Finite Group Databasebeta

← #33982802

Subgroups — #33982802

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#22624579C211yesmaximal, characteristic, complemented
2#22623883C211yesmaximal, characteristic, complemented
3#22622853C211yesmaximal, characteristic, complemented
4#22622833C211yesmaximal, characteristic, complemented
5#22622692C211yesmaximal, characteristic, complemented
6#22622679C211yesmaximal, characteristic, complemented
7#22622478C211yesmaximal, characteristic, complemented
8#22622461C211yesmaximal, characteristic, complemented
9#22622441C211yesmaximal, characteristic, complemented
10#22622434C211yesmaximal, characteristic, complemented
11#22622348C211yesmaximal, characteristic, complemented
12#22622339C211yesmaximal, characteristic, complemented
13#22622088C211yesmaximal, characteristic, complemented
14#22622072C211yesmaximal, characteristic, complemented
15#22621960C211yesmaximal, characteristic, complemented
16#22621777C211yesmaximal, characteristic, complemented
17#22621770C211yesmaximal, characteristic, complemented
18#22621395C211yesmaximal, characteristic, complemented
19#22621388C211yesmaximal, characteristic, complemented
20#22621255C211yesmaximal, characteristic, complemented
21#22621227C211yesmaximal, characteristic, complemented
22#22621210C211yesmaximal, characteristic, complemented
23#22621124C211yesmaximal, characteristic, complemented
24#22620116C211yesmaximal, characteristic, complemented
25#22620116C211yesmaximal, characteristic, complemented
26#22620044C211yesmaximal, characteristic, complemented
27#22619764C211yesmaximal, characteristic, complemented
28#22619758C211yesmaximal, characteristic, complemented
29#22619716C211yesmaximal, characteristic, complemented
30#22619066C211yesmaximal, characteristic, complemented
31C73×#3310C211yesmaximal, characteristic, complemented
32#17989341—21no—
33#17989334—21no—
34#17989323C2211yescharacteristic
35#17989313C2211yescharacteristic, complemented
36#17989308C2211yescharacteristic, complemented
37#17989307C2211yescharacteristic
38#17989304—21no—
39#17989301C2211yescharacteristic
40#17989301C2211yescharacteristic
41#17989300C2211yescharacteristic, complemented
42#17989293C2211yescharacteristic, complemented
43#17989285C2211yescharacteristic, complemented
44#17989283C2211yescharacteristic
45#17989279C2211yescharacteristic, complemented
46#17989276—21no—
47#17989268—21no—
48#17989268—21no—
49D4×Dic146C2211yescharacteristic
50#17989243—21no—
51#17989231—21no—
52#17989231C2211yescharacteristic
53#17989231C2211yescharacteristic
54#17989218C2211yescharacteristic, complemented
55#17989215C2211yescharacteristic, complemented
56#17989210C2211yescharacteristic, complemented
57#17989210C2211yescharacteristic, complemented
58#17989208—21no—
59#17989205—21no—
60#17989204C2211yescharacteristic
61#17989204C2211yescharacteristic
62#17989200—21no—
63#17989178—21no—
64#17989172—21no—
65#17989172—21no—
66#17989143C2211yescharacteristic, complemented
67#17989135C2211yescharacteristic
68#17989124C2211yescharacteristic, complemented
69#17989119C2211yescharacteristic
70#17989118—21no—
71C2×#14556578—21no—
72#17989062C2211yescharacteristic
73#17989062C2211yescharacteristic
74C4×#11924027C2211yescharacteristic
75#17988997C2211yescharacteristic, complemented
76#17988996C2211yescharacteristic, complemented
77#17988995C2211yescharacteristic, complemented
78#17988995C2211yescharacteristic, complemented
79#17988991C2211yescharacteristic, complemented
80#17988984C2211yescharacteristic, complemented
81#17988951C2211yescharacteristic
82#17988945C2211yescharacteristic, complemented
83#17988945C2211yescharacteristic, complemented
84#17988940C2211yescharacteristic, complemented
85#17988940C2211yescharacteristic, complemented
86#17988929C2211yescharacteristic, complemented
87#17988928C2211yescharacteristic, complemented
88#17988927C2211yescharacteristic, complemented
89#17988925C2211yescharacteristic, complemented
90#17988925C2211yescharacteristic, complemented
91#17988922C2211yescharacteristic, complemented
92#17988918C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic, complemented
94#17988912C2211yescharacteristic, complemented
95#17988912C2211yescharacteristic, complemented
96#17988910C2211yescharacteristic, complemented
97#17988910C2211yescharacteristic, complemented
98#17988909C2211yescharacteristic, complemented
99#17988909C2211yescharacteristic, complemented
100#17988908C2211yescharacteristic
101#17988903C2211yescharacteristic
102#17988895C2211yescharacteristic, complemented
103#17988893C2211yescharacteristic, complemented
104#17988891C2211yescharacteristic, complemented
105#17988889C2211yescharacteristic
106#17988889C2211yescharacteristic
107#17988889C2211yescharacteristic, complemented
108#17988889C2211yescharacteristic, complemented
109#17988887C2211yescharacteristic
110#17988885C2211yescharacteristic
111#17988885C2211yescharacteristic, complemented
112#17988885C2211yescharacteristic, complemented
113#17988882C2211yescharacteristic, complemented
114#17988881C2211yescharacteristic, complemented
115#17988880C2211yescharacteristic, complemented
116#17988878C2211yescharacteristic, complemented
117#17988876C2211yescharacteristic, complemented
118#17988875C2211yescharacteristic
119#17988875C2211yescharacteristic
120#17988875C2211yescharacteristic, complemented
121#17988875C2211yescharacteristic, complemented
122#17988875C2211yescharacteristic, complemented
123#17988871C2211yescharacteristic, complemented
124#17988870C2211yescharacteristic, complemented
125#17988866C2211yescharacteristic, complemented
126#17988865C2211yescharacteristic
127#17988865C2211yescharacteristic
128#17988865C2211yescharacteristic, complemented
129#17988865C2211yescharacteristic, complemented
130#17988865C2211yescharacteristic, complemented
131#17988843C2211yescharacteristic, complemented
132#17988838C2211yescharacteristic
133#17988833C2211yescharacteristic, complemented
134#17988826C2211yescharacteristic, complemented
135#17988822C2211yescharacteristic, complemented
136#17988822C2211yescharacteristic, complemented
137#17988821C2211yescharacteristic
138#17988816C2211yescharacteristic, complemented
139#17988813C2211yescharacteristic, complemented
140#17988813C2211yescharacteristic, complemented
141#17988812C2211yescharacteristic, complemented
142#17988807C2211yescharacteristic, complemented
143#17988807C2211yescharacteristic, complemented
144#17988804C2211yescharacteristic
145#17988804C2211yescharacteristic, complemented
146#17988804C2211yescharacteristic, complemented
147#17988801C2211yescharacteristic, complemented
148#17988801C2211yescharacteristic, complemented
149#17988779C2211yescharacteristic
150#17988746C2211yescharacteristic
151#17988733C2211yescharacteristic
152#17988721C2211yescharacteristic
153#17988721C2211yescharacteristic
154#17988716C2211yescharacteristic, complemented
155#17988715C2211yescharacteristic, complemented
156#17988697C2211yescharacteristic
157#17988696C2211yescharacteristic
158#17988696C2211yescharacteristic, complemented
159#17988692C2211yescharacteristic, complemented
160#17988689C2211yescharacteristic, complemented
161#17988688C2211yescharacteristic
162#17988688C2211yescharacteristic, complemented
163SD16×Dic73C2211yescharacteristic
164SD16×Dic73C2211yescharacteristic, complemented
165#17988667C2211yescharacteristic
166#17988667C2211yescharacteristic, complemented
167#17988661C2211yescharacteristic, complemented
168#17988659C2211yescharacteristic
169#17988656C2211yescharacteristic, complemented
170C8×C22⋊D73C2211yescharacteristic, complemented
171#17988650C2211yescharacteristic, complemented
172#17988645C2211yescharacteristic, complemented
173#17988645C2211yescharacteristic, complemented
174#17988642C2211yescharacteristic, complemented
175#17988629C2211yescharacteristic, complemented
176#17988627C2211yescharacteristic, complemented
177#17988625C2211yescharacteristic, complemented
178#17988624C2211yescharacteristic, complemented
179#17988623C2211yescharacteristic, complemented
180#17988622C2211yescharacteristic, complemented
181#17988615C2211yescharacteristic, complemented
182#17988613C2211yescharacteristic, complemented
183C4⋊C8×D73C2211yescharacteristic, complemented
184#17988592C2211yescharacteristic
185#17988580C2211yescharacteristic
186#17988580C2211yescharacteristic
187C2×#14556512C2211yescharacteristic
188#552×C73C2211yescharacteristic
189D42×C73C2211yescharacteristic
190#490×C73C2211yescharacteristic
191#482×C73C2211yescharacteristic
192#480×C73C2211yescharacteristic
193#478×C73C2211yescharacteristic
194#468×C73C2211yescharacteristic
195#465×C73C2211yescharacteristic
196#460×C73C2211yescharacteristic
197#450×C73C2211yescharacteristic
198#450×C73C2211yescharacteristic
199#440×C73C2211yescharacteristic
200#435×C73C2211yescharacteristic
201#418×C73C2211yescharacteristic
202C2×#102×C73C2211yescharacteristic
203C2×#11924027—21no—
204C2×#11924027C2311yescharacteristic
205C22×Dic146—21no—
206C2×#11924018C2311yescharacteristic
207C2×#11924017C2311yescharacteristic
208C2×#11924013C2311yescharacteristic
209C2×#11924013C2311yescharacteristic
210C2×#11924013C2311yescharacteristic
211C2×#11924012C2311yescharacteristic
212C22×#10596831C2311yescharacteristic
213C2×C8×D73C2311yescharacteristic
214C2×C8×D73C2311yescharacteristic
215#14556591—21no—
216#14556591C2311yescharacteristic
217#14556590—21no—
218#14556590—21no—
219#14556590C2311yescharacteristic
220#14556590C2311yescharacteristic
221#14556590C2311yescharacteristic
222#14556590C2311yescharacteristic
223#14556590C2311yescharacteristic
224#14556590C2311yescharacteristic
225#14556586—21no—
226#14556586—21no—
227#14556586—21no—
228#14556586—21no—
229#14556586—21no—
230#14556586—21no—
231#14556586—21no—
232#14556584—21no—
233#14556584—21no—
234#14556584—21no—
235#14556584—21no—
236#14556584—21no—
237#14556584D411yescharacteristic
238#14556584D411yescharacteristic
239#14556583—21no—
240#14556583—21no—
241#14556583C2311yescharacteristic
242#14556582—21no—
243#14556582—21no—
244#14556582—21no—
245#14556582D411yescharacteristic
246#14556582C2311yescharacteristic
247#14556582C2311yescharacteristic
248#14556582C2311yescharacteristic
249#14556580C2311yescharacteristic
250#14556579—21no—
251#14556578—21no—
252#14556578—21no—
253#14556578—21no—
254#14556578—21no—
255#14556578—21no—
256#14556578—21no—
257#14556578—21no—
258#14556578D411yescharacteristic
259#14556578C2311yescharacteristic
260#14556578C2311yescharacteristic
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556577—21no—
267#14556576—21no—
268#14556576—21no—
269#14556575—21no—
270#14556573—21no—
271#14556573—21no—
272#14556573—21no—
273#14556573D411yescharacteristic
274#14556573D411yescharacteristic
275#14556572—21no—
276#14556572—21no—
277#14556572—21no—
278#14556572—21no—
279#14556572—21no—
280#14556572—21no—
281#14556571—21no—
282#14556571—21no—
283#14556571—21no—
284#14556571D411yescharacteristic
285#14556570—21no—
286#14556570—21no—
287#14556570—21no—
288#14556570C2311yescharacteristic
289#14556570C2311yescharacteristic
290#14556569—21no—
291#14556569—21no—
292#14556569—21no—
293#14556569—21no—
294#14556568—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568—21no—
298#14556568—21no—
299#14556568—21no—
300#14556567C2311yescharacteristic
301#14556566C2311yescharacteristic
302#14556565—21no—
303#14556565C2311yescharacteristic
304#14556565C2311yescharacteristic
305#14556564—21no—
306#14556563—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556562—21no—
312#14556562D411yescharacteristic
313#14556562C2311yescharacteristic
314#14556562C2311yescharacteristic
315#14556560—21no—
316#14556560—21no—
317Q8×Dic73C2311yescharacteristic
318Q8×Dic73C2311yescharacteristic
319C4×Dic146—21no—
320C4×Dic146C2311yescharacteristic
321C4×Dic146C2311yescharacteristic
322#14556556—21no—
323#14556556—21no—
324#14556556—21no—
325#14556556—21no—
326#14556556C2311yescharacteristic
327C4×D292—21no—
328C4×D292C2311yescharacteristic
329D4×Dic73—21no—
330D4×Dic73—21no—
331D4×Dic73—21no—
332D4×Dic73—21no—
333D4×Dic73—21no—
334D4×Dic73—21no—
335D4×Dic73C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342#14556553C2311yescharacteristic
343#14556553C2311yescharacteristic
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73C2311yescharacteristic
347C4×C22⋊D73C2311yescharacteristic
348#14556551—21no—
349#14556551—21no—
350#14556550C2311yescharacteristic
351#14556550C2311yescharacteristic
352#14556550C2311yescharacteristic
353#14556550C2311yescharacteristic
354#14556550C2311yescharacteristic
355#14556549C2311yescharacteristic
356#14556549C2311yescharacteristic
357#14556549C2311yescharacteristic
358#14556548—21no—
359#14556548—21no—
360#14556547—21no—
361#14556547—21no—
362#14556547—21no—
363#14556547—21no—
364C2×C4⋊Dic73C2311yescharacteristic
365C4⋊C4×D73—21no—
366C2×C22⋊Dic73—21no—
367C2×C22⋊Dic73—21no—
368C2×C22⋊Dic73—21no—
369C2×C22⋊Dic73—21no—
370C2×C22⋊Dic73—21no—
371C2×C22⋊Dic73—21no—
372C2×C4×Dic73—21no—
373C42×D73C2311yescharacteristic
374#14556525C2311yescharacteristic
375#14556525C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556523C2311yescharacteristic
386#14556523C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
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#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556502C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C22×D4×C73—21no—
436C22×D4×C73C2311yescharacteristic
437C22×D4×C73C2311yescharacteristic
438C2×SD16×C73C2311yescharacteristic
439C2×SD16×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×M16×C73C2311yescharacteristic
442C22×C8×C73C2311yescharacteristic
443#127×C73C2311yescharacteristic
444#126×C73—21no—
445#125×C73—21no—
446#125×C73C2311yescharacteristic
447#123×C73—21no—
448C22⋊Q8×C73C2311yescharacteristic
449C22⋊Q8×C73C2311yescharacteristic
450#121×C73—21no—
451#121×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453#120×C73—21no—
454#120×C73—21no—
455C4×Q8×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458#117×C73—21no—
459#117×C73C2311yescharacteristic
460C2×C4⋊C4×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465#103×C73C2311yescharacteristic
466#102×C73C2311yescharacteristic
467#102×C73C2311yescharacteristic
468#102×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—21no—
487C2×Dic146—21no—
488C2×Dic146—82no—
489C2×Dic146C2×D411yescharacteristic
490C2×Dic146C2411yescharacteristic
491C2×D292—21no—
492C2×D292C2411yescharacteristic
493C2×C22⋊D73—21no—
494C2×C22⋊D73—21no—
495C2×C22⋊D73—21no—
496C2×C22⋊D73—21no—
497C2×C22⋊D73—21no—
498C2×C22⋊D73C2×D411yescharacteristic
499C2×C22⋊D73C2×D411yescharacteristic
500C22×Dic73—21no—
501C22×Dic73—21no—
502C22×Dic73—21no—
503C22×Dic73—21no—
504C22×Dic73—21no—
505C22×Dic73—21no—
506C22×Dic73—21no—
507C22×Dic73—21no—
508C22×Dic73—21no—
509C2×C4×D73—21no—
510C2×C4×D73—21no—
511C2×C4×D73—21no—
512C2×C4×D73C2×D411yescharacteristic
513C2×C4×D73C2×D411yescharacteristic
514C2×C4×D73C2411yescharacteristic
515#11924018—41no—
516#11924017—41no—
517#11924013—22no—
518#11924013—41no—
519#11924013—41no—
520#11924012—41no—
521C2×#10596831—41no—
522C2×#10596831C2411yescharacteristic
523C2×#10596831C2411yescharacteristic
524C2×#10596831C2411yescharacteristic
525C2×#10596831C2411yescharacteristic
526C8×D73—41no—
527C8×D73—41no—
528C4⋊Dic73—21no—
529C4⋊Dic73—21no—
530C4⋊Dic73—21no—
531C4⋊Dic73—21no—
532C4⋊Dic73—21no—
533C4⋊Dic73—21no—
534C4⋊Dic73—21no—
535C4⋊Dic73C2×D411yescharacteristic
536C4⋊Dic73C2×D411yescharacteristic
537C4⋊Dic73C2×D411yescharacteristic
538C4⋊Dic73C2×D411yescharacteristic
539C4⋊Dic73C2×D411yescharacteristic
540C4⋊Dic73C2411yescharacteristic
541C4⋊Dic73C2411yescharacteristic
542C4⋊Dic73C2411yescharacteristic
543C4⋊Dic73C2411yescharacteristic
544C4⋊Dic73C2411yescharacteristic
545C4⋊Dic73C2411yescharacteristic
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#11924007C2×D411yescharacteristic
563#11924007C2×D411yescharacteristic
564#11924007C2×D411yescharacteristic
565#11924007C2×D411yescharacteristic
566C22⋊Dic73—21no—
567C22⋊Dic73—21no—
568C22⋊Dic73—21no—
569C22⋊Dic73—21no—
570C22⋊Dic73—21no—
571C22⋊Dic73—21no—
572C22⋊Dic73—21no—
573C22⋊Dic73—21no—
574C22⋊Dic73—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⋊Dic73C2×D411yescharacteristic
585C22⋊Dic73C2×D411yescharacteristic
586C22⋊Dic73C2×D411yescharacteristic
587C22⋊Dic73C2×D411yescharacteristic
588C22⋊Dic73C2×D411yescharacteristic
589C22⋊Dic73C2×D411yescharacteristic
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
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×Dic73C2×D411yescharacteristic
615C4×Dic73C2×D411yescharacteristic
616C4×Dic73C2411yescharacteristic
617C4×Dic73C2411yescharacteristic
618C4×Dic73C2411yescharacteristic
619C24×C73—21no—
620C24×C73—21no—
621C2×Q8×C73C2411yescharacteristic
622C2×D4×C73—22no—
623C2×D4×C73—22no—
624C2×D4×C73—21no—
625C2×D4×C73—21no—
626C2×D4×C73—21no—
627C2×D4×C73—21no—
628C2×D4×C73—21no—
629C2×D4×C73—21no—
630C2×D4×C73—41no—
631C2×D4×C73—41no—
632C2×D4×C73—82no—
633C2×D4×C73C2×D411yescharacteristic
634C2×D4×C73C2411yescharacteristic
635C2×D4×C73C2411yescharacteristic
636C2×D4×C73C2411yescharacteristic
637C22×C4×C73—21no—
638C22×C4×C73—21no—
639C22×C4×C73C2411yescharacteristic
640C22×C4×C73C2411yescharacteristic
641SD16×C73—22no—
642SD16×C73—41no—
643SD16×C73—41no—
644M16×C73—41no—
645C2×C8×C73—41no—
646C2×C8×C73C2411yescharacteristic
647C2×C8×C73C2411yescharacteristic
648C2×C8×C73C2411yescharacteristic
649C2×C8×C73C2411yescharacteristic
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×C73C2×D411yescharacteristic
668C22⋊C4×C73C2×D411yescharacteristic
669C42×C73—21no—
670C42×C73—21no—
671C42×C73C2411yescharacteristic
672C23×C73—21no—
673C23×C73—21no—
674C23×C73—21no—
675C23×C73—42no—
676C23×C73—42no—
677C23×C73—81no—
678C23×C73—81no—
679C23×C73—81no—
680C23×C73—81no—
681C23×C73C22×D411yescharacteristic
682C23×C73C22×D411yescharacteristic
683C22×D73—21no—
684C22×D73C22×D411yescharacteristic
685Q8×C73—21no—
686Q8×C73—21no—
687D4×C73—21no—
688D4×C73—21no—
689D4×C73—21no—
690D4×C73—21no—
691D4×C73—21no—
692D4×C73—41no—
693D4×C73—42no—
694D4×C73—42no—
695D4×C73—42no—
696D4×C73—81no—
697D4×C73—81no—
698D4×C73—81no—
699D4×C732−1+412yes—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—21no—
707C2×C4×C73—21no—
708C2×C4×C73—21no—
709C2×C4×C73—42no—
710C2×C4×C73—81no—
711C2×C4×C73C22×D411yescharacteristic
712C2×C4×C73C22×D411yescharacteristic
713C2×C4×C73C22×D411yescharacteristic
714C2×C4×C73C22×D411yescharacteristic
715C2×C4×C73C2511yescharacteristic
716C22⋊D73—41no—
717C22⋊D73—41no—
718C22⋊D73—42no—
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—42no—
731C2×Dic73—81no—
732C2×Dic73—81no—
733C2×Dic73—81no—
734C2×Dic73—81no—
735C2×Dic73—81no—
736C2×Dic73—81no—
737C2×Dic73—81no—
738C2×Dic73—81no—
739C2×Dic73C22×D411yescharacteristic
740C2×Dic73C22×D411yescharacteristic
741C2×Dic73C22×D411yescharacteristic
742C2×Dic73C22×D411yescharacteristic
743C2×Dic73C22×D411yescharacteristic
744C2×Dic73C22×D411yescharacteristic
745C2×Dic73C22×D411yescharacteristic
746D292—21no—
747D292—21no—
748D292—81no—
749C4×D73—21no—
750C4×D73—21no—
751C4×D73—41no—
752C4×D73—41no—
753C4×D73—81no—
754C4×D73—81no—
755C4×D73—81no—
756Dic146—21no—
757Dic146—21no—
758Dic146—41no—
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—
770#10596831—21no—
771#10596831—21no—
772#10596831—21no—
773#10596831—21no—
774C22×C73—21no—
775C22×C73—21no—
776C22×C73—21no—
777C22×C73—21no—
778C22×C73—22no—
779C22×C73—21no—
780C22×C73—21no—
781C22×C73—41no—
782C22×C73—41no—
783C22×C73—41no—
784C22×C73—41no—
785C22×C73—41no—
786C22×C73—41no—
787C22×C73—41no—
788C22×C73—41no—
789C22×C73—162no—
790C22×C73—162no—
791C22×C73C23×D411yescharacteristic
792C2×D73—21no—
793C2×D73—21no—
794C2×D73—21no—
795C2×D73—41no—
796C2×D73—41no—
797C2×D73—41no—
798C4×C73—21no—
799C4×C73—21no—
800C4×C73—21no—
801C4×C73—21no—
802C4×C73—41no—
803C4×C73—41no—
804C4×C73—41no—
805C4×C73—41no—
806C4×C73—41no—
807C4×C73C2×2−1+411yescharacteristic
808C4×C73#58511yescharacteristic
809Dic73—21no—
810Dic73—21no—
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—41no—
825C2×C73—41no—
826C2×C73—42no—
827C2×C73—81no—
828C2×C73—81no—
829C2×C73#348911yescharacteristic
830C2×C73#358411yescharacteristic
831C2×C73#358511yescharacteristic
832D73—41no—
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#3310D7311yescharacteristic, complemented
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#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—1461no—
881#552C2×D7311yescharacteristic
882#551—1461no—
883#551—1461no—
884D4×Q8—731no—
885#548—1461no—
886#546—731no—
887#546—731no—
888#546—1461no—
889D42C2×D7311yescharacteristic
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#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#482C2×D7311yescharacteristic
939#481—731no—
940#480C2×D7311yescharacteristic
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#478C2×D7311yescharacteristic
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#468C2×D7311yescharacteristic
975#467—731no—
976#466—731no—
977#466—731no—
978#466—731no—
979#465—731no—
980#465—731no—
981#465—731no—
982#465C2×D7311yescharacteristic
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#460C2×D7311yescharacteristic
992#459—731no—
993#452—731no—
994#450C2×D7311yescharacteristic
995#450C2×D7311yescharacteristic
996#449—731no—
997#447—731no—
998#447—731no—
999#446—731no—
1000#446—731no—
1001#442—731no—
1002#442—731no—
1003#442—731no—
1004#441—731no—
1005#440—731no—
1006#440—731no—
1007#440—731no—
1008#440C2×D7311yescharacteristic
1009C4×SD16—731no—
1010C4×SD16—731no—
1011C4×D8—731no—
1012C4×D8—731no—
1013#435—731no—
1014#435—731no—
1015#435—731no—
1016#435C2×D7311yescharacteristic
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#418C2×D7311yescharacteristic
1033#416—731no—
1034#416—731no—
1035C2×#102—731no—
1036C2×#102C2×D7311yescharacteristic
1037C2×#41—731no—
1038C2×#41—1461no—
1039C22×Q8—1461no—
1040C22×D4—21no—
1041C22×D4C22×D7311yescharacteristic
1042C22×D4C22×D7311yescharacteristic
1043C2×Q16—731no—
1044C2×SD16—731no—
1045C2×SD16C22×D7311yescharacteristic
1046C2×SD16C22×D7311yescharacteristic
1047C2×SD16C22×D7311yescharacteristic
1048C2×D8—731no—
1049C2×D8—731no—
1050C2×D8—731no—
1051C2×M16—731no—
1052C2×M16C22×D7311yescharacteristic
1053C22×C8—731no—
1054C22×C8—731no—
1055C22×C8—731no—
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#127C22×D7311yescharacteristic
1068#126—21no—
1069#126—731no—
1070#126—731no—
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—21no—
1084#125—731no—
1085#125—731no—
1086#125—731no—
1087#125—731no—
1088#125—731no—
1089#125—1461no—
1090#125—1461no—
1091#125—1461no—
1092#125—1461no—
1093#125—1461no—
1094#125C22×D7311yescharacteristic
1095#124—731no—
1096#124—731no—
1097#124—731no—
1098#124—731no—
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#124—1461no—
1113#123—21no—
1114#123—731no—
1115#123—731no—
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#123—1461no—
1127#123—1461no—
1128C22⋊Q8—731no—
1129C22⋊Q8—731no—
1130C22⋊Q8—731no—
1131C22⋊Q8—731no—
1132C22⋊Q8—1461no—
1133C22⋊Q8—1461no—
1134C22⋊Q8—1461no—
1135C22⋊Q8—1461no—
1136C22⋊Q8—1461no—
1137C22⋊Q8—1461no—
1138C22⋊Q8—1461no—
1139C22⋊Q8—1461no—
1140C22⋊Q8—1461no—
1141C22⋊Q8—1461no—
1142C22⋊Q8—1461no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8C22×D7311yescharacteristic
1149C22⋊Q8C22×D7311yescharacteristic
1150#121—21no—
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#121C22×D7311yescharacteristic
1166#121C22×D7311yescharacteristic
1167#120—21no—
1168#120—21no—
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—731no—
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×D4—1461no—
1205C4×D4C22×D7311yescharacteristic
1206C4×D4C22×D7311yescharacteristic
1207#117—21no—
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#117C22×D7311yescharacteristic
1223C2×C4⋊C4—731no—
1224C2×C4⋊C4—1461no—
1225C2×C4⋊C4C22×D7311yescharacteristic
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⋊C8—731no—
1266C4⋊C8—731no—
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#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#102C22×D7311yescharacteristic
1292#102C22×D7311yescharacteristic
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⋊C8C22×D7311yescharacteristic
1305C22⋊C8C22×D7311yescharacteristic
1306#97—731no—
1307#97—731no—
1308#97—731no—
1309#97C22×D7311yescharacteristic
1310C4×C8—731no—
1311C4×C8—731no—
1312C24—21no—
1313C24—21no—
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×Q8C23×D7311yescharacteristic
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—21no—
1331C2×D4—21no—
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—82no—
1339C2×D4—731no—
1340C2×D4—731no—
1341C2×D4—731no—
1342C2×D4—1461no—
1343C2×D4—1461no—
1344C2×D4—1461no—
1345C2×D4—1461no—
1346C2×D4—1461no—
1347C2×D4—1461no—
1348C2×D4D4×D7311yescharacteristic
1349C2×D4C23×D7311yescharacteristic
1350C2×D4C23×D7311yescharacteristic
1351C2×D4C23×D7311yescharacteristic
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—731no—
1355C22×C4—731no—
1356C22×C4—731no—
1357C22×C4—1461no—
1358C22×C4—1461no—
1359C22×C4—1461no—
1360C22×C4—1461no—
1361C22×C4—1461no—
1362C22×C4—1461no—
1363C22×C4—1461no—
1364C22×C4—1461no—
1365C22×C4—1461no—
1366C22×C4—1461no—
1367C22×C4—1461no—
1368C22×C4—1461no—
1369C22×C4C23×D7311yescharacteristic
1370C22×C4C23×D7311yescharacteristic
1371Q16—2921no—
1372SD16—22no—
1373SD16—41no—
1374SD16—41no—
1375SD16—2921no—
1376D8—2921no—
1377D8—2921no—
1378D8—1462no—
1379M16—41no—
1380M16—2921no—
1381C2×C8—41no—
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—731no—
1413C4⋊C4—731no—
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⋊C4—1461no—
1436C4⋊C4—1461no—
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—731no—
1449C22⋊C4—731no—
1450C22⋊C4—731no—
1451C22⋊C4—731no—
1452C22⋊C4—731no—
1453C22⋊C4—731no—
1454C22⋊C4—731no—
1455C22⋊C4—731no—
1456C22⋊C4—1461no—
1457C22⋊C4—1461no—
1458C22⋊C4—1461no—
1459C22⋊C4—1461no—
1460C22⋊C4—1461no—
1461C22⋊C4—1461no—
1462C22⋊C4—1461no—
1463C22⋊C4—1461no—
1464C22⋊C4—1461no—
1465C22⋊C4—1461no—
1466C22⋊C4—1461no—
1467C22⋊C4—1461no—
1468C22⋊C4—1461no—
1469C22⋊C4—1461no—
1470C22⋊C4—1461no—
1471C22⋊C4—1461no—
1472C22⋊C4—1461no—
1473C22⋊C4—1461no—
1474C22⋊C4—1461no—
1475C22⋊C4—1461no—
1476C22⋊C4—1461no—
1477C22⋊C4—1461no—
1478C22⋊C4—1461no—
1479C22⋊C4—1461no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4D4×D7311yescharacteristic
1487C22⋊C4D4×D7311yescharacteristic
1488C42—21no—
1489C42—21no—
1490C42—731no—
1491C42—731no—
1492C42—731no—
1493C42—731no—
1494C42—731no—
1495C42—1461no—
1496C42—1461no—
1497C42—1461no—
1498C42—1461no—
1499C42—1461no—
1500C42—1461no—
1501C42—1461no—
1502C42—1461no—
1503C42—1461no—
1504C42—1461no—
1505C42C23×D7311yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—42no—
1510C23—42no—
1511C23—81no—
1512C23—81no—
1513C23—81no—
1514C23—81no—
1515C23—731no—
1516C23—1461no—
1517C23C2×D4×D7311yescharacteristic
1518C23C2×D4×D7311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—2922no—
1522Q8—2921no—
1523Q8—5841no—
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—41no—
1537D4—42no—
1538D4—42no—
1539D4—42no—
1540D4—81no—
1541D4—81no—
1542D4—81no—
1543D4—2922no—
1544D4—2921no—
1545D4—2921no—
1546D4—5841no—
1547D4—5841no—
1548D4—5841no—
1549D4—5841no—
1550D4—5841no—
1551D4—1461no—
1552D4—1461no—
1553D4#1455663812yes—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—42no—
1564C2×C4—81no—
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—5841no—
1576C2×C4—5841no—
1577C2×C4—5841no—
1578C2×C4—5841no—
1579C2×C4—731no—
1580C2×C4—731no—
1581C2×C4—731no—
1582C2×C4—731no—
1583C2×C4—731no—
1584C2×C4—731no—
1585C2×C4—731no—
1586C2×C4—1461no—
1587C2×C4—1461no—
1588C2×C4—1461no—
1589C2×C4—1461no—
1590C2×C4—1461no—
1591C2×C4—1461no—
1592C2×C4—1461no—
1593C2×C4—1461no—
1594C2×C4—1461no—
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—21no—
1609C22—21no—
1610C22—22no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—162no—
1624C22—162no—
1625C22—2921no—
1626C22—2921no—
1627C22—2921no—
1628C22—1461no—
1629C22—1461no—
1630C22—1461no—
1631C22C22×D4×D7311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—2921no—
1642C4—2921no—
1643C4—2921no—
1644C4—2921no—
1645C4—2921no—
1646C4—2921no—
1647C4—2921no—
1648C4—1461no—
1649C4—1461no—
1650C4—1461no—
1651C4—1461no—
1652C4—1461no—
1653C4—1461no—
1654C4—1461no—
1655C4C2×#1455663811yescharacteristic
1656C4#1798942211yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—42no—
1660C2—81no—
1661C2—81no—
1662C2—2921no—
1663C2—5841no—
1664C2#2262360211yescharacteristic
1665C2#2262470311yescharacteristic
1666C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3310C2
socleC22×C73C23×D4
hypercenter#3310D73
hypocenterC73#62159
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #22624579C2semidirect
2. #22623883C2semidirect
3. #22622853C2semidirect
4. #22622833C2semidirect
5. #22622692C2semidirect
6. #22622679C2semidirect
7. #22622478C2semidirect
8. #22622461C2semidirect
9. #22622441C2semidirect
10. #22622434C2semidirect
11. #22622348C2semidirect
12. #22622339C2semidirect
13. #22622088C2semidirect
14. #22622072C2semidirect
15. #22621960C2semidirect
16. #22621777C2semidirect
17. #22621770C2semidirect
18. #22621395C2semidirect
19. #22621388C2semidirect
20. #22621255C2semidirect
21. #22621227C2semidirect
22. #22621210C2semidirect
23. #22621124C2semidirect
24. #22620116C2semidirect
25. #22620116C2semidirect
26. #22620044C2semidirect
27. #22619764C2semidirect
28. #22619758C2semidirect
29. #22619716C2semidirect
30. #22619066C2semidirect
31. C73×#3310C2semidirect
35. #17989313C22semidirect
36. #17989308C22semidirect
41. #17989300C22semidirect
42. #17989293C22semidirect
43. #17989285C22semidirect
45. #17989279C22semidirect
54. #17989218C22semidirect
55. #17989215C22semidirect
56. #17989210C22semidirect
57. #17989210C22semidirect
66. #17989143C22semidirect
68. #17989124C22semidirect
75. #17988997C22semidirect
76. #17988996C22semidirect
77. #17988995C22semidirect
78. #17988995C22semidirect
79. #17988991C22semidirect
80. #17988984C22semidirect
82. #17988945C22semidirect
83. #17988945C22semidirect
84. #17988940C22semidirect
85. #17988940C22semidirect
86. #17988929C22semidirect
87. #17988928C22semidirect
88. #17988927C22semidirect
89. #17988925C22semidirect
90. #17988925C22semidirect
91. #17988922C22semidirect
92. #17988918C22semidirect
93. #17988914C22semidirect
94. #17988912C22semidirect
95. #17988912C22semidirect
96. #17988910C22semidirect
97. #17988910C22semidirect
98. #17988909C22semidirect
99. #17988909C22semidirect
102. #17988895C22semidirect
103. #17988893C22semidirect
104. #17988891C22semidirect
107. #17988889C22semidirect
108. #17988889C22semidirect
111. #17988885C22semidirect
112. #17988885C22semidirect
113. #17988882C22semidirect
114. #17988881C22semidirect
115. #17988880C22semidirect
116. #17988878C22semidirect
117. #17988876C22semidirect
120. #17988875C22semidirect
121. #17988875C22semidirect
122. #17988875C22semidirect
123. #17988871C22semidirect
124. #17988870C22semidirect
125. #17988866C22semidirect
128. #17988865C22semidirect
129. #17988865C22semidirect
130. #17988865C22semidirect
131. #17988843C22semidirect
133. #17988833C22semidirect
134. #17988826C22semidirect
135. #17988822C22semidirect
136. #17988822C22semidirect
138. #17988816C22semidirect
139. #17988813C22semidirect
140. #17988813C22semidirect
141. #17988812C22semidirect
142. #17988807C22semidirect
143. #17988807C22semidirect
145. #17988804C22semidirect
146. #17988804C22semidirect
147. #17988801C22semidirect
148. #17988801C22semidirect
154. #17988716C22semidirect
155. #17988715C22semidirect
158. #17988696C22semidirect
159. #17988692C22semidirect
160. #17988689C22semidirect
162. #17988688C22semidirect
164. SD16×Dic73C22semidirect
166. #17988667C22semidirect
167. #17988661C22semidirect
169. #17988656C22semidirect
170. C8×C22⋊D73C22semidirect
171. #17988650C22semidirect
172. #17988645C22semidirect
173. #17988645C22semidirect
174. #17988642C22semidirect
175. #17988629C22semidirect
176. #17988627C22semidirect
177. #17988625C22semidirect
178. #17988624C22semidirect
179. #17988623C22semidirect
180. #17988622C22semidirect
181. #17988615C22semidirect
182. #17988613C22semidirect
183. C4⋊C8×D73C22semidirect
849. #3310D73semidirect
865. C73#62159semidirect

Maximal subgroups

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

subgroupindex
#226245792
#226238832
#226228532
#226228332
#226226922
#226226792
#226224782
#226224612
#226224412
#226224342
#226223482
#226223392
#226220882
#226220722
#226219602
#226217772
#226217702
#226213952
#226213882
#226212552
#226212272
#226212102
#226211242
#226201162
#226200442
#226197642
#226197582
#226197162
#226190662
C73×#33102
#6215973