Finite Group Databasebeta

← Group #11899692

Character table — Group #11899692

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1122222222244444444444444444444444888888888888888888888818181818181818182424242424242424363636364848484848484848
order12233446688366681212121212121616161624242424242424246122424242448484848484848484848484848484848224416161616222222448816166666661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-11-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-1-1-1-1111-11
χ51111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11-1-1-1111-1-111-11-1-1-11
χ61111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1111-111-1-1-1-11-1111-1
χ71111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-1
χ81111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-111
χ911-111-1111111-1-11-1-1-1111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111111-1111-1-1-11-1-1-11-1111-1-1-1
χ1011-111-1111111-1-11-1-1-1111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11111-11-1-1-11111-1-1-1-11-1-1-1111
χ1111-111-1111111-1-11-1-1-1111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11-11-1-11-11-11111-11-1-11-11
χ1211-111-1111111-1-11-1-1-1111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-11-111-11-1-1111-11-111-11-1
χ1311-111-1111111-1-11-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-11-1-11-111-11-1111-1-11-111-1
χ1411-111-1111111-1-11-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-1-111-11-1-111-111-111-11-1-11
χ1511-111-1111111-1-11-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1111111-1-1-11-111-11-1-11-1-1-11-111
χ1611-111-1111111-1-11-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-111111-1111-11-1-1-11-1-1-1111-11-1-1
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
χ232222-1222-122-12-1-122-12-1-1-1222222-1-1-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-100000000000222020000000-1-1-10-1
χ242222-1222-122-12-1-122-12-1-1-1222222-1-1-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-100000000000-2-2-20-2000000011101
χ252222-1222-122-12-1-122-12-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-2111-2111-2111-2111000000000002-2-2020000000-1110-1
χ262222-1222-122-12-1-122-12-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-2111-2111-2111-211100000000000-2220-200000001-1-101
χ27222-1222-1222-1-12-12-12-12-1-12222-1-122-1-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-100000000222000200000-1-1-1000-10
χ28222-1222-1222-1-12-12-12-12-1-12222-1-122-1-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-100000000-2-2-2000-20000011100010
χ29222-1222-1222-1-12-12-12-12-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-11-2111-2111-2111-2110000000022-2000-200000-1-1100010
χ30222-1222-1222-1-12-12-12-12-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-11-2111-2111-2111-21100000000-2-2200020000011-1000-10
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
χ3722-22-1-222-122-1-21-1-2-212-1-1-122-2-222-1-1-1-1-1-111-21112-1-1-12-1-1-1-2111-21110000000000022-20-20000000-1-1101
χ3822-22-1-222-122-1-21-1-2-212-1-1-122-2-222-1-1-1-1-1-111-21112-1-1-12-1-1-1-2111-211100000000000-2-2202000000011-10-1
χ3922-22-1-222-122-1-21-1-2-212-1-1-1-2-22222-1-1-1-1-1-111-2111-2111-21112-1-1-12-1-1-1000000000002-220-20000000-11-101
χ4022-22-1-222-122-1-21-1-2-212-1-1-1-2-22222-1-1-1-1-1-111-2111-2111-21112-1-1-12-1-1-100000000000-22-20200000001-110-1
χ4122-2-12-22-1222-11-2-1-21-2-12-1-122-2-2-1-122-1-1-1-1111-211-12-1-1-12-1-11-2111-211000000002-22000-200000-11-100010
χ4222-2-12-22-1222-11-2-1-21-2-12-1-122-2-2-1-122-1-1-1-1111-211-12-1-1-12-1-11-2111-21100000000-22-20002000001-11000-10
χ4322-2-12-22-1222-11-2-1-21-2-12-1-1-2-222-1-122-1-1-1-1111-2111-2111-211-12-1-1-12-1-1000000002-2-2000200000-111000-10
χ4422-2-12-22-1222-11-2-1-21-2-12-1-1-2-222-1-122-1-1-1-1111-2111-2111-211-12-1-1-12-1-100000000-222000-2000001-1-100010
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.