Finite Group Databasebeta

← Group #72342866

Character table — Group #72342866

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67
size111122446666121212121212121216162424242424242432323232324848484848484848484848646464646464969696969696969696969696128128128128
order122244882244222244442222888883466622444444488121224242424244448888888661212
χ11111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-11111111111-1-1-111-1-1-1-1-1-1111111-11-1-1-1-1-1-1-1-1-1-11111
χ311111111111111111111-1-111111111-1111-1-11-1-111-1-111111111-1-1-111111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-1111111-111111-1-1-1-1-111-1-11111111-11-1-1-1-1-11111-1-1-1-1
χ5111111-1-11111111111111111-1-1-1-1-11-1111111111111-1-111-1-1-1-1-1-1-111-1-1-111-1-111-1-1
χ6111111-1-111111111111111-1-1-1-1-1-1-11-1111-1-1-111-1-1-1-11111-1-1-1-11-11-1-1111-1-11111-1-1
χ7111111-1-1111111111111-1-111-1-1-1-1-111111-1-11-1-111-1-1-1-111-1-1-1-111111-1-1-1-1-111-1-111
χ8111111-1-1111111111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1111111-1-1-1-1-11-1-1-111111-1-1-1-111
χ922222222222222222222220022222-12-1-1-100022000000-1-1-1-1-1-1020000000000-1-1-1-1
χ1022222222222222222222-2-20022222-1-2-1-1-1000-2-2000000-1-1-1-1-1-10-200000000001111
χ11222222-2-22222222222222200-2-2-2-2-2-1-2-1-1-100022000000-1-111110-20000000000-1-111
χ12222222-2-2222222222222-2-200-2-2-2-2-2-12-1-1-1000-2-2000000-1-1111102000000000011-1-1
χ132222-2-20022-2-22-2-222-2-220022000002022200-2002-20000-2-200000002-200000000000
χ142222-2-20022-2-22-2-222-2-2200-2-2000002022200200-220000-2-20000000-2200000000000
χ152-2-222-200-22-22-22-22-2-2222-2000000020-22-20002-20000002-200000000000000002-200
χ162-2-222-200-22-22-22-22-2-2222-20000000-101-110002-2000000-1133−3−3000000000000-113−3
χ172-2-222-200-22-22-22-22-2-2222-20000000-101-110002-2000000-11−3−333000000000000-11−33
χ182-2-222-200-22-22-22-22-2-222-22000000020-22-2000-220000002-20000000000000000-2200
χ192-2-222-200-22-22-22-22-2-222-220000000-101-11000-22000000-1133−3−30000000000001-1−33
χ202-2-222-200-22-22-22-22-2-222-220000000-101-11000-22000000-11−3−3330000000000001-13−3
χ212-2-22-2200-222-2-2-222-22-2200000000020-22-22-2000002-200-220000000000002-2000000
χ222-2-22-2200-222-2-2-222-22-2200000000020-22-2-2200000-2200-22000000000000-22000000
χ23333333333333-1-1-1-1-1-1-1-133113-1-1-1-103000111-1-11111110000001-11-1-11-1-1-1-1-1-10000
χ24333333333333-1-1-1-1-1-1-1-133-1-13-1-1-1-103000-1-1-1-1-1-1-1-1-1-1-1000000-1-1-111-11111110000
χ25333333333333-1-1-1-1-1-1-1-1-3-3113-1-1-1-10-3000-1-111111-1-111000000-11-1-1-11-1-111110000
χ26333333333333-1-1-1-1-1-1-1-1-3-3-1-13-1-1-1-10-300011-111-1-111-1-100000011111-111-1-1-1-10000
χ27333333-3-33333-1-1-1-1-1-1-1-13311-311110-3000111-1-11111-1-1000000-11-1-1-1-111-1-1110000
χ28333333-3-33333-1-1-1-1-1-1-1-133-1-1-311110-3000-1-1-1-1-1-1-1-1-111000000111111-1-111-1-10000
χ29333333-3-33333-1-1-1-1-1-1-1-1-3-311-3111103000-1-111111-1-1-1-10000001-11-1-1-11111-1-10000
χ30333333-3-33333-1-1-1-1-1-1-1-1-3-3-1-1-311110300011-111-1-11111000000-1-1-1111-1-1-1-1110000
χ314444-4-40044-4-44-4-444-4-44000000000-20-2-2-2000000000002200000000000000000000
χ324-4-44-4400-444-4-4-444-44-44000000000-202-22000000000002-200000000000000000000
χ3366666666-2-2-2-22-2-22-222-20022-222-2-20000000200-2-2002200000000000-20000000000
χ3466666666-2-2-2-22-2-22-222-200-2-2-222-2-20000000-2002200-2-20000000000020000000000
χ3566666666-2-2-2-2-222-22-2-220000-2-2-222000002200000-2-20000000020-20000000000000
χ3666666666-2-2-2-2-222-22-2-220000-2-2-22200000-2-2000002200000000-2020000000000000
χ37666666-6-6-2-2-2-22-2-22-222-200222-2-2220000000200-2-200-2-20000000000020000000000
χ38666666-6-6-2-2-2-22-2-22-222-200-2-22-2-2220000000-20022002200000000000-20000000000
χ39666666-6-6-2-2-2-2-222-22-2-220000222-2-2000002200000-2-200000000-2020000000000000
χ40666666-6-6-2-2-2-2-222-22-2-220000222-2-200000-2-200000220000000020-20000000000000
χ416666-6-60066-6-6-222-2-222-20022000000000000-2002-20000000000000-2200000000000
χ426666-6-60066-6-6-222-2-222-200-2-2000000000000200-2200000000000002-200000000000
χ436666-6-600-2-2222222-2-2-2-2002204i−4i000000000-200-2200000000000000002i−2i00000000
χ446666-6-600-2-2222222-2-2-2-200220−4i4i000000000-200-220000000000000000−2i2i00000000
χ456666-6-600-2-2222222-2-2-2-200-2-204i−4i0000000002002-20000000000000000−2i2i00000000
χ466666-6-600-2-2222222-2-2-2-200-2-20−4i4i0000000002002-200000000000000002i−2i00000000
χ476-6-666-600-66-662-22-222-2-26-6000000000000000-220000000000000000000000000000
χ486-6-666-600-66-662-22-222-2-2-660000000000000002-20000000000000000000000000000
χ496-6-66-66002-2-222-22-2-2-22200000004-4000002-200000-220000000000000000002-20000
χ506-6-66-66002-2-222-22-2-2-22200000004-400000-22000002-2000000000000000000-220000
χ516-6-66-66002-2-222-22-2-2-2220000000-44000002-200000-22000000000000000000-220000
χ526-6-66-66002-2-222-22-2-2-2220000000-4400000-22000002-20000000000000000002-20000
χ536-6-66-6600-666-622-2-22-22-2000000000000002-2000002-20000000000000000-22000000
χ546-6-66-6600-666-622-2-22-22-200000000000000-2200000-2200000000000000002-2000000
χ558-88-80042−42000000000000004-40000020-2-2200000000022−22002−22−20000000000000000
χ568-88-80042−4200000000000000-440000020-2-22000000000−2222002−22−20000000000000000
χ578-88-800−4242000000000000004-40000020-2-22000000000−222200−22−220000000000000000
χ588-88-800−424200000000000000-440000020-2-2200000000022−2200−22−220000000000000000
χ5912121212-12-1200-4-444-4-4-4-4444400000000000000000000000000000000000000000000000
χ6012-12-121212-12004-44-444-4-4-44-4400000000000000000000000000000000000000000000000
χ6112-12-121212-12004-44-4-4-4444-44-400000000000000000000000000000000000000000000000
χ6212-12-1212-1212004-4-44-44-4444-4-400000000000000000000000000000000000000000000000
χ631616-16-160000000000000000000000000404-4-4000000000000000000000000000000000
χ641616-16-160000000000000000000000000-20-22200000000000006−6−660000000000000000
χ651616-16-160000000000000000000000000-20-2220000000000000−666−60000000000000000
χ6616-1616-160082−82000000000000000000000-2022-20000000000000−22−220000000000000000
χ6716-1616-1600−8282000000000000000000000-2022-200000000000002−22−20000000000000000

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