Finite Group Databasebeta

← Group #11885753

Character table — Group #11885753

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444444444444888888888888888888888812121212181818181818181824242424242424242424242424243636363648484848
order122222334466666634666666688881212121212121212661212121224242424242424242424242424242424222222448888222244666666664488661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11-11111-1-1-1-1-1-1-1-11-11-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-11111-1-1-1-1-11-11
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ51111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-1-111111111-1-111-1-1-1-1
χ61111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-11-111111-1-1-1-111-1-1-11-11
χ71111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-11-1-1-1-1-1111111-1-11-11-1
χ81111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1111-1-1-1-1-1-1-1-1-1-1111111
χ91111-1-111111111111-1-1-1-1-111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-111-1-11-1-1-1-1-111
χ101111-1-111111111111-1-1-1-1-111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111-111-1-1-1-111-1111-111-1
χ111111-1-111111111111-1-1-1-1-111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-11-1-11111-1-1-11111-1-11
χ121111-1-111111111111-1-1-1-1-111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1111-1-1-111-1-1
χ131111-1-111111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-11-11-1-111-1-111-1-1-11-1-111-1-1
χ141111-1-111111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-111-1-1111-1-1-1-1111-1111-1-11
χ151111-1-111111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11-1-111-1-1-11111-1-11-111-111-1
χ161111-1-111111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111111-11-111-1-111-1-111-11-1-1-1-111
χ1722222222-2-22222222-222222220000-2-2-2-2-2-2-2-222-2-2-2-2000000000000000000002222000000000000000000-2-2000000
χ1822222222-2-22222222-222222220000-2-2-2-2-2-2-2-222-2-2-2-200000000000000000000-2-2-2-200000000000000000022000000
χ192222222-1222-12-12-1-1222-1-1-1-1-1222222-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10022000000000022020000-1-1-1-100000-10-1
χ202222222-1222-12-12-1-1222-1-1-1-1-1222222-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100-2-20000000000-2-20-20000111100000101
χ212222222-1222-12-12-1-1222-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111002200000000002-20-20000-1-1-1-100000101
χ222222222-1222-12-12-1-1222-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-2-2111111-2-211111100-2-20000000000-22020000111100000-10-1
χ23222222-1222-12-12-12-12-1-122-1-1-12222-1-122-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1220000000000220020-1-1-1-100000000-10-10
χ24222222-1222-12-12-12-12-1-122-1-1-12222-1-122-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-20000000000-2-200-201111000000001010
χ25222222-1222-12-12-12-12-1-122-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-111-2-2111111-2-211112200000000002-200-20-1-1-1-1000000001010
χ26222222-1222-12-12-12-12-1-122-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-111-2-2111111-2-21111-2-20000000000-220020111100000000-10-10
χ272222-2-222-2-222222222-2-2-2-22220000-2-2-2-2-2-2-2-2-2-222220000000000000000000022-2-20000000000000000002-2000000
χ282222-2-222-2-222222222-2-2-2-22220000-2-2-2-2-2-2-2-2-2-2222200000000000000000000-2-222000000000000000000-22000000
χ292222-2-22-1222-12-12-1-1-2-2-211-1-1-122-2-222-1-1-1-1-1-111-211122-1-1-1-1-1-1-2-211111100220000000000-2-2020000-1-1110000010-1
χ302222-2-22-1222-12-12-1-1-2-2-211-1-1-122-2-222-1-1-1-1-1-111-211122-1-1-1-1-1-1-2-211111100-2-20000000000220-2000011-1-100000-101
χ312222-2-22-1222-12-12-1-1-2-2-211-1-1-1-2-22222-1-1-1-1-1-111-2111-2-211111122-1-1-1-1-1-100220000000000-220-20000-1-11100000-101
χ322222-2-22-1222-12-12-1-1-2-2-211-1-1-1-2-22222-1-1-1-1-1-111-2111-2-211111122-1-1-1-1-1-100-2-200000000002-202000011-1-10000010-1
χ332222-2-2-1222-12-12-12-1-211-2-2-1-1-122-2-2-1-122-1-1-1-1111-211-1-122-1-1-1-111-2-21111220000000000-2-20020-1-1110000000010-10
χ342222-2-2-1222-12-12-12-1-211-2-2-1-1-122-2-2-1-122-1-1-1-1111-211-1-122-1-1-1-111-2-21111-2-200000000002200-2011-1-100000000-1010
χ352222-2-2-1222-12-12-12-1-211-2-2-1-1-1-2-222-1-122-1-1-1-1111-21111-2-21111-1-122-1-1-1-1220000000000-2200-20-1-11100000000-1010
χ362222-2-2-1222-12-12-12-1-211-2-2-1-1-1-2-222-1-122-1-1-1-1111-21111-2-21111-1-122-1-1-1-1-2-200000000002-2002011-1-10000000010-10
χ372-22-20022-22-2-222-2-2200000-2-2200002-22-222-2-200000000000000000000002-22-2000022-2-20000002-2002-20000000000
χ382-22-20022-22-2-222-2-2200000-2-2200002-22-222-2-200000000000000000000002-2-220000-2-2220000002-200-220000000000
χ392-22-20022-22-2-222-2-2200000-2-2200002-22-222-2-20000000000000000000000-222-20000-2-222000000-22002-20000000000
χ402-22-20022-22-2-222-2-2200000-2-2200002-22-222-2-20000000000000000000000-22-22000022-2-2000000-2200-220000000000
χ412-2-222-22200-2-2-2-222202-22-22-2-22−22−2000000002-200002−22−222−2−22−22−222−2−200002-22-22−22−200000000000000002−20000
χ422-2-222-22200-2-2-2-222202-22-22-2-22−22−2000000002-200002−22−222−2−22−22−222−2−20000-22-22−22−220000000000000000−220000
χ432-2-222-22200-2-2-2-222202-22-22-2-2−22−22000000002-20000−22−22−2−222−22−22−2−22200002-22-2−22−220000000000000000−220000
χ442-2-222-22200-2-2-2-222202-22-22-2-2−22−22000000002-20000−22−22−2−222−22−22−2−2220000-22-222−22−200000000000000002−20000
χ452-2-22-222200-2-2-2-22220-22-222-2-22−2−2200000000-2200002−22−222−2−2−22−22−2−22200002-2-22−22−2200000000000000002−20000
χ462-2-22-222200-2-2-2-22220-22-222-2-22−2−2200000000-2200002−22−222−2−2−22−22−2−2220000-222-22−22−20000000000000000−220000
χ472-2-22-222200-2-2-2-22220-22-222-2-2−222−200000000-220000−22−22−2−2222−22−222−2−200002-2-222−22−20000000000000000−220000
χ482-2-22-222200-2-2-2-22220-22-222-2-2−222−200000000-220000−22−22−2−2222−22−222−2−20000-222-2−22−2200000000000000002−20000
χ494444444-2-4-44-24-24-2-2-444-2-2-2-2-20000-4-4222222-2-2-422200000000000000000000000000000000000000000000000000
χ50444444-24-4-4-24-24-24-2-4-2-244-2-2-2000022-4-42222-2-22-42200000000000000000000000000000000000000000000000000
χ51444444-2-244-2-2-2-2-2-214-2-2-2-21114444-2-2-2-2111111-2-211-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ52444444-2-244-2-2-2-2-2-214-2-2-2-2111-4-4-4-4-2-2-2-2111111-2-2112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ53444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211100002222-1-1-1-11122-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000000
χ54444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211100002222-1-1-1-11122-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000000
χ554444-4-44-2-4-44-24-24-2-24-4-422-2-2-20000-4-4222222224-2-2-200000000000000000000000000000000000000000000000000
χ564444-4-4-24-4-4-24-24-24-2422-4-4-2-2-2000022-4-4222222-24-2-200000000000000000000000000000000000000000000000000
χ574444-4-4-2-244-2-2-2-2-2-21-4222211144-4-4-2-2-2-21111-1-122-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000000
χ584444-4-4-2-244-2-2-2-2-2-21-42222111-4-444-2-2-2-21111-1-122-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000000
χ594444-4-4-2-2-4-4-2-2-2-2-2-214222211100002222-1-1-1-1-1-1-2-21100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000000000
χ604444-4-4-2-2-4-4-2-2-2-2-2-214222211100002222-1-1-1-1-1-1-2-2110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000000000
χ6144-4-400440044-4-4-4-4400000-44-400000000000000000000000000000000000000000022−22−22220000000000000000000000
χ6244-4-400440044-4-4-4-4400000-44-4000000000000000000000000000000000000000000−222222−220000000000000000000000
χ634-44-400444-4-4-444-4-4400000-4-440000-44-44-4-44400000000000000000000000000000000000000000000000000000000
χ644-44-4004-24-4-424-2-42-20000022-20000-442-222-2-20000000000000000000000000000000000000000000000−2i32i300000000
χ654-44-4004-24-4-424-2-42-20000022-20000-442-222-2-200000000000000000000000000000000000000000000002i3−2i300000000
χ664-44-4004-2-44-424-2-42-20000022-200004-4-22-2-2220000000000000000000000004-4000000000000000000-220000000000
χ674-44-4004-2-44-424-2-42-20000022-200004-4-22-2-222000000000000000000000000-440000000000000000002-20000000000
χ684-44-400-244-42-4-242-4-20000022-200002-2-4422-2-2000000000000000000000000000000000000000000−2i32i3000000000000
χ694-44-400-244-42-4-242-4-20000022-200002-2-4422-2-20000000000000000000000000000000000000000002i3−2i3000000000000
χ704-44-400-24-442-4-242-4-20000022-20000-224-4-2-22200000000000000000000004-40000000000000000-2200000000000000
χ714-44-400-24-442-4-242-4-20000022-20000-224-4-2-2220000000000000000000000-4400000000000000002-200000000000000
χ724-4-444-44-200-42-424-2-204-4-22-22222−2222−2200000000-22000022−22−22−2−22222−22−22−2−2220000000000000000000000000000000000
χ734-4-444-44-200-42-424-2-204-4-22-222−2222−222200000000-220000−22222−222−2−2−22222−222−2−20000000000000000000000000000000000
χ744-4-444-4-24002-42-4-24-20-224-4-22222−2222−2200000000-220000−2222−22−2−222−2222−22−2−2220000000000000000000000000000000000
χ754-4-444-4-24002-42-4-24-20-224-4-222−2222−222200000000-2200002−2−222222−2−22−2−222222−2−20000000000000000000000000000000000
χ764-4-444-4-2-2002222-2-210-22-221-1-122−2222−2200003i−3i3i−3i1-1003i−3i−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ230000000000000000000000000000000000
χ774-4-444-4-2-2002222-2-210-22-221-1-122−2222−220000−3i3i−3i3i1-100−3i3i−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ230000000000000000000000000000000000
χ784-4-444-4-2-2002222-2-210-22-221-1-1−2222−222200003i−3i3i−3i1-1003i−3i2−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ230000000000000000000000000000000000
χ794-4-444-4-2-2002222-2-210-22-221-1-1−2222−22220000−3i3i−3i3i1-100−3i3i2−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ232−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ230000000000000000000000000000000000
χ804-4-44-444-200-42-424-2-20-442-2-22222−22−2222000000002-2000022−22−22−2−222−22222−222−2−20000000000000000000000000000000000
χ814-4-44-444-200-42-424-2-20-442-2-222−222222−22000000002-20000−22222−222−2−222−22−22−2−2220000000000000000000000000000000000
χ824-4-44-44-24002-42-4-24-202-2-44-22222−22−2222000000002-20000−2222−22−2−2222−2−222222−2−20000000000000000000000000000000000
χ834-4-44-44-24002-42-4-24-202-2-44-222−222222−22000000002-200002−2−222222−2−2−2222−22−2−2220000000000000000000000000000000000
χ844-4-44-44-2-2002222-2-2102-22-21-1-122−22−222200003i−3i3i−3i-1100−3i3i−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ232−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ230000000000000000000000000000000000
χ854-4-44-44-2-2002222-2-2102-22-21-1-122−22−22220000−3i3i−3i3i-11003i−3i−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ232−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ230000000000000000000000000000000000
χ864-4-44-44-2-2002222-2-2102-22-21-1-1−222222−2200003i−3i3i−3i-1100−3i3i2−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ230000000000000000000000000000000000
χ874-4-44-44-2-2002222-2-2102-22-21-1-1−222222−220000−3i3i−3i3i-11003i−3i2−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ230000000000000000000000000000000000
χ8888-8-8008-4008-4-84-84-4000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-800-4800-484-84-8-4000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-4-400-4-44444200000-22-2000000006i−6i−6i6i00000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-400-4-44444200000-22-200000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000000
χ928-88-800-4-48-844-4-444200000-2-2200004-44-4-2-22200000000000000000000000000000000000000000000000000000000
χ938-88-800-4-4-8844-4-444200000-2-220000-44-4422-2-200000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.