Finite Group Databasebeta

← Group #11866152

Character table — Group #11866152

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122224444444444444444488888888121212121212121218181818181824242424242424242424242424242424242424243672727272
order12222244334666666666612121212661212121212122244444444444422446666661212121212121212121248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-11-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111111-1-1-1-1
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
χ5111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-111111111-1-1-1-1-1-1-1-1-111-1-1
χ6111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-1-111
χ7111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-111
χ8111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-111-1-1
χ91111-1-11111-11-1-1-1-1111111111-1-111-1-1-1-11111-1-1-1-1-1-11-1-111-11-11111-1-1-1-1-1-11111-1-111-11-1
χ101111-1-11111-11-1-1-1-1111111111-1-111-1-1-1-11111-1-1-1-1-1-11-1-11-11-1111-1-111-1-1-1-111-1-1111-11-11
χ111111-1-11111-11-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-11111-1-11-1-111-11-1-1-111-1-11111-1-111-1-11-11-11
χ121111-1-11111-11-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-11111-1-11-1-11-11-11-1-1-1-1111111-1-1-1-11111-11-1
χ131111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-111-1-1111-1-111-1-111111-1-1-1-111-1-1-1-111-11-1-11
χ141111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-111-1-1111-1-11-111-111-1-111-1-111-1-111-1-1-1-111-1
χ151111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111-1-111111-1-111-1-11-1-111-1-111-1-111-1-111-1-111-1
χ161111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111-1-111111-1-11-111-1-1-1-1-11111-1-11111-1-1-11-1-11
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
χ192222-2-22222-22-2-2-2-2222222222-2-222-2-2-2-20000000022-222-200000000000000000000-20000
χ202222-2-2-2-22222-2-2-2-222222-2-2-2-2-2-2-2-2222200000000-2-2-222-20000000000000000000020000
χ212-2-222-200220-222-2-2-22-2-2200002-2000000002i−2i2i−2i000022-2-20000000000002i−2i2i−2i000000000
χ222-2-222-200220-222-2-2-22-2-2200002-200000000−2i2i−2i2i000022-2-2000000000000−2i2i−2i2i000000000
χ232-2-222-200220-222-2-2-22-2-2200002-20000002-200002-200-2-22200002-200002-20000000000000
χ242-2-222-200220-222-2-2-22-2-2200002-2000000-220000-2200-2-2220000-220000-220000000000000
χ252-2-22-2200220-2-2-222-22-2-220000-22000000002i−2i−2i2i00002-22-2000000000000−2i2i2i−2i000000000
χ262-2-22-2200220-2-2-222-22-2-220000-2200000000−2i2i2i−2i00002-22-20000000000002i−2i−2i2i000000000
χ272-2-22-2200220-2-2-222-22-2-220000-220000002-20000-2200-22-2200002-20000-220000000000000
χ282-2-22-2200220-2-2-222-22-2-220000-22000000-2200002-200-22-220000-2200002-20000000000000
χ29444444441-24-2-2-2-2-2-2111-2111111-2-2-2-211222222220000000000-1-10000-1-1-1-1-1-1000000000
χ30444444441-24-2-2-2-2-2-2111-2111111-2-2-2-211-2-2-2-2-2-2-2-20000000000110000111111000000000
χ3144444444-214111111-2-2-21-2-2-2-2-2-21111-2-200000000000000222200-1-1-1-1000000-1-1-1-100000
χ3244444444-214111111-2-2-21-2-2-2-2-2-21111-2-200000000000000-2-2-2-2001111000000111100000
χ33444444-4-41-2-4-2-2-2-2-2-2111-2-1-1-1-1112222-1-122-2-2-2-2220000000000-1-10000-1-11111000000000
χ34444444-4-41-2-4-2-2-2-2-2-2111-2-1-1-1-1112222-1-1-2-22222-2-2000000000011000011-1-1-1-1000000000
χ35444444-4-4-21-4111111-2-2-212222-2-2-1-1-1-1220000000000000022-2-200-1-1-1-1000000111100000
χ36444444-4-4-21-4111111-2-2-212222-2-2-1-1-1-12200000000000000-2-222001111000000-1-1-1-100000
χ374444-4-4441-2-4-22222-2111-21111-1-1-2-222-1-12222-2-2-2-20000000000-1-100001111-1-1000000000
χ384444-4-4441-2-4-22222-2111-21111-1-1-2-222-1-1-2-2-2-222220000000000110000-1-1-1-111000000000
χ394444-4-444-21-41-1-1-1-11-2-2-21-2-2-2-22211-1-122000000000000002-22-200-1-111000000-1-11100000
χ404444-4-444-21-41-1-1-1-11-2-2-21-2-2-2-22211-1-12200000000000000-22-220011-1-100000011-1-100000
χ414444-4-4-4-41-24-22222-2111-2-1-1-1-1-1-122-2-21122-2-222-2-20000000000-1-1000011-1-111000000000
χ424444-4-4-4-41-24-22222-2111-2-1-1-1-1-1-122-2-211-2-222-2-2220000000000110000-1-111-1-1000000000
χ434444-4-4-4-4-2141-1-1-1-11-2-2-21222222-1-111-2-2000000000000002-2-2200-1-11100000011-1-100000
χ444444-4-4-4-4-2141-1-1-1-11-2-2-21222222-1-111-2-200000000000000-222-20011-1-1000000-1-11100000
χ4544-4-40000440-400004-4-44-4000000000000000000004i−4i00000000000000000000000000000
χ4644-4-40000440-400004-4-44-400000000000000000000−4i4i00000000000000000000000000000
χ474-44-4004i−4i44040000-4-44-4-44i4i−4i−4i004i−4i0000000000000000000000000000000000000000000
χ484-44-4004i−4i-21013-33-3-12-22-1−2i−2i2i2i00i−i3i−3i0000000000000000000000−i3i3−i3i30000003−33−300000
χ494-44-4004i−4i-21013-33-3-12-22-1−2i−2i2i2i00i−i3i−3i0000000000000000000000i3−i3i3−i3000000−33−3300000
χ504-44-4004i−4i-2101-33-33-12-22-1−2i−2i2i2i00i−i−3i3i0000000000000000000000−i3i3i3−i30000003−3−3300000
χ514-44-4004i−4i-2101-33-33-12-22-1−2i−2i2i2i00i−i−3i3i0000000000000000000000i3−i3−i3i3000000−333−300000
χ524-44-400−4i4i44040000-4-44-4-4−4i−4i4i4i00−4i4i0000000000000000000000000000000000000000000
χ534-44-400−4i4i-21013-33-3-12-22-12i2i−2i−2i00−ii−3i3i0000000000000000000000−i3i3−i3i3000000−33−3300000
χ544-44-400−4i4i-21013-33-3-12-22-12i2i−2i−2i00−ii−3i3i0000000000000000000000i3−i3i3−i30000003−33−300000
χ554-44-400−4i4i-2101-33-33-12-22-12i2i−2i−2i00−ii3i−3i0000000000000000000000−i3i3i3−i3000000−333−300000
χ564-44-400−4i4i-2101-33-33-12-22-12i2i−2i−2i00−ii3i−3i0000000000000000000000i3−i3−i3i30000003−3−3300000
χ574-4-444-4001-202-2-22221-1-1-23i−3i3i−3i1-100003i−3i2-22i−2i2i−2i2-20000000000-110000-11−ii−ii000000000
χ584-4-444-4001-202-2-22221-1-1-23i−3i3i−3i1-100003i−3i-22−2i2i−2i2i-2200000000001-100001-1i−ii−i000000000
χ594-4-444-4001-202-2-22221-1-1-2−3i3i−3i3i1-10000−3i3i2-2−2i2i−2i2i2-20000000000-110000-11i−ii−i000000000
χ604-4-444-4001-202-2-22221-1-1-2−3i3i−3i3i1-10000−3i3i-222i−2i2i−2i-2200000000001-100001-1−ii−ii000000000
χ614-4-44-44001-20222-2-221-1-1-23i−3i3i−3i-110000−3i3i2-22i−2i−2i2i-220000000000-1100001-1i−i−ii000000000
χ624-4-44-44001-20222-2-221-1-1-23i−3i3i−3i-110000−3i3i-22−2i2i2i−2i2-200000000001-10000-11−iii−i000000000
χ634-4-44-44001-20222-2-221-1-1-2−3i3i−3i3i-1100003i−3i2-2−2i2i2i−2i-220000000000-1100001-1−iii−i000000000
χ644-4-44-44001-20222-2-221-1-1-2−3i3i−3i3i-1100003i−3i-222i−2i−2i2i2-200000000001-10000-11i−i−ii000000000
χ6588-8-800002-4040000-4-2-2246-6-6600000000000000000000000000000000000000000000000
χ6688-8-800002-4040000-4-2-224-666-600000000000000000000000000000000000000000000000
χ6788-8-80000-420-26-6-66244-4-2000000000000000000000000000000000000000000000000000
χ6888-8-80000-420-2-666-6244-4-2000000000000000000000000000000000000000000000000000
χ698-88-8008i−8i2-40-400004-22-242i2i−2i−2i00−4i4i0000000000000000000000000000000000000000000
χ708-88-800−8i8i2-40-400004-22-24−2i−2i2i2i004i−4i0000000000000000000000000000000000000000000
χ718-8-888-800-420-222-2-2-2-44420000-44000000000000000000000000000000000000000000000
χ728-8-88-8800-420-2-2-222-2-444200004-4000000000000000000000000000000000000000000000

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