Finite Group Databasebeta

← Group #13155438

Character table — Group #13155438

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222244444444444444444444448888888888881212121212121212121212121212121212121212121224242424242424242424242424242424363636363636363636365454545472727272
order1244233346661212121212123336666666612121212121212121212123666661212121212122444881212121212121212121212121212121266661212121224242424242424242444881212121222446122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1
χ51111111111111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1
χ71111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-111
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ911-1-1-11111111-1-1-1-1-1-111111-1-1-1-11-111111-1-1-1-1-1-11-1-1-1-111111-1-11-1i−ii−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1ii−i−iii−i−i1-1i−ii−iii−i−i1-11-11-1i−i
χ1011-1-1-11111111-1-1-1-1-1-111111-1-1-1-11-111111-1-1-1-1-1-11-1-1-1-111111-1-11-1i−i−iiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1−i−iii−i−iii-11−iii−i−i−iii-11-11-11i−i
χ1111-1-1-11111111-1-1-1-1-1-111111-1-1-1-11-111111-1-1-1-1-1-11-1-1-1-111111-1-11-1−iii−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1ii−i−iii−i−i-11i−i−iiii−i−i-11-11-11−ii
χ1211-1-1-11111111-1-1-1-1-1-111111-1-1-1-11-111111-1-1-1-1-1-11-1-1-1-111111-1-11-1−ii−ii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−iii−i−iii1-1−ii−ii−i−iii1-11-11-1−ii
χ1311-1-1-11111111-1-1-1-1-1-111111-1-1-1-11-111111-1-1-1-1-1-11-1-1-1-111111-1-1-11i−ii−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111ii−i−iii−i−i1-1−ii−ii−i−iii-11-111-1−ii
χ1411-1-1-11111111-1-1-1-1-1-111111-1-1-1-11-111111-1-1-1-1-1-11-1-1-1-111111-1-1-11i−i−iiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−iii−i−iii-11i−i−iiii−i−i1-11-1-11−ii
χ1511-1-1-11111111-1-1-1-1-1-111111-1-1-1-11-111111-1-1-1-1-1-11-1-1-1-111111-1-1-11−iii−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111ii−i−iii−i−i-11−iii−i−i−iii1-11-1-11i−i
χ1611-1-1-11111111-1-1-1-1-1-111111-1-1-1-11-111111-1-1-1-1-1-11-1-1-1-111111-1-1-11−ii−ii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111−i−iii−i−iii1-1i−ii−iii−i−i-11-111-1i−i
χ172222222-1222-122-1-122-1-12-1-12-1-1-12222-1-1-1-1-122-1-1-1-12-1-1-1-12-1-1-1-100222222-1-1-1-1-1-122-1-1-1-1-1-1000000002-12-1-1-1-1-122000000000000-1-100
χ182222222-1222-122-1-122-1-12-1-12-1-1-12222-1-1-1-1-122-1-1-1-12-1-1-1-12-1-1-1-10022-2-222-1-1-1-1-1-122-1-1-1-1-1-100000000-21-211111-2-20000000000001100
χ192222222-1222-122-1-122-1-12-1-12-1-1-12222-1-1-1-1-122-1-1-1-12-1-1-1-12-1-1-1-100-2-222-2-2111111-2-2111111000000002-12-1-1-1-1-1-2-20000000000001100
χ202222222-1222-122-1-122-1-12-1-12-1-1-12222-1-1-1-1-122-1-1-1-12-1-1-1-12-1-1-1-100-2-2-2-2-2-2111111-2-211111100000000-21-21111122000000000000-1-100
χ21222222-1222-122222-1-12-1-12-1-12-1-1-122-12-1-1-1-1-1-122-12-1-1-1-12-1-1-1-1-1222200-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-1000000000000220000000000-1-1
χ22222222-1222-122222-1-12-1-12-1-12-1-1-122-12-1-1-1-1-1-122-12-1-1-1-12-1-1-1-1-122-2-20011-2-2111111-2-211112-1-1-12-1-1-1000000000000-2-2000000000011
χ23222222-1222-122222-1-12-1-12-1-12-1-1-122-12-1-1-1-1-1-122-12-1-1-1-12-1-1-1-1-1-2-22200-1-122-1-1-1-1-1-122-1-1-1-1-2111-2111000000000000-2-2000000000011
χ24222222-1222-122222-1-12-1-12-1-12-1-1-122-12-1-1-1-1-1-122-12-1-1-1-12-1-1-1-1-1-2-2-2-20011-2-2111111-2-21111-2111-2111000000000000220000000000-1-1
χ2522222-1222-122-1-12222-12-1-122222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200220000000000000000-12-1-1-12-1-1-12-12-1-1-1-1002200-1-1-1-100000000
χ2622222-1222-122-1-12222-12-1-122222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200-2-20000000000000000-12-1-1-12-1-11-21-2111100-2-200111100000000
χ2722222-1222-122-1-12222-12-1-122222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2002200000000000000001-2111-211-12-12-1-1-1-100-2-200111100000000
χ2822222-1222-122-1-12222-12-1-122222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200000000000000001-2111-2111-21-21111002200-1-1-1-100000000
χ292222-2222-222222222222222-2-2-2-22-2-2-2-2-2-22222222-2-2-2-22-2-2-2-2220000000000000000000000000000000000000000000000002-2-220000
χ302222-2222-222222222222222-2-2-2-22-2-2-2-2-2-22222222-2-2-2-22-2-2-2-222000000000000000000000000000000000000000000000000-222-20000
χ3122-2-22222-2222-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-200000000000000000000000000000000000000000000000022-2-20000
χ3222-2-22222-2222-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2000000000000000000000000000000000000000000000000-2-2220000
χ3322-2-2-222-1222-1-2-211-2-2-1-12-1-1-21112-222-1-1-111-2-211-11-211-1-12-1-111002i−2i2i−2i2i2i−i−i−i−i−i−i−2i−2iiiiiii000000002i−i−2ii−i−iii2-2000000000000-1100
χ3422-2-2-222-1222-1-2-211-2-2-1-12-1-1-21112-222-1-1-111-2-211-11-211-1-12-1-111002i−2i−2i2i2i2i−i−i−i−i−i−i−2i−2iiiiiii00000000−2ii2i−iii−i−i-220000000000001-100
χ3522-2-2-222-1222-1-2-211-2-2-1-12-1-1-21112-222-1-1-111-2-211-11-211-1-12-1-11100−2i2i2i−2i−2i−2iiiiiii2i2i−i−i−i−i−i−i000000002i−i−2ii−i−iii-220000000000001-100
χ3622-2-2-222-1222-1-2-211-2-2-1-12-1-1-21112-222-1-1-111-2-211-11-211-1-12-1-11100−2i2i−2i2i−2i−2iiiiiii2i2i−i−i−i−i−i−i00000000−2ii2i−iii−i−i2-2000000000000-1100
χ3722-2-2-22-1222-12-2-2-2-2112-1-12-11-211-1-22-12-1-11111-2-2-1-2111-12-1-1-1112-22i−2i00−i−i2i2i−i−i−i−iii−2i−2iiiii2-1-1-1-21110000000000002i−2i0000000000−ii
χ3822-2-2-22-1222-12-2-2-2-2112-1-12-11-211-1-22-12-1-11111-2-2-1-2111-12-1-1-1112-2−2i2i00ii−2i−2iiiii−i−i2i2i−i−i−i−i2-1-1-1-2111000000000000−2i2i0000000000i−i
χ3922-2-2-22-1222-12-2-2-2-2112-1-12-11-211-1-22-12-1-11111-2-2-1-2111-12-1-1-111-222i−2i00−i−i2i2i−i−i−i−iii−2i−2iiiii-21112-1-1-1000000000000−2i2i0000000000i−i
χ4022-2-2-22-1222-12-2-2-2-2112-1-12-11-211-1-22-12-1-11111-2-2-1-2111-12-1-1-111-22−2i2i00ii−2i−2iiiii−i−i2i2i−i−i−i−i-21112-1-1-10000000000002i−2i0000000000−ii
χ4122-2-2-2-1222-12211-2-2-2-2-12-1-12-2-2-2-2-11-12222-2-21111-11111-1-1-1-1-1112-2002i−2i0000000000000000-12-1-11-211−i2ii−2i−i−iii002i−2i00−i−iii00000000
χ4222-2-2-2-1222-12211-2-2-2-2-12-1-12-2-2-2-2-11-12222-2-21111-11111-1-1-1-1-1112-200−2i2i0000000000000000-12-1-11-211i−2i−i2iii−i−i00−2i2i00ii−i−i00000000
χ4322-2-2-2-1222-12211-2-2-2-2-12-1-12-2-2-2-2-11-12222-2-21111-11111-1-1-1-1-111-22002i−2i00000000000000001-211-12-1-1−i2ii−2i−i−iii00−2i2i00ii−i−i00000000
χ4422-2-2-2-1222-12211-2-2-2-2-12-1-12-2-2-2-2-11-12222-2-21111-11111-1-1-1-1-111-2200−2i2i00000000000000001-211-12-1-1i−2i−i2iii−i−i002i−2i00−i−iii00000000
χ45444444-2-244-2-244-2-2-2-2-21-2-21-2-211-244-2-21111-2-2-2-21-2-2111-2-21111004400-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ46444444-2-244-2-244-2-2-2-2-21-2-21-2-211-244-2-21111-2-2-2-21-2-2111-2-2111100-4-4002222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ4744444-24-24-24-2-2-2-2-2441-2-21-24-2-2-2-2-2-24-2-2-2-2-2-2-21111-21111-21111000044000000000000000000000000-2-2-2-21111000000000000000000
χ4844444-24-24-24-2-2-2-2-2441-2-21-24-2-2-2-2-2-24-2-2-2-2-2-2-21111-21111-211110000-4-40000000000000000000000002222-1-1-1-1000000000000000000
χ4944444-2-244-2-24-2-244-2-2-2-21-2-2-24-2-21-2-2-24-2-2-2-211-2-21-21111-2111114400000000000000000000-2-211-2-21100000000000000000000000000
χ5044444-2-244-2-24-2-244-2-2-2-21-2-2-24-2-21-2-2-24-2-2-2-211-2-21-21111-211111-4-40000000000000000000022-1-122-1-100000000000000000000000000
χ514444-444-2-444-244-2-244-2-24-2-2-42224-4-4-4222-2-244-2-2-22-422-22-422-2-200000000000000000000000000000000000000000000000000000000
χ524444-44-24-44-244444-2-24-2-24-22-422-2-4-42-422-2-2-2-244-2-4222-2-4222-2-200000000000000000000000000000000000000000000000000000000
χ534444-44-2-2-44-2-244-2-2-2-2-21-2-2122-1-1-2-4-422-1-111-2-2-2-2122-1-1122-1-11100000000003i3i−3i−3i00003i3i−3i−3i0000000000000000000000000000000000
χ544444-44-2-2-44-2-244-2-2-2-2-21-2-2122-1-1-2-4-422-1-111-2-2-2-2122-1-1122-1-1110000000000−3i−3i3i3i0000−3i−3i3i3i0000000000000000000000000000000000
χ554444-4-244-4-244-2-24444-24-2-24-4-4-4-4-222-4-4-4-444-2-2-2-2-22222-22222-2-200000000000000000000000000000000000000000000000000000000
χ564444-4-24-2-4-24-2-2-2-2-2441-2-21-2-4222-222-4222-2-2-2-2111-12-1-11-12-1-11100000000000000000000000000000000003-33-3000000000000000000
χ574444-4-24-2-4-24-2-2-2-2-2441-2-21-2-4222-222-4222-2-2-2-2111-12-1-11-12-1-1110000000000000000000000000000000000-33-33000000000000000000
χ584444-4-2-24-4-2-24-2-244-2-2-2-21-2-22-4221222-422-2-211-2-212-1-1-112-1-1-1110000000000000000000000003-3003-300000000000000000000000000
χ594444-4-2-24-4-2-24-2-244-2-2-2-21-2-22-4221222-422-2-211-2-212-1-1-112-1-1-111000000000000000000000000-3300-3300000000000000000000000000
χ6044-4-4444-2-444-2-4-422-4-4-2-24-2-24-2-2-244-4-422222-4-422-2-24-2-2-22-4222200000000000000000000000000000000000000000000000000000000
χ6144-4-444-24-44-24-4-4-4-4224-2-24-2-24-2-2-24-42-4222222-4-4-24-2-2-2-2-42222200000000000000000000000000000000000000000000000000000000
χ6244-4-444-2-2-44-2-2-4-42222-21-2-21-2-211-24-422-1-1-1-122221-2-211122-1-1-1-1000000000033-3-30000-3-3330000000000000000000000000000000000
χ6344-4-444-2-2-44-2-2-4-42222-21-2-21-2-211-24-422-1-1-1-122221-2-211122-1-1-1-10000000000-3-333000033-3-30000000000000000000000000000000000
χ6444-4-44-244-4-24422-4-4-4-4-24-2-244444-2-22-4-4-4-4-4-42222-2-2-2-2-2-222222200000000000000000000000000000000000000000000000000000000
χ6544-4-44-24-2-4-24-22222-4-41-2-21-24-2-2-2-2-22-42222222-1-111-2111-12-1-1-1-100000000000000000000000000000000003i−3i−3i3i000000000000000000
χ6644-4-44-24-2-4-24-22222-4-41-2-21-24-2-2-2-2-22-42222222-1-111-2111-12-1-1-1-10000000000000000000000000000000000−3i3i3i−3i000000000000000000
χ6744-4-44-2-24-4-2-2422-4-422-2-21-2-2-24-2-21-222-42222-1-1221-211112-1-1-1-1-10000000000000000000000003-300-3300000000000000000000000000
χ6844-4-44-2-24-4-2-2422-4-422-2-21-2-2-24-2-21-222-42222-1-1221-211112-1-1-1-1-1000000000000000000000000-33003-300000000000000000000000000
χ6944-4-4-44-2-244-2-2-4-42222-21-2-2122-1-1-2-44-2-211-1-12222122-1-11-2-211-1-1004i−4i00−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i0000000000000000000000000000000000
χ7044-4-4-44-2-244-2-2-4-42222-21-2-2122-1-1-2-44-2-211-1-12222122-1-11-2-211-1-100−4i4i002i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii0000000000000000000000000000000000
χ7144-4-4-4-24-24-24-22222-4-41-2-21-2-4222-22-24-2-2-22222-1-11-12-1-111-211-1-100004i−4i000000000000000000000000−2i−2i2i2iii−i−i000000000000000000
χ7244-4-4-4-24-24-24-22222-4-41-2-21-2-4222-22-24-2-2-22222-1-11-12-1-111-211-1-10000−4i4i0000000000000000000000002i2i−2i−2i−i−iii000000000000000000
χ7344-4-4-4-2-244-2-2422-4-422-2-21-2-22-42212-2-24-2-222-1-12212-1-1-11-2111-1-14-400000000000000000000-2-21122-1-100000000000000000000000000
χ7444-4-4-4-2-244-2-2422-4-422-2-21-2-22-42212-2-24-2-222-1-12212-1-1-11-2111-1-1-440000000000000000000022-1-1-2-21100000000000000000000000000
χ754-44i−4i04440-4-4-44i−4i4i−4i4i−4i444-4-40000-40000004i−4i4i−4i4i−4i40000-400004i−4i00000000000000000000000000000000000000000000000000000000
χ764-44i−4i044-20-4-424i−4i−2i2i4i−4i-2-24220000-4000000−2i2i4i−4i−2i2i-2000020000−2i2i00000000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ1100−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ110000000000000000000000000000000000
χ774-44i−4i044-20-4-424i−4i−2i2i4i−4i-2-24220000-4000000−2i2i4i−4i−2i2i-2000020000−2i2i00000000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ1100ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ110000000000000000000000000000000000
χ784-44i−4i04-240-42-44i−4i4i−4i−2i2i4-2-2-4200002000000−2i2i−2i2i4i−4i-2000020000−2i2i000000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ1100−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ1100ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ110000000000000000000000000000000000
χ794-44i−4i04-240-42-44i−4i4i−4i−2i2i4-2-2-4200002000000−2i2i−2i2i4i−4i-2000020000−2i2i000000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ1100ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ1100−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ110000000000000000000000000000000000
χ804-44i−4i04-2-20-4224i−4i−2i2i−2i2i-21-22-1003-3200003i−3ii−i−2i2i−2i2i1003-3-1003i−3ii−i000000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11i3−i3−33−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ113−3i3−i30000000000000000000000000000000000
χ814-44i−4i04-2-20-4224i−4i−2i2i−2i2i-21-22-1003-3200003i−3ii−i−2i2i−2i2i1003-3-1003i−3ii−i000000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−i3i33−3ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−33−i3i30000000000000000000000000000000000
χ824-44i−4i04-2-20-4224i−4i−2i2i−2i2i-21-22-100-3320000−3i3ii−i−2i2i−2i2i100-33-100−3i3ii−i000000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ113−3−i3i3−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−i3i3−330000000000000000000000000000000000
χ834-44i−4i04-2-20-4224i−4i−2i2i−2i2i-21-22-100-3320000−3i3ii−i−2i2i−2i2i100-33-100−3i3ii−i000000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−33i3−i3ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11i3−i33−30000000000000000000000000000000000
χ844-44i−4i0-24402-4-4−2i2i4i−4i4i−4i-24-22-4000020000004i−4i−2i2i−2i2i-2000020000−2i2i00000000000000000000000000000000000000000000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ1100000000
χ854-44i−4i0-24402-4-4−2i2i4i−4i4i−4i-24-22-4000020000004i−4i−2i2i−2i2i-2000020000−2i2i00000000000000000000000000000000000000000000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ1100000000
χ864-4−4i4i04440-4-4-4−4i4i−4i4i−4i4i444-4-40000-4000000−4i4i−4i4i−4i4i40000-40000−4i4i00000000000000000000000000000000000000000000000000000000
χ874-4−4i4i044-20-4-42−4i4i2i−2i−4i4i-2-24220000-40000002i−2i−4i4i2i−2i-20000200002i−2i00000000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ1100−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ110000000000000000000000000000000000
χ884-4−4i4i044-20-4-42−4i4i2i−2i−4i4i-2-24220000-40000002i−2i−4i4i2i−2i-20000200002i−2i00000000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ1100ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ110000000000000000000000000000000000
χ894-4−4i4i04-240-42-4−4i4i−4i4i2i−2i4-2-2-42000020000002i−2i2i−2i−4i4i-20000200002i−2i000000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ1100−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ1100ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ110000000000000000000000000000000000
χ904-4−4i4i04-240-42-4−4i4i−4i4i2i−2i4-2-2-42000020000002i−2i2i−2i−4i4i-20000200002i−2i000000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ1100ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ1100−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ110000000000000000000000000000000000
χ914-4−4i4i04-2-20-422−4i4i2i−2i2i−2i-21-22-1003-320000−3i3i−ii2i−2i2i−2i1003-3-100−3i3i−ii000000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11i3−i33−3−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−33i3−i30000000000000000000000000000000000
χ924-4−4i4i04-2-20-422−4i4i2i−2i2i−2i-21-22-1003-320000−3i3i−ii2i−2i2i−2i1003-3-100−3i3i−ii000000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−i3i3−33ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ113−3−i3i30000000000000000000000000000000000
χ934-4−4i4i04-2-20-422−4i4i2i−2i2i−2i-21-22-100-33200003i−3i−ii2i−2i2i−2i100-33-1003i−3i−ii000000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−33−i3i3−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−i3i33−30000000000000000000000000000000000
χ944-4−4i4i04-2-20-422−4i4i2i−2i2i−2i-21-22-100-33200003i−3i−ii2i−2i2i−2i100-33-1003i−3i−ii000000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ113−3i3−i3ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11i3−i3−330000000000000000000000000000000000
χ954-4−4i4i0-24402-4-42i−2i−4i4i−4i4i-24-22-400002000000−4i4i2i−2i2i−2i-20000200002i−2i00000000000000000000000000000000000000000000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ1100000000
χ964-4−4i4i0-24402-4-42i−2i−4i4i−4i4i-24-22-400002000000−4i4i2i−2i2i−2i-20000200002i−2i00000000000000000000000000000000000000000000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ1100000000
χ9788888-4-4-48-4-4-4-4-4-4-4-4-422222-4-4222-4-4-4-422222222-122-1-1-122-1-1-1-100000000000000000000000000000000000000000000000000000000
χ988888-8-4-4-4-8-4-4-4-4-4-4-4-4-42222244-2-224444-2-2222222-1-2-211-1-2-211-1-100000000000000000000000000000000000000000000000000000000
χ9988-8-88-4-4-4-8-4-4-444444422222-4-4222-4444-2-2-2-2-2-2-2-2-122-1-1-1-2-2111100000000000000000000000000000000000000000000000000000000
χ10088-8-8-8-4-4-48-4-4-44444442222244-2-224-4-4-422-2-2-2-2-2-2-1-2-211-122-1-11100000000000000000000000000000000000000000000000000000000
χ1018-88i−8i0-48-404-84−4i4i−4i4i8i−8i2-4-4-2400004000000−4i4i−4i4i2i−2i20000-200002i−2i00000000000000000000000000000000000000000000000000000000
χ1028-88i−8i0-4-48044-8−4i4i8i−8i−4i4i-4-42440000-2000000−4i4i2i−2i−4i4i20000-200002i−2i00000000000000000000000000000000000000000000000000000000
χ1038-88i−8i0-4-4-40444−4i4i−4i4i−4i4i222-2-2006-6-200006i−6i2i−2i2i−2i2i−2i-100-33100−3i3i−ii00000000000000000000000000000000000000000000000000000000
χ1048-88i−8i0-4-4-40444−4i4i−4i4i−4i4i222-2-200-66-20000−6i6i2i−2i2i−2i2i−2i-1003-31003i−3i−ii00000000000000000000000000000000000000000000000000000000
χ1058-8−8i8i0-48-404-844i−4i4i−4i−8i8i2-4-4-24000040000004i−4i4i−4i−2i2i20000-20000−2i2i00000000000000000000000000000000000000000000000000000000
χ1068-8−8i8i0-4-48044-84i−4i−8i8i4i−4i-4-42440000-20000004i−4i−2i2i4i−4i20000-20000−2i2i00000000000000000000000000000000000000000000000000000000
χ1078-8−8i8i0-4-4-404444i−4i4i−4i4i−4i222-2-2006-6-20000−6i6i−2i2i−2i2i−2i2i-100-331003i−3ii−i00000000000000000000000000000000000000000000000000000000
χ1088-8−8i8i0-4-4-404444i−4i4i−4i4i−4i222-2-200-66-200006i−6i−2i2i−2i2i−2i2i-1003-3100−3i3ii−i00000000000000000000000000000000000000000000000000000000

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