Finite Group Databasebeta

← Group #10876157

Character table — Group #10876157

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order1222222222223444444446666666666666664444444412121212121212121212121212121212121212121212121244444444121212121212121212121212121212124444444488888888
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
χ51111111111111-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1
χ61111111111111-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111
χ71111111111111-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111
χ81111111111111-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1
χ911111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1
χ1011111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111
χ1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111
χ1211111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111-1-1
χ1311111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ1411111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ1511111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ1611111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ1722222222222222222-2-2-2-2222222222222222-2-222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-222222222222222222-2-222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
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
χ21222222222222-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2-1-1-1-11111-1-1-1-111111111111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ22222222222222-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2-1-1-1-11111-1-1-1-111111111111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ23222222222222-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2221111111111111111-1-1-1-1-1-1-1-12222-2-2-2-211111111-1-1-1-1-1-1-1-10000000000000000
χ24222222222222-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2221111111111111111-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1111111110000000000000000
χ25222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-222-2-21111-1-1-1-11111-1-1-1-11111111100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ26222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-222-2-21111-1-1-1-11111-1-1-1-11111111100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ2722222222-2-2-2-222222-2-2-2-2222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ2822222222-2-2-2-22-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-222222222-2-222-2-2-2-222222222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ2922222222-2-2-2-2-122222222-1-1-111111111-1-1-1-122-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1111122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ3022222222-2-2-2-2-122222222-1-1-111111111-1-1-1-122-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-11111-2-222-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ3122222222-2-2-2-2-12222-2-2-2-2-1-1-111111111-1-1-1-1-2-2-2-22222-1-1-1-111111111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ3222222222-2-2-2-2-12222-2-2-2-2-1-1-111111111-1-1-1-1-2-2-2-22222-1-1-1-111111111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ3322222222-2-2-2-2-1-2-2-2-22222-1-1-111111111-1-1-1-1-2-22222-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1111122-2-2-2-2221111-1-1-1-1-1-1-1-111110000000000000000
χ3422222222-2-2-2-2-1-2-2-2-22222-1-1-111111111-1-1-1-1-2-22222-2-211111111-1-1-1-1-1-1-1-1-1-1-1-11111-2-22222-2-2-1-1-1-111111111-1-1-1-10000000000000000
χ3522222222-2-2-2-2-1-2-2-2-2-2-2-2-2-1-1-111111111-1-1-1-12222-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ3622222222-2-2-2-2-1-2-2-2-2-2-2-2-2-1-1-111111111-1-1-1-12222-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ372222-2-2-2-222-2-2222-2-2000022-22222-2-2-2-22-2-2-2002-2000022-2-2000022-2-2000000000000000000000000000000000000000000002−22−22−22−2
χ382222-2-2-2-222-2-2222-2-2000022-22222-2-2-2-22-2-2-2002-2000022-2-2000022-2-200000000000000000000000000000000000000000000−22−22−22−22
χ392222-2-2-2-222-2-22-2-222000022-22222-2-2-2-22-2-2-200-220000-2-2220000-2-222000000000000000000000000000000000000000000002−22−2−22−22
χ402222-2-2-2-222-2-22-2-222000022-22222-2-2-2-22-2-2-200-220000-2-2220000-2-22200000000000000000000000000000000000000000000−22−222−22−2
χ412222-2-2-2-2-2-222222-2-2000022-2-2-2-2-222222-2-2-200-22000022-2-20000-2-222000000000000000000000000000000000000000000002−2−222−2−22
χ422222-2-2-2-2-2-222222-2-2000022-2-2-2-2-222222-2-2-200-22000022-2-20000-2-22200000000000000000000000000000000000000000000−222−2−222−2
χ432222-2-2-2-2-2-2222-2-222000022-2-2-2-2-222222-2-2-2002-20000-2-222000022-2-2000000000000000000000000000000000000000000002−2−22−222−2
χ442222-2-2-2-2-2-2222-2-222000022-2-2-2-2-222222-2-2-2002-20000-2-222000022-2-200000000000000000000000000000000000000000000−222−22−2−22
χ4522-2-2-222-2000022i−2i2i−2i22-2-22-2200000000-2-2-222i−2i0000002i−2i2i−2i2i2i−2i−2i0000000022-2-20000002-2002i−2i00002i−2i2i−2i00002-22-20000000000000000
χ4622-2-2-222-2000022i−2i2i−2i22-2-22-2200000000-2-2-222i−2i0000002i−2i2i−2i2i2i−2i−2i0000000022-2-2000000-2200−2i2i0000−2i2i−2i2i0000-22-220000000000000000
χ4722-2-2-222-2000022i−2i2i−2i-2-2222-2200000000-2-2-22−2i2i0000002i−2i2i−2i−2i−2i2i2i00000000-2-22200002-2002i−2i002i−2i2i−2i00002-22-200000000000000000000
χ4822-2-2-222-2000022i−2i2i−2i-2-2222-2200000000-2-2-22−2i2i0000002i−2i2i−2i−2i−2i2i2i00000000-2-2220000-2200−2i2i00−2i2i−2i2i0000-22-2200000000000000000000
χ4922-2-2-222-200002−2i2i−2i2i22-2-22-2200000000-2-2-22−2i2i000000−2i2i−2i2i−2i−2i2i2i0000000022-2-20000002-200−2i2i0000−2i2i−2i2i00002-22-20000000000000000
χ5022-2-2-222-200002−2i2i−2i2i22-2-22-2200000000-2-2-22−2i2i000000−2i2i−2i2i−2i−2i2i2i0000000022-2-2000000-22002i−2i00002i−2i2i−2i0000-22-220000000000000000
χ5122-2-2-222-200002−2i2i−2i2i-2-2222-2200000000-2-2-222i−2i000000−2i2i−2i2i2i2i−2i−2i00000000-2-22200002-200−2i2i00−2i2i−2i2i00002-22-200000000000000000000
χ5222-2-2-222-200002−2i2i−2i2i-2-2222-2200000000-2-2-222i−2i000000−2i2i−2i2i2i2i−2i−2i00000000-2-2220000-22002i−2i002i−2i2i−2i0000-22-2200000000000000000000
χ5322-2-2-222-20000-12i−2i2i−2i22-2-2-11-1−i3−i3i3i3−i3−i3i3i3111-12i−2i000000−ii−ii−i−iii3−33−333−3−3-1-111−i3−i3i3i3002-2002i−2i3−3−33−ii−ii−i3i3i3−i3-11-110000000000000000
χ5422-2-2-222-20000-12i−2i2i−2i22-2-2-11-1−i3−i3i3i3−i3−i3i3i3111-12i−2i000000−ii−ii−i−iii3−33−333−3−3-1-111−i3−i3i3i300-2200−2i2i−333−3i−ii−ii3−i3−i3i31-11-10000000000000000
χ5522-2-2-222-20000-12i−2i2i−2i22-2-2-11-1i3i3−i3−i3i3i3−i3−i3111-12i−2i000000−ii−ii−i−iii−33−33−3−333-1-111i3i3−i3−i3002-2002i−2i−333−3−ii−iii3−i3−i3i3-11-110000000000000000
χ5622-2-2-222-20000-12i−2i2i−2i22-2-2-11-1i3i3−i3−i3i3i3−i3−i3111-12i−2i000000−ii−ii−i−iii−33−33−3−333-1-111i3i3−i3−i300-2200−2i2i3−3−33i−ii−i−i3i3i3−i31-11-10000000000000000
χ5722-2-2-222-20000-12i−2i2i−2i-2-222-11-1−i3−i3i3i3−i3−i3i3i3111-1−2i2i000000−ii−iiii−i−i3−33−3−3−33311-1-1i3i3−i3−i32-2002i−2i00−ii−ii3−3−33-11-11−i3i3i3−i30000000000000000
χ5822-2-2-222-20000-12i−2i2i−2i-2-222-11-1−i3−i3i3i3−i3−i3i3i3111-1−2i2i000000−ii−iiii−i−i3−33−3−3−33311-1-1i3i3−i3−i3-2200−2i2i00i−ii−i−333−31-11-1i3−i3−i3i30000000000000000
χ5922-2-2-222-20000-12i−2i2i−2i-2-222-11-1i3i3−i3−i3i3i3−i3−i3111-1−2i2i000000−ii−iiii−i−i−33−3333−3−311-1-1−i3−i3i3i32-2002i−2i00−ii−ii−333−3-11-11i3−i3−i3i30000000000000000
χ6022-2-2-222-20000-12i−2i2i−2i-2-222-11-1i3i3−i3−i3i3i3−i3−i3111-1−2i2i000000−ii−iiii−i−i−33−3333−3−311-1-1−i3−i3i3i3-2200−2i2i00i−ii−i3−3−331-11-1−i3i3i3−i30000000000000000
χ6122-2-2-222-20000-1−2i2i−2i2i22-2-2-11-1−i3−i3i3i3−i3−i3i3i3111-1−2i2i000000i−ii−iii−i−i−33−33−3−333-1-111−i3−i3i3i3002-200−2i2i−333−3i−ii−i−i3i3i3−i3-11-110000000000000000
χ6222-2-2-222-20000-1−2i2i−2i2i22-2-2-11-1−i3−i3i3i3−i3−i3i3i3111-1−2i2i000000i−ii−iii−i−i−33−33−3−333-1-111−i3−i3i3i300-22002i−2i3−3−33−ii−iii3−i3−i3i31-11-10000000000000000
χ6322-2-2-222-20000-1−2i2i−2i2i22-2-2-11-1i3i3−i3−i3i3i3−i3−i3111-1−2i2i000000i−ii−iii−i−i3−33−333−3−3-1-111i3i3−i3−i3002-200−2i2i3−3−33i−ii−ii3−i3−i3i3-11-110000000000000000
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χ6522-2-2-222-20000-1−2i2i−2i2i-2-222-11-1−i3−i3i3i3−i3−i3i3i3111-12i−2i000000i−ii−i−i−iii−33−3333−3−311-1-1i3i3−i3−i32-200−2i2i00i−ii−i−333−3-11-11−i3i3i3−i30000000000000000
χ6622-2-2-222-20000-1−2i2i−2i2i-2-222-11-1−i3−i3i3i3−i3−i3i3i3111-12i−2i000000i−ii−i−i−iii−33−3333−3−311-1-1i3i3−i3−i3-22002i−2i00−ii−ii3−3−331-11-1i3−i3−i3i30000000000000000
χ6722-2-2-222-20000-1−2i2i−2i2i-2-222-11-1i3i3−i3−i3i3i3−i3−i3111-12i−2i000000i−ii−i−i−iii3−33−3−3−33311-1-1−i3−i3i3i32-200−2i2i00i−ii−i3−3−33-11-11i3−i3−i3i30000000000000000
χ6822-2-2-222-20000-1−2i2i−2i2i-2-222-11-1i3i3−i3−i3i3i3−i3−i3111-12i−2i000000i−ii−i−i−iii3−33−3−3−33311-1-1−i3−i3i3i3-22002i−2i00−ii−ii−333−31-11-1−i3i3i3−i30000000000000000
χ692-2-2222-2-22-22-2200002-22-2-2-2-22-22-22-22-222-220000002-200000000000000002-22-22-22-2000000000000000000000000002i−2i002i−2i00000000
χ702-2-2222-2-22-22-2200002-22-2-2-2-22-22-22-22-222-220000002-200000000000000002-22-22-22-200000000000000000000000000−2i2i00−2i2i00000000
χ712-2-2222-2-22-22-220000-22-22-2-2-22-22-22-22-222-22000000-220000000000000000-22-22-22-220000000000000000000000002i−2i002i−2i0000000000
χ722-2-2222-2-22-22-220000-22-22-2-2-22-22-22-22-222-22000000-220000000000000000-22-22-22-22000000000000000000000000−2i2i00−2i2i0000000000
χ732-2-2222-2-2-22-22200002-22-2-2-2-2-22-22-22-2222-22000000-2200000000000000002-22-2-22-22000000000000000000000000002i−2i00−2i2i00000000
χ742-2-2222-2-2-22-22200002-22-2-2-2-2-22-22-22-2222-22000000-2200000000000000002-22-2-22-2200000000000000000000000000−2i2i002i−2i00000000
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χ762-2-2222-2-2-22-2220000-22-22-2-2-2-22-22-22-2222-220000002-20000000000000000-22-222-22-2000000000000000000000000−2i2i002i−2i0000000000
χ774444-4-4-4-444-4-4-244-4-40000-2-22-2-2-2-22222-2222004-40000-2-2220000-2-2220000000000000000000000000000000000000000000000000000
χ784444-4-4-4-444-4-4-2-4-4440000-2-22-2-2-2-22222-222200-44000022-2-2000022-2-20000000000000000000000000000000000000000000000000000
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χ8144-4-44-4-44000044i−4i−4i4i00004-4-400000000-444-4000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000000
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χ974-44-4-44-440000-20000-444-42-22−2i32i32i3−2i3−2i32i32i3−2i322-2-20000000000000000000000002-2-222i3−2i3−2i32i30000000000000000000000000000000000000000
χ984-44-4-44-440000-20000-444-42-222i3−2i3−2i32i32i3−2i3−2i32i322-2-20000000000000000000000002-2-22−2i32i32i3−2i30000000000000000000000000000000000000000
χ994-4-4444-4-44-44-4-200004-44-4222-22-22-22-22-2-22-20000004-40000000000000000-22-22-22-220000000000000000000000000000000000000000
χ1004-4-4444-4-44-44-4-20000-44-44222-22-22-22-22-2-22-2000000-4400000000000000002-22-22-22-20000000000000000000000000000000000000000
χ1014-4-4444-4-4-44-44-200004-44-42222-22-22-22-2-2-22-2000000-440000000000000000-22-222-22-20000000000000000000000000000000000000000
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χ1054-4-44-4-4444-4-44-20000000022-2-22-222-22-2-22-22000000000000−232323−230000−232323−23000000000000000000000000000000000000000000000000
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χ1074-4-44-4-444-444-4-20000000022-22-22-2-22-22-22-2200000000000023−23−23230000−232323−23000000000000000000000000000000000000000000000000
χ1084-4-44-4-444-444-4-20000000022-22-22-2-22-22-22-22000000000000−232323−23000023−23−2323000000000000000000000000000000000000000000000000

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