Finite Group Databasebeta

← Group #10769002

Character table — Group #10769002

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112222224444666688888888888888881212161616161616161616161616161624242424242424242424242448
order1222223666446644442444444444881212121244681212121212121212242424242224444444888
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-1-111-1-111-11-11-1-1-1-1-1-11
χ311111111111111111111-1-11111-1-1-1-11111111-1111-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1
χ411111111111111111111-1-1-1-1-1-11111-1-111111-1-1-11-1-1-111-1-111-1-1-11-11-1-11111-1
χ5111111111111111111-1-11111-1-111-1-1111111-1-1-1-1-111111-1-1-1-1111-1-1-11-111-1-1-1
χ6111111111111111111-1-111-1-111-1-111-1-11111-1-111-111-1-1-1-1-11111-1-11-1-11-1-111-1
χ7111111111111111111-1-1-1-111-1-1-1-111111111-11-1-1-1-1-11-1-11111-1-11-1-1-11-1-1-1111
χ8111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-1-11111-1-1-1-1-1-11-1-1111-1-11
χ911111111111111-1-1-1-11111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ1011111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111-1-1-111-1-1-1-11-11-1111111-1
χ1111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-11-1111-1-11-1-1-1-1-1-111-1-1-1-1-1-111111
χ1211111111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11-1-1-11-1-1-111-1-111111-11-111-1-1-1-11
χ1311111111111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1111-11-1-1111
χ1411111111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-111-111-1-1-1-1-111-1-111-111-111-1-11
χ1511111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-11-1-1-1-1-11-1-1111111-1111-1111-1-1-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1111-1-1-1-11111-1-11111-111-1-1-111-1
χ172222222222-2-22222-2-200002-2000000-2-2-2-22-20000000200000000-20002000000
χ182222222222-2-22222-2-20000-2200000022-2-22-20000000-2000000002000-2000000
χ192222222222-2-222-2-22200002-2000000-2-2-2-2-2200000002000000002000-2000000
χ202222222222-2-222-2-2220000-2200000022-2-2-220000000-200000000-20002000000
χ21222222-1-1-1-122-1-10000222222222222-1-1-1-100-12-1-1-1-1-1-1-1-1-1-1-1-10000000000000
χ22222222-1-1-1-122-1-100002222-2-2-2-2-2-2-2-211-1-100-1211-1-1-1111-1-1110000000000000
χ23222222-1-1-1-122-1-1000022-2-22222-2-2-2-2-1-1-1-100-1-2-1-1-111-11111110000000000000
χ24222222-1-1-1-122-1-1000022-2-2-2-2-2-2222211-1-100-1-211-1111-1-111-1-10000000000000
χ25222222-1-1-1-122-1-10000-2-22222-2-222-2-2-1-1-1-1001-2111-1-1-1-1-111110000000000000
χ26222222-1-1-1-122-1-10000-2-222-2-222-2-22211-1-1001-2-1-11-1-111111-1-10000000000000
χ27222222-1-1-1-122-1-10000-2-2-2-222-2-2-2-222-1-1-1-1001211111-111-1-1-1-10000000000000
χ28222222-1-1-1-122-1-10000-2-2-2-2-2-22222-2-211-1-10012-1-11111-1-1-1-1110000000000000
χ292222-2-222222-2-2-222220000002-20000002-2-2-200-2200000000000000-200200000
χ302222-2-222222-2-2-22222000000-220000002-2-2-2002-200000000000000200-200000
χ312222-2-222222-2-2-2-2-2-2-20000002-20000002-22200-2200000000000000200-200000
χ322222-2-222222-2-2-2-2-2-2-2000000-220000002-222002-200000000000000-200200000
χ332222-2-22222-22-2-222-2-22-2000000000000-22-222000-200000000000020-20000000
χ342222-2-22222-22-2-222-2-2-22000000000000-22-22-20002000000000000-2020000000
χ352222-2-22222-22-2-2-2-2222-2000000000000-222-22000-2000000000000-2020000000
χ362222-2-22222-22-2-2-2-222-22000000000000-222-2-2000200000000000020-20000000
χ37444444-2-2-2-2-4-4-2-2000000004-40000002222000000000-20000000000000000000
χ38444444-2-2-2-2-4-4-2-200000000-44000000-2-22200000000020000000000000000000
χ394444-4-4-2-2-2-24-42200000000004-4000000-2200002-200000000000000000000000
χ404444-4-4-2-2-2-24-4220000000000-44000000-220000-2200000000000000000000000
χ414444-4-4-2-2-2-2-442200004-40000000000002-200-200020000000000000000000000
χ424444-4-4-2-2-2-2-44220000-440000000000002-2002000-20000000000000000000000
χ4344-4-44-44-4-4400-440000000000000000000000000000000000000000000000−2i22i20
χ4444-4-44-44-4-4400-4400000000000000000000000000000000000000000000002i2−2i20
χ4544-4-4-444-4-44004-400000000000000−2i22i2000000000000000000−2i22i20000000000000
χ4644-4-4-444-4-44004-4000000000000002i2−2i20000000000000000002i2−2i20000000000000
χ4744-4-4-44-222-200-2200000000000000−2i22i223−2300000000000000i6−i6i2−i20000000000000
χ4844-4-4-44-222-200-2200000000000000−2i22i2−232300000000000000−i6i6i2−i20000000000000
χ4944-4-4-44-222-200-22000000000000002i2−2i223−2300000000000000−i6i6−i2i20000000000000
χ5044-4-4-44-222-200-22000000000000002i2−2i2−232300000000000000i6−i6−i2i20000000000000
χ514-44-4004-44-40000004i−4i002i−2i00000000000000000002i−2i00000002-200000000000
χ524-44-4004-44-40000004i−4i00−2i2i0000000000000000000−2i2i0000000-2200000000000
χ534-44-4004-44-4000000−4i4i002i−2i00000000000000000002i−2i0000000-2200000000000
χ544-44-4004-44-4000000−4i4i00−2i2i0000000000000000000−2i2i00000002-200000000000
χ554-4-440044-4-400004i−4i00000000002-200000000000000002-20000000000002i−2i000
χ564-4-440044-4-400004i−4i0000000000-220000000000000000-22000000000000−2i2i000
χ574-4-440044-4-40000−4i4i00000000002-200000000000000002-2000000000000−2i2i000
χ584-4-440044-4-40000−4i4i0000000000-220000000000000000-220000000000002i−2i000
χ5988-8-88-8-444-4004-40000000000000000000000000000000000000000000000000
χ608-88-800-44-4400000000004i−4i0000000000000000000−2i2i00000000000000000000
χ618-88-800-44-440000000000−4i4i00000000000000000002i−2i00000000000000000000
χ628-8-8800-4-44400000000000000004-40000000000000000-2200000000000000000
χ638-8-8800-4-4440000000000000000-4400000000000000002-200000000000000000

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