Finite Group Databasebeta

← Group #11778042

Character table — Group #11778042

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222222222224444444444444444448888888888888888888888888888888888888888881616161616161616363672727272727272
order12222233336666666666664466666666121212121212121222246666666666666666881212121224242424242424242424242424242424666612121212444444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-111-1-1
χ4111111111111111111111111111111111111111111-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111-11-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11-1111-1-1
χ92222222222222222222222-2-222222222-2-2-2-2-2-2-2-20000000000000000000000-2-2-2-2000000000000000000000000220-200000
χ102222222222222222222222-2-222222222-2-2-2-2-2-2-2-20000000000000000000000-2-2-2-2000000000000000000000000-2-20200000
χ112222222-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-1000000000
χ122222222-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-22-1-1-1-2-2-2-2111111111111-2111-2111000000000
χ132222222-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-2-222-2-2-2-2111111111111-2-22-1-1-1-2-2-2-21111111111112-1-1-12-1-1-1000000000
χ142222222-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2111-2111000000000
χ15222222-12-1-1-12-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-122-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-1-1000000000
χ16222222-12-1-1-12-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-122-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-12-1-11111-2-2-2-2111111111-2111-211000000000
χ17222222-12-1-1-12-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-2-2221111-2-2-2-211111111-2-2-12-1-11111-2-2-2-211111111-12-1-1-12-1-1000000000
χ18222222-12-1-1-12-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-21111-2-2-2-21111111122-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11-2111-211000000000
χ19222222-1-12-1-1-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-12222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-12-1000000000
χ20222222-1-12-1-1-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-122-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-1-12-111111111-2-2-2-2111111-2111-21000000000
χ21222222-1-12-1-1-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1-2-22211111111-2-2-2-21111-2-2-1-12-111111111-2-2-2-21111-1-12-1-1-12-1000000000
χ22222222-1-12-1-1-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-211111111-2-2-2-2111122-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-111-2111-21000000000
χ23222222-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-12000000000
χ24222222-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12222-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-1-1-12111111111111-2-2-2-2111-2111-2000000000
χ25222222-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-2-222111111111111-2-2-2-2-2-2-1-1-12111111111111-2-2-2-2-1-1-12-1-1-12000000000
χ26222222-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2111111111111-2-2-2-222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222111-2111-2000000000
χ272222-2-222222222222222222-2-2-2-2-2-2-2-2-222222222002-2000000000000000000-2-2-2-200000000000000002222-2-2-2-2000000000
χ282222-2-222222222222222222-2-2-2-2-2-2-2-2-22222222200-22000000000000000000-2-2-2-20000000000000000-2-2-2-22222000000000
χ292222-2-22222222222222222-22-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000022220000000000000000000000000020-20000
χ302222-2-22222222222222222-22-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000222200000000000000000000000000-2020000
χ312222-2-22-1-1-12-1-1-122-1-1-1-1-1-12-2-2-211111122-1-1-1-1-1-1002-20000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300-21110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32-1-1-1-2111000000000
χ322222-2-22-1-1-12-1-1-122-1-1-1-1-1-12-2-2-211111122-1-1-1-1-1-1002-20000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300-21110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32-1-1-1-2111000000000
χ332222-2-22-1-1-12-1-1-122-1-1-1-1-1-12-2-2-211111122-1-1-1-1-1-100-220000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300-21110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-21112-1-1-1000000000
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χ352222-2-2-12-1-1-12-1-1-1-122-1-1-1-12-211-2-21111-1-122-1-1-1-1002-2−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3001-211−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3-12-1-11-211000000000
χ362222-2-2-12-1-1-12-1-1-1-122-1-1-1-12-211-2-21111-1-122-1-1-1-1002-2i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3001-211i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3-12-1-11-211000000000
χ372222-2-2-12-1-1-12-1-1-1-122-1-1-1-12-211-2-21111-1-122-1-1-1-100-22−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3001-211i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i31-211-12-1-1000000000
χ382222-2-2-12-1-1-12-1-1-1-122-1-1-1-12-211-2-21111-1-122-1-1-1-100-22i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3001-211−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i31-211-12-1-1000000000
χ392222-2-2-1-12-1-1-12-1-1-1-1-122-1-12-21111-2-211-1-1-1-122-1-1002-2−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i30011-21−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i3-1-12-111-21000000000
χ402222-2-2-1-12-1-1-12-1-1-1-1-122-1-12-21111-2-211-1-1-1-122-1-1002-2i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i30011-21i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i3-1-12-111-21000000000
χ412222-2-2-1-12-1-1-12-1-1-1-1-122-1-12-21111-2-211-1-1-1-122-1-100-22−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i30011-21i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i311-21-1-12-1000000000
χ422222-2-2-1-12-1-1-12-1-1-1-1-122-1-12-21111-2-211-1-1-1-122-1-100-22i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i30011-21−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i311-21-1-12-1000000000
χ432222-2-2-1-1-12-1-1-12-1-1-1-1-1-1222-2111111-2-2-1-1-1-1-1-122002-2−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3000000111-2−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000-1-1-12111-2000000000
χ442222-2-2-1-1-12-1-1-12-1-1-1-1-1-1222-2111111-2-2-1-1-1-1-1-122002-2i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3000000111-2i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000-1-1-12111-2000000000
χ452222-2-2-1-1-12-1-1-12-1-1-1-1-1-1222-2111111-2-2-1-1-1-1-1-12200-22−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3000000111-2i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000111-2-1-1-12000000000
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χ472-22-22-22222-2-2-2-22-22-22-22-2002-22-22-22-200000000000000000000000000002−200002−22−22−22−22−22−22−22−2000000002i−2i00000−i2i2
χ482-22-22-22222-2-2-2-22-22-22-22-2002-22-22-22-200000000000000000000000000002−200002−22−22−22−22−22−22−22−200000000−2i2i00000i2−i2
χ492-22-22-22222-2-2-2-22-22-22-22-2002-22-22-22-20000000000000000000000000000−220000−22−22−22−22−22−22−22−22000000002i−2i00000i2−i2
χ502-22-22-22222-2-2-2-22-22-22-22-2002-22-22-22-20000000000000000000000000000−220000−22−22−22−22−22−22−22−2200000000−2i2i00000−i2i2
χ514444444-2-2-24-2-2-244-2-2-2-2-2-2-4-444-2-2-2-2-2-2-4-42222220000000000000000000000-4222000000000000000000000000000000000
χ52444444-24-2-2-24-2-2-2-244-2-2-2-2-4-4-2-244-2-2-2-222-4-4222200000000000000000000002-422000000000000000000000000000000000
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χ884-4-4400-2-24-222-422-22-2-442-20000000000−2i32i32i3−2i300−2i32i32-200−1−i31+i3−1+i31−i3−1+i31−i3−1−i31+i32-22-2−1−i31+i3−1+i31−i3000000000000000000000000000000000000000
χ894-4-4400-2-24-222-422-22-2-442-20000000000−2i32i32i3−2i300−2i32i3-22001+i3−1−i31−i3−1+i31−i3−1+i31+i3−1−i3-22-221+i3−1−i31−i3−1+i3000000000000000000000000000000000000000
χ904-4-4400-2-24-222-422-22-2-442-200000000002i3−2i3−2i32i3002i3−2i32-200−1+i31−i3−1−i31+i3−1−i31+i3−1+i31−i32-22-2−1+i31−i3−1−i31+i3000000000000000000000000000000000000000
χ914-4-4400-2-24-222-422-22-2-442-200000000002i3−2i3−2i32i3002i3−2i3-22001−i3−1+i31+i3−1−i31+i3−1−i31−i3−1+i3-22-221−i3−1+i31+i3−1−i3000000000000000000000000000000000000000
χ924-4-4400-2-2-24222-42-22-22-2-440000000000−2i32i3−2i32i32i3−2i3002-200−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i3−1+i31−i3−1−i31+i32-22-2000000000000000000000000000000000000000
χ934-4-4400-2-2-24222-42-22-22-2-440000000000−2i32i3−2i32i32i3−2i300-22001+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i31−i3−1+i31+i3−1−i3-22-22000000000000000000000000000000000000000
χ944-4-4400-2-2-24222-42-22-22-2-4400000000002i3−2i32i3−2i3−2i32i3002-200−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i3−1−i31+i3−1+i31−i32-22-2000000000000000000000000000000000000000
χ954-4-4400-2-2-24222-42-22-22-2-4400000000002i3−2i32i3−2i3−2i32i300-22001−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i31+i3−1−i31−i3−1+i3-22-22000000000000000000000000000000000000000
χ9688-8-8008-4-4-48-4-4-4-8-844444400000000000000000000000000000000000000000000000000000000000000000000000000000
χ9788-8-800-48-4-4-48-4-444-8-8444400000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-48-4-4-48-44444-8-84400000000000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-4-48-4-4-48444444-8-800000000000000000000000000000000000000000000000000000000000000000000000000000

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