Finite Group Databasebeta

← Group #11889140

Character table — Group #11889140

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444444668888888888888881212121212121212121212121212121616161616162424242424242424242424243636363648487272
order1222334466666623466666121212122224666661212121212121212224446666668812126661212122446681212242424244488121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1111111111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11-1-1111-1-111111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-11
χ41111111111111111111111111111-1-11-1-1111-1-111111-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-111-1-1-1-111-1-1111-1
χ511111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-111-1-11-1-11111-1-1-1-111-1-1
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
χ711111111111111111111111111-1-1-1-11-1-1111-1-11111111-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1111-1-1111111-1-1-1-11-1
χ811111111111111111111111111-1-1-1-11-1-1111-1-11111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-11111-11
χ911111111111111-11-1-1-11111111111-1-111-1-1-1-1-1-111-1-1111-1-111111111-1-1111-1-1-1-1-11-1-1-1-1111-1-111111-1-1-1
χ1011111111111111-11-1-1-11111111111-1-111-1-1-1-1-1-111-1-1111-1-1111111-1-1-1-1111-1-1-1-11-1-1-11-11-1-111-1-1-1-1-1111
χ1111111111111111-11-1-1-1111111111-11-1-1-1-1-1-111-111-1-1-1-11-1-111-1-1-1-111-1-1-1-1-111111-111-1-1111-1-1-1-111-111-1
χ1211111111111111-11-1-1-1111111111-11-1-1-1-1-1-111-111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-11111-11111-11-1-11111-1-11-1-11
χ1311111111111111-11-1-1-11111111-1-11-1-111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-11111111-1-1-11-1111-11-111-1-1-1-1-1-11-111
χ1411111111111111-11-1-1-11111111-1-11-1-111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-111-11111-1-1-1111111-11-1-1
χ1511111111111111-11-1-1-11111111-1-1-11-1-1-1-1-1-111-111-1-111-111-1-111111111-1-1-1111-11-1-1-1-11-111-1-111-1-1-11-11
χ1611111111111111-11-1-1-11111111-1-1-11-1-1-1-1-1-111-111-1-111-111-1-11111-1-111-1-1-1111-1-11-1-111-1-1-111-1-1111-11-1
χ17222222-2-222222222-222222-2-2-2-2220020022-200-2-2-2-2-200-2-222200000022000000000000-2-2000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-20020022-200-2-2-2-2-20022-2-2-2000000-2-200000000000022000000000000
χ19222222-2-2222222-222-2-2222-2-2-2-22200-200-2-22002-2-22200-22-222000000-2-20000000000002-2000000000000
χ20222222-2-2222222-222-2-2222-2-2-2-2-2-200-200-2-22002-2-222002-22-2-200000022000000000000-22000000000000
χ2122222-1222-1-1-1222-12-1-1-1-1-1-1-12222222-1-1-1-1-1-1-12-1-1-1-122222-1-1-1-1-1-100-1-12-1-12-1-1200-1-10-1-1000000000000
χ2222222-1222-1-1-1222-12-1-1-1-1-1-1-12222-2-2211-1-1-1112-1-1-1-1-2-2222-1-1111100-1-1-211-211-200110-1-1000000000000
χ2322222-1222-1-1-1222-12-1-1-1-1-1-1-122-2-2222-1-1-1-1-1-1-12-1-1-1-1-2-2-2-2-211111100112-1-12-1-1-20011011000000000000
χ2422222-1222-1-1-1222-12-1-1-1-1-1-1-122-2-2-2-2211-1-1-1112-1-1-1-122-2-2-211-1-1-1-10011-211-211200-1-1011000000000000
χ2522222-1222-1-1-122-2-1-211-1-1-1-1-122222-2-2-1-111111-2-1-111222-2-2-1-1-1-1-1-100112-1-1-211-2001101-1000000000000
χ2622222-1222-1-1-122-2-1-211-1-1-1-1-12222-22-211111-1-1-2-1-111-2-22-2-2-1-111110011-2112-1-1200-1-101-1000000000000
χ2722222-1222-1-1-122-2-1-211-1-1-1-1-122-2-22-2-2-1-111111-2-1-111-2-2-22211111100-1-12-1-1-211200-1-10-11000000000000
χ2822222-1222-1-1-122-2-1-211-1-1-1-1-122-2-2-22-211111-1-1-2-1-11122-22211-1-1-1-100-1-1-2112-1-1-200110-11000000000000
χ2922222-1-2-22-1-1-1222-1-2-1-1-1-1-111-2-222002−i3i3-1-11−i3i3-2111100-2-22-1-1−i3−i3i3i300-1-10−i3i30−i3i3000−i3i3011000000000000
χ3022222-1-2-22-1-1-1222-1-2-1-1-1-1-111-2-222002i3−i3-1-11i3−i3-2111100-2-22-1-1i3i3−i3−i300-1-10i3−i30i3−i3000i3−i3011000000000000
χ3122222-1-2-22-1-1-1222-1-2-1-1-1-1-111-2-2-2-2002−i3i3-1-11−i3i3-211110022-211i3i3−i3−i300110−i3i30−i3i3000i3−i30-1-1000000000000
χ3222222-1-2-22-1-1-1222-1-2-1-1-1-1-111-2-2-2-2002i3−i3-1-11i3−i3-211110022-211−i3−i3i3i300110i3−i30i3−i3000−i3i30-1-1000000000000
χ3322222-1-2-22-1-1-122-2-1211-1-1-111-2-22200-2−i3i311-1i3−i3211-1-100-22-2-1-1−i3−i3i3i300110−i3i30i3−i3000i3−i30-11000000000000
χ3422222-1-2-22-1-1-122-2-1211-1-1-111-2-22200-2i3−i311-1−i3i3211-1-100-22-2-1-1i3i3−i3−i300110i3−i30−i3i3000−i3i30-11000000000000
χ3522222-1-2-22-1-1-122-2-1211-1-1-111-2-2-2-200-2−i3i311-1i3−i3211-1-1002-2211i3i3−i3−i300-1-10−i3i30i3−i3000−i3i301-1000000000000
χ3622222-1-2-22-1-1-122-2-1211-1-1-111-2-2-2-200-2i3−i311-1−i3i3211-1-1002-2211−i3−i3i3i300-1-10i3−i30−i3i3000i3−i301-1000000000000
χ372222-1222-1222-1-12-1222-1-1-122-1-10022-122-1-1222-1-1-1-1-1000000000002200-1-1-1-1-1-102200200-1-1-1-10000-1-100
χ382222-1222-1222-1-12-1222-1-1-122-1-10022-122-1-1222-1-1-1-1-100000000000-2-200-1-1-1-1-1-10-2-200-200111100001100
χ392222-1222-1222-1-12-1222-1-1-122-1-100-2-2-1-2-2-1-12-2-2-1-1-1-1-10000000000022001111110-2-200200-1-1-1-100001100
χ402222-1222-1222-1-12-1222-1-1-122-1-100-2-2-1-2-2-1-12-2-2-1-1-1-1-100000000000-2-20011111102200-20011110000-1-100
χ412222-1222-1222-1-1-2-1-2-2-2-1-1-122-1-1002-212211-2-2-21-1-111000000000002200-1-1-11110-2200-200-1-1110000-1100
χ422222-1222-1222-1-1-2-1-2-2-2-1-1-122-1-1002-212211-2-2-21-1-11100000000000-2-200-1-1-111102-20020011-1-100001-100
χ432222-1222-1222-1-1-2-1-2-2-2-1-1-122-1-100-221-2-211-2221-1-111000000000002200111-1-1-102-200-200-1-11100001-100
χ442222-1222-1222-1-1-2-1-2-2-2-1-1-122-1-100-221-2-211-2221-1-11100000000000-2-200111-1-1-10-220020011-1-10000-1100
χ4522-2-2222-2-2-22-22-202000-22-22-22-200000000000002-2002-2000002-22-22i−2i00000000000000002i−2i002i−2i000000
χ4622-2-2222-2-2-22-22-202000-22-22-22-200000000000002-2002-2000002-22-2−2i2i0000000000000000−2i2i00−2i2i000000
χ4722-2-2222-2-2-22-22-202000-22-22-22-200000000000002-200-2200000-22-222i−2i00000000000000002i−2i00−2i2i000000
χ4822-2-2222-2-2-22-22-202000-22-22-22-200000000000002-200-2200000-22-22−2i2i0000000000000000−2i2i002i−2i000000
χ494444-24-4-4-2444-2-24-2-444-2-2-2-4-4220000-200-2-2-4002222200000000000000000000000000000000000000000
χ504444-24-4-4-2444-2-2-4-24-4-4-2-2-2-4-422000020022400-222-2-200000000000000000000000000000000000000000
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
χ5944-4-444-44-4-44-44-404000-44-4-44-440000000000000-440000000000000000000000000000000000000000000
χ6044-4-44-24-4-42-224-40-20002-22-224-40000000000000-22004-400000-22-22000000000000000000000000000000
χ6144-4-44-24-4-42-224-40-20002-22-224-40000000000000-2200-44000002-22-2000000000000000000000000000000
χ6244-4-44-2-44-42-224-40-20002-222-2-4400000000000002-2000000000−2i32i32i3−2i3000000000000000000000000000000
χ6344-4-44-2-44-42-224-40-20002-222-2-4400000000000002-20000000002i3−2i3−2i32i3000000000000000000000000000000
χ6444-4-4-244-42-44-4-220-20002-224-4-220000000000000-2200000000000004i−4i0000000000000000−2i2i0000000000
χ6544-4-4-244-42-44-4-220-20002-224-4-220000000000000-220000000000000−4i4i00000000000000002i−2i0000000000
χ6644-4-4-24-442-44-4-220-20002-22-442-200000000000002-2000000000000000000000000000000000−2i32i300000000
χ6744-4-4-24-442-44-4-220-20002-22-442-200000000000002-20000000000000000000000000000000002i3−2i300000000
χ684-44-4440044-4-4-4-4040004-4-400000000000000000000000000000000000000000000000000000000−2i22i20000
χ694-44-4440044-4-4-4-4040004-4-4000000000000000000000000000000000000000000000000000000002i2−2i20000
χ704-4-444400-4-4-44-4404000-4-4400004-4000000000000000000004-40000000000000000000000000000000000
χ714-4-444400-4-4-44-4404000-4-440000-4400000000000000000000-440000000000000000000000000000000000
χ724-4-444-200-422-2-440-20−2i32i322-200004-400000−2i32i30000000000000-22000000−2i32i300000000000000000000000000
χ734-4-444-200-422-2-440-20−2i32i322-20000-4400000−2i32i300000000000002-20000002i3−2i300000000000000000000000000
χ744-4-444-200-422-2-440-202i3−2i322-200004-4000002i3−2i30000000000000-220000002i3−2i300000000000000000000000000
χ754-4-444-200-422-2-440-202i3−2i322-20000-44000002i3−2i300000000000002-2000000−2i32i300000000000000000000000000
χ7688-8-8-4-48-844-44-4402000-22-2-44-4400000000000002-20000000000000000000000000000000000000000000
χ7788-8-8-4-4-8844-44-4402000-22-24-44-40000000000000-220000000000000000000000000000000000000000000
χ788-88-88-4008-444-8-80-4000-44400000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4800-48-8-8440-4000-44400000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-400-4-44444020002-2-200000000000000000006i−6i00000000000000000000000000000000000000000
χ818-88-8-4-400-4-44444020002-2-20000000000000000000−6i6i00000000000000000000000000000000000000000
χ828-8-88-48004-8-884-40-400044-400000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400444-44-4020−4i34i3-2-22000000000002i3−2i30000000000000000000000000000000000000000000000000
χ848-8-88-4-400444-44-40204i3−4i3-2-2200000000000−2i32i30000000000000000000000000000000000000000000000000

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