Finite Group Databasebeta

← #33958458

Subgroups — #33958458

Order 18688.

1640 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623675C211yesmaximal, characteristic
2#22623335C211yesmaximal, characteristic, complemented
3#22621235C211yesmaximal, characteristic, complemented
4#22621231C211yesmaximal, characteristic, complemented
5#22621218C211yesmaximal, characteristic, complemented
6#22621214C211yesmaximal, characteristic, complemented
7#22621205C211yesmaximal, characteristic, complemented
8#22621195C211yesmaximal, characteristic, complemented
9#22621193C211yesmaximal, characteristic, complemented
10#22621176C211yesmaximal, characteristic, complemented
11#22621172C211yesmaximal, characteristic, complemented
12#22621143C211yesmaximal, characteristic, complemented
13#22621140C211yesmaximal, characteristic, complemented
14#22621114C211yesmaximal, characteristic, complemented
15#22621111C211yesmaximal, characteristic, complemented
16#22621089C211yesmaximal, characteristic, complemented
17#22621085C211yesmaximal, characteristic, complemented
18#22620466C211yesmaximal, characteristic, complemented
19#22620460C211yesmaximal, characteristic, complemented
20#22620297C211yesmaximal, characteristic, complemented
21#22620291C211yesmaximal, characteristic, complemented
22#22619876C211yesmaximal, characteristic, complemented
23#22619863C211yesmaximal, characteristic
24#22619845C211yesmaximal, characteristic
25#485×D73C211yesmaximal, characteristic, complemented
26#22619796C211yesmaximal, characteristic, complemented
27#22619779C211yesmaximal, characteristic, complemented
28#22619770C211yesmaximal, characteristic, complemented
29#22619766C211yesmaximal, characteristic, complemented
30#22618587C211yesmaximal, characteristic, complemented
31C73×#3242C211yesmaximal, characteristic, complemented
32#17989304—21no—
33#17989293—21no—
34#17989275—21no—
35#17989273—21no—
36#17989269—21no—
37#17989269—21no—
38#17989262—21no—
39#17989262—21no—
40#17989218C2211yescharacteristic
41#17989217—21no—
42#17989217C2211yescharacteristic
43#17989217C2211yescharacteristic
44#17989217C2211yescharacteristic
45#17989215C2211yescharacteristic
46#17989215C2211yescharacteristic
47#17989214—21no—
48#17989214C2211yescharacteristic
49#17989214C2211yescharacteristic
50#17989212—21no—
51#17989212—21no—
52#17989210C2211yescharacteristic
53#17989208C2211yescharacteristic
54#17989197C2211yescharacteristic
55#17989162C2211yescharacteristic
56#17989143—21no—
57#17989143C2211yescharacteristic
58#17989143C2211yescharacteristic
59#17989142—21no—
60#17989142C2211yescharacteristic
61#17989142C2211yescharacteristic
62#17989142C2211yescharacteristic
63#17989141C2211yescharacteristic
64#17989139—21no—
65#17989139—21no—
66#17989124C2211yescharacteristic
67#17989122C2211yescharacteristic
68#17989100C2211yescharacteristic
69C22⋊Q8×D73C2211yescharacteristic
70#17989069C2211yescharacteristic
71#17989063C2211yescharacteristic
72C2×#14556549C2211yescharacteristic
73#117×D73C2211yescharacteristic
74#117×D73C2211yescharacteristic
75#17988997C2211yescharacteristic, complemented
76#17988997C2211yescharacteristic, complemented
77#17988996C2211yescharacteristic, complemented
78#17988995C2211yescharacteristic, complemented
79#17988995C2211yescharacteristic, complemented
80#17988995C2211yescharacteristic, complemented
81#17988994C2211yescharacteristic, complemented
82#17988991C2211yescharacteristic, complemented
83#17988990C2211yescharacteristic, complemented
84#17988987C2211yescharacteristic, complemented
85#17988987C2211yescharacteristic, complemented
86#17988986C2211yescharacteristic, complemented
87#17988985C2211yescharacteristic, complemented
88#17988984C2211yescharacteristic, complemented
89#17988955C2211yescharacteristic, complemented
90#17988954C2211yescharacteristic, complemented
91#17988954C2211yescharacteristic, complemented
92#17988949C2211yescharacteristic, complemented
93#17988948C2211yescharacteristic, complemented
94#17988948C2211yescharacteristic, complemented
95#17988947C2211yescharacteristic, complemented
96#17988944C2211yescharacteristic, complemented
97#17988943C2211yescharacteristic, complemented
98#17988943C2211yescharacteristic, complemented
99#17988942C2211yescharacteristic, complemented
100#17988937C2211yescharacteristic, complemented
101#17988936C2211yescharacteristic, complemented
102#17988936C2211yescharacteristic, complemented
103#17988931C2211yescharacteristic
104#17988930C2211yescharacteristic
105#17988930C2211yescharacteristic
106#17988930C2211yescharacteristic
107#17988929C2211yescharacteristic
108#17988928C2211yescharacteristic
109#17988927C2211yescharacteristic
110#17988927C2211yescharacteristic
111#17988926C2211yescharacteristic
112#17988926C2211yescharacteristic
113#17988926C2211yescharacteristic
114#17988926C2211yescharacteristic
115#17988926C2211yescharacteristic
116#17988926C2211yescharacteristic
117#17988925C2211yescharacteristic
118#17988925C2211yescharacteristic
119#17988922C2211yescharacteristic
120#17988920C2211yescharacteristic
121#17988918C2211yescharacteristic
122#17988915C2211yescharacteristic
123#17988914C2211yescharacteristic
124#17988913C2211yescharacteristic
125#17988913C2211yescharacteristic
126#17988913C2211yescharacteristic
127#17988912C2211yescharacteristic
128#17988911C2211yescharacteristic
129#17988906C2211yescharacteristic
130#17988900C2211yescharacteristic
131#17988897C2211yescharacteristic, complemented
132#17988897C2211yescharacteristic, complemented
133#17988895C2211yescharacteristic, complemented
134#17988894C2211yescharacteristic, complemented
135#17988894C2211yescharacteristic, complemented
136#17988892C2211yescharacteristic, complemented
137#17988892C2211yescharacteristic, complemented
138#17988892C2211yescharacteristic, complemented
139#17988892C2211yescharacteristic, complemented
140#17988891C2211yescharacteristic, complemented
141#17988890C2211yescharacteristic, complemented
142#17988890C2211yescharacteristic, complemented
143#17988888C2211yescharacteristic, complemented
144#17988884C2211yescharacteristic, complemented
145#17988882C2211yescharacteristic, complemented
146#17988881C2211yescharacteristic, complemented
147#17988880C2211yescharacteristic, complemented
148#17988880C2211yescharacteristic, complemented
149#17988879C2211yescharacteristic, complemented
150#17988878C2211yescharacteristic, complemented
151#17988876C2211yescharacteristic, complemented
152#17988873C2211yescharacteristic, complemented
153#17988872C2211yescharacteristic, complemented
154#17988871C2211yescharacteristic, complemented
155#17988870C2211yescharacteristic, complemented
156#17988870C2211yescharacteristic, complemented
157#17988866C2211yescharacteristic, complemented
158#17988864C2211yescharacteristic, complemented
159#17988648C2211yescharacteristic
160#17988645C2211yescharacteristic
161#17988645C2211yescharacteristic
162#17988643C2211yescharacteristic
163#17988642C2211yescharacteristic
164#17988639C2211yescharacteristic
165#17988638C2211yescharacteristic
166#17988628C2211yescharacteristic
167#17988628C2211yescharacteristic
168#17988628C2211yescharacteristic
169#17988626C2211yescharacteristic
170#17988622C2211yescharacteristic
171#17988622C2211yescharacteristic
172#107×D73C2211yescharacteristic
173#106×D73C2211yescharacteristic
174#17988612C2211yescharacteristic
175#17988612C2211yescharacteristic
176#17988594C2211yescharacteristic
177#17988594C2211yescharacteristic
178#17988587C2211yescharacteristic
179#17988587C2211yescharacteristic
180#17988582C2211yescharacteristic
181#17988582C2211yescharacteristic
182#103×D73C2211yescharacteristic
183#103×D73C2211yescharacteristic
184#17988549C2211yescharacteristic
185C22⋊C8×D73C2211yescharacteristic
186#17988544C2211yescharacteristic
187#17988541C2211yescharacteristic
188#544×C73C2211yescharacteristic
189#541×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#499×C73C2211yescharacteristic, complemented
192#491×C73C2211yescharacteristic, complemented
193#487×C73C2211yescharacteristic, complemented
194#485×C73C2211yescharacteristic
195#485×C73C2211yescharacteristic
196#484×C73C2211yescharacteristic
197#483×C73C2211yescharacteristic
198#479×C73C2211yescharacteristic, complemented
199#479×C73C2211yescharacteristic, complemented
200#477×C73C2211yescharacteristic, complemented
201#475×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic
203C2×#11924029C2311yescharacteristic
204C2×Q8×D73C2311yescharacteristic
205C22×C4×D73C2311yescharacteristic
206C2×#11924011C2311yescharacteristic
207C2×#11924011C2311yescharacteristic
208C2×C8×D73C2311yescharacteristic
209C2×C8×D73C2311yescharacteristic
210#14556591—21no—
211#14556591C2311yescharacteristic
212#14556591C2311yescharacteristic
213#14556591C2311yescharacteristic
214#14556590—21no—
215#14556590—21no—
216#14556590—21no—
217#14556590—21no—
218#14556590—21no—
219#14556590C2311yescharacteristic
220#14556590C2311yescharacteristic
221#14556590C2311yescharacteristic
222#14556590C2311yescharacteristic
223#14556590C2311yescharacteristic
224#14556589—21no—
225#14556589—21no—
226#14556589C2311yescharacteristic
227#14556586—21no—
228#14556586—21no—
229#14556586—21no—
230#14556586—21no—
231#14556584—21no—
232#14556584—21no—
233#14556583—21no—
234#14556583C2311yescharacteristic
235#14556583C2311yescharacteristic
236#14556582—21no—
237#14556582—21no—
238#14556582—21no—
239#14556582—21no—
240#14556582C2311yescharacteristic
241#14556582C2311yescharacteristic
242#14556582C2311yescharacteristic
243#14556582C2311yescharacteristic
244#14556582C2311yescharacteristic
245#14556581—21no—
246#14556581—21no—
247#14556581—21no—
248#14556581—21no—
249#14556581—21no—
250#14556581—21no—
251#14556581—21no—
252#14556580C2311yescharacteristic
253#14556579C2311yescharacteristic
254#14556577—21no—
255#14556577—21no—
256#14556576—21no—
257#14556576—21no—
258#14556576—21no—
259#14556576—21no—
260#14556576—21no—
261#14556573—21no—
262#14556573—21no—
263#14556571—21no—
264#14556571—21no—
265#14556571—21no—
266#14556571—21no—
267#14556571—21no—
268#14556571—21no—
269#14556571—21no—
270#14556571C2311yescharacteristic
271#14556570—21no—
272#14556570—21no—
273#14556570C2311yescharacteristic
274#14556569—21no—
275#14556569—21no—
276#14556569—21no—
277#14556569—21no—
278#14556569—21no—
279#14556569—21no—
280#14556569—21no—
281#14556569—21no—
282#14556569—21no—
283#14556569—21no—
284#14556569—21no—
285#14556569—21no—
286#14556569—21no—
287#14556569—21no—
288#14556568—21no—
289#14556568—21no—
290#14556568—21no—
291#14556568—21no—
292#14556568—21no—
293#14556567—21no—
294#14556567—21no—
295#14556567—21no—
296#14556567—21no—
297#14556567C2311yescharacteristic
298#14556567C2311yescharacteristic
299#14556566C2311yescharacteristic
300#14556565C2311yescharacteristic
301#14556561—21no—
302Q8×Dic73—21no—
303Q8×Dic73—21no—
304Q8×Dic73C2311yescharacteristic
305Q8×Dic73C2311yescharacteristic
306C4×Dic146—21no—
307C4×Dic146—21no—
308C4×Dic146C2311yescharacteristic
309#14556556—21no—
310#14556556—21no—
311#14556556—21no—
312#14556556—21no—
313#14556556—21no—
314#14556556—21no—
315#14556556—21no—
316#14556556—21no—
317#14556556C2311yescharacteristic
318C4×D292—21no—
319C4×D292—21no—
320C4×D292C2311yescharacteristic
321#14556553—21no—
322#14556553—21no—
323#14556553—21no—
324#14556553C2311yescharacteristic
325#14556551—21no—
326#14556550C2311yescharacteristic
327#14556550C2311yescharacteristic
328#14556549—21no—
329#14556549—21no—
330#14556549—21no—
331#14556549—21no—
332#14556549—21no—
333#14556549D411yescharacteristic
334#14556549D411yescharacteristic
335#14556549C2311yescharacteristic
336#14556549C2311yescharacteristic
337#14556549C2311yescharacteristic
338#14556549C2311yescharacteristic
339#14556549C2311yescharacteristic
340#14556549C2311yescharacteristic
341#14556549C2311yescharacteristic
342#14556548—21no—
343#14556548—21no—
344#14556548—21no—
345#14556548—21no—
346#14556548—21no—
347#14556548C2311yescharacteristic
348#14556548C2311yescharacteristic
349#14556547—21no—
350#14556547D411yescharacteristic
351#14556547D411yescharacteristic
352C2×C4⋊Dic73C2311yescharacteristic
353C4⋊C4×D73—21no—
354C4⋊C4×D73—21no—
355C4⋊C4×D73D411yescharacteristic
356C4⋊C4×D73D411yescharacteristic
357C4⋊C4×D73C2311yescharacteristic
358C4⋊C4×D73C2311yescharacteristic
359C4⋊C4×D73C2311yescharacteristic
360C2×#11924005—21no—
361C22⋊C4×D73—21no—
362C22⋊C4×D73—21no—
363C22⋊C4×D73D411yescharacteristic
364C22⋊C4×D73D411yescharacteristic
365C2×C4×Dic73—21no—
366C42×D73—21no—
367C42×D73C2311yescharacteristic
368C42×D73C2311yescharacteristic
369#14556525C2311yescharacteristic
370#14556525C2311yescharacteristic
371#14556524C2311yescharacteristic
372#14556524C2311yescharacteristic
373#14556524C2311yescharacteristic
374#14556524C2311yescharacteristic
375#14556524C2311yescharacteristic
376#14556524C2311yescharacteristic
377#14556524C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556523C2311yescharacteristic
382#14556523C2311yescharacteristic
383#14556523C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556523C2311yescharacteristic
386#14556523C2311yescharacteristic
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#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423C22⋊#10596831C2311yescharacteristic
424C22⋊#10596831C2311yescharacteristic
425#14556503C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432C4×#10596831C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C4⋊Q8×C73—21no—
436C4⋊Q8×C73C2311yescharacteristic
437C4⋊Q8×C73C2311yescharacteristic
438C4⋊Q8×C73C2311yescharacteristic
439#126×C73—21no—
440#126×C73—21no—
441#125×C73—21no—
442#125×C73—21no—
443#125×C73—21no—
444#125×C73C2311yescharacteristic
445#125×C73C2311yescharacteristic
446#125×C73C2311yescharacteristic
447C22⋊Q8×C73—21no—
448C22⋊Q8×C73—21no—
449C22⋊Q8×C73C2311yescharacteristic
450C22⋊Q8×C73C2311yescharacteristic
451C4×Q8×C73C2311yescharacteristic
452C4×Q8×C73C2311yescharacteristic
453#117×C73C2311yescharacteristic
454#117×C73C2311yescharacteristic
455C2×C4⋊C4×C73C2311yescharacteristic
456#107×C73C2311yescharacteristic
457#107×C73C2311yescharacteristic
458#107×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#106×C73C2311yescharacteristic
461#106×C73C2311yescharacteristic
462#106×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465C4⋊C8×C73C2311yescharacteristic
466#103×C73C2311yescharacteristic
467#103×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474C22⋊C8×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476#97×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C23×D73C2×D411yescharacteristic
479#11924029—22no—
480#11924029—22no—
481C2×Dic146—21no—
482C2×Dic146—21no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146C2411yescharacteristic
491Q8×D73—22no—
492Q8×D73—22no—
493C2×D292—21no—
494C2×D292—21no—
495C2×D292C2411yescharacteristic
496C2×C22⋊D73—21no—
497C22×Dic73—21no—
498C22×Dic73C2×D411yescharacteristic
499C2×C4×D73—22no—
500C2×C4×D73—22no—
501C2×C4×D73—21no—
502C2×C4×D73—21no—
503C2×C4×D73—21no—
504C2×C4×D73—21no—
505C2×C4×D73—21no—
506C2×C4×D73—21no—
507C2×C4×D73—21no—
508C2×C4×D73C2×D411yescharacteristic
509C2×C4×D73C2×D411yescharacteristic
510C2×C4×D73C2×D411yescharacteristic
511C2×C4×D73C2×D411yescharacteristic
512C2×C4×D73C2×D411yescharacteristic
513C2×C4×D73C2×D411yescharacteristic
514C2×C4×D73C2411yescharacteristic
515C2×C4×D73C2411yescharacteristic
516#11924011—22no—
517#11924011—22no—
518C2×#10596831C2411yescharacteristic
519C2×#10596831C2411yescharacteristic
520C2×#10596831C2411yescharacteristic
521C2×#10596831C2411yescharacteristic
522C8×D73—22no—
523C8×D73—22no—
524C4⋊Dic73—21no—
525C4⋊Dic73—21no—
526C4⋊Dic73—21no—
527C4⋊Dic73—21no—
528C4⋊Dic73—21no—
529C4⋊Dic73—21no—
530C4⋊Dic73—21no—
531C4⋊Dic73—21no—
532C4⋊Dic73—21no—
533C4⋊Dic73—21no—
534C4⋊Dic73—21no—
535C4⋊Dic73—21no—
536C4⋊Dic73C2×D411yescharacteristic
537C4⋊Dic73C2×D411yescharacteristic
538C4⋊Dic73C2411yescharacteristic
539C4⋊Dic73C2411yescharacteristic
540C4⋊Dic73C2411yescharacteristic
541C4⋊Dic73C2411yescharacteristic
542C4⋊Dic73C2411yescharacteristic
543C4⋊Dic73C2411yescharacteristic
544#11924007—21no—
545#11924007—21no—
546#11924007—21no—
547#11924007—21no—
548#11924007—21no—
549#11924007—21no—
550#11924007—21no—
551#11924007—21no—
552#11924007—21no—
553#11924007—21no—
554#11924007—21no—
555#11924007—21no—
556#11924007—21no—
557#11924007—21no—
558#11924007—21no—
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007C2×D411yescharacteristic
569#11924007C2×D411yescharacteristic
570#11924007C2×D411yescharacteristic
571#11924007C2×D411yescharacteristic
572C22⋊Dic73—21no—
573C22⋊Dic73—21no—
574C22⋊Dic73C2×D411yescharacteristic
575C22⋊Dic73C2×D411yescharacteristic
576#11924005—21no—
577#11924005—21no—
578#11924005—21no—
579#11924005—21no—
580#11924005—21no—
581#11924005—21no—
582#11924005—21no—
583#11924005—21no—
584#11924005—21no—
585#11924005—21no—
586#11924005—21no—
587#11924005—21no—
588#11924005—21no—
589#11924005—21no—
590#11924005—21no—
591#11924005—21no—
592#11924005—21no—
593#11924005—21no—
594#11924005C2×D411yescharacteristic
595#11924005C2×D411yescharacteristic
596#11924005C2×D411yescharacteristic
597#11924005C2×D411yescharacteristic
598C4×Dic73—21no—
599C4×Dic73—21no—
600C4×Dic73—21no—
601C4×Dic73—21no—
602C4×Dic73—21no—
603C4×Dic73—21no—
604C4×Dic73—21no—
605C4×Dic73—21no—
606C4×Dic73—21no—
607C4×Dic73—21no—
608C4×Dic73—21no—
609C4×Dic73—21no—
610C4×Dic73C2×D411yescharacteristic
611C4×Dic73C2×D411yescharacteristic
612C4×Dic73C2×D411yescharacteristic
613C4×Dic73C2×D411yescharacteristic
614C4×Dic73C2411yescharacteristic
615C4×Dic73C2411yescharacteristic
616C2×Q8×C73—21no—
617C2×Q8×C73—21no—
618C2×Q8×C73C2411yescharacteristic
619C2×Q8×C73C2411yescharacteristic
620C22×C4×C73—21no—
621C22×C4×C73C2411yescharacteristic
622C2×C8×C73C2411yescharacteristic
623C2×C8×C73C2411yescharacteristic
624C2×C8×C73C2411yescharacteristic
625C2×C8×C73C2411yescharacteristic
626C4⋊C4×C73—21no—
627C4⋊C4×C73—21no—
628C4⋊C4×C73—21no—
629C4⋊C4×C73—21no—
630C4⋊C4×C73—21no—
631C4⋊C4×C73—21no—
632C4⋊C4×C73—21no—
633C4⋊C4×C73—21no—
634C4⋊C4×C73—21no—
635C4⋊C4×C73—21no—
636C4⋊C4×C73—21no—
637C4⋊C4×C73—21no—
638C4⋊C4×C73—21no—
639C4⋊C4×C73—21no—
640C4⋊C4×C73—21no—
641C4⋊C4×C73C2×D411yescharacteristic
642C4⋊C4×C73C2×D411yescharacteristic
643C4⋊C4×C73C2411yescharacteristic
644C4⋊C4×C73C2411yescharacteristic
645C4⋊C4×C73C2411yescharacteristic
646C4⋊C4×C73C2411yescharacteristic
647C4⋊C4×C73C2411yescharacteristic
648C4⋊C4×C73C2411yescharacteristic
649C22⋊C4×C73—21no—
650C22⋊C4×C73—21no—
651C22⋊C4×C73—21no—
652C22⋊C4×C73C2×D411yescharacteristic
653C22⋊C4×C73C2×D411yescharacteristic
654C42×C73—21no—
655C42×C73—21no—
656C42×C73—21no—
657C42×C73C2411yescharacteristic
658C42×C73C2411yescharacteristic
659C23×C73C22×D411yescharacteristic
660C22×D73—22no—
661C22×D73—21no—
662C22×D73—41no—
663C22×D73—41no—
664C22×D73C22×D411yescharacteristic
665C22×D73C22×D411yescharacteristic
666Q8×C73—21no—
667Q8×C73—21no—
668Q8×C73—21no—
669Q8×C73—21no—
670Q8×C73—81no—
671Q8×C73—81no—
672C2×C4×C73—21no—
673C2×C4×C73—21no—
674C2×C4×C73—21no—
675C2×C4×C73—21no—
676C2×C4×C73—21no—
677C2×C4×C73—21no—
678C2×C4×C73—21no—
679C2×C4×C73—21no—
680C2×C4×C73—21no—
681C2×C4×C73—21no—
682C2×C4×C73—81no—
683C2×C4×C73C22×D411yescharacteristic
684C2×C4×C73C22×D411yescharacteristic
685C2×C4×C73C22×D411yescharacteristic
686C2×C4×C73C22×D411yescharacteristic
687C2×C4×C73C22×D411yescharacteristic
688C2×C4×C73C2511yescharacteristic
689C22⋊D73—81no—
690C2×Dic73—22no—
691C2×Dic73—21no—
692C2×Dic73—21no—
693C2×Dic73—21no—
694C2×Dic73—21no—
695C2×Dic73—21no—
696C2×Dic73—21no—
697C2×Dic73—21no—
698C2×Dic73—81no—
699C2×Dic73C22×D411yescharacteristic
700C2×Dic73C22×D411yescharacteristic
701C2×Dic73C22×D411yescharacteristic
702C2×Dic73C22×D411yescharacteristic
703C2×Dic73C22×D411yescharacteristic
704C2×Dic73C22×D411yescharacteristic
705D292—21no—
706D292—21no—
707D292—42no—
708D292—42no—
709C4×D73—22no—
710C4×D73—21no—
711C4×D73—21no—
712C4×D73—22no—
713C4×D73—41no—
714C4×D73—41no—
715C4×D73—41no—
716C4×D73—41no—
717C4×D73—42no—
718C4×D73—42no—
719C4×D73—81no—
720C4×D73—81no—
721C4×D73—81no—
722C4×D73—81no—
723C4×D73—81no—
724C4×D732−1+412yes—
725C4×D732−1+412yes—
726Dic146—21no—
727Dic146—21no—
728Dic146—42no—
729Dic146—81no—
730Dic146—81no—
731Dic146—81no—
732Dic146—81no—
733Dic146—81no—
734Dic146—81no—
735Dic146—81no—
736Dic146—81no—
737C8×C73—21no—
738C8×C73—21no—
739C8×C73—21no—
740C8×C73—21no—
741#10596831—21no—
742#10596831—21no—
743#10596831—21no—
744#10596831—21no—
745C22×C73—21no—
746C22×C73—21no—
747C22×C73—21no—
748C22×C73C23×D411yescharacteristic
749C2×D73—21no—
750C2×D73—21no—
751C2×D73—21no—
752C2×D73—21no—
753C2×D73—21no—
754C2×D73—41no—
755C2×D73—41no—
756C2×D73—41no—
757C2×D73—82no—
758C2×D73#53612yes—
759C4×C73—21no—
760C4×C73—21no—
761C4×C73—21no—
762C4×C73—21no—
763C4×C73—21no—
764C4×C73—41no—
765C4×C73—41no—
766C4×C73—41no—
767C4×C73—41no—
768C4×C73—41no—
769C4×C73—41no—
770C4×C73—41no—
771C4×C73—41no—
772C4×C73C2×2−1+411yescharacteristic
773C4×C73C2×2−1+411yescharacteristic
774Dic73—21no—
775Dic73—21no—
776Dic73—21no—
777Dic73—21no—
778Dic73—21no—
779Dic73—41no—
780Dic73—41no—
781Dic73—41no—
782Dic73—41no—
783Dic73—41no—
784Dic73—41no—
785Dic73—41no—
786Dic73#53612yes—
787#60876—731nomaximal, Sylow
788C2×C73—41no—
789C2×C73C2×#53611yescharacteristic
790C2×C73#358411yescharacteristic
791C2×C73#358611yescharacteristic
792D73—22no—
793D73—41no—
794D73—81no—
795#3495—731no—
796#3458—731no—
797#3244—731no—
798#3244—731no—
799#3243—731no—
800#3243—731no—
801#3242—731no—
802#3242—731no—
803#3242—731no—
804#3242D7311yescharacteristic, complemented
805#3240—731no—
806#3240—731no—
807#3237—731no—
808#3237—731no—
809#3233—731no—
810#3233—731no—
811#3231—731no—
812#3231—731no—
813#3164—731no—
814#3163—731no—
815#3137—731no—
816#3137—731no—
817#3095—731no—
818#3093—731no—
819#3091—731no—
820C2×#485—731no—
821#3084—731no—
822#3083—731no—
823#3082—731no—
824#3082—731no—
825#2924—731no—
826C73#6087611yescharacteristic, complemented, Sylow
827#556—1461no—
828#554—1461no—
829#552—1461no—
830#552—1461no—
831#552—1461no—
832#552—1461no—
833#551—1461no—
834#551—1461no—
835#544—731no—
836#544—731no—
837#544—731no—
838#544—731no—
839#544—731no—
840#544—731no—
841#544—731no—
842#544—731no—
843#544—1461no—
844#544—1461no—
845#544C2×D7311yescharacteristic
846#543—1461no—
847#543—1461no—
848#542—731no—
849#542—731no—
850#541—731no—
851#541C2×D7311yescharacteristic
852#536—731no—
853#533—731no—
854#533—731no—
855#533—731no—
856#533—731no—
857#533—731no—
858#533—731no—
859#533—1461no—
860#533—1461no—
861#533—1461no—
862#533—1461no—
863#529—731no—
864#529—731no—
865#525—731no—
866C2×C22⋊Q8—731no—
867#520—731no—
868#519—731no—
869C2×#117—731no—
870C2×#117—731no—
871C2×#117—731no—
872#501—731no—
873#501—731no—
874#501—731no—
875#501—731no—
876#501—731no—
877#501—731no—
878#501—731no—
879#501C2×D7311yescharacteristic, complemented
880#500—731no—
881#500—731no—
882#499—731no—
883#499—731no—
884#499—731no—
885#499C2×D7311yescharacteristic, complemented
886#498—731no—
887#498—731no—
888#491—731no—
889#491—731no—
890#491—731no—
891#491C2×D7311yescharacteristic, complemented
892#489—731no—
893#489—731no—
894#489—731no—
895#489—731no—
896#488—731no—
897#488—731no—
898#488—731no—
899#488—731no—
900#487—731no—
901#487—731no—
902#487—731no—
903#487C2×D7311yescharacteristic, complemented
904#485—731no—
905#485—731no—
906#485—731no—
907#485—731no—
908#485—731no—
909#485—731no—
910#485—731no—
911#485—731no—
912#485—731no—
913#485—731no—
914#485—731no—
915#485—731no—
916#485—731no—
917#485—731no—
918#485—731no—
919#485—731no—
920#485C2×D7311yescharacteristic
921#485C2×D7311yescharacteristic
922#484—731no—
923#484—731no—
924#484C2×D7311yescharacteristic
925#483—731no—
926#483—731no—
927#483C2×D7311yescharacteristic
928#482—731no—
929#482—731no—
930#482—731no—
931#482—731no—
932#482—731no—
933#482—731no—
934#481—731no—
935#480—731no—
936#479—731no—
937#479—731no—
938#479—731no—
939#479—731no—
940#479—731no—
941#479—731no—
942#479—731no—
943#479—731no—
944#479—731no—
945#479—731no—
946#479C2×D7311yescharacteristic, complemented
947#479C2×D7311yescharacteristic, complemented
948#478—731no—
949#478—731no—
950#478—731no—
951#478—731no—
952#477—731no—
953#477—731no—
954#477—731no—
955#477—731no—
956#477—731no—
957#477C2×D7311yescharacteristic, complemented
958#476—731no—
959#476—731no—
960#475—731no—
961#475—731no—
962#475—731no—
963#475—731no—
964#475—731no—
965#475C2×D7311yescharacteristic, complemented
966#474—731no—
967#474—731no—
968#433—731no—
969#433—731no—
970#433—731no—
971#433C2×D7311yescharacteristic
972#432—731no—
973#432—731no—
974#431—731no—
975#431—731no—
976#428—731no—
977#428—731no—
978#428—731no—
979#428—731no—
980#427—731no—
981#427—731no—
982C2×#107—731no—
983C2×#106—731no—
984#424—731no—
985#424—731no—
986#419—731no—
987#419—731no—
988#417—731no—
989#417—731no—
990#416—731no—
991#416—731no—
992C2×#103—731no—
993C2×#103—731no—
994#407—731no—
995C2×C22⋊C8—731no—
996#405—731no—
997#405—731no—
998C2×#41—731no—
999C22×Q8—731no—
1000C23×C4—731no—
1001C2×M16—731no—
1002C2×M16—731no—
1003C22×C8—731no—
1004C22×C8—731no—
1005C4⋊Q8—21no—
1006C4⋊Q8—731no—
1007C4⋊Q8—731no—
1008C4⋊Q8—731no—
1009C4⋊Q8—731no—
1010C4⋊Q8—731no—
1011C4⋊Q8—731no—
1012C4⋊Q8—731no—
1013C4⋊Q8—731no—
1014C4⋊Q8—731no—
1015C4⋊Q8—1461no—
1016C4⋊Q8—1461no—
1017C4⋊Q8—1461no—
1018C4⋊Q8—1461no—
1019C4⋊Q8—1461no—
1020C4⋊Q8—1461no—
1021C4⋊Q8—1461no—
1022C4⋊Q8—1461no—
1023C4⋊Q8C22×D7311yescharacteristic
1024C4⋊Q8C22×D7311yescharacteristic
1025C4⋊Q8C22×D7311yescharacteristic
1026#126—21no—
1027#126—21no—
1028#126—1461no—
1029#126—1461no—
1030#126—1461no—
1031#126—1461no—
1032#126—1461no—
1033#126—1461no—
1034#125—21no—
1035#125—21no—
1036#125—21no—
1037#125—731no—
1038#125—731no—
1039#125—731no—
1040#125—731no—
1041#125—731no—
1042#125—731no—
1043#125—731no—
1044#125—1461no—
1045#125—1461no—
1046#125—1461no—
1047#125—1461no—
1048#125—1461no—
1049#125—1461no—
1050#125—1461no—
1051#125—1461no—
1052#125—1461no—
1053#125—1461no—
1054#125—1461no—
1055#125—1461no—
1056#125C22×D7311yescharacteristic
1057#125C22×D7311yescharacteristic
1058#125C22×D7311yescharacteristic
1059#124—731no—
1060#124—731no—
1061#124—1461no—
1062#124—1461no—
1063#123—1461no—
1064#123—1461no—
1065#123—1461no—
1066#123—1461no—
1067#123—1461no—
1068#123—1461no—
1069#123—1461no—
1070C22⋊Q8—21no—
1071C22⋊Q8—21no—
1072C22⋊Q8—731no—
1073C22⋊Q8—731no—
1074C22⋊Q8—731no—
1075C22⋊Q8—731no—
1076C22⋊Q8—1461no—
1077C22⋊Q8—1461no—
1078C22⋊Q8—1461no—
1079C22⋊Q8—1461no—
1080C22⋊Q8—1461no—
1081C22⋊Q8—1461no—
1082C22⋊Q8—1461no—
1083C22⋊Q8—1461no—
1084C22⋊Q8—1461no—
1085C22⋊Q8—1461no—
1086C22⋊Q8—1461no—
1087C22⋊Q8—1461no—
1088C22⋊Q8—1461no—
1089C22⋊Q8—1461no—
1090C22⋊Q8—1461no—
1091C22⋊Q8—1461no—
1092C22⋊Q8—1461no—
1093C22⋊Q8—1461no—
1094C22⋊Q8—1461no—
1095C22⋊Q8—1461no—
1096C22⋊Q8—1461no—
1097C22⋊Q8—1461no—
1098C22⋊Q8—1461no—
1099C22⋊Q8—1461no—
1100C22⋊Q8—1461no—
1101C22⋊Q8—1461no—
1102C22⋊Q8—1461no—
1103C22⋊Q8—1461no—
1104C22⋊Q8—1461no—
1105C22⋊Q8—1461no—
1106C22⋊Q8—1461no—
1107C22⋊Q8—1461no—
1108C22⋊Q8C22×D7311yescharacteristic
1109C22⋊Q8C22×D7311yescharacteristic
1110#121—731no—
1111#121—731no—
1112#120—1461no—
1113C4×Q8—731no—
1114C4×Q8—731no—
1115C4×Q8—731no—
1116C4×Q8—731no—
1117C4×Q8—1461no—
1118C4×Q8—1461no—
1119C4×Q8—1461no—
1120C4×Q8—1461no—
1121C4×Q8—1461no—
1122C4×Q8—1461no—
1123C4×Q8—1461no—
1124C4×Q8—1461no—
1125C4×Q8—1461no—
1126C4×Q8—1461no—
1127C4×Q8—1461no—
1128C4×Q8—1461no—
1129C4×Q8C22×D7311yescharacteristic
1130C4×Q8C22×D7311yescharacteristic
1131C4×D4—731no—
1132C4×D4—731no—
1133C4×D4—1461no—
1134C4×D4—1461no—
1135C4×D4—1461no—
1136C4×D4—1461no—
1137C4×D4—1461no—
1138C4×D4—1461no—
1139#117—731no—
1140#117—731no—
1141#117—731no—
1142#117—731no—
1143#117—731no—
1144#117—731no—
1145#117—731no—
1146#117—731no—
1147#117—731no—
1148#117—731no—
1149#117—731no—
1150#117—731no—
1151#117—731no—
1152#117—731no—
1153#117—731no—
1154#117—1461no—
1155#117—1461no—
1156#117—1461no—
1157#117—1461no—
1158#117—1461no—
1159#117—1461no—
1160#117—1461no—
1161#117—1461no—
1162#117—1461no—
1163#117—1461no—
1164#117—1461no—
1165#117C22×D7311yescharacteristic
1166#117C22×D7311yescharacteristic
1167C2×C4⋊C4—731no—
1168C2×C4⋊C4—731no—
1169C2×C4⋊C4—731no—
1170C2×C4⋊C4—731no—
1171C2×C4⋊C4—731no—
1172C2×C4⋊C4—731no—
1173C2×C4⋊C4—1461no—
1174C2×C4⋊C4—1461no—
1175C2×C4⋊C4C22×D7311yescharacteristic
1176C2×C22⋊C4—731no—
1177C2×C22⋊C4—731no—
1178C2×C22⋊C4—1461no—
1179C2×C22⋊C4—1461no—
1180C2×C22⋊C4—1461no—
1181C2×C42—731no—
1182C2×C42—731no—
1183C2×C42—1461no—
1184C2×C42—1461no—
1185#107—731no—
1186#107—731no—
1187#107—731no—
1188#107—731no—
1189#107—731no—
1190#107—731no—
1191#107—731no—
1192#107—731no—
1193#107—731no—
1194#107—731no—
1195#107—731no—
1196#107—731no—
1197#107C22×D7311yescharacteristic
1198#107C22×D7311yescharacteristic
1199#107C22×D7311yescharacteristic
1200#107C22×D7311yescharacteristic
1201#106—731no—
1202#106—731no—
1203#106—731no—
1204#106—731no—
1205#106—731no—
1206#106—731no—
1207#106—731no—
1208#106—731no—
1209#106—731no—
1210#106—731no—
1211#106—731no—
1212#106—731no—
1213#106C22×D7311yescharacteristic
1214#106C22×D7311yescharacteristic
1215#106C22×D7311yescharacteristic
1216#106C22×D7311yescharacteristic
1217C4⋊C8—731no—
1218C4⋊C8—731no—
1219C4⋊C8—731no—
1220C4⋊C8—731no—
1221C4⋊C8—731no—
1222C4⋊C8—731no—
1223C4⋊C8C22×D7311yescharacteristic
1224C4⋊C8C22×D7311yescharacteristic
1225#103—731no—
1226#103—731no—
1227#103—731no—
1228#103—731no—
1229#103—731no—
1230#103—731no—
1231#103—731no—
1232#103—731no—
1233#103—731no—
1234#103—731no—
1235#103—731no—
1236#103—731no—
1237#103—731no—
1238#103—731no—
1239#103—731no—
1240#103—731no—
1241#103C22×D7311yescharacteristic
1242#103C22×D7311yescharacteristic
1243#103C22×D7311yescharacteristic
1244#103C22×D7311yescharacteristic
1245#103C22×D7311yescharacteristic
1246#103C22×D7311yescharacteristic
1247#103C22×D7311yescharacteristic
1248#103C22×D7311yescharacteristic
1249#102—731no—
1250#102—731no—
1251#102—731no—
1252#102—731no—
1253#102—731no—
1254#102—731no—
1255#102—731no—
1256#102—731no—
1257C22⋊C8—731no—
1258C22⋊C8—731no—
1259C22⋊C8—731no—
1260C22⋊C8—731no—
1261C22⋊C8—731no—
1262C22⋊C8—731no—
1263C22⋊C8C22×D7311yescharacteristic
1264C22⋊C8C22×D7311yescharacteristic
1265#97—731no—
1266#97—731no—
1267#97—731no—
1268#97C22×D7311yescharacteristic
1269C4×C8—731no—
1270C4×C8—731no—
1271C4×C8—731no—
1272C4×C8C22×D7311yescharacteristic
1273C24—731no—
1274#41—1462no—
1275#41—1462no—
1276C2×Q8—21no—
1277C2×Q8—21no—
1278C2×Q8—731no—
1279C2×Q8—1461no—
1280C2×Q8—1461no—
1281C2×Q8—1461no—
1282C2×Q8—1461no—
1283C2×Q8—1461no—
1284C2×Q8—1461no—
1285C2×Q8—1462no—
1286C2×Q8—1462no—
1287C2×Q8—1461no—
1288C2×Q8—1461no—
1289C2×Q8—1461no—
1290C2×Q8C23×D7311yescharacteristic
1291C2×Q8C23×D7311yescharacteristic
1292C2×D4—731no—
1293C2×D4—1461no—
1294C2×D4—1461no—
1295C2×D4—1461no—
1296C22×C4—21no—
1297C22×C4—731no—
1298C22×C4—731no—
1299C22×C4—731no—
1300C22×C4—731no—
1301C22×C4—731no—
1302C22×C4—731no—
1303C22×C4—731no—
1304C22×C4—731no—
1305C22×C4—731no—
1306C22×C4—1461no—
1307C22×C4—1461no—
1308C22×C4—1461no—
1309C22×C4—1461no—
1310C22×C4—1461no—
1311C22×C4—1461no—
1312C22×C4—1462no—
1313C22×C4—1462no—
1314C22×C4—1461no—
1315C22×C4—1461no—
1316C22×C4C23×D7311yescharacteristic
1317M16—1462no—
1318M16—1462no—
1319C2×C8—731no—
1320C2×C8—731no—
1321C2×C8—731no—
1322C2×C8—731no—
1323C2×C8—1462no—
1324C2×C8—1462no—
1325C2×C8C23×D7311yescharacteristic
1326C2×C8C23×D7311yescharacteristic
1327C2×C8C23×D7311yescharacteristic
1328C2×C8C23×D7311yescharacteristic
1329C4⋊C4—21no—
1330C4⋊C4—21no—
1331C4⋊C4—21no—
1332C4⋊C4—21no—
1333C4⋊C4—21no—
1334C4⋊C4—21no—
1335C4⋊C4—21no—
1336C4⋊C4—21no—
1337C4⋊C4—21no—
1338C4⋊C4—21no—
1339C4⋊C4—21no—
1340C4⋊C4—21no—
1341C4⋊C4—21no—
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—731no—
1345C4⋊C4—731no—
1346C4⋊C4—731no—
1347C4⋊C4—731no—
1348C4⋊C4—731no—
1349C4⋊C4—731no—
1350C4⋊C4—731no—
1351C4⋊C4—731no—
1352C4⋊C4—731no—
1353C4⋊C4—731no—
1354C4⋊C4—731no—
1355C4⋊C4—731no—
1356C4⋊C4—1461no—
1357C4⋊C4—1461no—
1358C4⋊C4—1461no—
1359C4⋊C4—1461no—
1360C4⋊C4—1461no—
1361C4⋊C4—1461no—
1362C4⋊C4—1461no—
1363C4⋊C4—1461no—
1364C4⋊C4—1461no—
1365C4⋊C4—1461no—
1366C4⋊C4—1461no—
1367C4⋊C4—1461no—
1368C4⋊C4—1461no—
1369C4⋊C4—1461no—
1370C4⋊C4—1461no—
1371C4⋊C4—1461no—
1372C4⋊C4—1461no—
1373C4⋊C4—1461no—
1374C4⋊C4—1461no—
1375C4⋊C4—1461no—
1376C4⋊C4—1461no—
1377C4⋊C4—1461no—
1378C4⋊C4—1461no—
1379C4⋊C4—1461no—
1380C4⋊C4—1461no—
1381C4⋊C4—1461no—
1382C4⋊C4—1461no—
1383C4⋊C4—1461no—
1384C4⋊C4—1461no—
1385C4⋊C4—1461no—
1386C4⋊C4—1461no—
1387C4⋊C4—1461no—
1388C4⋊C4—1461no—
1389C4⋊C4—1461no—
1390C4⋊C4—1461no—
1391C4⋊C4—1461no—
1392C4⋊C4D4×D7311yescharacteristic
1393C4⋊C4D4×D7311yescharacteristic
1394C4⋊C4C23×D7311yescharacteristic
1395C4⋊C4C23×D7311yescharacteristic
1396C4⋊C4C23×D7311yescharacteristic
1397C4⋊C4C23×D7311yescharacteristic
1398C4⋊C4C23×D7311yescharacteristic
1399C4⋊C4C23×D7311yescharacteristic
1400C22⋊C4—21no—
1401C22⋊C4—21no—
1402C22⋊C4—21no—
1403C22⋊C4—731no—
1404C22⋊C4—731no—
1405C22⋊C4—731no—
1406C22⋊C4—731no—
1407C22⋊C4—731no—
1408C22⋊C4—731no—
1409C22⋊C4—1461no—
1410C22⋊C4—1461no—
1411C22⋊C4—1461no—
1412C22⋊C4—1461no—
1413C22⋊C4—1461no—
1414C22⋊C4—1461no—
1415C22⋊C4—1461no—
1416C22⋊C4—1461no—
1417C22⋊C4—1461no—
1418C22⋊C4—1461no—
1419C22⋊C4—1461no—
1420C22⋊C4—1461no—
1421C22⋊C4—1461no—
1422C22⋊C4—1461no—
1423C22⋊C4—1461no—
1424C22⋊C4—1461no—
1425C22⋊C4—1461no—
1426C22⋊C4—1461no—
1427C22⋊C4—1461no—
1428C22⋊C4—1461no—
1429C22⋊C4D4×D7311yescharacteristic
1430C22⋊C4D4×D7311yescharacteristic
1431C42—21no—
1432C42—21no—
1433C42—21no—
1434C42—731no—
1435C42—731no—
1436C42—731no—
1437C42—731no—
1438C42—731no—
1439C42—731no—
1440C42—1461no—
1441C42—1461no—
1442C42—1461no—
1443C42—1461no—
1444C42—1461no—
1445C42—1461no—
1446C42—1461no—
1447C42—1461no—
1448C42—1461no—
1449C42—1461no—
1450C42—1461no—
1451C42—1461no—
1452C42C23×D7311yescharacteristic
1453C42C23×D7311yescharacteristic
1454C23—2921no—
1455C23—2921no—
1456C23—731no—
1457C23—731no—
1458C23—1462no—
1459C23—1461no—
1460C23C2×D4×D7311yescharacteristic
1461Q8—21no—
1462Q8—21no—
1463Q8—21no—
1464Q8—21no—
1465Q8—81no—
1466Q8—81no—
1467Q8—2922no—
1468Q8—5841no—
1469Q8—5841no—
1470Q8—5841no—
1471Q8—5841no—
1472Q8—5841no—
1473Q8—5841no—
1474Q8—5841no—
1475Q8—5841no—
1476Q8—1461no—
1477Q8—1461no—
1478D4—2922no—
1479D4—2922no—
1480D4—5841no—
1481D4—1461no—
1482D4—1461no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—81no—
1494C2×C4—2921no—
1495C2×C4—2921no—
1496C2×C4—2921no—
1497C2×C4—2921no—
1498C2×C4—2922no—
1499C2×C4—2922no—
1500C2×C4—5841no—
1501C2×C4—5841no—
1502C2×C4—5841no—
1503C2×C4—5841no—
1504C2×C4—5841no—
1505C2×C4—5841no—
1506C2×C4—731no—
1507C2×C4—732no—
1508C2×C4—732no—
1509C2×C4—731no—
1510C2×C4—731no—
1511C2×C4—731no—
1512C2×C4—731no—
1513C2×C4—731no—
1514C2×C4—1462no—
1515C2×C4—1462no—
1516C2×C4—1461no—
1517C2×C4—1461no—
1518C2×C4—1461no—
1519C2×C4—1461no—
1520C2×C4—1461no—
1521C2×C4—1461no—
1522C2×C4—1461no—
1523C2×C4—1462no—
1524C2×C4—1461no—
1525C2×C4—1461no—
1526C2×C4C2×D4×D7311yescharacteristic
1527C2×C4C2×D4×D7311yescharacteristic
1528C2×C4C2×D4×D7311yescharacteristic
1529C2×C4C2×D4×D7311yescharacteristic
1530C2×C4C2×D4×D7311yescharacteristic
1531C2×C4C24×D7311yescharacteristic
1532C8—21no—
1533C8—21no—
1534C8—21no—
1535C8—21no—
1536C8—1461no—
1537C8—1461no—
1538C8—1461no—
1539C8—1461no—
1540C22—21no—
1541C22—21no—
1542C22—21no—
1543C22—2921no—
1544C22—2921no—
1545C22—2921no—
1546C22—5842no—
1547C22—732no—
1548C22—1461no—
1549C22—1461no—
1550C22—1461no—
1551C22—1461no—
1552C22—1461no—
1553C22C22×D4×D7311yescharacteristic
1554C4—21no—
1555C4—21no—
1556C4—21no—
1557C4—21no—
1558C4—21no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—2921no—
1568C4—2921no—
1569C4—2921no—
1570C4—2921no—
1571C4—2921no—
1572C4—2921no—
1573C4—2921no—
1574C4—732no—
1575C4—1461no—
1576C4—1461no—
1577C4—1461no—
1578C4—1461no—
1579C4—1461no—
1580C42−1+4×D7311yescharacteristic
1581C42−1+4×D7311yescharacteristic
1582C2—41no—
1583C2—2921no—
1584C2—5841no—
1585C2—1462no—
1586C2#536×D7311yescharacteristic
1587C2#2262470311yescharacteristic
1588C2#2262471611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3242C2
socleC22×C73C23×D4
prime radical#17989100C22
hypercenter#3242D73
hypocenterC73#60876
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3242

Complements

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

NH ≅ G/Ntype
2. #22623335C2semidirect
3. #22621235C2semidirect
4. #22621231C2semidirect
5. #22621218C2semidirect
6. #22621214C2semidirect
7. #22621205C2semidirect
8. #22621195C2semidirect
9. #22621193C2semidirect
10. #22621176C2semidirect
11. #22621172C2semidirect
12. #22621143C2semidirect
13. #22621140C2semidirect
14. #22621114C2semidirect
15. #22621111C2semidirect
16. #22621089C2semidirect
17. #22621085C2semidirect
18. #22620466C2semidirect
19. #22620460C2semidirect
20. #22620297C2semidirect
21. #22620291C2semidirect
22. #22619876C2semidirect
25. #485×D73C2semidirect
26. #22619796C2semidirect
27. #22619779C2semidirect
28. #22619770C2semidirect
29. #22619766C2semidirect
30. #22618587C2semidirect
31. C73×#3242C2semidirect
75. #17988997C22semidirect
76. #17988997C22semidirect
77. #17988996C22semidirect
78. #17988995C22semidirect
79. #17988995C22semidirect
80. #17988995C22semidirect
81. #17988994C22semidirect
82. #17988991C22semidirect
83. #17988990C22semidirect
84. #17988987C22semidirect
85. #17988987C22semidirect
86. #17988986C22semidirect
87. #17988985C22semidirect
88. #17988984C22semidirect
89. #17988955C22semidirect
90. #17988954C22semidirect
91. #17988954C22semidirect
92. #17988949C22semidirect
93. #17988948C22semidirect
94. #17988948C22semidirect
95. #17988947C22semidirect
96. #17988944C22semidirect
97. #17988943C22semidirect
98. #17988943C22semidirect
99. #17988942C22semidirect
100. #17988937C22semidirect
101. #17988936C22semidirect
102. #17988936C22semidirect
131. #17988897C22semidirect
132. #17988897C22semidirect
133. #17988895C22semidirect
134. #17988894C22semidirect
135. #17988894C22semidirect
136. #17988892C22semidirect
137. #17988892C22semidirect
138. #17988892C22semidirect
139. #17988892C22semidirect
140. #17988891C22semidirect
141. #17988890C22semidirect
142. #17988890C22semidirect
143. #17988888C22semidirect
144. #17988884C22semidirect
145. #17988882C22semidirect
146. #17988881C22semidirect
147. #17988880C22semidirect
148. #17988880C22semidirect
149. #17988879C22semidirect
150. #17988878C22semidirect
151. #17988876C22semidirect
152. #17988873C22semidirect
153. #17988872C22semidirect
154. #17988871C22semidirect
155. #17988870C22semidirect
156. #17988870C22semidirect
157. #17988866C22semidirect
158. #17988864C22semidirect
190. #501×C73C22semidirect
191. #499×C73C22semidirect
192. #491×C73C22semidirect
193. #487×C73C22semidirect
198. #479×C73C22semidirect
199. #479×C73C22semidirect
200. #477×C73C22semidirect
201. #475×C73C22semidirect
804. #3242D73semidirect
826. C73#60876semidirect
879. #501C2×D73semidirect
885. #499C2×D73semidirect
891. #491C2×D73semidirect
903. #487C2×D73semidirect
946. #479C2×D73semidirect
947. #479C2×D73semidirect
957. #477C2×D73semidirect
965. #475C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226236752
#226233352
#226212352
#226212312
#226212182
#226212142
#226212052
#226211952
#226211932
#226211762
#226211722
#226211432
#226211402
#226211142
#226211112
#226210892
#226210852
#226204662
#226204602
#226202972
#226202912
#226198762
#226198632
#226198452
#485×D732
#226197962
#226197792
#226197702
#226197662
#226185872
C73×#32422
#6087673