Finite Group Databasebeta

← Group #10694461

Character table — Group #10694461

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444121212121212121212121212121212121616161616161616161616162424242424242424
order12222222344444444666666688888888448888121212121212121212121212242424242424242424242424242424244444444488888888224466661212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1
χ91-1-1111-1-11-111-111-1-1-1-1-1-11111111-1-1-1-11-111-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-111-1-111-1-1ii−i−iii−i−i
χ101-1-1111-1-11-111-111-1-1-1-1-1-11111111-1-1-1-11-111-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11-1-111-1-111−i−iii−i−iii
χ111-1-1111-1-11-111-111-1-1-1-1-1-11111111-1-1-1-11-111-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-111-1-1−i−iii−i−iii
χ121-1-1111-1-11-111-111-1-1-1-1-1-11111111-1-1-1-11-111-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11-1-111-1-111ii−i−iii−i−i
χ131-1-1111-1-11-111-111-1-1-1-1-1-1111-1-1-1-111111-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii1-1-1111-1-1-1-111ii−i−i−i−iii
χ141-1-1111-1-11-111-111-1-1-1-1-1-1111-1-1-1-111111-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii-111-1-1-11111-1-1−i−iiiii−i−i
χ151-1-1111-1-11-111-111-1-1-1-1-1-1111-1-1-1-111111-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i1-1-1111-1-1-1-111−i−iiiii−i−i
χ161-1-1111-1-11-111-111-1-1-1-1-1-1111-1-1-1-111111-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i-111-1-1-11111-1-1ii−i−i−i−iii
χ172222222222-2-2-2222-2222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ182222222222-2-2-2222-22222222-2-2-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
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χ20222222222-2222-2-2-22222222200000000-2-20000-2-2-2-2-2-22222-2-20000000000000000-2-222-2-2220000000000000000000000000000
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χ2322222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-100000000
χ2422222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-21111111100000000
χ2522222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000022-2-2-1-1-1-1111100000000
χ2622222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000-2-2221111-1-1-1-100000000
χ2722222222-12-2-2-2222-2-1-1-1-1-1-1-122222222-2-2-2-2-2-211-1-1111111-1-1-1-1-1-11111-1-1-1-1111100000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ2822222222-12-2-2-2222-2-1-1-1-1-1-1-122222222-2-2-2-2-2-211-1-1111111-1-1-1-1-1-11111-1-1-1-1111100000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ2922222222-12-2-2-2222-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2222211-1-1111111-1-11111-1-1-1-11111-1-1-1-100000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ3022222222-12-2-2-2222-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2222211-1-1111111-1-11111-1-1-1-11111-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ312222-2-2-2-22-20002-22022-2-22-2-22i2i−2i−2i2i2i−2i−2i000000002-20000002-22i2i−2i−2i00002i2i−2i−2i00000000000000000000000000000000−i2i2−i2i22−22−2
χ322222-2-2-2-22-20002-22022-2-22-2-22i2i−2i−2i2i2i−2i−2i000000002-20000002-22i2i−2i−2i00002i2i−2i−2i00000000000000000000000000000000i2−i2i2−i2−22−22
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χ432-22-2-22-22202-2-20002-22-22-2-222−22−2−22−22002−2−220000002-2-22002−22−222−2−2−22−22−2−222002-200-22−22−222−22−200000000000000000000
χ442-22-2-22-22202-2-20002-22-22-2-222−22−2−22−22002−2−220000002-2-22002−22−222−2−2−22−22−2−22200-22002-22−22−2−22−2200000000000000000000
χ452-22-2-22-22202-2-20002-22-22-2-22−22−222−22−200−222−20000002-2-2200−22−22−2−2222−22−222−2−2002-200-222−22−2−22−2200000000000000000000
χ462-22-2-22-22202-2-20002-22-22-2-22−22−222−22−200−222−20000002-2-2200−22−22−2−2222−22−222−2−200-22002-2−22−222−22−200000000000000000000
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χ582-2-2222-2-2-1-222-222-2-21111-1-1-12222-2-2-2-22-222-2-2-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111110000000000000000-22-2211-1-111-1-100000000
χ592-2-2222-2-2-1-222-222-2-21111-1-1-1-2-2-2-222222-2-2-222-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-100000000000000002-2-22-1-11111-1-100000000
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χ934-44-4-44-44-204-4-400042-22-222-2−2222−222222−2222−2200−222222−22000000-222-2002−22−222−2−2−22−22−2−222000000000000000000000000000000000000
χ944-44-4-44-44-20-444000-42-22-222-222−2222−22−2222−222200−222222−220000002-2-2200−22−2222−2−22−22−2−2−222000000000000000000000000000000000000
χ954-44-4-44-44-20-444000-42-22-222-2−2222−222222−2222−220022−22−22220000002-2-22002−22−2−2−222−22−2222−2−2000000000000000000000000000000000000
χ964-4-4444-4-4-2444-4-4-44-42222-2-2-200000000-44000022-2-2-2-2-2-222220000000000000000000000000000000000000000000000000000
χ974-4-4444-4-4-24-4-44-4-4442222-2-2-2000000004-40000-2-2-2-22222-2-2220000000000000000000000000000000000000000000000000000
χ984-4-44-4-4444-4000-4440-4-4444-4-400000000000000004-4000000-440000000000000000000000000000000000000000000000000000
χ994-4-44-4-444-240004-4-4022-2-2-2224i4i−4i−4i−4i−4i4i4i000000002-2000000-22−2i−2i2i2i00002i2i−2i−2i0000000000000000000000000000000000000000
χ1004-4-44-4-444-240004-4-4022-2-2-222−4i−4i4i4i4i4i−4i−4i000000002-2000000-222i2i−2i−2i0000−2i−2i2i2i0000000000000000000000000000000000000000
χ1014-4-44-4-444-2-4000-444022-2-2-2220000000000000000-220000002-2000023−2323−230000−2323−2323000000000000000000000000000000000000
χ1024-4-44-4-444-2-4000-444022-2-2-2220000000000000000-220000002-20000−2323−2323000023−2323−23000000000000000000000000000000000000

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