Finite Group Databasebeta

← Group #10823401

Character table — Group #10823401

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111111111111122222222222222222222222244444444444444444444444444444444888888888888888888888888121212121212121212121212121212122424242424242424
order122222224444444434444444466666661212121212121212888888881212121212121212242424242424242424242424242424244444444412121212121212121212121212121212224444448888888822444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ911111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1011111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ1111111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1211111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1311111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ1411111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111
χ1511111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ1611111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1
χ1722222222222222222-2-2-2-2-2-2-2-222222222222222200000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000022-2-2-2-2220000000000000000
χ1822222222222222222-2-2-2-2-2-2-2-222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-22222-2-20000000000000000
χ192222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ202222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ212222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ222222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ2322222222-2-2-2-2-2-2-2-222222-2-2-2-22222222-2-2-2-2-2-2-2-200000000-2-22222-2-2000000000000000000000000000000000000000022-2-222-2-20000000000000000
χ2422222222-2-2-2-2-2-2-2-222222-2-2-2-22222222-2-2-2-2-2-2-2-200000000-2-22222-2-20000000000000000000000000000000000000000-2-222-2-2220000000000000000
χ2522222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-1111111112222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ2622222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-1111111112222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
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χ3922-2-22-22-22i2i−2i−2i2i2i−2i−2i2−2i−2i2i2i-22-222-22-2-2-222i2i−2i−2i2i2i−2i−2i00000000-22−2i−2i2i2i-2200000000000000000000000000000000000000000000000000000000002i−2i2-200
χ4022-2-22-22-22i2i−2i−2i2i2i−2i−2i2−2i−2i2i2i-22-222-22-2-2-222i2i−2i−2i2i2i−2i−2i00000000-22−2i−2i2i2i-220000000000000000000000000000000000000000000000000000000000−2i2i-2200
χ4122-2-22-22-22i2i−2i−2i2i2i−2i−2i-12i2i−2i−2i2-22-2-11-1111-1−i−iii−i−iii00000000-11−i−iii-11−i3−i3i3i3−i3−i3i3i333−3−333−3−300002i−2i2-233−3−3−i3−i3i3i3−i−iii-1-111000000000000000000000000
χ4222-2-22-22-22i2i−2i−2i2i2i−2i−2i-12i2i−2i−2i2-22-2-11-1111-1−i−iii−i−iii00000000-11−i−iii-11−i3−i3i3i3−i3−i3i3i333−3−333−3−30000−2i2i-22−3−333i3i3−i3−i3ii−i−i11-1-1000000000000000000000000
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χ4422-2-22-22-22i2i−2i−2i2i2i−2i−2i-12i2i−2i−2i2-22-2-11-1111-1−i−iii−i−iii00000000-11−i−iii-11i3i3−i3−i3i3i3−i3−i3−3−333−3−3330000−2i2i-2233−3−3−i3−i3i3i3ii−i−i11-1-1000000000000000000000000
χ4522-2-22-22-2−2i−2i2i2i−2i−2i2i2i22i2i−2i−2i-22-222-22-2-2-22−2i−2i2i2i−2i−2i2i2i00000000-222i2i−2i−2i-2200000000000000000000000000000000000000000000000000000000002i−2i-2200
χ4622-2-22-22-2−2i−2i2i2i−2i−2i2i2i22i2i−2i−2i-22-222-22-2-2-22−2i−2i2i2i−2i−2i2i2i00000000-222i2i−2i−2i-220000000000000000000000000000000000000000000000000000000000−2i2i2-200
χ4722-2-22-22-2−2i−2i2i2i−2i−2i2i2i2−2i−2i2i2i2-22-22-22-2-2-22−2i−2i2i2i−2i−2i2i2i000000002-2−2i−2i2i2i2-2000000000000000000002i−2i-22000000002i2i−2i−2i-2-222000000000000000000000000
χ4822-2-22-22-2−2i−2i2i2i−2i−2i2i2i2−2i−2i2i2i2-22-22-22-2-2-22−2i−2i2i2i−2i−2i2i2i000000002-2−2i−2i2i2i2-200000000000000000000−2i2i2-200000000−2i−2i2i2i22-2-2000000000000000000000000
χ4922-2-22-22-2−2i−2i2i2i−2i−2i2i2i-1−2i−2i2i2i2-22-2-11-1111-1ii−i−iii−i−i00000000-11ii−i−i-11−i3−i3i3i3−i3−i3i3i3−3−333−3−33300002i−2i-2233−3−3i3i3−i3−i3−i−iii11-1-1000000000000000000000000
χ5022-2-22-22-2−2i−2i2i2i−2i−2i2i2i-1−2i−2i2i2i2-22-2-11-1111-1ii−i−iii−i−i00000000-11ii−i−i-11−i3−i3i3i3−i3−i3i3i3−3−333−3−3330000−2i2i2-2−3−333−i3−i3i3i3ii−i−i-1-111000000000000000000000000
χ5122-2-22-22-2−2i−2i2i2i−2i−2i2i2i-1−2i−2i2i2i2-22-2-11-1111-1ii−i−iii−i−i00000000-11ii−i−i-11i3i3−i3−i3i3i3−i3−i333−3−333−3−300002i−2i-22−3−333−i3−i3i3i3−i−iii11-1-1000000000000000000000000
χ5222-2-22-22-2−2i−2i2i2i−2i−2i2i2i-1−2i−2i2i2i2-22-2-11-1111-1ii−i−iii−i−i00000000-11ii−i−i-11i3i3−i3−i3i3i3−i3−i333−3−333−3−30000−2i2i2-233−3−3i3i3−i3−i3ii−i−i-1-111000000000000000000000000
χ532-222-2-22-22i−2i2i−2i2i−2i2i−2i22i−2i2i−2i2-2-22-22-22-2-222i−2i2i−2i2i−2i2i−2i2-22-22i−2i2i−2i-222i−2i2i−2i2-22-22-22-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000
χ542-222-2-22-22i−2i2i−2i2i−2i2i−2i22i−2i2i−2i2-2-22-22-22-2-222i−2i2i−2i2i−2i2i−2i-22-22−2i2i−2i2i-222i−2i2i−2i2-2-22-22-22-22−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000
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χ562-222-2-22-22i−2i2i−2i2i−2i2i−2i2−2i2i−2i2i-222-2-22-22-2-222i−2i2i−2i2i−2i2i−2i000000002-2−2i2i−2i2i-22000000000000000000000000000000000000000000000000−2i2i−2i2i-22-2200000000
χ572-222-2-22-22i−2i2i−2i2i−2i2i−2i-12i−2i2i−2i2-2-221-11-111-1−ii−ii−ii−ii2-22-22i−2i2i−2i1-1−ii−ii-11-11-11-11-11−ii−ii−ii−ii000000003−33−3−i3i3−i3i33−33−3−i3i3−i3i3000000000000000000000000
χ582-222-2-22-22i−2i2i−2i2i−2i2i−2i-12i−2i2i−2i2-2-221-11-111-1−ii−ii−ii−ii2-22-22i−2i2i−2i1-1−ii−ii-11-11-11-11-11−ii−ii−ii−ii00000000−33−33i3−i3i3−i3−33−33i3−i3i3−i3000000000000000000000000
χ592-222-2-22-22i−2i2i−2i2i−2i2i−2i-12i−2i2i−2i2-2-221-11-111-1−ii−ii−ii−ii-22-22−2i2i−2i2i1-1−ii−ii-111-11-11-11-1i−ii−ii−ii−i000000003−33−3−i3i3−i3i3−33−33i3−i3i3−i3000000000000000000000000
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χ612-222-2-22-2−2i2i−2i2i−2i2i−2i2i22i−2i2i−2i-222-2-22-22-2-22−2i2i−2i2i−2i2i−2i2i000000002-22i−2i2i−2i-220000000000000000000000000000000000000000000000002i−2i2i−2i-22-2200000000
χ622-222-2-22-2−2i2i−2i2i−2i2i−2i2i22i−2i2i−2i-222-2-22-22-2-22−2i2i−2i2i−2i2i−2i2i000000002-22i−2i2i−2i-22000000000000000000000000000000000000000000000000−2i2i−2i2i2-22-200000000
χ632-222-2-22-2−2i2i−2i2i−2i2i−2i2i2−2i2i−2i2i2-2-22-22-22-2-22−2i2i−2i2i−2i2i−2i2i2-22-2−2i2i−2i2i-22−2i2i−2i2i2-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000
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χ1164-4-444-4-444-44-4-44-44-2000000002-2-22-222-22-222-22-2−222222−2222−22−2222000000002−22−2−22−22−22−222−22−2000000000000000000000000000000000000000000000000
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χ1184-4-444-4-44-44-444-44-4-2000000002-2-22-2222-22-2-22-22−222222−22−222222−22000000002−22−2−22−222−22−2−22−22000000000000000000000000000000000000000000000000
χ1194-4-4-4-44444-4-444-4-44-2-444-4-4-4442222-2-2-2-222-2-222-200000000-2-22-2-22220000000000000000000000000000000000000000000000000000000000000000
χ1204-4-4-4-4444-444-4-444-4-24-4-44-4-4442222-2-2-22-2-222-2-2200000000-2-2-222-2220000000000000000000000000000000000000000000000000000000000000000

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