Finite Group Databasebeta

← Group #11775902

Character table — Group #11775902

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122224444444444444444488888888888888888888888888181818181818363636363636363636727272727272
order1222224433466666612121212121212124466661212121212121212121212121212121212121212444444488888888448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1iiii−i−i−i−i-1-1ii−i−i
χ4111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−iii
χ51111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1
χ61111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ81111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ91111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11ii−i−iii−i−i1-1i−ii−i
χ101111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11−i−iii−i−iii1-1−ii−ii
χ111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-111-111-1-11
χ121111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-11-111-1
χ131111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11ii−i−iii−i−i-11−ii−ii
χ141111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11−i−iii−i−iii-11i−ii−i
χ151111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-111-1-1-1-1111-1-111-1
χ161111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-11111-1-11-11-1-11
χ17222222-2-222-2222222-2-2-2-2-2-2-2-2002222-2-2-2-200000000000000002222-2-2-200000000000000
χ18222222-2-222-2222222-2-2-2-2-2-2-2-2002222-2-2-2-20000000000000000-2-2-2-222200000000000000
χ192222-2-22222-22222222222222200-2-2-2-2-2-2-2-2000000000000000022-2-222-200000000000000
χ202222-2-22222-22222222222222200-2-2-2-2-2-2-2-20000000000000000-2-222-2-2200000000000000
χ212-22-2002i−2i22022-2-2-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000002-2002i−2i01+i−1−i1−i−1+i1+i−1−i1−i−1+i000000
χ222-22-2002i−2i22022-2-2-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000002-2002i−2i0−1−i1+i−1+i1−i−1−i1+i−1+i1−i000000
χ232-22-2002i−2i22022-2-2-2-22i2i2i2i−2i−2i−2i−2i00000000000000000000000000-2200−2i2i01−i−1+i−1−i1+i−1+i1−i1+i−1−i000000
χ242-22-2002i−2i22022-2-2-2-22i2i2i2i−2i−2i−2i−2i00000000000000000000000000-2200−2i2i0−1+i1−i1+i−1−i1−i−1+i−1−i1+i000000
χ252-22-200−2i2i22022-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000002-200−2i2i01−i−1+i1+i−1−i1−i−1+i1+i−1−i000000
χ262-22-200−2i2i22022-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000002-200−2i2i0−1+i1−i−1−i1+i−1+i1−i−1−i1+i000000
χ272-22-200−2i2i22022-2-2-2-2−2i−2i−2i−2i2i2i2i2i00000000000000000000000000-22002i−2i01+i−1−i−1+i1−i−1−i1+i1−i−1+i000000
χ282-22-200−2i2i22022-2-2-2-2−2i−2i−2i−2i2i2i2i2i00000000000000000000000000-22002i−2i0−1−i1+i1−i−1+i1+i−1−i−1+i1−i000000
χ29444444441-241-211-2-211-2-211-2-24411-2-211-2-21111-2-2-2-21111-2-2-2-2000000000000000000000
χ30444444441-241-211-2-211-2-211-2-2-4-411-2-211-2-2-1-1-1-12222-1-1-1-12222000000000000000000000
χ3144444444-214-21-2-211-2-211-2-21144-2-211-2-211-2-2-2-21111-2-2-2-21111000000000000000000000
χ3244444444-214-21-2-211-2-211-2-211-4-4-2-211-2-2112222-1-1-1-12222-1-1-1-1000000000000000000000
χ33444444-4-41-2-41-211-2-2-1-122-1-1220011-2-2-1-12233-3-3000033-3-30000000000000000000000000
χ34444444-4-41-2-41-211-2-2-1-122-1-1220011-2-2-1-122-3-3330000-3-3330000000000000000000000000
χ35444444-4-4-21-4-21-2-21122-1-122-1-100-2-21122-1-1000033-3-3000033-3-3000000000000000000000
χ36444444-4-4-21-4-21-2-21122-1-122-1-100-2-21122-1-10000-3-3330000-3-333000000000000000000000
χ374444-4-4441-2-41-211-2-211-2-211-2-200-1-122-1-12233-3-30000-3-3330000000000000000000000000
χ384444-4-4441-2-41-211-2-211-2-211-2-200-1-122-1-122-3-333000033-3-30000000000000000000000000
χ394444-4-444-21-4-21-2-211-2-211-2-2110022-1-122-1-1000033-3-30000-3-333000000000000000000000
χ404444-4-444-21-4-21-2-211-2-211-2-2110022-1-122-1-10000-3-333000033-3-3000000000000000000000
χ414444-4-4-4-41-241-211-2-2-1-122-1-1224-4-1-12211-2-21111-2-2-2-2-1-1-1-12222000000000000000000000
χ424444-4-4-4-41-241-211-2-2-1-122-1-122-44-1-12211-2-2-1-1-1-122221111-2-2-2-2000000000000000000000
χ434444-4-4-4-4-214-21-2-21122-1-122-1-14-422-1-1-2-211-2-2-2-211112222-1-1-1-1000000000000000000000
χ444444-4-4-4-4-214-21-2-21122-1-122-1-1-4422-1-1-2-2112222-1-1-1-1-2-2-2-21111000000000000000000000
χ4544-4-44-4001-20-121-12-23-3003-300001-12-23-3003−33−30023−233−33−30023−23000000000000000000000
χ4644-4-44-4001-20-121-12-23-3003-300001-12-23-300−33−3300−2323−33−3300−2323000000000000000000000
χ4744-4-44-4001-20-121-12-2-3300-3300001-12-2-33003−3−3323−23003−3−3323−2300000000000000000000000
χ4844-4-44-4001-20-121-12-2-3300-3300001-12-2-3300−333−3−232300−333−3−232300000000000000000000000
χ4944-4-44-400440-4-44-4-4400000000004-4-4400000000000000000000000000000000000000000
χ5044-4-44-400-2102-1-22-11003-3003-300-22-11003-30023−233−3−330023−233−3−33000000000000000000000
χ5144-4-44-400-2102-1-22-11003-3003-300-22-11003-300−2323−333−300−2323−333−3000000000000000000000
χ5244-4-44-400-2102-1-22-1100-3300-3300-22-1100-3323−2300−33−3323−2300−33−33000000000000000000000
χ5344-4-44-400-2102-1-22-1100-3300-3300-22-1100-33−2323003−33−3−2323003−33−3000000000000000000000
χ5444-4-4-44001-20-121-12-23-3003-30000-11-22-33003−3−3323−2300−333−3−232300000000000000000000000
χ5544-4-4-44001-20-121-12-23-3003-30000-11-22-3300−333−3−2323003−3−3323−2300000000000000000000000
χ5644-4-4-44001-20-121-12-2-3300-330000-11-223-3003−33−30023−23−33−3300−2323000000000000000000000
χ5744-4-4-44001-20-121-12-2-3300-330000-11-223-300−33−3300−23233−33−30023−23000000000000000000000
χ5844-4-4-4400440-4-44-4-440000000000-444-400000000000000000000000000000000000000000
χ5944-4-4-4400-2102-1-22-11003-3003-3002-21-100-3323−2300−33−33−2323003−33−3000000000000000000000
χ6044-4-4-4400-2102-1-22-11003-3003-3002-21-100-33−2323003−33−323−2300−33−33000000000000000000000
χ6144-4-4-4400-2102-1-22-1100-3300-33002-21-1003-30023−233−3−3300−2323−333−3000000000000000000000
χ6244-4-4-4400-2102-1-22-1100-3300-33002-21-1003-300−2323−333−30023−233−3−33000000000000000000000
χ634-4-440000440-4-4-444-40000000000000000000000000000000000004i−4i00000000000000000
χ644-4-440000440-4-4-444-4000000000000000000000000000000000000−4i4i00000000000000000
χ658-88-8008i−8i2-402-4-2-2442i2i−4i−4i−2i−2i4i4i00000000000000000000000000000000000000000000000
χ668-88-8008i−8i-420-4244-2-2−4i−4i2i2i4i4i−2i−2i00000000000000000000000000000000000000000000000
χ678-88-800−8i8i2-402-4-2-244−2i−2i4i4i2i2i−4i−4i00000000000000000000000000000000000000000000000
χ688-88-800−8i8i-420-4244-2-24i4i−2i−2i−4i−4i2i2i00000000000000000000000000000000000000000000000
χ698-8-8800002-40-24-22-446i−6i00−6i6i0000000000000000000000000000000000000000000000000
χ708-8-8800002-40-24-22-44−6i6i006i−6i0000000000000000000000000000000000000000000000000
χ718-8-880000-4204-24-42-2006i−6i00−6i6i00000000000000000000000000000000000000000000000
χ728-8-880000-4204-24-42-200−6i6i006i−6i00000000000000000000000000000000000000000000000

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