Finite Group Databasebeta

← Group #11865758

Character table — Group #11865758

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222222222333344444444444444466666666888888888888812121212121212121212121212121216161616161624242424242424242424242424243636363636363636
order1222334444666666444434666121212121212121212122244121212122266661212121212121244444668888121212126666664412121212121212122424242422448888
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
χ91111111-1-1111111111111-1111-1-1-1-1-1-1111111-1-111111-111-1-1-111-1-1-1-111-1-1-11111-1-1-1-1-1-11-111-1-11-111-1-111-1-111-1-1-1-11111-1-1
χ101111111-1-1111111111111-1111-1-1-1-1-1-1111111-1-111111-111-1-1-111-1-1-1-1-1-1-11111-1-111-1-1-1-11-111-1-11-1-1-11111-1-1-1-11111-1-1-1-111
χ111111111-1-1111111111111-1111-1-1-1-1-1-1111111-1-11111-11-1-111-111-1-1-1-111-1-1-111-1-111-1-1-1-1-11-1-111-1111-1-1-1-111-1-111-1-111-1-111
χ121111111-1-1111111111111-1111-1-1-1-1-1-1111111-1-11111-11-1-111-111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-111-11-1-111-1-11111-1-111-1-111-1-1
χ131111111-1-11111111-1-1-1-11-1111-1-1-1-1-1-11111-1-111-1-1-1-11-111-1-1-111-1-1-1-1111-1-1-1-111-1-111111-111-1-1-1111-1-1-1-11111-1-111-1-1-1-111
χ141111111-1-11111111-1-1-1-11-1111-1-1-1-1-1-11111-1-111-1-1-1-11-111-1-1-111-1-1-1-1-1-1111-1-1-1-11111111-111-1-1-11-1-111-1-111-1-111-1-11111-1-1
χ151111111-1-11111111-1-1-1-11-1111-1-1-1-1-1-11111-1-111-1-1-1-1-11-1-111-111-1-1-1-1111-1-1-1-1-1-1111111-11-1-1111-111-1-111-1-1-1-11111-1-111-1-1
χ161111111-1-11111111-1-1-1-11-1111-1-1-1-1-1-11111-1-111-1-1-1-1-11-1-111-111-1-1-1-1-1-1111-1-111-1-11111-11-1-1111-1-1-11111-1-111-1-1-1-111-1-111
χ17222222-222-222222222222-22222222-2-2-2-2-2-2-2-2222222000000-2-2-222-2-200-200-2-2000022-2-20000000000000000000000000000
χ18222222-222-2222222-2-2-2-22-22222222-2-2-2-2-2-222-2-2-2-2-2-2000000-2-2-222-2-200200220000-2-2220000000000000000000000000000
χ19222222-2-2-2-2222222222222222-2-2-2-222-2-2-2-2-2-2-2-222220000002-2-2-2-22200200-2-20000-2-2220000000000000000000000000000
χ20222222-2-2-2-2222222-2-2-2-222222-2-2-2-222-2-2-2-22222-2-2-2-20000002-2-2-2-22200-20022000022-2-20000000000000000000000000000
χ2122222-122222-1-122-12222-12-1-1-122-1-1-1-12-1-122222-1-1-1-122-1-1-1-12-1-1-1-1-1-100200-1-10000-1-1-1-122-1-1-1-1220000-1-1-1-1000000000000
χ2222222-122222-1-122-12222-12-1-1-122-1-1-1-12-1-122222-1-1-1-1-2-211112-1-1-1-1-1-100200-1-10000-1-1-1-1-2-21111-2-200001111000000000000
χ2322222-122222-1-122-1-2-2-2-2-12-1-1-122-1-1-1-12-1-12-2-2-2-2111122-1-1-1-12-1-1-1-1-1-100-200110000111122-1-1-1-1-2-200001111000000000000
χ2422222-122222-1-122-1-2-2-2-2-12-1-1-122-1-1-1-12-1-12-2-2-2-21111-2-211112-1-1-1-1-1-100-2001100001111-2-21111220000-1-1-1-1000000000000
χ2522222-12-2-222-1-122-12222-1-2-1-1-1-2-211112-1-1222-2-2-1-1-1-12-2-1-111-2-1-1111100-200-1-1000011112-2-1-1112-20000-1-111000000000000
χ2622222-12-2-222-1-122-12222-1-2-1-1-1-2-211112-1-1222-2-2-1-1-1-1-2211-1-1-2-1-1111100-200-1-100001111-2211-1-1-22000011-1-1000000000000
χ2722222-12-2-222-1-122-1-2-2-2-2-1-2-1-1-1-2-211112-1-12-2-22211112-2-1-111-2-1-1111100200110000-1-1-1-12-2-1-111-22000011-1-1000000000000
χ2822222-12-2-222-1-122-1-2-2-2-2-1-2-1-1-1-2-211112-1-12-2-2221111-2211-1-1-2-1-1111100200110000-1-1-1-1-2211-1-12-20000-1-111000000000000
χ2922222-1-222-22-1-122-12222-1-2-1-1-122-1-111-211-2-2-222-1-1-1-100−i3i3−i3i3-211-1-11100-200110000-1-11100−i3i3−i3i3000000−i3i3−i3i3000000000000
χ3022222-1-222-22-1-122-12222-1-2-1-1-122-1-111-211-2-2-222-1-1-1-100i3−i3i3−i3-211-1-11100-200110000-1-11100i3−i3i3−i3000000i3−i3i3−i3000000000000
χ3122222-1-222-22-1-122-1-2-2-2-2-1-2-1-1-122-1-111-211-222-2-2111100−i3i3−i3i3-211-1-11100200-1-1000011-1-100−i3i3−i3i3000000i3−i3i3−i3000000000000
χ3222222-1-222-22-1-122-1-2-2-2-2-1-2-1-1-122-1-111-211-222-2-2111100i3−i3i3−i3-211-1-11100200-1-1000011-1-100i3−i3i3−i3000000−i3i3−i3i3000000000000
χ3322222-1-2-2-2-22-1-122-12222-12-1-1-1-2-211-1-1-211-2-2-2-2-2-1-1-1-100−i3i3i3−i321111-1-10020011000011-1-100−i3i3i3−i3000000−i3i3i3−i3000000000000
χ3422222-1-2-2-2-22-1-122-12222-12-1-1-1-2-211-1-1-211-2-2-2-2-2-1-1-1-100i3−i3−i3i321111-1-10020011000011-1-100i3−i3−i3i3000000i3−i3−i3i3000000000000
χ3522222-1-2-2-2-22-1-122-1-2-2-2-2-12-1-1-1-2-211-1-1-211-22222111100−i3i3i3−i321111-1-100-200-1-10000-1-11100−i3i3i3−i3000000i3−i3−i3i3000000000000
χ3622222-1-2-2-2-22-1-122-1-2-2-2-2-12-1-1-1-2-211-1-1-211-22222111100i3−i3−i3i321111-1-100-200-1-10000-1-11100i3−i3−i3i3000000−i3i3i3−i3000000000000
χ372222-122222-122-1-120000-12-1-1-1-1-12222-122-100000000222222-1-1-1-1-1-1-1220220022220000-1-1-1-1-1-100-1-1-1-10000-1-1-1-100000000
χ382222-122222-122-1-120000-12-1-1-1-1-12222-122-100000000222222-1-1-1-1-1-1-1-2-20-2-200-2-2-2-20000-1-1-1-1-1-10011110000111100000000
χ392222-122222-122-1-120000-12-1-1-1-1-12222-122-100000000-2-2-2-2-2-2-1-1-1-1-1-1-12202200-2-2-2-2000011111100-1-1-1-10000111100000000
χ402222-122222-122-1-120000-12-1-1-1-1-12222-122-100000000-2-2-2-2-2-2-1-1-1-1-1-1-1-2-20-2-200222200001111110011110000-1-1-1-100000000
χ412222-122-2-22-122-1-120000-1-2-1-1-111-2-2-2-2-122-1000000002-222-2-21-1-11111220-2-20022-2-20000-11-1-11100-1-1110000-1-11100000000
χ422222-122-2-22-122-1-120000-1-2-1-1-111-2-2-2-2-122-1000000002-222-2-21-1-11111-2-202200-2-2220000-11-1-1110011-1-1000011-1-100000000
χ432222-122-2-22-122-1-120000-1-2-1-1-111-2-2-2-2-122-100000000-22-2-2221-1-11111220-2-200-2-22200001-111-1-100-1-111000011-1-100000000
χ442222-122-2-22-122-1-120000-1-2-1-1-111-2-2-2-2-122-100000000-22-2-2221-1-11111-2-20220022-2-200001-111-1-10011-1-10000-1-11100000000
χ452-22-22202-2022-2-2-2-22i2i−2i−2i202-2-22-22-2000000002i−2i2i2i−2i−2i0000000002-2000000000−i2i2−i2i22i−2i000000000000000000−i2i2−i2i200002−22−2
χ462-22-22202-2022-2-2-2-22i2i−2i−2i202-2-22-22-2000000002i−2i2i2i−2i−2i0000000002-2000000000i2−i2i2−i22i−2i000000000000000000i2−i2i2−i20000−22−22
χ472-22-22202-2022-2-2-2-2−2i−2i2i2i202-2-22-22-200000000−2i2i−2i−2i2i2i0000000002-2000000000−i2i2−i2i2−2i2i000000000000000000−i2i2−i2i20000−22−22
χ482-22-22202-2022-2-2-2-2−2i−2i2i2i202-2-22-22-200000000−2i2i−2i−2i2i2i0000000002-2000000000i2−i2i2−i2−2i2i000000000000000000i2−i2i2−i200002−22−2
χ492-22-2220-22022-2-2-2-22i2i−2i−2i202-2-2-22-2200000000−2i2i2i2i−2i−2i000000000-22000000000−i2i2i2−i2−2i2i000000000000000000−i2i2i2−i200002−2−22
χ502-22-2220-22022-2-2-2-22i2i−2i−2i202-2-2-22-2200000000−2i2i2i2i−2i−2i000000000-22000000000i2−i2−i2i2−2i2i000000000000000000i2−i2−i2i20000−222−2
χ512-22-2220-22022-2-2-2-2−2i−2i2i2i202-2-2-22-22000000002i−2i−2i−2i2i2i000000000-22000000000−i2i2i2−i22i−2i000000000000000000−i2i2i2−i20000−222−2
χ522-22-2220-22022-2-2-2-2−2i−2i2i2i202-2-2-22-22000000002i−2i−2i−2i2i2i000000000-22000000000i2−i2−i2i22i−2i000000000000000000i2−i2−i2i200002−2−22
χ532-2-2222200-2-2-2-22-222-22-220-22-200000022-2-22-2002-22-200000002-200002i−2i0002-200000000000000002i−2i0000000000002i−2i0000
χ542-2-2222200-2-2-2-22-222-22-220-22-200000022-2-22-2002-22-200000002-20000−2i2i0002-20000000000000000−2i2i000000000000−2i2i0000
χ552-2-2222200-2-2-2-22-22-22-2220-22-200000022-2-2-2200-22-2200000002-200002i−2i000-2200000000000000002i−2i000000000000−2i2i0000
χ562-2-2222200-2-2-2-22-22-22-2220-22-200000022-2-2-2200-22-2200000002-20000−2i2i000-220000000000000000−2i2i0000000000002i−2i0000
χ572-2-2222-2002-2-2-22-222-22-220-22-2000000-2-222-22002-22-20000000-2200000002-2-220000000000000000002-2000000002-2000000
χ582-2-2222-2002-2-2-22-222-22-220-22-2000000-2-222-22002-22-20000000-220000000-22-22000000000000000000-2200000000-22000000
χ592-2-2222-2002-2-2-22-22-22-2220-22-2000000-2-2222-200-22-220000000-2200000002-22-20000000000000000002-200000000-22000000
χ602-2-2222-2002-2-2-22-22-22-2220-22-2000000-2-2222-200-22-220000000-220000000-222-2000000000000000000-22000000002-2000000
χ614444-24-444-4-244-2-240000-2-4-2-2-2-2-244-4-42-4-4200000000000000222-2-2220000000000000000000000000000000000000000000
χ624444-24-4-4-4-4-244-2-240000-24-2-2-222-4-4442-4-4200000000000000-22222-2-20000000000000000000000000000000000000000000
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
χ654444-2-24-4-44-2-2-2-2-2-200001-4111222222-2-2-2-2000000004-4-2-222211-1-1-1-1000000000000000-2211-1-10000000000000000000000
χ664444-2-24-4-44-2-2-2-2-2-200001-4111222222-2-2-2-200000000-4422-2-2211-1-1-1-10000000000000002-2-1-1110000000000000000000000
χ674444-2-2-444-4-2-2-2-2-2-200001-4111-2-2-2-22222220000000000−2i32i3−2i32i32-1-111-1-100000000000000000i3−i3i3−i30000000000000000000000
χ684444-2-2-444-4-2-2-2-2-2-200001-4111-2-2-2-222222200000000002i3−2i32i3−2i32-1-111-1-100000000000000000−i3i3−i3i30000000000000000000000
χ694444-2-2-4-4-4-4-2-2-2-2-2-20000141112222-2-222220000000000−2i32i32i3−2i3-2-1-1-1-11100000000000000000i3−i3−i3i30000000000000000000000
χ704444-2-2-4-4-4-4-2-2-2-2-2-20000141112222-2-2222200000000002i3−2i3−2i32i3-2-1-1-1-11100000000000000000−i3i3i3−i30000000000000000000000
χ7144-4-4440000-4-44-44-44i−4i−4i4i40-4-44000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ7244-4-4440000-4-44-44-4−4i4i4i−4i40-4-4400000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ7344-4-44-20000-42-2-4424i−4i−4i4i-2022-20000−2i32i300000000−2i2i2i−2i00000000000−2i32i3000000000000023−230000000000000000000000000000
χ7444-4-44-20000-42-2-4424i−4i−4i4i-2022-200002i3−2i300000000−2i2i2i−2i000000000002i3−2i30000000000000−23230000000000000000000000000000
χ7544-4-44-20000-42-2-442−4i4i4i−4i-2022-20000−2i32i3000000002i−2i−2i2i00000000000−2i32i30000000000000−23230000000000000000000000000000
χ7644-4-44-20000-42-2-442−4i4i4i−4i-2022-200002i3−2i3000000002i−2i−2i2i000000000002i3−2i3000000000000023−230000000000000000000000000000
χ774-44-44-204-404-22-4-424i4i−4i−4i-20-2224-4-22000000004i−4i−2i−2i2i2i000000000-220000000000000−2i2i000000000000000000000000000000
χ784-44-44-204-404-22-4-42−4i−4i4i4i-20-2224-4-2200000000−4i4i2i2i−2i−2i000000000-2200000000000002i−2i000000000000000000000000000000
χ794-44-44-20-4404-22-4-424i4i−4i−4i-20-222-442-200000000−4i4i−2i−2i2i2i0000000002-200000000000002i−2i000000000000000000000000000000
χ804-44-44-20-4404-22-4-42−4i−4i4i4i-20-222-442-2000000004i−4i2i2i−2i−2i0000000002-20000000000000−2i2i000000000000000000000000000000
χ814-44-4-2404-40-24-422-40000-20-222-224-400000000000000000000000-22000000000−2i22i2−2i22i200000000000000000000i2−i2i2−i200000000
χ824-44-4-2404-40-24-422-40000-20-222-224-400000000000000000000000-220000000002i2−2i22i2−2i200000000000000000000−i2i2−i2i200000000
χ834-44-4-240-440-24-422-40000-20-2222-2-44000000000000000000000002-2000000000−2i22i22i2−2i200000000000000000000i2−i2−i2i200000000
χ844-44-4-240-440-24-422-40000-20-2222-2-44000000000000000000000002-20000000002i2−2i2−2i22i200000000000000000000−i2i2i2−i200000000
χ854-4-444-2400-4-4224-4-24-44-4-202-220000004-22-44-400-22-220000000-22000000000-22000000000000000000000000000000000000
χ864-4-444-2400-4-4224-4-2-44-44-202-220000004-22-4-44002-22-20000000-220000000002-2000000000000000000000000000000000000
χ874-4-444-2-4004-4224-4-24-44-4-202-22000000-42-24-4400-22-2200000002-20000000002-2000000000000000000000000000000000000
χ884-4-444-2-4004-4224-4-2-44-44-202-22000000-42-244-4002-22-200000002-2000000000-22000000000000000000000000000000000000
χ894-4-44-24400-42-4-4-2240000-202-22000000-24-42000000000000000-2200004i−4i000000000000000000000−2i2i000000000000000000
χ904-4-44-24400-42-4-4-2240000-202-22000000-24-42000000000000000-220000−4i4i0000000000000000000002i−2i000000000000000000
χ914-4-44-24-40042-4-4-2240000-202-220000002-44-20000000000000002-200000004-400000000000000000000-220000000000000000
χ924-4-44-24-40042-4-4-2240000-202-220000002-44-20000000000000002-20000000-44000000000000000000002-20000000000000000
χ9388-8-8-4800004-884-4-80000-4044-400000000000000000000000000000000000000000000000000000000000000000000000000
χ9488-8-8-4-4000044-44-44000020-2-220000−4i34i3000000000000000000000002i3−2i30000000000000000000000000000000000000000000
χ9588-8-8-4-4000044-44-44000020-2-2200004i3−4i300000000000000000000000−2i32i30000000000000000000000000000000000000000000
χ968-88-8-4-408-80-4-444440000202-2-2-44-44000000000000000000000002-2000000000000000000000000000000000000000000000
χ978-88-8-4-40-880-4-444440000202-2-24-44-400000000000000000000000-22000000000000000000000000000000000000000000000
χ988-8-88-4-4800-8444-44-4000020-22-2000000-4-4440000000000000002-200000000000000000000000000000000000000000000000
χ998-8-88-4-4-8008444-44-4000020-22-200000044-4-4000000000000000-2200000000000000000000000000000000000000000000000

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