Finite Group Databasebeta

← Group #11794600

Character table — Group #11794600

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11111111444444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order122222223344666666666666661212121212121212444444444444121212121212121212121212121212124488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1
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
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ92222222222222222222222222222222222-2-2-2-2000000000000000000000000-2-200000000
χ102222222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002200000000
χ11222-2-22-2-22200222222-2-2-2-2-2-2-2-20000000000000000000000000000000000002-222−2−222−2−2
χ12222-2-22-2-22200222222-2-2-2-2-2-2-2-20000000000000000000000000000000000002-2−2−222−2−222
χ13222-2-22-2-22200222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000-2222−2−2−2−222
χ14222-2-22-2-22200222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000-22−2−22222−2−2
χ1522-22-2-2-22220022-2-2-2-2222-22-2-2-20000000022-2-20000002-20000000022-2-200000000000000
χ1622-22-2-2-22220022-2-2-2-2222-22-2-2-20000000022-2-2000000-2200000000-2-22200000000000000
χ1722-22-2-2-22220022-2-2-2-2222-22-2-2-200000000-2-22200002i−2i0000002i2i−2i−2i000000000000000000
χ1822-22-2-2-22220022-2-2-2-2222-22-2-2-200000000-2-2220000−2i2i000000−2i−2i2i2i000000000000000000
χ192-22-2-2-2222200-2-222-2-22-2-2-2222-2000000002-22-22i−2i0000000000000000002i2i−2i−2i0000000000
χ202-22-2-2-2222200-2-222-2-22-2-2-2222-2000000002-22-2−2i2i000000000000000000−2i−2i2i2i0000000000
χ212-22-2-2-2222200-2-222-2-22-2-2-2222-200000000-22-22002-2000022-2-20000000000000000000000
χ222-22-2-2-2222200-2-222-2-22-2-2-2222-200000000-22-2200-220000-2-2220000000000000000000000
χ232-2-22-222-2222i−2i-2-2-2-222-222-2-222-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000−i2i2−i2i22−22−2
χ242-2-22-222-2222i−2i-2-2-2-222-222-2-222-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000i2−i2i2−i2−22−22
χ252-2-22-222-222−2i2i-2-2-2-222-222-2-222-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000−i2i2−i2i2−22−22
χ262-2-22-222-222−2i2i-2-2-2-222-222-2-222-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000i2−i2i2−i22−22−2
χ272-2-2-222-222200-2-2-2-2222-2-222-2-22000000002-2-220000000000000000000000000000002-2-22
χ282-2-2-222-222200-2-2-2-2222-2-222-2-22000000002-2-22000000000000000000000000000000-222-2
χ292-2-2-222-222200-2-2-2-2222-2-222-2-2200000000-222-2000000000000000000000000002i−2i−2i2i0000
χ302-2-2-222-222200-2-2-2-2222-2-222-2-2200000000-222-200000000000000000000000000−2i2i2i−2i0000
χ31444444441-2441-21-21-211-2-2-21-21-2-2-2-21111000022220000-1-1-1-100000000-1-1-1-10000000000
χ32444444441-2441-21-21-211-2-2-21-21-2-2-2-211110000-2-2-2-2000011110000000011110000000000
χ33444444441-2-4-41-21-21-211-2-2-21-212222-1-1-1-1000022-2-20000111100000000-1-1-1-10000000000
χ34444444441-2-4-41-21-21-211-2-2-21-212222-1-1-1-10000-2-2220000-1-1-1-10000000011110000000000
χ3544444444-2144-21-21-21-2-2111-21-21111-2-2-2-20000000022220000-1-1-1-1-1-1-1-100000000000000
χ3644444444-2144-21-21-21-2-2111-21-21111-2-2-2-200000000-2-2-2-200001111111100000000000000
χ3744444444-21-4-4-21-21-21-2-2111-21-2-1-1-1-122220000000022-2-20000-1-1-1-1111100000000000000
χ3844444444-21-4-4-21-21-21-2-2111-21-2-1-1-1-1222200000000-2-22200001111-1-1-1-100000000000000
χ3944-44-4-4-44-2100-212-12-1-2-21-112-123i−3i3i−3i0000000000002i−2i2-20000−i−iii-1-11100000000000000
χ4044-44-4-4-44-2100-212-12-1-2-21-112-123i−3i3i−3i000000000000−2i2i-220000ii−i−i11-1-100000000000000
χ4144-44-4-4-44-2100-212-12-1-2-21-112-12−3i3i−3i3i0000000000002i−2i-220000−i−iii11-1-100000000000000
χ4244-44-4-4-44-2100-212-12-1-2-21-112-12−3i3i−3i3i000000000000−2i2i2-20000ii−i−i-1-11100000000000000
χ4344-4-44-44-41-2001-2-12-12-1-12-221-2100003-33-3000000000000−i3i3−i3i300000000−i3i3−i3i30000000000
χ4444-4-44-44-41-2001-2-12-12-1-12-221-2100003-33-3000000000000i3−i3i3−i300000000i3−i3i3−i30000000000
χ4544-4-44-44-41-2001-2-12-12-1-12-221-210000-33-33000000000000−i3i3−i3i300000000i3−i3i3−i30000000000
χ4644-4-44-44-41-2001-2-12-12-1-12-221-210000-33-33000000000000i3−i3i3−i300000000−i3i3−i3i30000000000
χ4744-4-44-44-4440044-4-4-4-4-4-4-44-44440000000000000000000000000000000000000000000000
χ484-4444-4-4-44400-4-444-4-4-4444-4-4-440000000000000000000000000000000000000000000000
χ494-4444-4-4-4-21002-1-212-12-211-12-1-23-3-33000000000000000000003−33−33−33−300000000000000
χ504-4444-4-4-4-21002-1-212-12-211-12-1-23-3-3300000000000000000000−33−33−33−3300000000000000
χ514-4444-4-4-4-21002-1-212-12-211-12-1-2-333-3000000000000000000003−33−3−33−3300000000000000
χ524-4444-4-4-4-21002-1-212-12-211-12-1-2-333-300000000000000000000−33−333−33−300000000000000
χ534-44-4-4-4441-200-121-2-121-122-21-2-100003i−3i−3i3i00002i−2i2-20000-1-11100000000−i−iii0000000000
χ544-44-4-4-4441-200-121-2-121-122-21-2-100003i−3i−3i3i0000−2i2i-22000011-1-100000000ii−i−i0000000000
χ554-44-4-4-4441-200-121-2-121-122-21-2-10000−3i3i3i−3i00002i−2i-22000011-1-100000000−i−iii0000000000
χ564-44-4-4-4441-200-121-2-121-122-21-2-10000−3i3i3i−3i0000−2i2i2-20000-1-11100000000ii−i−i0000000000
χ574-4-44-444-41-24i−4i-12-121-2-11-2221-2-1−2i−2i2i2iii−i−i000000000000−i3i3i3−i3000000003−3−330000000000
χ584-4-44-444-41-24i−4i-12-121-2-11-2221-2-1−2i−2i2i2iii−i−i000000000000i3−i3−i3i300000000−333−30000000000
χ594-4-44-444-41-2−4i4i-12-121-2-11-2221-2-12i2i−2i−2i−i−iii000000000000−i3i3i3−i300000000−333−30000000000
χ604-4-44-444-41-2−4i4i-12-121-2-11-2221-2-12i2i−2i−2i−i−iii000000000000i3−i3−i3i3000000003−3−330000000000
χ614-4-44-444-4-214i−4i2-12-1-212-21-1-1-212ii−i−i−2i−2i2i2i0000000000000000−i3i3i3−i3−333−300000000000000
χ624-4-44-444-4-214i−4i2-12-1-212-21-1-1-212ii−i−i−2i−2i2i2i0000000000000000i3−i3−i3i33−3−3300000000000000
χ634-4-44-444-4-21−4i4i2-12-1-212-21-1-1-212−i−iii2i2i−2i−2i0000000000000000−i3i3i3−i33−3−3300000000000000
χ644-4-44-444-4-21−4i4i2-12-1-212-21-1-1-212−i−iii2i2i−2i−2i0000000000000000i3−i3−i3i3−333−300000000000000
χ65888-8-88-8-82-4002-42-42-4-2-2444-24-20000000000000000000000000000000000000000000000
χ66888-8-88-8-8-4200-42-42-4244-2-2-24-240000000000000000000000000000000000000000000000
χ6788-88-8-8-882-4002-4-24-2422-44-4-24-20000000000000000000000000000000000000000000000
χ6888-8-88-88-8-4200-424-24-244-22-2-42-40000000000000000000000000000000000000000000000
χ698-8888-8-8-82-400-242-4-24-22-4-44-2420000000000000000000000000000000000000000000000
χ708-88-8-8-888-42004-2-424-2-44-2-22-4240000000000000000000000000000000000000000000000
χ718-8-8-888-882-400-24-242-42-24-4-4-2420000000000000000000000000000000000000000000000
χ728-8-8-888-88-42004-24-2-42-44-2224-2-40000000000000000000000000000000000000000000000

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