Extensions 1→N→G→Q→1 with N=He34Q8 and Q=C2

Direct product G=N×Q with N=He34Q8 and Q=C2
dρLabelID
C2×He34Q8144C2xHe3:4Q8432,384

Semidirect products G=N:Q with N=He34Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
He34Q81C2 = He35SD16φ: C2/C1C2 ⊆ Out He34Q87212+He3:4Q8:1C2432,85
He34Q82C2 = He39SD16φ: C2/C1C2 ⊆ Out He34Q8726He3:4Q8:2C2432,193
He34Q83C2 = C3⋊S3⋊Dic6φ: C2/C1C2 ⊆ Out He34Q87212-He3:4Q8:3C2432,294
He34Q84C2 = C12⋊S3⋊S3φ: C2/C1C2 ⊆ Out He34Q87212+He3:4Q8:4C2432,295
He34Q85C2 = C62.16D6φ: C2/C1C2 ⊆ Out He34Q8726He3:4Q8:5C2432,391
He34Q86C2 = Q8×He3⋊C2φ: C2/C1C2 ⊆ Out He34Q8726He3:4Q8:6C2432,394
He34Q87C2 = He37SD16φ: C2/C1C2 ⊆ Out He34Q8726He3:4Q8:7C2432,175
He34Q88C2 = C62.47D6φ: trivial image726He3:4Q8:8C2432,387

Non-split extensions G=N.Q with N=He34Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
He34Q8.1C2 = He33Q16φ: C2/C1C2 ⊆ Out He34Q814412-He3:4Q8.1C2432,86
He34Q8.2C2 = He37Q16φ: C2/C1C2 ⊆ Out He34Q81446He3:4Q8.2C2432,197
He34Q8.3C2 = He35Q16φ: C2/C1C2 ⊆ Out He34Q81446He3:4Q8.3C2432,177

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