Finite Group Databasebeta

← Group #11870664

Character table — Group #11870664

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order12223344446666662344446661212121212121212121212126666121212121212121212121212121212121212444488888888444424442424242424242424224446121212
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
χ5111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-11-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-11111
χ7111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1-111
χ8111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-11111-1-1
χ9111111-1-111111111-1111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-1111111-1-111-1-111-1-11-11-111-1-111-1-111-1-1-11-11-1
χ10111111-1-111111111-1111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-111-1-11111-1-1-11-11-1-111-1-11111-1-1-1-11-11
χ11111111-1-111111111-1111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-1111-1-1-1-111-1-11111-1-11
χ12111111-1-111111111-1111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-111-1-1-11111-1-1-1-1111-111-1
χ13111111-1-111111111-11-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111111111-1-111-1-111-1-1-11-1111-1-111-1-1-1-1-111-11-11
χ14111111-1-111111111-11-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-111-1-11111-1-11-11-1-1-111-1-111-1-1-1111-11-1
χ15111111-1-111111111-11-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-111-111-1-1-1-111111-1-1-111-1
χ16111111-1-111111111-11-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-1-11-1-11111-1-1111-1-11-1-11
χ1722222222-2-2222222-22000022222222222-2-2-2-2-2-2-2-200000000-2-200000000222200000000-2-22200000000000000-2000000
χ1822222222-2-2222222-22000022222222222-2-2-2-2-2-2-2-200000000-2-200000000-2-2-2-20000000022-2-2000000000000002000000
χ19222222-2-2-2-2222222220000222-2-2-2-2-2-2-2-2-2-2-2-2222200000000-2-200000000222200000000-2-2-2-2000000000000002000000
χ20222222-2-2-2-2222222220000222-2-2-2-2-2-2-2-2-2-2-2-2222200000000-2-200000000-2-2-2-200000000222200000000000000-2000000
χ2122222-122222-1-122-12-12222-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100002222000000002200-1-1-1-1000000000-1-100
χ2222222-122222-1-122-12-12222-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000-2-20011110000000001100
χ2322222-122222-1-122-12-1-2-2-2-2-1-1-1-1-122-1-1-1-1-1-1222-1-1-111-2-2-2-211-1-1111111110000222200000000-2-200-1-1-1-10000000001100
χ2422222-122222-1-122-12-1-2-2-2-2-1-1-1-1-122-1-1-1-1-1-1222-1-1-111-2-2-2-211-1-1111111110000-2-2-2-20000000022001111000000000-1-100
χ2522222-1-2-2222-1-122-1-2-122-2-2-1-1-111-2-21111-1-122-2111-1-1-2-22211-1-1-1-1-1-11111000022-2-2000000002-200-1-111000000000-1100
χ2622222-1-2-2222-1-122-1-2-122-2-2-1-1-111-2-21111-1-122-2111-1-1-2-22211-1-1-1-1-1-111110000-2-22200000000-220011-1-10000000001-100
χ2722222-1-2-2222-1-122-1-2-1-2-222-1-1-111-2-21111-1-122-21111122-2-2-1-1-1-11111-1-1-1-1000022-2-200000000-2200-1-1110000000001-100
χ2822222-1-2-2222-1-122-1-2-1-2-222-1-1-111-2-21111-1-122-21111122-2-2-1-1-1-11111-1-1-1-10000-2-222000000002-20011-1-1000000000-1100
χ292222-122222-122-1-122-12222-1-1-122-1-1-1-1-1-122-1-1-12-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1000000002222000000220000-1-1-1-10000000-1-1
χ302222-122222-122-1-122-12222-1-1-122-1-1-1-1-1-122-1-1-12-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000-2-200001111000000011
χ312222-122222-122-1-122-1-2-2-2-2-1-1-122-1-1-1-1-1-122-1-1-12-1-1-2-21111-2-2-1-111111111000000002222000000-2-20000-1-1-1-1000000011
χ322222-122222-122-1-122-1-2-2-2-2-1-1-122-1-1-1-1-1-122-1-1-12-1-1-2-21111-2-2-1-11111111100000000-2-2-2-200000022000011110000000-1-1
χ332222-12-2-222-122-1-12-2-122-2-2-1-1-1-2-211111122-1-11-2112211-1-1-2-2-1-1-1-1-1-111110000000022-2-20000002-20000-1-1110000000-11
χ342222-12-2-222-122-1-12-2-122-2-2-1-1-1-2-211111122-1-11-2112211-1-1-2-2-1-1-1-1-1-1111100000000-2-222000000-22000011-1-100000001-1
χ352222-12-2-222-122-1-12-2-1-2-222-1-1-1-2-211111122-1-11-211-2-2-1-11122-1-11111-1-1-1-10000000022-2-2000000-220000-1-11100000001-1
χ362222-12-2-222-122-1-12-2-1-2-222-1-1-1-2-211111122-1-11-211-2-2-1-11122-1-11111-1-1-1-100000000-2-2220000002-2000011-1-10000000-11
χ3722-2-222002-2-22-22-2-202002i−2i2-2-2000000002-22-20000002i−2i002i−2i2-200002i2i−2i−2i2i2i−2i−2i000000002i−2i000000000000000002-20000
χ3822-2-222002-2-22-22-2-202002i−2i2-2-2000000002-22-20000002i−2i002i−2i2-200002i2i−2i−2i−2i−2i2i2i00000000−2i2i00000000000000000-220000
χ3922-2-222002-2-22-22-2-20200−2i2i2-2-2000000002-22-2000000−2i2i00−2i2i2-20000−2i−2i2i2i2i2i−2i−2i000000002i−2i00000000000000000-220000
χ4022-2-222002-2-22-22-2-20200−2i2i2-2-2000000002-22-2000000−2i2i00−2i2i2-20000−2i−2i2i2i−2i−2i2i2i00000000−2i2i000000000000000002-20000
χ4122-2-22200-22-22-22-2-2022i−2i002-2-200000000-22-2200002i−2i002i−2i00-222i2i−2i−2i00002i2i−2i−2i00000000−2i2i000000000000002-20000000
χ4222-2-22200-22-22-22-2-2022i−2i002-2-200000000-22-2200002i−2i002i−2i00-222i2i−2i−2i0000−2i−2i2i2i000000002i−2i00000000000000-220000000
χ4322-2-22200-22-22-22-2-202−2i2i002-2-200000000-22-220000−2i2i00−2i2i00-22−2i−2i2i2i00002i2i−2i−2i00000000−2i2i00000000000000-220000000
χ4422-2-22200-22-22-22-2-202−2i2i002-2-200000000-22-220000−2i2i00−2i2i00-22−2i−2i2i2i0000−2i−2i2i2i000000002i−2i000000000000002-20000000
χ452-22-2222i−2i00-2-22-22-2020000-22-22i−2i2i−2i2i2i−2i−2i000000000000000000000000002-22-22−2i2−i22−2i2−i2002i−2i00002−2i2−i22−2i2−i2000000000
χ462-22-2222i−2i00-2-22-22-2020000-22-22i−2i2i−2i2i2i−2i−2i000000000000000000000000002-22-2−22−i2i2−22−i2i2002i−2i0000−22−i2i2−22−i2i2000000000
χ472-22-2222i−2i00-2-22-22-2020000-22-22i−2i2i−2i2i2i−2i−2i00000000000000000000000000-22-222−2i2−i2−22−i2i200−2i2i00002−2i2−i2−22−i2i2000000000
χ482-22-2222i−2i00-2-22-22-2020000-22-22i−2i2i−2i2i2i−2i−2i00000000000000000000000000-22-22−22−i2i22−2i2−i200−2i2i0000−22−i2i22−2i2−i2000000000
χ492-22-222−2i2i00-2-22-22-2020000-22-2−2i2i−2i2i−2i−2i2i2i000000000000000000000000002-22-22−2−i2i22−2−i2i200−2i2i00002−2−i2i22−2−i2i2000000000
χ502-22-222−2i2i00-2-22-22-2020000-22-2−2i2i−2i2i−2i−2i2i2i000000000000000000000000002-22-2−22i2−i2−22i2−i200−2i2i0000−22i2−i2−22i2−i2000000000
χ512-22-222−2i2i00-2-22-22-2020000-22-2−2i2i−2i2i−2i−2i2i2i00000000000000000000000000-22-222−2−i2i2−22i2−i2002i−2i00002−2−i2i2−22i2−i2000000000
χ522-22-222−2i2i00-2-22-22-2020000-22-2−2i2i−2i2i−2i−2i2i2i00000000000000000000000000-22-22−22i2−i22−2−i2i2002i−2i0000−22i2−i22−2−i2i2000000000
χ5344444-244-4-44-2-244-2-4-20000-2-2-2-2-244-2-2-2-222-4-4-42220000000022000000000000000000000000000000000000000000000
χ5444444-2-4-4-4-44-2-244-24-20000-2-2-222-4-4222222-4-44-2-2-20000000022000000000000000000000000000000000000000000000
χ554444-2444-4-4-244-2-24-4-20000-2-2-244-2-2-2-2-2-2-4-4222-4220000000022000000000000000000000000000000000000000000000
χ564444-24-4-4-4-4-244-2-244-20000-2-2-2-4-4222222-4-422-24-2-20000000022000000000000000000000000000000000000000000000
χ574444-2-24444-2-2-2-2-2-2414444111-2-2-2-21111-2-2-2-2-2-211-2-2-2-2-2-2-2-211111111110000000000000000000000000000000000000
χ584444-2-24444-2-2-2-2-2-241-4-4-4-4111-2-2-2-21111-2-2-2-2-2-2112222222211-1-1-1-1-1-1-1-10000000000000000000000000000000000000
χ594444-2-244-4-4-2-2-2-2-2-2-410000111-2-2-2-21111222222-1-100000000-1-13-33-33-33-30000000000000000000000000000000000000
χ604444-2-244-4-4-2-2-2-2-2-2-410000111-2-2-2-21111222222-1-100000000-1-1-33-33-33-330000000000000000000000000000000000000
χ614444-2-2-4-444-2-2-2-2-2-2-4144-4-41112222-1-1-1-1-2-2-2-222-1-1-2-222-2-222111111-1-1-1-10000000000000000000000000000000000000
χ624444-2-2-4-444-2-2-2-2-2-2-41-4-4441112222-1-1-1-1-2-2-2-222-1-122-2-222-2-211-1-1-1-111110000000000000000000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-24100001112222-1-1-1-12222-2-21100000000-1-13-33-3-33-330000000000000000000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-24100001112222-1-1-1-12222-2-21100000000-1-1-33-333-33-30000000000000000000000000000000000000
χ6544-4-44-2004-4-4-224-420-2004i−4i-22200000000-224-40000004i−4i00−2i2i-220000−2i−2i2i2i0000000000000000000000000000000000000
χ6644-4-44-2004-4-4-224-420-200−4i4i-22200000000-224-4000000−4i4i002i−2i-2200002i2i−2i−2i0000000000000000000000000000000000000
χ6744-4-44-200-44-4-224-420-24i−4i00-222000000002-2-440000−2i2i004i−4i002-2−2i−2i2i2i00000000000000000000000000000000000000000
χ6844-4-44-200-44-4-224-420-2−4i4i00-222000000002-2-4400002i−2i00−4i4i002-22i2i−2i−2i00000000000000000000000000000000000000000
χ6944-4-4-24004-424-4-22-40-2004i−4i-222000000004-4-22000000−2i2i004i−4i-220000−2i−2i2i2i0000000000000000000000000000000000000
χ7044-4-4-24004-424-4-22-40-200−4i4i-222000000004-4-220000002i−2i00−4i4i-2200002i2i−2i−2i0000000000000000000000000000000000000
χ7144-4-4-2400-4424-4-22-40-24i−4i00-22200000000-442-200004i−4i00−2i2i002-2−2i−2i2i2i00000000000000000000000000000000000000000
χ7244-4-4-2400-4424-4-22-40-2−4i4i00-22200000000-442-20000−4i4i002i−2i002-22i2i−2i−2i00000000000000000000000000000000000000000
χ7344-4-4-2-2004-42-22-22201004i−4i1-1-100003-33-3-22-22003-300−2i2i00−2i2i1-13i−3i−3i3iii−i−i0000000000000000000000000000000000000
χ7444-4-4-2-2004-42-22-22201004i−4i1-1-10000-33-33-22-2200-3300−2i2i00−2i2i1-1−3i3i3i−3iii−i−i0000000000000000000000000000000000000
χ7544-4-4-2-2004-42-22-2220100−4i4i1-1-100003-33-3-22-22003-3002i−2i002i−2i1-1−3i3i3i−3i−i−iii0000000000000000000000000000000000000
χ7644-4-4-2-2004-42-22-2220100−4i4i1-1-10000-33-33-22-2200-33002i−2i002i−2i1-13i−3i−3i3i−i−iii0000000000000000000000000000000000000
χ7744-4-4-2-200-442-22-222014i−4i001-1-100003-33-32-22-200-33−2i2i00−2i2i00-11ii−i−i3i−3i−3i3i0000000000000000000000000000000000000
χ7844-4-4-2-200-442-22-222014i−4i001-1-10000-33-332-22-2003-3−2i2i00−2i2i00-11ii−i−i−3i3i3i−3i0000000000000000000000000000000000000
χ7944-4-4-2-200-442-22-22201−4i4i001-1-100003-33-32-22-200-332i−2i002i−2i00-11−i−iii−3i3i3i−3i0000000000000000000000000000000000000
χ8044-4-4-2-200-442-22-22201−4i4i001-1-10000-33-332-22-2003-32i−2i002i−2i00-11−i−iii3i−3i−3i3i0000000000000000000000000000000000000
χ814-44-44-24i−4i00-42-2-4420-200002-22−2i2i4i−4i−2i−2i2i2i00000000000000000000000000000022−222i2−2i2000000000000−22−i2i20000000000000
χ824-44-44-24i−4i00-42-2-4420-200002-22−2i2i4i−4i−2i−2i2i2i000000000000000000000000000000−2222−2i22i20000000000002−2i2−i20000000000000
χ834-44-44-2−4i4i00-42-2-4420-200002-222i−2i−4i4i2i2i−2i−2i00000000000000000000000000000022−22−2i22i2000000000000−22i2−i20000000000000
χ844-44-44-2−4i4i00-42-2-4420-200002-222i−2i−4i4i2i2i−2i−2i000000000000000000000000000000−22222i2−2i20000000000002−2−i2i20000000000000
χ854-44-4-244i−4i002-442-2-40-200002-224i−4i−2i2i−2i−2i2i2i000000000000000000000000000000000022−222i2−2i2000000000000−22−i2i2000000000
χ864-44-4-244i−4i002-442-2-40-200002-224i−4i−2i2i−2i−2i2i2i0000000000000000000000000000000000−2222−2i22i20000000000002−2i2−i2000000000
χ874-44-4-24−4i4i002-442-2-40-200002-22−4i4i2i−2i2i2i−2i−2i000000000000000000000000000000000022−22−2i22i2000000000000−22i2−i2000000000
χ884-44-4-24−4i4i002-442-2-40-200002-22−4i4i2i−2i2i2i−2i−2i0000000000000000000000000000000000−22222i2−2i20000000000002−2−i2i2000000000
χ894-4-444400004-4-4-4-44040000-4-4400000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000
χ904-4-444400004-4-4-4-44040000-4-440000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000
χ918-88-8-4-48i−8i0044-44-44020000-22-2−4i4i−4i4i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-4−8i8i0044-44-44020000-22-24i−4i4i−4i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000
χ938-8-888-40000844-8-8-40-4000044-400000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-88-480000-4-8-84480-4000044-400000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-40000-44444-4020000-2-2200006i−6i−6i6i000000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-40000-44444-4020000-2-220000−6i6i6i−6i000000000000000000000000000000000000000000000000000000000000000

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