Finite Group Databasebeta

← Group #11870356

Character table — Group #11870356

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order122222334444666666366666661212121212121212121212122466666666661212121212121212121222444444446688121212121212121212122424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1
χ91111-1-111-1-1111111111-1-1-1-11111-1-111-1-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-11-11-111-1-11-11-11-11-111-1-111-1-111-1-111-1-111-1-1
χ101111-1-111-1-1111111111-1-1-1-11111-1-111-1-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-11-11-1-1-1111-11-1-111-111-1-1-1-111-1-111-1-111-1-111
χ111111-1-111-1-1111111111-1-1-1-11111-1-111-1-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-1-11-1111-1-1-11-111-1-11-1-11111-1-111-1-1-1-111-1-111
χ121111-1-111-1-1111111111-1-1-1-11111-1-111-1-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-1-11-11-1-111-11-11-11-11-1-111-1-111-1-11111-1-111-1-1
χ131111-1-111-1-1111111111-1-1-1-11111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-111111111111-11-111-1-1-111-1-111-1-1-11111-1-1-1-11111-1-1-1-111
χ141111-1-111-1-1111111111-1-1-1-11111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-111111111111-11-1-1-111-111-11-11-1-1-111-1-11111-1-1-1-11111-1-1
χ151111-1-111-1-1111111111-1-1-1-11111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-11-1111-1-11-1-11-11-1111-1-111-1-1-1-111-1-11111-1-1
χ161111-1-111-1-1111111111-1-1-1-11111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-11-11-1-1111-1-111-1-1111-1-1-1-11111-1-111-1-1-1-111
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000002200000000-2-200002-2-220000002-200-2200000000000000000000
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000002200000000-2-20000-222-2000000-22002-200000000000000000000
χ192222222-122222-12-12-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222000022-1-100-1-1-1-1-1-10000000000000000
χ202222222-122222-12-12-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-20000-2-211001111110000000000000000
χ212222222-122222-12-12-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-12-2-2-2-211-1-11111-2-211-1-1111122220000-2-2-1-100-1-111110000000000000000
χ222222222-122222-12-12-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-12-2-2-2-211-1-11111-2-211-1-11111-2-2-2-2000022110011-1-1-1-10000000000000000
χ232222222-1-2-2-2-22-12-12-1-122-1-1-1-1-1-2-2-211111111-20000−i3i3-1-1−i3−i3i3i300−i3i311−i3−i3i3i32-2-22000000-11001-1−i3i3−i3i30000000000000000
χ242222222-1-2-2-2-22-12-12-1-122-1-1-1-1-1-2-2-211111111-20000−i3i3-1-1−i3−i3i3i300−i3i311−i3−i3i3i3-222-20000001-100-11i3−i3i3−i30000000000000000
χ252222222-1-2-2-2-22-12-12-1-122-1-1-1-1-1-2-2-211111111-20000i3−i3-1-1i3i3−i3−i300i3−i311i3i3−i3−i32-2-22000000-11001-1i3−i3i3−i30000000000000000
χ262222222-1-2-2-2-22-12-12-1-122-1-1-1-1-1-2-2-211111111-20000i3−i3-1-1i3i3−i3−i300i3−i311i3i3−i3−i3-222-20000001-100-11−i3i3−i3i30000000000000000
χ27222222-122222-12-12-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100002222000022000000-1-1-1-1-1-1-1-100000000
χ28222222-122222-12-12-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-20000-2-20000001111111100000000
χ29222222-122222-12-12-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-2-211-2-2-1-1111111-2-2-1-11111000022220000-2-2000000-1-1-1-1111100000000
χ30222222-122222-12-12-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-2-211-2-2-1-1111111-2-2-1-111110000-2-2-2-20000220000001111-1-1-1-100000000
χ312222-2-22222-2-22222222-2-2-2-2222-222-2-2222222-2000000-2-200000000-2-2000022-2-20000002200-2-200000000000000000000
χ322222-2-22222-2-22222222-2-2-2-2222-222-2-2222222-2000000-2-200000000-2-20000-2-222000000-2-2002200000000000000000000
χ332222-2-22-122-2-22-12-12-1-1-2-211-1-1-1-22211-1-1-1-1-1-1-20000−i3i311−i3−i3i3i300i3−i311i3i3−i3−i322-2-2000000-1-10011−i3i3i3−i30000000000000000
χ342222-2-22-122-2-22-12-12-1-1-2-211-1-1-1-22211-1-1-1-1-1-1-20000−i3i311−i3−i3i3i300i3−i311i3i3−i3−i3-2-2220000001100-1-1i3−i3−i3i30000000000000000
χ352222-2-22-122-2-22-12-12-1-1-2-211-1-1-1-22211-1-1-1-1-1-1-20000i3−i311i3i3−i3−i300−i3i311−i3−i3i3i322-2-2000000-1-10011i3−i3−i3i30000000000000000
χ362222-2-22-122-2-22-12-12-1-1-2-211-1-1-1-22211-1-1-1-1-1-1-20000i3−i311i3i3−i3−i300−i3i311−i3−i3i3i3-2-2220000001100-1-1−i3i3i3−i30000000000000000
χ372222-2-22-1-2-2222-12-12-1-1-2-211-1-1-12-2-2-1-111111122-222-1-111-1-1-1-1-2-211-1-111112-22-200002-2-1100-11-1-1110000000000000000
χ382222-2-22-1-2-2222-12-12-1-1-2-211-1-1-12-2-2-1-111111122-222-1-111-1-1-1-1-2-211-1-11111-22-220000-221-1001-111-1-10000000000000000
χ392222-2-22-1-2-2222-12-12-1-1-2-211-1-1-12-2-2-1-11111112-22-2-21111111122-1-1-1-1-1-1-1-12-22-20000-22-1100-1111-1-10000000000000000
χ402222-2-22-1-2-2222-12-12-1-1-2-211-1-1-12-2-2-1-11111112-22-2-21111111122-1-1-1-1-1-1-1-1-22-2200002-21-1001-1-1-1110000000000000000
χ412222-2-2-12-2-222-12-12-12-111-2-2-1-1-1-11122-2-21111-12-2-1-12211-1-1-1-111-2-2-1-11111000022-2-200002-2000000-1-111-1-11100000000
χ422222-2-2-12-2-222-12-12-12-111-2-2-1-1-1-11122-2-21111-12-2-1-12211-1-1-1-111-2-2-1-111110000-2-2220000-2200000011-1-111-1-100000000
χ432222-2-2-12-2-222-12-12-12-111-2-2-1-1-1-11122-2-21111-1-2211-2-2111111-1-122-1-1-1-1-1-1000022-2-20000-22000000-1-11111-1-100000000
χ442222-2-2-12-2-222-12-12-12-111-2-2-1-1-1-11122-2-21111-1-2211-2-2111111-1-122-1-1-1-1-1-10000-2-22200002-200000011-1-1-1-11100000000
χ4522-2-22-2222-22-2-2-222-2-222-22-2-2-22-22-22-22-222-2-220000002-2000000002-2000000000000000000000000000000002i−2i2i−2i0000
χ4622-2-22-2222-22-2-2-222-2-222-22-2-2-22-22-22-22-222-2-220000002-2000000002-200000000000000000000000000000000−2i2i−2i2i0000
χ4722-2-22-222-22-22-2-222-2-222-22-2-2-222-22-22-22-2-222-20000002-200000000-22000000002i−2i2i−2i0000000000002i−2i2i−2i000000000000
χ4822-2-22-222-22-22-2-222-2-222-22-2-2-222-22-22-22-2-222-20000002-200000000-2200000000−2i2i−2i2i000000000000−2i2i−2i2i000000000000
χ4922-2-22-2-12-22-221-2-121-2-1-112-211-1-11-1-22-2211-1-1100−i3i300-11−i3i3−i3i3−i3i3001-1−i3i3−i3i300002i−2i2i−2i000000000000−ii−ii3−33−300000000
χ5022-2-22-2-12-22-221-2-121-2-1-112-211-1-11-1-22-2211-1-1100−i3i300-11−i3i3−i3i3−i3i3001-1−i3i3−i3i30000−2i2i−2i2i000000000000i−ii−i−33−3300000000
χ5122-2-22-2-12-22-221-2-121-2-1-112-211-1-11-1-22-2211-1-1100i3−i300-11i3−i3i3−i3i3−i3001-1i3−i3i3−i300002i−2i2i−2i000000000000−ii−ii−33−3300000000
χ5222-2-22-2-12-22-221-2-121-2-1-112-211-1-11-1-22-2211-1-1100i3−i300-11i3−i3i3−i3i3−i3001-1i3−i3i3−i30000−2i2i−2i2i000000000000i−ii−i3−33−300000000
χ5322-2-2-22222-2-22-2-222-2-22-22-22-2-2222-2-222-222-2-2-2000000-2200000000-22000000002i−2i−2i2i0000000000002i−2i−2i2i000000000000
χ5422-2-2-22222-2-22-2-222-2-22-22-22-2-2222-2-222-222-2-2-2000000-2200000000-2200000000−2i2i2i−2i000000000000−2i2i2i−2i000000000000
χ5522-2-2-2222-222-2-2-222-2-22-22-22-2-22-2-222-2-22-2-2222000000-22000000002-2000000000000000000000000000000002i−2i−2i2i0000
χ5622-2-2-2222-222-2-2-222-2-22-22-22-2-22-2-222-2-22-2-2222000000-22000000002-200000000000000000000000000000000−2i2i2i−2i0000
χ5722-2-2-22-122-2-221-2-121-2-11-1-2211-1-1-11-222-2-1-111100−i3i3001-1−i3i3−i3i3i3−i3001-1i3−i3i3−i300002i−2i−2i2i000000000000−iii−i3−3−3300000000
χ5822-2-2-22-122-2-221-2-121-2-11-1-2211-1-1-11-222-2-1-111100−i3i3001-1−i3i3−i3i3i3−i3001-1i3−i3i3−i30000−2i2i2i−2i000000000000i−i−ii−333−300000000
χ5922-2-2-22-122-2-221-2-121-2-11-1-2211-1-1-11-222-2-1-111100i3−i3001-1i3−i3i3−i3−i3i3001-1−i3i3−i3i300002i−2i−2i2i000000000000−iii−i−333−300000000
χ6022-2-2-22-122-2-221-2-121-2-11-1-2211-1-1-11-222-2-1-111100i3−i3001-1i3−i3i3−i3−i3i3001-1−i3i3−i3i30000−2i2i2i−2i000000000000i−i−ii3−3−3300000000
χ61444444-24-4-4-4-4-24-24-24-2-2-244-2-2-2222-4-4-4-422222000000-2-200000000220000000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-21111-244-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-21111-2-4-4222211-1-1-1-1222211-1-1-1-1000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21112222222-1-1-1-120000−2i32i311i3i3−i3−i300−2i32i3-1-1i3i3−i3−i3000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21112222222-1-1-1-1200002i3−2i311−i3−i3i3i3002i3−2i3-1-1−i3−i3i3i3000000000000000000000000000000000000
χ664444-4-4-2444-4-4-24-24-24-222-4-4-2-2-22-2-2-4-444-2-2-2-220000002200000000220000000000000000000000000000000000000000
χ674444-4-4-2-244-4-4-2-2-2-2-2-2122221112-2-222-2-2111120000−2i32i3-1-1i3i3−i3−i3002i3−2i3-1-1−i3−i3i3i3000000000000000000000000000000000000
χ684444-4-4-2-244-4-4-2-2-2-2-2-2122221112-2-222-2-21111200002i3−2i3-1-1−i3−i3i3i300−2i32i3-1-1i3i3−i3−i3000000000000000000000000000000000000
χ694444-4-4-2-2-4-444-2-2-2-2-2-212222111-222-2-222-1-1-1-1-24-4-2-2-2-2-1-11111222211-1-1-1-1000000000000000000000000000000000000
χ704444-4-4-2-2-4-444-2-2-2-2-2-212222111-222-2-222-1-1-1-1-2-442222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000
χ7144-4-44-44-24-44-4-424-2-42-24-4-2222-2-44-4-22-22-2-2224000000-2200000000-220000000000000000000000000000000000000000
χ7244-4-44-44-2-44-44-424-2-42-24-4-2222-24-442-22-222-2-2-4000000-22000000002-20000000000000000000000000000000000000000
χ7344-4-44-4-244-44-42-4-242-4-2-224-422-22-224-44-4-2-222-2000000-2200000000-220000000000000000000000000000000000000000
χ7444-4-44-4-2-24-44-422-2-2221-22-22-1-112-22-22-2211-1-1-20000001-13-3-3300001-13-3-33000000000000000000000000000000000000
χ7544-4-44-4-2-24-44-422-2-2221-22-22-1-112-22-22-2211-1-1-20000001-1-333-300001-1-333-3000000000000000000000000000000000000
χ7644-4-44-4-2-2-44-4422-2-2221-22-22-1-11-22-22-22-2-1-111200−2i32i3001-1i3−i3i3−i3−2i32i300-11i3−i3i3−i3000000000000000000000000000000000000
χ7744-4-44-4-2-2-44-4422-2-2221-22-22-1-11-22-22-22-2-1-1112002i3−2i3001-1−i3i3−i3i32i3−2i300-11−i3i3−i3i3000000000000000000000000000000000000
χ7844-4-4-444-24-4-44-424-2-42-2-442-222-244-42-2-22-2-222-40000002-2000000002-20000000000000000000000000000000000000000
χ7944-4-4-444-2-444-4-424-2-42-2-442-222-2-4-44-222-222-2-240000002-200000000-220000000000000000000000000000000000000000
χ8044-4-4-44-24-444-42-4-242-4-22-2-4422-222-24-4-4422-2-2-20000002-200000000-220000000000000000000000000000000000000000
χ8144-4-4-44-2-24-4-4422-2-22212-22-2-1-11-2-222-2-2211-1-1200−2i32i300-11i3−i3i3−i32i3−2i300-11−i3i3−i3i3000000000000000000000000000000000000
χ8244-4-4-44-2-24-4-4422-2-22212-22-2-1-11-2-222-2-2211-1-12002i3−2i300-11−i3i3−i3i3−2i32i300-11i3−i3i3−i3000000000000000000000000000000000000
χ8344-4-4-44-2-2-444-422-2-22212-22-2-1-1122-2-222-2-1-111-2000000-113-3-3300001-1-333-3000000000000000000000000000000000000
χ8444-4-4-44-2-2-444-422-2-22212-22-2-1-1122-2-222-2-1-111-2000000-11-333-300001-13-3-33000000000000000000000000000000000000
χ854-44-4004400004-4-4-4-44400004-4-400000000000000000000000000000000000000000000000000000000000000000000−2i22i2
χ864-44-4004400004-4-4-4-44400004-4-4000000000000000000000000000000000000000000000000000000000000000000002i2−2i2
χ874-4-4400440000-44-4-44-440000-44-4000000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ884-4-4400440000-44-4-44-440000-44-40000000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ898-88-8008-4000084-84-8-4-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-800-480000-4-84-848-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-800-4-40000-44444-4200002-2-200000006i−6i6i−6i00000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-40000-44444-4200002-2-20000000−6i6i−6i6i00000000000000000000000000000000000000000000000000000000000
χ938-8-88008-40000-8-4-8484-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-480000484-8-4-8-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-400004-444-4420000-22-200000006i−6i−6i6i00000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-400004-444-4420000-22-20000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000000000

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