Finite Group Databasebeta

← Group #11787648

Character table — Group #11787648

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222444444444444444444444444444444888888888888888812121212121212121212121212121212121212121212121212121212121212121212121224242424242472727272
order12442223344466661212121212123666666668888121212121212121212242424242424242466121224242424242424242424242422446666888888881212121224242424242424242424242424242424246612124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ71111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ911-1-11-1-1111-111111-1-1-1-1-1-111-1-1-1-1111ii−i−i1111-1-1-1-1-1iiii−i−i−i−i-1-111ii−i−iiiii−i−i−i−i1-11-111-1-1ii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1-111-1-1i−i1-1
χ1011-1-11-1-1111-111111-1-1-1-1-1-111-1-1-1-1111ii−i−i1111-1-1-1-1-1iiii−i−i−i−i-1-111ii−i−iiiii−i−i−i−i1-11-111-1-1ii−i−i−i−iii11-1-1−i−i−i−iiiiiiiii−i−i−i−i-11-1-111−ii-11
χ1111-1-11-1-1111-111111-1-1-1-1-1-111-1-1-1-1111ii−i−i1111-1-1-1-1-1iiii−i−i−i−i-1-111ii−i−iiiii−i−i−i−i-11-11-1-111−i−iiiii−i−i-1-111iiii−i−i−i−i−i−i−i−iiiii1-111-1-1−ii-11
χ1211-1-11-1-1111-111111-1-1-1-1-1-111-1-1-1-1111ii−i−i1111-1-1-1-1-1iiii−i−i−i−i-1-111ii−i−iiiii−i−i−i−i-11-11-1-111−i−iii−i−iii-1-111−i−i−i−iiiii−i−i−i−iiiii-11-1-111i−i1-1
χ1311-1-11-1-1111-111111-1-1-1-1-1-111-1-1-1-1111−i−iii1111-1-1-1-1-1−i−i−i−iiiii-1-111−i−iii−i−i−i−iiiii1-11-111-1-1−i−iiiii−i−i11-1-1iiii−i−i−i−i−i−i−i−iiiii-11-1-111i−i-11
χ1411-1-11-1-1111-111111-1-1-1-1-1-111-1-1-1-1111−i−iii1111-1-1-1-1-1−i−i−i−iiiii-1-111−i−iii−i−i−i−iiiii1-11-111-1-1−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii1-111-1-1−ii1-1
χ1511-1-11-1-1111-111111-1-1-1-1-1-111-1-1-1-1111−i−iii1111-1-1-1-1-1−i−i−i−iiiii-1-111−i−iii−i−i−i−iiiii-11-11-1-111ii−i−iii−i−i-1-111iiii−i−i−i−iiiii−i−i−i−i-11-1-111−ii1-1
χ1611-1-11-1-1111-111111-1-1-1-1-1-111-1-1-1-1111−i−iii1111-1-1-1-1-1−i−i−i−iiiii-1-111−i−iii−i−i−i−iiiii-11-11-1-111ii−i−i−i−iii-1-111−i−i−i−iiiiiiiii−i−i−i−i1-111-1-1i−i-11
χ1722222222-1222222-12222-1-1-1-122-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-122220000-1-1-1-100000000-1-1-1-1-1-1-1-10000000000
χ1822222222-1222222-12222-1-1-1-122-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-20000111100000000111111110000000000
χ1922222222-1222222-12222-1-1-1-122-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-1-2-2-2-2111111112222-1-1-1-1-2-2-2-20000-1-1-1-100000000111111110000000000
χ2022222222-1222222-12222-1-1-1-122-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-1-2-2-2-211111111-2-2-2-2111122220000111100000000-1-1-1-1-1-1-1-10000000000
χ212222222-12222-1-1-12-1-1-1-122-12-1-122-1-1-12222-1-1222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022220000-1-1-1-1-1-1-1-10000000022-1-1-1-10000
χ222222222-12222-1-1-12-1-1-1-122-12-1-122-1-1-12222-1-1222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-200001111111100000000-2-211110000
χ232222222-12222-1-1-12-1-1-1-122-12-1-122-1-1-1-2-2-2-2-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111111100000000000022220000-1-1-1-1-1-1-1-100000000-2-211110000
χ242222222-12222-1-1-12-1-1-1-122-12-1-122-1-1-1-2-2-2-2-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111111111000000000000-2-2-2-20000111111110000000022-1-1-1-10000
χ2522222-2-222-22-2222222222222-2-2-2-22222-22-2-2-2-2-22222222-2-222-2-2-2-2-2-22-22-222-2-222-2-20000000000000000000000000000000000000000000000
χ2622222-2-222-22-2222222222222-2-2-2-2222-22-22-2-2-2-222222-2-222-2-222-2-2-2-2-22-22-2-222-2-2220000000000000000000000000000000000000000000000
χ2722222-2-22-1-22-2222-12222-1-1-1-1-2-211-1-1-12-22-2-2-211-1-1-1-1-1-1-111-1-11111112-22-2-1-111-1-1110000−i3i3−i3i300000000−i3i3−i3i300000000−i3−i3i3i3−i3−i3i3i30000000000
χ2822222-2-22-1-22-2222-12222-1-1-1-1-2-211-1-1-12-22-2-2-211-1-1-1-1-1-1-111-1-11111112-22-2-1-111-1-1110000i3−i3i3−i300000000i3−i3i3−i300000000i3i3−i3−i3i3i3−i3−i30000000000
χ2922222-2-22-1-22-2222-12222-1-1-1-1-2-211-1-1-1-22-22-2-211-1-1-1-1-111-1-111-1-11111-22-2211-1-111-1-10000−i3i3−i3i300000000−i3i3−i3i300000000i3i3−i3−i3i3i3−i3−i30000000000
χ3022222-2-22-1-22-2222-12222-1-1-1-1-2-211-1-1-1-22-22-2-211-1-1-1-1-111-1-111-1-11111-22-2211-1-111-1-10000i3−i3i3−i300000000i3−i3i3−i300000000−i3−i3i3i3−i3−i3i3i30000000000
χ3122222-2-2-12-22-2-1-1-12-1-1-1-122-1211-2-2-1-1-12-22-211-2-22-1-1-1-122-2-222-2-21111-11-11-1-111-1-11100000000000000000000−i3−i3i3i3−i3−i3i3i30000000000−i3i3−i3i30000
χ3222222-2-2-12-22-2-1-1-12-1-1-1-122-1211-2-2-1-1-12-22-211-2-22-1-1-1-122-2-222-2-21111-11-11-1-111-1-11100000000000000000000i3i3−i3−i3i3i3−i3−i30000000000i3−i3i3−i30000
χ3322222-2-2-12-22-2-1-1-12-1-1-1-122-1211-2-2-1-1-1-22-2211-2-22-1-1-1-1-2-222-2-22211111-11-111-1-111-1-100000000000000000000−i3−i3i3i3−i3−i3i3i30000000000i3−i3i3−i30000
χ3422222-2-2-12-22-2-1-1-12-1-1-1-122-1211-2-2-1-1-1-22-2211-2-22-1-1-1-1-2-222-2-22211111-11-111-1-111-1-100000000000000000000i3i3−i3−i3i3i3−i3−i30000000000−i3i3−i3i30000
χ352222-22-222-2-22-2-22222-2-2222-22-22-2-2-2200002-22-2-2-2-222000000002-22-20000000000002-2-2222-2-200000000-2-22200000000000000000000000000
χ362222-22-222-2-22-2-22222-2-2222-22-22-2-2-2200002-22-2-2-2-222000000002-22-2000000000000-222-2-2-2220000000022-2-200000000000000000000000000
χ372222-22-22-1-2-22-2-22-122-2-2-1-1-112-2-1111-100002-2-11111-1-1−i3i3−i3i3−i3i3−i3i3-11-110000−i3i3−i3i3−i3i3−i3i32-2-22-1-1110000000011-1-100000000−i3i3−i3i3−i3i3−i3i30000000000
χ382222-22-22-1-2-22-2-22-122-2-2-1-1-112-2-1111-100002-2-11111-1-1−i3i3−i3i3−i3i3−i3i3-11-110000−i3i3−i3i3−i3i3−i3i3-222-211-1-100000000-1-11100000000i3−i3i3−i3i3−i3i3−i30000000000
χ392222-22-22-1-2-22-2-22-122-2-2-1-1-112-2-1111-100002-2-11111-1-1i3−i3i3−i3i3−i3i3−i3-11-110000i3−i3i3−i3i3−i3i3−i32-2-22-1-1110000000011-1-100000000i3−i3i3−i3i3−i3i3−i30000000000
χ402222-22-22-1-2-22-2-22-122-2-2-1-1-112-2-1111-100002-2-11111-1-1i3−i3i3−i3i3−i3i3−i3-11-110000i3−i3i3−i3i3−i3i3−i3-222-211-1-100000000-1-11100000000−i3i3−i3i3−i3i3−i3i30000000000
χ412222-2-22222-2-2-2-22222-2-2222-2-22-22-2-220000-22-22-2-2-22200000000-22-22000000000000000000002-22-200000000000000002-2-222-2-220000000000
χ422222-2-22222-2-2-2-22222-2-2222-2-22-22-2-220000-22-22-2-2-22200000000-22-2200000000000000000000-22-220000000000000000-222-2-222-20000000000
χ432222-2-222-12-2-2-2-22-122-2-2-1-1-11-221-111-10000-221-1111-1-1−i3i3i3−i3−i3i3i3−i31-11-10000−i3i3i3−i3−i3i3i3−i30000−i3i3i3−i32-22-20000i3−i3−i3i300000000-111-1-111-10000000000
χ442222-2-222-12-2-2-2-22-122-2-2-1-1-11-221-111-10000-221-1111-1-1−i3i3i3−i3−i3i3i3−i31-11-10000−i3i3i3−i3−i3i3i3−i30000i3−i3−i3i3-22-220000−i3i3i3−i3000000001-1-111-1-110000000000
χ452222-2-222-12-2-2-2-22-122-2-2-1-1-11-221-111-10000-221-1111-1-1i3−i3−i3i3i3−i3−i3i31-11-10000i3−i3−i3i3i3−i3−i3i30000−i3i3i3−i3-22-220000i3−i3−i3i3000000001-1-111-1-110000000000
χ462222-2-222-12-2-2-2-22-122-2-2-1-1-11-221-111-10000-221-1111-1-1i3−i3−i3i3i3−i3−i3i31-11-10000i3−i3−i3i3i3−i3−i3i30000i3−i3−i3i32-22-20000−i3i3i3−i300000000-111-1-111-10000000000
χ4722-2-222222-2-2-22222-2-2-2-2-2-22222222222i−2i−2i2i-2-2-2-2-2-2-2-2-22i2i−2i−2i−2i−2i2i2i22-2-22i−2i−2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000
χ4822-2-222222-2-2-22222-2-2-2-2-2-2222222222−2i2i2i−2i-2-2-2-2-2-2-2-2-2−2i−2i2i2i2i2i−2i−2i22-2-2−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000
χ4922-2-22222-1-2-2-2222-1-2-2-2-211-1-122-1-1-1-1-12i−2i−2i2i-2-21111111−i−iiiii−i−i-1-1112i−2i−2i2i−i−iiiii−i−i0000−i3i3i3−i300000000−i3i3i3−i30000000033−3−3−3−3330000000000
χ5022-2-22222-1-2-2-2222-1-2-2-2-211-1-122-1-1-1-1-12i−2i−2i2i-2-21111111−i−iiiii−i−i-1-1112i−2i−2i2i−i−iiiii−i−i0000i3−i3−i3i300000000i3−i3−i3i300000000−3−33333−3−30000000000
χ5122-2-22222-1-2-2-2222-1-2-2-2-211-1-122-1-1-1-1-1−2i2i2i−2i-2-21111111ii−i−i−i−iii-1-111−2i2i2i−2iii−i−i−i−iii0000−i3i3i3−i300000000−i3i3i3−i300000000−3−33333−3−30000000000
χ5222-2-22222-1-2-2-2222-1-2-2-2-211-1-122-1-1-1-1-1−2i2i2i−2i-2-21111111ii−i−i−i−iii-1-111−2i2i2i−2iii−i−i−i−iii0000i3−i3−i3i300000000i3−i3−i3i30000000033−3−3−3−3330000000000
χ5322-2-2222-12-2-2-2-1-1-121111-2-2-12-1-122-1-1-12i−2i−2i2i11-2-2-211112i2i−2i−2i−2i−2i2i2i-1-111−iii−i−i−iiiii−i−i0000000000000000000033−3−3−3−3330000000000−i3i3i3−i30000
χ5422-2-2222-12-2-2-2-1-1-121111-2-2-12-1-122-1-1-12i−2i−2i2i11-2-2-211112i2i−2i−2i−2i−2i2i2i-1-111−iii−i−i−iiiii−i−i00000000000000000000−3−33333−3−30000000000i3−i3−i3i30000
χ5522-2-2222-12-2-2-2-1-1-121111-2-2-12-1-122-1-1-1−2i2i2i−2i11-2-2-21111−2i−2i2i2i2i2i−2i−2i-1-111i−i−iiii−i−i−i−iii0000000000000000000033−3−3−3−3330000000000i3−i3−i3i30000
χ5622-2-2222-12-2-2-2-1-1-121111-2-2-12-1-122-1-1-1−2i2i2i−2i11-2-2-21111−2i−2i2i2i2i2i−2i−2i-1-111i−i−iiii−i−i−i−iii00000000000000000000−3−33333−3−30000000000−i3i3i3−i30000
χ5722-2-22-2-22-12-22222-1-2-2-2-211-1-1-2-211-1-1-12i2i−2i−2i22-1-111111−i−i−i−iiiii11-1-12i2i−2i−2i−i−i−i−iiiii2-22-2-1-1112i2i−2i−2i0000-1-11100000000−i−i−i−iiiii0000000000
χ5822-2-22-2-22-12-22222-1-2-2-2-211-1-1-2-211-1-1-12i2i−2i−2i22-1-111111−i−i−i−iiiii11-1-12i2i−2i−2i−i−i−i−iiiii-22-2211-1-1−2i−2i2i2i000011-1-100000000iiii−i−i−i−i0000000000
χ5922-2-22-2-22-12-22222-1-2-2-2-211-1-1-2-211-1-1-1−2i−2i2i2i22-1-111111iiii−i−i−i−i11-1-1−2i−2i2i2iiiii−i−i−i−i2-22-2-1-111−2i−2i2i2i0000-1-11100000000iiii−i−i−i−i0000000000
χ6022-2-22-2-22-12-22222-1-2-2-2-211-1-1-2-211-1-1-1−2i−2i2i2i22-1-111111iiii−i−i−i−i11-1-1−2i−2i2i2iiiii−i−i−i−i-22-2211-1-12i2i−2i−2i000011-1-100000000−i−i−i−iiiii0000000000
χ6122-2-22-2-2-122-22-1-1-121111-2-2-1211-2-2-1-1-12i2i−2i−2i-1-122-211112i2i2i2i−2i−2i−2i−2i11-1-1−i−iii−i−i−i−iiiii0000000000002i2i−2i−2i0000−i−i−i−iiiii000000002-2-1-1110000
χ6222-2-22-2-2-122-22-1-1-121111-2-2-1211-2-2-1-1-12i2i−2i−2i-1-122-211112i2i2i2i−2i−2i−2i−2i11-1-1−i−iii−i−i−i−iiiii000000000000−2i−2i2i2i0000iiii−i−i−i−i00000000-2211-1-10000
χ6322-2-22-2-2-122-22-1-1-121111-2-2-1211-2-2-1-1-1−2i−2i2i2i-1-122-21111−2i−2i−2i−2i2i2i2i2i11-1-1ii−i−iiiii−i−i−i−i0000000000002i2i−2i−2i0000−i−i−i−iiiii00000000-2211-1-10000
χ6422-2-22-2-2-122-22-1-1-121111-2-2-1211-2-2-1-1-1−2i−2i2i2i-1-122-21111−2i−2i−2i−2i2i2i2i2i11-1-1ii−i−iiiii−i−i−i−i000000000000−2i−2i2i2i0000iiii−i−i−i−i000000002-2-1-1110000
χ6522-2-2-22-22222-2-2-222-2-222-2-22-22-22-2-2-220000-22-22222-2-2000000002-2-22000000000000000000002i−2i−2i2i00000000000000002i−2i−2i2i−2i2i2i−2i0000000000
χ6622-2-2-22-22222-2-2-222-2-222-2-22-22-22-2-2-220000-22-22222-2-2000000002-2-2200000000000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i2i−2i−2i2i0000000000
χ6722-2-2-22-22-122-2-2-22-1-2-22211-112-2-1111-10000-221-1-1-1-1113−3−33−333−3-111-100003−3−33−333−30000−i3i3−i3i32i−2i−2i2i0000i3−i3i3−i300000000−iii−ii−i−ii0000000000
χ6822-2-2-22-22-122-2-2-22-1-2-22211-112-2-1111-10000-221-1-1-1-1113−3−33−333−3-111-100003−3−33−333−30000i3−i3i3−i3−2i2i2i−2i0000−i3i3−i3i300000000i−i−ii−iii−i0000000000
χ6922-2-2-22-22-122-2-2-22-1-2-22211-112-2-1111-10000-221-1-1-1-111−333−33−3−33-111-10000−333−33−3−330000−i3i3−i3i3−2i2i2i−2i0000i3−i3i3−i300000000i−i−ii−iii−i0000000000
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χ974-44i−4i0004400000-4-44i−4i004i−4i40000000-4000000000004i−4i0000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13000000000000000000
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χ994-44i−4i000-24000−2i32i32-4−2i2i23−234i−4i-200000−2i32i3200000000023−23−2i2i0000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−2ζ72ζ7−2ζ232ζ232ζ13−2ζ132ζ5−2ζ5000000000000000000
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χ1098-88i−8i0008-400000-848i−8i00−4i4i-40000000400000000000−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88i−8i000-4-4000−4i34i344−4i4i43−43−4i4i2000002i3−2i3-2000000000−23232i−2i0000000000000000000000000000000000000000000000000000000000000000000000
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χ1128-8−8i8i0008-400000-84−8i8i004i−4i-400000004000000000004i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8−8i8i000-4-4000−4i34i3444i−4i−43434i−4i2000002i3−2i3-200000000023−23−2i2i0000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8−8i8i000-4-40004i3−4i3444i−4i43−434i−4i200000−2i32i3-2000000000−2323−2i2i0000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.