Finite Group Databasebeta

← Group #11921649

Character table — Group #11921649

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1122668812121212121616182424243636112266881212121212161618242424363611226688121212121216161824242436361122668812121212121616182424243636
order1236443628122424362612122844121244121248122424121241212124822664466281224246626121228441212441212481224241212412121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111-1-11-1-1111-111-1-111111111-1-11-1-1111-111-1-111111111-1-11-1-1111-111-1-111111111-1-11-1-1111-111-1-1
χ31111-11111111111-11-1-1-1-11111-11111111111-11-1-1-1-11111-11111111111-11-1-1-1-11111-11111111111-11-1-1-1-1
χ41111-1111-1-11-1-111-1-1-1-1111111-1111-1-11-1-111-1-1-1-1111111-1111-1-11-1-111-1-1-1-1111111-1111-1-11-1-111-1-1-1-111
χ5222222-1-100200-1-120-1-100222222-1-100200-1-120-1-100222222-1-100200-1-120-1-100222222-1-100200-1-120-1-100
χ62222-22-1-100200-1-1-2011002222-22-1-100200-1-1-2011002222-22-1-100200-1-1-2011002222-22-1-100200-1-1-201100
χ722-1-1022222-1-1-1-1-10-1000022-1-1022222-1-1-1-1-10-1000022-1-1022222-1-1-1-1-10-1000022-1-1022222-1-1-1-1-10-10000
χ822-1-10222-2-2-111-1-101000022-1-10222-2-2-111-1-101000022-1-10222-2-2-111-1-101000022-1-10222-2-2-111-1-1010000
χ933333-1001-1-1-1-100-11001-133333-1001-1-1-1-100-11001-133333-1001-1-1-1-100-11001-133333-1001-1-1-1-100-11001-1
χ1033333-100-11-11100-1-100-1133333-100-11-11100-1-100-1133333-100-11-11100-1-100-1133333-100-11-11100-1-100-11
χ113333-3-1001-1-1-1-1001100-113333-3-1001-1-1-1-1001100-113333-3-1001-1-1-1-1001100-113333-3-1001-1-1-1-1001100-11
χ123333-3-100-11-111001-1001-13333-3-100-11-111001-1001-13333-3-100-11-111001-1001-13333-3-100-11-111001-1001-1
χ1344-2-204-2-200-2001100000044-2-204-2-200-2001100000044-2-204-2-200-2001100000044-2-204-2-200-20011000000
χ144-44-4001-1000001-1003−3004-44-4001-1000001-1003−3004-44-4001-1000001-1003−3004-44-4001-1000001-1003−300
χ154-44-4001-1000001-100−33004-44-4001-1000001-100−33004-44-4001-1000001-100−33004-44-4001-1000001-100−3300
χ164-44-400-2200000-220000004-44-400-2200000-220000004-44-400-2200000-220000004-44-400-2200000-22000000
χ174-4-2200-220006−61-10000004-4-2200-220006−61-10000004-4-2200-220006−61-10000004-4-2200-220006−61-1000000
χ184-4-2200-22000−661-10000004-4-2200-22000−661-10000004-4-2200-22000−661-10000004-4-2200-22000−661-1000000
χ1966-3-30-2002-2111000-1000066-3-30-2002-2111000-1000066-3-30-2002-2111000-1000066-3-30-2002-2111000-10000
χ2066-3-30-200-221-1-10001000066-3-30-200-221-1-10001000066-3-30-200-221-1-10001000066-3-30-200-221-1-100010000
χ218-8-44002-200000-110000008-8-44002-200000-110000008-8-44002-200000-110000008-8-44002-200000-11000000
χ22111111111111111111111iiiiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ2311111111-1-11-1-1111-111-1-1iiiiiiii−i−ii−i−iiii−iii−i−i-1-1-1-1-1-1-1-111-111-1-1-11-1-111−i−i−i−i−i−i−i−iii−iii−i−i−ii−i−iii
χ241111-11111111111-11-1-1-1-1iiii−iiiiiiiiiii−ii−i−i−i−i-1-1-1-11-1-1-1-1-1-1-1-1-1-11-11111−i−i−i−ii−i−i−i−i−i−i−i−i−i−ii−iiiii
χ251111-1111-1-11-1-111-1-1-1-111iiii−iiii−i−ii−i−iii−i−i−i−iii-1-1-1-11-1-1-111-111-1-11111-1-1−i−i−i−ii−i−i−iii−iii−i−iiiii−i−i
χ26222222-1-100200-1-120-1-1002i2i2i2i2i2i−i−i002i00−i−i2i0−i−i00-2-2-2-2-2-21100-20011-201100−2i−2i−2i−2i−2i−2iii00−2i00ii−2i0ii00
χ272222-22-1-100200-1-1-2011002i2i2i2i−2i2i−i−i002i00−i−i−2i0ii00-2-2-2-22-21100-2001120-1-100−2i−2i−2i−2i2i−2iii00−2i00ii2i0−i−i00
χ2822-1-1022222-1-1-1-1-10-100002i2i−i−i02i2i2i2i2i−i−i−i−i−i0−i0000-2-2110-2-2-2-2-211111010000−2i−2iii0−2i−2i−2i−2i−2iiiiii0i0000
χ2922-1-10222-2-2-111-1-10100002i2i−i−i02i2i2i−2i−2i−iii−i−i0i0000-2-2110-2-2-2221-1-1110-10000−2i−2iii0−2i−2i−2i2i2ii−i−iii0−i0000
χ3033333-1001-1-1-1-100-11001-13i3i3i3i3i−i00i−i−i−i−i00−ii00i−i-3-3-3-3-3100-11111001-100-11−3i−3i−3i−3i−3ii00−iiiii00i−i00−ii
χ3133333-100-11-11100-1-100-113i3i3i3i3i−i00−ii−iii00−i−i00−ii-3-3-3-3-31001-11-1-10011001-1−3i−3i−3i−3i−3ii00i−ii−i−i00ii00i−i
χ323333-3-1001-1-1-1-1001100-113i3i3i3i−3i−i00i−i−i−i−i00ii00−ii-3-3-3-33100-1111100-1-1001-1−3i−3i−3i−3i3ii00−iiiii00−i−i00i−i
χ333333-3-100-11-111001-1001-13i3i3i3i−3i−i00−ii−iii00i−i00i−i-3-3-3-331001-11-1-100-1100-11−3i−3i−3i−3i3ii00i−ii−i−i00−ii00−ii
χ3444-2-204-2-200-200110000004i4i−2i−2i04i−2i−2i00−2i00ii000000-4-4220-42200200-1-1000000−4i−4i2i2i0−4i2i2i002i00−i−i000000
χ354-44-4001-1000001-1003−3004i−4i4i−4i00i−i00000i−i00i3−i300-44-4400-1100000-1100−3300−4i4i−4i4i00−ii00000−ii00−i3i300
χ364-44-4001-1000001-100−33004i−4i4i−4i00i−i00000i−i00−i3i300-44-4400-1100000-11003−300−4i4i−4i4i00−ii00000−ii00i3−i300
χ374-44-400-2200000-220000004i−4i4i−4i00−2i2i00000−2i2i000000-44-44002-2000002-2000000−4i4i−4i4i002i−2i000002i−2i000000
χ384-4-2200-220006−61-10000004i−4i−2i2i00−2i2i000i6−i6i−i000000-442-2002-2000−66-11000000−4i4i2i−2i002i−2i000−i6i6−ii000000
χ394-4-2200-22000−661-10000004i−4i−2i2i00−2i2i000−i6i6i−i000000-442-2002-20006−6-11000000−4i4i2i−2i002i−2i000i6−i6−ii000000
χ4066-3-30-2002-2111000-100006i6i−3i−3i0−2i002i−2iiii000−i0000-6-6330200-22-1-1-100010000−6i−6i3i3i02i00−2i2i−i−i−i000i0000
χ4166-3-30-200-221-1-1000100006i6i−3i−3i0−2i00−2i2ii−i−i000i0000-6-63302002-2-111000-10000−6i−6i3i3i02i002i−2i−iii000−i0000
χ428-8-44002-200000-110000008i−8i−4i4i002i−2i00000−ii000000-884-400-22000001-1000000−8i8i4i−4i00−2i2i00000i−i000000
χ43111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4411111111-1-11-1-1111-111-1-1-1-1-1-1-1-1-1-111-111-1-1-11-1-11111111111-1-11-1-1111-111-1-1-1-1-1-1-1-1-1-111-111-1-1-11-1-111
χ451111-11111111111-11-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11-111111111-11111111111-11-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11-11111
χ461111-1111-1-11-1-111-1-1-1-111-1-1-1-11-1-1-111-111-1-11111-1-11111-1111-1-11-1-111-1-1-1-111-1-1-1-11-1-1-111-111-1-11111-1-1
χ47222222-1-100200-1-120-1-100-2-2-2-2-2-21100-20011-201100222222-1-100200-1-120-1-100-2-2-2-2-2-21100-20011-201100
χ482222-22-1-100200-1-1-201100-2-2-2-22-21100-2001120-1-1002222-22-1-100200-1-1-201100-2-2-2-22-21100-2001120-1-100
χ4922-1-1022222-1-1-1-1-10-10000-2-2110-2-2-2-2-21111101000022-1-1022222-1-1-1-1-10-10000-2-2110-2-2-2-2-211111010000
χ5022-1-10222-2-2-111-1-1010000-2-2110-2-2-2221-1-1110-1000022-1-10222-2-2-111-1-1010000-2-2110-2-2-2221-1-1110-10000
χ5133333-1001-1-1-1-100-11001-1-3-3-3-3-3100-11111001-100-1133333-1001-1-1-1-100-11001-1-3-3-3-3-3100-11111001-100-11
χ5233333-100-11-11100-1-100-11-3-3-3-3-31001-11-1-10011001-133333-100-11-11100-1-100-11-3-3-3-3-31001-11-1-10011001-1
χ533333-3-1001-1-1-1-1001100-11-3-3-3-33100-1111100-1-1001-13333-3-1001-1-1-1-1001100-11-3-3-3-33100-1111100-1-1001-1
χ543333-3-100-11-111001-1001-1-3-3-3-331001-11-1-100-1100-113333-3-100-11-111001-1001-1-3-3-3-331001-11-1-100-1100-11
χ5544-2-204-2-200-20011000000-4-4220-42200200-1-100000044-2-204-2-200-20011000000-4-4220-42200200-1-1000000
χ564-44-4001-1000001-1003−300-44-4400-1100000-1100−33004-44-4001-1000001-1003−300-44-4400-1100000-1100−3300
χ574-44-4001-1000001-100−3300-44-4400-1100000-11003−3004-44-4001-1000001-100−3300-44-4400-1100000-11003−300
χ584-44-400-2200000-22000000-44-44002-2000002-20000004-44-400-2200000-22000000-44-44002-2000002-2000000
χ594-4-2200-220006−61-1000000-442-2002-2000−66-110000004-4-2200-220006−61-1000000-442-2002-2000−66-11000000
χ604-4-2200-22000−661-1000000-442-2002-20006−6-110000004-4-2200-22000−661-1000000-442-2002-20006−6-11000000
χ6166-3-30-2002-2111000-10000-6-6330200-22-1-1-10001000066-3-30-2002-2111000-10000-6-6330200-22-1-1-100010000
χ6266-3-30-200-221-1-100010000-6-63302002-2-111000-1000066-3-30-200-221-1-100010000-6-63302002-2-111000-10000
χ638-8-44002-200000-11000000-884-400-22000001-10000008-8-44002-200000-11000000-884-400-22000001-1000000
χ64111111111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiii
χ6511111111-1-11-1-1111-111-1-1−i−i−i−i−i−i−i−iii−iii−i−i−ii−i−iii-1-1-1-1-1-1-1-111-111-1-1-11-1-111iiiiiiii−i−ii−i−iiii−iii−i−i
χ661111-11111111111-11-1-1-1-1−i−i−i−ii−i−i−i−i−i−i−i−i−i−ii−iiiii-1-1-1-11-1-1-1-1-1-1-1-1-1-11-11111iiii−iiiiiiiiiii−ii−i−i−i−i
χ671111-1111-1-11-1-111-1-1-1-111−i−i−i−ii−i−i−iii−iii−i−iiiii−i−i-1-1-1-11-1-1-111-111-1-11111-1-1iiii−iiii−i−ii−i−iii−i−i−i−iii
χ68222222-1-100200-1-120-1-100−2i−2i−2i−2i−2i−2iii00−2i00ii−2i0ii00-2-2-2-2-2-21100-20011-2011002i2i2i2i2i2i−i−i002i00−i−i2i0−i−i00
χ692222-22-1-100200-1-1-201100−2i−2i−2i−2i2i−2iii00−2i00ii2i0−i−i00-2-2-2-22-21100-2001120-1-1002i2i2i2i−2i2i−i−i002i00−i−i−2i0ii00
χ7022-1-1022222-1-1-1-1-10-10000−2i−2iii0−2i−2i−2i−2i−2iiiiii0i0000-2-2110-2-2-2-2-2111110100002i2i−i−i02i2i2i2i2i−i−i−i−i−i0−i0000
χ7122-1-10222-2-2-111-1-1010000−2i−2iii0−2i−2i−2i2i2ii−i−iii0−i0000-2-2110-2-2-2221-1-1110-100002i2i−i−i02i2i2i−2i−2i−iii−i−i0i0000
χ7233333-1001-1-1-1-100-11001-1−3i−3i−3i−3i−3ii00−iiiii00i−i00−ii-3-3-3-3-3100-11111001-100-113i3i3i3i3i−i00i−i−i−i−i00−ii00i−i
χ7333333-100-11-11100-1-100-11−3i−3i−3i−3i−3ii00i−ii−i−i00ii00i−i-3-3-3-3-31001-11-1-10011001-13i3i3i3i3i−i00−ii−iii00−i−i00−ii
χ743333-3-1001-1-1-1-1001100-11−3i−3i−3i−3i3ii00−iiiii00−i−i00i−i-3-3-3-33100-1111100-1-1001-13i3i3i3i−3i−i00i−i−i−i−i00ii00−ii
χ753333-3-100-11-111001-1001-1−3i−3i−3i−3i3ii00i−ii−i−i00−ii00−ii-3-3-3-331001-11-1-100-1100-113i3i3i3i−3i−i00−ii−iii00i−i00i−i
χ7644-2-204-2-200-20011000000−4i−4i2i2i0−4i2i2i002i00−i−i000000-4-4220-42200200-1-10000004i4i−2i−2i04i−2i−2i00−2i00ii000000
χ774-44-4001-1000001-1003−300−4i4i−4i4i00−ii00000−ii00−i3i300-44-4400-1100000-1100−33004i−4i4i−4i00i−i00000i−i00i3−i300
χ784-44-4001-1000001-100−3300−4i4i−4i4i00−ii00000−ii00i3−i300-44-4400-1100000-11003−3004i−4i4i−4i00i−i00000i−i00−i3i300
χ794-44-400-2200000-22000000−4i4i−4i4i002i−2i000002i−2i000000-44-44002-2000002-20000004i−4i4i−4i00−2i2i00000−2i2i000000
χ804-4-2200-220006−61-1000000−4i4i2i−2i002i−2i000−i6i6−ii000000-442-2002-2000−66-110000004i−4i−2i2i00−2i2i000i6−i6i−i000000
χ814-4-2200-22000−661-1000000−4i4i2i−2i002i−2i000i6−i6−ii000000-442-2002-20006−6-110000004i−4i−2i2i00−2i2i000−i6i6i−i000000
χ8266-3-30-2002-2111000-10000−6i−6i3i3i02i00−2i2i−i−i−i000i0000-6-6330200-22-1-1-1000100006i6i−3i−3i0−2i002i−2iiii000−i0000
χ8366-3-30-200-221-1-100010000−6i−6i3i3i02i002i−2i−iii000−i0000-6-63302002-2-111000-100006i6i−3i−3i0−2i00−2i2ii−i−i000i0000
χ848-8-44002-200000-11000000−8i8i4i−4i00−2i2i00000i−i000000-884-400-22000001-10000008i−8i−4i4i002i−2i00000−ii000000

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