Finite Group Databasebeta

← Group #11780810

Character table — Group #11780810

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222244444444444444466668888888121212121212121212121212121216161616161616161624242424242424242424363636364848487272
order122233444466666634666121212121212121212128888121212121212122244882424242424242424412121212121212126688121224242424888826688
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111
χ51111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ81111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111-1-1
χ92222222-2-222222222-2222-2-2-2-2-22222-22222-2-2-2-2-2220000-2-22222-2-2-2-20000000000000000000000000000
χ102222222-2-222222222-2222-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-222000022-2-2-2-222220000000000000000000000000000
χ11222222-222-22222222-2222222-2-2-2-2-2-220000-222-2-2-2-222-2-200000000000000000002200-2-20000000000000
χ12222222-222-22222222-2222222-2-2-2-2-2-220000-222-2-2-2-2-2-2220000000000000000000-2-200220000000000000
χ13222222-2-2-2-222222222222-2-2-222-2-2-2-2-200002-2-222-2-20000000000000000000000000000000002i2i−2i−2i00000
χ14222222-2-2-2-222222222222-2-2-222-2-2-2-2-200002-2-222-2-2000000000000000000000000000000000−2i−2i2i2i00000
χ1522222-1222222-1-1-12-12-1-1-12-1-1-1-122-1-1222222-1-1-1-1-1-1000022-1-1-1-1-1-1-1-12-1-122-1-1-1-1000000000000002-1-100
χ1622222-1222222-1-1-12-12-1-1-12-1-1-1-122-1-1222222-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1-211-2-2111100000000000000-21100
χ1722222-1222222-1-1-12-12-1-1-12-1-1-1-122-1-12-2-2-2-22-1-1-1-1-1-10000-2-2111111112-1-122-1-1-1-100000000000000-21100
χ1822222-1222222-1-1-12-12-1-1-12-1-1-1-122-1-12-2-2-2-22-1-1-1-1-1-10000-2-211111111-211-2-21111000000000000002-1-100
χ1922222-12-2-2222-1-1-12-1-2-1-1-1-2111122-1-1-22222-21111-1-10000-2-2-1-1-1-111110−i3i300−i3−i3i3i3000000000000000−i3i300
χ2022222-12-2-2222-1-1-12-1-2-1-1-1-2111122-1-1-22222-21111-1-10000-2-2-1-1-1-111110i3−i300i3i3−i3−i3000000000000000i3−i300
χ2122222-12-2-2222-1-1-12-1-2-1-1-1-2111122-1-1-2-2-2-2-2-21111-1-10000221111-1-1-1-10−i3i300−i3−i3i3i3000000000000000i3−i300
χ2222222-12-2-2222-1-1-12-1-2-1-1-1-2111122-1-1-2-2-2-2-2-21111-1-10000221111-1-1-1-10i3−i300i3i3−i3−i3000000000000000−i3i300
χ232222-122222-1-1222-1-12-1-1-1-12222-1-122-10000-1-1-1-1-1-1-122220000000000222-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000000
χ242222-122222-1-1222-1-12-1-1-1-12222-1-122-10000-1-1-1-1-1-1-122220000000000-2-2-2111111-1-1-2-2-1-11111000000000
χ252222-122222-1-1222-1-12-1-1-1-12222-1-122-10000-1-1-1-1-1-1-1-2-2-2-20000000000222-1-1-1-1-1-111-2-2111111000000000
χ262222-122222-1-1222-1-12-1-1-1-12222-1-122-10000-1-1-1-1-1-1-1-2-2-2-20000000000-2-2-2111111112211-1-1-1-1000000000
χ272222-12-222-2-1-1222-1-1-2-1-1-1-122-2-211-2-2-100001-1-1111122-2-20000000000000−i3i3−i3i3−i3i3-1-10011−i3−i3i3i3000000000
χ282222-12-222-2-1-1222-1-1-2-1-1-1-122-2-211-2-2-100001-1-1111122-2-20000000000000i3−i3i3−i3i3−i3-1-10011i3i3−i3−i3000000000
χ292222-12-222-2-1-1222-1-1-2-1-1-1-122-2-211-2-2-100001-1-11111-2-2220000000000000−i3i3−i3i3−i3i31100-1-1i3i3−i3−i3000000000
χ302222-12-222-2-1-1222-1-1-2-1-1-1-122-2-211-2-2-100001-1-11111-2-2220000000000000i3−i3i3−i3i3−i31100-1-1−i3−i3i3i3000000000
χ3122-2-22202-202-22-2-2-2202-2-2-22-20000002−i2−i2i2i202-20000002i−2i−i2i2−i2−i2i2i2−i2−i2i2i200000000000002i−2i00002−22−200000
χ3222-2-22202-202-22-2-2-2202-2-2-22-20000002−i2−i2i2i202-2000000−2i2i−i2i2−i2−i2i2i2−i2−i2i2i20000000000000−2i2i0000−22−2200000
χ3322-2-22202-202-22-2-2-2202-2-2-22-20000002i2i2−i2−i202-20000002i−2ii2−i2i2i2−i2−i2i2i2−i2−i200000000000002i−2i0000−22−2200000
χ3422-2-22202-202-22-2-2-2202-2-2-22-20000002i2i2−i2−i202-2000000−2i2ii2−i2i2i2−i2−i2i2i2−i2−i20000000000000−2i2i00002−22−200000
χ3522-2-2220-2202-22-2-2-2202-2-22-22000000-2−i2−i2i2i20-2200002-200i2−i2−i2−i2i2i2i2i2−i2−i20000000002-200000000−i2i2i2−i200000
χ3622-2-2220-2202-22-2-2-2202-2-22-22000000-2−i2−i2i2i20-220000-2200i2−i2−i2−i2i2i2i2i2−i2−i2000000000-2200000000i2−i2−i2i200000
χ3722-2-2220-2202-22-2-2-2202-2-22-22000000-2i2i2−i2−i20-2200002-200−i2i2i2i2−i2−i2−i2−i2i2i20000000002-200000000i2−i2−i2i200000
χ3822-2-2220-2202-22-2-2-2202-2-22-22000000-2i2i2−i2−i20-220000-2200−i2i2i2i2−i2−i2−i2−i2i2i2000000000-2200000000−i2i2i2−i200000
χ392-2-2222-2002-2-2-2-22220-2-22000002-22-202-22-2000002-20000002-22-20000000000000002−2002−22−200000002−2
χ402-2-2222-2002-2-2-2-22220-2-22000002-22-202-22-2000002-20000002-22-2000000000000000−2200−22−220000000−22
χ412-2-2222-2002-2-2-2-22220-2-22000002-22-20-22-22000002-2000000-22-220000000000000002−2002−22−20000000−22
χ422-2-2222-2002-2-2-2-22220-2-22000002-22-20-22-22000002-2000000-22-22000000000000000−2200−22−2200000002−2
χ4344444-2-444-444-2-2-24-2-4-2-2-24-2-222-4-42240000-4-2-22222000000000000000000000000000000000000000000
χ4444444-2-4-4-4-444-2-2-24-24-2-2-2-422-2-2-4-422-40000422-2-222000000000000000000000000000000000000000000
χ454444-244-4-44-2-2444-2-2-4-2-2-22-4-4-4-4-2-2442000022222-2-2000000000000000000000000000000000000000000
χ464444-24-4-4-4-4-2-2444-2-24-2-2-22-4-44422-4-420000-222-2-222000000000000000000000000000000000000000000
χ474444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000-2111111000000000000004-2-2-2-211110000000000000000000
χ484444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000-211111100000000000000-42222-1-1-1-10000000000000000000
χ494444-2-24-4-44-2-2-2-2-2-21-411122222-2-2-2-2200002-1-1-1-111000000000000000−2i32i300i3i3−i3−i30000000000000000000
χ504444-2-24-4-44-2-2-2-2-2-21-411122222-2-2-2-2200002-1-1-1-1110000000000000002i3−2i300−i3−i3i3i30000000000000000000
χ514444-2-2-444-4-2-2-2-2-2-21-4111-2-2-2222222-20000211-1-1-1-100000000000000000−2i32i3i3−i3i3−i30000000000000000000
χ524444-2-2-444-4-2-2-2-2-2-21-4111-2-2-2222222-20000211-1-1-1-1000000000000000002i3−2i3−i3i3−i3i30000000000000000000
χ534444-2-2-4-4-4-4-2-2-2-2-2-214111222-2-2222220000-2-1-111-1-100000000000000000003-3-330000000000000000000
χ544444-2-2-4-4-4-4-2-2-2-2-2-214111222-2-2222220000-2-1-111-1-10000000000000000000-333-30000000000000000000
χ5544-4-44-204-404-4-222-4-20-222-4-220000004−2i2−2i22i22i20-2200000000−2i22i2i2i2−i2−i2i2i2−i2−i20000000000000000000000000000
χ5644-4-44-204-404-4-222-4-20-222-4-2200000042i22i2−2i2−2i20-22000000002i2−2i2−i2−i2i2i2−i2−i2i2i20000000000000000000000000000
χ5744-4-44-20-4404-4-222-4-20-22242-2000000-4−2i2−2i22i22i202-2000000002i2−2i2i2i2−i2−i2−i2−i2i2i20000000000000000000000000000
χ5844-4-44-20-4404-4-222-4-20-22242-2000000-42i22i2−2i2−2i202-200000000−2i22i2−i2−i2i2i2i2i2−i2−i20000000000000000000000000000
χ5944-4-4-2404-40-224-4-42-20-22224-4000000-200000-220000004i−4i00000000000000000000000−2i2i0000000000000
χ6044-4-4-2404-40-224-4-42-20-22224-4000000-200000-22000000−4i4i000000000000000000000002i−2i0000000000000
χ6144-4-4-240-440-224-4-42-20-222-2-440000002000002-200004-4000000000000000000000-2200000000000000000
χ6244-4-4-240-440-224-4-42-20-222-2-440000002000002-20000-440000000000000000000002-200000000000000000
χ634-44-4440000-44-44-4-440-44-40000000000−2i22i22i2−2i20000000000000−2i22i22i2−2i200000000000000000000000000000000
χ644-44-4440000-44-44-4-440-44-400000000002i2−2i2−2i22i200000000000002i2−2i2−2i22i200000000000000000000000000000000
χ654-44-44-20000-442-22-4-202-22000−2i32i300000−2i22i22i2−2i2000−2i32i300000000i2−i2−i2i26−66−60000000000000000000000000000
χ664-44-44-20000-442-22-4-202-22000−2i32i3000002i2−2i2−2i22i2000−2i32i300000000−i2i2i2−i2−66−660000000000000000000000000000
χ674-44-44-20000-442-22-4-202-220002i3−2i300000−2i22i22i2−2i20002i3−2i300000000i2−i2−i2i2−66−660000000000000000000000000000
χ684-44-44-20000-442-22-4-202-220002i3−2i3000002i2−2i2−2i22i20002i3−2i300000000−i2i2i2−i26−66−60000000000000000000000000000
χ694-4-4444400-4-4-4-4-44440-4-4400000-44-440000000000-44000000000000000000000000000000000000000000
χ704-4-444-2400-4-4-422-24-2022-200000-442-200000000002-20000000000−2i32i32i3−2i30000000000000000000000000000
χ714-4-444-2400-4-4-422-24-2022-200000-442-200000000002-200000000002i3−2i3−2i32i30000000000000000000000000000
χ724-4-444-2-4004-4-422-24-2022-2000004-4-2204-44-400000-22000000-22-2200000000000000000000000000000000
χ734-4-444-2-4004-4-422-24-2022-2000004-4-220-44-4400000-220000002-22-200000000000000000000000000000000
χ744-4-44-24400-422-4-44-2-2022-2000002-2-4400000000002-200000000000000000000000000000i6−i6−i6i6000000000
χ754-4-44-24400-422-4-44-2-2022-2000002-2-4400000000002-200000000000000000000000000000−i6i6i6−i6000000000
χ764-4-44-24-400422-4-44-2-2022-200000-224-40000000000-22000000000000000000000000022−2200−22−22000000000
χ774-4-44-24-400422-4-44-2-2022-200000-224-40000000000-220000000000000000000000000−2222002−22−2000000000
χ7888-8-8-4-408-80-44-4444202-2-24-44000000-4000002-20000000000000000000000000000000000000000000000
χ7988-8-8-4-40-880-44-4444202-2-2-44-4000000400000-220000000000000000000000000000000000000000000000
χ808-88-8-4800004-4-88-84-404-44000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-400004-44-44420-22-2000−4i34i30000000000002i3−2i300000000000000000000000000000000000000000000
χ828-88-8-4-400004-44-44420-22-20004i3−4i3000000000000−2i32i300000000000000000000000000000000000000000000
χ838-8-88-4-4800-84444-4-420-2-22000004-44-40000000000-22000000000000000000000000000000000000000000
χ848-8-88-4-4-80084444-4-420-2-2200000-44-4400000000002-2000000000000000000000000000000000000000000

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