Finite Group Databasebeta

← Group #11898328

Character table — Group #11898328

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121212121212161616161616181824242424242436363648487272
order1222334466666688883666121212122424242424242424444412121212246612121212242424244444448888121212121212242424242424242466612121244241212121248861224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1
χ3111111111111111111111111111111111111-1-111111111111111111-1111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-11111-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-111-1-1-1-1111111111111-11-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-111111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
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
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1111-111-1-11-1-11-11-1
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1-11111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111111-11-1-1111-1-1-11-11
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111-111-1-111-1-1-1-11-111-1-1-1-111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1111-1-1-111-11-11
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-11-1-11111-1-1-1-11-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1111-1-11-1-1-111-1111-11-1
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-111-1-1-1-1-11-1-11111-1-11111-1-11111-1-1-1-1111-1-1-1-1-11-1-1-111-1111-1-11
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-1-1-1-1111-1-111-1-11111-1-11111-1-1-1-1-1-1-1111-1-1-1111-1-1-111-111-1
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111111-1-1-111-11-1-1111-1-1-111-1
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1111111-111-1-11-1-11-1-11
χ17222222-2-222222200002222-2-2-2-20000000022222222000000-2-20000-2-20000000022-2-2-2-20000000000000022000000-2000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-22222000000-2-20000-2200000000-2-222-2-200000000000000-2-20000002000000
χ19222222-2-222222200002222-2-2-2-200000000-2-222-2-2-2-2000000-2-200002-20000000022-2-22200000000000000-2-20000002000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-2-2-2-2-2000000-2-200002200000000-2-222220000000000000022000000-2000000
χ2122222-1222-1-122-12222-1-1-1-12-12-12222-1-1-1-100220000222222-1-1-1-1-1-10200000022-1-1-1-1000000-1-1-1-1-1-1-1-1-1-100220000000-1-100
χ2222222-1222-1-122-12222-1-1-1-12-12-12222-1-1-1-100220000-2-2-2-2-2-2-1-1-1-1-1-10200000022-1-1-1-1000000-1-1-1-111111100-2-200000001100
χ2322222-1222-1-122-12222-1-1-1-12-12-12222-1-1-1-100-2-20000222222-1-1-1-1-1-10-2000000-2-211110000001111-1-1-1-1-1-100-2-200000001100
χ2422222-1222-1-122-12222-1-1-1-12-12-12222-1-1-1-100-2-20000-2-2-2-2-2-2-1-1-1-1-1-10-2000000-2-21111000000111111111100220000000-1-100
χ2522222-1222-1-122-1-2-2-2-2-1-1-1-12-12-1-2-2-2-21111002200002-222-2-2-1-1111102000000-2-2-1-1-1-10000001111-1-1-1111002-20000000-1100
χ2622222-1222-1-122-1-2-2-2-2-1-1-1-12-12-1-2-2-2-2111100220000-22-2-222-1-1111102000000-2-2-1-1-1-10000001111111-1-1-100-2200000001-100
χ2722222-1222-1-122-1-2-2-2-2-1-1-1-12-12-1-2-2-2-2111100-2-200002-222-2-2-1-111110-2000000221111000000-1-1-1-1-1-1-111100-2200000001-100
χ2822222-1222-1-122-1-2-2-2-2-1-1-1-12-12-1-2-2-2-2111100-2-20000-22-2-222-1-111110-2000000221111000000-1-1-1-1111-1-1-1002-20000000-1100
χ292222-1222-122-1-122222-1-1-1-1-12-12-1-1-1-122222200-1-1-1-122-1-1-1-1-1-1-1-1-1-120222222000000-1-1-1-1-1-100002-1-12-1-10000-1-1-1-10000000
χ302222-1222-122-1-122222-1-1-1-1-12-12-1-1-1-122222200-1-1-1-1-2-21111-1-1-1-1-1-120-2-2-2-222000000-1-1-1-1-1-10000-211-211000011110000000
χ312222-1222-122-1-122222-1-1-1-1-12-12-1-1-1-12222-2-200111122-1-1-1-1-1-1-1-1-1-1-20-2-2-2-2-2-200000011111100002-1-12-1-1000011110000000
χ322222-1222-122-1-122222-1-1-1-1-12-12-1-1-1-12222-2-2001111-2-21111-1-1-1-1-1-1-202222-2-20000001111110000-211-2110000-1-1-1-10000000
χ332222-1222-122-1-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-22200-1-1-1-12-2-1-111-1-111112022-2-2-2-2000000-1-1111100002-1-1-2110000-1-1110000000
χ342222-1222-122-1-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-22200-1-1-1-1-2211-1-1-1-1111120-2-222-2-2000000-1-111110000-2112-1-1000011-1-10000000
χ352222-1222-122-1-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-2-2-20011112-2-1-111-1-11111-20-2-2222200000011-1-1-1-100002-1-1-211000011-1-10000000
χ362222-1222-122-1-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-2-2-2001111-2211-1-1-1-11111-2022-2-22200000011-1-1-1-10000-2112-1-10000-1-1110000000
χ3722-2-22200-22-22-2-2−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2i2i22-22-222-2-200000000−i2−i2i2i2000000−i2i2−i2i22-20000−i2−i2i2i2−i2−i2i2i20000002-20000000−i2i20000
χ3822-2-22200-22-22-2-2−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2i2i22-2-2222-2-200000000−i2−i2i2i2000000−i2i2i2−i2-220000−i2−i2i2i2i2i2−i2−i2000000-220000000i2−i20000
χ3922-2-22200-22-22-2-2−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2i2i2-222-2-2-22200000000−i2−i2i2i2000000i2−i2−i2i22-20000i2i2−i2−i2−i2−i2i2i2000000-220000000i2−i20000
χ4022-2-22200-22-22-2-2−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2i2i2-22-22-2-22200000000−i2−i2i2i2000000i2−i2i2−i2-220000i2i2−i2−i2i2i2−i2−i20000002-20000000−i2i20000
χ4122-2-22200-22-22-2-2i2i2−i2−i222-2-20000i2i2−i2−i2i2i2−i2−i22-22-222-2-200000000i2i2−i2−i2000000i2−i2i2−i22-20000i2i2−i2−i2i2i2−i2−i20000002-20000000i2−i20000
χ4222-2-22200-22-22-2-2i2i2−i2−i222-2-20000i2i2−i2−i2i2i2−i2−i22-2-2222-2-200000000i2i2−i2−i2000000i2−i2−i2i2-220000i2i2−i2−i2−i2−i2i2i2000000-220000000−i2i20000
χ4322-2-22200-22-22-2-2i2i2−i2−i222-2-20000i2i2−i2−i2i2i2−i2−i2-222-2-2-22200000000i2i2−i2−i2000000−i2i2i2−i22-20000−i2−i2i2i2i2i2−i2−i2000000-220000000−i2i20000
χ4422-2-22200-22-22-2-2i2i2−i2−i222-2-20000i2i2−i2−i2i2i2−i2−i2-22-22-2-22200000000i2i2−i2−i2000000−i2i2−i2i2-220000−i2−i2i2i2−i2−i2i2i20000002-20000000i2−i20000
χ452-2-22222-22-2-2-2-222-22-22-2-2222-2-22-22-22-22-200000000000000-222-22-2002i−2i2i−2i00000000000000000000000000002i−2i2i−2i0000000
χ462-2-22222-22-2-2-2-222-22-22-2-2222-2-22-22-22-22-200000000000000-222-22-200−2i2i−2i2i0000000000000000000000000000−2i2i−2i2i0000000
χ472-2-22222-22-2-2-2-22-22-222-2-2222-2-2-22-22-22-2200000000000000-22-22-22002i−2i−2i2i00000000000000000000000000002i−2i−2i2i0000000
χ482-2-22222-22-2-2-2-22-22-222-2-2222-2-2-22-22-22-2200000000000000-22-22-2200−2i2i2i−2i0000000000000000000000000000−2i2i2i−2i0000000
χ492-2-22-122-2-1-2-21122-22-2-111-1-121-2-11-112-22-200003−33−300−i3i3−i3i31-1-11-11002i−2i2i−2i000000003−33−33−300000−i3i30−i3i30000−ii−ii0000000
χ502-2-22-122-2-1-2-21122-22-2-111-1-121-2-11-112-22-200003−33−300i3−i3i3−i31-1-11-1100−2i2i−2i2i000000003−33−33−300000i3−i30i3−i30000i−ii−i0000000
χ512-2-22-122-2-1-2-21122-22-2-111-1-121-2-11-112-22-20000−33−3300−i3i3−i3i31-1-11-1100−2i2i−2i2i00000000−33−33−3300000−i3i30−i3i30000i−ii−i0000000
χ522-2-22-122-2-1-2-21122-22-2-111-1-121-2-11-112-22-20000−33−3300i3−i3i3−i31-1-11-11002i−2i2i−2i00000000−33−33−3300000i3−i30i3−i30000−ii−ii0000000
χ532-2-22-122-2-1-2-2112-22-22-111-1-121-21-11-1-22-2200003−33−300−i3i3i3−i31-11-11-1002i−2i−2i2i000000003−3−33−3300000−i3i30i3−i30000−iii−i0000000
χ542-2-22-122-2-1-2-2112-22-22-111-1-121-21-11-1-22-2200003−33−300i3−i3−i3i31-11-11-100−2i2i2i−2i000000003−3−33−3300000i3−i30−i3i30000i−i−ii0000000
χ552-2-22-122-2-1-2-2112-22-22-111-1-121-21-11-1-22-220000−33−3300−i3i3i3−i31-11-11-100−2i2i2i−2i00000000−333−33−300000−i3i30i3−i30000i−i−ii0000000
χ562-2-22-122-2-1-2-2112-22-22-111-1-121-21-11-1-22-220000−33−3300i3−i3−i3i31-11-11-1002i−2i−2i2i00000000−333−33−300000i3−i30−i3i30000−iii−i0000000
χ5744444-2-4-44-2-244-20000-2-2-2-2-42-4200000000004400000000002200000-400000000-2-2220000000000000000000000000000000
χ5844444-2-4-44-2-244-20000-2-2-2-2-42-420000000000-4-40000000000220000040000000022-2-20000000000000000000000000000000
χ594444-24-4-4-244-2-240000-2-2-2-22-42-4000000004400-2-2-2-2000000220000-400000000000002200000000000000000000000000000
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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
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χ934-4-44-2-24-4-22222-2-44-441-1-11-2-2222-22-22-22-200000000002i3−2i3−2i32i3-11-11-110000000000000000000000000−i3i30i3−i3000000000000000
χ948888-4-4-8-8-4-4-4-4-4-40000222244440000000000000000000000-2-20000000000000000000000000000000000000000000000000
χ9588-8-8-4-4004-44-444−4i2−4i24i24i222-2-200002i22i2−2i2−2i22i22i2−2i2−2i20000000000000000−i2−i2i2i2000000000000000000000000000000000000000000000
χ9688-8-8-4-4004-44-4444i24i2−4i2−4i222-2-20000−2i2−2i22i22i2−2i2−2i22i22i20000000000000000i2i2−i2−i2000000000000000000000000000000000000000000000
χ978-88-8-4-40044-44-44−4i24i24i2−4i22-22-200002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000−i2i2i2−i2000000000000000000000000000000000000000000000
χ988-88-8-4-40044-44-444i2−4i2−4i24i22-22-20000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000i2−i2−i2i2000000000000000000000000000000000000000000000
χ998-8-88-4-4-88-44444-400002-2-2244-4-400000000000000000000002-20000000000000000000000000000000000000000000000000

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