Finite Group Databasebeta

← Group #11870451

Character table — Group #11870451

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222222222333344444444444444466666666888888888888812121212121212121212121212121216161616161624242424242424242424242424243636363636363636
order12223344446666664444346661212121212121212121222441212121222666612121212121212224446688881212121266666644661212121212122424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-11-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-11111111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-111-1-11111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
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
χ71111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1
χ9111111-1-11111111111111-1111111-1-1-1-1-1-11-1-11111111-111-1-1-111-1-1-1-111-1-1-1-1-111-1-111-1-11-111-1-11-111-1-111-1-111-1-1-1-11111-1-1
χ10111111-1-11111111111111-1111111-1-1-1-1-1-11-1-11111111-111-1-1-111-1-1-1-1-1-1-111-1-1-1-11111-1-11-111-1-11-1-1-11111-1-1-1-11111-1-1-1-111
χ11111111-1-11111111111111-1111111-1-1-1-1-1-11-1-1111111-11-1-111-111-1-1-1-111-1-1-1-1-1-1-11111-1-1-11-1-111-1111-1-1-1-111-1-111-1-111-1-111
χ12111111-1-11111111111111-1111111-1-1-1-1-1-11-1-1111111-11-1-111-111-1-1-1-1-1-1-111-1-111-1-111-1-1-11-1-111-11-1-111-1-11111-1-111-1-111-1-1
χ13111111-1-111111111-1-1-1-11-1111111-1-1-1-1-1-1111-1-1-1-1-1-11-111-1-1-111-1-1-1-1111-1-11111-1-1-1-1111-111-1-1-1111-1-1-1-11111-1-111-1-1-1-111
χ14111111-1-111111111-1-1-1-11-1111111-1-1-1-1-1-1111-1-1-1-1-1-11-111-1-1-111-1-1-1-1-1-111111-1-111-1-1111-111-1-1-11-1-111-1-111-1-111-1-11111-1-1
χ15111111-1-111111111-1-1-1-11-1111111-1-1-1-1-1-1111-1-1-1-1-1-1-11-1-111-111-1-1-1-1111-1-111-1-111-1-111-11-1-1111-111-1-111-1-1-1-11111-1-111-1-1
χ16111111-1-111111111-1-1-1-11-1111111-1-1-1-1-1-1111-1-1-1-1-1-1-11-1-111-111-1-1-1-1-1-11111111-1-1-1-111-11-1-1111-1-1-11111-1-111-1-1-1-111-1-111
χ1722222222-2-222222222222-2222-2-2-2-2-22222-222-2-22222000000-2-2-222-2-200-200220000-2-2-2-20000000000000000000000000000
χ1822222222-2-2222222-2-2-2-22-2222-2-2-2-2-22222-2-2-222-2-2-2-2000000-2-2-222-2-200200-2-2000022220000000000000000000000000000
χ19222222-2-2-2-2222222222222222-2-2-222-2-2-2-2-2-2-2-2-222220000002-2-2-2-22200200-2-20000-2-2220000000000000000000000000000
χ20222222-2-2-2-2222222-2-2-2-222222-2-2-222-2-2-2-2-22222-2-2-2-20000002-2-2-2-22200-20022000022-2-20000000000000000000000000000
χ2122222-12222-1-122-120000-12-1-1-1-12222-1-122-100000000222222-1-1-1-1-1-1-1220220022220000-1-1-1-1-1-100-1-1-1-10000-1-1-1-100000000
χ2222222-12222-1-122-120000-12-1-1-1-12222-1-122-100000000222222-1-1-1-1-1-1-1-2-20-2-200-2-2-2-20000-1-1-1-1-1-10011110000111100000000
χ2322222-12222-1-122-120000-12-1-1-1-12222-1-122-100000000-2-2-2-2-2-2-1-1-1-1-1-1-12202200-2-2-2-2000011111100-1-1-1-10000111100000000
χ2422222-12222-1-122-120000-12-1-1-1-12222-1-122-100000000-2-2-2-2-2-2-1-1-1-1-1-1-1-2-20-2-200222200001111110011110000-1-1-1-100000000
χ2522222-1-2-222-1-122-120000-1-2-1-1-1-122-2-211-2-2-1000000002-222-2-21-1-11111220-2-20022-2-20000-11-1-11100-1-1110000-1-11100000000
χ2622222-1-2-222-1-122-120000-1-2-1-1-1-122-2-211-2-2-1000000002-222-2-21-1-11111-2-202200-2-2220000-11-1-1110011-1-1000011-1-100000000
χ2722222-1-2-222-1-122-120000-1-2-1-1-1-122-2-211-2-2-100000000-22-2-2221-1-11111220-2-200-2-22200001-111-1-100-1-111000011-1-100000000
χ2822222-1-2-222-1-122-120000-1-2-1-1-1-122-2-211-2-2-100000000-22-2-2221-1-11111-2-20220022-2-200001-111-1-10011-1-10000-1-11100000000
χ292222-12222222-1-12-12222-12-1-1-12-1-1-1-122-1-122222-1-1-1-122-1-1-1-12-1-1-1-1-1-100200-1-10000-1-1-1-122-1-1-1-1220000-1-1-1-1000000000000
χ302222-12222222-1-12-12222-12-1-1-12-1-1-1-122-1-122222-1-1-1-1-2-211112-1-1-1-1-1-100200-1-10000-1-1-1-1-2-21111-2-200001111000000000000
χ312222-12222222-1-12-1-2-2-2-2-12-1-1-12-1-1-1-122-1-12-2-2-2-2111122-1-1-1-12-1-1-1-1-1-100-200110000111122-1-1-1-1-2-200001111000000000000
χ322222-12222222-1-12-1-2-2-2-2-12-1-1-12-1-1-1-122-1-12-2-2-2-21111-2-211112-1-1-1-1-1-100-2001100001111-2-21111220000-1-1-1-1000000000000
χ332222-1222-2-222-1-12-12222-1-2-1-1-1-2111122-1-1-222-2-2-1-1-1-100−i3i3−i3i3-211-1-11100-200-1-10000111100−i3i3−i3i3000000−i3i3−i3i3000000000000
χ342222-1222-2-222-1-12-12222-1-2-1-1-1-2111122-1-1-222-2-2-1-1-1-100i3−i3i3−i3-211-1-11100-200-1-10000111100i3−i3i3−i3000000i3−i3i3−i3000000000000
χ352222-1222-2-222-1-12-1-2-2-2-2-1-2-1-1-1-2111122-1-1-2-2-222111100−i3i3−i3i3-211-1-11100200110000-1-1-1-100−i3i3−i3i3000000i3−i3i3−i3000000000000
χ362222-1222-2-222-1-12-1-2-2-2-2-1-2-1-1-1-2111122-1-1-2-2-222111100i3−i3i3−i3-211-1-11100200110000-1-1-1-100i3−i3i3−i3000000−i3i3−i3i3000000000000
χ372222-12-2-22222-1-12-12222-1-2-1-1-12-1-111-2-2112-2-222-1-1-1-12-2-1-111-2-1-1111100-200110000-1-1112-2-1-1112-20000-1-111000000000000
χ382222-12-2-22222-1-12-12222-1-2-1-1-12-1-111-2-2112-2-222-1-1-1-1-2211-1-1-2-1-1111100-200110000-1-111-2211-1-1-22000011-1-1000000000000
χ392222-12-2-22222-1-12-1-2-2-2-2-1-2-1-1-12-1-111-2-211222-2-211112-2-1-111-2-1-1111100200-1-1000011-1-12-2-1-111-22000011-1-1000000000000
χ402222-12-2-22222-1-12-1-2-2-2-2-1-2-1-1-12-1-111-2-211222-2-21111-2211-1-1-2-1-1111100200-1-1000011-1-1-2211-1-12-20000-1-111000000000000
χ412222-12-2-2-2-222-1-12-12222-12-1-1-1-211-1-1-2-211-2-2-2-2-2-1-1-1-100−i3i3i3−i321111-1-10020011000011-1-100−i3i3i3−i3000000−i3i3i3−i3000000000000
χ422222-12-2-2-2-222-1-12-12222-12-1-1-1-211-1-1-2-211-2-2-2-2-2-1-1-1-100i3−i3−i3i321111-1-10020011000011-1-100i3−i3−i3i3000000i3−i3−i3i3000000000000
χ432222-12-2-2-2-222-1-12-1-2-2-2-2-12-1-1-1-211-1-1-2-211-22222111100−i3i3i3−i321111-1-100-200-1-10000-1-11100−i3i3i3−i3000000i3−i3−i3i3000000000000
χ442222-12-2-2-2-222-1-12-1-2-2-2-2-12-1-1-1-211-1-1-2-211-22222111100i3−i3−i3i321111-1-100-200-1-10000-1-11100i3−i3−i3i3000000−i3i3i3−i3000000000000
χ4522-2-222002-22-22-2-2-22i2i−2i−2i202-2-2-22-20000002002i−2i2i2i−2i−2i00000002-200002-20000000002i−2i00000000002-20000000000002i−2i0000
χ4622-2-222002-22-22-2-2-22i2i−2i−2i202-2-2-22-20000002002i−2i2i2i−2i−2i00000002-20000-220000000002i−2i0000000000-22000000000000−2i2i0000
χ4722-2-222002-22-22-2-2-2−2i−2i2i2i202-2-2-22-2000000200−2i2i−2i−2i2i2i00000002-200002-2000000000−2i2i00000000002-2000000000000−2i2i0000
χ4822-2-222002-22-22-2-2-2−2i−2i2i2i202-2-2-22-2000000200−2i2i−2i−2i2i2i00000002-20000-22000000000−2i2i0000000000-220000000000002i−2i0000
χ4922-2-22200-222-22-2-2-22i2i−2i−2i202-2-22-22000000-200−2i2i2i2i−2i−2i0000000-2200000002i−2i000000−2i2i0000000000002i−2i000000002-2000000
χ5022-2-22200-222-22-2-2-22i2i−2i−2i202-2-22-22000000-200−2i2i2i2i−2i−2i0000000-220000000−2i2i000000−2i2i000000000000−2i2i00000000-22000000
χ5122-2-22200-222-22-2-2-2−2i−2i2i2i202-2-22-22000000-2002i−2i−2i−2i2i2i0000000-2200000002i−2i0000002i−2i0000000000002i−2i00000000-22000000
χ5222-2-22200-222-22-2-2-2−2i−2i2i2i202-2-22-22000000-2002i−2i−2i−2i2i2i0000000-220000000−2i2i0000002i−2i000000000000−2i2i000000002-2000000
χ532-2-22222-200-2-2-2-2222-22-220-22-2000002-22-202-2002-22-20000000002-200000002-22−22−2000000000000000000002−22−200002−22−2
χ542-2-22222-200-2-2-2-2222-22-220-22-2000002-22-202-2002-22-20000000002-200000002-2−22−2200000000000000000000−22−220000−22−22
χ552-2-22222-200-2-2-2-222-22-2220-22-2000002-22-20-2200-22-220000000002-20000000-222−22−2000000000000000000002−22−20000−22−22
χ562-2-22222-200-2-2-2-222-22-2220-22-2000002-22-20-2200-22-220000000002-20000000-22−22−2200000000000000000000−22−2200002−22−2
χ572-2-2222-2200-2-2-2-2222-22-220-22-200000-22-220-22002-22-2000000000-220000000-222−2−22000000000000000000002−2−2200002−2−22
χ582-2-2222-2200-2-2-2-2222-22-220-22-200000-22-220-22002-22-2000000000-220000000-22−222−200000000000000000000−222−20000−222−2
χ592-2-2222-2200-2-2-2-222-22-2220-22-200000-22-2202-200-22-22000000000-2200000002-22−2−22000000000000000000002−2−220000−222−2
χ602-2-2222-2200-2-2-2-222-22-2220-22-200000-22-2202-200-22-22000000000-2200000002-2−222−200000000000000000000−222−200002−2−22
χ6144444-244-4-4-2-244-240000-2-4-2-2-22-4-4-4-4-2-244200000000000000222-2-2220000000000000000000000000000000000000000000
χ6244444-2-4-4-4-4-2-244-240000-24-2-2-22-4-44422-4-4200000000000000-22222-2-20000000000000000000000000000000000000000000
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
χ644444-2-24444-2-2-2-2-2-2000014111-2-2-2-2-2-2-2-2-2-200000000-4-42222-211111100000000000000022-1-1-1-10000000000000000000000
χ654444-2-244-4-4-2-2-2-2-2-200001-411122222-2-2-2-220000000000−2i32i3−2i32i32-1-111-1-100000000000000000i3−i3i3−i30000000000000000000000
χ664444-2-244-4-4-2-2-2-2-2-200001-411122222-2-2-2-2200000000002i3−2i32i3−2i32-1-111-1-100000000000000000−i3i3−i3i30000000000000000000000
χ674444-2-2-4-444-2-2-2-2-2-200001-4111-2-2-2222222-2000000004-4-2-222211-1-1-1-1000000000000000-2211-1-10000000000000000000000
χ684444-2-2-4-444-2-2-2-2-2-200001-4111-2-2-2222222-200000000-4422-2-2211-1-1-1-10000000000000002-2-1-1110000000000000000000000
χ694444-2-2-4-4-4-4-2-2-2-2-2-2000014111222-2-2222220000000000−2i32i32i3−2i3-2-1-1-1-11100000000000000000i3−i3−i3i30000000000000000000000
χ704444-2-2-4-4-4-4-2-2-2-2-2-2000014111222-2-22222200000000002i3−2i3−2i32i3-2-1-1-1-11100000000000000000−i3i3i3−i30000000000000000000000
χ7144-4-44-2004-4-224-42-40000-20-22224-4000000-2000000000000000-2200004-4000000000000000000000-22000000000000000000
χ7244-4-44-2004-4-224-42-40000-20-22224-4000000-2000000000000000-220000-440000000000000000000002-2000000000000000000
χ7344-4-44-200-44-224-42-40000-20-222-2-4400000020000000000000002-200000004i−4i00000000000000000000−2i2i0000000000000000
χ7444-4-44-200-44-224-42-40000-20-222-2-4400000020000000000000002-20000000−4i4i000000000000000000002i−2i0000000000000000
χ7544-4-4-24004-44-4-22-424i4i−4i−4i-20-222-4-220000004004i−4i−2i−2i2i2i0000000-22000000000000000−2i2i000000000000000000000000000000
χ7644-4-4-24004-44-4-22-42−4i−4i4i4i-20-222-4-22000000400−4i4i2i2i−2i−2i0000000-220000000000000002i−2i000000000000000000000000000000
χ7744-4-4-2400-444-4-22-424i4i−4i−4i-20-22242-2000000-400−4i4i−2i−2i2i2i00000002-20000000000000002i−2i000000000000000000000000000000
χ7844-4-4-2400-444-4-22-42−4i−4i4i4i-20-22242-2000000-4004i−4i2i2i−2i−2i00000002-2000000000000000−2i2i000000000000000000000000000000
χ794-44-4440000-44-44-4-44i−4i−4i4i40-4-44000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ804-44-4440000-44-44-4-4−4i4i4i−4i40-4-4400000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ814-44-4-240000-442-2-424i−4i−4i4i-2022-2000−2i32i3000000000−2i2i2i−2i00000000000−2i32i3000000000000023−230000000000000000000000000000
χ824-44-4-240000-442-2-424i−4i−4i4i-2022-20002i3−2i3000000000−2i2i2i−2i000000000002i3−2i30000000000000−23230000000000000000000000000000
χ834-44-4-240000-442-2-42−4i4i4i−4i-2022-2000−2i32i30000000002i−2i−2i2i00000000000−2i32i30000000000000−23230000000000000000000000000000
χ844-44-4-240000-442-2-42−4i4i4i−4i-2022-20002i3−2i30000000002i−2i−2i2i000000000002i3−2i3000000000000023−230000000000000000000000000000
χ854-4-444-24-40022-4-4-240000-202-2200000-224-4000000000000000000-2200000000022−2222−2200000000000000000000−22−2200000000
χ864-4-444-24-40022-4-4-240000-202-2200000-224-4000000000000000000-22000000000−2222−2222000000000000000000002−22−200000000
χ874-4-444-2-440022-4-4-240000-202-22000002-2-440000000000000000002-200000000022−22−222200000000000000000000−222−200000000
χ884-4-444-2-440022-4-4-240000-202-22000002-2-440000000000000000002-2000000000−222222−22000000000000000000002−2−2200000000
χ894-4-44-244-400-4-4224-24-44-4-202-22000004-4-2204-400-22-22000000000-220000000-22000000000000000000000000000000000000
χ904-4-44-244-400-4-4224-2-44-44-202-22000004-4-220-44002-22-2000000000-2200000002-2000000000000000000000000000000000000
χ914-4-44-24-4400-4-4224-24-44-4-202-2200000-442-20-4400-22-220000000002-200000002-2000000000000000000000000000000000000
χ924-4-44-24-4400-4-4224-2-44-44-202-2200000-442-204-4002-22-20000000002-20000000-22000000000000000000000000000000000000
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
χ958-88-88-400004-4-884-80000-4044-400000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-400004-44-444000020-2-22000−4i34i30000000000000000000000002i3−2i30000000000000000000000000000000000000000000
χ978-88-8-4-400004-44-444000020-2-220004i3−4i3000000000000000000000000−2i32i30000000000000000000000000000000000000000000
χ988-8-88-4-48-8004444-4-4000020-22-200000-44-440000000000000000002-2000000000000000000000000000000000000000000000
χ998-8-88-4-4-88004444-4-4000020-22-2000004-44-4000000000000000000-22000000000000000000000000000000000000000000000

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