Finite Group Databasebeta

← Group #13140153

Character table — Group #13140153

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222224444446666666666666666121212121212121212121212121212121212121212121212363636363636363636363636363636363636363636363636363636363636363636363636
order122222223666666644121212123366666666666666366666661212121212121212121212121212121222444444444466661212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ51111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ81111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ922222222222222222222222-12222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200000000-1-1-1-100000000-1-1-1-100000000
χ1022222222222222222222222-12222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000111100000000111100000000
χ112222222222222222222222-12-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222200000000000000000000-1-1-1-1-1-1-1-1
χ122222222222222222222222-12-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-20000000000000000000011111111
χ132222222222222222-2-2-2-2-2-22-12222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-2-2-211111111111122-2-200000000-1-1-1-100000000111100000000
χ142222222222222222-2-2-2-2-2-22-12222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-22200000000111100000000-1-1-1-100000000
χ152222222222222222-2-2-2-2-2-2-12-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-11111-2-2-2-211111111000022-2-200000000000000000000-1-1-1-11111
χ162222222222222222-2-2-2-2-2-2-12-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-11111-2-2-2-2111111110000-2-222000000000000000000001111-1-1-1-1
χ17222-2-2-2-22222-2-2-2-2200000022222-2222-2-2-2-2-2-2-22222-2-2-2-20000000000000000002i−2i000000000000000000002i2i−2i−2i00000000
χ18222-2-2-2-22222-2-2-2-2200000022222-2222-2-2-2-2-2-2-22222-2-2-2-2000000000000000000−2i2i00000000000000000000−2i−2i2i2i00000000
χ19222-2-2-2-22222-2-2-2-220000002-1222-2-1-1-111-21-2-21-1-1-1-11111000033−3−33333−3−3−3−3002i−2i00000000−i3−i3i3i300000000−i−iii00000000
χ20222-2-2-2-22222-2-2-2-220000002-1222-2-1-1-111-21-2-21-1-1-1-11111000033−3−33333−3−3−3−300−2i2i00000000i3i3−i3−i300000000ii−i−i00000000
χ21222-2-2-2-22222-2-2-2-220000002-1222-2-1-1-111-21-2-21-1-1-1-111110000−3−333−3−3−3−33333002i−2i00000000i3i3−i3−i300000000−i−iii00000000
χ22222-2-2-2-22222-2-2-2-220000002-1222-2-1-1-111-21-2-21-1-1-1-111110000−3−333−3−3−3−3333300−2i2i00000000−i3−i3i3i300000000ii−i−i00000000
χ2322-222-2-2-222-22-2-22-2000000222-2-2-22-2-22-2222-2-222-2-22-2-22000000000000000000000000002i−2i000000002i2i−2i−2i000000000000
χ2422-222-2-2-222-22-2-22-2000000222-2-2-22-2-22-2222-2-222-2-22-2-2200000000000000000000000000−2i2i00000000−2i−2i2i2i000000000000
χ2522-2-2-222-222-2-222-2-2000000222-2-222-2-2-22-2-2-22222-2-2-222-2000000000000000000002i−2i00000000000000000000002i2i−2i−2i0000
χ2622-2-2-222-222-2-222-2-2000000222-2-222-2-2-22-2-2-22222-2-2-222-200000000000000000000−2i2i0000000000000000000000−2i−2i2i2i0000
χ2722-2-2-222-222-2-222-2-2000000-12-111-12-2-2-221-21-12-1-1111-1-1133−3−3000033−3−333−3−300002i−2i0000000000000000000000−i−iii−i3−i3i3i3
χ2822-2-2-222-222-2-222-2-2000000-12-111-12-2-2-221-21-12-1-1111-1-1133−3−3000033−3−333−3−30000−2i2i0000000000000000000000ii−i−ii3i3−i3−i3
χ2922-2-2-222-222-2-222-2-2000000-12-111-12-2-2-221-21-12-1-1111-1-11−3−3330000−3−333−3−33300002i−2i0000000000000000000000−i−iiii3i3−i3−i3
χ3022-2-2-222-222-2-222-2-2000000-12-111-12-2-2-221-21-12-1-1111-1-11−3−3330000−3−333−3−3330000−2i2i0000000000000000000000ii−i−i−i3−i3i3i3
χ312-222-22-2-22-22-22-22-200000022-22-2-2-22-2-2222-22-22-22-2-22-220000000000000000000000002i−2i0000002i2i−2i−2i0000000000000000
χ322-222-22-2-22-22-22-22-200000022-22-2-2-22-2-2222-22-22-22-2-22-22000000000000000000000000−2i2i000000−2i−2i2i2i0000000000000000
χ332-22-22-22-22-222-22-2-200000022-22-22-22-22-2-2-22-222-22-22-22-200000000000000000000002i−2i0000000000000000000000002i−2i2i−2i
χ342-22-22-22-22-222-22-2-200000022-22-22-22-22-2-2-22-222-22-22-22-20000000000000000000000−2i2i000000000000000000000000−2i2i−2i2i
χ352-22-22-22-22-222-22-2-2000000-121-11-1-22-22-21-2-112-11-11-11-113−33−300003−33−33−33−30000002i−2i00000000000000000000−i3i3−i3i3−ii−ii
χ362-22-22-22-22-222-22-2-2000000-121-11-1-22-22-21-2-112-11-11-11-113−33−300003−33−33−33−3000000−2i2i00000000000000000000i3−i3i3−i3i−ii−i
χ372-22-22-22-22-222-22-2-2000000-121-11-1-22-22-21-2-112-11-11-11-11−33−330000−33−33−33−330000002i−2i00000000000000000000i3−i3i3−i3−ii−ii
χ382-22-22-22-22-222-22-2-2000000-121-11-1-22-22-21-2-112-11-11-11-11−33−330000−33−33−33−33000000−2i2i00000000000000000000−i3i3−i3i3i−ii−i
χ392-2-22-2-2222-2-2-2-22222-222-2-222-2-222-2-22-2-222-2-222-2-22-2-2222-2-222-22-22-2-222-2-22000000000000000000000000000000000000
χ402-2-22-2-2222-2-2-2-22222-222-2-22-1-2-22211-1112-1-2-2-1-111-111-1-12-2-22-11-11-111-1-111-1000000000000−i3i3−i3i300000000−i3i3−i3i300000000
χ412-2-22-2-2222-2-2-2-22222-222-2-22-1-2-22211-1112-1-2-2-1-111-111-1-12-2-22-11-11-111-1-111-1000000000000i3−i3i3−i300000000i3−i3i3−i300000000
χ422-2-22-2-2222-2-2-2-22222-222-2-2-1211-1-1-2-22-2-2-12112-111-111-1-1-111-12-22-2-111-1-111-100000000000000000000000000003−3−33−333−3
χ432-2-22-2-2222-2-2-2-22222-222-2-2-1211-1-1-2-22-2-2-12112-111-111-1-1-111-12-22-2-111-1-111-10000000000000000000000000000−333−33−3−33
χ442-2-22-2-2222-2-2-2-2222-22-2-22222-2-222-2-22-2-222-2-222-2-22-2-222-222-2-22-22-222-2-222-2000000000000000000000000000000000000
χ452-2-22-2-2222-2-2-2-2222-22-2-2222-1-2-22211-1112-1-2-2-1-111-111-1-1-222-21-11-11-1-111-1-11000000000000−i3i3−i3i300000000i3−i3i3−i300000000
χ462-2-22-2-2222-2-2-2-2222-22-2-2222-1-2-22211-1112-1-2-2-1-111-111-1-1-222-21-11-11-1-111-1-11000000000000i3−i3i3−i300000000−i3i3−i3i300000000
χ472-2-22-2-2222-2-2-2-2222-22-2-222-1211-1-1-2-22-2-2-12112-111-111-1-11-1-11-22-221-1-111-1-1100000000000000000000000000003−3−333−3−33
χ482-2-22-2-2222-2-2-2-2222-22-2-222-1211-1-1-2-22-2-2-12112-111-111-1-11-1-11-22-221-1-111-1-110000000000000000000000000000−333−3−333−3
χ492-2-2-222-222-2-222-2-2200000022-2-22-2-2-2222-2-222-22-2-2222-2-200000000000000002-200000000002-2-2200000000000000000000
χ502-2-2-222-222-2-222-2-2200000022-2-22-2-2-2222-2-222-22-2-2222-2-20000000000000000-220000000000-222-200000000000000000000
χ512-2-2-222-222-2-222-2-220000002-1-2-22-211-1-1-1-21221-111-1-1-11100003−3−333−3−33−333−32-20000000000-111-1000000003−3−3300000000
χ522-2-2-222-222-2-222-2-220000002-1-2-22-211-1-1-1-21221-111-1-1-11100003−3−333−3−33−333−3-2200000000001-1-1100000000−333−300000000
χ532-2-2-222-222-2-222-2-220000002-1-2-22-211-1-1-1-21221-111-1-1-1110000−333−3−333−33−3−332-20000000000-111-100000000−333−300000000
χ542-2-2-222-222-2-222-2-220000002-1-2-22-211-1-1-1-21221-111-1-1-1110000−333−3−333−33−3−33-2200000000001-1-11000000003−3−3300000000
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
χ57444-4-4-4-44444-4-4-4-44000000-24-2-2-22444-4-42-422-4-2-2-2-222220000000000000000000000000000000000000000000000000000
χ58444-4-4-4-44444-4-4-4-44000000-2-2-2-2-22-2-2-222222221111-1-1-1-100002323−23−23−3−3−3−33333000000000000000000000000000000000000
χ59444-4-4-4-44444-4-4-4-44000000-2-2-2-2-22-2-2-222222221111-1-1-1-10000−23−2323233333−3−3−3−3000000000000000000000000000000000000
χ6044-444-4-4-444-44-4-44-40000004-24-4-4-4-222-224-24-42-2-222-222-20000000000000000000000000000000000000000000000000000
χ6144-444-4-4-444-44-4-44-4000000-24-22224-4-44-4-24-22-4-2-222-222-20000000000000000000000000000000000000000000000000000
χ6244-444-4-4-444-44-4-44-4000000-2-2-2222-222-22-2-2-22211-1-11-1-110000000033-3-3-3-333000000000000000000000000000000000000
χ6344-444-4-4-444-44-4-44-4000000-2-2-2222-222-22-2-2-22211-1-11-1-1100000000-3-33333-3-3000000000000000000000000000000000000
χ6444-4-4-444-444-4-444-4-40000004-24-4-44-2222-2-42-44-2-2-2222-2-220000000000000000000000000000000000000000000000000000
χ6544-4-4-444-444-4-444-4-4000000-2-2-222-2-2222-2222-2-211-1-1-111-12323−23−230000−3−333−3−333000000000000000000000000000000000000
χ6644-4-4-444-444-4-444-4-4000000-2-2-222-2-2222-2222-2-211-1-1-111-1−23−232323000033−3−333−3−3000000000000000000000000000000000000
χ674-444-44-4-44-44-44-44-40000004-2-44-4-42-222-24-2-442-22-222-22-20000000000000000000000000000000000000000000000000000
χ684-444-44-4-44-44-44-44-4000000-242-222-44-4-44-242-2-4-22-222-22-20000000000000000000000000000000000000000000000000000
χ694-444-44-4-44-44-44-44-4000000-2-22-2222-222-2-2-22-221-11-1-11-11000000003-33-3-33-33000000000000000000000000000000000000
χ704-444-44-4-44-44-44-44-4000000-2-22-2222-222-2-2-22-221-11-1-11-1100000000-33-333-33-3000000000000000000000000000000000000
χ714-44-44-44-44-444-44-4-40000004-2-44-442-22-22-424-4-2-22-22-22-220000000000000000000000000000000000000000000000000000
χ724-44-44-44-44-444-44-4-4000000-2-22-22-22-22-2222-22-21-11-11-11-123−2323−230000−33−33−33−33000000000000000000000000000000000000
χ734-44-44-44-44-444-44-4-4000000-2-22-22-22-22-2222-22-21-11-11-11-1−2323−232300003−33−33−33−3000000000000000000000000000000000000
χ744-4-44-4-4444-4-4-4-44444-444-4-4-2-222-2-222-222-2-222-21-1-11-1-111-222-2-22-221-1-111-1-11000000000000000000000000000000000000
χ754-4-44-4-4444-4-4-4-4444-44-4-444-2-222-2-222-222-2-222-21-1-11-1-1112-2-222-22-2-111-1-111-1000000000000000000000000000000000000
χ764-4-4-444-444-4-444-4-44000000-2422-22-4-44442-4-2-2-4-222-2-2-2220000000000000000000000000000000000000000000000000000
χ774-4-4-444-444-4-444-4-44000000-2-222-2222-2-2-222-2-221-1-1111-1-1000023−23−2323−333−33−3−33000000000000000000000000000000000000
χ784-4-4-444-444-4-444-4-44000000-2-222-2222-2-2-222-2-221-1-1111-1-10000−232323−233−3−33−333−3000000000000000000000000000000000000
χ7966666666-3-3-3-3-3-3-3-366-3-3-3-300000000000000000000000000000000000000000000000022220000-1-1-1-1-1-1-1-1000000000000
χ8066666666-3-3-3-3-3-3-3-366-3-3-3-3000000000000000000000000000000000000000000000000-2-2-2-2000011111111000000000000
χ8166666666-3-3-3-3-3-3-3-3-6-6333300000000000000000000000000000000000000000000000022-2-20000-1-1-1-11111000000000000
χ8266666666-3-3-3-3-3-3-3-3-6-63333000000000000000000000000000000000000000000000000-2-22200001111-1-1-1-1000000000000
χ8366-666-6-6-6-3-33-333-3300−3i33i3−3i33i3000000000000000000000000000000000000000000000000002i−2i00003−33−3−i−iii000000000000
χ8466-666-6-6-6-3-33-333-3300−3i33i3−3i33i300000000000000000000000000000000000000000000000000−2i2i0000−33−33ii−i−i000000000000
χ8566-666-6-6-6-3-33-333-33003i3−3i33i3−3i3000000000000000000000000000000000000000000000000002i−2i0000−33−33−i−iii000000000000
χ8666-666-6-6-6-3-33-333-33003i3−3i33i3−3i300000000000000000000000000000000000000000000000000−2i2i00003−33−3ii−i−i000000000000
χ876-666-66-6-6-33-33-33-3300−3i33i33i3−3i30000000000000000000000000000000000000000000000002i−2i000000−i−iii3−33−3000000000000
χ886-666-66-6-6-33-33-33-3300−3i33i33i3−3i3000000000000000000000000000000000000000000000000−2i2i000000ii−i−i−33−33000000000000
χ896-666-66-6-6-33-33-33-33003i3−3i3−3i33i30000000000000000000000000000000000000000000000002i−2i000000−i−iii−33−33000000000000
χ906-666-66-6-6-33-33-33-33003i3−3i3−3i33i3000000000000000000000000000000000000000000000000−2i2i000000ii−i−i3−33−3000000000000
χ916-6-66-6-666-33333-3-3-36-6-3-33300000000000000000000000000000000000000000000000000000000−i3i3i3−i3−i3i3i3−i3000000000000
χ926-6-66-6-666-33333-3-3-36-6-3-33300000000000000000000000000000000000000000000000000000000i3−i3−i3i3i3−i3−i3i3000000000000
χ936-6-66-6-666-33333-3-3-3-6633-3-300000000000000000000000000000000000000000000000000000000−i3i3i3−i3i3−i3−i3i3000000000000
χ946-6-66-6-666-33333-3-3-3-6633-3-300000000000000000000000000000000000000000000000000000000i3−i3−i3i3−i3i3i3−i3000000000000
χ95121212-12-12-12-1212-6-6-66666-60000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ961212-12-12-121212-12-6-666-6-6660000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9712-1212-1212-1212-12-66-6-66-6660000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9812-12-12-121212-1212-666-6-666-60000000000000000000000000000000000000000000000000000000000000000000000000000000000

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