Finite Group Databasebeta

← #33983078

Subgroups — #33983078

Order 18688.

1708 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624308C211yesmaximal, characteristic, complemented
2#22623988C211yesmaximal, characteristic, complemented
3#22622890C211yesmaximal, characteristic, complemented
4#22622825C211yesmaximal, characteristic, complemented
5#22622755C211yesmaximal, characteristic, complemented
6#22622646C211yesmaximal, characteristic, complemented
7#22622479C211yesmaximal, characteristic, complemented
8#22622448C211yesmaximal, characteristic, complemented
9#22622426C211yesmaximal, characteristic, complemented
10#22622365C211yesmaximal, characteristic, complemented
11#22622339C211yesmaximal, characteristic, complemented
12#22622331C211yesmaximal, characteristic, complemented
13#22622087C211yesmaximal, characteristic, complemented
14#22622080C211yesmaximal, characteristic, complemented
15#22621908C211yesmaximal, characteristic, complemented
16#22621852C211yesmaximal, characteristic, complemented
17#22621777C211yesmaximal, characteristic, complemented
18#22621371C211yesmaximal, characteristic, complemented
19#22621343C211yesmaximal, characteristic, complemented
20#22621254C211yesmaximal, characteristic, complemented
21#22621225C211yesmaximal, characteristic, complemented
22#22621195C211yesmaximal, characteristic, complemented
23#22621168C211yesmaximal, characteristic, complemented
24#22620168C211yesmaximal, characteristic, complemented
25#22620131C211yesmaximal, characteristic, complemented
26#22620078C211yesmaximal, characteristic, complemented
27#22619786C211yesmaximal, characteristic, complemented
28#22619758C211yesmaximal, characteristic, complemented
29#22619720C211yesmaximal, characteristic, complemented
30#22619066C211yesmaximal, characteristic, complemented
31C73×#3306C211yesmaximal, characteristic, complemented
32#17989334—21no—
33#17989334—21no—
34#17989308C2211yescharacteristic
35#17989306C2211yescharacteristic
36#17989302C2211yescharacteristic
37#17989301C2211yescharacteristic
38#17989301C2211yescharacteristic, complemented
39#17989296C2211yescharacteristic
40#17989294C2211yescharacteristic, complemented
41#17989289C2211yescharacteristic
42#17989285C2211yescharacteristic
43#17989285C2211yescharacteristic, complemented
44#17989280—21no—
45#17989279—21no—
46#17989277C2211yescharacteristic
47#17989274—21no—
48#17989268—21no—
49#17989263—21no—
50#17989252C2211yescharacteristic, complemented
51#17989244—21no—
52#17989236C2211yescharacteristic
53#17989231C2211yescharacteristic
54#17989218C2211yescharacteristic
55#17989218C2211yescharacteristic, complemented
56#17989205—21no—
57#17989205—21no—
58#17989204C2211yescharacteristic
59#17989197C2211yescharacteristic
60#17989190C2211yescharacteristic
61#17989190C2211yescharacteristic, complemented
62#17989181—21no—
63#17989172—21no—
64#17989165—21no—
65#17989160—21no—
66#17989142C2211yescharacteristic, complemented
67#17989134C2211yescharacteristic, complemented
68#17989119C2211yescharacteristic
69#17989118—21no—
70#17989116C2211yescharacteristic
71C2×#14556584—21no—
72#17989070C2211yescharacteristic
73#17989062C2211yescharacteristic
74C4×#11924027C2211yescharacteristic
75#17988996C2211yescharacteristic, complemented
76#17988994C2211yescharacteristic, complemented
77#17988994C2211yescharacteristic, complemented
78#17988993C2211yescharacteristic, complemented
79#17988987C2211yescharacteristic, complemented
80#17988984C2211yescharacteristic, complemented
81#17988954C2211yescharacteristic, complemented
82#17988946C2211yescharacteristic
83#17988945C2211yescharacteristic
84#17988940C2211yescharacteristic
85#17988936C2211yescharacteristic, complemented
86#17988929C2211yescharacteristic
87#17988929C2211yescharacteristic, complemented
88#17988927C2211yescharacteristic, complemented
89#17988927C2211yescharacteristic, complemented
90#17988925C2211yescharacteristic
91#17988922C2211yescharacteristic
92#17988917C2211yescharacteristic, complemented
93#17988913C2211yescharacteristic, complemented
94#17988912C2211yescharacteristic
95#17988910C2211yescharacteristic
96#17988910C2211yescharacteristic
97#17988909C2211yescharacteristic, complemented
98#17988908C2211yescharacteristic
99#17988908C2211yescharacteristic
100#17988906C2211yescharacteristic, complemented
101#17988898C2211yescharacteristic, complemented
102#17988897C2211yescharacteristic, complemented
103#17988897C2211yescharacteristic, complemented
104#17988892C2211yescharacteristic, complemented
105#17988892C2211yescharacteristic, complemented
106#17988892C2211yescharacteristic, complemented
107#17988889C2211yescharacteristic
108#17988889C2211yescharacteristic
109#17988889C2211yescharacteristic
110#17988889C2211yescharacteristic
111#17988889C2211yescharacteristic, complemented
112#17988888C2211yescharacteristic, complemented
113#17988887C2211yescharacteristic, complemented
114#17988886C2211yescharacteristic, complemented
115#17988885C2211yescharacteristic
116#17988885C2211yescharacteristic
117#17988885C2211yescharacteristic
118#17988880C2211yescharacteristic, complemented
119#17988880C2211yescharacteristic, complemented
120#17988879C2211yescharacteristic, complemented
121#17988876C2211yescharacteristic, complemented
122#17988875C2211yescharacteristic
123#17988875C2211yescharacteristic
124#17988873C2211yescharacteristic, complemented
125#17988871C2211yescharacteristic, complemented
126#17988867C2211yescharacteristic
127#17988865C2211yescharacteristic
128#17988865C2211yescharacteristic
129#17988865C2211yescharacteristic
130#17988865C2211yescharacteristic, complemented
131#17988835C2211yescharacteristic
132#17988833C2211yescharacteristic, complemented
133#17988831C2211yescharacteristic
134#17988822C2211yescharacteristic
135#17988821C2211yescharacteristic
136#17988820C2211yescharacteristic
137#17988819C2211yescharacteristic, complemented
138#17988816C2211yescharacteristic
139#17988814C2211yescharacteristic, complemented
140#17988813C2211yescharacteristic, complemented
141#17988801C2211yescharacteristic
142#17988800C2211yescharacteristic
143#17988799C2211yescharacteristic
144#17988791C2211yescharacteristic, complemented
145#17988790C2211yescharacteristic, complemented
146#17988786C2211yescharacteristic, complemented
147#17988785C2211yescharacteristic, complemented
148#17988780C2211yescharacteristic
149#17988780C2211yescharacteristic
150#17988733C2211yescharacteristic
151#17988732C2211yescharacteristic
152#17988729C2211yescharacteristic
153#17988721C2211yescharacteristic
154#17988716C2211yescharacteristic, complemented
155#17988715C2211yescharacteristic, complemented
156#17988699C2211yescharacteristic
157#17988699C2211yescharacteristic
158#17988697C2211yescharacteristic
159#17988696C2211yescharacteristic
160#17988690C2211yescharacteristic, complemented
161#17988689C2211yescharacteristic, complemented
162#17988687C2211yescharacteristic, complemented
163SD16×Dic73C2211yescharacteristic, complemented
164D8×Dic73C2211yescharacteristic
165#17988667C2211yescharacteristic
166#17988667C2211yescharacteristic
167#17988661C2211yescharacteristic
168#17988659C2211yescharacteristic
169#17988656C2211yescharacteristic, complemented
170C8×C22⋊D73C2211yescharacteristic
171#17988650C2211yescharacteristic, complemented
172#17988645C2211yescharacteristic
173#17988645C2211yescharacteristic, complemented
174#17988642C2211yescharacteristic, complemented
175#17988629C2211yescharacteristic, complemented
176#17988627C2211yescharacteristic
177#17988625C2211yescharacteristic
178#17988622C2211yescharacteristic, complemented
179#17988622C2211yescharacteristic, complemented
180C2×#14556524C2211yescharacteristic, complemented
181#17988615C2211yescharacteristic, complemented
182#17988613C2211yescharacteristic
183C4⋊C8×D73C2211yescharacteristic, complemented
184#17988592C2211yescharacteristic
185#17988583C2211yescharacteristic
186#17988580C2211yescharacteristic
187#17988580C2211yescharacteristic
188#547×C73C2211yescharacteristic
189#546×C73C2211yescharacteristic
190#489×C73C2211yescharacteristic
191#483×C73C2211yescharacteristic
192#481×C73C2211yescharacteristic
193#476×C73C2211yescharacteristic
194#469×C73C2211yescharacteristic
195#465×C73C2211yescharacteristic
196#463×C73C2211yescharacteristic
197#449×C73C2211yescharacteristic
198#447×C73C2211yescharacteristic
199#442×C73C2211yescharacteristic
200#435×C73C2211yescharacteristic
201#417×C73C2211yescharacteristic
202C2×#102×C73C2211yescharacteristic
203C2×#11924028—21no—
204C2×#11924027C2311yescharacteristic
205C2×Q8×D73—21no—
206C2×#11924017C2311yescharacteristic
207C2×#11924016C2311yescharacteristic
208C2×#11924015C2311yescharacteristic
209C2×#11924013C2311yescharacteristic
210C2×#11924013C2311yescharacteristic
211C2×#11924012C2311yescharacteristic
212C22×#10596831C2311yescharacteristic
213C2×C8×D73C2311yescharacteristic
214C2×C8×D73C2311yescharacteristic
215#14556591C2311yescharacteristic
216#14556590—21no—
217#14556590—21no—
218#14556590C2311yescharacteristic
219#14556590C2311yescharacteristic
220#14556590C2311yescharacteristic
221#14556590C2311yescharacteristic
222#14556589C2311yescharacteristic
223#14556587C2311yescharacteristic
224#14556586—21no—
225#14556586—21no—
226#14556586—21no—
227#14556584—21no—
228#14556584—21no—
229#14556584—21no—
230#14556584—21no—
231#14556584—21no—
232#14556584—21no—
233#14556584—21no—
234#14556584—21no—
235#14556584—21no—
236#14556584D411yescharacteristic
237#14556584D411yescharacteristic
238#14556583C2311yescharacteristic
239#14556582—21no—
240#14556582—21no—
241#14556582—21no—
242#14556582D411yescharacteristic
243#14556582C2311yescharacteristic
244#14556582C2311yescharacteristic
245#14556582C2311yescharacteristic
246#14556582C2311yescharacteristic
247#14556582C2311yescharacteristic
248#14556581—21no—
249#14556581—21no—
250#14556578—21no—
251#14556578—21no—
252#14556578—21no—
253#14556578D411yescharacteristic
254#14556578C2311yescharacteristic
255#14556577—21no—
256#14556577—21no—
257#14556577—21no—
258#14556577—21no—
259#14556577—21no—
260#14556577—21no—
261#14556576—21no—
262#14556576—21no—
263#14556575—21no—
264#14556575—21no—
265#14556575—21no—
266#14556574—21no—
267#14556573—21no—
268#14556573—21no—
269#14556573—21no—
270#14556573D411yescharacteristic
271#14556573D411yescharacteristic
272#14556572—21no—
273#14556572—21no—
274#14556572—21no—
275#14556572—21no—
276#14556571—21no—
277#14556571D411yescharacteristic
278#14556570—21no—
279#14556570—21no—
280#14556570—21no—
281#14556570—21no—
282#14556570—21no—
283#14556570—21no—
284#14556570C2311yescharacteristic
285#14556570C2311yescharacteristic
286#14556569—21no—
287#14556569—21no—
288#14556568—21no—
289#14556568—21no—
290#14556568—21no—
291#14556568—21no—
292#14556568—21no—
293#14556568—21no—
294#14556567—21no—
295#14556567—21no—
296#14556567C2311yescharacteristic
297#14556566C2311yescharacteristic
298#14556565—21no—
299#14556565—21no—
300#14556565C2311yescharacteristic
301#14556565C2311yescharacteristic
302#14556564—21no—
303#14556563—21no—
304#14556563—21no—
305#14556563—21no—
306#14556563—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556562—21no—
311#14556562—21no—
312#14556562—21no—
313#14556562D411yescharacteristic
314#14556562C2311yescharacteristic
315#14556562C2311yescharacteristic
316#14556560—21no—
317Q8×Dic73—21no—
318Q8×Dic73C2311yescharacteristic
319Q8×Dic73C2311yescharacteristic
320C4×Dic146C2311yescharacteristic
321C4×Dic146C2311yescharacteristic
322#14556556—21no—
323#14556556—21no—
324#14556556C2311yescharacteristic
325C4×D292C2311yescharacteristic
326D4×Dic73—21no—
327D4×Dic73—21no—
328D4×Dic73—21no—
329D4×Dic73—21no—
330D4×Dic73—21no—
331D4×Dic73C2311yescharacteristic
332D4×Dic73C2311yescharacteristic
333D4×Dic73C2311yescharacteristic
334D4×Dic73C2311yescharacteristic
335D4×Dic73C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338#14556553C2311yescharacteristic
339#14556553C2311yescharacteristic
340C4×C22⋊D73—21no—
341C4×C22⋊D73—21no—
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73C2311yescharacteristic
345C4×C22⋊D73C2311yescharacteristic
346#14556551—21no—
347#14556551—21no—
348#14556550—21no—
349#14556550C2311yescharacteristic
350#14556550C2311yescharacteristic
351#14556550C2311yescharacteristic
352#14556550C2311yescharacteristic
353#14556550C2311yescharacteristic
354#14556549—21no—
355#14556549C2311yescharacteristic
356#14556549C2311yescharacteristic
357#14556549C2311yescharacteristic
358#14556547—21no—
359#14556547—21no—
360#14556547—21no—
361#14556547—21no—
362#14556547—21no—
363#14556547—21no—
364C2×C4⋊Dic73—21no—
365C2×C4⋊Dic73—21no—
366C2×C4⋊Dic73C2311yescharacteristic
367C2×#11924007—21no—
368C2×#11924007—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#14556524C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556523C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556523C2311yescharacteristic
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
435C2×#41×C73—21no—
436C2×#41×C73C2311yescharacteristic
437C22×D4×C73C2311yescharacteristic
438C2×SD16×C73C2311yescharacteristic
439C2×D8×C73C2311yescharacteristic
440C2×D8×C73C2311yescharacteristic
441C2×M16×C73C2311yescharacteristic
442C22×C8×C73C2311yescharacteristic
443C4⋊Q8×C73C2311yescharacteristic
444#124×C73C2311yescharacteristic
445#123×C73—21no—
446#123×C73—21no—
447#123×C73—21no—
448C22⋊Q8×C73—21no—
449C22⋊Q8×C73C2311yescharacteristic
450#121×C73—21no—
451#121×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453#121×C73C2311yescharacteristic
454#120×C73—21no—
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C2×C4⋊C4×C73C2311yescharacteristic
459C2×C4⋊C4×C73C2311yescharacteristic
460C2×C22⋊C4×C73—21no—
461#106×C73C2311yescharacteristic
462#106×C73C2311yescharacteristic
463#106×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
475C22⋊C8×C73C2311yescharacteristic
476C22⋊C8×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478#11924028—82no—
479#11924027—22no—
480#11924027—41no—
481C2×Dic146—21no—
482C2×Dic146—21no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146C2×D411yescharacteristic
487C2×Dic146C2411yescharacteristic
488Q8×D73—82no—
489C2×D292—21no—
490C2×D292C2411yescharacteristic
491C2×C22⋊D73—21no—
492C2×C22⋊D73—21no—
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#11924017—41no—
516#11924016—41no—
517#11924015—41no—
518#11924013—22no—
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⋊Dic73—21no—
536C4⋊Dic73—21no—
537C4⋊Dic73C2×D411yescharacteristic
538C4⋊Dic73C2×D411yescharacteristic
539C4⋊Dic73C2×D411yescharacteristic
540C4⋊Dic73C2×D411yescharacteristic
541C4⋊Dic73C2×D411yescharacteristic
542C4⋊Dic73C2411yescharacteristic
543C4⋊Dic73C2411yescharacteristic
544C4⋊Dic73C2411yescharacteristic
545C4⋊Dic73C2411yescharacteristic
546C4⋊Dic73C2411yescharacteristic
547C4⋊Dic73C2411yescharacteristic
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#11924007C2×D411yescharacteristic
567#11924007C2×D411yescharacteristic
568#11924007C2×D411yescharacteristic
569#11924007C2×D411yescharacteristic
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⋊Dic73—21no—
585C22⋊Dic73—21no—
586C22⋊Dic73C2×D411yescharacteristic
587C22⋊Dic73C2×D411yescharacteristic
588C22⋊Dic73C2×D411yescharacteristic
589C22⋊Dic73C2×D411yescharacteristic
590C22⋊Dic73C2×D411yescharacteristic
591C22⋊Dic73C2×D411yescharacteristic
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—
620#41×C73—22no—
621#41×C73—41no—
622#41×C73—82no—
623C2×Q8×C73—21no—
624C2×Q8×C73C2411yescharacteristic
625C2×D4×C73—22no—
626C2×D4×C73—21no—
627C2×D4×C73—21no—
628C2×D4×C73—21no—
629C2×D4×C73—21no—
630C2×D4×C73—21no—
631C2×D4×C73—41no—
632C2×D4×C73C2×D411yescharacteristic
633C2×D4×C73C2411yescharacteristic
634C2×D4×C73C2411yescharacteristic
635C2×D4×C73C2411yescharacteristic
636C22×C4×C73—21no—
637C22×C4×C73—21no—
638C22×C4×C73—21no—
639C22×C4×C73—21no—
640C22×C4×C73—21no—
641C22×C4×C73C2411yescharacteristic
642C22×C4×C73C2411yescharacteristic
643SD16×C73—41no—
644D8×C73—22no—
645D8×C73—41no—
646M16×C73—41no—
647C2×C8×C73—41no—
648C2×C8×C73C2411yescharacteristic
649C2×C8×C73C2411yescharacteristic
650C2×C8×C73C2411yescharacteristic
651C2×C8×C73C2411yescharacteristic
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×C73—21no—
669C22⋊C4×C73C2×D411yescharacteristic
670C22⋊C4×C73C2×D411yescharacteristic
671C42×C73C2411yescharacteristic
672C23×C73—21no—
673C23×C73—21no—
674C23×C73—21no—
675C23×C73—42no—
676C23×C73—81no—
677C23×C73—81no—
678C23×C73C22×D411yescharacteristic
679C23×C73C22×D411yescharacteristic
680C22×D73—21no—
681C22×D73C22×D411yescharacteristic
682Q8×C73—21no—
683Q8×C73—21no—
684Q8×C73—42no—
685D4×C73—21no—
686D4×C73—21no—
687D4×C73—21no—
688D4×C73—21no—
689D4×C73—21no—
690D4×C73—41no—
691D4×C73—42no—
692D4×C73—42no—
693D4×C73—81no—
694D4×C73—81no—
695D4×C73—81no—
696D4×C732−1+412yes—
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—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—42no—
707C2×C4×C73—42no—
708C2×C4×C73—81no—
709C2×C4×C73—81no—
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—
723C22⋊D73—81no—
724C22⋊D73—81no—
725C2×Dic73—21no—
726C2×Dic73—21no—
727C2×Dic73—21no—
728C2×Dic73—21no—
729C2×Dic73—21no—
730C2×Dic73—21no—
731C2×Dic73—21no—
732C2×Dic73—42no—
733C2×Dic73—81no—
734C2×Dic73—81no—
735C2×Dic73—81no—
736C2×Dic73—81no—
737C2×Dic73—81no—
738C2×Dic73—81no—
739C2×Dic73—81no—
740C2×Dic73—81no—
741C2×Dic73C22×D411yescharacteristic
742C2×Dic73C22×D411yescharacteristic
743C2×Dic73C22×D411yescharacteristic
744C2×Dic73C22×D411yescharacteristic
745C2×Dic73C22×D411yescharacteristic
746C2×Dic73C22×D411yescharacteristic
747C2×Dic73C22×D411yescharacteristic
748D292—21no—
749D292—21no—
750D292—81no—
751C4×D73—21no—
752C4×D73—21no—
753C4×D73—41no—
754C4×D73—41no—
755C4×D73—42no—
756C4×D73—81no—
757C4×D73—81no—
758Dic146—21no—
759Dic146—21no—
760Dic146—41no—
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×C73C23×D411yescharacteristic
791C2×D73—21no—
792C2×D73—21no—
793C2×D73—21no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—41no—
797C4×C73—21no—
798C4×C73—21no—
799C4×C73—21no—
800C4×C73—21no—
801C4×C73—41no—
802C4×C73—41no—
803C4×C73—41no—
804C4×C73—41no—
805C4×C73—41no—
806C4×C73C2×2−1+411yescharacteristic
807C4×C73#58511yescharacteristic
808Dic73—21no—
809Dic73—21no—
810Dic73—21no—
811Dic73—21no—
812Dic73—21no—
813Dic73—21no—
814Dic73—21no—
815Dic73—41no—
816Dic73—41no—
817Dic73—41no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822#62171—731nomaximal, Sylow
823C2×C73—41no—
824C2×C73—41no—
825C2×C73—42no—
826C2×C73—81no—
827C2×C73—81no—
828C2×C73#348911yescharacteristic
829C2×C73#358411yescharacteristic
830C2×C73#358511yescharacteristic
831D73—41no—
832D73—81no—
833#3547—731no—
834#3521—731no—
835#3389—731no—
836#3384—731no—
837#3376—731no—
838#3367—731no—
839#3350—731no—
840#3348—731no—
841#3347—731no—
842#3343—731no—
843#3340—731no—
844#3339—731no—
845#3319—731no—
846#3319—731no—
847#3307—731no—
848#3306D7311yescharacteristic, complemented
849#3303—731no—
850#3297—731no—
851#3260—731no—
852#3257—731no—
853#3247—731no—
854#3244—731no—
855#3242—731no—
856#3240—731no—
857#3122—731no—
858#3119—731no—
859#3115—731no—
860#3083—731no—
861#3081—731no—
862#3076—731no—
863#2992—731no—
864C73#6217111yescharacteristic, complemented, Sylow
865#562—1461no—
866#562—1461no—
867#556—731no—
868#556—731no—
869#555—731no—
870#555—731no—
871#555—731no—
872#554—731no—
873#554—731no—
874#553—731no—
875#553—731no—
876#553—731no—
877#553—1461no—
878#552—731no—
879#552—1461no—
880#552—1461no—
881#551—1461no—
882#551—1461no—
883D4×Q8—731no—
884#548—1461no—
885#547—731no—
886#547C2×D7311yescharacteristic
887#546—731no—
888#546C2×D7311yescharacteristic
889#544—731no—
890#544—731no—
891#542—731no—
892#542—1461no—
893#542—1461no—
894#541—731no—
895#540—731no—
896#540—731no—
897#539—1461no—
898#538—1461no—
899#537—1461no—
900#536—1461no—
901#533—731no—
902#532—731no—
903#529—731no—
904#529—731no—
905#529—1461no—
906C2×#126—1461no—
907#520—731no—
908#518—731no—
909C4×#41—731no—
910#501—731no—
911#501—731no—
912#501—731no—
913#501—731no—
914#499—731no—
915#498—731no—
916#491—731no—
917#489—731no—
918#489—731no—
919#489C2×D7311yescharacteristic
920#488—731no—
921#487—731no—
922#485—731no—
923#485—731no—
924#485—731no—
925#485—731no—
926#485—731no—
927#484—731no—
928#483—731no—
929#483C2×D7311yescharacteristic
930#482—731no—
931#482—731no—
932#482—731no—
933#482—731no—
934#482—731no—
935#482—731no—
936#482—731no—
937#481—731no—
938#481C2×D7311yescharacteristic
939#480—731no—
940#479—731no—
941#479—731no—
942#479—731no—
943#479—731no—
944#479—731no—
945#478—731no—
946#478—731no—
947#478—731no—
948#478—731no—
949#478—731no—
950#478—731no—
951#478—731no—
952#478—731no—
953#478—731no—
954#478—731no—
955#478—731no—
956#477—731no—
957#477—731no—
958#477—731no—
959#476—731no—
960#476—731no—
961#476—731no—
962#476C2×D7311yescharacteristic
963#475—731no—
964#475—731no—
965#474—731no—
966#474—731no—
967#474—731no—
968#474—731no—
969#474—731no—
970#469C2×D7311yescharacteristic
971#468—731no—
972#468—731no—
973#468—731no—
974#466—731no—
975#466—731no—
976#466—731no—
977#465—731no—
978#465—731no—
979#465—731no—
980#465—731no—
981#465C2×D7311yescharacteristic
982#463—731no—
983#463—731no—
984#463—731no—
985#463C2×D7311yescharacteristic
986#461—731no—
987#461—731no—
988#460—731no—
989#460—731no—
990#459—731no—
991#459—731no—
992#449—731no—
993#449—731no—
994#449—731no—
995#449C2×D7311yescharacteristic
996#447—731no—
997#447C2×D7311yescharacteristic
998#446—731no—
999#446—731no—
1000#442—731no—
1001#442—731no—
1002#442—731no—
1003#442—731no—
1004#442C2×D7311yescharacteristic
1005#440—731no—
1006#440—731no—
1007#440—731no—
1008C4×SD16—731no—
1009C4×D8—731no—
1010C4×D8—731no—
1011C4×D8—731no—
1012#435—731no—
1013#435—731no—
1014#435—731no—
1015#435C2×D7311yescharacteristic
1016C8×D4—731no—
1017C8×D4—731no—
1018#433—731no—
1019#433—731no—
1020#432—731no—
1021#428—731no—
1022#428—731no—
1023#427—731no—
1024#427—731no—
1025#427—731no—
1026C2×#107—731no—
1027#424—731no—
1028#424—731no—
1029C2×C4⋊C8—731no—
1030#418—731no—
1031#417C2×D7311yescharacteristic
1032#416—731no—
1033#416—731no—
1034#416—731no—
1035C2×#102C2×D7311yescharacteristic
1036C2×#41—21no—
1037C2×#41—731no—
1038C2×#41—1461no—
1039C2×#41C22×D7311yescharacteristic
1040C22×Q8—1461no—
1041C22×D4C22×D7311yescharacteristic
1042C2×SD16—731no—
1043C2×SD16—731no—
1044C2×SD16—731no—
1045C2×SD16C22×D7311yescharacteristic
1046C2×D8—731no—
1047C2×D8—731no—
1048C2×D8C22×D7311yescharacteristic
1049C2×D8C22×D7311yescharacteristic
1050C2×M16—731no—
1051C2×M16C22×D7311yescharacteristic
1052C22×C8—731no—
1053C22×C8—731no—
1054C22×C8—731no—
1055C22×C8C22×D7311yescharacteristic
1056C4⋊Q8—731no—
1057C4⋊Q8—731no—
1058C4⋊Q8—731no—
1059C4⋊Q8—731no—
1060C4⋊Q8—731no—
1061C4⋊Q8—731no—
1062C4⋊Q8—1461no—
1063C4⋊Q8—1461no—
1064C4⋊Q8C22×D7311yescharacteristic
1065#127—731no—
1066#126—731no—
1067#126—731no—
1068#126—1461no—
1069#126—1461no—
1070#126—1461no—
1071#126—1461no—
1072#126—1461no—
1073#126—1461no—
1074#126—1461no—
1075#126—1461no—
1076#126—1461no—
1077#126—1461no—
1078#126—1461no—
1079#126—1461no—
1080#125—731no—
1081#125—731no—
1082#125—731no—
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#124—731no—
1093#124—731no—
1094#124—1461no—
1095#124—1461no—
1096#124—1461no—
1097#124—1461no—
1098#124—1461no—
1099#124—1461no—
1100#124—1461no—
1101#124—1461no—
1102#124—1461no—
1103#124C22×D7311yescharacteristic
1104#123—21no—
1105#123—21no—
1106#123—21no—
1107#123—731no—
1108#123—731no—
1109#123—1461no—
1110#123—1461no—
1111#123—1461no—
1112#123—1461no—
1113#123—1461no—
1114#123—1461no—
1115#123—1461no—
1116#123—1461no—
1117#123—1461no—
1118#123—1461no—
1119#123—1461no—
1120#123—1461no—
1121#123—1461no—
1122C22⋊Q8—21no—
1123C22⋊Q8—731no—
1124C22⋊Q8—731no—
1125C22⋊Q8—731no—
1126C22⋊Q8—731no—
1127C22⋊Q8—1461no—
1128C22⋊Q8—1461no—
1129C22⋊Q8—1461no—
1130C22⋊Q8—1461no—
1131C22⋊Q8—1461no—
1132C22⋊Q8—1461no—
1133C22⋊Q8—1461no—
1134C22⋊Q8—1461no—
1135C22⋊Q8—1461no—
1136C22⋊Q8—1461no—
1137C22⋊Q8—1461no—
1138C22⋊Q8—1461no—
1139C22⋊Q8—1461no—
1140C22⋊Q8—1461no—
1141C22⋊Q8—1461no—
1142C22⋊Q8—1461no—
1143C22⋊Q8—1461no—
1144C22⋊Q8C22×D7311yescharacteristic
1145#121—21no—
1146#121—731no—
1147#121—731no—
1148#121—731no—
1149#121—731no—
1150#121—731no—
1151#121—731no—
1152#121—1461no—
1153#121—1461no—
1154#121—1461no—
1155#121—1461no—
1156#121—1461no—
1157#121—1461no—
1158#121—1461no—
1159#121—1461no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121C22×D7311yescharacteristic
1166#121C22×D7311yescharacteristic
1167#121C22×D7311yescharacteristic
1168#120—21no—
1169#120—1461no—
1170C4×Q8—731no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—1461no—
1176C4×Q8—1461no—
1177C4×Q8—1461no—
1178C4×D4—731no—
1179C4×D4—731no—
1180C4×D4—731no—
1181C4×D4—731no—
1182C4×D4—731no—
1183C4×D4—731no—
1184C4×D4—731no—
1185C4×D4—731no—
1186C4×D4—731no—
1187C4×D4—731no—
1188C4×D4—731no—
1189C4×D4—731no—
1190C4×D4—1461no—
1191C4×D4—1461no—
1192C4×D4—1461no—
1193C4×D4—1461no—
1194C4×D4—1461no—
1195C4×D4—1461no—
1196C4×D4—1461no—
1197C4×D4—1461no—
1198C4×D4—1461no—
1199C4×D4—1461no—
1200C4×D4—1461no—
1201C4×D4C22×D7311yescharacteristic
1202C4×D4C22×D7311yescharacteristic
1203C4×D4C22×D7311yescharacteristic
1204#117—731no—
1205#117—731no—
1206#117—731no—
1207#117—731no—
1208#117—731no—
1209#117—731no—
1210#117—731no—
1211#117—731no—
1212#117—1461no—
1213#117—1461no—
1214#117—1461no—
1215#117—1461no—
1216#117—1461no—
1217#117—1461no—
1218#117—1461no—
1219#117—1461no—
1220C2×C4⋊C4—731no—
1221C2×C4⋊C4—1461no—
1222C2×C4⋊C4—1461no—
1223C2×C4⋊C4—1461no—
1224C2×C4⋊C4—1461no—
1225C2×C4⋊C4C22×D7311yescharacteristic
1226C2×C4⋊C4C22×D7311yescharacteristic
1227C2×C22⋊C4—21no—
1228C2×C22⋊C4—1461no—
1229C2×C22⋊C4—1461no—
1230C2×C22⋊C4—1461no—
1231C2×C42—731no—
1232C2×C42—1461no—
1233#107—731no—
1234#107—731no—
1235#107—731no—
1236#107—731no—
1237#107—731no—
1238#107—731no—
1239#107—731no—
1240#107—731no—
1241#107—731no—
1242#107—731no—
1243#107—731no—
1244#107—731no—
1245#106—731no—
1246#106—731no—
1247#106—731no—
1248#106—731no—
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106—731no—
1254#106C22×D7311yescharacteristic
1255#106C22×D7311yescharacteristic
1256#106C22×D7311yescharacteristic
1257C4⋊C8—731no—
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⋊C8C22×D7311yescharacteristic
1267#103—731no—
1268#103—731no—
1269#103—731no—
1270#103—731no—
1271#103—731no—
1272#103—731no—
1273#103—731no—
1274#103—731no—
1275#103—731no—
1276#103C22×D7311yescharacteristic
1277#103C22×D7311yescharacteristic
1278#103C22×D7311yescharacteristic
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#102C22×D7311yescharacteristic
1293#102C22×D7311yescharacteristic
1294#102C22×D7311yescharacteristic
1295#102C22×D7311yescharacteristic
1296#102C22×D7311yescharacteristic
1297#102C22×D7311yescharacteristic
1298#102C22×D7311yescharacteristic
1299C22⋊C8—731no—
1300C22⋊C8—731no—
1301C22⋊C8—731no—
1302C22⋊C8—731no—
1303C22⋊C8C22×D7311yescharacteristic
1304C22⋊C8C22×D7311yescharacteristic
1305#97—731no—
1306#97—731no—
1307#97—731no—
1308#97C22×D7311yescharacteristic
1309C4×C8—731no—
1310C4×C8—731no—
1311C24—21no—
1312#41—22no—
1313#41—41no—
1314#41—82no—
1315#41—2921no—
1316#41—5842no—
1317#41—1462no—
1318C2×Q8—21no—
1319C2×Q8—5842no—
1320C2×Q8—731no—
1321C2×Q8—731no—
1322C2×Q8—1461no—
1323C2×Q8—1461no—
1324C2×Q8—1461no—
1325C2×Q8—1461no—
1326C2×Q8—1461no—
1327C2×Q8C23×D7311yescharacteristic
1328C2×D4—22no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—21no—
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—41no—
1335C2×D4—731no—
1336C2×D4—731no—
1337C2×D4—731no—
1338C2×D4—1461no—
1339C2×D4—1461no—
1340C2×D4—1461no—
1341C2×D4—1461no—
1342C2×D4—1461no—
1343C2×D4—1461no—
1344C2×D4—1461no—
1345C2×D4—1461no—
1346C2×D4D4×D7311yescharacteristic
1347C2×D4C23×D7311yescharacteristic
1348C2×D4C23×D7311yescharacteristic
1349C2×D4C23×D7311yescharacteristic
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—731no—
1356C22×C4—731no—
1357C22×C4—731no—
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×C4—1461no—
1370C22×C4C23×D7311yescharacteristic
1371C22×C4C23×D7311yescharacteristic
1372SD16—41no—
1373SD16—2921no—
1374SD16—2921no—
1375SD16—2921no—
1376D8—22no—
1377D8—41no—
1378D8—2921no—
1379D8—1462no—
1380M16—41no—
1381M16—2921no—
1382C2×C8—41no—
1383C2×C8—2921no—
1384C2×C8—2921no—
1385C2×C8—2921no—
1386C2×C8—731no—
1387C2×C8—731no—
1388C2×C8—731no—
1389C2×C8—731no—
1390C2×C8C23×D7311yescharacteristic
1391C2×C8C23×D7311yescharacteristic
1392C2×C8C23×D7311yescharacteristic
1393C2×C8C23×D7311yescharacteristic
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—731no—
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—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⋊C4—1461no—
1436C4⋊C4—1461no—
1437C4⋊C4—1461no—
1438C4⋊C4—1461no—
1439C4⋊C4—1461no—
1440C4⋊C4D4×D7311yescharacteristic
1441C4⋊C4C23×D7311yescharacteristic
1442C4⋊C4C23×D7311yescharacteristic
1443C4⋊C4C23×D7311yescharacteristic
1444C4⋊C4C23×D7311yescharacteristic
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
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⋊C4D4×D7311yescharacteristic
1488C22⋊C4D4×D7311yescharacteristic
1489C42—731no—
1490C42—731no—
1491C42—731no—
1492C42—731no—
1493C42—731no—
1494C42—1461no—
1495C42—1461no—
1496C42—1461no—
1497C42—1461no—
1498C42—1461no—
1499C42—1461no—
1500C42—1461no—
1501C42—1461no—
1502C42—1461no—
1503C42—1461no—
1504C42C23×D7311yescharacteristic
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—42no—
1509C23—81no—
1510C23—81no—
1511C23—731no—
1512C23—1461no—
1513C23C2×D4×D7311yescharacteristic
1514C23C2×D4×D7311yescharacteristic
1515Q8—21no—
1516Q8—21no—
1517Q8—42no—
1518Q8—2921no—
1519Q8—5841no—
1520Q8—5841no—
1521Q8—5841no—
1522Q8—5841no—
1523Q8—5841no—
1524Q8—1461no—
1525Q8—1461no—
1526D4—21no—
1527D4—21no—
1528D4—21no—
1529D4—21no—
1530D4—21no—
1531D4—41no—
1532D4—42no—
1533D4—42no—
1534D4—81no—
1535D4—81no—
1536D4—81no—
1537D4—2922no—
1538D4—2921no—
1539D4—2921no—
1540D4—5841no—
1541D4—5841no—
1542D4—5841no—
1543D4—5841no—
1544D4—5841no—
1545D4—5841no—
1546D4—5841no—
1547D4—1461no—
1548D4—1461no—
1549D4#1455663812yes—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—42no—
1560C2×C4—42no—
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—5841no—
1576C2×C4—5841no—
1577C2×C4—5841no—
1578C2×C4—731no—
1579C2×C4—731no—
1580C2×C4—731no—
1581C2×C4—731no—
1582C2×C4—731no—
1583C2×C4—731no—
1584C2×C4—731no—
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×C4—1461no—
1594C2×C4C2×D4×D7311yescharacteristic
1595C2×C4C2×D4×D7311yescharacteristic
1596C2×C4C2×D4×D7311yescharacteristic
1597C2×C4C2×D4×D7311yescharacteristic
1598C2×C4C24×D7311yescharacteristic
1599C8—21no—
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—1461no—
1604C8—1461no—
1605C8—1461no—
1606C8—1461no—
1607C22—21no—
1608C22—21no—
1609C22—22no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—162no—
1623C22—2921no—
1624C22—2921no—
1625C22—2921no—
1626C22—1461no—
1627C22—1461no—
1628C22—1461no—
1629C22C22×D4×D7311yescharacteristic
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—2921no—
1640C4—2921no—
1641C4—2921no—
1642C4—2921no—
1643C4—2921no—
1644C4—2921no—
1645C4—2921no—
1646C4—1461no—
1647C4—1461no—
1648C4—1461no—
1649C4—1461no—
1650C4—1461no—
1651C4—1461no—
1652C4—1461no—
1653C4C2×#1455663811yescharacteristic
1654C4#1798942211yescharacteristic
1655C2—41no—
1656C2—41no—
1657C2—42no—
1658C2—81no—
1659C2—81no—
1660C2—2921no—
1661C2—5841no—
1662C2#2262360211yescharacteristic
1663C2#2262470311yescharacteristic
1664C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3306C2
socleC22×C73C23×D4
hypercenter#3306D73
hypocenterC73#62171
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #22624308C2semidirect
2. #22623988C2semidirect
3. #22622890C2semidirect
4. #22622825C2semidirect
5. #22622755C2semidirect
6. #22622646C2semidirect
7. #22622479C2semidirect
8. #22622448C2semidirect
9. #22622426C2semidirect
10. #22622365C2semidirect
11. #22622339C2semidirect
12. #22622331C2semidirect
13. #22622087C2semidirect
14. #22622080C2semidirect
15. #22621908C2semidirect
16. #22621852C2semidirect
17. #22621777C2semidirect
18. #22621371C2semidirect
19. #22621343C2semidirect
20. #22621254C2semidirect
21. #22621225C2semidirect
22. #22621195C2semidirect
23. #22621168C2semidirect
24. #22620168C2semidirect
25. #22620131C2semidirect
26. #22620078C2semidirect
27. #22619786C2semidirect
28. #22619758C2semidirect
29. #22619720C2semidirect
30. #22619066C2semidirect
31. C73×#3306C2semidirect
38. #17989301C22semidirect
40. #17989294C22semidirect
43. #17989285C22semidirect
50. #17989252C22semidirect
55. #17989218C22semidirect
61. #17989190C22semidirect
66. #17989142C22semidirect
67. #17989134C22semidirect
75. #17988996C22semidirect
76. #17988994C22semidirect
77. #17988994C22semidirect
78. #17988993C22semidirect
79. #17988987C22semidirect
80. #17988984C22semidirect
81. #17988954C22semidirect
85. #17988936C22semidirect
87. #17988929C22semidirect
88. #17988927C22semidirect
89. #17988927C22semidirect
92. #17988917C22semidirect
93. #17988913C22semidirect
97. #17988909C22semidirect
100. #17988906C22semidirect
101. #17988898C22semidirect
102. #17988897C22semidirect
103. #17988897C22semidirect
104. #17988892C22semidirect
105. #17988892C22semidirect
106. #17988892C22semidirect
111. #17988889C22semidirect
112. #17988888C22semidirect
113. #17988887C22semidirect
114. #17988886C22semidirect
118. #17988880C22semidirect
119. #17988880C22semidirect
120. #17988879C22semidirect
121. #17988876C22semidirect
124. #17988873C22semidirect
125. #17988871C22semidirect
130. #17988865C22semidirect
132. #17988833C22semidirect
137. #17988819C22semidirect
139. #17988814C22semidirect
140. #17988813C22semidirect
144. #17988791C22semidirect
145. #17988790C22semidirect
146. #17988786C22semidirect
147. #17988785C22semidirect
154. #17988716C22semidirect
155. #17988715C22semidirect
160. #17988690C22semidirect
161. #17988689C22semidirect
162. #17988687C22semidirect
163. SD16×Dic73C22semidirect
169. #17988656C22semidirect
171. #17988650C22semidirect
173. #17988645C22semidirect
174. #17988642C22semidirect
175. #17988629C22semidirect
178. #17988622C22semidirect
179. #17988622C22semidirect
180. C2×#14556524C22semidirect
181. #17988615C22semidirect
183. C4⋊C8×D73C22semidirect
848. #3306D73semidirect
864. C73#62171semidirect

Maximal subgroups

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

subgroupindex
#226243082
#226239882
#226228902
#226228252
#226227552
#226226462
#226224792
#226224482
#226224262
#226223652
#226223392
#226223312
#226220872
#226220802
#226219082
#226218522
#226217772
#226213712
#226213432
#226212542
#226212252
#226211952
#226211682
#226201682
#226201312
#226200782
#226197862
#226197582
#226197202
#226190662
C73×#33062
#6217173