Finite Group Databasebeta

← Group #11785360

Character table — Group #11785360

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111112222444444444444444488888888181818181818181818181818181818181818181818181818242424242424242424242424242424242424242424242424
order122222224444336666666666666612121212121212122222444488888888888888884444444412121212121212121212121212121212
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
χ511111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ711111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ9111-1-1-1-1111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11-1-111111-1-1-1-11111-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i
χ10111-1-1-1-1111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11-1-111111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii
χ11111-1-1-1-1111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11-1-11-1-1-1-11111-1-1-1-11111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii
χ12111-1-1-1-1111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11-1-11-1-1-1-11111-1-1-1-11111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i
χ13111-1-1-1-11-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111-1-111111-1-1-1-1-1-1-1-11111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii
χ14111-1-1-1-11-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111-1-111111-1-1-1-1-1-1-1-11111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i
χ15111-1-1-1-11-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111-1-11-1-1-1-111111111-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i
χ16111-1-1-1-11-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111-1-11-1-1-1-111111111-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii
χ17222222222222222222222222222222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ1822222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ19222-2-2-2-2222-2-2222222-2-2-2-222-2-2-2-22222-2-2-2-2-2-222-222-20000000000000000000000000000000000000000
χ20222-2-2-2-22-2-222222222-2-2-2-222-2-2-2-2-2-2-2-2222222-2-2-222-20000000000000000000000000000000000000000
χ2122-222-2-2-200002222-2-222-2-2-2-222-2-2000000002-22-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ2222-222-2-2-200002222-2-222-2-2-2-222-2-2000000002-22-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ2322-222-2-2-200002222-2-222-2-2-2-222-2-200000000-22-220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ2422-222-2-2-200002222-2-222-2-2-2-222-2-200000000-22-220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ2522-2-2-222-200002222-2-2-2-222-2-2-2-222000000002-2-220000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ2622-2-2-222-200002222-2-2-2-222-2-2-2-222000000002-2-220000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ2722-2-2-222-200002222-2-2-2-222-2-2-2-22200000000-222-20000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ2822-2-2-222-200002222-2-2-2-222-2-2-2-22200000000-222-20000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ292-222-22-2-22i−2i2i−2i22-2-2222-22-2-2-22-22-22i2i−2i−2i2i2i−2i−2i000000002−22−22−22−2−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ302-222-22-2-22i−2i2i−2i22-2-2222-22-2-2-22-22-22i2i−2i−2i2i2i−2i−2i00000000−22−22−22−22i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ312-222-22-2-2−2i2i−2i2i22-2-2222-22-2-2-22-22-2−2i−2i2i2i−2i−2i2i2i000000002−22−22−22−2i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ322-222-22-2-2−2i2i−2i2i22-2-2222-22-2-2-22-22-2−2i−2i2i2i−2i−2i2i2i00000000−22−22−22−22−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ332-22-22-22-22i−2i−2i2i22-2-222-22-22-2-2-22-222i2i−2i−2i−2i−2i2i2i000000002−22−2−22−22−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ342-22-22-22-22i−2i−2i2i22-2-222-22-22-2-2-22-222i2i−2i−2i−2i−2i2i2i00000000−22−222−22−2i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ352-22-22-22-2−2i2i2i−2i22-2-222-22-22-2-2-22-22−2i−2i2i2i2i2i−2i−2i000000002−22−2−22−22i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ362-22-22-22-2−2i2i2i−2i22-2-222-22-22-2-2-22-22−2i−2i2i2i2i2i−2i−2i00000000−22−222−22−2−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ372-2-22-2-222000022-2-2-2-22-2-22222-2-2200000000000022-2-22i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ382-2-22-2-222000022-2-2-2-22-2-22222-2-2200000000000022-2-2−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ392-2-22-2-222000022-2-2-2-22-2-22222-2-22000000000000-2-222000000002-2-222-2-22000000000000000000000000
χ402-2-22-2-222000022-2-2-2-22-2-22222-2-22000000000000-2-22200000000-222-2-222-2000000000000000000000000
χ412-2-2-222-22000022-2-2-2-2-222-222-222-20000000000002-22-22i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ422-2-2-222-22000022-2-2-2-2-222-222-222-20000000000002-22-2−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ432-2-2-222-22000022-2-2-2-2-222-222-222-2000000000000-22-22000000002-2-22-222-2000000000000000000000000
χ442-2-2-222-22000022-2-2-2-2-222-222-222-2000000000000-22-2200000000-222-22-2-22000000000000000000000000
χ454444444444441-21-21-211-2-21-2-2-2111-21-21-21-20000000000000000000000000000222200000000-1-1-1-1-1-1-1-1
χ464444444444441-21-21-211-2-21-2-2-2111-21-21-21-20000000000000000000000000000-2-2-2-20000000011111111
χ47444444444444-21-21-21-2-211-2111-2-2-21-21-21-2100000000000000000000000022220000-1-1-1-1-1-1-1-100000000
χ48444444444444-21-21-21-2-211-2111-2-2-21-21-21-21000000000000000000000000-2-2-2-200001111111100000000
χ4944444444-4-4-4-41-21-21-211-2-21-2-2-211-12-12-12-12000000000000000000000000000022-2-200000000-1-1-1-11111
χ5044444444-4-4-4-41-21-21-211-2-21-2-2-211-12-12-12-120000000000000000000000000000-2-222000000001111-1-1-1-1
χ5144444444-4-4-4-4-21-21-21-2-211-2111-2-22-12-12-12-100000000000000000000000022-2-20000-1-1-1-1111100000000
χ5244444444-4-4-4-4-21-21-21-2-211-2111-2-22-12-12-12-1000000000000000000000000-2-22200001111-1-1-1-100000000
χ53444-4-4-4-4444-4-41-21-21-2-1-1221-222-1-11-21-2-12-1200000000000000000000000000002i−2i2i−2i00000000−i−iii−i−iii
χ54444-4-4-4-4444-4-41-21-21-2-1-1221-222-1-11-21-2-12-120000000000000000000000000000−2i2i−2i2i00000000ii−i−iii−i−i
χ55444-4-4-4-4444-4-4-21-21-2122-1-1-21-1-122-21-212-12-10000000000000000000000002i−2i2i−2i0000−i−iii−i−iii00000000
χ56444-4-4-4-4444-4-4-21-21-2122-1-1-21-1-122-21-212-12-1000000000000000000000000−2i2i−2i2i0000ii−i−iii−i−i00000000
χ57444-4-4-4-44-4-4441-21-21-2-1-1221-222-1-1-12-121-21-200000000000000000000000000002i−2i−2i2i00000000−i−iiiii−i−i
χ58444-4-4-4-44-4-4441-21-21-2-1-1221-222-1-1-12-121-21-20000000000000000000000000000−2i2i2i−2i00000000ii−i−i−i−iii
χ59444-4-4-4-44-4-444-21-21-2122-1-1-21-1-1222-12-1-21-210000000000000000000000002i−2i−2i2i0000−i−iiiii−i−i00000000
χ60444-4-4-4-44-4-444-21-21-2122-1-1-21-1-1222-12-1-21-21000000000000000000000000−2i2i2i−2i0000ii−i−i−i−iii00000000
χ614-444-44-4-44i−4i4i−4i1-2-121-21-1-22-12-221-1i−2i−i2ii−2i−i2i0000000000000000000000000000000000000000−i3i3−i3i33−33−3
χ624-444-44-4-44i−4i4i−4i1-2-121-21-1-22-12-221-1i−2i−i2ii−2i−i2i0000000000000000000000000000000000000000i3−i3i3−i3−33−33
χ634-444-44-4-44i−4i4i−4i-212-1-21-221-12-11-1-22−2ii2i−i−2ii2i−i00000000000000000000000000000000−i3i3−i3i33−33−300000000
χ644-444-44-4-44i−4i4i−4i-212-1-21-221-12-11-1-22−2ii2i−i−2ii2i−i00000000000000000000000000000000i3−i3i3−i3−33−3300000000
χ654-444-44-4-4−4i4i−4i4i1-2-121-21-1-22-12-221-1−i2ii−2i−i2ii−2i0000000000000000000000000000000000000000−i3i3−i3i3−33−33
χ664-444-44-4-4−4i4i−4i4i1-2-121-21-1-22-12-221-1−i2ii−2i−i2ii−2i0000000000000000000000000000000000000000i3−i3i3−i33−33−3
χ674-444-44-4-4−4i4i−4i4i-212-1-21-221-12-11-1-222i−i−2ii2i−i−2ii00000000000000000000000000000000−i3i3−i3i3−33−3300000000
χ684-444-44-4-4−4i4i−4i4i-212-1-21-221-12-11-1-222i−i−2ii2i−i−2ii00000000000000000000000000000000i3−i3i3−i33−33−300000000
χ694-44-44-44-44i−4i−4i4i1-2-121-2-112-2-122-2-11i−2i−i2i−i2ii−2i00000000000000000000000000000000000000003−3−33i3−i3−i3i3
χ704-44-44-44-44i−4i−4i4i1-2-121-2-112-2-122-2-11i−2i−i2i−i2ii−2i0000000000000000000000000000000000000000−333−3−i3i3i3−i3
χ714-44-44-44-44i−4i−4i4i-212-1-212-2-112-1-112-2−2ii2i−i2i−i−2ii000000000000000000000000000000003−3−33i3−i3−i3i300000000
χ724-44-44-44-44i−4i−4i4i-212-1-212-2-112-1-112-2−2ii2i−i2i−i−2ii00000000000000000000000000000000−333−3−i3i3i3−i300000000
χ734-44-44-44-4−4i4i4i−4i1-2-121-2-112-2-122-2-11−i2ii−2ii−2i−i2i00000000000000000000000000000000000000003−3−33−i3i3i3−i3
χ744-44-44-44-4−4i4i4i−4i1-2-121-2-112-2-122-2-11−i2ii−2ii−2i−i2i0000000000000000000000000000000000000000−333−3i3−i3−i3i3
χ754-44-44-44-4−4i4i4i−4i-212-1-212-2-112-1-112-22i−i−2ii−2ii2i−i000000000000000000000000000000003−3−33−i3i3i3−i300000000
χ764-44-44-44-4−4i4i4i−4i-212-1-212-2-112-1-112-22i−i−2ii−2ii2i−i00000000000000000000000000000000−333−3i3−i3−i3i300000000
χ7788-888-8-8-800002-42-4-242244-24-4-4-2-200000000000000000000000000000000000000000000000000000000
χ7888-888-8-8-80000-42-424-2-4-4-2-24-2224400000000000000000000000000000000000000000000000000000000
χ7988-8-8-888-800002-42-4-24-2-2-4-4-24442200000000000000000000000000000000000000000000000000000000
χ8088-8-8-888-80000-42-424-244224-2-2-2-4-400000000000000000000000000000000000000000000000000000000
χ818-8-88-8-88800002-4-24-242-24-42-4-44-2200000000000000000000000000000000000000000000000000000000
χ828-8-88-8-8880000-424-24-2-44-22-422-24-400000000000000000000000000000000000000000000000000000000
χ838-8-8-888-8800002-4-24-24-22-442-44-42-200000000000000000000000000000000000000000000000000000000
χ848-8-8-888-880000-424-24-24-42-2-42-22-4400000000000000000000000000000000000000000000000000000000

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