Finite Group Databasebeta

← Group #11792563

Character table — Group #11792563

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121224242424242424242424242472727272
order1222222233444466666666666666121212121212121234444666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212128888888824242424242424242424242424242424444412121212121212122222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ92222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2222-2-2222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ102222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-22-2-2222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ11222222222-122222222-1-1-1222-1-1-1-122222222-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-10000
χ12222222222-122222222-1-1-1222-1-1-1-122222222-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2111111110000
χ13222222222-122222222-1-1-1222-1-1-1-122222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000000022-2-2-1-1-1-111110000
χ14222222222-122222222-1-1-1222-1-1-1-122222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000000000000-2-2221111-1-1-1-10000
χ15222222222-1-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-21111111111111111-1-1-1-1-1-1-1-1111111110000000000000000000000000000−i3−i3i3i3−i3−i3i3i30000
χ16222222222-1-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-21111111111111111-1-1-1-1-1-1-1-1111111110000000000000000000000000000i3i3−i3−i3i3i3−i3−i30000
χ17222222222-1-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-1-1-1-1-1-2-2-2-211112222-1-1-1-111111111111111111111-1-1-1-1-1-1-1-10000000000000000000000000000−i3−i3i3i3i3i3−i3−i30000
χ18222222222-1-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-1-1-1-1-1-2-2-2-211112222-1-1-1-111111111111111111111-1-1-1-1-1-1-1-10000000000000000000000000000i3i3−i3−i3−i3−i3i3i30000
χ1922222222-122222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2022222222-122222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ2122222222-122222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-21111-2-2-2-22222-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2222222222-122222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-21111-2-2-2-22222-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ2322222222-12-2-2-2-2-1-1-1-1222-1-1-1222211111111-122-2-2-1-1-1-1-1-1-1-1-1-1-122221111-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-111111111000000003333−3−3−3−33333−3−3−3−30000000000000000
χ2422222222-12-2-2-2-2-1-1-1-1222-1-1-1222211111111-122-2-2-1-1-1-1-1-1-1-1-1-1-122221111-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-11111111100000000−3−3−3−33333−3−3−3−333330000000000000000
χ2522222222-12-2-2-2-2-1-1-1-1222-1-1-1222211111111-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-1-1-1-12222-2-2-2-21111111111111111-1-1-1-1-1-1-1-1000000003333−3−3−3−3−3−3−3−333330000000000000000
χ2622222222-12-2-2-2-2-1-1-1-1222-1-1-1222211111111-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-1-1-1-12222-2-2-2-21111111111111111-1-1-1-1-1-1-1-100000000−3−3−3−333333333−3−3−3−30000000000000000
χ27222-22-2-2-222000022-2-222-22-2-22-2-2-2000000002002-222-2-22-2-20000000022-2-222-2-2000000000000000000002222-2-2-2-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ28222-22-2-2-222000022-2-222-22-2-22-2-2-2000000002002-222-2-22-2-20000000022-2-222-2-2000000000000000000002222-2-2-2-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ29222-22-2-2-222000022-2-222-22-2-22-2-2-200000000200-2222-2-22-2-200000000-2-222-2-22200000000000000000000-2-2-2-22222−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ30222-22-2-2-222000022-2-222-22-2-22-2-2-200000000200-2222-2-22-2-200000000-2-222-2-22200000000000000000000-2-2-2-22222i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ31222-22-2-2-2-120000-1-11122-2-1112-2-2-233−3−333−3−3-1002-2-1-111-11133−3−30000-1-11122-2-200003333−3−3−3−33333−3−3−3−3-1-1-1-11111−i2−i2i2i2−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000000000000
χ32222-22-2-2-2-120000-1-11122-2-1112-2-2-233−3−333−3−3-1002-2-1-111-11133−3−30000-1-11122-2-200003333−3−3−3−33333−3−3−3−3-1-1-1-11111i2i2−i2−i2i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000000000000
χ33222-22-2-2-2-120000-1-11122-2-1112-2-2-233−3−333−3−3-100-22-1-111-111−3−333000011-1-1-2-22200003333−3−3−3−3−3−3−3−333331111-1-1-1-1−i2−i2i2i2i2i2−i2−i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000000000000
χ34222-22-2-2-2-120000-1-11122-2-1112-2-2-233−3−333−3−3-100-22-1-111-111−3−333000011-1-1-2-22200003333−3−3−3−3−3−3−3−333331111-1-1-1-1i2i2−i2−i2−i2−i2i2i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000000000000
χ35222-22-2-2-2-120000-1-11122-2-1112-2-2-2−3−333−3−333-1002-2-1-111-111−3−3330000-1-11122-2-20000−3−3−3−33333−3−3−3−33333-1-1-1-11111−i2−i2i2i2−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000000000000
χ36222-22-2-2-2-120000-1-11122-2-1112-2-2-2−3−333−3−333-1002-2-1-111-111−3−3330000-1-11122-2-20000−3−3−3−33333−3−3−3−33333-1-1-1-11111i2i2−i2−i2i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000000000000
χ37222-22-2-2-2-120000-1-11122-2-1112-2-2-2−3−333−3−333-100-22-1-111-11133−3−3000011-1-1-2-2220000−3−3−3−333333333−3−3−3−31111-1-1-1-1−i2−i2i2i2i2i2−i2−i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000000000000
χ38222-22-2-2-2-120000-1-11122-2-1112-2-2-2−3−333−3−333-100-22-1-111-11133−3−3000011-1-1-2-2220000−3−3−3−333333333−3−3−3−31111-1-1-1-1i2i2−i2−i2−i2−i2i2i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000000000000
χ3922-22-22-2-22200002-22-22-22-22-2-22-2-20000000022-2002-22-2-22-22-22-222-2-20000000000000000000022-2-222-2-200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ4022-22-22-2-22200002-22-22-22-22-2-22-2-20000000022-2002-22-2-22-22-22-222-2-20000000000000000000022-2-222-2-200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ4122-22-22-2-22200002-22-22-22-22-2-22-2-2000000002-22002-22-2-22-2-22-22-2-22200000000000000000000-2-222-2-22200000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ4222-22-22-2-22200002-22-22-22-22-2-22-2-2000000002-22002-22-2-22-2-22-22-2-22200000000000000000000-2-222-2-22200000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ4322-22-22-2-2-120000-11-112-221-11-22-2-23−33−33−33−3-12-200-11-111-11-11-1122-2-23−33−30000000033−3−333−3−3-1-111-1-11133−3−333−3−3−i2i2−i2i2−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ230000000000000000
χ4422-22-22-2-2-120000-11-112-221-11-22-2-23−33−33−33−3-12-200-11-111-11-11-1122-2-23−33−30000000033−3−333−3−3-1-111-1-11133−3−333−3−3i2−i2i2−i2i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ230000000000000000
χ4522-22-22-2-2-120000-11-112-221-11-22-2-23−33−33−33−3-1-2200-11-111-111-11-1-2-222−33−330000000033−3−333−3−311-1-111-1-1−3−333−3−333−i2i2−i2i2i2−i2i2−i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ230000000000000000
χ4622-22-22-2-2-120000-11-112-221-11-22-2-23−33−33−33−3-1-2200-11-111-111-11-1-2-222−33−330000000033−3−333−3−311-1-111-1-1−3−333−3−333i2−i2i2−i2−i2i2−i2i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ230000000000000000
χ4722-22-22-2-2-120000-11-112-221-11-22-2-2−33−33−33−33-12-200-11-111-11-11-1122-2-2−33−3300000000−3−333−3−333-1-111-1-111−3−333−3−333−i2i2−i2i2−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ70000000000000000
χ4822-22-22-2-2-120000-11-112-221-11-22-2-2−33−33−33−33-12-200-11-111-11-11-1122-2-2−33−3300000000−3−333−3−333-1-111-1-111−3−333−3−333i2−i2i2−i2i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ70000000000000000
χ4922-22-22-2-2-120000-11-112-221-11-22-2-2−33−33−33−33-1-2200-11-111-111-11-1-2-2223−33−300000000−3−333−3−33311-1-111-1-133−3−333−3−3−i2i2−i2i2i2−i2i2−i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ70000000000000000
χ5022-22-22-2-2-120000-11-112-221-11-22-2-2−33−33−33−33-1-2200-11-111-111-11-1-2-2223−33−300000000−3−333−3−33311-1-111-1-133−3−333−3−3i2−i2i2−i2−i2i2−i2i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ70000000000000000
χ5122-2-2-2-222222-22-22-2-222-2-2-2-22-2-2222-2-222-2-22200002-2-22-2-22000000000000000022-2-222-2-2-2-22200000000000000002-2-2200002-2-222-2-22000000000000000000000000
χ5222-2-2-2-222222-22-22-2-222-2-2-2-22-2-2222-2-222-2-22200002-2-22-2-22000000000000000022-2-222-2-2-2-2220000000000000000-222-20000-222-2-222-2000000000000000000000000
χ5322-2-2-2-22222-22-222-2-222-2-2-2-22-2-222-222-2-222-2200002-2-22-2-220000000000000000-2-222-2-22222-2-2000000000000000000002-2-22000000002-2-222-2-220000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.