Finite Group Databasebeta

← Group #11895974

Character table — Group #11895974

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222224444444444444888888888888881212121212121212121212121212121216161616161624242424242424242424242424242424363636367272
order1222334444666666346661212121212121212226666121212121212121244444444121212121212121266666624668812121212121224242424888844
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
χ511111111111111111111111111111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111
χ611111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1
χ711111111111111111111111111111-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1
χ811111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-11111-1-1-1-111
χ9111111-1-1111111111-111111-1-11-1-111-111-1-1-1-111-1-1-1-1111-11-11111-1-111111-111-1-1-1-1-1-11-111-1-11-111-1-111-1-11-1
χ10111111-1-1111111111-111111-1-11-1-111-111-1-1-1-111-1-1-1-111-11-11-1-1-1-111-1-1-1-11-111-1-11-1111-111-1-1-1111-1-1-1-111-11
χ11111111-1-1111111111-111111-1-11-1-111-111-1-1-1-111-1-1-1-1-1-11-11-11111-1-111111-111-1-1-11-1-1-11-1-1111-1-1-111-1-111-11
χ12111111-1-1111111111-111111-1-11-1-111-111-1-1-1-111-1-1-1-1-1-1-11-11-1-1-1-111-1-1-1-11-111-1-11111-11-1-111-11-1-11111-1-11-1
χ13111111-1-1111111111-111111-1-11-1-11-11-1-111-1-111-1-1-1-1111-11-1-1-111-1-1-1-1-1-1-11-1-1111-111-1111-1-11-1-1-111-1-1111-1
χ14111111-1-1111111111-111111-1-11-1-11-11-1-111-1-111-1-1-1-111-11-1111-1-1111111-11-1-111-1-1-1-1-1111-1-1-11-1-11111-1-1-11
χ15111111-1-1111111111-111111-1-11-1-11-11-1-111-1-111-1-1-1-1-1-11-11-1-1-111-1-1-1-1-1-1-11-1-11111111-1-1-1111-111-1-111-1-1-11
χ16111111-1-1111111111-111111-1-11-1-11-11-1-111-1-111-1-1-1-1-1-1-11-1111-1-1111111-11-1-111-11-1-11-1-1-111-1111-1-1-1-1111-1
χ1722222222-2-22222222-2222-2-222-222-2000000-2-2-2-222-2-20022-2-200-2-2-2-200000000000000000000220000000000
χ1822222222-2-22222222-2222-2-222-222-2000000-2-2-2-222-2-200-2-22200222200000000000000000000-2-20000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-200000022-2-2-2-222002-2-2200-2-222000000000000000000002-20000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-200000022-2-2-2-22200-222-20022-2-200000000000000000000-220000000000
χ2122222-122222-122-1-1-12-1-1-1-1-1222-1-1222-1-1-1-12-1-1-1-1-1-1-100222222-1-1-1-1-1-1-1-122-1-1-1-120-1-1000000-1-10000000000
χ2222222-122222-122-1-1-12-1-1-1-1-1222-1-1222-1-1-1-12-1-1-1-1-1-1-100-2-2-2-2-2-21111111122-1-1-1-1-2011000000110000000000
χ2322222-122222-122-1-1-12-1-1-1-1-1222-1-12-2-211112-1-1-1-1-1-1-1002222-2-2-1-1-1-11111-2-21111-2011000000-1-10000000000
χ2422222-122222-122-1-1-12-1-1-1-1-1222-1-12-2-211112-1-1-1-1-1-1-100-2-2-2-2221111-1-1-1-1-2-2111120-1-1000000110000000000
χ2522222-122-2-22-122-1-1-1-2-1-1-11122-2-1-1-200−i3i3−i3i3-2111-1-1110022-2-2001111−i3−i3i3i300−i3i3−i3i300−i3i3000000-1-10000000000
χ2622222-122-2-22-122-1-1-1-2-1-1-11122-2-1-1-200−i3i3−i3i3-2111-1-11100-2-22200-1-1-1-1i3i3−i3−i300−i3i3−i3i300i3−i3000000110000000000
χ2722222-122-2-22-122-1-1-1-2-1-1-11122-2-1-1-200i3−i3i3−i3-2111-1-1110022-2-2001111i3i3−i3−i300i3−i3i3−i300i3−i3000000-1-10000000000
χ2822222-122-2-22-122-1-1-1-2-1-1-11122-2-1-1-200i3−i3i3−i3-2111-1-11100-2-22200-1-1-1-1−i3−i3i3i300i3−i3i3−i300−i3i3000000110000000000
χ2922222-1-2-2222-122-1-1-1-2-1-1-1-1-1-2-221122-2-1-111-21-1-11111002-22-222-1-111-1-1-1-12-2-1-111-2011000000-110000000000
χ3022222-1-2-2222-122-1-1-1-2-1-1-1-1-1-2-221122-2-1-111-21-1-1111100-22-22-2-211-1-111112-2-1-11120-1-10000001-10000000000
χ3122222-1-2-2222-122-1-1-1-2-1-1-1-1-1-2-22112-2211-1-1-21-1-11111002-22-2-2-2-1-1111111-2211-1-120-1-1000000-110000000000
χ3222222-1-2-2222-122-1-1-1-2-1-1-1-1-1-2-22112-2211-1-1-21-1-1111100-22-222211-1-1-1-1-1-1-2211-1-1-20110000001-10000000000
χ3322222-1-2-2-2-22-122-1-1-12-1-1-111-2-2-211-200−i3i3i3−i32-11111-1-1002-2-220011-1-1−i3−i3i3i300−i3i3i3−i300i3−i3000000-110000000000
χ3422222-1-2-2-2-22-122-1-1-12-1-1-111-2-2-211-200−i3i3i3−i32-11111-1-100-222-200-1-111i3i3−i3−i300−i3i3i3−i300−i3i30000001-10000000000
χ3522222-1-2-2-2-22-122-1-1-12-1-1-111-2-2-211-200i3−i3−i3i32-11111-1-1002-2-220011-1-1i3i3−i3−i300i3−i3−i3i300−i3i3000000-110000000000
χ3622222-1-2-2-2-22-122-1-1-12-1-1-111-2-2-211-200i3−i3−i3i32-11111-1-100-222-200-1-111−i3−i3i3i300i3−i3−i3i300i3−i30000001-10000000000
χ372222-122222-12-1-122-12-1-1-122-1-1-122-1222222-12-1-1-1-1-1-12200000000000000-1-1-1-1-1-1020022-1-1-1-100-1-1-1-1000000
χ382222-122222-12-1-122-12-1-1-122-1-1-122-1222222-12-1-1-1-1-1-1-2-200000000000000-1-1-1-1-1-10-200-2-21111001111000000
χ392222-122222-12-1-122-12-1-1-122-1-1-122-1-2-2-2-2-2-2-12-1-1-1-1-1-122000000000000001111110200-2-2-1-1-1-1001111000000
χ402222-122222-12-1-122-12-1-1-122-1-1-122-1-2-2-2-2-2-2-12-1-1-1-1-1-1-2-2000000000000001111110-20022111100-1-1-1-1000000
χ412222-12-2-222-12-1-122-1-2-1-1-12211-1-2-2-12-222-2-21-2-1-111112200000000000000-11-1-1110-2002-2-1-11100-1-111000000
χ422222-12-2-222-12-1-122-1-2-1-1-12211-1-2-2-12-222-2-21-2-1-11111-2-200000000000000-11-1-1110200-2211-1-10011-1-1000000
χ432222-12-2-222-12-1-122-1-2-1-1-12211-1-2-2-1-22-2-2221-2-1-1111122000000000000001-111-1-10-200-22-1-1110011-1-1000000
χ442222-12-2-222-12-1-122-1-2-1-1-12211-1-2-2-1-22-2-2221-2-1-11111-2-2000000000000001-111-1-102002-211-1-100-1-111000000
χ4522-2-22200-22-222-2-2-2202-2-22-200-2002000000002-200002-200002i−2i00002i−2i2i−2i0000000000002-2000000002i−2i0000
χ4622-2-22200-22-222-2-2-2202-2-22-200-2002000000002-200002-20000−2i2i0000−2i2i−2i2i0000000000002-200000000−2i2i0000
χ4722-2-22200-22-222-2-2-2202-2-22-200-2002000000002-20000-2200002i−2i00002i−2i2i−2i000000000000-2200000000−2i2i0000
χ4822-2-22200-22-222-2-2-2202-2-22-200-2002000000002-20000-220000−2i2i0000−2i2i−2i2i000000000000-22000000002i−2i0000
χ494444-2444-4-4-24-2-244-2-4-2-2-2-4-4-2-224420000002-422-2-22200000000000000000000000000000000000000000000
χ504444-24-4-4-4-4-24-2-244-24-2-2-2-4-4222-4-42000000-242222-2-200000000000000000000000000000000000000000000
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
χ534444-2-244-4-4-2-2-2-2-2-21-411122-2-22-2-2200−2i32i3−2i32i322-1-111-1-1000000000000000000i3−i3i3−i30000000000000000000000
χ544444-2-244-4-4-2-2-2-2-2-21-411122-2-22-2-22002i3−2i32i3−2i322-1-111-1-1000000000000000000−i3i3−i3i30000000000000000000000
χ554444-2-2-4-444-2-2-2-2-2-21-4111-2-222-222-24-4-2-2222211-1-1-1-10000000000000000-2211-1-10000000000000000000000
χ564444-2-2-4-444-2-2-2-2-2-21-4111-2-222-222-2-4422-2-22211-1-1-1-100000000000000002-2-1-1110000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200−2i32i32i3−2i3-2-2-1-1-1-111000000000000000000i3−i3−i3i30000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-21411122222222002i3−2i3−2i32i3-2-2-1-1-1-111000000000000000000−i3i3i3−i30000000000000000000000
χ5944-4-444004-4-444-4-4-4404-4-4-4400400-400000000-44000000000000000000000000000000000000000000000000
χ6044-4-44-2004-4-4-24-422-20-2222-200400-4000000002-2000000000000000023−23−23230000000000000000000000000000
χ6144-4-44-2004-4-4-24-422-20-2222-200400-4000000002-20000000000000000−232323−230000000000000000000000000000
χ6244-4-44-200-44-4-24-422-20-222-2200-400400000000-2200000000004i−4i0000−2i2i−2i2i0000000000000000000000000000
χ6344-4-44-200-44-4-24-422-20-222-2200-400400000000-220000000000−4i4i00002i−2i2i−2i0000000000000000000000000000
χ6444-4-4-24004-424-22-4-4-20-222-4400-2002000000002-2000000000000000000000000000000000023−23000000000000
χ6544-4-4-24004-424-22-4-4-20-222-4400-2002000000002-20000000000000000000000000000000000−2323000000000000
χ6644-4-4-2400-4424-22-4-4-20-2224-400200-200000000-2200004-400000000000000000000000000-2200000000000000
χ6744-4-4-2400-4424-22-4-4-20-2224-400200-200000000-220000-44000000000000000000000000002-200000000000000
χ684-44-4440000-4-4-444-440-44-400000000000000000000000000000000000000000000000000000000000000−2i22i200
χ694-44-4440000-4-4-444-440-44-4000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ704-4-44444-4004-4-4-4-4440-4-44004-404-4000000000004-40000000000000000000000000000000000000000000000
χ714-4-4444-44004-4-4-4-4440-4-4400-440-4400000000000-440000000000000000000000000000000000000000000000
χ724-4-444-24-40042-4-42-2-2022-2004-40-2200000000000-220000000000−2i32i3−2i32i300000000000000000000000000000000
χ734-4-444-24-40042-4-42-2-2022-2004-40-2200000000000-2200000000002i3−2i32i3−2i300000000000000000000000000000000
χ744-4-444-2-440042-4-42-2-2022-200-4402-2000000000002-20000000000−2i32i32i3−2i300000000000000000000000000000000
χ754-4-444-2-440042-4-42-2-2022-200-4402-2000000000002-200000000002i3−2i3−2i32i300000000000000000000000000000000
χ764-4-44-244-400-2-422-44-2022-200-2204-400000000000-220000000000000000000000000000000000006−66−6000000
χ774-4-44-244-400-2-422-44-2022-200-2204-400000000000-22000000000000000000000000000000000000−66−66000000
χ784-4-44-24-4400-2-422-44-2022-2002-20-44000000000002-20000000000000000000000000000000000006−6−66000000
χ794-4-44-24-4400-2-422-44-2022-2002-20-44000000000002-2000000000000000000000000000000000000−666−6000000
χ8088-8-8-4-4008-84-4-4444202-2-24-400-400400000000-22000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-884-4-4444202-2-2-4400400-4000000002-2000000000000000000000000000000000000000000000000
χ828-88-88-40000-84-88-44-404-44000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4800004-84-48-8-404-44000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-40000444-4-4420-22-2000000000000000000006-600000000000000000000000000000000000000000000
χ858-88-8-4-40000444-4-4420-22-200000000000000000000-6600000000000000000000000000000000000000000000
χ868-8-88-4-48-800-44444-420-2-2200-440-44000000000002-20000000000000000000000000000000000000000000000
χ878-8-88-4-4-8800-44444-420-2-22004-404-400000000000-220000000000000000000000000000000000000000000000

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