Finite Group Databasebeta

← Group #11792023

Character table — Group #11792023

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121224242424242424242424242472727272
order122222223344446666666666666612121212121212123666666688881212121212121212121212122424242424242424242424242424242424242424242424242424242424242424224466668888121212122424242424242424444412121212121212124444
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
χ511111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111
χ611111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1
χ711111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-111-1-1
χ811111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-11111-1-111
χ92222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022-2-222220000-2-2-2-2000000000000000000000000
χ102222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-222-2-2-2-200002222000000000000000000000000
χ11222222222-1222222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ12222222222-1222222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111111111110000000000000000
χ13222222222-1222222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-211111111111111112222-1-1-1-1-2-2-2-2-1-1-1-1111111110000000000000000
χ14222222222-1222222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-21111111111111111-2-2-2-2111122221111-1-1-1-1-1-1-1-10000000000000000
χ15222222222-1-2-2-2-222222-1-1-1-1-1-1-12211111111-1-1-1-1-1-1-1-10000-2-2-2111111-2113333−3−3−3−30000000033333333−3−3−3−3−3−3−3−322-2-2-1-1-1-1000011113333−3−3−3−30000000000000000
χ16222222222-1-2-2-2-222222-1-1-1-1-1-1-12211111111-1-1-1-1-1-1-1-10000-2-2-2111111-2113333−3−3−3−30000000033333333−3−3−3−3−3−3−3−3-2-22211110000-1-1-1-1−3−3−3−333330000000000000000
χ17222222222-1-2-2-2-222222-1-1-1-1-1-1-12211111111-1-1-1-1-1-1-1-10000-2-2-2111111-211−3−3−3−3333300000000−3−3−3−3−3−3−3−33333333322-2-2-1-1-1-100001111−3−3−3−333330000000000000000
χ18222222222-1-2-2-2-222222-1-1-1-1-1-1-12211111111-1-1-1-1-1-1-1-10000-2-2-2111111-211−3−3−3−3333300000000−3−3−3−3−3−3−3−333333333-2-22211110000-1-1-1-13333−3−3−3−30000000000000000
χ1922222222-122222-1-1-1-1-12222222-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-10000
χ2022222222-122222-1-1-1-1-12222222-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2111111110000
χ2122222222-122222-1-1-1-1-12222222-1-122222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111100000000000000000000000022-2-2-1-1-1-111110000
χ2222222222-122222-1-1-1-1-12222222-1-122222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111000000000000000000000000-2-2221111-1-1-1-10000
χ232222-2-2-2-2220000222-2-2222-2-2-2-2-2-2000000002222-2-2-2-222−2−200000000000022−2−222−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22-20022-2-222−2−2000022−2−222−2−20000000000000000
χ242222-2-2-2-2220000222-2-2222-2-2-2-2-2-2000000002222-2-2-2-222−2−200000000000022−2−222−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−2-2200-2-222−2−2220000−2−222−2−2220000000000000000
χ252222-2-2-2-2220000222-2-2222-2-2-2-2-2-2000000002222-2-2-2-2−2−222000000000000−2−222−2−222−2−2−2−22222−2−2−2−22222−2−2−2−222222-20022-2-2−2−2220000−2−222−2−2220000000000000000
χ262222-2-2-2-2220000222-2-2222-2-2-2-2-2-2000000002222-2-2-2-2−2−222000000000000−2−222−2−222−2−2−2−22222−2−2−2−22222−2−2−2−22222-2200-2-22222−2−2000022−2−222−2−20000000000000000
χ272222-2-2-2-22-10000222-2-2-1-1-11111-2-233−3−33−33−3-1-1-1-1111122−2−2000333−3−3−303−3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ232222−2−2−2−2ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ232-200-1-11122−2−233−3−3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230000000000000000
χ282222-2-2-2-22-10000222-2-2-1-1-11111-2-233−3−33−33−3-1-1-1-1111122−2−2000333−3−3−303−3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ232222−2−2−2−2ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23-220011-1-1−2−222−3−333−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230000000000000000
χ292222-2-2-2-22-10000222-2-2-1-1-11111-2-233−3−33−33−3-1-1-1-11111−2−222000333−3−3−303−3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−2−2−2−22222−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ232-200-1-111−2−22233−3−3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230000000000000000
χ302222-2-2-2-22-10000222-2-2-1-1-11111-2-233−3−33−33−3-1-1-1-11111−2−222000333−3−3−303−3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−2−2−2−22222−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23-220011-1-122−2−2−3−333ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230000000000000000
χ312222-2-2-2-22-10000222-2-2-1-1-11111-2-2−3−333−33−33-1-1-1-1111122−2−2000−3−3−33330−33ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ72222−2−2−2−2ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ72-200-1-11122−2−2−3−333ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70000000000000000
χ322222-2-2-2-22-10000222-2-2-1-1-11111-2-2−3−333−33−33-1-1-1-1111122−2−2000−3−3−33330−33ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ72222−2−2−2−2ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7-220011-1-1−2−22233−3−3−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70000000000000000
χ332222-2-2-2-22-10000222-2-2-1-1-11111-2-2−3−333−33−33-1-1-1-11111−2−222000−3−3−33330−33−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−2−2−2−22222−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ72-200-1-111−2−222−3−333−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70000000000000000
χ342222-2-2-2-22-10000222-2-2-1-1-11111-2-2−3−333−33−33-1-1-1-11111−2−222000−3−3−33330−33−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−2−2−2−22222−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7-220011-1-122−2−233−3−3ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70000000000000000
χ3522-2-22-2-222222-2-22-2-22-22-2-22-2-22-222222-2-2-2-222-2-22-2-222i−2i2i−2i22-222-222-2-2-2-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ3622-2-22-2-222222-2-22-2-22-22-2-22-2-22-222222-2-2-2-222-2-22-2-22−2i2i−2i2i22-222-222-2-2-2-2−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ3722-2-22-2-2222-2-2222-2-22-22-2-22-2-22-22-2-2-2-2222222-2-22-2-220000-2-22-2-22-2-2222200000000000000000000000000000000000000002-22-200002-22-22-22-20000000000000000
χ3822-2-22-2-2222-2-2222-2-22-22-2-22-2-22-22-2-2-2-2222222-2-22-2-220000-2-22-2-22-2-222220000000000000000000000000000000000000000-22-220000-22-22-22-220000000000000000
χ3922-2-22-2-222-122-2-22-2-22-2-111-111-1-22-1-1-1-11111-1-111-111-12i−2i2i−2i22-2-1-11-1-11-211−ii−ii−ii−ii2i2i−2i−2i2i2i−2i−2i−i−iii−i−iii−i−iii−i−iii0000−i3i3−i3i30000−i3i3−i3i33−33−3−33−330000000000000000
χ4022-2-22-2-222-122-2-22-2-22-2-111-111-1-22-1-1-1-11111-1-111-111-12i−2i2i−2i22-2-1-11-1-11-211−ii−ii−ii−ii2i2i−2i−2i2i2i−2i−2i−i−iii−i−iii−i−iii−i−iii0000i3−i3i3−i30000i3−i3i3−i3−33−333−33−30000000000000000
χ4122-2-22-2-222-122-2-22-2-22-2-111-111-1-22-1-1-1-11111-1-111-111-1−2i2i−2i2i22-2-1-11-1-11-211i−ii−ii−ii−i−2i−2i2i2i−2i−2i2i2iii−i−iii−i−iii−i−iii−i−i0000−i3i3−i3i30000−i3i3−i3i3−33−333−33−30000000000000000
χ4222-2-22-2-222-122-2-22-2-22-2-111-111-1-22-1-1-1-11111-1-111-111-1−2i2i−2i2i22-2-1-11-1-11-211i−ii−ii−ii−i−2i−2i2i2i−2i−2i2i2iii−i−iii−i−iii−i−iii−i−i0000i3−i3i3−i30000i3−i3i3−i33−33−3−33−330000000000000000
χ4322-2-22-2-222-1-2-2222-2-22-2-111-111-1-221111-1-1-1-1-1-111-111-10000-2-2211-111-12-1-1−i3i3−i3i3i3−i3i3−i300000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000−i3i3−i3i32-22-2i3−i3i3−i3-11-11-11-110000000000000000
χ4422-2-22-2-222-1-2-2222-2-22-2-111-111-1-221111-1-1-1-1-1-111-111-10000-2-2211-111-12-1-1−i3i3−i3i3i3−i3i3−i300000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000i3−i3i3−i3-22-22−i3i3−i3i31-11-11-11-10000000000000000
χ4522-2-22-2-222-1-2-2222-2-22-2-111-111-1-221111-1-1-1-1-1-111-111-10000-2-2211-111-12-1-1i3−i3i3−i3−i3i3−i3i300000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000−i3i3−i3i3-22-22i3−i3i3−i31-11-11-11-10000000000000000
χ4622-2-22-2-222-1-2-2222-2-22-2-111-111-1-221111-1-1-1-1-1-111-111-10000-2-2211-111-12-1-1i3−i3i3−i3−i3i3−i3i300000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000i3−i3i3−i32-22-2−i3i3−i3i3-11-11-11-110000000000000000
χ4722-2-22-2-22-1222-2-2-111-112-2-22-2-221-12222-2-2-2-2-1-111-111-12i−2i2i−2i-1-11-1-11-1-111112i−2i2i−2i2i−2i2i−2i−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii000000000000000000000000000033−3−3−i3−i3i3i30000
χ4822-2-22-2-22-1222-2-2-111-112-2-22-2-221-12222-2-2-2-2-1-111-111-12i−2i2i−2i-1-11-1-11-1-111112i−2i2i−2i2i−2i2i−2i−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii0000000000000000000000000000−3−333i3i3−i3−i30000
χ4922-2-22-2-22-1222-2-2-111-112-2-22-2-221-12222-2-2-2-2-1-111-111-1−2i2i−2i2i-1-11-1-11-1-11111−2i2i−2i2i−2i2i−2i2iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i000000000000000000000000000033−3−3i3i3−i3−i30000
χ5022-2-22-2-22-1222-2-2-111-112-2-22-2-221-12222-2-2-2-2-1-111-111-1−2i2i−2i2i-1-11-1-11-1-11111−2i2i−2i2i−2i2i−2i2iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i0000000000000000000000000000−3−333−i3−i3i3i30000
χ5122-2-2-222-22200002-2-2-222-2-2-222-22-20000000022-2-2-222-2−i2i2i2−i2000000000000−i2i2i2−i2−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2002i−2i00002−2−222i−2i−2i2i2−2−222−2−220000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.