Finite Group Databasebeta

← Group #11895692

Character table — Group #11895692

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121212121212161616161616181824242424242436363648487272
order1222334466666688883666121212122424242424242424444412121212246612121212242424244444448888121212121212242424242424242466612121244241212121248861244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-11111111-1-11-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-11-1-111-1-111-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
χ51111111111111111111111111111111111-1-1111111111111111111111-111-1-111-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1111111-1-1-1-1-1-11111111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1111-1-1-1111-1-11-11-1
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111111-1111-1-11-1-1-11-11
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-111-1-111-1-1-1-1-1111-1-1-1-11111-1-111-1-1-1-11111111-1-1-1-1-11-111-1-1-1111-1-11
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1111-1-11111-1-111-1-1-1-11111-1-1-1111-1-1-11-1-111-111-111-1
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111-111-1-111-1-1-1-11-1-1-11111-1-1-1-111-1-11111-1-1-1-1111-1-1-1-1-1-11-1-111-111-11-11
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-11-1-11111-1-1-1-1111-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1111-1-11-111-1-1-1111-11-1
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-111-1-1-11111-1-1-1-1-1-111111111111-1-1-111-1111-1-11-1-1-111-1
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1111111-1-1-1111-1-11-1-11
χ17222222-2-222222200002222-2-2-2-20000000022222222000000-2-20000-200-2000000-2-2-2-2220000000000000022000000-2000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-2-2-2-2-2000000-2-20000200-2000000-2-2222200000000000000-2-20000002000000
χ19222222-2-222222200002222-2-2-2-200000000-2-2222222000000-2-20000-200200000022-2-2-2-200000000000000-2-20000002000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-2-2-2-2-2000000-2-2000020020000002222-2-20000000000000022000000-2000000
χ2122222-122-1-1222-12222-1-1-1-1-12-122222-1-1-1-122000000222222-1-1-1-1-1-10002002200-1-100-1-1-1-1-1-10000-1-1-1-1-1-100220000000-1-100
χ2222222-122-1-1222-12222-1-1-1-1-12-122222-1-1-1-122000000-2-2-2-2-2-2-1-1-1-1-1-10002002200-1-100-1-1-1-1-1-1000011111100-2-200000001100
χ2322222-122-1-1222-12222-1-1-1-1-12-122222-1-1-1-1-2-2000000222222-1-1-1-1-1-1000-200-2-20011001111110000-1-1-1-1-1-100-2-200000001100
χ2422222-122-1-1222-12222-1-1-1-1-12-122222-1-1-1-1-2-2000000-2-2-2-2-2-2-1-1-1-1-1-1000-200-2-2001100111111000011111100220000000-1-100
χ2522222-122-1-1222-1-2-2-2-2-1-1-1-1-12-12-2-2-2-21111220000002-222-2-2-1-11111000200-2-200-1-100-1-111110000-1-1-1111002-20000000-1100
χ2622222-122-1-1222-1-2-2-2-2-1-1-1-1-12-12-2-2-2-2111122000000-22-2-222-1-11111000200-2-200-1-100-1-111110000111-1-1-100-2200000001-100
χ2722222-122-1-1222-1-2-2-2-2-1-1-1-1-12-12-2-2-2-21111-2-20000002-222-2-2-1-11111000-2002200110011-1-1-1-10000-1-1-111100-2200000001-100
χ2822222-122-1-1222-1-2-2-2-2-1-1-1-1-12-12-2-2-2-21111-2-2000000-22-2-222-1-11111000-2002200110011-1-1-1-10000111-1-1-1002-20000000-1100
χ292222-122222-1-1-122222-1-1-1-12-12-1-1-1-1-122220022-1-1-1-122-1-1-1-1-1-1-1-1-1-1222022002200-1-1000000-1-1-1-12-1-12-1-10000-1-1-1-10000000
χ302222-122222-1-1-122222-1-1-1-12-12-1-1-1-1-122220022-1-1-1-1-2-21111-1-1-1-1-1-12-2-20-2-2002200-1-1000000-1-1-1-1-211-211000011110000000
χ312222-122222-1-1-122222-1-1-1-12-12-1-1-1-1-1222200-2-2111122-1-1-1-1-1-1-1-1-1-1-2-2-20-2-200-2-2001100000011112-1-12-1-1000011110000000
χ322222-122222-1-1-122222-1-1-1-12-12-1-1-1-1-1222200-2-21111-2-21111-1-1-1-1-1-1-22202200-2-200110000001111-211-2110000-1-1-1-10000000
χ332222-122222-1-1-12-2-2-2-2-1-1-1-12-12-11111-2-2-2-20022-1-1-1-12-2-1-111-1-111112-2-202200-2-200-1-100000011112-1-1-211000011-1-10000000
χ342222-122222-1-1-12-2-2-2-2-1-1-1-12-12-11111-2-2-2-20022-1-1-1-1-2211-1-1-1-111112220-2-200-2-200-1-10000001111-2112-1-10000-1-1110000000
χ352222-122222-1-1-12-2-2-2-2-1-1-1-12-12-11111-2-2-2-200-2-211112-2-1-111-1-11111-2220-2-200220011000000-1-1-1-12-1-1-2110000-1-1110000000
χ362222-122222-1-1-12-2-2-2-2-1-1-1-12-12-11111-2-2-2-200-2-21111-2211-1-1-1-11111-2-2-202200220011000000-1-1-1-1-2112-1-1000011-1-10000000
χ3722-2-22200-2-22-2-2222−2−22-2-22000022−2−222−2−22-22i−2i2i2i−2i−2i0000000022−2−20000002−2−i2i200002-222−2−2−i2−i2i2i20000002i−2i0000000−i2i20000
χ3822-2-22200-2-22-2-2222−2−22-2-22000022−2−222−2−22-2−2i2i−2i−2i2i2i0000000022−2−20000002−2i2−i200002-222−2−2i2i2−i2−i2000000−2i2i0000000i2−i20000
χ3922-2-22200-2-22-2-2222−2−22-2-22000022−2−222−2−2-222i−2i2i2i−2i−2i0000000022−2−2000000−22−i2i20000-22−2−222−i2−i2i2i2000000−2i2i0000000i2−i20000
χ4022-2-22200-2-22-2-2222−2−22-2-22000022−2−222−2−2-22−2i2i−2i−2i2i2i0000000022−2−2000000−22i2−i20000-22−2−222i2i2−i2−i20000002i−2i0000000−i2i20000
χ4122-2-22200-2-22-2-22−2−2222-2-220000−2−222−2−2222-22i−2i2i2i−2i−2i00000000−2−222000000−22i2−i200002-2−2−222i2i2−i2−i20000002i−2i0000000i2−i20000
χ4222-2-22200-2-22-2-22−2−2222-2-220000−2−222−2−2222-2−2i2i−2i−2i2i2i00000000−2−222000000−22−i2i200002-2−2−222−i2−i2i2i2000000−2i2i0000000−i2i20000
χ4322-2-22200-2-22-2-22−2−2222-2-220000−2−222−2−222-222i−2i2i2i−2i−2i00000000−2−2220000002−2i2−i20000-2222−2−2i2i2−i2−i2000000−2i2i0000000−i2i20000
χ4422-2-22200-2-22-2-22−2−2222-2-220000−2−222−2−222-22−2i2i−2i−2i2i2i00000000−2−2220000002−2−i2i20000-2222−2−2−i2−i2i2i20000002i−2i0000000i2−i20000
χ452-22-222-222-2-22-2-22i−2i2i−2i2-22-2-2-2222i−2i2i−2i2i−2i2i−2i000000000000002-22i−2i2i−2i02-202i−2i00000000000000000000000000002-22i−2i0000000
χ462-22-222-222-2-22-2-22i−2i2i−2i2-22-2-2-2222i−2i2i−2i2i−2i2i−2i000000000000002-22i−2i2i−2i0-220−2i2i0000000000000000000000000000-22−2i2i0000000
χ472-22-222-222-2-22-2-2−2i2i−2i2i2-22-2-2-222−2i2i−2i2i−2i2i−2i2i000000000000002-2−2i2i−2i2i02-20−2i2i00000000000000000000000000002-2−2i2i0000000
χ482-22-222-222-2-22-2-2−2i2i−2i2i2-22-2-2-222−2i2i−2i2i−2i2i−2i2i000000000000002-2−2i2i−2i2i0-2202i−2i0000000000000000000000000000-222i−2i0000000
χ492-22-2-12-222-21-11-22i−2i2i−2i-11-11-212-1−ii−ii2i−2i2i−2i00003−33−300−i3i33−3-11−ii−ii02-202i−2i0000003−3000000−i3i3−i3i30−i3i303−30000-11−ii0000000
χ502-22-2-12-222-21-11-22i−2i2i−2i-11-11-212-1−ii−ii2i−2i2i−2i00003−33−300i3−i3−33-11−ii−ii0-220−2i2i0000003−3000000−i3i3−i3i30i3−i30−3300001-1i−i0000000
χ512-22-2-12-222-21-11-22i−2i2i−2i-11-11-212-1−ii−ii2i−2i2i−2i0000−33−3300−i3i33−3-11−ii−ii0-220−2i2i000000−33000000i3−i3i3−i30−i3i303−300001-1i−i0000000
χ522-22-2-12-222-21-11-22i−2i2i−2i-11-11-212-1−ii−ii2i−2i2i−2i0000−33−3300i3−i3−33-11−ii−ii02-202i−2i000000−33000000i3−i3i3−i30i3−i30−330000-11−ii0000000
χ532-22-2-12-222-21-11-2−2i2i−2i2i-11-11-212-1i−ii−i−2i2i−2i2i00003−33−300−i3i3−33-11i−ii−i0-2202i−2i0000003−3000000i3−i3i3−i30−i3i30−3300001-1−ii0000000
χ542-22-2-12-222-21-11-2−2i2i−2i2i-11-11-212-1i−ii−i−2i2i−2i2i00003−33−300i3−i33−3-11i−ii−i02-20−2i2i0000003−3000000i3−i3i3−i30i3−i303−30000-11i−i0000000
χ552-22-2-12-222-21-11-2−2i2i−2i2i-11-11-212-1i−ii−i−2i2i−2i2i0000−33−3300−i3i3−33-11i−ii−i02-20−2i2i000000−33000000−i3i3−i3i30−i3i30−330000-11i−i0000000
χ562-22-2-12-222-21-11-2−2i2i−2i2i-11-11-212-1i−ii−i−2i2i−2i2i0000−33−3300i3−i33−3-11i−ii−i0-2202i−2i000000−33000000−i3i3−i3i30i3−i303−300001-1−ii0000000
χ5744444-2-4-4-2-2444-20000-2-2-2-22-42-40000000044000000000000220000000-40000002200-2-200000000000000000000000000000
χ5844444-2-4-4-2-2444-20000-2-2-2-22-42-400000000-4-40000000000002200000004000000-2-2002200000000000000000000000000000
χ594444-24-4-444-2-2-240000-2-2-2-2-42-42000000000044-2-2-2-2000000220000-400000000000220000000000000000000000000000000
χ604444-24-4-444-2-2-240000-2-2-2-2-42-420000000000-4-42222000000220000400000000000-2-20000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-20000000044-2-2-2-2111111000000000000000000000000-211-211000000000000000
χ624444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-200000000-4-422221111110000000000000000000000002-1-12-1-1000000000000000
χ634444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-222222222000000004-4-2-22211-1-1-1-1000000000000000000000000-2112-1-1000000000000000
χ644444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-22222222200000000-4422-2-211-1-1-1-10000000000000000000000002-1-1-211000000000000000
χ6544-4-44-200224-4-4-22222−22−22-222-200002222−22−22−2−2224-400000000000000−2−22200000022−22000000-22−2−2220000000000000000000000000
χ6644-4-44-200224-4-4-22222−22−22-222-200002222−22−22−2−222-4400000000000000−2−222000000−22220000002-222−2−20000000000000000000000000
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χ6944-4-4-2400-4-4-22242222−22−22-222-20000−2−2222222−22−22004i−4i−2i−2i2i2i00000000−2−22200000000−2i22i20000000000i2i2−i2−i2000000000000000000000
χ7044-4-4-2400-4-4-22242222−22−22-222-20000−2−2222222−22−2200−4i4i2i2i−2i−2i00000000−2−222000000002i2−2i20000000000−i2−i2i2i2000000000000000000000
χ7144-4-4-2400-4-4-2224−22−222222-222-2000022−2−2−22−222222004i−4i−2i−2i2i2i0000000022−2−2000000002i2−2i20000000000−i2−i2i2i2000000000000000000000
χ7244-4-4-2400-4-4-2224−22−222222-222-2000022−2−2−22−22222200−4i4i2i2i−2i−2i0000000022−2−200000000−2i22i20000000000i2i2−i2−i2000000000000000000000
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χ814-44-4-2-2-44-222-2224i−4i4i−4i1-11-122-2-2−2i2i−2i2i−2i2i−2i2i00000000002i3−2i3−23231-1i−ii−i0000000000000000000000000−i3i303−3000000000000000
χ824-44-4-2-2-44-222-222−4i4i−4i4i1-11-122-2-22i−2i2i−2i2i−2i2i−2i0000000000−2i32i3−23231-1−ii−ii0000000000000000000000000i3−i303−3000000000000000
χ834-44-4-2-2-44-222-222−4i4i−4i4i1-11-122-2-22i−2i2i−2i2i−2i2i−2i00000000002i3−2i323−231-1−ii−ii0000000000000000000000000−i3i30−33000000000000000
χ844-4-444400-44-4-44-4−2i22i22i2−2i244-4-40000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000−2i22i22i2−2i2000000000000000000000000000000000000000000000
χ854-4-444400-44-4-44-42i2−2i2−2i22i244-4-400002i2−2i2−2i22i22i2−2i2−2i22i200000000000000002i2−2i2−2i22i2000000000000000000000000000000000000000000000
χ864-4-444-2002-2-4-442−2i22i22i2−2i2-2-2220000−2i22i22i2−2i2i2−i2−i2i20000000000000000i2−i2−i2i20000000000−2i32i300006−6−660000000000000000000000000
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χ884-4-444-2002-2-4-4422i2−2i2−2i22i2-2-22200002i2−2i2−2i22i2−i2i2i2−i20000000000000000−i2i2i2−i20000000000−2i32i30000−666−60000000000000000000000000
χ894-4-444-2002-2-4-4422i2−2i2−2i22i2-2-22200002i2−2i2−2i22i2−i2i2i2−i20000000000000000−i2i2i2−i200000000002i3−2i300006−6−660000000000000000000000000
χ904-4-44-2400-4422-2-4−2i22i22i2−2i2-2-2220000i2−i2−i2i2−2i22i22i2−2i20000−2i32i32i3−2i300000000i2−i2−i2i200000000000000000000−666−6000000000000000000000
χ914-4-44-2400-4422-2-4−2i22i22i2−2i2-2-2220000i2−i2−i2i2−2i22i22i2−2i200002i3−2i3−2i32i300000000i2−i2−i2i2000000000000000000006−6−66000000000000000000000
χ924-4-44-2400-4422-2-42i2−2i2−2i22i2-2-2220000−i2i2i2−i22i2−2i2−2i22i20000−2i32i32i3−2i300000000−i2i2i2−i2000000000000000000006−6−66000000000000000000000
χ934-4-44-2400-4422-2-42i2−2i2−2i22i2-2-2220000−i2i2i2−i22i2−2i2−2i22i200002i3−2i3−2i32i300000000−i2i2i2−i200000000000000000000−666−6000000000000000000000
χ948888-4-4-8-8-4-4-4-4-4-40000222244440000000000000000000000-2-20000000000000000000000000000000000000000000000000
χ9588-8-8-4-40044-444-44242−42−422-2-220000−22−222222−22−222222000000000000000022−2−2000000000000000000000000000000000000000000000
χ9688-8-8-4-40044-444-4−42−4242422-2-2200002222−22−222222−22−220000000000000000−2−222000000000000000000000000000000000000000000000
χ978-88-8-4-48-8-444-44400002-22-2-4-4440000000000000000000000-220000000000000000000000000000000000000000000000000
χ988-8-88-4-4004-444-44−4i24i24i2−4i222-2-200002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000−i2i2i2−i2000000000000000000000000000000000000000000000
χ998-8-88-4-4004-444-444i2−4i2−4i24i222-2-20000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000i2−i2−i2i2000000000000000000000000000000000000000000000

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