Finite Group Databasebeta

← Group #11865207

Character table — Group #11865207

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122222224444444444666666888888888888812121212121212121216161616161616162424242424242424242424242424242436363636487272
order122334466234666121212122244664666812121212121224242222446121261212121224242444666688121212121212242424442448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-11-1111111111111-11-1-1-11-1-1111-1-111-1-1-1-1-1-1-1
χ31111111111111111111111111-1111-111-1-111-1-11111111111-11-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1
χ41111111111111111111111111-1111-111-1-111-1-11-1-1-11-11111-11-1-1-1-1-1-111-1-1-1-11-11-1-111-1-1-1-1-1-1111
χ51111111111111111111-1-1-1-1-1-11111111111111-1111-11-1-1-111111111-11-1111-111-1-1-111-1-1-1-1-1-11-1-1
χ61111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ71111111111111111111-1-1-1-1-1-1-1111-111-1-111-1-1-1111-11-1-1-11-11-1-1-1-1-11-1-11111-11-111-1-111-1-1-1-1-111
χ81111111111111111111-1-1-1-1-1-1-1111-111-1-111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-1-1-111-1-111111111111-1-1
χ9111111111-11-111111111111111-1-11-1-1-11111-1-1-111-1-1-1111-11-111-1-1-111-111-1-1-1-1-11111-1-1-111-1-11-1
χ10111111111-11-111111111111111-1-11-1-1-11111-1-1-1-1-11-11111-11-111-1-1-11-1-1-1-11-111-111-1-1-1-11-1-111-11
χ11111111111-11-11111111111111-1-1-111-1-1-1-11111-111-1-1-1111-1-1-1-1-1111-1-1-111-111-1-1-1-1-1-111-111-11-11
χ12111111111-11-11111111111111-1-1-111-1-1-1-11111-1-1-11-11111-1-1-1-1-1111-11-1-1-111-11-1-1-111111-1-11-11-1
χ13111111111-11-11111111-1-1-1-1-1-11-1-11-1-1-11111-1-1111-11-1-1-1-1-11-111-1-1-1-11111-11-1-11-1-111111-1-11-1-11
χ14111111111-11-11111111-1-1-1-1-1-11-1-11-1-1-11111-1-11-1-1111-1-1-1-11-111-1-1-1-1-11-1-111111-1-1-1-111-111-111-1
χ15111111111-11-11111111-1-1-1-1-1-1-1-1-111-1-1-1-11111111-11-1-1-1-1-1-1-1-1-11111-1111-1-11-1111-1-1-1-11-1-1111-1
χ16111111111-11-11111111-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1111111-1-11-1-1111111-1-1-111-1-1-11
χ1722222-2-222020222-2-2-2-222-2-222000200000-2-20002-20002-2-2000000000002-20000000000002-20000
χ1822222-2-222020222-2-2-2-222-2-222000200000-2-2000-220002-2-200000000000-22000000000000-220000
χ1922222-2-222020222-2-2-2-2-2-222-2-2000200000-2-20002-2000-222000000000002-2000000000000-220000
χ2022222-2-222020222-2-2-2-2-2-222-2-2000200000-2-2000-22000-22200000000000-220000000000002-20000
χ212222-122-122-122-1-12-1-1200000022-1-12-1222-1-122022202000-1-1-1-1-1-1-1-1020-1-1-102-1000-1-1000000-100
χ222222-122-122-122-1-12-1-1200000022-1-12-1222-1-1220-2-2-20-2000-1-1-1-1-1-1-1-10-201110-2100011000000100
χ232222-122-122-122-1-12-1-12000000-22-1-1-2-12-2-2-1-1-2-2022202000-11-1111110-20-1-1-10-2-100011000000100
χ242222-122-122-122-1-12-1-12000000-22-1-1-2-12-2-2-1-1-2-20-2-2-20-2000-11-111111020111021000-1-1000000-100
χ252222-122-12-2-1-22-1-12-1-120000002-21-1-21-222-1-1-2-2022-20-20001-11-1-1111020-1-110-21000-1-1000000100
χ262222-122-12-2-1-22-1-12-1-120000002-21-1-21-222-1-1-2-20-2-22020001-11-1-11110-2011-102-100011000000-100
χ272222-122-12-2-1-22-1-12-1-12000000-2-21-121-2-2-2-1-122022-20-200011111-1-1-10-20-1-1102100011000000-100
χ282222-122-12-2-1-22-1-12-1-12000000-2-21-121-2-2-2-1-1220-2-220200011111-1-1-102011-10-2-1000-1-1000000100
χ29222-12222-12-12-12-1-122-12222-1-12-12-122-1-1-1-1-1-1-1200020-1-1-1-12-1-1-12-1-120-1000200-1-1-100-1-10000000
χ30222-12222-12-12-12-1-122-12222-1-1-2-12-1-22-111-1-111200020-1-1-1-1-2-111-211-20-1000-200-11100110000000
χ31222-12222-12-12-12-1-122-1-2-2-2-2112-12-122-1-1-1-1-1-1-1-2000-20111-12-1-1-12-1-1-201000-20011100110000000
χ32222-12222-12-12-12-1-122-1-2-2-2-211-2-12-1-22-111-1-111-2000-20111-1-2-111-2112010002001-1-100-1-10000000
χ33222-12222-1-2-1-2-12-1-122-12222-1-121-2-1-2-21-1-1-1-111-2000-20-1-1-1121-1-1-211201000-2001-1-100110000000
χ34222-12222-1-2-1-2-12-1-122-12222-1-1-21-2-12-2111-1-1-1-1-2000-20-1-1-11-21112-1-1-20100020011100-1-10000000
χ35222-12222-1-2-1-2-12-1-122-1-2-2-2-21121-2-1-2-21-1-1-1-111200020111121-1-1-211-20-1000200-11100-1-10000000
χ36222-12222-1-2-1-2-12-1-122-1-2-2-2-211-21-2-12-2111-1-1-1-12000201111-21112-1-120-1000-200-1-1-100110000000
χ3722-2222-22222-2-2-22-22-222-22-222022-20-2-200-22002000-20-22-220-200000002000000-20000000000000
χ3822-2222-22222-2-2-22-22-22-22-22-2-2022-20-2-200-2200-2000202-2220-20000000-200000020000000000000
χ3922-2222-222-222-2-22-22-222-22-2220-2-2-202200-2200-200020-22-2-2020000000-200000020000000000000
χ4022-2222-222-222-2-22-22-22-22-22-2-20-2-2-202200-22002000-202-22-20200000002000000-20000000000000
χ4122-222-2222020-2-222-22-22-2-2222000-2000002-20000020-2-2-220000000000000200-20000000-2002000
χ4222-222-2222020-2-222-22-22-2-2222000-2000002-200000-202-2-220000000000000-20020000000200-2000
χ4322-222-2222020-2-222-22-2-222-2-2-2000-2000002-20000020-222-20000000000000200-20000000200-2000
χ4422-222-2222020-2-222-22-2-222-2-2-2000-2000002-200000-20222-20000000000000-20020000000-2002000
χ4522-2-122-22-12-1-21-2-112-2-12-22-2-1-10-1210-21−i3i31-1−i3i32000-201-11-101−i3i30−i3i300-10000001−i3i300−i3i30000000
χ4622-2-122-22-12-1-21-2-112-2-12-22-2-1-10-1210-21i3−i31-1i3−i32000-201-11-101i3−i30i3−i300-10000001i3−i300i3−i30000000
χ4722-2-122-22-12-1-21-2-112-2-1-22-22110-1210-21−i3i31-1−i3i3-200020-11-1-101−i3i30−i3i3001000000-1i3−i300i3−i30000000
χ4822-2-122-22-12-1-21-2-112-2-1-22-22110-1210-21i3−i31-1i3−i3-200020-11-1-101i3−i30i3−i3001000000-1−i3i300−i3i30000000
χ4922-2-122-22-1-2-121-2-112-2-12-22-2-1-101-2102-1−i3i31-1i3−i3-2000201-1110-1−i3i30i3−i3001000000-1−i3i300i3−i30000000
χ5022-2-122-22-1-2-121-2-112-2-12-22-2-1-101-2102-1i3−i31-1−i3i3-2000201-1110-1i3−i30−i3i3001000000-1i3−i300−i3i30000000
χ5122-2-122-22-1-2-121-2-112-2-1-22-221101-2102-1−i3i31-1i3−i32000-20-11-110-1−i3i30i3−i300-10000001i3−i300−i3i30000000
χ5222-2-122-22-1-2-121-2-112-2-1-22-221101-2102-1i3−i31-1−i3i32000-20-11-110-1i3−i30−i3i300-10000001−i3i300i3−i30000000
χ534444-2-4-4-240-204-2-2-422-4000000000-200000220004-400000000000000000-22000000000000000000
χ544444-2-4-4-240-204-2-2-422-4000000000-20000022000-44000000000000000002-2000000000000000000
χ55444-24-4-44-20-20-24-22-4-4244-4-4-2-2000-2000002200000000-2220000000000000000000000000000000
χ56444-24-4-44-20-20-24-22-4-42-4-44422000-20000022000000002-2-20000000000000000000000000000000
χ57444-2-244-2-2414-2-21-2-2-2-20000004-2-214-2-2-2-211-2-20000000001-2111-21100000000000000000000000
χ58444-2-244-2-2414-2-21-2-2-2-2000000-4-2-21-4-2-2221122000000000121-1-12-1-100000000000000000000000
χ59444-2-244-2-2-41-4-2-21-2-2-2-20000004221-422-2-21122000000000-1-2-1112-1-100000000000000000000000
χ60444-2-244-2-2-41-4-2-21-2-2-2-2000000-42214222211-2-2000000000-12-1-1-1-21100000000000000000000000
χ6144-44-24-4-244-2-4-42-2-4-22400000004-2202-4002-200000000000-2020000000000000000000000000000
χ6244-44-24-4-24-4-24-42-2-4-2240000000-4220-24002-20000000000020-20000000000000000000000000000
χ6344-44-2-44-240-20-42-242-2-4000000000200000-220000040-40000000000000000-200200000000000000
χ6444-44-2-44-240-20-42-242-2-4000000000200000-2200000-4040000000000000000200-200000000000000
χ6544-4-24-444-20-202-4-2-2-4424-4-44-2-2000200000-220000000022-20000000000000000000000000000000
χ6644-4-24-444-20-202-4-2-2-442-444-422000200000-2200000000-2-220000000000000000000000000000000
χ6744-4-2-24-4-2-241-42212-22-20000000-2-2-1022−2i32i3-11−2i32i300000000010-1i3−i30i3−i300000000000000000000000
χ6844-4-2-24-4-2-241-42212-22-20000000-2-2-10222i3−2i3-112i3−2i300000000010-1−i3i30−i3i300000000000000000000000
χ6944-4-2-24-4-2-2-4142212-22-2000000022-10-2-2−2i32i3-112i3−2i3000000000-101i3−i30−i3i300000000000000000000000
χ7044-4-2-24-4-2-2-4142212-22-2000000022-10-2-22i3−2i3-11−2i32i3000000000-101−i3i30i3−i300000000000000000000000
χ71888-4-4-8-8-4-4020-4-424444000000000200000-2-2000000000000000000000000000000000000000000
χ7288-8-4-4-88-4-4020442-44-44000000000-2000002-2000000000000000000000000000000000000000000
χ738-808800-8-808000-8000000000000000000000000000000000000000000000000000000000000000
χ748-808-4004-80-40004000000000000000000000000000000000000000000000000000023−23000000000
χ758-808-4004-80-400040000000000000000000000000000000000000000000000000000−2323000000000
χ768-80-4800-840-4000400000000−4i34i300000000000000000000000000000000000000000000000000000
χ778-80-4800-840-40004000000004i3−4i300000000000000000000000000000000000000000000000000000
χ7816-160-8-8008804000-4000000000000000000000000000000000000000000000000000000000000000

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