Finite Group Databasebeta

← Group #11824558

Character table — Group #11824558

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222444444444488888888888888888888888888121212121212121212121212121212121818181818181818242424242424242424242424242424247272
order1222222233666666666666663446666666226666666666666666121212121212121222444444444444442222444466121212121212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ91111111111111111111111111-1-111111111-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1111-1
χ101111111111111111111111111-1-111111111-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-11
χ111111111111111111111111111-1-111111111-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-11
χ121111111111111111111111111-1-111111111-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-111-1-111-1-11111-1-11-1
χ131111111111111111111111111-1-11111111-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-111-1-11-1
χ141111111111111111111111111-1-11111111-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-11
χ151111111111111111111111111-1-11111111-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-11111-1-111-1-111-1-1-11
χ161111111111111111111111111-1-11111111-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1111-1
χ17222222222-1222-1-1-1-1222-1-1-12-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222220000000000000000-1-1-1-1-1-1-1-10000000000
χ18222222222-1222-1-1-1-1222-1-1-12-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-20000000000000000111111110000000000
χ19222222222-1222-1-1-1-1222-1-1-12-122-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111-1-122-1-1-1-12222-2-2-2-20000000000000000-1-1-1-111110000000000
χ20222222222-1222-1-1-1-1222-1-1-12-122-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111-1-122-1-1-1-1-2-2-2-2222200000000000000001111-1-1-1-10000000000
χ21222222222-1222-1-1-1-1222-1-1-12-1-2-2-1-1-1-1-1-1-12-222-2-2-1-111-1-1-1-1111111-2-2111122-2-222-2-20000000000000000-1-111-1-1110000000000
χ22222222222-1222-1-1-1-1222-1-1-12-1-2-2-1-1-1-1-1-1-12-222-2-2-1-111-1-1-1-1111111-2-21111-2-222-2-222000000000000000011-1-111-1-10000000000
χ23222222222-1222-1-1-1-1222-1-1-12-1-2-2-1-1-1-1-1-1-1-22-2-22211-1-11111-1-1-1-111-2-2111122-2-2-2-2220000000000000000-1-11111-1-10000000000
χ24222222222-1222-1-1-1-1222-1-1-12-1-2-2-1-1-1-1-1-1-1-22-2-22211-1-11111-1-1-1-111-2-21111-2-22222-2-2000000000000000011-1-1-1-1110000000000
χ2522222222-12-1-1-12222-1-1-1222-1-122-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000222222220000000000000000-1-1-1-1-1-1-1-100
χ2622222222-12-1-1-12222-1-1-1222-1-122-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000-2-2-2-2-2-2-2-200000000000000001111111100
χ2722222222-12-1-1-12222-1-1-1222-1-122-1-1-1-1-1-1-1-2-21111-2-2-2-21111111122-1-1-1-1-1-1000000002222-2-2-2-20000000000000000-1-1-1-1111100
χ2822222222-12-1-1-12222-1-1-1222-1-122-1-1-1-1-1-1-1-2-21111-2-2-2-21111111122-1-1-1-1-1-100000000-2-2-2-2222200000000000000001111-1-1-1-100
χ2922222222-12-1-1-12222-1-1-1222-1-1-2-2-1-1-1-1-1-1-12-2-1-11122-2-2-1-1-1-11111-2-21111110000000022-2-222-2-20000000000000000-1-11111-1-100
χ3022222222-12-1-1-12222-1-1-1222-1-1-2-2-1-1-1-1-1-1-12-2-1-11122-2-2-1-1-1-11111-2-211111100000000-2-222-2-222000000000000000011-1-1-1-11100
χ3122222222-12-1-1-12222-1-1-1222-1-1-2-2-1-1-1-1-1-1-1-2211-1-1-2-2221111-1-1-1-1-2-21111110000000022-2-2-2-2220000000000000000-1-111-1-11100
χ3222222222-12-1-1-12222-1-1-1222-1-1-2-2-1-1-1-1-1-1-1-2211-1-1-2-2221111-1-1-1-1-2-211111100000000-2-22222-2-2000000000000000011-1-111-1-100
χ33222-2-2-2-222222-2222-22-2-2-2-2-2-2200222-2-2-2-200000000000000000000000000002i−2i000000002i−2i0022-2-20000002i−2i00000000002i−2i00
χ34222-2-2-2-222222-2222-22-2-2-2-2-2-2200222-2-2-2-200000000000000000000000000002i−2i00000000−2i2i00-2-2220000002i−2i0000000000−2i2i00
χ35222-2-2-2-222222-2222-22-2-2-2-2-2-2200222-2-2-2-20000000000000000000000000000−2i2i000000002i−2i00-2-222000000−2i2i00000000002i−2i00
χ36222-2-2-2-222222-2222-22-2-2-2-2-2-2200222-2-2-2-20000000000000000000000000000−2i2i00000000−2i2i0022-2-2000000−2i2i0000000000−2i2i00
χ3722-222-2-2-2222-222-2-2-2-22-222-2-22002-2-222-2-2000000000000000000000000000000002-2002i−2i000000002i2i−2i−2i0000002-2002i−2i000000
χ3822-222-2-2-2222-222-2-2-2-22-222-2-22002-2-222-2-2000000000000000000000000000000002-200−2i2i00000000−2i−2i2i2i0000002-200−2i2i000000
χ3922-222-2-2-2222-222-2-2-2-22-222-2-22002-2-222-2-200000000000000000000000000000000-22002i−2i00000000−2i−2i2i2i000000-22002i−2i000000
χ4022-222-2-2-2222-222-2-2-2-22-222-2-22002-2-222-2-200000000000000000000000000000000-2200−2i2i000000002i2i−2i−2i000000-2200−2i2i000000
χ412-222-22-2-222-222-22-2-2-2-222-22-2200-22-22-22-20000000000000000000000000000002-2002i−2i00000000002i−2i2i−2i00002-2002i−2i00000000
χ422-222-22-2-222-222-22-2-2-2-222-22-2200-22-22-22-20000000000000000000000000000002-200−2i2i0000000000−2i2i−2i2i00002-200−2i2i00000000
χ432-222-22-2-222-222-22-2-2-2-222-22-2200-22-22-22-2000000000000000000000000000000-22002i−2i0000000000−2i2i−2i2i0000-22002i−2i00000000
χ442-222-22-2-222-222-22-2-2-2-222-22-2200-22-22-22-2000000000000000000000000000000-2200−2i2i00000000002i−2i2i−2i0000-2200−2i2i00000000
χ452-2-22-2-22222-2-22-2-2222-2-22-2-2222-2-2-222-2-220000000000000000002-22-222-2-200000000000000002-22-22-2-22000000000000000000
χ462-2-22-2-22222-2-22-2-2222-2-22-2-2222-2-2-222-2-220000000000000000002-22-222-2-20000000000000000-22-22-222-2000000000000000000
χ472-2-22-2-22222-2-22-2-2222-2-22-2-222-22-2-222-2-22000000000000000000-22-22-2-22200000000000000002-22-2-222-2000000000000000000
χ482-2-22-2-22222-2-22-2-2222-2-22-2-222-22-2-222-2-22000000000000000000-22-22-2-2220000000000000000-22-222-2-22000000000000000000
χ492-2-2-222-2222-2-2-2-2-22-2222-222-2200-2-22-222-2000000000000000000000000002-20000000000002-22-2-2200002-200000000002-20000
χ502-2-2-222-2222-2-2-2-2-22-2222-222-2200-2-22-222-2000000000000000000000000002-2000000000000-22-222-200002-20000000000-220000
χ512-2-2-222-2222-2-2-2-2-22-2222-222-2200-2-22-222-200000000000000000000000000-220000000000002-2-222-20000-2200000000002-20000
χ522-2-2-222-2222-2-2-2-2-22-2222-222-2200-2-22-222-200000000000000000000000000-22000000000000-222-2-220000-220000000000-220000
χ5344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144111111144-2-2-2-2-2-2-2-211111111-2-2-2-21111000000000000000000000000000000000000000000
χ5444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21441111111-4-422222222-1-1-1-1-1-1-1-1-2-2-2-21111000000000000000000000000000000000000000000
χ5544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-411111114-4-2-222-2-2221111-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ5644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-41111111-4422-2-222-2-2-1-1-1-111112222-1-1-1-1000000000000000000000000000000000000000000
χ57444-4-4-4-444-244-4-2-2-224-4-4222-4-200-2-2-2222200000000000000000000000000004i−4i0000000000000000000000−2i2i00000000000000
χ58444-4-4-4-444-244-4-2-2-224-4-4222-4-200-2-2-222220000000000000000000000000000−4i4i00000000000000000000002i−2i00000000000000
χ59444-4-4-4-44-24-2-22444-4-222-4-4-42-200-2-2-22222000000000000000000000000000000000000004i−4i000000000000000000000000−2i2i00
χ60444-4-4-4-44-24-2-22444-4-222-4-4-42-200-2-2-2222200000000000000000000000000000000000000−4i4i0000000000000000000000002i−2i00
χ6144-444-4-4-44-24-44-2222-44-4-2-22-4-200-222-2-222000000000000000000000000000000004-40000000000000000000000-220000000000
χ6244-444-4-4-44-24-44-2222-44-4-2-22-4-200-222-2-22200000000000000000000000000000000-4400000000000000000000002-20000000000
χ6344-444-4-4-4-24-22-24-4-4-42-2244-42-200-222-2-2220000000000000000000000000000000000004i−4i0000000000000000000000−2i2i000000
χ6444-444-4-4-4-24-22-24-4-4-42-2244-42-200-222-2-222000000000000000000000000000000000000−4i4i00000000000000000000002i−2i000000
χ6544-4-4-444-4444-4-44-4-44-4-44-4-4444004-4-4-4-44400000000000000000000000000000000000000000000000000000000000000000000
χ6644-4-4-444-44-24-4-4-222-2-4-4422-24-200-22222-2-2000000−2i32i300−2i3−2i32i32i3000000000000000000000000000000000000000000000000000000
χ6744-4-4-444-44-24-4-4-222-2-4-4422-24-200-22222-2-20000002i3−2i3002i32i3−2i3−2i3000000000000000000000000000000000000000000000000000000
χ6844-4-4-444-4-24-2224-4-4422-2-4-44-2-200-22222-2-20000−2i32i300000000−2i3−2i32i32i300000000000000000000000000000000000000000000000000
χ6944-4-4-444-4-24-2224-4-4422-2-4-44-2-200-22222-2-200002i3−2i3000000002i32i3−2i3−2i300000000000000000000000000000000000000000000000000
χ7044-4-4-444-4-2-2-222-222-222-222-2-21001-1-1-1-1110000−2i32i3−2i32i300i3i3−i3−i3i3i3−i3−i300003-33-3000000000000000000000000000000000000000000
χ7144-4-4-444-4-2-2-222-222-222-222-2-21001-1-1-1-1110000−2i32i32i3−2i300−i3−i3i3i3i3i3−i3−i30000-33-33000000000000000000000000000000000000000000
χ7244-4-4-444-4-2-2-222-222-222-222-2-21001-1-1-1-11100002i3−2i3−2i32i300i3i3−i3−i3−i3−i3i3i30000-33-33000000000000000000000000000000000000000000
χ7344-4-4-444-4-2-2-222-222-222-222-2-21001-1-1-1-11100002i3−2i32i3−2i300−i3−i3i3i3−i3−i3i3i300003-33-3000000000000000000000000000000000000000000
χ744-444-44-4-44-2-4442-222-4-44-22-2-4-2002-22-22-220000000000000000000000000000004-40000000000000000000000-22000000000000
χ754-444-44-4-44-2-4442-222-4-44-22-2-4-2002-22-22-22000000000000000000000000000000-4400000000000000000000002-2000000000000
χ764-444-44-4-4-242-2-2-44-4-422-24-442-2002-22-22-2200000000000000000000000000000000004i−4i0000000000000000000000−2i2i00000000
χ774-444-44-4-4-242-2-2-44-4-422-24-442-2002-22-22-220000000000000000000000000000000000−4i4i00000000000000000000002i−2i00000000
χ784-44-44-44-444-44-4-44-44-44-4-44-44400-44-4-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ794-44-44-44-44-2-44-42-22-2-44-42-224-2002-222-22-200000000−2i32i30000−2i32i3−2i32i300000000000000000000000000000000000000000000000000
χ804-44-44-44-44-2-44-42-22-2-44-42-224-2002-222-22-2000000002i3−2i300002i3−2i32i3−2i300000000000000000000000000000000000000000000000000
χ814-44-44-44-4-242-22-44-442-22-44-4-2-2002-222-22-200−2i32i3000000−2i32i3−2i32i3000000000000000000000000000000000000000000000000000000
χ824-44-44-44-4-242-22-44-442-22-44-4-2-2002-222-22-2002i3−2i30000002i3−2i32i3−2i3000000000000000000000000000000000000000000000000000000
χ834-44-44-44-4-2-22-222-22-22-222-22-2100-11-1-11-1100−2i32i30000−2i32i3i3−i3i3−i3i3−i3i3−i300003-3-33000000000000000000000000000000000000000000
χ844-44-44-44-4-2-22-222-22-22-222-22-2100-11-1-11-1100−2i32i300002i3−2i3i3−i3i3−i3−i3i3−i3i30000-333-3000000000000000000000000000000000000000000
χ854-44-44-44-4-2-22-222-22-22-222-22-2100-11-1-11-11002i3−2i30000−2i32i3−i3i3−i3i3i3−i3i3−i30000-333-3000000000000000000000000000000000000000000
χ864-44-44-44-4-2-22-222-22-22-222-22-2100-11-1-11-11002i3−2i300002i3−2i3−i3i3−i3i3−i3i3−i3i300003-3-33000000000000000000000000000000000000000000
χ874-4-44-4-4444-2-4-4422-2-24-4-4-2224-24-422-2-222-2000000000000000000-224-4-2-222000000000000000000000000000000000000000000
χ884-4-44-4-4444-2-4-4422-2-24-4-4-2224-2-4422-2-222-20000000000000000002-2-4422-2-2000000000000000000000000000000000000000000
χ894-4-44-4-444-2422-2-4-444-2224-4-4-2-24-422-2-222-20000000000000000004-4-22-2-222000000000000000000000000000000000000000000
χ904-4-44-4-444-2422-2-4-444-2224-4-4-2-2-4422-2-222-2000000000000000000-442-222-2-2000000000000000000000000000000000000000000
χ914-4-44-4-444-2-222-222-2-2-222-222-214-4-1-111-1-1100000000003-3-333-3-33-22-2211-1-1000000000000000000000000000000000000000000
χ924-4-44-4-444-2-222-222-2-2-222-222-214-4-1-111-1-110000000000-333-3-333-3-22-2211-1-1000000000000000000000000000000000000000000
χ934-4-44-4-444-2-222-222-2-2-222-222-21-44-1-111-1-1100000000003-3-33-333-32-22-2-1-111000000000000000000000000000000000000000000
χ944-4-44-4-444-2-222-222-2-2-222-222-21-44-1-111-1-110000000000-333-33-3-332-22-2-1-111000000000000000000000000000000000000000000
χ954-4-4-444-444-2-4-4-422-224442-2-2-4-20022-22-2-22000000000000000000000000004-40000000000000000000000-220000000000000000
χ964-4-4-444-444-2-4-4-422-224442-2-2-4-20022-22-2-2200000000000000000000000000-4400000000000000000000002-20000000000000000
χ974-4-4-444-44-24222-4-44-4-2-2-2-4442-20022-22-2-2200000000000000000000000000000000000000004-400000000000000000000-220000
χ984-4-4-444-44-24222-4-44-4-2-2-2-4442-20022-22-2-220000000000000000000000000000000000000000-44000000000000000000002-20000
χ99888-8-8-8-88-4-4-4-44-4-4-44-4444444200222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000
χ10088-888-8-8-8-4-4-44-4-44444-44-4-4442002-2-222-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1018-888-88-8-8-4-44-4-44-44444-4-44-44200-22-22-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8-888-88-4-444444-44-4-4-44-4-44200-2-22-222-200000000000000000000000000000000000000000000000000000000000000000000

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