Finite Group Databasebeta

← Group #72260114

Character table — Group #72260114

Order 4800.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size112222244444444444444488888888888888888888888888888810101010101010101010101016161616161616161616161616161616161620202020202020202020202020202020202025254040404040404040404040404040404040405050505050100100100150150150150150150150150150150150150150150150150
order122234655661010121515151530303030551010101010101515151520203030303030303030303030306060606022222244666610101010202030303030303030306060606066661010101012123030303030303030221010101020203030303030303030606060602246666124444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111-1-1-11-111-1-111111111111111111111-1-111-1-11-11111-1-1-1-1-1-111-1-11-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ41111111111111111111111111111111111111111111111111111111-1-1-11-111-1-111111111111111111111-1-111-1-11-11111-1-1-1-1-1-111-1-11-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ51111111111111111111111111111111111111111111111111111-1-1-1111-11-1-111111111111111111111-1-111-1-111-11-1-1-1-11111-1-1-1-111-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ61111111111111111111111111111111111111111111111111111-1-1-1111-11-1-111111111111111111111-1-111-1-111-11-1-1-1-11111-1-1-1-111-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ9111-11-11111-111-1111111111111-1-1111111-1-11111-1-1-1-11111-1-1-1-111-111-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-11111-1-111111111111-11-1-1-111-1-111-1-1-1-1-1-11-1-1111-1-111-1-111-1-111-1-111-1-1
χ10111-11-11111-111-1111111111111-1-1111111-1-11111-1-1-1-11111-1-1-1-111-111-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-11111-1-111111111111-11-1-1-111-1-111-1-1-1-1-1-11-1-1111-1-1-1-111-1-111-1-111-1-111
χ11111-11-11111-111-1111111111111-1-1111111-1-11111-1-1-1-11111-1-1-1-111-1-1-11-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-111111-1-1-1-1-1-11-1-11-1111-1-1-1-111-1-111-111-1-1-111ii−i−iii−i−i−i−iii−i−iii
χ12111-11-11111-111-1111111111111-1-1111111-1-11111-1-1-1-11111-1-1-1-111-1-1-11-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-111111-1-1-1-1-1-11-1-11-1111-1-1-1-111-1-111-111-1-1-111−i−iii−i−iiiii−i−iii−i−i
χ13111-11-11111-111-1111111111111-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1111-11-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-11111-1-1-111-11-1-1-11111-1-111-1-1-111-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ14111-11-11111-111-1111111111111-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1111-11-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-11111-1-1-111-11-1-1-11111-1-111-1-1-111-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ15111-11-11111-111-1111111111111-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-1-1-1-1-1-1-111-11-1111-1-111-1-11111111-1-1111-1-111-1-1-1-111-1-11111-1-1
χ16111-11-11111-111-1111111111111-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-1-1-1-1-1-1-111-11-1111-1-111-1-11111111-1-1111-1-1-1-11111-1-111-1-1-1-111
χ1711-111-1111-1111-11111111111-1-111111111-1-1-1-1-1-111111111-1-1-1-11-111-11-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-11-111111-1-11111111111-11-11-1-1-1-111-1-111-1-1-1-1-11-111-11-11-11-11-11-11-11-11-11-1
χ1811-111-1111-1111-11111111111-1-111111111-1-1-1-1-1-111111111-1-1-1-11-111-11-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-11-111111-1-11111111111-11-11-1-1-1-111-1-111-1-1-1-1-11-111-11-1-11-11-11-11-11-11-11-11
χ1911-111-1111-1111-11111111111-1-111111111-1-1-1-1-1-111111111-1-1-1-11-11-11-1-1111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111-111-1-1-111111-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1111-11-1-11-11i−ii−ii−ii−i−ii−ii−ii−ii
χ2011-111-1111-1111-11111111111-1-111111111-1-1-1-1-1-111111111-1-1-1-11-11-11-1-1111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111-111-1-1-111111-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1111-11-1-11-11−ii−ii−ii−iii−ii−ii−ii−i
χ2111-111-1111-1111-11111111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-11-11-111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11-1-11-1-1111-1-1-1-1-11111-1-11-1-111-111-1-1-1-11111-1-11-11-1-11-11i−ii−i−ii−iii−ii−i−ii−ii
χ2211-111-1111-1111-11111111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-11-11-111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11-1-11-1-1111-1-1-1-1-11111-1-11-1-111-111-1-1-1-11111-1-11-11-1-11-11−ii−iii−ii−i−ii−iii−ii−i
χ2311-111-1111-1111-11111111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-11-1-11-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-111-1-1-1-1-1-1-1-1111-11-11111-1-111-1-11111-11-111-11-11-11-1-11-11-11-111-11-1
χ2411-111-1111-1111-11111111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-11-1-11-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-111-1-1-1-1-1-1-1-1111-11-11111-1-111-1-11111-11-111-11-1-11-111-11-11-11-1-11-11
χ2511-1-111111-1-11111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-11-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111-1-111-1-111-1-111-1-111-1-11
χ2611-1-111111-1-11111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-11-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111-1-11-111-1-111-1-111-1-111-1
χ2711-1-111111-1-11111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1111-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1111111-1-111-1-1-111-1i−i−iii−i−ii−iii−i−iii−i
χ2811-1-111111-1-11111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1111-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1111111-1-111-1-1-111-1−iii−i−iii−ii−i−iii−i−ii
χ2911-1-111111-1-11111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1111-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-1-1-1-11111-1-111-1-1-111111-1-1-1-1-1-11111-1-1-111-1i−i−ii−iii−ii−i−ii−iii−i
χ3011-1-111111-1-11111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1111-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-1-1-1-11111-1-111-1-1-111111-1-1-1-1-1-11111-1-1-111-1−iii−ii−i−ii−iii−ii−i−ii
χ3111-1-111111-1-11111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111-1-111-1-11-111-1-111-11-1-11
χ3211-1-111111-1-11111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111-1-11-111-11-1-111-1-11-111-1
χ332222-12-122-1-122-1-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-10000000000000000
χ342222-12-122-1-122-1-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-2-2-22-2-1-111222222-1-1-1-1-1-1-1-1-1-1-1-1-1-11122-2-2-11-1-1-1-11111-2-222-2-22-2-1-1-1-11111-1-111-2-2-2111110000000000000000
χ352222-12-122-1-122-1-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2222-2211-1-1222222-1-1-1-1-1-1-1-1-1-1-1-111-1-1-2-2221-11111-1-1-1-1-2-2-2-222-221111-1-1-1-111-1-1-2-2-2111110000000000000000
χ362222-12-122-1-122-1-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111222222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111122-2-2-2-2-2-2111111111111222-1-1-1-1-10000000000000000
χ37222-2-1-2-122-11221-1-1-1-1-1-1-1-12222-2-222-1-1-1-1-2-2-1-1-1-11111-1-1-1-1111122-222-2-2-2-1-1-1-122-2-2-2-2-1-1-1-111111111-11-11222211-1-1-1-1-1-1-1-1222-22-2-2-2-1-111-1-11111112-2-2-1-1-1110000000000000000
χ38222-2-1-2-122-11221-1-1-1-1-1-1-1-12222-2-222-1-1-1-1-2-2-1-1-1-11111-1-1-1-1111122-2-2-22-22-1-11122-2-2-2-2-1-1-1-111111111-111-122-2-21-1-1-1-1-11111-2-22-2-22-22-1-11111-1-111-1-1-222111-1-10000000000000000
χ39222-2-1-2-122-11221-1-1-1-1-1-1-1-12222-2-222-1-1-1-1-2-2-1-1-1-11111-1-1-1-11111-2-2222-22-211-1-122-2-2-2-2-1-1-1-1111111111-1-11-2-222-111111-1-1-1-1-2-2-222-22-211-1-1-1-111-1-111-222111-1-10000000000000000
χ40222-2-1-2-122-11221-1-1-1-1-1-1-1-12222-2-222-1-1-1-1-2-2-1-1-1-11111-1-1-1-11111-2-22-2-2222111122-2-2-2-2-1-1-1-1111111111-11-1-2-2-2-2-1-11111111122-22-222211-1-111-1-1-1-1-1-12-2-2-1-1-1110000000000000000
χ4122-22-1-2-1221-1221-1-1-1-1-1-1-1-122-2-22222-1-1-1-1-2-21111-1-1-1-1-1-1-1-111112-222-22-2-2-1-1-1-1-2-222-2-21111-1-1-1-111111-11-1222211-1-1-1-1-1-1-1-122-22-22-2-211-1-111-1-11111-22-2-1-11-110000000000000000
χ4222-22-1-2-1221-1221-1-1-1-1-1-1-1-122-2-22222-1-1-1-1-2-21111-1-1-1-1-1-1-1-111112-22-22-2-22-1-111-2-222-2-21111-1-1-1-111111-1-1122-2-21-1-1-1-1-11111-2-2-222-2-2211-1-1-1-11111-1-12-2211-11-10000000000000000
χ4322-22-1-2-1221-1221-1-1-1-1-1-1-1-122-2-22222-1-1-1-1-2-21111-1-1-1-1-1-1-1-11111-22-22-222-211-1-1-2-222-2-21111-1-1-1-11111-111-1-2-222-111111-1-1-1-1-2-22-2-222-2-1-11111-1-1-1-1112-2211-11-10000000000000000
χ4422-22-1-2-1221-1221-1-1-1-1-1-1-1-122-2-22222-1-1-1-1-2-21111-1-1-1-1-1-1-1-11111-22-2-22-2221111-2-222-2-21111-1-1-1-11111-11-11-2-2-2-2-1-111111111222-22-222-1-111-1-111-1-1-1-1-22-2-1-11-110000000000000000
χ4522-2-2-12-1221122-1-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-12211111111-1-1-1-1-1-1-1-12-2-22-2-222-1-1-1-1-2-2-2-22211111111-1-1-1-111112222-1-1-1-1-1-1-1-1-1-122-2-2-2-22211111111-1-1-1-1-2-22-1-111-10000000000000000
χ4622-2-2-12-1221122-1-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-12211111111-1-1-1-1-1-1-1-12-2-2-2222-2-1-111-2-2-2-22211111111-1-1-1-111-1-122-2-2-11-1-1-1-11111-2-2-2-2222-21111-1-1-1-1-1-11122-211-1-110000000000000000
χ4722-2-2-12-1221122-1-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-12211111111-1-1-1-1-1-1-1-1-2222-2-2-2211-1-1-2-2-2-22211111111-1-1-1-1-1-111-2-2221-11111-1-1-1-1-2-222-2-2-22-1-1-1-1111111-1-122-211-1-110000000000000000
χ4822-2-2-12-1221122-1-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-12211111111-1-1-1-1-1-1-1-1-222-222-2-21111-2-2-2-22211111111-1-1-1-1-1-1-1-1-2-2-2-21111111111222222-2-2-1-1-1-1-1-1-1-11111-2-22-1-111-10000000000000000
χ4944444444-1444-1444-1-144-1-1-1-14-14-1-1-1-1-1-1-14-144-1-144-1-1-1-1-1-144-1-1000444040044-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1004400-1-1040000-1-1-1-10000-1-10-10000-1-1-1-100-1-1000000000000000000000000
χ5044444444-1444-1444-1-144-1-1-1-14-14-1-1-1-1-1-1-14-144-1-144-1-1-1-1-1-144-1-1000-4-4-40-400-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-4-400110-40000111100001101000011110011000000000000000000000000
χ514444444-1444-144-1-144-1-144-1-1-14-14-1-1-1-1-1-1-14-1-144-1-144-1-1-1-1-1-144444000404400-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14400-1-10040-1-1-1-1000000-1-100-10-1-1-1-10000-1-100000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.