Finite Group Databasebeta

← Group #11785748

Character table — Group #11785748

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order12222233444466666634444666666666661212121212121212121212121212121212121212121212121212121244448888888824242424242424242424242424242424224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ51111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1
χ61111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ71111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111
χ81111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ911111111-1-1-1-1111111111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i-1-111-1-1
χ1011111111-1-1-1-1111111111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii-1-111-1-1
χ1111111111-1-1-1-1111111111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii11-1-111
χ1211111111-1-1-1-1111111111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i11-1-111
χ1311111111-1-1-1-11111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii-1-1-1-111
χ1411111111-1-1-1-11111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-1-1-1-111
χ1511111111-1-1-1-11111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i1111-1-1
χ1611111111-1-1-1-11111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii1111-1-1
χ172222222-122222-12-12-1-1222222-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000-1-1-1-1-1-1-1-1000000
χ182222222-122222-12-12-1-1222222-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-20000000011111111000000
χ192222222-122222-12-12-1-1-2-2-2-222-1-1-1-1-1-1-1-1-122-1-122-1-1-2-211-2-211-1-1-1-1111111110000000022-2-200000000-1-1-1-11111000000
χ202222222-122222-12-12-1-1-2-2-2-222-1-1-1-1-1-1-1-1-122-1-122-1-1-2-211-2-211-1-1-1-11111111100000000-2-222000000001111-1-1-1-1000000
χ212222222-1-2-2-2-22-12-12-1-122-2-222-1-1-1-1-1-1-1-1-1-2-211-2-21122-1-1-2-2111111-1-1-1-11111000000002i−2i2i−2i00000000−i−iii−i−iii000000
χ222222222-1-2-2-2-22-12-12-1-122-2-222-1-1-1-1-1-1-1-1-1-2-211-2-21122-1-1-2-2111111-1-1-1-1111100000000−2i2i−2i2i00000000ii−i−iii−i−i000000
χ232222222-1-2-2-2-22-12-12-1-1-2-22222-1-1-1-1-1-1-1-1-1-2-211-2-211-2-21122-1-111111111-1-1-1-1000000002i−2i−2i2i00000000−i−iiiii−i−i000000
χ242222222-1-2-2-2-22-12-12-1-1-2-22222-1-1-1-1-1-1-1-1-1-2-211-2-211-2-21122-1-111111111-1-1-1-100000000−2i2i2i−2i00000000ii−i−i−i−iii000000
χ25222222-122222-12-12-12-12222-1-122-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022220000-1-1-1-1-1-1-1-100000000000000
χ26222222-122222-12-12-12-12222-1-122-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200001111111100000000000000
χ27222222-122222-12-12-12-1-2-2-2-2-1-122-1-1-1-1-1-1-1-1-122-1-12211-2-211-2-2-1-1-1-111111111000022-2-20000-1-1-1-1111100000000000000
χ28222222-122222-12-12-12-1-2-2-2-2-1-122-1-1-1-1-1-1-1-1-122-1-12211-2-211-2-2-1-1-1-1111111110000-2-22200001111-1-1-1-100000000000000
χ29222222-12-2-2-2-2-12-12-12-122-2-2-1-122-1-1-1-1-1-1-111-2-211-2-2-1-12211-2-21111-1-1-1-1111100002i−2i2i−2i0000−i−iii−i−iii00000000000000
χ30222222-12-2-2-2-2-12-12-12-122-2-2-1-122-1-1-1-1-1-1-111-2-211-2-2-1-12211-2-21111-1-1-1-111110000−2i2i−2i2i0000ii−i−iii−i−i00000000000000
χ31222222-12-2-2-2-2-12-12-12-1-2-222-1-122-1-1-1-1-1-1-111-2-211-2-211-2-2-1-12211111111-1-1-1-100002i−2i−2i2i0000−i−iiiii−i−i00000000000000
χ32222222-12-2-2-2-2-12-12-12-1-2-222-1-122-1-1-1-1-1-1-111-2-211-2-211-2-2-1-12211111111-1-1-1-10000−2i2i2i−2i0000ii−i−i−i−iii00000000000000
χ332222-2-22222-2-222222220000-2-2-2-22-2-2-2-2222-22-22-22-20000000022-2-20000000022-2-20000000000000000000000002-20000
χ342222-2-22222-2-222222220000-2-2-2-22-2-2-2-2222-22-22-22-20000000022-2-200000000-2-222000000000000000000000000-220000
χ352222-2-222-2-22222222220000-2-2-2-22-2-2-2-222-22-22-22-2200000000-2-2220000000022-2-2000000000000000000000000-220000
χ362222-2-222-2-22222222220000-2-2-2-22-2-2-2-222-22-22-22-2200000000-2-22200000000-2-2220000000000000000000000002-20000
χ372-22-22-2222-22-2-2-222-2-2200002-22-2-222-2-22-222-2-2-2-222000000002-22-2000000000000000000000000000000000000002i−2i2i−2i
χ382-22-22-2222-22-2-2-222-2-2200002-22-2-222-2-22-222-2-2-2-222000000002-22-200000000000000000000000000000000000000−2i2i−2i2i
χ392-22-22-222-22-22-2-222-2-2200002-22-2-222-2-22-2-2-22222-2-200000000-22-22000000000000000000000000000000000000002i−2i−2i2i
χ402-22-22-222-22-22-2-222-2-2200002-22-2-222-2-22-2-2-22222-2-200000000-22-2200000000000000000000000000000000000000−2i2i2i−2i
χ412-22-2-22222-2-22-2-222-2-222i−2i2i−2i-22-22-2-2-2222-22-2-22-222-22i−2i2i−2i2i−2i2i−2i2-2-222i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ422-22-2-22222-2-22-2-222-2-22−2i2i−2i2i-22-22-2-2-2222-22-2-22-222-2−2i2i−2i2i−2i2i−2i2i2-2-22−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000
χ432-22-2-2222-222-2-2-222-2-222i−2i−2i2i-22-22-2-2-2222-2-222-22-2-222i−2i2i−2i−2i2i−2i2i-222-22i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000
χ442-22-2-2222-222-2-2-222-2-22−2i2i2i−2i-22-22-2-2-2222-2-222-22-2-22−2i2i−2i2i2i−2i2i−2i-222-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000
χ452-22-2-222-12-2-22-212-1-21-12i−2i2i−2i-221-1111-1-1-112-21-1-22-112i−2i−ii2i−2i−ii-111-1−i−iii−i−iii00000000000000000000−i3i3−i3i33−33−3000000
χ462-22-2-222-12-2-22-212-1-21-12i−2i2i−2i-221-1111-1-1-112-21-1-22-112i−2i−ii2i−2i−ii-111-1−i−iii−i−iii00000000000000000000i3−i3i3−i3−33−33000000
χ472-22-2-222-12-2-22-212-1-21-1−2i2i−2i2i-221-1111-1-1-112-21-1-22-11−2i2ii−i−2i2ii−i-111-1ii−i−iii−i−i00000000000000000000−i3i3−i3i3−33−33000000
χ482-22-2-222-12-2-22-212-1-21-1−2i2i−2i2i-221-1111-1-1-112-21-1-22-11−2i2ii−i−2i2ii−i-111-1ii−i−iii−i−i00000000000000000000i3−i3i3−i33−33−3000000
χ492-22-2-222-1-222-2-212-1-21-12i−2i−2i2i-221-1111-1-1-11-22-112-21-12i−2i−ii−2i2ii−i1-1-11−i−iiiii−i−i000000000000000000003−3−33i3−i3−i3i3000000
χ502-22-2-222-1-222-2-212-1-21-12i−2i−2i2i-221-1111-1-1-11-22-112-21-12i−2i−ii−2i2ii−i1-1-11−i−iiiii−i−i00000000000000000000−333−3−i3i3i3−i3000000
χ512-22-2-222-1-222-2-212-1-21-1−2i2i2i−2i-221-1111-1-1-11-22-112-21-1−2i2ii−i2i−2i−ii1-1-11ii−i−i−i−iii000000000000000000003−3−33−i3i3i3−i3000000
χ522-22-2-222-1-222-2-212-1-21-1−2i2i2i−2i-221-1111-1-1-11-22-112-21-1−2i2ii−i2i−2i−ii1-1-11ii−i−i−i−iii00000000000000000000−333−3i3−i3−i3i3000000
χ532-22-2-22-122-2-221-2-121-2-12i−2i2i−2i1-1-22111-1-1-11-11-221-12-2−ii2i−2i−ii2i−2i-111-1−i−iii−i−iii0000000000003−33−3−i3i3−i3i300000000000000
χ542-22-2-22-122-2-221-2-121-2-12i−2i2i−2i1-1-22111-1-1-11-11-221-12-2−ii2i−2i−ii2i−2i-111-1−i−iii−i−iii000000000000−33−33i3−i3i3−i300000000000000
χ552-22-2-22-122-2-221-2-121-2-1−2i2i−2i2i1-1-22111-1-1-11-11-221-12-2i−i−2i2ii−i−2i2i-111-1ii−i−iii−i−i0000000000003−33−3i3−i3i3−i300000000000000
χ562-22-2-22-122-2-221-2-121-2-1−2i2i−2i2i1-1-22111-1-1-11-11-221-12-2i−i−2i2ii−i−2i2i-111-1ii−i−iii−i−i000000000000−33−33−i3i3−i3i300000000000000
χ572-22-2-22-12-222-21-2-121-2-12i−2i−2i2i1-1-22111-1-1-111-12-2-11-22−ii2i−2ii−i−2i2i1-1-11−i−iiiii−i−i000000000000−i3i3i3−i3−333−300000000000000
χ582-22-2-22-12-222-21-2-121-2-12i−2i−2i2i1-1-22111-1-1-111-12-2-11-22−ii2i−2ii−i−2i2i1-1-11−i−iiiii−i−i000000000000i3−i3−i3i33−3−3300000000000000
χ592-22-2-22-12-222-21-2-121-2-1−2i2i2i−2i1-1-22111-1-1-111-12-2-11-22i−i−2i2i−ii2i−2i1-1-11ii−i−i−i−iii000000000000−i3i3i3−i33−3−3300000000000000
χ602-22-2-22-12-222-21-2-121-2-1−2i2i2i−2i1-1-22111-1-1-111-12-2-11-22i−i−2i2i−ii2i−2i1-1-11ii−i−i−i−iii000000000000i3−i3−i3i3−333−300000000000000
χ61444444-2-24444-2-2-2-2-2-214444-2-2-2-21111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-21-4-4-4-4-2-2-2-21111111-2-2-2-2-2-2-2-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ63444444-2-2-4-4-4-4-2-2-2-2-2-2144-4-4-2-2-2-2111111122222222-2-2-2-22222-1-1-1-11111-1-1-1-10000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-21-4-444-2-2-2-21111111222222222222-2-2-2-2-1-1-1-1-1-1-1-111110000000000000000000000000000000000
χ654444-4-44-244-4-44-24-24-2-20000-4-422-22222-2-24-4-224-4-2200000000-2-222000000000000000000000000000000000000000000
χ664444-4-44-2-4-4444-24-24-2-20000-4-422-22222-2-2-442-2-442-20000000022-2-2000000000000000000000000000000000000000000
χ674444-4-4-2444-4-4-24-24-24-2000022-4-4-22222-2-2-224-4-224-400000000-2-222000000000000000000000000000000000000000000
χ684444-4-4-24-4-444-24-24-24-2000022-4-4-22222-2-22-2-442-2-440000000022-2-2000000000000000000000000000000000000000000
χ694444-4-4-2-244-4-4-2-2-2-2-2-21000022221-1-1-1-111-22-22-22-220000000011-1-13-33-33-33-30000000000000000000000000000000000
χ704444-4-4-2-244-4-4-2-2-2-2-2-21000022221-1-1-1-111-22-22-22-220000000011-1-1-33-33-33-330000000000000000000000000000000000
χ714444-4-4-2-2-4-444-2-2-2-2-2-21000022221-1-1-1-1112-22-22-22-200000000-1-1113-33-3-33-330000000000000000000000000000000000
χ724444-4-4-2-2-4-444-2-2-2-2-2-21000022221-1-1-1-1112-22-22-22-200000000-1-111-33-333-33-30000000000000000000000000000000000
χ7344-4-400440000-4-4-4-444400000000-40000-440000000000000000000000000000004i−4i000000000000000000000000000000
χ7444-4-400440000-4-4-4-444400000000-40000-44000000000000000000000000000000−4i4i000000000000000000000000000000
χ754-44-44-44-24-44-4-424-2-42-200004-4-222-2-222-224422-4-4-2-200000000-22-22000000000000000000000000000000000000000000
χ764-44-44-44-2-44-44-424-2-42-200004-4-222-2-222-22-4-4-2-24422000000002-22-2000000000000000000000000000000000000000000
χ774-44-44-4-244-44-42-4-242-4-20000-224-42-2-222-22-2-2-4-4224400000000-22-22000000000000000000000000000000000000000000
χ784-44-44-4-24-44-442-4-242-4-20000-224-42-2-222-222244-2-2-4-4000000002-22-2000000000000000000000000000000000000000000
χ794-44-44-4-2-24-44-422-2-22210000-22-22-111-1-11-1-2-22222-2-2000000001-11-13i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000
χ804-44-44-4-2-24-44-422-2-22210000-22-22-111-1-11-1-2-22222-2-2000000001-11-1−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000
χ814-44-44-4-2-2-44-4422-2-22210000-22-22-111-1-11-122-2-2-2-22200000000-11-113i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ824-44-44-4-2-2-44-4422-2-22210000-22-22-111-1-11-122-2-2-2-22200000000-11-11−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
χ834-44-4-44-2-24-4-4422-2-22214i−4i4i−4i2-22-2-1-1-1111-1-222-22-2-22−2i2i−2i2i−2i2i−2i2i1-1-11ii−i−iii−i−i0000000000000000000000000000000000
χ844-44-4-44-2-24-4-4422-2-2221−4i4i−4i4i2-22-2-1-1-1111-1-222-22-2-222i−2i2i−2i2i−2i2i−2i1-1-11−i−iii−i−iii0000000000000000000000000000000000
χ854-44-4-44-2-2-444-422-2-22214i−4i−4i4i2-22-2-1-1-1111-12-2-22-222-2−2i2i−2i2i2i−2i2i−2i-111-1ii−i−i−i−iii0000000000000000000000000000000000
χ864-44-4-44-2-2-444-422-2-2221−4i4i4i−4i2-22-2-1-1-1111-12-2-22-222-22i−2i2i−2i−2i2i−2i2i-111-1−i−iiiii−i−i0000000000000000000000000000000000
χ874-4-440044000044-4-4-4-440000000040000-4-400000000000000000000000000004i−4i00000000000000000000000000000000
χ884-4-440044000044-4-4-4-440000000040000-4-40000000000000000000000000000−4i4i00000000000000000000000000000000
χ8988-8-8008-40000-84-848-4-400000000400004-400000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-4800004-84-8-48-400000000400004-400000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-400004444-4-4200000000-26-66-6-2200000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-400004444-4-4200000000-2-66-66-2200000000000000000000000000000000000000000000000000000000000000
χ938-8-88008-400008-4-84-84-400000000-400004400000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-480000-484-84-8-400000000-400004400000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-40000-4-4444420000000026-6-66-2-200000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-40000-4-444442000000002-666-6-2-200000000000000000000000000000000000000000000000000000000000000

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