Finite Group Databasebeta

← Group #11922329

Character table — Group #11922329

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222666688881212121212121212121212121212121212121616161616161616161624242424242436364848484872727272
order124423466612121212224436121224444466121212121212121212123666612121212128824242424246612122488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1
χ31111111111111111111111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-1-1-111-1-11-1-111-11-1111-1-11-111-1-1-111-11111-1-1-1-11-1-1-11111-1-11-111-1-1-1111-1-11-11-1
χ611-1-1-111-1-11-1-111-11-1111-1-11-1-1-111-111-1-1-1-1-111111-1-1-11111-1-1-11-1-111-1111-1-1-11-11
χ711-1-1-111-1-11-1-111-11-1111-1-1-1111-1-1-111-11111-1-1-1-11-1-1-11111-1-11-111-1-11-1-1-111-11-11
χ811-1-1-111-1-11-1-111-11-1111-1-1-11-1-111-111-1-1-1-1-111111-1-1-11111-1-1-11-1-1111-1-1-1111-11-1
χ9222222222222222222-1-1-1-1220000222200000000-1-1-1-1-1-1-1-1-1-100000022-1-1-1-10000
χ10222222222222222222-1-1-1-1-2-20000222200000000-1-1-1-1-1-1-1-1-1-1000000-2-211110000
χ1122222-12-1-1-1-1-1-1-122222222002222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-10000000000
χ1222222-12-1-1-1-1-1-1-12222222200-2-2-2-2-1-1-1-111111111-12-1-1-12-1-1-1-1-2-211110000000000
χ132222-22-2-2-2222-2-22-2-2222220000002-22-2000000002-2-2-22-2-2-2220000000000000000
χ142222-22-2-2-2222-2-22-2-22-1-1-1-10000002-22-200000000-1111-1111-1-100000000−i3i3−i3i30000
χ152222-22-2-2-2222-2-22-2-22-1-1-1-10000002-22-200000000-1111-1111-1-100000000i3−i3i3−i30000
χ162222-2-1-211-1-1-1112-2-222222000000-11-1133−3−333−3−3-1-211-1-211-1-1003−33−30000000000
χ172222-2-1-211-1-1-1112-2-222222000000-11-11−3−333−3−333-1-211-1-211-1-100−33−330000000000
χ1822-2-222-2222-2-2-2-2-2-22222-2-2000000-2-2220000000022222-2-2-2-2-20000000000000000
χ1922-2-222-2222-2-2-2-2-2-222-1-111000000-2-22200000000-1-1-1-1-11111100000000−i3i3i3−i30000
χ2022-2-222-2222-2-2-2-2-2-222-1-111000000-2-22200000000-1-1-1-1-11111100000000i3−i3−i3i30000
χ2122-2-22-1-2-1-1-11111-2-22222-2-200000011-1-133−3−3−3−333-12-1-1-1-21111003−3−330000000000
χ2222-2-22-1-2-1-1-11111-2-22222-2-200000011-1-1−3−33333−3−3-12-1-1-1-2111100−333−30000000000
χ2322-2-2-222-2-22-2-222-22-22-1-1112-20000-222-200000000-1111-1-1-1-111000000-22-1-1110000
χ2422-2-2-222-2-22-2-222-22-22-1-111-220000-222-200000000-1111-1-1-1-1110000002-211-1-10000
χ2522-2-2-2-1211-111-1-1-22-2222-2-20022-2-21-1-11-1-1-1-11111-1-211-12-1-1112-2-1-1110000000000
χ2622-2-2-2-1211-111-1-1-22-2222-2-200-2-2221-1-111111-1-1-1-1-1-211-12-1-111-2211-1-10000000000
χ2733333333333333-1-1-1-10000331111-1-1-1-1111111110000000000-1-1-1-1-1-1-1-10000-1-111
χ2833333333333333-1-1-1-1000033-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000111111-1-1000011-1-1
χ2933333333333333-1-1-1-10000-3-31111-1-1-1-1111111110000000000-1-1-1-1-1-111000011-1-1
χ3033333333333333-1-1-1-10000-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000111111110000-1-111
χ3133-3-3-333-3-33-3-3331-11-100003-311-1-11-1-111111-1-1-1-10000000000-11-1-1111-10000-111-1
χ3233-3-3-333-3-33-3-3331-11-100003-3-1-1111-1-11-1-1-1-1111100000000001-111-1-11-100001-1-11
χ3333-3-3-333-3-33-3-3331-11-10000-3311-1-11-1-111111-1-1-1-10000000000-11-1-111-1100001-1-11
χ3433-3-3-333-3-33-3-3331-11-10000-33-1-1111-1-11-1-1-1-1111100000000001-111-1-1-110000-111-1
χ3544444-24-2-2-2-2-2-2-24444-2-2-2-2000000-2-2-2-2000000001-2111-211110000000000000000
χ364444-4-2-422-2-2-2224-4-44-2-2-2-2000000-22-220000000012-1-112-1-1110000000000000000
χ3744-4-44-2-4-2-2-22222-4-444-2-22200000022-2-2000000001-21112-1-1-1-10000000000000000
χ3844-4-4-4-2422-222-2-2-44-44-2-2220000002-2-220000000012-1-11-211-1-10000000000000000
χ394-44i−4i04000-44i−4i000000-222i−2i002i−2i2-200002i−2i2i−2i2-22-2-200020002i−2i0000000000000000
χ404-44i−4i04000-44i−4i000000-222i−2i00−2i2i-220000−2i2i−2i2i-22-22-200020002i−2i0000000000000000
χ414-44i−4i0-20−2i32i32−2i2i23−230000-222i−2i002i−2i2-20000−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−1−31+3−1+31−310−i3i3-103−3−ii0000000000000000
χ424-44i−4i0-20−2i32i32−2i2i23−230000-222i−2i00−2i2i-220000ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ111+3−1−31−3−1+310−i3i3-103−3−ii0000000000000000
χ434-44i−4i0-202i3−2i32−2i2i−23230000-222i−2i002i−2i2-20000ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−1+31−3−1−31+310i3−i3-10−33−ii0000000000000000
χ444-44i−4i0-202i3−2i32−2i2i−23230000-222i−2i00−2i2i-220000−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ111−3−1+31+3−1−310i3−i3-10−33−ii0000000000000000
χ454-4−4i4i04000-4−4i4i000000-22−2i2i002i−2i-2200002i−2i2i−2i-22-22-20002000−2i2i0000000000000000
χ464-4−4i4i04000-4−4i4i000000-22−2i2i00−2i2i2-20000−2i2i−2i2i2-22-2-20002000−2i2i0000000000000000
χ474-4−4i4i0-20−2i32i322i−2i−23230000-22−2i2i002i−2i-220000ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ111−3−1+31+3−1−310−i3i3-10−33i−i0000000000000000
χ484-4−4i4i0-20−2i32i322i−2i−23230000-22−2i2i00−2i2i2-20000−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−1+31−3−1−31+310−i3i3-10−33i−i0000000000000000
χ494-4−4i4i0-202i3−2i322i−2i23−230000-22−2i2i002i−2i-220000−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ111+3−1−31−3−1+310i3−i3-103−3i−i0000000000000000
χ504-4−4i4i0-202i3−2i322i−2i23−230000-22−2i2i00−2i2i2-20000ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−1−31+3−1+31−310i3−i3-103−3i−i0000000000000000
χ5166666-36-3-3-3-3-3-3-3-2-2-2-200000022221111-1-1-1-1-1-1-1-10000000000-2-211110000000000
χ5266666-36-3-3-3-3-3-3-3-2-2-2-2000000-2-2-2-2111111111111000000000022-1-1-1-10000000000
χ536666-66-6-6-6666-6-6-222-20000000000-22-220000000000000000000000000000000000
χ546666-6-3-633-3-3-333-222-200000000001-11-133−3−333−3−3000000000000−33−330000000000
χ556666-6-3-633-3-3-333-222-200000000001-11-1−3−333−3−3330000000000003−33−30000000000
χ5666-6-666-6666-6-6-6-622-2-2000000000022-2-20000000000000000000000000000000000
χ5766-6-66-3-6-3-3-3333322-2-20000000000-1-11133−3−3−3−333000000000000−333−30000000000
χ5866-6-66-3-6-3-3-3333322-2-20000000000-1-111−3−33333−3−30000000000003−3−330000000000
χ5966-6-6-6-3633-333-3-32-22-200000022-2-2-111-1-1-1-1-111110000000000-2211-1-10000000000
χ6066-6-6-6-3633-333-3-32-22-2000000-2-222-111-11111-1-1-1-100000000002-2-1-1110000000000
χ618-88i−8i08000-88i−8i0000002-2−2i2i0000000000000000002000-2000−2i2i0000000000000000
χ628-88i−8i0-40−4i34i34−4i4i43−4300002-2−2i2i000000000000000000-10i3−i310−33i−i0000000000000000
χ638-88i−8i0-404i3−4i34−4i4i−434300002-2−2i2i000000000000000000-10−i3i3103−3i−i0000000000000000
χ648-8−8i8i08000-8−8i8i0000002-22i−2i0000000000000000002000-20002i−2i0000000000000000
χ658-8−8i8i0-40−4i34i344i−4i−434300002-22i−2i000000000000000000-10i3−i3103−3−ii0000000000000000
χ668-8−8i8i0-404i3−4i344i−4i43−4300002-22i−2i000000000000000000-10−i3i310−33−ii0000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.