Finite Group Databasebeta

← Group #72274929

Character table — Group #72274929

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size112233666666888121212122424243232323232323232323232327272727272727272112233666666888121212122424243232323232323232323232327272727272727272
order1236222222662666666412123336666666662444444422662222226626666664121266666666666624444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111-1-1-11111-1-1-1111111-1-1-1-1-1-11-1-1111-1-1111111111111-1-1-11111-1-1-1111111-1-1-1-1-1-11-1-1111-1-1
χ4111111111111-1-1-11111-1-1-1111111-1-1-1-1-1-1-111-1-1-111111111111111-1-1-11111-1-1-1111111-1-1-1-1-1-1-111-1-1-111
χ52222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000002222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ6222222222222-2-2-22222-2-2-2-1-1-1-1-1-111111100000000222222222222-2-2-22222-2-2-2-1-1-1-1-1-111111100000000
χ722-1-1222222-1-12-1-1-1-1-1-12-1-12-1-12-1-122-1-1-1-10000000022-1-1222222-1-12-1-1-1-1-1-12-1-12-1-12-1-122-1-1-1-100000000
χ822-1-1222222-1-12-1-1-1-1-1-12-1-1-12-1-12-1-1-122-1-10000000022-1-1222222-1-12-1-1-1-1-1-12-1-1-12-1-12-1-1-122-1-100000000
χ922-1-1222222-1-12-1-1-1-1-1-12-1-1-1-12-1-12-1-1-1-1220000000022-1-1222222-1-12-1-1-1-1-1-12-1-1-1-12-1-12-1-1-1-12200000000
χ1022-1-1222222-1-1-211-1-1-1-1-2112-1-12-1-1-2-211110000000022-1-1222222-1-1-211-1-1-1-1-2112-1-12-1-1-2-2111100000000
χ1122-1-1222222-1-1-211-1-1-1-1-211-12-1-12-111-2-2110000000022-1-1222222-1-1-211-1-1-1-1-211-12-1-12-111-2-21100000000
χ1222-1-1222222-1-1-211-1-1-1-1-211-1-12-1-121111-2-20000000022-1-1222222-1-1-211-1-1-1-1-211-1-12-1-121111-2-200000000
χ132-22-2-222-22-2-2200022-2-2000222-2-2-2000000000000002-22-2-222-22-2-2200022-2-2000222-2-2-200000000000000
χ142-22-2-222-22-2-2200022-2-2000-1-1-1111−i3i3−i3i3−i3i3000000002-22-2-222-22-2-2200022-2-2000-1-1-1111−i3i3−i3i3−i3i300000000
χ152-22-2-222-22-2-2200022-2-2000-1-1-1111i3−i3i3−i3i3−i3000000002-22-2-222-22-2-2200022-2-2000-1-1-1111i3−i3i3−i3i3−i300000000
χ162-2-11-222-22-21-10−i3i3-1-1110−i3i32-1-1-21100−i3i3i3−i3000000002-2-11-222-22-21-10−i3i3-1-1110−i3i32-1-1-21100−i3i3i3−i300000000
χ172-2-11-222-22-21-10−i3i3-1-1110−i3i3-12-11-21i3−i300−i3i3000000002-2-11-222-22-21-10−i3i3-1-1110−i3i3-12-11-21i3−i300−i3i300000000
χ182-2-11-222-22-21-10−i3i3-1-1110−i3i3-1-1211-2−i3i3i3−i300000000002-2-11-222-22-21-10−i3i3-1-1110−i3i3-1-1211-2−i3i3i3−i30000000000
χ192-2-11-222-22-21-10i3−i3-1-1110i3−i32-1-1-21100i3−i3−i3i3000000002-2-11-222-22-21-10i3−i3-1-1110i3−i32-1-1-21100i3−i3−i3i300000000
χ202-2-11-222-22-21-10i3−i3-1-1110i3−i3-12-11-21−i3i300i3−i3000000002-2-11-222-22-21-10i3−i3-1-1110i3−i3-12-11-21−i3i300i3−i300000000
χ212-2-11-222-22-21-10i3−i3-1-1110i3−i3-1-1211-2i3−i3−i3i300000000002-2-11-222-22-21-10i3−i3-1-1110i3−i3-1-1211-2i3−i3−i3i30000000000
χ22333333-1-1-1-133333-1-1-1-1-1-1-10000000000001111-1-1-1-1333333-1-1-1-133333-1-1-1-1-1-1-10000000000001111-1-1-1-1
χ23333333-1-1-1-133333-1-1-1-1-1-1-1000000000000-1-1-1-11111333333-1-1-1-133333-1-1-1-1-1-1-1000000000000-1-1-1-11111
χ24333333-1-1-1-133-3-3-3-1-1-1-11110000000000001-1-11-1-111333333-1-1-1-133-3-3-3-1-1-1-11110000000000001-1-11-1-111
χ25333333-1-1-1-133-3-3-3-1-1-1-1111000000000000-111-111-1-1333333-1-1-1-133-3-3-3-1-1-1-1111000000000000-111-111-1-1
χ266666-2-22-2-22-2-20002-22-200000000000000002-2000006666-2-22-2-22-2-20002-22-200000000000000002-200000
χ276666-2-22-2-22-2-20002-22-20000000000000000-22000006666-2-22-2-22-2-20002-22-20000000000000000-2200000
χ286666-2-2-222-2-2-2000-22-22000000000000000200-200006666-2-2-222-2-2-2000-22-22000000000000000200-20000
χ296666-2-2-222-2-2-2000-22-22000000000000000-200200006666-2-2-222-2-2-2000-22-22000000000000000-20020000
χ3066-3-366-2-2-2-2-3-36-3-31111-2110000000000000000000066-3-366-2-2-2-2-3-36-3-31111-21100000000000000000000
χ3166-3-366-2-2-2-2-3-3-63311112-1-10000000000000000000066-3-366-2-2-2-2-3-3-63311112-1-100000000000000000000
χ326-66-62-222-2-22-20002-2-220000000000000000000002i−2i6-66-62-222-2-22-20002-2-220000000000000000000002i−2i
χ336-66-62-222-2-22-20002-2-22000000000000000000000−2i2i6-66-62-222-2-22-20002-2-22000000000000000000000−2i2i
χ346-66-62-2-2-2222-2000-222-200000000000000000002-2006-66-62-2-2-2222-2000-222-200000000000000000002-200
χ356-66-62-2-2-2222-2000-222-20000000000000000000-22006-66-62-2-2-2222-2000-222-20000000000000000000-2200
χ366-66-6-66-22-22-66000-2-222000000000000000000000006-66-6-66-22-22-66000-2-22200000000000000000000000
χ376-6-33-66-22-223-30−3i33i311-1-10i3−i3000000000000000000006-6-33-66-22-223-30−3i33i311-1-10i3−i300000000000000000000
χ386-6-33-66-22-223-303i3−3i311-1-10−i3i3000000000000000000006-6-33-66-22-223-303i3−3i311-1-10−i3i300000000000000000000
χ391212-6-6-4-44-4-4422000-22-22000000000000000000000001212-6-6-4-44-4-4422000-22-2200000000000000000000000
χ401212-6-6-4-4-444-4220002-22-2000000000000000000000001212-6-6-4-4-444-4220002-22-200000000000000000000000
χ4112-12-664-444-4-4-22000-222-20000000000000000000000012-12-664-444-4-4-22000-222-200000000000000000000000
χ4212-12-664-4-4-444-220002-2-220000000000000000000000012-12-664-4-4-444-220002-2-2200000000000000000000000
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ441111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ45111111111111-1-1-11111-1-1-1111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1111111-111-1-1-111
χ46111111111111-1-1-11111-1-1-1111111-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-11111111-1-1111-1-1
χ472222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111100000000
χ48222222222222-2-2-22222-2-2-2-1-1-1-1-1-111111100000000-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2222111111-1-1-1-1-1-100000000
χ4922-1-1222222-1-12-1-1-1-1-1-12-1-12-1-12-1-122-1-1-1-100000000-2-211-2-2-2-2-2-211-2111111-211-211-211-2-2111100000000
χ5022-1-1222222-1-12-1-1-1-1-1-12-1-1-12-1-12-1-1-122-1-100000000-2-211-2-2-2-2-2-211-2111111-2111-211-2111-2-21100000000
χ5122-1-1222222-1-12-1-1-1-1-1-12-1-1-1-12-1-12-1-1-1-12200000000-2-211-2-2-2-2-2-211-2111111-21111-211-21111-2-200000000
χ5222-1-1222222-1-1-211-1-1-1-1-2112-1-12-1-1-2-2111100000000-2-211-2-2-2-2-2-2112-1-111112-1-1-211-21122-1-1-1-100000000
χ5322-1-1222222-1-1-211-1-1-1-1-211-12-1-12-111-2-21100000000-2-211-2-2-2-2-2-2112-1-111112-1-11-211-21-1-122-1-100000000
χ5422-1-1222222-1-1-211-1-1-1-1-211-1-12-1-121111-2-200000000-2-211-2-2-2-2-2-2112-1-111112-1-111-211-2-1-1-1-12200000000
χ552-22-2-222-22-2-2200022-2-2000222-2-2-200000000000000-22-222-2-22-222-2000-2-222000-2-2-222200000000000000
χ562-22-2-222-22-2-2200022-2-2000-1-1-1111−i3i3−i3i3−i3i300000000-22-222-2-22-222-2000-2-222000111-1-1-1i3−i3i3−i3i3−i300000000
χ572-22-2-222-22-2-2200022-2-2000-1-1-1111i3−i3i3−i3i3−i300000000-22-222-2-22-222-2000-2-222000111-1-1-1−i3i3−i3i3−i3i300000000
χ582-2-11-222-22-21-10−i3i3-1-1110−i3i32-1-1-21100−i3i3i3−i300000000-221-12-2-22-22-110i3−i311-1-10i3−i3-2112-1-100i3−i3−i3i300000000
χ592-2-11-222-22-21-10−i3i3-1-1110−i3i3-12-11-21i3−i300−i3i300000000-221-12-2-22-22-110i3−i311-1-10i3−i31-21-12-1−i3i300i3−i300000000
χ602-2-11-222-22-21-10−i3i3-1-1110−i3i3-1-1211-2−i3i3i3−i30000000000-221-12-2-22-22-110i3−i311-1-10i3−i311-2-1-12i3−i3−i3i30000000000
χ612-2-11-222-22-21-10i3−i3-1-1110i3−i32-1-1-21100i3−i3−i3i300000000-221-12-2-22-22-110−i3i311-1-10−i3i3-2112-1-100−i3i3i3−i300000000
χ622-2-11-222-22-21-10i3−i3-1-1110i3−i3-12-11-21−i3i300i3−i300000000-221-12-2-22-22-110−i3i311-1-10−i3i31-21-12-1i3−i300−i3i300000000
χ632-2-11-222-22-21-10i3−i3-1-1110i3−i3-1-1211-2i3−i3−i3i30000000000-221-12-2-22-22-110−i3i311-1-10−i3i311-2-1-12−i3i3i3−i30000000000
χ64333333-1-1-1-133333-1-1-1-1-1-1-10000000000001111-1-1-1-1-3-3-3-3-3-31111-3-3-3-3-31111111000000000000-1-1-1-11111
χ65333333-1-1-1-133333-1-1-1-1-1-1-1000000000000-1-1-1-11111-3-3-3-3-3-31111-3-3-3-3-311111110000000000001111-1-1-1-1
χ66333333-1-1-1-133-3-3-3-1-1-1-11110000000000001-1-11-1-111-3-3-3-3-3-31111-3-33331111-1-1-1000000000000-111-111-1-1
χ67333333-1-1-1-133-3-3-3-1-1-1-1111000000000000-111-111-1-1-3-3-3-3-3-31111-3-33331111-1-1-10000000000001-1-11-1-111
χ686666-2-22-2-22-2-20002-22-200000000000000002-200000-6-6-6-622-222-222000-22-220000000000000000-2200000
χ696666-2-22-2-22-2-20002-22-20000000000000000-2200000-6-6-6-622-222-222000-22-2200000000000000002-200000
χ706666-2-2-222-2-2-2000-22-22000000000000000200-20000-6-6-6-6222-2-22220002-22-2000000000000000-20020000
χ716666-2-2-222-2-2-2000-22-22000000000000000-20020000-6-6-6-6222-2-22220002-22-2000000000000000200-20000
χ7266-3-366-2-2-2-2-3-36-3-31111-21100000000000000000000-6-633-6-6222233-633-1-1-1-12-1-100000000000000000000
χ7366-3-366-2-2-2-2-3-3-63311112-1-100000000000000000000-6-633-6-62222336-3-3-1-1-1-1-21100000000000000000000
χ746-66-62-222-2-22-20002-2-220000000000000000000002i−2i-66-66-22-2-222-22000-222-2000000000000000000000−2i2i
χ756-66-62-222-2-22-20002-2-22000000000000000000000−2i2i-66-66-22-2-222-22000-222-20000000000000000000002i−2i
χ766-66-62-2-2-2222-2000-222-200000000000000000002-200-66-66-2222-2-2-220002-2-220000000000000000000-2200
χ776-66-62-2-2-2222-2000-222-20000000000000000000-2200-66-66-2222-2-2-220002-2-2200000000000000000002-200
χ786-66-6-66-22-22-66000-2-22200000000000000000000000-66-666-62-22-26-600022-2-200000000000000000000000
χ796-6-33-66-22-223-30−3i33i311-1-10i3−i300000000000000000000-663-36-62-22-2-3303i3−3i3-1-1110−i3i300000000000000000000
χ806-6-33-66-22-223-303i3−3i311-1-10−i3i300000000000000000000-663-36-62-22-2-330−3i33i3-1-1110i3−i300000000000000000000
χ811212-6-6-4-44-4-4422000-22-2200000000000000000000000-12-126644-444-4-2-20002-22-200000000000000000000000
χ821212-6-6-4-4-444-4220002-22-200000000000000000000000-12-1266444-4-44-2-2000-22-2200000000000000000000000
χ8312-12-664-444-4-4-22000-222-200000000000000000000000-12126-6-44-4-4442-20002-2-2200000000000000000000000
χ8412-12-664-4-4-444-220002-2-2200000000000000000000000-12126-6-4444-4-42-2000-222-200000000000000000000000

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