Finite Group Databasebeta

← Group #11788637

Character table — Group #11788637

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order12222233444466666666663666666666121212121212121288884412121212121212121212121212121212121212128888882424242424242424226666882424242424242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ91-1-111-11111-1-1-111-1-1-111-1-111-111-1-1-11-1111-1-11-1-1ii−i−ii−iiiii−i−i−i−i11-1-1iiii−i−i−i−ii−iii−i−iiiii−i−i−i−i1-111-1-11-1ii−i−i11-1-11-11-1i−i
χ101-1-111-11111-1-1-111-1-1-111-1-111-111-1-1-11-1111-1-11-1-1ii−i−ii−iiiii−i−i−i−i11-1-1iiii−i−i−i−ii−i−i−iiiiiii−i−i−i−i1-111-1-1-11−i−iii-1-111-11-11−ii
χ111-1-111-11111-1-1-111-1-1-111-1-111-111-1-1-11-1111-1-11-1-1ii−i−i−ii−i−i−i−iiiii11-1-1−i−i−i−iiiiii−iii−i−iiiii−i−i−i−i-11-1-111-11ii−i−i-1-1111-11-1−ii
χ121-1-111-11111-1-1-111-1-1-111-1-111-111-1-1-11-1111-1-11-1-1ii−i−i−ii−i−i−i−iiiii11-1-1−i−i−i−iiiiii−i−i−iiiiiii−i−i−i−i-11-1-1111-1−i−iii11-1-1-11-11i−i
χ131-1-111-11111-1-1-111-1-1-111-1-111-111-1-1-11-1111-1-11-1-1−i−iiii−iiiii−i−i−i−i11-1-1iiii−i−i−i−i−iiii−i−i−i−i−i−iiiii-11-1-1111-1ii−i−i11-1-1-11-11−ii
χ141-1-111-11111-1-1-111-1-1-111-1-111-111-1-1-11-1111-1-11-1-1−i−iiii−iiiii−i−i−i−i11-1-1iiii−i−i−i−i−ii−i−iii−i−i−i−iiiii-11-1-111-11−i−iii-1-1111-11-1i−i
χ151-1-111-11111-1-1-111-1-1-111-1-111-111-1-1-11-1111-1-11-1-1−i−iii−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii−iiii−i−i−i−i−i−iiiii1-111-1-1-11ii−i−i-1-111-11-11i−i
χ161-1-111-11111-1-1-111-1-1-111-1-111-111-1-1-11-1111-1-11-1-1−i−iii−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii−ii−i−iii−i−i−i−iiiii1-111-1-11-1−i−iii11-1-11-11-1−ii
χ1722222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-200000000002i−2i2i−2i00000000000000002i−2i2i−2i0000000000
χ1822222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-20000000000−2i2i−2i2i0000000000000000−2i2i−2i2i0000000000
χ192222222-122222-1-1-1-1-12-12-1-122-1-1-1-1-1-1-12-1-12-122-122222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-1-1-1-1-122-1-1-1-10000000000000000
χ202222222-122222-1-1-1-1-12-12-1-122-1-1-1-1-1-1-12-1-12-122-12222-2-2-2-211-2-211-1-1-1-111111111220000-1-1-1-1-1-1-1-1-2-211110000000000000000
χ212222222-122222-1-1-1-1-12-12-1-122-1-1-1-1-1-1-12-1-12-122-1-2-2-2-22222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000011111111-2-211110000000000000000
χ222222222-122222-1-1-1-1-12-12-1-122-1-1-1-1-1-1-12-1-12-122-1-2-2-2-2-2-2-2-211-2-211-1-1-1-111111111-2-200001111111122-1-1-1-10000000000000000
χ23222222-122222-122222-12-12-1-1-1-1-1-1-1-1-1-1-122-12-1-12000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10022220000000000000022-1-1-1-1-1-1-1-1000000
χ24222222-122222-122222-12-12-1-1-1-1-1-1-1-1-1-1-122-12-1-12000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200000000000000-2-211111111000000
χ25222222-122222-122222-12-12-1-1-1-1-1-1-1-1-1-1-122-12-1-120000-2-211-2-211-2-2-1-1-1-11111111100222200000000000000-2-2-1-1-1-11111000000
χ26222222-122222-122222-12-12-1-1-1-1-1-1-1-1-1-1-122-12-1-120000-2-211-2-211-2-2-1-1-1-11111111100-2-2-2-200000000000000221111-1-1-1-1000000
χ27222222-12-2-2-2-2-122222-12-12-1-1-1-1-1-1-1-1-1-11-2-21-211-2000000−i3i300−i3i3001111−i3−i3i3i3−i3−i3i3i3002i−2i2i−2i0000000000000000−ii−ii3−33−3000000
χ28222222-12-2-2-2-2-122222-12-12-1-1-1-1-1-1-1-1-1-11-2-21-211-2000000−i3i300−i3i3001111−i3−i3i3i3−i3−i3i3i300−2i2i−2i2i0000000000000000i−ii−i−33−33000000
χ29222222-12-2-2-2-2-122222-12-12-1-1-1-1-1-1-1-1-1-11-2-21-211-2000000i3−i300i3−i3001111i3i3−i3−i3i3i3−i3−i3002i−2i2i−2i0000000000000000−ii−ii−33−33000000
χ30222222-12-2-2-2-2-122222-12-12-1-1-1-1-1-1-1-1-1-11-2-21-211-2000000i3−i300i3−i3001111i3i3−i3−i3i3i3−i3−i300−2i2i−2i2i0000000000000000i−ii−i3−33−3000000
χ312222-2-2222-22-22-2-22-2-222222-2-2-2-22-2-22222-2-2-2-222222200000000002-22-200000000-2-2000022-2-222-2-20000000000000000000000
χ322222-2-2222-22-22-2-22-2-222222-2-2-2-22-2-22222-2-2-2-222-2-2-2-200000000002-22-200000000220000-2-222-2-2220000000000000000000000
χ332222-2-222-22-222-2-22-2-222222-2-2-2-22-2-222-2-22222-2-200000000000000-22-220000000000000000000000000000000000000022-2-200
χ342222-2-222-22-222-2-22-2-222222-2-2-2-22-2-222-2-22222-2-200000000000000-22-2200000000000000000000000000000000000000-2-22200
χ352222-2-22-12-22-2211-1112-12-1-1-2-211-111-1-12-11-21-22-122220000−i3i300−i3i3-11-11−i3i3−i3i3−i3i3−i3i3-2-20000-1-111-1-11100−i3i3−i3i30000000000000000
χ362222-2-22-12-22-2211-1112-12-1-1-2-211-111-1-12-11-21-22-122220000i3−i300i3−i3-11-11i3−i3i3−i3i3−i3i3−i3-2-20000-1-111-1-11100i3−i3i3−i30000000000000000
χ372222-2-22-12-22-2211-1112-12-1-1-2-211-111-1-12-11-21-22-1-2-2-2-20000−i3i300−i3i3-11-11−i3i3−i3i3−i3i3−i3i322000011-1-111-1-100i3−i3i3−i30000000000000000
χ382222-2-22-12-22-2211-1112-12-1-1-2-211-111-1-12-11-21-22-1-2-2-2-20000i3−i300i3−i3-11-11i3−i3i3−i3i3−i3i3−i322000011-1-111-1-100−i3i3−i3i30000000000000000
χ392-2-222-222-2-222-222-2-2-222-2-222-222-2-2-22-2-2-2-222-22200000000000000-2-22200000000002-2-2200000000000000002-2-220000000000
χ402-2-222-222-2-222-222-2-2-222-2-222-222-2-2-22-2-2-2-222-22200000000000000-2-2220000000000-222-20000000000000000-222-20000000000
χ412-2-222-22-122-2-2-2-1-11112-1-21-12-2-1-1111-112-1-1-212-212i2i−2i−2i2i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii2i−2i0000−i−i−i−iiiii2-2-1-1110000000000000000
χ422-2-222-22-122-2-2-2-1-11112-1-21-12-2-1-1111-112-1-1-212-212i2i−2i−2i−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i2i−2i0000−i−i−i−iiiii-2211-1-10000000000000000
χ432-2-222-22-122-2-2-2-1-11112-1-21-12-2-1-1111-112-1-1-212-21−2i−2i2i2i2i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii−2i2i0000iiii−i−i−i−i-2211-1-10000000000000000
χ442-2-222-22-122-2-2-2-1-11112-1-21-12-2-1-1111-112-1-1-212-21−2i−2i2i2i−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i−2i2i0000iiii−i−i−i−i2-2-1-1110000000000000000
χ452-2-222-2-1222-2-2122-2-2-2-121-2-1-11-1-1111-11-1221-2-11-200002i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii002i2i−2i−2i000000000000002-2−i−iii-1-111000000
χ462-2-222-2-1222-2-2122-2-2-2-121-2-1-11-1-1111-11-1221-2-11-200002i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii00−2i−2i2i2i00000000000000-22ii−i−i11-1-1000000
χ472-2-222-2-1222-2-2122-2-2-2-121-2-1-11-1-1111-11-1221-2-11-20000−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i002i2i−2i−2i00000000000000-22−i−iii11-1-1000000
χ482-2-222-2-1222-2-2122-2-2-2-121-2-1-11-1-1111-11-1221-2-11-20000−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i00−2i−2i2i2i000000000000002-2ii−i−i-1-111000000
χ492-2-222-2-12-2-222122-2-2-2-121-2-1-11-1-1111-111-2-2-121-120000003−300−330011-1-133−3−3−3−333002-2-220000000000000000-111-1−333−3000000
χ502-2-222-2-12-2-222122-2-2-2-121-2-1-11-1-1111-111-2-2-121-120000003−300−330011-1-133−3−3−3−33300-222-200000000000000001-1-113−3−33000000
χ512-2-222-2-12-2-222122-2-2-2-121-2-1-11-1-1111-111-2-2-121-12000000−33003−30011-1-1−3−33333−3−3002-2-220000000000000000-111-13−3−33000000
χ522-2-222-2-12-2-222122-2-2-2-121-2-1-11-1-1111-111-2-2-121-12000000−33003−30011-1-1−3−33333−3−300-222-200000000000000001-1-11−333−3000000
χ532-2-22-22222-2-22-2-2-2-22222-2-22-22-2-2-2222-222-222-2-2-22i2i−2i−2i00000000002-2-2200000000−2i2i00002i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ542-2-22-22222-2-22-2-2-2-22222-2-22-22-2-2-2222-222-222-2-2-2−2i−2i2i2i00000000002-2-22000000002i−2i0000−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ552-2-22-2222-222-2-2-2-2-22222-2-22-22-2-2-2222-2-2-22-2-222200000000000000-222-2000000000000000000000000000000000000002-2-2200
χ562-2-22-2222-222-2-2-2-2-22222-2-22-22-2-2-2222-2-2-22-2-222200000000000000-222-200000000000000000000000000000000000000-222-200
χ572-2-22-222-12-2-22-2111-1-12-1-21-1-22111-1-1-112-112-1-2-212i2i−2i−2i00003−300−33-111-13−33−3−33−33−2i2i0000−i−iiiii−i−i00−i3i3i3−i30000000000000000
χ582-2-22-222-12-2-22-2111-1-12-1-21-1-22111-1-1-112-112-1-2-212i2i−2i−2i0000−33003−3-111-1−33−333−33−3−2i2i0000−i−iiiii−i−i00i3−i3−i3i30000000000000000
χ592-2-22-222-12-2-22-2111-1-12-1-21-1-22111-1-1-112-112-1-2-21−2i−2i2i2i00003−300−33-111-13−33−3−33−332i−2i0000ii−i−i−i−iii00i3−i3−i3i30000000000000000
χ602-2-22-222-12-2-22-2111-1-12-1-21-1-22111-1-1-112-112-1-2-21−2i−2i2i2i0000−33003−3-111-1−33−333−33−32i−2i0000ii−i−i−i−iii00−i3i3i3−i30000000000000000
χ614444444-2-4-4-4-44-2-2-2-2-24-24-2-244-2-2-2-2-2-2-2-422-42-4-4200000000000000222200000000000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-2000044-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-20000-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-2111111122222222000000−2i32i300−2i32i300-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-21111111222222220000002i3−2i3002i3−2i300-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000
χ664444-4-44-2-44-44422-2224-24-2-2-4-422-222-2-2-42-24-24-42000000000000002-22-200000000000000000000000000000000000000000000
χ674444-4-4-244-44-4-2-4-44-4-4-24-24-22222-222-2-2-24-42-42-2400000000000000-22-2200000000000000000000000000000000000000000000
χ684444-4-4-24-44-44-2-4-44-4-4-24-24-22222-222-2-22-44-24-22-4000000000000002-22-200000000000000000000000000000000000000000000
χ694444-4-4-2-24-44-4-222-222-2-2-2-2122-1-11-1-111-2-22222-2-200000000−2i32i300−2i32i31-11-1i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000
χ704444-4-4-2-24-44-4-222-222-2-2-2-2122-1-11-1-111-2-22222-2-2000000002i3−2i3002i3−2i31-11-1−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000
χ714444-4-4-2-2-44-44-222-222-2-2-2-2122-1-11-1-11122-2-2-2-22200000000000000-11-113-3-333-3-33000000000000000000000000000000000000
χ724444-4-4-2-2-44-44-222-222-2-2-2-2122-1-11-1-11122-2-2-2-22200000000000000-11-11-333-3-333-3000000000000000000000000000000000000
χ7344-4-400440000400400-4-4-4-440000400-4-400000000−2i22i2−2i22i20000000000000000000000000000−2i22i200−2i22i2000000000000000000000000
χ7444-4-400440000400400-4-4-4-440000400-4-4000000002i2−2i22i2−2i200000000000000000000000000002i2−2i2002i2−2i2000000000000000000000000
χ7544-4-4004-200004−2i32i3-2−2i32i3-42-42-200−2i32i3-2−2i32i32200000000−2i22i2−2i22i20000000000000000000000000000i2−i26−6i2−i26−60000000000000000000000
χ7644-4-4004-200004−2i32i3-2−2i32i3-42-42-200−2i32i3-2−2i32i322000000002i2−2i22i2−2i20000000000000000000000000000−i2i2−66−i2i2−660000000000000000000000
χ7744-4-4004-2000042i3−2i3-22i3−2i3-42-42-2002i3−2i3-22i3−2i32200000000−2i22i2−2i22i20000000000000000000000000000i2−i2−66i2−i2−660000000000000000000000
χ7844-4-4004-2000042i3−2i3-22i3−2i3-42-42-2002i3−2i3-22i3−2i322000000002i2−2i22i2−2i20000000000000000000000000000−i2i26−6−i2i26−60000000000000000000000
χ794-44-400440000-400-400-4-44440000-400-440000000022−22−2222000000000000000000000000000022−2200−2222000000000000000000000000
χ804-44-400440000-400-400-4-44440000-400-4400000000−222222−220000000000000000000000000000−22220022−22000000000000000000000000
χ814-44-4004-20000-4−2i32i322i3−2i3-424-2-200−2i32i322i3−2i32-20000000022−22−22220000000000000000000000000000−22i6−i62−2−i6i60000000000000000000000
χ824-44-4004-20000-4−2i32i322i3−2i3-424-2-200−2i32i322i3−2i32-200000000−222222−2200000000000000000000000000002−2−i6i6−22i6−i60000000000000000000000
χ834-44-4004-20000-42i3−2i32−2i32i3-424-2-2002i3−2i32−2i32i32-20000000022−22−22220000000000000000000000000000−22−i6i62−2i6−i60000000000000000000000
χ844-44-4004-20000-42i3−2i32−2i32i3-424-2-2002i3−2i32−2i32i32-200000000−222222−2200000000000000000000000000002−2i6−i6−22−i6i60000000000000000000000
χ854-4-444-44-2-4-444-4-2-22224-2-42-24-4-2-2222-22-4224-2-44-20000000000000022-2-200000000000000000000000000000000000000000000
χ864-4-444-4-2-244-4-42-2-2222-2-2221-2211-1-1-11-1-2-2-222-22200004i−4i−2i−2i−2i−2i2i2i2i2i11-1-1iiii−i−i−i−i000000000000000000000000000000000000
χ874-4-444-4-2-244-4-42-2-2222-2-2221-2211-1-1-11-1-2-2-222-2220000−4i4i2i2i2i2i−2i−2i−2i−2i11-1-1−i−i−i−iiiii000000000000000000000000000000000000
χ884-4-444-4-2-2-4-4442-2-2222-2-2221-2211-1-1-11-1222-2-22-2-200000023−2300−232300-1-111−3−33333−3−3000000000000000000000000000000000000
χ894-4-444-4-2-2-4-4442-2-2222-2-2221-2211-1-1-11-1222-2-22-2-2000000−23230023−2300-1-11133−3−3−3−333000000000000000000000000000000000000
χ904-4-44-444-2-444-4-4222-2-24-2-42-2-44222-2-2-22-42-2-4244-2000000000000002-2-2200000000000000000000000000000000000000000000
χ914-4-44-44-244-4-442-4-4-444-242-4-22-2222-2-2-22-24-4-2422-400000000000000-222-200000000000000000000000000000000000000000000
χ924-4-44-44-24-444-42-4-4-444-242-4-22-2222-2-2-222-442-4-2-24000000000000002-2-2200000000000000000000000000000000000000000000
χ934-4-44-44-2-24-4-442222-2-2-2-22212-2-1-1-1111-1-2-22-2-22220000000023−2300−23231-1-11−33−333−33−3000000000000000000000000000000000000
χ944-4-44-44-2-24-4-442222-2-2-2-22212-2-1-1-1111-1-2-22-2-222200000000−23230023−231-1-113−33−3−33−33000000000000000000000000000000000000
χ954-4-44-44-2-2-444-42222-2-2-2-22212-2-1-1-1111-122-222-2-2-200000000000000-111-13i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000
χ964-4-44-44-2-2-444-42222-2-2-2-22212-2-1-1-1111-122-222-2-2-200000000000000-111-1−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000
χ9788-8-800-480000-4008004-84-8-40000-400440000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-4−4i34i3-4−4i34i344442002i3−2i322i3−2i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-44i3−4i3-44i3−4i34444200−2i32i32−2i32i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-800-480000400-8004-8-48-400004004-40000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-400004−4i34i344i3−4i344-4-42002i3−2i3-2−2i32i3-220000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-4000044i3−4i34−4i34i344-4-4200−2i32i3-22i3−2i3-220000000000000000000000000000000000000000000000000000000000000000000000

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