Finite Group Databasebeta

← Group #11781732

Character table — Group #11781732

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222222222222222224444444444444444488888888888888888888888888888888888888881616161616161616163636363672727272144
order1222333344446666666666664121212121212121212121212121212128888121212122424242424242424242424242424242424242424242424242424242424242424266666666888844882
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1
χ41111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11
χ511111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1
χ611111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ711111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11
χ811111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1
χ9222222222-2-22222222222222-22222-2-2-2-22222-2-2-2-20000-2-2-2-20000000000000000000000000000000000000000000002-2000
χ10222222222-2-22222222222222-22222-2-2-2-22222-2-2-2-20000-2-2-2-2000000000000000000000000000000000000000000000-22000
χ1122222222-222-2222222222222-2-2-2-2-22222-2-2-2-222220000-2-2-2-20000000000000000000000000000000000000000022-2-200000
χ1222222222-222-2222222222222-2-2-2-2-22222-2-2-2-222220000-2-2-2-200000000000000000000000000000000000000000-2-22200000
χ1322222222-2-2-2-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2002i−2i222200000000000000002i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i000000000000000000
χ1422222222-2-2-2-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200−2i2i22220000000000000000−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i000000000000000000
χ1522222-1-1-12222222-1-1-1-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-122222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-1000000000
χ1622222-1-1-12222222-1-1-1-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-122-2-22-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111-2-2111111-2-2-2111111000000000
χ1722222-1-1-12222222-1-1-1-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-1-2-2222-1-1-1-2-2-2-211111111111122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2111111000000000
χ1822222-1-1-12222222-1-1-1-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-1-2-2-2-22-1-1-1-2-2-2-2111111111111-2-2111111-2-2111111222-1-1-1-1-1-1000000000
χ1922222-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-2111-2111-2111-2111002i−2i2-1-1-10000333333−3−3−3−3−3−32i2i−i−i−i−i−i−i−2i−2iiiiiii000−i3−i3−i3i3i3i3000000000
χ2022222-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-2111-2111-2111-2111002i−2i2-1-1-10000−3−3−3−3−3−33333332i2i−i−i−i−i−i−i−2i−2iiiiiii000i3i3i3−i3−i3−i3000000000
χ2122222-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-2111-2111-2111-211100−2i2i2-1-1-10000333333−3−3−3−3−3−3−2i−2iiiiiii2i2i−i−i−i−i−i−i000i3i3i3−i3−i3−i3000000000
χ2222222-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-2111-2111-2111-211100−2i2i2-1-1-10000−3−3−3−3−3−3333333−2i−2iiiiiii2i2i−i−i−i−i−i−i000−i3−i3−i3i3i3i3000000000
χ232222-12-1-12222-1-1-1222-1-1-1-1-1-12-12-1-1-12-1-1-12-1-1-12-1-12222-12-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-12-1-12-1-1000000000
χ242222-12-1-12222-1-1-1222-1-1-1-1-1-12-12-1-1-12-1-1-12-1-1-12-1-122-2-2-12-1-1-1-1-1-122-1-1-1-122-1-1-1-111-2-2111111-2-21111-211-211-211000000000
χ252222-12-1-12222-1-1-1222-1-1-1-1-1-12-12-1-1-12-1-1-12-1-1-12-1-1-2-222-12-1-11111-2-21111-2-21111-1-122-1-1-1-1-1-122-1-1-1-1-211-211-211000000000
χ262222-12-1-12222-1-1-1222-1-1-1-1-1-12-12-1-1-12-1-1-12-1-1-12-1-1-2-2-2-2-12-1-11111-2-21111-2-2111111-2-2111111-2-211112-1-12-1-12-1-1000000000
χ272222-12-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-121-2111-2111-2111-211002i−2i-12-1-133−3−30033−3−30033−3−3−i−i2i2i−i−i−i−iii−2i−2iiiii0−i3i30−i3i30−i3i3000000000
χ282222-12-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-121-2111-2111-2111-211002i−2i-12-1-1−3−33300−3−33300−3−333−i−i2i2i−i−i−i−iii−2i−2iiiii0i3−i30i3−i30i3−i3000000000
χ292222-12-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-121-2111-2111-2111-21100−2i2i-12-1-133−3−30033−3−30033−3−3ii−2i−2iiiii−i−i2i2i−i−i−i−i0i3−i30i3−i30i3−i3000000000
χ302222-12-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-121-2111-2111-2111-21100−2i2i-12-1-1−3−33300−3−33300−3−333ii−2i−2iiiii−i−i2i2i−i−i−i−i0−i3i30−i3i30−i3i3000000000
χ312222-1-12-12222-1-1-1-1-1-1222-1-1-12-1-12-1-1-12-1-1-12-1-1-12-12222-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-12-1-1-12-1-1-12000000000
χ322222-1-12-12222-1-1-1-1-1-1222-1-1-12-1-12-1-1-12-1-1-12-1-1-12-122-2-2-1-12-1-1-1-1-1-1-122-1-1-1-1-1-1221111-2-2111111-2-211-2111-2111-2000000000
χ332222-1-12-12222-1-1-1-1-1-1222-1-1-12-1-12-1-1-12-1-1-12-1-1-12-1-2-222-1-12-1111111-2-2111111-2-2-1-1-1-122-1-1-1-1-1-122-1-1-2111-2111-2000000000
χ342222-1-12-12222-1-1-1-1-1-1222-1-1-12-1-12-1-1-12-1-1-12-1-1-12-1-2-2-2-2-1-12-1111111-2-2111111-2-21111-2-2111111-2-2112-1-1-12-1-1-12000000000
χ352222-1-12-1-2-2-2-2-1-1-1-1-1-1222-1-1-1211-2111-2111-2111-21002i−2i-1-12-133−3−3−3−3003333−3−300−i−i−i−i2i2i−i−iiiii−2i−2iii0−i3i3i30−i3−i3i30000000000
χ362222-1-12-1-2-2-2-2-1-1-1-1-1-1222-1-1-1211-2111-2111-2111-21002i−2i-1-12-1−3−3333300−3−3−3−33300−i−i−i−i2i2i−i−iiiii−2i−2iii0i3−i3−i30i3i3−i30000000000
χ372222-1-12-1-2-2-2-2-1-1-1-1-1-1222-1-1-1211-2111-2111-2111-2100−2i2i-1-12-133−3−3−3−3003333−3−300iiii−2i−2iii−i−i−i−i2i2i−i−i0i3−i3−i30i3i3−i30000000000
χ382222-1-12-1-2-2-2-2-1-1-1-1-1-1222-1-1-1211-2111-2111-2111-2100−2i2i-1-12-1−3−3333300−3−3−3−33300iiii−2i−2iii−i−i−i−i2i2i−i−i0−i3i3i30−i3−i3i30000000000
χ392222-1-1-122222-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-122222-1-1-12-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-12-12-1000000000
χ402222-1-1-122222-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-1222-2-2-1-1-12-1-1-1-1-1-1-1-122-1-122-1-1111111-2-2111111-2-2-21111-21-21000000000
χ412222-1-1-122222-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-12-2-222-1-1-1211111111-2-211-2-211-1-1-1-1-1-122-1-1-1-1-1-122-21111-21-21000000000
χ422222-1-1-122222-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-12-2-2-2-2-1-1-1211111111-2-211-2-211111111-2-2111111-2-22-1-1-1-12-12-1000000000
χ432222-1-1-12-2-2-2-2-1-1-1-1-1-1-1-1-12222111-2111-2111-2111-2002i−2i-1-1-1233−3−333−3−300−3−30033−i−i−i−i−i−i2i2iiiiiii−2i−2i0−i3i3−i3i30i30−i3000000000
χ442222-1-1-12-2-2-2-2-1-1-1-1-1-1-1-1-12222111-2111-2111-2111-2002i−2i-1-1-12−3−333−3−333003300−3−3−i−i−i−i−i−i2i2iiiiiii−2i−2i0i3−i3i3−i30−i30i3000000000
χ452222-1-1-12-2-2-2-2-1-1-1-1-1-1-1-1-12222111-2111-2111-2111-200−2i2i-1-1-1233−3−333−3−300−3−30033iiiiii−2i−2i−i−i−i−i−i−i2i2i0i3−i3i3−i30−i30i3000000000
χ462222-1-1-12-2-2-2-2-1-1-1-1-1-1-1-1-12222111-2111-2111-2111-200−2i2i-1-1-12−3−333−3−333003300−3−3iiiiii−2i−2i−i−i−i−i−i−i2i2i0−i3i3−i3i30i30−i3000000000
χ4722-2-2222202-202-2-22-2-22-2-22-2-20000022220000-2-2-2-2−i2i2000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000000000000002-20000−i2i20
χ4822-2-2222202-202-2-22-2-22-2-22-2-20000022220000-2-2-2-2−i2i2000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000000000000-220000i2−i20
χ4922-2-2222202-202-2-22-2-22-2-22-2-20000022220000-2-2-2-2i2−i2000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000000000000002-20000i2−i20
χ5022-2-2222202-202-2-22-2-22-2-22-2-20000022220000-2-2-2-2i2−i2000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000000000000-220000−i2i20
χ5144444-2-2-24-4-44444-2-2-2-2-2-2-2-2-2-44-2-2-2-42224-2-2-2-42220000-422200000000000000000000000000000000000000000000000000
χ5244444-2-2-2-444-4444-2-2-2-2-2-2-2-2-2-4-42224-2-2-2-42224-2-2-20000-422200000000000000000000000000000000000000000000000000
χ534444-24-2-24-4-44-2-2-2444-2-2-2-2-2-2-4-24-2-22-422-24-2-22-42200002-42200000000000000000000000000000000000000000000000000
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χ864-4-44-24-2-2-400422-2-4-4422-222-20-24-2-200002-42200000000000000000000000000006−6006−6−66−6600−666−6000000000000000000
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χ904-4-44-2-24-2-400422-222-2-4-4422-20-2-24-2000022-4200000000000000000000000000006−6−66006−6−666−600−66000000000000000000
χ914-4-44-2-24-2-400422-222-2-4-4422-20-2-24-2000022-420000000000000000000000000000−666−600−666−6−66006−6000000000000000000
χ924-4-44-2-2-24400-422-222-222-2-4-440222-40000-2-2-240000000000000000000000000000i6−i6i6−i6−i6i600i6−i6i6−i6−i6i600000000000000000000
χ934-4-44-2-2-24400-422-222-222-2-4-440222-40000-2-2-240000000000000000000000000000−i6i6−i6i6i6−i600−i6i6−i6i6i6−i600000000000000000000
χ944-4-44-2-2-24-400422-222-222-2-4-440-2-2-240000222-400000000000000000000000000006−66−6−6600−66−666−600000000000000000000
χ954-4-44-2-2-24-400422-222-222-2-4-440-2-2-240000222-40000000000000000000000000000−66−666−6006−66−6−6600000000000000000000
χ968-88-88-4-4-40000-88-84-444-444-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-88-8-48-4-400004-44-88-84-444-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-48-400004-444-44-88-84-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4-4800004-444-444-44-88-8000000000000000000000000000000000000000000000000000000000000000000000000000

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