Finite Group Databasebeta

← #33982712

Subgroups — #33982712

Order 18688.

1754 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624371C211yesmaximal, characteristic, complemented
2#22623877C211yesmaximal, characteristic, complemented
3#22622875C211yesmaximal, characteristic, complemented
4#22622835C211yesmaximal, characteristic, complemented
5#22622720C211yesmaximal, characteristic, complemented
6#22622705C211yesmaximal, characteristic, complemented
7#22622480C211yesmaximal, characteristic, complemented
8#22622400C211yesmaximal, characteristic, complemented
9#22622394C211yesmaximal, characteristic, complemented
10#22622389C211yesmaximal, characteristic, complemented
11#22622313C211yesmaximal, characteristic, complemented
12#22622287C211yesmaximal, characteristic, complemented
13#22622075C211yesmaximal, characteristic, complemented
14#22622011C211yesmaximal, characteristic, complemented
15#22621970C211yesmaximal, characteristic, complemented
16#22621890C211yesmaximal, characteristic, complemented
17#22621780C211yesmaximal, characteristic, complemented
18#22621753C211yesmaximal, characteristic, complemented
19#22621396C211yesmaximal, characteristic, complemented
20#22621341C211yesmaximal, characteristic, complemented
21#22621285C211yesmaximal, characteristic, complemented
22#22621181C211yesmaximal, characteristic, complemented
23#22621165C211yesmaximal, characteristic, complemented
24#22620215C211yesmaximal, characteristic, complemented
25#22620117C211yesmaximal, characteristic, complemented
26#22620074C211yesmaximal, characteristic, complemented
27#22619796C211yesmaximal, characteristic, complemented
28#22619756C211yesmaximal, characteristic, complemented
29#476×D73C211yesmaximal, characteristic, complemented
30#22619065C211yesmaximal, characteristic, complemented
31C73×#3244C211yesmaximal, characteristic, complemented
32#17989338—21no—
33#17989336—21no—
34#17989319C2211yescharacteristic
35#17989314C2211yescharacteristic, complemented
36#17989305C2211yescharacteristic, complemented
37#17989298C2211yescharacteristic
38#17989298C2211yescharacteristic, complemented
39#17989292C2211yescharacteristic
40#17989290C2211yescharacteristic, complemented
41#17989288—21no—
42#17989284C2211yescharacteristic
43#17989281C2211yescharacteristic
44#17989271C2211yescharacteristic
45#17989267—21no—
46#17989262—21no—
47#17989252—21no—
48#17989252C2211yescharacteristic, complemented
49#17989247—21no—
50#17989240C2211yescharacteristic
51#17989238C2211yescharacteristic, complemented
52#17989230—21no—
53#17989230C2211yescharacteristic
54#17989228C2211yescharacteristic
55#17989221C2211yescharacteristic
56#17989217C2211yescharacteristic, complemented
57#17989211C2211yescharacteristic, complemented
58#17989208C2211yescharacteristic, complemented
59#17989196—21no—
60#17989188C2211yescharacteristic
61#17989185—21no—
62#17989183—21no—
63#17989183—21no—
64#17989173—21no—
65#17989160—21no—
66C4⋊Q8×D73C2211yescharacteristic, complemented
67#17989124C2211yescharacteristic
68#17989122C2211yescharacteristic, complemented
69#17989115C2211yescharacteristic
70#17989100—21no—
71#123×D73—21no—
72#17989069C2211yescharacteristic
73#17989061C2211yescharacteristic
74C4×D4×D73C2211yescharacteristic
75#17988994C2211yescharacteristic, complemented
76#17988994C2211yescharacteristic, complemented
77#17988994C2211yescharacteristic, complemented
78#17988988C2211yescharacteristic, complemented
79#17988950C2211yescharacteristic
80#17988948C2211yescharacteristic, complemented
81#17988948C2211yescharacteristic, complemented
82#17988932C2211yescharacteristic
83#17988929C2211yescharacteristic, complemented
84#17988921C2211yescharacteristic, complemented
85#17988921C2211yescharacteristic, complemented
86#17988919C2211yescharacteristic, complemented
87#17988919C2211yescharacteristic, complemented
88#17988914C2211yescharacteristic, complemented
89#17988912C2211yescharacteristic, complemented
90#17988909C2211yescharacteristic, complemented
91#17988907C2211yescharacteristic
92#17988907C2211yescharacteristic
93#17988907C2211yescharacteristic, complemented
94#17988907C2211yescharacteristic, complemented
95#17988902C2211yescharacteristic, complemented
96#17988899C2211yescharacteristic, complemented
97#17988897C2211yescharacteristic, complemented
98#17988893C2211yescharacteristic, complemented
99#17988892C2211yescharacteristic, complemented
100#17988890C2211yescharacteristic
101#17988886C2211yescharacteristic, complemented
102#17988886C2211yescharacteristic, complemented
103#17988884C2211yescharacteristic
104#17988884C2211yescharacteristic
105#17988884C2211yescharacteristic, complemented
106#17988884C2211yescharacteristic, complemented
107#17988878C2211yescharacteristic
108#17988877C2211yescharacteristic, complemented
109#17988876C2211yescharacteristic
110#17988876C2211yescharacteristic
111#17988876C2211yescharacteristic
112#17988875C2211yescharacteristic, complemented
113#17988875C2211yescharacteristic, complemented
114#17988874C2211yescharacteristic
115#17988874C2211yescharacteristic, complemented
116#17988874C2211yescharacteristic, complemented
117#17988872C2211yescharacteristic, complemented
118#17988870C2211yescharacteristic, complemented
119#17988869C2211yescharacteristic, complemented
120#17988868C2211yescharacteristic, complemented
121#17988864C2211yescharacteristic
122#17988864C2211yescharacteristic, complemented
123#17988843C2211yescharacteristic, complemented
124#17988841C2211yescharacteristic, complemented
125#17988838C2211yescharacteristic
126#17988832C2211yescharacteristic, complemented
127#17988827C2211yescharacteristic, complemented
128#17988824C2211yescharacteristic
129#17988822C2211yescharacteristic, complemented
130#17988819C2211yescharacteristic, complemented
131#17988818C2211yescharacteristic, complemented
132#17988817C2211yescharacteristic
133#17988817C2211yescharacteristic, complemented
134#17988814C2211yescharacteristic
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#17988696C2211yescharacteristic, complemented
157#17988691C2211yescharacteristic, complemented
158#17988689C2211yescharacteristic
159#17988686C2211yescharacteristic
160#17988684C2211yescharacteristic, complemented
161C4×#11924017C2211yescharacteristic, complemented
162#17988674C2211yescharacteristic
163#17988672C2211yescharacteristic, complemented
164C4×D584C2211yescharacteristic
165#17988661C2211yescharacteristic
166#17988661C2211yescharacteristic, complemented
167#17988660C2211yescharacteristic, complemented
168#17988655C2211yescharacteristic, complemented
169C8×D292C2211yescharacteristic, complemented
170#17988650C2211yescharacteristic
171#17988647C2211yescharacteristic, complemented
172#17988643C2211yescharacteristic, complemented
173#17988628C2211yescharacteristic, complemented
174#17988627C2211yescharacteristic, complemented
175#17988623C2211yescharacteristic, complemented
176#106×D73C2211yescharacteristic, complemented
177#106×D73C2211yescharacteristic, complemented
178#106×D73C2211yescharacteristic, complemented
179#17988614C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988591C2211yescharacteristic
183#17988587C2211yescharacteristic
184#17988582C2211yescharacteristic
185C2×#14556511C2211yescharacteristic
186#102×D73C2211yescharacteristic
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×#11924029—21no—
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C2×Q8×D73—21no—
207C2×Q8×D73—21no—
208C22×D292C2311yescharacteristic
209C2×D4×D73—21no—
210C2×D4×D73C2311yescharacteristic
211C22×C4×D73—21no—
212C2×#11924018C2311yescharacteristic
213C2×#11924017C2311yescharacteristic
214C2×#11924017C2311yescharacteristic
215C2×#11924016C2311yescharacteristic
216C2×#11924015C2311yescharacteristic
217C2×D584C2311yescharacteristic
218C2×D584C2311yescharacteristic
219C2×#11924013C2311yescharacteristic
220C2×#11924012C2311yescharacteristic
221C2×#11924011C2311yescharacteristic
222C22×#10596831C2311yescharacteristic
223C2×C8×D73C2311yescharacteristic
224C2×C8×D73C2311yescharacteristic
225C2×C8×D73C2311yescharacteristic
226#14556591C2311yescharacteristic
227#14556590—21no—
228#14556590—21no—
229#14556590—21no—
230#14556590C2311yescharacteristic
231#14556590C2311yescharacteristic
232#14556590C2311yescharacteristic
233#14556589—21no—
234#14556587C2311yescharacteristic
235#14556586—21no—
236#14556586—21no—
237#14556586—21no—
238#14556586—21no—
239#14556586—21no—
240#14556586D411yescharacteristic
241#14556585—21no—
242#14556585—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584—21no—
246#14556584D411yescharacteristic
247#14556582—21no—
248#14556582C2311yescharacteristic
249#14556582C2311yescharacteristic
250#14556582C2311yescharacteristic
251#14556581—21no—
252#14556581—21no—
253#14556581—21no—
254#14556581—21no—
255#14556581—21no—
256#14556581D411yescharacteristic
257#14556580—21no—
258#14556580C2311yescharacteristic
259#14556579C2311yescharacteristic
260#14556577—21no—
261#14556577—21no—
262#14556577—21no—
263#14556577D411yescharacteristic
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556576—21no—
268#14556576—21no—
269#14556576—21no—
270#14556576—21no—
271#14556576—21no—
272#14556576D411yescharacteristic
273#14556575—21no—
274#14556574—21no—
275#14556574—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573D411yescharacteristic
283#14556572—21no—
284#14556571—21no—
285#14556571—21no—
286#14556571C2311yescharacteristic
287#14556571C2311yescharacteristic
288#14556570—21no—
289#14556570C2311yescharacteristic
290#14556569—21no—
291#14556569—21no—
292#14556569—21no—
293#14556569—21no—
294#14556569—21no—
295#14556569—21no—
296#14556569D411yescharacteristic
297#14556567—21no—
298#14556567—21no—
299#14556567—21no—
300#14556567—21no—
301#14556567—21no—
302#14556567—21no—
303#14556567—21no—
304#14556567C2311yescharacteristic
305#14556566—21no—
306#14556566—21no—
307#14556566C2311yescharacteristic
308#14556566C2311yescharacteristic
309#14556566C2311yescharacteristic
310#14556566C2311yescharacteristic
311#14556565—21no—
312#14556565C2311yescharacteristic
313#14556564—21no—
314#14556564—21no—
315#14556564—21no—
316#14556564—21no—
317#14556564D411yescharacteristic
318#14556562—21no—
319#14556562C2311yescharacteristic
320#14556561—21no—
321#14556561—21no—
322#14556561—21no—
323#14556559—21no—
324Q8×Dic73C2311yescharacteristic
325C4×Dic146—21no—
326C4×Dic146C2311yescharacteristic
327C4×Dic146C2311yescharacteristic
328#14556556—21no—
329#14556556C2311yescharacteristic
330#14556556C2311yescharacteristic
331C4×D292—21no—
332C4×D292—21no—
333C4×D292—21no—
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336C4×D292C2311yescharacteristic
337C4×D292C2311yescharacteristic
338C4×D292C2311yescharacteristic
339C4×D292C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341#14556553—21no—
342#14556553—21no—
343#14556553—21no—
344#14556553—21no—
345#14556553—21no—
346#14556553—21no—
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
350#14556553C2311yescharacteristic
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73C2311yescharacteristic
354C4×C22⋊D73C2311yescharacteristic
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556550C2311yescharacteristic
359#14556549—21no—
360#14556549—21no—
361#14556549C2311yescharacteristic
362#14556548—21no—
363#14556548—21no—
364#14556548C2311yescharacteristic
365C4⋊C4×D73—21no—
366C4⋊C4×D73—21no—
367C4⋊C4×D73—21no—
368C4⋊C4×D73C2311yescharacteristic
369C4⋊C4×D73C2311yescharacteristic
370C4⋊C4×D73C2311yescharacteristic
371C4⋊C4×D73C2311yescharacteristic
372C4⋊C4×D73C2311yescharacteristic
373C22⋊C4×D73—21no—
374C22⋊C4×D73—21no—
375C22⋊C4×D73—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C42×D73C2311yescharacteristic
379#14556525C2311yescharacteristic
380#14556525C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556523C2311yescharacteristic
386#14556523C2311yescharacteristic
387#14556522C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
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#11924029—82no—
483#11924028—82no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146C2×D411yescharacteristic
489C2×Dic146C2411yescharacteristic
490Q8×D73—82no—
491Q8×D73—82no—
492C2×D292—22no—
493C2×D292—21no—
494C2×D292—21no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—41no—
500C2×D292C2×D411yescharacteristic
501C2×D292C2411yescharacteristic
502C2×D292C2411yescharacteristic
503C2×D292C2411yescharacteristic
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73C2×D411yescharacteristic
510C2×C22⋊D73C2×D411yescharacteristic
511D4×D73—22no—
512D4×D73—41no—
513D4×D73—82no—
514C22×Dic73—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×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—82no—
531C2×C4×D73C2×D411yescharacteristic
532C2×C4×D73C2×D411yescharacteristic
533C2×C4×D73C2411yescharacteristic
534C2×C4×D73C2411yescharacteristic
535#11924018—41no—
536#11924017—22no—
537#11924017—41no—
538#11924016—41no—
539#11924015—41no—
540D584—22no—
541D584—41no—
542#11924013—41no—
543#11924012—41no—
544#11924011—41no—
545C2×#10596831—41no—
546C2×#10596831C2411yescharacteristic
547C2×#10596831C2411yescharacteristic
548C2×#10596831C2411yescharacteristic
549C2×#10596831C2411yescharacteristic
550C8×D73—41no—
551C8×D73—41no—
552C8×D73—41no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73—21no—
560C4⋊Dic73C2×D411yescharacteristic
561C4⋊Dic73C2×D411yescharacteristic
562C4⋊Dic73C2411yescharacteristic
563C4⋊Dic73C2411yescharacteristic
564C4⋊Dic73C2411yescharacteristic
565C4⋊Dic73C2411yescharacteristic
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007C2×D411yescharacteristic
583#11924007C2×D411yescharacteristic
584#11924007C2×D411yescharacteristic
585#11924007C2×D411yescharacteristic
586#11924007C2×D411yescharacteristic
587#11924007C2×D411yescharacteristic
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73C2×D411yescharacteristic
593C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005C2×D411yescharacteristic
617#11924005C2×D411yescharacteristic
618#11924005C2×D411yescharacteristic
619#11924005C2×D411yescharacteristic
620#11924005C2×D411yescharacteristic
621#11924005C2×D411yescharacteristic
622C4×Dic73—21no—
623C4×Dic73—21no—
624C4×Dic73—21no—
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73C2×D411yescharacteristic
629C4×Dic73C2×D411yescharacteristic
630C4×Dic73C2411yescharacteristic
631C4×Dic73C2411yescharacteristic
632C2×Q8×C73—21no—
633C2×Q8×C73—21no—
634C2×Q8×C73—21no—
635C2×Q8×C73C2411yescharacteristic
636C2×D4×C73—21no—
637C2×D4×C73C2411yescharacteristic
638C22×C4×C73—21no—
639C22×C4×C73—21no—
640C22×C4×C73C2411yescharacteristic
641C2×C8×C73C2411yescharacteristic
642C2×C8×C73C2411yescharacteristic
643C2×C8×C73C2411yescharacteristic
644C2×C8×C73C2411yescharacteristic
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×C73—21no—
653C4⋊C4×C73—21no—
654C4⋊C4×C73—21no—
655C4⋊C4×C73C2×D411yescharacteristic
656C4⋊C4×C73C2×D411yescharacteristic
657C4⋊C4×C73C2411yescharacteristic
658C4⋊C4×C73C2411yescharacteristic
659C4⋊C4×C73C2411yescharacteristic
660C4⋊C4×C73C2411yescharacteristic
661C4⋊C4×C73C2411yescharacteristic
662C4⋊C4×C73C2411yescharacteristic
663C22⋊C4×C73—21no—
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73—21no—
667C22⋊C4×C73—21no—
668C22⋊C4×C73—21no—
669C22⋊C4×C73C2×D411yescharacteristic
670C22⋊C4×C73C2×D411yescharacteristic
671C42×C73—21no—
672C42×C73—21no—
673C42×C73C2411yescharacteristic
674C42×C73C2411yescharacteristic
675C23×C73—21no—
676C23×C73C22×D411yescharacteristic
677C22×D73—21no—
678C22×D73—21no—
679C22×D73—21no—
680C22×D73—42no—
681C22×D73—42no—
682C22×D73—42no—
683C22×D73—81no—
684C22×D73—81no—
685C22×D73—81no—
686C22×D73C22×D411yescharacteristic
687C22×D73C22×D411yescharacteristic
688Q8×C73—21no—
689Q8×C73—21no—
690Q8×C73—81no—
691Q8×C73—81no—
692Q8×C73—81no—
693D4×C73—21no—
694D4×C73—21no—
695D4×C73—81no—
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—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—81no—
706C2×C4×C73—81no—
707C2×C4×C73C22×D411yescharacteristic
708C2×C4×C73C22×D411yescharacteristic
709C2×C4×C73C22×D411yescharacteristic
710C2×C4×C73C22×D411yescharacteristic
711C2×C4×C73C22×D411yescharacteristic
712C2×C4×C73C2511yescharacteristic
713C22⋊D73—22no—
714C22⋊D73—41no—
715C22⋊D73—42no—
716C22⋊D73—81no—
717C22⋊D73—81no—
718C22⋊D73—81no—
719C22⋊D73—81no—
720C2×Dic73—21no—
721C2×Dic73—21no—
722C2×Dic73—21no—
723C2×Dic73—21no—
724C2×Dic73—21no—
725C2×Dic73—81no—
726C2×Dic73C22×D411yescharacteristic
727C2×Dic73C22×D411yescharacteristic
728C2×Dic73C22×D411yescharacteristic
729C2×Dic73C22×D411yescharacteristic
730C2×Dic73C22×D411yescharacteristic
731C2×Dic73C22×D411yescharacteristic
732D292—22no—
733D292—21no—
734D292—21no—
735D292—21no—
736D292—21no—
737D292—21no—
738D292—42no—
739D292—42no—
740D292—42no—
741D292—42no—
742D292—81no—
743D292—81no—
744D2922−1+412yes—
745C4×D73—22no—
746C4×D73—21no—
747C4×D73—21no—
748C4×D73—21no—
749C4×D73—21no—
750C4×D73—41no—
751C4×D73—42no—
752C4×D73—42no—
753C4×D73—42no—
754C4×D73—81no—
755C4×D73—81no—
756C4×D73—81no—
757C4×D73—81no—
758C4×D73—81no—
759C4×D73—81no—
760C4×D73—81no—
761C4×D73—81no—
762C4×D73—81no—
763C4×D73—81no—
764C4×D73—81no—
765C4×D73—81no—
766Dic146—21no—
767Dic146—21no—
768Dic146—41no—
769Dic146—42no—
770Dic146—42no—
771Dic146—81no—
772Dic146—81no—
773C8×C73—21no—
774C8×C73—21no—
775C8×C73—21no—
776C8×C73—21no—
777#10596831—21no—
778#10596831—21no—
779#10596831—21no—
780#10596831—21no—
781C22×C73—21no—
782C22×C73—21no—
783C22×C73—21no—
784C22×C73—41no—
785C22×C73—41no—
786C22×C73—41no—
787C22×C73C23×D411yescharacteristic
788C2×D73—21no—
789C2×D73—21no—
790C2×D73—21no—
791C2×D73—21no—
792C2×D73—22no—
793C2×D73—21no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—41no—
797C2×D73—41no—
798C2×D73—41no—
799C2×D73—41no—
800C2×D73—41no—
801C2×D73—41no—
802C2×D73—84no—
803C2×D73—162no—
804C2×D73#57712yes—
805C4×C73—21no—
806C4×C73—21no—
807C4×C73—21no—
808C4×C73—21no—
809C4×C73—21no—
810C4×C73—41no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73—41no—
815C4×C73—41no—
816C4×C73—41no—
817C4×C73C2×2−1+411yescharacteristic
818C4×C73#58511yescharacteristic
819Dic73—21no—
820Dic73—21no—
821Dic73—21no—
822Dic73—21no—
823Dic73—21no—
824Dic73—21no—
825Dic73—41no—
826Dic73—41no—
827Dic73—41no—
828Dic73—41no—
829Dic73—41no—
830#62156—731nomaximal, Sylow
831C2×C73—41no—
832C2×C73—81no—
833C2×C73#348911yescharacteristic
834C2×C73C2×#57711yescharacteristic
835C2×C73#358511yescharacteristic
836D73—22no—
837D73—41no—
838D73—42no—
839D73—81no—
840D73—81no—
841#3552—731no—
842#3513—731no—
843#3388—731no—
844#3384—731no—
845#3373—731no—
846#3371—731no—
847#3350—731no—
848#3345—731no—
849#3345—731no—
850#3344—731no—
851#3337—731no—
852#3335—731no—
853#3318—731no—
854#3314—731no—
855#3311—731no—
856#3306—731no—
857#3297—731no—
858#3295—731no—
859#3263—731no—
860#3257—731no—
861#3250—731no—
862#3244D7311yescharacteristic, complemented
863#3241—731no—
864#3239—731no—
865#3125—731no—
866#3118—731no—
867#3114—731no—
868#3084—731no—
869#3081—731no—
870C2×#476—731no—
871#2992—731no—
872C73#6215611yescharacteristic, complemented, Sylow
873#563—1461no—
874#563—1461no—
875#559—731no—
876#557—731no—
877#556—731no—
878#554—731no—
879#554—731no—
880#554—731no—
881#553—731no—
882#553—731no—
883#553—731no—
884#553—1461no—
885#552—731no—
886#551—1461no—
887#551—1461no—
888D4×Q8—731no—
889D4×Q8—1461no—
890#548—1461no—
891#547—731no—
892#547—731no—
893#546—731no—
894#546—731no—
895#546—1461no—
896D42—731no—
897#544—731no—
898#544C2×D7311yescharacteristic, complemented
899#542—731no—
900#542—731no—
901#542C2×D7311yescharacteristic
902#541—1461no—
903#540—731no—
904#539—1461no—
905#539—1461no—
906#539—1461no—
907#538—1461no—
908#536—1461no—
909C2×C4⋊Q8—731no—
910#529—731no—
911#529—731no—
912#529—731no—
913#525—1461no—
914C2×#123—1461no—
915#520—731no—
916#518—731no—
917C2×C4×D4—731no—
918#501—731no—
919#501—731no—
920#501—731no—
921#501C2×D7311yescharacteristic, complemented
922#499—731no—
923#498C2×D7311yescharacteristic, complemented
924#490—731no—
925#489—731no—
926#489—731no—
927#489C2×D7311yescharacteristic, complemented
928#488C2×D7311yescharacteristic, complemented
929#486—731no—
930#485—731no—
931#485C2×D7311yescharacteristic, complemented
932#484—731no—
933#484—731no—
934#483—731no—
935#483—731no—
936#483C2×D7311yescharacteristic, complemented
937#482—731no—
938#482—731no—
939#482—731no—
940#482C2×D7311yescharacteristic
941#481—731no—
942#481—731no—
943#481—731no—
944#481—731no—
945#481C2×D7311yescharacteristic
946#480—731no—
947#480—731no—
948#479—731no—
949#479—731no—
950#479—731no—
951#479C2×D7311yescharacteristic, complemented
952#478—731no—
953#478—731no—
954#478—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478—731no—
959#478C2×D7311yescharacteristic, complemented
960#476—731no—
961#476—731no—
962#476—731no—
963#476—731no—
964#476—731no—
965#476—731no—
966#476—731no—
967#476—731no—
968#476—731no—
969#476—731no—
970#476C2×D7311yescharacteristic, complemented
971#475—731no—
972#475—731no—
973#475—731no—
974#475C2×D7311yescharacteristic, complemented
975#474—731no—
976#474—731no—
977#474—731no—
978#470—731no—
979#469—731no—
980#469—731no—
981#468—731no—
982#467—731no—
983#466—731no—
984#466—731no—
985#465—731no—
986#465—731no—
987#465—731no—
988#465—731no—
989#465—731no—
990#464—731no—
991#464—731no—
992#464—731no—
993#463—731no—
994#463—731no—
995#463—731no—
996#463—731no—
997#463—731no—
998#460—731no—
999#459—731no—
1000#452—731no—
1001#450—731no—
1002#450—731no—
1003#449—731no—
1004#447—731no—
1005#447—731no—
1006#446—731no—
1007#446—731no—
1008#442—731no—
1009#442—731no—
1010#442—731no—
1011#442—731no—
1012#441—731no—
1013#440—731no—
1014#440—731no—
1015#440—731no—
1016C4×SD16—731no—
1017C4×SD16—731no—
1018C4×SD16—731no—
1019C4×D8—731no—
1020#435—731no—
1021#435—731no—
1022#435—731no—
1023#435—731no—
1024C8×D4—731no—
1025C8×D4—731no—
1026#433—731no—
1027#433C2×D7311yescharacteristic, complemented
1028#432—731no—
1029#428—731no—
1030#428—731no—
1031#427—731no—
1032C2×#106—731no—
1033C2×#106—731no—
1034C2×#106—731no—
1035#424—731no—
1036#424—731no—
1037C2×C4⋊C8—731no—
1038#418—731no—
1039#417—731no—
1040#416—731no—
1041C2×#102—731no—
1042C2×#102—731no—
1043C2×#102—731no—
1044C2×#41—731no—
1045C2×#41—1461no—
1046C2×#41—1461no—
1047C22×Q8—1461no—
1048C22×Q8—1461no—
1049C22×D4—731no—
1050C22×D4—731no—
1051C22×D4—1461no—
1052C23×C4—1461no—
1053C2×Q16—731no—
1054C2×SD16—731no—
1055C2×SD16—731no—
1056C2×SD16—731no—
1057C2×SD16—731no—
1058C2×D8—731no—
1059C2×D8—731no—
1060C2×D8—731no—
1061C2×M16—731no—
1062C2×M16—731no—
1063C22×C8—731no—
1064C22×C8—731no—
1065C22×C8—731no—
1066C22×C8—731no—
1067C4⋊Q8—21no—
1068C4⋊Q8—731no—
1069C4⋊Q8—731no—
1070C4⋊Q8—731no—
1071C4⋊Q8—731no—
1072C4⋊Q8—1461no—
1073C4⋊Q8—1461no—
1074C4⋊Q8—1461no—
1075C4⋊Q8—1461no—
1076C4⋊Q8C22×D7311yescharacteristic
1077C4⋊Q8C22×D7311yescharacteristic
1078C4⋊Q8C22×D7311yescharacteristic
1079#127—731no—
1080#126—21no—
1081#126—731no—
1082#126—731no—
1083#126—1461no—
1084#126—1461no—
1085#126—1461no—
1086#126—1461no—
1087#126—1461no—
1088#126—1461no—
1089#126—1461no—
1090#126—1461no—
1091#126—1461no—
1092#126—1461no—
1093#125—21no—
1094#125—731no—
1095#125—731no—
1096#125—731no—
1097#125—731no—
1098#125—1461no—
1099#125—1461no—
1100#125—1461no—
1101#125—1461no—
1102#125—1461no—
1103#125—1461no—
1104#125C22×D7311yescharacteristic
1105#125C22×D7311yescharacteristic
1106#124—21no—
1107#124—731no—
1108#124—731no—
1109#124—731no—
1110#124—1461no—
1111#124—1461no—
1112#124—1461no—
1113#124—1461no—
1114#124C22×D7311yescharacteristic
1115#123—21no—
1116#123—731no—
1117#123—731no—
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—
1128#123—1461no—
1129#123—1461no—
1130#123—1461no—
1131#123—1461no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—731no—
1140C22⋊Q8—731no—
1141C22⋊Q8—731no—
1142C22⋊Q8—731no—
1143C22⋊Q8—731no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8—1461no—
1154C22⋊Q8—1461no—
1155C22⋊Q8—1461no—
1156C22⋊Q8—1461no—
1157C22⋊Q8—1461no—
1158C22⋊Q8—1461no—
1159C22⋊Q8—1461no—
1160C22⋊Q8C22×D7311yescharacteristic
1161#121—731no—
1162#121—731no—
1163#121—731no—
1164#121—731no—
1165#121—731no—
1166#121—731no—
1167#121—731no—
1168#121—1461no—
1169#121—1461no—
1170#121—1461no—
1171#121—1461no—
1172#121—1461no—
1173#121—1461no—
1174#121—1461no—
1175#121—1461no—
1176#121C22×D7311yescharacteristic
1177#120—1461no—
1178#120—1461no—
1179#120—1461no—
1180#120—1461no—
1181C4×Q8—731no—
1182C4×Q8—731no—
1183C4×Q8—731no—
1184C4×Q8—731no—
1185C4×Q8—731no—
1186C4×Q8—1461no—
1187C4×Q8—1461no—
1188C4×Q8C22×D7311yescharacteristic
1189C4×D4—731no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—731no—
1195C4×D4—731no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—731no—
1200C4×D4—731no—
1201C4×D4—731no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4—1461no—
1209C4×D4—1461no—
1210C4×D4—1461no—
1211C4×D4—1461no—
1212C4×D4—1461no—
1213C4×D4—1461no—
1214C4×D4—1461no—
1215C4×D4—1461no—
1216C4×D4C22×D7311yescharacteristic
1217#117—731no—
1218#117—731no—
1219#117—731no—
1220#117—1461no—
1221#117—1461no—
1222#117—1461no—
1223#117—1461no—
1224#117C22×D7311yescharacteristic
1225#117C22×D7311yescharacteristic
1226C2×C4⋊C4—731no—
1227C2×C4⋊C4—731no—
1228C2×C4⋊C4—731no—
1229C2×C4⋊C4—731no—
1230C2×C4⋊C4—731no—
1231C2×C4⋊C4—1461no—
1232C2×C4⋊C4—1461no—
1233C2×C4⋊C4—1461no—
1234C2×C4⋊C4C22×D7311yescharacteristic
1235C2×C22⋊C4—1461no—
1236C2×C22⋊C4—1461no—
1237C2×C22⋊C4—1461no—
1238C2×C22⋊C4—1461no—
1239C2×C22⋊C4—1461no—
1240C2×C42—731no—
1241#107—731no—
1242#107—731no—
1243#107—731no—
1244#107—731no—
1245#107—731no—
1246#107—731no—
1247#107C22×D7311yescharacteristic
1248#107C22×D7311yescharacteristic
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106—731no—
1254#106—731no—
1255#106—731no—
1256#106—731no—
1257#106—731no—
1258#106—731no—
1259#106C22×D7311yescharacteristic
1260#106C22×D7311yescharacteristic
1261#106C22×D7311yescharacteristic
1262#106C22×D7311yescharacteristic
1263#106C22×D7311yescharacteristic
1264#106C22×D7311yescharacteristic
1265C4⋊C8—731no—
1266C4⋊C8—731no—
1267C4⋊C8—731no—
1268C4⋊C8—731no—
1269C4⋊C8—731no—
1270C4⋊C8—731no—
1271C4⋊C8—731no—
1272C4⋊C8—731no—
1273C4⋊C8C22×D7311yescharacteristic
1274C4⋊C8C22×D7311yescharacteristic
1275#103—731no—
1276#103—731no—
1277#103—731no—
1278#103—731no—
1279#103—731no—
1280#103—731no—
1281#103C22×D7311yescharacteristic
1282#103C22×D7311yescharacteristic
1283#103C22×D7311yescharacteristic
1284#103C22×D7311yescharacteristic
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#102—731no—
1297#102—731no—
1298#102—731no—
1299#102—731no—
1300#102—731no—
1301#102—731no—
1302#102—731no—
1303#102C22×D7311yescharacteristic
1304#102C22×D7311yescharacteristic
1305#102C22×D7311yescharacteristic
1306#102C22×D7311yescharacteristic
1307C22⋊C8—731no—
1308C22⋊C8—731no—
1309C22⋊C8—731no—
1310C22⋊C8—731no—
1311C22⋊C8C22×D7311yescharacteristic
1312C22⋊C8C22×D7311yescharacteristic
1313#97—731no—
1314#97—731no—
1315#97—731no—
1316#97C22×D7311yescharacteristic
1317C4×C8—731no—
1318C4×C8C22×D7311yescharacteristic
1319C24—1461no—
1320C24—1461no—
1321#41—2921no—
1322#41—5842no—
1323#41—5842no—
1324#41—1462no—
1325C2×Q8—21no—
1326C2×Q8—21no—
1327C2×Q8—21no—
1328C2×Q8—5842no—
1329C2×Q8—5842no—
1330C2×Q8—731no—
1331C2×Q8—731no—
1332C2×Q8—1461no—
1333C2×Q8—1461no—
1334C2×Q8—1461no—
1335C2×Q8—1461no—
1336C2×Q8C23×D7311yescharacteristic
1337C2×D4—21no—
1338C2×D4—2921no—
1339C2×D4—2921no—
1340C2×D4—5842no—
1341C2×D4—731no—
1342C2×D4—731no—
1343C2×D4—731no—
1344C2×D4—731no—
1345C2×D4—731no—
1346C2×D4—731no—
1347C2×D4—1461no—
1348C2×D4—1461no—
1349C2×D4—1461no—
1350C2×D4—1462no—
1351C2×D4—1461no—
1352C2×D4—1461no—
1353C2×D4—1461no—
1354C2×D4—1461no—
1355C2×D4—1461no—
1356C2×D4—1462no—
1357C2×D4—1461no—
1358C2×D4—1461no—
1359C2×D4—1461no—
1360C2×D4C23×D7311yescharacteristic
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—5842no—
1364C22×C4—731no—
1365C22×C4—731no—
1366C22×C4—731no—
1367C22×C4—731no—
1368C22×C4—1461no—
1369C22×C4—1461no—
1370C22×C4—1461no—
1371C22×C4—1461no—
1372C22×C4—1461no—
1373C22×C4—1461no—
1374C22×C4—1461no—
1375C22×C4—1461no—
1376C22×C4—1461no—
1377C22×C4—1461no—
1378C22×C4—1461no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4—1461no—
1383C22×C4—1461no—
1384C22×C4C23×D7311yescharacteristic
1385Q16—2921no—
1386SD16—2921no—
1387SD16—2921no—
1388SD16—2921no—
1389SD16—1462no—
1390D8—2921no—
1391D8—2921no—
1392D8—1462no—
1393M16—2921no—
1394M16—2921no—
1395C2×C8—2921no—
1396C2×C8—2921no—
1397C2×C8—2921no—
1398C2×C8—2921no—
1399C2×C8—731no—
1400C2×C8—731no—
1401C2×C8—731no—
1402C2×C8—731no—
1403C2×C8C23×D7311yescharacteristic
1404C2×C8C23×D7311yescharacteristic
1405C2×C8C23×D7311yescharacteristic
1406C2×C8C23×D7311yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—731no—
1418C4⋊C4—731no—
1419C4⋊C4—731no—
1420C4⋊C4—731no—
1421C4⋊C4—731no—
1422C4⋊C4—731no—
1423C4⋊C4—731no—
1424C4⋊C4—731no—
1425C4⋊C4—731no—
1426C4⋊C4—731no—
1427C4⋊C4—731no—
1428C4⋊C4—731no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4—1461no—
1436C4⋊C4—1461no—
1437C4⋊C4—1461no—
1438C4⋊C4—1461no—
1439C4⋊C4—1461no—
1440C4⋊C4—1461no—
1441C4⋊C4—1461no—
1442C4⋊C4—1461no—
1443C4⋊C4—1461no—
1444C4⋊C4—1461no—
1445C4⋊C4—1461no—
1446C4⋊C4—1461no—
1447C4⋊C4—1461no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4D4×D7311yescharacteristic
1453C4⋊C4D4×D7311yescharacteristic
1454C4⋊C4C23×D7311yescharacteristic
1455C4⋊C4C23×D7311yescharacteristic
1456C4⋊C4C23×D7311yescharacteristic
1457C4⋊C4C23×D7311yescharacteristic
1458C4⋊C4C23×D7311yescharacteristic
1459C4⋊C4C23×D7311yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—731no—
1467C22⋊C4—731no—
1468C22⋊C4—731no—
1469C22⋊C4—731no—
1470C22⋊C4—731no—
1471C22⋊C4—731no—
1472C22⋊C4—731no—
1473C22⋊C4—731no—
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⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4—1461no—
1489C22⋊C4—1461no—
1490C22⋊C4—1461no—
1491C22⋊C4—1461no—
1492C22⋊C4—1461no—
1493C22⋊C4—1461no—
1494C22⋊C4—1461no—
1495C22⋊C4—1461no—
1496C22⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4D4×D7311yescharacteristic
1501C22⋊C4D4×D7311yescharacteristic
1502C42—21no—
1503C42—21no—
1504C42—731no—
1505C42—731no—
1506C42—731no—
1507C42—731no—
1508C42—1461no—
1509C42—1461no—
1510C42—1461no—
1511C42—1461no—
1512C42—1461no—
1513C42—1461no—
1514C42C23×D7311yescharacteristic
1515C42C23×D7311yescharacteristic
1516C23—21no—
1517C23—2922no—
1518C23—2922no—
1519C23—2922no—
1520C23—5841no—
1521C23—5841no—
1522C23—5841no—
1523C23—731no—
1524C23—731no—
1525C23—1461no—
1526C23—1461no—
1527C23—1461no—
1528C23C2×D4×D7311yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—81no—
1532Q8—81no—
1533Q8—81no—
1534Q8—2921no—
1535Q8—2922no—
1536Q8—2922no—
1537Q8—5841no—
1538Q8—5841no—
1539Q8—1461no—
1540Q8—1461no—
1541D4—21no—
1542D4—21no—
1543D4—81no—
1544D4—2922no—
1545D4—2922no—
1546D4—2922no—
1547D4—2922no—
1548D4—2921no—
1549D4—2922no—
1550D4—5841no—
1551D4—5841no—
1552D4—5841no—
1553D4—5841no—
1554D4—5841no—
1555D4—5841no—
1556D4—732no—
1557D4—1462no—
1558D4—1462no—
1559D4—1461no—
1560D4—1461no—
1561D4—1461no—
1562D4—1461no—
1563D4—1461no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—81no—
1574C2×C4—81no—
1575C2×C4—2921no—
1576C2×C4—2922no—
1577C2×C4—2922no—
1578C2×C4—2922no—
1579C2×C4—5841no—
1580C2×C4—5841no—
1581C2×C4—5841no—
1582C2×C4—5841no—
1583C2×C4—5841no—
1584C2×C4—5841no—
1585C2×C4—5841no—
1586C2×C4—5841no—
1587C2×C4—5841no—
1588C2×C4—5841no—
1589C2×C4—5841no—
1590C2×C4—5841no—
1591C2×C4—5841no—
1592C2×C4—731no—
1593C2×C4—731no—
1594C2×C4—731no—
1595C2×C4—731no—
1596C2×C4—731no—
1597C2×C4—731no—
1598C2×C4—1462no—
1599C2×C4—1461no—
1600C2×C4—1461no—
1601C2×C4—1461no—
1602C2×C4—1461no—
1603C2×C4—1461no—
1604C2×C4—1461no—
1605C2×C4—1461no—
1606C2×C4—1461no—
1607C2×C4—1461no—
1608C2×C4C2×D4×D7311yescharacteristic
1609C2×C4C2×D4×D7311yescharacteristic
1610C2×C4C2×D4×D7311yescharacteristic
1611C2×C4C2×D4×D7311yescharacteristic
1612C2×C4C2×D4×D7311yescharacteristic
1613C2×C4C24×D7311yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1461no—
1619C8—1461no—
1620C8—1461no—
1621C8—1461no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—2921no—
1629C22—2921no—
1630C22—2921no—
1631C22—2921no—
1632C22—2921no—
1633C22—2921no—
1634C22—2921no—
1635C22—2921no—
1636C22—5844no—
1637C22—732no—
1638C22—11682no—
1639C22—1462no—
1640C22—1461no—
1641C22—1461no—
1642C22—1461no—
1643C22—1461no—
1644C22—1461no—
1645C22C22×D4×D7311yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—2921no—
1659C4—2921no—
1660C4—2921no—
1661C4—2921no—
1662C4—2921no—
1663C4—1461no—
1664C4—1461no—
1665C4—1461no—
1666C4—1461no—
1667C4—1461no—
1668C4—1461no—
1669C42−1+4×D7311yescharacteristic
1670C4#1798942411yescharacteristic
1671C2—41no—
1672C2—81no—
1673C2—2922no—
1674C2—2921no—
1675C2—5841no—
1676C2—5841no—
1677C2—1462no—
1678C2#2262360911yescharacteristic
1679C2#577×D7311yescharacteristic
1680C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3244C2
socleC22×C73C23×D4
hypercenter#3244D73
hypocenterC73#62156
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. #22624371C2semidirect
2. #22623877C2semidirect
3. #22622875C2semidirect
4. #22622835C2semidirect
5. #22622720C2semidirect
6. #22622705C2semidirect
7. #22622480C2semidirect
8. #22622400C2semidirect
9. #22622394C2semidirect
10. #22622389C2semidirect
11. #22622313C2semidirect
12. #22622287C2semidirect
13. #22622075C2semidirect
14. #22622011C2semidirect
15. #22621970C2semidirect
16. #22621890C2semidirect
17. #22621780C2semidirect
18. #22621753C2semidirect
19. #22621396C2semidirect
20. #22621341C2semidirect
21. #22621285C2semidirect
22. #22621181C2semidirect
23. #22621165C2semidirect
24. #22620215C2semidirect
25. #22620117C2semidirect
26. #22620074C2semidirect
27. #22619796C2semidirect
28. #22619756C2semidirect
29. #476×D73C2semidirect
30. #22619065C2semidirect
31. C73×#3244C2semidirect
35. #17989314C22semidirect
36. #17989305C22semidirect
38. #17989298C22semidirect
40. #17989290C22semidirect
48. #17989252C22semidirect
51. #17989238C22semidirect
56. #17989217C22semidirect
57. #17989211C22semidirect
58. #17989208C22semidirect
66. C4⋊Q8×D73C22semidirect
68. #17989122C22semidirect
75. #17988994C22semidirect
76. #17988994C22semidirect
77. #17988994C22semidirect
78. #17988988C22semidirect
80. #17988948C22semidirect
81. #17988948C22semidirect
83. #17988929C22semidirect
84. #17988921C22semidirect
85. #17988921C22semidirect
86. #17988919C22semidirect
87. #17988919C22semidirect
88. #17988914C22semidirect
89. #17988912C22semidirect
90. #17988909C22semidirect
93. #17988907C22semidirect
94. #17988907C22semidirect
95. #17988902C22semidirect
96. #17988899C22semidirect
97. #17988897C22semidirect
98. #17988893C22semidirect
99. #17988892C22semidirect
101. #17988886C22semidirect
102. #17988886C22semidirect
105. #17988884C22semidirect
106. #17988884C22semidirect
108. #17988877C22semidirect
112. #17988875C22semidirect
113. #17988875C22semidirect
115. #17988874C22semidirect
116. #17988874C22semidirect
117. #17988872C22semidirect
118. #17988870C22semidirect
119. #17988869C22semidirect
120. #17988868C22semidirect
122. #17988864C22semidirect
123. #17988843C22semidirect
124. #17988841C22semidirect
126. #17988832C22semidirect
127. #17988827C22semidirect
129. #17988822C22semidirect
130. #17988819C22semidirect
131. #17988818C22semidirect
133. #17988817C22semidirect
135. #17988812C22semidirect
136. #17988809C22semidirect
137. #17988806C22semidirect
138. #17988805C22semidirect
140. #17988803C22semidirect
141. #17988802C22semidirect
142. #17988799C22semidirect
151. #17988717C22semidirect
152. #17988715C22semidirect
153. #17988700C22semidirect
156. #17988696C22semidirect
157. #17988691C22semidirect
160. #17988684C22semidirect
161. C4×#11924017C22semidirect
163. #17988672C22semidirect
166. #17988661C22semidirect
167. #17988660C22semidirect
168. #17988655C22semidirect
169. C8×D292C22semidirect
171. #17988647C22semidirect
172. #17988643C22semidirect
173. #17988628C22semidirect
174. #17988627C22semidirect
175. #17988623C22semidirect
176. #106×D73C22semidirect
177. #106×D73C22semidirect
178. #106×D73C22semidirect
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
862. #3244D73semidirect
872. C73#62156semidirect
898. #544C2×D73semidirect
921. #501C2×D73semidirect
923. #498C2×D73semidirect
927. #489C2×D73semidirect
928. #488C2×D73semidirect
931. #485C2×D73semidirect
936. #483C2×D73semidirect
951. #479C2×D73semidirect
959. #478C2×D73semidirect
970. #476C2×D73semidirect
974. #475C2×D73semidirect
1027. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243712
#226238772
#226228752
#226228352
#226227202
#226227052
#226224802
#226224002
#226223942
#226223892
#226223132
#226222872
#226220752
#226220112
#226219702
#226218902
#226217802
#226217532
#226213962
#226213412
#226212852
#226211812
#226211652
#226202152
#226201172
#226200742
#226197962
#226197562
#476×D732
#226190652
C73×#32442
#6215673