Finite Group Databasebeta

← Group #11796462

Character table — Group #11796462

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11222224444444444488888888888888888991616161616161824242424242424243636363636484848484848484872
order12233663444446666621212121212121212121212121212121222666612122888888884444424242424242424242
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11
χ311111111111111111111111111111111111-1-1111111-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1
χ411111111111111111111111111111111111-1-1111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1
χ511111111111-1-111111-1111111111111-1-1-1-111-1-1-1-1-1-11ii−i−iii−i−i1-1-111ii−i−iii−i−i-1
χ611111111111-1-111111-1111111111111-1-1-1-111-1-1-1-1-1-11−i−iii−i−iii1-1-111−i−iii−i−iii-1
χ711111111111-1-111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii-111-1-1ii−i−i−i−iii1
χ811111111111-1-111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i-111-1-1−i−iiiii−i−i1
χ9111111111-1-11111111-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-11-11-11-1111-1-11-11-11-11-1-1
χ10111111111-1-11111111-111-1-1-1-1-1-1-1-111111111-1-1-1-1111-11-11-11-11111-1-1-11-11-11-11-1
χ11111111111-1-11111111-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-11-11-1-11-11-1-1-1111-11-1-11-111
χ12111111111-1-11111111-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11-111-11-1-1-1-111-11-111-11-11
χ13111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11i−i−iii−i−ii1-1-1-1-1i−i−iii−i−ii1
χ14111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11−iii−i−iii−i1-1-1-1-1−iii−i−iii−i1
χ15111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1i−i−ii−iii−i-11111i−i−ii−iii−i-1
χ16111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1−iii−ii−i−ii-11111−iii−ii−i−ii-1
χ1722222222-2002-2222220-2-200000000-2-222-2-22200002-2200000000-22-200000000000
χ1822222222-2002-2222220-2-200000000-2-222-2-2-2-200002-2-2000000002-2200000000000
χ1922222222-200-22222220-2-200000000-2-2-2-222220000-22200000000-2-2200000000000
χ2022222222-200-22222220-2-200000000-2-2-2-222-2-20000-22-20000000022-200000000000
χ212222-12-1-1222222-1-1-1-122-122-1-1-1-1-1-1-1-12-12-1002-1-1-1-1-1000002222000000000-1-1-1-10
χ222222-12-1-1222222-1-1-1-122-122-1-1-1-1-1-1-1-12-12-1002-1-1-1-1-100000-2-2-2-200000000011110
χ232222-12-1-1222-2-22-1-1-1-1-22-122-1-1-1-1-1-1-1-1-21-2100-211111000002i2i−2i−2i000000000−i−iii0
χ242222-12-1-1222-2-22-1-1-1-1-22-122-1-1-1-1-1-1-1-1-21-2100-21111100000−2i−2i2i2i000000000ii−i−i0
χ252222-12-1-12-2-2222-1-1-1-1-22-1-2-2111111-1-12-12-100-2111-1-1000002-22-2000000000-11-110
χ262222-12-1-12-2-2222-1-1-1-1-22-1-2-2111111-1-12-12-100-2111-1-100000-22-220000000001-11-10
χ272222-12-1-12-2-2-2-22-1-1-1-122-1-2-2111111-1-1-21-21002-1-1-111000002i−2i−2i2i000000000−iii−i0
χ282222-12-1-12-2-2-2-22-1-1-1-122-1-2-2111111-1-1-21-21002-1-1-11100000−2i2i2i−2i000000000i−i−ii0
χ29222-12-12-122222-12-1-1-12-12-1-122-1-1-1-1-1-1-12-1200-12-1-1-1-102222000000000-1-1-1-100000
χ30222-12-12-122222-12-1-1-12-12-1-122-1-1-1-1-1-1-12-1200-12-1-1-1-10-2-2-2-2000000000111100000
χ31222-12-12-1222-2-2-12-1-1-1-2-12-1-122-1-1-1-1-1-11-21-2001-2111102i2i−2i−2i000000000−i−iii00000
χ32222-12-12-1222-2-2-12-1-1-1-2-12-1-122-1-1-1-1-1-11-21-2001-211110−2i−2i2i2i000000000ii−i−i00000
χ33222-12-12-12-2-222-12-1-1-1-2-1211-2-21111-1-1-12-12001-211-1-102-22-2000000000-11-1100000
χ34222-12-12-12-2-222-12-1-1-1-2-1211-2-21111-1-1-12-12001-211-1-10-22-220000000001-11-100000
χ35222-12-12-12-2-2-2-2-12-1-1-12-1211-2-21111-1-11-21-200-12-1-11102i−2i−2i2i000000000−iii−i00000
χ36222-12-12-12-2-2-2-2-12-1-1-12-1211-2-21111-1-11-21-200-12-1-1110−2i2i2i−2i000000000i−i−ii00000
χ374444-24-2-2-4004-44-2-2-2-20-4200000000224-2-42000000-2200000000000000000000000
χ384444-24-2-2-400-444-2-2-2-20-420000000022-424-20000002-200000000000000000000000
χ39444-24-24-2-4004-4-24-2-2-202-40000000022-242-4000000-2200000000000000000000000
χ40444-24-24-2-400-44-24-2-2-202-400000000222-4-240000002-200000000000000000000000
χ41444-2-2-2-2144444-2-21114-2-2-2-2-2-2111111-2-2-2-200-2-2111100000000000000000000000
χ42444-2-2-2-21444-4-4-2-2111-4-2-2-2-2-2-211111122220022-1-1-1-100000000000000000000000
χ43444-2-2-2-214-4-444-2-2111-4-2-22222-1-1-1-111-2-2-2-20022-1-11100000000000000000000000
χ44444-2-2-2-214-4-4-4-4-2-21114-2-22222-1-1-1-111222200-2-211-1-100000000000000000000000
χ45444-2-2-2-21-4004-4-2-2111022000033-3-3-1-1-2-22200003-31-100000000000000000000000
χ46444-2-2-2-21-4004-4-2-21110220000-3-333-1-1-2-2220000-331-100000000000000000000000
χ47444-2-2-2-21-400-44-2-2111022000033-3-3-1-122-2-20000-33-1100000000000000000000000
χ48444-2-2-2-21-400-44-2-21110220000-3-333-1-122-2-200003-3-1100000000000000000000000
χ4944-44444400000-4-4-4-440000000000000000044000000-40000000000000000000000
χ5044-44444400000-4-4-4-4400000000000000000-4-400000040000000000000000000000
χ514-4044-4-4402i−2i000000-40002i−2i2i−2i2i−2i2i−2i0000004-40000000000000000002i−2i000000000
χ524-4044-4-4402i−2i000000-40002i−2i2i−2i2i−2i2i−2i000000-44000000000000000000−2i2i000000000
χ534-4044-4-440−2i2i000000-4000−2i2i−2i2i−2i2i−2i2i0000004-4000000000000000000−2i2i000000000
χ544-4044-4-440−2i2i000000-4000−2i2i−2i2i−2i2i−2i2i000000-440000000000000000002i−2i000000000
χ5588-88-48-4-400000-8444-4000000000000000000000000000000000000000000000000
χ5688-8-48-48-4000004-844-4000000000000000000000000000000000000000000000000
χ5788-8-4-4-4-420000044-2-22000000000006-600000000000000000000000000000000000
χ5888-8-4-4-4-420000044-2-2200000000000-6600000000000000000000000000000000000
χ598-808-4-84-404i−4i00000040004i−4i−2i2i−2i2i−2i2i0000000000000000000000000000000000000
χ608-808-4-84-40−4i4i0000004000−4i4i2i−2i2i−2i2i−2i0000000000000000000000000000000000000
χ618-80-484-8-404i−4i0000004000−2i2i4i−4i−2i2i−2i2i0000000000000000000000000000000000000
χ628-80-484-8-40−4i4i00000040002i−2i−4i4i2i−2i2i−2i0000000000000000000000000000000000000
χ638-80-4-444204i−4i00006-6-2000−2i2i−2i2i4i−4i−2i2i0000000000000000000000000000000000000
χ648-80-4-444204i−4i0000-66-2000−2i2i−2i2i−2i2i4i−4i0000000000000000000000000000000000000
χ658-80-4-44420−4i4i00006-6-20002i−2i2i−2i−4i4i2i−2i0000000000000000000000000000000000000
χ668-80-4-44420−4i4i0000-66-20002i−2i2i−2i2i−2i−4i4i0000000000000000000000000000000000000

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