Finite Group Databasebeta

← #33958445

Subgroups — #33958445

Order 18688.

1700 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623654C211yesmaximal, characteristic
2#22623334C211yesmaximal, characteristic, complemented
3#22621236C211yesmaximal, characteristic, complemented
4#22621224C211yesmaximal, characteristic, complemented
5#22621221C211yesmaximal, characteristic, complemented
6#22621209C211yesmaximal, characteristic, complemented
7#22621189C211yesmaximal, characteristic, complemented
8#22621185C211yesmaximal, characteristic, complemented
9#22621185C211yesmaximal, characteristic, complemented
10#22621181C211yesmaximal, characteristic, complemented
11#22621175C211yesmaximal, characteristic, complemented
12#22621131C211yesmaximal, characteristic, complemented
13#22621126C211yesmaximal, characteristic, complemented
14#22621113C211yesmaximal, characteristic, complemented
15#22621106C211yesmaximal, characteristic, complemented
16#22621067C211yesmaximal, characteristic, complemented
17#22621065C211yesmaximal, characteristic, complemented
18#22620466C211yesmaximal, characteristic, complemented
19#22620458C211yesmaximal, characteristic, complemented
20#22620282C211yesmaximal, characteristic, complemented
21#22620282C211yesmaximal, characteristic, complemented
22#22619870C211yesmaximal, characteristic, complemented
23#22619863C211yesmaximal, characteristic, complemented
24#22619849C211yesmaximal, characteristic, complemented
25#482×D73C211yesmaximal, characteristic, complemented
26#22619796C211yesmaximal, characteristic, complemented
27#22619785C211yesmaximal, characteristic, complemented
28#22619761C211yesmaximal, characteristic, complemented
29#22619759C211yesmaximal, characteristic, complemented
30#22618590C211yesmaximal, characteristic, complemented
31C73×#3240C211yesmaximal, characteristic, complemented
32#17989300—21no—
33#17989288—21no—
34#17989286—21no—
35#17989262—21no—
36#17989261—21no—
37#17989235—21no—
38#17989232—21no—
39#17989229—21no—
40#17989217C2211yescharacteristic
41#17989217C2211yescharacteristic
42#17989217C2211yescharacteristic
43#17989217C2211yescharacteristic, complemented
44#17989217C2211yescharacteristic, complemented
45#17989216—21no—
46#17989216—21no—
47#17989214C2211yescharacteristic
48#17989214C2211yescharacteristic
49#17989214C2211yescharacteristic, complemented
50#17989214C2211yescharacteristic, complemented
51#17989212—21no—
52#17989212—21no—
53#17989209C2211yescharacteristic
54#17989206C2211yescharacteristic
55#17989193C2211yescharacteristic
56#17989188C2211yescharacteristic
57#17989155C2211yescharacteristic
58#17989144C2211yescharacteristic, complemented
59#17989141—21no—
60#17989141—21no—
61#17989141—21no—
62#17989141—21no—
63#17989140C2211yescharacteristic, complemented
64#17989140C2211yescharacteristic, complemented
65#17989137C2211yescharacteristic
66#17989132C2211yescharacteristic
67#17989123C2211yescharacteristic
68#17989100C2211yescharacteristic
69#121×D73C2211yescharacteristic
70#17989069C2211yescharacteristic
71#17989059C2211yescharacteristic
72C2×#14556548C2211yescharacteristic
73#117×D73C2211yescharacteristic
74#117×D73C2211yescharacteristic
75#17988996C2211yescharacteristic, complemented
76#17988996C2211yescharacteristic, complemented
77#17988995C2211yescharacteristic, complemented
78#17988995C2211yescharacteristic, complemented
79#17988994C2211yescharacteristic, complemented
80#17988994C2211yescharacteristic, complemented
81#17988991C2211yescharacteristic, complemented
82#17988990C2211yescharacteristic, complemented
83#17988988C2211yescharacteristic, complemented
84#17988987C2211yescharacteristic, complemented
85#17988986C2211yescharacteristic, complemented
86#17988986C2211yescharacteristic, complemented
87#17988984C2211yescharacteristic, complemented
88#17988983C2211yescharacteristic, complemented
89#17988952C2211yescharacteristic, complemented
90#17988952C2211yescharacteristic, complemented
91#17988950C2211yescharacteristic, complemented
92#17988950C2211yescharacteristic, complemented
93#17988948C2211yescharacteristic, complemented
94#17988948C2211yescharacteristic, complemented
95#17988943C2211yescharacteristic, complemented
96#17988943C2211yescharacteristic, complemented
97#17988941C2211yescharacteristic, complemented
98#17988941C2211yescharacteristic, complemented
99#17988935C2211yescharacteristic, complemented
100#17988935C2211yescharacteristic, complemented
101#17988932C2211yescharacteristic, complemented
102#17988932C2211yescharacteristic, complemented
103#17988927C2211yescharacteristic, complemented
104#17988926C2211yescharacteristic, complemented
105#17988925C2211yescharacteristic, complemented
106#17988925C2211yescharacteristic, complemented
107#17988921C2211yescharacteristic, complemented
108#17988916C2211yescharacteristic, complemented
109#17988914C2211yescharacteristic
110#17988914C2211yescharacteristic, complemented
111#17988913C2211yescharacteristic
112#17988913C2211yescharacteristic, complemented
113#17988912C2211yescharacteristic
114#17988912C2211yescharacteristic
115#17988912C2211yescharacteristic, complemented
116#17988912C2211yescharacteristic, complemented
117#17988911C2211yescharacteristic
118#17988911C2211yescharacteristic
119#17988911C2211yescharacteristic, complemented
120#17988911C2211yescharacteristic, complemented
121#17988910C2211yescharacteristic
122#17988909C2211yescharacteristic
123#17988908C2211yescharacteristic
124#17988908C2211yescharacteristic
125#17988907C2211yescharacteristic
126#17988907C2211yescharacteristic, complemented
127#17988904C2211yescharacteristic
128#17988902C2211yescharacteristic
129#17988902C2211yescharacteristic, complemented
130#17988899C2211yescharacteristic
131#17988896C2211yescharacteristic, complemented
132#17988892C2211yescharacteristic, complemented
133#17988890C2211yescharacteristic, complemented
134#17988890C2211yescharacteristic, complemented
135#17988889C2211yescharacteristic, complemented
136#17988886C2211yescharacteristic, complemented
137#17988886C2211yescharacteristic, complemented
138#17988885C2211yescharacteristic, complemented
139#17988884C2211yescharacteristic, complemented
140#17988884C2211yescharacteristic, complemented
141#17988884C2211yescharacteristic, complemented
142#17988884C2211yescharacteristic, complemented
143#17988882C2211yescharacteristic, complemented
144#17988880C2211yescharacteristic, complemented
145#17988878C2211yescharacteristic, complemented
146#17988878C2211yescharacteristic, complemented
147#17988877C2211yescharacteristic, complemented
148#17988876C2211yescharacteristic, complemented
149#17988876C2211yescharacteristic, complemented
150#17988875C2211yescharacteristic, complemented
151#17988872C2211yescharacteristic, complemented
152#17988870C2211yescharacteristic, complemented
153#17988868C2211yescharacteristic, complemented
154#17988868C2211yescharacteristic, complemented
155#17988867C2211yescharacteristic, complemented
156#17988866C2211yescharacteristic, complemented
157#17988866C2211yescharacteristic, complemented
158#17988865C2211yescharacteristic, complemented
159#17988649C2211yescharacteristic, complemented
160#17988649C2211yescharacteristic, complemented
161#17988647C2211yescharacteristic, complemented
162#17988647C2211yescharacteristic, complemented
163#17988641C2211yescharacteristic, complemented
164#17988640C2211yescharacteristic, complemented
165#17988637C2211yescharacteristic, complemented
166#17988628C2211yescharacteristic
167#17988628C2211yescharacteristic
168#17988626C2211yescharacteristic
169#17988626C2211yescharacteristic
170#17988624C2211yescharacteristic
171#17988622C2211yescharacteristic
172#107×D73C2211yescharacteristic
173#106×D73C2211yescharacteristic
174#17988612C2211yescharacteristic
175#17988612C2211yescharacteristic
176#17988590C2211yescharacteristic
177#17988590C2211yescharacteristic
178#17988587C2211yescharacteristic
179#17988587C2211yescharacteristic
180#17988582C2211yescharacteristic
181#17988582C2211yescharacteristic
182#102×D73C2211yescharacteristic
183#102×D73C2211yescharacteristic
184#17988549C2211yescharacteristic
185C22⋊C8×D73C2211yescharacteristic
186#17988544C2211yescharacteristic
187#17988544C2211yescharacteristic
188#533×C73C2211yescharacteristic, complemented
189#529×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#501×C73C2211yescharacteristic, complemented
192#489×C73C2211yescharacteristic, complemented
193#489×C73C2211yescharacteristic, complemented
194#485×C73C2211yescharacteristic, complemented
195#485×C73C2211yescharacteristic, complemented
196#482×C73C2211yescharacteristic
197#482×C73C2211yescharacteristic
198#479×C73C2211yescharacteristic, complemented
199#479×C73C2211yescharacteristic, complemented
200#478×C73C2211yescharacteristic, complemented
201#478×C73C2211yescharacteristic, complemented
202#432×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924027—21no—
206C2×D4×D73—21no—
207C2×D4×D73C2311yescharacteristic
208C22×C4×D73C2311yescharacteristic
209C2×#11924011C2311yescharacteristic
210C2×#11924011C2311yescharacteristic
211C2×C8×D73C2311yescharacteristic
212C2×C8×D73C2311yescharacteristic
213#14556591C2311yescharacteristic
214#14556591C2311yescharacteristic
215#14556591C2311yescharacteristic
216#14556590—21no—
217#14556590—21no—
218#14556590—21no—
219#14556590—21no—
220#14556590—21no—
221#14556590C2311yescharacteristic
222#14556590C2311yescharacteristic
223#14556590C2311yescharacteristic
224#14556590C2311yescharacteristic
225#14556590C2311yescharacteristic
226#14556589—21no—
227#14556589—21no—
228#14556589—21no—
229#14556589—21no—
230#14556588C2311yescharacteristic
231#14556587C2311yescharacteristic
232#14556586—21no—
233#14556585—21no—
234#14556584—21no—
235#14556583C2311yescharacteristic
236#14556583C2311yescharacteristic
237#14556582C2311yescharacteristic
238#14556582C2311yescharacteristic
239#14556582C2311yescharacteristic
240#14556582C2311yescharacteristic
241#14556582C2311yescharacteristic
242#14556581—21no—
243#14556581—21no—
244#14556581—21no—
245#14556581—21no—
246#14556581—21no—
247#14556581—21no—
248#14556581—21no—
249#14556581—21no—
250#14556581—21no—
251#14556580C2311yescharacteristic
252#14556579—21no—
253#14556579—21no—
254#14556577—21no—
255#14556577—21no—
256#14556576—21no—
257#14556576—21no—
258#14556576—21no—
259#14556576—21no—
260#14556575—21no—
261#14556575—21no—
262#14556574—21no—
263#14556573—21no—
264#14556571—21no—
265#14556571—21no—
266#14556571—21no—
267#14556571—21no—
268#14556571—21no—
269#14556570—21no—
270#14556570—21no—
271#14556569—21no—
272#14556569—21no—
273#14556569—21no—
274#14556569—21no—
275#14556569—21no—
276#14556569—21no—
277#14556569—21no—
278#14556569—21no—
279#14556569—21no—
280#14556569—21no—
281#14556568—21no—
282#14556568—21no—
283#14556568—21no—
284#14556568—21no—
285#14556568—21no—
286#14556567—21no—
287#14556567—21no—
288#14556567—21no—
289#14556567—21no—
290#14556567C2311yescharacteristic
291#14556566—21no—
292#14556566—21no—
293#14556566C2311yescharacteristic
294#14556566C2311yescharacteristic
295#14556565—21no—
296#14556565—21no—
297#14556565C2311yescharacteristic
298#14556565C2311yescharacteristic
299#14556564—21no—
300#14556564—21no—
301#14556564—21no—
302#14556564—21no—
303#14556563—21no—
304#14556563—21no—
305#14556562C2311yescharacteristic
306#14556561—21no—
307#14556561—21no—
308#14556561—21no—
309Q8×Dic73C2311yescharacteristic
310C4×Dic146—21no—
311C4×Dic146—21no—
312C4×Dic146—21no—
313C4×Dic146—21no—
314C4×Dic146—21no—
315C4×Dic146—21no—
316C4×D292—21no—
317C4×D292—21no—
318C4×D292C2311yescharacteristic
319C4×D292C2311yescharacteristic
320D4×Dic73C2311yescharacteristic
321#14556553—21no—
322#14556553—21no—
323#14556553C2311yescharacteristic
324#14556553C2311yescharacteristic
325C4×C22⋊D73—21no—
326#14556551—21no—
327#14556551—21no—
328#14556551—21no—
329#14556551—21no—
330#14556550C2311yescharacteristic
331#14556550C2311yescharacteristic
332#14556549—21no—
333#14556549C2311yescharacteristic
334#14556549C2311yescharacteristic
335#14556549C2311yescharacteristic
336#14556549C2311yescharacteristic
337#14556549C2311yescharacteristic
338#14556548—21no—
339#14556548—21no—
340#14556548—21no—
341#14556548D411yescharacteristic
342#14556548D411yescharacteristic
343#14556548D411yescharacteristic
344#14556548D411yescharacteristic
345#14556548C2311yescharacteristic
346#14556548C2311yescharacteristic
347#14556548C2311yescharacteristic
348#14556548C2311yescharacteristic
349#14556547—21no—
350#14556547—21no—
351C2×#11924007D411yescharacteristic
352C2×#11924007D411yescharacteristic
353C4⋊C4×D73—21no—
354C4⋊C4×D73C2311yescharacteristic
355C4⋊C4×D73C2311yescharacteristic
356C4⋊C4×D73C2311yescharacteristic
357C4⋊C4×D73C2311yescharacteristic
358C4⋊C4×D73C2311yescharacteristic
359C2×#11924005—21no—
360C2×#11924005D411yescharacteristic
361C2×#11924005D411yescharacteristic
362C22⋊C4×D73—21no—
363C22⋊C4×D73—21no—
364C22⋊C4×D73—21no—
365C22⋊C4×D73—21no—
366C2×C4×Dic73C2311yescharacteristic
367C42×D73—21no—
368C42×D73—21no—
369#14556525C2311yescharacteristic
370#14556525C2311yescharacteristic
371#14556525C2311yescharacteristic
372#14556525C2311yescharacteristic
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#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#14556515C2311yescharacteristic
400#14556515C2311yescharacteristic
401#14556515C2311yescharacteristic
402#14556515C2311yescharacteristic
403#14556513C2311yescharacteristic
404#14556513C2311yescharacteristic
405#14556513C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556512C2311yescharacteristic
412#14556512C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556511C2311yescharacteristic
416#14556511C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423C22⋊#10596831C2311yescharacteristic
424C22⋊#10596831C2311yescharacteristic
425#14556503C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556501C2311yescharacteristic
430#14556501C2311yescharacteristic
431C4×#10596831C2311yescharacteristic
432C4×#10596831C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C4⋊Q8×C73C2311yescharacteristic
436C4⋊Q8×C73C2311yescharacteristic
437#126×C73—21no—
438#125×C73C2311yescharacteristic
439#125×C73C2311yescharacteristic
440#125×C73C2311yescharacteristic
441#124×C73C2311yescharacteristic
442#123×C73—21no—
443C22⋊Q8×C73—21no—
444C22⋊Q8×C73—21no—
445C22⋊Q8×C73C2311yescharacteristic
446#121×C73C2311yescharacteristic
447C4×Q8×C73—21no—
448C4×Q8×C73—21no—
449C4×Q8×C73C2311yescharacteristic
450C4×D4×C73—21no—
451C4×D4×C73C2311yescharacteristic
452#117×C73—21no—
453#117×C73C2311yescharacteristic
454#117×C73C2311yescharacteristic
455C2×C42×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#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474C22⋊C8×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476#97×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478C23×D73—21no—
479C23×D73C2×D411yescharacteristic
480#11924029—22no—
481#11924029—22no—
482#11924028—82no—
483#11924027—82no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×D292—21no—
493C2×D292—21no—
494C2×D292—21no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292C2411yescharacteristic
498C2×D292C2411yescharacteristic
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505D4×D73—22no—
506D4×D73—22no—
507D4×D73—82no—
508C22×Dic73—21no—
509C22×Dic73C2×D411yescharacteristic
510C22×Dic73C2×D411yescharacteristic
511C22×Dic73C2×D411yescharacteristic
512C2×C4×D73—22no—
513C2×C4×D73—22no—
514C2×C4×D73—21no—
515C2×C4×D73—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×D73C2×D411yescharacteristic
525C2×C4×D73C2×D411yescharacteristic
526C2×C4×D73C2411yescharacteristic
527C2×C4×D73C2411yescharacteristic
528#11924011—22no—
529#11924011—22no—
530C2×#10596831C2411yescharacteristic
531C2×#10596831C2411yescharacteristic
532C2×#10596831C2411yescharacteristic
533C2×#10596831C2411yescharacteristic
534C8×D73—22no—
535C8×D73—22no—
536C4⋊Dic73—21no—
537C4⋊Dic73—21no—
538C4⋊Dic73—21no—
539C4⋊Dic73—21no—
540C4⋊Dic73—21no—
541C4⋊Dic73—21no—
542C4⋊Dic73—21no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73C2411yescharacteristic
546C4⋊Dic73C2411yescharacteristic
547C4⋊Dic73C2411yescharacteristic
548C4⋊Dic73C2411yescharacteristic
549C4⋊Dic73C2411yescharacteristic
550C4⋊Dic73C2411yescharacteristic
551#11924007—21no—
552#11924007—21no—
553#11924007—21no—
554#11924007—21no—
555#11924007—21no—
556#11924007—21no—
557#11924007—21no—
558#11924007—21no—
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007C2×D411yescharacteristic
572#11924007C2×D411yescharacteristic
573#11924007C2×D411yescharacteristic
574#11924007C2×D411yescharacteristic
575#11924007C2×D411yescharacteristic
576#11924007C2×D411yescharacteristic
577#11924007C2×D411yescharacteristic
578#11924007C2×D411yescharacteristic
579C22⋊Dic73—21no—
580C22⋊Dic73—21no—
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
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#11924005—21no—
595#11924005—21no—
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005C2×D411yescharacteristic
600#11924005C2×D411yescharacteristic
601#11924005C2×D411yescharacteristic
602#11924005C2×D411yescharacteristic
603#11924005C2×D411yescharacteristic
604#11924005C2×D411yescharacteristic
605#11924005C2×D411yescharacteristic
606#11924005C2×D411yescharacteristic
607C4×Dic73—21no—
608C4×Dic73—21no—
609C4×Dic73—21no—
610C4×Dic73—21no—
611C4×Dic73—21no—
612C4×Dic73—21no—
613C4×Dic73—21no—
614C4×Dic73—21no—
615C4×Dic73C2×D411yescharacteristic
616C4×Dic73C2×D411yescharacteristic
617C4×Dic73C2411yescharacteristic
618C4×Dic73C2411yescharacteristic
619C2×Q8×C73—21no—
620C2×Q8×C73—21no—
621C2×Q8×C73C2411yescharacteristic
622C2×D4×C73—21no—
623C2×D4×C73C2411yescharacteristic
624C22×C4×C73—21no—
625C22×C4×C73C2×D411yescharacteristic
626C22×C4×C73C2×D411yescharacteristic
627C22×C4×C73C2411yescharacteristic
628C2×C8×C73C2411yescharacteristic
629C2×C8×C73C2411yescharacteristic
630C2×C8×C73C2411yescharacteristic
631C2×C8×C73C2411yescharacteristic
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×C73—21no—
642C4⋊C4×C73C2411yescharacteristic
643C4⋊C4×C73C2411yescharacteristic
644C4⋊C4×C73C2411yescharacteristic
645C4⋊C4×C73C2411yescharacteristic
646C4⋊C4×C73C2411yescharacteristic
647C4⋊C4×C73C2411yescharacteristic
648C22⋊C4×C73—21no—
649C22⋊C4×C73—21no—
650C22⋊C4×C73—21no—
651C22⋊C4×C73—21no—
652C22⋊C4×C73—21no—
653C22⋊C4×C73—21no—
654C22⋊C4×C73—21no—
655C42×C73—21no—
656C42×C73—21no—
657C42×C73—21no—
658C42×C73C2×D411yescharacteristic
659C42×C73C2×D411yescharacteristic
660C42×C73C2411yescharacteristic
661C42×C73C2411yescharacteristic
662C23×C73—21no—
663C23×C73C22×D411yescharacteristic
664C22×D73—22no—
665C22×D73—21no—
666C22×D73—21no—
667C22×D73—41no—
668C22×D73—41no—
669C22×D73—42no—
670C22×D73—81no—
671C22×D73—81no—
672C22×D73C22×D411yescharacteristic
673C22×D73C22×D411yescharacteristic
674Q8×C73—21no—
675Q8×C73—21no—
676Q8×C73—81no—
677Q8×C73—81no—
678D4×C73—21no—
679D4×C73—21no—
680D4×C73—42no—
681C2×C4×C73—21no—
682C2×C4×C73—21no—
683C2×C4×C73—21no—
684C2×C4×C73—21no—
685C2×C4×C73—21no—
686C2×C4×C73—21no—
687C2×C4×C73—21no—
688C2×C4×C73—21no—
689C2×C4×C73—21no—
690C2×C4×C73—41no—
691C2×C4×C73—41no—
692C2×C4×C73—81no—
693C2×C4×C73C22×D411yescharacteristic
694C2×C4×C73C22×D411yescharacteristic
695C2×C4×C73C22×D411yescharacteristic
696C2×C4×C73C22×D411yescharacteristic
697C2×C4×C73C22×D411yescharacteristic
698C2×C4×C73C2511yescharacteristic
699C22⋊D73—42no—
700C22⋊D73—42no—
701C22⋊D73—42no—
702C22⋊D73—81no—
703C22⋊D73—81no—
704C22⋊D73—81no—
705C2×Dic73—22no—
706C2×Dic73—21no—
707C2×Dic73—21no—
708C2×Dic73—21no—
709C2×Dic73—21no—
710C2×Dic73—21no—
711C2×Dic73—21no—
712C2×Dic73—41no—
713C2×Dic73—41no—
714C2×Dic73—81no—
715C2×Dic73C22×D411yescharacteristic
716C2×Dic73C22×D411yescharacteristic
717C2×Dic73C22×D411yescharacteristic
718C2×Dic73C22×D411yescharacteristic
719C2×Dic73C22×D411yescharacteristic
720C2×Dic73C22×D411yescharacteristic
721D292—21no—
722D292—21no—
723D292—21no—
724D292—21no—
725D292—42no—
726D292—81no—
727D292—81no—
728D292—81no—
729D292—81no—
730C4×D73—22no—
731C4×D73—21no—
732C4×D73—21no—
733C4×D73—22no—
734C4×D73—42no—
735C4×D73—81no—
736C4×D73—81no—
737C4×D73—81no—
738C4×D73—81no—
739C4×D73—81no—
740C4×D73—81no—
741C4×D73—81no—
742C4×D73—81no—
743C4×D73—81no—
744C4×D732−1+412yes—
745C4×D732−1+412yes—
746Dic146—81no—
747Dic146—81no—
748Dic146—81no—
749Dic146—81no—
750Dic146—81no—
751Dic146—81no—
752Dic146—81no—
753Dic146—81no—
754C8×C73—21no—
755C8×C73—21no—
756C8×C73—21no—
757C8×C73—21no—
758#10596831—21no—
759#10596831—21no—
760#10596831—21no—
761#10596831—21no—
762C22×C73—21no—
763C22×C73—21no—
764C22×C73—21no—
765C22×C73—41no—
766C22×C73—41no—
767C22×C73—41no—
768C22×C73C23×D411yescharacteristic
769C2×D73—21no—
770C2×D73—21no—
771C2×D73—21no—
772C2×D73—21no—
773C2×D73—21no—
774C2×D73—41no—
775C2×D73—41no—
776C2×D73—41no—
777C2×D73—41no—
778C2×D73—41no—
779C2×D73—41no—
780C2×D73—82no—
781C2×D73—162no—
782C2×D73#53612yes—
783C4×C73—21no—
784C4×C73—21no—
785C4×C73—21no—
786C4×C73—21no—
787C4×C73—21no—
788C4×C73—41no—
789C4×C73—41no—
790C4×C73—41no—
791C4×C73—41no—
792C4×C73—41no—
793C4×C73—41no—
794C4×C73—41no—
795C4×C73C2×2−1+411yescharacteristic
796C4×C73C2×2−1+411yescharacteristic
797Dic73—21no—
798Dic73—21no—
799Dic73—21no—
800Dic73—21no—
801Dic73—21no—
802Dic73—41no—
803Dic73—41no—
804Dic73—41no—
805Dic73—41no—
806Dic73—41no—
807Dic73—41no—
808Dic73#53612yes—
809#60875—731nomaximal, Sylow
810C2×C73—41no—
811C2×C73—81no—
812C2×C73C2×#53611yescharacteristic
813C2×C73#358411yescharacteristic
814C2×C73#358511yescharacteristic
815D73—22no—
816D73—41no—
817D73—81no—
818D73—81no—
819#3494—731no—
820#3458—731no—
821#3244—731no—
822#3244—731no—
823#3243—731no—
824#3243—731no—
825#3241—731no—
826#3241—731no—
827#3241—731no—
828#3241—731no—
829#3240—731no—
830#3240D7311yescharacteristic, complemented
831#3235—731no—
832#3235—731no—
833#3233—731no—
834#3233—731no—
835#3228—731no—
836#3228—731no—
837#3164—731no—
838#3163—731no—
839#3136—731no—
840#3136—731no—
841#3094—731no—
842#3093—731no—
843#3091—731no—
844C2×#482—731no—
845#3084—731no—
846#3083—731no—
847#3081—731no—
848#3081—731no—
849#2924—731no—
850C73#6087511yescharacteristic, complemented, Sylow
851#555—1461no—
852#553—1461no—
853#553—1461no—
854#551—1461no—
855#551—1461no—
856#547—1461no—
857#546—1461no—
858#546—1461no—
859#544—731no—
860#544—731no—
861#544—731no—
862#544—731no—
863#544—731no—
864#544—731no—
865#544—731no—
866#544—731no—
867#544—731no—
868#544—1461no—
869#544—1461no—
870#543—1461no—
871#543—1461no—
872#542—731no—
873#542—731no—
874#540—731no—
875#540—731no—
876#535—731no—
877#533—731no—
878#533—731no—
879#533—731no—
880#533—1461no—
881#533—1461no—
882#533—1461no—
883#533—1461no—
884#533C2×D7311yescharacteristic, complemented
885#532—731no—
886#532—731no—
887#529—731no—
888#529C2×D7311yescharacteristic
889#525—731no—
890C2×#121—731no—
891#520—731no—
892#518—731no—
893C2×#117—731no—
894C2×#117—731no—
895C2×#117—731no—
896#501—731no—
897#501—731no—
898#501—731no—
899#501—731no—
900#501—731no—
901#501—731no—
902#501C2×D7311yescharacteristic, complemented
903#501C2×D7311yescharacteristic, complemented
904#500—731no—
905#500—731no—
906#499—731no—
907#499—731no—
908#499—731no—
909#499—731no—
910#498—731no—
911#498—731no—
912#490—731no—
913#490—731no—
914#490—731no—
915#490—731no—
916#489—731no—
917#489—731no—
918#489C2×D7311yescharacteristic, complemented
919#489C2×D7311yescharacteristic, complemented
920#488—731no—
921#488—731no—
922#488—731no—
923#488—731no—
924#486—731no—
925#486—731no—
926#486—731no—
927#486—731no—
928#485—731no—
929#485—731no—
930#485—731no—
931#485—731no—
932#485C2×D7311yescharacteristic, complemented
933#485C2×D7311yescharacteristic, complemented
934#484—731no—
935#483—731no—
936#482—731no—
937#482—731no—
938#482—731no—
939#482—731no—
940#482—731no—
941#482—731no—
942#482—731no—
943#482—731no—
944#482—731no—
945#482—731no—
946#482—731no—
947#482—731no—
948#482—731no—
949#482—731no—
950#482—731no—
951#482—731no—
952#482C2×D7311yescharacteristic
953#482C2×D7311yescharacteristic
954#481—731no—
955#481—731no—
956#481—731no—
957#480—731no—
958#480—731no—
959#480—731no—
960#479—731no—
961#479—731no—
962#479C2×D7311yescharacteristic, complemented
963#479C2×D7311yescharacteristic, complemented
964#478—731no—
965#478—731no—
966#478—731no—
967#478—731no—
968#478—731no—
969#478—731no—
970#478—731no—
971#478—731no—
972#478—731no—
973#478—731no—
974#478C2×D7311yescharacteristic, complemented
975#478C2×D7311yescharacteristic, complemented
976#477—731no—
977#477—731no—
978#476—731no—
979#476—731no—
980#476—731no—
981#476—731no—
982#476—731no—
983#476—731no—
984#475—731no—
985#475—731no—
986#474—731no—
987#474—731no—
988#474—731no—
989#474—731no—
990#474—731no—
991#474—731no—
992#433—731no—
993#433—731no—
994#433—731no—
995#433—731no—
996#432—731no—
997#432C2×D7311yescharacteristic, complemented
998#431—731no—
999#431—731no—
1000#428—731no—
1001#428—731no—
1002#428—731no—
1003#428—731no—
1004#427—731no—
1005#427—731no—
1006C2×#107—731no—
1007C2×#106—731no—
1008#424—731no—
1009#424—731no—
1010#418—731no—
1011#418—731no—
1012#417—731no—
1013#417—731no—
1014#416—731no—
1015#416—731no—
1016C2×#102—731no—
1017C2×#102—731no—
1018#407—731no—
1019C2×C22⋊C8—731no—
1020#405—731no—
1021#405—731no—
1022C2×#41—731no—
1023C2×#41—1461no—
1024C2×#41—1461no—
1025C22×D4—731no—
1026C22×D4—1461no—
1027C23×C4—731no—
1028C2×M16—731no—
1029C2×M16—731no—
1030C22×C8—731no—
1031C22×C8—731no—
1032C4⋊Q8—731no—
1033C4⋊Q8—731no—
1034C4⋊Q8—731no—
1035C4⋊Q8—731no—
1036C4⋊Q8—731no—
1037C4⋊Q8—731no—
1038C4⋊Q8—731no—
1039C4⋊Q8—731no—
1040C4⋊Q8—1461no—
1041C4⋊Q8—1461no—
1042C4⋊Q8—1461no—
1043C4⋊Q8—1461no—
1044C4⋊Q8—1461no—
1045C4⋊Q8—1461no—
1046C4⋊Q8—1461no—
1047C4⋊Q8—1461no—
1048C4⋊Q8—1461no—
1049C4⋊Q8C22×D7311yescharacteristic
1050C4⋊Q8C22×D7311yescharacteristic
1051#127—731no—
1052#127—731no—
1053#126—21no—
1054#126—1461no—
1055#126—1461no—
1056#126—1461no—
1057#125—731no—
1058#125—731no—
1059#125—731no—
1060#125—731no—
1061#125—731no—
1062#125—731no—
1063#125—731no—
1064#125—1461no—
1065#125—1461no—
1066#125—1461no—
1067#125—1461no—
1068#125—1461no—
1069#125—1461no—
1070#125—1461no—
1071#125—1461no—
1072#125—1461no—
1073#125C22×D7311yescharacteristic
1074#125C22×D7311yescharacteristic
1075#125C22×D7311yescharacteristic
1076#124—731no—
1077#124—1461no—
1078#124—1461no—
1079#124—1461no—
1080#124—1461no—
1081#124C22×D7311yescharacteristic
1082#123—21no—
1083#123—1461no—
1084#123—1461no—
1085#123—1461no—
1086#123—1461no—
1087#123—1461no—
1088#123—1461no—
1089#123—1461no—
1090#123—1461no—
1091C22⋊Q8—21no—
1092C22⋊Q8—21no—
1093C22⋊Q8—731no—
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⋊Q8—1461no—
1109C22⋊Q8—1461no—
1110C22⋊Q8—1461no—
1111C22⋊Q8—1461no—
1112C22⋊Q8—1461no—
1113C22⋊Q8—1461no—
1114C22⋊Q8—1461no—
1115C22⋊Q8—1461no—
1116C22⋊Q8—1461no—
1117C22⋊Q8—1461no—
1118C22⋊Q8—1461no—
1119C22⋊Q8—1461no—
1120C22⋊Q8C22×D7311yescharacteristic
1121#121—731no—
1122#121—731no—
1123#121—731no—
1124#121—731no—
1125#121—731no—
1126#121—1461no—
1127#121—1461no—
1128#121—1461no—
1129#121—1461no—
1130#121—1461no—
1131#121—1461no—
1132#121—1461no—
1133#121—1461no—
1134#121—1461no—
1135#121—1461no—
1136#121C22×D7311yescharacteristic
1137#120—1461no—
1138#120—1461no—
1139#120—1461no—
1140C4×Q8—21no—
1141C4×Q8—21no—
1142C4×Q8—731no—
1143C4×Q8—1461no—
1144C4×Q8—1461no—
1145C4×Q8—1461no—
1146C4×Q8—1461no—
1147C4×Q8—1461no—
1148C4×Q8—1461no—
1149C4×Q8C22×D7311yescharacteristic
1150C4×D4—21no—
1151C4×D4—731no—
1152C4×D4—731no—
1153C4×D4—731no—
1154C4×D4—731no—
1155C4×D4—731no—
1156C4×D4—1461no—
1157C4×D4—1461no—
1158C4×D4—1461no—
1159C4×D4—1461no—
1160C4×D4—1461no—
1161C4×D4—1461no—
1162C4×D4—1461no—
1163C4×D4—1461no—
1164C4×D4—1461no—
1165C4×D4C22×D7311yescharacteristic
1166#117—21no—
1167#117—731no—
1168#117—731no—
1169#117—731no—
1170#117—731no—
1171#117—731no—
1172#117—731no—
1173#117—731no—
1174#117—731no—
1175#117—731no—
1176#117—731no—
1177#117—731no—
1178#117—731no—
1179#117—731no—
1180#117—731no—
1181#117—731no—
1182#117—1461no—
1183#117—1461no—
1184#117—1461no—
1185#117—1461no—
1186#117—1461no—
1187#117—1461no—
1188#117C22×D7311yescharacteristic
1189#117C22×D7311yescharacteristic
1190C2×C4⋊C4—731no—
1191C2×C4⋊C4—731no—
1192C2×C4⋊C4—731no—
1193C2×C4⋊C4—731no—
1194C2×C4⋊C4—731no—
1195C2×C4⋊C4—731no—
1196C2×C4⋊C4—731no—
1197C2×C4⋊C4—1461no—
1198C2×C22⋊C4—731no—
1199C2×C22⋊C4—731no—
1200C2×C22⋊C4—1461no—
1201C2×C22⋊C4—1461no—
1202C2×C22⋊C4—1461no—
1203C2×C22⋊C4—1461no—
1204C2×C22⋊C4—1461no—
1205C2×C42—731no—
1206C2×C42—1461no—
1207C2×C42—1461no—
1208C2×C42C22×D7311yescharacteristic
1209#107—731no—
1210#107—731no—
1211#107—731no—
1212#107—731no—
1213#107—731no—
1214#107—731no—
1215#107—731no—
1216#107—731no—
1217#107—731no—
1218#107—731no—
1219#107—731no—
1220#107—731no—
1221#107C22×D7311yescharacteristic
1222#107C22×D7311yescharacteristic
1223#107C22×D7311yescharacteristic
1224#107C22×D7311yescharacteristic
1225#106—731no—
1226#106—731no—
1227#106—731no—
1228#106—731no—
1229#106—731no—
1230#106—731no—
1231#106—731no—
1232#106—731no—
1233#106—731no—
1234#106—731no—
1235#106—731no—
1236#106—731no—
1237#106C22×D7311yescharacteristic
1238#106C22×D7311yescharacteristic
1239#106C22×D7311yescharacteristic
1240#106C22×D7311yescharacteristic
1241C4⋊C8—731no—
1242C4⋊C8—731no—
1243C4⋊C8—731no—
1244C4⋊C8—731no—
1245C4⋊C8—731no—
1246C4⋊C8—731no—
1247C4⋊C8C22×D7311yescharacteristic
1248C4⋊C8C22×D7311yescharacteristic
1249#103—731no—
1250#103—731no—
1251#103—731no—
1252#103—731no—
1253#103C22×D7311yescharacteristic
1254#103C22×D7311yescharacteristic
1255#103C22×D7311yescharacteristic
1256#103C22×D7311yescharacteristic
1257#102—731no—
1258#102—731no—
1259#102—731no—
1260#102—731no—
1261#102—731no—
1262#102—731no—
1263#102—731no—
1264#102—731no—
1265#102—731no—
1266#102—731no—
1267#102—731no—
1268#102—731no—
1269#102—731no—
1270#102—731no—
1271#102—731no—
1272#102—731no—
1273#102—731no—
1274#102—731no—
1275#102—731no—
1276#102—731no—
1277#102C22×D7311yescharacteristic
1278#102C22×D7311yescharacteristic
1279#102C22×D7311yescharacteristic
1280#102C22×D7311yescharacteristic
1281C22⋊C8—731no—
1282C22⋊C8—731no—
1283C22⋊C8—731no—
1284C22⋊C8—731no—
1285C22⋊C8—731no—
1286C22⋊C8—731no—
1287C22⋊C8C22×D7311yescharacteristic
1288C22⋊C8C22×D7311yescharacteristic
1289#97—731no—
1290#97—731no—
1291#97C22×D7311yescharacteristic
1292#97C22×D7311yescharacteristic
1293C4×C8—731no—
1294C4×C8—731no—
1295C4×C8—731no—
1296C4×C8—731no—
1297C24—731no—
1298C24—1461no—
1299#41—5842no—
1300#41—5842no—
1301#41—1462no—
1302#41—1462no—
1303C2×Q8—21no—
1304C2×Q8—21no—
1305C2×Q8—1461no—
1306C2×Q8—1461no—
1307C2×Q8—1461no—
1308C2×Q8—1461no—
1309C2×Q8—1461no—
1310C2×Q8—1461no—
1311C2×Q8—1461no—
1312C2×Q8—1461no—
1313C2×Q8C23×D7311yescharacteristic
1314C2×D4—21no—
1315C2×D4—5842no—
1316C2×D4—731no—
1317C2×D4—731no—
1318C2×D4—1461no—
1319C2×D4—1461no—
1320C2×D4—1461no—
1321C2×D4—1462no—
1322C2×D4—1462no—
1323C2×D4—1461no—
1324C2×D4—1461no—
1325C2×D4—1461no—
1326C2×D4—1461no—
1327C2×D4—1461no—
1328C2×D4—1461no—
1329C2×D4—1461no—
1330C2×D4—1461no—
1331C2×D4C23×D7311yescharacteristic
1332C22×C4—21no—
1333C22×C4—731no—
1334C22×C4—731no—
1335C22×C4—731no—
1336C22×C4—731no—
1337C22×C4—731no—
1338C22×C4—731no—
1339C22×C4—731no—
1340C22×C4—1461no—
1341C22×C4—1461no—
1342C22×C4—1461no—
1343C22×C4—1461no—
1344C22×C4—1461no—
1345C22×C4—1461no—
1346C22×C4—1461no—
1347C22×C4—1461no—
1348C22×C4—1462no—
1349C22×C4—1462no—
1350C22×C4—1461no—
1351C22×C4—1461no—
1352C22×C4—1461no—
1353C22×C4D4×D7311yescharacteristic
1354C22×C4D4×D7311yescharacteristic
1355C22×C4C23×D7311yescharacteristic
1356M16—1462no—
1357M16—1462no—
1358C2×C8—731no—
1359C2×C8—731no—
1360C2×C8—731no—
1361C2×C8—731no—
1362C2×C8—1462no—
1363C2×C8—1462no—
1364C2×C8C23×D7311yescharacteristic
1365C2×C8C23×D7311yescharacteristic
1366C2×C8C23×D7311yescharacteristic
1367C2×C8C23×D7311yescharacteristic
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—731no—
1379C4⋊C4—731no—
1380C4⋊C4—731no—
1381C4⋊C4—731no—
1382C4⋊C4—731no—
1383C4⋊C4—731no—
1384C4⋊C4—731no—
1385C4⋊C4—731no—
1386C4⋊C4—731no—
1387C4⋊C4—731no—
1388C4⋊C4—731no—
1389C4⋊C4—731no—
1390C4⋊C4—731no—
1391C4⋊C4—731no—
1392C4⋊C4—1461no—
1393C4⋊C4—1461no—
1394C4⋊C4—1461no—
1395C4⋊C4—1461no—
1396C4⋊C4—1461no—
1397C4⋊C4—1461no—
1398C4⋊C4—1461no—
1399C4⋊C4—1461no—
1400C4⋊C4—1461no—
1401C4⋊C4—1461no—
1402C4⋊C4—1461no—
1403C4⋊C4—1461no—
1404C4⋊C4—1461no—
1405C4⋊C4—1461no—
1406C4⋊C4—1461no—
1407C4⋊C4—1461no—
1408C4⋊C4—1461no—
1409C4⋊C4—1461no—
1410C4⋊C4—1461no—
1411C4⋊C4—1461no—
1412C4⋊C4—1461no—
1413C4⋊C4—1461no—
1414C4⋊C4—1461no—
1415C4⋊C4—1461no—
1416C4⋊C4—1461no—
1417C4⋊C4—1461no—
1418C4⋊C4—1461no—
1419C4⋊C4—1461no—
1420C4⋊C4—1461no—
1421C4⋊C4C23×D7311yescharacteristic
1422C4⋊C4C23×D7311yescharacteristic
1423C4⋊C4C23×D7311yescharacteristic
1424C4⋊C4C23×D7311yescharacteristic
1425C4⋊C4C23×D7311yescharacteristic
1426C4⋊C4C23×D7311yescharacteristic
1427C22⋊C4—21no—
1428C22⋊C4—21no—
1429C22⋊C4—21no—
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—731no—
1435C22⋊C4—731no—
1436C22⋊C4—731no—
1437C22⋊C4—731no—
1438C22⋊C4—731no—
1439C22⋊C4—731no—
1440C22⋊C4—731no—
1441C22⋊C4—731no—
1442C22⋊C4—1461no—
1443C22⋊C4—1461no—
1444C22⋊C4—1461no—
1445C22⋊C4—1461no—
1446C22⋊C4—1461no—
1447C22⋊C4—1461no—
1448C22⋊C4—1461no—
1449C22⋊C4—1461no—
1450C22⋊C4—1461no—
1451C22⋊C4—1461no—
1452C22⋊C4—1461no—
1453C22⋊C4—1461no—
1454C22⋊C4—1461no—
1455C22⋊C4—1461no—
1456C22⋊C4—1461no—
1457C22⋊C4—1461no—
1458C22⋊C4—1461no—
1459C22⋊C4—1461no—
1460C22⋊C4—1461no—
1461C22⋊C4—1461no—
1462C42—21no—
1463C42—21no—
1464C42—21no—
1465C42—731no—
1466C42—731no—
1467C42—731no—
1468C42—731no—
1469C42—1461no—
1470C42—1461no—
1471C42—1461no—
1472C42—1461no—
1473C42—1461no—
1474C42—1461no—
1475C42—1461no—
1476C42—1461no—
1477C42D4×D7311yescharacteristic
1478C42D4×D7311yescharacteristic
1479C42C23×D7311yescharacteristic
1480C42C23×D7311yescharacteristic
1481C23—21no—
1482C23—2921no—
1483C23—2921no—
1484C23—2922no—
1485C23—5841no—
1486C23—5841no—
1487C23—731no—
1488C23—731no—
1489C23—1462no—
1490C23—1461no—
1491C23—1461no—
1492C23C2×D4×D7311yescharacteristic
1493Q8—21no—
1494Q8—21no—
1495Q8—81no—
1496Q8—81no—
1497Q8—5841no—
1498Q8—5841no—
1499Q8—5841no—
1500Q8—5841no—
1501Q8—5841no—
1502Q8—5841no—
1503Q8—5841no—
1504Q8—5841no—
1505D4—21no—
1506D4—21no—
1507D4—42no—
1508D4—2922no—
1509D4—2922no—
1510D4—2922no—
1511D4—2922no—
1512D4—5841no—
1513D4—5841no—
1514D4—5841no—
1515D4—5841no—
1516D4—5841no—
1517D4—5841no—
1518D4—5841no—
1519D4—1461no—
1520D4—1461no—
1521D4—1461no—
1522D4—1461no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—81no—
1535C2×C4—2922no—
1536C2×C4—2921no—
1537C2×C4—2921no—
1538C2×C4—5841no—
1539C2×C4—5841no—
1540C2×C4—5841no—
1541C2×C4—5841no—
1542C2×C4—5841no—
1543C2×C4—5841no—
1544C2×C4—5841no—
1545C2×C4—5841no—
1546C2×C4—5841no—
1547C2×C4—5841no—
1548C2×C4—731no—
1549C2×C4—732no—
1550C2×C4—732no—
1551C2×C4—731no—
1552C2×C4—731no—
1553C2×C4—731no—
1554C2×C4—731no—
1555C2×C4—731no—
1556C2×C4—1462no—
1557C2×C4—1462no—
1558C2×C4—1461no—
1559C2×C4—1461no—
1560C2×C4—1461no—
1561C2×C4—1461no—
1562C2×C4—1461no—
1563C2×C4—1461no—
1564C2×C4—1462no—
1565C2×C4—1461no—
1566C2×C4—1461no—
1567C2×C4C2×D4×D7311yescharacteristic
1568C2×C4C2×D4×D7311yescharacteristic
1569C2×C4C2×D4×D7311yescharacteristic
1570C2×C4C2×D4×D7311yescharacteristic
1571C2×C4C2×D4×D7311yescharacteristic
1572C2×C4C24×D7311yescharacteristic
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—21no—
1577C8—1461no—
1578C8—1461no—
1579C8—1461no—
1580C8—1461no—
1581C22—21no—
1582C22—21no—
1583C22—21no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—2921no—
1588C22—2921no—
1589C22—2921no—
1590C22—2921no—
1591C22—2921no—
1592C22—2921no—
1593C22—5842no—
1594C22—732no—
1595C22—11682no—
1596C22—1461no—
1597C22—1461no—
1598C22—1461no—
1599C22—1461no—
1600C22—1461no—
1601C22C22×D4×D7311yescharacteristic
1602C4—21no—
1603C4—21no—
1604C4—21no—
1605C4—21no—
1606C4—21no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—2921no—
1615C4—2921no—
1616C4—2921no—
1617C4—2921no—
1618C4—2921no—
1619C4—2921no—
1620C4—732no—
1621C4—1461no—
1622C4—1461no—
1623C4—1461no—
1624C4—1461no—
1625C4—1461no—
1626C42−1+4×D7311yescharacteristic
1627C42−1+4×D7311yescharacteristic
1628C2—41no—
1629C2—81no—
1630C2—2921no—
1631C2—5841no—
1632C2—5841no—
1633C2—1462no—
1634C2#536×D7311yescharacteristic
1635C2#2262470411yescharacteristic
1636C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3240C2
socleC22×C73C23×D4
prime radical#22623654C2
hypercenter#3240D73
hypocenterC73#60875
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3240

Complements

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

NH ≅ G/Ntype
2. #22623334C2semidirect
3. #22621236C2semidirect
4. #22621224C2semidirect
5. #22621221C2semidirect
6. #22621209C2semidirect
7. #22621189C2semidirect
8. #22621185C2semidirect
9. #22621185C2semidirect
10. #22621181C2semidirect
11. #22621175C2semidirect
12. #22621131C2semidirect
13. #22621126C2semidirect
14. #22621113C2semidirect
15. #22621106C2semidirect
16. #22621067C2semidirect
17. #22621065C2semidirect
18. #22620466C2semidirect
19. #22620458C2semidirect
20. #22620282C2semidirect
21. #22620282C2semidirect
22. #22619870C2semidirect
23. #22619863C2semidirect
24. #22619849C2semidirect
25. #482×D73C2semidirect
26. #22619796C2semidirect
27. #22619785C2semidirect
28. #22619761C2semidirect
29. #22619759C2semidirect
30. #22618590C2semidirect
31. C73×#3240C2semidirect
43. #17989217C22semidirect
44. #17989217C22semidirect
49. #17989214C22semidirect
50. #17989214C22semidirect
58. #17989144C22semidirect
63. #17989140C22semidirect
64. #17989140C22semidirect
75. #17988996C22semidirect
76. #17988996C22semidirect
77. #17988995C22semidirect
78. #17988995C22semidirect
79. #17988994C22semidirect
80. #17988994C22semidirect
81. #17988991C22semidirect
82. #17988990C22semidirect
83. #17988988C22semidirect
84. #17988987C22semidirect
85. #17988986C22semidirect
86. #17988986C22semidirect
87. #17988984C22semidirect
88. #17988983C22semidirect
89. #17988952C22semidirect
90. #17988952C22semidirect
91. #17988950C22semidirect
92. #17988950C22semidirect
93. #17988948C22semidirect
94. #17988948C22semidirect
95. #17988943C22semidirect
96. #17988943C22semidirect
97. #17988941C22semidirect
98. #17988941C22semidirect
99. #17988935C22semidirect
100. #17988935C22semidirect
101. #17988932C22semidirect
102. #17988932C22semidirect
103. #17988927C22semidirect
104. #17988926C22semidirect
105. #17988925C22semidirect
106. #17988925C22semidirect
107. #17988921C22semidirect
108. #17988916C22semidirect
110. #17988914C22semidirect
112. #17988913C22semidirect
115. #17988912C22semidirect
116. #17988912C22semidirect
119. #17988911C22semidirect
120. #17988911C22semidirect
126. #17988907C22semidirect
129. #17988902C22semidirect
131. #17988896C22semidirect
132. #17988892C22semidirect
133. #17988890C22semidirect
134. #17988890C22semidirect
135. #17988889C22semidirect
136. #17988886C22semidirect
137. #17988886C22semidirect
138. #17988885C22semidirect
139. #17988884C22semidirect
140. #17988884C22semidirect
141. #17988884C22semidirect
142. #17988884C22semidirect
143. #17988882C22semidirect
144. #17988880C22semidirect
145. #17988878C22semidirect
146. #17988878C22semidirect
147. #17988877C22semidirect
148. #17988876C22semidirect
149. #17988876C22semidirect
150. #17988875C22semidirect
151. #17988872C22semidirect
152. #17988870C22semidirect
153. #17988868C22semidirect
154. #17988868C22semidirect
155. #17988867C22semidirect
156. #17988866C22semidirect
157. #17988866C22semidirect
158. #17988865C22semidirect
159. #17988649C22semidirect
160. #17988649C22semidirect
161. #17988647C22semidirect
162. #17988647C22semidirect
163. #17988641C22semidirect
164. #17988640C22semidirect
165. #17988637C22semidirect
188. #533×C73C22semidirect
190. #501×C73C22semidirect
191. #501×C73C22semidirect
192. #489×C73C22semidirect
193. #489×C73C22semidirect
194. #485×C73C22semidirect
195. #485×C73C22semidirect
198. #479×C73C22semidirect
199. #479×C73C22semidirect
200. #478×C73C22semidirect
201. #478×C73C22semidirect
202. #432×C73C22semidirect
830. #3240D73semidirect
850. C73#60875semidirect
884. #533C2×D73semidirect
902. #501C2×D73semidirect
903. #501C2×D73semidirect
918. #489C2×D73semidirect
919. #489C2×D73semidirect
932. #485C2×D73semidirect
933. #485C2×D73semidirect
962. #479C2×D73semidirect
963. #479C2×D73semidirect
974. #478C2×D73semidirect
975. #478C2×D73semidirect
997. #432C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226236542
#226233342
#226212362
#226212242
#226212212
#226212092
#226211892
#226211852
#226211812
#226211752
#226211312
#226211262
#226211132
#226211062
#226210672
#226210652
#226204662
#226204582
#226202822
#226198702
#226198632
#226198492
#482×D732
#226197962
#226197852
#226197612
#226197592
#226185902
C73×#32402
#6087573