Finite Group Databasebeta

← Group #11865819

Character table — Group #11865819

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order1222334466666644443446668812121212242424242244121212122661212121212122424242424242244466888812122424242466612124444661212121212242444488122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111111111111111111-1-111-11111-1-1-1-1111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-11111-1-111111-1-1-1-1111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1111111-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-1-1-1-111-1-1-11-1-1-111-1-111-1-1-11111
χ51111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-11111111111111-1-1-1-1-111-1-1-1-11-1-1-1-1111-1-111-1-1
χ61111111111111111111-1-1111111111111111-1-11111-1-1-1-1-1-1-11111111111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-111
χ71111111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1111-1-11111-1-11-1-111-1-11-1-1-1-111
χ81111111111111111111-1-1111-1-11111-1-1-1-111-1-11111111-1-1-1-111-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1-1-1111-1-1-1-11-111-1-1-11111-11111-1-1
χ911111111111111-1-1-1-11111111111111111-1-111-1-1-1-111111111111111111-1-11-1-1-1-11111-1-1-1-111111-1-1-11111-1-1-1-111-1-1-1-1-11-1
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
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11-1-111-1-1111111-1-1-111-1-11-1111-1-111-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1111111-1-1-1-1-11111111-1-11-1
χ1311111111111111-1-1-1-11-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111-111-1-1-11
χ1411111111111111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-1-11-1-1111-1
χ1511111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1111-1-111-1-1111111111-1-1-1-1-11-1-1111-1-1-1-1-111111-1
χ1611111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-11111-1-1-11111-1-11111111-1-111-1-111-111-1-1111-1-1-1-1-11
χ17222222-2-2222222222220022200-2-2-2-20000-2-22222220000000-2-20000000000-2-2-2000022000000000220000-2000000-2000000
χ18222222-2-2222222222220022200-2-2-2-20000-2-2-2-222220000000-2-200000000002-2-20000-2-2000000000-2-2000020000002000000
χ19222222-2-2222222-2-2-2-220022200-2-2-2-200002222-2-2-2-20000000-2-20000000000-222000022000000000-2-20000-20000002000000
χ20222222-2-2222222-2-2-2-220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000000002220000-2-20000000002200002000000-2000000
χ2122222-1222-1-12-120000-122-1-1-122-12-1222220022000022222-1-1-1-1-1-1-1-1-1-122002000022-1-10000-1-1-1-1-10002-1-1-10000-1-100000-10
χ2222222-1222-1-12-120000-122-1-1-122-12-12222200-2-2000022222-1-1-1-1-1-1-1-1-1-1-2-200-20000-2-2110000-1-1-1-1-1000-21110000110000010
χ2322222-1222-1-12-120000-122-1-1-1-2-2-12-12-2-2-2-200220000-2-2-222-1-1-1-1111111220020000-2-2-1-10000111-1-1000-2-1-1-10000110000010
χ2422222-1222-1-12-120000-122-1-1-1-2-2-12-12-2-2-2-200-2-20000-2-2-222-1-1-1-1111111-2-200-2000022110000111-1-100021110000-1-100000-10
χ2522222-1222-1-12-120000-1-2-2-1-1-122-12-12222200220000-2-2-2-2-211-1-1-1-1-1-1-1-1-2-2002000022-1-1000011111000-211-10000-1-10000010
χ2622222-1222-1-12-120000-1-2-2-1-1-122-12-12222200-2-20000-2-2-2-2-211-1-1-1-1-1-1-1-12200-20000-2-2110000111110002-1-1100001100000-10
χ2722222-1222-1-12-120000-1-2-2-1-1-1-2-2-12-12-2-2-2-200220000222-2-211-1-1111111-2-20020000-2-2-1-10000-1-1-111000211-100001100000-10
χ2822222-1222-1-12-120000-1-2-2-1-1-1-2-2-12-12-2-2-2-200-2-20000222-2-211-1-11111112200-2000022110000-1-1-111000-2-1-110000-1-10000010
χ292222-1222-122-12-12222-122-1-1-1222-12-1-1-1-1-12200-1-1-1-12-1-1-1-122-1-122-1-1-1-100220-1-1220000-1-1-1-12-1-1-1-10020000-1-1-1-1000000000
χ302222-1222-122-12-12222-122-1-1-1-2-22-12-111112200-1-1-1-1-211-1-122-1-1-2-2111100220-1-1-2-200001111-211-1-100-20000-1-111000000000
χ312222-1222-122-12-12222-1-2-2-1-1-1222-12-1-1-1-1-12200-1-1-1-1-21111-2-2-1-122-1-1-1-100-2-20-1-1220000-1-1-1-1-2111100-200001111000000000
χ322222-1222-122-12-12222-1-2-2-1-1-1-2-22-12-111112200-1-1-1-12-1-111-2-2-1-1-2-2111100-2-20-1-1-2-2000011112-1-111002000011-1-1000000000
χ332222-1222-122-12-1-2-2-2-2-122-1-1-1222-12-1-1-1-1-1-2-20011112-1-1-1-122-1-122-1-1-1-100-2-2011-2-2000011112-1-1-1-100-200001111000000000
χ342222-1222-122-12-1-2-2-2-2-122-1-1-1-2-22-12-11111-2-2001111-211-1-122-1-1-2-2111100-2-2011220000-1-1-1-1-211-1-1002000011-1-1000000000
χ352222-1222-122-12-1-2-2-2-2-1-2-2-1-1-1222-12-1-1-1-1-1-2-2001111-21111-2-2-1-122-1-1-1-10022011-2-200001111-211110020000-1-1-1-1000000000
χ362222-1222-122-12-1-2-2-2-2-1-2-2-1-1-1-2-22-12-11111-2-20011112-1-111-2-2-1-1-2-211110022011220000-1-1-1-12-1-11100-20000-1-111000000000
χ372-22-22200-22-22-2-22i2i−2i−2i2002-2-2−i2i20000−i2−i2i2i2002i−2i2i2i−2i−2i000000000−i2i2−i2−i2i2i200000002−22−22i−2i22−2−2000002-20000000002−2000−i2i200
χ382-22-22200-22-22-2-22i2i−2i−2i2002-2-2−i2i20000−i2−i2i2i200−2i2i2i2i−2i−2i000000000−i2i2−i2−i2i2i200000002−2−22−2i2i22−2−200000-22000000000−22000i2−i200
χ392-22-22200-22-22-2-22i2i−2i−2i2002-2-2i2−i20000i2i2−i2−i2002i−2i2i2i−2i−2i000000000i2−i2i2i2−i2−i20000000−22−222i−2i−2−222000002-2000000000−22000i2−i200
χ402-22-22200-22-22-2-22i2i−2i−2i2002-2-2i2−i20000i2i2−i2−i200−2i2i2i2i−2i−2i000000000i2−i2i2i2−i2−i20000000−222−2−2i2i−2−22200000-220000000002−2000−i2i200
χ412-22-22200-22-22-2-2−2i−2i2i2i2002-2-2−i2i20000−i2−i2i2i2002i−2i−2i−2i2i2i000000000−i2i2−i2−i2i2i20000000−222−22i−2i−2−22200000-220000000002−2000i2−i200
χ422-22-22200-22-22-2-2−2i−2i2i2i2002-2-2−i2i20000−i2−i2i2i200−2i2i−2i−2i2i2i000000000−i2i2−i2−i2i2i20000000−22−22−2i2i−2−222000002-2000000000−22000−i2i200
χ432-22-22200-22-22-2-2−2i−2i2i2i2002-2-2i2−i20000i2i2−i2−i2002i−2i−2i−2i2i2i000000000i2−i2i2i2−i2−i200000002−2−222i−2i22−2−200000-22000000000−22000−i2i200
χ442-22-22200-22-22-2-2−2i−2i2i2i2002-2-2i2−i20000i2i2−i2−i200−2i2i−2i−2i2i2i000000000i2−i2i2i2−i2−i200000002−22−2−2i2i22−2−2000002-20000000002−2000i2−i200
χ452-2-22222-2-2-2-2-2222-22-222i−2i-22-20022-2-200002-2002-22-20002i−2i2i−2i2-2000000002i−2i02-200000000000002i−2i00000002i−2i00000000000
χ462-2-22222-2-2-2-2-2222-22-22−2i2i-22-20022-2-200002-2002-22-2000−2i2i−2i2i2-200000000−2i2i02-20000000000000−2i2i0000000−2i2i00000000000
χ472-2-22222-2-2-2-2-222-22-2222i−2i-22-20022-2-20000-2200-22-220002i−2i2i−2i2-200000000−2i2i0-2200000000000002i−2i0000000−2i2i00000000000
χ482-2-22222-2-2-2-2-222-22-222−2i2i-22-20022-2-20000-2200-22-22000−2i2i−2i2i2-2000000002i−2i0-220000000000000−2i2i00000002i−2i00000000000
χ492-2-2222-22-2-2-2-2222-22-2200-22-200-2-2220000-22002-22-20000000-220000002-2000-2200000000000000000002-2000000002-20000
χ502-2-2222-22-2-2-2-2222-22-2200-22-200-2-2220000-22002-22-20000000-22000000-22000-220000000000000000000-2200000000-220000
χ512-2-2222-22-2-2-2-222-22-22200-22-200-2-22200002-200-22-220000000-220000002-20002-200000000000000000002-200000000-220000
χ522-2-2222-22-2-2-2-222-22-22200-22-200-2-22200002-200-22-220000000-22000000-220002-20000000000000000000-22000000002-20000
χ532-2-22-122-21-2-212-12-22-2-12i−2i1-11002-1-213−33−32-200-11-110−i3i3−ii2i−2i-11003−33−3002i−2i0-110000003−33−30−i3i3−ii0000000−ii−i3i3000000000
χ542-2-22-122-21-2-212-12-22-2-12i−2i1-11002-1-21−33−332-200-11-110i3−i3−ii2i−2i-1100−33−33002i−2i0-11000000−33−330i3−i3−ii0000000−iii3−i3000000000
χ552-2-22-122-21-2-212-12-22-2-1−2i2i1-11002-1-213−33−32-200-11-110i3−i3i−i−2i2i-11003−33−300−2i2i0-110000003−33−30i3−i3i−i0000000i−ii3−i3000000000
χ562-2-22-122-21-2-212-12-22-2-1−2i2i1-11002-1-21−33−332-200-11-110−i3i3i−i−2i2i-1100−33−3300−2i2i0-11000000−33−330−i3i3i−i0000000i−i−i3i3000000000
χ572-2-22-122-21-2-212-1-22-22-12i−2i1-11002-1-213−33−3-22001-11-10−i3i3−ii2i−2i-11003−33−300−2i2i01-1000000−33−330−i3i3−ii0000000i−ii3−i3000000000
χ582-2-22-122-21-2-212-1-22-22-12i−2i1-11002-1-21−33−33-22001-11-10i3−i3−ii2i−2i-1100−33−3300−2i2i01-10000003−33−30i3−i3−ii0000000i−i−i3i3000000000
χ592-2-22-122-21-2-212-1-22-22-1−2i2i1-11002-1-213−33−3-22001-11-10i3−i3i−i−2i2i-11003−33−3002i−2i01-1000000−33−330i3−i3i−i0000000−ii−i3i3000000000
χ602-2-22-122-21-2-212-1-22-22-1−2i2i1-11002-1-21−33−33-22001-11-10−i3i3i−i−2i2i-1100−33−33002i−2i01-10000003−33−30−i3i3i−i0000000−iii3−i3000000000
χ6144444-2-4-44-2-24-240000-200-2-2-2002-42-40000004400000000000220000000000-4000000-2-200000000000000020000000000000
χ6244444-2-4-44-2-24-240000-200-2-2-2002-42-4000000-4-400000000000220000000000400000022000000000000000-20000000000000
χ634444-24-4-4-244-24-24444-200-2-2-200-42-420000-4-400-2-2-2-2000000022000000000002200000000000000000000000000000000000
χ644444-24-4-4-244-24-2-4-4-4-4-200-2-2-200-42-4200004400222200000002200000000000-2-200000000000000000000000000000000000
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
χ664444-2-244-2-2-2-2-2-20000144111-4-4-2-2-2-2222200000000-422-2-2-2-21122-1-1-1-1000000000000000002-1-11100000000000000000000
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
χ684444-2-244-2-2-2-2-2-200001-4-4111-4-4-2-2-2-22222000000004-2-222221122-1-1-1-100000000000000000-211-1-100000000000000000000
χ6944-4-444004-44-4-4-44i−4i−4i4i400-4-44000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
χ7044-4-444004-44-4-4-4−4i4i4i−4i400-4-4400000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000
χ7144-4-4-2400-2-442-424i−4i−4i4i-20022-2000000i6−i6−i6i60000−2i2i2i−2i00000000000i6−i6−i6i60000000000000−666−60000000000000000000000000
χ7244-4-4-2400-2-442-424i−4i−4i4i-20022-2000000−i6i6i6−i60000−2i2i2i−2i00000000000−i6i6i6−i600000000000006−6−660000000000000000000000000
χ7344-4-4-2400-2-442-42−4i4i4i−4i-20022-2000000i6−i6−i6i600002i−2i−2i2i00000000000i6−i6−i6i600000000000006−6−660000000000000000000000000
χ7444-4-4-2400-2-442-42−4i4i4i−4i-20022-2000000−i6i6i6−i600002i−2i−2i2i00000000000−i6i6i6−i60000000000000−666−60000000000000000000000000
χ754-44-44-200-4-2242-40000-200-222−2i22i20000−2i2−2i22i22i2004i−4i0000000000000i2−i2i2i2−i2−i200000000022−22−2i2i00000000000000000000−220000000
χ764-44-44-200-4-2242-40000-200-222−2i22i20000−2i2−2i22i22i200−4i4i0000000000000i2−i2i2i2−i2−i2000000000−22222i−2i000000000000000000002−20000000
χ774-44-44-200-4-2242-40000-200-2222i2−2i200002i22i2−2i2−2i2004i−4i0000000000000−i2i2−i2−i2i2i2000000000−2222−2i2i000000000000000000002−20000000
χ784-44-44-200-4-2242-40000-200-2222i2−2i200002i22i2−2i2−2i200−4i4i0000000000000−i2i2−i2−i2i2i200000000022−222i−2i00000000000000000000−220000000
χ794-44-4-240024-4-2-424i4i−4i−4i-200-222−2i22i20000i2i2−i2−i20000−2i−2i2i2i000000000−2i22i2i2i2−i2−i2000000022−220000−2−2220000000000000000000000000
χ804-44-4-240024-4-2-424i4i−4i−4i-200-2222i2−2i20000−i2−i2i2i20000−2i−2i2i2i0000000002i2−2i2−i2−i2i2i20000000−2222000022−2−20000000000000000000000000
χ814-44-4-240024-4-2-42−4i−4i4i4i-200-222−2i22i20000i2i2−i2−i200002i2i−2i−2i000000000−2i22i2i2i2−i2−i20000000−2222000022−2−20000000000000000000000000
χ824-44-4-240024-4-2-42−4i−4i4i4i-200-2222i2−2i20000−i2−i2i2i200002i2i−2i−2i0000000002i2−2i2−i2−i2i2i2000000022−220000−2−2220000000000000000000000000
χ834-4-444-24-4-422-4-240000-24i−4i2-2200-242-40000000000000004i−4i−2i2i-2200000000000000000000000000−2i2i00000000000000000000
χ844-4-444-24-4-422-4-240000-2−4i4i2-2200-242-4000000000000000−4i4i2i−2i-22000000000000000000000000002i−2i00000000000000000000
χ854-4-444-2-44-422-4-240000-2002-22002-4-2400000000000000000002-20000004-4000000000000000000000000-2200000000000000
χ864-4-444-2-44-422-4-240000-2002-22002-4-2400000000000000000002-2000000-440000000000000000000000002-200000000000000
χ874-4-44-24-442-4-424-24-44-4-2002-2200-424-20000-4400-22-2200000002-2000000000002-200000000000000000000000000000000000
χ884-4-44-24-442-4-424-2-44-44-2002-2200-424-200004-4002-22-200000002-200000000000-2200000000000000000000000000000000000
χ894-4-44-2-24-42222-2-2000014i−4i-11-100-2-22223−2323−23000000000−2i32i3−2i2i−2i2i1-100−33−33000000000000000000i3−i3i−i00000000000000000000
χ904-4-44-2-24-42222-2-2000014i−4i-11-100-2-222−2323−23230000000002i3−2i3−2i2i−2i2i1-1003−33−3000000000000000000−i3i3i−i00000000000000000000
χ914-4-44-2-24-42222-2-200001−4i4i-11-100-2-22223−2323−230000000002i3−2i32i−2i2i−2i1-100−33−33000000000000000000−i3i3−ii00000000000000000000
χ924-4-44-2-24-42222-2-200001−4i4i-11-100-2-222−2323−2323000000000−2i32i32i−2i2i−2i1-1003−33−3000000000000000000i3−i3−ii00000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-400002002220044440000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9488-8-88-40084-4-84-80000-40044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-400-44-44440000200-2-220000002i6−2i6−2i62i60000000000000000000−i6i6i6−i6000000000000000000000000000000000000000000
χ9688-8-8-4-400-44-44440000200-2-22000000−2i62i62i6−2i60000000000000000000i6−i6−i6i6000000000000000000000000000000000000000000
χ978-88-8-4-4004-44-44400002002-2-2−4i24i200002i22i2−2i2−2i2000000000000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ988-88-8-4-4004-44-44400002002-2-24i2−4i20000−2i2−2i22i22i200000000000000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ998-8-88-4-4-884444-4-40000200-22-20044-4-40000000000000000000-22000000000000000000000000000000000000000000000000

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