Finite Group Databasebeta

← Group #11819103

Character table — Group #11819103

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111111122222222222222224444444444444488888888888888888888888812121212121212121818181818181818242424242424242424242424242424242424242436363636
order1222222233666666666666663444444666666612121212121212121212121212121212121212121212121244444444444444444444121212121212121212121212121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-11111-1-1-1-1
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
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111-1-1-1-1111111
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-11111-1-11111
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111-1-111-1-1-1-1
χ91111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-111
χ101111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-11-1-1111-1-111-1-1-1-1-1-1111111-1-1
χ111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-111-1-1-111-1-1111111-1-1-1-111-1-1
χ121111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-111
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-11111-1-1
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-111-111-1-1-1-111-1-11111-1-1-1-111
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-11-1-11-1-11111-1-111-1-1-1-111-1-111
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-111-1-1
χ17222222222-122-1-122-1-12-12-12-1-1222222-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10022002200000000020200-1-100-1-10000-1-1-1-10000
χ18222222222-122-1-122-1-12-12-12-1-1222222-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000000-20-200110011000011110000
χ19222222222-122-1-122-1-12-12-12-1-122-2-2-2-2-1-1-1-1-1-1-122-1-1-2-211-2-211-1-1-1-11111111100220022000000000-20-200-1-100110000-1-1110000
χ20222222222-122-1-122-1-12-12-12-1-122-2-2-2-2-1-1-1-1-1-1-122-1-1-2-211-2-211-1-1-1-11111111100-2-200-2-2000000000202001100-1-1000011-1-10000
χ21222222222-122-1-122-1-12-12-12-1-1-2-222-2-2-1-1-1-1-1-1-1-2-21122-1-1-2-2111111-1-1-1-11111002200-2-200000000020-200-1-100-1-1000011110000
χ22222222222-122-1-122-1-12-12-12-1-1-2-222-2-2-1-1-1-1-1-1-1-2-21122-1-1-2-2111111-1-1-1-1111100-2-20022000000000-202001100110000-1-1-1-10000
χ23222222222-122-1-122-1-12-12-12-1-1-2-2-2-222-1-1-1-1-1-1-1-2-211-2-21122-1-111111111-1-1-1-1002200-2-2000000000-20200-1-10011000011-1-10000
χ24222222222-122-1-122-1-12-12-12-1-1-2-2-2-222-1-1-1-1-1-1-1-2-211-2-21122-1-111111111-1-1-1-100-2-2002200000000020-2001100-1-10000-1-1110000
χ2522222222-12-1-122-1-122-12-12-12-1222222-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122002200000000002020-1-100-1-100-1-1-1-100000000
χ2622222222-12-1-122-1-122-12-12-12-1222222-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20000000000-20-2011001100111100000000
χ2722222222-12-1-122-1-122-12-12-12-122-2-2-2-2-1-1-1-1-1-1-1-1-12211-2-211-2-2-1-1-1-1111111112200220000000000-20-20-1-1001100-1-11100000000
χ2822222222-12-1-122-1-122-12-12-12-122-2-2-2-2-1-1-1-1-1-1-1-1-12211-2-211-2-2-1-1-1-111111111-2-200-2-2000000000020201100-1-10011-1-100000000
χ2922222222-12-1-122-1-122-12-12-12-1-2-222-2-2-1-1-1-1-1-1-111-2-2-1-12211-2-21111-1-1-1-111112200-2-2000000000020-20-1-100-1-100111100000000
χ3022222222-12-1-122-1-122-12-12-12-1-2-222-2-2-1-1-1-1-1-1-111-2-2-1-12211-2-21111-1-1-1-11111-2-200220000000000-202011001100-1-1-1-100000000
χ3122222222-12-1-122-1-122-12-12-12-1-2-2-2-222-1-1-1-1-1-1-111-2-211-2-2-1-12211111111-1-1-1-12200-2-20000000000-2020-1-100110011-1-100000000
χ3222222222-12-1-122-1-122-12-12-12-1-2-2-2-222-1-1-1-1-1-1-111-2-211-2-2-1-12211111111-1-1-1-1-2-20022000000000020-201100-1-100-1-11100000000
χ33222-2-22-2-22222222-22-2-2-2-2-2-2-22002-20022-2-22-2-200002-22-20000000022-2-200000000000022-2-20000000000000000000000002-200
χ34222-2-22-2-22222222-22-2-2-2-2-2-2-22002-20022-2-22-2-200002-22-20000000022-2-2000000000000-2-222000000000000000000000000-2200
χ35222-2-22-2-22222222-22-2-2-2-2-2-2-2200-220022-2-22-2-20000-22-2200000000-2-22200000000000022-2-2000000000000000000000000-2200
χ36222-2-22-2-22222222-22-2-2-2-2-2-2-2200-220022-2-22-2-20000-22-2200000000-2-222000000000000-2-2220000000000000000000000002-200
χ3722-22-2-2-22222-22-2-22-22-2-2-2-222200002i−2i2-22-2-22-2000000002i−2i2i−2i000000002i2i−2i−2i000000002i−2i2i−2i000000000000000000000000002-2
χ3822-22-2-2-22222-22-2-22-22-2-2-2-222200002i−2i2-22-2-22-2000000002i−2i2i−2i000000002i2i−2i−2i00000000−2i2i−2i2i00000000000000000000000000-22
χ3922-22-2-2-22222-22-2-22-22-2-2-2-22220000−2i2i2-22-2-22-200000000−2i2i−2i2i00000000−2i−2i2i2i000000002i−2i2i−2i00000000000000000000000000-22
χ4022-22-2-2-22222-22-2-22-22-2-2-2-22220000−2i2i2-22-2-22-200000000−2i2i−2i2i00000000−2i−2i2i2i00000000−2i2i−2i2i000000000000000000000000002-2
χ4122-2-22-22-2222-22-2-2-2-2-22222-2-222i−2i00002-2-22-2-222i−2i2i−2i000000002i2i−2i−2i00000000000000002i−2i−2i2i22-2-2000000000000000000000000
χ4222-2-22-22-2222-22-2-2-2-2-22222-2-222i−2i00002-2-22-2-222i−2i2i−2i000000002i2i−2i−2i0000000000000000−2i2i2i−2i-2-222000000000000000000000000
χ4322-2-22-22-2222-22-2-2-2-2-22222-2-22−2i2i00002-2-22-2-22−2i2i−2i2i00000000−2i−2i2i2i00000000000000002i−2i−2i2i-2-222000000000000000000000000
χ4422-2-22-22-2222-22-2-2-2-2-22222-2-22−2i2i00002-2-22-2-22−2i2i−2i2i00000000−2i−2i2i2i0000000000000000−2i2i2i−2i22-2-2000000000000000000000000
χ452-22-2-2-22222-2-2-2-22-22-2-2-222222000000-2-22-22-2200000000000000000000000000002-22-200002-22-20000000000002-2002-2000000
χ462-22-2-2-22222-2-2-2-22-22-2-2-222222000000-2-22-22-2200000000000000000000000000002-2-220000-22-220000000000002-200-22000000
χ472-22-2-2-22222-2-2-2-22-22-2-2-222222000000-2-22-22-220000000000000000000000000000-222-20000-22-22000000000000-22002-2000000
χ482-22-2-2-22222-2-2-2-22-22-2-2-222222000000-2-22-22-220000000000000000000000000000-22-2200002-22-2000000000000-2200-22000000
χ492-2-22-222-222-22-22-22-22-2-222-2-22000000-22-2-2-2220000000000000000000000002i−2i2i−2i000000002-2-2200002i−2i2i−2i0000000000000000
χ502-2-22-222-222-22-22-22-22-2-222-2-22000000-22-2-2-2220000000000000000000000002i−2i−2i2i00000000-222-200002i−2i−2i2i0000000000000000
χ512-2-22-222-222-22-22-22-22-2-222-2-22000000-22-2-2-222000000000000000000000000−2i2i2i−2i00000000-222-20000−2i2i2i−2i0000000000000000
χ522-2-22-222-222-22-22-22-22-2-222-2-22000000-22-2-2-222000000000000000000000000−2i2i−2i2i000000002-2-220000−2i2i−2i2i0000000000000000
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
χ5544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-444-4-411111112222-2-2-2-22222-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000
χ5644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-444111111122222222-2-2-2-2-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000
χ57444-4-44-4-44-244-2-24-4-22-42-42-42-2004-400-2-222-22200004-4-2200000000-2-22200000000000000000000000000000000000000000000
χ58444-4-44-4-44-244-2-24-4-22-42-42-42-200-4400-2-222-2220000-442-20000000022-2-200000000000000000000000000000000000000000000
χ59444-4-44-4-4-24-2-244-224-42-42-42-4-2004-400-2-222-2220000-224-400000000-2-22200000000000000000000000000000000000000000000
χ60444-4-44-4-4-24-2-244-224-42-42-42-4-200-4400-2-222-22200002-2-440000000022-2-200000000000000000000000000000000000000000000
χ61444-4-44-4-4-2-2-2-2-2-2-22-222222221004-40011-1-11-1-10000-22-2200003i−3i3i−3i11-1-13i−3i3i−3i0000000000000000000000000000000000000000
χ62444-4-44-4-4-2-2-2-2-2-2-22-222222221004-40011-1-11-1-10000-22-220000−3i3i−3i3i11-1-1−3i3i−3i3i0000000000000000000000000000000000000000
χ63444-4-44-4-4-2-2-2-2-2-2-22-22222222100-440011-1-11-1-100002-22-200003i−3i3i−3i-1-111−3i3i−3i3i0000000000000000000000000000000000000000
χ64444-4-44-4-4-2-2-2-2-2-2-22-22222222100-440011-1-11-1-100002-22-20000−3i3i−3i3i-1-1113i−3i3i−3i0000000000000000000000000000000000000000
χ6544-44-4-4-444-24-4-22-442-2-42-424-2-200004i−4i-22-222-22000000004i−4i−2i2i00000000−2i−2i2i2i0000000000000000000000000000000000000000
χ6644-44-4-4-444-24-4-22-442-2-42-424-2-20000−4i4i-22-222-2200000000−4i4i2i−2i000000002i2i−2i−2i0000000000000000000000000000000000000000
χ6744-44-4-4-44-24-224-42-2-442-42-4-24-200004i−4i-22-222-2200000000−2i2i4i−4i00000000−2i−2i2i2i0000000000000000000000000000000000000000
χ6844-44-4-4-44-24-224-42-2-442-42-4-24-20000−4i4i-22-222-22000000002i−2i−4i4i000000002i2i−2i−2i0000000000000000000000000000000000000000
χ6944-44-4-4-44-2-2-22-222-22-22222-2-2100004i−4i1-11-1-11-100000000−2i2i−2i2i3-3-333i−3i3i−3iii−i−i0000000000000000000000000000000000000000
χ7044-44-4-4-44-2-2-22-222-22-22222-2-2100004i−4i1-11-1-11-100000000−2i2i−2i2i-333-3−3i3i−3i3iii−i−i0000000000000000000000000000000000000000
χ7144-44-4-4-44-2-2-22-222-22-22222-2-210000−4i4i1-11-1-11-1000000002i−2i2i−2i3-3-33−3i3i−3i3i−i−iii0000000000000000000000000000000000000000
χ7244-44-4-4-44-2-2-22-222-22-22222-2-210000−4i4i1-11-1-11-1000000002i−2i2i−2i-333-33i−3i3i−3i−i−iii0000000000000000000000000000000000000000
χ7344-4-44-44-44-24-4-22-4-4224-24-2-42-24i−4i0000-222-222-24i−4i−2i2i00000000−2i−2i2i2i000000000000000000000000000000000000000000000000
χ7444-4-44-44-44-24-4-22-4-4224-24-2-42-2−4i4i0000-222-222-2−4i4i2i−2i000000002i2i−2i−2i000000000000000000000000000000000000000000000000
χ7544-4-44-44-4-24-224-422-4-4-24-242-4-24i−4i0000-222-222-2−2i2i4i−4i00000000−2i−2i2i2i000000000000000000000000000000000000000000000000
χ7644-4-44-44-4-24-224-422-4-4-24-242-4-2−4i4i0000-222-222-22i−2i−4i4i000000002i2i−2i−2i000000000000000000000000000000000000000000000000
χ7744-4-44-44-4-2-2-22-222222-2-2-2-22214i−4i00001-1-11-1-11−2i2i−2i2i00000000ii−i−i3i−3i−3i3i-333-30000000000000000000000000000000000000000
χ7844-4-44-44-4-2-2-22-222222-2-2-2-22214i−4i00001-1-11-1-11−2i2i−2i2i00000000ii−i−i−3i3i3i−3i3-3-330000000000000000000000000000000000000000
χ7944-4-44-44-4-2-2-22-222222-2-2-2-2221−4i4i00001-1-11-1-112i−2i2i−2i00000000−i−iii3i−3i−3i3i3-3-330000000000000000000000000000000000000000
χ8044-4-44-44-4-2-2-22-222222-2-2-2-2221−4i4i00001-1-11-1-112i−2i2i−2i00000000−i−iii−3i3i3i−3i-333-30000000000000000000000000000000000000000
χ814-4444-4-4-444-4-4-4-4444444-4-4-4-44000000-4-4-4444-40000000000000000000000000000000000000000000000000000000000000000
χ824-4444-4-4-44-2-4-42244-2-24-2-42-42-2000000222-2-2-22000000000000000000000000000000000000000000000000000000000023−230000
χ834-4444-4-4-44-2-4-42244-2-24-2-42-42-2000000222-2-2-220000000000000000000000000000000000000000000000000000000000−23230000
χ844-4444-4-4-4-2422-4-4-2-244-242-42-4-2000000222-2-2-2200000000000000000000000000000000000000000000000000000023−2300000000
χ854-4444-4-4-4-2422-4-4-2-244-242-42-4-2000000222-2-2-22000000000000000000000000000000000000000000000000000000−232300000000
χ864-44-4-4-4444-2-4-4224-4-22-424-24-2-200000022-22-22-20000000000000000000000000000004-4000000000000000000000000-22000000
χ874-44-4-4-4444-2-4-4224-4-22-424-24-2-200000022-22-22-2000000000000000000000000000000-440000000000000000000000002-2000000
χ884-44-4-4-444-2422-4-4-224-42-4-24-24-200000022-22-22-200000000000000000000000000004-40000000000000000000000-220000000000
χ894-44-4-4-444-2422-4-4-224-42-4-24-24-200000022-22-22-20000000000000000000000000000-4400000000000000000000002-20000000000
χ904-4-44-444-44-2-442-2-442-2-424-2-42-20000002-2222-2-2000000000000000000000000004i−4i000000000000000000−2i2i0000000000000000
χ914-4-44-444-44-2-442-2-442-2-424-2-42-20000002-2222-2-200000000000000000000000000−4i4i0000000000000000002i−2i0000000000000000
χ924-4-44-444-4-242-2-442-2-442-4-242-4-20000002-2222-2-20000000000000000000000004i−4i000000000000000000−2i2i000000000000000000
χ934-4-44-444-4-242-2-442-2-442-4-242-4-20000002-2222-2-2000000000000000000000000−4i4i0000000000000000002i−2i000000000000000000
χ944-4-4-444-4444-44-44-4-4-4-444-4-4444000000-4444-4-4-40000000000000000000000000000000000000000000000000000000000000000
χ954-4-4-444-444-2-442-2-4-4224-2-424-2-20000002-2-2-22220000000000000000000000000000000000000000000000000023−23000000000000
χ964-4-4-444-444-2-442-2-4-4224-2-424-2-20000002-2-2-222200000000000000000000000000000000000000000000000000−2323000000000000
χ974-4-4-444-44-242-2-4422-4-4-242-4-24-20000002-2-2-222200000000000000000000000000000000000000000000000023−2300000000000000
χ984-4-4-444-44-242-2-4422-4-4-242-4-24-20000002-2-2-2222000000000000000000000000000000000000000000000000−232300000000000000
χ998-8888-8-8-8-4-44444-4-4-4-4-4-444442000000-2-2-2222-20000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-8-888-4-44444-44-4444-4-4-4-42000000-2-22-22-220000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-888-8-4-44-44-44-44-444-4-4442000000-22-2-2-2220000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8-888-88-4-44-44-44444-4-444-4-42000000-2222-2-2-20000000000000000000000000000000000000000000000000000000000000000

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