Finite Group Databasebeta

← #33982814

Subgroups — #33982814

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#22624574C211yesmaximal, characteristic, complemented
2#22623891C211yesmaximal, characteristic, complemented
3#22622854C211yesmaximal, characteristic, complemented
4#22622830C211yesmaximal, characteristic, complemented
5#22622693C211yesmaximal, characteristic, complemented
6#22622481C211yesmaximal, characteristic, complemented
7#22622468C211yesmaximal, characteristic, complemented
8#22622443C211yesmaximal, characteristic, complemented
9#22622436C211yesmaximal, characteristic, complemented
10#22622355C211yesmaximal, characteristic, complemented
11#22622341C211yesmaximal, characteristic, complemented
12#22622094C211yesmaximal, characteristic, complemented
13#22622079C211yesmaximal, characteristic, complemented
14#22621966C211yesmaximal, characteristic, complemented
15#22621951C211yesmaximal, characteristic, complemented
16#22621788C211yesmaximal, characteristic, complemented
17#22621765C211yesmaximal, characteristic, complemented
18#22621398C211yesmaximal, characteristic, complemented
19#22621389C211yesmaximal, characteristic, complemented
20#22621253C211yesmaximal, characteristic, complemented
21#22621224C211yesmaximal, characteristic, complemented
22#22621207C211yesmaximal, characteristic, complemented
23#22621124C211yesmaximal, characteristic, complemented
24#22620113C211yesmaximal, characteristic, complemented
25#22620111C211yesmaximal, characteristic, complemented
26#22620038C211yesmaximal, characteristic, complemented
27#22619759C211yesmaximal, characteristic, complemented
28#22619755C211yesmaximal, characteristic, complemented
29#22619718C211yesmaximal, characteristic, complemented
30#22619069C211yesmaximal, characteristic, complemented
31C73×#3370C211yesmaximal, characteristic, complemented
32#17989338—21no—
33#17989333—21no—
34#17989315C2211yescharacteristic, complemented
35#17989311C2211yescharacteristic, complemented
36#17989310C2211yescharacteristic
37#17989308—21no—
38#17989302C2211yescharacteristic
39#17989302C2211yescharacteristic
40#17989302C2211yescharacteristic, complemented
41#17989287C2211yescharacteristic
42#17989287C2211yescharacteristic, complemented
43#17989275C2211yescharacteristic
44#17989275C2211yescharacteristic, complemented
45#17989272—21no—
46#17989260—21no—
47#17989260—21no—
48Q8×D292C2211yescharacteristic
49#17989245—21no—
50#17989232—21no—
51#17989230C2211yescharacteristic
52#17989230C2211yescharacteristic
53#17989222C2211yescharacteristic
54#17989217C2211yescharacteristic, complemented
55#17989214C2211yescharacteristic, complemented
56#17989207—21no—
57#17989207—21no—
58#17989206C2211yescharacteristic
59#17989206C2211yescharacteristic
60#17989202C2211yescharacteristic, complemented
61#17989202C2211yescharacteristic, complemented
62#17989197—21no—
63#17989184—21no—
64#17989173—21no—
65#17989173—21no—
66#17989143C2211yescharacteristic, complemented
67#17989135C2211yescharacteristic
68#17989124C2211yescharacteristic
69#17989119—21no—
70#17989119C2211yescharacteristic, complemented
71#124×D73—21no—
72#17989059C2211yescharacteristic
73#17989059C2211yescharacteristic
74C4×#11924029C2211yescharacteristic
75#17988997C2211yescharacteristic, complemented
76#17988997C2211yescharacteristic, complemented
77#17988996C2211yescharacteristic, complemented
78#17988996C2211yescharacteristic, complemented
79#17988992C2211yescharacteristic, complemented
80#17988983C2211yescharacteristic, complemented
81#17988951C2211yescharacteristic
82#17988946C2211yescharacteristic, complemented
83#17988941C2211yescharacteristic, complemented
84#17988931C2211yescharacteristic, complemented
85#17988930C2211yescharacteristic, complemented
86#17988930C2211yescharacteristic, complemented
87#17988927C2211yescharacteristic, complemented
88#17988927C2211yescharacteristic, complemented
89#17988921C2211yescharacteristic, complemented
90#17988916C2211yescharacteristic, complemented
91#17988910C2211yescharacteristic, complemented
92#17988910C2211yescharacteristic, complemented
93#17988910C2211yescharacteristic, complemented
94#17988909C2211yescharacteristic
95#17988909C2211yescharacteristic
96#17988909C2211yescharacteristic, complemented
97#17988909C2211yescharacteristic, complemented
98#17988909C2211yescharacteristic, complemented
99#17988909C2211yescharacteristic, complemented
100#17988904C2211yescharacteristic
101#17988899C2211yescharacteristic
102#17988896C2211yescharacteristic, complemented
103#17988894C2211yescharacteristic, complemented
104#17988890C2211yescharacteristic
105#17988888C2211yescharacteristic
106#17988888C2211yescharacteristic
107#17988887C2211yescharacteristic, complemented
108#17988885C2211yescharacteristic, complemented
109#17988885C2211yescharacteristic, complemented
110#17988884C2211yescharacteristic
111#17988884C2211yescharacteristic
112#17988883C2211yescharacteristic, complemented
113#17988883C2211yescharacteristic, complemented
114#17988880C2211yescharacteristic, complemented
115#17988877C2211yescharacteristic, complemented
116#17988877C2211yescharacteristic, complemented
117#17988877C2211yescharacteristic, complemented
118#17988876C2211yescharacteristic
119#17988875C2211yescharacteristic, complemented
120#17988875C2211yescharacteristic, complemented
121#17988874C2211yescharacteristic
122#17988873C2211yescharacteristic, complemented
123#17988870C2211yescharacteristic, complemented
124#17988868C2211yescharacteristic
125#17988867C2211yescharacteristic, complemented
126#17988866C2211yescharacteristic
127#17988865C2211yescharacteristic, complemented
128#17988865C2211yescharacteristic, complemented
129#17988844C2211yescharacteristic, complemented
130#17988837C2211yescharacteristic
131#17988832C2211yescharacteristic
132#17988830C2211yescharacteristic, complemented
133#17988827C2211yescharacteristic, complemented
134#17988820C2211yescharacteristic
135#17988820C2211yescharacteristic, complemented
136#17988820C2211yescharacteristic, complemented
137#17988815C2211yescharacteristic
138#17988815C2211yescharacteristic, complemented
139#17988815C2211yescharacteristic, complemented
140#17988813C2211yescharacteristic, complemented
141#17988807C2211yescharacteristic, complemented
142#17988806C2211yescharacteristic, complemented
143#17988806C2211yescharacteristic, complemented
144#17988801C2211yescharacteristic
145#17988800C2211yescharacteristic, complemented
146#17988800C2211yescharacteristic, complemented
147#17988784C2211yescharacteristic
148#17988752C2211yescharacteristic
149#17988739C2211yescharacteristic
150#17988739C2211yescharacteristic
151#17988731C2211yescharacteristic
152#17988719C2211yescharacteristic
153#17988719C2211yescharacteristic
154#17988718C2211yescharacteristic, complemented
155#17988697C2211yescharacteristic
156#17988697C2211yescharacteristic
157#17988692C2211yescharacteristic, complemented
158#17988689C2211yescharacteristic
159#17988689C2211yescharacteristic
160#17988687C2211yescharacteristic, complemented
161C4×#11924017C2211yescharacteristic
162C4×#11924016C2211yescharacteristic, complemented
163C4×#11924013C2211yescharacteristic
164#17988660C2211yescharacteristic
165#17988660C2211yescharacteristic, complemented
166#17988657C2211yescharacteristic
167#17988657C2211yescharacteristic, complemented
168C8×D292C2211yescharacteristic, complemented
169#17988652C2211yescharacteristic, complemented
170#17988649C2211yescharacteristic, complemented
171#17988646C2211yescharacteristic, complemented
172#17988642C2211yescharacteristic, complemented
173#17988628C2211yescharacteristic, complemented
174#17988626C2211yescharacteristic, complemented
175#17988624C2211yescharacteristic, complemented
176#17988624C2211yescharacteristic, complemented
177#17988624C2211yescharacteristic, complemented
178#17988622C2211yescharacteristic, complemented
179#17988612C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic
183#17988590C2211yescharacteristic
184#17988582C2211yescharacteristic
185#17988582C2211yescharacteristic
186#102×D73C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#559×C73C2211yescharacteristic
189#554×C73C2211yescharacteristic, complemented
190#490×C73C2211yescharacteristic
191#489×C73C2211yescharacteristic, complemented
192#488×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#478×C73C2211yescharacteristic, complemented
195#474×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#463×C73C2211yescharacteristic, complemented
198#459×C73C2211yescharacteristic
199#446×C73C2211yescharacteristic, complemented
200#442×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202C4×D8×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924027—21no—
205C2×Q8×D73—21no—
206C2×D4×D73—21no—
207C2×D4×D73C2311yescharacteristic
208C2×D4×D73C2311yescharacteristic
209C2×#11924018C2311yescharacteristic
210C2×#11924017C2311yescharacteristic
211C2×#11924016C2311yescharacteristic
212C2×#11924016C2311yescharacteristic
213C2×#11924013C2311yescharacteristic
214C2×#11924011C2311yescharacteristic
215C2×#11924011C2311yescharacteristic
216C2×C8×D73C2311yescharacteristic
217C2×C8×D73C2311yescharacteristic
218C2×C8×D73C2311yescharacteristic
219C2×C8×D73C2311yescharacteristic
220#14556591C2311yescharacteristic
221#14556591C2311yescharacteristic
222#14556591C2311yescharacteristic
223#14556591C2311yescharacteristic
224#14556590—21no—
225#14556590C2311yescharacteristic
226#14556590C2311yescharacteristic
227#14556589—21no—
228#14556589—21no—
229#14556586—21no—
230#14556586—21no—
231#14556586—21no—
232#14556586—21no—
233#14556586—21no—
234#14556586—21no—
235#14556586D411yescharacteristic
236#14556586D411yescharacteristic
237#14556584—21no—
238#14556584—21no—
239#14556584—21no—
240#14556584—21no—
241#14556584—21no—
242#14556584—21no—
243#14556584—21no—
244#14556583C2311yescharacteristic
245#14556583C2311yescharacteristic
246#14556582—21no—
247#14556582—21no—
248#14556582D411yescharacteristic
249#14556582C2311yescharacteristic
250#14556581—21no—
251#14556581—21no—
252#14556581—21no—
253#14556581—21no—
254#14556580—21no—
255#14556580D411yescharacteristic
256#14556579—21no—
257#14556578—21no—
258#14556578C2311yescharacteristic
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#14556576D411yescharacteristic
272#14556576D411yescharacteristic
273#14556575—21no—
274#14556575—21no—
275#14556574—21no—
276#14556574—21no—
277#14556574—21no—
278#14556574—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556571—21no—
283#14556571—21no—
284#14556571—21no—
285#14556571—21no—
286#14556571C2311yescharacteristic
287#14556571C2311yescharacteristic
288#14556571C2311yescharacteristic
289#14556570—21no—
290#14556570—21no—
291#14556569—21no—
292#14556569—21no—
293#14556569—21no—
294#14556569—21no—
295#14556568—21no—
296#14556568—21no—
297#14556567—21no—
298#14556567D411yescharacteristic
299#14556567C2311yescharacteristic
300#14556567C2311yescharacteristic
301#14556566D411yescharacteristic
302#14556565—21no—
303#14556565—21no—
304#14556565—21no—
305#14556564—21no—
306#14556564—21no—
307#14556564—21no—
308#14556564—21no—
309#14556562—21no—
310#14556562—21no—
311#14556562C2311yescharacteristic
312#14556562C2311yescharacteristic
313#14556562C2311yescharacteristic
314#14556562C2311yescharacteristic
315#14556562C2311yescharacteristic
316#14556562C2311yescharacteristic
317#14556562C2311yescharacteristic
318#14556561—21no—
319#14556561—21no—
320#14556559—21no—
321#14556559—21no—
322Q8×Dic73—21no—
323Q8×Dic73C2311yescharacteristic
324C4×Dic146—21no—
325C4×Dic146C2311yescharacteristic
326C4×Dic146C2311yescharacteristic
327C4×Dic146C2311yescharacteristic
328#14556556—21no—
329#14556556—21no—
330#14556556—21no—
331C4×D292—21no—
332C4×D292C2311yescharacteristic
333C4×D292C2311yescharacteristic
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336C4×D292C2311yescharacteristic
337C4×D292C2311yescharacteristic
338D4×Dic73—21no—
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341#14556553—21no—
342#14556553C2311yescharacteristic
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348#14556551—21no—
349#14556551—21no—
350#14556550—21no—
351#14556550—21no—
352#14556550—21no—
353#14556550—21no—
354#14556549—21no—
355#14556549—21no—
356#14556549—21no—
357#14556549C2311yescharacteristic
358#14556549C2311yescharacteristic
359#14556549C2311yescharacteristic
360#14556549C2311yescharacteristic
361#14556549C2311yescharacteristic
362#14556549C2311yescharacteristic
363#14556549C2311yescharacteristic
364#14556548C2311yescharacteristic
365#14556548C2311yescharacteristic
366C4⋊C4×D73C2311yescharacteristic
367C4⋊C4×D73C2311yescharacteristic
368C2×#11924005—21no—
369C2×#11924005—21no—
370C22⋊C4×D73—21no—
371C22⋊C4×D73—21no—
372C22⋊C4×D73—21no—
373C22⋊C4×D73—21no—
374C42×D73—21no—
375C42×D73C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556525C2311yescharacteristic
379#14556525C2311yescharacteristic
380#14556525C2311yescharacteristic
381#14556525C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556523C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399C4⋊#10596831C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556502C2311yescharacteristic
434C4×#10596831C2311yescharacteristic
435C2×SD16×C73C2311yescharacteristic
436C2×D8×C73C2311yescharacteristic
437C2×D8×C73C2311yescharacteristic
438C4⋊Q8×C73C2311yescharacteristic
439#127×C73C2311yescharacteristic
440#125×C73C2311yescharacteristic
441#125×C73C2311yescharacteristic
442#124×C73—21no—
443#124×C73C2311yescharacteristic
444#124×C73C2311yescharacteristic
445#123×C73—21no—
446#123×C73—21no—
447C22⋊Q8×C73—21no—
448C22⋊Q8×C73—21no—
449C22⋊Q8×C73—21no—
450C4×Q8×C73C2311yescharacteristic
451C4×Q8×C73C2311yescharacteristic
452C4×D4×C73—21no—
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C2×C4⋊C4×C73—21no—
459#107×C73C2311yescharacteristic
460#107×C73C2311yescharacteristic
461#106×C73C2311yescharacteristic
462C4⋊C8×C73C2311yescharacteristic
463C4⋊C8×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465#103×C73C2311yescharacteristic
466#103×C73C2311yescharacteristic
467#103×C73C2311yescharacteristic
468#102×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#97×C73C2311yescharacteristic
476#97×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C23×D73—21no—
479C23×D73—21no—
480#11924029—22no—
481#11924029—41no—
482#11924027—82no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146C2411yescharacteristic
490Q8×D73—82no—
491C2×D292—21no—
492C2×D292C2×D411yescharacteristic
493C2×D292C2×D411yescharacteristic
494C2×D292C2×D411yescharacteristic
495C2×D292C2411yescharacteristic
496C2×C22⋊D73—21no—
497C2×C22⋊D73—21no—
498C2×C22⋊D73—21no—
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505D4×D73—22no—
506D4×D73—22no—
507D4×D73—41no—
508D4×D73—41no—
509D4×D73—82no—
510C22×Dic73—21no—
511C22×Dic73—21no—
512C2×C4×D73—21no—
513C2×C4×D73—21no—
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73C2×D411yescharacteristic
520C2×C4×D73C2×D411yescharacteristic
521C2×C4×D73C2411yescharacteristic
522C2×C4×D73C2411yescharacteristic
523C2×C4×D73C2411yescharacteristic
524#11924018—41no—
525#11924017—22no—
526#11924016—41no—
527#11924016—41no—
528#11924013—22no—
529#11924011—41no—
530#11924011—41no—
531C2×#10596831C2411yescharacteristic
532C2×#10596831C2411yescharacteristic
533C2×#10596831C2411yescharacteristic
534C2×#10596831C2411yescharacteristic
535C8×D73—41no—
536C8×D73—41no—
537C8×D73—41no—
538C8×D73—41no—
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⋊Dic73C2×D411yescharacteristic
549C4⋊Dic73C2×D411yescharacteristic
550C4⋊Dic73C2×D411yescharacteristic
551C4⋊Dic73C2411yescharacteristic
552C4⋊Dic73C2411yescharacteristic
553C4⋊Dic73C2411yescharacteristic
554C4⋊Dic73C2411yescharacteristic
555C4⋊Dic73C2411yescharacteristic
556C4⋊Dic73C2411yescharacteristic
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#11924007C2×D411yescharacteristic
572#11924007C2×D411yescharacteristic
573#11924007C2×D411yescharacteristic
574#11924007C2×D411yescharacteristic
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—
586#11924005—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#11924005C2×D411yescharacteristic
603#11924005C2×D411yescharacteristic
604#11924005C2×D411yescharacteristic
605#11924005C2×D411yescharacteristic
606#11924005C2×D411yescharacteristic
607#11924005C2×D411yescharacteristic
608#11924005C2×D411yescharacteristic
609#11924005C2×D411yescharacteristic
610#11924005C2×D411yescharacteristic
611#11924005C2×D411yescharacteristic
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—
623C4×Dic73C2×D411yescharacteristic
624C4×Dic73C2×D411yescharacteristic
625C4×Dic73C2411yescharacteristic
626C2×Q8×C73—21no—
627C2×Q8×C73C2×D411yescharacteristic
628C2×Q8×C73C2411yescharacteristic
629C2×D4×C73—21no—
630C2×D4×C73—21no—
631C2×D4×C73C2411yescharacteristic
632C2×D4×C73C2411yescharacteristic
633C2×D4×C73C2411yescharacteristic
634C22×C4×C73—21no—
635C22×C4×C73—21no—
636C22×C4×C73—21no—
637C22×C4×C73—21no—
638C22×C4×C73—21no—
639SD16×C73—41no—
640D8×C73—41no—
641D8×C73—41no—
642C2×C8×C73C2411yescharacteristic
643C2×C8×C73C2411yescharacteristic
644C2×C8×C73C2411yescharacteristic
645C2×C8×C73C2411yescharacteristic
646C4⋊C4×C73—21no—
647C4⋊C4×C73—21no—
648C4⋊C4×C73—21no—
649C4⋊C4×C73—21no—
650C4⋊C4×C73—21no—
651C4⋊C4×C73—21no—
652C4⋊C4×C73C2×D411yescharacteristic
653C4⋊C4×C73C2×D411yescharacteristic
654C4⋊C4×C73C2×D411yescharacteristic
655C4⋊C4×C73C2411yescharacteristic
656C4⋊C4×C73C2411yescharacteristic
657C4⋊C4×C73C2411yescharacteristic
658C4⋊C4×C73C2411yescharacteristic
659C22⋊C4×C73—21no—
660C22⋊C4×C73—21no—
661C22⋊C4×C73—21no—
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73—21no—
667C22⋊C4×C73—21no—
668C42×C73—21no—
669C42×C73C2411yescharacteristic
670C42×C73C2411yescharacteristic
671C42×C73C2411yescharacteristic
672C23×C73—21no—
673C23×C73—21no—
674C23×C73—21no—
675C22×D73—21no—
676C22×D73—42no—
677C22×D73—42no—
678C22×D73—81no—
679C22×D73—81no—
680C22×D73—81no—
681C22×D73—81no—
682C22×D73C22×D411yescharacteristic
683C22×D73C22×D411yescharacteristic
684C22×D73C22×D411yescharacteristic
685Q8×C73—21no—
686Q8×C73—21no—
687Q8×C73—41no—
688Q8×C73—81no—
689D4×C73—21no—
690D4×C73—21no—
691D4×C73—21no—
692D4×C73—21no—
693D4×C73—21no—
694D4×C73—21no—
695D4×C73—42no—
696D4×C73—81no—
697C2×C4×C73—21no—
698C2×C4×C73—21no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—81no—
703C2×C4×C73—81no—
704C2×C4×C73—81no—
705C2×C4×C73—81no—
706C2×C4×C73—81no—
707C2×C4×C73C22×D411yescharacteristic
708C2×C4×C73C22×D411yescharacteristic
709C2×C4×C73C22×D411yescharacteristic
710C2×C4×C73C22×D411yescharacteristic
711C2×C4×C73C22×D411yescharacteristic
712C2×C4×C73C22×D411yescharacteristic
713C2×C4×C73C2511yescharacteristic
714C22⋊D73—42no—
715C22⋊D73—42no—
716C22⋊D73—81no—
717C22⋊D73—81no—
718C22⋊D73—81no—
719C22⋊D73—81no—
720C22⋊D73—81no—
721C22⋊D73—81no—
722C22⋊D73—81no—
723C2×Dic73—21no—
724C2×Dic73—21no—
725C2×Dic73—21no—
726C2×Dic73—21no—
727C2×Dic73—21no—
728C2×Dic73—21no—
729C2×Dic73—21no—
730C2×Dic73—81no—
731C2×Dic73—81no—
732C2×Dic73C22×D411yescharacteristic
733C2×Dic73C22×D411yescharacteristic
734C2×Dic73C22×D411yescharacteristic
735C2×Dic73C22×D411yescharacteristic
736C2×Dic73C22×D411yescharacteristic
737D292—21no—
738D292—41no—
739D292—41no—
740D292—41no—
741D292—42no—
742D2922−1+412yes—
743C4×D73—21no—
744C4×D73—21no—
745C4×D73—21no—
746C4×D73—21no—
747C4×D73—21no—
748C4×D73—21no—
749C4×D73—41no—
750C4×D73—41no—
751C4×D73—42no—
752C4×D73—42no—
753C4×D73—81no—
754C4×D73—81no—
755C4×D73—81no—
756C4×D73—81no—
757C4×D73—81no—
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—
770#10596831—21no—
771#10596831—21no—
772#10596831—21no—
773#10596831—21no—
774C22×C73—41no—
775C22×C73—41no—
776C22×C73—41no—
777C22×C73—41no—
778C22×C73—41no—
779C22×C73—41no—
780C22×C73—41no—
781C22×C73—41no—
782C22×C73—41no—
783C22×C73C23×D411yescharacteristic
784C2×D73—21no—
785C2×D73—21no—
786C2×D73—21no—
787C2×D73—21no—
788C2×D73—21no—
789C2×D73—21no—
790C2×D73—21no—
791C2×D73—21no—
792C2×D73—21no—
793C2×D73—22no—
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—41no—
805C4×C73—41no—
806C4×C73—41no—
807C4×C73—41no—
808C4×C73—41no—
809C4×C73C2×2−1+411yescharacteristic
810C4×C73#58511yescharacteristic
811Dic73—21no—
812Dic73—21no—
813Dic73—21no—
814Dic73—21no—
815Dic73—21no—
816Dic73—41no—
817Dic73—41no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822Dic73—41no—
823#62159—731nomaximal, Sylow
824C2×C73—81no—
825C2×C73—81no—
826C2×C73—81no—
827C2×C73#348911yescharacteristic
828C2×C73#358411yescharacteristic
829C2×C73#358511yescharacteristic
830D73—41no—
831D73—41no—
832D73—41no—
833D73—42no—
834#3565—731no—
835#3514—731no—
836#3386—731no—
837#3384—731no—
838#3371—731no—
839#3370D7311yescharacteristic, complemented
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#2992—731no—
865C73#6215911yescharacteristic, complemented, Sylow
866#563—1461no—
867#562—1461no—
868#559C2×D7311yescharacteristic
869#557—731no—
870#556—731no—
871#556—731no—
872#556—1461no—
873#555—731no—
874#555—731no—
875#555—731no—
876#554C2×D7311yescharacteristic, complemented
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—731no—
906#529—1461no—
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#490C2×D7311yescharacteristic
919#489—731no—
920#489C2×D7311yescharacteristic, complemented
921#488—731no—
922#488C2×D7311yescharacteristic, complemented
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#479C2×D7311yescharacteristic, complemented
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#478C2×D7311yescharacteristic, complemented
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#474C2×D7311yescharacteristic, complemented
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#463C2×D7311yescharacteristic, complemented
990#463C2×D7311yescharacteristic, complemented
991#460—731no—
992#459C2×D7311yescharacteristic
993#452—731no—
994#450—731no—
995#450—731no—
996#449—731no—
997#447—731no—
998#447—731no—
999#446—731no—
1000#446C2×D7311yescharacteristic, complemented
1001#442—731no—
1002#442—731no—
1003#442C2×D7311yescharacteristic, complemented
1004#441—731no—
1005#440—731no—
1006#440—731no—
1007#440—731no—
1008#440C2×D7311yescharacteristic, complemented
1009C4×SD16—731no—
1010C4×SD16—731no—
1011C4×D8—731no—
1012C4×D8C2×D7311yescharacteristic, complemented
1013#435—731no—
1014#435—731no—
1015#435—731no—
1016#435—731no—
1017C8×D4—731no—
1018C8×D4—731no—
1019#433—731no—
1020#433—731no—
1021#432—731no—
1022#428—731no—
1023#428—731no—
1024#427—731no—
1025#427—731no—
1026#427—731no—
1027#427—731no—
1028#424—731no—
1029#424—731no—
1030C2×C4⋊C8—731no—
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×SD16C22×D7311yescharacteristic
1048C2×D8—731no—
1049C2×D8C22×D7311yescharacteristic
1050C2×D8C22×D7311yescharacteristic
1051C2×M16—731no—
1052C2×M16—731no—
1053C22×C8—731no—
1054C22×C8—731no—
1055C22×C8—731no—
1056C22×C8—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—
1065C4⋊Q8—1461no—
1066C4⋊Q8C22×D7311yescharacteristic
1067#127C22×D7311yescharacteristic
1068#126—731no—
1069#126—731no—
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#126—1461no—
1082#126—1461no—
1083#125—731no—
1084#125—731no—
1085#125—731no—
1086#125—731no—
1087#125—1461no—
1088#125—1461no—
1089#125—1461no—
1090#125—1461no—
1091#125—1461no—
1092#125—1461no—
1093#125C22×D7311yescharacteristic
1094#125C22×D7311yescharacteristic
1095#124—21no—
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#124C22×D7311yescharacteristic
1112#124C22×D7311yescharacteristic
1113#123—21no—
1114#123—21no—
1115#123—731no—
1116#123—731no—
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#123—1461no—
1127#123—1461no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—731no—
1132C22⋊Q8—731no—
1133C22⋊Q8—731no—
1134C22⋊Q8—731no—
1135C22⋊Q8—731no—
1136C22⋊Q8—731no—
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⋊Q8—1461no—
1150#121—731no—
1151#121—731no—
1152#121—731no—
1153#121—731no—
1154#121—731no—
1155#121—731no—
1156#121—731no—
1157#121—731no—
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#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—1461no—
1176C4×Q8—1461no—
1177C4×Q8—1461no—
1178C4×Q8—1461no—
1179C4×Q8—1461no—
1180C4×Q8C22×D7311yescharacteristic
1181C4×Q8C22×D7311yescharacteristic
1182C4×D4—21no—
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—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×D4—1461no—
1202C4×D4C22×D7311yescharacteristic
1203C4×D4C22×D7311yescharacteristic
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—731no—
1215#117—731no—
1216#117—1461no—
1217#117—1461no—
1218#117—1461no—
1219#117—1461no—
1220#117—1461no—
1221#117—1461no—
1222#117—1461no—
1223C2×C4⋊C4—21no—
1224C2×C4⋊C4—731no—
1225C2×C4⋊C4—731no—
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—731no—
1233C2×C42—1461no—
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#107C22×D7311yescharacteristic
1245#107C22×D7311yescharacteristic
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#106C22×D7311yescharacteristic
1258C4⋊C8—731no—
1259C4⋊C8—731no—
1260C4⋊C8—731no—
1261C4⋊C8—731no—
1262C4⋊C8—731no—
1263C4⋊C8—731no—
1264C4⋊C8—731no—
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#103C22×D7311yescharacteristic
1276#103C22×D7311yescharacteristic
1277#103C22×D7311yescharacteristic
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#102C22×D7311yescharacteristic
1294#102C22×D7311yescharacteristic
1295#102C22×D7311yescharacteristic
1296#102C22×D7311yescharacteristic
1297#102C22×D7311yescharacteristic
1298#102C22×D7311yescharacteristic
1299#102C22×D7311yescharacteristic
1300C22⋊C8—731no—
1301C22⋊C8—731no—
1302C22⋊C8—731no—
1303C22⋊C8—731no—
1304C22⋊C8—731no—
1305C22⋊C8—731no—
1306#97—731no—
1307#97—731no—
1308#97C22×D7311yescharacteristic
1309#97C22×D7311yescharacteristic
1310C4×C8—731no—
1311C4×C8C22×D7311yescharacteristic
1312C24—1461no—
1313C24—1461no—
1314#41—2921no—
1315#41—5842no—
1316#41—1462no—
1317C2×Q8—21no—
1318C2×Q8—5842no—
1319C2×Q8—731no—
1320C2×Q8—1461no—
1321C2×Q8—1461no—
1322C2×Q8—1461no—
1323C2×Q8—1461no—
1324C2×Q8—1461no—
1325C2×Q8—1461no—
1326C2×Q8D4×D7311yescharacteristic
1327C2×Q8C23×D7311yescharacteristic
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—2921no—
1331C2×D4—2921no—
1332C2×D4—5842no—
1333C2×D4—731no—
1334C2×D4—731no—
1335C2×D4—731no—
1336C2×D4—731no—
1337C2×D4—1461no—
1338C2×D4—1461no—
1339C2×D4—1461no—
1340C2×D4—1462no—
1341C2×D4—1462no—
1342C2×D4—1461no—
1343C2×D4—1461no—
1344C2×D4—1461no—
1345C2×D4—1461no—
1346C2×D4—1461no—
1347C2×D4—1461no—
1348C2×D4—1461no—
1349C2×D4C23×D7311yescharacteristic
1350C2×D4C23×D7311yescharacteristic
1351C2×D4C23×D7311yescharacteristic
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—731no—
1358C22×C4—731no—
1359C22×C4—731no—
1360C22×C4—731no—
1361C22×C4—731no—
1362C22×C4—1461no—
1363C22×C4—1461no—
1364C22×C4—1461no—
1365C22×C4—1461no—
1366C22×C4—1461no—
1367C22×C4—1461no—
1368C22×C4—1461no—
1369C22×C4—1461no—
1370C22×C4—1461no—
1371Q16—2921no—
1372SD16—41no—
1373SD16—2921no—
1374SD16—2921no—
1375SD16—1462no—
1376D8—41no—
1377D8—41no—
1378D8—1462no—
1379M16—2921no—
1380M16—2921no—
1381C2×C8—2921no—
1382C2×C8—2921no—
1383C2×C8—2921no—
1384C2×C8—2921no—
1385C2×C8—731no—
1386C2×C8—731no—
1387C2×C8—731no—
1388C2×C8—731no—
1389C2×C8C23×D7311yescharacteristic
1390C2×C8C23×D7311yescharacteristic
1391C2×C8C23×D7311yescharacteristic
1392C2×C8C23×D7311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—731no—
1400C4⋊C4—731no—
1401C4⋊C4—731no—
1402C4⋊C4—731no—
1403C4⋊C4—731no—
1404C4⋊C4—731no—
1405C4⋊C4—731no—
1406C4⋊C4—731no—
1407C4⋊C4—731no—
1408C4⋊C4—731no—
1409C4⋊C4—731no—
1410C4⋊C4—731no—
1411C4⋊C4—731no—
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⋊C4D4×D7311yescharacteristic
1436C4⋊C4D4×D7311yescharacteristic
1437C4⋊C4D4×D7311yescharacteristic
1438C4⋊C4C23×D7311yescharacteristic
1439C4⋊C4C23×D7311yescharacteristic
1440C4⋊C4C23×D7311yescharacteristic
1441C4⋊C4C23×D7311yescharacteristic
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—731no—
1452C22⋊C4—731no—
1453C22⋊C4—731no—
1454C22⋊C4—731no—
1455C22⋊C4—731no—
1456C22⋊C4—731no—
1457C22⋊C4—731no—
1458C22⋊C4—731no—
1459C22⋊C4—731no—
1460C22⋊C4—731no—
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⋊C4—1461no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C42—21no—
1489C42—731no—
1490C42—731no—
1491C42—731no—
1492C42—1461no—
1493C42—1461no—
1494C42—1461no—
1495C42—1461no—
1496C42—1461no—
1497C42—1461no—
1498C42—1461no—
1499C42—1461no—
1500C42—1461no—
1501C42—1461no—
1502C42—1461no—
1503C42C23×D7311yescharacteristic
1504C42C23×D7311yescharacteristic
1505C42C23×D7311yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—2922no—
1510C23—2922no—
1511C23—5841no—
1512C23—5841no—
1513C23—5841no—
1514C23—5841no—
1515C23—731no—
1516C23—731no—
1517C23—731no—
1518C23—1461no—
1519Q8—21no—
1520Q8—21no—
1521Q8—41no—
1522Q8—81no—
1523Q8—2922no—
1524Q8—5841no—
1525Q8—5841no—
1526Q8—5841no—
1527Q8—5841no—
1528Q8—5841no—
1529Q8—1461no—
1530Q8—1461no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—21no—
1535D4—21no—
1536D4—21no—
1537D4—42no—
1538D4—81no—
1539D4—2921no—
1540D4—2921no—
1541D4—2921no—
1542D4—2922no—
1543D4—2922no—
1544D4—2922no—
1545D4—5841no—
1546D4—5841no—
1547D4—5841no—
1548D4—5841no—
1549D4—5841no—
1550D4—5841no—
1551D4—5841no—
1552D4—732no—
1553D4—1461no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—81no—
1560C2×C4—81no—
1561C2×C4—81no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—2922no—
1565C2×C4—2921no—
1566C2×C4—2921no—
1567C2×C4—2922no—
1568C2×C4—5841no—
1569C2×C4—5841no—
1570C2×C4—5841no—
1571C2×C4—5841no—
1572C2×C4—5841no—
1573C2×C4—5841no—
1574C2×C4—5841no—
1575C2×C4—731no—
1576C2×C4—731no—
1577C2×C4—731no—
1578C2×C4—731no—
1579C2×C4—731no—
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×C4—1461no—
1589C2×C4—1461no—
1590C2×C4—1461no—
1591C2×C4—1461no—
1592C2×C4—1461no—
1593C2×C4C2×D4×D7311yescharacteristic
1594C2×C4C2×D4×D7311yescharacteristic
1595C2×C4C2×D4×D7311yescharacteristic
1596C2×C4C2×D4×D7311yescharacteristic
1597C2×C4C2×D4×D7311yescharacteristic
1598C2×C4C2×D4×D7311yescharacteristic
1599C2×C4C24×D7311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1461no—
1605C8—1461no—
1606C8—1461no—
1607C8—1461no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—2921no—
1618C22—2921no—
1619C22—11682no—
1620C22—11682no—
1621C22—1462no—
1622C22—1461no—
1623C22—1461no—
1624C22—1461no—
1625C22—1461no—
1626C22—1461no—
1627C22—1461no—
1628C22—1461no—
1629C22—1461no—
1630C22—1461no—
1631C22C22×D4×D7311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—2921no—
1644C4—2921no—
1645C4—2921no—
1646C4—2921no—
1647C4—2921no—
1648C4—2921no—
1649C4—2921no—
1650C4—1461no—
1651C4—1461no—
1652C4—1461no—
1653C4—1461no—
1654C4—1461no—
1655C42−1+4×D7311yescharacteristic
1656C4#1798942311yescharacteristic
1657C2—81no—
1658C2—81no—
1659C2—81no—
1660C2—2922no—
1661C2—2921no—
1662C2—2921no—
1663C2—2921no—
1664C2#2262361011yescharacteristic
1665C2#2262469911yescharacteristic
1666C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3370C2
socleC22×C73C23×D4
hypercenter#3370D73
hypocenterC73#62159
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3370

Complements

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

NH ≅ G/Ntype
1. #22624574C2semidirect
2. #22623891C2semidirect
3. #22622854C2semidirect
4. #22622830C2semidirect
5. #22622693C2semidirect
6. #22622481C2semidirect
7. #22622468C2semidirect
8. #22622443C2semidirect
9. #22622436C2semidirect
10. #22622355C2semidirect
11. #22622341C2semidirect
12. #22622094C2semidirect
13. #22622079C2semidirect
14. #22621966C2semidirect
15. #22621951C2semidirect
16. #22621788C2semidirect
17. #22621765C2semidirect
18. #22621398C2semidirect
19. #22621389C2semidirect
20. #22621253C2semidirect
21. #22621224C2semidirect
22. #22621207C2semidirect
23. #22621124C2semidirect
24. #22620113C2semidirect
25. #22620111C2semidirect
26. #22620038C2semidirect
27. #22619759C2semidirect
28. #22619755C2semidirect
29. #22619718C2semidirect
30. #22619069C2semidirect
31. C73×#3370C2semidirect
34. #17989315C22semidirect
35. #17989311C22semidirect
40. #17989302C22semidirect
42. #17989287C22semidirect
44. #17989275C22semidirect
54. #17989217C22semidirect
55. #17989214C22semidirect
60. #17989202C22semidirect
61. #17989202C22semidirect
66. #17989143C22semidirect
70. #17989119C22semidirect
75. #17988997C22semidirect
76. #17988997C22semidirect
77. #17988996C22semidirect
78. #17988996C22semidirect
79. #17988992C22semidirect
80. #17988983C22semidirect
82. #17988946C22semidirect
83. #17988941C22semidirect
84. #17988931C22semidirect
85. #17988930C22semidirect
86. #17988930C22semidirect
87. #17988927C22semidirect
88. #17988927C22semidirect
89. #17988921C22semidirect
90. #17988916C22semidirect
91. #17988910C22semidirect
92. #17988910C22semidirect
93. #17988910C22semidirect
96. #17988909C22semidirect
97. #17988909C22semidirect
98. #17988909C22semidirect
99. #17988909C22semidirect
102. #17988896C22semidirect
103. #17988894C22semidirect
107. #17988887C22semidirect
108. #17988885C22semidirect
109. #17988885C22semidirect
112. #17988883C22semidirect
113. #17988883C22semidirect
114. #17988880C22semidirect
115. #17988877C22semidirect
116. #17988877C22semidirect
117. #17988877C22semidirect
119. #17988875C22semidirect
120. #17988875C22semidirect
122. #17988873C22semidirect
123. #17988870C22semidirect
125. #17988867C22semidirect
127. #17988865C22semidirect
128. #17988865C22semidirect
129. #17988844C22semidirect
132. #17988830C22semidirect
133. #17988827C22semidirect
135. #17988820C22semidirect
136. #17988820C22semidirect
138. #17988815C22semidirect
139. #17988815C22semidirect
140. #17988813C22semidirect
141. #17988807C22semidirect
142. #17988806C22semidirect
143. #17988806C22semidirect
145. #17988800C22semidirect
146. #17988800C22semidirect
154. #17988718C22semidirect
157. #17988692C22semidirect
160. #17988687C22semidirect
162. C4×#11924016C22semidirect
165. #17988660C22semidirect
167. #17988657C22semidirect
168. C8×D292C22semidirect
169. #17988652C22semidirect
170. #17988649C22semidirect
171. #17988646C22semidirect
172. #17988642C22semidirect
173. #17988628C22semidirect
174. #17988626C22semidirect
175. #17988624C22semidirect
176. #17988624C22semidirect
177. #17988624C22semidirect
178. #17988622C22semidirect
179. #17988612C22semidirect
180. #17988612C22semidirect
181. C4⋊C8×D73C22semidirect
189. #554×C73C22semidirect
191. #489×C73C22semidirect
192. #488×C73C22semidirect
193. #479×C73C22semidirect
194. #478×C73C22semidirect
195. #474×C73C22semidirect
196. #463×C73C22semidirect
197. #463×C73C22semidirect
199. #446×C73C22semidirect
200. #442×C73C22semidirect
201. #440×C73C22semidirect
202. C4×D8×C73C22semidirect
839. #3370D73semidirect
865. C73#62159semidirect
876. #554C2×D73semidirect
920. #489C2×D73semidirect
922. #488C2×D73semidirect
943. #479C2×D73semidirect
952. #478C2×D73semidirect
970. #474C2×D73semidirect
989. #463C2×D73semidirect
990. #463C2×D73semidirect
1000. #446C2×D73semidirect
1003. #442C2×D73semidirect
1008. #440C2×D73semidirect
1012. C4×D8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245742
#226238912
#226228542
#226228302
#226226932
#226224812
#226224682
#226224432
#226224362
#226223552
#226223412
#226220942
#226220792
#226219662
#226219512
#226217882
#226217652
#226213982
#226213892
#226212532
#226212242
#226212072
#226211242
#226201132
#226201112
#226200382
#226197592
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