Finite Group Databasebeta

← Group #11870440

Character table — Group #11870440

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order122233444466666622344466612121212121212121212121266666666121212121212121212121212121244448888888822442244242424242424242422444661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111
χ51111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111111111-1-11-1-1-1-1-1-1
χ61111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-11111
χ71111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1-111
χ81111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-11111-1-1
χ9111111-1-111111111111-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1111-11-111-1-111-1-1-1-1-1111-11-1
χ10111111-1-111111111111-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-111-11-11-1-111-1-111-1-1-111-11-11
χ11111111-1-111111111111-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1-1111-1-1-1-111111-1-11-1-11
χ12111111-1-111111111111-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-111-1-1-11111-1-1111-1-1-111-1
χ13111111-1-111111111-1-11-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111111111-1-111-1-1-1-111-11-1111-1-111-1-111-1-1-1-11-11
χ14111111-1-111111111-1-11-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-111-1-111-1-1111-11-1-1-111-1-11111-1-1-11-11-1
χ15111111-1-111111111-1-11-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-11111-1-1-111-111-1-1-1-111-1-1111-111-1
χ16111111-1-111111111-1-11-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-111-1-11-1-11-1-11111-1-1-1-11111-1-11
χ1722222222-2-2222222002-200222-2-222222222-2-200000000-2-20000-2-2-2-2000022220000000022-2-200000000000000-2000000
χ1822222222-2-2222222002-200222-2-222222222-2-200000000-2-20000-2-2-2-20000-2-2-2-200000000-2-222000000000000002000000
χ19222222-2-2-2-2222222002200222-2-2-2-2-2-2-2-2-2-2-2-200000000220000-2-2220000222200000000-2-2-2-2000000000000002000000
χ20222222-2-2-2-2222222002200222-2-2-2-2-2-2-2-2-2-2-2-200000000220000-2-2220000-2-2-2-200000000222200000000000000-2000000
χ2122222-1222222-1-1-1222-1222-1-1-12-1-1-122-1-1-1-12-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-1-100002222000000002200-1-1-1-1000000000-1-100
χ2222222-1222222-1-1-1222-1222-1-1-12-1-1-122-1-1-1-12-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-200000000-2-20011110000000001100
χ2322222-1222222-1-1-12-2-2-12-2-2-1-1-12-1-1-122-1-1-1-12-1-2-21111112-111-2-2-1-1-1-111110000222200000000-2-200-1-1-1-10000000001100
χ2422222-1222222-1-1-12-2-2-12-2-2-1-1-12-1-1-122-1-1-1-12-1-2-21111112-111-2-2-1-1-1-111110000-2-2-2-20000000022001111000000000-1-100
χ2522222-1-2-22222-1-1-1222-1-2-2-2-1-1-12-111-2-211112-122-1-1-1-1-1-1-2111-2-2-1-1111111000022-2-2000000002-200-1-111000000000-1100
χ2622222-1-2-22222-1-1-1222-1-2-2-2-1-1-12-111-2-211112-122-1-1-1-1-1-1-2111-2-2-1-11111110000-2-22200000000-220011-1-10000000001-100
χ2722222-1-2-22222-1-1-12-2-2-1-222-1-1-12-111-2-211112-1-2-2111111-21-1-122-1-111-1-1-1-1000022-2-200000000-2200-1-1110000000001-100
χ2822222-1-2-22222-1-1-12-2-2-1-222-1-1-12-111-2-211112-1-2-2111111-21-1-122-1-111-1-1-1-10000-2-222000000002-20011-1-1000000000-1100
χ292222-122222-1-1222-122-1222-1-1-1-1222-1-1-1-1-1-1-12-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1000000002222000000220000-1-1-1-10000000-1-1
χ302222-122222-1-1222-122-1222-1-1-1-1222-1-1-1-1-1-1-12-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000-2-200001111000000011
χ312222-122222-1-1222-1-2-2-12-2-2-1-1-1-1222-1-1-1-1-1-1-1211-2-21111-12-2-211-1-1-1-11111000000002222000000-2-20000-1-1-1-1000000011
χ322222-122222-1-1222-1-2-2-12-2-2-1-1-1-1222-1-1-1-1-1-1-1211-2-21111-12-2-211-1-1-1-1111100000000-2-2-2-200000022000011110000000-1-1
χ332222-12-2-222-1-1222-122-1-2-2-2-1-1-1-12-2-2111111-12-1-122-1-1-1-11-2-2-211-1-11111110000000022-2-20000002-20000-1-1110000000-11
χ342222-12-2-222-1-1222-122-1-2-2-2-1-1-1-12-2-2111111-12-1-122-1-1-1-11-2-2-211-1-111111100000000-2-222000000-22000011-1-100000001-1
χ352222-12-2-222-1-1222-1-2-2-1-222-1-1-1-12-2-2111111-1211-2-211111-222-1-1-1-111-1-1-1-10000000022-2-2000000-220000-1-11100000001-1
χ362222-12-2-222-1-1222-1-2-2-1-222-1-1-1-12-2-2111111-1211-2-211111-222-1-1-1-111-1-1-1-100000000-2-2220000002-2000011-1-10000000-11
χ3722-2-222002-22-22-2-2-200202i−2i2-2-2-22000000002-200000000002i−2i2i−2i2-2002i2i−2i−2i2i2i−2i−2i00000000002i−2i0000000000002-20000000
χ3822-2-222002-22-22-2-2-200202i−2i2-2-2-22000000002-200000000002i−2i2i−2i2-2002i2i−2i−2i−2i−2i2i2i0000000000−2i2i000000000000-220000000
χ3922-2-222002-22-22-2-2-20020−2i2i2-2-2-22000000002-20000000000−2i2i−2i2i2-200−2i−2i2i2i2i2i−2i−2i00000000002i−2i000000000000-220000000
χ4022-2-222002-22-22-2-2-20020−2i2i2-2-2-22000000002-20000000000−2i2i−2i2i2-200−2i−2i2i2i−2i−2i2i2i0000000000−2i2i0000000000002-20000000
χ4122-2-22200-222-22-2-2-22-220002-2-22-200000000-222-22-222-2-2000000-220000002i2i−2i−2i0000000000−2i2i0000000000000002i−2i0000
χ4222-2-22200-222-22-2-2-22-220002-2-22-200000000-222-22-222-2-2000000-22000000−2i−2i2i2i00000000002i−2i000000000000000−2i2i0000
χ4322-2-22200-222-22-2-2-2-2220002-2-22-200000000-22-22-22-2-222000000-220000002i2i−2i−2i0000000000−2i2i000000000000000−2i2i0000
χ4422-2-22200-222-22-2-2-2-2220002-2-22-200000000-22-22-22-2-222000000-22000000−2i−2i2i2i00000000002i−2i0000000000000002i−2i0000
χ452-2-22222-200-2-2-2-222002000-2-22002-22-222-2-20000000000000000000000002-22-22−22−22−22−22-20000002−22−22−22−2000000000
χ462-2-22222-200-2-2-2-222002000-2-22002-22-222-2-20000000000000000000000002-22-2−22−22−22−222-2000000−22−22−22−22000000000
χ472-2-22222-200-2-2-2-222002000-2-22002-22-222-2-2000000000000000000000000-22-222−22−2−22−22-220000002−22−2−22−22000000000
χ482-2-22222-200-2-2-2-222002000-2-22002-22-222-2-2000000000000000000000000-22-22−22−222−22−2-22000000−22−222−22−2000000000
χ492-2-2222-2200-2-2-2-222002000-2-2200-22-22-2-2220000000000000000000000002-22-22−2−222−2−22-220000002−2−222−2−22000000000
χ502-2-2222-2200-2-2-2-222002000-2-2200-22-22-2-2220000000000000000000000002-22-2−222−2−222−2-22000000−222−2−222−2000000000
χ512-2-2222-2200-2-2-2-222002000-2-2200-22-22-2-222000000000000000000000000-22-222−2−22−222−22-20000002−2−22−222−2000000000
χ522-2-2222-2200-2-2-2-222002000-2-2200-22-22-2-222000000000000000000000000-22-22−222−22−2−222-2000000−222−22−2−22000000000
χ5344444-244-4-444-2-2-2400-2-400-2-2-2-42-2-244-2-2-2-2-4200000000-420000222200000000000000000000000000000000000000000
χ5444444-2-4-4-4-444-2-2-2400-2400-2-2-2-4222-4-42222-42000000004-2000022-2-200000000000000000000000000000000000000000
χ554444-2444-4-4-2-2444-200-2-400-2-2-22-444-2-2-2-2-2-22-4000000002-40000222200000000000000000000000000000000000000000
χ564444-24-4-4-4-4-2-2444-200-2400-2-2-22-4-4-42222222-400000000-24000022-2-200000000000000000000000000000000000000000
χ574444-2-24444-2-2-2-2-2-2441444111-2-2-2-2-2-21111-2-2-2-2-2-21111-2-2-2-2-2-2111111110000000000000000000000000000000000000
χ584444-2-24444-2-2-2-2-2-2-4-414-4-4111-2-2-2-2-2-21111-2-22222-1-1-1-1-2-222221111-1-1-1-10000000000000000000000000000000000000
χ594444-2-244-4-4-2-2-2-2-2-2001-40011122-2-2-2-211112200003-33-3220000-1-1-1-13-33-30000000000000000000000000000000000000
χ604444-2-244-4-4-2-2-2-2-2-2001-40011122-2-2-2-21111220000-33-33220000-1-1-1-1-33-330000000000000000000000000000000000000
χ614444-2-2-4-444-2-2-2-2-2-2441-4-4-4111-2-22222-1-1-1-1-2-2-2-2-2-2111122222211-1-1-1-1-1-10000000000000000000000000000000000000
χ624444-2-2-4-444-2-2-2-2-2-2-4-41-444111-2-22222-1-1-1-1-2-22222-1-1-1-122-2-2-2-211-1-111110000000000000000000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-2001400111222222-1-1-1-12200003-33-3-2-20000-1-111-33-330000000000000000000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-2001400111222222-1-1-1-1220000-33-33-2-20000-1-1113-33-30000000000000000000000000000000000000
χ6544-4-44-2004-44-4-222-400-204i−4i-222-4-200000000420000000000−2i2i4i−4i-2200−2i−2i2i2i0000000000000000000000000000000000000
χ6644-4-44-2004-44-4-222-400-20−4i4i-222-4-2000000004200000000002i−2i−4i4i-22002i2i−2i−2i0000000000000000000000000000000000000
χ6744-4-44-200-444-4-222-44-4-2000-2224200000000-4-24-4-22-2-2220000002-20000000000000000000000000000000000000000000
χ6844-4-44-200-444-4-222-4-44-2000-2224200000000-4-2-442-222-2-20000002-20000000000000000000000000000000000000000000
χ6944-4-4-24004-4-224-4-4200-204i−4i-2222400000000-2-400000000004i−4i−2i2i-2200−2i−2i2i2i0000000000000000000000000000000000000
χ7044-4-4-24004-4-224-4-4200-20−4i4i-2222400000000-2-40000000000−4i4i2i−2i-22002i2i−2i−2i0000000000000000000000000000000000000
χ7144-4-4-2400-44-224-4-424-4-2000-222-2-40000000024-224-4-2-2220000002-20000000000000000000000000000000000000000000
χ7244-4-4-2400-44-224-4-42-44-2000-222-2-400000000242-2-4422-2-20000002-20000000000000000000000000000000000000000000
χ7344-4-4-2-2004-4-22-222200104i−4i1-1-12-200003i−3i3i−3i-2200003-3-3300−2i2i−2i2i1-13i−3iii−i−i0000000000000000000000000000000000000
χ7444-4-4-2-2004-4-22-222200104i−4i1-1-12-20000−3i3i−3i3i-220000-333-300−2i2i−2i2i1-1−3i3iii−i−i0000000000000000000000000000000000000
χ7544-4-4-2-2004-4-22-22220010−4i4i1-1-12-200003i−3i3i−3i-220000-333-3002i−2i2i−2i1-13i−3i−i−iii0000000000000000000000000000000000000
χ7644-4-4-2-2004-4-22-22220010−4i4i1-1-12-20000−3i3i−3i3i-2200003-3-33002i−2i2i−2i1-1−3i3i−i−iii0000000000000000000000000000000000000
χ7744-4-4-2-200-44-22-22224-410001-1-1-2200003i−3i3i−3i2-2-22-2211-1-1000000-11−3i3i3i−3i−3i3i0000000000000000000000000000000000000
χ7844-4-4-2-200-44-22-22224-410001-1-1-220000−3i3i−3i3i2-2-22-2211-1-1000000-113i−3i−3i3i3i−3i0000000000000000000000000000000000000
χ7944-4-4-2-200-44-22-2222-4410001-1-1-2200003i−3i3i−3i2-22-22-2-1-111000000-11−3i3i−3i3i3i−3i0000000000000000000000000000000000000
χ8044-4-4-2-200-44-22-2222-4410001-1-1-220000−3i3i−3i3i2-22-22-2-1-111000000-113i−3i3i−3i−3i3i0000000000000000000000000000000000000
χ814-44-4440000-44-44-4-4004000-44-400000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000
χ824-44-4440000-44-44-4-4004000-44-40000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000
χ834-4-444-24-400-4-422-2400-200022-200-224-4-2-222000000000000000000000000000022−2222−22000000000000−22−220000000000000
χ844-4-444-24-400-4-422-2400-200022-200-224-4-2-2220000000000000000000000000000−2222−22220000000000002−22−20000000000000
χ854-4-444-2-4400-4-422-2400-200022-2002-2-4422-2-2000000000000000000000000000022−22−2222000000000000−222−20000000000000
χ864-4-444-2-4400-4-422-2400-200022-2002-2-4422-2-20000000000000000000000000000−222222−220000000000002−2−220000000000000
χ874-4-44-244-40022-4-44-200-200022-2004-4-22-2-2220000000000000000000000000000000022−2222−22000000000000−22−22000000000
χ884-4-44-244-40022-4-44-200-200022-2004-4-22-2-22200000000000000000000000000000000−2222−22220000000000002−22−2000000000
χ894-4-44-24-440022-4-44-200-200022-200-442-222-2-20000000000000000000000000000000022−22−2222000000000000−222−2000000000
χ904-4-44-24-440022-4-44-200-200022-200-442-222-2-200000000000000000000000000000000−222222−220000000000002−2−22000000000
χ918-88-88-40000-884-44-800-40004-4400000000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4800004-4-88-8400-40004-4400000000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-400004-44-444002000-22-20000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ948-88-8-4-400004-44-444002000-22-2000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-48-8004444-4-4002000-2-2200-44-4422-2-20000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-4-88004444-4-4002000-2-22004-44-4-2-2220000000000000000000000000000000000000000000000000000000000000

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