Finite Group Databasebeta

← Group #11866221

Character table — Group #11866221

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order1222334466666634466612121212224426681212121212122424242424242424224444668812121212666121222666681212122424242422448864
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-111-111-1-111-1-1111111-111-1-11-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1-111-11-1-1-1-1-1-111-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111111-1-11-1-111-1-11111111-11-1-111-11-1-1-1-111-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-111-1-1-1111-1111111-1-111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-11-1-1-111111111-1-11-1
χ9111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111-1-11-11111-1-1-1-1-1-11111-1-111-1-1
χ10111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1111-1-11111111-1-11111-1-1-11-1-1-1-1-1-1-1-111-1-111
χ11111111111111111-1-111111111111-1-1-11-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11-1-1111-1-1-111-1-111-1-1-1-111
χ12111111111111111-1-111111111111-1-1-11-1-1-1-11111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1
χ13111111111111111-1-11111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-111-1-1-1-1111-1-1-1-1-1-1111-1111111-1-111-1-1-11
χ14111111111111111-1-11111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-11-1-1-1-1111111-1-111-1-1111-1
χ15111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-11111111111-1-11111-1-111-1-111-1-1-1-1-11-111-1-1-1111-1-11111-1-1-1-1-11
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000200-22200-2-222000000000000-200000000-220000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000-20022200-2-2-2-20000000000002000000002-20000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000200-2-2-2002222000000000000-2000000002-20000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000-2002-2-20022-2-2000000000000200000000-220000
χ2122222-122-12-12-12-122-1-1-1-12-120000222222-1-1-1-122-1-1-1-1-1-1222002002200-1-1-1-1-1-1-10200-1-10-10000-1-1000000-10
χ2222222-122-12-12-12-122-1-1-1-12-120000222222-1-1-1-122-1-1-1-1-1-1-2-2-200-200-2-20011-1-1-1-1-10-200110100001100000010
χ2322222-122-12-12-12-122-1-1-1-12-120000-2-2-2-222-1-1-1-1-2-211111122200200-2-200-1-1111-1-10-200-1-10-100001100000010
χ2422222-122-12-12-12-122-1-1-1-12-120000-2-2-2-222-1-1-1-1-2-2111111-2-2-200-200220011111-1-1020011010000-1-1000000-10
χ2522222-122-12-12-12-1-2-2-1-1-1-12-120000222-2-2-211-1-1-2-211111122-200-200220011-1-1-1110-200-1-1010000-1-100000010
χ2622222-122-12-12-12-1-2-2-1-1-1-12-120000222-2-2-211-1-1-2-2111111-2-2200200-2-200-1-1-1-1-1110200110-1000011000000-10
χ2722222-122-12-12-12-1-2-2-1-1-1-12-120000-2-2-22-2-211-1-122-1-1-1-1-1-122-200-200-2-20011111110200-1-101000011000000-10
χ2822222-122-12-12-12-1-2-2-1-1-1-12-120000-2-2-22-2-211-1-122-1-1-1-1-1-1-2-22002002200-1-1111110-200110-10000-1-100000010
χ292222-12222-12-12-1-122-1-1-12-12-122222-1-12-1-122-1-1-1-122-1-1-1-1000220-1-100-1-1002-1-1-1-120-1-10020-1-1-1-10000000000
χ302222-12222-12-12-1-122-1-1-12-12-12222-211-2-1-122-1-111-2-21111000220-1-100-1-100-211-1-1-201100-20-1-1110000000000
χ312222-12222-12-12-1-122-1-1-12-12-1-2-2-2-22-1-12-1-122-1-1-1-122-1-1-1-1000-2-20110011002-1-1-1-1-201100-2011110000000000
χ322222-12222-12-12-1-122-1-1-12-12-1-2-2-2-2-211-2-1-122-1-111-2-21111000-2-2011001100-211-1-120-1-1002011-1-10000000000
χ332222-12222-12-12-1-1-2-2-1-1-12-12-122222-1-1-211-2-2-1-111-2-21111000-2-20-1-100-1-1002-1-11120-1-100-2011110000000000
χ342222-12222-12-12-1-1-2-2-1-1-12-12-12222-211211-2-2-1-1-1-122-1-1-1-1000-2-20-1-100-1-100-21111-2011002011-1-10000000000
χ352222-12222-12-12-1-1-2-2-1-1-12-12-1-2-2-2-22-1-1-211-2-2-1-111-2-21111000220110011002-1-111-20110020-1-1-1-10000000000
χ362222-12222-12-12-1-1-2-2-1-1-12-12-1-2-2-2-2-211211-2-2-1-1-1-122-1-1-1-100022011001100-2111120-1-100-20-1-1110000000000
χ372-2-22222-22-2-22-2-222i−2i-22-222-2-22-22-200002i−2i2i−2i2-2000000000002i−2i02-2002-2000002i−2i000000002i−2i000000000000
χ382-2-22222-22-2-22-2-222i−2i-22-222-2-2-22-2200002i−2i2i−2i2-200000000000−2i2i0-2200-22000002i−2i00000000−2i2i000000000000
χ392-2-22222-22-2-22-2-22−2i2i-22-222-2-22-22-20000−2i2i−2i2i2-200000000000−2i2i02-2002-200000−2i2i00000000−2i2i000000000000
χ402-2-22222-22-2-22-2-22−2i2i-22-222-2-2-22-220000−2i2i−2i2i2-2000000000002i−2i0-2200-2200000−2i2i000000002i−2i000000000000
χ412-2-2222-222-2-22-2-2200-22-2-2-2222-2-2200000000-22000000002-200002-200-22000000000002-2000000002-2000000
χ422-2-2222-222-2-22-2-2200-22-2-2-2222-2-2200000000-2200000000-2200002-200-2200000000000-2200000000-22000000
χ432-2-2222-222-2-22-2-2200-22-2-2-222-222-200000000-22000000002-20000-22002-2000000000002-200000000-22000000
χ442-2-2222-222-2-22-2-2200-22-2-2-222-222-200000000-2200000000-220000-22002-200000000000-22000000002-2000000
χ452-2-22-122-221-2-1-21-12i−2i1-112-1-212-22-20−i3i30−ii2i−2i-113−30033−3−30002i−2i0-1100-11000−i3i3−ii00−i3i30000−ii3−30000000000
χ462-2-22-122-221-2-1-21-12i−2i1-112-1-212-22-20i3−i30−ii2i−2i-11−3300−3−3330002i−2i0-1100-11000i3−i3−ii00i3−i30000−ii−330000000000
χ472-2-22-122-221-2-1-21-12i−2i1-112-1-21-22-220−i3i30−ii2i−2i-113−30033−3−3000−2i2i01-1001-1000−i3i3−ii00i3−i30000i−i−330000000000
χ482-2-22-122-221-2-1-21-12i−2i1-112-1-21-22-220i3−i30−ii2i−2i-11−3300−3−333000−2i2i01-1001-1000i3−i3−ii00−i3i30000i−i3−30000000000
χ492-2-22-122-221-2-1-21-1−2i2i1-112-1-212-22-20−i3i30i−i−2i2i-11−3300−3−333000−2i2i0-1100-11000−i3i3i−i00−i3i30000i−i−330000000000
χ502-2-22-122-221-2-1-21-1−2i2i1-112-1-212-22-20i3−i30i−i−2i2i-113−30033−3−3000−2i2i0-1100-11000i3−i3i−i00i3−i30000i−i3−30000000000
χ512-2-22-122-221-2-1-21-1−2i2i1-112-1-21-22-220−i3i30i−i−2i2i-11−3300−3−3330002i−2i01-1001-1000−i3i3i−i00i3−i30000−ii3−30000000000
χ522-2-22-122-221-2-1-21-1−2i2i1-112-1-21-22-220i3−i30i−i−2i2i-113−30033−3−30002i−2i01-1001-1000i3−i3i−i00−i3i30000−ii−330000000000
χ5344444-2-4-4-24-24-24-200-2-2-22-42-4000000000000220000000000400-4000000-2-2000000000000200000000000000
χ5444444-2-4-4-24-24-24-200-2-2-22-42-4000000000000220000000000-400400000022000000000000-200000000000000
χ554444-24-4-44-24-24-2-200-2-2-2-42-4244-4-4000000002200000000000000-2-2002200000000000000000000000000000
χ564444-24-4-44-24-24-2-200-2-2-2-42-42-4-4440000000022000000000000002200-2-200000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-200004-2-24-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-422-4-2-2-2-2112222-1-1-1-1000000000000002-1-1110000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-2-2-42222112222-1-1-1-100000000000000-211-1-10000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4224222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44400-44-4-44-4400-4-44000000000000000000000000000000000022−2200000000000000000000022−2200000000
χ6244-4-44400-44-4-44-4400-4-440000000000000000000000000000000000−2222000000000000000000000−222200000000
χ6344-4-44-200242-4-2-4-20022-200000000000000000000i6−i6i6−i6i6−i60000000022−2200−2i32i300000000000000000−2200000000
χ6444-4-44-200242-4-2-4-20022-200000000000000000000i6−i6i6−i6i6−i600000000−2222002i3−2i3000000000000000002−200000000
χ6544-4-44-200242-4-2-4-20022-200000000000000000000−i6i6−i6i6−i6i60000000022−22002i3−2i300000000000000000−2200000000
χ6644-4-44-200242-4-2-4-20022-200000000000000000000−i6i6−i6i6−i6i600000000−222200−2i32i3000000000000000002−200000000
χ674-44-44400-4-44-4-444004-4-400000000000000000000000000000000000000000000000000000000000000022−2200
χ684-44-44400-4-44-4-444004-4-4000000000000000000000000000000000000000000000000000000000000000−222200
χ694-4-444-24-4-2-4242-4-24i−4i2-22-242-4000000004i−4i−2i2i-220000000000000000000000000−2i2i0000000000000000000000
χ704-4-444-24-4-2-4242-4-2−4i4i2-22-242-400000000−4i4i2i−2i-2200000000000000000000000002i−2i0000000000000000000000
χ714-4-444-2-44-2-4242-4-2002-222-4-240000000000002-2000000004-4000000000000000000000-220000000000000000
χ724-4-444-2-44-2-4242-4-2002-222-4-240000000000002-200000000-440000000000000000000002-20000000000000000
χ734-4-44-24-4442-4-2-42-2002-22-424-24-4-44000000002-200000000000000-22002-200000000000000000000000000000
χ744-4-44-24-4442-4-2-42-2002-22-424-2-444-4000000002-2000000000000002-200-2200000000000000000000000000000
χ754-4-44-2-24-4-222-22214i−4i-11-1-2-22200000−2i32i30−2i2i−2i2i1-123−2300−3−333000000000000000i3−i3i−i0000000000000000000000
χ764-4-44-2-24-4-222-22214i−4i-11-1-2-222000002i3−2i30−2i2i−2i2i1-1−23230033−3−3000000000000000−i3i3i−i0000000000000000000000
χ774-4-44-2-24-4-222-2221−4i4i-11-1-2-22200000−2i32i302i−2i2i−2i1-1−23230033−3−3000000000000000i3−i3−ii0000000000000000000000
χ784-4-44-2-24-4-222-2221−4i4i-11-1-2-222000002i3−2i302i−2i2i−2i1-123−2300−3−333000000000000000−i3i3−ii0000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4800-8-4-8484-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-4004-444-44200-2-22000000000000000000002i6−2i6−i6i6−i6i600000000000000000000000000000000000000000
χ8288-8-8-4-4004-444-44200-2-2200000000000000000000−2i62i6i6−i6i6−i600000000000000000000000000000000000000000
χ838-88-88-4004-8-4-848-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4800-8484-8-4-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-40044-444-42002-2-20000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ868-88-8-4-40044-444-42002-2-200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ878-8-88-4-4-88-444-444200-22-244-4-4000000000000-220000000000000000000000000000000000000000000000000

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