Finite Group Databasebeta

← Group #11884627

Character table — Group #11884627

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444444444444488888888888888888888888121212121818242424242424242424242424242436363636364848484872
order1222334466666634466688121212121212121212121212812121212121224242424242424242424242424242424224444244444661212121212122248861212128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-111-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1
χ511111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-111-111-1-111-1-1111-1-1-111-1-1
χ611111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1111-1-111-1-1-1-1-1111-1-111
χ711111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-11-1-111-1-111111-1-11-1-11-1
χ811111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-111-1-111-1-1-111-111-11
χ9111111111111111-1-111111-1-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-11-1-11111-1-1-1-11-1-11111-1-1-1
χ10111111111111111-1-111111-1-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-1111
χ11111111111111111-1-111111-1-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-111-1-1-1-111111-1-111-1-111-1
χ12111111111111111-1-111111-1-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-111-1-111-1-11
χ13111111111111111-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1111-1-1-1-1111-1-1-1-1-11-111
χ14111111111111111-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11-11-11-111-1-1-1-111-111111-11-1-1
χ15111111111111111-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-11-1-1-11111-1-11-1-1-1-11-11-11
χ16111111111111111-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-11-11-11-1-11111-1-1-11111-11-11-1
χ17222222-2-222222222-22220022-2-2-2-2-2-2-2-2-2-202-222-2-2000000000000000000002200000000000000-22-20000000
χ18222222-2-222222222-22220022-2-2-2-2-2-2-2-2-2-202-222-2-200000000000000000000-2-2000000000000002-220000000
χ19222222-2-22222222-2222200-2-222-2-2-2-2-2-2-2-20-22-2-222000000000000000000002200000000000000-2-220000000
χ20222222-2-22222222-2222200-2-222-2-2-2-2-2-2-2-20-22-2-22200000000000000000000-2-20000000000000022-20000000
χ2122222-12222-1-1-12-122-1-1-122-1-1-1-1-1-122-1-1-1-1222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222200022000-1-1-1-1-1-1-1-10000000000
χ2222222-12222-1-1-12-122-1-1-122-1-1-1-1-1-122-1-1-1-1222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2000-2-2000111111110000000000
χ2322222-12222-1-1-12-122-1-1-1-2-2-1-1-1-1-1-122-1-1-1-1-222-1-1-1-1-2-2111111-2-211111122-2-20002-2000-1-111-1-1110000000000
χ2422222-12222-1-1-12-122-1-1-1-2-2-1-1-1-1-1-122-1-1-1-1-222-1-1-1-1-2-2111111-2-2111111-2-222000-2200011-1-111-1-10000000000
χ2522222-12222-1-1-12-1-2-2-1-1-1221111-1-122-1-1-1-1-2-2-2111122-1-1-1-1-1-1-2-21111112222000-2-2000-1-1-1-111110000000000
χ2622222-12222-1-1-12-1-2-2-1-1-1221111-1-122-1-1-1-1-2-2-2111122-1-1-1-1-1-1-2-2111111-2-2-2-2000220001111-1-1-1-10000000000
χ2722222-12222-1-1-12-1-2-2-1-1-1-2-21111-1-122-1-1-1-12-2-21111-2-211111122-1-1-1-1-1-122-2-2000-22000-1-11111-1-10000000000
χ2822222-12222-1-1-12-1-2-2-1-1-1-2-21111-1-122-1-1-1-12-2-21111-2-211111122-1-1-1-1-1-1-2-2220002-200011-1-1-1-1110000000000
χ292222-1222-1-1222-1-122-1-1-122222222-1-1-1-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000002002220000000000000-1-1-1-10
χ302222-1222-1-1222-1-122-1-1-122222222-1-1-1-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000-200-2-2-2000000000000011110
χ312222-1222-1-1222-1-122-1-1-1-2-2222222-1-1-1-1-1-1-2-1-1-1-1-1-111-2-2111111-2-21111000000200-2-220000000000000-111-10
χ322222-1222-1-1222-1-122-1-1-1-2-2222222-1-1-1-1-1-1-2-1-1-1-1-1-111-2-2111111-2-21111000000-20022-200000000000001-1-110
χ332222-1222-1-1222-1-1-2-2-1-1-122-2-2-2-222-1-1-1-1-1-1-2111111-1-122-1-1-1-111-2-211110000002002-2-20000000000000-1-1110
χ342222-1222-1-1222-1-1-2-2-1-1-122-2-2-2-222-1-1-1-1-1-1-2111111-1-122-1-1-1-111-2-21111000000-200-222000000000000011-1-10
χ352222-1222-1-1222-1-1-2-2-1-1-1-2-2-2-2-2-222-1-1-1-1-1-1211111111-2-21111-1-122-1-1-1-1000000200-22-20000000000000-11-110
χ362222-1222-1-1222-1-1-2-2-1-1-1-2-2-2-2-2-222-1-1-1-1-1-1211111111-2-21111-1-122-1-1-1-1000000-2002-2200000000000001-11-10
χ372-2-2222-22-2-2-22-222002-2-22-200002-22-222-2-200000002-22-222-2-2000000002-22-2000000002-22-200000000000000
χ382-2-2222-22-2-2-22-222002-2-22-200002-22-222-2-200000002-22-222-2-200000000-22-2200000000-22-2200000000000000
χ392-2-2222-22-2-2-22-222002-2-2-2200002-22-222-2-20000000-22-22-2-222000000002-2-22000000002-2-2200000000000000
χ402-2-2222-22-2-2-22-222002-2-2-2200002-22-222-2-20000000-22-22-2-22200000000-222-200000000-222-200000000000000
χ412-2-222-1-22-2-21-112-100-1112-23−33−3-112-2-1-1110003−33−32-2-11-1-111003−333−3−32-22-200000000-11-113−33−30000000000
χ422-2-222-1-22-2-21-112-100-1112-23−33−3-112-2-1-1110003−33−32-2-11-1-111003−333−3−3-22-22000000001-11-1−33−330000000000
χ432-2-222-1-22-2-21-112-100-1112-2−33−33-112-2-1-111000−33−332-2-11-1-11100−33−3−3332-22-200000000-11-11−33−330000000000
χ442-2-222-1-22-2-21-112-100-1112-2−33−33-112-2-1-111000−33−332-2-11-1-11100−33−3−333-22-22000000001-11-13−33−30000000000
χ452-2-222-1-22-2-21-112-100-111-223−33−3-112-2-1-1110003−33−3-221-111-1-100−33−3−3332-2-2200000000-111-13−3−330000000000
χ462-2-222-1-22-2-21-112-100-111-223−33−3-112-2-1-1110003−33−3-221-111-1-100−33−3−333-222-2000000001-1-11−333−30000000000
χ472-2-222-1-22-2-21-112-100-111-22−33−33-112-2-1-111000−33−33-221-111-1-1003−333−3−32-2-2200000000-111-1−333−30000000000
χ482-2-222-1-22-2-21-112-100-111-22−33−33-112-2-1-111000−33−33-221-111-1-1003−333−3−3-222-2000000001-1-113−3−330000000000
χ4944444-2-4-444-2-2-24-24-4-2-2-200-2-22222-4-4222204-4-2-2220000000000000000000000000000000000000000000000
χ5044444-2-4-444-2-2-24-2-44-2-2-20022-2-222-4-422220-4422-2-20000000000000000000000000000000000000000000000
χ514444-24-4-4-2-2444-2-24-4-2-2-20044-4-4-4-42222220-22-2-2220000000000000000000000000000000000000000000000
χ524444-24-4-4-2-2444-2-2-44-2-2-200-4-444-4-422222202-222-2-20000000000000000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-211114-2-21111-2-2-2-21111-2-2-2-21111000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-2-2-2-21111-4-2-211112222-1-1-1-12222-1-1-1-1000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111442222-2-2-2-21111-422-1-1-1-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-4-42222-2-2-2-21111422-1-1-1-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-214-411100-2-2222222-1-1-1-10-2211-1-100003i−3i3i−3i00003i−3i3i−3i000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-214-411100-2-2222222-1-1-1-10-2211-1-10000−3i3i−3i3i0000−3i3i−3i3i000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-21-441110022-2-22222-1-1-1-102-2-1-11100003i−3i3i−3i0000−3i3i−3i3i000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-21-441110022-2-22222-1-1-1-102-2-1-1110000−3i3i−3i3i00003i−3i3i−3i000000000000000000000000000000
χ6144-4-444004-44-4-4-4400-44-400000000000000000000000000000000000000000000000000000000000022−2200000
χ6244-4-444004-44-4-4-4400-44-4000000000000000000000000000000000000000000000000000000000000−222200000
χ634-44-44400-44-4-44-4400-4-44000000000000000000000000000000000000000004i−4i000000000000000000000000
χ644-44-44400-44-4-44-4400-4-4400000000000000000000000000000000000000000−4i4i000000000000000000000000
χ654-4-44444-4-4-4-44-444004-4-4000000-44-44-4-44400000000000000000000000000000000000000000000000000000
χ664-4-444-24-4-4-42-224-200-2220023−23−23232-2-4422-2-200023−23−23230000000000000000000000000000000000000000000000
χ674-4-444-24-4-4-42-224-200-22200−232323−232-2-4422-2-2000−232323−230000000000000000000000000000000000000000000000
χ684-4-44-244-422-44-4-2-200-222000000-442-222-2-2000000000000000−2i32i300−2i32i32i3−2i3000000000000000000000000000000
χ694-4-44-244-422-44-4-2-200-222000000-442-222-2-20000000000000002i3−2i3002i3−2i3−2i32i3000000000000000000000000000000
χ704-4-44-24-4422-44-4-2-200-2224-400004-4-22-2-2220000000-224-4-2-22200000000000000000000000000000000000000
χ714-4-44-24-4422-44-4-2-200-222-4400004-4-22-2-22200000002-2-4422-2-200000000000000000000000000000000000000
χ724-4-44-2-24-4222-22-21001-1-10023−23−23232-22-2-1-111000−333−300003i−3i−3i3i−2i32i300i3−i3−i3i3000000000000000000000000000000
χ734-4-44-2-24-4222-22-21001-1-10023−23−23232-22-2-1-111000−333−30000−3i3i3i−3i2i3−2i300−i3i3i3−i3000000000000000000000000000000
χ744-4-44-2-24-4222-22-21001-1-100−232323−232-22-2-1-1110003−3−3300003i−3i−3i3i2i3−2i300−i3i3i3−i3000000000000000000000000000000
χ754-4-44-2-24-4222-22-21001-1-100−232323−232-22-2-1-1110003−3−330000−3i3i3i−3i−2i32i300i3−i3−i3i3000000000000000000000000000000
χ764-4-44-2-2-44222-22-21001-1-14-423−2323−23-22-2211-1-1000−33−33-22-2211-1-10023−23−3−333000000000000000000000000000000
χ774-4-44-2-2-44222-22-21001-1-14-4−2323−2323-22-2211-1-10003−33−3-22-2211-1-100−232333−3−3000000000000000000000000000000
χ784-4-44-2-2-44222-22-21001-1-1-4423−2323−23-22-2211-1-1000−33−332-22-2-1-11100−232333−3−3000000000000000000000000000000
χ794-4-44-2-2-44222-22-21001-1-1-44−2323−2323-22-2211-1-10003−33−32-22-2-1-1110023−23−3−333000000000000000000000000000000
χ8088-8-88-4008-8-444-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4800-448-8-84-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-44-4444200-22-200000000006i−6i6i−6i00000000000000000000000000000000000000000000000000000
χ8388-8-8-4-400-44-4444200-22-20000000000−6i6i−6i6i00000000000000000000000000000000000000000000000000000
χ848-88-88-400-8844-4-8-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-48004-4-8-884-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-4-4004-444-44200-2-2200000000006i−6i−6i6i00000000000000000000000000000000000000000000000000000
χ878-88-8-4-4004-444-44200-2-220000000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000

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