Finite Group Databasebeta

← Group #11863906

Character table — Group #11863906

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222222222333344444444444444466666666888888888888812121212121212121212121212121216161616161624242424242424242424242424243636363636363636
order122233444466666644442366666121212121212121222221212121244666121212121212121222444666688881212121212121212246666121212122424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-11-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1111-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1111-1-1-1-11111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-111-1-1-1-11111-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1
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
χ71111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1
χ9111111-1-1111111111111-11-1-111111-1-1-1-11111-1-111111-1-1-1-111-1-111-1-111-1-1-111-1-111-1-1-1-11-111-1-1-1111-1-111-1-111-1-1-1-11111-1-1
χ10111111-1-1111111111111-11-1-111111-1-1-1-11111-1-111111-1-1-1-111-1-111-1-1-1-1-11111-1-1-1-111-1-11-111-1-1-11-1-1-1-11111-1-11111-1-1-1-111
χ11111111-1-1111111111111-11-1-111111-1-1-1-11111-1-11111-11-1-1-1-1-11111-1-111-1-1-111-1-1-1-111-1-1-11-1-1111-11111-1-1-1-1-1-111-1-111-1-111
χ12111111-1-1111111111111-11-1-111111-1-1-1-11111-1-11111-11-1-1-1-1-11111-1-1-1-1-11111-1-111-1-1-1-1-11-1-1111-1-1-111-1-11111-1-111-1-111-1-1
χ13111111-1-111111111-1-1-1-1-11-1-111111-1-1-1-111-1-111-1-1-1-11-1-1-1-111-1-111-1-1111-1-1-1-11111-1-1111-111-1-11-11111-1-1-1-111-1-111-1-1-1-111
χ14111111-1-111111111-1-1-1-1-11-1-111111-1-1-1-111-1-111-1-1-1-11-1-1-1-111-1-111-1-1-1-1111-1-111-1-111111-111-1-11-1-1-111-1-111-1-111-1-11111-1-1
χ15111111-1-111111111-1-1-1-1-11-1-111111-1-1-1-111-1-111-1-1-1-1-11-1-1-1-1-11111-1-1111-1-1-1-111-1-11111-11-1-111-1111-1-111-1-1-1-11111-1-111-1-1
χ16111111-1-111111111-1-1-1-1-11-1-111111-1-1-1-111-1-111-1-1-1-1-11-1-1-1-1-11111-1-1-1-1111-1-11111-1-111-11-1-111-11-1-1-1-1111111-1-1-1-111-1-111
χ1722222222-2-22222222222-22-2-2222-2-22222-2-2-2-222222200-2-2-20000-2-22200-200-2-2220000-2-20000000000000000000000000000
χ1822222222-2-2222222-2-2-2-2-22-2-2222-2-22222-2-222-2-2-2-2-2-200-2-2-20000-2-2220020022-2-20000220000000000000000000000000000
χ19222222-2-2-2-222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222002220000-2-2-2-200200-2-2-2-20000220000000000000000000000000000
χ20222222-2-2-2-2222222-2-2-2-22222222-2-2-2-2-2-2-2-22222-2-2-2-2002220000-2-2-2-200-20022220000-2-20000000000000000000000000000
χ2122222-1222222-1-12-122222-1-1-1-1-1-1-1-122-1-1222222-1-1-1-1222-1-1-1-1-1-1-1-1-1-100200-1-1-1-10000-1-122-1-1-1-12200-1-1-1-100000000000000
χ2222222-1222222-1-12-122222-1-1-1-1-1-1-1-122-1-1222222-1-1-1-1-2-22-1-11111-1-1-1-100200-1-1-1-10000-1-1-2-21111-2-200111100000000000000
χ2322222-1222222-1-12-1-2-2-2-22-1-1-1-1-1-1-1-122-1-122-2-2-2-21111222-1-1-1-1-1-1-1-1-1-100-200111100001122-1-1-1-1-2-200111100000000000000
χ2422222-1222222-1-12-1-2-2-2-22-1-1-1-1-1-1-1-122-1-122-2-2-2-21111-2-22-1-11111-1-1-1-100-2001111000011-2-211112200-1-1-1-100000000000000
χ2522222-122-2-222-1-12-12222-2-111-1-1-11122-1-1-2-2-2-222-1-1-1-100-211−i3i3−i3i311-1-100-20011-1-100001100−i3i3−i3i30000−i3i3−i3i300000000000000
χ2622222-122-2-222-1-12-12222-2-111-1-1-11122-1-1-2-2-2-222-1-1-1-100-211i3−i3i3−i311-1-100-20011-1-100001100i3−i3i3−i30000i3−i3i3−i300000000000000
χ2722222-122-2-222-1-12-1-2-2-2-2-2-111-1-1-11122-1-1-2-222-2-2111100-211−i3i3−i3i311-1-100200-1-1110000-1-100−i3i3−i3i30000i3−i3i3−i300000000000000
χ2822222-122-2-222-1-12-1-2-2-2-2-2-111-1-1-11122-1-1-2-222-2-2111100-211i3−i3i3−i311-1-100200-1-1110000-1-100i3−i3i3−i30000−i3i3−i3i300000000000000
χ2922222-1-2-22222-1-12-12222-2-111-1-1-1-1-1-2-2112222-2-2-1-1-1-12-2-211-1-111-1-11100-200-1-1110000112-2-1-111-220011-1-100000000000000
χ3022222-1-2-22222-1-12-12222-2-111-1-1-1-1-1-2-2112222-2-2-1-1-1-1-22-21111-1-1-1-11100-200-1-111000011-2211-1-12-200-1-11100000000000000
χ3122222-1-2-22222-1-12-1-2-2-2-2-2-111-1-1-1-1-1-2-21122-2-22211112-2-211-1-111-1-1110020011-1-10000-1-12-2-1-1112-200-1-11100000000000000
χ3222222-1-2-22222-1-12-1-2-2-2-2-2-111-1-1-1-1-1-2-21122-2-2221111-22-21111-1-1-1-1110020011-1-10000-1-1-2211-1-1-220011-1-100000000000000
χ3322222-1-2-2-2-222-1-12-122222-1-1-1-1-1-111-2-211-2-2-2-2-2-2-1-1-1-1002-1-1−i3i3i3−i311110020011110000-1-100−i3i3i3−i30000i3−i3−i3i300000000000000
χ3422222-1-2-2-2-222-1-12-122222-1-1-1-1-1-111-2-211-2-2-2-2-2-2-1-1-1-1002-1-1i3−i3−i3i311110020011110000-1-100i3−i3−i3i30000−i3i3i3−i300000000000000
χ3522222-1-2-2-2-222-1-12-1-2-2-2-22-1-1-1-1-1-111-2-211-2-222221111002-1-1−i3i3i3−i3111100-200-1-1-1-100001100−i3i3i3−i30000−i3i3i3−i300000000000000
χ3622222-1-2-2-2-222-1-12-1-2-2-2-22-1-1-1-1-1-111-2-211-2-222221111002-1-1i3−i3−i3i3111100-200-1-1-1-100001100i3−i3−i3i30000i3−i3−i3i300000000000000
χ372222-122222-1-122-1200002-122-1-1-122-1-122-1-10000000022-1-1-12222-1-1-1-1220220000222200-1-1-1-1-1-100-1-10000-1-1-1-1-1-100000000
χ382222-122222-1-122-1200002-122-1-1-122-1-122-1-10000000022-1-1-12222-1-1-1-1-2-20-2-20000-2-2-2-200-1-1-1-1-1-10011000011111100000000
χ392222-122222-1-122-1200002-122-1-1-122-1-122-1-100000000-2-2-1-1-1-2-2-2-2-1-1-1-1220220000-2-2-2-20011111100-1-10000-1-1111100000000
χ402222-122222-1-122-1200002-122-1-1-122-1-122-1-100000000-2-2-1-1-1-2-2-2-2-1-1-1-1-2-20-2-200002222001111110011000011-1-1-1-100000000
χ412222-12-2-222-1-122-120000-2-1-2-2-1-1-12211-2-2-1-1000000002-211122-2-2-1-111220-2-2000022-2-200-11-1-11100-1-1000011-1-11100000000
χ422222-12-2-222-1-122-120000-2-1-2-2-1-1-12211-2-2-1-1000000002-211122-2-2-1-111-2-20220000-2-22200-11-1-11100110000-1-111-1-100000000
χ432222-12-2-222-1-122-120000-2-1-2-2-1-1-12211-2-2-1-100000000-22111-2-222-1-111220-2-20000-2-222001-111-1-100-1-100001111-1-100000000
χ442222-12-2-222-1-122-120000-2-1-2-2-1-1-12211-2-2-1-100000000-22111-2-222-1-111-2-2022000022-2-2001-111-1-100110000-1-1-1-11100000000
χ4522-2-2222i−2i00-222-2-2-22i2i−2i−2i0200-22-2002i−2i2i−2i00002-22i2i−2i−2i000000000002i−2i00000002-22−2−i2i20000000000000000002−2−i2i20000−i2i22−2
χ4622-2-2222i−2i00-222-2-2-22i2i−2i−2i0200-22-2002i−2i2i−2i00002-22i2i−2i−2i000000000002i−2i00000002-2−22i2−i2000000000000000000−22i2−i20000i2−i2−22
χ4722-2-2222i−2i00-222-2-2-2−2i−2i2i2i0200-22-2002i−2i2i−2i0000-22−2i−2i2i2i000000000002i−2i0000000-222−2−i2i20000000000000000002−2−i2i20000i2−i2−22
χ4822-2-2222i−2i00-222-2-2-2−2i−2i2i2i0200-22-2002i−2i2i−2i0000-22−2i−2i2i2i000000000002i−2i0000000-22−22i2−i2000000000000000000−22i2−i20000−i2i22−2
χ4922-2-222−2i2i00-222-2-2-22i2i−2i−2i0200-22-200−2i2i−2i2i0000-222i2i−2i−2i00000000000−2i2i0000000-222−2i2−i20000000000000000002−2i2−i20000−i2i2−22
χ5022-2-222−2i2i00-222-2-2-22i2i−2i−2i0200-22-200−2i2i−2i2i0000-222i2i−2i−2i00000000000−2i2i0000000-22−22−i2i2000000000000000000−22−i2i20000i2−i22−2
χ5122-2-222−2i2i00-222-2-2-2−2i−2i2i2i0200-22-200−2i2i−2i2i00002-2−2i−2i2i2i00000000000−2i2i00000002-22−2i2−i20000000000000000002−2i2−i20000i2−i22−2
χ5222-2-222−2i2i00-222-2-2-2−2i−2i2i2i0200-22-200−2i2i−2i2i00002-2−2i−2i2i2i00000000000−2i2i00000002-2−22−i2i2000000000000000000−22−i2i20000−i2i2−22
χ532-2-2222002-2-2-2-2-2222-22-20200-2-222-200002-22-2002-22-20000000002-2000002-22-200000000000000000000002-200002-2000000
χ542-2-2222002-2-2-2-2-2222-22-20200-2-222-200002-22-2002-22-20000000002-200000-222-20000000000000000000000-220000-22000000
χ552-2-2222002-2-2-2-2-222-22-220200-2-222-200002-2-2200-22-220000000002-2000002-2-2200000000000000000000002-20000-22000000
χ562-2-2222002-2-2-2-2-222-22-220200-2-222-200002-2-2200-22-220000000002-200000-22-220000000000000000000000-2200002-2000000
χ572-2-222200-22-2-2-2-2222-22-20200-2-22-220000-22-22002-22-2000000000-22002-2000-2200000000000000002-20000000000002-20000
χ582-2-222200-22-2-2-2-2222-22-20200-2-22-220000-22-22002-22-2000000000-2200-22000-220000000000000000-22000000000000-220000
χ592-2-222200-22-2-2-2-222-22-220200-2-22-220000-222-200-22-22000000000-22002-20002-200000000000000002-2000000000000-220000
χ602-2-222200-22-2-2-2-222-22-220200-2-22-220000-222-200-22-22000000000-2200-220002-20000000000000000-220000000000002-20000
χ614444-2444-4-4-2-244-240000-4-2-4-4-2-2-2-4-4-2-244220000000000222000022-2-20000000000000000000000000000000000000000000
χ624444-24-4-4-4-4-2-244-2400004-244-2-2-2-4-422-4-4220000000000-2-2-2000022220000000000000000000000000000000000000000000
χ634444-2-24444-2-2-2-2-2-2000041-2-2111-2-2-2-2-2-2-2-20000000044-211-2-2-2-21111000000000000000-2-211110000000000000000000000
χ644444-2-24444-2-2-2-2-2-2000041-2-2111-2-2-2-2-2-2-2-200000000-4-4-2112222111100000000000000022-1-1-1-10000000000000000000000
χ654444-2-244-4-4-2-2-2-2-2-20000-412211122-2-2-2-22200000000002-1-1−2i32i3−2i32i3-1-11100000000000000000i3−i3i3−i30000000000000000000000
χ664444-2-244-4-4-2-2-2-2-2-20000-412211122-2-2-2-22200000000002-1-12i3−2i32i3−2i3-1-11100000000000000000−i3i3−i3i30000000000000000000000
χ674444-2-2-4-444-2-2-2-2-2-20000-4122111-2-22222-2-2000000004-42-1-1-2-22211-1-1000000000000000-2211-1-10000000000000000000000
χ684444-2-2-4-444-2-2-2-2-2-20000-4122111-2-22222-2-200000000-442-1-122-2-211-1-10000000000000002-2-1-1110000000000000000000000
χ694444-2-2-4-4-4-4-2-2-2-2-2-2000041-2-2111222222220000000000-211−2i32i32i3−2i3-1-1-1-100000000000000000i3−i3−i3i30000000000000000000000
χ704444-2-2-4-4-4-4-2-2-2-2-2-2000041-2-2111222222220000000000-2112i3−2i3−2i32i3-1-1-1-100000000000000000−i3i3i3−i30000000000000000000000
χ7144-4-44-24i−4i00-44-22-424i4i−4i−4i0-2002-22004i−4i−2i2i00004-4−2i−2i2i2i00000000000−2i2i0000000-220000000000000000000000000000000000
χ7244-4-44-24i−4i00-44-22-42−4i−4i4i4i0-2002-22004i−4i−2i2i0000-442i2i−2i−2i00000000000−2i2i00000002-20000000000000000000000000000000000
χ7344-4-44-2−4i4i00-44-22-424i4i−4i−4i0-2002-2200−4i4i2i−2i0000-44−2i−2i2i2i000000000002i−2i00000002-20000000000000000000000000000000000
χ7444-4-44-2−4i4i00-44-22-42−4i−4i4i4i0-2002-2200−4i4i2i−2i00004-42i2i−2i−2i000000000002i−2i0000000-220000000000000000000000000000000000
χ7544-4-4-244i−4i002-24-42-400000-2002-2200−2i2i4i−4i000000000000000000000−2i2i00000000022−22−2i22i2000000000000000000−22i2−i200000000
χ7644-4-4-244i−4i002-24-42-400000-2002-2200−2i2i4i−4i000000000000000000000−2i2i000000000−22222i2−2i20000000000000000002−2−i2i200000000
χ7744-4-4-24−4i4i002-24-42-400000-2002-22002i−2i−4i4i0000000000000000000002i−2i00000000022−222i2−2i2000000000000000000−22−i2i200000000
χ7844-4-4-24−4i4i002-24-42-400000-2002-22002i−2i−4i4i0000000000000000000002i−2i000000000−2222−2i22i20000000000000000002−2i2−i200000000
χ794-44-44400004-4-44-4-44i−4i−4i4i04004-4-40000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ804-44-44400004-4-44-4-4−4i4i4i−4i04004-4-4000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ814-44-44-200004-42-2-424i−4i−4i4i0-2−2i32i3-222000000000000−2i2i2i−2i000−2i32i300000000000000000000023−230000000000000000000000000000
χ824-44-44-200004-42-2-424i−4i−4i4i0-22i3−2i3-222000000000000−2i2i2i−2i0002i3−2i3000000000000000000000−23230000000000000000000000000000
χ834-44-44-200004-42-2-42−4i4i4i−4i0-2−2i32i3-2220000000000002i−2i−2i2i000−2i32i3000000000000000000000−23230000000000000000000000000000
χ844-44-44-200004-42-2-42−4i4i4i−4i0-22i3−2i3-2220000000000002i−2i−2i2i0002i3−2i300000000000000000000023−230000000000000000000000000000
χ854-4-444-2004-4-4-4224-24-44-40-20022-2-2200004-44-400-22-22000000000-220000000-22000000000000000000000000000000000000
χ864-4-444-2004-4-4-4224-2-44-440-20022-2-2200004-4-44002-22-2000000000-2200000002-2000000000000000000000000000000000000
χ874-4-444-200-44-4-4224-24-44-40-20022-22-20000-44-4400-22-220000000002-200000002-2000000000000000000000000000000000000
χ884-4-444-200-44-4-4224-2-44-440-20022-22-20000-444-4002-22-20000000002-20000000-22000000000000000000000000000000000000
χ894-4-44-24004-422-4-4-2400000-20022-24-40000-2200000000000000000-22000004-4000000000000000000000000-22000000000000
χ904-4-44-24004-422-4-4-2400000-20022-24-40000-2200000000000000000-2200000-440000000000000000000000002-2000000000000
χ914-4-44-2400-4422-4-4-2400000-20022-2-4400002-2000000000000000002-2004-4000000000000000000000-22000000000000000000
χ924-4-44-2400-4422-4-4-2400000-20022-2-4400002-2000000000000000002-200-440000000000000000000002-2000000000000000000
χ9388-8-8-4-48i−8i004-4-444400000200-22-200−4i4i−4i4i0000000000000000000002i−2i0000000000000000000000000000000000000000000
χ9488-8-8-4-4−8i8i004-4-444400000200-22-2004i−4i4i−4i000000000000000000000−2i2i0000000000000000000000000000000000000000000
χ958-88-8-480000-44-884-800000-400-444000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-40000-444-444000002−4i34i32-2-200000000000000000002i3−2i3000000000000000000000000000000000000000000000000000
χ978-88-8-4-40000-444-4440000024i3−4i32-2-20000000000000000000−2i32i3000000000000000000000000000000000000000000000000000
χ988-8-88-4-4008-84444-4-400000200-2-22-440000-44000000000000000002-2000000000000000000000000000000000000000000000
χ998-8-88-4-400-884444-4-400000200-2-224-400004-400000000000000000-22000000000000000000000000000000000000000000000

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