Finite Group Databasebeta

← Group #11791669

Character table — Group #11791669

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
χ91-1-111-11-11111-1-11-1-1-1-1-1-1-11111-1111-1-1-1-1111111-1-1-1-111-1-11-111-1-111-1-111-1-11111-1-1-1-11-1ii−i−iii−i−i11-1-111-1-1iiii−i−i−i−i1-1ii−i−i11-1-1ii−i−iii−i−i
χ101-1-111-11-11111-1-11-1-1-1-1-1-1-11111-1111-1-1-1-1111111-1-1-1-111-1-11-111-1-111-1-111-1-11111-1-1-1-11-1−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii1-1−i−iii11-1-1−i−iii−i−iii
χ111-1-111-11-11111-1-11-1-1-1-1-1-1-11111-1111-1-1-1-1111111-1-1-1-111-1-1-11-1-111-1-11111-1-1-1-1-1-111111-1ii−i−i−i−iii11-1-111-1-1−i−i−i−iiiii-11ii−i−i-1-111ii−i−i−i−iii
χ121-1-111-11-11111-1-11-1-1-1-1-1-1-11111-1111-1-1-1-1111111-1-1-1-111-1-1-11-1-111-1-11111-1-1-1-1-1-111111-1−i−iiiii−i−i11-1-111-1-1iiii−i−i−i−i-11−i−iii-1-111−i−iiiii−i−i
χ131-1-111-11-11111-1-11-1-1-1-1-1-1-11111-1111-1-1-1-1111111-1-1-1-1-1-1111-111-1-111-1-111-1-11111-1-1-1-1-11ii−i−iii−i−i-1-111-1-111iiii−i−i−i−i-11ii−i−i-1-111−i−iii−i−iii
χ141-1-111-11-11111-1-11-1-1-1-1-1-1-11111-1111-1-1-1-1111111-1-1-1-1-1-1111-111-1-111-1-111-1-11111-1-1-1-1-11−i−iii−i−iii-1-111-1-111−i−i−i−iiiii-11−i−iii-1-111ii−i−iii−i−i
χ151-1-111-11-11111-1-11-1-1-1-1-1-1-11111-1111-1-1-1-1111111-1-1-1-1-1-111-11-1-111-1-11111-1-1-1-1-1-11111-11ii−i−i−i−iii-1-111-1-111−i−i−i−iiiii1-1ii−i−i11-1-1−i−iiiii−i−i
χ161-1-111-11-11111-1-11-1-1-1-1-1-1-11111-1111-1-1-1-1111111-1-1-1-1-1-111-11-1-111-1-11111-1-1-1-1-1-11111-11−i−iiiii−i−i-1-111-1-111iiii−i−i−i−i1-1−i−iii11-1-1ii−i−i−i−iii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-222220000000000-2-2-2-200000000-2-200000000-2-2-2-2222200000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000-2-2-2-20000000022000000002222-2-2-2-200000000000000000000000000
χ19222222222-122222222-1-1-1-12-12-12-1-1-1-1-1-1-1-1-122-1-12-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200000000-1-1-1-1-1-1-1-100000000220000-1-1-1-100000000
χ20222222222-122222222-1-1-1-12-12-12-1-1-1-1-1-1-1-1-122-1-12-1-122222-2-2-2-2-2-21111-1-1-1-1111111112200000000-1-1-1-1-1-1-1-100000000-2-20000111100000000
χ21222222222-122222222-1-1-1-12-12-12-1-1-1-1-1-1-1-1-122-1-12-1-12-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000001111111100000000-2-20000111100000000
χ22222222222-122222222-1-1-1-12-12-12-1-1-1-1-1-1-1-1-122-1-12-1-12-2-2-2-2-2-2-2-2-2-21111-1-1-1-111111111-2-2000000001111111100000000220000-1-1-1-100000000
χ23222222222-1-2-2-2-22222-1-1-1-12-12-12-1-1-1-1-1-1-1-1-1-2-211-211-22222000000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i3-2-2000000001111-1-1-1-100000000000000−i3i3−i3i300000000
χ24222222222-1-2-2-2-22222-1-1-1-12-12-12-1-1-1-1-1-1-1-1-1-2-211-211-22222000000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i3-2-2000000001111-1-1-1-100000000000000i3−i3i3−i300000000
χ25222222222-1-2-2-2-22222-1-1-1-12-12-12-1-1-1-1-1-1-1-1-1-2-211-211-2-2-2-2-2000000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i32200000000-1-1-1-1111100000000000000i3−i3i3−i300000000
χ26222222222-1-2-2-2-22222-1-1-1-12-12-12-1-1-1-1-1-1-1-1-1-2-211-211-2-2-2-2-2000000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i32200000000-1-1-1-1111100000000000000−i3i3−i3i300000000
χ2722222222-122222-1-1-1-12222-12-12-12-1-1-1-1-1-1-1-1-1-122-122-1000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002222222200000000-1-1-1-1-1-1-1-100-1-1-1-1000000000000
χ2822222222-122222-1-1-1-12222-12-12-12-1-1-1-1-1-1-1-1-1-122-122-1000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-2-2-20000000011111111001111000000000000
χ2922222222-122222-1-1-1-12222-12-12-12-1-1-1-1-1-1-1-1-1-122-122-10000-2-21111-2-2-2-2-1-1-1-111111111002222-2-2-2-2000000001111111100-1-1-1-1000000000000
χ3022222222-122222-1-1-1-12222-12-12-12-1-1-1-1-1-1-1-1-1-122-122-10000-2-21111-2-2-2-2-1-1-1-11111111100-2-2-2-2222200000000-1-1-1-1-1-1-1-1001111000000000000
χ3122-22-22-2-2222-22-2-22-2-222-2-222-2-22-22-222-2-22-22-22-222-2-2000000000000002-22-200000000002-22-200000000000000000000002-22-2000000000000
χ3222-22-22-2-2222-22-2-22-2-222-2-222-2-22-22-222-2-22-22-22-222-2-2000000000000002-22-20000000000-22-220000000000000000000000-22-22000000000000
χ3322-22-22-2-222-22-22-22-2-222-2-222-2-22-22-222-2-22-2-22-22-2-22200000000000000-22-22000000000000000000000000000000000000000000002i−2i2i−2i0000
χ3422-22-22-2-222-22-22-22-2-222-2-222-2-22-22-222-2-22-2-22-22-2-22200000000000000-22-2200000000000000000000000000000000000000000000−2i2i−2i2i0000
χ3522-22-22-2-2-122-22-21-11122-2-2-121-2-1-2-11-1-111-11-112-2-12-210000003−33−30000-11-113−33−33−33−3002-22-200000000000033−3−333−3−300-11-11000000000000
χ3622-22-22-2-2-122-22-21-11122-2-2-121-2-1-2-11-1-111-11-112-2-12-210000003−33−30000-11-113−33−33−33−300-22-22000000000000−3−333−3−333001-11-1000000000000
χ3722-22-22-2-2-122-22-21-11122-2-2-121-2-1-2-11-1-111-11-112-2-12-21000000−33−330000-11-11−33−33−33−33002-22-2000000000000−3−333−3−33300-11-11000000000000
χ3822-22-22-2-2-122-22-21-11122-2-2-121-2-1-2-11-1-111-11-112-2-12-21000000−33−330000-11-11−33−33−33−3300-22-2200000000000033−3−333−3−3001-11-1000000000000
χ3922-2-22-2-22220000-222-22-22-2-2-222-2-22-22-22-2-22000000002i−2i2i−2i0000000000000000000000000000−i2i2−i2i200002i−2i2i−2i−i2i2−i2i2−i2i2−i2i2000000000000002−22−2
χ4022-2-22-2-22220000-222-22-22-2-2-222-2-22-22-22-2-22000000002i−2i2i−2i0000000000000000000000000000i2−i2i2−i200002i−2i2i−2ii2−i2i2−i2i2−i2i2−i200000000000000−22−22
χ4122-2-22-2-22220000-222-22-22-2-2-222-2-22-22-22-2-2200000000−2i2i−2i2i0000000000000000000000000000−i2i2−i2i20000−2i2i−2i2i−i2i2−i2i2−i2i2−i2i200000000000000−22−22
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χ442-222-2-2-22222-2-22-2-222-2-22222-2-2-2-22-2-2-2222-22-22-2-2-222000000000000002-2-220000000000−2i2i2i−2i0000000000000000000000−2i2i2i−2i000000000000
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χ472-222-2-2-22-122-2-2211-1-1-2-222-121-21-2-1111-1-1-11-112-21-22-10000003−3−330000-111-13−33−3−33−33002i−2i−2i2i000000000000i3i3−i3−i3−i3−i3i3i300−iii−i000000000000
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χ512-22-222-2-2220000-2-2-22-22-22-2-2222-22-2-22-22-22000000002i−2i−2i2i00000000000000000000000000002−2−2200002i−2i−2i2i2−22−2−22−2200000000000000i2−i2−i2i2
χ522-22-222-2-2220000-2-2-22-22-22-2-2222-22-2-22-22-22000000002i−2i−2i2i0000000000000000000000000000−222−200002i−2i−2i2i−22−222−22−200000000000000−i2i2i2−i2
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χ8244-44-44-4-4-2-24-44-42-222-2-222-2-222-221-111-1-11-1-22-22-2-22200000023−2323−2300001-11-1−33−33−33−3300000000000000000000000000000000000000000000
χ8344-44-44-4-4-2-24-44-42-222-2-222-2-222-221-111-1-11-1-22-22-2-222000000−2323−232300001-11-13−33−33−33−300000000000000000000000000000000000000000000
χ8444-44-44-4-4-2-2-44-442-222-2-222-2-222-221-111-1-11-12-22-222-2-200000000000000-11-113i−3i−3i3i3i−3i−3i3i00000000000000000000000000000000000000000000
χ8544-44-44-4-4-2-2-44-442-222-2-222-2-222-221-111-1-11-12-22-222-2-200000000000000-11-11−3i3i3i−3i−3i3i3i−3i00000000000000000000000000000000000000000000
χ8644-4-44-4-444-20000-444-4-22-22-424-2-42-22-22-222-2000000004i−4i4i−4i000000000000000000000000000000000000−2i2i−2i2i00000000000000000000000000
χ8744-4-44-4-444-20000-444-4-22-22-424-2-42-22-22-222-200000000−4i4i−4i4i0000000000000000000000000000000000002i−2i2i−2i00000000000000000000000000
χ8844-4-44-4-44-2400002-2-224-44-42-4-242-4-22-22-222-20000000000000000000000000000000000000000−2i22i2−2i22i200000000i2−i2i2−i2i2−i2i2−i2000000000000000000
χ8944-4-44-4-44-2400002-2-224-44-42-4-242-4-22-22-222-200000000000000000000000000000000000000002i2−2i22i2−2i200000000−i2i2−i2i2−i2i2−i2i2000000000000000000
χ904-444-4-4-444-24-4-44-4-44422-2-24-2-42-42-2222-2-2-224-4-22-42-2400000000000000-222-20000000000000000000000000000000000000000000000000000
χ914-444-4-4-444-2-444-4-4-44422-2-24-2-42-42-2222-2-2-22-442-24-22-4000000000000002-2-220000000000000000000000000000000000000000000000000000
χ924-444-4-4-44-24-444-422-2-2-4-444-242-42-4-2222-2-2-222-2-44-24-42000000000000002-2-220000000000000000000000000000000000000000000000000000
χ934-444-4-4-44-2-24-4-4422-2-222-2-2-2-222221-1-1-1111-1-22-2222-2-200000023−23−232300001-1-11−33−333−33−300000000000000000000000000000000000000000000
χ944-444-4-4-44-2-24-4-4422-2-222-2-2-2-222221-1-1-1111-1-22-2222-2-2000000−232323−2300001-1-113−33−3−33−3300000000000000000000000000000000000000000000
χ954-444-4-4-44-2-2-444-422-2-222-2-2-2-222221-1-1-1111-12-22-2-2-22200000000000000-111-13i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000000000
χ964-444-4-4-44-2-2-444-422-2-222-2-2-2-222221-1-1-1111-12-22-2-2-22200000000000000-111-1−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000000000
χ974-44-444-4-44-20000-4-4-442-22-2-424-242-222-22-22-2000000004i−4i−4i4i000000000000000000000000000000000000−2i2i2i−2i00000000000000000000000000
χ984-44-444-4-44-20000-4-4-442-22-2-424-242-222-22-22-200000000−4i4i4i−4i0000000000000000000000000000000000002i−2i−2i2i00000000000000000000000000
χ994-44-444-4-4-240000222-2-44-442-4-24-2-4-222-22-22-2000000000000000000000000000000000000000022−22−222200000000−22−222−22−2000000000000000000
χ1004-44-444-4-4-240000222-2-44-442-4-24-2-4-222-22-22-20000000000000000000000000000000000000000−222222−22000000002−22−2−22−22000000000000000000
χ1014-4-444-44-4-24-4-444-2222-4-4-4-4-24-2424-2-22222-2-222-4-4-244-20000000000000022-2-20000000000000000000000000000000000000000000000000000
χ1024-4-444-44-4-2-244-4-4-22222222-2-2-2-22-211-1-1-1-111-2-2-2-2222200004-4-2-222-2-22211-1-11111-1-1-1-100000000000000000000000000000000000000000000
χ1034-4-444-44-4-2-244-4-4-22222222-2-2-2-22-211-1-1-1-111-2-2-2-222220000-4422-2-222-2-211-1-1-1-1-1-1111100000000000000000000000000000000000000000000
χ1044-4-444-44-4-2-2-4-444-22222222-2-2-2-22-211-1-1-1-1112222-2-2-2-20000000000−2i32i32i3−2i3-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000000000000
χ1054-4-444-44-4-2-2-4-444-22222222-2-2-2-22-211-1-1-1-1112222-2-2-2-200000000002i3−2i3−2i32i3-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000000000000
χ1064-4-4-4-44444400004-44-4-444-4-4-4-4-44444-444-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1074-4-4-4-44444-200004-44-42-2-22-42-424-2-2-22-2-22220000000000000000000000000000000000000000000023−23−2323000000000000000000000000000000
χ1084-4-4-4-44444-200004-44-42-2-22-42-424-2-2-22-2-222200000000000000000000000000000000000000000000−232323−23000000000000000000000000000000
χ1094-4-4-4-4444-240000-22-22-444-42-42-4-24-2-22-2-222200000000000000000000000000000000000000000000000000006−6−66−666−6000000000000000000
χ1104-4-4-4-4444-240000-22-22-444-42-42-4-24-2-22-2-22220000000000000000000000000000000000000000000000000000−666−66−6−66000000000000000000
χ111888-8-8-88-8-4-40000-4-44-4-444-444444-4222-2-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-88-8-88-4-400004-4-44-44-4444-4-4442-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-888-8-8-4-40000444-44-44-444-4-4-442-2-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8-8-8888-4-40000-44-444-4-444444-4-422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000

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