Finite Group Databasebeta

← Group #11887283

Character table — Group #11887283

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121212121212161616161616181824242424242436363648487272
order1222334466666688883666121212122424242424242424224412121212441212121212122424242422244466668888121224242424242424241212121212124444661212488121224
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
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-11111-1111-1-11-1-11-11-1
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-11-1-11111111-1-1-1-111-1-1-1-1-1-1-1-11-111-1-1111-1-1-1111-1-1-11-11
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-11-1-111-1-1-11-1-111-1111-1-11
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-111-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-111111-111-1-1-1-11-111-1-1-111-111-1
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-11111-1-1-1-1111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-11-111-1-1-111-11-11
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1111-1-111-1-1-1-11-1-1-111-1-11111-1-1-1-11111-1-1-1-11-111-1-1-1-1-11-1-111-1111-11-1
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-11-1-111111-1-1-1111-1-1-111-1
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-111-1-1-1-1-1-1-11111-1-1111111111-111-1-111-1111-1-11-1-11-1-11
χ17222222-2-222222200002222-2-2-2-20000000022222222000000-2-20000-200-20022-2-20000-2-20000000000000022000000-2000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-2-2-2-2-2000000-2-20000200-20022220000-2-200000000000000-2-20000002000000
χ19222222-2-222222200002222-2-2-2-200000000-2-2222222000000-2-20000-200200-2-2-2-200002200000000000000-2-20000002000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-2-2-2-2-2000000-2-20000200200-2-2220000220000000000000022000000-2000000
χ2122222-1222-1-1-1222222-1-1-1-1-12-122222-1-1-1-10022-1-1-1-122-1-1-1-1-1-1-1-1-1-122202200-1-10022000000-1-1-1-122-1-1-1-10000-1-1-1-10000000
χ2222222-1222-1-1-1222222-1-1-1-1-12-122222-1-1-1-10022-1-1-1-1-2-21111-1-1-1-1-1-12-2-20-2-200-1-10022000000-1-1-1-1-2-21111000011110000000
χ2322222-1222-1-1-1222222-1-1-1-1-12-122222-1-1-1-100-2-2111122-1-1-1-1-1-1-1-1-1-1-2-2-20-2-2001100-2-2000000111122-1-1-1-1000011110000000
χ2422222-1222-1-1-1222222-1-1-1-1-12-122222-1-1-1-100-2-21111-2-21111-1-1-1-1-1-1-222022001100-2-20000001111-2-211110000-1-1-1-10000000
χ2522222-1222-1-1-122-2-2-2-2-1-1-1-1-12-12-2-2-2-211110022-1-1-1-12-211-1-1-1-111112220-2-200-1-100-2-20000001111-2211-1-10000-1-1110000000
χ2622222-1222-1-1-122-2-2-2-2-1-1-1-1-12-12-2-2-2-211110022-1-1-1-1-22-1-111-1-111112-2-202200-1-100-2-200000011112-2-1-111000011-1-10000000
χ2722222-1222-1-1-122-2-2-2-2-1-1-1-1-12-12-2-2-2-2111100-2-211112-211-1-1-1-11111-2-2-202200110022000000-1-1-1-1-2211-1-1000011-1-10000000
χ2822222-1222-1-1-122-2-2-2-2-1-1-1-1-12-12-2-2-2-2111100-2-21111-22-1-111-1-11111-2220-2-200110022000000-1-1-1-12-2-1-1110000-1-1110000000
χ292222-1222-1222-1-12222-1-1-1-12-12-1-1-1-1-1222222000000222222-1-1-1-1-1-1000200-1-1002200-1-1-1-1-1-10000-1-1-1-1-1-100220000000-1-100
χ302222-1222-1222-1-12222-1-1-1-12-12-1-1-1-1-1222222000000-2-2-2-2-2-2-1-1-1-1-1-1000200-1-1002200-1-1-1-1-1-1000011111100-2-200000001100
χ312222-1222-1222-1-12222-1-1-1-12-12-1-1-1-1-12222-2-2000000222222-1-1-1-1-1-1000-2001100-2-2001111110000-1-1-1-1-1-100-2-200000001100
χ322222-1222-1222-1-12222-1-1-1-12-12-1-1-1-1-12222-2-2000000-2-2-2-2-2-2-1-1-1-1-1-1000-2001100-2-200111111000011111100220000000-1-100
χ332222-1222-1222-1-1-2-2-2-2-1-1-1-12-12-11111-2-2-2-2220000002-2-2-222-1-11111000200-1-100-2-200-1-1111100001-111-1-100-220000000-1100
χ342222-1222-1222-1-1-2-2-2-2-1-1-1-12-12-11111-2-2-2-222000000-2222-2-2-1-11111000200-1-100-2-200-1-111110000-11-1-111002-200000001-100
χ352222-1222-1222-1-1-2-2-2-2-1-1-1-12-12-11111-2-2-2-2-2-20000002-2-2-222-1-11111000-2001100220011-1-1-1-100001-111-1-1002-200000001-100
χ362222-1222-1222-1-1-2-2-2-2-1-1-1-12-12-11111-2-2-2-2-2-2000000-2222-2-2-1-11111000-2001100220011-1-1-1-10000-11-1-11100-220000000-1100
χ3722-2-222-22-2-22-2-222i2i−2i−2i2-2-2222-2-22i2i−2i−2i2i2i−2i−2i000000000000002-22i2i−2i−2i02-202i−2i00000000000000000000000000002-22i−2i0000000
χ3822-2-222-22-2-22-2-222i2i−2i−2i2-2-2222-2-22i2i−2i−2i2i2i−2i−2i000000000000002-22i2i−2i−2i0-220−2i2i0000000000000000000000000000-22−2i2i0000000
χ3922-2-222-22-2-22-2-22−2i−2i2i2i2-2-2222-2-2−2i−2i2i2i−2i−2i2i2i000000000000002-2−2i−2i2i2i02-20−2i2i00000000000000000000000000002-2−2i2i0000000
χ4022-2-222-22-2-22-2-22−2i−2i2i2i2-2-2222-2-2−2i−2i2i2i−2i−2i2i2i000000000000002-2−2i−2i2i2i0-2202i−2i0000000000000000000000000000-222i−2i0000000
χ4122-2-22-1-22-21-11-222i2i−2i−2i-111-1-121-22i2i−2i−2i−i−iii0000−i3−i3i3i3003−3−i3i3-11−i−iii02-202i−2i00−i3i3000000000033−3−3003−3−i3i30000-11−ii0000000
χ4222-2-22-1-22-21-11-222i2i−2i−2i-111-1-121-22i2i−2i−2i−i−iii0000−i3−i3i3i300−33i3−i3-11−i−iii0-220−2i2i00−i3i3000000000033−3−300−33i3−i300001-1i−i0000000
χ4322-2-22-1-22-21-11-222i2i−2i−2i-111-1-121-22i2i−2i−2i−i−iii0000i3i3−i3−i3003−3−i3i3-11−i−iii0-220−2i2i00i3−i30000000000−3−333003−3−i3i300001-1i−i0000000
χ4422-2-22-1-22-21-11-222i2i−2i−2i-111-1-121-22i2i−2i−2i−i−iii0000i3i3−i3−i300−33i3−i3-11−i−iii02-202i−2i00i3−i30000000000−3−33300−33i3−i30000-11−ii0000000
χ4522-2-22-1-22-21-11-22−2i−2i2i2i-111-1-121-2−2i−2i2i2iii−i−i0000−i3−i3i3i3003−3i3−i3-11ii−i−i0-2202i−2i00−i3i30000000000−3−333003−3i3−i300001-1−ii0000000
χ4622-2-22-1-22-21-11-22−2i−2i2i2i-111-1-121-2−2i−2i2i2iii−i−i0000−i3−i3i3i300−33−i3i3-11ii−i−i02-20−2i2i00−i3i30000000000−3−33300−33−i3i30000-11i−i0000000
χ4722-2-22-1-22-21-11-22−2i−2i2i2i-111-1-121-2−2i−2i2i2iii−i−i0000i3i3−i3−i3003−3i3−i3-11ii−i−i02-20−2i2i00i3−i3000000000033−3−3003−3i3−i30000-11i−i0000000
χ4822-2-22-1-22-21-11-22−2i−2i2i2i-111-1-121-2−2i−2i2i2iii−i−i0000i3i3−i3−i300−33−i3i3-11ii−i−i0-2202i−2i00i3−i3000000000033−3−300−33−i3i300001-1−ii0000000
χ492-2-2222002-2-22-2-22−22−222-2-200002−22−22−22−22-22i−2i2i−2i2i−2i000000002−22−20000002-2002−2−i2i20022−2−2−i2i2−i2i20000002i−2i0000000−i2i20000
χ502-2-2222002-2-22-2-22−22−222-2-200002−22−22−22−22-2−2i2i−2i2i−2i2i000000002−22−20000002-2002−2i2−i20022−2−2i2−i2i2−i2000000−2i2i0000000i2−i20000
χ512-2-2222002-2-22-2-22−22−222-2-200002−22−22−22−2-222i−2i2i−2i2i−2i000000002−22−2000000-2200−22−i2i200−2−222−i2i2−i2i2000000−2i2i0000000i2−i20000
χ522-2-2222002-2-22-2-22−22−222-2-200002−22−22−22−2-22−2i2i−2i2i−2i2i000000002−22−2000000-2200−22i2−i200−2−222i2−i2i2−i20000002i−2i0000000−i2i20000
χ532-2-2222002-2-22-2-2−22−2222-2-20000−22−22−22−222-22i−2i2i−2i2i−2i00000000−22−220000002-200−22i2−i200−2−222i2−i2i2−i20000002i−2i0000000i2−i20000
χ542-2-2222002-2-22-2-2−22−2222-2-20000−22−22−22−222-2−2i2i−2i2i−2i2i00000000−22−220000002-200−22−i2i200−2−222−i2i2−i2i2000000−2i2i0000000−i2i20000
χ552-2-2222002-2-22-2-2−22−2222-2-20000−22−22−22−22-222i−2i2i−2i2i−2i00000000−22−22000000-22002−2i2−i20022−2−2i2−i2i2−i2000000−2i2i0000000−i2i20000
χ562-2-2222002-2-22-2-2−22−2222-2-20000−22−22−22−22-22−2i2i−2i2i−2i2i00000000−22−22000000-22002−2−i2i20022−2−2−i2i2−i2i20000002i−2i0000000i2−i20000
χ5744444-2-4-44-2-2-2440000-2-2-2-22-42-4000000000044-2-2-2-2000000220000-400000002200000000000000000000000000000000000
χ5844444-2-4-44-2-2-2440000-2-2-2-22-42-40000000000-4-4222200000022000040000000-2-200000000000000000000000000000000000
χ594444-24-4-4-2444-2-20000-2-2-2-2-42-420000000044000000000000220000000-400-2-20000002200000000000000000000000000000
χ604444-24-4-4-2444-2-20000-2-2-2-2-42-4200000000-4-400000000000022000000040022000000-2-200000000000000000000000000000
χ614444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-20000000044-2-2-2-2111111000000000000000000000000-2-21111000000000000000
χ624444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-200000000-4-4222211111100000000000000000000000022-1-1-1-1000000000000000
χ634444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-222222222000000004-422-2-211-1-1-1-10000000000000000000000002-2-1-111000000000000000
χ644444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-22222222200000000-44-2-22211-1-1-1-1000000000000000000000000-2211-1-1000000000000000
χ6544-4-4444-4-4-44-4-4400004-4-44-4-4440000000000000000000000-440000000000000000000000000000000000000000000000000
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χ6944-4-4-244-42-44-42-20000-222-2-424-200000000000000000000002-2000000000000000000002i3−2i32i3−2i30000000000000000000000000
χ7044-4-4-24-442-44-42-24i4i−4i−4i-222-24-2-42−2i−2i2i2i4i4i−4i−4i00000000000000-22−2i−2i2i2i000000000000000000000000000000000000000000000
χ7144-4-4-24-442-44-42-2−4i−4i4i4i-222-24-2-422i2i−2i−2i−4i−4i4i4i00000000000000-222i2i−2i−2i000000000000000000000000000000000000000000000
χ7244-4-4-2-2-4422-222-24i4i−4i−4i1-1-11-2-222−2i−2i2i2i−2i−2i2i2i000000000023−23−2i32i31-1ii−i−i00000000000000000000000000−33i3−i3000000000000000
χ7344-4-4-2-2-4422-222-24i4i−4i−4i1-1-11-2-222−2i−2i2i2i−2i−2i2i2i0000000000−23232i3−2i31-1ii−i−i000000000000000000000000003−3−i3i3000000000000000
χ7444-4-4-2-2-4422-222-2−4i−4i4i4i1-1-11-2-2222i2i−2i−2i2i2i−2i−2i000000000023−232i3−2i31-1−i−iii00000000000000000000000000−33−i3i3000000000000000
χ7544-4-4-2-2-4422-222-2−4i−4i4i4i1-1-11-2-2222i2i−2i−2i2i2i−2i−2i0000000000−2323−2i32i31-1−i−iii000000000000000000000000003−3i3−i3000000000000000
χ764-44-44400-44-4-44-4−2i22i22i2−2i24-44-40000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000−2i22i22i2−2i2000000000000000000000000000000000000000000000
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χ784-44-44-200-4-2224-4−2i22i22i2−2i2-22-220000−2i22i22i2−2i2i2−i2−i2i2000023−23−232300000000i2−i2−i2i200000000000000000000i6−i6−i6i6000000000000000000000
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χ814-44-44-200-4-2224-42i2−2i2−2i22i2-22-2200002i2−2i2−2i22i2−i2i2i2−i20000−232323−2300000000−i2i2i2−i200000000000000000000i6−i6−i6i6000000000000000000000
χ824-44-4-240024-4-4-22−2i22i22i2−2i2-22-220000i2−i2−i2i2−2i22i22i2−2i20000000000000000i2−i2−i2i20000000000000023−23i6−i6−i6i60000000000000000000000000
χ834-44-4-240024-4-4-22−2i22i22i2−2i2-22-220000i2−i2−i2i2−2i22i22i2−2i20000000000000000i2−i2−i2i200000000000000−2323−i6i6i6−i60000000000000000000000000
χ844-44-4-240024-4-4-222i2−2i2−2i22i2-22-220000−i2i2i2−i22i2−2i2−2i22i20000000000000000−i2i2i2−i20000000000000023−23−i6i6i6−i60000000000000000000000000
χ854-44-4-240024-4-4-222i2−2i2−2i22i2-22-220000−i2i2i2−i22i2−2i2−2i22i20000000000000000−i2i2i2−i200000000000000−2323i6−i6−i6i60000000000000000000000000
χ864-4-444-200422-2-4-422−2222−22-2-222000022−2222−22−22−22004i−4i−2i2i−2i2i00000000−22−22000000000000−2i22i2000000i2−i2i2−i2000000000000000000000
χ874-4-444-200422-2-4-422−2222−22-2-222000022−2222−22−22−2200−4i4i2i−2i2i−2i00000000−22−220000000000002i2−2i2000000−i2i2−i2i2000000000000000000000
χ884-4-444-200422-2-4-4−2222−2222-2-2220000−2222−22222−22−2004i−4i−2i2i−2i2i000000002−22−20000000000002i2−2i2000000−i2i2−i2i2000000000000000000000
χ894-4-444-200422-2-4-4−2222−2222-2-2220000−2222−22222−22−200−4i4i2i−2i2i−2i000000002−22−2000000000000−2i22i2000000i2−i2i2−i2000000000000000000000
χ904-4-44-2400-2-4-442222−2222−22-2-2220000−22−2222−2222−224-400000000000000−22−22000000-220022−220000−2−2220000000000000000000000000
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χ9588-8-8-4-48-844-444-400002-2-2244-4-40000000000000000000000-220000000000000000000000000000000000000000000000000
χ968-88-8-4-4004-444-44−4i24i24i2−4i22-22-200002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000−i2i2i2−i2000000000000000000000000000000000000000000000
χ978-88-8-4-4004-444-444i2−4i2−4i24i22-22-20000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000i2−i2−i2i2000000000000000000000000000000000000000000000
χ988-8-88-4-400-444-44442−4242−4222-2-20000−2222−2222−2222−222200000000000000002−22−2000000000000000000000000000000000000000000000
χ998-8-88-4-400-444-444−4242−424222-2-2000022−2222−2222−2222−220000000000000000−22−22000000000000000000000000000000000000000000000

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