Finite Group Databasebeta

← #33968000

Subgroups — #33968000

Order 18688.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623552C211yesmaximal, characteristic, complemented
2#22623482C211yesmaximal, characteristic, complemented
3#22623007C211yesmaximal, characteristic, complemented
4#22622877C211yesmaximal, characteristic, complemented
5#22622770C211yesmaximal, characteristic, complemented
6#22622751C211yesmaximal, characteristic, complemented
7#22622441C211yesmaximal, characteristic, complemented
8#22622373C211yesmaximal, characteristic, complemented
9#22622302C211yesmaximal, characteristic, complemented
10#22622110C211yesmaximal, characteristic, complemented
11#22622020C211yesmaximal, characteristic, complemented
12#22621982C211yesmaximal, characteristic, complemented
13#22621892C211yesmaximal, characteristic, complemented
14#22621822C211yesmaximal, characteristic, complemented
15#22621770C211yesmaximal, characteristic, complemented
16#22621638C211yesmaximal, characteristic, complemented
17#22621480C211yesmaximal, characteristic, complemented
18#22620653C211yesmaximal, characteristic, complemented
19#22620637C211yesmaximal, characteristic, complemented
20#22620635C211yesmaximal, characteristic, complemented
21#22620097C211yesmaximal, characteristic, complemented
22#22620090C211yesmaximal, characteristic, complemented
23#22620070C211yesmaximal, characteristic, complemented
24#22620056C211yesmaximal, characteristic, complemented
25#22620041C211yesmaximal, characteristic, complemented
26#22620039C211yesmaximal, characteristic, complemented
27#22618941C211yesmaximal, characteristic, complemented
28#137×Dic73C211yesmaximal, characteristic, complemented
29#22618726C211yesmaximal, characteristic, complemented
30C2×#17988688C211yesmaximal, characteristic, complemented
31C73×#3266C211yesmaximal, characteristic, complemented
32C2×#14556612C2211yescharacteristic
33#17989316C2211yescharacteristic, complemented
34#17989311—21no—
35#17989311C2211yescharacteristic, complemented
36#17989306C2211yescharacteristic
37#17989301C2211yescharacteristic
38#17989296C2211yescharacteristic
39#17989280—21no—
40#17989279—21no—
41#17989279—21no—
42#17989279C2211yescharacteristic
43#17989279C2211yescharacteristic
44#17989279C2211yescharacteristic, complemented
45#17989277C2211yescharacteristic
46#17989274—21no—
47#17989268—21no—
48#17989263—21no—
49#17989248C2211yescharacteristic
50#17989248C2211yescharacteristic, complemented
51#17989241—21no—
52#17989241C2211yescharacteristic
53#17989236C2211yescharacteristic
54#17989231C2211yescharacteristic
55#17989142—21no—
56#17989142C2211yescharacteristic, complemented
57#17989139C2211yescharacteristic
58#17989123—21no—
59#17989123—21no—
60#17989123C2211yescharacteristic
61#17989123C2211yescharacteristic, complemented
62#17989118—21no—
63#17989118C2211yescharacteristic
64#17989116C2211yescharacteristic
65#17989114—21no—
66#17989093—21no—
67#41×Dic73C2211yescharacteristic
68C4×#11924029C2211yescharacteristic, complemented
69C4×#11924027—21no—
70C4×#11924027C2211yescharacteristic
71C4×#11924027C2211yescharacteristic
72C2×Q8×Dic73C2211yescharacteristic
73C2×Q8×Dic73C2211yescharacteristic, complemented
74C2×D4×Dic73C2211yescharacteristic
75C2×#14556547—21no—
76#17988996C2211yescharacteristic, complemented
77#17988995C2211yescharacteristic, complemented
78#17988988C2211yescharacteristic, complemented
79#17988980C2211yescharacteristic, complemented
80#17988968C2211yescharacteristic
81#17988955C2211yescharacteristic, complemented
82#17988954C2211yescharacteristic, complemented
83#17988948C2211yescharacteristic, complemented
84#17988946C2211yescharacteristic
85#17988943C2211yescharacteristic, complemented
86#17988940C2211yescharacteristic
87#17988927C2211yescharacteristic, complemented
88#17988927C2211yescharacteristic, complemented
89#17988927C2211yescharacteristic, complemented
90#17988925C2211yescharacteristic, complemented
91#17988923C2211yescharacteristic, complemented
92#17988918C2211yescharacteristic
93#17988915C2211yescharacteristic
94#17988915C2211yescharacteristic
95#17988912C2211yescharacteristic, complemented
96#17988910C2211yescharacteristic
97#17988903C2211yescharacteristic
98#17988901C2211yescharacteristic
99#17988896C2211yescharacteristic, complemented
100#17988896C2211yescharacteristic, complemented
101#17988896C2211yescharacteristic, complemented
102#17988894C2211yescharacteristic, complemented
103#17988889C2211yescharacteristic
104#17988888C2211yescharacteristic, complemented
105#17988885C2211yescharacteristic
106#17988885C2211yescharacteristic
107#17988883C2211yescharacteristic, complemented
108#17988877C2211yescharacteristic
109#17988870C2211yescharacteristic, complemented
110#17988870C2211yescharacteristic, complemented
111#17988843C2211yescharacteristic, complemented
112#17988838C2211yescharacteristic
113#17988833C2211yescharacteristic, complemented
114#17988826C2211yescharacteristic
115#17988825C2211yescharacteristic, complemented
116#17988825C2211yescharacteristic, complemented
117#17988818C2211yescharacteristic
118#17988816C2211yescharacteristic
119#17988813C2211yescharacteristic
120#17988813C2211yescharacteristic
121#17988811C2211yescharacteristic, complemented
122#17988807C2211yescharacteristic
123#17988807C2211yescharacteristic
124#17988804C2211yescharacteristic
125#17988804C2211yescharacteristic
126#17988804C2211yescharacteristic
127#17988799C2211yescharacteristic
128#17988795C2211yescharacteristic, complemented
129#17988795C2211yescharacteristic, complemented
130#17988794C2211yescharacteristic, complemented
131#17988748C2211yescharacteristic, complemented
132#17988746C2211yescharacteristic
133#17988746C2211yescharacteristic
134#17988743C2211yescharacteristic
135#17988743C2211yescharacteristic, complemented
136#17988732C2211yescharacteristic
137#17988731C2211yescharacteristic
138#17988721C2211yescharacteristic
139#17988716C2211yescharacteristic, complemented
140#17988715C2211yescharacteristic, complemented
141#17988697C2211yescharacteristic
142#17988696C2211yescharacteristic
143#17988696C2211yescharacteristic
144#17988694C2211yescharacteristic, complemented
145#17988694C2211yescharacteristic, complemented
146#17988694C2211yescharacteristic, complemented
147#17988692C2211yescharacteristic, complemented
148#17988691C2211yescharacteristic, complemented
149#17988691C2211yescharacteristic, complemented
150#17988691C2211yescharacteristic, complemented
151#17988690C2211yescharacteristic, complemented
152#17988689C2211yescharacteristic, complemented
153#17988688C2211yescharacteristic
154#17988688C2211yescharacteristic
155#17988688C2211yescharacteristic
156#17988688C2211yescharacteristic
157#17988688C2211yescharacteristic
158#17988688C2211yescharacteristic
159#17988688C2211yescharacteristic
160#17988688C2211yescharacteristic
161#17988688C2211yescharacteristic
162#17988688C2211yescharacteristic
163#17988686C2211yescharacteristic, complemented
164Q16×Dic73C2211yescharacteristic, complemented
165Q16×Dic73C2211yescharacteristic, complemented
166SD16×Dic73C2211yescharacteristic
167SD16×Dic73C2211yescharacteristic
168#17988661C2211yescharacteristic, complemented
169#17988659C2211yescharacteristic
170#17988656C2211yescharacteristic, complemented
171C8×C22⋊D73C2211yescharacteristic
172#17988650C2211yescharacteristic
173#17988643C2211yescharacteristic, complemented
174#17988641C2211yescharacteristic
175#17988641C2211yescharacteristic, complemented
176#17988629C2211yescharacteristic, complemented
177#17988624C2211yescharacteristic, complemented
178C2×#14556525C2211yescharacteristic
179#17988596C2211yescharacteristic, complemented
180#17988588C2211yescharacteristic
181#17988582C2211yescharacteristic, complemented
182#17988580C2211yescharacteristic
183C2×#14556515C2211yescharacteristic
184C2×#14556512C2211yescharacteristic
185M16×Dic73C2211yescharacteristic, complemented
186C2×#14556501C2211yescharacteristic
187#97×D73C2211yescharacteristic, complemented
188C2×#137×C73C2211yescharacteristic
189C22×SD16×C73C2211yescharacteristic
190D4×Q8×C73C2211yescharacteristic
191#546×C73C2211yescharacteristic
192#497×C73C2211yescharacteristic
193#468×C73C2211yescharacteristic
194#467×C73C2211yescharacteristic
195#464×C73C2211yescharacteristic
196#461×C73C2211yescharacteristic
197#452×C73C2211yescharacteristic
198#451×C73C2211yescharacteristic
199#450×C73C2211yescharacteristic
200#448×C73C2211yescharacteristic
201#440×C73C2211yescharacteristic
202#435×C73C2211yescharacteristic
203C2×#11924029C2311yescharacteristic
204C2×#11924027—21no—
205C2×#11924027D411yescharacteristic
206C2×#11924027C2311yescharacteristic
207C23×Dic73—21no—
208#14556612—24no—
209C2×#11924018C2311yescharacteristic
210C2×#11924018C2311yescharacteristic
211C2×#11924018C2311yescharacteristic
212C2×#11924017C2311yescharacteristic
213C2×#11924015C2311yescharacteristic
214C2×#11924013C2311yescharacteristic
215C2×#11924013C2311yescharacteristic
216C2×#11924012C2311yescharacteristic
217C22×#10596831C2311yescharacteristic
218C2×C8×D73C2311yescharacteristic
219C2×C8×D73C2311yescharacteristic
220#14556591—21no—
221#14556591C2311yescharacteristic
222#14556590C2311yescharacteristic
223#14556589C2311yescharacteristic
224#14556586—21no—
225#14556586—21no—
226#14556586—21no—
227#14556586—21no—
228#14556586—21no—
229#14556586—21no—
230#14556586—21no—
231#14556584—21no—
232#14556584—21no—
233#14556584—21no—
234#14556584—21no—
235#14556584—21no—
236#14556583C2311yescharacteristic
237#14556582—21no—
238#14556582—21no—
239#14556582—21no—
240#14556582—21no—
241#14556582—21no—
242#14556582—21no—
243#14556582C2311yescharacteristic
244#14556582C2311yescharacteristic
245#14556582C2311yescharacteristic
246#14556581—21no—
247#14556581—21no—
248#14556580—21no—
249#14556580—21no—
250#14556580C2311yescharacteristic
251#14556580C2311yescharacteristic
252#14556578—21no—
253#14556578C2311yescharacteristic
254#14556577—21no—
255#14556575—21no—
256#14556575—21no—
257#14556575—21no—
258#14556575—21no—
259#14556575—21no—
260#14556575—21no—
261#14556575—21no—
262#14556574—21no—
263#14556573—21no—
264#14556572—21no—
265#14556572—21no—
266#14556572—21no—
267#14556572—21no—
268#14556571—21no—
269#14556571—21no—
270#14556571—21no—
271#14556570—21no—
272#14556570C2311yescharacteristic
273#14556570C2311yescharacteristic
274#14556568—21no—
275#14556568—21no—
276#14556568—21no—
277#14556568—21no—
278#14556567—21no—
279#14556567—21no—
280#14556567C2311yescharacteristic
281#14556567C2311yescharacteristic
282#14556567C2311yescharacteristic
283#14556565—21no—
284#14556565—21no—
285#14556565C2311yescharacteristic
286#14556565C2311yescharacteristic
287#14556563—21no—
288#14556563—21no—
289#14556563—21no—
290#14556562C2311yescharacteristic
291#14556560—21no—
292Q8×Dic73—21no—
293Q8×Dic73—21no—
294Q8×Dic73—21no—
295Q8×Dic73—21no—
296Q8×Dic73C2311yescharacteristic
297Q8×Dic73C2311yescharacteristic
298Q8×Dic73C2311yescharacteristic
299Q8×Dic73C2311yescharacteristic
300Q8×Dic73C2311yescharacteristic
301Q8×Dic73C2311yescharacteristic
302Q8×Dic73C2311yescharacteristic
303Q8×Dic73C2311yescharacteristic
304Q8×Dic73C2311yescharacteristic
305C4×Dic146—21no—
306C4×Dic146C2311yescharacteristic
307C4×Dic146C2311yescharacteristic
308#14556556—21no—
309#14556556—21no—
310#14556556D411yescharacteristic
311#14556556C2311yescharacteristic
312C4×D292—21no—
313C4×D292C2311yescharacteristic
314D4×Dic73—21no—
315D4×Dic73—21no—
316D4×Dic73—21no—
317D4×Dic73—21no—
318D4×Dic73—21no—
319D4×Dic73D411yescharacteristic
320D4×Dic73C2311yescharacteristic
321D4×Dic73C2311yescharacteristic
322D4×Dic73C2311yescharacteristic
323D4×Dic73C2311yescharacteristic
324D4×Dic73C2311yescharacteristic
325#14556553—21no—
326#14556553C2311yescharacteristic
327C4×C22⋊D73—21no—
328C4×C22⋊D73—21no—
329C4×C22⋊D73—21no—
330C4×C22⋊D73C2311yescharacteristic
331C4×C22⋊D73C2311yescharacteristic
332#14556551—21no—
333#14556551—21no—
334#14556551—21no—
335#14556551—21no—
336#14556551D411yescharacteristic
337#14556551D411yescharacteristic
338#14556550—21no—
339#14556550C2311yescharacteristic
340#14556549—21no—
341#14556549—21no—
342#14556549—21no—
343#14556549—21no—
344#14556549—21no—
345#14556549D411yescharacteristic
346#14556549C2311yescharacteristic
347#14556549C2311yescharacteristic
348#14556547—21no—
349#14556547—21no—
350#14556547—21no—
351#14556547—21no—
352#14556547—21no—
353#14556547—21no—
354#14556547—21no—
355#14556547—21no—
356#14556547—21no—
357#14556547—21no—
358#14556547D411yescharacteristic
359#14556547D411yescharacteristic
360C2×C4⋊Dic73—21no—
361C2×C4⋊Dic73—21no—
362C2×C4⋊Dic73C2311yescharacteristic
363C2×C4⋊Dic73C2311yescharacteristic
364C2×C4⋊Dic73C2311yescharacteristic
365C2×#11924007—21no—
366C2×#11924007—21no—
367C2×C22⋊Dic73—21no—
368C2×C22⋊Dic73—21no—
369C2×C4×Dic73—21no—
370C2×C4×Dic73—21no—
371C2×C4×Dic73—21no—
372C2×C4×Dic73—21no—
373C2×C4×Dic73C2311yescharacteristic
374C2×C4×Dic73C2311yescharacteristic
375C42×D73—21no—
376C42×D73C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556525C2311yescharacteristic
379#14556525C2311yescharacteristic
380#14556525C2311yescharacteristic
381#14556525C2311yescharacteristic
382#14556525C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556523C2311yescharacteristic
386#14556523C2311yescharacteristic
387#14556522C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392C4⋊#10596831C2311yescharacteristic
393#14556520C2311yescharacteristic
394#14556520C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556516C2311yescharacteristic
398#14556516C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556515C2311yescharacteristic
401#14556515C2311yescharacteristic
402#14556515C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556511C2311yescharacteristic
423C22⋊#10596831C2311yescharacteristic
424C22⋊#10596831C2311yescharacteristic
425#14556503C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556502C2311yescharacteristic
428#14556501C2311yescharacteristic
429#14556501C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C2×#41×C73C2311yescharacteristic
437C22×Q8×C73C2311yescharacteristic
438C22×Q8×C73C2311yescharacteristic
439C22×D4×C73C2311yescharacteristic
440#137×C73—24no—
441C2×Q16×C73C2311yescharacteristic
442C2×Q16×C73C2311yescharacteristic
443C2×Q16×C73C2311yescharacteristic
444C2×SD16×C73—24no—
445C2×SD16×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×M16×C73C2311yescharacteristic
452C22×C8×C73C2311yescharacteristic
453C4⋊Q8×C73—21no—
454C4⋊Q8×C73C2311yescharacteristic
455#124×C73C2311yescharacteristic
456#123×C73—21no—
457C22⋊Q8×C73—21no—
458C22⋊Q8×C73—21no—
459C22⋊Q8×C73C2311yescharacteristic
460C22⋊Q8×C73C2311yescharacteristic
461C22⋊Q8×C73C2311yescharacteristic
462#121×C73—21no—
463#121×C73C2311yescharacteristic
464#120×C73—21no—
465C4×Q8×C73C2311yescharacteristic
466C4×D4×C73—21no—
467C4×D4×C73C2311yescharacteristic
468C4×D4×C73C2311yescharacteristic
469C2×C22⋊C4×C73—21no—
470#107×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481#11924029—22no—
482#11924029—41no—
483#11924027—22no—
484#11924027—41no—
485#11924027—42no—
486#11924027—44no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146C2×D411yescharacteristic
490C2×Dic146C2411yescharacteristic
491C2×D292—21no—
492C2×D292C2411yescharacteristic
493C2×C22⋊D73—21no—
494C2×C22⋊D73—21no—
495C2×C22⋊D73—21no—
496C2×C22⋊D73—21no—
497C2×C22⋊D73C2×D411yescharacteristic
498C2×C22⋊D73C2×D411yescharacteristic
499C22×Dic73—21no—
500C22×Dic73—21no—
501C22×Dic73—21no—
502C22×Dic73—21no—
503C22×Dic73—21no—
504C22×Dic73—21no—
505C22×Dic73—21no—
506C22×Dic73—21no—
507C22×Dic73—21no—
508C22×Dic73—44no—
509C22×Dic73C2×D411yescharacteristic
510C22×Dic73C2×D411yescharacteristic
511C22×Dic73C2×D411yescharacteristic
512C22×Dic73C2×D411yescharacteristic
513C2×C4×D73—21no—
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73C2×D411yescharacteristic
517C2×C4×D73C2×D411yescharacteristic
518C2×C4×D73C2411yescharacteristic
519#11924018—22no—
520#11924018—41no—
521#11924018—41no—
522#11924017—22no—
523#11924015—41no—
524#11924013—22no—
525#11924013—41no—
526#11924012—41no—
527C2×#10596831—41no—
528C2×#10596831C2411yescharacteristic
529C2×#10596831C2411yescharacteristic
530C2×#10596831C2411yescharacteristic
531C2×#10596831C2411yescharacteristic
532C8×D73—22no—
533C8×D73—41no—
534C4⋊Dic73—21no—
535C4⋊Dic73—21no—
536C4⋊Dic73—21no—
537C4⋊Dic73—21no—
538C4⋊Dic73—21no—
539C4⋊Dic73—21no—
540C4⋊Dic73—21no—
541C4⋊Dic73—21no—
542C4⋊Dic73—21no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73—21no—
550C4⋊Dic73C2×D411yescharacteristic
551C4⋊Dic73C2411yescharacteristic
552C4⋊Dic73C2411yescharacteristic
553C4⋊Dic73C2411yescharacteristic
554C4⋊Dic73C2411yescharacteristic
555C4⋊Dic73C2411yescharacteristic
556C4⋊Dic73C2411yescharacteristic
557#11924007—21no—
558#11924007—21no—
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007C2×D411yescharacteristic
573#11924007C2×D411yescharacteristic
574#11924007C2×D411yescharacteristic
575#11924007C2×D411yescharacteristic
576C22⋊Dic73—21no—
577C22⋊Dic73—21no—
578C22⋊Dic73—21no—
579C22⋊Dic73—21no—
580C22⋊Dic73—21no—
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
583C22⋊Dic73—21no—
584C22⋊Dic73—21no—
585C22⋊Dic73—21no—
586C22⋊Dic73—21no—
587C22⋊Dic73C2×D411yescharacteristic
588C22⋊Dic73C2×D411yescharacteristic
589#11924005—21no—
590#11924005—21no—
591#11924005—21no—
592#11924005—21no—
593#11924005—21no—
594#11924005—21no—
595#11924005—21no—
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005C2×D411yescharacteristic
603#11924005C2×D411yescharacteristic
604C4×Dic73—21no—
605C4×Dic73—21no—
606C4×Dic73—21no—
607C4×Dic73—21no—
608C4×Dic73—21no—
609C4×Dic73—21no—
610C4×Dic73—21no—
611C4×Dic73—21no—
612C4×Dic73—21no—
613C4×Dic73—21no—
614C4×Dic73—21no—
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73C2×D411yescharacteristic
619C4×Dic73C2×D411yescharacteristic
620C4×Dic73C2×D411yescharacteristic
621C4×Dic73C2×D411yescharacteristic
622C4×Dic73C2×D411yescharacteristic
623C4×Dic73C2×D411yescharacteristic
624C4×Dic73C2411yescharacteristic
625C4×Dic73C2411yescharacteristic
626C4×Dic73C2411yescharacteristic
627C24×C73—21no—
628#41×C73—22no—
629#41×C73—41no—
630C2×Q8×C73—21no—
631C2×Q8×C73—21no—
632C2×Q8×C73—22no—
633C2×Q8×C73—22no—
634C2×Q8×C73—41no—
635C2×Q8×C73—41no—
636C2×Q8×C73C2411yescharacteristic
637C2×Q8×C73C2411yescharacteristic
638C2×Q8×C73C2411yescharacteristic
639C2×Q8×C73C2411yescharacteristic
640C2×D4×C73—22no—
641C2×D4×C73—21no—
642C2×D4×C73—21no—
643C2×D4×C73—21no—
644C2×D4×C73—41no—
645C2×D4×C73C2×D411yescharacteristic
646C2×D4×C73C2411yescharacteristic
647C2×D4×C73C2411yescharacteristic
648C22×C4×C73—21no—
649C22×C4×C73—21no—
650C22×C4×C73—21no—
651C22×C4×C73—21no—
652C22×C4×C73C2411yescharacteristic
653C22×C4×C73C2411yescharacteristic
654Q16×C73—22no—
655Q16×C73—22no—
656Q16×C73—41no—
657SD16×C73—22no—
658SD16×C73—22no—
659SD16×C73—22no—
660SD16×C73—22no—
661SD16×C73—41no—
662SD16×C73#4114yescomplemented
663M16×C73—22no—
664C2×C8×C73—22no—
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C2×C8×C73C2411yescharacteristic
668C2×C8×C73C2411yescharacteristic
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73—21no—
675C4⋊C4×C73C2×D411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73C2×D411yescharacteristic
686C22⋊C4×C73C2×D411yescharacteristic
687C42×C73—21no—
688C42×C73C2411yescharacteristic
689C23×C73—21no—
690C23×C73—21no—
691C23×C73—42no—
692C23×C73—42no—
693C23×C73—81no—
694C23×C73C22×D411yescharacteristic
695C23×C73C22×D411yescharacteristic
696C22×D73—21no—
697C22×D73C22×D411yescharacteristic
698Q8×C73—21no—
699Q8×C73—21no—
700Q8×C73—21no—
701Q8×C73—21no—
702Q8×C73—21no—
703Q8×C73—21no—
704Q8×C73—21no—
705Q8×C73—42no—
706Q8×C73—42no—
707Q8×C73C2×#4112yes—
708D4×C73—22no—
709D4×C73—21no—
710D4×C73—21no—
711D4×C73—21no—
712D4×C73—42no—
713D4×C73—42no—
714D4×C73—81no—
715D4×C73C2×#4112yes—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—42no—
727C2×C4×C73—42no—
728C2×C4×C73—42no—
729C2×C4×C73—81no—
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C2511yescharacteristic
735C22⋊D73—22no—
736C22⋊D73—41no—
737C22⋊D73—42no—
738C22⋊D73—42no—
739C22⋊D73—42no—
740C22⋊D73—81no—
741C2×Dic73—22no—
742C2×Dic73—21no—
743C2×Dic73—21no—
744C2×Dic73—21no—
745C2×Dic73—21no—
746C2×Dic73—21no—
747C2×Dic73—21no—
748C2×Dic73—21no—
749C2×Dic73—41no—
750C2×Dic73—41no—
751C2×Dic73—41no—
752C2×Dic73—42no—
753C2×Dic73—42no—
754C2×Dic73—42no—
755C2×Dic73—42no—
756C2×Dic73—42no—
757C2×Dic73—42no—
758C2×Dic73—42no—
759C2×Dic73—42no—
760C2×Dic73—81no—
761C2×Dic73C22×D411yescharacteristic
762C2×Dic73C22×D411yescharacteristic
763C2×Dic73C22×D411yescharacteristic
764C2×Dic73C22×D411yescharacteristic
765C2×Dic73C22×D411yescharacteristic
766C2×Dic73C22×D411yescharacteristic
767C2×Dic73C22×D411yescharacteristic
768D292—21no—
769D292—21no—
770D292—42no—
771C4×D73—21no—
772C4×D73—21no—
773C4×D73—41no—
774C4×D73—41no—
775C4×D73—42no—
776C4×D73—42no—
777C4×D73—42no—
778Dic146—21no—
779Dic146—21no—
780Dic146—41no—
781Dic146—42no—
782Dic146—81no—
783C8×C73—21no—
784C8×C73—21no—
785C8×C73—21no—
786C8×C73C2×#4112yes—
787#10596831—21no—
788#10596831—21no—
789#10596831—21no—
790#10596831—21no—
791C22×C73—21no—
792C22×C73—21no—
793C22×C73—21no—
794C22×C73—22no—
795C22×C73—21no—
796C22×C73—21no—
797C22×C73—41no—
798C22×C73—41no—
799C22×C73—41no—
800C22×C73—41no—
801C22×C73—41no—
802C22×C73—84no—
803C22×C73#57512yes—
804C22×C73C23×D411yescharacteristic
805C2×D73—21no—
806C2×D73—21no—
807C2×D73—21no—
808C2×D73—41no—
809C2×D73—41no—
810C2×D73—41no—
811C4×C73—21no—
812C4×C73—22no—
813C4×C73—21no—
814C4×C73—21no—
815C4×C73—21no—
816C4×C73—41no—
817C4×C73—41no—
818C4×C73—41no—
819C4×C73—41no—
820C4×C73—41no—
821C4×C73C22×#4111yescharacteristic
822C4×C73#58511yescharacteristic
823Dic73—21no—
824Dic73—21no—
825Dic73—21no—
826Dic73—21no—
827Dic73—21no—
828Dic73—21no—
829Dic73—21no—
830Dic73—41no—
831Dic73—41no—
832Dic73—41no—
833Dic73—41no—
834Dic73—41no—
835Dic73—41no—
836Dic73—41no—
837#61455—731nomaximal, Sylow
838C2×C73—22no—
839C2×C73—41no—
840C2×C73—42no—
841C2×C73—81no—
842C2×C73D4×#4111yescharacteristic
843C2×C73C2×#57511yescharacteristic
844C2×C73#358611yescharacteristic
845D73—41no—
846D73—81no—
847#3482—731no—
848#3475—731no—
849#3402—731no—
850#3388—731no—
851#3377—731no—
852#3376—731no—
853#3348—731no—
854#3343—731no—
855#3336—731no—
856#3321—731no—
857#3315—731no—
858#3312—731no—
859#3306—731no—
860#3300—731no—
861#3296—731no—
862#3282—731no—
863#3269—731no—
864#3266D7311yescharacteristic, complemented
865#3183—731no—
866#3181—731no—
867#3181—731no—
868#3117—731no—
869#3116—731no—
870#3114—731no—
871#3113—731no—
872#3111—731no—
873#3111—731no—
874#2970—731no—
875C4×#137—731no—
876#2943—731no—
877C2×#440—731no—
878C73#6145511yescharacteristic, complemented, Sylow
879C2×#137C2×D7311yescharacteristic
880C2×#135—731no—
881C22×SD16C2×D7311yescharacteristic
882#557—731no—
883#556—731no—
884#556—731no—
885#556—1461no—
886#555—731no—
887#554—731no—
888#553—1461no—
889#552—731no—
890#552—731no—
891#552—731no—
892#552—731no—
893#552—1461no—
894#552—1461no—
895#552—1461no—
896#551—1461no—
897#551—1461no—
898D4×Q8C2×D7311yescharacteristic
899#548—731no—
900#548—731no—
901#547—731no—
902#547—731no—
903#547—1461no—
904#546—731no—
905#546C2×D7311yescharacteristic
906#533—731no—
907#533—731no—
908#533—1461no—
909#529—731no—
910#529—731no—
911#529—731no—
912#529—731no—
913#529—1461no—
914#529—1461no—
915#529—1461no—
916#529—1461no—
917#525—1461no—
918C4×#41—731no—
919C4×#41—731no—
920C4×#41—731no—
921C4×#41—731no—
922C4×#41—1461no—
923C2×C4×Q8—731no—
924C2×C4×Q8—731no—
925C2×C4×D4—731no—
926C2×#117—1461no—
927#501—731no—
928#501—731no—
929#499—731no—
930#497—731no—
931#497C2×D7311yescharacteristic
932#495—731no—
933#491—731no—
934#491—731no—
935#489—731no—
936#489—731no—
937#488—731no—
938#488—731no—
939#485—731no—
940#485—731no—
941#485—731no—
942#485—731no—
943#484—731no—
944#483—731no—
945#483—731no—
946#483—731no—
947#482—731no—
948#482—731no—
949#481—731no—
950#480—731no—
951#479—731no—
952#479—731no—
953#479—731no—
954#479—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478—731no—
959#477—731no—
960#476—731no—
961#475—731no—
962#475—731no—
963#470—731no—
964#469—731no—
965#468—731no—
966#468C2×D7311yescharacteristic
967#467—731no—
968#467—731no—
969#467—731no—
970#467C2×D7311yescharacteristic
971#465—731no—
972#465—731no—
973#465—731no—
974#465—731no—
975#464—731no—
976#464—731no—
977#464—731no—
978#464C2×D7311yescharacteristic
979#463—731no—
980#463—731no—
981#463—731no—
982#463—731no—
983#462—731no—
984#462—731no—
985#462—731no—
986#461C2×D7311yescharacteristic
987#452—731no—
988#452—731no—
989#452—731no—
990#452C2×D7311yescharacteristic
991#451—731no—
992#451—731no—
993#451C2×D7311yescharacteristic
994#450C2×D7311yescharacteristic
995#449—731no—
996#449—731no—
997#448C2×D7311yescharacteristic
998#447—731no—
999#446—731no—
1000#446—731no—
1001#442—731no—
1002#442—731no—
1003#442—731no—
1004#441—731no—
1005#441—731no—
1006#441—731no—
1007#441—731no—
1008#441—731no—
1009#441—731no—
1010#441—731no—
1011#440—731no—
1012#440—731no—
1013#440—731no—
1014#440—731no—
1015#440—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022#440—731no—
1023#440—731no—
1024#440C2×D7311yescharacteristic
1025C4×Q16—731no—
1026C4×Q16—731no—
1027C4×SD16—731no—
1028C4×SD16—731no—
1029#435—731no—
1030#435—731no—
1031#435—731no—
1032#435C2×D7311yescharacteristic
1033C8×D4—731no—
1034C8×D4—731no—
1035#432—731no—
1036#432—731no—
1037#432—731no—
1038#428—731no—
1039#427—731no—
1040C2×#107—731no—
1041#419—731no—
1042#417—731no—
1043#416—731no—
1044#416—731no—
1045C2×#103—731no—
1046C2×#102—731no—
1047C4×M16—731no—
1048C2×#97—731no—
1049C2×#97—731no—
1050C2×#41—731no—
1051C2×#41—731no—
1052C2×#41—731no—
1053C2×#41—1461no—
1054C2×#41C22×D7311yescharacteristic
1055C22×Q8C22×D7311yescharacteristic
1056C22×Q8C22×D7311yescharacteristic
1057C22×D4C22×D7311yescharacteristic
1058C23×C4—1461no—
1059#137—24no—
1060#135—1464no—
1061C2×Q16—731no—
1062C2×Q16—731no—
1063C2×Q16—731no—
1064C2×Q16C22×D7311yescharacteristic
1065C2×Q16C22×D7311yescharacteristic
1066C2×Q16C22×D7311yescharacteristic
1067C2×SD16—24no—
1068C2×SD16—731no—
1069C2×SD16—731no—
1070C2×SD16C22×D7311yescharacteristic
1071C2×SD16C22×D7311yescharacteristic
1072C2×SD16C22×D7311yescharacteristic
1073C2×SD16C22×D7311yescharacteristic
1074C2×SD16C22×D7311yescharacteristic
1075C2×SD16C22×D7311yescharacteristic
1076C2×D8—731no—
1077C2×D8—731no—
1078C2×M16—731no—
1079C2×M16C22×D7311yescharacteristic
1080C22×C8—731no—
1081C22×C8—731no—
1082C22×C8—731no—
1083C22×C8C22×D7311yescharacteristic
1084C4⋊Q8—21no—
1085C4⋊Q8—731no—
1086C4⋊Q8—731no—
1087C4⋊Q8—731no—
1088C4⋊Q8—1461no—
1089C4⋊Q8C22×D7311yescharacteristic
1090#126—1461no—
1091#126—1461no—
1092#126—1461no—
1093#126—1461no—
1094#126—1461no—
1095#126—1461no—
1096#126—1461no—
1097#126—1461no—
1098#126—1461no—
1099#126—1461no—
1100#126—1461no—
1101#126—1461no—
1102#125—731no—
1103#125—731no—
1104#125—731no—
1105#125—731no—
1106#125—1461no—
1107#125—1461no—
1108#125—1461no—
1109#125—1461no—
1110#125—1461no—
1111#125—1461no—
1112#125—1461no—
1113#125—1461no—
1114#124—731no—
1115#124—731no—
1116#124—731no—
1117#124—1461no—
1118#124—1461no—
1119#124—1461no—
1120#124—1461no—
1121#124C22×D7311yescharacteristic
1122#123—21no—
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—731no—
1139C22⋊Q8—731no—
1140C22⋊Q8—731no—
1141C22⋊Q8—731no—
1142C22⋊Q8—731no—
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⋊Q8C22×D7311yescharacteristic
1154C22⋊Q8C22×D7311yescharacteristic
1155C22⋊Q8C22×D7311yescharacteristic
1156#121—21no—
1157#121—731no—
1158#121—731no—
1159#121—731no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121C22×D7311yescharacteristic
1166#120—21no—
1167#120—1461no—
1168C4×Q8—731no—
1169C4×Q8—731no—
1170C4×Q8—731no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—731no—
1177C4×Q8—731no—
1178C4×Q8—731no—
1179C4×Q8—731no—
1180C4×Q8—731no—
1181C4×Q8—1461no—
1182C4×Q8—1461no—
1183C4×Q8—1461no—
1184C4×Q8—1461no—
1185C4×Q8—1461no—
1186C4×Q8—1461no—
1187C4×Q8—1461no—
1188C4×Q8C22×D7311yescharacteristic
1189C4×D4—21no—
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
1217C4×D4C22×D7311yescharacteristic
1218#117—731no—
1219#117—731no—
1220#117—731no—
1221#117—731no—
1222#117—731no—
1223#117—731no—
1224#117—1461no—
1225#117—1461no—
1226#117—1461no—
1227#117—1461no—
1228#117—1461no—
1229#117—1461no—
1230#117—1461no—
1231#117—1461no—
1232#117—1461no—
1233#117—1461no—
1234#117—1461no—
1235#117—1461no—
1236#117—1461no—
1237#117—1461no—
1238#117—1461no—
1239#117—1461no—
1240C2×C4⋊C4—731no—
1241C2×C4⋊C4—731no—
1242C2×C4⋊C4—731no—
1243C2×C4⋊C4—1461no—
1244C2×C4⋊C4—1461no—
1245C2×C4⋊C4—1461no—
1246C2×C4⋊C4—1461no—
1247C2×C22⋊C4—21no—
1248C2×C22⋊C4—1461no—
1249C2×C22⋊C4—1461no—
1250C2×C42—731no—
1251C2×C42—731no—
1252C2×C42—731no—
1253C2×C42—1461no—
1254C2×C42—1461no—
1255C2×C42—1461no—
1256C2×C42—1461no—
1257C2×C42—1461no—
1258#107—731no—
1259#107—731no—
1260#107—731no—
1261#107—731no—
1262#107—731no—
1263#107—731no—
1264#107—731no—
1265#107C22×D7311yescharacteristic
1266#106—731no—
1267#106—731no—
1268#106—731no—
1269#106—731no—
1270#106—731no—
1271#106—731no—
1272#106—731no—
1273#106—731no—
1274C4⋊C8—731no—
1275C4⋊C8—731no—
1276C4⋊C8—731no—
1277C4⋊C8—731no—
1278C4⋊C8—731no—
1279C4⋊C8C22×D7311yescharacteristic
1280#103—731no—
1281#103—731no—
1282#103—731no—
1283#103—731no—
1284#103—731no—
1285#103—731no—
1286#103—731no—
1287#103—731no—
1288#103—731no—
1289#103—731no—
1290#103—731no—
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103C22×D7311yescharacteristic
1297#103C22×D7311yescharacteristic
1298#103C22×D7311yescharacteristic
1299#103C22×D7311yescharacteristic
1300#102—731no—
1301#102—731no—
1302#102—731no—
1303#102—731no—
1304#102—731no—
1305#102—731no—
1306#102—731no—
1307#102—731no—
1308#102—731no—
1309#102—731no—
1310#102C22×D7311yescharacteristic
1311#102C22×D7311yescharacteristic
1312C22⋊C8—731no—
1313C22⋊C8—731no—
1314C22⋊C8—731no—
1315C22⋊C8—731no—
1316C22⋊C8C22×D7311yescharacteristic
1317C22⋊C8C22×D7311yescharacteristic
1318#97—731no—
1319#97—731no—
1320#97—731no—
1321#97—731no—
1322#97—731no—
1323#97—731no—
1324#97—731no—
1325#97C22×D7311yescharacteristic
1326C4×C8—731no—
1327C4×C8—731no—
1328C24—21no—
1329#41—22no—
1330#41—41no—
1331#41—2924no—
1332#41—2921no—
1333#41—2922no—
1334#41—2921no—
1335#41—1462no—
1336#41—1462no—
1337C2×Q8—21no—
1338C2×Q8—21no—
1339C2×Q8—22no—
1340C2×Q8—22no—
1341C2×Q8—41no—
1342C2×Q8—41no—
1343C2×Q8—731no—
1344C2×Q8—731no—
1345C2×Q8—1461no—
1346C2×Q8—1461no—
1347C2×Q8C23×D7311yescharacteristic
1348C2×Q8C23×D7311yescharacteristic
1349C2×Q8C23×D7311yescharacteristic
1350C2×Q8C23×D7311yescharacteristic
1351C2×D4—22no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—41no—
1356C2×D4—731no—
1357C2×D4—731no—
1358C2×D4—731no—
1359C2×D4—1461no—
1360C2×D4—1461no—
1361C2×D4—1461no—
1362C2×D4—1461no—
1363C2×D4—1461no—
1364C2×D4D4×D7311yescharacteristic
1365C2×D4C23×D7311yescharacteristic
1366C2×D4C23×D7311yescharacteristic
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—2924no—
1372C22×C4—731no—
1373C22×C4—731no—
1374C22×C4—731no—
1375C22×C4—731no—
1376C22×C4—731no—
1377C22×C4—731no—
1378C22×C4—731no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4—1461no—
1383C22×C4—1461no—
1384C22×C4—1461no—
1385C22×C4—1461no—
1386C22×C4—1461no—
1387C22×C4—1461no—
1388C22×C4—1461no—
1389C22×C4—1461no—
1390C22×C4—1461no—
1391C22×C4C23×D7311yescharacteristic
1392C22×C4C23×D7311yescharacteristic
1393Q16—22no—
1394Q16—22no—
1395Q16—41no—
1396Q16—2921no—
1397Q16—2921no—
1398Q16—1462no—
1399SD16—22no—
1400SD16—22no—
1401SD16—22no—
1402SD16—22no—
1403SD16—41no—
1404SD16—2921no—
1405SD16—1462no—
1406SD16#1192402714yescomplemented
1407D8—2921no—
1408D8—1462no—
1409M16—22no—
1410M16—2921no—
1411C2×C8—22no—
1412C2×C8—2921no—
1413C2×C8—2921no—
1414C2×C8—731no—
1415C2×C8—731no—
1416C2×C8—731no—
1417C2×C8—731no—
1418C2×C8—1462no—
1419C2×C8C23×D7311yescharacteristic
1420C2×C8C23×D7311yescharacteristic
1421C2×C8C23×D7311yescharacteristic
1422C2×C8C23×D7311yescharacteristic
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—731no—
1430C4⋊C4—731no—
1431C4⋊C4—731no—
1432C4⋊C4—731no—
1433C4⋊C4—731no—
1434C4⋊C4—731no—
1435C4⋊C4—731no—
1436C4⋊C4—731no—
1437C4⋊C4—731no—
1438C4⋊C4—731no—
1439C4⋊C4—731no—
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⋊C4—1461no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4—1461no—
1457C4⋊C4—1461no—
1458C4⋊C4—1461no—
1459C4⋊C4—1461no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4—1461no—
1468C4⋊C4—1461no—
1469C4⋊C4—1461no—
1470C4⋊C4—1461no—
1471C4⋊C4D4×D7311yescharacteristic
1472C4⋊C4C23×D7311yescharacteristic
1473C4⋊C4C23×D7311yescharacteristic
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—731no—
1482C22⋊C4—731no—
1483C22⋊C4—731no—
1484C22⋊C4—731no—
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⋊C4—1461no—
1501C22⋊C4—1461no—
1502C22⋊C4—1461no—
1503C22⋊C4—1461no—
1504C22⋊C4—1461no—
1505C22⋊C4—1461no—
1506C22⋊C4—1461no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4D4×D7311yescharacteristic
1510C22⋊C4D4×D7311yescharacteristic
1511C42—21no—
1512C42—731no—
1513C42—731no—
1514C42—731no—
1515C42—731no—
1516C42—731no—
1517C42—731no—
1518C42—731no—
1519C42—731no—
1520C42—731no—
1521C42—1461no—
1522C42—1461no—
1523C42—1461no—
1524C42—1461no—
1525C42—1461no—
1526C42—1461no—
1527C42—1461no—
1528C42—1461no—
1529C42—1461no—
1530C42—1461no—
1531C42—1461no—
1532C42—1461no—
1533C42—1461no—
1534C42—1461no—
1535C42C23×D7311yescharacteristic
1536C23—21no—
1537C23—21no—
1538C23—42no—
1539C23—42no—
1540C23—81no—
1541C23—731no—
1542C23—1461no—
1543C23C2×D4×D7311yescharacteristic
1544C23C2×D4×D7311yescharacteristic
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—21no—
1550Q8—21no—
1551Q8—21no—
1552Q8—42no—
1553Q8—42no—
1554Q8—2922no—
1555Q8—2921no—
1556Q8—5841no—
1557Q8—1461no—
1558Q8—1461no—
1559Q8C2×#1192402712yes—
1560D4—22no—
1561D4—21no—
1562D4—21no—
1563D4—21no—
1564D4—42no—
1565D4—42no—
1566D4—81no—
1567D4—2922no—
1568D4—2922no—
1569D4—2922no—
1570D4—2922no—
1571D4—2921no—
1572D4—5841no—
1573D4—1462no—
1574D4—1461no—
1575D4—1461no—
1576D4C2×#1192402712yes—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—42no—
1588C2×C4—42no—
1589C2×C4—42no—
1590C2×C4—81no—
1591C2×C4—2922no—
1592C2×C4—2922no—
1593C2×C4—2921no—
1594C2×C4—2921no—
1595C2×C4—2922no—
1596C2×C4—2922no—
1597C2×C4—2922no—
1598C2×C4—2922no—
1599C2×C4—2922no—
1600C2×C4—2922no—
1601C2×C4—2922no—
1602C2×C4—2922no—
1603C2×C4—2922no—
1604C2×C4—2921no—
1605C2×C4—2921no—
1606C2×C4—2921no—
1607C2×C4—5841no—
1608C2×C4—731no—
1609C2×C4—731no—
1610C2×C4—731no—
1611C2×C4—731no—
1612C2×C4—731no—
1613C2×C4—731no—
1614C2×C4—731no—
1615C2×C4—1461no—
1616C2×C4—1461no—
1617C2×C4—1461no—
1618C2×C4—1461no—
1619C2×C4—1461no—
1620C2×C4—1461no—
1621C2×C4—1461no—
1622C2×C4—1462no—
1623C2×C4—1461no—
1624C2×C4—1461no—
1625C2×C4C2×D4×D7311yescharacteristic
1626C2×C4C2×D4×D7311yescharacteristic
1627C2×C4C2×D4×D7311yescharacteristic
1628C2×C4C2×D4×D7311yescharacteristic
1629C2×C4C24×D7311yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—1461no—
1634C8—1461no—
1635C8—1461no—
1636C8—1461no—
1637C8C2×#1192402712yes—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—22no—
1643C22—21no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—84no—
1650C22—2921no—
1651C22—2921no—
1652C22—2921no—
1653C22—1461no—
1654C22—1461no—
1655C22—1461no—
1656C22#1798938612yes—
1657C22C22×D4×D7311yescharacteristic
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—22no—
1662C4—21no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—2921no—
1669C4—2921no—
1670C4—2921no—
1671C4—2921no—
1672C4—2921no—
1673C4—2921no—
1674C4—2921no—
1675C4—1461no—
1676C4—1461no—
1677C4—1461no—
1678C4—1461no—
1679C4—1461no—
1680C4—1461no—
1681C4—1461no—
1682C4C22×#1192402711yescharacteristic
1683C4#1798942211yescharacteristic
1684C2—22no—
1685C2—41no—
1686C2—42no—
1687C2—81no—
1688C2—2921no—
1689C2—5841no—
1690C2D4×#1192402711yescharacteristic
1691C2C2×#1798938611yescharacteristic
1692C2#2262471311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3266C2
socleC22×C73C23×D4
hypercenter#3266D73
hypocenterC73#61455
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3266

Complements

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

NH ≅ G/Ntype
1. #22623552C2semidirect
2. #22623482C2semidirect
3. #22623007C2semidirect
4. #22622877C2semidirect
5. #22622770C2semidirect
6. #22622751C2semidirect
7. #22622441C2semidirect
8. #22622373C2semidirect
9. #22622302C2semidirect
10. #22622110C2semidirect
11. #22622020C2semidirect
12. #22621982C2semidirect
13. #22621892C2semidirect
14. #22621822C2semidirect
15. #22621770C2semidirect
16. #22621638C2semidirect
17. #22621480C2semidirect
18. #22620653C2semidirect
19. #22620637C2semidirect
20. #22620635C2semidirect
21. #22620097C2semidirect
22. #22620090C2semidirect
23. #22620070C2semidirect
24. #22620056C2semidirect
25. #22620041C2semidirect
26. #22620039C2semidirect
27. #22618941C2semidirect
28. #137×Dic73C2semidirect
29. #22618726C2semidirect
30. C2×#17988688C2semidirect
31. C73×#3266C2semidirect
33. #17989316C22semidirect
35. #17989311C22semidirect
44. #17989279C22semidirect
50. #17989248C22semidirect
56. #17989142C22semidirect
61. #17989123C22semidirect
68. C4×#11924029C22semidirect
73. C2×Q8×Dic73C22semidirect
76. #17988996C22semidirect
77. #17988995C22semidirect
78. #17988988C22semidirect
79. #17988980C22semidirect
81. #17988955C22semidirect
82. #17988954C22semidirect
83. #17988948C22semidirect
85. #17988943C22semidirect
87. #17988927C22semidirect
88. #17988927C22semidirect
89. #17988927C22semidirect
90. #17988925C22semidirect
91. #17988923C22semidirect
95. #17988912C22semidirect
99. #17988896C22semidirect
100. #17988896C22semidirect
101. #17988896C22semidirect
102. #17988894C22semidirect
104. #17988888C22semidirect
107. #17988883C22semidirect
109. #17988870C22semidirect
110. #17988870C22semidirect
111. #17988843C22semidirect
113. #17988833C22semidirect
115. #17988825C22semidirect
116. #17988825C22semidirect
121. #17988811C22semidirect
128. #17988795C22semidirect
129. #17988795C22semidirect
130. #17988794C22semidirect
131. #17988748C22semidirect
135. #17988743C22semidirect
139. #17988716C22semidirect
140. #17988715C22semidirect
144. #17988694C22semidirect
145. #17988694C22semidirect
146. #17988694C22semidirect
147. #17988692C22semidirect
148. #17988691C22semidirect
149. #17988691C22semidirect
150. #17988691C22semidirect
151. #17988690C22semidirect
152. #17988689C22semidirect
163. #17988686C22semidirect
164. Q16×Dic73C22semidirect
165. Q16×Dic73C22semidirect
168. #17988661C22semidirect
170. #17988656C22semidirect
173. #17988643C22semidirect
175. #17988641C22semidirect
176. #17988629C22semidirect
177. #17988624C22semidirect
179. #17988596C22semidirect
181. #17988582C22semidirect
185. M16×Dic73C22semidirect
187. #97×D73C22semidirect
662. SD16×C73#41semidirect
864. #3266D73semidirect
878. C73#61455semidirect
1406. SD16#11924027semidirect

Maximal subgroups

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

subgroupindex
#226235522
#226234822
#226230072
#226228772
#226227702
#226227512
#226224412
#226223732
#226223022
#226221102
#226220202
#226219822
#226218922
#226218222
#226217702
#226216382
#226214802
#226206532
#226206372
#226206352
#226200972
#226200902
#226200702
#226200562
#226200412
#226200392
#226189412
#137×Dic732
#226187262
C2×#179886882
C73×#32662
#6145573