2-21122111111-1-1-1-1000000000000
χ19222222-122-1-1-12-2-2-2-2-1-111-1-1-1111002-2−i3i300−i3i3-1-111−i3−i3i3i3000000000000
χ20222222-122-1-1-12-2-2-2-2-1-111-1-1-1111002-2i3−i300i3−i3-1-111i3i3−i3−i3000000000000
χ21222222-122-1-1-12-2-2-2-2-1-111-1-1-111100-22−i3i300−i3i311-1-1i3i3−i3−i3000000000000
χ22222222-122-1-1-12-2-2-2-2-1-111-1-1-111100-22i3−i300i3−i311-1-1−i3−i3i3i3000000000000
χ232222-2-2222222-22-2-22-2-22222-22-2-200000000000000000000000000002-2
χ242222-2-2222222-22-2-22-2-22222-22-2-20000000000000000000000000000-22
χ252222-2-2222222-2-222-2-2-2-2-222-2-222000000000000000000000022-2-20000
χ262222-2-2222222-2-222-2-2-2-2-222-2-2220000000000000000000000-2-2220000
χ272222-2-22-2-2222222-2-2-2-222-2-22-22-20000002i−2i0000002i−2i2i−2i000000000000
χ282222-2-22-2-2222222-2-2-2-222-2-22-22-2000000−2i2i000000−2i2i−2i2i000000000000
χ292222-2-22-2-22222-2-222-2-2-2-2-2-222-222-2002200-2-200000000000000000000
χ302222-2-22-2-22222-2-222-2-2-2-2-2-222-22-2200-2-2002200000000000000000000
χ312222-2-2-1-2-2-1-1-1222-2-211-1-111-11-110000−i3i32i−2ii3−i33−33−3−ii−ii000000000000
χ322222-2-2-1-2-2-1-1-1222-2-211-1-111-11-110000−i3i3−2i2ii3−i3−33−33i−ii−i000000000000
χ332222-2-2-1-2-2-1-1-1222-2-211-1-111-11-110000i3−i32i−2i−i3i3−33−33−ii−ii000000000000
χ342222-2-2-1-2-2-1-1-1222-2-211-1-111-11-110000i3−i3−2i2i−i3i33−33−3i−ii−i000000000000
χ352222-2-2-1-2-2-1-1-12-2-222111111-1-11-12-200-1-100113−3−333−3−33000000000000
χ362222-2-2-1-2-2-1-1-12-2-222111111-1-11-12-200-1-10011−333−3−333−3000000000000
χ372222-2-2-1-2-2-1-1-12-2-222111111-1-11-1-22001100-1-13−3−33−333−3000000000000
χ382222-2-2-1-2-2-1-1-12-2-222111111-1-11-1-22001100-1-1−333−33−3−33000000000000
χ39444444-2-4-4-2-2-2-44-44-4-2-2-2-222222-2000000000000000000000000000000
χ40444444-2-4-4-2-2-2-4-44-44-2-222222-2-22000000000000000000000000000000
χ414444-4-4-244-2-2-2-44-4-4422-2-2-2-22-222000000000000000000000000000000
χ424444-4-4-244-2-2-2-4-444-42222-2-222-2-2000000000000000000000000000000
χ434-44-44-4400-4-44000004-40000000000000000000000000000002i−2i2i−2i0000
χ444-44-44-4400-4-44000004-4000000000000000000000000000000−2i2i−2i2i0000
χ454-44-4-44400-4-4400000-440000000000000000000000000000002i−2i−2i2i0000
χ464-44-4-44400-4-4400000-44000000000000000000000000000000−2i2i2i−2i0000
χ474-4-440044i−4i4-4-40000000004i−4i00000000000000000000002i−2i2-200000000
χ484-4-440044i−4i4-4-40000000004i−4i0000000000000000000000−2i2i-2200000000
χ494-4-44004−4i4i4-4-4000000000−4i4i00000000000000000000002i−2i-2200000000
χ504-4-44004−4i4i4-4-4000000000−4i4i0000000000000000000000−2i2i2-200000000
χ5188-8-800800-88-8000000000000000000000000000000000000000000000
χ5288-8-800-4004-44000000043−43000000000000000000000000000000000000
χ5388-8-800-4004-440000000−4343000000000000000000000000000000000000
χ548-88-88-8-40044-400000-4400000000000000000000000000000000000000
χ558-88-8-88-40044-4000004-400000000000000000000000000000000000000
χ568-8-8800-48i−8i-444000000000−4i4i0000000000000000000000000000000000
χ578-8-8800-4−8i8i-4440000000004i−4i0000000000000000000000000000000000

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