Finite Group Databasebeta

← Group #11865877

Character table — Group #11865877

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order122222334444666666222236666666666612121212121212126666666666666666121212124444224466668888121212122424242424242424444444
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
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1
χ5111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ6111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1
χ7111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-111-1-1-1-11111-1-1-1-1-1-11111-1-11111
χ8111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-11111-1-1-1-1111111-1-1-1-1-1-11111
χ91111-1-1111-1-1111111111-1-11-1-1-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111111-11-1-1-1-1-111-1-111-1-11-111-1-1
χ101111-1-1111-1-1111111111-1-11-1-1-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-11-111111-1-111-1-1111-111-1-1
χ111111-1-1111-1-1111111111-1-11-1-1-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1111-1-1111-1-11-1-11-1-11111-1-1-1-111-11-1-111
χ121111-1-1111-1-1111111111-1-11-1-1-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-111-111-1-1-111-111-111-1-1-1-11111-1-1-11-1-111
χ131111-1-1111-1-11111111-1-1111-1-1-1-111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-11111-11-11-1-1-1-1-1-111-1-1111-1-1-111
χ141111-1-1111-1-11111111-1-1111-1-1-1-111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-11-11-1111111-1-111-1-11-1-1-111
χ151111-1-1111-1-11111111-1-1111-1-1-1-111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1-1111-1-1-111-1-1-111-1-11111-1-1-1111-1-1
χ161111-1-1111-1-11111111-1-1111-1-1-1-111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-111-1-1-1111-1-1111-1-111-1-1-1-111-1111-1-1
χ1722222222-2-2-2-22222220000222222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-22222000000000000000000000000-2-20000
χ1822222222-2-2-2-22222220000222222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-2000000000000000000000000220000
χ192222222-1222222-1-12-12222-122-1-1-1-1-1-1-1-1-12-122-1-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000020200-1-1002200-1-10000-1-1-1-1000000
χ202222222-1222222-1-12-12222-122-1-1-1-1-1-1-1-1-12-122-1-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000-20-2001100-2-2001100001111000000
χ212222222-1222222-1-12-1-2-2-2-2-122-1-1-1-1-1-1-1-1-12-122-1-12-1-2-211-2-21111111111-1-1-1-10000020200-1-100-2-200-1-100001111000000
χ222222222-1222222-1-12-1-2-2-2-2-122-1-1-1-1-1-1-1-1-12-122-1-12-1-2-211-2-21111111111-1-1-1-100000-20-20011002200110000-1-1-1-1000000
χ23222222-122222-1-122-122222-1-1-122-1-1-1-1-1-1-1-12-1-122-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100002020-1-1002200-1-100-1-1-1-10000000000
χ24222222-122222-1-122-122222-1-1-122-1-1-1-1-1-1-1-12-1-122-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-20-201100-2-200110011110000000000
χ25222222-122222-1-122-12-2-2-2-2-1-1-122-1-1-1-1-1-1-1-12-1-122-1211-2-211-2-211111111-1-1-1-100002020-1-100-2-200-1-10011110000000000
χ26222222-122222-1-122-12-2-2-2-2-1-1-122-1-1-1-1-1-1-1-12-1-122-1211-2-211-2-211111111-1-1-1-10000-20-20110022001100-1-1-1-10000000000
χ272222-2-222-222-222222200002-2-2-2-222-2-2-2-22-2-22222-2-20000000000000000-2-22222-2-2000000000000000000000000-220000
χ282222-2-222-222-222222200002-2-2-2-222-2-2-2-22-2-22222-2-20000000000000000-2-222-2-2220000000000000000000000002-20000
χ292222-2-22-12-2-2222-1-12-122-2-2-1-2-211-1-11111-12-1-2-2112-122-1-1-2-211-1-1-1-11111-1-1110000020-200-1-1002-200110000-1-111000000
χ302222-2-22-12-2-2222-1-12-122-2-2-1-2-211-1-11111-12-1-2-2112-122-1-1-2-211-1-1-1-11111-1-11100000-202001100-2200-1-1000011-1-1000000
χ312222-2-22-12-2-2222-1-12-1-2-222-1-2-211-1-11111-12-1-2-2112-1-2-21122-1-11111-1-1-1-1-1-1110000020-200-1-100-220011000011-1-1000000
χ322222-2-22-12-2-2222-1-12-1-2-222-1-2-211-1-11111-12-1-2-2112-1-2-21122-1-11111-1-1-1-1-1-11100000-2020011002-200-1-10000-1-111000000
χ332222-2-2-122-2-22-1-122-1222-2-2-111-2-2-1-11111-1-1211-2-2-12-1-12211-2-2-1-1-1-11111-1-111000020-20-1-1002-2001100-1-1110000000000
χ342222-2-2-122-2-22-1-122-1222-2-2-111-2-2-1-11111-1-1211-2-2-12-1-12211-2-2-1-1-1-11111-1-1110000-20201100-2200-1-10011-1-10000000000
χ352222-2-2-122-2-22-1-122-12-2-222-111-2-2-1-11111-1-1211-2-2-1211-2-2-1-1221111-1-1-1-1-1-111000020-20-1-100-2200110011-1-10000000000
χ362222-2-2-122-2-22-1-122-12-2-222-111-2-2-1-11111-1-1211-2-2-1211-2-2-1-1221111-1-1-1-1-1-1110000-202011002-200-1-100-1-1110000000000
χ3722-2-22-22222-2-2-2-2-2-222000022-22-2-2-222-2-22222-22-2-2-200000000000000002-22-20000000000000000000000000000002i−2i2i−2i
χ3822-2-22-22222-2-2-2-2-2-222000022-22-2-2-222-2-22222-22-2-2-200000000000000002-22-2000000000000000000000000000000−2i2i−2i2i
χ3922-2-22-222-2-222-2-2-2-2222-22-222-22-2-2-222-2-22-2-2-22-22222-22-22-22-222-2-222-2-2-22-220000000000000000000000000000000000
χ4022-2-22-222-2-222-2-2-2-222-22-2222-22-2-2-222-2-22-2-2-22-2222-22-22-22-22-2-222-2-222-22-220000000000000000000000000000000000
χ4122-2-22-22-1-2-222-2-2112-12-22-2-12-2-1111-1-111-1-21-221-12-12-2-112-2-11-1-111-1-1111-11-10000000000−i3i3000000−i3i30000−i3i3−i3i3000000
χ4222-2-22-22-1-2-222-2-2112-12-22-2-12-2-1111-1-111-1-21-221-12-12-2-112-2-11-1-111-1-1111-11-10000000000i3−i3000000i3−i30000i3−i3i3−i3000000
χ4322-2-22-22-1-2-222-2-2112-1-22-22-12-2-1111-1-111-1-21-221-12-1-221-1-221-111-1-111-1-11-11-10000000000−i3i3000000−i3i30000i3−i3i3−i3000000
χ4422-2-22-22-1-2-222-2-2112-1-22-22-12-2-1111-1-111-1-21-221-12-1-221-1-221-111-1-111-1-11-11-10000000000i3−i3000000i3−i30000−i3i3−i3i3000000
χ4522-2-22-2-12-2-22211-2-2-122-22-2-1-112-211-1-111-11-21-1-22-12-112-2-112-2-1-111-1-1111-11-100000000−i3i3000000−i3i300−i3i3−i3i30000000000
χ4622-2-22-2-12-2-22211-2-2-122-22-2-1-112-211-1-111-11-21-1-22-12-112-2-112-2-1-111-1-1111-11-100000000i3−i3000000i3−i300i3−i3i3−i30000000000
χ4722-2-22-2-12-2-22211-2-2-12-22-22-1-112-211-1-111-11-21-1-22-121-1-221-1-2211-1-111-1-11-11-100000000−i3i3000000−i3i300i3−i3i3−i30000000000
χ4822-2-22-2-12-2-22211-2-2-12-22-22-1-112-211-1-111-11-21-1-22-121-1-221-1-2211-1-111-1-11-11-100000000i3−i3000000i3−i300−i3i3−i3i30000000000
χ4922-2-2-22222-22-2-2-2-2-22200002-22-22-2-2-2-222222-22-22-2-200000000000000002-2-220000000000000000000000000000002i−2i−2i2i
χ5022-2-2-22222-22-2-2-2-2-22200002-22-22-2-2-2-222222-22-22-2-200000000000000002-2-22000000000000000000000000000000−2i2i2i−2i
χ5122-2-2-2222-22-22-2-2-2-2222-2-222-22-22-2-2-2-2222-2-22-22-2222-22-2-22-2222-2-2-2-222-222-20000000000000000000000000000000000
χ5222-2-2-2222-22-22-2-2-2-222-222-22-22-22-2-2-2-2222-2-22-22-222-22-222-22-2-2-22222-2-2-222-20000000000000000000000000000000000
χ5322-2-2-222-1-22-22-2-2112-12-2-22-1-221-11111-1-1-1-212-2-112-12-2-11-221-1-1-11111-1-11-1-110000000000−i3i3000000i3−i30000−i3i3i3−i3000000
χ5422-2-2-222-1-22-22-2-2112-12-2-22-1-221-11111-1-1-1-212-2-112-12-2-11-221-1-1-11111-1-11-1-110000000000i3−i3000000−i3i30000i3−i3−i3i3000000
χ5522-2-2-222-1-22-22-2-2112-1-222-2-1-221-11111-1-1-1-212-2-112-1-221-12-2-1111-1-1-1-1111-1-110000000000−i3i3000000i3−i30000i3−i3−i3i3000000
χ5622-2-2-222-1-22-22-2-2112-1-222-2-1-221-11111-1-1-1-212-2-112-1-221-12-2-1111-1-1-1-1111-1-110000000000i3−i3000000−i3i30000−i3i3i3−i3000000
χ5722-2-2-22-12-22-2211-2-2-122-2-22-11-1-221111-1-1-11-2-112-2-12-112-21-1-22-1-11111-1-11-1-1100000000−i3i3000000i3−i300−i3i3i3−i30000000000
χ5822-2-2-22-12-22-2211-2-2-122-2-22-11-1-221111-1-1-11-2-112-2-12-112-21-1-22-1-11111-1-11-1-1100000000i3−i3000000−i3i300i3−i3−i3i30000000000
χ5922-2-2-22-12-22-2211-2-2-12-222-2-11-1-221111-1-1-11-2-112-2-121-1-22-112-211-1-1-1-1111-1-1100000000−i3i3000000i3−i300i3−i3−i3i30000000000
χ6022-2-2-22-12-22-2211-2-2-12-222-2-11-1-221111-1-1-11-2-112-2-121-1-22-112-211-1-1-1-1111-1-1100000000i3−i3000000−i3i300−i3i3i3−i30000000000
χ614444444-2-4-4-4-444-2-24-20000-244-2-2-2-2-2-2-2-2-2-42-4-422-42000000000000000022220000000000000000000000000000000000
χ62444444-24-4-4-4-4-2-244-240000-2-2-244-2-2-2-2-2-2-22-422-4-42-4000000000000000022220000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-244441-2-2-2-21111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-2-4-4-4-41-2-2-2-21111111-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-111110000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-200001-2-2-2-2111111122222222000000003-33-33-33-3-1-1-1-10000000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-200001-2-2-2-211111112222222200000000-33-33-33-33-1-1-1-10000000000000000000000000000000000
χ674444-4-44-2-444-444-2-24-20000-2-4-422-2-22222-2-4244-2-2-42000000000000000022-2-20000000000000000000000000000000000
χ684444-4-4-24-444-4-2-244-240000-222-4-4-2-22222-22-4-2-2442-4000000000000000022-2-20000000000000000000000000000000000
χ694444-4-4-2-24-4-44-2-2-2-2-2-244-4-41222211-1-1-1-11-2-22222-2-2-2-2-2-222221111-1-1-1-111-1-10000000000000000000000000000000000
χ704444-4-4-2-24-4-44-2-2-2-2-2-2-4-4441222211-1-1-1-11-2-22222-2-22222-2-2-2-2-1-1-1-1111111-1-10000000000000000000000000000000000
χ714444-4-4-2-2-444-4-2-2-2-2-2-200001222211-1-1-1-1122-2-2-2-222000000003-33-3-33-33-1-1110000000000000000000000000000000000
χ724444-4-4-2-2-444-4-2-2-2-2-2-200001222211-1-1-1-1122-2-2-2-22200000000-33-333-33-3-1-1110000000000000000000000000000000000
χ7344-4-44-44-244-4-4-4-4224-20000-24-4-2222-2-222-24-24-4-22-420000000000000000-22-220000000000000000000000000000000000
χ7444-4-44-4-2444-4-422-4-4-240000-2-224-422-2-222-2-24-224-42-40000000000000000-22-220000000000000000000000000000000000
χ7544-4-44-4-2-244-4-42222-2-200001-22-22-1-111-1-11-2-2-22-2222000000003-3-333-3-331-11-10000000000000000000000000000000000
χ7644-4-44-4-2-244-4-42222-2-200001-22-22-1-111-1-11-2-2-22-222200000000-333-3-333-31-11-10000000000000000000000000000000000
χ7744-4-44-4-2-2-4-4442222-2-24-44-41-22-22-1-111-1-11222-22-2-2-2-22-22-22-2211-1-111-1-1-11-110000000000000000000000000000000000
χ7844-4-44-4-2-2-4-4442222-2-2-44-441-22-22-1-111-1-11222-22-2-2-22-22-22-22-2-1-111-1-111-11-110000000000000000000000000000000000
χ7944-4-4-444-24-44-4-4-4224-20000-2-442-22222-2-2-24-2-442-2-420000000000000000-222-20000000000000000000000000000000000
χ8044-4-4-44-244-44-422-4-4-240000-22-2-442222-2-2-2-242-2-442-40000000000000000-222-20000000000000000000000000000000000
χ8144-4-4-44-2-24-44-42222-2-2000012-22-2-1-1-1-1111-2-22-22-222000000003-3-33-333-31-1-110000000000000000000000000000000000
χ8244-4-4-44-2-24-44-42222-2-2000012-22-2-1-1-1-1111-2-22-22-22200000000-333-33-3-331-1-110000000000000000000000000000000000
χ8344-4-4-44-2-2-44-442222-2-24-4-4412-22-2-1-1-1-111122-22-22-2-2-22-222-22-211-1-1-1-111-111-10000000000000000000000000000000000
χ8444-4-4-44-2-2-44-442222-2-2-444-412-22-2-1-1-1-111122-22-22-2-22-22-2-22-22-1-11111-1-1-111-10000000000000000000000000000000000
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).