Finite Group Databasebeta

← #33982797

Subgroups — #33982797

Order 18688.

1712 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624572C211yesmaximal, characteristic, complemented
2#22623890C211yesmaximal, characteristic, complemented
3#22622849C211yesmaximal, characteristic, complemented
4#22622835C211yesmaximal, characteristic, complemented
5#22622705C211yesmaximal, characteristic, complemented
6#22622683C211yesmaximal, characteristic, complemented
7#22622479C211yesmaximal, characteristic, complemented
8#22622465C211yesmaximal, characteristic, complemented
9#22622449C211yesmaximal, characteristic, complemented
10#22622430C211yesmaximal, characteristic, complemented
11#22622348C211yesmaximal, characteristic, complemented
12#22622343C211yesmaximal, characteristic, complemented
13#22622090C211yesmaximal, characteristic, complemented
14#22622070C211yesmaximal, characteristic, complemented
15#22621966C211yesmaximal, characteristic, complemented
16#22621955C211yesmaximal, characteristic, complemented
17#22621780C211yesmaximal, characteristic, complemented
18#22621764C211yesmaximal, characteristic, complemented
19#22621400C211yesmaximal, characteristic, complemented
20#22621387C211yesmaximal, characteristic, complemented
21#22621256C211yesmaximal, characteristic, complemented
22#22621221C211yesmaximal, characteristic, complemented
23#22621127C211yesmaximal, characteristic, complemented
24#22620120C211yesmaximal, characteristic, complemented
25#22620117C211yesmaximal, characteristic, complemented
26#22620047C211yesmaximal, characteristic, complemented
27#22619761C211yesmaximal, characteristic, complemented
28#22619756C211yesmaximal, characteristic, complemented
29#22619714C211yesmaximal, characteristic, complemented
30#22619065C211yesmaximal, characteristic, complemented
31C73×#3244C211yesmaximal, characteristic, complemented
32#17989341—21no—
33#17989333—21no—
34#17989319C2211yescharacteristic
35#17989314C2211yescharacteristic, complemented
36#17989311C2211yescharacteristic, complemented
37#17989308—21no—
38#17989308C2211yescharacteristic
39#17989303C2211yescharacteristic
40#17989301C2211yescharacteristic
41#17989300C2211yescharacteristic, complemented
42#17989298C2211yescharacteristic, complemented
43#17989290C2211yescharacteristic, complemented
44#17989285C2211yescharacteristic
45#17989276C2211yescharacteristic
46#17989272C2211yescharacteristic, complemented
47#17989269—21no—
48#17989265—21no—
49#17989264—21no—
50#17989252C2211yescharacteristic
51#17989247—21no—
52#17989230C2211yescharacteristic
53#17989229—21no—
54#17989228C2211yescharacteristic
55#17989221C2211yescharacteristic
56#17989217C2211yescharacteristic, complemented
57#17989211—21no—
58#17989211C2211yescharacteristic, complemented
59#17989210—21no—
60#17989209C2211yescharacteristic
61#17989208C2211yescharacteristic, complemented
62#17989198—21no—
63#17989183—21no—
64#17989176—21no—
65#17989171—21no—
66#17989142C2211yescharacteristic, complemented
67#17989134C2211yescharacteristic
68#17989122C2211yescharacteristic, complemented
69#17989120—21no—
70#17989115C2211yescharacteristic
71#124×D73—21no—
72#17989061C2211yescharacteristic
73#17989059C2211yescharacteristic
74C4×#11924029C2211yescharacteristic
75#17988994C2211yescharacteristic, complemented
76#17988994C2211yescharacteristic, complemented
77#17988994C2211yescharacteristic, complemented
78#17988991C2211yescharacteristic, complemented
79#17988950C2211yescharacteristic
80#17988950C2211yescharacteristic
81#17988948C2211yescharacteristic, complemented
82#17988943C2211yescharacteristic, complemented
83#17988931C2211yescharacteristic, complemented
84#17988931C2211yescharacteristic, complemented
85#17988929C2211yescharacteristic, complemented
86#17988927C2211yescharacteristic, complemented
87#17988921C2211yescharacteristic, complemented
88#17988914C2211yescharacteristic, complemented
89#17988913C2211yescharacteristic
90#17988913C2211yescharacteristic, complemented
91#17988913C2211yescharacteristic, complemented
92#17988913C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic, complemented
94#17988909C2211yescharacteristic, complemented
95#17988909C2211yescharacteristic, complemented
96#17988902C2211yescharacteristic
97#17988892C2211yescharacteristic, complemented
98#17988892C2211yescharacteristic, complemented
99#17988889C2211yescharacteristic, complemented
100#17988886C2211yescharacteristic
101#17988886C2211yescharacteristic
102#17988886C2211yescharacteristic
103#17988884C2211yescharacteristic
104#17988884C2211yescharacteristic
105#17988884C2211yescharacteristic, complemented
106#17988884C2211yescharacteristic, complemented
107#17988882C2211yescharacteristic, complemented
108#17988881C2211yescharacteristic, complemented
109#17988879C2211yescharacteristic, complemented
110#17988878C2211yescharacteristic
111#17988876C2211yescharacteristic, complemented
112#17988876C2211yescharacteristic, complemented
113#17988875C2211yescharacteristic, complemented
114#17988874C2211yescharacteristic
115#17988874C2211yescharacteristic, complemented
116#17988871C2211yescharacteristic, complemented
117#17988868C2211yescharacteristic, complemented
118#17988867C2211yescharacteristic, complemented
119#17988866C2211yescharacteristic
120#17988864C2211yescharacteristic
121#17988864C2211yescharacteristic, complemented
122#17988864C2211yescharacteristic, complemented
123#17988844C2211yescharacteristic, complemented
124#17988841C2211yescharacteristic
125#17988835C2211yescharacteristic, complemented
126#17988831C2211yescharacteristic
127#17988826C2211yescharacteristic, complemented
128#17988824C2211yescharacteristic, complemented
129#17988822C2211yescharacteristic, complemented
130#17988821C2211yescharacteristic
131#17988819C2211yescharacteristic, complemented
132#17988817C2211yescharacteristic
133#17988817C2211yescharacteristic, complemented
134#17988815C2211yescharacteristic, complemented
135#17988812C2211yescharacteristic, complemented
136#17988809C2211yescharacteristic, complemented
137#17988806C2211yescharacteristic, complemented
138#17988805C2211yescharacteristic, complemented
139#17988803C2211yescharacteristic
140#17988803C2211yescharacteristic, complemented
141#17988802C2211yescharacteristic, complemented
142#17988799C2211yescharacteristic, complemented
143#17988786C2211yescharacteristic
144#17988781C2211yescharacteristic
145#17988752C2211yescharacteristic
146#17988740C2211yescharacteristic
147#17988739C2211yescharacteristic
148#17988735C2211yescharacteristic
149#17988723C2211yescharacteristic
150#17988722C2211yescharacteristic
151#17988717C2211yescharacteristic, complemented
152#17988715C2211yescharacteristic, complemented
153#17988700C2211yescharacteristic, complemented
154#17988698C2211yescharacteristic
155#17988698C2211yescharacteristic
156#17988691C2211yescharacteristic, complemented
157#17988690C2211yescharacteristic, complemented
158#17988689C2211yescharacteristic
159#17988686C2211yescharacteristic
160#17988684C2211yescharacteristic, complemented
161C4×#11924017C2211yescharacteristic, complemented
162#17988674C2211yescharacteristic
163C4×D584C2211yescharacteristic
164#17988667C2211yescharacteristic, complemented
165#17988661C2211yescharacteristic
166#17988661C2211yescharacteristic, complemented
167#17988660C2211yescharacteristic, complemented
168#17988655C2211yescharacteristic
169C8×D292C2211yescharacteristic, complemented
170#17988650C2211yescharacteristic, complemented
171#17988647C2211yescharacteristic, complemented
172#17988643C2211yescharacteristic, complemented
173#17988628C2211yescharacteristic, complemented
174#17988627C2211yescharacteristic, complemented
175#17988623C2211yescharacteristic, complemented
176#17988622C2211yescharacteristic, complemented
177#17988622C2211yescharacteristic, complemented
178#17988622C2211yescharacteristic, complemented
179#17988614C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988591C2211yescharacteristic
183#17988590C2211yescharacteristic
184#17988582C2211yescharacteristic
185#17988582C2211yescharacteristic
186C2×#14556511C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#544×C73C2211yescharacteristic, complemented
189#542×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#498×C73C2211yescharacteristic, complemented
192#489×C73C2211yescharacteristic, complemented
193#488×C73C2211yescharacteristic, complemented
194#485×C73C2211yescharacteristic, complemented
195#483×C73C2211yescharacteristic, complemented
196#482×C73C2211yescharacteristic
197#481×C73C2211yescharacteristic
198#479×C73C2211yescharacteristic, complemented
199#478×C73C2211yescharacteristic, complemented
200#476×C73C2211yescharacteristic, complemented
201#475×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×Q8×D73—21no—
206C22×D292C2311yescharacteristic
207C2×D4×D73—21no—
208C2×D4×D73C2311yescharacteristic
209C2×#11924018C2311yescharacteristic
210C2×#11924017C2311yescharacteristic
211C2×#11924017C2311yescharacteristic
212C2×#11924016C2311yescharacteristic
213C2×#11924015C2311yescharacteristic
214C2×D584C2311yescharacteristic
215C2×D584C2311yescharacteristic
216C2×#11924013C2311yescharacteristic
217C2×#11924012C2311yescharacteristic
218C2×#11924011C2311yescharacteristic
219C22×#10596831C2311yescharacteristic
220C2×C8×D73C2311yescharacteristic
221C2×C8×D73C2311yescharacteristic
222C2×C8×D73C2311yescharacteristic
223#14556591C2311yescharacteristic
224#14556590—21no—
225#14556590—21no—
226#14556590C2311yescharacteristic
227#14556590C2311yescharacteristic
228#14556590C2311yescharacteristic
229#14556587C2311yescharacteristic
230#14556586—21no—
231#14556586—21no—
232#14556586—21no—
233#14556586—21no—
234#14556586—21no—
235#14556586—21no—
236#14556586—21no—
237#14556586—21no—
238#14556586—21no—
239#14556586D411yescharacteristic
240#14556585—21no—
241#14556584—21no—
242#14556584—21no—
243#14556584D411yescharacteristic
244#14556583—21no—
245#14556582C2311yescharacteristic
246#14556582C2311yescharacteristic
247#14556582C2311yescharacteristic
248#14556581—21no—
249#14556581—21no—
250#14556581—21no—
251#14556581—21no—
252#14556581D411yescharacteristic
253#14556580—21no—
254#14556580—21no—
255#14556580—21no—
256#14556580—21no—
257#14556580C2311yescharacteristic
258#14556579—21no—
259#14556579—21no—
260#14556579C2311yescharacteristic
261#14556578—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556577—21no—
267#14556577—21no—
268#14556577D411yescharacteristic
269#14556576—21no—
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556576—21no—
274#14556576—21no—
275#14556576D411yescharacteristic
276#14556575—21no—
277#14556574—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573D411yescharacteristic
283#14556571—21no—
284#14556571—21no—
285#14556571—21no—
286#14556571C2311yescharacteristic
287#14556571C2311yescharacteristic
288#14556570C2311yescharacteristic
289#14556569—21no—
290#14556569—21no—
291#14556569—21no—
292#14556569—21no—
293#14556569—21no—
294#14556569D411yescharacteristic
295#14556567—21no—
296#14556567—21no—
297#14556567—21no—
298#14556567—21no—
299#14556567—21no—
300#14556567C2311yescharacteristic
301#14556566—21no—
302#14556566—21no—
303#14556566—21no—
304#14556566C2311yescharacteristic
305#14556566C2311yescharacteristic
306#14556566C2311yescharacteristic
307#14556566C2311yescharacteristic
308#14556565—21no—
309#14556565C2311yescharacteristic
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564D411yescharacteristic
315#14556563—21no—
316#14556562C2311yescharacteristic
317#14556561—21no—
318#14556561—21no—
319#14556561—21no—
320#14556559—21no—
321Q8×Dic73—21no—
322Q8×Dic73—21no—
323Q8×Dic73C2311yescharacteristic
324C4×Dic146C2311yescharacteristic
325C4×Dic146C2311yescharacteristic
326#14556556—21no—
327#14556556—21no—
328#14556556—21no—
329#14556556C2311yescharacteristic
330#14556556C2311yescharacteristic
331C4×D292—21no—
332C4×D292C2311yescharacteristic
333C4×D292C2311yescharacteristic
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336C4×D292C2311yescharacteristic
337C4×D292C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339#14556553—21no—
340#14556553—21no—
341#14556553—21no—
342#14556553—21no—
343#14556553—21no—
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73C2311yescharacteristic
352C4×C22⋊D73C2311yescharacteristic
353#14556551—21no—
354#14556551—21no—
355#14556550—21no—
356#14556550C2311yescharacteristic
357#14556549—21no—
358#14556549—21no—
359#14556549—21no—
360#14556549C2311yescharacteristic
361#14556549C2311yescharacteristic
362#14556549C2311yescharacteristic
363#14556549C2311yescharacteristic
364#14556549C2311yescharacteristic
365#14556548—21no—
366#14556548—21no—
367#14556548C2311yescharacteristic
368#14556547—21no—
369C4⋊C4×D73—21no—
370C4⋊C4×D73C2311yescharacteristic
371C2×#11924005—21no—
372C22⋊C4×D73—21no—
373C22⋊C4×D73—21no—
374C22⋊C4×D73—21no—
375C22⋊C4×D73—21no—
376C22⋊C4×D73—21no—
377C42×D73—21no—
378C42×D73C2311yescharacteristic
379#14556525C2311yescharacteristic
380#14556525C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C4⋊Q8×C73—21no—
436C4⋊Q8×C73C2311yescharacteristic
437C4⋊Q8×C73C2311yescharacteristic
438C4⋊Q8×C73C2311yescharacteristic
439#126×C73—21no—
440#125×C73—21no—
441#125×C73C2311yescharacteristic
442#125×C73C2311yescharacteristic
443#124×C73—21no—
444#124×C73C2311yescharacteristic
445#123×C73—21no—
446C22⋊Q8×C73—21no—
447C22⋊Q8×C73—21no—
448C22⋊Q8×C73—21no—
449C22⋊Q8×C73C2311yescharacteristic
450#121×C73C2311yescharacteristic
451C4×Q8×C73C2311yescharacteristic
452C4×D4×C73C2311yescharacteristic
453#117×C73C2311yescharacteristic
454#117×C73C2311yescharacteristic
455C2×C4⋊C4×C73C2311yescharacteristic
456#107×C73C2311yescharacteristic
457#107×C73C2311yescharacteristic
458#106×C73C2311yescharacteristic
459#106×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
477C4×C8×C73C2311yescharacteristic
478C23×D73—21no—
479C23×D73—21no—
480#11924029—22no—
481#11924029—41no—
482#11924028—82no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146C2×D411yescharacteristic
488C2×Dic146C2411yescharacteristic
489Q8×D73—82no—
490C2×D292—22no—
491C2×D292—21no—
492C2×D292—21no—
493C2×D292—21no—
494C2×D292—21no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—41no—
498C2×D292C2×D411yescharacteristic
499C2×D292C2411yescharacteristic
500C2×D292C2411yescharacteristic
501C2×D292C2411yescharacteristic
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73C2×D411yescharacteristic
508C2×C22⋊D73C2×D411yescharacteristic
509D4×D73—22no—
510D4×D73—41no—
511D4×D73—82no—
512C22×Dic73—21no—
513C2×C4×D73—21no—
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#11924018—41no—
529#11924017—22no—
530#11924017—41no—
531#11924016—41no—
532#11924015—41no—
533D584—22no—
534D584—41no—
535#11924013—41no—
536#11924012—41no—
537#11924011—41no—
538C2×#10596831—41no—
539C2×#10596831C2411yescharacteristic
540C2×#10596831C2411yescharacteristic
541C2×#10596831C2411yescharacteristic
542C2×#10596831C2411yescharacteristic
543C8×D73—41no—
544C8×D73—41no—
545C8×D73—41no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73—21no—
550C4⋊Dic73—21no—
551C4⋊Dic73—21no—
552C4⋊Dic73—21no—
553C4⋊Dic73C2×D411yescharacteristic
554C4⋊Dic73C2×D411yescharacteristic
555C4⋊Dic73C2411yescharacteristic
556C4⋊Dic73C2411yescharacteristic
557C4⋊Dic73C2411yescharacteristic
558C4⋊Dic73C2411yescharacteristic
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
577C22⋊Dic73—21no—
578C22⋊Dic73—21no—
579C22⋊Dic73—21no—
580C22⋊Dic73—21no—
581C22⋊Dic73C2×D411yescharacteristic
582C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005C2×D411yescharacteristic
610#11924005C2×D411yescharacteristic
611#11924005C2×D411yescharacteristic
612#11924005C2×D411yescharacteristic
613#11924005C2×D411yescharacteristic
614#11924005C2×D411yescharacteristic
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73—21no—
622C4×Dic73—21no—
623C4×Dic73—21no—
624C4×Dic73—21no—
625C4×Dic73C2×D411yescharacteristic
626C4×Dic73C2×D411yescharacteristic
627C4×Dic73C2411yescharacteristic
628C4×Dic73C2411yescharacteristic
629C2×Q8×C73—21no—
630C2×Q8×C73—21no—
631C2×Q8×C73—21no—
632C2×Q8×C73C2411yescharacteristic
633C2×D4×C73—21no—
634C2×D4×C73C2411yescharacteristic
635C22×C4×C73—21no—
636C22×C4×C73—21no—
637C22×C4×C73C2411yescharacteristic
638C2×C8×C73C2411yescharacteristic
639C2×C8×C73C2411yescharacteristic
640C2×C8×C73C2411yescharacteristic
641C2×C8×C73C2411yescharacteristic
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×C73C2411yescharacteristic
655C4⋊C4×C73C2411yescharacteristic
656C4⋊C4×C73C2411yescharacteristic
657C4⋊C4×C73C2411yescharacteristic
658C4⋊C4×C73C2411yescharacteristic
659C4⋊C4×C73C2411yescharacteristic
660C22⋊C4×C73—21no—
661C22⋊C4×C73—21no—
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73C2×D411yescharacteristic
667C22⋊C4×C73C2×D411yescharacteristic
668C42×C73—21no—
669C42×C73—21no—
670C42×C73C2411yescharacteristic
671C42×C73C2411yescharacteristic
672C23×C73—21no—
673C23×C73C22×D411yescharacteristic
674C22×D73—21no—
675C22×D73—21no—
676C22×D73—21no—
677C22×D73—42no—
678C22×D73—42no—
679C22×D73—81no—
680C22×D73—81no—
681C22×D73—81no—
682C22×D73—81no—
683C22×D73C22×D411yescharacteristic
684C22×D73C22×D411yescharacteristic
685Q8×C73—21no—
686Q8×C73—21no—
687Q8×C73—81no—
688Q8×C73—81no—
689Q8×C73—81no—
690D4×C73—21no—
691D4×C73—21no—
692D4×C73—81no—
693C2×C4×C73—21no—
694C2×C4×C73—21no—
695C2×C4×C73—21no—
696C2×C4×C73—21no—
697C2×C4×C73—21no—
698C2×C4×C73—21no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—81no—
703C2×C4×C73—81no—
704C2×C4×C73C22×D411yescharacteristic
705C2×C4×C73C22×D411yescharacteristic
706C2×C4×C73C22×D411yescharacteristic
707C2×C4×C73C22×D411yescharacteristic
708C2×C4×C73C22×D411yescharacteristic
709C2×C4×C73C2511yescharacteristic
710C22⋊D73—41no—
711C22⋊D73—41no—
712C22⋊D73—42no—
713C22⋊D73—42no—
714C22⋊D73—81no—
715C22⋊D73—81no—
716C22⋊D73—81no—
717C2×Dic73—21no—
718C2×Dic73—21no—
719C2×Dic73—21no—
720C2×Dic73—21no—
721C2×Dic73—21no—
722C2×Dic73—81no—
723C2×Dic73C22×D411yescharacteristic
724C2×Dic73C22×D411yescharacteristic
725C2×Dic73C22×D411yescharacteristic
726C2×Dic73C22×D411yescharacteristic
727C2×Dic73C22×D411yescharacteristic
728C2×Dic73C22×D411yescharacteristic
729D292—21no—
730D292—21no—
731D292—21no—
732D292—21no—
733D292—21no—
734D292—41no—
735D292—42no—
736D292—42no—
737D292—81no—
738D292—81no—
739D292—81no—
740D292—81no—
741D2922−1+412yes—
742C4×D73—21no—
743C4×D73—21no—
744C4×D73—21no—
745C4×D73—21no—
746C4×D73—41no—
747C4×D73—41no—
748C4×D73—42no—
749C4×D73—42no—
750C4×D73—81no—
751C4×D73—81no—
752C4×D73—81no—
753C4×D73—81no—
754C4×D73—81no—
755C4×D73—81no—
756C4×D73—81no—
757C4×D73—81no—
758C4×D73—81no—
759Dic146—21no—
760Dic146—21no—
761Dic146—41no—
762Dic146—42no—
763Dic146—81no—
764Dic146—81no—
765Dic146—81no—
766C8×C73—21no—
767C8×C73—21no—
768C8×C73—21no—
769C8×C73—21no—
770#10596831—21no—
771#10596831—21no—
772#10596831—21no—
773#10596831—21no—
774C22×C73—21no—
775C22×C73—21no—
776C22×C73—21no—
777C22×C73—41no—
778C22×C73—41no—
779C22×C73—41no—
780C22×C73C23×D411yescharacteristic
781C2×D73—21no—
782C2×D73—21no—
783C2×D73—21no—
784C2×D73—21no—
785C2×D73—21no—
786C2×D73—21no—
787C2×D73—22no—
788C2×D73—41no—
789C2×D73—41no—
790C2×D73—41no—
791C2×D73—41no—
792C2×D73—41no—
793C2×D73—41no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—162no—
797C2×D73—162no—
798C4×C73—21no—
799C4×C73—21no—
800C4×C73—21no—
801C4×C73—21no—
802C4×C73—21no—
803C4×C73—41no—
804C4×C73—41no—
805C4×C73—41no—
806C4×C73—41no—
807C4×C73—41no—
808C4×C73—41no—
809C4×C73—41no—
810C4×C73C2×2−1+411yescharacteristic
811C4×C73#58511yescharacteristic
812Dic73—21no—
813Dic73—21no—
814Dic73—21no—
815Dic73—21no—
816Dic73—21no—
817Dic73—21no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822Dic73—41no—
823#62159—731nomaximal, Sylow
824C2×C73—41no—
825C2×C73—81no—
826C2×C73#348911yescharacteristic
827C2×C73#358411yescharacteristic
828C2×C73#358511yescharacteristic
829D73—41no—
830D73—41no—
831D73—42no—
832D73—81no—
833D73—81no—
834#3565—731no—
835#3514—731no—
836#3386—731no—
837#3384—731no—
838#3371—731no—
839#3370—731no—
840#3350—731no—
841#3349—731no—
842#3348—731no—
843#3347—731no—
844#3341—731no—
845#3340—731no—
846#3319—731no—
847#3318—731no—
848#3311—731no—
849#3310—731no—
850#3297—731no—
851#3296—731no—
852#3263—731no—
853#3262—731no—
854#3247—731no—
855#3244D7311yescharacteristic, complemented
856#3243—731no—
857#3235—731no—
858#3118—731no—
859#3118—731no—
860#3111—731no—
861#3081—731no—
862#3081—731no—
863#3076—731no—
864#2992—731no—
865C73#6215911yescharacteristic, complemented, Sylow
866#563—1461no—
867#562—1461no—
868#559—731no—
869#557—731no—
870#556—731no—
871#556—731no—
872#556—1461no—
873#555—731no—
874#555—731no—
875#555—731no—
876#554—731no—
877#553—731no—
878#553—731no—
879#552—731no—
880#552—731no—
881#552—1461no—
882#551—1461no—
883#551—1461no—
884D4×Q8—731no—
885#548—1461no—
886#546—731no—
887#546—731no—
888#546—1461no—
889D42—731no—
890#544—731no—
891#544C2×D7311yescharacteristic, complemented
892#542—731no—
893#542—731no—
894#542—731no—
895#542—1461no—
896#542—1461no—
897#542C2×D7311yescharacteristic
898#541—1461no—
899#539—1461no—
900#538—1461no—
901#538—1461no—
902#533—731no—
903#532—731no—
904#529—731no—
905#529—731no—
906#529—1461no—
907C2×#124—1461no—
908#518—731no—
909#518—731no—
910C4×#41—731no—
911#501—731no—
912#501—731no—
913#501—731no—
914#501C2×D7311yescharacteristic, complemented
915#500—731no—
916#498C2×D7311yescharacteristic, complemented
917#490—731no—
918#490—731no—
919#489—731no—
920#489C2×D7311yescharacteristic, complemented
921#488—731no—
922#488C2×D7311yescharacteristic, complemented
923#485—731no—
924#485—731no—
925#485—731no—
926#485—731no—
927#485C2×D7311yescharacteristic, complemented
928#484—731no—
929#483C2×D7311yescharacteristic, complemented
930#482—731no—
931#482—731no—
932#482—731no—
933#482—731no—
934#482—731no—
935#482—731no—
936#482—731no—
937#482—731no—
938#482C2×D7311yescharacteristic
939#481C2×D7311yescharacteristic
940#480—731no—
941#479—731no—
942#479—731no—
943#479C2×D7311yescharacteristic, complemented
944#478—731no—
945#478—731no—
946#478—731no—
947#478—731no—
948#478—731no—
949#478—731no—
950#478—731no—
951#478—731no—
952#478C2×D7311yescharacteristic, complemented
953#477—731no—
954#477—731no—
955#477—731no—
956#476—731no—
957#476—731no—
958#476—731no—
959#476—731no—
960#476—731no—
961#476—731no—
962#476C2×D7311yescharacteristic, complemented
963#475—731no—
964#475C2×D7311yescharacteristic, complemented
965#474—731no—
966#474—731no—
967#474—731no—
968#474—731no—
969#474—731no—
970#474—731no—
971#470—731no—
972#469—731no—
973#468—731no—
974#468—731no—
975#467—731no—
976#466—731no—
977#466—731no—
978#466—731no—
979#465—731no—
980#465—731no—
981#465—731no—
982#465—731no—
983#464—731no—
984#464—731no—
985#464—731no—
986#463—731no—
987#463—731no—
988#463—731no—
989#463—731no—
990#463—731no—
991#460—731no—
992#459—731no—
993#452—731no—
994#450—731no—
995#450—731no—
996#449—731no—
997#447—731no—
998#447—731no—
999#446—731no—
1000#446—731no—
1001#442—731no—
1002#442—731no—
1003#442—731no—
1004#441—731no—
1005#440—731no—
1006#440—731no—
1007#440—731no—
1008#440—731no—
1009C4×SD16—731no—
1010C4×SD16—731no—
1011C4×D8—731no—
1012C4×D8—731no—
1013#435—731no—
1014#435—731no—
1015#435—731no—
1016#435—731no—
1017C8×D4—731no—
1018C8×D4—731no—
1019#433—731no—
1020#433C2×D7311yescharacteristic, complemented
1021#432—731no—
1022#428—731no—
1023#428—731no—
1024#427—731no—
1025#427—731no—
1026#427—731no—
1027#427—731no—
1028#424—731no—
1029#424—731no—
1030C2×C4⋊C8—731no—
1031#418—731no—
1032#418—731no—
1033#416—731no—
1034#416—731no—
1035C2×#102—731no—
1036C2×#102—731no—
1037C2×#41—731no—
1038C2×#41—1461no—
1039C22×Q8—1461no—
1040C22×D4—731no—
1041C22×D4—731no—
1042C22×D4—1461no—
1043C2×Q16—731no—
1044C2×SD16—731no—
1045C2×SD16—731no—
1046C2×SD16—731no—
1047C2×SD16—731no—
1048C2×D8—731no—
1049C2×D8—731no—
1050C2×D8—731no—
1051C2×M16—731no—
1052C2×M16—731no—
1053C22×C8—731no—
1054C22×C8—731no—
1055C22×C8—731no—
1056C22×C8—731no—
1057C4⋊Q8—21no—
1058C4⋊Q8—731no—
1059C4⋊Q8—731no—
1060C4⋊Q8—731no—
1061C4⋊Q8—731no—
1062C4⋊Q8—1461no—
1063C4⋊Q8—1461no—
1064C4⋊Q8C22×D7311yescharacteristic
1065C4⋊Q8C22×D7311yescharacteristic
1066C4⋊Q8C22×D7311yescharacteristic
1067#127—731no—
1068#126—21no—
1069#126—731no—
1070#126—731no—
1071#126—1461no—
1072#126—1461no—
1073#126—1461no—
1074#126—1461no—
1075#126—1461no—
1076#126—1461no—
1077#126—1461no—
1078#126—1461no—
1079#126—1461no—
1080#126—1461no—
1081#126—1461no—
1082#126—1461no—
1083#125—21no—
1084#125—731no—
1085#125—731no—
1086#125—731no—
1087#125—731no—
1088#125—1461no—
1089#125—1461no—
1090#125—1461no—
1091#125—1461no—
1092#125—1461no—
1093#125C22×D7311yescharacteristic
1094#125C22×D7311yescharacteristic
1095#124—21no—
1096#124—731no—
1097#124—731no—
1098#124—731no—
1099#124—1461no—
1100#124—1461no—
1101#124—1461no—
1102#124—1461no—
1103#124—1461no—
1104#124—1461no—
1105#124—1461no—
1106#124—1461no—
1107#124—1461no—
1108#124—1461no—
1109#124—1461no—
1110#124—1461no—
1111#124—1461no—
1112#124C22×D7311yescharacteristic
1113#123—21no—
1114#123—731no—
1115#123—731no—
1116#123—1461no—
1117#123—1461no—
1118#123—1461no—
1119#123—1461no—
1120#123—1461no—
1121#123—1461no—
1122#123—1461no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—731no—
1132C22⋊Q8—731no—
1133C22⋊Q8—731no—
1134C22⋊Q8—731no—
1135C22⋊Q8—731no—
1136C22⋊Q8—1461no—
1137C22⋊Q8—1461no—
1138C22⋊Q8—1461no—
1139C22⋊Q8—1461no—
1140C22⋊Q8—1461no—
1141C22⋊Q8—1461no—
1142C22⋊Q8—1461no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8C22×D7311yescharacteristic
1150#121—731no—
1151#121—731no—
1152#121—731no—
1153#121—731no—
1154#121—731no—
1155#121—731no—
1156#121—731no—
1157#121—1461no—
1158#121—1461no—
1159#121—1461no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121—1461no—
1166#121C22×D7311yescharacteristic
1167#120—1461no—
1168#120—1461no—
1169#120—1461no—
1170#120—1461no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—1461no—
1177C4×Q8—1461no—
1178C4×Q8—1461no—
1179C4×Q8—1461no—
1180C4×Q8—1461no—
1181C4×Q8C22×D7311yescharacteristic
1182C4×D4—731no—
1183C4×D4—731no—
1184C4×D4—731no—
1185C4×D4—731no—
1186C4×D4—731no—
1187C4×D4—731no—
1188C4×D4—731no—
1189C4×D4—731no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—731no—
1195C4×D4—1461no—
1196C4×D4—1461no—
1197C4×D4—1461no—
1198C4×D4—1461no—
1199C4×D4—1461no—
1200C4×D4—1461no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4C22×D7311yescharacteristic
1207#117—731no—
1208#117—731no—
1209#117—731no—
1210#117—731no—
1211#117—731no—
1212#117—731no—
1213#117—731no—
1214#117—1461no—
1215#117—1461no—
1216#117—1461no—
1217#117—1461no—
1218#117—1461no—
1219#117—1461no—
1220#117—1461no—
1221#117C22×D7311yescharacteristic
1222#117C22×D7311yescharacteristic
1223C2×C4⋊C4—731no—
1224C2×C4⋊C4—1461no—
1225C2×C4⋊C4C22×D7311yescharacteristic
1226C2×C22⋊C4—1461no—
1227C2×C22⋊C4—1461no—
1228C2×C22⋊C4—1461no—
1229C2×C22⋊C4—1461no—
1230C2×C22⋊C4—1461no—
1231C2×C22⋊C4—1461no—
1232C2×C42—731no—
1233C2×C42—1461no—
1234#107—731no—
1235#107—731no—
1236#107—731no—
1237#107—731no—
1238#107—731no—
1239#107—731no—
1240#107—731no—
1241#107—731no—
1242#107—731no—
1243#107—731no—
1244#107C22×D7311yescharacteristic
1245#107C22×D7311yescharacteristic
1246#106—731no—
1247#106—731no—
1248#106—731no—
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106C22×D7311yescharacteristic
1253#106C22×D7311yescharacteristic
1254#106C22×D7311yescharacteristic
1255#106C22×D7311yescharacteristic
1256#106C22×D7311yescharacteristic
1257#106C22×D7311yescharacteristic
1258C4⋊C8—731no—
1259C4⋊C8—731no—
1260C4⋊C8—731no—
1261C4⋊C8—731no—
1262C4⋊C8—731no—
1263C4⋊C8—731no—
1264C4⋊C8—731no—
1265C4⋊C8—731no—
1266C4⋊C8C22×D7311yescharacteristic
1267C4⋊C8C22×D7311yescharacteristic
1268#103—731no—
1269#103—731no—
1270#103—731no—
1271#103—731no—
1272#103—731no—
1273#103—731no—
1274#103C22×D7311yescharacteristic
1275#103C22×D7311yescharacteristic
1276#103C22×D7311yescharacteristic
1277#103C22×D7311yescharacteristic
1278#102—731no—
1279#102—731no—
1280#102—731no—
1281#102—731no—
1282#102—731no—
1283#102—731no—
1284#102—731no—
1285#102—731no—
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102—731no—
1291#102—731no—
1292#102—731no—
1293#102—731no—
1294#102—731no—
1295#102—731no—
1296#102C22×D7311yescharacteristic
1297#102C22×D7311yescharacteristic
1298#102C22×D7311yescharacteristic
1299#102C22×D7311yescharacteristic
1300C22⋊C8—731no—
1301C22⋊C8—731no—
1302C22⋊C8—731no—
1303C22⋊C8—731no—
1304C22⋊C8C22×D7311yescharacteristic
1305C22⋊C8C22×D7311yescharacteristic
1306#97—731no—
1307#97—731no—
1308#97—731no—
1309#97C22×D7311yescharacteristic
1310C4×C8—731no—
1311C4×C8C22×D7311yescharacteristic
1312C24—1461no—
1313C24—1461no—
1314#41—2921no—
1315#41—5842no—
1316#41—1462no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—21no—
1320C2×Q8—5842no—
1321C2×Q8—731no—
1322C2×Q8—731no—
1323C2×Q8—1461no—
1324C2×Q8—1461no—
1325C2×Q8—1461no—
1326C2×Q8—1461no—
1327C2×Q8C23×D7311yescharacteristic
1328C2×D4—21no—
1329C2×D4—2921no—
1330C2×D4—2921no—
1331C2×D4—5842no—
1332C2×D4—731no—
1333C2×D4—731no—
1334C2×D4—731no—
1335C2×D4—731no—
1336C2×D4—731no—
1337C2×D4—731no—
1338C2×D4—1461no—
1339C2×D4—1462no—
1340C2×D4—1461no—
1341C2×D4—1461no—
1342C2×D4—1461no—
1343C2×D4—1461no—
1344C2×D4—1461no—
1345C2×D4—1461no—
1346C2×D4—1461no—
1347C2×D4—1462no—
1348C2×D4—1461no—
1349C2×D4—1461no—
1350C2×D4—1461no—
1351C2×D4C23×D7311yescharacteristic
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—731no—
1355C22×C4—731no—
1356C22×C4—731no—
1357C22×C4—731no—
1358C22×C4—1461no—
1359C22×C4—1461no—
1360C22×C4—1461no—
1361C22×C4—1461no—
1362C22×C4—1461no—
1363C22×C4—1461no—
1364C22×C4—1461no—
1365C22×C4—1461no—
1366C22×C4—1461no—
1367C22×C4—1461no—
1368C22×C4—1461no—
1369C22×C4—1461no—
1370C22×C4C23×D7311yescharacteristic
1371Q16—2921no—
1372SD16—2921no—
1373SD16—2921no—
1374SD16—2921no—
1375SD16—1462no—
1376D8—2921no—
1377D8—2921no—
1378D8—1462no—
1379M16—2921no—
1380M16—2921no—
1381C2×C8—2921no—
1382C2×C8—2921no—
1383C2×C8—2921no—
1384C2×C8—2921no—
1385C2×C8—731no—
1386C2×C8—731no—
1387C2×C8—731no—
1388C2×C8—731no—
1389C2×C8C23×D7311yescharacteristic
1390C2×C8C23×D7311yescharacteristic
1391C2×C8C23×D7311yescharacteristic
1392C2×C8C23×D7311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—731no—
1404C4⋊C4—731no—
1405C4⋊C4—731no—
1406C4⋊C4—731no—
1407C4⋊C4—731no—
1408C4⋊C4—731no—
1409C4⋊C4—731no—
1410C4⋊C4—731no—
1411C4⋊C4—731no—
1412C4⋊C4—731no—
1413C4⋊C4—731no—
1414C4⋊C4—731no—
1415C4⋊C4—1461no—
1416C4⋊C4—1461no—
1417C4⋊C4—1461no—
1418C4⋊C4—1461no—
1419C4⋊C4—1461no—
1420C4⋊C4—1461no—
1421C4⋊C4—1461no—
1422C4⋊C4—1461no—
1423C4⋊C4—1461no—
1424C4⋊C4—1461no—
1425C4⋊C4—1461no—
1426C4⋊C4—1461no—
1427C4⋊C4—1461no—
1428C4⋊C4—1461no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4D4×D7311yescharacteristic
1435C4⋊C4D4×D7311yescharacteristic
1436C4⋊C4C23×D7311yescharacteristic
1437C4⋊C4C23×D7311yescharacteristic
1438C4⋊C4C23×D7311yescharacteristic
1439C4⋊C4C23×D7311yescharacteristic
1440C4⋊C4C23×D7311yescharacteristic
1441C4⋊C4C23×D7311yescharacteristic
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—731no—
1449C22⋊C4—731no—
1450C22⋊C4—731no—
1451C22⋊C4—731no—
1452C22⋊C4—731no—
1453C22⋊C4—731no—
1454C22⋊C4—731no—
1455C22⋊C4—731no—
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—
1471C22⋊C4—1461no—
1472C22⋊C4—1461no—
1473C22⋊C4—1461no—
1474C22⋊C4—1461no—
1475C22⋊C4—1461no—
1476C22⋊C4—1461no—
1477C22⋊C4—1461no—
1478C22⋊C4—1461no—
1479C22⋊C4—1461no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4D4×D7311yescharacteristic
1487C22⋊C4D4×D7311yescharacteristic
1488C42—21no—
1489C42—21no—
1490C42—731no—
1491C42—731no—
1492C42—731no—
1493C42—731no—
1494C42—1461no—
1495C42—1461no—
1496C42—1461no—
1497C42—1461no—
1498C42—1461no—
1499C42—1461no—
1500C42—1461no—
1501C42—1461no—
1502C42—1461no—
1503C42—1461no—
1504C42C23×D7311yescharacteristic
1505C42C23×D7311yescharacteristic
1506C23—21no—
1507C23—2922no—
1508C23—2922no—
1509C23—5841no—
1510C23—5841no—
1511C23—5841no—
1512C23—5841no—
1513C23—731no—
1514C23—731no—
1515C23—1461no—
1516C23—1461no—
1517C23—1461no—
1518C23C2×D4×D7311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—81no—
1522Q8—81no—
1523Q8—81no—
1524Q8—2921no—
1525Q8—2922no—
1526Q8—5841no—
1527Q8—5841no—
1528Q8—5841no—
1529Q8—1461no—
1530Q8—1461no—
1531D4—21no—
1532D4—21no—
1533D4—81no—
1534D4—2922no—
1535D4—2921no—
1536D4—2922no—
1537D4—2921no—
1538D4—2921no—
1539D4—2922no—
1540D4—2922no—
1541D4—5841no—
1542D4—5841no—
1543D4—5841no—
1544D4—5841no—
1545D4—5841no—
1546D4—5841no—
1547D4—5841no—
1548D4—732no—
1549D4—1461no—
1550D4—1461no—
1551D4—1461no—
1552D4—1461no—
1553D4—1461no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—2921no—
1566C2×C4—2921no—
1567C2×C4—2922no—
1568C2×C4—2922no—
1569C2×C4—5841no—
1570C2×C4—5841no—
1571C2×C4—5841no—
1572C2×C4—5841no—
1573C2×C4—5841no—
1574C2×C4—5841no—
1575C2×C4—5841no—
1576C2×C4—5841no—
1577C2×C4—5841no—
1578C2×C4—5841no—
1579C2×C4—731no—
1580C2×C4—731no—
1581C2×C4—731no—
1582C2×C4—731no—
1583C2×C4—731no—
1584C2×C4—731no—
1585C2×C4—1461no—
1586C2×C4—1461no—
1587C2×C4—1461no—
1588C2×C4—1461no—
1589C2×C4—1461no—
1590C2×C4—1461no—
1591C2×C4—1461no—
1592C2×C4—1461no—
1593C2×C4—1461no—
1594C2×C4C2×D4×D7311yescharacteristic
1595C2×C4C2×D4×D7311yescharacteristic
1596C2×C4C2×D4×D7311yescharacteristic
1597C2×C4C2×D4×D7311yescharacteristic
1598C2×C4C2×D4×D7311yescharacteristic
1599C2×C4C24×D7311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1461no—
1605C8—1461no—
1606C8—1461no—
1607C8—1461no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—2921no—
1615C22—2921no—
1616C22—2921no—
1617C22—2921no—
1618C22—2921no—
1619C22—2921no—
1620C22—2921no—
1621C22—2921no—
1622C22—11682no—
1623C22—11682no—
1624C22—1462no—
1625C22—1461no—
1626C22—1461no—
1627C22—1461no—
1628C22—1461no—
1629C22—1461no—
1630C22—1461no—
1631C22C22×D4×D7311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—2921no—
1645C4—2921no—
1646C4—2921no—
1647C4—2921no—
1648C4—2921no—
1649C4—1461no—
1650C4—1461no—
1651C4—1461no—
1652C4—1461no—
1653C4—1461no—
1654C4—1461no—
1655C42−1+4×D7311yescharacteristic
1656C4#1798942411yescharacteristic
1657C2—41no—
1658C2—81no—
1659C2—2922no—
1660C2—2921no—
1661C2—2921no—
1662C2—5841no—
1663C2—5841no—
1664C2#2262360911yescharacteristic
1665C2#2262470311yescharacteristic
1666C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3244C2
socleC22×C73C23×D4
hypercenter#3244D73
hypocenterC73#62159
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3244

Complements

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

NH ≅ G/Ntype
1. #22624572C2semidirect
2. #22623890C2semidirect
3. #22622849C2semidirect
4. #22622835C2semidirect
5. #22622705C2semidirect
6. #22622683C2semidirect
7. #22622479C2semidirect
8. #22622465C2semidirect
9. #22622449C2semidirect
10. #22622430C2semidirect
11. #22622348C2semidirect
12. #22622343C2semidirect
13. #22622090C2semidirect
14. #22622070C2semidirect
15. #22621966C2semidirect
16. #22621955C2semidirect
17. #22621780C2semidirect
18. #22621764C2semidirect
19. #22621400C2semidirect
20. #22621387C2semidirect
21. #22621256C2semidirect
22. #22621221C2semidirect
23. #22621127C2semidirect
24. #22620120C2semidirect
25. #22620117C2semidirect
26. #22620047C2semidirect
27. #22619761C2semidirect
28. #22619756C2semidirect
29. #22619714C2semidirect
30. #22619065C2semidirect
31. C73×#3244C2semidirect
35. #17989314C22semidirect
36. #17989311C22semidirect
41. #17989300C22semidirect
42. #17989298C22semidirect
43. #17989290C22semidirect
46. #17989272C22semidirect
56. #17989217C22semidirect
58. #17989211C22semidirect
61. #17989208C22semidirect
66. #17989142C22semidirect
68. #17989122C22semidirect
75. #17988994C22semidirect
76. #17988994C22semidirect
77. #17988994C22semidirect
78. #17988991C22semidirect
81. #17988948C22semidirect
82. #17988943C22semidirect
83. #17988931C22semidirect
84. #17988931C22semidirect
85. #17988929C22semidirect
86. #17988927C22semidirect
87. #17988921C22semidirect
88. #17988914C22semidirect
90. #17988913C22semidirect
91. #17988913C22semidirect
92. #17988913C22semidirect
93. #17988912C22semidirect
94. #17988909C22semidirect
95. #17988909C22semidirect
97. #17988892C22semidirect
98. #17988892C22semidirect
99. #17988889C22semidirect
105. #17988884C22semidirect
106. #17988884C22semidirect
107. #17988882C22semidirect
108. #17988881C22semidirect
109. #17988879C22semidirect
111. #17988876C22semidirect
112. #17988876C22semidirect
113. #17988875C22semidirect
115. #17988874C22semidirect
116. #17988871C22semidirect
117. #17988868C22semidirect
118. #17988867C22semidirect
121. #17988864C22semidirect
122. #17988864C22semidirect
123. #17988844C22semidirect
125. #17988835C22semidirect
127. #17988826C22semidirect
128. #17988824C22semidirect
129. #17988822C22semidirect
131. #17988819C22semidirect
133. #17988817C22semidirect
134. #17988815C22semidirect
135. #17988812C22semidirect
136. #17988809C22semidirect
137. #17988806C22semidirect
138. #17988805C22semidirect
140. #17988803C22semidirect
141. #17988802C22semidirect
142. #17988799C22semidirect
151. #17988717C22semidirect
152. #17988715C22semidirect
153. #17988700C22semidirect
156. #17988691C22semidirect
157. #17988690C22semidirect
160. #17988684C22semidirect
161. C4×#11924017C22semidirect
164. #17988667C22semidirect
166. #17988661C22semidirect
167. #17988660C22semidirect
169. C8×D292C22semidirect
170. #17988650C22semidirect
171. #17988647C22semidirect
172. #17988643C22semidirect
173. #17988628C22semidirect
174. #17988627C22semidirect
175. #17988623C22semidirect
176. #17988622C22semidirect
177. #17988622C22semidirect
178. #17988622C22semidirect
179. #17988614C22semidirect
180. #17988612C22semidirect
181. C4⋊C8×D73C22semidirect
188. #544×C73C22semidirect
190. #501×C73C22semidirect
191. #498×C73C22semidirect
192. #489×C73C22semidirect
193. #488×C73C22semidirect
194. #485×C73C22semidirect
195. #483×C73C22semidirect
198. #479×C73C22semidirect
199. #478×C73C22semidirect
200. #476×C73C22semidirect
201. #475×C73C22semidirect
202. #433×C73C22semidirect
855. #3244D73semidirect
865. C73#62159semidirect
891. #544C2×D73semidirect
914. #501C2×D73semidirect
916. #498C2×D73semidirect
920. #489C2×D73semidirect
922. #488C2×D73semidirect
927. #485C2×D73semidirect
929. #483C2×D73semidirect
943. #479C2×D73semidirect
952. #478C2×D73semidirect
962. #476C2×D73semidirect
964. #475C2×D73semidirect
1020. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245722
#226238902
#226228492
#226228352
#226227052
#226226832
#226224792
#226224652
#226224492
#226224302
#226223482
#226223432
#226220902
#226220702
#226219662
#226219552
#226217802
#226217642
#226214002
#226213872
#226212562
#226212212
#226211272
#226201202
#226201172
#226200472
#226197612
#226197562
#226197142
#226190652
C73×#32442
#6215973