Finite Group Databasebeta

← Group #11796747

Character table — Group #11796747

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222224444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order1222224444336666666666121212126612121212121288884444444412121212121212121212121212121212881616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ51111-1-11-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ61111-1-11-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ71111-1-11-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ81111-1-11-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ91-1-111-1-11-1111-1-111-1-11-1-1111-1-11-11-11-11-111-1-1i−ii−i1-11-1ii−i−iii−i−i11-1-111-1-11-1ii−i−iii−i−i
χ101-1-111-1-11-1111-1-111-1-11-1-1111-1-11-11-11-11-111-1-1i−ii−i-11-11ii−i−iii−i−i-1-111-1-1111-1−i−iii−i−iii
χ111-1-111-1-11-1111-1-111-1-11-1-1111-1-11-11-11-11-111-1-1−ii−ii1-11-1−i−iii−i−iii11-1-111-1-11-1−i−iii−i−iii
χ121-1-111-1-11-1111-1-111-1-11-1-1111-1-11-11-11-11-111-1-1−ii−ii-11-11−i−iii−i−iii-1-111-1-1111-1ii−i−iii−i−i
χ131-1-11-11-1-11111-1-1-1-1111-1-11-1-111-111-11-1-1111-1-1i−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111-11ii−i−i−i−iii
χ141-1-11-11-1-11111-1-1-1-1111-1-11-1-111-111-11-1-1111-1-1i−i−ii-111-1ii−i−i−i−iii-1-11111-1-1-11−i−iiiii−i−i
χ151-1-11-11-1-11111-1-1-1-1111-1-11-1-111-111-11-1-1111-1-1−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111-11−i−iiiii−i−i
χ161-1-11-11-1-11111-1-1-1-1111-1-11-1-111-111-11-1-1111-1-1−iii−i-111-1−i−iiiii−i−i-1-11111-1-1-11ii−i−i−i−iii
χ172222222222222222222222222222222222-2-2-2-2000000000000000000000000-2-200000000
χ18222222-2-2-2-2222222222222-2-2-2-222-2-2-2-2-2-20000000000000000000000000000002−22−22−22−2
χ19222222-2-2-2-2222222222222-2-2-2-222-2-2-2-2-2-2000000000000000000000000000000−22−22−22−22
χ202222-2-22-2-222222-2-2-2-22222-2-2-2-2-2-22222-2-2-2-2-2-20000000000000000000000002200000000
χ212222-2-2-222-22222-2-2-2-222222222-2-2-2-2-2-2220000000000000000000000000000002−22−2−22−22
χ222222-2-2-222-22222-2-2-2-222222222-2-2-2-2-2-222000000000000000000000000000000−22−222−22−2
χ232-2-222-22-22-222-2-222-2-22-2-22-2-2222-2-22-22-22000000000000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ242-2-222-22-22-222-2-222-2-22-2-22-2-2222-2-22-22-22000000000000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ252-2-222-2-22-2222-2-222-2-22-2-2222-2-22-22-22-22-2-2-222000000000000000000000000-2200000000
χ262-2-22-2222-2-222-2-2-2-2222-2-2222-2-2-22-22-222-2000000000000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ272-2-22-2222-2-222-2-2-2-2222-2-2222-2-2-22-22-222-2000000000000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ282-2-22-22-2-22222-2-2-2-2222-2-22-2-222-222-22-2-22-2-2220000000000000000000000002-200000000
χ2944444444441-2111111-2-2-21-2-2-2-2-2-2-2-2111100000000222200000000-1-1-1-1-1-1-1-10000000000
χ3044444444441-2111111-2-2-21-2-2-2-2-2-2-2-2111100000000-2-2-2-200000000111111110000000000
χ314444444444-21-2-2-2-2-2-2111-211111111-2-2-2-2000022220000-1-1-1-1-1-1-1-1000000000000000000
χ324444444444-21-2-2-2-2-2-2111-211111111-2-2-2-20000-2-2-2-2000011111111000000000000000000
χ33444444-4-4-4-41-2111111-2-2-212222-2-222-1-1-1-100000000000000000000−i3i3−i3i3−i3i3−i3i30000000000
χ34444444-4-4-4-41-2111111-2-2-212222-2-222-1-1-1-100000000000000000000i3−i3i3−i3i3−i3i3−i30000000000
χ35444444-4-4-4-4-21-2-2-2-2-2-2111-2-1-1-1-111-1-12222000000000000−i3i3−i3i3−i3i3−i3i3000000000000000000
χ36444444-4-4-4-4-21-2-2-2-2-2-2111-2-1-1-1-111-1-12222000000000000i3−i3i3−i3i3−i3i3−i3000000000000000000
χ374444-4-44-4-441-211-1-1-1-1-2-2-21222222-2-211-1-10000000022-2-200000000-1-1-1-111110000000000
χ384444-4-44-4-441-211-1-1-1-1-2-2-21222222-2-211-1-100000000-2-222000000001111-1-1-1-10000000000
χ394444-4-44-4-44-21-2-22222111-2-1-1-1-1-1-111-2-222000022-2-20000-1-1-1-11111000000000000000000
χ404444-4-44-4-44-21-2-22222111-2-1-1-1-1-1-111-2-2220000-2-22200001111-1-1-1-1000000000000000000
χ414444-4-4-444-41-211-1-1-1-1-2-2-21-2-2-2-22222-1-11100000000000000000000−i3i3−i3i3i3−i3i3−i30000000000
χ424444-4-4-444-41-211-1-1-1-1-2-2-21-2-2-2-22222-1-11100000000000000000000i3−i3i3−i3−i3i3−i3i30000000000
χ434444-4-4-444-4-21-2-22222111-21111-1-1-1-122-2-2000000000000−i3i3−i3i3i3−i3i3−i3000000000000000000
χ444444-4-4-444-4-21-2-22222111-21111-1-1-1-122-2-2000000000000i3−i3i3−i3−i3i3−i3i3000000000000000000
χ4544-4-4000000444-40000-44-4-400000000000022−2222−220000000000000000000000000000000000
χ4644-4-4000000444-40000-44-4-4000000000000−2222−22220000000000000000000000000000000000
χ474-44-400000044-440000-4-44-400000000000022−22−22220000000000000000000000000000000000
χ484-44-400000044-440000-4-44-4000000000000−222222−220000000000000000000000000000000000
χ494-4-444-44-44-41-2-1-111-1-1-222122-2-2-222-2-11-1100000000000000000000−i3i3i3−i3−i3i3i3−i30000000000
χ504-4-444-44-44-41-2-1-111-1-1-222122-2-2-222-2-11-1100000000000000000000i3−i3−i3i3i3−i3−i3i30000000000
χ514-4-444-44-44-4-2122-2-2221-1-1-2-1-1111-1-112-22-20000000000003−3−333−3−33000000000000000000
χ524-4-444-44-44-4-2122-2-2221-1-1-2-1-1111-1-112-22-2000000000000−333−3−333−3000000000000000000
χ534-4-444-4-44-441-2-1-111-1-1-2221-2-222-22-221-11-1000000002-22-200000000-1-111-1-1110000000000
χ544-4-444-4-44-441-2-1-111-1-1-2221-2-222-22-221-11-100000000-22-220000000011-1-111-1-10000000000
χ554-4-444-4-44-44-2122-2-2221-1-1-211-1-11-11-1-22-2200002i−2i2i−2i0000−i−iii−i−iii000000000000000000
χ564-4-444-4-44-44-2122-2-2221-1-1-211-1-11-11-1-22-220000−2i2i−2i2i0000ii−i−iii−i−i000000000000000000
χ574-4-44-4444-4-41-2-1-1-1-111-2221-2-2222-22-2-111-100000000000000000000−i3i3i3−i3i3−i3−i3i30000000000
χ584-4-44-4444-4-41-2-1-1-1-111-2221-2-2222-22-2-111-100000000000000000000i3−i3−i3i3−i3i3i3−i30000000000
χ594-4-44-4444-4-4-212222-2-21-1-1-211-1-1-11-112-2-220000000000003−3−33−333−3000000000000000000
χ604-4-44-4444-4-4-212222-2-21-1-1-211-1-1-11-112-2-22000000000000−333−33−3−33000000000000000000
χ614-4-44-44-4-4441-2-1-1-1-111-222122-2-22-2-221-1-11000000002-2-2200000000-1-11111-1-10000000000
χ624-4-44-44-4-4441-2-1-1-1-111-222122-2-22-2-221-1-1100000000-222-20000000011-1-1-1-1110000000000
χ634-4-44-44-4-444-212222-2-21-1-1-2-1-111-111-1-222-200002i−2i−2i2i0000−i−iiiii−i−i000000000000000000
χ644-4-44-44-4-444-212222-2-21-1-1-2-1-111-111-1-222-20000−2i2i2i−2i0000ii−i−i−i−iii000000000000000000
χ6588-8-80000002-42-26-66-64-44-200000000000000000000000000000000000000000000000000
χ6688-8-80000002-42-2-66-664-44-200000000000000000000000000000000000000000000000000
χ6788-8-8000000-42-440000-22-246i−6i6i−6i0000000000000000000000000000000000000000000000
χ6888-8-8000000-42-440000-22-24−6i6i−6i6i0000000000000000000000000000000000000000000000
χ698-88-80000002-4-226-6-6644-4-200000000000000000000000000000000000000000000000000
χ708-88-80000002-4-22-666-644-4-200000000000000000000000000000000000000000000000000
χ718-88-8000000-424-40000-2-2246i−6i−6i6i0000000000000000000000000000000000000000000000
χ728-88-8000000-424-40000-2-224−6i6i6i−6i0000000000000000000000000000000000000000000000

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