Finite Group Databasebeta

← Group #11785335

Character table — Group #11785335

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size11112244888899991616161616161818181818183636363636363636363636363636363672727272
order12442424361212224466612121224444424444444444444448888
χ1111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111-1-1111111111-1-11-1-1111111-1-111-1-1-1-111111111-1-1-1-1
χ6111111-1-1111111111-1-11-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111-1-1111111111-1-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111-1-1111111111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ911-1-1-111-111-1-111-1-1-1111-1-1-1111-1-11-11-111-1-1ii−i−iii−i−ii−ii−i
χ1011-1-1-111-111-1-111-1-1-1111-1-1-1111-1-11-11-111-1-1−i−iii−i−iii−ii−ii
χ1111-1-1-111-111-1-111-1-1-1111-1-1-11-1-1111-1-11-1-111ii−i−i−i−iiii−i−ii
χ1211-1-1-111-111-1-111-1-1-1111-1-1-11-1-1111-1-11-1-111−i−iiiii−i−i−iii−i
χ1311-1-1-11-1111-1-111-1-1-1-1-1111-1111-1-1-111-1-1-111ii−i−iii−i−i−ii−ii
χ1411-1-1-11-1111-1-111-1-1-1-1-1111-1111-1-1-111-1-1-111−i−iii−i−iiii−ii−i
χ1511-1-1-11-1111-1-111-1-1-1-1-1111-11-1-111-11-1111-1-1ii−i−i−i−iii−iii−i
χ1611-1-1-11-1111-1-111-1-1-1-1-1111-11-1-111-11-1111-1-1−i−iiiii−i−ii−i−ii
χ17222222222222-2-2-2-2222222-2-20000-2-2000000000000000000
χ18222222-2-22222-2-2-2-22-2-22-2-2-2-2000022000000000000000000
χ192222-2-20022222222-200-200-2-2222200-2-20000000000000000
χ202222-2-20022222222-200-200-2-2-2-2-2-200220000000000000000
χ212222-2-2002222-2-2-2-2-200-20022000000002i−2i2i−2i000000000000
χ222222-2-2002222-2-2-2-2-200-2002200000000−2i2i−2i2i000000000000
χ2322-2-22-20022-2-222-2-2200-2002-222-2-200-220000000000000000
χ2422-2-22-20022-2-222-2-2200-2002-2-2-222002-20000000000000000
χ2522-2-22-20022-2-2-2-222200-200-22000000002i−2i−2i2i000000000000
χ2622-2-22-20022-2-2-2-222200-200-2200000000−2i2i2i−2i000000000000
χ2722-2-2-222-222-2-2-2-222-2222-2-22-20000-22000000000000000000
χ2822-2-2-22-2222-2-2-2-222-2-2-22222-200002-2000000000000000000
χ292-22i−2i00002-22i−2i2-22i−2i000000002-22i−2i000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i0000
χ302-22i−2i00002-22i−2i2-22i−2i000000002-22i−2i00000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i0000
χ312-22i−2i00002-22i−2i2-22i−2i00000000-22−2i2i000000001+i−1−i1−i−1+i−1−i1+i−1+i1−i0000
χ322-22i−2i00002-22i−2i2-22i−2i00000000-22−2i2i00000000−1−i1+i−1+i1−i1+i−1−i1−i−1+i0000
χ332-2−2i2i00002-2−2i2i2-2−2i2i000000002-2−2i2i000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i0000
χ342-2−2i2i00002-2−2i2i2-2−2i2i000000002-2−2i2i00000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i0000
χ352-2−2i2i00002-2−2i2i2-2−2i2i00000000-222i−2i000000001−i−1+i1+i−1−i−1+i1−i−1−i1+i0000
χ362-2−2i2i00002-2−2i2i2-2−2i2i00000000-222i−2i00000000−1+i1−i−1−i1+i1−i−1+i1+i−1−i0000
χ374-44i−4i00004-44i−4i-44−4i4i00000000000000000000000000000000
χ384-4−4i4i00004-4−4i4i-444i−4i00000000000000000000000000000000
χ3988888888-1-1-1-10000-1-1-1-1-1-100000000000000000000000000
χ40888888-8-8-1-1-1-10000-111-11100000000000000000000000000
χ418888-8-800-1-1-1-1000013-313-300000000000000000000000000
χ428888-8-800-1-1-1-100001-331-3300000000000000000000000000
χ4388-8-88-800-1-1110000-13-31-3300000000000000000000000000
χ4488-8-88-800-1-1110000-1-3313-300000000000000000000000000
χ4588-8-8-888-8-1-11100001-1-1-11100000000000000000000000000
χ4688-8-8-88-88-1-1110000111-1-1-100000000000000000000000000
χ4716-1616i−16i0000-22−2i2i000000000000000000000000000000000000
χ4816-16−16i16i0000-222i−2i000000000000000000000000000000000000

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