Finite Group Databasebeta

← Group #10624300

Character table — Group #10624300

Order 720.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size110152020243011015202024301101520202430110152020243011015202024301101520202430
order122365436636151236636151222266104666663012666663012
χ1111111111111111111111111111111111111111111
χ21-111-11-11-111-11-11-111-11-11-111-11-11-111-11-11-111-11-1
χ34201-1-104201-1-104201-1-104201-1-104201-1-104201-1-10
χ44-2011-104-2011-104-2011-104-2011-104-2011-104-2011-10
χ5511-110-1511-110-1511-110-1511-110-1511-110-1511-110-1
χ65-11-1-1015-11-1-1015-11-1-1015-11-1-1015-11-1-1015-11-1-101
χ760-2001060-2001060-2001060-2001060-2001060-20010
χ81111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ91-111-11-1−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321-111-11-1−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32
χ104201-1-10−2+2i3−1+i30−1+i321−i321−i320−2−2i3−1−i30−1−i321+i321+i3204201-1-10−2+2i3−1+i30−1+i321−i321−i320−2−2i3−1−i30−1−i321+i321+i320
χ114-2011-10−2+2i31−i30−1+i32−1+i321−i320−2−2i31+i30−1−i32−1−i321+i3204-2011-10−2+2i31−i30−1+i32−1+i321−i320−2−2i31+i30−1−i32−1−i321+i320
χ12511-110-1−5+5i32−1+i32−1+i321−i32−1+i3201−i32−5−5i32−1−i32−1−i321+i32−1−i3201+i32511-110-1−5+5i32−1+i32−1+i321−i32−1+i3201−i32−5−5i32−1−i32−1−i321+i32−1−i3201+i32
χ135-11-1-101−5+5i321−i32−1+i321−i321−i320−1+i32−5−5i321+i32−1−i321+i321+i320−1−i325-11-1-101−5+5i321−i32−1+i321−i321−i320−1+i32−5−5i321+i32−1−i321+i321+i320−1−i32
χ1460-20010−3+3i301−i300−1+i320−3−3i301+i300−1−i32060-20010−3+3i301−i300−1+i320−3−3i301+i300−1−i320
χ151111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ161-111-11-1−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321-111-11-1−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32
χ174201-1-10−2−2i3−1−i30−1−i321+i321+i320−2+2i3−1+i30−1+i321−i321−i3204201-1-10−2−2i3−1−i30−1−i321+i321+i320−2+2i3−1+i30−1+i321−i321−i320
χ184-2011-10−2−2i31+i30−1−i32−1−i321+i320−2+2i31−i30−1+i32−1+i321−i3204-2011-10−2−2i31+i30−1−i32−1−i321+i320−2+2i31−i30−1+i32−1+i321−i320
χ19511-110-1−5−5i32−1−i32−1−i321+i32−1−i3201+i32−5+5i32−1+i32−1+i321−i32−1+i3201−i32511-110-1−5−5i32−1−i32−1−i321+i32−1−i3201+i32−5+5i32−1+i32−1+i321−i32−1+i3201−i32
χ205-11-1-101−5−5i321+i32−1−i321+i321+i320−1−i32−5+5i321−i32−1+i321−i321−i320−1+i325-11-1-101−5−5i321+i32−1−i321+i321+i320−1−i32−5+5i321−i32−1+i321−i321−i320−1+i32
χ2160-20010−3−3i301+i300−1−i320−3+3i301−i300−1+i32060-20010−3−3i301+i300−1−i320−3+3i301−i300−1+i320
χ22111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ231-111-11-11-111-11-11-111-11-1-11-1-11-11-11-1-11-11-11-1-11-11
χ244201-1-104201-1-104201-1-10-4-20-1110-4-20-1110-4-20-1110
χ254-2011-104-2011-104-2011-10-420-1-110-420-1-110-420-1-110
χ26511-110-1511-110-1511-110-1-5-1-11-101-5-1-11-101-5-1-11-101
χ275-11-1-1015-11-1-1015-11-1-101-51-1110-1-51-1110-1-51-1110-1
χ2860-2001060-2001060-20010-60200-10-60200-10-60200-10
χ291111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i32
χ301-111-11-1−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32-11-1-11-111−i32−1+i321−i321−i32−1+i321−i32−1+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32
χ314201-1-10−2+2i3−1+i30−1+i321−i321−i320−2−2i3−1−i30−1−i321+i321+i320-4-20-11102−2i31−i301−i32−1+i32−1+i3202+2i31+i301+i32−1−i32−1−i320
χ324-2011-10−2+2i31−i30−1+i32−1+i321−i320−2−2i31+i30−1−i32−1−i321+i320-420-1-1102−2i3−1+i301−i321−i32−1+i3202+2i3−1−i301+i321+i32−1−i320
χ33511-110-1−5+5i32−1+i32−1+i321−i32−1+i3201−i32−5−5i32−1−i32−1−i321+i32−1−i3201+i32-5-1-11-1015−5i321−i321−i32−1+i321−i320−1+i325+5i321+i321+i32−1−i321+i320−1−i32
χ345-11-1-101−5+5i321−i32−1+i321−i321−i320−1+i32−5−5i321+i32−1−i321+i321+i320−1−i32-51-1110-15−5i32−1+i321−i32−1+i32−1+i3201−i325+5i32−1−i321+i32−1−i32−1−i3201+i32
χ3560-20010−3+3i301−i300−1+i320−3−3i301+i300−1−i320-60200-103−3i30−1+i3001−i3203+3i30−1−i3001+i320
χ361111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i32
χ371-111-11-1−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32-11-1-11-111+i32−1−i321+i321+i32−1−i321+i32−1−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32
χ384201-1-10−2−2i3−1−i30−1−i321+i321+i320−2+2i3−1+i30−1+i321−i321−i320-4-20-11102+2i31+i301+i32−1−i32−1−i3202−2i31−i301−i32−1+i32−1+i320
χ394-2011-10−2−2i31+i30−1−i32−1−i321+i320−2+2i31−i30−1+i32−1+i321−i320-420-1-1102+2i3−1−i301+i321+i32−1−i3202−2i3−1+i301−i321−i32−1+i320
χ40511-110-1−5−5i32−1−i32−1−i321+i32−1−i3201+i32−5+5i32−1+i32−1+i321−i32−1+i3201−i32-5-1-11-1015+5i321+i321+i32−1−i321+i320−1−i325−5i321−i321−i32−1+i321−i320−1+i32
χ415-11-1-101−5−5i321+i32−1−i321+i321+i320−1−i32−5+5i321−i32−1+i321−i321−i320−1+i32-51-1110-15+5i32−1−i321+i32−1−i32−1−i3201+i325−5i32−1+i321−i32−1+i32−1+i3201−i32
χ4260-20010−3−3i301+i300−1−i320−3+3i301−i300−1+i320-60200-103+3i30−1−i3001+i3203−3i30−1+i3001−i320

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