Finite Group Databasebeta

← Group #11887296

Character table — Group #11887296

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121212121212161616161616181824242424242436363648487272
order12223344666666888836661212121224242424242424242244666624661212121224242424224444888812121212121224242424242424246661212124444661212288121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-11-1-11111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1
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
χ4111111111111111111111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111
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
χ61111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111111-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
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
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-1111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-111-1111-1-11-1-11-11-1
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111-1-1-11-11
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111-111-1-111-1-1-1-111-1-1-1111-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-11-111-1-1-111-11-11
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-11-1-11111-1-1-1-1-1-1-111111-1-111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-11-1-111-1111-11-1
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-111-1-1-1-1-1-1111-1-1-111-1-11111-1-1-1-11111111-1-1-1-1-1-11-1-111-1111-1-11
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1111-1-11-111-1-1-111-111-1
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-111-11111-1-1-1-1-1-111111111111-1-1-1111-1-1-1111-1-1-111-1
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-111111-1111-1-11-1-11-1-11
χ17222222-2-222222200002222-2-2-2-20000000022222222000000-2-2000000-200-20000-2-2-2-2220000000000000022000000-2000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-22222000000-2-2000000200-20000-2-222-2-200000000000000-2-20000002000000
χ19222222-2-222222200002222-2-2-2-200000000-2-222-2-2-2-2000000-2-2000000-2002000022-2-22200000000000000-2-20000002000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-2-2-2-2-2000000-2-2000000200200002222-2-20000000000000022000000-2000000
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
χ2222222-122-1-122-122222-1-1-1-1-122-12222-1-1-1-12200-1-1-1-1-2-21111-1-1-1-1-1-1-2-20-2-220022-1-100000000-1-1-1-1-211-211000011110000000
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
χ2422222-122-1-122-122222-1-1-1-1-122-12222-1-1-1-1-2-2001111-2-21111-1-1-1-1-1-122022-200-2-211000000001111-211-2110000-1-1-1-10000000
χ2522222-122-1-122-12-2-2-2-2-1-1-1-1-122-1-2-2-2-211112200-1-1-1-12-2-1-111-1-11111220-2-2200-2-2-1-10000000011112-1-1-2110000-1-1110000000
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
χ2722222-122-1-122-12-2-2-2-2-1-1-1-1-122-1-2-2-2-21111-2-20011112-2-1-111-1-11111-2-2022-200221100000000-1-1-1-12-1-1-211000011-1-10000000
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
χ3722-2-22200-2-22-22-222−2−22-2-22000022−2−222−2−22-22i−2i22-2-20000000022−2−2000000−i2i22−200002i−2i−i2−i2i2i222−2−20000002i−2i0000000−i2i20000
χ3822-2-22200-2-22-22-222−2−22-2-22000022−2−222−2−22-2−2i2i22-2-20000000022−2−2000000i2−i22−20000−2i2ii2i2−i2−i222−2−2000000−2i2i0000000i2−i20000
χ3922-2-22200-2-22-22-222−2−22-2-22000022−2−222−2−2-222i−2i-2-2220000000022−2−2000000−i2i2−2200002i−2i−i2−i2i2i2−2−222000000−2i2i0000000i2−i20000
χ4022-2-22200-2-22-22-222−2−22-2-22000022−2−222−2−2-22−2i2i-2-2220000000022−2−2000000i2−i2−220000−2i2ii2i2−i2−i2−2−2220000002i−2i0000000−i2i20000
χ4122-2-22200-2-22-22-2−2−2222-2-220000−2−222−2−2222-22i−2i22-2-200000000−2−222000000i2−i2−2200002i−2ii2i2−i2−i2−2−2220000002i−2i0000000i2−i20000
χ4222-2-22200-2-22-22-2−2−2222-2-220000−2−222−2−2222-2−2i2i22-2-200000000−2−222000000−i2i2−220000−2i2i−i2−i2i2i2−2−222000000−2i2i0000000−i2i20000
χ4322-2-22200-2-22-22-2−2−2222-2-220000−2−222−2−222-222i−2i-2-22200000000−2−222000000i2−i22−200002i−2ii2i2−i2−i222−2−2000000−2i2i0000000−i2i20000
χ4422-2-22200-2-22-22-2−2−2222-2-220000−2−222−2−222-22−2i2i-2-22200000000−2−222000000−i2i22−20000−2i2i−i2−i2i2i222−2−20000002i−2i0000000i2−i20000
χ452-2-22222-2-22-22-2-22i−2i2i−2i2-22-22-22-22i−2i2i−2i2i−2i2i−2i000000000000002-22i−2i2i−2i2-202i−2i000000000000000000000000000002-22i−2i0000000
χ462-2-22222-2-22-22-2-22i−2i2i−2i2-22-22-22-22i−2i2i−2i2i−2i2i−2i000000000000002-22i−2i2i−2i-220−2i2i00000000000000000000000000000-22−2i2i0000000
χ472-2-22222-2-22-22-2-2−2i2i−2i2i2-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000002-2−2i2i−2i2i2-20−2i2i000000000000000000000000000002-2−2i2i0000000
χ482-2-22222-2-22-22-2-2−2i2i−2i2i2-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000002-2−2i2i−2i2i-2202i−2i00000000000000000000000000000-222i−2i0000000
χ492-2-222-12-21-1-221-22i−2i2i−2i-11-11-1-2212i−2i2i−2i−ii−ii0000−i3i3−i3i300−i3i33−3-11−ii−ii2-202i−2i00000−i3i3000000003−33−30−i3i303−30000-11−ii0000000
χ502-2-222-12-21-1-221-22i−2i2i−2i-11-11-1-2212i−2i2i−2i−ii−ii0000−i3i3−i3i300i3−i3−33-11−ii−ii-220−2i2i00000−i3i3000000003−33−30i3−i30−3300001-1i−i0000000
χ512-2-222-12-21-1-221-22i−2i2i−2i-11-11-1-2212i−2i2i−2i−ii−ii0000i3−i3i3−i300−i3i33−3-11−ii−ii-220−2i2i00000i3−i300000000−33−330−i3i303−300001-1i−i0000000
χ522-2-222-12-21-1-221-22i−2i2i−2i-11-11-1-2212i−2i2i−2i−ii−ii0000i3−i3i3−i300i3−i3−33-11−ii−ii2-202i−2i00000i3−i300000000−33−330i3−i30−330000-11−ii0000000
χ532-2-222-12-21-1-221-2−2i2i−2i2i-11-11-1-221−2i2i−2i2ii−ii−i0000−i3i3−i3i300−i3i3−33-11i−ii−i2-20−2i2i00000−i3i300000000−33−330−i3i30−330000-11i−i0000000
χ542-2-222-12-21-1-221-2−2i2i−2i2i-11-11-1-221−2i2i−2i2ii−ii−i0000−i3i3−i3i300i3−i33−3-11i−ii−i-2202i−2i00000−i3i300000000−33−330i3−i303−300001-1−ii0000000
χ552-2-222-12-21-1-221-2−2i2i−2i2i-11-11-1-221−2i2i−2i2ii−ii−i0000i3−i3i3−i300−i3i3−33-11i−ii−i-2202i−2i00000i3−i3000000003−33−30−i3i30−3300001-1−ii0000000
χ562-2-222-12-21-1-221-2−2i2i−2i2i-11-11-1-221−2i2i−2i2ii−ii−i0000i3−i3i3−i300i3−i33−3-11i−ii−i2-20−2i2i00000i3−i3000000003−33−30i3−i303−30000-11i−i0000000
χ5744444-2-4-4-2-244-240000-2-2-2-22-4-42000000004400-2-2-2-200000022000000000-4000022000000000000000000000000000000000
χ5844444-2-4-4-2-244-240000-2-2-2-22-4-4200000000-4-40022220000002200000000040000-2-2000000000000000000000000000000000
χ594444-24-4-444-2-24-20000-2-2-2-2-422-4000000000044000000000022000000-400000000022-2-200000000000000000000000000000
χ604444-24-4-444-2-24-20000-2-2-2-2-422-40000000000-4-40000000000220000004000000000-2-22200000000000000000000000000000
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
χ644444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-22222222200000000-4422-2-211-1-1-1-10000000000000000000000002-1-1-211000000000000000
χ6544-4-44-200224-4-2-42222−22−22-222-200002222−22−22−2−2224-400-2-22200000000−2−2220000000022−220000000000−2−222000000000000000000000
χ6644-4-44-200224-4-2-42222−22−22-222-200002222−22−22−2−222-440022-2-200000000−2−22200000000−2222000000000022−2−2000000000000000000000
χ6744-4-44-200224-4-2-4−22−222222-222-20000−22−22222222−2−24-400-2-2220000000022−2−200000000−2222000000000022−2−2000000000000000000000
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χ6944-4-4-2400-4-4-22422222−22−22-222-20000−2−2222222−22−22004i−4i000000000000−2−222000000−2i22i2000000−2i2ii2i2−i2−i20000000000000000000000000
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χ7144-4-4-2400-4-4-2242−22−222222-222-2000022−2−2−22−222222004i−4i00000000000022−2−20000002i2−2i2000000−2i2i−i2−i2i2i20000000000000000000000000
χ7244-4-4-2400-4-4-2242−22−222222-222-2000022−2−2−22−22222200−4i4i00000000000022−2−2000000−2i22i20000002i−2ii2i2−i2−i20000000000000000000000000
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χ744-44-444004-4-4-4-442i2−2i2−2i22i244-4-400002i2−2i2−2i22i22i2−2i2−2i22i200000000000000002i2−2i2−2i22i2000000000000000000000000000000000000000000000
χ754-44-44-200-22-4-424−2i22i22i2−2i2-2-2220000−2i22i22i2−2i2i2−i2−i2i20000−2i32i32i3−2i300000000i2−i2−i2i200000000000000000000−666−6000000000000000000000
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χ804-44-4-24004-422-4-2−2i22i22i2−2i2-2-2220000i2−i2−i2i2−2i22i22i2−2i20000000000000000i2−i2−i2i2000000000000−232300−i6i6−i6i60000000000000000000000000
χ814-44-4-24004-422-4-22i2−2i2−2i22i2-2-2220000−i2i2i2−i22i2−2i2−2i22i20000000000000000−i2i2i2−i200000000000023−2300−i6i6−i6i60000000000000000000000000
χ824-44-4-24004-422-4-22i2−2i2−2i22i2-2-2220000−i2i2i2−i22i2−2i2−2i22i20000000000000000−i2i2i2−i2000000000000−232300i6−i6i6−i60000000000000000000000000
χ834-4-4444-44-44-44-4-400004-44-4-44-440000000000000000000000-440000000000000000000000000000000000000000000000000
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χ874-4-44-244-4-442-2-42−4i4i−4i4i-22-2242-2-42i−2i2i−2i−4i4i−4i4i00000000000000-222i−2i2i−2i000000000000000000000000000000000000000000000
χ884-4-44-24-44-442-2-420000-22-22-4-22400000000000000000000002-20000000000000000000023−23−23230000000000000000000000000
χ894-4-44-24-44-442-2-420000-22-22-4-22400000000000000000000002-200000000000000000000−232323−230000000000000000000000000
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χ914-4-44-2-24-42-22-2224i−4i4i−4i1-11-1-22-22−2i2i−2i2i−2i2i−2i2i00000000002i3−2i3−23231-1i−ii−i0000000000000000000000000−i3i303−3000000000000000
χ924-4-44-2-24-42-22-222−4i4i−4i4i1-11-1-22-222i−2i2i−2i2i−2i2i−2i0000000000−2i32i3−23231-1−ii−ii0000000000000000000000000i3−i303−3000000000000000
χ934-4-44-2-24-42-22-222−4i4i−4i4i1-11-1-22-222i−2i2i−2i2i−2i2i−2i00000000002i3−2i323−231-1−ii−ii0000000000000000000000000−i3i30−33000000000000000
χ948888-4-4-8-8-4-4-4-4-4-40000222244440000000000000000000000-2-20000000000000000000000000000000000000000000000000
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χ9688-8-8-4-40044-44-44−42−4242422-2-2200002222−22−222222−22−220000000000000000−2−222000000000000000000000000000000000000000000000
χ978-88-8-4-400-44444-4−4i24i24i2−4i222-2-200002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000−i2i2i2−i2000000000000000000000000000000000000000000000
χ988-88-8-4-400-44444-44i2−4i2−4i24i222-2-20000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000i2−i2−i2i2000000000000000000000000000000000000000000000
χ998-8-88-4-4-884-44-44400002-22-24-44-40000000000000000000000-220000000000000000000000000000000000000000000000000

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