Finite Group Databasebeta

← Group #11865789

Character table — Group #11865789

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444441212121212121212181818182424242424242424242424242424242424242424363636363636
order12224444223344666666121212121212121236666666666688881212121212121212121212122424242424242424242424242424242424242424242424242424242424242424224444444444224466666612121212121212121212448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-1111111-1-1-1-111-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-11111-1-1-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-111-1-1
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-11-1-11111-1-11111-1-1-1-1-11-1-111
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-111-111-1-1-1-111-1-1-1-11111-11-1-111
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111-111-1-1
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-1111-1-1-111
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-111-111-11111-1-1-1-111-1-1-1-111-1111-1-1
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1111-1-11-1-1-1-11111-1-11111-1-1-1111-1-1
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-11111-1-111-1-111-1-111-1-111-1-111-1-11-1-1-111
χ1722222222222-122-1-1222-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200000000202000-1-1-1-1000000-1-1-1-1000000
χ1822222222222-122-1-1222-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-20-200011110000001111000000
χ1922222222222-122-1-1222-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111222200000000-20-2000-1-111000000-1-111000000
χ2022222222222-122-1-1222-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-20000000020200011-1-100000011-1-1000000
χ212222222222-122222-1-1-12-1-1-1-12222-1-1-122-1-1-1-1-1-1-12222-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222200000202-1-10000-1-1-1-1-1-10000000000
χ222222222222-122222-1-1-12-1-1-1-12222-1-1-122-1-1-1-1-1-1-12222-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-200000-20-21100001111110000000000
χ232222222222-122222-1-1-12-1-1-1-12222-1-1-122-1-1-1-1-1-1-1-2-2-2-2-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000222200000-20-2110000-1-1-1-1110000000000
χ242222222222-122222-1-1-12-1-1-1-12222-1-1-122-1-1-1-1-1-1-1-2-2-2-2-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000-2-2-2-200000202-1-100001111-1-10000000000
χ2522222222-2-222-2-2222222222222222-2-2-2-222-2-2-2-220000-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000222200000000000000000000-2-20000
χ2622222222-2-222-2-2222222222222222-2-2-2-222-2-2-2-220000-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000-2-2-2-200000000000000000000220000
χ272222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22222222222220000-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000022-2-200000000000000000000-220000
χ282222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22222222222220000-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-222000000000000000000002-20000
χ292222-2-2-2-2-2-22-122-1-1222-1-2-2-2-21111-1-2-211-1-11111-122-2-22-1-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111122-2-20000000020-2000-1-1-1-10000001111000000
χ302222-2-2-2-2-2-22-122-1-1222-1-2-2-2-21111-1-2-211-1-11111-122-2-22-1-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-22200000000-2020001111000000-1-1-1-1000000
χ312222-2-2-2-2-2-22-122-1-1222-1-2-2-2-21111-1-2-211-1-11111-1-2-2222-1-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-122-2-200000000-202000-1-11100000011-1-1000000
χ322222-2-2-2-2-2-22-122-1-1222-1-2-2-2-21111-1-2-211-1-11111-1-2-2222-1-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2220000000020-200011-1-1000000-1-111000000
χ332222-2-2-2-2-2-2-122222-1-1-121111-2-2-2-2-111-2-2-1-11111-122-2-2-12-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000022-2-20000020-2-1-10000-1-111110000000000
χ342222-2-2-2-2-2-2-122222-1-1-121111-2-2-2-2-111-2-2-1-11111-122-2-2-12-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000-2-22200000-20211000011-1-1-1-10000000000
χ352222-2-2-2-2-2-2-122222-1-1-121111-2-2-2-2-111-2-2-1-11111-1-2-222-12-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000022-2-200000-202110000-1-111-1-10000000000
χ362222-2-2-2-2-2-2-122222-1-1-121111-2-2-2-2-111-2-2-1-11111-1-2-222-12-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2220000020-2-1-1000011-1-1110000000000
χ3722-2-222-2-22-2222-2-2-2-2-22222-2-222-2-222-22-2-2-222-2-220000222222-2-2-2-2-2-20000000000000000000000000000000000002i−2i2i−2i000000000000002i−2i2i−2i000000000000
χ3822-2-222-2-22-2222-2-2-2-2-22222-2-222-2-222-22-2-2-222-2-220000222222-2-2-2-2-2-2000000000000000000000000000000000000−2i2i−2i2i00000000000000−2i2i−2i2i000000000000
χ3922-2-222-2-22-2-122-2-2-211-12-1-11122-2-2-1-112-211-1-111-10000-12-1-1-1-1111-21133−3−300003333−3−3−3−333−3−300003333−3−3−3−300002i−2i2i−2i00000000−i3i30000−ii−ii−i3i30000000000
χ4022-2-222-2-22-2-122-2-2-211-12-1-11122-2-2-1-112-211-1-111-10000-12-1-1-1-1111-21133−3−300003333−3−3−3−333−3−300003333−3−3−3−30000−2i2i−2i2i00000000i3−i30000i−ii−ii3−i30000000000
χ4122-2-222-2-22-2-122-2-2-211-12-1-11122-2-2-1-112-211-1-111-10000-12-1-1-1-1111-211−3−3330000−3−3−3−33333−3−3330000−3−3−3−3333300002i−2i2i−2i00000000i3−i30000−ii−iii3−i30000000000
χ4222-2-222-2-22-2-122-2-2-211-12-1-11122-2-2-1-112-211-1-111-10000-12-1-1-1-1111-211−3−3330000−3−3−3−33333−3−3330000−3−3−3−333330000−2i2i−2i2i00000000−i3i30000i−ii−i−i3i30000000000
χ4322-2-222-2-2-2222-22-2-2-2-22222-2-222-2-22-22-22-2-2-2-22220000-2-2-2-222-2-22222000000000000000000000000000000002-22-2000000000000002-2000000002-200000000
χ4422-2-222-2-2-2222-22-2-2-2-22222-2-222-2-22-22-22-2-2-2-22220000-2-2-2-222-2-2222200000000000000000000000000000000-22-2200000000000000-2200000000-2200000000
χ4522-2-222-2-2-222-1-2211-2-22-122-2-2-1-111-1-221-11111-1-1-10000-2111-1-1112-1-1-10000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32-22-200000000000000-11−i3i3000000-11−i3i3000000
χ4622-2-222-2-2-222-1-2211-2-22-122-2-2-1-111-1-221-11111-1-1-10000-2111-1-1112-1-1-10000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-22-22000000000000001-1i3−i30000001-1i3−i3000000
χ4722-2-222-2-2-222-1-2211-2-22-122-2-2-1-111-1-221-11111-1-1-10000-2111-1-1112-1-1-10000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32-22-200000000000000-11i3−i3000000-11i3−i3000000
χ4822-2-222-2-2-222-1-2211-2-22-122-2-2-1-111-1-221-11111-1-1-10000-2111-1-1112-1-1-10000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-22-22000000000000001-1−i3i30000001-1−i3i3000000
χ4922-2-2-2-2222-222-22-2-2-2-222-2-222-2-22222-22-2-2-222-2-220000-2-2-2-2-2-2222222000000000000000000000000000000002-2-22000000000000002-200000000-2200000000
χ5022-2-2-2-2222-222-22-2-2-2-222-2-222-2-22222-22-2-2-222-2-220000-2-2-2-2-2-222222200000000000000000000000000000000-222-200000000000000-22000000002-200000000
χ5122-2-2-2-2222-22-1-2211-2-22-1-2-22211-1-1-12-2-1111-1-111-10000-211111-1-12-1-1-10000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32-2-2200000000000000-11−i3i30000001-1i3−i3000000
χ5222-2-2-2-2222-22-1-2211-2-22-1-2-22211-1-1-12-2-1111-1-111-10000-211111-1-12-1-1-10000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-222-2000000000000001-1i3−i3000000-11−i3i3000000
χ5322-2-2-2-2222-22-1-2211-2-22-1-2-22211-1-1-12-2-1111-1-111-10000-211111-1-12-1-1-10000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32-2-2200000000000000-11i3−i30000001-1−i3i3000000
χ5422-2-2-2-2222-22-1-2211-2-22-1-2-22211-1-1-12-2-1111-1-111-10000-211111-1-12-1-1-10000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-222-2000000000000001-1−i3i3000000-11i3−i3000000
χ5522-2-2-2-222-22222-2-2-2-2-222-2-222-2-2222-22-22-2-2-2-222200002222-2-222-2-2-2-20000000000000000000000000000000000002i−2i−2i2i000000000000002i−2i−2i2i000000000000
χ5622-2-2-2-222-22222-2-2-2-2-222-2-222-2-2222-22-22-2-2-2-222200002222-2-222-2-2-2-2000000000000000000000000000000000000−2i2i2i−2i00000000000000−2i2i2i−2i000000000000
χ5722-2-2-2-222-22-122-2-2-211-1211-1-1-2-222-11-1-221111-1-1-10000-12-1-111-1-11-21133−3−300003333−3−3−3−3−3−3330000−3−3−3−3333300002i−2i−2i2i00000000−i3i30000−iii−ii3−i30000000000
χ5822-2-2-2-222-22-122-2-2-211-1211-1-1-2-222-11-1-221111-1-1-10000-12-1-111-1-11-21133−3−300003333−3−3−3−3−3−3330000−3−3−3−333330000−2i2i2i−2i00000000i3−i30000i−i−ii−i3i30000000000
χ5922-2-2-2-222-22-122-2-2-211-1211-1-1-2-222-11-1-221111-1-1-10000-12-1-111-1-11-211−3−3330000−3−3−3−3333333−3−300003333−3−3−3−300002i−2i−2i2i00000000i3−i30000−iii−i−i3i30000000000
χ6022-2-2-2-222-22-122-2-2-211-1211-1-1-2-222-11-1-221111-1-1-10000-12-1-111-1-11-211−3−3330000−3−3−3−3333333−3−300003333−3−3−3−30000−2i2i2i−2i00000000−i3i30000i−i−iii3−i30000000000
χ612-22-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i200002-20000-22−2−i2i200002i−2i2i−2i00002−22−22−22−22−22−22−22−2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000002-22i−2i00000000000000000000002−2−i2i2
χ622-22-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i200002-20000-22−2−i2i200002i−2i2i−2i00002−22−22−22−22−22−22−22−2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000-22−2i2i0000000000000000000000−22i2−i2
χ632-22-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i200002-20000-2−22i2−i200002i−2i2i−2i0000−22−22−22−22−22−22−22−22i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000002-22i−2i0000000000000000000000−22i2−i2
χ642-22-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i200002-20000-2−22i2−i200002i−2i2i−2i0000−22−22−22−22−22−22−22−22i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000-22−2i2i00000000000000000000002−2−i2i2
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χ1214-4-44−4i4i4i−4i00-2400-442-22-42i−2i−2i2i−4i4i4i−4i-200002-200002000000002i−2i−2i2i00006−6−6600006−66−6−66−66i6−i6−i6i60000i6−i6i6−i6−i6i6−i6i600000000000000000000000000000000000000
χ1224-4-44−4i4i4i−4i00-2400-442-22-42i−2i−2i2i−4i4i4i−4i-200002-200002000000002i−2i−2i2i0000−666−60000−66−666−66−6−i6i6i6−i60000−i6i6−i6i6i6−i6i6−i600000000000000000000000000000000000000
χ1234-4-44−4i4i4i−4i00-2-2002-22-2222i−2i−2i2i2i−2i−2i2i10000-113-3-33-1000000−3i3i−iii−i003i−3i6−6−66−i6i6i6−i6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23i6−i6−i6i66−6−66−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000000000000000000000
χ1244-4-44−4i4i4i−4i00-2-2002-22-2222i−2i−2i2i2i−2i−2i2i10000-113-3-33-1000000−3i3i−iii−i003i−3i−666−6i6−i6−i6i6−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−i6i6i6−i6−666−6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000000000000000000000
χ1254-4-44−4i4i4i−4i00-2-2002-22-2222i−2i−2i2i2i−2i−2i2i10000-11-333-3-10000003i−3i−iii−i00−3i3i6−6−66i6−i6−i6i6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13i6−i6−i6i6−666−6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ2300000000000000000000000000000000000000
χ1264-4-44−4i4i4i−4i00-2-2002-22-2222i−2i−2i2i2i−2i−2i2i10000-11-333-3-10000003i−3i−iii−i00−3i3i−666−6−i6i6i6−i6ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−i6i6i6−i66−6−66ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ2300000000000000000000000000000000000000

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