Finite Group Databasebeta

← Group #11864590

Character table — Group #11864590

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121212161616161616242424242424242424242424242424242436363636363672
order12223344666666234666661212121222442466666121212121212121222222466881212666121212446666681212121212242424242244888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1111-1-111111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-11-1-1111-1-11111111111111-1-111-1-1-1-1-1-1-1-111111-1-1-11-1-1-1-1-1-11111-1-1-1
χ4111111111111111111111111111111-1-11-1-1111-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11-1-11-1-11111-1-1-1-1111
χ511111111111111111111111111-1-1-1-1111111111111111-11111-1-1-111-1-1111111-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ711111111111111111111111111-1-1-1-1-1-11-1-1111-1-111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-111-111-1-1-1-1-1-1-1-1111
χ811111111111111111111111111-1-1-1-1-1-11-1-1111-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1111-11111111111-1-1-1
χ911111111111111-11-1-1-1111111111111-1-111-1-1-1-1-1-111-1-1-111-1-1-1111111111-1-1-1-11-111-1-1-1-1-1-11111-1-1-1-11111-1
χ1011111111111111-11-1-1-1111111111111-1-111-1-1-1-1-1-111-1-1-1-1-111-111-1-111111-1-1-1-11-1-1-1111-1-1-111-1-11111-1-1-1-11
χ1111111111111111-11-1-1-111111111111-11-1-1-1-1-1-111-111-1-1-111-1-1-111-1-111-1-1-11111-1-111-1-1111-1-1-1-1-111-1-111-1-11
χ1211111111111111-11-1-1-111111111111-11-1-1-1-1-1-111-111-1-1-1-1-111-1111111-1-1-11111-1-1-1-111-111-1-1-111-1-111-1-111-1
χ1311111111111111-11-1-1-11111111-1-1-1-11-1-111-1-1-1-1-1-111-1-1111-1-11-1-111-1-1111-1-1-11-1111-1-1-1111-1-111-1-111-1-1-1-11
χ1411111111111111-11-1-1-11111111-1-1-1-11-1-111-1-1-1-1-1-111-1-11-1-1111-1-1-1-1-1-1111-1-1-11-11-1-1111111-1-1-1-111-1-11111-1
χ1511111111111111-11-1-1-11111111-1-1-1-1-11-1-1-1-1-1-111-111-1-1111-1-11-1-1-1-1-1-1-1-1-1111-11111-1-11-1-1111-1-11111-1-111-1
χ1611111111111111-11-1-1-11111111-1-1-1-1-11-1-1-1-1-1-111-111-1-11-1-1111-1-111-1-1-1-1-1111-111-1-111-1-1-111111-1-1-1-111-1-11
χ17222222-2-222222222-222222-2-2-2-222-2-20020022-200-2-2-2-2-2-2000022200-2-200000000-2000000020000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-2220020022-200-2-2-2-2-220000-2-2-200220000000020000000-20000000000000
χ19222222-2-2222222-222-2-2222-2-2-2-222-2-200-200-2-22002-2-22220000-22200-2-20000000020000000-20000000000000
χ20222222-2-2222222-222-2-2222-2-2-2-2-2-22200-200-2-22002-2-222-200002-2-2002200000000-2000000020000000000000
χ2122222-1222-1-1-1222-12-1-1-1-1-122-1-1000022222-1-1-1222-1-1-1-1022220002200-1-1-1-1-1-1000-1-1-1-1200000-1-1-1-10000000
χ2222222-1222-1-1-1222-12-1-1-1-1-122-1-1000022222-1-1-1222-1-1-1-10-2-2-2-2000-2-200-1-1-1-1-1-10001111-20000011110000000
χ2322222-1222-1-1-1222-12-1-1-1-1-122-1-10000-2-22-2-2-1-1-1-2-22-1-1-1-102222000-2-200111111000-1-1-1-1-20000011110000000
χ2422222-1222-1-1-1222-12-1-1-1-1-122-1-10000-2-22-2-2-1-1-1-2-22-1-1-1-10-2-2-2-200022001111110001111200000-1-1-1-10000000
χ2522222-1222-1-1-122-2-1-211-1-1-122-1-100002-2-222111-2-2-2-1-111022-2-20002200-1-1-1111000-1-111-200000-1-1110000000
χ2622222-1222-1-1-122-2-1-211-1-1-122-1-100002-2-222111-2-2-2-1-1110-2-222000-2-200-1-1-111100011-1-120000011-1-10000000
χ2722222-1222-1-1-122-2-1-211-1-1-122-1-10000-22-2-2-211122-2-1-111022-2-2000-2-200111-1-1-1000-1-11120000011-1-10000000
χ2822222-1222-1-1-122-2-1-211-1-1-122-1-10000-22-2-2-211122-2-1-1110-2-2220002200111-1-1-100011-1-1-200000-1-1110000000
χ292222-1222-1222-1-12-1222-1-1-1-1-122222222-1-1-1-1-12-1-1-1-1-1-1-1200002-1-100-1-12-1-12-1-122-100000-1-1-1-1-100000000000
χ302222-1222-1222-1-12-1222-1-1-1-1-1222222-2-2-111-1-1211-1-1-1-1-1200002-1-100-1-1-211-211-2-2-10000011-11100000000000
χ312222-1222-1222-1-12-1222-1-1-1-1-122-2-2-2-222-1-1-1-1-12-1-1-1-1-1-1-1-20000-21100112-1-12-1-1-2-21000001111100000000000
χ322222-1222-1222-1-12-1222-1-1-1-1-122-2-2-2-2-2-2-111-1-1211-1-1-1-1-1-20000-2110011-211-21122100000-1-11-1-100000000000
χ332222-1222-1222-1-1-2-1-2-2-2-1-1-1-1-12222222-21-1-111-2111-1-111-20000-2-1-100-1-12-1-1-211-22100000111-1-100000000000
χ342222-1222-1222-1-1-2-1-2-2-2-1-1-1-1-1222222-2211111-2-1-11-1-111-20000-2-1-100-1-1-2112-1-12-2100000-1-111100000000000
χ352222-1222-1222-1-1-2-1-2-2-2-1-1-1-1-122-2-2-2-22-21-1-111-2111-1-1112000021100112-1-1-2112-2-100000-1-1-11100000000000
χ362222-1222-1222-1-1-2-1-2-2-2-1-1-1-1-122-2-2-2-2-2211111-2-1-11-1-111200002110011-2112-1-1-22-10000011-1-1-100000000000
χ372222-12-2-2-1222-1-12-1-222-1-1-111-2-222-2-200-1−i3i3-1-1-2−i3i311111-200002-1-100110−i3i30−i3i300100000−i3i3-1−i3i300000000000
χ382222-12-2-2-1222-1-12-1-222-1-1-111-2-222-2-200-1i3−i3-1-1-2i3−i311111-200002-1-100110i3−i30i3−i300100000i3−i3-1i3−i300000000000
χ392222-12-2-2-1222-1-12-1-222-1-1-111-2-2-2-22200-1−i3i3-1-1-2−i3i31111120000-21100-1-10−i3i30−i3i300-100000i3−i31i3−i300000000000
χ402222-12-2-2-1222-1-12-1-222-1-1-111-2-2-2-22200-1i3−i3-1-1-2i3−i31111120000-21100-1-10i3−i30i3−i300-100000−i3i31−i3i300000000000
χ412222-12-2-2-1222-1-1-2-12-2-2-1-1-111-2-222-2-2001−i3i3112i3−i3-111-1-120000-2-1-100110−i3i30i3−i300-100000i3−i31−i3i300000000000
χ422222-12-2-2-1222-1-1-2-12-2-2-1-1-111-2-222-2-2001i3−i3112−i3i3-111-1-120000-2-1-100110i3−i30−i3i300-100000−i3i31i3−i300000000000
χ432222-12-2-2-1222-1-1-2-12-2-2-1-1-111-2-2-2-222001−i3i3112i3−i3-111-1-1-2000021100-1-10−i3i30i3−i300100000−i3i3-1i3−i300000000000
χ442222-12-2-2-1222-1-1-2-12-2-2-1-1-111-2-2-2-222001i3−i3112−i3i3-111-1-1-2000021100-1-10i3−i30−i3i300100000i3−i3-1−i3i300000000000
χ452-2-22222-2-2-22-2-2202000-22-22-22-22-22-2000000000002-2000002-202-2002-2000000000002-200000000002-200000
χ462-2-22222-2-2-22-2-2202000-22-22-22-22-22-2000000000002-200000-2202-2002-200000000000-220000000000-2200000
χ472-2-22222-2-2-22-2-2202000-22-22-22-2-22-22000000000002-2000002-20-2200-22000000000002-20000000000-2200000
χ482-2-22222-2-2-22-2-2202000-22-22-22-2-22-22000000000002-200000-220-2200-2200000000000-2200000000002-200000
χ492-2-2222-22-2-22-2-2202000-22-2-22-222-2-2200000000000-220002-20002-200-220000000002-2000000000000002-2000
χ502-2-2222-22-2-22-2-2202000-22-2-22-222-2-2200000000000-22000-220002-200-22000000000-2200000000000000-22000
χ512-2-2222-22-2-22-2-2202000-22-2-22-22-222-200000000000-220002-2000-22002-20000000002-200000000000000-22000
χ522-2-2222-22-2-22-2-2202000-22-2-22-22-222-200000000000-22000-22000-22002-2000000000-22000000000000002-2000
χ5344444-2-4-44-2-2-2444-2-4-2-2-2-2-2-4-422000000400-2-2200-42222000000000000000000000000000000000000000000
χ5444444-2-4-44-2-2-244-4-2422-2-2-2-4-422000000-40022-200422-2-2000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2000044-2-2-211-2-2-2-21111000000000000-211-211000000000000000000000000
χ564444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-20000-4-4-22211-222-211110000000000002-1-12-1-1000000000000000000000000
χ574444-2-244-2-2-2-2-2-2-41-422111-2-2-2-200004-42-2-2-1-1222211-1-1000000000000-2112-1-1000000000000000000000000
χ584444-2-244-2-2-2-2-2-2-41-422111-2-2-2-20000-44222-1-12-2-2211-1-10000000000002-1-1-211000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-241-4-2-21112222000000-2−2i32i3112−2i32i32-1-1-1-10000000000000i3−i30i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-241-4-2-21112222000000-22i3−2i31122i3−2i32-1-1-1-10000000000000−i3i30−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-2-4142211122220000002−2i32i3-1-1-22i3−2i3-2-1-1110000000000000i3−i30−i3i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-2-41422111222200000022i3−2i3-1-1-2−2i32i3-2-1-1110000000000000−i3i30i3−i3000000000000000000000000
χ6344-4-4440044-4-4-4-4040004-4-400000000000000000000000000000000000000000000000000000000000000−2i22i20
χ6444-4-4440044-4-4-4-4040004-4-4000000000000000000000000000000000000000000000000000000000000002i2−2i20
χ654-44-44400-4-4-444-404000-4-44000000000000000000000000000000022−2200000000000000000000022−22000000000
χ664-44-44400-4-4-444-404000-4-440000000000000000000000000000000−2222000000000000000000000−2222000000000
χ674-44-44-200-422-24-40-20−2i32i322-20000000000000−2i32i3000000000000000022−22000000000000000000000−22i6−i60000000
χ684-44-44-200-422-24-40-20−2i32i322-20000000000000−2i32i30000000000000000−22220000000000000000000002−2−i6i60000000
χ694-44-44-200-422-24-40-202i3−2i322-200000000000002i3−2i3000000000000000022−22000000000000000000000−22−i6i60000000
χ704-44-44-200-422-24-40-202i3−2i322-200000000000002i3−2i30000000000000000−22220000000000000000000002−2i6−i60000000
χ714-4-444-24-4-42-22-440-20002-224-4-22000000000000000-22000004-4000000000000000000-2200000000000000000
χ724-4-444-24-4-42-22-440-20002-224-4-22000000000000000-2200000-440000000000000000002-200000000000000000
χ734-4-444-2-44-42-22-440-20002-22-442-20000000000000002-20004-4000000000000000000-220000000000000000000
χ744-4-444-2-44-42-22-440-20002-22-442-20000000000000002-2000-440000000000000000002-20000000000000000000
χ754-4-44-244-42-44-42-20-20002-22-224-44-44-400000000000-2200000000-2200-22000000000000000000000000000000
χ764-4-44-244-42-44-42-20-20002-22-224-4-44-4400000000000-22000000002-2002-2000000000000000000000000000000
χ774-4-44-24-442-44-42-20-20002-222-2-444-4-44000000000002-200000000-22002-2000000000000000000000000000000
χ784-4-44-24-442-44-42-20-20002-222-2-44-444-4000000000002-2000000002-200-22000000000000000000000000000000
χ7988-8-88-4008-444-8-80-4000-44400000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4800-48-8-8440-4000-44400000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-4-44444020002-2-20000000000000000000006i−6i000000000000000000000000000000000000000000
χ8288-8-8-4-400-4-44444020002-2-2000000000000000000000−6i6i000000000000000000000000000000000000000000
χ838-88-8-48004-8-88-440-400044-400000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-400444-4-44020−4i34i3-2-2200000000000002i3−2i300000000000000000000000000000000000000000000000000
χ858-88-8-4-400444-4-440204i3−4i3-2-220000000000000−2i32i300000000000000000000000000000000000000000000000000
χ868-8-88-4-48-844-444-402000-22-2-44-440000000000000002-200000000000000000000000000000000000000000000
χ878-8-88-4-4-8844-444-402000-22-24-44-4000000000000000-2200000000000000000000000000000000000000000000

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