Finite Group Databasebeta

← Group #11920710

Character table — Group #11920710

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222666688881212121212121212121212121212121212121616161616161616161624242424242436364848484872727272
order12442346661212121222443612124444668812121212121212121212366661212121212882424242488242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-1-1-111-1-11-1-1111-11-111-1-111-1-1-11i−i1-11111-1-1-1-11-1-1-11111-1-11-111-1-1i−iii−i−ii−ii−i
χ611-1-1-111-1-11-1-1111-11-111-1-111-1-1-11−ii1-11111-1-1-1-11-1-1-11111-1-11-111-1-1−ii−i−iii−ii−ii
χ711-1-1-111-1-11-1-1111-11-111-1-1-1-111-11i−i1-1-1-1-1-111111-1-1-11111-1-1-11-1-111i−iii−i−i−ii−ii
χ811-1-1-111-1-11-1-1111-11-111-1-1-1-111-11−ii1-1-1-1-1-111111-1-1-11111-1-1-11-1-111−ii−i−iiii−ii−i
χ9222222222222222222-1-1-1-1000022222200000000-1-1-1-1-1-1-1-1-1-100000022-1-1-1-10000
χ10222222222222222222-1-1-1-1000022-2-22200000000-1-1-1-1-1-1-1-1-1-1000000-2-211110000
χ1122222-12-1-1-1-1-1-1-1222222222222-1-100-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-10000000000
χ1222222-12-1-1-1-1-1-1-122222222-2-2-2-2-1-100-1-111111111-12-1-1-12-1-1-1-1-2-211110000000000
χ132222-22-2-2-2222-2-2-222-2222200002-2002-2000000002-2-2-22-2-2-2220000000000000000
χ142222-22-2-2-2222-2-2-222-2-1-1-1-100002-2002-200000000-1111-1111-1-100000000−i3i3−i3i30000
χ152222-22-2-2-2222-2-2-222-2-1-1-1-100002-2002-200000000-1111-1111-1-100000000i3−i3i3−i30000
χ162222-2-1-211-1-1-111-222-222220000-1100-1133−3−333−3−3-1-211-1-211-1-1003−33−30000000000
χ172222-2-1-211-1-1-111-222-222220000-1100-11−3−333−3−333-1-211-1-211-1-100−33−330000000000
χ1822-2-222-2222-2-2-2-2-2-22222-2-20000-2-200220000000022222-2-2-2-2-20000000000000000
χ1922-2-222-2222-2-2-2-2-2-222-1-1110000-2-2002200000000-1-1-1-1-111111000000003−3−330000
χ2022-2-222-2222-2-2-2-2-2-222-1-1110000-2-2002200000000-1-1-1-1-11111100000000−333−30000
χ2122-2-22-1-2-1-1-11111-2-22222-2-200001100-1-133−3−3−3−333-12-1-1-1-21111003−3−330000000000
χ2222-2-22-1-2-1-1-11111-2-22222-2-200001100-1-1−3−33333−3−3-12-1-1-1-2111100−333−30000000000
χ2322-2-2-222-2-22-2-2222-22-2-1-1110000-222i−2i2-200000000-1111-1-1-1-1110000002i−2i−i−iii0000
χ2422-2-2-222-2-22-2-2222-22-2-1-1110000-22−2i2i2-200000000-1111-1-1-1-111000000−2i2iii−i−i0000
χ2522-2-2-2-1211-111-1-12-22-222-2-222-2-21-100-11-1-1-1-11111-1-211-12-1-1112-2-1-1110000000000
χ2622-2-2-2-1211-111-1-12-22-222-2-2-2-2221-100-111111-1-1-1-1-1-211-12-1-111-2211-1-10000000000
χ2733333333333333-1-1-1-100001111-1-133-1-1111111110000000000-1-1-1-1-1-1-1-1000011-1-1
χ2833333333333333-1-1-1-100001111-1-1-3-3-1-1111111110000000000-1-1-1-1-1-1110000-1-111
χ2933333333333333-1-1-1-10000-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-10000000000111111-1-10000-1-111
χ3033333333333333-1-1-1-10000-1-1-1-1-1-1-3-3-1-1-1-1-1-1-1-1-1-1000000000011111111000011-1-1
χ3133-3-3-333-3-33-3-333-11-11000011-1-11-13i−3i-111111-1-1-1-10000000000-11-1-111−ii0000i−i−ii
χ3233-3-3-333-3-33-3-333-11-11000011-1-11-1−3i3i-111111-1-1-1-10000000000-11-1-111i−i0000−iii−i
χ3333-3-3-333-3-33-3-333-11-110000-1-1111-13i−3i-11-1-1-1-1111100000000001-111-1-1−ii0000−iii−i
χ3433-3-3-333-3-33-3-333-11-110000-1-1111-1−3i3i-11-1-1-1-1111100000000001-111-1-1i−i0000i−i−ii
χ3544444-24-2-2-2-2-2-2-24444-2-2-2-20000-2-200-2-2000000001-2111-211110000000000000000
χ364444-4-2-422-2-2-222-444-4-2-2-2-20000-2200-220000000012-1-112-1-1110000000000000000
χ3744-4-44-2-4-2-2-22222-4-444-2-22200002200-2-2000000001-21112-1-1-1-10000000000000000
χ3844-4-4-4-2422-222-2-24-44-4-2-22200002-200-220000000012-1-11-211-1-10000000000000000
χ394-44i−4i04000-44i−4i000000-222i−2i2-22i−2i0000002-22-22i−2i2i−2i-200020002i−2i0000000000000000
χ404-44i−4i04000-44i−4i000000-222i−2i-22−2i2i000000-22-22−2i2i−2i2i-200020002i−2i0000000000000000
χ414-44i−4i0-20−2i32i32−2i2i23−230000-222i−2i2-22i−2i000000−1+31−3−1−31+3ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ1110−i3i3-103−3−ii0000000000000000
χ424-44i−4i0-20−2i32i32−2i2i23−230000-222i−2i-22−2i2i0000001−3−1+31+3−1−3−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ1110−i3i3-103−3−ii0000000000000000
χ434-44i−4i0-202i3−2i32−2i2i−23230000-222i−2i2-22i−2i000000−1−31+3−1+31−3−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ1110i3−i3-10−33−ii0000000000000000
χ444-44i−4i0-202i3−2i32−2i2i−23230000-222i−2i-22−2i2i0000001+3−1−31−3−1+3ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ1110i3−i3-10−33−ii0000000000000000
χ454-4−4i4i04000-4−4i4i000000-22−2i2i2-2−2i2i0000002-22-2−2i2i−2i2i-20002000−2i2i0000000000000000
χ464-4−4i4i04000-4−4i4i000000-22−2i2i-222i−2i000000-22-222i−2i2i−2i-20002000−2i2i0000000000000000
χ474-4−4i4i0-20−2i32i322i−2i−23230000-22−2i2i2-2−2i2i000000−1−31+3−1+31−3ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ1110−i3i3-10−33i−i0000000000000000
χ484-4−4i4i0-20−2i32i322i−2i−23230000-22−2i2i-222i−2i0000001+3−1−31−3−1+3−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ1110−i3i3-10−33i−i0000000000000000
χ494-4−4i4i0-202i3−2i322i−2i23−230000-22−2i2i2-2−2i2i000000−1+31−3−1−31+3−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ1110i3−i3-103−3i−i0000000000000000
χ504-4−4i4i0-202i3−2i322i−2i23−230000-22−2i2i-222i−2i0000001−3−1+31+3−1−3ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ1110i3−i3-103−3i−i0000000000000000
χ5166666-36-3-3-3-3-3-3-3-2-2-2-200002222110011-1-1-1-1-1-1-1-10000000000-2-211110000000000
χ5266666-36-3-3-3-3-3-3-3-2-2-2-20000-2-2-2-211001111111111000000000022-1-1-1-10000000000
χ536666-66-6-6-6666-6-62-2-2200000000-2200-220000000000000000000000000000000000
χ546666-6-3-633-3-3-3332-2-22000000001-1001-133−3−333−3−3000000000000−33−330000000000
χ556666-6-3-633-3-3-3332-2-22000000001-1001-1−3−333−3−3330000000000003−33−30000000000
χ5666-6-666-6666-6-6-6-622-2-2000000002200-2-20000000000000000000000000000000000
χ5766-6-66-3-6-3-3-3333322-2-200000000-1-1001133−3−3−3−333000000000000−333−30000000000
χ5866-6-66-3-6-3-3-3333322-2-200000000-1-10011−3−33333−3−30000000000003−3−330000000000
χ5966-6-6-6-3633-333-3-3-22-22000022-2-2-11001-1-1-1-1-111110000000000-2211-1-10000000000
χ6066-6-6-6-3633-333-3-3-22-220000-2-222-11001-11111-1-1-1-100000000002-2-1-1110000000000
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.