Finite Group Databasebeta

← Group #11885765

Character table — Group #11885765

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444446666888888888888888812121212121212121212121212121616161616161818181818182424242424242424242424243648487272
order122233446666663666881212121222442466121212122424242424242424222244668888121266612121222888822666612122424242446624
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-1
χ311111111111111111111111111-1-1111111111111111111-1-1-111111-1-1-1-1111111-1-1-1-1-1-11-1-1-111-1111-1-1-1-11-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1-1-11-111
χ5111111111111111111111111-1-1111111111111111111-1-1111-1-1-1-1-11111111111-1-1-1-1-1-1-1111-1-11-1-1-111-11-1-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-1111111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-111-1-1111
χ7111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111-1-1
χ9111111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1-111-1-1-1-1-11-1-11111-1-1-1-111-1-11
χ10111111111111111111-1-111111111-11-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-111111-1-1-1-11-111-1-111-1-1-1-11-111-1
χ11111111111111111111-1-1111111-1-11-111-1-111-1-1-1-1-1-1-1-11111-1111-1-111-1-1111-1-1-1-1-11111-1-11111-11-1-111-1-1-11-1
χ12111111111111111111-1-1111111-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1111-1-1111111-1-1-1-1-11-1-111-111-11
χ13111111111111111111-1-11111-1-1111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111111-1-1-1-1-1111111-1-1-1-11-111-1-1-1111-1
χ14111111111111111111-1-11111-1-111-11-1-11111-1-1-1-1-1-1-1-111111-1-1-111-1-111-1-1-1111-1-11111-1-111111-111-1-1-1-1-1-11
χ15111111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111-1-1-111-1-1-1-11-111-1-1-1-111111-11-11
χ16111111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-11-1-111-1-1111111-11-1
χ17222222-2-2222222222200-2-2-2-22222000000-2-2000000000000-2-222000022000000220000000000-2-20000-20000
χ18222222-2-2222222222200-2-2-2-222-2-2000000-2-20000000000002-2220000-2-2000000-2-200000000002-2000020000
χ19222222-2-2222222222200-2-2-2-2-2-222000000-2-2000000000000-22-2-2000022000000-2-20000000000-22000020000
χ20222222-2-2222222222200-2-2-2-2-2-2-2-2000000-2-200000000000022-2-20000-2-2000000220000000000220000-20000
χ2122222-122-12-12-12-1-1-1-1222-1-12220022-1-122-1-1-1-122-1-1-1-1220002-1-12200002-1-1-1-1-10000002000-1-10-1-1-10000-100
χ2222222-122-12-12-12-1-1-1-1222-1-122200-2-211-2-2-1-1-1-122-1-1-1-1-2-20002-1-1220000-211111000000-2000110-1-1-10000100
χ2322222-122-12-12-12-1-1-1-1222-1-12-2-20022-1-122-1-1-1-122-1-1-1-1-2-2000-211-2-200002-1-1-1-1-1000000-20001101110000100
χ2422222-122-12-12-12-1-1-1-1222-1-12-2-200-2-211-2-2-1-1-1-122-1-1-1-122000-211-2-20000-2111110000002000-1-101110000-100
χ2522222-122-12-12-12-1-1-1-1-2-22-1-1222002-2-1-1-2-2-1-111-2-21111220002-1-1-2-200002-1-1111000000-2000-1-10-1110000100
χ2622222-122-12-12-12-1-1-1-1-2-22-1-122200-221122-1-111-2-21111-2-20002-1-1-2-20000-211-1-1-10000002000110-1110000-100
χ2722222-122-12-12-12-1-1-1-1-2-22-1-12-2-2002-2-1-1-2-2-1-111-2-21111-2-2000-2112200002-1-111100000020001101-1-10000-100
χ2822222-122-12-12-12-1-1-1-1-2-22-1-12-2-200-221122-1-111-2-2111122000-211220000-211-1-1-1000000-2000-1-101-1-10000100
χ292222-12222-12-12-1-1-1-1-122-122-100222222-1-1-1-122-1-1-1-1-1-1002220000022-1-1-1-1-12-1-100000002-1-100-1000-1-10-1000
χ302222-12222-12-12-1-1-1-1-122-122-10022-2-2-2-211-1-122-1-1-1-1-1-100-2-220000022-1-1111-2110000000-21100-1000-1-101000
χ312222-12222-12-12-1-1-1-1-122-122-100-2-22222-1-1-1-122-1-1-1-1-1-100-2-2-200000-2-211-1-1-12-1-10000000-2110010001101000
χ322222-12222-12-12-1-1-1-1-122-122-100-2-2-2-2-2-211-1-122-1-1-1-1-1-10022-200000-2-211111-21100000002-1-1001000110-1000
χ332222-12222-12-12-1-1-1-1-1-2-2-122-100222-22211-1-1-2-211111100-2-2200000-2-2-1-1-1-1-1-211000000021100-1000110-1000
χ342222-12222-12-12-1-1-1-1-1-2-2-122-10022-22-2-2-1-1-1-1-2-21111110022200000-2-2-1-11112-1-10000000-2-1-100-10001101000
χ352222-12222-12-12-1-1-1-1-1-2-2-122-100-2-22-22211-1-1-2-21111110022-2000002211-1-1-1-2110000000-2-1-1001000-1-101000
χ362222-12222-12-12-1-1-1-1-1-2-2-122-100-2-2-22-2-2-1-1-1-1-2-211111100-2-2-20000022111112-1-10000000211001000-1-10-1000
χ372-22-222-22-22-2-22-22-22-200-22-220000000000-22000000002-22-200000000000000000022-2-2002-22-200000000000
χ382-22-222-22-22-2-22-22-22-200-22-220000000000-22000000002-2-22000000000000000000-2-22200-222-200000000000
χ392-22-222-22-22-2-22-22-22-200-22-220000000000-2200000000-222-2000000000000000000-2-222002-2-2200000000000
χ402-22-222-22-22-2-22-22-22-200-22-220000000000-2200000000-22-2200000000000000000022-2-200-22-2200000000000
χ412-2-222200-2-22-2-222-2-222−200002-22-2000000002−22−222−2−20000002-22−22−22-20000002-22−22−2000000002−22−200000
χ422-2-222200-2-22-2-222-2-222−200002-2-22000000002−22−222−2−20000002-22−2−22-22000000-22−22−22000000002−2−2200000
χ432-2-222200-2-22-2-222-2-222−20000-222-2000000002−22−222−2−2000000-22−222−22-2000000-22−22−2200000000−222−200000
χ442-2-222200-2-22-2-222-2-222−20000-22-22000000002−22−222−2−2000000-22−22−22-220000002-22−22−200000000−22−2200000
χ452-2-222200-2-22-2-222-2-22−2200002-22-200000000−22−22−2−2220000002-2−22−222-20000002-2−22−2200000000−22−2200000
χ462-2-222200-2-22-2-222-2-22−2200002-2-2200000000−22−22−2−2220000002-2−222−2-22000000-222−22−200000000−222−200000
χ472-2-222200-2-22-2-222-2-22−220000-222-200000000−22−22−2−222000000-222−2−222-2000000-222−22−2000000002−2−2200000
χ482-2-222200-2-22-2-222-2-22−220000-22-2200000000−22−22−2−222000000-222−22−2-220000002-2−22−22000000002−22−200000
χ4944444-2-4-4-24-24-24-2-2-2-200-422-44400000000220000000000000-4-2-200000000000000000000000002000000000
χ5044444-2-4-4-24-24-24-2-2-2-200-422-4-4-4000000002200000000000004220000000000000000000000000-2000000000
χ514444-24-4-44-24-24-2-2-2-2-2002-4-42004400000022000000000000-40000000-2-200000000000000000020000000000
χ524444-24-4-44-24-24-2-2-2-2-2002-4-4200-4-4000000220000000000004000000022000000000000000000-20000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2000044-2-2-2-211-2-2-2-2111100000000000000-211-21100000000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-20000-4-4222211-2-2-2-21111000000000000002-1-12-1-100000000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-200004-4-2-222112222-1-1-1-100000000000000-2112-1-100000000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-20000-4422-2-2112222-1-1-1-1000000000000002-1-1-21100000000000000000000000
χ5744-4-444004-4-44-4-444-4-400000000000000000000000000000000000000000000000022−22−222200000000000000000
χ5844-4-444004-4-44-4-444-4-4000000000000000000000000000000000000000000000000−222222−2200000000000000000
χ594-44-4444-4-44-4-44-44-44-4004-44-400000000004-4000000000000000000000000000000000000000000000000000
χ604-44-44-24-4242-4-2-4-22-220042-2-4000000−2i32i300-2200000000000000000000000−2i32i300000000000000000000000000
χ614-44-44-24-4242-4-2-4-22-220042-2-40000002i3−2i300-22000000000000000000000002i3−2i300000000000000000000000000
χ624-44-44-2-44242-4-2-4-22-2200-4-22400000000002-2000000004-40000000000000000000000000000-2200000000000
χ634-44-44-2-44242-4-2-4-22-2200-4-22400000000002-200000000-4400000000000000000000000000002-200000000000
χ644-44-4-244-4-4-2-4242-22-2200-2-4420000000023−23-220000000000000000000000000023−2300000000000000000000000
χ654-44-4-244-4-4-2-4242-22-2200-2-44200000000−2323-2200000000000000000000000000−232300000000000000000000000
χ664-44-4-24-44-4-2-4242-22-220024-4-200000000002-200000000004-4000000000000000000000000-220000000000000
χ674-44-4-24-44-4-2-4242-22-220024-4-200000000002-20000000000-440000000000000000000000002-20000000000000
χ684-44-4-2-24-42-222-221-11-100-22-22000000−2i32i323−231-100003i−3i3i−3i000000000000000i3−i30−3300000000000000000000000
χ694-44-4-2-24-42-222-221-11-100-22-22000000−2i32i3−23231-10000−3i3i−3i3i000000000000000i3−i303−300000000000000000000000
χ704-44-4-2-24-42-222-221-11-100-22-220000002i3−2i323−231-10000−3i3i−3i3i000000000000000−i3i30−3300000000000000000000000
χ714-44-4-2-24-42-222-221-11-100-22-220000002i3−2i3−23231-100003i−3i3i−3i000000000000000−i3i303−300000000000000000000000
χ724-4-444-2002-4-2-424-222-222−2200004-40000000000−2222−22−2−222000000-2222−22000000000000000000000000−220000000
χ734-4-444-2002-4-2-424-222-222−220000-440000000000−2222−22−2−2220000002-2−22220000000000000000000000002−20000000
χ744-4-444-2002-4-2-424-222-2−222200004-400000000002−2−222222−2−2000000-22−22220000000000000000000000002−20000000
χ754-4-444-2002-4-2-424-222-2−22220000-4400000000002−2−222222−2−20000002-222−22000000000000000000000000−220000000
χ764-4-44-2400-4242-4-2-222-222−220000004-40000000022−22−22−2−222000000000022−22-220000000000000000000000−2200000
χ774-4-44-2400-4242-4-2-222-222−22000000-440000000022−22−22−2−2220000000000−22222-200000000000000000000002−200000
χ784-4-44-2400-4242-4-2-222-2−22220000004-400000000−22222−222−2−20000000000−2222-2200000000000000000000002−200000
χ794-4-44-2400-4242-4-2-222-2−2222000000-4400000000−22222−222−2−2000000000022−222-20000000000000000000000−2200000
χ808888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000000
χ8188-8-88-400-4-8484-8-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-480084-8-4-84-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ8388-8-8-4-400-444-44422-2-20000000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000000
χ8488-8-8-4-400-444-44422-2-200000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000000
χ858-88-8-4-4-884-444-442-22-2004-44-40000000000-22000000000000000000000000000000000000000000000000000
χ868-8-88-4-40044-444-42-2-2242−420000000000000000−2222−222222−2−20000000000000000000000000000000000000000000
χ878-8-88-4-40044-444-42-2-22−4242000000000000000022−2222−22−2−2220000000000000000000000000000000000000000000

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