Finite Group Databasebeta

← Group #10877359

Character table — Group #10877359

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222444444888888888888881212121212121212161616161616161616161616161624242424242424244848
order1244222344461212666121212246688888888121222448888882424242424242424242424244488888888
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1
χ411111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-111
χ5111111111111111111111111-1-111-1-1-1-1111111-1-1-1-11-1-1-111-1-1-1-111-1-11111-1-1-1-11-1
χ6111111111111111111111111-1-111-1-1-1-111-1-1-1-111111-1-1-111-1-1-1-111-1-1-1-1-1-11111-11
χ7111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-111-1-1-11
χ8111111111111111111111111-1-1-1-111-1-111-1-1-1-11111-11-1-1-1-111-1-1-1-111-1-111-1-1111-1
χ911111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-111-1-111-1-111-11
χ1011111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-11111-1-111-1-11-1
χ1111111111111111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-1-1-1-1-111111-1
χ1211111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111-111-1-111-1-111-1-11111-1-1-1-1-11
χ1311111111111111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1
χ1411111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-1
χ172222222-1222-1-1-1-1-1-1-1-1-122-1-122222222-1-10000000022-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ182222222-1222-1-1-1-1-1-1-1-1-122-1-122-2-2-2-222-1-100000000-2-2-1-11111-1-111110000000000
χ192222222-1222-1-1-1-1-1-1-1-1-122-1-1-2-222-2-2-2-2-1-1000000002-211-1-11111-1-1110000000000
χ202222222-1222-1-1-1-1-1-1-1-1-122-1-1-2-2-2-222-2-2-1-100000000-221111-1-11111-1-10000000000
χ212222222-1222-1-1-1-1-1-1-1-1-1-2-2112222-2-2-2-21100000000-22-1-1-1-1111111-1-10000000000
χ222222222-1222-1-1-1-1-1-1-1-1-1-2-21122-2-222-2-211000000002-2-1-111-1-111-1-1110000000000
χ232222222-1222-1-1-1-1-1-1-1-1-1-2-211-2-22222221100000000-2-211-1-1-1-1-1-111110000000000
χ242222222-1222-1-1-1-1-1-1-1-1-1-2-211-2-2-2-2-2-222110000000022111111-1-1-1-1-1-10000000000
χ252222-2-222-2-222222-2-22-2-200000000002-2002-22-222-2-2000000002-200000000000000
χ262222-2-222-2-222222-2-22-2-200000000002-200-22-22-2-222000000002-200000000000000
χ272222-2-222-2-222222-2-22-2-20000000000-22002-22-2-2-22200000000-2200000000000000
χ282222-2-222-2-222222-2-22-2-20000000000-2200-22-2222-2-200000000-2200000000000000
χ2922-2-22222-2-2-22-2-2222-2-2-22-22200000000-2-22-2-220000000000000000002-200000000
χ3022-2-22222-2-2-22-2-2222-2-2-22-22200000000-2-2-222-2000000000000000000-2200000000
χ3122-2-22222-2-2-22-2-2222-2-2-2-22-2-200000000222-2-22000000000000000000-2200000000
χ3222-2-22222-2-2-22-2-2222-2-2-2-22-2-20000000022-222-20000000000000000002-200000000
χ3322-2-22-2-222-222-2-2-22-222-2000000002i−2i000000002-22-20000002i−2i000000002i−2i000000
χ3422-2-22-2-222-222-2-2-22-222-2000000002i−2i00000000-22-220000002i−2i00000000−2i2i000000
χ3522-2-22-2-222-222-2-2-22-222-200000000−2i2i000000002-22-2000000−2i2i00000000−2i2i000000
χ3622-2-22-2-222-222-2-2-22-222-200000000−2i2i00000000-22-22000000−2i2i000000002i−2i000000
χ3722-2-2-22-22-2222-2-2-2-222-220000002i−2i00000000002-2-2200002i−2i0000000000002i−2i0000
χ3822-2-2-22-22-2222-2-2-2-222-220000002i−2i0000000000-222-200002i−2i000000000000−2i2i0000
χ3922-2-2-22-22-2222-2-2-2-222-22000000−2i2i00000000002-2-220000−2i2i000000000000−2i2i0000
χ4022-2-2-22-22-2222-2-2-2-222-22000000−2i2i0000000000-222-20000−2i2i0000000000002i−2i0000
χ4122-2-2-2-22222-22-2-22-2-2-22200002i−2i0000000022-2-20000002i−2i00000000000000002i−2i00
χ4222-2-2-2-22222-22-2-22-2-2-22200002i−2i00000000-2-2220000002i−2i0000000000000000−2i2i00
χ4322-2-2-2-22222-22-2-22-2-2-2220000−2i2i0000000022-2-2000000−2i2i0000000000000000−2i2i00
χ4422-2-2-2-22222-22-2-22-2-2-2220000−2i2i00000000-2-222000000−2i2i00000000000000002i−2i00
χ4544444-4-44-44-4444-44-4-4-440000000000000000000000000000000000000000000000
χ4644444-4-4-2-44-4-2-2-22-2222-20000000000000000000000000000000000−2i32i30000000000
χ4744444-4-4-2-44-4-2-2-22-2222-200000000000000000000000000000000002i3−2i30000000000
χ484444-44-444-4-4444-4-44-44-40000000000000000000000000000000000000000000000
χ494444-44-4-24-4-4-2-2-222-22-2200000000000000000000000000000000−2i32i3000000000000
χ504444-44-4-24-4-4-2-2-222-22-22000000000000000000000000000000002i3−2i3000000000000
χ514444-4-44-2-4-44-2-2-2-222-22200000000004-4000000000000000000-2200000000000000
χ524444-4-44-2-4-44-2-2-2-222-2220000000000-440000000000000000002-200000000000000
χ5344-4-4444-2-4-4-4-222-2-2-22224-4-2-2000000002200000000000000000000000000000000
χ5444-4-4444-2-4-4-4-222-2-2-2222-442200000000-2-200000000000000000000000000000000
χ5544-4-44-4-4-24-44-2222-22-2-22000000004i−4i000000000000000000−2i2i0000000000000000
χ5644-4-44-4-4-24-44-2222-22-2-2200000000−4i4i0000000000000000002i−2i0000000000000000
χ5744-4-4-44-4-2-444-22222-2-22-20000004i−4i000000000000000000−2i2i000000000000000000
χ5844-4-4-44-4-2-444-22222-2-22-2000000−4i4i0000000000000000002i−2i000000000000000000
χ5944-4-4-4-44-244-4-222-2222-2-200004i−4i000000000000000000−2i2i00000000000000000000
χ6044-4-4-4-44-244-4-222-2222-2-20000−4i4i0000000000000000002i−2i00000000000000000000
χ618-88i−8i0008000-88i−8i0000000000000000000000000000000000000000000000000000
χ628-88i−8i000-40004−4i4i00000000−2i32i30000000023−2300000000000000000000000000000000
χ638-88i−8i000-40004−4i4i000000002i3−2i300000000−232300000000000000000000000000000000
χ648-8−8i8i0008000-8−8i8i0000000000000000000000000000000000000000000000000000
χ658-8−8i8i000-400044i−4i00000000−2i32i300000000−232300000000000000000000000000000000
χ668-8−8i8i000-400044i−4i000000002i3−2i30000000023−2300000000000000000000000000000000

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