Finite Group Databasebeta

← Group #6307

Character table — Group #6307

Order 216.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size112222222222222222218181122222222222222222181811222222222222222221818
order12233336666666666662436633336666666666666123663333666666666666612
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111-1-11111111111111111111-1-11111111111111111111-1-1
χ311-111111111-1-1-1-1-1-1-1-11-111-111111111-1-1-1-1-1-1-1-11-111-111111111-1-1-1-1-1-1-1-11-1
χ411-111111111-1-1-1-1-1-1-1-1-1111-111111111-1-1-1-1-1-1-1-1-1111-111111111-1-1-1-1-1-1-1-1-11
χ52222-1-1-12-1-1-122-1-1-1-1-1-1002222-1-1-12-1-1-122-1-1-1-1-1-1002222-1-1-12-1-1-122-1-1-1-1-1-100
χ6222-12-1-1-12-1-1-1-122-1-1-1-100222-12-1-1-12-1-1-1-122-1-1-1-100222-12-1-1-12-1-1-1-122-1-1-1-100
χ7222-1-12-1-1-12-1-1-1-1-122-1-100222-1-12-1-1-12-1-1-1-1-122-1-100222-1-12-1-1-12-1-1-1-1-122-1-100
χ8222-1-1-12-1-1-12-1-1-1-1-1-12200222-1-1-12-1-1-12-1-1-1-1-1-12200222-1-1-12-1-1-12-1-1-1-1-1-12200
χ922-22-1-1-12-1-1-1-2-21111110022-22-1-1-12-1-1-1-2-21111110022-22-1-1-12-1-1-1-2-211111100
χ1022-2-12-1-1-12-1-111-2-211110022-2-12-1-1-12-1-111-2-211110022-2-12-1-1-12-1-111-2-2111100
χ1122-2-1-12-1-1-12-11111-2-2110022-2-1-12-1-1-12-11111-2-2110022-2-1-12-1-1-12-11111-2-21100
χ1222-2-1-1-12-1-1-12111111-2-20022-2-1-1-12-1-1-12111111-2-20022-2-1-1-12-1-1-12111111-2-200
χ132-202222-2-2-2-200000000002-202222-2-2-2-200000000002-202222-2-2-2-20000000000
χ142-202-1-1-1-211100i3−i3i3−i3i3−i3002-202-1-1-1-211100i3−i3i3−i3i3−i3002-202-1-1-1-211100i3−i3i3−i3i3−i300
χ152-202-1-1-1-211100−i3i3−i3i3−i3i3002-202-1-1-1-211100−i3i3−i3i3−i3i3002-202-1-1-1-211100−i3i3−i3i3−i3i300
χ162-20-12-1-11-211i3−i300i3−i3−i3i3002-20-12-1-11-211i3−i300i3−i3−i3i3002-20-12-1-11-211i3−i300i3−i3−i3i300
χ172-20-12-1-11-211−i3i300−i3i3i3−i3002-20-12-1-11-211−i3i300−i3i3i3−i3002-20-12-1-11-211−i3i300−i3i3i3−i300
χ182-20-1-12-111-21i3−i3−i3i300i3−i3002-20-1-12-111-21i3−i3−i3i300i3−i3002-20-1-12-111-21i3−i3−i3i300i3−i300
χ192-20-1-12-111-21−i3i3i3−i300−i3i3002-20-1-12-111-21−i3i3i3−i300−i3i3002-20-1-12-111-21−i3i3i3−i300−i3i300
χ202-20-1-1-12111-2i3−i3i3−i3−i3i300002-20-1-1-12111-2i3−i3i3−i3−i3i300002-20-1-1-12111-2i3−i3i3−i3−i3i30000
χ212-20-1-1-12111-2−i3i3−i3i3i3−i300002-20-1-1-12111-2−i3i3−i3i3i3−i300002-20-1-1-12111-2−i3i3−i3i3i3−i30000
χ22111111111111111111111−1+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+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−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
χ231111111111111111111-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ2411-111111111-1-1-1-1-1-1-1-11-1−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32
χ2511-111111111-1-1-1-1-1-1-1-1-11−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32
χ262222-1-1-12-1-1-122-1-1-1-1-1-100−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200
χ27222-12-1-1-12-1-1-1-122-1-1-1-100−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i3200−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i3200
χ28222-1-12-1-1-12-1-1-1-1-122-1-100−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i3200−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i3200
χ29222-1-1-12-1-1-12-1-1-1-1-1-12200−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i300−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i300
χ3022-22-1-1-12-1-1-1-2-211111100−1+i3−1+i31−i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200−1−i3−1−i31+i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200
χ3122-2-12-1-1-12-1-111-2-2111100−1+i3−1+i31−i31−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i3200−1−i3−1−i31+i31+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i3200
χ3222-2-1-12-1-1-12-11111-2-21100−1+i3−1+i31−i31−i321−i32−1+i31−i321−i321−i32−1+i31−i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i3200−1−i3−1−i31+i31+i321+i32−1−i31+i321+i321+i32−1−i31+i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i3200
χ3322-2-1-1-12-1-1-12111111-2-200−1+i3−1+i31−i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i300−1−i3−1−i31+i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i300
χ342-202222-2-2-2-20000000000−1+i31−i30−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000000000−1−i31+i30−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000000000
χ352-202-1-1-1-211100i3−i3i3−i3i3−i300−1+i31−i30−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i3200−3−i323+i32−3−i323+i32−3−i323+i3200−1−i31+i30−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i32003−i32−3+i323−i32−3+i323−i32−3+i3200
χ362-202-1-1-1-211100−i3i3−i3i3−i3i300−1+i31−i30−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i32003+i32−3−i323+i32−3−i323+i32−3−i3200−1−i31+i30−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i3200−3+i323−i32−3+i323−i32−3+i323−i3200
χ372-20-12-1-11-211i3−i300i3−i3−i3i300−1+i31−i301−i32−1+i31−i321−i32−1+i321−i3−1+i32−1+i32−3−i323+i3200−3−i323+i323+i32−3−i3200−1−i31+i301+i32−1−i31+i321+i32−1−i321+i3−1−i32−1−i323−i32−3+i32003−i32−3+i32−3+i323−i3200
χ382-20-12-1-11-211−i3i300−i3i3i3−i300−1+i31−i301−i32−1+i31−i321−i32−1+i321−i3−1+i32−1+i323+i32−3−i32003+i32−3−i32−3−i323+i3200−1−i31+i301+i32−1−i31+i321+i32−1−i321+i3−1−i32−1−i32−3+i323−i3200−3+i323−i323−i32−3+i3200
χ392-20-1-12-111-21i3−i3−i3i300i3−i300−1+i31−i301−i321−i32−1+i31−i32−1+i32−1+i321−i3−1+i32−3−i323+i323+i32−3−i3200−3−i323+i3200−1−i31+i301+i321+i32−1−i31+i32−1−i32−1−i321+i3−1−i323−i32−3+i32−3+i323−i32003−i32−3+i3200
χ402-20-1-12-111-21−i3i3i3−i300−i3i300−1+i31−i301−i321−i32−1+i31−i32−1+i32−1+i321−i3−1+i323+i32−3−i32−3−i323+i32003+i32−3−i3200−1−i31+i301+i321+i32−1−i31+i32−1−i32−1−i321+i3−1−i32−3+i323−i323−i32−3+i3200−3+i323−i3200
χ412-20-1-1-12111-2i3−i3i3−i3−i3i30000−1+i31−i301−i321−i321−i32−1+i3−1+i32−1+i32−1+i321−i3−3−i323+i32−3−i323+i323+i32−3−i320000−1−i31+i301+i321+i321+i32−1−i3−1−i32−1−i32−1−i321+i33−i32−3+i323−i32−3+i32−3+i323−i320000
χ422-20-1-1-12111-2−i3i3−i3i3i3−i30000−1+i31−i301−i321−i321−i32−1+i3−1+i32−1+i32−1+i321−i33+i32−3−i323+i32−3−i32−3−i323+i320000−1−i31+i301+i321+i321+i32−1−i3−1−i32−1−i32−1−i321+i3−3+i323−i32−3+i323−i323−i32−3+i320000
χ43111111111111111111111−1−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−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+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
χ441111111111111111111-1-1−1−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−i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ4511-111111111-1-1-1-1-1-1-1-11-1−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32
χ4611-111111111-1-1-1-1-1-1-1-1-11−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32
χ472222-1-1-12-1-1-122-1-1-1-1-1-100−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200
χ48222-12-1-1-12-1-1-1-122-1-1-1-100−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i3200−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i3200
χ49222-1-12-1-1-12-1-1-1-1-122-1-100−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i3200−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i3200
χ50222-1-1-12-1-1-12-1-1-1-1-1-12200−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i300−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i300
χ5122-22-1-1-12-1-1-1-2-211111100−1−i3−1−i31+i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200−1+i3−1+i31−i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200
χ5222-2-12-1-1-12-1-111-2-2111100−1−i3−1−i31+i31+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i3200−1+i3−1+i31−i31−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i3200
χ5322-2-1-12-1-1-12-11111-2-21100−1−i3−1−i31+i31+i321+i32−1−i31+i321+i321+i32−1−i31+i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i3200−1+i3−1+i31−i31−i321−i32−1+i31−i321−i321−i32−1+i31−i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i3200
χ5422-2-1-1-12-1-1-12111111-2-200−1−i3−1−i31+i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i300−1+i3−1+i31−i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i300
χ552-202222-2-2-2-20000000000−1−i31+i30−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000000000−1+i31−i30−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000000000
χ562-202-1-1-1-211100i3−i3i3−i3i3−i300−1−i31+i30−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i32003−i32−3+i323−i32−3+i323−i32−3+i3200−1+i31−i30−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i3200−3−i323+i32−3−i323+i32−3−i323+i3200
χ572-202-1-1-1-211100−i3i3−i3i3−i3i300−1−i31+i30−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i3200−3+i323−i32−3+i323−i32−3+i323−i3200−1+i31−i30−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i32003+i32−3−i323+i32−3−i323+i32−3−i3200
χ582-20-12-1-11-211i3−i300i3−i3−i3i300−1−i31+i301+i32−1−i31+i321+i32−1−i321+i3−1−i32−1−i323−i32−3+i32003−i32−3+i32−3+i323−i3200−1+i31−i301−i32−1+i31−i321−i32−1+i321−i3−1+i32−1+i32−3−i323+i3200−3−i323+i323+i32−3−i3200
χ592-20-12-1-11-211−i3i300−i3i3i3−i300−1−i31+i301+i32−1−i31+i321+i32−1−i321+i3−1−i32−1−i32−3+i323−i3200−3+i323−i323−i32−3+i3200−1+i31−i301−i32−1+i31−i321−i32−1+i321−i3−1+i32−1+i323+i32−3−i32003+i32−3−i32−3−i323+i3200
χ602-20-1-12-111-21i3−i3−i3i300i3−i300−1−i31+i301+i321+i32−1−i31+i32−1−i32−1−i321+i3−1−i323−i32−3+i32−3+i323−i32003−i32−3+i3200−1+i31−i301−i321−i32−1+i31−i32−1+i32−1+i321−i3−1+i32−3−i323+i323+i32−3−i3200−3−i323+i3200
χ612-20-1-12-111-21−i3i3i3−i300−i3i300−1−i31+i301+i321+i32−1−i31+i32−1−i32−1−i321+i3−1−i32−3+i323−i323−i32−3+i3200−3+i323−i3200−1+i31−i301−i321−i32−1+i31−i32−1+i32−1+i321−i3−1+i323+i32−3−i32−3−i323+i32003+i32−3−i3200
χ622-20-1-1-12111-2i3−i3i3−i3−i3i30000−1−i31+i301+i321+i321+i32−1−i3−1−i32−1−i32−1−i321+i33−i32−3+i323−i32−3+i32−3+i323−i320000−1+i31−i301−i321−i321−i32−1+i3−1+i32−1+i32−1+i321−i3−3−i323+i32−3−i323+i323+i32−3−i320000
χ632-20-1-1-12111-2−i3i3−i3i3i3−i30000−1−i31+i301+i321+i321+i32−1−i3−1−i32−1−i32−1−i321+i3−3+i323−i32−3+i323−i323−i32−3+i320000−1+i31−i301−i321−i321−i32−1+i3−1+i32−1+i32−1+i321−i33+i32−3−i323+i32−3−i32−3−i323+i320000

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