Finite Group Databasebeta

← Group #11887578

Character table — Group #11887578

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121616161616161818181818182424242424242424242424242424363636484872
order122233446666663446668812121212222241212121212122424242424242424446666888812121212121244888844441212121212122424242444412122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11111111111111111-111-1-111-1-1111111-1-1-1-1-1-11-11-111-1-11-111-1-1-1-1-11-1-1
χ311111111111111111111111111-1-111111111111111111-11-1-111-1-111111111-1-1-1-1-1-1-11-11-1-111-11-1-111-1-1-1-11-1
χ411111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ511111111111111111111-1-111111111-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111-1-1111111-1-1-1-11-1-1-1-11
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-111-1-1-1-111111-1-1111-1-11-1-1-111-111-11-1
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-111-1-1-111-1111-1-1-1111-1-1
χ811111111111111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-111111-1-1111
χ9111111111111111-1-11111111111111-1-1-1-1-111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1
χ10111111111111111-1-111111111111-1-1-1-1-1-1-111111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1111-111-1-1-111-111
χ11111111111111111-1-1111111111-1-111-1-1-1-1-11111111111-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-11-1-111-1111-11
χ12111111111111111-1-1111111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11-1-111-1
χ13111111111111111-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-1
χ14111111111111111-1-1111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-111-1-11111-111-1-1-1111-1-1-111-1-1-11-11
χ15111111111111111-1-1111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-11111-1-111-1-111-1-111111-1-1111-1-1-1111-1-1-1-1-1-111
χ16111111111111111-1-1111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-11111-1-11111111-1-1-1
χ17222222-2-222222220022200-2-2-2-2222200000-2-200000000-2-22222000000000022000000000000-2-20000-200000
χ18222222-2-222222220022200-2-2-2-222-2-200000-2-200000000-2222-2-20000000000-2-2000000000000-220000200000
χ19222222-2-222222220022200-2-2-2-2-2-22200000-2-2000000002-2-2-2220000000000-2-20000000000002-20000200000
χ20222222-2-222222220022200-2-2-2-2-2-2-2-200000-2-20000000022-2-2-2-2000000000022000000000000220000-200000
χ2122222-1222-12-12-1-122-1-1-1222-12-10022222-1-1-1-122-1-1-1-1-1-10200-1-100222-1-1-1-1-1000000020200-1-10-100-1-10000-10
χ2222222-1222-12-12-1-122-1-1-1222-12-100-2-2222-1-1-1-122-1-1-1-1-1-10-2001100-2-22-1-1-1-1-10000000-20-20011010011000010
χ2322222-1222-12-12-1-122-1-1-1-2-22-12-10022-222-1-1-1-1-2-21111110200-1-100-2-2-21-1-111000000020-200-1-10-10011000010
χ2422222-1222-12-12-1-122-1-1-1-2-22-12-100-2-2-222-1-1-1-1-2-21111110-200110022-21-1-1110000000-20200110100-1-10000-10
χ2522222-1222-12-12-1-1-2-2-1-1-1222-12-10022-2-2-211-1-122-1-1-1-1-1-10200-1-10022-2111110000000-20-200110-100-1-1000010
χ2622222-1222-12-12-1-1-2-2-1-1-1222-12-100-2-2-2-2-211-1-122-1-1-1-1-1-10-2001100-2-2-211111000000020200-1-10100110000-10
χ2722222-1222-12-12-1-1-2-2-1-1-1-2-22-12-100222-2-211-1-1-2-21111110200-1-100-2-22-111-1-10000000-20200110-100110000-10
χ2822222-1222-12-12-1-1-2-2-1-1-1-2-22-12-100-2-22-2-211-1-1-2-21111110-2001100222-111-1-1000000020-200-1-10100-1-1000010
χ292222-1222-12-12-12-122-1-1-122-12-1222002-1-122-1-1-1-122-1-1-1-120-1-1002200-12-1-1-1-10000002020-1-100-10-1-100000-100
χ302222-1222-12-12-12-122-1-1-122-12-12-2-2002-1-122-1-1-1-122-1-1-1-1-201100-2-200-12-1-1-1-1000000-20-201100101100000100
χ312222-1222-12-12-12-122-1-1-1-2-2-12-122200-2-1-122-1-111-2-2111120-1-100-2-2001-2-1-11100000020-20-1-100-101100000100
χ322222-1222-12-12-12-122-1-1-1-2-2-12-12-2-200-2-1-122-1-111-2-21111-20110022001-2-1-111000000-2020110010-1-100000-100
χ332222-1222-12-12-12-1-2-2-1-1-122-12-122200-211-2-2-1-1-1-122-1-1-1-120-1-10022001-21111000000-20-201100-10-1-100000100
χ342222-1222-12-12-12-1-2-2-1-1-122-12-12-2-200-211-2-2-1-1-1-122-1-1-1-1-201100-2-2001-211110000002020-1-100101100000-100
χ352222-1222-12-12-12-1-2-2-1-1-1-2-2-12-122200211-2-2-1-111-2-2111120-1-100-2-200-1211-1-1000000-20201100-101100000-100
χ362222-1222-12-12-12-1-2-2-1-1-1-2-2-12-12-2-200211-2-2-1-111-2-21111-2011002200-1211-1-100000020-20-1-10010-1-100000100
χ372-22-22200-2-222-2-2200-22-2−i2i200002-22-20000000−i2i2−i2i2−i2−i2i2i2002-22-2−i2i2−i2i20000002-2−i2−i2i2i20000000000−i2i2−i2i2000000
χ382-22-22200-2-222-2-2200-22-2−i2i200002-2-220000000−i2i2−i2i2−i2−i2i2i2002-2-22−i2i2i2−i2000000-22i2i2−i2−i20000000000−i2i2i2−i2000000
χ392-22-22200-2-222-2-2200-22-2−i2i20000-222-20000000−i2i2−i2i2−i2−i2i2i200-222-2i2−i2−i2i2000000-22i2i2−i2−i20000000000i2−i2−i2i2000000
χ402-22-22200-2-222-2-2200-22-2−i2i20000-22-220000000−i2i2−i2i2−i2−i2i2i200-22-22i2−i2i2−i20000002-2−i2−i2i2i20000000000i2−i2i2−i2000000
χ412-22-22200-2-222-2-2200-22-2i2−i200002-22-20000000i2−i2i2−i2i2i2−i2−i2002-22-2i2−i2i2−i20000002-2i2i2−i2−i20000000000i2−i2i2−i2000000
χ422-22-22200-2-222-2-2200-22-2i2−i200002-2-220000000i2−i2i2−i2i2i2−i2−i2002-2-22i2−i2−i2i2000000-22−i2−i2i2i20000000000i2−i2−i2i2000000
χ432-22-22200-2-222-2-2200-22-2i2−i20000-222-20000000i2−i2i2−i2i2i2−i2−i200-222-2−i2i2i2−i2000000-22−i2−i2i2i20000000000−i2i2i2−i2000000
χ442-22-22200-2-222-2-2200-22-2i2−i20000-22-220000000i2−i2i2−i2i2i2−i2−i200-22-22−i2i2−i2i20000002-2i2i2−i2−i20000000000−i2i2−i2i2000000
χ452-2-22222-2-2-2-2-22222i−2i2-2-20022-2-2000002i−2i2i−2i-22000000000000000000002i−2i00002i−2i2i−2i0000000000000002-2000
χ462-2-22222-2-2-2-2-22222i−2i2-2-20022-2-2000002i−2i2i−2i-22000000000000000000002i−2i0000−2i2i−2i2i000000000000000-22000
χ472-2-22222-2-2-2-2-2222−2i2i2-2-20022-2-200000−2i2i−2i2i-2200000000000000000000−2i2i00002i−2i2i−2i000000000000000-22000
χ482-2-22222-2-2-2-2-2222−2i2i2-2-20022-2-200000−2i2i−2i2i-2200000000000000000000−2i2i0000−2i2i−2i2i0000000000000002-2000
χ4944444-2-4-44-24-24-2-200-2-2-200-42-4200440000022000000000-400-2-2000000000000000000000000020000000000
χ5044444-2-4-44-24-24-2-200-2-2-200-42-4200-4-40000022000000000400220000000000000000000000000-20000000000
χ514444-24-4-4-24-24-24-200-2-2-2002-42-44400000002200000000-40-2-200000000000000000000000000200000000000
χ524444-24-4-4-24-24-24-200-2-2-2002-42-4-4-400000002200000000402200000000000000000000000000-200000000000
χ534444-2-244-2-2-2-2-2-214411144-2-2-2-200004-2-2-2-211-2-2-2-211110000000000-2-2111100000000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-20000-4-2-2-2-2112222-1-1-1-100000000002211-1-100000000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-411144-2-2-2-20000-4222211-2-2-2-21111000000000022-1-1-1-100000000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2000042222112222-1-1-1-10000000000-2-2-1-11100000000000000000000000000
χ5744-4-4440044-4-4-4-4400-4-44000000000000000000000000000000000000000000022−22−222200000000000000000000
χ5844-4-4440044-4-4-4-4400-4-440000000000000000000000000000000000000000000−222222−2200000000000000000000
χ594-44-44-200-424-2-42-2002-22−2i22i20000004-40000000−2i22i2i2−i2i2i2−i2−i20000-2200−2i22i2000000000000000000000000i2−i2000000
χ604-44-44-200-424-2-42-2002-22−2i22i2000000-440000000−2i22i2i2−i2i2i2−i2−i200002-2002i2−2i2000000000000000000000000−i2i2000000
χ614-44-44-200-424-2-42-2002-222i2−2i20000004-400000002i2−2i2−i2i2−i2−i2i2i20000-22002i2−2i2000000000000000000000000−i2i2000000
χ624-44-44-200-424-2-42-2002-222i2−2i2000000-4400000002i2−2i2−i2i2−i2−i2i2i200002-200−2i22i2000000000000000000000000i2−i2000000
χ634-44-4-24002-4-242-4-2002-22−2i22i200004-4000000000i2−i2−2i22i2i2i2−i2−i200-2200−2i22i2000000000000000000000000i2−i200000000
χ644-44-4-24002-4-242-4-2002-22−2i22i20000-44000000000i2−i2−2i22i2i2i2−i2−i2002-2002i2−2i2000000000000000000000000−i2i200000000
χ654-44-4-24002-4-242-4-2002-222i2−2i200004-4000000000−i2i22i2−2i2−i2−i2i2i200-22002i2−2i2000000000000000000000000−i2i200000000
χ664-44-4-24002-4-242-4-2002-222i2−2i20000-44000000000−i2i22i2−2i2−i2−i2i2i2002-200−2i22i2000000000000000000000000i2−i200000000
χ674-4-4444-44-4-4-4-4444004-4-400-4-4440000000004-400000000000000000000000000000000000000000000000000
χ684-4-444-24-4-42-424-2-24i−4i-222004-2-42000004i−4i−2i2i2-200000000000000000000−2i2i0000000000000000000000000000
χ694-4-444-24-4-42-424-2-2−4i4i-222004-2-4200000−4i4i2i−2i2-2000000000000000000002i−2i0000000000000000000000000000
χ704-4-444-2-44-42-424-2-200-22200-424-2000000000-2200000000000000000000000000000000000023−23000000000000
χ714-4-444-2-44-42-424-2-200-22200-424-2000000000-22000000000000000000000000000000000000−2323000000000000
χ724-4-44-244-42-42-4-24-24i−4i-22200-242-400000−2i2i4i−4i2-200000000000000000000−2i2i0000000000000000000000000000
χ734-4-44-244-42-42-4-24-2−4i4i-22200-242-4000002i−2i−4i4i2-2000000000000000000002i−2i0000000000000000000000000000
χ744-4-44-24-442-42-4-24-200-222002-4-24000000000-22000000000000000000000000000000000023−2300000000000000
χ754-4-44-24-442-42-4-24-200-222002-4-24000000000-220000000000000000000000000000000000−232300000000000000
χ764-4-44-2-24-42222-2-214i−4i1-1-100-2-22200000−2i2i−2i2i-1100003-33-3000000000000i−i3i−3i00000000000000000000000000
χ774-4-44-2-24-42222-2-214i−4i1-1-100-2-22200000−2i2i−2i2i-110000-33-33000000000000i−i−3i3i00000000000000000000000000
χ784-4-44-2-24-42222-2-21−4i4i1-1-100-2-222000002i−2i2i−2i-1100003-33-3000000000000−ii−3i3i00000000000000000000000000
χ794-4-44-2-24-42222-2-21−4i4i1-1-100-2-222000002i−2i2i−2i-110000-33-33000000000000−ii3i−3i00000000000000000000000000
χ808888-4-4-8-8-4-4-4-4-4-4200222004444000000000-2-200000000000000000000000000000000000000000000000000
χ8188-8-88-4008-4-84-84-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4800-484-84-8-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ8388-8-8-4-400-4-44444200-2-22000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000
χ8488-8-8-4-400-4-44444200-2-220000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000
χ858-88-8-4-40044-4-444200-22-2−4i24i20000000000000002i2−2i22i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ868-88-8-4-40044-4-444200-22-24i2−4i2000000000000000−2i22i2−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ878-8-88-4-4-884444-4-42002-2-20044-4-40000000002-200000000000000000000000000000000000000000000000000

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