Finite Group Databasebeta

← Group #11867178

Character table — Group #11867178

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order1222223344446666661212121236666666121212121212121212122244446612121212121212121212121212121212121224666688881212121224446612121212121224242424888822
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ91111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1111111-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-1-111-1-1-11111-1-111-1-111-1-11-1
χ101111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1111111-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-11-11-1-111-1-111-1-111-1-111-11
χ111111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-111111-11-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-111-1-11-1-1111-1-1-1-11111-1-111-1-1-11
χ121111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-111111-11-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-11111-1-11-11-111-1-111-1-1-1-111-1-1111-1
χ131111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-11-1-1-1-11-1-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1111-11-111-1-111-1-111-1-1-1-111-11
χ141111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-11-1-1-1-11-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1111-1-1111-1-1-1-111-1-11111-1-11-1
χ151111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-11-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-111-11-11-1-111-1-11111-1-1-1-1111-1
χ161111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-11-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-111-1-111-111-1-1-11111-1-1-1-11111-1-1-11
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222-2-2002200000000-2-2000000002-222220000-2-2-2-20000000000000000000000
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-222002200000000-2-200000000-22-2-2-2-2000022220000000000000000000000
χ192222222-1222222-1-12-1-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-12222222-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-10000-1-1-1-12200-1-1-1-100000000000000
χ202222222-1222222-1-12-1-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-122222-2-2-1-1-2-21111-2-2-1-11111111122-1-1-1-10000-1-1-1-1-2-200111100000000000000
χ212222222-1222222-1-12-1-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-12-2-2-2-222-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2111100001111-2-200111100000000000000
χ222222222-1222222-1-12-1-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-12-2-2-2-2-2-2-1-1-2-21111-2-2-1-111111111-2-21111000011112200-1-1-1-100000000000000
χ232222222-1-2-2-2-222-1-12-11111-122-1-1-1-1-1-2-2-2111111-222-2-200-1-100−i3i3−i3i30011−i3−i3i3i3−i3−i3i3i32-2-1-1-1-1000011110000−i3i3−i3i300000000000000
χ242222222-1-2-2-2-222-1-12-11111-122-1-1-1-1-1-2-2-2111111-222-2-200-1-100i3−i3i3−i30011i3i3−i3−i3i3i3−i3−i32-2-1-1-1-1000011110000i3−i3i3−i300000000000000
χ252222222-1-2-2-2-222-1-12-11111-122-1-1-1-1-1-2-2-2111111-2-2-22200-1-100−i3i3−i3i30011−i3−i3i3i3−i3−i3i3i3-2211110000-1-1-1-10000i3−i3i3−i300000000000000
χ262222222-1-2-2-2-222-1-12-11111-122-1-1-1-1-1-2-2-2111111-2-2-22200-1-100i3−i3i3−i30011i3i3−i3−i3i3i3−i3−i3-2211110000-1-1-1-10000−i3i3−i3i300000000000000
χ27222222-122222-1-122-122222-1-1-122-1-1-1-1-1-122-1-1-1-1-1000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000002222000000220000-1-1-1-1-1-1-1-1000000
χ28222222-122222-1-122-122222-1-1-122-1-1-1-1-1-122-1-1-1-1-1000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-2000000-2-2000011111111000000
χ29222222-122222-1-122-122222-1-1-122-1-1-1-1-1-122-1-1-1-1-10000-2-2-1-111-2-2-2-211-1-1111111110000002222000000-2-200001111-1-1-1-1000000
χ30222222-122222-1-122-122222-1-1-122-1-1-1-1-1-122-1-1-1-1-10000-2-2-1-111-2-2-2-211-1-111111111000000-2-2-2-2000000220000-1-1-1-11111000000
χ312222-2-222-222-222222222222-2-2-2-2222-222-2-22222-222-2-200-2-200000000-2-200000000-2222-2-20000-2-2220000000000000000000000
χ322222-2-222-222-222222222222-2-2-2-2222-222-2-22222-2-2-22200-2-200000000-2-2000000002-2-2-222000022-2-20000000000000000000000
χ332222-2-22-12-2-2222-1-12-11111-1-2-211-1-1-12-2-2-1-11111222222-21122-1-111-2-2-1-1-1-1-1-11111-2-2-1-1110000-1-111-220011-1-100000000000000
χ342222-2-22-12-2-2222-1-12-11111-1-2-211-1-1-12-2-2-1-1111122222-2211-2-211-1-122-1-11111-1-1-1-1-2-2-1-1110000-1-1112-200-1-11100000000000000
χ352222-2-22-12-2-2222-1-12-11111-1-2-211-1-1-12-2-2-1-111112-2-2-2-22-21122-1-111-2-2-1-1-1-1-1-111112211-1-1000011-1-12-200-1-11100000000000000
χ362222-2-22-12-2-2222-1-12-11111-1-2-211-1-1-12-2-2-1-111112-2-2-2-2-2211-2-211-1-122-1-11111-1-1-1-12211-1-1000011-1-1-220011-1-100000000000000
χ372222-2-22-1-222-222-1-12-1-1-1-1-1-1-2-211-1-1-1-22211-1-1-1-1-222-2-2001100−i3i3i3−i30011−i3−i3i3i3i3i3−i3−i3-22-1-111000011-1-10000i3−i3−i3i300000000000000
χ382222-2-22-1-222-222-1-12-1-1-1-1-1-1-2-211-1-1-1-22211-1-1-1-1-222-2-2001100i3−i3−i3i30011i3i3−i3−i3−i3−i3i3i3-22-1-111000011-1-10000−i3i3i3−i300000000000000
χ392222-2-22-1-222-222-1-12-1-1-1-1-1-1-2-211-1-1-1-22211-1-1-1-1-2-2-222001100−i3i3i3−i30011−i3−i3i3i3i3i3−i3−i32-211-1-10000-1-1110000−i3i3i3−i300000000000000
χ402222-2-22-1-222-222-1-12-1-1-1-1-1-1-2-211-1-1-1-22211-1-1-1-1-2-2-222001100i3−i3−i3i30011i3i3−i3−i3−i3−i3i3i32-211-1-10000-1-1110000i3−i3−i3i300000000000000
χ412222-2-2-122-2-22-1-122-12-2-2-2-2-111-2-2-1-1-1-111221111-100002-211-1-122-2-211-1-1-1-1-1-1111100000022-2-20000002-20000-1-111-1-111000000
χ422222-2-2-122-2-22-1-122-12-2-2-2-2-111-2-2-1-1-1-111221111-100002-211-1-122-2-211-1-1-1-1-1-11111000000-2-222000000-22000011-1-111-1-1000000
χ432222-2-2-122-2-22-1-122-12-2-2-2-2-111-2-2-1-1-1-111221111-10000-221111-2-222-1-1-1-11111-1-1-1-100000022-2-2000000-22000011-1-1-1-111000000
χ442222-2-2-122-2-22-1-122-12-2-2-2-2-111-2-2-1-1-1-111221111-10000-221111-2-222-1-1-1-11111-1-1-1-1000000-2-2220000002-20000-1-11111-1-1000000
χ452-22-22-22222-2-22-2-2-2-2222-2-222-22-22-2-222-22-222-2-2-20000002-2000000002-2000000000000000000000000000000000000002i−2i2i−2i00
χ462-22-22-22222-2-22-2-2-2-2222-2-222-22-22-2-222-22-222-2-2-20000002-2000000002-200000000000000000000000000000000000000−2i2i−2i2i00
χ472-22-22-222-2-2222-2-2-2-22-2-22222-22-22-2-2-2-22-22-2-22220000002-200000000-22000000000000002-22-200000000000000002-22-2000000
χ482-22-22-222-2-2222-2-2-2-22-2-22222-22-22-2-2-2-22-22-2-22220000002-200000000-2200000000000000-22-220000000000000000-22-22000000
χ492-22-22-2-12-2-222-11-2-212-2-222-1-112-2-11111-1-2211-1-1-1000000-113−300003−31-13−33−33−33−30000002-22-20000000000003−33−3-11-11000000
χ502-22-22-2-12-2-222-11-2-212-2-222-1-112-2-11111-1-2211-1-1-1000000-113−300003−31-13−33−33−33−3000000-22-22000000000000−33−331-11-1000000
χ512-22-22-2-12-2-222-11-2-212-2-222-1-112-2-11111-1-2211-1-1-1000000-11−330000−331-1−33−33−33−330000002-22-2000000000000−33−33-11-11000000
χ522-22-22-2-12-2-222-11-2-212-2-222-1-112-2-11111-1-2211-1-1-1000000-11−330000−331-1−33−33−33−33000000-22-220000000000003−33−31-11-1000000
χ532-22-2-22222-22-22-2-2-2-22-2-2222-22-222-2-22-222-2-2-222-2000000-22000000002-2000000000000000000000000000000000000002i−2i−2i2i00
χ542-22-2-22222-22-22-2-2-2-22-2-2222-22-222-2-22-222-2-2-222-2000000-22000000002-200000000000000000000000000000000000000−2i2i2i−2i00
χ552-22-2-2222-22-222-2-2-2-2222-2-22-22-222-2-2-22-2-2222-2-22000000-2200000000-22000000000000002-2-2200000000000000002-2-22000000
χ562-22-2-2222-22-222-2-2-2-2222-2-22-22-222-2-2-22-2-2222-2-22000000-2200000000-2200000000000000-222-20000000000000000-222-2000000
χ572-22-2-22-12-22-22-11-2-21222-2-2-11-1-22-1111-11-22-1-111-10000001-13−30000−331-13−33−3−33−330000002-2-220000000000003−3−33-111-1000000
χ582-22-2-22-12-22-22-11-2-21222-2-2-11-1-22-1111-11-22-1-111-10000001-13−30000−331-13−33−3−33−33000000-222-2000000000000−333−31-1-11000000
χ592-22-2-22-12-22-22-11-2-21222-2-2-11-1-22-1111-11-22-1-111-10000001-1−3300003−31-1−33−333−33−30000002-2-22000000000000−333−3-111-1000000
χ602-22-2-22-12-22-22-11-2-21222-2-2-11-1-22-1111-11-22-1-111-10000001-1−3300003−31-1−33−333−33−3000000-222-20000000000003−3−331-1-11000000
χ61444444-24-4-4-4-4-2-244-24-4-4-4-4-2-2-244-2-2-2222-4-422222000000-2-2000000002200000000000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-21111-200004411-2-2-2-2-2-2-2-21111111111000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-21111-20000-4-4112222222211-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-211122222-1-1-1-120000001100−2i32i3−2i32i300-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-211122222-1-1-1-1200000011002i3−2i32i3−2i300-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000
χ664444-4-4-24-444-4-2-244-244444-222-4-4-2-2-22-2-2-4-4-2-2-2-2200000022000000002200000000000000000000000000000000000000000000
χ674444-4-4-2-24-4-44-2-2-2-2-2-2222212222111-222-2-2-1-1-1-1-200004-4-1-1-2-2-2-22222111111-1-1-1-1000000000000000000000000000000000000
χ684444-4-4-2-24-4-44-2-2-2-2-2-2222212222111-222-2-2-1-1-1-1-20000-44-1-12222-2-2-2-211-1-1-1-11111000000000000000000000000000000000000
χ694444-4-4-2-2-444-4-2-2-2-2-2-2-2-2-2-2122221112-2-22211112000000-1-100−2i32i32i3−2i300-1-1i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000
χ704444-4-4-2-2-444-4-2-2-2-2-2-2-2-2-2-2122221112-2-22211112000000-1-1002i3−2i3−2i32i300-1-1−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000
χ7144-4-400440000-444-4-4-4000040000-44-40000000000004i−4i000000000000000000000000000000004i−4i000000000000000000000000
χ7244-4-400440000-444-4-4-4000040000-44-4000000000000−4i4i00000000000000000000000000000000−4i4i000000000000000000000000
χ7344-4-4004-20000-44-22-4223−2323−23-200002-220000023−2323−230004i−4i00000000000000000000000000−2i32i30000−2i2i000000000000000000000000
χ7444-4-4004-20000-44-22-4223−2323−23-200002-220000023−2323−23000−4i4i000000000000000000000000002i3−2i300002i−2i000000000000000000000000
χ7544-4-4004-20000-44-22-42−2323−2323-200002-2200000−2323−23230004i−4i000000000000000000000000002i3−2i30000−2i2i000000000000000000000000
χ7644-4-4004-20000-44-22-42−2323−2323-200002-2200000−2323−2323000−4i4i00000000000000000000000000−2i32i300002i−2i000000000000000000000000
χ774-44-44-44-244-4-44-422-4-2-2-222-24-4-22-22244-4-22-2-222-4000000-2200000000-2200000000000000000000000000000000000000000000
χ784-44-44-44-2-4-4444-422-4-222-2-2-24-4-22-222-4-442-222-2-24000000-22000000002-200000000000000000000000000000000000000000000
χ794-44-44-4-2444-4-4-22-4-42444-4-4-2-224-4-222-2-224-4-2-2222000000-2200000000-2200000000000000000000000000000000000000000000
χ804-44-44-4-2-244-4-4-22222-2-2-2221-22-221-1-1-2-22-2211-1-120000001-1000000001-13i−3i−3i3i3i−3i−3i3i000000000000000000000000000000000000
χ814-44-44-4-2-244-4-4-22222-2-2-2221-22-221-1-1-2-22-2211-1-120000001-1000000001-1−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000000000
χ824-44-44-4-2-2-4-444-22222-222-2-21-22-221-1-122-22-2-1-111-20000001-123−23000023−23-11−33−33−33−33000000000000000000000000000000000000
χ834-44-44-4-2-2-4-444-22222-222-2-21-22-221-1-122-22-2-1-111-20000001-1−23230000−2323-113−33−33−33−3000000000000000000000000000000000000
χ844-44-4-444-24-44-44-422-4-222-2-2-2-442-2-2224-44-2222-2-2-40000002-200000000-2200000000000000000000000000000000000000000000
χ854-44-4-444-2-44-444-422-4-2-2-222-2-442-2-222-44-42-2-2-22240000002-2000000002-200000000000000000000000000000000000000000000
χ864-44-4-44-244-44-4-22-4-424-4-444-22-2-44-222-22-24-422-2-220000002-200000000-2200000000000000000000000000000000000000000000
χ874-44-4-44-2-24-44-4-22222-222-2-212-22-21-1-1-22-2-22-1-1112000000-11000000001-13i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000
χ884-44-4-44-2-24-44-4-22222-222-2-212-22-21-1-1-22-2-22-1-1112000000-11000000001-1−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000
χ894-44-4-44-2-2-44-44-22222-2-2-22212-22-21-1-12-222-211-1-1-2000000-1123−230000−2323-11−33−333−33−3000000000000000000000000000000000000
χ904-44-4-44-2-2-44-44-22222-2-2-22212-22-21-1-12-222-211-1-1-2000000-11−2323000023−23-113−33−3−33−33000000000000000000000000000000000000
χ914-4-4400440000-4-4-444-4000040000-4-4400000000004-4000000000000000000000000004-400000000000000000000000000000000
χ924-4-4400440000-4-4-444-4000040000-4-440000000000-4400000000000000000000000000-4400000000000000000000000000000000
χ934-4-44004-20000-4-42-24223−23−2323-2000022-20000023−23−232304-400000000000000000000000000-220000000023−230000000000000000000000
χ944-4-44004-20000-4-42-24223−23−2323-2000022-20000023−23−23230-44000000000000000000000000002-200000000−23230000000000000000000000
χ954-4-44004-20000-4-42-242−232323−23-2000022-200000−232323−2304-400000000000000000000000000-2200000000−23230000000000000000000000
χ964-4-44004-20000-4-42-242−232323−23-2000022-200000−232323−230-44000000000000000000000000002-20000000023−230000000000000000000000
χ9788-8-800-4800004-48-84-80000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-400004-4-444443−4343−4320000-22-200000−2323−2323000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-400004-4-4444−4343−434320000-22-20000023−2323−23000000000000000000000000000000000000000000000000000000000000000
χ1008-8-8800-48000044-88-4-80000-4000044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-40000444-4-4443−43−434320000-2-2200000−232323−23000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-40000444-4-44−434343−4320000-2-220000023−23−2323000000000000000000000000000000000000000000000000000000000000000

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