Finite Group Databasebeta

← Group #11795347

Character table — Group #11795347

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order1222223344446666663666666612121212121212121212121266881212242424242424242424242424242424244444888812121212121212122424242424242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1
χ922222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222i−2i-2-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i000000000000000000000000000000
χ1022222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-222−2i2i-2-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i000000000000000000000000000000
χ112222222-122222-12-12-1-122-1-1-1-1-122-1-1-1-12-1-1-12-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1002200220000-1-1-1-10000-1-1-1-1000000
χ122222222-122222-12-12-1-122-1-1-1-1-122-1-1-1-12-1-1-12-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-100-2-200-2-20000111100001111000000
χ132222222-122222-12-12-1-122-1-1-1-1-122-1-1-1-12-1-1-12-1-1-1-2-2-1-1-2-2111111-2-2111111002200-2-20000-1-1-1-100001111000000
χ142222222-122222-12-12-1-122-1-1-1-1-122-1-1-1-12-1-1-12-1-1-1-2-2-1-1-2-2111111-2-211111100-2-20022000011110000-1-1-1-1000000
χ152222222-1-2-2-2-22-12-12-1-122-1-1-1-1-1-2-21111-2111-21-1-12i−2i112i2i−i−i−i−i−i−i−2i−2iiiiiii000000000000−i3−i3i3i3000033−3−3000000
χ162222222-1-2-2-2-22-12-12-1-122-1-1-1-1-1-2-21111-2111-21-1-12i−2i112i2i−i−i−i−i−i−i−2i−2iiiiiii000000000000i3i3−i3−i30000−3−333000000
χ172222222-1-2-2-2-22-12-12-1-122-1-1-1-1-1-2-21111-2111-21-1-1−2i2i11−2i−2iiiiiii2i2i−i−i−i−i−i−i000000000000−i3−i3i3i30000−3−333000000
χ182222222-1-2-2-2-22-12-12-1-122-1-1-1-1-1-2-21111-2111-21-1-1−2i2i11−2i−2iiiiiii2i2i−i−i−i−i−i−i000000000000i3i3−i3−i3000033−3−3000000
χ19222222-122222-12-12-12-1-1-122-1-1-1-1-122-1-1-12-1-1-12-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-122002200-1-1-1-10000-1-1-1-10000000000
χ20222222-122222-12-12-12-1-1-122-1-1-1-1-122-1-1-12-1-1-12-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-200-2-2001111000011110000000000
χ21222222-122222-12-12-12-1-1-122-1-1-1-1-122-1-1-12-1-1-12-1-1-2-2-1-111-2-2111111-2-211112200-2-200-1-1-1-1000011110000000000
χ22222222-122222-12-12-12-1-1-122-1-1-1-1-122-1-1-12-1-1-12-1-1-2-2-1-111-2-2111111-2-21111-2-200220011110000-1-1-1-10000000000
χ23222222-12-2-2-2-2-12-12-12-1-1-122-1-1-111-2-2111-2111-2-1-12i−2i11−i−i2i2i−i−i−i−iii−2i−2iiiii00000000−i3−i3i3i3000033−3−30000000000
χ24222222-12-2-2-2-2-12-12-12-1-1-122-1-1-111-2-2111-2111-2-1-12i−2i11−i−i2i2i−i−i−i−iii−2i−2iiiii00000000i3i3−i3−i30000−3−3330000000000
χ25222222-12-2-2-2-2-12-12-12-1-1-122-1-1-111-2-2111-2111-2-1-1−2i2i11ii−2i−2iiiii−i−i2i2i−i−i−i−i00000000−i3−i3i3i30000−3−3330000000000
χ26222222-12-2-2-2-2-12-12-12-1-1-122-1-1-111-2-2111-2111-2-1-1−2i2i11ii−2i−2iiiii−i−i2i2i−i−i−i−i00000000i3i3−i3−i3000033−3−30000000000
χ272222-2-2222-2-222222222-2-2-2-22222-22-2222222-2-2-2-200-2-2000000000000000000000000000000000000000022-2-200
χ282222-2-2222-2-222222222-2-2-2-22222-22-2222222-2-2-2-200-2-20000000000000000000000000000000000000000-2-22200
χ292222-2-222-222-22222222-2-2-2-2222-22-22-2-2-2-2-2-222-2-20022000000000000000000000000000000000000000000002-2
χ302222-2-222-222-22222222-2-2-2-2222-22-22-2-2-2-2-2-222-2-2002200000000000000000000000000000000000000000000-22
χ3122-2-22-22222-2-2-2-222-2-222-22-2-2-22222-222-2-2-2-2-222-2002-200000000000000000000002-20000000000002-22-2000000
χ3222-2-22-22222-2-2-2-222-2-222-22-2-2-22222-222-2-2-2-2-222-2002-20000000000000000000000-22000000000000-22-22000000
χ3322-2-22-222-2-222-2-222-2-222-22-2-2-22-2-2-22-2-222222-22-200-220000000000000000002i−2i000000002i−2i2i−2i00000000000000
χ3422-2-22-222-2-222-2-222-2-222-22-2-2-22-2-2-22-2-222222-22-200-22000000000000000000−2i2i00000000−2i2i−2i2i00000000000000
χ3522-2-22-22-122-2-2-212-1-21-12-2-1111-122-11-1-1-2111-2-1-1100-11003−333−3−3003−333−3−30000002-200003−3−330000-11-11000000
χ3622-2-22-22-122-2-2-212-1-21-12-2-1111-122-11-1-1-2111-2-1-1100-11003−333−3−3003−333−3−3000000-220000−333−300001-11-1000000
χ3722-2-22-22-122-2-2-212-1-21-12-2-1111-122-11-1-1-2111-2-1-1100-1100−33−3−33300−33−3−3330000002-20000−333−30000-11-11000000
χ3822-2-22-22-122-2-2-212-1-21-12-2-1111-122-11-1-1-2111-2-1-1100-1100−33−3−33300−33−3−333000000-2200003−3−3300001-11-1000000
χ3922-2-22-22-1-2-222-212-1-21-12-2-1111-1-2-21-1112-1-1-121-11001-100−i3i3−i3−i3i3i300i3−i3i3i3−i3−i3002i−2i00000000−ii−ii0000−333−3000000
χ4022-2-22-22-1-2-222-212-1-21-12-2-1111-1-2-21-1112-1-1-121-11001-100−i3i3−i3−i3i3i300i3−i3i3i3−i3−i300−2i2i00000000i−ii−i00003−3−33000000
χ4122-2-22-22-1-2-222-212-1-21-12-2-1111-1-2-21-1112-1-1-121-11001-100i3−i3i3i3−i3−i300−i3i3−i3−i3i3i3002i−2i00000000−ii−ii00003−3−33000000
χ4222-2-22-22-1-2-222-212-1-21-12-2-1111-1-2-21-1112-1-1-121-11001-100i3−i3i3i3−i3−i300−i3i3−i3−i3i3i300−2i2i00000000i−ii−i0000−333−3000000
χ4322-2-2-22222-22-2-2-222-2-22-22-22-2-222-22222-2-2-2-22-2-2200-22000000000000000000002-200000000002-22-20000000000
χ4422-2-2-22222-22-2-2-222-2-22-22-22-2-222-22222-2-2-2-22-2-2200-2200000000000000000000-220000000000-22-220000000000
χ4522-2-2-2222-22-22-2-222-2-22-22-22-2-22-22-2-2-2-22222-22-22002-200000000000000002i−2i0000002i−2i2i−2i000000000000000000
χ4622-2-2-2222-22-22-2-222-2-22-22-22-2-22-22-2-2-2-22222-22-22002-20000000000000000−2i2i000000−2i2i−2i2i000000000000000000
χ4722-2-2-22-122-22-21-2-121-2-11-1-2211-1-1122-1-11-211-1-21-1001-13−3003−33−33−3003−33−300002-2003−3−330000-11-110000000000
χ4822-2-2-22-122-22-21-2-121-2-11-1-2211-1-1122-1-11-211-1-21-1001-13−3003−33−33−3003−33−30000-2200−333−300001-11-10000000000
χ4922-2-2-22-122-22-21-2-121-2-11-1-2211-1-1122-1-11-211-1-21-1001-1−3300−33−33−3300−33−3300002-200−333−30000-11-110000000000
χ5022-2-2-22-122-22-21-2-121-2-11-1-2211-1-1122-1-11-211-1-21-1001-1−3300−33−33−3300−33−330000-22003−3−3300001-11-10000000000
χ5122-2-2-22-12-22-221-2-121-2-11-1-2211-11-1-2-211-12-1-1121-100-11−i3i300−i3i3−i3i3i3−i300i3−i3i3−i32i−2i000000−ii−ii0000−333−30000000000
χ5222-2-2-22-12-22-221-2-121-2-11-1-2211-11-1-2-211-12-1-1121-100-11−i3i300−i3i3−i3i3i3−i300i3−i3i3−i3−2i2i000000i−ii−i00003−3−330000000000
χ5322-2-2-22-12-22-221-2-121-2-11-1-2211-11-1-2-211-12-1-1121-100-11i3−i300i3−i3i3−i3−i3i300−i3i3−i3i32i−2i000000−ii−ii00003−3−330000000000
χ5422-2-2-22-12-22-221-2-121-2-11-1-2211-11-1-2-211-12-1-1121-100-11i3−i300i3−i3i3−i3−i3i300−i3i3−i3i3−2i2i000000i−ii−i0000−333−30000000000
χ55444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-211-2-211-2-2114411-2-2-2-21111-2-2-2-21111000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-211-2-211-2-211-4-4112222-1-1-1-12222-1-1-1-1000000000000000000000000000000
χ57444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21112222-1-122-1-122114i−4i-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21112222-1-122-1-12211−4i4i-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii000000000000000000000000000000
χ594444-4-44-24-4-444-24-24-2-2-4-422-2-2-24-4-22-2-24-2-2-2-422200220000000000000000000000000000000000000000000000
χ604444-4-44-2-444-44-24-24-2-2-4-422-2-2-2-442-222-42224-22200-2-20000000000000000000000000000000000000000000000
χ614444-4-4-244-4-44-24-24-24-222-4-4-2-2-2-224-4-2-2-24-2-22-42200220000000000000000000000000000000000000000000000
χ624444-4-4-24-444-4-24-24-24-222-4-4-2-2-22-2-44222-422-242200-2-20000000000000000000000000000000000000000000000
χ634444-4-4-2-24-4-44-2-2-2-2-2-212222111-22-2211-2-21122-1-100-1-100003-3-3300003-3-33000000000000000000000000000000
χ644444-4-4-2-24-4-44-2-2-2-2-2-212222111-22-2211-2-21122-1-100-1-10000-333-30000-333-3000000000000000000000000000000
χ654444-4-4-2-2-444-4-2-2-2-2-2-2122221112-22-2-1-122-1-1-2-2-1-1001100003i−3i−3i3i0000−3i3i3i−3i000000000000000000000000000000
χ664444-4-4-2-2-444-4-2-2-2-2-2-2122221112-22-2-1-122-1-1-2-2-1-100110000−3i3i3i−3i00003i−3i−3i3i000000000000000000000000000000
χ6744-4-44-4-2444-4-42-4-242-4-2-224-422-2-2-24-4-2-22-42224-2200-220000000000000000000000000000000000000000000000
χ6844-4-44-4-24-4-4442-4-242-4-2-224-422-222-4422-24-2-2-2-4-22002-20000000000000000000000000000000000000000000000
χ6944-4-44-4-2-244-4-422-2-2221-22-22-1-11-2-2-221122-1-12-21-1001-10023−23−3−3330023−23−3−333000000000000000000000000000000
χ7044-4-44-4-2-244-4-422-2-2221-22-22-1-11-2-2-221122-1-12-21-1001-100−232333−3−300−232333−3−3000000000000000000000000000000
χ7144-4-44-4-2-2-4-44422-2-2221-22-22-1-11222-2-1-1-2-211-221-100-1100−2i32i3i3i3−i3−i3002i3−2i3−i3−i3i3i3000000000000000000000000000000
χ7244-4-44-4-2-2-4-44422-2-2221-22-22-1-11222-2-1-1-2-211-221-100-11002i3−2i3−i3−i3i3i300−2i32i3i3i3−i3−i3000000000000000000000000000000
χ7344-4-4-444-24-44-4-424-2-42-2-442-222-24-4-2-2-2-2-4222422-2002-20000000000000000000000000000000000000000000000
χ7444-4-4-444-2-44-44-424-2-42-2-442-222-2-4422224-2-2-2-4-22-200-220000000000000000000000000000000000000000000000
χ7544-4-4-44-2-24-44-422-2-22212-22-2-1-11-22-2-21122-1-1-22-1100-1123−2300−33−3323−2300−33−33000000000000000000000000000000
χ7644-4-4-44-2-24-44-422-2-22212-22-2-1-11-22-2-21122-1-1-22-1100-11−2323003−33−3−2323003−33−3000000000000000000000000000000
χ7744-4-4-44-2-2-44-4422-2-22212-22-2-1-112-222-1-1-2-2112-2-11001-1−2i32i300i3−i3i3−i32i3−2i300−i3i3−i3i3000000000000000000000000000000
χ7844-4-4-44-2-2-44-4422-2-22212-22-2-1-112-222-1-1-2-2112-2-11001-12i3−2i300−i3i3−i3i3−2i32i300i3−i3i3−i3000000000000000000000000000000
χ794-44-4004400004-4-4-4-44400004-4-4000000000000000000000000000000000000000000000000000000000000−2i22i200
χ804-44-4004400004-4-4-4-44400004-4-40000000000000000000000000000000000000000000000000000000000002i2−2i200
χ814-4-4400440000-44-4-44-440000-44-40000000000000000000000000000000000000000000000000000000000−2i22i20000
χ824-4-4400440000-44-4-44-440000-44-400000000000000000000000000000000000000000000000000000000002i2−2i20000
χ838-88-8008-4000084-84-8-4-40000-4440000000000000000000000000000000000000000000000000000000000000000
χ848-88-800-480000-4-84-848-40000-4440000000000000000000000000000000000000000000000000000000000000000
χ858-88-800-4-40000-44444-4200002-2-200006i−6i006i−6i000000000000000000000000000000000000000000000000000000
χ868-88-800-4-40000-44444-4200002-2-20000−6i6i00−6i6i000000000000000000000000000000000000000000000000000000
χ878-8-88008-40000-8-4-8484-400004-440000000000000000000000000000000000000000000000000000000000000000
χ888-8-8800-480000484-8-4-8-400004-440000000000000000000000000000000000000000000000000000000000000000
χ898-8-8800-4-400004-444-4420000-22-200006i−6i00−6i6i000000000000000000000000000000000000000000000000000000
χ908-8-8800-4-400004-444-4420000-22-20000−6i6i006i−6i000000000000000000000000000000000000000000000000000000

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