Finite Group Databasebeta

← Group #13140130

Character table — Group #13140130

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222224444446666666666666666121212121212121212121212121212121212121212121212363636363636363636363636363636363636363636363636363636363636363636363636
order1222222236666666441212121233666666666666663666666612121212121212121212121212121212444444444444121212121212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ51111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ81111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ922222222222222222222222-12222-1-1-1-12-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022002200000000000000000000-1-1-1-1-1-1-1-1
χ1022222222222222222222222-12222-1-1-1-12-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-20000000000000000000011111111
χ112222222222222222222222-12-1-1-1-12222-12-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122002200000000000000-1-1-1-1-1-1-1-100000000
χ122222222222222222222222-12-1-1-1-12222-12-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200-2-2000000000000001111111100000000
χ132222222222222222-2-2-2-2-2-22-12222-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111002200-2-200000000000000000000-1-1-1-11111
χ142222222222222222-2-2-2-2-2-22-12222-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100-2-20022000000000000000000001111-1-1-1-1
χ152222222222222222-2-2-2-2-2-2-12-1-1-1-12222-12-1-122-1-1-1-1-1-1-1-11111-2-2-2-2111111112200-2-200000000000000-1-1-1-1111100000000
χ162222222222222222-2-2-2-2-2-2-12-1-1-1-12222-12-1-122-1-1-1-1-1-1-1-11111-2-2-2-211111111-2-20022000000000000001111-1-1-1-100000000
χ172222-2-2-2-2222-2-2-22-22-222-2-22222-2-222-2-222-2-2-2-2222-2-2-2-2222-2-222-2-22222-2-2-2-2000000000000000000000000000000000000
χ182222-2-2-2-2222-2-2-22-22-222-2-22-122-2-2-1-1112-1-2-211-1-1-11111-122-2-2-1-111-1-1-1-11111000000000000000000000000000033−3−333−3−3
χ192222-2-2-2-2222-2-2-22-22-222-2-22-122-2-2-1-1112-1-2-211-1-1-11111-122-2-2-1-111-1-1-1-111110000000000000000000000000000−3−333−3−333
χ202222-2-2-2-2222-2-2-22-22-222-2-2-12-1-11122-2-2-1211-2-2-1-1-11111-1-1-11122-2-2-1-1-1-111110000000000000000000033−3−333−3−300000000
χ212222-2-2-2-2222-2-2-22-22-222-2-2-12-1-11122-2-2-1211-2-2-1-1-11111-1-1-11122-2-2-1-1-1-1111100000000000000000000−3−333−3−33300000000
χ222222-2-2-2-2222-2-2-22-2-22-2-2222222-2-222-2-222-2-2-2-2222-2-2-2-22-2-222-2-222-2-2-2-22222000000000000000000000000000000000000
χ232222-2-2-2-2222-2-2-22-2-22-2-2222-122-2-2-1-1112-1-2-211-1-1-11111-1-2-22211-1-11111-1-1-1-1000000000000000000000000000033−3−3−3−333
χ242222-2-2-2-2222-2-2-22-2-22-2-2222-122-2-2-1-1112-1-2-211-1-1-11111-1-2-22211-1-11111-1-1-1-10000000000000000000000000000−3−33333−3−3
χ252222-2-2-2-2222-2-2-22-2-22-2-222-12-1-11122-2-2-1211-2-2-1-1-11111-111-1-1-2-2221111-1-1-1-10000000000000000000033−3−3−3−33300000000
χ262222-2-2-2-2222-2-2-22-2-22-2-222-12-1-11122-2-2-1211-2-2-1-1-11111-111-1-1-2-2221111-1-1-1-100000000000000000000−3−33333−3−300000000
χ2722-2-22-22-222-222-2-2-2000000222-22-22-2-2-2-2-22-22222-222-2-2-200000000000000002i−2i0000000000000000002i−2i2i−2i000000000000
χ2822-2-22-22-222-222-2-2-2000000222-22-22-2-2-2-2-22-22222-222-2-2-20000000000000000−2i2i000000000000000000−2i2i−2i2i000000000000
χ2922-2-22-22-222-222-2-2-2000000-12-11-112-2-2-21-2-1122-1-11-1-11113−33−3000033−3−333−3−32i−2i000000000000000000−ii−ii−i3i3−i3i300000000
χ3022-2-22-22-222-222-2-2-2000000-12-11-112-2-2-21-2-1122-1-11-1-11113−33−3000033−3−333−3−3−2i2i000000000000000000i−ii−ii3−i3i3−i300000000
χ3122-2-22-22-222-222-2-2-2000000-12-11-112-2-2-21-2-1122-1-11-1-1111−33−330000−3−333−3−3332i−2i000000000000000000−ii−iii3−i3i3−i300000000
χ3222-2-22-22-222-222-2-2-2000000-12-11-112-2-2-21-2-1122-1-11-1-1111−33−330000−3−333−3−333−2i2i000000000000000000i−ii−i−i3i3−i3i300000000
χ3322-2-2-22-2222-2-2-22-22000000222-2-222-222-2-2-22-2-222-2-2-222-2000000000000000000002i−2i0000000000000000002i−2i−2i2i00000000
χ3422-2-2-22-2222-2-2-22-22000000222-2-222-222-2-2-22-2-222-2-2-222-200000000000000000000−2i2i000000000000000000−2i2i2i−2i00000000
χ3522-2-2-22-2222-2-2-22-22000000-12-111-12-2221-21-1-2-2-1-1111-1-113−3−33000033−3−3−3−33300002i−2i00000000000000i3−i3−i3i3−iii−i00000000
χ3622-2-2-22-2222-2-2-22-22000000-12-111-12-2221-21-1-2-2-1-1111-1-113−3−33000033−3−3−3−3330000−2i2i00000000000000−i3i3i3−i3i−i−ii00000000
χ3722-2-2-22-2222-2-2-22-22000000-12-111-12-2221-21-1-2-2-1-1111-1-11−333−30000−3−33333−3−300002i−2i00000000000000−i3i3i3−i3−iii−i00000000
χ3822-2-2-22-2222-2-2-22-22000000-12-111-12-2221-21-1-2-2-1-1111-1-11−333−30000−3−33333−3−30000−2i2i00000000000000i3−i3−i3i3i−i−ii00000000
χ392-22-22-2-222-222-2-2-2200000022-2222-222-2-2-2-2-22-22-222-22-2-200000000000000000000002i−2i0000000000000000000000002i−2i2i−2i
χ402-22-22-2-222-222-2-2-2200000022-2222-222-2-2-2-2-22-22-222-22-2-20000000000000000000000−2i2i000000000000000000000000−2i2i−2i2i
χ412-22-22-2-222-222-2-2-220000002-1-22221-1-11-21-2-2-11-11-1-11-11100003−33−33−33−33−33−30000002i−2i00000000000000000000−i3i3−i3i3−ii−ii
χ422-22-22-2-222-222-2-2-220000002-1-22221-1-11-21-2-2-11-11-1-11-11100003−33−33−33−33−33−3000000−2i2i00000000000000000000i3−i3i3−i3i−ii−i
χ432-22-22-2-222-222-2-2-220000002-1-22221-1-11-21-2-2-11-11-1-11-1110000−33−33−33−33−33−330000002i−2i00000000000000000000i3−i3i3−i3−ii−ii
χ442-22-22-2-222-222-2-2-220000002-1-22221-1-11-21-2-2-11-11-1-11-1110000−33−33−33−33−33−33000000−2i2i00000000000000000000−i3i3−i3i3i−ii−i
χ452-22-2-222-22-22-222-2-200000022-22-2-2-22-22-2-222-222-22-22-22-20000000000000000002i−2i0000000000000000000000002i−2i−2i2i0000
χ462-22-2-222-22-22-222-2-200000022-22-2-2-22-22-2-222-222-22-22-22-2000000000000000000−2i2i000000000000000000000000−2i2i2i−2i0000
χ472-22-2-222-22-22-222-2-20000002-1-22-2-21-11-1-21221-1-11-11-11-1100003−3−333−33−3−33−33002i−2i000000000000000000000000−iii−ii3−i3−i3i3
χ482-22-2-222-22-22-222-2-20000002-1-22-2-21-11-1-21221-1-11-11-11-1100003−3−333−33−3−33−3300−2i2i000000000000000000000000i−i−ii−i3i3i3−i3
χ492-22-2-222-22-22-222-2-20000002-1-22-2-21-11-1-21221-1-11-11-11-110000−333−3−33−333−33−3002i−2i000000000000000000000000−iii−i−i3i3i3−i3
χ502-22-2-222-22-22-222-2-20000002-1-22-2-21-11-1-21221-1-11-11-11-110000−333−3−33−333−33−300−2i2i000000000000000000000000i−i−iii3−i3−i3i3
χ512-2-2222-2-22-2-22-222-200000022-2-22-2-2-2-2222-222-22-2-22-2-222000000000000000000000000002i−2i00002i2i−2i−2i0000000000000000
χ522-2-2222-2-22-2-22-222-200000022-2-22-2-2-2-2222-222-22-2-22-2-22200000000000000000000000000−2i2i0000−2i−2i2i2i0000000000000000
χ532-2-22-2-2222-2-2-22-22200000022-2-2-22-2-22-2222-2-222-2-2-222-220000000000000000000000002-20022-2-200000000000000000000
χ542-2-22-2-2222-2-2-22-22200000022-2-2-22-2-22-2222-2-222-2-2-222-22000000000000000000000000-2200-2-22200000000000000000000
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
χ574444-4-4-4-4444-4-4-44-44-444-4-4-2-2-2-222-2-222-2-22222111-1-1-1-11-2-222-2-2221111-1-1-1-1000000000000000000000000000000000000
χ584444-4-4-4-4444-4-4-44-4-44-4-444-2-2-2-222-2-222-2-22222111-1-1-1-1122-2-222-2-2-1-1-1-11111000000000000000000000000000000000000
χ5944-4-44-44-444-444-4-4-40000004-24-44-4-2222-424-4-2-2-2-22-2-22220000000000000000000000000000000000000000000000000000
χ6044-4-44-44-444-444-4-4-4000000-2-2-22-22-222222-22-2-211-111-1-1-123−2323−230000−3−333−3−333000000000000000000000000000000000000
χ6144-4-44-44-444-444-4-4-4000000-2-2-22-22-222222-22-2-211-111-1-1-1−2323−2323000033−3−333−3−3000000000000000000000000000000000000
χ6244-4-4-44-4444-4-4-44-440000004-24-4-44-22-2-2-42-4422-2-2222-2-220000000000000000000000000000000000000000000000000000
χ6344-4-4-44-4444-4-4-44-44000000-2-2-222-2-22-2-2222-22211-1-1-111-123−23−23230000−3−33333−3−3000000000000000000000000000000000000
χ6444-4-4-44-4444-4-4-44-44000000-2-2-222-2-22-2-2222-22211-1-1-111-1−232323−23000033−3−3−3−333000000000000000000000000000000000000
χ654-44-44-4-444-444-4-4-44000000-242-2-2-2-444-42-4224-4-22-2-22-2220000000000000000000000000000000000000000000000000000
χ664-44-44-4-444-444-4-4-44000000-2-22-2-2-22-2-222222-221-111-11-1-1000023−2323−23−33−33−33−33000000000000000000000000000000000000
χ674-44-44-4-444-444-4-4-44000000-2-22-2-2-22-2-222222-221-111-11-1-10000−2323−23233−33−33−33−3000000000000000000000000000000000000
χ684-44-4-444-44-44-444-4-4000000-242-222-44-442-4-2-2-44-22-22-22-220000000000000000000000000000000000000000000000000000
χ694-44-4-444-44-44-444-4-4000000-2-22-2222-22-222-2-22-21-11-11-11-1000023−23−2323−33−333−33−3000000000000000000000000000000000000
χ704-44-4-444-44-44-444-4-4000000-2-22-2222-22-222-2-22-21-11-11-11-10000−232323−233−33−3−33−33000000000000000000000000000000000000
χ714-4-4444-4-44-4-44-444-40000004-2-4-44-4222-24-2-44-22-222-222-2-20000000000000000000000000000000000000000000000000000
χ724-4-4444-4-44-4-44-444-4000000-2422-22-4-4-44-242-24-4-222-222-2-20000000000000000000000000000000000000000000000000000
χ734-4-4444-4-44-4-44-444-4000000-2-222-22222-2-2-22-2-221-1-11-1-111000000003-3-333-3-33000000000000000000000000000000000000
χ744-4-4444-4-44-4-44-444-4000000-2-222-22222-2-2-22-2-221-1-11-1-11100000000-333-3-333-3000000000000000000000000000000000000
χ754-4-44-4-4444-4-4-44-4440000004-2-4-4-4422-224-24-42-2-2222-2-22-20000000000000000000000000000000000000000000000000000
χ764-4-44-4-4444-4-4-44-444000000-24222-2-4-44-4-24-22-44-2222-2-22-20000000000000000000000000000000000000000000000000000
χ774-4-44-4-4444-4-4-44-444000000-2-2222-222-22-2-2-222-21-1-1-111-11000000003-3-33-333-3000000000000000000000000000000000000
χ784-4-44-4-4444-4-4-44-444000000-2-2222-222-22-2-2-222-21-1-1-111-1100000000-333-33-3-33000000000000000000000000000000000000
χ7966666666-3-3-3-3-3-3-3-366-3-3-3-30000000000000000000000000000000000000000000000002222-1-1-1-1-1-1-1-10000000000000000
χ8066666666-3-3-3-3-3-3-3-366-3-3-3-3000000000000000000000000000000000000000000000000-2-2-2-2111111110000000000000000
χ8166666666-3-3-3-3-3-3-3-3-6-6333300000000000000000000000000000000000000000000000022-2-2-1-1-1-111110000000000000000
χ8266666666-3-3-3-3-3-3-3-3-6-63333000000000000000000000000000000000000000000000000-2-2221111-1-1-1-10000000000000000
χ836666-6-6-6-6-3-3-3333-336-6-3-33300000000000000000000000000000000000000000000000000003−33−33−33−30000000000000000
χ846666-6-6-6-6-3-3-3333-336-6-3-3330000000000000000000000000000000000000000000000000000−33−33−33−330000000000000000
χ856666-6-6-6-6-3-3-3333-33-6633-3-300000000000000000000000000000000000000000000000000003−33−3−33−330000000000000000
χ866666-6-6-6-6-3-3-3333-33-6633-3-30000000000000000000000000000000000000000000000000000−33−333−33−30000000000000000
χ876-6-6666-6-6-333-33-3-3300−3i33i3−3i33i3000000000000000000000000000000000000000000000000002i−2i3−3−33−i−iii0000000000000000
χ886-6-6666-6-6-333-33-3-3300−3i33i3−3i33i300000000000000000000000000000000000000000000000000−2i2i−333−3ii−i−i0000000000000000
χ896-6-6666-6-6-333-33-3-33003i3−3i33i3−3i3000000000000000000000000000000000000000000000000002i−2i−333−3−i−iii0000000000000000
χ906-6-6666-6-6-333-33-3-33003i3−3i33i3−3i300000000000000000000000000000000000000000000000000−2i2i3−3−33ii−i−i0000000000000000
χ916-6-66-6-666-3333-33-3-300−3i33i33i3−3i30000000000000000000000000000000000000000000000002-200-1-111−i3i3i3−i30000000000000000
χ926-6-66-6-666-3333-33-3-300−3i33i33i3−3i3000000000000000000000000000000000000000000000000-220011-1-1i3−i3−i3i30000000000000000
χ936-6-66-6-666-3333-33-3-3003i3−3i3−3i33i30000000000000000000000000000000000000000000000002-200-1-111i3−i3−i3i30000000000000000
χ946-6-66-6-666-3333-33-3-3003i3−3i3−3i33i3000000000000000000000000000000000000000000000000-220011-1-1−i3i3i3−i30000000000000000
χ951212-12-1212-1212-12-6-66-6-66660000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ961212-12-12-1212-1212-6-6666-66-60000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9712-1212-1212-12-1212-66-6-6666-60000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9812-1212-12-121212-12-66-66-6-6660000000000000000000000000000000000000000000000000000000000000000000000000000000000

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