Finite Group Databasebeta

← Group #11870589

Character table — Group #11870589

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order122233444466666623666888812121212121212121212121266661212242424242424242424242424242424244444224444444444244466121212121212488886121212
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
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-1-1-1-1-1-111
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
χ7111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-11111-1-111
χ8111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-111-1-111-1111111-1-1
χ9111111-1-111111111-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11-1-1111-1-1-1-111-111-1-11-1-11
χ10111111-1-111111111-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-111-1-1-11111-1-1-111-1-1-111-1
χ11111111-1-111111111-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-11-1-1111-11-1
χ12111111-1-111111111-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111111-1-111-11-11
χ13111111-1-111111111-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-1-111-111-1-1-1-111-1-1-111-111-1
χ14111111-1-111111111-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-11-1-11-1-11111-1-1-1-1-1111-1-11
χ15111111-1-111111111-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-1111111-1-1-1-1111-1-1-11-11
χ16111111-1-111111111-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111111-1-11-11-1
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
χ2122222-12222-12-12-122-1-1-1-1222222-1-122-1-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100002222000000002020-1-100-1-10000000-1-100
χ2222222-12222-12-12-122-1-1-1-1222222-1-122-1-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-200000000-20-2011001100000001100
χ2322222-12222-12-12-122-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-12-1-1-1-1-1-2-2111111-2-21111110000222200000000-20-20-1-100-1-100000001100
χ2422222-12222-12-12-122-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-12-1-1-1-1-1-2-2111111-2-21111110000-2-2-2-20000000020201100110000000-1-100
χ2522222-1-2-222-12-12-12-2-1-1-1-122-2-2-2-21122-1-1-1-1-1-1-21111122-1-1-1-1-1-1-2-2111111000022-2-20000000020-20-1-100110000000-1100
χ2622222-1-2-222-12-12-12-2-1-1-1-122-2-2-2-21122-1-1-1-1-1-1-21111122-1-1-1-1-1-1-2-21111110000-2-22200000000-20201100-1-100000001-100
χ2722222-1-2-222-12-12-12-2-1-1-1-1-2-222-2-21122-1-1-1-1-1-1-211111-2-211111122-1-1-1-1-1-1000022-2-200000000-2020-1-1001100000001-100
χ2822222-1-2-222-12-12-12-2-1-1-1-1-2-222-2-21122-1-1-1-1-1-1-211111-2-211111122-1-1-1-1-1-10000-2-2220000000020-201100-1-10000000-1100
χ292222-1222222-12-12-12-1-1-1-12222-1-122-1-122-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000022220000020200-1-100-1-10000000-1-1
χ302222-1222222-12-12-12-1-1-1-12222-1-122-1-122-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000-2-2-2-200000-20-200110011000000011
χ312222-1222222-12-12-12-1-1-1-1-2-2-2-2-1-122-1-122-1-1-1-1-12-1-1-1-111-2-2111111-2-2111100000000222200000-20-200-1-100-1-1000000011
χ322222-1222222-12-12-12-1-1-1-1-2-2-2-2-1-122-1-122-1-1-1-1-12-1-1-1-111-2-2111111-2-2111100000000-2-2-2-200000202001100110000000-1-1
χ332222-12-2-2222-12-12-1-2-1-1-1-122-2-211-2-2-1-122-1-1-1-11-21111-1-122-1-1-1-111-2-211110000000022-2-200000-202001100-1-100000001-1
χ342222-12-2-2222-12-12-1-2-1-1-1-122-2-211-2-2-1-122-1-1-1-11-21111-1-122-1-1-1-111-2-2111100000000-2-2220000020-200-1-100110000000-11
χ352222-12-2-2222-12-12-1-2-1-1-1-1-2-22211-2-2-1-122-1-1-1-11-2111111-2-21111-1-122-1-1-1-10000000022-2-20000020-2001100-1-10000000-11
χ362222-12-2-2222-12-12-1-2-1-1-1-1-2-22211-2-2-1-122-1-1-1-11-2111111-2-21111-1-122-1-1-1-100000000-2-22200000-20200-1-1001100000001-1
χ3722-2-222002-2-2-2-222-202-2-22000000002-22-222-2-200000000000000000000002i2i−2i−2i2-2002i−2i002i−2i0000002-200002i−2i000000000
χ3822-2-222002-2-2-2-222-202-2-22000000002-22-222-2-200000000000000000000002i2i−2i−2i-2200−2i2i002i−2i000000-220000−2i2i000000000
χ3922-2-222002-2-2-2-222-202-2-22000000002-22-222-2-20000000000000000000000−2i−2i2i2i2-200−2i2i00−2i2i0000002-20000−2i2i000000000
χ4022-2-222002-2-2-2-222-202-2-22000000002-22-222-2-20000000000000000000000−2i−2i2i2i-22002i−2i00−2i2i000000-2200002i−2i000000000
χ4122-2-22200-22-2-2-222-202-2-2200000000-22-22-2-22200000000000000000000002i2i−2i−2i002-2002i−2i−2i2i000000002i−2i2-200000000000
χ4222-2-22200-22-2-2-222-202-2-2200000000-22-22-2-22200000000000000000000002i2i−2i−2i00-2200−2i2i−2i2i00000000−2i2i-2200000000000
χ4322-2-22200-22-2-2-222-202-2-2200000000-22-22-2-2220000000000000000000000−2i−2i2i2i002-200−2i2i2i−2i00000000−2i2i2-200000000000
χ4422-2-22200-22-2-2-222-202-2-2200000000-22-22-2-2220000000000000000000000−2i−2i2i2i00-22002i−2i2i−2i000000002i−2i-2200000000000
χ452-22-2222i−2i002-2-2-2-22022-2-22−2i2−i22i−2i2i−2i0000000000002i−2i2−22−222−2−2i2−i2i2−i2i2i2−i2−i22-22-200000000002i−2i00000000000002−2i2−i20000
χ462-22-2222i−2i002-2-2-2-22022-2-22−2i2−i22i−2i2i−2i0000000000002i−2i2−22−222−2−2i2−i2i2−i2i2i2−i2−i2-22-220000000000−2i2i0000000000000−22−i2i20000
χ472-22-2222i−2i002-2-2-2-22022-2-2−22−i2i22i−2i2i−2i0000000000002i−2i−22−22−2−222−i2i2−i2i2−i2−i2i2i22-22-200000000002i−2i0000000000000−22−i2i20000
χ482-22-2222i−2i002-2-2-2-22022-2-2−22−i2i22i−2i2i−2i0000000000002i−2i−22−22−2−222−i2i2−i2i2−i2−i2i2i2-22-220000000000−2i2i00000000000002−2i2−i20000
χ492-22-222−2i2i002-2-2-2-22022-2-22−2−i2i2−2i2i−2i2i000000000000−2i2i2−22−222−2−2−i2i2−i2i2−i2−i2i2i22-22-20000000000−2i2i00000000000002−2−i2i20000
χ502-22-222−2i2i002-2-2-2-22022-2-22−2−i2i2−2i2i−2i2i000000000000−2i2i2−22−222−2−2−i2i2−i2i2−i2−i2i2i2-22-2200000000002i−2i0000000000000−22i2−i20000
χ512-22-222−2i2i002-2-2-2-22022-2-2−22i2−i2−2i2i−2i2i000000000000−2i2i−22−22−2−222i2−i2i2−i2i2i2−i2−i22-22-20000000000−2i2i0000000000000−22i2−i20000
χ522-22-222−2i2i002-2-2-2-22022-2-2−22i2−i2−2i2i−2i2i000000000000−2i2i−22−22−2−222i2−i2i2−i2i2i2−i2−i2-22-2200000000002i−2i00000000000002−2−i2i20000
χ5344444-244-4-4-24-24-24-4-2-2-2-2000044-2-2-4-4222222-4222-2-200000000000000000000000000000000000000000000000000000
χ5444444-2-4-4-4-4-24-24-244-2-2-2-20000-4-422-4-42222224-2-2-22200000000000000000000000000000000000000000000000000000
χ554444-2444-4-44-24-24-2-4-2-2-2-20000-2-24422-4-422222-422-2-200000000000000000000000000000000000000000000000000000
χ564444-24-4-4-4-44-24-24-24-2-2-2-2000022-4-422-4-42222-24-2-22200000000000000000000000000000000000000000000000000000
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
χ6544-4-44-2004-42-424-2-40-222-2000000004-4-22-2-222000000000000000000000000004-400000000000000-22000000000000000
χ6644-4-44-2004-42-424-2-40-222-2000000004-4-22-2-22200000000000000000000000000-44000000000000002-2000000000000000
χ6744-4-44-200-442-424-2-40-222-200000000-442-222-2-200000000000000000000000000004-40000000000000000-2200000000000
χ6844-4-44-200-442-424-2-40-222-200000000-442-222-2-20000000000000000000000000000-4400000000000000002-200000000000
χ6944-4-4-24004-4-42-4-2420-222-200000000-224-4-2-2220000000000000000000000000000004i−4i0000000000000000−2i2i000000000
χ7044-4-4-24004-4-42-4-2420-222-200000000-224-4-2-222000000000000000000000000000000−4i4i00000000000000002i−2i000000000
χ7144-4-4-2400-44-42-4-2420-222-2000000002-2-4422-2-2000000000000000000000000000000004i−4i0000000000−2i2i0000000000000
χ7244-4-4-2400-44-42-4-2420-222-2000000002-2-4422-2-200000000000000000000000000000000−4i4i00000000002i−2i0000000000000
χ734-44-44-24i−4i00-2-42-4240-2-22222−222i2−2i24i−4i−2i2i000000000000−2i2i22−22−22−2−2222i2−2i2−i2i2−i2−i2i2i20000000000000000000000000000000000000
χ744-44-44-24i−4i00-2-42-4240-2-222−2222−2i22i24i−4i−2i2i000000000000−2i2i−22222−222−2−2−2i22i2i2−i2i2i2−i2−i20000000000000000000000000000000000000
χ754-44-44-2−4i4i00-2-42-4240-2-22222−22−2i22i2−4i4i2i−2i0000000000002i−2i22−22−22−2−222−2i22i2i2−i2i2i2−i2−i20000000000000000000000000000000000000
χ764-44-44-2−4i4i00-2-42-4240-2-222−22222i2−2i2−4i4i2i−2i0000000000002i−2i−22222−222−2−22i2−2i2−i2i2−i2−i2i2i20000000000000000000000000000000000000
χ774-44-4-244i−4i0042-42-4-20-2-22222−222i2−2i2−2i2i4i−4i000000000000−2i2i−2222−22−2−222−i2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000
χ784-44-4-244i−4i0042-42-4-20-2-222−2222−2i22i2−2i2i4i−4i000000000000−2i2i2−2−222222−2−2i2−i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000
χ794-44-4-24−4i4i0042-42-4-20-2-22222−22−2i22i22i−2i−4i4i0000000000002i−2i−2222−22−2−222i2−i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000
χ804-44-4-24−4i4i0042-42-4-20-2-222−22222i2−2i22i−2i−4i4i0000000000002i−2i2−2−222222−2−2−i2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000
χ814-44-4-2-24i−4i00-22222-2011-1-122−222i2−2i2−2i2i−2i2i00003i−3i3i−3i003-3i−i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ30000000000000000000000000000000000000
χ824-44-4-2-24i−4i00-22222-2011-1-122−222i2−2i2−2i2i−2i2i0000−3i3i−3i3i00-33i−i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ30000000000000000000000000000000000000
χ834-44-4-2-24i−4i00-22222-2011-1-1−2222−2i22i2−2i2i−2i2i00003i−3i3i−3i003-3i−i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3i2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ30000000000000000000000000000000000000
χ844-44-4-2-24i−4i00-22222-2011-1-1−2222−2i22i2−2i2i−2i2i0000−3i3i−3i3i00-33i−i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3i2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ30000000000000000000000000000000000000
χ854-44-4-2-2−4i4i00-22222-2011-1-122−22−2i22i22i−2i2i−2i00003i−3i3i−3i00-33−ii−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3i2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ30000000000000000000000000000000000000
χ864-44-4-2-2−4i4i00-22222-2011-1-122−22−2i22i22i−2i2i−2i0000−3i3i−3i3i003-3−ii−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3i2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ30000000000000000000000000000000000000
χ874-44-4-2-2−4i4i00-22222-2011-1-1−22222i2−2i22i−2i2i−2i00003i−3i3i−3i00-33−ii2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ30000000000000000000000000000000000000
χ884-44-4-2-2−4i4i00-22222-2011-1-1−22222i2−2i22i−2i2i−2i0000−3i3i−3i3i003-3−ii2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ30000000000000000000000000000000000000
χ894-4-44440000-444-4-4-404-44-4000000000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000
χ904-4-44440000-444-4-4-404-44-400000000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000
χ9188-8-8-4-4008-8444-4-4402-2-2200000000-44-4422-2-200000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-400-88444-4-4402-2-22000000004-44-4-2-22200000000000000000000000000000000000000000000000000000000000
χ938-8-888-4000048-4-84-80-44-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-88-480000-8-484-840-44-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-400004-4-444402-22-20000000000006i−6i−6i6i00000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-400004-4-444402-22-2000000000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000000000

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