Finite Group Databasebeta

← Group #11794347

Character table — Group #11794347

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order1222223344446666661212121236666666121212121212121212126688121224242424242424242424242424242424888824242424242424244488881212121224242424242424242244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1
χ922222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000000000000000002i−2i000000002i2i−2i−2i0000
χ1022222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000000000000000−2i2i00000000−2i−2i2i2i0000
χ112222222-1222222-12-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000220022-1-1-1-10000-1-1-1-10000
χ122222222-1222222-12-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-200-2-21111000011110000
χ132222222-1222222-12-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-12-1-1-1-2-2-1-1-2-2-2-21111111111110000000000002200-2-2-1-1-1-1000011110000
χ142222222-1222222-12-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-12-1-1-1-2-2-1-1-2-2-2-2111111111111000000000000-2-2002211110000-1-1-1-10000
χ152222222-1-2-2-2-222-12-1-1-2-2-2-2-122-1-1-1-1-1-21111111-21-1-100110000333333−3−3−3−3−3−300000000000000002i−2i−i3−i3i3i30000−i−iii0000
χ162222222-1-2-2-2-222-12-1-1-2-2-2-2-122-1-1-1-1-1-21111111-21-1-100110000333333−3−3−3−3−3−30000000000000000−2i2ii3i3−i3−i30000ii−i−i0000
χ172222222-1-2-2-2-222-12-1-1-2-2-2-2-122-1-1-1-1-1-21111111-21-1-100110000−3−3−3−3−3−333333300000000000000002i−2ii3i3−i3−i30000−i−iii0000
χ182222222-1-2-2-2-222-12-1-1-2-2-2-2-122-1-1-1-1-1-21111111-21-1-100110000−3−3−3−3−3−33333330000000000000000−2i2i−i3−i3i3i30000ii−i−i0000
χ19222222-122222-1-12-122-1-1-1-1-1-1-122-1-1-1-122-1-12-1-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-10022000000-1-1-1-100000000
χ20222222-122222-1-12-122-1-1-1-1-1-1-122-1-1-1-122-1-12-1-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-21111111100-2-2000000111100000000
χ21222222-122222-1-12-122-1-1-1-1-1-1-122-1-1-1-122-1-12-1-1-12-1-1-2-2-1-11111-2-21111-2-211112222-1-1-1-1-1-1-1-100-2-2000000111100000000
χ22222222-122222-1-12-122-1-1-1-1-1-1-122-1-1-1-122-1-12-1-1-12-1-1-2-2-1-11111-2-21111-2-21111-2-2-2-2111111110022000000-1-1-1-100000000
χ232222-2-2222-22-222222222222-2-2-2-2222-22-222222-2-2-2-200-2-20000000000000000000000000000000000000000000000002-2
χ242222-2-2222-22-222222222222-2-2-2-2222-22-222222-2-2-2-200-2-2000000000000000000000000000000000000000000000000-22
χ252222-2-222-22-22222222-2-2-2-22-2-2-2-22222-22-2-2-2-2-222-2-20022000000000000000022-2-22222-2-2-2-20000000000000000000000
χ262222-2-222-22-22222222-2-2-2-22-2-2-2-22222-22-2-2-2-2-222-2-200220000000000000000-2-222-2-2-2-222220000000000000000000000
χ272222-2-2-12-22-22-1-12-1221111-111-2-2-1-1-1-1-2211-211-121100-1-133−3−30033−3−30033−3−322-2-2-1-1-1-11111000000000033−3−300000000
χ282222-2-2-12-22-22-1-12-1221111-111-2-2-1-1-1-1-2211-211-121100-1-133−3−30033−3−30033−3−3-2-2221111-1-1-1-10000000000−3−33300000000
χ292222-2-2-12-22-22-1-12-1221111-111-2-2-1-1-1-1-2211-211-121100-1-1−3−33300−3−33300−3−33322-2-2-1-1-1-111110000000000−3−33300000000
χ302222-2-2-12-22-22-1-12-1221111-111-2-2-1-1-1-1-2211-211-121100-1-1−3−33300−3−33300−3−333-2-2221111-1-1-1-1000000000033−3−300000000
χ3122-2-22-22222-2-2-2-2-222-222-2-222-22-2-2-2222222-2-2-2-2-22-2002-200000000000000000000000000000000000000000000002-200
χ3222-2-22-22222-2-2-2-2-222-222-2-222-22-2-2-2222222-2-2-2-2-22-2002-20000000000000000000000000000000000000000000000-2200
χ3322-2-22-222-2-222-2-2-222-2-2-22222-22-2-2-22-2-2-2-2-2222222-200-220000000000000000000000000000002-20000002-22-200000000
χ3422-2-22-222-2-222-2-2-222-2-2-22222-22-2-2-22-2-2-2-2-2222222-200-22000000000000000000000000000000-22000000-22-2200000000
χ3522-2-22-2-12-2-22211-2-12-211-1-1-1-112-211-11-2-2112-1-1-12-11001-1−i3i3−i3i300−i3i3−i3i300−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3002-2000000-11-1100000000
χ3622-2-22-2-12-2-22211-2-12-211-1-1-1-112-211-11-2-2112-1-1-12-11001-1−i3i3−i3i300−i3i3−i3i300−i3i3−i3i30000i3i3−i3−i3i3i3−i3−i300-220000001-11-100000000
χ3722-2-22-2-12-2-22211-2-12-211-1-1-1-112-211-11-2-2112-1-1-12-11001-1i3−i3i3−i300i3−i3i3−i300i3−i3i3−i30000−i3−i3i3i3−i3−i3i3i300-220000001-11-100000000
χ3822-2-22-2-12-2-22211-2-12-211-1-1-1-112-211-11-2-2112-1-1-12-11001-1i3−i3i3−i300i3−i3i3−i300i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3002-2000000-11-1100000000
χ3922-2-2-22222-2-22-2-2-222-222-2-22-22-22-2-22-22-222-2-2-222-222i−2i-222i−2i−2i2i2i−2i2i−2i−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000
χ4022-2-2-22222-2-22-2-2-222-222-2-22-22-22-2-22-22-222-2-2-222-22−2i2i-22−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000
χ4122-2-2-2222-222-2-2-2-222-2-2-2222-22-22-2-222-22-2-2222-2-2-22002-200000000000000000000000000002i−2i00002i−2i2i−2i000000000000
χ4222-2-2-2222-222-2-2-2-222-2-2-2222-22-22-2-222-22-2-2222-2-2-22002-20000000000000000000000000000−2i2i0000−2i2i−2i2i000000000000
χ4322-2-2-222-12-2-22-2-212-1122-2-2-1-221-111-1-2-11-1-11112-11-12i−2i1-12i−2i−2i2i−ii−iii−i−ii−iii−i0000000000000000003−3−330000−i3i3−i3i30000
χ4422-2-2-222-12-2-22-2-212-1122-2-2-1-221-111-1-2-11-1-11112-11-12i−2i1-12i−2i−2i2i−ii−iii−i−ii−iii−i000000000000000000−333−30000i3−i3i3−i30000
χ4522-2-2-222-12-2-22-2-212-1122-2-2-1-221-111-1-2-11-1-11112-11-1−2i2i1-1−2i2i2i−2ii−ii−i−iii−ii−i−ii0000000000000000003−3−330000i3−i3i3−i30000
χ4622-2-2-222-12-2-22-2-212-1122-2-2-1-221-111-1-2-11-1-11112-11-1−2i2i1-1−2i2i2i−2ii−ii−i−iii−ii−i−ii000000000000000000−333−30000−i3i3−i3i30000
χ4722-2-2-222-1-222-2-2-212-11-2-222-1-221-111-121-111-1-1-1-211-100-110000−i3i3−i3i3i3−i3i3−i3i3−i3−i3i30000000000002i−2i0000−ii−ii0000−333−30000
χ4822-2-2-222-1-222-2-2-212-11-2-222-1-221-111-121-111-1-1-1-211-100-110000−i3i3−i3i3i3−i3i3−i3i3−i3−i3i3000000000000−2i2i0000i−ii−i00003−3−330000
χ4922-2-2-222-1-222-2-2-212-11-2-222-1-221-111-121-111-1-1-1-211-100-110000i3−i3i3−i3−i3i3−i3i3−i3i3i3−i30000000000002i−2i0000−ii−ii00003−3−330000
χ5022-2-2-222-1-222-2-2-212-11-2-222-1-221-111-121-111-1-1-1-211-100-110000i3−i3i3−i3−i3i3−i3i3−i3i3i3−i3000000000000−2i2i0000i−ii−i0000−333−30000
χ5122-2-2-22-122-2-2211-2-12-2-1-111-11-1-2211-112-2-1-1-211-121-12i−2i1-1−iii−i2i−2i−iii−i2i−2i−iii−i0000−i3−i3i3i3i3i3−i3−i300000000003−3−3300000000
χ5222-2-2-22-122-2-2211-2-12-2-1-111-11-1-2211-112-2-1-1-211-121-12i−2i1-1−iii−i2i−2i−iii−i2i−2i−iii−i0000i3i3−i3−i3−i3−i3i3i30000000000−333−300000000
χ5322-2-2-22-122-2-2211-2-12-2-1-111-11-1-2211-112-2-1-1-211-121-1−2i2i1-1i−i−ii−2i2ii−i−ii−2i2ii−i−ii0000−i3−i3i3i3i3i3−i3−i30000000000−333−300000000
χ5422-2-2-22-122-2-2211-2-12-2-1-111-11-1-2211-112-2-1-1-211-121-1−2i2i1-1i−i−ii−2i2ii−i−ii−2i2ii−i−ii0000i3i3−i3−i3−i3−i3i3i300000000003−3−3300000000
χ55444444-24-4-4-4-4-2-24-2442222-2-2-244-2-2-22-4-422-4222-4-2-2002200000000000000000000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-211-211-2-2114411-2-2-2-2-2-21111-2-211110000000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-211-211-2-211-4-411222222-1-1-1-122-1-1-1-10000000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-2111222-1-12-1-1221100-1-100002323−3−3−3−3−23−2333330000000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-2111222-1-12-1-1221100-1-10000−23−2333332323−3−3−3−30000000000000000000000000000000000
χ604444-4-44-24-44-444-24-2-24444-2-4-422-2-2-2-4-22-2-2-2-2-2-4222002200000000000000000000000000000000000000000000000000
χ614444-4-44-2-44-4444-24-2-2-4-4-4-4-2-4-422-2-2-242-2222224-22200-2-200000000000000000000000000000000000000000000000000
χ624444-4-4-244-44-4-2-24-244-2-2-2-2-222-4-4-2-2-224-4-2-24-2-22-422002200000000000000000000000000000000000000000000000000
χ634444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-2122221112-2211-21122-1-100-1-100000033-3-300-3-3330000000000000000000000000000000000
χ644444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-2122221112-2211-21122-1-100-1-1000000-3-3330033-3-30000000000000000000000000000000000
χ654444-4-4-2-2-44-44-2-2-2-2-2-2222212222111-22-2-1-12-1-1-2-2-1-100112323−23−2300−3−33300−3−3330000000000000000000000000000000000
χ664444-4-4-2-2-44-44-2-2-2-2-2-2222212222111-22-2-1-12-1-1-2-2-1-10011−23−2323230033−3−30033−3−30000000000000000000000000000000000
χ6744-4-44-44-244-4-4-4-424-2244-4-4-24-4-2222-24-2-2-2-2222-42-2200-2200000000000000000000000000000000000000000000000000
χ6844-4-44-44-2-4-444-4-424-22-4-444-24-4-2222-2-42222-2-2-24-2-22002-200000000000000000000000000000000000000000000000000
χ6944-4-44-4-2444-4-422-4-24-4-2-222-2-224-422-2-244-2-2-4222-4-2200-2200000000000000000000000000000000000000000000000000
χ7044-4-44-4-2-244-4-4222-2-22-2-2221-22-22-1-11-2-2-2112-1-1221-1001-10000003i−3i3i−3i00−3i3i−3i3i0000000000000000000000000000000000
χ7144-4-44-4-2-244-4-4222-2-22-2-2221-22-22-1-11-2-2-2112-1-1221-1001-1000000−3i3i−3i3i003i−3i3i−3i0000000000000000000000000000000000
χ7244-4-44-4-2-2-4-444222-2-2222-2-21-22-22-1-11222-1-1-211-2-21-100-11−2i32i3−2i32i300i3−i3i3−i300i3−i3i3−i30000000000000000000000000000000000
χ7344-4-44-4-2-2-4-444222-2-2222-2-21-22-22-1-11222-1-1-211-2-21-100-112i3−2i32i3−2i300−i3i3−i3i300−i3i3−i3i30000000000000000000000000000000000
χ7444-4-4-44-24-444-422-4-24-422-2-2-22-2-4422-2-2-44224-2-22-42-200-2200000000000000000000000000000000000000000000000000
χ7544-4-4-44-2-24-4-44222-2-22-2-22212-22-2-1-112-22112-1-1-2-2-114i−4i-11−2i2i2i−2i−2i2ii−i−ii−2i2ii−i−ii0000000000000000000000000000000000
χ7644-4-4-44-2-24-4-44222-2-22-2-22212-22-2-1-112-22112-1-1-2-2-11−4i4i-112i−2i−2i2i2i−2i−iii−i2i−2i−iii−i0000000000000000000000000000000000
χ7744-4-4-44-2-2-444-4222-2-2222-2-212-22-2-1-11-22-2-1-1-21122-11001-10000−2i32i3i3−i3−i3i32i3−2i3−i3i3i3−i30000000000000000000000000000000000
χ7844-4-4-44-2-2-444-4222-2-2222-2-212-22-2-1-11-22-2-1-1-21122-11001-100002i3−2i3−i3i3i3−i3−2i32i3i3−i3−i3i30000000000000000000000000000000000
χ794-44-4004400004-44-4-4-40000400004-4-40000000000000000000000000000000000−2i22i20000−2i22i2−2i22i20000000000000000000000
χ804-44-4004400004-44-4-4-40000400004-4-400000000000000000000000000000000002i2−2i200002i2−2i22i2−2i20000000000000000000000
χ814-44-400-240000-2242-4-423−2323−23-20000-22200023−23023−2300000000000000000000000000−2i22i2i6−i6i6−i6i2−i2i2−i20000000000000000000000
χ824-44-400-240000-2242-4-423−2323−23-20000-22200023−23023−23000000000000000000000000002i2−2i2−i6i6−i6i6−i2i2−i2i20000000000000000000000
χ834-44-400-240000-2242-4-4−2323−2323-20000-222000−23230−232300000000000000000000000000−2i22i2−i6i6−i6i6i2−i2i2−i20000000000000000000000
χ844-44-400-240000-2242-4-4−2323−2323-20000-222000−23230−2323000000000000000000000000002i2−2i2i6−i6i6−i6−i2i2−i2i20000000000000000000000
χ854-4-4400440000-44-4-4-44000040000-44-40000000000000000000000000000000022−220022−22−222200000000000000000000000000
χ864-4-4400440000-44-4-4-44000040000-44-400000000000000000000000000000000−222200−222222−2200000000000000000000000000
χ874-4-4400-2400002-2-42-4423−23−2323-200002-2200023−230−232300000000000000000000000022−2200−222−2−666−60000000000000000000000
χ884-4-4400-2400002-2-42-4423−23−2323-200002-2200023−230−2323000000000000000000000000−2222002−2−226−6−660000000000000000000000
χ894-4-4400-2400002-2-42-44−232323−23-200002-22000−2323023−2300000000000000000000000022−2200−222−26−6−660000000000000000000000
χ904-4-4400-2400002-2-42-44−232323−23-200002-22000−2323023−23000000000000000000000000−2222002−2−22−666−60000000000000000000000
χ918-88-8008-400008-8-4-8440000-40000-444000000000000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-40000-44-444443−4343−43200002-2-2000−23230−23230000000000000000000000000000000000000000000000000000000000
χ938-88-800-4-40000-44-4444−4343−4343200002-2-200023−23023−230000000000000000000000000000000000000000000000000000000000
χ948-8-88008-40000-884-84-40000-400004-44000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-400004-4444-443−43−434320000-22-2000−2323023−230000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-400004-4444-4−434343−4320000-22-200023−230−23230000000000000000000000000000000000000000000000000000000000

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