Finite Group Databasebeta

← Group #11864585

Character table — Group #11864585

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order122233446666662236661212121222444666681212121224242424242424242224446666881212661212122466812121212122424242422248864
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-111-111-1-1-1-11111111-11-1-11-11111-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-111-11-1-111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-111-111-1-1111111-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111111-1-11-1-11111-1-1111111-111-11-1-1-1-111-1-1-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-111-1-1-1-111-1-1-1-11111111-1-1-1-111-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111-1-11-111-1-111111111-1-11-1
χ911111111111111-1-11111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1111-1111-1-111-1-111-1-111-1-111-1-1
χ1011111111111111-1-11111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-111111-1-1-1111-1-1-1-1-1-1-1-111-1-111
χ1111111111111111-1-1111111111111-1-1-1-1-11-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1-11-1111-1-1-1-1-1-1-11111-1-1-1-111
χ1211111111111111-1-1111111111111-1-1-1-1-11-1-11111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1
χ1311111111111111-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-1-111-1-1-1-1111-1-1111-1-1-1111111-1-111-1-1-11
χ1411111111111111-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-111-1-111-1-11111-1-1111-1
χ1511111111111111-1-111111111-1-1-1-1-1-1-1-1-11-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111-1
χ1611111111111111-1-111111111-1-1-1-1-1-1-1-1-11-1-11111111111-1-11111-1-11111-1-1-1-1-1-1-1-11-1-1-11111111-1-111-1-1-1-1-11
χ17222222-2-2222222002222-2-2-2-222-2-200000000-2-20000000000200-2222200-2-20000000000-20000000000-220000
χ18222222-2-2222222002222-2-2-2-222-2-200000000-2-20000000000-200222-2-200-2-20000000000200000000002-20000
χ19222222-2-2222222002222-2-2-2-2-2-22200000000-2-20000000000200-2-2-22200220000000000-200000000002-20000
χ20222222-2-2222222002222-2-2-2-2-2-22200000000-2-20000000000-2002-2-2-2-20022000000000020000000000-220000
χ2122222-1222-1-1-12222-1-1-1-12-1-120000222-1-1222-1-1-1-122-1-1-1-122200200-1-12200-1-1-1-1-120-1-10-10000-1-100000000-10
χ2222222-1222-1-1-12222-1-1-1-12-1-120000222-1-1222-1-1-1-122-1-1-1-1-2-2-200-20011-2-200-1-1-1-1-1-2011010000110000000010
χ2322222-1222-1-1-12222-1-1-1-12-1-120000-222-1-1-2-2-2-1-111-2-2111122200200-1-1-2-200-1-1111-20-1-10-10000110000000010
χ2422222-1222-1-1-12222-1-1-1-12-1-120000-222-1-1-2-2-2-1-111-2-21111-2-2-200-200112200-1-11112011010000-1-100000000-10
χ2522222-1222-1-1-122-2-2-1-1-1-12-1-1200002-2-211-222-1-111-2-2111122-200-20011220011-1-1-1-20-1-1010000-1-10000000010
χ2622222-1222-1-1-122-2-2-1-1-1-12-1-1200002-2-211-222-1-111-2-21111-2-2200200-1-1-2-20011-1-1-120110-100001100000000-10
χ2722222-1222-1-1-122-2-2-1-1-1-12-1-120000-2-2-2112-2-2-1-1-1-122-1-1-1-122-200-20011-2-2001111120-1-10100001100000000-10
χ2822222-1222-1-1-122-2-2-1-1-1-12-1-120000-2-2-2112-2-2-1-1-1-122-1-1-1-1-2-2200200-1-1220011111-20110-10000-1-10000000010
χ292222-1222-1222-1-122-1-1-1-1-122-122222-1-1222-1-1-1-122-1-1-1-1-1-1000220-1-10000-1-1-1-12-1-1020020-1-1-1-100-1-100000000
χ302222-1222-1222-1-122-1-1-1-1-122-12222-2-1-122-211-1-1-2-2111111000220-1-10000-1-1-1-1-2110-200-2011-1-1001100000000
χ312222-1222-1222-1-122-1-1-1-1-122-1-2-2-2-22-1-1222-1-1-1-122-1-1-1-1-1-1000-2-2011000011-1-12-1-10-200-201111001100000000
χ322222-1222-1222-1-122-1-1-1-1-122-1-2-2-2-2-2-1-122-211-1-1-2-2111111000-2-2011000011-1-1-211020020-1-11100-1-100000000
χ332222-1222-1222-1-1-2-2-1-1-1-1-122-12222211-2-2-2-1-1-1-1-2-2111111000-2-20-1-10000-1-1112-1-10200-20-1-111001100000000
χ342222-1222-1222-1-1-2-2-1-1-1-1-122-12222-211-2-2211-1-122-1-1-1-1-1-1000-2-20-1-10000-1-111-2110-20020111100-1-100000000
χ352222-1222-1222-1-1-2-2-1-1-1-1-122-1-2-2-2-2211-2-2-2-1-1-1-1-2-211111100022011000011112-1-10-2002011-1-100-1-100000000
χ362222-1222-1222-1-1-2-2-1-1-1-1-122-1-2-2-2-2-211-2-2211-1-122-1-1-1-1-1-10002201100001111-2110200-20-1-1-1-1001100000000
χ372-2-22222-2-2-2-22-22002-22-2-22-222-22-200000000-22000000002-200002-200002-200000002-200000000002-2000000
χ382-2-22222-2-2-2-22-22002-22-2-22-222-22-200000000-2200000000-2200002-200002-20000000-220000000000-22000000
χ392-2-22222-2-2-2-22-22002-22-2-22-22-22-2200000000-22000000002-20000-220000-2200000002-20000000000-22000000
χ402-2-22222-2-2-2-22-22002-22-2-22-22-22-2200000000-2200000000-220000-220000-220000000-2200000000002-2000000
χ412-2-2222-22-2-2-22-222-22-22-22-22-22-2-2202-22-20002-2000000000002-202-20000-222-2000000000002-2000000000000
χ422-2-2222-22-2-2-22-222-22-22-22-22-2-222-202-22-20002-200000000000-220-2200002-22-200000000000-22000000000000
χ432-2-2222-22-2-2-22-22-222-22-22-22-22-2-220-22-220002-200000000000-2202-20000-22-2200000000000-22000000000000
χ442-2-2222-22-2-2-22-22-222-22-22-22-2-222-20-22-220002-2000000000002-20-2200002-2-22000000000002-2000000000000
χ452-2-22-12-221-2-221-12-2-11-11-1-2212-2-220-112-203−3-11003−333−3−30002-20-1100001-1-1103−30000003−3-11003−300000000
χ462-2-22-12-221-2-221-12-2-11-11-1-2212-2-220-112-20−33-1100−33−3−3330002-20-1100001-1-110−33000000−33-1100−3300000000
χ472-2-22-12-221-2-221-12-2-11-11-1-221-222-20-112-203−3-11003−333−3−3000-2201-10000-11-1103−3000000−331-100−3300000000
χ482-2-22-12-221-2-221-12-2-11-11-1-221-222-20-112-20−33-1100−33−3−333000-2201-10000-11-110−330000003−31-1003−300000000
χ492-2-22-12-221-2-221-1-22-11-11-1-2212-2-2201-1-2203−3-1100−33−3−333000-220-1100001-11-103−30000003−31-100−3300000000
χ502-2-22-12-221-2-221-1-22-11-11-1-2212-2-2201-1-220−33-11003−333−3−3000-220-1100001-11-10−33000000−331-1003−300000000
χ512-2-22-12-221-2-221-1-22-11-11-1-221-222-201-1-2203−3-1100−33−3−3330002-201-10000-111-103−3000000−33-11003−300000000
χ522-2-22-12-221-2-221-1-22-11-11-1-221-222-201-1-220−33-11003−333−3−30002-201-10000-111-10−330000003−3-1100−3300000000
χ5344444-2-4-44-2-2-24400-2-2-2-2-422-4000000000000220000000000400-400-2-20000000000000020000000000000000
χ5444444-2-4-44-2-2-24400-2-2-2-2-422-4000000000000220000000000-4004002200000000000000-20000000000000000
χ554444-24-4-4-2444-2-200-2-2-2-22-4-4244-4-4000000002200000000000000-2-2000022000000000000000000000000000
χ564444-24-4-4-2444-2-200-2-2-2-22-4-42-4-444000000002200000000000000220000-2-2000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2441111-2-2-2-200004-2-2-2-24-2-211-2-2-2-211110000000000000011-2110000000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-2-2-2-20000-4-2-2-2-2-422112222-1-1-1-100000000000000112-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2000042222-4-2-2112222-1-1-1-100000000000000-1-1-2110000000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-2-2-2-20000-4222242211-2-2-2-2111100000000000000-1-12-1-10000000000000000000000
χ6144-4-4440044-4-4-4-40044-4-4000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ6244-4-4440044-4-4-4-40044-4-40000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ634-44-44400-4-44-44-4004-4-4400000000000000000000000000000000000022−220000000000000000022−220000000000
χ644-44-44400-4-44-44-4004-4-44000000000000000000000000000000000000−222200000000000000000−22220000000000
χ654-44-44-200-42-224-400-222-2000000000000000000i6−i600i6−i6i6−i600000000−2i32i322−2200000000000000000−220000000000
χ664-44-44-200-42-224-400-222-2000000000000000000i6−i600i6−i6i6−i6000000002i3−2i3−2222000000000000000002−20000000000
χ674-44-44-200-42-224-400-222-2000000000000000000−i6i600−i6i6−i6i600000000−2i32i3−2222000000000000000002−20000000000
χ684-44-44-200-42-224-400-222-2000000000000000000−i6i600−i6i6−i6i6000000002i3−2i322−2200000000000000000−220000000000
χ694-4-444-24-4-422-2-4400-22-22-4-2240000000000002-2000000004-40000000000000000000-22000000000000000000
χ704-4-444-24-4-422-2-4400-22-22-4-2240000000000002-200000000-4400000000000000000002-2000000000000000000
χ714-4-444-2-44-422-2-444-4-22-2242-2-4000004-4-22000-220000000000000000000000-220000000000000000000000000
χ724-4-444-2-44-422-2-44-44-22-2242-2-400000-442-2000-2200000000000000000000002-20000000000000000000000000
χ734-4-44-244-42-4-442-200-22-2224-4-24-44-4000000002-200000000000000-220000-22000000000000000000000000000
χ744-4-44-244-42-4-442-200-22-2224-4-2-44-44000000002-2000000000000002-200002-2000000000000000000000000000
χ754-4-44-2-2-44222-22-24-41-11-1-22-2200000-22-22023−231-10023−23−3−333000000000000001-10−330000000000000000000000
χ764-4-44-2-2-44222-22-24-41-11-1-22-2200000-22-220−23231-100−232333−3−3000000000000001-103−30000000000000000000000
χ774-4-44-2-2-44222-22-2-441-11-1-22-22000002-22-2023−231-100−232333−3−300000000000000-110−330000000000000000000000
χ784-4-44-2-2-44222-22-2-441-11-1-22-22000002-22-20−23231-10023−23−3−33300000000000000-1103−30000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-40022224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-88-4008-444-8-800-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4800-48-8-84400-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-4-444440022-2-20000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ8388-8-8-4-400-4-444440022-2-200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ848-88-8-48004-88-8-4400-444-40000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-40044-44-44002-2-220000000000000000002i6−2i600−i6i6−i6i600000000000000000000000000000000000000000
χ868-88-8-4-40044-44-44002-2-22000000000000000000−2i62i600i6−i6i6−i600000000000000000000000000000000000000000
χ878-8-88-4-48-8444-44-4002-22-24-44-4000000000000-220000000000000000000000000000000000000000000000000

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