Finite Group Databasebeta

← Group #11870729

Character table — Group #11870729

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order12223344666666444434466688121212122424242444441212121241212121212121212242424242424444448888121212122424242412121212122224661212121212242444488122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111111111111111111111111-1-1-1-1-11111-1-1111111111-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-1-1-1111111-11111-1-111-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1-1-1-1-1-111-1-1-11-1-111-1-1-111-1-1-11111
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
χ61111111111111111111-1-11111111111111-1-1111111-1-1-1-1-1-1-111111111-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-111-1-111
χ71111111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1111-1-1111111-1-11-1-1-1-11-1-1-1-111
χ81111111111111111111-1-1111-1-11111-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111-1-1-1-11-111-1-1-11111-11111-1-1
χ911111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111-1-111111-1-1-1-111-1-1-1-111111-1-1-11-1-1-1-111111-1-1-1-1-11-1
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
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111-1-111-1-1111111-1-1-111-1-11-111-1-1111-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111111111-1-1-1-1-111111-1-11-1
χ1311111111111111-1-1-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-111111-1-111-111-1-1-11
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
χ1511111111111111-1-1-1-11-1-1111-1-11111-1-1-1-111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111-1-1-1-111-1-1111111111-1-1-1-1-11-1-1111-1-1-1-1-111111-1
χ1611111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1111111-1-1-1-11111111-1-111-1-1-1-111-111111-1-1-1-1-11
χ17222222-2-2222222222220022200-2-2-2-2000022-2-222220000000-2-200000000-2000000-2-22200000000022000000-20000-2000000
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
χ20222222-2-2222222-2-2-2-220022200-2-2-2-20000-2-222-2-2-2-20000000-2-200000000200000022-2-20000000002200000020000-2000000
χ2122222-1222-1-12-122222-122-1-1-1222-1-12-1-1-1-10022-1-1-1-1222-1-1-1-1-1-122-1-1-1-1220000022-1-100-1-1-1-12-1-1-1-10020-1-1-1-1000000000000
χ2222222-1222-1-12-122222-122-1-1-1-2-22-1-1211110022-1-1-1-1-222-1-111-1-1-2-211112200000-2-2-1-1001111-211-1-100-2011-1-1000000000000
χ2322222-1222-1-12-122222-1-2-2-1-1-1222-1-12-1-1-1-10022-1-1-1-1-2-2-21111-1-122-1-1-1-1-2-20000022-1-100-1-1-1-1-2111100-201111000000000000
χ2422222-1222-1-12-122222-1-2-2-1-1-1-2-22-1-1211110022-1-1-1-12-2-211-1-1-1-1-2-21111-2-200000-2-2-1-10011112-1-1110020-1-111000000000000
χ2522222-1222-1-12-12-2-2-2-2-122-1-1-1222-1-12-1-1-1-100-2-21111222-1-1-1-1-1-122-1-1-1-1-2-200000-2-2110011112-1-1-1-100-201111000000000000
χ2622222-1222-1-12-12-2-2-2-2-122-1-1-1-2-22-1-12111100-2-21111-222-1-111-1-1-2-21111-2-200000221100-1-1-1-1-211-1-10020-1-111000000000000
χ2722222-1222-1-12-12-2-2-2-2-1-2-2-1-1-1222-1-12-1-1-1-100-2-21111-2-2-21111-1-122-1-1-1-12200000-2-211001111-211110020-1-1-1-1000000000000
χ2822222-1222-1-12-12-2-2-2-2-1-2-2-1-1-1-2-22-1-12111100-2-211112-2-211-1-1-1-1-2-211112200000221100-1-1-1-12-1-11100-2011-1-1000000000000
χ292222-1222-122-12-10000-122-1-1-122-122-12222220000002-1-12222-1-1-1-1-1-1-1-100222220000-1-10000-1-1-1-1-100020000-1-1-1-1-100000-10
χ302222-1222-122-12-10000-122-1-1-122-122-12222-2-20000002-1-12222-1-1-1-1-1-1-1-100-2-2-2-2-20000110000-1-1-1-1-1000-20000111110000010
χ312222-1222-122-12-10000-122-1-1-1-2-2-122-1-2-2-2-222000000-2-1-122-2-2-1-111111100222-2-20000-1-10000111-1-1000-20000-1-1-1110000010
χ322222-1222-122-12-10000-122-1-1-1-2-2-122-1-2-2-2-2-2-2000000-2-1-122-2-2-1-111111100-2-2-2220000110000111-1-100020000111-1-100000-10
χ332222-1222-122-12-10000-1-2-2-1-1-122-122-1222222000000-211-2-2-2-2-1-1-1-1-1-1-1-1002-2-2220000-1-1000011111000-20000-111-1-10000010
χ342222-1222-122-12-10000-1-2-2-1-1-122-122-12222-2-2000000-211-2-2-2-2-1-1-1-1-1-1-1-100-222-2-2000011000011111000200001-1-11100000-10
χ352222-1222-122-12-10000-1-2-2-1-1-1-2-2-122-1-2-2-2-222000000211-2-222-1-1111111002-2-2-2-20000-1-10000-1-1-11100020000-1111100000-10
χ362222-1222-122-12-10000-1-2-2-1-1-1-2-2-122-1-2-2-2-2-2-2000000211-2-222-1-111111100-222220000110000-1-1-111000-200001-1-1-1-10000010
χ3722-2-22200-2-22-2-2222-2-2200-22-2−i2i20000−i2−i2i2i22-20022-2-2000000000−i2i2−i2−i2i2i200000−i2i2−i2i2002-2−i2−i2i2i2000002-2000000000−i2i2000−i2i200
χ3822-2-22200-2-22-2-2222-2-2200-22-2−i2i20000−i2−i2i2i2-220022-2-2000000000−i2i2−i2−i2i2i200000i2−i2−i2i200-22−i2−i2i2i200000-22000000000i2−i2000i2−i200
χ3922-2-22200-2-22-2-2222-2-2200-22-2i2−i20000i2i2−i2−i22-20022-2-2000000000i2−i2i2i2−i2−i200000i2−i2i2−i2002-2i2i2−i2−i2000002-2000000000i2−i2000i2−i200
χ4022-2-22200-2-22-2-2222-2-2200-22-2i2−i20000i2i2−i2−i2-220022-2-2000000000i2−i2i2i2−i2−i200000−i2i2i2−i200-22i2i2−i2−i200000-22000000000−i2i2000−i2i200
χ4122-2-22200-2-22-2-22-2-222200-22-2−i2i20000−i2−i2i2i22-200-2-222000000000−i2i2−i2−i2i2i200000−i2i2i2−i2002-2i2i2−i2−i200000-22000000000−i2i2000i2−i200
χ4222-2-22200-2-22-2-22-2-222200-22-2−i2i20000−i2−i2i2i2-2200-2-222000000000−i2i2−i2−i2i2i200000i2−i2i2−i200-22i2i2−i2−i2000002-2000000000i2−i2000−i2i200
χ4322-2-22200-2-22-2-22-2-222200-22-2i2−i20000i2i2−i2−i22-200-2-222000000000i2−i2i2i2−i2−i200000i2−i2−i2i2002-2−i2−i2i2i200000-22000000000i2−i2000−i2i200
χ4422-2-22200-2-22-2-22-2-222200-22-2i2−i20000i2i2−i2−i2-2200-2-222000000000i2−i2i2i2−i2−i200000−i2i2−i2i200-22−i2−i2i2i2000002-2000000000−i2i2000i2−i200
χ452-2-22222-222-2-2-2-22i−2i2i−2i200-2-2200-22-220000002i−2i2i−2i2i−2i0000000-220000000002i−2i00002i−2i000000000000000000002i−2i0002-20000
χ462-2-22222-222-2-2-2-22i−2i2i−2i200-2-2200-22-220000002i−2i2i−2i2i−2i0000000-22000000000−2i2i00002i−2i00000000000000000000−2i2i000-220000
χ472-2-22222-222-2-2-2-2−2i2i−2i2i200-2-2200-22-22000000−2i2i−2i2i−2i2i0000000-220000000002i−2i0000−2i2i000000000000000000002i−2i000-220000
χ482-2-22222-222-2-2-2-2−2i2i−2i2i200-2-2200-22-22000000−2i2i−2i2i−2i2i0000000-22000000000−2i2i0000−2i2i00000000000000000000−2i2i0002-20000
χ492-2-2222-2222-2-2-2-22i−2i2i−2i22-2-2-22002-22-2000000−2i2i2i−2i2i−2i02-22-2002-20000002i−2i0000000−2i2i0000000002-20000002i−2i000000000000
χ502-2-2222-2222-2-2-2-22i−2i2i−2i2-22-2-22002-22-2000000−2i2i2i−2i2i−2i0-22-22002-2000000−2i2i0000000−2i2i000000000-22000000−2i2i000000000000
χ512-2-2222-2222-2-2-2-2−2i2i−2i2i22-2-2-22002-22-20000002i−2i−2i2i−2i2i02-22-2002-2000000−2i2i00000002i−2i0000000002-2000000−2i2i000000000000
χ522-2-2222-2222-2-2-2-2−2i2i−2i2i2-22-2-22002-22-20000002i−2i−2i2i−2i2i0-22-22002-20000002i−2i00000002i−2i000000000-220000002i−2i000000000000
χ532-2-222-1-222-11-21-22i−2i2i−2i-12-211-10021-1-23−33−300−2i2i−ii−ii02-2-113−3-11003−33−32i−2i0000000i−i00−i3i3−i3i303−3-110000−i3i3−ii000000000000
χ542-2-222-1-222-11-21-22i−2i2i−2i-12-211-10021-1-2−33−3300−2i2i−ii−ii02-2-11−33-1100−33−332i−2i0000000i−i00i3−i3i3−i30−33-110000i3−i3−ii000000000000
χ552-2-222-1-222-11-21-22i−2i2i−2i-1-2211-10021-1-23−33−300−2i2i−ii−ii0-221-1−33-11003−33−3−2i2i0000000i−i00−i3i3−i3i30−331-10000i3−i3i−i000000000000
χ562-2-222-1-222-11-21-22i−2i2i−2i-1-2211-10021-1-2−33−3300−2i2i−ii−ii0-221-13−3-1100−33−33−2i2i0000000i−i00i3−i3i3−i303−31-10000−i3i3i−i000000000000
χ572-2-222-1-222-11-21-2−2i2i−2i2i-12-211-10021-1-23−33−3002i−2ii−ii−i02-2-113−3-11003−33−3−2i2i0000000−ii00i3−i3i3−i303−3-110000i3−i3i−i000000000000
χ582-2-222-1-222-11-21-2−2i2i−2i2i-12-211-10021-1-2−33−33002i−2ii−ii−i02-2-11−33-1100−33−33−2i2i0000000−ii00−i3i3−i3i30−33-110000−i3i3i−i000000000000
χ592-2-222-1-222-11-21-2−2i2i−2i2i-1-2211-10021-1-23−33−3002i−2ii−ii−i0-221-1−33-11003−33−32i−2i0000000−ii00i3−i3i3−i30−331-10000−i3i3−ii000000000000
χ602-2-222-1-222-11-21-2−2i2i−2i2i-1-2211-10021-1-2−33−33002i−2ii−ii−i0-221-13−3-1100−33−332i−2i0000000−ii00−i3i3−i3i303−31-10000i3−i3−ii000000000000
χ6144444-2-4-44-2-24-244444-200-2-2-200-422-4000000-4-4-2-2-2-2000000022000000000000000220000000000000000000000000000000
χ6244444-2-4-44-2-24-24-4-4-4-4-200-2-2-200-422-4000000442222000000022000000000000000-2-20000000000000000000000000000000
χ634444-24-4-4-244-24-20000-200-2-2-2002-4-4200004400000000000002200000000-400000000-2-200000000000000000200000000000
χ644444-24-4-4-244-24-20000-200-2-2-2002-4-420000-4-4000000000000022000000004000000002200000000000000000-200000000000
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
χ664444-2-244-2-2-2-2-2-20000144111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-1000000000000000002-1-11100000000000000000000
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
χ684444-2-244-2-2-2-2-2-200001-4-4111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-100000000000000000-211-1-100000000000000000000
χ6944-4-44-200-42-2-42444-4-4-2002-22−2i22i20000i2i2−i2−i20000-2-222000000000−2i22i2i2i2−i2−i20000000−2i22i20000i2i2−i2−i20000000000000000000000000
χ7044-4-44-200-42-2-42444-4-4-2002-222i2−2i20000−i2−i2i2i20000-2-2220000000002i2−2i2−i2−i2i2i200000002i2−2i20000−i2−i2i2i20000000000000000000000000
χ7144-4-44-200-42-2-424-4-444-2002-22−2i22i20000i2i2−i2−i2000022-2-2000000000−2i22i2i2i2−i2−i200000002i2−2i20000−i2−i2i2i20000000000000000000000000
χ7244-4-44-200-42-2-424-4-444-2002-222i2−2i20000−i2−i2i2i2000022-2-20000000002i2−2i2−i2−i2i2i20000000−2i22i20000i2i2−i2−i20000000000000000000000000
χ7344-4-4-24002-442-4-20000-2002-22−2i22i20000−2i2−2i22i22i24-4000000000000000i2−i2i2i2−i2−i200000−2i22i20000-2200000000000000000000i2−i20000000
χ7444-4-4-24002-442-4-20000-2002-22−2i22i20000−2i2−2i22i22i2-44000000000000000i2−i2i2i2−i2−i2000002i2−2i200002-200000000000000000000−i2i20000000
χ7544-4-4-24002-442-4-20000-2002-222i2−2i200002i22i2−2i2−2i24-4000000000000000−i2i2−i2−i2i2i2000002i2−2i20000-2200000000000000000000−i2i20000000
χ7644-4-4-24002-442-4-20000-2002-222i2−2i200002i22i2−2i2−2i2-44000000000000000−i2i2−i2−i2i2i200000−2i22i200002-200000000000000000000i2−i20000000
χ774-44-44400-4-4-444-44i−4i−4i4i4004-4-4000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
χ784-44-44400-4-4-444-4−4i4i4i−4i4004-4-400000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000
χ794-44-44-200-4224-2-44i−4i−4i4i-200-222000000i6−i6−i6i60000−2i2i2i−2i00000000000i6−i6−i6i600000000000006−6−660000000000000000000000000
χ804-44-44-200-4224-2-44i−4i−4i4i-200-222000000−i6i6i6−i60000−2i2i2i−2i00000000000−i6i6i6−i60000000000000−666−60000000000000000000000000
χ814-44-44-200-4224-2-4−4i4i4i−4i-200-222000000i6−i6−i6i600002i−2i−2i2i00000000000i6−i6−i6i60000000000000−666−60000000000000000000000000
χ824-44-44-200-4224-2-4−4i4i4i−4i-200-222000000−i6i6i6−i600002i−2i−2i2i00000000000−i6i6i6−i600000000000006−6−660000000000000000000000000
χ834-4-444-24-44-22-42-44i−4i4i−4i-20022-200-4-2240000004i−4i−2i2i−2i2i00000002-2000000000000000−2i2i0000000000000000000000000000000
χ844-4-444-24-44-22-42-4−4i4i−4i4i-20022-200-4-224000000−4i4i2i−2i2i−2i00000002-20000000000000002i−2i0000000000000000000000000000000
χ854-4-44-244-4-24-42-420000-20022-20024-4-200000000000000000002-20000000004i−4i00000000000000000000000000−2i2i000000000
χ864-4-44-244-4-24-42-420000-20022-20024-4-200000000000000000002-2000000000−4i4i000000000000000000000000002i−2i000000000
χ874-4-44-24-44-24-42-420000-24-422-200-2-4420000000000000-224-400-2200000000000000000000000000-2200000000000000000000
χ884-4-44-24-44-24-42-420000-2-4422-200-2-44200000000000002-2-4400-22000000000000000000000000002-200000000000000000000
χ894-4-44-2-2-44-2-22222000014-4-1-1100-22-2223−2323−23000000000-22-2223−231-100−33−33000000000000000000−331-100000000000000000000
χ904-4-44-2-2-44-2-22222000014-4-1-1100-22-22−2323−2323000000000-22-22−23231-1003−33−30000000000000000003−31-100000000000000000000
χ914-4-44-2-2-44-2-2222200001-44-1-1100-22-2223−2323−230000000002-22-2−23231-100−33−330000000000000000003−3-1100000000000000000000
χ924-4-44-2-2-44-2-2222200001-44-1-1100-22-22−2323−23230000000002-22-223−231-1003−33−3000000000000000000−33-1100000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-400002002220044440000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9488-8-8-4-40044-444-40000200-22-2−4i24i200002i22i2−2i2−2i2000000000000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ9588-8-8-4-40044-444-40000200-22-24i2−4i20000−2i2−2i22i22i200000000000000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ968-88-8-48004-8-8-4840000-400-444000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-400444-4-4400002002-2-20000002i6−2i6−2i62i60000000000000000000−i6i6i6−i6000000000000000000000000000000000000000000
χ988-88-8-4-400444-4-4400002002-2-2000000−2i62i62i6−2i60000000000000000000i6−i6−i6i6000000000000000000000000000000000000000000
χ998-8-88-4-48-8-4-444440000200-2-22004-44-40000000000000000000-22000000000000000000000000000000000000000000000000

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