Finite Group Databasebeta

← Group #11819163

Character table — Group #11819163

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111111122222222222222224444444444444488888888888888888888888812121212121212121818181818181818242424242424242424242424242424242424242436363636
order1222222233666666666666663444444666666612121212121212121212121212121212121212121212121244444444222244444444121212121212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-11111-1-1-1-111-1-111-1-1-1-111
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-11111-1-1
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-111-1-1
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11-1-1-1-11111-1-111-1-111-1-111
χ91111111111111111111111111-1-111-1-11111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-111-1-111-1-1-1-11111-1-1
χ101111111111111111111111111-1-111-1-11111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-111
χ111111111111111111111111111-1-111-1-11111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-111-1-111
χ121111111111111111111111111-1-111-1-11111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-111-1-111-1-11111-1-111-1-1
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-1-1-111111111
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11-11-1-1-11111-1-11111-1-1-1-11111
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1
χ17222222222-1222-1-1-122-1-1-1-122-1222222-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122002200000000002020-1-1-1-1-1-1-1-1000000000000
χ18222222222-1222-1-1-122-1-1-1-122-1222222-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20000000000-20-2011111111000000000000
χ19222222222-1222-1-1-122-1-1-1-122-122-2-2-2-2-1-1-1-1-1-1-122-1-11111-2-2-2-2-1-1-1-1111111112200-2-20000000000-2020-1-1-1-11111000000000000
χ20222222222-1222-1-1-122-1-1-1-122-122-2-2-2-2-1-1-1-1-1-1-122-1-11111-2-2-2-2-1-1-1-111111111-2-20022000000000020-201111-1-1-1-1000000000000
χ21222222222-1222-1-1-122-1-1-1-122-1-2-222-2-2-1-1-1-1-1-1-1-2-211-1-11122-2-21111-1-1-1-111112200-2-2000000000020-20-1-111-1-111000000000000
χ22222222222-1222-1-1-122-1-1-1-122-1-2-222-2-2-1-1-1-1-1-1-1-2-211-1-11122-2-21111-1-1-1-11111-2-200220000000000-202011-1-111-1-1000000000000
χ23222222222-1222-1-1-122-1-1-1-122-1-2-2-2-222-1-1-1-1-1-1-1-2-21111-1-1-2-22211111111-1-1-1-12200220000000000-20-20-1-11111-1-1000000000000
χ24222222222-1222-1-1-122-1-1-1-122-1-2-2-2-222-1-1-1-1-1-1-1-2-21111-1-1-2-22211111111-1-1-1-1-2-200-2-20000000000202011-1-1-1-111000000000000
χ2522222222-12-1-1-1222-1-12222-1-1-1222222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022002200000000020200000000-1-1-1-1-1-1-1-10000
χ2622222222-12-1-1-1222-1-12222-1-1-1222222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000000-20-200000000111111110000
χ2722222222-12-1-1-1222-1-12222-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-122-2-2-2-21111-1-1-1-111111111002200-2-200000000020-200000000-1-111-1-1110000
χ2822222222-12-1-1-1222-1-12222-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-122-2-2-2-21111-1-1-1-11111111100-2-20022000000000-2020000000011-1-111-1-10000
χ2922222222-12-1-1-1222-1-12222-1-1-1-2-222-2-2-1-1-1-1-1-1-111-2-222-2-2-1-1111111-1-1-1-11111002200-2-2000000000-20200000000-1-11111-1-10000
χ3022222222-12-1-1-1222-1-12222-1-1-1-2-222-2-2-1-1-1-1-1-1-111-2-222-2-2-1-1111111-1-1-1-1111100-2-2002200000000020-20000000011-1-1-1-1110000
χ3122222222-12-1-1-1222-1-12222-1-1-1-2-2-2-222-1-1-1-1-1-1-111-2-2-2-22211-1-111111111-1-1-1-100220022000000000-20-200000000-1-1-1-111110000
χ3222222222-12-1-1-1222-1-12222-1-1-1-2-2-2-222-1-1-1-1-1-1-111-2-2-2-22211-1-111111111-1-1-1-100-2-200-2-2000000000202000000001111-1-1-1-10000
χ3322-2-22-2-2222-2-222-2-22222-2-2-2-22002i−2i0022-2-22-2-200002i−2i002i−2i0000002i2i−2i−2i00000000000022-2-20000000000000000000000002i−2i00
χ3422-2-22-2-2222-2-222-2-22222-2-2-2-22002i−2i0022-2-22-2-200002i−2i002i−2i0000002i2i−2i−2i000000000000-2-222000000000000000000000000−2i2i00
χ3522-2-22-2-2222-2-222-2-22222-2-2-2-2200−2i2i0022-2-22-2-20000−2i2i00−2i2i000000−2i−2i2i2i00000000000022-2-2000000000000000000000000−2i2i00
χ3622-2-22-2-2222-2-222-2-22222-2-2-2-2200−2i2i0022-2-22-2-20000−2i2i00−2i2i000000−2i−2i2i2i000000000000-2-2220000000000000000000000002i−2i00
χ3722-2-2-222-2222-2222-2-2-2-2-22-22-22000000-2-22-222-2000000000000000000000000002i−2i2i−2i00000022-2-200000000002i−2i2i−2i0000000000
χ3822-2-2-222-2222-2222-2-2-2-2-22-22-22000000-2-22-222-2000000000000000000000000002i−2i−2i2i000000-2-2220000000000−2i2i2i−2i0000000000
χ3922-2-2-222-2222-2222-2-2-2-2-22-22-22000000-2-22-222-200000000000000000000000000−2i2i2i−2i000000-2-22200000000002i−2i−2i2i0000000000
χ4022-2-2-222-2222-2222-2-2-2-2-22-22-22000000-2-22-222-200000000000000000000000000−2i2i−2i2i00000022-2-20000000000−2i2i−2i2i0000000000
χ412-22-22-22-222-22-2-22-22-22-2-222-222i−2i00002-2-22-22-22i−2i2i−2i000000002i2i−2i−2i00000000000000002-22-2000000000000000000000000002i−2i
χ422-22-22-22-222-22-2-22-22-22-2-222-222i−2i00002-2-22-22-22i−2i2i−2i000000002i2i−2i−2i0000000000000000-22-2200000000000000000000000000−2i2i
χ432-22-22-22-222-22-2-22-22-22-2-222-22−2i2i00002-2-22-22-2−2i2i−2i2i00000000−2i−2i2i2i00000000000000002-22-200000000000000000000000000−2i2i
χ442-22-22-22-222-22-2-22-22-22-2-222-22−2i2i00002-2-22-22-2−2i2i−2i2i00000000−2i−2i2i2i0000000000000000-22-22000000000000000000000000002i−2i
χ452-22-2-22-222222-2-2-2-2-22-2222-2-22000000-2222-2-2-20000000000000000000000002i−2i00002-200002i−2i2i−2i00002i−2i000000002-200000000
χ462-22-2-22-222222-2-2-2-2-22-2222-2-22000000-2222-2-2-20000000000000000000000002i−2i0000-220000−2i2i−2i2i00002i−2i00000000-2200000000
χ472-22-2-22-222222-2-2-2-2-22-2222-2-22000000-2222-2-2-2000000000000000000000000−2i2i00002-20000−2i2i−2i2i0000−2i2i000000002-200000000
χ482-22-2-22-222222-2-2-2-2-22-2222-2-22000000-2222-2-2-2000000000000000000000000−2i2i0000-2200002i−2i2i−2i0000−2i2i00000000-2200000000
χ492-2-2222-2-2222-2-2-2-222-22-22-2-22200002i−2i2-22-2-2-220000002i−2i002i−2i000000002i2i−2i−2i000000002-2-222i−2i−2i2i000000000000000000000000
χ502-2-2222-2-2222-2-2-2-222-22-22-2-22200002i−2i2-22-2-2-220000002i−2i002i−2i000000002i2i−2i−2i00000000-222-2−2i2i2i−2i000000000000000000000000
χ512-2-2222-2-2222-2-2-2-222-22-22-2-2220000−2i2i2-22-2-2-22000000−2i2i00−2i2i00000000−2i−2i2i2i000000002-2-22−2i2i2i−2i000000000000000000000000
χ522-2-2222-2-2222-2-2-2-222-22-22-2-2220000−2i2i2-22-2-2-22000000−2i2i00−2i2i00000000−2i−2i2i2i00000000-222-22i−2i−2i2i000000000000000000000000
χ5344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-214444441111111-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000000
χ5444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-4-4-41111111-2-2-2-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ5544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-444-4-411111112222-2-222-2-222-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000
χ5644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4441111111222222-2-222-2-2-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000
χ574444-4-4-4-444-4444-44-4-4-4-4-44-444000000-4-4-444-440000000000000000000000000000000000000000000000000000000000000000
χ584444-4-4-4-44-2-444-22-2-4-4222-2-44-2000000222-2-22-2000000000000000000000000000000000000000000000023−230000000000000000
χ594444-4-4-4-44-2-444-22-2-4-4222-2-44-2000000222-2-22-20000000000000000000000000000000000000000000000−23230000000000000000
χ604444-4-4-4-4-242-2-24-4422-4-4-442-2-2000000222-2-22-2000000000000000000000000000000000000000000000000000000000023−230000
χ614444-4-4-4-4-242-2-24-4422-4-4-442-2-2000000222-2-22-20000000000000000000000000000000000000000000000000000000000−23230000
χ6244-4-44-4-444-2-4-44-22244-2-222-4-4-2004i−4i00-2-222-2220000−2i2i004i−4i000000−2i−2i2i2i00000000000000000000000000000000000000000000
χ6344-4-44-4-444-2-4-44-22244-2-222-4-4-200−4i4i00-2-222-22200002i−2i00−4i4i0000002i2i−2i−2i00000000000000000000000000000000000000000000
χ6444-4-44-4-44-2422-24-4-4-2-244-4-422-2004i−4i00-2-222-22200004i−4i00−2i2i000000−2i−2i2i2i00000000000000000000000000000000000000000000
χ6544-4-44-4-44-2422-24-4-4-2-244-4-422-200−4i4i00-2-222-2220000−4i4i002i−2i0000002i2i−2i−2i00000000000000000000000000000000000000000000
χ6644-4-44-4-44-2-222-2-222-2-2-2-222221004i−4i0011-1-11-1-10000−2i2i00−2i2i003-33-3ii−i−i3i−3i3i−3i0000000000000000000000000000000000000000
χ6744-4-44-4-44-2-222-2-222-2-2-2-222221004i−4i0011-1-11-1-10000−2i2i00−2i2i00-33-33ii−i−i−3i3i−3i3i0000000000000000000000000000000000000000
χ6844-4-44-4-44-2-222-2-222-2-2-2-22222100−4i4i0011-1-11-1-100002i−2i002i−2i003-33-3−i−iii−3i3i−3i3i0000000000000000000000000000000000000000
χ6944-4-44-4-44-2-222-2-222-2-2-2-22222100−4i4i0011-1-11-1-100002i−2i002i−2i00-33-33−i−iii3i−3i3i−3i0000000000000000000000000000000000000000
χ7044-4-4-444-44-24-44-2-22-4-422-224-4-200000022-22-2-2200000000000000000000000000004i−4i00000000000000000000−2i2i000000000000
χ7144-4-4-444-44-24-44-2-22-4-422-224-4-200000022-22-2-220000000000000000000000000000−4i4i000000000000000000002i−2i000000000000
χ7244-4-4-444-4-24-22-244-422-4-44-4-22-200000022-22-2-22000000000000000000000000004i−4i000000000000000000000000−2i2i0000000000
χ7344-4-4-444-4-24-22-244-422-4-44-4-22-200000022-22-2-2200000000000000000000000000−4i4i0000000000000000000000002i−2i0000000000
χ744-44-44-44-44-2-44-42-224-4-222-24-4-24i−4i0000-222-22-224i−4i−2i2i00000000−2i−2i2i2i000000000000000000000000000000000000000000000000
χ754-44-44-44-44-2-44-42-224-4-222-24-4-2−4i4i0000-222-22-22−4i4i2i−2i000000002i2i−2i−2i000000000000000000000000000000000000000000000000
χ764-44-44-44-4-242-22-44-4-224-4-44-22-24i−4i0000-222-22-22−2i2i4i−4i00000000−2i−2i2i2i000000000000000000000000000000000000000000000000
χ774-44-44-44-4-242-22-44-4-224-4-44-22-2−4i4i0000-222-22-222i−2i−4i4i000000002i2i−2i−2i000000000000000000000000000000000000000000000000
χ784-44-44-44-4-2-22-222-22-22-222-2-2214i−4i00001-1-11-11-1−2i2i−2i2i00000000ii−i−i3i−3i3i−3i3-3-330000000000000000000000000000000000000000
χ794-44-44-44-4-2-22-222-22-22-222-2-2214i−4i00001-1-11-11-1−2i2i−2i2i00000000ii−i−i−3i3i−3i3i-333-30000000000000000000000000000000000000000
χ804-44-44-44-4-2-22-222-22-22-222-2-221−4i4i00001-1-11-11-12i−2i2i−2i00000000−i−iii3i−3i3i−3i-333-30000000000000000000000000000000000000000
χ814-44-44-44-4-2-22-222-22-22-222-2-221−4i4i00001-1-11-11-12i−2i2i−2i00000000−i−iii−3i3i−3i3i3-3-330000000000000000000000000000000000000000
χ824-44-4-44-444-244-4222-442-2-2-2-4-4-20000002-2-2-22220000000000000000000000004i−4i000000000000000000−2i2i000000000000000000
χ834-44-4-44-444-244-4222-442-2-2-2-4-4-20000002-2-2-2222000000000000000000000000−4i4i0000000000000000002i−2i000000000000000000
χ844-44-4-44-44-24-2-22-4-4-42-2-444422-20000002-2-2-22220000000000000000000000000000004-40000000000000000000000-2200000000
χ854-44-4-44-44-24-2-22-4-4-42-2-444422-20000002-2-2-2222000000000000000000000000000000-4400000000000000000000002-200000000
χ864-4-4444-4-44-24-4-422-24-4-22-22-44-200004i−4i-22-2222-2000000−2i2i004i−4i00000000−2i−2i2i2i0000000000000000000000000000000000000000
χ874-4-4444-4-44-24-4-422-24-4-22-22-44-20000−4i4i-22-2222-20000002i−2i00−4i4i000000002i2i−2i−2i0000000000000000000000000000000000000000
χ884-4-4444-4-4-24-222-4-44-224-44-42-2-200004i−4i-22-2222-20000004i−4i00−2i2i00000000−2i−2i2i2i0000000000000000000000000000000000000000
χ894-4-4444-4-4-24-222-4-44-224-44-42-2-20000−4i4i-22-2222-2000000−4i4i002i−2i000000002i2i−2i−2i0000000000000000000000000000000000000000
χ904-4-4444-4-4-2-2-22222-2-22-22-222-2100004i−4i1-11-1-1-11000000−2i2i00−2i2i3i−3i−3i3i-333-3ii−i−i0000000000000000000000000000000000000000
χ914-4-4444-4-4-2-2-22222-2-22-22-222-2100004i−4i1-11-1-1-11000000−2i2i00−2i2i−3i3i3i−3i3-3-33ii−i−i0000000000000000000000000000000000000000
χ924-4-4444-4-4-2-2-22222-2-22-22-222-210000−4i4i1-11-1-1-110000002i−2i002i−2i3i−3i−3i3i3-3-33−i−iii0000000000000000000000000000000000000000
χ934-4-4444-4-4-2-2-22222-2-22-22-222-210000−4i4i1-11-1-1-110000002i−2i002i−2i−3i3i3i−3i-333-3−i−iii0000000000000000000000000000000000000000
χ944-4-44-4-44444-4-4-4-444-44-44-4-4444000000-44-4-4-4440000000000000000000000000000000000000000000000000000000000000000
χ954-4-44-4-4444-2-4-4-42-2-2-442-22244-20000002-2222-2-200000000000000000000000000000000000000000000000023−2300000000000000
χ964-4-44-4-4444-2-4-4-42-2-2-442-22244-20000002-2222-2-2000000000000000000000000000000000000000000000000−232300000000000000
χ974-4-44-4-444-24222-4442-2-44-4-4-2-2-20000002-2222-2-200000000000000000000000000000000000000000000000000000000−2i32i3000000
χ984-4-44-4-444-24222-4442-2-44-4-4-2-2-20000002-2222-2-2000000000000000000000000000000000000000000000000000000002i3−2i3000000
χ998888-8-8-8-8-4-44-4-4-44-444444-44-42000000-2-2-222-220000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-888-8-4-4-44-4-4-444444-44-442000000-2-22-222-20000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-88-88-4-4-4-444444-44-4-4-4442000000-2222-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-8-888-4-44444-4-44-44-444-4-42000000-22-2-2-2220000000000000000000000000000000000000000000000000000000000000000

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