Finite Group Databasebeta

← Group #72215027

Character table — Group #72215027

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11222222222224444444444444444444444888888888888888888991212121212121212121212121212121216161616161616161616161616161616161616161818181818181824242424242424242424242424242424242424242424242436363636484848484848484872727272
order122223344446622344666666666121212121212121222666666881212121212121212228888888888888888666666666612122424242424242424222444422448888242424242424242424242424242424242244661212242424242288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ311111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-11-11-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-111-1-1-1-1
χ511111111111111111111111111111111111-1-1111111-1-111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ711111111111111111111111111111111111-1-1111111-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1111111
χ811111111111111111111111111111111111-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-111-1-11111
χ91111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ101111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1111111-1-1-1-1-1-1-1-1111111111-11-1-1-111-1-111
χ121111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-111111111-1-1-1-11111-11-1111-1-1-1-111
χ131111111111111-1-11-1-111111111111111111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ141111111111111-1-11-1-111111111111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ151111111111111-1-11-1-111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-1-1-1-1-111111111-11-1111-1-111-1-1
χ161111111111111-1-11-1-111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-11-1-1-111-1-1-1-111111111-1-1-1-111111-11-1-1-11111-1-1
χ17111-1-111-1-111111-111-111-1-1-1-1-1-11-1-1-1-111111-111-1-11-11-111-1-11-1-111111-1-111-1-111-1-111-1-111-1-11-111-1-11-111-1-111-1-11-1-111-1-111-1-11-11-111-1-111-1-111-1-111-1-11-11-111-1-11-11-11-11-1
χ18111-1-111-1-111111-111-111-1-1-1-1-1-11-1-1-1-111111-111-1-11-11-111-1-11-1-1111-1-111-1-111-1-111-1-11111-1-11-111-1-11-111-1-111-1-11-1-111-1-1-1-111-11-11-1-111-1-111-1-111-1-1111-11-1-1-111-11-111-11-1
χ19111-1-111-1-111111-111-111-1-1-1-1-1-11-1-1-1-111111-111-1-11-11-111-1-11-1-11-1-111-1-111-1-1-1-111-1-11111-1-11-111-1-11-111-1-111-1-1-111-1-1111-1-111-1-1111-1-111-1-1-1-111-1-111-11-111-1-111-1-11-11-11
χ20111-1-111-1-111111-111-111-1-1-1-1-1-11-1-1-1-111111-111-1-11-11-111-1-11-1-11-1-1-1-111-1-11111-1-111-1-111-1-11-111-1-11-111-1-111-1-1-111-1-111-111-1-111-1-1-111-1-11111-1-111-1-1-11-11-111-1-111-1-11-11
χ21111-1-111-1-111111-111-111-1-1-1-1-1-11-1-1-1-11111-1111-1-11-1-1111-1-11-1-111111-1-111-1-111-1-111-1-1-1-1111-1-1-1111-1-1-111-1-1111-1-111-1-1-1-111-11-1111-1-111-1-111-1-111-1-11-11-1-1-111-11-11-11-11
χ22111-1-111-1-111111-111-111-1-1-1-1-1-11-1-1-1-11111-1111-1-11-1-1111-1-11-1-1111-1-111-1-111-1-111-1-111-1-1111-1-1-1111-1-1-111-1-1111-1-111-1-111-1-11-11-1-1-111-1-111-1-111-1-1111-11-111-1-11-11-1-11-11
χ23111-1-111-1-111111-111-111-1-1-1-1-1-11-1-1-1-11111-1111-1-11-1-1111-1-11-1-11-1-111-1-111-1-1-1-111-1-111-1-1111-1-1-1111-1-1-111-1-111-111-1-111-111-1-111-111-1-111-1-1-1-111-1-111-11-11-111-1-111-11-11-1
χ24111-1-111-1-111111-111-111-1-1-1-1-1-11-1-1-1-11111-1111-1-11-1-1111-1-11-1-11-1-1-1-111-1-11111-1-111-1-1-1-1111-1-1-1111-1-1-111-1-111-111-1-1111-1-111-1-11-1-111-1-11111-1-111-1-1-11-111-1-111-1-111-11-1
χ25111-1-111-1-11111-111-1111-1-1-1-1-1-11-1-1-1-111111-1-1-1111-1-11-1-1111-1-111111-1-1-1-11111-1-1-1-11111-1-1-1111-1-1-11-1-111-1-1111-1-111-1-111-1-1-11-1111-1-1-1-11111-1-1-1-111-11-1111-1-1-11-111-1-11
χ26111-1-111-1-11111-111-1111-1-1-1-1-1-11-1-1-1-111111-1-1-1111-1-11-1-1111-1-1111-1-11111-1-1-1-11111-1-111-1-1-1111-1-1-11-1-111-1-1111-1-111-1-1-1-1111-11-1-1-11111-1-1-1-11111-1-1-11-11-1-1111-11-11-1-11
χ27111-1-111-1-11111-111-1111-1-1-1-1-1-11-1-1-1-111111-1-1-1111-1-11-1-1111-1-11-1-111-1-1-1-111-1-11111-1-111-1-1-1111-1-1-11-1-111-1-111-111-1-1111-1-11-111-111-1-1-1-111-1-11111-1-11-11-11-1-11-111-1-111-1
χ28111-1-111-1-11111-111-1111-1-1-1-1-1-11-1-1-1-111111-1-1-1111-1-11-1-1111-1-11-1-1-1-11111-1-111-1-1-1-11111-1-1-1111-1-1-11-1-111-1-111-111-1-111-111-11-1-11-1-11111-1-111-1-1-1-1111-11-1-111-11-1-11-111-1
χ29111-1-111-1-11111-111-1111-1-1-1-1-1-11-1-1-1-11111-11-1-1111-11-1-1-1111-1-111111-1-1-1-11111-1-1-1-111-1-111-11-1-111-1111-1-111-1-11-1-111-1-1-1-1111-11-111-1-1-1-11111-1-1-1-111-11-11-1-1111-11-1-111-1
χ30111-1-111-1-11111-111-1111-1-1-1-1-1-11-1-1-1-11111-11-1-1111-11-1-1-1111-1-1111-1-11111-1-1-1-11111-1-1-1-111-11-1-111-1111-1-111-1-11-1-111-1-111-1-1-11-11-1-11111-1-1-1-11111-1-1-11-1111-1-1-11-11-111-1
χ31111-1-111-1-11111-111-1111-1-1-1-1-1-11-1-1-1-11111-11-1-1111-11-1-1-1111-1-11-1-111-1-1-1-111-1-11111-1-1-1-111-11-1-111-1111-1-111-1-1-111-1-111-111-11-1-1111-1-1-1-111-1-11111-1-11-11-1-111-11-1-111-1-11
χ32111-1-111-1-11111-111-1111-1-1-1-1-1-11-1-1-1-11111-11-1-1111-11-1-1-1111-1-11-1-1-1-11111-1-111-1-1-1-111-1-111-11-1-111-1111-1-111-1-1-111-1-1111-1-11-111-1-1-11111-1-111-1-1-1-1111-11-11-1-11-111-11-1-11
χ332222222-2-2-2-22200200222222222-2-2-2-2-2-2-2-200000022000000-2-2-2-22200002i−2i2i−2i00002i−2i2i−2i00000000000000000000222-2-2-2-20000000000002i−2i2i−2i00002i−2i2i−2i0000000000000000
χ342222222-2-2-2-22200200222222222-2-2-2-2-2-2-2-200000022000000-2-2-2-2220000−2i2i−2i2i0000−2i2i−2i2i00000000000000000000222-2-2-2-2000000000000−2i2i−2i2i0000−2i2i−2i2i0000000000000000
χ352222222-2-2-2-22200200222222222-2-2-2-2-2-2-2-200000022000000-2-2-2-2-2-200002i−2i2i−2i0000−2i2i−2i2i00000000000000000000-2-2-222220000000000002i−2i2i−2i0000−2i2i−2i2i0000000000000000
χ362222222-2-2-2-22200200222222222-2-2-2-2-2-2-2-200000022000000-2-2-2-2-2-20000−2i2i−2i2i00002i−2i2i−2i00000000000000000000-2-2-22222000000000000−2i2i−2i2i00002i−2i2i−2i0000000000000000
χ37222222-122222-122-1222-122-1-1-1-1-122-1-12-12-1222-12-1-1-1222-12-1-1-1-1-10000000000222222222-12-1-1-1-1-1-1-1-1-12-12-1-1-1-1-100000000202002200000000-1-1-1-1-1-1-1-100000-10-100-1-10000
χ38222222-122222-122-1222-122-1-1-1-1-122-1-12-12-1222-12-1-1-1222-12-1-1-1-1-10000000000-2-2-2-2-2-2-2-22-12-1-1-1-1-1-1-1-1-12-12-1-1-1-1-100000000-20-200-2-200000000111111110000010100110000
χ39222222-122222-122-1222-122-1-1-1-1-122-1-12-12-1-2-22-12-1-1-1-2-22-12-1-1-1-1-1000000000022222222-21-21-1-11111-1-1-21-21111100000000-20-200-2-200000000-1-1-1-1-1-1-1-10000010100110000
χ40222222-122222-122-1222-122-1-1-1-1-122-1-12-12-1-2-22-12-1-1-1-2-22-12-1-1-1-1-10000000000-2-2-2-2-2-2-2-2-21-21-1-11111-1-1-21-211111000000002020022000000001111111100000-10-100-1-10000
χ41222222-122222-1-2-2-1-2-22-122-1-1-1-1-122-1-12-12-122-21-21-1-1-2-2-21-21-1-1-1-100000000002222-2-2-2-22-12-111-1-1-1-111-21-2111110000000020200-2-200000000-1-1-1-1111100000-10-100110000
χ42222222-122222-1-2-2-1-2-22-122-1-1-1-1-122-1-12-12-122-21-21-1-1-2-2-21-21-1-1-1-10000000000-2-2-2-222222-12-111-1-1-1-111-21-21111100000000-20-20022000000001111-1-1-1-10000010100-1-10000
χ43222222-122222-1-2-2-1-2-22-122-1-1-1-1-122-1-12-12-1-2-2-21-21-1-122-21-21-1-1-1-100000000002222-2-2-2-2-21-21111111112-12-1-1-1-1-100000000-20-2002200000000-1-1-1-111110000010100-1-10000
χ44222222-122222-1-2-2-1-2-22-122-1-1-1-1-122-1-12-12-1-2-2-21-21-1-122-21-21-1-1-1-10000000000-2-2-2-22222-21-21111111112-12-1-1-1-1-10000000020200-2-2000000001111-1-1-1-100000-10-100110000
χ4522222-122222-1222-122-12-1-122-1-1-1-1-122-12-1222-12-12-1-122-12-12-1-1-1-1002222222200000000-12-12-1-1-1-1-1-1-1-1-12-12-1-1-1-1000000020202200-1-1-1-1-1-1-1-1000000000000-10-10-1-1000000
χ4622222-122222-1222-122-12-1-122-1-1-1-1-122-12-1222-12-12-1-122-12-12-1-1-1-100-2-2-2-2-2-2-2-200000000-12-12-1-1-1-1-1-1-1-1-12-12-1-1-1-10000000-20-20-2-20011111111000000000000101011000000
χ4722222-122222-1222-122-12-1-122-1-1-1-1-122-12-12-2-2-12-12-1-1-2-2-12-12-1-1-1-10022222222000000001-21-2-1-11111-1-11-21-211110000000-20-20-2-200-1-1-1-1-1-1-1-1000000000000101011000000
χ4822222-122222-1222-122-12-1-122-1-1-1-1-122-12-12-2-2-12-12-1-1-2-2-12-12-1-1-1-100-2-2-2-2-2-2-2-2000000001-21-2-1-11111-1-11-21-2111100000002020220011111111000000000000-10-10-1-1000000
χ4922222-122222-12-2-2-1-2-2-12-1-122-1-1-1-1-122-12-12221-21-2-1-1-2-21-21-2-1-1-1-1002222-2-2-2-200000000-12-1211-1-1-1-1111-21-2111100000002020-2-200-1-1-1-11111000000000000-10-1011000000
χ5022222-122222-12-2-2-1-2-2-12-1-122-1-1-1-1-122-12-12221-21-2-1-1-2-21-21-2-1-1-1-100-2-2-2-2222200000000-12-1211-1-1-1-1111-21-211110000000-20-2022001111-1-1-1-10000000000001010-1-1000000
χ5122222-122222-12-2-2-1-2-2-12-1-122-1-1-1-1-122-12-12-2-21-21-2-1-1221-21-2-1-1-1-1002222-2-2-2-2000000001-21-211111111-12-12-1-1-1-10000000-20-202200-1-1-1-111110000000000001010-1-1000000
χ5222222-122222-12-2-2-1-2-2-12-1-122-1-1-1-1-122-12-12-2-21-21-2-1-1221-21-2-1-1-1-100-2-2-2-22222000000001-21-211111111-12-12-1-1-1-100000002020-2-2001111-1-1-1-1000000000000-10-1011000000
χ53222-2-22222-2-2220020022-2-2-2-2-2-222222-2-2-2-20000002-2000000-222-22200002i−2i−2i2i00002i−2i−2i2i000000000000000000002-2-2-2-2220000000000002i−2i−2i2i00002i−2i−2i2i0000000000000000
χ54222-2-22222-2-2220020022-2-2-2-2-2-222222-2-2-2-20000002-2000000-222-2220000−2i2i2i−2i0000−2i2i2i−2i000000000000000000002-2-2-2-222000000000000−2i2i2i−2i0000−2i2i2i−2i0000000000000000
χ55222-2-22222-2-2220020022-2-2-2-2-2-222222-2-2-2-20000002-2000000-222-2-2-200002i−2i−2i2i0000−2i2i2i−2i00000000000000000000-22222-2-20000000000002i−2i−2i2i0000−2i2i2i−2i0000000000000000
χ56222-2-22222-2-2220020022-2-2-2-2-2-222222-2-2-2-20000002-2000000-222-2-2-20000−2i2i2i−2i00002i−2i−2i2i00000000000000000000-22222-2-2000000000000−2i2i2i−2i00002i−2i−2i2i0000000000000000
χ57222-2-22-1-2-2222-12-2-12-22-1-2-21111-1-2-2112-12-12-22-1-21-112-22-1-21-111-1000000000022-2-222-2-22-1-21-11-1-111-112-1-21-1-1110000000020-2002-200000000-1-111-1-11100000-10100-110000
χ58222-2-22-1-2-2222-12-2-12-22-1-2-21111-1-2-2112-12-12-22-1-21-112-22-1-21-111-10000000000-2-222-2-2222-1-21-11-1-111-112-1-21-1-11100000000-20200-220000000011-1-111-1-10000010-1001-10000
χ59222-2-22-1-2-2222-12-2-12-22-1-2-21111-1-2-2112-12-1-222-1-21-11-222-1-21-111-1000000000022-2-222-2-2-212-1-1111-1-1-11-212-111-1-100000000-20200-2200000000-1-111-1-1110000010-1001-10000
χ60222-2-22-1-2-2222-12-2-12-22-1-2-21111-1-2-2112-12-1-222-1-21-11-222-1-21-111-10000000000-2-222-2-222-212-1-1111-1-1-11-212-111-1-10000000020-2002-20000000011-1-111-1-100000-10100-110000
χ61222-2-22-1-2-2222-1-22-1-222-1-2-21111-1-2-2112-12-12-2-212-1-11-22-212-1-111-1000000000022-2-2-2-2222-1-211-1-1-1111-1-212-111-1-10000000020-200-2200000000-1-11111-1-100000-101001-10000
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Here i is the imaginary unit (i² = −1).