Finite Group Databasebeta

← Group #11878896

Character table — Group #11878896

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444488888888121212121212121212121212121212121212121212121212161616161616161618181818242424243636484848487272
order1222334444446666663666121212121212121212121212441212121212128888888824242424242424242424242424242424121212121212121222444444441212121244
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
χ9111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-11-11-11-11-11-1
χ10111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111-1-11-111-1-11-11
χ11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111-111-1-11-111-1-11
χ12111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-11-111-1-11-111-1
χ13111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-11-111-1-11-11-11
χ14111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-111-1-11-111-11-1
χ15111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1111-1-11-111-1-111-1
χ16111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-11-11-11-11-11-1-11
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-20022-2-2-2-20000000000000000000000000000000022220000-2-2000000
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-20022-2-2-2-200000000000000000000000000000000-2-2-2-2000022000000
χ19222222-2-222-2-22222222222-2-2-2-22222-2-2-2-200-2-222-2-20000000000000000000000000000000022-2-20000-22000000
χ20222222-2-222-2-22222222222-2-2-2-22222-2-2-2-200-2-222-2-200000000000000000000000000000000-2-22200002-2000000
χ2122222-122222222-1-12-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-12-12-1-1-1-1-1000000220000-1-100
χ2222222-122222222-1-12-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-10000-2-2-2-200000000111111112-12-1-1-1-1-1000000-2-200001100
χ2322222-122222222-1-12-1-1-1-1-122-1-122-1-122-1-1-2-2-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1-21-211111000000-2-200001100
χ2422222-122222222-1-12-1-1-1-1-122-1-122-1-122-1-1-2-2-1-1-1-1-1-10000-2-2-2-20000000011111111-21-211111000000220000-1-100
χ2522222-1-2-2-2-22222-1-12-1-1-1-1-1-2-211-2-21122-1-12-21111-1-1000022-2-200000000-1-1-1-111112-1-21-1-1110000002-20000-1100
χ2622222-1-2-2-2-22222-1-12-1-1-1-1-1-2-211-2-21122-1-12-21111-1-10000-2-222000000001111-1-1-1-12-1-21-1-111000000-2200001-100
χ2722222-1-2-2-2-22222-1-12-1-1-1-1-1-2-211-2-21122-1-1-221111-1-1000022-2-200000000-1-1-1-11111-212-111-1-1000000-2200001-100
χ2822222-1-2-2-2-22222-1-12-1-1-1-1-1-2-211-2-21122-1-1-221111-1-10000-2-222000000001111-1-1-1-1-212-111-1-10000002-20000-1100
χ292222-12222222-1-122-12-1-1-1-1-1-122-1-122-1-12222-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000-12-12-1-1-1-10000220000-1-10000
χ302222-12222222-1-122-12-1-1-1-1-1-122-1-122-1-12222-1-1-1-1-1-1-2-2-2-200001111111100000000-12-12-1-1-1-10000-2-20000110000
χ312222-12222222-1-122-12-1-1-1-1-1-122-1-122-1-122-2-2-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000001-21-211110000-2-20000110000
χ322222-12222222-1-122-12-1-1-1-1-1-122-1-122-1-122-2-2-1-1-1-1-1-1-2-2-2-2000011111111000000001-21-211110000220000-1-10000
χ332222-12-2-2-2-222-1-122-12-1-1-1-111-2-211-2-2-1-1222-21111-1-122-2-20000-1-1-1-1111100000000-121-2-1-11100002-20000-110000
χ342222-12-2-2-2-222-1-122-12-1-1-1-111-2-211-2-2-1-1222-21111-1-1-2-22200001111-1-1-1-100000000-121-2-1-1110000-2200001-10000
χ352222-12-2-2-2-222-1-122-12-1-1-1-111-2-211-2-2-1-122-221111-1-122-2-20000-1-1-1-11111000000001-2-1211-1-10000-2200001-10000
χ362222-12-2-2-2-222-1-122-12-1-1-1-111-2-211-2-2-1-122-221111-1-1-2-22200001111-1-1-1-1000000001-2-1211-1-100002-20000-110000
χ3722-2-2222-200002-22-2-2-222-2-22-22-200000000002-200002−22−22−22−222−2−222−2−222−2−222−2−2000000002-22-2000000000000
χ3822-2-2222-200002-22-2-2-222-2-22-22-200000000002-200002−22−2−22−2222−2−222−2−2−2−222−2−22200000000-22-22000000000000
χ3922-2-2222-200002-22-2-2-222-2-22-22-200000000002-20000−22−222−22−2−2−222−2−22222−2−222−2−200000000-22-22000000000000
χ4022-2-2222-200002-22-2-2-222-2-22-22-200000000002-20000−22−22−22−22−2−222−2−222−2−222−2−222000000002-22-2000000000000
χ4122-2-222-2200002-22-2-2-222-2-2-22-220000000000-2200002−2−222−2−2222−2−2−2−22222−2−2−2−222000000002-2-22000000000000
χ4222-2-222-2200002-22-2-2-222-2-2-22-220000000000-2200002−2−22−222−222−2−2−2−222−2−22222−2−200000000-222-2000000000000
χ4322-2-222-2200002-22-2-2-222-2-2-22-220000000000-220000−222−22−2−22−2−22222−2−222−2−2−2−22200000000-222-2000000000000
χ4422-2-222-2200002-22-2-2-222-2-2-22-220000000000-220000−222−2−222−2−2−22222−2−2−2−22222−2−2000000002-2-22000000000000
χ4544444-244-4-4-4-444-2-24-2-2-2-2-244-2-2-4-422-4-42200-2-22222000000000000000000000000000000000000000000000000
χ4644444-2-4-444-4-444-2-24-2-2-2-2-2-4-42244-2-2-4-4220022-2-222000000000000000000000000000000000000000000000000
χ474444-2444-4-4-4-4-2-244-24-2-2-2-2-2-24422-4-422-4-400-2-22222000000000000000000000000000000000000000000000000
χ484444-24-4-444-4-4-2-244-24-2-2-2-222-4-4-2-24422-4-40022-2-222000000000000000000000000000000000000000000000000
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
χ514444-2-244-4-4-4-4-2-2-2-2-2-21111-2-2-2-2222222220011-1-1-1-100000000000000000000000000003-33-30000000000000000
χ524444-2-244-4-4-4-4-2-2-2-2-2-21111-2-2-2-2222222220011-1-1-1-10000000000000000000000000000-33-330000000000000000
χ534444-2-2-4-444-4-4-2-2-2-2-2-211112222-2-2-2-2222200-1-111-1-100000000000000000000000000003-3-330000000000000000
χ544444-2-2-4-444-4-4-2-2-2-2-2-211112222-2-2-2-2222200-1-111-1-10000000000000000000000000000-333-30000000000000000
χ554444-2-2-4-4-4-444-2-2-2-2-2-2111122222222-2-2-2-24-4-1-1-1-111000000000000000000000000-2-22211-1-10000000000000000
χ564444-2-2-4-4-4-444-2-2-2-2-2-2111122222222-2-2-2-2-44-1-1-1-11100000000000000000000000022-2-2-1-1110000000000000000
χ5744-4-44-24-400004-4-22-42-2-2224-4-220000000000-220000000022−2222−2200000000−2−222−2−222000000000000000000000000
χ5844-4-44-24-400004-4-22-42-2-2224-4-220000000000-2200000000−2222−22220000000022−2−222−2−2000000000000000000000000
χ5944-4-44-2-4400004-4-22-42-2-222-442-200000000002-20000000022−22−222200000000−2−22222−2−2000000000000000000000000
χ6044-4-44-2-4400004-4-22-42-2-222-442-200000000002-200000000−222222−220000000022−2−2−2−222000000000000000000000000
χ6144-4-4-244-40000-224-42-4-2-222-224-40000000000-22000022−2222−220000−2−222−2−22200000000000000000000000000000000
χ6244-4-4-244-40000-224-42-4-2-222-224-40000000000-220000−2222−2222000022−2−222−2−200000000000000000000000000000000
χ6344-4-4-24-440000-224-42-4-2-2222-2-4400000000002-2000022−22−22220000−2−22222−2−200000000000000000000000000000000
χ6444-4-4-24-440000-224-42-4-2-2222-2-4400000000002-20000−222222−22000022−2−2−2−22200000000000000000000000000000000
χ654-44-44400004-4-4-4-4-4444-4-44000000004-44-40000004-4000000000000000000000000000000000000000000000000
χ664-44-4440000-44-4-4-4-4444-4-4400000000-44-44000000-44000000000000000000000000000000000000000000000000
χ674-44-44-200004-4-4-4224-2-222-2000000004-4-22000000-2200000000000000000000−2i32i3−2i32i3000000000000000000000000
χ684-44-44-200004-4-4-4224-2-222-2000000004-4-22000000-22000000000000000000002i3−2i32i3−2i3000000000000000000000000
χ694-44-44-20000-44-4-4224-2-222-200000000-442-20000002-20000000000000000−2i32i3−2i32i30000000000000000000000000000
χ704-44-44-20000-44-4-4224-2-222-200000000-442-20000002-200000000000000002i3−2i32i3−2i30000000000000000000000000000
χ714-44-4-2400004-422-4-4-24-222-200000000-224-4000000-2200000000−2i32i3−2i32i3000000000000000000000000000000000000
χ724-44-4-2400004-422-4-4-24-222-200000000-224-4000000-22000000002i3−2i32i3−2i3000000000000000000000000000000000000
χ734-44-4-240000-4422-4-4-24-222-2000000002-2-440000002-2000000000000−2i32i3−2i32i300000000000000000000000000000000
χ744-44-4-240000-4422-4-4-24-222-2000000002-2-440000002-20000000000002i3−2i32i3−2i300000000000000000000000000000000
χ754-4-4444004-400-44-44-4-44-44-400004-44-4000000004-400000000000000000000000000000000000000000000000000
χ764-4-444400-4400-44-44-4-44-44-40000-44-4400000000-4400000000000000000000000000000000000000000000000000
χ774-4-444-2004-400-442-2-42-22-2200004-4-2200000000-22000000000000000000i6−i6−i6i6i6−i6−i6i6000000000000000000000000
χ784-4-444-2004-400-442-2-42-22-2200004-4-2200000000-22000000000000000000−i6i6i6−i6−i6i6i6−i6000000000000000000000000
χ794-4-444-200-4400-442-2-42-22-220000-442-2000000002-2000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000000000
χ804-4-444-200-4400-442-2-42-22-220000-442-2000000002-2000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000000000
χ814-4-44-24004-4002-2-442-4-22-220000-224-400000000-220000000000i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000
χ824-4-44-24004-4002-2-442-4-22-220000-224-400000000-220000000000−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000
χ834-4-44-2400-44002-2-442-4-22-2200002-2-44000000002-20000000000i6−i6−i6i6−i6i6i6−i600000000000000000000000000000000
χ844-4-44-2400-44002-2-442-4-22-2200002-2-44000000002-20000000000−i6i6i6−i6i6−i6−i6i600000000000000000000000000000000
χ8588-8-8-4-48-80000-44-444422-2-2-44-4400000000002-20000000000000000000000000000000000000000000000000000
χ8688-8-8-4-4-880000-44-444422-2-24-44-40000000000-220000000000000000000000000000000000000000000000000000
χ878-88-8-4-400008-84444-4-42-2-2200000000-44-440000002-2000000000000000000000000000000000000000000000000
χ888-88-8-4-40000-884444-4-42-2-22000000004-44-4000000-22000000000000000000000000000000000000000000000000
χ898-8-88-4-4008-8004-44-4442-22-20000-44-44000000002-200000000000000000000000000000000000000000000000000
χ908-8-88-4-400-88004-44-4442-22-200004-44-400000000-2200000000000000000000000000000000000000000000000000

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