Finite Group Databasebeta

← Group #11785126

Character table — Group #11785126

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order1222223344446666662222366666666666121212121212121266666666666666661212121244448888888824242424242424242424242424242424444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ5111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1
χ6111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ7111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111
χ8111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ911111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i-1-111-1-1
χ1011111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii-1-111-1-1
χ1111111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii11-1-111
χ1211111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i11-1-111
χ1311111111-1-1-1-1111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii-1-1-1-111
χ1411111111-1-1-1-1111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-1-1-1-111
χ1511111111-1-1-1-1111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i1111-1-1
χ1611111111-1-1-1-1111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii1111-1-1
χ172222222-1222222-1-12-12222-122-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000-1-1-1-1-1-1-1-1000000
χ182222222-1222222-1-12-12222-122-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-20000000011111111000000
χ192222222-1222222-1-12-1-2-2-2-2-122-1-1-1-1-1-1-1-1-122-1-122-1-1-2-211-2-21111111111-1-1-1-10000000022-2-200000000-1-1-1-11111000000
χ202222222-1222222-1-12-1-2-2-2-2-122-1-1-1-1-1-1-1-1-122-1-122-1-1-2-211-2-21111111111-1-1-1-100000000-2-222000000001111-1-1-1-1000000
χ212222222-1-2-2-2-222-1-12-122-2-2-122-1-1-1-1-1-1-1-1-1-2-211-2-21122-1-1-2-211-1-1-1-111111111000000002i−2i2i−2i00000000−i−iii−i−iii000000
χ222222222-1-2-2-2-222-1-12-122-2-2-122-1-1-1-1-1-1-1-1-1-2-211-2-21122-1-1-2-211-1-1-1-11111111100000000−2i2i−2i2i00000000ii−i−iii−i−i000000
χ232222222-1-2-2-2-222-1-12-1-2-222-122-1-1-1-1-1-1-1-1-1-2-211-2-211-2-21122-1-11111-1-1-1-11111000000002i−2i−2i2i00000000−i−iiiii−i−i000000
χ242222222-1-2-2-2-222-1-12-1-2-222-122-1-1-1-1-1-1-1-1-1-2-211-2-211-2-21122-1-11111-1-1-1-1111100000000−2i2i2i−2i00000000ii−i−i−i−iii000000
χ25222222-122222-1-122-122222-1-1-122-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022220000-1-1-1-1-1-1-1-100000000000000
χ26222222-122222-1-122-122222-1-1-122-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200001111111100000000000000
χ27222222-122222-1-122-12-2-2-2-2-1-1-122-1-1-1-1-1-1-1-1-122-1-12211-2-211-2-211111111-1-1-1-1000022-2-20000-1-1-1-1111100000000000000
χ28222222-122222-1-122-12-2-2-2-2-1-1-122-1-1-1-1-1-1-1-1-122-1-12211-2-211-2-211111111-1-1-1-10000-2-22200001111-1-1-1-100000000000000
χ29222222-12-2-2-2-2-1-122-1222-2-2-1-1-122-1-1-1-1-1-1-111-2-211-2-2-1-12211-2-2-1-1-1-11111111100002i−2i2i−2i0000−i−iii−i−iii00000000000000
χ30222222-12-2-2-2-2-1-122-1222-2-2-1-1-122-1-1-1-1-1-1-111-2-211-2-2-1-12211-2-2-1-1-1-1111111110000−2i2i−2i2i0000ii−i−iii−i−i00000000000000
χ31222222-12-2-2-2-2-1-122-12-2-222-1-1-122-1-1-1-1-1-1-111-2-211-2-211-2-2-1-1221111-1-1-1-1111100002i−2i−2i2i0000−i−iiiii−i−i00000000000000
χ32222222-12-2-2-2-2-1-122-12-2-222-1-1-122-1-1-1-1-1-1-111-2-211-2-211-2-2-1-1221111-1-1-1-111110000−2i2i2i−2i0000ii−i−i−i−iii00000000000000
χ332222-2-2222-22-222222200002-2-2-2-222-2-2-2-222-22-22-22-2000000000000000022-2-222-2-20000000000000000000000002-20000
χ342222-2-2222-22-222222200002-2-2-2-222-2-2-2-222-22-22-22-2000000000000000022-2-2-2-222000000000000000000000000-220000
χ352222-2-222-22-2222222200002-2-2-2-222-2-2-2-22-22-22-22-220000000000000000-2-22222-2-2000000000000000000000000-220000
χ362222-2-222-22-2222222200002-2-2-2-222-2-2-2-22-22-22-22-220000000000000000-2-222-2-2220000000000000000000000002-20000
χ3722-2-22-22222-2-2-2-2-2-2222-22-222-22-2-2-222-2-222222-2-2-2-22-22-22-22-222-2-222-2-22-22-20000000000000000000000000000000000
χ3822-2-22-22222-2-2-2-2-2-222-22-2222-22-2-2-222-2-222222-2-2-2-2-22-22-22-22-2-222-2-2222-22-20000000000000000000000000000000000
χ3922-2-22-222-2-222-2-2-2-2222-2-2222-22-2-2-222-2-22-2-2-2-222222-22-2-22-2222-2-2-2-222-22-220000000000000000000000000000000000
χ4022-2-22-222-2-222-2-2-2-222-222-222-22-2-2-222-2-22-2-2-2-22222-22-222-22-2-2-22222-2-2-22-220000000000000000000000000000000000
χ4122-2-22-22-122-2-2-2-2112-12-22-2-12-2-1111-1-111-122-1-1-2-2112-2-112-2-11-1-111-1-111-11-11000000000000000000003−33−33−33−3000000
χ4222-2-22-22-122-2-2-2-2112-12-22-2-12-2-1111-1-111-122-1-1-2-2112-2-112-2-11-1-111-1-111-11-1100000000000000000000−33−33−33−33000000
χ4322-2-22-22-122-2-2-2-2112-1-22-22-12-2-1111-1-111-122-1-1-2-211-221-1-221-111-1-111-1-1-11-11000000000000000000003−33−3−33−33000000
χ4422-2-22-22-122-2-2-2-2112-1-22-22-12-2-1111-1-111-122-1-1-2-211-221-1-221-111-1-111-1-1-11-1100000000000000000000−33−333−33−3000000
χ4522-2-22-22-1-2-222-2-2112-12-2-22-12-2-1111-1-111-1-2-21122-1-12-2-11-221-1-1-11111-1-11-11-100000000000000000000−i3i3i3−i3−i3i3i3−i3000000
χ4622-2-22-22-1-2-222-2-2112-12-2-22-12-2-1111-1-111-1-2-21122-1-12-2-11-221-1-1-11111-1-11-11-100000000000000000000i3−i3−i3i3i3−i3−i3i3000000
χ4722-2-22-22-1-2-222-2-2112-1-222-2-12-2-1111-1-111-1-2-21122-1-1-221-12-2-1111-1-1-1-1111-11-100000000000000000000−i3i3i3−i3i3−i3−i3i3000000
χ4822-2-22-22-1-2-222-2-2112-1-222-2-12-2-1111-1-111-1-2-21122-1-1-221-12-2-1111-1-1-1-1111-11-100000000000000000000i3−i3−i3i3−i3i3i3−i3000000
χ4922-2-22-2-1222-2-211-2-2-122-22-2-1-112-211-1-111-1-1-12211-2-2-112-2-112-2-1-111-1-111-11-110000000000003−33−33−33−300000000000000
χ5022-2-22-2-1222-2-211-2-2-122-22-2-1-112-211-1-111-1-1-12211-2-2-112-2-112-2-1-111-1-111-11-11000000000000−33−33−33−3300000000000000
χ5122-2-22-2-1222-2-211-2-2-12-22-22-1-112-211-1-111-1-1-12211-2-21-1-221-1-2211-1-111-1-1-11-110000000000003−33−3−33−3300000000000000
χ5222-2-22-2-1222-2-211-2-2-12-22-22-1-112-211-1-111-1-1-12211-2-21-1-221-1-2211-1-111-1-1-11-11000000000000−33−333−33−300000000000000
χ5322-2-22-2-12-2-22211-2-2-122-2-22-1-112-211-1-111-111-2-2-1-122-112-21-1-22-1-11111-1-11-11-1000000000000−i3i3i3−i3−i3i3i3−i300000000000000
χ5422-2-22-2-12-2-22211-2-2-122-2-22-1-112-211-1-111-111-2-2-1-122-112-21-1-22-1-11111-1-11-11-1000000000000i3−i3−i3i3i3−i3−i3i300000000000000
χ5522-2-22-2-12-2-22211-2-2-12-222-2-1-112-211-1-111-111-2-2-1-1221-1-22-112-211-1-1-1-1111-11-1000000000000−i3i3i3−i3i3−i3−i3i300000000000000
χ5622-2-22-2-12-2-22211-2-2-12-222-2-1-112-211-1-111-111-2-2-1-1221-1-22-112-211-1-1-1-1111-11-1000000000000i3−i3−i3i3−i3i3i3−i300000000000000
χ5722-2-2-22222-2-22-2-2-2-22200002-22-22-2-2-2-22222-22-2-22-2200000000000000002-2-220000000000000000000000000000002i−2i2i−2i
χ5822-2-2-22222-2-22-2-2-2-22200002-22-22-2-2-2-22222-22-2-22-2200000000000000002-2-22000000000000000000000000000000−2i2i−2i2i
χ5922-2-2-2222-222-2-2-2-2-22200002-22-22-2-2-2-2222-22-222-22-20000000000000000-222-20000000000000000000000000000002i−2i−2i2i
χ6022-2-2-2222-222-2-2-2-2-22200002-22-22-2-2-2-2222-22-222-22-20000000000000000-222-2000000000000000000000000000000−2i2i2i−2i
χ61444444-2-24444-2-2-2-2-2-244441-2-2-2-21111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-2-4-4-4-41-2-2-2-21111111-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-111110000000000000000000000000000000000
χ63444444-2-2-4-4-4-4-2-2-2-2-2-244-4-41-2-2-2-2111111122222222-2-2-2-222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-2-4-4441-2-2-2-21111111222222222222-2-2-2-2-1-1-1-11111-1-1-1-10000000000000000000000000000000000
χ654444-4-44-24-44-444-2-24-20000-2-4-422-2-22222-24-4-224-4-220000000000000000-2-2220000000000000000000000000000000000
χ664444-4-44-2-44-4444-2-24-20000-2-4-422-2-22222-2-442-2-442-2000000000000000022-2-20000000000000000000000000000000000
χ674444-4-4-244-44-4-2-244-240000-222-4-4-2-22222-2-224-4-224-40000000000000000-2-2220000000000000000000000000000000000
χ684444-4-4-24-44-44-2-244-240000-222-4-4-2-22222-22-2-442-2-44000000000000000022-2-20000000000000000000000000000000000
χ694444-4-4-2-24-44-4-2-2-2-2-2-200001222211-1-1-1-11-22-22-22-22000000003-33-33-33-311-1-10000000000000000000000000000000000
χ704444-4-4-2-24-44-4-2-2-2-2-2-200001222211-1-1-1-11-22-22-22-2200000000-33-33-33-3311-1-10000000000000000000000000000000000
χ714444-4-4-2-2-44-44-2-2-2-2-2-200001222211-1-1-1-112-22-22-22-2000000003-33-3-33-33-1-1110000000000000000000000000000000000
χ724444-4-4-2-2-44-44-2-2-2-2-2-200001222211-1-1-1-112-22-22-22-200000000-33-333-33-3-1-1110000000000000000000000000000000000
χ7344-4-44-4-2-244-4-42222-2-24-44-41-22-22-1-111-1-11-2-2-2-22222-22-22-22-2211-1-111-1-11-11-10000000000000000000000000000000000
χ7444-4-44-4-2-244-4-42222-2-2-44-441-22-22-1-111-1-11-2-2-2-222222-22-22-22-2-1-111-1-1111-11-10000000000000000000000000000000000
χ7544-4-44-4-2-2-4-4442222-2-24-4-441-22-22-1-111-1-112222-2-2-2-2-22-222-22-211-1-1-1-111-11-110000000000000000000000000000000000
χ7644-4-44-4-2-2-4-4442222-2-2-444-41-22-22-1-111-1-112222-2-2-2-22-22-2-22-22-1-11111-1-1-11-110000000000000000000000000000000000
χ7744-4-4-444-24-4-44-4-4224-20000-2-442-22222-2-2-24-4-22-442-20000000000000000-222-20000000000000000000000000000000000
χ7844-4-4-444-2-444-4-4-4224-20000-2-442-22222-2-2-2-442-24-4-2200000000000000002-2-220000000000000000000000000000000000
χ7944-4-4-44-244-4-4422-4-4-240000-22-2-442222-2-2-2-224-42-2-440000000000000000-222-20000000000000000000000000000000000
χ8044-4-4-44-24-444-422-4-4-240000-22-2-442222-2-2-22-2-44-224-400000000000000002-2-220000000000000000000000000000000000
χ8144-4-4-44-2-24-4-442222-2-2000012-22-2-1-1-1-1111-22-222-22-2000000003-3-333-3-331-1-110000000000000000000000000000000000
χ8244-4-4-44-2-24-4-442222-2-2000012-22-2-1-1-1-1111-22-222-22-200000000-333-3-333-31-1-110000000000000000000000000000000000
χ8344-4-4-44-2-2-444-42222-2-2000012-22-2-1-1-1-11112-22-2-22-22000000003-3-33-333-3-111-10000000000000000000000000000000000
χ8444-4-4-44-2-2-444-42222-2-2000012-22-2-1-1-1-11112-22-2-22-2200000000-333-33-3-33-111-10000000000000000000000000000000000
χ854-44-4004400004-44-4-4-40000400004-40000-40000000000000000000000000000004i−4i000000000000000000000000000000
χ864-44-4004400004-44-4-4-40000400004-40000-4000000000000000000000000000000−4i4i000000000000000000000000000000
χ874-4-4400440000-44-44-4-4000040000-440000-400000000000000000000000000004-400000000000000000000000000000000
χ884-4-4400440000-44-44-4-4000040000-440000-40000000000000000000000000000-4400000000000000000000000000000000
χ898-88-8008-400008-8-44-840000-40000-440000400000000000000000000000000000000000000000000000000000000000000
χ908-88-800-480000-448-84-80000-40000-440000400000000000000000000000000000000000000000000000000000000000000
χ918-88-800-4-40000-44-44440000200002-26-66-6-200000000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-40000-44-44440000200002-2-66-66-200000000000000000000000000000000000000000000000000000000000000
χ938-8-88008-40000-884-4-840000-400004-40000400000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-4800004-4-884-80000-400004-40000400000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-400004-44-444000020000-226-6-66-200000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-400004-44-444000020000-22-666-6-200000000000000000000000000000000000000000000000000000000000000

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