Finite Group Databasebeta

← Group #10823449

Character table — Group #10823449

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order12222222344444444444466666661212121212121212224444446666121212121212121212121212121212121212121244444444121212121212121212121212121212122222444488888888
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
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1
χ9111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1
χ10111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111
χ11111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111
χ12111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111-1-1
χ13111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ14111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ15111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ16111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ172222222222222-2-2-2-2-2-2-2-22222222222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-2222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ19222222222-2-2-2-22222-2-2-2-22222222-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ20222222222-2-2-2-22222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000
χ2122222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2222222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ2322222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2422222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ2522222222-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ2622222222-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ2722222222-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ2822222222-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ2922222222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ3022222222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ3122222222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-111111111-2-22222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ3222222222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-111111111-2-22222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ3322222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1111122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ3422222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111-2-222-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ3522222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ3622222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ3722-22-2-22-222i2i−2i−2i2i2i−2i−2i22-2-22-22-2-22-22i2i2i2i−2i−2i−2i−2i000000000000000022-2-22i2i−2i−2i0000000000002-22i−2i000000002-22-22i−2i2i−2i0000000000000000
χ3822-22-2-22-222i2i−2i−2i2i2i−2i−2i22-2-22-22-2-22-22i2i2i2i−2i−2i−2i−2i000000000000000022-2-22i2i−2i−2i000000000000-22−2i2i00000000-22-22−2i2i−2i2i0000000000000000
χ3922-22-2-22-222i2i−2i−2i−2i−2i2i2i-2-2222-22-2-22-22i2i2i2i−2i−2i−2i−2i0000000000000000-2-222−2i−2i2i2i000000002-22i−2i00002-22-22i−2i2i−2i000000000000000000000000
χ4022-22-2-22-222i2i−2i−2i−2i−2i2i2i-2-2222-22-2-22-22i2i2i2i−2i−2i−2i−2i0000000000000000-2-222−2i−2i2i2i00000000-22−2i2i0000-22-22−2i2i−2i2i000000000000000000000000
χ4122-22-2-22-22−2i−2i2i2i2i2i−2i−2i-2-2222-22-2-22-2−2i−2i−2i−2i2i2i2i2i0000000000000000-2-2222i2i−2i−2i000000002-2−2i2i00002-22-2−2i2i−2i2i000000000000000000000000
χ4222-22-2-22-22−2i−2i2i2i2i2i−2i−2i-2-2222-22-2-22-2−2i−2i−2i−2i2i2i2i2i0000000000000000-2-2222i2i−2i−2i00000000-222i−2i0000-22-222i−2i2i−2i000000000000000000000000
χ4322-22-2-22-22−2i−2i2i2i−2i−2i2i2i22-2-22-22-2-22-2−2i−2i−2i−2i2i2i2i2i000000000000000022-2-2−2i−2i2i2i0000000000002-2−2i2i000000002-22-2−2i2i−2i2i0000000000000000
χ4422-22-2-22-22−2i−2i2i2i−2i−2i2i2i22-2-22-22-2-22-2−2i−2i−2i−2i2i2i2i2i000000000000000022-2-2−2i−2i2i2i000000000000-222i−2i00000000-22-222i−2i2i−2i0000000000000000
χ4522-22-2-22-2-12i2i−2i−2i2i2i−2i−2i22-2-2-11-111-11−i−i−i−iiiii00000000−i3−i3i3i333−3−3-1-111−i−iii−i3−i3i3i333−3−300002-22i−2i−i3i3i3−i33−3−33-11-11−ii−ii0000000000000000
χ4622-22-2-22-2-12i2i−2i−2i2i2i−2i−2i22-2-2-11-111-11−i−i−i−iiiii00000000−i3−i3i3i333−3−3-1-111−i−iii−i3−i3i3i333−3−30000-22−2i2ii3−i3−i3i3−333−31-11-1i−ii−i0000000000000000
χ4722-22-2-22-2-12i2i−2i−2i2i2i−2i−2i22-2-2-11-111-11−i−i−i−iiiii00000000i3i3−i3−i3−3−333-1-111−i−iiii3i3−i3−i3−3−33300002-22i−2ii3−i3−i3i3−333−3-11-11−ii−ii0000000000000000
χ4822-22-2-22-2-12i2i−2i−2i2i2i−2i−2i22-2-2-11-111-11−i−i−i−iiiii00000000i3i3−i3−i3−3−333-1-111−i−iiii3i3−i3−i3−3−3330000-22−2i2i−i3i3i3−i33−3−331-11-1i−ii−i0000000000000000
χ4922-22-2-22-2-12i2i−2i−2i−2i−2i2i2i-2-222-11-111-11−i−i−i−iiiii00000000−i3−i3i3i333−3−311-1-1ii−i−ii3i3−i3−i3−3−3332-22i−2i0000-11-11−ii−ii−i3i3i3−i33−3−330000000000000000
χ5022-22-2-22-2-12i2i−2i−2i−2i−2i2i2i-2-222-11-111-11−i−i−i−iiiii00000000−i3−i3i3i333−3−311-1-1ii−i−ii3i3−i3−i3−3−333-22−2i2i00001-11-1i−ii−ii3−i3−i3i3−333−30000000000000000
χ5122-22-2-22-2-12i2i−2i−2i−2i−2i2i2i-2-222-11-111-11−i−i−i−iiiii00000000i3i3−i3−i3−3−33311-1-1ii−i−i−i3−i3i3i333−3−32-22i−2i0000-11-11−ii−iii3−i3−i3i3−333−30000000000000000
χ5222-22-2-22-2-12i2i−2i−2i−2i−2i2i2i-2-222-11-111-11−i−i−i−iiiii00000000i3i3−i3−i3−3−33311-1-1ii−i−i−i3−i3i3i333−3−3-22−2i2i00001-11-1i−ii−i−i3i3i3−i33−3−330000000000000000
χ5322-22-2-22-2-1−2i−2i2i2i2i2i−2i−2i-2-222-11-111-11iiii−i−i−i−i00000000−i3−i3i3i3−3−33311-1-1−i−iiii3i3−i3−i333−3−32-2−2i2i0000-11-11i−ii−i−i3i3i3−i3−333−30000000000000000
χ5422-22-2-22-2-1−2i−2i2i2i2i2i−2i−2i-2-222-11-111-11iiii−i−i−i−i00000000−i3−i3i3i3−3−33311-1-1−i−iiii3i3−i3−i333−3−3-222i−2i00001-11-1−ii−iii3−i3−i3i33−3−330000000000000000
χ5522-22-2-22-2-1−2i−2i2i2i2i2i−2i−2i-2-222-11-111-11iiii−i−i−i−i00000000i3i3−i3−i333−3−311-1-1−i−iii−i3−i3i3i3−3−3332-2−2i2i0000-11-11i−ii−ii3−i3−i3i33−3−330000000000000000
χ5622-22-2-22-2-1−2i−2i2i2i2i2i−2i−2i-2-222-11-111-11iiii−i−i−i−i00000000i3i3−i3−i333−3−311-1-1−i−iii−i3−i3i3i3−3−333-222i−2i00001-11-1−ii−ii−i3i3i3−i3−333−30000000000000000
χ5722-22-2-22-2-1−2i−2i2i2i−2i−2i2i2i22-2-2-11-111-11iiii−i−i−i−i00000000−i3−i3i3i3−3−333-1-111ii−i−i−i3−i3i3i3−3−33300002-2−2i2i−i3i3i3−i3−333−3-11-11i−ii−i0000000000000000
χ5822-22-2-22-2-1−2i−2i2i2i−2i−2i2i2i22-2-2-11-111-11iiii−i−i−i−i00000000−i3−i3i3i3−3−333-1-111ii−i−i−i3−i3i3i3−3−3330000-222i−2ii3−i3−i3i33−3−331-11-1−ii−ii0000000000000000
χ5922-22-2-22-2-1−2i−2i2i2i−2i−2i2i2i22-2-2-11-111-11iiii−i−i−i−i00000000i3i3−i3−i333−3−3-1-111ii−i−ii3i3−i3−i333−3−300002-2−2i2ii3−i3−i3i33−3−33-11-11i−ii−i0000000000000000
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χ612-22-22-22-222i−2i2i−2i2i−2i2i−2i2-22-2-22-22-22-22i2i−2i−2i2i2i−2i−2i00000000000000002-22-22i−2i2i−2i000000000000000000000000000000000000000000002-22i−2i
χ622-22-22-22-222i−2i2i−2i2i−2i2i−2i2-22-2-22-22-22-22i2i−2i−2i2i2i−2i−2i00000000000000002-22-22i−2i2i−2i00000000000000000000000000000000000000000000-22−2i2i
χ632-22-22-22-222i−2i2i−2i−2i2i−2i2i-22-22-22-22-22-22i2i−2i−2i2i2i−2i−2i0000000000000000-22-22−2i2i−2i2i00000000000000000000000000000000000000002i−2i2-20000
χ642-22-22-22-222i−2i2i−2i−2i2i−2i2i-22-22-22-22-22-22i2i−2i−2i2i2i−2i−2i0000000000000000-22-22−2i2i−2i2i0000000000000000000000000000000000000000−2i2i-220000
χ652-22-22-22-22−2i2i−2i2i2i−2i2i−2i-22-22-22-22-22-2−2i−2i2i2i−2i−2i2i2i0000000000000000-22-222i−2i2i−2i00000000000000000000000000000000000000002i−2i-220000
χ662-22-22-22-22−2i2i−2i2i2i−2i2i−2i-22-22-22-22-22-2−2i−2i2i2i−2i−2i2i2i0000000000000000-22-222i−2i2i−2i0000000000000000000000000000000000000000−2i2i2-20000
χ672-22-22-22-22−2i2i−2i2i−2i2i−2i2i2-22-2-22-22-22-2−2i−2i2i2i−2i−2i2i2i00000000000000002-22-2−2i2i−2i2i000000000000000000000000000000000000000000002-2−2i2i
χ682-22-22-22-22−2i2i−2i2i−2i2i−2i2i2-22-2-22-22-22-2−2i−2i2i2i−2i−2i2i2i00000000000000002-22-2−2i2i−2i2i00000000000000000000000000000000000000000000-222i−2i
χ692-2-2-2-222222-2-222-2-222-2-22-2-2-2-222222-2-2-2-22200000000000000002-2-222-2-22000000000000000000000000000000002-2002-20000000000
χ702-2-2-2-222222-2-222-2-222-2-22-2-2-2-222222-2-2-2-22200000000000000002-2-222-2-2200000000000000000000000000000000-2200-220000000000
χ712-2-2-2-222222-2-22-222-2-222-2-2-2-2-222222-2-2-2-2220000000000000000-222-2-222-200000000000000000000000000000000002-2002-200000000
χ722-2-2-2-222222-2-22-222-2-222-2-2-2-2-222222-2-2-2-2220000000000000000-222-2-222-20000000000000000000000000000000000-2200-2200000000
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χ80444-4-44-4-4-2000000000000-2-222-222−2i32i3−2i32i3−2i32i3−2i32i300-4400002i3−2i32i3−2i32-22-200000000000000000000000000000000000000000000000000000000
χ81444-4-44-4-4-2000000000000-2-222-2222i3−2i32i3−2i32i3−2i32i3−2i3004-400002i3−2i32i3−2i3-22-2200000000000000000000000000000000000000000000000000000000
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χ894-444-4-4-444000000000000-444-4-4-44000000000000004-4000000000000000000004-44-40000000000000000000000000000000000000000
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χ934-444-4-4-44-20000000000002-2-2222-2−232323−23−232323−230000004-40000000000000000−2323−2323-22-220000000000000000000000000000000000000000
χ944-444-4-4-44-20000000000002-2-2222-2−232323−23−232323−23000000-44000000000000000023−2323−232-22-20000000000000000000000000000000000000000
χ954-44-44-44-4-24i−4i4i−4i4i−4i4i−4i4-44-42-22-22-22−2i−2i2i2i−2i−2i2i2i0000000000000000-22-22−2i2i−2i2i000000000000000000000000000000000000000000000000
χ964-44-44-44-4-24i−4i4i−4i−4i4i−4i4i-44-442-22-22-22−2i−2i2i2i−2i−2i2i2i00000000000000002-22-22i−2i2i−2i000000000000000000000000000000000000000000000000
χ974-44-44-44-4-2−4i4i−4i4i4i−4i4i−4i-44-442-22-22-222i2i−2i−2i2i2i−2i−2i00000000000000002-22-2−2i2i−2i2i000000000000000000000000000000000000000000000000
χ984-44-44-44-4-2−4i4i−4i4i−4i4i−4i4i4-44-42-22-22-222i2i−2i−2i2i2i−2i−2i0000000000000000-22-222i−2i2i−2i000000000000000000000000000000000000000000000000
χ994-4-4444-4-44000000000000-4-4444-4-40000000000004i−4i0000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000
χ1004-4-4444-4-44000000000000-4-4444-4-4000000000000−4i4i000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000
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χ1024-4-4444-4-4-200000000000022-2-2-222−2i32i32i3−2i32i3−2i3−2i32i30000−4i4i0000000000000000002i−2i−2i2i23−23−23230000000000000000000000000000000000000000
χ1034-4-4444-4-4-200000000000022-2-2-2222i3−2i3−2i32i3−2i32i32i3−2i300004i−4i000000000000000000−2i2i2i−2i23−23−23230000000000000000000000000000000000000000
χ1044-4-4444-4-4-200000000000022-2-2-2222i3−2i3−2i32i3−2i32i32i3−2i30000−4i4i0000000000000000002i−2i−2i2i−232323−230000000000000000000000000000000000000000
χ1054-4-4-4-4444-24-4-444-4-444-4-442222-2-2-2-2-22222-2-20000000000000000-222-2-222-2000000000000000000000000000000000000000000000000
χ1064-4-4-4-4444-24-4-44-444-4-444-42222-2-2-2-2-22222-2-200000000000000002-2-222-2-22000000000000000000000000000000000000000000000000
χ1074-4-4-4-4444-2-444-44-4-44-444-42222-2-2-222-2-2-2-22200000000000000002-2-22-222-2000000000000000000000000000000000000000000000000
χ1084-4-4-4-4444-2-444-4-444-44-4-442222-2-2-222-2-2-2-2220000000000000000-222-22-2-22000000000000000000000000000000000000000000000000

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