Finite Group Databasebeta

← #33966119

Subgroups — #33966119

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#22623824C211yesmaximal, characteristic, complemented
2#22623749C211yesmaximal, characteristic, complemented
3#22622774C211yesmaximal, characteristic, complemented
4#22622769C211yesmaximal, characteristic, complemented
5#22622760C211yesmaximal, characteristic, complemented
6#22622757C211yesmaximal, characteristic, complemented
7#22622746C211yesmaximal, characteristic, complemented
8#22622728C211yesmaximal, characteristic, complemented
9#22622720C211yesmaximal, characteristic, complemented
10#22622703C211yesmaximal, characteristic, complemented
11#22622692C211yesmaximal, characteristic, complemented
12#22622691C211yesmaximal, characteristic, complemented
13#22622678C211yesmaximal, characteristic, complemented
14#22622671C211yesmaximal, characteristic, complemented
15#22622666C211yesmaximal, characteristic, complemented
16#22622652C211yesmaximal, characteristic, complemented
17#22622648C211yesmaximal, characteristic, complemented
18#22620293C211yesmaximal, characteristic, complemented
19#22620280C211yesmaximal, characteristic, complemented
20#489×D73C211yesmaximal, characteristic, complemented
21#22619768C211yesmaximal, characteristic, complemented
22#22619755C211yesmaximal, characteristic, complemented
23#22619739C211yesmaximal, characteristic, complemented
24#22619484C211yesmaximal, characteristic, complemented
25#22619467C211yesmaximal, characteristic
26#22619422C211yesmaximal, characteristic, complemented
27#22618867C211yesmaximal, characteristic, complemented
28#22618769C211yesmaximal, characteristic, complemented
29#22618762C211yesmaximal, characteristic, complemented
30#22618726C211yesmaximal, characteristic, complemented
31C73×#3375C211yesmaximal, characteristic, complemented
32C2×#14556623C2211yescharacteristic
33C2×#14556618C2211yescharacteristic
34C2×#14556612C2211yescharacteristic
35#17989323C2211yescharacteristic
36#17989320C2211yescharacteristic
37#17989319C2211yescharacteristic
38Q8×Dic146C2211yescharacteristic, complemented
39#17989313C2211yescharacteristic, complemented
40#17989313C2211yescharacteristic, complemented
41#17989310C2211yescharacteristic
42#17989309C2211yescharacteristic
43#17989307C2211yescharacteristic
44#17989306C2211yescharacteristic
45#17989298—21no—
46#17989298C2211yescharacteristic, complemented
47#17989297—21no—
48#17989297C2211yescharacteristic, complemented
49#17989267—21no—
50#17989266—21no—
51#17989265—21no—
52#17989260—21no—
53#17989252—21no—
54#17989252—21no—
55#17989252C2211yescharacteristic, complemented
56#17989252C2211yescharacteristic, complemented
57#17989214—21no—
58#17989214—21no—
59#17989214C2211yescharacteristic
60#17989214C2211yescharacteristic
61#17989205—21no—
62#17989201—21no—
63#17989157C2211yescharacteristic
64#17989150C2211yescharacteristic
65#17989141—21no—
66#17989141C2211yescharacteristic
67C4⋊Q8×D73—21no—
68C4⋊Q8×D73C2211yescharacteristic
69#17989117—21no—
70#17989114—21no—
71#124×D73C2211yescharacteristic
72#17989069C2211yescharacteristic
73#17989069C2211yescharacteristic
74#17989063C2211yescharacteristic
75#17989059C2211yescharacteristic
76C4×#11924029C2211yescharacteristic
77C4×#11924027C2211yescharacteristic
78#17988956C2211yescharacteristic, complemented
79#17988954C2211yescharacteristic, complemented
80#17988951C2211yescharacteristic
81#17988950C2211yescharacteristic
82#17988949C2211yescharacteristic
83#17988949C2211yescharacteristic
84#17988948C2211yescharacteristic
85#17988948C2211yescharacteristic
86#17988947C2211yescharacteristic
87#17988946C2211yescharacteristic
88#17988945C2211yescharacteristic
89#17988945C2211yescharacteristic
90#17988945C2211yescharacteristic
91#17988945C2211yescharacteristic, complemented
92#17988942C2211yescharacteristic
93#17988941C2211yescharacteristic, complemented
94#17988940C2211yescharacteristic
95#17988940C2211yescharacteristic, complemented
96#17988939C2211yescharacteristic, complemented
97#17988936C2211yescharacteristic, complemented
98#17988932C2211yescharacteristic
99#17988896C2211yescharacteristic, complemented
100#17988895C2211yescharacteristic, complemented
101#17988894C2211yescharacteristic, complemented
102#17988893C2211yescharacteristic, complemented
103#17988890C2211yescharacteristic
104#17988888C2211yescharacteristic
105#17988887C2211yescharacteristic
106#17988885C2211yescharacteristic
107#17988881C2211yescharacteristic, complemented
108#17988881C2211yescharacteristic, complemented
109#17988881C2211yescharacteristic, complemented
110#17988875C2211yescharacteristic
111#17988875C2211yescharacteristic, complemented
112#17988875C2211yescharacteristic, complemented
113#17988874C2211yescharacteristic
114#17988873C2211yescharacteristic, complemented
115#17988870C2211yescharacteristic, complemented
116#17988869C2211yescharacteristic, complemented
117#17988869C2211yescharacteristic, complemented
118#17988867C2211yescharacteristic, complemented
119#17988866C2211yescharacteristic
120#17988811C2211yescharacteristic
121#17988809C2211yescharacteristic
122#17988809C2211yescharacteristic
123#17988807C2211yescharacteristic
124#17988807C2211yescharacteristic
125#17988807C2211yescharacteristic, complemented
126#17988805C2211yescharacteristic
127#17988803C2211yescharacteristic
128#17988803C2211yescharacteristic
129#17988801C2211yescharacteristic
130#17988801C2211yescharacteristic
131#17988801C2211yescharacteristic, complemented
132#17988799C2211yescharacteristic
133#17988799C2211yescharacteristic, complemented
134#17988797C2211yescharacteristic, complemented
135#17988795C2211yescharacteristic, complemented
136#17988793C2211yescharacteristic, complemented
137#17988791C2211yescharacteristic, complemented
138#17988785C2211yescharacteristic
139#17988781C2211yescharacteristic
140#17988779C2211yescharacteristic
141#17988718C2211yescharacteristic, complemented
142#17988717C2211yescharacteristic, complemented
143#17988716C2211yescharacteristic, complemented
144#17988716C2211yescharacteristic, complemented
145#17988715C2211yescharacteristic, complemented
146#17988715C2211yescharacteristic, complemented
147#17988714C2211yescharacteristic, complemented
148#17988700C2211yescharacteristic
149#17988697C2211yescharacteristic, complemented
150#17988696C2211yescharacteristic
151#17988696C2211yescharacteristic, complemented
152#17988694C2211yescharacteristic, complemented
153#17988692C2211yescharacteristic, complemented
154#17988692C2211yescharacteristic, complemented
155#17988691C2211yescharacteristic, complemented
156#17988690C2211yescharacteristic
157#17988689C2211yescharacteristic, complemented
158#17988688C2211yescharacteristic, complemented
159#17988686C2211yescharacteristic, complemented
160#17988686C2211yescharacteristic, complemented
161#17988685C2211yescharacteristic, complemented
162#17988679C2211yescharacteristic, complemented
163C4×#11924017C2211yescharacteristic, complemented
164SD16×Dic73C2211yescharacteristic
165C4×#11924015C2211yescharacteristic
166#17988672C2211yescharacteristic, complemented
167#17988669C2211yescharacteristic
168C4×#11924013C2211yescharacteristic
169#17988628C2211yescharacteristic
170#17988628C2211yescharacteristic
171#17988624C2211yescharacteristic
172#17988612C2211yescharacteristic
173#17988612C2211yescharacteristic
174#17988609C2211yescharacteristic
175#17988594C2211yescharacteristic
176#17988590C2211yescharacteristic
177#17988585C2211yescharacteristic
178#17988585C2211yescharacteristic
179#17988582C2211yescharacteristic
180#17988580C2211yescharacteristic
181#103×D73C2211yescharacteristic
182#103×D73C2211yescharacteristic
183#102×D73C2211yescharacteristic
184#102×D73C2211yescharacteristic
185#17988544C2211yescharacteristic
186#17988541C2211yescharacteristic
187#97×D73C2211yescharacteristic
188#559×C73C2211yescharacteristic
189Q82×C73C2211yescharacteristic, complemented
190#489×C73C2211yescharacteristic
191#489×C73C2211yescharacteristic, complemented
192#486×C73C2211yescharacteristic
193#477×C73C2211yescharacteristic, complemented
194#474×C73C2211yescharacteristic
195#474×C73C2211yescharacteristic, complemented
196#464×C73C2211yescharacteristic
197#464×C73C2211yescharacteristic, complemented
198#460×C73C2211yescharacteristic
199#446×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic
201#440×C73C2211yescharacteristic, complemented
202C4×Q16×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924027C2311yescharacteristic
205C2×Q8×D73—21no—
206C2×Q8×D73—21no—
207C2×Q8×D73—21no—
208C2×Q8×D73C2311yescharacteristic
209C2×D4×D73C2311yescharacteristic
210#14556623—24no—
211#14556618—24no—
212#14556612—24no—
213C2×#11924018C2311yescharacteristic
214C2×#11924018C2311yescharacteristic
215C2×#11924017C2311yescharacteristic
216C2×#11924017C2311yescharacteristic
217C2×#11924015C2311yescharacteristic
218C2×#11924015C2311yescharacteristic
219C2×D584C2311yescharacteristic
220C2×#11924013C2311yescharacteristic
221C2×#11924013C2311yescharacteristic
222C2×#11924011C2311yescharacteristic
223C2×#11924011C2311yescharacteristic
224C2×C8×D73C2311yescharacteristic
225C2×C8×D73C2311yescharacteristic
226#14556591—21no—
227#14556591C2311yescharacteristic
228#14556591C2311yescharacteristic
229#14556590—21no—
230#14556590—21no—
231#14556590—21no—
232#14556590—21no—
233#14556590—21no—
234#14556590D411yescharacteristic
235#14556590C2311yescharacteristic
236#14556590C2311yescharacteristic
237#14556590C2311yescharacteristic
238#14556590C2311yescharacteristic
239#14556589—21no—
240#14556589—21no—
241#14556589—21no—
242#14556589D411yescharacteristic
243#14556589C2311yescharacteristic
244#14556587C2311yescharacteristic
245#14556586—21no—
246#14556586—21no—
247#14556586—21no—
248#14556585—21no—
249#14556584—21no—
250#14556584—21no—
251#14556584—21no—
252#14556584—21no—
253#14556583—21no—
254#14556583—21no—
255#14556583C2311yescharacteristic
256#14556583C2311yescharacteristic
257#14556582—21no—
258#14556582—21no—
259#14556582C2311yescharacteristic
260#14556582C2311yescharacteristic
261#14556581—21no—
262#14556581—21no—
263#14556581D411yescharacteristic
264#14556581D411yescharacteristic
265#14556580C2311yescharacteristic
266#14556579C2311yescharacteristic
267#14556579C2311yescharacteristic
268#14556578—21no—
269#14556578C2311yescharacteristic
270#14556578C2311yescharacteristic
271#14556578C2311yescharacteristic
272#14556577—21no—
273#14556577—21no—
274#14556577—21no—
275#14556577—21no—
276#14556575—21no—
277#14556574—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556572—21no—
283#14556572—21no—
284#14556571—21no—
285#14556571D411yescharacteristic
286#14556570—21no—
287#14556569—21no—
288#14556569—21no—
289#14556569—21no—
290#14556569—21no—
291#14556569—21no—
292#14556569—21no—
293#14556569—21no—
294#14556569—21no—
295#14556569—21no—
296#14556569D411yescharacteristic
297#14556569D411yescharacteristic
298#14556568—21no—
299#14556568—21no—
300#14556568—21no—
301#14556567—21no—
302#14556567—21no—
303#14556567—21no—
304#14556567—21no—
305#14556567—21no—
306#14556567—21no—
307#14556567—21no—
308#14556567—21no—
309#14556567D411yescharacteristic
310#14556563—21no—
311#14556563—21no—
312#14556559—21no—
313#14556559—21no—
314Q8×Dic73C2311yescharacteristic
315Q8×Dic73C2311yescharacteristic
316Q8×Dic73C2311yescharacteristic
317Q8×Dic73C2311yescharacteristic
318C4×Dic146—21no—
319C4×Dic146—21no—
320C4×Dic146—21no—
321C4×Dic146—21no—
322C4×Dic146C2311yescharacteristic
323C4×Dic146C2311yescharacteristic
324C4×Dic146C2311yescharacteristic
325C4×Dic146C2311yescharacteristic
326C4×Dic146C2311yescharacteristic
327#14556556—21no—
328#14556556C2311yescharacteristic
329#14556556C2311yescharacteristic
330C4×D292—21no—
331C4×D292—21no—
332C4×D292—21no—
333C4×D292C2311yescharacteristic
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336C4×D292C2311yescharacteristic
337D4×Dic73—21no—
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340#14556553—21no—
341#14556553—21no—
342#14556553—21no—
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556550—21no—
354#14556549—21no—
355#14556549—21no—
356#14556549—21no—
357#14556549C2311yescharacteristic
358#14556549C2311yescharacteristic
359#14556548—21no—
360#14556548—21no—
361#14556548—21no—
362#14556548—21no—
363#14556548C2311yescharacteristic
364#14556548C2311yescharacteristic
365#14556547—21no—
366#14556547—21no—
367C4⋊C4×D73—21no—
368C4⋊C4×D73—21no—
369C4⋊C4×D73—21no—
370C4⋊C4×D73—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#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
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
438C2×Q16×C73C2311yescharacteristic
439C2×SD16×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C4⋊Q8×C73—21no—
442C4⋊Q8×C73—21no—
443C4⋊Q8×C73—21no—
444C4⋊Q8×C73C2311yescharacteristic
445C4⋊Q8×C73C2311yescharacteristic
446C4⋊Q8×C73C2311yescharacteristic
447#127×C73C2311yescharacteristic
448#124×C73—21no—
449#124×C73C2311yescharacteristic
450#124×C73C2311yescharacteristic
451#123×C73—21no—
452#123×C73—21no—
453C4×Q8×C73—21no—
454C4×Q8×C73C2311yescharacteristic
455C4×Q8×C73C2311yescharacteristic
456C4×Q8×C73C2311yescharacteristic
457C4×Q8×C73C2311yescharacteristic
458C4×Q8×C73C2311yescharacteristic
459C4×D4×C73—21no—
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
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#102×C73C2311yescharacteristic
473#102×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#4114yes—
484#11924027—22no—
485#11924027—22no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146C2×D411yescharacteristic
493C2×Dic146C2×D411yescharacteristic
494C2×Dic146C2×D411yescharacteristic
495C2×Dic146C2411yescharacteristic
496C2×Dic146C2411yescharacteristic
497Q8×D73—22no—
498Q8×D73—22no—
499Q8×D73—82no—
500Q8×D73—82no—
501Q8×D73—82no—
502C2×D292—21no—
503C2×D292C2411yescharacteristic
504C2×D292C2411yescharacteristic
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509D4×D73—22no—
510D4×D73—22no—
511C22×Dic73—21no—
512C22×Dic73—21no—
513C22×Dic73—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×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73C2×D411yescharacteristic
527C2×C4×D73C2×D411yescharacteristic
528C2×C4×D73C2411yescharacteristic
529#11924018—22no—
530#11924018—22no—
531#11924017—22no—
532#11924017—22no—
533#11924015—22no—
534#11924015—22no—
535D584—22no—
536#11924013—22no—
537#11924013—22no—
538#11924011—22no—
539#11924011—22no—
540C2×#10596831C2411yescharacteristic
541C2×#10596831C2411yescharacteristic
542C2×#10596831C2411yescharacteristic
543C2×#10596831C2411yescharacteristic
544C8×D73—22no—
545C8×D73—22no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73—21no—
550C4⋊Dic73—21no—
551C4⋊Dic73—21no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73C2×D411yescharacteristic
556C4⋊Dic73C2×D411yescharacteristic
557C4⋊Dic73C2×D411yescharacteristic
558C4⋊Dic73C2411yescharacteristic
559C4⋊Dic73C2411yescharacteristic
560C4⋊Dic73C2411yescharacteristic
561C4⋊Dic73C2411yescharacteristic
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#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
589#11924007C2×D411yescharacteristic
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—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#11924005C2×D411yescharacteristic
615#11924005C2×D411yescharacteristic
616#11924005C2×D411yescharacteristic
617#11924005C2×D411yescharacteristic
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×Dic73—21no—
628C4×Dic73C2×D411yescharacteristic
629C4×Dic73C2×D411yescharacteristic
630C4×Dic73C2411yescharacteristic
631C4×Dic73C2411yescharacteristic
632C4×Dic73C2411yescharacteristic
633C2×Q8×C73—21no—
634C2×Q8×C73—21no—
635C2×Q8×C73—21no—
636C2×Q8×C73C2×D411yescharacteristic
637C2×Q8×C73C2411yescharacteristic
638C2×Q8×C73C2411yescharacteristic
639C2×D4×C73—21no—
640C2×D4×C73—21no—
641C2×D4×C73C2411yescharacteristic
642C2×D4×C73C2411yescharacteristic
643C22×C4×C73—21no—
644C22×C4×C73—21no—
645Q16×C73—22no—
646SD16×C73—22no—
647SD16×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—
672C42×C73—21no—
673C42×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—41no—
691Q8×C73—81no—
692Q8×C73—81no—
693Q8×C73—81no—
694Q8×C73C2×#4112yes—
695D4×C73—21no—
696D4×C73—21no—
697D4×C73—21no—
698D4×C73—21no—
699D4×C73—81no—
700D4×C73—81no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—21no—
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—42no—
717C22⋊D73—42no—
718C22⋊D73—81no—
719C22⋊D73—81no—
720C2×Dic73—21no—
721C2×Dic73—21no—
722C2×Dic73—21no—
723C2×Dic73—21no—
724C2×Dic73—21no—
725C2×Dic73—21no—
726C2×Dic73—42no—
727C2×Dic73—81no—
728C2×Dic73—81no—
729C2×Dic73C22×D411yescharacteristic
730C2×Dic73C22×D411yescharacteristic
731C2×Dic73C22×D411yescharacteristic
732C2×Dic73C22×D411yescharacteristic
733C2×Dic73C22×D411yescharacteristic
734C2×Dic73C22×D411yescharacteristic
735C2×Dic73C22×D411yescharacteristic
736D292—24no—
737D292—21no—
738D292—21no—
739D292—21no—
740D292C2×#4112yes—
741C4×D73—24no—
742C4×D73—41no—
743C4×D73—41no—
744C4×D73—42no—
745C4×D73—42no—
746C4×D73—42no—
747C4×D73—81no—
748C4×D73—81no—
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—21no—
761Dic146—41no—
762Dic146—41no—
763Dic146—41no—
764Dic146—42no—
765Dic146—42no—
766Dic146—42no—
767Dic146—81no—
768Dic146—81no—
769Dic146—81no—
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—41no—
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—22no—
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—22no—
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—41no—
816Dic73—41no—
817Dic73—41no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73#54812yes—
822#61336—731nomaximal, Sylow
823C2×C73—81no—
824C2×C73—81no—
825C2×C73C2×#54811yescharacteristic
826C2×C73#358511yescharacteristic
827C2×C73#358611yescharacteristic
828D73—22no—
829D73—42no—
830D73—81no—
831#3510—731no—
832#3503—731no—
833#3377—731no—
834#3377—731no—
835#3376—731no—
836#3376—731no—
837#3375—731no—
838#3375D7311yescharacteristic, complemented
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#3367—731no—
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#559C2×D7311yescharacteristic
870Q82—731no—
871Q82C2×D7311yescharacteristic, complemented
872#557—731no—
873#557—731no—
874#556—731no—
875#556—731no—
876#556—731no—
877#556—731no—
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—731no—
888D4×Q8—1461no—
889D4×Q8—1461no—
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, complemented
927#488—731no—
928#488—731no—
929#488—731no—
930#488—731no—
931#487—731no—
932#487—731no—
933#486—731no—
934#486C2×D7311yescharacteristic
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#477—731no—
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#474C2×D7311yescharacteristic
958#474C2×D7311yescharacteristic, complemented
959#464—731no—
960#464—731no—
961#464—731no—
962#464—731no—
963#464—731no—
964#464—731no—
965#464C2×D7311yescharacteristic
966#464C2×D7311yescharacteristic, complemented
967#463—731no—
968#463—731no—
969#463—731no—
970#463—731no—
971#463—731no—
972#463—731no—
973#463—731no—
974#463—731no—
975#462—731no—
976#462—731no—
977#461—731no—
978#461—731no—
979#460—731no—
980#460C2×D7311yescharacteristic
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
1006#440C2×D7311yescharacteristic, complemented
1007C4×Q16—731no—
1008C4×Q16C2×D7311yescharacteristic, complemented
1009C4×SD16—731no—
1010C4×SD16—731no—
1011C4×SD16—731no—
1012C4×SD16—731no—
1013C4×D8—731no—
1014C4×D8—731no—
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—731no—
1037C22×Q8—1461no—
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×Q16C22×D7311yescharacteristic
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×D8—731no—
1056C2×M16—731no—
1057C2×M16—731no—
1058C22×C8—731no—
1059C22×C8—731no—
1060C4⋊Q8—21no—
1061C4⋊Q8—21no—
1062C4⋊Q8—21no—
1063C4⋊Q8—731no—
1064C4⋊Q8—731no—
1065C4⋊Q8—731no—
1066C4⋊Q8—731no—
1067C4⋊Q8—731no—
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⋊Q8—1461no—
1077C4⋊Q8—1461no—
1078C4⋊Q8—1461no—
1079C4⋊Q8—1461no—
1080C4⋊Q8—1461no—
1081C4⋊Q8C22×D7311yescharacteristic
1082C4⋊Q8C22×D7311yescharacteristic
1083C4⋊Q8C22×D7311yescharacteristic
1084#127—731no—
1085#127C22×D7311yescharacteristic
1086#126—1461no—
1087#126—1461no—
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—21no—
1107#124—731no—
1108#124—731no—
1109#124—731no—
1110#124—731no—
1111#124—731no—
1112#124—731no—
1113#124—1461no—
1114#124—1461no—
1115#124—1461no—
1116#124—1461no—
1117#124—1461no—
1118#124C22×D7311yescharacteristic
1119#124C22×D7311yescharacteristic
1120#123—21no—
1121#123—21no—
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—731no—
1131C22⋊Q8—731no—
1132C22⋊Q8—731no—
1133C22⋊Q8—731no—
1134C22⋊Q8—1461no—
1135C22⋊Q8—1461no—
1136C22⋊Q8—1461no—
1137C22⋊Q8—1461no—
1138C22⋊Q8—1461no—
1139C22⋊Q8—1461no—
1140C22⋊Q8—1461no—
1141C22⋊Q8—1461no—
1142C22⋊Q8—1461no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
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—21no—
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—1461no—
1173C4×Q8—1461no—
1174C4×Q8—1461no—
1175C4×Q8—1461no—
1176C4×Q8—1461no—
1177C4×Q8C22×D7311yescharacteristic
1178C4×Q8C22×D7311yescharacteristic
1179C4×Q8C22×D7311yescharacteristic
1180C4×Q8C22×D7311yescharacteristic
1181C4×Q8C22×D7311yescharacteristic
1182C4×D4—21no—
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—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×D4—1461no—
1205C4×D4—1461no—
1206C4×D4C22×D7311yescharacteristic
1207C4×D4C22×D7311yescharacteristic
1208#117—731no—
1209#117—731no—
1210#117—731no—
1211#117—731no—
1212#117—1461no—
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#103—731no—
1275#103—731no—
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#102C22×D7311yescharacteristic
1295#102C22×D7311yescharacteristic
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—5842no—
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—21no—
1340C2×D4—21no—
1341C2×D4—731no—
1342C2×D4—731no—
1343C2×D4—1461no—
1344C2×D4—1462no—
1345C2×D4—1462no—
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—731no—
1355C22×C4—731no—
1356C22×C4—731no—
1357C22×C4—1461no—
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×C4—1461no—
1371C22×C4—1461no—
1372Q16—22no—
1373Q16—1462no—
1374Q16—1462no—
1375SD16—22no—
1376SD16—22no—
1377SD16—1462no—
1378SD16—1462no—
1379SD16—1462no—
1380SD16—1462no—
1381D8—1462no—
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—731no—
1461C22⋊C4—731no—
1462C22⋊C4—731no—
1463C22⋊C4—731no—
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⋊C4—1461no—
1487C22⋊C4—1461no—
1488C42—21no—
1489C42—21no—
1490C42—21no—
1491C42—21no—
1492C42—731no—
1493C42—731no—
1494C42—731no—
1495C42—731no—
1496C42—731no—
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—41no—
1522Q8—81no—
1523Q8—81no—
1524Q8—81no—
1525Q8—2921no—
1526Q8—2921no—
1527Q8—2921no—
1528Q8—2922no—
1529Q8—2922no—
1530Q8—2922no—
1531Q8—5841no—
1532Q8—5841no—
1533Q8—5841no—
1534Q8—1461no—
1535Q8—1461no—
1536Q8—1461no—
1537Q8—1461no—
1538Q8#41×D7312yes—
1539D4—21no—
1540D4—21no—
1541D4—21no—
1542D4—21no—
1543D4—81no—
1544D4—81no—
1545D4—2922no—
1546D4—2922no—
1547D4—5841no—
1548D4—5841no—
1549D4—732no—
1550D4—1464no—
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—81no—
1561C2×C4—81no—
1562C2×C4—2922no—
1563C2×C4—2921no—
1564C2×C4—2921no—
1565C2×C4—2922no—
1566C2×C4—2922no—
1567C2×C4—2922no—
1568C2×C4—5841no—
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—1464no—
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×C4C2×D4×D7311yescharacteristic
1600C2×C4C24×D7311yescharacteristic
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—1461no—
1606C8—1461no—
1607C8—1461no—
1608C8—1461no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—2921no—
1616C22—2921no—
1617C22—2921no—
1618C22—2921no—
1619C22—2921no—
1620C22—732no—
1621C22—11682no—
1622C22—1462no—
1623C22—1461no—
1624C22—1461no—
1625C22C22×D4×D7311yescharacteristic
1626C4—22no—
1627C4—21no—
1628C4—21no—
1629C4—21no—
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—2921no—
1639C4—2921no—
1640C4—2921no—
1641C4—2921no—
1642C4—2921no—
1643C4—2921no—
1644C4—732no—
1645C4—1461no—
1646C4—1461no—
1647C4—1461no—
1648C4—1461no—
1649C4—1461no—
1650C4—1461no—
1651C4C2×#41×D7311yescharacteristic
1652C42−1+4×D7311yescharacteristic
1653C2—81no—
1654C2—81no—
1655C2—2922no—
1656C2—5841no—
1657C2—1462no—
1658C2#548×D7311yescharacteristic
1659C2#2262470611yescharacteristic
1660C2#2262471411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3375C2
socleC22×C73C23×D4
prime radical#22619467C2
hypercenter#3375D73
hypocenterC73#61336
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3375

Complements

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

NH ≅ G/Ntype
1. #22623824C2semidirect
2. #22623749C2semidirect
3. #22622774C2semidirect
4. #22622769C2semidirect
5. #22622760C2semidirect
6. #22622757C2semidirect
7. #22622746C2semidirect
8. #22622728C2semidirect
9. #22622720C2semidirect
10. #22622703C2semidirect
11. #22622692C2semidirect
12. #22622691C2semidirect
13. #22622678C2semidirect
14. #22622671C2semidirect
15. #22622666C2semidirect
16. #22622652C2semidirect
17. #22622648C2semidirect
18. #22620293C2semidirect
19. #22620280C2semidirect
20. #489×D73C2semidirect
21. #22619768C2semidirect
22. #22619755C2semidirect
23. #22619739C2semidirect
24. #22619484C2semidirect
26. #22619422C2semidirect
27. #22618867C2semidirect
28. #22618769C2semidirect
29. #22618762C2semidirect
30. #22618726C2semidirect
31. C73×#3375C2semidirect
38. Q8×Dic146C22semidirect
39. #17989313C22semidirect
40. #17989313C22semidirect
46. #17989298C22semidirect
48. #17989297C22semidirect
55. #17989252C22semidirect
56. #17989252C22semidirect
78. #17988956C22semidirect
79. #17988954C22semidirect
91. #17988945C22semidirect
93. #17988941C22semidirect
95. #17988940C22semidirect
96. #17988939C22semidirect
97. #17988936C22semidirect
99. #17988896C22semidirect
100. #17988895C22semidirect
101. #17988894C22semidirect
102. #17988893C22semidirect
107. #17988881C22semidirect
108. #17988881C22semidirect
109. #17988881C22semidirect
111. #17988875C22semidirect
112. #17988875C22semidirect
114. #17988873C22semidirect
115. #17988870C22semidirect
116. #17988869C22semidirect
117. #17988869C22semidirect
118. #17988867C22semidirect
125. #17988807C22semidirect
131. #17988801C22semidirect
133. #17988799C22semidirect
134. #17988797C22semidirect
135. #17988795C22semidirect
136. #17988793C22semidirect
137. #17988791C22semidirect
141. #17988718C22semidirect
142. #17988717C22semidirect
143. #17988716C22semidirect
144. #17988716C22semidirect
145. #17988715C22semidirect
146. #17988715C22semidirect
147. #17988714C22semidirect
149. #17988697C22semidirect
151. #17988696C22semidirect
152. #17988694C22semidirect
153. #17988692C22semidirect
154. #17988692C22semidirect
155. #17988691C22semidirect
157. #17988689C22semidirect
158. #17988688C22semidirect
159. #17988686C22semidirect
160. #17988686C22semidirect
161. #17988685C22semidirect
162. #17988679C22semidirect
163. C4×#11924017C22semidirect
166. #17988672C22semidirect
189. Q82×C73C22semidirect
191. #489×C73C22semidirect
193. #477×C73C22semidirect
195. #474×C73C22semidirect
197. #464×C73C22semidirect
199. #446×C73C22semidirect
201. #440×C73C22semidirect
202. C4×Q16×C73C22semidirect
838. #3375D73semidirect
862. C73#61336semidirect
871. Q82C2×D73semidirect
926. #489C2×D73semidirect
946. #477C2×D73semidirect
958. #474C2×D73semidirect
966. #464C2×D73semidirect
990. #446C2×D73semidirect
1006. #440C2×D73semidirect
1008. C4×Q16C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238242
#226237492
#226227742
#226227692
#226227602
#226227572
#226227462
#226227282
#226227202
#226227032
#226226922
#226226912
#226226782
#226226712
#226226662
#226226522
#226226482
#226202932
#226202802
#489×D732
#226197682
#226197552
#226197392
#226194842
#226194672
#226194222
#226188672
#226187692
#226187622
#226187262
C73×#33752
#6133673