Finite Group Databasebeta

← Group #72274492

Character table — Group #72274492

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1122233446668888121216161616161624242424242424242244466881212121616161624243232323232324848484848484848336669912121818182424242436364848484848487272727272727272
order12244222224436662266661212244488883661212666661212366666666612126121212242424242224422222446666226666121224448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111-1-11111111-1-1-1-1-1-1111111-1-1-1-11111111-1-11111111-1-1-1-1-1-1111111-1-1-1-11111111-1-11111111-1-1-1-1-1-1111111-1-1-1-1
χ41111111-1-11111111-1-1-1-1-1-111-1-1-1-111111111111-1-11111111-1-1-1-1-1-111-1-1-1-111111111111-1-11111111-1-1-1-1-1-111-1-1-1-11111
χ511-1-11111-1-1-111-1-111-111-1-11-11-11-11-11-111-1-11111-1-1-111-1-111-111-1-11-11-11-11-11-111-1-11111-1-1-111-1-111-111-1-11-11-11-11-11-1
χ611-1-11111-1-1-111-1-111-111-1-11-1-11-11-11-1111-1-11111-1-1-111-1-111-111-1-11-1-11-11-11-1111-1-11111-1-1-111-1-111-111-1-11-1-11-11-11-11
χ711-1-1111-11-1-111-1-11-11-1-1111-11-11-1-11-1111-1-1111-11-1-111-1-11-11-1-1111-11-11-1-11-1111-1-1111-11-1-111-1-11-11-1-1111-11-11-1-11-11
χ811-1-1111-11-1-111-1-11-11-1-1111-1-11-111-11-111-1-1111-11-1-111-1-11-11-1-1111-1-11-111-11-111-1-1111-11-1-111-1-11-11-1-1111-1-11-111-11-1
χ9222222222222-1-1-1-122-1-1-1-1-1-100000000222222222222-1-1-1-122-1-1-1-1-1-100000000222222222222-1-1-1-122-1-1-1-1-1-100000000
χ102222222-2-2222-1-1-1-1-2-21111-1-1000000002222222-2-2222-1-1-1-1-2-21111-1-1000000002222222-2-2222-1-1-1-1-2-21111-1-100000000
χ11222-2-222002-2-22222000000-2-200000000222-2-222002-2-22222000000-2-200000000222-2-222002-2-22222000000-2-200000000
χ12222-2-222002-2-2-1-1-1-100i3−i3i3−i31100000000222-2-222002-2-2-1-1-1-100i3−i3i3−i31100000000222-2-222002-2-2-1-1-1-100i3−i3i3−i31100000000
χ13222-2-222002-2-2-1-1-1-100−i3i3−i3i31100000000222-2-222002-2-2-1-1-1-100−i3i3−i3i31100000000222-2-222002-2-2-1-1-1-100−i3i3−i3i31100000000
χ1422-22-22200-22-22-2-22000000-220000000022-22-22200-22-22-2-22000000-220000000022-22-22200-22-22-2-22000000-2200000000
χ1522-22-22200-22-2-111-100i3−i3−i3i31-10000000022-22-22200-22-2-111-100i3−i3−i3i31-10000000022-22-22200-22-2-111-100i3−i3−i3i31-100000000
χ1622-22-22200-22-2-111-100−i3i3i3−i31-10000000022-22-22200-22-2-111-100−i3i3i3−i31-10000000022-22-22200-22-2-111-100−i3i3i3−i31-100000000
χ1722-2-22222-2-2-22-111-12-2-1-111-110000000022-2-22222-2-2-22-111-12-2-1-111-110000000022-2-22222-2-2-22-111-12-2-1-111-1100000000
χ1822-2-2222-22-2-22-111-1-2211-1-1-110000000022-2-2222-22-2-22-111-1-2211-1-1-110000000022-2-2222-22-2-22-111-1-2211-1-1-1100000000
χ1933333-1-133-1-1-10000-1-100000011-1-111-1-133333-1-133-1-1-10000-1-100000011-1-111-1-133333-1-133-1-1-10000-1-100000011-1-111-1-1
χ2033333-1-133-1-1-10000-1-1000000-1-111-1-11133333-1-133-1-1-10000-1-1000000-1-111-1-11133333-1-133-1-1-10000-1-1000000-1-111-1-111
χ2133333-1-1-3-3-1-1-100001100000011-1-1-1-11133333-1-1-3-3-1-1-100001100000011-1-1-1-11133333-1-1-3-3-1-1-100001100000011-1-1-1-111
χ2233333-1-1-3-3-1-1-1000011000000-1-11111-1-133333-1-1-3-3-1-1-1000011000000-1-11111-1-133333-1-1-3-3-1-1-1000011000000-1-11111-1-1
χ2333-3-33-1-13-311-10000-110000001-1-111-1-1133-3-33-1-13-311-10000-110000001-1-111-1-1133-3-33-1-13-311-10000-110000001-1-111-1-11
χ2433-3-33-1-13-311-10000-11000000-111-1-111-133-3-33-1-13-311-10000-11000000-111-1-111-133-3-33-1-13-311-10000-11000000-111-1-111-1
χ2533-3-33-1-1-3311-100001-10000001-1-11-111-133-3-33-1-1-3311-100001-10000001-1-11-111-133-3-33-1-1-3311-100001-10000001-1-11-111-1
χ2633-3-33-1-1-3311-100001-1000000-111-11-1-1133-3-33-1-1-3311-100001-1000000-111-11-1-1133-3-33-1-1-3311-100001-1000000-111-11-1-11
χ274-40004-400000400-400000000000000004-40004-400000400-400000000000000004-40004-400000400-40000000000000000
χ284-40004-400000-22i3−2i3200000000000000004-40004-400000-22i3−2i3200000000000000004-40004-400000-22i3−2i320000000000000000
χ294-40004-400000-2−2i32i3200000000000000004-40004-400000-2−2i32i3200000000000000004-40004-400000-2−2i32i320000000000000000
χ30666-6-6-2-200-22200000000000000000000666-6-6-2-200-22200000000000000000000666-6-6-2-200-22200000000000000000000
χ3166-66-6-2-2002-220000000000000000000066-66-6-2-2002-220000000000000000000066-66-6-2-2002-2200000000000000000000
χ3212-12000-44000000000000000000000000012-12000-44000000000000000000000000012-12000-440000000000000000000000000
χ331111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ34111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ351111111-1-11111111-1-1-1-1-1-1111111-1-1-1-11111111-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-1-1-11111
χ361111111-1-11111111-1-1-1-1-1-111-1-1-1-111111111111-1-11111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ3711-1-11111-1-1-111-1-111-111-1-11-11-11-11-11-111-1-11111-1-1-111-1-111-111-1-11-11-11-11-11-1-1-111-1-1-1-1111-1-111-1-11-1-111-11-11-11-11-11
χ3811-1-11111-1-1-111-1-111-111-1-11-1-11-11-11-1111-1-11111-1-1-111-1-111-111-1-11-1-11-11-11-11-1-111-1-1-1-1111-1-111-1-11-1-111-111-11-11-11-1
χ3911-1-1111-11-1-111-1-11-11-1-1111-11-11-1-11-1111-1-1111-11-1-111-1-11-11-1-1111-11-11-1-11-11-1-111-1-1-11-111-1-111-11-111-1-1-11-11-111-11-1
χ4011-1-1111-11-1-111-1-11-11-1-1111-1-11-111-11-111-1-1111-11-1-111-1-11-11-1-1111-1-11-111-11-1-1-111-1-1-11-111-1-111-11-111-1-1-111-11-1-11-11
χ41222222222222-1-1-1-122-1-1-1-1-1-100000000222222222222-1-1-1-122-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-2-2-2-21111-2-211111100000000
χ422222222-2-2222-1-1-1-1-2-21111-1-1000000002222222-2-2222-1-1-1-1-2-21111-1-100000000-2-2-2-2-2-2-222-2-2-2111122-1-1-1-11100000000
χ43222-2-222002-2-22222000000-2-200000000222-2-222002-2-22222000000-2-200000000-2-2-222-2-200-222-2-2-2-20000002200000000
χ44222-2-222002-2-2-1-1-1-100i3−i3i3−i31100000000222-2-222002-2-2-1-1-1-100i3−i3i3−i31100000000-2-2-222-2-200-222111100−i3i3−i3i3-1-100000000
χ45222-2-222002-2-2-1-1-1-100−i3i3−i3i31100000000222-2-222002-2-2-1-1-1-100−i3i3−i3i31100000000-2-2-222-2-200-222111100i3−i3i3−i3-1-100000000
χ4622-22-22200-22-22-2-22000000-220000000022-22-22200-22-22-2-22000000-2200000000-2-22-22-2-2002-22-222-20000002-200000000
χ4722-22-22200-22-2-111-100i3−i3−i3i31-10000000022-22-22200-22-2-111-100i3−i3−i3i31-100000000-2-22-22-2-2002-221-1-1100−i3i3i3−i3-1100000000
χ4822-22-22200-22-2-111-100−i3i3i3−i31-10000000022-22-22200-22-2-111-100−i3i3i3−i31-100000000-2-22-22-2-2002-221-1-1100i3−i3−i3i3-1100000000
χ4922-2-22222-2-2-22-111-12-2-1-111-110000000022-2-22222-2-2-22-111-12-2-1-111-1100000000-2-222-2-2-2-2222-21-1-11-2211-1-11-100000000
χ5022-2-2222-22-2-22-111-1-2211-1-1-110000000022-2-2222-22-2-22-111-1-2211-1-1-1100000000-2-222-2-2-22-222-21-1-112-2-1-1111-100000000
χ5133333-1-133-1-1-10000-1-100000011-1-111-1-133333-1-133-1-1-10000-1-100000011-1-111-1-1-3-3-3-3-311-3-3111000011000000-1-111-1-111
χ5233333-1-133-1-1-10000-1-1000000-1-111-1-11133333-1-133-1-1-10000-1-1000000-1-111-1-111-3-3-3-3-311-3-311100001100000011-1-111-1-1
χ5333333-1-1-3-3-1-1-100001100000011-1-1-1-11133333-1-1-3-3-1-1-100001100000011-1-1-1-111-3-3-3-3-311331110000-1-1000000-1-11111-1-1
χ5433333-1-1-3-3-1-1-1000011000000-1-11111-1-133333-1-1-3-3-1-1-1000011000000-1-11111-1-1-3-3-3-3-311331110000-1-100000011-1-1-1-111
χ5533-3-33-1-13-311-10000-110000001-1-111-1-1133-3-33-1-13-311-10000-110000001-1-111-1-11-3-333-311-33-1-1100001-1000000-111-1-111-1
χ5633-3-33-1-13-311-10000-11000000-111-1-111-133-3-33-1-13-311-10000-11000000-111-1-111-1-3-333-311-33-1-1100001-10000001-1-111-1-11
χ5733-3-33-1-1-3311-100001-10000001-1-11-111-133-3-33-1-1-3311-100001-10000001-1-11-111-1-3-333-3113-3-1-110000-11000000-111-11-1-11
χ5833-3-33-1-1-3311-100001-1000000-111-11-1-1133-3-33-1-1-3311-100001-1000000-111-11-1-11-3-333-3113-3-1-110000-110000001-1-11-111-1
χ594-40004-400000400-400000000000000004-40004-400000400-40000000000000000-44000-4400000-40040000000000000000
χ604-40004-400000-22i3−2i3200000000000000004-40004-400000-22i3−2i320000000000000000-44000-44000002−2i32i3-20000000000000000
χ614-40004-400000-2−2i32i3200000000000000004-40004-400000-2−2i32i320000000000000000-44000-440000022i3−2i3-20000000000000000
χ62666-6-6-2-200-22200000000000000000000666-6-6-2-200-22200000000000000000000-6-6-66622002-2-200000000000000000000
χ6366-66-6-2-2002-220000000000000000000066-66-6-2-2002-2200000000000000000000-6-66-662200-22-200000000000000000000
χ6412-12000-44000000000000000000000000012-12000-440000000000000000000000000-12120004-40000000000000000000000000
χ6522222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ66222222222222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111100000000000000000000000000000000
χ672222222-2-22222222-2-2-2-2-2-2222222-2-2-2-2-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-1-1-1111100000000000000000000000000000000
χ682222222-2-22222222-2-2-2-2-2-222-2-2-2-22222-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-11111-1-1-1-100000000000000000000000000000000
χ6922-2-22222-2-2-222-2-222-222-2-22-22-22-22-22-2-1-111-1-1-1-1111-1-111-1-11-1-111-11-11-11-11-1100000000000000000000000000000000
χ7022-2-22222-2-2-222-2-222-222-2-22-2-22-22-22-22-1-111-1-1-1-1111-1-111-1-11-1-111-111-11-11-11-100000000000000000000000000000000
χ7122-2-2222-22-2-222-2-22-22-2-2222-22-22-2-22-22-1-111-1-1-11-111-1-111-11-111-1-1-11-11-111-11-100000000000000000000000000000000
χ7222-2-2222-22-2-222-2-22-22-2-2222-2-22-222-22-2-1-111-1-1-11-111-1-111-11-111-1-1-111-11-1-11-1100000000000000000000000000000000
χ73444444444444-2-2-2-244-2-2-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-21111-2-21111110000000000000000000000000000000000000000
χ744444444-4-4444-2-2-2-2-4-42222-2-200000000-2-2-2-2-2-2-222-2-2-2111122-1-1-1-1110000000000000000000000000000000000000000
χ75444-4-444004-4-44444000000-4-400000000-2-2-222-2-200-222-2-2-2-2000000220000000000000000000000000000000000000000
χ76444-4-444004-4-4-2-2-2-2002i3−2i32i3−2i32200000000-2-2-222-2-200-222111100−i3i3−i3i3-1-10000000000000000000000000000000000000000
χ77444-4-444004-4-4-2-2-2-200−2i32i3−2i32i32200000000-2-2-222-2-200-222111100i3−i3i3−i3-1-10000000000000000000000000000000000000000
χ7844-44-44400-44-44-4-44000000-4400000000-2-22-22-2-2002-22-222-20000002-20000000000000000000000000000000000000000
χ7944-44-44400-44-4-222-2002i3−2i3−2i32i32-200000000-2-22-22-2-2002-221-1-1100−i3i3i3−i3-110000000000000000000000000000000000000000
χ8044-44-44400-44-4-222-200−2i32i32i3−2i32-200000000-2-22-22-2-2002-221-1-1100i3−i3−i3i3-110000000000000000000000000000000000000000
χ8144-4-44444-4-4-44-222-24-4-2-222-2200000000-2-222-2-2-2-2222-21-1-11-2211-1-11-10000000000000000000000000000000000000000
χ8244-4-4444-44-4-44-222-2-4422-2-2-2200000000-2-222-2-2-22-222-21-1-112-2-1-1111-10000000000000000000000000000000000000000
χ8366666-2-266-2-2-20000-2-200000022-2-222-2-2-3-3-3-3-311-3-3111000011000000-1-111-1-11100000000000000000000000000000000
χ8466666-2-266-2-2-20000-2-2000000-2-222-2-222-3-3-3-3-311-3-311100001100000011-1-111-1-100000000000000000000000000000000
χ8566666-2-2-6-6-2-2-200002200000022-2-2-2-222-3-3-3-3-311331110000-1-1000000-1-11111-1-100000000000000000000000000000000
χ8666666-2-2-6-6-2-2-2000022000000-2-22222-2-2-3-3-3-3-311331110000-1-100000011-1-1-1-11100000000000000000000000000000000
χ8766-6-66-2-26-622-20000-220000002-2-222-2-22-3-333-311-33-1-1100001-1000000-111-1-111-100000000000000000000000000000000
χ8866-6-66-2-26-622-20000-22000000-222-2-222-2-3-333-311-33-1-1100001-10000001-1-111-1-1100000000000000000000000000000000
χ8966-6-66-2-2-6622-200002-20000002-2-22-222-2-3-333-3113-3-1-110000-11000000-111-11-1-1100000000000000000000000000000000
χ9066-6-66-2-2-6622-200002-2000000-222-22-2-22-3-333-3113-3-1-110000-110000001-1-11-111-100000000000000000000000000000000
χ918-80008-800000800-80000000000000000-44000-4400000-4004000000000000000000000000000000000000000000000000
χ928-80008-800000-44i3−4i340000000000000000-44000-44000002−2i32i3-2000000000000000000000000000000000000000000000000
χ938-80008-800000-4−4i34i340000000000000000-44000-440000022i3−2i3-2000000000000000000000000000000000000000000000000
χ94121212-12-12-4-400-44400000000000000000000-6-6-66622002-2-20000000000000000000000000000000000000000000000000000
χ951212-1212-12-4-4004-4400000000000000000000-6-66-662200-22-20000000000000000000000000000000000000000000000000000
χ9624-24000-880000000000000000000000000-12120004-4000000000000000000000000000000000000000000000000000000000

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