Finite Group Databasebeta

← Group #11868850

Character table — Group #11868850

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122224444444444444444488888888121212121212121218181818181824242424242424242424242424242424242424243672727272
order122222443346666666666121212126612121212121222444444444444444466121212121212121212121212121248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1
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
χ5111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1111-1-1111-1-11111-1-1-1-11111-1-1-1-1-111-1-1
χ6111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-11111-1-1-111
χ7111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-111
χ8111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111-1-11-1-111-1-1-1-11111-1-1-1-11111-111-1-1
χ91111-1-11111-11-1-1-1-1111111111-1-111-1-1-1-11111-1-1-1-11-1-1-1-111-11-111-1-1-1-11111-1-111-1-111-11-1
χ101111-1-11111-11-1-1-1-1111111111-1-111-1-1-1-11111-1-1-1-11-1-1-1-11-11-1111-1-1-1-111-1-111-1-1111-11-11
χ111111-1-11111-11-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-111111-1-1-1-111-11-1-1-11111-1-111-1-111-1-11-11-11
χ121111-1-11111-11-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-111111-1-1-1-11-11-11-1-11111-1-1-1-111-1-11111-11-1
χ131111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11111-1-1111-1-111-1-111-1-1-1-111-11-1-11
χ141111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1111-111-111-1-111-1-1-1-11111-1-1-1-111-1
χ151111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-11-1-11111-1-11-1-111-1-11111-1-1-1-111-1-111-1
χ161111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-11-1-1111-111-1-1-111-1-111-1-11111-1-1-11-1-11
χ1722222222222222222222222222222222200000000-2-2-2-2-2-200000000000000000000-20000
χ18222222-2-222-22222222222-2-2-2-222-2-2-2-2-2-200000000-2-2-222-20000000000000000000020000
χ192222-2-22222-22-2-2-2-2222222222-2-222-2-2-2-200000000-22222-200000000000000000000-20000
χ202222-2-2-2-22222-2-2-2-222222-2-2-2-2-2-2-2-2222200000000-222-2-2-20000000000000000000020000
χ212-22-22-200220222-2-2-22-2-2-200002-2000000002i−2i002i−2i-22-2002000000002i−2i2i−2i0000000000000
χ222-22-22-200220222-2-2-22-2-2-200002-200000000−2i2i00−2i2i-22-200200000000−2i2i−2i2i0000000000000
χ232-22-22-200220222-2-2-22-2-2-200002-20000002-2002-2002-2200-200002-22-200000000000000000
χ242-22-22-200220222-2-2-22-2-2-200002-2000000-2200-22002-2200-20000-22-2200000000000000000
χ252-22-2-22002202-2-222-22-2-2-20000-22000000002i−2i00−2i2i-2-2200200000000−2i2i2i−2i0000000000000
χ262-22-2-22002202-2-222-22-2-2-20000-2200000000−2i2i002i−2i-2-22002000000002i−2i−2i2i0000000000000
χ272-22-2-22002202-2-222-22-2-2-20000-220000002-200-220022-200-200002-2-2200000000000000000
χ282-22-2-22002202-2-222-22-2-2-20000-22000000-22002-20022-200-20000-222-200000000000000000
χ29444444441-24111111-2-2-21-2-2-2-2-2-21111-2-200000000000000222200000000-1-1-1-1-1-1-1-100000
χ30444444441-24111111-2-2-21-2-2-2-2-2-21111-2-200000000000000-2-2-2-2000000001111111100000
χ3144444444-214-2-2-2-2-2-2111-2111111-2-2-2-211222222220000000000-1-1-1-1-1-1-1-10000000000000
χ3244444444-214-2-2-2-2-2-2111-2111111-2-2-2-211-2-2-2-2-2-2-2-20000000000111111110000000000000
χ33444444-4-41-2-4111111-2-2-212222-2-2-1-1-1-1220000000000000022-2-200000000-1-1-1-1111100000
χ34444444-4-41-2-4111111-2-2-212222-2-2-1-1-1-12200000000000000-2-222000000001111-1-1-1-100000
χ35444444-4-4-21-4-2-2-2-2-2-2111-2-1-1-1-1112222-1-122-2-222-2-20000000000-1-1-1-111110000000000000
χ36444444-4-4-21-4-2-2-2-2-2-2111-2-1-1-1-1112222-1-1-2-222-2-22200000000001111-1-1-1-10000000000000
χ374444-4-4441-2-41-1-1-1-11-2-2-21-2-2-2-22211-1-122000000000000002-22-200000000-1-111-1-11100000
χ384444-4-4441-2-41-1-1-1-11-2-2-21-2-2-2-22211-1-12200000000000000-22-220000000011-1-111-1-100000
χ394444-4-444-21-4-22222-2111-21111-1-1-2-222-1-12222-2-2-2-20000000000-1-11111-1-10000000000000
χ404444-4-444-21-4-22222-2111-21111-1-1-2-222-1-1-2-2-2-22222000000000011-1-1-1-1110000000000000
χ414444-4-4-4-41-241-1-1-1-11-2-2-21222222-1-111-2-2000000000000002-2-2200000000-1-11111-1-100000
χ424444-4-4-4-41-241-1-1-1-11-2-2-21222222-1-111-2-200000000000000-222-20000000011-1-1-1-11100000
χ434444-4-4-4-4-214-22222-2111-2-1-1-1-1-1-122-2-21122-2-2-2-2220000000000-1-111-1-1110000000000000
χ444444-4-4-4-4-214-22222-2111-2-1-1-1-1-1-122-2-211-2-22222-2-2000000000011-1-111-1-10000000000000
χ4544-4-4004-41-20-13-33-3122-2-122-2-2001-13-300000000000000000000000000003−33−33−33−300000
χ4644-4-4004-41-20-13-33-3122-2-122-2-2001-13-30000000000000000000000000000−33−33−33−3300000
χ4744-4-4004-41-20-1-33-33122-2-122-2-2001-1-3300000000000000000000000000003−3−333−3−3300000
χ4844-4-4004-41-20-1-33-33122-2-122-2-2001-1-330000000000000000000000000000−333−3−333−300000
χ4944-4-4004-4440-400004-4-44-4-4-444004-40000000000000000000000000000000000000000000
χ5044-4-400-441-20-13-33-3122-2-1-2-22200-11-3300000000000000000000000000003−33−3−33−3300000
χ5144-4-400-441-20-13-33-3122-2-1-2-22200-11-330000000000000000000000000000−33−333−33−300000
χ5244-4-400-441-20-1-33-33122-2-1-2-22200-113-300000000000000000000000000003−3−33−333−300000
χ5344-4-400-441-20-1-33-33122-2-1-2-22200-113-30000000000000000000000000000−333−33−3−3300000
χ5444-4-400-44440-400004-4-44-444-4-400-440000000000000000000000000000000000000000000
χ554-44-44-400-210-2-2-22221-1-123i−3i3i−3i1-100003i−3i2-22i−2i2-22i−2i0000000000-11-11−ii−ii0000000000000
χ564-44-44-400-210-2-2-22221-1-123i−3i3i−3i1-100003i−3i-22−2i2i-22−2i2i00000000001-11-1i−ii−i0000000000000
χ574-44-44-400-210-2-2-22221-1-12−3i3i−3i3i1-10000−3i3i2-2−2i2i2-2−2i2i0000000000-11-11i−ii−i0000000000000
χ584-44-44-400-210-2-2-22221-1-12−3i3i−3i3i1-10000−3i3i-222i−2i-222i−2i00000000001-11-1−ii−ii0000000000000
χ594-44-4-4400-210-222-2-221-1-123i−3i3i−3i-110000−3i3i2-22i−2i-22−2i2i0000000000-111-1i−i−ii0000000000000
χ604-44-4-4400-210-222-2-221-1-123i−3i3i−3i-110000−3i3i-22−2i2i2-22i−2i00000000001-1-11−iii−i0000000000000
χ614-44-4-4400-210-222-2-221-1-12−3i3i−3i3i-1100003i−3i2-2−2i2i-222i−2i0000000000-111-1−iii−i0000000000000
χ624-44-4-4400-210-222-2-221-1-12−3i3i−3i3i-1100003i−3i-222i−2i2-2−2i2i00000000001-1-11i−i−ii0000000000000
χ634-4-440000440-40000-4-44-44000000000000000000000004-400000000000000000000000000
χ644-4-440000440-40000-4-44-4400000000000000000000000-4400000000000000000000000000
χ6588-8-8008-8-42040000-4-2-224-2-22200-440000000000000000000000000000000000000000000
χ6688-8-800-88-42040000-4-2-22422-2-2004-40000000000000000000000000000000000000000000
χ678-88-88-8002-40222-2-2-2-444-20000-44000000000000000000000000000000000000000000000
χ688-88-8-88002-402-2-222-2-444-200004-4000000000000000000000000000000000000000000000
χ698-8-8800002-40-26-6-66-24-442000000000000000000000000000000000000000000000000000
χ708-8-8800002-40-2-666-6-24-442000000000000000000000000000000000000000000000000000
χ718-8-880000-420400004-22-2-46i−6i−6i6i00000000000000000000000000000000000000000000000
χ728-8-880000-420400004-22-2-4−6i6i6i−6i00000000000000000000000000000000000000000000000

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