Finite Group Databasebeta

← Group #11868607

Character table — Group #11868607

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222222222333344444444444444466666666888888888888812121212121212121212121212121216161616161624242424242424242424242424243636363636363636
order12223344446666664444346661212121212121212121222441212121244121212121212121212121244444668888121212121212121212124412121212121212122424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ41111111111111111111111111111111111111111111-1-11-1-1-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
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
χ71111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111
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
χ91111111-1-1111111111111-1111-1-1111-1-1-1-1111-1-111111-1-111-1-111-1-1-1-111-1-1-11111-1-1-1-1-1-1-1111-1-1-1111-1-111-1-111-1-111-1-111-1-1
χ101111111-1-1111111111111-1111-1-1111-1-1-1-1111-1-111111-1-111-1-111-1-1-1-1-1-111-111-1-111-1-1-1-1-1111-1-1-11-1-11111-1-1-1-111-1-111-1-111
χ111111111-1-1111111111111-1111-1-1111-1-1-1-1111-1-11111-11-1-1-11111-1-1-1-111-1-1-111-1-111-1-1-1-11-1-1-1111-111-1-1-1-111-1-11111-1-1-1-111
χ121111111-1-1111111111111-1111-1-1111-1-1-1-1111-1-11111-11-1-1-11111-1-1-1-1-1-111-11111-1-1-1-1-1-11-1-1-1111-1-1-111-1-11111-1-1-1-11111-1-1
χ131111111-1-11111111-1-1-1-11-1111-1-1111-1-1-1-11-1-111-1-1-1-11-1-111-1-111-1-1-1-111-1-11-1-111-1-11111-1111-1-11-111-1-1-1-11111-1-1-1-111-1-111
χ141111111-1-11111111-1-1-1-11-1111-1-1111-1-1-1-11-1-111-1-1-1-11-1-111-1-111-1-1-1-1-1-1111-1-1-1-1111111-1111-1-11-1-1-111-1-111-1-11111-1-111-1-1
χ151111111-1-11111111-1-1-1-11-1111-1-1111-1-1-1-11-1-111-1-1-1-1-11-1-1-11111-1-1-1-111-1-11-1-1-1-11111111-1-1-111-1111-1-111-1-1-1-111-1-11111-1-1
χ161111111-1-11111111-1-1-1-11-1111-1-1111-1-1-1-11-1-111-1-1-1-1-11-1-1-11111-1-1-1-1-1-1111-1-111-1-111111-1-1-111-11-1-11111-1-111-1-111-1-1-1-111
χ17222222-222-222222222222-222222-2-2-222-2-2-2-2-222222200-20000-2-222-2-20000-2-2-2000022-2-20000000000000000000000000000
χ18222222-222-2222222-2-2-2-22-222222-2-2-222-2-2-222-2-2-2-2-2-200-20000-2-222-2-200002220000-2-2220000000000000000000000000000
χ19222222-2-2-2-2222222222222222-2-2-2-2-2-2-222-2-2-2-2-222220020000-2-2-2-22200002-2-20000-2-2220000000000000000000000000000
χ20222222-2-2-2-2222222-2-2-2-222222-2-2-2-2-2-2-222-22222-2-2-2-20020000-2-2-2-2220000-222000022-2-20000000000000000000000000000
χ2122222-122222-122-1-12222-12-1-1-122-1-12-1-1-1-122222-1-1-1-1222-1-1-1-1-1-1-1-1-1-100002-1-10000-1-1-1-122-1-1-1-1220000-1-1-1-1000000000000
χ2222222-122222-122-1-12222-12-1-1-122-1-12-1-1-1-122222-1-1-1-1-2-221111-1-1-1-1-1-100002-1-10000-1-1-1-1-2-21111-2-200001111000000000000
χ2322222-122222-122-1-1-2-2-2-2-12-1-1-122-1-12-1-1-1-12-2-2-2-21111222-1-1-1-1-1-1-1-1-1-10000-2110000111122-1-1-1-1-2-200001111000000000000
χ2422222-122222-122-1-1-2-2-2-2-12-1-1-122-1-12-1-1-1-12-2-2-2-21111-2-221111-1-1-1-1-1-10000-21100001111-2-21111220000-1-1-1-1000000000000
χ2522222-12-2-222-122-1-12222-1-2-1-1-1-2-2-1-121111222-2-2-1-1-1-12-2-2-1-111-1-111110000-2-1-100001111-22-1-111-220000-1-111000000000000
χ2622222-12-2-222-122-1-12222-1-2-1-1-1-2-2-1-121111222-2-2-1-1-1-1-22-211-1-1-1-111110000-2-1-1000011112-211-1-12-2000011-1-1000000000000
χ2722222-12-2-222-122-1-1-2-2-2-2-1-2-1-1-1-2-2-1-1211112-2-22211112-2-2-1-111-1-1111100002110000-1-1-1-1-22-1-1112-2000011-1-1000000000000
χ2822222-12-2-222-122-1-1-2-2-2-2-1-2-1-1-1-2-2-1-1211112-2-2221111-22-211-1-1-1-1111100002110000-1-1-1-12-211-1-1-220000-1-111000000000000
χ2922222-1-222-22-122-1-12222-1-2-1-1-12211-2-1-111-2-2-222-1-1-1-100-2−i3i3−i3i311-1-1110000-2110000-1-11100−i3i3−i3i3000000−i3i3−i3i3000000000000
χ3022222-1-222-22-122-1-12222-1-2-1-1-12211-2-1-111-2-2-222-1-1-1-100-2i3−i3i3−i311-1-1110000-2110000-1-11100i3−i3i3−i3000000i3−i3i3−i3000000000000
χ3122222-1-222-22-122-1-1-2-2-2-2-1-2-1-1-12211-2-1-111-222-2-2111100-2−i3i3−i3i311-1-11100002-1-1000011-1-100−i3i3−i3i3000000i3−i3i3−i3000000000000
χ3222222-1-222-22-122-1-1-2-2-2-2-1-2-1-1-12211-2-1-111-222-2-2111100-2i3−i3i3−i311-1-11100002-1-1000011-1-100i3−i3i3−i3000000−i3i3−i3i3000000000000
χ3322222-1-2-2-2-22-122-1-12222-12-1-1-1-2-211-211-1-1-2-2-2-2-2-1-1-1-1002−i3i3i3−i31111-1-10000211000011-1-100−i3i3i3−i3000000−i3i3i3−i3000000000000
χ3422222-1-2-2-2-22-122-1-12222-12-1-1-1-2-211-211-1-1-2-2-2-2-2-1-1-1-1002i3−i3−i3i31111-1-10000211000011-1-100i3−i3−i3i3000000i3−i3−i3i3000000000000
χ3522222-1-2-2-2-22-122-1-1-2-2-2-2-12-1-1-1-2-211-211-1-1-222221111002−i3i3i3−i31111-1-10000-2-1-10000-1-11100−i3i3i3−i3000000i3−i3−i3i3000000000000
χ3622222-1-2-2-2-22-122-1-1-2-2-2-2-12-1-1-1-2-211-211-1-1-222221111002i3−i3−i3i31111-1-10000-2-1-10000-1-11100i3−i3−i3i3000000−i3i3i3−i3000000000000
χ372222-122222-12-1-1220000-12-1-1-1-1-122-12222-10000000022-12222-1-1-1-1-1-1222200022220000-1-1-1-1-1-100-1-1-1-10000-1-1-1-100000000
χ382222-122222-12-1-1220000-12-1-1-1-1-122-12222-10000000022-12222-1-1-1-1-1-1-2-2-2-2000-2-2-2-20000-1-1-1-1-1-10011110000111100000000
χ392222-122222-12-1-1220000-12-1-1-1-1-122-12222-100000000-2-2-1-2-2-2-2-1-1-1-1-1-12222000-2-2-2-2000011111100-1-1-1-10000111100000000
χ402222-122222-12-1-1220000-12-1-1-1-1-122-12222-100000000-2-2-1-2-2-2-2-1-1-1-1-1-1-2-2-2-2000222200001111110011110000-1-1-1-100000000
χ412222-122-2-22-12-1-1220000-1-2-1-1-11122-1-2-2-2-2-1000000002-2122-2-2-1-1111122-2-200022-2-200001-1-1-11100-1-1110000-1-11100000000
χ422222-122-2-22-12-1-1220000-1-2-1-1-11122-1-2-2-2-2-1000000002-2122-2-2-1-11111-2-222000-2-22200001-1-1-1110011-1-1000011-1-100000000
χ432222-122-2-22-12-1-1220000-1-2-1-1-11122-1-2-2-2-2-100000000-221-2-222-1-1111122-2-2000-2-2220000-1111-1-100-1-111000011-1-100000000
χ442222-122-2-22-12-1-1220000-1-2-1-1-11122-1-2-2-2-2-100000000-221-2-222-1-11111-2-22200022-2-20000-1111-1-10011-1-10000-1-11100000000
χ4522-2-222200-2-222-2-2-222-2-2202-2-2002-220000-22-20022-2-200000002-200002-20002-200000000000000002-200000000002-2000000
χ4622-2-222200-2-222-2-2-222-2-2202-2-2002-220000-22-20022-2-200000002-20000-220002-20000000000000000-220000000000-22000000
χ4722-2-222200-2-222-2-2-2-2-222202-2-2002-220000-2-2200-2-22200000002-200002-2000-2200000000000000002-20000000000-22000000
χ4822-2-222200-2-222-2-2-2-2-222202-2-2002-220000-2-2200-2-22200000002-20000-22000-220000000000000000-2200000000002-2000000
χ4922-2-222-2002-222-2-2-222-2-2202-2-200-22-200002-220022-2-20000000-220000002i−2i0-220000000000000000002i−2i00000000002i−2i0000
χ5022-2-222-2002-222-2-2-222-2-2202-2-200-22-200002-220022-2-20000000-22000000−2i2i0-22000000000000000000−2i2i0000000000−2i2i0000
χ5122-2-222-2002-222-2-2-2-2-222202-2-200-22-2000022-200-2-2220000000-220000002i−2i02-20000000000000000002i−2i0000000000−2i2i0000
χ5222-2-222-2002-222-2-2-2-2-222202-2-200-22-2000022-200-2-2220000000-22000000−2i2i02-2000000000000000000−2i2i00000000002i−2i0000
χ532-22-22202i−2i0-2-2-222-22i−2i2i−2i20-22-22i−2i0002i−2i000002-22i−2i2i−2i0000000002i−2i000000000−i2i22−22-2000000000000000000−i2i22−200002−2−i2i2
χ542-22-22202i−2i0-2-2-222-22i−2i2i−2i20-22-22i−2i0002i−2i000002-22i−2i2i−2i0000000002i−2i000000000i2−i2−222-2000000000000000000i2−i2−220000−22i2−i2
χ552-22-22202i−2i0-2-2-222-2−2i2i−2i2i20-22-22i−2i0002i−2i00000-22−2i2i−2i2i0000000002i−2i000000000−i2i22−2-22000000000000000000−i2i22−20000−22i2−i2
χ562-22-22202i−2i0-2-2-222-2−2i2i−2i2i20-22-22i−2i0002i−2i00000-22−2i2i−2i2i0000000002i−2i000000000i2−i2−22-22000000000000000000i2−i2−2200002−2−i2i2
χ572-22-2220−2i2i0-2-2-222-22i−2i2i−2i20-22-2−2i2i000−2i2i00000-222i−2i2i−2i000000000−2i2i000000000−i2i2−22-22000000000000000000−i2i2−2200002−2i2−i2
χ582-22-2220−2i2i0-2-2-222-22i−2i2i−2i20-22-2−2i2i000−2i2i00000-222i−2i2i−2i000000000−2i2i000000000i2−i22−2-22000000000000000000i2−i22−20000−22−i2i2
χ592-22-2220−2i2i0-2-2-222-2−2i2i−2i2i20-22-2−2i2i000−2i2i000002-2−2i2i−2i2i000000000−2i2i000000000−i2i2−222-2000000000000000000−i2i2−220000−22−i2i2
χ602-22-2220−2i2i0-2-2-222-2−2i2i−2i2i20-22-2−2i2i000−2i2i000002-2−2i2i−2i2i000000000−2i2i000000000i2−i22−22-2000000000000000000i2−i22−200002−2i2−i2
χ614444-24-444-4-24-2-2440000-2-4-2-2-2-2-2-4-4244-4-4200000000002000022-2-2220000000000000000000000000000000000000000000
χ624444-24-4-4-4-4-24-2-2440000-24-2-2-222-4-42-4-44420000000000-200002222-2-20000000000000000000000000000000000000000000
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
χ644444-2-24444-2-2-2-2-2-2000014111-2-2-2-2-2-2-2-2-2-200000000-4-4-2222211111100000000000000022-1-1-1-10000000000000000000000
χ654444-2-24-4-44-2-2-2-2-2-200001-411122-2-2-22222-2000000004-42-2-22211-1-1-1-10000000000000002-211-1-10000000000000000000000
χ664444-2-24-4-44-2-2-2-2-2-200001-411122-2-2-22222-200000000-44222-2-211-1-1-1-1000000000000000-22-1-1110000000000000000000000
χ674444-2-2-444-4-2-2-2-2-2-200001-4111-2-2222-2-222200000000002−2i32i3−2i32i3-1-111-1-100000000000000000i3−i3i3−i30000000000000000000000
χ684444-2-2-444-4-2-2-2-2-2-200001-4111-2-2222-2-2222000000000022i3−2i32i3−2i3-1-111-1-100000000000000000−i3i3−i3i30000000000000000000000
χ694444-2-2-4-4-4-4-2-2-2-2-2-20000141112222222-2-220000000000-2−2i32i32i3−2i3-1-1-1-11100000000000000000i3−i3−i3i30000000000000000000000
χ704444-2-2-4-4-4-4-2-2-2-2-2-20000141112222222-2-220000000000-22i3−2i3−2i32i3-1-1-1-11100000000000000000−i3i3i3−i30000000000000000000000
χ7144-4-44-2400-4-4-24-42244-4-4-20-22200-2240000-44-400-2-2220000000-22000000000-22000000000000000000000000000000000000
χ7244-4-44-2400-4-4-24-422-4-444-20-22200-2240000-4-440022-2-20000000-220000000002-2000000000000000000000000000000000000
χ7344-4-44-2-4004-4-24-42244-4-4-20-222002-2-400004-4400-2-22200000002-20000000002-2000000000000000000000000000000000000
χ7444-4-44-2-4004-4-24-422-4-444-20-222002-2-4000044-40022-2-200000002-2000000000-22000000000000000000000000000000000000
χ7544-4-4-24400-424-22-4-40000-20-222004-4-200002000000000000000-2200004-4000000000000000000000-22000000000000000000
χ7644-4-4-24400-424-22-4-40000-20-222004-4-200002000000000000000-220000-440000000000000000000002-2000000000000000000
χ7744-4-4-24-400424-22-4-40000-20-22200-4420000-20000000000000002-20000004i−4i000000000000000000000−2i2i0000000000000000
χ7844-4-4-24-400424-22-4-40000-20-22200-4420000-20000000000000002-2000000−4i4i0000000000000000000002i−2i0000000000000000
χ794-44-44-204i−4i0-42-44-224i−4i4i−4i-202-224i−4i000−2i2i000004-4−2i2i−2i2i000000000−2i2i0000000000000-22000000000000000000000000000000
χ804-44-44-204i−4i0-42-44-22−4i4i−4i4i-202-224i−4i000−2i2i00000-442i−2i2i−2i000000000−2i2i00000000000002-2000000000000000000000000000000
χ814-44-44-20−4i4i0-42-44-224i−4i4i−4i-202-22−4i4i0002i−2i00000-44−2i2i−2i2i0000000002i−2i00000000000002-2000000000000000000000000000000
χ824-44-44-20−4i4i0-42-44-22−4i4i−4i4i-202-22−4i4i0002i−2i000004-42i−2i2i−2i0000000002i−2i0000000000000-22000000000000000000000000000000
χ834-44-4-2404i−4i02-42-24-40000-202-22−2i2i0004i−4i00000000000000000000−2i2i000000000−2i22i222−2200000000000000000000i2−i2−2200000000
χ844-44-4-2404i−4i02-42-24-40000-202-22−2i2i0004i−4i00000000000000000000−2i2i0000000002i2−2i2−222200000000000000000000−i2i22−200000000
χ854-44-4-240−4i4i02-42-24-40000-202-222i−2i000−4i4i000000000000000000002i−2i000000000−2i22i2−222200000000000000000000i2−i22−200000000
χ864-44-4-240−4i4i02-42-24-40000-202-222i−2i000−4i4i000000000000000000002i−2i0000000002i2−2i222−2200000000000000000000−i2i2−2200000000
χ874-4-444400004-4-4-4-444i−4i−4i4i40-4-44000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ884-4-444400004-4-4-4-44−4i4i4i−4i40-4-4400000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ894-4-444-2000042-4-42-24i−4i−4i4i-2022-2000000023−2300000−2i2i2i−2i0000000000023−230000000000000−2i32i30000000000000000000000000000
χ904-4-444-2000042-4-42-24i−4i−4i4i-2022-20000000−232300000−2i2i2i−2i00000000000−232300000000000002i3−2i30000000000000000000000000000
χ914-4-444-2000042-4-42-2−4i4i4i−4i-2022-2000000023−23000002i−2i−2i2i0000000000023−2300000000000002i3−2i30000000000000000000000000000
χ924-4-444-2000042-4-42-2−4i4i4i−4i-2022-20000000−2323000002i−2i−2i2i00000000000−23230000000000000−2i32i30000000000000000000000000000
χ9388-8-8-4-4800-84-4-44440000202-2-200-44-4000040000000000000002-200000000000000000000000000000000000000000000000
χ9488-8-8-4-4-80084-4-44440000202-2-2004-440000-4000000000000000-2200000000000000000000000000000000000000000000000
χ958-88-8-4-408i−8i0444-4-44000020-22-2−4i4i000−4i4i000000000000000000002i−2i000000000000000000000000000000000000000000000
χ968-88-8-4-40−8i8i0444-4-44000020-22-24i−4i0004i−4i00000000000000000000−2i2i000000000000000000000000000000000000000000000
χ978-8-88-480000-4-844-880000-4044-400000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-40000-44444-4000020-2-22000000043−4300000000000000000000−23230000000000000000000000000000000000000000000
χ998-8-88-4-40000-44444-4000020-2-220000000−43430000000000000000000023−230000000000000000000000000000000000000000000

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