Finite Group Databasebeta

← Group #11865804

Character table — Group #11865804

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order122233444466666634666888812121212121212121212121212121212121224242424242424242424242424242424444422444444224422446612121212121248888661212
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
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-11111-1-1-1-1-11-1-11
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
χ7111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-111111-1-11
χ8111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-11111-11111-111-1
χ9111111-1-1111111111-111111-1-1-1-11-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11-1-1111-1-1-1-111-111-1-1-11-11
χ10111111-1-1111111111-111111-1-1-1-11-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-111-1-1-11111-1-1-111-1-11-11-1
χ11111111-1-1111111111-111111-1-1-1-11-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-111-1-11-1-11111-1-1
χ12111111-1-1111111111-111111-1-1-1-11-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1111-1-111-1-111
χ13111111-1-1111111111-1111-1-111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-111-111-1-1-1-111-1-1-1111-11-1
χ14111111-1-1111111111-1111-1-111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-111-1-11-1-11-1-11111-1-1-1-1-111-11-11
χ15111111-1-1111111111-1111-1-111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111-1-11111-1-111-1-1111-1-1-1-111
χ16111111-1-1111111111-1111-1-111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111111-1-111-1-1
χ1722222222-2-22222222-2222000022-222-2-2-2-2-2-2-2-2-222-2-20000000000000000222200000000-2-222000000000000-200000000
χ1822222222-2-22222222-2222000022-222-2-2-2-2-2-2-2-2-222-2-20000000000000000-2-2-2-20000000022-2-2000000000000200000000
χ19222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000222200000000-2-2-2-2000000000000200000000
χ20222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000-2-2-2-2000000002222000000000000-200000000
χ2122222-122222-12-1-12-12-1-1-1222222-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100002222000000002020-1-1-1-10000000000-1-10
χ2222222-122222-12-1-12-12-1-1-1222222-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-200000000-20-2011110000000000110
χ2322222-122222-12-1-12-12-1-1-1-2-2-2-222-1-1-12-1-1-12-1-1-12-1-1-1-1-2-2111111-2-21111110000222200000000-20-20-1-1-1-10000000000110
χ2422222-122222-12-1-12-12-1-1-1-2-2-2-222-1-1-12-1-1-12-1-1-12-1-1-1-1-2-2111111-2-21111110000-2-2-2-200000000202011110000000000-1-10
χ2522222-1-2-2222-12-1-12-1-2-1-1-122-2-2-2-2-1112-1-1-12-1-11-2111122-1-1-1-1-1-1-2-2111111000022-2-20000000020-20-1-1110000000000-110
χ2622222-1-2-2222-12-1-12-1-2-1-1-122-2-2-2-2-1112-1-1-12-1-11-2111122-1-1-1-1-1-1-2-21111110000-2-22200000000-202011-1-100000000001-10
χ2722222-1-2-2222-12-1-12-1-2-1-1-1-2-222-2-2-1112-1-1-12-1-11-21111-2-211111122-1-1-1-1-1-1000022-2-200000000-2020-1-11100000000001-10
χ2822222-1-2-2222-12-1-12-1-2-1-1-1-2-222-2-2-1112-1-1-12-1-11-21111-2-211111122-1-1-1-1-1-10000-2-2220000000020-2011-1-10000000000-110
χ292222-122222-12-122-1-12-1-1-12222-1-1222-1-1-12-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000002222000002020000-1-1-1-100000-100-1
χ302222-122222-12-122-1-12-1-1-12222-1-1222-1-1-12-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000-2-2-2-200000-20-200001111000001001
χ312222-122222-12-122-1-12-1-1-1-2-2-2-2-1-1222-1-1-12-1-1-12-1-1-1-1-111-2-2111111-2-2111100000000222200000-20-20000-1-1-1-1000001001
χ322222-122222-12-122-1-12-1-1-1-2-2-2-2-1-1222-1-1-12-1-1-12-1-1-1-1-111-2-2111111-2-2111100000000-2-2-2-2000002020000111100000-100-1
χ332222-12-2-222-12-122-1-1-2-1-1-122-2-2112-2-2-1-1-12-1-1-1-211111-1-122-1-1-1-111-2-211110000000022-2-20000020-20000-1-11100000-1001
χ342222-12-2-222-12-122-1-1-2-1-1-122-2-2112-2-2-1-1-12-1-1-1-211111-1-122-1-1-1-111-2-2111100000000-2-22200000-202000011-1-100000100-1
χ352222-12-2-222-12-122-1-1-2-1-1-1-2-222112-2-2-1-1-12-1-1-1-21111111-2-21111-1-122-1-1-1-10000000022-2-200000-2020000-1-11100000100-1
χ362222-12-2-222-12-122-1-1-2-1-1-1-2-222112-2-2-1-1-12-1-1-1-21111111-2-21111-1-122-1-1-1-100000000-2-2220000020-2000011-1-100000-1001
χ3722-2-2222i−2i00-222-2-2-2202-2-22−2i2−i22i−2i02i−2i0000000002i−2i002−22−222−2−2i2−i2i2−i2i2i2−i2−i22i2i−2i−2i00000000002-20000000000000i2−i22−20000
χ3822-2-2222i−2i00-222-2-2-2202-2-22−2i2−i22i−2i02i−2i0000000002i−2i002−22−222−2−2i2−i2i2−i2i2i2−i2−i2−2i−2i2i2i0000000000-220000000000000−i2i2−220000
χ3922-2-2222i−2i00-222-2-2-2202-2-2−22−i2i22i−2i02i−2i0000000002i−2i00−22−22−2−222−i2i2−i2i2−i2−i2i2i22i2i−2i−2i00000000002-20000000000000−i2i2−220000
χ4022-2-2222i−2i00-222-2-2-2202-2-2−22−i2i22i−2i02i−2i0000000002i−2i00−22−22−2−222−i2i2−i2i2−i2−i2i2i2−2i−2i2i2i0000000000-220000000000000i2−i22−20000
χ4122-2-222−2i2i00-222-2-2-2202-2-22−2−i2i2−2i2i0−2i2i000000000−2i2i002−22−222−2−2−i2i2−i2i2−i2−i2i2i22i2i−2i−2i0000000000-220000000000000i2−i2−220000
χ4222-2-222−2i2i00-222-2-2-2202-2-22−2−i2i2−2i2i0−2i2i000000000−2i2i002−22−222−2−2−i2i2−i2i2−i2−i2i2i2−2i−2i2i2i00000000002-20000000000000−i2i22−20000
χ4322-2-222−2i2i00-222-2-2-2202-2-2−22i2−i2−2i2i0−2i2i000000000−2i2i00−22−22−2−222i2−i2i2−i2i2i2−i2−i22i2i−2i−2i0000000000-220000000000000−i2i22−20000
χ4422-2-222−2i2i00-222-2-2-2202-2-2−22i2−i2−2i2i0−2i2i000000000−2i2i00−22−22−2−222i2−i2i2−i2i2i2−i2−i2−2i−2i2i2i00000000002-20000000000000i2−i2−220000
χ452-2-2222002-2-2-2-22-2220-22-2000000200222-2-2-2-200000000000000000000002-22-2002i−2i2i−2i002-2000000002i−2i2i−2i00000000000
χ462-2-2222002-2-2-2-22-2220-22-2000000200222-2-2-2-200000000000000000000002-22-200−2i2i−2i2i002-200000000−2i2i−2i2i00000000000
χ472-2-2222002-2-2-2-22-2220-22-2000000200222-2-2-2-20000000000000000000000-22-22002i−2i−2i2i00-22000000002i−2i−2i2i00000000000
χ482-2-2222002-2-2-2-22-2220-22-2000000200222-2-2-2-20000000000000000000000-22-2200−2i2i2i−2i00-2200000000−2i2i2i−2i00000000000
χ492-2-222200-22-2-2-22-2220-22-2000000-200-2-2-2222200000000000000000000002-22-22-200002-2-220000002-200002-2000000000
χ502-2-222200-22-2-2-22-2220-22-2000000-200-2-2-2222200000000000000000000002-22-2-220000-22-22000000-220000-22000000000
χ512-2-222200-22-2-2-22-2220-22-2000000-200-2-2-222220000000000000000000000-22-222-20000-222-20000002-20000-22000000000
χ522-2-222200-22-2-2-22-2220-22-2000000-200-2-2-222220000000000000000000000-22-22-2200002-22-2000000-2200002-2000000000
χ5344444-244-4-44-24-2-24-2-4-2-2-20000442-2-2-4222-4222-4-2-22200000000000000000000000000000000000000000000000000000
χ5444444-2-4-4-4-44-24-2-24-24-2-2-20000-4-4222-4222-422-2422-2-200000000000000000000000000000000000000000000000000000
χ554444-2444-4-4-24-244-2-2-4-2-2-20000-2-2-444222-4222-42-2-22200000000000000000000000000000000000000000000000000000
χ564444-24-4-4-4-4-24-244-2-24-2-2-2000022-4-4-4222-42224-222-2-200000000000000000000000000000000000000000000000000000
χ574444-2-24444-2-2-2-2-2-2141114444-2-2-2-2-2-211-2-211-2-21111-2-2-2-21111-2-2-2-211110000000000000000000000000000000000000
χ584444-2-24444-2-2-2-2-2-214111-4-4-4-4-2-2-2-2-2-211-2-211-2-211112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000000
χ594444-2-244-4-4-2-2-2-2-2-21-41110000-2-22-2-22-1-122-1-12211-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000000000
χ604444-2-244-4-4-2-2-2-2-2-21-41110000-2-22-2-22-1-122-1-12211-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000000000
χ614444-2-2-4-444-2-2-2-2-2-21-411144-4-422-222-211-2-21122-1-1-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000000000
χ624444-2-2-4-444-2-2-2-2-2-21-4111-4-44422-222-211-2-21122-1-1-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-2141110000222222-1-122-1-1-2-2-1-11100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-2141110000222222-1-122-1-1-2-2-1-1110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000000000000
χ6544-4-44-24i−4i00-4-2422-4-20-22222−222i2−2i24i−4i0−2i2i000000000−2i2i0022−22−22−2−2222i2−2i2−i2i2−i2−i2i2i20000000000000000000000000000000000000
χ6644-4-44-24i−4i00-4-2422-4-20-222−2222−2i22i24i−4i0−2i2i000000000−2i2i00−22222−222−2−2−2i22i2i2−i2i2i2−i2−i20000000000000000000000000000000000000
χ6744-4-44-2−4i4i00-4-2422-4-20-22222−22−2i22i2−4i4i02i−2i0000000002i−2i0022−22−22−2−222−2i22i2i2−i2i2i2−i2−i20000000000000000000000000000000000000
χ6844-4-44-2−4i4i00-4-2422-4-20-222−22222i2−2i2−4i4i02i−2i0000000002i−2i00−22222−222−2−22i2−2i2−i2i2−i2−i2i2i20000000000000000000000000000000000000
χ6944-4-4-244i−4i0024-2-4-42-20-22222−222i2−2i2−2i2i04i−4i000000000−2i2i00−2222−22−2−222−i2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000
χ7044-4-4-244i−4i0024-2-4-42-20-222−2222−2i22i2−2i2i04i−4i000000000−2i2i002−2−222222−2−2i2−i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000
χ7144-4-4-24−4i4i0024-2-4-42-20-22222−22−2i22i22i−2i0−4i4i0000000002i−2i00−2222−22−2−222i2−i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000
χ7244-4-4-24−4i4i0024-2-4-42-20-222−22222i2−2i22i−2i0−4i4i0000000002i−2i002−2−222222−2−2−i2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000
χ7344-4-4-2-24i−4i002-2-2222101-1-122−222i2−2i2−2i2i0−2i2i03i−3i003i−3i00i−i3-3−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ30000000000000000000000000000000000000
χ7444-4-4-2-24i−4i002-2-2222101-1-122−222i2−2i2−2i2i0−2i2i0−3i3i00−3i3i00i−i-33−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ30000000000000000000000000000000000000
χ7544-4-4-2-24i−4i002-2-2222101-1-1−2222−2i22i2−2i2i0−2i2i03i−3i003i−3i00i−i3-32−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3i2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ30000000000000000000000000000000000000
χ7644-4-4-2-24i−4i002-2-2222101-1-1−2222−2i22i2−2i2i0−2i2i0−3i3i00−3i3i00i−i-332−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3i2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ30000000000000000000000000000000000000
χ7744-4-4-2-2−4i4i002-2-2222101-1-122−22−2i22i22i−2i02i−2i03i−3i003i−3i00−ii-33−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3i2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ30000000000000000000000000000000000000
χ7844-4-4-2-2−4i4i002-2-2222101-1-122−22−2i22i22i−2i02i−2i0−3i3i00−3i3i00−ii3-3−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3i2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ30000000000000000000000000000000000000
χ7944-4-4-2-2−4i4i002-2-2222101-1-1−22222i2−2i22i−2i02i−2i03i−3i003i−3i00−ii-332−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ30000000000000000000000000000000000000
χ8044-4-4-2-2−4i4i002-2-2222101-1-1−22222i2−2i22i−2i02i−2i0−3i3i00−3i3i00−ii3-32−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ30000000000000000000000000000000000000
χ814-44-44400004-4-4-44-440-4-44000000000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000
χ824-44-44400004-4-4-44-440-4-4400000000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000
χ834-4-444-2004-4-42-4-224-202-22000000-2004-2-22-42200000000000000000000000000004i−4i00000000000000−2i2i0000000000000
χ844-4-444-2004-4-42-4-224-202-22000000-2004-2-22-4220000000000000000000000000000−4i4i000000000000002i−2i0000000000000
χ854-4-444-200-44-42-4-224-202-22000000200-422-24-2-2000000000000000000000000004-400000000000000-22000000000000000
χ864-4-444-200-44-42-4-224-202-22000000200-422-24-2-200000000000000000000000000-44000000000000002-2000000000000000
χ874-4-44-24004-42-424-4-2-202-22000000400-2-2-2-42220000000000000000000000000000004i−4i00000000000000−2i2i00000000000
χ884-4-44-24004-42-424-4-2-202-22000000400-2-2-2-4222000000000000000000000000000000−4i4i000000000000002i−2i00000000000
χ894-4-44-2400-442-424-4-2-202-22000000-4002224-2-2-2000000000000000000000000000000004-400000000000000-22000000000
χ904-4-44-2400-442-424-4-2-202-22000000-4002224-2-2-200000000000000000000000000000000-44000000000000002-2000000000
χ918-88-88-4000084-84-4-8-4044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-480000-4-84-884-4044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-40000-4444-4420-2-2200000000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000000000
χ948-88-8-4-40000-4444-4420-2-220000000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-4008-8444-44-420-22-2000000-400-42244-2-200000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-400-88444-44-420-22-20000004004-2-2-4-42200000000000000000000000000000000000000000000000000000000000

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