Finite Group Databasebeta

← Group #11867181

Character table — Group #11867181

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222244444444444444666666668888888888888812121212121212121212121212121212161616161616242424242424242424243636363648487272
order12223344666666366688121212122424242422224444246612121212242424242424666688881212121224242424666121212244466121224242488121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111111111-1-111-1-11111111111111111-1-111-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1111111-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111-1-111-1-11111111111111111-1-111-1-11111-1-1-1-1-1-11111111-1-11111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-111-1-111-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1
χ9111111111111111111-1-11111-1-1-1-1111111111-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1-11-11-111-1-1-1-111-1-11-1-11
χ10111111111111111111-1-11111-1-1-1-111111111-11-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1111-11-11-1-111-1-111-1-1-111-1
χ11111111111111111111-1-11111-1-1-1-111-1-111-1-11-111-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1111-1-1-1-1-111-1-11111-1-1111-11-1
χ12111111111111111111-1-11111-1-1-1-111-1-111-1-1-11-1-11111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-111111-1-111-1-111-1-111-11-11
χ13111111111111111111-1-11111-1-1-1-1-1-111-1-1111-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111111-1-1-111-1-111-1-1-1-1-1-111-111-1
χ14111111111111111111-1-11111-1-1-1-1-1-111-1-111-11-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1111-1-111-1-111-1-1-1-1111-1-11
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-11-11-1-1111111-1-1-11-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11111-11-111-1-11111-1-11-11-1
χ17222222-2-2222222222200-2-2-2-200002222-2-2-2-2000000-2-200000022220000-2-2-2-2000000000000000000002-2000000
χ18222222-2-2222222222200-2-2-2-2000022-2-2-2-222000000-2-200000022-2-2000022-2-200000000000000000000-22000000
χ19222222-2-2222222222200-2-2-2-20000-2-22222-2-2000000-2-2000000-2-2220000-2-22200000000000000000000-22000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-22222000000-2-2000000-2-2-2-200002222000000000000000000002-2000000
χ2122222-1222-1-12-12-1-1-1-122-12-1222220022002222-1-1-1-1-1-1-1-1-1-1-1-100-1-10022-1-10000002-1-12-1-12002-1-1-1-1-1-100000000
χ2222222-1222-1-12-12-1-1-1-122-12-12222200220022-2-21111-1-1-1-1-1-1-1-100-1-10022-1-1000000-211-211-200-21111-1-100000000
χ2322222-1222-1-12-12-1-1-1-122-12-12222200-2-200-2-222-1-1-1-1-1-1-1-1-1-1-1-1001100-2-2110000002-1-12-1-1-200-211111100000000
χ2422222-1222-1-12-12-1-1-1-122-12-12222200-2-200-2-2-2-21111-1-1-1-1-1-1-1-1001100-2-211000000-211-2112002-1-1-1-11100000000
χ2522222-1222-1-12-12-1-1-1-1-2-2-12-12-2-2-2-2002200222-2-1-111-1-111111100-1-100-2-2-1-10000002-1-1-211200-2-1-1111100000000
χ2622222-1222-1-12-12-1-1-1-1-2-2-12-12-2-2-2-200220022-2211-1-1-1-111111100-1-100-2-2-1-1000000-2112-1-1-200211-1-11100000000
χ2722222-1222-1-12-12-1-1-1-1-2-2-12-12-2-2-2-200-2-200-2-22-2-1-111-1-111111100110022110000002-1-1-211-200211-1-1-1-100000000
χ2822222-1222-1-12-12-1-1-1-1-2-2-12-12-2-2-2-200-2-200-2-2-2211-1-1-1-11111110011002211000000-2112-1-1200-2-1-111-1-100000000
χ292222-1222-122-12-1-1-1-1-1222-12-1-1-1-1-122002200222222-1-122-1-1-1-1-1-100220000-1-1-1-1-1-1-1-1-1-1-1-102200000000000-1-100
χ302222-1222-122-12-1-1-1-1-1222-12-1-1-1-1-122002200-2-2-2-2-2-2-1-122-1-1-1-1-1-100220000-1-1-1-1-1-11111110-2-2000000000001100
χ312222-1222-122-12-1-1-1-1-1222-12-1-1-1-1-1-2-200-2-200222222-1-122-1-1-1-11100-2-20000111111-1-1-1-1-1-10-2-2000000000001100
χ322222-1222-122-12-1-1-1-1-1222-12-1-1-1-1-1-2-200-2-200-2-2-2-2-2-2-1-122-1-1-1-11100-2-2000011111111111102200000000000-1-100
χ332222-1222-122-12-1-1-1-1-1-2-22-12-11111220022002-222-2-2-1-1-2-21111-1-100-2-20000-1-11111-1-1-11110-2200000000000-1100
χ342222-1222-122-12-1-1-1-1-1-2-22-12-1111122002200-22-2-222-1-1-2-21111-1-100-2-20000-1-11111111-1-1-102-2000000000001-100
χ352222-1222-122-12-1-1-1-1-1-2-22-12-11111-2-200-2-2002-222-2-2-1-1-2-21111110022000011-1-1-1-1-1-1-111102-2000000000001-100
χ362222-1222-122-12-1-1-1-1-1-2-22-12-11111-2-200-2-200-22-2-222-1-1-2-21111110022000011-1-1-1-1111-1-1-10-2200000000000-1100
χ372-22-2222-2-2-22-2-222-22-22i−2i22-2-22i2i−2i−2i002-2002-20000002-22i−2i2i2i−2i−2i002-2002i−2i2-2000000000000000000002i−2i00000000
χ382-22-2222-2-2-22-2-222-22-22i−2i22-2-22i2i−2i−2i00-2200-220000002-22i−2i2i2i−2i−2i00-2200−2i2i-2200000000000000000000−2i2i00000000
χ392-22-2222-2-2-22-2-222-22-2−2i2i22-2-2−2i−2i2i2i002-2002-20000002-2−2i2i−2i−2i2i2i002-200−2i2i2-200000000000000000000−2i2i00000000
χ402-22-2222-2-2-22-2-222-22-2−2i2i22-2-2−2i−2i2i2i00-2200-220000002-2−2i2i−2i−2i2i2i00-22002i−2i-22000000000000000000002i−2i00000000
χ412-22-222-22-2-22-2-222-22-200-2-2220000002-200-22000000-22000000002-22-200-220022-2-20000000000000000002-20000
χ422-22-222-22-2-22-2-222-22-200-2-2220000002-200-22000000-22000000002-2-2200-2200-2-222000000000000000000-220000
χ432-22-222-22-2-22-2-222-22-200-2-222000000-22002-2000000-2200000000-222-2002-20022-2-2000000000000000000-220000
χ442-22-222-22-2-22-2-222-22-200-2-222000000-22002-2000000-2200000000-22-22002-200-2-2220000000000000000002-20000
χ452-22-22-12-2-21-1-212-11-112i−2i-121-22i2i−2i−2i002-2002-200−i3i33−3-11−ii−i−iii00-11002i−2i-110000000−i3i303−30000−i3i33−3−ii00000000
χ462-22-22-12-2-21-1-212-11-112i−2i-121-22i2i−2i−2i002-2002-200i3−i3−33-11−ii−i−iii00-11002i−2i-110000000i3−i30−330000i3−i3−33−ii00000000
χ472-22-22-12-2-21-1-212-11-112i−2i-121-22i2i−2i−2i00-2200-2200−i3i33−3-11−ii−i−iii001-100−2i2i1-10000000−i3i303−30000i3−i3−33i−i00000000
χ482-22-22-12-2-21-1-212-11-112i−2i-121-22i2i−2i−2i00-2200-2200i3−i3−33-11−ii−i−iii001-100−2i2i1-10000000i3−i30−330000−i3i33−3i−i00000000
χ492-22-22-12-2-21-1-212-11-11−2i2i-121-2−2i−2i2i2i002-2002-200−i3i3−33-11i−iii−i−i00-1100−2i2i-110000000−i3i30−330000−i3i3−33i−i00000000
χ502-22-22-12-2-21-1-212-11-11−2i2i-121-2−2i−2i2i2i002-2002-200i3−i33−3-11i−iii−i−i00-1100−2i2i-110000000i3−i303−30000i3−i33−3i−i00000000
χ512-22-22-12-2-21-1-212-11-11−2i2i-121-2−2i−2i2i2i00-2200-2200−i3i3−33-11i−iii−i−i001-1002i−2i1-10000000−i3i30−330000i3−i33−3−ii00000000
χ522-22-22-12-2-21-1-212-11-11−2i2i-121-2−2i−2i2i2i00-2200-2200i3−i33−3-11i−iii−i−i001-1002i−2i1-10000000i3−i303−30000−i3i3−33−ii00000000
χ5344444-2-4-44-2-24-24-2-2-2-2002-42-40000004400-4-40000002200000000-2-2000022000000000000000000000000000000
χ5444444-2-4-44-2-24-24-2-2-2-2002-42-4000000-4-400440000002200000000220000-2-2000000000000000000000000000000
χ554444-24-4-4-244-24-2-2-2-2-200-42-4200004400-4-40000000022000000-2-200000000220000000000000000000000000000
χ564444-24-4-4-244-24-2-2-2-2-200-42-420000-4-4004400000000220000002200000000-2-20000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20000000044-2-2-2-211-2-211110000000000000000-211-211000000000000000000
χ584444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000000-4-4222211-2-2111100000000000000002-1-12-1-1000000000000000000
χ594444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-4-2-2221122-1-1-1-10000000000000000-2112-1-1000000000000000000
χ604444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-4422-2-21122-1-1-1-100000000000000002-1-1-211000000000000000000
χ6144-4-4440044-4-4-4-44-4-44000000000000004i−4i000000000000000000000000004i−4i0000000000000000000000000000
χ6244-4-4440044-4-4-4-44-4-4400000000000000−4i4i00000000000000000000000000−4i4i0000000000000000000000000000
χ6344-4-4-2400-24-42-42-222-2000000i6−i6i6−i600004i−4i000000000000i6−i6i6−i60000000000−2i2i6−66−6000000000000000000000000
χ6444-4-4-2400-24-42-42-222-2000000i6−i6i6−i60000−4i4i000000000000i6−i6i6−i600000000002i−2i−66−66000000000000000000000000
χ6544-4-4-2400-24-42-42-222-2000000−i6i6−i6i600004i−4i000000000000−i6i6−i6i60000000000−2i2i−66−66000000000000000000000000
χ6644-4-4-2400-24-42-42-222-2000000−i6i6−i6i60000−4i4i000000000000−i6i6−i6i600000000002i−2i6−66−6000000000000000000000000
χ674-44-44-2-44-42-2-424-22-22002-4-240000004-400-440000002-200000000-2200002-2000000000000000000000000000000
χ684-44-44-2-44-42-2-424-22-22002-4-24000000-44004-40000002-2000000002-20000-22000000000000000000000000000000
χ694-44-4-244-42-442-4-2-22-224i−4i4-2-42−2i−2i2i2i00000000000000-224i−4i−2i−2i2i2i0000000000000000000000000000000000000000
χ704-44-4-244-42-442-4-2-22-22−4i4i4-2-422i2i−2i−2i00000000000000-22−4i4i2i2i−2i−2i0000000000000000000000000000000000000000
χ714-44-4-24-442-442-4-2-22-2200-424-20000000000000000002-200000000004-4000000-2-222000000000000000000000000
χ724-44-4-24-442-442-4-2-22-2200-424-20000000000000000002-20000000000-4400000022-2-2000000000000000000000000
χ734-44-4-2-24-422-222-21-11-14i−4i-2-222−2i−2i2i2i0000000000−2i32i323−231-1−2i2iii−i−i00000000000000000i3−i30−33000000000000000000
χ744-44-4-2-24-422-222-21-11-14i−4i-2-222−2i−2i2i2i00000000002i3−2i3−23231-1−2i2iii−i−i00000000000000000−i3i303−3000000000000000000
χ754-44-4-2-24-422-222-21-11-1−4i4i-2-2222i2i−2i−2i0000000000−2i32i3−23231-12i−2i−i−iii00000000000000000i3−i303−3000000000000000000
χ764-44-4-2-24-422-222-21-11-1−4i4i-2-2222i2i−2i−2i00000000002i3−2i323−231-12i−2i−i−iii00000000000000000−i3i30−33000000000000000000
χ774-4-444400-4-4-444-444-4-400000000004-4000000000000000000004-400000000000000000000000000000000000000
χ784-4-444400-4-4-444-444-4-40000000000-4400000000000000000000-4400000000000000000000000000000000000000
χ794-4-44-24002-4-4-242-2-2220000006−6−664-400000000000000006−6−66-2200000000006−6−66000000000000000000000000
χ804-4-44-24002-4-4-242-2-2220000006−6−66-4400000000000000006−6−662-20000000000−666−6000000000000000000000000
χ814-4-44-24002-4-4-242-2-222000000−666−64-40000000000000000−666−6-220000000000−666−6000000000000000000000000
χ824-4-44-24002-4-4-242-2-222000000−666−6-440000000000000000−666−62-200000000006−6−66000000000000000000000000
χ838888-4-4-8-8-4-4-4-4-4-42222004444000000000000000000-2-20000000000000000000000000000000000000000000000
χ8488-8-88-4008-44-84-8-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4-400-4-444442-2-220000002i6−2i62i6−2i6000000000000000000−i6i6−i6i60000000000000000000000000000000000000000
χ8688-8-8-4-400-4-444442-2-22000000−2i62i6−2i62i6000000000000000000i6−i6i6−i60000000000000000000000000000000000000000
χ878-88-8-4-4-8844-444-42-22-20044-4-4000000000000000000-220000000000000000000000000000000000000000000000
χ888-8-888-400-8448-4-8-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400444-4-4422-2-200000026−26−2626000000000000000000−666−60000000000000000000000000000000000000000
χ908-8-88-4-400444-4-4422-2-2000000−262626−260000000000000000006−6−660000000000000000000000000000000000000000

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