Finite Group Databasebeta

← #33983079

Subgroups — #33983079

Order 18688.

1708 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624322C211yesmaximal, characteristic, complemented
2#22624003C211yesmaximal, characteristic, complemented
3#22622891C211yesmaximal, characteristic, complemented
4#22622832C211yesmaximal, characteristic, complemented
5#22622760C211yesmaximal, characteristic, complemented
6#22622651C211yesmaximal, characteristic, complemented
7#22622478C211yesmaximal, characteristic, complemented
8#22622448C211yesmaximal, characteristic, complemented
9#22622433C211yesmaximal, characteristic, complemented
10#22622373C211yesmaximal, characteristic, complemented
11#22622345C211yesmaximal, characteristic, complemented
12#22622334C211yesmaximal, characteristic, complemented
13#22622089C211yesmaximal, characteristic, complemented
14#22622089C211yesmaximal, characteristic, complemented
15#22621909C211yesmaximal, characteristic, complemented
16#22621894C211yesmaximal, characteristic, complemented
17#22621860C211yesmaximal, characteristic, complemented
18#22621783C211yesmaximal, characteristic, complemented
19#22621378C211yesmaximal, characteristic, complemented
20#22621344C211yesmaximal, characteristic, complemented
21#22621258C211yesmaximal, characteristic, complemented
22#22621231C211yesmaximal, characteristic, complemented
23#22621201C211yesmaximal, characteristic, complemented
24#22621173C211yesmaximal, characteristic, complemented
25#22620175C211yesmaximal, characteristic, complemented
26#22620132C211yesmaximal, characteristic, complemented
27#22620083C211yesmaximal, characteristic, complemented
28#22619784C211yesmaximal, characteristic, complemented
29#22619763C211yesmaximal, characteristic, complemented
30#22619721C211yesmaximal, characteristic, complemented
31C73×#2992C211yesmaximal, characteristic, complemented
32#17989334—21no—
33#17989334—21no—
34#17989310C2211yescharacteristic
35#17989307C2211yescharacteristic
36#17989302C2211yescharacteristic
37#17989302C2211yescharacteristic
38#17989302C2211yescharacteristic, complemented
39#17989297C2211yescharacteristic
40#17989297C2211yescharacteristic, complemented
41#17989283C2211yescharacteristic
42#17989283C2211yescharacteristic
43#17989283C2211yescharacteristic, complemented
44#17989282—21no—
45#17989277C2211yescharacteristic
46#17989275—21no—
47#17989269—21no—
48#17989267—21no—
49#17989265—21no—
50Q8×D292C2211yescharacteristic, complemented
51#17989245—21no—
52#17989242C2211yescharacteristic
53#17989241C2211yescharacteristic
54#17989233C2211yescharacteristic
55#17989233C2211yescharacteristic
56#17989215C2211yescharacteristic
57#17989215C2211yescharacteristic, complemented
58#17989208C2211yescharacteristic
59#17989203—21no—
60#17989203—21no—
61#17989199C2211yescharacteristic
62#17989192C2211yescharacteristic
63#17989192C2211yescharacteristic, complemented
64#17989183—21no—
65#17989169—21no—
66#17989166—21no—
67#17989160—21no—
68#17989144C2211yescharacteristic, complemented
69#17989137C2211yescharacteristic, complemented
70#17989121C2211yescharacteristic
71#17989120—21no—
72#126×D73—21no—
73#17989067C2211yescharacteristic
74#17989061C2211yescharacteristic
75C4×#11924028C2211yescharacteristic
76#17988996C2211yescharacteristic, complemented
77#17988996C2211yescharacteristic, complemented
78#17988996C2211yescharacteristic, complemented
79#17988996C2211yescharacteristic, complemented
80#17988989C2211yescharacteristic, complemented
81#17988985C2211yescharacteristic, complemented
82#17988956C2211yescharacteristic, complemented
83#17988947C2211yescharacteristic
84#17988947C2211yescharacteristic
85#17988947C2211yescharacteristic
86#17988942C2211yescharacteristic
87#17988938C2211yescharacteristic, complemented
88#17988929C2211yescharacteristic
89#17988929C2211yescharacteristic
90#17988929C2211yescharacteristic, complemented
91#17988929C2211yescharacteristic, complemented
92#17988929C2211yescharacteristic, complemented
93#17988923C2211yescharacteristic
94#17988918C2211yescharacteristic
95#17988918C2211yescharacteristic, complemented
96#17988912C2211yescharacteristic
97#17988912C2211yescharacteristic
98#17988912C2211yescharacteristic
99#17988912C2211yescharacteristic
100#17988912C2211yescharacteristic
101#17988912C2211yescharacteristic, complemented
102#17988912C2211yescharacteristic, complemented
103#17988906C2211yescharacteristic
104#17988906C2211yescharacteristic, complemented
105#17988901C2211yescharacteristic, complemented
106#17988895C2211yescharacteristic, complemented
107#17988895C2211yescharacteristic, complemented
108#17988895C2211yescharacteristic, complemented
109#17988895C2211yescharacteristic, complemented
110#17988895C2211yescharacteristic, complemented
111#17988888C2211yescharacteristic
112#17988888C2211yescharacteristic
113#17988888C2211yescharacteristic
114#17988888C2211yescharacteristic
115#17988888C2211yescharacteristic
116#17988888C2211yescharacteristic
117#17988888C2211yescharacteristic
118#17988888C2211yescharacteristic, complemented
119#17988888C2211yescharacteristic, complemented
120#17988888C2211yescharacteristic, complemented
121#17988888C2211yescharacteristic, complemented
122#17988883C2211yescharacteristic, complemented
123#17988883C2211yescharacteristic, complemented
124#17988883C2211yescharacteristic, complemented
125#17988878C2211yescharacteristic
126#17988878C2211yescharacteristic
127#17988878C2211yescharacteristic
128#17988878C2211yescharacteristic, complemented
129#17988873C2211yescharacteristic, complemented
130#17988873C2211yescharacteristic, complemented
131#17988868C2211yescharacteristic
132#17988868C2211yescharacteristic
133#17988868C2211yescharacteristic
134#17988868C2211yescharacteristic
135#17988868C2211yescharacteristic, complemented
136#17988840C2211yescharacteristic
137#17988833C2211yescharacteristic
138#17988833C2211yescharacteristic
139#17988833C2211yescharacteristic, complemented
140#17988823C2211yescharacteristic
141#17988823C2211yescharacteristic
142#17988823C2211yescharacteristic
143#17988816C2211yescharacteristic
144#17988816C2211yescharacteristic
145#17988816C2211yescharacteristic, complemented
146#17988816C2211yescharacteristic, complemented
147#17988816C2211yescharacteristic, complemented
148#17988803C2211yescharacteristic
149#17988803C2211yescharacteristic
150#17988803C2211yescharacteristic
151#17988803C2211yescharacteristic
152#17988793C2211yescharacteristic, complemented
153#17988793C2211yescharacteristic, complemented
154#17988788C2211yescharacteristic, complemented
155#17988788C2211yescharacteristic, complemented
156#17988783C2211yescharacteristic
157#17988783C2211yescharacteristic
158#17988734C2211yescharacteristic
159#17988734C2211yescharacteristic
160#17988734C2211yescharacteristic
161#17988734C2211yescharacteristic
162#17988723C2211yescharacteristic
163#17988723C2211yescharacteristic
164#17988700C2211yescharacteristic
165#17988700C2211yescharacteristic
166#17988700C2211yescharacteristic
167#17988700C2211yescharacteristic
168#17988700C2211yescharacteristic
169#17988689C2211yescharacteristic, complemented
170#17988689C2211yescharacteristic, complemented
171#17988689C2211yescharacteristic, complemented
172C4×#11924017C2211yescharacteristic, complemented
173C4×D584C2211yescharacteristic
174C4×D584C2211yescharacteristic
175C4×D584C2211yescharacteristic
176#17988629C2211yescharacteristic
177#17988629C2211yescharacteristic, complemented
178#17988625C2211yescharacteristic
179#17988625C2211yescharacteristic, complemented
180#17988625C2211yescharacteristic, complemented
181C2×#14556525C2211yescharacteristic, complemented
182#17988593C2211yescharacteristic
183#17988589C2211yescharacteristic
184#17988584C2211yescharacteristic
185#17988584C2211yescharacteristic
186#17988584C2211yescharacteristic
187C2×#14556513C2211yescharacteristic
188#529×C73C2211yescharacteristic
189#446×C73C2211yescharacteristic, complemented
190#446×C73C2211yescharacteristic, complemented
191#435×C73C2211yescharacteristic
192#435×C73C2211yescharacteristic
193#435×C73C2211yescharacteristic
194#435×C73C2211yescharacteristic, complemented
195C8×D4×C73C2211yescharacteristic
196C8×D4×C73C2211yescharacteristic, complemented
197#433×C73C2211yescharacteristic
198#433×C73C2211yescharacteristic, complemented
199#432×C73C2211yescharacteristic, complemented
200#424×C73C2211yescharacteristic
201#424×C73C2211yescharacteristic, complemented
202C2×C4⋊C8×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028C2311yescharacteristic
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C2×Q8×D73—21no—
208C22×D292C2311yescharacteristic
209C2×#11924017C2311yescharacteristic
210C2×#11924017C2311yescharacteristic
211C2×#11924017C2311yescharacteristic
212C2×#11924017C2311yescharacteristic
213C2×D584C2311yescharacteristic
214C2×D584C2311yescharacteristic
215C2×D584C2311yescharacteristic
216C2×D584C2311yescharacteristic
217#14556591C2311yescharacteristic
218#14556591C2311yescharacteristic
219#14556591C2311yescharacteristic
220#14556591C2311yescharacteristic
221#14556591C2311yescharacteristic
222#14556591C2311yescharacteristic
223#14556591C2311yescharacteristic
224#14556590—21no—
225#14556590—21no—
226#14556588C2311yescharacteristic
227#14556586—21no—
228#14556586—21no—
229#14556586—21no—
230#14556586—21no—
231#14556586—21no—
232#14556586—21no—
233#14556585—21no—
234#14556584—21no—
235#14556584—21no—
236#14556584—21no—
237#14556584—21no—
238#14556584—21no—
239#14556583C2311yescharacteristic
240#14556583C2311yescharacteristic
241#14556583C2311yescharacteristic
242#14556583C2311yescharacteristic
243#14556583C2311yescharacteristic
244#14556583C2311yescharacteristic
245#14556582—21no—
246#14556582—21no—
247#14556581—21no—
248#14556581—21no—
249#14556581—21no—
250#14556579—21no—
251#14556579C2311yescharacteristic
252#14556579C2311yescharacteristic
253#14556578—21no—
254#14556577—21no—
255#14556577—21no—
256#14556577—21no—
257#14556577—21no—
258#14556577—21no—
259#14556577—21no—
260#14556577—21no—
261#14556576—21no—
262#14556576—21no—
263#14556576—21no—
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556575—21no—
268#14556575—21no—
269#14556574—21no—
270#14556573—21no—
271#14556573—21no—
272#14556573—21no—
273#14556573—21no—
274#14556573—21no—
275#14556573—21no—
276#14556572—21no—
277#14556571—21no—
278#14556571—21no—
279#14556571—21no—
280#14556571—21no—
281#14556570—21no—
282#14556570—21no—
283#14556570C2311yescharacteristic
284#14556570C2311yescharacteristic
285#14556570C2311yescharacteristic
286#14556570C2311yescharacteristic
287#14556569—21no—
288#14556569—21no—
289#14556569—21no—
290#14556569—21no—
291#14556569—21no—
292#14556568—21no—
293#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556567—21no—
297#14556567—21no—
298#14556567—21no—
299#14556565—21no—
300#14556565C2311yescharacteristic
301#14556565C2311yescharacteristic
302#14556565C2311yescharacteristic
303#14556565C2311yescharacteristic
304#14556565C2311yescharacteristic
305#14556565C2311yescharacteristic
306#14556565C2311yescharacteristic
307#14556565C2311yescharacteristic
308#14556564—21no—
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556563—21no—
315#14556563—21no—
316#14556563—21no—
317#14556562—21no—
318#14556562—21no—
319#14556562—21no—
320#14556562—21no—
321#14556559—21no—
322#14556559—21no—
323C4×Dic146—21no—
324C4×Dic146—21no—
325C4×Dic146C2311yescharacteristic
326C4×Dic146C2311yescharacteristic
327C4×Dic146C2311yescharacteristic
328C4×Dic146C2311yescharacteristic
329#14556556—21no—
330C4×D292—21no—
331C4×D292C2311yescharacteristic
332C4×D292C2311yescharacteristic
333C4×D292C2311yescharacteristic
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336C4×D292C2311yescharacteristic
337C4×D292C2311yescharacteristic
338C4×D292C2311yescharacteristic
339C4×D292C2311yescharacteristic
340C4×D292C2311yescharacteristic
341C4×D292C2311yescharacteristic
342C4×D292C2311yescharacteristic
343#14556553—21no—
344#14556553—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556550C2311yescharacteristic
354#14556550C2311yescharacteristic
355#14556550C2311yescharacteristic
356#14556550C2311yescharacteristic
357#14556550C2311yescharacteristic
358#14556550C2311yescharacteristic
359#14556549—21no—
360#14556549—21no—
361#14556549—21no—
362#14556549—21no—
363#14556549—21no—
364#14556548—21no—
365#14556548—21no—
366#14556547—21no—
367C2×C4⋊Dic73C2311yescharacteristic
368C2×C4⋊Dic73C2311yescharacteristic
369C2×C4⋊Dic73C2311yescharacteristic
370C4⋊C4×D73—21no—
371C4⋊C4×D73—21no—
372C4⋊C4×D73—21no—
373C4⋊C4×D73—21no—
374C22⋊C4×D73—21no—
375C22⋊C4×D73—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C42×D73—21no—
379#14556525C2311yescharacteristic
380#14556525C2311yescharacteristic
381#14556525C2311yescharacteristic
382#14556525C2311yescharacteristic
383#14556525C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556525C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556523C2311yescharacteristic
395#14556523C2311yescharacteristic
396#14556523C2311yescharacteristic
397#14556523C2311yescharacteristic
398#14556523C2311yescharacteristic
399#14556523C2311yescharacteristic
400#14556523C2311yescharacteristic
401#14556523C2311yescharacteristic
402#14556523C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556513C2311yescharacteristic
427#14556513C2311yescharacteristic
428#14556513C2311yescharacteristic
429#14556513C2311yescharacteristic
430#14556513C2311yescharacteristic
431#14556513C2311yescharacteristic
432#14556513C2311yescharacteristic
433#14556513C2311yescharacteristic
434#14556513C2311yescharacteristic
435C2×M16×C73C2311yescharacteristic
436C2×M16×C73C2311yescharacteristic
437C22×C8×C73C2311yescharacteristic
438C22×C8×C73C2311yescharacteristic
439C22×C8×C73C2311yescharacteristic
440C22×C8×C73C2311yescharacteristic
441#126×C73D411yescharacteristic
442#126×C73D411yescharacteristic
443#125×C73D411yescharacteristic
444#124×C73D411yescharacteristic
445#123×C73D411yescharacteristic
446#123×C73D411yescharacteristic
447C22⋊Q8×C73D411yescharacteristic
448#121×C73D411yescharacteristic
449C4×Q8×C73C2311yescharacteristic
450C4×D4×C73C2311yescharacteristic
451C4×D4×C73C2311yescharacteristic
452C4×D4×C73C2311yescharacteristic
453#117×C73C2311yescharacteristic
454#117×C73C2311yescharacteristic
455C2×C42×C73C2311yescharacteristic
456C4⋊C8×C73C2311yescharacteristic
457C4⋊C8×C73C2311yescharacteristic
458C4⋊C8×C73C2311yescharacteristic
459C4⋊C8×C73C2311yescharacteristic
460C4⋊C8×C73C2311yescharacteristic
461C4⋊C8×C73C2311yescharacteristic
462C4⋊C8×C73C2311yescharacteristic
463C4⋊C8×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465C4⋊C8×C73C2311yescharacteristic
466C22⋊C8×C73C2311yescharacteristic
467C22⋊C8×C73C2311yescharacteristic
468C22⋊C8×C73C2311yescharacteristic
469C22⋊C8×C73C2311yescharacteristic
470C22⋊C8×C73C2311yescharacteristic
471C22⋊C8×C73C2311yescharacteristic
472#97×C73C2311yescharacteristic
473#97×C73C2311yescharacteristic
474#97×C73C2311yescharacteristic
475#97×C73C2311yescharacteristic
476C4×C8×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C23×D73—21no—
479#11924028—22no—
480#11924028—22no—
481#11924028—41no—
482#11924028—41no—
483#11924028—82no—
484#11924027—82no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146C2411yescharacteristic
492C2×Dic146C2411yescharacteristic
493Q8×D73—82no—
494C2×D292—22no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—41no—
499C2×D292C2411yescharacteristic
500C2×D292C2411yescharacteristic
501C2×D292C2411yescharacteristic
502C2×D292C2411yescharacteristic
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C22×Dic73—21no—
514C22×Dic73—21no—
515C22×Dic73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530#11924017—41no—
531#11924017—41no—
532#11924017—41no—
533#11924017—41no—
534D584—22no—
535D584—22no—
536D584—41no—
537D584—41no—
538C4⋊Dic73—21no—
539C4⋊Dic73—21no—
540C4⋊Dic73—21no—
541C4⋊Dic73—21no—
542C4⋊Dic73—21no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73C2411yescharacteristic
550C4⋊Dic73C2411yescharacteristic
551C4⋊Dic73C2411yescharacteristic
552C4⋊Dic73C2411yescharacteristic
553C4⋊Dic73C2411yescharacteristic
554C4⋊Dic73C2411yescharacteristic
555C4⋊Dic73C2411yescharacteristic
556C4⋊Dic73C2411yescharacteristic
557C4⋊Dic73C2411yescharacteristic
558C4⋊Dic73C2411yescharacteristic
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579C22⋊Dic73—21no—
580C22⋊Dic73—21no—
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
583C22⋊Dic73—21no—
584C22⋊Dic73—21no—
585C22⋊Dic73—21no—
586C22⋊Dic73—21no—
587C22⋊Dic73—21no—
588C22⋊Dic73—21no—
589#11924005—21no—
590#11924005—21no—
591#11924005—21no—
592#11924005—21no—
593#11924005—21no—
594#11924005—21no—
595#11924005—21no—
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613C4×Dic73—21no—
614C4×Dic73—21no—
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73—21no—
622C4×Dic73—21no—
623C2×Q8×C73C2×D411yescharacteristic
624C2×D4×C73C2×D411yescharacteristic
625C2×D4×C73C2×D411yescharacteristic
626C2×D4×C73C2×D411yescharacteristic
627C22×C4×C73C2×D411yescharacteristic
628C22×C4×C73C2×D411yescharacteristic
629C22×C4×C73C2411yescharacteristic
630C22×C4×C73C2411yescharacteristic
631C22×C4×C73C2411yescharacteristic
632M16×C73—41no—
633M16×C73—41no—
634C2×C8×C73—41no—
635C2×C8×C73—41no—
636C2×C8×C73—41no—
637C2×C8×C73—41no—
638C2×C8×C73C2411yescharacteristic
639C2×C8×C73C2411yescharacteristic
640C2×C8×C73C2411yescharacteristic
641C2×C8×C73C2411yescharacteristic
642C2×C8×C73C2411yescharacteristic
643C2×C8×C73C2411yescharacteristic
644C2×C8×C73C2411yescharacteristic
645C2×C8×C73C2411yescharacteristic
646C4⋊C4×C73C2×D411yescharacteristic
647C4⋊C4×C73C2×D411yescharacteristic
648C4⋊C4×C73C2×D411yescharacteristic
649C4⋊C4×C73C2×D411yescharacteristic
650C4⋊C4×C73C2×D411yescharacteristic
651C4⋊C4×C73C2×D411yescharacteristic
652C4⋊C4×C73C2×D411yescharacteristic
653C4⋊C4×C73C2×D411yescharacteristic
654C4⋊C4×C73C2×D411yescharacteristic
655C4⋊C4×C73C2×D411yescharacteristic
656C22⋊C4×C73C2×D411yescharacteristic
657C22⋊C4×C73C2×D411yescharacteristic
658C22⋊C4×C73C2×D411yescharacteristic
659C22⋊C4×C73C2×D411yescharacteristic
660C22⋊C4×C73C2×D411yescharacteristic
661C22⋊C4×C73C2×D411yescharacteristic
662C22⋊C4×C73C2×D411yescharacteristic
663C22⋊C4×C73C2×D411yescharacteristic
664C22⋊C4×C73C2×D411yescharacteristic
665C22⋊C4×C73C2×D411yescharacteristic
666C42×C73C2×D411yescharacteristic
667C42×C73C2×D411yescharacteristic
668C42×C73C2411yescharacteristic
669C42×C73C2411yescharacteristic
670C42×C73C2411yescharacteristic
671C42×C73C2411yescharacteristic
672C23×C73C22×D411yescharacteristic
673C23×C73C22×D411yescharacteristic
674C23×C73C22×D411yescharacteristic
675C22×D73—21no—
676C22×D73—21no—
677C22×D73—21no—
678C22×D73—21no—
679C22×D73—42no—
680C22×D73—81no—
681C22×D73—81no—
682Q8×C73—41no—
683D4×C73—41no—
684D4×C73—41no—
685D4×C73—41no—
686C2×C4×C73—21no—
687C2×C4×C73—21no—
688C2×C4×C73—21no—
689C2×C4×C73—21no—
690C2×C4×C73—21no—
691C2×C4×C73—21no—
692C2×C4×C73—41no—
693C2×C4×C73—41no—
694C2×C4×C73C22×D411yescharacteristic
695C2×C4×C73C22×D411yescharacteristic
696C2×C4×C73C22×D411yescharacteristic
697C2×C4×C73C22×D411yescharacteristic
698C2×C4×C73C22×D411yescharacteristic
699C2×C4×C73C22×D411yescharacteristic
700C2×C4×C73C22×D411yescharacteristic
701C2×C4×C73C22×D411yescharacteristic
702C2×C4×C73C22×D411yescharacteristic
703C2×C4×C73C22×D411yescharacteristic
704C2×C4×C73C22×D411yescharacteristic
705C2×C4×C73C2511yescharacteristic
706C22⋊D73—42no—
707C22⋊D73—42no—
708C22⋊D73—81no—
709C22⋊D73—81no—
710C22⋊D73—81no—
711C22⋊D73—81no—
712C22⋊D73—81no—
713C22⋊D73—81no—
714C22⋊D73—81no—
715C22⋊D73—81no—
716C2×Dic73—21no—
717C2×Dic73—21no—
718C2×Dic73—21no—
719C2×Dic73—21no—
720C2×Dic73—21no—
721C2×Dic73—21no—
722C2×Dic73—21no—
723C2×Dic73—21no—
724C2×Dic73—21no—
725C2×Dic73—21no—
726C2×Dic73—21no—
727C2×Dic73—21no—
728C2×Dic73—81no—
729C2×Dic73—81no—
730C2×Dic73—81no—
731D292—21no—
732D292—21no—
733D292—21no—
734D292—21no—
735D292—21no—
736D292—21no—
737D292—21no—
738D292—42no—
739D292—81no—
740D292—81no—
741D2922−1+412yes—
742C4×D73—42no—
743C4×D73—42no—
744C4×D73—42no—
745C4×D73—42no—
746C4×D73—81no—
747C4×D73—81no—
748C4×D73—81no—
749C4×D73—81no—
750C4×D73—81no—
751C4×D73—81no—
752C4×D73—81no—
753C4×D73—81no—
754C4×D73—81no—
755C4×D73—81no—
756Dic146—21no—
757Dic146—21no—
758Dic146—21no—
759Dic146—21no—
760Dic146—42no—
761Dic146—81no—
762Dic146—81no—
763Dic146—81no—
764Dic146—81no—
765Dic146—81no—
766C8×C73—21no—
767C8×C73—21no—
768C8×C73—21no—
769C8×C73—21no—
770C8×C73—21no—
771C8×C73—21no—
772C8×C73—21no—
773C8×C73—21no—
774C22×C73—21no—
775C22×C73—21no—
776C22×C73—21no—
777C22×C73—21no—
778C22×C73—21no—
779C22×C73—21no—
780C22×C73—21no—
781C22×C73—21no—
782C22×C73—21no—
783C22×C73C23×D411yescharacteristic
784C2×D73—22no—
785C2×D73—41no—
786C2×D73—41no—
787C2×D73—41no—
788C2×D73—41no—
789C2×D73—41no—
790C2×D73—41no—
791C2×D73—41no—
792C2×D73—41no—
793C2×D73—41no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—162no—
797C4×C73—21no—
798C4×C73—21no—
799C4×C73—21no—
800C4×C73—21no—
801C4×C73—21no—
802C4×C73—21no—
803C4×C73—21no—
804C4×C73—21no—
805C4×C73—21no—
806C4×C73—21no—
807C4×C73—21no—
808C4×C73C2×2−1+411yescharacteristic
809C4×C73#58511yescharacteristic
810Dic73—41no—
811Dic73—41no—
812Dic73—41no—
813Dic73—41no—
814Dic73—41no—
815Dic73—41no—
816Dic73—41no—
817Dic73—41no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822#62171—731nomaximal, Sylow
823C2×C73—41no—
824C2×C73—41no—
825C2×C73—41no—
826C2×C73#348911yescharacteristic
827C2×C73#358411yescharacteristic
828C2×C73#358511yescharacteristic
829D73—42no—
830D73—81no—
831D73—81no—
832D73—81no—
833#3547—731no—
834#3521—731no—
835#3389—731no—
836#3384—731no—
837#3376—731no—
838#3367—731no—
839#3350—731no—
840#3348—731no—
841#3347—731no—
842#3343—731no—
843#3340—731no—
844#3339—731no—
845#3319—731no—
846#3319—731no—
847#3307—731no—
848#3306—731no—
849#3303—731no—
850#3297—731no—
851#3260—731no—
852#3257—731no—
853#3247—731no—
854#3244—731no—
855#3242—731no—
856#3240—731no—
857#3122—731no—
858#3119—731no—
859#3115—731no—
860#3083—731no—
861#3081—731no—
862#3076—731no—
863#2992D7311yescharacteristic, complemented
864C73#6217111yescharacteristic, complemented, Sylow
865#562—1461no—
866#562—1461no—
867#556—731no—
868#556—731no—
869#555—731no—
870#555—731no—
871#555—731no—
872#554—731no—
873#554—731no—
874#553—731no—
875#553—731no—
876#553—731no—
877#553—1461no—
878#552—731no—
879#552—1461no—
880#552—1461no—
881#551—1461no—
882#551—1461no—
883D4×Q8—731no—
884#548—1461no—
885#547—731no—
886#547—731no—
887#546—731no—
888#546—731no—
889#544—731no—
890#544—731no—
891#542—731no—
892#542—1461no—
893#542—1461no—
894#541—731no—
895#540—731no—
896#540—731no—
897#539—1461no—
898#538—1461no—
899#537—1461no—
900#536—1461no—
901#533—731no—
902#532—731no—
903#529—731no—
904#529—1461no—
905#529C2×D7311yescharacteristic
906C2×#126—1461no—
907#520—731no—
908#518—731no—
909C4×#41—731no—
910#501—731no—
911#501—731no—
912#501—731no—
913#501—731no—
914#499—731no—
915#498—731no—
916#491—731no—
917#489—731no—
918#489—731no—
919#489—731no—
920#488—731no—
921#487—731no—
922#485—731no—
923#485—731no—
924#485—731no—
925#485—731no—
926#485—731no—
927#484—731no—
928#483—731no—
929#483—731no—
930#482—731no—
931#482—731no—
932#482—731no—
933#482—731no—
934#482—731no—
935#482—731no—
936#482—731no—
937#481—731no—
938#481—731no—
939#480—731no—
940#479—731no—
941#479—731no—
942#479—731no—
943#479—731no—
944#479—731no—
945#478—731no—
946#478—731no—
947#478—731no—
948#478—731no—
949#478—731no—
950#478—731no—
951#478—731no—
952#478—731no—
953#478—731no—
954#478—731no—
955#478—731no—
956#477—731no—
957#477—731no—
958#477—731no—
959#476—731no—
960#476—731no—
961#476—731no—
962#476—731no—
963#475—731no—
964#475—731no—
965#474—731no—
966#474—731no—
967#474—731no—
968#474—731no—
969#474—731no—
970#469—731no—
971#468—731no—
972#468—731no—
973#468—731no—
974#466—731no—
975#466—731no—
976#466—731no—
977#465—731no—
978#465—731no—
979#465—731no—
980#465—731no—
981#465—731no—
982#463—731no—
983#463—731no—
984#463—731no—
985#463—731no—
986#461—731no—
987#461—731no—
988#460—731no—
989#460—731no—
990#459—731no—
991#459—731no—
992#449—731no—
993#449—731no—
994#449—731no—
995#449—731no—
996#447—731no—
997#447—731no—
998#446C2×D7311yescharacteristic, complemented
999#446C2×D7311yescharacteristic, complemented
1000#442—731no—
1001#442—731no—
1002#442—731no—
1003#442—731no—
1004#442—731no—
1005#440—731no—
1006#440—731no—
1007#440—731no—
1008C4×SD16—731no—
1009C4×D8—731no—
1010C4×D8—731no—
1011C4×D8—731no—
1012#435C2×D7311yescharacteristic
1013#435C2×D7311yescharacteristic
1014#435C2×D7311yescharacteristic
1015#435C2×D7311yescharacteristic, complemented
1016C8×D4C2×D7311yescharacteristic
1017C8×D4C2×D7311yescharacteristic, complemented
1018#433C2×D7311yescharacteristic
1019#433C2×D7311yescharacteristic, complemented
1020#432C2×D7311yescharacteristic, complemented
1021#428—731no—
1022#428—731no—
1023#427—731no—
1024#427—731no—
1025#427—731no—
1026C2×#107—731no—
1027#424C2×D7311yescharacteristic
1028#424C2×D7311yescharacteristic, complemented
1029C2×C4⋊C8C2×D7311yescharacteristic, complemented
1030#418—731no—
1031#417—731no—
1032#416—731no—
1033#416—731no—
1034#416—731no—
1035C2×#102—731no—
1036C2×#41—731no—
1037C2×#41—731no—
1038C2×#41—1461no—
1039C2×#41—1461no—
1040C22×Q8—1461no—
1041C22×D4—731no—
1042C2×SD16—731no—
1043C2×SD16—731no—
1044C2×SD16—731no—
1045C2×SD16—731no—
1046C2×D8—731no—
1047C2×D8—731no—
1048C2×D8—731no—
1049C2×D8—731no—
1050C2×M16C22×D7311yescharacteristic
1051C2×M16C22×D7311yescharacteristic
1052C22×C8C22×D7311yescharacteristic
1053C22×C8C22×D7311yescharacteristic
1054C22×C8C22×D7311yescharacteristic
1055C22×C8C22×D7311yescharacteristic
1056C4⋊Q8—731no—
1057C4⋊Q8—731no—
1058C4⋊Q8—731no—
1059C4⋊Q8—731no—
1060C4⋊Q8—731no—
1061C4⋊Q8—731no—
1062C4⋊Q8—731no—
1063C4⋊Q8—1461no—
1064C4⋊Q8—1461no—
1065#127—731no—
1066#126—1461no—
1067#126—1461no—
1068#126—1461no—
1069#126—1461no—
1070#126—1461no—
1071#126—1461no—
1072#126—1461no—
1073#126—1461no—
1074#126—1461no—
1075#126—1461no—
1076#126—1461no—
1077#126—1461no—
1078#126D29211yescharacteristic
1079#126D29211yescharacteristic
1080#125—731no—
1081#125—731no—
1082#125—731no—
1083#125—731no—
1084#125—731no—
1085#125—731no—
1086#125—1461no—
1087#125—1461no—
1088#125—1461no—
1089#125—1461no—
1090#125—1461no—
1091#125D29211yescharacteristic
1092#124—731no—
1093#124—731no—
1094#124—1461no—
1095#124—1461no—
1096#124—1461no—
1097#124—1461no—
1098#124—1461no—
1099#124—1461no—
1100#124—1461no—
1101#124—1461no—
1102#124—1461no—
1103#124D29211yescharacteristic
1104#123—1461no—
1105#123—1461no—
1106#123—1461no—
1107#123—1461no—
1108#123—1461no—
1109#123—1461no—
1110#123—1461no—
1111#123—1461no—
1112#123—1461no—
1113#123—1461no—
1114#123—1461no—
1115#123—1461no—
1116#123—1461no—
1117#123—1461no—
1118#123—1461no—
1119#123—1461no—
1120#123D29211yescharacteristic
1121#123D29211yescharacteristic
1122C22⋊Q8—731no—
1123C22⋊Q8—731no—
1124C22⋊Q8—731no—
1125C22⋊Q8—731no—
1126C22⋊Q8—1461no—
1127C22⋊Q8—1461no—
1128C22⋊Q8—1461no—
1129C22⋊Q8—1461no—
1130C22⋊Q8—1461no—
1131C22⋊Q8—1461no—
1132C22⋊Q8—1461no—
1133C22⋊Q8—1461no—
1134C22⋊Q8—1461no—
1135C22⋊Q8—1461no—
1136C22⋊Q8—1461no—
1137C22⋊Q8—1461no—
1138C22⋊Q8—1461no—
1139C22⋊Q8—1461no—
1140C22⋊Q8—1461no—
1141C22⋊Q8—1461no—
1142C22⋊Q8—1461no—
1143C22⋊Q8—1461no—
1144C22⋊Q8D29211yescharacteristic
1145#121—731no—
1146#121—731no—
1147#121—731no—
1148#121—731no—
1149#121—731no—
1150#121—731no—
1151#121—731no—
1152#121—731no—
1153#121—1461no—
1154#121—1461no—
1155#121—1461no—
1156#121—1461no—
1157#121—1461no—
1158#121—1461no—
1159#121—1461no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121—1461no—
1166#121—1461no—
1167#121D29211yescharacteristic
1168#120—1461no—
1169#120—1461no—
1170C4×Q8—731no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—1461no—
1175C4×Q8—1461no—
1176C4×Q8—1461no—
1177C4×Q8C22×D7311yescharacteristic
1178C4×D4—731no—
1179C4×D4—731no—
1180C4×D4—731no—
1181C4×D4—731no—
1182C4×D4—731no—
1183C4×D4—731no—
1184C4×D4—731no—
1185C4×D4—731no—
1186C4×D4—731no—
1187C4×D4—731no—
1188C4×D4—731no—
1189C4×D4—731no—
1190C4×D4—1461no—
1191C4×D4—1461no—
1192C4×D4—1461no—
1193C4×D4—1461no—
1194C4×D4—1461no—
1195C4×D4—1461no—
1196C4×D4—1461no—
1197C4×D4—1461no—
1198C4×D4—1461no—
1199C4×D4—1461no—
1200C4×D4—1461no—
1201C4×D4C22×D7311yescharacteristic
1202C4×D4C22×D7311yescharacteristic
1203C4×D4C22×D7311yescharacteristic
1204#117—731no—
1205#117—731no—
1206#117—731no—
1207#117—731no—
1208#117—731no—
1209#117—731no—
1210#117—1461no—
1211#117—1461no—
1212#117—1461no—
1213#117—1461no—
1214#117—1461no—
1215#117—1461no—
1216#117—1461no—
1217#117—1461no—
1218#117C22×D7311yescharacteristic
1219#117C22×D7311yescharacteristic
1220C2×C4⋊C4—731no—
1221C2×C4⋊C4—731no—
1222C2×C4⋊C4—731no—
1223C2×C4⋊C4—1461no—
1224C2×C4⋊C4—1461no—
1225C2×C4⋊C4—1461no—
1226C2×C4⋊C4—1461no—
1227C2×C22⋊C4—1461no—
1228C2×C22⋊C4—1461no—
1229C2×C22⋊C4—1461no—
1230C2×C22⋊C4—1461no—
1231C2×C42—1461no—
1232C2×C42C22×D7311yescharacteristic
1233#107—731no—
1234#107—731no—
1235#107—731no—
1236#107—731no—
1237#107—731no—
1238#107—731no—
1239#107—731no—
1240#107—731no—
1241#107—731no—
1242#107—731no—
1243#107—731no—
1244#107—731no—
1245#106—731no—
1246#106—731no—
1247#106—731no—
1248#106—731no—
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106—731no—
1254#106—731no—
1255#106—731no—
1256#106—731no—
1257C4⋊C8C22×D7311yescharacteristic
1258C4⋊C8C22×D7311yescharacteristic
1259C4⋊C8C22×D7311yescharacteristic
1260C4⋊C8C22×D7311yescharacteristic
1261C4⋊C8C22×D7311yescharacteristic
1262C4⋊C8C22×D7311yescharacteristic
1263C4⋊C8C22×D7311yescharacteristic
1264C4⋊C8C22×D7311yescharacteristic
1265C4⋊C8C22×D7311yescharacteristic
1266C4⋊C8C22×D7311yescharacteristic
1267#103—731no—
1268#103—731no—
1269#103—731no—
1270#103—731no—
1271#103—731no—
1272#103—731no—
1273#103—731no—
1274#103—731no—
1275#103—731no—
1276#103—731no—
1277#103—731no—
1278#103—731no—
1279#102—731no—
1280#102—731no—
1281#102—731no—
1282#102—731no—
1283#102—731no—
1284#102—731no—
1285#102—731no—
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102—731no—
1291#102—731no—
1292#102—731no—
1293#102—731no—
1294#102—731no—
1295#102—731no—
1296#102—731no—
1297#102—731no—
1298#102—731no—
1299C22⋊C8C22×D7311yescharacteristic
1300C22⋊C8C22×D7311yescharacteristic
1301C22⋊C8C22×D7311yescharacteristic
1302C22⋊C8C22×D7311yescharacteristic
1303C22⋊C8C22×D7311yescharacteristic
1304C22⋊C8C22×D7311yescharacteristic
1305#97C22×D7311yescharacteristic
1306#97C22×D7311yescharacteristic
1307#97C22×D7311yescharacteristic
1308#97C22×D7311yescharacteristic
1309C4×C8C22×D7311yescharacteristic
1310C4×C8C22×D7311yescharacteristic
1311C24—1461no—
1312#41—2921no—
1313#41—2921no—
1314#41—5842no—
1315#41—5842no—
1316#41—1462no—
1317#41—1462no—
1318C2×Q8—5842no—
1319C2×Q8—731no—
1320C2×Q8—731no—
1321C2×Q8—1461no—
1322C2×Q8—1461no—
1323C2×Q8—1461no—
1324C2×Q8—1461no—
1325C2×Q8—1461no—
1326C2×Q8—1461no—
1327C2×Q8C2×D29211yescharacteristic
1328C2×D4—2921no—
1329C2×D4—731no—
1330C2×D4—731no—
1331C2×D4—731no—
1332C2×D4—731no—
1333C2×D4—1462no—
1334C2×D4—1461no—
1335C2×D4—1461no—
1336C2×D4—1461no—
1337C2×D4—1461no—
1338C2×D4—1461no—
1339C2×D4—1461no—
1340C2×D4—1461no—
1341C2×D4—1461no—
1342C2×D4—1461no—
1343C2×D4—1461no—
1344C2×D4—1461no—
1345C2×D4—1461no—
1346C2×D4—1461no—
1347C2×D4C2×D29211yescharacteristic
1348C2×D4C2×D29211yescharacteristic
1349C2×D4C2×D29211yescharacteristic
1350C22×C4—1461no—
1351C22×C4—1461no—
1352C22×C4—1461no—
1353C22×C4—1461no—
1354C22×C4—1461no—
1355C22×C4—1461no—
1356C22×C4—1461no—
1357C22×C4—1461no—
1358C22×C4—1461no—
1359C22×C4—1461no—
1360C22×C4—1461no—
1361C22×C4—1461no—
1362C22×C4—1461no—
1363C22×C4—1461no—
1364C22×C4—1461no—
1365C22×C4—1461no—
1366C22×C4—1461no—
1367C22×C4C2×D29211yescharacteristic
1368C22×C4C2×D29211yescharacteristic
1369C22×C4C23×D7311yescharacteristic
1370C22×C4C23×D7311yescharacteristic
1371C22×C4C23×D7311yescharacteristic
1372SD16—2921no—
1373SD16—2921no—
1374SD16—2921no—
1375SD16—2921no—
1376D8—2921no—
1377D8—2921no—
1378D8—1462no—
1379D8—1462no—
1380M16—41no—
1381M16—41no—
1382C2×C8—41no—
1383C2×C8—41no—
1384C2×C8—41no—
1385C2×C8—41no—
1386C2×C8C23×D7311yescharacteristic
1387C2×C8C23×D7311yescharacteristic
1388C2×C8C23×D7311yescharacteristic
1389C2×C8C23×D7311yescharacteristic
1390C2×C8C23×D7311yescharacteristic
1391C2×C8C23×D7311yescharacteristic
1392C2×C8C23×D7311yescharacteristic
1393C2×C8C23×D7311yescharacteristic
1394C4⋊C4—731no—
1395C4⋊C4—731no—
1396C4⋊C4—731no—
1397C4⋊C4—731no—
1398C4⋊C4—731no—
1399C4⋊C4—731no—
1400C4⋊C4—731no—
1401C4⋊C4—731no—
1402C4⋊C4—731no—
1403C4⋊C4—731no—
1404C4⋊C4—1461no—
1405C4⋊C4—1461no—
1406C4⋊C4—1461no—
1407C4⋊C4—1461no—
1408C4⋊C4—1461no—
1409C4⋊C4—1461no—
1410C4⋊C4—1461no—
1411C4⋊C4—1461no—
1412C4⋊C4—1461no—
1413C4⋊C4—1461no—
1414C4⋊C4—1461no—
1415C4⋊C4—1461no—
1416C4⋊C4—1461no—
1417C4⋊C4—1461no—
1418C4⋊C4—1461no—
1419C4⋊C4—1461no—
1420C4⋊C4—1461no—
1421C4⋊C4—1461no—
1422C4⋊C4—1461no—
1423C4⋊C4—1461no—
1424C4⋊C4—1461no—
1425C4⋊C4—1461no—
1426C4⋊C4—1461no—
1427C4⋊C4—1461no—
1428C4⋊C4—1461no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4C2×D29211yescharacteristic
1436C4⋊C4C2×D29211yescharacteristic
1437C4⋊C4C2×D29211yescharacteristic
1438C4⋊C4C2×D29211yescharacteristic
1439C4⋊C4C2×D29211yescharacteristic
1440C4⋊C4C2×D29211yescharacteristic
1441C4⋊C4C2×D29211yescharacteristic
1442C4⋊C4C2×D29211yescharacteristic
1443C4⋊C4C2×D29211yescharacteristic
1444C4⋊C4C2×D29211yescharacteristic
1445C22⋊C4—1461no—
1446C22⋊C4—1461no—
1447C22⋊C4—1461no—
1448C22⋊C4—1461no—
1449C22⋊C4—1461no—
1450C22⋊C4—1461no—
1451C22⋊C4—1461no—
1452C22⋊C4—1461no—
1453C22⋊C4—1461no—
1454C22⋊C4—1461no—
1455C22⋊C4—1461no—
1456C22⋊C4—1461no—
1457C22⋊C4—1461no—
1458C22⋊C4—1461no—
1459C22⋊C4—1461no—
1460C22⋊C4—1461no—
1461C22⋊C4—1461no—
1462C22⋊C4—1461no—
1463C22⋊C4—1461no—
1464C22⋊C4—1461no—
1465C22⋊C4—1461no—
1466C22⋊C4—1461no—
1467C22⋊C4—1461no—
1468C22⋊C4—1461no—
1469C22⋊C4—1461no—
1470C22⋊C4—1461no—
1471C22⋊C4—1461no—
1472C22⋊C4—1461no—
1473C22⋊C4—1461no—
1474C22⋊C4—1461no—
1475C22⋊C4—1461no—
1476C22⋊C4—1461no—
1477C22⋊C4—1461no—
1478C22⋊C4—1461no—
1479C22⋊C4C2×D29211yescharacteristic
1480C22⋊C4C2×D29211yescharacteristic
1481C22⋊C4C2×D29211yescharacteristic
1482C22⋊C4C2×D29211yescharacteristic
1483C22⋊C4C2×D29211yescharacteristic
1484C22⋊C4C2×D29211yescharacteristic
1485C22⋊C4C2×D29211yescharacteristic
1486C22⋊C4C2×D29211yescharacteristic
1487C22⋊C4C2×D29211yescharacteristic
1488C22⋊C4C2×D29211yescharacteristic
1489C42—1461no—
1490C42—1461no—
1491C42—1461no—
1492C42—1461no—
1493C42—1461no—
1494C42—1461no—
1495C42—1461no—
1496C42—1461no—
1497C42—1461no—
1498C42—1461no—
1499C42C2×D29211yescharacteristic
1500C42C2×D29211yescharacteristic
1501C42C23×D7311yescharacteristic
1502C42C23×D7311yescharacteristic
1503C42C23×D7311yescharacteristic
1504C42C23×D7311yescharacteristic
1505C23—2922no—
1506C23—5841no—
1507C23—5841no—
1508C23—1461no—
1509C23—1461no—
1510C23—1461no—
1511C23—1461no—
1512C23C22×D29211yescharacteristic
1513C23C22×D29211yescharacteristic
1514C23C22×D29211yescharacteristic
1515Q8—41no—
1516Q8—2922no—
1517Q8—5841no—
1518Q8—5841no—
1519Q8—5841no—
1520Q8—5841no—
1521Q8—5841no—
1522Q8—1461no—
1523Q8—1461no—
1524Q8—1461no—
1525Q8—1461no—
1526D4—41no—
1527D4—41no—
1528D4—41no—
1529D4—2922no—
1530D4—2922no—
1531D4—2922no—
1532D4—5841no—
1533D4—5841no—
1534D4—5841no—
1535D4—5841no—
1536D4—5841no—
1537D4—5841no—
1538D4—5841no—
1539D4—5841no—
1540D4—5841no—
1541D4—5841no—
1542D4—732no—
1543D4—1461no—
1544D4—1461no—
1545D4—1461no—
1546D4—1461no—
1547D4—1461no—
1548D4—1461no—
1549D4—1461no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—2922no—
1559C2×C4—2922no—
1560C2×C4—2922no—
1561C2×C4—2922no—
1562C2×C4—5841no—
1563C2×C4—5841no—
1564C2×C4—5841no—
1565C2×C4—5841no—
1566C2×C4—5841no—
1567C2×C4—5841no—
1568C2×C4—5841no—
1569C2×C4—5841no—
1570C2×C4—5841no—
1571C2×C4—5841no—
1572C2×C4—5841no—
1573C2×C4—5841no—
1574C2×C4—5841no—
1575C2×C4—1461no—
1576C2×C4—1461no—
1577C2×C4—1461no—
1578C2×C4—1461no—
1579C2×C4—1461no—
1580C2×C4—1461no—
1581C2×C4—1461no—
1582C2×C4—1461no—
1583C2×C4—1461no—
1584C2×C4—1461no—
1585C2×C4—1461no—
1586C2×C4—1461no—
1587C2×C4C22×D29211yescharacteristic
1588C2×C4C22×D29211yescharacteristic
1589C2×C4C22×D29211yescharacteristic
1590C2×C4C22×D29211yescharacteristic
1591C2×C4C22×D29211yescharacteristic
1592C2×C4C22×D29211yescharacteristic
1593C2×C4C22×D29211yescharacteristic
1594C2×C4C22×D29211yescharacteristic
1595C2×C4C22×D29211yescharacteristic
1596C2×C4C22×D29211yescharacteristic
1597C2×C4C22×D29211yescharacteristic
1598C2×C4C24×D7311yescharacteristic
1599C8—21no—
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—21no—
1606C8—21no—
1607C22—21no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—2921no—
1617C22—2921no—
1618C22—2921no—
1619C22—2921no—
1620C22—2921no—
1621C22—2921no—
1622C22—2921no—
1623C22—2921no—
1624C22—2921no—
1625C22—2921no—
1626C22—2921no—
1627C22—11682no—
1628C22—1462no—
1629C22C23×D29211yescharacteristic
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—21no—
1640C4—21no—
1641C4—2921no—
1642C4—2921no—
1643C4—2921no—
1644C4—2921no—
1645C4—2921no—
1646C4—2921no—
1647C4—2921no—
1648C4—2921no—
1649C4—2921no—
1650C4—2921no—
1651C4—2921no—
1652C4—2921no—
1653C42−1+4×D7311yescharacteristic
1654C4#1798942211yescharacteristic
1655C2—41no—
1656C2—41no—
1657C2—41no—
1658C2—2922no—
1659C2—5841no—
1660C2—5841no—
1661C2—5841no—
1662C2#2262361211yescharacteristic
1663C2#2262470511yescharacteristic
1664C2#2262471211yescharacteristic
subgroupG/H
centerC22C23×D292
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#2992C2
socleC22×C73C23×D4
hypercenter#2992D73
hypocenterC73#62171
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #529 ◁ #2992

Complements

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

NH ≅ G/Ntype
1. #22624322C2semidirect
2. #22624003C2semidirect
3. #22622891C2semidirect
4. #22622832C2semidirect
5. #22622760C2semidirect
6. #22622651C2semidirect
7. #22622478C2semidirect
8. #22622448C2semidirect
9. #22622433C2semidirect
10. #22622373C2semidirect
11. #22622345C2semidirect
12. #22622334C2semidirect
13. #22622089C2semidirect
14. #22622089C2semidirect
15. #22621909C2semidirect
16. #22621894C2semidirect
17. #22621860C2semidirect
18. #22621783C2semidirect
19. #22621378C2semidirect
20. #22621344C2semidirect
21. #22621258C2semidirect
22. #22621231C2semidirect
23. #22621201C2semidirect
24. #22621173C2semidirect
25. #22620175C2semidirect
26. #22620132C2semidirect
27. #22620083C2semidirect
28. #22619784C2semidirect
29. #22619763C2semidirect
30. #22619721C2semidirect
31. C73×#2992C2semidirect
38. #17989302C22semidirect
40. #17989297C22semidirect
43. #17989283C22semidirect
50. Q8×D292C22semidirect
57. #17989215C22semidirect
63. #17989192C22semidirect
68. #17989144C22semidirect
69. #17989137C22semidirect
76. #17988996C22semidirect
77. #17988996C22semidirect
78. #17988996C22semidirect
79. #17988996C22semidirect
80. #17988989C22semidirect
81. #17988985C22semidirect
82. #17988956C22semidirect
87. #17988938C22semidirect
90. #17988929C22semidirect
91. #17988929C22semidirect
92. #17988929C22semidirect
95. #17988918C22semidirect
101. #17988912C22semidirect
102. #17988912C22semidirect
104. #17988906C22semidirect
105. #17988901C22semidirect
106. #17988895C22semidirect
107. #17988895C22semidirect
108. #17988895C22semidirect
109. #17988895C22semidirect
110. #17988895C22semidirect
118. #17988888C22semidirect
119. #17988888C22semidirect
120. #17988888C22semidirect
121. #17988888C22semidirect
122. #17988883C22semidirect
123. #17988883C22semidirect
124. #17988883C22semidirect
128. #17988878C22semidirect
129. #17988873C22semidirect
130. #17988873C22semidirect
135. #17988868C22semidirect
139. #17988833C22semidirect
145. #17988816C22semidirect
146. #17988816C22semidirect
147. #17988816C22semidirect
152. #17988793C22semidirect
153. #17988793C22semidirect
154. #17988788C22semidirect
155. #17988788C22semidirect
169. #17988689C22semidirect
170. #17988689C22semidirect
171. #17988689C22semidirect
172. C4×#11924017C22semidirect
177. #17988629C22semidirect
179. #17988625C22semidirect
180. #17988625C22semidirect
181. C2×#14556525C22semidirect
189. #446×C73C22semidirect
190. #446×C73C22semidirect
194. #435×C73C22semidirect
196. C8×D4×C73C22semidirect
198. #433×C73C22semidirect
199. #432×C73C22semidirect
201. #424×C73C22semidirect
202. C2×C4⋊C8×C73C22semidirect
863. #2992D73semidirect
864. C73#62171semidirect
998. #446C2×D73semidirect
999. #446C2×D73semidirect
1015. #435C2×D73semidirect
1017. C8×D4C2×D73semidirect
1019. #433C2×D73semidirect
1020. #432C2×D73semidirect
1028. #424C2×D73semidirect
1029. C2×C4⋊C8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243222
#226240032
#226228912
#226228322
#226227602
#226226512
#226224782
#226224482
#226224332
#226223732
#226223452
#226223342
#226220892
#226219092
#226218942
#226218602
#226217832
#226213782
#226213442
#226212582
#226212312
#226212012
#226211732
#226201752
#226201322
#226200832
#226197842
#226197632
#226197212
C73×#29922
#6217173