Finite Group Databasebeta

← Group #11788692

Character table — Group #11788692

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order1222223344446666661212121236666666121212121212121212128888668812122424242424242424242424242424242488888824242424242424244488121212122424242424242424224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ41111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ91-1-111-11111-1-1-1-1-111-111-1-1111-1-1-1-1111-1-1-1111-1-1ii−i−i1-11-11-111-1-1111111-1-1-1-1-1-1i−iii−i−iiiii−i−i−i−ii−ii−iii−i−iii−i−iii−i−i1-11-11-1
χ101-1-111-11111-1-1-1-1-111-111-1-1111-1-1-1-1111-1-1-1111-1-1ii−i−i1-11-11-111-1-1111111-1-1-1-1-1-1i−i−i−iiiiiii−i−i−i−i−iii−i−i−iiiii−i−i−i−iii-11-11-11
χ111-1-111-11111-1-1-1-1-111-111-1-1111-1-1-1-1111-1-1-1111-1-1ii−i−i1-1-111-1-1-111-1-1-1-1-1-1111111i−iii−i−iiiii−i−i−i−i−ii−ii−i−iii−i−iiiii−i−i1-11-1-11
χ121-1-111-11111-1-1-1-1-111-111-1-1111-1-1-1-1111-1-1-1111-1-1ii−i−i1-1-111-1-1-111-1-1-1-1-1-1111111i−i−i−iiiiiii−i−i−i−ii−i−iiii−i−i−i−iii−i−iii-11-111-1
χ131-1-111-11111-1-1-1-1-111-111-1-1111-1-1-1-1111-1-1-1111-1-1−i−iii1-11-11-111-1-1111111-1-1-1-1-1-1−iiii−i−i−i−i−i−iiiiii−i−iiii−i−i−i−iiiii−i−i-11-11-11
χ141-1-111-11111-1-1-1-1-111-111-1-1111-1-1-1-1111-1-1-1111-1-1−i−iii1-11-11-111-1-1111111-1-1-1-1-1-1−ii−i−iii−i−i−i−iiiii−ii−ii−i−iii−i−iii−i−iii1-11-11-1
χ151-1-111-11111-1-1-1-1-111-111-1-1111-1-1-1-1111-1-1-1111-1-1−i−iii1-1-111-1-1-111-1-1-1-1-1-1111111−iiii−i−i−i−i−i−iiiii−iii−i−i−iiiii−i−iii−i−i-11-111-1
χ161-1-111-11111-1-1-1-1-111-111-1-1111-1-1-1-1111-1-1-1111-1-1−i−iii1-1-111-1-1-111-1-1-1-1-1-1111111−ii−i−iii−i−i−i−iiiiii−ii−iii−i−iii−i−i−i−iii1-11-1-11
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-200002200-2-20000000000000000002i−2i2i−2i000000000000000000002i−2i2i−2i000000
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-200002200-2-2000000000000000000−2i2i−2i2i00000000000000000000−2i2i−2i2i000000
χ192222222-1222222-12-1-12222-12-12-1-1-1-12-1-1-1-1-1-1-12-10000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002222000000002200-1-1-1-10000-1-1-1-1000000
χ202222222-1222222-12-1-12222-12-12-1-1-1-12-1-1-1-1-1-1-12-10000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200000000-2-200111100001111000000
χ212222222-1222222-12-1-12222-12-12-1-1-1-12-1-1-1-1-1-1-12-10000-1-1-2-2-1-1-2-2-2-211111111111100222200000000-2-20011110000-1-1-1-1000000
χ222222222-1222222-12-1-12222-12-12-1-1-1-12-1-1-1-1-1-1-12-10000-1-1-2-2-1-1-2-2-2-211111111111100-2-2-2-2000000002200-1-1-1-100001111000000
χ232222222-1-2-2-2-222-12-1-1-2-2-2-2-12-12-1-1-1-1-21111111-210000-1-100110000333−3−3−3333−3−3−3002i−2i2i−2i000000000000−i3i3−i3i30000−ii−ii000000
χ242222222-1-2-2-2-222-12-1-1-2-2-2-2-12-12-1-1-1-1-21111111-210000-1-100110000333−3−3−3333−3−3−300−2i2i−2i2i000000000000i3−i3i3−i30000i−ii−i000000
χ252222222-1-2-2-2-222-12-1-1-2-2-2-2-12-12-1-1-1-1-21111111-210000-1-100110000−3−3−3333−3−3−3333002i−2i2i−2i000000000000i3−i3i3−i30000−ii−ii000000
χ262222222-1-2-2-2-222-12-1-1-2-2-2-2-12-12-1-1-1-1-21111111-210000-1-100110000−3−3−3333−3−3−333300−2i2i−2i2i000000000000−i3i3−i3i30000i−ii−i000000
χ27222222-122222-1-12-122-1-1-1-1-1-12-12-1-1-1-122-1-12-1-1-122222-1-122-1-1-1-1-1-12-1-12-1-12-1-12-1-1220000-1-1-1-1-1-1-1-100220000-1-1-1-10000000000
χ28222222-122222-1-12-122-1-1-1-1-1-12-12-1-1-1-122-1-12-1-1-122222-1-1-2-2-1-11111-211-211-211-211220000-1-1-1-1-1-1-1-100-2-2000011110000000000
χ29222222-122222-1-12-122-1-1-1-1-1-12-12-1-1-1-122-1-12-1-1-12-2-2-2-2-1-122-1-1-1-1-1-12-1-12-1-12-1-12-1-1-2-200001111111100-2-2000011110000000000
χ30222222-122222-1-12-122-1-1-1-1-1-12-12-1-1-1-122-1-12-1-1-12-2-2-2-2-1-1-2-2-1-11111-211-211-211-211-2-200001111111100220000-1-1-1-10000000000
χ312222-2-2222-2-22222222-2-2-2-22-2-2-2-222222-2-2-2-2-2-2222222-2-200220000000000000000-2-2000022-2-222-2-20000000000000000000000
χ322222-2-2222-2-22222222-2-2-2-22-2-2-2-222222-2-2-2-2-2-222-2-2-2-2-2-200220000000000000000220000-2-222-2-2220000000000000000000000
χ332222-2-222-222-222222222222-2-2-2-2222-2-2222222-2-20000-2-200-2-2000000000000000000000000000000000000000000000022-2-200
χ342222-2-222-222-222222222222-2-2-2-2222-2-2222222-2-20000-2-200-2-20000000000000000000000000000000000000000000000-2-22200
χ352222-2-2-122-2-22-1-12-1221111-11-21-2-1-1-1-12-211-211-1222221100-1-13−33−303−303−303−303−3-2-20000-1-111-1-111000000003−33−30000000000
χ362222-2-2-122-2-22-1-12-1221111-11-21-2-1-1-1-12-211-211-1222221100-1-1−33−330−330−330−330−33-2-20000-1-111-1-11100000000−33−330000000000
χ372222-2-2-122-2-22-1-12-1221111-11-21-2-1-1-1-12-211-211-12-2-2-2-21100-1-13−33−303−303−303−303−322000011-1-111-1-100000000−33−330000000000
χ382222-2-2-122-2-22-1-12-1221111-11-21-2-1-1-1-12-211-211-12-2-2-2-21100-1-1−33−330−330−330−330−3322000011-1-111-1-1000000003−33−30000000000
χ392-2-222-222-2-222-2-2-222-2-2-222222-2-2-2-22-2-2222-2-2-22200002-200-220000000000000000002-2-22000000000000000000002-2-22000000
χ402-2-222-222-2-222-2-2-222-2-2-222222-2-2-2-22-2-2222-2-2-22200002-200-22000000000000000000-222-200000000000000000000-222-2000000
χ412-2-222-22-122-2-2-2-212-1122-2-2-12-1-2111-12-1111-1-1-1-210000-112-2-1122-2-2-1-1-1-1-1-1111111002i2i−2i−2i000000002i−2i00−i−iii0000−i−iii000000
χ422-2-222-22-122-2-2-2-212-1122-2-2-12-1-2111-12-1111-1-1-1-210000-112-2-1122-2-2-1-1-1-1-1-111111100−2i−2i2i2i00000000−2i2i00ii−i−i0000ii−i−i000000
χ432-2-222-22-122-2-2-2-212-1122-2-2-12-1-2111-12-1111-1-1-1-210000-11-22-11-2-222111111-1-1-1-1-1-1002i2i−2i−2i00000000−2i2i00ii−i−i0000−i−iii000000
χ442-2-222-22-122-2-2-2-212-1122-2-2-12-1-2111-12-1111-1-1-1-210000-11-22-11-2-222111111-1-1-1-1-1-100−2i−2i2i2i000000002i−2i00−i−iii0000ii−i−i000000
χ452-2-222-22-1-2-222-2-212-11-2-222-12-1-2111-1-21-1-1-11112-10000-11001-10000333−3−3−3−3−3−3333002-2-22000000000000−333−30000-111-1000000
χ462-2-222-22-1-2-222-2-212-11-2-222-12-1-2111-1-21-1-1-11112-10000-11001-10000333−3−3−3−3−3−333300-222-20000000000003−3−3300001-1-11000000
χ472-2-222-22-1-2-222-2-212-11-2-222-12-1-2111-1-21-1-1-11112-10000-11001-10000−3−3−3333333−3−3−3002-2-220000000000003−3−330000-111-1000000
χ482-2-222-22-1-2-222-2-212-11-2-222-12-1-2111-1-21-1-1-11112-10000-11001-10000−3−3−3333333−3−3−300-222-2000000000000−333−300001-1-11000000
χ492-2-222-2-1222-2-211-2-12-2-1-111-1-121-211-1-12-2112-1-11-22i2i−2i−2i-112-2-11-1-1112-1-12-1-1-211-2112i−2i0000−i−i−i−iiiii002i−2i0000−i−iii0000000000
χ502-2-222-2-1222-2-211-2-12-2-1-111-1-121-211-1-12-2112-1-11-22i2i−2i−2i-11-22-1111-1-1-211-2112-1-12-1-12i−2i0000−i−i−i−iiiii00−2i2i0000ii−i−i0000000000
χ512-2-222-2-1222-2-211-2-12-2-1-111-1-121-211-1-12-2112-1-11-2−2i−2i2i2i-112-2-11-1-1112-1-12-1-1-211-211−2i2i0000iiii−i−i−i−i00−2i2i0000ii−i−i0000000000
χ522-2-222-2-1222-2-211-2-12-2-1-111-1-121-211-1-12-2112-1-11-2−2i−2i2i2i-11-22-1111-1-1-211-2112-1-12-1-1−2i2i0000iiii−i−i−i−i002i−2i0000−i−iii0000000000
χ532-2-22-22222-22-2-2-2-222-2-2-2222-2-222-2-2222222-2-2-2-2-22i2i−2i−2i-22002-20000000000000000−2i2i00002i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ542-2-22-22222-22-2-2-2-222-2-2-2222-2-222-2-2222222-2-2-2-2-2−2i−2i2i2i-22002-200000000000000002i−2i0000−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ552-2-22-2222-22-22-2-2-222-222-2-22-2-222-2-22-2-2-2-2-2222220000-2200-2200000000000000000000000000000000000000000000002-2-2200
χ562-2-22-2222-22-22-2-2-222-222-2-22-2-222-2-22-2-2-2-2-2222220000-2200-220000000000000000000000000000000000000000000000-222-200
χ572-2-22-22-122-22-211-2-12-211-1-1-11-2-1211-1-122-1-1-2111-22i2i−2i−2i1-100-113−3−3303−303−30−330−33−2i2i0000−i−iiiii−i−i00000000i3−i3−i3i30000000000
χ582-2-22-22-122-22-211-2-12-211-1-1-11-2-1211-1-122-1-1-2111-22i2i−2i−2i1-100-11−333−30−330−3303−303−3−2i2i0000−i−iiiii−i−i00000000−i3i3i3−i30000000000
χ592-2-22-22-122-22-211-2-12-211-1-1-11-2-1211-1-122-1-1-2111-2−2i−2i2i2i1-100-113−3−3303−303−30−330−332i−2i0000ii−i−i−i−iii00000000−i3i3i3−i30000000000
χ602-2-22-22-122-22-211-2-12-211-1-1-11-2-1211-1-122-1-1-2111-2−2i−2i2i2i1-100-11−333−30−330−3303−303−32i−2i0000ii−i−i−i−iii00000000i3−i3−i3i30000000000
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χ1008-88-8008-40000-884-84-40000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-400004-4444-443−43−434320000-22-200023−230−23230000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-400004-4444-4−434343−4320000-22-2000−2323023−230000000000000000000000000000000000000000000000000000000000000000

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