Finite Group Databasebeta

← Group #11867947

Character table — Group #11867947

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1122222444444444444488888888889912121212121212121818181818242424242424242424242424364848484872727272
order122448833666681212242424246121212242424242424222244888824488222266121224242424866668888
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111
χ511111-1-1111111-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1111-1-111-1-11111-1-1-1-1-111-1-111-1-1
χ611111-1-1111111-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-111-1-111
χ711111-1-1111111-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111111-1-111-1-1-1-1-1-11111-111-1-1-1-111
χ811111-1-1111111-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-111-1-1-1-11111-1-1-11111-1-1
χ911-1-111111-1-111-1111111-1-1-11-1-111-1-1-1-11-11-111-1-11-11-1-11-11-11-11-111-1-111-11-11-11-1
χ1011-1-111111-1-111-1111111-1-1-11-1-111-1-1-1-11-11-111-1-11-11-1-1-11-111-11-111-1-11-11-11-11-11
χ1111-1-111111-1-111-1111111-1-1-11-1-111-1-1-1-1-11-11-1-1111-11-1-11-11-1-11-11-1-11111-11-1-11-11
χ1211-1-111111-1-111-1111111-1-1-11-1-111-1-1-1-1-11-11-1-1111-11-1-1-11-11-11-11-1-1111-11-111-11-1
χ1311-1-11-1-111-1-111111-1-1-1-1-1-1-1111-1-111-1-11-11-1-1-1111-11111-1-111-11-1-1-111-11-1-111-1-11
χ1411-1-11-1-111-1-111111-1-1-1-1-1-1-1111-1-111-1-11-11-1-1-1111-1111-111-11-11-1-1-111-1-111-1-111-1
χ1511-1-11-1-111-1-111111-1-1-1-1-1-1-1111-1-111-1-1-11-1111-1-11-11111-1-11-11-1111-1-1-11-1-11-111-1
χ1611-1-11-1-111-1-111111-1-1-1-1-1-1-1111-1-111-1-1-11-1111-1-11-1111-111-1-11-1111-1-1-1-111-11-1-11
χ17222222222222222222222222222222-2-200000000-2-2-2-2-2000000000000-200000000
χ1822222-2-2222222-222-2-2-2-22222-2-2-2-2-2-2-2-200000000-2-2-222000000000000200000000
χ19222-2-2002222220-2-200002-2-2-20000002200002i−2i2i−2i2-2-200000000002i−2i2i−2i000000000
χ20222-2-2002222220-2-200002-2-2-2000000220000−2i2i−2i2i2-2-20000000000−2i2i−2i2i000000000
χ21222-2-2002222220-2-200002-2-2-2000000-2-22-2-220000-2220000002-2-220000000000000
χ22222-2-2002222220-2-200002-2-2-2000000-2-2-222-20000-222000000-222-20000000000000
χ2322-22-20022-2-2220-2-20000-222-20000002222-2-20000-2-2200000022-2-20000000000000
χ2422-22-20022-2-2220-2-20000-222-200000022-2-2220000-2-22000000-2-2220000000000000
χ2522-22-20022-2-2220-2-20000-222-2000000-2-200002i−2i−2i2i22-200000000002i−2i−2i2i000000000
χ2622-22-20022-2-2220-2-20000-222-2000000-2-20000−2i2i2i−2i22-20000000000−2i2i2i−2i000000000
χ2722-2-222222-2-222-2222222-2-2-22-2-222-2-22200000000-22-222000000000000-200000000
χ2822-2-22-2-222-2-222222-2-2-2-2-2-2-2222-2-2222200000000-22-2-2-2000000000000200000000
χ2944444441-2-2-2-2141111111-21-211-2-2-2-20022222222000000000-1-1-1-1-1-1-1-1000000000
χ3044444441-2-2-2-2141111111-21-211-2-2-2-200-2-2-2-2-2-2-2-200000000011111111000000000
χ314444444-21111-24-2-2-2-2-2-2-21-21-2-211110000000000000002222000000000-1-1-1-10000
χ324444444-21111-24-2-2-2-2-2-2-21-21-2-21111000000000000000-2-2-2-200000000011110000
χ3344444-4-41-2-2-2-21-411-1-1-1-11-21-2-1-12222002222-2-2-2-2000000000-1-1-1-11111000000000
χ3444444-4-41-2-2-2-21-411-1-1-1-11-21-2-1-1222200-2-2-2-222220000000001111-1-1-1-1000000000
χ3544444-4-4-21111-2-4-2-22222-21-2122-1-1-1-100000000000000022-2-2000000000-1-1110000
χ3644444-4-4-21111-2-4-2-22222-21-2122-1-1-1-1000000000000000-2-22200000000011-1-10000
χ37444-4-4001-2-2-2-210-1-13i3i−3i−3i12-123i−3i0000002-2-222i−2i2i−2i000000000-111-1−ii−ii000000000
χ38444-4-4001-2-2-2-210-1-13i3i−3i−3i12-123i−3i000000-222-2−2i2i−2i2i0000000001-1-11i−ii−i000000000
χ39444-4-4001-2-2-2-210-1-1−3i−3i3i3i12-12−3i3i0000002-2-22−2i2i−2i2i000000000-111-1i−ii−i000000000
χ40444-4-4001-2-2-2-210-1-1−3i−3i3i3i12-12−3i3i000000-222-22i−2i2i−2i0000000001-1-11−ii−ii000000000
χ4144-44-4001-222-210-1-13i3i−3i−3i-1-212−3i3i00000022-2-22i−2i−2i2i000000000-1-111−iii−i000000000
χ4244-44-4001-222-210-1-13i3i−3i−3i-1-212−3i3i000000-2-222−2i2i2i−2i00000000011-1-1i−i−ii000000000
χ4344-44-4001-222-210-1-1−3i−3i3i3i-1-2123i−3i00000022-2-2−2i2i2i−2i000000000-1-111i−i−ii000000000
χ4444-44-4001-222-210-1-1−3i−3i3i3i-1-2123i−3i000000-2-2222i−2i−2i2i00000000011-1-1−iii−i000000000
χ4544-4-44441-222-21-4111111-12-1-2-1-1-2-222002-22-222-2-2000000000-11-11-1-111000000000
χ4644-4-44441-222-21-4111111-12-1-2-1-1-2-22200-22-22-2-2220000000001-11-111-1-1000000000
χ4744-4-4444-21-1-11-2-4-2-2-2-2-2-22-1212211-1-10000000000000002-22-2000000000-11-110000
χ4844-4-4444-21-1-11-2-4-2-2-2-2-2-22-1212211-1-1000000000000000-22-220000000001-11-10000
χ4944-4-44-4-41-222-21411-1-1-1-1-12-1-21122-2-2002-22-2-2-222000000000-11-1111-1-1000000000
χ5044-4-44-4-41-222-21411-1-1-1-1-12-1-21122-2-200-22-2222-2-20000000001-11-1-1-111000000000
χ5144-4-44-4-4-21-1-11-24-2-222222-121-2-2-1-1110000000000000002-2-22000000000-111-10000
χ5244-4-44-4-4-21-1-11-24-2-222222-121-2-2-1-111000000000000000-222-20000000001-1-110000
χ534-400022−224400-4-400022−2222−2200000022−22004-40000000000022−22000000000000000000000
χ544-400022−224400-4-400022−2222−2200000022−2200-4400000000000−2222000000000000000000000
χ554-4000−22224400-4-4000−2222−2222000000−2222004-400000000000−2222000000000000000000000
χ564-4000−22224400-4-4000−2222−2222000000−222200-440000000000022−22000000000000000000000
χ57888-8-800-42222-40440000-4-24-2000000000000000000000000000000000000000000
χ5888-88-800-42-2-22-4044000042-4-2000000000000000000000000000000000000000000
χ598-800042−422-4004-206i−6i4ζ+2ζ3−4ζ−2ζ3−2ζ−4ζ32ζ+4ζ3000000−222200000000000000000000000000000000000000
χ608-800042−422-4004-20−6i6i−2ζ−4ζ32ζ+4ζ34ζ+2ζ3−4ζ−2ζ3000000−222200000000000000000000000000000000000000
χ618-800042−42-426-6-24000−2222−22220000002−232−32000000000000000000000000000000000000
χ628-800042−42-42-66-24000−2222−22220000002−2−3232000000000000000000000000000000000000
χ638-8000−42422-4004-206i−6i−4ζ−2ζ34ζ+2ζ32ζ+4ζ3−2ζ−4ζ300000022−2200000000000000000000000000000000000000
χ648-8000−42422-4004-20−6i6i2ζ+4ζ3−2ζ−4ζ3−4ζ−2ζ34ζ+2ζ300000022−2200000000000000000000000000000000000000
χ658-8000−4242-426-6-2400022−2222−22000000−22−3232000000000000000000000000000000000000
χ668-8000−4242-42-66-2400022−2222−22000000−2232−32000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.