Finite Group Databasebeta

← Group #11817758

Character table — Group #11817758

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111111122222222222222224444444444444488888888888888888888888812121212121212121818181818181818242424242424242424242424242424242424242436363636
order122222223366666666666666344444466666661212121212121212121212121212121212121212121212122244444444444444244466661212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1111111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-111-1-1111111-1-1-1-1
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
χ5111111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-11111-1-111-1-111-1-1-1-1-1-111
χ6111111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1111111-1-1
χ7111111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-111-1-1-1-1-111111111-1-1-1-111-1-1
χ8111111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-111-1-111-1-11111-1-111
χ91111111111111111111111111-1-111-1-11111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-111-1-1
χ101111111111111111111111111-1-111-1-11111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-111-111-1-1-1-11111-1-1-1-111-1-111
χ111111111111111111111111111-1-111-1-11111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-111
χ121111111111111111111111111-1-111-1-11111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11111-1-1
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-1
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-111-1-11111
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-11111-1-1111111
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-111-1-1-1-1-1-1
χ17222222222-1222-1-1-12-1-12-12-12-1222222-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000000000002020-1-1-1-1-1-100-1-10000000000
χ18222222222-1222-1-1-12-1-12-12-12-1222222-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000000-20-2011111100110000000000
χ19222222222-1222-1-1-12-1-12-12-12-122-2-2-2-2-1-1-1-1-1-1-1221111-1-1-2-2-2-2-1-1-1-11111111122-2-200000000000020-20-1-1-1-11100110000000000
χ20222222222-1222-1-1-12-1-12-12-12-122-2-2-2-2-1-1-1-1-1-1-1221111-1-1-2-2-2-2-1-1-1-111111111-2-222000000000000-20201111-1-100-1-10000000000
χ21222222222-1222-1-1-12-1-12-12-12-1-2-222-2-2-1-1-1-1-1-1-1-2-2-1-1111122-2-21111-1-1-1-1111122-2-2000000000000-2020-1-1111100-1-10000000000
χ22222222222-1222-1-1-12-1-12-12-12-1-2-222-2-2-1-1-1-1-1-1-1-2-2-1-1111122-2-21111-1-1-1-11111-2-22200000000000020-2011-1-1-1-100110000000000
χ23222222222-1222-1-1-12-1-12-12-12-1-2-2-2-222-1-1-1-1-1-1-1-2-211-1-111-2-22211111111-1-1-1-12222000000000000-20-20-1-111-1-100110000000000
χ24222222222-1222-1-1-12-1-12-12-12-1-2-2-2-222-1-1-1-1-1-1-1-2-211-1-111-2-22211111111-1-1-1-1-2-2-2-2000000000000202011-1-11100-1-10000000000
χ2522222222-12-1-1-1222-122-12-12-1-1222222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222000000000202000000-1-100-1-1-1-1-1-10000
χ2622222222-12-1-1-1222-122-12-12-1-1222222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000000-20-200000011001111110000
χ2722222222-12-1-1-1222-122-12-12-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-2-2-2-2221111-1-1-1-111111111000022-2-200000000020-2000000-1-100-1-111110000
χ2822222222-12-1-1-1222-122-12-12-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-2-2-2-2221111-1-1-1-1111111110000-2-222000000000-202000000110011-1-1-1-10000
χ2922222222-12-1-1-1222-122-12-12-1-1-2-222-2-2-1-1-1-1-1-1-11122-2-2-2-2-1-1111111-1-1-1-11111000022-2-2000000000-2020000001100-1-1-1-1110000
χ3022222222-12-1-1-1222-122-12-12-1-1-2-222-2-2-1-1-1-1-1-1-11122-2-2-2-2-1-1111111-1-1-1-111110000-2-22200000000020-2000000-1-1001111-1-10000
χ3122222222-12-1-1-1222-122-12-12-1-1-2-2-2-222-1-1-1-1-1-1-111-2-222-2-211-1-111111111-1-1-1-100002222000000000-20-20000001100-1-111-1-10000
χ3222222222-12-1-1-1222-122-12-12-1-1-2-2-2-222-1-1-1-1-1-1-111-2-222-2-211-1-111111111-1-1-1-10000-2-2-2-2000000000202000000-1-10011-1-1110000
χ3322-22-2-22-2222-2-22-2-222-2-2-222-220000002-2-2-222-20000000000000000000000002-200002i−2i2i2i−2i−2i000000002-20000000000002i−2i0000
χ3422-22-2-22-2222-2-22-2-222-2-2-222-220000002-2-2-222-20000000000000000000000002-20000−2i2i−2i−2i2i2i000000002-2000000000000−2i2i0000
χ3522-22-2-22-2222-2-22-2-222-2-2-222-220000002-2-2-222-2000000000000000000000000-2200002i−2i−2i−2i2i2i00000000-220000000000002i−2i0000
χ3622-22-2-22-2222-2-22-2-222-2-2-222-220000002-2-2-222-2000000000000000000000000-220000−2i2i2i2i−2i−2i00000000-22000000000000−2i2i0000
χ3722-2-22-2-222222-222-2-2-22-2-2-2-222002i−2i0022-2-2-2-22002i−2i00002i−2i0000002i2i−2i−2i00000000000000002i2i−2i−2i000000000000000000002-200
χ3822-2-22-2-222222-222-2-2-22-2-2-2-222002i−2i0022-2-2-2-22002i−2i00002i−2i0000002i2i−2i−2i0000000000000000−2i−2i2i2i00000000000000000000-2200
χ3922-2-22-2-222222-222-2-2-22-2-2-2-22200−2i2i0022-2-2-2-2200−2i2i0000−2i2i000000−2i−2i2i2i00000000000000002i2i−2i−2i00000000000000000000-2200
χ4022-2-22-2-222222-222-2-2-22-2-2-2-22200−2i2i0022-2-2-2-2200−2i2i0000−2i2i000000−2i−2i2i2i0000000000000000−2i−2i2i2i000000000000000000002-200
χ412-22-22-22-222-22-2-222-22-22-22-2-2200002i−2i-222-22-2-200002i−2i00002i−2i000000002i2i−2i−2i000000002i−2i2i−2i2-22-2000000000000000000000000
χ422-22-22-22-222-22-2-222-22-22-22-2-2200002i−2i-222-22-2-200002i−2i00002i−2i000000002i2i−2i−2i00000000−2i2i−2i2i-22-22000000000000000000000000
χ432-22-22-22-222-22-2-222-22-22-22-2-220000−2i2i-222-22-2-20000−2i2i0000−2i2i00000000−2i−2i2i2i000000002i−2i2i−2i-22-22000000000000000000000000
χ442-22-22-22-222-22-2-222-22-22-22-2-220000−2i2i-222-22-2-20000−2i2i0000−2i2i00000000−2i−2i2i2i00000000−2i2i−2i2i2-22-2000000000000000000000000
χ452-2-2222-2-222-222-22-22-2-2-22-22-222-20000-22-22-22-22-200002-2000022-2-2000000000000000000002i−2i−2i2i00000000000000000000002i−2i
χ462-2-2222-2-222-222-22-22-2-2-22-22-222-20000-22-22-22-22-200002-2000022-2-200000000000000000000−2i2i2i−2i0000000000000000000000−2i2i
χ472-2-2222-2-222-222-22-22-2-2-22-22-22-220000-22-22-22-2-220000-220000-2-222000000000000000000002i−2i−2i2i0000000000000000000000−2i2i
χ482-2-2222-2-222-222-22-22-2-2-22-22-22-220000-22-22-22-2-220000-220000-2-22200000000000000000000−2i2i2i−2i00000000000000000000002i−2i
χ492-2-2-2-222222-2-22-2-2-2-222-222-222000000-2-2-222-22000000000000000000000000002-22-2002-2-220000000000002-200002-200000000
χ502-2-2-2-222222-2-22-2-2-2-222-222-222000000-2-2-222-22000000000000000000000000002-2-2200-222-20000000000002-20000-2200000000
χ512-2-2-2-222222-2-22-2-2-2-222-222-222000000-2-2-222-2200000000000000000000000000-222-200-222-2000000000000-2200002-200000000
χ522-2-2-2-222222-2-22-2-2-2-222-222-222000000-2-2-222-2200000000000000000000000000-22-22002-2-22000000000000-220000-2200000000
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
χ5444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-4-4-41111111-2-22222-2-222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ5544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-444-4-4111111122-2-22222-2-222-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000
χ5644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-44411111112222-2-22222-2-2-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000
χ57444-4-44-4-4444-444-44-4-4-444-4-4-440000004-444-4-4-40000000000000000000000000000000000000000000000000000000000000000
χ58444-4-44-4-44-24-44-22-2-4224-2-42-4-2000000-22-2-2222000000000000000000000000000000000000000000000000000023−230000000000
χ59444-4-44-4-44-24-44-22-2-4224-2-42-4-2000000-22-2-22220000000000000000000000000000000000000000000000000000−23230000000000
χ60444-4-44-4-4-24-22-24-442-4-4-242-42-2000000-22-2-222200000000000000000000000000000000000000000000000000−2i32i3000000000000
χ61444-4-44-4-4-24-22-24-442-4-4-242-42-2000000-22-2-2222000000000000000000000000000000000000000000000000002i3−2i3000000000000
χ6244-44-4-44-44-24-4-4-2224-22-424-2-4-2000000-2222-2-220000000000000000000000004-4000000000000000000-22000000000000000000
χ6344-44-4-44-44-24-4-4-2224-22-424-2-4-2000000-2222-2-22000000000000000000000000-440000000000000000002-2000000000000000000
χ6444-44-4-44-4-24-2224-4-4-24-42-4-242-2000000-2222-2-220000000000000000000000000000004i−4i00000000000000000000000000−2i2i0000
χ6544-44-4-44-4-24-2224-4-4-24-42-4-242-2000000-2222-2-22000000000000000000000000000000−4i4i000000000000000000000000002i−2i0000
χ6644-4-44-4-444-244-4-2-22-42-2-42-424-2004i−4i00-2-22222-200−2i2i00004i−4i000000−2i−2i2i2i00000000000000000000000000000000000000000000
χ6744-4-44-4-444-244-4-2-22-42-2-42-424-200−4i4i00-2-22222-2002i−2i0000−4i4i0000002i2i−2i−2i00000000000000000000000000000000000000000000
χ6844-4-44-4-44-24-2-2244-42-442-42-4-2-2004i−4i00-2-22222-2004i−4i0000−2i2i000000−2i−2i2i2i00000000000000000000000000000000000000000000
χ6944-4-44-4-44-24-2-2244-42-442-42-4-2-200−4i4i00-2-22222-200−4i4i00002i−2i0000002i2i−2i−2i00000000000000000000000000000000000000000000
χ7044-4-44-4-44-2-2-2-22-2-2222-22222-21004i−4i0011-1-1-1-1100−2i2i0000−2i2i003i−3i3i−3iii−i−i3-33-30000000000000000000000000000000000000000
χ7144-4-44-4-44-2-2-2-22-2-2222-22222-21004i−4i0011-1-1-1-1100−2i2i0000−2i2i00−3i3i−3i3iii−i−i-33-330000000000000000000000000000000000000000
χ7244-4-44-4-44-2-2-2-22-2-2222-22222-2100−4i4i0011-1-1-1-11002i−2i00002i−2i003i−3i3i−3i−i−iii-33-330000000000000000000000000000000000000000
χ7344-4-44-4-44-2-2-2-22-2-2222-22222-2100−4i4i0011-1-1-1-11002i−2i00002i−2i00−3i3i−3i3i−i−iii3-33-30000000000000000000000000000000000000000
χ744-444-4-4-4444-4-4-4-4-444-444-4-4444000000-4-44-4-4440000000000000000000000000000000000000000000000000000000000000000
χ754-444-4-4-444-2-4-4-422-242-242-4-24-200000022-222-2-20000000000000000000000000000000000000000000000−2i32i30000000000000000
χ764-444-4-4-444-2-4-4-422-242-242-4-24-200000022-222-2-200000000000000000000000000000000000000000000002i3−2i30000000000000000
χ774-444-4-4-44-24222-4-44-2-44-2-424-2-200000022-222-2-200000000000000000000000000000000000000000000000000000000−2i32i3000000
χ784-444-4-4-44-24222-4-44-2-44-2-424-2-200000022-222-2-2000000000000000000000000000000000000000000000000000000002i3−2i3000000
χ794-44-44-44-44-2-44-42-2-2-4-224242-4-200004i−4i2-2-22-2220000−2i2i00004i−4i00000000−2i−2i2i2i0000000000000000000000000000000000000000
χ804-44-44-44-44-2-44-42-2-2-4-224242-4-20000−4i4i2-2-22-22200002i−2i0000−4i4i000000002i2i−2i−2i0000000000000000000000000000000000000000
χ814-44-44-44-4-242-22-44424-4-2-4-2-42-200004i−4i2-2-22-22200004i−4i0000−2i2i00000000−2i−2i2i2i0000000000000000000000000000000000000000
χ824-44-44-44-4-242-22-44424-4-2-4-2-42-20000−4i4i2-2-22-2220000−4i4i00002i−2i000000002i2i−2i−2i0000000000000000000000000000000000000000
χ834-44-44-44-4-2-22-222-2-22-22-22-222100004i−4i-111-11-1-10000−2i2i0000−2i2i3i−3i−3i3i3-33-3ii−i−i0000000000000000000000000000000000000000
χ844-44-44-44-4-2-22-222-2-22-22-22-222100004i−4i-111-11-1-10000−2i2i0000−2i2i−3i3i3i−3i-33-33ii−i−i0000000000000000000000000000000000000000
χ854-44-44-44-4-2-22-222-2-22-22-22-22210000−4i4i-111-11-1-100002i−2i00002i−2i3i−3i−3i3i-33-33−i−iii0000000000000000000000000000000000000000
χ864-44-44-44-4-2-22-222-2-22-22-22-22210000−4i4i-111-11-1-100002i−2i00002i−2i−3i3i3i−3i3-33-3−i−iii0000000000000000000000000000000000000000
χ874-4-4444-4-44-2-4442-22422-4-2-4-2-4-24-400002-22-22-224-40000-220000-2-222000000000000000000000000000000000000000000000000
χ884-4-4444-4-44-2-4442-22422-4-2-4-2-4-2-4400002-22-22-22-4400002-2000022-2-2000000000000000000000000000000000000000000000000
χ894-4-4444-4-4-242-2-2-44-4-2-4-424242-24-400002-22-22-22-2200004-40000-2-222000000000000000000000000000000000000000000000000
χ904-4-4444-4-4-242-2-2-44-4-2-4-424242-2-4400002-22-22-222-20000-44000022-2-2000000000000000000000000000000000000000000000000
χ914-4-4444-4-4-2-22-2-22-22-2222-22-2214-40000-11-11-11-1-220000-22000011-1-13i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000
χ924-4-4444-4-4-2-22-2-22-22-2222-22-2214-40000-11-11-11-1-220000-22000011-1-1−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000
χ934-4-4444-4-4-2-22-2-22-22-2222-22-221-440000-11-11-11-12-200002-20000-1-1113i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000000000
χ944-4-4444-4-4-2-22-2-22-22-2222-22-221-440000-11-11-11-12-200002-20000-1-111−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000000000
χ954-4-4-4-44444-2-4-44222-4-2-2-4-2424-2000000222-2-22-2000000000000000000000000004-400000000000000000000-2200000000000000
χ964-4-4-4-44444-2-4-44222-4-2-2-4-2424-2000000222-2-22-200000000000000000000000000-44000000000000000000002-200000000000000
χ974-4-4-4-4444-2422-2-4-4-424424-2-4-2-2000000222-2-22-200000000000000000000000000004-4000000000000000000000000-2200000000
χ984-4-4-4-4444-2422-2-4-4-424424-2-4-2-2000000222-2-22-20000000000000000000000000000-440000000000000000000000002-200000000
χ99888-8-88-8-8-4-4-44-4-44-4444-4-444420000002-222-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ10088-88-8-88-8-4-4-444-444-4-4444-4-4420000002-2-2-222-20000000000000000000000000000000000000000000000000000000000000000
χ1018-888-8-8-88-4-444444-4-44-4-444-4-42000000-2-22-2-2220000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8-8-8888-4-444-44444-4-44-4-44-42000000-2-2-222-220000000000000000000000000000000000000000000000000000000000000000

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