Finite Group Databasebeta

← #33982970

Subgroups — #33982970

Order 18688.

1750 conjugacy classes of subgroups.

The subgroup lattice has 1680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624461C211yesmaximal, characteristic, complemented
2#22623978C211yesmaximal, characteristic, complemented
3#22622834C211yesmaximal, characteristic, complemented
4#22622825C211yesmaximal, characteristic, complemented
5#22622762C211yesmaximal, characteristic, complemented
6#22622755C211yesmaximal, characteristic, complemented
7#22622413C211yesmaximal, characteristic, complemented
8#22622411C211yesmaximal, characteristic, complemented
9#22622407C211yesmaximal, characteristic, complemented
10#22622396C211yesmaximal, characteristic, complemented
11#22622285C211yesmaximal, characteristic, complemented
12#22622283C211yesmaximal, characteristic, complemented
13#22621913C211yesmaximal, characteristic, complemented
14#22621902C211yesmaximal, characteristic, complemented
15#22621899C211yesmaximal, characteristic, complemented
16#22621887C211yesmaximal, characteristic, complemented
17#22621788C211yesmaximal, characteristic, complemented
18#22621776C211yesmaximal, characteristic, complemented
19#22621338C211yesmaximal, characteristic, complemented
20#22621245C211yesmaximal, characteristic, complemented
21#22621228C211yesmaximal, characteristic, complemented
22#22621223C211yesmaximal, characteristic, complemented
23#22621135C211yesmaximal, characteristic, complemented
24#22620129C211yesmaximal, characteristic, complemented
25#22620124C211yesmaximal, characteristic, complemented
26#22620021C211yesmaximal, characteristic, complemented
27#22619796C211yesmaximal, characteristic, complemented
28#22619795C211yesmaximal, characteristic, complemented
29#478×D73C211yesmaximal, characteristic, complemented
30#22619068C211yesmaximal, characteristic, complemented
31C73×#3257C211yesmaximal, characteristic, complemented
32#17989340—21no—
33#17989332—21no—
34#17989306C2211yescharacteristic
35#17989298C2211yescharacteristic
36#17989296C2211yescharacteristic, complemented
37#17989295C2211yescharacteristic
38#17989294C2211yescharacteristic, complemented
39#17989289C2211yescharacteristic, complemented
40#17989287C2211yescharacteristic
41#17989284C2211yescharacteristic
42#17989284C2211yescharacteristic, complemented
43#17989273—21no—
44#17989267—21no—
45#17989262—21no—
46#17989252C2211yescharacteristic
47#17989245—21no—
48#17989242C2211yescharacteristic
49#17989239C2211yescharacteristic
50#17989237—21no—
51#17989237C2211yescharacteristic
52#17989237C2211yescharacteristic
53#17989235—21no—
54#17989234C2211yescharacteristic
55#17989230C2211yescharacteristic
56#17989217C2211yescharacteristic, complemented
57#17989215C2211yescharacteristic, complemented
58#17989202C2211yescharacteristic
59#17989191C2211yescharacteristic, complemented
60#17989183—21no—
61#17989182—21no—
62#17989181—21no—
63#17989180—21no—
64#17989180—21no—
65#17989166—21no—
66#17989141C2211yescharacteristic
67#17989135C2211yescharacteristic
68#17989115C2211yescharacteristic
69#125×D73C2211yescharacteristic
70#17989095—21no—
71C22⋊Q8×D73—21no—
72#17989069C2211yescharacteristic
73#17989067C2211yescharacteristic
74C4×D4×D73C2211yescharacteristic
75#17988995C2211yescharacteristic, complemented
76#17988995C2211yescharacteristic, complemented
77#17988994C2211yescharacteristic, complemented
78#17988993C2211yescharacteristic, complemented
79#17988984C2211yescharacteristic, complemented
80#17988983C2211yescharacteristic, complemented
81#17988954C2211yescharacteristic, complemented
82#17988954C2211yescharacteristic, complemented
83#17988946C2211yescharacteristic
84#17988945C2211yescharacteristic
85#17988941C2211yescharacteristic
86#17988940C2211yescharacteristic
87#17988930C2211yescharacteristic, complemented
88#17988925C2211yescharacteristic, complemented
89#17988924C2211yescharacteristic
90#17988921C2211yescharacteristic
91#17988919C2211yescharacteristic
92#17988919C2211yescharacteristic, complemented
93#17988916C2211yescharacteristic
94#17988915C2211yescharacteristic, complemented
95#17988910C2211yescharacteristic
96#17988908C2211yescharacteristic
97#17988904C2211yescharacteristic
98#17988904C2211yescharacteristic
99#17988904C2211yescharacteristic
100#17988904C2211yescharacteristic, complemented
101#17988903C2211yescharacteristic
102#17988903C2211yescharacteristic, complemented
103#17988899C2211yescharacteristic, complemented
104#17988898C2211yescharacteristic, complemented
105#17988895C2211yescharacteristic, complemented
106#17988895C2211yescharacteristic, complemented
107#17988894C2211yescharacteristic, complemented
108#17988892C2211yescharacteristic, complemented
109#17988891C2211yescharacteristic, complemented
110#17988890C2211yescharacteristic
111#17988890C2211yescharacteristic
112#17988889C2211yescharacteristic
113#17988888C2211yescharacteristic
114#17988888C2211yescharacteristic
115#17988887C2211yescharacteristic
116#17988886C2211yescharacteristic
117#17988885C2211yescharacteristic
118#17988884C2211yescharacteristic
119#17988878C2211yescharacteristic
120#17988878C2211yescharacteristic
121#17988877C2211yescharacteristic
122#17988876C2211yescharacteristic
123#17988875C2211yescharacteristic, complemented
124#17988875C2211yescharacteristic, complemented
125#17988875C2211yescharacteristic, complemented
126#17988873C2211yescharacteristic, complemented
127#17988873C2211yescharacteristic, complemented
128#17988872C2211yescharacteristic, complemented
129#17988870C2211yescharacteristic, complemented
130#17988865C2211yescharacteristic, complemented
131#17988837C2211yescharacteristic
132#17988832C2211yescharacteristic, complemented
133#17988820C2211yescharacteristic
134#17988815C2211yescharacteristic
135#17988815C2211yescharacteristic
136#17988815C2211yescharacteristic, complemented
137#17988813C2211yescharacteristic
138#17988813C2211yescharacteristic
139#17988800C2211yescharacteristic
140#17988800C2211yescharacteristic
141#17988790C2211yescharacteristic, complemented
142#17988790C2211yescharacteristic, complemented
143#17988784C2211yescharacteristic, complemented
144#17988779C2211yescharacteristic
145#17988731C2211yescharacteristic
146#17988731C2211yescharacteristic
147#17988730C2211yescharacteristic
148#17988730C2211yescharacteristic
149#17988719C2211yescharacteristic
150#17988719C2211yescharacteristic
151#17988716C2211yescharacteristic, complemented
152#17988714C2211yescharacteristic, complemented
153#17988699C2211yescharacteristic
154#17988699C2211yescharacteristic
155#17988697C2211yescharacteristic
156#17988696C2211yescharacteristic
157#17988696C2211yescharacteristic
158#17988696C2211yescharacteristic
159#17988688C2211yescharacteristic, complemented
160#17988687C2211yescharacteristic, complemented
161SD16×Dic73C2211yescharacteristic, complemented
162C4×#11924016C2211yescharacteristic, complemented
163C4×#11924013C2211yescharacteristic
164#17988667C2211yescharacteristic
165#17988658C2211yescharacteristic, complemented
166#17988657C2211yescharacteristic
167#17988656C2211yescharacteristic
168#17988656C2211yescharacteristic, complemented
169#17988652C2211yescharacteristic
170C8×C22⋊D73C2211yescharacteristic
171#17988648C2211yescharacteristic, complemented
172#17988647C2211yescharacteristic, complemented
173#17988643C2211yescharacteristic
174#17988629C2211yescharacteristic, complemented
175#17988628C2211yescharacteristic, complemented
176#107×D73C2211yescharacteristic
177C2×#14556523C2211yescharacteristic, complemented
178#106×D73C2211yescharacteristic
179#106×D73C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic
182#17988589C2211yescharacteristic
183#17988587C2211yescharacteristic
184#17988584C2211yescharacteristic
185#17988582C2211yescharacteristic
186#102×D73C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#542×C73C2211yescharacteristic
189#540×C73C2211yescharacteristic, complemented
190#479×C73C2211yescharacteristic, complemented
191#478×C73C2211yescharacteristic
192#476×C73C2211yescharacteristic, complemented
193#474×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic
195#468×C73C2211yescharacteristic, complemented
196#466×C73C2211yescharacteristic
197#465×C73C2211yescharacteristic, complemented
198#463×C73C2211yescharacteristic
199#463×C73C2211yescharacteristic
200#460×C73C2211yescharacteristic, complemented
201#459×C73C2211yescharacteristic
202#424×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C2×#11924027—21no—
208C2×#11924027—21no—
209C2×Q8×D73—21no—
210C2×D4×D73C2311yescharacteristic
211C22×C4×D73—21no—
212C2×#11924016C2311yescharacteristic
213C2×#11924016C2311yescharacteristic
214C2×#11924013C2311yescharacteristic
215C2×#11924013C2311yescharacteristic
216C2×#11924011C2311yescharacteristic
217C2×C8×D73C2311yescharacteristic
218C2×C8×D73C2311yescharacteristic
219C2×C8×D73C2311yescharacteristic
220#14556591C2311yescharacteristic
221#14556591C2311yescharacteristic
222#14556590—21no—
223#14556590—21no—
224#14556590C2311yescharacteristic
225#14556590C2311yescharacteristic
226#14556590C2311yescharacteristic
227#14556589C2311yescharacteristic
228#14556586D411yescharacteristic
229#14556584—21no—
230#14556584—21no—
231#14556584—21no—
232#14556584—21no—
233#14556584—21no—
234#14556584—21no—
235#14556584—21no—
236#14556584D411yescharacteristic
237#14556583C2311yescharacteristic
238#14556583C2311yescharacteristic
239#14556582—21no—
240#14556582—21no—
241#14556582C2311yescharacteristic
242#14556582C2311yescharacteristic
243#14556582C2311yescharacteristic
244#14556581—21no—
245#14556581—21no—
246#14556581—21no—
247#14556581—21no—
248#14556581—21no—
249#14556581D411yescharacteristic
250#14556578—21no—
251#14556578C2311yescharacteristic
252#14556577—21no—
253#14556577D411yescharacteristic
254#14556576—21no—
255#14556576D411yescharacteristic
256#14556575—21no—
257#14556574—21no—
258#14556574—21no—
259#14556573—21no—
260#14556573—21no—
261#14556573—21no—
262#14556573—21no—
263#14556573—21no—
264#14556573—21no—
265#14556573—21no—
266#14556573D411yescharacteristic
267#14556572—21no—
268#14556572—21no—
269#14556572—21no—
270#14556572—21no—
271#14556572—21no—
272#14556572—21no—
273#14556571—21no—
274#14556571—21no—
275#14556571C2311yescharacteristic
276#14556571C2311yescharacteristic
277#14556570—21no—
278#14556570—21no—
279#14556570—21no—
280#14556570—21no—
281#14556569—21no—
282#14556569—21no—
283#14556569—21no—
284#14556569—21no—
285#14556569D411yescharacteristic
286#14556568—21no—
287#14556568—21no—
288#14556568—21no—
289#14556568—21no—
290#14556568—21no—
291#14556568—21no—
292#14556568—21no—
293#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556567—21no—
297#14556567—21no—
298#14556567—21no—
299#14556567C2311yescharacteristic
300#14556564—21no—
301#14556564—21no—
302#14556564—21no—
303#14556564D411yescharacteristic
304#14556563—21no—
305#14556563—21no—
306#14556563—21no—
307#14556562—21no—
308#14556562—21no—
309#14556562—21no—
310#14556562—21no—
311#14556562C2311yescharacteristic
312#14556562C2311yescharacteristic
313#14556562C2311yescharacteristic
314#14556562C2311yescharacteristic
315#14556562C2311yescharacteristic
316#14556561—21no—
317#14556559—21no—
318Q8×Dic73C2311yescharacteristic
319C4×Dic146—21no—
320C4×Dic146C2311yescharacteristic
321C4×Dic146C2311yescharacteristic
322C4×Dic146C2311yescharacteristic
323C4×D292—21no—
324C4×D292C2311yescharacteristic
325C4×D292C2311yescharacteristic
326C4×D292C2311yescharacteristic
327D4×Dic73—21no—
328D4×Dic73—21no—
329D4×Dic73C2311yescharacteristic
330D4×Dic73C2311yescharacteristic
331D4×Dic73C2311yescharacteristic
332D4×Dic73C2311yescharacteristic
333D4×Dic73C2311yescharacteristic
334#14556553—21no—
335#14556553—21no—
336#14556553C2311yescharacteristic
337#14556553C2311yescharacteristic
338C4×C22⋊D73—21no—
339C4×C22⋊D73—21no—
340C4×C22⋊D73C2311yescharacteristic
341C4×C22⋊D73C2311yescharacteristic
342#14556551—21no—
343#14556551—21no—
344#14556551—21no—
345#14556551—21no—
346#14556551—21no—
347#14556551—21no—
348#14556550C2311yescharacteristic
349#14556549—21no—
350#14556549C2311yescharacteristic
351#14556548—21no—
352#14556548—21no—
353#14556548C2311yescharacteristic
354#14556547—21no—
355C2×C4⋊Dic73—21no—
356C2×C4⋊Dic73C2311yescharacteristic
357C2×C4⋊Dic73C2311yescharacteristic
358C2×#11924007—21no—
359C4⋊C4×D73—21no—
360C4⋊C4×D73—21no—
361C4⋊C4×D73—21no—
362C4⋊C4×D73—21no—
363C4⋊C4×D73—21no—
364C4⋊C4×D73C2311yescharacteristic
365C4⋊C4×D73C2311yescharacteristic
366C4⋊C4×D73C2311yescharacteristic
367C4⋊C4×D73C2311yescharacteristic
368C4⋊C4×D73C2311yescharacteristic
369C22⋊C4×D73—21no—
370C22⋊C4×D73—21no—
371C22⋊C4×D73—21no—
372C42×D73C2311yescharacteristic
373#14556525C2311yescharacteristic
374#14556525C2311yescharacteristic
375#14556524C2311yescharacteristic
376#14556524C2311yescharacteristic
377#14556524C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556523C2311yescharacteristic
380#14556523C2311yescharacteristic
381#14556523C2311yescharacteristic
382#14556523C2311yescharacteristic
383#14556523C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556522C2311yescharacteristic
386#14556522C2311yescharacteristic
387#14556522C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393C4⋊#10596831C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423C22⋊#10596831C2311yescharacteristic
424C22⋊#10596831C2311yescharacteristic
425#14556503C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C4×#10596831C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C2×SD16×C73C2311yescharacteristic
436C2×SD16×C73C2311yescharacteristic
437C2×D8×C73C2311yescharacteristic
438C2×D8×C73C2311yescharacteristic
439C2×M16×C73C2311yescharacteristic
440C22×C8×C73C2311yescharacteristic
441C4⋊Q8×C73C2311yescharacteristic
442#127×C73C2311yescharacteristic
443#126×C73—21no—
444#125×C73C2311yescharacteristic
445#124×C73—21no—
446#124×C73C2311yescharacteristic
447#123×C73—21no—
448#123×C73—21no—
449#123×C73—21no—
450C22⋊Q8×C73—21no—
451C22⋊Q8×C73C2311yescharacteristic
452#121×C73—21no—
453#121×C73—21no—
454#121×C73C2311yescharacteristic
455#121×C73C2311yescharacteristic
456#121×C73C2311yescharacteristic
457C4×Q8×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461#117×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#106×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466C4⋊C8×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469C4⋊C8×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C23×D73—21no—
479#11924029—22no—
480#11924029—41no—
481#11924028—22no—
482#11924028—41no—
483#11924028—82no—
484#11924027—82no—
485#11924027—82no—
486#11924027—82no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146C2×D411yescharacteristic
493C2×Dic146C2411yescharacteristic
494Q8×D73—82no—
495C2×D292—21no—
496C2×D292C2×D411yescharacteristic
497C2×D292C2411yescharacteristic
498C2×C22⋊D73—21no—
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73C2×D411yescharacteristic
506C2×C22⋊D73C2×D411yescharacteristic
507D4×D73—22no—
508D4×D73—41no—
509C22×Dic73—21no—
510C22×Dic73—21no—
511C22×Dic73—21no—
512C22×Dic73—21no—
513C22×Dic73—21no—
514C22×Dic73—21no—
515C22×Dic73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—82no—
528C2×C4×D73C2×D411yescharacteristic
529C2×C4×D73C2×D411yescharacteristic
530C2×C4×D73C2411yescharacteristic
531C2×C4×D73C2411yescharacteristic
532#11924016—41no—
533#11924016—41no—
534#11924013—22no—
535#11924013—22no—
536#11924011—41no—
537C2×#10596831C2411yescharacteristic
538C2×#10596831C2411yescharacteristic
539C2×#10596831C2411yescharacteristic
540C2×#10596831C2411yescharacteristic
541C8×D73—41no—
542C8×D73—41no—
543C8×D73—41no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73—21no—
550C4⋊Dic73—21no—
551C4⋊Dic73—21no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73C2×D411yescharacteristic
555C4⋊Dic73C2×D411yescharacteristic
556C4⋊Dic73C2411yescharacteristic
557C4⋊Dic73C2411yescharacteristic
558C4⋊Dic73C2411yescharacteristic
559C4⋊Dic73C2411yescharacteristic
560C4⋊Dic73C2411yescharacteristic
561C4⋊Dic73C2411yescharacteristic
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007C2×D411yescharacteristic
583#11924007C2×D411yescharacteristic
584#11924007C2×D411yescharacteristic
585#11924007C2×D411yescharacteristic
586#11924007C2×D411yescharacteristic
587#11924007C2×D411yescharacteristic
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73C2×D411yescharacteristic
602C22⋊Dic73C2×D411yescharacteristic
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005C2×D411yescharacteristic
612#11924005C2×D411yescharacteristic
613#11924005C2×D411yescharacteristic
614#11924005C2×D411yescharacteristic
615#11924005C2×D411yescharacteristic
616#11924005C2×D411yescharacteristic
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73—21no—
622C4×Dic73C2×D411yescharacteristic
623C4×Dic73C2×D411yescharacteristic
624C4×Dic73C2411yescharacteristic
625C4×Dic73C2411yescharacteristic
626C2×Q8×C73—21no—
627C2×Q8×C73C2411yescharacteristic
628C2×D4×C73—21no—
629C2×D4×C73—21no—
630C2×D4×C73—21no—
631C2×D4×C73—21no—
632C2×D4×C73—21no—
633C2×D4×C73C2411yescharacteristic
634C2×D4×C73C2411yescharacteristic
635C2×D4×C73C2411yescharacteristic
636C22×C4×C73—21no—
637C22×C4×C73—21no—
638C22×C4×C73—21no—
639C22×C4×C73C2411yescharacteristic
640SD16×C73—41no—
641SD16×C73—41no—
642D8×C73—41no—
643D8×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×C73C2×D411yescharacteristic
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×C73—21no—
670C22⋊C4×C73C2×D411yescharacteristic
671C22⋊C4×C73C2×D411yescharacteristic
672C42×C73—21no—
673C42×C73C2411yescharacteristic
674C42×C73C2411yescharacteristic
675C23×C73—21no—
676C23×C73—21no—
677C23×C73—21no—
678C23×C73C22×D411yescharacteristic
679C22×D73—21no—
680C22×D73—42no—
681C22×D73—42no—
682C22×D73—81no—
683C22×D73C22×D411yescharacteristic
684C22×D73C22×D411yescharacteristic
685Q8×C73—21no—
686Q8×C73—21no—
687Q8×C73—81no—
688D4×C73—21no—
689D4×C73—21no—
690D4×C73—21no—
691D4×C73—21no—
692D4×C73—21no—
693D4×C73—21no—
694D4×C73—81no—
695D4×C73—81no—
696D4×C73—81no—
697D4×C73—81no—
698D4×C73—81no—
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—81no—
707C2×C4×C73—81no—
708C2×C4×C73—81no—
709C2×C4×C73C22×D411yescharacteristic
710C2×C4×C73C22×D411yescharacteristic
711C2×C4×C73C22×D411yescharacteristic
712C2×C4×C73C22×D411yescharacteristic
713C2×C4×C73C22×D411yescharacteristic
714C2×C4×C73C2511yescharacteristic
715C22⋊D73—22no—
716C22⋊D73—41no—
717C22⋊D73—42no—
718C22⋊D73—42no—
719C22⋊D73—42no—
720C22⋊D73—42no—
721C22⋊D73—81no—
722C22⋊D73—81no—
723C22⋊D73—81no—
724C2×Dic73—21no—
725C2×Dic73—21no—
726C2×Dic73—21no—
727C2×Dic73—21no—
728C2×Dic73—21no—
729C2×Dic73—21no—
730C2×Dic73—21no—
731C2×Dic73—42no—
732C2×Dic73—81no—
733C2×Dic73—81no—
734C2×Dic73—81no—
735C2×Dic73—81no—
736C2×Dic73—81no—
737C2×Dic73—81no—
738C2×Dic73C22×D411yescharacteristic
739C2×Dic73C22×D411yescharacteristic
740C2×Dic73C22×D411yescharacteristic
741C2×Dic73C22×D411yescharacteristic
742C2×Dic73C22×D411yescharacteristic
743C2×Dic73C22×D411yescharacteristic
744D292—22no—
745D292—21no—
746D292—42no—
747D2922−1+412yes—
748C4×D73—22no—
749C4×D73—21no—
750C4×D73—21no—
751C4×D73—21no—
752C4×D73—21no—
753C4×D73—41no—
754C4×D73—42no—
755C4×D73—42no—
756C4×D73—42no—
757C4×D73—42no—
758C4×D73—81no—
759C4×D73—81no—
760C4×D73—81no—
761C4×D73—81no—
762C4×D73—81no—
763C4×D73—81no—
764C4×D73—81no—
765Dic146—21no—
766Dic146—21no—
767Dic146—41no—
768Dic146—42no—
769Dic146—81no—
770Dic146—81no—
771Dic146—81no—
772Dic146—81no—
773C8×C73—21no—
774C8×C73—21no—
775C8×C73—21no—
776C8×C73—21no—
777#10596831—21no—
778#10596831—21no—
779#10596831—21no—
780#10596831—21no—
781C22×C73—21no—
782C22×C73—21no—
783C22×C73—21no—
784C22×C73—41no—
785C22×C73—41no—
786C22×C73—41no—
787C22×C73—41no—
788C22×C73—41no—
789C22×C73—41no—
790C22×C73—41no—
791C22×C73—41no—
792C22×C73—41no—
793C22×C73C23×D411yescharacteristic
794C2×D73—21no—
795C2×D73—21no—
796C2×D73—21no—
797C2×D73—21no—
798C2×D73—22no—
799C2×D73—21no—
800C2×D73—41no—
801C2×D73—41no—
802C2×D73—84no—
803C2×D73#57712yes—
804C4×C73—21no—
805C4×C73—21no—
806C4×C73—21no—
807C4×C73—21no—
808C4×C73—21no—
809C4×C73—41no—
810C4×C73—41no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73C2×2−1+411yescharacteristic
815C4×C73#58511yescharacteristic
816Dic73—21no—
817Dic73—21no—
818Dic73—21no—
819Dic73—21no—
820Dic73—21no—
821Dic73—21no—
822Dic73—41no—
823Dic73—41no—
824Dic73—41no—
825Dic73—41no—
826Dic73—41no—
827Dic73—41no—
828Dic73—41no—
829#62166—731nomaximal, Sylow
830C2×C73—41no—
831C2×C73—81no—
832C2×C73—81no—
833C2×C73—81no—
834C2×C73#348911yescharacteristic
835C2×C73C2×#57711yescharacteristic
836C2×C73#358511yescharacteristic
837D73—22no—
838D73—41no—
839D73—42no—
840#3559—731no—
841#3520—731no—
842#3384—731no—
843#3384—731no—
844#3376—731no—
845#3376—731no—
846#3346—731no—
847#3346—731no—
848#3345—731no—
849#3345—731no—
850#3335—731no—
851#3335—731no—
852#3307—731no—
853#3307—731no—
854#3306—731no—
855#3306—731no—
856#3297—731no—
857#3297—731no—
858#3257—731no—
859#3257D7311yescharacteristic, complemented
860#3246—731no—
861#3244—731no—
862#3244—731no—
863#3236—731no—
864#3119—731no—
865#3119—731no—
866#3109—731no—
867#3084—731no—
868#3084—731no—
869C2×#478—731no—
870#2992—731no—
871C73#6216611yescharacteristic, complemented, Sylow
872#563—1461no—
873#562—1461no—
874#556—731no—
875#554—731no—
876#554—731no—
877#554—731no—
878#554—731no—
879#553—731no—
880#553—731no—
881#553—731no—
882#553—731no—
883#552—1461no—
884#551—1461no—
885#551—1461no—
886D4×Q8—731no—
887#548—1461no—
888#547—731no—
889#547—731no—
890#547—731no—
891#547—731no—
892#547—1461no—
893#547—1461no—
894#546—731no—
895#546—731no—
896#544—731no—
897#544—731no—
898#542—731no—
899#542C2×D7311yescharacteristic
900#540—731no—
901#540C2×D7311yescharacteristic, complemented
902#539—1461no—
903#539—1461no—
904#539—1461no—
905#539—1461no—
906#539—1461no—
907#537—1461no—
908#533—731no—
909#532—731no—
910#529—731no—
911C2×#125—731no—
912#525—1461no—
913C2×C22⋊Q8—1461no—
914#520—731no—
915#520—731no—
916C2×C4×D4—731no—
917#501—731no—
918#501—731no—
919#501—731no—
920#501—731no—
921#498—731no—
922#498—731no—
923#491—731no—
924#491—731no—
925#489—731no—
926#489—731no—
927#488—731no—
928#488—731no—
929#485—731no—
930#485—731no—
931#484—731no—
932#484—731no—
933#483—731no—
934#483—731no—
935#483—731no—
936#483—731no—
937#482—731no—
938#482—731no—
939#481—731no—
940#481—731no—
941#481—731no—
942#481—731no—
943#481—731no—
944#481—731no—
945#480—731no—
946#480—731no—
947#479—731no—
948#479—731no—
949#479—731no—
950#479—731no—
951#479—731no—
952#479C2×D7311yescharacteristic, complemented
953#478—731no—
954#478—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478—731no—
959#478—731no—
960#478—731no—
961#478—731no—
962#478C2×D7311yescharacteristic
963#476—731no—
964#476—731no—
965#476—731no—
966#476—731no—
967#476—731no—
968#476—731no—
969#476—731no—
970#476C2×D7311yescharacteristic, complemented
971#475—731no—
972#475—731no—
973#475—731no—
974#475—731no—
975#474—731no—
976#474C2×D7311yescharacteristic, complemented
977#469—731no—
978#469C2×D7311yescharacteristic
979#468—731no—
980#468C2×D7311yescharacteristic, complemented
981#466—731no—
982#466C2×D7311yescharacteristic
983#465—731no—
984#465—731no—
985#465—731no—
986#465—731no—
987#465—731no—
988#465C2×D7311yescharacteristic, complemented
989#463—731no—
990#463—731no—
991#463C2×D7311yescharacteristic
992#463C2×D7311yescharacteristic
993#461—731no—
994#461—731no—
995#460—731no—
996#460C2×D7311yescharacteristic, complemented
997#459—731no—
998#459C2×D7311yescharacteristic
999#449—731no—
1000#449—731no—
1001#449—731no—
1002#449—731no—
1003#447—731no—
1004#447—731no—
1005#446—731no—
1006#446—731no—
1007#442—731no—
1008#442—731no—
1009#442—731no—
1010#442—731no—
1011#442—731no—
1012#442—731no—
1013#440—731no—
1014#440—731no—
1015C4×SD16—731no—
1016C4×SD16—731no—
1017C4×D8—731no—
1018C4×D8—731no—
1019#435—731no—
1020#435—731no—
1021#435—731no—
1022#435—731no—
1023C8×D4—731no—
1024C8×D4—731no—
1025#433—731no—
1026#433—731no—
1027#432—731no—
1028#428—731no—
1029#428—731no—
1030C2×#107—731no—
1031C2×#106—731no—
1032C2×#106—731no—
1033C2×#106—731no—
1034#424—731no—
1035#424C2×D7311yescharacteristic, complemented
1036C2×C4⋊C8—731no—
1037#417—731no—
1038#417—731no—
1039#416—731no—
1040#416—731no—
1041C2×#102—731no—
1042C2×#102—731no—
1043C2×#41—731no—
1044C2×#41—731no—
1045C2×#41—1461no—
1046C2×#41—1461no—
1047C2×#41—1461no—
1048C2×#41—1461no—
1049C22×Q8—1461no—
1050C22×D4—731no—
1051C23×C4—1461no—
1052C2×SD16—731no—
1053C2×SD16—731no—
1054C2×SD16C22×D7311yescharacteristic
1055C2×SD16C22×D7311yescharacteristic
1056C2×D8—731no—
1057C2×D8—731no—
1058C2×D8C22×D7311yescharacteristic
1059C2×D8C22×D7311yescharacteristic
1060C2×M16—731no—
1061C2×M16C22×D7311yescharacteristic
1062C22×C8—731no—
1063C22×C8—731no—
1064C22×C8—731no—
1065C22×C8C22×D7311yescharacteristic
1066C4⋊Q8—731no—
1067C4⋊Q8—731no—
1068C4⋊Q8—731no—
1069C4⋊Q8—731no—
1070C4⋊Q8—731no—
1071C4⋊Q8—731no—
1072C4⋊Q8—1461no—
1073C4⋊Q8—1461no—
1074C4⋊Q8C22×D7311yescharacteristic
1075#127C22×D7311yescharacteristic
1076#126—21no—
1077#126—731no—
1078#126—731no—
1079#126—1461no—
1080#126—1461no—
1081#126—1461no—
1082#126—1461no—
1083#126—1461no—
1084#126—1461no—
1085#126—1461no—
1086#125—731no—
1087#125—731no—
1088#125—731no—
1089#125—731no—
1090#125—731no—
1091#125—731no—
1092#125—1461no—
1093#125—1461no—
1094#125—1461no—
1095#125—1461no—
1096#125—1461no—
1097#125—1461no—
1098#125—1461no—
1099#125C22×D7311yescharacteristic
1100#124—21no—
1101#124—731no—
1102#124—731no—
1103#124—1461no—
1104#124—1461no—
1105#124C22×D7311yescharacteristic
1106#123—21no—
1107#123—21no—
1108#123—21no—
1109#123—731no—
1110#123—731no—
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—
1122#123—1461no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128C22⋊Q8—21no—
1129C22⋊Q8—731no—
1130C22⋊Q8—731no—
1131C22⋊Q8—731no—
1132C22⋊Q8—731no—
1133C22⋊Q8—1461no—
1134C22⋊Q8—1461no—
1135C22⋊Q8—1461no—
1136C22⋊Q8—1461no—
1137C22⋊Q8—1461no—
1138C22⋊Q8—1461no—
1139C22⋊Q8—1461no—
1140C22⋊Q8—1461no—
1141C22⋊Q8—1461no—
1142C22⋊Q8—1461no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8—1461no—
1154C22⋊Q8—1461no—
1155C22⋊Q8—1461no—
1156C22⋊Q8C22×D7311yescharacteristic
1157#121—21no—
1158#121—21no—
1159#121—731no—
1160#121—731no—
1161#121—731no—
1162#121—731no—
1163#121—731no—
1164#121—731no—
1165#121—1461no—
1166#121—1461no—
1167#121—1461no—
1168#121—1461no—
1169#121—1461no—
1170#121—1461no—
1171#121—1461no—
1172#121—1461no—
1173#121—1461no—
1174#121—1461no—
1175#121C22×D7311yescharacteristic
1176#121C22×D7311yescharacteristic
1177#121C22×D7311yescharacteristic
1178#120—1461no—
1179#120—1461no—
1180C4×Q8—731no—
1181C4×Q8—731no—
1182C4×Q8—731no—
1183C4×Q8—731no—
1184C4×Q8—1461no—
1185C4×Q8C22×D7311yescharacteristic
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—731no—
1195C4×D4—731no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—1461no—
1199C4×D4—1461no—
1200C4×D4—1461no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4—1461no—
1209C4×D4—1461no—
1210C4×D4—1461no—
1211C4×D4C22×D7311yescharacteristic
1212C4×D4C22×D7311yescharacteristic
1213C4×D4C22×D7311yescharacteristic
1214#117—731no—
1215#117—731no—
1216#117—731no—
1217#117—1461no—
1218#117—1461no—
1219#117—1461no—
1220#117—1461no—
1221#117C22×D7311yescharacteristic
1222C2×C4⋊C4—731no—
1223C2×C4⋊C4—731no—
1224C2×C4⋊C4—731no—
1225C2×C4⋊C4—731no—
1226C2×C4⋊C4—731no—
1227C2×C4⋊C4—731no—
1228C2×C4⋊C4—731no—
1229C2×C4⋊C4—1461no—
1230C2×C4⋊C4—1461no—
1231C2×C4⋊C4—1461no—
1232C2×C4⋊C4—1461no—
1233C2×C4⋊C4—1461no—
1234C2×C4⋊C4—1461no—
1235C2×C4⋊C4—1461no—
1236C2×C22⋊C4—1461no—
1237C2×C22⋊C4—1461no—
1238C2×C22⋊C4—1461no—
1239C2×C42—731no—
1240#107—731no—
1241#107—731no—
1242#107—731no—
1243#107—731no—
1244#107—731no—
1245#107—731no—
1246#107C22×D7311yescharacteristic
1247#107C22×D7311yescharacteristic
1248#106—731no—
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106—731no—
1254#106—731no—
1255#106—731no—
1256#106—731no—
1257#106—731no—
1258#106—731no—
1259#106—731no—
1260#106—731no—
1261#106—731no—
1262#106C22×D7311yescharacteristic
1263#106C22×D7311yescharacteristic
1264C4⋊C8—731no—
1265C4⋊C8—731no—
1266C4⋊C8—731no—
1267C4⋊C8—731no—
1268C4⋊C8—731no—
1269C4⋊C8—731no—
1270C4⋊C8C22×D7311yescharacteristic
1271C4⋊C8C22×D7311yescharacteristic
1272C4⋊C8C22×D7311yescharacteristic
1273C4⋊C8C22×D7311yescharacteristic
1274#103—731no—
1275#103—731no—
1276#103—731no—
1277#103—731no—
1278#103—731no—
1279#103—731no—
1280#103—731no—
1281#103—731no—
1282#103—731no—
1283#103—731no—
1284#103C22×D7311yescharacteristic
1285#103C22×D7311yescharacteristic
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102—731no—
1291#102—731no—
1292#102—731no—
1293#102—731no—
1294#102—731no—
1295#102—731no—
1296#102—731no—
1297#102—731no—
1298#102—731no—
1299#102—731no—
1300#102C22×D7311yescharacteristic
1301#102C22×D7311yescharacteristic
1302#102C22×D7311yescharacteristic
1303#102C22×D7311yescharacteristic
1304#102C22×D7311yescharacteristic
1305#102C22×D7311yescharacteristic
1306C22⋊C8—731no—
1307C22⋊C8—731no—
1308C22⋊C8—731no—
1309C22⋊C8—731no—
1310C22⋊C8—731no—
1311C22⋊C8—731no—
1312#97—731no—
1313#97—731no—
1314#97—731no—
1315#97—731no—
1316C4×C8—731no—
1317C4×C8—731no—
1318C24—1461no—
1319#41—2921no—
1320#41—2921no—
1321#41—5842no—
1322#41—5842no—
1323#41—5842no—
1324#41—5842no—
1325#41—1462no—
1326#41—1462no—
1327C2×Q8—21no—
1328C2×Q8—5842no—
1329C2×Q8—731no—
1330C2×Q8—731no—
1331C2×Q8—1461no—
1332C2×Q8—1461no—
1333C2×Q8—1461no—
1334C2×Q8—1461no—
1335C2×Q8—1461no—
1336C2×Q8C23×D7311yescharacteristic
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4—2921no—
1343C2×D4—731no—
1344C2×D4—731no—
1345C2×D4—731no—
1346C2×D4—731no—
1347C2×D4—1461no—
1348C2×D4—1461no—
1349C2×D4—1462no—
1350C2×D4—1461no—
1351C2×D4—1461no—
1352C2×D4—1461no—
1353C2×D4—1461no—
1354C2×D4—1461no—
1355C2×D4—1461no—
1356C2×D4C23×D7311yescharacteristic
1357C2×D4C23×D7311yescharacteristic
1358C2×D4C23×D7311yescharacteristic
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—5842no—
1363C22×C4—731no—
1364C22×C4—731no—
1365C22×C4—731no—
1366C22×C4—731no—
1367C22×C4—1461no—
1368C22×C4—1461no—
1369C22×C4—1461no—
1370C22×C4—1461no—
1371C22×C4—1461no—
1372C22×C4—1461no—
1373C22×C4—1461no—
1374C22×C4—1461no—
1375C22×C4—1461no—
1376C22×C4—1461no—
1377C22×C4—1461no—
1378C22×C4—1461no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4—1461no—
1383C22×C4—1461no—
1384C22×C4—1461no—
1385C22×C4C23×D7311yescharacteristic
1386SD16—41no—
1387SD16—41no—
1388SD16—2921no—
1389SD16—2921no—
1390D8—41no—
1391D8—41no—
1392D8—1462no—
1393D8—1462no—
1394M16—41no—
1395M16—2921no—
1396C2×C8—41no—
1397C2×C8—2921no—
1398C2×C8—2921no—
1399C2×C8—2921no—
1400C2×C8—731no—
1401C2×C8—731no—
1402C2×C8—731no—
1403C2×C8—731no—
1404C2×C8C23×D7311yescharacteristic
1405C2×C8C23×D7311yescharacteristic
1406C2×C8C23×D7311yescharacteristic
1407C2×C8C23×D7311yescharacteristic
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—731no—
1414C4⋊C4—731no—
1415C4⋊C4—731no—
1416C4⋊C4—731no—
1417C4⋊C4—731no—
1418C4⋊C4—731no—
1419C4⋊C4—731no—
1420C4⋊C4—731no—
1421C4⋊C4—731no—
1422C4⋊C4—731no—
1423C4⋊C4—731no—
1424C4⋊C4—731no—
1425C4⋊C4—731no—
1426C4⋊C4—731no—
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⋊C4—1461no—
1441C4⋊C4—1461no—
1442C4⋊C4—1461no—
1443C4⋊C4—1461no—
1444C4⋊C4—1461no—
1445C4⋊C4—1461no—
1446C4⋊C4—1461no—
1447C4⋊C4—1461no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4—1461no—
1457C4⋊C4D4×D7311yescharacteristic
1458C4⋊C4D4×D7311yescharacteristic
1459C4⋊C4C23×D7311yescharacteristic
1460C4⋊C4C23×D7311yescharacteristic
1461C4⋊C4C23×D7311yescharacteristic
1462C4⋊C4C23×D7311yescharacteristic
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—731no—
1473C22⋊C4—731no—
1474C22⋊C4—731no—
1475C22⋊C4—731no—
1476C22⋊C4—731no—
1477C22⋊C4—731no—
1478C22⋊C4—731no—
1479C22⋊C4—731no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4—1461no—
1489C22⋊C4—1461no—
1490C22⋊C4—1461no—
1491C22⋊C4—1461no—
1492C22⋊C4—1461no—
1493C22⋊C4—1461no—
1494C22⋊C4—1461no—
1495C22⋊C4—1461no—
1496C22⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4—1461no—
1501C22⋊C4D4×D7311yescharacteristic
1502C22⋊C4D4×D7311yescharacteristic
1503C42—21no—
1504C42—731no—
1505C42—731no—
1506C42—731no—
1507C42—731no—
1508C42—1461no—
1509C42—1461no—
1510C42—1461no—
1511C42—1461no—
1512C42—1461no—
1513C42C23×D7311yescharacteristic
1514C42C23×D7311yescharacteristic
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—2922no—
1519C23—2922no—
1520C23—5841no—
1521C23—731no—
1522C23—731no—
1523C23—1461no—
1524C23C2×D4×D7311yescharacteristic
1525Q8—21no—
1526Q8—21no—
1527Q8—81no—
1528Q8—2921no—
1529Q8—2922no—
1530Q8—5841no—
1531Q8—5841no—
1532Q8—5841no—
1533Q8—5841no—
1534Q8—1461no—
1535Q8—1461no—
1536D4—21no—
1537D4—21no—
1538D4—21no—
1539D4—21no—
1540D4—21no—
1541D4—21no—
1542D4—81no—
1543D4—81no—
1544D4—81no—
1545D4—81no—
1546D4—81no—
1547D4—2922no—
1548D4—2922no—
1549D4—2922no—
1550D4—2922no—
1551D4—2921no—
1552D4—2922no—
1553D4—5841no—
1554D4—5841no—
1555D4—5841no—
1556D4—732no—
1557D4—1462no—
1558D4—1462no—
1559D4—1461no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—81no—
1568C2×C4—81no—
1569C2×C4—81no—
1570C2×C4—2922no—
1571C2×C4—2921no—
1572C2×C4—2922no—
1573C2×C4—2922no—
1574C2×C4—2922no—
1575C2×C4—2922no—
1576C2×C4—5841no—
1577C2×C4—5841no—
1578C2×C4—5841no—
1579C2×C4—5841no—
1580C2×C4—5841no—
1581C2×C4—5841no—
1582C2×C4—5841no—
1583C2×C4—5841no—
1584C2×C4—5841no—
1585C2×C4—5841no—
1586C2×C4—5841no—
1587C2×C4—5841no—
1588C2×C4—5841no—
1589C2×C4—731no—
1590C2×C4—731no—
1591C2×C4—731no—
1592C2×C4—731no—
1593C2×C4—731no—
1594C2×C4—731no—
1595C2×C4—1462no—
1596C2×C4—1461no—
1597C2×C4—1461no—
1598C2×C4—1461no—
1599C2×C4—1461no—
1600C2×C4—1461no—
1601C2×C4—1461no—
1602C2×C4—1461no—
1603C2×C4—1461no—
1604C2×C4—1461no—
1605C2×C4—1461no—
1606C2×C4—1461no—
1607C2×C4C2×D4×D7311yescharacteristic
1608C2×C4C2×D4×D7311yescharacteristic
1609C2×C4C2×D4×D7311yescharacteristic
1610C2×C4C2×D4×D7311yescharacteristic
1611C2×C4C2×D4×D7311yescharacteristic
1612C2×C4C24×D7311yescharacteristic
1613C8—21no—
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—1461no—
1618C8—1461no—
1619C8—1461no—
1620C8—1461no—
1621C22—21no—
1622C22—21no—
1623C22—21no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—2921no—
1634C22—2921no—
1635C22—5844no—
1636C22—732no—
1637C22—1462no—
1638C22—1461no—
1639C22—1461no—
1640C22—1461no—
1641C22—1461no—
1642C22—1461no—
1643C22C22×D4×D7311yescharacteristic
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—2921no—
1655C4—2921no—
1656C4—2921no—
1657C4—2921no—
1658C4—2921no—
1659C4—2921no—
1660C4—2921no—
1661C4—1461no—
1662C4—1461no—
1663C4—1461no—
1664C4—1461no—
1665C4—1461no—
1666C4—1461no—
1667C42−1+4×D7311yescharacteristic
1668C4#1798942211yescharacteristic
1669C2—41no—
1670C2—81no—
1671C2—81no—
1672C2—81no—
1673C2—2922no—
1674C2—2921no—
1675C2—1462no—
1676C2#2262360611yescharacteristic
1677C2#577×D7311yescharacteristic
1678C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3257C2
socleC22×C73C23×D4
hypercenter#3257D73
hypocenterC73#62166
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3257

Complements

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

NH ≅ G/Ntype
1. #22624461C2semidirect
2. #22623978C2semidirect
3. #22622834C2semidirect
4. #22622825C2semidirect
5. #22622762C2semidirect
6. #22622755C2semidirect
7. #22622413C2semidirect
8. #22622411C2semidirect
9. #22622407C2semidirect
10. #22622396C2semidirect
11. #22622285C2semidirect
12. #22622283C2semidirect
13. #22621913C2semidirect
14. #22621902C2semidirect
15. #22621899C2semidirect
16. #22621887C2semidirect
17. #22621788C2semidirect
18. #22621776C2semidirect
19. #22621338C2semidirect
20. #22621245C2semidirect
21. #22621228C2semidirect
22. #22621223C2semidirect
23. #22621135C2semidirect
24. #22620129C2semidirect
25. #22620124C2semidirect
26. #22620021C2semidirect
27. #22619796C2semidirect
28. #22619795C2semidirect
29. #478×D73C2semidirect
30. #22619068C2semidirect
31. C73×#3257C2semidirect
36. #17989296C22semidirect
38. #17989294C22semidirect
39. #17989289C22semidirect
42. #17989284C22semidirect
56. #17989217C22semidirect
57. #17989215C22semidirect
59. #17989191C22semidirect
75. #17988995C22semidirect
76. #17988995C22semidirect
77. #17988994C22semidirect
78. #17988993C22semidirect
79. #17988984C22semidirect
80. #17988983C22semidirect
81. #17988954C22semidirect
82. #17988954C22semidirect
87. #17988930C22semidirect
88. #17988925C22semidirect
92. #17988919C22semidirect
94. #17988915C22semidirect
100. #17988904C22semidirect
102. #17988903C22semidirect
103. #17988899C22semidirect
104. #17988898C22semidirect
105. #17988895C22semidirect
106. #17988895C22semidirect
107. #17988894C22semidirect
108. #17988892C22semidirect
109. #17988891C22semidirect
123. #17988875C22semidirect
124. #17988875C22semidirect
125. #17988875C22semidirect
126. #17988873C22semidirect
127. #17988873C22semidirect
128. #17988872C22semidirect
129. #17988870C22semidirect
130. #17988865C22semidirect
132. #17988832C22semidirect
136. #17988815C22semidirect
141. #17988790C22semidirect
142. #17988790C22semidirect
143. #17988784C22semidirect
151. #17988716C22semidirect
152. #17988714C22semidirect
159. #17988688C22semidirect
160. #17988687C22semidirect
161. SD16×Dic73C22semidirect
162. C4×#11924016C22semidirect
165. #17988658C22semidirect
168. #17988656C22semidirect
171. #17988648C22semidirect
172. #17988647C22semidirect
174. #17988629C22semidirect
175. #17988628C22semidirect
177. C2×#14556523C22semidirect
179. #106×D73C22semidirect
180. #17988612C22semidirect
189. #540×C73C22semidirect
190. #479×C73C22semidirect
192. #476×C73C22semidirect
193. #474×C73C22semidirect
195. #468×C73C22semidirect
197. #465×C73C22semidirect
200. #460×C73C22semidirect
202. #424×C73C22semidirect
859. #3257D73semidirect
871. C73#62166semidirect
901. #540C2×D73semidirect
952. #479C2×D73semidirect
970. #476C2×D73semidirect
976. #474C2×D73semidirect
980. #468C2×D73semidirect
988. #465C2×D73semidirect
996. #460C2×D73semidirect
1035. #424C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226244612
#226239782
#226228342
#226228252
#226227622
#226227552
#226224132
#226224112
#226224072
#226223962
#226222852
#226222832
#226219132
#226219022
#226218992
#226218872
#226217882
#226217762
#226213382
#226212452
#226212282
#226212232
#226211352
#226201292
#226201242
#226200212
#226197962
#226197952
#478×D732
#226190682
C73×#32572
#6216673