Finite Group Databasebeta

← Group #11775725

Character table — Group #11775725

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222222222333344444444444444466666666888888888888812121212121212121212121212121216161616161624242424242424242424242424243636363636363636
order122233444466666644443466612121212121212121212224412121212441212121212121212121212466888888881212121212121212121224661212242424242424242488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-11-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-11-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1
χ9111111-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1111-1-111-1-1-1-11-1-1ii−i−iii−i−i11-1-11-111-1-11-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ10111111-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1111-1-111-1-1-1-11-1-1−i−iii−i−iii11-1-11-111-1-11-111-1-1−i−iii−i−iii−i−iii−i−iii
χ11111111-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-11111-1-1-1-11-1-1ii−i−i−i−iii11-1-1-11-1-111-11-1-111ii−i−i−i−iiiii−i−i−i−iii
χ12111111-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-11111-1-1-1-11-1-1−i−iiiii−i−i11-1-1-11-1-111-11-1-111−i−iiiii−i−i−i−iiiii−i−i
χ13111111-1-1-1-1111111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-11-1111-1-111-1-1-1-1-111ii−i−iii−i−i-1-1111-111-1-1-11-1-111ii−i−iii−i−i−i−iii−i−iii
χ14111111-1-1-1-1111111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-11-1111-1-111-1-1-1-1-111−i−iii−i−iii-1-1111-111-1-1-11-1-111−i−iii−i−iiiii−i−iii−i−i
χ15111111-1-1-1-1111111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-1-111ii−i−i−i−iii-1-111-11-1-1111-111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111111-1-1-1-1111111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-1-111−i−iiiii−i−i-1-111-11-1-1111-111-1-1−i−iiiii−i−iii−i−i−i−iii
χ1722222222-2-222222222222-222222-2-2-2-222-2-222-2-2222200-20000-2-222-2-2-22200000000-2-2-2-20000000000000000000000000000
χ1822222222-2-2222222-2-2-2-22-222222-2-2-2-222-2-2-2-222-2-2-2-200-20000-2-222-2-22-2-20000000022220000000000000000000000000000
χ19222222-2-22222222222222-2222-2-222-2-2-2-222-2-222222200-20000-2-2-2-222-2-2-200000000-2-2220000000000000000000000000000
χ20222222-2-222222222-2-2-2-22-2222-2-222-2-2-2-22222-2-2-2-2-2-200-20000-2-2-2-2222220000000022-2-20000000000000000000000000000
χ2122222-12222222-1-1-12222-12-1-1-1-1-1-1-1-1-122222222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-100000000-1-1-1-122-1-1-1-122-1-1-1-10000000000000000
χ2222222-12222222-1-1-12222-12-1-1-1-1-1-1-1-1-122222222-1-1-1-1-2-221111-1-1-1-1-1-12-1-100000000-1-1-1-1-2-21111-2-211110000000000000000
χ2322222-12222222-1-1-1-2-2-2-2-12-1-1-1-1-1-1-1-1-12222-2-2-2-21111222-1-1-1-1-1-1-1-1-1-1-21100000000111122-1-1-1-1-2-211110000000000000000
χ2422222-12222222-1-1-1-2-2-2-2-12-1-1-1-1-1-1-1-1-12222-2-2-2-21111-2-221111-1-1-1-1-1-1-211000000001111-2-2111122-1-1-1-10000000000000000
χ2522222-122-2-2222-1-1-12222-1-2-1-1-1-1-1111122-2-222-2-2-1-1-1-100-2−i3i3−i3i311-1-111-2-1-100000000111100−i3i3−i3i300−i3i3−i3i30000000000000000
χ2622222-122-2-2222-1-1-12222-1-2-1-1-1-1-1111122-2-222-2-2-1-1-1-100-2i3−i3i3−i311-1-111-2-1-100000000111100i3−i3i3−i300i3−i3i3−i30000000000000000
χ2722222-122-2-2222-1-1-1-2-2-2-2-1-2-1-1-1-1-1111122-2-2-2-222111100-2−i3i3−i3i311-1-11121100000000-1-1-1-100−i3i3−i3i300i3−i3i3−i30000000000000000
χ2822222-122-2-2222-1-1-1-2-2-2-2-1-2-1-1-1-1-1111122-2-2-2-222111100-2i3−i3i3−i311-1-11121100000000-1-1-1-100i3−i3i3−i300−i3i3−i3i30000000000000000
χ2922222-1-2-222222-1-1-12222-1-2-1-1-111-1-111-2-222-2-222-1-1-1-100-2−i3i3i3−i31111-1-1-2110000000011-1-100−i3i3i3−i300−i3i3i3−i30000000000000000
χ3022222-1-2-222222-1-1-12222-1-2-1-1-111-1-111-2-222-2-222-1-1-1-100-2i3−i3−i3i31111-1-1-2110000000011-1-100i3−i3−i3i300i3−i3−i3i30000000000000000
χ3122222-1-2-222222-1-1-1-2-2-2-2-1-2-1-1-111-1-111-2-22222-2-2111100-2−i3i3i3−i31111-1-12-1-100000000-1-11100−i3i3i3−i300i3−i3−i3i30000000000000000
χ3222222-1-2-222222-1-1-1-2-2-2-2-1-2-1-1-111-1-111-2-22222-2-2111100-2i3−i3−i3i31111-1-12-1-100000000-1-11100i3−i3−i3i300−i3i3i3−i30000000000000000
χ3322222-1-2-2-2-2222-1-1-12222-12-1-1-11111-1-1-2-2-2-2-2-2-2-2-1-1-1-12-22-1-111-1-1111121100000000-1-1112-2-1-1112-2-1-1110000000000000000
χ3422222-1-2-2-2-2222-1-1-12222-12-1-1-11111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-22211-1-1-1-1111121100000000-1-111-2211-1-1-2211-1-10000000000000000
χ3522222-1-2-2-2-2222-1-1-1-2-2-2-2-12-1-1-11111-1-1-2-2-2-2222211112-22-1-111-1-11111-2-1-10000000011-1-12-2-1-111-2211-1-10000000000000000
χ3622222-1-2-2-2-2222-1-1-1-2-2-2-2-12-1-1-11111-1-1-2-2-2-222221111-22211-1-1-1-11111-2-1-10000000011-1-1-2211-1-12-2-1-1110000000000000000
χ372222-122222-1-1-12220000-12-1-1-1222222-1-1-1-10000000022-12222-1-1-1-1-1-1000222222220000-1-1-1-1-1-1000000-1-1-1-1-1-1-1-100000000
χ382222-122222-1-1-12220000-12-1-1-1222222-1-1-1-10000000022-12222-1-1-1-1-1-1000-2-2-2-2-2-2-2-20000-1-1-1-1-1-10000001111111100000000
χ392222-122222-1-1-12220000-12-1-1-1222222-1-1-1-100000000-2-2-1-2-2-2-2-1-1-1-1-1-10002222-2-2-2-20000111111000000-1-1-1-1111100000000
χ402222-122222-1-1-12220000-12-1-1-1222222-1-1-1-100000000-2-2-1-2-2-2-2-1-1-1-1-1-1000-2-2-2-2222200001111110000001111-1-1-1-100000000
χ412222-12-2-2-2-2-1-1-12220000-12-1-1-1-2-2-2-2221111000000002-2-122-2-2-1-111110002i2i−2i−2i2i2i−2i−2i0000-11-1-111000000−i−iii−i−iii00000000
χ422222-12-2-2-2-2-1-1-12220000-12-1-1-1-2-2-2-2221111000000002-2-122-2-2-1-11111000−2i−2i2i2i−2i−2i2i2i0000-11-1-111000000ii−i−iii−i−i00000000
χ432222-12-2-2-2-2-1-1-12220000-12-1-1-1-2-2-2-222111100000000-22-1-2-222-1-111110002i2i−2i−2i−2i−2i2i2i00001-111-1-1000000−i−iiiii−i−i00000000
χ442222-12-2-2-2-2-1-1-12220000-12-1-1-1-2-2-2-222111100000000-22-1-2-222-1-11111000−2i−2i2i2i2i2i−2i−2i00001-111-1-1000000ii−i−i−i−iii00000000
χ4522-2-222002i−2i-22-22-2-222-2-220-22-2002i−2i00002i−2i002i−2i22-2-2000000000002i−2i0001+i−1−i1−i−1+i0000002i−2i0000000000001+i−1−i1−i−1+i00001+i−1−i1−i−1+i0000
χ4622-2-222002i−2i-22-22-2-222-2-220-22-2002i−2i00002i−2i002i−2i22-2-2000000000002i−2i000−1−i1+i−1+i1−i0000002i−2i000000000000−1−i1+i−1+i1−i0000−1−i1+i−1+i1−i0000
χ4722-2-222002i−2i-22-22-2-2-2-22220-22-2002i−2i00002i−2i00−2i2i-2-222000000000002i−2i0001+i−1−i1−i−1+i000000−2i2i0000000000001+i−1−i1−i−1+i0000−1−i1+i−1+i1−i0000
χ4822-2-222002i−2i-22-22-2-2-2-22220-22-2002i−2i00002i−2i00−2i2i-2-222000000000002i−2i000−1−i1+i−1+i1−i000000−2i2i000000000000−1−i1+i−1+i1−i00001+i−1−i1−i−1+i0000
χ4922-2-22200−2i2i-22-22-2-222-2-220-22-200−2i2i0000−2i2i00−2i2i22-2-200000000000−2i2i0001−i−1+i1+i−1−i000000−2i2i0000000000001−i−1+i1+i−1−i00001−i−1+i1+i−1−i0000
χ5022-2-22200−2i2i-22-22-2-222-2-220-22-200−2i2i0000−2i2i00−2i2i22-2-200000000000−2i2i000−1+i1−i−1−i1+i000000−2i2i000000000000−1+i1−i−1−i1+i0000−1+i1−i−1−i1+i0000
χ5122-2-22200−2i2i-22-22-2-2-2-22220-22-200−2i2i0000−2i2i002i−2i-2-22200000000000−2i2i0001−i−1+i1+i−1−i0000002i−2i0000000000001−i−1+i1+i−1−i0000−1+i1−i−1−i1+i0000
χ5222-2-22200−2i2i-22-22-2-2-2-22220-22-200−2i2i0000−2i2i002i−2i-2-22200000000000−2i2i000−1+i1−i−1−i1+i0000002i−2i000000000000−1+i1−i−1−i1+i00001−i−1+i1+i−1−i0000
χ532-22-2222i−2i00-2-22-22-22i−2i2i−2i20-2-222i−2i00002i−2i002-2002i−2i2i−2i0000000002i−2i0002-200001−i−1+i1+i−1−i000000000000000000001−i−1+i1+i−1−i00001+i−1−i1−i−1+i
χ542-22-2222i−2i00-2-22-22-22i−2i2i−2i20-2-222i−2i00002i−2i002-2002i−2i2i−2i0000000002i−2i0002-20000−1+i1−i−1−i1+i00000000000000000000−1+i1−i−1−i1+i0000−1−i1+i−1+i1−i
χ552-22-2222i−2i00-2-22-22-2−2i2i−2i2i20-2-222i−2i00002i−2i00-2200−2i2i−2i2i0000000002i−2i000-2200001−i−1+i1+i−1−i000000000000000000001−i−1+i1+i−1−i0000−1−i1+i−1+i1−i
χ562-22-2222i−2i00-2-22-22-2−2i2i−2i2i20-2-222i−2i00002i−2i00-2200−2i2i−2i2i0000000002i−2i000-220000−1+i1−i−1−i1+i00000000000000000000−1+i1−i−1−i1+i00001+i−1−i1−i−1+i
χ572-22-222−2i2i00-2-22-22-22i−2i2i−2i20-2-22−2i2i0000−2i2i00-22002i−2i2i−2i000000000−2i2i000-2200001+i−1−i1−i−1+i000000000000000000001+i−1−i1−i−1+i0000−1+i1−i−1−i1+i
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χ624444-24-4-444-2-2-24440000-2-4-2-2-2-4-444-4-422-2-20000000000200002222-2-20000000000000000000000000000000000000000000
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χ894-4-444-200004-4-422-24i−4i−4i4i-20-2220000−2i32i300000000−2i2i2i−2i0000000−2i32i300000000000000023−23000000000000000000000000000000
χ904-4-444-200004-4-422-24i−4i−4i4i-20-22200002i3−2i300000000−2i2i2i−2i00000002i3−2i3000000000000000−2323000000000000000000000000000000
χ914-4-444-200004-4-422-2−4i4i4i−4i-20-2220000−2i32i3000000002i−2i−2i2i0000000−2i32i3000000000000000−2323000000000000000000000000000000
χ924-4-444-200004-4-422-2−4i4i4i−4i-20-22200002i3−2i3000000002i−2i−2i2i00000002i3−2i300000000000000023−23000000000000000000000000000000
χ9388-8-8-4-4008i−8i4-44-444000020-22-200−4i4i0000−4i4i00000000000000000002i−2i0000000000000000000000000000000000000000000
χ9488-8-8-4-400−8i8i4-44-444000020-22-2004i−4i00004i−4i0000000000000000000−2i2i0000000000000000000000000000000000000000000
χ958-88-8-4-48i−8i0044-44-44000020-2-22−4i4i0000−4i4i00000000000000000002i−2i000000000000000000000000000000000000000000000
χ968-88-8-4-4−8i8i0044-44-44000020-2-224i−4i00004i−4i0000000000000000000−2i2i000000000000000000000000000000000000000000000
χ978-8-88-480000-444-8-880000-40-44400000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-40000-44444-40000202-2-20000−4i34i300000000000000000002i3−2i300000000000000000000000000000000000000000000000
χ998-8-88-4-40000-44444-40000202-2-200004i3−4i30000000000000000000−2i32i300000000000000000000000000000000000000000000000

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