Finite Group Databasebeta

← #33982803

Subgroups — #33982803

Order 18688.

1712 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624576C211yesmaximal, characteristic, complemented
2#22623894C211yesmaximal, characteristic, complemented
3#22622854C211yesmaximal, characteristic, complemented
4#22622832C211yesmaximal, characteristic, complemented
5#22622701C211yesmaximal, characteristic, complemented
6#22622686C211yesmaximal, characteristic, complemented
7#22622478C211yesmaximal, characteristic, complemented
8#22622463C211yesmaximal, characteristic, complemented
9#22622448C211yesmaximal, characteristic, complemented
10#22622433C211yesmaximal, characteristic, complemented
11#22622354C211yesmaximal, characteristic, complemented
12#22622345C211yesmaximal, characteristic, complemented
13#22622089C211yesmaximal, characteristic, complemented
14#22622074C211yesmaximal, characteristic, complemented
15#22621969C211yesmaximal, characteristic, complemented
16#22621954C211yesmaximal, characteristic, complemented
17#22621783C211yesmaximal, characteristic, complemented
18#22621768C211yesmaximal, characteristic, complemented
19#22621402C211yesmaximal, characteristic, complemented
20#22621392C211yesmaximal, characteristic, complemented
21#22621258C211yesmaximal, characteristic, complemented
22#22621231C211yesmaximal, characteristic, complemented
23#22621216C211yesmaximal, characteristic, complemented
24#22621131C211yesmaximal, characteristic, complemented
25#22620117C211yesmaximal, characteristic, complemented
26#22620117C211yesmaximal, characteristic, complemented
27#22620042C211yesmaximal, characteristic, complemented
28#22619763C211yesmaximal, characteristic, complemented
29#22619763C211yesmaximal, characteristic, complemented
30#22619721C211yesmaximal, characteristic, complemented
31C73×#2992C211yesmaximal, characteristic, complemented
32#17989338—21no—
33#17989332—21no—
34#17989322C2211yescharacteristic
35#17989315C2211yescharacteristic, complemented
36#17989307C2211yescharacteristic
37#17989307C2211yescharacteristic, complemented
38#17989304—21no—
39#17989302C2211yescharacteristic
40#17989302C2211yescharacteristic
41#17989302C2211yescharacteristic, complemented
42#17989297C2211yescharacteristic, complemented
43#17989283C2211yescharacteristic
44#17989283C2211yescharacteristic, complemented
45#17989277C2211yescharacteristic
46#17989277C2211yescharacteristic, complemented
47#17989273—21no—
48#17989262—21no—
49#17989262—21no—
50Q8×D292C2211yescharacteristic
51#17989247—21no—
52#17989234—21no—
53#17989233C2211yescharacteristic
54#17989233C2211yescharacteristic
55D4×D292C2211yescharacteristic
56#17989215C2211yescharacteristic, complemented
57#17989215C2211yescharacteristic, complemented
58#17989208C2211yescharacteristic
59#17989208C2211yescharacteristic
60#17989208C2211yescharacteristic, complemented
61#17989208C2211yescharacteristic, complemented
62#17989205—21no—
63#17989201—21no—
64#17989196—21no—
65#17989180—21no—
66#17989173—21no—
67#17989173—21no—
68#17989144C2211yescharacteristic, complemented
69#17989137C2211yescharacteristic
70#17989122—21no—
71#17989121C2211yescharacteristic, complemented
72#124×D73—21no—
73#17989061C2211yescharacteristic
74#17989061C2211yescharacteristic
75C4×#11924028C2211yescharacteristic
76#17988996C2211yescharacteristic, complemented
77#17988996C2211yescharacteristic, complemented
78#17988996C2211yescharacteristic, complemented
79#17988996C2211yescharacteristic, complemented
80#17988992C2211yescharacteristic, complemented
81#17988985C2211yescharacteristic, complemented
82#17988952C2211yescharacteristic
83#17988952C2211yescharacteristic
84#17988947C2211yescharacteristic, complemented
85#17988947C2211yescharacteristic, complemented
86#17988942C2211yescharacteristic, complemented
87#17988942C2211yescharacteristic, complemented
88#17988929C2211yescharacteristic, complemented
89#17988929C2211yescharacteristic, complemented
90#17988929C2211yescharacteristic, complemented
91#17988929C2211yescharacteristic, complemented
92#17988929C2211yescharacteristic, complemented
93#17988923C2211yescharacteristic, complemented
94#17988918C2211yescharacteristic, complemented
95#17988912C2211yescharacteristic
96#17988912C2211yescharacteristic
97#17988912C2211yescharacteristic, complemented
98#17988912C2211yescharacteristic, complemented
99#17988912C2211yescharacteristic, complemented
100#17988912C2211yescharacteristic, complemented
101#17988912C2211yescharacteristic, complemented
102#17988912C2211yescharacteristic, complemented
103#17988912C2211yescharacteristic, complemented
104#17988906C2211yescharacteristic
105#17988901C2211yescharacteristic
106#17988895C2211yescharacteristic, complemented
107#17988895C2211yescharacteristic, complemented
108#17988895C2211yescharacteristic, complemented
109#17988888C2211yescharacteristic
110#17988888C2211yescharacteristic
111#17988888C2211yescharacteristic
112#17988888C2211yescharacteristic
113#17988888C2211yescharacteristic
114#17988888C2211yescharacteristic, complemented
115#17988888C2211yescharacteristic, complemented
116#17988888C2211yescharacteristic, complemented
117#17988888C2211yescharacteristic, complemented
118#17988883C2211yescharacteristic, complemented
119#17988883C2211yescharacteristic, complemented
120#17988883C2211yescharacteristic, complemented
121#17988878C2211yescharacteristic
122#17988878C2211yescharacteristic
123#17988878C2211yescharacteristic, complemented
124#17988878C2211yescharacteristic, complemented
125#17988878C2211yescharacteristic, complemented
126#17988878C2211yescharacteristic, complemented
127#17988878C2211yescharacteristic, complemented
128#17988873C2211yescharacteristic, complemented
129#17988873C2211yescharacteristic, complemented
130#17988868C2211yescharacteristic
131#17988868C2211yescharacteristic
132#17988868C2211yescharacteristic, complemented
133#17988868C2211yescharacteristic, complemented
134#17988868C2211yescharacteristic, complemented
135#17988868C2211yescharacteristic, complemented
136#17988845C2211yescharacteristic, complemented
137#17988840C2211yescharacteristic
138#17988833C2211yescharacteristic
139#17988833C2211yescharacteristic, complemented
140#17988828C2211yescharacteristic, complemented
141#17988823C2211yescharacteristic
142#17988823C2211yescharacteristic, complemented
143#17988823C2211yescharacteristic, complemented
144#17988816C2211yescharacteristic
145#17988816C2211yescharacteristic, complemented
146#17988816C2211yescharacteristic, complemented
147#17988816C2211yescharacteristic, complemented
148#17988810C2211yescharacteristic, complemented
149#17988810C2211yescharacteristic, complemented
150#17988810C2211yescharacteristic, complemented
151#17988803C2211yescharacteristic
152#17988803C2211yescharacteristic, complemented
153#17988803C2211yescharacteristic, complemented
154#17988803C2211yescharacteristic, complemented
155#17988803C2211yescharacteristic, complemented
156#17988788C2211yescharacteristic
157#17988783C2211yescharacteristic
158#17988751C2211yescharacteristic
159#17988740C2211yescharacteristic
160#17988740C2211yescharacteristic
161#17988734C2211yescharacteristic
162#17988723C2211yescharacteristic
163#17988723C2211yescharacteristic
164#17988700C2211yescharacteristic
165#17988700C2211yescharacteristic
166#17988700C2211yescharacteristic, complemented
167#17988695C2211yescharacteristic, complemented
168#17988689C2211yescharacteristic
169#17988689C2211yescharacteristic
170#17988689C2211yescharacteristic, complemented
171#17988689C2211yescharacteristic, complemented
172C4×#11924017C2211yescharacteristic
173C4×#11924017C2211yescharacteristic, complemented
174C4×D584C2211yescharacteristic
175C4×D584C2211yescharacteristic, complemented
176#17988629C2211yescharacteristic, complemented
177#17988629C2211yescharacteristic, complemented
178#17988625C2211yescharacteristic, complemented
179#17988625C2211yescharacteristic, complemented
180#17988625C2211yescharacteristic, complemented
181#17988625C2211yescharacteristic, complemented
182#17988593C2211yescharacteristic
183#17988593C2211yescharacteristic
184#17988584C2211yescharacteristic
185#17988584C2211yescharacteristic
186C2×#14556513C2211yescharacteristic
187C2×#14556513C2211yescharacteristic
188#529×C73C2211yescharacteristic
189#446×C73C2211yescharacteristic, complemented
190#446×C73C2211yescharacteristic, complemented
191#435×C73C2211yescharacteristic
192#435×C73C2211yescharacteristic
193#435×C73C2211yescharacteristic, complemented
194#435×C73C2211yescharacteristic, complemented
195C8×D4×C73C2211yescharacteristic, complemented
196C8×D4×C73C2211yescharacteristic, complemented
197#433×C73C2211yescharacteristic, complemented
198#433×C73C2211yescharacteristic, complemented
199#432×C73C2211yescharacteristic, complemented
200#424×C73C2211yescharacteristic, complemented
201#424×C73C2211yescharacteristic, complemented
202C2×C4⋊C8×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028C2311yescharacteristic
205C2×Q8×D73—21no—
206C22×D292C2311yescharacteristic
207C22×D292C2311yescharacteristic
208C2×D4×D73—21no—
209C2×Dic292C2311yescharacteristic
210C2×#11924017C2311yescharacteristic
211C2×#11924017C2311yescharacteristic
212C2×#11924017C2311yescharacteristic
213C2×#11924017C2311yescharacteristic
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#14556589—21no—
227#14556588C2311yescharacteristic
228#14556586—21no—
229#14556586—21no—
230#14556586—21no—
231#14556586—21no—
232#14556586—21no—
233#14556586—21no—
234#14556585—21no—
235#14556584—21no—
236#14556584—21no—
237#14556584—21no—
238#14556584—21no—
239#14556584—21no—
240#14556584—21no—
241#14556583C2311yescharacteristic
242#14556583C2311yescharacteristic
243#14556583C2311yescharacteristic
244#14556583C2311yescharacteristic
245#14556583C2311yescharacteristic
246#14556582—21no—
247#14556582—21no—
248#14556581—21no—
249#14556581—21no—
250#14556581—21no—
251#14556581—21no—
252#14556580—21no—
253#14556579—21no—
254#14556579C2311yescharacteristic
255#14556579C2311yescharacteristic
256#14556579C2311yescharacteristic
257#14556578—21no—
258#14556578—21no—
259#14556577—21no—
260#14556577—21no—
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556576—21no—
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556574—21no—
274#14556573—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573—21no—
280#14556572—21no—
281#14556572—21no—
282#14556571—21no—
283#14556571—21no—
284#14556571—21no—
285#14556570—21no—
286#14556570—21no—
287#14556570C2311yescharacteristic
288#14556570C2311yescharacteristic
289#14556570C2311yescharacteristic
290#14556570C2311yescharacteristic
291#14556570C2311yescharacteristic
292#14556569—21no—
293#14556569—21no—
294#14556569—21no—
295#14556569—21no—
296#14556569—21no—
297#14556569—21no—
298#14556568—21no—
299#14556568—21no—
300#14556568—21no—
301#14556568—21no—
302#14556567—21no—
303#14556566—21no—
304#14556565—21no—
305#14556565C2311yescharacteristic
306#14556565C2311yescharacteristic
307#14556565C2311yescharacteristic
308#14556565C2311yescharacteristic
309#14556565C2311yescharacteristic
310#14556565C2311yescharacteristic
311#14556565C2311yescharacteristic
312#14556564—21no—
313#14556564—21no—
314#14556563—21no—
315#14556563—21no—
316#14556562—21no—
317#14556562—21no—
318#14556562—21no—
319#14556561—21no—
320#14556561—21no—
321#14556559—21no—
322#14556559—21no—
323C4×Dic146—21no—
324C4×Dic146—21no—
325C4×Dic146C2311yescharacteristic
326C4×Dic146C2311yescharacteristic
327C4×Dic146C2311yescharacteristic
328C4×Dic146C2311yescharacteristic
329C4×Dic146C2311yescharacteristic
330#14556556—21no—
331#14556556—21no—
332#14556556—21no—
333C4×D292—21no—
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336C4×D292C2311yescharacteristic
337C4×D292C2311yescharacteristic
338C4×D292C2311yescharacteristic
339C4×D292C2311yescharacteristic
340C4×D292C2311yescharacteristic
341C4×D292C2311yescharacteristic
342C4×D292C2311yescharacteristic
343C4×D292C2311yescharacteristic
344C4×D292C2311yescharacteristic
345#14556553—21no—
346#14556553—21no—
347#14556553—21no—
348#14556553—21no—
349#14556553—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353#14556551—21no—
354#14556551—21no—
355#14556550C2311yescharacteristic
356#14556550C2311yescharacteristic
357#14556550C2311yescharacteristic
358#14556550C2311yescharacteristic
359#14556550C2311yescharacteristic
360#14556550C2311yescharacteristic
361#14556550C2311yescharacteristic
362#14556549—21no—
363#14556549—21no—
364#14556549—21no—
365#14556548—21no—
366#14556548—21no—
367#14556547—21no—
368#14556547—21no—
369C2×C4⋊Dic73C2311yescharacteristic
370C2×C4⋊Dic73C2311yescharacteristic
371C4⋊C4×D73—21no—
372C22⋊C4×D73—21no—
373C22⋊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#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
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—
479C23×D73—21no—
480#11924028—22no—
481#11924028—41no—
482#11924028—82no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146C2411yescharacteristic
491C2×Dic146C2411yescharacteristic
492Q8×D73—82no—
493C2×D292—22no—
494C2×D292—22no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—41no—
500C2×D292—41no—
501C2×D292C2411yescharacteristic
502C2×D292C2411yescharacteristic
503C2×D292C2411yescharacteristic
504C2×D292C2411yescharacteristic
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—
513D4×D73—82no—
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—
528Dic292—41no—
529#11924017—22no—
530#11924017—41no—
531#11924017—41no—
532#11924017—41no—
533D584—22no—
534D584—41no—
535D584—41no—
536C4⋊Dic73—21no—
537C4⋊Dic73—21no—
538C4⋊Dic73—21no—
539C4⋊Dic73—21no—
540C4⋊Dic73—21no—
541C4⋊Dic73—21no—
542C4⋊Dic73—21no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73C2411yescharacteristic
546C4⋊Dic73C2411yescharacteristic
547C4⋊Dic73C2411yescharacteristic
548C4⋊Dic73C2411yescharacteristic
549C4⋊Dic73C2411yescharacteristic
550C4⋊Dic73C2411yescharacteristic
551C4⋊Dic73C2411yescharacteristic
552C4⋊Dic73C2411yescharacteristic
553C4⋊Dic73C2411yescharacteristic
554C4⋊Dic73C2411yescharacteristic
555#11924007—21no—
556#11924007—21no—
557#11924007—21no—
558#11924007—21no—
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—
575C22⋊Dic73—21no—
576C22⋊Dic73—21no—
577C22⋊Dic73—21no—
578C22⋊Dic73—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—
587#11924005—21no—
588#11924005—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—
611C4×Dic73—21no—
612C4×Dic73—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—42no—
681C22×D73—81no—
682C22×D73—81no—
683C22×D73—81no—
684C22×D73—81no—
685Q8×C73—41no—
686D4×C73—41no—
687D4×C73—41no—
688D4×C73—41no—
689C2×C4×C73—21no—
690C2×C4×C73—21no—
691C2×C4×C73—21no—
692C2×C4×C73—21no—
693C2×C4×C73—21no—
694C2×C4×C73—21no—
695C2×C4×C73—41no—
696C2×C4×C73—41no—
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×C73C22×D411yescharacteristic
706C2×C4×C73C22×D411yescharacteristic
707C2×C4×C73C22×D411yescharacteristic
708C2×C4×C73C2511yescharacteristic
709C22⋊D73—42no—
710C22⋊D73—81no—
711C22⋊D73—81no—
712C22⋊D73—81no—
713C22⋊D73—81no—
714C22⋊D73—81no—
715C22⋊D73—81no—
716C22⋊D73—81no—
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—21no—
729C2×Dic73—81no—
730C2×Dic73—81no—
731D292—21no—
732D292—21no—
733D292—21no—
734D292—21no—
735D292—21no—
736D292—21no—
737D292—21no—
738D292—42no—
739D292—42no—
740D292—42no—
741D292—81no—
742D2922−1+412yes—
743C4×D73—42no—
744C4×D73—42no—
745C4×D73—81no—
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—
755Dic146—21no—
756Dic146—21no—
757Dic146—21no—
758Dic146—21no—
759Dic146—42no—
760Dic146—81no—
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—
797C2×D73—162no—
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×C73—21no—
809C4×C73C2×2−1+411yescharacteristic
810C4×C73#58511yescharacteristic
811Dic73—41no—
812Dic73—41no—
813Dic73—41no—
814Dic73—41no—
815Dic73—41no—
816Dic73—41no—
817Dic73—41no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822Dic73—41no—
823#62159—731nomaximal, Sylow
824C2×C73—41no—
825C2×C73—41no—
826C2×C73—41no—
827C2×C73#348911yescharacteristic
828C2×C73#358411yescharacteristic
829C2×C73#358511yescharacteristic
830D73—42no—
831D73—81no—
832D73—81no—
833D73—81no—
834#3565—731no—
835#3514—731no—
836#3386—731no—
837#3384—731no—
838#3371—731no—
839#3370—731no—
840#3350—731no—
841#3349—731no—
842#3348—731no—
843#3347—731no—
844#3341—731no—
845#3340—731no—
846#3319—731no—
847#3318—731no—
848#3311—731no—
849#3310—731no—
850#3297—731no—
851#3296—731no—
852#3263—731no—
853#3262—731no—
854#3247—731no—
855#3244—731no—
856#3243—731no—
857#3235—731no—
858#3118—731no—
859#3118—731no—
860#3111—731no—
861#3081—731no—
862#3081—731no—
863#3076—731no—
864#2992D7311yescharacteristic, complemented
865C73#6215911yescharacteristic, complemented, Sylow
866#563—1461no—
867#562—1461no—
868#559—731no—
869#557—731no—
870#556—731no—
871#556—731no—
872#556—1461no—
873#555—731no—
874#555—731no—
875#555—731no—
876#554—731no—
877#553—731no—
878#553—731no—
879#552—731no—
880#552—731no—
881#552—1461no—
882#551—1461no—
883#551—1461no—
884D4×Q8—731no—
885#548—1461no—
886#546—731no—
887#546—731no—
888#546—1461no—
889D42—731no—
890#544—731no—
891#544—731no—
892#542—731no—
893#542—731no—
894#542—731no—
895#542—731no—
896#542—1461no—
897#542—1461no—
898#541—1461no—
899#539—1461no—
900#538—1461no—
901#538—1461no—
902#533—731no—
903#532—731no—
904#529—731no—
905#529—1461no—
906#529C2×D7311yescharacteristic
907C2×#124—1461no—
908#518—731no—
909#518—731no—
910C4×#41—731no—
911#501—731no—
912#501—731no—
913#501—731no—
914#501—731no—
915#500—731no—
916#498—731no—
917#490—731no—
918#490—731no—
919#489—731no—
920#489—731no—
921#488—731no—
922#488—731no—
923#485—731no—
924#485—731no—
925#485—731no—
926#485—731no—
927#485—731no—
928#484—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#482—731no—
938#482—731no—
939#481—731no—
940#480—731no—
941#479—731no—
942#479—731no—
943#479—731no—
944#478—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#477—731no—
954#477—731no—
955#477—731no—
956#476—731no—
957#476—731no—
958#476—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#474—731no—
971#470—731no—
972#469—731no—
973#468—731no—
974#468—731no—
975#467—731no—
976#466—731no—
977#466—731no—
978#466—731no—
979#465—731no—
980#465—731no—
981#465—731no—
982#465—731no—
983#464—731no—
984#464—731no—
985#464—731no—
986#463—731no—
987#463—731no—
988#463—731no—
989#463—731no—
990#463—731no—
991#460—731no—
992#459—731no—
993#452—731no—
994#450—731no—
995#450—731no—
996#449—731no—
997#447—731no—
998#447—731no—
999#446C2×D7311yescharacteristic, complemented
1000#446C2×D7311yescharacteristic, complemented
1001#442—731no—
1002#442—731no—
1003#442—731no—
1004#441—731no—
1005#440—731no—
1006#440—731no—
1007#440—731no—
1008#440—731no—
1009C4×SD16—731no—
1010C4×SD16—731no—
1011C4×D8—731no—
1012C4×D8—731no—
1013#435C2×D7311yescharacteristic
1014#435C2×D7311yescharacteristic
1015#435C2×D7311yescharacteristic, complemented
1016#435C2×D7311yescharacteristic, complemented
1017C8×D4C2×D7311yescharacteristic, complemented
1018C8×D4C2×D7311yescharacteristic, complemented
1019#433C2×D7311yescharacteristic, complemented
1020#433C2×D7311yescharacteristic, complemented
1021#432C2×D7311yescharacteristic, complemented
1022#428—731no—
1023#428—731no—
1024#427—731no—
1025#427—731no—
1026#427—731no—
1027#427—731no—
1028#424C2×D7311yescharacteristic, complemented
1029#424C2×D7311yescharacteristic, complemented
1030C2×C4⋊C8C2×D7311yescharacteristic, complemented
1031#418—731no—
1032#418—731no—
1033#416—731no—
1034#416—731no—
1035C2×#102—731no—
1036C2×#102—731no—
1037C2×#41—731no—
1038C2×#41—1461no—
1039C22×Q8—1461no—
1040C22×D4—731no—
1041C22×D4—731no—
1042C22×D4—1461no—
1043C2×Q16—731no—
1044C2×SD16—731no—
1045C2×SD16—731no—
1046C2×SD16—731no—
1047C2×SD16—731no—
1048C2×D8—731no—
1049C2×D8—731no—
1050C2×D8—731no—
1051C2×M16C22×D7311yescharacteristic
1052C2×M16C22×D7311yescharacteristic
1053C22×C8C22×D7311yescharacteristic
1054C22×C8C22×D7311yescharacteristic
1055C22×C8C22×D7311yescharacteristic
1056C22×C8C22×D7311yescharacteristic
1057C4⋊Q8—731no—
1058C4⋊Q8—731no—
1059C4⋊Q8—731no—
1060C4⋊Q8—731no—
1061C4⋊Q8—731no—
1062C4⋊Q8—731no—
1063C4⋊Q8—731no—
1064C4⋊Q8—1461no—
1065C4⋊Q8—1461no—
1066C4⋊Q8—1461no—
1067#127—731no—
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#126—1461no—
1079#126—1461no—
1080#126—1461no—
1081#126D29211yescharacteristic
1082#126D29211yescharacteristic
1083#125—731no—
1084#125—731no—
1085#125—731no—
1086#125—731no—
1087#125—731no—
1088#125—1461no—
1089#125—1461no—
1090#125—1461no—
1091#125—1461no—
1092#125—1461no—
1093#125—1461no—
1094#125D29211yescharacteristic
1095#124—731no—
1096#124—731no—
1097#124—731no—
1098#124—1461no—
1099#124—1461no—
1100#124—1461no—
1101#124—1461no—
1102#124—1461no—
1103#124—1461no—
1104#124—1461no—
1105#124—1461no—
1106#124—1461no—
1107#124—1461no—
1108#124—1461no—
1109#124—1461no—
1110#124—1461no—
1111#124—1461no—
1112#124D29211yescharacteristic
1113#123—1461no—
1114#123—1461no—
1115#123—1461no—
1116#123—1461no—
1117#123—1461no—
1118#123—1461no—
1119#123—1461no—
1120#123—1461no—
1121#123—1461no—
1122#123—1461no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123D29211yescharacteristic
1127#123D29211yescharacteristic
1128C22⋊Q8—731no—
1129C22⋊Q8—731no—
1130C22⋊Q8—731no—
1131C22⋊Q8—731no—
1132C22⋊Q8—731no—
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⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8D29211yescharacteristic
1150#121—731no—
1151#121—731no—
1152#121—731no—
1153#121—731no—
1154#121—731no—
1155#121—731no—
1156#121—731no—
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#121D29211yescharacteristic
1167#120—1461no—
1168#120—1461no—
1169#120—1461no—
1170#120—1461no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—1461no—
1177C4×Q8—1461no—
1178C4×Q8—1461no—
1179C4×Q8—1461no—
1180C4×Q8—1461no—
1181C4×Q8C22×D7311yescharacteristic
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—731no—
1191C4×D4—731no—
1192C4×D4—731no—
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×D4—1461no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4C22×D7311yescharacteristic
1205C4×D4C22×D7311yescharacteristic
1206C4×D4C22×D7311yescharacteristic
1207#117—731no—
1208#117—731no—
1209#117—731no—
1210#117—731no—
1211#117—731no—
1212#117—731no—
1213#117—731no—
1214#117—1461no—
1215#117—1461no—
1216#117—1461no—
1217#117—1461no—
1218#117—1461no—
1219#117—1461no—
1220#117—1461no—
1221#117C22×D7311yescharacteristic
1222#117C22×D7311yescharacteristic
1223C2×C4⋊C4—731no—
1224C2×C4⋊C4—731no—
1225C2×C4⋊C4—1461no—
1226C2×C22⋊C4—1461no—
1227C2×C22⋊C4—1461no—
1228C2×C22⋊C4—1461no—
1229C2×C22⋊C4—1461no—
1230C2×C22⋊C4—1461no—
1231C2×C22⋊C4—1461no—
1232C2×C42—1461no—
1233C2×C42C22×D7311yescharacteristic
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#107—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—
1257#106—731no—
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
1267C4⋊C8C22×D7311yescharacteristic
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#102—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—
1299#102—731no—
1300C22⋊C8C22×D7311yescharacteristic
1301C22⋊C8C22×D7311yescharacteristic
1302C22⋊C8C22×D7311yescharacteristic
1303C22⋊C8C22×D7311yescharacteristic
1304C22⋊C8C22×D7311yescharacteristic
1305C22⋊C8C22×D7311yescharacteristic
1306#97C22×D7311yescharacteristic
1307#97C22×D7311yescharacteristic
1308#97C22×D7311yescharacteristic
1309#97C22×D7311yescharacteristic
1310C4×C8C22×D7311yescharacteristic
1311C4×C8C22×D7311yescharacteristic
1312C24—1461no—
1313C24—1461no—
1314#41—2921no—
1315#41—5842no—
1316#41—1462no—
1317C2×Q8—5842no—
1318C2×Q8—731no—
1319C2×Q8—731no—
1320C2×Q8—1461no—
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—2921no—
1330C2×D4—5842no—
1331C2×D4—731no—
1332C2×D4—731no—
1333C2×D4—731no—
1334C2×D4—731no—
1335C2×D4—1462no—
1336C2×D4—1462no—
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×D4—1461no—
1348C2×D4—1461no—
1349C2×D4C2×D29211yescharacteristic
1350C2×D4C2×D29211yescharacteristic
1351C2×D4C2×D29211yescharacteristic
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×C4C2×D29211yescharacteristic
1367C22×C4C2×D29211yescharacteristic
1368C22×C4C23×D7311yescharacteristic
1369C22×C4C23×D7311yescharacteristic
1370C22×C4C23×D7311yescharacteristic
1371Q16—2921no—
1372SD16—2921no—
1373SD16—2921no—
1374SD16—2921no—
1375SD16—1462no—
1376D8—2921no—
1377D8—2921no—
1378D8—1462no—
1379M16—41no—
1380M16—41no—
1381C2×C8—41no—
1382C2×C8—41no—
1383C2×C8—41no—
1384C2×C8—41no—
1385C2×C8C23×D7311yescharacteristic
1386C2×C8C23×D7311yescharacteristic
1387C2×C8C23×D7311yescharacteristic
1388C2×C8C23×D7311yescharacteristic
1389C2×C8C23×D7311yescharacteristic
1390C2×C8C23×D7311yescharacteristic
1391C2×C8C23×D7311yescharacteristic
1392C2×C8C23×D7311yescharacteristic
1393C4⋊C4—731no—
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—1461no—
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⋊C4C2×D29211yescharacteristic
1433C4⋊C4C2×D29211yescharacteristic
1434C4⋊C4C2×D29211yescharacteristic
1435C4⋊C4C2×D29211yescharacteristic
1436C4⋊C4C2×D29211yescharacteristic
1437C4⋊C4C2×D29211yescharacteristic
1438C4⋊C4C2×D29211yescharacteristic
1439C4⋊C4C2×D29211yescharacteristic
1440C4⋊C4C2×D29211yescharacteristic
1441C4⋊C4C2×D29211yescharacteristic
1442C22⋊C4—1461no—
1443C22⋊C4—1461no—
1444C22⋊C4—1461no—
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⋊C4C2×D29211yescharacteristic
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
1488C42—1461no—
1489C42—1461no—
1490C42—1461no—
1491C42—1461no—
1492C42—1461no—
1493C42—1461no—
1494C42—1461no—
1495C42—1461no—
1496C42—1461no—
1497C42—1461no—
1498C42—1461no—
1499C42—1461no—
1500C42C2×D29211yescharacteristic
1501C42C2×D29211yescharacteristic
1502C42C23×D7311yescharacteristic
1503C42C23×D7311yescharacteristic
1504C42C23×D7311yescharacteristic
1505C42C23×D7311yescharacteristic
1506C23—2922no—
1507C23—2922no—
1508C23—5841no—
1509C23—5841no—
1510C23—5841no—
1511C23—5841no—
1512C23—1461no—
1513C23—1461no—
1514C23—1461no—
1515C23—1461no—
1516C23C22×D29211yescharacteristic
1517C23C22×D29211yescharacteristic
1518C23C22×D29211yescharacteristic
1519Q8—41no—
1520Q8—2922no—
1521Q8—5841no—
1522Q8—5841no—
1523Q8—5841no—
1524Q8—5841no—
1525Q8—5841no—
1526Q8—5841no—
1527Q8—1461no—
1528Q8—1461no—
1529Q8—1461no—
1530Q8—1461no—
1531D4—41no—
1532D4—41no—
1533D4—41no—
1534D4—2922no—
1535D4—2922no—
1536D4—2922no—
1537D4—2922no—
1538D4—5841no—
1539D4—5841no—
1540D4—5841no—
1541D4—5841no—
1542D4—5841no—
1543D4—5841no—
1544D4—5841no—
1545D4—5841no—
1546D4—732no—
1547D4—1461no—
1548D4—1461no—
1549D4—1461no—
1550D4—1461no—
1551D4—1461no—
1552D4—1461no—
1553D4—1461no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—2922no—
1563C2×C4—2922no—
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—5841no—
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×C4—1461no—
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×C4C22×D29211yescharacteristic
1599C2×C4C24×D7311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—21no—
1606C8—21no—
1607C8—21no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—21no—
1617C22—2921no—
1618C22—2921no—
1619C22—2921no—
1620C22—2921no—
1621C22—2921no—
1622C22—2921no—
1623C22—2921no—
1624C22—2921no—
1625C22—2921no—
1626C22—2921no—
1627C22—2921no—
1628C22—11682no—
1629C22—11682no—
1630C22—1462no—
1631C22C23×D29211yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—21no—
1640C4—21no—
1641C4—21no—
1642C4—21no—
1643C4—2921no—
1644C4—2921no—
1645C4—2921no—
1646C4—2921no—
1647C4—2921no—
1648C4—2921no—
1649C4—2921no—
1650C4—2921no—
1651C4—2921no—
1652C4—2921no—
1653C4—2921no—
1654C4—2921no—
1655C42−1+4×D7311yescharacteristic
1656C4#1798942211yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—41no—
1660C2—2922no—
1661C2—5841no—
1662C2—5841no—
1663C2—5841no—
1664C2#2262361211yescharacteristic
1665C2#2262470511yescharacteristic
1666C2#2262471211yescharacteristic
subgroupG/H
centerC22C23×D292
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#2992C2
socleC22×C73C23×D4
hypercenter#2992D73
hypocenterC73#62159
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. #22624576C2semidirect
2. #22623894C2semidirect
3. #22622854C2semidirect
4. #22622832C2semidirect
5. #22622701C2semidirect
6. #22622686C2semidirect
7. #22622478C2semidirect
8. #22622463C2semidirect
9. #22622448C2semidirect
10. #22622433C2semidirect
11. #22622354C2semidirect
12. #22622345C2semidirect
13. #22622089C2semidirect
14. #22622074C2semidirect
15. #22621969C2semidirect
16. #22621954C2semidirect
17. #22621783C2semidirect
18. #22621768C2semidirect
19. #22621402C2semidirect
20. #22621392C2semidirect
21. #22621258C2semidirect
22. #22621231C2semidirect
23. #22621216C2semidirect
24. #22621131C2semidirect
25. #22620117C2semidirect
26. #22620117C2semidirect
27. #22620042C2semidirect
28. #22619763C2semidirect
29. #22619763C2semidirect
30. #22619721C2semidirect
31. C73×#2992C2semidirect
35. #17989315C22semidirect
37. #17989307C22semidirect
41. #17989302C22semidirect
42. #17989297C22semidirect
44. #17989283C22semidirect
46. #17989277C22semidirect
56. #17989215C22semidirect
57. #17989215C22semidirect
60. #17989208C22semidirect
61. #17989208C22semidirect
68. #17989144C22semidirect
71. #17989121C22semidirect
76. #17988996C22semidirect
77. #17988996C22semidirect
78. #17988996C22semidirect
79. #17988996C22semidirect
80. #17988992C22semidirect
81. #17988985C22semidirect
84. #17988947C22semidirect
85. #17988947C22semidirect
86. #17988942C22semidirect
87. #17988942C22semidirect
88. #17988929C22semidirect
89. #17988929C22semidirect
90. #17988929C22semidirect
91. #17988929C22semidirect
92. #17988929C22semidirect
93. #17988923C22semidirect
94. #17988918C22semidirect
97. #17988912C22semidirect
98. #17988912C22semidirect
99. #17988912C22semidirect
100. #17988912C22semidirect
101. #17988912C22semidirect
102. #17988912C22semidirect
103. #17988912C22semidirect
106. #17988895C22semidirect
107. #17988895C22semidirect
108. #17988895C22semidirect
114. #17988888C22semidirect
115. #17988888C22semidirect
116. #17988888C22semidirect
117. #17988888C22semidirect
118. #17988883C22semidirect
119. #17988883C22semidirect
120. #17988883C22semidirect
123. #17988878C22semidirect
124. #17988878C22semidirect
125. #17988878C22semidirect
126. #17988878C22semidirect
127. #17988878C22semidirect
128. #17988873C22semidirect
129. #17988873C22semidirect
132. #17988868C22semidirect
133. #17988868C22semidirect
134. #17988868C22semidirect
135. #17988868C22semidirect
136. #17988845C22semidirect
139. #17988833C22semidirect
140. #17988828C22semidirect
142. #17988823C22semidirect
143. #17988823C22semidirect
145. #17988816C22semidirect
146. #17988816C22semidirect
147. #17988816C22semidirect
148. #17988810C22semidirect
149. #17988810C22semidirect
150. #17988810C22semidirect
152. #17988803C22semidirect
153. #17988803C22semidirect
154. #17988803C22semidirect
155. #17988803C22semidirect
166. #17988700C22semidirect
167. #17988695C22semidirect
170. #17988689C22semidirect
171. #17988689C22semidirect
173. C4×#11924017C22semidirect
175. C4×D584C22semidirect
176. #17988629C22semidirect
177. #17988629C22semidirect
178. #17988625C22semidirect
179. #17988625C22semidirect
180. #17988625C22semidirect
181. #17988625C22semidirect
189. #446×C73C22semidirect
190. #446×C73C22semidirect
193. #435×C73C22semidirect
194. #435×C73C22semidirect
195. C8×D4×C73C22semidirect
196. C8×D4×C73C22semidirect
197. #433×C73C22semidirect
198. #433×C73C22semidirect
199. #432×C73C22semidirect
200. #424×C73C22semidirect
201. #424×C73C22semidirect
202. C2×C4⋊C8×C73C22semidirect
864. #2992D73semidirect
865. C73#62159semidirect
999. #446C2×D73semidirect
1000. #446C2×D73semidirect
1015. #435C2×D73semidirect
1016. #435C2×D73semidirect
1017. C8×D4C2×D73semidirect
1018. C8×D4C2×D73semidirect
1019. #433C2×D73semidirect
1020. #433C2×D73semidirect
1021. #432C2×D73semidirect
1028. #424C2×D73semidirect
1029. #424C2×D73semidirect
1030. C2×C4⋊C8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245762
#226238942
#226228542
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