Finite Group Databasebeta

← Group #11896075

Character table — Group #11896075

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222224444444444444888888888888881212121212121212121212121212121216161616161624242424242424242424242424242424363636367272
order12223344446666663466612121212121212124412121212121212121212121244444444121212121212121212121212121224668812121212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-1111111-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1111111111111111111111-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111
χ611111111111111111111111111111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1
χ711111111111111111111111111111-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1
χ811111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-11111-1-1-1-111
χ9111111-1-1111111111-1111-1-1111-1-111-111-1-1-1-1-1-1-1-111111-1111-111-1-111111-111-1-1-1-1-1-11-1-1-1111-111-1-111-1-11-1
χ10111111-1-1111111111-1111-1-1111-1-111-111-1-1-1-1-1-1-1-11111-11-1-1-11-1-111-1-1-1-11-111-1-11-1111-1-1-111-1111-1-1-1-111-11
χ11111111-1-1111111111-1111-1-1111-1-111-111-1-1-1-1-1-1-1-111-1-11-1111-111-1-111111-111-1-1-11-1-1-1111-1-11-1-1-111-1-111-11
χ12111111-1-1111111111-1111-1-1111-1-111-111-1-1-1-1-1-1-1-111-1-1-11-1-1-11-1-111-1-1-1-11-111-1-11111-1111-1-1-11-1-11111-1-11-1
χ13111111-1-1111111111-1111-1-1111-1-11-11-1-111-1-1-1-1-1-111111-1-1-11-111-1-1-1-1-1-1-11-1-1111-111-11-1-1111-1-1-111-1-1111-1
χ14111111-1-1111111111-1111-1-1111-1-11-11-1-111-1-1-1-1-1-11111-1111-11-1-1111111-11-1-111-1-1-1-1-11-1-111-11-1-11111-1-1-11
χ15111111-1-1111111111-1111-1-1111-1-11-11-1-111-1-1-1-1-1-111-1-11-1-1-11-111-1-1-1-1-1-1-11-1-11111111-111-1-11-111-1-111-1-1-11
χ16111111-1-1111111111-1111-1-1111-1-11-11-1-111-1-1-1-1-1-111-1-1-1111-11-1-1111111-11-1-111-11-1-11-111-1-1-1111-1-1-1-1111-1
χ1722222222-2-22222222-222222-2-2-222-2000000-2-222-2-2-2-2002200-2-2-2-2-2-200000000000000000000220000000000
χ1822222222-2-22222222-222222-2-2-222-2000000-2-222-2-2-2-200-2-20022222200000000000000000000-2-20000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-200000022-2-222-2-2002-200-22-2-222000000000000000000002-20000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-200000022-2-222-2-200-22002-222-2-200000000000000000000-220000000000
χ2122222-122222-12-12-1-12-1-1-122-1-12-1-1222-1-1-1-12-1-1-1-1-1-1-100222222-1-1-1-1-1-1-1-122-1-1-1-120-1-1000000-1-10000000000
χ2222222-122222-12-12-1-12-1-1-122-1-12-1-1222-1-1-1-12-1-1-1-1-1-1-100-2-2-2-2-2-21111111122-1-1-1-1-2011000000110000000000
χ2322222-122222-12-12-1-12-1-1-122-1-12-1-12-2-211112-1-1-1-1-1-1-10022-2-222-1-1-1-11111-2-21111-2011000000-1-10000000000
χ2422222-122222-12-12-1-12-1-1-122-1-12-1-12-2-211112-1-1-1-1-1-1-100-2-222-2-21111-1-1-1-1-2-2111120-1-1000000110000000000
χ2522222-122-2-22-12-12-1-1-2-1-1-12211-2-1-1-200−i3i3−i3i3-21-1-11111002200-2-21111−i3−i3i3i300−i3i3−i3i300−i3i3000000-1-10000000000
χ2622222-122-2-22-12-12-1-1-2-1-1-12211-2-1-1-200−i3i3−i3i3-21-1-1111100-2-20022-1-1-1-1i3i3−i3−i300−i3i3−i3i300i3−i3000000110000000000
χ2722222-122-2-22-12-12-1-1-2-1-1-12211-2-1-1-200i3−i3i3−i3-21-1-11111002200-2-21111i3i3−i3−i300i3−i3i3−i300i3−i3000000-1-10000000000
χ2822222-122-2-22-12-12-1-1-2-1-1-12211-2-1-1-200i3−i3i3−i3-21-1-1111100-2-20022-1-1-1-1−i3−i3i3i300i3−i3i3−i300−i3i3000000110000000000
χ2922222-1-2-2222-12-12-1-1-2-1-1-1-2-2-1-121122-2-1-111-211111-1-1002-2222-2-1-111-1-1-1-12-2-1-111-2011000000-110000000000
χ3022222-1-2-2222-12-12-1-1-2-1-1-1-2-2-1-121122-2-1-111-211111-1-100-22-2-2-2211-1-111112-2-1-11120-1-10000001-10000000000
χ3122222-1-2-2222-12-12-1-1-2-1-1-1-2-2-1-12112-2211-1-1-211111-1-1002-2-2-22-2-1-1111111-2211-1-120-1-1000000-110000000000
χ3222222-1-2-2222-12-12-1-1-2-1-1-1-2-2-1-12112-2211-1-1-211111-1-100-2222-2211-1-1-1-1-1-1-2211-1-1-20110000001-10000000000
χ3322222-1-2-2-2-22-12-12-1-12-1-1-1-2-211-211-200−i3i3i3−i32-111-1-111002-200-2211-1-1−i3−i3i3i300−i3i3i3−i300i3−i3000000-110000000000
χ3422222-1-2-2-2-22-12-12-1-12-1-1-1-2-211-211-200−i3i3i3−i32-111-1-11100-22002-2-1-111i3i3−i3−i300−i3i3i3−i300−i3i30000001-10000000000
χ3522222-1-2-2-2-22-12-12-1-12-1-1-1-2-211-211-200i3−i3−i3i32-111-1-111002-200-2211-1-1i3i3−i3−i300i3−i3−i3i300−i3i3000000-110000000000
χ3622222-1-2-2-2-22-12-12-1-12-1-1-1-2-211-211-200i3−i3−i3i32-111-1-11100-22002-2-1-111−i3−i3i3i300i3−i3−i3i300i3−i30000001-10000000000
χ372222-122222-12-12-12-12-1-1-1-1-122-122-1222222-12-1-1-1-1-1-12200000000000000-1-1-1-1-1-1020022-1-1-1-100-1-1-1-1000000
χ382222-122222-12-12-12-12-1-1-1-1-122-122-1222222-12-1-1-1-1-1-1-2-200000000000000-1-1-1-1-1-10-200-2-21111001111000000
χ392222-122222-12-12-12-12-1-1-1-1-122-122-1-2-2-2-2-2-2-12-1-1-1-1-1-122000000000000001111110200-2-2-1-1-1-1001111000000
χ402222-122222-12-12-12-12-1-1-1-1-122-122-1-2-2-2-2-2-2-12-1-1-1-1-1-1-2-2000000000000001111110-20022111100-1-1-1-1000000
χ412222-12-2-222-12-12-12-1-2-1-1-11122-1-2-2-12-222-2-21-21111-1-12200000000000000-11-1-1110-2002-211-1-100-1-111000000
χ422222-12-2-222-12-12-12-1-2-1-1-11122-1-2-2-12-222-2-21-21111-1-1-2-200000000000000-11-1-1110200-22-1-1110011-1-1000000
χ432222-12-2-222-12-12-12-1-2-1-1-11122-1-2-2-1-22-2-2221-21111-1-122000000000000001-111-1-10-200-2211-1-10011-1-1000000
χ442222-12-2-222-12-12-12-1-2-1-1-11122-1-2-2-1-22-2-2221-21111-1-1-2-2000000000000001-111-1-102002-2-1-11100-1-111000000
χ4522-2-22200-22-22-2-22-220-2-22002-2-20020000000000002-22-2002i−2i0000002i−2i2i−2i000000000000002-20000002i−2i0000
χ4622-2-22200-22-22-2-22-220-2-22002-2-20020000000000002-22-200−2i2i000000−2i2i−2i2i000000000000002-2000000−2i2i0000
χ4722-2-22200-22-22-2-22-220-2-22002-2-20020000000000002-2-22002i−2i0000002i−2i2i−2i00000000000000-22000000−2i2i0000
χ4822-2-22200-22-22-2-22-220-2-22002-2-20020000000000002-2-2200−2i2i000000−2i2i−2i2i00000000000000-220000002i−2i0000
χ494444-2444-4-4-24-24-24-2-4-2-2-2-2-2-4-424420000002-4-2-2222200000000000000000000000000000000000000000000
χ504444-24-4-4-4-4-24-24-24-24-2-2-222-4-42-4-42000000-2422-2-22200000000000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-244-2-2-2-2-2-21111110000000000000000-2-211110000000000000000000000
χ524444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-4-42222-2-2111111000000000000000022-1-1-1-10000000000000000000000
χ534444-2-244-4-4-2-2-2-2-2-21-4111-2-2222-2-2200−2i32i3−2i32i32211-1-1-1-1000000000000000000i3−i3i3−i30000000000000000000000
χ544444-2-244-4-4-2-2-2-2-2-21-4111-2-2222-2-22002i3−2i32i3−2i32211-1-1-1-1000000000000000000−i3i3−i3i30000000000000000000000
χ554444-2-2-4-444-2-2-2-2-2-21-411122-2-2-222-24-4-2-22222-1-1-1-1110000000000000000-2211-1-10000000000000000000000
χ564444-2-2-4-444-2-2-2-2-2-21-411122-2-2-222-2-4422-2-222-1-1-1-11100000000000000002-2-1-1110000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200−2i32i32i3−2i3-2-2-1-111-1-1000000000000000000i3−i3−i3i30000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-21411122222222002i3−2i3−2i32i3-2-2-1-111-1-1000000000000000000−i3i3i3−i30000000000000000000000
χ5944-4-444004-4-44-4-44-440-4-4400-44400-4000000000000-4400000000000000000000000000000000000000000000
χ6044-4-44-2004-4-4-2-4242-2022-2002-2400-40000000000002-200000000000023−23−23230000000000000000000000000000
χ6144-4-44-2004-4-4-2-4242-2022-2002-2400-40000000000002-2000000000000−232323−230000000000000000000000000000
χ6244-4-44-200-44-4-2-4242-2022-200-22-4004000000000000-2200004i−4i000000−2i2i−2i2i0000000000000000000000000000
χ6344-4-44-200-44-4-2-4242-2022-200-22-4004000000000000-220000−4i4i0000002i−2i2i−2i0000000000000000000000000000
χ6444-4-4-24004-4242-4-2-4-2022-200-44-20020000000000002-2000000000000000000000000000023−2300000000000000
χ6544-4-4-24004-4242-4-2-4-2022-200-44-20020000000000002-20000000000000000000000000000−232300000000000000
χ6644-4-4-2400-44242-4-2-4-2022-2004-4200-2000000000000-224-40000000000000000000000000000-22000000000000
χ6744-4-4-2400-44242-4-2-4-2022-2004-4200-2000000000000-22-4400000000000000000000000000002-2000000000000
χ684-44-4444-4004-4-4-4-44404-4-44-40004-40000000004-4000000000000000000000000000000000000000000000000
χ694-44-444-44004-4-4-4-44404-4-4-44000-44000000000-44000000000000000000000000000000000000000000000000
χ704-44-44-24-40042-42-4-2-20-2224-4000-22000000000-2200000000000023−2323−2300000000000000000000000000000000
χ714-44-44-24-40042-42-4-2-20-2224-4000-22000000000-22000000000000−2323−232300000000000000000000000000000000
χ724-44-44-2-440042-42-4-2-20-222-440002-20000000002-200000000000023−23−232300000000000000000000000000000000
χ734-44-44-2-440042-42-4-2-20-222-440002-20000000002-2000000000000−232323−2300000000000000000000000000000000
χ744-44-4-244-400-2-42-424-20-222-220004-4000000000-2200000000000000000000000000000000000000i6−i6i6−i6000000
χ754-44-4-244-400-2-42-424-20-222-220004-4000000000-2200000000000000000000000000000000000000−i6i6−i6i6000000
χ764-44-4-24-4400-2-42-424-20-2222-2000-440000000002-200000000000000000000000000000000000000i6−i6−i6i6000000
χ774-44-4-24-4400-2-42-424-20-2222-2000-440000000002-200000000000000000000000000000000000000−i6i6i6−i6000000
χ784-4-44440000-4-444-4-440-44-400000000000000000000000000000000000000000000000000000000000000−2i22i200
χ794-4-44440000-4-444-4-440-44-4000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ8088-8-8-4-4008-84-444-4420-2-22004-4-4004000000000000-2200000000000000000000000000000000000000000000
χ8188-8-8-4-400-884-444-4420-2-2200-44400-40000000000002-200000000000000000000000000000000000000000000
χ828-88-8-4-48-800-44444-4202-2-2-44000-440000000002-2000000000000000000000000000000000000000000000000
χ838-88-8-4-4-8800-44444-4202-2-24-40004-4000000000-22000000000000000000000000000000000000000000000000
χ848-8-888-40000-848-4-84-404-44000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-4800004-8-484-8-404-44000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4000044-4-44420-22-20000000000000000006-60000000000000000000000000000000000000000000000
χ878-8-88-4-4000044-4-44420-22-2000000000000000000-660000000000000000000000000000000000000000000000

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