Finite Group Databasebeta

← Group #11887324

Character table — Group #11887324

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121212121212161616161616181824242424242436363648487272
order12223344666666888836661212121224242424242424244444121212124412121212121224242424222444668888121212122424242424242424121212121212222466121248861244
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
χ3111111111111111111111111111111111111-1-11111111111111111-111111-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-11-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-111-1-1-1-11111111111111-1-1-1-1-111-1-11111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
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
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1111-111-1-11-1-11-1-11
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111-11-1-1111-1-1-111-1
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111-1-1-11111-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-1-1-111111-111-1-1-1-1-1111-1-1-111-111-1
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1111-1-111-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-1-1-11111-11-1-111-1-11-1-1-111-1111-1-11
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-11111-1-1-1-11-1-1-1111111-1-111-1-11111-1-1-1-11-111-1-1-1-11-1-1-111-1111-11-1
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-111-1-11111-1-1-1-1-11-1-111-1-1-1111-1-1-111-11-11
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111-111-1-111-11-1-1111-1-1-11-11
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-111-1-1-1-1-11111-1-1-1-111111111-11-1-111111-111-1-11-1-11-11-1
χ17222222-2-222222200002222-2-2-2-20000000022222222000000-2-20000-200-200-2-2000022-2-20000000000000022000000-2000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-22222000000-2-20000200-200220000-2-2-2-200000000000000-2-20000002000000
χ19222222-2-222222200002222-2-2-2-200000000-2-222-2-2-2-2000000-2-20000-200200-2-20000222200000000000000-2-20000002000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-2-2-2-2-2000000-2-20000200200220000-2-2220000000000000022000000-2000000
χ2122222-122-122-1-122222-1-1-1-1-122-12222-1-1-1-100220000222222-1-1-1-1-1-1200000-1-10022-1-1000000-1-1-1-1-1-1-1-1-1-100220000000-1-100
χ2222222-122-122-1-122222-1-1-1-1-122-12222-1-1-1-100220000-2-2-2-2-2-2-1-1-1-1-1-1200000-1-10022-1-1000000-1-1-1-111111100-2-200000001100
χ2322222-122-122-1-122222-1-1-1-1-122-12222-1-1-1-100-2-20000222222-1-1-1-1-1-1-2000001100-2-2110000001111-1-1-1-1-1-100-2-200000001100
χ2422222-122-122-1-122222-1-1-1-1-122-12222-1-1-1-100-2-20000-2-2-2-2-2-2-1-1-1-1-1-1-2000001100-2-211000000111111111100220000000-1-100
χ2522222-122-122-1-12-2-2-2-2-1-1-1-1-122-1-2-2-2-21111002200002-2-2-222-1-11111200000-1-100-2-2-1-10000001111-11-1-111002-20000000-1100
χ2622222-122-122-1-12-2-2-2-2-1-1-1-1-122-1-2-2-2-2111100220000-2222-2-2-1-11111200000-1-100-2-2-1-100000011111-111-1-100-2200000001-100
χ2722222-122-122-1-12-2-2-2-2-1-1-1-1-122-1-2-2-2-2111100-2-200002-2-2-222-1-11111-20000011002211000000-1-1-1-1-11-1-11100-2200000001-100
χ2822222-122-122-1-12-2-2-2-2-1-1-1-1-122-1-2-2-2-2111100-2-20000-2222-2-2-1-11111-20000011002211000000-1-1-1-11-111-1-1002-20000000-1100
χ292222-12222-1-122-12222-1-1-1-12-1-12-1-1-1-122222200-1-1-1-122-1-1-1-1-1-1-1-1-1-102222200220000-1-1-1-1-1-1000022-1-1-1-10000-1-1-1-10000000
χ302222-12222-1-122-12222-1-1-1-12-1-12-1-1-1-122222200-1-1-1-1-2-21111-1-1-1-1-1-10-2-22-2-200220000-1-1-1-1-1-10000-2-21111000011110000000
χ312222-12222-1-122-12222-1-1-1-12-1-12-1-1-1-12222-2-200111122-1-1-1-1-1-1-1-1-1-10-2-2-2-2-200-2-20000111111000022-1-1-1-1000011110000000
χ322222-12222-1-122-12222-1-1-1-12-1-12-1-1-1-12222-2-2001111-2-21111-1-1-1-1-1-1022-22200-2-200001111110000-2-211110000-1-1-1-10000000
χ332222-12222-1-122-1-2-2-2-2-1-1-1-12-1-121111-2-2-2-22200-1-1-1-12-211-1-1-1-111110222-2-200-2-20000-1-1111100002-2-1-1110000-1-1110000000
χ342222-12222-1-122-1-2-2-2-2-1-1-1-12-1-121111-2-2-2-22200-1-1-1-1-22-1-111-1-111110-2-222200-2-20000-1-111110000-2211-1-1000011-1-10000000
χ352222-12222-1-122-1-2-2-2-2-1-1-1-12-1-121111-2-2-2-2-2-20011112-211-1-1-1-111110-2-2-2220022000011-1-1-1-100002-2-1-111000011-1-10000000
χ362222-12222-1-122-1-2-2-2-2-1-1-1-12-1-121111-2-2-2-2-2-2001111-22-1-111-1-11111022-2-2-20022000011-1-1-1-10000-2211-1-10000-1-1110000000
χ3722-2-22200-2-2-22-2222−2−222-2-2000022−2−222−2−22i−2i2i−2i2i2i−2i−2i0000000022−2−200000000−i2i2−i2i22i−2i00−i2−i2i2i2−i2−i2i2i20000002-200000002−20000
χ3822-2-22200-2-2-22-2222−2−222-2-2000022−2−222−2−22i−2i−2i2i2i2i−2i−2i0000000022−2−200000000−i2i2i2−i2−2i2i00−i2−i2i2i2i2i2−i2−i2000000-220000000−220000
χ3922-2-22200-2-2-22-2222−2−222-2-2000022−2−222−2−2−2i2i2i−2i−2i−2i2i2i0000000022−2−200000000i2−i2−i2i22i−2i00i2i2−i2−i2−i2−i2i2i2000000-220000000−220000
χ4022-2-22200-2-2-22-2222−2−222-2-2000022−2−222−2−2−2i2i−2i2i−2i−2i2i2i0000000022−2−200000000i2−i2i2−i2−2i2i00i2i2−i2−i2i2i2−i2−i20000002-200000002−20000
χ4122-2-22200-2-2-22-22−2−22222-2-20000−2−222−2−2222i−2i2i−2i2i2i−2i−2i00000000−2−22200000000i2−i2i2−i22i−2i00i2i2−i2−i2i2i2−i2−i20000002-20000000−220000
χ4222-2-22200-2-2-22-22−2−22222-2-20000−2−222−2−2222i−2i−2i2i2i2i−2i−2i00000000−2−22200000000i2−i2−i2i2−2i2i00i2i2−i2−i2−i2−i2i2i2000000-2200000002−20000
χ4322-2-22200-2-2-22-22−2−22222-2-20000−2−222−2−222−2i2i2i−2i−2i−2i2i2i00000000−2−22200000000−i2i2i2−i22i−2i00−i2−i2i2i2i2i2−i2−i2000000-2200000002−20000
χ4422-2-22200-2-2-22-22−2−22222-2-20000−2−222−2−222−2i2i−2i2i−2i−2i2i2i00000000−2−22200000000−i2i2−i2i2−2i2i00−i2−i2i2i2−i2−i2i2i20000002-20000000−220000
χ452-2-22222-2-22-2-22-22i−2i2i−2i2-2-222-22-22i−2i2i−2i2i−2i2i−2i000000000000002-22i−2i2i−2i02-202i−2i00000000000000000000000000002-22i−2i0000000
χ462-2-22222-2-22-2-22-22i−2i2i−2i2-2-222-22-22i−2i2i−2i2i−2i2i−2i000000000000002-22i−2i2i−2i0-220−2i2i0000000000000000000000000000-22−2i2i0000000
χ472-2-22222-2-22-2-22-2−2i2i−2i2i2-2-222-22-2−2i2i−2i2i−2i2i−2i2i000000000000002-2−2i2i−2i2i02-20−2i2i00000000000000000000000000002-2−2i2i0000000
χ482-2-22222-2-22-2-22-2−2i2i−2i2i2-2-222-22-2−2i2i−2i2i−2i2i−2i2i000000000000002-2−2i2i−2i2i0-2202i−2i0000000000000000000000000000-222i−2i0000000
χ492-2-22-122-2-2-11-2212i−2i2i−2i-111-121-1-2−ii−ii2i−2i2i−2i00003−33−300−i3i33−3-11−ii−ii02-202i−2i000000003−3−i3i3−i3i30000003−3−i3i30000-11−ii0000000
χ502-2-22-122-2-2-11-2212i−2i2i−2i-111-121-1-2−ii−ii2i−2i2i−2i00003−33−300i3−i3−33-11−ii−ii0-220−2i2i000000003−3−i3i3−i3i3000000−33i3−i300001-1i−i0000000
χ512-2-22-122-2-2-11-2212i−2i2i−2i-111-121-1-2−ii−ii2i−2i2i−2i0000−33−3300−i3i33−3-11−ii−ii0-220−2i2i00000000−33i3−i3i3−i30000003−3−i3i300001-1i−i0000000
χ522-2-22-122-2-2-11-2212i−2i2i−2i-111-121-1-2−ii−ii2i−2i2i−2i0000−33−3300i3−i3−33-11−ii−ii02-202i−2i00000000−33i3−i3i3−i3000000−33i3−i30000-11−ii0000000
χ532-2-22-122-2-2-11-221−2i2i−2i2i-111-121-1-2i−ii−i−2i2i−2i2i00003−33−300−i3i3−33-11i−ii−i0-2202i−2i000000003−3i3−i3i3−i3000000−33−i3i300001-1−ii0000000
χ542-2-22-122-2-2-11-221−2i2i−2i2i-111-121-1-2i−ii−i−2i2i−2i2i00003−33−300i3−i33−3-11i−ii−i02-20−2i2i000000003−3i3−i3i3−i30000003−3i3−i30000-11i−i0000000
χ552-2-22-122-2-2-11-221−2i2i−2i2i-111-121-1-2i−ii−i−2i2i−2i2i0000−33−3300−i3i3−33-11i−ii−i02-20−2i2i00000000−33−i3i3−i3i3000000−33−i3i30000-11i−i0000000
χ562-2-22-122-2-2-11-221−2i2i−2i2i-111-121-1-2i−ii−i−2i2i−2i2i0000−33−3300i3−i33−3-11i−ii−i0-2202i−2i00000000−33−i3i3−i3i30000003−3i3−i300001-1−ii0000000
χ5744444-2-4-4-244-2-240000-2-2-2-22-4-420000000000440000000000220000-400000220000-2-20000000000000000000000000000000
χ5844444-2-4-4-244-2-240000-2-2-2-22-4-420000000000-4-40000000000220000400000-2-20000220000000000000000000000000000000
χ594444-24-4-44-2-244-20000-2-2-2-2-422-4000000004400-2-2-2-2000000220000000-400000000002200000000000000000000000000000
χ604444-24-4-44-2-244-20000-2-2-2-2-422-400000000-4-400222200000022000000040000000000-2-200000000000000000000000000000
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
χ634444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-222222222000000004-422-2-211-1-1-1-1000000000000000000000000-2211-1-1000000000000000
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χ864-4-444-2-4424-42-2-40000-222-224-4-200000000000000000000002-2000000000000000000000000−2i32i32i3−2i3000000000000000000000
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χ934-4-44-2-24-42-222-22−4i4i−4i4i1-1-11-22-222i−2i2i−2i2i−2i2i−2i00000000002i3−2i323−231-1−ii−ii00000000000000000000000000−33−i3i3000000000000000
χ948888-4-4-8-8-4-4-4-4-4-40000222244440000000000000000000000-2-20000000000000000000000000000000000000000000000000
χ9588-8-8-4-400444-44-44242−42−4222-2-20000−22−222222−22−222222000000000000000022−2−2000000000000000000000000000000000000000000000
χ9688-8-8-4-400444-44-4−42−42424222-2-200002222−22−222222−22−220000000000000000−2−222000000000000000000000000000000000000000000000
χ978-88-8-4-400-44-4444−4i24i24i2−4i22-22-200002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000−i2i2i2−i2000000000000000000000000000000000000000000000
χ988-88-8-4-400-44-44444i2−4i2−4i24i22-22-20000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000i2−i2−i2i2000000000000000000000000000000000000000000000
χ998-8-88-4-4-884-444-4400002-2-224-44-40000000000000000000000-220000000000000000000000000000000000000000000000000

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