Finite Group Databasebeta

← Group #11866296

Character table — Group #11866296

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order122233446666663446661212121222444812121212121212122424242424242424224444668812121212121212121244668121212121224242424224488122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-111-111-1-1-1-111111111-1-1-11-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-11111-111-1-1-1-111-1111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-111-11111-1-111-111-1-1-11-1-1-1-111-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111111-1-11-1-11111-1-111111-1111-11-1-1-1-1-1-111-1-1-1-1-1-11-1
χ6111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ7111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-111-1-1-111-1-11-11111-1-11111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111-1-11-1-1-11111111111-1-11-1
χ9111111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111-1-1111-111-1-1-1-111-1-11111-1-111-1-1
χ10111111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111-1-111111-1-11111-1-1-11-1-111-1-1-1-1-1-111-1-111
χ11111111111111111-1-111111111111-11-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-111
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1
χ13111111111111111-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-111-1-1-1-11-1-111-1-1111-111-1-11111-1-111-1-1-11
χ14111111111111111-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-1-111-11-1-11111-1-111-1-111-1-1111-1
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111-1
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-11111111111-1-11111-1-11111-1-1-1-1-1-1-11-1-1-1-111111-1-11111-1-1-1-1-11
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000200-2220022-2-20000000000-20000000000-220000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000-20022200-2-2-2-20000000000200000000002-20000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000200-2-2-20022220000000000-200000000002-20000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000-2002-2-200-2-222000000000020000000000-220000
χ2122222-1222-1-12-12-122-1-1-1-12-1200002222-1-122-1-122-1-1-1-1-1-12220020022-1-100-1-1-1-1-102-1-10-1000000-1-1000000-10
χ2222222-1222-1-12-12-122-1-1-1-12-1200002222-1-122-1-122-1-1-1-1-1-1-2-2-200-200-2-21100-1-1-1-1-10-211010000001100000010
χ2322222-1222-1-12-12-122-1-1-1-12-120000-2-222-1-1-2-2-1-1-2-211111122200200-2-2-1-1001-1-1110-2-1-10-10000001100000010
χ2422222-1222-1-12-12-122-1-1-1-12-120000-2-222-1-1-2-2-1-1-2-2111111-2-2-200-2002211001-1-111021101000000-1-1000000-10
χ2522222-1222-1-12-12-1-2-2-1-1-1-12-1200002-2-2-21122-1-1-2-211111122-200-200221100-111-1-10-2-1-101000000-1-100000010
χ2622222-1222-1-12-12-1-2-2-1-1-1-12-1200002-2-2-21122-1-1-2-2111111-2-2200200-2-2-1-100-111-1-102110-100000011000000-10
χ2722222-1222-1-12-12-1-2-2-1-1-1-12-120000-22-2-211-2-2-1-122-1-1-1-1-1-122-200-200-2-211001111102-1-10100000011000000-10
χ2822222-1222-1-12-12-1-2-2-1-1-1-12-120000-22-2-211-2-2-1-122-1-1-1-1-1-1-2-220020022-1-100111110-2110-1000000-1-100000010
χ292222-1222-122-12-1-122-1-1-12-12-1222222-1-122-1-1-1-1-1-122-1-1-1-1000220-1-10000-1-12-1-1-1-1200020-1-1-1-1-1-10000000000
χ302222-1222-122-12-1-122-1-1-12-12-12222-2-2-1-12211-1-111-2-21111000220-1-10000-1-1-2-1-111-2000-20-1-111110000000000
χ312222-1222-122-12-1-122-1-1-12-12-1-2-2-2-222-1-122-1-1-1-1-1-122-1-1-1-1000-2-20110000112-1-1-1-1-2000-201111110000000000
χ322222-1222-122-12-1-122-1-1-12-12-1-2-2-2-2-2-2-1-12211-1-111-2-21111000-2-2011000011-2-1-11120002011-1-1-1-10000000000
χ332222-1222-122-12-1-1-2-2-1-1-12-12-122222-211-2-2-1-1-1-111-2-21111000-2-20-1-10000-1-1211-1-12000-2011-1-1110000000000
χ342222-1222-122-12-1-1-2-2-1-1-12-12-12222-2211-2-211-1-1-1-122-1-1-1-1000-2-20-1-10000-1-1-21111-2000201111-1-10000000000
χ352222-1222-122-12-1-1-2-2-1-1-12-12-1-2-2-2-22-211-2-2-1-1-1-111-2-2111100022011000011211-1-1-200020-1-111-1-10000000000
χ362222-1222-122-12-1-1-2-2-1-1-12-12-1-2-2-2-2-2211-2-211-1-1-1-122-1-1-1-100022011000011-211112000-20-1-1-1-1110000000000
χ372-22-2222-2-2-2-2-22222i−2i-2-2222-2-22-22-2002i−2i2i−2i002-2000000000002i−2i02-200002-202i−2i000000002i−2i00000000000000
χ382-22-2222-2-2-2-2-22222i−2i-2-2222-2-2-22-22002i−2i2i−2i002-200000000000−2i2i0-220000-2202i−2i00000000−2i2i00000000000000
χ392-22-2222-2-2-2-2-2222−2i2i-2-2222-2-22-22-200−2i2i−2i2i002-200000000000−2i2i02-200002-20−2i2i00000000−2i2i00000000000000
χ402-22-2222-2-2-2-2-2222−2i2i-2-2222-2-2-22-2200−2i2i−2i2i002-2000000000002i−2i0-220000-220−2i2i000000002i−2i00000000000000
χ412-22-222-22-2-2-2-222200-2-22-2-2222-2-2200000000-22000000002-200002-20000-2200000002-200000000002-2000000
χ422-22-222-22-2-2-2-222200-2-22-2-2222-2-2200000000-2200000000-2200002-20000-220000000-220000000000-22000000
χ432-22-222-22-2-2-2-222200-2-22-2-222-222-200000000-22000000002-20000-2200002-200000002-20000000000-22000000
χ442-22-222-22-2-2-2-222200-2-22-2-222-222-200000000-2200000000-220000-2200002-20000000-2200000000002-2000000
χ452-22-2-122-21-2-212-1-12i−2i11-12-1-212-22-200−ii2i−2i−i3i3-113−30033−3−30002i−2i0-110000-110−ii−i3i3000000−ii−i3i33−30000000000
χ462-22-2-122-21-2-212-1-12i−2i11-12-1-212-22-200−ii2i−2ii3−i3-11−3300−3−3330002i−2i0-110000-110−iii3−i3000000−iii3−i3−330000000000
χ472-22-2-122-21-2-212-1-12i−2i11-12-1-21-22-2200−ii2i−2i−i3i3-113−30033−3−3000−2i2i01-100001-10−ii−i3i3000000i−ii3−i3−330000000000
χ482-22-2-122-21-2-212-1-12i−2i11-12-1-21-22-2200−ii2i−2ii3−i3-11−3300−3−333000−2i2i01-100001-10−iii3−i3000000i−i−i3i33−30000000000
χ492-22-2-122-21-2-212-1-1−2i2i11-12-1-212-22-200i−i−2i2i−i3i3-11−3300−3−333000−2i2i0-110000-110i−i−i3i3000000i−i−i3i3−330000000000
χ502-22-2-122-21-2-212-1-1−2i2i11-12-1-212-22-200i−i−2i2ii3−i3-113−30033−3−3000−2i2i0-110000-110i−ii3−i3000000i−ii3−i33−30000000000
χ512-22-2-122-21-2-212-1-1−2i2i11-12-1-21-22-2200i−i−2i2i−i3i3-11−3300−3−3330002i−2i01-100001-10i−i−i3i3000000−iii3−i33−30000000000
χ522-22-2-122-21-2-212-1-1−2i2i11-12-1-21-22-2200i−i−2i2ii3−i3-113−30033−3−30002i−2i01-100001-10i−ii3−i3000000−ii−i3i3−330000000000
χ5344444-2-4-44-2-24-24-200-2-2-22-42-4000000000000220000000000400-40000-2-200000000000020000000000000000
χ5444444-2-4-44-2-24-24-200-2-2-22-42-4000000000000220000000000-4004000022000000000000-20000000000000000
χ554444-24-4-4-244-24-2-200-2-2-2-42-4244-4-4000000002200000000000000-2-2000022000000000000000000000000000
χ564444-24-4-4-244-24-2-200-2-2-2-42-42-4-444000000002200000000000000220000-2-2000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-4-2-2-2-222112222-1-1-1-100000000000000211-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-42222-2-2112222-1-1-1-100000000000000-2-1-1110000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4422222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-444004-44-4-4-4400-44-40000000000000000000000000000000000−2i22i2000000000000000000000−2i22i200000000
χ6244-4-444004-44-4-4-4400-44-400000000000000000000000000000000002i2−2i20000000000000000000002i2−2i200000000
χ6344-4-44-20042-2-42-4-2002-22000000000000000000006−66−66−600000000−2i22i2−2i32i30000000000000000000i2−i200000000
χ6444-4-44-20042-2-42-4-2002-22000000000000000000006−66−66−6000000002i2−2i22i3−2i30000000000000000000−i2i200000000
χ6544-4-44-20042-2-42-4-2002-2200000000000000000000−66−66−6600000000−2i22i22i3−2i30000000000000000000i2−i200000000
χ6644-4-44-20042-2-42-4-2002-2200000000000000000000−66−66−66000000002i2−2i2−2i32i30000000000000000000−i2i200000000
χ674-44-44-24-4-422-4-24-24i−4i22-2-242-40000004i−4i−2i2i00-2200000000000000000000000−2i2i000000000000000000000000
χ684-44-44-24-4-422-4-24-2−4i4i22-2-242-4000000−4i4i2i−2i00-22000000000000000000000002i−2i000000000000000000000000
χ694-44-44-2-44-422-4-24-20022-22-4-240000000000002-2000000004-40000000000000000000-22000000000000000000
χ704-44-44-2-44-422-4-24-20022-22-4-240000000000002-200000000-4400000000000000000002-2000000000000000000
χ714-44-4-24-442-4-424-2-20022-2-424-24-4-44000000002-200000000000000-2200002-2000000000000000000000000000
χ724-44-4-24-442-4-424-2-20022-2-424-2-444-4000000002-2000000000000002-20000-22000000000000000000000000000
χ734-44-4-2-24-42222-2-214i−4i-1-11-2-222000000−2i2i−2i2i−2i32i31-123−2300−3−333000000000000000i−ii3−i30000000000000000000000
χ744-44-4-2-24-42222-2-214i−4i-1-11-2-222000000−2i2i−2i2i2i3−2i31-1−23230033−3−3000000000000000i−i−i3i30000000000000000000000
χ754-44-4-2-24-42222-2-21−4i4i-1-11-2-2220000002i−2i2i−2i−2i32i31-1−23230033−3−3000000000000000−iii3−i30000000000000000000000
χ764-44-4-2-24-42222-2-21−4i4i-1-11-2-2220000002i−2i2i−2i2i3−2i31-123−2300−3−333000000000000000−ii−i3i30000000000000000000000
χ774-4-444400-44-44-4-44004-4-4000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ784-4-444400-44-44-4-44004-4-40000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4800-4-884-84-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-44-4444200-22-20000000000000000000026−26−66−6600000000000000000000000000000000000000000
χ8288-8-8-4-400-44-4444200-22-200000000000000000000−26266−66−600000000000000000000000000000000000000000
χ838-88-8-4-4-884444-4-4200-2-2244-4-4000000000000-220000000000000000000000000000000000000000000000000
χ848-8-888-400-8-4484-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-480048-8-4-84-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-44-4442002-2-2000000000000000000000032−32−323200000000000000000000000000000000000000000
χ878-8-88-4-4004-44-4442002-2-20000000000000000000000−323232−3200000000000000000000000000000000000000000

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