Finite Group Databasebeta

← Group #11898300

Character table — Group #11898300

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444666688888888812121212121212121212121212121212161616161616161618181818242424242424242424242436363636484872
order122233444466666634666121212121212121212128888441212121212121244888888242424242424242412121212121212124444222661212242424244444664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1
χ311111111111111111111111111111111111-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-11
χ411111111111111111111111111111111111-1-11111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-111-1-1-1
χ51111111111111111111111111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ71111111111111111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-11111-1
χ81111111111111111111111111111111-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1111
χ9111111-1-1111111111-1111-1-1-1-11-1-111111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-111-1-111-1-11-1-1-1-11111-1-1111-11-1-1
χ10111111-1-1111111111-1111-1-1-1-11-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1111-1111-1-1-1-111-1-1-111-11
χ11111111-1-1111111111-1111-1-1-1-11-1-11111111-11-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-11-1-1-111-1-11111-11-11-1
χ12111111-1-1111111111-1111-1-1-1-11-1-11111111-11-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-11111-1-111-1-1-1-11-1-111
χ13111111-1-1111111111-1111-1-1-1-11-1-1111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-111-1-1-1-111-11-1-1-11111-1-1-1-1-11-111
χ14111111-1-1111111111-1111-1-1-1-11-1-1111-1-1-1-11-1-1-1-1-1-111-1-111-1-111-1-1-1-1111111-1-111-1-111-1-1-11111-1-1-1-111111-1-11-1
χ15111111-1-1111111111-1111-1-1-1-11-1-1111-1-1-1-1-11-1-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-11111-1-11-1-1-1-111-1-111-1-11-11-11
χ16111111-1-1111111111-1111-1-1-1-11-1-1111-1-1-1-1-11-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1111-1111-1-111-1-111-111-1-1
χ1722222222-2-22222222-222222-2-2-222-2-2-2000000-222-2-2-2-200000000000000000000000022220000000000000-2-2000
χ1822222222-2-22222222-222222-2-2-222-2-2-2000000-222-2-2-2-2000000000000000000000000-2-2-2-2000000000000022000
χ19222222-2-2-2-222222222222-2-222-2-2-2-2-2-20000002-2-222-2-200000000000000000000000022-2-20000000000000-22000
χ20222222-2-2-2-222222222222-2-222-2-2-2-2-2-20000002-2-222-2-2000000000000000000000000-2-22200000000000002-2000
χ2122222-122222-1-12-12-12-1-1-1-1-1-1-1222-1-122222222-1-1-1-1-1-100220000-1-1-1-1-1-1-1-12-12-1-1-1-1-10000220000000000000-1-10
χ2222222-122222-1-12-12-12-1-1-1-1-1-1-1222-1-122222-2-22-1-1-1-1-1-100220000-1-1-1-1-1-1-1-1-21-2111110000-2-20000000000000110
χ2322222-122222-1-12-12-12-1-1-1-1-1-1-1222-1-12-2-2-2-2222-1-1-1-1-1-100-2-20000111111112-12-1-1-1-1-10000-2-20000000000000110
χ2422222-122222-1-12-12-12-1-1-1-1-1-1-1222-1-12-2-2-2-2-2-22-1-1-1-1-1-100-2-2000011111111-21-2111110000220000000000000-1-10
χ2522222-1-2-2222-1-12-12-1-2-1-1-111112-2-2-1-1222222-2-21111-1-100-2-20000-1-1-1-111112-1-21-1-11100002-20000000000000-110
χ2622222-1-2-2222-1-12-12-1-2-1-1-111112-2-2-1-122222-22-21111-1-100-2-20000-1-1-1-11111-212-111-1-10000-2200000000000001-10
χ2722222-1-2-2222-1-12-12-1-2-1-1-111112-2-2-1-12-2-2-2-22-2-21111-1-1002200001111-1-1-1-12-1-21-1-1110000-2200000000000001-10
χ2822222-1-2-2222-1-12-12-1-2-1-1-111112-2-2-1-12-2-2-2-2-22-21111-1-1002200001111-1-1-1-1-212-111-1-100002-20000000000000-110
χ292222-122222-122-12-1-12-1-1-12222-1-1-122-1000022-1-1-1-1-1-1-12200222200000000-12-12-1-1-1-10000002-1-1-1-1-1-1-1-10000000
χ302222-122222-122-12-1-12-1-1-12222-1-1-122-1000022-1-1-1-1-1-1-1-2-200-2-2-2-200000000-12-12-1-1-1-1000000-2111111110000000
χ312222-122222-122-12-1-12-1-1-12222-1-1-122-10000-2-2-1-1-1-1-1-1-12200-2-2-2-2000000001-21-211110000002-1-1-1-111110000000
χ322222-122222-122-12-1-12-1-1-12222-1-1-122-10000-2-2-1-1-1-1-1-1-1-2-2002222000000001-21-21111000000-21111-1-1-1-10000000
χ332222-12-2-222-122-12-1-1-2-1-1-1-2-2-2-2-11122-100002-211111-1-1220022-2-200000000-121-2-1-111000000-211-1-1-1-1110000000
χ342222-12-2-222-122-12-1-1-2-1-1-1-2-2-2-2-11122-100002-211111-1-1-2-200-2-22200000000-121-2-1-1110000002-1-11111-1-10000000
χ352222-12-2-222-122-12-1-1-2-1-1-1-2-2-2-2-11122-10000-2211111-1-12200-2-222000000001-2-1211-1-1000000-211-1-111-1-10000000
χ362222-12-2-222-122-12-1-1-2-1-1-1-2-2-2-2-11122-10000-2211111-1-1-2-20022-2-2000000001-2-1211-1-10000002-1-111-1-1110000000
χ3722-2-222002-2-2-2-222-220-2-2200002002-2-222-2-200000002-22i−2i00000022-2-20000000000000000000002i−2i00002i−2i00000
χ3822-2-222002-2-2-2-222-220-2-2200002002-2-222-2-200000002-2−2i2i00000022-2-2000000000000000000000−2i2i0000−2i2i00000
χ3922-2-222002-2-2-2-222-220-2-2200002002-2-2-2-22200000002-22i−2i000000-2-2220000000000000000000002i−2i0000−2i2i00000
χ4022-2-222002-2-2-2-222-220-2-2200002002-2-2-2-22200000002-2−2i2i000000-2-222000000000000000000000−2i2i00002i−2i00000
χ412-22-2222-200-22-2-2-22202-2-22-20002-2000−i2i2−i2i20002-2000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2000000002-22-20000000−i2i2−i2i20000000
χ422-22-2222-200-22-2-2-22202-2-22-20002-2000−i2i2−i2i20002-2000000−i2i2i2−i2i2−i2−i2i2−i2i2−i2−i2i2i200000000-22-220000000i2−i2i2−i20000000
χ432-22-2222-200-22-2-2-22202-2-22-20002-2000i2−i2i2−i20002-2000000i2−i2−i2i2−i2i2i2−i2i2−i2i2i2−i2−i200000000-22-220000000−i2i2−i2i20000000
χ442-22-2222-200-22-2-2-22202-2-22-20002-2000i2−i2i2−i20002-2000000i2−i2i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2000000002-22-20000000i2−i2i2−i20000000
χ452-22-222-2200-22-2-2-22202-2-2-22000-22000−i2i2−i2i2000-22000000i2−i2−i2i2i2−i2−i2i2−i2i2i2i2−i2−i2000000002-2-220000000−i2i2i2−i20000000
χ462-22-222-2200-22-2-2-22202-2-2-22000-22000−i2i2−i2i2000-22000000i2−i2i2−i2−i2i2−i2i2−i2i2i2i2−i2−i200000000-222-20000000i2−i2−i2i20000000
χ472-22-222-2200-22-2-2-22202-2-2-22000-22000i2−i2i2−i2000-22000000−i2i2−i2i2i2−i2i2−i2i2−i2−i2−i2i2i200000000-222-20000000−i2i2i2−i20000000
χ482-22-222-2200-22-2-2-22202-2-2-22000-22000i2−i2i2−i2000-22000000−i2i2i2−i2−i2i2i2−i2i2−i2−i2−i2i2i2000000002-2-220000000i2−i2−i2i20000000
χ4944444-244-4-44-2-24-24-2-4-2-2-2-2-222-44422-4000000-4-2-222220000000000000000000000000000000000000000000000
χ5044444-2-4-4-4-44-2-24-24-24-2-2-222-2-2-4-4-422-4000000422-2-2220000000000000000000000000000000000000000000000
χ514444-2444-4-4-244-24-2-2-4-2-2-244-4-42-2-2-4-420000002-2-222220000000000000000000000000000000000000000000000
χ524444-24-4-4-4-4-244-24-2-24-2-2-2-4-444222-4-42000000-222-2-2220000000000000000000000000000000000000000000000
χ534444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2000044-21111110000000000000000-2-2-2-211110000000000000000000000
χ544444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000-4-4-211111100000000000000002222-1-1-1-10000000000000000000000
χ554444-2-244-4-4-2-2-2-2-2-21-4111-2-2222-2-2222000000211-1-1-1-1000000000000000000003-33-30000000000000000000000
χ564444-2-244-4-4-2-2-2-2-2-21-4111-2-2222-2-2222000000211-1-1-1-100000000000000000000-33-330000000000000000000000
χ574444-2-2-4-444-2-2-2-2-2-21-41112222-222-2-2-200004-42-1-1-1-1110000000000000000-2-22211-1-10000000000000000000000
χ584444-2-2-4-444-2-2-2-2-2-21-41112222-222-2-2-20000-442-1-1-1-111000000000000000022-2-2-1-1110000000000000000000000
χ594444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-2222222000000-2-1-111-1-1000000000000000000003-3-330000000000000000000000
χ604444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-2222222000000-2-1-111-1-100000000000000000000-333-30000000000000000000000
χ6144-4-44400-44-4-4-444-440-4-440000-400-44400000000000-440000000000000000000000000000000000000000000000
χ6244-4-44-2004-4-4224-2-4-2022-20000400-22-444-4-40000000-2200000000-2-2220000000000000000000000000000000000
χ6344-4-44-2004-4-4224-2-4-2022-20000400-22-4-4-4440000000-220000000022-2-20000000000000000000000000000000000
χ6444-4-44-200-44-4224-2-4-2022-20000-4002-24000000000002-2000000000000−2i32i3−2i32i3000000000000000000000000000000
χ6544-4-44-200-44-4224-2-4-2022-20000-4002-24000000000002-20000000000002i3−2i32i3−2i3000000000000000000000000000000
χ6644-4-4-24004-42-4-4-242-2022-20000-2004-4200000000000-224i−4i0000000000000000000000000000000−2i2i00000000000
χ6744-4-4-24004-42-4-4-242-2022-20000-2004-4200000000000-22−4i4i00000000000000000000000000000002i−2i00000000000
χ6844-4-4-2400-442-4-4-242-2022-20000200-44-2000000000002-20000000000000000000000000000000−2i32i30000000000000
χ6944-4-4-2400-442-4-4-242-2022-20000200-44-2000000000002-200000000000000000000000000000002i3−2i30000000000000
χ704-44-44-24-400-4-22-424-20-222-220004-4000−2i22i2−2i22i2000-22000000−2i22i20000i2−i2i2−i2i2i2−i2−i2000000000000000000000000000000
χ714-44-44-24-400-4-22-424-20-222-220004-40002i2−2i22i2−2i2000-220000002i2−2i20000−i2i2−i2i2−i2−i2i2i2000000000000000000000000000000
χ724-44-44-2-4400-4-22-424-20-2222-2000-44000−2i22i2−2i22i20002-20000002i2−2i20000i2−i2i2−i2−i2−i2i2i2000000000000000000000000000000
χ734-44-44-2-4400-4-22-424-20-2222-2000-440002i2−2i22i2−2i20002-2000000−2i22i20000−i2i2−i2i2i2i2−i2−i2000000000000000000000000000000
χ744-44-4-244-40024-42-4-2-20-2224-4000-220000000000-2200000000−2i22i2−2i22i2000000000000000000000000000i2−i2i2−i20000000
χ754-44-4-244-40024-42-4-2-20-2224-4000-220000000000-22000000002i2−2i22i2−2i2000000000000000000000000000−i2i2−i2i20000000
χ764-44-4-24-440024-42-4-2-20-222-440002-200000000002-200000000−2i22i22i2−2i2000000000000000000000000000i2−i2−i2i20000000
χ774-44-4-24-440024-42-4-2-20-222-440002-200000000002-2000000002i2−2i2−2i22i2000000000000000000000000000−i2i2i2−i20000000
χ784-4-444400004-44-4-4-440-44-40000000000−2i22i22i2−2i200000000000000000−2i22i22i2−2i20000000000000000000000000000000000
χ794-4-444400004-44-4-4-440-44-400000000002i2−2i2−2i22i2000000000000000002i2−2i2−2i22i20000000000000000000000000000000000
χ804-4-444-2000042-2-42-4-202-2200−2i32i3000000−2i22i22i2−2i200000−2i32i30000000000i2−i2−i2i26−6−66000000000000000000000000000000
χ814-4-444-2000042-2-42-4-202-2200−2i32i30000002i2−2i2−2i22i200000−2i32i30000000000−i2i2i2−i2−666−6000000000000000000000000000000
χ824-4-444-2000042-2-42-4-202-22002i3−2i3000000−2i22i22i2−2i2000002i3−2i30000000000i2−i2−i2i2−666−6000000000000000000000000000000
χ834-4-444-2000042-2-42-4-202-22002i3−2i30000002i2−2i2−2i22i2000002i3−2i30000000000−i2i2i2−i26−6−66000000000000000000000000000000
χ8488-8-8-4-4008-8444-4-4420-2-220000-400-444000000000002-20000000000000000000000000000000000000000000000
χ8588-8-8-4-400-88444-4-4420-2-2200004004-4-400000000000-220000000000000000000000000000000000000000000000
χ868-88-8-4-48-8004-4444-4202-2-2-44000-4400000000002-200000000000000000000000000000000000000000000000000
χ878-88-8-4-4-88004-4444-4202-2-24-40004-40000000000-2200000000000000000000000000000000000000000000000000
χ888-8-88-480000-4-884-84-404-44000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-40000-44-444420-22-200−4i34i30000000000000002i3−2i3000000000000000000000000000000000000000000000000
χ908-8-88-4-40000-44-444420-22-2004i3−4i3000000000000000−2i32i3000000000000000000000000000000000000000000000000

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