Finite Group Databasebeta

← Group #11878735

Character table — Group #11878735

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444444444888888888888888888888818181818181824242424242424242424242424242424363636363648484848
order122233444466666634666888812121212121212121212121212121212121224242424242424242424242424242424224444224444446666121212124888812121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-11-111-1-111-1-111-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-1-1-1-111
χ5111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111
χ7111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-111-1-1-11111-1-111
χ8111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-111-1111111-1-1
χ9111111-1-1111111111-111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-111-11-111-1-1-1-111111-1-11-11-1
χ10111111-1-1111111111-111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11-11-1-11111-1-1111-1-1-11-11
χ11111111-1-1111111111-111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-11-1-111111-1-1-1-1-1-1-1111-1-11
χ12111111-1-1111111111-111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-1-1-1-11111-1-1-111-111-1
χ13111111-1-1111111111-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-11-11-1111-1-1-1-1111-1-111-11-11
χ14111111-1-1111111111-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-11-11-1-1-11111-1-11-1-1111-11-1
χ15111111-1-1111111111-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-111-11111-1-1-1-1-111-1-1-111-1
χ16111111-1-1111111111-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1111-1-11-1-1-1-11111-111-1-11-1-11
χ1722222222-2-22222222-222200002222-2-2-2-2-2-2-2-2-2-222-2-2000000000000000022-2-2220000000000000000-200000000
χ1822222222-2-22222222-222200002222-2-2-2-2-2-2-2-2-2-222-2-20000000000000000-2-222-2-20000000000000000200000000
χ19222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-222-2-22200000000000000002222-2-20000000000000000-200000000
χ20222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000-2-2-2-2220000000000000000200000000
χ2122222-122222-12-12-1-12-1-1-1222222-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000202002200-1-100-1-10000000-1-1
χ2222222-122222-12-12-1-12-1-1-1222222-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000-20-200-2-200110011000000011
χ2322222-122222-12-12-1-12-1-1-1-2-2-2-222-1-12-1-1-12-1-1-12-1-1-1-1-1-2-2111111-2-2111111000000020200-2-200-1-100-1-1000000011
χ2422222-122222-12-12-1-12-1-1-1-2-2-2-222-1-12-1-1-12-1-1-12-1-1-1-1-1-2-2111111-2-21111110000000-20-20022001100110000000-1-1
χ2522222-1-2-2222-12-12-1-1-2-1-1-122-2-2-2-2112-1-1-12-1-1-1-21111122-1-1-1-1-1-1-2-2111111000000020-200-2200-1-1001100000001-1
χ2622222-1-2-2222-12-12-1-1-2-1-1-122-2-2-2-2112-1-1-12-1-1-1-21111122-1-1-1-1-1-1-2-21111110000000-202002-2001100-1-10000000-11
χ2722222-1-2-2222-12-12-1-1-2-1-1-1-2-222-2-2112-1-1-12-1-1-1-211111-2-211111122-1-1-1-1-1-1000000020-2002-200-1-100110000000-11
χ2822222-1-2-2222-12-12-1-1-2-1-1-1-2-222-2-2112-1-1-12-1-1-1-211111-2-211111122-1-1-1-1-1-10000000-20200-22001100-1-100000001-1
χ292222-122222-12-12-12-12-1-1-12222-1-122-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000020202200-1-100-1-10000000-1-100
χ302222-122222-12-12-12-12-1-1-12222-1-122-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000-20-20-2-20011001100000001100
χ312222-122222-12-12-12-12-1-1-1-2-2-2-2-1-122-12-1-1-12-1-1-12-1-1-1-111-2-2111111-2-211110000002020-2-200-1-100-1-100000001100
χ322222-122222-12-12-12-12-1-1-1-2-2-2-2-1-122-12-1-1-12-1-1-12-1-1-1-111-2-2111111-2-21111000000-20-2022001100110000000-1-100
χ332222-12-2-222-12-12-12-1-2-1-1-122-2-211-2-2-12-1-1-12-1-11-21111-1-122-1-1-1-111-2-2111100000020-202-200-1-100110000000-1100
χ342222-12-2-222-12-12-12-1-2-1-1-122-2-211-2-2-12-1-1-12-1-11-21111-1-122-1-1-1-111-2-21111000000-2020-22001100-1-100000001-100
χ352222-12-2-222-12-12-12-1-2-1-1-1-2-22211-2-2-12-1-1-12-1-11-2111111-2-21111-1-122-1-1-1-100000020-20-2200-1-1001100000001-100
χ362222-12-2-222-12-12-12-1-2-1-1-1-2-22211-2-2-12-1-1-12-1-11-2111111-2-21111-1-122-1-1-1-1000000-20202-2001100-1-10000000-1100
χ372-22-2222-200-2-222-2-2202-2-2−i2i2−i2i22-22-200000000002-200−i2i2−i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i22-2002-200000000000000000−i2i2−i2i20000
χ382-22-2222-200-2-222-2-2202-2-2−i2i2−i2i22-22-200000000002-200−i2i2−i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i2-2200-2200000000000000000i2−i2i2−i20000
χ392-22-2222-200-2-222-2-2202-2-2i2−i2i2−i22-22-200000000002-200i2−i2i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i22-2002-200000000000000000i2−i2i2−i20000
χ402-22-2222-200-2-222-2-2202-2-2i2−i2i2−i22-22-200000000002-200i2−i2i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i2-2200-2200000000000000000−i2i2−i2i20000
χ412-22-222-2200-2-222-2-2202-2-2−i2i2i2−i2-22-220000000000-2200−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i22-200-2200000000000000000−i2i2i2−i20000
χ422-22-222-2200-2-222-2-2202-2-2−i2i2i2−i2-22-220000000000-2200−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i2-22002-200000000000000000i2−i2−i2i20000
χ432-22-222-2200-2-222-2-2202-2-2i2−i2−i2i2-22-220000000000-2200i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i22-200-2200000000000000000i2−i2−i2i20000
χ442-22-222-2200-2-222-2-2202-2-2i2−i2−i2i2-22-220000000000-2200i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i2-22002-200000000000000000−i2i2i2−i20000
χ4544444-244-4-44-24-24-2-2-4-2-2-2000044-2-2-4222-4222-42-2-22200000000000000000000000000000000000000000000000
χ4644444-2-4-4-4-44-24-24-2-24-2-2-20000-4-422-4222-42224-222-2-200000000000000000000000000000000000000000000000
χ474444-2444-4-4-24-24-24-2-4-2-2-20000-2-2442-4222-4222-4-2-22200000000000000000000000000000000000000000000000
χ484444-24-4-4-4-4-24-24-24-24-2-2-2000022-4-42-4222-422-2422-2-200000000000000000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-2141114444-2-2-2-2-2-211-2-211-2-21111-2-2-2-21111-2-2-2-211110000000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-214111-4-4-4-4-2-2-2-2-2-211-2-211-2-211112222-1-1-1-12222-1-1-1-10000000000000000000000000000000
χ514444-2-244-4-4-2-2-2-2-2-21-41110000-2-2-2-222-1-122-1-12211-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000
χ524444-2-244-4-4-2-2-2-2-2-21-41110000-2-2-2-222-1-122-1-12211-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000
χ534444-2-2-4-444-2-2-2-2-2-21-411144-4-42222-2-211-2-21122-1-1-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000
χ544444-2-2-4-444-2-2-2-2-2-21-4111-4-4442222-2-211-2-21122-1-1-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-2141110000222222-1-122-1-1-2-2-1-11100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-2141110000222222-1-122-1-1-2-2-1-1110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000000
χ5744-4-444000044-4-4-4-440-44-400000000000000000000000000000000000000004-4000000000000000000000000000
χ5844-4-444000044-4-4-4-440-44-40000000000000000000000000000000000000000-44000000000000000000000000000
χ594-44-44-24-400-424-2-42-20-222−2i22i2−2i22i24-4-220000000000-2200−2i22i2i2−i2i2i2−i2−i2−2i22i2i2−i2i2i2−i2−i20000000000000000000000000000000
χ604-44-44-24-400-424-2-42-20-2222i2−2i22i2−2i24-4-220000000000-22002i2−2i2−i2i2−i2−i2i2i22i2−2i2−i2i2−i2−i2i2i20000000000000000000000000000000
χ614-44-44-2-4400-424-2-42-20-222−2i22i22i2−2i2-442-200000000002-200−2i22i2i2−i2i2i2−i2−i22i2−2i2−i2i2−i2−i2i2i20000000000000000000000000000000
χ624-44-44-2-4400-424-2-42-20-2222i2−2i2−2i22i2-442-200000000002-2002i2−2i2−i2i2−i2−i2i2i2−2i22i2i2−i2i2i2−i2−i20000000000000000000000000000000
χ634-44-4-244-4002-4-242-4-20-222−2i22i2−2i22i2-224-40000000000-2200i2−i2−2i22i2i2i2−i2−i2i2−i2−2i22i2i2i2−i2−i20000000000000000000000000000000
χ644-44-4-244-4002-4-242-4-20-2222i2−2i22i2−2i2-224-40000000000-2200−i2i22i2−2i2−i2−i2i2i2−i2i22i2−2i2−i2−i2i2i20000000000000000000000000000000
χ654-44-4-24-44002-4-242-4-20-222−2i22i22i2−2i22-2-4400000000002-200i2−i2−2i22i2i2i2−i2−i2−i2i22i2−2i2−i2−i2i2i20000000000000000000000000000000
χ664-44-4-24-44002-4-242-4-20-2222i2−2i2−2i22i22-2-4400000000002-200−i2i22i2−2i2−i2−i2i2i2i2−i2−2i22i2i2i2−i2−i20000000000000000000000000000000
χ674-44-4-2-24-40022-2-222101-1-1−2i22i2−2i22i2-22-22003i−3i003i−3i001-13i−3ii2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ230000000000000000000000000000000
χ684-44-4-2-24-40022-2-222101-1-1−2i22i2−2i22i2-22-2200−3i3i00−3i3i001-1−3i3ii2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ230000000000000000000000000000000
χ694-44-4-2-24-40022-2-222101-1-12i2−2i22i2−2i2-22-22003i−3i003i−3i001-13i−3i−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ230000000000000000000000000000000
χ704-44-4-2-24-40022-2-222101-1-12i2−2i22i2−2i2-22-2200−3i3i00−3i3i001-1−3i3i−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ230000000000000000000000000000000
χ714-44-4-2-2-440022-2-222101-1-1−2i22i22i2−2i22-22-2003i−3i003i−3i00-11−3i3ii2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ230000000000000000000000000000000
χ724-44-4-2-2-440022-2-222101-1-1−2i22i22i2−2i22-22-200−3i3i00−3i3i00-113i−3ii2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ230000000000000000000000000000000
χ734-44-4-2-2-440022-2-222101-1-12i2−2i2−2i22i22-22-2003i−3i003i−3i00-11−3i3i−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ230000000000000000000000000000000
χ744-44-4-2-2-440022-2-222101-1-12i2−2i2−2i22i22-22-200−3i3i00−3i3i00-113i−3i−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ230000000000000000000000000000000
χ754-4-4444004-4-4-4-4-44440-4-4400000000-4-4-4-4444400000000000000000000000000000000000000000000000000000
χ764-4-444400-44-4-4-4-44440-4-44000000004444-4-4-4-400000000000000000000000000000000000000000000000000000
χ774-4-444-2004-4-42-424-2-2022-200000000-42224-2-2-200000000000000000000000000000000000000−2i32i30000000000000
χ784-4-444-2004-4-42-424-2-2022-200000000-42224-2-2-2000000000000000000000000000000000000002i3−2i30000000000000
χ794-4-444-200-44-42-424-2-2022-2000000004-2-2-2-422200000000000000000000000000000000000000000023−23000000000
χ804-4-444-200-44-42-424-2-2022-2000000004-2-2-2-4222000000000000000000000000000000000000000000−2323000000000
χ814-4-44-24004-42-42-4-24-2022-2000000002-422-24-2-2000000000000000000000000000000000000−2i32i3000000000000000
χ824-4-44-24004-42-42-4-24-2022-2000000002-422-24-2-20000000000000000000000000000000000002i3−2i3000000000000000
χ834-4-44-2400-442-42-4-24-2022-200000000-24-2-22-422000000000000000000000000000000000000000023−2300000000000
χ844-4-44-2400-442-42-4-24-2022-200000000-24-2-22-4220000000000000000000000000000000000000000−232300000000000
χ8588-8-88-400008-4-84-84-404-44000000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-480000-484-84-8-404-44000000000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-40000-4-4444420-22-200000000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000
χ8888-8-8-4-40000-4-4444420-22-20000000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000
χ898-8-88-4-4008-84444-4-420-2-220000000044-2-2-4-42200000000000000000000000000000000000000000000000000000
χ908-8-88-4-400-884444-4-420-2-2200000000-4-42244-2-200000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.