Finite Group Databasebeta

← Group #11790002

Character table — Group #11790002

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order12224444223344666666121212121212121236666666121212121212121224666666666612121212121212121212444488881212121212121212242424242424242488882424242424242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-11-11111-1-11111-1-1-1-111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−ii−ii−iii−i−iii−i−i11-1-11-1
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-11-11111-1-11111-1-1-1-111-1-1-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−iii−iii−i−i−i−iii-1-111-11
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-11-11111-1-11111-1-1-1-111-1-1-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−ii−i−ii−i−iiiii−i−i-1-111-11
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-11-11111-1-11111-1-1-1-111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−ii−ii−i−iii−i−iii11-1-11-1
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−ii−ii−i−iii−i−iii11-1-1-11
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiii−i−ii−i−iiiii−i−i-1-1111-1
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−iii−iii−i−i−i−iii-1-1111-1
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiii−ii−iii−i−iii−i−i11-1-1-11
χ1722222222222-12222-1-12-12222-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-122000000-1-1-1-1000000
χ1822222222222-12222-1-12-12222-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111-2-20000001111000000
χ1922222222222-12222-1-12-12222-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-111110000222200000000-1-1-1-1-1-1-1-1-2-20000001111000000
χ2022222222222-12222-1-12-12222-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-111110000-2-2-2-2000000001111111122000000-1-1-1-1000000
χ212222222222-1222-1-122-12-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000000022-1-1-1-10000000000
χ222222222222-1222-1-122-12-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000111111110000000000-2-211110000000000
χ232222222222-1222-1-122-12-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-2-211-2-2-1-1111111-2-2-1-1111122220000-1-1-1-1-1-1-1-10000000000-2-211110000000000
χ242222222222-1222-1-122-12-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-2-211-2-2-1-1111111-2-2-1-11111-2-2-2-2000011111111000000000022-1-1-1-10000000000
χ2522222222-2-222-2-2222222222222222-2-2-2222-2-2-2-2-22222000000-2-200000000-2-2000000002-22-20000000022-2-222-2-2000000000000000000
χ2622222222-2-222-2-2222222222222222-2-2-2222-2-2-2-2-22222000000-2-200000000-2-200000000-22-2200000000-2-222-2-222000000000000000000
χ2722222222-2-22-1-2-222-1-12-12222-1-1-1-1-1-211-1-1-1-2-2-211-1-1-1-10000−i3i311−i3−i3i3i300−i3i311−i3−i3i3i300002-22-200000000-1-111-1-11100000000−i3i3−i3i3000000
χ2822222222-2-22-1-2-222-1-12-12222-1-1-1-1-1-211-1-1-1-2-2-211-1-1-1-10000−i3i311−i3−i3i3i300−i3i311−i3−i3i3i30000-22-220000000011-1-111-1-100000000i3−i3i3−i3000000
χ2922222222-2-22-1-2-222-1-12-12222-1-1-1-1-1-211-1-1-1-2-2-211-1-1-1-10000i3−i311i3i3−i3−i300i3−i311i3i3−i3−i300002-22-200000000-1-111-1-11100000000i3−i3i3−i3000000
χ3022222222-2-22-1-2-222-1-12-12222-1-1-1-1-1-211-1-1-1-2-2-211-1-1-1-10000i3−i311i3i3−i3−i300i3−i311i3i3−i3−i30000-22-220000000011-1-111-1-100000000−i3i3−i3i3000000
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000002200000000-2-2000000002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000002200000000-2-200000000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000
χ332222-2-2-2-2222-1-2-222-1-12-1-2-2-2-21111-12-1-1-1-1-12-2-21111110000−i3i3-1-1−i3−i3i3i300i3−i311i3i3−i3−i300002i−2i−2i2i00000000−i−iiiii−i−i000000003−3−33000000
χ342222-2-2-2-2222-1-2-222-1-12-1-2-2-2-21111-12-1-1-1-1-12-2-21111110000−i3i3-1-1−i3−i3i3i300i3−i311i3i3−i3−i30000−2i2i2i−2i00000000ii−i−i−i−iii00000000−333−3000000
χ352222-2-2-2-2222-1-2-222-1-12-1-2-2-2-21111-12-1-1-1-1-12-2-21111110000i3−i3-1-1i3i3−i3−i300−i3i311−i3−i3i3i300002i−2i−2i2i00000000−i−iiiii−i−i00000000−333−3000000
χ362222-2-2-2-2222-1-2-222-1-12-1-2-2-2-21111-12-1-1-1-1-12-2-21111110000i3−i3-1-1i3i3−i3−i300−i3i311−i3−i3i3i30000−2i2i2i−2i00000000ii−i−i−i−iii000000003−3−33000000
χ372222-2-2-2-2-2-22-12222-1-12-1-2-2-2-21111-1-211-1-1-1-222-1-111112-222-1-111-1-1-1-1-2-211-1-1111100002i2i−2i−2i00000000−i−i−i−iiiii2i−2i000000−i−iii000000
χ382222-2-2-2-2-2-22-12222-1-12-1-2-2-2-21111-1-211-1-1-1-222-1-111112-222-1-111-1-1-1-1-2-211-1-111110000−2i−2i2i2i00000000iiii−i−i−i−i−2i2i000000ii−i−i000000
χ392222-2-2-2-2-2-22-12222-1-12-1-2-2-2-21111-1-211-1-1-1-222-1-11111-22-2-21111111122-1-1-1-1-1-1-1-100002i2i−2i−2i00000000−i−i−i−iiiii−2i2i000000ii−i−i000000
χ402222-2-2-2-2-2-22-12222-1-12-1-2-2-2-21111-1-211-1-1-1-222-1-11111-22-2-21111111122-1-1-1-1-1-1-1-10000−2i−2i2i2i00000000iiii−i−i−i−i2i−2i000000−i−iii000000
χ412222-2-2-2-2-2-2-1222-1-122-121111-2-2-2-2-11-2-2-1-1-11-1-12211112-2-1-12211-1-1-1-111-2-2-1-111112i2i−2i−2i0000−i−i−i−iiiii00000000002i−2i−i−iii0000000000
χ422222-2-2-2-2-2-2-1222-1-122-121111-2-2-2-2-11-2-2-1-1-11-1-12211112-2-1-12211-1-1-1-111-2-2-1-11111−2i−2i2i2i0000iiii−i−i−i−i0000000000−2i2iii−i−i0000000000
χ432222-2-2-2-2-2-2-1222-1-122-121111-2-2-2-2-11-2-2-1-1-11-1-1221111-2211-2-2111111-1-122-1-1-1-1-1-12i2i−2i−2i0000−i−i−i−iiiii0000000000−2i2iii−i−i0000000000
χ442222-2-2-2-2-2-2-1222-1-122-121111-2-2-2-2-11-2-2-1-1-11-1-1221111-2211-2-2111111-1-122-1-1-1-1-1-1−2i−2i2i2i0000iiii−i−i−i−i00000000002i−2i−i−iii0000000000
χ4522-2-222-2-22-222-22-2-2-2-22222-2-222-2-2222-2-2-22-22-22-222-2-20000002-2000000002-200002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i00000000000000000000000000
χ4622-2-222-2-22-222-22-2-2-2-22222-2-222-2-2222-2-2-22-22-22-222-2-20000002-2000000002-20000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000
χ4722-2-222-2-22-2-12-2211-2-2-12-1-11122-2-2-1-12-211-11-112-2-1-11100−i3i300-11−i3i3−i3i3−i3i300-11−i3i3−i3i32i−2i2i−2i0000−i−iii−i−iii0000000000003−33−30000000000
χ4822-2-222-2-22-2-12-2211-2-2-12-1-11122-2-2-1-12-211-11-112-2-1-11100−i3i300-11−i3i3−i3i3−i3i300-11−i3i3−i3i3−2i2i−2i2i0000ii−i−iii−i−i000000000000−33−330000000000
χ4922-2-222-2-22-2-12-2211-2-2-12-1-11122-2-2-1-12-211-11-112-2-1-11100i3−i300-11i3−i3i3−i3i3−i300-11i3−i3i3−i32i−2i2i−2i0000−i−iii−i−iii000000000000−33−330000000000
χ5022-2-222-2-22-2-12-2211-2-2-12-1-11122-2-2-1-12-211-11-112-2-1-11100i3−i300-11i3−i3i3−i3i3−i300-11i3−i3i3−i3−2i2i−2i2i0000ii−i−iii−i−i0000000000003−33−30000000000
χ5122-2-222-2-2-22222-2-2-2-2-22222-2-222-2-22-2-22-2-222-22-2222-2-2000000-2200000000-2200000000000000000000000000000000000000002i−2i2i−2i00
χ5222-2-222-2-2-22222-2-2-2-2-22222-2-222-2-22-2-22-2-222-22-2222-2-2000000-2200000000-220000000000000000000000000000000000000000−2i2i−2i2i00
χ5322-2-2-2-2222-2222-2-2-2-2-222-2-222-2-222222-2-2-22-2-22-22-2-2220000002-200000000-2200000000000000000000000000000000000000002i−2i−2i2i00
χ5422-2-2-2-2222-2222-2-2-2-2-222-2-222-2-222222-2-2-22-2-22-22-2-2220000002-200000000-220000000000000000000000000000000000000000−2i2i2i−2i00
χ5522-2-2-2-222-2222-22-2-2-2-222-2-222-2-2222-2-22-2-2222-22-2-2-222000000-22000000002-200002-2-22000022-2-2-2-22200000000000000000000000000
χ5622-2-2-2-222-2222-22-2-2-2-222-2-222-2-2222-2-22-2-2222-22-2-2-222000000-22000000002-20000-222-20000-2-22222-2-200000000000000000000000000
χ5722-2-2-2-222-22-12-2211-2-2-1211-1-1-2-222-11-2211-1-1-112-211-1-100−i3i3001-1−i3i3−i3i3i3−i300-11i3−i3i3−i32-2-220000-1-11111-1-1000000000000−i3i3i3−i30000000000
χ5822-2-2-2-222-22-12-2211-2-2-1211-1-1-2-222-11-2211-1-1-112-211-1-100−i3i3001-1−i3i3−i3i3i3−i300-11i3−i3i3−i3-222-2000011-1-1-1-111000000000000i3−i3−i3i30000000000
χ5922-2-2-2-222-22-12-2211-2-2-1211-1-1-2-222-11-2211-1-1-112-211-1-100i3−i3001-1i3−i3i3−i3−i3i300-11−i3i3−i3i32-2-220000-1-11111-1-1000000000000i3−i3−i3i30000000000
χ6022-2-2-2-222-22-12-2211-2-2-1211-1-1-2-222-11-2211-1-1-112-211-1-100i3−i3001-1i3−i3i3−i3−i3i300-11−i3i3−i3i3-222-2000011-1-1-1-111000000000000−i3i3i3−i30000000000
χ614444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-2111144-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000000
χ624444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-21111-4-4222211-1-1-1-1222211-1-1-1-1000000000000000000000000000000000000000000
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χ6444444444-4-4-2-2-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-212221112222211110000−2i32i3-1-1i3i3−i3−i300−2i32i3-1-1i3i3−i3−i3000000000000000000000000000000000000000000
χ6544444444-4-4-2-2-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2122211122222111100002i3−2i3-1-1−i3−i3i3i3002i3−2i3-1-1−i3−i3i3i3000000000000000000000000000000000000000000
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χ674444-4-4-4-444-2-2-4-4-2-2-2-2-2-2222222221-2-2-2111-22222-1-1-1-10000−2i32i311i3i3−i3−i3002i3−2i3-1-1−i3−i3i3i3000000000000000000000000000000000000000000
χ684444-4-4-4-444-2-2-4-4-2-2-2-2-2-2222222221-2-2-2111-22222-1-1-1-100002i3−2i311−i3−i3i3i300−2i32i3-1-1i3i3−i3−i3000000000000000000000000000000000000000000
χ694444-4-4-4-4-4-4-2-244-2-2-2-2-2-22222222212221112-2-2-2-2-1-1-1-14-4-2-2-2-2-1-11111222211-1-1-1-1000000000000000000000000000000000000000000
χ704444-4-4-4-4-4-4-2-244-2-2-2-2-2-22222222212221112-2-2-2-2-1-1-1-1-442222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000000
χ7144-4-444-4-44-44-2-44-4-4224-244-4-4-2-222-24-2222-2-44-4-22-2-222000000-2200000000-220000000000000000000000000000000000000000000000
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χ7344-4-444-4-44-4-2-2-442222-2-2-2-222-2-2221-2-22-1-112-22-2211-1-1002i3−2i3001-1−i3i3−i3i32i3−2i3001-1−i3i3−i3i3000000000000000000000000000000000000000000
χ7444-4-444-4-4-444-24-4-4-4224-244-4-4-2-222-2-42-222-24-442-2-2-2220000002-2000000002-20000000000000000000000000000000000000000000000
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χ7644-4-444-4-4-44-2-24-42222-2-2-2-222-2-222122-2-1-11-22-22-211-1-1000000-113-3-330000-113-3-33000000000000000000000000000000000000000000
χ7744-4-444-4-4-44-2-24-42222-2-2-2-222-2-222122-2-1-11-22-22-211-1-1000000-11-333-30000-11-333-3000000000000000000000000000000000000000000
χ7844-4-4-4-4444-44-24-4-4-4224-2-4-44422-2-2-24-2222-2-4-442-222-2-2000000-22000000002-20000000000000000000000000000000000000000000000
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χ8044-4-4-4-4444-4-2-24-42222-2-222-2-222-2-21-2-22-1-1122-22-2-1-1110000001-13-3-330000-11-333-3000000000000000000000000000000000000000000
χ8144-4-4-4-4444-4-2-24-42222-2-222-2-222-2-21-2-22-1-1122-22-2-1-1110000001-1-333-30000-113-3-33000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.