Finite Group Databasebeta

← Group #11775281

Character table — Group #11775281

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122224444444444444444488888888121212121212121218181818181824242424242424242424242424242424242424243672727272
order122222443346666666666121212126612121212121244444444444444244466121212121212121212121212121248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-11-11111-1-1-1-11111-1-1-1-1111-1-1
χ6111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11-11-1-1-1-111111111-1-1-1-11-1-111
χ7111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-11-11111-1-1-1-1-1-1-1-111111-1-111
χ8111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11-11-1-1-1-11111-1-1-1-11111111-1-1
χ91111-1-11111-111-1-1-11111-11111-1-111-1-1-1-1ii−i−iii−i−i11-1-1-1-111-1-111-1-1-1-111ii−i−iii−i−i1i−ii−i
χ101111-1-11111-111-1-1-11111-11111-1-111-1-1-1-1ii−i−iii−i−i11-1-1-1-1-1-111-1-11111-1-1ii−i−iii−i−i1−ii−ii
χ111111-1-11111-111-1-1-11111-11111-1-111-1-1-1-1−i−iii−i−iii11-1-1-1-111-1-111-1-1-1-111−i−iii−i−iii1−ii−ii
χ121111-1-11111-111-1-1-11111-11111-1-111-1-1-1-1−i−iii−i−iii11-1-1-1-1-1-111-1-11111-1-1−i−iii−i−iii1i−ii−i
χ131111-1-1-1-111111-1-1-11111-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii-1-111-1-11-1-1111-1-111-1-1ii−i−i−i−iii1i−i−ii
χ141111-1-1-1-111111-1-1-11111-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii-1-111-1-1-111-1-1-111-1-111ii−i−i−i−iii1−iii−i
χ151111-1-1-1-111111-1-1-11111-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i-1-111-1-11-1-1111-1-111-1-1−i−iiiii−i−i1−iii−i
χ161111-1-1-1-111111-1-1-11111-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i-1-111-1-1-111-1-1-111-1-111−i−iiiii−i−i1i−i−ii
χ1722222222222222222222222222222222200000000-2-2-2-2-2-200000000000000000000-20000
χ18222222-2-222-22222222222-2-2-2-222-2-2-2-2-2-2000000002222-2-200000000000000000000-20000
χ192222-2-22222-222-2-2-22222-22222-2-222-2-2-2-200000000-2-2222200000000000000000000-20000
χ202222-2-2-2-222222-2-2-22222-2-2-2-2-2-2-2-2-222220000000022-2-22200000000000000000000-20000
χ2122-2-2002-2220-2-20002-2-22022-2-2002-200001+i−1−i1−i−1+i1+i−1−i1−i−1+i002i−2i2i−2i0000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i00000
χ2222-2-2002-2220-2-20002-2-22022-2-2002-200001−i−1+i1+i−1−i1−i−1+i1+i−1−i00−2i2i−2i2i0000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i00000
χ2322-2-2002-2220-2-20002-2-22022-2-2002-20000−1+i1−i−1−i1+i−1+i1−i−1−i1+i00−2i2i−2i2i000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i00000
χ2422-2-2002-2220-2-20002-2-22022-2-2002-20000−1−i1+i−1+i1−i−1−i1+i−1+i1−i002i−2i2i−2i000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i00000
χ2522-2-200-22220-2-20002-2-220-2-22200-2200001+i−1−i1−i−1+i−1−i1+i−1+i1−i00−2i2i2i−2i0000000000001+i−1−i1−i−1+i−1−i1+i−1+i1−i00000
χ2622-2-200-22220-2-20002-2-220-2-22200-2200001−i−1+i1+i−1−i−1+i1−i−1−i1+i002i−2i−2i2i0000000000001−i−1+i1+i−1−i−1+i1−i−1−i1+i00000
χ2722-2-200-22220-2-20002-2-220-2-22200-220000−1+i1−i−1−i1+i1−i−1+i1+i−1−i002i−2i−2i2i000000000000−1+i1−i−1−i1+i1−i−1+i1+i−1−i00000
χ2822-2-200-22220-2-20002-2-220-2-22200-220000−1−i1+i−1+i1−i1+i−1−i1−i−1+i00−2i2i2i−2i000000000000−1−i1+i−1+i1−i1+i−1−i1−i−1+i00000
χ29444444441-24111111-2-2-21-2-2-2-2-2-21111-2-222222222000000000000000000-1-1-1-1-1-1-1-100000
χ30444444441-24111111-2-2-21-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-20000000000000000001111111100000
χ3144444444-214-2-2-2-2-2-2111-2111111-2-2-2-211000000000000002222-1-1-1-1-1-1-1-10000000000000
χ3244444444-214-2-2-2-2-2-2111-2111111-2-2-2-21100000000000000-2-2-2-2111111110000000000000
χ33444444-4-41-2-4111111-2-2-212222-2-2-1-1-1-1222222-2-2-2-2000000000000000000-1-1-1-1111100000
χ34444444-4-41-2-4111111-2-2-212222-2-2-1-1-1-122-2-2-2-222220000000000000000001111-1-1-1-100000
χ35444444-4-4-21-4-2-2-2-2-2-2111-2-1-1-1-1112222-1-1000000000000002-22-2-1-1-1-111110000000000000
χ36444444-4-4-21-4-2-2-2-2-2-2111-2-1-1-1-1112222-1-100000000000000-22-221111-1-1-1-10000000000000
χ374444-4-4441-2-411-1-1-11-2-2-2-1-2-2-2-22211-1-1222i2i−2i−2i2i2i−2i−2i000000000000000000−i−iii−i−iii00000
χ384444-4-4441-2-411-1-1-11-2-2-2-1-2-2-2-22211-1-122−2i−2i2i2i−2i−2i2i2i000000000000000000ii−i−iii−i−i00000
χ394444-4-444-21-4-2-2222-211121111-1-1-2-222-1-10000000000000022-2-2-1-11111-1-10000000000000
χ404444-4-444-21-4-2-2222-211121111-1-1-2-222-1-100000000000000-2-22211-1-1-1-1110000000000000
χ414444-4-4-4-41-2411-1-1-11-2-2-2-1222222-1-111-2-22i2i−2i−2i−2i−2i2i2i000000000000000000−i−iiiii−i−i00000
χ424444-4-4-4-41-2411-1-1-11-2-2-2-1222222-1-111-2-2−2i−2i2i2i2i2i−2i−2i000000000000000000ii−i−i−i−iii00000
χ434444-4-4-4-4-214-2-2222-21112-1-1-1-1-1-122-2-211000000000000002-2-22-1-111-1-1110000000000000
χ444444-4-4-4-4-214-2-2222-21112-1-1-1-1-1-122-2-21100000000000000-222-211-1-111-1-10000000000000
χ4544-4-4004-41-20-1-133-3122-2-3-2-222001-13-3002-22-22-22-2000000000000000000-11-11-11-1100000
χ4644-4-4004-41-20-1-133-3122-2-3-2-222001-13-300-22-22-22-220000000000000000001-11-11-11-100000
χ4744-4-4004-41-20-1-1-3-33122-23-2-222001-1-33002i−2i−2i2i2i−2i−2i2i000000000000000000−iii−i−iii−i00000
χ4844-4-4004-41-20-1-1-3-33122-23-2-222001-1-3300−2i2i2i−2i−2i2i2i−2i000000000000000000i−i−iii−i−ii00000
χ4944-4-400-441-20-1-133-3122-2-322-2-200-11-33002-22-2-22-22000000000000000000-11-111-11-100000
χ5044-4-400-441-20-1-133-3122-2-322-2-200-11-3300-22-222-22-20000000000000000001-11-1-11-1100000
χ5144-4-400-441-20-1-1-3-33122-2322-2-200-113-3002i−2i−2i2i−2i2i2i−2i000000000000000000−iii−ii−i−ii00000
χ5244-4-400-441-20-1-1-3-33122-2322-2-200-113-300−2i2i2i−2i2i−2i−2i2i000000000000000000i−i−ii−iii−i00000
χ534-44-400004404-4000-44-4-40000000000000000000004i−4i00000000000000000000000000000
χ544-44-400004404-4000-44-4-4000000000000000000000−4i4i00000000000000000000000000000
χ554-4-444-400440-444-44-4-44-4-400004-4000000000000000000000000000000000000000000000
χ564-4-444-400-2102-2-22-22-11-123i−3i3i−3i1-100003i−3i000000000000000000−i3i3−i3i33−33−30000000000000
χ574-4-444-400-2102-2-22-22-11-123i−3i3i−3i1-100003i−3i000000000000000000i3−i3i3−i3−33−330000000000000
χ584-4-444-400-2102-2-22-22-11-12−3i3i−3i3i1-10000−3i3i000000000000000000−i3i3−i3i3−33−330000000000000
χ594-4-444-400-2102-2-22-22-11-12−3i3i−3i3i1-10000−3i3i000000000000000000i3−i3i3−i33−33−30000000000000
χ604-4-44-4400440-44-44-4-4-44-440000-44000000000000000000000000000000000000000000000
χ614-4-44-4400-2102-22-222-11-1-23i−3i3i−3i-110000−3i3i000000000000000000−i3i3i3−i3−333−30000000000000
χ624-4-44-4400-2102-22-222-11-1-23i−3i3i−3i-110000−3i3i000000000000000000i3−i3−i3i33−3−330000000000000
χ634-4-44-4400-2102-22-222-11-1-2−3i3i−3i3i-1100003i−3i000000000000000000−i3i3i3−i33−3−330000000000000
χ644-4-44-4400-2102-22-222-11-1-2−3i3i−3i3i-1100003i−3i000000000000000000i3−i3−i3i3−333−30000000000000
χ6588-8-8008-8-42044000-4-2-22022-2-200-440000000000000000000000000000000000000000000
χ6688-8-800-88-42044000-4-2-220-2-222004-40000000000000000000000000000000000000000000
χ678-88-800002-402-26-6-6-2-4446000000000000000000000000000000000000000000000000000
χ688-88-800002-402-2-666-2-444-6000000000000000000000000000000000000000000000000000
χ698-88-80000-420-4400042-2-206i−6i−6i6i00000000000000000000000000000000000000000000000
χ708-88-80000-420-4400042-2-20−6i6i6i−6i00000000000000000000000000000000000000000000000
χ718-8-888-8002-40-222-22-24-44-20000-44000000000000000000000000000000000000000000000
χ728-8-88-88002-40-22-22-2-24-44200004-4000000000000000000000000000000000000000000000

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