Finite Group Databasebeta

← Group #11796695

Character table — Group #11796695

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222224444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order122222444433666666666612121212661212121212128888224444446666121212121212121212121212881616161616161616
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
χ51111-1-11-1-11111-1-1-1-111111-1-1-1-1-1-111-1-111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ61111-1-11-1-11111-1-1-1-111111-1-1-1-1-1-111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ71111-1-11-1-11111-1-1-1-111111-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ81111-1-11-1-11111-1-1-1-111111-1-1-1-1-1-111-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ91-11-11-1-11-1111-111-1-1-1-111-111-1-11-11-11-11-111-1-11-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i1-1ii−i−iii−i−i
χ101-11-11-1-11-1111-111-1-1-1-111-111-1-11-11-11-11-111-1-11-11-1−ii−ii11-1-111-1-1−i−iii−i−iii1-1−i−iii−i−iii
χ111-11-11-1-11-1111-111-1-1-1-111-111-1-11-11-11-11-111-1-1-11-11i−ii−i-1-111-1-111ii−i−iii−i−i1-1−i−iii−i−iii
χ121-11-11-1-11-1111-111-1-1-1-111-111-1-11-11-11-11-111-1-1-11-11−ii−ii-1-111-1-111−i−iii−i−iii1-1ii−i−iii−i−i
χ131-11-1-11-1-11111-1-1-111-1-111-1-1-111-111-1-111-111-1-11-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii-11ii−i−i−i−iii
χ141-11-1-11-1-11111-1-1-111-1-111-1-1-111-111-1-111-111-1-11-1-11−iii−i11-1-1-1-111−i−iiiii−i−i-11−i−iiiii−i−i
χ151-11-1-11-1-11111-1-1-111-1-111-1-1-111-111-1-111-111-1-1-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii-11−i−iiiii−i−i
χ161-11-1-11-1-11111-1-1-111-1-111-1-1-111-111-1-111-111-1-1-111-1−iii−i-1-11111-1-1−i−iiiii−i−i-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
χ202222-2-22-2-22222-2-2-2-222222-2-2-2-2-2-222-2-222-2-2-2-20000000000000000000000002200000000
χ212222-2-2-222-2222-2-2-2-2222222222-2-2-2-222-2-20000000000000000000000000000002−22−2−22−22
χ222222-2-2-222-2222-2-2-2-2222222222-2-2-2-222-2-2000000000000000000000000000000−22−222−22−2
χ232-22-22-22-22-222-222-2-2-2-222-2-2-2222-2-22-22-22000000000000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ242-22-22-22-22-222-222-2-2-2-222-2-2-2222-2-22-22-22000000000000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ252-22-22-2-22-2222-222-2-2-2-222-222-2-22-22-22-22-2-2-222000000000000000000000000-2200000000
χ262-22-2-2222-2-222-2-2-222-2-222-222-2-2-22-222-2-22000000000000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ272-22-2-2222-2-222-2-2-222-2-222-222-2-2-22-222-2-22000000000000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ282-22-2-22-2-22222-2-2-222-2-222-2-2-222-222-2-222-2-2-2220000000000000000000000002-200000000
χ2944444444441-211111-2-21-21-2-2-2-2-2-21111-2-200000000222200000000-1-1-1-1-1-1-1-10000000000
χ3044444444441-211111-2-21-21-2-2-2-2-2-21111-2-200000000-2-2-2-200000000111111110000000000
χ314444444444-21-2-2-2-2-211-21-2111111-2-2-2-211000022220000-1-1-1-1-1-1-1-1000000000000000000
χ324444444444-21-2-2-2-2-211-21-2111111-2-2-2-2110000-2-2-2-2000011111111000000000000000000
χ33444444-4-4-4-41-211111-2-21-212222-2-2-1-1-1-12200000000000000000000−i3i3−i3i3−i3i3−i3i30000000000
χ34444444-4-4-4-41-211111-2-21-212222-2-2-1-1-1-12200000000000000000000i3−i3i3−i3i3−i3i3−i30000000000
χ35444444-4-4-4-4-21-2-2-2-2-211-21-2-1-1-1-1112222-1-1000000000000−i3i3−i3i3−i3i3−i3i3000000000000000000
χ36444444-4-4-4-4-21-2-2-2-2-211-21-2-1-1-1-1112222-1-1000000000000i3−i3i3−i3i3−i3i3−i3000000000000000000
χ374444-4-44-4-441-21-1-1-1-1-2-21-2122222211-1-1-2-20000000022-2-200000000-1-1-1-111110000000000
χ384444-4-44-4-441-21-1-1-1-1-2-21-2122222211-1-1-2-200000000-2-222000000001111-1-1-1-10000000000
χ394444-4-44-4-44-21-2222211-21-2-1-1-1-1-1-1-2-22211000022-2-20000-1-1-1-11111000000000000000000
χ404444-4-44-4-44-21-2222211-21-2-1-1-1-1-1-1-2-222110000-2-22200001111-1-1-1-1000000000000000000
χ414444-4-4-444-41-21-1-1-1-1-2-21-21-2-2-2-222-1-1112200000000000000000000−i3i3−i3i3i3−i3i3−i30000000000
χ424444-4-4-444-41-21-1-1-1-1-2-21-21-2-2-2-222-1-1112200000000000000000000i3−i3i3−i3−i3i3−i3i30000000000
χ434444-4-4-444-4-21-2222211-21-21111-1-122-2-2-1-1000000000000−i3i3−i3i3i3−i3i3−i3000000000000000000
χ444444-4-4-444-4-21-2222211-21-21111-1-122-2-2-1-1000000000000i3−i3i3−i3−i3i3−i3i3000000000000000000
χ4544-4-400000044400004-4-4-4-400000000000022−2222−220000000000000000000000000000000000
χ4644-4-400000044400004-4-4-4-4000000000000−2222−22220000000000000000000000000000000000
χ474-44-44-44-44-41-2-111-1-1221-2-122-2-2-22-11-112-2000000000000000000003−3−333−3−330000000000
χ484-44-44-44-44-41-2-111-1-1221-2-122-2-2-22-11-112-200000000000000000000−333−3−333−30000000000
χ494-44-44-44-44-4-212-2-222-1-1-212-1-1111-12-22-2-11000000000000−i3i3i3−i3−i3i3i3−i3000000000000000000
χ504-44-44-44-44-4-212-2-222-1-1-212-1-1111-12-22-2-11000000000000i3−i3−i3i3i3−i3−i3i3000000000000000000
χ514-44-44-4-44-441-2-111-1-1221-2-1-2-222-221-11-1-22000000002i−2i2i−2i00000000−i−iii−i−iii0000000000
χ524-44-44-4-44-441-2-111-1-1221-2-1-2-222-221-11-1-2200000000−2i2i−2i2i00000000ii−i−iii−i−i0000000000
χ534-44-44-4-44-44-212-2-222-1-1-21211-1-11-1-22-221-100002-22-20000-1-111-1-111000000000000000000
χ544-44-44-4-44-44-212-2-222-1-1-21211-1-11-1-22-221-10000-22-22000011-1-111-1-1000000000000000000
χ554-44-4-4444-4-41-2-1-1-111221-2-1-2-2222-2-111-12-2000000000000000000003−3−33−333−30000000000
χ564-44-4-4444-4-41-2-1-1-111221-2-1-2-2222-2-111-12-200000000000000000000−333−33−3−330000000000
χ574-44-4-4444-4-4-21222-2-2-1-1-21211-1-1-112-2-22-11000000000000−i3i3i3−i3i3−i3−i3i3000000000000000000
χ584-44-4-4444-4-4-21222-2-2-1-1-21211-1-1-112-2-22-11000000000000i3−i3−i3i3−i3i3i3−i3000000000000000000
χ594-44-4-44-4-4441-2-1-1-111221-2-122-2-22-21-1-11-22000000002i−2i−2i2i00000000−i−iiiii−i−i0000000000
χ604-44-4-44-4-4441-2-1-1-111221-2-122-2-22-21-1-11-2200000000−2i2i2i−2i00000000ii−i−i−i−iii0000000000
χ614-44-4-44-4-444-21222-2-2-1-1-212-1-111-11-222-21-100002-2-220000-1-11111-1-1000000000000000000
χ624-44-4-44-4-444-21222-2-2-1-1-212-1-111-11-222-21-10000-222-2000011-1-1-1-111000000000000000000
χ634-4-4400000044-40000-44-4-4400000000000022−22−22220000000000000000000000000000000000
χ644-4-4400000044-40000-44-4-44000000000000−222222−220000000000000000000000000000000000
χ6588-8-80000002-426-66-6-44-24-200000000000000000000000000000000000000000000000000
χ6688-8-80000002-42-66-66-44-24-200000000000000000000000000000000000000000000000000
χ6788-8-8000000-42-400002-24-246i−6i6i−6i0000000000000000000000000000000000000000000000
χ6888-8-8000000-42-400002-24-24−6i6i−6i6i0000000000000000000000000000000000000000000000
χ698-8-880000002-4-26-6-664-4-24200000000000000000000000000000000000000000000000000
χ708-8-880000002-4-2-666-64-4-24200000000000000000000000000000000000000000000000000
χ718-8-88000000-4240000-224-2-46i−6i−6i6i0000000000000000000000000000000000000000000000
χ728-8-88000000-4240000-224-2-4−6i6i6i−6i0000000000000000000000000000000000000000000000

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