Finite Group Databasebeta

← Group #11866747

Character table — Group #11866747

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222222222224444444444444444444444444444444444444444444444444444444444449999181818181818181818181818181824242424242424244848484848484848
order1222223344446666668888888836666666666612121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242422222244448888888822224444666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ5111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-1
χ6111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11
χ7111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-111-1-111-1-11
χ8111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-1-111-1-111-1
χ91111-1-1111-1-111111111111-1-1-1-11-1-1-1-111-1-1-1-1111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ101111-1-1111-1-111111111111-1-1-1-11-1-1-1-111-1-1-1-1111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ111111-1-1111-1-111111111111-1-1-1-11-1-1-1-111-1-1-1-1111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ121111-1-1111-1-111111111111-1-1-1-11-1-1-1-111-1-1-1-1111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ131111-1-1111-1-11111111-1-1-1-111111-1-1-1-111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-111111-11-1-11-111-11-1-11-11
χ141111-1-1111-1-11111111-1-1-1-111111-1-1-1-111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-11111-11-111-11-1-11-111-11-1
χ151111-1-1111-1-11111111-1-1-1-111111-1-1-1-111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1111111-1-1-1-11-1-11-111-11-1-11-111-1
χ161111-1-1111-1-11111111-1-1-1-111111-1-1-1-111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1111111-1-1-1-1-111-11-1-11-111-11-1-11
χ1722222222-2-2-2-222222200000000222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000222222-2-2-2-2000000000000000000000000
χ1822222222-2-2-2-222222200000000222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-2-2-22222000000000000000000000000
χ192222222-122222-12-12-122222222-122-1-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000022002200-1-100-1-1
χ202222222-122222-12-12-122222222-122-1-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-200-2-200110011
χ212222222-122222-12-12-1-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000000000000002-2002-200-1100-11
χ222222222-122222-12-12-1-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000000000000000000-2200-22001-1001-1
χ23222222-122222-12-12-1222222222-1-1-122-1-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000000022002200-1-100-1-100
χ24222222-122222-12-12-1222222222-1-1-122-1-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000-2-200-2-20011001100
χ25222222-122222-12-12-12-2-2-2-2-2-2-2-2-1-1-122-1-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000000000000000002-2002-200-1100-1100
χ26222222-122222-12-12-12-2-2-2-2-2-2-2-2-1-1-122-1-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111000000000000000000-2200-22001-1001-100
χ272222-2-222-222-2222222000000002-2-2-2-222-2-2-2-22-2-22222-2-22222-2-2-2-2000000000000000000000000000000002222-2-2-2-222000000000000000000000000
χ282222-2-222-222-2222222000000002-2-2-2-222-2-2-2-22-2-22222-2-22222-2-2-2-200000000000000000000000000000000-2-2-2-22222-2-2000000000000000000000000
χ292222-2-22-12-2-222-12-12-12222-2-2-2-2-1-2-211-1-11111-12-1-2-211-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000000000002200-2-200-1-10011
χ302222-2-22-12-2-222-12-12-12222-2-2-2-2-1-2-211-1-11111-12-1-2-211-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000000000000000000-2-20022001100-1-1
χ312222-2-22-12-2-222-12-12-1-2-2-2-22222-1-2-211-1-11111-12-1-2-211-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000002-200-2200-11001-1
χ322222-2-22-12-2-222-12-12-1-2-2-2-22222-1-2-211-1-11111-12-1-2-211-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-22002-2001-100-11
χ332222-2-2-122-2-22-12-12-122222-2-2-2-2-111-2-2-1-11111-1-1211-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000000000000000002200-2-200-1-1001100
χ342222-2-2-122-2-22-12-12-122222-2-2-2-2-111-2-2-1-11111-1-1211-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000000000-2-20022001100-1-100
χ352222-2-2-122-2-22-12-12-12-2-2-2-22222-111-2-2-1-11111-1-1211-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000002-200-2200-11001-100
χ362222-2-2-122-2-22-12-12-12-2-2-2-22222-111-2-2-1-11111-1-1211-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000-22002-2001-100-1100
χ3722-2-2002202i−2i022-2-2-2-222−2−2i2i2−i2−i2200002-20000-2002i−2i2i−2i002i2i−2i−2i000022−2−222−2−22222−2−2−2−2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i222-2-200002i−2i22−2−2i2i2−i2−i20000000000000000
χ3822-2-2002202i−2i022-2-2-2-222−2−2i2i2−i2−i2200002-20000-2002i−2i2i−2i002i2i−2i−2i000022−2−222−2−22222−2−2−2−2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2-2-2220000−2i2i−2−222−i2−i2i2i20000000000000000
χ3922-2-2002202i−2i022-2-2-2-2−2−222−i2−i2i2i2200002-20000-2002i−2i2i−2i002i2i−2i−2i0000−2−222−2−222−2−2−2−22222−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i222-2-200002i−2i−2−222−i2−i2i2i20000000000000000
χ4022-2-2002202i−2i022-2-2-2-2−2−222−i2−i2i2i2200002-20000-2002i−2i2i−2i002i2i−2i−2i0000−2−222−2−222−2−2−2−22222−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2-2-2220000−2i2i22−2−2i2i2−i2−i20000000000000000
χ4122-2-200220−2i2i022-2-2-2-222−2−2−i2−i2i2i2200002-20000-200−2i2i−2i2i00−2i−2i2i2i000022−2−222−2−22222−2−2−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i222-2-20000−2i2i22−2−2−i2−i2i2i20000000000000000
χ4222-2-200220−2i2i022-2-2-2-222−2−2−i2−i2i2i2200002-20000-200−2i2i−2i2i00−2i−2i2i2i000022−2−222−2−22222−2−2−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2-2-22200002i−2i−2−222i2i2−i2−i20000000000000000
χ4322-2-200220−2i2i022-2-2-2-2−2−222i2i2−i2−i2200002-20000-200−2i2i−2i2i00−2i−2i2i2i0000−2−222−2−222−2−2−2−22222i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i222-2-20000−2i2i−2−222i2i2−i2−i20000000000000000
χ4422-2-200220−2i2i022-2-2-2-2−2−222i2i2−i2−i2200002-20000-200−2i2i−2i2i00−2i−2i2i2i0000−2−222−2−222−2−2−2−22222i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2-2-22200002i−2i22−2−2−i2−i2i2i20000000000000000
χ452-22-20022200-2-2-222-2-200002i−2i2i−2i20000-2-200002220000220000-2-2-2-200000000000000002i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2-22-2002-20000002i−2i2i−2i0000000000000000
χ462-22-20022200-2-2-222-2-200002i−2i2i−2i20000-2-200002220000220000-2-2-2-200000000000000002i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i-22-2200-22000000−2i2i−2i2i0000000000000000
χ472-22-20022200-2-2-222-2-20000−2i2i−2i2i20000-2-200002220000220000-2-2-2-20000000000000000−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i2-22-2002-2000000−2i2i−2i2i0000000000000000
χ482-22-20022200-2-2-222-2-20000−2i2i−2i2i20000-2-200002220000220000-2-2-2-20000000000000000−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i-22-2200-220000002i−2i2i−2i0000000000000000
χ492-22-20022-2002-2-222-2-22-22-2000020000-2-200002-2-20000-2-2000022222-22-22-22-222-2-222-2-200000000000000002-22-200-22002-22-200000000000000000000
χ502-22-20022-2002-2-222-2-22-22-2000020000-2-200002-2-20000-2-2000022222-22-22-22-222-2-222-2-20000000000000000-22-22002-200-22-2200000000000000000000
χ512-22-20022-2002-2-222-2-2-22-22000020000-2-200002-2-20000-2-200002222-22-22-22-22-2-222-2-22200000000000000002-22-200-2200-22-2200000000000000000000
χ522-22-20022-2002-2-222-2-2-22-22000020000-2-200002-2-20000-2-200002222-22-22-22-22-2-222-2-2220000000000000000-22-22002-2002-22-200000000000000000000
χ532-2-222-2220000-2-2-2-2222−2−222−2−2222-22-2-2222-2-2-200000000000000002−2−222−2−2222−2−2−2−2222−2−222−2−2222−2−2−2−2222-2-222-200002−2−222−2−220000000000000000
χ542-2-222-2220000-2-2-2-2222−2−222−2−2222-22-2-2222-2-2-200000000000000002−2−222−2−2222−2−2−2−2222−2−222−2−2222−2−2−2−222-222-2-220000−222−2−222−20000000000000000
χ552-2-222-2220000-2-2-2-222−222−2−222−222-22-2-2222-2-2-20000000000000000−222−2−222−2−2−22222−2−2−222−2−222−2−2−22222−2−22-2-222-20000−222−2−222−20000000000000000
χ562-2-222-2220000-2-2-2-222−222−2−222−222-22-2-2222-2-2-20000000000000000−222−2−222−2−2−22222−2−2−222−2−222−2−2−22222−2−2-222-2-2200002−2−222−2−220000000000000000
χ572-2-22-22220000-2-2-2-2222−2−22−222−22-22-22-22-2-222-200000000000000002−2−222−2−2222−2−2−2−222−222−2−222−2−2−22222−2−22-2-22-2200002−2−22−222−20000000000000000
χ582-2-22-22220000-2-2-2-2222−2−22−222−22-22-22-22-2-222-200000000000000002−2−222−2−2222−2−2−2−222−222−2−222−2−2−22222−2−2-222-22-20000−222−22−2−220000000000000000
χ592-2-22-22220000-2-2-2-222−222−22−2−222-22-22-22-2-222-20000000000000000−222−2−222−2−2−22222−2−22−2−222−2−2222−2−2−2−2222-2-22-220000−222−22−2−220000000000000000
χ602-2-22-22220000-2-2-2-222−222−22−2−222-22-22-22-2-222-20000000000000000−222−2−222−2−2−22222−2−22−2−222−2−2222−2−2−2−222-222-22-200002−2−22−222−20000000000000000
χ614444444-2-4-4-4-44-24-24-200000000-244-2-2-2-2-2-2-2-2-2-42-4-422222222-4222000000000000000000000000000000000000000000000000000000000000000000
χ62444444-24-4-4-4-4-24-24-2400000000-2-2-244-2-2-2-2-2-2-22-422-4-42222222-422000000000000000000000000000000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-2444444441-2-2-2-21111111-2-2-2-2-2-2111111-2-211-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-2-4-4-4-4-4-4-4-41-2-2-2-21111111-2-2-2-2-2-2111111-2-21122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-2000000001-2-2-2-21111111222222-1-1-1-1-1-122-1-1000000003i−3i3i−3i3i−3i3i−3i000000003i−3i3i−3i3i−3i3i−3i0000000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-2000000001-2-2-2-21111111222222-1-1-1-1-1-122-1-100000000−3i3i−3i3i−3i3i−3i3i00000000−3i3i−3i3i−3i3i−3i3i0000000000000000000000000000000000
χ674444-4-44-2-444-44-24-24-200000000-2-4-422-2-22222-2-4244-2-222-2-2-2-2-4222000000000000000000000000000000000000000000000000000000000000000000
χ684444-4-4-24-444-4-24-24-2400000000-222-4-4-2-22222-22-4-2-24422-2-2-2-22-422000000000000000000000000000000000000000000000000000000000000000000
χ694444-4-4-2-24-4-44-2-2-2-2-2-24444-4-4-4-41222211-1-1-1-11-2-2222211-1-1-1-1-2-211-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ704444-4-4-2-24-4-44-2-2-2-2-2-2-4-4-4-444441222211-1-1-1-11-2-2222211-1-1-1-1-2-21122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ714444-4-4-2-2-444-4-2-2-2-2-2-2000000001222211-1-1-1-1122-2-2-2-2-1-1111122-1-1000000003i−3i3i−3i3i−3i3i−3i00000000−3i3i−3i3i−3i3i−3i3i0000000000000000000000000000000000
χ724444-4-4-2-2-444-4-2-2-2-2-2-2000000001222211-1-1-1-1122-2-2-2-2-1-1111122-1-100000000−3i3i−3i3i−3i3i−3i3i000000003i−3i3i−3i3i−3i3i−3i0000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.