Finite Group Databasebeta

← Group #11895136

Character table — Group #11895136

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size111122222244444444888888888888121212121212121212121212181818181818242424242424242424242424242424242424363636363636363636
order1222444444336666661212121212121212121212122244666612121212448888222444666666121212121212444888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1111-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ5111111-1-1-1-11111111111-1-1-1-111-1-1-1-11111111111111111111-1-11-1-111-1-1-1-111-1-1-1-11-1-111-1-1-1-1
χ6111111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1111-1-1-1-1111111-1-1-1-11-1-1-1-11111
χ7111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11-1-1-11111-1-1-1-1-1-111111-1-1-1-11111
χ8111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-111-1-11111-1-111111-1-111-1-1-1-1
χ91111-1-111-1-111111111-1-111-1-1-1-111-1-1111111111111111111-11-1-11-1-1-111-1-1-1-111-1-1-11-1-1-111-1-1
χ101111-1-111-1-111111111-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-11-11-11-111-1-111-1-111-1-1-11-111-1-111
χ111111-1-111-1-111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-11-11-11-1-111-1-111-1-111-11-111-1-111
χ121111-1-111-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1111-1-11111-1-111-11-1-1-111-1-1
χ131111-1-1-1-11111111111-1-1-1-111-1-1-1-111111111111111111111-1-11-1-11-1-1-1-111-1-1-1-111-1-11-1-1-1-111
χ141111-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-1-1-111111-1-1-1-1-1-111-1-111111-1-1
χ151111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-111111-1-1
χ161111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-11111-1-11111-1-1-1-11-1-1-1-111
χ17222222222222222222222222222222000000000000-2-20000000000000000000000-2-2-2000000
χ18222222-2-2-2-22222222222-2-2-2-222-2-2-2-2000000000000-2-20000000000000000000000-222000000
χ192222-2-222-2-222222222-2-222-2-2-2-222-2-2000000000000-2-200000000000000000000002-22000000
χ202222-2-2-2-22222222222-2-2-2-222-2-2-2-222000000000000-2-2000000000000000000000022-2000000
χ2122-2-2000000222-22-2-2-20000000000002-22i−2i22-2-22i2i−2i−2i-222i2i−2i−2i000000000000000000000000000
χ2222-2-2000000222-22-2-2-20000000000002-2−2i2i22-2-2−2i−2i2i2i-22−2i−2i2i2i000000000000000000000000000
χ2322-2-2000000222-22-2-2-2000000000000-222i−2i-2-2222i2i−2i−2i-22−2i−2i2i2i000000000000000000000000000
χ2422-2-2000000222-22-2-2-2000000000000-22−2i2i-2-222−2i−2i2i2i-222i2i−2i−2i000000000000000000000000000
χ252-22-22-22-22-222-2-2-2-2222-22-22-22-22-22-2000000000000002−22−20000000000000000000002−22−22−2
χ262-22-22-22-22-222-2-2-2-2222-22-22-22-22-22-200000000000000−22−22000000000000000000000−22−22−22
χ272-22-22-2-22-2222-2-2-2-2222-2-22-222-2-22-22000000000000002−22−20000000000000000000002−2−22−22
χ282-22-22-2-22-2222-2-2-2-2222-2-22-222-2-22-2200000000000000−22−22000000000000000000000−222−22−2
χ292-22-2-222-2-2222-2-2-2-222-222-2-22-222-2-22000000000000002−22−2000000000000000000000−222−2−22
χ302-22-2-222-2-2222-2-2-2-222-222-2-22-222-2-2200000000000000−22−220000000000000000000002−2−222−2
χ312-22-2-22-222-222-2-2-2-222-22-222-2-22-222-2000000000000002−22−2000000000000000000000−22−222−2
χ322-22-2-22-222-222-2-2-2-222-22-222-2-22-222-200000000000000−22−220000000000000000000002−22−2−22
χ3344444444441-211-2-2-21-2-2-2-2-2-21111112200-1-1-1-10000000000000222000000-1-1-1-1-1-1000000000
χ3444444444441-211-2-2-21-2-2-2-2-2-2111111-2-20011110000000000000-2-2-2000000111111000000000
χ354444444444-21-2-2111-2111111-2-2-2-2-2-200220000-1-1-1-1000000222000-1-1-1-1-1-1000000000000000
χ364444444444-21-2-2111-2111111-2-2-2-2-2-200-2-200001111000000-2-2-2000111111000000000000000
χ37444444-4-4-4-41-211-2-2-21-2-2222211-1-1-1-12200-1-1-1-100000000000002-2-2000000-1-11111000000000
χ38444444-4-4-4-41-211-2-2-21-2-2222211-1-1-1-1-2-20011110000000000000-22200000011-1-1-1-1000000000
χ39444444-4-4-4-4-21-2-2111-211-1-1-1-1-2-2222200220000-1-1-1-10000002-2-2000-1-11111000000000000000
χ40444444-4-4-4-4-21-2-2111-211-1-1-1-1-2-2222200-2-200001111000000-22200011-1-1-1-1000000000000000
χ414444-4-444-4-41-211-2-2-2122-2-222-1-111-1-12200-1-1-1-10000000000000-22-200000011-1-111000000000
χ424444-4-444-4-41-211-2-2-2122-2-222-1-111-1-1-2-200111100000000000002-22000000-1-111-1-1000000000
χ434444-4-444-4-4-21-2-2111-2-1-111-1-122-2-22200220000-1-1-1-1000000-22-200011-1-111000000000000000
χ444444-4-444-4-4-21-2-2111-2-1-111-1-122-2-22200-2-2000011110000002-22000-1-111-1-1000000000000000
χ454444-4-4-4-4441-211-2-2-212222-2-2-1-1-1-1112200-1-1-1-10000000000000-2-220000001111-1-1000000000
χ464444-4-4-4-4441-211-2-2-212222-2-2-1-1-1-111-2-2001111000000000000022-2000000-1-1-1-111000000000
χ474444-4-4-4-444-21-2-2111-2-1-1-1-1112222-2-200220000-1-1-1-1000000-2-220001111-1-1000000000000000
χ484444-4-4-4-444-21-2-2111-2-1-1-1-1112222-2-200-2-20000111100000022-2000-1-1-1-111000000000000000
χ4944-4-4000000444-44-4-4-40000000000000000000000004-40000000000000000000000000000000
χ504-44-44-44-44-41-2-1-122-21-22-22-221-11-11-10000−i3i3−i3i30000000000000000000000−i3i3−i3i3−i3i3000000000
χ514-44-44-44-44-41-2-1-122-21-22-22-221-11-11-10000i3−i3i3−i30000000000000000000000i3−i3i3−i3i3−i3000000000
χ524-44-44-44-44-4-2122-1-11-21-11-11-1-22-22-2200000000−i3i3−i3i3000000000000−i3i3−i3i3−i3i3000000000000000
χ534-44-44-44-44-4-2122-1-11-21-11-11-1-22-22-2200000000i3−i3i3−i3000000000000i3−i3i3−i3i3−i3000000000000000
χ544-44-44-4-44-441-2-1-122-21-222-22-21-1-11-110000−i3i3−i3i30000000000000000000000−i3i3i3−i3i3−i3000000000
χ554-44-44-4-44-441-2-1-122-21-222-22-21-1-11-110000i3−i3i3−i30000000000000000000000i3−i3−i3i3−i3i3000000000
χ564-44-44-4-44-44-2122-1-11-21-1-11-11-222-22-200000000−i3i3−i3i3000000000000−i3i3i3−i3i3−i3000000000000000
χ574-44-44-4-44-44-2122-1-11-21-1-11-11-222-22-200000000i3−i3i3−i3000000000000i3−i3−i3i3−i3i3000000000000000
χ584-44-4-444-4-441-2-1-122-212-2-222-2-111-1-110000−i3i3−i3i30000000000000000000000i3−i3−i3i3i3−i3000000000
χ594-44-4-444-4-441-2-1-122-212-2-222-2-111-1-110000i3−i3i3−i30000000000000000000000−i3i3i3−i3−i3i3000000000
χ604-44-4-444-4-44-2122-1-11-2-111-1-112-2-222-200000000−i3i3−i3i3000000000000i3−i3−i3i3i3−i3000000000000000
χ614-44-4-444-4-44-2122-1-11-2-111-1-112-2-222-200000000i3−i3i3−i3000000000000−i3i3i3−i3−i3i3000000000000000
χ624-44-4-44-444-41-2-1-122-212-22-2-22-11-111-10000−i3i3−i3i30000000000000000000000i3−i3i3−i3−i3i3000000000
χ634-44-4-44-444-41-2-1-122-212-22-2-22-11-111-10000i3−i3i3−i30000000000000000000000−i3i3−i3i3i3−i3000000000
χ644-44-4-44-444-4-2122-1-11-2-11-111-12-22-2-2200000000−i3i3−i3i3000000000000i3−i3i3−i3−i3i3000000000000000
χ654-44-4-44-444-4-2122-1-11-2-11-111-12-22-2-2200000000i3−i3i3−i3000000000000−i3i3−i3i3i3−i3000000000000000
χ664-4-4400000044-44-44-4-400000000000000000000000000−2i22i22i2−2i2000000000000000000000000000
χ674-4-4400000044-44-44-4-4000000000000000000000000002i2−2i2−2i22i2000000000000000000000000000
χ6888-8-80000002-42-2-444-20000000000004-400-2-2220000000000000000000000000000000000000
χ6988-8-80000002-42-2-444-2000000000000-440022-2-20000000000000000000000000000000000000
χ7088-8-8000000-42-442-2-24000000000000004i−4i0000−2i−2i2i2i000000000000000000000000000000000
χ7188-8-8000000-42-442-2-2400000000000000−4i4i00002i2i−2i−2i000000000000000000000000000000000
χ728-8-880000002-4-224-44-20000000000000000−2i32i32i3−2i30000000000000000000000000000000000000
χ738-8-880000002-4-224-44-200000000000000002i3−2i3−2i32i30000000000000000000000000000000000000
χ748-8-88000000-424-4-22-240000000000000000000023−23−2323000000000000000000000000000000000
χ758-8-88000000-424-4-22-2400000000000000000000−232323−23000000000000000000000000000000000

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