Finite Group Databasebeta

← Group #11899648

Character table — Group #11899648

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122222222222334444444444444444666666666888888888888812121212121212121212121616161616162424242424242424242424243636363648487272
order122334466668844366668121212122424242424242248812121212441212121212122424242424668161616162424242412121212121222246666484848481616161661224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-11111111111111-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111
χ81111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ911-111-11-1-11111111-1-1-11-1-1-11111-1-1111-1-11111-1-11-111-1-1-11-111-1-11-1-111-1-111-1-11-111-1-11-11-111-1-111-1-111-1-11-1-11
χ1011-111-11-1-11111111-1-1-11-1-1-11111-1-1111-1-11111-1-11-111-1-1-11-111-1-11-1-1-1-11111-1-11-111-1-11-1-1111-1-1-1-111-1-111-111-1
χ1111-111-11-1-11111111-1-1-11-1-1-11111-1-1111-1-11111-1-1-11-1-111-11-111-1-11-1-111-1-111-1-1-11-1-111-11-11-1-11111-1-111-1-1-111-1
χ1211-111-11-1-11111111-1-1-11-1-1-11111-1-1111-1-11111-1-1-11-1-111-11-111-1-11-1-1-1-11111-1-1-11-1-111-111-1-1-111-1-111-1-1111-1-11
χ1311-111-11-1-11111-1-11-1-1-11-1-1-11111-1-111-111-1-1-1-1111-111-1-1-11-111-1-1-11111-1-1-1-1111-111-1-1-111-1-1-11111-1-1-1-1111-11-1
χ1411-111-11-1-11111-1-11-1-1-11-1-1-11111-1-111-111-1-1-1-1111-111-1-1-11-111-1-1-111-1-111-1-1111-111-1-1-11-11-1-111-1-11111-1-1-11-11
χ1511-111-11-1-11111-1-11-1-1-11-1-1-11111-1-111-111-1-1-1-111-11-1-111-11-111-1-1-11111-1-1-1-111-11-1-1111-1-1111-1-111-1-1-1-111-11-11
χ1611-111-11-1-11111-1-11-1-1-11-1-1-11111-1-111-111-1-1-1-111-11-1-111-11-111-1-1-111-1-111-1-111-11-1-1111-11-111-1-1-1-11111-1-11-11-1
χ1722222222222-2-22222222-22222-2-2-2-2-2-2222-2-2222200000022-2-2-2-2-222-20000-2-2-2-200000000000000000000000000
χ1822222222222-2-2-2-222222-22222-2-2-2-2-2-2-2-2-222-2-2-2-200000022-2-2-2-2-2-2-220000222200000000000000000000000000
χ1922222-2-222220022222220-2-2-2-2000000-2-22002222000000-2-200000-2-202−22−20000000000000000002−22−22−22−20000
χ2022222-2-222220022222220-2-2-2-2000000-2-22002222000000-2-200000-2-20−22−22000000000000000000−22−22−22−220000
χ2122222-2-2222200-2-2222220-2-2-2-200000022-200-2-2-2-2000000-2-2000002202−22−20000000000000000002−22−2−22−220000
χ2222222-2-2222200-2-2222220-2-2-2-200000022-200-2-2-2-2000000-2-200000220−22−22000000000000000000−22−222−22−20000
χ232222-122-1-1-122222-12-1-1-12-122-1-1-1-1-12222222-1-1-1-122-1-1-1-1-1-12-1-1-1-1-1-120000-1-1-1-122-1-1-1-12200-1-1-1-1000000000000
χ242222-122-1-1-122222-12-1-1-12-122-1-1-1-1-12222222-1-1-1-1-2-21111-1-12-1-1-1-1-1-120000-1-1-1-1-2-21111-2-2001111000000000000
χ252222-122-1-1-1222-2-2-12-1-1-12-122-1-1-1-1-122-2-2-2-2-2111122-1-1-1-1-1-12-1-1-1-111-20000111122-1-1-1-1-2-2001111000000000000
χ262222-122-1-1-1222-2-2-12-1-1-12-122-1-1-1-1-122-2-2-2-2-21111-2-21111-1-12-1-1-1-111-200001111-2-211112200-1-1-1-1000000000000
χ272222-122-1-1-12-2-222-12-1-1-1-2-122-11111-2-2222-2-2-1-1-1-100−i3i3−i3i3-1-1-21111-1-1-20000111100−i3i3−i3i30000−i3i3−i3i3000000000000
χ282222-122-1-1-12-2-222-12-1-1-1-2-122-11111-2-2222-2-2-1-1-1-100i3−i3i3−i3-1-1-21111-1-1-20000111100i3−i3i3−i30000i3−i3i3−i3000000000000
χ292222-122-1-1-12-2-2-2-2-12-1-1-1-2-122-11111-2-2-2-2-222111100−i3i3−i3i3-1-1-211111120000-1-1-1-100−i3i3−i3i30000i3−i3i3−i3000000000000
χ302222-122-1-1-12-2-2-2-2-12-1-1-1-2-122-11111-2-2-2-2-222111100i3−i3i3−i3-1-1-211111120000-1-1-1-100i3−i3i3−i30000−i3i3−i3i3000000000000
χ31222-1222222-12200-1-1-1-1-122-1-122222-1-1000000000222222-1-1-1-1-1-1-100022220000-1-1-1-1-1-100220000-1-1-1-10000-1-100
χ32222-1222222-12200-1-1-1-1-122-1-122222-1-1000000000222222-1-1-1-1-1-1-1000-2-2-2-20000-1-1-1-1-1-100-2-20000111100001100
χ33222-1222222-12200-1-1-1-1-122-1-122222-1-1000000000-2-2-2-2-2-2-1-1-1-1-1-1-10002222000011111100-2-20000-1-1-1-100001100
χ34222-1222222-12200-1-1-1-1-122-1-122222-1-1000000000-2-2-2-2-2-2-1-1-1-1-1-1-1000-2-2-2-200001111110022000011110000-1-100
χ3522-2222-2-2-22200222-2-2-22022-2-2000000-22-20022-2-20000002-200000-2202−2−220000000000000000002−2−222−2−220000
χ3622-2222-2-2-22200222-2-2-22022-2-2000000-22-20022-2-20000002-200000-220−222−2000000000000000000−222−2−222−20000
χ3722-2222-2-2-22200-2-22-2-2-22022-2-20000002-2200-2-2220000002-2000002-202−2−220000000000000000002−2−22−222−20000
χ3822-2222-2-2-22200-2-22-2-2-22022-2-20000002-2200-2-2220000002-2000002-20−222−2000000000000000000−222−22−2−220000
χ3922-222-22-2-222-2-2222-2-2-222-2-222-2-222-2-22-2-2-2-222-2-2000000-222-2-2222-220000-2-22200000000000000000000000000
χ4022-222-22-2-222-2-2-2-22-2-2-222-2-222-2-222-2-2-22222-2-222000000-222-2-222-22-2000022-2-200000000000000000000000000
χ4122-22-1-2211-122222-1-211-1-21-22-1-1-111222-2-222-1-1112-2-1-1111-1-2-1-111-11-20000-1-1112-2-1-1112-200-1-111000000000000
χ4222-22-1-2211-122222-1-211-1-21-22-1-1-111222-2-222-1-111-2211-1-11-1-2-1-111-11-20000-1-111-2211-1-1-220011-1-1000000000000
χ4322-22-1-2211-1222-2-2-1-211-1-21-22-1-1-11122-222-2-211-1-12-2-1-1111-1-2-1-1111-12000011-1-12-2-1-111-220011-1-1000000000000
χ4422-22-1-2211-1222-2-2-1-211-1-21-22-1-1-11122-222-2-211-1-1-2211-1-11-1-2-1-1111-12000011-1-1-2211-1-12-200-1-111000000000000
χ4522-22-1-2211-12-2-222-1-211-121-22-111-1-1-2-22-2-2-2-2-1-11100−i3i3i3−i31-1211-1-1-112000011-1-100−i3i3i3−i30000−i3i3i3−i3000000000000
χ4622-22-1-2211-12-2-222-1-211-121-22-111-1-1-2-22-2-2-2-2-1-11100i3−i3−i3i31-1211-1-1-112000011-1-100i3−i3−i3i30000i3−i3−i3i3000000000000
χ4722-22-1-2211-12-2-2-2-2-1-211-121-22-111-1-1-2-2-2222211-1-100−i3i3i3−i31-1211-1-11-1-20000-1-11100−i3i3i3−i30000i3−i3−i3i3000000000000
χ4822-22-1-2211-12-2-2-2-2-1-211-121-22-111-1-1-2-2-2222211-1-100i3−i3−i3i31-1211-1-11-1-20000-1-11100i3−i3−i3i30000−i3i3i3−i3000000000000
χ4922-2-12-22-2-22-12200-1111-1-2-21-1222-2-2-1-10000000002-222-2-21-11-1-11100022-2-20000-11-1-111002-20000-1-1110000-1100
χ5022-2-12-22-2-22-12200-1111-1-2-21-1222-2-2-1-10000000002-222-2-21-11-1-111000-2-2220000-11-1-11100-22000011-1-100001-100
χ5122-2-12-22-2-22-12200-1111-1-2-21-1222-2-2-1-1000000000-22-2-2221-11-1-11100022-2-200001-111-1-100-220000-1-11100001-100
χ5222-2-12-22-2-22-12200-1111-1-2-21-1222-2-2-1-1000000000-22-2-2221-11-1-111000-2-22200001-111-1-1002-2000011-1-10000-1100
χ534444-2-4-4-2-2-240044-24-2-2-202-4-42000000-4-4400-2-2-2-200000022000002200000000000000000000000000000000000
χ544444-2-4-4-2-2-2400-4-4-24-2-2-202-4-4200000044-40022220000002200000-2-200000000000000000000000000000000000
χ55444-2444444-2-4-400-2-2-2-2-2-44-2-24-4-4-4-422000000000000000-2-2222220000000000000000000000000000000000000
χ56444-24-4-4444-20000-2-2-2-2-20-422-4000000000000000000000220000000022−2222−22000000000000000000−22−2200000000
χ57444-24-4-4444-20000-2-2-2-2-20-422-40000000000000000000002200000000−2222−22220000000000000000002−22−200000000
χ58444-2-244-2-2-2-244001-21114-2-2-2-2-2-2-2-2-2-200000000044-2-2-2-211-2111100000000000-2-2111100000000000000000000
χ59444-2-244-2-2-2-244001-21114-2-2-2-2-2-2-2-2-2-2000000000-4-4222211-211110000000000022-1-1-1-100000000000000000000
χ60444-2-244-2-2-2-2-4-4001-2111-4-2-2-2-222222200000000000−2i32i3−2i32i3112-1-1-1-10000000000000i3−i3i3−i300000000000000000000
χ61444-2-244-2-2-2-2-4-4001-2111-4-2-2-2-2222222000000000002i3−2i32i3−2i3112-1-1-1-10000000000000−i3i3−i3i300000000000000000000
χ6244-44-24-422-240044-2-422-20-24-42000000-44-400-2-222000000-22000002-200000000000000000000000000000000000
χ6344-44-24-422-2400-4-4-2-422-20-24-420000004-440022-2-2000000-2200000-2200000000000000000000000000000000000
χ6444-4-244-4-4-44-20000-2222-204-22-4000000000000000000000-220000000022−22−2222000000000000000000−222−200000000
χ6544-4-244-4-4-44-20000-2222-204-22-4000000000000000000000-2200000000−222222−220000000000000000002−2−2200000000
χ6644-4-24-44-4-44-2-4-400-2222-24-42-24-4-444220000000000000002-2-222-2-20000000000000000000000000000000000000
χ6744-4-2-2-4422-2-2440012-1-11-422-2-2-2-222-2-20000000004-4-2-222-11211-1-100000000000-2211-1-100000000000000000000
χ6844-4-2-2-4422-2-2440012-1-11-422-2-2-2-222-2-2000000000-4422-2-2-11211-1-1000000000002-2-1-11100000000000000000000
χ6944-4-2-2-4422-2-2-4-40012-1-11422-2-222-2-22200000000000−2i32i32i3−2i3-11-2-1-1110000000000000i3−i3−i3i300000000000000000000
χ7044-4-2-2-4422-2-2-4-40012-1-11422-2-222-2-222000000000002i3−2i3−2i32i3-11-2-1-1110000000000000−i3i3i3−i300000000000000000000
χ714-40440000-4-422−224i−4i4000-40000022−220022−22000−2i22i24i−4i0000000000022−22000000000−2i22i20000000000000000000000000000
χ724-40440000-4-422−22−4i4i4000-40000022−220022−220002i2−2i2−4i4i0000000000022−220000000002i2−2i20000000000000000000000000000
χ734-40440000-4-4−22224i−4i4000-400000−222200−22220002i2−2i24i−4i00000000000−22220000000002i2−2i20000000000000000000000000000
χ744-40440000-4-4−2222−4i4i4000-400000−222200−2222000−2i22i2−4i4i00000000000−2222000000000−2i22i20000000000000000000000000000
χ754-404-200−2i32i32-422−224i−4i-20−2i32i3200000−22i6−i622−22000−2i22i2−2i2i23−23000000000−22i6−i60000000i2−i26−600000000000000000000000000
χ764-404-200−2i32i32-422−22−4i4i-20−2i32i3200000−22i6−i622−220002i2−2i22i−2i−2323000000000−22i6−i60000000−i2i2−6600000000000000000000000000
χ774-404-200−2i32i32-4−22224i−4i-20−2i32i32000002−2−i6i6−22220002i2−2i2−2i2i23−230000000002−2−i6i60000000−i2i2−6600000000000000000000000000
χ784-404-200−2i32i32-4−2222−4i4i-20−2i32i32000002−2−i6i6−2222000−2i22i22i−2i−23230000000002−2−i6i60000000i2−i26−600000000000000000000000000
χ794-404-2002i3−2i32-422−224i−4i-202i3−2i3200000−22−i6i622−22000−2i22i2−2i2i−2323000000000−22−i6i60000000i2−i2−6600000000000000000000000000
χ804-404-2002i3−2i32-422−22−4i4i-202i3−2i3200000−22−i6i622−220002i2−2i22i−2i23−23000000000−22−i6i60000000−i2i26−600000000000000000000000000
χ814-404-2002i3−2i32-4−22224i−4i-202i3−2i32000002−2i6−i6−22220002i2−2i2−2i2i−23230000000002−2i6−i60000000−i2i26−600000000000000000000000000
χ824-404-2002i3−2i32-4−2222−4i4i-202i3−2i32000002−2i6−i6−2222000−2i22i22i−2i23−230000000002−2i6−i60000000i2−i2−6600000000000000000000000000
χ83888-4-4-8-8-4-4-4-400002-422204444000000000000000000000-2-2000000000000000000000000000000000000000000
χ8488-8-4-48-844-4-4000024-2-220-4-4440000000000000000000002-2000000000000000000000000000000000000000000
χ858-80-480000-8442−4200-400040000042−4200−2222000000000000000000−2222000000000000000000000000000000000000000
χ868-80-480000-84−424200-4000400000−42420022−2200000000000000000022−22000000000000000000000000000000000000000
χ878-80-4-400−4i34i34442−4200202i3−2i3-200000−22222i6−2i6−22220000000000000000002−2−i6i60000000000000000000000000000000000000
χ888-80-4-400−4i34i344−424200202i3−2i3-20000022−22−2i62i622−22000000000000000000−22i6−i60000000000000000000000000000000000000
χ898-80-4-4004i3−4i34442−420020−2i32i3-200000−2222−2i62i6−22220000000000000000002−2i6−i60000000000000000000000000000000000000
χ908-80-4-4004i3−4i344−42420020−2i32i3-20000022−222i6−2i622−22000000000000000000−22−i6i60000000000000000000000000000000000000

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