Finite Group Databasebeta

← Group #11868676

Character table — Group #11868676

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444444444888888888888888888888818181818181824242424242424242424242424242424363636363648484848
order12223344446666662234446661212121212121212121212126666666612121212121212121212121212122244444444888824242424242424242244412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-11-111-1-11111-1-1-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-11-11-1-111-1-1-1-11111-1-1-1-1-1-11-11
χ51111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111
χ61111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111111111-1-11-1-1-1-1-1-1
χ71111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-1111111-1111-11-1
χ81111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-111-111-11-11
χ91111111-1-11111111111-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-11-1-111-11-111-1-111-1-111-1-1-11-1-11
χ101111111-1-11111111111-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-111-1-11-11-1-111-1-11111-1-1-1-111-1
χ111111111-1-11111111111-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1111-1-1-1-111-1-111111-1-1
χ121111111-1-11111111111-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-111-1-1-11111-1-1-1-1111-1-111
χ131111111-1-11111111-1-11-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-11-1-11-11-11-1-111-1-111-1-1-1111-1-11
χ141111111-1-11111111-1-11-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-111-11-11-111-1-111-1-1-1-1-111-111-1
χ151111111-1-11111111-1-11-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-111-1-1-11111-1-1111-1-111-1-1
χ161111111-1-11111111-1-11-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1111-1-1111-1-1-1-111111-1-1-1-111
χ17222222-222-2222222002-200222-2-222222222-2-200000000-2-20000-2-2-2-2000022-2-222000000000000000000-2000000
χ18222222-222-2222222002-200222-2-222222222-2-200000000-2-20000-2-2-2-20000-2-222-2-20000000000000000002000000
χ19222222-2-2-2-2222222002200222-2-2-2-2-2-2-2-2-2-2-2-200000000220000-2-222000022-2-2-2-20000000000000000002000000
χ20222222-2-2-2-2222222002200222-2-2-2-2-2-2-2-2-2-2-2-200000000220000-2-2220000-2-22222000000000000000000-2000000
χ2122222-122222-12-12-122-1222-1-1-12-122-1-1-1-1-1-12-122-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1000000020200220000-1-1-1-1000000-10-1
χ2222222-122222-12-12-122-1222-1-1-12-122-1-1-1-1-1-12-122-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-10000000-20-200-2-200001111000000101
χ2322222-122222-12-12-1-2-2-12-2-2-1-1-12-122-1-1-1-1-1-12-1-2-21111112-1-2-211-1-1-1-11111000000020200-2-200001111000000-10-1
χ2422222-122222-12-12-1-2-2-12-2-2-1-1-12-122-1-1-1-1-1-12-1-2-21111112-1-2-211-1-1-1-111110000000-20-200220000-1-1-1-1000000101
χ2522222-12-2-222-12-12-122-1-2-2-2-1-1-12-1-2-21111112-122-1-1-1-1-1-1-21-2-211-1-1111111000000020-200-22000011-1-1000000-101
χ2622222-12-2-222-12-12-122-1-2-2-2-1-1-12-1-2-21111112-122-1-1-1-1-1-1-21-2-211-1-11111110000000-202002-20000-1-11100000010-1
χ2722222-12-2-222-12-12-1-2-2-1-222-1-1-12-1-2-21111112-1-2-2111111-2122-1-1-1-111-1-1-1-1000000020-2002-20000-1-111000000-101
χ2822222-12-2-222-12-12-1-2-2-1-222-1-1-12-1-2-21111112-1-2-2111111-2122-1-1-1-111-1-1-1-10000000-20200-22000011-1-100000010-1
χ292222-122222-12-12-1222-1222-1-1-1-12-1-122-1-1-1-1-12-1-122-1-1-1-1-12-1-122-1-1-1-1-1-1-1-100000020202200-1-1-1-1000000000-10-10
χ302222-122222-12-12-1222-1222-1-1-1-12-1-122-1-1-1-1-12-1-122-1-1-1-1-12-1-122-1-1-1-1-1-1-1-1000000-20-20-2-20011110000000001010
χ312222-122222-12-12-12-2-2-12-2-2-1-1-1-12-1-122-1-1-1-1-1211-2-21111-1211-2-2-1-1-1-111110000002020-2-2001111000000000-10-10
χ322222-122222-12-12-12-2-2-12-2-2-1-1-1-12-1-122-1-1-1-1-1211-2-21111-1211-2-2-1-1-1-11111000000-20-202200-1-1-1-10000000001010
χ332222-122-2-22-12-12-1222-1-2-2-2-1-1-1-1211-2-21111-12-1-122-1-1-1-11-211-2-2-1-111111100000020-202-200-1-111000000000-1010
χ342222-122-2-22-12-12-1222-1-2-2-2-1-1-1-1211-2-21111-12-1-122-1-1-1-11-211-2-2-1-1111111000000-2020-220011-1-100000000010-10
χ352222-122-2-22-12-12-12-2-2-1-222-1-1-1-1211-2-21111-1211-2-211111-2-1-122-1-111-1-1-1-100000020-20-220011-1-1000000000-1010
χ362222-122-2-22-12-12-12-2-2-1-222-1-1-1-1211-2-21111-1211-2-211111-2-1-122-1-111-1-1-1-1000000-20202-200-1-11100000000010-10
χ3722-2-222200-222-2-2-2-22-220002-2-22200000000-2-22-22-222-2-20000002-20000002-22-20000000000000000002-20000000
χ3822-2-222200-222-2-2-2-22-220002-2-22200000000-2-22-22-222-2-20000002-2000000-22-22000000000000000000-220000000
χ3922-2-222200-222-2-2-2-2-2220002-2-22200000000-2-2-22-22-2-2220000002-20000002-22-2000000000000000000-220000000
χ4022-2-222200-222-2-2-2-2-2220002-2-22200000000-2-2-22-22-2-2220000002-2000000-22-220000000000000000002-20000000
χ4122-2-222-200222-2-2-2-200202i−2i2-2-2-2-2000000002200000000002i−2i2i−2i-22002i2i−2i−2i2-2-220000000000000000000002i−2i0000
χ4222-2-222-200222-2-2-2-200202i−2i2-2-2-2-2000000002200000000002i−2i2i−2i-22002i2i−2i−2i-222-2000000000000000000000−2i2i0000
χ4322-2-222-200222-2-2-2-20020−2i2i2-2-2-2-200000000220000000000−2i2i−2i2i-2200−2i−2i2i2i2-2-22000000000000000000000−2i2i0000
χ4422-2-222-200222-2-2-2-20020−2i2i2-2-2-2-200000000220000000000−2i2i−2i2i-2200−2i−2i2i2i-222-20000000000000000000002i−2i0000
χ4544444-2-444-44-24-24-200-2-400-2-2-2-4244-2-2-2-2-2-2-4200000000-420000222200000000000000000000000000000000000
χ4644444-2-4-4-4-44-24-24-200-2400-2-2-2-42-4-4222222-42000000004-2000022-2-200000000000000000000000000000000000
χ474444-24-444-4-24-24-2400-2-400-2-2-22-4-2-244-2-2-2-22-4000000002-40000222200000000000000000000000000000000000
χ484444-24-4-4-4-4-24-24-2400-2400-2-2-22-422-4-422222-400000000-24000022-2-200000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-2441444111-2-2-2-2-2-21111-2-2-2-2-2-21111-2-2-2-2-2-2111111110000000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-2-4-414-4-4111-2-2-2-2-2-21111-2-22222-1-1-1-1-2-222221111-1-1-1-10000000000000000000000000000000
χ514444-2-24-4-44-2-2-2-2-2-2441-4-4-4111-2-22222-1-1-1-1-2-2-2-2-2-2111122222211-1-1-1-1-1-10000000000000000000000000000000
χ524444-2-24-4-44-2-2-2-2-2-2-4-41-444111-2-22222-1-1-1-1-2-22222-1-1-1-122-2-2-2-211-1-111110000000000000000000000000000000
χ534444-2-2-444-4-2-2-2-2-2-2001-40011122-2-2-2-211112200003-33-3220000-1-1-1-13-33-30000000000000000000000000000000
χ544444-2-2-444-4-2-2-2-2-2-2001-40011122-2-2-2-21111220000-33-33220000-1-1-1-1-33-330000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-2001400111222222-1-1-1-12200003-33-3-2-20000-1-111-33-330000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-2001400111222222-1-1-1-1220000-33-33-2-20000-1-1113-33-30000000000000000000000000000000
χ5744-4-44-2400-44-2-42-424-4-2000-2224-200000000-424-4-22-2-222000000-220000000000000000000000000000000000000
χ5844-4-44-2400-44-2-42-42-44-2000-2224-200000000-42-442-222-2-2000000-220000000000000000000000000000000000000
χ5944-4-44-2-40044-2-42-4200-204i−4i-222-42000000004-200000000004i−4i−2i2i2-200−2i−2i2i2i0000000000000000000000000000000
χ6044-4-44-2-40044-2-42-4200-20−4i4i-222-42000000004-20000000000−4i4i2i−2i2-2002i2i−2i−2i0000000000000000000000000000000
χ6144-4-4-24400-4-242-42-44-4-2000-222-24000000002-4-224-4-2-222000000-220000000000000000000000000000000000000
χ6244-4-4-24400-4-242-42-4-44-2000-222-24000000002-42-2-4422-2-2000000-220000000000000000000000000000000000000
χ6344-4-4-24-4004-242-42-400-204i−4i-2222-400000000-240000000000−2i2i4i−4i2-200−2i−2i2i2i0000000000000000000000000000000
χ6444-4-4-24-4004-242-42-400-20−4i4i-2222-400000000-2400000000002i−2i−4i4i2-2002i2i−2i−2i0000000000000000000000000000000
χ6544-4-4-2-2400-4-2-222224-410001-1-1-2-200003i3i−3i−3i22-22-2211-1-10000001-13i−3i3i−3i−3i3i0000000000000000000000000000000
χ6644-4-4-2-2400-4-2-222224-410001-1-1-2-20000−3i−3i3i3i22-22-2211-1-10000001-1−3i3i−3i3i3i−3i0000000000000000000000000000000
χ6744-4-4-2-2400-4-2-22222-4410001-1-1-2-200003i3i−3i−3i222-22-2-1-1110000001-13i−3i−3i3i3i−3i0000000000000000000000000000000
χ6844-4-4-2-2400-4-2-22222-4410001-1-1-2-20000−3i−3i3i3i222-22-2-1-1110000001-1−3i3i3i−3i−3i3i0000000000000000000000000000000
χ6944-4-4-2-2-4004-2-2222200104i−4i1-1-12200003i3i−3i−3i-2-200003-3-3300−2i2i−2i2i-11−3i3iii−i−i0000000000000000000000000000000
χ7044-4-4-2-2-4004-2-2222200104i−4i1-1-1220000−3i−3i3i3i-2-20000-333-300−2i2i−2i2i-113i−3iii−i−i0000000000000000000000000000000
χ7144-4-4-2-2-4004-2-222220010−4i4i1-1-12200003i3i−3i−3i-2-20000-333-3002i−2i2i−2i-11−3i3i−i−iii0000000000000000000000000000000
χ7244-4-4-2-2-4004-2-222220010−4i4i1-1-1220000−3i−3i3i3i-2-200003-3-33002i−2i2i−2i-113i−3i−i−iii0000000000000000000000000000000
χ734-44-44404i−4i0-4-444-4-4004000-44-4004i−4i4i−4i4i−4i4i−4i0000000000000000000000000000000000000000000000000000000
χ744-44-4440−4i4i0-4-444-4-4004000-44-400−4i4i−4i4i−4i4i−4i4i0000000000000000000000000000000000000000000000000000000
χ754-44-44-204i−4i0-424-2-4200-20002-22004i−4i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000006−6i6−i6000000000
χ764-44-44-204i−4i0-424-2-4200-20002-22004i−4i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000−66−i6i6000000000
χ774-44-44-20−4i4i0-424-2-4200-20002-2200−4i4i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000006−6−i6i6000000000
χ784-44-44-20−4i4i0-424-2-4200-20002-2200−4i4i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000−66i6−i6000000000
χ794-44-4-2404i−4i02-4-242-400-20002-2200−2i2i4i−4i−2i2i−2i2i00000000000000000000000000000000000000i6−i66−60000000000000
χ804-44-4-2404i−4i02-4-242-400-20002-2200−2i2i4i−4i−2i2i−2i2i00000000000000000000000000000000000000−i6i6−660000000000000
χ814-44-4-240−4i4i02-4-242-400-20002-22002i−2i−4i4i2i−2i2i−2i00000000000000000000000000000000000000i6−i6−660000000000000
χ824-44-4-240−4i4i02-4-242-400-20002-22002i−2i−4i4i2i−2i2i−2i00000000000000000000000000000000000000−i6i66−60000000000000
χ834-4-44440000-4-4-4-444004000-4-44000000000000000000000000000000000000004-40000000000000000000000000
χ844-4-44440000-4-4-4-444004000-4-4400000000000000000000000000000000000000-440000000000000000000000000
χ858-88-8-4-408i−8i044-4-444002000-22-200−4i4i−4i4i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000
χ868-88-8-4-40−8i8i044-4-444002000-22-2004i−4i4i−4i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000
χ878-8-888-40000-84-848-400-400044-400000000000000000000000000000000000000000000000000000000000000000
χ888-8-88-4800004-84-8-4800-400044-400000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400004444-4-4002000-2-220000006-6-660000000000000000000000000000000000000000000000000000000
χ908-8-88-4-400004444-4-4002000-2-22000000-666-60000000000000000000000000000000000000000000000000000000

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