Finite Group Databasebeta

← Group #11789670

Character table — Group #11789670

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222222222222222222222222244444444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121224242424242424242424242472727272
order12222233444466666666668888121212122424242424242424366666666688121212121212121212121212121224242424242424242424242424242424242424242424242424242424444488881212121212121212242424242424242422446666121212128888
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
χ51111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ911-1-11-111-111-111-1-1-111-1-1-1ii−i−i-1-111iiii−i−i−i−i11-111-1-1-1-11i−i111-1-11111-1-1-1-1-1ii−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−ii−ii−i11-1-1iiii−i−i−i−i1111-1-1-1-11-1i−i11-1-1ii−i−ii−i1-1
χ1011-1-11-111-111-111-1-1-111-1-1-1ii−i−i-1-111iiii−i−i−i−i11-111-1-1-1-11i−i111-1-11111-1-1-1-1-1ii−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−ii−ii−i11-1-1iiii−i−i−i−i1111-1-1-1-1-11−ii-1-111−i−iii−ii-11
χ1111-1-11-111-111-111-1-1-111-1-1-1ii−i−i-1-111iiii−i−i−i−i11-111-1-1-1-11i−i111-1-11111-1-1-1-1-1ii−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−ii−ii-1-111−i−i−i−iiiii-1-1-1-111111-1i−i11-1-1ii−i−i−ii-11
χ1211-1-11-111-111-111-1-1-111-1-1-1ii−i−i-1-111iiii−i−i−i−i11-111-1-1-1-11i−i111-1-11111-1-1-1-1-1ii−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−ii−ii-1-111−i−i−i−iiiii-1-1-1-11111-11−ii-1-111−i−iiii−i1-1
χ1311-1-11-111-111-111-1-1-111-1-1-1−i−iii-1-111−i−i−i−iiiii11-111-1-1-1-11−ii111-1-11111-1-1-1-1-1−i−iii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiii−ii−i-1-111iiii−i−i−i−i-1-1-1-111111-1−ii11-1-1−i−iiii−i-11
χ1411-1-11-111-111-111-1-1-111-1-1-1−i−iii-1-111−i−i−i−iiiii11-111-1-1-1-11−ii111-1-11111-1-1-1-1-1−i−iii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiii−ii−i-1-111iiii−i−i−i−i-1-1-1-11111-11i−i-1-111ii−i−i−ii1-1
χ1511-1-11-111-111-111-1-1-111-1-1-1−i−iii-1-111−i−i−i−iiiii11-111-1-1-1-11−ii111-1-11111-1-1-1-1-1−i−iii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−ii−ii11-1-1−i−i−i−iiiii1111-1-1-1-11-1−ii11-1-1−i−iii−ii1-1
χ1611-1-11-111-111-111-1-1-111-1-1-1−i−iii-1-111−i−i−i−iiiii11-111-1-1-1-11−ii111-1-11111-1-1-1-1-1−i−iii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−ii−ii11-1-1−i−i−i−iiiii1111-1-1-1-1-11i−i-1-111ii−i−ii−i-11
χ1722222222-2-2-2-222222222220000-2-2-2-200000000222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ1822222222-2-2-2-222222222220000-2-2-2-200000000222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ192222222-12222-1-1-1-1-12-122-12222222222222222-122-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-10000
χ202222222-12222-1-1-1-1-12-122-12222222222222222-122-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2111111110000
χ212222222-12222-1-1-1-1-12-122-1-2-2-2-22222-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-1-2-22-1-12-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111111111111100000000000000000000000022-2-2-1-1-1-111110000
χ222222222-12222-1-1-1-1-12-122-1-2-2-2-22222-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-1-2-22-1-12-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111111111111000000000000000000000000-2-2221111-1-1-1-10000
χ23222222-12222222222-12-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-122-12-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ24222222-12222222222-12-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-122-12-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ25222222-12222222222-12-1-12-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-2-2-122-12-1-1-1-1-1-12-1-11111-2-2-2-211111111-2-2-2-2111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ26222222-12222222222-12-1-12-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-2-2-122-12-1-1-1-1-1-12-1-11111-2-2-2-211111111-2-2-2-211111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ27222222-12-2-2-2-222222-12-1-120000111133−3−333−3−3-1-1-1-1-1-1-1-1-1-1001-2-21-2111111-2113−33−300003333−3−3−3−300003333−3−3−3−300002i−2i2i−2i−i3−i3i3i3−i3−i3i3i3−i−iii−i−iii0000000000000000
χ28222222-12-2-2-2-222222-12-1-120000111133−3−333−3−3-1-1-1-1-1-1-1-1-1-1001-2-21-2111111-2113−33−300003333−3−3−3−300003333−3−3−3−30000−2i2i−2i2ii3i3−i3−i3i3i3−i3−i3ii−i−iii−i−i0000000000000000
χ29222222-12-2-2-2-222222-12-1-1200001111−3−333−3−333-1-1-1-1-1-1-1-1-1-1001-2-21-2111111-211−33−330000−3−3−3−333330000−3−3−3−3333300002i−2i2i−2ii3i3−i3−i3i3i3−i3−i3−i−iii−i−iii0000000000000000
χ30222222-12-2-2-2-222222-12-1-1200001111−3−333−3−333-1-1-1-1-1-1-1-1-1-1001-2-21-2111111-211−33−330000−3−3−3−333330000−3−3−3−333330000−2i2i−2i2i−i3−i3i3i3−i3−i3i3i3ii−i−iii−i−i0000000000000000
χ312222-2-22222-2-2-2-22-2-22222222222222222222222-2-2-2-222-2-22-2-2-22-2-2-222-2-2-2-2222-2-2-2-222-2-222-2-222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000
χ322222-2-22222-2-2-2-22-2-222222-2-2-2-22222-2-2-2-2-2-2-2-22-2-2-2-222-2-2222-22-2-2-222-2-2-2-22222222-2-222-2-222-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000
χ332222-2-222-2-222-2-22-2-2222220000-2-2-2-2000000002-2-2-2-222-2-22002-2222-2-22222-2-2-2000000000000000000000000000022-2-200002-22-22-22-2000000000000000000000000
χ342222-2-222-2-222-2-22-2-2222220000-2-2-2-2000000002-2-2-2-222-2-22002-2222-2-22222-2-2-20000000000000000000000000000-2-2220000-22-22-22-22000000000000000000000000
χ352222-2-22-122-2-211-1112-122-12222222222222222-1-2-211-1-111-1-2-2-2-11-21-1-11111-1-1-1-2-2-2-2-1-111-1-111-1-111-1-111-1-111-1-1110000000000000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ362222-2-22-122-2-211-1112-122-12222222222222222-1-2-211-1-111-1-2-2-2-11-21-1-11111-1-1-1-2-2-2-2-1-111-1-111-1-111-1-111-1-111-1-1110000000000000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ372222-2-22-122-2-211-1112-122-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-2-211-1-111-122-2-11-21-1-11111-1-1-1222211-1-111-1-111-1-111-1-111-1-111-1-10000000000000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ382222-2-22-122-2-211-1112-122-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-2-211-1-111-122-2-11-21-1-11111-1-1-1222211-1-111-1-111-1-111-1-111-1-111-1-10000000000000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ392222-2-2-1222-2-2-2-22-2-2-12-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-2-212-21-2-1-111112-1-1111122-2-2-1-111-1-11122-2-2-1-111-1-11100000000−i3i3i3−i3−i3i3i3−i3−i3i3−i3i3−i3i3−i3i30000000000000000
χ402222-2-2-1222-2-2-2-22-2-2-12-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-2-212-21-2-1-111112-1-1111122-2-2-1-111-1-11122-2-2-1-111-1-11100000000i3−i3−i3i3i3−i3−i3i3i3−i3i3−i3i3−i3i3−i30000000000000000
χ412222-2-2-1222-2-2-2-22-2-2-12-1-12-2-2-2-2-1-1-1-111111111-11111-1-111-12212-21-2-1-111112-1-1-1-1-1-1-2-22211-1-111-1-1-2-22211-1-111-1-100000000−i3i3i3−i3−i3i3i3−i3i3−i3i3−i3i3−i3i3−i30000000000000000
χ422222-2-2-1222-2-2-2-22-2-2-12-1-12-2-2-2-2-1-1-1-111111111-11111-1-111-12212-21-2-1-111112-1-1-1-1-1-1-2-22211-1-111-1-1-2-22211-1-111-1-100000000i3−i3−i3i3i3−i3−i3i3−i3i3−i3i3−i3i3−i3i30000000000000000
χ432222-2-2-12-2-222-2-22-2-2-12-1-120000111133−3−333−3−3-11111-1-111-100-1-22-1211-1-1-1-1-211−33−33000033−3−3−3−333000033−3−3−3−33322-2-20000-11-11-11-113−3−333−3−330000000000000000
χ442222-2-2-12-2-222-2-22-2-2-12-1-120000111133−3−333−3−3-11111-1-111-100-1-22-1211-1-1-1-1-211−33−33000033−3−3−3−333000033−3−3−3−333-2-22200001-11-11-11-1−333−3−333−30000000000000000
χ452222-2-2-12-2-222-2-22-2-2-12-1-1200001111−3−333−3−333-11111-1-111-100-1-22-1211-1-1-1-1-2113−33−30000−3−33333−3−30000−3−33333−3−322-2-20000-11-11-11-11−333−3−333−30000000000000000
χ462222-2-2-12-2-222-2-22-2-2-12-1-1200001111−3−333−3−333-11111-1-111-100-1-22-1211-1-1-1-1-2113−33−30000−3−33333−3−30000−3−33333−3−3-2-22200001-11-11-11-13−3−333−3−330000000000000000
χ4722-2-22-2222-2-2222-2-2-222-2-2-2000022-2-20000000022-222-2-2-2-2200-2-2-222-2-2-2-222222000000000000000000000000000000002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ4822-2-22-2222-2-2222-2-2-222-2-2-2000022-2-20000000022-222-2-2-2-2200-2-2-222-2-2-2-22222200000000000000000000000000000000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ4922-2-22-22-1-222-2-1-11112-1-2-212i2i−2i−2i-2-2222i2i2i2i−2i−2i−2i−2i-12-2-1-11111-12i−2i2-1-1-21-1-1-1-1111112i2i−2i−2i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii0000000000000000000000002-22i−2i-1-111−i−iii0000
χ5022-2-22-22-1-222-2-1-11112-1-2-212i2i−2i−2i-2-2222i2i2i2i−2i−2i−2i−2i-12-2-1-11111-12i−2i2-1-1-21-1-1-1-1111112i2i−2i−2i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii000000000000000000000000-22−2i2i11-1-1ii−i−i0000
χ5122-2-22-22-1-222-2-1-11112-1-2-21−2i−2i2i2i-2-222−2i−2i−2i−2i2i2i2i2i-12-2-1-11111-1−2i2i2-1-1-21-1-1-1-111111−2i−2i2i2iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i0000000000000000000000002-2−2i2i-1-111ii−i−i0000
χ5222-2-22-22-1-222-2-1-11112-1-2-21−2i−2i2i2i-2-222−2i−2i−2i−2i2i2i2i2i-12-2-1-11111-1−2i2i2-1-1-21-1-1-1-111111−2i−2i2i2iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i000000000000000000000000-222i−2i11-1-1−i−iii0000
χ5322-2-22-2-122-2-2222-2-2-2-1211-20000-1-111−i3−i3i3i3i3i3−i3−i3-1-11-1-11111-1001-2-2-121111-1-12-1-1−i3i3i3−i30000−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i300002i−2i−2i2i−3−33333−3−3−i−iiiii−i−i0000000000000000
χ5422-2-22-2-122-2-2222-2-2-2-1211-20000-1-111−i3−i3i3i3i3i3−i3−i3-1-11-1-11111-1001-2-2-121111-1-12-1-1−i3i3i3−i30000−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i30000−2i2i2i−2i33−3−3−3−333ii−i−i−i−iii0000000000000000
χ5522-2-22-2-122-2-2222-2-2-2-1211-20000-1-111i3i3−i3−i3−i3−i3i3i3-1-11-1-11111-1001-2-2-121111-1-12-1-1i3−i3−i3i30000i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i300002i−2i−2i2i33−3−3−3−333−i−iiiii−i−i0000000000000000
χ5622-2-22-2-122-2-2222-2-2-2-1211-20000-1-111i3i3−i3−i3−i3−i3i3i3-1-11-1-11111-1001-2-2-121111-1-12-1-1i3−i3−i3i30000i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i30000−2i2i2i−2i−3−33333−3−3ii−i−i−i−iii0000000000000000
χ5722-2-22-2-12-222-222-2-2-2-1211-22i2i−2i−2i11-1-1−i−i−i−iiiii-1-11-1-11111-12i−2i-1221-2-1-1-1-111-211−i−iii2i2i2i2i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiii2i−2i2i−2i22-2-2−i−i−i−iiiii-1-1-1-111110000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.