Finite Group Databasebeta

← Group #11878849

Character table — Group #11878849

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444488888888121212121212121212121212121212121212121212121212161616161616161618181818242424243636484848487272
order12223344444466666636661212121212121212121212122212121212121288888888242424242424242424242424242424246666666622444444441212121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111
χ51111111111111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ71111111111111111111111111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111
χ81111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ9111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-11-11-11-11-11-1
χ10111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111-1-11-111-1-11-11
χ11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111-111-1-11-111-1-11
χ12111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-11-111-1-11-111-1
χ13111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-11-111-1-11-11-11
χ14111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-111-1-11-111-11-1
χ15111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1111-1-11-111-1-111-1
χ16111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-11-11-11-11-11-1-11
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-200-2-222-2-20000000000000000000000000000000022220000-2-2000000
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-200-2-222-2-200000000000000000000000000000000-2-2-2-2000022000000
χ19222222-2-222-2-22222222222-2-2-2-22222-2-2-2-200-2-2-2-2220000000000000000000000000000000022-2-20000-22000000
χ20222222-2-222-2-22222222222-2-2-2-22222-2-2-2-200-2-2-2-22200000000000000000000000000000000-2-22200002-2000000
χ2122222-122222222-1-12-1-1-1-1-122-1-122-1-1-1-12222-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-12-12-1-1-1-1-1000000220000-1-100
χ2222222-122222222-1-12-1-1-1-1-122-1-122-1-1-1-12222-1-1-1-1-1-10000-2-2-2-200000000111111112-12-1-1-1-1-1000000-2-200001100
χ2322222-122222222-1-12-1-1-1-1-122-1-122-1-1-1-122-2-2-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1-21-211111000000-2-200001100
χ2422222-122222222-1-12-1-1-1-1-122-1-122-1-1-1-122-2-2-1-1-1-1-1-10000-2-2-2-20000000011111111-21-211111000000220000-1-100
χ2522222-1-2-2-2-22222-1-12-1-1-1-1-1-2-211-2-211-1-1222-2-1-11111000022-2-200000000-1-1-1-111112-1-21-1-1110000002-20000-1100
χ2622222-1-2-2-2-22222-1-12-1-1-1-1-1-2-211-2-211-1-1222-2-1-111110000-2-222000000001111-1-1-1-12-1-21-1-111000000-2200001-100
χ2722222-1-2-2-2-22222-1-12-1-1-1-1-1-2-211-2-211-1-122-22-1-11111000022-2-200000000-1-1-1-11111-212-111-1-1000000-2200001-100
χ2822222-1-2-2-2-22222-1-12-1-1-1-1-1-2-211-2-211-1-122-22-1-111110000-2-222000000001111-1-1-1-1-212-111-1-10000002-20000-1100
χ292222-12222222-1-122-12-1-1-1-1-1-122-1-12222-1-122-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000-12-12-1-1-1-10000220000-1-10000
χ302222-12222222-1-122-12-1-1-1-1-1-122-1-12222-1-122-1-1-1-1-1-1-2-2-2-200001111111100000000-12-12-1-1-1-10000-2-20000110000
χ312222-12222222-1-122-12-1-1-1-1-1-122-1-12222-1-1-2-2-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000001-21-211110000-2-20000110000
χ322222-12222222-1-122-12-1-1-1-1-1-122-1-12222-1-1-2-2-1-1-1-1-1-1-2-2-2-2000011111111000000001-21-211110000220000-1-10000
χ332222-12-2-2-2-222-1-122-12-1-1-1-111-2-211-2-222-1-12-2-1-1111122-2-20000-1-1-1-1111100000000-121-2-1-11100002-20000-110000
χ342222-12-2-2-2-222-1-122-12-1-1-1-111-2-211-2-222-1-12-2-1-11111-2-22200001111-1-1-1-100000000-121-2-1-1110000-2200001-10000
χ352222-12-2-2-2-222-1-122-12-1-1-1-111-2-211-2-222-1-1-22-1-1111122-2-20000-1-1-1-11111000000001-2-1211-1-10000-2200001-10000
χ362222-12-2-2-2-222-1-122-12-1-1-1-111-2-211-2-222-1-1-22-1-11111-2-22200001111-1-1-1-1000000001-2-1211-1-100002-20000-110000
χ3722-2-2222-200002-22-2-2-222-2-22-22-20000000000002-200−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000002-22-2000000000000
χ3822-2-2222-200002-22-2-2-222-2-22-22-20000000000002-200−i2i2−i2i2i2−i2i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000-22-22000000000000
χ3922-2-2222-200002-22-2-2-222-2-22-22-20000000000002-200i2−i2i2−i2−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000-22-22000000000000
χ4022-2-2222-200002-22-2-2-222-2-22-22-20000000000002-200i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000002-22-2000000000000
χ4122-2-222-2200002-22-2-2-222-2-2-22-22000000000000-2200−i2i2i2−i2−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000002-2-22000000000000
χ4222-2-222-2200002-22-2-2-222-2-2-22-22000000000000-2200−i2i2i2−i2i2−i2−i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000-222-2000000000000
χ4322-2-222-2200002-22-2-2-222-2-2-22-22000000000000-2200i2−i2−i2i2−i2i2i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000-222-2000000000000
χ4422-2-222-2200002-22-2-2-222-2-2-22-22000000000000-2200i2−i2−i2i2i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000002-2-22000000000000
χ4544444-244-4-4-4-444-2-24-2-2-2-2-244-2-2-4-42222-4-40022-2-222000000000000000000000000000000000000000000000000
χ4644444-2-4-444-4-444-2-24-2-2-2-2-2-4-42244-2-222-4-4002222-2-2000000000000000000000000000000000000000000000000
χ474444-2444-4-4-4-4-2-244-24-2-2-2-2-2-24422-4-4-4-4220022-2-222000000000000000000000000000000000000000000000000
χ484444-24-4-444-4-4-2-244-24-2-2-2-222-4-4-2-244-4-422002222-2-2000000000000000000000000000000000000000000000000
χ494444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-244111111000000000000000000000000-2-2-2-211110000000000000000
χ504444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-2-4-41111110000000000000000000000002222-1-1-1-10000000000000000
χ514444-2-244-4-4-4-4-2-2-2-2-2-21111-2-2-2-22222222200-1-111-1-100000000000000000000000000003-33-30000000000000000
χ524444-2-244-4-4-4-4-2-2-2-2-2-21111-2-2-2-22222222200-1-111-1-10000000000000000000000000000-33-330000000000000000
χ534444-2-2-4-444-4-4-2-2-2-2-2-211112222-2-2-2-2222200-1-1-1-11100000000000000000000000000003-3-330000000000000000
χ544444-2-2-4-444-4-4-2-2-2-2-2-211112222-2-2-2-2222200-1-1-1-1110000000000000000000000000000-333-30000000000000000
χ554444-2-2-4-4-4-444-2-2-2-2-2-2111122222222-2-2-2-24-411-1-1-1-1000000000000000000000000-2-22211-1-10000000000000000
χ564444-2-2-4-4-4-444-2-2-2-2-2-2111122222222-2-2-2-2-4411-1-1-1-100000000000000000000000022-2-2-1-1110000000000000000
χ5744-4-44-24-400004-4-22-42-2-2224-4-22000000000000-22000000−2i22i2−2i22i200000000i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ5844-4-44-24-400004-4-22-42-2-2224-4-22000000000000-220000002i2−2i22i2−2i200000000−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ5944-4-44-2-4400004-4-22-42-2-222-442-20000000000002-2000000−2i22i22i2−2i200000000i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ6044-4-44-2-4400004-4-22-42-2-222-442-20000000000002-20000002i2−2i2−2i22i200000000−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ6144-4-4-244-40000-224-42-4-2-222-224-4000000000000-2200−2i22i2−2i22i20000i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000
χ6244-4-4-244-40000-224-42-4-2-222-224-4000000000000-22002i2−2i22i2−2i20000−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000
χ6344-4-4-24-440000-224-42-4-2-2222-2-440000000000002-200−2i22i22i2−2i20000i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000
χ6444-4-4-24-440000-224-42-4-2-2222-2-440000000000002-2002i2−2i2−2i22i20000−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000
χ654-44-44400004-4-4-4-444-44-44-4000000004-44-4004-40000000000000000000000000000000000000000000000000000
χ664-44-4440000-44-4-4-444-44-44-400000000-44-4400-440000000000000000000000000000000000000000000000000000
χ674-44-44-200004-4-4-42-242-22-2200000000-224-400-220000000000000000000023−2323−230000000000000000000000000000
χ684-44-44-200004-4-4-42-242-22-2200000000-224-400-2200000000000000000000−2323−23230000000000000000000000000000
χ694-44-44-20000-44-4-42-242-22-22000000002-2-44002-200000000000000000000000023−2323−23000000000000000000000000
χ704-44-44-20000-44-4-42-242-22-22000000002-2-44002-2000000000000000000000000−2323−2323000000000000000000000000
χ714-44-4-2400004-422-44-2-4-22-22000000004-4-2200-22000000000000−2i32i3−2i32i3000000000000000000000000000000000000
χ724-44-4-2400004-422-44-2-4-22-22000000004-4-2200-220000000000002i3−2i32i3−2i3000000000000000000000000000000000000
χ734-44-4-240000-4422-44-2-4-22-2200000000-442-2002-20000000000000000−2i32i3−2i32i300000000000000000000000000000000
χ744-44-4-240000-4422-44-2-4-22-2200000000-442-2002-200000000000000002i3−2i32i3−2i300000000000000000000000000000000
χ754-4-4444004-400-44-4-4-444-4-4400004-44-400000000004-4000000000000000000000000000000000000000000000000
χ764-4-444400-4400-44-4-4-444-4-440000-44-440000000000-44000000000000000000000000000000000000000000000000
χ774-4-444-2004-400-4422-4-2-222-200004-4-220000000000-220000000000000000i6−i6−i6i6i6−i6−i6i6000000000000000000000000
χ784-4-444-2004-400-4422-4-2-222-200004-4-220000000000-220000000000000000−i6i6i6−i6−i6i6i6−i6000000000000000000000000
χ794-4-444-200-4400-4422-4-2-222-20000-442-200000000002-20000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000000000
χ804-4-444-200-4400-4422-4-2-222-20000-442-200000000002-20000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000000000
χ814-4-44-24004-4002-2-4-424-222-20000-224-40000000000-22000000006−6−666−6−6600000000000000000000000000000000
χ824-4-44-24004-4002-2-4-424-222-20000-224-40000000000-2200000000−666−6−666−600000000000000000000000000000000
χ834-4-44-2400-44002-2-4-424-222-200002-2-4400000000002-2000000006−6−66−666−600000000000000000000000000000000
χ844-4-44-2400-44002-2-4-424-222-200002-2-4400000000002-200000000−666−66−6−6600000000000000000000000000000000
χ8588-8-8-4-48-80000-44-444422-2-2-44-440000000000002-200000000000000000000000000000000000000000000000000
χ8688-8-8-4-4-880000-44-444422-2-24-44-4000000000000-2200000000000000000000000000000000000000000000000000
χ878-88-8-4-400008-8444-4-442-22-200000000-44-44002-20000000000000000000000000000000000000000000000000000
χ888-88-8-4-40000-88444-4-442-22-2000000004-44-400-220000000000000000000000000000000000000000000000000000
χ898-8-88-4-4008-8004-4444-42-2-220000-44-4400000000002-2000000000000000000000000000000000000000000000000
χ908-8-88-4-400-88004-4444-42-2-2200004-44-40000000000-22000000000000000000000000000000000000000000000000

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