Finite Group Databasebeta

← Group #11860495

Character table — Group #11860495

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222224444444444444466666666888888888888888888121212121212121212121212121212121212121216161616181818181818181824242424242424242424242436363636
order12223344666666223446668812121212444444446666121212121212242424242424242422444444888812121212121212126612122244888866121212121212242424242244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-11111111111111111111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-111111111111111111111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111-1-1111-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111
χ711111111111111111-1-1111-1-11111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ811111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ911111111111111-1-1111111-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ1011111111111111-1-1111111-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-1
χ1111111111111111-1-1111111-1-11111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-1-1-11111-1-11111-1-111-1-111-1-1
χ1211111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111
χ1311111111111111-1-11-1-111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ1411111111111111-1-11-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111
χ1511111111111111-1-11-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111
χ1611111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ171-11-1111-11-1-11-1-11-11i−i-11-1i−i-1-111i−ii−ii−ii−i1-11-1i−ii−i1-1ii−i−iii−i−i1-1i−i1-1i−i1-11-1i−ii−ii−ii−i1-1i−i1-11-1ii−i−i1-11-1i−ii−i1-11-11-1i−i
χ181-11-1111-11-1-11-1-11-11i−i-11-1i−i-1-111i−i−iii−i−ii1-11-1i−ii−i1-1ii−i−iii−i−i1-1i−i-11−ii1-1-11−iii−ii−i−ii1-1i−i-11-11−i−iii1-1-11i−i−ii1-1-11-11−ii
χ191-11-1111-11-1-11-1-11-11i−i-11-1i−i-1-111−iii−i−iii−i1-11-1i−ii−i1-1ii−i−iii−i−i-11−ii1-1i−i-111-1i−i−ii−iii−i1-1i−i-11-11−i−iii-111-1−iii−i-111-1-11−ii
χ201-11-1111-11-1-11-1-11-11i−i-11-1i−i-1-111−ii−ii−ii−ii1-11-1i−ii−i1-1ii−i−iii−i−i-11−ii-11−ii-11-11−ii−ii−ii−ii1-1i−i1-11-1ii−i−i-11-11−ii−ii-11-111-1i−i
χ211-11-1111-11-1-11-1-11-11−ii-11-1−ii-1-111i−ii−ii−ii−i1-11-1−ii−ii1-1−i−iii−i−iii-11i−i-11i−i-11-11i−ii−ii−ii−i1-1−ii1-11-1−i−iii-11-11i−ii−i-11-111-1−ii
χ221-11-1111-11-1-11-1-11-11−ii-11-1−ii-1-111i−i−iii−i−ii1-11-1−ii−ii1-1−i−iii−i−iii-11i−i1-1−ii-111-1−iii−ii−i−ii1-1−ii-11-11ii−i−i-111-1i−i−ii-111-1-11i−i
χ231-11-1111-11-1-11-1-11-11−ii-11-1−ii-1-111−iii−i−iii−i1-11-1−ii−ii1-1−i−iii−i−iii1-1−ii-11i−i1-1-11i−i−ii−iii−i1-1−ii-11-11ii−i−i1-1-11−iii−i1-1-11-11i−i
χ241-11-1111-11-1-11-1-11-11−ii-11-1−ii-1-111−ii−ii−ii−ii1-11-1−ii−ii1-1−i−iii−i−iii1-1−ii1-1−ii1-11-1−ii−ii−ii−ii1-1−ii1-11-1−i−iii1-11-1−ii−ii1-11-11-1−ii
χ251-11-1111-11-1-11-1-1-111i−i-11-1−ii-1-111i−ii−ii−ii−i-11-11i−ii−i1-1−i−iii−i−iii1-1−ii1-1−ii-11-11i−ii−ii−ii−i-11i−i1-11-1−i−iii1-11-1−ii−ii-11-11-11i−i
χ261-11-1111-11-1-11-1-1-111i−i-11-1−ii-1-111i−i−iii−i−ii-11-11i−ii−i1-1−i−iii−i−iii1-1−ii-11i−i-111-1−iii−ii−i−ii-11i−i-11-11ii−i−i1-1-11−iii−i-111-11-1−ii
χ271-11-1111-11-1-11-1-1-111i−i-11-1−ii-1-111−iii−i−iii−i-11-11i−ii−i1-1−i−iii−i−iii-11i−i1-1−ii1-1-11i−i−ii−iii−i-11i−i-11-11ii−i−i-111-1i−i−ii1-1-111-1−ii
χ281-11-1111-11-1-11-1-1-111i−i-11-1−ii-1-111−ii−ii−ii−ii-11-11i−ii−i1-1−i−iii−i−iii-11i−i-11i−i1-11-1−ii−ii−ii−ii-11i−i1-11-1−i−iii-11-11i−ii−i1-11-1-11i−i
χ291-11-1111-11-1-11-1-1-111−ii-11-1i−i-1-111i−ii−ii−ii−i-11-11−ii−ii1-1ii−i−iii−i−i-11−ii-11−ii1-11-1i−ii−ii−ii−i-11−ii1-11-1ii−i−i-11-11−ii−ii1-11-1-11−ii
χ301-11-1111-11-1-11-1-1-111−ii-11-1i−i-1-111i−i−iii−i−ii-11-11−ii−ii1-1ii−i−iii−i−i-11−ii1-1i−i1-1-11−iii−ii−i−ii-11−ii-11-11−i−iii-111-1−iii−i1-1-111-1i−i
χ311-11-1111-11-1-11-1-1-111−ii-11-1i−i-1-111−iii−i−iii−i-11-11−ii−ii1-1ii−i−iii−i−i1-1i−i-11−ii-111-1i−i−ii−iii−i-11−ii-11-11−i−iii1-1-11i−i−ii-111-11-1i−i
χ321-11-1111-11-1-11-1-1-111−ii-11-1i−i-1-111−ii−ii−ii−ii-11-11−ii−ii1-1ii−i−iii−i−i1-1i−i1-1i−i-11-11−ii−ii−ii−ii-11−ii1-11-1ii−i−i1-11-1i−ii−i-11-11-11−ii
χ33222222-2-22222220020022200-2-2-2-22222-2-2-2-200000000-2-20000000000000000000022-2-222-2-20000-2-22200000000000000000000
χ34222222-2-22222220020022200-2-2-2-222-2-2-2-22200000000-2-200000000000000000000-2-2-2-22222000022-2-200000000000000000000
χ35222222-2-22222220020022200-2-2-2-2-2-22222-2-200000000-2-2000000000000000000002222-2-2-2-2000022-2-200000000000000000000
χ36222222-2-22222220020022200-2-2-2-2-2-2-2-2222200000000-2-200000000000000000000-2-222-2-2220000-2-22200000000000000000000
χ3722222-122-12-12-1222-122-1-1-122-12-122200220022-1-1-1-122-1-12-12-1-1-1-1-122220000220000-1-1-1-100-1-1-1-100000000-1-100-1-100-1-1000000
χ3822222-122-12-12-1222-122-1-1-122-12-12-2-200-2-20022-1-1-1-122-1-12-12-1-1-1-1-1-2-2-2-20000-2-20000111100-1-1-1-1000000001100110011000000
χ3922222-122-12-12-1222-1-2-2-1-1-1-2-2-12-122200220022-1-111-2-2-1-1-21-211111-2-2220000-2-20000-1-1-1-100-1-111000000001100-1-10011000000
χ4022222-122-12-12-1222-1-2-2-1-1-1-2-2-12-12-2-200-2-20022-1-111-2-2-1-1-21-21111122-2-20000220000111100-1-11100000000-1-1001100-1-1000000
χ4122222-122-12-12-12-2-2-122-1-1-1-2-2-12-1222002200-2-211-1-122-1-1-21-21111122-2-20000-2-20000-1-1-1-10011-1-100000000-1-100110011000000
χ4222222-122-12-12-12-2-2-122-1-1-1-2-2-12-12-2-200-2-200-2-211-1-122-1-1-21-211111-2-222000022000011110011-1-1000000001100-1-100-1-1000000
χ4322222-122-12-12-12-2-2-1-2-2-1-1-122-12-1222002200-2-21111-2-2-1-12-12-1-1-1-1-1-2-2-2-20000220000-1-1-1-10011110000000011001100-1-1000000
χ4422222-122-12-12-12-2-2-1-2-2-1-1-122-12-12-2-200-2-200-2-21111-2-2-1-12-12-1-1-1-1-122220000-2-20000111100111100000000-1-100-1-10011000000
χ452222-12222-12-12-122-122-1-1-1222-12-100220022-1-12222-1-1-1-1-12-12-1-1-1-1000022220022-1-10000-1-1-1-1-1-10000000000-1-100-1-100-1-10000
χ462222-12222-12-12-122-122-1-1-1222-12-100-2-200-2-2-1-12222-1-1-1-1-12-12-1-1-1-10000-2-2-2-200-2-211000011-1-1-1-1000000000011001100110000
χ472222-12222-12-12-122-1-2-2-1-1-1-2-22-12-100220022-1-122-2-211-1-11-21-211110000-2-22200-2-2-1-10000-1-1-1-11100000000001100-1-100110000
χ482222-12222-12-12-122-1-2-2-1-1-1-2-22-12-100-2-200-2-2-1-122-2-211-1-11-21-21111000022-2-2002211000011-1-1110000000000-1-1001100-1-10000
χ492222-12222-12-12-1-2-2-122-1-1-1-2-22-12-10022002211-2-222-1-1-1-11-21-21111000022-2-200-2-2-1-10000-1-111-1-10000000000-1-1001100110000
χ502222-12222-12-12-1-2-2-122-1-1-1-2-22-12-100-2-200-2-211-2-222-1-1-1-11-21-211110000-2-22200221100001111-1-100000000001100-1-100-1-10000
χ512222-12222-12-12-1-2-2-1-2-2-1-1-1222-12-10022002211-2-2-2-211-1-1-12-12-1-1-1-10000-2-2-2-20022-1-10000-1-11111000000000011001100-1-10000
χ522222-12222-12-12-1-2-2-1-2-2-1-1-1222-12-100-2-200-2-211-2-2-2-211-1-1-12-12-1-1-1-10000222200-2-21100001111110000000000-1-100-1-100110000
χ532-22-222-222-2-22-2-200200-22-20022-2-22i−2i2i−2i−2i2i−2i2i00000000-22000000000000000000002i−2i−2i2i2i−2i−2i2i0000-222-200000000000000000000
χ542-22-222-222-2-22-2-200200-22-20022-2-22i−2i−2i2i−2i2i2i−2i00000000-2200000000000000000000−2i2i−2i2i2i−2i2i−2i00002-2-2200000000000000000000
χ552-22-222-222-2-22-2-200200-22-20022-2-2−2i2i2i−2i2i−2i−2i2i00000000-22000000000000000000002i−2i2i−2i−2i2i−2i2i00002-2-2200000000000000000000
χ562-22-222-222-2-22-2-200200-22-20022-2-2−2i2i−2i2i2i−2i2i−2i00000000-2200000000000000000000−2i2i2i−2i−2i2i2i−2i0000-222-200000000000000000000
χ572-22-22-12-2-1-2121-22-2-12i−2i1-112i−2i1-2-122i−2i002i−2i002-2-11−ii2i−2i-112i−i−2ii−i−iii2-22i−2i00002-20000−ii−ii00-11−ii00000000-1100−ii00-11000000
χ582-22-22-12-2-1-2121-22-2-12i−2i1-112i−2i1-2-12−2i2i00−2i2i002-2-11−ii2i−2i-112i−i−2ii−i−iii-22−2i2i0000-220000i−ii−i00-11−ii000000001-100i−i001-1000000
χ592-22-22-12-2-1-2121-22-2-1−2i2i1-11−2i2i1-2-122i−2i002i−2i002-2-11i−i−2i2i-11−2ii2i−iii−i−i-222i−2i0000-220000−ii−ii00-11i−i000000001-100−ii001-1000000
χ602-22-22-12-2-1-2121-22-2-1−2i2i1-11−2i2i1-2-12−2i2i00−2i2i002-2-11i−i−2i2i-11−2ii2i−iii−i−i2-2−2i2i00002-20000i−ii−i00-11i−i00000000-1100i−i00-11000000
χ612-22-22-12-2-1-2121-2-22-12i−2i1-11−2i2i1-2-122i−2i002i−2i00-221-1−ii2i−2i-11−2ii2i−iii−i−i2-2−2i2i0000-220000−ii−ii001-1−ii00000000-1100i−i001-1000000
χ622-22-22-12-2-1-2121-2-22-12i−2i1-11−2i2i1-2-12−2i2i00−2i2i00-221-1−ii2i−2i-11−2ii2i−iii−i−i-222i−2i00002-20000i−ii−i001-1−ii000000001-100−ii00-11000000
χ632-22-22-12-2-1-2121-2-22-1−2i2i1-112i−2i1-2-122i−2i002i−2i00-221-1i−i−2i2i-112i−i−2ii−i−iii-22−2i2i00002-20000−ii−ii001-1i−i000000001-100i−i00-11000000
χ642-22-22-12-2-1-2121-2-22-1−2i2i1-112i−2i1-2-12−2i2i00−2i2i00-221-1i−i−2i2i-112i−i−2ii−i−iii2-22i−2i0000-220000i−ii−i001-1i−i00000000-1100−ii001-1000000
χ652-22-2-122-221-2-1-212-2-12i−2i1-112i−2i-212-1002i−2i002i−2i-112-22i−2i−ii-11−i2ii−2i−i−iii00002-22i−2i002-2−ii0000−ii-11−ii0000000000-1100−ii00-110000
χ662-22-2-122-221-2-1-212-2-12i−2i1-112i−2i-212-100−2i2i00−2i2i-112-22i−2i−ii-11−i2ii−2i−i−iii0000-22−2i2i00-22i−i0000i−i-11−ii00000000001-100i−i001-10000
χ672-22-2-122-221-2-1-212-2-1−2i2i1-11−2i2i-212-1002i−2i002i−2i-112-2−2i2ii−i-11i−2i−i2iii−i−i0000-222i−2i00-22−ii0000−ii-11i−i00000000001-100−ii001-10000
χ682-22-2-122-221-2-1-212-2-1−2i2i1-11−2i2i-212-100−2i2i00−2i2i-112-2−2i2ii−i-11i−2i−i2iii−i−i00002-2−2i2i002-2i−i0000i−i-11i−i0000000000-1100i−i00-110000
χ692-22-2-122-221-2-1-21-22-12i−2i1-11−2i2i-212-1002i−2i002i−2i1-1-222i−2i−ii-11i−2i−i2iii−i−i00002-2−2i2i00-22−ii0000−ii1-1−ii0000000000-1100i−i001-10000
χ702-22-2-122-221-2-1-21-22-12i−2i1-11−2i2i-212-100−2i2i00−2i2i1-1-222i−2i−ii-11i−2i−i2iii−i−i0000-222i−2i002-2i−i0000i−i1-1−ii00000000001-100−ii00-110000
χ712-22-2-122-221-2-1-21-22-1−2i2i1-112i−2i-212-1002i−2i002i−2i1-1-22−2i2ii−i-11−i2ii−2i−i−iii0000-22−2i2i002-2−ii0000−ii1-1i−i00000000001-100i−i00-110000
χ722-22-2-122-221-2-1-21-22-1−2i2i1-112i−2i-212-100−2i2i00−2i2i1-1-22−2i2ii−i-11−i2ii−2i−i−iii00002-22i−2i00-22i−i0000i−i1-1i−i0000000000-1100−ii001-10000
χ7344444-2-4-4-24-24-2400-200-2-2-2002-42-44400-4-4000000000022000000000000000000000022-2-2000000000000000000000000000000
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χ784444-2-244-2-2-2-2-2-2441-4-4111-4-4-2-2-2-200000000-2-2-2-22222112222-1-1-1-10000000000000000000011-1-1000000000000000000000000
χ794444-2-244-2-2-2-2-2-2-4-4144111-4-4-2-2-2-2000000002222-2-2-2-2112222-1-1-1-100000000000000000000-1-111000000000000000000000000
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χ864-44-4-24-4442-4-2-4200-2002-22004-2-4200−4i4i004i−4i000000002-2000000000000000000002i−2i0000−2i2i0000000000000000000000000000
χ874-44-4-2-24-4-222-2224-414i−4i-11-14i−4i22-2-200000000-22-22−2i2i−2i2i1-1−2i−2i2i2iii−i−i000000000000000000001-1i−i000000000000000000000000
χ884-44-4-2-24-4-222-2224-41−4i4i-11-1−4i4i22-2-200000000-22-222i−2i2i−2i1-12i2i−2i−2i−i−iii000000000000000000001-1−ii000000000000000000000000
χ894-44-4-2-24-4-222-222-4414i−4i-11-1−4i4i22-2-2000000002-22-2−2i2i−2i2i1-12i2i−2i−2i−i−iii00000000000000000000-11i−i000000000000000000000000
χ904-44-4-2-24-4-222-222-441−4i4i-11-14i−4i22-2-2000000002-22-22i−2i2i−2i1-1−2i−2i2i2iii−i−i00000000000000000000-11−ii000000000000000000000000
χ914-4-444400-4-44-4-4400400-4-4400000000000000000000000000000000000000000000000000000000000022−22−22220000000000000000
χ924-4-444400-4-44-4-4400400-4-44000000000000000000000000000000000000000000000000000000000000−222222−220000000000000000
χ938888-4-4-8-8-4-4-4-4-4-4002002220044440000000000000000-2-200000000000000000000000000000000000000000000000000000000
χ9488-8-88-400484-8-4-800-400-44400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4800-8-4-848400-400-44400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-4004-444-44002002-2-200000000000000000000000000003i2−3i23i2−3i2000000000000000000000000000000000000000000000000
χ9788-8-8-4-4004-444-44002002-2-20000000000000000000000000000−3i23i2−3i23i2000000000000000000000000000000000000000000000000
χ988-88-8-4-4-88-444-44400200-22-200-4-4440000000000000000-2200000000000000000000000000000000000000000000000000000000
χ998-8-888-4004-8-4-84800-40044-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-4800-8484-8-400-40044-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-40044-444-400200-2-22000000000000000000000000000032−32−3232000000000000000000000000000000000000000000000000
χ1028-8-88-4-40044-444-400200-2-220000000000000000000000000000−323232−32000000000000000000000000000000000000000000000000

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