Finite Group Databasebeta

← Group #11715683

Character table — Group #11715683

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size116661212122424243232116661212122424243232116661212122424243232116661212122424243232
order12222224444364444444444412122222222444466444444444441212
χ11111111111111111111111111111111111111111111111111111
χ211111-1-11-1-1-11111111-1-11-1-1-11111111-1-11-1-1-11111111-1-11-1-1-111
χ322222002000-1-122222002000-1-122222002000-1-122222002000-1-1
χ4333-1-111-11-1-100333-1-111-11-1-100333-1-111-11-1-100333-1-111-11-1-100
χ5333-1-1-1-1-1-11100333-1-1-1-1-1-11100333-1-1-1-1-1-11100333-1-1-1-1-1-11100
χ633-13-111-1-11-10033-13-111-1-11-10033-13-111-1-11-10033-13-111-1-11-100
χ733-13-1-1-1-11-110033-13-1-1-1-11-110033-13-1-1-1-11-110033-13-1-1-1-11-1100
χ833-1-1311-1-1-110033-1-1311-1-1-110033-1-1311-1-1-110033-1-1311-1-1-1100
χ933-1-13-1-1-111-10033-1-13-1-1-111-10033-1-13-1-1-111-10033-1-13-1-1-111-100
χ104-40002-200001-14-40002-200001-14-40002-200001-14-40002-200001-1
χ114-4000-2200001-14-4000-2200001-14-4000-2200001-14-4000-2200001-1
χ1266-2-2-20020000066-2-2-20020000066-2-2-20020000066-2-2-200200000
χ138-8000000000-118-8000000000-118-8000000000-118-8000000000-11
χ141111111111111iiiiiiiiiiiii-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
χ1511111-1-11-1-1-111iiiii−i−ii−i−i−iii-1-1-1-1-111-1111-1-1−i−i−i−i−iii−iiii−i−i
χ1622222002000-1-12i2i2i2i2i002i000−i−i-2-2-2-2-200-200011−2i−2i−2i−2i−2i00−2i000ii
χ17333-1-111-11-1-1003i3i3i−i−iii−ii−i−i00-3-3-311-1-11-11100−3i−3i−3iii−i−ii−iii00
χ18333-1-1-1-1-1-111003i3i3i−i−i−i−i−i−iii00-3-3-3111111-1-100−3i−3i−3iiiiiii−i−i00
χ1933-13-111-1-11-1003i3i−i3i−iii−i−ii−i00-3-31-31-1-111-1100−3i−3ii−3ii−i−iii−ii00
χ2033-13-1-1-1-11-11003i3i−i3i−i−i−i−ii−ii00-3-31-31111-11-100−3i−3ii−3iiiii−ii−i00
χ2133-1-1311-1-1-11003i3i−i−i3iii−i−i−ii00-3-311-3-1-1111-100−3i−3iii−3i−i−iiii−i00
χ2233-1-13-1-1-111-1003i3i−i−i3i−i−i−iii−i00-3-311-3111-1-1100−3i−3iii−3iiii−i−ii00
χ234-40002-200001-14i−4i0002i−2i0000i−i-44000-220000-11−4i4i000−2i2i0000−ii
χ244-4000-2200001-14i−4i000−2i2i0000i−i-440002-20000-11−4i4i0002i−2i0000−ii
χ2566-2-2-2002000006i6i−2i−2i−2i002i00000-6-622200-200000−6i−6i2i2i2i00−2i00000
χ268-8000000000-118i−8i000000000−ii-880000000001-1−8i8i000000000i−i
χ271111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2811111-1-11-1-1-111-1-1-1-1-111-1111-1-111111-1-11-1-1-111-1-1-1-1-111-1111-1-1
χ2922222002000-1-1-2-2-2-2-200-20001122222002000-1-1-2-2-2-2-200-200011
χ30333-1-111-11-1-100-3-3-311-1-11-11100333-1-111-11-1-100-3-3-311-1-11-11100
χ31333-1-1-1-1-1-11100-3-3-3111111-1-100333-1-1-1-1-1-11100-3-3-3111111-1-100
χ3233-13-111-1-11-100-3-31-31-1-111-110033-13-111-1-11-100-3-31-31-1-111-1100
χ3333-13-1-1-1-11-1100-3-31-31111-11-10033-13-1-1-1-11-1100-3-31-31111-11-100
χ3433-1-1311-1-1-1100-3-311-3-1-1111-10033-1-1311-1-1-1100-3-311-3-1-1111-100
χ3533-1-13-1-1-111-100-3-311-3111-1-110033-1-13-1-1-111-100-3-311-3111-1-1100
χ364-40002-200001-1-44000-220000-114-40002-200001-1-44000-220000-11
χ374-4000-2200001-1-440002-20000-114-4000-2200001-1-440002-20000-11
χ3866-2-2-200200000-6-622200-20000066-2-2-200200000-6-622200-200000
χ398-8000000000-11-880000000001-18-8000000000-11-880000000001-1
χ401111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiii
χ4111111-1-11-1-1-111−i−i−i−i−iii−iiii−i−i-1-1-1-1-111-1111-1-1iiiii−i−ii−i−i−iii
χ4222222002000-1-1−2i−2i−2i−2i−2i00−2i000ii-2-2-2-2-200-2000112i2i2i2i2i002i000−i−i
χ43333-1-111-11-1-100−3i−3i−3iii−i−ii−iii00-3-3-311-1-11-111003i3i3i−i−iii−ii−i−i00
χ44333-1-1-1-1-1-11100−3i−3i−3iiiiiii−i−i00-3-3-3111111-1-1003i3i3i−i−i−i−i−i−iii00
χ4533-13-111-1-11-100−3i−3ii−3ii−i−iii−ii00-3-31-31-1-111-11003i3i−i3i−iii−i−ii−i00
χ4633-13-1-1-1-11-1100−3i−3ii−3iiiii−ii−i00-3-31-31111-11-1003i3i−i3i−i−i−i−ii−ii00
χ4733-1-1311-1-1-1100−3i−3iii−3i−i−iiii−i00-3-311-3-1-1111-1003i3i−i−i3iii−i−i−ii00
χ4833-1-13-1-1-111-100−3i−3iii−3iiii−i−ii00-3-311-3111-1-11003i3i−i−i3i−i−i−iii−i00
χ494-40002-200001-1−4i4i000−2i2i0000−ii-44000-220000-114i−4i0002i−2i0000i−i
χ504-4000-2200001-1−4i4i0002i−2i0000−ii-440002-20000-114i−4i000−2i2i0000i−i
χ5166-2-2-200200000−6i−6i2i2i2i00−2i00000-6-622200-2000006i6i−2i−2i−2i002i00000
χ528-8000000000-11−8i8i000000000i−i-880000000001-18i−8i000000000−ii

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