Finite Group Databasebeta

← Group #11722059

Character table — Group #11722059

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222222244444444444444444444444444444444444444444412121212121212121212121212121212121236363636363654545454
order124423333346666612121212121212121212333366666666666666666121212121212121212121212121212121212121212882424242424242424242424242424242488242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−ii−iii−i−i11-1-1
χ611-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−i−ii−i−iii-1-111
χ711-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiiii−iii−i−i-1-111
χ811-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiii−ii−i−iii11-1-1
χ9222222222-122222-122222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-10000
χ10222222222-122222-122222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-211110000
χ11222222-1-1-1222-1-1-1222-1-1-1-1-1-1222-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-10000000000
χ12222222-1-1-1222-1-1-1222-1-1-1-1-1-1222-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-21111110000000000
χ1322222-12-1-122-12-1-12-1-122-1-1-1-122-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-10000000000
χ1422222-12-1-122-12-1-12-1-122-1-1-1-122-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1-2-211-2-2111111-2-211110000000000
χ1522222-1-12-122-1-12-12-1-1-1-122-1-122-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-10000000000
χ1622222-1-12-122-1-12-12-1-1-1-122-1-122-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-2-21111-2-2111111-2-2110000000000
χ1722222-1-1-1222-1-1-122-1-1-1-1-1-12222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1220000000000
χ1822222-1-1-1222-1-1-122-1-1-1-1-1-12222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2111111-2-2111111-2-20000000000
χ192222-222222-22222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000
χ202222-22222-1-22222-122222222-1-1-1-1-1-1-2-2-2-2111111111-1-1-1-1-2-2-2-2111111111-1-1-1-1-1-1-1-100000000000000000000−i3i3−i3i30000
χ212222-22222-1-22222-122222222-1-1-1-1-1-1-2-2-2-2111111111-1-1-1-1-2-2-2-2111111111-1-1-1-1-1-1-1-100000000000000000000i3−i3i3−i30000
χ222222-22-1-1-12-22-1-1-1222-1-1-1-1-1-1222-1-1-1-2111-2-2-21111112-1-1-1-2111-2-2-211111122-1-1-1-1-1-10000−i3i3−i3i3−i3i300−i3i3−i3i3−i3i30000000000
χ232222-22-1-1-12-22-1-1-1222-1-1-1-1-1-1222-1-1-1-2111-2-2-21111112-1-1-1-2111-2-2-211111122-1-1-1-1-1-10000i3−i3i3−i3i3−i300i3−i3i3−i3i3−i30000000000
χ242222-2-12-1-12-2-12-1-12-1-122-1-1-1-122-12-1-11-211-211-2-21111-12-1-11-211-211-2-21111-1-122-1-1-1-100−i3i300−i3i3i3−i3−i3i300−i3i3i3−i30000000000
χ252222-2-12-1-12-2-12-1-12-1-122-1-1-1-122-12-1-11-211-211-2-21111-12-1-11-211-211-2-21111-1-122-1-1-1-100i3−i300i3−i3−i3i3i3−i300i3−i3−i3i30000000000
χ262222-2-1-12-12-2-1-12-12-1-1-1-122-1-122-1-12-111-21-21111-2-211-1-12-111-21-21111-2-211-1-1-1-122-1-100−i3i3i3−i300−i3i3−i3i3i3−i300−i3i30000000000
χ272222-2-1-12-12-2-1-12-12-1-1-1-122-1-122-1-12-111-21-21111-2-211-1-12-111-21-21111-2-211-1-1-1-122-1-100i3−i3−i3i300i3−i3i3−i3−i3i300i3−i30000000000
χ282222-2-1-1-122-2-1-1-122-1-1-1-1-1-12222-1-1-12111-2-2111111-2-2-1-1-12111-2-2111111-2-2-1-1-1-1-1-12200−i3i3−i3i3i3−i300−i3i3−i3i3i3−i3000000000000
χ292222-2-1-1-122-2-1-1-122-1-1-1-1-1-12222-1-1-12111-2-2111111-2-2-1-1-12111-2-2111111-2-2-1-1-1-1-1-12200i3−i3i3−i3−i3i300i3−i3i3−i3−i3i3000000000000
χ3022-2-2222222-222222-2-2-2-2-2-2-2-2-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000
χ3122-2-222222-1-22222-1-2-2-2-2-2-2-2-211-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111111000000000000000000003−3−330000
χ3222-2-222222-1-22222-1-2-2-2-2-2-2-2-211-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111100000000000000000000−333−30000
χ3322-2-222-1-1-12-22-1-1-12-2-2111111-2-22-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-1-2111-2-2-2111111-2-211111100003−33−33−300−33−33−330000000000
χ3422-2-222-1-1-12-22-1-1-12-2-2111111-2-22-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-1-2111-2-2-2111111-2-21111110000−33−33−33003−33−33−30000000000
χ3522-2-22-12-1-12-2-12-1-1211-2-21111-2-2-12-1-1-12-1-12-1-122-1-1-1-1-12-1-11-211-211-2-2111111-2-21111003−3003−3−33−3300−333−30000000000
χ3622-2-22-12-1-12-2-12-1-1211-2-21111-2-2-12-1-1-12-1-12-1-122-1-1-1-1-12-1-11-211-211-2-2111111-2-2111100−3300−333−33−3003−3−330000000000
χ3722-2-22-1-12-12-2-1-12-121111-2-211-2-2-1-12-1-1-12-12-1-1-1-122-1-1-1-12-111-21-21111-2-2111111-2-211003−3−33003−3−333−300−330000000000
χ3822-2-22-1-12-12-2-1-12-121111-2-211-2-2-1-12-1-1-12-12-1-1-1-122-1-1-1-12-111-21-21111-2-2111111-2-21100−333−300−333−3−33003−30000000000
χ3922-2-22-1-1-122-2-1-1-122111111-2-2-2-2-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12111-2-2111111-2-2111111-2-2003−33−3−3300−33−333−3000000000000
χ4022-2-22-1-1-122-2-1-1-122111111-2-2-2-2-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12111-2-2111111-2-2111111-2-200−33−333−3003−33−3−33000000000000
χ4122-2-2-22222-122222-1-2-2-2-2-2-2-2-211-1-1-1-1-2-2-2-2111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1111111110000000000000000002i−2i−i−iii0000
χ4222-2-2-22222-122222-1-2-2-2-2-2-2-2-211-1-1-1-1-2-2-2-2111111111-1-1-1-12222-1-1-1-1-1-1-1-1-111111111000000000000000000−2i2iii−i−i0000
χ4322-2-2-22-1-1-1222-1-1-12-2-2111111-2-22-1-1-1-2111-2-2-21111112-1-1-12-1-1-1222-1-1-1-1-1-1-2-21111112i−2i2i2i−i−i−i−i−i−i−2i−2iiiiiii0000000000
χ4422-2-2-22-1-1-1222-1-1-12-2-2111111-2-22-1-1-1-2111-2-2-21111112-1-1-12-1-1-1222-1-1-1-1-1-1-2-2111111−2i2i−2i−2iiiiiii2i2i−i−i−i−i−i−i0000000000
χ4522-2-2-2-12-1-122-12-1-1211-2-21111-2-2-12-1-11-211-211-2-21111-12-1-1-12-1-12-1-122-1-1-1-111-2-211112i−2i−i−i2i2i−i−i−i−iii−2i−2iiiii0000000000
χ4622-2-2-2-12-1-122-12-1-1211-2-21111-2-2-12-1-11-211-211-2-21111-12-1-1-12-1-12-1-122-1-1-1-111-2-21111−2i2iii−2i−2iiiii−i−i2i2i−i−i−i−i0000000000
χ4722-2-2-2-1-12-122-1-12-121111-2-211-2-2-1-12-111-21-21111-2-211-1-12-1-1-12-12-1-1-1-122-1-11111-2-2112i−2i−i−i−i−i2i2i−i−iiiii−2i−2iii0000000000
χ4822-2-2-2-1-12-122-1-12-121111-2-211-2-2-1-12-111-21-21111-2-211-1-12-1-1-12-12-1-1-1-122-1-11111-2-211−2i2iiiii−2i−2iii−i−i−i−i2i2i−i−i0000000000
χ4922-2-2-2-1-1-1222-1-1-122111111-2-2-2-2-1-1-12111-2-2111111-2-2-1-1-12-1-1-122-1-1-1-1-1-122111111-2-22i−2i−i−i−i−i−i−i2i2iiiiiii−2i−2i0000000000
χ5022-2-2-2-1-1-1222-1-1-122111111-2-2-2-2-1-1-12111-2-2111111-2-2-1-1-12-1-1-122-1-1-1-1-1-122111111-2-2−2i2iiiiiii−2i−2i−i−i−i−i−i−i2i2i0000000000
χ512-22i−2i0222220-2-2-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i22220000000000000-2-2-2-200000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000002−2−i2i2
χ522-22i−2i0222220-2-2-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i22220000000000000-2-2-2-200000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000−22i2−i2
χ532-2−2i2i0222220-2-2-2-2-2−2i2i−2i2i−2i2i−2i2i−2i2i22220000000000000-2-2-2-20000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000002−2i2−i2
χ542-2−2i2i0222220-2-2-2-2-2−2i2i−2i2i−2i2i−2i2i−2i2i22220000000000000-2-2-2-20000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000−22−i2i2
χ55444444-2-2-2-244-2-2-2-244-2-2-2-2-2-2-2-2-21114-2-2-2-2-2-2111111-21114-2-2-2-2-2-2111111-2-21111110000000000000000000000000000
χ5644444-24-2-2-24-24-2-2-2-2-244-2-2-2-2-2-21-211-24-2-2-211-2-211111-211-24-2-2-211-2-2111111-2-211110000000000000000000000000000
χ5744444-2-24-2-24-2-24-2-2-2-2-2-244-2-2-2-211-21-2-24-2-21111-2-21111-21-2-24-2-21111-2-2111111-2-2110000000000000000000000000000
χ5844444-2-2-24-24-2-2-24-2-2-2-2-2-2-244-2-2111-2-2-2-24-2111111-2-2111-2-2-2-24-2111111-2-2111111-2-20000000000000000000000000000
χ594444-44-2-2-2-2-44-2-2-2-244-2-2-2-2-2-2-2-2-2111-4222222-1-1-1-1-1-1-2111-4222222-1-1-1-1-1-1-2-21111110000000000000000000000000000
χ604444-4-24-2-2-2-4-24-2-2-2-2-244-2-2-2-2-2-21-2112-4222-1-122-1-1-1-11-2112-4222-1-122-1-1-1-111-2-211110000000000000000000000000000
χ614444-4-2-24-2-2-4-2-24-2-2-2-2-2-244-2-2-2-211-2122-422-1-1-1-122-1-111-2122-422-1-1-1-122-1-11111-2-2110000000000000000000000000000
χ624444-4-2-2-24-2-4-2-2-24-2-2-2-2-2-2-244-2-2111-2222-42-1-1-1-1-1-122111-2222-42-1-1-1-1-1-122111111-2-20000000000000000000000000000
χ6344-4-444-2-2-2-2-44-2-2-2-2-4-422222222-21114-2-2-2-2-2-2111111-2111-4222222-1-1-1-1-1-122-1-1-1-1-1-10000000000000000000000000000
χ6444-4-44-24-2-2-2-4-24-2-2-222-4-42222221-211-24-2-2-211-2-211111-2112-4222-1-122-1-1-1-1-1-122-1-1-1-10000000000000000000000000000
χ6544-4-44-2-24-2-2-4-2-24-2-22222-4-4222211-21-2-24-2-21111-2-21111-2122-422-1-1-1-122-1-1-1-1-1-122-1-10000000000000000000000000000
χ6644-4-44-2-2-24-2-4-2-2-24-2222222-4-422111-2-2-2-24-2111111-2-2111-2222-42-1-1-1-1-1-122-1-1-1-1-1-1220000000000000000000000000000
χ6744-4-4-44-2-2-2-244-2-2-2-2-4-422222222-2111-4222222-1-1-1-1-1-1-21114-2-2-2-2-2-211111122-1-1-1-1-1-10000000000000000000000000000
χ6844-4-4-4-24-2-2-24-24-2-2-222-4-42222221-2112-4222-1-122-1-1-1-11-211-24-2-2-211-2-21111-1-122-1-1-1-10000000000000000000000000000
χ6944-4-4-4-2-24-2-24-2-24-2-22222-4-4222211-2122-422-1-1-1-122-1-111-21-2-24-2-21111-2-211-1-1-1-122-1-10000000000000000000000000000
χ7044-4-4-4-2-2-24-24-2-2-24-2222222-4-422111-2222-42-1-1-1-1-1-122111-2-2-2-24-2111111-2-2-1-1-1-1-1-1220000000000000000000000000000
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χ724-44i−4i04-2-2-240-4222-44i−4i−2i2i−2i2i−2i2i4i−4i4-2-2-20000000000000-422200000000000004i−4i−2i2i−2i2i−2i2i0000000000000000000000000000
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χ744-44i−4i04-2-2-2-20-422224i−4i−2i2i−2i2i−2i2i−2i2i-21110000000-33-33-332-1-1-10000000−3i3i−3i3i−3i3i−2i2ii−ii−ii−i0000000000000000000000000000
χ754-44i−4i0-24-2-2402-422-4−2i2i4i−4i−2i2i−2i2i4i−4i-24-2-200000000000002-4220000000000000−2i2i4i−4i−2i2i−2i2i0000000000000000000000000000
χ764-44i−4i0-24-2-2-202-4222−2i2i4i−4i−2i2i−2i2i−2i2i1-211000003-3003-3-33-12-1-1000003i−3i003i−3i−3i3ii−i−2i2ii−ii−i0000000000000000000000000000
χ774-44i−4i0-24-2-2-202-4222−2i2i4i−4i−2i2i−2i2i−2i2i1-21100000-3300-333-3-12-1-100000−3i3i00−3i3i3i−3ii−i−2i2ii−ii−i0000000000000000000000000000
χ784-44i−4i0-2-24-24022-42-4−2i2i−2i2i4i−4i−2i2i4i−4i-2-24-2000000000000022-420000000000000−2i2i−2i2i4i−4i−2i2i0000000000000000000000000000
χ794-44i−4i0-2-24-2-2022-422−2i2i−2i2i4i−4i−2i2i−2i2i11-21000003-3-33003-3-1-12-1000003i−3i−3i3i003i−3ii−ii−i−2i2ii−i0000000000000000000000000000
χ804-44i−4i0-2-24-2-2022-422−2i2i−2i2i4i−4i−2i2i−2i2i11-2100000-333-300-33-1-12-100000−3i3i3i−3i00−3i3ii−ii−i−2i2ii−i0000000000000000000000000000
χ814-44i−4i0-2-2-2440222-4-4−2i2i−2i2i−2i2i4i−4i4i−4i-2-2-240000000000000222-40000000000000−2i2i−2i2i−2i2i4i−4i0000000000000000000000000000
χ824-44i−4i0-2-2-24-20222-42−2i2i−2i2i−2i2i4i−4i−2i2i111-2000003-33-3-3300-1-1-12000003i−3i3i−3i−3i3i00i−ii−ii−i−2i2i0000000000000000000000000000
χ834-44i−4i0-2-2-24-20222-42−2i2i−2i2i−2i2i4i−4i−2i2i111-200000-33-333-300-1-1-1200000−3i3i−3i3i3i−3i00i−ii−ii−i−2i2i0000000000000000000000000000
χ844-4−4i4i04444-20-4-4-4-42−4i4i−4i4i−4i4i−4i4i2i−2i-2-2-2-20000000000000222200000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
χ854-4−4i4i04-2-2-240-4222-4−4i4i2i−2i2i−2i2i−2i−4i4i4-2-2-20000000000000-42220000000000000−4i4i2i−2i2i−2i2i−2i0000000000000000000000000000
χ864-4−4i4i04-2-2-2-20-42222−4i4i2i−2i2i−2i2i−2i2i−2i-211100000003-33-33-32-1-1-10000000−3i3i−3i3i−3i3i2i−2i−ii−ii−ii0000000000000000000000000000
χ874-4−4i4i04-2-2-2-20-42222−4i4i2i−2i2i−2i2i−2i2i−2i-21110000000-33-33-332-1-1-100000003i−3i3i−3i3i−3i2i−2i−ii−ii−ii0000000000000000000000000000
χ884-4−4i4i0-24-2-2402-422-42i−2i−4i4i2i−2i2i−2i−4i4i-24-2-200000000000002-42200000000000002i−2i−4i4i2i−2i2i−2i0000000000000000000000000000
χ894-4−4i4i0-24-2-2-202-42222i−2i−4i4i2i−2i2i−2i2i−2i1-211000003-3003-3-33-12-1-100000−3i3i00−3i3i3i−3i−ii2i−2i−ii−ii0000000000000000000000000000
χ904-4−4i4i0-24-2-2-202-42222i−2i−4i4i2i−2i2i−2i2i−2i1-21100000-3300-333-3-12-1-1000003i−3i003i−3i−3i3i−ii2i−2i−ii−ii0000000000000000000000000000
χ914-4−4i4i0-2-24-24022-42-42i−2i2i−2i−4i4i2i−2i−4i4i-2-24-2000000000000022-4200000000000002i−2i2i−2i−4i4i2i−2i0000000000000000000000000000
χ924-4−4i4i0-2-24-2-2022-4222i−2i2i−2i−4i4i2i−2i2i−2i11-21000003-3-33003-3-1-12-100000−3i3i3i−3i00−3i3i−ii−ii2i−2i−ii0000000000000000000000000000
χ934-4−4i4i0-2-24-2-2022-4222i−2i2i−2i−4i4i2i−2i2i−2i11-2100000-333-300-33-1-12-1000003i−3i−3i3i003i−3i−ii−ii2i−2i−ii0000000000000000000000000000
χ944-4−4i4i0-2-2-2440222-4-42i−2i2i−2i2i−2i−4i4i−4i4i-2-2-240000000000000222-400000000000002i−2i2i−2i2i−2i−4i4i0000000000000000000000000000
χ954-4−4i4i0-2-2-24-20222-422i−2i2i−2i2i−2i−4i4i2i−2i111-2000003-33-3-3300-1-1-1200000−3i3i−3i3i3i−3i00−ii−ii−ii2i−2i0000000000000000000000000000
χ964-4−4i4i0-2-2-24-20222-422i−2i2i−2i2i−2i−4i4i2i−2i111-200000-33-333-300-1-1-12000003i−3i3i−3i−3i3i00−ii−ii−ii2i−2i0000000000000000000000000000

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