Finite Group Databasebeta

← Group #11871306

Character table — Group #11871306

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122224444444444444444488888888121212121212121218181818181824242424242424242424242424242424242424243672727272
order122222443346666666666121212126612121212121222224444444444224466666666121212121212121248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111111-1-1-1-1
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
χ5111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-11-1111111-1-1-1-1-1-111-1-1111-1-1
χ6111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11-111111-1-111-1-1-1-1-1-1111-1-111
χ7111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-11-1-1-1-1-111-1-1111111-1-11-1-111
χ8111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11-11-1-1-1-1-1-1111111-1-111111-1-1
χ91111-1-11111-1111-1-1-1-11111111-1-111-1-1-1-111-1-111-1-111-1-1111-1-1111-1-111-1-111-1-1-1-111-11-11-1
χ101111-1-11111-1111-1-1-1-11111111-1-111-1-1-1-111-1-111-1-111-1-111-111-111-1-1-1-11111-1-111-1-1-1-11-11
χ111111-1-11111-1111-1-1-1-11111111-1-111-1-1-1-1-1-111-1-11111-1-1111-1-11-1-11111-1-1-1-111-1-111-1-11-11
χ121111-1-11111-1111-1-1-1-11111111-1-111-1-1-1-1-1-111-1-11111-1-111-111-1-1-111-1-111-1-11111-1-1-11-11-1
χ131111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111111-1-111-1-11111-1-111-1-1-1-1-11-1-11
χ141111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1
χ151111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1
χ161111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-11111-11-1-11
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
χ192222-2-22222-2222-2-2-2-22222222-2-222-2-2-2-200000000-2-222-2-20000000000000000000020000
χ202222-2-2-2-2222222-2-2-2-2222-2-2-2-2-2-2-2-222220000000022-2-2-2-20000000000000000000020000
χ212-22-2002i−2i22022-20000-2-2-22i2i−2i−2i002i−2i0000002-2002i−2i2i−2i002-20000002-20000002i−2i000000000
χ222-22-2002i−2i22022-20000-2-2-22i2i−2i−2i002i−2i000000-2200−2i2i2i−2i002-2000000-22000000−2i2i000000000
χ232-22-2002i−2i22022-20000-2-2-22i2i−2i−2i002i−2i00002-2002i−2i00−2i2i00-2200002-20000002i−2i00000000000
χ242-22-2002i−2i22022-20000-2-2-22i2i−2i−2i002i−2i0000-2200−2i2i00−2i2i00-220000-22000000−2i2i00000000000
χ252-22-200−2i2i22022-20000-2-2-2−2i−2i2i2i00−2i2i0000002-200−2i2i−2i2i002-20000002-2000000−2i2i000000000
χ262-22-200−2i2i22022-20000-2-2-2−2i−2i2i2i00−2i2i000000-22002i−2i−2i2i002-2000000-220000002i−2i000000000
χ272-22-200−2i2i22022-20000-2-2-2−2i−2i2i2i00−2i2i00002-200−2i2i002i−2i00-2200002-2000000−2i2i00000000000
χ282-22-200−2i2i22022-20000-2-2-2−2i−2i2i2i00−2i2i0000-22002i−2i002i−2i00-220000-220000002i−2i00000000000
χ29444444441-241-21-2-2-2-2-2-21111111-2-2-2-2110000000000000022220000-1-1-1-10000-1-1-1-100000
χ30444444441-241-21-2-2-2-2-2-21111111-2-2-2-21100000000000000-2-2-2-2000011110000111100000
χ3144444444-214-21-2111111-2-2-2-2-2-2-21111-2-2222222220000000000-1-1-1-10000-1-1-1-1000000000
χ3244444444-214-21-2111111-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-20000000000111100001111000000000
χ33444444-4-41-2-41-21-2-2-2-2-2-21-1-1-1-1112222-1-1000000000000002-22-20000-1-1110000-1-11100000
χ34444444-4-41-2-41-21-2-2-2-2-2-21-1-1-1-1112222-1-100000000000000-22-22000011-1-1000011-1-100000
χ35444444-4-4-21-4-21-2111111-22222-2-2-1-1-1-1222222-2-2-2-20000000000-1-1-1-100001111000000000
χ36444444-4-4-21-4-21-2111111-22222-2-2-1-1-1-122-2-2-2-22222000000000011110000-1-1-1-1000000000
χ374444-4-4441-2-41-212222-2-211111-1-1-2-222-1-1000000000000002-2-220000-1-111000011-1-100000
χ384444-4-4441-2-41-212222-2-211111-1-1-2-222-1-100000000000000-222-2000011-1-10000-1-11100000
χ394444-4-444-21-4-21-2-1-1-1-111-2-2-2-2-22211-1-12222-2-222-2-20000000000-1-1110000-1-111000000000
χ404444-4-444-21-4-21-2-1-1-1-111-2-2-2-2-22211-1-122-2-222-2-222000000000011-1-1000011-1-1000000000
χ414444-4-4-4-41-241-212222-2-21-1-1-1-1-1-122-2-2110000000000000022-2-20000-1-1-1-10000111100000
χ424444-4-4-4-41-241-212222-2-21-1-1-1-1-1-122-2-21100000000000000-2-222000011110000-1-1-1-100000
χ434444-4-4-4-4-214-21-2-1-1-1-111-2222222-1-111-2-222-2-2-2-2220000000000-1-111000011-1-1000000000
χ444444-4-4-4-4-214-21-2-1-1-1-111-2222222-1-111-2-2-2-22222-2-2000000000011-1-10000-1-111000000000
χ4544-4-44-4001-20-12-122-2-2-2213-33-31-100003-30000000000000000000000−i3i3−i3i30000−i3i3−i3i300000
χ4644-4-44-4001-20-12-122-2-2-2213-33-31-100003-30000000000000000000000i3−i3i3−i30000i3−i3i3−i300000
χ4744-4-44-4001-20-12-122-2-2-221-33-331-10000-330000000000000000000000−i3i3i3−i30000−i3i3i3−i300000
χ4844-4-44-4001-20-12-122-2-2-221-33-331-10000-330000000000000000000000i3−i3−i3i30000i3−i3−i3i300000
χ4944-4-44-400440-4-4-4-4-4444-4400004-4000000000000000000000000000000000000000000000
χ5044-4-4-44001-20-12-1-2-222-2213-33-3-110000-330000000000000000000000−i3i3i3−i30000i3−i3−i3i300000
χ5144-4-4-44001-20-12-1-2-222-2213-33-3-110000-330000000000000000000000i3−i3−i3i30000−i3i3i3−i300000
χ5244-4-4-44001-20-12-1-2-222-221-33-33-1100003-30000000000000000000000−i3i3−i3i30000i3−i3i3−i300000
χ5344-4-4-44001-20-12-1-2-222-221-33-33-1100003-30000000000000000000000i3−i3i3−i30000−i3i3−i3i300000
χ5444-4-4-4400440-4-4-444-4-44-440000-44000000000000000000000000000000000000000000000
χ554-44-4004i−4i-210-2123-33-3-1-12−2i−2i2i2i00i−i3i−3i002-22-22i−2i2i−2i0000000000-11-110000−ii−ii000000000
χ564-44-4004i−4i-210-2123-33-3-1-12−2i−2i2i2i00i−i3i−3i00-22-22−2i2i−2i2i00000000001-11-10000i−ii−i000000000
χ574-44-4004i−4i-210-212-33-33-1-12−2i−2i2i2i00i−i−3i3i002-2-222i−2i−2i2i0000000000-111-10000−iii−i000000000
χ584-44-4004i−4i-210-212-33-33-1-12−2i−2i2i2i00i−i−3i3i00-222-2−2i2i2i−2i00000000001-1-110000i−i−ii000000000
χ594-44-400−4i4i-210-2123-33-3-1-122i2i−2i−2i00−ii−3i3i002-22-2−2i2i−2i2i0000000000-11-110000i−ii−i000000000
χ604-44-400−4i4i-210-2123-33-3-1-122i2i−2i−2i00−ii−3i3i00-22-222i−2i2i−2i00000000001-11-10000−ii−ii000000000
χ614-44-400−4i4i-210-212-33-33-1-122i2i−2i−2i00−ii3i−3i002-2-22−2i2i2i−2i0000000000-111-10000i−i−ii000000000
χ624-44-400−4i4i-210-212-33-33-1-122i2i−2i−2i00−ii3i−3i00-222-22i−2i−2i2i00000000001-1-110000−iii−i000000000
χ634-4-440000440-4-440000-44-400000000000000000000004-4000000000000000000000000000
χ644-4-440000440-4-440000-44-40000000000000000000000-44000000000000000000000000000
χ6588-8-88-800-4204-24-2-2222-2-40000-44000000000000000000000000000000000000000000000
χ6688-8-8-8800-4204-2422-2-22-2-400004-4000000000000000000000000000000000000000000000
χ678-88-8008i−8i2-402-4-2000044-22i2i−2i−2i00−4i4i0000000000000000000000000000000000000000000
χ688-88-800−8i8i2-402-4-2000044-2−2i−2i2i2i004i−4i0000000000000000000000000000000000000000000
χ698-8-8800002-40-24200004-4-26i−6i−6i6i00000000000000000000000000000000000000000000000
χ708-8-8800002-40-24200004-4-2−6i6i6i−6i00000000000000000000000000000000000000000000000
χ718-8-880000-4204-2-46-6-66-224000000000000000000000000000000000000000000000000000
χ728-8-880000-4204-2-4-666-6-224000000000000000000000000000000000000000000000000000

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