Finite Group Databasebeta

← Group #11886686

Character table — Group #11886686

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222222444444444444444488888888888888888888888888121212121212242424242424242424242424242424363636364848487272
order122334466223446666612121212121246666666612121212121212121212121212121212122488242444468881212121212242424248812242428
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-111-1-1111-1-1111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-111-1-111-1-1-111-1-1-1-1-1-1-1111-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ51111111111-111-111111111111-11-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-11-1-11111-1-1-1-1-1111111-1-1-1
χ61111111111-111-111111111111-11-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11-111-11-111111-1-1-1-1-1-1-1-1-1111
χ71111111111-111-111111111111-11-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-11-11-1-1-1-1-1111-1-1-1-111-111
χ81111111111-111-111111111111-11-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-111-1-1-1-1111111111-1-11-1-1
χ9111111111-111-111-1-1111-1-1111-1-1111-1-111-11-1-11-1-111-1-111-1-1-1-1111111-11-11-11-11-1-1-1-11-1-111-1-11-111-1
χ10111111111-111-111-1-1111-1-1111-1-1111-1-111-11-1-11-1-111-1-111-1-1-1-1111111-1-111-1-111-1-1111-1-1-1-111-11-1-11
χ11111111111-111-111-1-1111-1-1111-1-1111-1-111-11-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-111-1-1111-11-11
χ12111111111-111-111-1-1111-1-1111-1-1111-1-111-11-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-11-11-11-11-11111-11111-1-1-11-11-1
χ13111111111-1-11-1-11-1-1111-1-11111-1-1-11-1-1-1-1-1-111-11111-1-1-1-1111111-1-1-1-1-11111-1-11-1-111-11111-1-11-1-1-11
χ14111111111-1-11-1-11-1-1111-1-11111-1-1-11-1-1-1-1-1-111-11111-1-1-1-1111111-1-1-1-1-1-1-111111-1-1-1-1-111-1-111-1111-1
χ15111111111-1-11-1-11-1-1111-1-11111-1-1-11-1-1-1-1-1-111-11111-1-1-1-11111-1-11111111-1-1-1-1-111111-1-1-1-1111-1-11-1
χ16111111111-1-11-1-11-1-1111-1-11111-1-1-11-1-1-1-1-1-111-11111-1-1-1-11111-1-111111-1-1-1-111-111-1-11-1-111-1-1-111-11
χ172222-1222-122-122-1-1-12-1-1-1-122-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1200-1200-1-1-100-1-1-1000000000
χ182222-1222-122-122-1-1-12-1-1-1-122-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2001-20011100111000000000
χ192222-1222-12-2-12-2-1-1-12-1-1-1-122-1-22-21-1-1-1112-2-2-2111-1-1-1-111111122-2-211200-1-200-1-1-100111000000000
χ202222-1222-12-2-12-2-1-1-12-1-1-1-122-1-22-21-1-1-1112-2-2-2111-1-1-1-1111111-2-222-1-1-200120011100-1-1-1000000000
χ212222-1222-1-22-1-22-1112-1-11122-1-2-22-1-111-1-1-22-2-2-111-1-111-1-111112222-1-1-200-1-200-11100-111000000000
χ222222-1222-1-22-1-22-1112-1-11122-1-2-22-1-111-1-1-22-2-2-111-1-111-1-11111-2-2-2-21120012001-1-1001-1-1000000000
χ232222-1222-1-2-2-1-2-2-1112-1-11122-12-2-21-11111-2-2221-1-1-1-11111-1-1-1-122-2-211-200-1200-111001-1-1000000000
χ242222-1222-1-2-2-1-2-2-1112-1-11122-12-2-21-11111-2-2221-1-1-1-11111-1-1-1-1-2-222-1-12001-2001-1-100-111000000000
χ25222-1222-1222-122222-1-1222-1-122-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-10000000220022000-1-10000000-1-1-100
χ26222-1222-1222-122222-1-1222-1-122-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-10000000-2-200-2-200011000000011100
χ27222-1222-122-2-12-2222-1-1222-1-12-2-11-2-1-1-111-1111-2-2-2-1-1-1-111111100000002-200-22000110000000-1-1100
χ28222-1222-122-2-12-2222-1-1222-1-12-2-11-2-1-1-111-1111-2-2-2-1-1-1-11111110000000-22002-2000-1-1000000011-100
χ29222-1222-12-22-1-222-2-2-1-12-2-2-1-12-21-12-111-1-11-1112-2-2-1-111-1-1111100000002-2002-2000110000000-11-100
χ30222-1222-12-22-1-222-2-2-1-12-2-2-1-12-21-12-111-1-11-1112-2-2-1-111-1-111110000000-2200-22000-1-100000001-1100
χ31222-1222-12-2-2-1-2-22-2-2-1-12-2-2-1-12211-2-1111111-1-1-222-1-11111-1-1-1-100000002200-2-2000-1-10000000-11100
χ32222-1222-12-2-2-1-2-22-2-2-1-12-2-2-1-12211-2-1111111-1-1-222-1-11111-1-1-1-10000000-2-200220001100000001-1-100
χ3322-2222-2220220-2-200-22-2002-220022-200220-200-2002-200-2-200002-22-2220002000-20000-200000000000
χ3422-2222-2220220-2-200-22-2002-220022-200220-200-2002-200-2-20000-22-22-2-2000-200020000200000000000
χ3522-2222-2220-2202-200-22-2002-2200-2-2-200-2-202002002-2002200002-2-22-2-20002000-20000200000000000
χ3622-2222-2220-2202-200-22-2002-2200-2-2-200-2-202002002-200220000-222-222000-200020000-200000000000
χ3722-222-2222202-20-222-222-2-2-22-20200-22200-2000000-22-2-20000000000000000000000000002-22-200000
χ3822-222-2222202-20-222-222-2-2-22-20200-22200-2000000-22-2-2000000000000000000000000000-22-2200000
χ3922-222-2222-20220-2-2-2-22222-22-20-200-2-2-2002000000-22220000000000000000000000000002-2-2200000
χ4022-222-2222-20220-2-2-2-22222-22-20-200-2-2-2002000000-2222000000000000000000000000000-222-200000
χ4122-22-12-22-102-10-21−i3i3-2-11−i3i32-2-1002-11−i3i3-1-10-2001−i3i3-11−i3i311−i3−i3i3i32-22-2-1-1000-10001−i3i3001−i3i3000000000
χ4222-22-12-22-102-10-21−i3i3-2-11−i3i32-2-1002-11−i3i3-1-10-2001−i3i3-11−i3i311−i3−i3i3i3-22-22110001000-1i3−i300-1i3−i3000000000
χ4322-22-12-22-102-10-21i3−i3-2-11i3−i32-2-1002-11i3−i3-1-10-2001i3−i3-11i3−i311i3i3−i3−i32-22-2-1-1000-10001i3−i3001i3−i3000000000
χ4422-22-12-22-102-10-21i3−i3-2-11i3−i32-2-1002-11i3−i3-1-10-2001i3−i3-11i3−i311i3i3−i3−i3-22-22110001000-1−i3i300-1−i3i3000000000
χ4522-22-12-22-10-2-1021−i3i3-2-11−i3i32-2-100-211−i3i3110200-1i3−i3-11−i3i3-1-1i3i3−i3−i32-2-2211000-10001−i3i300-1i3−i3000000000
χ4622-22-12-22-10-2-1021−i3i3-2-11−i3i32-2-100-211−i3i3110200-1i3−i3-11−i3i3-1-1i3i3−i3−i3-222-2-1-10001000-1i3−i3001−i3i3000000000
χ4722-22-12-22-10-2-1021i3−i3-2-11i3−i32-2-100-211i3−i3110200-1−i3i3-11i3−i3-1-1−i3−i3i3i32-2-2211000-10001i3−i300-1−i3i3000000000
χ4822-22-12-22-10-2-1021i3−i3-2-11i3−i32-2-100-211i3−i3110200-1−i3i3-11i3−i3-1-1−i3−i3i3i3-222-2-1-10001000-1−i3i3001i3−i3000000000
χ4944444-4-4440040040044-400-4-4-40000400000000000-4-400000000000000000000000000000000000000
χ504444-2-4-44-200-200-2−2i32i34-222i3−2i3-4-420000-2−2i32i3000000000222i3−2i3000000000000000000000000000000000000
χ514444-2-4-44-200-200-22i3−2i34-22−2i32i3-4-420000-22i3−2i300000000022−2i32i3000000000000000000000000000000000000
χ52444-24-4-4-2400-200400-2-2-40022-40000-2000000−2i32i3000220000−2i32i3−2i32i3000000000000000000000000000000
χ53444-24-4-4-2400-200400-2-2-40022-40000-20000002i3−2i30002200002i3−2i32i3−2i3000000000000000000000000000000
χ54444-2-244-2-244144-2-2-2-21-2-2-2-2-2-24-2-2-211111-2-2-2-2-2-2-21111111111000000000000000000000000000000
χ55444-2-244-2-24-414-4-2-2-2-21-2-2-2-2-2-2-4-222111-1-1-22222221111-1-1-1-1-1-1000000000000000000000000000000
χ56444-2-244-2-2-441-44-222-21-222-2-2-2-42-2-21-1-1112-222-22211-1-111-1-1-1-1000000000000000000000000000000
χ57444-2-244-2-2-4-41-4-4-222-21-222-2-2-242221-1-1-1-122-2-22-2-211-1-1-1-11111000000000000000000000000000000
χ58444-2-2-4-4-2-200100-2−2i32i3-2122i3−2i322200001i3−i33-300−2i32i3000-1-1−i3i33-3i3−i3i3−i3000000000000000000000000000000
χ59444-2-2-4-4-2-200100-2−2i32i3-2122i3−2i322200001i3−i3-33002i3−2i3000-1-1−i3i3-33−i3i3−i3i3000000000000000000000000000000
χ60444-2-2-4-4-2-200100-22i3−2i3-212−2i32i322200001−i3i33-3002i3−2i3000-1-1i3−i33-3−i3i3−i3i3000000000000000000000000000000
χ61444-2-2-4-4-2-200100-22i3−2i3-212−2i32i322200001−i3i3-3300−2i32i3000-1-1i3−i3-33i3−i3i3−i3000000000000000000000000000000
χ6244-44-2-444-240-2-402-2-2-4-2-222-44204002-2-200-40000002-222000000000000000000000000000000000000
χ6344-44-2-444-2-40-240222-4-2-2-2-2-4420-4002220040000002-2-2-2000000000000000000000000000000000000
χ6444-4-244-4-2404-20-4-4002-2-400-22400-24200-2-20200-400-2200220000000000000000000000000000000000
χ6544-4-244-4-240-4-204-4002-2-400-224002-4200220-200400-2200-2-20000000000000000000000000000000000
χ6644-4-24-44-2440-2-40-4442-24-4-42-2-40-2002-2-20020000002-222000000000000000000000000000000000000
χ6744-4-24-44-24-40-240-4-4-42-24442-2-4020022200-20000002-2-2-2000000000000000000000000000000000000
χ6844-4-2-24-4-2-20410-42−2i32i3212−2i32i3-22-200-2-2-1i3−i31102002−2i32i31-1i3−i3-1-1i3i3−i3−i3000000000000000000000000000000
χ6944-4-2-24-4-2-20410-422i3−2i32122i3−2i3-22-200-2-2-1−i3i311020022i3−2i31-1−i3i3-1-1−i3−i3i3i3000000000000000000000000000000
χ7044-4-2-24-4-2-20-41042−2i32i3212−2i32i3-22-20022-1i3−i3-1-10-200-22i3−2i31-1i3−i311−i3−i3i3i3000000000000000000000000000000
χ7144-4-2-24-4-2-20-410422i3−2i32122i3−2i3-22-20022-1−i3i3-1-10-200-2−2i32i31-1−i3i311i3i3−i3−i3000000000000000000000000000000
χ7244-4-2-2-44-2-2401-402-2-221-2222-220-200-1113-32000000-11-1-1-33-333-3000000000000000000000000000000
χ7344-4-2-2-44-2-2401-402-2-221-2222-220-200-111-332000000-11-1-13-33-3-33000000000000000000000000000000
χ7444-4-2-2-44-2-2-4014022221-2-2-22-220200-1-1-13-3-2000000-1111-333-3-33000000000000000000000000000000
χ7544-4-2-2-44-2-2-4014022221-2-2-22-220200-1-1-1-33-2000000-11113-3-333-3000000000000000000000000000000
χ768-808800-8-8008000000-800000000000000000000000000000000000000000000000000000000000000
χ778-808-400-8400-400000040000000000000000000000000000000000002i6−2i6000000000000000000000000
χ788-808-400-8400-40000004000000000000000000000000000000000000−2i62i6000000000000000000000000
χ798-80-48004-800-40000004000000000000000000000000000000000000000000000000−2i32i3000000000000
χ808-80-48004-800-400000040000000000000000000000000000000000000000000000002i3−2i3000000000000
χ8116-160-8-80088004000000-400000000000000000000000000000000000000000000000000000000000000

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