Finite Group Databasebeta

← Group #11863904

Character table — Group #11863904

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order1222334444666666236668888121212121212121212121212666612122424242424242424242424242424242444442222444422222444666612121212488886121212
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
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111
χ5111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111
χ7111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-11111-1-111
χ8111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-111-1111111-1-1
χ9111111-1-111111111-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11-1-11-1-111-1-111-111-1-11-1-11
χ10111111-1-111111111-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-111-111-1-111-1-1-111-1-1-111-1
χ11111111-1-111111111-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-11-11111-1-1-1-11-1-1111-11-1
χ12111111-1-111111111-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-11-1-1-1-111111-1-111-11-11
χ13111111-1-111111111-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-111-1-1-111-1-111-1-1-111-111-1
χ14111111-1-111111111-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-111-1-11-1-1111-1-111-1-1-1-1-1111-1-11
χ15111111-1-111111111-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-11-111111-1-1-1-1111-1-1-11-11
χ16111111-1-111111111-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111-11-1-1-1-1-11111111-1-11-11-1
χ1722222222-2-2222222-2222200002222-2-2-2-2-2-2-2-2-2-2-2-2220000000000000000222200000000-2-222000000000000-200000000
χ1822222222-2-2222222-2222200002222-2-2-2-2-2-2-2-2-2-2-2-2220000000000000000-2-2-2-20000000022-2-2000000000000200000000
χ19222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-22222-2-20000000000000000222200000000-2-2-2-2000000000000200000000
χ20222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-22222-2-20000000000000000-2-2-2-2000000002222000000000000-200000000
χ2122222-122222-12-1-122-1-1-1-12222-1-122-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000220022000000220000-1-1-1-10000000-1-100
χ2222222-122222-12-1-122-1-1-1-12222-1-122-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-200-2-2000000-2-20000111100000001100
χ2322222-122222-12-1-122-1-1-1-1-2-2-2-2-1-122-1-122-1-1-1-12-1-1-1-1-1-2-2111111-2-21111110000220022000000-2-20000-1-1-1-100000001100
χ2422222-122222-12-1-122-1-1-1-1-2-2-2-2-1-122-1-122-1-1-1-12-1-1-1-1-1-2-2111111-2-21111110000-2-200-2-200000022000011110000000-1-100
χ2522222-1-2-2222-12-1-12-2-1-1-1-122-2-211-2-2-1-122-1-1-1-1-21111122-1-1-1-1-1-1-2-211111100002200-2-20000002-20000-1-1110000000-1100
χ2622222-1-2-2222-12-1-12-2-1-1-1-122-2-211-2-2-1-122-1-1-1-1-21111122-1-1-1-1-1-1-2-21111110000-2-20022000000-22000011-1-100000001-100
χ2722222-1-2-2222-12-1-12-2-1-1-1-1-2-22211-2-2-1-122-1-1-1-1-211111-2-211111122-1-1-1-1-1-100002200-2-2000000-220000-1-11100000001-100
χ2822222-1-2-2222-12-1-12-2-1-1-1-1-2-22211-2-2-1-122-1-1-1-1-211111-2-211111122-1-1-1-1-1-10000-2-200220000002-2000011-1-10000000-1100
χ292222-122222-12-122-12-1-1-1-1222222-1-122-1-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000022002200000022-1-10000-1-10000000-1-1
χ302222-122222-12-122-12-1-1-1-1222222-1-122-1-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000-2-200-2-2000000-2-211000011000000011
χ312222-122222-12-122-12-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-1-12-1-1-1-111-2-2111111-2-21111000000220022000000-2-2-1-10000-1-1000000011
χ322222-122222-12-122-12-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-1-12-1-1-1-111-2-2111111-2-21111000000-2-200-2-200000022110000110000000-1-1
χ332222-12-2-222-12-122-1-2-1-1-1-122-2-2-2-21122-1-1-1-1-1-11-21111-1-122-1-1-1-111-2-211110000002200-2-20000002-2-1-10000110000000-11
χ342222-12-2-222-12-122-1-2-1-1-1-122-2-2-2-21122-1-1-1-1-1-11-21111-1-122-1-1-1-111-2-21111000000-2-20022000000-22110000-1-100000001-1
χ352222-12-2-222-12-122-1-2-1-1-1-1-2-222-2-21122-1-1-1-1-1-11-2111111-2-21111-1-122-1-1-1-10000002200-2-2000000-22-1-100001100000001-1
χ362222-12-2-222-12-122-1-2-1-1-1-1-2-222-2-21122-1-1-1-1-1-11-2111111-2-21111-1-122-1-1-1-1000000-2-200220000002-2110000-1-10000000-11
χ3722-2-2222i−2i00-222-2-2-2022-2-22−2i2−i22i−2i2i−2i0000000000002i−2i2−22−222−2−2i2−i2i2−i2i2i2−i2−i22i2i−2i−2i00000000002-20000000000000i2−i22−20000
χ3822-2-2222i−2i00-222-2-2-2022-2-22−2i2−i22i−2i2i−2i0000000000002i−2i2−22−222−2−2i2−i2i2−i2i2i2−i2−i2−2i−2i2i2i0000000000-220000000000000−i2i2−220000
χ3922-2-2222i−2i00-222-2-2-2022-2-2−22−i2i22i−2i2i−2i0000000000002i−2i−22−22−2−222−i2i2−i2i2−i2−i2i2i22i2i−2i−2i00000000002-20000000000000−i2i2−220000
χ4022-2-2222i−2i00-222-2-2-2022-2-2−22−i2i22i−2i2i−2i0000000000002i−2i−22−22−2−222−i2i2−i2i2−i2−i2i2i2−2i−2i2i2i0000000000-220000000000000i2−i22−20000
χ4122-2-222−2i2i00-222-2-2-2022-2-22−2−i2i2−2i2i−2i2i000000000000−2i2i2−22−222−2−2−i2i2−i2i2−i2−i2i2i22i2i−2i−2i0000000000-220000000000000i2−i2−220000
χ4222-2-222−2i2i00-222-2-2-2022-2-22−2−i2i2−2i2i−2i2i000000000000−2i2i2−22−222−2−2−i2i2−i2i2−i2−i2i2i2−2i−2i2i2i00000000002-20000000000000−i2i22−20000
χ4322-2-222−2i2i00-222-2-2-2022-2-2−22i2−i2−2i2i−2i2i000000000000−2i2i−22−22−2−222i2−i2i2−i2i2i2−i2−i22i2i−2i−2i0000000000-220000000000000−i2i22−20000
χ4422-2-222−2i2i00-222-2-2-2022-2-2−22i2−i2−2i2i−2i2i000000000000−2i2i−22−22−2−222i2−i2i2−i2i2i2−i2−i2−2i−2i2i2i00000000002-20000000000000i2−i2−220000
χ452-2-2222002-2-2-2-2-22202-2-22000000002-22-222-2-200000000000000000000002-22-22-200002-22-2000000002-2002-2000000000
χ462-2-2222002-2-2-2-2-22202-2-22000000002-22-222-2-200000000000000000000002-22-2-220000-222-200000000-2200-22000000000
χ472-2-2222002-2-2-2-2-22202-2-22000000002-22-222-2-20000000000000000000000-22-222-20000-22-22000000002-200-22000000000
χ482-2-2222002-2-2-2-2-22202-2-22000000002-22-222-2-20000000000000000000000-22-22-2200002-2-2200000000-22002-2000000000
χ492-2-222200-22-2-2-2-22202-2-2200000000-22-22-2-22200000000000000000000002-22-2002-22-200-220000002-2002-200000000000
χ502-2-222200-22-2-2-2-22202-2-2200000000-22-22-2-22200000000000000000000002-22-200-22-2200-22000000-2200-2200000000000
χ512-2-222200-22-2-2-2-22202-2-2200000000-22-22-2-2220000000000000000000000-22-22002-2-22002-20000002-200-2200000000000
χ522-2-222200-22-2-2-2-22202-2-2200000000-22-22-2-2220000000000000000000000-22-2200-222-2002-2000000-22002-200000000000
χ5344444-244-4-44-24-2-24-4-2-2-2-20000-2-24422-4-42222-4222-2-200000000000000000000000000000000000000000000000000000
χ5444444-2-4-4-4-44-24-2-244-2-2-2-2000022-4-422-4-422224-2-2-22200000000000000000000000000000000000000000000000000000
χ554444-2444-4-4-24-244-2-4-2-2-2-2000044-2-2-4-42222222-422-2-200000000000000000000000000000000000000000000000000000
χ564444-24-4-4-4-4-24-244-24-2-2-2-20000-4-422-4-4222222-24-2-22200000000000000000000000000000000000000000000000000000
χ574444-2-24444-2-2-2-2-2-2411114444-2-2-2-2-2-2-2-21111-2-21111-2-2-2-21111-2-2-2-211110000000000000000000000000000000000000
χ584444-2-24444-2-2-2-2-2-241111-4-4-4-4-2-2-2-2-2-2-2-21111-2-211112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000000
χ594444-2-244-4-4-2-2-2-2-2-2-411110000-2-2-2-22222-1-1-1-122-1-11100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000000000
χ604444-2-244-4-4-2-2-2-2-2-2-411110000-2-2-2-22222-1-1-1-122-1-1110000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000000000
χ614444-2-2-4-444-2-2-2-2-2-2-4111144-4-42222-2-2-2-2111122-1-1-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000000000
χ624444-2-2-4-444-2-2-2-2-2-2-41111-4-4442222-2-2-2-2111122-1-1-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-241111000022222222-1-1-1-1-2-211-1-100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-241111000022222222-1-1-1-1-2-211-1-10000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000000000000
χ6544-4-44-24i−4i00-4-2422-40-2-22222−222i2−2i2−2i2i4i−4i000000000000−2i2i22−22−22−2−2222i2−2i2−i2i2−i2−i2i2i20000000000000000000000000000000000000
χ6644-4-44-24i−4i00-4-2422-40-2-222−2222−2i22i2−2i2i4i−4i000000000000−2i2i−22222−222−2−2−2i22i2i2−i2i2i2−i2−i20000000000000000000000000000000000000
χ6744-4-44-2−4i4i00-4-2422-40-2-22222−22−2i22i22i−2i−4i4i0000000000002i−2i22−22−22−2−222−2i22i2i2−i2i2i2−i2−i20000000000000000000000000000000000000
χ6844-4-44-2−4i4i00-4-2422-40-2-222−22222i2−2i22i−2i−4i4i0000000000002i−2i−22222−222−2−22i2−2i2−i2i2−i2−i2i2i20000000000000000000000000000000000000
χ6944-4-4-244i−4i0024-2-4-420-2-22222−222i2−2i24i−4i−2i2i000000000000−2i2i−2222−22−2−222−i2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000
χ7044-4-4-244i−4i0024-2-4-420-2-222−2222−2i22i24i−4i−2i2i000000000000−2i2i2−2−222222−2−2i2−i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000
χ7144-4-4-24−4i4i0024-2-4-420-2-22222−22−2i22i2−4i4i2i−2i0000000000002i−2i−2222−22−2−222i2−i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000
χ7244-4-4-24−4i4i0024-2-4-420-2-222−22222i2−2i2−4i4i2i−2i0000000000002i−2i2−2−222222−2−2−i2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000
χ7344-4-4-2-24i−4i002-2-2222011-1-122−222i2−2i2−2i2i−2i2i00003i−3i3i−3i003-3i−i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ30000000000000000000000000000000000000
χ7444-4-4-2-24i−4i002-2-2222011-1-122−222i2−2i2−2i2i−2i2i0000−3i3i−3i3i00-33i−i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ30000000000000000000000000000000000000
χ7544-4-4-2-24i−4i002-2-2222011-1-1−2222−2i22i2−2i2i−2i2i00003i−3i3i−3i003-3i−i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3i2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ30000000000000000000000000000000000000
χ7644-4-4-2-24i−4i002-2-2222011-1-1−2222−2i22i2−2i2i−2i2i0000−3i3i−3i3i00-33i−i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3i2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ30000000000000000000000000000000000000
χ7744-4-4-2-2−4i4i002-2-2222011-1-122−22−2i22i22i−2i2i−2i00003i−3i3i−3i00-33−ii−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3i2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ30000000000000000000000000000000000000
χ7844-4-4-2-2−4i4i002-2-2222011-1-122−22−2i22i22i−2i2i−2i0000−3i3i−3i3i003-3−ii−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3i2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ30000000000000000000000000000000000000
χ7944-4-4-2-2−4i4i002-2-2222011-1-1−22222i2−2i22i−2i2i−2i00003i−3i3i−3i00-33−ii2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ30000000000000000000000000000000000000
χ8044-4-4-2-2−4i4i002-2-2222011-1-1−22222i2−2i22i−2i2i−2i0000−3i3i−3i3i003-3−ii2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ30000000000000000000000000000000000000
χ814-44-44400004-4-44-4-404-44-4000000000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000
χ824-44-44400004-4-44-4-404-44-400000000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000
χ834-4-444-2004-4-42-42-240-222-200000000-224-4-2-222000000000000000000000000004-40000000000000000-220000000000000
χ844-4-444-2004-4-42-42-240-222-200000000-224-4-2-22200000000000000000000000000-4400000000000000002-20000000000000
χ854-4-444-200-44-42-42-240-222-2000000002-2-4422-2-20000000000000000000000000000004-400000000000000-2200000000000
χ864-4-444-200-44-42-42-240-222-2000000002-2-4422-2-2000000000000000000000000000000-44000000000000002-200000000000
χ874-4-44-24004-42-42-44-20-222-2000000004-4-22-2-222000000000000000000000000000000004-400000000000000-22000000000
χ884-4-44-24004-42-42-44-20-222-2000000004-4-22-2-22200000000000000000000000000000000-44000000000000002-2000000000
χ894-4-44-2400-442-42-44-20-222-200000000-442-222-2-200000000000000000000000000004-4000000000000-22000000000000000
χ904-4-44-2400-442-42-44-20-222-200000000-442-222-2-20000000000000000000000000000-440000000000002-2000000000000000
χ918-88-88-4000084-8-44-80-44-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-480000-4-848-840-44-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-40000-444-44402-22-20000000000006i−6i−6i6i00000000000000000000000000000000000000000000000000000000000
χ948-88-8-4-40000-444-44402-22-2000000000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-4008-84444-4-402-2-2200000000-44-4422-2-200000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-400-884444-4-402-2-22000000004-44-4-2-22200000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.