Finite Group Databasebeta

← Group #11888598

Character table — Group #11888598

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444444668888888888888881212121212121212121212121212121616161616162424242424242424242424243636363648487272
order12223344666666234666661212121244246666612121212121212122444488121212121212121266612121244468121212242424242288121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-111111111111111-11-11-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11-1-1111-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-11
χ41111111111111111111111111111-1-11-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-11-1-1-1-1-1-111-1-1111-1
χ511111111111111111111111111-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111111-11-11-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-11-1-1111-1-111111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11-1-11-111111111-1-1-1-11-1
χ811111111111111111111111111-1-1-1-11-1-1111-1-111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-11111-11
χ911111111111111-11-1-1-11111111111-1-111-1-1-1-1-1-111-1-11-1-1-1-11111-1-1-1-1-1-1111-1-1-111-11-1-11111-1-1-1-1111-11-1
χ1011111111111111-11-1-1-11111111111-1-111-1-1-1-1-1-111-1-11-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-11111-111-1-11111-1-1-11-11
χ1111111111111111-11-1-1-1111111111-11-1-1-1-1-1-111-111-1-11-1-1111111-1-11111-1-1-1111-1-111-1-1-1-111-1-11111-11-1-1
χ1211111111111111-11-1-1-1111111111-11-1-1-1-1-1-111-111-1-11-1-111-1-111-1-11111-1-1-11111-1-111-1-1-1-1-111-1-1-1-11-111
χ1311111111111111-11-1-1-11111111-1-11-1-111-1-1-1-1-1-111-1-1-1111111-1-1111111111-1-1-11-1-1-1-11-1-111-1-111-1-11-1-11
χ1411111111111111-11-1-1-11111111-1-11-1-111-1-1-1-1-1-111-1-1-11111-1-1-1-1111111111-1-1-1-1-11-111-1-1-1-111-1-111-111-1
χ1511111111111111-11-1-1-11111111-1-1-11-1-1-1-1-1-111-111-1-1-111-1-111-1-111-1-1-1-1-1-1-1111-111-1-111111-1-1-1-1-1-1-1111
χ1611111111111111-11-1-1-11111111-1-1-11-1-1-1-1-1-111-111-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-111111-1-11111-1-11111111-1-1-1
χ17222222-2-222222222-222222-2-2-2-2220020022-200-2-2-2-2-2-2-22000022220000000000000-20-200000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-20020022-200-2-2-2-2-222-20000-2-2-2-2000000000000020200000000000000
χ19222222-2-2222222-222-2-2222-2-2-2-22200-200-2-22002-2-222-22-2000022-2-20000000000000-20200000000000000
χ20222222-2-2222222-222-2-2222-2-2-2-2-2-200-200-2-22002-2-2222-220000-2-222000000000000020-200000000000000
χ2122222-1222-1-122-12-12-1-1-1-1-1-1-12222222-1-1-1-1-1-1-12-1-1-1-12222200-1-1-1-1-1-1-1-12-1-12-1-1020-10-1-1-1000000000000
χ2222222-1222-1-122-12-12-1-1-1-1-1-1-12222-2-2211-1-1-1112-1-1-1-1222-2-200-1-1-1-11111-211-2110-20-10-111000000000000
χ2322222-1222-1-122-12-12-1-1-1-1-1-1-122-2-2222-1-1-1-1-1-1-12-1-1-1-1-2-2-2-2-200111111112-1-12-1-10-2010111000000000000
χ2422222-1222-1-122-12-12-1-1-1-1-1-1-122-2-2-2-2211-1-1-1112-1-1-1-1-2-2-222001111-1-1-1-1-211-211020101-1-1000000000000
χ2522222-1222-1-122-1-2-1-211-1-1-1-1-122222-2-2-1-111111-2-1-1112-2-2-2-200-1-11111112-1-1-211020-101-1-1000000000000
χ2622222-1222-1-122-1-2-1-211-1-1-1-1-12222-22-211111-1-1-2-1-1112-2-22200-1-111-1-1-1-1-2112-1-10-20-10111000000000000
χ2722222-1222-1-122-1-2-1-211-1-1-1-1-122-2-22-2-2-1-111111-2-1-111-222220011-1-1-1-1-1-12-1-1-2110-2010-111000000000000
χ2822222-1222-1-122-1-2-1-211-1-1-1-1-122-2-2-22-211111-1-1-2-1-111-222-2-20011-1-11111-2112-1-102010-1-1-1000000000000
χ2922222-1-2-22-1-122-12-1-2-1-1-1-1-111-2-222002−i3i3-1-11−i3i3-21111-2-220000-1-1-1-1−i3−i3i3i30−i3i30−i3i3000101−i3i3000000000000
χ3022222-1-2-22-1-122-12-1-2-1-1-1-1-111-2-222002i3−i3-1-11i3−i3-21111-2-220000-1-1-1-1i3i3−i3−i30i3−i30i3−i3000101i3−i3000000000000
χ3122222-1-2-22-1-122-12-1-2-1-1-1-1-111-2-2-2-2002−i3i3-1-11−i3i3-2111122-200001111i3i3−i3−i30−i3i30−i3i3000-10-1i3−i3000000000000
χ3222222-1-2-22-1-122-12-1-2-1-1-1-1-111-2-2-2-2002i3−i3-1-11i3−i3-2111122-200001111−i3−i3i3i30i3−i30i3−i3000-10-1−i3i3000000000000
χ3322222-1-2-22-1-122-1-2-1211-1-1-111-2-22200-2−i3i311-1i3−i3211-1-1-22-20000-1-111i3i3−i3−i30−i3i30i3−i300010-1−i3i3000000000000
χ3422222-1-2-22-1-122-1-2-1211-1-1-111-2-22200-2i3−i311-1−i3i3211-1-1-22-20000-1-111−i3−i3i3i30i3−i30−i3i300010-1i3−i3000000000000
χ3522222-1-2-22-1-122-1-2-1211-1-1-111-2-2-2-200-2−i3i311-1i3−i3211-1-12-22000011-1-1−i3−i3i3i30−i3i30i3−i3000-101i3−i3000000000000
χ3622222-1-2-22-1-122-1-2-1211-1-1-111-2-2-2-200-2i3−i311-1−i3i3211-1-12-22000011-1-1i3i3−i3−i30i3−i30−i3i3000-101−i3i3000000000000
χ372222-1222-122-1-122-1222-1-1-122-1-10022-122-1-1222-1-1-1-1-1000002200000000-1-1-1-1-1-120202000-1-1-1-10000-1-100
χ382222-1222-122-1-122-1222-1-1-122-1-10022-122-1-1222-1-1-1-1-100000-2-200000000-1-1-1-1-1-1-20-20-2000111100001100
χ392222-1222-122-1-122-1222-1-1-122-1-100-2-2-1-2-2-1-12-2-2-1-1-1-1-1000002200000000111111-20-202000-1-1-1-100001100
χ402222-1222-122-1-122-1222-1-1-122-1-100-2-2-1-2-2-1-12-2-2-1-1-1-1-100000-2-2000000001111112020-200011110000-1-100
χ412222-1222-122-1-12-2-1-2-2-2-1-1-122-1-1002-212211-2-2-21-1-111000002200000000-1-1-111120-20-2000-1-1110000-1100
χ422222-1222-122-1-12-2-1-2-2-2-1-1-122-1-1002-212211-2-2-21-1-11100000-2-200000000-1-1-1111-2020200011-1-100001-100
χ432222-1222-122-1-12-2-1-2-2-2-1-1-122-1-100-221-2-211-2221-1-111000002200000000111-1-1-1-2020-2000-1-11100001-100
χ442222-1222-122-1-12-2-1-2-2-2-1-1-122-1-100-221-2-211-2221-1-11100000-2-200000000111-1-1-120-20200011-1-10000-1100
χ452-2-22222-2-22-22-2-202000-22-22-22-200000000000002-2000002i−2i2i−2i00002i−2i2i−2i000000000000002i−2i002-2000000
χ462-2-22222-2-22-22-2-202000-22-22-22-200000000000002-2000002i−2i−2i2i00002i−2i2i−2i00000000000000−2i2i00-22000000
χ472-2-22222-2-22-22-2-202000-22-22-22-200000000000002-200000−2i2i2i−2i0000−2i2i−2i2i000000000000002i−2i00-22000000
χ482-2-22222-2-22-22-2-202000-22-22-22-200000000000002-200000−2i2i−2i2i0000−2i2i−2i2i00000000000000−2i2i002-2000000
χ494444-24-4-4-244-2-244-2-444-2-2-2-4-4220000-200-2-2-4002222200000000000000000000000000000000000000000
χ504444-24-4-4-244-2-24-4-24-4-4-2-2-2-4-422000020022400-222-2-200000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-20044-2-2-211-2-2-2-21111000000000000000-211-21100000000000000000000
χ524444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-200-4-4-22211-222-211110000000000000002-1-12-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-2-41-422111-2-2-2-2004-42-2-2-1-1222211-1-1000000000000000-2112-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-2-41-422111-2-2-2-200-44222-1-12-2-2211-1-10000000000000002-1-1-21100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-241-4-2-211122220000-2−2i32i3112−2i32i32-1-1-1-10000000000000000i3−i30i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-241-4-2-211122220000-22i3−2i31122i3−2i32-1-1-1-10000000000000000−i3i30−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2-41422111222200002−2i32i3-1-1-22i3−2i3-2-1-1110000000000000000i3−i30−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2-414221112222000022i3−2i3-1-1-2−2i32i3-2-1-1110000000000000000−i3i30i3−i300000000000000000000
χ5944-4-44400-4-44-44-404000-4-4400004i−4i00000000000000000000004i−4i00000000000000000000000000000000
χ6044-4-44400-4-44-44-404000-4-440000−4i4i0000000000000000000000−4i4i00000000000000000000000000000000
χ6144-4-44-200-42-2-4420-20−2i32i322-200004i−4i00000−2i32i3000000000000000−2i2i23−23000000000000000000000000000000
χ6244-4-44-200-42-2-4420-20−2i32i322-20000−4i4i00000−2i32i30000000000000002i−2i−2323000000000000000000000000000000
χ6344-4-44-200-42-2-4420-202i3−2i322-200004i−4i000002i3−2i3000000000000000−2i2i−2323000000000000000000000000000000
χ6444-4-44-200-42-2-4420-202i3−2i322-20000−4i4i000002i3−2i30000000000000002i−2i23−23000000000000000000000000000000
χ654-44-444004-4-4-4-44040004-4-400000000000000000000000000000000000000000000000000000000−2i22i20000
χ664-44-444004-4-4-4-44040004-4-4000000000000000000000000000000000000000000000000000000002i2−2i20000
χ674-4-4444-44-44-44-4-404000-44-4-44-440000000000000-440000000000000000000000000000000000000000000
χ684-4-444-24-4-4-224-420-20002-22-224-40000000000000-22000004i−4i000000−2i2i−2i2i00000000000000000000000000
χ694-4-444-24-4-4-224-420-20002-22-224-40000000000000-2200000−4i4i0000002i−2i2i−2i00000000000000000000000000
χ704-4-444-2-44-4-224-420-20002-222-2-4400000000000002-2000000000000023−23−232300000000000000000000000000
χ714-4-444-2-44-4-224-420-20002-222-2-4400000000000002-20000000000000−232323−2300000000000000000000000000
χ724-4-44-244-424-4-22-40-20002-224-4-220000000000000-2200000004i−4i0000000000000000000000−2i2i0000000000
χ734-4-44-244-424-4-22-40-20002-224-4-220000000000000-220000000−4i4i00000000000000000000002i−2i0000000000
χ744-4-44-24-4424-4-22-40-20002-22-442-200000000000002-2000000000000000000000000000000000−2i32i300000000
χ754-4-44-24-4424-4-22-40-20002-22-442-200000000000002-20000000000000000000000000000000002i3−2i300000000
χ7688-8-8-48004-884-4-80-400044-400000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4-40044-44-44020−4i34i3-2-22000000000002i3−2i30000000000000000000000000000000000000000000000000
χ7888-8-8-4-40044-44-440204i3−4i3-2-2200000000000−2i32i30000000000000000000000000000000000000000000000000
χ798-88-88-400844-8-8-40-4000-44400000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4800-4-8-84480-4000-44400000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-400-44444-4020002-2-200000000000000000006i−6i00000000000000000000000000000000000000000
χ828-88-8-4-400-44444-4020002-2-20000000000000000000−6i6i00000000000000000000000000000000000000000
χ838-8-88-4-48-84-44-44402000-22-2-44-4400000000000002-20000000000000000000000000000000000000000000
χ848-8-88-4-4-884-44-44402000-22-24-44-40000000000000-220000000000000000000000000000000000000000000

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