Finite Group Databasebeta

← Group #11817743

Character table — Group #11817743

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111111122222222222222224444444444444488888888888888888888888812121212121212121818181818181818242424242424242424242424242424242424242436363636
order12222222336666666666666634444446666666121212121212121212121212121212121212121212121212444444444444444424446612121212121212121212121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-11-1111111-1-1-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1111111-1-111-1-1-1-1
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
χ5111111111111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-111-1-111111111
χ7111111111111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11-11-111-1-11111-1-111-1-1-1-11111
χ8111111111111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-1-1-111-1-1-1-1
χ91111111111111111111111111-1-111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111111-1-111-1-1-1-1-1-11111-1-1
χ101111111111111111111111111-1-111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111
χ111111111111111111111111111-1-111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111
χ121111111111111111111111111-1-111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-111-1-1-1-1-111-1-1111111-1-111-1-1
χ131111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-111111111-1-1-1-1-1-1-1-111
χ141111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1
χ151111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-111-1-111-1-1
χ161111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1111111-1-111
χ17222222222-1222-1-1-1-122-1-122-1-1222222-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122002200000000002020-1-1-1-1-1-1000000-1-1000000
χ18222222222-1222-1-1-1-122-1-122-1-1222222-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20000000000-20-2011111100000011000000
χ19222222222-1222-1-1-1-122-1-122-1-122-2-2-2-2-1-1-1-1-1-1-111-2-222-1-1-2-2111111-1-1-1-111112200220000000000-20-2011-1-111000000-1-1000000
χ20222222222-1222-1-1-1-122-1-122-1-122-2-2-2-2-1-1-1-1-1-1-111-2-222-1-1-2-2111111-1-1-1-11111-2-200-2-200000000002020-1-111-1-100000011000000
χ21222222222-1222-1-1-1-122-1-122-1-1-2-222-2-2-1-1-1-1-1-1-111-2-2-2-21122-1-111111111-1-1-1-12200-2-2000000000020-20-1-1-1-11100000011000000
χ22222222222-1222-1-1-1-122-1-122-1-1-2-222-2-2-1-1-1-1-1-1-111-2-2-2-21122-1-111111111-1-1-1-1-2-200220000000000-20201111-1-1000000-1-1000000
χ23222222222-1222-1-1-1-122-1-122-1-1-2-2-2-222-1-1-1-1-1-1-1-1-122-2-211-2-211-1-1-1-1111111112200-2-20000000000-202011-1-1-1-100000011000000
χ24222222222-1222-1-1-1-122-1-122-1-1-2-2-2-222-1-1-1-1-1-1-1-1-122-2-211-2-211-1-1-1-111111111-2-20022000000000020-20-1-11111000000-1-1000000
χ2522222222-12-1-1-12222-1-122-1-12-1222222-1-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100220022000000000202000000-1-1-1-1-1-100-1-10000
χ2622222222-12-1-1-12222-1-122-1-12-1222222-1-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000000-20-200000011111100110000
χ2722222222-12-1-1-12222-1-122-1-12-122-2-2-2-2-1-1-1-1-1-1-1-2-211-1-12211-2-21111-1-1-1-1111100220022000000000-20-2000000-1-111-1-100110000
χ2822222222-12-1-1-12222-1-122-1-12-122-2-2-2-2-1-1-1-1-1-1-1-2-211-1-12211-2-21111-1-1-1-1111100-2-200-2-200000000020200000011-1-11100-1-10000
χ2922222222-12-1-1-12222-1-122-1-12-1-2-222-2-2-1-1-1-1-1-1-1-2-21111-2-2-1-12211111111-1-1-1-1002200-2-2000000000-202000000-1-1111100-1-10000
χ3022222222-12-1-1-12222-1-122-1-12-1-2-222-2-2-1-1-1-1-1-1-1-2-21111-2-2-1-12211111111-1-1-1-100-2-2002200000000020-200000011-1-1-1-100110000
χ3122222222-12-1-1-12222-1-122-1-12-1-2-2-2-222-1-1-1-1-1-1-122-1-111-2-211-2-2-1-1-1-111111111002200-2-200000000020-2000000-1-1-1-11100110000
χ3222222222-12-1-1-12222-1-122-1-12-1-2-2-2-222-1-1-1-1-1-1-122-1-111-2-211-2-2-1-1-1-11111111100-2-20022000000000-2020000001111-1-100-1-10000
χ33222-2-22-2-22222-22-2-2-2-2-22-2-222200000022-2-2-2-220000000000000000000000002-200002i−2i2i2i−2i−2i00000000002-20000002i−2i00000000
χ34222-2-22-2-22222-22-2-2-2-2-22-2-222200000022-2-2-2-220000000000000000000000002-20000−2i2i−2i−2i2i2i00000000002-2000000−2i2i00000000
χ35222-2-22-2-22222-22-2-2-2-2-22-2-222200000022-2-2-2-22000000000000000000000000-2200002i−2i−2i−2i2i2i0000000000-220000002i−2i00000000
χ36222-2-22-2-22222-22-2-2-2-2-22-2-222200000022-2-2-2-22000000000000000000000000-220000−2i2i2i2i−2i−2i0000000000-22000000−2i2i00000000
χ3722-2-22-22-2222-2-22-2-222-2-222-2-22002i−2i002-22-2-22-2000000002i−2i2i−2i000000002i2i−2i−2i0000000000002i2i−2i−2i000000000000000000002-200
χ3822-2-22-22-2222-2-22-2-222-2-222-2-22002i−2i002-22-2-22-2000000002i−2i2i−2i000000002i2i−2i−2i000000000000−2i−2i2i2i00000000000000000000-2200
χ3922-2-22-22-2222-2-22-2-222-2-222-2-2200−2i2i002-22-2-22-200000000−2i2i−2i2i00000000−2i−2i2i2i0000000000002i2i−2i−2i00000000000000000000-2200
χ4022-2-22-22-2222-2-22-2-222-2-222-2-2200−2i2i002-22-2-22-200000000−2i2i−2i2i00000000−2i−2i2i2i000000000000−2i−2i2i2i000000000000000000002-200
χ412-222-2-22-222-22-2-22-22-222-22-2-222i−2i0000-22-22-22-200002i−2i2i−2i000000002i2i−2i−2i0000000000002-22-22i−2i2i−2i000000000000000000000000
χ422-222-2-22-222-22-2-22-22-222-22-2-222i−2i0000-22-22-22-200002i−2i2i−2i000000002i2i−2i−2i000000000000-22-22−2i2i−2i2i000000000000000000000000
χ432-222-2-22-222-22-2-22-22-222-22-2-22−2i2i0000-22-22-22-20000−2i2i−2i2i00000000−2i−2i2i2i0000000000002-22-2−2i2i−2i2i000000000000000000000000
χ442-222-2-22-222-22-2-22-22-222-22-2-22−2i2i0000-22-22-22-20000−2i2i−2i2i00000000−2i−2i2i2i000000000000-22-222i−2i2i−2i000000000000000000000000
χ452-22-22-2-2222-222-2-22-22-222-2-2-22000000-222-22-2-2000000000000000000000000002-22i−2i002i−2i−2i2i000000000000002-200002i−2i000000
χ462-22-22-2-2222-222-2-22-22-222-2-2-22000000-222-22-2-2000000000000000000000000002-2−2i2i00−2i2i2i−2i000000000000002-20000−2i2i000000
χ472-22-22-2-2222-222-2-22-22-222-2-2-22000000-222-22-2-200000000000000000000000000-222i−2i00−2i2i2i−2i00000000000000-2200002i−2i000000
χ482-22-22-2-2222-222-2-22-22-222-2-2-22000000-222-22-2-200000000000000000000000000-22−2i2i002i−2i−2i2i00000000000000-220000−2i2i000000
χ492-2-2-2-222222-2-22-2-222-2-2-2-2222200002-2-2-2-2-22222-22-20000000022-2-2000000000000000000002-2-2200000000000000000000002-2
χ502-2-2-2-222222-2-22-2-222-2-2-2-2222200002-2-2-2-2-22222-22-20000000022-2-200000000000000000000-222-20000000000000000000000-22
χ512-2-2-2-222222-2-22-2-222-2-2-2-222220000-22-2-2-2-2222-22-2200000000-2-222000000000000000000002-2-220000000000000000000000-22
χ522-2-2-2-222222-2-22-2-222-2-2-2-222220000-22-2-2-2-2222-22-2200000000-2-22200000000000000000000-222-200000000000000000000002-2
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
χ5444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-4-4-411111112222-2-2-2-22222-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000
χ5544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-444-4-4111111122222222-2-2-2-2-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000
χ5644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4441111111-2-2-2-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ57444-4-44-4-44-244-4-2222-4-4-22-44-2-2000000-2-22222-20000000000000000000000004-400000000000000000000-220000000000000000
χ58444-4-44-4-44-244-4-2222-4-4-22-44-2-2000000-2-22222-2000000000000000000000000-44000000000000000000002-20000000000000000
χ59444-4-44-4-4-24-2-224-4-4-4224-42-24-2000000-2-22222-20000000000000000000000000000004i−4i0000000000000000000000−2i2i00000000
χ60444-4-44-4-4-24-2-224-4-4-4224-42-24-2000000-2-22222-2000000000000000000000000000000−4i4i00000000000000000000002i−2i00000000
χ6144-44-4-4-44444-44444-4-44-4-4-4-4-440000004-4-444-4-40000000000000000000000000000000000000000000000000000000000000000
χ6244-44-4-4-444-24-44-2-2-22-4422-4-42-2000000-222-2-22200000000000000000000000000000000000000000000−2i32i3000000000000000000
χ6344-44-4-4-444-24-44-2-2-22-4422-4-42-2000000-222-2-222000000000000000000000000000000000000000000002i3−2i3000000000000000000
χ6444-44-4-4-44-24-22-2444-42-2-4-422-4-2000000-222-2-2220000000000000000000000000000000000000000000000000000−2i32i30000000000
χ6544-44-4-4-44-24-22-2444-42-2-4-422-4-2000000-222-2-22200000000000000000000000000000000000000000000000000002i3−2i30000000000
χ6644-4-44-44-44-24-4-4-222-24-42-24-42-2004i−4i00-22-222-22000000004i−4i−2i2i00000000−2i−2i2i2i0000000000000000000000000000000000000000
χ6744-4-44-44-44-24-4-4-222-24-42-24-42-200−4i4i00-22-222-2200000000−4i4i2i−2i000000002i2i−2i−2i0000000000000000000000000000000000000000
χ6844-4-44-44-4-24-2224-4-44-22-44-22-4-2004i−4i00-22-222-2200000000−2i2i4i−4i00000000−2i−2i2i2i0000000000000000000000000000000000000000
χ6944-4-44-44-4-24-2224-4-44-22-44-22-4-200−4i4i00-22-222-22000000002i−2i−4i4i000000002i2i−2i−2i0000000000000000000000000000000000000000
χ7044-4-44-44-4-2-2-222-222-2-222-2-2221004i−4i001-11-1-11-100000000−2i2i−2i2i3-33-33i−3i3i−3iii−i−i0000000000000000000000000000000000000000
χ7144-4-44-44-4-2-2-222-222-2-222-2-2221004i−4i001-11-1-11-100000000−2i2i−2i2i-33-33−3i3i−3i3iii−i−i0000000000000000000000000000000000000000
χ7244-4-44-44-4-2-2-222-222-2-222-2-222100−4i4i001-11-1-11-1000000002i−2i2i−2i3-33-3−3i3i−3i3i−i−iii0000000000000000000000000000000000000000
χ7344-4-44-44-4-2-2-222-222-2-222-2-222100−4i4i001-11-1-11-1000000002i−2i2i−2i-33-333i−3i3i−3i−i−iii0000000000000000000000000000000000000000
χ744-444-4-44-44-2-44-42-22-2-44-224-42-24i−4i00002-22-22-2200004i−4i−2i2i00000000−2i−2i2i2i00000000000000000000000000000000000000000000
χ754-444-4-44-44-2-44-42-22-2-44-224-42-2−4i4i00002-22-22-220000−4i4i2i−2i000000002i2i−2i−2i00000000000000000000000000000000000000000000
χ764-444-4-44-4-242-22-44-442-24-4-22-4-24i−4i00002-22-22-220000−2i2i4i−4i00000000−2i−2i2i2i00000000000000000000000000000000000000000000
χ774-444-4-44-4-242-22-44-442-24-4-22-4-2−4i4i00002-22-22-2200002i−2i−4i4i000000002i2i−2i−2i00000000000000000000000000000000000000000000
χ784-444-4-44-4-2-22-222-22-22-2-22-22214i−4i0000-11-11-11-10000−2i2i−2i2i00003-3-33ii−i−i3i−3i3i−3i0000000000000000000000000000000000000000
χ794-444-4-44-4-2-22-222-22-22-2-22-22214i−4i0000-11-11-11-10000−2i2i−2i2i0000-333-3ii−i−i−3i3i−3i3i0000000000000000000000000000000000000000
χ804-444-4-44-4-2-22-222-22-22-2-22-2221−4i4i0000-11-11-11-100002i−2i2i−2i00003-3-33−i−iii−3i3i−3i3i0000000000000000000000000000000000000000
χ814-444-4-44-4-2-22-222-22-22-2-22-2221−4i4i0000-11-11-11-100002i−2i2i−2i0000-333-3−i−iii3i−3i3i−3i0000000000000000000000000000000000000000
χ824-44-44-4-444-2-44422-224-4-2-2-4-42-20000002-2-22-22200000000000000000000000000004i−4i00000000000000000000000000−2i2i000000
χ834-44-44-4-444-2-44422-224-4-2-2-4-42-20000002-2-22-2220000000000000000000000000000−4i4i000000000000000000000000002i−2i000000
χ844-44-44-4-44-242-2-2-4-44-4-224422-4-20000002-2-22-222000000000000000000000000004-40000000000000000000000-22000000000000
χ854-44-44-4-44-242-2-2-4-44-4-224422-4-20000002-2-22-22200000000000000000000000000-4400000000000000000000002-2000000000000
χ864-4-4444-4-444-4-4-4-44-4-444-44-4444000000-4-444-4-440000000000000000000000000000000000000000000000000000000000000000
χ874-4-4444-4-44-2-4-4-42-222442-2-44-2-200000022-2-222-2000000000000000000000000000000000000000000000000−2i32i300000000000000
χ884-4-4444-4-44-2-4-4-42-222442-2-44-2-200000022-2-222-20000000000000000000000000000000000000000000000002i3−2i300000000000000
χ894-4-4444-4-4-24222-44-4-4-2-2-442-24-200000022-2-222-20000000000000000000000000000000000000000000000000000000000−2i32i30000
χ904-4-4444-4-4-24222-44-4-4-2-2-442-24-200000022-2-222-200000000000000000000000000000000000000000000000000000000002i3−2i30000
χ914-4-4-4-44444-2-4-4422-2-2-4-42244-2-200004-42222-2-2-2-224-400000000-2-222000000000000000000000000000000000000000000000000
χ924-4-4-4-44444-2-4-4422-2-2-4-42244-2-20000-442222-2-2-22-2-440000000022-2-2000000000000000000000000000000000000000000000000
χ934-4-4-4-4444-2422-2-4-44422-4-4-2-24-200004-42222-2-2-24-4-2200000000-2-222000000000000000000000000000000000000000000000000
χ944-4-4-4-4444-2422-2-4-44422-4-4-2-24-20000-442222-2-2-2-442-20000000022-2-2000000000000000000000000000000000000000000000000
χ954-4-4-4-4444-2-222-222-2-22222-2-2-2100004-4-1-1-1-1111-22-220000000011-1-13-3-333-3-330000000000000000000000000000000000000000
χ964-4-4-4-4444-2-222-222-2-22222-2-2-2100004-4-1-1-1-1111-22-220000000011-1-1-333-3-333-30000000000000000000000000000000000000000
χ974-4-4-4-4444-2-222-222-2-22222-2-2-210000-44-1-1-1-11112-22-200000000-1-1113-3-33-333-30000000000000000000000000000000000000000
χ984-4-4-4-4444-2-222-222-2-22222-2-2-210000-44-1-1-1-11112-22-200000000-1-111-333-33-3-330000000000000000000000000000000000000000
χ99888-8-88-8-8-4-4-4-44-444444-444-4-4200000022-2-2-2-220000000000000000000000000000000000000000000000000000000000000000
χ10088-88-8-8-88-4-4-44-4-4-4-444-44444420000002-2-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ1018-88-88-8-88-4-44-4-444-44-44-4-44442000000-222-22-2-20000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8888-8-8-4-44444-444-4-44-44-4-42000000-2-222-2-220000000000000000000000000000000000000000000000000000000000000000

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