Finite Group Databasebeta

← Group #11920551

Character table — Group #11920551

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1166688121166688121166688121166688122212121216162422121212161624221212121616242212121216162433181818242436331818182424363318181824243633181818242436
order1248836222488662444881212444488121243612242436666122424666121212242412121212121224241212128888824248888882424888888242488888824248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1
χ322200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-10
χ42-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-110
χ52-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-110
χ633-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-1
χ733-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-1001
χ84-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-10
χ91111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ10111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11
χ1122200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-10-2-2-200110-2-2-200110-2-2-200110-2-2-200110
χ122-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-110-220−i2i21-10-220−i2i21-10-220−i2i21-10-220−i2i21-10
χ132-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-110-220i2−i21-10-220i2−i21-10-220i2−i21-10-220i2−i21-10
χ1433-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-1-3-31-1-1001-3-31-1-1001-3-31-1-1001-3-31-1-1001
χ1533-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-1001-3-311100-1-3-311100-1-3-311100-1-3-311100-1
χ164-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-10-44000-110-44000-110-44000-110-44000-110
χ171111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ18111-1-111-1111-1-111-1-1-1-111-1-11-1-1-111-1-11111-1-111-1111-1-111-1-1-1-111-1-11-1-1-111-1-11iii−i−iii−iiii−i−iii−i−i−i−iii−i−ii−i−i−iii−i−ii
χ1922200-1-1022200-1-10-2-2-200110-2-2-20011022200-1-1022200-1-10-2-2-200110-2-2-2001102i2i2i00−i−i02i2i2i00−i−i0−2i−2i−2i00ii0−2i−2i−2i00ii0
χ202-20i2−i2-1102-20i2−i2-110-220−i2i21-10-220−i2i21-102-20i2−i2-1102-20i2−i2-110-220−i2i21-10-220−i2i21-102i−2i0−22−ii02i−2i0−22−ii0−2i2i02−2i−i0−2i2i02−2i−i0
χ212-20−i2i2-1102-20−i2i2-110-220i2−i21-10-220i2−i21-102-20−i2i2-1102-20−i2i2-110-220i2−i21-10-220i2−i21-102i−2i02−2−ii02i−2i02−2−ii0−2i2i0−22i−i0−2i2i0−22i−i0
χ2233-11100-133-11100-1-3-31-1-1001-3-31-1-100133-11100-133-11100-1-3-31-1-1001-3-31-1-10013i3i−iii00−i3i3i−iii00−i−3i−3ii−i−i00i−3i−3ii−i−i00i
χ2333-1-1-100133-1-1-1001-3-311100-1-3-311100-133-1-1-100133-1-1-1001-3-311100-1-3-311100-13i3i−i−i−i00i3i3i−i−i−i00i−3i−3iiii00−i−3i−3iiii00−i
χ244-40001-104-40001-10-44000-110-44000-1104-40001-104-40001-10-44000-110-44000-1104i−4i000i−i04i−4i000i−i0−4i4i000−ii0−4i4i000−ii0
χ251111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii
χ26111-1-111-1111-1-111-1-1-1-111-1-11-1-1-111-1-11111-1-111-1111-1-111-1-1-1-111-1-11-1-1-111-1-11−i−i−iii−i−ii−i−i−iii−i−iiiii−i−iii−iiii−i−iii−i
χ2722200-1-1022200-1-10-2-2-200110-2-2-20011022200-1-1022200-1-10-2-2-200110-2-2-200110−2i−2i−2i00ii0−2i−2i−2i00ii02i2i2i00−i−i02i2i2i00−i−i0
χ282-20i2−i2-1102-20i2−i2-110-220−i2i21-10-220−i2i21-102-20i2−i2-1102-20i2−i2-110-220−i2i21-10-220−i2i21-10−2i2i02−2i−i0−2i2i02−2i−i02i−2i0−22−ii02i−2i0−22−ii0
χ292-20−i2i2-1102-20−i2i2-110-220i2−i21-10-220i2−i21-102-20−i2i2-1102-20−i2i2-110-220i2−i21-10-220i2−i21-10−2i2i0−22i−i0−2i2i0−22i−i02i−2i02−2−ii02i−2i02−2−ii0
χ3033-11100-133-11100-1-3-31-1-1001-3-31-1-100133-11100-133-11100-1-3-31-1-1001-3-31-1-1001−3i−3ii−i−i00i−3i−3ii−i−i00i3i3i−iii00−i3i3i−iii00−i
χ3133-1-1-100133-1-1-1001-3-311100-1-3-311100-133-1-1-100133-1-1-1001-3-311100-1-3-311100-1−3i−3iiii00−i−3i−3iiii00−i3i3i−i−i−i00i3i3i−i−i−i00i
χ324-40001-104-40001-10-44000-110-44000-1104-40001-104-40001-10-44000-110-44000-110−4i4i000−ii0−4i4i000−ii04i−4i000i−i04i−4i000i−i0
χ3311111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iζζζζζζζζ−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3
χ34111-1-111-1-1-1-111-1-11iii−i−iii−i−i−i−iii−i−ii111-1-111-1-1-1-111-1-11iii−i−iii−i−i−i−iii−i−iiζζζ−ζ−ζζζ−ζ−ζ−ζ−ζζζ−ζ−ζζζ3ζ3ζ3−ζ3−ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3−ζ3−ζ3ζ3
χ3522200-1-10-2-2-2001102i2i2i00−i−i0−2i−2i−2i00ii022200-1-10-2-2-2001102i2i2i00−i−i0−2i−2i−2i00ii02ζ2ζ2ζ00−ζ−ζ0−2ζ−2ζ−2ζ00ζζ02ζ32ζ32ζ300−ζ3−ζ30−2ζ3−2ζ3−2ζ300ζ3ζ30
χ362-20i2−i2-110-220−i2i21-102i−2i0−22−ii0−2i2i02−2i−i02-20i2−i2-110-220−i2i21-102i−2i0−22−ii0−2i2i02−2i−i02ζ−2ζ0−1+i1−i−ζζ0−2ζ2ζ01−i−1+iζ−ζ02ζ3−2ζ30−1−i1+i−ζ3ζ30−2ζ32ζ301+i−1−iζ3−ζ30
χ372-20−i2i2-110-220i2−i21-102i−2i02−2−ii0−2i2i0−22i−i02-20−i2i2-110-220i2−i21-102i−2i02−2−ii0−2i2i0−22i−i02ζ−2ζ01−i−1+i−ζζ0−2ζ2ζ0−1+i1−iζ−ζ02ζ3−2ζ301+i−1−i−ζ3ζ30−2ζ32ζ30−1−i1+iζ3−ζ30
χ3833-11100-1-3-31-1-10013i3i−iii00−i−3i−3ii−i−i00i33-11100-1-3-31-1-10013i3i−iii00−i−3i−3ii−i−i00i3ζ3ζ−ζζζ00−ζ−3ζ−3ζζ−ζ−ζ00ζ3ζ33ζ3−ζ3ζ3ζ300−ζ3−3ζ3−3ζ3ζ3−ζ3−ζ300ζ3
χ3933-1-1-1001-3-311100-13i3i−i−i−i00i−3i−3iiii00−i33-1-1-1001-3-311100-13i3i−i−i−i00i−3i−3iiii00−i3ζ3ζ−ζ−ζ−ζ00ζ−3ζ−3ζζζζ00−ζ3ζ33ζ3−ζ3−ζ3−ζ300ζ3−3ζ3−3ζ3ζ3ζ3ζ300−ζ3
χ404-40001-10-44000-1104i−4i000i−i0−4i4i000−ii04-40001-10-44000-1104i−4i000i−i0−4i4i000−ii04ζ−4ζ000ζ−ζ0−4ζ4ζ000−ζζ04ζ3−4ζ3000ζ3−ζ30−4ζ34ζ3000−ζ3ζ30
χ4111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζζζζζζζζ−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3
χ42111-1-111-1-1-1-111-1-11iii−i−iii−i−i−i−iii−i−ii111-1-111-1-1-1-111-1-11iii−i−iii−i−i−i−iii−i−ii−ζ−ζ−ζζζ−ζ−ζζζζζ−ζ−ζζζ−ζ−ζ3−ζ3−ζ3ζ3ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3ζ3ζ3−ζ3
χ4322200-1-10-2-2-2001102i2i2i00−i−i0−2i−2i−2i00ii022200-1-10-2-2-2001102i2i2i00−i−i0−2i−2i−2i00ii0−2ζ−2ζ−2ζ00ζζ02ζ2ζ2ζ00−ζ−ζ0−2ζ3−2ζ3−2ζ300ζ3ζ302ζ32ζ32ζ300−ζ3−ζ30
χ442-20i2−i2-110-220−i2i21-102i−2i0−22−ii0−2i2i02−2i−i02-20i2−i2-110-220−i2i21-102i−2i0−22−ii0−2i2i02−2i−i0−2ζ2ζ01−i−1+iζ−ζ02ζ−2ζ0−1+i1−i−ζζ0−2ζ32ζ301+i−1−iζ3−ζ302ζ3−2ζ30−1−i1+i−ζ3ζ30
χ452-20−i2i2-110-220i2−i21-102i−2i02−2−ii0−2i2i0−22i−i02-20−i2i2-110-220i2−i21-102i−2i02−2−ii0−2i2i0−22i−i0−2ζ2ζ0−1+i1−iζ−ζ02ζ−2ζ01−i−1+i−ζζ0−2ζ32ζ30−1−i1+iζ3−ζ302ζ3−2ζ301+i−1−i−ζ3ζ30
χ4633-11100-1-3-31-1-10013i3i−iii00−i−3i−3ii−i−i00i33-11100-1-3-31-1-10013i3i−iii00−i−3i−3ii−i−i00i−3ζ−3ζζ−ζ−ζ00ζ3ζ3ζ−ζζζ00−ζ−3ζ3−3ζ3ζ3−ζ3−ζ300ζ33ζ33ζ3−ζ3ζ3ζ300−ζ3
χ4733-1-1-1001-3-311100-13i3i−i−i−i00i−3i−3iiii00−i33-1-1-1001-3-311100-13i3i−i−i−i00i−3i−3iiii00−i−3ζ−3ζζζζ00−ζ3ζ3ζ−ζ−ζ−ζ00ζ−3ζ3−3ζ3ζ3ζ3ζ300−ζ33ζ33ζ3−ζ3−ζ3−ζ300ζ3
χ484-40001-10-44000-1104i−4i000i−i0−4i4i000−ii04-40001-10-44000-1104i−4i000i−i0−4i4i000−ii0−4ζ4ζ000−ζζ04ζ−4ζ000ζ−ζ0−4ζ34ζ3000−ζ3ζ304ζ3−4ζ3000ζ3−ζ30
χ4911111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζζζζζζζζ−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζ
χ50111-1-111-1-1-1-111-1-11−i−i−iii−i−iiiii−i−iii−i111-1-111-1-1-1-111-1-11−i−i−iii−i−iiiii−i−iii−iζ3ζ3ζ3−ζ3−ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3−ζ3−ζ3ζ3ζζζ−ζ−ζζζ−ζ−ζ−ζ−ζζζ−ζ−ζζ
χ5122200-1-10-2-2-200110−2i−2i−2i00ii02i2i2i00−i−i022200-1-10-2-2-200110−2i−2i−2i00ii02i2i2i00−i−i02ζ32ζ32ζ300−ζ3−ζ30−2ζ3−2ζ3−2ζ300ζ3ζ302ζ2ζ2ζ00−ζ−ζ0−2ζ−2ζ−2ζ00ζζ0
χ522-20i2−i2-110-220−i2i21-10−2i2i02−2i−i02i−2i0−22−ii02-20i2−i2-110-220−i2i21-10−2i2i02−2i−i02i−2i0−22−ii02ζ3−2ζ30−1−i1+i−ζ3ζ30−2ζ32ζ301+i−1−iζ3−ζ302ζ−2ζ0−1+i1−i−ζζ0−2ζ2ζ01−i−1+iζ−ζ0
χ532-20−i2i2-110-220i2−i21-10−2i2i0−22i−i02i−2i02−2−ii02-20−i2i2-110-220i2−i21-10−2i2i0−22i−i02i−2i02−2−ii02ζ3−2ζ301+i−1−i−ζ3ζ30−2ζ32ζ30−1−i1+iζ3−ζ302ζ−2ζ01−i−1+i−ζζ0−2ζ2ζ0−1+i1−iζ−ζ0
χ5433-11100-1-3-31-1-1001−3i−3ii−i−i00i3i3i−iii00−i33-11100-1-3-31-1-1001−3i−3ii−i−i00i3i3i−iii00−i3ζ33ζ3−ζ3ζ3ζ300−ζ3−3ζ3−3ζ3ζ3−ζ3−ζ300ζ33ζ3ζ−ζζζ00−ζ−3ζ−3ζζ−ζ−ζ00ζ
χ5533-1-1-1001-3-311100-1−3i−3iiii00−i3i3i−i−i−i00i33-1-1-1001-3-311100-1−3i−3iiii00−i3i3i−i−i−i00i3ζ33ζ3−ζ3−ζ3−ζ300ζ3−3ζ3−3ζ3ζ3ζ3ζ300−ζ33ζ3ζ−ζ−ζ−ζ00ζ−3ζ−3ζζζζ00−ζ
χ564-40001-10-44000-110−4i4i000−ii04i−4i000i−i04-40001-10-44000-110−4i4i000−ii04i−4i000i−i04ζ3−4ζ3000ζ3−ζ30−4ζ34ζ3000−ζ3ζ304ζ−4ζ000ζ−ζ0−4ζ4ζ000−ζζ0
χ5711111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζ−ζ−ζ−ζ−ζζζζζζζζζ
χ58111-1-111-1-1-1-111-1-11−i−i−iii−i−iiiii−i−iii−i111-1-111-1-1-1-111-1-11−i−i−iii−i−iiiii−i−iii−i−ζ3−ζ3−ζ3ζ3ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3ζ3ζ3−ζ3−ζ−ζ−ζζζ−ζ−ζζζζζ−ζ−ζζζ−ζ
χ5922200-1-10-2-2-200110−2i−2i−2i00ii02i2i2i00−i−i022200-1-10-2-2-200110−2i−2i−2i00ii02i2i2i00−i−i0−2ζ3−2ζ3−2ζ300ζ3ζ302ζ32ζ32ζ300−ζ3−ζ30−2ζ−2ζ−2ζ00ζζ02ζ2ζ2ζ00−ζ−ζ0
χ602-20i2−i2-110-220−i2i21-10−2i2i02−2i−i02i−2i0−22−ii02-20i2−i2-110-220−i2i21-10−2i2i02−2i−i02i−2i0−22−ii0−2ζ32ζ301+i−1−iζ3−ζ302ζ3−2ζ30−1−i1+i−ζ3ζ30−2ζ2ζ01−i−1+iζ−ζ02ζ−2ζ0−1+i1−i−ζζ0
χ612-20−i2i2-110-220i2−i21-10−2i2i0−22i−i02i−2i02−2−ii02-20−i2i2-110-220i2−i21-10−2i2i0−22i−i02i−2i02−2−ii0−2ζ32ζ30−1−i1+iζ3−ζ302ζ3−2ζ301+i−1−i−ζ3ζ30−2ζ2ζ0−1+i1−iζ−ζ02ζ−2ζ01−i−1+i−ζζ0
χ6233-11100-1-3-31-1-1001−3i−3ii−i−i00i3i3i−iii00−i33-11100-1-3-31-1-1001−3i−3ii−i−i00i3i3i−iii00−i−3ζ3−3ζ3ζ3−ζ3−ζ300ζ33ζ33ζ3−ζ3ζ3ζ300−ζ3−3ζ−3ζζ−ζ−ζ00ζ3ζ3ζ−ζζζ00−ζ
χ6333-1-1-1001-3-311100-1−3i−3iiii00−i3i3i−i−i−i00i33-1-1-1001-3-311100-1−3i−3iiii00−i3i3i−i−i−i00i−3ζ3−3ζ3ζ3ζ3ζ300−ζ33ζ33ζ3−ζ3−ζ3−ζ300ζ3−3ζ−3ζζζζ00−ζ3ζ3ζ−ζ−ζ−ζ00ζ
χ644-40001-10-44000-110−4i4i000−ii04i−4i000i−i04-40001-10-44000-110−4i4i000−ii04i−4i000i−i0−4ζ34ζ3000−ζ3ζ304ζ3−4ζ3000ζ3−ζ30−4ζ4ζ000−ζζ04ζ−4ζ000ζ−ζ0
χ6522222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ66222-2-222-2222-2-222-2222-2-222-2222-2-222-2-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11-1-1-111-1-1100000000000000000000000000000000
χ6744400-2-2044400-2-2044400-2-2044400-2-20-2-2-200110-2-2-200110-2-2-200110-2-2-20011000000000000000000000000000000000
χ684-402i2−2i2-2204-402i2−2i2-2204-402i2−2i2-2204-402i2−2i2-220-220−i2i21-10-220−i2i21-10-220−i2i21-10-220−i2i21-1000000000000000000000000000000000
χ694-40−2i22i2-2204-40−2i22i2-2204-40−2i22i2-2204-40−2i22i2-220-220i2−i21-10-220i2−i21-10-220i2−i21-10-220i2−i21-1000000000000000000000000000000000
χ7066-22200-266-22200-266-22200-266-22200-2-3-31-1-1001-3-31-1-1001-3-31-1-1001-3-31-1-100100000000000000000000000000000000
χ7166-2-2-200266-2-2-200266-2-2-200266-2-2-2002-3-311100-1-3-311100-1-3-311100-1-3-311100-100000000000000000000000000000000
χ728-80002-208-80002-208-80002-208-80002-20-44000-110-44000-110-44000-110-44000-11000000000000000000000000000000000
χ732222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000000000
χ74222-2-222-2222-2-222-2-2-2-222-2-22-2-2-222-2-22-1-1-111-1-11-1-1-111-1-11111-1-111-1111-1-111-100000000000000000000000000000000
χ7544400-2-2044400-2-20-4-4-400220-4-4-400220-2-2-200110-2-2-20011022200-1-1022200-1-1000000000000000000000000000000000
χ764-402i2−2i2-2204-402i2−2i2-220-440−2i22i22-20-440−2i22i22-20-220−i2i21-10-220−i2i21-102-20i2−i2-1102-20i2−i2-11000000000000000000000000000000000
χ774-40−2i22i2-2204-40−2i22i2-220-4402i2−2i22-20-4402i2−2i22-20-220i2−i21-10-220i2−i21-102-20−i2i2-1102-20−i2i2-11000000000000000000000000000000000
χ7866-22200-266-22200-2-6-62-2-2002-6-62-2-2002-3-31-1-1001-3-31-1-100133-11100-133-11100-100000000000000000000000000000000
χ7966-2-2-200266-2-2-2002-6-622200-2-6-622200-2-3-311100-1-3-311100-133-1-1-100133-1-1-100100000000000000000000000000000000
χ808-80002-208-80002-20-88000-220-88000-220-44000-110-44000-1104-40001-104-40001-1000000000000000000000000000000000
χ8122222222-2-2-2-2-2-2-2-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii00000000000000000000000000000000
χ82222-2-222-2-2-2-222-2-222i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i-1-1-111-1-11111-1-111-1−i−i−iii−i−iiiii−i−iii−i00000000000000000000000000000000
χ8344400-2-20-4-4-4002204i4i4i00−2i−2i0−4i−4i−4i002i2i0-2-2-20011022200-1-10−2i−2i−2i00ii02i2i2i00−i−i000000000000000000000000000000000
χ844-402i2−2i2-220-440−2i22i22-204i−4i0−2222−2i2i0−4i4i022−222i−2i0-220−i2i21-102-20i2−i2-110−2i2i02−2i−i02i−2i0−22−ii000000000000000000000000000000000
χ854-40−2i22i2-220-4402i2−2i22-204i−4i022−22−2i2i0−4i4i0−22222i−2i0-220i2−i21-102-20−i2i2-110−2i2i0−22i−i02i−2i02−2−ii000000000000000000000000000000000
χ8666-22200-2-6-62-2-20026i6i−2i2i2i00−2i−6i−6i2i−2i−2i002i-3-31-1-100133-11100-1−3i−3ii−i−i00i3i3i−iii00−i00000000000000000000000000000000
χ8766-2-2-2002-6-622200-26i6i−2i−2i−2i002i−6i−6i2i2i2i00−2i-3-311100-133-1-1-1001−3i−3iiii00−i3i3i−i−i−i00i00000000000000000000000000000000
χ888-80002-20-88000-2208i−8i0002i−2i0−8i8i000−2i2i0-44000-1104-40001-10−4i4i000−ii04i−4i000i−i000000000000000000000000000000000
χ8922222222-2-2-2-2-2-2-2-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i00000000000000000000000000000000
χ90222-2-222-2-2-2-222-2-22−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i-1-1-111-1-11111-1-111-1iii−i−iii−i−i−i−iii−i−ii00000000000000000000000000000000
χ9144400-2-20-4-4-400220−4i−4i−4i002i2i04i4i4i00−2i−2i0-2-2-20011022200-1-102i2i2i00−i−i0−2i−2i−2i00ii000000000000000000000000000000000
χ924-402i2−2i2-220-440−2i22i22-20−4i4i022−222i−2i04i−4i0−2222−2i2i0-220−i2i21-102-20i2−i2-1102i−2i0−22−ii0−2i2i02−2i−i000000000000000000000000000000000
χ934-40−2i22i2-220-4402i2−2i22-20−4i4i0−22222i−2i04i−4i022−22−2i2i0-220i2−i21-102-20−i2i2-1102i−2i02−2−ii0−2i2i0−22i−i000000000000000000000000000000000
χ9466-22200-2-6-62-2-2002−6i−6i2i−2i−2i002i6i6i−2i2i2i00−2i-3-31-1-100133-11100-13i3i−iii00−i−3i−3ii−i−i00i00000000000000000000000000000000
χ9566-2-2-2002-6-622200-2−6i−6i2i2i2i00−2i6i6i−2i−2i−2i002i-3-311100-133-1-1-10013i3i−i−i−i00i−3i−3iiii00−i00000000000000000000000000000000
χ968-80002-20-88000-220−8i8i000−2i2i08i−8i0002i−2i0-44000-1104-40001-104i−4i000i−i0−4i4i000−ii000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.