Finite Group Databasebeta

← Group #11870456

Character table — Group #11870456

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222222222333344444444444444466666666888888888888812121212121212121212121212121216161616161624242424242424242424242424243636363636363636
order12223344446666664444346661212121212121212121222441212121244121212121212121212121222444668888121212121212121212122266666612122424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-11-1-111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-11-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-11-1-1-1-1111111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-111-1-11111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1
χ9111111-1-11111111111111-1111111-1-1-1-1-1-11-1-11111111-1-111-1-111-1-1-1-111-1-1-1-1-111-1-111-1-11-111-1-11-11111-1-1-1-111-1-1-1-11111-1-1
χ10111111-1-11111111111111-1111111-1-1-1-1-1-11-1-11111111-1-111-1-111-1-1-1-1-1-1-111-1-1-1-11111-1-11-111-1-11-1-1-111-1-111-1-11111-1-1-1-111
χ11111111-1-11111111111111-1111111-1-1-1-1-1-11-1-1111111-11-1-1-11111-1-1-1-111-1-1-1-1-1-1-11111-1-1-11-1-111-1111-1-111-1-1-1-111-1-111-1-111
χ12111111-1-11111111111111-1111111-1-1-1-1-1-11-1-1111111-11-1-1-11111-1-1-1-1-1-1-111-1-111-1-111-1-1-11-1-111-11-1-1-1-1111111-1-111-1-111-1-1
χ13111111-1-111111111-1-1-1-11-1111111-1-1-1-1-1-1111-1-1-1-1-1-11-1-111-1-111-1-1-1-1111-1-11111-1-1-1-1111-111-1-1-1111-1-111-1-111-1-111-1-1-1-111
χ14111111-1-111111111-1-1-1-11-1111111-1-1-1-1-1-1111-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-111111-1-111-1-1111-111-1-1-11-1-1-1-11111-1-111-1-11111-1-1
χ15111111-1-111111111-1-1-1-11-1111111-1-1-1-1-1-1111-1-1-1-1-1-1-11-1-1-11111-1-1-1-1111-1-111-1-111-1-111-11-1-1111-11111-1-1-1-1-1-11111-1-111-1-1
χ16111111-1-111111111-1-1-1-11-1111111-1-1-1-1-1-1111-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-11111111-1-1-1-111-11-1-1111-1-1-111-1-11111-1-1-1-111-1-111
χ1722222222-2-222222222222-2222-2-2-2-2-22222-222-2-2222200-20000-2-2-2-22200-200220000-2-2-2-20000000000000000000000000000
χ1822222222-2-2222222-2-2-2-22-2222-2-2-2-2-22222-2-2-222-2-2-2-200-20000-2-2-2-22200200-2-2000022220000000000000000000000000000
χ19222222-2-2-2-2222222222222222-2-2-222-2-2-2-2-2-2-2-2-222220020000-2-222-2-200200-2-20000-2-2220000000000000000000000000000
χ20222222-2-2-2-2222222-2-2-2-222222-2-2-222-2-2-2-2-22222-2-2-2-20020000-2-222-2-200-20022000022-2-20000000000000000000000000000
χ2122222-1222222-1-1-122222-12-1-1-12-1-1-1-1-1-12222222-1-1-1-1222-1-1-1-1-1-1-1-1-1-100200-1-10000-1-1-1-122-1-1-1-12200-1-1-1-100000000000000
χ2222222-1222222-1-1-122222-12-1-1-12-1-1-1-1-1-12222222-1-1-1-1-2-221111-1-1-1-1-1-100200-1-10000-1-1-1-1-2-21111-2-200111100000000000000
χ2322222-1222222-1-1-12-2-2-2-2-12-1-1-12-1-1-1-1-1-1222-2-2-2-21111222-1-1-1-1-1-1-1-1-1-100-200110000111122-1-1-1-1-2-200111100000000000000
χ2422222-1222222-1-1-12-2-2-2-2-12-1-1-12-1-1-1-1-1-1222-2-2-2-21111-2-221111-1-1-1-1-1-100-2001100001111-2-211112200-1-1-1-100000000000000
χ2522222-122-2-222-1-1-122222-1-2-1-1-1-21111-1-122-222-2-2-1-1-1-100-2−i3i3−i3i31111-1-100-200-1-10000111100−i3i3−i3i30000−i3i3−i3i300000000000000
χ2622222-122-2-222-1-1-122222-1-2-1-1-1-21111-1-122-222-2-2-1-1-1-100-2i3−i3i3−i31111-1-100-200-1-10000111100i3−i3i3−i30000i3−i3i3−i300000000000000
χ2722222-122-2-222-1-1-12-2-2-2-2-1-2-1-1-1-21111-1-122-2-2-222111100-2−i3i3−i3i31111-1-100200110000-1-1-1-100−i3i3−i3i30000i3−i3i3−i300000000000000
χ2822222-122-2-222-1-1-12-2-2-2-2-1-2-1-1-1-21111-1-122-2-2-222111100-2i3−i3i3−i31111-1-100200110000-1-1-1-100i3−i3i3−i30000−i3i3−i3i300000000000000
χ2922222-1-2-22222-1-1-122222-1-2-1-1-12-1-11111-2-22-2-222-1-1-1-12-2-2-1-111-1-1111100-200110000-1-1112-2-1-1112-200-1-11100000000000000
χ3022222-1-2-22222-1-1-122222-1-2-1-1-12-1-11111-2-22-2-222-1-1-1-1-22-211-1-1-1-1111100-200110000-1-111-2211-1-1-220011-1-100000000000000
χ3122222-1-2-22222-1-1-12-2-2-2-2-1-2-1-1-12-1-11111-2-2222-2-211112-2-2-1-111-1-1111100200-1-1000011-1-12-2-1-111-220011-1-100000000000000
χ3222222-1-2-22222-1-1-12-2-2-2-2-1-2-1-1-12-1-11111-2-2222-2-21111-22-211-1-1-1-1111100200-1-1000011-1-1-2211-1-12-200-1-11100000000000000
χ3322222-1-2-2-2-222-1-1-122222-12-1-1-1-211-1-111-2-2-2-2-2-2-2-1-1-1-1002−i3i3i3−i311-1-1110020011000011-1-100−i3i3i3−i30000−i3i3i3−i300000000000000
χ3422222-1-2-2-2-222-1-1-122222-12-1-1-1-211-1-111-2-2-2-2-2-2-2-1-1-1-1002i3−i3−i3i311-1-1110020011000011-1-100i3−i3−i3i30000i3−i3−i3i300000000000000
χ3522222-1-2-2-2-222-1-1-12-2-2-2-2-12-1-1-1-211-1-111-2-2-222221111002−i3i3i3−i311-1-11100-200-1-10000-1-11100−i3i3i3−i30000i3−i3−i3i300000000000000
χ3622222-1-2-2-2-222-1-1-12-2-2-2-2-12-1-1-1-211-1-111-2-2-222221111002i3−i3−i3i311-1-11100-200-1-10000-1-11100i3−i3−i3i30000−i3i3i3−i300000000000000
χ372222-122222-1-1222-10000-12-1-1-1-1222222-1-1-10000000022-12222-1-1-1-1-1-1220220022220000-1-1-1-1-1-100-1-10000-1-1-1-1-1-100000000
χ382222-122222-1-1222-10000-12-1-1-1-1222222-1-1-10000000022-12222-1-1-1-1-1-1-2-20-2-200-2-2-2-20000-1-1-1-1-1-10011000011111100000000
χ392222-122222-1-1222-10000-12-1-1-1-1222222-1-1-100000000-2-2-1-2-2-2-2-1-1-1-1-1-12202200-2-2-2-2000011111100-1-10000-1-1111100000000
χ402222-122222-1-1222-10000-12-1-1-1-1222222-1-1-100000000-2-2-1-2-2-2-2-1-1-1-1-1-1-2-20-2-200222200001111110011000011-1-1-1-100000000
χ412222-12-2-222-1-1222-10000-1-2-1-1-1-122-2-2-2-211-1000000002-2122-2-2-1-11111220-2-20022-2-20000-11-1-11100-1-1000011-1-11100000000
χ422222-12-2-222-1-1222-10000-1-2-1-1-1-122-2-2-2-211-1000000002-2122-2-2-1-11111-2-202200-2-2220000-11-1-11100110000-1-111-1-100000000
χ432222-12-2-222-1-1222-10000-1-2-1-1-1-122-2-2-2-211-100000000-221-2-222-1-11111220-2-200-2-22200001-111-1-100-1-100001111-1-100000000
χ442222-12-2-222-1-1222-10000-1-2-1-1-1-122-2-2-2-211-100000000-221-2-222-1-11111-2-20220022-2-200001-111-1-100110000-1-1-1-11100000000
χ4522-2-222002-22-22-2-2-22i2i−2i−2i202-2-2-22-20000002002i−2i2i2i−2i−2i00000002-200000002i−2i0000002i−2i00000000000000002i−2i00002-2000000
χ4622-2-222002-22-22-2-2-22i2i−2i−2i202-2-2-22-20000002002i−2i2i2i−2i−2i00000002-20000000−2i2i0000002i−2i0000000000000000−2i2i0000-22000000
χ4722-2-222002-22-22-2-2-2−2i−2i2i2i202-2-2-22-2000000200−2i2i−2i−2i2i2i00000002-200000002i−2i000000−2i2i00000000000000002i−2i0000-22000000
χ4822-2-222002-22-22-2-2-2−2i−2i2i2i202-2-2-22-2000000200−2i2i−2i−2i2i2i00000002-20000000−2i2i000000−2i2i0000000000000000−2i2i00002-2000000
χ4922-2-22200-222-22-2-2-22i2i−2i−2i202-2-22-22000000-200−2i2i2i2i−2i−2i0000000-2200002-2000000000−2i2i00000000002-20000000000002i−2i0000
χ5022-2-22200-222-22-2-2-22i2i−2i−2i202-2-22-22000000-200−2i2i2i2i−2i−2i0000000-220000-22000000000−2i2i0000000000-22000000000000−2i2i0000
χ5122-2-22200-222-22-2-2-2−2i−2i2i2i202-2-22-22000000-2002i−2i−2i−2i2i2i0000000-2200002-20000000002i−2i00000000002-2000000000000−2i2i0000
χ5222-2-22200-222-22-2-2-2−2i−2i2i2i202-2-22-22000000-2002i−2i−2i−2i2i2i0000000-220000-220000000002i−2i0000000000-220000000000002i−2i0000
χ532-2-22222-200-2-2-2-2222-22-220-2-22000002-22-202-2002-22-2000000000002-2000002-22−22−2000000000000000000002−22−200002−22−2
χ542-2-22222-200-2-2-2-2222-22-220-2-22000002-22-202-2002-22-2000000000002-2000002-2−22−2200000000000000000000−22−220000−22−22
χ552-2-22222-200-2-2-2-222-22-2220-2-22000002-22-20-2200-22-22000000000002-200000-222−22−2000000000000000000002−22−20000−22−22
χ562-2-22222-200-2-2-2-222-22-2220-2-22000002-22-20-2200-22-22000000000002-200000-22−22−2200000000000000000000−22−2200002−22−2
χ572-2-2222-2200-2-2-2-2222-22-220-2-2200000-22-220-22002-22-200000000000-2200000-222−2−22000000000000000000002−2−2200002−2−22
χ582-2-2222-2200-2-2-2-2222-22-220-2-2200000-22-220-22002-22-200000000000-2200000-22−222−200000000000000000000−222−20000−222−2
χ592-2-2222-2200-2-2-2-222-22-2220-2-2200000-22-2202-200-22-2200000000000-22000002-22−2−22000000000000000000002−2−220000−222−2
χ602-2-2222-2200-2-2-2-222-22-2220-2-2200000-22-2202-200-22-2200000000000-22000002-2−222−200000000000000000000−222−200002−2−22
χ614444-2444-4-4-2-2444-20000-2-4-2-2-22-4-4-4-444-2-220000000000200002222-2-20000000000000000000000000000000000000000000
χ624444-24-4-4-4-4-2-2444-20000-24-2-2-22-4-444-4-42220000000000-2000022-2-2220000000000000000000000000000000000000000000
χ634444-2-24444-2-2-2-2-2-2000014111-2-2-2-2-2-2-2-2-2-20000000044-2-2-2-2-2111111000000000000000-2-211110000000000000000000000
χ644444-2-24444-2-2-2-2-2-2000014111-2-2-2-2-2-2-2-2-2-200000000-4-4-2222211111100000000000000022-1-1-1-10000000000000000000000
χ654444-2-244-4-4-2-2-2-2-2-200001-411122222-2-2-2-2200000000002−2i32i3−2i32i3-1-1-1-11100000000000000000i3−i3i3−i30000000000000000000000
χ664444-2-244-4-4-2-2-2-2-2-200001-411122222-2-2-2-22000000000022i3−2i32i3−2i3-1-1-1-11100000000000000000−i3i3−i3i30000000000000000000000
χ674444-2-2-4-444-2-2-2-2-2-200001-4111-2-2-2222222-2000000004-42-2-22211-1-1-1-1000000000000000-2211-1-10000000000000000000000
χ684444-2-2-4-444-2-2-2-2-2-200001-4111-2-2-2222222-200000000-44222-2-211-1-1-1-10000000000000002-2-1-1110000000000000000000000
χ694444-2-2-4-4-4-4-2-2-2-2-2-2000014111222-2-2222220000000000-2−2i32i32i3−2i3-1-111-1-100000000000000000i3−i3−i3i30000000000000000000000
χ704444-2-2-4-4-4-4-2-2-2-2-2-2000014111222-2-2222220000000000-22i3−2i3−2i32i3-1-111-1-100000000000000000−i3i3i3−i30000000000000000000000
χ7144-4-44-2004-44-4-222-44i4i−4i−4i-20-222-4-220000004004i−4i−2i−2i2i2i0000000-22000000000000000−2i2i000000000000000000000000000000
χ7244-4-44-2004-44-4-222-4−4i−4i4i4i-20-222-4-22000000400−4i4i2i2i−2i−2i0000000-220000000000000002i−2i000000000000000000000000000000
χ7344-4-44-200-444-4-222-44i4i−4i−4i-20-22242-2000000-400−4i4i−2i−2i2i2i00000002-20000000000000002i−2i000000000000000000000000000000
χ7444-4-44-200-444-4-222-4−4i−4i4i4i-20-22242-2000000-4004i−4i2i2i−2i−2i00000002-2000000000000000−2i2i000000000000000000000000000000
χ7544-4-4-24004-4-224-4-420000-20-22224-4000000-2000000000000000-2200000004i−4i000000000000000000000000−2i2i000000000000
χ7644-4-4-24004-4-224-4-420000-20-22224-4000000-2000000000000000-220000000−4i4i0000000000000000000000002i−2i000000000000
χ7744-4-4-2400-44-224-4-420000-20-222-2-4400000020000000000000002-200004-4000000000000000000000-22000000000000000000
χ7844-4-4-2400-44-224-4-420000-20-222-2-4400000020000000000000002-20000-440000000000000000000002-2000000000000000000
χ794-44-4440000-44-44-4-44i−4i−4i4i40-44-4000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ804-44-4440000-44-44-4-4−4i4i4i−4i40-44-400000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ814-44-44-20000-442-22-44i−4i−4i4i-202-22000−2i32i3000000000−2i2i2i−2i000000000−2i32i300000000000000023−230000000000000000000000000000
χ824-44-44-20000-442-22-44i−4i−4i4i-202-220002i3−2i3000000000−2i2i2i−2i0000000002i3−2i3000000000000000−23230000000000000000000000000000
χ834-44-44-20000-442-22-4−4i4i4i−4i-202-22000−2i32i30000000002i−2i−2i2i000000000−2i32i3000000000000000−23230000000000000000000000000000
χ844-44-44-20000-442-22-4−4i4i4i−4i-202-220002i3−2i30000000002i−2i−2i2i0000000002i3−2i300000000000000023−230000000000000000000000000000
χ854-4-444-24-400-4-422-244-44-4-2022-200000-224-404-400-22-2200000000000-2200000-22000000000000000000000000000000000000
χ864-4-444-24-400-4-422-24-44-44-2022-200000-224-40-44002-22-200000000000-22000002-2000000000000000000000000000000000000
χ874-4-444-2-4400-4-422-244-44-4-2022-2000002-2-440-4400-22-22000000000002-2000002-2000000000000000000000000000000000000
χ884-4-444-2-4400-4-422-24-44-44-2022-2000002-2-4404-4002-22-2000000000002-200000-22000000000000000000000000000000000000
χ894-4-44-244-40022-4-44-20000-2022-2000004-4-2200000000000000000000-22000000022−2222−2200000000000000000000−22−2200000000
χ904-4-44-244-40022-4-44-20000-2022-2000004-4-2200000000000000000000-220000000−2222−2222000000000000000000002−22−200000000
χ914-4-44-24-440022-4-44-20000-2022-200000-442-2000000000000000000002-2000000022−22−222200000000000000000000−222−200000000
χ924-4-44-24-440022-4-44-20000-2022-200000-442-2000000000000000000002-20000000−222222−22000000000000000000002−2−2200000000
χ9388-8-8-4-4008-8-44-44440000202-2-24-44000000-40000000000000002-200000000000000000000000000000000000000000000000
χ9488-8-8-4-400-88-44-44440000202-2-2-44-40000004000000000000000-2200000000000000000000000000000000000000000000000
χ958-88-8-4800004-4-88-840000-404-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-400004-44-444000020-22-2000−4i34i300000000000000000000002i3−2i3000000000000000000000000000000000000000000000
χ978-88-8-4-400004-44-444000020-22-20004i3−4i30000000000000000000000−2i32i3000000000000000000000000000000000000000000000
χ988-8-88-4-48-8004444-4-4000020-2-2200000-44-44000000000000000000002-20000000000000000000000000000000000000000000
χ998-8-88-4-4-88004444-4-4000020-2-22000004-44-400000000000000000000-220000000000000000000000000000000000000000000

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