Finite Group Databasebeta

← Group #11773854

Character table — Group #11773854

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222244444444444444444444444444444444444444444444444444444444444444444444181818183636363636367272727272727272
order12222222223344446666666666666666666666666666661212121212121212121212121212121212121212121212121212121212121212444422224488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ5111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1
χ6111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111
χ7111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1ii−i−i−i−iii
χ8111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−iiiii−i−i
χ9111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-11-11-11-1
χ10111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-11-11-11
χ11111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111i−ii−i−ii−ii
χ12111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−ii−iii−ii−i
χ13111111-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-11-1-111-1-11
χ14111111-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-111-1-111-1
χ15111111-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-111i−i−ii−iii−i
χ16111111-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-111−iii−ii−i−ii
χ172222-2-222-2-22200002222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2220000000000000000000000000000000022-2-200002-200000000
χ182222-2-222-2-22200002222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22200000000000000000000000000000000-2-2220000-2200000000
χ192222-2-2-2-2222200002222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222220000000000000000000000000000000022-2-20000-2200000000
χ202222-2-2-2-2222200002222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222200000000000000000000000000000000-2-22200002-200000000
χ2122-2-22-2000022002i−2i22-2-22222-2-2-2-20000000000000000-2-200000000000000002i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i−2i2i−2i002-20000000000
χ2222-2-22-2000022002i−2i22-2-22222-2-2-2-20000000000000000-2-200000000000000002i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i−2i2i00-220000000000
χ2322-2-22-200002200−2i2i22-2-22222-2-2-2-20000000000000000-2-20000000000000000−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2i−2i2i−2i00-220000000000
χ2422-2-22-200002200−2i2i22-2-22222-2-2-2-20000000000000000-2-20000000000000000−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i2i−2i2i002-20000000000
χ2522-2-2-220000222i−2i0022-2-2-2-2-2-222220000000000000000-2-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i00000000000000002i−2i−2i2i2-2000000000000
χ2622-2-2-220000222i−2i0022-2-2-2-2-2-222220000000000000000-2-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i0000000000000000−2i2i2i−2i-22000000000000
χ2722-2-2-22000022−2i2i0022-2-2-2-2-2-222220000000000000000-2-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i00000000000000002i−2i−2i2i-22000000000000
χ2822-2-2-22000022−2i2i0022-2-2-2-2-2-222220000000000000000-2-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i0000000000000000−2i2i2i−2i2-2000000000000
χ2944444444441-244441-21-211-2-211-2-21111-2-2-2-21111-2-2-2-21-21111-2-2-2-21111-2-2-2-21111-2-2-2-21111-2-2-2-2000000000000000000
χ3044444444441-2-4-4-4-41-21-211-2-211-2-21111-2-2-2-21111-2-2-2-21-2-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-12222000000000000000000
χ314444444444-214444-21-21-2-211-2-211-2-2-2-21111-2-2-2-21111-21-2-2-2-21111-2-2-2-21111-2-2-2-21111-2-2-2-21111000000000000000000
χ324444444444-21-4-4-4-4-21-21-2-211-2-211-2-2-2-21111-2-2-2-21111-212222-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1000000000000000000
χ33444444-4-4-4-41-244-4-41-21-211-2-211-2-2-1-1-1-12222-1-1-1-122221-21111-2-2-2-21111-2-2-2-2-1-1-1-12222-1-1-1-12222000000000000000000
χ34444444-4-4-4-41-2-4-4441-21-211-2-211-2-2-1-1-1-12222-1-1-1-122221-2-1-1-1-12222-1-1-1-122221111-2-2-2-21111-2-2-2-2000000000000000000
χ35444444-4-4-4-4-2144-4-4-21-21-2-211-2-2112222-1-1-1-12222-1-1-1-1-21-2-2-2-21111-2-2-2-211112222-1-1-1-12222-1-1-1-1000000000000000000
χ36444444-4-4-4-4-21-4-444-21-21-2-211-2-2112222-1-1-1-12222-1-1-1-1-212222-1-1-1-12222-1-1-1-1-2-2-2-21111-2-2-2-21111000000000000000000
χ374444-4-444-4-41-200001-21-2-1-122-1-1221111-2-2-2-2-1-1-1-122221-233-3-3000033-3-3000033-3-3000033-3-30000000000000000000000
χ384444-4-444-4-41-200001-21-2-1-122-1-1221111-2-2-2-2-1-1-1-122221-2-3-3330000-3-3330000-3-3330000-3-3330000000000000000000000
χ394444-4-444-4-4-210000-21-2122-1-122-1-1-2-2-2-211112222-1-1-1-1-21000033-3-3000033-3-3000033-3-3000033-3-3000000000000000000
χ404444-4-444-4-4-210000-21-2122-1-122-1-1-2-2-2-211112222-1-1-1-1-210000-3-3330000-3-3330000-3-3330000-3-333000000000000000000
χ414444-4-4-4-4441-200001-21-2-1-122-1-122-1-1-1-122221111-2-2-2-21-233-3-3000033-3-30000-3-3330000-3-3330000000000000000000000
χ424444-4-4-4-4441-200001-21-2-1-122-1-122-1-1-1-122221111-2-2-2-21-2-3-3330000-3-333000033-3-3000033-3-30000000000000000000000
χ434444-4-4-4-444-210000-21-2122-1-122-1-12222-1-1-1-1-2-2-2-21111-21000033-3-3000033-3-30000-3-3330000-3-333000000000000000000
χ444444-4-4-4-444-210000-21-2122-1-122-1-12222-1-1-1-1-2-2-2-21111-210000-3-3330000-3-333000033-3-3000033-3-3000000000000000000
χ4544-4-44-400001-2004i−4i1-2-1211-2-2-1-12233-3-3000033-3-30000-123i3i−3i−3i0000−3i−3i3i3i0000iiii−2i−2i−2i−2i−i−i−i−i2i2i2i2i000000000000000000
χ4644-4-44-400001-2004i−4i1-2-1211-2-2-1-122-3-3330000-3-3330000-12−3i−3i3i3i00003i3i−3i−3i0000iiii−2i−2i−2i−2i−i−i−i−i2i2i2i2i000000000000000000
χ4744-4-44-400001-200−4i4i1-2-1211-2-2-1-12233-3-3000033-3-30000-12−3i−3i3i3i00003i3i−3i−3i0000−i−i−i−i2i2i2i2iiiii−2i−2i−2i−2i000000000000000000
χ4844-4-44-400001-200−4i4i1-2-1211-2-2-1-122-3-3330000-3-3330000-123i3i−3i−3i0000−3i−3i3i3i0000−i−i−i−i2i2i2i2iiiii−2i−2i−2i−2i000000000000000000
χ4944-4-44-40000-21004i−4i-212-1-2-21122-1-1000033-3-3000033-3-32-100003i3i−3i−3i0000−3i−3i3i3i−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i000000000000000000
χ5044-4-44-40000-21004i−4i-212-1-2-21122-1-10000-3-3330000-3-3332-10000−3i−3i3i3i00003i3i−3i−3i−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i000000000000000000
χ5144-4-44-40000-2100−4i4i-212-1-2-21122-1-1000033-3-3000033-3-32-10000−3i−3i3i3i00003i3i−3i−3i2i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii000000000000000000
χ5244-4-44-40000-2100−4i4i-212-1-2-21122-1-10000-3-3330000-3-3332-100003i3i−3i−3i0000−3i−3i3i3i2i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii000000000000000000
χ5344-4-4-4400001-24i−4i001-2-12-1-12211-2-233-3-30000-3-3330000-12iiii−2i−2i−2i−2i−i−i−i−i2i2i2i2i3i3i−3i−3i0000−3i−3i3i3i0000000000000000000000
χ5444-4-4-4400001-24i−4i001-2-12-1-12211-2-2-3-333000033-3-30000-12iiii−2i−2i−2i−2i−i−i−i−i2i2i2i2i−3i−3i3i3i00003i3i−3i−3i0000000000000000000000
χ5544-4-4-4400001-2−4i4i001-2-12-1-12211-2-233-3-30000-3-3330000-12−i−i−i−i2i2i2i2iiiii−2i−2i−2i−2i−3i−3i3i3i00003i3i−3i−3i0000000000000000000000
χ5644-4-4-4400001-2−4i4i001-2-12-1-12211-2-2-3-333000033-3-30000-12−i−i−i−i2i2i2i2iiiii−2i−2i−2i−2i3i3i−3i−3i0000−3i−3i3i3i0000000000000000000000
χ5744-4-4-440000-214i−4i00-212-122-1-1-2-211000033-3-30000-3-3332-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i00003i3i−3i−3i0000−3i−3i3i3i000000000000000000
χ5844-4-4-440000-214i−4i00-212-122-1-1-2-2110000-3-333000033-3-32-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i0000−3i−3i3i3i00003i3i−3i−3i000000000000000000
χ5944-4-4-440000-21−4i4i00-212-122-1-1-2-211000033-3-30000-3-3332-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii0000−3i−3i3i3i00003i3i−3i−3i000000000000000000
χ6044-4-4-440000-21−4i4i00-212-122-1-1-2-2110000-3-333000033-3-32-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii00003i3i−3i−3i0000−3i−3i3i3i000000000000000000
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χ764-44-40000-44-2100002-12-1003-3003-30000-33-332-22-21-11-1-21002i3−2i3i3−i3−i3i3002i3−2i3i3−i3−i3i3−2i32i300i3−i3−i3i3−2i32i300i3−i3−i3i3000000000000000000
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χ784-44-40000-44-2100002-12-100-3300-3300003-33-32-22-21-11-1-212i3−2i300−i3i3−i3i32i3−2i300−i3i3−i3i300−2i32i3i3−i3i3−i300−2i32i3i3−i3i3−i3000000000000000000
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χ804-4-44004-4001-20000-121-23-300-33001-1-112-2-223-3-330000-12−333−3−2323003−3−3323−23003−33−323−2300−33−33−232300000000000000000000
χ814-4-44004-4001-20000-121-2-33003-3001-1-112-2-22-333-30000-123−33−30023−23−33−3300−2323−333−30023−233−3−3300−2323000000000000000000
χ824-4-44004-4001-20000-121-2-33003-3001-1-112-2-22-333-30000-12−33−3300−23233−33−30023−233−3−3300−2323−333−30023−23000000000000000000
χ834-4-44004-400440000-4-444000000004-4-44-444-400000000-4-400000000000000000000000000000000000000000000000000
χ844-4-44004-400-2100002-1-21003-300-33-222-2-111-100003-3-332-123−2300−33−33−2323003−33−3−2323003−3−3323−2300−333−3000000000000000000
χ854-4-44004-400-2100002-1-21003-300-33-222-2-111-100003-3-332-1−2323003−33−323−2300−33−3323−2300−333−3−2323003−3−33000000000000000000
χ864-4-44004-400-2100002-1-2100-33003-3-222-2-111-10000-333-32-10023−233−3−3300−2323−333−30023−23−33−3300−23233−33−3000000000000000000
χ874-4-44004-400-2100002-1-2100-33003-3-222-2-111-10000-333-32-100−2323−333−30023−233−3−3300−23233−33−30023−23−33−33000000000000000000
χ884-4-4400-44001-20000-121-23-300-3300-111-1-222-2-333-30000-123−3−3323−2300−333−3−2323003−33−323−2300−33−33−232300000000000000000000
χ894-4-4400-44001-20000-121-23-300-3300-111-1-222-2-333-30000-12−333−3−2323003−3−3323−2300−33−33−2323003−33−323−2300000000000000000000
χ904-4-4400-44001-20000-121-2-33003-300-111-1-222-23-3-330000-123−33−30023−23−33−3300−23233−3−3300−2323−333−30023−23000000000000000000
χ914-4-4400-44001-20000-121-2-33003-300-111-1-222-23-3-330000-12−33−3300−23233−33−30023−23−333−30023−233−3−3300−2323000000000000000000
χ924-4-4400-4400440000-4-44400000000-444-44-4-4400000000-4-400000000000000000000000000000000000000000000000000
χ934-4-4400-4400-2100002-1-21003-300-332-2-221-1-110000-333-32-123−2300−33−33−2323003−33−323−2300−333−3−2323003−3−33000000000000000000
χ944-4-4400-4400-2100002-1-21003-300-332-2-221-1-110000-333-32-1−2323003−33−323−2300−33−33−2323003−3−3323−2300−333−3000000000000000000
χ954-4-4400-4400-2100002-1-2100-33003-32-2-221-1-1100003-3-332-10023−233−3−3300−2323−333−300−23233−33−30023−23−33−33000000000000000000
χ964-4-4400-4400-2100002-1-2100-33003-32-2-221-1-1100003-3-332-100−2323−333−30023−233−3−330023−23−33−3300−23233−33−3000000000000000000

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