Finite Group Databasebeta

← Group #11790341

Character table — Group #11790341

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order1222222233444466666666666666366666661212121212121212444444121212121212121212121212121212121212121244444488881212121212121212242424242424242444121212121212121244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1
χ91-1111-1-1-1111-1-1111-1-1-1-1-111-111-1-1111-1-1-11-1111-1-1-1-1111-1-1i−iii−i−iii−i−i11-1-1iiii−i−i−i−i1-1ii−i−i11-1-11111-1-1-1-11111-1-1-1-1i−iii−i−iii−i−iii−i−i11-1-1
χ101-1111-1-1-1111-1-1111-1-1-1-1-111-111-1-1111-1-1-11-1111-1-1-1-1111-1-1i−iii−i−iii−i−i11-1-1iiii−i−i−i−i1-1−i−iii-1-1111111-1-1-1-1-1-1-1-11111i−i−i−iiiii−i−i−i−iii-1-111
χ111-1111-1-1-1111-1-1111-1-1-1-1-111-111-1-1111-1-1-11-1111-1-1-1-1111-1-1−ii−i−iii−i−iii11-1-1−i−i−i−iiiii1-1ii−i−i-1-1111111-1-1-1-1-1-1-1-11111−iiii−i−i−i−iiiii−i−i-1-111
χ121-1111-1-1-1111-1-1111-1-1-1-1-111-111-1-1111-1-1-11-1111-1-1-1-1111-1-1−ii−i−iii−i−iii11-1-1−i−i−i−iiiii1-1−i−iii11-1-11111-1-1-1-11111-1-1-1-1−ii−i−iii−i−iii−i−iii11-1-1
χ131-1111-1-1-1111-1-1111-1-1-1-1-111-111-1-1111-1-1-11-1111-1-1-1-11-1-111i−iii−i−iii−i−i11-1-1iiii−i−i−i−i-11ii−i−i11-1-1-1-1-1-111111111-1-1-1-1−iiii−i−i−i−iii−i−iii-1-111
χ141-1111-1-1-1111-1-1111-1-1-1-1-111-111-1-1111-1-1-11-1111-1-1-1-11-1-111i−iii−i−iii−i−i11-1-1iiii−i−i−i−i-11−i−iii-1-111-1-1-1-11111-1-1-1-11111−ii−i−iii−i−iiiii−i−i11-1-1
χ151-1111-1-1-1111-1-1111-1-1-1-1-111-111-1-1111-1-1-11-1111-1-1-1-11-1-111−ii−i−iii−i−iii11-1-1−i−i−i−iiiii-11ii−i−i-1-111-1-1-1-11111-1-1-1-11111i−iii−i−iii−i−i−i−iii11-1-1
χ161-1111-1-1-1111-1-1111-1-1-1-1-111-111-1-1111-1-1-11-1111-1-1-1-11-1-111−ii−i−iii−i−iii11-1-1−i−i−i−iiiii-11−i−iii11-1-1-1-1-1-111111111-1-1-1-1i−i−i−iiiii−i−iii−i−i-1-111
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-222220000000000-2-2-2-200000000-2-20000000022-2-222-2-200000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000-2-2-2-2000000002200000000-2-222-2-22200000000000000000000000000
χ19222222222-122222222-1-1-12-12-1-12-1-1-1-1-1-1-1-1-12-1-122-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200000000-1-1-1-1-1-1-1-100000000220000-1-1-1-100000000
χ20222222222-122222222-1-1-12-12-1-12-1-1-1-1-1-1-1-1-12-1-122-1-122222-2-2-2-2-2-21111-1-1-1-1111111112200000000-1-1-1-1-1-1-1-100000000-2-20000111100000000
χ21222222222-122222222-1-1-12-12-1-12-1-1-1-1-1-1-1-1-12-1-122-1-12-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000001111111100000000-2-20000111100000000
χ22222222222-122222222-1-1-12-12-1-12-1-1-1-1-1-1-1-1-12-1-122-1-12-2-2-2-2-2-2-2-2-2-21111-1-1-1-111111111-2-2000000001111111100000000220000-1-1-1-100000000
χ23222222222-1-2-2-2-22222-1-1-12-12-1-12-1-1-1-1-1-1-1-1-1-211-2-211-22222000000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i3-2-200000000-1-111-1-11100000000000000−i3i3−i3i300000000
χ24222222222-1-2-2-2-22222-1-1-12-12-1-12-1-1-1-1-1-1-1-1-1-211-2-211-22222000000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i3-2-200000000-1-111-1-11100000000000000i3−i3i3−i300000000
χ25222222222-1-2-2-2-22222-1-1-12-12-1-12-1-1-1-1-1-1-1-1-1-211-2-211-2-2-2-2-2000000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i3220000000011-1-111-1-100000000000000i3−i3i3−i300000000
χ26222222222-1-2-2-2-22222-1-1-12-12-1-12-1-1-1-1-1-1-1-1-1-211-2-211-2-2-2-2-2000000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i3220000000011-1-111-1-100000000000000−i3i3−i3i300000000
χ2722222222-122222-1-1-1-1222-12-122-12-1-1-1-1-1-1-1-1-122-1-122-1000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002222222200000000-1-1-1-1-1-1-1-100-1-1-1-1000000000000
χ2822222222-122222-1-1-1-1222-12-122-12-1-1-1-1-1-1-1-1-122-1-122-1000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-2-2-20000000011111111001111000000000000
χ2922222222-122222-1-1-1-1222-12-122-12-1-1-1-1-1-1-1-1-122-1-122-10000-2-21111-2-2-2-2-1-1-1-111111111002222-2-2-2-2000000001111111100-1-1-1-1000000000000
χ3022222222-122222-1-1-1-1222-12-122-12-1-1-1-1-1-1-1-1-122-1-122-10000-2-21111-2-2-2-2-1-1-1-11111111100-2-2-2-2222200000000-1-1-1-1-1-1-1-1001111000000000000
χ31222-2-2-2-222222-2-2-2-22222-222-2-2-2-2-22-2-222-22-222-22-22-2-2000000000000002-22-2000000000000000000000000000000000000000000002-22-20000
χ32222-2-2-2-222222-2-2-2-22222-222-2-2-2-2-22-2-222-22-222-22-22-2-2000000000000002-22-200000000000000000000000000000000000000000000-22-220000
χ33222-2-2-2-2222-2-222-2-22222-222-2-2-2-2-22-2-222-22-2-2-22-22-22200000000000000-22-2200000000002i−2i2i−2i00000000000000000000002i−2i2i−2i000000000000
χ34222-2-2-2-2222-2-222-2-22222-222-2-2-2-2-22-2-222-22-2-2-22-22-22200000000000000-22-220000000000−2i2i−2i2i0000000000000000000000−2i2i−2i2i000000000000
χ35222-2-2-2-22-12-2-22211-1-122-2-121-2-21-2-111-1-11-111-221-1-22-10000003−33−300001-11-13−33−33−33−3002i−2i2i−2i000000000000−i3−i3i3i3−i3−i3i3i300−ii−ii000000000000
χ36222-2-2-2-22-12-2-22211-1-122-2-121-2-21-2-111-1-11-111-221-1-22-10000003−33−300001-11-13−33−33−33−300−2i2i−2i2i000000000000i3i3−i3−i3i3i3−i3−i300i−ii−i000000000000
χ37222-2-2-2-22-12-2-22211-1-122-2-121-2-21-2-111-1-11-111-221-1-22-1000000−33−3300001-11-1−33−33−33−33002i−2i2i−2i000000000000i3i3−i3−i3i3i3−i3−i300−ii−ii000000000000
χ38222-2-2-2-22-12-2-22211-1-122-2-121-2-21-2-111-1-11-111-221-1-22-1000000−33−3300001-11-1−33−33−33−3300−2i2i−2i2i000000000000−i3−i3i3i3−i3−i3i3i300i−ii−i000000000000
χ3922-22-2-22-22200002-22-22-2-2-2-222-2-2222-22-2-2-22000000002-22-20000000000000000000000000000−i2i2−i2i22-2002-200−i2i2−i2i2−i2i2−i2i200000000000000−i2i2−i2i2
χ4022-22-2-22-22200002-22-22-2-2-2-222-2-2222-22-2-2-22000000002-22-20000000000000000000000000000i2−i2i2−i22-2002-200i2−i2i2−i2i2−i2i2−i200000000000000i2−i2i2−i2
χ4122-22-2-22-22200002-22-22-2-2-2-222-2-2222-22-2-2-2200000000-22-220000000000000000000000000000−i2i2−i2i2-2200-2200−i2i2−i2i2−i2i2−i2i200000000000000i2−i2i2−i2
χ4222-22-2-22-22200002-22-22-2-2-2-222-2-2222-22-2-2-2200000000-22-220000000000000000000000000000i2−i2i2−i2-2200-2200i2−i2i2−i2i2−i2i2−i200000000000000−i2i2−i2i2
χ432-2222-2-2-222-222-222-2-2-2-2-222-222-2-2222-2-2-22-2-2-2-22222-222-2-20000000000-2-22200000000-220000000022-2-2-2-22200000000000000000000000000
χ442-2222-2-2-222-222-222-2-2-2-2-222-222-2-2222-2-2-22-2-2-2-22222-2-2-2220000000000-2-222000000002-200000000-2-22222-2-200000000000000000000000000
χ452-2222-2-2-22-12-2-2222-2-21112-1-2-1-1-21-1-1-1111-112-1-1-2-211222-2-22i−2i2i2i−2i−2i−i−iii-1-111−i−i−i−iiiii2-200000000-1-1-1-11111000000002i−2i0000−i−iii00000000
χ462-2222-2-2-22-12-2-2222-2-21112-1-2-1-1-21-1-1-1111-112-1-1-2-211222-2-2−2i2i−2i−2i2i2iii−i−i-1-111iiii−i−i−i−i2-200000000-1-1-1-1111100000000−2i2i0000ii−i−i00000000
χ472-2222-2-2-22-12-2-2222-2-21112-1-2-1-1-21-1-1-1111-112-1-1-2-2112-2-2222i−2i2i2i−2i−2i−i−iii-1-111−i−i−i−iiiii-22000000001111-1-1-1-100000000−2i2i0000ii−i−i00000000
χ482-2222-2-2-22-12-2-2222-2-21112-1-2-1-1-21-1-1-1111-112-1-1-2-2112-2-222−2i2i−2i−2i2i2iii−i−i-1-111iiii−i−i−i−i-22000000001111-1-1-1-1000000002i−2i0000−i−iii00000000
χ492-2222-2-2-22-1-222-222-2-21112-1-2-1-1-21-1-1-1111-11-21122-1-1-222-2-20000003−3−3311-1-133−3−3−3−333-2200000000-1-11111-1-1000000000000003−3−3300000000
χ502-2222-2-2-22-1-222-222-2-21112-1-2-1-1-21-1-1-1111-11-21122-1-1-222-2-2000000−333−311-1-1−3−33333−3−3-2200000000-1-11111-1-100000000000000−333−300000000
χ512-2222-2-2-22-1-222-222-2-21112-1-2-1-1-21-1-1-1111-11-21122-1-1-2-2-2220000003−3−3311-1-133−3−3−3−3332-20000000011-1-1-1-11100000000000000−333−300000000
χ522-2222-2-2-22-1-222-222-2-21112-1-2-1-1-21-1-1-1111-11-21122-1-1-2-2-222000000−333−311-1-1−3−33333−3−32-20000000011-1-1-1-111000000000000003−3−3300000000
χ532-2222-2-2-2-122-2-22-1-111-2-2-2-121221-2-1-1-1111-11-12211-2-2-100002i−2i−i−iii2i2i−2i−2i-1-111−i−i−i−iiiii002i2i−2i−2i22-2-200000000-1-1-1-1111100−i−iii000000000000
χ542-2222-2-2-2-122-2-22-1-111-2-2-2-121221-2-1-1-1111-11-12211-2-2-100002i−2i−i−iii2i2i−2i−2i-1-111−i−i−i−iiiii00−2i−2i2i2i-2-222000000001111-1-1-1-100ii−i−i000000000000
χ552-2222-2-2-2-122-2-22-1-111-2-2-2-121221-2-1-1-1111-11-12211-2-2-10000−2i2iii−i−i−2i−2i2i2i-1-111iiii−i−i−i−i002i2i−2i−2i-2-222000000001111-1-1-1-100−i−iii000000000000
χ562-2222-2-2-2-122-2-22-1-111-2-2-2-121221-2-1-1-1111-11-12211-2-2-10000−2i2iii−i−i−2i−2i2i2i-1-111iiii−i−i−i−i00−2i−2i2i2i22-2-200000000-1-1-1-1111100ii−i−i000000000000
χ572-22-2-222-2222-22-2-2-2-2-2-2-22222-2-2222-2-2-2-222222-2-22-22-2000000000000002-2-22000000000000000000000000000000000000000000002i−2i−2i2i0000
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χ79444-4-4-4-44-2-2-4-44422-2-2-2-22-2-2222221-1-111-11-122-22-22-2-200000023−2323−230000-11-11−33−33−33−3300000000000000000000000000000000000000000000
χ80444-4-4-4-44-2-2-4-44422-2-2-2-22-2-2222221-1-111-11-122-22-22-2-2000000−2323−23230000-11-113−33−33−33−300000000000000000000000000000000000000000000
χ8144-44-4-44-44-200004-44-4-222-424-22-4-2-2-22-2222-2000000004-44-400000000000000000000000000000000-2200-220000000000000000000000000000
χ8244-44-4-44-44-200004-44-4-222-424-22-4-2-2-22-2222-200000000-44-44000000000000000000000000000000002-2002-20000000000000000000000000000
χ8344-44-4-44-4-240000-22-224-4-42-4-24-424-2-22-2222-20000000000000000000000000000000000000000−2i22i2−2i22i200000000i2−i2i2−i2i2−i2i2−i2000000000000000000
χ8444-44-4-44-4-240000-22-224-4-42-4-24-424-2-22-2222-200000000000000000000000000000000000000002i2−2i22i2−2i200000000−i2i2−i2i2−i2i2−i2i2000000000000000000
χ8544-4-444-4-4440000-444-44-44-4-4-4-444-44-444-44-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8644-4-444-4-44-20000-444-4-22-2-42-42-242-22-2-22-2220000000000000000000000000000000000000000000000−2i32i300−2i32i300000000000000000000000000
χ8744-4-444-4-44-20000-444-4-22-2-42-42-242-22-2-22-22200000000000000000000000000000000000000000000002i3−2i3002i3−2i300000000000000000000000000
χ8844-4-444-4-4-2400002-2-224-442-42-44-2-4-22-2-22-22200000000000000000000000000000000000000000000000000006−6−666−6−66000000000000000000
χ8944-4-444-4-4-2400002-2-224-442-42-44-2-4-22-2-22-2220000000000000000000000000000000000000000000000000000−666−6−666−6000000000000000000
χ904-4444-4-4-4-24-444-4-2-222-4-4-4-242442-4-2-2-2222-222-4-4-2-24420000000000000022-2-20000000000000000000000000000000000000000000000000000
χ914-4444-4-4-4-2-24-4-44-2-222222-2-22-2-222111-1-1-11-1-2-2-22222-200004i−4i−2i−2i2i2i−2i−2i2i2i11-1-1iiii−i−i−i−i00000000000000000000000000000000000000000000
χ924-4444-4-4-4-2-24-4-44-2-222222-2-22-2-222111-1-1-11-1-2-2-22222-20000−4i4i2i2i−2i−2i2i2i−2i−2i11-1-1−i−i−i−iiiii00000000000000000000000000000000000000000000
χ934-4444-4-4-4-2-2-444-4-2-222222-2-22-2-222111-1-1-11-1222-2-2-2-22000000000023−23−2323-1-111−3−33333−3−300000000000000000000000000000000000000000000
χ944-4444-4-4-4-2-2-444-4-2-222222-2-22-2-222111-1-1-11-1222-2-2-2-220000000000−232323−23-1-11133−3−3−3−33300000000000000000000000000000000000000000000
χ954-44-4-444-44-24-44-4-4-4-4-422-24-24224-2-22222-2-2-24-22-442-2-400000000000000-222-20000000000000000000000000000000000000000000000000000
χ964-44-4-444-44-2-44-44-4-4-4-422-24-24224-2-22222-2-2-2-42-24-4-224000000000000002-2-220000000000000000000000000000000000000000000000000000
χ974-44-4-444-4-244-44-42222-4-44-24-2-4-4-24-22222-2-2-2-24-42-2-44200000000000000-222-20000000000000000000000000000000000000000000000000000
χ984-44-4-444-4-2-24-44-4222222-2-2-2-222-2-21-1-1-1-1111-2-222-22-22000000000000001-1-113-3-33-333-300000000000000000000000000000000000000000000
χ994-44-4-444-4-2-24-44-4222222-2-2-2-222-2-21-1-1-1-1111-2-222-22-22000000000000001-1-11-333-33-3-3300000000000000000000000000000000000000000000
χ1004-44-4-444-4-2-2-44-44222222-2-2-2-222-2-21-1-1-1-111122-2-22-22-2000000−2i32i32i3−2i30000-111-1i3−i3i3−i3−i3i3−i3i300000000000000000000000000000000000000000000
χ1014-44-4-444-4-2-2-44-44222222-2-2-2-222-2-21-1-1-1-111122-2-22-22-20000002i3−2i3−2i32i30000-111-1−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000000000000000
χ1024-4-44-44-444-200004-4-442-2-2-42-4-2242-2-222-2-222000000004-4-4400000000000000000000000000000000-22002-20000000000000000000000000000
χ1034-4-44-44-444-200004-4-442-2-2-42-4-2242-2-222-2-22200000000-444-4000000000000000000000000000000002-200-220000000000000000000000000000
χ1044-4-44-44-44-240000-222-2-4442-424-4-2-4-2-222-2-2220000000000000000000000000000000000000000−2i22i22i2−2i200000000i2−i2i2−i2−i2i2−i2i2000000000000000000
χ1054-4-44-44-44-240000-222-2-4442-424-4-2-4-2-222-2-22200000000000000000000000000000000000000002i2−2i2−2i22i200000000−i2i2−i2i2i2−i2i2−i2000000000000000000
χ1064-4-4-44-444440000-44-44-44-4-4-44-44-444-44-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1074-4-4-44-4444-20000-44-442-22-4242-2-4-2-22-22-222-20000000000000000000000000000000000000000000000−2i32i3002i3−2i300000000000000000000000000
χ1084-4-4-44-4444-20000-44-442-22-4242-2-4-2-22-22-222-200000000000000000000000000000000000000000000002i3−2i300−2i32i300000000000000000000000000
χ1094-4-4-44-444-2400002-22-2-44-42-4-2-4424-22-22-222-200000000000000000000000000000000000000000000000000006−6−66−666−6000000000000000000
χ1104-4-4-44-444-2400002-22-2-44-42-4-2-4424-22-22-222-20000000000000000000000000000000000000000000000000000−666−66−6−66000000000000000000
χ11188-88-8-88-8-4-40000-44-44-44444-4-444-422-22-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-888-8-8-4-400004-4-44-44-44444-4-442-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-88-88-4-40000-444-44-4-4444-44-4422-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8-88-888-4-400004-44-44-4444-44-44-42-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000

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