Finite Group Databasebeta

← Group #11895690

Character table — Group #11895690

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222222244444444444444446666888888881212121212121212121212121212121212121212121216161616161616161818242424243636363636363648484848
order12223344666666888836661212121224242424242424244444241212242424244488881212121212121212242424242424242466661212121244244444444886121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111-1-111111111-1111-1-111-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-11-1-11
χ4111111111111111111111111111111111111-1-1-1-1111111-1111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-111-1
χ51111111111111111111111111111111111-1-111111111111-1-1-111-1-11111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111-1-111-1-11111111-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-11-1-11
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
χ81111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111111
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-11-11-1-111-1-111-1-1
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11111-1-1-1-1-1-111
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-111-1-1-1-1-11-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11-1-11-111-1-1111-11-1
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-111-1-1-1-11111-11-11
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-11-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-111-1-111-1-111-11-11
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-11-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11-1-11-1-1-111111-11-1
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-11-111-1-111-1-1-1-111
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111-11-1111-1-1-1-111-1-1
χ17222222-2-222222200002222-2-2-2-200000000222200-2-20000-2-20000-2-2-2-222220000000000000000220000-20000000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-200-2-200002-20000-2-222-2-2220000000000000000-2-2000020000000000
χ19222222-2-222222200002222-2-2-2-200000000-2-22200-2-20000-22000022-2-222-2-20000000000000000-2-2000020000000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-200-2-200002200002222-2-2-2-20000000000000000220000-20000000000
χ2122222-122-1-1222-12222-1-1-1-1-12-122222-1-1-1-1220022-1-1-1-1-1-1022200-1-10000-1-1-1-1-1-100002-1-1-12-1-1-10022000000000-100-1
χ2222222-122-1-1222-12222-1-1-1-1-12-122222-1-1-1-12200-2-2-1-1-1-1-1-1022200-1-10000-1-1-1-1-1-10000-2111-211100-2-20000000001001
χ2322222-122-1-1222-12222-1-1-1-1-12-122222-1-1-1-1-2-20022-1-1-1-1-1-10-2-2-20011000011111100002-1-1-12-1-1-100-2-20000000001001
χ2422222-122-1-1222-12222-1-1-1-1-12-122222-1-1-1-1-2-200-2-2-1-1-1-1-1-10-2-2-2001100001111110000-2111-21110022000000000-100-1
χ2522222-122-1-1222-1-2-2-2-2-1-1-1-1-12-12-2-2-2-2111122002-2-1-1111102-2-200-1-10000-1-1111100002-1-1-1-2111002-2000000000-1001
χ2622222-122-1-1222-1-2-2-2-2-1-1-1-1-12-12-2-2-2-211112200-22-1-1111102-2-200-1-10000-1-111110000-21112-1-1-100-22000000000100-1
χ2722222-122-1-1222-1-2-2-2-2-1-1-1-1-12-12-2-2-2-21111-2-2002-2-1-111110-2220011000011-1-1-1-100002-1-1-1-211100-22000000000100-1
χ2822222-122-1-1222-1-2-2-2-2-1-1-1-1-12-12-2-2-2-21111-2-200-22-1-111110-2220011000011-1-1-1-10000-21112-1-1-1002-2000000000-1001
χ292222-122222-1-1-122222-1-1-1-12-12-1-1-1-1-12222002222-1-1-1-1-1-120002200-1-1-1-1000000-1-1-1-1-12-1-1-12-1-100002200000000-1-10
χ302222-122222-1-1-122222-1-1-1-12-12-1-1-1-1-122220022-2-2-1-1-1-1-1-120002200-1-1-1-1000000-1-1-1-11-2111-2110000-2-200000000110
χ312222-122222-1-1-122222-1-1-1-12-12-1-1-1-1-1222200-2-222-1-1-1-1-1-1-2000-2-20011110000001111-12-1-1-12-1-10000-2-200000000110
χ322222-122222-1-1-122222-1-1-1-12-12-1-1-1-1-1222200-2-2-2-2-1-1-1-1-1-1-2000-2-200111100000011111-2111-21100002200000000-1-10
χ332222-122222-1-1-12-2-2-2-2-1-1-1-12-12-11111-2-2-2-200222-2-1-111112000-2-200-1-1-1-10000001111-12-1-11-21100002-200000000-110
χ342222-122222-1-1-12-2-2-2-2-1-1-1-12-12-11111-2-2-2-20022-22-1-111112000-2-200-1-1-1-100000011111-211-12-1-10000-22000000001-10
χ352222-122222-1-1-12-2-2-2-2-1-1-1-12-12-11111-2-2-2-200-2-22-2-1-11111-200022001111000000-1-1-1-1-12-1-11-2110000-22000000001-10
χ362222-122222-1-1-12-2-2-2-2-1-1-1-12-12-11111-2-2-2-200-2-2-22-1-11111-200022001111000000-1-1-1-11-211-12-1-100002-200000000-110
χ3722-2-22200-2-22-2-2222−2−22-2-22000022−2−222−2−22-22i−2i000022−2−2002−2−i2i200002i−2i2-222−2−2−i2−i2i2i2000000002i−2i000000000−i2i20000
χ3822-2-22200-2-22-2-2222−2−22-2-22000022−2−222−2−22-2−2i2i000022−2−2002−2i2−i20000−2i2i2-222−2−2i2i2−i2−i200000000−2i2i000000000i2−i20000
χ3922-2-22200-2-22-2-2222−2−22-2-22000022−2−222−2−2-222i−2i000022−2−200−22−i2i200002i−2i-22−2−222−i2−i2i2i200000000−2i2i000000000i2−i20000
χ4022-2-22200-2-22-2-2222−2−22-2-22000022−2−222−2−2-22−2i2i000022−2−200−22i2−i20000−2i2i-22−2−222i2i2−i2−i2000000002i−2i000000000−i2i20000
χ4122-2-22200-2-22-2-22−2−2222-2-220000−2−222−2−2222-22i−2i0000−2−22200−22i2−i200002i−2i2-2−2−222i2i2−i2−i2000000002i−2i000000000i2−i20000
χ4222-2-22200-2-22-2-22−2−2222-2-220000−2−222−2−2222-2−2i2i0000−2−22200−22−i2i20000−2i2i2-2−2−222−i2−i2i2i200000000−2i2i000000000−i2i20000
χ4322-2-22200-2-22-2-22−2−2222-2-220000−2−222−2−222-222i−2i0000−2−222002−2i2−i200002i−2i-2222−2−2i2i2−i2−i200000000−2i2i000000000−i2i20000
χ4422-2-22200-2-22-2-22−2−2222-2-220000−2−222−2−222-22−2i2i0000−2−222002−2−i2i20000−2i2i-2222−2−2−i2−i2i2i2000000002i−2i000000000i2−i20000
χ452-22-222-222-2-22-2-22i−2i2i−2i2-22-2-2-2222i−2i2i−2i2i−2i2i−2i0000002-22i−2i2i−2i00000000000000000000000000000000000002-22i−2i000000
χ462-22-222-222-2-22-2-22i−2i2i−2i2-22-2-2-2222i−2i2i−2i2i−2i2i−2i0000002-22i−2i2i−2i0000000000000000000000000000000000000-22−2i2i000000
χ472-22-222-222-2-22-2-2−2i2i−2i2i2-22-2-2-222−2i2i−2i2i−2i2i−2i2i0000002-2−2i2i−2i2i00000000000000000000000000000000000002-2−2i2i000000
χ482-22-222-222-2-22-2-2−2i2i−2i2i2-22-2-2-222−2i2i−2i2i−2i2i−2i2i0000002-2−2i2i−2i2i0000000000000000000000000000000000000-222i−2i000000
χ4944444-2-4-4-2-2444-20000-2-2-2-22-42-4000000004400002200000-40000220000-2-2000000000000000000000000000000000
χ5044444-2-4-4-2-2444-20000-2-2-2-22-42-400000000-4-40000220000040000-2-2000022000000000000000000000000000000000
χ514444-24-4-444-2-2-240000-2-2-2-2-42-4200000000004400220000-4000000022-2-200000000000000000000000000000000000
χ524444-24-4-444-2-2-240000-2-2-2-2-42-420000000000-4-40022000040000000-2-22200000000000000000000000000000000000
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
χ5744-4-44-200224-4-4-22222−22−22-222-200002222−22−22−2−2224-4000000−2−2220022−2200000000-22−2−22200000000000000000000000000000
χ5844-4-44-200224-4-4-22222−22−22-222-200002222−22−22−2−222-44000000−2−22200−2222000000002-222−2−200000000000000000000000000000
χ5944-4-44-200224-4-4-2−22−222222-222-20000−22−22222222−2−24-400000022−2−200−222200000000-2222−2−200000000000000000000000000000
χ6044-4-44-200224-4-4-2−22−222222-222-20000−22−22222222−2−2-4400000022−2−20022−22000000002-2−2−22200000000000000000000000000000
χ6144-4-4-2400-4-4-22242222−22−22-222-20000−2−2222222−22−22004i−4i0000−2−2220000−2i22i20000−2i2i000000i2i2−i2−i20000000000000000000000000
χ6244-4-4-2400-4-4-22242222−22−22-222-20000−2−2222222−22−2200−4i4i0000−2−22200002i2−2i200002i−2i000000−i2−i2i2i20000000000000000000000000
χ6344-4-4-2400-4-4-2224−22−222222-222-2000022−2−2−22−222222004i−4i000022−2−200002i2−2i20000−2i2i000000−i2−i2i2i20000000000000000000000000
χ6444-4-4-2400-4-4-2224−22−222222-222-2000022−2−2−22−22222200−4i4i000022−2−20000−2i22i200002i−2i000000i2i2−i2−i20000000000000000000000000
χ654-44-4444-44-4-44-4-400004-44-444-4-400000000000000-44000000000000000000000000000000000000000000000000000
χ664-44-44-24-4-22-44-420000-22-22-242-4000000000000002-200000000000000000023−2323−2300000000000000000000000000000
χ674-44-44-24-4-22-44-420000-22-22-242-4000000000000002-2000000000000000000−2323−232300000000000000000000000000000
χ684-44-44-2-44-22-44-424i−4i4i−4i-22-222-4-244i−4i4i−4i−2i2i−2i2i000000-22−2i2i−2i2i00000000000000000000000000000000000000000000000
χ694-44-44-2-44-22-44-42−4i4i−4i4i-22-222-4-24−4i4i−4i4i2i−2i2i−2i000000-222i−2i2i−2i00000000000000000000000000000000000000000000000
χ704-44-4-244-44-42-22-40000-22-224-2-42000000000000002-2000000000000000000000023−2323−230000000000000000000000000
χ714-44-4-244-44-42-22-40000-22-224-2-42000000000000002-20000000000000000000000−2323−23230000000000000000000000000
χ724-44-4-24-444-42-22-44i−4i4i−4i-22-22-424-2−2i2i−2i2i4i−4i4i−4i000000-22−2i2i−2i2i00000000000000000000000000000000000000000000000
χ734-44-4-24-444-42-22-4−4i4i−4i4i-22-22-424-22i−2i2i−2i−4i4i−4i4i000000-222i−2i2i−2i00000000000000000000000000000000000000000000000
χ744-44-4-2-2-44-222-2224i−4i4i−4i1-11-122-2-2−2i2i−2i2i−2i2i−2i2i0000001-1i−ii−i0000000000000000000000003-3003i−3i00000000000000000
χ754-44-4-2-2-44-222-2224i−4i4i−4i1-11-122-2-2−2i2i−2i2i−2i2i−2i2i0000001-1i−ii−i000000000000000000000000-3300−3i3i00000000000000000
χ764-44-4-2-2-44-222-222−4i4i−4i4i1-11-122-2-22i−2i2i−2i2i−2i2i−2i0000001-1−ii−ii0000000000000000000000003-300−3i3i00000000000000000
χ774-44-4-2-2-44-222-222−4i4i−4i4i1-11-122-2-22i−2i2i−2i2i−2i2i−2i0000001-1−ii−ii000000000000000000000000-33003i−3i00000000000000000
χ784-4-444400-44-4-44-4−2i22i22i2−2i244-4-40000−2i22i22i2−2i2−2i22i22i2−2i200000000−2i22i22i2−2i200000000000000000000000000000000000000000000000
χ794-4-444400-44-4-44-42i2−2i2−2i22i244-4-400002i2−2i2−2i22i22i2−2i2−2i22i2000000002i2−2i2−2i22i200000000000000000000000000000000000000000000000
χ804-4-444-2002-2-4-442−2i22i22i2−2i2-2-2220000−2i22i22i2−2i2i2−i2−i2i200000000i2−i2−i2i2000000−2i32i30000006−6−6600000000000000000000000000000
χ814-4-444-2002-2-4-442−2i22i22i2−2i2-2-2220000−2i22i22i2−2i2i2−i2−i2i200000000i2−i2−i2i20000002i3−2i3000000−666−600000000000000000000000000000
χ824-4-444-2002-2-4-4422i2−2i2−2i22i2-2-22200002i2−2i2−2i22i2−i2i2i2−i200000000−i2i2i2−i2000000−2i32i3000000−666−600000000000000000000000000000
χ834-4-444-2002-2-4-4422i2−2i2−2i22i2-2-22200002i2−2i2−2i22i2−i2i2i2−i200000000−i2i2i2−i20000002i3−2i30000006−6−6600000000000000000000000000000
χ844-4-44-2400-4422-2-4−2i22i22i2−2i2-2-2220000i2−i2−i2i2−2i22i22i2−2i200000000i2−i2−i2i20000000023−2300000000i6−i6−i6i60000000000000000000000000
χ854-4-44-2400-4422-2-4−2i22i22i2−2i2-2-2220000i2−i2−i2i2−2i22i22i2−2i200000000i2−i2−i2i200000000−232300000000−i6i6i6−i60000000000000000000000000
χ864-4-44-2400-4422-2-42i2−2i2−2i22i2-2-2220000−i2i2i2−i22i2−2i2−2i22i200000000−i2i2i2−i20000000023−2300000000−i6i6i6−i60000000000000000000000000
χ874-4-44-2400-4422-2-42i2−2i2−2i22i2-2-2220000−i2i2i2−i22i2−2i2−2i22i200000000−i2i2i2−i200000000−232300000000i6−i6−i6i60000000000000000000000000
χ888888-4-4-8-8-4-4-4-4-4-400002222444400000000000000-2-2000000000000000000000000000000000000000000000000000
χ8988-8-8-4-40044-444-44242−42−422-2-220000−22−222222−22−2222220000000022−2−200000000000000000000000000000000000000000000000
χ9088-8-8-4-40044-444-4−42−4242422-2-2200002222−22−222222−22−2200000000−2−22200000000000000000000000000000000000000000000000
χ918-88-8-4-48-8-444-44400002-22-2-4-44400000000000000-22000000000000000000000000000000000000000000000000000
χ928-8-88-4-4004-444-44−4i24i24i2−4i222-2-200002i2−2i2−2i22i22i2−2i2−2i22i200000000−i2i2i2−i200000000000000000000000000000000000000000000000
χ938-8-88-4-4004-444-444i2−4i2−4i24i222-2-20000−2i22i22i2−2i2−2i22i22i2−2i200000000i2−i2−i2i200000000000000000000000000000000000000000000000

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