Finite Group Databasebeta

← #72246980

Subgroups — #72246980

Order 3024.

540 conjugacy classes of subgroups; only the 86 normal subgroups are shown.

normal subgroups only

This group has 540 conjugacy classes of subgroups — too many to draw. Only its 86 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×(C3⋊AGL(1,𝔽7))⋊D3C211yesmaximal, characteristic, complemented
2C2×D3×C3⋊AGL(1,𝔽7)C211yesmaximal, characteristic, complemented
3#92689⋊C3C211yesmaximal, characteristic, complemented
4ΓL(1,𝔽8)×#626C211yesmaximal, characteristic, complemented
5#13094716C211yesmaximal, characteristic, complemented
6C3×#4247⋊C3C211yesmaximal, characteristic, complemented
7C3×(C3⋊AGL(1,𝔽7))⋊C4C211yesmaximal, characteristic, complemented
8#11759430C311yesmaximal, characteristic, complemented
9#66694⋊C3—31nomaximal
10D12×AGL(1,𝔽7)—31nomaximal
11C2×C3⋊(C3⋊AGL(1,𝔽7))C2211yescharacteristic, complemented
12C2×C3⋊D3×ΓL(1,𝔽8)C2211yescharacteristic, complemented
13C2×C3×C3⋊AGL(1,𝔽7)C2211yescharacteristic
14C2×C3×C3⋊AGL(1,𝔽7)C2211yescharacteristic, complemented
15C2×C3×D3×ΓL(1,𝔽8)C2211yescharacteristic, complemented
16(C3⋊AGL(1,𝔽7))⋊D3—22no—
17D3×C3⋊AGL(1,𝔽7)—22no—
18C3×Dic3×ΓL(1,𝔽8)C2211yescharacteristic, complemented
19C32×ΓL(1,𝔽8)⋊C4C2211yescharacteristic, complemented
20C2×(C3⋊D3)⋊D7C2×C311yescharacteristic, complemented
21C2×D3×D21C2×C311yescharacteristic, complemented
22C22×C3⋊AGL(1,𝔽7)—31no—
23C2×D3×AGL(1,𝔽7)—31no—
24C2×D3×AGL(1,𝔽7)—31no—
25C2×D3×AGL(1,𝔽7)—31no—
26#92689C2×C311yescharacteristic, complemented
27C7×#626C2×C311yescharacteristic, complemented
28#92678C2×C311yescharacteristic, complemented
29C3×#4247C2×C311yescharacteristic, complemented
30C3×D21⋊C4C2×C311yescharacteristic, complemented
31C4⋊(C3⋊AGL(1,𝔽7))—31no—
32ΓL(1,𝔽8)×#67—31no—
33ΓL(1,𝔽8)×D12—31no—
34C3×(C22⋊D7)⋊C3—31no—
35C3×C4×AGL(1,𝔽7)—31no—
36#4247⋊C3—21no—
37#4247⋊C3—31no—
38#4247⋊C3—31no—
39#4247⋊C3—61no—
40#4247⋊C3D311yescharacteristic, complemented
41#4246⋊C3—31no—
42(C3⋊AGL(1,𝔽7))⋊C4—21no—
43(C3⋊AGL(1,𝔽7))⋊C4D311yescharacteristic, complemented
44C3×D3×D12—71nomaximal, Hall
45C2×C32×ΓL(1,𝔽8)C2311yescharacteristic
46C3⋊(C3⋊AGL(1,𝔽7))—21no—
47C3⋊D3×ΓL(1,𝔽8)—21no—
48C3×C3⋊AGL(1,𝔽7)—21no—
49C3×C3⋊AGL(1,𝔽7)D412yescomplemented
50C3×D3×ΓL(1,𝔽8)—21no—
51#66694—31no—
52D7×D12—31no—
53D4×AGL(1,𝔽7)—91no—
54C2×C3⋊D21C22×C311yescharacteristic, complemented
55C2×C7×C3⋊D3C22×C311yescharacteristic, complemented
56C2×C3×D21C22×C311yescharacteristic
57C2×C3×D21C22×C311yescharacteristic, complemented
58C2×C3×D3×C7C22×C311yescharacteristic, complemented
59C22×C3×ΓL(1,𝔽8)—31no—
60(C3⋊D3)⋊D7—22no—
61D3×D21—22no—
62C2×C3⋊AGL(1,𝔽7)—21no—
63C2×C3⋊AGL(1,𝔽7)—21no—
64C2×C3⋊AGL(1,𝔽7)—31no—
65C2×C3⋊AGL(1,𝔽7)—31no—
66C2×C3⋊AGL(1,𝔽7)—61no—
67C2×C3⋊AGL(1,𝔽7)—62no—
68C2×C3⋊AGL(1,𝔽7)C2×D311yescharacteristic
69C2×C3⋊AGL(1,𝔽7)C2×D311yescharacteristic, complemented
70C2×D3×ΓL(1,𝔽8)—21no—
71C2×D3×ΓL(1,𝔽8)—31no—
72C2×D3×ΓL(1,𝔽8)—31no—
73C2×D3×ΓL(1,𝔽8)—61no—
74C2×D3×ΓL(1,𝔽8)C2×D311yescharacteristic, complemented
75C2×C3×AGL(1,𝔽7)—31no—
76C2×C3×AGL(1,𝔽7)—31no—
77D3×AGL(1,𝔽7)—62no—
78D3×AGL(1,𝔽7)—62no—
79D3×AGL(1,𝔽7)—62no—
80C3×C7×Dic3C22×C311yescharacteristic, complemented
81C32×Dic7C22×C311yescharacteristic, complemented
82C3×C4×ΓL(1,𝔽8)—31no—
83Dic3×ΓL(1,𝔽8)—21no—
84Dic3×ΓL(1,𝔽8)C2×D311yescharacteristic, complemented
85C3×ΓL(1,𝔽8)⋊C4—21no—
86C3×ΓL(1,𝔽8)⋊C4—21no—
87C3×ΓL(1,𝔽8)⋊C4—21no—
88C3×ΓL(1,𝔽8)⋊C4—41no—
89C3×ΓL(1,𝔽8)⋊C4C2×D311yescharacteristic, complemented
90C3×ΓL(1,𝔽8)⋊C4C2×D311yescharacteristic, complemented
91C2×C3×D32—71no—
92C2×C3×D32—71no—
93C3×C4⋊(C3⋊D3)—71no—
94C32×D12—71no—
95C32×C4×D3—71no—
96C3×#626—71no—
97C3×#626—141no—
98C32×ΓL(1,𝔽8)C2×D411yescharacteristic, complemented, Hall
99C22×D21—31no—
100C2×D3×D7—31no—
101C2×D3×D7—31no—
102C2×D3×D7—31no—
103C22×AGL(1,𝔽7)—91no—
104C22×AGL(1,𝔽7)—91no—
105D84—31no—
106C7×#67—31no—
107C7×D12—31no—
108C3×C22⋊D7—31no—
109C3×C4×D7—31no—
110D4×ΓL(1,𝔽8)—91no—
111#4247—31no—
112#4247—31no—
113#4247—61no—
114#4247C3×D311yescharacteristic, complemented
115#4246—31no—
116D21⋊C4C3×D311yescharacteristic, complemented
117(C22⋊D7)⋊C3—31no—
118(C22⋊D7)⋊C3—61no—
119(C22⋊D7)⋊C3—91no—
120C4⋊AGL(1,𝔽7)—91no—
121C4×AGL(1,𝔽7)—31no—
122C4×AGL(1,𝔽7)—61no—
123C3×D3×D4—211no—
124C2×C3×D12—211no—
125D3×D12—71no—
126C2×C32×C7C23×C311yescharacteristic
127C3⋊D21—21no—
128C7×C3⋊D3—21no—
129C3×D21—21no—
130C3×D21C3×D412yescomplemented
131C3×D3×C7—21no—
132C2×C3×ΓL(1,𝔽8)—21no—
133C2×C3×ΓL(1,𝔽8)—21no—
134C2×C3×ΓL(1,𝔽8)—21no—
135C2×C3×ΓL(1,𝔽8)—41no—
136C2×C3×ΓL(1,𝔽8)—61no—
137C2×C3×ΓL(1,𝔽8)C22×D311yescharacteristic
138C2×C3×ΓL(1,𝔽8)C22×D311yescharacteristic
139C3⋊AGL(1,𝔽7)—22no—
140C3⋊AGL(1,𝔽7)—21no—
141C3⋊AGL(1,𝔽7)—41no—
142C3⋊AGL(1,𝔽7)—61no—
143C3⋊AGL(1,𝔽7)—61no—
144C3⋊AGL(1,𝔽7)—121no—
145C3⋊AGL(1,𝔽7)D1212yescomplemented
146D3×ΓL(1,𝔽8)—21no—
147D3×ΓL(1,𝔽8)—41no—
148D3×ΓL(1,𝔽8)—61no—
149D3×ΓL(1,𝔽8)—61no—
150D3×ΓL(1,𝔽8)—121no—
151C3×AGL(1,𝔽7)—32no—
152C3×AGL(1,𝔽7)—61no—
153D4×D7—91noHall
154C2×C3×C3⋊D3—71no—
155C2×C3×C3⋊D3—141no—
156C2×C32×D3—71no—
157C2×C32×D3—71no—
158C2×C32×D3—141no—
159C3×D32—142no—
160C3×D32—142no—
161C33×C4—71no—
162C32×Dic3—141no—
163C22×C3×C7—31no—
164C2×D21—31no—
165C2×D21—31no—
166C2×D21—61no—
167C2×D21—62no—
168C2×D21C2×C3×D311yescharacteristic
169C2×D21C2×C3×D311yescharacteristic, complemented
170C2×D3×C7—31no—
171C2×D3×C7—31no—
172C2×D3×C7—61no—
173C2×D3×C7C2×C3×D311yescharacteristic, complemented
174C2×C3×D7—31no—
175C2×C3×D7—31no—
176C22×ΓL(1,𝔽8)—31no—
177C22×ΓL(1,𝔽8)—61no—
178C22×ΓL(1,𝔽8)—91no—
179D3×D7—62no—
180D3×D7—62no—
181D3×D7—62no—
182C2×AGL(1,𝔽7)—31no—
183C2×AGL(1,𝔽7)—31no—
184C2×AGL(1,𝔽7)—61no—
185C2×AGL(1,𝔽7)—61no—
186C2×AGL(1,𝔽7)—91no—
187C2×AGL(1,𝔽7)—182no—
188C2×AGL(1,𝔽7)—182no—
189C3×C4×C7—31no—
190C3×Dic7—21no—
191C3×Dic7C2×C3×D311yescharacteristic, complemented
192C3×Dic7C2×C3×D311yescharacteristic, complemented
193C7×Dic3C2×C3×D311yescharacteristic, complemented
194C4×ΓL(1,𝔽8)—31no—
195C4×ΓL(1,𝔽8)—61no—
196ΓL(1,𝔽8)⋊C4—21no—
197ΓL(1,𝔽8)⋊C4—21no—
198ΓL(1,𝔽8)⋊C4—41no—
199ΓL(1,𝔽8)⋊C4D3211yescharacteristic, complemented
200C22×C3×D3—211no—
201C22×C3×D3—211no—
202C22×C3×D3—211no—
203C22×C3×D3—211no—
204C2×D32—71no—
205C2×D32—71no—
206C32×D4—211no—
207C2×C32×C4—211no—
208C4⋊(C3⋊D3)—71no—
209C3×#67—211no—
210C3×#67—421no—
211C3×D12—71no—
212C3×D12—71no—
213C3×D12—141no—
214C3×D12—211no—
215C3×D12—211no—
216C3×D12—211no—
217C3×D12—211no—
218C3×D12—421no—
219C3×C4×D3—71no—
220C3×C4×D3—71no—
221C3×C4×D3—141no—
222#626—71no—
223#626AGL(1,𝔽7)11yescharacteristic, complemented
224C32×C7C2×C3×D411yescharacteristic, complemented
225C3×ΓL(1,𝔽8)—21no—
226C3×ΓL(1,𝔽8)—21no—
227C3×ΓL(1,𝔽8)—21no—
228C3×ΓL(1,𝔽8)—41no—
229C3×ΓL(1,𝔽8)C2×D1211yescharacteristic, complemented
230C3×ΓL(1,𝔽8)D3×D411yescharacteristic, complemented
231C22×D7—91no—
232C22×D7—91no—
233C7×D4—91no—
234C22⋊D7—31no—
235C22⋊D7—91no—
236D28—91no—
237C4×D7—31no—
238C2×C33—141no—
239C3×C3⋊D3—141no—
240C3×C3⋊D3—281no—
241C32×D3—72no—
242C32×D3—141no—
243C32×D3—281no—
244C2×C3×D4—631no—
245D3×D4—211no—
246C2×D12—211no—
247C2×C3×C7—21no—
248C2×C3×C7—61no—
249C2×C3×C7C22×C3×D311yescharacteristic
250C2×C3×C7C22×C3×D311yescharacteristic
251D21—21no—
252D21—61no—
253D21—61no—
254D21—121no—
255D21C3×D1212yescomplemented
256C3×D7—32no—
257C3×D7—61no—
258D3×C7—21no—
259D3×C7—61no—
260D3×C7—61no—
261D3×C7—121no—
262C2×ΓL(1,𝔽8)—21no—
263C2×ΓL(1,𝔽8)—21no—
264C2×ΓL(1,𝔽8)—41no—
265C2×ΓL(1,𝔽8)—61no—
266C2×ΓL(1,𝔽8)—121no—
267C2×ΓL(1,𝔽8)—181no—
268C2×ΓL(1,𝔽8)C2×D3211yescharacteristic
269AGL(1,𝔽7)—32no—
270AGL(1,𝔽7)—62no—
271AGL(1,𝔽7)—61no—
272AGL(1,𝔽7)—121no—
273AGL(1,𝔽7)—181no—
274C22×C32—211no—
275C22×C32—211no—
276C22×C32—421no—
277C2×C3⋊D3—71no—
278C2×C3⋊D3C2×AGL(1,𝔽7)11yescharacteristic, complemented
279C2×C3×D3—71no—
280C2×C3×D3—71no—
281C2×C3×D3—71no—
282C2×C3×D3—71no—
283C2×C3×D3—71no—
284C2×C3×D3—141no—
285C2×C3×D3—141no—
286C2×C3×D3—211no—
287C2×C3×D3—211no—
288C2×C3×D3—211no—
289C2×C3×D3—281no—
290C2×C3×D3—421no—
291C2×C3×D3—421no—
292C2×C3×D3—421no—
293C2×C3×D3—422no—
294C2×C3×D3—422no—
295C2×C3×D3—422no—
296C2×C3×D3—422no—
297C2×C3×D3C2×AGL(1,𝔽7)11yescharacteristic, complemented
298D32—142no—
299D32—142no—
300C32×C4—71no—
301C32×C4—71no—
302C32×C4—71no—
303C32×C4—141no—
304C32×C4—141no—
305C32×C4—141no—
306C32×C4—211no—
307C32×C4—281no—
308C3×Dic3—141no—
309C3×Dic3—281no—
310C3×Dic3C2×AGL(1,𝔽7)11yescharacteristic, complemented
311C22×C7—31no—
312C22×C7—91no—
313C2×D7—31no—
314C2×D7—31no—
315C2×D7—91no—
316C2×D7—182no—
317C2×D7—182no—
318C4×C7—31no—
319Dic7C3×D3211yescharacteristic, complemented
320C33—141noSylow
321C23×C3—631no—
322C23×C3—631no—
323C22×D3—211no—
324C22×D3—211no—
325C22×D3—211no—
326C22×D3—211no—
327C3×D4—211no—
328C3×D4—211no—
329C3×D4—421no—
330C3×D4—631no—
331C3×D4—631no—
332C3×D4—1261no—
333C2×C3×C4—211no—
334C2×C3×C4—211no—
335C2×C3×C4—421no—
336#67—31no—
337#67—211no—
338D12—31no—
339D12—71no—
340D12—211no—
341D12—211no—
342D12—211no—
343D12—421no—
344C4×D3—71no—
345C3×C7—21no—
346C3×C7C2×C3×D1211yescharacteristic, complemented
347C3×C7C3×D3×D411yescharacteristic, complemented
348ΓL(1,𝔽8)—21no—
349ΓL(1,𝔽8)—21no—
350ΓL(1,𝔽8)—41no—
351ΓL(1,𝔽8)D3×D1211yescharacteristic, complemented
352C2×C32—71no—
353C2×C32—141no—
354C2×C32—141no—
355C2×C32—212no—
356C2×C32—281no—
357C2×C32—281no—
358C2×C32—421no—
359C2×C32—561no—
360C2×C32—841no—
361C2×C32C22×AGL(1,𝔽7)11yescharacteristic
362C3⋊D3—21no—
363C3⋊D3—141no—
364C3×D3—21no—
365C3×D3—72no—
366C3×D3—72no—
367C3×D3—141no—
368C3×D3—142no—
369C3×D3—141no—
370C3×D3—141no—
371C3×D3—281no—
372C3×D3—281no—
373C3×D3—421no—
374C3×D3—421no—
375C3×D3—421no—
376C3×D3—841no—
377C3×D3—841no—
378C3×D3—841no—
379C2×D4—631noSylow
380C2×C7—61no—
381C2×C7—181no—
382C2×C7C2×C3×D3211yescharacteristic
383D7—32no—
384D7—61no—
385D7—181no—
386C22×C3—31no—
387C22×C3—211no—
388C22×C3—211no—
389C22×C3—211no—
390C22×C3—211no—
391C22×C3—421no—
392C22×C3—421no—
393C22×C3—421no—
394C22×C3—631no—
395C22×C3—841no—
396C22×C3—1261no—
397C22×C3—1262no—
398C22×C3—1262no—
399C2×D3—31no—
400C2×D3—31no—
401C2×D3—61no—
402C2×D3—71no—
403C2×D3—71no—
404C2×D3—211no—
405C2×D3—211no—
406C2×D3—421no—
407C2×D3—422no—
408C2×D3—422no—
409C2×D3—422no—
410C2×D3—422no—
411C2×D3D3×AGL(1,𝔽7)11yescharacteristic, complemented
412C3×C4—31no—
413C3×C4—71no—
414C3×C4—71no—
415C3×C4—71no—
416C3×C4—141no—
417C3×C4—141no—
418C3×C4—141no—
419C3×C4—281no—
420C3×C4—421no—
421C3×C4—841no—
422Dic3D3×AGL(1,𝔽7)11yescharacteristic, complemented
423C32—71no—
424C32—141no—
425C32—141no—
426C32—281no—
427C32—281no—
428C32—561no—
429C32D4×AGL(1,𝔽7)11yescharacteristic, complemented
430C23—631no—
431C23—631no—
432D4—91no—
433D4—211no—
434D4—631no—
435D4—631no—
436C2×C4—211no—
437C7C3×D3×D1211yescharacteristic, complemented, Sylow
438C2×C3—21no—
439C2×C3—61no—
440C2×C3—141no—
441C2×C3—212no—
442C2×C3—212no—
443C2×C3—281no—
444C2×C3—281no—
445C2×C3—422no—
446C2×C3—421no—
447C2×C3—421no—
448C2×C3—561no—
449C2×C3—841no—
450C2×C3—841no—
451C2×C3—841no—
452C2×C3—1261no—
453C2×C3—2521no—
454C2×C3C2×D3×AGL(1,𝔽7)11yescharacteristic
455C2×C3C2×D3×AGL(1,𝔽7)11yescharacteristic
456D3—21no—
457D3—61no—
458D3—61no—
459D3—72no—
460D3—121no—
461D3—141no—
462D3—421no—
463D3—421no—
464D3—841no—
465C22—31no—
466C22—91no—
467C22—211no—
468C22—211no—
469C22—631no—
470C22—1262no—
471C22—1262no—
472C4—31no—
473C4—71no—
474C3—21no—
475C3—141no—
476C3—281no—
477C3—281no—
478C3—561no—
479C3D12×AGL(1,𝔽7)11yescharacteristic, complemented
480C3#66694⋊C311yescharacteristic, complemented
481C2—61no—
482C2—181no—
483C2—212no—
484C2—421no—
485C2—1261no—
486C2D32×AGL(1,𝔽7)11yescharacteristic
subgroupG/H
center, Frattini, hypercenterC2D32×AGL(1,𝔽7)
commutator, Fitting, socle, cosocleC2×C32×C7C23×C3
hypocenterC32×C7C2×C3×D4
LCSG ▷ C2×C32×C7 ▷ C32×C7
UCSC1 ◁ C2

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×(C3⋊AGL(1,𝔽7))⋊D3C2semidirect
2. C2×D3×C3⋊AGL(1,𝔽7)C2semidirect
3. #92689⋊C3C2semidirect
4. ΓL(1,𝔽8)×#626C2semidirect
5. #13094716C2semidirect
6. C3×#4247⋊C3C2semidirect
7. C3×(C3⋊AGL(1,𝔽7))⋊C4C2semidirect
8. #11759430C3semidirect
11. C2×C3⋊(C3⋊AGL(1,𝔽7))C22semidirect
12. C2×C3⋊D3×ΓL(1,𝔽8)C22semidirect
14. C2×C3×C3⋊AGL(1,𝔽7)C22semidirect
15. C2×C3×D3×ΓL(1,𝔽8)C22semidirect
18. C3×Dic3×ΓL(1,𝔽8)C22semidirect
19. C32×ΓL(1,𝔽8)⋊C4C22semidirect
20. C2×(C3⋊D3)⋊D7C2×C3semidirect
21. C2×D3×D21C2×C3semidirect
26. #92689C2×C3semidirect
27. C7×#626C2×C3semidirect
28. #92678C2×C3semidirect
29. C3×#4247C2×C3semidirect
30. C3×D21⋊C4C2×C3semidirect
40. #4247⋊C3D3semidirect
43. (C3⋊AGL(1,𝔽7))⋊C4D3semidirect
49. C3×C3⋊AGL(1,𝔽7)D4semidirect
54. C2×C3⋊D21C22×C3semidirect
55. C2×C7×C3⋊D3C22×C3semidirect
57. C2×C3×D21C22×C3semidirect
58. C2×C3×D3×C7C22×C3semidirect
69. C2×C3⋊AGL(1,𝔽7)C2×D3semidirect
74. C2×D3×ΓL(1,𝔽8)C2×D3semidirect
80. C3×C7×Dic3C22×C3semidirect
81. C32×Dic7C22×C3semidirect
84. Dic3×ΓL(1,𝔽8)C2×D3semidirect
89. C3×ΓL(1,𝔽8)⋊C4C2×D3semidirect
90. C3×ΓL(1,𝔽8)⋊C4C2×D3semidirect
98. C32×ΓL(1,𝔽8)C2×D4semidirect
114. #4247C3×D3semidirect
116. D21⋊C4C3×D3semidirect
130. C3×D21C3×D4semidirect
145. C3⋊AGL(1,𝔽7)D12semidirect
169. C2×D21C2×C3×D3semidirect
173. C2×D3×C7C2×C3×D3semidirect
191. C3×Dic7C2×C3×D3semidirect
192. C3×Dic7C2×C3×D3semidirect
193. C7×Dic3C2×C3×D3semidirect
199. ΓL(1,𝔽8)⋊C4D32semidirect
223. #626AGL(1,𝔽7)semidirect
224. C32×C7C2×C3×D4semidirect
229. C3×ΓL(1,𝔽8)C2×D12semidirect
230. C3×ΓL(1,𝔽8)D3×D4semidirect
255. D21C3×D12semidirect
278. C2×C3⋊D3C2×AGL(1,𝔽7)semidirect
297. C2×C3×D3C2×AGL(1,𝔽7)semidirect
310. C3×Dic3C2×AGL(1,𝔽7)semidirect
319. Dic7C3×D32semidirect
346. C3×C7C2×C3×D12semidirect
347. C3×C7C3×D3×D4semidirect
351. ΓL(1,𝔽8)D3×D12semidirect
411. C2×D3D3×AGL(1,𝔽7)semidirect
422. Dic3D3×AGL(1,𝔽7)semidirect
429. C32D4×AGL(1,𝔽7)semidirect
437. C7C3×D3×D12semidirect
479. C3D12×AGL(1,𝔽7)semidirect
480. C3#66694⋊C3semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×(C3⋊AGL(1,𝔽7))⋊D32
C2×D3×C3⋊AGL(1,𝔽7)2
#92689⋊C32
ΓL(1,𝔽8)×#6262
#130947162
C3×#4247⋊C32
C3×(C3⋊AGL(1,𝔽7))⋊C42
#117594303
#66694⋊C33
D12×AGL(1,𝔽7)3
C3×D3×D127