Finite Group Databasebeta

← Group #11887451

Character table — Group #11887451

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222222244444444444444446666888888881212121212121212121212121212121212121212121216161616161616161818242424243636363636363648484848
order122233446666668888366612121212242424242424242444442412122424242424668888121212121212242424242424242466661212121222244422444886121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-111-1-1-1-1
χ3111111111111111111111111111111111111-1-1111111111-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-11-1-11-1-1-1-1-1-1-11-11-1
χ4111111111111111111111111111111111111-1-1-1-11111111-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-111-111-1-1-11-11
χ51111111111111111111111111111111111-1-11111111111-11-1-111-1-1-1-111111111-1-1-1-111111111-1-1-111-1-1-1-1-1-1-1-1-11-11
χ61111111111111111111111111111111111-1-111-1-1111111-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-111-1-11-11-1
χ71111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111-1-1-1-1
χ81111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1111111
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111-1-1-1-1-111-1
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-11-1-11
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-111-1-1-1-11-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11-11-1-1-11111-1-111
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-11-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-11-111-1-1-11111-1-1
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-11-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-11-11-1-1-1-1111111-1-1
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-1-11-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-11-1111-1-1-111-1-111
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1111-1-1-1-11-1-11
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1111-1-1-111-1
χ17222222-2-222222200002222-2-2-2-200000000222200-2-20000-2-2-2-200002222-2-2000000000000000022000000-200000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-200-2-20000-22-2-2000022-2-2220000000000000000-2-2000000200000000
χ19222222-2-222222200002222-2-2-2-200000000-2-22200-2-200002-2220000-2-222-2-20000000000000000-2-2000000200000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-200-2-2000022220000-2-2-2-222000000000000000022000000-200000000
χ2122222-122-1-122-122222-1-1-1-1-122-12222-1-1-1-1220022-1-1-1-1-1-120-1-10022-1-100000000-1-1-1-12-1-1-12-1-1-10020020000000-10-10
χ2222222-122-1-122-122222-1-1-1-1-122-12222-1-1-1-12200-2-2-1-1-1-1-1-120-1-10022-1-100000000-1-1-1-1-2111-211100-200-200000001010
χ2322222-122-1-122-122222-1-1-1-1-122-12222-1-1-1-1-2-20022-1-1-1-1-1-1-201100-2-2110000000011112-1-1-12-1-1-100-200-200000001010
χ2422222-122-1-122-122222-1-1-1-1-122-12222-1-1-1-1-2-200-2-2-1-1-1-1-1-1-201100-2-211000000001111-2111-21110020020000000-10-10
χ2522222-122-1-122-12-2-2-2-2-1-1-1-1-122-1-2-2-2-2111122002-2-1-1111120-1-100-2-2-1-10000000011112-1-1-1-211100-2002000000010-10
χ2622222-122-1-122-12-2-2-2-2-1-1-1-1-122-1-2-2-2-211112200-22-1-1111120-1-100-2-2-1-1000000001111-21112-1-1-100200-20000000-1010
χ2722222-122-1-122-12-2-2-2-2-1-1-1-1-122-1-2-2-2-21111-2-2002-2-1-11111-201100221100000000-1-1-1-12-1-1-1-211100200-20000000-1010
χ2822222-122-1-122-12-2-2-2-2-1-1-1-1-122-1-2-2-2-21111-2-200-22-1-11111-201100221100000000-1-1-1-1-21112-1-1-100-2002000000010-10
χ292222-122222-1-12-12222-1-1-1-12-1-12-1-1-1-12222002222-1-1-1-1-1-10200220000-1-1-1-1-1-1-1-10000-12-1-1-12-1-100022000000000-10-1
χ302222-122222-1-12-12222-1-1-1-12-1-12-1-1-1-122220022-2-2-1-1-1-1-1-10200220000-1-1-1-1-1-1-1-100001-2111-211000-2-2000000000101
χ312222-122222-1-12-12222-1-1-1-12-1-12-1-1-1-1222200-2-222-1-1-1-1-1-10-200-2-20000111111110000-12-1-1-12-1-1000-2-2000000000101
χ322222-122222-1-12-12222-1-1-1-12-1-12-1-1-1-1222200-2-2-2-2-1-1-1-1-1-10-200-2-200001111111100001-2111-21100022000000000-10-1
χ332222-122222-1-12-1-2-2-2-2-1-1-1-12-1-121111-2-2-2-200222-2-1-111110200-2-20000-1-1-1-111110000-12-1-11-211000-22000000000-101
χ342222-122222-1-12-1-2-2-2-2-1-1-1-12-1-121111-2-2-2-20022-22-1-111110200-2-20000-1-1-1-1111100001-211-12-1-10002-200000000010-1
χ352222-122222-1-12-1-2-2-2-2-1-1-1-12-1-121111-2-2-2-200-2-22-2-1-111110-2002200001111-1-1-1-10000-12-1-11-2110002-200000000010-1
χ362222-122222-1-12-1-2-2-2-2-1-1-1-12-1-121111-2-2-2-200-2-2-22-1-111110-2002200001111-1-1-1-100001-211-12-1-1000-22000000000-101
χ3722-2-222002-2-2-2-22−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2i2i22i−2i2i−2i0000−i2−i2i2i200002−22−22i−2i2i−2i0022−2−222−2−2000000002-2000000000−i2i20000
χ3822-2-222002-2-2-2-22−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2i2i22i−2i−2i2i0000−i2−i2i2i20000−222−22i−2i−2i2i00−2−22222−2−200000000-22000000000i2−i20000
χ3922-2-222002-2-2-2-22−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2i2i2−2i2i2i−2i0000−i2−i2i2i200002−2−22−2i2i2i−2i0022−2−2−2−22200000000-22000000000i2−i20000
χ4022-2-222002-2-2-2-22−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2i2i2−2i2i−2i2i0000−i2−i2i2i20000−22−22−2i2i−2i2i00−2−222−2−222000000002-2000000000−i2i20000
χ4122-2-222002-2-2-2-22i2i2−i2−i222-2-20000i2i2−i2−i2i2i2−i2−i22i−2i2i−2i0000i2i2−i2−i20000−22−222i−2i2i−2i00−2−222−2−222000000002-2000000000i2−i20000
χ4222-2-222002-2-2-2-22i2i2−i2−i222-2-20000i2i2−i2−i2i2i2−i2−i22i−2i−2i2i0000i2i2−i2−i200002−2−222i−2i−2i2i0022−2−2−2−22200000000-22000000000−i2i20000
χ4322-2-222002-2-2-2-22i2i2−i2−i222-2-20000i2i2−i2−i2i2i2−i2−i2−2i2i2i−2i0000i2i2−i2−i20000−222−2−2i2i2i−2i00−2−22222−2−200000000-22000000000−i2i20000
χ4422-2-222002-2-2-2-22i2i2−i2−i222-2-20000i2i2−i2−i2i2i2−i2−i2−2i2i−2i2i0000i2i2−i2−i200002−22−2−2i2i−2i2i0022−2−222−2−2000000002-2000000000i2−i20000
χ452-22-2222-2-22-22-2-22i−2i2i−2i2-22-22-22-22i−2i2i−2i2i−2i2i−2i0000002-22i−2i2i−2i0000000000000000000000000000000000002-202i−2i000000
χ462-22-2222-2-22-22-2-22i−2i2i−2i2-22-22-22-22i−2i2i−2i2i−2i2i−2i0000002-22i−2i2i−2i000000000000000000000000000000000000-220−2i2i000000
χ472-22-2222-2-22-22-2-2−2i2i−2i2i2-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000002-2−2i2i−2i2i0000000000000000000000000000000000002-20−2i2i000000
χ482-22-2222-2-22-22-2-2−2i2i−2i2i2-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000002-2−2i2i−2i2i000000000000000000000000000000000000-2202i−2i000000
χ4944444-2-4-4-2-244-240000-2-2-2-22-4-4200000000440000220000-40220000-2-20000000000000000000000000000000000000
χ5044444-2-4-4-2-244-240000-2-2-2-22-4-4200000000-4-4000022000040-2-20000220000000000000000000000000000000000000
χ514444-24-4-444-2-24-20000-2-2-2-2-422-4000000000044002200000-400000000-2-222000000000000000000000000000000000
χ524444-24-4-444-2-24-20000-2-2-2-2-422-40000000000-4-400220000040000000022-2-2000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-20000441111110000000000000000000000-2-211-2-21100000000000000000
χ544444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-20000-4-4111111000000000000000000000022-1-122-1-100000000000000000
χ554444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-22222222200004-411-1-1-1-10000000000000000000000-2-21122-1-100000000000000000
χ564444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-2222222220000-4411-1-1-1-1000000000000000000000022-1-1-2-21100000000000000000
χ5744-4-44-200-22-4-424−2i2−2i22i22i2-2-2220000−2i2−2i22i22i2i2i2−i2−i24i−4i000000i2i2−i2−i200000022−22−2i2i00000000−2−2220000000000000000000000000
χ5844-4-44-200-22-4-424−2i2−2i22i22i2-2-2220000−2i2−2i22i22i2i2i2−i2−i2−4i4i000000i2i2−i2−i2000000−22222i−2i0000000022−2−20000000000000000000000000
χ5944-4-44-200-22-4-4242i22i2−2i2−2i2-2-22200002i22i2−2i2−2i2−i2−i2i2i24i−4i000000−i2−i2i2i2000000−2222−2i2i0000000022−2−20000000000000000000000000
χ6044-4-44-200-22-4-4242i22i2−2i2−2i2-2-22200002i22i2−2i2−2i2−i2−i2i2i2−4i4i000000−i2−i2i2i200000022−222i−2i00000000−2−2220000000000000000000000000
χ6144-4-4-24004-422-4-2−2i2−2i22i22i2-2-2220000i2i2−i2−i2−2i2−2i22i22i2004i−4i0000i2i2−i2−i2000022−220000−2i2i00−2−22200000000000000000000000000000
χ6244-4-4-24004-422-4-2−2i2−2i22i22i2-2-2220000i2i2−i2−i2−2i2−2i22i22i200−4i4i0000i2i2−i2−i20000−222200002i−2i0022−2−200000000000000000000000000000
χ6344-4-4-24004-422-4-22i22i2−2i2−2i2-2-2220000−i2−i2i2i22i22i2−2i2−2i2004i−4i0000−i2−i2i2i20000−22220000−2i2i0022−2−200000000000000000000000000000
χ6444-4-4-24004-422-4-22i22i2−2i2−2i2-2-2220000−i2−i2i2i22i22i2−2i2−2i200−4i4i0000−i2−i2i2i2000022−2200002i−2i00−2−22200000000000000000000000000000
χ654-44-444-44-44-44-4-400004-44-4-44-4400000000000000-44000000000000000000000000000000000000000000000000000
χ664-44-44-24-42-2-442-44i−4i4i−4i-22-22-2-4424i−4i4i−4i−2i2i−2i2i000000-22−2i2i−2i2i00000000000000000000000000000000000000000000000
χ674-44-44-24-42-2-442-4−4i4i−4i4i-22-22-2-442−4i4i−4i4i2i−2i2i−2i000000-222i−2i2i−2i00000000000000000000000000000000000000000000000
χ684-44-44-2-442-2-442-40000-22-2224-4-2000000000000002-20000000000000000000000−2i32i3−2i32i30000000000000000000000000
χ694-44-44-2-442-2-442-40000-22-2224-4-2000000000000002-200000000000000000000002i3−2i32i3−2i30000000000000000000000000
χ704-44-4-244-4-442-2-424i−4i4i−4i-22-2242-2-4−2i2i−2i2i4i−4i4i−4i000000-22−2i2i−2i2i00000000000000000000000000000000000000000000000
χ714-44-4-244-4-442-2-42−4i4i−4i4i-22-2242-2-42i−2i2i−2i−4i4i−4i4i000000-222i−2i2i−2i00000000000000000000000000000000000000000000000
χ724-44-4-24-44-442-2-420000-22-22-4-224000000000000002-200000000000000000023−2323−2300000000000000000000000000000
χ734-44-4-24-44-442-2-420000-22-22-4-224000000000000002-2000000000000000000−2323−232300000000000000000000000000000
χ744-44-4-2-24-42-22-2224i−4i4i−4i1-11-1-22-22−2i2i−2i2i−2i2i−2i2i0000001-1i−ii−i0000000000000000000000003-3003i−3i00000000000000000
χ754-44-4-2-24-42-22-2224i−4i4i−4i1-11-1-22-22−2i2i−2i2i−2i2i−2i2i0000001-1i−ii−i000000000000000000000000-3300−3i3i00000000000000000
χ764-44-4-2-24-42-22-222−4i4i−4i4i1-11-1-22-222i−2i2i−2i2i−2i2i−2i0000001-1−ii−ii0000000000000000000000003-300−3i3i00000000000000000
χ774-44-4-2-24-42-22-222−4i4i−4i4i1-11-1-22-222i−2i2i−2i2i−2i2i−2i0000001-1−ii−ii000000000000000000000000-33003i−3i00000000000000000
χ784-4-444400-4-44-44-422−22−22224-4-44000022−22−222222−22−22220000000022−22−222200000000000000000000000000000000000000000000000
χ794-4-444400-4-44-44-4−222222−224-4-440000−222222−22−222222−2200000000−222222−2200000000000000000000000000000000000000000000000
χ804-4-444-200224-4-2-422−22−2222-222-2000022−22−2222−222−200000000−222−200−2i32i300000000000000i6−i6−i6i60000000000000000000000000
χ814-4-444-200224-4-2-422−22−2222-222-2000022−22−2222−222−200000000−222−2002i3−2i300000000000000−i6i6i6−i60000000000000000000000000
χ824-4-444-200224-4-2-4−222222−22-222-20000−222222−222−2−22000000002−2−2200−2i32i300000000000000−i6i6i6−i60000000000000000000000000
χ834-4-444-200224-4-2-4−222222−22-222-20000−222222−222−2−22000000002−2−22002i3−2i300000000000000i6−i6−i6i60000000000000000000000000
χ844-4-44-2400-4-4-224222−22−2222-222-20000−222−222−22−222200000000−222−200000000000023−236−6−6600000000000000000000000000000
χ854-4-44-2400-4-4-224222−22−2222-222-20000−222−222−22−222200000000−222−2000000000000−2323−666−600000000000000000000000000000
χ864-4-44-2400-4-4-2242−222222−22-222-200002−2−22−222222−22000000002−2−2200000000000023−23−666−600000000000000000000000000000
χ874-4-44-2400-4-4-2242−222222−22-222-200002−2−22−222222−22000000002−2−22000000000000−23236−6−6600000000000000000000000000000
χ888888-4-4-8-8-4-4-4-4-4-400002222444400000000000000-2-2000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-44444-4−4i2−4i24i24i222-2-200002i22i2−2i2−2i22i22i2−2i2−2i200000000−i2−i2i2i200000000000000000000000000000000000000000000000
χ9088-8-8-4-400-44444-44i24i2−4i2−4i222-2-20000−2i2−2i22i22i2−2i2−2i22i22i200000000i2i2−i2−i200000000000000000000000000000000000000000000000
χ918-88-8-4-4-884-44-44400002-22-24-44-400000000000000-22000000000000000000000000000000000000000000000000000
χ928-8-88-4-40044-44-4442−42−42422-2-220000−222222−22−222222−22000000002−2−2200000000000000000000000000000000000000000000000
χ938-8-88-4-40044-44-44−424242−422-2-22000022−22−222222−22−222200000000−222−200000000000000000000000000000000000000000000000

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