Finite Group Databasebeta

← Group #11922210

Character table — Group #11922210

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11222334444666881212121212121212121212121212161616242424242424242432323232363648487272727296
order1234622412121246636244444668121212121236124412121212121212121212482424248812
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111-11111-111111111111111111111-1-1-1-1-1-1-1-1-1
χ31111111111111111-11-11-1-1-1-11111-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-11
χ41111111111111111-11-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1
χ51111111-11-1-1111111-1111111-11-1-111111-1-11-1-11-1-1-11-1-11-1-1-111-1-11
χ61111111-11-1-1111111-11-1111111-1-111111-1-11-1-11-1-1-11-1-1-1111-1-111-1
χ71111111-11-1-111111-1-1-11-1-1-1-1-11-1-1-1-111111-111-111-11-1-11-1-1-1-1-1111
χ81111111-11-1-111111-1-1-1-1-1-1-1-111-1-1-1-111111-111-111-11-1-1-111111-1-1-1
χ922222222222222-1-102020000222200-1-1-100000000-1-1-1-122-1-10000-1
χ1022222222222222-1-1020-20000-222200-1-1-100000000-1-1-1-1-2-21100001
χ112222222-22-2-2222-1-10-2020000-22-2-200-1-1-1000000001-1112-2110000-1
χ122222222-22-2-2222-1-10-20-2000022-2-200-1-1-1000000001-111-22-1-100001
χ13222-22220-200-2222220-20-22220-2002222-200-200-2000-200000000000
χ14222-22220-200-22222-20202-2-2-20-200-2-222-2002002000-200000000000
χ1522-12-1222-1-1-12-1-122222022-1-10-1-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-1000000000
χ1622-12-1222-1-1-12-1-122-22-20-2-2110-1-1-111-1-12-2-21111112-1-1-1000000000
χ1722-12-122-2-1112-1-1222-22022-1-10-111-1-1-1-12-2-2-111-111-2-111000000000
χ1822-12-122-2-1112-1-122-2-2-20-2-2110-11111-1-12221-1-11-1-1-2-111000000000
χ1922-1-2-12201−i3i3-2-1-12220-20-22-1-101−i3i3-1-1-1-1-2001−i3i31−i3i301−i3i3000000000
χ2022-1-2-12201−i3i3-2-1-122-20202-21101−i3i311-1-1-200-1i3−i3-1i3−i301−i3i3000000000
χ2122-1-2-12201i3−i3-2-1-12220-20-22-1-101i3−i3-1-1-1-1-2001i3−i31i3−i301i3−i3000000000
χ2222-1-2-12201i3−i3-2-1-122-20202-21101i3−i311-1-1-200-1−i3i3-1−i3i301i3−i3000000000
χ2333333-1-13333-1-1-1001-113-1-1113-1-1-1-1-10001-1111-1-1-10000-1-1001-11-10
χ2433333-1-13333-1-1-1001-11-3-1-111-3-1-1-1-1-10001-1111-1-1-100001100-11-110
χ2533333-1-13333-1-1-100-1-1-1311-1-13-1-1-111000-11-1-1-11110000-1-100-11-110
χ2633333-1-13333-1-1-100-1-1-1-311-1-1-3-1-1-111000-11-1-1-1111000011001-11-10
χ2733333-1-1-33-3-3-1-1-1001113-1-111-3-111-1-1000-111-1-1-1110000-11001-1-110
χ2833333-1-1-33-3-3-1-1-100111-3-1-1113-111-1-1000-111-1-1-11100001-100-111-10
χ2933333-1-1-33-3-3-1-1-100-11-1311-1-1-3-111110001-1-1111-1-10000-1100-111-10
χ3033333-1-1-33-3-3-1-1-100-11-1-311-1-13-111110001-1-1111-1-100001-1001-1-110
χ31444-44440-400-444-2-2000000000-40000-2-22000000000200000000000
χ3244-24-2444-2-2-24-2-2-2-2040000000-2-2-20011-200000000-2111000000000
χ3344-24-244-4-2224-2-2-2-20-40000000-2220011-20000000021-1-1000000000
χ3444-2-4-24402−2i32i3-4-2-2-2-20000000002−2i32i300112000000000-1i3−i3000000000
χ3544-2-4-244022i3−2i3-4-2-2-2-200000000022i3−2i300112000000000-1−i3i3000000000
χ364-440-4-44000004-44-4000000000000004-40000000000000000000000
χ374-440-4-44000004-4-2200000000000000-22000000000000000i6−i600000
χ384-440-4-44000004-4-2200000000000000-22000000000000000−i6i600000
χ394-4-202-4400000-224-4000000−2i32i30000−2i32i3-220000000000000000000000
χ404-4-202-4400000-224-40000002i3−2i300002i3−2i3-220000000000000000000000
χ41666-66-2-20-6002-2-20020-202-2220200-2-200000-2002000000000000000
χ42666-66-2-20-6002-2-200-2020-22-2-202002200000200-2000000000000000
χ4366-36-3-2-26-3-3-3-211002-220-2-2-1-10111110002-2-1-1-11110000000000000
χ4466-36-3-2-26-3-3-3-21100-2-2-2022110111-1-1000-22111-1-1-10000000000000
χ4566-36-3-2-2-6-333-211002220-2-2-1-101-1-111000-22-1111-1-10000000000000
χ4666-36-3-2-2-6-333-21100-22-20221101-1-1-1-10002-21-1-1-1110000000000000
χ4766-3-6-3-2-203−3i33i32110020-202-2-1-10-1i3−i311000001−i3i3-1i3−i30000000000000
χ4866-3-6-3-2-203−3i33i321100-2020-22110-1i3−i3-1-100000-1i3−i31−i3i30000000000000
χ4966-3-6-3-2-2033i3−3i32110020-202-2-1-10-1−i3i311000001i3−i3-1−i3i30000000000000
χ5066-3-6-3-2-2033i3−3i321100-2020-22110-1−i3i3-1-100000-1−i3i31i3−i30000000000000
χ518-8-404-8800000-44-44000000000000002-20000000000000000000000
χ5212-12120-124-400000-440000000000000000000000000000000000000000
χ5312-12-6064-4000002-200000000−2i32i300002i3−2i3000000000000000000000000
χ5412-12-6064-4000002-2000000002i3−2i30000−2i32i3000000000000000000000000

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