Finite Group Databasebeta

← Group #11870520

Character table — Group #11870520

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222222222333344444444444444466666666888888888888812121212121212121212121212121216161616161624242424242424242424242424243636363636363636
order122233444466666644443466612121212121212121212224412121212441212121212121212121212224446688881212121212121212121244661212121212122424242422448888
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
χ31111111111111111111111111111111111111111111-1-11-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-11-1-1-1-1111111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-111-1-11111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
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
χ71111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1
χ9111111-1-11111111111111-1111-1-11-1-111-1-11-1-11111111-1-111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1111-111-1-11-111-1-111-1-111-1-1-1-11111-1-1
χ10111111-1-11111111111111-1111-1-11-1-111-1-11-1-11111111-1-111-1-1-1-1-1-111-1-1-111-1-1-1-111-1-1111-111-1-11-1-1-11111-1-1-1-11111-1-1-1-111
χ11111111-1-11111111111111-1111-1-11-1-111-1-11-1-1111111-11-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-111-11-1-111-1111-1-1-1-111-1-111-1-111-1-111
χ12111111-1-11111111111111-1111-1-11-1-111-1-11-1-1111111-11-1-1-111-1-1-1-111-1-1-111-1-111-1-1-1-111-11-1-111-11-1-111-1-11111-1-111-1-111-1-1
χ13111111-1-111111111-1-1-1-11-1111-1-11-1-111-1-1111-1-1-1-1-1-11-1-111-1-1-1-1-1-111111-1-11111-1-111-1-11-111-1-1-1111-1-1-1-11111-1-111-1-1-1-111
χ14111111-1-111111111-1-1-1-11-1111-1-11-1-111-1-1111-1-1-1-1-1-11-1-111-1-1-1-1-1-111-1-111111-1-11111-1-11-111-1-1-11-1-111-1-111-1-111-1-11111-1-1
χ15111111-1-111111111-1-1-1-11-1111-1-11-1-111-1-1111-1-1-1-1-1-1-11-1-1-111-1-1-1-111111-1-111-1-11111-1-1-11-1-1111-111-1-111-1-1-1-11111-1-111-1-1
χ16111111-1-111111111-1-1-1-11-1111-1-11-1-111-1-1111-1-1-1-1-1-1-11-1-1-111-1-1-1-111-1-11111111-1-111-1-1-11-1-1111-1-1-11111-1-111-1-1-1-111-1-111
χ1722222222-2-222222222222-222222-222-2-2-2-2-222-2-2222200-2000022-2-2-2-200-200220000-2-2-2-20000000000000000000000000000
χ1822222222-2-2222222-2-2-2-22-222222-222-2-2-2-2-2-2-222-2-2-2-200-2000022-2-2-2-200200-2-2000022220000000000000000000000000000
χ19222222-2-2-2-2222222222222222-2-2-2-2-2-2-222-2-2-2-2-222220020000-2-222-2-200200-2-2000022-2-20000000000000000000000000000
χ20222222-2-2-2-2222222-2-2-2-222222-2-2-2-2-2-2-222-22222-2-2-2-20020000-2-222-2-200-200220000-2-2220000000000000000000000000000
χ2122222-12222-12-1-1220000-12-1-1-122-1-1-12222-10000000022-12222-1-1-1-1-1-1220220022220000-1-1-1-1-1-100-1-1-1-10000-1-1-1-100000000
χ2222222-12222-12-1-1220000-12-1-1-122-1-1-12222-10000000022-12222-1-1-1-1-1-1-2-20-2-200-2-2-2-20000-1-1-1-1-1-10011110000111100000000
χ2322222-12222-12-1-1220000-12-1-1-122-1-1-12222-100000000-2-2-1-2-2-2-2-1-1-1-1-1-12202200-2-2-2-2000011111100-1-1-1-10000111100000000
χ2422222-12222-12-1-1220000-12-1-1-122-1-1-12222-100000000-2-2-1-2-2-2-2-1-1-1-1-1-1-2-20-2-200222200001111110011110000-1-1-1-100000000
χ2522222-1-2-222-12-1-1220000-1-2-1-1-1-2-2-11122-2-2-1000000002-2122-2-21111-1-1220-2-20022-2-20000-11-1-11100-1-1110000-1-11100000000
χ2622222-1-2-222-12-1-1220000-1-2-1-1-1-2-2-11122-2-2-1000000002-2122-2-21111-1-1-2-202200-2-2220000-11-1-1110011-1-1000011-1-100000000
χ2722222-1-2-222-12-1-1220000-1-2-1-1-1-2-2-11122-2-2-100000000-221-2-2221111-1-1220-2-200-2-22200001-111-1-100-1-111000011-1-100000000
χ2822222-1-2-222-12-1-1220000-1-2-1-1-1-2-2-11122-2-2-100000000-221-2-2221111-1-1-2-20220022-2-200001-111-1-10011-1-10000-1-11100000000
χ292222-1222222-122-1-12222-12-1-1-1-1-1222-1-1-1-122222-1-1-1-1222-1-1-1-1-1-1-1-1-1-100200-1-10000-1-1-1-122-1-1-1-1220000-1-1-1-1000000000000
χ302222-1222222-122-1-12222-12-1-1-1-1-1222-1-1-1-122222-1-1-1-1-2-221111-1-1-1-1-1-100200-1-10000-1-1-1-1-2-21111-2-200001111000000000000
χ312222-1222222-122-1-1-2-2-2-2-12-1-1-1-1-1222-1-1-1-12-2-2-2-21111222-1-1-1-1-1-1-1-1-1-100-200110000111122-1-1-1-1-2-200001111000000000000
χ322222-1222222-122-1-1-2-2-2-2-12-1-1-1-1-1222-1-1-1-12-2-2-2-21111-2-221111-1-1-1-1-1-100-2001100001111-2-21111220000-1-1-1-1000000000000
χ332222-1222-2-22-122-1-12222-1-2-1-1-1-1-1-2221111-222-2-2-1-1-1-100-2−i3i3−i3i3-1-1111100-200-1-10000111100−i3i3−i3i3000000−i3i3−i3i3000000000000
χ342222-1222-2-22-122-1-12222-1-2-1-1-1-1-1-2221111-222-2-2-1-1-1-100-2i3−i3i3−i3-1-1111100-200-1-10000111100i3−i3i3−i3000000i3−i3i3−i3000000000000
χ352222-1222-2-22-122-1-1-2-2-2-2-1-2-1-1-1-1-1-2221111-2-2-222111100-2−i3i3−i3i3-1-1111100200110000-1-1-1-100−i3i3−i3i3000000i3−i3i3−i3000000000000
χ362222-1222-2-22-122-1-1-2-2-2-2-1-2-1-1-1-1-1-2221111-2-2-222111100-2i3−i3i3−i3-1-1111100200110000-1-1-1-100i3−i3i3−i3000000−i3i3−i3i3000000000000
χ372222-12-2-2222-122-1-12222-1-2-1-1-1112-2-2-1-1112-2-222-1-1-1-12-2-2-1-1111111-1-100-20011000011-1-12-2-1-1112-20000-1-111000000000000
χ382222-12-2-2222-122-1-12222-1-2-1-1-1112-2-2-1-1112-2-222-1-1-1-1-22-211-1-11111-1-100-20011000011-1-1-2211-1-1-22000011-1-1000000000000
χ392222-12-2-2222-122-1-1-2-2-2-2-1-2-1-1-1112-2-2-1-111222-2-211112-2-2-1-1111111-1-100200-1-10000-1-1112-2-1-111-22000011-1-1000000000000
χ402222-12-2-2222-122-1-1-2-2-2-2-1-2-1-1-1112-2-2-1-111222-2-21111-22-211-1-11111-1-100200-1-10000-1-111-2211-1-12-20000-1-111000000000000
χ412222-12-2-2-2-22-122-1-12222-12-1-1-111-2-2-211-1-1-2-2-2-2-2-1-1-1-1002−i3i3i3−i311-1-11100200110000-1-11100−i3i3i3−i3000000−i3i3i3−i3000000000000
χ422222-12-2-2-2-22-122-1-12222-12-1-1-111-2-2-211-1-1-2-2-2-2-2-1-1-1-1002i3−i3−i3i311-1-11100200110000-1-11100i3−i3−i3i3000000i3−i3−i3i3000000000000
χ432222-12-2-2-2-22-122-1-1-2-2-2-2-12-1-1-111-2-2-211-1-1-222221111002−i3i3i3−i311-1-11100-200-1-1000011-1-100−i3i3i3−i3000000i3−i3−i3i3000000000000
χ442222-12-2-2-2-22-122-1-1-2-2-2-2-12-1-1-111-2-2-211-1-1-222221111002i3−i3−i3i311-1-11100-200-1-1000011-1-100i3−i3−i3i3000000−i3i3i3−i3000000000000
χ4522-2-222002-2-2-22-22-22i2i−2i−2i20-2-2200-2002-2002002i−2i2i2i−2i−2i000000000002-22-2000000000002i−2i000000002-20000000000002i−2i0000
χ4622-2-222002-2-2-22-22-22i2i−2i−2i20-2-2200-2002-2002002i−2i2i2i−2i−2i000000000002-2-22000000000002i−2i00000000-22000000000000−2i2i0000
χ4722-2-222002-2-2-22-22-2−2i−2i2i2i20-2-2200-2002-200200−2i2i−2i−2i2i2i000000000002-22-200000000000−2i2i000000002-2000000000000−2i2i0000
χ4822-2-222002-2-2-22-22-2−2i−2i2i2i20-2-2200-2002-200200−2i2i−2i−2i2i2i000000000002-2-2200000000000−2i2i00000000-220000000000002i−2i0000
χ4922-2-22200-22-2-22-22-22i2i−2i−2i20-2-2200200-2200-200−2i2i2i2i−2i−2i00000000000-220002i−2i00000000−2i2i00000000002i−2i000000002-2000000
χ5022-2-22200-22-2-22-22-22i2i−2i−2i20-2-2200200-2200-200−2i2i2i2i−2i−2i00000000000-22000−2i2i00000000−2i2i0000000000−2i2i00000000-22000000
χ5122-2-22200-22-2-22-22-2−2i−2i2i2i20-2-2200200-2200-2002i−2i−2i−2i2i2i00000000000-220002i−2i000000002i−2i00000000002i−2i00000000-22000000
χ5222-2-22200-22-2-22-22-2−2i−2i2i2i20-2-2200200-2200-2002i−2i−2i−2i2i2i00000000000-22000−2i2i000000002i−2i0000000000−2i2i000000002-2000000
χ532-2-22222-200-22-22-2-22-22-2202-2-22-202-2000002-2002-22-200000002-20000000002-2−i2i2−i2i200000000000000000000−i2i2−i2i20000−i2i2−i2i2
χ542-2-22222-200-22-22-2-22-22-2202-2-22-202-2000002-2002-22-200000002-20000000002-2i2−i2i2−i200000000000000000000i2−i2i2−i20000i2−i2i2−i2
χ552-2-22222-200-22-22-2-2-22-22202-2-22-202-200000-2200-22-2200000002-2000000000-22−i2i2−i2i200000000000000000000−i2i2−i2i20000i2−i2i2−i2
χ562-2-22222-200-22-22-2-2-22-22202-2-22-202-200000-2200-22-2200000002-2000000000-22i2−i2i2−i200000000000000000000i2−i2i2−i20000−i2i2−i2i2
χ572-2-2222-2200-22-22-2-22-22-2202-2-2-220-2200000-22002-22-20000000-22000000000-22−i2i2i2−i200000000000000000000−i2i2i2−i20000−i2i2i2−i2
χ582-2-2222-2200-22-22-2-22-22-2202-2-2-220-2200000-22002-22-20000000-22000000000-22i2−i2−i2i200000000000000000000i2−i2−i2i20000i2−i2−i2i2
χ592-2-2222-2200-22-22-2-2-22-22202-2-2-220-22000002-200-22-220000000-220000000002-2−i2i2i2−i200000000000000000000−i2i2i2−i20000i2−i2−i2i2
χ602-2-2222-2200-22-22-2-2-22-22202-2-2-220-22000002-200-22-220000000-220000000002-2i2−i2−i2i200000000000000000000i2−i2−i2i20000−i2i2i2−i2
χ6144444-244-4-4-24-2-2440000-2-4-2-2-2442-2-2-4-4-4-42000000000020000-2-222220000000000000000000000000000000000000000000
χ6244444-2-4-4-4-4-24-2-2440000-24-2-2-2-4-4222-4-44420000000000-2000022-2-2220000000000000000000000000000000000000000000
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
χ654444-2-244-4-4-2-2-2-2-2-200001-4111-2-22-2-22222200000000002−2i32i3−2i32i311-1-1-1-100000000000000000i3−i3i3−i30000000000000000000000
χ664444-2-244-4-4-2-2-2-2-2-200001-4111-2-22-2-222222000000000022i3−2i32i3−2i311-1-1-1-100000000000000000−i3i3−i3i30000000000000000000000
χ674444-2-2-4-444-2-2-2-2-2-200001-411122-222-2-222-2000000004-42-2-222-1-1-1-111000000000000000-2211-1-10000000000000000000000
χ684444-2-2-4-444-2-2-2-2-2-200001-411122-222-2-222-200000000-44222-2-2-1-1-1-1110000000000000002-2-1-1110000000000000000000000
χ694444-2-2-4-4-4-4-2-2-2-2-2-20000141112222222-2-220000000000-2−2i32i32i3−2i3-1-111-1-100000000000000000i3−i3−i3i30000000000000000000000
χ704444-2-2-4-4-4-4-2-2-2-2-2-20000141112222222-2-220000000000-22i3−2i3−2i32i3-1-111-1-100000000000000000−i3i3i3−i30000000000000000000000
χ7144-4-44-2004-42-4-224-40000-2022-2002004-400-20000000000000000000-224-4000000000000000000000-22000000000000000000
χ7244-4-44-2004-42-4-224-40000-2022-2002004-400-20000000000000000000-22-440000000000000000000002-2000000000000000000
χ7344-4-44-200-442-4-224-40000-2022-200-200-4400200000000000000000002-20004i−4i00000000000000000000−2i2i0000000000000000
χ7444-4-44-200-442-4-224-40000-2022-200-200-4400200000000000000000002-2000−4i4i000000000000000000002i−2i0000000000000000
χ7544-4-4-24004-4-424-4-224i4i−4i−4i-2022-200-400-22004004i−4i−2i−2i2i2i00000000000-220000000000000−2i2i0000000000000000000000000000
χ7644-4-4-24004-4-424-4-22−4i−4i4i4i-2022-200-400-2200400−4i4i2i2i−2i−2i00000000000-2200000000000002i−2i0000000000000000000000000000
χ7744-4-4-2400-44-424-4-224i4i−4i−4i-2022-2004002-200-400−4i4i−2i−2i2i2i000000000002-200000000000002i−2i0000000000000000000000000000
χ7844-4-4-2400-44-424-4-22−4i−4i4i4i-2022-2004002-200-4004i−4i2i2i−2i−2i000000000002-20000000000000−2i2i0000000000000000000000000000
χ794-44-44400004-4-4-4-444i−4i−4i4i40-44-4000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ804-44-44400004-4-4-4-44−4i4i4i−4i40-44-400000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ814-44-4-24000042-4-42-24i−4i−4i4i-202-220000000−2i32i300000−2i2i2i−2i000000000−2i32i3000000000000023−23000000000000000000000000000000
χ824-44-4-24000042-4-42-24i−4i−4i4i-202-2200000002i3−2i300000−2i2i2i−2i0000000002i3−2i30000000000000−2323000000000000000000000000000000
χ834-44-4-24000042-4-42-2−4i4i4i−4i-202-220000000−2i32i3000002i−2i−2i2i000000000−2i32i30000000000000−2323000000000000000000000000000000
χ844-44-4-24000042-4-42-2−4i4i4i−4i-202-2200000002i3−2i3000002i−2i−2i2i0000000002i3−2i3000000000000023−23000000000000000000000000000000
χ854-4-444-24-400242-2-4-40000-20-2224-40-2200000000000000000000-2200000000000−2i22i2−2i22i200000000000000000000i2−i2i2−i200000000
χ864-4-444-24-400242-2-4-40000-20-2224-40-2200000000000000000000-22000000000002i2−2i22i2−2i200000000000000000000−i2i2−i2i200000000
χ874-4-444-2-4400242-2-4-40000-20-222-4402-2000000000000000000002-200000000000−2i22i22i2−2i200000000000000000000i2−i2−i2i200000000
χ884-4-444-2-4400242-2-4-40000-20-222-4402-2000000000000000000002-2000000000002i2−2i2−2i22i200000000000000000000−i2i2i2−i200000000
χ894-4-44-244-400-4-2-44224-44-4-20-222-2204-4000004-400-22-220000000-22000000000-22000000000000000000000000000000000000
χ904-4-44-244-400-4-2-4422-44-44-20-222-2204-400000-44002-22-20000000-220000000002-2000000000000000000000000000000000000
χ914-4-44-24-4400-4-2-44224-44-4-20-2222-20-4400000-4400-22-2200000002-20000000002-2000000000000000000000000000000000000
χ924-4-44-24-4400-4-2-4422-44-44-20-2222-20-44000004-4002-22-200000002-2000000000-22000000000000000000000000000000000000
χ9388-8-8-4-4008-844-44-44000020-2-2200400-4400-400000000000000000002-20000000000000000000000000000000000000000000
χ9488-8-8-4-400-8844-44-44000020-2-2200-4004-40040000000000000000000-220000000000000000000000000000000000000000000
χ958-88-88-40000-4-844-880000-404-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-40000-44444-4000020-22-20000000−4i34i30000000000000000002i3−2i3000000000000000000000000000000000000000000000
χ978-88-8-4-40000-44444-4000020-22-200000004i3−4i3000000000000000000−2i32i3000000000000000000000000000000000000000000000
χ988-8-88-4-48-8004-44-4440000202-2-2-440-44000000000000000000002-200000000000000000000000000000000000000000000000
χ998-8-88-4-4-88004-44-4440000202-2-24-404-400000000000000000000-2200000000000000000000000000000000000000000000000

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