Finite Group Databasebeta

← Group #11920937

Character table — Group #11920937

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1233366666632323236363636123336666663232323636363612333666666323232363636361233366666632323236363636
order13244461212121233324884124444121212121212121244882624446121212126662488412444412121212121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1
χ322222222222-1-1-1000022222222222-1-1-1000022222222222-1-1-1000022222222222-1-1-10000
χ42-12222-1-1-1-1-12-1-100002-12222-1-1-1-1-12-1-100002-12222-1-1-1-1-12-1-100002-12222-1-1-1-1-12-1-10000
χ52-12222-1-1-1-1-1-12-100002-12222-1-1-1-1-1-12-100002-12222-1-1-1-1-1-12-100002-12222-1-1-1-1-1-12-10000
χ62-12222-1-1-1-1-1-1-1200002-12222-1-1-1-1-1-1-1200002-12222-1-1-1-1-1-1-1200002-12222-1-1-1-1-1-1-120000
χ7333-1-1-13-1-1-1-100011-1-1333-1-1-13-1-1-1-100011-1-1333-1-1-13-1-1-1-100011-1-1333-1-1-13-1-1-1-100011-1-1
χ8333-1-1-13-1-1-1-1000-1-111333-1-1-13-1-1-1-1000-1-111333-1-1-13-1-1-1-1000-1-111333-1-1-13-1-1-1-1000-1-111
χ933-1−1+2i−1−2i1-111−1+2i−1−2i0001-1i−i33-1−1+2i−1−2i1-111−1+2i−1−2i0001-1i−i33-1−1+2i−1−2i1-111−1+2i−1−2i0001-1i−i33-1−1+2i−1−2i1-111−1+2i−1−2i0001-1i−i
χ1033-1−1+2i−1−2i1-111−1+2i−1−2i000-11−ii33-1−1+2i−1−2i1-111−1+2i−1−2i000-11−ii33-1−1+2i−1−2i1-111−1+2i−1−2i000-11−ii33-1−1+2i−1−2i1-111−1+2i−1−2i000-11−ii
χ1133-1−1−2i−1+2i1-111−1−2i−1+2i0001-1−ii33-1−1−2i−1+2i1-111−1−2i−1+2i0001-1−ii33-1−1−2i−1+2i1-111−1−2i−1+2i0001-1−ii33-1−1−2i−1+2i1-111−1−2i−1+2i0001-1−ii
χ1233-1−1−2i−1+2i1-111−1−2i−1+2i000-11i−i33-1−1−2i−1+2i1-111−1−2i−1+2i000-11i−i33-1−1−2i−1+2i1-111−1−2i−1+2i000-11i−i33-1−1−2i−1+2i1-111−1−2i−1+2i000-11i−i
χ1366-222-2-2-2-222000000066-222-2-2-2-222000000066-222-2-2-2-222000000066-222-2-2-2-2220000000
χ146-36-2-2-2-3111100000006-36-2-2-2-3111100000006-36-2-2-2-3111100000006-36-2-2-2-311110000000
χ156-3-222-211+231−23-1-100000006-3-222-211+231−23-1-100000006-3-222-211+231−23-1-100000006-3-222-211+231−23-1-10000000
χ166-3-222-211−231+23-1-100000006-3-222-211−231+23-1-100000006-3-222-211−231+23-1-100000006-3-222-211−231+23-1-10000000
χ176-3-2−2+4i−2−4i21-1-11−2i1+2i00000006-3-2−2+4i−2−4i21-1-11−2i1+2i00000006-3-2−2+4i−2−4i21-1-11−2i1+2i00000006-3-2−2+4i−2−4i21-1-11−2i1+2i0000000
χ186-3-2−2−4i−2+4i21-1-11+2i1−2i00000006-3-2−2−4i−2+4i21-1-11+2i1−2i00000006-3-2−2−4i−2+4i21-1-11+2i1−2i00000006-3-2−2−4i−2+4i21-1-11+2i1−2i0000000
χ19111111111111111111iiiiiiiiiiiiiiiiii-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
χ2011111111111111-1-1-1-1iiiiiiiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii
χ2122222222222-1-1-100002i2i2i2i2i2i2i2i2i2i2i−i−i−i0000-2-2-2-2-2-2-2-2-2-2-21110000−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2iiii0000
χ222-12222-1-1-1-1-12-1-100002i−i2i2i2i2i−i−i−i−i−i2i−i−i0000-21-2-2-2-211111-2110000−2ii−2i−2i−2i−2iiiiii−2iii0000
χ232-12222-1-1-1-1-1-12-100002i−i2i2i2i2i−i−i−i−i−i−i2i−i0000-21-2-2-2-2111111-210000−2ii−2i−2i−2i−2iiiiiii−2ii0000
χ242-12222-1-1-1-1-1-1-1200002i−i2i2i2i2i−i−i−i−i−i−i−i2i0000-21-2-2-2-21111111-20000−2ii−2i−2i−2i−2iiiiiiii−2i0000
χ25333-1-1-13-1-1-1-100011-1-13i3i3i−i−i−i3i−i−i−i−i000ii−i−i-3-3-3111-31111000-1-111−3i−3i−3iiii−3iiiii000−i−iii
χ26333-1-1-13-1-1-1-1000-1-1113i3i3i−i−i−i3i−i−i−i−i000−i−iii-3-3-3111-3111100011-1-1−3i−3i−3iiii−3iiiii000ii−i−i
χ2733-1−1+2i−1−2i1-111−1+2i−1−2i0001-1i−i3i3i−i−2−i2−ii−iii−2−i2−i000i−i-11-3-311−2i1+2i-11-1-11−2i1+2i000-11−ii−3i−3ii2+i−2+i−ii−i−i2+i−2+i000−ii1-1
χ2833-1−1+2i−1−2i1-111−1+2i−1−2i000-11−ii3i3i−i−2−i2−ii−iii−2−i2−i000−ii1-1-3-311−2i1+2i-11-1-11−2i1+2i0001-1i−i−3i−3ii2+i−2+i−ii−i−i2+i−2+i000i−i-11
χ2933-1−1−2i−1+2i1-111−1−2i−1+2i0001-1−ii3i3i−i2−i−2−ii−iii2−i−2−i000i−i1-1-3-311+2i1−2i-11-1-11+2i1−2i000-11i−i−3i−3ii−2+i2+i−ii−i−i−2+i2+i000−ii-11
χ3033-1−1−2i−1+2i1-111−1−2i−1+2i000-11i−i3i3i−i2−i−2−ii−iii2−i−2−i000−ii-11-3-311+2i1−2i-11-1-11+2i1−2i0001-1−ii−3i−3ii−2+i2+i−ii−i−i−2+i2+i000i−i1-1
χ3166-222-2-2-2-22200000006i6i−2i2i2i−2i−2i−2i−2i2i2i0000000-6-62-2-22222-2-20000000−6i−6i2i−2i−2i2i2i2i2i−2i−2i0000000
χ326-36-2-2-2-3111100000006i−3i6i−2i−2i−2i−3iiiii0000000-63-62223-1-1-1-10000000−6i3i−6i2i2i2i3i−i−i−i−i0000000
χ336-3-222-211+231−23-1-100000006i−3i−2i2i2i−2ii2ζ2−ζ7−2ζ10−ζ11−2ζ2−ζ7+2ζ10−ζ11−i−i0000000-632-2-22-1−1−23−1+23110000000−6i3i2i−2i−2i2i−i−2ζ2+ζ7+2ζ10+ζ112ζ2+ζ7−2ζ10+ζ11ii0000000
χ346-3-222-211−231+23-1-100000006i−3i−2i2i2i−2ii−2ζ2−ζ7+2ζ10−ζ112ζ2−ζ7−2ζ10−ζ11−i−i0000000-632-2-22-1−1+23−1−23110000000−6i3i2i−2i−2i2i−i2ζ2+ζ7−2ζ10+ζ11−2ζ2+ζ7+2ζ10+ζ11ii0000000
χ356-3-2−2+4i−2−4i21-1-11−2i1+2i00000006i−3i−2i−4−2i4−2i2ii−i−i2+i−2+i0000000-6322−4i2+4i-2-111−1+2i−1−2i0000000−6i3i2i4+2i−4+2i−2i−iii−2−i2−i0000000
χ366-3-2−2−4i−2+4i21-1-11+2i1−2i00000006i−3i−2i4−2i−4−2i2ii−i−i−2+i2+i0000000-6322+4i2−4i-2-111−1−2i−1+2i0000000−6i3i2i−4+2i4+2i−2i−iii2−i−2−i0000000
χ37111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3811111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ3922222222222-1-1-10000-2-2-2-2-2-2-2-2-2-2-2111000022222222222-1-1-10000-2-2-2-2-2-2-2-2-2-2-21110000
χ402-12222-1-1-1-1-12-1-10000-21-2-2-2-211111-21100002-12222-1-1-1-1-12-1-10000-21-2-2-2-211111-2110000
χ412-12222-1-1-1-1-1-12-10000-21-2-2-2-2111111-2100002-12222-1-1-1-1-1-12-10000-21-2-2-2-2111111-210000
χ422-12222-1-1-1-1-1-1-120000-21-2-2-2-21111111-200002-12222-1-1-1-1-1-1-120000-21-2-2-2-21111111-20000
χ43333-1-1-13-1-1-1-100011-1-1-3-3-3111-31111000-1-111333-1-1-13-1-1-1-100011-1-1-3-3-3111-31111000-1-111
χ44333-1-1-13-1-1-1-1000-1-111-3-3-3111-3111100011-1-1333-1-1-13-1-1-1-1000-1-111-3-3-3111-3111100011-1-1
χ4533-1−1+2i−1−2i1-111−1+2i−1−2i0001-1i−i-3-311−2i1+2i-11-1-11−2i1+2i000-11−ii33-1−1+2i−1−2i1-111−1+2i−1−2i0001-1i−i-3-311−2i1+2i-11-1-11−2i1+2i000-11−ii
χ4633-1−1+2i−1−2i1-111−1+2i−1−2i000-11−ii-3-311−2i1+2i-11-1-11−2i1+2i0001-1i−i33-1−1+2i−1−2i1-111−1+2i−1−2i000-11−ii-3-311−2i1+2i-11-1-11−2i1+2i0001-1i−i
χ4733-1−1−2i−1+2i1-111−1−2i−1+2i0001-1−ii-3-311+2i1−2i-11-1-11+2i1−2i000-11i−i33-1−1−2i−1+2i1-111−1−2i−1+2i0001-1−ii-3-311+2i1−2i-11-1-11+2i1−2i000-11i−i
χ4833-1−1−2i−1+2i1-111−1−2i−1+2i000-11i−i-3-311+2i1−2i-11-1-11+2i1−2i0001-1−ii33-1−1−2i−1+2i1-111−1−2i−1+2i000-11i−i-3-311+2i1−2i-11-1-11+2i1−2i0001-1−ii
χ4966-222-2-2-2-2220000000-6-62-2-22222-2-2000000066-222-2-2-2-2220000000-6-62-2-22222-2-20000000
χ506-36-2-2-2-311110000000-63-62223-1-1-1-100000006-36-2-2-2-311110000000-63-62223-1-1-1-10000000
χ516-3-222-211+231−23-1-10000000-632-2-22-1−1−23−1+231100000006-3-222-211+231−23-1-10000000-632-2-22-1−1−23−1+23110000000
χ526-3-222-211−231+23-1-10000000-632-2-22-1−1+23−1−231100000006-3-222-211−231+23-1-10000000-632-2-22-1−1+23−1−23110000000
χ536-3-2−2+4i−2−4i21-1-11−2i1+2i0000000-6322−4i2+4i-2-111−1+2i−1−2i00000006-3-2−2+4i−2−4i21-1-11−2i1+2i0000000-6322−4i2+4i-2-111−1+2i−1−2i0000000
χ546-3-2−2−4i−2+4i21-1-11+2i1−2i0000000-6322+4i2−4i-2-111−1−2i−1+2i00000006-3-2−2−4i−2+4i21-1-11+2i1−2i0000000-6322+4i2−4i-2-111−1−2i−1+2i0000000
χ55111111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiii
χ5611111111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiiiiiiiiiiiii−i−i−i−i
χ5722222222222-1-1-10000−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2iiii0000-2-2-2-2-2-2-2-2-2-2-211100002i2i2i2i2i2i2i2i2i2i2i−i−i−i0000
χ582-12222-1-1-1-1-12-1-10000−2ii−2i−2i−2i−2iiiiii−2iii0000-21-2-2-2-211111-21100002i−i2i2i2i2i−i−i−i−i−i2i−i−i0000
χ592-12222-1-1-1-1-1-12-10000−2ii−2i−2i−2i−2iiiiiii−2ii0000-21-2-2-2-2111111-2100002i−i2i2i2i2i−i−i−i−i−i−i2i−i0000
χ602-12222-1-1-1-1-1-1-120000−2ii−2i−2i−2i−2iiiiiiii−2i0000-21-2-2-2-21111111-200002i−i2i2i2i2i−i−i−i−i−i−i−i2i0000
χ61333-1-1-13-1-1-1-100011-1-1−3i−3i−3iiii−3iiiii000−i−iii-3-3-3111-31111000-1-1113i3i3i−i−i−i3i−i−i−i−i000ii−i−i
χ62333-1-1-13-1-1-1-1000-1-111−3i−3i−3iiii−3iiiii000ii−i−i-3-3-3111-3111100011-1-13i3i3i−i−i−i3i−i−i−i−i000−i−iii
χ6333-1−1+2i−1−2i1-111−1+2i−1−2i0001-1i−i−3i−3ii2+i−2+i−ii−i−i2+i−2+i000−ii1-1-3-311−2i1+2i-11-1-11−2i1+2i000-11−ii3i3i−i−2−i2−ii−iii−2−i2−i000i−i-11
χ6433-1−1+2i−1−2i1-111−1+2i−1−2i000-11−ii−3i−3ii2+i−2+i−ii−i−i2+i−2+i000i−i-11-3-311−2i1+2i-11-1-11−2i1+2i0001-1i−i3i3i−i−2−i2−ii−iii−2−i2−i000−ii1-1
χ6533-1−1−2i−1+2i1-111−1−2i−1+2i0001-1−ii−3i−3ii−2+i2+i−ii−i−i−2+i2+i000−ii-11-3-311+2i1−2i-11-1-11+2i1−2i000-11i−i3i3i−i2−i−2−ii−iii2−i−2−i000i−i1-1
χ6633-1−1−2i−1+2i1-111−1−2i−1+2i000-11i−i−3i−3ii−2+i2+i−ii−i−i−2+i2+i000i−i1-1-3-311+2i1−2i-11-1-11+2i1−2i0001-1−ii3i3i−i2−i−2−ii−iii2−i−2−i000−ii-11
χ6766-222-2-2-2-2220000000−6i−6i2i−2i−2i2i2i2i2i−2i−2i0000000-6-62-2-22222-2-200000006i6i−2i2i2i−2i−2i−2i−2i2i2i0000000
χ686-36-2-2-2-311110000000−6i3i−6i2i2i2i3i−i−i−i−i0000000-63-62223-1-1-1-100000006i−3i6i−2i−2i−2i−3iiiii0000000
χ696-3-222-211+231−23-1-10000000−6i3i2i−2i−2i2i−i−2ζ2+ζ7+2ζ10+ζ112ζ2+ζ7−2ζ10+ζ11ii0000000-632-2-22-1−1−23−1+231100000006i−3i−2i2i2i−2ii2ζ2−ζ7−2ζ10−ζ11−2ζ2−ζ7+2ζ10−ζ11−i−i0000000
χ706-3-222-211−231+23-1-10000000−6i3i2i−2i−2i2i−i2ζ2+ζ7−2ζ10+ζ11−2ζ2+ζ7+2ζ10+ζ11ii0000000-632-2-22-1−1+23−1−231100000006i−3i−2i2i2i−2ii−2ζ2−ζ7+2ζ10−ζ112ζ2−ζ7−2ζ10−ζ11−i−i0000000
χ716-3-2−2+4i−2−4i21-1-11−2i1+2i0000000−6i3i2i4+2i−4+2i−2i−iii−2−i2−i0000000-6322−4i2+4i-2-111−1+2i−1−2i00000006i−3i−2i−4−2i4−2i2ii−i−i2+i−2+i0000000
χ726-3-2−2−4i−2+4i21-1-11+2i1−2i0000000−6i3i2i−4+2i4+2i−2i−iii2−i−2−i0000000-6322+4i2−4i-2-111−1−2i−1+2i00000006i−3i−2i4−2i−4−2i2ii−i−i−2+i2+i0000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.