Finite Group Databasebeta

← Group #11790842

Character table — Group #11790842

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order1222222222336666663444466666666666666666666666121212121212121212121212121212124444224444446666121212121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1
χ51111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ61111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ71111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-111-1-1-1-1-1-11111-1-11111
χ81111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-1111111-1-1-1-1-1-11111
χ9111111-1-1-1-1111111111ii−i−i1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1i−ii−i1111-1-1-1-1ii−i−iii−i−i1-1ii−i−i
χ10111111-1-1-1-1111111111ii−i−i1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-111−ii−ii-1-1-1-11111−i−iii−i−iii1-1ii−i−i
χ11111111-1-1-1-1111111111ii−i−i1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1111-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii-11−i−iii
χ12111111-1-1-1-1111111111ii−i−i1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-111-1−iii−i-1-11111-1-1−i−iiiii−i−i-11−i−iii
χ13111111-1-1-1-1111111111−i−iii1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−ii−ii1111-1-1-1-1−i−iii−i−iii1-1−i−iii
χ14111111-1-1-1-1111111111−i−iii1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-111i−ii−i-1-1-1-11111ii−i−iii−i−i1-1−i−iii
χ15111111-1-1-1-1111111111−i−iii1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1111-1-11−iii−i11-1-1-1-111−i−iiiii−i−i-11ii−i−i
χ16111111-1-1-1-1111111111−i−iii1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii-11ii−i−i
χ1722222222222-122-1-12-1-1222222-1-122-1-1-1-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000202002200-1-100-1-10000-1-1-1-1000000
χ1822222222222-122-1-12-1-1222222-1-122-1-1-1-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000-20-200-2-20011001100001111000000
χ1922222222222-122-1-12-1-1-2-2-2-222-1-122-1-1-1-1-1-1-12-1-1-12-1-1-1-1-1-2-2111111-2-21111110000020200-2-200-1-100-1-100001111000000
χ2022222222222-122-1-12-1-1-2-2-2-222-1-122-1-1-1-1-1-1-12-1-1-12-1-1-1-1-1-2-2111111-2-211111100000-20-20022001100110000-1-1-1-1000000
χ212222222222-12-1-122-12-12222-1-122-1-122-1-1-1-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000020202200-1-100-1-100-1-1-1-10000000000
χ222222222222-12-1-122-12-12222-1-122-1-122-1-1-1-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-20-20-2-2001100110011110000000000
χ232222222222-12-1-122-12-1-2-2-2-2-1-122-1-122-1-1-1-1-1-12-1-1-12-1-1-1-111-2-2111111-2-2111100002020-2-200-1-100-1-10011110000000000
χ242222222222-12-1-122-12-1-2-2-2-2-1-122-1-122-1-1-1-1-1-12-1-1-12-1-1-1-111-2-2111111-2-211110000-20-20220011001100-1-1-1-10000000000
χ25222222-2-2-2-22-122-1-12-1-12i2i−2i−2i22-1-1-2-211-1-1-111-2111-21-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii0000020-2002i−2i00-1-100110000−i−iii000000
χ26222222-2-2-2-22-122-1-12-1-12i2i−2i−2i22-1-1-2-211-1-1-111-2111-21-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii00000-20200−2i2i001100-1-10000ii−i−i000000
χ27222222-2-2-2-22-122-1-12-1-1−2i−2i2i2i22-1-1-2-211-1-1-111-2111-21-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i0000020-200−2i2i00-1-100110000ii−i−i000000
χ28222222-2-2-2-22-122-1-12-1-1−2i−2i2i2i22-1-1-2-211-1-1-111-2111-21-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i00000-202002i−2i001100-1-10000−i−iii000000
χ29222222-2-2-2-2-12-1-122-12-12i2i−2i−2i-1-12211-2-2-1-1-1111-2111-2-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii000020-202i−2i00-1-1001100−i−iii0000000000
χ30222222-2-2-2-2-12-1-122-12-12i2i−2i−2i-1-12211-2-2-1-1-1111-2111-2-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii0000-2020−2i2i001100-1-100ii−i−i0000000000
χ31222222-2-2-2-2-12-1-122-12-1−2i−2i2i2i-1-12211-2-2-1-1-1111-2111-2-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i000020-20−2i2i00-1-1001100ii−i−i0000000000
χ32222222-2-2-2-2-12-1-122-12-1−2i−2i2i2i-1-12211-2-2-1-1-1111-2111-2-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i0000-20202i−2i001100-1-100−i−iii0000000000
χ332222-2-22-22-22222222220000-2-2-2-22-22-2222-2-2-2-2-2-222-2-222000000000000000022-2-2000000000000000000000000-220000
χ342222-2-22-22-22222222220000-2-2-2-22-22-2222-2-2-2-2-2-222-2-2220000000000000000-2-2220000000000000000000000002-20000
χ352222-2-2-22-222222222220000-2-2-2-2-22-22222222222-2-2-2-2-2-200000000000000002222000000000000000000000000-2-20000
χ362222-2-2-22-222222222220000-2-2-2-2-22-22222222222-2-2-2-2-2-20000000000000000-2-2-2-2000000000000000000000000220000
χ372-22-22-222-2-222-2-2-2-222200002-22-22-22-22-2-2-2-22222-2-22-22-200000000000000000000000000000000000000000000002i−2i2i−2i
χ382-22-22-222-2-222-2-2-2-222200002-22-22-22-22-2-2-2-22222-2-22-22-20000000000000000000000000000000000000000000000−2i2i−2i2i
χ392-22-22-2-2-22222-2-2-2-222200002-22-2-22-222-2-222-2-2-2-2222-2-2200000000000000000000000000000000000000000000002-2-22
χ402-22-22-2-2-22222-2-2-2-222200002-22-2-22-222-2-222-2-2-2-2222-2-220000000000000000000000000000000000000000000000-222-2
χ412-22-2-222-2-2222-2-2-2-22222i−2i2i−2i-22-2222222-2-222-2-2-2-2-2-2-222-22i−2i2i−2i2i2i−2i−2i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ422-22-2-222-2-2222-2-2-2-2222−2i2i−2i2i-22-2222222-2-222-2-2-2-2-2-2-222-2−2i2i−2i2i−2i−2i2i2i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ432-22-2-222-2-222-1-2-2112-1-12i−2i2i−2i-221-122-1-1-111-1-1-2111-211-1-112i−2i−ii−i−iii2i−2i−ii−i−iii00000000000000−i3i300−i3i300003−33−3000000
χ442-22-2-222-2-222-1-2-2112-1-12i−2i2i−2i-221-122-1-1-111-1-1-2111-211-1-112i−2i−ii−i−iii2i−2i−ii−i−iii00000000000000i3−i300i3−i30000−33−33000000
χ452-22-2-222-2-222-1-2-2112-1-1−2i2i−2i2i-221-122-1-1-111-1-1-2111-211-1-11−2i2ii−iii−i−i−2i2ii−iii−i−i00000000000000−i3i300−i3i30000−33−33000000
χ462-22-2-222-2-222-1-2-2112-1-1−2i2i−2i2i-221-122-1-1-111-1-1-2111-211-1-11−2i2ii−iii−i−i−2i2ii−iii−i−i00000000000000i3−i300i3−i300003−33−3000000
χ472-22-2-222-2-22-1211-2-2-12-12i−2i2i−2i1-1-22-1-122-111-1-11-2111-21-1-11−ii2i−2i−i−iii−ii2i−2i−i−iii000000000000−i3i300−i3i3003−33−30000000000
χ482-22-2-222-2-22-1211-2-2-12-12i−2i2i−2i1-1-22-1-122-111-1-11-2111-21-1-11−ii2i−2i−i−iii−ii2i−2i−i−iii000000000000i3−i300i3−i300−33−330000000000
χ492-22-2-222-2-22-1211-2-2-12-1−2i2i−2i2i1-1-22-1-122-111-1-11-2111-21-1-11i−i−2i2iii−i−ii−i−2i2iii−i−i000000000000−i3i300−i3i300−33−330000000000
χ502-22-2-222-2-22-1211-2-2-12-1−2i2i−2i2i1-1-22-1-122-111-1-11-2111-21-1-11i−i−2i2iii−i−ii−i−2i2iii−i−i000000000000i3−i300i3−i3003−33−30000000000
χ512-22-2-22-222-222-2-2-2-22222-2-22-22-22-2-2-2-22-2-2-2-2222222-22-222-22-222-2-2-22-22-2-2220000000000000000000000000000000000
χ522-22-2-22-222-222-2-2-2-2222-222-2-22-22-2-2-2-22-2-2-2-2222222-22-22-22-22-2-2222-22-222-2-20000000000000000000000000000000000
χ532-22-2-22-222-22-1-2-2112-1-12-2-22-221-1-2-211-111112-1-1-12-11-11-12-2-11-1-111-221-111-1-100000000000000−i3i300i3−i30000−i3i3i3−i3000000
χ542-22-2-22-222-22-1-2-2112-1-12-2-22-221-1-2-211-111112-1-1-12-11-11-12-2-11-1-111-221-111-1-100000000000000i3−i300−i3i30000i3−i3−i3i3000000
χ552-22-2-22-222-22-1-2-2112-1-1-222-2-221-1-2-211-111112-1-1-12-11-11-1-221-111-1-12-2-11-1-11100000000000000−i3i300i3−i30000i3−i3−i3i3000000
χ562-22-2-22-222-22-1-2-2112-1-1-222-2-221-1-2-211-111112-1-1-12-11-11-1-221-111-1-12-2-11-1-11100000000000000i3−i300−i3i30000−i3i3i3−i3000000
χ572-22-2-22-222-2-1211-2-2-12-12-2-221-1-2211-2-2-11111-12-1-1-121-11-1-112-2-1-1111-1-2211-1-1000000000000−i3i300i3−i300−i3i3i3−i30000000000
χ582-22-2-22-222-2-1211-2-2-12-12-2-221-1-2211-2-2-11111-12-1-1-121-11-1-112-2-1-1111-1-2211-1-1000000000000i3−i300−i3i300i3−i3−i3i30000000000
χ592-22-2-22-222-2-1211-2-2-12-1-222-21-1-2211-2-2-11111-12-1-1-121-11-11-1-2211-1-1-112-2-1-111000000000000−i3i300i3−i300i3−i3−i3i30000000000
χ602-22-2-22-222-2-1211-2-2-12-1-222-21-1-2211-2-2-11111-12-1-1-121-11-11-1-2211-1-1-112-2-1-111000000000000i3−i300−i3i300−i3i3i3−i30000000000
χ614444444444-2-2-2-2-2-2-2-214444-2-2-2-2-2-2-2-211111-2-211-2-21111-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ624444444444-2-2-2-2-2-2-2-21-4-4-4-4-2-2-2-2-2-2-2-211111-2-211-2-211112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ63444444-4-4-4-4-2-2-2-2-2-2-2-214i4i−4i−4i-2-2-2-22222111-1-122-1-12211-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i0000000000000000000000000000000000
χ64444444-4-4-4-4-2-2-2-2-2-2-2-21−4i−4i4i4i-2-2-2-22222111-1-122-1-12211-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii0000000000000000000000000000000000
χ654444-4-44-44-44-244-2-24-2-20000-4-4224-4-22-2-2-222-42224-222-2-200000000000000000000000000000000000000000000000000
χ664444-4-44-44-4-24-2-244-24-2000022-4-4-224-4-2-2-2222-422-2422-2-200000000000000000000000000000000000000000000000000
χ674444-4-44-44-4-2-2-2-2-2-2-2-2100002222-22-22111-1-122-1-1-2-2-1-11100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000000
χ684444-4-44-44-4-2-2-2-2-2-2-2-2100002222-22-22111-1-122-1-1-2-2-1-1110000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000000
χ694444-4-4-44-444-244-2-24-2-20000-4-422-442-2-2-2-2-2-24-2-2-2-42222200000000000000000000000000000000000000000000000000
χ704444-4-4-44-44-24-2-244-24-2000022-4-42-2-44-2-2-2-2-2-24-2-22-4222200000000000000000000000000000000000000000000000000
χ714444-4-4-44-44-2-2-2-2-2-2-2-21000022222-22-211111-2-21122-1-1-1-100003-33-30000-33-330000000000000000000000000000000000
χ724444-4-4-44-44-2-2-2-2-2-2-2-21000022222-22-211111-2-21122-1-1-1-10000-33-3300003-33-30000000000000000000000000000000000
χ7344-4-4000000444-44-4-4-44000000000000-44-40000000000000000000000000000004i−4i000000000000000000000000000000
χ7444-4-4000000444-44-4-4-44000000000000-44-4000000000000000000000000000000−4i4i000000000000000000000000000000
χ754-44-44-444-4-44-2-4-4224-2-200004-4-224-4-22-222224-2-2-2-42-22-2200000000000000000000000000000000000000000000000000
χ764-44-44-444-4-4-2422-4-4-24-20000-224-4-224-4-22222-24-2-22-4-22-2200000000000000000000000000000000000000000000000000
χ774-44-44-444-4-4-2-22222-2-210000-22-22-22-221-1-1-1-1-2-211221-11-100003-3-3300003-3-330000000000000000000000000000000000
χ784-44-44-444-4-4-2-22222-2-210000-22-22-22-221-1-1-1-1-2-211221-11-10000-333-30000-333-30000000000000000000000000000000000
χ794-44-44-4-4-4444-2-4-4224-2-200004-4-22-442-2-222-2-2-42224-2-222-200000000000000000000000000000000000000000000000000
χ804-44-44-4-4-444-2422-4-4-24-20000-224-42-2-44-222-2-22-422-24-222-200000000000000000000000000000000000000000000000000
χ814-44-44-4-4-444-2-22222-2-210000-22-222-22-21-1-11122-1-1-2-21-1-1100003i−3i−3i3i0000−3i3i3i−3i0000000000000000000000000000000000
χ824-44-44-4-4-444-2-22222-2-210000-22-222-22-21-1-11122-1-1-2-21-1-110000−3i3i3i−3i00003i−3i−3i3i0000000000000000000000000000000000
χ834-44-4-444-4-44-2-22222-2-214i−4i4i−4i2-22-2-2-2-2-21-1-11122-1-122-111-1−2i2i−2i2iii−i−i−2i2i−2i2iii−i−i0000000000000000000000000000000000
χ844-44-4-444-4-44-2-22222-2-21−4i4i−4i4i2-22-2-2-2-2-21-1-11122-1-122-111-12i−2i2i−2i−i−iii2i−2i2i−2i−i−iii0000000000000000000000000000000000
χ854-44-4-44-444-4-2-22222-2-214-4-442-22-222221-1-1-1-1-2-211-2-2-11-11-22-2211-1-12-22-2-1-1110000000000000000000000000000000000
χ864-44-4-44-444-4-2-22222-2-21-444-42-22-222221-1-1-1-1-2-211-2-2-11-112-22-2-1-111-22-2211-1-10000000000000000000000000000000000
χ874-4-4400000044-44-44-4-44000000000000-4-4400000000000000000000000000004-400000000000000000000000000000000
χ884-4-4400000044-44-44-4-44000000000000-4-440000000000000000000000000000-4400000000000000000000000000000000
χ8988-8-80000008-48-8-44-84-40000000000004-4400000000000000000000000000000000000000000000000000000000000000
χ9088-8-8000000-48-448-84-8-40000000000004-4400000000000000000000000000000000000000000000000000000000000000
χ9188-8-8000000-4-4-44-44442000000000000-22-26-6006-600000000000000000000000000000000000000000000000000000000
χ9288-8-8000000-4-4-44-44442000000000000-22-2-6600-6600000000000000000000000000000000000000000000000000000000
χ938-8-880000008-4-884-4-84-400000000000044-400000000000000000000000000000000000000000000000000000000000000
χ948-8-88000000-484-4-884-8-400000000000044-400000000000000000000000000000000000000000000000000000000000000
χ958-8-88000000-4-44-44-4442000000000000-2-226-600-6600000000000000000000000000000000000000000000000000000000
χ968-8-88000000-4-44-44-4442000000000000-2-22-66006-600000000000000000000000000000000000000000000000000000000

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