Finite Group Databasebeta

← Group #10849344

Character table — Group #10849344

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111222222222222444444888888888888888888888881212121212121212121216161616161616161624242424242424242448
order122222223444466666664412121212444444488881212121224242424242424244444444444412121212121212122244488884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-1111-1-1-1-11
χ41111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1-11111-1
χ511111111111111111111111111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1111111-1-11-1-1-1-1-1
χ611111111111111111111111111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111111
χ711111111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1
χ811111111111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-11
χ911111111111111111111-1-111111111-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1111111-111-1-111-1-1-1-111-111-1-1-1
χ1011111111111111111111-1-111111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-111-1-111-1-11-1-1111
χ1111111111111111111111-1-1111111-1-111-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-111-1-1-1-1111111-1-1-111-1
χ1211111111111111111111-1-1111111-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111-111-1-1-1-111-1-1-1-1111-1-11
χ1311111111111111111111-1-11111-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111111-1-11111-1-1-1-1-1-1-1-1-1111
χ1411111111111111111111-1-11111-1-111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-11111-1-11111111-1-1-1
χ1511111111111111111111-1-11111-1-1-1-111-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11-1-111-1-11111-1-1-111-1-11
χ1611111111111111111111-1-11111-1-1-1-111-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111-1-111-1-111-1-1111-1-111-1
χ17222222222-2-2-2-2222222222-2-2-2-2000000-20000-2-222000000002222-2-200000000000000000-200000
χ18222222222-2-2-2-2222222222-2-2-2-2000000-20000-2-22200000000-2-2-2-22200000000000000000200000
χ19222222222-2-2-2-22222222-2-2-2-2-2-20000002000022-2-20000000022-2-2-2-200000000000000000200000
χ20222222222-2-2-2-22222222-2-2-2-2-2-20000002000022-2-200000000-2-2222200000000000000000-200000
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
χ2222222222-12222-1-1-1-1-1-1-122-1-1-1-122-2-2-2-22-2-2-2-2-1-1-1-11111111100000000002-1-1-1-111110000000000
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
χ2422222222-12222-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-222222-1-1-1-1-1-1-1-1-1-1-1-10000000000-2111111110000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-12222-2-2-222-2-21111-1-1-1-111110000000000-2-1-111-1-1110000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-122-2-222-2-2-22211111111-1-1-1-10000000000-2-1-11111-1-10000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-222-2-2-2-2-22211111111-1-1-1-10000000000211-1-1-1-1110000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-222-222-2-21111-1-1-1-111110000000000211-1-111-1-10000000000
χ2922-222-2-2-22-22-222-2-2-22-2200-2-2222-20000000000000000000000000002i2i−2i−2i02-2000000000002i−2i000
χ3022-222-2-2-22-22-222-2-2-22-2200-2-2222-2000000000000000000000000000−2i−2i2i2i02-200000000000−2i2i000
χ3122-222-2-2-22-22-222-2-2-22-2200-2-222-220000000000000000000000000002i2i−2i−2i0-2200000000000−2i2i000
χ3222-222-2-2-22-22-222-2-2-22-2200-2-222-22000000000000000000000000000−2i−2i2i2i0-22000000000002i−2i000
χ332-22-222-2-22-2-222-222-2-2-22002-22-200000002i−2i0000002i2i−2i−2i00000000002i−2i2i−2i000000000002-2000000
χ342-22-222-2-22-2-222-222-2-2-22002-22-200000002i−2i0000002i2i−2i−2i0000000000−2i2i−2i2i00000000000-22000000
χ352-22-222-2-22-2-222-222-2-2-22002-22-20000000−2i2i000000−2i−2i2i2i00000000002i−2i2i−2i00000000000-22000000
χ362-22-222-2-22-2-222-222-2-2-22002-22-20000000−2i2i000000−2i−2i2i2i0000000000−2i2i−2i2i000000000002-2000000
χ372-2-2-22-22222-2-22-2-2-22-22200-222-2002-200000000000000000002-2002-22-2-22000002-2000000000000
χ382-2-2-22-22222-2-22-2-2-22-22200-222-2002-20000000000000000000-2200-22-222-2000002-2000000000000
χ392-2-2-22-22222-2-22-2-2-22-22200-222-200-2200000000000000000002-2002-2-222-200000-22000000000000
χ402-2-2-22-22222-2-22-2-2-22-22200-222-200-220000000000000000000-2200-222-2-2200000-22000000000000
χ412-2-2-22-2222-222-2-2-2-22-222002-2-2200002-2000000000000000002-200-22000000000002-22-200000000
χ422-2-2-22-2222-222-2-2-2-22-222002-2-2200002-200000000000000000-22002-2000000000002-2-2200000000
χ432-2-2-22-2222-222-2-2-2-22-222002-2-220000-22000000000000000002-200-2200000000000-22-2200000000
χ442-2-2-22-2222-222-2-2-2-22-222002-2-220000-2200000000000000000-22002-200000000000-222-200000000
χ4544444444-2-4-4-4-4-2-2-2-2-2-2-2442222000000-4000022-2-20000000000000000000000000000000000000
χ4644444444-2-4-4-4-4-2-2-2-2-2-2-2-4-4222200000040000-2-2220000000000000000000000000000000000000
χ47444-4-4-4-444000044-4-4-44-400000000000000000000000000000004i−4i0000000000000000000000000
χ48444-4-4-4-444000044-4-4-44-40000000000000000000000000000000−4i4i0000000000000000000000000
χ4944-444-4-4-444-44-44-4-4-44-440044-4-40000000000000000000000000000000000000000000000000000
χ5044-444-4-4-4-24-44-4-2222-22-200-2-22200000000000000000000000000000000000023−2300000000000000
χ5144-444-4-4-4-24-44-4-2222-22-200-2-222000000000000000000000000000000000000−232300000000000000
χ5244-444-4-4-4-2-44-44-2222-22-20022-2-24-400000000000000000000000000000000-220000000000000000
χ5344-444-4-4-4-2-44-44-2222-22-20022-2-2-44000000000000000000000000000000002-20000000000000000
χ5444-4-4-444-4400004-444-4-4-400000000000000022−22000000002222−22−2200000000000000000000000000000
χ5544-4-4-444-4400004-444-4-4-4000000000000000−222200000000−22−22222200000000000000000000000000000
χ5644-4-4-444-4-20000-22-2-222200000000000000022−22−2i32i300i6−i6i6−i6−2−22200000000000000000000000000000
χ5744-4-4-444-4-20000-22-2-222200000000000000022−222i3−2i300−i6i6−i6i6−2−22200000000000000000000000000000
χ5844-4-4-444-4-20000-22-2-2222000000000000000−2222−2i32i300−i6i6−i6i622−2−200000000000000000000000000000
χ5944-4-4-444-4-20000-22-2-2222000000000000000−22222i3−2i300i6−i6i6−i622−2−200000000000000000000000000000
χ604-444-4-44-440000-44-444-4-4000000000000000000000000000000000000000000000000000000022−220
χ614-444-4-44-440000-44-444-4-40000000000000000000000000000000000000000000000000000000−22220
χ624-44-444-4-4444-4-4-444-4-4-4400-44-440000000000000000000000000000000000000000000000000000
χ634-44-444-4-4-244-4-42-2-2222-2002-22-2000000000000000000023−2323−2300000000000000000000000000000
χ644-44-444-4-4-244-4-42-2-2222-2002-22-20000000000000000000−2323−232300000000000000000000000000000
χ654-44-444-4-4-2-4-4442-2-2222-200-22-2200000004i−4i000000−2i−2i2i2i000000000000000000000000000000000
χ664-44-444-4-4-2-4-4442-2-2222-200-22-220000000−4i4i0000002i2i−2i−2i000000000000000000000000000000000
χ674-4-44-44-4440000-4-44-444-44-4000000000000000004-40000000000000000000000000000000000000
χ684-4-44-44-4440000-4-44-444-4-4400000000000000000-440000000000000000000000000000000000000
χ694-4-44-44-44-2000022-22-2-224-400000000000000000-226−6−666−6−6600000000000000000000000000000
χ704-4-44-44-44-2000022-22-2-224-400000000000000000-22−666−6−666−600000000000000000000000000000
χ714-4-44-44-44-2000022-22-2-22-44000000000000000002-26−6−66−666−600000000000000000000000000000
χ724-4-44-44-44-2000022-22-2-22-44000000000000000002-2−666−66−6−6600000000000000000000000000000
χ734-4-4-44-444-24-4-44222-22-2-2002-2-22004-40000000000000000000000000000000000-22000000000000
χ744-4-4-44-444-24-4-44222-22-2-2002-2-2200-4400000000000000000000000000000000002-2000000000000
χ754-4-4-44-444-2-444-4222-22-2-200-222-200004-40000000000000000000000000000000000-220000000000
χ764-4-4-44-444-2-444-4222-22-2-200-222-20000-4400000000000000000000000000000000002-20000000000
χ77888-8-8-8-88-40000-4-4444-440000000000000000000000000000000000000000000000000000000000
χ788-888-8-88-8-400004-44-4-4440000000000000000000000000000000000000000000000000000000000

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