Finite Group Databasebeta

← Group #11801826

Character table — Group #11801826

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11111111222244444444444444444444888888888888888888888888999999991818181818181818181818181818181818181818363636363636363636363636
order1222444422443344446666661212121212121212666612121212121212121212121212121212121212122222444422444444444444444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1−i−i−i−iiiii
χ511111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111−i−i−i−iiiii
χ811111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111iiii−i−i−i−i
χ911111111-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111
χ1111111111-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111ii−i−i−i−iii
χ1211111111-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111−i−iiiii−i−i
χ1311111111-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ1411111111-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1
χ1511111111-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1−i−iiiii−i−i
χ1611111111-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1ii−i−i−i−iii
χ171111-1-1-1-111-1-1111-11-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-11-11-11-11-11-11-1
χ181111-1-1-1-111-1-1111-11-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-1111-11-1-11-11-11-11
χ191111-1-1-1-111-1-1111-11-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111ii−i−iii−i−i−i−iii−i−iii-11-11i−ii−i−ii−ii
χ201111-1-1-1-111-1-1111-11-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111−i−iii−i−iiiii−i−iii−i−i-11-11−ii−iii−ii−i
χ211111-1-1-1-111-1-111-11-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-11-11-11-11-11-11
χ221111-1-1-1-111-1-111-11-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-11-111-11-11-11-1
χ231111-1-1-1-111-1-111-11-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111ii−i−iii−i−i−i−iii−i−iii1-11-1−ii−iii−ii−i
χ241111-1-1-1-111-1-111-11-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111−i−iii−i−iiiii−i−iii−i−i1-11-1i−ii−i−ii−ii
χ251111-1-1-1-1-1-111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-111-1-111-1-11
χ261111-1-1-1-1-1-111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11-1-11-111-1-111-1
χ271111-1-1-1-1-1-111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1ii−i−i−i−iii−i−iiiii−i−i-111-1i−i−ii−iii−i
χ281111-1-1-1-1-1-111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1−i−iiiii−i−iii−i−i−i−iii-111-1−iii−ii−i−ii
χ291111-1-1-1-1-1-11111-111-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-111-1-111-1-111-1
χ301111-1-1-1-1-1-11111-111-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-111-11-1-111-1-11
χ311111-1-1-1-1-1-11111-111-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1ii−i−i−i−iii−i−iiiii−i−i1-1-11−iii−ii−i−ii
χ321111-1-1-1-1-1-11111-111-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1−i−iiiii−i−iii−i−i−i−iii1-1-11i−i−ii−iii−i
χ3322-2-222-2-22-22-222000022-2-2-2-22222-2-2-2-222-2-222-2-2000000000000000022-2-222-2-22-22-20000000000000000000000000000
χ3422-2-222-2-22-22-222000022-2-2-2-22222-2-2-2-222-2-222-2-20000000000000000-2-222-2-222-22-220000000000000000000000000000
χ3522-2-222-2-2-22-2222000022-2-2-2-22222-2-2-2-2-2-222-2-222000000000000000022-2-222-2-2-22-220000000000000000000000000000
χ3622-2-222-2-2-22-2222000022-2-2-2-22222-2-2-2-2-2-222-2-2220000000000000000-2-222-2-2222-22-20000000000000000000000000000
χ3722-2-2-2-2222-2-2222000022-2-2-2-2-2-2-2-2222222-2-2-2-222000000000000000022-2-2-2-2222-2-220000000000000000000000000000
χ3822-2-2-2-2222-2-2222000022-2-2-2-2-2-2-2-2222222-2-2-2-2220000000000000000-2-22222-2-2-222-20000000000000000000000000000
χ3922-2-2-2-222-222-222000022-2-2-2-2-2-2-2-22222-2-22222-2-2000000000000000022-2-2-2-222-222-20000000000000000000000000000
χ4022-2-2-2-222-222-222000022-2-2-2-2-2-2-2-22222-2-22222-2-20000000000000000-2-22222-2-22-2-220000000000000000000000000000
χ412-22-22i−2i2i−2i0000220000-2-222-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000002-22-22i−2i2i−2i000000002-22i−2i00002-22i−2i000000000000
χ422-22-22i−2i2i−2i0000220000-2-222-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000002-22-22i−2i2i−2i00000000-22−2i2i0000-22−2i2i000000000000
χ432-22-22i−2i2i−2i0000220000-2-222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000-22-22−2i2i−2i2i000000002i−2i-220000−2i2i2-2000000000000
χ442-22-22i−2i2i−2i0000220000-2-222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000-22-22−2i2i−2i2i00000000−2i2i2-200002i−2i-22000000000000
χ452-22-2−2i2i−2i2i0000220000-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000002-22-2−2i2i−2i2i000000002-2−2i2i00002-2−2i2i000000000000
χ462-22-2−2i2i−2i2i0000220000-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000002-22-2−2i2i−2i2i00000000-222i−2i0000-222i−2i000000000000
χ472-22-2−2i2i−2i2i0000220000-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000-22-222i−2i2i−2i000000002i−2i2-20000−2i2i-22000000000000
χ482-22-2−2i2i−2i2i0000220000-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000-22-222i−2i2i−2i00000000−2i2i-2200002i−2i2-2000000000000
χ492-2-222i−2i−2i2i0000220000-2-2-2-2222i2i−2i−2i−2i−2i2i2i0000000000000000000000002-2-222i−2i−2i2i00002i−2i2-200002i−2i2-20000000000000000
χ502-2-222i−2i−2i2i0000220000-2-2-2-2222i2i−2i−2i−2i−2i2i2i0000000000000000000000002-2-222i−2i−2i2i0000−2i2i-220000−2i2i-220000000000000000
χ512-2-222i−2i−2i2i0000220000-2-2-2-2222i2i−2i−2i−2i−2i2i2i000000000000000000000000-222-2−2i2i2i−2i00002-2−2i2i0000-222i−2i0000000000000000
χ522-2-222i−2i−2i2i0000220000-2-2-2-2222i2i−2i−2i−2i−2i2i2i000000000000000000000000-222-2−2i2i2i−2i0000-222i−2i00002-2−2i2i0000000000000000
χ532-2-22−2i2i2i−2i0000220000-2-2-2-222−2i−2i2i2i2i2i−2i−2i0000000000000000000000002-2-22−2i2i2i−2i00002i−2i-2200002i−2i-220000000000000000
χ542-2-22−2i2i2i−2i0000220000-2-2-2-222−2i−2i2i2i2i2i−2i−2i0000000000000000000000002-2-22−2i2i2i−2i0000−2i2i2-20000−2i2i2-20000000000000000
χ552-2-22−2i2i2i−2i0000220000-2-2-2-222−2i−2i2i2i2i2i−2i−2i000000000000000000000000-222-22i−2i−2i2i00002-22i−2i0000-22−2i2i0000000000000000
χ562-2-22−2i2i2i−2i0000220000-2-2-2-222−2i−2i2i2i2i2i−2i−2i000000000000000000000000-222-22i−2i−2i2i0000-22−2i2i00002-22i−2i0000000000000000
χ574444444444441-244441-21-21-21-21-21-21-21-21-21-21-211-2-211-2-211-2-211-2-20000000000000000000000000000000000000000
χ584444444444441-2-4-4-4-41-21-21-21-21-21-21-21-21-21-21-2-1-122-1-122-1-122-1-1220000000000000000000000000000000000000000
χ59444444444444-214444-21-21-21-21-21-21-21-21-21-21-21-2-211-2-211-2-211-2-2110000000000000000000000000000000000000000
χ60444444444444-21-4-4-4-4-21-21-21-21-21-21-21-21-21-21-2122-1-122-1-122-1-122-1-10000000000000000000000000000000000000000
χ6144444444-4-4-4-41-244-4-41-21-21-21-21-21-21-2-12-12-12-1211-2-211-2-2-1-122-1-1220000000000000000000000000000000000000000
χ6244444444-4-4-4-41-2-4-4441-21-21-21-21-21-21-2-12-12-12-12-1-122-1-12211-2-211-2-20000000000000000000000000000000000000000
χ6344444444-4-4-4-4-2144-4-4-21-21-21-21-21-21-212-12-12-12-1-2-211-2-21122-1-122-1-10000000000000000000000000000000000000000
χ6444444444-4-4-4-4-21-4-444-21-21-21-21-21-21-212-12-12-12-122-1-122-1-1-2-211-2-2110000000000000000000000000000000000000000
χ654444-4-4-4-444-4-41-24-44-41-21-21-2-12-12-12-121-21-2-12-1211-2-2-1-12211-2-2-1-1220000000000000000000000000000000000000000
χ664444-4-4-4-444-4-41-2-44-441-21-21-2-12-12-12-121-21-2-12-12-1-12211-2-2-1-12211-2-20000000000000000000000000000000000000000
χ674444-4-4-4-444-4-4-214-44-4-21-21-212-12-12-12-1-21-212-12-1-2-21122-1-1-2-21122-1-10000000000000000000000000000000000000000
χ684444-4-4-4-444-4-4-21-44-44-21-21-212-12-12-12-1-21-212-12-122-1-1-2-21122-1-1-2-2110000000000000000000000000000000000000000
χ694444-4-4-4-4-4-4441-24-4-441-21-21-2-12-12-12-12-12-121-21-211-2-2-1-122-1-12211-2-20000000000000000000000000000000000000000
χ704444-4-4-4-4-4-4441-2-444-41-21-21-2-12-12-12-12-12-121-21-2-1-12211-2-211-2-2-1-1220000000000000000000000000000000000000000
χ714444-4-4-4-4-4-444-214-4-44-21-21-212-12-12-12-12-12-1-21-21-2-21122-1-122-1-1-2-2110000000000000000000000000000000000000000
χ724444-4-4-4-4-4-444-21-444-4-21-21-212-12-12-12-12-12-1-21-2122-1-1-2-211-2-21122-1-10000000000000000000000000000000000000000
χ7344-4-444-4-44-44-41-200001-2-12-121-21-2-12-121-2-121-2-123i−3i003i−3i003i−3i003i−3i000000000000000000000000000000000000000000
χ7444-4-444-4-44-44-41-200001-2-12-121-21-2-12-121-2-121-2-12−3i3i00−3i3i00−3i3i00−3i3i000000000000000000000000000000000000000000
χ7544-4-444-4-44-44-4-210000-212-12-1-21-212-12-1-212-1-212-1003i−3i003i−3i003i−3i003i−3i0000000000000000000000000000000000000000
χ7644-4-444-4-44-44-4-210000-212-12-1-21-212-12-1-212-1-212-100−3i3i00−3i3i00−3i3i00−3i3i0000000000000000000000000000000000000000
χ7744-4-444-4-4-44-441-200001-2-12-121-21-2-12-12-121-2-121-23i−3i003i−3i00−3i3i00−3i3i000000000000000000000000000000000000000000
χ7844-4-444-4-4-44-441-200001-2-12-121-21-2-12-12-121-2-121-2−3i3i00−3i3i003i−3i003i−3i000000000000000000000000000000000000000000
χ7944-4-444-4-4-44-44-210000-212-12-1-21-212-12-12-1-212-1-21003i−3i003i−3i00−3i3i00−3i3i0000000000000000000000000000000000000000
χ8044-4-444-4-4-44-44-210000-212-12-1-21-212-12-12-1-212-1-2100−3i3i00−3i3i003i−3i003i−3i0000000000000000000000000000000000000000
χ8144-4-4-4-4444-4-441-200001-2-12-12-12-121-21-21-2-12-121-23i−3i00−3i3i003i−3i00−3i3i000000000000000000000000000000000000000000
χ8244-4-4-4-4444-4-441-200001-2-12-12-12-121-21-21-2-12-121-2−3i3i003i−3i00−3i3i003i−3i000000000000000000000000000000000000000000
χ8344-4-4-4-4444-4-44-210000-212-12-12-12-1-21-21-212-12-1-21003i−3i00−3i3i003i−3i00−3i3i0000000000000000000000000000000000000000
χ8444-4-4-4-4444-4-44-210000-212-12-12-12-1-21-21-212-12-1-2100−3i3i003i−3i00−3i3i003i−3i0000000000000000000000000000000000000000
χ8544-4-4-4-444-444-41-200001-2-12-12-12-121-21-2-121-21-2-123i−3i00−3i3i00−3i3i003i−3i000000000000000000000000000000000000000000
χ8644-4-4-4-444-444-41-200001-2-12-12-12-121-21-2-121-21-2-12−3i3i003i−3i003i−3i00−3i3i000000000000000000000000000000000000000000
χ8744-4-4-4-444-444-4-210000-212-12-12-12-1-21-212-1-21-212-1003i−3i00−3i3i00−3i3i003i−3i0000000000000000000000000000000000000000
χ8844-4-4-4-444-444-4-210000-212-12-12-12-1-21-212-1-21-212-100−3i3i003i−3i003i−3i00−3i3i0000000000000000000000000000000000000000
χ898-88-88i−8i8i−8i00002-40000-242-4-242i−4i−2i4i2i−4i−2i4i0000000000000000000000000000000000000000000000000000000000000000
χ908-88-88i−8i8i−8i0000-4200004-2-424-2−4i2i4i−2i−4i2i4i−2i0000000000000000000000000000000000000000000000000000000000000000
χ918-88-8−8i8i−8i8i00002-40000-242-4-24−2i4i2i−4i−2i4i2i−4i0000000000000000000000000000000000000000000000000000000000000000
χ928-88-8−8i8i−8i8i0000-4200004-2-424-24i−2i−4i2i4i−2i−4i2i0000000000000000000000000000000000000000000000000000000000000000
χ938-8-888i−8i−8i8i00002-40000-24-242-42i−4i−2i4i−2i4i2i−4i0000000000000000000000000000000000000000000000000000000000000000
χ948-8-888i−8i−8i8i0000-4200004-24-2-42−4i2i4i−2i4i−2i−4i2i0000000000000000000000000000000000000000000000000000000000000000
χ958-8-88−8i8i8i−8i00002-40000-24-242-4−2i4i2i−4i2i−4i−2i4i0000000000000000000000000000000000000000000000000000000000000000
χ968-8-88−8i8i8i−8i0000-4200004-24-2-424i−2i−4i2i−4i2i4i−2i0000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).