Finite Group Databasebeta

← Group #11899783

Character table — Group #11899783

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1122222222244444444444444444444444888888888888888888888818181818181818182424242424242424363636364848484848484848
order122334466883666812121212121216161616242424242424242461224242424484848484848484848484848484848482244161616162244444488161666121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-11-1111-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-1-1-11-1-1-1111
χ51111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-111-111-1-11-11-1-111-1
χ61111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-111-1-1111-1-1-11-111-1-11
χ71111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-111111-1-1-1-11
χ81111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-111-1-1-11111-1
χ911-111-1111111-1-11-1-1-1111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1111111-11-11-1-11-1-1-111-11-11-1-1
χ1011-111-1111111-1-11-1-1-1111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-11-11-1111-1-1-1-1-11-11-111
χ1111-111-1111111-1-11-1-1-1111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11-1-11-1-111-11111-1-11-1-111
χ1211-111-1111111-1-11-1-1-1111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111-111-1-1-1111-111-111-1-1
χ1311-111-1111111-1-11-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-11-1-1-111-111-1111-1-1-111-11
χ1411-111-1111111-1-11-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-1-1111-1-11-11-111-1111-1-11-1
χ1511-111-1111111-1-11-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11111111-1-11-11-1-11-1-111-1-11-11-1
χ1611-111-1111111-1-11-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-111111-1-111-11-11-11-1-1-1-111-11-11
χ17222222222-2-22222-22222220000-2-2-2-2-2-2-2-222-2-2-2-200000000000000002222000000000000-2-20000000000
χ18222222222-2-22222-22222220000-2-2-2-2-2-2-2-222-2-2-2-20000000000000000-2-2-2-2000000000000220000000000
χ1922222-2-2220022220-2-2-2-2-2-22−22−2000000002-200002222−2−2−2−22222−2−2−2−22-2-2222−2−200000000002−200000000
χ2022222-2-2220022220-2-2-2-2-2-22−22−2000000002-200002222−2−2−2−22222−2−2−2−2-222-2−2−2220000000000−2200000000
χ2122222-2-2220022220-2-2-2-2-2-2−22−22000000002-20000−2−2−2−22222−2−2−2−222222-2-22−2−2220000000000−2200000000
χ2222222-2-2220022220-2-2-2-2-2-2−22−22000000002-20000−2−2−2−22222−2−2−2−22222-222-222−2−200000000002−200000000
χ232222-1222-122-12-1-122-12-1-1-1222222-1-1-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1000000000200022200000-1000-1-1-1
χ242222-1222-122-12-1-122-12-1-1-1222222-1-1-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1000000000-2000-2-2-2000001000111
χ252222-1222-122-12-1-122-12-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-2111-2111-2111-21110000000002000-2-2200000-100011-1
χ262222-1222-122-12-1-122-12-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-2111-2111-2111-2111000000000-200022-2000001000-1-11
χ27222-1222-1222-1-12-12-12-12-1-12222-1-122-1-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-100000000202220000000-10-1-1-1000
χ28222-1222-1222-1-12-12-12-12-1-12222-1-122-1-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-100000000-20-2-2-2000000010111000
χ29222-1222-1222-1-12-12-12-12-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-11-2111-2111-2111-21100000000202-2-20000000-10-111000
χ30222-1222-1222-1-12-12-12-12-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-11-2111-2111-2111-21100000000-20-2220000000101-1-1000
χ3122-2222-222002-2-22022-2-2-2-22−2−2200000000-2200002222−2−2−2−2−2−2−2−2222222-2-222−2−20000000000−2200000000
χ3222-2222-222002-2-22022-2-2-2-22−2−2200000000-2200002222−2−2−2−2−2−2−2−22222-2-222−2−22200000000002−200000000
χ3322-2222-222002-2-22022-2-2-2-2−222−200000000-220000−2−2−2−222222222−2−2−2−222-2-2−2−22200000000002−200000000
χ3422-2222-222002-2-22022-2-2-2-2−222−200000000-220000−2−2−2−222222222−2−2−2−2-2-22222−2−20000000000−2200000000
χ3522-222-2222-2-22-2-222-2-222220000-2-2-2-2-2-2-2-2-2-2222200000000000000002-22-2000000000000-220000000000
χ3622-222-2222-2-22-2-222-2-222220000-2-2-2-2-2-2-2-2-2-222220000000000000000-22-220000000000002-20000000000
χ3722-22-1-222-122-1-21-1-2-212-1-1-122-2-222-1-1-1-1-1-111-21112-1-1-12-1-1-1-2111-211100000000020002-2-200000-1000-111
χ3822-22-1-222-122-1-21-1-2-212-1-1-122-2-222-1-1-1-1-1-111-21112-1-1-12-1-1-1-2111-2111000000000-2000-2220000010001-1-1
χ3922-22-1-222-122-1-21-1-2-212-1-1-1-2-22222-1-1-1-1-1-111-2111-2111-21112-1-1-12-1-1-10000000002000-22-200000-10001-11
χ4022-22-1-222-122-1-21-1-2-212-1-1-1-2-22222-1-1-1-1-1-111-2111-2111-21112-1-1-12-1-1-1000000000-20002-22000001000-11-1
χ4122-2-12-22-1222-11-2-1-21-2-12-1-122-2-2-1-122-1-1-1-1111-211-12-1-1-12-1-11-2111-2110000000020-22-20000000-101-11000
χ4222-2-12-22-1222-11-2-1-21-2-12-1-122-2-2-1-122-1-1-1-1111-211-12-1-1-12-1-11-2111-21100000000-202-22000000010-11-1000
χ4322-2-12-22-1222-11-2-1-21-2-12-1-1-2-222-1-122-1-1-1-1111-2111-2111-211-12-1-1-12-1-10000000020-2-220000000-1011-1000
χ4422-2-12-22-1222-11-2-1-21-2-12-1-1-2-222-1-122-1-1-1-1111-2111-2111-211-12-1-1-12-1-100000000-2022-2000000010-1-11000
χ454444-2444-2-4-4-24-2-2-44-24-2-2-20000-4-4222222-2-2-422200000000000000000000000000000000000000000000
χ464444-2-4-44-200-24-2-20-42-422222−2222−2200000000-22000022−2−2−2−2222222−2−2−2−222220000000000000000000000000000
χ474444-2-4-44-200-24-2-20-42-4222−2222−222200000000-220000−2222222−2−2−2−2222222−2−2−20000000000000000000000000000
χ48444-2444-24-4-4-2-24-2-4-24-24-2-2000022-4-42222-2-22-42200000000000000000000000000000000000000000000
χ49444-24-4-4-2400-2-24-202-42-42222−2222−2200000000-220000−222−2−22−2222−222−2−22−22220000000000000000000000000000
χ50444-24-4-4-2400-2-24-202-42-422−2222−222200000000-2200002−2222−222−2−22−2222−222−2−20000000000000000000000000000
χ51444-2-244-2-2441-2-214-2-2-2-2114444-2-2-2-2111111-2-211-2-211-2-211-2-211-2-2110000000000000000000000000000
χ52444-2-244-2-2441-2-214-2-2-2-211-4-4-4-4-2-2-2-2111111-2-21122-1-122-1-122-1-122-1-10000000000000000000000000000
χ53444-2-244-2-2-4-41-2-21-4-2-2-2-21100002222-1-1-1-11122-1-1003i−3i003i−3i003i−3i003i−3i0000000000000000000000000000
χ54444-2-244-2-2-4-41-2-21-4-2-2-2-21100002222-1-1-1-11122-1-100−3i3i00−3i3i00−3i3i00−3i3i0000000000000000000000000000
χ55444-2-2-4-4-2-2001-2-2102222-1-122−2222−2200003i3i−3i−3i1-1003i−3i−2−22ζ2+ζ6−ζ2−2ζ622−2ζ2−ζ6ζ2+2ζ6−2−22ζ2+ζ6−ζ2−2ζ622−2ζ2−ζ6ζ2+2ζ60000000000000000000000000000
χ56444-2-2-4-4-2-2001-2-2102222-1-122−2222−220000−3i−3i3i3i1-100−3i3i−2−2−ζ2−2ζ62ζ2+ζ622ζ2+2ζ6−2ζ2−ζ6−2−2−ζ2−2ζ62ζ2+ζ622ζ2+2ζ6−2ζ2−ζ60000000000000000000000000000
χ57444-2-2-4-4-2-2001-2-2102222-1-1−2222−222200003i3i−3i−3i1-1003i−3i22−2ζ2−ζ6ζ2+2ζ6−2−22ζ2+ζ6−ζ2−2ζ622−2ζ2−ζ6ζ2+2ζ6−2−22ζ2+ζ6−ζ2−2ζ60000000000000000000000000000
χ58444-2-2-4-4-2-2001-2-2102222-1-1−2222−22220000−3i−3i3i3i1-100−3i3i22ζ2+2ζ6−2ζ2−ζ6−2−2−ζ2−2ζ62ζ2+ζ622ζ2+2ζ6−2ζ2−ζ6−2−2−ζ2−2ζ62ζ2+ζ60000000000000000000000000000
χ5944-44-24-44-200-2-42-204-2-422222−22−2222000000002-2000022−2−2−2−22222−2222222−2−2−20000000000000000000000000000
χ6044-44-24-44-200-2-42-204-2-4222−222222−22000000002-20000−2222222−2−2−222−2−2−2−222220000000000000000000000000000
χ6144-44-2-444-2-4-4-2-42-24-424-2-2-20000-4-4222222224-2-2-200000000000000000000000000000000000000000000
χ6244-4-244-4-2400-22-4-20-242-42222−22−2222000000002-20000−222−2−22−22222−2222−222−2−20000000000000000000000000000
χ6344-4-244-4-2400-22-4-20-242-422−222222−22000000002-200002−2222−222−2−2−222−2−22−22220000000000000000000000000000
χ6444-4-24-44-24-4-4-22-4-242-4-24-2-2000022-4-4222222-24-2-200000000000000000000000000000000000000000000
χ6544-4-2-24-4-2-20012210-2-222-1-122−22−222200003i3i−3i−3i-1100−3i3i−2−22ζ2+ζ6−ζ2−2ζ622−2ζ2−ζ6ζ2+2ζ622−2ζ2−ζ6ζ2+2ζ6−2−22ζ2+ζ6−ζ2−2ζ60000000000000000000000000000
χ6644-4-2-24-4-2-20012210-2-222-1-122−22−22220000−3i−3i3i3i-11003i−3i−2−2−ζ2−2ζ62ζ2+ζ622ζ2+2ζ6−2ζ2−ζ622ζ2+2ζ6−2ζ2−ζ6−2−2−ζ2−2ζ62ζ2+ζ60000000000000000000000000000
χ6744-4-2-24-4-2-20012210-2-222-1-1−222222−2200003i3i−3i−3i-1100−3i3i22−2ζ2−ζ6ζ2+2ζ6−2−22ζ2+ζ6−ζ2−2ζ6−2−22ζ2+ζ6−ζ2−2ζ622−2ζ2−ζ6ζ2+2ζ60000000000000000000000000000
χ6844-4-2-24-4-2-20012210-2-222-1-1−222222−220000−3i−3i3i3i-11003i−3i22ζ2+2ζ6−2ζ2−ζ6−2−2−ζ2−2ζ62ζ2+ζ6−2−2−ζ2−2ζ62ζ2+ζ622ζ2+2ζ6−2ζ2−ζ60000000000000000000000000000
χ6944-4-2-2-44-2-2441221-422-2-21144-4-4-2-2-2-21111-1-122-1-1-2-211-2-21122-1-122-1-10000000000000000000000000000
χ7044-4-2-2-44-2-2441221-422-2-211-4-444-2-2-2-21111-1-122-1-122-1-122-1-1-2-211-2-2110000000000000000000000000000
χ7144-4-2-2-44-2-2-4-41221422-2-21100002222-1-1-1-1-1-1-2-211003i−3i003i−3i00−3i3i00−3i3i0000000000000000000000000000
χ7244-4-2-2-44-2-2-4-41221422-2-21100002222-1-1-1-1-1-1-2-21100−3i3i00−3i3i003i−3i003i−3i0000000000000000000000000000
χ734-404400-4-422−22400-40000000000022−2222−2222−2222−22000000000000000000000000002ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ500000000000000000000
χ744-404400-4-422−22400-40000000000022−2222−2222−2222−2200000000000000000000000000−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ500000000000000000000
χ754-404400-4-4−2222400-400000000000−2222−2222−2222−2222000000000000000000000000002ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ700000000000000000000
χ764-404400-4-4−2222400-400000000000−2222−2222−2222−222200000000000000000000000000−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ700000000000000000000
χ778-808-400-8442−42-40040000000000042−42−2222−2222−222200000000000000000000000000000000000000000000000000
χ788-808-400-84−4242-400400000000000−424222−2222−2222−2200000000000000000000000000000000000000000000000000
χ798-80-48004-842−42-400400000000000−222242−42−2222−222200000000000000000000000000000000000000000000000000
χ808-80-48004-8−4242-40040000000000022−22−424222−2222−2200000000000000000000000000000000000000000000000000
χ818-80-4-4004442−42200-2000006i−6i0000−2222−22224ζ2+2ζ6−4ζ2−2ζ6−2ζ2−4ζ62ζ2+4ζ600000000000000000000000000000000000000000000000000
χ828-80-4-4004442−42200-200000−6i6i0000−2222−2222−2ζ2−4ζ62ζ2+4ζ64ζ2+2ζ6−4ζ2−2ζ600000000000000000000000000000000000000000000000000
χ838-80-4-40044−4242200-2000006i−6i000022−2222−22−4ζ2−2ζ64ζ2+2ζ62ζ2+4ζ6−2ζ2−4ζ600000000000000000000000000000000000000000000000000
χ848-80-4-40044−4242200-200000−6i6i000022−2222−222ζ2+4ζ6−2ζ2−4ζ6−4ζ2−2ζ64ζ2+2ζ600000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.