Finite Group Databasebeta

← Group #11870826

Character table — Group #11870826

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order1222334466666644443446668812121212242424244444121212124121212121212121224242424242444444888812121212242424241212121212224412121212121212242444488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111111111111111111111-111-1-1-1-111-1-111111111111-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-111-1-111-1-11111-1-11-1-1111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-1-1-1111111-111-1-11111-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-111-1-1-1-11-1-1-111-1-1-111-1-1-11111
χ51111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1111111111-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111-1-1
χ61111111111111111111-1-11111111111111-1-1111111-1-1-1-1-1-1-111111111-1-1-111-1-111-1-1111111-1-1-1-1-1-1-11-111-1-1-1-1-1-1-111-1-1-111
χ71111111111111111111-1-1111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111111-1-1-1-1111-1-1-1-11-1-111
χ81111111111111111111-1-1111-1-11111-1-1-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-1-111-1-1-1111-1-111-11111-111-1-1
χ911111111111111-1-1-1-1111111111111111111-1-1-1-1-1-11111111111111111-1-11111-1-111-1-1-1-1-1-111111-1-11-111-1-1-1-1111-1-1-1-1-11-1
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
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-1-111-1-11111-1-11111-111-1-1-1-1-1111-1-1111-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-11111-1-1-1-111-111111-1-11-1
χ1311111111111111-1-1-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-11
χ1411111111111111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-11111-1
χ1511111111111111-1-1-1-11-1-1111-1-11111-1-1-1-111-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1111-1-1-1-11111-1-111111-1-111-1-11-1-1-111-1-11-1-111-1111-1
χ1611111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-111111111-1-1-1-111111-1-11111-1-11111-1-1-111-1-11-1-1-11
χ17222222-2-2222222222220022200-2-2-2-2000022-2-222220000000-2-2000000-20000000022-2-20000000002200000000-20000-20000
χ18222222-2-2222222222220022200-2-2-2-20000-2-2-2-222220000000-2-2000000200000000-2-2-2-2000000000-2-2000000002000020000
χ19222222-2-2222222-2-2-2-220022200-2-2-2-200002222-2-2-2-20000000-2-2000000-2000000002222000000000-2-200000000-2000020000
χ20222222-2-2222222-2-2-2-220022200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000200000000-2-222000000000220000000020000-20000
χ2122222-1222-12-12-10000-122-1-1-122-122-122222200000022222-1-1-1-1-1-1-1-1-1-1200222200-1-1000000-1-1-1-1-10020-1-10000-1-1-100000-10
χ2222222-1222-12-12-10000-122-1-1-122-122-12222-2-200000022222-1-1-1-1-1-1-1-1-1-1-200-2-2-2-20011000000-1-1-1-1-100-201100001110000010
χ2322222-1222-12-12-10000-122-1-1-1-2-2-122-1-2-2-2-222000000-222-2-2-1-1-1-111111120022-2-200-1-10000001-1-11100-20-1-10000-1110000010
χ2422222-1222-12-12-10000-122-1-1-1-2-2-122-1-2-2-2-2-2-2000000-222-2-2-1-1-1-1111111-200-2-22200110000001-1-11100201100001-1-100000-10
χ2522222-1222-12-12-10000-1-2-2-1-1-122-122-1222222000000-2-2-2-2-211-1-1-1-1-1-1-1-1200-2-22200-1-10000001111100-20110000-1-1-10000010
χ2622222-1222-12-12-10000-1-2-2-1-1-122-122-12222-2-2000000-2-2-2-2-211-1-1-1-1-1-1-1-1-20022-2-20011000000111110020-1-1000011100000-10
χ2722222-1222-12-12-10000-1-2-2-1-1-1-2-2-122-1-2-2-2-2220000002-2-22211-1-1111111200-2-2-2-200-1-1000000-111-1-10020110000-11100000-10
χ2822222-1222-12-12-10000-1-2-2-1-1-1-2-2-122-1-2-2-2-2-2-20000002-2-22211-1-1111111-20022220011000000-111-1-100-20-1-100001-1-10000010
χ292222-1222-12-12-122222-122-1-1-1222-1-12-1-1-1-10022-1-1-1-12-1-1-1-122-1-122-1-1-1-102200002200-1-1-1-1-1-12-1-1-1-1000200-1-1-1-10000000000
χ302222-1222-12-12-122222-122-1-1-1-2-22-1-1211110022-1-1-1-1-2-1-11122-1-1-2-211110220000-2-200-1-11111-2-1-111000-200-1-1110000000000
χ312222-1222-12-12-122222-1-2-2-1-1-1222-1-12-1-1-1-10022-1-1-1-1-21111-2-2-1-122-1-1-1-10-2-200002200-1-1-1-1-1-1-21111000-20011110000000000
χ322222-1222-12-12-122222-1-2-2-1-1-1-2-22-1-1211110022-1-1-1-1211-1-1-2-2-1-1-2-211110-2-20000-2-200-1-11111211-1-100020011-1-10000000000
χ332222-1222-12-12-12-2-2-2-2-122-1-1-1222-1-12-1-1-1-100-2-211112-1-1-1-122-1-122-1-1-1-10-2-20000-2-2001111112-1-1-1-1000-20011110000000000
χ342222-1222-12-12-12-2-2-2-2-122-1-1-1-2-22-1-12111100-2-21111-2-1-11122-1-1-2-211110-2-20000220011-1-1-1-1-2-1-11100020011-1-10000000000
χ352222-1222-12-12-12-2-2-2-2-1-2-2-1-1-1222-1-12-1-1-1-100-2-21111-21111-2-2-1-122-1-1-1-10220000-2-200111111-21111000200-1-1-1-10000000000
χ362222-1222-12-12-12-2-2-2-2-1-2-2-1-1-1-2-22-1-12111100-2-21111211-1-1-2-2-1-1-2-211110220000220011-1-1-1-1211-1-1000-200-1-1110000000000
χ3722-2-2220022-2-2-2-222-2-22002-2-22−2000022−2−22-20022-2-20000000002−222−2−2000002−22−22-20022−2−2000002-20000000002−20002−200
χ3822-2-2220022-2-2-2-222-2-22002-2-22−2000022−2−2-220022-2-20000000002−222−2−200000−222−2-220022−2−200000-22000000000−22000−2200
χ3922-2-2220022-2-2-2-222-2-22002-2-2−220000−2−2222-20022-2-2000000000−22−2−22200000−22−222-200−2−222000002-2000000000−22000−2200
χ4022-2-2220022-2-2-2-222-2-22002-2-2−220000−2−222-220022-2-2000000000−22−2−222000002−2−22-2200−2−22200000-220000000002−20002−200
χ4122-2-2220022-2-2-2-2-2-2222002-2-22−2000022−2−22-200-2-2220000000002−222−2−2000002−2−222-200−2−22200000-220000000002−2000−2200
χ4222-2-2220022-2-2-2-2-2-2222002-2-22−2000022−2−2-2200-2-2220000000002−222−2−200000−22−22-2200−2−222000002-2000000000−220002−200
χ4322-2-2220022-2-2-2-2-2-2222002-2-2−220000−2−2222-200-2-222000000000−22−2−22200000−222−22-20022−2−200000-22000000000−220002−200
χ4422-2-2220022-2-2-2-2-2-2222002-2-2−220000−2−222-2200-2-222000000000−22−2−222000002−22−2-220022−2−2000002-20000000002−2000−2200
χ452-2-22222-2-2-2-222-22i−2i2i−2i22i−2i-22-200-22-220000002i−2i2i−2i2i−2i02i−2i002i−2i-2200000002-2000000002i−2i000002i−2i000000002-2000000000000
χ462-2-22222-2-2-2-222-22i−2i2i−2i2−2i2i-22-200-22-220000002i−2i2i−2i2i−2i0−2i2i00−2i2i-220000000-22000000002i−2i00000−2i2i00000000-22000000000000
χ472-2-22222-2-2-2-222-2−2i2i−2i2i22i−2i-22-200-22-22000000−2i2i−2i2i−2i2i02i−2i002i−2i-220000000-2200000000−2i2i000002i−2i00000000-22000000000000
χ482-2-22222-2-2-2-222-2−2i2i−2i2i2−2i2i-22-200-22-22000000−2i2i−2i2i−2i2i0−2i2i00−2i2i-2200000002-200000000−2i2i00000−2i2i000000002-2000000000000
χ492-2-2222-22-2-2-222-22i−2i2i−2i200-22-2002-22-2000000−2i2i2i−2i2i−2i00000002-20000000002-2000000−2i2i00000000000002-200000002i−2i00000
χ502-2-2222-22-2-2-222-22i−2i2i−2i200-22-2002-22-2000000−2i2i2i−2i2i−2i00000002-2000000000-22000000−2i2i0000000000000-220000000−2i2i00000
χ512-2-2222-22-2-2-222-2−2i2i−2i2i200-22-2002-22-20000002i−2i−2i2i−2i2i00000002-20000000002-20000002i−2i00000000000002-20000000−2i2i00000
χ522-2-2222-22-2-2-222-2−2i2i−2i2i200-22-2002-22-20000002i−2i−2i2i−2i2i00000002-2000000000-220000002i−2i0000000000000-2200000002i−2i00000
χ532-2-22-122-21-212-1-22i−2i2i−2i-12i−2i1-1100-2-112−i3i3−i3i3002i−2i−ii−ii0−ii3−32i−2i1-100−i3i3−i3i302-200000000−ii3−33−30−ii3−3000000-11−i3i30000000000
χ542-2-22-122-21-212-1-22i−2i2i−2i-12i−2i1-1100-2-112i3−i3i3−i3002i−2i−ii−ii0−ii−332i−2i1-100i3−i3i3−i302-200000000−ii−33−330−ii−33000000-11i3−i30000000000
χ552-2-22-122-21-212-1-22i−2i2i−2i-1−2i2i1-1100-2-112−i3i3−i3i3002i−2i−ii−ii0i−i−33−2i2i1-100−i3i3−i3i30-2200000000−ii3−33−30i−i−330000001-1i3−i30000000000
χ562-2-22-122-21-212-1-22i−2i2i−2i-1−2i2i1-1100-2-112i3−i3i3−i3002i−2i−ii−ii0i−i3−3−2i2i1-100i3−i3i3−i30-2200000000−ii−33−330i−i3−30000001-1−i3i30000000000
χ572-2-22-122-21-212-1-2−2i2i−2i2i-12i−2i1-1100-2-112−i3i3−i3i300−2i2ii−ii−i0−ii3−32i−2i1-100−i3i3−i3i30-2200000000i−i−33−330−ii3−30000001-1i3−i30000000000
χ582-2-22-122-21-212-1-2−2i2i−2i2i-12i−2i1-1100-2-112i3−i3i3−i300−2i2ii−ii−i0−ii−332i−2i1-100i3−i3i3−i30-2200000000i−i3−33−30−ii−330000001-1−i3i30000000000
χ592-2-22-122-21-212-1-2−2i2i−2i2i-1−2i2i1-1100-2-112−i3i3−i3i300−2i2ii−ii−i0i−i−33−2i2i1-100−i3i3−i3i302-200000000i−i−33−330i−i−33000000-11−i3i30000000000
χ602-2-22-122-21-212-1-2−2i2i−2i2i-1−2i2i1-1100-2-112i3−i3i3−i300−2i2ii−ii−i0i−i3−3−2i2i1-100i3−i3i3−i302-200000000i−i3−33−30i−i3−3000000-11i3−i30000000000
χ6144444-2-4-44-24-24-20000-200-2-2-2002-4-42000044000000000000022000000-400000000-2-20000000000000000000002000000000
χ6244444-2-4-44-24-24-20000-200-2-2-2002-4-420000-4-400000000000002200000040000000022000000000000000000000-2000000000
χ634444-24-4-4-24-24-244444-200-2-2-200-422-4000000-4-4-2-2-2-2000000022000000000000000002200000000000000000000000000000
χ644444-24-4-4-24-24-24-4-4-4-4-200-2-2-200-422-400000044222200000002200000000000000000-2-200000000000000000000000000000
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
χ6944-4-44-2004-2-42-420000-200-22222−2200002222−22−224-4000000000000000−22−2−2220000022−2200-220000000000000000000000−220000000
χ7044-4-44-2004-2-42-420000-200-22222−2200002222−22−22-44000000000000000−22−2−22200000−2222002-200000000000000000000002−20000000
χ7144-4-44-2004-2-42-420000-200-222−22220000−22−2222224-40000000000000002−222−2−200000−222200-2200000000000000000000002−20000000
χ7244-4-44-2004-2-42-420000-200-222−22220000−22−222222-440000000000000002−222−2−20000022−22002-20000000000000000000000−220000000
χ7344-4-4-2400-242-42-444-4-4-200-22222−220000−2−2220000-2-22200000000022−22−2−222000000022−220000−2−2220000000000000000000000000
χ7444-4-4-2400-242-42-444-4-4-200-222−2222000022−2−20000-2-222000000000−222222−2−20000000−2222000022−2−20000000000000000000000000
χ7544-4-4-2400-242-42-4-4-444-200-22222−220000−2−222000022-2-200000000022−22−2−2220000000−2222000022−2−20000000000000000000000000
χ7644-4-4-2400-242-42-4-4-444-200-222−2222000022−2−2000022-2-2000000000−222222−2−2000000022−220000−2−2220000000000000000000000000
χ774-44-44400-4-44-4-444i−4i−4i4i400-4-44000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
χ784-44-44400-4-44-4-44−4i4i4i−4i400-4-4400000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000
χ794-44-4-24002-4-2-4244i−4i−4i4i-20022-2000000i6−i6−i6i60000−2i2i2i−2i00000000000i6−i6−i6i60000000000000−666−60000000000000000000000000
χ804-44-4-24002-4-2-4244i−4i−4i4i-20022-2000000−i6i6i6−i60000−2i2i2i−2i00000000000−i6i6i6−i600000000000006−6−660000000000000000000000000
χ814-44-4-24002-4-2-424−4i4i4i−4i-20022-2000000i6−i6−i6i600002i−2i−2i2i00000000000i6−i6−i6i600000000000006−6−660000000000000000000000000
χ824-44-4-24002-4-2-424−4i4i4i−4i-20022-2000000−i6i6i6−i600002i−2i−2i2i00000000000−i6i6i6−i60000000000000−666−60000000000000000000000000
χ834-4-444-24-4-42-4-2420000-24i−4i2-220024-4-200000000000004i−4i00−2i2i2-2000000000000000000000000−2i2i0000000000000000000000
χ844-4-444-24-4-42-4-2420000-2−4i4i2-220024-4-20000000000000−4i4i002i−2i2-20000000000000000000000002i−2i0000000000000000000000
χ854-4-444-2-44-42-4-2420000-2002-2200-2-4420000000000000000000-220000000004-4000000000000000000000-2200000000000000
χ864-4-444-2-44-42-4-2420000-2002-2200-2-4420000000000000000000-22000000000-440000000000000000000002-200000000000000
χ874-4-44-24-442-424-2-44i−4i4i−4i-2002-220042-2-4000000−4i4i−2i2i−2i2i0000000-22000000000000000002i−2i00000000000000000000000000000
χ884-4-44-24-442-424-2-4−4i4i−4i4i-2002-220042-2-40000004i−4i2i−2i2i−2i0000000-2200000000000000000−2i2i00000000000000000000000000000
χ894-4-44-2-24-4222-2-22000014i−4i-11-1002-22-2−2i32i3−2i32i3000000000−2i2i23−23−2i2i-1100i3−i3i3−i3000000000000000000i−i−3300000000000000000000
χ904-4-44-2-24-4222-2-22000014i−4i-11-1002-22-22i3−2i32i3−2i3000000000−2i2i−2323−2i2i-1100−i3i3−i3i3000000000000000000i−i3−300000000000000000000
χ914-4-44-2-24-4222-2-2200001−4i4i-11-1002-22-2−2i32i3−2i32i30000000002i−2i−23232i−2i-1100i3−i3i3−i3000000000000000000−ii3−300000000000000000000
χ924-4-44-2-24-4222-2-2200001−4i4i-11-1002-22-22i3−2i32i3−2i30000000002i−2i23−232i−2i-1100−i3i3−i3i3000000000000000000−ii−3300000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-400002002220044440000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9488-8-8-4-400-4-4444400002002-2-242−420000−22−22222200000000000000000−222222−2−2000000000000000000000000000000000000000000
χ9588-8-8-4-400-4-4444400002002-2-2−424200002222−22−220000000000000000022−22−2−222000000000000000000000000000000000000000000
χ968-88-88-400-8484-8-40000-40044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-40044-444-40000200-2-220000002i6−2i6−2i62i60000000000000000000−i6i6i6−i6000000000000000000000000000000000000000000
χ988-88-8-4-40044-444-40000200-2-22000000−2i62i62i6−2i60000000000000000000i6−i6−i6i6000000000000000000000000000000000000000000
χ998-8-88-4-4-88444-4-440000200-22-200-44-4400000000000000000002-2000000000000000000000000000000000000000000000000

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