Finite Group Databasebeta

← Group #11887558

Character table — Group #11887558

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121212121212161616161616181824242424242436363648487272
order122233446666668888366612121212242424242424242422446666441212121212122424242444444488881212121212122424242424242424121212121212224412121212488121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-111-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1
χ3111111111111111111111111111111111111-1-1111111111111111111-1111-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-11-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-111-1-1-1-1111111111111-1-11-1-1-111-1-11111-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
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
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1111-111-1-11-1-1-111-1
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-11111-11-1-1111-1-11-1-11
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111-111-1-111-1-1-1-111-11-1-111-1-1-1-1-1-1111111-1-1-1-1-1111-1-1-1-1-1111-1-1-1111-1-11
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-11-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-11-1-1-111-1-11-1-1-111-111-111-1
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-111-1-1-1-1-1-11-111-1-1111111-1-1-1-1-1-11111-1111-1-1-1-11-1-1-111-111-11-11
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-111111-1-1-111-1-1-1111-1-1-1111-11-1
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1111-1-111-11-1-1111-1-11-11-1
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111111-1-1-111111-111-1-11-1-1-11-11
χ17222222-2-222222200002222-2-2-2-20000000022222222000000-2-2000000-2-2000000-2-222-2-20000000000000022000000-2000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-22222000000-2-20000002-200000022-2-2-2-200000000000000-2-20000002000000
χ19222222-2-222222200002222-2-2-2-200000000-2-222-2-2-2-2000000-2-2000000-22000000-2-2222200000000000000-2-20000002000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-2-2-2-2-2000000-2-20000002200000022-2-2220000000000000022000000-2000000
χ2122222-122-12-122-12222-1-1-1-1-122-12222-1-1-1-12200-1-1-1-122-1-1-1-1-1-1-1-1-1-122022200220000-1-10000-1-1-1-122-1-1-1-10000-1-1-1-10000000
χ2222222-122-12-122-12222-1-1-1-1-122-12222-1-1-1-12200-1-1-1-1-2-21111-1-1-1-1-1-1-2-202-2-200220000-1-10000-1-1-1-1-2-21111000011110000000
χ2322222-122-12-122-12222-1-1-1-1-122-12222-1-1-1-1-2-200111122-1-1-1-1-1-1-1-1-1-1-2-20-2-2-200-2-20000110000111122-1-1-1-1000011110000000
χ2422222-122-12-122-12222-1-1-1-1-122-12222-1-1-1-1-2-2001111-2-21111-1-1-1-1-1-1220-22200-2-200001100001111-2-211110000-1-1-1-10000000
χ2522222-122-12-122-1-2-2-2-2-1-1-1-1-122-1-2-2-2-211112200-1-1-1-12-2-1-111-1-111112202-2-200-2-20000-1-100001111-22-1-1110000-1-1110000000
χ2622222-122-12-122-1-2-2-2-2-1-1-1-1-122-1-2-2-2-211112200-1-1-1-1-2211-1-1-1-11111-2-2022200-2-20000-1-1000011112-211-1-1000011-1-10000000
χ2722222-122-12-122-1-2-2-2-2-1-1-1-1-122-1-2-2-2-21111-2-20011112-2-1-111-1-11111-2-20-22200220000110000-1-1-1-1-22-1-111000011-1-10000000
χ2822222-122-12-122-1-2-2-2-2-1-1-1-1-122-1-2-2-2-21111-2-2001111-2211-1-1-1-11111220-2-2-200220000110000-1-1-1-12-211-1-10000-1-1110000000
χ292222-12222-12-1-122222-1-1-1-12-1-12-1-1-1-1222200220000222222-1-1-1-1-1-10020002200-1-1-1-100-1-1-1-10000-1-1-1-1-1-100220000000-1-100
χ302222-12222-12-1-122222-1-1-1-12-1-12-1-1-1-1222200220000-2-2-2-2-2-2-1-1-1-1-1-10020002200-1-1-1-100-1-1-1-1000011111100-2-200000001100
χ312222-12222-12-1-122222-1-1-1-12-1-12-1-1-1-1222200-2-20000222222-1-1-1-1-1-100-2000-2-20011110011110000-1-1-1-1-1-100-2-200000001100
χ322222-12222-12-1-122222-1-1-1-12-1-12-1-1-1-1222200-2-20000-2-2-2-2-2-2-1-1-1-1-1-100-2000-2-2001111001111000011111100220000000-1-100
χ332222-12222-12-1-12-2-2-2-2-1-1-1-12-1-121111-2-2-2-2002200002-222-2-2-1-11111002000-2-200-1-1-1-100111100001-1-1-111002-200000001-100
χ342222-12222-12-1-12-2-2-2-2-1-1-1-12-1-121111-2-2-2-200220000-22-2-222-1-11111002000-2-200-1-1-1-10011110000-1111-1-100-220000000-1100
χ352222-12222-12-1-12-2-2-2-2-1-1-1-12-1-121111-2-2-2-200-2-200002-222-2-2-1-1111100-20002200111100-1-1-1-100001-1-1-11100-220000000-1100
χ362222-12222-12-1-12-2-2-2-2-1-1-1-12-1-121111-2-2-2-200-2-20000-22-2-222-1-1111100-20002200111100-1-1-1-10000-1111-1-1002-200000001-100
χ3722-2-22200-2-22-22-2−i2−i2i2i22-22-20000−i2−i2i2i2−i2−i2i2i22-22-222-2-200000000−i2−i2i2i2000000−i2i2−i2i2002-200−i2−i2i2i2−i2−i2i2i20000002-20000000−i2i20000
χ3822-2-22200-2-22-22-2−i2−i2i2i22-22-20000−i2−i2i2i2−i2−i2i2i22-2-2222-2-200000000−i2−i2i2i2000000i2−i2−i2i200-2200i2i2−i2−i2−i2−i2i2i2000000-220000000i2−i20000
χ3922-2-22200-2-22-22-2−i2−i2i2i22-22-20000−i2−i2i2i2−i2−i2i2i2-222-2-2-22200000000−i2−i2i2i2000000−i2i2i2−i2002-200−i2−i2i2i2i2i2−i2−i2000000-220000000i2−i20000
χ4022-2-22200-2-22-22-2−i2−i2i2i22-22-20000−i2−i2i2i2−i2−i2i2i2-22-22-2-22200000000−i2−i2i2i2000000i2−i2i2−i200-2200i2i2−i2−i2i2i2−i2−i20000002-20000000−i2i20000
χ4122-2-22200-2-22-22-2i2i2−i2−i22-22-20000i2i2−i2−i2i2i2−i2−i22-22-222-2-200000000i2i2−i2−i2000000i2−i2i2−i2002-200i2i2−i2−i2i2i2−i2−i20000002-20000000i2−i20000
χ4222-2-22200-2-22-22-2i2i2−i2−i22-22-20000i2i2−i2−i2i2i2−i2−i22-2-2222-2-200000000i2i2−i2−i2000000−i2i2i2−i200-2200−i2−i2i2i2i2i2−i2−i2000000-220000000−i2i20000
χ4322-2-22200-2-22-22-2i2i2−i2−i22-22-20000i2i2−i2−i2i2i2−i2−i2-222-2-2-22200000000i2i2−i2−i2000000i2−i2−i2i2002-200i2i2−i2−i2−i2−i2i2i2000000-220000000−i2i20000
χ4422-2-22200-2-22-22-2i2i2−i2−i22-22-20000i2i2−i2−i2i2i2−i2−i2-22-22-2-22200000000i2i2−i2−i2000000−i2i2−i2i200-2200−i2−i2i2i2−i2−i2i2i20000002-20000000i2−i20000
χ452-2-22222-2-2-2-22-222i−2i2i−2i2-2-222-22-22i−2i2i−2i2i−2i2i−2i000000000000002-22i−2i2i−2i2i−2i002-200000000000000000000000000002i−2i2-20000000
χ462-2-22222-2-2-2-22-222i−2i2i−2i2-2-222-22-22i−2i2i−2i2i−2i2i−2i000000000000002-22i−2i2i−2i−2i2i00-220000000000000000000000000000−2i2i-220000000
χ472-2-22222-2-2-2-22-22−2i2i−2i2i2-2-222-22-2−2i2i−2i2i−2i2i−2i2i000000000000002-2−2i2i−2i2i2i−2i00-2200000000000000000000000000002i−2i-220000000
χ482-2-22222-2-2-2-22-22−2i2i−2i2i2-2-222-22-2−2i2i−2i2i−2i2i−2i2i000000000000002-2−2i2i−2i2i−2i2i002-20000000000000000000000000000−2i2i2-20000000
χ492-2-222-12-21-212-2-12i−2i2i−2i-111-1-1-2212i−2i2i−2i−ii−ii0000−i3i3−i3i3003−3−i3i3-11−ii−ii2i−2i002-200000000−i3i300003−33−3003−3−i3i30000−ii-110000000
χ502-2-222-12-21-212-2-12i−2i2i−2i-111-1-1-2212i−2i2i−2i−ii−ii0000−i3i3−i3i300−33i3−i3-11−ii−ii−2i2i00-2200000000−i3i300003−33−300−33i3−i30000i−i1-10000000
χ512-2-222-12-21-212-2-12i−2i2i−2i-111-1-1-2212i−2i2i−2i−ii−ii0000i3−i3i3−i3003−3−i3i3-11−ii−ii−2i2i00-2200000000i3−i30000−33−33003−3−i3i30000i−i1-10000000
χ522-2-222-12-21-212-2-12i−2i2i−2i-111-1-1-2212i−2i2i−2i−ii−ii0000i3−i3i3−i300−33i3−i3-11−ii−ii2i−2i002-200000000i3−i30000−33−3300−33i3−i30000−ii-110000000
χ532-2-222-12-21-212-2-1−2i2i−2i2i-111-1-1-221−2i2i−2i2ii−ii−i0000−i3i3−i3i3003−3i3−i3-11i−ii−i2i−2i00-2200000000−i3i30000−33−33003−3i3−i30000−ii1-10000000
χ542-2-222-12-21-212-2-1−2i2i−2i2i-111-1-1-221−2i2i−2i2ii−ii−i0000−i3i3−i3i300−33−i3i3-11i−ii−i−2i2i002-200000000−i3i30000−33−3300−33−i3i30000i−i-110000000
χ552-2-222-12-21-212-2-1−2i2i−2i2i-111-1-1-221−2i2i−2i2ii−ii−i0000i3−i3i3−i3003−3i3−i3-11i−ii−i−2i2i002-200000000i3−i300003−33−3003−3i3−i30000i−i-110000000
χ562-2-222-12-21-212-2-1−2i2i−2i2i-111-1-1-221−2i2i−2i2ii−ii−i0000i3−i3i3−i300−33−i3i3-11i−ii−i2i−2i00-2200000000i3−i300003−33−300−33−i3i30000−ii1-10000000
χ5744444-2-4-4-24-244-20000-2-2-2-22-4-42000000004400-2-2-2-2000000220000000-400000000002200000000000000000000000000000
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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
χ634444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-222222222000000004-4-2-22211-1-1-1-10000000000000000000000002-211-1-1000000000000000
χ644444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-22222222200000000-4422-2-211-1-1-1-1000000000000000000000000-22-1-111000000000000000
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χ924-4-44-2-24-4222-22-2−4i4i−4i4i1-1-11-22-222i−2i2i−2i2i−2i2i−2i000000000023−232i3−2i31-1−ii−ii00000000000000000000000000−33−i3i3000000000000000
χ934-4-44-2-24-4222-22-2−4i4i−4i4i1-1-11-22-222i−2i2i−2i2i−2i2i−2i0000000000−2323−2i32i31-1−ii−ii000000000000000000000000003−3i3−i3000000000000000
χ948888-4-4-8-8-4-4-4-4-4-40000222244440000000000000000000000-2-20000000000000000000000000000000000000000000000000
χ9588-8-8-4-40044-44-44−4i2−4i24i24i22-22-200002i22i2−2i2−2i22i22i2−2i2−2i20000000000000000−i2−i2i2i2000000000000000000000000000000000000000000000
χ9688-8-8-4-40044-44-444i24i2−4i2−4i22-22-20000−2i2−2i22i22i2−2i2−2i22i22i20000000000000000i2i2−i2−i2000000000000000000000000000000000000000000000
χ978-88-8-4-400-4-4444442−42−424222-2-20000−222222−22−222222−2200000000000000002−2−22000000000000000000000000000000000000000000000
χ988-88-8-4-400-4-44444−424242−4222-2-2000022−22−222222−22−22220000000000000000−222−2000000000000000000000000000000000000000000000
χ998-8-88-4-4-88444-44-400002-2-224-44-40000000000000000000000-220000000000000000000000000000000000000000000000000

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