Finite Group Databasebeta

← Group #11873345

Character table — Group #11873345

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order12224423346666666612121212121244444444121212126124444444412121212121212121212448888121288
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ5111111-111-1111111-1-11111-1-111-1-111-1-11111-1-111111-11-111-1-111-1-111-1-11111-1-1-1-1
χ6111111-111-1111111-1-11111-1-111-1-111-1-11111-1-11111-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111-111-1111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-111111-11-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111-111-1111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-11-11-1-111-1-111-1-1-1-1111111-1-1
χ91111-1-1111-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1111-1-11111111-1-1-1-1-1111-1-1-111-1
χ101111-1-1111-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-111-11111-1-1-1-111-11-1-1111-1-11
χ111111-1-1111-111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1111-1-11-1-1-1-11111-1-1-11-1-111-11-11
χ121111-1-1111-111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-111-1-1-1-1-1-1-11111-1111-1-11-11-1
χ131111-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-11-1-11111-1-111-1-11111-1-11-111-1-11-1-11
χ141111-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-11-1-111-1-11111-1-1-1-111111-1-1-111-111-1
χ151111-1-1-1111111111-1-1-1-1-1-111-1-11111-1-11111-11-1-11111-1-1-1-11111-1-1-1-11-1-1-1111-11-1
χ161111-1-1-1111111111-1-1-1-1-1-111-1-11111-1-11111-11-1-111-1-111-1-111-1-1-1-1111-111-1-1-11-11
χ1722222222222222222222222200000000000022-2-2-2-200000000000000-2-200000000
χ18222222-222-2222222-2-22222-2-2000000000000-2-2-2-2-2-2000000000000002200000000
χ192222-2-2222-222222222-2-2-2-2-2-20000000000002-222-2-2000000000000002-200000000
χ202222-2-2-2222222222-2-2-2-2-2-222000000000000-2222-2-200000000000000-2200000000
χ212-2-222i−2i0220-2-2-2-222002i2i−2i−2i00002i−2i002-20000002i−2i2-20000002i−2i002-2000000000000
χ222-2-222i−2i0220-2-2-2-222002i2i−2i−2i0000−2i2i00-220000002i−2i2-2000000−2i2i00-22000000000000
χ232-2-222i−2i0220-2-2-2-222002i2i−2i−2i002i−2i002-20022-2-200−2i2i-2200002i−2i000000000000000000
χ242-2-222i−2i0220-2-2-2-222002i2i−2i−2i00−2i2i00-2200-2-22200−2i2i-220000−2i2i000000000000000000
χ252-2-22−2i2i0220-2-2-2-22200−2i−2i2i2i00002i−2i00-22000000−2i2i2-20000002i−2i00-22000000000000
χ262-2-22−2i2i0220-2-2-2-22200−2i−2i2i2i0000−2i2i002-2000000−2i2i2-2000000−2i2i002-2000000000000
χ272-2-22−2i2i0220-2-2-2-22200−2i−2i2i2i002i−2i00-2200-2-222002i−2i-2200002i−2i000000000000000000
χ282-2-22−2i2i0220-2-2-2-22200−2i−2i2i2i00−2i2i002-20022-2-2002i−2i-220000−2i2i000000000000000000
χ2944444441-2411-2-21-2111-21-21122222222-1-1-1-1-2-200000000-1-1-1-100-1-1000000000000
χ3044444441-2411-2-21-2111-21-211-2-2-2-2-2-2-2-21111-2-20000000011110011000000000000
χ314444444-214-2-211-21-2-2-21-21-2-200000000000011000022220000-1-100-1-1000000-1-100
χ324444444-214-2-211-21-2-2-21-21-2-2000000000000110000-2-2-2-200001100110000001100
χ33444444-41-2-411-2-21-2-1-11-21-2-1-122-2-222-2-2-1-1-1-12200000000-1-1110011000000000000
χ34444444-41-2-411-2-21-2-1-11-21-2-1-1-2-222-2-2221111220000000011-1-100-1-1000000000000
χ35444444-4-21-4-2-211-2122-21-2122000000000000-1-100002-22-20000-1-100-1-10000001100
χ36444444-4-21-4-2-211-2122-21-2122000000000000-1-10000-22-220000110011000000-1-100
χ374444-4-441-2-411-2-21-211-12-12-1-12222-2-2-2-21111-2200000000-1-1-1-10011000000000000
χ384444-4-441-2-411-2-21-211-12-12-1-1-2-2-2-22222-1-1-1-1-2200000000111100-1-1000000000000
χ394444-4-44-21-4-2-211-21-2-22-12-1220000000000001-100002-2-220000-1-100110000001-100
χ404444-4-44-21-4-2-211-21-2-22-12-1220000000000001-10000-222-200001100-1-1000000-1100
χ414444-4-4-41-2411-2-21-2-1-1-12-121122-2-2-2-22211112-200000000-1-11100-1-1000000000000
χ424444-4-4-41-2411-2-21-2-1-1-12-1211-2-22222-2-2-1-1-1-12-20000000011-1-10011000000000000
χ434444-4-4-4-214-2-211-21222-12-1-2-2000000000000-11000022-2-20000-1-10011000000-1100
χ444444-4-4-4-214-2-211-21222-12-1-2-2000000000000-110000-2-22200001100-1-10000001-100
χ4544-4-40004404-44-4-4-40000000000000000000000000000000000000000000022−220000
χ4644-4-40004404-44-4-4-400000000000000000000000000000000000000000000−22220000
χ474-44-4000440-44-44-4-400000000000000000000000000000000000000000022−22000000
χ484-44-4000440-44-44-4-4000000000000000000000000000000000000000000−2222000000
χ494-4-444i−4i01-20-1-1221-23-3i−2i−i2i3i−3i2i−2i2i−2i2-22-2-1-1110000000000−ii−ii00-11000000000000
χ504-4-444i−4i01-20-1-1221-23-3i−2i−i2i3i−3i−2i2i−2i2i-22-2211-1-10000000000i−ii−i001-1000000000000
χ514-4-444i−4i01-20-1-1221-2-33i−2i−i2i−3i3i2i−2i−2i2i2-2-22-1-1110000000000−iii−i001-1000000000000
χ524-4-444i−4i01-20-1-1221-2-33i−2i−i2i−3i3i−2i2i2i−2i-222-211-1-10000000000i−i−ii00-11000000000000
χ534-4-44−4i4i01-20-1-1221-23-3−i2ii−2i−3i3i2i−2i2i−2i-22-2211-1-10000000000−ii−ii001-1000000000000
χ544-4-44−4i4i01-20-1-1221-23-3−i2ii−2i−3i3i−2i2i−2i2i2-22-2-1-1110000000000i−ii−i00-11000000000000
χ554-4-44−4i4i01-20-1-1221-2-33−i2ii−2i3i−3i2i−2i−2i2i-222-211-1-10000000000−iii−i00-11000000000000
χ564-4-44−4i4i01-20-1-1221-2-33−i2ii−2i3i−3i−2i2i2i−2i2-2-22-1-1110000000000i−i−ii001-1000000000000
χ5788-8-80002-402-2-44-24000000000000000023−2323−23000000000000000000000000000000
χ5888-8-80002-402-2-44-240000000000000000−2323−2323000000000000000000000000000000
χ5988-8-8000-420-442-24-2000000000000000000000000000000000023−2300000000000000
χ6088-8-8000-420-442-24-20000000000000000000000000000000000−232300000000000000
χ618-88-80002-40-224-4-24000000000000000023−23−2323000000000000000000000000000000
χ628-88-80002-40-224-4-240000000000000000−232323−23000000000000000000000000000000
χ638-88-8000-4204-4-224-20000000000000000000000000000000000000023−230000000000
χ648-88-8000-4204-4-224-200000000000000000000000000000000000000−23230000000000
χ658-8-888i−8i0-42044-2-2-4200−4i2i4i−2i00000000000000000000000000000000000000000000
χ668-8-88−8i8i0-42044-2-2-42004i−2i−4i2i00000000000000000000000000000000000000000000

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