Finite Group Databasebeta

← Group #11873484

Character table — Group #11873484

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222224444444444444444666666666666666688888888999912121212121212121212121212121212161616161616161618181818181824242424484848487272
order12223344666666888836661212121224242424242424244444444488888888241212242424244444121212121212121224242424242424246666121212122288882444612121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-111-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-111-1-11-1-11-1-1
χ4111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111
χ51111111111111111111111111111111111-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-111-1-1-1
χ61111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-1-1111-1-1-11
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1111-1
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111111-11-11-11-11-1
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-11-11-11-11-11
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-11111-11-11-11-111-1
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111111-11-11-11-1-11
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-111-1-1-111-11
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11-1-1111-1-11-1
χ17222222-2-222222200002222-2-2-2-2000000002222-2-2-2-20000000000-2-20000-2-2-2-2-2-222-2-22200000000000000002200000000000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-2-2-2220000000000-2-200002222-2-2-2-222220000000000000000-2-200000000000000
χ19222222-2-222222200002222-2-2-2-200000000-2-22222-2-20000000000-2-2000022222222-2-2-2-20000000000000000-2-200000000000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-222220000000000-2-20000-2-2-2-222-2-222-2-200000000000000002200000000000000
χ2122222-122-1-1222-12222-1-1-1-1-12-122222-1-1-1-1220022002222000022-1-1-1-1-1-10000-1-10000-1-1-1-1-1-100002-1-1-12-1-1-10000002200-100-100
χ2222222-122-1-1222-12222-1-1-1-1-12-122222-1-1-1-12200220022220000-2-2-1-1-1-1-1-10000-1-10000-1-1-1-1-1-10000-2111-2111000000-2-200100100
χ2322222-122-1-1222-12222-1-1-1-1-12-122222-1-1-1-1-2-200-2-200-2-2-2-2000022-1-1-1-1-1-1000011000011111100002-1-1-12-1-1-1000000-2-200100100
χ2422222-122-1-1222-12222-1-1-1-1-12-122222-1-1-1-1-2-200-2-200-2-2-2-20000-2-2-1-1-1-1-1-100001100001111110000-2111-21110000002200-100-100
χ2522222-122-1-1222-1-2-2-2-2-1-1-1-1-12-12-2-2-2-2111122002200-2-2-2-200002-2-1-111110000-1-10000-1-1111100002-1-1-1-21110000002-200-100100
χ2622222-122-1-1222-1-2-2-2-2-1-1-1-1-12-12-2-2-2-2111122002200-2-2-2-20000-22-1-111110000-1-10000-1-111110000-21112-1-1-1000000-2200100-100
χ2722222-122-1-1222-1-2-2-2-2-1-1-1-1-12-12-2-2-2-21111-2-200-2-200222200002-2-1-11111000011000011-1-1-1-100002-1-1-1-2111000000-2200100-100
χ2822222-122-1-1222-1-2-2-2-2-1-1-1-1-12-12-2-2-2-21111-2-200-2-20022220000-22-1-11111000011000011-1-1-1-10000-21112-1-1-10000002-200-100100
χ292222-122222-1-1-122222-1-1-1-12-12-1-1-1-1-12222002200220000222222-1-1-1-1-1-1000000-1-1-1-1000000-1-1-1-1-12-1-1-12-1-100000000220-1-1000
χ302222-122222-1-1-122222-1-1-1-12-12-1-1-1-1-122220022002200002222-2-2-1-1-1-1-1-1000000-1-1-1-1000000-1-1-1-11-2111-21100000000-2-2011000
χ312222-122222-1-1-122222-1-1-1-12-12-1-1-1-1-1222200-2-200-2-20000-2-2-2-222-1-1-1-1-1-100000011110000001111-12-1-1-12-1-100000000-2-2011000
χ322222-122222-1-1-122222-1-1-1-12-12-1-1-1-1-1222200-2-200-2-20000-2-2-2-2-2-2-1-1-1-1-1-1000000111100000011111-2111-21100000000220-1-1000
χ332222-122222-1-1-12-2-2-2-2-1-1-1-12-12-11111-2-2-2-2002200220000-2-2-2-22-2-1-11111000000-1-1-1-10000001111-12-1-11-21100000000-220-11000
χ342222-122222-1-1-12-2-2-2-2-1-1-1-12-12-11111-2-2-2-2002200220000-2-2-2-2-22-1-11111000000-1-1-1-100000011111-211-12-1-1000000002-201-1000
χ352222-122222-1-1-12-2-2-2-2-1-1-1-12-12-11111-2-2-2-200-2-200-2-2000022222-2-1-111110000001111000000-1-1-1-1-12-1-11-211000000002-201-1000
χ362222-122222-1-1-12-2-2-2-2-1-1-1-12-12-11111-2-2-2-200-2-200-2-200002222-22-1-111110000001111000000-1-1-1-11-211-12-1-100000000-220-11000
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χ3822-2-22200-2-22-2-2222−2−22-2-22000022−2−222−2−22-20000−2i2i22−2−2−i2−i2i2i2000022−2−2−2i−2i2i2i0000−2i2i2-222−2−2−i2−i2i2i20000000000−i2−i2i2i20000000000
χ3922-2-22200-2-22-2-2222−2−22-2-22000022−2−222−2−2-2200002i−2i−2−222i2i2−i2−i2000022−2−2−2i−2i2i2i00002i−2i-22−2−222i2i2−i2−i20000000000−i2−i2i2i20000000000
χ4022-2-22200-2-22-2-2222−2−22-2-22000022−2−222−2−2-220000−2i2i−2−222−i2−i2i2i2000022−2−22i2i−2i−2i0000−2i2i-22−2−222−i2−i2i2i20000000000i2i2−i2−i20000000000
χ4122-2-22200-2-22-2-22−2−2222-2-220000−2−222−2−2222-200002i−2i−2−222−i2−i2i2i20000−2−2222i2i−2i−2i00002i−2i2-2−2−222−i2−i2i2i20000000000−i2−i2i2i20000000000
χ4222-2-22200-2-22-2-22−2−2222-2-220000−2−222−2−2222-20000−2i2i−2−222i2i2−i2−i20000−2−222−2i−2i2i2i0000−2i2i2-2−2−222i2i2−i2−i20000000000i2i2−i2−i20000000000
χ4322-2-22200-2-22-2-22−2−2222-2-220000−2−222−2−222-2200002i−2i22−2−2−i2−i2i2i20000−2−222−2i−2i2i2i00002i−2i-2222−2−2−i2−i2i2i20000000000i2i2−i2−i20000000000
χ4422-2-22200-2-22-2-22−2−2222-2-220000−2−222−2−222-220000−2i2i22−2−2i2i2−i2−i20000−2−2222i2i−2i−2i0000−2i2i-2222−2−2i2i2−i2−i20000000000−i2−i2i2i20000000000
χ452-22-22200-22-2-22-2i2−i2i2−i222-2-20000i2−i2i2−i2i2−i2i2−i2002i−2i2-200i2−i2i2−i22−22−20000i2−i2i2−i22i−2i2i−2i2-22i−2i0000i2−i2i2−i22−22−200000000002−22−20000000000
χ462-22-22200-22-2-22-2i2−i2i2−i222-2-20000i2−i2i2−i2i2−i2i2−i2002i−2i-2200−i2i2−i2i22−22−20000i2−i2i2−i2−2i2i−2i2i-222i−2i0000−i2i2−i2i22−22−20000000000−22−220000000000
χ472-22-22200-22-2-22-2i2−i2i2−i222-2-20000i2−i2i2−i2i2−i2i2−i200−2i2i2-200i2−i2i2−i2−22−220000i2−i2i2−i2−2i2i−2i2i2-2−2i2i0000i2−i2i2−i2−22−220000000000−22−220000000000
χ482-22-22200-22-2-22-2i2−i2i2−i222-2-20000i2−i2i2−i2i2−i2i2−i200−2i2i-2200−i2i2−i2i2−22−220000i2−i2i2−i22i−2i2i−2i-22−2i2i0000−i2i2−i2i2−22−2200000000002−22−20000000000
χ492-22-22200-22-2-22-2−i2i2−i2i222-2-20000−i2i2−i2i2−i2i2−i2i2002i−2i2-200−i2i2−i2i2−22−220000−i2i2−i2i22i−2i2i−2i2-22i−2i0000−i2i2−i2i2−22−220000000000−22−220000000000
χ502-22-22200-22-2-22-2−i2i2−i2i222-2-20000−i2i2−i2i2−i2i2−i2i2002i−2i-2200i2−i2i2−i2−22−220000−i2i2−i2i2−2i2i−2i2i-222i−2i0000i2−i2i2−i2−22−2200000000002−22−20000000000
χ512-22-22200-22-2-22-2−i2i2−i2i222-2-20000−i2i2−i2i2−i2i2−i2i200−2i2i2-200−i2i2−i2i22−22−20000−i2i2−i2i2−2i2i−2i2i2-2−2i2i0000−i2i2−i2i22−22−200000000002−22−20000000000
χ522-22-22200-22-2-22-2−i2i2−i2i222-2-20000−i2i2−i2i2−i2i2−i2i200−2i2i-2200i2−i2i2−i22−22−20000−i2i2−i2i22i−2i2i−2i-22−2i2i0000i2−i2i2−i22−22−20000000000−22−220000000000
χ532-2-22222-22-2-22-2-22i−2i−2i2i2-22-2-2-2222i−2i−2i2i2i−2i−2i2i0000000000000000002-22i−2i−2i2i2-2-220000000000000000000000002-2−2i2i2i−2i0000000000
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χ884-4-444-2-44-22-44-420000-22-22-242-40000000000000000−4i4i4i−4i0000002-200000000000000002i−2i−2i2i0000000000000000000000000000
χ894-4-44-244-44-42-22-44i−4i−4i4i-22-22-424-2−2i2i2i−2i4i−4i−4i4i000000000000000000-22−2i2i2i−2i00000000000000000000000000000000000000000000
χ904-4-44-244-44-42-22-4−4i4i4i−4i-22-22-424-22i−2i−2i2i−4i4i4i−4i000000000000000000-222i−2i−2i2i00000000000000000000000000000000000000000000
χ914-4-44-24-444-42-22-40000-22-224-2-42000000000000000000004i−4i−4i4i002-200000000000000000000−2i2i2i−2i000000000000000000000000
χ924-4-44-24-444-42-22-40000-22-224-2-4200000000000000000000−4i4i4i−4i002-2000000000000000000002i−2i−2i2i000000000000000000000000
χ934-4-44-2-24-4-222-2224i−4i−4i4i1-11-122-2-2−2i2i2i−2i−2i2i2i−2i0000000000000000001-1i−i−ii00000000000000000000003-3003i−3i0000000000000000
χ944-4-44-2-24-4-222-2224i−4i−4i4i1-11-122-2-2−2i2i2i−2i−2i2i2i−2i0000000000000000001-1i−i−ii0000000000000000000000-3300−3i3i0000000000000000
χ954-4-44-2-24-4-222-222−4i4i4i−4i1-11-122-2-22i−2i−2i2i2i−2i−2i2i0000000000000000001-1−iii−i00000000000000000000003-300−3i3i0000000000000000
χ964-4-44-2-24-4-222-222−4i4i4i−4i1-11-122-2-22i−2i−2i2i2i−2i−2i2i0000000000000000001-1−iii−i0000000000000000000000-33003i−3i0000000000000000
χ978888-4-4-8-8-4-4-4-4-4-400002222444400000000000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9888-8-8-4-40044-444-44242−42−422-2-220000−22−222222−22−2222220000000000000000000022−2−200000000000000000000000000000000000000000000
χ9988-8-8-4-40044-444-4−42−4242422-2-2200002222−22−222222−22−2200000000000000000000−2−22200000000000000000000000000000000000000000000
χ1008-88-8-4-4004-444-444i2−4i24i2−4i222-2-20000−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000i2−i2i2−i200000000000000000000000000000000000000000000
χ1018-88-8-4-4004-444-44−4i24i2−4i24i222-2-200002i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000−i2i2−i2i200000000000000000000000000000000000000000000
χ1028-8-88-4-4-88-444-44400002-22-2-4-44400000000000000000000000000-22000000000000000000000000000000000000000000000000

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