Finite Group Databasebeta

← Group #11864373

Character table — Group #11864373

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order1222223344446666661212121236666666121212121212121212124466121212121212121212121212121212121212222222448888242424242424242466666688121224242424224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111111111-1-1
χ91111-1-111-1-111111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-1111-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-11-1-1-111-1-11-11-11-1
χ101111-1-111-1-111111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-1111-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-111-1-11-11111-1-1-11-11-11
χ111111-1-111-1-111111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-1111-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-111-11-1-1-1-111-11-11-11
χ121111-1-111-1-111111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-1111-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-111-1111-1-1111-11-11-1
χ131111-1-111-1-111111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-111-11-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111111111-1-1-11-1-1-1-1111-11-1-11
χ141111-1-111-1-111111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-111-11-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1111-1-111-11-111-1
χ151111-1-111-1-111111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-111-11-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1111111-1-1111-1-1-111-1-1-11-111-1
χ161111-1-111-1-111111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-111-11-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1111-11111-1-11-11-1-11
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2002200000000-2-20000000000000000000000000000000000000000002-2-2200
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2002200000000-2-2000000000000000000000000000000000000000000-222-200
χ192222222-1222222-1-1-122222-122-1-1-1-1-1-1-1-12-1-1-1-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000-1-1-1-12200-1-1-1-1000000
χ202222222-1222222-1-1-122222-122-1-1-1-1-1-1-1-12-1-1-1-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000000000001111-2-2001111000000
χ212222222-1222222-1-1-122222-122-1-1-1-1-1-1-1-12-1-1-1-1-12-2-2-1-1-2-211-2-211-1-1111111112222000000000000000000-1-1-1-1-2-2001111000000
χ222222222-1222222-1-1-122222-122-1-1-1-1-1-1-1-12-1-1-1-1-12-2-2-1-1-2-211-2-211-1-111111111-2-2-2-200000000000000000011112200-1-1-1-1000000
χ23222222-122222-1-1222-1-1-1-1-1-1-1-122-1-1-1222-1-1-1-1-12-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1000022222222-1-1-1-1-1-1-1-1-1-1000000-1-10000000000
χ24222222-122222-1-1222-1-1-1-1-1-1-1-122-1-1-1222-1-1-1-1-12-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-21111111111000000110000000000
χ25222222-122222-1-1222-1-1-1-1-1-1-1-122-1-1-1222-1-1-1-1-12-1-2-2-1-111-2-211-2-2-1-11111111100002222-2-2-2-211111111-1-1000000-1-10000000000
χ26222222-122222-1-1222-1-1-1-1-1-1-1-122-1-1-1222-1-1-1-1-12-1-2-2-1-111-2-211-2-2-1-1111111110000-2-2-2-22222-1-1-1-1-1-1-1-111000000110000000000
χ272222-2-22222-2-222222222222-2-2-2-2222-222-22222-2-200-2-200000000-2-200000000000000000000000000000000000000000022-2-200
χ282222-2-22222-2-222222222222-2-2-2-2222-222-22222-2-200-2-200000000-2-2000000000000000000000000000000000000000000-2-22200
χ292222-2-22-1-2-22222-1-1-12-2-2-2-2-1-2-211-1-1-1-11121111-122-21122-1-1-2-211-1-1-1-1-1-1111122-2-2000000000000000000-1-1112-200-1-111000000
χ302222-2-22-1-2-22222-1-1-12-2-2-2-2-1-2-211-1-1-1-11121111-122-21122-1-1-2-211-1-1-1-1-1-11111-2-22200000000000000000011-1-1-220011-1-1000000
χ312222-2-22-1-2-22222-1-1-12-2-2-2-2-1-2-211-1-1-1-11121111-12-2211-2-21122-1-1-1-11111-1-1-1-122-2-2000000000000000000-1-111-220011-1-1000000
χ322222-2-22-1-2-22222-1-1-12-2-2-2-2-1-2-211-1-1-1-11121111-12-2211-2-21122-1-1-1-11111-1-1-1-1-2-22200000000000000000011-1-12-200-1-111000000
χ332222-2-2-12-2-222-1-1222-11111-111-2-2-1-1-12-2-2-111112-12-211-1-12211-2-2-1-1-1-1-1-11111000022-2-222-2-2-1-1-1-11111-1-1000000110000000000
χ342222-2-2-12-2-222-1-1222-11111-111-2-2-1-1-12-2-2-111112-12-211-1-12211-2-2-1-1-1-1-1-111110000-2-222-2-2221111-1-1-1-111000000-1-10000000000
χ352222-2-2-12-2-222-1-1222-11111-111-2-2-1-1-12-2-2-111112-1-221111-2-2-1-122-1-11111-1-1-1-1000022-2-2-2-2221111-1-1-1-1-1-1000000110000000000
χ362222-2-2-12-2-222-1-1222-11111-111-2-2-1-1-12-2-2-111112-1-221111-2-2-1-122-1-11111-1-1-1-10000-2-22222-2-2-1-1-1-1111111000000-1-10000000000
χ372-2-222-2222-22-2-2-22-2-2222-2-222-22-22-2-222-2-222-2-2-22002-2000000002-2000000002-22-20000000000000000002-22-200000000000000
χ382-2-222-2222-22-2-2-22-2-2222-2-222-22-22-2-222-2-222-2-2-22002-2000000002-200000000-22-22000000000000000000-22-2200000000000000
χ392-2-222-222-22-22-2-22-2-22-2-22222-22-22-2-2-2-222-2-2222-2002-200000000-220000000000002-22-20000000000002-20000002-20000000000
χ402-2-222-222-22-22-2-22-2-22-2-22222-22-22-2-2-2-222-2-2222-2002-200000000-22000000000000-22-22000000000000-22000000-220000000000
χ412-2-222-22-12-22-2-2-2-111222-2-2-12-2-11-111-1-11-2-1-1111200-11003−3003−3-1133−3−333−3−32-22-2000000000000000000-11-1100003−33−3000000
χ422-2-222-22-12-22-2-2-2-111222-2-2-12-2-11-111-1-11-2-1-1111200-11003−3003−3-1133−3−333−3−3-22-220000000000000000001-11-10000−33−33000000
χ432-2-222-22-12-22-2-2-2-111222-2-2-12-2-11-111-1-11-2-1-1111200-1100−3300−33-11−3−333−3−3332-22-2000000000000000000-11-110000−33−33000000
χ442-2-222-22-12-22-2-2-2-111222-2-2-12-2-11-111-1-11-2-1-1111200-1100−3300−33-11−3−333−3−333-22-220000000000000000001-11-100003−33−3000000
χ452-2-222-2-12-22-22112-2-2-111-1-1-1-112-2-111-2-22-111-1-12100-113−3003−3001-13−33−33−33−300002-22-2000033−3−333−3−3-11000000-110000000000
χ462-2-222-2-12-22-22112-2-2-111-1-1-1-112-2-111-2-22-111-1-12100-113−3003−3001-13−33−33−33−30000-22-220000−3−333−3−3331-10000001-10000000000
χ472-2-222-2-12-22-22112-2-2-111-1-1-1-112-2-111-2-22-111-1-12100-11−3300−33001-1−33−33−33−3300002-22-20000−3−333−3−333-11000000-110000000000
χ482-2-222-2-12-22-22112-2-2-111-1-1-1-112-2-111-2-22-111-1-12100-11−3300−33001-1−33−33−33−330000-22-22000033−3−333−3−31-10000001-10000000000
χ492-2-22-22222-2-22-2-22-2-2222-2-22-22-222-2-2-22-2222-2-22-200-2200000000-220000000000002-2-220000000000002-2000000-220000000000
χ502-2-22-22222-2-22-2-22-2-2222-2-22-22-222-2-2-22-2222-2-22-200-2200000000-22000000000000-222-2000000000000-220000002-20000000000
χ512-2-22-2222-222-2-2-22-2-22-2-2222-22-222-2-22-22-2-2-222-2200-22000000002-2000000002-2-220000000000000000002-2-2200000000000000
χ522-2-22-2222-222-2-2-22-2-22-2-2222-22-222-2-22-22-2-2-222-2200-22000000002-200000000-222-2000000000000000000-222-200000000000000
χ532-2-22-222-1-222-2-2-2-1112-2-222-1-221-1-111-11-1-211-1-112001-1003−300−33-1133−3−3−3−3332-2-22000000000000000000-111-100003−3−33000000
χ542-2-22-222-1-222-2-2-2-1112-2-222-1-221-1-111-11-1-211-1-112001-1003−300−33-1133−3−3−3−333-222-20000000000000000001-1-110000−333−3000000
χ552-2-22-222-1-222-2-2-2-1112-2-222-1-221-1-111-11-1-211-1-112001-100−33003−3-11−3−33333−3−32-2-22000000000000000000-111-10000−333−3000000
χ562-2-22-222-1-222-2-2-2-1112-2-222-1-221-1-111-11-1-211-1-112001-100−33003−3-11−3−33333−3−3-222-20000000000000000001-1-1100003−3−33000000
χ572-2-22-22-122-2-22112-2-2-1-1-111-11-1-22-111-22-2-1-1-11121001-13−300−33001-13−33−3−33−3300002-2-22000033−3−3−3−333-110000001-10000000000
χ582-2-22-22-122-2-22112-2-2-1-1-111-11-1-22-111-22-2-1-1-11121001-13−300−33001-13−33−3−33−330000-222-20000−3−33333−3−31-1000000-110000000000
χ592-2-22-22-122-2-22112-2-2-1-1-111-11-1-22-111-22-2-1-1-11121001-1−33003−3001-1−33−333−33−300002-2-220000−3−33333−3−3-110000001-10000000000
χ602-2-22-22-122-2-22112-2-2-1-1-111-11-1-22-111-22-2-1-1-11121001-1−33003−3001-1−33−333−33−30000-222-2000033−3−3−3−3331-1000000-110000000000
χ614444444-2-4-4-4-444-2-2-24-4-4-4-4-244-2-2-2-2-2222-422222-400-2-20000000022000000000000000000000000000000000000000000000000
χ62444444-24-4-4-4-4-2-2444-22222-2-2-244-2-2-2-4-4-422222-4200-2-20000000022000000000000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-21111-2-24411-2-2-2-2-2-2-2-211111111110000000000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-21111-2-2-4-4112222222211-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-21112222-1-1-1-122001100000000-1-13-3-333-3-330000000000000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-21112222-1-1-1-122001100000000-1-1-333-3-333-30000000000000000000000000000000000000000
χ674444-4-44-244-4-444-2-2-244444-2-4-422-2-2-22-2-2-4-2-2-2-22-400220000000022000000000000000000000000000000000000000000000000
χ684444-4-4-2444-4-4-2-2444-2-2-2-2-2-222-4-4-2-2-2-4442-2-2-2-2-4200220000000022000000000000000000000000000000000000000000000000
χ694444-4-4-2-244-4-4-2-2-2-2-2-2-2-2-2-2122221112-2-2211112200-1-100000000-1-13-3-33-333-30000000000000000000000000000000000000000
χ704444-4-4-2-244-4-4-2-2-2-2-2-2-2-2-2-2122221112-2-2211112200-1-100000000-1-1-333-33-3-330000000000000000000000000000000000000000
χ714444-4-4-2-2-4-444-2-2-2-2-2-2222212222111-222-2-1-1-1-1-2-24-4-1-1-2-2-2-22222111111-1-1-1-10000000000000000000000000000000000000000
χ724444-4-4-2-2-4-444-2-2-2-2-2-2222212222111-222-2-1-1-1-1-2-2-44-1-12222-2-2-2-211-1-1-1-111110000000000000000000000000000000000000000
χ7344-4-4004400004-4-44-4-4000040000-44-4000000000000000000000000000000000000000000−2i22i20000−2i22i2−2i22i200000000000000000000
χ7444-4-4004400004-4-44-4-4000040000-44-40000000000000000000000000000000000000000002i2−2i200002i2−2i22i2−2i200000000000000000000
χ7544-4-400-240000-22-44-4223−2323−23-200002-22000023−2323−230000000000000000000000000000000000−2i22i2i6−i6i6−i6i2−i2i2−i200000000000000000000
χ7644-4-400-240000-22-44-4223−2323−23-200002-22000023−2323−2300000000000000000000000000000000002i2−2i2−i6i6−i6i6−i2i2−i2i200000000000000000000
χ7744-4-400-240000-22-44-42−2323−2323-200002-220000−2323−23230000000000000000000000000000000000−2i22i2−i6i6−i6i6i2−i2i2−i200000000000000000000
χ7844-4-400-240000-22-44-42−2323−2323-200002-220000−2323−232300000000000000000000000000000000002i2−2i2i6−i6i6−i6−i2i2−i2i200000000000000000000
χ794-44-400440000-44-4-44-4000040000-4-440000000000000000000000000000000000000000−2i22i200−2i22i22i2−2i2000000000000000000000000
χ804-44-400440000-44-4-44-4000040000-4-4400000000000000000000000000000000000000002i2−2i2002i2−2i2−2i22i2000000000000000000000000
χ814-44-400-2400002-2-4-44223−23−2323-2000022-2000023−23−232300000000000000000000000000000000−2i22i200i2−i2−i2i2i6−i6−i6i600000000000000000000
χ824-44-400-2400002-2-4-44223−23−2323-2000022-2000023−23−2323000000000000000000000000000000002i2−2i200−i2i2i2−i2−i6i6i6−i600000000000000000000
χ834-44-400-2400002-2-4-442−232323−23-2000022-20000−232323−2300000000000000000000000000000000−2i22i200i2−i2−i2i2−i6i6i6−i600000000000000000000
χ844-44-400-2400002-2-4-442−232323−23-2000022-20000−232323−23000000000000000000000000000000002i2−2i200−i2i2i2−i2i6−i6−i6i600000000000000000000
χ854-4-444-44-2-44-44-4-4-2224-4-444-24-4-22-22222-2422-2-2-2-400-22000000002-2000000000000000000000000000000000000000000000000
χ864-4-444-4-244-44-4224-4-4-2-2-222-2-224-4-22244-42-2-222-4-200-2200000000-22000000000000000000000000000000000000000000000000
χ874-4-444-4-2-24-44-422-222-2-2-2221-22-221-1-1-2-22211-1-12-2001-10023−230023−231-1−3−333−3−3330000000000000000000000000000000000000000
χ884-4-444-4-2-24-44-422-222-2-2-2221-22-221-1-1-2-22211-1-12-2001-100−232300−23231-133−3−333−3−30000000000000000000000000000000000000000
χ894-4-444-4-2-2-44-4422-222-222-2-21-22-221-1-122-2-2-1-111-22001-123−230023−2300-11−33−33−33−330000000000000000000000000000000000000000
χ904-4-444-4-2-2-44-4422-222-222-2-21-22-221-1-122-2-2-1-111-22001-1−232300−232300-113−33−33−33−30000000000000000000000000000000000000000
χ914-4-44-444-24-4-44-4-4-222444-4-4-2-442-2-2222-224-2-222-2-4002-2000000002-2000000000000000000000000000000000000000000000000
χ924-4-44-44-24-444-4224-4-4-222-2-2-22-2-44-2224-44222-2-2-4-2002-200000000-22000000000000000000000000000000000000000000000000
χ934-4-44-44-2-24-4-4422-222-2-2-22212-22-21-1-12-22-211-1-1-2200-1123−2300−232300-11−33−333−33−30000000000000000000000000000000000000000
χ944-4-44-44-2-24-4-4422-222-2-2-22212-22-21-1-12-22-211-1-1-2200-11−23230023−2300-113−33−3−33−330000000000000000000000000000000000000000
χ954-4-44-44-2-2-444-422-222-222-2-212-22-21-1-1-22-22-1-1112-200-110023−2300−23231-1−3−33333−3−30000000000000000000000000000000000000000
χ964-4-44-44-2-2-444-422-222-222-2-212-22-21-1-1-22-22-1-1112-200-1100−23230023−231-133−3−3−3−3330000000000000000000000000000000000000000
χ9788-8-8008-400008-84-44-80000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-444-44443−4343−4320000-22-20000−2323−23230000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-444-444−4343−434320000-22-2000023−2323−230000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8008-40000-8844-4-80000-4000044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-400004-444-4443−43−434320000-2-220000−232323−230000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-400004-444-44−434343−4320000-2-22000023−23−23230000000000000000000000000000000000000000000000000000000000000000

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