Finite Group Databasebeta

← Group #11887450

Character table — Group #11887450

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121212121212161616161616181824242424242436363648487272
order12223344666666888836661212121224242424242424242244666624661212121224242424224444888812121212121224242424242424246661212124444661212288121224
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
χ3111111111111111111111111111111111111-1-1111111111111111111-1111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-111-1-1-1-1111111111111-1-11-1-1-111-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
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
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-111-1111-1-11-1-11-1-11
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111-1-1-111-1
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111-111-1-111-1-1-1-111-11-1-111-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-11-111-1-1-111-111-1
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-11-1-11111-1-1-1-1-1-1-111111-1-111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-11-1-111-1111-1-11
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-111-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-11111111-1-1-1-1-1-11-1-111-1111-11-1
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1111-1-11-111-1-1-111-11-11
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111111-1-1-1111-1-1-1111-1-1-11-11
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-111111-1111-1-11-1-11-11-1
χ17222222-2-222222200002222-2-2-2-20000000022222222000000-2-2000000-2-2000000-2-222-2-20000000000000022000000-2000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-22222000000-2-20000002-2000000-2-2-2-22200000000000000-2-20000002000000
χ19222222-2-222222200002222-2-2-2-200000000-2-222-2-2-2-2000000-2-2000000-220000002222-2-200000000000000-2-20000002000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-2-2-2-2-2000000-2-20000002200000022-2-2220000000000000022000000-2000000
χ2122222-122-1-122-122222-1-1-1-1-122-12222-1-1-1-12200-1-1-1-122-1-1-1-1-1-1-1-1-1-12202220022-1-100000000-1-1-1-12-1-12-1-10000-1-1-1-10000000
χ2222222-122-1-122-122222-1-1-1-1-122-12222-1-1-1-12200-1-1-1-1-2-21111-1-1-1-1-1-1-2-202-2-20022-1-100000000-1-1-1-1-211-211000011110000000
χ2322222-122-1-122-122222-1-1-1-1-122-12222-1-1-1-1-2-200111122-1-1-1-1-1-1-1-1-1-1-2-20-2-2-200-2-2110000000011112-1-12-1-1000011110000000
χ2422222-122-1-122-122222-1-1-1-1-122-12222-1-1-1-1-2-2001111-2-21111-1-1-1-1-1-1220-22200-2-211000000001111-211-2110000-1-1-1-10000000
χ2522222-122-1-122-12-2-2-2-2-1-1-1-1-122-1-2-2-2-211112200-1-1-1-12-2-1-111-1-111112202-2-200-2-2-1-10000000011112-1-1-2110000-1-1110000000
χ2622222-122-1-122-12-2-2-2-2-1-1-1-1-122-1-2-2-2-211112200-1-1-1-1-2211-1-1-1-11111-2-2022200-2-2-1-1000000001111-2112-1-1000011-1-10000000
χ2722222-122-1-122-12-2-2-2-2-1-1-1-1-122-1-2-2-2-21111-2-20011112-2-1-111-1-11111-2-20-22200221100000000-1-1-1-12-1-1-211000011-1-10000000
χ2822222-122-1-122-12-2-2-2-2-1-1-1-1-122-1-2-2-2-21111-2-2001111-2211-1-1-1-11111220-2-2-200221100000000-1-1-1-1-2112-1-10000-1-1110000000
χ292222-122222-1-12-12222-1-1-1-12-1-12-1-1-1-1222200220000222222-1-1-1-1-1-1002000220000-1-1-1-1-1-1-1-10000-1-1-1-1-1-100220000000-1-100
χ302222-122222-1-12-12222-1-1-1-12-1-12-1-1-1-1222200220000-2-2-2-2-2-2-1-1-1-1-1-1002000220000-1-1-1-1-1-1-1-1000011111100-2-200000001100
χ312222-122222-1-12-12222-1-1-1-12-1-12-1-1-1-1222200-2-20000222222-1-1-1-1-1-100-2000-2-20000111111110000-1-1-1-1-1-100-2-200000001100
χ322222-122222-1-12-12222-1-1-1-12-1-12-1-1-1-1222200-2-20000-2-2-2-2-2-2-1-1-1-1-1-100-2000-2-2000011111111000011111100220000000-1-100
χ332222-122222-1-12-1-2-2-2-2-1-1-1-12-1-121111-2-2-2-2002200002-222-2-2-1-11111002000-2-20000-1-1-1-111110000-1-1-111100-220000000-1100
χ342222-122222-1-12-1-2-2-2-2-1-1-1-12-1-121111-2-2-2-200220000-22-2-222-1-11111002000-2-20000-1-1-1-111110000111-1-1-1002-200000001-100
χ352222-122222-1-12-1-2-2-2-2-1-1-1-12-1-121111-2-2-2-200-2-200002-222-2-2-1-1111100-20002200001111-1-1-1-10000-1-1-1111002-200000001-100
χ362222-122222-1-12-1-2-2-2-2-1-1-1-12-1-121111-2-2-2-200-2-20000-22-2-222-1-1111100-20002200001111-1-1-1-10000111-1-1-100-220000000-1100
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χ3822-2-222002-2-2-2-22−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2i2i22-2−2i2i22-2-200000000−i2−i2i2i2000000−22−i2i200−2i2i00−2−222−i2−i2i2i2000000−2i2i0000000−220000
χ3922-2-222002-2-2-2-22−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2i2i2-222i−2i-2-22200000000−i2−i2i2i20000002−2i2−i2002i−2i0022−2−2i2i2−i2−i2000000−2i2i0000000−220000
χ4022-2-222002-2-2-2-22−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2i2i2-22−2i2i-2-22200000000−i2−i2i2i2000000−22i2−i200−2i2i00−2−222i2i2−i2−i20000002i−2i00000002−20000
χ4122-2-222002-2-2-2-22i2i2−i2−i222-2-20000i2i2−i2−i2i2i2−i2−i22-22i−2i22-2-200000000i2i2−i2−i2000000−22i2−i2002i−2i00−2−222i2i2−i2−i20000002i−2i0000000−220000
χ4222-2-222002-2-2-2-22i2i2−i2−i222-2-20000i2i2−i2−i2i2i2−i2−i22-2−2i2i22-2-200000000i2i2−i2−i20000002−2i2−i200−2i2i0022−2−2i2i2−i2−i2000000−2i2i00000002−20000
χ4322-2-222002-2-2-2-22i2i2−i2−i222-2-20000i2i2−i2−i2i2i2−i2−i2-222i−2i-2-22200000000i2i2−i2−i2000000−22−i2i2002i−2i00−2−222−i2−i2i2i2000000−2i2i00000002−20000
χ4422-2-222002-2-2-2-22i2i2−i2−i222-2-20000i2i2−i2−i2i2i2−i2−i2-22−2i2i-2-22200000000i2i2−i2−i20000002−2−i2i200−2i2i0022−2−2−i2−i2i2i20000002i−2i0000000−220000
χ452-22-2222-2-22-22-2-22i−2i2i−2i2-22-22-22-22i−2i2i−2i2i−2i2i−2i000000000000002-22i−2i2i−2i2-2002i−2i00000000000000000000000000002-22i−2i0000000
χ462-22-2222-2-22-22-2-22i−2i2i−2i2-22-22-22-22i−2i2i−2i2i−2i2i−2i000000000000002-22i−2i2i−2i-2200−2i2i0000000000000000000000000000-22−2i2i0000000
χ472-22-2222-2-22-22-2-2−2i2i−2i2i2-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000002-2−2i2i−2i2i2-200−2i2i00000000000000000000000000002-2−2i2i0000000
χ482-22-2222-2-22-22-2-2−2i2i−2i2i2-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000002-2−2i2i−2i2i-22002i−2i0000000000000000000000000000-222i−2i0000000
χ492-22-22-12-21-1-221-22i−2i2i−2i-11-11-1-2212i−2i2i−2i−ii−ii0000−i3i3−i3i300−i3i33−3-11−ii−ii2-2002i−2i0000−i3i3000000003−33−30−i3i303−30000-11−ii0000000
χ502-22-22-12-21-1-221-22i−2i2i−2i-11-11-1-2212i−2i2i−2i−ii−ii0000−i3i3−i3i300i3−i3−33-11−ii−ii-2200−2i2i0000−i3i3000000003−33−30i3−i30−3300001-1i−i0000000
χ512-22-22-12-21-1-221-22i−2i2i−2i-11-11-1-2212i−2i2i−2i−ii−ii0000i3−i3i3−i300−i3i33−3-11−ii−ii-2200−2i2i0000i3−i300000000−33−330−i3i303−300001-1i−i0000000
χ522-22-22-12-21-1-221-22i−2i2i−2i-11-11-1-2212i−2i2i−2i−ii−ii0000i3−i3i3−i300i3−i3−33-11−ii−ii2-2002i−2i0000i3−i300000000−33−330i3−i30−330000-11−ii0000000
χ532-22-22-12-21-1-221-2−2i2i−2i2i-11-11-1-221−2i2i−2i2ii−ii−i0000−i3i3−i3i300−i3i3−33-11i−ii−i2-200−2i2i0000−i3i300000000−33−330−i3i30−330000-11i−i0000000
χ542-22-22-12-21-1-221-2−2i2i−2i2i-11-11-1-221−2i2i−2i2ii−ii−i0000−i3i3−i3i300i3−i33−3-11i−ii−i-22002i−2i0000−i3i300000000−33−330i3−i303−300001-1−ii0000000
χ552-22-22-12-21-1-221-2−2i2i−2i2i-11-11-1-221−2i2i−2i2ii−ii−i0000i3−i3i3−i300−i3i3−33-11i−ii−i-22002i−2i0000i3−i3000000003−33−30−i3i30−3300001-1−ii0000000
χ562-22-22-12-21-1-221-2−2i2i−2i2i-11-11-1-221−2i2i−2i2ii−ii−i0000i3−i3i3−i300i3−i33−3-11i−ii−i2-200−2i2i0000i3−i3000000003−33−30i3−i303−30000-11i−i0000000
χ5744444-2-4-4-2-244-240000-2-2-2-22-4-42000000004400-2-2-2-2000000220000000-400000022000000000000000000000000000000000
χ5844444-2-4-4-2-244-240000-2-2-2-22-4-4200000000-4-40022220000002200000004000000-2-2000000000000000000000000000000000
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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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χ948888-4-4-8-8-4-4-4-4-4-40000222244440000000000000000000000-2-20000000000000000000000000000000000000000000000000
χ9588-8-8-4-400-44444-4−4i2−4i24i24i222-2-200002i22i2−2i2−2i22i22i2−2i2−2i20000000000000000−i2−i2i2i2000000000000000000000000000000000000000000000
χ9688-8-8-4-400-44444-44i24i2−4i2−4i222-2-20000−2i2−2i22i22i2−2i2−2i22i22i20000000000000000i2i2−i2−i2000000000000000000000000000000000000000000000
χ978-88-8-4-4-884-44-44400002-22-24-44-40000000000000000000000-220000000000000000000000000000000000000000000000000
χ988-8-88-4-40044-44-4442−42−42422-2-220000−222222−22−222222−2200000000000000002−2−22000000000000000000000000000000000000000000000
χ998-8-88-4-40044-44-44−424242−422-2-22000022−22−222222−22−22220000000000000000−222−2000000000000000000000000000000000000000000000

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