Finite Group Databasebeta

← Group #10696097

Character table — Group #10696097

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size111122222222444444444448888161616161616161616161616161616161616242424242424242448484848
order12222234466644444661212121212121212444488121212121212121224242424224488884488
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ411111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
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
χ7111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ8111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ9222222222222-2-22-2-222-2-222-22-2-2002-200000022-2-20000000000000000
χ10222222222222-2-22-2-222-2-222-22-2-200-22000000-2-2220000000000000000
χ112222222-2-22222-2-22-22222-2-22-2-2-2000000000000000000000000002-200
χ122222222-2-22222-2-22-22222-2-22-2-2-200000000000000000000000000-2200
χ132222222-2-2222-22-2-2222-2-2-2-2-2-22200000000000000000022-2-200000000
χ142222222-2-2222-22-2-2222-2-2-2-2-2-222000000000000000000-2-22200000000
χ15222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ16222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-111111111000000000000
χ17222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-11111000000000000
χ18222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-1000000000000
χ19222222-122-1-1-1-2-22-2-2-1-111-1-11-111002-200−i3−i3i3i3-1-111−i3−i3i3i3000000000000
χ20222222-122-1-1-1-2-22-2-2-1-111-1-11-111002-200i3i3−i3−i3-1-111i3i3−i3−i3000000000000
χ21222222-122-1-1-1-2-22-2-2-1-111-1-11-11100-2200−i3−i3i3i311-1-1i3i3−i3−i3000000000000
χ22222222-122-1-1-1-2-22-2-2-1-111-1-11-11100-2200i3i3−i3−i311-1-1−i3−i3i3i3000000000000
χ232222-2-22222222-2-2-22-2-22222-2-22-200000000000000000000000000002-2
χ242222-2-22222222-2-2-22-2-22222-2-22-20000000000000000000000000000-22
χ252222-2-2222222-22-22-2-2-2-2-2222-2-22000000000000000000000022-2-20000
χ262222-2-2222222-22-22-2-2-2-2-2222-2-220000000000000000000000-2-2220000
χ272222-2-22-2-2222222-2-2-2-222-2-2-22-2200002i−2i000000002i−2i2i−2i000000000000
χ282222-2-22-2-2222222-2-2-2-222-2-2-22-220000−2i2i00000000−2i2i−2i2i000000000000
χ292222-2-22-2-2222-2-2222-2-2-2-2-2-2222-22-200002-22-200000000000000000000
χ302222-2-22-2-2222-2-2222-2-2-2-2-2-2222-2-220000-22-2200000000000000000000
χ312222-2-2-1-2-2-1-1-1222-2-211-1-1111-11-100002i−2i−i3i3i3−i33−33−3−ii−ii000000000000
χ322222-2-2-1-2-2-1-1-1222-2-211-1-1111-11-100002i−2ii3−i3−i3i3−33−33−ii−ii000000000000
χ332222-2-2-1-2-2-1-1-1222-2-211-1-1111-11-10000−2i2i−i3i3i3−i3−33−33i−ii−i000000000000
χ342222-2-2-1-2-2-1-1-1222-2-211-1-1111-11-10000−2i2ii3−i3−i3i33−33−3i−ii−i000000000000
χ352222-2-2-1-2-2-1-1-1-2-2222111111-1-1-112-20000-11-113−3−333−3−33000000000000
χ362222-2-2-1-2-2-1-1-1-2-2222111111-1-1-112-20000-11-11−333−3−333−3000000000000
χ372222-2-2-1-2-2-1-1-1-2-2222111111-1-1-11-2200001-11-13−3−33−333−3000000000000
χ382222-2-2-1-2-2-1-1-1-2-2222111111-1-1-11-2200001-11-1−333−33−3−33000000000000
χ39444444-2-4-4-2-2-24-4-44-4-2-2-2-222-2222000000000000000000000000000000
χ40444444-2-4-4-2-2-2-44-4-44-2-2222222-2-2000000000000000000000000000000
χ414444-4-4-244-2-2-24-4-4-4422-2-2-2-222-22000000000000000000000000000000
χ424444-4-4-244-2-2-2-44-44-42222-2-2-222-2000000000000000000000000000000
χ4344-4-44-44004-4-4000004-40000000000000000000000000000002-22-20000
χ4444-4-44-44004-4-4000004-4000000000000000000000000000000-22-220000
χ4544-4-4-444004-4-400000-440000000000000000000000000000002-2-220000
χ4644-4-4-444004-4-400000-44000000000000000000000000000000-222-20000
χ474-44-40044i−4i-44-40000000004i−4i00000000000000000000002-22i−2i00000000
χ484-44-40044i−4i-44-40000000004i−4i0000000000000000000000-22−2i2i00000000
χ494-44-4004−4i4i-44-4000000000−4i4i00000000000000000000002-2−2i2i00000000
χ504-44-4004−4i4i-44-4000000000−4i4i0000000000000000000000-222i−2i00000000
χ5188-8-88-8-400-44400000-4400000000000000000000000000000000000000
χ5288-8-8-88-400-444000004-400000000000000000000000000000000000000
χ538-88-800-48i−8i4-44000000000−4i4i0000000000000000000000000000000000
χ548-88-800-4−8i8i4-440000000004i−4i0000000000000000000000000000000000
χ558-8-8800800-8-88000000000000000000000000000000000000000000000
χ568-8-8800-40044-4000000043−43000000000000000000000000000000000000
χ578-8-8800-40044-40000000−4343000000000000000000000000000000000000

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