Finite Group Databasebeta

← Group #10829223

Character table — Group #10829223

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111222222222222444444888888888888888888888881212121212121212121216161616161616161624242424242424242448
order12222222344446666666221212121222444446688881212242424242424242422444444444661212121212122244488884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-11111-1-1-1-1-1-1111-1-1-1-1-1
χ411111111111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-111111
χ511111111111111111111111111-1-1111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-11
χ611111111111111111111111111-1-1111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1111111-1
χ711111111111111111111111111-1-11-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1
χ811111111111111111111111111-1-11-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-1-1-11
χ911111111111111111111-1-1111111-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111-1-1111
χ1011111111111111111111-1-1111111-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111111-111-1-111-1-111-1-1-111-1-1-1
χ1111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1
χ1211111111111111111111-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111111111111-1-1-1-111-1-1-1-1-1-1-1111
χ1311111111111111111111-1-11111-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-11111-1-1-1-11-1-111-1-11
χ1411111111111111111111-1-11111-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-11111-1-111-111-1-111-1
χ1511111111111111111111-1-11111-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111-1-111-1-111111-1-1-1-111-1
χ1611111111111111111111-1-11111-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-1-111-1-111-1-1-11111-1-11
χ17222222222-2-2-2-2222222222-2-2-2-200-20000220000-2-20000000022-2-222000000000000000-20000000
χ18222222222-2-2-2-2222222222-2-2-2-200-20000220000-2-200000000-2-222-2-200000000000000020000000
χ19222222222-2-2-2-22222222-2-2-2-2-2-20020000-2-2000022000000002222-2-2000000000000000-20000000
χ20222222222-2-2-2-22222222-2-2-2-2-2-20020000-2-200002200000000-2-2-2-22200000000000000020000000
χ2122222222-12222-1-1-1-1-1-1-122-1-1-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-100000000002-1-1-1-1-1-1-1-10000000000
χ2222222222-12222-1-1-1-1-1-1-122-1-1-1-1222-2-222-1-1-2-2-2-2-1-1111111110000000000-2-1-1-1-111110000000000
χ2322222222-12222-1-1-1-1-1-1-122-1-1-1-1-2-2222-2-2-1-1-2-2-2-2-1-111111111000000000021111-1-1-1-10000000000
χ2422222222-12222-1-1-1-1-1-1-122-1-1-1-1-2-22-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-10000000000-2111111110000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-122-222-2-21122-2-211-1-1-1-111110000000000-2-1-111-1-1110000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-122-2-2-2-2-211-2-222111111-1-1-1-100000000002-1-11111-1-10000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2222211-2-222111111-1-1-1-10000000000-211-1-1-1-1110000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-2-2221122-2-211-1-1-1-111110000000000211-1-111-1-10000000000
χ29222-22-2-2-22-2-22222-22-2-2-2002-22-20002i−2i0000000000000000000000002i2i−2i−2i000002i−2i00000002-2000
χ30222-22-2-2-22-2-22222-22-2-2-2002-22-20002i−2i000000000000000000000000−2i−2i2i2i000002i−2i0000000-22000
χ31222-22-2-2-22-2-22222-22-2-2-2002-22-2000−2i2i0000000000000000000000002i2i−2i−2i00000−2i2i0000000-22000
χ32222-22-2-2-22-2-22222-22-2-2-2002-22-2000−2i2i000000000000000000000000−2i−2i2i2i00000−2i2i00000002-2000
χ332-2-222-22-222-22-2-2-2222-2-20022-2-20000000002i−2i00002i2i−2i−2i00000000002i−2i2i−2i0000000002-200000000
χ342-2-222-22-222-22-2-2-2222-2-20022-2-20000000002i−2i00002i2i−2i−2i0000000000−2i2i−2i2i000000000-2200000000
χ352-2-222-22-222-22-2-2-2222-2-20022-2-2000000000−2i2i0000−2i−2i2i2i00000000002i−2i2i−2i000000000-2200000000
χ362-2-222-22-222-22-2-2-2222-2-20022-2-2000000000−2i2i0000−2i−2i2i2i0000000000−2i2i−2i2i0000000002-200000000
χ372-2-2-222-2222-2-22-2-2-22-22200-222-2000002-20000000000000000002-22-200000002-200000002-200000
χ382-2-2-222-2222-2-22-2-2-22-22200-222-2000002-2000000000000000000-22-2200000002-20000000-2200000
χ392-2-2-222-2222-2-22-2-2-22-22200-222-200000-220000000000000000002-22-20000000-220000000-2200000
χ402-2-2-222-2222-2-22-2-2-22-22200-222-200000-22000000000000000000-22-220000000-2200000002-200000
χ412-2-2-222-222-222-2-2-2-22-222002-2-222-2000000000000000000000002-2-222-2-2202-20000000000000000
χ422-2-2-222-222-222-2-2-2-22-222002-2-222-200000000000000000000000-222-2-222-202-20000000000000000
χ432-2-2-222-222-222-2-2-2-22-222002-2-22-22000000000000000000000002-2-22-222-20-220000000000000000
χ442-2-2-222-222-222-2-2-2-22-222002-2-22-2200000000000000000000000-222-22-2-220-220000000000000000
χ4544444444-2-4-4-4-4-2-2-2-2-2-2-244222200-40000-2-20000220000000000000000000000000000000000000
χ4644444444-2-4-4-4-4-2-2-2-2-2-2-2-4-422220040000220000-2-20000000000000000000000000000000000000
χ47444-44-4-4-4444-4-444-44-4-4-400-44-440000000000000000000000000000000000000000000000000000
χ48444-44-4-4-4-244-4-4-2-22-2222002-22-2000000000000000000000000000000000000000023−230000000000
χ49444-44-4-4-4-244-4-4-2-22-2222002-22-20000000000000000000000000000000000000000−23230000000000
χ50444-44-4-4-4-2-4-444-2-22-222200-22-220004i−4i000000000000000000000000000000000−2i2i000000000000
χ51444-44-4-4-4-2-4-444-2-22-222200-22-22000−4i4i0000000000000000000000000000000002i−2i000000000000
χ5244-44-44-4-4400004-4-4-444-40000000000000000000000000000000000000000000000000000000−2i22i20
χ5344-44-44-4-4400004-4-4-444-400000000000000000000000000000000000000000000000000000002i2−2i20
χ5444-4-4-4-444400004-44-4-4-444-4000000000004-40000000000000000000000000000000000000000000
χ5544-4-4-4-444400004-44-4-4-44-4400000000000-440000000000000000000000000000000000000000000
χ5644-4-4-4-444-20000-22-2222-24-400000000000-220000006−66−666−6−600000000000000000000000000000
χ5744-4-4-4-444-20000-22-2222-24-400000000000-22000000−66−66−6−66600000000000000000000000000000
χ5844-4-4-4-444-20000-22-2222-2-44000000000002-20000006−66−6−6−66600000000000000000000000000000
χ5944-4-4-4-444-20000-22-2222-2-44000000000002-2000000−66−6666−6−600000000000000000000000000000
χ604-444-4-4-4440000-44-4-44-44000000000000000000000000000004-4000000000000000000000000000
χ614-444-4-4-4440000-44-4-44-4400000000000000000000000000000-44000000000000000000000000000
χ624-44-4-444-440000-444-4-44-400000000000000000−2i22i2000000−2i22i2−2i22i200000000000000000000000000000
χ634-44-4-444-440000-444-4-44-4000000000000000002i2−2i20000002i2−2i22i2−2i200000000000000000000000000000
χ644-44-4-444-4-200002-2-222-2200000000000000000−2i22i223−23i6−i6−i6i6i2−i2i2−i200000000000000000000000000000
χ654-44-4-444-4-200002-2-222-2200000000000000000−2i22i2−2323−i6i6i6−i6i2−i2i2−i200000000000000000000000000000
χ664-44-4-444-4-200002-2-222-22000000000000000002i2−2i223−23−i6i6i6−i6−i2i2−i2i200000000000000000000000000000
χ674-44-4-444-4-200002-2-222-22000000000000000002i2−2i2−2323i6−i6−i6i6−i2i2−i2i200000000000000000000000000000
χ684-4-444-44-44-44-44-4-4444-4-400-4-4440000000000000000000000000000000000000000000000000000
χ694-4-444-44-4-24-44-422-2-2-22200-2-2220000000004i−4i0000−2i−2i2i2i000000000000000000000000000000000
χ704-4-444-44-4-24-44-422-2-2-22200-2-222000000000−4i4i00002i2i−2i−2i000000000000000000000000000000000
χ714-4-444-44-4-2-44-4422-2-2-2220022-2-20000000000000000000−2i32i32i3−2i300000000000000000000000000000
χ724-4-444-44-4-2-44-4422-2-2-2220022-2-200000000000000000002i3−2i3−2i32i300000000000000000000000000000
χ734-4-4-444-44-24-4-44222-22-2-2002-2-22000004-400000000000000000000000000000-2200000000000000
χ744-4-4-444-44-24-4-44222-22-2-2002-2-2200000-44000000000000000000000000000002-200000000000000
χ754-4-4-444-44-2-444-4222-22-2-200-222-24-400000000000000000000000000000000-220000000000000000
χ764-4-4-444-44-2-444-4222-22-2-200-222-2-44000000000000000000000000000000002-20000000000000000
χ7788-88-88-8-8-40000-4444-4-440000000000000000000000000000000000000000000000000000000000
χ788-888-8-8-88-400004-444-44-40000000000000000000000000000000000000000000000000000000000

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