Finite Group Databasebeta

← Group #10876112

Character table — Group #10876112

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111222222222222444444888888888888888888888881212121212121212121216161616161616161624242424242424242448
order122222223444466666664412121212444444488881212121224242424242424242222444444412121212121212124444488882
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-111-1-11111-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11-1-111-1-1-1-11
χ511111111111111111111111111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-11111111-1-1-1-1-1-1-1
χ611111111111111111111111111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111111
χ711111111111111111111111111-1-11-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11
χ811111111111111111111111111-1-11-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1
χ911111111111111111111-1-1111111-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-111-1-1-1-111-1-1-11111-1-1-1
χ1011111111111111111111-1-1111111-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111111-1-1-1-1111
χ1111111111111111111111-1-1111111-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-111-1-111-1-11-1-1-1-111-1-11
χ1211111111111111111111-1-1111111-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1-111-1-1-11111-1-111-1
χ1311111111111111111111-1-11111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1111
χ1411111111111111111111-1-11111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-111-1-1111111111-1-1-1
χ1511111111111111111111-1-11111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-11111-1-11-1-111-1-111-1
χ1611111111111111111111-1-11111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1-11111-1-1-111-1-111-1-11
χ17222222222-2-2-2-2222222222-2-2-2-200-20000000022-2-200000000000022-2-222000000000-2000000000
χ18222222222-2-2-2-2222222222-2-2-2-200-20000000022-2-2000000000000-2-222-2-20000000002000000000
χ19222222222-2-2-2-22222222-2-2-2-2-2-200200000000-2-22200000000000022-2-2-2-20000000002000000000
χ20222222222-2-2-2-22222222-2-2-2-2-2-200200000000-2-222000000000000-2-22222000000000-2000000000
χ2122222222-12222-1-1-1-1-1-1-122-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-100000000002-1-1-1-1-1-1-1-10000000000
χ2222222222-12222-1-1-1-1-1-1-122-1-1-1-1222-2-2-2-2-2-2-2-2-1-1-1-11111111100000000002-1-1-1-111110000000000
χ2322222222-12222-1-1-1-1-1-1-122-1-1-1-1-2-222222-2-2-2-2-1-1-1-1111111110000000000-21111-1-1-1-10000000000
χ2422222222-12222-1-1-1-1-1-1-122-1-1-1-1-2-22-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-10000000000-2111111110000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-122-222-2-222-2-21111-1-1-1-111110000000000-2-1-11111-1-10000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-122-2-2-222-2-22211111111-1-1-1-10000000000-2-1-111-1-1110000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-222-2-2-2-22211111111-1-1-1-10000000000211-1-111-1-10000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-2-22222-2-21111-1-1-1-111110000000000211-1-1-1-1110000000000
χ292222-2-2-2-22-22-22-22-222-2-2002-22-200000002i−2i0000002i2i−2i−2i000022-2-20000000000000000002i−2i00000
χ302222-2-2-2-22-22-22-22-222-2-2002-22-200000002i−2i0000002i2i−2i−2i0000-2-222000000000000000000−2i2i00000
χ312222-2-2-2-22-22-22-22-222-2-2002-22-20000000−2i2i000000−2i−2i2i2i000022-2-2000000000000000000−2i2i00000
χ322222-2-2-2-22-22-22-22-222-2-2002-22-20000000−2i2i000000−2i−2i2i2i0000-2-2220000000000000000002i−2i00000
χ3322-2-22-2-2222-2-2222-2-2-22-20022-2-2000002-2000000000000000000002i−2i2i−2i00000002-20002i−2i0000000
χ3422-2-22-2-2222-2-2222-2-2-22-20022-2-2000002-200000000000000000000−2i2i−2i2i00000002-2000−2i2i0000000
χ3522-2-22-2-2222-2-2222-2-2-22-20022-2-200000-22000000000000000000002i−2i2i−2i0000000-22000−2i2i0000000
χ3622-2-22-2-2222-2-2222-2-2-22-20022-2-200000-2200000000000000000000−2i2i−2i2i0000000-220002i−2i0000000
χ3722-2-22-2-222-222-222-2-2-22-200-2-2220002i−2i0000000000000000002-22-22i−2i−2i2i0000000002i−2i0000000000
χ3822-2-22-2-222-222-222-2-2-22-200-2-2220002i−2i000000000000000000-22-22−2i2i2i−2i0000000002i−2i0000000000
χ3922-2-22-2-222-222-222-2-2-22-200-2-222000−2i2i0000000000000000002-22-2−2i2i2i−2i000000000−2i2i0000000000
χ4022-2-22-2-222-222-222-2-2-22-200-2-222000−2i2i000000000000000000-22-222i−2i−2i2i000000000−2i2i0000000000
χ4122-2-2-222-2222-2-2-222-2-2-2200-222-22i−2i0000000000000000000002-2-2200000002i−2i000000000002i−2i000
χ4222-2-2-222-2222-2-2-222-2-2-2200-222-22i−2i000000000000000000000-222-200000002i−2i00000000000−2i2i000
χ4322-2-2-222-2222-2-2-222-2-2-2200-222-2−2i2i0000000000000000000002-2-220000000−2i2i00000000000−2i2i000
χ4422-2-2-222-2222-2-2-222-2-2-2200-222-2−2i2i000000000000000000000-222-20000000−2i2i000000000002i−2i000
χ4544444444-2-4-4-4-4-2-2-2-2-2-2-244222200-400000000-2-2220000000000000000000000000000000000000
χ4644444444-2-4-4-4-4-2-2-2-2-2-2-2-4-422220040000000022-2-20000000000000000000000000000000000000
χ474444-4-4-4-444-44-4-44-444-4-400-44-440000000000000000000000000000000000000000000000000000
χ484444-4-4-4-4-24-44-42-22-2-222002-22-200000000000000000002323−23−2300000000000000000000000000000
χ494444-4-4-4-4-24-44-42-22-2-222002-22-20000000000000000000−23−23232300000000000000000000000000000
χ504444-4-4-4-4-2-44-442-22-2-22200-22-2200000004i−4i000000−2i−2i2i2i000000000000000000000000000000000
χ514444-4-4-4-4-2-44-442-22-2-22200-22-220000000−4i4i0000002i2i−2i−2i000000000000000000000000000000000
χ5244-4-44-4-44-24-4-44-2-2222-2200-2-222000004-40000000000000000000000000000000-22000000000000
χ5344-4-44-4-44-24-4-44-2-2222-2200-2-22200000-4400000000000000000000000000000002-2000000000000
χ5444-4-44-4-44-2-444-4-2-2222-220022-2-20004i−4i00000000000000000000000000000000000−2i2i0000000000
χ5544-4-44-4-44-2-444-4-2-2222-220022-2-2000−4i4i000000000000000000000000000000000002i−2i0000000000
χ5644-4-4-444-44-4-444-444-4-4-44004-4-440000000000000000000000000000000000000000000000000000
χ5744-4-4-444-4-244-4-42-2-2222-2002-2-224i−4i00000000000000000000000000000000−2i2i0000000000000000
χ5844-4-4-444-4-244-4-42-2-2222-2002-2-22−4i4i000000000000000000000000000000002i−2i0000000000000000
χ5944-4-4-444-4-2-4-4442-2-2222-200-222-200000000000000000000000000000000000023−2300000000000000
χ6044-4-4-444-4-2-4-4442-2-2222-200-222-2000000000000000000000000000000000000−232300000000000000
χ614-44-444-4-4400004-4-44-4-444i−4i0000000000000004i−4i000000000000000000000000000000000000000
χ624-44-444-4-4400004-4-44-4-44−4i4i000000000000000−4i4i000000000000000000000000000000000000000
χ634-44-444-4-4-20000-222-222-24i−4i000000000000000−2i2i00i6−i6i6−i66−66−600000000000000000000000000000
χ644-44-444-4-4-20000-222-222-24i−4i000000000000000−2i2i00−i6i6−i6i6−66−6600000000000000000000000000000
χ654-44-444-4-4-20000-222-222-2−4i4i0000000000000002i−2i00i6−i6i6−i6−66−6600000000000000000000000000000
χ664-44-444-4-4-20000-222-222-2−4i4i0000000000000002i−2i00−i6i6−i6i66−66−600000000000000000000000000000
χ674-44-4-4-44440000-4-444-44-400000000000000022−220000000022−22−222200000000000000000000000000000
χ684-44-4-4-44440000-4-444-44-4000000000000000−222200000000−222222−2200000000000000000000000000000
χ694-44-4-4-444-2000022-2-22-2200000000000000022−220023−236−6−66−222−200000000000000000000000000000
χ704-44-4-4-444-2000022-2-22-2200000000000000022−2200−2323−666−6−222−200000000000000000000000000000
χ714-44-4-4-444-2000022-2-22-22000000000000000−22220023−23−666−62−2−2200000000000000000000000000000
χ724-44-4-4-444-2000022-2-22-22000000000000000−222200−23236−6−662−2−2200000000000000000000000000000
χ734-4-444-44-4400004-44-44-4-400000000000000000000000000000000000004i−4i0000000000000000000
χ744-4-444-44-4400004-44-44-4-40000000000000000000000000000000000000−4i4i0000000000000000000
χ754-4-44-44-4440000-4-4-4-4444000000000000000000000000000000000000000000000000000000022−220
χ764-4-44-44-4440000-4-4-4-44440000000000000000000000000000000000000000000000000000000−22220
χ778-8-888-88-8-40000-44-44-4440000000000000000000000000000000000000000000000000000000000
χ788-8-88-88-88-400004444-4-4-40000000000000000000000000000000000000000000000000000000000

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