Finite Group Databasebeta

← Group #11790212

Character table — Group #11790212

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order1222222233444466666666666666366666661212121212121212441212121212121212121212121212121212121212444488881212121212121212242424242424242444441212121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1
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
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ91-1-111-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1i−ii−iii−i−iii−i−iii−i−iiiii−i−i−i−ii−ii−iii−i−iii−i−i11-1-11-1
χ101-1-111-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1i−ii−i−i−iiiii−i−iii−i−i−i−i−i−iiiiii−i−ii−i−iiiii−i−i-1-111-11
χ111-1-111-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1−ii−iiii−i−i−i−iii−i−iiiiiii−i−i−i−i−iii−iii−i−i−i−iii-1-111-11
χ121-1-111-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−i−iii−i−i−i−iiiii−ii−ii−i−iii−i−iii11-1-11-1
χ131-1-111-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111i−ii−iii−i−iii−i−iii−i−iiiii−i−i−i−i−ii−ii−i−iii−i−iii11-1-1-11
χ141-1-111-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111i−ii−i−i−iiiii−i−iii−i−i−i−i−i−iiiii−iii−iii−i−i−i−iii-1-1111-1
χ151-1-111-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111−ii−iiii−i−i−i−iii−i−iiiiiii−i−i−i−ii−i−ii−i−iiiii−i−i-1-1111-1
χ161-1-111-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111−ii−ii−i−iii−i−iii−i−iii−i−i−i−iiiiii−ii−iii−i−iii−i−i11-1-1-11
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000022-2-200002222-2-2-2-200000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000-2-2220000-2-2-2-2222200000000000000000000000000
χ19222222222-122222-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-122-1-12-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000022000000-1-1-1-1000000
χ20222222222-122222-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-122-1-12-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20000001111000000
χ21222222222-122222-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-122-1-12-1-12-2-2-2-211-2-211-1-1-1-11111111122220000-1-1-1-1-1-1-1-100000000-2-20000001111000000
χ22222222222-122222-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-122-1-12-1-12-2-2-2-211-2-211-1-1-1-111111111-2-2-2-20000111111110000000022000000-1-1-1-1000000
χ23222222222-1-2-2-2-22-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-1-2-211-211-20000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i322-2-20000-1-1-1-111110000000000000000−i3i3−i3i3000000
χ24222222222-1-2-2-2-22-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-1-2-211-211-20000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i3-2-22200001111-1-1-1-10000000000000000i3−i3i3−i3000000
χ25222222222-1-2-2-2-22-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-1-2-211-211-20000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i322-2-20000-1-1-1-111110000000000000000i3−i3i3−i3000000
χ26222222222-1-2-2-2-22-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-1-2-211-211-20000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i3-2-22200001111-1-1-1-10000000000000000−i3i3−i3i3000000
χ2722222222-122222-12-1-1-122-12-122-12-1-1-1-1-1-1-1-1-1-122-122-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10022-1-1-1-10000000000
χ2822222222-122222-12-1-1-122-12-122-12-1-1-1-1-1-1-1-1-1-122-122-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100-2-211110000000000
χ2922222222-122222-12-1-1-122-12-122-12-1-1-1-1-1-1-1-1-1-122-122-1-2-211-2-211-2-2-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-100-2-211110000000000
χ3022222222-122222-12-1-1-122-12-122-12-1-1-1-1-1-1-1-1-1-122-122-1-2-211-2-211-2-2-1-1-1-1111111110000-2-2-2-200000000111111110022-1-1-1-10000000000
χ312222-2-2-2-2222-22-2-2-222-22222-2-2-2-2-22-222-2-22-22-22-2-22-2200000000002-22-20000000000002-22-20000000022-2-222-2-2000000000000000000
χ322222-2-2-2-2222-22-2-2-222-22222-2-2-2-2-22-222-2-22-22-22-2-22-2200000000002-22-2000000000000-22-2200000000-2-222-2-222000000000000000000
χ332222-2-2-2-222-22-22-2-222-22222-2-2-2-2-22-222-2-22-2-22-222-22-20000000000-22-22000000000000000000000000000000000000000000002-22-200
χ342222-2-2-2-222-22-22-2-222-22222-2-2-2-2-22-222-2-22-2-22-222-22-20000000000-22-2200000000000000000000000000000000000000000000-22-2200
χ352222-2-2-2-2-122-22-21-2-1-1122-121-2-21-2-11-1-111-11-112-212-2-1003−3003−300-11-113−33−33−33−300002-22-200000000-1-111-1-11100003−33−30000000000
χ362222-2-2-2-2-122-22-21-2-1-1122-121-2-21-2-11-1-111-11-112-212-2-1003−3003−300-11-113−33−33−33−30000-22-220000000011-1-111-1-10000−33−330000000000
χ372222-2-2-2-2-122-22-21-2-1-1122-121-2-21-2-11-1-111-11-112-212-2-100−3300−3300-11-11−33−33−33−3300002-22-200000000-1-111-1-1110000−33−330000000000
χ382222-2-2-2-2-122-22-21-2-1-1122-121-2-21-2-11-1-111-11-112-212-2-100−3300−3300-11-11−33−33−33−330000-22-220000000011-1-111-1-100003−33−30000000000
χ392-2-222-2-2222-222-222-2-2-2-2-22222-2-2-222-2-2-2-222-2-2-2-222220000000000-2-222000000002i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ402-2-222-2-2222-222-222-2-2-2-2-22222-2-2-222-2-2-2-222-2-2-2-222220000000000-2-22200000000−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ412-2-222-2-222-12-2-222-1-2-2-2112-12-11-21-1-11111-1-122-1-1-211-22-222-1-1-2-211-1-111-1-1-1-111112i−2i2i−2i0000−i−iii−i−iii000000002i−2i000000−i−iii000000
χ422-2-222-2-222-12-2-222-1-2-2-2112-12-11-21-1-11111-1-122-1-1-211-22-222-1-1-2-211-1-111-1-1-1-11111−2i2i−2i2i0000ii−i−iii−i−i00000000−2i2i000000ii−i−i000000
χ432-2-222-2-222-12-2-222-1-2-2-2112-12-11-21-1-11111-1-122-1-1-211-2-22-2-21122-1-1-1-1111111-1-1-1-12i−2i2i−2i0000−i−iii−i−iii00000000−2i2i000000ii−i−i000000
χ442-2-222-2-222-12-2-222-1-2-2-2112-12-11-21-1-11111-1-122-1-1-211-2-22-2-21122-1-1-1-1111111-1-1-1-1−2i2i−2i2i0000ii−i−iii−i−i000000002i−2i000000−i−iii000000
χ452-2-222-2-222-1-222-22-1-2-2-2112-12-11-21-1-11111-1-1-2-2112-1-120000−i3i300i3−i311-1-1−i3−i3i3i3i3i3−i3−i32i−2i−2i2i0000−i−iiiii−i−i00000000000000003−3−33000000
χ462-2-222-2-222-1-222-22-1-2-2-2112-12-11-21-1-11111-1-1-2-2112-1-120000−i3i300i3−i311-1-1−i3−i3i3i3i3i3−i3−i3−2i2i2i−2i0000ii−i−i−i−iii0000000000000000−333−3000000
χ472-2-222-2-222-1-222-22-1-2-2-2112-12-11-21-1-11111-1-1-2-2112-1-120000i3−i300−i3i311-1-1i3i3−i3−i3−i3−i3i3i32i−2i−2i2i0000−i−iiiii−i−i0000000000000000−333−3000000
χ482-2-222-2-222-1-222-22-1-2-2-2112-12-11-21-1-11111-1-1-2-2112-1-120000i3−i300−i3i311-1-1i3i3−i3−i3−i3−i3i3i3−2i2i2i−2i0000ii−i−i−i−iii00000000000000003−3−33000000
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χ502-2-222-2-22-122-2-22-12111-2-2-12-12-21-2-1-11111-1-1-1-1221-2-212-2-1-12211-2-2-1-111-1-1-1-111110000−2i−2i2i2i00000000iiii−i−i−i−i00−2i2iii−i−i0000000000
χ512-2-222-2-22-122-2-22-12111-2-2-12-12-21-2-1-11111-1-1-1-1221-2-21-2211-2-2-1-122-1-1111111-1-1-1-100002i2i−2i−2i00000000−i−i−i−iiiii00−2i2iii−i−i0000000000
χ522-2-222-2-22-122-2-22-12111-2-2-12-12-21-2-1-11111-1-1-1-1221-2-21-2211-2-2-1-122-1-1111111-1-1-1-10000−2i−2i2i2i00000000iiii−i−i−i−i002i−2i−i−iii0000000000
χ532-2-22-222-22222-2-2-2-2-2-22-2-222-2-22222-2-2-2222-22-22-22-22-200000000002-2-220000000000002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000
χ542-2-22-222-22222-2-2-2-2-2-22-2-222-2-22222-2-2-2222-22-22-22-22-200000000002-2-22000000000000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000
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χ592-2-22-222-2-1222-2-21-211-1-2-2-121-22-12-1111-1-1-11-112-2-1-22100−33003−300-111-1−33−333−33−300002i−2i−2i2i00000000−i−iiiii−i−i0000−i3i3i3−i30000000000
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χ914-44-4-44-44-240000-242-2-2-442-42-442-4-2-22-2-22220000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000
χ924-44-4-44-44-240000-242-2-2-442-42-442-4-2-22-2-22220000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000
χ934-4-444-4-44-24-444-4-24222-4-4-24-24-42-4-2-22222-2-222-4-4-244-2000000000022-2-200000000000000000000000000000000000000000000000000
χ944-4-444-4-44-2-24-4-44-2-222222-2-2-2-222211-1-1-1-111-2-2-2-222224-4-2-2-2-2222211-1-11111-1-1-1-1000000000000000000000000000000000000000000
χ954-4-444-4-44-2-24-4-44-2-222222-2-2-2-222211-1-1-1-111-2-2-2-22222-442222-2-2-2-211-1-1-1-1-1-11111000000000000000000000000000000000000000000
χ964-4-444-4-44-2-2-444-4-2-222222-2-2-2-222211-1-1-1-1112222-2-2-2-20000−2i32i3002i3−2i3-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000000
χ974-4-444-4-44-2-2-444-4-2-222222-2-2-2-222211-1-1-1-1112222-2-2-2-200002i3−2i300−2i32i3-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000000
χ984-4-44-444-44-244-4-4-42-4-44224-2-42-24-2-2222-2-2-224-4-2242-2-40000000000-222-200000000000000000000000000000000000000000000000000
χ994-4-44-444-44-2-4-444-42-4-44224-2-42-24-2-2222-2-2-22-442-2-4-22400000000002-2-2200000000000000000000000000000000000000000000000000
χ1004-4-44-444-4-24-4-4442-422-2-4-4-242-44-24-2222-2-2-222-2-4424-4-200000000002-2-2200000000000000000000000000000000000000000000000000
χ1014-4-44-444-4-2-244-4-42222-222-2-222-2-2-21-1-1-1111-1-22-22-22-220023−2300−2323001-1-11−33−333−33−3000000000000000000000000000000000000000000
χ1024-4-44-444-4-2-244-4-42222-222-2-222-2-2-21-1-1-1111-1-22-22-22-2200−23230023−23001-1-113−33−3−33−33000000000000000000000000000000000000000000
χ1034-4-44-444-4-2-2-4-4442222-222-2-222-2-2-21-1-1-1111-12-22-22-22-20000000000-111-13i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000
χ1044-4-44-444-4-2-2-4-4442222-222-2-222-2-2-21-1-1-1111-12-22-22-22-20000000000-111-1−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ10588-8-888-8-8-4-4000044-44-4-4444-4-4-4442-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-8-888-4-40000-4-4-444-4444444-4-4222-2-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-88-8-4-40000444-444-444-4-44-4-42-2-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-88-88-4-40000-4-44-4-44-44444-44422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000

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