Finite Group Databasebeta

← Group #11876934

Character table — Group #11876934

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222244444444444444666666668888888888888812121212121212121212121212121212161616161616242424242424242424243636363648487272
order12223344666666366688121212122424242444444444246612121212242424242424888812121212121212122424242466612121244441212121224242488121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111111111-1-111-1-11111111111111111-1-111-1-1-1-111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ51111111111111111111111111111-1-111-1-11111111111111111-1-111-1-11111-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-111-1-111-1-1-1-1-1-111111111-1-111-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1
χ9111111111111111111-1-11111-1-1-1-1111111111-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-11-11-1-1-111-1-111-1-11-1-11
χ10111111111111111111-1-11111-1-1-1-111111111-11-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1111-11-1111-1-1-1-111-1-1-111-1
χ11111111111111111111-1-11111-1-1-1-111-1-111-1-11-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-11-1-11-1-111-1-1-1-111-111-1
χ12111111111111111111-1-11111-1-1-1-111-1-111-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1111-111-111-1-1-1-1-1-1111-1-11
χ13111111111111111111-1-11111-1-1-1-1-1-111-1-1111-111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-111-111-1-111-1-1111-11-1
χ14111111111111111111-1-11111-1-1-1-1-1-111-1-111-11-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-11-1-11111-1-111-11-11
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-11-1111-1-11111-1-1-11-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11111-11-1-1-1111111-1-11-11-1
χ17222222-2-2222222222200-2-2-2-200002222-2-2-2-2000000-2-20000000000-2-222-2-222000000000000000000002-2000000
χ18222222-2-2222222222200-2-2-2-2000022-2-2-2-222000000-2-20000000000-2-2-2-2222200000000000000000000-22000000
χ19222222-2-2222222222200-2-2-2-20000-2-22222-2-2000000-2-200000000002222-2-2-2-200000000000000000000-22000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-22222000000-2-2000000000022-2-222-2-2000000000000000000002-2000000
χ2122222-1222-12-1-12-1-1-1-1222-12-1-1-1-1-100220022222222-1-122-1-1-1-1002200-1-1-1-100-1-1-1-1-1-1-1-1-1-100220000000000-1-100
χ2222222-1222-12-1-12-1-1-1-1222-12-1-1-1-1-100220022-2-2-2-2-2-2-1-122-1-1-1-1002200-1-1-1-100-1-1-1-111111100-2-200000000001100
χ2322222-1222-12-1-12-1-1-1-1222-12-1-1-1-1-100-2-200-2-2222222-1-122-1-1-1-100-2-2001111001111-1-1-1-1-1-100-2-200000000001100
χ2422222-1222-12-1-12-1-1-1-1222-12-1-1-1-1-100-2-200-2-2-2-2-2-2-2-2-1-122-1-1-1-100-2-200111100111111111100220000000000-1-100
χ2522222-1222-12-1-12-1-1-1-1-2-22-12-11111002200222-222-2-2-1-1-2-2111100-2-200-1-1-1-1001111-1-1-1111002-20000000000-1100
χ2622222-1222-12-1-12-1-1-1-1-2-22-12-1111100220022-22-2-222-1-1-2-2111100-2-200-1-1-1-1001111111-1-1-100-2200000000001-100
χ2722222-1222-12-1-12-1-1-1-1-2-22-12-1111100-2-200-2-22-222-2-2-1-1-2-21111002200111100-1-1-1-1-1-1-111100-2200000000001-100
χ2822222-1222-12-1-12-1-1-1-1-2-22-12-1111100-2-200-2-2-22-2-222-1-1-2-21111002200111100-1-1-1-1111-1-1-1002-20000000000-1100
χ292222-1222-12-122-1-1-1-1-122-12-1222222200220022-1-1-1-1-1-1-1-1-1-1-1-12200-1-10000-1-100002-1-12-1-12200-1-1-1-1-1-100000000
χ302222-1222-12-122-1-1-1-1-122-12-12222222002200-2-21111-1-1-1-1-1-1-1-12200-1-10000-1-10000-211-211-2-2001111-1-100000000
χ312222-1222-12-122-1-1-1-1-122-12-122222-2-200-2-20022-1-1-1-1-1-1-1-1-1-1-1-1-2-2001100001100002-1-12-1-1-2-20011111100000000
χ322222-1222-12-122-1-1-1-1-122-12-122222-2-200-2-200-2-21111-1-1-1-1-1-1-1-1-2-200110000110000-211-2112200-1-1-1-11100000000
χ332222-1222-12-122-1-1-1-1-1-2-2-12-12-2-2-2-2220022002-2-1-111-1-1111111-2-200-1-10000-1-100002-1-1-2112-20011-1-11100000000
χ342222-1222-12-122-1-1-1-1-1-2-2-12-12-2-2-2-222002200-2211-1-1-1-1111111-2-200-1-10000-1-10000-2112-1-1-2200-1-1111100000000
χ352222-1222-12-122-1-1-1-1-1-2-2-12-12-2-2-2-2-2-200-2-2002-2-1-111-1-111111122001100001100002-1-1-211-2200-1-111-1-100000000
χ362222-1222-12-122-1-1-1-1-1-2-2-12-12-2-2-2-2-2-200-2-200-2211-1-1-1-11111112200110000110000-2112-1-12-20011-1-1-1-100000000
χ372-22-2222-2-2-222-2-22-22-22i−2i-2-2222i2i−2i−2i2i−2i002i−2i000000002-22i−2i2i2i−2i−2i2-2002i−2i00002i−2i0000000000000000002-200000000
χ382-22-2222-2-2-222-2-22-22-22i−2i-2-2222i2i−2i−2i−2i2i00−2i2i000000002-22i−2i2i2i−2i−2i-2200−2i2i0000−2i2i000000000000000000-2200000000
χ392-22-2222-2-2-222-2-22-22-2−2i2i-2-222−2i−2i2i2i2i−2i002i−2i000000002-2−2i2i−2i−2i2i2i-22002i−2i00002i−2i000000000000000000-2200000000
χ402-22-2222-2-2-222-2-22-22-2−2i2i-2-222−2i−2i2i2i−2i2i00−2i2i000000002-2−2i2i−2i−2i2i2i2-200−2i2i0000−2i2i0000000000000000002-200000000
χ412-22-222-22-2-222-2-22-22-20022-2-200002i−2i00−2i2i00000000-22000000002i−2i−2i2i00002i−2i2i2i−2i−2i0000000000000000002-20000
χ422-22-222-22-2-222-2-22-22-20022-2-200002i−2i00−2i2i00000000-2200000000−2i2i−2i2i00002i−2i−2i−2i2i2i000000000000000000-220000
χ432-22-222-22-2-222-2-22-22-20022-2-20000−2i2i002i−2i00000000-22000000002i−2i2i−2i0000−2i2i2i2i−2i−2i000000000000000000-220000
χ442-22-222-22-2-222-2-22-22-20022-2-20000−2i2i002i−2i00000000-2200000000−2i2i2i−2i0000−2i2i−2i−2i2i2i0000000000000000002-20000
χ452-22-2-122-21-2-12-21-11-112i−2i1-2-122i2i−2i−2i2i−2i002i−2i0000−i3i33−3-11−ii−i−iii2-200−ii0000−ii00000−i3i303−30000−i3i33−3-1100000000
χ462-22-2-122-21-2-12-21-11-112i−2i1-2-122i2i−2i−2i2i−2i002i−2i0000i3−i3−33-11−ii−i−iii2-200−ii0000−ii00000i3−i30−330000i3−i3−33-1100000000
χ472-22-2-122-21-2-12-21-11-112i−2i1-2-122i2i−2i−2i−2i2i00−2i2i0000−i3i33−3-11−ii−i−iii-2200i−i0000i−i00000−i3i303−30000i3−i3−331-100000000
χ482-22-2-122-21-2-12-21-11-112i−2i1-2-122i2i−2i−2i−2i2i00−2i2i0000i3−i3−33-11−ii−i−iii-2200i−i0000i−i00000i3−i30−330000−i3i33−31-100000000
χ492-22-2-122-21-2-12-21-11-11−2i2i1-2-12−2i−2i2i2i2i−2i002i−2i0000−i3i3−33-11i−iii−i−i-2200−ii0000−ii00000−i3i30−330000i3−i33−31-100000000
χ502-22-2-122-21-2-12-21-11-11−2i2i1-2-12−2i−2i2i2i2i−2i002i−2i0000i3−i33−3-11i−iii−i−i-2200−ii0000−ii00000i3−i303−30000−i3i3−331-100000000
χ512-22-2-122-21-2-12-21-11-11−2i2i1-2-12−2i−2i2i2i−2i2i00−2i2i0000−i3i3−33-11i−iii−i−i2-200i−i0000i−i00000−i3i30−330000−i3i3−33-1100000000
χ522-22-2-122-21-2-12-21-11-11−2i2i1-2-12−2i−2i2i2i−2i2i00−2i2i0000i3−i33−3-11i−iii−i−i2-200i−i0000i−i00000i3−i303−30000i3−i33−3-1100000000
χ5344444-2-4-44-24-2-24-2-2-2-200-42-420000004400-4-400000022000000000000-2-222000000000000000000000000000000
χ5444444-2-4-44-24-2-24-2-2-2-200-42-42000000-4-400440000002200000000000022-2-2000000000000000000000000000000
χ554444-24-4-4-24-244-2-2-2-2-2002-42-400004400-4-400000000220000000000220000-2-20000000000000000000000000000
χ564444-24-4-4-24-244-2-2-2-2-2002-42-40000-4-4004400000000220000000000-2-20000220000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20000000044-2-2-2-211-2-211110000000000000000-211-211000000000000000000
χ584444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000000-4-4222211-2-2111100000000000000002-1-12-1-1000000000000000000
χ594444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-4-2-2221122-1-1-1-10000000000000000-2112-1-1000000000000000000
χ604444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-4422-2-21122-1-1-1-100000000000000002-1-1-211000000000000000000
χ6144-4-44400-44-4-4-444-4-4400000000000000004i−4i00000000000000000000004i−4i000000000000000000000000000000
χ6244-4-44400-44-4-4-444-4-440000000000000000−4i4i0000000000000000000000−4i4i000000000000000000000000000000
χ6344-4-44-200-4-2-4224-222-2000000i6−i6i6−i60000004i−4i0000000000i6−i6i6−i600000000−2i2i006−66−6000000000000000000000000
χ6444-4-44-200-4-2-4224-222-2000000i6−i6i6−i6000000−4i4i0000000000i6−i6i6−i6000000002i−2i00−66−66000000000000000000000000
χ6544-4-44-200-4-2-4224-222-2000000−i6i6−i6i60000004i−4i0000000000−i6i6−i6i600000000−2i2i00−66−66000000000000000000000000
χ6644-4-44-200-4-2-4224-222-2000000−i6i6−i6i6000000−4i4i0000000000−i6i6−i6i6000000002i−2i006−66−6000000000000000000000000
χ674-44-44-24-4-424-22-4-22-224i−4i-424-2−2i−2i2i2i00000000000000-224i−4i−2i−2i2i2i0000000000000000000000000000000000000000
χ684-44-44-24-4-424-22-4-22-22−4i4i-424-22i2i−2i−2i00000000000000-22−4i4i2i2i−2i−2i0000000000000000000000000000000000000000
χ694-44-44-2-44-424-22-4-22-22004-2-420000000000000000002-2000000004i−4i00000000−2i−2i2i2i000000000000000000000000
χ704-44-44-2-44-424-22-4-22-22004-2-420000000000000000002-200000000−4i4i000000002i2i−2i−2i000000000000000000000000
χ714-44-4-24-442-4-24-42-22-2200-242-400004i−4i00−4i4i000000002-200000000002i−2i0000−2i2i0000000000000000000000000000
χ724-44-4-24-442-4-24-42-22-2200-242-40000−4i4i004i−4i000000002-20000000000−2i2i00002i−2i0000000000000000000000000000
χ734-44-4-2-24-422-2-2221-11-14i−4i22-2-2−2i−2i2i2i0000000000−2i32i323−231-1−2i2iii−i−i00000000000000000i3−i30−33000000000000000000
χ744-44-4-2-24-422-2-2221-11-14i−4i22-2-2−2i−2i2i2i00000000002i3−2i3−23231-1−2i2iii−i−i00000000000000000−i3i303−3000000000000000000
χ754-44-4-2-24-422-2-2221-11-1−4i4i22-2-22i2i−2i−2i0000000000−2i32i3−23231-12i−2i−i−iii00000000000000000i3−i303−3000000000000000000
χ764-44-4-2-24-422-2-2221-11-1−4i4i22-2-22i2i−2i−2i00000000002i3−2i323−231-12i−2i−i−iii00000000000000000−i3i30−33000000000000000000
χ774-4-4444004-4-4-44-444-4-40000000000004i−4i0000000000000000000000004i−4i00000000000000000000000000000000
χ784-4-4444004-4-4-44-444-4-4000000000000−4i4i000000000000000000000000−4i4i00000000000000000000000000000000
χ794-4-444-20042-42-2-4-2-2220000006−6−66004i−4i000000000000006−6−66000000−2i2i0000i6−i6−i6i6000000000000000000000000
χ804-4-444-20042-42-2-4-2-2220000006−6−6600−4i4i000000000000006−6−660000002i−2i0000−i6i6i6−i6000000000000000000000000
χ814-4-444-20042-42-2-4-2-222000000−666−6004i−4i00000000000000−666−6000000−2i2i0000−i6i6i6−i6000000000000000000000000
χ824-4-444-20042-42-2-4-2-222000000−666−600−4i4i00000000000000−666−60000002i−2i0000i6−i6−i6i6000000000000000000000000
χ838888-4-4-8-8-4-4-4-4-4-42222004444000000000000000000-2-20000000000000000000000000000000000000000000000
χ8488-8-8-4800484-8-8-4-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4-4004-4444-42-2-220000002i6−2i62i6−2i6000000000000000000−i6i6−i6i60000000000000000000000000000000000000000
χ8688-8-8-4-4004-4444-42-2-22000000−2i62i6−2i62i6000000000000000000i6−i6i6−i60000000000000000000000000000000000000000
χ878-88-8-4-4-8844-4-4442-22-200-4-444000000000000000000-220000000000000000000000000000000000000000000000
χ888-8-88-4800-4-84-884-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400-4444-4422-2-200000026−26−2626000000000000000000−666−60000000000000000000000000000000000000000
χ908-8-88-4-400-4444-4422-2-2000000−262626−260000000000000000006−6−660000000000000000000000000000000000000000

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