Finite Group Databasebeta

← Group #13018216

Character table — Group #13018216

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111111122224444444444444444444488888888888888888888888888881010101010101010202020204040404040404040404040404040404040404040
order12222222444444445101010101010102020202020202020224410101010101010102020202020202020202020202020202044444444444422448888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
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χ1011111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-111
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χ1311111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-111
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χ7844-4-4-444-4−4i4i4i−4i0000-111-1-1-111ii−i−i−i−iii0000−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ365−5−55−i5i5i5−i5ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ3800000000000000000000000000000000
χ7944-4-4-444-4−4i4i4i−4i0000-111-1-1-111ii−i−i−i−iii0000ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−555−5i5−i5−i5i5−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ3800000000000000000000000000000000
χ8044-4-4-444-4−4i4i4i−4i0000-111-1-1-111ii−i−i−i−iii0000ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ365−5−55−i5i5i5−i5−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ3800000000000000000000000000000000
χ814-44-44-44-4000000004-44-44-44-40000000000000000000000000000000000004-4-400004000000000000000000000000
χ824-44-44-44-4000000004-44-44-44-4000000000000000000000000000000000000-4440000-4000000000000000000000000
χ834-4-44-4-4440000000044-4-44-4-440000000000000000000000000000000000000004-4-440000000000000000000000000
χ844-4-44-4-4440000000044-4-44-4-44000000000000000000000000000000000000000-444-40000000000000000000000000
χ858-888-88-8-88i8i−8i−8i0000-2-22-222-22−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000000000000000000000
χ868-888-88-8-8−8i−8i8i8i0000-2-22-222-222i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000000000000000000000
χ878-88-88-88-800000000-22-22-22-222i5−2i52i5−2i5−2i52i5−2i52i5000000000000000000000000000000000000000000000000000000000000
χ888-88-88-88-800000000-22-22-22-22−2i52i5−2i52i52i5−2i52i5−2i5000000000000000000000000000000000000000000000000000000000000
χ898-8-88-8-88800000000-2-222-222-225−25−252525−25−2525000000000000000000000000000000000000000000000000000000000000
χ908-8-88-8-88800000000-2-222-222-2−252525−25−252525−25000000000000000000000000000000000000000000000000000000000000
χ918-8-8-888-888-88-80000-22-2-2222-2-2-222-2-222000000000000000000000000000000000000000000000000000000000000
χ928-8-8-888-88-88-880000-22-2-2222-222-2-222-2-2000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.