Finite Group Databasebeta

← #3242×D79 #35160466

Subgroups — #3242×D79 #35160466

Order 20224.

1678 conjugacy classes of subgroups.

The subgroup lattice has 1588 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#544×D79C211yesmaximal, characteristic
2#541×D79C211yesmaximal, characteristic
3#23774675C211yesmaximal, characteristic, complemented
4#23774674C211yesmaximal, characteristic, complemented
5#23774673C211yesmaximal, characteristic, complemented
6#23774672C211yesmaximal, characteristic, complemented
7#23774671C211yesmaximal, characteristic, complemented
8#23774670C211yesmaximal, characteristic, complemented
9#23774669C211yesmaximal, characteristic, complemented
10#23774668C211yesmaximal, characteristic, complemented
11#23774667C211yesmaximal, characteristic, complemented
12#23774666C211yesmaximal, characteristic, complemented
13#23774665C211yesmaximal, characteristic, complemented
14#23774664C211yesmaximal, characteristic, complemented
15#23774663C211yesmaximal, characteristic, complemented
16#23774662C211yesmaximal, characteristic, complemented
17#23774661C211yesmaximal, characteristic, complemented
18#501×D79C211yesmaximal, characteristic, complemented
19#499×D79C211yesmaximal, characteristic, complemented
20#491×D79C211yesmaximal, characteristic, complemented
21#487×D79C211yesmaximal, characteristic, complemented
22#484×D79C211yesmaximal, characteristic
23#485×D79C211yesmaximal, characteristic
24#485×D79C211yesmaximal, characteristic
25#483×D79C211yesmaximal, characteristic
26#479×D79C211yesmaximal, characteristic, complemented
27#479×D79C211yesmaximal, characteristic, complemented
28#477×D79C211yesmaximal, characteristic, complemented
29#475×D79C211yesmaximal, characteristic, complemented
30#433×D79C211yesmaximal, characteristic
31C79×#3242C211yesmaximal, characteristic, complemented
32#19099194C2211yescharacteristic
33#19099193—21no—
34#19099193C2211yescharacteristic
35#19099193C2211yescharacteristic
36#19099192—21no—
37#19099192—21no—
38#19099191C2211yescharacteristic
39#19099191C2211yescharacteristic
40#19099190—21no—
41#19099190C2211yescharacteristic
42#19099190C2211yescharacteristic
43#19099176C2211yescharacteristic
44#19099175C2211yescharacteristic
45#19099174C2211yescharacteristic
46#19099173C2211yescharacteristic
47#19099173C2211yescharacteristic
48#19099172—21no—
49#19099172—21no—
50#19099171C2211yescharacteristic
51#19099171C2211yescharacteristic
52#19099170—21no—
53#19099170—21no—
54C4⋊Q8×D79—21no—
55C4⋊Q8×D79C2211yescharacteristic
56C4⋊Q8×D79C2211yescharacteristic
57C4⋊Q8×D79C2211yescharacteristic
58#126×D79—21no—
59#126×D79—21no—
60#125×D79—21no—
61#125×D79—21no—
62#125×D79—21no—
63#125×D79C2211yescharacteristic
64#125×D79C2211yescharacteristic
65#125×D79C2211yescharacteristic
66C22⋊Q8×D79—21no—
67C22⋊Q8×D79—21no—
68C22⋊Q8×D79C2211yescharacteristic
69C22⋊Q8×D79C2211yescharacteristic
70C4×Q8×D79C2211yescharacteristic
71C4×Q8×D79C2211yescharacteristic
72#117×D79C2211yescharacteristic
73#117×D79C2211yescharacteristic
74C2×C4⋊C4×D79C2211yescharacteristic
75#19098973C2211yescharacteristic, complemented
76#19098972C2211yescharacteristic, complemented
77#19098971C2211yescharacteristic, complemented
78#19098971C2211yescharacteristic, complemented
79#19098970C2211yescharacteristic, complemented
80#19098970C2211yescharacteristic, complemented
81#19098969C2211yescharacteristic, complemented
82#19098965C2211yescharacteristic, complemented
83#19098964C2211yescharacteristic, complemented
84#19098964C2211yescharacteristic, complemented
85#19098963C2211yescharacteristic, complemented
86#19098963C2211yescharacteristic, complemented
87#19098962C2211yescharacteristic, complemented
88#19098962C2211yescharacteristic, complemented
89#19098933C2211yescharacteristic, complemented
90#19098932C2211yescharacteristic, complemented
91#19098931C2211yescharacteristic, complemented
92#19098930C2211yescharacteristic, complemented
93#19098930C2211yescharacteristic, complemented
94#19098930C2211yescharacteristic, complemented
95#19098930C2211yescharacteristic, complemented
96#19098915C2211yescharacteristic, complemented
97#19098914C2211yescharacteristic, complemented
98#19098913C2211yescharacteristic, complemented
99#19098912C2211yescharacteristic, complemented
100#19098912C2211yescharacteristic, complemented
101#19098912C2211yescharacteristic, complemented
102#19098912C2211yescharacteristic, complemented
103#19098907C2211yescharacteristic
104#19098907C2211yescharacteristic
105#19098906C2211yescharacteristic
106#19098906C2211yescharacteristic
107#19098905C2211yescharacteristic
108#19098905C2211yescharacteristic
109#19098904C2211yescharacteristic
110#19098904C2211yescharacteristic
111#19098903C2211yescharacteristic
112#19098903C2211yescharacteristic
113#19098902C2211yescharacteristic
114#19098902C2211yescharacteristic
115#19098901C2211yescharacteristic
116#19098901C2211yescharacteristic
117#19098900C2211yescharacteristic
118#19098900C2211yescharacteristic
119#19098899C2211yescharacteristic
120#19098898C2211yescharacteristic
121#19098897C2211yescharacteristic
122#19098897C2211yescharacteristic
123#19098896C2211yescharacteristic
124#19098895C2211yescharacteristic
125#19098895C2211yescharacteristic
126#19098894C2211yescharacteristic
127#19098893C2211yescharacteristic
128#19098892C2211yescharacteristic
129#19098892C2211yescharacteristic
130#19098891C2211yescharacteristic
131#19098873C2211yescharacteristic, complemented
132#19098873C2211yescharacteristic, complemented
133#19098872C2211yescharacteristic, complemented
134#19098872C2211yescharacteristic, complemented
135#19098871C2211yescharacteristic, complemented
136#19098871C2211yescharacteristic, complemented
137#19098870C2211yescharacteristic, complemented
138#19098870C2211yescharacteristic, complemented
139#19098869C2211yescharacteristic, complemented
140#19098869C2211yescharacteristic, complemented
141#19098868C2211yescharacteristic, complemented
142#19098868C2211yescharacteristic, complemented
143#19098867C2211yescharacteristic, complemented
144#19098867C2211yescharacteristic, complemented
145#19098859C2211yescharacteristic, complemented
146#19098858C2211yescharacteristic, complemented
147#19098857C2211yescharacteristic, complemented
148#19098857C2211yescharacteristic, complemented
149#19098856C2211yescharacteristic, complemented
150#19098856C2211yescharacteristic, complemented
151#19098855C2211yescharacteristic, complemented
152#19098849C2211yescharacteristic, complemented
153#19098848C2211yescharacteristic, complemented
154#19098847C2211yescharacteristic, complemented
155#19098847C2211yescharacteristic, complemented
156#19098846C2211yescharacteristic, complemented
157#19098846C2211yescharacteristic, complemented
158#19098845C2211yescharacteristic, complemented
159#19098625C2211yescharacteristic
160#19098624C2211yescharacteristic
161#19098623C2211yescharacteristic
162#19098623C2211yescharacteristic
163#19098622C2211yescharacteristic
164#19098621C2211yescharacteristic
165#19098621C2211yescharacteristic
166#107×D79C2211yescharacteristic
167#107×D79C2211yescharacteristic
168#107×D79C2211yescharacteristic
169#107×D79C2211yescharacteristic
170#106×D79C2211yescharacteristic
171#106×D79C2211yescharacteristic
172#106×D79C2211yescharacteristic
173#106×D79C2211yescharacteristic
174C4⋊C8×D79C2211yescharacteristic
175C4⋊C8×D79C2211yescharacteristic
176#103×D79C2211yescharacteristic
177#103×D79C2211yescharacteristic
178#103×D79C2211yescharacteristic
179#103×D79C2211yescharacteristic
180#103×D79C2211yescharacteristic
181#103×D79C2211yescharacteristic
182#103×D79C2211yescharacteristic
183#103×D79C2211yescharacteristic
184C22⋊C8×D79C2211yescharacteristic
185C22⋊C8×D79C2211yescharacteristic
186#97×D79C2211yescharacteristic
187C4×C8×D79C2211yescharacteristic
188#544×C79C2211yescharacteristic
189#541×C79C2211yescharacteristic
190#501×C79C2211yescharacteristic, complemented
191#499×C79C2211yescharacteristic, complemented
192#491×C79C2211yescharacteristic, complemented
193#487×C79C2211yescharacteristic, complemented
194#485×C79C2211yescharacteristic
195#485×C79C2211yescharacteristic
196#484×C79C2211yescharacteristic
197#483×C79C2211yescharacteristic
198#479×C79C2211yescharacteristic, complemented
199#479×C79C2211yescharacteristic, complemented
200#477×C79C2211yescharacteristic, complemented
201#475×C79C2211yescharacteristic, complemented
202#433×C79C2211yescharacteristic
203C2×Q8×D79—21no—
204C2×Q8×D79—21no—
205C2×Q8×D79C2311yescharacteristic
206C2×Q8×D79C2311yescharacteristic
207C22×C4×D79—21no—
208C22×C4×D79C2311yescharacteristic
209C2×C8×D79C2311yescharacteristic
210C2×C8×D79C2311yescharacteristic
211C2×C8×D79C2311yescharacteristic
212C2×C8×D79C2311yescharacteristic
213#14579161—21no—
214#14579161C2311yescharacteristic
215#14579161C2311yescharacteristic
216#14579161C2311yescharacteristic
217#14579160—21no—
218#14579160—21no—
219#14579160—21no—
220#14579160—21no—
221#14579160—21no—
222#14579160—21no—
223#14579160—21no—
224#14579160—21no—
225#14579160C2311yescharacteristic
226#14579160C2311yescharacteristic
227#14579160C2311yescharacteristic
228#14579160C2311yescharacteristic
229#14579159—21no—
230#14579159—21no—
231#14579159—21no—
232#14579159—21no—
233#14579159C2311yescharacteristic
234#14579159C2311yescharacteristic
235#14579156—21no—
236#14579156—21no—
237#14579156—21no—
238#14579156—21no—
239#14579156—21no—
240#14579156—21no—
241#14579155—21no—
242#14579155—21no—
243#14579154—21no—
244#14579154—21no—
245#14579154—21no—
246#14579154—21no—
247#14579154—21no—
248#14579154—21no—
249#14579153—21no—
250#14579153—21no—
251#14579153—21no—
252#14579153C2311yescharacteristic
253#14579153C2311yescharacteristic
254#14579153C2311yescharacteristic
255#14579152—21no—
256#14579152—21no—
257#14579152—21no—
258#14579152—21no—
259#14579152—21no—
260#14579152—21no—
261#14579152C2311yescharacteristic
262#14579152C2311yescharacteristic
263#14579152C2311yescharacteristic
264#14579152C2311yescharacteristic
265#14579152C2311yescharacteristic
266#14579152C2311yescharacteristic
267#14579151—21no—
268#14579151—21no—
269#14579151—21no—
270#14579151—21no—
271#14579151—21no—
272#14579151—21no—
273#14579151—21no—
274#14579151—21no—
275#14579151—21no—
276#14579151—21no—
277#14579151—21no—
278#14579151—21no—
279#14579151—21no—
280#14579151—21no—
281#14579151—21no—
282#14579151—21no—
283#14579151—21no—
284#14579151—21no—
285#14579141—21no—
286#14579141—21no—
287#14579141C2311yescharacteristic
288#14579141C2311yescharacteristic
289#14579140—21no—
290#14579140—21no—
291#14579140C2311yescharacteristic
292#14579140C2311yescharacteristic
293#14579139—21no—
294#14579139—21no—
295#14579139—21no—
296#14579139—21no—
297#14579139—21no—
298#14579139—21no—
299#14579138—21no—
300#14579138—21no—
301#14579138—21no—
302#14579138—21no—
303#14579138—21no—
304#14579138—21no—
305#14579137—21no—
306#14579137—21no—
307#14579137C2311yescharacteristic
308#14579137C2311yescharacteristic
309Q8×Dic79C2311yescharacteristic
310Q8×Dic79C2311yescharacteristic
311C4×Dic158—21no—
312C4×Dic158—21no—
313C4×Dic158C2311yescharacteristic
314C4×Dic158C2311yescharacteristic
315#14579126—21no—
316#14579126—21no—
317#14579126C2311yescharacteristic
318#14579126C2311yescharacteristic
319#14579120C2311yescharacteristic
320#14579120C2311yescharacteristic
321#14579119D411yescharacteristic
322#14579119D411yescharacteristic
323#14579119C2311yescharacteristic
324#14579119C2311yescharacteristic
325#14579118—21no—
326#14579118C2311yescharacteristic
327#14579118C2311yescharacteristic
328#14579117—21no—
329#14579117D411yescharacteristic
330#14579117D411yescharacteristic
331C2×C4⋊Dic79C2311yescharacteristic
332C2×Dic79⋊C4—21no—
333C4⋊C4×D79—21no—
334C4⋊C4×D79—21no—
335C4⋊C4×D79—21no—
336C4⋊C4×D79—21no—
337C4⋊C4×D79—21no—
338C4⋊C4×D79—21no—
339C4⋊C4×D79—21no—
340C4⋊C4×D79—21no—
341C4⋊C4×D79—21no—
342C4⋊C4×D79—21no—
343C4⋊C4×D79—21no—
344C4⋊C4×D79—21no—
345C4⋊C4×D79—21no—
346C4⋊C4×D79—21no—
347C4⋊C4×D79—21no—
348C4⋊C4×D79—21no—
349C4⋊C4×D79D411yescharacteristic
350C4⋊C4×D79D411yescharacteristic
351C4⋊C4×D79C2311yescharacteristic
352C4⋊C4×D79C2311yescharacteristic
353C4⋊C4×D79C2311yescharacteristic
354C4⋊C4×D79C2311yescharacteristic
355C4⋊C4×D79C2311yescharacteristic
356C4⋊C4×D79C2311yescharacteristic
357C4⋊C4×D79C2311yescharacteristic
358C4⋊C4×D79C2311yescharacteristic
359C22⋊C4×D79—21no—
360C22⋊C4×D79—21no—
361C22⋊C4×D79—21no—
362C22⋊C4×D79D411yescharacteristic
363C22⋊C4×D79D411yescharacteristic
364C42×D79—21no—
365C42×D79—21no—
366C42×D79—21no—
367C42×D79C2311yescharacteristic
368C42×D79C2311yescharacteristic
369#14579095C2311yescharacteristic
370#14579095C2311yescharacteristic
371#14579095C2311yescharacteristic
372#14579095C2311yescharacteristic
373#14579094C2311yescharacteristic
374#14579094C2311yescharacteristic
375#14579094C2311yescharacteristic
376#14579094C2311yescharacteristic
377#14579094C2311yescharacteristic
378#14579094C2311yescharacteristic
379#14579094C2311yescharacteristic
380#14579094C2311yescharacteristic
381#14579093C2311yescharacteristic
382#14579093C2311yescharacteristic
383#14579093C2311yescharacteristic
384#14579093C2311yescharacteristic
385#14579092C2311yescharacteristic
386#14579092C2311yescharacteristic
387#14579092C2311yescharacteristic
388#14579092C2311yescharacteristic
389#14579092C2311yescharacteristic
390#14579092C2311yescharacteristic
391#14579092C2311yescharacteristic
392#14579092C2311yescharacteristic
393C4⋊(C79⋊C8)C2311yescharacteristic
394C4⋊(C79⋊C8)C2311yescharacteristic
395Dic79⋊C8C2311yescharacteristic
396Dic79⋊C8C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399#14579086C2311yescharacteristic
400#14579086C2311yescharacteristic
401#14579086C2311yescharacteristic
402#14579086C2311yescharacteristic
403#14579086C2311yescharacteristic
404#14579086C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579085C2311yescharacteristic
408#14579085C2311yescharacteristic
409#14579085C2311yescharacteristic
410#14579085C2311yescharacteristic
411#14579085C2311yescharacteristic
412#14579085C2311yescharacteristic
413#14579085C2311yescharacteristic
414#14579085C2311yescharacteristic
415#14579084C2311yescharacteristic
416#14579084C2311yescharacteristic
417#14579084C2311yescharacteristic
418#14579084C2311yescharacteristic
419#14579084C2311yescharacteristic
420#14579084C2311yescharacteristic
421#14579084C2311yescharacteristic
422#14579084C2311yescharacteristic
423C22⋊(C79⋊C8)C2311yescharacteristic
424C22⋊(C79⋊C8)C2311yescharacteristic
425(C2×D79)⋊C8C2311yescharacteristic
426(C2×D79)⋊C8C2311yescharacteristic
427(C2×D79)⋊C8C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429#14579072C2311yescharacteristic
430#14579071C2311yescharacteristic
431#14579071C2311yescharacteristic
432C4×C79⋊C8C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C4⋊Q8×C79—21no—
436C4⋊Q8×C79C2311yescharacteristic
437C4⋊Q8×C79C2311yescharacteristic
438C4⋊Q8×C79C2311yescharacteristic
439#126×C79—21no—
440#126×C79—21no—
441#125×C79—21no—
442#125×C79—21no—
443#125×C79—21no—
444#125×C79C2311yescharacteristic
445#125×C79C2311yescharacteristic
446#125×C79C2311yescharacteristic
447C22⋊Q8×C79—21no—
448C22⋊Q8×C79—21no—
449C22⋊Q8×C79C2311yescharacteristic
450C22⋊Q8×C79C2311yescharacteristic
451C4×Q8×C79C2311yescharacteristic
452C4×Q8×C79C2311yescharacteristic
453#117×C79C2311yescharacteristic
454#117×C79C2311yescharacteristic
455C2×C4⋊C4×C79C2311yescharacteristic
456#107×C79C2311yescharacteristic
457#107×C79C2311yescharacteristic
458#107×C79C2311yescharacteristic
459#107×C79C2311yescharacteristic
460#106×C79C2311yescharacteristic
461#106×C79C2311yescharacteristic
462#106×C79C2311yescharacteristic
463#106×C79C2311yescharacteristic
464C4⋊C8×C79C2311yescharacteristic
465C4⋊C8×C79C2311yescharacteristic
466#103×C79C2311yescharacteristic
467#103×C79C2311yescharacteristic
468#103×C79C2311yescharacteristic
469#103×C79C2311yescharacteristic
470#103×C79C2311yescharacteristic
471#103×C79C2311yescharacteristic
472#103×C79C2311yescharacteristic
473#103×C79C2311yescharacteristic
474C22⋊C8×C79C2311yescharacteristic
475C22⋊C8×C79C2311yescharacteristic
476#97×C79C2311yescharacteristic
477C4×C8×C79C2311yescharacteristic
478C23×D79C2×D411yescharacteristic
479C2×Dic158—21no—
480C2×Dic158—21no—
481C2×Dic158—21no—
482C2×Dic158—21no—
483C2×Dic158—21no—
484C2×Dic158—21no—
485C2×Dic158—21no—
486C2×Dic158—21no—
487C2×Dic158C2411yescharacteristic
488C2×Dic158C2411yescharacteristic
489Q8×D79—22no—
490Q8×D79—22no—
491Q8×D79—22no—
492Q8×D79—22no—
493Q8×D79—82no—
494Q8×D79—82no—
495C22×Dic79—21no—
496C22×Dic79C2×D411yescharacteristic
497C2×C4×D79—22no—
498C2×C4×D79—22no—
499C2×C4×D79—21no—
500C2×C4×D79—21no—
501C2×C4×D79—21no—
502C2×C4×D79—21no—
503C2×C4×D79—21no—
504C2×C4×D79—21no—
505C2×C4×D79—21no—
506C2×C4×D79—21no—
507C2×C4×D79—21no—
508C2×C4×D79—21no—
509C2×C4×D79—82no—
510C2×C4×D79C2×D411yescharacteristic
511C2×C4×D79C2×D411yescharacteristic
512C2×C4×D79C2×D411yescharacteristic
513C2×C4×D79C2×D411yescharacteristic
514C2×C4×D79C2×D411yescharacteristic
515C2×C4×D79C2×D411yescharacteristic
516C2×C4×D79C2411yescharacteristic
517C2×C4×D79C2411yescharacteristic
518C2×C79⋊C8C2411yescharacteristic
519C2×C79⋊C8C2411yescharacteristic
520C2×C79⋊C8C2411yescharacteristic
521C2×C79⋊C8C2411yescharacteristic
522C8×D79—22no—
523C8×D79—22no—
524C8×D79—22no—
525C8×D79—22no—
526C4⋊Dic79—21no—
527C4⋊Dic79—21no—
528C4⋊Dic79—21no—
529C4⋊Dic79—21no—
530C4⋊Dic79—21no—
531C4⋊Dic79—21no—
532C4⋊Dic79—21no—
533C4⋊Dic79—21no—
534C4⋊Dic79—21no—
535C4⋊Dic79—21no—
536C4⋊Dic79—21no—
537C4⋊Dic79—21no—
538C4⋊Dic79—21no—
539C4⋊Dic79—21no—
540C4⋊Dic79—21no—
541C4⋊Dic79C2×D411yescharacteristic
542C4⋊Dic79C2×D411yescharacteristic
543C4⋊Dic79C2411yescharacteristic
544C4⋊Dic79C2411yescharacteristic
545C4⋊Dic79C2411yescharacteristic
546C4⋊Dic79C2411yescharacteristic
547C4⋊Dic79C2411yescharacteristic
548C4⋊Dic79C2411yescharacteristic
549Dic79⋊C4—21no—
550Dic79⋊C4—21no—
551Dic79⋊C4—21no—
552Dic79⋊C4—21no—
553Dic79⋊C4—21no—
554Dic79⋊C4—21no—
555Dic79⋊C4—21no—
556Dic79⋊C4—21no—
557Dic79⋊C4—21no—
558Dic79⋊C4—21no—
559Dic79⋊C4—21no—
560Dic79⋊C4—21no—
561Dic79⋊C4—21no—
562Dic79⋊C4—21no—
563Dic79⋊C4—21no—
564Dic79⋊C4—21no—
565Dic79⋊C4—21no—
566Dic79⋊C4—21no—
567Dic79⋊C4—21no—
568Dic79⋊C4—21no—
569Dic79⋊C4—21no—
570Dic79⋊C4—21no—
571Dic79⋊C4—21no—
572Dic79⋊C4—21no—
573Dic79⋊C4—21no—
574Dic79⋊C4—21no—
575Dic79⋊C4—21no—
576Dic79⋊C4—21no—
577Dic79⋊C4—21no—
578Dic79⋊C4—21no—
579Dic79⋊C4—21no—
580Dic79⋊C4—21no—
581Dic79⋊C4—21no—
582Dic79⋊C4—21no—
583Dic79⋊C4—21no—
584Dic79⋊C4—21no—
585Dic79⋊C4C2×D411yescharacteristic
586Dic79⋊C4C2×D411yescharacteristic
587Dic79⋊C4C2×D411yescharacteristic
588Dic79⋊C4C2×D411yescharacteristic
589C22⋊Dic79—21no—
590C22⋊Dic79—21no—
591C22⋊Dic79—21no—
592C22⋊Dic79C2×D411yescharacteristic
593C22⋊Dic79C2×D411yescharacteristic
594(C2×D79)⋊C4—21no—
595(C2×D79)⋊C4—21no—
596(C2×D79)⋊C4—21no—
597(C2×D79)⋊C4—21no—
598(C2×D79)⋊C4—21no—
599(C2×D79)⋊C4—21no—
600(C2×D79)⋊C4C2×D411yescharacteristic
601(C2×D79)⋊C4C2×D411yescharacteristic
602(C2×D79)⋊C4C2×D411yescharacteristic
603(C2×D79)⋊C4C2×D411yescharacteristic
604C4×Dic79—21no—
605C4×Dic79—21no—
606C4×Dic79—21no—
607C4×Dic79—21no—
608C4×Dic79—21no—
609C4×Dic79—21no—
610C4×Dic79—21no—
611C4×Dic79—21no—
612C4×Dic79—21no—
613C4×Dic79C2×D411yescharacteristic
614C4×Dic79C2×D411yescharacteristic
615C4×Dic79C2×D411yescharacteristic
616C4×Dic79C2×D411yescharacteristic
617C4×Dic79C2411yescharacteristic
618C4×Dic79C2411yescharacteristic
619C2×Q8×C79—21no—
620C2×Q8×C79—21no—
621C2×Q8×C79C2411yescharacteristic
622C2×Q8×C79C2411yescharacteristic
623C22×C4×C79—21no—
624C22×C4×C79C2411yescharacteristic
625C2×C8×C79C2411yescharacteristic
626C2×C8×C79C2411yescharacteristic
627C2×C8×C79C2411yescharacteristic
628C2×C8×C79C2411yescharacteristic
629C4⋊C4×C79—21no—
630C4⋊C4×C79—21no—
631C4⋊C4×C79—21no—
632C4⋊C4×C79—21no—
633C4⋊C4×C79—21no—
634C4⋊C4×C79—21no—
635C4⋊C4×C79—21no—
636C4⋊C4×C79—21no—
637C4⋊C4×C79—21no—
638C4⋊C4×C79—21no—
639C4⋊C4×C79—21no—
640C4⋊C4×C79—21no—
641C4⋊C4×C79—21no—
642C4⋊C4×C79—21no—
643C4⋊C4×C79—21no—
644C4⋊C4×C79C2×D411yescharacteristic
645C4⋊C4×C79C2×D411yescharacteristic
646C4⋊C4×C79C2411yescharacteristic
647C4⋊C4×C79C2411yescharacteristic
648C4⋊C4×C79C2411yescharacteristic
649C4⋊C4×C79C2411yescharacteristic
650C4⋊C4×C79C2411yescharacteristic
651C4⋊C4×C79C2411yescharacteristic
652C22⋊C4×C79—21no—
653C22⋊C4×C79—21no—
654C22⋊C4×C79—21no—
655C22⋊C4×C79C2×D411yescharacteristic
656C22⋊C4×C79C2×D411yescharacteristic
657C42×C79—21no—
658C42×C79—21no—
659C42×C79—21no—
660C42×C79C2411yescharacteristic
661C42×C79C2411yescharacteristic
662C23×C79C22×D411yescharacteristic
663C22×D79—22no—
664C22×D79—22no—
665C22×D79—22no—
666C22×D79C22×D411yescharacteristic
667C22×D79C22×D411yescharacteristic
668Q8×C79—21no—
669Q8×C79—21no—
670Q8×C79—21no—
671Q8×C79—21no—
672Q8×C79—81no—
673Q8×C79—81no—
674C2×C4×C79—21no—
675C2×C4×C79—21no—
676C2×C4×C79—21no—
677C2×C4×C79—21no—
678C2×C4×C79—21no—
679C2×C4×C79—21no—
680C2×C4×C79—21no—
681C2×C4×C79—21no—
682C2×C4×C79—21no—
683C2×C4×C79—21no—
684C2×C4×C79—81no—
685C2×C4×C79C22×D411yescharacteristic
686C2×C4×C79C22×D411yescharacteristic
687C2×C4×C79C22×D411yescharacteristic
688C2×C4×C79C22×D411yescharacteristic
689C2×C4×C79C22×D411yescharacteristic
690C2×C4×C79C2511yescharacteristic
691C2×Dic79—22no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—81no—
701C2×Dic79C22×D411yescharacteristic
702C2×Dic79C22×D411yescharacteristic
703C2×Dic79C22×D411yescharacteristic
704C2×Dic79C22×D411yescharacteristic
705C2×Dic79C22×D411yescharacteristic
706C2×Dic79C22×D411yescharacteristic
707C4×D79—22no—
708C4×D79—22no—
709C4×D79—22no—
710C4×D79—22no—
711C4×D79—22no—
712C4×D79—21no—
713C4×D79—21no—
714C4×D79—22no—
715C4×D79—42no—
716C4×D79—42no—
717C4×D79—42no—
718C4×D79—42no—
719C4×D79—42no—
720C4×D79—42no—
721C4×D79—42no—
722C4×D79—42no—
723C4×D79—81no—
724C4×D79—81no—
725C4×D792−1+412yes—
726C4×D792−1+412yes—
727Dic158—21no—
728Dic158—21no—
729Dic158—21no—
730Dic158—21no—
731Dic158—42no—
732Dic158—42no—
733Dic158—81no—
734Dic158—81no—
735Dic158—81no—
736Dic158—81no—
737Dic158—81no—
738Dic158—81no—
739C8×C79—21no—
740C8×C79—21no—
741C8×C79—21no—
742C8×C79—21no—
743C79⋊C8—21no—
744C79⋊C8—21no—
745C79⋊C8—21no—
746C79⋊C8—21no—
747C22×C79—21no—
748C22×C79—21no—
749C22×C79—21no—
750C22×C79C23×D411yescharacteristic
751C2×D79—21no—
752C2×D79—21no—
753C2×D79—21no—
754C2×D79—44no—
755C2×D79#53612yes—
756C2×D79#57712yes—
757C2×D79#57812yes—
758C4×C79—21no—
759C4×C79—21no—
760C4×C79—21no—
761C4×C79—21no—
762C4×C79—21no—
763C4×C79—41no—
764C4×C79—41no—
765C4×C79—41no—
766C4×C79—41no—
767C4×C79—41no—
768C4×C79—41no—
769C4×C79—41no—
770C4×C79—41no—
771C4×C79C2×2−1+411yescharacteristic
772C4×C79C2×2−1+411yescharacteristic
773Dic79—21no—
774Dic79—21no—
775Dic79—21no—
776Dic79—21no—
777Dic79—21no—
778Dic79—41no—
779Dic79—41no—
780Dic79—41no—
781Dic79—41no—
782Dic79—41no—
783Dic79—41no—
784Dic79—41no—
785Dic79—41no—
786Dic79#53612yes—
787C2×#3242—791nomaximal, Sylow
788C2×C79—41no—
789C2×C79C2×#53611yescharacteristic
790C2×C79C2×#57711yescharacteristic
791C2×C79C2×#57811yescharacteristic
792D79—41no—
793D79#324214yesdirect product factor
794C2×#544—791no—
795C2×#541—791no—
796#3242—791no—
797#3242—791no—
798#3242—791no—
799#3242—791no—
800#3242—791no—
801#3242—791no—
802#3242—791no—
803#3242—791no—
804#3242—791no—
805#3242—791no—
806#3242—791no—
807#3242—791no—
808#3242—791no—
809#3242—791no—
810#3242—791no—
811#3242D7911yescharacteristic, direct product factor
812C2×#501—791no—
813C2×#499—791no—
814C2×#491—791no—
815C2×#487—791no—
816C2×#484—791no—
817C2×#485—791no—
818C2×#485—791no—
819C2×#483—791no—
820C2×#479—791no—
821C2×#479—791no—
822C2×#477—791no—
823C2×#475—791no—
824C2×#433—791no—
825C79C2×#324211yescharacteristic, complemented, Sylow
826#544—791no—
827#544—791no—
828#544—791no—
829#544—791no—
830#544—791no—
831#544—791no—
832#544—791no—
833#544—1581no—
834#544—1581no—
835#544—1581no—
836#544—1581no—
837#544C2×D7911yescharacteristic
838#541—791no—
839#541—791no—
840#541—791no—
841#541—791no—
842#541—791no—
843#541—791no—
844#541—791no—
845#541—1581no—
846#541—1581no—
847#541—1581no—
848#541—1581no—
849#541C2×D7911yescharacteristic
850C2×C4⋊Q8—791no—
851C2×C4⋊Q8—791no—
852C2×C4⋊Q8—791no—
853C2×C4⋊Q8—1581no—
854C2×#126—1581no—
855C2×#126—1581no—
856C2×#125—791no—
857C2×#125—791no—
858C2×#125—791no—
859C2×#125—1581no—
860C2×#125—1581no—
861C2×#125—1581no—
862C2×C22⋊Q8—791no—
863C2×C22⋊Q8—791no—
864C2×C22⋊Q8—1581no—
865C2×C22⋊Q8—1581no—
866C2×C4×Q8—791no—
867C2×C4×Q8—791no—
868C2×#117—791no—
869C2×#117—791no—
870C22×C4⋊C4—791no—
871#501—791no—
872#501—791no—
873#501—791no—
874#501—791no—
875#501—791no—
876#501—791no—
877#501—791no—
878#501C2×D7911yescharacteristic, complemented
879#499—791no—
880#499—791no—
881#499—791no—
882#499—791no—
883#499—791no—
884#499—791no—
885#499—791no—
886#499C2×D7911yescharacteristic, complemented
887#491—791no—
888#491—791no—
889#491—791no—
890#491—791no—
891#491—791no—
892#491—791no—
893#491—791no—
894#491C2×D7911yescharacteristic, complemented
895#487—791no—
896#487—791no—
897#487—791no—
898#487—791no—
899#487—791no—
900#487—791no—
901#487—791no—
902#487C2×D7911yescharacteristic, complemented
903#485—791no—
904#485—791no—
905#485—791no—
906#485—791no—
907#485—791no—
908#485—791no—
909#485—791no—
910#485—791no—
911#485—791no—
912#485—791no—
913#485—791no—
914#485—791no—
915#485—791no—
916#485—791no—
917#485C2×D7911yescharacteristic
918#485C2×D7911yescharacteristic
919#484—791no—
920#484—791no—
921#484—791no—
922#484—791no—
923#484—791no—
924#484—791no—
925#484—791no—
926#484C2×D7911yescharacteristic
927#483—791no—
928#483—791no—
929#483—791no—
930#483—791no—
931#483—791no—
932#483—791no—
933#483—791no—
934#483C2×D7911yescharacteristic
935#479—791no—
936#479—791no—
937#479—791no—
938#479—791no—
939#479—791no—
940#479—791no—
941#479—791no—
942#479—791no—
943#479—791no—
944#479—791no—
945#479—791no—
946#479—791no—
947#479—791no—
948#479—791no—
949#479C2×D7911yescharacteristic, complemented
950#479C2×D7911yescharacteristic, complemented
951#477—791no—
952#477—791no—
953#477—791no—
954#477—791no—
955#477—791no—
956#477—791no—
957#477—791no—
958#477C2×D7911yescharacteristic, complemented
959#475—791no—
960#475—791no—
961#475—791no—
962#475—791no—
963#475—791no—
964#475—791no—
965#475—791no—
966#475C2×D7911yescharacteristic, complemented
967#433—791no—
968#433—791no—
969#433—791no—
970#433—791no—
971#433—791no—
972#433—791no—
973#433—791no—
974#433C2×D7911yescharacteristic
975C2×#107—791no—
976C2×#107—791no—
977C2×#107—791no—
978C2×#107—791no—
979C2×#106—791no—
980C2×#106—791no—
981C2×#106—791no—
982C2×#106—791no—
983C2×C4⋊C8—791no—
984C2×C4⋊C8—791no—
985C2×#103—791no—
986C2×#103—791no—
987C2×#103—791no—
988C2×#103—791no—
989C2×#103—791no—
990C2×#103—791no—
991C2×#103—791no—
992C2×#103—791no—
993C2×C22⋊C8—791no—
994C2×C22⋊C8—791no—
995C2×#97—791no—
996C2×C4×C8—791no—
997C22×Q8—791no—
998C22×Q8—791no—
999C22×Q8—1581no—
1000C22×Q8—1581no—
1001C23×C4—791no—
1002C23×C4—1581no—
1003C22×C8—791no—
1004C22×C8—791no—
1005C22×C8—791no—
1006C22×C8—791no—
1007C4⋊Q8—21no—
1008C4⋊Q8—791no—
1009C4⋊Q8—791no—
1010C4⋊Q8—791no—
1011C4⋊Q8—791no—
1012C4⋊Q8—791no—
1013C4⋊Q8—791no—
1014C4⋊Q8—791no—
1015C4⋊Q8—791no—
1016C4⋊Q8—791no—
1017C4⋊Q8—1581no—
1018C4⋊Q8—1581no—
1019C4⋊Q8—1581no—
1020C4⋊Q8—1581no—
1021C4⋊Q8—1581no—
1022C4⋊Q8—1581no—
1023C4⋊Q8—1581no—
1024C4⋊Q8—1581no—
1025C4⋊Q8—1581no—
1026C4⋊Q8—1581no—
1027C4⋊Q8—1581no—
1028C4⋊Q8—1581no—
1029C4⋊Q8—1581no—
1030C4⋊Q8C22×D7911yescharacteristic
1031C4⋊Q8C22×D7911yescharacteristic
1032C4⋊Q8C22×D7911yescharacteristic
1033#126—21no—
1034#126—21no—
1035#126—1581no—
1036#126—1581no—
1037#126—1581no—
1038#126—1581no—
1039#126—1581no—
1040#126—1581no—
1041#126—1581no—
1042#126—1581no—
1043#126—1581no—
1044#126—1581no—
1045#126—1581no—
1046#126—1581no—
1047#126—1581no—
1048#126—1581no—
1049#125—21no—
1050#125—21no—
1051#125—21no—
1052#125—791no—
1053#125—791no—
1054#125—791no—
1055#125—791no—
1056#125—791no—
1057#125—791no—
1058#125—791no—
1059#125—791no—
1060#125—791no—
1061#125—1581no—
1062#125—1581no—
1063#125—1581no—
1064#125—1581no—
1065#125—1581no—
1066#125—1581no—
1067#125—1581no—
1068#125—1581no—
1069#125—1581no—
1070#125—1581no—
1071#125—1581no—
1072#125—1581no—
1073#125—1581no—
1074#125—1581no—
1075#125—1581no—
1076#125—1581no—
1077#125—1581no—
1078#125—1581no—
1079#125—1581no—
1080#125—1581no—
1081#125—1581no—
1082#125—1581no—
1083#125—1581no—
1084#125—1581no—
1085#125—1581no—
1086#125—1581no—
1087#125—1581no—
1088#125C22×D7911yescharacteristic
1089#125C22×D7911yescharacteristic
1090#125C22×D7911yescharacteristic
1091C22⋊Q8—21no—
1092C22⋊Q8—21no—
1093C22⋊Q8—791no—
1094C22⋊Q8—791no—
1095C22⋊Q8—791no—
1096C22⋊Q8—791no—
1097C22⋊Q8—791no—
1098C22⋊Q8—791no—
1099C22⋊Q8—1581no—
1100C22⋊Q8—1581no—
1101C22⋊Q8—1581no—
1102C22⋊Q8—1581no—
1103C22⋊Q8—1581no—
1104C22⋊Q8—1581no—
1105C22⋊Q8—1581no—
1106C22⋊Q8—1581no—
1107C22⋊Q8—1581no—
1108C22⋊Q8—1581no—
1109C22⋊Q8—1581no—
1110C22⋊Q8—1581no—
1111C22⋊Q8—1581no—
1112C22⋊Q8—1581no—
1113C22⋊Q8—1581no—
1114C22⋊Q8—1581no—
1115C22⋊Q8—1581no—
1116C22⋊Q8—1581no—
1117C22⋊Q8C22×D7911yescharacteristic
1118C22⋊Q8C22×D7911yescharacteristic
1119C4×Q8—791no—
1120C4×Q8—791no—
1121C4×Q8—791no—
1122C4×Q8—791no—
1123C4×Q8—791no—
1124C4×Q8—791no—
1125C4×Q8—1581no—
1126C4×Q8—1581no—
1127C4×Q8—1581no—
1128C4×Q8—1581no—
1129C4×Q8C22×D7911yescharacteristic
1130C4×Q8C22×D7911yescharacteristic
1131#117—791no—
1132#117—791no—
1133#117—791no—
1134#117—791no—
1135#117—791no—
1136#117—791no—
1137#117—791no—
1138#117—791no—
1139#117—791no—
1140#117—791no—
1141#117—1581no—
1142#117—1581no—
1143#117C22×D7911yescharacteristic
1144#117C22×D7911yescharacteristic
1145C2×C4⋊C4—791no—
1146C2×C4⋊C4—791no—
1147C2×C4⋊C4—791no—
1148C2×C4⋊C4—791no—
1149C2×C4⋊C4—791no—
1150C2×C4⋊C4—791no—
1151C2×C4⋊C4—791no—
1152C2×C4⋊C4—791no—
1153C2×C4⋊C4—791no—
1154C2×C4⋊C4—791no—
1155C2×C4⋊C4—791no—
1156C2×C4⋊C4—1581no—
1157C2×C4⋊C4—1581no—
1158C2×C4⋊C4—1581no—
1159C2×C4⋊C4—1581no—
1160C2×C4⋊C4—1581no—
1161C2×C4⋊C4—1581no—
1162C2×C4⋊C4—1581no—
1163C2×C4⋊C4—1581no—
1164C2×C4⋊C4—1581no—
1165C2×C4⋊C4—1581no—
1166C2×C4⋊C4—1581no—
1167C2×C4⋊C4—1581no—
1168C2×C4⋊C4—1581no—
1169C2×C4⋊C4—1581no—
1170C2×C4⋊C4—1581no—
1171C2×C4⋊C4—1581no—
1172C2×C4⋊C4—1581no—
1173C2×C4⋊C4C22×D7911yescharacteristic
1174C2×C22⋊C4—791no—
1175C2×C22⋊C4—791no—
1176C2×C22⋊C4—1581no—
1177C2×C22⋊C4—1581no—
1178C2×C22⋊C4—1581no—
1179C2×C42—791no—
1180C2×C42—791no—
1181C2×C42—1581no—
1182C2×C42—1581no—
1183C2×C42—1581no—
1184#107—791no—
1185#107—791no—
1186#107—791no—
1187#107—791no—
1188#107—791no—
1189#107—791no—
1190#107—791no—
1191#107—791no—
1192#107—791no—
1193#107—791no—
1194#107—791no—
1195#107—791no—
1196#107C22×D7911yescharacteristic
1197#107C22×D7911yescharacteristic
1198#107C22×D7911yescharacteristic
1199#107C22×D7911yescharacteristic
1200#106—791no—
1201#106—791no—
1202#106—791no—
1203#106—791no—
1204#106—791no—
1205#106—791no—
1206#106—791no—
1207#106—791no—
1208#106—791no—
1209#106—791no—
1210#106—791no—
1211#106—791no—
1212#106C22×D7911yescharacteristic
1213#106C22×D7911yescharacteristic
1214#106C22×D7911yescharacteristic
1215#106C22×D7911yescharacteristic
1216C4⋊C8—791no—
1217C4⋊C8—791no—
1218C4⋊C8—791no—
1219C4⋊C8—791no—
1220C4⋊C8—791no—
1221C4⋊C8—791no—
1222C4⋊C8C22×D7911yescharacteristic
1223C4⋊C8C22×D7911yescharacteristic
1224#103—791no—
1225#103—791no—
1226#103—791no—
1227#103—791no—
1228#103—791no—
1229#103—791no—
1230#103—791no—
1231#103—791no—
1232#103—791no—
1233#103—791no—
1234#103—791no—
1235#103—791no—
1236#103—791no—
1237#103—791no—
1238#103—791no—
1239#103—791no—
1240#103—791no—
1241#103—791no—
1242#103—791no—
1243#103—791no—
1244#103—791no—
1245#103—791no—
1246#103—791no—
1247#103—791no—
1248#103C22×D7911yescharacteristic
1249#103C22×D7911yescharacteristic
1250#103C22×D7911yescharacteristic
1251#103C22×D7911yescharacteristic
1252#103C22×D7911yescharacteristic
1253#103C22×D7911yescharacteristic
1254#103C22×D7911yescharacteristic
1255#103C22×D7911yescharacteristic
1256C22⋊C8—791no—
1257C22⋊C8—791no—
1258C22⋊C8—791no—
1259C22⋊C8—791no—
1260C22⋊C8—791no—
1261C22⋊C8—791no—
1262C22⋊C8C22×D7911yescharacteristic
1263C22⋊C8C22×D7911yescharacteristic
1264#97—791no—
1265#97—791no—
1266#97—791no—
1267#97C22×D7911yescharacteristic
1268C4×C8—791no—
1269C4×C8—791no—
1270C4×C8—791no—
1271C4×C8C22×D7911yescharacteristic
1272C24—791no—
1273C2×Q8—21no—
1274C2×Q8—21no—
1275C2×Q8—791no—
1276C2×Q8—791no—
1277C2×Q8—6322no—
1278C2×Q8—6322no—
1279C2×Q8—1581no—
1280C2×Q8—1581no—
1281C2×Q8—1581no—
1282C2×Q8—1581no—
1283C2×Q8—1581no—
1284C2×Q8—1581no—
1285C2×Q8—1582no—
1286C2×Q8—1582no—
1287C2×Q8—1582no—
1288C2×Q8—1582no—
1289C2×Q8—1581no—
1290C2×Q8—1581no—
1291C2×Q8C23×D7911yescharacteristic
1292C2×Q8C23×D7911yescharacteristic
1293C22×C4—21no—
1294C22×C4—791no—
1295C22×C4—791no—
1296C22×C4—791no—
1297C22×C4—791no—
1298C22×C4—791no—
1299C22×C4—791no—
1300C22×C4—791no—
1301C22×C4—791no—
1302C22×C4—791no—
1303C22×C4—6322no—
1304C22×C4—1581no—
1305C22×C4—1581no—
1306C22×C4—1581no—
1307C22×C4—1581no—
1308C22×C4—1581no—
1309C22×C4—1581no—
1310C22×C4—1581no—
1311C22×C4—1581no—
1312C22×C4—1582no—
1313C22×C4—1582no—
1314C22×C4—1581no—
1315C22×C4—1581no—
1316C22×C4—1581no—
1317C22×C4C23×D7911yescharacteristic
1318C2×C8—791no—
1319C2×C8—791no—
1320C2×C8—791no—
1321C2×C8—791no—
1322C2×C8—1582no—
1323C2×C8—1582no—
1324C2×C8—1582no—
1325C2×C8—1582no—
1326C2×C8C23×D7911yescharacteristic
1327C2×C8C23×D7911yescharacteristic
1328C2×C8C23×D7911yescharacteristic
1329C2×C8C23×D7911yescharacteristic
1330C4⋊C4—21no—
1331C4⋊C4—21no—
1332C4⋊C4—21no—
1333C4⋊C4—21no—
1334C4⋊C4—21no—
1335C4⋊C4—21no—
1336C4⋊C4—21no—
1337C4⋊C4—21no—
1338C4⋊C4—21no—
1339C4⋊C4—21no—
1340C4⋊C4—21no—
1341C4⋊C4—21no—
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—791no—
1346C4⋊C4—791no—
1347C4⋊C4—791no—
1348C4⋊C4—791no—
1349C4⋊C4—791no—
1350C4⋊C4—791no—
1351C4⋊C4—791no—
1352C4⋊C4—791no—
1353C4⋊C4—791no—
1354C4⋊C4—791no—
1355C4⋊C4—791no—
1356C4⋊C4—791no—
1357C4⋊C4—1581no—
1358C4⋊C4—1581no—
1359C4⋊C4—1581no—
1360C4⋊C4—1581no—
1361C4⋊C4—1581no—
1362C4⋊C4—1581no—
1363C4⋊C4—1581no—
1364C4⋊C4—1581no—
1365C4⋊C4—1581no—
1366C4⋊C4—1581no—
1367C4⋊C4—1581no—
1368C4⋊C4—1581no—
1369C4⋊C4—1581no—
1370C4⋊C4—1581no—
1371C4⋊C4—1581no—
1372C4⋊C4—1581no—
1373C4⋊C4—1581no—
1374C4⋊C4—1581no—
1375C4⋊C4—1581no—
1376C4⋊C4—1581no—
1377C4⋊C4—1581no—
1378C4⋊C4—1581no—
1379C4⋊C4—1581no—
1380C4⋊C4—1581no—
1381C4⋊C4—1581no—
1382C4⋊C4—1581no—
1383C4⋊C4—1581no—
1384C4⋊C4—1581no—
1385C4⋊C4—1581no—
1386C4⋊C4—1581no—
1387C4⋊C4—1581no—
1388C4⋊C4—1581no—
1389C4⋊C4—1581no—
1390C4⋊C4—1581no—
1391C4⋊C4—1581no—
1392C4⋊C4—1581no—
1393C4⋊C4—1581no—
1394C4⋊C4—1581no—
1395C4⋊C4—1581no—
1396C4⋊C4—1581no—
1397C4⋊C4—1581no—
1398C4⋊C4—1581no—
1399C4⋊C4—1581no—
1400C4⋊C4—1581no—
1401C4⋊C4—1581no—
1402C4⋊C4—1581no—
1403C4⋊C4—1581no—
1404C4⋊C4—1581no—
1405C4⋊C4—1581no—
1406C4⋊C4—1581no—
1407C4⋊C4—1581no—
1408C4⋊C4D4×D7911yescharacteristic
1409C4⋊C4D4×D7911yescharacteristic
1410C4⋊C4C23×D7911yescharacteristic
1411C4⋊C4C23×D7911yescharacteristic
1412C4⋊C4C23×D7911yescharacteristic
1413C4⋊C4C23×D7911yescharacteristic
1414C4⋊C4C23×D7911yescharacteristic
1415C4⋊C4C23×D7911yescharacteristic
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—21no—
1419C22⋊C4—791no—
1420C22⋊C4—791no—
1421C22⋊C4—791no—
1422C22⋊C4—791no—
1423C22⋊C4—791no—
1424C22⋊C4—791no—
1425C22⋊C4—1581no—
1426C22⋊C4—1581no—
1427C22⋊C4—1581no—
1428C22⋊C4—1581no—
1429C22⋊C4—1581no—
1430C22⋊C4—1581no—
1431C22⋊C4—1581no—
1432C22⋊C4—1581no—
1433C22⋊C4—1581no—
1434C22⋊C4D4×D7911yescharacteristic
1435C22⋊C4D4×D7911yescharacteristic
1436C42—21no—
1437C42—21no—
1438C42—21no—
1439C42—791no—
1440C42—791no—
1441C42—791no—
1442C42—791no—
1443C42—791no—
1444C42—791no—
1445C42—1581no—
1446C42—1581no—
1447C42—1581no—
1448C42—1581no—
1449C42—1581no—
1450C42—1581no—
1451C42—1581no—
1452C42—1581no—
1453C42—1581no—
1454C42C23×D7911yescharacteristic
1455C42C23×D7911yescharacteristic
1456C23—791no—
1457C23—791no—
1458C23—1582no—
1459C23—1582no—
1460C23—1582no—
1461C23C2×D4×D7911yescharacteristic
1462Q8—21no—
1463Q8—21no—
1464Q8—21no—
1465Q8—21no—
1466Q8—81no—
1467Q8—81no—
1468Q8—3162no—
1469Q8—3162no—
1470Q8—6321no—
1471Q8—6321no—
1472Q8—6321no—
1473Q8—6321no—
1474Q8—6321no—
1475Q8—6321no—
1476Q8—1581no—
1477Q8—1581no—
1478Q8—1581no—
1479Q8—1581no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—81no—
1491C2×C4—3162no—
1492C2×C4—3162no—
1493C2×C4—3162no—
1494C2×C4—3162no—
1495C2×C4—3162no—
1496C2×C4—3162no—
1497C2×C4—3162no—
1498C2×C4—3162no—
1499C2×C4—791no—
1500C2×C4—792no—
1501C2×C4—792no—
1502C2×C4—791no—
1503C2×C4—791no—
1504C2×C4—791no—
1505C2×C4—791no—
1506C2×C4—791no—
1507C2×C4—6321no—
1508C2×C4—6321no—
1509C2×C4—6321no—
1510C2×C4—1582no—
1511C2×C4—1582no—
1512C2×C4—1582no—
1513C2×C4—1582no—
1514C2×C4—1582no—
1515C2×C4—1582no—
1516C2×C4—1581no—
1517C2×C4—1581no—
1518C2×C4—1581no—
1519C2×C4—1581no—
1520C2×C4—1581no—
1521C2×C4—1581no—
1522C2×C4—1581no—
1523C2×C4—1581no—
1524C2×C4—1582no—
1525C2×C4—1581no—
1526C2×C4—1581no—
1527C2×C4C2×D4×D7911yescharacteristic
1528C2×C4C2×D4×D7911yescharacteristic
1529C2×C4C2×D4×D7911yescharacteristic
1530C2×C4C2×D4×D7911yescharacteristic
1531C2×C4C2×D4×D7911yescharacteristic
1532C2×C4C24×D7911yescharacteristic
1533C8—21no—
1534C8—21no—
1535C8—21no—
1536C8—21no—
1537C8—1581no—
1538C8—1581no—
1539C8—1581no—
1540C8—1581no—
1541C22—21no—
1542C22—21no—
1543C22—21no—
1544C22—3164no—
1545C22—792no—
1546C22—792no—
1547C22—792no—
1548C22—1581no—
1549C22—1581no—
1550C22—1581no—
1551C22C22×D4×D7911yescharacteristic
1552C4—21no—
1553C4—21no—
1554C4—21no—
1555C4—21no—
1556C4—21no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—3161no—
1566C4—3161no—
1567C4—3161no—
1568C4—3161no—
1569C4—3161no—
1570C4—3161no—
1571C4—3161no—
1572C4—3161no—
1573C4—792no—
1574C4—1581no—
1575C4—1581no—
1576C4—1581no—
1577C4—1581no—
1578C4—1581no—
1579C42−1+4×D7911yescharacteristic
1580C42−1+4×D7911yescharacteristic
1581C2—41no—
1582C2—3161no—
1583C2—794no—
1584C2#536×D7911yescharacteristic
1585C2#577×D7911yescharacteristic
1586C2#578×D7911yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3242C2
socleC22×C79C23×D4
prime radicalC23×D79C2×D4
hypercenter#3242D79
hypocenterC79C2×#3242
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #117 ◁ #3242

Complements

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

NH ≅ G/Ntype
3. #23774675C2semidirect
4. #23774674C2semidirect
5. #23774673C2semidirect
6. #23774672C2semidirect
7. #23774671C2semidirect
8. #23774670C2semidirect
9. #23774669C2semidirect
10. #23774668C2semidirect
11. #23774667C2semidirect
12. #23774666C2semidirect
13. #23774665C2semidirect
14. #23774664C2semidirect
15. #23774663C2semidirect
16. #23774662C2semidirect
17. #23774661C2semidirect
18. #501×D79C2semidirect
19. #499×D79C2semidirect
20. #491×D79C2semidirect
21. #487×D79C2semidirect
26. #479×D79C2semidirect
27. #479×D79C2semidirect
28. #477×D79C2semidirect
29. #475×D79C2semidirect
31. C79×#3242C2semidirect
75. #19098973C22semidirect
76. #19098972C22semidirect
77. #19098971C22semidirect
78. #19098971C22semidirect
79. #19098970C22semidirect
80. #19098970C22semidirect
81. #19098969C22semidirect
82. #19098965C22semidirect
83. #19098964C22semidirect
84. #19098964C22semidirect
85. #19098963C22semidirect
86. #19098963C22semidirect
87. #19098962C22semidirect
88. #19098962C22semidirect
89. #19098933C22semidirect
90. #19098932C22semidirect
91. #19098931C22semidirect
92. #19098930C22semidirect
93. #19098930C22semidirect
94. #19098930C22semidirect
95. #19098930C22semidirect
96. #19098915C22semidirect
97. #19098914C22semidirect
98. #19098913C22semidirect
99. #19098912C22semidirect
100. #19098912C22semidirect
101. #19098912C22semidirect
102. #19098912C22semidirect
131. #19098873C22semidirect
132. #19098873C22semidirect
133. #19098872C22semidirect
134. #19098872C22semidirect
135. #19098871C22semidirect
136. #19098871C22semidirect
137. #19098870C22semidirect
138. #19098870C22semidirect
139. #19098869C22semidirect
140. #19098869C22semidirect
141. #19098868C22semidirect
142. #19098868C22semidirect
143. #19098867C22semidirect
144. #19098867C22semidirect
145. #19098859C22semidirect
146. #19098858C22semidirect
147. #19098857C22semidirect
148. #19098857C22semidirect
149. #19098856C22semidirect
150. #19098856C22semidirect
151. #19098855C22semidirect
152. #19098849C22semidirect
153. #19098848C22semidirect
154. #19098847C22semidirect
155. #19098847C22semidirect
156. #19098846C22semidirect
157. #19098846C22semidirect
158. #19098845C22semidirect
190. #501×C79C22semidirect
191. #499×C79C22semidirect
192. #491×C79C22semidirect
193. #487×C79C22semidirect
198. #479×C79C22semidirect
199. #479×C79C22semidirect
200. #477×C79C22semidirect
201. #475×C79C22semidirect
793. D79#3242direct (N × H)
811. #3242D79direct (N × H)
825. C79C2×#3242semidirect
878. #501C2×D79semidirect
886. #499C2×D79semidirect
894. #491C2×D79semidirect
902. #487C2×D79semidirect
949. #479C2×D79semidirect
950. #479C2×D79semidirect
958. #477C2×D79semidirect
966. #475C2×D79semidirect

Maximal subgroups

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

subgroupindex
#544×D792
#541×D792
#237746752
#237746742
#237746732
#237746722
#237746712
#237746702
#237746692
#237746682
#237746672
#237746662
#237746652
#237746642
#237746632
#237746622
#237746612
#501×D792
#499×D792
#491×D792
#487×D792
#484×D792
#485×D792
#483×D792
#479×D792
#477×D792
#475×D792
#433×D792
C79×#32422
C2×#324279