Finite Group Databasebeta

← Group #11858014

Character table — Group #11858014

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222224444444444444466666666888888888888888888121212121212121212121212121212121212121216161616181818181818181824242424242424242424242436363636
order1222334466666622344666881212121222224444666612121212121224242424242424242244444466668888121212126612122244888866121212121212242424242244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-11111111111111111111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-111111111111111111111-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1
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
χ511111111111111111-1-1111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1
χ611111111111111111-1-1111-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111
χ711111111111111111-1-1111-1-11111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111
χ811111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1111111-1-1
χ911111111111111-1-1111111-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ1011111111111111-1-1111111-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-111-1-11111-1-1
χ1111111111111111-1-1111111-1-11111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-1111111-1-111-1-111-1-111-1-1
χ1211111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-111
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
χ1411111111111111-1-11-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111
χ1511111111111111-1-11-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
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
χ171-11-1111-1-1-11-1-111-11i−i-11-1i−i11-1-11-11-11-11-11-11-1i−ii−i1-1ii−i−iii−i−i1-1i−i1-1i−i1-11-1i−ii−i1-11-11-1i−i1-11-1ii−i−i1-1i−ii−i1-1i−ii−i1-1i−i
χ181-11-1111-1-1-11-1-111-11i−i-11-1i−i11-1-11-1-111-1-111-11-1i−ii−i1-1ii−i−iii−i−i1-1i−i-11−ii-111-1i−i−ii1-1-111-1i−i-11-11−i−iii1-1i−i−ii-11i−i−ii-11−ii
χ191-11-1111-1-1-11-1-111-11i−i-11-1i−i11-1-1-111-1-111-11-11-1i−ii−i1-1ii−i−iii−i−i-11−ii1-1i−i1-1-11−iii−i-111-11-1i−i-11-11−i−iii-11−iii−i1-1−iii−i-11−ii
χ201-11-1111-1-1-11-1-111-11i−i-11-1i−i11-1-1-11-11-11-111-11-1i−ii−i1-1ii−i−iii−i−i-11−ii-11−ii-11-11−ii−ii-11-111-1i−i1-11-1ii−i−i-11−ii−ii-11−ii−ii1-1i−i
χ211-11-1111-1-1-11-1-111-11−ii-11-1−ii11-1-11-11-11-11-11-11-1−ii−ii1-1−i−iii−i−iii1-1−ii1-1−ii1-11-1−ii−ii1-11-11-1−ii1-11-1−i−iii1-1−ii−ii1-1−ii−ii1-1−ii
χ221-11-1111-1-1-11-1-111-11−ii-11-1−ii11-1-11-1-111-1-111-11-1−ii−ii1-1−i−iii−i−iii1-1−ii-11i−i-111-1−iii−i1-1-111-1−ii-11-11ii−i−i1-1−iii−i-11−iii−i-11i−i
χ231-11-1111-1-1-11-1-111-11−ii-11-1−ii11-1-1-111-1-111-11-11-1−ii−ii1-1−i−iii−i−iii-11i−i1-1−ii1-1-11i−i−ii-111-11-1−ii-11-11ii−i−i-11i−i−ii1-1i−i−ii-11i−i
χ241-11-1111-1-1-11-1-111-11−ii-11-1−ii11-1-1-11-11-11-111-11-1−ii−ii1-1−i−iii−i−iii-11i−i-11i−i-11-11i−ii−i-11-111-1−ii1-11-1−i−iii-11i−ii−i-11i−ii−i1-1−ii
χ251-11-1111-1-1-11-1-11-111i−i-11-1−ii11-1-11-11-11-11-1-11-11i−ii−i1-1−i−iii−i−iii-11i−i-11i−i1-11-1−ii−ii1-11-1-11i−i1-11-1−i−iii-11i−ii−i-11−ii−ii-11i−i
χ261-11-1111-1-1-11-1-11-111i−i-11-1−ii11-1-11-1-111-1-11-11-11i−ii−i1-1−i−iii−i−iii-11i−i1-1−ii-111-1−iii−i1-1-11-11i−i-11-11ii−i−i-11i−i−ii1-1−iii−i1-1−ii
χ271-11-1111-1-1-11-1-11-111i−i-11-1−ii11-1-1-111-1-111-1-11-11i−ii−i1-1−i−iii−i−iii1-1−ii-11i−i1-1-11i−i−ii-111-1-11i−i-11-11ii−i−i1-1−iii−i-11i−i−ii1-1−ii
χ281-11-1111-1-1-11-1-11-111i−i-11-1−ii11-1-1-11-11-11-11-11-11i−ii−i1-1−i−iii−i−iii1-1−ii1-1−ii-11-11i−ii−i-11-11-11i−i1-11-1−i−iii1-1−ii−ii1-1i−ii−i-11i−i
χ291-11-1111-1-1-11-1-11-111−ii-11-1i−i11-1-11-11-11-11-1-11-11−ii−ii1-1ii−i−iii−i−i-11−ii-11−ii1-11-1i−ii−i1-11-1-11−ii1-11-1ii−i−i-11−ii−ii-11i−ii−i-11−ii
χ301-11-1111-1-1-11-1-11-111−ii-11-1i−i11-1-11-1-111-1-11-11-11−ii−ii1-1ii−i−iii−i−i-11−ii1-1i−i-111-1i−i−ii1-1-11-11−ii-11-11−i−iii-11−iii−i1-1i−i−ii1-1i−i
χ311-11-1111-1-1-11-1-11-111−ii-11-1i−i11-1-1-111-1-111-1-11-11−ii−ii1-1ii−i−iii−i−i1-1i−i-11−ii1-1-11−iii−i-111-1-11−ii-11-11−i−iii1-1i−i−ii-11−iii−i1-1i−i
χ321-11-1111-1-1-11-1-11-111−ii-11-1i−i11-1-1-11-11-11-11-11-11−ii−ii1-1ii−i−iii−i−i1-1i−i1-1i−i-11-11−ii−ii-11-11-11−ii1-11-1ii−i−i1-1i−ii−i1-1−ii−ii-11−ii
χ33222222-2-22222220020022200-2-2-2-22222-2-2-2-200000000-2-2000000000000000022220000-2-2-2-20000-2-22200000000000000000000
χ34222222-2-22222220020022200-2-2-2-222-2-2-2-22200000000-2-20000000000000000-2-2220000-2-222000022-2-200000000000000000000
χ35222222-2-22222220020022200-2-2-2-2-2-22222-2-200000000-2-2000000000000000022-2-2000022-2-2000022-2-200000000000000000000
χ36222222-2-22222220020022200-2-2-2-2-2-2-2-2222200000000-2-20000000000000000-2-2-2-2000022220000-2-22200000000000000000000
χ3722222-1222-1-1-12222-122-1-1-122-12-122200220022-1-1-1-122-1-12-12-1-1-1-1-12222000000-1-12200-1-100-1-1-1-100000000-1-1-1-10000-1-1000000
χ3822222-1222-1-1-12222-122-1-1-122-12-12-2-200-2-20022-1-1-1-122-1-12-12-1-1-1-1-1-2-2-2-200000011-2-2001100-1-1-1-1000000001111000011000000
χ3922222-1222-1-1-12222-1-2-2-1-1-1-2-2-12-122200220022-1-111-2-2-1-1-21-21111122-2-2000000-1-1-2-200-1-100-1-11100000000-1-111000011000000
χ4022222-1222-1-1-12222-1-2-2-1-1-1-2-2-12-12-2-200-2-20022-1-111-2-2-1-1-21-211111-2-2220000001122001100-1-1110000000011-1-10000-1-1000000
χ4122222-1222-1-1-122-2-2-122-1-1-1-2-2-12-1222002200-2-211-1-122-1-1-21-211111-2-222000000-1-1-2-200-1-10011-1-10000000011-1-1000011000000
χ4222222-1222-1-1-122-2-2-122-1-1-1-2-2-12-12-2-200-2-200-2-211-1-122-1-1-21-21111122-2-2000000112200110011-1-100000000-1-1110000-1-1000000
χ4322222-1222-1-1-122-2-2-1-2-2-1-1-122-12-1222002200-2-21111-2-2-1-12-12-1-1-1-1-1-2-2-2-2000000-1-12200-1-10011110000000011110000-1-1000000
χ4422222-1222-1-1-122-2-2-1-2-2-1-1-122-12-12-2-200-2-200-2-21111-2-2-1-12-12-1-1-1-1-1222200000011-2-2001100111100000000-1-1-1-1000011000000
χ452222-1222-1222-1-122-122-1-1-1222-12-100220022-1-12222-1-1-1-1-12-12-1-1-1-100002222-1-100002200-1-1-1-1-1-1000000000000-1-1-1-100-1-10000
χ462222-1222-1222-1-122-122-1-1-1222-12-100-2-200-2-2-1-12222-1-1-1-1-12-12-1-1-1-10000-2-2-2-2110000-2-20011-1-1-1-1000000000000111100110000
χ472222-1222-1222-1-122-1-2-2-1-1-1-2-22-12-100220022-1-122-2-211-1-11-21-21111000022-2-2-1-10000-2-200-1-1-1-11100000000000011-1-100110000
χ482222-1222-1222-1-122-1-2-2-1-1-1-2-22-12-100-2-200-2-2-1-122-2-211-1-11-21-211110000-2-222110000220011-1-111000000000000-1-11100-1-10000
χ492222-1222-1222-1-1-2-2-122-1-1-1-2-22-12-10022002211-2-222-1-1-1-11-21-211110000-2-222-1-10000-2-200-1-111-1-1000000000000-1-11100110000
χ502222-1222-1222-1-1-2-2-122-1-1-1-2-22-12-100-2-200-2-211-2-222-1-1-1-11-21-21111000022-2-211000022001111-1-100000000000011-1-100-1-10000
χ512222-1222-1222-1-1-2-2-1-2-2-1-1-1222-12-10022002211-2-2-2-211-1-1-12-12-1-1-1-10000-2-2-2-2-1-100002200-1-11111000000000000111100-1-10000
χ522222-1222-1222-1-1-2-2-1-2-2-1-1-1222-12-100-2-200-2-211-2-2-2-211-1-1-12-12-1-1-1-100002222110000-2-200111111000000000000-1-1-1-100110000
χ532-22-222-22-2-22-2-2200200-22-200-2-2222-22-2-22-2200000000-2200000000000000002-22-20000-22-220000-222-200000000000000000000
χ542-22-222-22-2-22-2-2200200-22-200-2-2222-2-22-222-200000000-220000000000000000-222-20000-222-200002-2-2200000000000000000000
χ552-22-222-22-2-22-2-2200200-22-200-2-222-222-22-2-2200000000-2200000000000000002-2-2200002-2-2200002-2-2200000000000000000000
χ562-22-222-22-2-22-2-2200200-22-200-2-222-22-222-22-200000000-220000000000000000-22-2200002-22-20000-222-200000000000000000000
χ572-22-22-12-2-21-11-222-2-12i−2i1-112i−2i-121-22-2002-2002-2-11−ii2i−2i-112i−i−2ii−i−iii2-22i−2i000000-112i−2i00-1100-11−ii00000000-11−ii0000−ii000000
χ582-22-22-12-2-21-11-222-2-12i−2i1-112i−2i-121-2-2200-22002-2-11−ii2i−2i-112i−i−2ii−i−iii-22−2i2i0000001-1−2i2i001-100-11−ii000000001-1i−i0000i−i000000
χ592-22-22-12-2-21-11-222-2-1−2i2i1-11−2i2i-121-22-2002-2002-2-11i−i−2i2i-11−2ii2i−iii−i−i2-2−2i2i000000-11−2i2i00-1100-11i−i00000000-11i−i0000i−i000000
χ602-22-22-12-2-21-11-222-2-1−2i2i1-11−2i2i-121-2-2200-22002-2-11i−i−2i2i-11−2ii2i−iii−i−i-222i−2i0000001-12i−2i001-100-11i−i000000001-1−ii0000−ii000000
χ612-22-22-12-2-21-11-22-22-12i−2i1-11−2i2i-121-22-2002-200-221-1−ii2i−2i-11−2ii2i−iii−i−i-222i−2i000000-11−2i2i00-11001-1−ii000000001-1−ii0000i−i000000
χ622-22-22-12-2-21-11-22-22-12i−2i1-11−2i2i-121-2-2200-2200-221-1−ii2i−2i-11−2ii2i−iii−i−i2-2−2i2i0000001-12i−2i001-1001-1−ii00000000-11i−i0000−ii000000
χ632-22-22-12-2-21-11-22-22-1−2i2i1-112i−2i-121-22-2002-200-221-1i−i−2i2i-112i−i−2ii−i−iii-22−2i2i000000-112i−2i00-11001-1i−i000000001-1i−i0000−ii000000
χ642-22-22-12-2-21-11-22-22-1−2i2i1-112i−2i-121-2-2200-2200-221-1i−i−2i2i-112i−i−2ii−i−iii2-22i−2i0000001-1−2i2i001-1001-1i−i00000000-11−ii0000i−i000000
χ652-22-2-122-21-22-21-12-2-12i−2i1-112i−2i2-1-21002-2002-2-112-22i−2i−ii-11−i2ii−2i−i−iii00002-22i−2i-1100002i−2i00-11-11−ii000000000000−ii-1100−ii0000
χ662-22-2-122-21-22-21-12-2-12i−2i1-112i−2i2-1-2100-2200-22-112-22i−2i−ii-11−i2ii−2i−i−iii0000-22−2i2i1-10000−2i2i001-1-11−ii000000000000i−i1-100i−i0000
χ672-22-2-122-21-22-21-12-2-1−2i2i1-11−2i2i2-1-21002-2002-2-112-2−2i2ii−i-11i−2i−i2iii−i−i00002-2−2i2i-110000−2i2i00-11-11i−i000000000000i−i-1100i−i0000
χ682-22-2-122-21-22-21-12-2-1−2i2i1-11−2i2i2-1-2100-2200-22-112-2−2i2ii−i-11i−2i−i2iii−i−i0000-222i−2i1-100002i−2i001-1-11i−i000000000000−ii1-100−ii0000
χ692-22-2-122-21-22-21-1-22-12i−2i1-11−2i2i2-1-21002-2002-21-1-222i−2i−ii-11i−2i−i2iii−i−i0000-222i−2i-110000−2i2i00-111-1−ii000000000000−ii1-100i−i0000
χ702-22-2-122-21-22-21-1-22-12i−2i1-11−2i2i2-1-2100-2200-221-1-222i−2i−ii-11i−2i−i2iii−i−i00002-2−2i2i1-100002i−2i001-11-1−ii000000000000i−i-1100−ii0000
χ712-22-2-122-21-22-21-1-22-1−2i2i1-112i−2i2-1-21002-2002-21-1-22−2i2ii−i-11−i2ii−2i−i−iii0000-22−2i2i-1100002i−2i00-111-1i−i000000000000i−i1-100−ii0000
χ722-22-2-122-21-22-21-1-22-1−2i2i1-112i−2i2-1-2100-2200-221-1-22−2i2ii−i-11−i2ii−2i−i−iii00002-22i−2i1-10000−2i2i001-11-1i−i000000000000−ii-1100i−i0000
χ7344444-2-4-44-2-2-24400-200-2-2-2002-42-44400-4-4000000000022000000000000000000-2-2000022000000000000000000000000000000
χ7444444-2-4-44-2-2-24400-200-2-2-2002-42-4-4-40044000000000022000000000000000000220000-2-2000000000000000000000000000000
χ754444-24-4-4-2444-2-200-200-2-2-200-42-42004400-4-400000000220000000000000000-2-200000000220000000000000000000000000000
χ764444-24-4-4-2444-2-200-200-2-2-200-42-4200-4-40044000000002200000000000000002200000000-2-20000000000000000000000000000
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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
χ804444-2-244-2-2-2-2-2-2-4-41-4-411144-2-2-2-2000000002222222211-2-2-2-2111100000000000000000000-1-1-1-1000000000000000000000000
χ8144-4-444004-4-44-4-4004004-4-40000000000000000000000000000000000000000000000000000000000002i2−2i22i2−2i20000000000000000
χ8244-4-444004-4-44-4-4004004-4-4000000000000000000000000000000000000000000000000000000000000−2i22i2−2i22i20000000000000000
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χ844-44-44-2-44-42-22-4400-2002-22002-4-24-44004-400000000002-20000000000000000002-20000-22000000000000000000000000000000
χ854-44-4-24-442-44-42-200-2002-2200-424-2004-400-44000000002-20000000000000000-22000000002-20000000000000000000000000000
χ864-44-4-24-442-44-42-200-2002-2200-424-200-44004-4000000002-200000000000000002-200000000-220000000000000000000000000000
χ874-44-4-2-24-422-222-24-414i−4i-11-14i−4i-2-22200000000-22-22−2i2i−2i2i1-1−2i−2i2i2iii−i−i000000000000000000001-1i−i000000000000000000000000
χ884-44-4-2-24-422-222-24-41−4i4i-11-1−4i4i-2-22200000000-22-222i−2i2i−2i1-12i2i−2i−2i−i−iii000000000000000000001-1−ii000000000000000000000000
χ894-44-4-2-24-422-222-2-4414i−4i-11-1−4i4i-2-222000000002-22-2−2i2i−2i2i1-12i2i−2i−2i−i−iii00000000000000000000-11i−i000000000000000000000000
χ904-44-4-2-24-422-222-2-441−4i4i-11-14i−4i-2-222000000002-22-22i−2i2i−2i1-1−2i−2i2i2iii−i−i00000000000000000000-11−ii000000000000000000000000
χ914-4-444400-44-4-44-400400-4-4400000000000000000000000000000000000000000000000000000000000022−22−22220000000000000000
χ924-4-444400-44-4-44-400400-4-44000000000000000000000000000000000000000000000000000000000000−222222−220000000000000000
χ938888-4-4-8-8-4-4-4-4-4-4002002220044440000000000000000-2-200000000000000000000000000000000000000000000000000000000
χ9488-8-88-400844-4-8-800-400-44400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4800-4-8-884400-400-44400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-400-444-444002002-2-200000000000000000000000000003i2−3i23i2−3i2000000000000000000000000000000000000000000000000
χ9788-8-8-4-400-444-444002002-2-20000000000000000000000000000−3i23i2−3i23i2000000000000000000000000000000000000000000000000
χ988-88-8-4-4-8844-444-400200-22-20044-4-40000000000000000-2200000000000000000000000000000000000000000000000000000000
χ998-8-888-400-8-4448-800-40044-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-480048-8-8-4400-40044-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4004-444-4400200-2-22000000000000000000000000000032−32−3232000000000000000000000000000000000000000000000000
χ1028-8-88-4-4004-444-4400200-2-220000000000000000000000000000−323232−32000000000000000000000000000000000000000000000000

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