Finite Group Databasebeta

← #33982960

Subgroups — #33982960

Order 18688.

1694 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624535C211yesmaximal, characteristic, complemented
2#22623967C211yesmaximal, characteristic
3#22622856C211yesmaximal, characteristic, complemented
4#22622853C211yesmaximal, characteristic, complemented
5#22622777C211yesmaximal, characteristic, complemented
6#22622772C211yesmaximal, characteristic, complemented
7#22622392C211yesmaximal, characteristic, complemented
8#22622388C211yesmaximal, characteristic, complemented
9#22622375C211yesmaximal, characteristic, complemented
10#22622366C211yesmaximal, characteristic, complemented
11#22622319C211yesmaximal, characteristic, complemented
12#22622318C211yesmaximal, characteristic, complemented
13#22622031C211yesmaximal, characteristic, complemented
14#22622028C211yesmaximal, characteristic, complemented
15#22622008C211yesmaximal, characteristic, complemented
16#22621770C211yesmaximal, characteristic, complemented
17#22621766C211yesmaximal, characteristic, complemented
18#22621358C211yesmaximal, characteristic, complemented
19#22621354C211yesmaximal, characteristic, complemented
20#22621272C211yesmaximal, characteristic, complemented
21#22621210C211yesmaximal, characteristic, complemented
22#22621209C211yesmaximal, characteristic, complemented
23#22621136C211yesmaximal, characteristic, complemented
24#22620149C211yesmaximal, characteristic, complemented
25#22620138C211yesmaximal, characteristic, complemented
26#22620025C211yesmaximal, characteristic, complemented
27#22619786C211yesmaximal, characteristic, complemented
28#22619777C211yesmaximal, characteristic, complemented
29C2×#17988889C211yesmaximal, characteristic, complemented
30#22619071C211yesmaximal, characteristic, complemented
31C73×#3314C211yesmaximal, characteristic, complemented
32C73⋊#564—21no—
33#17989338—21no—
34#17989313C2211yescharacteristic, complemented
35#17989312C2211yescharacteristic, complemented
36#17989306C2211yescharacteristic
37#17989295C2211yescharacteristic
38#17989294C2211yescharacteristic
39#17989292C2211yescharacteristic
40#17989279—21no—
41#17989279C2211yescharacteristic
42#17989277—21no—
43#17989277C2211yescharacteristic
44#17989274—21no—
45#17989272C2211yescharacteristic, complemented
46#17989271C2211yescharacteristic, complemented
47#17989268—21no—
48#17989263—21no—
49D4×Dic146C2211yescharacteristic
50#17989243—21no—
51#17989237C2211yescharacteristic
52#17989236C2211yescharacteristic
53#17989231C2211yescharacteristic
54#17989218C2211yescharacteristic, complemented
55#17989216—21no—
56#17989214C2211yescharacteristic, complemented
57#17989206C2211yescharacteristic
58#17989204C2211yescharacteristic
59#17989197—21no—
60#17989197C2211yescharacteristic, complemented
61#17989196—21no—
62#17989195C2211yescharacteristic, complemented
63#17989182—21no—
64#17989181—21no—
65#17989179—21no—
66#17989139C2211yescharacteristic
67#17989139C2211yescharacteristic
68#17989117C2211yescharacteristic
69C2×#14556582C2211yescharacteristic
70#17989093—21no—
71C2×#14556568—21no—
72#17989070C2211yescharacteristic
73#17989066C2211yescharacteristic
74C2×D4×Dic73C2211yescharacteristic
75#17988996C2211yescharacteristic, complemented
76#17988995C2211yescharacteristic, complemented
77#17988995C2211yescharacteristic, complemented
78#17988995C2211yescharacteristic, complemented
79#17988991C2211yescharacteristic, complemented
80#17988990C2211yescharacteristic, complemented
81#17988954C2211yescharacteristic, complemented
82#17988954C2211yescharacteristic, complemented
83#17988945C2211yescharacteristic
84#17988941C2211yescharacteristic
85#17988940C2211yescharacteristic
86#17988929C2211yescharacteristic, complemented
87#17988926C2211yescharacteristic, complemented
88#17988924C2211yescharacteristic, complemented
89#17988923C2211yescharacteristic
90#17988922C2211yescharacteristic
91#17988922C2211yescharacteristic, complemented
92#17988921C2211yescharacteristic, complemented
93#17988920C2211yescharacteristic
94#17988920C2211yescharacteristic, complemented
95#17988918C2211yescharacteristic
96#17988918C2211yescharacteristic, complemented
97#17988916C2211yescharacteristic, complemented
98#17988915C2211yescharacteristic
99#17988910C2211yescharacteristic
100#17988908C2211yescharacteristic
101#17988899C2211yescharacteristic
102#17988895C2211yescharacteristic, complemented
103#17988893C2211yescharacteristic, complemented
104#17988893C2211yescharacteristic, complemented
105#17988892C2211yescharacteristic, complemented
106#17988892C2211yescharacteristic, complemented
107#17988892C2211yescharacteristic, complemented
108#17988889C2211yescharacteristic
109#17988889C2211yescharacteristic
110#17988889C2211yescharacteristic
111#17988889C2211yescharacteristic
112#17988889C2211yescharacteristic
113#17988889C2211yescharacteristic
114#17988889C2211yescharacteristic
115#17988889C2211yescharacteristic
116#17988889C2211yescharacteristic
117#17988887C2211yescharacteristic
118#17988882C2211yescharacteristic, complemented
119#17988881C2211yescharacteristic, complemented
120#17988881C2211yescharacteristic, complemented
121#17988881C2211yescharacteristic, complemented
122#17988880C2211yescharacteristic, complemented
123#17988880C2211yescharacteristic, complemented
124#17988880C2211yescharacteristic, complemented
125#17988879C2211yescharacteristic, complemented
126#17988873C2211yescharacteristic, complemented
127#17988870C2211yescharacteristic, complemented
128#17988865C2211yescharacteristic
129#17988865C2211yescharacteristic
130#17988865C2211yescharacteristic
131#17988845C2211yescharacteristic, complemented
132#17988842C2211yescharacteristic, complemented
133#17988832C2211yescharacteristic
134#17988828C2211yescharacteristic
135#17988827C2211yescharacteristic, complemented
136#17988826C2211yescharacteristic
137#17988826C2211yescharacteristic
138#17988826C2211yescharacteristic, complemented
139#17988814C2211yescharacteristic
140#17988813C2211yescharacteristic
141#17988808C2211yescharacteristic
142#17988807C2211yescharacteristic
143#17988806C2211yescharacteristic
144#17988796C2211yescharacteristic, complemented
145#17988796C2211yescharacteristic, complemented
146#17988795C2211yescharacteristic, complemented
147#17988795C2211yescharacteristic, complemented
148#17988790C2211yescharacteristic
149#17988790C2211yescharacteristic
150#17988750C2211yescharacteristic
151#17988749C2211yescharacteristic
152#17988746C2211yescharacteristic
153#17988738C2211yescharacteristic
154#17988715C2211yescharacteristic, complemented
155#17988714C2211yescharacteristic, complemented
156#17988695C2211yescharacteristic, complemented
157#17988694C2211yescharacteristic, complemented
158#17988688C2211yescharacteristic
159#17988688C2211yescharacteristic
160#17988684C2211yescharacteristic
161#17988684C2211yescharacteristic
162#17988684C2211yescharacteristic
163C4×#11924018C2211yescharacteristic, complemented
164#17988679C2211yescharacteristic, complemented
165SD16×Dic73C2211yescharacteristic
166C4×#11924016C2211yescharacteristic
167#17988658C2211yescharacteristic
168#17988656C2211yescharacteristic, complemented
169#17988655C2211yescharacteristic, complemented
170D4×#10596831C2211yescharacteristic
171#17988650C2211yescharacteristic
172#17988649C2211yescharacteristic, complemented
173#17988645C2211yescharacteristic, complemented
174#17988641C2211yescharacteristic
175#17988629C2211yescharacteristic, complemented
176#17988628C2211yescharacteristic, complemented
177C2×#14556524C2211yescharacteristic
178C2×#14556524C2211yescharacteristic, complemented
179#107×D73C2211yescharacteristic, complemented
180C2×#14556523C2211yescharacteristic
181#17988615C2211yescharacteristic, complemented
182#17988612C2211yescharacteristic, complemented
183C2×#14556520C2211yescharacteristic
184#17988585C2211yescharacteristic
185#17988583C2211yescharacteristic
186#17988580C2211yescharacteristic
187C2×#14556512C2211yescharacteristic
188#554×C73C2211yescharacteristic
189#546×C73C2211yescharacteristic
190#489×C73C2211yescharacteristic
191#484×C73C2211yescharacteristic
192#480×C73C2211yescharacteristic
193#474×C73C2211yescharacteristic
194#468×C73C2211yescharacteristic
195#467×C73C2211yescharacteristic
196#464×C73C2211yescharacteristic
197#452×C73C2211yescharacteristic
198#450×C73C2211yescharacteristic
199#440×C73C2211yescharacteristic
200#435×C73C2211yescharacteristic
201#417×C73C2211yescharacteristic
202C2×#102×C73C2211yescharacteristic
203C2×#11924027—21no—
204C2×#11924027C2311yescharacteristic
205C22×Dic146—21no—
206C23×Dic73—21no—
207C2×Dic292C2311yescharacteristic
208C2×#11924018C2311yescharacteristic
209C2×#11924018C2311yescharacteristic
210C2×#11924016C2311yescharacteristic
211C2×#11924016C2311yescharacteristic
212C2×#11924011C2311yescharacteristic
213C22×#10596831C2311yescharacteristic
214C22×#10596831C2311yescharacteristic
215C2×C8×D73C2311yescharacteristic
216#14556591C2311yescharacteristic
217#14556590—21no—
218#14556590—21no—
219#14556590C2311yescharacteristic
220#14556590C2311yescharacteristic
221#14556590C2311yescharacteristic
222#14556590C2311yescharacteristic
223#14556589—21no—
224#14556589—21no—
225#14556589C2311yescharacteristic
226#14556589C2311yescharacteristic
227#14556586—21no—
228#14556586—21no—
229#14556586—21no—
230#14556586D411yescharacteristic
231#14556585—21no—
232#14556584—21no—
233#14556584—21no—
234#14556584—21no—
235#14556584—21no—
236#14556584—21no—
237#14556584—21no—
238#14556584—21no—
239#14556584—21no—
240#14556584D411yescharacteristic
241#14556583—21no—
242#14556583—21no—
243#14556583C2311yescharacteristic
244#14556582—21no—
245#14556582—21no—
246#14556582—21no—
247#14556582—21no—
248#14556582—21no—
249#14556582—21no—
250#14556582—21no—
251#14556582C2311yescharacteristic
252#14556582C2311yescharacteristic
253#14556582C2311yescharacteristic
254#14556582C2311yescharacteristic
255#14556582C2311yescharacteristic
256#14556581—21no—
257#14556581—21no—
258#14556581—21no—
259#14556581—21no—
260#14556581—21no—
261#14556581—21no—
262#14556581—21no—
263#14556581—21no—
264#14556581—21no—
265#14556581—21no—
266#14556581—21no—
267#14556581—21no—
268#14556581D411yescharacteristic
269#14556578—21no—
270#14556578C2311yescharacteristic
271#14556577—21no—
272#14556577D411yescharacteristic
273#14556575—21no—
274#14556575—21no—
275#14556575D411yescharacteristic
276#14556574—21no—
277#14556574—21no—
278#14556573—21no—
279#14556573—21no—
280#14556572—21no—
281#14556572—21no—
282#14556572—21no—
283#14556572—21no—
284#14556572—21no—
285#14556572D411yescharacteristic
286#14556571—21no—
287#14556571C2311yescharacteristic
288#14556570—21no—
289#14556570—21no—
290#14556570—21no—
291#14556570—21no—
292#14556570C2311yescharacteristic
293#14556570C2311yescharacteristic
294#14556570C2311yescharacteristic
295#14556570C2311yescharacteristic
296#14556569—21no—
297#14556569—21no—
298#14556568—21no—
299#14556568—21no—
300#14556568—21no—
301#14556568—21no—
302#14556568—21no—
303#14556568—21no—
304#14556568—21no—
305#14556568—21no—
306#14556568—21no—
307#14556568—21no—
308#14556568—21no—
309#14556568D411yescharacteristic
310#14556567—21no—
311#14556567C2311yescharacteristic
312#14556567C2311yescharacteristic
313#14556563—21no—
314#14556563—21no—
315#14556563D411yescharacteristic
316#14556562C2311yescharacteristic
317#14556560—21no—
318Q8×Dic73—21no—
319Q8×Dic73C2311yescharacteristic
320Q8×Dic73C2311yescharacteristic
321Q8×Dic73C2311yescharacteristic
322Q8×Dic73C2311yescharacteristic
323C4×Dic146—21no—
324C4×Dic146C2311yescharacteristic
325C4×Dic146C2311yescharacteristic
326C4×Dic146C2311yescharacteristic
327#14556556—21no—
328#14556556—21no—
329#14556556C2311yescharacteristic
330#14556556C2311yescharacteristic
331#14556556C2311yescharacteristic
332D4×Dic73—21no—
333D4×Dic73—21no—
334D4×Dic73—21no—
335D4×Dic73—21no—
336D4×Dic73—21no—
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73C2311yescharacteristic
345C4×C22⋊D73C2311yescharacteristic
346#14556551—21no—
347#14556551—21no—
348#14556550—21no—
349#14556550—21no—
350#14556550C2311yescharacteristic
351#14556550C2311yescharacteristic
352#14556549—21no—
353#14556549C2311yescharacteristic
354#14556548C2311yescharacteristic
355#14556547—21no—
356#14556547—21no—
357#14556547—21no—
358#14556547—21no—
359#14556547—21no—
360#14556547—21no—
361C2×C4⋊Dic73—21no—
362C2×C4⋊Dic73—21no—
363C2×C4⋊Dic73C2311yescharacteristic
364C2×C4⋊Dic73C2311yescharacteristic
365C2×C4⋊Dic73C2311yescharacteristic
366C2×#11924007—21no—
367C2×#11924007—21no—
368C2×#11924007—21no—
369C4⋊C4×D73C2311yescharacteristic
370C4⋊C4×D73C2311yescharacteristic
371C2×C22⋊Dic73—21no—
372C2×C22⋊Dic73—21no—
373C2×C4×Dic73C2311yescharacteristic
374#14556525C2311yescharacteristic
375#14556525C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556524C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C4×#10596831C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C2×#41×C73C2311yescharacteristic
436C22×D4×C73C2311yescharacteristic
437C2×Q16×C73C2311yescharacteristic
438C2×SD16×C73C2311yescharacteristic
439C2×SD16×C73C2311yescharacteristic
440C2×M16×C73C2311yescharacteristic
441C22×C8×C73C2311yescharacteristic
442C4⋊Q8×C73C2311yescharacteristic
443#125×C73—21no—
444#124×C73C2311yescharacteristic
445#123×C73—21no—
446C22⋊Q8×C73—21no—
447C22⋊Q8×C73—21no—
448C22⋊Q8×C73C2311yescharacteristic
449C22⋊Q8×C73C2311yescharacteristic
450C22⋊Q8×C73C2311yescharacteristic
451#121×C73—21no—
452#121×C73C2311yescharacteristic
453#120×C73—21no—
454C4×Q8×C73C2311yescharacteristic
455C4×D4×C73—21no—
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C2×C4⋊C4×C73C2311yescharacteristic
459C2×C4⋊C4×C73C2311yescharacteristic
460C2×C22⋊C4×C73—21no—
461#107×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465#103×C73C2311yescharacteristic
466#103×C73C2311yescharacteristic
467#103×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476C22⋊C8×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478#11924027—22no—
479#11924027—41no—
480#11924027—82no—
481C2×Dic146—21no—
482C2×Dic146—21no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—82no—
487C2×Dic146C2×D411yescharacteristic
488C2×Dic146C2411yescharacteristic
489C2×Dic146C2411yescharacteristic
490C2×C22⋊D73—21no—
491C2×C22⋊D73—21no—
492C2×C22⋊D73C2×D411yescharacteristic
493C2×C22⋊D73C2×D411yescharacteristic
494C22×Dic73—21no—
495C22×Dic73—21no—
496C22×Dic73—21no—
497C22×Dic73—21no—
498C22×Dic73—21no—
499C22×Dic73—21no—
500C22×Dic73—21no—
501C22×Dic73—21no—
502C22×Dic73—21no—
503C22×Dic73—82no—
504C22×Dic73C2×D411yescharacteristic
505C22×Dic73C2×D411yescharacteristic
506C2×C4×D73—21no—
507C2×C4×D73—21no—
508C2×C4×D73C2411yescharacteristic
509Dic292—41no—
510#11924018—41no—
511#11924018—41no—
512#11924016—22no—
513#11924016—41no—
514#11924011—41no—
515C2×#10596831—41no—
516C2×#10596831—41no—
517C2×#10596831C2411yescharacteristic
518C2×#10596831C2411yescharacteristic
519C2×#10596831C2411yescharacteristic
520C2×#10596831C2411yescharacteristic
521C8×D73—41no—
522C4⋊Dic73—21no—
523C4⋊Dic73—21no—
524C4⋊Dic73—21no—
525C4⋊Dic73—21no—
526C4⋊Dic73—21no—
527C4⋊Dic73—21no—
528C4⋊Dic73—21no—
529C4⋊Dic73—21no—
530C4⋊Dic73—21no—
531C4⋊Dic73—21no—
532C4⋊Dic73—21no—
533C4⋊Dic73—21no—
534C4⋊Dic73—21no—
535C4⋊Dic73—21no—
536C4⋊Dic73C2×D411yescharacteristic
537C4⋊Dic73C2×D411yescharacteristic
538C4⋊Dic73C2×D411yescharacteristic
539C4⋊Dic73C2411yescharacteristic
540C4⋊Dic73C2411yescharacteristic
541C4⋊Dic73C2411yescharacteristic
542C4⋊Dic73C2411yescharacteristic
543C4⋊Dic73C2411yescharacteristic
544C4⋊Dic73C2411yescharacteristic
545#11924007—21no—
546#11924007—21no—
547#11924007—21no—
548#11924007—21no—
549#11924007—21no—
550#11924007—21no—
551#11924007—21no—
552#11924007—21no—
553#11924007—21no—
554#11924007—21no—
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#11924007C2×D411yescharacteristic
574#11924007C2×D411yescharacteristic
575#11924007C2×D411yescharacteristic
576#11924007C2×D411yescharacteristic
577#11924007C2×D411yescharacteristic
578#11924007C2×D411yescharacteristic
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—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73C2×D411yescharacteristic
593C22⋊Dic73C2×D411yescharacteristic
594C22⋊Dic73C2×D411yescharacteristic
595C22⋊Dic73C2×D411yescharacteristic
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005C2×D411yescharacteristic
601#11924005C2×D411yescharacteristic
602#11924005C2×D411yescharacteristic
603#11924005C2×D411yescharacteristic
604C4×Dic73—21no—
605C4×Dic73—21no—
606C4×Dic73—21no—
607C4×Dic73—21no—
608C4×Dic73—21no—
609C4×Dic73—21no—
610C4×Dic73—21no—
611C4×Dic73—21no—
612C4×Dic73—21no—
613C4×Dic73—21no—
614C4×Dic73—21no—
615C4×Dic73C2×D411yescharacteristic
616C4×Dic73C2×D411yescharacteristic
617C4×Dic73C2411yescharacteristic
618C4×Dic73C2411yescharacteristic
619C4×Dic73C2411yescharacteristic
620C24×C73—21no—
621#41×C73—22no—
622#41×C73—41no—
623C2×Q8×C73—21no—
624C2×Q8×C73C2411yescharacteristic
625C2×Q8×C73C2411yescharacteristic
626C2×D4×C73—22no—
627C2×D4×C73—21no—
628C2×D4×C73—21no—
629C2×D4×C73—21no—
630C2×D4×C73—41no—
631C2×D4×C73C2×D411yescharacteristic
632C2×D4×C73C2411yescharacteristic
633C2×D4×C73C2411yescharacteristic
634C22×C4×C73—21no—
635C22×C4×C73—21no—
636C22×C4×C73—21no—
637C22×C4×C73—21no—
638C22×C4×C73C2411yescharacteristic
639C22×C4×C73C2411yescharacteristic
640Q16×C73—41no—
641SD16×C73—22no—
642SD16×C73—41no—
643M16×C73—41no—
644C2×C8×C73—41no—
645C2×C8×C73C2411yescharacteristic
646C2×C8×C73C2411yescharacteristic
647C2×C8×C73C2411yescharacteristic
648C2×C8×C73C2411yescharacteristic
649C4⋊C4×C73—21no—
650C4⋊C4×C73—21no—
651C4⋊C4×C73—21no—
652C4⋊C4×C73—21no—
653C4⋊C4×C73—21no—
654C4⋊C4×C73—21no—
655C4⋊C4×C73—21no—
656C4⋊C4×C73C2×D411yescharacteristic
657C4⋊C4×C73C2411yescharacteristic
658C4⋊C4×C73C2411yescharacteristic
659C4⋊C4×C73C2411yescharacteristic
660C4⋊C4×C73C2411yescharacteristic
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—
668C22⋊C4×C73C2×D411yescharacteristic
669C22⋊C4×C73C2×D411yescharacteristic
670C42×C73—21no—
671C42×C73C2411yescharacteristic
672C23×C73—21no—
673C23×C73—21no—
674C23×C73—42no—
675C23×C73—42no—
676C23×C73—81no—
677C23×C73C22×D411yescharacteristic
678C23×C73C22×D411yescharacteristic
679C22×D73C22×D411yescharacteristic
680Q8×C73—21no—
681Q8×C73—21no—
682Q8×C73—21no—
683Q8×C73—21no—
684Q8×C73—81no—
685D4×C73—22no—
686D4×C73—21no—
687D4×C73—21no—
688D4×C73—21no—
689D4×C73—42no—
690D4×C73—42no—
691D4×C73—81no—
692D4×C732−1+412yes—
693C2×C4×C73—21no—
694C2×C4×C73—21no—
695C2×C4×C73—21no—
696C2×C4×C73—21no—
697C2×C4×C73—21no—
698C2×C4×C73—21no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—42no—
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×C73C2511yescharacteristic
712C22⋊D73—22no—
713C22⋊D73—41no—
714C22⋊D73—42no—
715C22⋊D73—81no—
716C2×Dic73—22no—
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—41no—
726C2×Dic73—42no—
727C2×Dic73—42no—
728C2×Dic73—42no—
729C2×Dic73—42no—
730C2×Dic73—81no—
731C2×Dic73—81no—
732C2×Dic73—81no—
733C2×Dic73—81no—
734C2×Dic73—81no—
735C2×Dic73C22×D411yescharacteristic
736C2×Dic73C22×D411yescharacteristic
737C2×Dic73C22×D411yescharacteristic
738C2×Dic73C22×D411yescharacteristic
739C2×Dic73C22×D411yescharacteristic
740C2×Dic73C22×D411yescharacteristic
741C2×Dic73C22×D411yescharacteristic
742C4×D73—21no—
743C4×D73—21no—
744C4×D73—81no—
745C4×D73—81no—
746Dic146—21no—
747Dic146—21no—
748Dic146—21no—
749Dic146—21no—
750Dic146—41no—
751Dic146—42no—
752Dic146—81no—
753Dic146—81no—
754Dic146—81no—
755Dic146—81no—
756C8×C73—21no—
757C8×C73—21no—
758C8×C73—21no—
759C8×C73—21no—
760#10596831—21no—
761#10596831—21no—
762#10596831—21no—
763#10596831—21no—
764C22×C73—21no—
765C22×C73—21no—
766C22×C73—21no—
767C22×C73—22no—
768C22×C73—21no—
769C22×C73—21no—
770C22×C73—41no—
771C22×C73—41no—
772C22×C73—41no—
773C22×C73—41no—
774C22×C73—41no—
775C22×C73—84no—
776C22×C73#57812yes—
777C22×C73C23×D411yescharacteristic
778C2×D73—21no—
779C2×D73—21no—
780C2×D73—21no—
781C4×C73—21no—
782C4×C73—21no—
783C4×C73—21no—
784C4×C73—21no—
785C4×C73—41no—
786C4×C73—41no—
787C4×C73—41no—
788C4×C73—41no—
789C4×C73—41no—
790C4×C73—41no—
791C4×C73C2×2−1+411yescharacteristic
792C4×C73#58511yescharacteristic
793Dic73—21no—
794Dic73—21no—
795Dic73—21no—
796Dic73—21no—
797Dic73—21no—
798Dic73—21no—
799Dic73—21no—
800Dic73—41no—
801Dic73—41no—
802Dic73—41no—
803Dic73—41no—
804Dic73—41no—
805Dic73—41no—
806Dic73—41no—
807Dic73—41no—
808#62165—731nomaximal, Sylow
809C2×C73—22no—
810C2×C73—41no—
811C2×C73—42no—
812C2×C73—81no—
813C2×C73#348911yescharacteristic
814C2×C73C2×#57811yescharacteristic
815C2×C73#358511yescharacteristic
816D73—41no—
817#3563—731no—
818#3520—731no—
819#3386—731no—
820#3386—731no—
821#3377—731no—
822#3377—731no—
823#3344—731no—
824#3344—731no—
825#3343—731no—
826#3343—731no—
827#3338—731no—
828#3338—731no—
829#3315—731no—
830#3315—731no—
831#3314—731no—
832#3314D7311yescharacteristic, complemented
833#3296—731no—
834#3296—731no—
835#3258—731no—
836#3258—731no—
837#3249—731no—
838#3243—731no—
839#3243—731no—
840#3236—731no—
841#3120—731no—
842#3120—731no—
843#3110—731no—
844#3083—731no—
845#3083—731no—
846C2×#478—731no—
847#2992—731no—
848C73#6216511yescharacteristic, complemented, Sylow
849#564—1461no—
850#563—1461no—
851#557—731no—
852#557—731no—
853#556—731no—
854#554—731no—
855#554—731no—
856#554—731no—
857#554C2×D7311yescharacteristic
858#552—731no—
859#552—731no—
860#552—731no—
861#552—731no—
862#552—1461no—
863#552—1461no—
864#552—1461no—
865#551—1461no—
866#551—1461no—
867D4×Q8—731no—
868#548—1461no—
869#547—731no—
870#547—731no—
871#546—731no—
872#546C2×D7311yescharacteristic
873#544—731no—
874#544—731no—
875#544—1461no—
876#542—731no—
877#542—731no—
878#541—731no—
879#541—731no—
880#541—1461no—
881#541—1461no—
882#539—1461no—
883#539—1461no—
884#539—1461no—
885#533—731no—
886#533—731no—
887#529—731no—
888C2×#125—731no—
889#525—1461no—
890C2×C22⋊Q8—1461no—
891#520—731no—
892#520—731no—
893C2×C4×D4—731no—
894#501—731no—
895#501—731no—
896#501—731no—
897#501—731no—
898#500—731no—
899#500—731no—
900#491—731no—
901#491—731no—
902#489—731no—
903#489C2×D7311yescharacteristic
904#488—731no—
905#488—731no—
906#485—731no—
907#485—731no—
908#484—731no—
909#484—731no—
910#484—731no—
911#484—731no—
912#484—731no—
913#484—731no—
914#484—731no—
915#484C2×D7311yescharacteristic
916#483—731no—
917#483—731no—
918#483—731no—
919#483—731no—
920#482—731no—
921#482—731no—
922#480—731no—
923#480C2×D7311yescharacteristic
924#479—731no—
925#479—731no—
926#479—731no—
927#479—731no—
928#479—731no—
929#479—731no—
930#478—731no—
931#478—731no—
932#478—731no—
933#478—731no—
934#478—731no—
935#478—731no—
936#478—731no—
937#478—731no—
938#478—731no—
939#478—731no—
940#477—731no—
941#477—731no—
942#477—731no—
943#477—731no—
944#477—731no—
945#477—731no—
946#477—731no—
947#477—731no—
948#475—731no—
949#475—731no—
950#474—731no—
951#474—731no—
952#474—731no—
953#474C2×D7311yescharacteristic
954#470—731no—
955#470—731no—
956#468—731no—
957#468C2×D7311yescharacteristic
958#467—731no—
959#467—731no—
960#467—731no—
961#467—731no—
962#467—731no—
963#467C2×D7311yescharacteristic
964#465—731no—
965#465—731no—
966#464—731no—
967#464—731no—
968#464—731no—
969#464C2×D7311yescharacteristic
970#462—731no—
971#462—731no—
972#462—731no—
973#462—731no—
974#461—731no—
975#461—731no—
976#452—731no—
977#452—731no—
978#452—731no—
979#452C2×D7311yescharacteristic
980#450—731no—
981#450C2×D7311yescharacteristic
982#446—731no—
983#446—731no—
984#441—731no—
985#441—731no—
986#440—731no—
987#440—731no—
988#440—731no—
989#440—731no—
990#440—731no—
991#440C2×D7311yescharacteristic
992C4×Q16—731no—
993C4×Q16—731no—
994C4×SD16—731no—
995C4×SD16—731no—
996#435—731no—
997#435—731no—
998#435—731no—
999#435C2×D7311yescharacteristic
1000C8×D4—731no—
1001C8×D4—731no—
1002#433—731no—
1003#433—731no—
1004#432—731no—
1005#428—731no—
1006#428—731no—
1007C2×#107—731no—
1008C2×#107—731no—
1009C2×#107—731no—
1010C2×#106—731no—
1011#424—731no—
1012#424—731no—
1013C2×C4⋊C8—731no—
1014#417—731no—
1015#417C2×D7311yescharacteristic
1016#416—731no—
1017#416—731no—
1018C2×#102—731no—
1019C2×#102C2×D7311yescharacteristic
1020C2×#41—731no—
1021C2×#41—1461no—
1022C2×#41C22×D7311yescharacteristic
1023C22×Q8—1461no—
1024C22×D4C22×D7311yescharacteristic
1025C23×C4—1461no—
1026C2×Q16—731no—
1027C2×Q16—731no—
1028C2×Q16—731no—
1029C2×Q16C22×D7311yescharacteristic
1030C2×SD16—731no—
1031C2×SD16—731no—
1032C2×SD16C22×D7311yescharacteristic
1033C2×SD16C22×D7311yescharacteristic
1034C2×M16—731no—
1035C2×M16C22×D7311yescharacteristic
1036C22×C8—731no—
1037C22×C8—731no—
1038C22×C8—731no—
1039C22×C8C22×D7311yescharacteristic
1040C4⋊Q8—731no—
1041C4⋊Q8—731no—
1042C4⋊Q8—731no—
1043C4⋊Q8—731no—
1044C4⋊Q8—731no—
1045C4⋊Q8—731no—
1046C4⋊Q8—731no—
1047C4⋊Q8—1461no—
1048C4⋊Q8—1461no—
1049C4⋊Q8—1461no—
1050C4⋊Q8—1461no—
1051C4⋊Q8C22×D7311yescharacteristic
1052#126—731no—
1053#126—731no—
1054#126—1461no—
1055#126—1461no—
1056#126—1461no—
1057#126—1461no—
1058#126—1461no—
1059#126—1461no—
1060#126—1461no—
1061#126—1461no—
1062#126—1461no—
1063#126—1461no—
1064#126—1461no—
1065#126—1461no—
1066#125—21no—
1067#125—731no—
1068#125—731no—
1069#125—731no—
1070#125—731no—
1071#125—731no—
1072#125—731no—
1073#125—731no—
1074#125—1461no—
1075#125—1461no—
1076#125—1461no—
1077#125—1461no—
1078#125—1461no—
1079#125—1461no—
1080#125—1461no—
1081#125—1461no—
1082#125—1461no—
1083#125—1461no—
1084#125—1461no—
1085#125—1461no—
1086#125—1461no—
1087#125—1461no—
1088#125—1461no—
1089#125—1461no—
1090#125—1461no—
1091#125—1461no—
1092#125—1461no—
1093#125—1461no—
1094#125—1461no—
1095#124—731no—
1096#124—731no—
1097#124—1461no—
1098#124—1461no—
1099#124C22×D7311yescharacteristic
1100#123—21no—
1101#123—731no—
1102#123—731no—
1103#123—1461no—
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—
1114C22⋊Q8—21no—
1115C22⋊Q8—21no—
1116C22⋊Q8—731no—
1117C22⋊Q8—731no—
1118C22⋊Q8—731no—
1119C22⋊Q8—731no—
1120C22⋊Q8—731no—
1121C22⋊Q8—731no—
1122C22⋊Q8—731no—
1123C22⋊Q8—731no—
1124C22⋊Q8—1461no—
1125C22⋊Q8—1461no—
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⋊Q8C22×D7311yescharacteristic
1144C22⋊Q8C22×D7311yescharacteristic
1145C22⋊Q8C22×D7311yescharacteristic
1146#121—21no—
1147#121—731no—
1148#121—731no—
1149#121—1461no—
1150#121—1461no—
1151#121C22×D7311yescharacteristic
1152#120—21no—
1153#120—1461no—
1154C4×Q8—731no—
1155C4×Q8—731no—
1156C4×Q8—731no—
1157C4×Q8—731no—
1158C4×Q8—731no—
1159C4×Q8—731no—
1160C4×Q8—731no—
1161C4×Q8—731no—
1162C4×Q8—731no—
1163C4×Q8—731no—
1164C4×Q8—1461no—
1165C4×Q8—1461no—
1166C4×Q8—1461no—
1167C4×Q8—1461no—
1168C4×Q8C22×D7311yescharacteristic
1169C4×D4—21no—
1170C4×D4—731no—
1171C4×D4—731no—
1172C4×D4—731no—
1173C4×D4—731no—
1174C4×D4—731no—
1175C4×D4—731no—
1176C4×D4—731no—
1177C4×D4—1461no—
1178C4×D4—1461no—
1179C4×D4—1461no—
1180C4×D4—1461no—
1181C4×D4—1461no—
1182C4×D4—1461no—
1183C4×D4—1461no—
1184C4×D4—1461no—
1185C4×D4—1461no—
1186C4×D4C22×D7311yescharacteristic
1187C4×D4C22×D7311yescharacteristic
1188#117—731no—
1189#117—731no—
1190#117—731no—
1191#117—731no—
1192#117—1461no—
1193#117—1461no—
1194#117—1461no—
1195#117—1461no—
1196#117—1461no—
1197#117—1461no—
1198#117—1461no—
1199#117—1461no—
1200#117—1461no—
1201C2×C4⋊C4—731no—
1202C2×C4⋊C4—731no—
1203C2×C4⋊C4—731no—
1204C2×C4⋊C4—731no—
1205C2×C4⋊C4—731no—
1206C2×C4⋊C4—1461no—
1207C2×C4⋊C4—1461no—
1208C2×C4⋊C4—1461no—
1209C2×C4⋊C4—1461no—
1210C2×C4⋊C4—1461no—
1211C2×C4⋊C4C22×D7311yescharacteristic
1212C2×C4⋊C4C22×D7311yescharacteristic
1213C2×C22⋊C4—21no—
1214C2×C22⋊C4—1461no—
1215C2×C22⋊C4—1461no—
1216C2×C42—731no—
1217#107—731no—
1218#107—731no—
1219#107—731no—
1220#107—731no—
1221#107—731no—
1222#107—731no—
1223#107—731no—
1224#107—731no—
1225#107—731no—
1226#107—731no—
1227#107—731no—
1228#107—731no—
1229#107—731no—
1230#107C22×D7311yescharacteristic
1231#107C22×D7311yescharacteristic
1232#107C22×D7311yescharacteristic
1233#106—731no—
1234#106—731no—
1235#106—731no—
1236#106—731no—
1237#106—731no—
1238#106—731no—
1239#106—731no—
1240#106—731no—
1241C4⋊C8—731no—
1242C4⋊C8—731no—
1243C4⋊C8—731no—
1244C4⋊C8—731no—
1245C4⋊C8—731no—
1246C4⋊C8—731no—
1247C4⋊C8—731no—
1248C4⋊C8—731no—
1249C4⋊C8—731no—
1250C4⋊C8C22×D7311yescharacteristic
1251#103—731no—
1252#103—731no—
1253#103—731no—
1254#103—731no—
1255#103—731no—
1256#103—731no—
1257#103—731no—
1258#103—731no—
1259#103—731no—
1260#103—731no—
1261#103—731no—
1262#103—731no—
1263#103—731no—
1264#103—731no—
1265#103—731no—
1266#103—731no—
1267#103C22×D7311yescharacteristic
1268#103C22×D7311yescharacteristic
1269#103C22×D7311yescharacteristic
1270#103C22×D7311yescharacteristic
1271#102—731no—
1272#102—731no—
1273#102—731no—
1274#102—731no—
1275#102—731no—
1276#102—731no—
1277#102C22×D7311yescharacteristic
1278#102C22×D7311yescharacteristic
1279#102C22×D7311yescharacteristic
1280#102C22×D7311yescharacteristic
1281#102C22×D7311yescharacteristic
1282#102C22×D7311yescharacteristic
1283C22⋊C8—731no—
1284C22⋊C8—731no—
1285C22⋊C8—731no—
1286C22⋊C8—731no—
1287C22⋊C8C22×D7311yescharacteristic
1288C22⋊C8C22×D7311yescharacteristic
1289#97—731no—
1290#97—731no—
1291#97—731no—
1292#97C22×D7311yescharacteristic
1293C4×C8—731no—
1294C4×C8—731no—
1295C24—21no—
1296#41—22no—
1297#41—41no—
1298#41—2921no—
1299#41—5842no—
1300#41—1462no—
1301C2×Q8—21no—
1302C2×Q8—5842no—
1303C2×Q8—731no—
1304C2×Q8—731no—
1305C2×Q8—731no—
1306C2×Q8—1461no—
1307C2×Q8—1461no—
1308C2×Q8—1461no—
1309C2×Q8—1461no—
1310C2×Q8—1461no—
1311C2×Q8C23×D7311yescharacteristic
1312C2×Q8C23×D7311yescharacteristic
1313C2×D4—22no—
1314C2×D4—21no—
1315C2×D4—21no—
1316C2×D4—21no—
1317C2×D4—41no—
1318C2×D4—731no—
1319C2×D4—731no—
1320C2×D4—1461no—
1321C2×D4—1461no—
1322C2×D4D4×D7311yescharacteristic
1323C2×D4C23×D7311yescharacteristic
1324C2×D4C23×D7311yescharacteristic
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—21no—
1328C22×C4—21no—
1329C22×C4—5842no—
1330C22×C4—731no—
1331C22×C4—731no—
1332C22×C4—731no—
1333C22×C4—1461no—
1334C22×C4—1461no—
1335C22×C4—1461no—
1336C22×C4—1461no—
1337C22×C4—1461no—
1338C22×C4—1461no—
1339C22×C4—1461no—
1340C22×C4—1461no—
1341C22×C4—1461no—
1342C22×C4—1461no—
1343C22×C4—1461no—
1344C22×C4C23×D7311yescharacteristic
1345C22×C4C23×D7311yescharacteristic
1346Q16—41no—
1347Q16—2921no—
1348Q16—2921no—
1349Q16—2921no—
1350SD16—22no—
1351SD16—41no—
1352SD16—2921no—
1353SD16—1462no—
1354M16—41no—
1355M16—2921no—
1356C2×C8—41no—
1357C2×C8—2921no—
1358C2×C8—2921no—
1359C2×C8—2921no—
1360C2×C8—731no—
1361C2×C8—731no—
1362C2×C8—731no—
1363C2×C8—731no—
1364C2×C8C23×D7311yescharacteristic
1365C2×C8C23×D7311yescharacteristic
1366C2×C8C23×D7311yescharacteristic
1367C2×C8C23×D7311yescharacteristic
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—731no—
1376C4⋊C4—731no—
1377C4⋊C4—731no—
1378C4⋊C4—731no—
1379C4⋊C4—731no—
1380C4⋊C4—731no—
1381C4⋊C4—731no—
1382C4⋊C4—731no—
1383C4⋊C4—731no—
1384C4⋊C4—731no—
1385C4⋊C4—731no—
1386C4⋊C4—731no—
1387C4⋊C4—731no—
1388C4⋊C4—731no—
1389C4⋊C4—731no—
1390C4⋊C4—1461no—
1391C4⋊C4—1461no—
1392C4⋊C4—1461no—
1393C4⋊C4—1461no—
1394C4⋊C4—1461no—
1395C4⋊C4—1461no—
1396C4⋊C4—1461no—
1397C4⋊C4—1461no—
1398C4⋊C4—1461no—
1399C4⋊C4—1461no—
1400C4⋊C4—1461no—
1401C4⋊C4—1461no—
1402C4⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1433C4⋊C4C23×D7311yescharacteristic
1434C4⋊C4C23×D7311yescharacteristic
1435C4⋊C4C23×D7311yescharacteristic
1436C4⋊C4C23×D7311yescharacteristic
1437C22⋊C4—21no—
1438C22⋊C4—21no—
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—731no—
1445C22⋊C4—731no—
1446C22⋊C4—731no—
1447C22⋊C4—731no—
1448C22⋊C4—731no—
1449C22⋊C4—731no—
1450C22⋊C4—731no—
1451C22⋊C4—731no—
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⋊C4D4×D7311yescharacteristic
1470C22⋊C4D4×D7311yescharacteristic
1471C42—21no—
1472C42—731no—
1473C42—731no—
1474C42—731no—
1475C42—731no—
1476C42—731no—
1477C42—1461no—
1478C42—1461no—
1479C42—1461no—
1480C42—1461no—
1481C42—1461no—
1482C42—1461no—
1483C42—1461no—
1484C42—1461no—
1485C42—1461no—
1486C42—1461no—
1487C42—1461no—
1488C42C23×D7311yescharacteristic
1489C23—21no—
1490C23—21no—
1491C23—42no—
1492C23—42no—
1493C23—81no—
1494C23—731no—
1495C23C2×D4×D7311yescharacteristic
1496C23C2×D4×D7311yescharacteristic
1497Q8—21no—
1498Q8—21no—
1499Q8—21no—
1500Q8—21no—
1501Q8—81no—
1502Q8—2921no—
1503Q8—2922no—
1504Q8—5841no—
1505Q8—5841no—
1506Q8—5841no—
1507Q8—5841no—
1508Q8—1461no—
1509Q8—1461no—
1510Q8—1461no—
1511Q8—1461no—
1512D4—22no—
1513D4—21no—
1514D4—21no—
1515D4—21no—
1516D4—42no—
1517D4—42no—
1518D4—81no—
1519D4—2922no—
1520D4—2921no—
1521D4—5841no—
1522D4—1462no—
1523D4#1455663812yes—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—42no—
1535C2×C4—81no—
1536C2×C4—81no—
1537C2×C4—81no—
1538C2×C4—2922no—
1539C2×C4—2922no—
1540C2×C4—2922no—
1541C2×C4—2922no—
1542C2×C4—2921no—
1543C2×C4—5841no—
1544C2×C4—5841no—
1545C2×C4—5841no—
1546C2×C4—5841no—
1547C2×C4—5841no—
1548C2×C4—5841no—
1549C2×C4—5841no—
1550C2×C4—731no—
1551C2×C4—731no—
1552C2×C4—731no—
1553C2×C4—731no—
1554C2×C4—731no—
1555C2×C4—731no—
1556C2×C4—731no—
1557C2×C4—1461no—
1558C2×C4—1461no—
1559C2×C4—1461no—
1560C2×C4—1461no—
1561C2×C4—1461no—
1562C2×C4—1461no—
1563C2×C4—1461no—
1564C2×C4—1461no—
1565C2×C4—1462no—
1566C2×C4—1461no—
1567C2×C4—1461no—
1568C2×C4C2×D4×D7311yescharacteristic
1569C2×C4C2×D4×D7311yescharacteristic
1570C2×C4C2×D4×D7311yescharacteristic
1571C2×C4C2×D4×D7311yescharacteristic
1572C2×C4C24×D7311yescharacteristic
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—21no—
1577C8—1461no—
1578C8—1461no—
1579C8—1461no—
1580C8—1461no—
1581C22—21no—
1582C22—21no—
1583C22—21no—
1584C22—22no—
1585C22—21no—
1586C22—21no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—84no—
1593C22—1461no—
1594C22—1461no—
1595C22—1461no—
1596C22#1798940312yes—
1597C22C22×D4×D7311yescharacteristic
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—21no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—2921no—
1609C4—2921no—
1610C4—2921no—
1611C4—2921no—
1612C4—2921no—
1613C4—2921no—
1614C4—2921no—
1615C4—2921no—
1616C4—1461no—
1617C4—1461no—
1618C4—1461no—
1619C4—1461no—
1620C4—1461no—
1621C4—1461no—
1622C4—1461no—
1623C4C2×#1455663811yescharacteristic
1624C4#1798942211yescharacteristic
1625C2—22no—
1626C2—41no—
1627C2—42no—
1628C2—81no—
1629C2—2921no—
1630C2#2262360211yescharacteristic
1631C2C2×#1798940311yescharacteristic
1632C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3314C2
socleC22×C73C23×D4
prime radical#22623967C2
hypercenter#3314D73
hypocenterC73#62165
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3314

Complements

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

NH ≅ G/Ntype
1. #22624535C2semidirect
3. #22622856C2semidirect
4. #22622853C2semidirect
5. #22622777C2semidirect
6. #22622772C2semidirect
7. #22622392C2semidirect
8. #22622388C2semidirect
9. #22622375C2semidirect
10. #22622366C2semidirect
11. #22622319C2semidirect
12. #22622318C2semidirect
13. #22622031C2semidirect
14. #22622028C2semidirect
15. #22622008C2semidirect
16. #22621770C2semidirect
17. #22621766C2semidirect
18. #22621358C2semidirect
19. #22621354C2semidirect
20. #22621272C2semidirect
21. #22621210C2semidirect
22. #22621209C2semidirect
23. #22621136C2semidirect
24. #22620149C2semidirect
25. #22620138C2semidirect
26. #22620025C2semidirect
27. #22619786C2semidirect
28. #22619777C2semidirect
29. C2×#17988889C2semidirect
30. #22619071C2semidirect
31. C73×#3314C2semidirect
34. #17989313C22semidirect
35. #17989312C22semidirect
45. #17989272C22semidirect
46. #17989271C22semidirect
54. #17989218C22semidirect
56. #17989214C22semidirect
60. #17989197C22semidirect
62. #17989195C22semidirect
75. #17988996C22semidirect
76. #17988995C22semidirect
77. #17988995C22semidirect
78. #17988995C22semidirect
79. #17988991C22semidirect
80. #17988990C22semidirect
81. #17988954C22semidirect
82. #17988954C22semidirect
86. #17988929C22semidirect
87. #17988926C22semidirect
88. #17988924C22semidirect
91. #17988922C22semidirect
92. #17988921C22semidirect
94. #17988920C22semidirect
96. #17988918C22semidirect
97. #17988916C22semidirect
102. #17988895C22semidirect
103. #17988893C22semidirect
104. #17988893C22semidirect
105. #17988892C22semidirect
106. #17988892C22semidirect
107. #17988892C22semidirect
118. #17988882C22semidirect
119. #17988881C22semidirect
120. #17988881C22semidirect
121. #17988881C22semidirect
122. #17988880C22semidirect
123. #17988880C22semidirect
124. #17988880C22semidirect
125. #17988879C22semidirect
126. #17988873C22semidirect
127. #17988870C22semidirect
131. #17988845C22semidirect
132. #17988842C22semidirect
135. #17988827C22semidirect
138. #17988826C22semidirect
144. #17988796C22semidirect
145. #17988796C22semidirect
146. #17988795C22semidirect
147. #17988795C22semidirect
154. #17988715C22semidirect
155. #17988714C22semidirect
156. #17988695C22semidirect
157. #17988694C22semidirect
163. C4×#11924018C22semidirect
164. #17988679C22semidirect
168. #17988656C22semidirect
169. #17988655C22semidirect
172. #17988649C22semidirect
173. #17988645C22semidirect
175. #17988629C22semidirect
176. #17988628C22semidirect
178. C2×#14556524C22semidirect
179. #107×D73C22semidirect
181. #17988615C22semidirect
182. #17988612C22semidirect
832. #3314D73semidirect
848. C73#62165semidirect

Maximal subgroups

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

subgroupindex
#226245352
#226239672
#226228562
#226228532
#226227772
#226227722
#226223922
#226223882
#226223752
#226223662
#226223192
#226223182
#226220312
#226220282
#226220082
#226217702
#226217662
#226213582
#226213542
#226212722
#226212102
#226212092
#226211362
#226201492
#226201382
#226200252
#226197862
#226197772
C2×#179888892
#226190712
C73×#33142
#6216573