Finite Group Databasebeta

← Group #13181134

Character table — Group #13181134

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222244444444444444888888888888888888181818181818181836363636363636363636363636363636363636363636363636363636363672727272
order12442346121233666661212121212121233666666612121212121212121222446612122222444466666888812121212122424242424242424661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-111111111-1-1-1-1
χ51111-11-111111-1-1-111-11111-1-111-1-1-1-1-111-11111-1-1-1-11-1-1111111-11-11-11-1-111-1-111-1-1-111-1-11111-1-1-1-11-11-1
χ61111-11-111111-1-1-111-11111-1-111-1-1-1-1-111-11111-1-1-1-11-1-1111111-1-111-1-11-111-1-1-1-111-111-1-1-1-1-1-11111-11-11
χ71111-11-111111-1-1-111-11111-1-111-1-1-1-1-111-11111-1-1-1-11-1-111111-111-1-111-1-1-1-111-1-111-1-1-111-1-1-1-111111-11-1
χ81111-11-111111-1-1-111-11111-1-111-1-1-1-1-111-11111-1-1-1-11-1-111111-11-11-11-11-1-1-11111-1-1-1-1-1111111-1-1-1-1-11-11
χ911-1-111-11-1-11111111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-11-111111-11-11-1-1-1-111-1-111-1-11-1-11
χ1011-1-111-11-1-11111111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-11-1-11111-11-111-1-1-1-1-1-111-1-111-111-1
χ1111-1-111-11-1-11111111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-111-11-1-1-1-1-1-11-1111111-1-111-1-1111-1-11
χ1211-1-111-11-1-11111111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-1-1-11-11-11111111-1-111-1-1-111-1
χ1311-1-1-1111-1-111-1-1-1111-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-11-11-1-1111-111-11-1-1111-1-11-1-11-1-1-11111-1-1-1-11111-1-1
χ1411-1-1-1111-1-111-1-1-1111-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-11-11-1-1111-1-1-1-1111111-1-1-111-1-1-1-111-1-11111-1-1-1-111
χ1511-1-1-1111-1-111-1-1-1111-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-11-11-1-111-11111-1-1-11-1-111-111-1-111-1-1-1-11111-1-111-1-1
χ1611-1-1-1111-1-111-1-1-1111-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-11-11-1-111-11-1-11-1111-1-1111-1-11-111-1-111-1-1-1-111-1-111
χ17222222222222222222222222222222222222222222-2-2-2-2-2-2-2-200000000-200000000-20000000000000000
χ1822222-12-1-1-122-12222-1222222-1-12-1-1-1-1-1-12-1-1-1-1-1-1-1-12222-1-1-1-100000000-100002222-10000-1-1-1-1-1-1-1-10000
χ1922222-12-1-1-122-12222-1222222-1-12-1-1-1-1-1-12-1-1-1-1-1-1-1-12222-1-1-1-100000000-10000-2-2-2-2-10000111111110000
χ2022222-12-1-1-122-12222-1222222-1-12-1-1-1-1-1-12-1-1-1-1-1-1-1-1-2-2-2-2111100000000100000000100003−33−33−33−30000
χ2122222-12-1-1-122-12222-1222222-1-12-1-1-1-1-1-12-1-1-1-1-1-1-1-1-2-2-2-211110000000010000000010000−33−33−33−330000
χ222222-22-222222-2-2-222-22222-2-222-2-2-2-2-222-22222-2-2-2-2-222-2-2-2-2-20000000020000000020000000000000000
χ232222-2-1-2-1-1-1221-2-22212222-2-2-1-1-21111-1-1-2-1-1-1-111112-2-22-1-1-1-1000000001000022-2-210000-1-1-1-111110000
χ242222-2-1-2-1-1-1221-2-22212222-2-2-1-1-21111-1-1-2-1-1-1-111112-2-22-1-1-1-10000000010000-2-222100001111-1-1-1-10000
χ252222-2-1-2-1-1-1221-2-22212222-2-2-1-1-21111-1-1-2-1-1-1-11111-222-2111100000000-100000000-100003−33−3−33−330000
χ262222-2-1-2-1-1-1221-2-22212222-2-2-1-1-21111-1-1-2-1-1-1-11111-222-2111100000000-100000000-10000−33−333−33−30000
χ2722-2-222-22-2-22222222-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-222-2-222-2-200000000200000000-20000000000000000
χ2822-2-22-1-2-11122-122221-2-2-2-2-2-2-1-12-1-1-1-1-1-1-21111111122-2-2-1-11100000000-100000000100003−3−333−3−330000
χ2922-2-22-1-2-11122-122221-2-2-2-2-2-2-1-12-1-1-1-1-1-1-21111111122-2-2-1-11100000000-10000000010000−333−3−333−30000
χ3022-2-22-1-2-11122-122221-2-2-2-2-2-2-1-12-1-1-1-1-1-1-211111111-2-22211-1-100000000100002-22-2-10000-1-111-1-1110000
χ3122-2-22-1-2-11122-122221-2-2-2-2-2-2-1-12-1-1-1-1-1-1-211111111-2-22211-1-10000000010000-22-22-1000011-1-111-1-10000
χ3222-2-2-2222-2-222-2-2-2222-2-2-2-22222-2-2-2-2-2222-2-2-2-222222-22-222-2-200000000-20000000020000000000000000
χ3322-2-2-2-12-111221-2-222-1-2-2-2-222-1-1-21111-1-121111-1-1-1-12-22-2-1-11100000000100000000-100003−3−33−333−30000
χ3422-2-2-2-12-111221-2-222-1-2-2-2-222-1-1-21111-1-121111-1-1-1-12-22-2-1-11100000000100000000-10000−333−33−3−330000
χ3522-2-2-2-12-111221-2-222-1-2-2-2-222-1-1-21111-1-121111-1-1-1-1-22-2211-1-100000000-100002-2-2210000-1-11111-1-10000
χ3622-2-2-2-12-111221-2-222-1-2-2-2-222-1-1-21111-1-121111-1-1-1-1-22-2211-1-100000000-10000-222-21000011-1-1-1-1110000
χ3744444444441-24111-2411-2-2111-2-211-2-21-2-211-2-211-2-200000000220022000-1-1-1-100000-1-1-1-1000000000000
χ3844444444441-24111-2411-2-2111-2-211-2-21-2-211-2-211-2-200000000-2-200-2-20001111000001111000000000000
χ394444444444-214-2-2-214-2-211-2-2-211-2-211-211-2-211-2-21100000000002200220000000000000000000000-1-1-1-1
χ404444444444-214-2-2-214-2-211-2-2-211-2-211-211-2-211-2-2110000000000-2-200-2-200000000000000000000001111
χ414444-44-44441-2-4-1-11-2-411-2-2-1-11-22-1-1221-2211-2-2-1-122000000002-2002-2000-1-11100000-1-111000000000000
χ424444-44-44441-2-4-1-11-2-411-2-2-1-11-22-1-1221-2211-2-2-1-12200000000-2200-2200011-1-10000011-1-1000000000000
χ434444-44-4444-21-422-21-4-2-21122-21-122-1-1-21-1-2-21122-1-100000000002-2002-20000000000000000000000-11-11
χ444444-44-4444-21-422-21-4-2-21122-21-122-1-1-21-1-2-21122-1-10000000000-2200-2200000000000000000000001-11-1
χ4544-4-444-44-4-41-24111-2-4-1-122-1-11-2-211-2-21-22-1-122-1-122000000002200-2-2000-1-1-1-1000001111000000000000
χ4644-4-444-44-4-41-24111-2-4-1-122-1-11-2-211-2-21-22-1-122-1-12200000000-2-20022000111100000-1-1-1-1000000000000
χ4744-4-444-44-4-4-214-2-2-21-422-1-122-211-2-211-21-122-1-122-1-100000000002-200-220000000000000000000000-111-1
χ4844-4-444-44-4-4-214-2-2-21-422-1-122-211-2-211-21-122-1-122-1-10000000000-22002-200000000000000000000001-1-11
χ4944-4-4-4444-4-41-2-4-1-11-24-1-122111-22-1-1221-2-2-1-12211-2-2000000002-200-22000-1-1110000011-1-1000000000000
χ5044-4-4-4444-4-41-2-4-1-11-24-1-122111-22-1-1221-2-2-1-12211-2-200000000-22002-200011-1-100000-1-111000000000000
χ5144-4-4-4444-4-4-21-422-21422-1-1-2-2-21-122-1-1-21122-1-1-2-21100000000002200-2-20000000000000000000000-1-111
χ5244-4-4-4444-4-4-21-422-21422-1-1-2-2-21-122-1-1-21122-1-1-2-2110000000000-2-20022000000000000000000000011-1-1
χ534-44i−4i040-44i−4i1-203-3-120i−i2i−2i3i−3i1-203-300-120i−i2i−2i3i−3i0000000000000000000−i3i3−i3i3000003−33−3000000000000
χ544-44i−4i040-44i−4i1-203-3-120i−i2i−2i3i−3i1-203-300-120i−i2i−2i3i−3i0000000000000000000i3−i3i3−i300000−33−33000000000000
χ554-44i−4i040-44i−4i1-20-33-120i−i2i−2i−3i3i1-20-3300-120i−i2i−2i−3i3i0000000000000000000−i3i3i3−i3000003−3−33000000000000
χ564-44i−4i040-44i−4i1-20-33-120i−i2i−2i−3i3i1-20-3300-120i−i2i−2i−3i3i0000000000000000000i3−i3−i3i300000−333−3000000000000
χ574-44i−4i040-44i−4i44000-4-404i−4i−4i4i004400000-4-404i−4i−4i4i0000000000000000000000000000000000000000000000
χ584-44i−4i0-202−2i2i44000-4-404i−4i−4i4i00-2-200000220−2i2i2i−2i00000000−2i32i323−230000000000000000000000000000000000
χ594-44i−4i0-202−2i2i44000-4-404i−4i−4i4i00-2-200000220−2i2i2i−2i000000002i3−2i3−23230000000000000000000000000000000000
χ604-4−4i4i040-4−4i4i1-203-3-120−ii−2i2i−3i3i1-203-300-120−ii−2i2i−3i3i0000000000000000000−i3i3−i3i300000−33−33000000000000
χ614-4−4i4i040-4−4i4i1-203-3-120−ii−2i2i−3i3i1-203-300-120−ii−2i2i−3i3i0000000000000000000i3−i3i3−i3000003−33−3000000000000
χ624-4−4i4i040-4−4i4i1-20-33-120−ii−2i2i3i−3i1-20-3300-120−ii−2i2i3i−3i0000000000000000000−i3i3i3−i300000−333−3000000000000
χ634-4−4i4i040-4−4i4i1-20-33-120−ii−2i2i3i−3i1-20-3300-120−ii−2i2i3i−3i0000000000000000000i3−i3−i3i3000003−3−33000000000000
χ644-4−4i4i040-4−4i4i44000-4-40−4i4i4i−4i004400000-4-40−4i4i4i−4i0000000000000000000000000000000000000000000000
χ654-4−4i4i0-2022i−2i44000-4-40−4i4i4i−4i00-2-2000002202i−2i−2i2i00000000−2i32i3−23230000000000000000000000000000000000
χ664-4−4i4i0-2022i−2i44000-4-40−4i4i4i−4i00-2-2000002202i−2i−2i2i000000002i3−2i323−230000000000000000000000000000000000
χ6788888-48-4-4-42-4-4222-4-422-4-422-12-4-1-122-12-4-1-122-1-122000000000000000000000000000000000000000000
χ6888888-48-4-4-4-42-4-4-4-42-4-4-422-4-42-1222-1-12-1222-1-122-1-1000000000000000000000000000000000000000000
χ698888-8-4-8-4-4-42-44-2-22-4422-4-4-2-2-12411-2-2-124-1-12211-2-2000000000000000000000000000000000000000000
χ708888-8-4-8-4-4-4-42444-424-4-422442-1-2-2-2112-1-222-1-1-2-211000000000000000000000000000000000000000000
χ7188-8-88-4-8-4442-4-4222-44-2-244-2-2-12-4-1-122-12411-2-211-2-2000000000000000000000000000000000000000000
χ7288-8-88-4-8-444-42-4-4-4-42444-2-2442-1222-1-12-1-2-2-211-2-211000000000000000000000000000000000000000000
χ7388-8-8-8-48-4442-44-2-22-4-4-2-24422-12411-2-2-12-411-2-2-1-122000000000000000000000000000000000000000000
χ7488-8-8-8-48-444-42444-42-444-2-2-4-42-1-2-2-2112-12-2-21122-1-1000000000000000000000000000000000000000000
χ758-88i−8i080-88i−8i-420004-20−4i4i−2i2i00-42000004-20−4i4i−2i2i0000000000000000000000000000000000000000000000
χ768-88i−8i0-404−4i4i2-406-6-2402i−2i4i−4i6i−6i-120-33001-20−ii−2i2i−3i3i00000000000000000000000000000000000000000000
χ778-88i−8i0-404−4i4i2-40-66-2402i−2i4i−4i−6i6i-1203-3001-20−ii−2i2i3i−3i00000000000000000000000000000000000000000000
χ788-88i−8i0-404−4i4i-420004-20−4i4i−2i2i002-1000−3i33i3-2102i−2ii−i0033−33000000000000000000000000000000000000000000
χ798-88i−8i0-404−4i4i-420004-20−4i4i−2i2i002-10003i3−3i3-2102i−2ii−i00−3333000000000000000000000000000000000000000000
χ808-8−8i8i080-8−8i8i-420004-204i−4i2i−2i00-42000004-204i−4i2i−2i0000000000000000000000000000000000000000000000
χ818-8−8i8i0-4044i−4i2-406-6-240−2i2i−4i4i−6i6i-120-33001-20i−i2i−2i3i−3i00000000000000000000000000000000000000000000
χ828-8−8i8i0-4044i−4i2-40-66-240−2i2i−4i4i6i−6i-1203-3001-20i−i2i−2i−3i3i00000000000000000000000000000000000000000000
χ838-8−8i8i0-4044i−4i-420004-204i−4i2i−2i002-1000−3i33i3-210−2i2i−ii00−3333000000000000000000000000000000000000000000
χ848-8−8i8i0-4044i−4i-420004-204i−4i2i−2i002-10003i3−3i3-210−2i2i−ii0033−33000000000000000000000000000000000000000000

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