Finite Group Databasebeta

← Group #13140228

Character table — Group #13140228

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222224444446666666666666666121212121212121212121212121212121212121212121212363636363636363636363636363636363636363636363636363636363636363636363636
order122222223666666644121212123366666666666666366666661212121212121212121212121212121222444444444466661212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ922222222222222222222222-12222-1-1-1-12-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000220000220000000000000000-1-1-1-1-1-1-1-1
χ1022222222222222222222222-12222-1-1-1-12-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-20000-2-2000000000000000011111111
χ112222222222222222222222-12-1-1-1-12222-12-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100220000220000000000-1-1-1-1-1-1-1-100000000
χ122222222222222222222222-12-1-1-1-12222-12-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-20000-2-200000000001111111100000000
χ132222222222222222-2-2-2-2-2-22-12222-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000220000-2-200000000000000001111-1-1-1-1
χ142222222222222222-2-2-2-2-2-22-12222-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000-2-20000220000000000000000-1-1-1-11111
χ152222222222222222-2-2-2-2-2-2-12-1-1-1-12222-12-1-122-1-1-1-1-1-1-1-11111-2-2-2-21111111100220000-2-20000000000-1-1-1-1111100000000
χ162222222222222222-2-2-2-2-2-2-12-1-1-1-12222-12-1-122-1-1-1-1-1-1-1-11111-2-2-2-21111111100-2-200002200000000001111-1-1-1-100000000
χ172222-2-2-2-22222-2-2-2-200000022222-2222-2-2-2-2-2-2-22222-2-2-2-200000000000000002-2000000000022-2-200000000000000000000
χ182222-2-2-2-22222-2-2-2-200000022222-2222-2-2-2-2-2-2-22222-2-2-2-20000000000000000-220000000000-2-22200000000000000000000
χ1922-2-222-2-222-2-22-22-2000000222-2-222-2-2-222-2-22-222-2-22-2-220000000000000000002i−2i00000000000000002i2i−2i−2i000000000000
χ2022-2-222-2-222-2-22-22-2000000222-2-222-2-2-222-2-22-222-2-22-2-22000000000000000000−2i2i0000000000000000−2i−2i2i2i000000000000
χ2122-2-222-2-222-2-22-22-2000000-12-111-12-2-2-2-12112-2-1-111-111-1−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3002i−2i0000000000000000−i−iii33−3−300000000
χ2222-2-222-2-222-2-22-22-2000000-12-111-12-2-2-2-12112-2-1-111-111-1−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i300−2i2i0000000000000000ii−i−i−3−33300000000
χ2322-2-222-2-222-2-22-22-2000000-12-111-12-2-2-2-12112-2-1-111-111-1i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3002i−2i0000000000000000−i−iii−3−33300000000
χ2422-2-222-2-222-2-22-22-2000000-12-111-12-2-2-2-12112-2-1-111-111-1i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i300−2i2i0000000000000000ii−i−i33−3−300000000
χ2522-2-2-2-22222-2-2-22-22000000222-2-2-22-2-22-2-222-2222-2-2-222-2000000000000000000000000002-2000000000000000022-2-20000
χ2622-2-2-2-22222-2-2-22-22000000222-2-2-22-2-22-2-222-2222-2-2-222-200000000000000000000000000-220000000000000000-2-2220000
χ2722-2-2-2-22222-2-2-22-220000002-12-2-2-2-111-1-21221-1-1-1111-1-11000033−3−333−3−333−3−300000000002-20000000000000000-1-11133−3−3
χ2822-2-2-2-22222-2-2-22-220000002-12-2-2-2-111-1-21221-1-1-1111-1-11000033−3−333−3−333−3−30000000000-22000000000000000011-1-1−3−333
χ2922-2-2-2-22222-2-2-22-220000002-12-2-2-2-111-1-21221-1-1-1111-1-110000−3−333−3−333−3−33300000000002-20000000000000000-1-111−3−333
χ3022-2-2-2-22222-2-2-22-220000002-12-2-2-2-111-1-21221-1-1-1111-1-110000−3−333−3−333−3−3330000000000-22000000000000000011-1-133−3−3
χ312-22-22-22-22-22-2-222-200000022-22-2-2-22-22222-2-2-22-22-2-22-22000000000000000000002i−2i000000000000000000000000002i−2i2i−2i
χ322-22-22-22-22-22-2-222-200000022-22-2-2-22-22222-2-2-22-22-2-22-2200000000000000000000−2i2i00000000000000000000000000−2i2i−2i2i
χ332-22-22-22-22-22-2-222-20000002-1-22-2-21-11-12-12-211-11-111-11-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300002i−2i00000000000000000000003−33−3−ii−ii
χ342-22-22-22-22-22-2-222-20000002-1-22-2-21-11-12-12-211-11-111-11-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000−2i2i0000000000000000000000−33−33i−ii−i
χ352-22-22-22-22-22-2-222-20000002-1-22-2-21-11-12-12-211-11-111-11-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300002i−2i0000000000000000000000−33−33−ii−ii
χ362-22-22-22-22-22-2-222-20000002-1-22-2-21-11-12-12-211-11-111-11-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000−2i2i00000000000000000000003−33−3i−ii−i
χ372-22-2-22-222-22-22-2-2200000022-22-22-22-2-2-2-2-22222-22-22-22-20000000000000000000000002-2000000000000002-22-200000000
χ382-22-2-22-222-22-22-2-2200000022-22-22-22-2-2-2-2-22222-22-22-22-2000000000000000000000000-2200000000000000-22-2200000000
χ392-22-2-22-222-22-22-2-22000000-121-11-1-22-2-21-21-122-11-11-11-113−33−300003−3−33−333−3000000002-200000000003−33−3-11-1100000000
χ402-22-2-22-222-22-22-2-22000000-121-11-1-22-2-21-21-122-11-11-11-113−33−300003−3−33−333−300000000-220000000000−33−331-11-100000000
χ412-22-2-22-222-22-22-2-22000000-121-11-1-22-2-21-21-122-11-11-11-11−33−330000−333−33−3−33000000002-20000000000−33−33-11-1100000000
χ422-22-2-22-222-22-22-2-22000000-121-11-1-22-2-21-21-122-11-11-11-11−33−330000−333−33−3−3300000000-2200000000003−33−31-11-100000000
χ432-2-222-2-222-2-22-2-22200000022-2-22-2-2-22-222-22-222-2-22-2-22200000000000000000000002-20000000022-2-20000000000000000
χ442-2-222-2-222-2-22-2-22200000022-2-22-2-2-22-222-22-222-2-22-2-2220000000000000000000000-2200000000-2-2220000000000000000
χ452-2-22-222-22-2-2222-2-22i−2i2i2i−2i−2i22-2-222-2-222-2-22-22-22-2-2222-2-22i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000
χ462-2-22-222-22-2-2222-2-22i−2i2i2i−2i−2i2-1-2-22211-1-1-212-2-11-111-1-1-1112i−2i−2i2i−iii−i−iii−i−iii−i00000000000000000000000000003−3−33i3−i3−i3i3
χ472-2-22-222-22-2-2222-2-22i−2i2i2i−2i−2i2-1-2-22211-1-1-212-2-11-111-1-1-1112i−2i−2i2i−iii−i−iii−i−iii−i0000000000000000000000000000−333−3−i3i3i3−i3
χ482-2-22-222-22-2-2222-2-22i−2i2i2i−2i−2i-1211-1-1-2-2221-2-112-2-111-1-1-111−iii−i2i−2i−2i2i−iii−i−iii−i00000000000000000000−i3i3i3−i3−333−300000000
χ492-2-22-222-22-2-2222-2-22i−2i2i2i−2i−2i-1211-1-1-2-2221-2-112-2-111-1-1-111−iii−i2i−2i−2i2i−iii−i−iii−i00000000000000000000i3−i3−i3i33−3−3300000000
χ502-2-22-222-22-2-2222-2-2−2i2i−2i−2i2i2i22-2-222-2-222-2-22-22-22-2-2222-2-2−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000
χ512-2-22-222-22-2-2222-2-2−2i2i−2i−2i2i2i2-1-2-22211-1-1-212-2-11-111-1-1-111−2i2i2i−2ii−i−iii−i−iii−i−ii00000000000000000000000000003−3−33−i3i3i3−i3
χ522-2-22-222-22-2-2222-2-2−2i2i−2i−2i2i2i2-1-2-22211-1-1-212-2-11-111-1-1-111−2i2i2i−2ii−i−iii−i−iii−i−ii0000000000000000000000000000−333−3i3−i3−i3i3
χ532-2-22-222-22-2-2222-2-2−2i2i−2i−2i2i2i-1211-1-1-2-2221-2-112-2-111-1-1-111i−i−ii−2i2i2i−2ii−i−iii−i−ii00000000000000000000−i3i3i3−i33−3−3300000000
χ542-2-22-222-22-2-2222-2-2−2i2i−2i−2i2i2i-1211-1-1-2-2221-2-112-2-111-1-1-111i−i−ii−2i2i2i−2ii−i−iii−i−ii00000000000000000000i3−i3−i3i3−333−300000000
χ554444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-211111111000000000000000000000000000000000000
χ564444444444444444-4-4-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ574444-4-4-4-44444-4-4-4-40000004-2444-4-2-2-22-42-4-422-2-2-2-222220000000000000000000000000000000000000000000000000000
χ584444-4-4-4-44444-4-4-4-4000000-24-2-2-22444-42-422-4-4-2-2-2-222220000000000000000000000000000000000000000000000000000
χ594444-4-4-4-44444-4-4-4-4000000-2-2-2-2-22-2-2-222222221111-1-1-1-1000000003i3i−3i−3i−3i−3i3i3i000000000000000000000000000000000000
χ604444-4-4-4-44444-4-4-4-4000000-2-2-2-2-22-2-2-222222221111-1-1-1-100000000−3i−3i3i3i3i3i−3i−3i000000000000000000000000000000000000
χ6144-4-444-4-444-4-44-44-40000004-24-4-44-22224-2-4-4-22-2-222-222-20000000000000000000000000000000000000000000000000000
χ6244-4-444-4-444-4-44-44-4000000-2-2-222-2-2222-2-222-2211-1-11-1-11−2i3−2i32i32i30000i3i3i3i3−i3−i3−i3−i3000000000000000000000000000000000000
χ6344-4-444-4-444-4-44-44-4000000-2-2-222-2-2222-2-222-2211-1-11-1-112i32i3−2i3−2i30000−i3−i3−i3−i3i3i3i3i3000000000000000000000000000000000000
χ6444-4-4-4-44444-4-4-44-44000000-24-22224-4-442-4-2-2-44-2-2222-2-220000000000000000000000000000000000000000000000000000
χ6544-4-4-4-44444-4-4-44-44000000-2-2-2222-222-222-2-22-211-1-1-111-100002323−23−23−3−333−3−333000000000000000000000000000000000000
χ6644-4-4-4-44444-4-4-44-44000000-2-2-2222-222-222-2-22-211-1-1-111-10000−23−23232333−3−333−3−3000000000000000000000000000000000000
χ674-44-44-44-44-44-4-444-4000000-242-222-44-44-24-22-4-4-22-222-22-20000000000000000000000000000000000000000000000000000
χ684-44-44-44-44-44-4-444-4000000-2-22-2222-22-2-2-2-22221-11-1-11-110000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000
χ694-44-44-44-44-44-4-444-4000000-2-22-2222-22-2-2-2-22221-11-1-11-1100002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000
χ704-44-4-44-444-44-44-4-440000004-2-44-442-222-42-44-2-2-22-22-22-220000000000000000000000000000000000000000000000000000
χ714-44-4-44-444-44-44-4-44000000-2-22-22-22-222222-2-2-21-11-11-11-123−2323−230000−333−33−3−33000000000000000000000000000000000000
χ724-44-4-44-444-44-44-4-44000000-2-22-22-22-222222-2-2-21-11-11-11-1−2323−232300003−3−33−333−3000000000000000000000000000000000000
χ734-4-444-4-444-4-44-4-4440000004-2-4-44-422-224-2-442-2-222-222-2-20000000000000000000000000000000000000000000000000000
χ744-4-444-4-444-4-44-4-444000000-2422-22-4-44-4-242-2-44-222-222-2-20000000000000000000000000000000000000000000000000000
χ754-4-444-4-444-4-44-4-444000000-2-222-2222-22-2-22-22-21-1-11-1-111000000003-33-3-33-33000000000000000000000000000000000000
χ764-4-444-4-444-4-44-4-444000000-2-222-2222-22-2-22-22-21-1-11-1-11100000000-33-333-33-3000000000000000000000000000000000000
χ774-4-44-444-44-4-4444-4-44i−4i4i4i−4i−4i-2-222-2-222-2-222-22-221-1-1111-1-1−2i2i2i−2i−2i2i2i−2ii−i−iii−i−ii000000000000000000000000000000000000
χ784-4-44-444-44-4-4444-4-4−4i4i−4i−4i4i4i-2-222-2-222-2-222-22-221-1-1111-1-12i−2i−2i2i2i−2i−2i2i−iii−i−iii−i000000000000000000000000000000000000
χ7966666666-3-3-3-3-3-3-3-366-3-3-3-30000000000000000000000000000000000000000220000220000-1-1-1-1-1-1-1-10000000000000000
χ8066666666-3-3-3-3-3-3-3-366-3-3-3-30000000000000000000000000000000000000000-2-20000-2-20000111111110000000000000000
χ8166666666-3-3-3-3-3-3-3-3-6-633330000000000000000000000000000000000000000220000-2-20000-1-1-1-111110000000000000000
χ8266666666-3-3-3-3-3-3-3-3-6-633330000000000000000000000000000000000000000-2-200002200001111-1-1-1-10000000000000000
χ836666-6-6-6-6-3-3-3-333330033−3333−3300000000000000000000000000000000000000002-20000000000-1-1113−33−30000000000000000
χ846666-6-6-6-6-3-3-3-333330033−3333−330000000000000000000000000000000000000000-22000000000011-1-1−33−330000000000000000
χ856666-6-6-6-6-3-3-3-3333300−3333−333300000000000000000000000000000000000000002-20000000000-1-111−33−330000000000000000
χ866666-6-6-6-6-3-3-3-3333300−3333−33330000000000000000000000000000000000000000-22000000000011-1-13−33−30000000000000000
χ876-6-666-6-66-333-333-3-300−3i33i33i3−3i300000000000000000000000000000000000000000000002-20000−i3i3−i3i3-1-1110000000000000000
χ886-6-666-6-66-333-333-3-300−3i33i33i3−3i30000000000000000000000000000000000000000000000-220000i3−i3i3−i311-1-10000000000000000
χ896-6-666-6-66-333-333-3-3003i3−3i3−3i33i300000000000000000000000000000000000000000000002-20000i3−i3i3−i3-1-1110000000000000000
χ906-6-666-6-66-333-333-3-3003i3−3i3−3i33i30000000000000000000000000000000000000000000000-220000−i3i3−i3i311-1-10000000000000000
χ916-6-66-666-6-333-3-3-3336i−6i−3i−3i3i3i0000000000000000000000000000000000000000000000000000−i3i3i3−i33−3−330000000000000000
χ926-6-66-666-6-333-3-3-3336i−6i−3i−3i3i3i0000000000000000000000000000000000000000000000000000i3−i3−i3i3−333−30000000000000000
χ936-6-66-666-6-333-3-3-333−6i6i3i3i−3i−3i0000000000000000000000000000000000000000000000000000−i3i3i3−i3−333−30000000000000000
χ946-6-66-666-6-333-3-3-333−6i6i3i3i−3i−3i0000000000000000000000000000000000000000000000000000i3−i3−i3i33−3−330000000000000000
χ951212-12-121212-12-12-6-666-66-660000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ961212-12-12-12-121212-6-6666-66-60000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9712-1212-1212-1212-12-66-666-6-660000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9812-1212-12-1212-1212-66-66-666-60000000000000000000000000000000000000000000000000000000000000000000000000000000000

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