Finite Group Databasebeta

← Group #11713225

Character table — Group #11713225

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122224666688888812121616161616162424242424242424242424242424323232324848
order12224444222442346662466121212124444444444888866121288
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1
χ31111111111111-11-111111111111-111-111-1-1-1-11111-1-1-1-1-1-1
χ41111111111111-11-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ51111-1-111-1111111-1111-1-1-1-111-1-1111-1-1-111-1-111-1-111-1-11-1
χ61111-1-111-1111111-1111-1-1-1-111-1-11-1-1-111-1-111-1-11111-1-1-11
χ71111-1-111-11111-111111-1-1-1-111-1-1-1111-1-1-1-11111-1-1-1-111-11
χ81111-1-111-11111-111111-1-1-1-111-1-1-1-1-111111-1-1-1-111-1-1111-1
χ922222222222222-12-1-1-122-1-1-1-1-1-120020000000000-1-1-1-100
χ102222222222222-2-1-2-1-1-122-1-1-1-1-1-1-200-20000000000111100
χ11222222-2-2-2-2-2220202222-2-2-2-2-22200000000000000000000
χ12222222-2-2-2-2-2220-10-1-1-12-21111-1-100000000000000−i3i3−i3i300
χ13222222-2-2-2-2-2220-10-1-1-12-21111-1-100000000000000i3−i3i3−i300
χ142222-2-222-222222-1-2-1-1-1-2-211-1-111200-20000000000-1-11100
χ152222-2-222-22222-2-12-1-1-1-2-211-1-111-2002000000000011-1-100
χ162222-2-2-2-22-2-222020222-2222-2-2-2-200000000000000000000
χ172222-2-2-2-22-2-2220-10-1-1-1-22-1-1111100000000000000−i3i3i3−i300
χ182222-2-2-2-22-2-2220-10-1-1-1-22-1-1111100000000000000i3−i3−i3i300
χ1922-2-2002-202-22-2020-22-200002-20000002i−2i0000002i−2i000000
χ2022-2-2002-202-22-2020-22-200002-2000000−2i2i000000−2i2i000000
χ2122-2-200-220-222-2020-22-20000-220002i−2i00000002i−2i00000000
χ2222-2-200-220-222-2020-22-20000-22000−2i2i0000000−2i2i00000000
χ23333333333-1-1-1-1303000-1-1000000-111-111-1-1-1-1-1-1-1-1000011
χ24333333333-1-1-1-1303000-1-1000000-1-1-1-1-1-1111111110000-1-1
χ25333333333-1-1-1-1-30-3000-1-10000001111111111-1-1-1-10000-1-1
χ26333333333-1-1-1-1-30-3000-1-10000001-1-11-1-1-1-1-1-11111000011
χ273333-3-333-3-1-1-1-130-300011000000-1111-1-1-1-111-1-11100001-1
χ283333-3-333-3-1-1-1-130-300011000000-1-1-111111-1-111-1-10000-11
χ293333-3-333-3-1-1-1-1-30300011000000111-1-1-111-1-1-1-1110000-11
χ303333-3-333-3-1-1-1-1-303000110000001-1-1-111-1-11111-1-100001-1
χ3144-4-4004-404-44-40-202-220000-220000000000000000000000
χ3244-4-400-440-444-40-202-2200002-20000000000000000000000
χ334-4-444i−4i00000000-20-2220000002i−2i0000002-22i−2i0000000000
χ344-4-444i−4i00000000-20-2220000002i−2i000000-22−2i2i0000000000
χ354-4-44−4i4i00000000-20-222000000−2i2i0000002-2−2i2i0000000000
χ364-4-44−4i4i00000000-20-222000000−2i2i000000-222i−2i0000000000
χ37666666-6-6-622-2-2000000-2200000000000000000000000000
χ386666-6-6-6-6622-2-20000002-200000000000000000000000000
χ3966-6-6006-60-22-220000000000000000002i−2i000000−2i2i000000
χ4066-6-6006-60-22-22000000000000000000−2i2i0000002i−2i000000
χ4166-6-600-6602-2-220000000000000002i−2i0000000−2i2i00000000
χ4266-6-600-6602-2-22000000000000000−2i2i00000002i−2i00000000
χ438-88-8000000000020-2-2200−2i32i3000000000000000000000000
χ448-88-8000000000020-2-22002i3−2i3000000000000000000000000
χ458-88-80000000000-4044-40000000000000000000000000000
χ468-8-888i−8i00000000202-2-2000000−2i2i00000000000000000000
χ478-8-88−8i8i00000000202-2-20000002i−2i00000000000000000000

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