Finite Group Databasebeta

← Group #13140247

Character table — Group #13140247

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222224444446666666666666666121212121212121212121212121212121212121212121212363636363636363636363636363636363636363636363636363636363636363636363636
order1222222236666666441212121233666666666666663666666612121212121212121212121212121212222222444444666666666666121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ71111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ81111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ922222222222222222222222-122222-1-1-1-1-1-12-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000000-1-1-1-1-1-1-1-1000000000000
χ1022222222222222222222222-122222-1-1-1-1-1-12-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000000011111111000000000000
χ112222222222222222222222-12-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022220000-1-1-1-10000000000000000-1-1-1-1
χ122222222222222222222222-12-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-20000111100000000000000001111
χ132222222222222222-2-2-2-2-2-22-122222-1-1-1-1-1-12-12-1-1-1-1-1-1-1-1-2-2-2-211111111111122-2-2000000000000-1-1-1-11111000000000000
χ142222222222222222-2-2-2-2-2-22-122222-1-1-1-1-1-12-12-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2220000000000001111-1-1-1-1000000000000
χ152222222222222222-2-2-2-2-2-2-12-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-11111-2-2-2-211111111000022-2-20000-1-1-1-100000000000000001111
χ162222222222222222-2-2-2-2-2-2-12-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-11111-2-2-2-2111111110000-2-222000011110000000000000000-1-1-1-1
χ172222-2-2-2-22222-2-2-2-200000022222-2-2222-2-2-2-2-2-22222-2-2-2-200000000000000000000002i−2i0000000000000000000000002i2i−2i−2i
χ182222-2-2-2-22222-2-2-2-200000022222-2-2222-2-2-2-2-2-22222-2-2-2-20000000000000000000000−2i2i000000000000000000000000−2i−2i2i2i
χ192222-2-2-2-22222-2-2-2-2000000-12-1-1-111222-2-2-21-21-1-1-1-1111133−3−300003333−3−3−3−30000002i−2i0000−i3−i3i3i30000000000000000−i−iii
χ202222-2-2-2-22222-2-2-2-2000000-12-1-1-111222-2-2-21-21-1-1-1-1111133−3−300003333−3−3−3−3000000−2i2i0000i3i3−i3−i30000000000000000ii−i−i
χ212222-2-2-2-22222-2-2-2-2000000-12-1-1-111222-2-2-21-21-1-1-1-11111−3−3330000−3−3−3−333330000002i−2i0000i3i3−i3−i30000000000000000−i−iii
χ222222-2-2-2-22222-2-2-2-2000000-12-1-1-111222-2-2-21-21-1-1-1-11111−3−3330000−3−3−3−33333000000−2i2i0000−i3−i3i3i30000000000000000ii−i−i
χ2322-2-222-2-222-2-222-2-22-222-2-2222-2-2-2-22-2-22-2-222222-2-22-2-222-22-222-2-222-2-222-2-2000000000000000000000000000000000000
χ2422-2-222-2-222-2-222-2-22-222-2-22-12-2-2-2-2-111-1112-12-1-111-111-12-22-2-1-111-1-111-1-1110000000000000000−i3−i3i3i3−i3−i3i3i3000000000000
χ2522-2-222-2-222-2-222-2-22-222-2-22-12-2-2-2-2-111-1112-12-1-111-111-12-22-2-1-111-1-111-1-1110000000000000000i3i3−i3−i3i3i3−i3−i3000000000000
χ2622-2-222-2-222-2-222-2-22-222-2-2-12-111112-2-22-2-2-12-1-1-111-111-1-11-1122-2-2-1-111-1-111000000000000−i3i3−i3i30000000000000000−i3i3−i3i3
χ2722-2-222-2-222-2-222-2-22-222-2-2-12-111112-2-22-2-2-12-1-1-111-111-1-11-1122-2-2-1-111-1-111000000000000i3−i3i3−i30000000000000000i3−i3i3−i3
χ2822-2-222-2-222-2-222-2-2-22-2-222222-2-2-2-22-2-22-2-222222-2-22-2-22-22-22-2-222-2-222-2-222000000000000000000000000000000000000
χ2922-2-222-2-222-2-222-2-2-22-2-2222-12-2-2-2-2-111-1112-12-1-111-111-1-22-2211-1-111-1-111-1-10000000000000000−i3−i3i3i3i3i3−i3−i3000000000000
χ3022-2-222-2-222-2-222-2-2-22-2-2222-12-2-2-2-2-111-1112-12-1-111-111-1-22-2211-1-111-1-111-1-10000000000000000i3i3−i3−i3−i3−i3i3i3000000000000
χ3122-2-222-2-222-2-222-2-2-22-2-222-12-111112-2-22-2-2-12-1-1-111-111-11-11-1-2-22211-1-111-1-1000000000000−i3i3−i3i30000000000000000i3−i3i3−i3
χ3222-2-222-2-222-2-222-2-2-22-2-222-12-111112-2-22-2-2-12-1-1-111-111-11-11-1-2-22211-1-111-1-1000000000000i3−i3i3−i30000000000000000−i3i3−i3i3
χ3322-2-2-2-22222-2-2-2-222000000222-2-2222-2-2-222-2-2-222-2-2-222-2000000000000000000002-20000002-2-2200000000000000000000
χ3422-2-2-2-22222-2-2-2-222000000222-2-2222-2-2-222-2-2-222-2-2-222-200000000000000000000-22000000-222-200000000000000000000
χ3522-2-2-2-22222-2-2-2-222000000-12-111-1-12-2-2-2221-21-1-1111-1-113−3−33000033−3−3−3−33300002-2000000-111-100000000000000003−3−33
χ3622-2-2-2-22222-2-2-2-222000000-12-111-1-12-2-2-2221-21-1-1111-1-113−3−33000033−3−3−3−3330000-220000001-1-110000000000000000−333−3
χ3722-2-2-2-22222-2-2-2-222000000-12-111-1-12-2-2-2221-21-1-1111-1-11−333−30000−3−33333−3−300002-2000000-111-10000000000000000−333−3
χ3822-2-2-2-22222-2-2-2-222000000-12-111-1-12-2-2-2221-21-1-1111-1-11−333−30000−3−33333−3−30000-220000001-1-1100000000000000003−3−33
χ392-22-22-22-22-22-2-222-200000022-22-22-2-22-2-22-222-22-22-2-22-220000000000000000002-200000000000000002-22-2000000000000
χ402-22-22-22-22-22-2-222-200000022-22-22-2-22-2-22-222-22-22-2-22-22000000000000000000-220000000000000000-22-22000000000000
χ412-22-22-22-22-22-2-222-20000002-1-22-22-21-111-112-1-2-11-111-11-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3002-2000000000000−i3i3−i3i3-11-11000000000000
χ422-22-22-22-22-22-2-222-20000002-1-22-22-21-111-112-1-2-11-111-11-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300-22000000000000i3−i3i3−i31-11-1000000000000
χ432-22-22-22-22-22-2-222-20000002-1-22-22-21-111-112-1-2-11-111-11-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3002-2000000000000i3−i3i3−i3-11-11000000000000
χ442-22-22-22-22-22-2-222-20000002-1-22-22-21-111-112-1-2-11-111-11-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300-22000000000000−i3i3−i3i31-11-1000000000000
χ452-22-2-22-222-22-22-2-2200000022-22-2-22-22-22-22-2-222-22-22-22-20000000000000000000000002-20000000000000022-2-200000000
χ462-22-2-22-222-22-22-2-2200000022-22-2-22-22-22-22-2-222-22-22-22-2000000000000000000000000-2200000000000000-2-22200000000
χ472-2-222-2-222-2-22-22-2200000022-2-22-22-2-22-2-2222-22-2-22-2-22200000000000000002-2000000000000002-2-220000000000000000
χ482-2-222-2-222-2-22-22-2200000022-2-22-22-2-22-2-2222-22-2-22-2-2220000000000000000-2200000000000000-222-20000000000000000
χ492-2-222-2-222-2-22-22-220000002-1-2-22-2211-111-12-1-2-111-111-1-10000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i32-200000000000000-111-1−i3i3i3−i3000000000000
χ502-2-222-2-222-2-22-22-220000002-1-2-22-2211-111-12-1-2-111-111-1-10000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3-22000000000000001-1-11i3−i3−i3i3000000000000
χ512-2-222-2-222-2-22-22-220000002-1-2-22-2211-111-12-1-2-111-111-1-10000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i32-200000000000000-111-1i3−i3−i3i3000000000000
χ522-2-222-2-222-2-22-22-220000002-1-2-22-2211-111-12-1-2-111-111-1-10000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3-22000000000000001-1-11−i3i3i3−i3000000000000
χ532-2-22-222-22-2-222-22-200000022-2-222-2-2-2222-2-2-222-2-2222-2-2000000000000000000000000002-2000000000000000022-2-20000
χ542-2-22-222-22-2-222-22-200000022-2-222-2-2-2222-2-2-222-2-2222-2-200000000000000000000000000-220000000000000000-2-2220000
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
χ574444-4-4-4-44444-4-4-4-40000004-2444-4-4-2-2-2222-42-4-2-2-2-222220000000000000000000000000000000000000000000000000000
χ584444-4-4-4-44444-4-4-4-4000000-2-2-2-2-222-2-2-22222221111-1-1-1-12323−23−230000−3−3−3−33333000000000000000000000000000000000000
χ594444-4-4-4-44444-4-4-4-4000000-2-2-2-2-222-2-2-22222221111-1-1-1-1−23−23232300003333−3−3−3−3000000000000000000000000000000000000
χ6044-4-444-4-444-4-444-4-44-444-4-4-2-2-22222-222-222-2-2-211-1-11-1-11-22-22-2-22211-1-111-1-1000000000000000000000000000000000000
χ6144-4-444-4-444-4-444-4-4-44-4-444-2-2-22222-222-222-2-2-211-1-11-1-112-22-222-2-2-1-111-1-111000000000000000000000000000000000000
χ6244-4-4-4-44444-4-4-4-4440000004-24-4-444-2222-2-2-42-4-2-2222-2-220000000000000000000000000000000000000000000000000000
χ6344-4-4-4-44444-4-4-4-444000000-2-2-222-2-2-2222-2-222211-1-1-111-123−23−23230000−3−33333−3−3000000000000000000000000000000000000
χ6444-4-4-4-44444-4-4-4-444000000-2-2-222-2-2-2222-2-222211-1-1-111-1−232323−23000033−3−3−3−333000000000000000000000000000000000000
χ654-44-44-44-44-44-4-444-4000000-242-22-22-44-4-44-4-242-22-222-22-20000000000000000000000000000000000000000000000000000
χ664-44-44-44-44-44-4-444-4000000-2-22-22-222-222-22-2-221-11-1-11-110000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000
χ674-44-44-44-44-44-4-444-4000000-2-22-22-222-222-22-2-221-11-1-11-1100002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000
χ684-44-4-44-444-44-44-4-440000004-2-44-4-442-22-22-2-424-22-22-22-220000000000000000000000000000000000000000000000000000
χ694-44-4-44-444-44-44-4-44000000-242-222-2-44-44-442-4-2-22-22-22-220000000000000000000000000000000000000000000000000000
χ704-44-4-44-444-44-44-4-44000000-2-22-222-22-22-22-222-21-11-11-11-1000000003i−3i3i−3i−3i3i−3i3i000000000000000000000000000000000000
χ714-44-4-44-444-44-44-4-44000000-2-22-222-22-22-22-222-21-11-11-11-100000000−3i3i−3i3i3i−3i3i−3i000000000000000000000000000000000000
χ724-4-444-4-444-4-44-44-44000000-2422-22-2-4-44-4-44-242-222-222-2-20000000000000000000000000000000000000000000000000000
χ734-4-444-4-444-4-44-44-44000000-2-222-22-222-222-2-2-221-1-11-1-1110000−2i32i32i3−2i3i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000000000
χ744-4-444-4-444-4-44-44-44000000-2-222-22-222-222-2-2-221-1-11-1-11100002i3−2i3−2i32i3−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000000000
χ754-4-44-444-44-4-444-44-40000004-2-4-444-422-2-2-22-424-222-2-2-2220000000000000000000000000000000000000000000000000000
χ764-4-44-444-44-4-444-44-4000000-2422-2-22-4-4444-42-4-2-222-2-2-2220000000000000000000000000000000000000000000000000000
χ774-4-44-444-44-4-444-44-4000000-2-222-2-2222-2-2-2222-21-1-1111-1-1000000003i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000
χ784-4-44-444-44-4-444-44-4000000-2-222-2-2222-2-2-2222-21-1-1111-1-100000000−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000
χ7966666666-3-3-3-3-3-3-3-366-3-3-3-30000000000000000000000000000000000000000000000002222000000000000-1-1-1-1-1-1-1-10000
χ8066666666-3-3-3-3-3-3-3-366-3-3-3-3000000000000000000000000000000000000000000000000-2-2-2-2000000000000111111110000
χ8166666666-3-3-3-3-3-3-3-3-6-6333300000000000000000000000000000000000000000000000022-2-2000000000000-1-1-1-111110000
χ8266666666-3-3-3-3-3-3-3-3-6-63333000000000000000000000000000000000000000000000000-2-2220000000000001111-1-1-1-10000
χ8366-6-666-6-6-3-333-3-3336-6-3-33300000000000000000000000000000000000000000000000000000000000000003−33−33−33−30000
χ8466-6-666-6-6-3-333-3-3336-6-3-3330000000000000000000000000000000000000000000000000000000000000000−33−33−33−330000
χ8566-6-666-6-6-3-333-3-333-6633-3-300000000000000000000000000000000000000000000000000000000000000003−33−3−33−330000
χ8666-6-666-6-6-3-333-3-333-6633-3-30000000000000000000000000000000000000000000000000000000000000000−33−333−33−30000
χ876-66-6-66-66-33-33-333-30033−3333−330000000000000000000000000000000000000000000000002-200000000000000-1-1113−3−330000
χ886-66-6-66-66-33-33-333-30033−3333−33000000000000000000000000000000000000000000000000-220000000000000011-1-1−333−30000
χ896-66-6-66-66-33-33-333-300−3333−33330000000000000000000000000000000000000000000000002-200000000000000-1-111−333−30000
χ906-66-6-66-66-33-33-333-300−3333−3333000000000000000000000000000000000000000000000000-220000000000000011-1-13−3−330000
χ916-6-66-666-6-333-3-33-330033−33−3333000000000000000000000000000000000000000000000000002-2000000000000−333−3-1-1110000
χ926-6-66-666-6-333-3-33-330033−33−333300000000000000000000000000000000000000000000000000-220000000000003−3−3311-1-10000
χ936-6-66-666-6-333-3-33-3300−333333−33000000000000000000000000000000000000000000000000002-20000000000003−3−33-1-1110000
χ946-6-66-666-6-333-3-33-3300−333333−3300000000000000000000000000000000000000000000000000-22000000000000−333−311-1-10000
χ9512121212-12-12-12-12-6-6-6-666660000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ961212-12-12-12-121212-6-66666-6-60000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9712-1212-1212-1212-12-66-666-6-660000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9812-12-121212-12-1212-666-66-66-60000000000000000000000000000000000000000000000000000000000000000000000000000000000

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