Finite Group Databasebeta

← Group #72226278

Character table — Group #72226278

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size11333388889912121212242424243636363648484848484848486464727272721133338888991212121224242424363636364848484848484848646472727272
order1222223366222444666624446612121212121236244422222266662224446666244466121212121212662444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111-1-1111111-1-1111-1-111-1-111-1-1-1-11111111111111-1-1111111-1-1111-1-111-1-111-1-1-1-1
χ3111111111111-111-11111-111-1-1-111-1-11111-1-1-1-1111111111111-111-11111-111-1-1-111-1-11111-1-1-1-1
χ4111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ52222222-1-122220022-12-12002-1-100-1-100-1-100002222222-1-122220022-12-12002-1-100-1-100-1-10000
χ62222222-1-1222-200-22-12-1-200-211001100-1-100002222222-1-1222-200-22-12-1-200-211001100-1-10000
χ7222222-122-1220220-12-12022000-1-100-1-1-1-10000222222-122-1220220-12-12022000-1-100-1-1-1-10000
χ8222222-122-1220-2-20-12-120-2-2000110011-1-10000222222-122-1220-2-20-12-120-2-2000110011-1-10000
χ92-2-2-22222-2-2-2200002-2-220000000000002-200002-2-2-22222-2-2-2200002-2-220000000000002-20000
χ102-2-2-2222-11-2-22000021-2-10000−i3i300−i3i300-1100002-2-2-2222-11-2-22000021-2-10000−i3i300−i3i300-110000
χ112-2-2-2222-11-2-22000021-2-10000i3−i300i3−i300-1100002-2-2-2222-11-2-22000021-2-10000i3−i300i3−i300-110000
χ122-2-2-222-12-21-220000-1-2120000003−3003−3-1100002-2-2-222-12-21-220000-1-2120000003−3003−3-110000
χ132-2-2-222-12-21-220000-1-212000000−3300−33-1100002-2-2-222-12-21-220000-1-212000000−3300−33-110000
χ14333-1-133003-1-131-13-10-10-11-1-1001100-1-1001-11-1333-1-133003-1-131-13-10-10-11-1-1001100-1-1001-11-1
χ15333-1-133003-1-13-113-10-10-1-11-100-1-1001100-11-11333-1-133003-1-13-113-10-10-1-11-100-1-1001100-11-11
χ16333-1-133003-1-1-31-1-3-10-1011-11001100-1-100-11-11333-1-133003-1-1-31-1-3-10-1011-11001100-1-100-11-11
χ17333-1-133003-1-1-3-11-3-10-101-11100-1-10011001-11-1333-1-133003-1-1-3-11-3-10-101-11100-1-10011001-11-1
χ1833-133-10330-1-1133-10-10-11-1-1-11100-1-1000011-1-133-133-10330-1-1133-10-10-11-1-1-11100-1-1000011-1-1
χ1933-133-10330-1-11-3-3-10-10-1111-11100-1-10000-1-11133-133-10330-1-11-3-3-10-10-1111-11100-1-10000-1-111
χ2033-133-10330-1-1-13310-10-1-1-1-11-1-100110000-1-11133-133-10330-1-1-13310-10-1-1-1-11-1-100110000-1-111
χ2133-133-10330-1-1-1-3-310-10-1-1111-1-10011000011-1-133-133-10330-1-1-1-3-310-10-1-1111-1-10011000011-1-1
χ22444444-2-2-2-2440000-2-2-2-2000000000000110000444444-2-2-2-2440000-2-2-2-2000000000000110000
χ234-4-4-444-2-222-440000-222-20000000000001-100004-4-4-444-2-222-440000-222-20000000000001-10000
χ24666-2-26-300-3-2-202-20101002-2000-1-10011000000666-2-26-300-3-2-202-20101002-2000-1-10011000000
χ25666-2-26-300-3-2-20-22010100-220001100-1-1000000666-2-26-300-3-2-20-22010100-220001100-1-1000000
χ2666-266-20-3-30-2-2200-20101200-2-1-100110000000066-266-20-3-30-2-2200-20101200-2-1-1001100000000
χ2766-266-20-3-30-2-2-20020101-20021100-1-10000000066-266-20-3-30-2-2-20020101-20021100-1-100000000
χ286-62-66-206-602-20000020-20000000000000000006-62-66-206-602-20000020-2000000000000000000
χ296-62-66-20-3302-200000-1010000−i3i300i3−i3000000006-62-66-20-3302-200000-1010000−i3i300i3−i300000000
χ306-62-66-20-3302-200000-1010000i3−i300−i3i3000000006-62-66-20-3302-200000-1010000i3−i300−i3i300000000
χ316-6-62-26600-62-20000-20200000000000000000006-6-62-26600-62-20000-2020000000000000000000
χ326-6-62-26-30032-2000010-100000003−300−330000006-6-62-26-30032-2000010-100000003−300−33000000
χ336-6-62-26-30032-2000010-10000000−33003−30000006-6-62-26-30032-2000010-10000000−33003−3000000
χ3499-3-3-3-300001133-3-30000-1-11100000000001-1-1199-3-3-3-300001133-3-30000-1-11100000000001-1-11
χ3599-3-3-3-30000113-33-30000-11-110000000000-111-199-3-3-3-30000113-33-30000-11-110000000000-111-1
χ3699-3-3-3-3000011-33-3300001-11-10000000000-111-199-3-3-3-3000011-33-3300001-11-10000000000-111-1
χ3799-3-3-3-3000011-3-333000011-1-100000000001-1-1199-3-3-3-3000011-3-333000011-1-100000000001-1-11
χ3818-1866-6-60000-220000000000000000000000000018-1866-6-60000-2200000000000000000000000000
χ3911111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ401111111111111-1-1111111-1-1111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-111-1-111-1-11111
χ41111111111111-111-11111-111-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11-1-1111-1-111-1-1-1-11111
χ42111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1
χ432222222-1-122220022-12-12002-1-100-1-100-1-10000-2-2-2-2-2-2-211-2-2-2-200-2-21-21-200-211001100110000
χ442222222-1-1222-200-22-12-1-200-211001100-1-10000-2-2-2-2-2-2-211-2-2-22002-21-212002-1-100-1-100110000
χ45222222-122-1220220-12-12022000-1-100-1-1-1-10000-2-2-2-2-2-21-2-21-2-20-2-201-21-20-2-2000110011110000
χ46222222-122-1220-2-20-12-120-2-2000110011-1-10000-2-2-2-2-2-21-2-21-2-202201-21-2022000-1-100-1-1110000
χ472-2-2-22222-2-2-2200002-2-220000000000002-20000-2222-2-2-2-2222-20000-222-2000000000000-220000
χ482-2-2-2222-11-2-22000021-2-10000−i3i300−i3i300-110000-2222-2-2-21-122-20000-2-1210000i3−i300i3−i3001-10000
χ492-2-2-2222-11-2-22000021-2-10000i3−i300i3−i300-110000-2222-2-2-21-122-20000-2-1210000−i3i300−i3i3001-10000
χ502-2-2-222-12-21-220000-1-2120000003−3003−3-110000-2222-2-21-22-12-2000012-1-2000000−3300−331-10000
χ512-2-2-222-12-21-220000-1-212000000−3300−33-110000-2222-2-21-22-12-2000012-1-20000003−3003−31-10000
χ52333-1-133003-1-131-13-10-10-11-1-1001100-1-1001-11-1-3-3-311-3-300-311-3-11-310101-11100-1-1001100-11-11
χ53333-1-133003-1-13-113-10-10-1-11-100-1-1001100-11-11-3-3-311-3-300-311-31-1-3101011-11001100-1-1001-11-1
χ54333-1-133003-1-1-31-1-3-10-1011-11001100-1-100-11-11-3-3-311-3-300-3113-1131010-1-11-100-1-10011001-11-1
χ55333-1-133003-1-1-3-11-3-10-101-11100-1-10011001-11-1-3-3-311-3-300-31131-131010-11-1-1001100-1-100-11-11
χ5633-133-10330-1-1133-10-10-11-1-1-11100-1-1000011-1-1-3-31-3-310-3-3011-1-3-310101-1111-1-100110000-1-111
χ5733-133-10330-1-11-3-3-10-10-1111-11100-1-10000-1-111-3-31-3-310-3-3011-13310101-1-1-11-1-10011000011-1-1
χ5833-133-10330-1-1-13310-10-1-1-1-11-1-100110000-1-111-3-31-3-310-3-30111-3-3-10101111-11100-1-1000011-1-1
χ5933-133-10330-1-1-1-3-310-10-1-1111-1-10011000011-1-1-3-31-3-310-3-3011133-101011-1-1-11100-1-10000-1-111
χ60444444-2-2-2-2440000-2-2-2-2000000000000110000-4-4-4-4-4-42222-4-400002222000000000000-1-10000
χ614-4-4-444-2-222-440000-222-20000000000001-10000-4444-4-422-2-24-400002-2-22000000000000-110000
χ62666-2-26-300-3-2-202-20101002-2000-1-10011000000-6-6-622-63003220-220-10-100-220001100-1-1000000
χ63666-2-26-300-3-2-20-22010100-220001100-1-1000000-6-6-622-630032202-20-10-1002-2000-1-10011000000
χ6466-266-20-3-30-2-2200-20101200-2-1-1001100000000-6-62-6-62033022-20020-10-1-20021100-1-100000000
χ6566-266-20-3-30-2-2-20020101-20021100-1-100000000-6-62-6-62033022200-20-10-1200-2-1-1001100000000
χ666-62-66-206-602-20000020-2000000000000000000-66-26-620-660-2200000-202000000000000000000
χ676-62-66-20-3302-200000-1010000−i3i300i3−i300000000-66-26-6203-30-220000010-10000i3−i300−i3i300000000
χ686-62-66-20-3302-200000-1010000i3−i300−i3i300000000-66-26-6203-30-220000010-10000−i3i300i3−i300000000
χ696-6-62-26600-62-20000-2020000000000000000000-666-22-6-6006-22000020-20000000000000000000
χ706-6-62-26-30032-2000010-100000003−300−33000000-666-22-6300-3-220000-1010000000−33003−3000000
χ716-6-62-26-30032-2000010-10000000−33003−3000000-666-22-6300-3-220000-10100000003−300−33000000
χ7299-3-3-3-300001133-3-30000-1-11100000000001-1-11-9-933330000-1-1-3-333000011-1-10000000000-111-1
χ7399-3-3-3-30000113-33-30000-11-110000000000-111-1-9-933330000-1-1-33-3300001-11-100000000001-1-11
χ7499-3-3-3-3000011-33-3300001-11-10000000000-111-1-9-933330000-1-13-33-30000-11-1100000000001-1-11
χ7599-3-3-3-3000011-3-333000011-1-100000000001-1-11-9-933330000-1-133-3-30000-1-1110000000000-111-1
χ7618-1866-6-60000-2200000000000000000000000000-1818-6-66600002-200000000000000000000000000

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