Finite Group Databasebeta

← Group #11789828

Character table — Group #11789828

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111112222444444444444444488888888181818181818181818181818181818181818181818181818242424242424242424242424242424242424242424242424
order12222222444433666666666666661212121212121212444444448888888888888888224444446666121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ511111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ711111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ911-11-1-11-1ii−i−i1111-1-1-1111-1-1-11-1-1ii−i−iii−i−i1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−i1-1i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−i
χ1011-11-1-11-1ii−i−i1111-1-1-1111-1-1-11-1-1ii−i−iii−i−i1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−i-11−ii-11−ii-1-111−i−iii-1-111−i−iii
χ1111-11-1-11-1ii−i−i1111-1-1-1111-1-1-11-1-1ii−i−iii−i−i1-1ii−i−i1-1-1-1-1-11111−i−i−i−iiiii1-1i−i-11−ii11-1-1ii−i−i-1-111−i−iii
χ1211-11-1-11-1ii−i−i1111-1-1-1111-1-1-11-1-1ii−i−iii−i−i1-1ii−i−i1-1-1-1-1-11111−i−i−i−iiiii-11−ii1-1i−i-1-111−i−iii11-1-1ii−i−i
χ1311-11-1-11-1−i−iii1111-1-1-1111-1-1-11-1-1−i−iii−i−iii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii1-1−ii1-1−ii11-1-1−i−iii11-1-1−i−iii
χ1411-11-1-11-1−i−iii1111-1-1-1111-1-1-11-1-1−i−iii−i−iii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii-11i−i-11i−i-1-111ii−i−i-1-111ii−i−i
χ1511-11-1-11-1−i−iii1111-1-1-1111-1-1-11-1-1−i−iii−i−iii1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−i1-1−ii-11i−i11-1-1−i−iii-1-111ii−i−i
χ1611-11-1-11-1−i−iii1111-1-1-1111-1-1-11-1-1−i−iii−i−iii1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−i-11i−i1-1−ii-1-111ii−i−i11-1-1−i−iii
χ17222222222222222222222222222222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ1822222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-22222-2-20000000000000000000000000000000000000000
χ19222-2-22-2-20000222-22-2-22-2-22-22-2-2200000000002i−2i2i−2i00−i2−i2i2i2−i2−i2i2i222−2−222−2−2000000000000000000000000
χ20222-2-22-2-20000222-22-2-22-2-22-22-2-2200000000002i−2i2i−2i00i2i2−i2−i2i2i2−i2−i2−2−222−2−222000000000000000000000000
χ21222-2-22-2-20000222-22-2-22-2-22-22-2-220000000000−2i2i−2i2i00−i2−i2i2i2−i2−i2i2i2−2−222−2−222000000000000000000000000
χ22222-2-22-2-20000222-22-2-22-2-22-22-2-220000000000−2i2i−2i2i00i2i2−i2−i2i2i2−i2−i222−2−222−2−2000000000000000000000000
χ2322-22-2-22-22i2i−2i−2i2222-2-2-2222-2-2-22-2-22i2i−2i−2i2i2i−2i−2i-22−2i−2i2i2i-220000000000000000000000000000000000000000
χ2422-22-2-22-2−2i−2i2i2i2222-2-2-2222-2-2-22-2-2−2i−2i2i2i−2i−2i2i2i-222i2i−2i−2i-220000000000000000000000000000000000000000
χ2522-2-22-2-220000222-2-2222-2-2-22-2-22-200000000002-2-2200−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ2622-2-22-2-220000222-2-2222-2-2-22-2-22-200000000002-2-2200i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ2722-2-22-2-220000222-2-2222-2-2-22-2-22-20000000000-222-200−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ2822-2-22-2-220000222-2-2222-2-2-22-2-22-20000000000-222-200i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ292-222-2-2-222i−2i2i−2i22-2-222-2-22-222-22-2-22i−2i2i−2i2i−2i2i−2i000000002−22−22−22−2−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ302-222-2-2-222i−2i2i−2i22-2-222-2-22-222-22-2-22i−2i2i−2i2i−2i2i−2i00000000−22−22−22−22i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ312-222-2-2-22−2i2i−2i2i22-2-222-2-22-222-22-2-2−2i2i−2i2i−2i2i−2i2i000000002−22−22−22−2i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ322-222-2-2-22−2i2i−2i2i22-2-222-2-22-222-22-2-2−2i2i−2i2i−2i2i−2i2i00000000−22−22−22−22−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ332-22-22-22-2000022-222-22-2-222-2-2-22-2000000002-20000-222i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ342-22-22-22-2000022-222-22-2-222-2-2-22-2000000002-20000-22−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ352-22-22-22-2000022-222-22-2-222-2-2-22-200000000-2200002-2000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ362-22-22-22-2000022-222-22-2-222-2-2-22-200000000-2200002-200000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ372-2-2222-2-22-2-2222-2-2-2-22-22-2-2-222222-2-222-2-22000000002−22−2−22−22−22−222−22−2000000000000000000000000
χ382-2-2222-2-22-2-2222-2-2-2-22-22-2-2-222222-2-222-2-2200000000−22−222−22−22−22−2−22−22000000000000000000000000
χ392-2-2222-2-2-222-222-2-2-2-22-22-2-2-22222-222-2-222-2000000002−22−2−22−222−22−2−22−22000000000000000000000000
χ402-2-2222-2-2-222-222-2-2-2-22-22-2-2-22222-222-2-222-200000000−22−222−22−2−22−222−22−2000000000000000000000000
χ412-2-2-2-2222000022-22-22-2-2-22-222-2-2200000000220000-2-22i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ422-2-2-2-2222000022-22-22-2-2-22-222-2-2200000000220000-2-2−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ432-2-2-2-2222000022-22-22-2-2-22-222-2-2200000000-2-2000022000000002-2-22-222-2000000000000000000000000
χ442-2-2-2-2222000022-22-22-2-2-22-222-2-2200000000-2-200002200000000-222-22-2-22000000000000000000000000
χ454444444444441-211111-2-2-2-2-2-21-21-2-2-2-211110000000000000000000000000000222200000000-1-1-1-1-1-1-1-1
χ464444444444441-211111-2-2-2-2-2-21-21-2-2-2-211110000000000000000000000000000-2-2-2-20000000011111111
χ47444444444444-21-2-2-2-2-2111111-21-21111-2-2-2-200000000000000000000000022220000-1-1-1-1-1-1-1-100000000
χ48444444444444-21-2-2-2-2-2111111-21-21111-2-2-2-2000000000000000000000000-2-2-2-200001111111100000000
χ4944444444-4-4-4-41-211111-2-2-2-2-2-21-212222-1-1-1-1000000000000000000000000000022-2-200000000-1-1-1-11111
χ5044444444-4-4-4-41-211111-2-2-2-2-2-21-212222-1-1-1-10000000000000000000000000000-2-222000000001111-1-1-1-1
χ5144444444-4-4-4-4-21-2-2-2-2-2111111-21-2-1-1-1-1222200000000000000000000000022-2-20000-1-1-1-1111100000000
χ5244444444-4-4-4-4-21-2-2-2-2-2111111-21-2-1-1-1-12222000000000000000000000000-2-22200001111-1-1-1-100000000
χ5344-44-4-44-44i4i−4i−4i1-211-1-1-1-2-2-222212-1−2i−2i2i2iii−i−i00000000000000000000000000002-22i−2i00000000-1-111−i−iii
χ5444-44-4-44-44i4i−4i−4i1-211-1-1-1-2-2-222212-1−2i−2i2i2iii−i−i0000000000000000000000000000-22−2i2i0000000011-1-1ii−i−i
χ5544-44-4-44-44i4i−4i−4i-21-2-2222111-1-1-1-2-12ii−i−i−2i−2i2i2i0000000000000000000000002-22i−2i0000-1-111−i−iii00000000
χ5644-44-4-44-44i4i−4i−4i-21-2-2222111-1-1-1-2-12ii−i−i−2i−2i2i2i000000000000000000000000-22−2i2i000011-1-1ii−i−i00000000
χ5744-44-4-44-4−4i−4i4i4i1-211-1-1-1-2-2-222212-12i2i−2i−2i−i−iii00000000000000000000000000002-2−2i2i00000000-1-111ii−i−i
χ5844-44-4-44-4−4i−4i4i4i1-211-1-1-1-2-2-222212-12i2i−2i−2i−i−iii0000000000000000000000000000-222i−2i0000000011-1-1−i−iii
χ5944-44-4-44-4−4i−4i4i4i-21-2-2222111-1-1-1-2-12−i−iii2i2i−2i−2i0000000000000000000000002-2−2i2i0000-1-111ii−i−i00000000
χ6044-44-4-44-4−4i−4i4i4i-21-2-2222111-1-1-1-2-12−i−iii2i2i−2i−2i000000000000000000000000-222i−2i000011-1-1−i−iii00000000
χ614-444-4-4-444i−4i4i−4i1-2-1-111-12-22-2-2212-1−2i2i−2i2ii−ii−i0000000000000000000000000000000000000000−i3i3−i3i33−33−3
χ624-444-4-4-444i−4i4i−4i1-2-1-111-12-22-2-2212-1−2i2i−2i2ii−ii−i0000000000000000000000000000000000000000i3−i3i3−i3−33−33
χ634-444-4-4-444i−4i4i−4i-2122-2-22-11-111-1-2-12i−ii−i−2i2i−2i2i00000000000000000000000000000000−i3i3−i3i33−33−300000000
χ644-444-4-4-444i−4i4i−4i-2122-2-22-11-111-1-2-12i−ii−i−2i2i−2i2i00000000000000000000000000000000i3−i3i3−i3−33−3300000000
χ654-444-4-4-44−4i4i−4i4i1-2-1-111-12-22-2-2212-12i−2i2i−2i−ii−ii0000000000000000000000000000000000000000−i3i3−i3i3−33−33
χ664-444-4-4-44−4i4i−4i4i1-2-1-111-12-22-2-2212-12i−2i2i−2i−ii−ii0000000000000000000000000000000000000000i3−i3i3−i33−33−3
χ674-444-4-4-44−4i4i−4i4i-2122-2-22-11-111-1-2-12−ii−ii2i−2i2i−2i00000000000000000000000000000000−i3i3−i3i3−33−3300000000
χ684-444-4-4-44−4i4i−4i4i-2122-2-22-11-111-1-2-12−ii−ii2i−2i2i−2i00000000000000000000000000000000i3−i3i3−i33−33−300000000
χ694-4-4444-4-44-4-441-2-1-1-1-112-2222-21-21-222-21-1-110000000000000000000000000000000000000000−i3i3i3−i3−i3i3i3−i3
χ704-4-4444-4-44-4-441-2-1-1-1-112-2222-21-21-222-21-1-110000000000000000000000000000000000000000i3−i3−i3i3i3−i3−i3i3
χ714-4-4444-4-44-4-44-212222-2-11-1-1-11-21-21-1-11-222-200000000000000000000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ724-4-4444-4-44-4-44-212222-2-11-1-1-11-21-21-1-11-222-200000000000000000000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ734-4-4444-4-4-444-41-2-1-1-1-112-2222-21-212-2-22-111-10000000000000000000000000000000000000000−i3i3i3−i3i3−i3−i3i3
χ744-4-4444-4-4-444-41-2-1-1-1-112-2222-21-212-2-22-111-10000000000000000000000000000000000000000i3−i3−i3i3−i3i3i3−i3
χ754-4-4444-4-4-444-4-212222-2-11-1-1-11-21-2-111-12-2-2200000000000000000000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ764-4-4444-4-4-444-4-212222-2-11-1-1-11-21-2-111-12-2-2200000000000000000000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ77888-8-88-8-800002-42-22-2-2-444-44-4-24200000000000000000000000000000000000000000000000000000000
χ78888-8-88-8-80000-42-44-4442-2-22-224-2-400000000000000000000000000000000000000000000000000000000
χ7988-8-88-8-8800002-42-2-222-4444-44-2-4-200000000000000000000000000000000000000000000000000000000
χ8088-8-88-8-880000-42-444-4-42-2-2-22-242400000000000000000000000000000000000000000000000000000000
χ818-88-88-88-800002-4-222-2244-4-444-2-4-200000000000000000000000000000000000000000000000000000000
χ828-88-88-88-80000-424-4-44-4-2-222-2-242400000000000000000000000000000000000000000000000000000000
χ838-8-8-8-888800002-4-22-22-244-44-4-4-24200000000000000000000000000000000000000000000000000000000
χ848-8-8-8-88880000-424-44-44-2-22-2224-2-400000000000000000000000000000000000000000000000000000000

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