Finite Group Databasebeta

← Group #13181145

Character table — Group #13181145

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222224444444444444488888888888888888899991818181818181818181818181818363636363636363636363636363636363636363636363636363672727272
order12442346121233666661212121212121233666666612121212121212121222442222244444661212224444446666612121212121212121212121212661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-111111-1-1-1-11-1-1-1-111111111-1-1-1-1
χ51111-11-111111-1-1-111-11111-1-111-1-1-1-1-111-11111-1-1-1-11111-111-1-1-111-1-111111-11-111-1-1-111-1-1-111-1-11111-1-1-1-11-11-1
χ61111-11-111111-1-1-111-11111-1-111-1-1-1-1-111-11111-1-1-1-11111-111-1-1-111-1-11111-11-11-1-111-111-1-1-111-1-1-1-1-1-11111-11-11
χ71111-11-111111-1-1-111-11111-1-111-1-1-1-1-111-11111-1-1-1-11111-1-1-111-1-1-11111111-11-1-1-111-1-1-111-1-1-111-1-1-1-111111-11-1
χ81111-11-111111-1-1-111-11111-1-111-1-1-1-1-111-11111-1-1-1-11111-1-1-111-1-1-1111111-11-1111-1-1-1-1-111-1-1-1111111-1-1-1-1-11-11
χ911-1-111-11-1-11111111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-1-111-1-11-1-111-11-111111-1-1-1-1-111-1-111-1-11-1-11
χ1011-1-111-11-1-11111111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-1-111-1-1-111-1-11-1111111-1-1-1-1-1-1-111-1-111-111-1
χ1111-1-111-11-1-11111111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1111111-1-11-1-11-11-111-1-1-1-1-11111-1-111-1-1111-1-11
χ1211-1-111-11-1-11111111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1111111-1-1-111-11-11-11-1-1-1-1-1111111-1-111-1-1-111-1
χ1311-1-1-1111-1-111-1-1-1111-1-1-1-11111-1-1-1-1-1111-1-1-1-1111111-1-1-111-1-11-1-11111-1-111-1-11-1-11-111-1-11-1-11111-1-1-1-11111-1-1
χ1411-1-1-1111-1-111-1-1-1111-1-1-1-11111-1-1-1-1-1111-1-1-1-1111111-1-1-111-1-11-1-11111-1-1-1-111-111-1-111-1-11-1-111-1-11111-1-1-1-111
χ1511-1-1-1111-1-111-1-1-1111-1-1-1-11111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-111111-1-111-1-111-1-1-111-1-1-1-111111-1-1-1-11111-1-111-1-1
χ1611-1-1-1111-1-111-1-1-1111-1-1-1-11111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-111111-1-111-1-1-1-1111-1-11-1-1-111111-1-111-1-1-1-111-1-111
χ17222222222222222222222222222222222222222222-2-2-2-2-20000-20000-2-2-2-200000000-20000-20000000000000000
χ1822222-12-1-1-122-12222-1222222-1-12-1-1-1-1-1-12-1-1-1-1-1-1-1-122222000020000-1-1-1-100002222-10000-10000-1-1-1-1-1-1-1-10000
χ1922222-12-1-1-122-12222-1222222-1-12-1-1-1-1-1-12-1-1-1-1-1-1-1-122222000020000-1-1-1-10000-2-2-2-2-10000-10000111111110000
χ2022222-12-1-1-122-12222-1222222-1-12-1-1-1-1-1-12-1-1-1-1-1-1-1-1-2-2-2-2-20000-2000011110000000010000100003−33−33−33−30000
χ2122222-12-1-1-122-12222-1222222-1-12-1-1-1-1-1-12-1-1-1-1-1-1-1-1-2-2-2-2-20000-200001111000000001000010000−33−33−33−330000
χ222222-22-222222-2-2-222-22222-2-222-2-2-2-2-222-22222-2-2-2-2-2-2-2-22000020000-2-2-2-2000000002000020000000000000000
χ232222-2-1-2-1-1-1221-2-22212222-2-2-1-1-21111-1-1-2-1-1-1-111112222-20000-20000-1-1-1-1000022-2-21000010000-1-1-1-111110000
χ242222-2-1-2-1-1-1221-2-22212222-2-2-1-1-21111-1-1-2-1-1-1-111112222-20000-20000-1-1-1-10000-2-22210000100001111-1-1-1-10000
χ252222-2-1-2-1-1-1221-2-22212222-2-2-1-1-21111-1-1-2-1-1-1-11111-2-2-2-22000020000111100000000-10000-100003−33−3−33−330000
χ262222-2-1-2-1-1-1221-2-22212222-2-2-1-1-21111-1-1-2-1-1-1-11111-2-2-2-22000020000111100000000-10000-10000−33−333−33−30000
χ2722-2-222-22-2-22222222-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-222-2000020000-2-22200000000-2000020000000000000000
χ2822-2-22-1-2-11122-122221-2-2-2-2-2-2-1-12-1-1-1-1-1-1-21111111122-2-220000-20000-1-11100002-22-2-1000010000-1-111-1-1110000
χ2922-2-22-1-2-11122-122221-2-2-2-2-2-2-1-12-1-1-1-1-1-1-21111111122-2-220000-20000-1-1110000-22-22-100001000011-1-111-1-10000
χ3022-2-22-1-2-11122-122221-2-2-2-2-2-2-1-12-1-1-1-1-1-1-211111111-2-222-200002000011-1-10000000010000-100003−3−333−3−330000
χ3122-2-22-1-2-11122-122221-2-2-2-2-2-2-1-12-1-1-1-1-1-1-211111111-2-222-200002000011-1-10000000010000-10000−333−3−333−30000
χ3222-2-2-2222-2-222-2-2-2222-2-2-2-22222-2-2-2-2-2222-2-2-2-22222-2-22220000-20000-2-2220000000020000-20000000000000000
χ3322-2-2-2-12-111221-2-222-1-2-2-2-222-1-1-21111-1-121111-1-1-1-122-2-2-2000020000-1-11100002-2-2210000-10000-1-11111-1-10000
χ3422-2-2-2-12-111221-2-222-1-2-2-2-222-1-1-21111-1-121111-1-1-1-122-2-2-2000020000-1-1110000-222-210000-1000011-1-1-1-1110000
χ3522-2-2-2-12-111221-2-222-1-2-2-2-222-1-1-21111-1-121111-1-1-1-1-2-22220000-2000011-1-100000000-10000100003−3−33−333−30000
χ3622-2-2-2-12-111221-2-222-1-2-2-2-222-1-1-21111-1-121111-1-1-1-1-2-22220000-2000011-1-100000000-1000010000−333−33−3−330000
χ372-22i−2i020-22i−2i22000-2-202i2i−2i−2i002200000-2-202i2i−2i−2i00002-22i−2i0002-20002i−2i2-22i−2i000000000002-20002i−2i000000000000
χ382-22i−2i020-22i−2i22000-2-202i2i−2i−2i002200000-2-202i2i−2i−2i00002-22i−2i000-22000−2i2i2-22i−2i00000000000-22000−2i2i000000000000
χ392-22i−2i020-22i−2i22000-2-202i2i−2i−2i002200000-2-202i2i−2i−2i0000-22−2i2i02-20002i−2i00-22−2i2i0000000002-20002i−2i00000000000000
χ402-22i−2i020-22i−2i22000-2-202i2i−2i−2i002200000-2-202i2i−2i−2i0000-22−2i2i0-22000−2i2i00-22−2i2i000000000-22000−2i2i00000000000000
χ412-2−2i2i020-2−2i2i22000-2-20−2i−2i2i2i002200000-2-20−2i−2i2i2i00002-2−2i2i0002-2000−2i2i2-2−2i2i000000000002-2000−2i2i000000000000
χ422-2−2i2i020-2−2i2i22000-2-20−2i−2i2i2i002200000-2-20−2i−2i2i2i00002-2−2i2i000-220002i−2i2-2−2i2i00000000000-220002i−2i000000000000
χ432-2−2i2i020-2−2i2i22000-2-20−2i−2i2i2i002200000-2-20−2i−2i2i2i0000-222i−2i02-2000−2i2i00-222i−2i0000000002-2000−2i2i00000000000000
χ442-2−2i2i020-2−2i2i22000-2-20−2i−2i2i2i002200000-2-20−2i−2i2i2i0000-222i−2i0-220002i−2i00-222i−2i000000000-220002i−2i00000000000000
χ4544444444441-24111-241-21-2111-2-211-2-21-2-21-21-211-2-2000002222022220000000000000-1-1-1-10-1-1-1-1000000000000
χ4644444444441-24111-241-21-2111-2-211-2-21-2-21-21-211-2-200000-2-2-2-20-2-2-2-20000000000000111101111000000000000
χ474444444444-214-2-2-214-21-21-2-2-211-2-211-211-21-21-2-21100000000000000000022220000000000000000000000-1-1-1-1
χ484444444444-214-2-2-214-21-21-2-2-211-2-211-211-21-21-2-211000000000000000000-2-2-2-200000000000000000000001111
χ494444-44-44441-2-4-1-11-2-41-21-2-1-11-22-1-1221-221-21-2-1-1220000022-2-2022-2-20000000000000-1-1110-1-111000000000000
χ504444-44-44441-2-4-1-11-2-41-21-2-1-11-22-1-1221-221-21-2-1-12200000-2-2220-2-222000000000000011-1-1011-1-1000000000000
χ514444-44-4444-21-422-21-4-21-2122-21-122-1-1-21-1-21-2122-1-10000000000000000002-22-20000000000000000000000-11-11
χ524444-44-4444-21-422-21-4-21-2122-21-122-1-1-21-1-21-2122-1-1000000000000000000-22-2200000000000000000000001-11-1
χ5344-4-444-44-4-41-24111-2-4-12-12-1-11-2-211-2-21-22-12-12-1-1220000022220-2-2-2-20000000000000-1-1-1-101111000000000000
χ5444-4-444-44-4-41-24111-2-4-12-12-1-11-2-211-2-21-22-12-12-1-12200000-2-2-2-202222000000000000011110-1-1-1-1000000000000
χ5544-4-444-44-4-4-214-2-2-21-42-12-122-211-2-211-21-12-12-122-1-10000000000000000002-2-220000000000000000000000-111-1
χ5644-4-444-44-4-4-214-2-2-21-42-12-122-211-2-211-21-12-12-122-1-1000000000000000000-222-200000000000000000000001-1-11
χ5744-4-4-4444-4-41-2-4-1-11-24-12-12111-22-1-1221-2-2-12-1211-2-20000022-2-20-2-2220000000000000-1-111011-1-1000000000000
χ5844-4-4-4444-4-41-2-4-1-11-24-12-12111-22-1-1221-2-2-12-1211-2-200000-2-222022-2-2000000000000011-1-10-1-111000000000000
χ5944-4-4-4444-4-4-21-422-2142-12-1-2-2-21-122-1-1-2112-12-1-2-21100000000000000000022-2-20000000000000000000000-1-111
χ6044-4-4-4444-4-4-21-422-2142-12-1-2-2-21-122-1-1-2112-12-1-2-211000000000000000000-2-222000000000000000000000011-1-1
χ614-44i−4i040-44i−4i1-203-3-120i−2i−i2i3i−3i1-203-300-120i−2i−i2i3i−3i00000002-22-202i−2i2i−2i0000000000000-11-110−ii−ii000000000000
χ624-44i−4i040-44i−4i1-203-3-120i−2i−i2i3i−3i1-203-300-120i−2i−i2i3i−3i0000000-22-220−2i2i−2i2i00000000000001-11-10i−ii−i000000000000
χ634-44i−4i040-44i−4i1-20-33-120i−2i−i2i−3i3i1-20-3300-120i−2i−i2i−3i3i00000002-2-2202i−2i−2i2i0000000000000-111-10−iii−i000000000000
χ644-44i−4i040-44i−4i1-20-33-120i−2i−i2i−3i3i1-20-3300-120i−2i−i2i−3i3i0000000-222-20−2i2i2i−2i00000000000001-1-110i−i−ii000000000000
χ654-44i−4i0-202−2i2i44000-4-404i4i−4i−4i00-2-200000220−2i−2i2i2i00004-44i−4i0000000000-22−2i2i000000000000000000000000000000
χ664-44i−4i0-202−2i2i44000-4-404i4i−4i−4i00-2-200000220−2i−2i2i2i0000-44−4i4i00000000002-22i−2i000000000000000000000000000000
χ674-4−4i4i040-4−4i4i1-203-3-120−i2ii−2i−3i3i1-203-300-120−i2ii−2i−3i3i00000002-22-20−2i2i−2i2i0000000000000-11-110i−ii−i000000000000
χ684-4−4i4i040-4−4i4i1-203-3-120−i2ii−2i−3i3i1-203-300-120−i2ii−2i−3i3i0000000-22-2202i−2i2i−2i00000000000001-11-10−ii−ii000000000000
χ694-4−4i4i040-4−4i4i1-20-33-120−i2ii−2i3i−3i1-20-3300-120−i2ii−2i3i−3i00000002-2-220−2i2i2i−2i0000000000000-111-10i−i−ii000000000000
χ704-4−4i4i040-4−4i4i1-20-33-120−i2ii−2i3i−3i1-20-3300-120−i2ii−2i3i−3i0000000-222-202i−2i−2i2i00000000000001-1-110−iii−i000000000000
χ714-4−4i4i0-2022i−2i44000-4-40−4i−4i4i4i00-2-2000002202i2i−2i−2i00004-4−4i4i0000000000-222i−2i000000000000000000000000000000
χ724-4−4i4i0-2022i−2i44000-4-40−4i−4i4i4i00-2-2000002202i2i−2i−2i0000-444i−4i00000000002-2−2i2i000000000000000000000000000000
χ7388888-48-4-4-42-4-4222-4-42-42-422-12-4-1-122-12-4-12-12-1-122000000000000000000000000000000000000000000000000
χ7488888-48-4-4-4-42-4-4-4-42-4-42-42-4-42-1222-1-12-122-12-122-1-1000000000000000000000000000000000000000000000000
χ758888-8-4-8-4-4-42-44-2-22-442-42-4-2-2-12411-2-2-124-12-1211-2-2000000000000000000000000000000000000000000000000
χ768888-8-4-8-4-4-4-42444-424-42-42442-1-2-2-2112-1-22-12-1-2-211000000000000000000000000000000000000000000000000
χ7788-8-88-4-8-4442-4-4222-44-24-24-2-2-12-4-1-122-1241-21-211-2-2000000000000000000000000000000000000000000000000
χ7888-8-88-4-8-444-42-4-4-4-4244-24-2442-1222-1-12-1-2-21-21-2-211000000000000000000000000000000000000000000000000
χ7988-8-8-8-48-4442-44-2-22-4-4-24-2422-12411-2-2-12-41-21-2-1-122000000000000000000000000000000000000000000000000
χ8088-8-8-8-48-444-42444-42-44-24-2-4-42-1-2-2-2112-12-21-2122-1-1000000000000000000000000000000000000000000000000
χ818-88i−8i080-88i−8i-420004-20−4i2i4i−2i00-42000004-20−4i2i4i−2i0000000000000000000000000000000000000000000000000000
χ828-88i−8i0-404−4i4i2-406-6-2402i−4i−2i4i6i−6i-120-33001-20−i2ii−2i−3i3i00000000000000000000000000000000000000000000000000
χ838-88i−8i0-404−4i4i2-40-66-2402i−4i−2i4i−6i6i-1203-3001-20−i2ii−2i3i−3i00000000000000000000000000000000000000000000000000
χ848-88i−8i0-404−4i4i-420004-20−4i2i4i−2i002-1000−3i33i3-2102i−i−2ii0033−33000000000000000000000000000000000000000000000000
χ858-88i−8i0-404−4i4i-420004-20−4i2i4i−2i002-10003i3−3i3-2102i−i−2ii00−3333000000000000000000000000000000000000000000000000
χ868-8−8i8i080-8−8i8i-420004-204i−2i−4i2i00-42000004-204i−2i−4i2i0000000000000000000000000000000000000000000000000000
χ878-8−8i8i0-4044i−4i2-406-6-240−2i4i2i−4i−6i6i-120-33001-20i−2i−i2i3i−3i00000000000000000000000000000000000000000000000000
χ888-8−8i8i0-4044i−4i2-40-66-240−2i4i2i−4i6i−6i-1203-3001-20i−2i−i2i−3i3i00000000000000000000000000000000000000000000000000
χ898-8−8i8i0-4044i−4i-420004-204i−2i−4i2i002-1000−3i33i3-210−2ii2i−i00−3333000000000000000000000000000000000000000000000000
χ908-8−8i8i0-4044i−4i-420004-204i−2i−4i2i002-10003i3−3i3-210−2ii2i−i0033−33000000000000000000000000000000000000000000000000

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