Finite Group Databasebeta

← Group #10831110

Character table — Group #10831110

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222444444444444448888888888888888881212121216161616161616161616242424242424242424244848
order1244222344461212666888812121224242424224444881212121224242424242422444466121212121212222444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-111-111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-1-11-1-11111
χ51111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1
χ61111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-111-1-1
χ911111111111111111-1-1-1-1111-1-1-1-11-11-111-1-11111-1-1-1-1-1-111111-11-11-111-1-11-111-11-1-1-1-11-1
χ1011111111111111111-1-1-1-1111-1-1-1-11-11-111-1-11111-1-1-1-1-1-1-1-1-1-11-11-11-111-1-1-11-1-11-11111-11
χ1111111111111111111-1-1-1-1111-1-1-1-11-11-1-1-111-1-1-1-11111-1-11111-111-11-1-1-1111-1-11-1-1-1-111-11
χ1211111111111111111-1-1-1-1111-1-1-1-11-11-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-11-1-1-111-111-11111-1-11-1
χ1311111111111111111-1-1-1-1111-1-1-1-1-11-1111-1-11111-1-1-1-1-1-11111-11-11-11-1-111-111-111-1-1-1-1-11
χ1411111111111111111-1-1-1-1111-1-1-1-1-11-1111-1-11111-1-1-1-1-1-1-1-1-1-1-11-11-11-1-1111-1-11-1-111111-1
χ1511111111111111111-1-1-1-1111-1-1-1-1-11-11-1-111-1-1-1-11111-1-111111-1-11-1111-1-1-11-1-11-1-1-1111-1
χ1611111111111111111-1-1-1-1111-1-1-1-1-11-11-1-111-1-1-1-11111-1-1-1-1-1-11-1-11-1111-1-11-111-1111-1-1-11
χ172222222-1222-1-1-1-1-1-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1000000000000
χ182222222-1222-1-1-1-1-1-12222-1-1-1-1-1-1-12222-2-2-2-211111111-1-10000-2-2-1-1-1-11111000000000000
χ192222222-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-10000-2-211111111000000000000
χ202222222-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-1-10000221111-1-1-1-1000000000000
χ212222222-1222-1-1-1-1-1-1-2-2-2-2-1-1-111112-22-222-2-2-1-1-1-111111100002-2-11-11-1-111000000000000
χ222222222-1222-1-1-1-1-1-1-2-2-2-2-1-1-111112-22-2-2-2221111-1-1-1-1110000-22-11-1111-1-1000000000000
χ232222222-1222-1-1-1-1-1-1-2-2-2-2-1-1-11111-22-2222-2-2-1-1-1-11111110000-221-11-111-1-1000000000000
χ242222222-1222-1-1-1-1-1-1-2-2-2-2-1-1-11111-22-22-2-2221111-1-1-1-11100002-21-11-1-1-111000000000000
χ2522222-2-22-2-22222-22-222-2-2-2-2222220000000000000000-2-22-22-200000000000000002-20000
χ2622222-2-22-2-22222-22-222-2-2-2-2222220000000000000000-2-2-22-220000000000000000-220000
χ2722222-2-22-2-22222-22-2-2-222-2-22-2-2-2-20000000000000000222-22-20000000000000000-220000
χ2822222-2-22-2-22222-22-2-2-222-2-22-2-2-2-2000000000000000022-22-2200000000000000002-20000
χ2922-2-22222-2-2-22-2-22220000-2-2-2000000002-20022-2-20000002-2-22000000000000200-2000000
χ3022-2-22222-2-2-22-2-22220000-2-2-2000000002-20022-2-2000000-222-2000000000000-2002000000
χ3122-2-22222-2-2-22-2-22220000-2-2-200000000-2200-2-2220000002-2-22000000000000-2002000000
χ3222-2-22222-2-2-22-2-22220000-2-2-200000000-2200-2-222000000-222-2000000000000200-2000000
χ3322-2-22-2-2222-22-2-2-22-2000022-200000000002i−2i00002i2i−2i−2i0022-2-20000000000000000002i−2i00
χ3422-2-22-2-2222-22-2-2-22-2000022-200000000002i−2i00002i2i−2i−2i00-2-222000000000000000000−2i2i00
χ3522-2-22-2-2222-22-2-2-22-2000022-20000000000−2i2i0000−2i−2i2i2i0022-2-2000000000000000000−2i2i00
χ3622-2-22-2-2222-22-2-2-22-2000022-20000000000−2i2i0000−2i−2i2i2i00-2-2220000000000000000002i−2i00
χ3722-2-2-22-222-222-2-2-2-222-22-22-2222-2-200000000000000002-200000000000000220-2-20000000
χ3822-2-2-22-222-222-2-2-2-222-22-22-2222-2-200000000000000002-200000000000000-2-20220000000
χ3922-2-2-22-222-222-2-2-2-22-22-222-22-2-2220000000000000000-22000000000000002-20-220000000
χ4022-2-2-22-222-222-2-2-2-22-22-222-22-2-2220000000000000000-2200000000000000-2202-20000000
χ4122-2-2-2-222-2222-2-22-2-22-2-22-22222-2-22-2-22000000000000-220000002-2-220000000000000000
χ4222-2-2-2-222-2222-2-22-2-22-2-22-22222-2-2-222-2000000000000-22000000-222-20000000000000000
χ4322-2-2-2-222-2222-2-22-2-2-222-2-222-2-22222-2-20000000000002-200000022-2-20000000000000000
χ4422-2-2-2-222-2222-2-22-2-2-222-2-222-2-222-2-2220000000000002-2000000-2-2220000000000000000
χ4522-2-2-2-22-1-222-111-1112-2-221-1-1-1-1112-2-2200003−33−33−33−31-1000000-111-13−33−3000000000000
χ4622-2-2-2-22-1-222-111-1112-2-221-1-1-1-1112-2-220000−33−33−33−331-1000000-111-1−33−33000000000000
χ4722-2-2-2-22-1-222-111-1112-2-221-1-1-1-111-222-200003−33−33−33−31-10000001-1-11−33−33000000000000
χ4822-2-2-2-22-1-222-111-1112-2-221-1-1-1-111-222-20000−33−33−33−331-10000001-1-113−33−3000000000000
χ4922-2-2-2-22-1-222-111-111-222-21-1-111-1-122-2-200003−33−3−33−33-11000000-1-1113−3−33000000000000
χ5022-2-2-2-22-1-222-111-111-222-21-1-111-1-122-2-20000−33−333−33−3-11000000-1-111−333−3000000000000
χ5122-2-2-2-22-1-222-111-111-222-21-1-111-1-1-2-22200003−33−3−33−33-1100000011-1-1−333−3000000000000
χ5222-2-2-2-22-1-222-111-111-222-21-1-111-1-1-2-2220000−33−333−33−3-1100000011-1-13−3−33000000000000
χ5344444-4-4-2-4-44-2-2-22-2244-4-422-2-2-2-2-200000000000000002200000000000000000000000000
χ5444444-4-4-2-4-44-2-2-22-22-4-44422-222220000000000000000-2-200000000000000000000000000
χ554444-44-44-44-4444-4-440000-44-4000000000000000000000000000000000000000000000000
χ564444-44-4-2-44-4-2-2-222-200002-220000000000000000−2i32i32i3−2i30000000000000000000000000000
χ574444-44-4-2-44-4-2-2-222-200002-2200000000000000002i3−2i3−2i32i30000000000000000000000000000
χ584444-4-4444-4-44444-4-400004-4-4000000000000000000000000000000000000000000000000
χ594444-4-44-24-4-4-2-2-2-2220000-22200000000000023−23−232300000000000000000000000000000000
χ604444-4-44-24-4-4-2-2-2-2220000-222000000000000−232323−2300000000000000000000000000000000
χ6144-4-4444-2-4-4-4-222-2-2-20000222000000004-400-2-22200000000000000000000000000000000
χ6244-4-4444-2-4-4-4-222-2-2-2000022200000000-440022-2-200000000000000000000000000000000
χ6344-4-44-4-4-244-4-2222-220000-2-2200000000004i−4i0000−2i−2i2i2i0000000000000000000000000000
χ6444-4-44-4-4-244-4-2222-220000-2-220000000000−4i4i00002i2i−2i−2i0000000000000000000000000000
χ6544-4-4-44-4-24-44-22222-24-44-4-22-2-2-2220000000000000000-2200000000000000000000000000
χ6644-4-4-44-4-24-44-22222-2-44-44-22-222-2-200000000000000002-200000000000000000000000000
χ678-88i−8i0008000-88i−8i0000000000000000000000000000000000000000000000000000000000
χ688-88i−8i000-40004−4i4i000000000026−262i6−2i600000000000000000000000000000000000000000000
χ698-88i−8i000-40004−4i4i0000000000−2626−2i62i600000000000000000000000000000000000000000000
χ708-8−8i8i0008000-8−8i8i0000000000000000000000000000000000000000000000000000000000
χ718-8−8i8i000-400044i−4i000000000026−26−2i62i600000000000000000000000000000000000000000000
χ728-8−8i8i000-400044i−4i0000000000−26262i6−2i600000000000000000000000000000000000000000000

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