Finite Group Databasebeta

← #30560362

Subgroups — #30560362

Order 15616.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459680C211yesmaximal, characteristic, complemented
2#21459630C211yesmaximal, characteristic, complemented
3#21458668C211yesmaximal, characteristic, complemented
4#21458663C211yesmaximal, characteristic, complemented
5#21458660C211yesmaximal, characteristic, complemented
6#21458655C211yesmaximal, characteristic, complemented
7#21458636C211yesmaximal, characteristic, complemented
8#21458630C211yesmaximal, characteristic, complemented
9#21458601C211yesmaximal, characteristic, complemented
10#21458595C211yesmaximal, characteristic, complemented
11#21458538C211yesmaximal, characteristic, complemented
12#21458537C211yesmaximal, characteristic, complemented
13#21458532C211yesmaximal, characteristic, complemented
14#21458496C211yesmaximal, characteristic, complemented
15#21458494C211yesmaximal, characteristic, complemented
16#21458480C211yesmaximal, characteristic, complemented
17#21458474C211yesmaximal, characteristic, complemented
18#21456211C211yesmaximal, characteristic, complemented
19#21456181C211yesmaximal, characteristic, complemented
20#21456179C211yesmaximal, characteristic, complemented
21#21455667C211yesmaximal, characteristic, complemented
22#21455665C211yesmaximal, characteristic, complemented
23#477×D61C211yesmaximal, characteristic, complemented
24#21455370C211yesmaximal, characteristic, complemented
25#21455364C211yesmaximal, characteristic, complemented
26#21455271C211yesmaximal, characteristic
27#21454764C211yesmaximal, characteristic, complemented
28#21454691C211yesmaximal, characteristic, complemented
29#21454689C211yesmaximal, characteristic, complemented
30#21454641C211yesmaximal, characteristic, complemented
31C61×#3367C211yesmaximal, characteristic, complemented
32C2×#14519806C2211yescharacteristic
33C2×#14519798C2211yescharacteristic
34C2×#14519796C2211yescharacteristic
35#16840495C2211yescharacteristic
36#16840494C2211yescharacteristic
37#16840492C2211yescharacteristic
38#16840492C2211yescharacteristic
39#16840490C2211yescharacteristic
40#16840490C2211yescharacteristic
41#16840487C2211yescharacteristic
42#16840487C2211yescharacteristic
43#16840485C2211yescharacteristic
44#16840484C2211yescharacteristic
45#16840481C2211yescharacteristic
46#16840479—21no—
47#16840471C2211yescharacteristic
48#16840471C2211yescharacteristic
49#16840466—21no—
50#16840466—21no—
51#16840466—21no—
52#16840448—21no—
53#16840445—21no—
54D4×Dic122C2211yescharacteristic
55Q8×C22⋊D61—21no—
56#16840425—21no—
57#16840391—21no—
58#16840391—21no—
59#16840389C2211yescharacteristic
60#16840389C2211yescharacteristic
61#16840358—21no—
62#16840353—21no—
63#16840337C2211yescharacteristic
64#16840332C2211yescharacteristic
65#16840316C2211yescharacteristic
66#16840314—21no—
67#16840311C2211yescharacteristic
68C2×#14519775—21no—
69C4⋊Q8×D61C2211yescharacteristic
70#16840295—21no—
71#16840290—21no—
72#16840244C2211yescharacteristic
73#16840241C2211yescharacteristic
74#16840241C2211yescharacteristic
75#16840241C2211yescharacteristic
76C4×#11758224C2211yescharacteristic
77C4×Q8×D61C2211yescharacteristic
78#16840131C2211yescharacteristic
79#16840130C2211yescharacteristic
80#16840129C2211yescharacteristic
81#16840129C2211yescharacteristic
82#16840124C2211yescharacteristic
83#16840124C2211yescharacteristic
84#16840123C2211yescharacteristic
85#16840122C2211yescharacteristic
86#16840121C2211yescharacteristic
87#16840120C2211yescharacteristic
88#16840118C2211yescharacteristic
89#16840117C2211yescharacteristic
90#16840116C2211yescharacteristic
91#16840115C2211yescharacteristic
92#16840114C2211yescharacteristic
93#16840111C2211yescharacteristic
94#16840111C2211yescharacteristic
95#16840111C2211yescharacteristic
96#16840111C2211yescharacteristic
97#16840107C2211yescharacteristic
98#16840107C2211yescharacteristic
99#16840070C2211yescharacteristic
100#16840069C2211yescharacteristic
101#16840068C2211yescharacteristic
102#16840067C2211yescharacteristic
103#16840065C2211yescharacteristic
104#16840064C2211yescharacteristic
105#16840063C2211yescharacteristic
106#16840062C2211yescharacteristic
107#16840058C2211yescharacteristic
108#16840057C2211yescharacteristic
109#16840056C2211yescharacteristic
110#16840056C2211yescharacteristic
111#16840056C2211yescharacteristic
112#16840055C2211yescharacteristic
113#16840055C2211yescharacteristic
114#16840055C2211yescharacteristic
115#16840054C2211yescharacteristic
116#16840054C2211yescharacteristic
117#16840041C2211yescharacteristic
118#16840040C2211yescharacteristic
119#16840039C2211yescharacteristic
120#16839987C2211yescharacteristic
121#16839985C2211yescharacteristic
122#16839985C2211yescharacteristic
123#16839983C2211yescharacteristic
124#16839981C2211yescharacteristic
125#16839981C2211yescharacteristic
126#16839979C2211yescharacteristic
127#16839977C2211yescharacteristic
128#16839977C2211yescharacteristic
129#16839975C2211yescharacteristic
130#16839973C2211yescharacteristic
131#16839971C2211yescharacteristic
132#16839971C2211yescharacteristic
133#16839971C2211yescharacteristic
134#16839969C2211yescharacteristic
135#16839967C2211yescharacteristic
136#16839965C2211yescharacteristic
137#16839965C2211yescharacteristic
138#16839965C2211yescharacteristic
139#16839961C2211yescharacteristic
140#16839955C2211yescharacteristic
141#16839893C2211yescharacteristic
142#16839891C2211yescharacteristic
143#16839891C2211yescharacteristic
144#16839890C2211yescharacteristic
145#16839890C2211yescharacteristic
146C8×Dic122C2211yescharacteristic
147#16839886C2211yescharacteristic
148#16839870C2211yescharacteristic
149#16839867C2211yescharacteristic
150#16839864C2211yescharacteristic
151#16839863C2211yescharacteristic
152#16839862C2211yescharacteristic
153#16839862C2211yescharacteristic
154#16839862C2211yescharacteristic
155#16839861C2211yescharacteristic
156#16839859C2211yescharacteristic
157#16839859C2211yescharacteristic
158C4×Dic244C2211yescharacteristic
159#16839856C2211yescharacteristic
160#16839856C2211yescharacteristic
161C4×#11758202C2211yescharacteristic
162#16839854C2211yescharacteristic
163#16839854C2211yescharacteristic
164#16839853C2211yescharacteristic
165SD16×Dic61C2211yescharacteristic
166D8×Dic61C2211yescharacteristic
167C4×#11758199C2211yescharacteristic
168#16839842C2211yescharacteristic
169#16839803C2211yescharacteristic
170#107×D61C2211yescharacteristic
171#107×D61C2211yescharacteristic
172#16839787C2211yescharacteristic
173#16839787C2211yescharacteristic
174C4⋊C8×D61C2211yescharacteristic
175#16839769C2211yescharacteristic
176#16839762C2211yescharacteristic
177#16839762C2211yescharacteristic
178#16839760C2211yescharacteristic
179#16839760C2211yescharacteristic
180#16839760C2211yescharacteristic
181#16839757C2211yescharacteristic
182#16839755C2211yescharacteristic
183#103×D61C2211yescharacteristic
184#103×D61C2211yescharacteristic
185#16839719C2211yescharacteristic
186#16839716C2211yescharacteristic
187#16839714C2211yescharacteristic
188C61×#556C2211yescharacteristic
189D4×Q8×C61C2211yescharacteristic
190C61×#489C2211yescharacteristic
191C61×#489C2211yescharacteristic
192C61×#487C2211yescharacteristic
193C61×#477C2211yescharacteristic
194C61×#477C2211yescharacteristic
195C61×#474C2211yescharacteristic
196C61×#463C2211yescharacteristic
197C61×#463C2211yescharacteristic
198C61×#461C2211yescharacteristic
199C61×#446C2211yescharacteristic
200C61×#440C2211yescharacteristic
201C61×#440C2211yescharacteristic
202C4×D8×C61C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758224C2311yescharacteristic
205C2×#11758224C2311yescharacteristic
206C22×Dic122—21no—
207C2×Q8×D61—21no—
208C2×Q8×D61C2311yescharacteristic
209#14519806—24no—
210#14519798—24no—
211#14519796—24no—
212C2×Dic244C2311yescharacteristic
213C2×Dic244C2311yescharacteristic
214C2×#11758202C2311yescharacteristic
215C2×#11758202C2311yescharacteristic
216C2×#11758190C2311yescharacteristic
217C2×#11758200C2311yescharacteristic
218C2×#11758200C2311yescharacteristic
219C2×#11758200C2311yescharacteristic
220C2×#11758199C2311yescharacteristic
221C2×#11758189C2311yescharacteristic
222C2×#11758189C2311yescharacteristic
223C2×C8×D61C2311yescharacteristic
224C2×C8×D61C2311yescharacteristic
225#14519777C2311yescharacteristic
226#14519777C2311yescharacteristic
227#14519776—21no—
228#14519776—21no—
229#14519776—21no—
230#14519776D411yescharacteristic
231#14519776C2311yescharacteristic
232#14519776C2311yescharacteristic
233#14519776C2311yescharacteristic
234#14519776C2311yescharacteristic
235#14519775—21no—
236#14519775—21no—
237#14519775—21no—
238#14519775—21no—
239#14519775—21no—
240#14519775—21no—
241#14519775—21no—
242#14519775—21no—
243#14519775—21no—
244#14519775D411yescharacteristic
245#14519775C2311yescharacteristic
246#14519775C2311yescharacteristic
247#14519775C2311yescharacteristic
248#14519773C2311yescharacteristic
249#14519772—21no—
250#14519772—21no—
251#14519772—21no—
252#14519771—21no—
253#14519770—21no—
254#14519770—21no—
255#14519769—21no—
256#14519769C2311yescharacteristic
257#14519769C2311yescharacteristic
258#14519768—21no—
259#14519768C2311yescharacteristic
260#14519768C2311yescharacteristic
261#14519767—21no—
262#14519767—21no—
263#14519767—21no—
264#14519767—21no—
265#14519767—21no—
266#14519767—21no—
267#14519767—21no—
268#14519767—21no—
269#14519767—21no—
270#14519767—21no—
271#14519767D411yescharacteristic
272#14519767D411yescharacteristic
273#14519766C2311yescharacteristic
274#14519765C2311yescharacteristic
275#14519765C2311yescharacteristic
276#14519764C2311yescharacteristic
277#14519763—21no—
278#14519763—21no—
279#14519762—21no—
280#14519762—21no—
281#14519761—21no—
282#14519760—21no—
283#14519759—21no—
284#14519759—21no—
285#14519759—21no—
286#14519759—21no—
287#14519757D411yescharacteristic
288#14519756—21no—
289#14519756—21no—
290#14519756—21no—
291#14519755—21no—
292#14519755—21no—
293#14519755—21no—
294#14519755—21no—
295#14519755—21no—
296#14519755D411yescharacteristic
297#14519755D411yescharacteristic
298#14519754—21no—
299#14519754—21no—
300#14519754—21no—
301#14519754—21no—
302#14519754—21no—
303#14519754—21no—
304#14519754—21no—
305#14519754—21no—
306#14519754—21no—
307#14519753—21no—
308#14519753—21no—
309#14519753—21no—
310#14519753D411yescharacteristic
311#14519750—21no—
312#14519750—21no—
313Q8×Dic61—21no—
314Q8×Dic61C2311yescharacteristic
315Q8×Dic61C2311yescharacteristic
316C4×Dic122—21no—
317C4×Dic122—21no—
318C4×Dic122C2311yescharacteristic
319C4×Dic122C2311yescharacteristic
320C4×Dic122C2311yescharacteristic
321C4×Dic122C2311yescharacteristic
322C4×Dic122C2311yescharacteristic
323C4×Dic122C2311yescharacteristic
324C4×Dic122C2311yescharacteristic
325C4×Dic122C2311yescharacteristic
326#14519742—21no—
327#14519742—21no—
328#14519742—21no—
329#14519742—21no—
330#14519742—21no—
331#14519742C2311yescharacteristic
332#14519742C2311yescharacteristic
333#14519742C2311yescharacteristic
334#14519742C2311yescharacteristic
335#14519742C2311yescharacteristic
336C4×D244—21no—
337C4×D244C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340D4×Dic61C2311yescharacteristic
341D4×Dic61C2311yescharacteristic
342#14519739—21no—
343#14519739C2311yescharacteristic
344C4×C22⋊D61—21no—
345C4×C22⋊D61—21no—
346C4×C22⋊D61—21no—
347C4×C22⋊D61—21no—
348C4×C22⋊D61—21no—
349#14519737—21no—
350#14519737—21no—
351#14519737—21no—
352#14519737—21no—
353#14519737—21no—
354#14519737—21no—
355#14519737—21no—
356#14519735—21no—
357#14519735C2311yescharacteristic
358#14519734—21no—
359#14519734—21no—
360#14519734C2311yescharacteristic
361#14519734C2311yescharacteristic
362#14519733—21no—
363#14519733—21no—
364#14519733—21no—
365#14519733—21no—
366#14519733—21no—
367C2×#11758196—21no—
368C2×#11758196—21no—
369C2×#11758196—21no—
370C2×#11758196—21no—
371C2×#11758196—21no—
372C4⋊C4×D61—21no—
373C4⋊C4×D61—21no—
374C4⋊C4×D61—21no—
375C4⋊C4×D61C2311yescharacteristic
376C4⋊C4×D61C2311yescharacteristic
377C4⋊C4×D61C2311yescharacteristic
378C2×C4×Dic61—21no—
379C42×D61—21no—
380C42×D61C2311yescharacteristic
381#14519711C2311yescharacteristic
382#14519711C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519710C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519708C2311yescharacteristic
390C4⋊#92418C2311yescharacteristic
391C4⋊#92418C2311yescharacteristic
392C4⋊#92418C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519688C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C4×#92418C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C22×Q8×C61—21no—
439C2×SD16×C61C2311yescharacteristic
440C2×SD16×C61C2311yescharacteristic
441C2×D8×C61C2311yescharacteristic
442C4⋊Q8×C61C2311yescharacteristic
443C4⋊Q8×C61C2311yescharacteristic
444C4⋊Q8×C61C2311yescharacteristic
445C4⋊Q8×C61C2311yescharacteristic
446#126×C61—21no—
447#126×C61—21no—
448#124×C61C2311yescharacteristic
449#124×C61C2311yescharacteristic
450C22⋊Q8×C61—21no—
451C22⋊Q8×C61—21no—
452C22⋊Q8×C61—21no—
453C22⋊Q8×C61—21no—
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×Q8×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459C4×D4×C61C2311yescharacteristic
460C4×D4×C61C2311yescharacteristic
461#117×C61—21no—
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#97×C61C2311yescharacteristic
479#97×C61C2311yescharacteristic
480C4×C8×C61C2311yescharacteristic
481C2×Q8×C61—21no—
482C2×Q8×C61—21no—
483C2×Q8×C61—21no—
484C2×Q8×C61—82no—
485C2×Q8×C61C2×D411yescharacteristic
486C2×Q8×C61C2411yescharacteristic
487C2×Q8×C61C2411yescharacteristic
488C2×D4×C61C2411yescharacteristic
489C2×D4×C61C2411yescharacteristic
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C22×Dic61—21no—
499C22×Dic61—21no—
500C22×Dic61—21no—
501C22×Dic61—21no—
502C22×Dic61—21no—
503C22×Dic61—21no—
504#11758226—22no—
505#11758226—22no—
506Q8×D61—22no—
507Q8×D61—22no—
508Q8×D61—82no—
509#11758224—22no—
510#11758224—22no—
511#11758224—22no—
512#11758224#4114yes—
513C2×D244—21no—
514C2×D244C2411yescharacteristic
515C2×C4×D61—21no—
516C2×C4×D61—21no—
517C2×C4×D61—21no—
518C2×C4×D61—21no—
519C2×C4×D61—21no—
520C2×C4×D61—21no—
521C2×C4×D61—21no—
522C2×C4×D61C2×D411yescharacteristic
523C2×C4×D61C2×D411yescharacteristic
524C2×C4×D61C2411yescharacteristic
525C2×Dic122—21no—
526C2×Dic122—21no—
527C2×Dic122—21no—
528C2×Dic122—21no—
529C2×Dic122—21no—
530C2×Dic122—21no—
531C2×Dic122—82no—
532C2×Dic122C2×D411yescharacteristic
533C2×Dic122C2×D411yescharacteristic
534C2×Dic122C2×D411yescharacteristic
535C2×Dic122C2411yescharacteristic
536C2×Dic122C2411yescharacteristic
537C2×Dic122C2411yescharacteristic
538SD16×C61—22no—
539SD16×C61—22no—
540D8×C61—22no—
541C2×C8×C61C2411yescharacteristic
542C2×C8×C61C2411yescharacteristic
543C2×C8×C61C2411yescharacteristic
544C2×C8×C61C2411yescharacteristic
545C4⋊C4×C61—21no—
546C4⋊C4×C61—21no—
547C4⋊C4×C61—21no—
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61C2×D411yescharacteristic
553C4⋊C4×C61C2×D411yescharacteristic
554C4⋊C4×C61C2×D411yescharacteristic
555C4⋊C4×C61C2411yescharacteristic
556C4⋊C4×C61C2411yescharacteristic
557C4⋊C4×C61C2411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C22⋊C4×C61—21no—
560C22⋊C4×C61—21no—
561C22⋊C4×C61—21no—
562C22⋊C4×C61—21no—
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C42×C61—21no—
568C42×C61—21no—
569C42×C61C2411yescharacteristic
570C42×C61C2411yescharacteristic
571C42×C61C2411yescharacteristic
572C22⋊Dic61—21no—
573C22⋊Dic61—21no—
574C22⋊Dic61—21no—
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578#11758202—22no—
579#11758202—22no—
580#11758200—22no—
581#11758200—22no—
582#11758200—22no—
583#11758199—22no—
584#11758198—21no—
585#11758198—21no—
586#11758198—21no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198C2×D411yescharacteristic
594#11758198C2×D411yescharacteristic
595#11758198C2×D411yescharacteristic
596#11758198C2×D411yescharacteristic
597C4⋊Dic61—21no—
598C4⋊Dic61—21no—
599C4⋊Dic61—21no—
600C4⋊Dic61—21no—
601C4⋊Dic61—21no—
602C4⋊Dic61—21no—
603C4⋊Dic61—21no—
604C4⋊Dic61C2×D411yescharacteristic
605C4⋊Dic61C2×D411yescharacteristic
606C4⋊Dic61C2×D411yescharacteristic
607C4⋊Dic61C2411yescharacteristic
608C4⋊Dic61C2411yescharacteristic
609C4⋊Dic61C2411yescharacteristic
610C4⋊Dic61C2411yescharacteristic
611#11758196—21no—
612#11758196—21no—
613#11758196—21no—
614#11758196—21no—
615#11758196—21no—
616#11758196—21no—
617#11758196—21no—
618#11758196—21no—
619#11758196—21no—
620#11758196—21no—
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196C2×D411yescharacteristic
641#11758196C2×D411yescharacteristic
642#11758196C2×D411yescharacteristic
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649#11758196C2×D411yescharacteristic
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61—21no—
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61C2×D411yescharacteristic
664C4×Dic61C2×D411yescharacteristic
665C4×Dic61C2411yescharacteristic
666C4×Dic61C2411yescharacteristic
667C4×Dic61C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670C2×#92418C2411yescharacteristic
671C2×#92418C2411yescharacteristic
672Dic244—22no—
673Dic244—22no—
674#11758190—22no—
675#11758189—22no—
676#11758189—22no—
677C8×D61—22no—
678C8×D61—22no—
679C23×C61—21no—
680C23×C61—21no—
681C22×D61—21no—
682C22×D61C22×D411yescharacteristic
683Q8×C61—21no—
684Q8×C61—21no—
685Q8×C61—21no—
686Q8×C61—21no—
687Q8×C61—41no—
688Q8×C61—42no—
689Q8×C61—81no—
690Q8×C61—81no—
691D4×C61—21no—
692D4×C61—21no—
693D4×C61—21no—
694D4×C61C2×#4112yes—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—42no—
702C2×C4×C61—81no—
703C2×C4×C61—81no—
704C2×C4×C61—81no—
705C2×C4×C61C22×D411yescharacteristic
706C2×C4×C61C22×D411yescharacteristic
707C2×C4×C61C22×D411yescharacteristic
708C2×C4×C61C22×D411yescharacteristic
709C2×C4×C61C22×D411yescharacteristic
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C2511yescharacteristic
712C22⋊D61—24no—
713C22⋊D61—42no—
714C22⋊D61—42no—
715C22⋊D61—81no—
716C2×Dic61—21no—
717C2×Dic61—24no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—42no—
725C2×Dic61—42no—
726C2×Dic61—81no—
727C2×Dic61—81no—
728C2×Dic61—81no—
729C2×Dic61C22×D411yescharacteristic
730C2×Dic61C22×D411yescharacteristic
731C2×Dic61C22×D411yescharacteristic
732C2×Dic61C22×D411yescharacteristic
733C2×Dic61C22×D411yescharacteristic
734C2×Dic61C22×D411yescharacteristic
735C2×Dic61C22×D411yescharacteristic
736D244—21no—
737D244—21no—
738D244—42no—
739C4×D61—22no—
740C4×D61—41no—
741C4×D61—42no—
742C4×D61—42no—
743C4×D61—81no—
744C4×D61—81no—
745C4×D61—81no—
746C4×D61—81no—
747C4×D61—81no—
748C4×D61C2×#4112yes—
749C4×D612−1+412yes—
750Dic122—21no—
751Dic122—22no—
752Dic122—22no—
753Dic122—21no—
754Dic122—21no—
755Dic122—21no—
756Dic122—21no—
757Dic122—41no—
758Dic122—42no—
759Dic122—42no—
760Dic122—81no—
761Dic122—81no—
762Dic122—81no—
763Dic122—81no—
764Dic122C2×#4112yes—
765C8×C61—21no—
766C8×C61—21no—
767C8×C61—21no—
768C8×C61—21no—
769#92418—21no—
770#92418—21no—
771#92418—21no—
772#92418—21no—
773#61348—611nomaximal, Sylow
774C22×C61—22no—
775C22×C61—41no—
776C22×C61—41no—
777C22×C61—41no—
778C22×C61—41no—
779C22×C61—41no—
780C22×C61C23×D411yescharacteristic
781C2×D61—21no—
782C2×D61—21no—
783C2×D61—41no—
784C2×D61—41no—
785C2×D61—41no—
786C2×D61#54812yes—
787C4×C61—21no—
788C4×C61—21no—
789C4×C61—21no—
790C4×C61—21no—
791C4×C61—21no—
792C4×C61—21no—
793C4×C61—41no—
794C4×C61—41no—
795C4×C61—41no—
796C4×C61—41no—
797C4×C61—41no—
798C4×C61—41no—
799C4×C61C22×#4111yescharacteristic
800C4×C61C2×2−1+411yescharacteristic
801Dic61—21no—
802Dic61—21no—
803Dic61—21no—
804Dic61—22no—
805Dic61—21no—
806Dic61—21no—
807Dic61—41no—
808Dic61—41no—
809Dic61—41no—
810Dic61—41no—
811Dic61—41no—
812Dic61—41no—
813Dic61#54812yes—
814Dic61#57812yes—
815#3507—611no—
816#3503—611no—
817#3377—611no—
818#3377—611no—
819#3377—611no—
820#3377—611no—
821#3375—611no—
822#3375—611no—
823#3372—611no—
824#3372—611no—
825#3367—611no—
826#3367—611no—
827#3367—611no—
828#3367D6111yescharacteristic, complemented
829#3363—611no—
830#3363—611no—
831#3361—611no—
832#3361—611no—
833#3141—611no—
834#3137—611no—
835#3137—611no—
836#3083—611no—
837#3083—611no—
838C2×#477—611no—
839#3046—611no—
840#3046—611no—
841#3035—611no—
842#2962—611no—
843#2951—611no—
844#2951—611no—
845C4×#137—611no—
846C2×C61—42no—
847C2×C61—81no—
848C2×C61C2×#54811yescharacteristic
849C2×C61C2×#57811yescharacteristic
850C2×C61#358511yescharacteristic
851D61—22no—
852D61—81no—
853C2×#137—611no—
854C2×#135—611no—
855C2×#135—611no—
856#559—611no—
857#559—611no—
858Q82—611no—
859Q82—611no—
860#557—611no—
861#557—611no—
862#557—611no—
863#557—611no—
864#556—611no—
865#556—611no—
866#556—611no—
867#556—1221no—
868#556C2×D6111yescharacteristic
869#554—611no—
870#554—611no—
871#554—1221no—
872#554—1221no—
873#554—1221no—
874#552—1221no—
875#552—1221no—
876D4×Q8—611no—
877D4×Q8—1221no—
878D4×Q8—1221no—
879D4×Q8C2×D6111yescharacteristic
880#544—611no—
881#544—611no—
882#544—1221no—
883#544—1221no—
884#539—1221no—
885#539—1221no—
886#536—611no—
887#536—611no—
888#533—611no—
889#533—1221no—
890#532—611no—
891C2×C4⋊Q8—611no—
892C2×C4⋊Q8—1221no—
893#529—1221no—
894#529—1221no—
895#520—611no—
896#520—611no—
897#520—611no—
898#520—611no—
899C4×#41—611no—
900C2×C4×Q8—611no—
901#491—611no—
902#491—611no—
903#491—611no—
904#491—611no—
905#489—611no—
906#489—611no—
907#489—611no—
908#489—611no—
909#489—611no—
910#489—611no—
911#489C2×D6111yescharacteristic
912#489C2×D6111yescharacteristic
913#488—611no—
914#488—611no—
915#488—611no—
916#488—611no—
917#487—611no—
918#487—611no—
919#487—611no—
920#487—611no—
921#487—611no—
922#487C2×D6111yescharacteristic
923#486—611no—
924#486—611no—
925#479—611no—
926#479—611no—
927#479—611no—
928#479—611no—
929#478—611no—
930#478—611no—
931#478—611no—
932#478—611no—
933#477—611no—
934#477—611no—
935#477—611no—
936#477—611no—
937#477—611no—
938#477—611no—
939#477—611no—
940#477—611no—
941#477—611no—
942#477—611no—
943#477C2×D6111yescharacteristic
944#477C2×D6111yescharacteristic
945#474—611no—
946#474—611no—
947#474—611no—
948#474C2×D6111yescharacteristic
949#464—611no—
950#464—611no—
951#464—611no—
952#464—611no—
953#464—611no—
954#464—611no—
955#463—611no—
956#463—611no—
957#463—611no—
958#463—611no—
959#463C2×D6111yescharacteristic
960#463C2×D6111yescharacteristic
961#462—611no—
962#462—611no—
963#462—611no—
964#462—611no—
965#462—611no—
966#461—611no—
967#461—611no—
968#461—611no—
969#461—611no—
970#461C2×D6111yescharacteristic
971#460—611no—
972#459—611no—
973#446—611no—
974#446—611no—
975#446—611no—
976#446—611no—
977#446—611no—
978#446C2×D6111yescharacteristic
979C8×Q8—611no—
980C8×Q8—611no—
981#441—611no—
982#441—611no—
983#440—611no—
984#440—611no—
985#440—611no—
986#440—611no—
987#440—611no—
988#440—611no—
989#440—611no—
990#440—611no—
991#440C2×D6111yescharacteristic
992#440C2×D6111yescharacteristic
993C4×Q16—611no—
994C4×Q16—611no—
995C4×Q16—611no—
996C4×Q16—611no—
997C4×Q16—611no—
998C4×Q16—611no—
999C4×SD16—611no—
1000C4×SD16—611no—
1001C4×D8—611no—
1002C4×D8—611no—
1003C4×D8—611no—
1004C4×D8C2×D6111yescharacteristic
1005#428—611no—
1006C2×#107—611no—
1007C2×#107—611no—
1008#424—611no—
1009#424—611no—
1010C2×C4⋊C8—611no—
1011#419—611no—
1012#417—611no—
1013#417—611no—
1014#417—611no—
1015#417—611no—
1016#417—611no—
1017#416—611no—
1018#416—611no—
1019C2×#103—611no—
1020C2×#103—611no—
1021#405—611no—
1022#405—611no—
1023C4×M16—611no—
1024C61#6134811yescharacteristic, complemented, Sylow
1025C2×#41—611no—
1026C2×#41—611no—
1027C2×#41—611no—
1028C22×Q8—21no—
1029C22×Q8—611no—
1030C22×Q8—1221no—
1031C22×Q8—1221no—
1032#137—1224no—
1033#135—1224no—
1034#135—1224no—
1035C2×Q16—611no—
1036C2×Q16—611no—
1037C2×Q16—611no—
1038C2×Q16—611no—
1039C2×SD16—611no—
1040C2×SD16—611no—
1041C2×SD16—611no—
1042C2×SD16—611no—
1043C2×SD16C22×D6111yescharacteristic
1044C2×SD16C22×D6111yescharacteristic
1045C2×D8—611no—
1046C2×D8C22×D6111yescharacteristic
1047C2×M16—611no—
1048C2×M16—611no—
1049C22×C8—611no—
1050C22×C8—611no—
1051C4⋊Q8—611no—
1052C4⋊Q8—611no—
1053C4⋊Q8—611no—
1054C4⋊Q8—611no—
1055C4⋊Q8—611no—
1056C4⋊Q8—611no—
1057C4⋊Q8—611no—
1058C4⋊Q8—611no—
1059C4⋊Q8—611no—
1060C4⋊Q8—611no—
1061C4⋊Q8—611no—
1062C4⋊Q8—1221no—
1063C4⋊Q8—1221no—
1064C4⋊Q8—1221no—
1065C4⋊Q8—1221no—
1066C4⋊Q8—1221no—
1067C4⋊Q8—1221no—
1068C4⋊Q8—1221no—
1069C4⋊Q8—1221no—
1070C4⋊Q8—1221no—
1071C4⋊Q8—1221no—
1072C4⋊Q8—1221no—
1073C4⋊Q8—1221no—
1074C4⋊Q8C22×D6111yescharacteristic
1075C4⋊Q8C22×D6111yescharacteristic
1076C4⋊Q8C22×D6111yescharacteristic
1077C4⋊Q8C22×D6111yescharacteristic
1078#127—611no—
1079#126—21no—
1080#126—21no—
1081#126—1221no—
1082#126—1221no—
1083#126—1221no—
1084#126—1221no—
1085#126—1221no—
1086#126—1221no—
1087#125—611no—
1088#125—611no—
1089#125—611no—
1090#125—611no—
1091#125—611no—
1092#125—611no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125—1221no—
1098#125—1221no—
1099#125—1221no—
1100#125—1221no—
1101#125—1221no—
1102#125—1221no—
1103#125—1221no—
1104#125—1221no—
1105#124—611no—
1106#124—611no—
1107#124—611no—
1108#124—611no—
1109#124—1221no—
1110#124—1221no—
1111#124C22×D6111yescharacteristic
1112#124C22×D6111yescharacteristic
1113#123—1221no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121C22⋊Q8—21no—
1122C22⋊Q8—21no—
1123C22⋊Q8—21no—
1124C22⋊Q8—21no—
1125C22⋊Q8—611no—
1126C22⋊Q8—611no—
1127C22⋊Q8—611no—
1128C22⋊Q8—611no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8—1221no—
1142C22⋊Q8—1221no—
1143C22⋊Q8—1221no—
1144C22⋊Q8—1221no—
1145C22⋊Q8—1221no—
1146C22⋊Q8—1221no—
1147C22⋊Q8—1221no—
1148C22⋊Q8—1221no—
1149#121—1221no—
1150#121—1221no—
1151C4×Q8—611no—
1152C4×Q8—611no—
1153C4×Q8—611no—
1154C4×Q8—611no—
1155C4×Q8—611no—
1156C4×Q8—611no—
1157C4×Q8—611no—
1158C4×Q8—611no—
1159C4×Q8—611no—
1160C4×Q8—611no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—611no—
1165C4×Q8—611no—
1166C4×Q8—1221no—
1167C4×Q8—1221no—
1168C4×Q8—1221no—
1169C4×Q8—1221no—
1170C4×Q8—1221no—
1171C4×Q8—1221no—
1172C4×Q8—1221no—
1173C4×Q8—1221no—
1174C4×Q8C22×D6111yescharacteristic
1175C4×Q8C22×D6111yescharacteristic
1176C4×Q8C22×D6111yescharacteristic
1177C4×D4—611no—
1178C4×D4—611no—
1179C4×D4—611no—
1180C4×D4—611no—
1181C4×D4—611no—
1182C4×D4—611no—
1183C4×D4—1221no—
1184C4×D4—1221no—
1185C4×D4—1221no—
1186C4×D4—1221no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4C22×D6111yescharacteristic
1198C4×D4C22×D6111yescharacteristic
1199C4×D4C22×D6111yescharacteristic
1200C4×D4C22×D6111yescharacteristic
1201#117—21no—
1202#117—611no—
1203#117—611no—
1204#117—611no—
1205#117—1221no—
1206#117—1221no—
1207#117—1221no—
1208#117—1221no—
1209#117—1221no—
1210#117—1221no—
1211#117—1221no—
1212#117—1221no—
1213C2×C4⋊C4—611no—
1214C2×C4⋊C4—611no—
1215C2×C4⋊C4—611no—
1216C2×C4⋊C4—1221no—
1217C2×C4⋊C4—1221no—
1218C2×C4⋊C4—1221no—
1219C2×C4⋊C4—1221no—
1220C2×C4⋊C4—1221no—
1221C2×C4⋊C4—1221no—
1222C2×C4⋊C4—1221no—
1223C2×C4⋊C4—1221no—
1224C2×C42—611no—
1225C2×C42—1221no—
1226C2×C42—1221no—
1227#107—611no—
1228#107—611no—
1229#107—611no—
1230#107—611no—
1231#107—611no—
1232#107—611no—
1233#107—611no—
1234#107C22×D6111yescharacteristic
1235#107C22×D6111yescharacteristic
1236#107C22×D6111yescharacteristic
1237#106—611no—
1238#106—611no—
1239C4⋊C8—611no—
1240C4⋊C8—611no—
1241C4⋊C8—611no—
1242C4⋊C8—611no—
1243C4⋊C8—611no—
1244C4⋊C8—611no—
1245C4⋊C8—611no—
1246C4⋊C8—611no—
1247C4⋊C8—611no—
1248C4⋊C8C22×D6111yescharacteristic
1249C4⋊C8C22×D6111yescharacteristic
1250C4⋊C8C22×D6111yescharacteristic
1251#103—611no—
1252#103—611no—
1253#103—611no—
1254#103—611no—
1255#103—611no—
1256#103—611no—
1257#103—611no—
1258#103—611no—
1259#103—611no—
1260#103—611no—
1261#103—611no—
1262#103—611no—
1263#103—611no—
1264#103—611no—
1265#103—611no—
1266#103—611no—
1267#103—611no—
1268#103—611no—
1269#103—611no—
1270#103—611no—
1271#103C22×D6111yescharacteristic
1272#103C22×D6111yescharacteristic
1273#103C22×D6111yescharacteristic
1274#103C22×D6111yescharacteristic
1275#103C22×D6111yescharacteristic
1276#103C22×D6111yescharacteristic
1277#102—611no—
1278#102—611no—
1279#102—611no—
1280#102—611no—
1281#102—611no—
1282#102—611no—
1283#102—611no—
1284#102—611no—
1285#102—611no—
1286#102—611no—
1287#102C22×D6111yescharacteristic
1288#102C22×D6111yescharacteristic
1289#102C22×D6111yescharacteristic
1290#102C22×D6111yescharacteristic
1291#97—611no—
1292#97—611no—
1293#97—611no—
1294#97—611no—
1295#97C22×D6111yescharacteristic
1296#97C22×D6111yescharacteristic
1297C4×C8—611no—
1298C4×C8—611no—
1299C4×C8—611no—
1300C4×C8—611no—
1301C4×C8—611no—
1302C4×C8C22×D6111yescharacteristic
1303#41—614no—
1304#41—1222no—
1305#41—1222no—
1306#41—1222no—
1307#41—1222no—
1308#41—1222no—
1309C2×Q8—21no—
1310C2×Q8—21no—
1311C2×Q8—21no—
1312C2×Q8—82no—
1313C2×Q8—611no—
1314C2×Q8—611no—
1315C2×Q8—611no—
1316C2×Q8—611no—
1317C2×Q8—611no—
1318C2×Q8—611no—
1319C2×Q8—1221no—
1320C2×Q8—1221no—
1321C2×Q8—1221no—
1322C2×Q8—1221no—
1323C2×Q8—1221no—
1324C2×Q8—1222no—
1325C2×Q8—1222no—
1326C2×Q8—1221no—
1327C2×Q8—4882no—
1328C2×Q8—4882no—
1329C2×Q8D4×D6111yescharacteristic
1330C2×Q8C23×D6111yescharacteristic
1331C2×Q8C23×D6111yescharacteristic
1332C2×D4—611no—
1333C2×D4—1221no—
1334C2×D4—1221no—
1335C2×D4—1221no—
1336C2×D4—1221no—
1337C2×D4—1221no—
1338C2×D4C23×D6111yescharacteristic
1339C2×D4C23×D6111yescharacteristic
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—611no—
1345C22×C4—611no—
1346C22×C4—611no—
1347C22×C4—1221no—
1348C22×C4—1221no—
1349C22×C4—1221no—
1350C22×C4—1221no—
1351C22×C4—1221no—
1352C22×C4—1221no—
1353C22×C4—1221no—
1354C22×C4—1221no—
1355C22×C4—1221no—
1356C22×C4—1221no—
1357C22×C4—1221no—
1358C22×C4—1221no—
1359C22×C4—1221no—
1360Q16—1222no—
1361Q16—1222no—
1362Q16—1222no—
1363Q16—1222no—
1364SD16—22no—
1365SD16—22no—
1366SD16—1222no—
1367SD16—1222no—
1368SD16—1222no—
1369SD16—1222no—
1370D8—22no—
1371D8—1222no—
1372M16—1222no—
1373M16—1222no—
1374C2×C8—611no—
1375C2×C8—611no—
1376C2×C8—611no—
1377C2×C8—611no—
1378C2×C8—1222no—
1379C2×C8—1222no—
1380C2×C8C23×D6111yescharacteristic
1381C2×C8C23×D6111yescharacteristic
1382C2×C8C23×D6111yescharacteristic
1383C2×C8C23×D6111yescharacteristic
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—611no—
1392C4⋊C4—611no—
1393C4⋊C4—611no—
1394C4⋊C4—611no—
1395C4⋊C4—611no—
1396C4⋊C4—611no—
1397C4⋊C4—611no—
1398C4⋊C4—611no—
1399C4⋊C4—611no—
1400C4⋊C4—611no—
1401C4⋊C4—611no—
1402C4⋊C4—611no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—1221no—
1409C4⋊C4—1221no—
1410C4⋊C4—1221no—
1411C4⋊C4—1221no—
1412C4⋊C4—1221no—
1413C4⋊C4—1221no—
1414C4⋊C4—1221no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4D4×D6111yescharacteristic
1445C4⋊C4D4×D6111yescharacteristic
1446C4⋊C4D4×D6111yescharacteristic
1447C4⋊C4C23×D6111yescharacteristic
1448C4⋊C4C23×D6111yescharacteristic
1449C4⋊C4C23×D6111yescharacteristic
1450C4⋊C4C23×D6111yescharacteristic
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—611no—
1460C22⋊C4—611no—
1461C22⋊C4—611no—
1462C22⋊C4—611no—
1463C22⋊C4—1221no—
1464C22⋊C4—1221no—
1465C22⋊C4—1221no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C42—21no—
1479C42—21no—
1480C42—611no—
1481C42—611no—
1482C42—611no—
1483C42—611no—
1484C42—611no—
1485C42—1221no—
1486C42—1221no—
1487C42—1221no—
1488C42—1221no—
1489C42—1221no—
1490C42—1221no—
1491C42—1221no—
1492C42—1221no—
1493C42—1221no—
1494C42—1221no—
1495C42—1221no—
1496C42—1221no—
1497C42—1221no—
1498C42C23×D6111yescharacteristic
1499C42C23×D6111yescharacteristic
1500C42C23×D6111yescharacteristic
1501C23—21no—
1502C23—21no—
1503C23—611no—
1504C23—1221no—
1505Q8—21no—
1506Q8—21no—
1507Q8—21no—
1508Q8—21no—
1509Q8—41no—
1510Q8—42no—
1511Q8—81no—
1512Q8—81no—
1513Q8—612no—
1514Q8—1222no—
1515Q8—1222no—
1516Q8—1221no—
1517Q8—1221no—
1518Q8—1221no—
1519Q8—1221no—
1520Q8—1221no—
1521Q8—4881no—
1522Q8—4881no—
1523Q8—4881no—
1524Q8—4881no—
1525Q8—2441no—
1526Q8—2442no—
1527Q8—2442no—
1528D4—21no—
1529D4—21no—
1530D4—21no—
1531D4—1224no—
1532D4—1221no—
1533D4—1221no—
1534D4—4881no—
1535D4—2442no—
1536D4—2442no—
1537D4—2442no—
1538D4#41×D6112yes—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—42no—
1546C2×C4—81no—
1547C2×C4—81no—
1548C2×C4—81no—
1549C2×C4—611no—
1550C2×C4—611no—
1551C2×C4—612no—
1552C2×C4—612no—
1553C2×C4—611no—
1554C2×C4—611no—
1555C2×C4—611no—
1556C2×C4—611no—
1557C2×C4—611no—
1558C2×C4—1222no—
1559C2×C4—1224no—
1560C2×C4—1221no—
1561C2×C4—1221no—
1562C2×C4—1221no—
1563C2×C4—1221no—
1564C2×C4—1221no—
1565C2×C4—1221no—
1566C2×C4—1221no—
1567C2×C4—4881no—
1568C2×C4—4881no—
1569C2×C4—4881no—
1570C2×C4—4881no—
1571C2×C4—4881no—
1572C2×C4—4881no—
1573C2×C4—4881no—
1574C2×C4—4881no—
1575C2×C4—2441no—
1576C2×C4—2442no—
1577C2×C4—2442no—
1578C2×C4—2442no—
1579C2×C4—2442no—
1580C2×C4C2×D4×D6111yescharacteristic
1581C2×C4C2×D4×D6111yescharacteristic
1582C2×C4C2×D4×D6111yescharacteristic
1583C2×C4C2×D4×D6111yescharacteristic
1584C2×C4C2×D4×D6111yescharacteristic
1585C2×C4C2×D4×D6111yescharacteristic
1586C2×C4C24×D6111yescharacteristic
1587C8—21no—
1588C8—21no—
1589C8—21no—
1590C8—21no—
1591C8—1221no—
1592C8—1221no—
1593C8—1221no—
1594C8—1221no—
1595C22—22no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—612no—
1602C22—1221no—
1603C22—1221no—
1604C22—2441no—
1605C22—2441no—
1606C22—2441no—
1607C22C22×D4×D6111yescharacteristic
1608C4—21no—
1609C4—21no—
1610C4—21no—
1611C4—21no—
1612C4—21no—
1613C4—21no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—612no—
1621C4—612no—
1622C4—1222no—
1623C4—1221no—
1624C4—1221no—
1625C4—1221no—
1626C4—1221no—
1627C4—1221no—
1628C4—2441no—
1629C4—2441no—
1630C4—2441no—
1631C4—2441no—
1632C4—2441no—
1633C4—2441no—
1634C4C2×#41×D6111yescharacteristic
1635C42−1+4×D6111yescharacteristic
1636C2—42no—
1637C2—81no—
1638C2—1222no—
1639C2—4881no—
1640C2#548×D6111yescharacteristic
1641C2#578×D6111yescharacteristic
1642C2#2146059511yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3367C2
socleC22×C61C23×D4
prime radical#21455271C2
hypercenter#3367D61
hypocenterC61#61348
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3367

Complements

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

NH ≅ G/Ntype
1. #21459680C2semidirect
2. #21459630C2semidirect
3. #21458668C2semidirect
4. #21458663C2semidirect
5. #21458660C2semidirect
6. #21458655C2semidirect
7. #21458636C2semidirect
8. #21458630C2semidirect
9. #21458601C2semidirect
10. #21458595C2semidirect
11. #21458538C2semidirect
12. #21458537C2semidirect
13. #21458532C2semidirect
14. #21458496C2semidirect
15. #21458494C2semidirect
16. #21458480C2semidirect
17. #21458474C2semidirect
18. #21456211C2semidirect
19. #21456181C2semidirect
20. #21456179C2semidirect
21. #21455667C2semidirect
22. #21455665C2semidirect
23. #477×D61C2semidirect
24. #21455370C2semidirect
25. #21455364C2semidirect
27. #21454764C2semidirect
28. #21454691C2semidirect
29. #21454689C2semidirect
30. #21454641C2semidirect
31. C61×#3367C2semidirect
828. #3367D61semidirect
1024. C61#61348semidirect

Maximal subgroups

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

subgroupindex
#214596802
#214596302
#214586682
#214586632
#214586602
#214586552
#214586362
#214586302
#214586012
#214585952
#214585382
#214585372
#214585322
#214584962
#214584942
#214584802
#214584742
#214562112
#214561812
#214561792
#214556672
#214556652
#477×D612
#214553702
#214553642
#214552712
#214547642
#214546912
#214546892
#214546412
C61×#33672
#6134861