Finite Group Databasebeta

← #33982958

Subgroups — #33982958

Order 18688.

1694 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624527C211yesmaximal, characteristic, complemented
2#22623979C211yesmaximal, characteristic
3#22622854C211yesmaximal, characteristic, complemented
4#22622848C211yesmaximal, characteristic, complemented
5#22622767C211yesmaximal, characteristic, complemented
6#22622393C211yesmaximal, characteristic, complemented
7#22622391C211yesmaximal, characteristic, complemented
8#22622378C211yesmaximal, characteristic, complemented
9#22622376C211yesmaximal, characteristic, complemented
10#22622325C211yesmaximal, characteristic, complemented
11#22622322C211yesmaximal, characteristic, complemented
12#22622034C211yesmaximal, characteristic, complemented
13#22622026C211yesmaximal, characteristic, complemented
14#22622019C211yesmaximal, characteristic, complemented
15#22622011C211yesmaximal, characteristic, complemented
16#22621773C211yesmaximal, characteristic, complemented
17#22621765C211yesmaximal, characteristic, complemented
18#22621362C211yesmaximal, characteristic, complemented
19#22621354C211yesmaximal, characteristic, complemented
20#22621274C211yesmaximal, characteristic, complemented
21#22621209C211yesmaximal, characteristic, complemented
22#22621207C211yesmaximal, characteristic, complemented
23#22621132C211yesmaximal, characteristic, complemented
24#22620151C211yesmaximal, characteristic, complemented
25#22620143C211yesmaximal, characteristic, complemented
26#22620028C211yesmaximal, characteristic, complemented
27#22619785C211yesmaximal, characteristic, complemented
28#22619779C211yesmaximal, characteristic, complemented
29#478×D73C211yesmaximal, characteristic, complemented
30#22619069C211yesmaximal, characteristic, complemented
31C73×#3377C211yesmaximal, characteristic, complemented
32C73⋊#564—21no—
33#17989336—21no—
34#17989315C2211yescharacteristic, complemented
35#17989298C2211yescharacteristic
36#17989297C2211yescharacteristic
37#17989297C2211yescharacteristic
38#17989297C2211yescharacteristic
39#17989278—21no—
40#17989278C2211yescharacteristic
41#17989278C2211yescharacteristic, complemented
42#17989276—21no—
43#17989275C2211yescharacteristic
44#17989275C2211yescharacteristic, complemented
45#17989269—21no—
46#17989262—21no—
47#17989262—21no—
48Q8×D292C2211yescharacteristic
49#17989247—21no—
50#17989242C2211yescharacteristic
51#17989240C2211yescharacteristic
52#17989230C2211yescharacteristic
53#17989230C2211yescharacteristic
54#17989217C2211yescharacteristic, complemented
55#17989214—21no—
56#17989214C2211yescharacteristic, complemented
57#17989206C2211yescharacteristic
58#17989206C2211yescharacteristic
59#17989196—21no—
60#17989195—21no—
61#17989195C2211yescharacteristic, complemented
62#17989195C2211yescharacteristic, complemented
63#17989185—21no—
64#17989178—21no—
65#17989178—21no—
66#17989142C2211yescharacteristic
67#17989141C2211yescharacteristic
68#17989124C2211yescharacteristic
69#125×D73C2211yescharacteristic
70#17989099—21no—
71C22⋊Q8×D73—21no—
72#17989069C2211yescharacteristic
73#17989069C2211yescharacteristic
74C4×D4×D73C2211yescharacteristic
75#17988997C2211yescharacteristic, complemented
76#17988997C2211yescharacteristic, complemented
77#17988996C2211yescharacteristic, complemented
78#17988996C2211yescharacteristic, complemented
79#17988992C2211yescharacteristic, complemented
80#17988990C2211yescharacteristic, complemented
81#17988955C2211yescharacteristic, complemented
82#17988946C2211yescharacteristic
83#17988941C2211yescharacteristic
84#17988927C2211yescharacteristic, complemented
85#17988926C2211yescharacteristic, complemented
86#17988924C2211yescharacteristic
87#17988924C2211yescharacteristic, complemented
88#17988921C2211yescharacteristic
89#17988921C2211yescharacteristic
90#17988921C2211yescharacteristic
91#17988921C2211yescharacteristic, complemented
92#17988921C2211yescharacteristic, complemented
93#17988921C2211yescharacteristic, complemented
94#17988919C2211yescharacteristic, complemented
95#17988916C2211yescharacteristic
96#17988916C2211yescharacteristic
97#17988916C2211yescharacteristic, complemented
98#17988910C2211yescharacteristic
99#17988909C2211yescharacteristic
100#17988899C2211yescharacteristic
101#17988899C2211yescharacteristic
102#17988896C2211yescharacteristic, complemented
103#17988896C2211yescharacteristic, complemented
104#17988894C2211yescharacteristic, complemented
105#17988892C2211yescharacteristic, complemented
106#17988892C2211yescharacteristic, complemented
107#17988890C2211yescharacteristic
108#17988889C2211yescharacteristic
109#17988888C2211yescharacteristic
110#17988888C2211yescharacteristic
111#17988887C2211yescharacteristic
112#17988886C2211yescharacteristic
113#17988885C2211yescharacteristic
114#17988884C2211yescharacteristic
115#17988884C2211yescharacteristic
116#17988883C2211yescharacteristic, complemented
117#17988883C2211yescharacteristic, complemented
118#17988882C2211yescharacteristic, complemented
119#17988882C2211yescharacteristic, complemented
120#17988882C2211yescharacteristic, complemented
121#17988880C2211yescharacteristic, complemented
122#17988880C2211yescharacteristic, complemented
123#17988873C2211yescharacteristic, complemented
124#17988872C2211yescharacteristic, complemented
125#17988868C2211yescharacteristic
126#17988866C2211yescharacteristic
127#17988865C2211yescharacteristic
128#17988864C2211yescharacteristic
129#17988844C2211yescharacteristic, complemented
130#17988842C2211yescharacteristic, complemented
131#17988832C2211yescharacteristic
132#17988830C2211yescharacteristic
133#17988827C2211yescharacteristic
134#17988827C2211yescharacteristic
135#17988827C2211yescharacteristic, complemented
136#17988825C2211yescharacteristic
137#17988825C2211yescharacteristic
138#17988825C2211yescharacteristic, complemented
139#17988815C2211yescharacteristic
140#17988813C2211yescharacteristic
141#17988806C2211yescharacteristic
142#17988806C2211yescharacteristic
143#17988795C2211yescharacteristic, complemented
144#17988795C2211yescharacteristic, complemented
145#17988794C2211yescharacteristic, complemented
146#17988791C2211yescharacteristic
147#17988790C2211yescharacteristic
148#17988752C2211yescharacteristic
149#17988752C2211yescharacteristic
150#17988748C2211yescharacteristic
151#17988748C2211yescharacteristic
152#17988739C2211yescharacteristic
153#17988736C2211yescharacteristic
154#17988718C2211yescharacteristic, complemented
155#17988692C2211yescharacteristic, complemented
156#17988689C2211yescharacteristic
157#17988689C2211yescharacteristic
158#17988687C2211yescharacteristic
159#17988685C2211yescharacteristic
160#17988685C2211yescharacteristic
161C4×#11924018C2211yescharacteristic, complemented
162C4×#11924017C2211yescharacteristic
163C4×#11924015C2211yescharacteristic
164#17988660C2211yescharacteristic
165#17988660C2211yescharacteristic, complemented
166#17988657C2211yescharacteristic
167#17988657C2211yescharacteristic, complemented
168C8×D292C2211yescharacteristic
169#17988652C2211yescharacteristic
170#17988649C2211yescharacteristic, complemented
171#17988646C2211yescharacteristic, complemented
172#17988642C2211yescharacteristic
173#17988628C2211yescharacteristic, complemented
174#17988626C2211yescharacteristic, complemented
175#107×D73C2211yescharacteristic
176#107×D73C2211yescharacteristic, complemented
177#107×D73C2211yescharacteristic, complemented
178#106×D73C2211yescharacteristic
179#17988612C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic
182#17988587C2211yescharacteristic
183#17988587C2211yescharacteristic
184#17988582C2211yescharacteristic
185#17988582C2211yescharacteristic
186#102×D73C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#557×C73C2211yescharacteristic, complemented
189#556×C73C2211yescharacteristic
190#491×C73C2211yescharacteristic, complemented
191#489×C73C2211yescharacteristic
192#488×C73C2211yescharacteristic
193#479×C73C2211yescharacteristic, complemented
194#478×C73C2211yescharacteristic
195#477×C73C2211yescharacteristic, complemented
196#464×C73C2211yescharacteristic
197#464×C73C2211yescharacteristic
198#462×C73C2211yescharacteristic, complemented
199#446×C73C2211yescharacteristic, complemented
200#441×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic
202C4×Q16×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C2×Q8×D73—21no—
207C2×D4×D73C2311yescharacteristic
208C22×C4×D73—21no—
209C2×#11924018C2311yescharacteristic
210C2×#11924018C2311yescharacteristic
211C2×#11924017C2311yescharacteristic
212C2×#11924016C2311yescharacteristic
213C2×#11924015C2311yescharacteristic
214C2×#11924011C2311yescharacteristic
215C2×#11924011C2311yescharacteristic
216C2×C8×D73C2311yescharacteristic
217C2×C8×D73C2311yescharacteristic
218C2×C8×D73C2311yescharacteristic
219C2×C8×D73C2311yescharacteristic
220#14556591C2311yescharacteristic
221#14556591C2311yescharacteristic
222#14556591C2311yescharacteristic
223#14556591C2311yescharacteristic
224#14556590—21no—
225#14556590C2311yescharacteristic
226#14556589—21no—
227#14556589—21no—
228#14556589C2311yescharacteristic
229#14556586—21no—
230#14556586—21no—
231#14556586—21no—
232#14556586—21no—
233#14556586D411yescharacteristic
234#14556586D411yescharacteristic
235#14556585—21no—
236#14556585—21no—
237#14556585—21no—
238#14556585—21no—
239#14556584—21no—
240#14556584—21no—
241#14556583—21no—
242#14556583—21no—
243#14556583—21no—
244#14556583—21no—
245#14556583—21no—
246#14556583C2311yescharacteristic
247#14556583C2311yescharacteristic
248#14556582—21no—
249#14556582—21no—
250#14556582—21no—
251#14556582—21no—
252#14556582D411yescharacteristic
253#14556582C2311yescharacteristic
254#14556582C2311yescharacteristic
255#14556581—21no—
256#14556581—21no—
257#14556581—21no—
258#14556581—21no—
259#14556581—21no—
260#14556581—21no—
261#14556581—21no—
262#14556581—21no—
263#14556581—21no—
264#14556581—21no—
265#14556581—21no—
266#14556580D411yescharacteristic
267#14556577—21no—
268#14556577—21no—
269#14556576—21no—
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556576—21no—
274#14556576—21no—
275#14556576D411yescharacteristic
276#14556576D411yescharacteristic
277#14556575—21no—
278#14556575—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556571—21no—
284#14556571—21no—
285#14556571—21no—
286#14556571—21no—
287#14556571—21no—
288#14556571C2311yescharacteristic
289#14556571C2311yescharacteristic
290#14556571C2311yescharacteristic
291#14556570—21no—
292#14556569—21no—
293#14556569—21no—
294#14556569—21no—
295#14556569—21no—
296#14556569—21no—
297#14556569—21no—
298#14556569—21no—
299#14556569—21no—
300#14556569—21no—
301#14556568—21no—
302#14556568—21no—
303#14556567—21no—
304#14556567—21no—
305#14556567—21no—
306#14556567D411yescharacteristic
307#14556567C2311yescharacteristic
308#14556567C2311yescharacteristic
309#14556567C2311yescharacteristic
310#14556567C2311yescharacteristic
311#14556567C2311yescharacteristic
312#14556567C2311yescharacteristic
313#14556567C2311yescharacteristic
314#14556566—21no—
315#14556566D411yescharacteristic
316#14556564—21no—
317#14556564—21no—
318#14556562C2311yescharacteristic
319#14556562C2311yescharacteristic
320#14556561—21no—
321#14556561—21no—
322Q8×Dic73C2311yescharacteristic
323Q8×Dic73C2311yescharacteristic
324C4×Dic146—21no—
325C4×Dic146C2311yescharacteristic
326C4×Dic146C2311yescharacteristic
327C4×Dic146C2311yescharacteristic
328#14556556—21no—
329#14556556—21no—
330C4×D292—21no—
331C4×D292—21no—
332C4×D292—21no—
333C4×D292—21no—
334C4×D292—21no—
335C4×D292C2311yescharacteristic
336C4×D292C2311yescharacteristic
337C4×D292C2311yescharacteristic
338C4×D292C2311yescharacteristic
339C4×D292C2311yescharacteristic
340C4×D292C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342#14556553—21no—
343#14556553—21no—
344#14556553—21no—
345#14556553C2311yescharacteristic
346C4×C22⋊D73—21no—
347#14556551—21no—
348#14556549—21no—
349#14556549—21no—
350#14556549—21no—
351#14556549C2311yescharacteristic
352#14556549C2311yescharacteristic
353#14556548—21no—
354#14556548—21no—
355#14556548—21no—
356#14556548—21no—
357#14556548—21no—
358#14556548C2311yescharacteristic
359#14556548C2311yescharacteristic
360C4⋊C4×D73—21no—
361C4⋊C4×D73—21no—
362C4⋊C4×D73—21no—
363C4⋊C4×D73—21no—
364C4⋊C4×D73—21no—
365C4⋊C4×D73C2311yescharacteristic
366C4⋊C4×D73C2311yescharacteristic
367C4⋊C4×D73C2311yescharacteristic
368C4⋊C4×D73C2311yescharacteristic
369C4⋊C4×D73C2311yescharacteristic
370C4⋊C4×D73C2311yescharacteristic
371C4⋊C4×D73C2311yescharacteristic
372C22⋊C4×D73—21no—
373C22⋊C4×D73—21no—
374C22⋊C4×D73—21no—
375C42×D73C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556525C2311yescharacteristic
379#14556525C2311yescharacteristic
380#14556525C2311yescharacteristic
381#14556525C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399C4⋊#10596831C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556502C2311yescharacteristic
434C4×#10596831C2311yescharacteristic
435C2×Q16×C73C2311yescharacteristic
436C2×Q16×C73C2311yescharacteristic
437C2×SD16×C73C2311yescharacteristic
438C4⋊Q8×C73—21no—
439C4⋊Q8×C73C2311yescharacteristic
440C4⋊Q8×C73C2311yescharacteristic
441#126×C73—21no—
442#126×C73—21no—
443#125×C73—21no—
444#125×C73—21no—
445#125×C73C2311yescharacteristic
446#125×C73C2311yescharacteristic
447#124×C73C2311yescharacteristic
448#124×C73C2311yescharacteristic
449C22⋊Q8×C73—21no—
450C4×Q8×C73—21no—
451C4×Q8×C73C2311yescharacteristic
452C4×Q8×C73C2311yescharacteristic
453C4×Q8×C73C2311yescharacteristic
454C4×Q8×C73C2311yescharacteristic
455C4×Q8×C73C2311yescharacteristic
456C4×Q8×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458#117×C73—21no—
459#107×C73C2311yescharacteristic
460#107×C73C2311yescharacteristic
461#106×C73C2311yescharacteristic
462C4⋊C8×C73C2311yescharacteristic
463C4⋊C8×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465#103×C73C2311yescharacteristic
466#103×C73C2311yescharacteristic
467#103×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#97×C73C2311yescharacteristic
476#97×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C23×D73—21no—
479#11924029—22no—
480#11924029—22no—
481#11924029—41no—
482#11924029—41no—
483#11924028—82no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146C2411yescharacteristic
490Q8×D73—82no—
491C2×D292—21no—
492C2×D292—21no—
493C2×D292C2×D411yescharacteristic
494C2×D292C2×D411yescharacteristic
495C2×D292C2×D411yescharacteristic
496C2×D292C2411yescharacteristic
497C2×C22⋊D73—21no—
498C2×C22⋊D73—21no—
499C2×C22⋊D73—21no—
500D4×D73—22no—
501D4×D73—41no—
502C22×Dic73—21no—
503C2×C4×D73—21no—
504C2×C4×D73—21no—
505C2×C4×D73—21no—
506C2×C4×D73—21no—
507C2×C4×D73—21no—
508C2×C4×D73—21no—
509C2×C4×D73—21no—
510C2×C4×D73—21no—
511C2×C4×D73—21no—
512C2×C4×D73—21no—
513C2×C4×D73—21no—
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—82no—
517C2×C4×D73C2×D411yescharacteristic
518C2×C4×D73C2×D411yescharacteristic
519C2×C4×D73C2411yescharacteristic
520C2×C4×D73C2411yescharacteristic
521C2×C4×D73C2411yescharacteristic
522#11924018—41no—
523#11924018—41no—
524#11924017—22no—
525#11924016—41no—
526#11924015—22no—
527#11924011—41no—
528#11924011—41no—
529C2×#10596831C2411yescharacteristic
530C2×#10596831C2411yescharacteristic
531C2×#10596831C2411yescharacteristic
532C2×#10596831C2411yescharacteristic
533C8×D73—41no—
534C8×D73—41no—
535C8×D73—41no—
536C8×D73—41no—
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⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73C2×D411yescharacteristic
549C4⋊Dic73C2×D411yescharacteristic
550C4⋊Dic73C2×D411yescharacteristic
551C4⋊Dic73C2411yescharacteristic
552C4⋊Dic73C2411yescharacteristic
553C4⋊Dic73C2411yescharacteristic
554C4⋊Dic73C2411yescharacteristic
555C4⋊Dic73C2411yescharacteristic
556C4⋊Dic73C2411yescharacteristic
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#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#11924007—21no—
583#11924007C2×D411yescharacteristic
584#11924007C2×D411yescharacteristic
585#11924007C2×D411yescharacteristic
586#11924007C2×D411yescharacteristic
587C22⋊Dic73—21no—
588C22⋊Dic73—21no—
589C22⋊Dic73—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#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005C2×D411yescharacteristic
607#11924005C2×D411yescharacteristic
608#11924005C2×D411yescharacteristic
609#11924005C2×D411yescharacteristic
610#11924005C2×D411yescharacteristic
611#11924005C2×D411yescharacteristic
612#11924005C2×D411yescharacteristic
613#11924005C2×D411yescharacteristic
614#11924005C2×D411yescharacteristic
615#11924005C2×D411yescharacteristic
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73—21no—
622C4×Dic73—21no—
623C4×Dic73C2×D411yescharacteristic
624C4×Dic73C2×D411yescharacteristic
625C4×Dic73C2411yescharacteristic
626C2×Q8×C73—21no—
627C2×Q8×C73C2×D411yescharacteristic
628C2×Q8×C73C2411yescharacteristic
629C2×Q8×C73C2411yescharacteristic
630C2×Q8×C73C2411yescharacteristic
631C2×D4×C73C2411yescharacteristic
632C22×C4×C73—21no—
633Q16×C73—41no—
634Q16×C73—41no—
635SD16×C73—41no—
636C2×C8×C73C2411yescharacteristic
637C2×C8×C73C2411yescharacteristic
638C2×C8×C73C2411yescharacteristic
639C2×C8×C73C2411yescharacteristic
640C4⋊C4×C73—21no—
641C4⋊C4×C73—21no—
642C4⋊C4×C73—21no—
643C4⋊C4×C73—21no—
644C4⋊C4×C73—21no—
645C4⋊C4×C73—21no—
646C4⋊C4×C73—21no—
647C4⋊C4×C73—21no—
648C4⋊C4×C73—21no—
649C4⋊C4×C73—21no—
650C4⋊C4×C73—21no—
651C4⋊C4×C73—21no—
652C4⋊C4×C73C2×D411yescharacteristic
653C4⋊C4×C73C2×D411yescharacteristic
654C4⋊C4×C73C2×D411yescharacteristic
655C4⋊C4×C73C2411yescharacteristic
656C4⋊C4×C73C2411yescharacteristic
657C4⋊C4×C73C2411yescharacteristic
658C4⋊C4×C73C2411yescharacteristic
659C22⋊C4×C73—21no—
660C22⋊C4×C73—21no—
661C22⋊C4×C73—21no—
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
664C42×C73—21no—
665C42×C73—21no—
666C42×C73—21no—
667C42×C73—21no—
668C42×C73—21no—
669C42×C73C2411yescharacteristic
670C42×C73C2411yescharacteristic
671C42×C73C2411yescharacteristic
672C23×C73—21no—
673C22×D73—21no—
674C22×D73—42no—
675C22×D73—42no—
676C22×D73—81no—
677C22×D73C22×D411yescharacteristic
678C22×D73C22×D411yescharacteristic
679C22×D73C22×D411yescharacteristic
680Q8×C73—21no—
681Q8×C73—21no—
682Q8×C73—21no—
683Q8×C73—21no—
684Q8×C73—21no—
685Q8×C73—21no—
686Q8×C73—41no—
687Q8×C73—81no—
688D4×C73—21no—
689D4×C73—21no—
690C2×C4×C73—21no—
691C2×C4×C73—21no—
692C2×C4×C73—21no—
693C2×C4×C73—21no—
694C2×C4×C73—21no—
695C2×C4×C73—21no—
696C2×C4×C73—21no—
697C2×C4×C73—42no—
698C2×C4×C73C22×D411yescharacteristic
699C2×C4×C73C22×D411yescharacteristic
700C2×C4×C73C22×D411yescharacteristic
701C2×C4×C73C22×D411yescharacteristic
702C2×C4×C73C22×D411yescharacteristic
703C2×C4×C73C22×D411yescharacteristic
704C2×C4×C73C2511yescharacteristic
705C22⋊D73—42no—
706C22⋊D73—81no—
707C22⋊D73—81no—
708C2×Dic73—21no—
709C2×Dic73—21no—
710C2×Dic73—21no—
711C2×Dic73—21no—
712C2×Dic73—21no—
713C2×Dic73—21no—
714C2×Dic73—21no—
715C2×Dic73—81no—
716C2×Dic73C22×D411yescharacteristic
717C2×Dic73C22×D411yescharacteristic
718C2×Dic73C22×D411yescharacteristic
719C2×Dic73C22×D411yescharacteristic
720C2×Dic73C22×D411yescharacteristic
721D292—22no—
722D292—22no—
723D292—21no—
724D292—41no—
725D292—42no—
726D292—42no—
727D2922−1+412yes—
728C4×D73—22no—
729C4×D73—21no—
730C4×D73—21no—
731C4×D73—21no—
732C4×D73—21no—
733C4×D73—21no—
734C4×D73—21no—
735C4×D73—41no—
736C4×D73—42no—
737C4×D73—42no—
738C4×D73—42no—
739C4×D73—42no—
740C4×D73—81no—
741C4×D73—81no—
742C4×D73—81no—
743C4×D73—81no—
744C4×D73—81no—
745C4×D73—81no—
746C4×D73—81no—
747C4×D73—81no—
748C4×D73—81no—
749Dic146—21no—
750Dic146—21no—
751Dic146—42no—
752Dic146—81no—
753Dic146—81no—
754Dic146—81no—
755Dic146—81no—
756C8×C73—21no—
757C8×C73—21no—
758C8×C73—21no—
759C8×C73—21no—
760#10596831—21no—
761#10596831—21no—
762#10596831—21no—
763#10596831—21no—
764C22×C73—41no—
765C22×C73—41no—
766C22×C73—41no—
767C22×C73C23×D411yescharacteristic
768C2×D73—21no—
769C2×D73—21no—
770C2×D73—21no—
771C2×D73—21no—
772C2×D73—21no—
773C2×D73—21no—
774C2×D73—22no—
775C2×D73—21no—
776C2×D73—21no—
777C2×D73—41no—
778C2×D73—41no—
779C2×D73—84no—
780C2×D73#57812yes—
781C4×C73—21no—
782C4×C73—21no—
783C4×C73—21no—
784C4×C73—21no—
785C4×C73—21no—
786C4×C73—21no—
787C4×C73—41no—
788C4×C73—41no—
789C4×C73—41no—
790C4×C73—41no—
791C4×C73—41no—
792C4×C73—41no—
793C4×C73—41no—
794C4×C73C2×2−1+411yescharacteristic
795C4×C73#58511yescharacteristic
796Dic73—21no—
797Dic73—21no—
798Dic73—21no—
799Dic73—21no—
800Dic73—21no—
801Dic73—41no—
802Dic73—41no—
803Dic73—41no—
804Dic73—41no—
805Dic73—41no—
806Dic73—41no—
807Dic73—41no—
808#62165—731nomaximal, Sylow
809C2×C73—81no—
810C2×C73#348911yescharacteristic
811C2×C73C2×#57811yescharacteristic
812C2×C73#358511yescharacteristic
813D73—22no—
814D73—41no—
815D73—41no—
816D73—42no—
817#3563—731no—
818#3520—731no—
819#3386—731no—
820#3386—731no—
821#3377—731no—
822#3377D7311yescharacteristic, complemented
823#3344—731no—
824#3344—731no—
825#3343—731no—
826#3343—731no—
827#3338—731no—
828#3338—731no—
829#3315—731no—
830#3315—731no—
831#3314—731no—
832#3314—731no—
833#3296—731no—
834#3296—731no—
835#3258—731no—
836#3258—731no—
837#3249—731no—
838#3243—731no—
839#3243—731no—
840#3236—731no—
841#3120—731no—
842#3120—731no—
843#3110—731no—
844#3083—731no—
845#3083—731no—
846C2×#478—731no—
847#2992—731no—
848C73#6216511yescharacteristic, complemented, Sylow
849#564—1461no—
850#563—1461no—
851#557—731no—
852#557C2×D7311yescharacteristic, complemented
853#556C2×D7311yescharacteristic
854#554—731no—
855#554—731no—
856#554—731no—
857#554—731no—
858#552—731no—
859#552—731no—
860#552—731no—
861#552—731no—
862#552—1461no—
863#552—1461no—
864#552—1461no—
865#551—1461no—
866#551—1461no—
867D4×Q8—731no—
868#548—1461no—
869#547—731no—
870#547—731no—
871#546—731no—
872#546—731no—
873#544—731no—
874#544—731no—
875#544—1461no—
876#542—731no—
877#542—731no—
878#541—731no—
879#541—731no—
880#541—1461no—
881#541—1461no—
882#539—1461no—
883#539—1461no—
884#539—1461no—
885#533—731no—
886#533—731no—
887#529—731no—
888C2×#125—731no—
889#525—1461no—
890C2×C22⋊Q8—1461no—
891#520—731no—
892#520—731no—
893C2×C4×D4—731no—
894#501—731no—
895#501—731no—
896#501—731no—
897#501—731no—
898#500—731no—
899#500—731no—
900#491—731no—
901#491C2×D7311yescharacteristic, complemented
902#489—731no—
903#489C2×D7311yescharacteristic
904#488—731no—
905#488C2×D7311yescharacteristic
906#485—731no—
907#485—731no—
908#484—731no—
909#484—731no—
910#484—731no—
911#484—731no—
912#484—731no—
913#484—731no—
914#484—731no—
915#484—731no—
916#483—731no—
917#483—731no—
918#483—731no—
919#483—731no—
920#482—731no—
921#482—731no—
922#480—731no—
923#480—731no—
924#479—731no—
925#479—731no—
926#479—731no—
927#479—731no—
928#479—731no—
929#479C2×D7311yescharacteristic, complemented
930#478—731no—
931#478—731no—
932#478—731no—
933#478—731no—
934#478—731no—
935#478—731no—
936#478—731no—
937#478—731no—
938#478—731no—
939#478C2×D7311yescharacteristic
940#477—731no—
941#477—731no—
942#477—731no—
943#477—731no—
944#477—731no—
945#477—731no—
946#477—731no—
947#477C2×D7311yescharacteristic, complemented
948#475—731no—
949#475—731no—
950#474—731no—
951#474—731no—
952#474—731no—
953#474—731no—
954#470—731no—
955#470—731no—
956#468—731no—
957#468—731no—
958#467—731no—
959#467—731no—
960#467—731no—
961#467—731no—
962#467—731no—
963#467—731no—
964#465—731no—
965#465—731no—
966#464—731no—
967#464—731no—
968#464C2×D7311yescharacteristic
969#464C2×D7311yescharacteristic
970#462—731no—
971#462—731no—
972#462—731no—
973#462C2×D7311yescharacteristic, complemented
974#461—731no—
975#461—731no—
976#452—731no—
977#452—731no—
978#452—731no—
979#452—731no—
980#450—731no—
981#450—731no—
982#446—731no—
983#446C2×D7311yescharacteristic, complemented
984#441—731no—
985#441C2×D7311yescharacteristic, complemented
986#440—731no—
987#440—731no—
988#440—731no—
989#440—731no—
990#440—731no—
991#440C2×D7311yescharacteristic
992C4×Q16—731no—
993C4×Q16C2×D7311yescharacteristic, complemented
994C4×SD16—731no—
995C4×SD16—731no—
996#435—731no—
997#435—731no—
998#435—731no—
999#435—731no—
1000C8×D4—731no—
1001C8×D4—731no—
1002#433—731no—
1003#433—731no—
1004#432—731no—
1005#428—731no—
1006#428—731no—
1007C2×#107—731no—
1008C2×#107—731no—
1009C2×#107—731no—
1010C2×#106—731no—
1011#424—731no—
1012#424—731no—
1013C2×C4⋊C8—731no—
1014#417—731no—
1015#417—731no—
1016#416—731no—
1017#416—731no—
1018C2×#102—731no—
1019C2×#102—731no—
1020C2×#41—731no—
1021C2×#41—731no—
1022C2×#41—1461no—
1023C22×Q8—1461no—
1024C22×D4—731no—
1025C23×C4—1461no—
1026C2×Q16—731no—
1027C2×Q16—731no—
1028C2×Q16C22×D7311yescharacteristic
1029C2×Q16C22×D7311yescharacteristic
1030C2×SD16—731no—
1031C2×SD16—731no—
1032C2×SD16—731no—
1033C2×SD16C22×D7311yescharacteristic
1034C2×M16—731no—
1035C2×M16—731no—
1036C22×C8—731no—
1037C22×C8—731no—
1038C22×C8—731no—
1039C22×C8—731no—
1040C4⋊Q8—21no—
1041C4⋊Q8—731no—
1042C4⋊Q8—731no—
1043C4⋊Q8—731no—
1044C4⋊Q8—731no—
1045C4⋊Q8—731no—
1046C4⋊Q8—731no—
1047C4⋊Q8—1461no—
1048C4⋊Q8—1461no—
1049C4⋊Q8—1461no—
1050C4⋊Q8C22×D7311yescharacteristic
1051C4⋊Q8C22×D7311yescharacteristic
1052#126—21no—
1053#126—21no—
1054#126—731no—
1055#126—731no—
1056#126—1461no—
1057#126—1461no—
1058#126—1461no—
1059#126—1461no—
1060#126—1461no—
1061#126—1461no—
1062#126—1461no—
1063#126—1461no—
1064#126—1461no—
1065#126—1461no—
1066#125—21no—
1067#125—21no—
1068#125—731no—
1069#125—731no—
1070#125—731no—
1071#125—731no—
1072#125—731no—
1073#125—1461no—
1074#125—1461no—
1075#125—1461no—
1076#125—1461no—
1077#125—1461no—
1078#125—1461no—
1079#125—1461no—
1080#125—1461no—
1081#125—1461no—
1082#125—1461no—
1083#125—1461no—
1084#125—1461no—
1085#125—1461no—
1086#125—1461no—
1087#125—1461no—
1088#125—1461no—
1089#125—1461no—
1090#125—1461no—
1091#125—1461no—
1092#125—1461no—
1093#125C22×D7311yescharacteristic
1094#125C22×D7311yescharacteristic
1095#124—731no—
1096#124—1461no—
1097#124—1461no—
1098#124C22×D7311yescharacteristic
1099#124C22×D7311yescharacteristic
1100#123—731no—
1101#123—731no—
1102#123—1461no—
1103#123—1461no—
1104#123—1461no—
1105#123—1461no—
1106#123—1461no—
1107#123—1461no—
1108#123—1461no—
1109#123—1461no—
1110#123—1461no—
1111#123—1461no—
1112#123—1461no—
1113#123—1461no—
1114C22⋊Q8—21no—
1115C22⋊Q8—731no—
1116C22⋊Q8—731no—
1117C22⋊Q8—731no—
1118C22⋊Q8—731no—
1119C22⋊Q8—731no—
1120C22⋊Q8—731no—
1121C22⋊Q8—731no—
1122C22⋊Q8—731no—
1123C22⋊Q8—731no—
1124C22⋊Q8—731no—
1125C22⋊Q8—731no—
1126C22⋊Q8—1461no—
1127C22⋊Q8—1461no—
1128C22⋊Q8—1461no—
1129C22⋊Q8—1461no—
1130C22⋊Q8—1461no—
1131C22⋊Q8—1461no—
1132C22⋊Q8—1461no—
1133C22⋊Q8—1461no—
1134C22⋊Q8—1461no—
1135C22⋊Q8—1461no—
1136C22⋊Q8—1461no—
1137C22⋊Q8—1461no—
1138C22⋊Q8—1461no—
1139C22⋊Q8—1461no—
1140C22⋊Q8—1461no—
1141C22⋊Q8—1461no—
1142C22⋊Q8—1461no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146#121—731no—
1147#121—731no—
1148#121—731no—
1149#121—1461no—
1150#121—1461no—
1151#121—1461no—
1152#120—1461no—
1153#120—1461no—
1154C4×Q8—21no—
1155C4×Q8—731no—
1156C4×Q8—731no—
1157C4×Q8—731no—
1158C4×Q8—731no—
1159C4×Q8—731no—
1160C4×Q8—1461no—
1161C4×Q8—1461no—
1162C4×Q8—1461no—
1163C4×Q8C22×D7311yescharacteristic
1164C4×Q8C22×D7311yescharacteristic
1165C4×Q8C22×D7311yescharacteristic
1166C4×Q8C22×D7311yescharacteristic
1167C4×Q8C22×D7311yescharacteristic
1168C4×Q8C22×D7311yescharacteristic
1169C4×D4—731no—
1170C4×D4—731no—
1171C4×D4—731no—
1172C4×D4—731no—
1173C4×D4—731no—
1174C4×D4—731no—
1175C4×D4—731no—
1176C4×D4—731no—
1177C4×D4—1461no—
1178C4×D4—1461no—
1179C4×D4—1461no—
1180C4×D4—1461no—
1181C4×D4—1461no—
1182C4×D4—1461no—
1183C4×D4—1461no—
1184C4×D4—1461no—
1185C4×D4—1461no—
1186C4×D4—1461no—
1187C4×D4C22×D7311yescharacteristic
1188#117—21no—
1189#117—731no—
1190#117—731no—
1191#117—731no—
1192#117—731no—
1193#117—1461no—
1194#117—1461no—
1195#117—1461no—
1196#117—1461no—
1197#117—1461no—
1198#117—1461no—
1199#117—1461no—
1200#117—1461no—
1201C2×C4⋊C4—731no—
1202C2×C4⋊C4—731no—
1203C2×C4⋊C4—731no—
1204C2×C4⋊C4—731no—
1205C2×C4⋊C4—731no—
1206C2×C4⋊C4—731no—
1207C2×C4⋊C4—731no—
1208C2×C4⋊C4—1461no—
1209C2×C4⋊C4—1461no—
1210C2×C4⋊C4—1461no—
1211C2×C4⋊C4—1461no—
1212C2×C4⋊C4—1461no—
1213C2×C22⋊C4—1461no—
1214C2×C22⋊C4—1461no—
1215C2×C22⋊C4—1461no—
1216C2×C42—731no—
1217#107—731no—
1218#107—731no—
1219#107—731no—
1220#107—731no—
1221#107—731no—
1222#107—731no—
1223#107—731no—
1224#107—731no—
1225#107—731no—
1226#107—731no—
1227#107—731no—
1228#107—731no—
1229#107—731no—
1230#107—731no—
1231#107C22×D7311yescharacteristic
1232#107C22×D7311yescharacteristic
1233#106—731no—
1234#106—731no—
1235#106—731no—
1236#106—731no—
1237#106—731no—
1238#106—731no—
1239#106—731no—
1240#106C22×D7311yescharacteristic
1241C4⋊C8—731no—
1242C4⋊C8—731no—
1243C4⋊C8—731no—
1244C4⋊C8—731no—
1245C4⋊C8—731no—
1246C4⋊C8—731no—
1247C4⋊C8—731no—
1248C4⋊C8C22×D7311yescharacteristic
1249C4⋊C8C22×D7311yescharacteristic
1250C4⋊C8C22×D7311yescharacteristic
1251#103—731no—
1252#103—731no—
1253#103—731no—
1254#103—731no—
1255#103—731no—
1256#103—731no—
1257#103—731no—
1258#103—731no—
1259#103—731no—
1260#103—731no—
1261#103—731no—
1262#103—731no—
1263#103—731no—
1264#103C22×D7311yescharacteristic
1265#103C22×D7311yescharacteristic
1266#103C22×D7311yescharacteristic
1267#103C22×D7311yescharacteristic
1268#103C22×D7311yescharacteristic
1269#103C22×D7311yescharacteristic
1270#103C22×D7311yescharacteristic
1271#102—731no—
1272#102—731no—
1273#102—731no—
1274#102—731no—
1275#102—731no—
1276#102—731no—
1277#102—731no—
1278#102—731no—
1279#102—731no—
1280#102C22×D7311yescharacteristic
1281#102C22×D7311yescharacteristic
1282#102C22×D7311yescharacteristic
1283C22⋊C8—731no—
1284C22⋊C8—731no—
1285C22⋊C8—731no—
1286C22⋊C8—731no—
1287C22⋊C8—731no—
1288C22⋊C8—731no—
1289#97—731no—
1290#97—731no—
1291#97C22×D7311yescharacteristic
1292#97C22×D7311yescharacteristic
1293C4×C8—731no—
1294C4×C8C22×D7311yescharacteristic
1295C24—1461no—
1296#41—2921no—
1297#41—2921no—
1298#41—5842no—
1299#41—1462no—
1300#41—1462no—
1301C2×Q8—21no—
1302C2×Q8—5842no—
1303C2×Q8—731no—
1304C2×Q8—1461no—
1305C2×Q8—1461no—
1306C2×Q8—1461no—
1307C2×Q8—1461no—
1308C2×Q8—1461no—
1309C2×Q8D4×D7311yescharacteristic
1310C2×Q8C23×D7311yescharacteristic
1311C2×Q8C23×D7311yescharacteristic
1312C2×Q8C23×D7311yescharacteristic
1313C2×D4—2921no—
1314C2×D4—731no—
1315C2×D4—731no—
1316C2×D4—731no—
1317C2×D4—731no—
1318C2×D4—1461no—
1319C2×D4—1461no—
1320C2×D4—1461no—
1321C2×D4—1462no—
1322C2×D4—1461no—
1323C2×D4—1461no—
1324C2×D4C23×D7311yescharacteristic
1325C22×C4—21no—
1326C22×C4—5842no—
1327C22×C4—731no—
1328C22×C4—731no—
1329C22×C4—731no—
1330C22×C4—731no—
1331C22×C4—731no—
1332C22×C4—1461no—
1333C22×C4—1461no—
1334C22×C4—1461no—
1335C22×C4—1461no—
1336C22×C4—1461no—
1337C22×C4—1461no—
1338C22×C4—1461no—
1339C22×C4—1461no—
1340C22×C4—1461no—
1341C22×C4—1461no—
1342C22×C4—1461no—
1343C22×C4—1461no—
1344C22×C4—1461no—
1345C22×C4—1461no—
1346Q16—41no—
1347Q16—41no—
1348Q16—2921no—
1349Q16—2921no—
1350SD16—41no—
1351SD16—2921no—
1352SD16—1462no—
1353SD16—1462no—
1354M16—2921no—
1355M16—2921no—
1356C2×C8—2921no—
1357C2×C8—2921no—
1358C2×C8—2921no—
1359C2×C8—2921no—
1360C2×C8—731no—
1361C2×C8—731no—
1362C2×C8—731no—
1363C2×C8—731no—
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—21no—
1379C4⋊C4—21no—
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—731no—
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⋊C4—1461no—
1422C4⋊C4—1461no—
1423C4⋊C4—1461no—
1424C4⋊C4—1461no—
1425C4⋊C4—1461no—
1426C4⋊C4—1461no—
1427C4⋊C4—1461no—
1428C4⋊C4—1461no—
1429C4⋊C4—1461no—
1430C4⋊C4D4×D7311yescharacteristic
1431C4⋊C4D4×D7311yescharacteristic
1432C4⋊C4D4×D7311yescharacteristic
1433C4⋊C4C23×D7311yescharacteristic
1434C4⋊C4C23×D7311yescharacteristic
1435C4⋊C4C23×D7311yescharacteristic
1436C4⋊C4C23×D7311yescharacteristic
1437C22⋊C4—21no—
1438C22⋊C4—21no—
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—731no—
1443C22⋊C4—731no—
1444C22⋊C4—731no—
1445C22⋊C4—731no—
1446C22⋊C4—731no—
1447C22⋊C4—731no—
1448C22⋊C4—731no—
1449C22⋊C4—731no—
1450C22⋊C4—731no—
1451C22⋊C4—731no—
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—
1462C22⋊C4—1461no—
1463C22⋊C4—1461no—
1464C22⋊C4—1461no—
1465C22⋊C4—1461no—
1466C22⋊C4—1461no—
1467C22⋊C4—1461no—
1468C22⋊C4—1461no—
1469C22⋊C4—1461no—
1470C22⋊C4—1461no—
1471C42—21no—
1472C42—21no—
1473C42—21no—
1474C42—21no—
1475C42—21no—
1476C42—731no—
1477C42—731no—
1478C42—731no—
1479C42—1461no—
1480C42—1461no—
1481C42—1461no—
1482C42—1461no—
1483C42—1461no—
1484C42—1461no—
1485C42—1461no—
1486C42C23×D7311yescharacteristic
1487C42C23×D7311yescharacteristic
1488C42C23×D7311yescharacteristic
1489C23—21no—
1490C23—2922no—
1491C23—2922no—
1492C23—5841no—
1493C23—731no—
1494C23—731no—
1495C23—731no—
1496C23—1461no—
1497Q8—21no—
1498Q8—21no—
1499Q8—21no—
1500Q8—21no—
1501Q8—21no—
1502Q8—21no—
1503Q8—41no—
1504Q8—81no—
1505Q8—2922no—
1506Q8—5841no—
1507Q8—5841no—
1508Q8—5841no—
1509Q8—5841no—
1510Q8—1461no—
1511Q8—1461no—
1512D4—21no—
1513D4—21no—
1514D4—2921no—
1515D4—2922no—
1516D4—2922no—
1517D4—2922no—
1518D4—5841no—
1519D4—5841no—
1520D4—732no—
1521D4—1462no—
1522D4—1462no—
1523D4—1461no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—42no—
1532C2×C4—2922no—
1533C2×C4—2921no—
1534C2×C4—2922no—
1535C2×C4—2922no—
1536C2×C4—2922no—
1537C2×C4—5841no—
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—731no—
1548C2×C4—731no—
1549C2×C4—731no—
1550C2×C4—731no—
1551C2×C4—731no—
1552C2×C4—1462no—
1553C2×C4—1461no—
1554C2×C4—1461no—
1555C2×C4—1461no—
1556C2×C4—1461no—
1557C2×C4—1461no—
1558C2×C4—1461no—
1559C2×C4—1461no—
1560C2×C4—1461no—
1561C2×C4—1461no—
1562C2×C4—1461no—
1563C2×C4—1461no—
1564C2×C4—1461no—
1565C2×C4—1461no—
1566C2×C4C2×D4×D7311yescharacteristic
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—41no—
1582C22—41no—
1583C22—41no—
1584C22—2921no—
1585C22—2921no—
1586C22—5844no—
1587C22—732no—
1588C22—1462no—
1589C22—1461no—
1590C22—1461no—
1591C22—1461no—
1592C22—1461no—
1593C22—1461no—
1594C22—1461no—
1595C22—1461no—
1596C22—1461no—
1597C22C22×D4×D7311yescharacteristic
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—21no—
1602C4—21no—
1603C4—21no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—2921no—
1612C4—2921no—
1613C4—2921no—
1614C4—2921no—
1615C4—2921no—
1616C4—2921no—
1617C4—2921no—
1618C4—1461no—
1619C4—1461no—
1620C4—1461no—
1621C4—1461no—
1622C4—1461no—
1623C42−1+4×D7311yescharacteristic
1624C4#1798942311yescharacteristic
1625C2—81no—
1626C2—2922no—
1627C2—2921no—
1628C2—2921no—
1629C2—1462no—
1630C2#2262361011yescharacteristic
1631C2#578×D7311yescharacteristic
1632C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3377C2
socleC22×C73C23×D4
prime radical#22623979C2
hypercenter#3377D73
hypocenterC73#62165
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3377

Complements

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

NH ≅ G/Ntype
1. #22624527C2semidirect
3. #22622854C2semidirect
4. #22622848C2semidirect
5. #22622767C2semidirect
6. #22622393C2semidirect
7. #22622391C2semidirect
8. #22622378C2semidirect
9. #22622376C2semidirect
10. #22622325C2semidirect
11. #22622322C2semidirect
12. #22622034C2semidirect
13. #22622026C2semidirect
14. #22622019C2semidirect
15. #22622011C2semidirect
16. #22621773C2semidirect
17. #22621765C2semidirect
18. #22621362C2semidirect
19. #22621354C2semidirect
20. #22621274C2semidirect
21. #22621209C2semidirect
22. #22621207C2semidirect
23. #22621132C2semidirect
24. #22620151C2semidirect
25. #22620143C2semidirect
26. #22620028C2semidirect
27. #22619785C2semidirect
28. #22619779C2semidirect
29. #478×D73C2semidirect
30. #22619069C2semidirect
31. C73×#3377C2semidirect
34. #17989315C22semidirect
41. #17989278C22semidirect
44. #17989275C22semidirect
54. #17989217C22semidirect
56. #17989214C22semidirect
61. #17989195C22semidirect
62. #17989195C22semidirect
75. #17988997C22semidirect
76. #17988997C22semidirect
77. #17988996C22semidirect
78. #17988996C22semidirect
79. #17988992C22semidirect
80. #17988990C22semidirect
81. #17988955C22semidirect
84. #17988927C22semidirect
85. #17988926C22semidirect
87. #17988924C22semidirect
91. #17988921C22semidirect
92. #17988921C22semidirect
93. #17988921C22semidirect
94. #17988919C22semidirect
97. #17988916C22semidirect
102. #17988896C22semidirect
103. #17988896C22semidirect
104. #17988894C22semidirect
105. #17988892C22semidirect
106. #17988892C22semidirect
116. #17988883C22semidirect
117. #17988883C22semidirect
118. #17988882C22semidirect
119. #17988882C22semidirect
120. #17988882C22semidirect
121. #17988880C22semidirect
122. #17988880C22semidirect
123. #17988873C22semidirect
124. #17988872C22semidirect
129. #17988844C22semidirect
130. #17988842C22semidirect
135. #17988827C22semidirect
138. #17988825C22semidirect
143. #17988795C22semidirect
144. #17988795C22semidirect
145. #17988794C22semidirect
154. #17988718C22semidirect
155. #17988692C22semidirect
161. C4×#11924018C22semidirect
165. #17988660C22semidirect
167. #17988657C22semidirect
170. #17988649C22semidirect
171. #17988646C22semidirect
173. #17988628C22semidirect
174. #17988626C22semidirect
176. #107×D73C22semidirect
177. #107×D73C22semidirect
179. #17988612C22semidirect
180. #17988612C22semidirect
188. #557×C73C22semidirect
190. #491×C73C22semidirect
193. #479×C73C22semidirect
195. #477×C73C22semidirect
198. #462×C73C22semidirect
199. #446×C73C22semidirect
200. #441×C73C22semidirect
202. C4×Q16×C73C22semidirect
822. #3377D73semidirect
848. C73#62165semidirect
852. #557C2×D73semidirect
901. #491C2×D73semidirect
929. #479C2×D73semidirect
947. #477C2×D73semidirect
973. #462C2×D73semidirect
983. #446C2×D73semidirect
985. #441C2×D73semidirect
993. C4×Q16C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245272
#226239792
#226228542
#226228482
#226227672
#226223932
#226223912
#226223782
#226223762
#226223252
#226223222
#226220342
#226220262
#226220192
#226220112
#226217732
#226217652
#226213622
#226213542
#226212742
#226212092
#226212072
#226211322
#226201512
#226201432
#226200282
#226197852
#226197792
#478×D732
#226190692
C73×#33772
#6216573