Finite Group Databasebeta

← Group #11920665

Character table — Group #11920665

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size11222222244666688881212121212121616161616161616161624242424242424242424242436364848484872727272
order12222366666444436662412121212366666666644881212121224242424246612124488
χ1111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ31111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111-1-111-1-11-111-1-111111-111-1-11-1-1111-1-1-1-1i−ii−iii−i−iii−i−i-1111-1-1i−ii−i
χ6111-1-111-1-11-111-1-111111-111-1-11-1-1111-1-1-1-1−ii−ii−i−iii−i−iii-1111-1-1−ii−ii
χ7111-1-111-1-11-111-1-11111-1111-1-11-1-1111-1-1-1-1i−ii−iii−i−iii−i−i1-1-1-111−ii−ii
χ8111-1-111-1-11-111-1-11111-1111-1-11-1-1111-1-1-1-1−ii−ii−i−iii−i−iii1-1-1-111i−ii−i
χ9222222222222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-10000
χ10222222222222222-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1000000000000-2-211110000
χ1122222-1-1-1-1-1-12222222200-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000
χ1222222-1-1-1-1-1-12222222200-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-2111111110000000000
χ13222-2-222-2-22-222-2-2-1-1-1-12-222-2-2-111-1-1-11111000000000000-22-1-1110000
χ14222-2-222-2-22-222-2-2-1-1-1-1-2222-2-2-111-1-1-111110000000000002-211-1-10000
χ15222-2-2-1-111-1122-2-2222200-1-111-1-2-2-1-1-111112i−2i2i−2i−i−iii−i−iii0000000000
χ16222-2-2-1-111-1122-2-2222200-1-111-1-2-2-1-1-11111−2i2i−2i2iii−i−iii−i−i0000000000
χ1722-22-22222-2-22-22-22-2-22002-2-2222-22-2-222-2-20000000000000000000000
χ1822-22-22222-2-22-22-2-111-1002-2-22-1-11-111-1-11100000000000000−i3i3−i3i30000
χ1922-22-22222-2-22-22-2-111-1002-2-22-1-11-111-1-11100000000000000i3−i3i3−i30000
χ2022-22-2-1-1-1-1112-22-22-2-2200-111-1-12-2-111-1-1110000−i3i3−i3i3−i3i3−i3i30000000000
χ2122-22-2-1-1-1-1112-22-22-2-2200-111-1-12-2-111-1-1110000i3−i3i3−i3i3−i3i3−i30000000000
χ2222-2-2222-2-2-222-2-222-2-22002-22-22-222-2-2-2-2220000000000000000000000
χ2322-2-2222-2-2-222-2-22-111-1002-22-2-11-1-11111-1-100000000000000−i3i3i3−i30000
χ2422-2-2222-2-2-222-2-22-111-1002-22-2-11-1-11111-1-100000000000000i3−i3−i3i30000
χ2522-2-22-1-1111-12-2-222-2-2200-11-11-1-22-11111-1-100003−3−333−3−330000000000
χ2622-2-22-1-1111-12-2-222-2-2200-11-11-1-22-11111-1-10000−333−3−333−30000000000
χ2733333333333-1-1-1-1000033-1-1-1-1000000000011-1-11111-1-1-1-1-1-1000011-1-1
χ2833333333333-1-1-1-1000033-1-1-1-10000000000-1-111-1-1-1-11111-1-10000-1-111
χ2933333333333-1-1-1-10000-3-3-1-1-1-1000000000011-1-11111-1-1-1-1110000-1-111
χ3033333333333-1-1-1-10000-3-3-1-1-1-10000000000-1-111-1-1-1-1111111000011-1-1
χ31333-3-333-3-33-3-1-11100003-3-1-1110000000000i−i−iiii−i−i−i−iii1-10000i−i−ii
χ32333-3-333-3-33-3-1-11100003-3-1-1110000000000−iii−i−i−iiiii−i−i1-10000−iii−i
χ33333-3-333-3-33-3-1-1110000-33-1-1110000000000i−i−iiii−i−i−i−iii-110000−iii−i
χ34333-3-333-3-33-3-1-1110000-33-1-1110000000000−iii−i−i−iiiii−i−i-110000i−i−ii
χ3544444-2-2-2-2-2-24444-2-2-2-200-2-2-2-21-2-211111110000000000000000000000
χ36444-4-4-2-222-2244-4-4-2-2-2-200-2-222122111-1-1-1-10000000000000000000000
χ3744-44-4-2-2-2-2224-44-4-222-200-222-21-221-1-111-1-10000000000000000000000
χ3844-4-44-2-2222-24-4-44-222-200-22-2212-21-1-1-1-1110000000000000000000000
χ3966666-3-3-3-3-3-3-2-2-2-20000001111000000000022-2-2-1-1-1-111110000000000
χ4066666-3-3-3-3-3-3-2-2-2-200000011110000000000-2-2221111-1-1-1-10000000000
χ41666-6-6-3-333-33-2-22200000011-1-100000000002i−2i−2i2i−i−iiiii−i−i0000000000
χ42666-6-6-3-333-33-2-22200000011-1-10000000000−2i2i2i−2iii−i−i−i−iii0000000000
χ4366-66-66666-6-6-22-22000000-222-200000000000000000000000000000000
χ4466-66-6-3-3-3-333-22-220000001-1-1100000000000000−i3i3−i3i3i3−i3i3−i30000000000
χ4566-66-6-3-3-3-333-22-220000001-1-1100000000000000i3−i3i3−i3−i3i3−i3i30000000000
χ4666-6-6666-6-6-66-222-2000000-22-2200000000000000000000000000000000
χ4766-6-66-3-3333-3-222-20000001-11-1000000000000003−3−33−333−30000000000
χ4866-6-66-3-3333-3-222-20000001-11-100000000000000−333−33−3−330000000000
χ498-80008-8000000002−2i32i3-2000000200-2−2i32i300000000000000000000000000
χ508-80008-80000000022i3−2i3-2000000200-22i3−2i300000000000000000000000000
χ518-80008-800000000-4004000000-40040000000000000000000000000000
χ528-8000-44−4i34i30000002−2i32i3-2000000-1001i3−i3−i3i33-30000000000000000000000
χ538-8000-44−4i34i300000022i3−2i3-2000000-1001−i3i3−i3i3-330000000000000000000000
χ548-8000-44−4i34i3000000-4004000000200-2002i3−2i3000000000000000000000000
χ558-8000-444i3−4i30000002−2i32i3-2000000-1001i3−i3i3−i3-330000000000000000000000
χ568-8000-444i3−4i300000022i3−2i3-2000000-1001−i3i3i3−i33-30000000000000000000000
χ578-8000-444i3−4i3000000-4004000000200-200−2i32i3000000000000000000000000

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