Finite Group Databasebeta

← Group #11873555

Character table — Group #11873555

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222224444444488888812121212242422224444448888888816161616161624242424484833336666661212121212121212242424242424363636367272
order12223446664412121212121244121212128888243666312126661212121212121212121212121212242424246122222644666441212121212124412121212888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-11111-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111
χ51111111111-1-111-1-1-1-11-111-1-111-1-11-11111111111-1-111-1-1-1-11-111-1-111-1-11-11111111111-1-111-1-1-1-11-111-1-111-1-11-1
χ61111111111-1-111-1-1-1-11-111-1-1-1-111-111111111111-1-111-1-1-1-11-111-1-1-1-111-111111111111-1-111-1-1-1-11-111-1-1-1-111-11
χ71111111111-1-111-1-1-1-1-11-1-11111-1-1-111111111111-1-111-1-1-1-1-11-1-11111-1-1-111111111111-1-111-1-1-1-1-11-1-11111-1-1-11
χ81111111111-1-111-1-1-1-1-11-1-111-1-1111-11111111111-1-111-1-1-1-1-11-1-111-1-1111-11111111111-1-111-1-1-1-1-11-1-111-1-1111-1
χ922222-2-22222-2-2-222-2-200000000000022222-2-22222-2-2-222-2-200000000000022222-2-22222-2-2-222-2-2000000000000
χ1022222-2-2222-22-2-2-2-22200000000000022222-2-2222-22-2-2-2-22200000000000022222-2-2222-22-2-2-2-222000000000000
χ112222-122-1-1-122-1-1-1-1-1-122-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-122-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-122-1-1-1-1000000
χ122222-122-1-1-122-1-1-1-1-1-1-2-211110000002222-122-1-1-122-1-1-1-1-1-1-2-211110000002222-122-1-1-122-1-1-1-1-1-1-2-21111000000
χ132222-122-1-1-1-2-2-1-111112-2-1-1110000002222-122-1-1-1-2-2-1-111112-2-1-1110000002222-122-1-1-1-2-2-1-111112-2-1-111000000
χ142222-122-1-1-1-2-2-1-11111-2211-1-10000002222-122-1-1-1-2-2-1-11111-2211-1-10000002222-122-1-1-1-2-2-1-11111-2211-1-1000000
χ152222-1-2-2-1-1-12-211-1-11100−i3i3−i3i30000002222-1-2-2-1-1-12-211-1-11100−i3i3−i3i30000002222-1-2-2-1-1-12-211-1-11100−i3i3−i3i3000000
χ162222-1-2-2-1-1-12-211-1-11100i3−i3i3−i30000002222-1-2-2-1-1-12-211-1-11100i3−i3i3−i30000002222-1-2-2-1-1-12-211-1-11100i3−i3i3−i3000000
χ172222-1-2-2-1-1-1-221111-1-100−i3i3i3−i30000002222-1-2-2-1-1-1-221111-1-100−i3i3i3−i30000002222-1-2-2-1-1-1-221111-1-100−i3i3i3−i3000000
χ182222-1-2-2-1-1-1-221111-1-100i3−i3−i3i30000002222-1-2-2-1-1-1-221111-1-100i3−i3−i3i30000002222-1-2-2-1-1-1-221111-1-100i3−i3−i3i3000000
χ192-2-2222-22-2-2002-20000000000002i−2i002-2-2222-22-2-2002-20000000000002i−2i002-2-2222-22-2-2002-20000000000002i−2i00
χ202-2-2222-22-2-2002-2000000000000−2i2i002-2-2222-22-2-2002-2000000000000−2i2i002-2-2222-22-2-2002-2000000000000−2i2i00
χ212-2-222-222-2-200-2200000000002i−2i00002-2-222-222-2-200-2200000000002i−2i00002-2-222-222-2-200-2200000000002i−2i0000
χ222-2-222-222-2-200-220000000000−2i2i00002-2-222-222-2-200-220000000000−2i2i00002-2-222-222-2-200-220000000000−2i2i0000
χ2344-4-4400-44-40000000000000000000044-4-4400-44-40000000000000000000044-4-4400-44-400000000000000000000
χ2444-4-4-2002-220000−2i32i30000000000000044-4-4-2002-220000−2i32i30000000000000044-4-4-2002-220000−2i32i300000000000000
χ2544-4-4-2002-2200002i3−2i30000000000000044-4-4-2002-2200002i3−2i30000000000000044-4-4-2002-2200002i3−2i300000000000000
χ264-44-4400-4-44000000000000000000004-44-4400-4-44000000000000000000004-44-4400-4-4400000000000000000000
χ274-44-4-20022-2000000−2i32i30000000000004-44-4-20022-2000000−2i32i30000000000004-44-4-20022-2000000−2i32i3000000000000
χ284-44-4-20022-20000002i3−2i30000000000004-44-4-20022-20000002i3−2i30000000000004-44-4-20022-20000002i3−2i3000000000000
χ294-4-44-24-4-22200-2200000000000000004-4-44-24-4-22200-2200000000000000004-4-44-24-4-22200-220000000000000000
χ304-4-44-2-44-222002-200000000000000004-4-44-2-44-222002-200000000000000004-4-44-2-44-222002-20000000000000000
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ32111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ33111111111111111111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ34111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ351111111111-1-111-1-1-1-11-111-1-111-1-11-11111111111-1-111-1-1-1-11-111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-111-1-111-11
χ361111111111-1-111-1-1-1-11-111-1-1-1-111-111111111111-1-111-1-1-1-11-111-1-1-1-111-11-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-11111-1-11-1
χ371111111111-1-111-1-1-1-1-11-1-11111-1-1-111111111111-1-111-1-1-1-1-11-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-1-1-1111-1
χ381111111111-1-111-1-1-1-1-11-1-111-1-1111-11111111111-1-111-1-1-1-1-11-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-111-1-1-11
χ3922222-2-22222-2-2-222-2-200000000000022222-2-22222-2-2-222-2-2000000000000-2-2-2-2-222-2-2-2-2222-2-222000000000000
χ4022222-2-2222-22-2-2-2-22200000000000022222-2-2222-22-2-2-2-222000000000000-2-2-2-2-222-2-2-22-22222-2-2000000000000
χ412222-122-1-1-122-1-1-1-1-1-122-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-122-1-1-1-1000000-2-2-2-21-2-2111-2-2111111-2-21111000000
χ422222-122-1-1-122-1-1-1-1-1-1-2-211110000002222-122-1-1-122-1-1-1-1-1-1-2-21111000000-2-2-2-21-2-2111-2-211111122-1-1-1-1000000
χ432222-122-1-1-1-2-2-1-111112-2-1-1110000002222-122-1-1-1-2-2-1-111112-2-1-111000000-2-2-2-21-2-21112211-1-1-1-1-2211-1-1000000
χ442222-122-1-1-1-2-2-1-11111-2211-1-10000002222-122-1-1-1-2-2-1-11111-2211-1-1000000-2-2-2-21-2-21112211-1-1-1-12-2-1-111000000
χ452222-1-2-2-1-1-12-211-1-11100−i3i3−i3i30000002222-1-2-2-1-1-12-211-1-11100−i3i3−i3i3000000-2-2-2-2122111-22-1-111-1-100i3−i3i3−i3000000
χ462222-1-2-2-1-1-12-211-1-11100i3−i3i3−i30000002222-1-2-2-1-1-12-211-1-11100i3−i3i3−i3000000-2-2-2-2122111-22-1-111-1-100−i3i3−i3i3000000
χ472222-1-2-2-1-1-1-221111-1-100−i3i3i3−i30000002222-1-2-2-1-1-1-221111-1-100−i3i3i3−i3000000-2-2-2-21221112-2-1-1-1-11100i3−i3−i3i3000000
χ482222-1-2-2-1-1-1-221111-1-100i3−i3−i3i30000002222-1-2-2-1-1-1-221111-1-100i3−i3−i3i3000000-2-2-2-21221112-2-1-1-1-11100−i3i3i3−i3000000
χ492-2-2222-22-2-2002-20000000000002i−2i002-2-2222-22-2-2002-20000000000002i−2i00-222-2-2-22-22200-22000000000000−2i2i00
χ502-2-2222-22-2-2002-2000000000000−2i2i002-2-2222-22-2-2002-2000000000000−2i2i00-222-2-2-22-22200-220000000000002i−2i00
χ512-2-222-222-2-200-2200000000002i−2i00002-2-222-222-2-200-2200000000002i−2i0000-222-2-22-2-222002-20000000000−2i2i0000
χ522-2-222-222-2-200-220000000000−2i2i00002-2-222-222-2-200-220000000000−2i2i0000-222-2-22-2-222002-200000000002i−2i0000
χ5344-4-4400-44-40000000000000000000044-4-4400-44-400000000000000000000-4-444-4004-4400000000000000000000
χ5444-4-4-2002-220000−2i32i30000000000000044-4-4-2002-220000−2i32i300000000000000-4-444200-22-200002i3−2i300000000000000
χ5544-4-4-2002-2200002i3−2i30000000000000044-4-4-2002-2200002i3−2i300000000000000-4-444200-22-20000−2i32i300000000000000
χ564-44-4400-4-44000000000000000000004-44-4400-4-4400000000000000000000-44-44-40044-400000000000000000000
χ574-44-4-20022-2000000−2i32i30000000000004-44-4-20022-2000000−2i32i3000000000000-44-44200-2-220000002i3−2i3000000000000
χ584-44-4-20022-20000002i3−2i30000000000004-44-4-20022-20000002i3−2i3000000000000-44-44200-2-22000000−2i32i3000000000000
χ594-4-44-24-4-22200-2200000000000000004-4-44-24-4-22200-220000000000000000-444-42-442-2-2002-20000000000000000
χ604-4-44-2-44-222002-200000000000000004-4-44-2-44-222002-20000000000000000-444-424-42-2-200-220000000000000000
χ61222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000
χ62222222222222222222222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111000000000000000000000000000000
χ63222222222222222222-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111000000000000000000000000000000
χ64222222222222222222-2-2-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1000000000000000000000000000000
χ652222222222-2-222-2-2-2-22-222-2-222-2-22-2-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-111-1-111-11000000000000000000000000000000
χ662222222222-2-222-2-2-2-22-222-2-2-2-222-22-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-11111-1-11-1000000000000000000000000000000
χ672222222222-2-222-2-2-2-2-22-2-22222-2-2-22-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-1-1-1111-1000000000000000000000000000000
χ682222222222-2-222-2-2-2-2-22-2-222-2-2222-2-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-111-1-1-11000000000000000000000000000000
χ6944444-4-44444-4-4-444-4-4000000000000-2-2-2-2-222-2-2-2-2222-2-222000000000000000000000000000000000000000000
χ7044444-4-4444-44-4-4-4-444000000000000-2-2-2-2-222-2-2-22-22222-2-2000000000000000000000000000000000000000000
χ714444-244-2-2-244-2-2-2-2-2-244-2-2-2-2000000-2-2-2-21-2-2111-2-2111111-2-21111000000000000000000000000000000000000
χ724444-244-2-2-244-2-2-2-2-2-2-4-42222000000-2-2-2-21-2-2111-2-211111122-1-1-1-1000000000000000000000000000000000000
χ734444-244-2-2-2-4-4-2-222224-4-2-222000000-2-2-2-21-2-21112211-1-1-1-1-2211-1-1000000000000000000000000000000000000
χ744444-244-2-2-2-4-4-2-22222-4422-2-2000000-2-2-2-21-2-21112211-1-1-1-12-2-1-111000000000000000000000000000000000000
χ754444-2-4-4-2-2-24-422-2-22200−2i32i3−2i32i3000000-2-2-2-2122111-22-1-111-1-100i3−i3i3−i3000000000000000000000000000000000000
χ764444-2-4-4-2-2-24-422-2-222002i3−2i32i3−2i3000000-2-2-2-2122111-22-1-111-1-100−i3i3−i3i3000000000000000000000000000000000000
χ774444-2-4-4-2-2-2-442222-2-200−2i32i32i3−2i3000000-2-2-2-21221112-2-1-1-1-11100i3−i3−i3i3000000000000000000000000000000000000
χ784444-2-4-4-2-2-2-442222-2-2002i3−2i3−2i32i3000000-2-2-2-21221112-2-1-1-1-11100−i3i3i3−i3000000000000000000000000000000000000
χ794-4-4444-44-4-4004-40000000000004i−4i00-222-2-2-22-22200-22000000000000−2i2i00000000000000000000000000000000
χ804-4-4444-44-4-4004-4000000000000−4i4i00-222-2-2-22-22200-220000000000002i−2i00000000000000000000000000000000
χ814-4-444-444-4-400-4400000000004i−4i0000-222-2-22-2-222002-20000000000−2i2i0000000000000000000000000000000000
χ824-4-444-444-4-400-440000000000−4i4i0000-222-2-22-2-222002-200000000002i−2i0000000000000000000000000000000000
χ8388-8-8800-88-800000000000000000000-4-444-4004-4400000000000000000000000000000000000000000000000000
χ8488-8-8-4004-440000−4i34i300000000000000-4-444200-22-200002i3−2i300000000000000000000000000000000000000000000
χ8588-8-8-4004-4400004i3−4i300000000000000-4-444200-22-20000−2i32i300000000000000000000000000000000000000000000
χ868-88-8800-8-8800000000000000000000-44-44-40044-400000000000000000000000000000000000000000000000000
χ878-88-8-40044-4000000−4i34i3000000000000-44-44200-2-220000002i3−2i3000000000000000000000000000000000000000000
χ888-88-8-40044-40000004i3−4i3000000000000-44-44200-2-22000000−2i32i3000000000000000000000000000000000000000000
χ898-8-88-48-8-44400-440000000000000000-444-42-442-2-2002-20000000000000000000000000000000000000000000000
χ908-8-88-4-88-444004-40000000000000000-444-424-42-2-200-220000000000000000000000000000000000000000000000

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