Finite Group Databasebeta

← Group #11887581

Character table — Group #11887581

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121212121212161616161616181824242424242436363648487272
order122233446666668888366612121212242424242424242422441212121224661212121224242424444444668888121212122424242424242424666121212224412121212488121244
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
χ3111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-11-1-111-1-111-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
χ51111111111111111111111111111111111-1-1111111111111111111111-111-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1111111-1-1-1-1-1-11111111-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111
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
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1111-1-1-1111-1-11-11-1
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1-11111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1111-1-11-1-1-11-11
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1111-1-1-1-1-11-111-1-1-1111-1-11
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1111-1-1-11-1-111-111-111-1
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111-111-1-111-1-1-1-1111-1-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-1-1-1-1-11-1-111-111-11-11
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-11-1-11111-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1111-1-11-111-1-1-1111-11-1
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111111-1-1-111-1111-1-11-1-1-111-1
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1111111-1-1-1111-1-11-1-11
χ17222222-2-222222200002222-2-2-2-20000000022222222000000-2-20000-200-200220000-2-2-2-20000000000000022000000-2000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-2-2-2-2-2000000-2-20000200-20022000022-2-200000000000000-2-20000002000000
χ19222222-2-222222200002222-2-2-2-200000000-2-2222222000000-2-20000-200200-2-20000-2-22200000000000000-2-20000002000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-2-2-2-2-2000000-2-20000200200-2-2000022220000000000000022000000-2000000
χ2122222-122-12-122-12222-1-1-1-1-122-12222-1-1-1-122000000222222-1-1-1-1-1-1000200-1-1002200-1-10000-1-1-1-1-1-1-1-1-1-100220000000-1-100
χ2222222-122-12-122-12222-1-1-1-1-122-12222-1-1-1-122000000-2-2-2-2-2-2-1-1-1-1-1-1000200-1-1002200-1-10000-1-1-1-111111100-2-200000001100
χ2322222-122-12-122-12222-1-1-1-1-122-12222-1-1-1-1-2-2000000222222-1-1-1-1-1-1000-2001100-2-2001100001111-1-1-1-1-1-100-2-200000001100
χ2422222-122-12-122-12222-1-1-1-1-122-12222-1-1-1-1-2-2000000-2-2-2-2-2-2-1-1-1-1-1-1000-2001100-2-200110000111111111100220000000-1-100
χ2522222-122-12-122-1-2-2-2-2-1-1-1-1-122-1-2-2-2-21111220000002-222-2-2-1-11111000200-1-100-2-200-1-100001111-1-1-1111002-20000000-1100
χ2622222-122-12-122-1-2-2-2-2-1-1-1-1-122-1-2-2-2-2111122000000-22-2-222-1-11111000200-1-100-2-200-1-100001111111-1-1-100-2200000001-100
χ2722222-122-12-122-1-2-2-2-2-1-1-1-1-122-1-2-2-2-21111-2-20000002-222-2-2-1-11111000-20011002200110000-1-1-1-1-1-1-111100-2200000001-100
χ2822222-122-12-122-1-2-2-2-2-1-1-1-1-122-1-2-2-2-21111-2-2000000-22-2-222-1-11111000-20011002200110000-1-1-1-1111-1-1-1002-20000000-1100
χ292222-12222-12-1-122222-1-1-1-12-1-12-1-1-1-122220022-1-1-1-122-1-1-1-1-1-1-1-1-1-1222022002200-1-100-1-1-1-100002-1-12-1-10000-1-1-1-10000000
χ302222-12222-12-1-122222-1-1-1-12-1-12-1-1-1-122220022-1-1-1-1-2-21111-1-1-1-1-1-12-2-20-2-2002200-1-100-1-1-1-10000-211-211000011110000000
χ312222-12222-12-1-122222-1-1-1-12-1-12-1-1-1-1222200-2-2111122-1-1-1-1-1-1-1-1-1-1-2-2-20-2-200-2-2001100111100002-1-12-1-1000011110000000
χ322222-12222-12-1-122222-1-1-1-12-1-12-1-1-1-1222200-2-21111-2-21111-1-1-1-1-1-1-22202200-2-200110011110000-211-2110000-1-1-1-10000000
χ332222-12222-12-1-12-2-2-2-2-1-1-1-12-1-121111-2-2-2-20022-1-1-1-12-2-1-111-1-111112220-2-200-2-200-1-100111100002-1-1-211000011-1-10000000
χ342222-12222-12-1-12-2-2-2-2-1-1-1-12-1-121111-2-2-2-20022-1-1-1-1-2211-1-1-1-111112-2-202200-2-200-1-10011110000-2112-1-10000-1-1110000000
χ352222-12222-12-1-12-2-2-2-2-1-1-1-12-1-121111-2-2-2-200-2-211112-2-1-111-1-11111-2-2-20220022001100-1-1-1-100002-1-1-2110000-1-1110000000
χ362222-12222-12-1-12-2-2-2-2-1-1-1-12-1-121111-2-2-2-200-2-21111-2211-1-1-1-11111-2220-2-20022001100-1-1-1-10000-2112-1-1000011-1-10000000
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χ392-22-22200-2-22-22-2−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2i2i2-222-222-2-200000000−i2−i2i2i2000000-22−i2i2i2−i20000−i2−i2i2i2i2i2−i2−i2000000-220000000i2−i20000
χ402-22-22200-2-22-22-2−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2i2i2-22-22-2-22200000000−i2−i2i2i2000000-22i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i20000002-20000000−i2i20000
χ412-22-22200-2-22-22-2i2i2−i2−i222-2-20000i2i2−i2−i2i2i2−i2−i22-22-222-2-200000000i2i2−i2−i20000002-2i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i20000002-20000000i2−i20000
χ422-22-22200-2-22-22-2i2i2−i2−i222-2-20000i2i2−i2−i2i2i2−i2−i22-2-22-2-22200000000i2i2−i2−i20000002-2−i2i2i2−i20000−i2−i2i2i2i2i2−i2−i2000000-220000000−i2i20000
χ432-22-22200-2-22-22-2i2i2−i2−i222-2-20000i2i2−i2−i2i2i2−i2−i2-222-222-2-200000000i2i2−i2−i2000000-22i2−i2−i2i20000i2i2−i2−i2−i2−i2i2i2000000-220000000−i2i20000
χ442-22-22200-2-22-22-2i2i2−i2−i222-2-20000i2i2−i2−i2i2i2−i2−i2-22-22-2-22200000000i2i2−i2−i2000000-22−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i20000002-20000000i2−i20000
χ452-2-22222-2-2-2-22-222i−2i2i−2i2-22-22-22-22i−2i2i−2i2i−2i2i−2i000000000000002-22i−2i2i−2i02i−2i02-200000000000000000000000000002-22i−2i0000000
χ462-2-22222-2-2-2-22-222i−2i2i−2i2-22-22-22-22i−2i2i−2i2i−2i2i−2i000000000000002-22i−2i2i−2i0−2i2i0-220000000000000000000000000000-22−2i2i0000000
χ472-2-22222-2-2-2-22-22−2i2i−2i2i2-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000002-2−2i2i−2i2i02i−2i0-220000000000000000000000000000-222i−2i0000000
χ482-2-22222-2-2-2-22-22−2i2i−2i2i2-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000002-2−2i2i−2i2i0−2i2i02-200000000000000000000000000002-2−2i2i0000000
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χ542-2-22-122-2-21-2-112−2i2i−2i2i-11-1121-1-2i−ii−i−2i2i−2i2i00003−33−300i3−i33−3-11i−ii−i0−2i2i02-20000003−300i3−i3i3−i300000i3−i303−30000-11i−i0000000
χ552-2-22-122-2-21-2-112−2i2i−2i2i-11-1121-1-2i−ii−i−2i2i−2i2i0000−33−3300−i3i3−33-11i−ii−i0−2i2i02-2000000−3300−i3i3−i3i300000−i3i30−330000-11i−i0000000
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χ9588-8-8-4-400-4-4444442−42−42422-2-220000−222222−22−222222−2200000000000000002−2−22000000000000000000000000000000000000000000000
χ9688-8-8-4-400-4-44444−424242−422-2-22000022−22−222222−22−22220000000000000000−222−2000000000000000000000000000000000000000000000
χ978-88-8-4-40044-44-44−4i2−4i24i24i222-2-200002i22i2−2i2−2i22i22i2−2i2−2i20000000000000000−i2−i2i2i2000000000000000000000000000000000000000000000
χ988-88-8-4-40044-44-444i24i2−4i2−4i222-2-20000−2i2−2i22i22i2−2i2−2i22i22i20000000000000000i2i2−i2−i2000000000000000000000000000000000000000000000
χ998-8-88-4-4-88444-44-400002-22-24-44-40000000000000000000000-220000000000000000000000000000000000000000000000000

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