Finite Group Databasebeta

← Group #11791856

Character table — Group #11791856

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444444448888888888121212121212121218181818181818182424242424242424242424244848484872727272
order12222233446666666666661212121212121212444444442222444444441212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11111-1-1-1-11-11-111-1-1
χ611111111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-111111-1-1-1-1-11-11-1-111
χ711111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1-1-1-1-111111-11-1-1-111
χ811111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-1-1-11111-11-1111-1-1
χ91111-1-1111-1111-1-111-1-11-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-111-1-1ii−i−iii−i−i11-1-1i−ii−i
χ101111-1-1111-1111-1-111-1-11-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-1-1-111ii−i−iii−i−i-1-111−ii−ii
χ111111-1-1111-1111-1-111-1-11-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−iii11-1-1−ii−ii
χ121111-1-1111-1111-1-111-1-11-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-1-1-111−i−iii−i−iii-1-111i−ii−i
χ131111-1-111-11111-1-111-1-11-1-1-1-111-1-111ii−i−i−i−iii11-1-1-1-1111-1-11ii−i−i−i−iii1-1-11i−i−ii
χ141111-1-111-11111-1-111-1-11-1-1-1-111-1-111ii−i−i−i−iii11-1-1-1-111-111-1ii−i−i−i−iii-111-1−iii−i
χ151111-1-111-11111-1-111-1-11-1-1-1-111-1-111−i−iiiii−i−i11-1-1-1-1111-1-11−i−iiiii−i−i1-1-11−iii−i
χ161111-1-111-11111-1-111-1-11-1-1-1-111-1-111−i−iiiii−i−i11-1-1-1-111-111-1−i−iiiii−i−i-111-1i−i−ii
χ1722222222222222222222222222222200000000-2-2-2-2-2-2-2-200000000000000000000
χ1822222222-2-2222222222222-2-2-2-2-2-2-2-200000000-2-2-2-2222200000000000000000000
χ192222-2-2222-2222-2-222-2-22-2-222-2-222-2-200000000-2-222-2-22200000000000000000000
χ202222-2-222-22222-2-222-2-22-2-2-2-222-2-22200000000-2-22222-2-200000000000000000000
χ2122-2-22-2220022-22-2-2-22-2-22-20000000000002i−2i2i−2i2-2-220000000000002i−2i2i−2i00000000
χ2222-2-22-2220022-22-2-2-22-2-22-2000000000000−2i2i−2i2i2-2-22000000000000−2i2i−2i2i00000000
χ2322-2-22-2220022-22-2-2-22-2-22-2000000002-22-20000-222-2000000002-22-2000000000000
χ2422-2-22-2220022-22-2-2-22-2-22-200000000-22-220000-222-200000000-22-22000000000000
χ2522-2-2-22220022-2-22-2-2-22-2-220000000000002-2-222-22-20000000000002-2-2200000000
χ2622-2-2-22220022-2-22-2-2-22-2-22000000000000-222-22-22-2000000000000-222-200000000
χ2722-2-2-22220022-2-22-2-2-22-2-22000000002i−2i−2i2i0000-22-22000000002i−2i−2i2i000000000000
χ2822-2-2-22220022-2-22-2-2-22-2-2200000000−2i2i2i−2i0000-22-2200000000−2i2i2i−2i000000000000
χ294444441-2441-21111-211-2-2-21111-2-2-2-222222222000000000000-1-1-1-1-1-1-1-100000000
χ304444441-2441-21111-211-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-20000000000001111111100000000
χ314444441-2-4-41-21111-211-2-2-2-1-1-1-122222222-2-2-2-2000000000000-1-1-1-1111100000000
χ324444441-2-4-41-21111-211-2-2-2-1-1-1-12222-2-2-2-222220000000000001111-1-1-1-100000000
χ33444444-2144-21-2-2-2-21-2-2111-2-2-2-211110000000000000000222200000000-1-1-1-10000
χ34444444-2144-21-2-2-2-21-2-2111-2-2-2-211110000000000000000-2-2-2-20000000011110000
χ35444444-21-4-4-21-2-2-2-21-2-21112222-1-1-1-100000000000000002-22-200000000-11-110000
χ36444444-21-4-4-21-2-2-2-21-2-21112222-1-1-1-10000000000000000-22-22000000001-11-10000
χ374444-4-41-24-41-21-1-11-2-1-1-22211-1-1-2-2222i2i−2i−2i2i2i−2i−2i000000000000−i−iii−i−iii00000000
χ384444-4-41-24-41-21-1-11-2-1-1-22211-1-1-2-222−2i−2i2i2i−2i−2i2i2i000000000000ii−i−iii−i−i00000000
χ394444-4-41-2-441-21-1-11-2-1-1-222-1-11122-2-22i2i−2i−2i−2i−2i2i2i000000000000−i−iiiii−i−i00000000
χ404444-4-41-2-441-21-1-11-2-1-1-222-1-11122-2-2−2i−2i2i2i2i2i−2i−2i000000000000ii−i−i−i−iii00000000
χ414444-4-4-214-4-21-222-21221-1-1-2-22211-1-1000000000000000022-2-200000000-1-1110000
χ424444-4-4-214-4-21-222-21221-1-1-2-22211-1-10000000000000000-2-2220000000011-1-10000
χ434444-4-4-21-44-21-222-21221-1-122-2-2-1-11100000000000000002-2-2200000000-111-10000
χ444444-4-4-21-44-21-222-21221-1-122-2-2-1-1110000000000000000-222-2000000001-1-110000
χ4544-4-44-41-2001-2-11-1-121-12-223i−3i3i−3i00002-22-22i−2i2i−2i000000000000-11-11−ii−ii00000000
χ4644-4-44-41-2001-2-11-1-121-12-223i−3i3i−3i0000-22-22−2i2i−2i2i0000000000001-11-1i−ii−i00000000
χ4744-4-44-41-2001-2-11-1-121-12-22−3i3i−3i3i00002-22-2−2i2i−2i2i000000000000-11-11i−ii−i00000000
χ4844-4-44-41-2001-2-11-1-121-12-22−3i3i−3i3i0000-22-222i−2i2i−2i0000000000001-11-1−ii−ii00000000
χ4944-4-4-441-2001-2-1-11-12-1122-23i−3i−3i3i00002i−2i−2i2i-222-2000000000000−iii−i1-1-1100000000
χ5044-4-4-441-2001-2-1-11-12-1122-23i−3i−3i3i0000−2i2i2i−2i2-2-22000000000000i−i−ii-111-100000000
χ5144-4-4-441-2001-2-1-11-12-1122-2−3i3i3i−3i00002i−2i−2i2i2-2-22000000000000−iii−i-111-100000000
χ5244-4-4-441-2001-2-1-11-12-1122-2−3i3i3i−3i0000−2i2i2i−2i-222-2000000000000i−i−ii1-1-1100000000
χ534-44-4004400-4-4400-4400-40000000000000000000000004i−4i00000000000000000000
χ544-44-4004400-4-4400-4400-4000000000000000000000000−4i4i00000000000000000000
χ554-4-44004400-4-4-4004-400400000000000000000000004-40000000000000000000000
χ564-4-44004400-4-4-4004-40040000000000000000000000-440000000000000000000000
χ5788-8-88-8-4200-424-444-2-44-22-200000000000000000000000000000000000000000000
χ5888-8-8-88-4200-4244-44-24-4-2-2200000000000000000000000000000000000000000000
χ598-88-8002-400-24266-2-4-6-640000000000000000000000000000000000000000000000
χ608-88-8002-400-242-6-6-2-46640000000000000000000000000000000000000000000000
χ618-88-800-42004-2-4004200-2000000006i−6i000000000000000000000000000000000000
χ628-88-800-42004-2-4004200-200000000−6i6i000000000000000000000000000000000000
χ638-8-88002-400-24-26-624-66-40000000000000000000000000000000000000000000000
χ648-8-88002-400-24-2-66246-6-40000000000000000000000000000000000000000000000
χ658-8-8800-42004-2400-4-20020000006-600000000000000000000000000000000000000
χ668-8-8800-42004-2400-4-2002000000-6600000000000000000000000000000000000000

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