Finite Group Databasebeta

← Group #11921901

Character table — Group #11921901

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222223333446666666666888888881212161616161616161618181818242424242424242424242424242424242424242472727272
order1222344666222212124444446666366612121212121236661212121244444444121212121212121212121212121212122444
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ3111111111111111111-1-1-1-11111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-11111111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-11-11-1-1-11111-1-11111-1-1-1-11-11-1
χ611111-1-11111111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-11-1111-1-1-1-1111111-1-1-1-1-11-11
χ711111-1-11111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1111-11-1-1-11111-1-1-1-1-1-11111-11-11
χ811111-1-11111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-111-11-1111-1-1-1-111-1-1-1-111111-11-1
χ922222222222222222222222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222000000000000-1-1-1-1-1-1-1-10000
χ10222222222222222222-2-2-2-22222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2000000000000111111110000
χ1122222-2-22222222-2-2-2-222-2-22222-1-1-1-11111-2-2-1-1-1-1111122-2-2000000000000-1-1-1-111110000
χ1222222-2-22222222-2-2-2-2-2-2222222-1-1-1-11111-2-2-1-1-1-11111-2-2220000000000001111-1-1-1-10000
χ132222-122-1-1-12222-1-1220000-1-1-1-122222222-1-1-1-1-1-1-1-1-1-100002222-1-1-1-1-1-1-1-1000000000000
χ142222-122-1-1-12222-1-1220000-1-1-1-122222222-1-1-1-1-1-1-1-1-1-10000-2-2-2-211111111000000000000
χ152222-1-2-2-1-1-1222211-2-20000-1-1-1-12222-2-2-2-211-1-1-1-1111100002-22-211-1-1-1-111000000000000
χ162222-1-2-2-1-1-1222211-2-20000-1-1-1-12222-2-2-2-211-1-1-1-111110000-22-22-1-11111-1-1000000000000
χ1722-2-2200-2-222-22-20000002i−2i2-22-222-2-20000002-2-220000002i−2i00000000000000002i2i−2i−2i0000
χ1822-2-2200-2-222-22-20000002i−2i2-22-2-1-111−i3−i3i3i300-111-1−i3−i3i3i3002i−2i00000000000033−3−3−i−iii0000
χ1922-2-2200-2-222-22-20000002i−2i2-22-2-1-111i3i3−i3−i300-111-1i3i3−i3−i3002i−2i000000000000−3−333−i−iii0000
χ2022-2-2200-2-222-22-2000000−2i2i2-22-222-2-20000002-2-22000000−2i2i0000000000000000−2i−2i2i2i0000
χ2122-2-2200-2-222-22-2000000−2i2i2-22-2-1-111−i3−i3i3i300-111-1−i3−i3i3i300−2i2i000000000000−3−333ii−i−i0000
χ2222-2-2200-2-222-22-2000000−2i2i2-22-2-1-111i3i3−i3−i300-111-1i3i3−i3−i300−2i2i00000000000033−3−3ii−i−i0000
χ232-22-222i−2i-22-2-222-22i−2i2i−2i00002-2-222-22-22i−2i2i−2i2i−2i22-2-22i−2i2i−2i0000000000000000000000000000
χ242-22-222i−2i-22-2-222-22i−2i2i−2i00002-2-22-11-11−ii−ii2i−2i-1-111−ii−ii0000000000000000−i3i3−i3i33−33−30000
χ252-22-222i−2i-22-2-222-22i−2i2i−2i00002-2-22-11-11−ii−ii2i−2i-1-111−ii−ii0000000000000000i3−i3i3−i3−33−330000
χ262-22-22−2i2i-22-2-222-2−2i2i−2i2i00002-2-222-22-2−2i2i−2i2i−2i2i22-2-2−2i2i−2i2i0000000000000000000000000000
χ272-22-22−2i2i-22-2-222-2−2i2i−2i2i00002-2-22-11-11i−ii−i−2i2i-1-111i−ii−i0000000000000000−i3i3−i3i3−33−330000
χ282-22-22−2i2i-22-2-222-2−2i2i−2i2i00002-2-22-11-11i−ii−i−2i2i-1-111i−ii−i0000000000000000i3−i3i3−i33−33−30000
χ292-22-2-12i−2i1-11-222-2−ii2i−2i0000-111-12-22-22i−2i2i−2i−ii-1-111−ii−ii00000000−i3i33−33−3−i3i3000000000000
χ302-22-2-12i−2i1-11-222-2−ii2i−2i0000-111-12-22-22i−2i2i−2i−ii-1-111−ii−ii00000000i3−i3−33−33i3−i3000000000000
χ312-22-2-1−2i2i1-11-222-2i−i−2i2i0000-111-12-22-2−2i2i−2i2ii−i-1-111i−ii−i00000000−i3i3−33−33−i3i3000000000000
χ322-22-2-1−2i2i1-11-222-2i−i−2i2i0000-111-12-22-2−2i2i−2i2ii−i-1-111i−ii−i00000000i3−i33−33−3i3−i3000000000000
χ332-2-222002-2-2-2-22200002i−2i0022-2-22-2-220000002-22-200002i−2i000000000000002i−2i−2i2i00000000
χ342-2-222002-2-2-2-22200002i−2i0022-2-2-111-13−3−3300-11-113−3−332i−2i00000000000000−iii−ii3−i3−i3i30000
χ352-2-222002-2-2-2-22200002i−2i0022-2-2-111-1−333−300-11-11−333−32i−2i00000000000000−iii−i−i3i3i3−i30000
χ362-2-222002-2-2-2-2220000−2i2i0022-2-22-2-220000002-22-20000−2i2i00000000000000−2i2i2i−2i00000000
χ372-2-222002-2-2-2-2220000−2i2i0022-2-2-111-13−3−3300-11-113−3−33−2i2i00000000000000i−i−ii−i3i3i3−i30000
χ382-2-222002-2-2-2-2220000−2i2i0022-2-2-111-1−333−300-11-11−333−3−2i2i00000000000000i−i−iii3−i3−i3i30000
χ393333333333-1-1-1-133-1-13333-1-1-1-100000000-1-100000000-1-1-1-111-1-11111-1-1-1-10000000011-1-1
χ403333333333-1-1-1-133-1-13333-1-1-1-100000000-1-100000000-1-1-1-1-1-111-1-1-1-1111100000000-1-111
χ413333333333-1-1-1-133-1-1-3-3-3-3-1-1-1-100000000-1-100000000111111-1-11111-1-1-1-100000000-1-111
χ423333333333-1-1-1-133-1-1-3-3-3-3-1-1-1-100000000-1-1000000001111-1-111-1-1-1-111110000000011-1-1
χ4333333-3-3333-1-1-1-1-3-31133-3-3-1-1-1-1000000001100000000-1-1111-1-11-1-111-1-111000000001-1-11
χ4433333-3-3333-1-1-1-1-3-31133-3-3-1-1-1-1000000001100000000-1-111-111-111-1-111-1-100000000-111-1
χ4533333-3-3333-1-1-1-1-3-311-3-333-1-1-1-100000000110000000011-1-11-1-11-1-111-1-11100000000-111-1
χ4633333-3-3333-1-1-1-1-3-311-3-333-1-1-1-100000000110000000011-1-1-111-111-1-111-1-1000000001-1-11
χ474444-244-2-2-24444-2-2440000-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ484444-2-4-4-2-2-2444422-4-40000-2-2-2-2-2-2-2-22222221111-1-1-1-10000000000000000000000000000
χ4944-4-4-20022-24-44-400000000-22-2244-4-4000000-222-200000000000000000000000000000000
χ5044-4-4-20022-24-44-400000000-22-22-2-222−2i3−2i32i32i3001-1-11i3i3−i3−i30000000000000000000000000000
χ5144-4-4-20022-24-44-400000000-22-22-2-2222i32i3−2i3−2i3001-1-11−i3−i3i3i30000000000000000000000000000
χ524-44-4-24i−4i2-22-444-4−2i2i4i−4i0000-222-2-22-22−2i2i−2i2i−2i2i11-1-1i−ii−i0000000000000000000000000000
χ534-44-4-2−4i4i2-22-444-42i−2i−4i4i0000-222-2-22-222i−2i2i−2i2i−2i11-1-1−ii−ii0000000000000000000000000000
χ544-4-44-200-222-4-44400000000-2-2224-4-44000000-22-2200000000000000000000000000000000
χ554-4-44-200-222-4-44400000000-2-222-222-223−23−2323001-11-1−333−30000000000000000000000000000
χ564-4-44-200-222-4-44400000000-2-222-222-2−232323−23001-11-13−3−330000000000000000000000000000
χ576666-366-3-3-3-2-2-2-2-3-3-2-200001111000000001100000000000022-2-2-1-1-1-11111000000000000
χ586666-366-3-3-3-2-2-2-2-3-3-2-2000011110000000011000000000000-2-2221111-1-1-1-1000000000000
χ596666-3-6-6-3-3-3-2-2-2-233220000111100000000-1-10000000000002-2-2211-1-111-1-1000000000000
χ606666-3-6-6-3-3-3-2-2-2-233220000111100000000-1-1000000000000-222-2-1-111-1-111000000000000
χ6166-6-6600-6-66-22-220000006i−6i-22-2200000000000000000000−2i2i000000000000000000000000
χ6266-6-6600-6-66-22-22000000−6i6i-22-22000000000000000000002i−2i000000000000000000000000
χ636-66-666i−6i-66-62-2-226i−6i−2i2i0000-222-200000000−2i2i000000000000000000000000000000000000
χ646-66-66−6i6i-66-62-2-22−6i6i2i−2i0000-222-2000000002i−2i000000000000000000000000000000000000
χ656-66-6-36i−6i3-332-2-22−3i3i−2i2i00001-1-1100000000i−i0000000000000000−i3i33−3−33i3−i3000000000000
χ666-66-6-36i−6i3-332-2-22−3i3i−2i2i00001-1-1100000000i−i0000000000000000i3−i3−333−3−i3i3000000000000
χ676-66-6-3−6i6i3-332-2-223i−3i2i−2i00001-1-1100000000−ii0000000000000000−i3i3−333−3i3−i3000000000000
χ686-66-6-3−6i6i3-332-2-223i−3i2i−2i00001-1-1100000000−ii0000000000000000i3−i33−3−33−i3i3000000000000
χ696-6-666006-6-622-2-200006i−6i00-2-222000000000000000000−2i2i00000000000000000000000000
χ706-6-666006-6-622-2-20000−6i6i00-2-2220000000000000000002i−2i00000000000000000000000000
χ711212-12-12-60066-6-44-44000000002-22-20000000000000000000000000000000000000000000000
χ7212-12-1212-600-66644-4-40000000022-2-20000000000000000000000000000000000000000000000

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