Finite Group Databasebeta

← #33966125

Subgroups — #33966125

Order 18688.

1792 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623821C211yesmaximal, characteristic, complemented
2#22623742C211yesmaximal, characteristic, complemented
3#22622780C211yesmaximal, characteristic, complemented
4#22622767C211yesmaximal, characteristic, complemented
5#22622762C211yesmaximal, characteristic, complemented
6#22622751C211yesmaximal, characteristic, complemented
7#22622748C211yesmaximal, characteristic, complemented
8#22622744C211yesmaximal, characteristic, complemented
9#22622723C211yesmaximal, characteristic, complemented
10#22622718C211yesmaximal, characteristic, complemented
11#22622701C211yesmaximal, characteristic, complemented
12#22622698C211yesmaximal, characteristic, complemented
13#22622685C211yesmaximal, characteristic, complemented
14#22622680C211yesmaximal, characteristic, complemented
15#22622676C211yesmaximal, characteristic, complemented
16#22622668C211yesmaximal, characteristic, complemented
17#22622650C211yesmaximal, characteristic, complemented
18#22620291C211yesmaximal, characteristic, complemented
19#22620282C211yesmaximal, characteristic, complemented
20#489×D73C211yesmaximal, characteristic, complemented
21#22619768C211yesmaximal, characteristic, complemented
22#22619755C211yesmaximal, characteristic, complemented
23#22619745C211yesmaximal, characteristic, complemented
24#22619476C211yesmaximal, characteristic, complemented
25#22619471C211yesmaximal, characteristic
26#22619420C211yesmaximal, characteristic, complemented
27#22618867C211yesmaximal, characteristic, complemented
28#22618771C211yesmaximal, characteristic, complemented
29#22618756C211yesmaximal, characteristic, complemented
30#22618726C211yesmaximal, characteristic, complemented
31C73×#3367C211yesmaximal, characteristic, complemented
32C2×#14556620C2211yescharacteristic
33C2×#14556615C2211yescharacteristic
34C2×#14556612C2211yescharacteristic
35#17989322C2211yescharacteristic
36#17989322C2211yescharacteristic
37#17989320C2211yescharacteristic
38#17989319C2211yescharacteristic
39#17989317C2211yescharacteristic, complemented
40#17989317C2211yescharacteristic, complemented
41#17989315C2211yescharacteristic, complemented
42#17989312C2211yescharacteristic, complemented
43#17989311C2211yescharacteristic
44#17989309C2211yescharacteristic
45#17989306C2211yescharacteristic
46#17989296C2211yescharacteristic, complemented
47#17989296C2211yescharacteristic, complemented
48#17989291—21no—
49#17989291—21no—
50#17989264—21no—
51#17989262—21no—
52#17989262—21no—
53#17989261—21no—
54D4×Dic146C2211yescharacteristic, complemented
55Q8×C22⋊D73—21no—
56#17989250—21no—
57#17989216—21no—
58#17989216—21no—
59#17989214C2211yescharacteristic
60#17989214C2211yescharacteristic
61#17989207—21no—
62#17989203—21no—
63#17989162C2211yescharacteristic
64#17989155C2211yescharacteristic
65#17989141C2211yescharacteristic
66#17989139—21no—
67C2×#14556589—21no—
68C4⋊Q8×D73C2211yescharacteristic
69#17989120—21no—
70#17989115—21no—
71#124×D73C2211yescharacteristic
72#17989066C2211yescharacteristic
73#17989066C2211yescharacteristic
74#17989063C2211yescharacteristic
75#17989059C2211yescharacteristic
76C4×#11924029C2211yescharacteristic
77C4×#11924027C2211yescharacteristic
78#17988955C2211yescharacteristic, complemented
79#17988954C2211yescharacteristic, complemented
80#17988952C2211yescharacteristic
81#17988950C2211yescharacteristic
82#17988949C2211yescharacteristic
83#17988949C2211yescharacteristic, complemented
84#17988948C2211yescharacteristic
85#17988948C2211yescharacteristic
86#17988948C2211yescharacteristic
87#17988948C2211yescharacteristic, complemented
88#17988947C2211yescharacteristic
89#17988946C2211yescharacteristic
90#17988945C2211yescharacteristic
91#17988945C2211yescharacteristic
92#17988943C2211yescharacteristic
93#17988943C2211yescharacteristic, complemented
94#17988942C2211yescharacteristic, complemented
95#17988941C2211yescharacteristic
96#17988936C2211yescharacteristic, complemented
97#17988935C2211yescharacteristic
98#17988932C2211yescharacteristic
99#17988896C2211yescharacteristic, complemented
100#17988895C2211yescharacteristic, complemented
101#17988894C2211yescharacteristic, complemented
102#17988893C2211yescharacteristic, complemented
103#17988890C2211yescharacteristic
104#17988888C2211yescharacteristic
105#17988887C2211yescharacteristic
106#17988885C2211yescharacteristic
107#17988882C2211yescharacteristic, complemented
108#17988881C2211yescharacteristic, complemented
109#17988878C2211yescharacteristic, complemented
110#17988875C2211yescharacteristic
111#17988874C2211yescharacteristic
112#17988874C2211yescharacteristic, complemented
113#17988870C2211yescharacteristic, complemented
114#17988870C2211yescharacteristic, complemented
115#17988870C2211yescharacteristic, complemented
116#17988869C2211yescharacteristic, complemented
117#17988866C2211yescharacteristic
118#17988866C2211yescharacteristic, complemented
119#17988866C2211yescharacteristic, complemented
120#17988812C2211yescharacteristic
121#17988812C2211yescharacteristic
122#17988812C2211yescharacteristic, complemented
123#17988810C2211yescharacteristic
124#17988810C2211yescharacteristic, complemented
125#17988808C2211yescharacteristic
126#17988806C2211yescharacteristic
127#17988806C2211yescharacteristic
128#17988804C2211yescharacteristic
129#17988804C2211yescharacteristic
130#17988804C2211yescharacteristic, complemented
131#17988802C2211yescharacteristic
132#17988802C2211yescharacteristic, complemented
133#17988800C2211yescharacteristic
134#17988796C2211yescharacteristic, complemented
135#17988794C2211yescharacteristic, complemented
136#17988790C2211yescharacteristic, complemented
137#17988788C2211yescharacteristic
138#17988786C2211yescharacteristic
139#17988782C2211yescharacteristic
140#17988780C2211yescharacteristic
141#17988718C2211yescharacteristic, complemented
142#17988717C2211yescharacteristic, complemented
143#17988716C2211yescharacteristic, complemented
144#17988716C2211yescharacteristic, complemented
145#17988715C2211yescharacteristic, complemented
146#17988715C2211yescharacteristic, complemented
147#17988714C2211yescharacteristic, complemented
148#17988699C2211yescharacteristic
149#17988697C2211yescharacteristic
150#17988697C2211yescharacteristic, complemented
151#17988696C2211yescharacteristic, complemented
152#17988695C2211yescharacteristic, complemented
153#17988692C2211yescharacteristic, complemented
154#17988691C2211yescharacteristic, complemented
155#17988691C2211yescharacteristic, complemented
156#17988689C2211yescharacteristic, complemented
157#17988688C2211yescharacteristic, complemented
158#17988687C2211yescharacteristic
159#17988686C2211yescharacteristic
160#17988686C2211yescharacteristic, complemented
161#17988684C2211yescharacteristic, complemented
162#17988681C2211yescharacteristic, complemented
163C4×#11924018C2211yescharacteristic, complemented
164#17988678C2211yescharacteristic
165C4×#11924017C2211yescharacteristic
166SD16×Dic73C2211yescharacteristic, complemented
167C4×#11924016C2211yescharacteristic, complemented
168#17988667C2211yescharacteristic
169#17988628C2211yescharacteristic
170#17988628C2211yescharacteristic
171#17988624C2211yescharacteristic
172#17988612C2211yescharacteristic
173#17988612C2211yescharacteristic
174#17988609C2211yescharacteristic
175#17988594C2211yescharacteristic
176#17988590C2211yescharacteristic
177#17988587C2211yescharacteristic
178#17988587C2211yescharacteristic
179#17988582C2211yescharacteristic
180#17988580C2211yescharacteristic
181#103×D73C2211yescharacteristic
182#103×D73C2211yescharacteristic
183#102×D73C2211yescharacteristic
184#102×D73C2211yescharacteristic
185#17988544C2211yescharacteristic
186#17988541C2211yescharacteristic
187#97×D73C2211yescharacteristic
188#556×C73C2211yescharacteristic
189D4×Q8×C73C2211yescharacteristic, complemented
190#489×C73C2211yescharacteristic
191#489×C73C2211yescharacteristic
192#487×C73C2211yescharacteristic, complemented
193#477×C73C2211yescharacteristic, complemented
194#477×C73C2211yescharacteristic, complemented
195#474×C73C2211yescharacteristic
196#463×C73C2211yescharacteristic
197#463×C73C2211yescharacteristic
198#461×C73C2211yescharacteristic, complemented
199#446×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202C4×D8×C73C2211yescharacteristic
203C2×#11924029C2311yescharacteristic
204C2×#11924027C2311yescharacteristic
205C22×Dic146—21no—
206C2×Q8×D73—21no—
207C2×Q8×D73C2311yescharacteristic
208C2×D4×D73C2311yescharacteristic
209#14556620—24no—
210#14556615—24no—
211#14556612—24no—
212C2×Dic292C2311yescharacteristic
213C2×#11924018C2311yescharacteristic
214C2×#11924018C2311yescharacteristic
215C2×#11924017C2311yescharacteristic
216C2×#11924017C2311yescharacteristic
217C2×#11924016C2311yescharacteristic
218C2×#11924016C2311yescharacteristic
219C2×#11924013C2311yescharacteristic
220C2×#11924013C2311yescharacteristic
221C2×#11924011C2311yescharacteristic
222C2×#11924011C2311yescharacteristic
223C2×C8×D73C2311yescharacteristic
224C2×C8×D73C2311yescharacteristic
225#14556591C2311yescharacteristic
226#14556590—21no—
227#14556590—21no—
228#14556590—21no—
229#14556590D411yescharacteristic
230#14556590C2311yescharacteristic
231#14556590C2311yescharacteristic
232#14556590C2311yescharacteristic
233#14556590C2311yescharacteristic
234#14556589—21no—
235#14556589—21no—
236#14556589—21no—
237#14556589—21no—
238#14556589—21no—
239#14556589—21no—
240#14556589—21no—
241#14556589—21no—
242#14556589—21no—
243#14556589D411yescharacteristic
244#14556589C2311yescharacteristic
245#14556588C2311yescharacteristic
246#14556587C2311yescharacteristic
247#14556586—21no—
248#14556586—21no—
249#14556586—21no—
250#14556585—21no—
251#14556584—21no—
252#14556584—21no—
253#14556583C2311yescharacteristic
254#14556583C2311yescharacteristic
255#14556582C2311yescharacteristic
256#14556582C2311yescharacteristic
257#14556581—21no—
258#14556581—21no—
259#14556581—21no—
260#14556581—21no—
261#14556581—21no—
262#14556581—21no—
263#14556581D411yescharacteristic
264#14556581D411yescharacteristic
265#14556580—21no—
266#14556580C2311yescharacteristic
267#14556580C2311yescharacteristic
268#14556580C2311yescharacteristic
269#14556579—21no—
270#14556579C2311yescharacteristic
271#14556579C2311yescharacteristic
272#14556578C2311yescharacteristic
273#14556577—21no—
274#14556577—21no—
275#14556577—21no—
276#14556577—21no—
277#14556576—21no—
278#14556576—21no—
279#14556576—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576—21no—
283#14556575—21no—
284#14556574—21no—
285#14556573—21no—
286#14556573—21no—
287#14556571—21no—
288#14556571D411yescharacteristic
289#14556570—21no—
290#14556570—21no—
291#14556570—21no—
292#14556569—21no—
293#14556569—21no—
294#14556569—21no—
295#14556569—21no—
296#14556569—21no—
297#14556569D411yescharacteristic
298#14556569D411yescharacteristic
299#14556568—21no—
300#14556568—21no—
301#14556568—21no—
302#14556568—21no—
303#14556568—21no—
304#14556568—21no—
305#14556568—21no—
306#14556567—21no—
307#14556567—21no—
308#14556567D411yescharacteristic
309#14556564—21no—
310#14556564—21no—
311#14556561—21no—
312#14556561—21no—
313Q8×Dic73—21no—
314Q8×Dic73C2311yescharacteristic
315Q8×Dic73C2311yescharacteristic
316C4×Dic146—21no—
317C4×Dic146C2311yescharacteristic
318C4×Dic146C2311yescharacteristic
319C4×Dic146C2311yescharacteristic
320C4×Dic146C2311yescharacteristic
321C4×Dic146C2311yescharacteristic
322C4×Dic146C2311yescharacteristic
323C4×Dic146C2311yescharacteristic
324#14556556—21no—
325#14556556—21no—
326#14556556—21no—
327#14556556—21no—
328#14556556C2311yescharacteristic
329#14556556C2311yescharacteristic
330#14556556C2311yescharacteristic
331#14556556C2311yescharacteristic
332C4×D292—21no—
333C4×D292—21no—
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340#14556553—21no—
341#14556553—21no—
342#14556553C2311yescharacteristic
343#14556553C2311yescharacteristic
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556551—21no—
354#14556549—21no—
355#14556549—21no—
356#14556549—21no—
357#14556549C2311yescharacteristic
358#14556549C2311yescharacteristic
359#14556548—21no—
360#14556548—21no—
361#14556548C2311yescharacteristic
362#14556548C2311yescharacteristic
363#14556547—21no—
364#14556547—21no—
365#14556547—21no—
366#14556547—21no—
367C2×#11924007—21no—
368C2×#11924007—21no—
369C2×#11924007—21no—
370C2×#11924007—21no—
371C4⋊C4×D73—21no—
372C4⋊C4×D73C2311yescharacteristic
373C4⋊C4×D73C2311yescharacteristic
374C2×#11924005—21no—
375C22⋊C4×D73—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C2×C4×Dic73—21no—
379C42×D73—21no—
380C42×D73C2311yescharacteristic
381#14556525C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556523C2311yescharacteristic
386#14556522C2311yescharacteristic
387#14556522C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390C4⋊#10596831C2311yescharacteristic
391C4⋊#10596831C2311yescharacteristic
392C4⋊#10596831C2311yescharacteristic
393#14556520C2311yescharacteristic
394#14556520C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556502C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435C4×#10596831C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C22×Q8×C73—21no—
439C2×SD16×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×D8×C73C2311yescharacteristic
442C4⋊Q8×C73C2311yescharacteristic
443C4⋊Q8×C73C2311yescharacteristic
444C4⋊Q8×C73C2311yescharacteristic
445C4⋊Q8×C73C2311yescharacteristic
446#126×C73—21no—
447#126×C73—21no—
448#124×C73C2311yescharacteristic
449#124×C73C2311yescharacteristic
450C22⋊Q8×C73—21no—
451C22⋊Q8×C73—21no—
452C22⋊Q8×C73—21no—
453C22⋊Q8×C73—21no—
454C4×Q8×C73C2311yescharacteristic
455C4×Q8×C73C2311yescharacteristic
456C4×Q8×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461#117×C73—21no—
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465C4⋊C8×C73C2311yescharacteristic
466C4⋊C8×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482#11924029—22no—
483#11924029—22no—
484#11924027—22no—
485#11924027#4114yes—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—82no—
493C2×Dic146C2×D411yescharacteristic
494C2×Dic146C2×D411yescharacteristic
495C2×Dic146C2×D411yescharacteristic
496C2×Dic146C2411yescharacteristic
497C2×Dic146C2411yescharacteristic
498Q8×D73—22no—
499Q8×D73—22no—
500Q8×D73—82no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292C2411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510D4×D73—22no—
511D4×D73—22no—
512C22×Dic73—21no—
513C22×Dic73—21no—
514C22×Dic73—21no—
515C22×Dic73—21no—
516C22×Dic73—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×D73C2×D411yescharacteristic
526C2×C4×D73C2×D411yescharacteristic
527C2×C4×D73C2411yescharacteristic
528Dic292—22no—
529#11924018—22no—
530#11924018—22no—
531#11924017—22no—
532#11924017—22no—
533#11924016—22no—
534#11924016—22no—
535#11924013—22no—
536#11924013—22no—
537#11924011—22no—
538#11924011—22no—
539C2×#10596831C2411yescharacteristic
540C2×#10596831C2411yescharacteristic
541C2×#10596831C2411yescharacteristic
542C2×#10596831C2411yescharacteristic
543C8×D73—22no—
544C8×D73—22no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73—21no—
550C4⋊Dic73C2×D411yescharacteristic
551C4⋊Dic73C2×D411yescharacteristic
552C4⋊Dic73C2×D411yescharacteristic
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#11924007C2×D411yescharacteristic
580#11924007C2×D411yescharacteristic
581#11924007C2×D411yescharacteristic
582#11924007C2×D411yescharacteristic
583#11924007C2×D411yescharacteristic
584#11924007C2×D411yescharacteristic
585#11924007C2×D411yescharacteristic
586#11924007C2×D411yescharacteristic
587#11924007C2×D411yescharacteristic
588#11924007C2×D411yescharacteristic
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—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#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×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73C2×D411yescharacteristic
628C4×Dic73C2×D411yescharacteristic
629C4×Dic73C2411yescharacteristic
630C4×Dic73C2411yescharacteristic
631C4×Dic73C2411yescharacteristic
632C2×Q8×C73—21no—
633C2×Q8×C73—21no—
634C2×Q8×C73—21no—
635C2×Q8×C73—82no—
636C2×Q8×C73C2×D411yescharacteristic
637C2×Q8×C73C2411yescharacteristic
638C2×Q8×C73C2411yescharacteristic
639C2×D4×C73C2411yescharacteristic
640C2×D4×C73C2411yescharacteristic
641C22×C4×C73—21no—
642C22×C4×C73—21no—
643C22×C4×C73—21no—
644C22×C4×C73—21no—
645SD16×C73—22no—
646SD16×C73—22no—
647D8×C73—22no—
648C2×C8×C73C2411yescharacteristic
649C2×C8×C73C2411yescharacteristic
650C2×C8×C73C2411yescharacteristic
651C2×C8×C73C2411yescharacteristic
652C4⋊C4×C73—21no—
653C4⋊C4×C73—21no—
654C4⋊C4×C73—21no—
655C4⋊C4×C73—21no—
656C4⋊C4×C73—21no—
657C4⋊C4×C73—21no—
658C4⋊C4×C73—21no—
659C4⋊C4×C73C2×D411yescharacteristic
660C4⋊C4×C73C2×D411yescharacteristic
661C4⋊C4×C73C2×D411yescharacteristic
662C4⋊C4×C73C2411yescharacteristic
663C4⋊C4×C73C2411yescharacteristic
664C4⋊C4×C73C2411yescharacteristic
665C4⋊C4×C73C2411yescharacteristic
666C22⋊C4×C73—21no—
667C22⋊C4×C73—21no—
668C22⋊C4×C73—21no—
669C22⋊C4×C73—21no—
670C22⋊C4×C73—21no—
671C22⋊C4×C73—21no—
672C22⋊C4×C73—21no—
673C22⋊C4×C73—21no—
674C42×C73—21no—
675C42×C73—21no—
676C42×C73C2411yescharacteristic
677C42×C73C2411yescharacteristic
678C42×C73C2411yescharacteristic
679C23×C73—21no—
680C23×C73—21no—
681C22×D73—21no—
682C22×D73—21no—
683C22×D73—42no—
684C22×D73—81no—
685C22×D73—81no—
686C22×D73C22×D411yescharacteristic
687Q8×C73—21no—
688Q8×C73—21no—
689Q8×C73—21no—
690Q8×C73—21no—
691Q8×C73—41no—
692Q8×C73—42no—
693Q8×C73—81no—
694Q8×C73—81no—
695D4×C73—21no—
696D4×C73—21no—
697D4×C73—21no—
698D4×C73C2×#4112yes—
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—42no—
706C2×C4×C73—81no—
707C2×C4×C73—81no—
708C2×C4×C73—81no—
709C2×C4×C73C22×D411yescharacteristic
710C2×C4×C73C22×D411yescharacteristic
711C2×C4×C73C22×D411yescharacteristic
712C2×C4×C73C22×D411yescharacteristic
713C2×C4×C73C22×D411yescharacteristic
714C2×C4×C73C22×D411yescharacteristic
715C2×C4×C73C2511yescharacteristic
716C22⋊D73—24no—
717C22⋊D73—42no—
718C22⋊D73—81no—
719C22⋊D73—81no—
720C2×Dic73—21no—
721C2×Dic73—24no—
722C2×Dic73—21no—
723C2×Dic73—21no—
724C2×Dic73—21no—
725C2×Dic73—21no—
726C2×Dic73—21no—
727C2×Dic73—42no—
728C2×Dic73—81no—
729C2×Dic73—81no—
730C2×Dic73—81no—
731C2×Dic73C22×D411yescharacteristic
732C2×Dic73C22×D411yescharacteristic
733C2×Dic73C22×D411yescharacteristic
734C2×Dic73C22×D411yescharacteristic
735C2×Dic73C22×D411yescharacteristic
736C2×Dic73C22×D411yescharacteristic
737C2×Dic73C22×D411yescharacteristic
738D292—21no—
739D292—21no—
740D292—21no—
741D292—21no—
742D292—42no—
743D292—81no—
744D292—81no—
745C4×D73—41no—
746C4×D73—41no—
747C4×D73—42no—
748C4×D73—42no—
749C4×D73—81no—
750C4×D73—81no—
751C4×D73—81no—
752C4×D73—81no—
753C4×D73—81no—
754C4×D73—81no—
755C4×D73C2×#4112yes—
756C4×D732−1+412yes—
757Dic146—21no—
758Dic146—21no—
759Dic146—21no—
760Dic146—41no—
761Dic146—41no—
762Dic146—41no—
763Dic146—42no—
764Dic146—42no—
765Dic146—81no—
766Dic146—81no—
767Dic146—81no—
768Dic146—81no—
769Dic146C2×#4112yes—
770C8×C73—21no—
771C8×C73—21no—
772C8×C73—21no—
773C8×C73—21no—
774#10596831—21no—
775#10596831—21no—
776#10596831—21no—
777#10596831—21no—
778C22×C73—22no—
779C22×C73—41no—
780C22×C73—41no—
781C22×C73—41no—
782C22×C73—41no—
783C22×C73—41no—
784C22×C73C23×D411yescharacteristic
785C2×D73—21no—
786C2×D73—21no—
787C2×D73—41no—
788C2×D73—41no—
789C2×D73—41no—
790C2×D73—41no—
791C2×D73—41no—
792C2×D73—41no—
793C2×D73—162no—
794C2×D73#54812yes—
795C4×C73—21no—
796C4×C73—21no—
797C4×C73—21no—
798C4×C73—21no—
799C4×C73—21no—
800C4×C73—21no—
801C4×C73—41no—
802C4×C73—41no—
803C4×C73—41no—
804C4×C73—41no—
805C4×C73—41no—
806C4×C73—41no—
807C4×C73C22×#4111yescharacteristic
808C4×C73C2×2−1+411yescharacteristic
809Dic73—21no—
810Dic73—21no—
811Dic73—21no—
812Dic73—21no—
813Dic73—21no—
814Dic73—21no—
815Dic73—22no—
816Dic73—41no—
817Dic73—41no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73#54812yes—
822#61336—731nomaximal, Sylow
823C2×C73—42no—
824C2×C73—81no—
825C2×C73C2×#54811yescharacteristic
826C2×C73#358511yescharacteristic
827C2×C73#358611yescharacteristic
828D73—22no—
829D73—81no—
830D73—81no—
831#3510—731no—
832#3503—731no—
833#3377—731no—
834#3377—731no—
835#3376—731no—
836#3376—731no—
837#3375—731no—
838#3375—731no—
839#3373—731no—
840#3373—731no—
841#3371—731no—
842#3371—731no—
843#3370—731no—
844#3370—731no—
845#3369—731no—
846#3369—731no—
847#3367—731no—
848#3367D7311yescharacteristic, complemented
849#3137—731no—
850#3136—731no—
851C2×#489—731no—
852#3082—731no—
853#3081—731no—
854#3079—731no—
855#3046—731no—
856#3045—731no—
857#3040—731no—
858#2961—731no—
859#2947—731no—
860#2946—731no—
861#2943—731no—
862C73#6133611yescharacteristic, complemented, Sylow
863C2×#137—731no—
864C2×AGL(1,ℤ/8)—731no—
865C2×#135—731no—
866#559—731no—
867#559—731no—
868#559—731no—
869#559—731no—
870Q82—731no—
871Q82—731no—
872#557—731no—
873#557—731no—
874#556—731no—
875#556—731no—
876#556—731no—
877#556C2×D7311yescharacteristic
878#554—731no—
879#554—731no—
880#554—1461no—
881#554—1461no—
882#551—1461no—
883#551—1461no—
884#551—1461no—
885#551—1461no—
886D4×Q8—731no—
887D4×Q8—1461no—
888D4×Q8—1461no—
889D4×Q8C2×D7311yescharacteristic, complemented
890#544—731no—
891#544—731no—
892#544—1461no—
893#544—1461no—
894#542—1461no—
895#542—1461no—
896#536—731no—
897#535—731no—
898#533—731no—
899#533—1461no—
900C2×C4⋊Q8—731no—
901C2×C4⋊Q8—1461no—
902#529—1461no—
903#529—1461no—
904C2×#124—731no—
905#520—731no—
906#520—731no—
907#519—731no—
908#518—731no—
909C4×#41—731no—
910C4×#41—731no—
911#491—731no—
912#491—731no—
913#490—731no—
914#490—731no—
915#489—731no—
916#489—731no—
917#489—731no—
918#489—731no—
919#489—731no—
920#489—731no—
921#489—731no—
922#489—731no—
923#489—731no—
924#489—731no—
925#489C2×D7311yescharacteristic
926#489C2×D7311yescharacteristic
927#488—731no—
928#488—731no—
929#488—731no—
930#488—731no—
931#487—731no—
932#487C2×D7311yescharacteristic, complemented
933#486—731no—
934#486—731no—
935#479—731no—
936#479—731no—
937#479—731no—
938#479—731no—
939#478—731no—
940#478—731no—
941#478—731no—
942#478—731no—
943#477—731no—
944#477—731no—
945#477C2×D7311yescharacteristic, complemented
946#477C2×D7311yescharacteristic, complemented
947#476—731no—
948#476—731no—
949#476—731no—
950#476—731no—
951#475—731no—
952#475—731no—
953#475—731no—
954#475—731no—
955#474—731no—
956#474—731no—
957#474—731no—
958#474C2×D7311yescharacteristic
959#464—731no—
960#464—731no—
961#464—731no—
962#464—731no—
963#464—731no—
964#464—731no—
965#464—731no—
966#464—731no—
967#463—731no—
968#463—731no—
969#463—731no—
970#463—731no—
971#463—731no—
972#463—731no—
973#463C2×D7311yescharacteristic
974#463C2×D7311yescharacteristic
975#462—731no—
976#462—731no—
977#461—731no—
978#461C2×D7311yescharacteristic, complemented
979#460—731no—
980#460—731no—
981#459—731no—
982#459—731no—
983#446—731no—
984#446—731no—
985#446—731no—
986#446—731no—
987#446—731no—
988#446—731no—
989#446—731no—
990#446C2×D7311yescharacteristic, complemented
991#442—731no—
992#442—731no—
993#442—731no—
994#442—731no—
995#441—731no—
996#441—731no—
997#441—731no—
998#441—731no—
999#440—731no—
1000#440—731no—
1001#440—731no—
1002#440—731no—
1003#440—731no—
1004#440—731no—
1005#440C2×D7311yescharacteristic, complemented
1006#440C2×D7311yescharacteristic, complemented
1007C4×Q16—731no—
1008C4×Q16—731no—
1009C4×SD16—731no—
1010C4×SD16—731no—
1011C4×SD16—731no—
1012C4×SD16—731no—
1013C4×D8—731no—
1014C4×D8C2×D7311yescharacteristic
1015#428—731no—
1016#428—731no—
1017#427—731no—
1018#424—731no—
1019#424—731no—
1020#423—731no—
1021#419—731no—
1022#418—731no—
1023#417—731no—
1024#417—731no—
1025#416—731no—
1026#416—731no—
1027C2×#103—731no—
1028C2×#103—731no—
1029C2×#102—731no—
1030C2×#102—731no—
1031#405—731no—
1032#405—731no—
1033C2×#97—731no—
1034C2×#41—731no—
1035C2×#41—731no—
1036C22×Q8—21no—
1037C22×Q8—731no—
1038C22×Q8—1461no—
1039C22×Q8—1461no—
1040C22×D4—731no—
1041#137—1464no—
1042AGL(1,ℤ/8)—1464no—
1043#135—1464no—
1044C2×Q16—731no—
1045C2×Q16—731no—
1046C2×Q16—731no—
1047C2×SD16—731no—
1048C2×SD16—731no—
1049C2×SD16—731no—
1050C2×SD16—731no—
1051C2×SD16C22×D7311yescharacteristic
1052C2×SD16C22×D7311yescharacteristic
1053C2×D8—731no—
1054C2×D8—731no—
1055C2×D8C22×D7311yescharacteristic
1056C2×M16—731no—
1057C2×M16—731no—
1058C22×C8—731no—
1059C22×C8—731no—
1060C4⋊Q8—731no—
1061C4⋊Q8—731no—
1062C4⋊Q8—731no—
1063C4⋊Q8—731no—
1064C4⋊Q8—731no—
1065C4⋊Q8—731no—
1066C4⋊Q8—731no—
1067C4⋊Q8—731no—
1068C4⋊Q8—1461no—
1069C4⋊Q8—1461no—
1070C4⋊Q8—1461no—
1071C4⋊Q8—1461no—
1072C4⋊Q8—1461no—
1073C4⋊Q8—1461no—
1074C4⋊Q8—1461no—
1075C4⋊Q8—1461no—
1076C4⋊Q8—1461no—
1077C4⋊Q8—1461no—
1078C4⋊Q8—1461no—
1079C4⋊Q8—1461no—
1080C4⋊Q8C22×D7311yescharacteristic
1081C4⋊Q8C22×D7311yescharacteristic
1082C4⋊Q8C22×D7311yescharacteristic
1083C4⋊Q8C22×D7311yescharacteristic
1084#127—731no—
1085#127—731no—
1086#126—21no—
1087#126—21no—
1088#126—1461no—
1089#126—1461no—
1090#126—1461no—
1091#126—1461no—
1092#126—1461no—
1093#126—1461no—
1094#125—731no—
1095#125—731no—
1096#125—731no—
1097#125—731no—
1098#125—731no—
1099#125—731no—
1100#125—1461no—
1101#125—1461no—
1102#125—1461no—
1103#125—1461no—
1104#125—1461no—
1105#125—1461no—
1106#124—731no—
1107#124—731no—
1108#124—731no—
1109#124—731no—
1110#124—731no—
1111#124—731no—
1112#124—1461no—
1113#124—1461no—
1114#124—1461no—
1115#124—1461no—
1116#124—1461no—
1117#124—1461no—
1118#124C22×D7311yescharacteristic
1119#124C22×D7311yescharacteristic
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—
1130C22⋊Q8—21no—
1131C22⋊Q8—21no—
1132C22⋊Q8—21no—
1133C22⋊Q8—21no—
1134C22⋊Q8—731no—
1135C22⋊Q8—731no—
1136C22⋊Q8—731no—
1137C22⋊Q8—731no—
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⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8—1461no—
1154C22⋊Q8—1461no—
1155C22⋊Q8—1461no—
1156#121—1461no—
1157#121—1461no—
1158#120—1461no—
1159#120—1461no—
1160C4×Q8—731no—
1161C4×Q8—731no—
1162C4×Q8—731no—
1163C4×Q8—731no—
1164C4×Q8—731no—
1165C4×Q8—731no—
1166C4×Q8—731no—
1167C4×Q8—731no—
1168C4×Q8—731no—
1169C4×Q8—731no—
1170C4×Q8—731no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—1461no—
1174C4×Q8—1461no—
1175C4×Q8—1461no—
1176C4×Q8—1461no—
1177C4×Q8—1461no—
1178C4×Q8—1461no—
1179C4×Q8C22×D7311yescharacteristic
1180C4×Q8C22×D7311yescharacteristic
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—1461no—
1191C4×D4—1461no—
1192C4×D4—1461no—
1193C4×D4—1461no—
1194C4×D4—1461no—
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×D4C22×D7311yescharacteristic
1205C4×D4C22×D7311yescharacteristic
1206C4×D4C22×D7311yescharacteristic
1207C4×D4C22×D7311yescharacteristic
1208#117—21no—
1209#117—731no—
1210#117—731no—
1211#117—731no—
1212#117—731no—
1213#117—1461no—
1214#117—1461no—
1215#117—1461no—
1216#117—1461no—
1217#117—1461no—
1218#117—1461no—
1219#117—1461no—
1220#117—1461no—
1221#117—1461no—
1222C2×C4⋊C4—731no—
1223C2×C4⋊C4—731no—
1224C2×C4⋊C4—1461no—
1225C2×C4⋊C4—1461no—
1226C2×C4⋊C4—1461no—
1227C2×C4⋊C4—1461no—
1228C2×C4⋊C4—1461no—
1229C2×C22⋊C4—1461no—
1230C2×C22⋊C4—1461no—
1231C2×C22⋊C4—1461no—
1232C2×C22⋊C4—1461no—
1233C2×C42—731no—
1234C2×C42—1461no—
1235C2×C42—1461no—
1236#107—731no—
1237#107—731no—
1238#107—731no—
1239#107C22×D7311yescharacteristic
1240#107C22×D7311yescharacteristic
1241#107C22×D7311yescharacteristic
1242#106—731no—
1243#106—731no—
1244#106—731no—
1245#106—731no—
1246#106—731no—
1247#106—731no—
1248C4⋊C8—731no—
1249C4⋊C8—731no—
1250C4⋊C8—731no—
1251C4⋊C8—731no—
1252C4⋊C8—731no—
1253C4⋊C8—731no—
1254C4⋊C8—731no—
1255C4⋊C8—731no—
1256C4⋊C8—731no—
1257C4⋊C8C22×D7311yescharacteristic
1258C4⋊C8C22×D7311yescharacteristic
1259C4⋊C8C22×D7311yescharacteristic
1260#103—731no—
1261#103—731no—
1262#103—731no—
1263#103—731no—
1264#103—731no—
1265#103—731no—
1266#103—731no—
1267#103—731no—
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#103C22×D7311yescharacteristic
1279#103C22×D7311yescharacteristic
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
1300#97—731no—
1301#97—731no—
1302#97—731no—
1303#97—731no—
1304#97—731no—
1305#97—731no—
1306#97C22×D7311yescharacteristic
1307#97C22×D7311yescharacteristic
1308C4×C8—731no—
1309C4×C8—731no—
1310C4×C8—731no—
1311C4×C8C22×D7311yescharacteristic
1312C24—1461no—
1313#41—734no—
1314#41—1462no—
1315#41—1462no—
1316#41—1462no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—21no—
1320C2×Q8—82no—
1321C2×Q8—5842no—
1322C2×Q8—5842no—
1323C2×Q8—731no—
1324C2×Q8—731no—
1325C2×Q8—731no—
1326C2×Q8—731no—
1327C2×Q8—731no—
1328C2×Q8—1461no—
1329C2×Q8—1461no—
1330C2×Q8—1461no—
1331C2×Q8—1461no—
1332C2×Q8—1461no—
1333C2×Q8—1462no—
1334C2×Q8—1462no—
1335C2×Q8—1461no—
1336C2×Q8D4×D7311yescharacteristic
1337C2×Q8C23×D7311yescharacteristic
1338C2×Q8C23×D7311yescharacteristic
1339C2×D4—731no—
1340C2×D4—731no—
1341C2×D4—1461no—
1342C2×D4—1462no—
1343C2×D4—1462no—
1344C2×D4—1461no—
1345C2×D4—1461no—
1346C2×D4—1461no—
1347C2×D4—1461no—
1348C2×D4—1461no—
1349C2×D4—1461no—
1350C2×D4C23×D7311yescharacteristic
1351C2×D4C23×D7311yescharacteristic
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—731no—
1357C22×C4—731no—
1358C22×C4—731no—
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×C4—1461no—
1371C22×C4—1461no—
1372Q16—1462no—
1373Q16—1462no—
1374Q16—1462no—
1375SD16—22no—
1376SD16—22no—
1377SD16—1462no—
1378SD16—1462no—
1379SD16—1462no—
1380SD16—1462no—
1381D8—22no—
1382D8—1462no—
1383D8—1462no—
1384M16—1462no—
1385M16—1462no—
1386C2×C8—731no—
1387C2×C8—731no—
1388C2×C8—731no—
1389C2×C8—731no—
1390C2×C8—1462no—
1391C2×C8—1462no—
1392C2×C8C23×D7311yescharacteristic
1393C2×C8C23×D7311yescharacteristic
1394C2×C8C23×D7311yescharacteristic
1395C2×C8C23×D7311yescharacteristic
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—731no—
1416C4⋊C4—731no—
1417C4⋊C4—731no—
1418C4⋊C4—731no—
1419C4⋊C4—731no—
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⋊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⋊C4D4×D7311yescharacteristic
1448C4⋊C4D4×D7311yescharacteristic
1449C4⋊C4D4×D7311yescharacteristic
1450C4⋊C4C23×D7311yescharacteristic
1451C4⋊C4C23×D7311yescharacteristic
1452C4⋊C4C23×D7311yescharacteristic
1453C4⋊C4C23×D7311yescharacteristic
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—731no—
1463C22⋊C4—731no—
1464C22⋊C4—731no—
1465C22⋊C4—731no—
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⋊C4—1461no—
1487C22⋊C4—1461no—
1488C42—21no—
1489C42—21no—
1490C42—731no—
1491C42—731no—
1492C42—731no—
1493C42—731no—
1494C42—731no—
1495C42—1461no—
1496C42—1461no—
1497C42—1461no—
1498C42—1461no—
1499C42—1461no—
1500C42—1461no—
1501C42—1461no—
1502C42—1461no—
1503C42—1461no—
1504C42—1461no—
1505C42—1461no—
1506C42—1461no—
1507C42C23×D7311yescharacteristic
1508C42C23×D7311yescharacteristic
1509C42C23×D7311yescharacteristic
1510C23—21no—
1511C23—21no—
1512C23—2922no—
1513C23—5841no—
1514C23—5841no—
1515C23—731no—
1516C23—1461no—
1517C23—1461no—
1518Q8—21no—
1519Q8—21no—
1520Q8—21no—
1521Q8—21no—
1522Q8—41no—
1523Q8—42no—
1524Q8—81no—
1525Q8—81no—
1526Q8—2922no—
1527Q8—2921no—
1528Q8—2921no—
1529Q8—2921no—
1530Q8—2922no—
1531Q8—5841no—
1532Q8—5841no—
1533Q8—5841no—
1534Q8—5841no—
1535Q8—732no—
1536Q8—1461no—
1537Q8—1461no—
1538Q8—1461no—
1539D4—21no—
1540D4—21no—
1541D4—21no—
1542D4—2922no—
1543D4—2922no—
1544D4—5841no—
1545D4—5841no—
1546D4—5841no—
1547D4—5841no—
1548D4—1464no—
1549D4—1461no—
1550D4—1461no—
1551D4—1461no—
1552D4—1461no—
1553D4#41×D7312yes—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—42no—
1561C2×C4—81no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—2921no—
1565C2×C4—2921no—
1566C2×C4—2922no—
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—731no—
1579C2×C4—732no—
1580C2×C4—732no—
1581C2×C4—731no—
1582C2×C4—731no—
1583C2×C4—731no—
1584C2×C4—731no—
1585C2×C4—731no—
1586C2×C4—731no—
1587C2×C4—1461no—
1588C2×C4—1461no—
1589C2×C4—1461no—
1590C2×C4—1461no—
1591C2×C4—1461no—
1592C2×C4—1464no—
1593C2×C4—1461no—
1594C2×C4C2×D4×D7311yescharacteristic
1595C2×C4C2×D4×D7311yescharacteristic
1596C2×C4C2×D4×D7311yescharacteristic
1597C2×C4C2×D4×D7311yescharacteristic
1598C2×C4C2×D4×D7311yescharacteristic
1599C2×C4C2×D4×D7311yescharacteristic
1600C2×C4C24×D7311yescharacteristic
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—1461no—
1606C8—1461no—
1607C8—1461no—
1608C8—1461no—
1609C22—22no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—2921no—
1616C22—2921no—
1617C22—2921no—
1618C22—2921no—
1619C22—2921no—
1620C22—2921no—
1621C22—732no—
1622C22—11682no—
1623C22—1461no—
1624C22—1461no—
1625C22C22×D4×D7311yescharacteristic
1626C4—21no—
1627C4—21no—
1628C4—21no—
1629C4—21no—
1630C4—21no—
1631C4—21no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—2921no—
1639C4—2921no—
1640C4—2921no—
1641C4—2921no—
1642C4—2921no—
1643C4—732no—
1644C4—1462no—
1645C4—1461no—
1646C4—1461no—
1647C4—1461no—
1648C4—1461no—
1649C4—1461no—
1650C4—1461no—
1651C4C2×#41×D7311yescharacteristic
1652C42−1+4×D7311yescharacteristic
1653C2—42no—
1654C2—81no—
1655C2—5841no—
1656C2—5841no—
1657C2—1462no—
1658C2#548×D7311yescharacteristic
1659C2#2262470711yescharacteristic
1660C2#2262471611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3367C2
socleC22×C73C23×D4
prime radical#22619471C2
hypercenter#3367D73
hypocenterC73#61336
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3367

Complements

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

NH ≅ G/Ntype
1. #22623821C2semidirect
2. #22623742C2semidirect
3. #22622780C2semidirect
4. #22622767C2semidirect
5. #22622762C2semidirect
6. #22622751C2semidirect
7. #22622748C2semidirect
8. #22622744C2semidirect
9. #22622723C2semidirect
10. #22622718C2semidirect
11. #22622701C2semidirect
12. #22622698C2semidirect
13. #22622685C2semidirect
14. #22622680C2semidirect
15. #22622676C2semidirect
16. #22622668C2semidirect
17. #22622650C2semidirect
18. #22620291C2semidirect
19. #22620282C2semidirect
20. #489×D73C2semidirect
21. #22619768C2semidirect
22. #22619755C2semidirect
23. #22619745C2semidirect
24. #22619476C2semidirect
26. #22619420C2semidirect
27. #22618867C2semidirect
28. #22618771C2semidirect
29. #22618756C2semidirect
30. #22618726C2semidirect
31. C73×#3367C2semidirect
39. #17989317C22semidirect
40. #17989317C22semidirect
41. #17989315C22semidirect
42. #17989312C22semidirect
46. #17989296C22semidirect
47. #17989296C22semidirect
54. D4×Dic146C22semidirect
78. #17988955C22semidirect
79. #17988954C22semidirect
83. #17988949C22semidirect
87. #17988948C22semidirect
93. #17988943C22semidirect
94. #17988942C22semidirect
96. #17988936C22semidirect
99. #17988896C22semidirect
100. #17988895C22semidirect
101. #17988894C22semidirect
102. #17988893C22semidirect
107. #17988882C22semidirect
108. #17988881C22semidirect
109. #17988878C22semidirect
112. #17988874C22semidirect
113. #17988870C22semidirect
114. #17988870C22semidirect
115. #17988870C22semidirect
116. #17988869C22semidirect
118. #17988866C22semidirect
119. #17988866C22semidirect
122. #17988812C22semidirect
124. #17988810C22semidirect
130. #17988804C22semidirect
132. #17988802C22semidirect
134. #17988796C22semidirect
135. #17988794C22semidirect
136. #17988790C22semidirect
141. #17988718C22semidirect
142. #17988717C22semidirect
143. #17988716C22semidirect
144. #17988716C22semidirect
145. #17988715C22semidirect
146. #17988715C22semidirect
147. #17988714C22semidirect
150. #17988697C22semidirect
151. #17988696C22semidirect
152. #17988695C22semidirect
153. #17988692C22semidirect
154. #17988691C22semidirect
155. #17988691C22semidirect
156. #17988689C22semidirect
157. #17988688C22semidirect
160. #17988686C22semidirect
161. #17988684C22semidirect
162. #17988681C22semidirect
163. C4×#11924018C22semidirect
166. SD16×Dic73C22semidirect
167. C4×#11924016C22semidirect
189. D4×Q8×C73C22semidirect
192. #487×C73C22semidirect
193. #477×C73C22semidirect
194. #477×C73C22semidirect
198. #461×C73C22semidirect
199. #446×C73C22semidirect
200. #440×C73C22semidirect
201. #440×C73C22semidirect
848. #3367D73semidirect
862. C73#61336semidirect
889. D4×Q8C2×D73semidirect
932. #487C2×D73semidirect
945. #477C2×D73semidirect
946. #477C2×D73semidirect
978. #461C2×D73semidirect
990. #446C2×D73semidirect
1005. #440C2×D73semidirect
1006. #440C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238212
#226237422
#226227802
#226227672
#226227622
#226227512
#226227482
#226227442
#226227232
#226227182
#226227012
#226226982
#226226852
#226226802
#226226762
#226226682
#226226502
#226202912
#226202822
#489×D732
#226197682
#226197552
#226197452
#226194762
#226194712
#226194202
#226188672
#226187712
#226187562
#226187262
C73×#33672
#6133673