Finite Group Databasebeta

← Group #10822333

Character table — Group #10822333

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order1222222222223444444446666666666666664444444412121212121212121212121212121212121212121212121244444444121212121212121212121212121212122222444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1
χ911111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ1011111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ1111111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111
χ1211111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ1311111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ1511111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ172222222222222-2-2-2-2-2-2-2-222222222222222222-2-222-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-2222222222222222-2-222-2-222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ19222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ20222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ21222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ22222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ23222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-222-2-2-1-1-1-11111-1-1-1-111111111111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ24222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-222-2-2-1-1-1-11111-1-1-1-111111111111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ25222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-11111111100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ26222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-11111111100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ2722222222-2-2-2-22-2-22222-2-2222-2-2-2-2-2-2-2-2222222-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ2822222222-2-2-2-22-2-22222-2-2222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ2922222222-2-2-2-2-122-2-2-2-222-1-1-111111111-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1111122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ3022222222-2-2-2-2-122-2-2-2-222-1-1-111111111-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-11111-2-222-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ3122222222-2-2-2-2-122-2-2-2-222-1-1-111111111-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-1111122-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ3222222222-2-2-2-2-122-2-2-2-222-1-1-111111111-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-11111-2-22222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ3322222222-2-2-2-2-1-2-22222-2-2-1-1-111111111-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ3422222222-2-2-2-2-1-2-22222-2-2-1-1-111111111-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ3522222222-2-2-2-2-1-2-22222-2-2-1-1-111111111-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-111111111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ3622222222-2-2-2-2-1-2-22222-2-2-1-1-111111111-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-111111111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ37222-2-2-2-2222-2-222222-2-2-2-222-22222-2-2-2-2-2-2-2200000000000000000000000022-2-222-2-22i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ38222-2-2-2-2222-2-222222-2-2-2-222-22222-2-2-2-2-2-2-2200000000000000000000000022-2-222-2-2−2i2i−2i2i0000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ39222-2-2-2-2222-2-22-2-2-2-2222222-22222-2-2-2-2-2-2-22000000000000000000000000-2-222-2-22200002-22-2000000002-22-22-22-20000000000000000
χ40222-2-2-2-2222-2-22-2-2-2-2222222-22222-2-2-2-2-2-2-22000000000000000000000000-2-222-2-2220000-22-2200000000-22-22-22-220000000000000000
χ41222-2-2-2-2222-2-2-12222-2-2-2-2-1-11-1-1-1-11111111-10000000033−3−333−3−333−3−333−3−3-1-111-1-1112i−2i2i−2i0000−ii−ii−ii−ii−i3i3i3−i3−i3i3i3−i30000000000000000
χ42222-2-2-2-2222-2-2-12222-2-2-2-2-1-11-1-1-1-11111111-10000000033−3−333−3−333−3−333−3−3-1-111-1-111−2i2i−2i2i0000i−ii−ii−ii−ii3−i3−i3i3i3−i3−i3i30000000000000000
χ43222-2-2-2-2222-2-2-12222-2-2-2-2-1-11-1-1-1-11111111-100000000−3−333−3−333−3−333−3−333-1-111-1-1112i−2i2i−2i0000−ii−ii−ii−iii3−i3−i3i3i3−i3−i3i30000000000000000
χ44222-2-2-2-2222-2-2-12222-2-2-2-2-1-11-1-1-1-11111111-100000000−3−333−3−333−3−333−3−333-1-111-1-111−2i2i−2i2i0000i−ii−ii−ii−i−i3i3i3−i3−i3i3i3−i30000000000000000
χ45222-2-2-2-2222-2-2-1-2-2-2-22222-1-11-1-1-1-11111111-10000000033−3−3−3−33333−3−3−3−33311-1-111-1-100002-22-23−3−333−3−33-11-11-11-110000000000000000
χ46222-2-2-2-2222-2-2-1-2-2-2-22222-1-11-1-1-1-11111111-10000000033−3−3−3−33333−3−3−3−33311-1-111-1-10000-22-22−333−3−333−31-11-11-11-10000000000000000
χ47222-2-2-2-2222-2-2-1-2-2-2-22222-1-11-1-1-1-11111111-100000000−3−33333−3−3−3−33333−3−311-1-111-1-100002-22-2−333−3−333−3-11-11-11-110000000000000000
χ48222-2-2-2-2222-2-2-1-2-2-2-22222-1-11-1-1-1-11111111-100000000−3−33333−3−3−3−33333−3−311-1-111-1-10000-22-223−3−333−3−331-11-11-11-10000000000000000
χ49222-2-2-2-22-2-222222-2-222-2-222-2-2-2-2-22222-2-2-2200000000000000000000000022-2-2-2-2222i−2i−2i2i00002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ50222-2-2-2-22-2-222222-2-222-2-222-2-2-2-2-22222-2-2-2200000000000000000000000022-2-2-2-222−2i2i2i−2i0000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ51222-2-2-2-22-2-2222-2-222-2-22222-2-2-2-2-22222-2-2-22000000000000000000000000-2-22222-2-200002-2-22000000002-22-2-22-220000000000000000
χ52222-2-2-2-22-2-2222-2-222-2-22222-2-2-2-2-22222-2-2-22000000000000000000000000-2-22222-2-20000-222-200000000-22-222-22-20000000000000000
χ53222-2-2-2-22-2-222-122-2-222-2-2-1-111111-1-1-1-1111-10000000033−3−333−3−3−3−333−3−333-1-11111-1-12i−2i−2i2i0000−ii−iii−ii−i−i3i3i3−i3i3−i3−i3i30000000000000000
χ54222-2-2-2-22-2-222-122-2-222-2-2-1-111111-1-1-1-1111-10000000033−3−333−3−3−3−333−3−333-1-11111-1-1−2i2i2i−2i0000i−ii−i−ii−iii3−i3−i3i3−i3i3i3−i30000000000000000
χ55222-2-2-2-22-2-222-122-2-222-2-2-1-111111-1-1-1-1111-100000000−3−333−3−33333−3−333−3−3-1-11111-1-12i−2i−2i2i0000−ii−iii−ii−ii3−i3−i3i3−i3i3i3−i30000000000000000
χ56222-2-2-2-22-2-222-122-2-222-2-2-1-111111-1-1-1-1111-100000000−3−333−3−33333−3−333−3−3-1-11111-1-1−2i2i2i−2i0000i−ii−i−ii−ii−i3i3i3−i3i3−i3−i3i30000000000000000
χ57222-2-2-2-22-2-222-1-2-222-2-222-1-111111-1-1-1-1111-10000000033−3−3−3−333−3−33333−3−311-1-1-1-11100002-2-223−3−33−333−3-11-111-11-10000000000000000
χ58222-2-2-2-22-2-222-1-2-222-2-222-1-111111-1-1-1-1111-10000000033−3−3−3−333−3−33333−3−311-1-1-1-1110000-222-2−333−33−3−331-11-1-11-110000000000000000
χ59222-2-2-2-22-2-222-1-2-222-2-222-1-111111-1-1-1-1111-100000000−3−33333−3−333−3−3−3−33311-1-1-1-11100002-2-22−333−33−3−33-11-111-11-10000000000000000
χ60222-2-2-2-22-2-222-1-2-222-2-222-1-111111-1-1-1-1111-100000000−3−33333−3−333−3−3−3−33311-1-1-1-1110000-222-23−3−33−333−31-11-1-11-110000000000000000
χ612-2-22-2-2222-22-222-22-22-22-2-2-2222-2-222-2-2-2-2220000000000000000000000002-22-22-22-20000000000000000000000000000000000002-22-2
χ622-2-22-2-2222-22-222-22-22-22-2-2-2222-2-222-2-2-2-2220000000000000000000000002-22-22-22-2000000000000000000000000000000000000-22-22
χ632-2-22-2-2222-22-22-22-22-22-22-2-2222-2-222-2-2-2-222000000000000000000000000-22-22-22-22000000000000000000000000000000002-22-20000
χ642-2-22-2-2222-22-22-22-22-22-22-2-2222-2-222-2-2-2-222000000000000000000000000-22-22-22-2200000000000000000000000000000000-22-220000
χ652-2-22-2-222-22-2222-2-22-222-2-2-22-2-222-2-222-2-2220000000000000000000000002-22-2-22-220000000000000000000000000000000000002-2-22
χ662-2-22-2-222-22-2222-2-22-222-2-2-22-2-222-2-222-2-2220000000000000000000000002-22-2-22-22000000000000000000000000000000000000-222-2
χ672-2-22-2-222-22-222-222-22-2-22-2-22-2-222-2-222-2-222000000000000000000000000-22-222-22-2000000000000000000000000000000002-2-220000
χ682-2-22-2-222-22-222-222-22-2-22-2-22-2-222-2-222-2-222000000000000000000000000-22-222-22-200000000000000000000000000000000-222-20000
χ692-2-2-222-222-2-2222-22-2-22-22-2-2-222-2-2-2-22222-220000000000000000000000002-2-222-2-22000000000000000000000000002-2002-200000000
χ702-2-2-222-222-2-2222-22-2-22-22-2-2-222-2-2-2-22222-220000000000000000000000002-2-222-2-2200000000000000000000000000-2200-2200000000
χ712-2-2-222-222-2-222-22-222-22-2-2-2-222-2-2-2-22222-22000000000000000000000000-222-2-222-20000000000000000000000002-2002-20000000000
χ722-2-2-222-222-2-222-22-222-22-2-2-2-222-2-2-2-22222-22000000000000000000000000-222-2-222-2000000000000000000000000-2200-220000000000
χ732-2-2-222-22-222-222-2-222-2-22-2-2-2-2-22222-2-222-220000000000000000000000002-2-22-222-2000000000000000000000000002-200-2200000000
χ742-2-2-222-22-222-222-2-222-2-22-2-2-2-2-22222-2-222-220000000000000000000000002-2-22-222-200000000000000000000000000-22002-200000000
χ752-2-2-222-22-222-22-222-2-222-2-2-2-2-2-22222-2-222-22000000000000000000000000-222-22-2-220000000000000000000000002-200-220000000000
χ762-2-2-222-22-222-22-222-2-222-2-2-2-2-2-22222-2-222-22000000000000000000000000-222-22-2-22000000000000000000000000-22002-20000000000
χ7744-444-4-4-400004000000004-44000000004-4-4-4004-4000000004-44-400000000000000000000000000000000000000000000000000000000
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χ8044-444-4-4-40000-200000000-22-2−2i32i3−2i32i3−2i32i3−2i32i3-222200-44000000002-22-200002i3−2i32i3−2i3000000000000000000000000000000000000000000000000
χ8144-444-4-4-40000-200000000-22-22i3−2i32i3−2i32i3−2i32i3−2i3-2222004-400000000-22-2200002i3−2i32i3−2i3000000000000000000000000000000000000000000000000
χ8244-444-4-4-40000-200000000-22-22i3−2i32i3−2i32i3−2i32i3−2i3-222200-44000000002-22-20000−2i32i3−2i32i3000000000000000000000000000000000000000000000000
χ8344-4-4-444-400004000000004-4-400000000-444-40000004i−4i0000000000004i−4i−4i4i000000000000000000000000000000000000000000000000
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χ914-444-44-4-40000-2000000002-2-2−2i32i32i3−2i3−2i32i32i3−2i32-2224-4000000-22-220000−2i32i3−2i32i30000000000000000000000000000000000000000000000000000
χ924-444-44-4-40000-2000000002-2-2−2i32i32i3−2i3−2i32i32i3−2i32-222-440000002-22-200002i3−2i32i3−2i30000000000000000000000000000000000000000000000000000
χ934-444-44-4-40000-2000000002-2-22i3−2i3−2i32i32i3−2i3−2i32i32-2224-4000000-22-2200002i3−2i32i3−2i30000000000000000000000000000000000000000000000000000
χ944-444-44-4-40000-2000000002-2-22i3−2i3−2i32i32i3−2i3−2i32i32-222-440000002-22-20000−2i32i3−2i32i30000000000000000000000000000000000000000000000000000
χ954-44-44-44-40000400000000-44-4000000004-44-400004i−4i00000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000
χ964-44-44-44-40000400000000-44-4000000004-44-40000−4i4i0000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000
χ974-44-44-44-40000-2000000002-22−2i32i32i3−2i32i3−2i3−2i32i3-22-2200004i−4i0023−23−23230000−2i2i2i−2i0000000000000000000000000000000000000000000000000000
χ984-44-44-44-40000-2000000002-22−2i32i32i3−2i32i3−2i3−2i32i3-22-220000−4i4i00−232323−2300002i−2i−2i2i0000000000000000000000000000000000000000000000000000
χ994-44-44-44-40000-2000000002-222i3−2i3−2i32i3−2i32i32i3−2i3-22-2200004i−4i00−232323−230000−2i2i2i−2i0000000000000000000000000000000000000000000000000000
χ1004-44-44-44-40000-2000000002-222i3−2i3−2i32i3−2i32i32i3−2i3-22-220000−4i4i0023−23−232300002i−2i−2i2i0000000000000000000000000000000000000000000000000000
χ1014-4-44-4-4444-44-4-24-44-44-44-422-2-2-222-2-22222-2-2000000000000000000000000-22-22-22-220000000000000000000000000000000000000000
χ1024-4-44-4-4444-44-4-2-44-44-44-4422-2-2-222-2-22222-2-20000000000000000000000002-22-22-22-20000000000000000000000000000000000000000
χ1034-4-44-4-444-44-44-24-4-44-444-422-222-2-222-2-222-2-2000000000000000000000000-22-222-22-20000000000000000000000000000000000000000
χ1044-4-44-4-444-44-44-2-444-44-4-4422-222-2-222-2-222-2-20000000000000000000000002-22-2-22-220000000000000000000000000000000000000000
χ1054-4-4-444-444-4-44-24-44-4-44-44222-2-22222-2-2-2-22-2000000000000000000000000-222-2-222-20000000000000000000000000000000000000000
χ1064-4-4-444-444-4-44-2-44-444-44-4222-2-22222-2-2-2-22-20000000000000000000000002-2-222-2-220000000000000000000000000000000000000000
χ1074-4-4-444-44-444-4-24-4-444-4-4422222-2-2-2-222-2-22-2000000000000000000000000-222-22-2-220000000000000000000000000000000000000000
χ1084-4-4-444-44-444-4-2-444-4-444-422222-2-2-2-222-2-22-20000000000000000000000002-2-22-222-20000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).