Finite Group Databasebeta

← Group #11864169

Character table — Group #11864169

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122224444444444444444488888888121212121212121218181818181824242424242424242424242424242424242424243672727272
order122222443346666666666121212126612121212121222224444224444224466666666121212121212121228888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-11-1-1-1-1
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
χ5111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-1-111-1-1
χ6111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-1-111
χ7111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-1-111
χ8111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-11111-1-111-111-1-1
χ91111-1-11111-1111-1-1-1-11111111-1-111-1-1-1-111-1-1-1-111-1-1-1-1111-11-111-1-111-1-111-1-1-1-11111-11-1
χ101111-1-11111-1111-1-1-1-11111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-11-1111-1-1-1-111-1-111-1-1111-11-11
χ111111-1-11111-1111-1-1-1-11111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111-11-1-1-11111-1-111-1-111-1-11-11-11
χ121111-1-11111-1111-1-1-1-11111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-11-11-1-111-1-111-1-11111-1-111-11-1
χ131111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111-1-11111111-1-1-1-111-1-1-1-1-11-1-11
χ141111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-111-11111-1-11111-1-1-1-1-1-1-1-111-1
χ151111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111-1-11-1-1-1-111-1-1-1-1111111-1-111-1
χ161111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-111-1-1-1-1-1-1-11111-1-11111-11-1-11
χ1722222222222222222222222222222222200000000-2-2-2-2-2-200000000000000000000-20000
χ18222222-2-222-22222222222-2-2-2-222-2-2-2-2-2-20000000022-2-2-2-20000000000000000000020000
χ192222-2-22222-2222-2-2-2-22222222-2-222-2-2-2-2000000002222-2-200000000000000000000-20000
χ202222-2-2-2-2222222-2-2-2-2222-2-2-2-2-2-2-2-2222200000000-2-222-2-20000000000000000000020000
χ212-2-222-200220-2-2-222-2-22-2200002-2000000002-2002-2002-22-20000002-200000000002-200000
χ222-2-222-200220-2-2-222-2-22-2200002-200000000-2200-22002-22-2000000-220000000000-2200000
χ232-2-222-200220-2-2-222-2-22-2200002-20000002-2002-20000-22-2200002-200000000002-20000000
χ242-2-222-200220-2-2-222-2-22-2200002-2000000-2200-220000-22-220000-220000000000-220000000
χ252-2-22-2200220-2-2-2-2-2222-220000-22000000002-200-2200-222-20000002-20000000000-2200000
χ262-2-22-2200220-2-2-2-2-2222-220000-2200000000-22002-200-222-2000000-2200000000002-200000
χ272-2-22-2200220-2-2-2-2-2222-220000-220000002-200-2200002-2-2200002-20000000000-220000000
χ282-2-22-2200220-2-2-2-2-2222-220000-22000000-22002-200002-2-220000-2200000000002-20000000
χ29444444441-2411-2-2-2-2-2-2-21111111-2-2-2-211222222220000000000-1-1-1-100000000-1-1-1-100000
χ30444444441-2411-2-2-2-2-2-2-21111111-2-2-2-211-2-2-2-2-2-2-2-20000000000111100000000111100000
χ3144444444-214-2-21111111-2-2-2-2-2-2-21111-2-20000000000000022220000-1-1-1-1-1-1-1-1000000000
χ3244444444-214-2-21111111-2-2-2-2-2-2-21111-2-200000000000000-2-2-2-2000011111111000000000
χ33444444-4-41-2-411-2-2-2-2-2-2-21-1-1-1-1112222-1-122-2-222-2-20000000000-1-11100000000-1-11100000
χ34444444-4-41-2-411-2-2-2-2-2-2-21-1-1-1-1112222-1-1-2-222-2-222000000000011-1-10000000011-1-100000
χ35444444-4-4-21-4-2-21111111-22222-2-2-1-1-1-1220000000000000022-2-20000-1-1-1-11111000000000
χ36444444-4-4-21-4-2-21111111-22222-2-2-1-1-1-12200000000000000-2-22200001111-1-1-1-1000000000
χ374444-4-4441-2-411-22222-2-211111-1-1-2-222-1-122-2-2-2-2220000000000-1-1110000000011-1-100000
χ384444-4-4441-2-411-22222-2-211111-1-1-2-222-1-1-2-22222-2-2000000000011-1-100000000-1-11100000
χ394444-4-444-21-4-2-21-1-1-1-111-2-2-2-2-22211-1-122000000000000002-22-20000-1-111-1-111000000000
χ404444-4-444-21-4-2-21-1-1-1-111-2-2-2-2-22211-1-12200000000000000-22-22000011-1-111-1-1000000000
χ414444-4-4-4-41-2411-22222-2-21-1-1-1-1-1-122-2-2112222-2-2-2-20000000000-1-1-1-100000000111100000
χ424444-4-4-4-41-2411-22222-2-21-1-1-1-1-1-122-2-211-2-2-2-222220000000000111100000000-1-1-1-100000
χ434444-4-4-4-4-214-2-21-1-1-1-111-2222222-1-111-2-2000000000000002-2-220000-1-11111-1-1000000000
χ444444-4-4-4-4-214-2-21-1-1-1-111-2222222-1-111-2-200000000000000-222-2000011-1-1-1-111000000000
χ4544-4-4004i−4i4404-440000-4-4-44i4i−4i−4i004i−4i0000000000000000000000000000000000000000000
χ4644-4-4004i−4i-210-2213-33-3-1-12−2i−2i2i2i00i−i3i−3i000000000000000000000000−i3i3−i3i33−33−3000000000
χ4744-4-4004i−4i-210-2213-33-3-1-12−2i−2i2i2i00i−i3i−3i000000000000000000000000i3−i3i3−i3−33−33000000000
χ4844-4-4004i−4i-210-221-33-33-1-12−2i−2i2i2i00i−i−3i3i000000000000000000000000−i3i3i3−i33−3−33000000000
χ4944-4-4004i−4i-210-221-33-33-1-12−2i−2i2i2i00i−i−3i3i000000000000000000000000i3−i3−i3i3−333−3000000000
χ5044-4-400−4i4i4404-440000-4-4-4−4i−4i4i4i00−4i4i0000000000000000000000000000000000000000000
χ5144-4-400−4i4i-210-2213-33-3-1-122i2i−2i−2i00−ii−3i3i000000000000000000000000−i3i3−i3i3−33−33000000000
χ5244-4-400−4i4i-210-2213-33-3-1-122i2i−2i−2i00−ii−3i3i000000000000000000000000i3−i3i3−i33−33−3000000000
χ5344-4-400−4i4i-210-221-33-33-1-122i2i−2i−2i00−ii3i−3i000000000000000000000000−i3i3i3−i3−333−3000000000
χ5444-4-400−4i4i-210-221-33-33-1-122i2i−2i−2i00−ii3i−3i000000000000000000000000i3−i3−i3i33−3−33000000000
χ554-44-40000440-44-40000-44-4000000000000000000004-400000000000000000000000000000
χ564-44-40000440-44-40000-44-400000000000000000000-4400000000000000000000000000000
χ574-4-444-4001-20-1-12-2-222-2213-33-31-100003-32-22-22-22-20000000000-11-1100000000-11-1100000
χ584-4-444-4001-20-1-12-2-222-2213-33-31-100003-3-22-22-22-2200000000001-11-1000000001-11-100000
χ594-4-444-4001-20-1-12-2-222-221-33-331-10000-332-2-222-2-220000000000-111-100000000-111-100000
χ604-4-444-4001-20-1-12-2-222-221-33-331-10000-33-222-2-222-200000000001-1-11000000001-1-1100000
χ614-4-44-44001-20-1-1222-2-2-2213-33-3-110000-332-2-22-222-20000000000-111-1000000001-1-1100000
χ624-4-44-44001-20-1-1222-2-2-2213-33-3-110000-33-222-22-2-2200000000001-1-1100000000-111-100000
χ634-4-44-44001-20-1-1222-2-2-221-33-33-1100003-32-22-2-22-220000000000-11-11000000001-11-100000
χ644-4-44-44001-20-1-1222-2-2-221-33-33-1100003-3-22-222-22-200000000001-11-100000000-11-1100000
χ6588-8-8008i−8i2-402-2-4000044-22i2i−2i−2i00−4i4i0000000000000000000000000000000000000000000
χ6688-8-800−8i8i2-402-2-4000044-2−2i−2i2i2i004i−4i0000000000000000000000000000000000000000000
χ678-88-800002-40-22400004-4-26i−6i−6i6i00000000000000000000000000000000000000000000000
χ688-88-800002-40-22400004-4-2−6i6i6i−6i00000000000000000000000000000000000000000000000
χ698-88-80000-4204-4-26-6-66-224000000000000000000000000000000000000000000000000000
χ708-88-80000-4204-4-2-666-6-224000000000000000000000000000000000000000000000000000
χ718-8-888-800-42044-222-2-22-2-40000-44000000000000000000000000000000000000000000000
χ728-8-88-8800-42044-2-2-2222-2-400004-4000000000000000000000000000000000000000000000

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