Finite Group Databasebeta

← Group #11871280

Character table — Group #11871280

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444444444888888888888888888888818181818181824242424242424242424242424242424363636363648484848
order122233444466666622344466612121212121212121212121266666666121212121212121212121212121222444422448888242424242424242422444661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-111
χ51111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111
χ61111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1111111-1-1-1-1111111111111-1-11-1-1-1-1-1-1
χ71111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-11111-1-1
χ81111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-111-1-111
χ9111111-1-111111111111-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11-11-11-11-111-1-111-1-1111-1-11-11-1
χ10111111-1-111111111111-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11-11-11-11-1-111-1-111111-1-1-11-11
χ11111111-1-111111111111-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-111-1-1111-1-1-1-111-1-1-1111-1-11
χ12111111-1-111111111111-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-111-1-1-11111-1-1-1-1-111-111-1
χ13111111-1-111111111-1-11-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-111-1-1111111-1-1-1-11-11-1-11-11-1-111-1-111-1-11111-11-1
χ14111111-1-111111111-1-11-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-111-1-1111111-1-1-1-1-11-111-11-111-1-111-1-1-1-1111-11-11
χ15111111-1-111111111-1-11-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-111-1-11111-1-111111-1-11-111-1-1-11111-1-111-1-1-11-1-11
χ16111111-1-111111111-1-11-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-111-1-11111-1-11111-111-11-1-1111-1-1-1-11111-1-1-1-111-1
χ1722222222-2-2222222002-200222-2-222222222-2-200000000-20000-2-2-2-2-2000022-2-222000000000000000000-2000000
χ1822222222-2-2222222002-200222-2-222222222-2-200000000-20000-2-2-2-2-20000-2-222-2-20000000000000000002000000
χ19222222-2-2-2-2222222002200222-2-2-2-2-2-2-2-2-2-2-2-200000000200002-2-22200002222-2-2000000000000000000-2000000
χ20222222-2-2-2-2222222002200222-2-2-2-2-2-2-2-2-2-2-2-200000000200002-2-2220000-2-2-2-2220000000000000000002000000
χ2122222-122222-1-12-1222-1222-1-1-12-122-1-1-1-1-1-12-122-1-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-100000022002200-1-1-1-1000000000-1-100
χ2222222-122222-1-12-1222-1222-1-1-12-122-1-1-1-1-1-12-122-1-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-1000000-2-200-2-20011110000000001100
χ2322222-122222-1-12-12-2-2-12-2-2-1-1-12-122-1-1-1-1-1-12-1-2-2111111-1-2-2112-1-1-1-111110000002200-2-2001111000000000-1-100
χ2422222-122222-1-12-12-2-2-12-2-2-1-1-12-122-1-1-1-1-1-12-1-2-2111111-1-2-2112-1-1-1-11111000000-2-2002200-1-1-1-10000000001100
χ2522222-1-2-2222-1-12-1222-1-2-2-2-1-1-12-1-2-21111112-122-1-1-1-1-1-11-2-211-2-1-11111110000002-2002-200-1-111000000000-1100
χ2622222-1-2-2222-1-12-1222-1-2-2-2-1-1-12-1-2-21111112-122-1-1-1-1-1-11-2-211-2-1-1111111000000-2200-220011-1-10000000001-100
χ2722222-1-2-2222-1-12-12-2-2-1-222-1-1-12-1-2-21111112-1-2-2111111122-1-1-2-1-111-1-1-1-10000002-200-220011-1-1000000000-1100
χ2822222-1-2-2222-1-12-12-2-2-1-222-1-1-12-1-2-21111112-1-2-2111111122-1-1-2-1-111-1-1-1-1000000-22002-200-1-1110000000001-100
χ292222-122222-122-12-122-1222-1-1-1-12-1-122-1-1-1-1-12-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-1-1000000002200220000-1-1-1-10000000-1-1
χ302222-122222-122-12-122-1222-1-1-1-12-1-122-1-1-1-1-12-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-1-100000000-2-200-2-200001111000000011
χ312222-122222-122-12-1-2-2-12-2-2-1-1-1-12-1-122-1-1-1-1-1211-2-21111211-2-2-1-1-1-1-11111000000002200-2-2000011110000000-1-1
χ322222-122222-122-12-1-2-2-12-2-2-1-1-1-12-1-122-1-1-1-1-1211-2-21111211-2-2-1-1-1-1-1111100000000-2-200220000-1-1-1-1000000011
χ332222-12-2-222-122-12-122-1-2-2-2-1-1-1-1211-2-21111-12-1-122-1-1-1-1-211-2-21-1-1111111000000002-2002-20000-1-1110000000-11
χ342222-12-2-222-122-12-122-1-2-2-2-1-1-1-1211-2-21111-12-1-122-1-1-1-1-211-2-21-1-111111100000000-2200-22000011-1-100000001-1
χ352222-12-2-222-122-12-1-2-2-1-222-1-1-1-1211-2-21111-1211-2-21111-2-1-1221-1-111-1-1-1-1000000002-200-22000011-1-10000000-11
χ362222-12-2-222-122-12-1-2-2-1-222-1-1-1-1211-2-21111-1211-2-21111-2-1-1221-1-111-1-1-1-100000000-22002-20000-1-11100000001-1
χ3722-2-222002-222-2-2-2-200202i−2i2-2-2-22000000002-20000000002i−2i2i−2i02-2002i2i−2i−2i002i−2i2i−2i00000000000000002-20000000
χ3822-2-222002-222-2-2-2-200202i−2i2-2-2-22000000002-20000000002i−2i2i−2i02-2002i2i−2i−2i00−2i2i−2i2i0000000000000000-220000000
χ3922-2-222002-222-2-2-2-20020−2i2i2-2-2-22000000002-2000000000−2i2i−2i2i02-200−2i−2i2i2i002i−2i2i−2i0000000000000000-220000000
χ4022-2-222002-222-2-2-2-20020−2i2i2-2-2-22000000002-2000000000−2i2i−2i2i02-200−2i−2i2i2i00−2i2i−2i2i00000000000000002-20000000
χ4122-2-22200-2222-2-2-2-22-220002-2-22-200000000-222-22-222-2-2000000-22000000002i−2i−2i2i00000000000000000002i−2i0000
χ4222-2-22200-2222-2-2-2-22-220002-2-22-200000000-222-22-222-2-2000000-2200000000−2i2i2i−2i0000000000000000000−2i2i0000
χ4322-2-22200-2222-2-2-2-2-2220002-2-22-200000000-22-22-22-2-222000000-22000000002i−2i−2i2i0000000000000000000−2i2i0000
χ4422-2-22200-2222-2-2-2-2-2220002-2-22-200000000-22-22-22-2-222000000-2200000000−2i2i2i−2i00000000000000000002i−2i0000
χ4544444-244-4-44-2-24-2400-2-400-2-2-2-4244-2-2-2-2-2-2-420000000020000-4222200000000000000000000000000000000000
χ4644444-2-4-4-4-44-2-24-2400-2400-2-2-2-42-4-4222222-4200000000-20000422-2-200000000000000000000000000000000000
χ474444-2444-4-4-244-24-200-2-400-2-2-22-4-2-244-2-2-2-22-400000000-400002222200000000000000000000000000000000000
χ484444-24-4-4-4-4-244-24-200-2400-2-2-22-422-4-422222-40000000040000-222-2-200000000000000000000000000000000000
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
χ504444-2-24444-2-2-2-2-2-2-4-414-4-4111-2-2-2-2-2-21111-2-22222-1-1-1-1-22222-21111-1-1-1-10000000000000000000000000000000
χ514444-2-244-4-4-2-2-2-2-2-2001-40011122-2-2-2-211112200003-33-3200002-1-1-1-13-33-30000000000000000000000000000000
χ524444-2-244-4-4-2-2-2-2-2-2001-40011122-2-2-2-21111220000-33-33200002-1-1-1-1-33-330000000000000000000000000000000
χ534444-2-2-4-444-2-2-2-2-2-2441-4-4-4111-2-22222-1-1-1-1-2-2-2-2-2-2111122222211-1-1-1-1-1-10000000000000000000000000000000
χ544444-2-2-4-444-2-2-2-2-2-2-4-41-444111-2-22222-1-1-1-1-2-22222-1-1-1-12-2-2-2-2211-1-111110000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-2001400111222222-1-1-1-12200003-33-3-20000-2-1-111-33-330000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-2001400111222222-1-1-1-1220000-33-33-20000-2-1-1113-33-30000000000000000000000000000000
χ5744-4-44-2004-44-22-42-400-204i−4i-222-4-200000000420000000004i−4i−2i2i0-2200−2i−2i2i2i0000000000000000000000000000000
χ5844-4-44-2004-44-22-42-400-20−4i4i-222-4-20000000042000000000−4i4i2i−2i0-22002i2i−2i−2i0000000000000000000000000000000
χ5944-4-44-200-444-22-42-44-4-2000-2224200000000-4-24-4-22-2-2220000002-20000000000000000000000000000000000000
χ6044-4-44-200-444-22-42-4-44-2000-2224200000000-4-2-442-222-2-20000002-20000000000000000000000000000000000000
χ6144-4-4-24004-4-24-42-4200-204i−4i-2222400000000-2-4000000000−2i2i4i−4i0-2200−2i−2i2i2i0000000000000000000000000000000
χ6244-4-4-24004-4-24-42-4200-20−4i4i-2222400000000-2-40000000002i−2i−4i4i0-22002i2i−2i−2i0000000000000000000000000000000
χ6344-4-4-2400-44-24-42-424-4-2000-222-2-40000000024-224-4-2-2220000002-20000000000000000000000000000000000000
χ6444-4-4-2400-44-24-42-42-44-2000-222-2-400000000242-2-4422-2-20000002-20000000000000000000000000000000000000
χ6544-4-4-2-2004-4-2-2222200104i−4i1-1-12-200003i3i−3i−3i-2200003-3-330−2i2i−2i2i01-13i−3iii−i−i0000000000000000000000000000000
χ6644-4-4-2-2004-4-2-2222200104i−4i1-1-12-20000−3i−3i3i3i-220000-333-30−2i2i−2i2i01-1−3i3iii−i−i0000000000000000000000000000000
χ6744-4-4-2-2004-4-2-222220010−4i4i1-1-12-200003i3i−3i−3i-220000-333-302i−2i2i−2i01-13i−3i−i−iii0000000000000000000000000000000
χ6844-4-4-2-2004-4-2-222220010−4i4i1-1-12-20000−3i−3i3i3i-2200003-3-3302i−2i2i−2i01-1−3i3i−i−iii0000000000000000000000000000000
χ6944-4-4-2-200-44-2-222224-410001-1-1-2200003i3i−3i−3i2-2-22-2211-1-1000000-11−3i3i3i−3i−3i3i0000000000000000000000000000000
χ7044-4-4-2-200-44-2-222224-410001-1-1-220000−3i−3i3i3i2-2-22-2211-1-1000000-113i−3i−3i3i3i−3i0000000000000000000000000000000
χ7144-4-4-2-200-44-2-22222-4410001-1-1-2200003i3i−3i−3i2-22-22-2-1-111000000-11−3i3i−3i3i3i−3i0000000000000000000000000000000
χ7244-4-4-2-200-44-2-22222-4410001-1-1-220000−3i−3i3i3i2-22-22-2-1-111000000-113i−3i3i−3i−3i3i0000000000000000000000000000000
χ734-44-4440000-4-44-4-44004000-44-400000000000000000000000000000000004-400000000000000000000000000000
χ744-44-4440000-4-44-4-44004000-44-40000000000000000000000000000000000-4400000000000000000000000000000
χ754-4-44444-400-4-4-444-4004000-4-44004-44-44-44-40000000000000000000000000000000000000000000000000000000
χ764-4-4444-4400-4-4-444-4004000-4-4400-44-44-44-440000000000000000000000000000000000000000000000000000000
χ774-4-444-24-400-4224-2-400-200022-2004-4-22-22-2200000000000000000000000000000000000000i6−i6i6−i60000000000000
χ784-4-444-24-400-4224-2-400-200022-2004-4-22-22-2200000000000000000000000000000000000000−i6i6−i6i60000000000000
χ794-4-444-2-4400-4224-2-400-200022-200-442-22-22-200000000000000000000000000000000000000i6−i6−i6i60000000000000
χ804-4-444-2-4400-4224-2-400-200022-200-442-22-22-200000000000000000000000000000000000000−i6i6i6−i60000000000000
χ814-4-44-244-4002-4-4-24200-200022-200-224-4-22-220000000000000000000000000000000000000000006−66−6000000000
χ824-4-44-244-4002-4-4-24200-200022-200-224-4-22-22000000000000000000000000000000000000000000−66−66000000000
χ834-4-44-24-44002-4-4-24200-200022-2002-2-442-22-20000000000000000000000000000000000000000006−6−66000000000
χ844-4-44-24-44002-4-4-24200-200022-2002-2-442-22-2000000000000000000000000000000000000000000−666−6000000000
χ858-88-88-40000-84-4-84800-40004-4400000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-4800004-884-8-400-40004-4400000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-4000044-444-4002000-22-20000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000
χ888-88-8-4-4000044-444-4002000-22-2000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000
χ898-8-88-4-48-800444-4-44002000-2-2200-44-442-22-20000000000000000000000000000000000000000000000000000000
χ908-8-88-4-4-8800444-4-44002000-2-22004-44-4-22-220000000000000000000000000000000000000000000000000000000

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