Finite Group Databasebeta

← Group #11895665

Character table — Group #11895665

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222222244444444444444444444444444488888888888888888812121212121212121212121218181818242424242424242424242424242424242424363636363636
order122233444444446666663444666121212121212121212121212121212121212121212121212121212121212121212121212121244441212121212121212888822444466661212121212121212888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111-1-1-1-11111111111-1-1111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1
χ611111111-1-1-1-11111111111-1-1111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-11-1-11111-1-111-1-1-1-1-1-11111
χ711111111-1-1-1-11111111111-1-1111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-111-1-1-1-111-1-11111-1-11111
χ811111111-1-1-1-11111111111-1-1111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1111111-1-1-1-1
χ9111111-1-111-1-1111111111-11-1111-1-111111111-1-1-1-1-1-111111-1-1-11-1-1-1-1-11111-1-1-1-111111111111111111-1-1-11-111-1-1-1-1-1-111-1-1-1-111-1-1
χ10111111-1-111-1-1111111111-11-1111-1-111111111-1-1-1-1-1-111111-1-1-11-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-111-1-111-1-111
χ11111111-1-111-1-1111111111-11-1111-1-111111111-1-1-1-1-1-111111-1-1-11-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-11-1111-1-1-1-111-1-11111-1-111
χ12111111-1-111-1-1111111111-11-1111-1-111111111-1-1-1-1-1-111111-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111-11-1-1111111-1-111-1-111-1-1
χ13111111-1-1-1-111111111111-1-11111-1-11111-1-1-1-11111-1-11111-11-1-1-11-1-1-1-1-1-1-1-111111111111111111111-11-1-1-11-1-111-1-1-1-1-1-111-1-1-1-111
χ14111111-1-1-1-111111111111-1-11111-1-11111-1-1-1-11111-1-11111-11-1-1-11-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11-11-1-1111-1-111-1-1-1-1111111-1-1
χ15111111-1-1-1-111111111111-1-11111-1-11111-1-1-1-11111-1-11111-11-1-1-11-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-11-111-1-1-111-1-11111-1-11111-1-1
χ16111111-1-1-1-111111111111-1-11111-1-11111-1-1-1-11111-1-11111-11-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1111-111-1-1111111-1-1-1-1-1-111
χ17222222222222-2-22222222-2-2-222222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-20000000000000000000000000000000000000000
χ1822222222-2-2-2-2-2-22222222-22222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-222-2-22222-2-2-2-222-2-2220000000000000000000000000000000000000000
χ19222222-2-222-2-2-2-222222222-22222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2222-22-2-22222-2-2-2-2220000000000000000000000000000000000000000
χ20222222-2-2-2-222-2-2222222222-2222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-22-2222-2-2-222-2-22222-2-20000000000000000000000000000000000000000
χ2122222-122222222-12-12-12-1222-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1-100220000-1-1-1-10000222000-1-1-1-1-1-1000000000000
χ2222222-122222222-12-12-12-1222-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1-100-2-2000011110000-2-2-2000111111000000000000
χ2322222-1222222-2-2-12-12-12-1-2-2-2-1-1-1-1-1-2-21122-1-122-1-122111111-21-2-2-1-111-1-111-1-11100000000−i3−i3i3i30000000000−i3i3−i3i3−i3i3000000000000
χ2422222-1222222-2-2-12-12-12-1-2-2-2-1-1-1-1-1-2-21122-1-122-1-122111111-21-2-2-1-111-1-111-1-11100000000i3i3−i3−i30000000000i3−i3i3−i3i3−i3000000000000
χ2522222-122-2-2-2-222-12-12-12-12-2-2-1-1-1-1-122-1-1-2-211-2-21122-1-1-1-1112-1-2-2-1-1-1-11111111100220000-1-1-1-10000-2-220001111-1-1000000000000
χ2622222-122-2-2-2-222-12-12-12-12-2-2-1-1-1-1-122-1-1-2-211-2-21122-1-1-1-1112-1-2-2-1-1-1-11111111100-2-200001111000022-2000-1-1-1-111000000000000
χ2722222-122-2-2-2-2-2-2-12-12-12-1-222-1-1-1-1-1-2-211-2-211-2-211221111-1-1-2122-1-11111-1-111-1-100000000−i3−i3i3i30000000000i3−i3i3−i3−i3i3000000000000
χ2822222-122-2-2-2-2-2-2-12-12-12-1-222-1-1-1-1-1-2-211-2-211-2-211221111-1-1-2122-1-11111-1-111-1-100000000i3i3−i3−i30000000000−i3i3−i3i3i3−i3000000000000
χ2922222-1-2-222-2-222-12-12-12-1-22-2-1-1-11122-1-122-1-1-2-211-2-2-1-1-1-1-11-212-21111-1-1-1-1111100220000-1-1-1-100002-2-2000-1-11111000000000000
χ3022222-1-2-222-2-222-12-12-12-1-22-2-1-1-11122-1-122-1-1-2-211-2-2-1-1-1-1-11-212-21111-1-1-1-1111100-2-2000011110000-22200011-1-1-1-1000000000000
χ3122222-1-2-222-2-2-2-2-12-12-12-12-22-1-1-111-2-21122-1-1-2-211-2-211111-12-1-2211-1-1-1-11111-1-100000000−i3−i3i3i30000000000−i3i3i3−i3i3−i3000000000000
χ3222222-1-2-222-2-2-2-2-12-12-12-12-22-1-1-111-2-21122-1-1-2-211-2-211111-12-1-2211-1-1-1-11111-1-100000000i3i3−i3−i30000000000i3−i3−i3i3−i3i3000000000000
χ3322222-1-2-2-2-22222-12-12-12-1-2-22-1-1-11122-1-1-2-21122-1-1-2-2-1-1-1-11-1-21-2211111111-1-1-1-100220000-1-1-1-10000-22-200011-1-111000000000000
χ3422222-1-2-2-2-22222-12-12-12-1-2-22-1-1-11122-1-1-2-21122-1-1-2-2-1-1-1-11-1-21-2211111111-1-1-1-100-2-20000111100002-22000-1-111-1-1000000000000
χ3522222-1-2-2-2-222-2-2-12-12-12-122-2-1-1-111-2-211-2-21122-1-1-2-21111-112-12-211-1-111-1-1-1-11100000000−i3−i3i3i30000000000i3−i3−i3i3i3−i3000000000000
χ3622222-1-2-2-2-222-2-2-12-12-12-122-2-1-1-111-2-211-2-21122-1-1-2-21111-112-12-211-1-111-1-1-1-11100000000i3i3−i3−i30000000000−i3i3i3−i3−i3i3000000000000
χ372222-12222222222-12-12-1-1222-1-1-122-1-122-1-122-1-122-1-1-1-1-1-122-12-1-1-1-1-1-1-1-1-1-1-1-1-1-12200-1-1-1-100000000000222000000-1-1-1-1-1-1000000
χ382222-12222222222-12-12-1-1222-1-1-122-1-122-1-122-1-122-1-1-1-1-1-122-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200111100000000000-2-2-2000000111111000000
χ392222-12222222-2-22-12-12-1-1-2-2-2-1-1-12211-2-2-1-122-1-122-1-11111-2-21-211-1-111-1-111-1-1110000−i3−i3i3i300000000000000000000−i3i3−i3i3−i3i3000000
χ402222-12222222-2-22-12-12-1-1-2-2-2-1-1-12211-2-2-1-122-1-122-1-11111-2-21-211-1-111-1-111-1-1110000i3i3−i3−i300000000000000000000i3−i3i3−i3i3−i3000000
χ412222-1222-2-2-2-2222-12-12-1-12-2-2-1-1-122-1-12211-2-211-2-2-1-1-1-1-1-1-2-2-1211-1-1-1-1111111112200-1-1-1-1000000000002-2-2000000-1-11111000000
χ422222-1222-2-2-2-2222-12-12-1-12-2-2-1-1-122-1-12211-2-211-2-2-1-1-1-1-1-1-2-2-1211-1-1-1-111111111-2-200111100000000000-22200000011-1-1-1-1000000
χ432222-1222-2-2-2-2-2-22-12-12-1-1-222-1-1-12211-2-211-2-211-2-2-1-11111221-2-1-1-1-11111-1-111-1-10000−i3−i3i3i300000000000000000000−i3i3i3−i3i3−i3000000
χ442222-1222-2-2-2-2-2-22-12-12-1-1-222-1-1-12211-2-211-2-211-2-2-1-11111221-2-1-1-1-11111-1-111-1-10000i3i3−i3−i300000000000000000000i3−i3−i3i3−i3i3000000
χ452222-12-2-222-2-2222-12-12-1-1-22-2-1-1-1-2-2-1-122-1-12211-2-211-1-1-1-12-21-2-111111-1-1-1-111112200-1-1-1-100000000000-22-200000011-1-111000000
χ462222-12-2-222-2-2222-12-12-1-1-22-2-1-1-1-2-2-1-122-1-12211-2-211-1-1-1-12-21-2-111111-1-1-1-11111-2-2001111000000000002-22000000-1-111-1-1000000
χ472222-12-2-222-2-2-2-22-12-12-1-12-22-1-1-1-2-211-2-2-1-12211-2-2111111-22-121-111-1-1-1-11111-1-10000−i3−i3i3i300000000000000000000i3−i3−i3i3i3−i3000000
χ482222-12-2-222-2-2-2-22-12-12-1-12-22-1-1-1-2-211-2-2-1-12211-2-2111111-22-121-111-1-1-1-11111-1-10000i3i3−i3−i300000000000000000000−i3i3i3−i3−i3i3000000
χ492222-12-2-2-2-222222-12-12-1-1-2-22-1-1-1-2-2-1-12211-2-2-1-12211-1-1-1-1-221-21-111111111-1-1-1-12200-1-1-1-100000000000-2-220000001111-1-1000000
χ502222-12-2-2-2-222222-12-12-1-1-2-22-1-1-1-2-2-1-12211-2-2-1-12211-1-1-1-1-221-21-111111111-1-1-1-1-2-20011110000000000022-2000000-1-1-1-111000000
χ512222-12-2-2-2-222-2-22-12-12-1-122-2-1-1-1-2-211-2-211-2-2-1-1221111112-2-12-1111-1-111-1-1-1-1110000−i3−i3i3i300000000000000000000i3−i3i3−i3−i3i3000000
χ522222-12-2-2-2-222-2-22-12-12-1-122-2-1-1-1-2-211-2-211-2-2-1-1221111112-2-12-1111-1-111-1-1-1-1110000i3i3−i3−i300000000000000000000−i3i3−i3i3i3−i3000000
χ5322-2-222000000-22-222-2-2-220002-2-2002-22-2000000000022-2-20000000000000000002-22i−2i2-22-22i−2i2i−2i2i2i−2i−2i000000000000000000000000
χ5422-2-222000000-22-222-2-2-220002-2-2002-22-2000000000022-2-20000000000000000002-2−2i2i2-22-2−2i2i−2i2i−2i−2i2i2i000000000000000000000000
χ5522-2-222000000-22-222-2-2-220002-2-2002-22-2000000000022-2-2000000000000000000-222i−2i-22-222i−2i2i−2i−2i−2i2i2i000000000000000000000000
χ5622-2-222000000-22-222-2-2-220002-2-2002-22-2000000000022-2-2000000000000000000-22−2i2i-22-22−2i2i−2i2i2i2i−2i−2i000000000000000000000000
χ572-22-2222-22i−2i2i−2i002-2-2-2-222000-22-22-200002i−2i2i−2i2i−2i2i−2i2-200000000002-2002i−2i002i−2i000000000000002−22−20000000000000000002−2−i2i2−i2i2
χ582-22-2222-22i−2i2i−2i002-2-2-2-222000-22-22-200002i−2i2i−2i2i−2i2i−2i2-200000000002-2002i−2i002i−2i00000000000000−22−22000000000000000000−22i2−i2i2−i2
χ592-22-2222-2−2i2i−2i2i002-2-2-2-222000-22-22-20000−2i2i−2i2i−2i2i−2i2i2-200000000002-200−2i2i00−2i2i000000000000002−22−20000000000000000002−2i2−i2i2−i2
χ602-22-2222-2−2i2i−2i2i002-2-2-2-222000-22-22-20000−2i2i−2i2i−2i2i−2i2i2-200000000002-200−2i2i00−2i2i00000000000000−22−22000000000000000000−22−i2i2−i2i2
χ612-22-222-222i−2i−2i2i002-2-2-2-222000-22-2-2200002i−2i2i−2i−2i2i−2i2i-220000000000-22002i−2i00−2i2i000000000000002−22−2000000000000000000−22−i2i2i2−i2
χ622-22-222-222i−2i−2i2i002-2-2-2-222000-22-2-2200002i−2i2i−2i−2i2i−2i2i-220000000000-22002i−2i00−2i2i00000000000000−22−220000000000000000002−2i2−i2−i2i2
χ632-22-222-22−2i2i2i−2i002-2-2-2-222000-22-2-220000−2i2i−2i2i2i−2i2i−2i-220000000000-2200−2i2i002i−2i000000000000002−22−2000000000000000000−22i2−i2−i2i2
χ642-22-222-22−2i2i2i−2i002-2-2-2-222000-22-2-220000−2i2i−2i2i2i−2i2i−2i-220000000000-2200−2i2i002i−2i00000000000000−22−220000000000000000002−2−i2i2i2−i2
χ654444-2-244444444-2-2-2-2-2-21444111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-21111111111110000000000000000000000000000000000000000
χ664444-2-2444444-4-4-2-2-2-2-2-21-4-4-4111-2-22222-2-2-2-2-2-2-2-2-2-2-1-1-1-122222211-1-111-1-111-1-10000000000000000000000000000000000000000
χ674444-2-244-4-4-4-444-2-2-2-2-2-214-4-4111-2-2-2-2-2-222222222-2-2111122-2-2221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
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χ694444-2-2-4-444-4-444-2-2-2-2-2-21-44-411122-2-2-2-2-2-2-2-22222221111-2222-22-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000
χ704444-2-2-4-444-4-4-4-4-2-2-2-2-2-214-44111222222-2-2-2-2222222-1-1-1-12-2-2-22-2-1-11111-1-1-1-1110000000000000000000000000000000000000000
χ714444-2-2-4-4-4-44444-2-2-2-2-2-21-4-4411122-2-2-2-22222-2-2-2-22211112-2222-2-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000
χ724444-2-2-4-4-4-444-4-4-2-2-2-2-2-2144-41112222222222-2-2-2-222-1-1-1-1-22-2-2-22-1-111-1-11111-1-10000000000000000000000000000000000000000
χ7344-4-4440000004-4-444-4-4-440004-4-400-44-440000000000-4-4440000000000000000000000000000000000000000000000000000000000
χ7444-4-44-20000004-424-2-42-4-2000-22200-442-2000000000022-2-20000000000000000000000000023−23−23230000000000000000000000000000
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χ7644-4-44-2000000-4424-2-42-4-2000-222004-4-220000000000-2-222000000000000000000004i−4i0000−2i2i−2i2i0000000000000000000000000000
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χ834-44-44-24-4−4i4i−4i4i00-2-42-424-20002-22-220000−4i4i2i−2i−4i4i2i−2i4-40000000000-22002i−2i002i−2i000000000000000000000000000000000000000000
χ844-44-44-2-444i−4i−4i4i00-2-42-424-20002-222-200004i−4i−2i2i−4i4i2i−2i-4400000000002-200−2i2i002i−2i000000000000000000000000000000000000000000
χ854-44-44-2-44−4i4i4i−4i00-2-42-424-20002-222-20000−4i4i2i−2i4i−4i−2i2i-4400000000002-2002i−2i00−2i2i000000000000000000000000000000000000000000
χ864-44-4-244-44i−4i4i−4i0042-42-4-2-20002-224-40000−2i2i4i−4i−2i2i4i−4i-220000000000-2200−2i2i00−2i2i000000000000000000000000000000000000000000
χ874-44-4-244-4−4i4i−4i4i0042-42-4-2-20002-224-400002i−2i−4i4i2i−2i−4i4i-220000000000-22002i−2i002i−2i000000000000000000000000000000000000000000
χ884-44-4-24-444i−4i−4i4i0042-42-4-2-20002-22-440000−2i2i4i−4i2i−2i−4i4i2-200000000002-200−2i2i002i−2i000000000000000000000000000000000000000000
χ894-44-4-24-44−4i4i4i−4i0042-42-4-2-20002-22-4400002i−2i−4i4i−2i2i4i−4i2-200000000002-2002i−2i00−2i2i000000000000000000000000000000000000000000
χ904-44-4-2-24-44i−4i4i−4i00-22222-21000-11-1-220000−2i2i−2i2i−2i2i−2i2i-223i−3i3i−3i0000001-13i−3ii−i3-3i−i3-30000000000000000000000000000000000000000
χ914-44-4-2-24-44i−4i4i−4i00-22222-21000-11-1-220000−2i2i−2i2i−2i2i−2i2i-22−3i3i−3i3i0000001-1−3i3ii−i-33i−i-330000000000000000000000000000000000000000
χ924-44-4-2-24-4−4i4i−4i4i00-22222-21000-11-1-2200002i−2i2i−2i2i−2i2i−2i-223i−3i3i−3i0000001-13i−3i−ii-33−ii-330000000000000000000000000000000000000000
χ934-44-4-2-24-4−4i4i−4i4i00-22222-21000-11-1-2200002i−2i2i−2i2i−2i2i−2i-22−3i3i−3i3i0000001-1−3i3i−ii3-3−ii3-30000000000000000000000000000000000000000
χ944-44-4-2-2-444i−4i−4i4i00-22222-21000-11-12-20000−2i2i−2i2i2i−2i2i−2i2-23i−3i3i−3i000000-11−3i3ii−i3-3−ii-330000000000000000000000000000000000000000
χ954-44-4-2-2-444i−4i−4i4i00-22222-21000-11-12-20000−2i2i−2i2i2i−2i2i−2i2-2−3i3i−3i3i000000-113i−3ii−i-33−ii3-30000000000000000000000000000000000000000
χ964-44-4-2-2-44−4i4i4i−4i00-22222-21000-11-12-200002i−2i2i−2i−2i2i−2i2i2-23i−3i3i−3i000000-11−3i3i−ii-33i−i3-30000000000000000000000000000000000000000
χ974-44-4-2-2-44−4i4i4i−4i00-22222-21000-11-12-200002i−2i2i−2i−2i2i−2i2i2-2−3i3i−3i3i000000-113i−3i−ii3-3i−i-330000000000000000000000000000000000000000
χ984-4-444400000000-4-4-444-44000-4-4400000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ994-4-444400000000-4-4-444-44000-4-44000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ10088-8-8-4-40000008-84-4-444420002-2-2004-44-40000000000-2-2220000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4000000-884-4-444420002-2-200-44-44000000000022-2-20000000000000000000000000000000000000000000000000000000000
χ1028-8-888-4000000004-848-4-8-400044-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4800000000-84-8-484-400044-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-400000000444-4-442000-2-2200000000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-400000000444-4-442000-2-220000000000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000

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