Finite Group Databasebeta

← Group #10859003

Character table — Group #10859003

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111222222222222444444888888888888888888888881212121212121212121216161616161616161624242424242424242448
order1222222234444666666644121212122244444888812121212242424242424242422444444444661212121212124444488884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-111-1-111-1-1111-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11111111
χ511111111111111111111111111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-111-1-1111-1-111-1-1-1-11
χ611111111111111111111111111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-111-1-11111-1
χ711111111111111111111111111-1-1-1-11-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1
χ811111111111111111111111111-1-1-1-11-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11
χ911111111111111111111-1-111111111-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1
χ1011111111111111111111-1-111111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-11111-1-1-1-11-1-1-1-1-1-1111
χ1111111111111111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-111-111-1-1-1-1111
χ1211111111111111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1111-1-11111-1-1-1
χ1311111111111111111111-1-11111-1-111-111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-11111-1-1-1-1-111-1-111-1
χ1411111111111111111111-1-11111-1-111-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-11111-1-1111-1-111-1-11
χ1511111111111111111111-1-11111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111111-1-1-1-11111-1-1-1-1-111-1-11
χ1611111111111111111111-1-11111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1111111111-1-111-1
χ17222222222-2-2-2-2222222222-2-2-2-20000-2000000-2-2220000000022-2-2220000000000000-2000000000
χ18222222222-2-2-2-2222222222-2-2-2-20000-2000000-2-22200000000-2-222-2-200000000000002000000000
χ19222222222-2-2-2-22222222-2-2-2-2-2-20000200000022-2-20000000022-2-2-2-200000000000002000000000
χ20222222222-2-2-2-22222222-2-2-2-2-2-20000200000022-2-200000000-2-222220000000000000-2000000000
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
χ2222222222-12222-1-1-1-1-1-1-122-1-1-1-122-2-2222-2-2-2-2-1-1-1-1111111110000000000-2-1-111-1-1110000000000
χ2322222222-12222-1-1-1-1-1-1-122-1-1-1-1-2-2222-2-2-2-2-2-2-1-1-1-1111111110000000000211-1-111-1-10000000000
χ2422222222-12222-1-1-1-1-1-1-122-1-1-1-1-2-2-2-22-2-22222-1-1-1-1-1-1-1-1-1-1-1-10000000000-2111111110000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-12222-2-2-222-2-21111-1-1-1-111110000000000-2-1-1-1-111110000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-122-2-2-2-2-2-2-22211111111-1-1-1-100000000002-1-11111-1-10000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-222-222-2-22211111111-1-1-1-10000000000-211-1-1-1-1110000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-2-22222-2-21111-1-1-1-11111000000000021111-1-1-1-10000000000
χ2922-2-222-2-2222-2-222-22-2-2-20022-2-22-20000000000000000000002-22-200000002-200000002-20000000
χ3022-2-222-2-2222-2-222-22-2-2-20022-2-22-2000000000000000000000-22-2200000002-20000000-220000000
χ3122-2-222-2-2222-2-222-22-2-2-20022-2-2-220000000000000000000002-22-20000000-220000000-220000000
χ3222-2-222-2-2222-2-222-22-2-2-20022-2-2-22000000000000000000000-22-220000000-2200000002-20000000
χ3322-2-222-2-22-2-22222-22-2-2-200-2-222000002i−2i00000000000000002-2-22002i2i−2i−2i000002i−2i000000000000
χ3422-2-222-2-22-2-22222-22-2-2-200-2-222000002i−2i0000000000000000-222-200−2i−2i2i2i000002i−2i000000000000
χ3522-2-222-2-22-2-22222-22-2-2-200-2-22200000−2i2i00000000000000002-2-2200−2i−2i2i2i00000−2i2i000000000000
χ3622-2-222-2-22-2-22222-22-2-2-200-2-22200000−2i2i0000000000000000-222-2002i2i−2i−2i00000−2i2i000000000000
χ372-22-22-22-222-22-2-2-222-2-22002-22-2002i−2i00000000000000000000000002-22-20002i−2i000000000002i−2i0
χ382-22-22-22-222-22-2-2-222-2-22002-22-2002i−2i0000000000000000000000000-22-220002i−2i00000000000−2i2i0
χ392-22-22-22-222-22-2-2-222-2-22002-22-200−2i2i00000000000000000000000002-22-2000−2i2i00000000000−2i2i0
χ402-22-22-22-222-22-2-2-222-2-22002-22-200−2i2i0000000000000000000000000-22-22000−2i2i000000000002i−2i0
χ412-2-222-2-222-222-2-2-2-2222-200-222-20000000002i−2i000000002i2i−2i−2i0000002i−2i−2i2i0000000000002-200000
χ422-2-222-2-222-222-2-2-2-2222-200-222-20000000002i−2i000000002i2i−2i−2i000000−2i2i2i−2i000000000000-2200000
χ432-2-222-2-222-222-2-2-2-2222-200-222-2000000000−2i2i00000000−2i−2i2i2i0000002i−2i−2i2i000000000000-2200000
χ442-2-222-2-222-222-2-2-2-2222-200-222-2000000000−2i2i00000000−2i−2i2i2i000000−2i2i2i−2i0000000000002-200000
χ4544444444-2-4-4-4-4-2-2-2-2-2-2-24422220000-400000022-2-20000000000000000000000000000000000000
χ4644444444-2-4-4-4-4-2-2-2-2-2-2-2-4-4222200004000000-2-2220000000000000000000000000000000000000
χ474444-4-4-4-4400004-44-4-44-4000000000000022−220000002222−22−22000000000000000000000000000000000
χ484444-4-4-4-4400004-44-4-44-40000000000000−2222000000−22−222222000000000000000000000000000000000
χ494444-4-4-4-4-20000-22-222-22000000000000022−220023−2300−2−2226−66−600000000000000000000000000000
χ504444-4-4-4-4-20000-22-222-22000000000000022−2200−232300−2−222−66−6600000000000000000000000000000
χ514444-4-4-4-4-20000-22-222-220000000000000−22220023−230022−2−2−66−6600000000000000000000000000000
χ524444-4-4-4-4-20000-22-222-220000000000000−222200−23230022−2−26−66−600000000000000000000000000000
χ5344-4-444-4-4-244-4-4-2-22-222200-2-2224-400000000000000000000000000000000-220000000000000000
χ5444-4-444-4-4-244-4-4-2-22-222200-2-222-44000000000000000000000000000000002-20000000000000000
χ5544-4-444-4-4-2-4-444-2-22-22220022-2-2000004i−4i0000000000000000000000000000000−2i2i000000000000
χ5644-4-444-4-4-2-4-444-2-22-22220022-2-200000−4i4i00000000000000000000000000000002i−2i000000000000
χ5744-4-4-4-444400004-4-4-44-440000000000000000000000000000000000000000000000000000022−22000
χ5844-4-4-4-444400004-4-4-44-4400000000000000000000000000000000000000000000000000000−2222000
χ594-44-44-44-44-44-44-4-444-4-4400-44-440000000000000000000000000000000000000000000000000000
χ604-44-44-44-4-24-44-422-2-222-200-22-22004i−4i00000000000000000000000000000000−2i2i00000000000000
χ614-44-44-44-4-24-44-422-2-222-200-22-2200−4i4i000000000000000000000000000000002i−2i00000000000000
χ624-44-44-44-4-2-44-4422-2-222-2002-22-20000000000000000000000000000000000000000−2i32i30000000000
χ634-44-44-44-4-2-44-4422-2-222-2002-22-200000000000000000000000000000000000000002i3−2i30000000000
χ644-44-4-44-4440000-444-44-4-40000000000000000000000000000000004i−4i00000000000000000000000
χ654-44-4-44-4440000-444-44-4-4000000000000000000000000000000000−4i4i00000000000000000000000
χ664-4-444-4-4444-4-44-4-4-4444-4004-4-440000000000000000000000000000000000000000000000000000
χ674-4-444-4-44-24-4-44222-2-2-2200-222-2000000000000000−2i32i3−2i32i3000000000000000000000000000000000
χ684-4-444-4-44-24-4-44222-2-2-2200-222-20000000000000002i3−2i32i3−2i3000000000000000000000000000000000
χ694-4-444-4-44-2-444-4222-2-2-22002-2-220000000004i−4i00000000−2i−2i2i2i00000000000000000000000000000
χ704-4-444-4-44-2-444-4222-2-2-22002-2-22000000000−4i4i000000002i2i−2i−2i00000000000000000000000000000
χ714-4-44-444-440000-44-4-4-4444-4000000000000000004-40000000000000000000000000000000000000
χ724-4-44-444-440000-44-4-4-444-4400000000000000000-440000000000000000000000000000000000000
χ734-4-44-444-4-200002-2222-2-24-400000000000000000-22i6−i6−i6i6i6−i6−i6i600000000000000000000000000000
χ744-4-44-444-4-200002-2222-2-24-400000000000000000-22−i6i6i6−i6−i6i6i6−i600000000000000000000000000000
χ754-4-44-444-4-200002-2222-2-2-44000000000000000002-2i6−i6−i6i6−i6i6i6−i600000000000000000000000000000
χ764-4-44-444-4-200002-2222-2-2-44000000000000000002-2−i6i6i6−i6i6−i6−i6i600000000000000000000000000000
χ7788-8-8-8-888-40000-4444-44-40000000000000000000000000000000000000000000000000000000000
χ788-88-8-88-88-400004-4-44-4440000000000000000000000000000000000000000000000000000000000

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