Finite Group Databasebeta

← Group #11789202

Character table — Group #11789202

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order1222222233444466666666666666366666661212121212121212444444121212121212121212121212121212121212121244444488881212121212121212242424242424242444121212121212121244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
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
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
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
χ911-11-11-1-1111-11-111-1-1-1-1-1-1111-11-111-1-1-1-111111-1-1-1-11ii−i−i1-111-1-111-1-111-1-11111-1-1-1-111-1-1i−i11-1-1ii−i−iii−i−i1111-1-1-1-1i−i11-1-1ii−i−iii−i−iii−i−i
χ1011-11-11-1-1111-11-111-1-1-1-1-1-1111-11-111-1-1-1-111111-1-1-1-11ii−i−i1-111-1-111-1-111-1-11111-1-1-1-1-1-111i−i-1-111ii−i−iii−i−i-1-1-1-11111i−i-1-111ii−i−i−i−iii−i−iii
χ1111-11-11-1-1111-11-111-1-1-1-1-1-1111-11-111-1-1-1-111111-1-1-1-11ii−i−i-11-1-111-1-11111-1-1-1-1-1-1111111-1-1i−i-1-111ii−i−iii−i−i-1-1-1-11111−ii11-1-1−i−iiiii−i−i−i−iii
χ1211-11-11-1-1111-11-111-1-1-1-1-1-1111-11-111-1-1-1-111111-1-1-1-11ii−i−i-11-1-111-1-11111-1-1-1-1-1-11111-1-111i−i11-1-1ii−i−iii−i−i1111-1-1-1-1−ii-1-111−i−iii−i−iiiii−i−i
χ1311-11-11-1-1111-11-111-1-1-1-1-1-1111-11-111-1-1-1-111111-1-1-1-11−i−iii1-111-1-111-1-111-1-11111-1-1-1-111-1-1−ii11-1-1−i−iii−i−iii1111-1-1-1-1−ii11-1-1−i−iii−i−iii−i−iii
χ1411-11-11-1-1111-11-111-1-1-1-1-1-1111-11-111-1-1-1-111111-1-1-1-11−i−iii1-111-1-111-1-111-1-11111-1-1-1-1-1-111−ii-1-111−i−iii−i−iii-1-1-1-11111−ii-1-111−i−iiiii−i−iii−i−i
χ1511-11-11-1-1111-11-111-1-1-1-1-1-1111-11-111-1-1-1-111111-1-1-1-11−i−iii-11-1-111-1-11111-1-1-1-1-1-1111111-1-1−ii-1-111−i−iii−i−iii-1-1-1-11111i−i11-1-1ii−i−i−i−iiiii−i−i
χ1611-11-11-1-1111-11-111-1-1-1-1-1-1111-11-111-1-1-1-111111-1-1-1-11−i−iii-11-1-111-1-11111-1-1-1-1-1-11111-1-111−ii11-1-1−i−iii−i−iii1111-1-1-1-1i−i-1-111ii−i−iii−i−i−i−iii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-222220000000000-2-2-2-2000000000000-2-200002222-2-2-2-200000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000220000-2-2-2-2222200000000000000000000000000
χ19222222222-122222-12222-1-12-1-1-12-1-1-1-1-1-1-1-1-12-1-122-1-12222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000220000-1-1-1-1-1-1-1-100000000220000-1-1-1-100000000
χ20222222222-122222-12222-1-12-1-1-12-1-1-1-1-1-1-1-1-12-1-122-1-122222-2-21111-2-2-2-2-1-1-1-1111111110000220000-1-1-1-1-1-1-1-100000000-2-20000111100000000
χ21222222222-122222-12222-1-12-1-1-12-1-1-1-1-1-1-1-1-12-1-122-1-12-2-2-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-200001111111100000000-2-20000111100000000
χ22222222222-122222-12222-1-12-1-1-12-1-1-1-1-1-1-1-1-12-1-122-1-12-2-2-2-2-2-21111-2-2-2-2-1-1-1-1111111110000-2-200001111111100000000220000-1-1-1-100000000
χ23222222222-1-2-2-2-22-12222-1-12-1-1-12-1-1-1-1-1-1-1-1-1-211-2-211-2222200−i3i3−i3i300001111−i3−i3i3i3−i3−i3i3i30000-2-20000-1-1-1-1111100000000000000−i3i3−i3i300000000
χ24222222222-1-2-2-2-22-12222-1-12-1-1-12-1-1-1-1-1-1-1-1-1-211-2-211-2222200i3−i3i3−i300001111i3i3−i3−i3i3i3−i3−i30000-2-20000-1-1-1-1111100000000000000i3−i3i3−i300000000
χ25222222222-1-2-2-2-22-12222-1-12-1-1-12-1-1-1-1-1-1-1-1-1-211-2-211-2-2-2-2-200−i3i3−i3i300001111−i3−i3i3i3−i3−i3i3i300002200001111-1-1-1-100000000000000i3−i3i3−i300000000
χ26222222222-1-2-2-2-22-12222-1-12-1-1-12-1-1-1-1-1-1-1-1-1-211-2-211-2-2-2-2-200i3−i3i3−i300001111i3i3−i3−i3i3i3−i3−i300002200001111-1-1-1-100000000000000−i3i3−i3i300000000
χ2722222222-122222-12-1-1-1-122-1222-12-1-1-1-1-1-1-1-1-122-1-122-10000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200222200000000-1-1-1-1-1-1-1-100-1-1-1-1000000000000
χ2822222222-122222-12-1-1-1-122-1222-12-1-1-1-1-1-1-1-1-122-1-122-10000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-2-2-20000000011111111001111000000000000
χ2922222222-122222-12-1-1-1-122-1222-12-1-1-1-1-1-1-1-1-122-1-122-10000-2-2-2-2-2-21111-1-1-1-111111111222200-2-2-2-2000000001111111100-1-1-1-1000000000000
χ3022222222-122222-12-1-1-1-122-1222-12-1-1-1-1-1-1-1-1-122-1-122-10000-2-2-2-2-2-21111-1-1-1-111111111-2-2-2-200222200000000-1-1-1-1-1-1-1-1001111000000000000
χ31222-22-2-2-22200002222-2-22-2-2-2-22-2-22222-2-2-2-2000000002-22-200000000000000000000000000002−22−22-22-2000022−2−222−2−2000000000000002−22−2
χ32222-22-2-2-22200002222-2-22-2-2-2-22-2-22222-2-2-2-2000000002-22-20000000000000000000000000000−22−222-22-20000−2−222−2−22200000000000000−22−22
χ33222-22-2-2-22200002222-2-22-2-2-2-22-2-22222-2-2-2-200000000-22-2200000000000000000000000000002−22−2-22-22000022−2−222−2−200000000000000−22−22
χ34222-22-2-2-22200002222-2-22-2-2-2-22-2-22222-2-2-2-200000000-22-220000000000000000000000000000−22−22-22-220000−2−222−2−222000000000000002−22−2
χ3522-22-22-2-222-22-2222-2-2-2-2-2-2222-22-222-2-2-2-222-2-2-22222-22i2i−2i−2i0000000000-2-222000000000000−2i2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ3622-22-22-2-222-22-2222-2-2-2-2-2-2222-22-222-2-2-2-222-2-2-22222-2−2i−2i2i2i0000000000-2-2220000000000002i−2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ3722-22-22-2-22-12-22-22-1-2-2-2-2112-1-1121-1-11111-1-12-1-1-2-21122i2i−2i−2i2-2-1-11122-2-2-1-111-1-1-1-1111100002i−2i0000−i−iii−i−iii000000002i−2i0000−i−iii00000000
χ3822-22-22-2-22-12-22-22-1-2-2-2-2112-1-1121-1-11111-1-12-1-1-2-21122i2i−2i−2i-2211-1-1-2-222-1-1111111-1-1-1-100002i−2i0000−i−iii−i−iii00000000−2i2i0000ii−i−i00000000
χ3922-22-22-2-22-12-22-22-1-2-2-2-2112-1-1121-1-11111-1-12-1-1-2-2112−2i−2i2i2i2-2-1-11122-2-2-1-111-1-1-1-111110000−2i2i0000ii−i−iii−i−i00000000−2i2i0000ii−i−i00000000
χ4022-22-22-2-22-12-22-22-1-2-2-2-2112-1-1121-1-11111-1-12-1-1-2-2112−2i−2i2i2i-2211-1-1-2-222-1-1111111-1-1-1-10000−2i2i0000ii−i−iii−i−i000000002i−2i0000−i−iii00000000
χ4122-22-22-2-22-1-22-222-1-2-2-2-2112-1-1121-1-11111-1-1-21122-1-1-22i2i−2i−2i00−i3i3i3−i3000011-1-1−i3−i3i3i3i3i3−i3−i30000−2i2i0000−i−iiiii−i−i000000000000003−3−3300000000
χ4222-22-22-2-22-1-22-222-1-2-2-2-2112-1-1121-1-11111-1-1-21122-1-1-22i2i−2i−2i00i3−i3−i3i3000011-1-1i3i3−i3−i3−i3−i3i3i30000−2i2i0000−i−iiiii−i−i00000000000000−333−300000000
χ4322-22-22-2-22-1-22-222-1-2-2-2-2112-1-1121-1-11111-1-1-21122-1-1-2−2i−2i2i2i00−i3i3i3−i3000011-1-1−i3−i3i3i3i3i3−i3−i300002i−2i0000ii−i−i−i−iii00000000000000−333−300000000
χ4422-22-22-2-22-1-22-222-1-2-2-2-2112-1-1121-1-11111-1-1-21122-1-1-2−2i−2i2i2i00i3−i3−i3i3000011-1-1i3i3−i3−i3−i3−i3i3i300002i−2i0000ii−i−i−i−iii000000000000003−3−3300000000
χ4522-22-22-2-2-122-22-2-121111-2-2-122-2-1-2-1-11111-1-1-12211-2-2-100002-222-2-2-1-111-1-111-1-1-1-1111122-2-20022-2-200000000-1-1-1-1111100-1-111000000000000
χ4622-22-22-2-2-122-22-2-121111-2-2-122-2-1-2-1-11111-1-1-12211-2-2-100002-222-2-2-1-111-1-111-1-1-1-11111-2-22200-2-222000000001111-1-1-1-10011-1-1000000000000
χ4722-22-22-2-2-122-22-2-121111-2-2-122-2-1-2-1-11111-1-1-12211-2-2-10000-22-2-22211-1-1-1-1111111-1-1-1-122-2-200-2-222000000001111-1-1-1-100-1-111000000000000
χ4822-22-22-2-2-122-22-2-121111-2-2-122-2-1-2-1-11111-1-1-12211-2-2-10000-22-2-22211-1-1-1-1111111-1-1-1-1-2-2220022-2-200000000-1-1-1-111110011-1-1000000000000
χ4922-2-2-2-22222000022-2-222-22-2-2-2-2-2222-2-222-2-2000000002i−2i−2i2i00000000000000000000000000002−2−222i−2i−2i2i000022−2−2−2−22200000000000000i2−i2−i2i2
χ5022-2-2-2-22222000022-2-222-22-2-2-2-2-2222-2-222-2-2000000002i−2i−2i2i0000000000000000000000000000−222−22i−2i−2i2i0000−2−22222−2−200000000000000−i2i2i2−i2
χ5122-2-2-2-22222000022-2-222-22-2-2-2-2-2222-2-222-2-200000000−2i2i2i−2i00000000000000000000000000002−2−22−2i2i2i−2i000022−2−2−2−22200000000000000−i2i2i2−i2
χ5222-2-2-2-22222000022-2-222-22-2-2-2-2-2222-2-222-2-200000000−2i2i2i−2i0000000000000000000000000000−222−2−2i2i2i−2i0000−2−22222−2−200000000000000i2−i2−i2i2
χ532-222-2-2-222222-2-2-2-22-22-22222-2-2-2-22-22-22-22-222-22-22-2-2000000000000002-22-2000000000000000000000000000000000000000000002-22-20000
χ542-222-2-2-222222-2-2-2-22-22-22222-2-2-2-22-22-22-22-222-22-22-2-2000000000000002-22-200000000000000000000000000000000000000000000-22-220000
χ552-222-2-2-2222-2-222-2-22-22-22222-2-2-2-22-22-22-22-2-2-22-22-22200000000000000-22-22000000002i−2i2i−2i0000000000000000000000002i−2i2i−2i000000000000
χ562-222-2-2-2222-2-222-2-22-22-22222-2-2-2-22-22-22-22-2-2-22-22-22200000000000000-22-2200000000−2i2i−2i2i000000000000000000000000−2i2i−2i2i000000000000
χ572-222-2-2-22-12-2-2221-2-11-1122-12-2-21-2-11-11-11-111-221-1-22-100000000003−33−31-11-13−33−33−33−32i−2i2i−2i00000000000000−i3i3−i3i3−i3i3−i3i300−ii−ii000000000000
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χ602-222-2-2-22-12-2-2221-2-11-1122-12-2-21-2-11-11-11-111-221-1-22-10000000000−33−331-11-1−33−33−33−33−2i2i−2i2i00000000000000−i3i3−i3i3−i3i3−i3i300i−ii−i000000000000
χ612-2-222-22-2222-2-22-2-2-22-22-2-222-22-222-2-22-222-222-2-22-22-2000000000000002-2-22000000000000000000000000000000000000000000002i−2i−2i2i0000
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χ7344444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111222222220000002i3−2i32i3−2i30000-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000000000000
χ74444-44-4-4-44-200004-244-4-4-22-422-2-42-2-2-2-22222000000004-44-400000000000000000000000000000000-22-22000000000000000000000000000000
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χ7944-44-44-4-4-2-24-44-4-2-2222222-2-2-22-2211-1-1-1-111-2-2-22222-200004-4-2-222-2-22211-1-11111-1-1-1-100000000000000000000000000000000000000000000
χ8044-44-44-4-4-2-24-44-4-2-2222222-2-2-22-2211-1-1-1-111-2-2-22222-20000-4422-2-222-2-211-1-1-1-1-1-1111100000000000000000000000000000000000000000000
χ8144-44-44-4-4-2-2-44-44-2-2222222-2-2-22-2211-1-1-1-111222-2-2-2-22000000−2i32i32i3−2i30000-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000000000000
χ8244-44-44-4-4-2-2-44-44-2-2222222-2-2-22-2211-1-1-1-111222-2-2-2-220000002i3−2i3−2i32i30000-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000000000000
χ8344-4-4-4-4444-200004-2-4-4442-2-4222-4-2-2-222-2-222000000004i−4i−4i4i00000000000000000000000000000000−2i2i2i−2i000000000000000000000000000000
χ8444-4-4-4-4444-200004-2-4-4442-2-4222-4-2-2-222-2-22200000000−4i4i4i−4i000000000000000000000000000000002i−2i−2i2i000000000000000000000000000000
χ8544-4-4-4-444-240000-2422-2-2-442-4-4-424-2-222-2-222000000000000000000000000000000000000000022−22−222200000000−2−22222−2−2000000000000000000
χ8644-4-4-4-444-240000-2422-2-2-442-4-4-424-2-222-2-2220000000000000000000000000000000000000000−222222−220000000022−2−2−2−222000000000000000000
χ874-444-4-4-444-244-4-4-424-44-4-2-24-222-42-22-22-22-224-224-4-22-400000000000000-22-220000000000000000000000000000000000000000000000000000
χ884-444-4-4-444-2-4-444-424-44-4-2-24-222-42-22-22-22-22-42-2-442-24000000000000002-22-20000000000000000000000000000000000000000000000000000
χ894-444-4-4-44-2444-4-42-4-22-2244-24-4-42-4-22-22-22-22-24-4-224-4200000000000000-22-220000000000000000000000000000000000000000000000000000
χ904-444-4-4-44-2-244-4-422-22-22-2-2-2-222221-11-11-11-1-2-22-22-222000000000000001-11-13i−3i−3i3i3i−3i−3i3i00000000000000000000000000000000000000000000
χ914-444-4-4-44-2-244-4-422-22-22-2-2-2-222221-11-11-11-1-2-22-22-222000000000000001-11-1−3i3i3i−3i−3i3i3i−3i00000000000000000000000000000000000000000000
χ924-444-4-4-44-2-2-4-44422-22-22-2-2-2-222221-11-11-11-122-22-22-2-2000000000023−2323−23-11-11−33−33−33−3300000000000000000000000000000000000000000000
χ934-444-4-4-44-2-2-4-44422-22-22-2-2-2-222221-11-11-11-122-22-22-2-20000000000−2323−2323-11-113−33−33−33−300000000000000000000000000000000000000000000
χ944-44-4-444-4440000-4-44-4-444-4-4-44-4444-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ954-44-4-444-44-20000-424-4-44-22-42-224-2-22-222-22-2000000000000000000000000000000000000000000000000−2i32i3−2i32i300000000000000000000000000
χ964-44-4-444-44-20000-424-4-44-22-42-224-2-22-222-22-20000000000000000000000000000000000000000000000002i3−2i32i3−2i300000000000000000000000000
χ974-44-4-444-4-2400002-4-222-24-42-44-4-24-22-222-22-20000000000000000000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i6000000000000000000
χ984-44-4-444-4-2400002-4-222-24-42-44-4-24-22-222-22-20000000000000000000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i6000000000000000000
χ994-4-444-44-44-24-4-44-42-44-44224-22-2-4-2-222-22-2-224-22-442-2-400000000000000-222-20000000000000000000000000000000000000000000000000000
χ1004-4-444-44-44-2-444-4-42-44-44224-22-2-4-2-222-22-2-22-42-24-4-224000000000000002-2-220000000000000000000000000000000000000000000000000000
χ1014-4-444-44-4-244-4-442-42-22-2-4-4-24-4424-222-22-2-22-24-42-2-44200000000000000-222-20000000000000000000000000000000000000000000000000000
χ1024-4-444-44-4-2-24-4-44222-22-222-2-22-22-21-1-11-111-1-2-222-22-22000000000000001-1-113i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000000000
χ1034-4-444-44-4-2-24-4-44222-22-222-2-22-22-21-1-11-111-1-2-222-22-22000000000000001-1-11−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000000000
χ1044-4-444-44-4-2-2-444-4222-22-222-2-22-22-21-1-11-111-122-2-22-22-2000000000023−23−2323-111-1−33−333−33−300000000000000000000000000000000000000000000
χ1054-4-444-44-4-2-2-444-4222-22-222-2-22-22-21-1-11-111-122-2-22-22-20000000000−232323−23-111-13−33−3−33−3300000000000000000000000000000000000000000000
χ1064-4-4-444-44440000-4-4-444-4-44-4-4444-44-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1074-4-4-444-444-20000-42-444-42-2-42-2-242-222-2-222-200000000000000000000000000000000000000000000000023−23−232300000000000000000000000000
χ1084-4-4-444-444-20000-42-444-42-2-42-2-242-222-2-222-2000000000000000000000000000000000000000000000000−232323−2300000000000000000000000000
χ1094-4-4-444-44-2400002-42-2-22-442-444-2-4-222-2-222-20000000000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000
χ1104-4-4-444-44-2400002-42-2-22-442-444-2-4-222-2-222-20000000000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000
χ111888-88-8-8-8-4-40000-4-4-4-444-44444-4442222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-8-888-4-40000-4-444-4-44-444444-422-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-888-8-4-4000044-444-4-4444-44-4-42-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8-888-88-4-40000444-4-444-444-4-4-442-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000

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