Finite Group Databasebeta

← Group #11789829

Character table — Group #11789829

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
χ911-1-11-11-1ii−i−i1111-1-1111-1-1-1-11-1-1iiii−i−i−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
χ1011-1-11-11-1ii−i−i1111-1-1111-1-1-1-11-1-1iiii−i−i−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
χ1111-1-11-11-1ii−i−i1111-1-1111-1-1-1-11-1-1iiii−i−i−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
χ1211-1-11-11-1ii−i−i1111-1-1111-1-1-1-11-1-1iiii−i−i−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
χ1311-1-11-11-1−i−iii1111-1-1111-1-1-1-11-1-1−i−i−i−iiiii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii1-1−ii1-1−ii11-1-1−i−iii11-1-1−i−iii
χ1411-1-11-11-1−i−iii1111-1-1111-1-1-1-11-1-1−i−i−i−iiiii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii-11i−i-11i−i-1-111ii−i−i-1-111ii−i−i
χ1511-1-11-11-1−i−iii1111-1-1111-1-1-1-11-1-1−i−i−i−iiiii1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−i1-1−ii-11i−i11-1-1−i−iii-1-111ii−i−i
χ1611-1-11-11-1−i−iii1111-1-1111-1-1-1-11-1-1−i−i−i−iiiii1-1−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
χ19222-2-2-2-222i−2i2i−2i222-22-22-2-222-2-2-22-22i2i−2i−2i2i2i−2i−2i00000000−i2−i2i2i2−i2−i2i2i222−2−222−2−2000000000000000000000000
χ20222-2-2-2-222i−2i2i−2i222-22-22-2-222-2-2-22-22i2i−2i−2i2i2i−2i−2i00000000i2i2−i2−i2i2i2−i2−i2−2−222−2−222000000000000000000000000
χ21222-2-2-2-22−2i2i−2i2i222-22-22-2-222-2-2-22-2−2i−2i2i2i−2i−2i2i2i00000000−i2−i2i2i2−i2−i2i2i2−2−222−2−222000000000000000000000000
χ22222-2-2-2-22−2i2i−2i2i222-22-22-2-222-2-2-22-2−2i−2i2i2i−2i−2i2i2i00000000i2i2−i2−i2i2i2−i2−i222−2−222−2−2000000000000000000000000
χ2322-22-22-2-22-2-22222-2-222-2-2-2-222-2-2222-2-2-2-22200000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ2422-22-22-2-22-2-22222-2-222-2-2-2-222-2-2222-2-2-2-22200000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ2522-22-22-2-2-222-2222-2-222-2-2-2-222-2-22-2-22222-2-200000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ2622-22-22-2-2-222-2222-2-222-2-2-2-222-2-22-2-22222-2-200000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ2722-2-22-22-22i2i−2i−2i2222-2-2222-2-2-2-22-2-22i2i2i2i−2i−2i−2i−2i-22−2i−2i2i2i-220000000000000000000000000000000000000000
χ2822-2-22-22-2−2i−2i2i2i2222-2-2222-2-2-2-22-2-2−2i−2i−2i−2i2i2i2i2i-222i2i−2i−2i-220000000000000000000000000000000000000000
χ292-2222-2-2-2000022-2-22-2-22-22-2222-2-200000000002i−2i2i−2i002−22−22−22−2−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ302-2222-2-2-2000022-2-22-2-22-22-2222-2-200000000002i−2i2i−2i00−22−22−22−22i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ312-2222-2-2-2000022-2-22-2-22-22-2222-2-20000000000−2i2i−2i2i002−22−22−22−2i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ322-2222-2-2-2000022-2-22-2-22-22-2222-2-20000000000−2i2i−2i2i00−22−22−22−22−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ332-22-2-222-2000022-2222-2-222-2-2-2-2-22000000002-20000-222i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ342-22-2-222-2000022-2222-2-222-2-2-2-2-22000000002-20000-22−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ352-22-2-222-2000022-2222-2-222-2-2-2-2-2200000000-2200002-2000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ362-22-2-222-2000022-2222-2-222-2-2-2-2-2200000000-2200002-200000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ372-2-22-2-222000022-22-2-2-2-22-2222-22-200000000220000-2-22i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ382-2-22-2-222000022-22-2-2-2-22-2222-22-200000000220000-2-2−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ392-2-22-2-222000022-22-2-2-2-22-2222-22-200000000-2-2000022000000002-2-22-222-2000000000000000000000000
χ402-2-22-2-222000022-22-2-2-2-22-2222-22-200000000-2-200002200000000-222-22-2-22000000000000000000000000
χ412-2-2-222-22000022-2-2-22-22-2-22-2-222200000000002-2-22002−22−2−22−22−22−222−22−2000000000000000000000000
χ422-2-2-222-22000022-2-2-22-22-2-22-2-222200000000002-2-2200−22−222−22−22−22−2−22−22000000000000000000000000
χ432-2-2-222-22000022-2-2-22-22-2-22-2-22220000000000-222-2002−22−2−22−222−22−2−22−22000000000000000000000000
χ442-2-2-222-22000022-2-2-22-22-2-22-2-22220000000000-222-200−22−222−22−2−22−222−22−2000000000000000000000000
χ454444444444441-21111-2-2-2-2-21-211-21-21-21-21-20000000000000000000000000000222200000000-1-1-1-1-1-1-1-1
χ464444444444441-21111-2-2-2-2-21-211-21-21-21-21-20000000000000000000000000000-2-2-2-20000000011111111
χ47444444444444-21-2-2-2-211111-21-2-21-21-21-21-2100000000000000000000000022220000-1-1-1-1-1-1-1-100000000
χ48444444444444-21-2-2-2-211111-21-2-21-21-21-21-21000000000000000000000000-2-2-2-200001111111100000000
χ4944444444-4-4-4-41-21111-2-2-2-2-21-211-2-12-12-12-12000000000000000000000000000022-2-200000000-1-1-1-11111
χ5044444444-4-4-4-41-21111-2-2-2-2-21-211-2-12-12-12-120000000000000000000000000000-2-222000000001111-1-1-1-1
χ5144444444-4-4-4-4-21-2-2-2-211111-21-2-212-12-12-12-100000000000000000000000022-2-20000-1-1-1-1111100000000
χ5244444444-4-4-4-4-21-2-2-2-211111-21-2-212-12-12-12-1000000000000000000000000-2-22200001111-1-1-1-100000000
χ53444-4-4-4-444i−4i4i−4i1-21-11-1-222-2-2-12-112i−2i−i2ii−2i−i2i00000000000000000000000000000000000000003−33−3−i3i3−i3i3
χ54444-4-4-4-444i−4i4i−4i1-21-11-1-222-2-2-12-112i−2i−i2ii−2i−i2i0000000000000000000000000000000000000000−33−33i3−i3i3−i3
χ55444-4-4-4-444i−4i4i−4i-21-22-221-1-1112-12-2-1−2ii2i−i−2ii2i−i00000000000000000000000000000000−i3i3−i3i33−33−300000000
χ56444-4-4-4-444i−4i4i−4i-21-22-221-1-1112-12-2-1−2ii2i−i−2ii2i−i00000000000000000000000000000000i3−i3i3−i3−33−3300000000
χ57444-4-4-4-44−4i4i−4i4i1-21-11-1-222-2-2-12-112−i2ii−2i−i2ii−2i00000000000000000000000000000000000000003−33−3i3−i3i3−i3
χ58444-4-4-4-44−4i4i−4i4i1-21-11-1-222-2-2-12-112−i2ii−2i−i2ii−2i0000000000000000000000000000000000000000−33−33−i3i3−i3i3
χ59444-4-4-4-44−4i4i−4i4i-21-22-221-1-1112-12-2-12i−i−2ii2i−i−2ii00000000000000000000000000000000−i3i3−i3i3−33−3300000000
χ60444-4-4-4-44−4i4i−4i4i-21-22-221-1-1112-12-2-12i−i−2ii2i−i−2ii00000000000000000000000000000000i3−i3i3−i33−33−300000000
χ6144-44-44-4-44-4-441-21-1-11-222221-2-1-1-21-2-12-121-200000000000000000000000000000000000000003−3−33−333−3
χ6244-44-44-4-44-4-441-21-1-11-222221-2-1-1-21-2-12-121-20000000000000000000000000000000000000000−333−33−3−33
χ6344-44-44-4-44-4-44-21-222-21-1-1-1-1-21221-212-12-1-2100000000000000000000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ6444-44-44-4-44-4-44-21-222-21-1-1-1-1-21221-212-12-1-2100000000000000000000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ6544-44-44-4-4-444-41-21-1-11-222221-2-1-1-2-121-21-2-1200000000000000000000000000000000000000003−3−333−3−33
χ6644-44-44-4-4-444-41-21-1-11-222221-2-1-1-2-121-21-2-120000000000000000000000000000000000000000−333−3−333−3
χ6744-44-44-4-4-444-4-21-222-21-1-1-1-1-212212-1-21-212-100000000000000000000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ6844-44-44-4-4-444-4-21-222-21-1-1-1-1-212212-1-21-212-100000000000000000000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ6944-4-44-44-44i4i−4i−4i1-211-1-1-2-2-222-121-12i−2ii−2i−i2i−i2i00000000000000000000000000002-22i−2i00000000-1-111−i−iii
χ7044-4-44-44-44i4i−4i−4i1-211-1-1-2-2-222-121-12i−2ii−2i−i2i−i2i0000000000000000000000000000-22−2i2i0000000011-1-1ii−i−i
χ7144-4-44-44-44i4i−4i−4i-21-2-222111-1-12-1-22-1−2ii−2ii2i−i2i−i0000000000000000000000002-22i−2i0000-1-111−i−iii00000000
χ7244-4-44-44-44i4i−4i−4i-21-2-222111-1-12-1-22-1−2ii−2ii2i−i2i−i000000000000000000000000-22−2i2i000011-1-1ii−i−i00000000
χ7344-4-44-44-4−4i−4i4i4i1-211-1-1-2-2-222-121-12−i2i−i2ii−2ii−2i00000000000000000000000000002-2−2i2i00000000-1-111ii−i−i
χ7444-4-44-44-4−4i−4i4i4i1-211-1-1-2-2-222-121-12−i2i−i2ii−2ii−2i0000000000000000000000000000-222i−2i0000000011-1-1−i−iii
χ7544-4-44-44-4−4i−4i4i4i-21-2-222111-1-12-1-22-12i−i2i−i−2ii−2ii0000000000000000000000002-2−2i2i0000-1-111ii−i−i00000000
χ7644-4-44-44-4−4i−4i4i4i-21-2-222111-1-12-1-22-12i−i2i−i−2ii−2ii000000000000000000000000-222i−2i000011-1-1−i−iii00000000
χ778-8888-8-8-800002-4-2-22-24-44-442-42-2400000000000000000000000000000000000000000000000000000000
χ788-8888-8-8-80000-4244-44-22-22-2-42-44-200000000000000000000000000000000000000000000000000000000
χ798-88-8-888-800002-4-222244-4-44-24-2-2-400000000000000000000000000000000000000000000000000000000
χ808-88-8-888-80000-424-4-4-4-2-222-24-244200000000000000000000000000000000000000000000000000000000
χ818-8-88-8-88800002-4-22-2-244-44-42-4-22400000000000000000000000000000000000000000000000000000000
χ828-8-88-8-8880000-424-444-2-22-22-424-4-200000000000000000000000000000000000000000000000000000000
χ838-8-8-888-8800002-4-2-2-224-444-4-2422-400000000000000000000000000000000000000000000000000000000
χ848-8-8-888-880000-42444-4-22-2-224-2-4-4200000000000000000000000000000000000000000000000000000000

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