Finite Group Databasebeta

← Group #11864606

Character table — Group #11864606

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order12222233444466666636666666121212121212121212121212246666666666121212121212121212122222224444666666881212121212122424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ511111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111111111-1-1-1-1
χ91111-1-111-1-1111111111-1-1-1-11111-1-111-1-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-111-1-11-11-11-11-111-1-11-11-111-1-111-1-111-1-111-1-1
χ101111-1-111-1-1111111111-1-1-1-11111-1-111-1-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-111-1-1-11-11-11-1111-1-11-1-11-1-11111-1-1-1-111-1-111
χ111111-1-111-1-1111111111-1-1-1-11111-1-111-1-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-1-1-1111-11-11-11-1-1-111-111-111-1-1-1-111-1-111-1-111
χ121111-1-111-1-1111111111-1-1-1-11111-1-111-1-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-1-1-111-11-11-11-11-1-111-11-11-1-111-1-11111-1-111-1-1
χ131111-1-111-1-1111111111-1-1-1-11111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1111111111111-1-11-11-1-111-111-1-1-111-1-1-111-1-11111-1-1-1-111
χ141111-1-111-1-1111111111-1-1-1-11111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-11-111-1-1111-1-1-11-1111-1-1-1-111-1-11111-1-1
χ151111-1-111-1-1111111111-1-1-1-11111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-1111-11-1-111-1-1-1111-11-1-1-11111-1-1-1-11111-1-1
χ161111-1-111-1-1111111111-1-1-1-11111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-111-11-111-1-11-1-1111-1-1111-1-111-1-111-1-1-1-111
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000002200000000-2-2000000002-2-22002-2000000-220000000000000000
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000002200000000-2-200000000-222-200-220000002-20000000000000000
χ192222222-122222-1-1-122-122-1-1-1-1-1-1-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222200000000-1-1-1-122000000-1-1-1-100000000
χ202222222-122222-1-1-122-122-1-1-1-1-1-1-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2000000001111-2-2000000111100000000
χ212222222-122222-1-1-122-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-2-2-2-211-1-1111111-2-2-1-11111222200000000-1-1-1-1-2-2000000111100000000
χ222222222-122222-1-1-122-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-2-2-2-211-1-1111111-2-2-1-11111-2-2-2-200000000111122000000-1-1-1-100000000
χ23222222-122222-1222-1-1-1-1-122-1-1-1222-1-1-1-1-1-1-1-1222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-10000222222-1-1000000-1-1-1-1-1-1000000000000
χ24222222-122222-1222-1-1-1-1-122-1-1-1222-1-1-1-1-1-1-1-1222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-2-2-211000000111111000000000000
χ25222222-122222-1222-1-1-1-1-122-1-1-1222-1-1-1-1-1-1-1-12-2-211-2-2-1-11111-2-211-1-1111100002222-2-2-1-1000000-1-11111000000000000
χ26222222-122222-1222-1-1-1-1-122-1-1-1222-1-1-1-1-1-1-1-12-2-211-2-2-1-11111-2-211-1-111110000-2-2-2-2221100000011-1-1-1-1000000000000
χ27222222-12-2-2-2-2-1222-1-1-1-1-122-1-1-1-2-2-211111111-200−i3i300-1-1−i3−i3i3i300−i3i311−i3−i3i3i300002-2-2200-110000001-1−i3i3−i3i3000000000000
χ28222222-12-2-2-2-2-1222-1-1-1-1-122-1-1-1-2-2-211111111-200−i3i300-1-1−i3−i3i3i300−i3i311−i3−i3i3i30000-222-2001-1000000-11i3−i3i3−i3000000000000
χ29222222-12-2-2-2-2-1222-1-1-1-1-122-1-1-1-2-2-211111111-200i3−i300-1-1i3i3−i3−i300i3−i311i3i3−i3−i300002-2-2200-110000001-1i3−i3i3−i3000000000000
χ30222222-12-2-2-2-2-1222-1-1-1-1-122-1-1-1-2-2-211111111-200i3−i300-1-1i3i3−i3−i300i3−i311i3i3−i3−i30000-222-2001-1000000-11−i3i3−i3i3000000000000
χ312222-2-22222-2-22222222-2-2-2-2222-222-2-2222222-2000000-2-200000000-2-20000000022-2-20022000000-2-20000000000000000
χ322222-2-22222-2-22222222-2-2-2-2222-222-2-2222222-2000000-2-200000000-2-200000000-2-22200-2-2000000220000000000000000
χ332222-2-22-1-2-2222-1-1-122-1-2-211-1-1-1-11122-2-21111-12-222-1-111-1-1-1-111-2-2-1-1111122-2-200000000-1-1112-2000000-1-11100000000
χ342222-2-22-1-2-2222-1-1-122-1-2-211-1-1-1-11122-2-21111-12-222-1-111-1-1-1-111-2-2-1-11111-2-2220000000011-1-1-2200000011-1-100000000
χ352222-2-22-1-2-2222-1-1-122-1-2-211-1-1-1-11122-2-21111-1-22-2-211111111-1-122-1-1-1-1-1-122-2-200000000-1-111-2200000011-1-100000000
χ362222-2-22-1-2-2222-1-1-122-1-2-211-1-1-1-11122-2-21111-1-22-2-211111111-1-122-1-1-1-1-1-1-2-2220000000011-1-12-2000000-1-11100000000
χ372222-2-2-1222-2-2-1222-1-1-111-2-2-1-1-1-22211-1-1-1-1-1-1-200−i3i30011−i3−i3i3i300i3−i311i3i3−i3−i3000022-2-200-1-100000011−i3i3i3−i3000000000000
χ382222-2-2-1222-2-2-1222-1-1-111-2-2-1-1-1-22211-1-1-1-1-1-1-200−i3i30011−i3−i3i3i300i3−i311i3i3−i3−i30000-2-2220011000000-1-1i3−i3−i3i3000000000000
χ392222-2-2-1222-2-2-1222-1-1-111-2-2-1-1-1-22211-1-1-1-1-1-1-200i3−i30011i3i3−i3−i300−i3i311−i3−i3i3i3000022-2-200-1-100000011i3−i3−i3i3000000000000
χ402222-2-2-1222-2-2-1222-1-1-111-2-2-1-1-1-22211-1-1-1-1-1-1-200i3−i30011i3i3−i3−i300−i3i311−i3−i3i3i30000-2-2220011000000-1-1−i3i3i3−i3000000000000
χ412222-2-2-12-2-222-1222-1-1-111-2-2-1-1-12-2-2-1-111111122-2-1-12211-1-1-1-1-2-211-1-1111100002-22-22-2-11000000-11-1-111000000000000
χ422222-2-2-12-2-222-1222-1-1-111-2-2-1-1-12-2-2-1-111111122-2-1-12211-1-1-1-1-2-211-1-111110000-22-22-221-10000001-111-1-1000000000000
χ432222-2-2-12-2-222-1222-1-1-111-2-2-1-1-12-2-2-1-11111112-2211-2-211111122-1-1-1-1-1-1-1-100002-22-2-22-11000000-1111-1-1000000000000
χ442222-2-2-12-2-222-1222-1-1-111-2-2-1-1-12-2-2-1-11111112-2211-2-211111122-1-1-1-1-1-1-1-10000-22-222-21-10000001-1-1-111000000000000
χ452-2-222-2222-22-2-2-2-222-222-22-2-2-22-22-22-22-222-2-220000002-2000000002-200002-22-2000000002-22-200000000000000000000
χ462-2-222-2222-22-2-2-2-222-222-22-2-2-22-22-22-22-222-2-220000002-2000000002-20000-22-2200000000-22-2200000000000000000000
χ472-2-222-222-22-22-2-2-222-222-22-2-2-222-22-22-22-2-222-20000002-200000000-22000000000000000000000000000000002-22-20000
χ482-2-222-222-22-22-2-2-222-222-22-2-2-222-22-22-22-2-222-20000002-200000000-2200000000000000000000000000000000-22-220000
χ492-2-222-22-12-22-2-211-12-2-12-2-1111-11-112-22-2-1-111-10000−i3i3-11−i3i3−i3i3−i3i300-11−i3i3−i3i32-22-200000000-11-1100000000−i3i3−i3i300000000
χ502-2-222-22-12-22-2-211-12-2-12-2-1111-11-112-22-2-1-111-10000−i3i3-11−i3i3−i3i3−i3i300-11−i3i3−i3i3-22-22000000001-11-100000000i3−i3i3−i300000000
χ512-2-222-22-12-22-2-211-12-2-12-2-1111-11-112-22-2-1-111-10000i3−i3-11i3−i3i3−i3i3−i300-11i3−i3i3−i32-22-200000000-11-1100000000i3−i3i3−i300000000
χ522-2-222-22-12-22-2-211-12-2-12-2-1111-11-112-22-2-1-111-10000i3−i3-11i3−i3i3−i3i3−i300-11i3−i3i3−i3-22-22000000001-11-100000000−i3i3−i3i300000000
χ532-2-22-22222-2-22-2-2-222-22-22-22-2-2222-2-222-222-2-2-2000000-2200000000-22000000000000000000000000000000002-2-220000
χ542-2-22-22222-2-22-2-2-222-22-22-22-2-2222-2-222-222-2-2-2000000-2200000000-2200000000000000000000000000000000-222-20000
χ552-2-22-2222-222-2-2-2-222-22-22-22-2-22-2-222-2-22-2-2222000000-22000000002-200002-2-22000000002-2-2200000000000000000000
χ562-2-22-2222-222-2-2-2-222-22-22-22-2-22-2-222-2-22-2-2222000000-22000000002-20000-222-200000000-222-200000000000000000000
χ572-2-22-222-1-222-2-211-12-2-1-221-111-111-12-2-2211-1-1-10000−i3i31-1−i3i3−i3i3i3−i300-11i3−i3i3−i32-2-2200000000-111-100000000−i3i3i3−i300000000
χ582-2-22-222-1-222-2-211-12-2-1-221-111-111-12-2-2211-1-1-10000−i3i31-1−i3i3−i3i3i3−i300-11i3−i3i3−i3-222-2000000001-1-1100000000i3−i3−i3i300000000
χ592-2-22-222-1-222-2-211-12-2-1-221-111-111-12-2-2211-1-1-10000i3−i31-1i3−i3i3−i3−i3i300-11−i3i3−i3i32-2-2200000000-111-100000000i3−i3−i3i300000000
χ602-2-22-222-1-222-2-211-12-2-1-221-111-111-12-2-2211-1-1-10000i3−i31-1i3−i3i3−i3−i3i300-11−i3i3−i3i3-222-2000000001-1-1100000000−i3i3i3−i300000000
χ614444444-2-4-4-4-44-2-2-244-244-2-2-2-2-2222-4-4-4-422222000000-2-200000000220000000000000000000000000000000000000000
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
χ64444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21112222222-1-1-1-1200−2i32i30011i3i3−i3−i300−2i32i3-1-1i3i3−i3−i3000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21112222222-1-1-1-12002i3−2i30011−i3−i3i3i3002i3−2i3-1-1−i3−i3i3i3000000000000000000000000000000000000
χ664444-4-44-244-4-44-2-2-244-2-4-422-2-2-22-2-2-4-444-2-2-2-220000002200000000220000000000000000000000000000000000000000
χ674444-4-4-2-244-4-4-2-2-2-2-2-2122221112-2-222-2-21111200−2i32i300-1-1i3i3−i3−i3002i3−2i3-1-1−i3−i3i3i3000000000000000000000000000000000000
χ684444-4-4-2-244-4-4-2-2-2-2-2-2122221112-2-222-2-211112002i3−2i300-1-1−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
χ7144-4-40044000044-4-4-4-4400004-4-400000000000000000000000000000000000000000000000000000000000000000000−2i22i2
χ7244-4-40044000044-4-4-4-4400004-4-4000000000000000000000000000000000000000000000000000000000000000000002i2−2i2
χ734-44-400440000-4-44-4-4440000-44-400000000000000000000000000000000000000000000000000000000000000000022−2200
χ744-44-400440000-4-44-4-4440000-44-4000000000000000000000000000000000000000000000000000000000000000000−222200
χ754-4-444-44-2-44-44-422-24-4-24-4-2222-2-22-2-44-4422-2-22000000-22000000002-20000000000000000000000000000000000000000
χ764-4-444-4-244-44-42-4-44-22-2-224-422-2-44-4-22-22-2-2224000000-2200000000-220000000000000000000000000000000000000000
χ774-4-444-4-24-44-442-4-44-22-2-224-422-24-442-22-222-2-2-4000000-22000000002-20000000000000000000000000000000000000000
χ784-4-444-4-2-24-44-4222-2-221-22-22-1-112-22-22-2211-1-1-20000−2i32i31-1i3−i3i3−i3−2i32i3001-1i3−i3i3−i3000000000000000000000000000000000000
χ794-4-444-4-2-24-44-4222-2-221-22-22-1-112-22-22-2211-1-1-200002i3−2i31-1−i3i3−i3i32i3−2i3001-1−i3i3−i3i3000000000000000000000000000000000000
χ804-4-444-4-2-2-44-44222-2-221-22-22-1-11-22-22-22-2-1-11120000001-13-3-330000-113-3-33000000000000000000000000000000000000
χ814-4-444-4-2-2-44-44222-2-221-22-22-1-11-22-22-22-2-1-11120000001-1-333-30000-11-333-3000000000000000000000000000000000000
χ824-4-44-444-24-4-44-422-24-4-2-442-222-2-2-22-444-4-2-22220000002-2000000002-20000000000000000000000000000000000000000
χ834-4-44-44-244-4-442-4-44-22-22-2-4422-244-42-2-22-2-222-40000002-2000000002-20000000000000000000000000000000000000000
χ844-4-44-44-24-444-42-4-44-22-22-2-4422-2-4-44-222-222-2-240000002-200000000-220000000000000000000000000000000000000000
χ854-4-44-44-2-24-4-44222-2-2212-22-2-1-11-2-222-2-2211-1-12000000-113-3-330000-11-333-3000000000000000000000000000000000000
χ864-4-44-44-2-24-4-44222-2-2212-22-2-1-11-2-222-2-2211-1-12000000-11-333-30000-113-3-33000000000000000000000000000000000000
χ874-4-44-44-2-2-444-4222-2-2212-22-2-1-1122-2-222-2-1-111-20000−2i32i3-11i3−i3i3−i32i3−2i3001-1−i3i3−i3i3000000000000000000000000000000000000
χ884-4-44-44-2-2-444-4222-2-2212-22-2-1-1122-2-222-2-1-111-200002i3−2i3-11−i3i3−i3i3−2i32i3001-1i3−i3i3−i3000000000000000000000000000000000000
χ8988-8-8008-400008-444-8-8-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-480000-48-8-844-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-40000-4-44444200002-2-200000006i−6i6i−6i00000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-4-44444200002-2-20000000−6i6i−6i6i00000000000000000000000000000000000000000000000000000000000
χ938-88-8008-40000-84-44-88-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-800-4800004-88-84-4-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-4000044-444-420000-22-200000006i−6i−6i6i00000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-4000044-444-420000-22-20000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000000000

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