Finite Group Databasebeta

← Group #11867833

Character table — Group #11867833

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444466666666666688888888888888121212121212121212121616161616162424242424242424242424243636363648487272
order12223344666666366688121212122424242422448888121212122466121212122424242424242466882424242466612121244446121212121224242488121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-111-1-111111111111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1111111-11-111-1-1-1-1111-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-11-11-111111111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1111111-1-1
χ9111111111111111111-1-11111-1-1-1-11111-1-1-1-111111-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-1-111-11-1-1111-1-111-1-11-11-1
χ10111111111111111111-1-11111-1-1-1-11111-1-1-1-111111-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-111-1-1-111-111-1-111-11-11
χ11111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1-111-1-1-11-11
χ12111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111-1-1-111-1-1-111-1-1111-11-1
χ13111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-111-1-1-1-11111111-1-1-111-1-1111-1-11-1-1-1-1111-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-11-1-11-111-1-1-11111-1-1-111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1111-1-1111-1-1111-1-1-1-111-111-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1111-111-1-1-1-111-11111-1-11-1-11
χ17222222-2-2222222222200-2-2-2-2000022-2-20000-2-2-2-2000000-2-20000002-222000000000000000020000-200-22000000
χ18222222-2-2222222222200-2-2-2-2000022-2-20000-2-2-2-2000000-2-2000000-22220000000000000000-200002002-2000000
χ19222222-2-2222222222200-2-2-2-20000-2-22200002222000000-2-20000002-2-2-2000000000000000020000-2002-2000000
χ20222222-2-2222222222200-2-2-2-20000-2-22200002222000000-2-2000000-22-2-20000000000000000-20000200-22000000
χ2122222-1222-1-122-1-1-1-1-1222-12-1-1-1-1-122222222-1-1-1-122-1-1-1-1-1-122-1-1-1-100-1-100-1-1-1-12-1-12-1-120200-1-1-1-100000000000
χ2222222-1222-1-122-1-1-1-1-1222-12-1-1-1-1-122222222-1-1-1-1-2-21111-1-122-1-1-1-100-1-100-1-1-1-1-211-211-20-200111100000000000
χ2322222-1222-1-122-1-1-1-1-1222-12-1-1-1-1-1-2-2-2-2-2-2-2-2111122-1-1-1-1-1-122-1-1-1-100110011112-1-12-1-1-20-200111100000000000
χ2422222-1222-1-122-1-1-1-1-1222-12-1-1-1-1-1-2-2-2-2-2-2-2-21111-2-21111-1-122-1-1-1-10011001111-211-21120200-1-1-1-100000000000
χ2522222-1222-1-122-1-1-1-1-1-2-22-12-111112222-2-2-2-2-1-1-1-12-2-1-111-1-1-2-2111100-1-10011112-1-1-211-2020011-1-100000000000
χ2622222-1222-1-122-1-1-1-1-1-2-22-12-111112222-2-2-2-2-1-1-1-1-2211-1-1-1-1-2-2111100-1-1001111-2112-1-120-200-1-11100000000000
χ2722222-1222-1-122-1-1-1-1-1-2-22-12-11111-2-2-2-2222211112-2-1-111-1-1-2-21111001100-1-1-1-12-1-1-21120-200-1-11100000000000
χ2822222-1222-1-122-1-1-1-1-1-2-22-12-11111-2-2-2-222221111-2211-1-1-1-1-2-21111001100-1-1-1-1-2112-1-1-2020011-1-100000000000
χ292222-1222-122-1-12-1-1-1-122-12-122222000000000000222222-1-1-1-1-1-1-1-12200220000-1-1-1-1-1-10202-10000-1-1-10000-1-100
χ302222-1222-122-1-12-1-1-1-122-12-122222000000000000222222-1-1-1-1-1-1-1-1-2-200-2-20000-1-1-1-1-1-10-20-21000011100001100
χ312222-1222-122-1-12-1-1-1-122-12-122222000000000000-2-2-2-2-2-2-1-1-1-1-1-1-1-122002200001111110-20-2-10000-1-1-100001100
χ322222-1222-122-1-12-1-1-1-122-12-122222000000000000-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-200-2-200001111110202100001110000-1-100
χ332222-1222-122-1-12-1-1-1-1-2-2-12-12-2-2-2-20000000000002-222-2-2-1-11111112200-2-20000-1-1-1111020-2-10000-1110000-1100
χ342222-1222-122-1-12-1-1-1-1-2-2-12-12-2-2-2-20000000000002-222-2-2-1-1111111-2-200220000-1-1-11110-202100001-1-100001-100
χ352222-1222-122-1-12-1-1-1-1-2-2-12-12-2-2-2-2000000000000-22-2-222-1-11111112200-2-20000111-1-1-10-202-10000-11100001-100
χ362222-1222-122-1-12-1-1-1-1-2-2-12-12-2-2-2-2000000000000-22-2-222-1-1111111-2-200220000111-1-1-1020-2100001-1-10000-1100
χ372-2-22222-2-2-2-2-2222-22-22i−2i22-2-22i2i−2i−2i2-22-22i2i−2i−2i22-2-20000002-22i−2i2i2i−2i−2i002-2002i2i−2i−2i00000000000000000000000000
χ382-2-22222-2-2-2-2-2222-22-22i−2i22-2-22i2i−2i−2i-22-22−2i−2i2i2i-2-2220000002-22i−2i2i2i−2i−2i00-2200−2i−2i2i2i00000000000000000000000000
χ392-2-22222-2-2-2-2-2222-22-2−2i2i22-2-2−2i−2i2i2i2-22-2−2i−2i2i2i22-2-20000002-2−2i2i−2i−2i2i2i002-200−2i−2i2i2i00000000000000000000000000
χ402-2-22222-2-2-2-2-2222-22-2−2i2i22-2-2−2i−2i2i2i-22-222i2i−2i−2i-2-2220000002-2−2i2i−2i−2i2i2i00-22002i2i−2i−2i00000000000000000000000000
χ412-2-2222-22-2-2-2-2222-22-200-2-22200002-2-220000-2-222000000-22000000002-22-2000000000000000000002-2002-20000
χ422-2-2222-22-2-2-2-2222-22-200-2-22200002-2-220000-2-222000000-22000000002-2-2200000000000000000000-2200-220000
χ432-2-2222-22-2-2-2-2222-22-200-2-2220000-222-2000022-2-2000000-2200000000-222-2000000000000000000002-200-220000
χ442-2-2222-22-2-2-2-2222-22-200-2-2220000-222-2000022-2-2000000-2200000000-22-2200000000000000000000-22002-20000
χ452-2-222-12-2-211-22-1-11-112i−2i2-1-21−i−iii2-22-22i2i−2i−2i-1-11100−i3i33−3-112i−2i−i−iii00-1100−i−iii0−i3i303−3000003−3−i3i300000000000
χ462-2-222-12-2-211-22-1-11-112i−2i2-1-21−i−iii2-22-22i2i−2i−2i-1-11100i3−i3−33-112i−2i−i−iii00-1100−i−iii0i3−i30−3300000−33i3−i300000000000
χ472-2-222-12-2-211-22-1-11-112i−2i2-1-21−i−iii-22-22−2i−2i2i2i11-1-100−i3i33−3-112i−2i−i−iii001-100ii−i−i0−i3i303−300000−33i3−i300000000000
χ482-2-222-12-2-211-22-1-11-112i−2i2-1-21−i−iii-22-22−2i−2i2i2i11-1-100i3−i3−33-112i−2i−i−iii001-100ii−i−i0i3−i30−33000003−3−i3i300000000000
χ492-2-222-12-2-211-22-1-11-11−2i2i2-1-21ii−i−i2-22-2−2i−2i2i2i-1-11100−i3i3−33-11−2i2iii−i−i00-1100ii−i−i0−i3i30−3300000−33−i3i300000000000
χ502-2-222-12-2-211-22-1-11-11−2i2i2-1-21ii−i−i2-22-2−2i−2i2i2i-1-11100i3−i33−3-11−2i2iii−i−i00-1100ii−i−i0i3−i303−3000003−3i3−i300000000000
χ512-2-222-12-2-211-22-1-11-11−2i2i2-1-21ii−i−i-22-222i2i−2i−2i11-1-100−i3i3−33-11−2i2iii−i−i001-100−i−iii0−i3i30−33000003−3i3−i300000000000
χ522-2-222-12-2-211-22-1-11-11−2i2i2-1-21ii−i−i-22-222i2i−2i−2i11-1-100i3−i33−3-11−2i2iii−i−i001-100−i−iii0i3−i303−300000−33−i3i300000000000
χ5344444-2-4-44-2-244-2-2-2-2-200-42-42000044-4-4000022220000002200000000-2-200000000000000000000000000000000
χ5444444-2-4-44-2-244-2-2-2-2-200-42-420000-4-4440000-2-2-2-200000022000000002200000000000000000000000000000000
χ554444-24-4-4-244-2-24-2-2-2-2002-42-40000000000000000000000220000004-4000000000000000000-2000020000000000
χ564444-24-4-4-244-2-24-2-2-2-2002-42-4000000000000000000000022000000-4400000000000000000020000-20000000000
χ574444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000000000044-2-2-2-211-2-211110000000000-211-21100000000000000000000
χ584444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2000000000000-4-4222211-2-2111100000000002-1-12-1-100000000000000000000
χ594444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222220000000000004-4-2-2221122-1-1-1-10000000000-2112-1-100000000000000000000
χ604444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000000000-4422-2-21122-1-1-1-100000000002-1-1-21100000000000000000000
χ6144-4-444004-44-4-4-444-4-40000000000000022−2222−2200000000000000000000000022−2222−2200000000000000000000000000
χ6244-4-444004-44-4-4-444-4-400000000000000−2222−2222000000000000000000000000−2222−222200000000000000000000000000
χ6344-4-44-20042-2-4-42-2-2220000006−66−6000022−2222−2223−2323−2300000000006−66−6000000−22−2200000000000000000000000000
χ6444-4-44-20042-2-4-42-2-2220000006−66−60000−2222−2222−2323−232300000000006−66−60000002−22−200000000000000000000000000
χ6544-4-44-20042-2-4-42-2-222000000−66−66000022−2222−22−2323−23230000000000−66−66000000−22−2200000000000000000000000000
χ6644-4-44-20042-2-4-42-2-222000000−66−660000−2222−222223−2323−230000000000−66−660000002−22−200000000000000000000000000
χ674-44-44400-44-44-4-44-4-4400000000000000−2i22i22i2−2i2000000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ684-44-44400-44-44-4-44-4-44000000000000002i2−2i2−2i22i20000000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ694-44-44-200-4-224-42-222-2000000i6−i6−i6i60000−2i22i22i2−2i2−232323−230000000000i6−i6−i6i6000000i2−i2−i2i200000000000000000000000000
χ704-44-44-200-4-224-42-222-2000000i6−i6−i6i600002i2−2i2−2i22i223−23−23230000000000i6−i6−i6i6000000−i2i2i2−i200000000000000000000000000
χ714-44-44-200-4-224-42-222-2000000−i6i6i6−i60000−2i22i22i2−2i223−23−23230000000000−i6i6i6−i6000000i2−i2−i2i200000000000000000000000000
χ724-44-44-200-4-224-42-222-2000000−i6i6i6−i600002i2−2i2−2i22i2−232323−230000000000−i6i6i6−i6000000−i2i2i2−i200000000000000000000000000
χ734-4-444-2-44-422-44-2-22-2200-424-200004-4-44000022-2-20000002-200000000-2200000000000000000000000000000000
χ744-4-444-2-44-422-44-2-22-2200-424-20000-444-40000-2-2220000002-2000000002-200000000000000000000000000000000
χ754-4-44-244-42-4-42-24-22-224i−4i-242-44i4i−4i−4i000000000000000000-22−2i2i−2i−2i2i2i000000000000000000000000000000000000
χ764-4-44-244-42-4-42-24-22-22−4i4i-242-4−4i−4i4i4i000000000000000000-222i−2i2i2i−2i−2i000000000000000000000000000000000000
χ774-4-44-24-442-4-42-24-22-22002-4-2400000000000000000000002-200000000004-400000000000000000000-2200000000
χ784-4-44-24-442-4-42-24-22-22002-4-2400000000000000000000002-20000000000-44000000000000000000002-200000000
χ794-4-44-2-24-42222-2-21-11-14i−4i-2-222−2i−2i2i2i00000000000000−2i32i323−231-1−2i2iii−i−i00000000000i3−i30−3300000000000000000000
χ804-4-44-2-24-42222-2-21-11-14i−4i-2-222−2i−2i2i2i000000000000002i3−2i3−23231-1−2i2iii−i−i00000000000−i3i303−300000000000000000000
χ814-4-44-2-24-42222-2-21-11-1−4i4i-2-2222i2i−2i−2i00000000000000−2i32i3−23231-12i−2i−i−iii00000000000i3−i303−300000000000000000000
χ824-4-44-2-24-42222-2-21-11-1−4i4i-2-2222i2i−2i−2i000000000000002i3−2i323−231-12i−2i−i−iii00000000000−i3i30−3300000000000000000000
χ838888-4-4-8-8-4-4-4-4-4-422220044440000000000000000000000-2-2000000000000000000000000000000000000000000
χ8488-8-8-4800-4-8844-8-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4-400-44-444422-2-200000026−2626−260000000000000000000000−66−66000000000000000000000000000000000000
χ8688-8-8-4-400-44-444422-2-2000000−2626−262600000000000000000000006−66−6000000000000000000000000000000000000
χ878-88-8-480048-8-44-8-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-4-4004-44-4442-2-220000002i6−2i6−2i62i60000000000000000000000−i6i6i6−i6000000000000000000000000000000000000
χ898-88-8-4-4004-44-4442-2-22000000−2i62i62i6−2i60000000000000000000000i6−i6−i6i6000000000000000000000000000000000000
χ908-8-88-4-4-884444-4-42-22-20044-4-40000000000000000000000-22000000000000000000000000000000000000000000

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