Finite Group Databasebeta

← Group #11859881

Character table — Group #11859881

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1122222444446666888889912121212121218242436112222244444666688888991212121212121824243611222224444466668888899121212121212182424361122222444446666888889912121212121218242436
order12334662361212888866661222442424242441212244121241212412121212888812121212124444242424244121242266466266121288886666122244242424244121224412124121241212121288881212121212444424242424412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-111111-1-11-111-1-1-11-1-111111111111111-1-111111-1-11-111-1-1-11-1-111111111111111-1-111111-1-11-111-1-1-11-1-111111111111111-1-111111-1-11-111-1-1-11-1-1
χ3111111111111-1-11111111-1-1-11-1-111-1-11-1111111111111-1-11111111-1-1-11-1-111-1-11-1111111111111-1-11111111-1-1-11-1-111-1-11-1111111111111-1-11111111-1-1-11-1-111-1-11-1
χ4111111111111-1-1-1-11111111-1-1-1-1-1-11-1-11111111111111-1-1-1-11111111-1-1-1-1-1-11-1-11111111111111-1-1-1-11111111-1-1-1-1-1-11-1-11111111111111-1-1-1-11111111-1-1-1-1-1-11-1-11
χ51111111-111111111-1-1-1-1111-1-111111-1-1-11111111-111111111-1-1-1-1111-1-111111-1-1-11111111-111111111-1-1-1-1111-1-111111-1-1-11111111-111111111-1-1-1-1111-1-111111-1-1-1
χ61111111-1111111-1-1-1-1-1-11-1-1-1111-1-1-1-1111111111-1111111-1-1-1-1-1-11-1-1-1111-1-1-1-1111111111-1111111-1-1-1-1-1-11-1-1-1111-1-1-1-1111111111-1111111-1-1-1-1-1-11-1-1-1111-1-1-1-111
χ71111111-11111-1-111-1-1-1-11-1-11-1-1-111-11-111111111-11111-1-111-1-1-1-11-1-11-1-1-111-11-111111111-11111-1-111-1-1-1-11-1-11-1-1-111-11-111111111-11111-1-111-1-1-1-11-1-11-1-1-111-11-11
χ81111111-11111-1-1-1-1-1-1-1-111111-1-1-1-1111-11111111-11111-1-1-1-1-1-1-1-111111-1-1-1-1111-11111111-11111-1-1-1-1-1-1-1-111111-1-1-1-1111-11111111-11111-1-1-1-1-1-1-1-111111-1-1-1-1111-1
χ92222-222022-2-200000000-222000000-20002222-222022-2-200000000-222000000-20002222-222022-2-200000000-222000000-20002222-222022-2-200000000-222000000-2000
χ102222-222022-2-200000000-2-2-200000020002222-222022-2-200000000-2-2-200000020002222-222022-2-200000000-2-2-200000020002222-222022-2-200000000-2-2-20000002000
χ11222-122-12-1-12-100222-1-1-1-1000200-1-100-10222-122-12-1-12-100222-1-1-1-1000200-1-100-10222-122-12-1-12-100222-1-1-1-1000200-1-100-10222-122-12-1-12-100222-1-1-1-1000200-1-100-10
χ12222-122-12-1-12-100-2-22-1-1-1-1000-200110010222-122-12-1-12-100-2-22-1-1-1-1000-200110010222-122-12-1-12-100-2-22-1-1-1-1000-200110010222-122-12-1-12-100-2-22-1-1-1-1000-200110010
χ13222-122-1-2-1-12-10022-2111-1000-200-1-10010222-122-1-2-1-12-10022-2111-1000-200-1-10010222-122-1-2-1-12-10022-2111-1000-200-1-10010222-122-1-2-1-12-10022-2111-1000-200-1-10010
χ14222-122-1-2-1-12-100-2-2-2111-10002001100-10222-122-1-2-1-12-100-2-2-2111-10002001100-10222-122-1-2-1-12-100-2-2-2111-10002001100-10222-122-1-2-1-12-100-2-2-2111-10002001100-10
χ1522-122-122-1-1-122200-12-1-1-10020-1-1000-10022-122-122-1-1-122200-12-1-1-10020-1-1000-10022-122-122-1-1-122200-12-1-1-10020-1-1000-10022-122-122-1-1-122200-12-1-1-10020-1-1000-100
χ1622-122-122-1-1-12-2-200-12-1-1-100-201100010022-122-122-1-1-12-2-200-12-1-1-100-201100010022-122-122-1-1-12-2-200-12-1-1-100-201100010022-122-122-1-1-12-2-200-12-1-1-100-2011000100
χ1722-122-12-2-1-1-1222001-211-100-20-1-100010022-122-12-2-1-1-1222001-211-100-20-1-100010022-122-12-2-1-1-1222001-211-100-20-1-100010022-122-12-2-1-1-1222001-211-100-20-1-1000100
χ1822-122-12-2-1-1-12-2-2001-211-1002011000-10022-122-12-2-1-1-12-2-2001-211-1002011000-10022-122-12-2-1-1-12-2-2001-211-1002011000-10022-122-12-2-1-1-12-2-2001-211-1002011000-100
χ192-2220-2-202-200i2−i2i2−i2000002-200i2−i2i2−i200002-2220-2-202-200i2−i2i2−i2000002-200i2−i2i2−i200002-2220-2-202-200i2−i2i2−i2000002-200i2−i2i2−i200002-2220-2-202-200i2−i2i2−i2000002-200i2−i2i2−i20000
χ202-2220-2-202-200i2−i2−i2i200000-2200i2−i2−i2i200002-2220-2-202-200i2−i2−i2i200000-2200i2−i2−i2i200002-2220-2-202-200i2−i2−i2i200000-2200i2−i2−i2i200002-2220-2-202-200i2−i2−i2i200000-2200i2−i2−i2i20000
χ212-2220-2-202-200−i2i2i2−i200000-2200−i2i2i2−i200002-2220-2-202-200−i2i2i2−i200000-2200−i2i2i2−i200002-2220-2-202-200−i2i2i2−i200000-2200−i2i2i2−i200002-2220-2-202-200−i2i2i2−i200000-2200−i2i2i2−i20000
χ222-2220-2-202-200−i2i2−i2i2000002-200−i2i2−i2i200002-2220-2-202-200−i2i2−i2i2000002-200−i2i2−i2i200002-2220-2-202-200−i2i2−i2i2000002-200−i2i2−i2i200002-2220-2-202-200−i2i2−i2i2000002-200−i2i2−i2i20000
χ23444-2-44-20-2-2-42000000002000000000000444-2-44-20-2-2-42000000002000000000000444-2-44-20-2-2-42000000002000000000000444-2-44-20-2-2-42000000002000000000000
χ2444-24-4-240-2-22-400000000200000000000044-24-4-240-2-22-400000000200000000000044-24-4-240-2-22-400000000200000000000044-24-4-240-2-22-4000000002000000000000
χ2544-2-24-2-2411-2-20000-2-211100000000000044-2-24-2-2411-2-20000-2-211100000000000044-2-24-2-2411-2-20000-2-211100000000000044-2-24-2-2411-2-20000-2-2111000000000000
χ2644-2-24-2-2-411-2-2000022-1-1100000000000044-2-24-2-2-411-2-2000022-1-1100000000000044-2-24-2-2-411-2-2000022-1-1100000000000044-2-24-2-2-411-2-2000022-1-11000000000000
χ2744-2-2-4-2-2011220000003-3-100000000000044-2-2-4-2-2011220000003-3-100000000000044-2-2-4-2-2011220000003-3-100000000000044-2-2-4-2-2011220000003-3-1000000000000
χ2844-2-2-4-2-201122000000-33-100000000000044-2-2-4-2-201122000000-33-100000000000044-2-2-4-2-201122000000-33-100000000000044-2-2-4-2-201122000000-33-1000000000000
χ294-44-20-420-2200002i2−2i200000000000−i2i200004-44-20-420-2200002i2−2i200000000000−i2i200004-44-20-420-2200002i2−2i200000000000−i2i200004-44-20-420-2200002i2−2i200000000000−i2i20000
χ304-44-20-420-220000−2i22i200000000000i2−i200004-44-20-420-220000−2i22i200000000000i2−i200004-44-20-420-220000−2i22i200000000000i2−i200004-44-20-420-220000−2i22i200000000000i2−i20000
χ314-4-2402-40-22002i2−2i200000000000−i2i20000004-4-2402-40-22002i2−2i200000000000−i2i20000004-4-2402-40-22002i2−2i200000000000−i2i20000004-4-2402-40-22002i2−2i200000000000−i2i2000000
χ324-4-2402-40-2200−2i22i200000000000i2−i20000004-4-2402-40-2200−2i22i200000000000i2−i20000004-4-2402-40-2200−2i22i200000000000i2−i20000004-4-2402-40-2200−2i22i200000000000i2−i2000000
χ338-8-4-404402-2000000000000000000000008-8-4-404402-2000000000000000000000008-8-4-404402-2000000000000000000000008-8-4-404402-200000000000000000000000
χ34111111111111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ3511111111111111-1-111111-1-11-111-1-1-11-1-1iiiiiiiiiiiiii−i−iiiiii−i−ii−iii−i−i−ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-11-1-1111-111−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−i−i−i−iii−ii−i−iiii−iii
χ36111111111111-1-11111111-1-1-11-1-111-1-11-1iiiiiiiiiiii−i−iiiiiiii−i−i−ii−i−iii−i−ii−i-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-111-1-111-11−i−i−i−i−i−i−i−i−i−i−i−iii−i−i−i−i−i−i−iiii−iii−i−iii−ii
χ37111111111111-1-1-1-11111111-1-1-1-1-1-11-1-11iiiiiiiiiiii−i−i−i−iiiiiiii−i−i−i−i−i−ii−i−ii-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-111-1−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i−i−i−iiiiiii−iii−i
χ381111111-111111111-1-1-1-1111-1-111111-1-1-1iiiiiii−iiiiiiiii−i−i−i−iiii−i−iiiiii−i−i−i-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1111−i−i−i−i−i−i−ii−i−i−i−i−i−i−i−iiiii−i−i−iii−i−i−i−i−iiii
χ391111111-1111111-1-1-1-1-1-11-1-1-1111-1-1-1-111iiiiiii−iiiiiii−i−i−i−i−i−ii−i−i−iiii−i−i−i−iii-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1111-1-1-11111-1-1−i−i−i−i−i−i−ii−i−i−i−i−i−iiiiiii−iiii−i−i−iiiii−i−i
χ401111111-11111-1-111-1-1-1-11-1-11-1-1-111-11-11iiiiiii−iiiii−i−iii−i−i−i−ii−i−ii−i−i−iii−ii−ii-1-1-1-1-1-1-11-1-1-1-111-1-11111-111-1111-1-11-11-1−i−i−i−i−i−i−ii−i−i−i−iii−i−iiiii−iii−iiii−i−ii−ii−i
χ411111111-11111-1-1-1-1-1-1-1-111111-1-1-1-1111-1iiiiiii−iiiii−i−i−i−i−i−i−i−iiiiii−i−i−i−iiii−i-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-11111-1-1-11−i−i−i−i−i−i−ii−i−i−i−iiiiiiiii−i−i−i−i−iiiii−i−i−ii
χ422222-222022-2-200000000-222000000-20002i2i2i2i−2i2i2i02i2i−2i−2i00000000−2i2i2i000000−2i000-2-2-2-22-2-20-2-222000000002-2-20000002000−2i−2i−2i−2i2i−2i−2i0−2i−2i2i2i000000002i−2i−2i0000002i000
χ432222-222022-2-200000000-2-2-200000020002i2i2i2i−2i2i2i02i2i−2i−2i00000000−2i−2i−2i0000002i000-2-2-2-22-2-20-2-22200000000222000000-2000−2i−2i−2i−2i2i−2i−2i0−2i−2i2i2i000000002i2i2i000000−2i000
χ44222-122-12-1-12-100222-1-1-1-1000200-1-100-102i2i2i−i2i2i−i2i−i−i2i−i002i2i2i−i−i−i−i0002i00−i−i00−i0-2-2-21-2-21-211-2100-2-2-21111000-200110010−2i−2i−2ii−2i−2ii−2iii−2ii00−2i−2i−2iiiii000−2i00ii00i0
χ45222-122-12-1-12-100-2-22-1-1-1-1000-2001100102i2i2i−i2i2i−i2i−i−i2i−i00−2i−2i2i−i−i−i−i000−2i00ii00i0-2-2-21-2-21-211-210022-21111000200-1-100-10−2i−2i−2ii−2i−2ii−2iii−2ii002i2i−2iiiii0002i00−i−i00−i0
χ46222-122-1-2-1-12-10022-2111-1000-200-1-100102i2i2i−i2i2i−i−2i−i−i2i−i002i2i−2iiii−i000−2i00−i−i00i0-2-2-21-2-21211-2100-2-22-1-1-110002001100-10−2i−2i−2ii−2i−2ii2iii−2ii00−2i−2i2i−i−i−ii0002i00ii00−i0
χ47222-122-1-2-1-12-100-2-2-2111-10002001100-102i2i2i−i2i2i−i−2i−i−i2i−i00−2i−2i−2iiii−i0002i00ii00−i0-2-2-21-2-21211-2100222-1-1-11000-200-1-10010−2i−2i−2ii−2i−2ii2iii−2ii002i2i2i−i−i−ii000−2i00−i−i00i0
χ4822-122-122-1-1-122200-12-1-1-10020-1-1000-1002i2i−i2i2i−i2i2i−i−i−i2i2i2i00−i2i−i−i−i002i0−i−i000−i00-2-21-2-21-2-2111-2-2-2001-211100-2011000100−2i−2ii−2i−2ii−2i−2iiii−2i−2i−2i00i−2iiii00−2i0ii000i00
χ4922-122-122-1-1-12-2-200-12-1-1-100-20110001002i2i−i2i2i−i2i2i−i−i−i2i−2i−2i00−i2i−i−i−i00−2i0ii000i00-2-21-2-21-2-2111-222001-21110020-1-1000-100−2i−2ii−2i−2ii−2i−2iiii−2i2i2i00i−2iiii002i0−i−i000−i00
χ5022-122-12-2-1-1-1222001-211-100-20-1-10001002i2i−i2i2i−i2i−2i−i−i−i2i2i2i00i−2iii−i00−2i0−i−i000i00-2-21-2-21-22111-2-2-200-12-1-11002011000-100−2i−2ii−2i−2ii−2i2iiii−2i−2i−2i00−i2i−i−ii002i0ii000−i00
χ5122-122-12-2-1-1-12-2-2001-211-1002011000-1002i2i−i2i2i−i2i−2i−i−i−i2i−2i−2i00i−2iii−i002i0ii000−i00-2-21-2-21-22111-22200-12-1-1100-20-1-1000100−2i−2ii−2i−2ii−2i2iiii−2i2i2i00−i2i−i−ii00−2i0−i−i000i00
χ522-2220-2-202-200i2−i2i2−i2000002-200i2−i2i2−i200002i−2i2i2i0−2i−2i02i−2i00−22−22000002i−2i00−22−220000-22-2-20220-2200−i2i2−i2i200000-2200−i2i2−i2i20000−2i2i−2i−2i02i2i0−2i2i002−22−200000−2i2i002−22−20000
χ532-2220-2-202-200i2−i2−i2i200000-2200i2−i2−i2i200002i−2i2i2i0−2i−2i02i−2i00−222−200000−2i2i00−222−20000-22-2-20220-2200−i2i2i2−i2000002-200−i2i2i2−i20000−2i2i−2i−2i02i2i0−2i2i002−2−22000002i−2i002−2−220000
χ542-2220-2-202-200−i2i2i2−i200000-2200−i2i2i2−i200002i−2i2i2i0−2i−2i02i−2i002−2−2200000−2i2i002−2−220000-22-2-20220-2200i2−i2−i2i2000002-200i2−i2−i2i20000−2i2i−2i−2i02i2i0−2i2i00−222−2000002i−2i00−222−20000
χ552-2220-2-202-200−i2i2−i2i2000002-200−i2i2−i2i200002i−2i2i2i0−2i−2i02i−2i002−22−2000002i−2i002−22−20000-22-2-20220-2200i2−i2i2−i200000-2200i2−i2i2−i20000−2i2i−2i−2i02i2i0−2i2i00−22−2200000−2i2i00−22−220000
χ56444-2-44-20-2-2-420000000020000000000004i4i4i−2i−4i4i−2i0−2i−2i−4i2i000000002i000000000000-4-4-424-420224-200000000-2000000000000−4i−4i−4i2i4i−4i2i02i2i4i−2i00000000−2i000000000000
χ5744-24-4-240-2-22-40000000020000000000004i4i−2i4i−4i−2i4i0−2i−2i2i−4i000000002i000000000000-4-42-442-4022-2400000000-2000000000000−4i−4i2i−4i4i2i−4i02i2i−2i4i00000000−2i000000000000
χ5844-2-24-2-2411-2-20000-2-21110000000000004i4i−2i−2i4i−2i−2i4iii−2i−2i0000−2i−2iiii000000000000-4-422-422-4-1-122000022-1-1-1000000000000−4i−4i2i2i−4i2i2i−4i−i−i2i2i00002i2i−i−i−i000000000000
χ5944-2-24-2-2-411-2-2000022-1-110000000000004i4i−2i−2i4i−2i−2i−4iii−2i−2i00002i2i−i−ii000000000000-4-422-4224-1-1220000-2-211-1000000000000−4i−4i2i2i−4i2i2i4i−i−i2i2i0000−2i−2iii−i000000000000
χ6044-2-2-4-2-2011220000003-3-10000000000004i4i−2i−2i−4i−2i−2i0ii2i2i0000003i−3i−i000000000000-4-4224220-1-1-2-2000000-331000000000000−4i−4i2i2i4i2i2i0−i−i−2i−2i000000−3i3ii000000000000
χ6144-2-2-4-2-201122000000-33-10000000000004i4i−2i−2i−4i−2i−2i0ii2i2i000000−3i3i−i000000000000-4-4224220-1-1-2-20000003-31000000000000−4i−4i2i2i4i2i2i0−i−i−2i−2i0000003i−3ii000000000000
χ624-44-20-420-2200002i2−2i200000000000−i2i200004i−4i4i−2i0−4i2i0−2i2i0000−2222000000000002−20000-44-4204-202-20000−2i22i200000000000i2−i20000−4i4i−4i2i04i−2i02i−2i000022−2200000000000−220000
χ634-44-20-420-220000−2i22i200000000000i2−i200004i−4i4i−2i0−4i2i0−2i2i000022−2200000000000−220000-44-4204-202-200002i2−2i200000000000−i2i20000−4i4i−4i2i04i−2i02i−2i0000−2222000000000002−20000
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χ1284-44-20-420-2200002i2−2i200000000000−i2i20000−4i4i−4i2i04i−2i02i−2i000022−2200000000000−220000-44-4204-202-20000−2i22i200000000000i2−i200004i−4i4i−2i0−4i2i0−2i2i0000−2222000000000002−20000
χ1294-44-20-420-220000−2i22i200000000000i2−i20000−4i4i−4i2i04i−2i02i−2i0000−2222000000000002−20000-44-4204-202-200002i2−2i200000000000−i2i200004i−4i4i−2i0−4i2i0−2i2i000022−2200000000000−220000
χ1304-4-2402-40-22002i2−2i200000000000−i2i2000000−4i4i2i−4i0−2i4i02i−2i0022−2200000000000−22000000-442-40-2402-200−2i22i200000000000i2−i20000004i−4i−2i4i02i−4i0−2i2i00−2222000000000002−2000000
χ1314-4-2402-40-2200−2i22i200000000000i2−i2000000−4i4i2i−4i0−2i4i02i−2i00−2222000000000002−2000000-442-40-2402-2002i2−2i200000000000−i2i20000004i−4i−2i4i02i−4i0−2i2i0022−2200000000000−22000000
χ1328-8-4-404402-200000000000000000000000−8i8i4i4i0−4i−4i0−2i2i00000000000000000000000-88440-4-40-22000000000000000000000008i−8i−4i−4i04i4i02i−2i00000000000000000000000

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