Finite Group Databasebeta

← Group #11713692

Character table — Group #11713692

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222226666888888121212121212121212121616161616162424242424243232323248484848
order1222444444224423466644444444441212121212122488886612124488
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ311111111111111-11-11111111111111111111-1-11111-1-1-1-1-1-1-1-1
χ411111111111111-11-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ51111-1-1-1-111111111-1111-1-11111-1-1-1-1-1-1-1-111-1111-1-111-1-11-11-1
χ61111-1-1-1-111111111-1111-1-1-1-1-1-11111-1-1-1-111-11-1-11111-1-1-11-11
χ71111-1-1-1-1111111-111111-1-11111-1-1-1-1-1-1-1-1111-111-1-1-1-111-11-11
χ81111-1-1-1-1111111-111111-1-1-1-1-1-11111-1-1-1-1111-1-1-111-1-1111-11-1
χ9222222222222222-12-1-1-12200000000-1-1-1-1-1-1220000-1-1-1-10000
χ1022222222222222-2-1-2-1-1-12200000000-1-1-1-1-1-1-2-2000011110000
χ11222222-2-2-2-2-2-2220202222-20000000022-2-2-2-200000000000000
χ12222222-2-2-2-2-2-2220-10-1-1-12-200000000-1-11111000000−i3i3−i3i30000
χ13222222-2-2-2-2-2-2220-10-1-1-12-200000000-1-11111000000i3−i3i3−i30000
χ142222-2-222-2-2-2-222020222-2200000000-2-222-2-200000000000000
χ152222-2-222-2-2-2-2220-10-1-1-1-220000000011-1-111000000−i3i3i3−i30000
χ162222-2-222-2-2-2-2220-10-1-1-1-220000000011-1-111000000i3−i3−i3i30000
χ172222-2-2-2-22222222-1-2-1-1-1-2-2000000001111-1-1-220000-1-1110000
χ182222-2-2-2-2222222-2-12-1-1-1-2-2000000001111-1-12-2000011-1-10000
χ1922-2-200002-22-22-2020-2-220000002i2i−2i−2i00002-200002i−2i00000000
χ2022-2-200002-22-22-2020-2-22000000−2i−2i2i2i00002-20000−2i2i00000000
χ2122-2-20000-22-222-2020-2-22002i2i−2i−2i00000000-22002i−2i0000000000
χ2222-2-20000-22-222-2020-2-2200−2i−2i2i2i00000000-2200−2i2i0000000000
χ233333333333-1-1-1-1303000-1-111111111000000-1-1-1-1-1-10000-1-111
χ243333333333-1-1-1-1303000-1-1-1-1-1-1-1-1-1-1000000-1-11111000011-1-1
χ253333333333-1-1-1-1-30-3000-1-11111111100000011-1-1-1-1000011-1-1
χ263333333333-1-1-1-1-30-3000-1-1-1-1-1-1-1-1-1-10000001111110000-1-111
χ273333-3-3-3-333-1-1-1-130-3000111111-1-1-1-10000001-1-1-1110000-111-1
χ283333-3-3-3-333-1-1-1-130-300011-1-1-1-111110000001-111-1-100001-1-11
χ293333-3-3-3-333-1-1-1-1-303000111111-1-1-1-1000000-11-1-11100001-1-11
χ303333-3-3-3-333-1-1-1-1-30300011-1-1-1-11111000000-1111-1-10000-111-1
χ3144-4-400004-44-44-40-2022-200000000000000-2200000000000000
χ3244-4-40000-44-444-40-2022-2000000000000002-200000000000000
χ334-44-4004i−4i0000000-202-22002-22-22i−2i2i−2i002i−2i0000000000000000
χ344-44-4004i−4i0000000-202-2200-22-22−2i2i−2i2i002i−2i0000000000000000
χ354-44-400−4i4i0000000-202-22002-22-2−2i2i−2i2i00−2i2i0000000000000000
χ364-44-400−4i4i0000000-202-2200-22-222i−2i2i−2i00−2i2i0000000000000000
χ374-4-444i−4i000000000-20-222002i−2i−2i2i2-2-222i−2i000000000000000000
χ384-4-444i−4i000000000-20-22200−2i2i2i−2i-222-22i−2i000000000000000000
χ394-4-44−4i4i000000000-20-222002i−2i−2i2i-222-2−2i2i000000000000000000
χ404-4-44−4i4i000000000-20-22200−2i2i2i−2i2-2-22−2i2i000000000000000000
χ41666666-6-6-6-622-2-2000000-220000000000000000000000000000
χ426666-6-666-6-622-2-20000002-20000000000000000000000000000
χ4366-6-600006-6-22-220000000000002i2i−2i−2i0000000000−2i2i00000000
χ4466-6-600006-6-22-22000000000000−2i−2i2i2i00000000002i−2i00000000
χ4566-6-60000-662-2-22000000002i2i−2i−2i000000000000−2i2i0000000000
χ4666-6-60000-662-2-2200000000−2i−2i2i2i0000000000002i−2i0000000000
χ478-88-8008i−8i000000020-22-2000000000000−2i2i0000000000000000
χ488-88-800−8i8i000000020-22-20000000000002i−2i0000000000000000
χ498-8-888i−8i000000000202-2-20000000000−2i2i000000000000000000
χ508-8-88−8i8i000000000202-2-200000000002i−2i000000000000000000

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