Finite Group Databasebeta

← Group #11870686

Character table — Group #11870686

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order122233446666664444344666881212121224242424444412121212412121212121212122424242424242244488881212121224242424121212121244246666121212242424488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111111111111111111-1-1-111-1-11111-1-1111111111-1-11-111-1-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-111111-1-1111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-111-1-11111-111-1-11111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1-11111-1-1-11111
χ51111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-11-1-1111111111111-1-1-1-1-111-1-1-1-1-1-11-1-1111-1-111-1-1
χ61111111111111111111-1-1111111111111111-1-11111-1-1-1-1-1-1-11111111111-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-111-1-111
χ71111111111111111111-1-1111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-11-1-111111111-1-11-1-1-1-11-1-1-1-111
χ81111111111111111111-1-1111-1-11111-1-1-1-111-1-111111-1-111-1-111-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1-1-11-1-111-1-11-11111-1-1-111-11111-1-1
χ911111111111111-1-1-1-11111111111111111-1-111-1-1-1-1111111111111111111-1-111-1-1-1-111-1-1-1-111111-1-1-11-1-1111-1-111-1-1-1-1-11-1
χ1011111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-111111-11
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1-1111-1-1-1-111-1-1111111-111-1-1-1-11-111111-1-1-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1111111-1-1-1-1-111111-1-11-1
χ1311111111111111-1-1-1-11-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-111-1-111111-111-1-1-11
χ1411111111111111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-11-1-1111-1
χ1511111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1111-1-111-1-11111111-1-111-1-1-11-1-1-1-1111-1-1-111111-1
χ1611111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-111-1111111-1-1-1-111111-1-11111-1-1-1-111-111111-1-1-1-1-11
χ17222222-2-2222222222220022200-2-2-2-20000-2-22222220000000-2-200000000-2000000-2-22200000000022000000-20000-2000000
χ18222222-2-2222222222220022200-2-2-2-20000-2-2-2-222220000000-2-2000000002000000-2-2-2-2000000000-2-2000000200002000000
χ19222222-2-2222222-2-2-2-220022200-2-2-2-200002222-2-2-2-20000000-2-200000000-20000002222000000000-2-2000000-200002000000
χ20222222-2-2222222-2-2-2-220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000000200000022-2-20000000002200000020000-2000000
χ2122222-12222-1-1-122222-122-1-1-1222-1-12-1-1-1-12200-1-1-1-12-1-1-1-122-1-122-1-1-1-1000220022-1-100-1-1-1-12-1-1-1-10020-1-1000-1-1000000000
χ2222222-12222-1-1-122222-122-1-1-1-2-22-1-1211112200-1-1-1-1-2-1-11122-1-1-2-211110002200-2-2-1-1001111-2-1-11100-2011000-1-1000000000
χ2322222-12222-1-1-122222-1-2-2-1-1-1222-1-12-1-1-1-12200-1-1-1-1-21111-2-2-1-122-1-1-1-1000-2-20022-1-100-1-1-1-1-2111100-201100011000000000
χ2422222-12222-1-1-122222-1-2-2-1-1-1-2-22-1-1211112200-1-1-1-1211-1-1-2-2-1-1-2-21111000-2-200-2-2-1-1001111211-1-10020-1-100011000000000
χ2522222-12222-1-1-12-2-2-2-2-122-1-1-1222-1-12-1-1-1-1-2-20011112-1-1-1-122-1-122-1-1-1-1000-2-200-2-2110011112-1-1-1-100-201100011000000000
χ2622222-12222-1-1-12-2-2-2-2-122-1-1-1-2-22-1-121111-2-2001111-2-1-11122-1-1-2-21111000-2-200221100-1-1-1-1-2-1-1110020-1-100011000000000
χ2722222-12222-1-1-12-2-2-2-2-1-2-2-1-1-1222-1-12-1-1-1-1-2-2001111-21111-2-2-1-122-1-1-1-10002200-2-211001111-211110020-1-1000-1-1000000000
χ2822222-12222-1-1-12-2-2-2-2-1-2-2-1-1-1-2-22-1-121111-2-2001111211-1-1-2-2-1-1-2-211110002200221100-1-1-1-1211-1-100-2011000-1-1000000000
χ292222-1222-1-1222-10000-122-1-1-122-122-122220022000022222-1-1-1-1-1-1-1-1-1-122200220000-1-10000-1-1-1-1-1000200-1-1-100-1-100000-10
χ302222-1222-1-1222-10000-122-1-1-122-122-1222200-2-2000022222-1-1-1-1-1-1-1-1-1-1-2-2-200-2-20000110000-1-1-1-1-1000-20011100110000010
χ312222-1222-1-1222-10000-122-1-1-1-2-2-122-1-2-2-2-200220000-222-2-2-1-1-1-111111122200-2-20000-1-100001-1-111000-200-1-1-100110000010
χ322222-1222-1-1222-10000-122-1-1-1-2-2-122-1-2-2-2-200-2-20000-222-2-2-1-1-1-1111111-2-2-2002200001100001-1-11100020011100-1-100000-10
χ332222-1222-1-1222-10000-1-2-2-1-1-122-122-1222200220000-2-2-2-2-211-1-1-1-1-1-1-1-1-2-2200220000-1-1000011111000-20011-100-1-10000010
χ342222-1222-1-1222-10000-1-2-2-1-1-122-122-1222200-2-20000-2-2-2-2-211-1-1-1-1-1-1-1-122-200-2-2000011000011111000200-1-11001100000-10
χ352222-1222-1-1222-10000-1-2-2-1-1-1-2-2-122-1-2-2-2-2002200002-2-22211-1-1111111-2-2200-2-20000-1-10000-111-1-100020011-1001100000-10
χ362222-1222-1-1222-10000-1-2-2-1-1-1-2-2-122-1-2-2-2-200-2-200002-2-22211-1-111111122-200220000110000-111-1-1000-200-1-1100-1-10000010
χ372-22-22200-222-2-2-222-2-2200-22-2−i2i20000−i2−i2i2i2002i−2i22-2-2000000000−i2i2−i2−i2i2i2000002−2−i2i2002i−2i−i2−i2i2i2000002i−2i0000000002−20002−200
χ382-22-22200-222-2-2-222-2-2200-22-2−i2i20000−i2−i2i2i200−2i2i22-2-2000000000−i2i2−i2−i2i2i200000−22−i2i200−2i2i−i2−i2i2i200000−2i2i000000000−22000−2200
χ392-22-22200-222-2-2-222-2-2200-22-2i2−i20000i2i2−i2−i2002i−2i22-2-2000000000i2−i2i2i2−i2−i200000−22i2−i2002i−2ii2i2−i2−i2000002i−2i000000000−22000−2200
χ402-22-22200-222-2-2-222-2-2200-22-2i2−i20000i2i2−i2−i200−2i2i22-2-2000000000i2−i2i2i2−i2−i2000002−2i2−i200−2i2ii2i2−i2−i200000−2i2i0000000002−20002−200
χ412-22-22200-222-2-2-2-2-222200-22-2−i2i20000−i2−i2i2i2002i−2i-2-222000000000−i2i2−i2−i2i2i2000002−2i2−i2002i−2ii2i2−i2−i200000−2i2i0000000002−2000−2200
χ422-22-22200-222-2-2-2-2-222200-22-2−i2i20000−i2−i2i2i200−2i2i-2-222000000000−i2i2−i2−i2i2i200000−22i2−i200−2i2ii2i2−i2−i2000002i−2i000000000−220002−200
χ432-22-22200-222-2-2-2-2-222200-22-2i2−i20000i2i2−i2−i2002i−2i-2-222000000000i2−i2i2i2−i2−i200000−22−i2i2002i−2i−i2−i2i2i200000−2i2i000000000−220002−200
χ442-22-22200-222-2-2-2-2-222200-22-2i2−i20000i2i2−i2−i200−2i2i-2-222000000000i2−i2i2i2−i2−i2000002−2−i2i200−2i2i−i2−i2i2i2000002i−2i0000000002−2000−2200
χ452-2-22222-22-2-2-22-22i−2i2i−2i22i−2i2-2-200-22-2200002i−2i002i−2i2i−2i02i−2i002i−2i-220000000002-200002i−2i00000002i−2i000000000002-2000000000
χ462-2-22222-22-2-2-22-22i−2i2i−2i2−2i2i2-2-200-22-2200002i−2i002i−2i2i−2i0−2i2i00−2i2i-22000000000-2200002i−2i0000000−2i2i00000000000-22000000000
χ472-2-22222-22-2-2-22-2−2i2i−2i2i22i−2i2-2-200-22-220000−2i2i00−2i2i−2i2i02i−2i002i−2i-22000000000-220000−2i2i00000002i−2i00000000000-22000000000
χ482-2-22222-22-2-2-22-2−2i2i−2i2i2−2i2i2-2-200-22-220000−2i2i00−2i2i−2i2i0−2i2i00−2i2i-220000000002-20000−2i2i0000000−2i2i000000000002-2000000000
χ492-2-2222-222-2-2-22-22i−2i2i−2i2002-2-2002-22-20000−2i2i002i−2i2i−2i00000002-20000002-20000000−2i2i000000000000000002-20000002i−2i0000
χ502-2-2222-222-2-2-22-22i−2i2i−2i2002-2-2002-22-20000−2i2i002i−2i2i−2i00000002-2000000-220000000−2i2i00000000000000000-22000000−2i2i0000
χ512-2-2222-222-2-2-22-2−2i2i−2i2i2002-2-2002-22-200002i−2i00−2i2i−2i2i00000002-20000002-200000002i−2i000000000000000002-2000000−2i2i0000
χ522-2-2222-222-2-2-22-2−2i2i−2i2i2002-2-2002-22-200002i−2i00−2i2i−2i2i00000002-2000000-2200000002i−2i00000000000000000-220000002i−2i0000
χ532-2-222-12-22-211-1-22i−2i2i−2i-12i−2i-11100-2-112−i3i3−i3i32i−2i00−ii−ii0−ii3−32i−2i1-100−i3i3−i3i30002-20000−ii003−33−30−ii3−30000−i3i3000-11000000000
χ542-2-222-12-22-211-1-22i−2i2i−2i-12i−2i-11100-2-112i3−i3i3−i32i−2i00−ii−ii0−ii−332i−2i1-100i3−i3i3−i30002-20000−ii00−33−330−ii−330000i3−i3000-11000000000
χ552-2-222-12-22-211-1-22i−2i2i−2i-1−2i2i-11100-2-112−i3i3−i3i32i−2i00−ii−ii0i−i−33−2i2i1-100−i3i3−i3i3000-220000−ii003−33−30i−i−330000i3−i30001-1000000000
χ562-2-222-12-22-211-1-22i−2i2i−2i-1−2i2i-11100-2-112i3−i3i3−i32i−2i00−ii−ii0i−i3−3−2i2i1-100i3−i3i3−i3000-220000−ii00−33−330i−i3−30000−i3i30001-1000000000
χ572-2-222-12-22-211-1-2−2i2i−2i2i-12i−2i-11100-2-112−i3i3−i3i3−2i2i00i−ii−i0−ii3−32i−2i1-100−i3i3−i3i3000-220000i−i00−33−330−ii3−30000i3−i30001-1000000000
χ582-2-222-12-22-211-1-2−2i2i−2i2i-12i−2i-11100-2-112i3−i3i3−i3−2i2i00i−ii−i0−ii−332i−2i1-100i3−i3i3−i3000-220000i−i003−33−30−ii−330000−i3i30001-1000000000
χ592-2-222-12-22-211-1-2−2i2i−2i2i-1−2i2i-11100-2-112−i3i3−i3i3−2i2i00i−ii−i0i−i−33−2i2i1-100−i3i3−i3i30002-20000i−i00−33−330i−i−330000−i3i3000-11000000000
χ602-2-222-12-22-211-1-2−2i2i−2i2i-1−2i2i-11100-2-112i3−i3i3−i3−2i2i00i−ii−i0i−i3−3−2i2i1-100i3−i3i3−i30002-20000i−i003−33−30i−i3−30000i3−i3000-11000000000
χ6144444-2-4-444-2-2-244444-200-2-2-200-422-40000-4-400-2-2-2-2000000022000000000000000220000000000000000000000000000000
χ6244444-2-4-444-2-2-24-4-4-4-4-200-2-2-200-422-4000044002222000000022000000000000000-2-20000000000000000000000000000000
χ634444-24-4-4-2-2444-20000-200-2-2-2002-4-4200000044000000000002200000000-400000000-2-200000000000000000200000000000
χ644444-24-4-4-2-2444-20000-200-2-2-2002-4-42000000-4-40000000000022000000004000000002200000000000000000-200000000000
χ654444-2-244-2-2-2-2-2-2000014411144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-2111100000000000000000-2111100000000000000000000
χ664444-2-244-2-2-2-2-2-20000144111-4-4-2-2-2-2222200000000-4-2-222-2-21122-1-1-1-100000000000000000211-1-100000000000000000000
χ674444-2-244-2-2-2-2-2-200001-4-411144-2-2-2-2-2-2-2-200000000-422222211-2-21111000000000000000002-1-1-1-100000000000000000000
χ684444-2-244-2-2-2-2-2-200001-4-4111-4-4-2-2-2-2222200000000422-2-2221122-1-1-1-100000000000000000-2-1-11100000000000000000000
χ6944-4-44400-4-4-44-444i−4i−4i4i400-4-44000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
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χ7144-4-44-200-4-42-2244i−4i−4i4i-20022-20000006−6−660000−2i2i2i−2i000000000006−6−660000000000000i6−i6−i6i60000000000000000000000000
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χ774-44-44-200-44-222-4-4-444-2002-22−2i22i20000i2i2−i2−i2000022-2-2000000000−2i22i2i2i2−i2−i200000002i2−2i20000−i2−i2i2i20000000000000000000000000
χ784-44-44-200-44-222-4-4-444-2002-222i2−2i20000−i2−i2i2i2000022-2-20000000002i2−2i2−i2−i2i2i20000000−2i22i20000i2i2−i2−i20000000000000000000000000
χ794-44-4-24002-24-4-420000-2002-22−2i22i20000−2i2−2i22i22i2004i−4i0000000000000i2−i2i2i2−i2−i20000022−220000−2i2i00000000000000000000−220000000
χ804-44-4-24002-24-4-420000-2002-22−2i22i20000−2i2−2i22i22i200−4i4i0000000000000i2−i2i2i2−i2−i200000−222200002i−2i000000000000000000002−20000000
χ814-44-4-24002-24-4-420000-2002-222i2−2i200002i22i2−2i2−2i2004i−4i0000000000000−i2i2−i2−i2i2i200000−22220000−2i2i000000000000000000002−20000000
χ824-44-4-24002-24-4-420000-2002-222i2−2i200002i22i2−2i2−2i200−4i4i0000000000000−i2i2−i2−i2i2i20000022−2200002i−2i00000000000000000000−220000000
χ834-4-444-2-444-422-2-44i−4i4i−4i-200-2220042-2-40000−4i4i00−2i2i−2i2i0000000-220000000000000002i−2i0000000000000000000000000000000
χ844-4-444-2-444-422-2-4−4i4i−4i4i-200-2220042-2-400004i−4i002i−2i2i−2i0000000-22000000000000000−2i2i0000000000000000000000000000000
χ854-4-44-244-4-22-4-4420000-24i−4i-2220024-4-200000000000004i−4i00−2i2i2-2000000000000000000000000−2i2i0000000000000000000000
χ864-4-44-244-4-22-4-4420000-2−4i4i-2220024-4-20000000000000−4i4i002i−2i2-20000000000000000000000002i−2i0000000000000000000000
χ874-4-44-24-44-22-4-4420000-200-22200-2-4420000000000000000000-220000004-400000000000000000000000000-22000000000000
χ884-4-44-24-44-22-4-4420000-200-22200-2-4420000000000000000000-22000000-44000000000000000000000000002-2000000000000
χ894-4-44-2-24-4-2222-22000014i−4i1-1-1002-22-2−2i32i3−2i32i3000000000−2i2i23−23−2i2i-1100i3−i3i3−i3000000000000000000i−i−3300000000000000000000
χ904-4-44-2-24-4-2222-22000014i−4i1-1-1002-22-22i3−2i32i3−2i3000000000−2i2i−2323−2i2i-1100−i3i3−i3i3000000000000000000i−i3−300000000000000000000
χ914-4-44-2-24-4-2222-2200001−4i4i1-1-1002-22-2−2i32i3−2i32i30000000002i−2i−23232i−2i-1100i3−i3i3−i3000000000000000000−ii3−300000000000000000000
χ924-4-44-2-24-4-2222-2200001−4i4i1-1-1002-22-22i3−2i32i3−2i30000000002i−2i23−232i−2i-1100−i3i3−i3i3000000000000000000−ii−3300000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-400002002220044440000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9488-8-8-480044-88-8-40000-40044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-400444-44-40000200-2-2200000026−26−26260000000000000000000−666−6000000000000000000000000000000000000000000
χ9688-8-8-4-400444-44-40000200-2-22000000−262626−2600000000000000000006−6−66000000000000000000000000000000000000000000
χ978-88-8-4-4004-4-44440000200-22-2−4i24i200002i22i2−2i2−2i2000000000000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ988-88-8-4-4004-4-44440000200-22-24i2−4i20000−2i2−2i22i22i200000000000000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ998-8-88-4-4-88-4444-4400002002-2-200-44-4400000000000000000002-2000000000000000000000000000000000000000000000000

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