Finite Group Databasebeta

← Group #11789912

Character table — Group #11789912

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order122222223344446666666666666636666666121212121212121244121212121212121212121212121212121212121244448888121212121212121224242424242424242244666612121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1
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
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
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
χ911-11-1-11-1111-1-111-1-1-111-111-1-1-1-11111-1-1-11-11111-1-1-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−ii−ii−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-111-1-111-1-111-1-1i−i
χ1011-11-1-11-1111-1-111-1-1-111-111-1-1-1-11111-1-1-11-11111-1-1-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−ii−ii−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1-1-1111-1-1-1-111-1-111−ii
χ1111-11-1-11-1111-1-111-1-1-111-111-1-1-1-11111-1-1-11-11111-1-1-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i−ii−iiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-111-1-1-11111-1-1-1-111−ii
χ1211-11-1-11-1111-1-111-1-1-111-111-1-1-1-11111-1-1-11-11111-1-1-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i−ii−ii−i−iii−i−i−i−iiiii−i−i−i−iiiii-11-11-1-111-1-11111-1-1i−i
χ1311-11-1-11-1111-1-111-1-1-111-111-1-1-1-11111-1-1-11-11111-1-1-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiiii−ii−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-11-11-1-111-1-11111-1-1−ii
χ1411-11-1-11-1111-1-111-1-1-111-111-1-1-1-11111-1-1-11-11111-1-1-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiiii−ii−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-111-1-1-11111-1-1-1-111i−i
χ1511-11-1-11-1111-1-111-1-1-111-111-1-1-1-11111-1-1-11-11111-1-1-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii−ii−iiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1-1-1111-1-1-1-111-1-111i−i
χ1611-11-1-11-1111-1-111-1-1-111-111-1-1-1-11111-1-1-11-11111-1-1-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii−ii−ii−i−iii−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-111-1-111-1-1−ii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000022-2-2000022-2-222-2-200000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000-2-2220000-2-222-2-22200000000000000000000000000
χ19222222222-122222222-1-1-12-12-1-1-12-1-1-1-1-1-1-1-122-1-12-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002200-1-1-1-10000000000
χ20222222222-122222222-1-1-12-12-1-1-12-1-1-1-1-1-1-1-122-1-12-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20011110000000000
χ21222222222-122222222-1-1-12-12-1-1-12-1-1-1-1-1-1-1-122-1-12-1-12-2-2-2-211-2-211-1-1-1-11111111122220000-1-1-1-1-1-1-1-100000000-2-20011110000000000
χ22222222222-122222222-1-1-12-12-1-1-12-1-1-1-1-1-1-1-122-1-12-1-12-2-2-2-211-2-211-1-1-1-111111111-2-2-2-2000011111111000000002200-1-1-1-10000000000
χ23222222222-1-2-2-2-22222-1-1-12-12-1-1-12-1-1-1-1-1-1-1-1-2-211-211-20000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i322-2-20000-1-111-1-111000000000000−i3i3−i3i30000000000
χ24222222222-1-2-2-2-22222-1-1-12-12-1-1-12-1-1-1-1-1-1-1-1-2-211-211-20000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i3-2-222000011-1-111-1-1000000000000i3−i3i3−i30000000000
χ25222222222-1-2-2-2-22222-1-1-12-12-1-1-12-1-1-1-1-1-1-1-1-2-211-211-20000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i322-2-20000-1-111-1-111000000000000i3−i3i3−i30000000000
χ26222222222-1-2-2-2-22222-1-1-12-12-1-1-12-1-1-1-1-1-1-1-1-2-211-211-20000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i3-2-222000011-1-111-1-1000000000000−i3i3−i3i30000000000
χ2722222222-122222-1-1-1-1222-12-1222-1-1-1-1-1-1-1-1-1-1-122-122-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100220000-1-1-1-1000000
χ2822222222-122222-1-1-1-1222-12-1222-1-1-1-1-1-1-1-1-1-1-122-122-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100-2-200001111000000
χ2922222222-122222-1-1-1-1222-12-1222-1-1-1-1-1-1-1-1-1-1-122-122-1-2-211-2-211-2-2-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-100-2-200001111000000
χ3022222222-122222-1-1-1-1222-12-1222-1-1-1-1-1-1-1-1-1-1-122-122-1-2-211-2-211-2-2-1-1-1-1111111110000-2-2-2-2000000001111111100220000-1-1-1-1000000
χ3122-22-2-22-222-222-22-2-2-222-222-2-2-2-22222-2-2-22-2-2-2-2-222220000000000-2-222000000002i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ3222-22-2-22-222-222-22-2-2-222-222-2-2-2-22222-2-2-22-2-2-2-2-222220000000000-2-22200000000−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ3322-22-2-22-22-12-2-222-2-2-2-1-112-1-21112-1-1-1111-1122-1-1-211-22i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii2i−2i2i−2i0000−i−i−i−iiiii000000002-200-1-1110000000000
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χ3522-22-2-22-22-12-2-222-2-2-2-1-112-1-21112-1-1-1111-1122-1-1-211-2−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i2i−2i2i−2i0000−i−i−i−iiiii00000000-220011-1-10000000000
χ3622-22-2-22-22-12-2-222-2-2-2-1-112-1-21112-1-1-1111-1122-1-1-211-2−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i−2i2i−2i2i0000iiii−i−i−i−i000000002-200-1-1110000000000
χ3722-22-2-22-22-1-222-22-2-2-2-1-112-1-21112-1-1-1111-11-2-2112-1-1200003−300−3311-1-133−3−3−3−3332i−2i−2i2i0000−i−iiiii−i−i000000000000−i3i3i3−i30000000000
χ3822-22-2-22-22-1-222-22-2-2-2-1-112-1-21112-1-1-1111-11-2-2112-1-1200003−300−3311-1-133−3−3−3−333−2i2i2i−2i0000ii−i−i−i−iii000000000000i3−i3−i3i30000000000
χ3922-22-2-22-22-1-222-22-2-2-2-1-112-1-21112-1-1-1111-11-2-2112-1-120000−33003−311-1-1−3−33333−3−32i−2i−2i2i0000−i−iiiii−i−i000000000000i3−i3−i3i30000000000
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χ4122-22-2-22-2-122-2-22-111122-2-121-2-2-2-1-1-1-1111-11-1-1221-2-212i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii00002i2i−2i−2i00000000−i−i−i−iiiii002-20000-1-111000000
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χ4422-22-2-22-2-122-2-22-111122-2-121-2-2-2-1-1-1-1111-11-1-1221-2-21−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i0000−2i−2i2i2i00000000iiii−i−i−i−i002-20000-1-111000000
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χ492-2222-2-2-2-12-22-221-111-2-22-12-12-2-21-111-111-1-11-1-22-1-22100−i3i300−i3i3001-11-1−i3i3−i3i3−i3i3−i3i300002i−2i2i−2i00000000−i−iii−i−iii000000003−33−3000000
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χ522-2222-2-2-2-12-22-221-111-2-22-12-12-2-21-111-111-1-11-1-22-1-22100i3−i300i3−i3001-11-1i3−i3i3−i3i3−i3i3−i30000−2i2i−2i2i00000000ii−i−iii−i−i000000003−33−3000000
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χ874-4444-4-4-4-2-2-44-442-22222-2-2-2-2-22221-1-11-1-1112-22-2-22-22002i3−2i3002i3−2i300-11-11−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000
χ884-44-4-4-444440000-44-44-444-4-4-4-4-4444-444-44-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ894-44-4-4-4444-20000-44-442-2-2-42-422-24-22-2-22-2220000000000000000000000000000000000000023−230023−230000000000000000000000000000
χ904-44-4-4-4444-20000-44-442-2-2-42-422-24-22-2-22-22200000000000000000000000000000000000000−232300−23230000000000000000000000000000
χ914-44-4-4-444-2400002-22-2-4442-42-4-44-2-22-2-22-22200000000000000000000000000000000000000000000006−6−666−6−66000000000000000000
χ924-44-4-4-444-2400002-22-2-4442-42-4-44-2-22-2-22-2220000000000000000000000000000000000000000000000−666−6−666−6000000000000000000
χ934-4-44-44-444-244-4-4-4-4442224-2-42-2-2-4-2222-2-2-224-4-2242-2-40000000000-222-200000000000000000000000000000000000000000000000000
χ944-4-44-44-444-2-4-444-4-4442224-2-42-2-2-4-2222-2-2-22-442-2-4-22400000000002-2-2200000000000000000000000000000000000000000000000000
χ954-4-44-44-44-2444-4-422-2-2-4-4-4-242-4442-2222-2-2-22-224-4-2-4420000000000-222-200000000000000000000000000000000000000000000000000
χ964-4-44-44-44-2-244-4-422-2-2222-2-222-2-221-1-1-1111-1-22-22-22-2200000000001-1-113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000
χ974-4-44-44-44-2-244-4-422-2-2222-2-222-2-221-1-1-1111-1-22-22-22-2200000000001-1-11−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ984-4-44-44-44-2-2-4-44422-2-2222-2-222-2-221-1-1-1111-12-22-22-22-20023−2300−232300-111-1−33−333−33−3000000000000000000000000000000000000000000
χ994-4-44-44-44-2-2-4-44422-2-2222-2-222-2-221-1-1-1111-12-22-22-22-200−23230023−2300-111-13−33−3−33−33000000000000000000000000000000000000000000
χ1004-4-4-4444-4440000-4-44-4-44-4-4-4444-444-44-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4-4444-44-20000-4-44-42-22-424-2-224-22-22-222-200000000000000000000000000000000000000−2i32i3002i3−2i30000000000000000000000000000
χ1024-4-4-4444-44-20000-4-44-42-22-424-2-224-22-22-222-2000000000000000000000000000000000000002i3−2i300−2i32i30000000000000000000000000000
χ1034-4-4-4444-4-24000022-22-44-42-4-244-4-2-22-22-222-20000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000
χ1044-4-4-4444-4-24000022-22-44-42-4-244-4-2-22-22-222-20000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000
χ105888-8-88-8-8-4-40000-4-4-44-44-44444-44422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-8-88-4-40000-444-4-44444-4-44-4422-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-8-888-4-400004-44-44-4-444444-4-42-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-8888-8-4-4000044-444-4444-4-4-44-42-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000

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