Finite Group Databasebeta

← Group #11887559

Character table — Group #11887559

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121212121212161616161616181824242424242436363648487272
order122233446666668888366612121212242424242424242422226666441212121212122424242444444466888812121212242424242424242412121212121244241212121248861244
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
χ3111111111111111111111111111111111111-1-111111111111111111-11111-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-11111-1-1-1-1-1-11111111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-111-1-1-1-1111111111111-11-1-1-1-111-1-11111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-11111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
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
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111-11-1-1111-1-1-111-1
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1111-111-1-11-1-11-1-11
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111-1-1-11111-1-1-1-11-111-1-1-1-1-1-111-1-111-1-1-1-11111-11-1-111-1-11-1-1-111-1111-1-11
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1111-1-111-1-1-1-11-1-1-111-1-1-1-111-1-111-1-1-1-111111-111-1-1-1-1-1111-1-1-111-111-1
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-11111-1-1-1-1-11-1-1111111-1-111-1-11111-1-1-1-1-11-1-111-1-1-1111-1-1-111-11-11
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-111-1-1-1-1-1111-1-11111-1-111-1-11111-1-1-1-11-111-1-1-1-11-1-1-111-1111-11-1
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-11-1-111111-111-1-11-1-11-11-1
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111-111-1-111-11-1-1111-1-1-11-11
χ17222222-2-222222200002222-2-2-2-20000000022222222000000-2-20000-2-20000220000-2-2-2-20000000000000022000000-2000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-22222000000-2-20000-220000-2-2000022-2-200000000000000-2-20000002000000
χ19222222-2-222222200002222-2-2-2-200000000-2-222-2-2-2-2000000-2-200002-20000220000-2-22200000000000000-2-20000002000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-2-2-2-2-2000000-2-20000220000-2-2000022220000000000000022000000-2000000
χ2122222-1222-1-1-1222222-1-1-1-1-12-122222-1-1-1-100220000222222-1-1-1-1-1-1020000-1-10022-1-1000000-1-1-1-1-1-1-1-1-1-100220000000-1-100
χ2222222-1222-1-1-1222222-1-1-1-1-12-122222-1-1-1-100220000-2-2-2-2-2-2-1-1-1-1-1-1020000-1-10022-1-1000000-1-1-1-111111100-2-200000001100
χ2322222-1222-1-1-1222222-1-1-1-1-12-122222-1-1-1-100-2-20000222222-1-1-1-1-1-10-200001100-2-2110000001111-1-1-1-1-1-100-2-200000001100
χ2422222-1222-1-1-1222222-1-1-1-1-12-122222-1-1-1-100-2-20000-2-2-2-2-2-2-1-1-1-1-1-10-200001100-2-211000000111111111100220000000-1-100
χ2522222-1222-1-1-122-2-2-2-2-1-1-1-1-12-12-2-2-2-21111002200002-2-2-222-1-11111020000-1-100-2-2-1-100000011111-111-1-100-2200000001-100
χ2622222-1222-1-1-122-2-2-2-2-1-1-1-1-12-12-2-2-2-2111100220000-2222-2-2-1-11111020000-1-100-2-2-1-10000001111-11-1-111002-20000000-1100
χ2722222-1222-1-1-122-2-2-2-2-1-1-1-1-12-12-2-2-2-2111100-2-200002-2-2-222-1-111110-2000011002211000000-1-1-1-11-111-1-1002-20000000-1100
χ2822222-1222-1-1-122-2-2-2-2-1-1-1-1-12-12-2-2-2-2111100-2-20000-2222-2-2-1-111110-2000011002211000000-1-1-1-1-11-1-11100-2200000001-100
χ292222-1222-1222-1-12222-1-1-1-12-12-1-1-1-1-122222200-1-1-1-122-1-1-1-1-1-1-1-1-1-120222200220000-1-1-1-1-1-1000022-1-1-1-10000-1-1-1-10000000
χ302222-1222-1222-1-12222-1-1-1-12-12-1-1-1-1-122222200-1-1-1-1-2-21111-1-1-1-1-1-120-2-2-2-200220000-1-1-1-1-1-10000-2-21111000011110000000
χ312222-1222-1222-1-12222-1-1-1-12-12-1-1-1-1-12222-2-200111122-1-1-1-1-1-1-1-1-1-1-20-2-2-2-200-2-20000111111000022-1-1-1-1000011110000000
χ322222-1222-1222-1-12222-1-1-1-12-12-1-1-1-1-12222-2-2001111-2-21111-1-1-1-1-1-1-20222200-2-200001111110000-2-211110000-1-1-1-10000000
χ332222-1222-1222-1-1-2-2-2-2-1-1-1-12-12-11111-2-2-2-22200-1-1-1-12-211-1-1-1-111112022-2-200-2-20000-1-111110000-2211-1-1000011-1-10000000
χ342222-1222-1222-1-1-2-2-2-2-1-1-1-12-12-11111-2-2-2-22200-1-1-1-1-22-1-111-1-1111120-2-22200-2-20000-1-1111100002-2-1-1110000-1-1110000000
χ352222-1222-1222-1-1-2-2-2-2-1-1-1-12-12-11111-2-2-2-2-2-20011112-211-1-1-1-11111-20-2-2220022000011-1-1-1-10000-2211-1-10000-1-1110000000
χ362222-1222-1222-1-1-2-2-2-2-1-1-1-12-12-11111-2-2-2-2-2-2001111-22-1-111-1-11111-2022-2-20022000011-1-1-1-100002-2-1-111000011-1-10000000
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χ392-22-222-22-2-22-2-22−2i−2i2i2i2-2-2222-2-2−2i−2i2i2i−2i−2i2i2i000000000000002-2−2i−2i2i2i002-2−2i2i0000000000000000000000000000−2i2i2-20000000
χ402-22-222-22-2-22-2-22−2i−2i2i2i2-2-2222-2-2−2i−2i2i2i−2i−2i2i2i000000000000002-2−2i−2i2i2i00-222i−2i00000000000000000000000000002i−2i-220000000
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χ432-22-2-12-221-22-21-12i2i−2i−2i-111-12-1-21−i−iii2i2i−2i−2i0000i3i3−i3−i3003−3−i3i3-11−i−iii00-22−2i2i00000000i3−i3−3−3330000003−3−i3i30000i−i1-10000000
χ442-22-2-12-221-22-21-12i2i−2i−2i-111-12-1-21−i−iii2i2i−2i−2i0000i3i3−i3−i300−33i3−i3-11−i−iii002-22i−2i00000000i3−i3−3−333000000−33i3−i30000−ii-110000000
χ452-22-2-12-221-22-21-1−2i−2i2i2i-111-12-1-21ii−i−i−2i−2i2i2i0000−i3−i3i3i3003−3i3−i3-11ii−i−i00-222i−2i00000000−i3i3−3−3330000003−3i3−i30000−ii1-10000000
χ462-22-2-12-221-22-21-1−2i−2i2i2i-111-12-1-21ii−i−i−2i−2i2i2i0000−i3−i3i3i300−33−i3i3-11ii−i−i002-2−2i2i00000000−i3i3−3−333000000−33−i3i30000i−i-110000000
χ472-22-2-12-221-22-21-1−2i−2i2i2i-111-12-1-21ii−i−i−2i−2i2i2i0000i3i3−i3−i3003−3i3−i3-11ii−i−i002-2−2i2i00000000i3−i333−3−30000003−3i3−i30000i−i-110000000
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χ522-2-222200-22-2-22-2−i2i2−i2i22-22-20000−i2i2−i2i2−i2i2−i2i2-22-22-22-2200000000−i2i2−i2i2000000-22i2−i2i2−i20000i2−i2i2−i2i2i2−i2−i20000002-20000000−i2i20000
χ532-2-222200-22-2-22-2i2−i2i2−i22-22-20000i2−i2i2−i2i2−i2i2−i22-22-22-22-200000000i2−i2i2−i20000002-2i2−i2i2−i20000i2−i2i2−i2i2i2−i2−i20000002-20000000i2−i20000
χ542-2-222200-22-2-22-2i2−i2i2−i22-22-20000i2−i2i2−i2i2−i2i2−i22-2-222-22-200000000i2−i2i2−i2000000-22i2−i2−i2i20000i2−i2i2−i2−i2−i2i2i2000000-220000000−i2i20000
χ552-2-222200-22-2-22-2i2−i2i2−i22-22-20000i2−i2i2−i2i2−i2i2−i2-222-2-22-2200000000i2−i2i2−i20000002-2−i2i2i2−i20000−i2i2−i2i2i2i2−i2−i2000000-220000000−i2i20000
χ562-2-222200-22-2-22-2i2−i2i2−i22-22-20000i2−i2i2−i2i2−i2i2−i2-22-22-22-2200000000i2−i2i2−i2000000-22−i2i2−i2i20000−i2i2−i2i2−i2−i2i2i20000002-20000000i2−i20000
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χ924-4-44-240024-4-4-222i2−2i22i2−2i2-22-220000−i2i2−i2i22i2−2i22i2−2i24-400-22-2200000000−i2i2−i2i2000000002i2−2i2000000−i2i2−i2i20000000000000000000000000
χ934-4-44-240024-4-4-222i2−2i22i2−2i2-22-220000−i2i2−i2i22i2−2i22i2−2i2-44002-22-200000000−i2i2−i2i200000000−2i22i2000000i2−i2i2−i20000000000000000000000000
χ948888-4-4-8-8-4-4-4-4-4-40000222244440000000000000000000000-2-20000000000000000000000000000000000000000000000000
χ9588-8-8-4-400-444-44442−42−424222-2-20000−222222−22−222222−2200000000000000002−2−22000000000000000000000000000000000000000000000
χ9688-8-8-4-400-444-444−424242−4222-2-2000022−22−222222−22−22220000000000000000−222−2000000000000000000000000000000000000000000000
χ978-88-8-4-48-844-444-400002-2-2244-4-40000000000000000000000-220000000000000000000000000000000000000000000000000
χ988-8-88-4-4004-444-44−4i24i2−4i24i22-22-200002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000−i2i2−i2i2000000000000000000000000000000000000000000000
χ998-8-88-4-4004-444-444i2−4i24i2−4i22-22-20000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000i2−i2i2−i2000000000000000000000000000000000000000000000

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