Finite Group Databasebeta

← Group #11882265

Character table — Group #11882265

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
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-1111-1-1-111-1-111-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-11-1-1-1111-1-111-1-111-1-1-1-1-1-1-111
χ5111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-111-1-1-1-1-1-1-1-11-1-1-1-11111
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
χ91111111-1-111111111-111111-1-11-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11-1-11-111-111-1-1-1-111-111-1-11-11-1
χ101111111-1-111111111-111111-1-11-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-111-11-1-11-1-11111-1-1-111-1-1-11-11
χ111111111-1-111111111-111111-1-11-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-111111-1-1-1-11-1-1111-1-11
χ121111111-1-111111111-111111-1-11-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1111-1-1-1-1-111111-1-111-111-1
χ131111111-1-111111111-1111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1-1-111-1111-1-1-1-111-1-1-111-11-11
χ141111111-1-111111111-1111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1111-1-11-1-1-11111-1-1-1-1-1111-11-1
χ151111111-1-111111111-1111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11-11-11111-1-1-1-1111-1-1-111-1
χ161111111-1-111111111-1111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-11-11-1-1-1-11111111-1-11-1-11
χ17222222-222-22222222-22220000-22222-2-2-2-2-2-2-2-2-222-2-2000000000000000022-2-2220000000000000000-200000000
χ18222222-222-22222222-22220000-22222-2-2-2-2-2-2-2-2-222-2-20000000000000000-2-222-2-20000000000000000200000000
χ19222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-222-2-222000000000000000022-2-2-2-20000000000000000200000000
χ20222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000-2-222220000000000000000-200000000
χ2122222-122222-12-12-1-12-1-1-12222222-1-1-1-1-12-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000200022200-1-100-1-10000000-1-1
χ2222222-122222-12-12-1-12-1-1-12222222-1-1-1-1-12-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000-2000-2-2-200110011000000011
χ2322222-122222-12-12-1-12-1-1-1-2-2-2-2222-1-1-1-1-12-1-1-1-12-1-1-1-1-2-2111111-2-2111111000000020002-2-200-1-100-1-1000000011
χ2422222-122222-12-12-1-12-1-1-1-2-2-2-2222-1-1-1-1-12-1-1-1-12-1-1-1-1-2-2111111-2-21111110000000-2000-222001100110000000-1-1
χ2522222-12-2-222-12-12-1-1-2-1-1-122-2-22-2-211-1-1-12-1-1-11-2111122-1-1-1-1-1-1-2-211111100000002000-2-2200-1-1001100000001-1
χ2622222-12-2-222-12-12-1-1-2-1-1-122-2-22-2-211-1-1-12-1-1-11-2111122-1-1-1-1-1-1-2-21111110000000-200022-2001100-1-10000000-11
χ2722222-12-2-222-12-12-1-1-2-1-1-1-2-2222-2-211-1-1-12-1-1-11-21111-2-211111122-1-1-1-1-1-100000002000-22-200-1-100110000000-11
χ2822222-12-2-222-12-12-1-1-2-1-1-1-2-2222-2-211-1-1-12-1-1-11-21111-2-211111122-1-1-1-1-1-10000000-20002-22001100-1-100000001-1
χ292222-122222-12-12-12-12-1-1-12222-1-1-1222-1-1-12-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000020222000-1-100-1-10000000-1-100
χ302222-122222-12-12-12-12-1-1-12222-1-1-1222-1-1-12-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000-20-2-2-200011001100000001100
χ312222-122222-12-12-12-12-1-1-1-2-2-2-2-1-1-1222-1-1-12-1-12-1-1-1-1-111-2-2111111-2-21111000000202-2-2000-1-100-1-100000001100
χ322222-122222-12-12-12-12-1-1-1-2-2-2-2-1-1-1222-1-1-12-1-12-1-1-1-1-111-2-2111111-2-21111000000-20-2220001100110000000-1-100
χ332222-122-2-22-12-12-12-1-2-1-1-122-2-2-111-2-22-1-1-12-1-1-211111-1-122-1-1-1-111-2-2111100000020-22-2000-1-100110000000-1100
χ342222-122-2-22-12-12-12-1-2-1-1-122-2-2-111-2-22-1-1-12-1-1-211111-1-122-1-1-1-111-2-21111000000-202-220001100-1-100000001-100
χ352222-122-2-22-12-12-12-1-2-1-1-1-2-222-111-2-22-1-1-12-1-1-21111111-2-21111-1-122-1-1-1-100000020-2-22000-1-1001100000001-100
χ362222-122-2-22-12-12-12-1-2-1-1-1-2-222-111-2-22-1-1-12-1-1-21111111-2-21111-1-122-1-1-1-1000000-2022-20001100-1-10000000-1100
χ3722-2-22202-20-2-222-2-2202-2-2−i2i2−i2i202-22-20000000002-200−i2i2−i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i22-2002-200000000000000000−i2i2−i2i20000
χ3822-2-22202-20-2-222-2-2202-2-2−i2i2−i2i202-22-20000000002-200−i2i2−i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i2-2200-2200000000000000000i2−i2i2−i20000
χ3922-2-22202-20-2-222-2-2202-2-2i2−i2i2−i202-22-20000000002-200i2−i2i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i22-2002-200000000000000000i2−i2i2−i20000
χ4022-2-22202-20-2-222-2-2202-2-2i2−i2i2−i202-22-20000000002-200i2−i2i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i2-2200-2200000000000000000−i2i2−i2i20000
χ4122-2-2220-220-2-222-2-2202-2-2−i2i2i2−i20-22-22000000000-2200−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i22-200-2200000000000000000−i2i2i2−i20000
χ4222-2-2220-220-2-222-2-2202-2-2−i2i2i2−i20-22-22000000000-2200−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i2-22002-200000000000000000i2−i2−i2i20000
χ4322-2-2220-220-2-222-2-2202-2-2i2−i2−i2i20-22-22000000000-2200i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i22-200-2200000000000000000i2−i2−i2i20000
χ4422-2-2220-220-2-222-2-2202-2-2i2−i2−i2i20-22-22000000000-2200i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i2-22002-200000000000000000−i2i2i2−i20000
χ4544444-2-444-44-24-24-2-2-4-2-2-20000-444-2-2222-42222-4-2-22200000000000000000000000000000000000000000000000
χ4644444-2-4-4-4-44-24-24-2-24-2-2-20000-4-4-422222-4222-2422-2-200000000000000000000000000000000000000000000000
χ474444-24-444-4-24-24-24-2-4-2-2-200002-2-244-4222-422-42-2-22200000000000000000000000000000000000000000000000
χ484444-24-4-4-4-4-24-24-24-24-2-2-20000222-4-4-4222-4224-222-2-200000000000000000000000000000000000000000000000
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
χ514444-2-24-4-44-2-2-2-2-2-21-411144-4-4-22222-211-2-21122-1-1-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000
χ524444-2-24-4-44-2-2-2-2-2-21-4111-4-444-22222-211-2-21122-1-1-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000
χ534444-2-2-444-4-2-2-2-2-2-21-411100002-2-2-2-22-1-122-1-12211-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000
χ544444-2-2-444-4-2-2-2-2-2-21-411100002-2-2-2-22-1-122-1-12211-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000
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
χ5744-4-44-204-40-424-2-42-20-222−2i22i2−2i22i204-4-22000000000-2200−2i22i2i2−i2i2i2−i2−i2−2i22i2i2−i2i2i2−i2−i20000000000000000000000000000000
χ5844-4-44-204-40-424-2-42-20-2222i2−2i22i2−2i204-4-22000000000-22002i2−2i2−i2i2−i2−i2i2i22i2−2i2−i2i2−i2−i2i2i20000000000000000000000000000000
χ5944-4-44-20-440-424-2-42-20-222−2i22i22i2−2i20-442-20000000002-200−2i22i2i2−i2i2i2−i2−i22i2−2i2−i2i2−i2−i2i2i20000000000000000000000000000000
χ6044-4-44-20-440-424-2-42-20-2222i2−2i2−2i22i20-442-20000000002-2002i2−2i2−i2i2−i2−i2i2i2−2i22i2i2−i2i2i2−i2−i20000000000000000000000000000000
χ6144-4-4-2404-402-4-242-4-20-222−2i22i2−2i22i20-224-4000000000-2200i2−i2−2i22i2i2i2−i2−i2i2−i2−2i22i2i2i2−i2−i20000000000000000000000000000000
χ6244-4-4-2404-402-4-242-4-20-2222i2−2i22i2−2i20-224-4000000000-2200−i2i22i2−2i2−i2−i2i2i2−i2i22i2−2i2−i2−i2i2i20000000000000000000000000000000
χ6344-4-4-240-4402-4-242-4-20-222−2i22i22i2−2i202-2-440000000002-200i2−i2−2i22i2i2i2−i2−i2−i2i22i2−2i2−i2−i2i2i20000000000000000000000000000000
χ6444-4-4-240-4402-4-242-4-20-2222i2−2i2−2i22i202-2-440000000002-200−i2i22i2−2i2−i2−i2i2i2i2−i2−2i22i2i2i2−i2−i20000000000000000000000000000000
χ6544-4-4-2-204-4022-2-222101-1-1−2i22i2−2i22i20-22-2203i−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
χ6644-4-4-2-204-4022-2-222101-1-1−2i22i2−2i22i20-22-220−3i3i00−3i3i001-1−3i3ii2−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
χ6744-4-4-2-204-4022-2-222101-1-12i2−2i22i2−2i20-22-2203i−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
χ6844-4-4-2-204-4022-2-222101-1-12i2−2i22i2−2i20-22-220−3i3i00−3i3i001-1−3i3i−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
χ6944-4-4-2-20-44022-2-222101-1-1−2i22i22i2−2i202-22-203i−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
χ7044-4-4-2-20-44022-2-222101-1-1−2i22i22i2−2i202-22-20−3i3i00−3i3i00-113i−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
χ7144-4-4-2-20-44022-2-222101-1-12i2−2i2−2i22i202-22-203i−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
χ7244-4-4-2-20-44022-2-222101-1-12i2−2i2−2i22i202-22-20−3i3i00−3i3i00-113i−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
χ734-44-4440000-44-4-44-440-44-400000000000000000000000000000000000000004i−4i000000000000000000000000000
χ744-44-4440000-44-4-44-440-44-40000000000000000000000000000000000000000−4i4i000000000000000000000000000
χ754-4-4444400-44-4-4-4-4440-4-44000040000444-4-4-4-400000000000000000000000000000000000000000000000000000
χ764-4-4444-40044-4-4-4-4440-4-440000-40000-4-4-4444400000000000000000000000000000000000000000000000000000
χ774-4-444-2400-442-42-4-2-2022-2000040000-2-2-2-422200000000000000000000000000000000000000000023−23000000000
χ784-4-444-2400-442-42-4-2-2022-2000040000-2-2-2-4222000000000000000000000000000000000000000000−2323000000000
χ794-4-444-2-400442-42-4-2-2022-20000-400002224-2-2-200000000000000000000000000000000000000−2i32i30000000000000
χ804-4-444-2-400442-42-4-2-2022-20000-400002224-2-2-2000000000000000000000000000000000000002i3−2i30000000000000
χ814-4-44-24400-4-2-42-424-2022-20000-200004-2-22-422000000000000000000000000000000000000−2i32i3000000000000000
χ824-4-44-24400-4-2-42-424-2022-20000-200004-2-22-4220000000000000000000000000000000000002i3−2i3000000000000000
χ834-4-44-24-4004-2-42-424-2022-2000020000-422-24-2-2000000000000000000000000000000000000000023−2300000000000
χ844-4-44-24-4004-2-42-424-2022-2000020000-422-24-2-20000000000000000000000000000000000000000−232300000000000
χ858-88-88-40000-8-4-8484-404-44000000000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-480000484-8-4-8-404-44000000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-400004-444-4420-22-200000000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000
χ888-88-8-4-400004-444-4420-22-20000000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000
χ898-8-88-4-4800-8-44444-420-2-220000-40000-42244-2-200000000000000000000000000000000000000000000000000000
χ908-8-88-4-4-8008-44444-420-2-220000400004-2-2-4-42200000000000000000000000000000000000000000000000000000

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