Finite Group Databasebeta

← Group #11870720

Character table — Group #11870720

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222222222333344444444444444466666666888888888888812121212121212121212121212121216161616161624242424242424242424242424243636363636363636
order122222334466666644443466666661212121212124444121212122466661212121212121244444888812121212121266612121224661212121212122424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1111-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1111-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111111111111-11111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ71111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1
χ91111-1-1111111111111111-1-1-1-1-111111-1-111-1-11111111-111-1-1-1-1-111-1-111-1-1-111-1-111-1-1-1-1111-1-1-1-11-1-11111-1-111-1-111-1-111-1-1
χ101111-1-1111111111111111-1-1-1-1-111111-1-111-1-11111111-111-1-1-1-1-111-1-1-1-111-1-1-11111-1-1-1-1111-1-1-1-11-1-111-1-111-1-111-1-111-1-111
χ111111-1-1111111111111111-1-1-1-1-111111-1-111-1-1111111-11-1-1-1-1-11111-1-111-1-1-1-1-11111-1-1-1-1-1-1-11111-111-1-111-1-1-1-11111-1-1-1-111
χ121111-1-1111111111111111-1-1-1-1-111111-1-111-1-1111111-11-1-1-1-1-11111-1-1-1-111-111-1-111-1-1-1-1-1-1-11111-111-1-1-1-11111-1-1-1-11111-1-1
χ131111-1-11111111111-1-1-1-11-1-1-1-1-111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-111-1-111-1-1111-1-1-1-11111111-1-1-11-111-1-111-1-111-1-1-1-111-1-111
χ141111-1-11111111111-1-1-1-11-1-1-1-1-111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-111-1-1-1-1111-1-111-1-11111111-1-1-11-111-1-1-1-111-1-11111-1-111-1-1
χ151111-1-11111111111-1-1-1-11-1-1-1-1-111111-1-11111-1-1-1-1-1-1-11-1-1-1-1-11111-1-111-1-11-1-111-1-11111-1-1-1111-11-1-11111-1-1-1-111-1-11111-1-1
χ161111-1-11111111111-1-1-1-11-1-1-1-1-111111-1-11111-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1111-11-1-111-1-11111-1-111-1-1-1-111
χ1722222222-2-222222222222-22222222-2-2-2-2-2-222-2-22222000022-200-2-2-2-20000-20000-2-2-2-2220000000000000000000000000000
χ1822222222-2-2222222-2-2-2-22-22222222-2-2-2-2-2-2-2-222-2-2-2-2000022-200-2-2-2-20000200002222-2-20000000000000000000000000000
χ192222222-12222-1-12-12222-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-122-1-1-1-12-1-1-1-1-1-1000020000-1-1-1-1-1-12-1-12-1-122-1-1-1-10000000000000000
χ202222222-12222-1-12-12222-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-2-211-1-1211-1-1-1-1000020000-1-1-1-1-1-1-211-211-2-211110000000000000000
χ212222222-12222-1-12-1-2-2-2-2-1222-1-1-1-1-1-1-1-1-122-2-2-2-2111122-1-1-1-12-1-1-1-1-1-10000-200001111112-1-12-1-1-2-211110000000000000000
χ222222222-12222-1-12-1-2-2-2-2-1222-1-1-1-1-1-1-1-1-122-2-2-2-21111-2-211-1-1211-1-1-1-10000-20000111111-211-21122-1-1-1-10000000000000000
χ232222222-1-2-222-1-12-12222-1-222-1-1-1-1-11111-2-222-2-2-1-1-1-100−i3i3-1-1-2−i3i311110000-200001111-1-10−i3i30−i3i300−i3i3−i3i30000000000000000
χ242222222-1-2-222-1-12-12222-1-222-1-1-1-1-11111-2-222-2-2-1-1-1-100i3−i3-1-1-2i3−i311110000-200001111-1-10i3−i30i3−i300i3−i3i3−i30000000000000000
χ252222222-1-2-222-1-12-1-2-2-2-2-1-222-1-1-1-1-11111-2-2-2-222111100−i3i3-1-1-2−i3i31111000020000-1-1-1-1110−i3i30−i3i300i3−i3i3−i30000000000000000
χ262222222-1-2-222-1-12-1-2-2-2-2-1-222-1-1-1-1-11111-2-2-2-222111100i3−i3-1-1-2i3−i31111000020000-1-1-1-1110i3−i30i3−i300−i3i3−i3i30000000000000000
χ27222222-1222-1-122-120000-12-1-122-1-1-12222-1-1000000002222-1-1-122-1-1-1-1222202222000000-1-1-1-1-1-1000000-1-1-1-1-1-1-1-100000000
χ28222222-1222-1-122-120000-12-1-122-1-1-12222-1-1000000002222-1-1-122-1-1-1-1-2-2-2-20-2-2-2-2000000-1-1-1-1-1-10000001111111100000000
χ29222222-1222-1-122-120000-12-1-122-1-1-12222-1-100000000-2-2-2-2-1-1-1-2-2-1-1-1-122220-2-2-2-2000000111111000000-1-1-1-1111100000000
χ30222222-1222-1-122-120000-12-1-122-1-1-12222-1-100000000-2-2-2-2-1-1-1-2-2-1-1-1-1-2-2-2-2022220000001111110000001111-1-1-1-100000000
χ312222-2-222-2-2222222222222-2-2-2-2222-2-222-2-2-2-2-2-222220000-2-2200-2-222000020000-2-222-2-20000000000000000000000000000
χ322222-2-222-2-2222222-2-2-2-222-2-2-2-2222-2-222-2-22222-2-2-2-20000-2-2200-2-2220000-2000022-2-2220000000000000000000000000000
χ332222-2-22-12222-1-12-12222-1-2-2-211-1-1-1-1-11122-2-222-1-1-1-12-2-1-111-211-1-1110000-20000-1-111112-1-1-211-2211-1-10000000000000000
χ342222-2-22-12222-1-12-12222-1-2-2-211-1-1-1-1-11122-2-222-1-1-1-1-221111-2-1-1-1-1110000-20000-1-11111-2112-1-12-2-1-1110000000000000000
χ352222-2-22-12222-1-12-1-2-2-2-2-1-2-2-211-1-1-1-1-1112222-2-211112-2-1-111-211-1-11100002000011-1-1-1-12-1-1-2112-2-1-1110000000000000000
χ362222-2-22-12222-1-12-1-2-2-2-2-1-2-2-211-1-1-1-1-1112222-2-21111-221111-2-1-1-1-11100002000011-1-1-1-1-2112-1-1-2211-1-10000000000000000
χ372222-2-22-1-2-222-1-12-12222-12-2-211-1-1-111-1-1-2-2-2-2-2-2-1-1-1-100−i3i3112i3−i311-1-100002000011-1-1110−i3i30i3−i300i3−i3−i3i30000000000000000
χ382222-2-22-1-2-222-1-12-12222-12-2-211-1-1-111-1-1-2-2-2-2-2-2-1-1-1-100i3−i3112−i3i311-1-100002000011-1-1110i3−i30−i3i300−i3i3i3−i30000000000000000
χ392222-2-22-1-2-222-1-12-1-2-2-2-2-12-2-211-1-1-111-1-1-2-22222111100−i3i3112i3−i311-1-10000-20000-1-111-1-10−i3i30i3−i300−i3i3i3−i30000000000000000
χ402222-2-22-1-2-222-1-12-1-2-2-2-2-12-2-211-1-1-111-1-1-2-22222111100i3−i3112−i3i311-1-10000-20000-1-111-1-10i3−i30−i3i300i3−i3−i3i30000000000000000
χ412222-2-2-1222-1-122-120000-1-211-2-2-1-1-122-2-2-1-1000000002-222111-2-2-1-11122-2-2022-2-2000000-1-1-1111000000-1-111-1-11100000000
χ422222-2-2-1222-1-122-120000-1-211-2-2-1-1-122-2-2-1-1000000002-222111-2-2-1-111-2-2220-2-222000000-1-1-111100000011-1-111-1-100000000
χ432222-2-2-1222-1-122-120000-1-211-2-2-1-1-122-2-2-1-100000000-22-2-211122-1-11122-2-20-2-222000000111-1-1-1000000-1-11111-1-100000000
χ442222-2-2-1222-1-122-120000-1-211-2-2-1-1-122-2-2-1-100000000-22-2-211122-1-111-2-222022-2-2000000111-1-1-100000011-1-1-1-11100000000
χ4522-2-200222-2-2-22-22-22i2i−2i−2i200000-22-22-2002-2002i−2i2i2i−2i−2i0000000002-200002-2000002i−2i0000000000000000002-20000002i−2i0000
χ4622-2-200222-2-2-22-22-22i2i−2i−2i200000-22-22-2002-2002i−2i2i2i−2i−2i0000000002-20000-22000002i−2i000000000000000000-22000000−2i2i0000
χ4722-2-200222-2-2-22-22-2−2i−2i2i2i200000-22-22-2002-200−2i2i−2i−2i2i2i0000000002-200002-200000−2i2i0000000000000000002-2000000−2i2i0000
χ4822-2-200222-2-2-22-22-2−2i−2i2i2i200000-22-22-2002-200−2i2i−2i−2i2i2i0000000002-20000-2200000−2i2i000000000000000000-220000002i−2i0000
χ4922-2-20022-22-2-22-22-22i2i−2i−2i200000-22-2-2200-2200−2i2i2i2i−2i−2i000000000-22002-20000000−2i2i00000000000000002-20000002i−2i000000
χ5022-2-20022-22-2-22-22-22i2i−2i−2i200000-22-2-2200-2200−2i2i2i2i−2i−2i000000000-2200-220000000−2i2i0000000000000000-22000000−2i2i000000
χ5122-2-20022-22-2-22-22-2−2i−2i2i2i200000-22-2-2200-22002i−2i−2i−2i2i2i000000000-22002-200000002i−2i00000000000000002-2000000−2i2i000000
χ5222-2-20022-22-2-22-22-2−2i−2i2i2i200000-22-2-2200-22002i−2i−2i−2i2i2i000000000-2200-2200000002i−2i0000000000000000-220000002i−2i000000
χ532-22-22-22200-22-2-2-222-22-2202-22-2-2-220000002-2002-22-200002-2000000000000−i2i2−i2i200002-20000000000000000−i2i2−i2i20000−i2i2−i2i2
χ542-22-22-22200-22-2-2-222-22-2202-22-2-2-220000002-2002-22-200002-2000000000000i2−i2i2−i200002-20000000000000000i2−i2i2−i20000i2−i2i2−i2
χ552-22-22-22200-22-2-2-22-22-22202-22-2-2-22000000-2200-22-2200002-2000000000000−i2i2−i2i20000-220000000000000000−i2i2−i2i20000i2−i2i2−i2
χ562-22-22-22200-22-2-2-22-22-22202-22-2-2-22000000-2200-22-2200002-2000000000000i2−i2i2−i20000-220000000000000000i2−i2i2−i20000−i2i2−i2i2
χ572-22-2-222200-22-2-2-222-22-220-22-22-2-22000000-22002-22-20000-22000000000000−i2i2i2−i20000-220000000000000000−i2i2i2−i20000−i2i2i2−i2
χ582-22-2-222200-22-2-2-222-22-220-22-22-2-22000000-22002-22-20000-22000000000000i2−i2−i2i20000-220000000000000000i2−i2−i2i20000i2−i2−i2i2
χ592-22-2-222200-22-2-2-22-22-2220-22-22-2-220000002-200-22-220000-22000000000000−i2i2i2−i200002-20000000000000000−i2i2i2−i20000i2−i2−i2i2
χ602-22-2-222200-22-2-2-22-22-2220-22-22-2-220000002-200-22-220000-22000000000000i2−i2−i2i200002-20000000000000000i2−i2−i2i20000−i2i2i2−i2
χ61444444-24-4-4-2-244-240000-2-4-2-244-2-2-2-4-4-4-422000000000000-2-220022220000000000000000000000000000000000000000000
χ62444444-2-244-2-2-2-2-2-2000014-2-2-2-2111-2-2-2-2-2-20000000044-2-211-2-2-21111000000000000000-211-2110000000000000000000000
χ63444444-2-244-2-2-2-2-2-2000014-2-2-2-2111-2-2-2-2-2-200000000-4-42211-22211110000000000000002-1-12-1-10000000000000000000000
χ64444444-2-2-4-4-2-2-2-2-2-200001-4-2-2-2-21112222220000000000−2i32i3112−2i32i3-1-1-1-10000000000000000i3−i30i3−i30000000000000000000000
χ65444444-2-2-4-4-2-2-2-2-2-200001-4-2-2-2-211122222200000000002i3−2i31122i3−2i3-1-1-1-10000000000000000−i3i30−i3i30000000000000000000000
χ664444-4-4-24-4-4-2-244-240000-2422-4-4-2-2-2-4-4442200000000000022-20022-2-20000000000000000000000000000000000000000000
χ674444-4-4-2-244-2-2-2-2-2-200001-42222111-2-222-2-2000000004-4-2-2-1-122211-1-1000000000000000-2112-1-10000000000000000000000
χ684444-4-4-2-244-2-2-2-2-2-200001-42222111-2-222-2-200000000-4422-1-12-2-211-1-10000000000000002-1-1-2110000000000000000000000
χ694444-4-4-2-2-4-4-2-2-2-2-2-2000014222211122-2-2220000000000−2i32i3-1-1-22i3−2i3-1-1110000000000000000i3−i30−i3i30000000000000000000000
χ704444-4-4-2-2-4-4-2-2-2-2-2-2000014222211122-2-22200000000002i3−2i3-1-1-2−2i32i3-1-1110000000000000000−i3i30i3−i30000000000000000000000
χ7144-4-4004-24-4-4-4-22424i4i−4i−4i-2000002-22-22004-4004i−4i−2i−2i2i2i000000000-2200000000000−2i2i00000000000000000000000000000000
χ7244-4-4004-24-4-4-4-2242−4i−4i4i4i-2000002-22-22004-400−4i4i2i2i−2i−2i000000000-22000000000002i−2i00000000000000000000000000000000
χ7344-4-4004-2-44-4-4-22424i4i−4i−4i-2000002-222-200-4400−4i4i−2i−2i2i2i0000000002-2000000000002i−2i00000000000000000000000000000000
χ7444-4-4004-2-44-4-4-2242−4i−4i4i4i-2000002-222-200-44004i−4i2i2i−2i−2i0000000002-200000000000−2i2i00000000000000000000000000000000
χ7544-4-400-244-4224-4-2-40000-2000002-224-400-2200000000000000000-2200004-40000000000000000000000000-22000000000000
χ7644-4-400-244-4224-4-2-40000-2000002-224-400-2200000000000000000-220000-4400000000000000000000000002-2000000000000
χ7744-4-400-24-44224-4-2-40000-2000002-22-44002-2000000000000000002-2004-40000000000000000000000000-2200000000000000
χ7844-4-400-24-44224-4-2-40000-2000002-22-44002-2000000000000000002-200-4400000000000000000000000002-200000000000000
χ794-44-44-44-200-4422-4-24-44-4-204-4-2222-20000004-400-22-220000-2200000000000000000000-220000000000000000000000000000
χ804-44-44-44-200-4422-4-2-44-44-204-4-2222-2000000-44002-22-20000-22000000000000000000002-20000000000000000000000000000
χ814-44-44-4-24002-2-4-4240000-20-224-422-2000000000000000000-22000000000000−2i22i2−2i22i20000000000000000000000i2−i2i2−i200000000
χ824-44-44-4-24002-2-4-4240000-20-224-422-2000000000000000000-220000000000002i2−2i22i2−2i20000000000000000000000−i2i2−i2i200000000
χ834-44-4-444-200-4422-4-24-44-4-20-442-222-2000000-4400-22-2200002-2000000000000000000002-20000000000000000000000000000
χ844-44-4-444-200-4422-4-2-44-44-20-442-222-20000004-4002-22-200002-200000000000000000000-220000000000000000000000000000
χ854-44-4-44-24002-2-4-4240000-202-2-4422-20000000000000000002-2000000000000−2i22i22i2−2i20000000000000000000000i2−i2−i2i200000000
χ864-44-4-44-24002-2-4-4240000-202-2-4422-20000000000000000002-20000000000002i2−2i2−2i22i20000000000000000000000−i2i2i2−i200000000
χ874-4-440044004-4-44-4-44i−4i−4i4i4000004-4-400000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ884-4-440044004-4-44-4-4−4i4i4i−4i4000004-4-40000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ894-4-44004-2004-42-2-424i−4i−4i4i-200000-2220023−23000000−2i2i2i−2i0000000000023−2300000000000−2i32i3000000000000000000000000000000
χ904-4-44004-2004-42-2-424i−4i−4i4i-200000-22200−2323000000−2i2i2i−2i00000000000−2323000000000002i3−2i3000000000000000000000000000000
χ914-4-44004-2004-42-2-42−4i4i4i−4i-200000-2220023−230000002i−2i−2i2i0000000000023−23000000000002i3−2i3000000000000000000000000000000
χ924-4-44004-2004-42-2-42−4i4i4i−4i-200000-22200−23230000002i−2i−2i2i00000000000−232300000000000−2i32i3000000000000000000000000000000
χ9388-8-800-4-48-844-44-440000200000-22-2-4400-44000000000000000002-2000000000000000000000000000000000000000000000
χ9488-8-800-4-4-8844-44-440000200000-22-24-4004-400000000000000000-22000000000000000000000000000000000000000000000
χ958-88-88-8-4-4004-4444-4000020-44-44-2-220000000000000000002-200000000000000000000000000000000000000000000000000
χ968-88-8-88-4-4004-4444-40000204-44-4-2-22000000000000000000-2200000000000000000000000000000000000000000000000000
χ978-8-8800-4800-44-884-80000-400000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-8800-4-400-444-44400002000002-2-20043−43000000000000000000000−23230000000000000000000000000000000000000000000
χ998-8-8800-4-400-444-44400002000002-2-200−434300000000000000000000023−230000000000000000000000000000000000000000000

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