Finite Group Databasebeta

← #30570956

Subgroups — #30570956

Order 15616.

1600 conjugacy classes of subgroups.

The subgroup lattice has 1554 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460312C211yesmaximal, characteristic, complemented
2#21459641C211yesmaximal, characteristic
3#21458787C211yesmaximal, characteristic, complemented
4#21458786C211yesmaximal, characteristic, complemented
5#21458785C211yesmaximal, characteristic, complemented
6#21458784C211yesmaximal, characteristic, complemented
7#21458769C211yesmaximal, characteristic, complemented
8#21458768C211yesmaximal, characteristic, complemented
9#21458761C211yesmaximal, characteristic, complemented
10#21458760C211yesmaximal, characteristic, complemented
11#21458626C211yesmaximal, characteristic, complemented
12#21458623C211yesmaximal, characteristic, complemented
13#21458620C211yesmaximal, characteristic, complemented
14#21458617C211yesmaximal, characteristic, complemented
15#21458604C211yesmaximal, characteristic, complemented
16#21458601C211yesmaximal, characteristic, complemented
17#21458598C211yesmaximal, characteristic, complemented
18#21458595C211yesmaximal, characteristic, complemented
19#21457091C211yesmaximal, characteristic, complemented
20#21457089C211yesmaximal, characteristic, complemented
21#21457083C211yesmaximal, characteristic, complemented
22#21457081C211yesmaximal, characteristic, complemented
23#21457024C211yesmaximal, characteristic, complemented
24#21457022C211yesmaximal, characteristic, complemented
25#21456034C211yesmaximal, characteristic
26#21456033C211yesmaximal, characteristic
27#21456026C211yesmaximal, characteristic
28#21455974C211yesmaximal, characteristic
29#21455974C211yesmaximal, characteristic
30#21454923C211yesmaximal, characteristic, complemented
31C61×#3120C211yesmaximal, characteristic
32C61⋊#564—21no—
33C61⋊#564—21no—
34#16840491C2211yescharacteristic
35#16840491C2211yescharacteristic
36#16840490C2211yescharacteristic
37#16840490C2211yescharacteristic
38#16840489—21no—
39#16840489—21no—
40#16840489C2211yescharacteristic
41#16840489C2211yescharacteristic
42#16840488C2211yescharacteristic
43#16840488C2211yescharacteristic
44#16840488C2211yescharacteristic
45#16840488C2211yescharacteristic
46#16840487C2211yescharacteristic
47#16840487C2211yescharacteristic
48#16840471—21no—
49#16840471—21no—
50#16840471C2211yescharacteristic
51#16840471C2211yescharacteristic
52#16840469—21no—
53#16840469—21no—
54#16840469C2211yescharacteristic
55#16840469C2211yescharacteristic
56#16840393—21no—
57#16840393C2211yescharacteristic
58#16840390—21no—
59#16840390C2211yescharacteristic
60#16840374C2211yescharacteristic
61#16840372C2211yescharacteristic
62#16840372C2211yescharacteristic
63#16840369—21no—
64#16840369—21no—
65#16840369—21no—
66#16840369—21no—
67#16840315—21no—
68#16840315C2211yescharacteristic
69#16840314C2211yescharacteristic
70#16840314C2211yescharacteristic
71C2×#14519768—21no—
72C2×#14519768C2211yescharacteristic
73#16840245C2211yescharacteristic
74#41×Dic61C2211yescharacteristic
75#16840172C2211yescharacteristic
76#16840171C2211yescharacteristic
77#16840170C2211yescharacteristic
78#16840170C2211yescharacteristic
79#16840170C2211yescharacteristic
80#16840169C2211yescharacteristic
81#16840169C2211yescharacteristic
82#16840169C2211yescharacteristic
83#16840164C2211yescharacteristic
84#16840163C2211yescharacteristic
85#16840162C2211yescharacteristic
86#16840161C2211yescharacteristic
87#16840131C2211yescharacteristic
88#16840130C2211yescharacteristic
89#16840129C2211yescharacteristic
90#16840129C2211yescharacteristic
91#16840129C2211yescharacteristic
92#16840129C2211yescharacteristic
93#16840129C2211yescharacteristic
94#16840129C2211yescharacteristic
95#16840113C2211yescharacteristic
96#16840112C2211yescharacteristic
97#16840111C2211yescharacteristic
98#16840111C2211yescharacteristic
99#16840104C2211yescharacteristic
100#16840104C2211yescharacteristic
101#16840100C2211yescharacteristic
102#16840100C2211yescharacteristic
103#16840098C2211yescharacteristic
104#16840097C2211yescharacteristic
105#16840095C2211yescharacteristic
106#16840093C2211yescharacteristic
107#16840092C2211yescharacteristic
108#16840090C2211yescharacteristic
109#16840072C2211yescharacteristic
110#16840072C2211yescharacteristic
111#16840072C2211yescharacteristic
112#16840071C2211yescharacteristic
113#16840071C2211yescharacteristic
114#16840071C2211yescharacteristic
115#16840071C2211yescharacteristic
116#16840070C2211yescharacteristic
117#16840070C2211yescharacteristic
118#16840069C2211yescharacteristic
119#16840069C2211yescharacteristic
120#16840069C2211yescharacteristic
121#16840068C2211yescharacteristic
122#16840068C2211yescharacteristic
123#16840068C2211yescharacteristic
124#16840067C2211yescharacteristic
125#16840067C2211yescharacteristic
126#16840067C2211yescharacteristic
127#16840067C2211yescharacteristic
128#16840064C2211yescharacteristic
129#16840062C2211yescharacteristic
130#16840060C2211yescharacteristic
131#16840058C2211yescharacteristic
132#16840057C2211yescharacteristic
133#16840056C2211yescharacteristic
134#16840055C2211yescharacteristic
135#16840055C2211yescharacteristic
136#16840055C2211yescharacteristic
137#16840050C2211yescharacteristic
138#16840050C2211yescharacteristic
139#16840048C2211yescharacteristic
140#16840047C2211yescharacteristic
141#16840046C2211yescharacteristic
142#16840045C2211yescharacteristic
143#16839972C2211yescharacteristic
144#16839970C2211yescharacteristic
145#16839970C2211yescharacteristic
146#16839970C2211yescharacteristic
147#16839970C2211yescharacteristic
148#16839967C2211yescharacteristic
149#16839965C2211yescharacteristic
150#16839965C2211yescharacteristic
151#16839965C2211yescharacteristic
152#16839965C2211yescharacteristic
153#16839924C2211yescharacteristic
154#16839924C2211yescharacteristic
155#16839892C2211yescharacteristic
156#16839892C2211yescharacteristic
157#16839891C2211yescharacteristic
158#16839891C2211yescharacteristic
159#16839890C2211yescharacteristic
160#16839890C2211yescharacteristic
161#16839889C2211yescharacteristic
162#16839889C2211yescharacteristic
163#16839869C2211yescharacteristic
164#16839869C2211yescharacteristic
165#16839869C2211yescharacteristic
166#16839867C2211yescharacteristic
167#16839866C2211yescharacteristic
168#16839866C2211yescharacteristic
169#16839866C2211yescharacteristic
170#16839863C2211yescharacteristic
171#16839863C2211yescharacteristic
172#16839863C2211yescharacteristic
173#16839862C2211yescharacteristic
174#16839859C2211yescharacteristic
175#16839859C2211yescharacteristic
176#16839859C2211yescharacteristic
177Q16×Dic61C2211yescharacteristic
178C4×#11758202C2211yescharacteristic
179#16839854C2211yescharacteristic
180#16839853C2211yescharacteristic
181SD16×Dic61C2211yescharacteristic
182C4×#11758200C2211yescharacteristic
183#16839823C2211yescharacteristic
184#16839820C2211yescharacteristic
185#16839820C2211yescharacteristic
186#16839816C2211yescharacteristic
187#16839816C2211yescharacteristic
188C61×#541C2211yescharacteristic
189C61×#520C2211yescharacteristic
190C61×#484C2211yescharacteristic
191C61×#483C2211yescharacteristic
192C61×#479C2211yescharacteristic
193C61×#478C2211yescharacteristic
194C61×#462C2211yescharacteristic
195C61×#461C2211yescharacteristic
196C61×#452C2211yescharacteristic
197C61×#452C2211yescharacteristic
198C61×#441C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C4×Q16×C61C2211yescharacteristic
201C4×SD16×C61C2211yescharacteristic
202C61×#433C2211yescharacteristic
203C2×#11758202C2311yescharacteristic
204C2×#11758202C2311yescharacteristic
205C2×#11758200C2311yescharacteristic
206C2×#11758200C2311yescharacteristic
207#14519777—21no—
208#14519777—21no—
209#14519777C2311yescharacteristic
210#14519777C2311yescharacteristic
211#14519777C2311yescharacteristic
212#14519776—21no—
213#14519776—21no—
214#14519776—21no—
215#14519776—21no—
216#14519776—21no—
217#14519776—21no—
218#14519776—21no—
219#14519776—21no—
220#14519776D411yescharacteristic
221#14519776D411yescharacteristic
222#14519776C2311yescharacteristic
223#14519776C2311yescharacteristic
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519775C2311yescharacteristic
227#14519775C2311yescharacteristic
228#14519775C2311yescharacteristic
229#14519775C2311yescharacteristic
230#14519770—21no—
231#14519770—21no—
232#14519770—21no—
233#14519770—21no—
234#14519770—21no—
235#14519770—21no—
236#14519769—21no—
237#14519769—21no—
238#14519769—21no—
239#14519769—21no—
240#14519769—21no—
241#14519769—21no—
242#14519769C2311yescharacteristic
243#14519769C2311yescharacteristic
244#14519769C2311yescharacteristic
245#14519768—21no—
246#14519768—21no—
247#14519768—21no—
248#14519768—21no—
249#14519768—21no—
250#14519768—21no—
251#14519768—21no—
252#14519768—21no—
253#14519768—21no—
254#14519768—21no—
255#14519768—21no—
256#14519768—21no—
257#14519768—21no—
258#14519768—21no—
259#14519768—21no—
260#14519768—21no—
261#14519768D411yescharacteristic
262#14519768D411yescharacteristic
263#14519768C2311yescharacteristic
264#14519768C2311yescharacteristic
265#14519768C2311yescharacteristic
266#14519768C2311yescharacteristic
267#14519768C2311yescharacteristic
268#14519768C2311yescharacteristic
269#14519768C2311yescharacteristic
270#14519768C2311yescharacteristic
271#14519767—21no—
272#14519767—21no—
273#14519767—21no—
274#14519767—21no—
275#14519767—21no—
276#14519767—21no—
277#14519767—21no—
278#14519767—21no—
279#14519767—21no—
280#14519767—21no—
281#14519767—21no—
282#14519767—21no—
283#14519767—21no—
284#14519767—21no—
285#14519767—21no—
286#14519767—21no—
287#14519767—21no—
288#14519767—21no—
289#14519756—21no—
290#14519756—21no—
291#14519756—21no—
292#14519756—21no—
293#14519756—21no—
294#14519756—21no—
295#14519756C2311yescharacteristic
296#14519756C2311yescharacteristic
297#14519754—21no—
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#14519754—21no—
308#14519754—21no—
309#14519754D411yescharacteristic
310#14519754D411yescharacteristic
311#14519754D411yescharacteristic
312#14519754D411yescharacteristic
313Q8×Dic61C2311yescharacteristic
314Q8×Dic61C2311yescharacteristic
315Q8×Dic61C2311yescharacteristic
316Q8×Dic61C2311yescharacteristic
317Q8×Dic61C2311yescharacteristic
318Q8×Dic61C2311yescharacteristic
319Q8×Dic61C2311yescharacteristic
320Q8×Dic61C2311yescharacteristic
321C4×Dic122—21no—
322C4×Dic122—21no—
323C4×Dic122—21no—
324C4×Dic122—21no—
325C4×Dic122—21no—
326C4×Dic122—21no—
327C4×Dic122—21no—
328C4×Dic122—21no—
329C4×Dic122C2311yescharacteristic
330C4×Dic122C2311yescharacteristic
331C4×Dic122C2311yescharacteristic
332C4×Dic122C2311yescharacteristic
333C4×Dic122C2311yescharacteristic
334C4×Dic122C2311yescharacteristic
335#14519742—21no—
336#14519742—21no—
337#14519742—21no—
338#14519742—21no—
339#14519742—21no—
340#14519742—21no—
341#14519742C2311yescharacteristic
342#14519742C2311yescharacteristic
343#14519742C2311yescharacteristic
344#14519742C2311yescharacteristic
345D4×Dic61—21no—
346D4×Dic61—21no—
347D4×Dic61—21no—
348D4×Dic61—21no—
349D4×Dic61C2311yescharacteristic
350D4×Dic61C2311yescharacteristic
351D4×Dic61C2311yescharacteristic
352D4×Dic61C2311yescharacteristic
353#14519736—21no—
354#14519736—21no—
355#14519736C2311yescharacteristic
356#14519736C2311yescharacteristic
357#14519733—21no—
358#14519733—21no—
359C2×C4⋊Dic61—21no—
360C2×C4⋊Dic61—21no—
361C2×C4⋊Dic61—21no—
362C2×C4⋊Dic61—21no—
363C2×C4⋊Dic61C2311yescharacteristic
364C2×#11758196—21no—
365C2×#11758196—21no—
366C2×#11758196—21no—
367C2×C4×Dic61—21no—
368C2×C4×Dic61C2311yescharacteristic
369#14519711C2311yescharacteristic
370#14519711C2311yescharacteristic
371#14519711C2311yescharacteristic
372#14519711C2311yescharacteristic
373#14519710C2311yescharacteristic
374#14519710C2311yescharacteristic
375#14519710C2311yescharacteristic
376#14519710C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519709C2311yescharacteristic
380#14519709C2311yescharacteristic
381#14519709C2311yescharacteristic
382#14519709C2311yescharacteristic
383#14519708C2311yescharacteristic
384#14519708C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389C4⋊#92418C2311yescharacteristic
390C4⋊#92418C2311yescharacteristic
391#14519706C2311yescharacteristic
392#14519706C2311yescharacteristic
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#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423C22⋊#92418C2311yescharacteristic
424C22⋊#92418C2311yescharacteristic
425#14519688C2311yescharacteristic
426#14519687C2311yescharacteristic
427#14519687C2311yescharacteristic
428#14519687C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432C4×#92418C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×#41×C61C2311yescharacteristic
436C2×Q16×C61C2311yescharacteristic
437C2×Q16×C61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C2×SD16×C61C2311yescharacteristic
440C4⋊Q8×C61C2311yescharacteristic
441#126×C61—21no—
442#126×C61—21no—
443#125×C61—21no—
444#125×C61—21no—
445#125×C61C2311yescharacteristic
446C22⋊Q8×C61C2311yescharacteristic
447C22⋊Q8×C61C2311yescharacteristic
448C4×Q8×C61C2311yescharacteristic
449C4×Q8×C61C2311yescharacteristic
450C4×Q8×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×D4×C61—21no—
453C4×D4×C61—21no—
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456#117×C61—21no—
457#117×C61C2311yescharacteristic
458C2×C4⋊C4×C61—21no—
459C2×C4⋊C4×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474C22⋊C8×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478#41×C61—22no—
479#41×C61—22no—
480C2×Q8×C61C2411yescharacteristic
481C2×Q8×C61C2411yescharacteristic
482C2×Q8×C61C2411yescharacteristic
483C2×D4×C61—21no—
484C2×D4×C61C2411yescharacteristic
485C22×C4×C61—21no—
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61C2411yescharacteristic
490C22×Dic61—21no—
491C22×Dic61—21no—
492C22×Dic61—21no—
493C22×Dic61—21no—
494C22×Dic61—21no—
495C22×Dic61C2×D411yescharacteristic
496C22×Dic61C2×D411yescharacteristic
497C2×Dic122—21no—
498C2×Dic122—21no—
499C2×Dic122—21no—
500C2×Dic122—21no—
501C2×Dic122—21no—
502C2×Dic122—21no—
503C2×Dic122C2×D411yescharacteristic
504C2×Dic122C2×D411yescharacteristic
505C2×Dic122C2×D411yescharacteristic
506C2×Dic122C2×D411yescharacteristic
507C2×Dic122C2411yescharacteristic
508C2×Dic122C2411yescharacteristic
509Q16×C61—22no—
510Q16×C61—22no—
511SD16×C61—22no—
512SD16×C61—22no—
513C2×C8×C61C2411yescharacteristic
514C2×C8×C61C2411yescharacteristic
515C2×C8×C61C2411yescharacteristic
516C2×C8×C61C2411yescharacteristic
517C4⋊C4×C61—21no—
518C4⋊C4×C61—21no—
519C4⋊C4×C61—21no—
520C4⋊C4×C61—21no—
521C4⋊C4×C61—21no—
522C4⋊C4×C61—21no—
523C4⋊C4×C61—21no—
524C4⋊C4×C61—21no—
525C4⋊C4×C61—21no—
526C4⋊C4×C61—21no—
527C4⋊C4×C61—21no—
528C4⋊C4×C61C2×D411yescharacteristic
529C4⋊C4×C61C2×D411yescharacteristic
530C4⋊C4×C61C2411yescharacteristic
531C4⋊C4×C61C2411yescharacteristic
532C4⋊C4×C61C2411yescharacteristic
533C4⋊C4×C61C2411yescharacteristic
534C22⋊C4×C61—21no—
535C22⋊C4×C61—21no—
536C22⋊C4×C61—21no—
537C22⋊C4×C61—21no—
538C22⋊C4×C61C2×D411yescharacteristic
539C22⋊C4×C61C2×D411yescharacteristic
540C42×C61—21no—
541C42×C61—21no—
542C42×C61—21no—
543C42×C61—21no—
544C42×C61C2411yescharacteristic
545C42×C61C2411yescharacteristic
546C22⋊Dic61—21no—
547C22⋊Dic61—21no—
548C22⋊Dic61—21no—
549C22⋊Dic61—21no—
550C22⋊Dic61—21no—
551C22⋊Dic61—21no—
552C22⋊Dic61—21no—
553C22⋊Dic61C2×D411yescharacteristic
554C22⋊Dic61C2×D411yescharacteristic
555#11758202—22no—
556#11758202—22no—
557#11758200—22no—
558#11758200—22no—
559C4⋊Dic61—21no—
560C4⋊Dic61—21no—
561C4⋊Dic61—21no—
562C4⋊Dic61—21no—
563C4⋊Dic61—21no—
564C4⋊Dic61—21no—
565C4⋊Dic61—21no—
566C4⋊Dic61—21no—
567C4⋊Dic61—21no—
568C4⋊Dic61—21no—
569C4⋊Dic61—21no—
570C4⋊Dic61—21no—
571C4⋊Dic61—21no—
572C4⋊Dic61—21no—
573C4⋊Dic61—21no—
574C4⋊Dic61—21no—
575C4⋊Dic61—21no—
576C4⋊Dic61—21no—
577C4⋊Dic61—21no—
578C4⋊Dic61—21no—
579C4⋊Dic61—21no—
580C4⋊Dic61C2×D411yescharacteristic
581C4⋊Dic61C2×D411yescharacteristic
582C4⋊Dic61C2×D411yescharacteristic
583C4⋊Dic61C2×D411yescharacteristic
584C4⋊Dic61C2×D411yescharacteristic
585C4⋊Dic61C2×D411yescharacteristic
586C4⋊Dic61C2411yescharacteristic
587C4⋊Dic61C2411yescharacteristic
588C4⋊Dic61C2411yescharacteristic
589C4⋊Dic61C2411yescharacteristic
590C4⋊Dic61C2411yescharacteristic
591C4⋊Dic61C2411yescharacteristic
592#11758196—21no—
593#11758196—21no—
594#11758196—21no—
595#11758196—21no—
596#11758196—21no—
597#11758196—21no—
598#11758196—21no—
599#11758196—21no—
600#11758196—21no—
601#11758196—21no—
602#11758196—21no—
603#11758196—21no—
604#11758196—21no—
605#11758196—21no—
606#11758196—21no—
607#11758196—21no—
608#11758196—21no—
609#11758196—21no—
610#11758196—21no—
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#11758196C2×D411yescharacteristic
627#11758196C2×D411yescharacteristic
628#11758196C2×D411yescharacteristic
629#11758196C2×D411yescharacteristic
630#11758196C2×D411yescharacteristic
631#11758196C2×D411yescharacteristic
632#11758196C2×D411yescharacteristic
633#11758196C2×D411yescharacteristic
634C4×Dic61—21no—
635C4×Dic61—21no—
636C4×Dic61—21no—
637C4×Dic61—21no—
638C4×Dic61—21no—
639C4×Dic61—21no—
640C4×Dic61—21no—
641C4×Dic61—21no—
642C4×Dic61—21no—
643C4×Dic61—21no—
644C4×Dic61—21no—
645C4×Dic61—21no—
646C4×Dic61—21no—
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61C2×D411yescharacteristic
650C4×Dic61C2×D411yescharacteristic
651C4×Dic61C2411yescharacteristic
652C4×Dic61C2411yescharacteristic
653C4×Dic61C2411yescharacteristic
654C4×Dic61C2411yescharacteristic
655C2×#92418C2411yescharacteristic
656C2×#92418C2411yescharacteristic
657C2×#92418C2411yescharacteristic
658C2×#92418C2411yescharacteristic
659C23×C61—21no—
660C23×C61C22×D411yescharacteristic
661Q8×C61—21no—
662Q8×C61—21no—
663Q8×C61—21no—
664Q8×C61—21no—
665Q8×C61—21no—
666Q8×C612−1+412yes—
667D4×C61—24no—
668D4×C61—21no—
669D4×C612−1+412yes—
670C2×C4×C61—24no—
671C2×C4×C61—21no—
672C2×C4×C61—21no—
673C2×C4×C61—21no—
674C2×C4×C61—21no—
675C2×C4×C61—21no—
676C2×C4×C61—21no—
677C2×C4×C61—21no—
678C2×C4×C61—21no—
679C2×C4×C61—21no—
680C2×C4×C61—81no—
681C2×C4×C61—81no—
682C2×C4×C61—81no—
683C2×C4×C61C22×D411yescharacteristic
684C2×C4×C61C22×D411yescharacteristic
685C2×C4×C61C22×D411yescharacteristic
686C2×C4×C61C22×D411yescharacteristic
687C2×C4×C61C22×D411yescharacteristic
688C2×C4×C61C2511yescharacteristic
689C2×Dic61—21no—
690C2×Dic61—21no—
691C2×Dic61—21no—
692C2×Dic61—21no—
693C2×Dic61—21no—
694C2×Dic61—21no—
695C2×Dic61—21no—
696C2×Dic61—21no—
697C2×Dic61—41no—
698C2×Dic61—41no—
699C2×Dic61—81no—
700C2×Dic61—81no—
701C2×Dic61—81no—
702C2×Dic61—81no—
703C2×Dic61—81no—
704C2×Dic61C22×D411yescharacteristic
705C2×Dic61C22×D411yescharacteristic
706C2×Dic61C22×D411yescharacteristic
707C2×Dic61C22×D411yescharacteristic
708C2×Dic61C22×D411yescharacteristic
709C2×Dic61C22×D411yescharacteristic
710C2×Dic61C22×D411yescharacteristic
711C2×Dic61C22×D411yescharacteristic
712Dic122—21no—
713Dic122—21no—
714Dic122—21no—
715Dic122—21no—
716Dic122—41no—
717Dic122—41no—
718Dic122—41no—
719Dic122—41no—
720Dic122—42no—
721Dic122—42no—
722Dic122—81no—
723Dic122—81no—
724Dic122—81no—
725Dic122—81no—
726C8×C61—21no—
727C8×C61—21no—
728C8×C61—21no—
729C8×C61—21no—
730#92418—21no—
731#92418—21no—
732#92418—21no—
733#92418—21no—
734#61877—611nomaximal, Sylow
735C22×C61—21no—
736C22×C61—21no—
737C22×C61—21no—
738C22×C61—22no—
739C22×C61—41no—
740C22×C61—41no—
741C22×C61C23×D411yescharacteristic
742C4×C61—21no—
743C4×C61—21no—
744C4×C61—21no—
745C4×C61—21no—
746C4×C61—21no—
747C4×C61—22no—
748C4×C61—41no—
749C4×C61—41no—
750C4×C61—41no—
751C4×C61—41no—
752C4×C61—41no—
753C4×C61—41no—
754C4×C61C2×2−1+411yescharacteristic
755C4×C61C2×2−1+411yescharacteristic
756Dic61—21no—
757Dic61—21no—
758Dic61—21no—
759Dic61—21no—
760Dic61—21no—
761Dic61—21no—
762Dic61—21no—
763Dic61—21no—
764Dic61—41no—
765Dic61—41no—
766Dic61—41no—
767Dic61—41no—
768Dic61—41no—
769Dic61—41no—
770Dic61—41no—
771Dic61—41no—
772#3556—611no—
773#3504—611no—
774#3390—611no—
775#3390—611no—
776#3390—611no—
777#3390—611no—
778#3388—611no—
779#3388—611no—
780#3388—611no—
781#3388—611no—
782#3374—611no—
783#3374—611no—
784#3374—611no—
785#3374—611no—
786#3372—611no—
787#3372—611no—
788#3372—611no—
789#3372—611no—
790#3242—611no—
791#3242—611no—
792#3242—611no—
793#3242—611no—
794#3236—611no—
795#3236—611no—
796#3120—611no—
797#3120—611no—
798#3120—611no—
799#3120D6111yescharacteristic
800#3116—611no—
801#3116—611no—
802#2987—611no—
803C2×C61—41no—
804C2×C61—42no—
805C2×C61#348611yescharacteristic
806C2×C61#358611yescharacteristic
807C2×C61#358611yescharacteristic
808#564—1221no—
809#564—1221no—
810#557—611no—
811#557—611no—
812#557—611no—
813#557—611no—
814#557—611no—
815#557—611no—
816#557—611no—
817#557—611no—
818#557—611no—
819#557—611no—
820#557—611no—
821#557—611no—
822#557—1221no—
823#557—1221no—
824#554—611no—
825#554—611no—
826#554—611no—
827#554—611no—
828#554—1221no—
829#554—1221no—
830#554—1221no—
831#554—1221no—
832#544—611no—
833#544—611no—
834#544—1221no—
835#544—1221no—
836#541—611no—
837#541—611no—
838#541—611no—
839#541—1221no—
840#541—1221no—
841#541—1221no—
842#541—1221no—
843#541C2×D6111yescharacteristic
844#533—611no—
845#533—611no—
846#533—611no—
847#533—1221no—
848C2×#125—611no—
849C2×#125—1221no—
850#520—611no—
851#520C2×D6111yescharacteristic
852C4×#41—611no—
853#501—611no—
854#501—611no—
855#501—611no—
856#501—611no—
857#501—611no—
858#501—611no—
859#501—611no—
860#501—611no—
861#499—611no—
862#499—611no—
863#499—611no—
864#499—611no—
865#491—611no—
866#491—611no—
867#491—611no—
868#491—611no—
869#491—611no—
870#491—611no—
871#491—611no—
872#491—611no—
873#487—611no—
874#487—611no—
875#487—611no—
876#487—611no—
877#485—611no—
878#485—611no—
879#485—611no—
880#485—611no—
881#484—611no—
882#484—611no—
883#484—611no—
884#484C2×D6111yescharacteristic
885#483—611no—
886#483—611no—
887#483—611no—
888#483C2×D6111yescharacteristic
889#479—611no—
890#479—611no—
891#479—611no—
892#479—611no—
893#479—611no—
894#479—611no—
895#479—611no—
896#479—611no—
897#479—611no—
898#479—611no—
899#479—611no—
900#479—611no—
901#479—611no—
902#479—611no—
903#479—611no—
904#479—611no—
905#479—611no—
906#479—611no—
907#479—611no—
908#479C2×D6111yescharacteristic
909#478—611no—
910#478—611no—
911#478—611no—
912#478C2×D6111yescharacteristic
913#477—611no—
914#477—611no—
915#477—611no—
916#477—611no—
917#477—611no—
918#477—611no—
919#476—611no—
920#476—611no—
921#475—611no—
922#475—611no—
923#475—611no—
924#475—611no—
925#462—611no—
926#462—611no—
927#462—611no—
928#462—611no—
929#462—611no—
930#462C2×D6111yescharacteristic
931#461—611no—
932#461—611no—
933#461—611no—
934#461—611no—
935#461—611no—
936#461C2×D6111yescharacteristic
937#452—611no—
938#452—611no—
939#452C2×D6111yescharacteristic
940#452C2×D6111yescharacteristic
941#446—611no—
942#446—611no—
943#446—611no—
944#446—611no—
945#446—611no—
946#446—611no—
947#446—611no—
948#446—611no—
949#441—611no—
950#441—611no—
951#441—611no—
952#441—611no—
953#441—611no—
954#441—611no—
955#441—611no—
956#441C2×D6111yescharacteristic
957#440—611no—
958#440—611no—
959#440—611no—
960#440—611no—
961#440—611no—
962#440—611no—
963#440—611no—
964#440C2×D6111yescharacteristic
965C4×Q16—611no—
966C4×Q16—611no—
967C4×Q16—611no—
968C4×Q16C2×D6111yescharacteristic
969C4×SD16—611no—
970C4×SD16—611no—
971C4×SD16—611no—
972C4×SD16C2×D6111yescharacteristic
973#433—611no—
974#433—611no—
975#433—611no—
976#433C2×D6111yescharacteristic
977#432—611no—
978#432—611no—
979C61#6187711yescharacteristic, complemented, Sylow
980C2×#41C22×D6111yescharacteristic
981C2×Q16—611no—
982C2×Q16—611no—
983C2×Q16C22×D6111yescharacteristic
984C2×Q16C22×D6111yescharacteristic
985C2×SD16—611no—
986C2×SD16—611no—
987C2×SD16C22×D6111yescharacteristic
988C2×SD16C22×D6111yescharacteristic
989C4⋊Q8—611no—
990C4⋊Q8—611no—
991C4⋊Q8—611no—
992C4⋊Q8—611no—
993C4⋊Q8—611no—
994C4⋊Q8—611no—
995C4⋊Q8—611no—
996C4⋊Q8—611no—
997C4⋊Q8—611no—
998C4⋊Q8—611no—
999C4⋊Q8—611no—
1000C4⋊Q8—611no—
1001C4⋊Q8—611no—
1002C4⋊Q8—1221no—
1003C4⋊Q8—1221no—
1004C4⋊Q8—1221no—
1005C4⋊Q8—1221no—
1006C4⋊Q8—1221no—
1007C4⋊Q8—1221no—
1008C4⋊Q8—1221no—
1009C4⋊Q8—1221no—
1010C4⋊Q8—1221no—
1011C4⋊Q8—1221no—
1012C4⋊Q8C22×D6111yescharacteristic
1013#126—21no—
1014#126—21no—
1015#126—1221no—
1016#126—1221no—
1017#126—1221no—
1018#126—1221no—
1019#126—1221no—
1020#126—1221no—
1021#125—21no—
1022#125—21no—
1023#125—611no—
1024#125—611no—
1025#125—611no—
1026#125—611no—
1027#125—611no—
1028#125—611no—
1029#125—611no—
1030#125—611no—
1031#125—611no—
1032#125—611no—
1033#125—611no—
1034#125—611no—
1035#125—611no—
1036#125—1221no—
1037#125—1221no—
1038#125—1221no—
1039#125—1221no—
1040#125—1221no—
1041#125—1221no—
1042#125—1221no—
1043#125—1221no—
1044#125—1221no—
1045#125—1221no—
1046#125—1221no—
1047#125—1221no—
1048#125—1221no—
1049#125—1221no—
1050#125—1221no—
1051#125—1221no—
1052#125—1221no—
1053#125—1221no—
1054#125—1221no—
1055#125—1221no—
1056#125—1221no—
1057#125—1221no—
1058#125—1221no—
1059#125—1221no—
1060#125—1221no—
1061#125—1221no—
1062#125—1221no—
1063#125—1221no—
1064#125—1221no—
1065#125—1221no—
1066#125—1221no—
1067#125—1221no—
1068#125—1221no—
1069#125—1221no—
1070#125—1221no—
1071#125—1221no—
1072#125—1221no—
1073#125—1221no—
1074#125—1221no—
1075#125—1221no—
1076#125C22×D6111yescharacteristic
1077C22⋊Q8—611no—
1078C22⋊Q8—611no—
1079C22⋊Q8—611no—
1080C22⋊Q8—611no—
1081C22⋊Q8—611no—
1082C22⋊Q8—611no—
1083C22⋊Q8—1221no—
1084C22⋊Q8—1221no—
1085C22⋊Q8—1221no—
1086C22⋊Q8—1221no—
1087C22⋊Q8—1221no—
1088C22⋊Q8—1221no—
1089C22⋊Q8—1221no—
1090C22⋊Q8—1221no—
1091C22⋊Q8—1221no—
1092C22⋊Q8—1221no—
1093C22⋊Q8—1221no—
1094C22⋊Q8—1221no—
1095C22⋊Q8—1221no—
1096C22⋊Q8—1221no—
1097C22⋊Q8—1221no—
1098C22⋊Q8—1221no—
1099C22⋊Q8—1221no—
1100C22⋊Q8—1221no—
1101C22⋊Q8C22×D6111yescharacteristic
1102C22⋊Q8C22×D6111yescharacteristic
1103C4×Q8—611no—
1104C4×Q8—611no—
1105C4×Q8—611no—
1106C4×Q8—611no—
1107C4×Q8—611no—
1108C4×Q8—611no—
1109C4×Q8—611no—
1110C4×Q8—611no—
1111C4×Q8—611no—
1112C4×Q8—611no—
1113C4×Q8—611no—
1114C4×Q8—611no—
1115C4×Q8—611no—
1116C4×Q8—611no—
1117C4×Q8—611no—
1118C4×Q8—611no—
1119C4×Q8—611no—
1120C4×Q8—611no—
1121C4×Q8—1221no—
1122C4×Q8—1221no—
1123C4×Q8—1221no—
1124C4×Q8—1221no—
1125C4×Q8—1221no—
1126C4×Q8—1221no—
1127C4×Q8—1221no—
1128C4×Q8—1221no—
1129C4×Q8—1221no—
1130C4×Q8—1221no—
1131C4×Q8—1221no—
1132C4×Q8—1221no—
1133C4×Q8—1221no—
1134C4×Q8—1221no—
1135C4×Q8C22×D6111yescharacteristic
1136C4×Q8C22×D6111yescharacteristic
1137C4×Q8C22×D6111yescharacteristic
1138C4×Q8C22×D6111yescharacteristic
1139C4×D4—21no—
1140C4×D4—21no—
1141C4×D4—611no—
1142C4×D4—611no—
1143C4×D4—611no—
1144C4×D4—611no—
1145C4×D4—1221no—
1146C4×D4—1221no—
1147C4×D4—1221no—
1148C4×D4—1221no—
1149C4×D4C22×D6111yescharacteristic
1150C4×D4C22×D6111yescharacteristic
1151#117—21no—
1152#117—611no—
1153#117—611no—
1154#117—1221no—
1155#117—1221no—
1156#117—1221no—
1157#117—1221no—
1158#117C22×D6111yescharacteristic
1159C2×C4⋊C4—21no—
1160C2×C4⋊C4—611no—
1161C2×C4⋊C4—1221no—
1162C2×C4⋊C4—1221no—
1163C2×C4⋊C4—1221no—
1164C2×C4⋊C4—1221no—
1165C2×C4⋊C4—1221no—
1166C2×C4⋊C4—1221no—
1167C2×C4⋊C4—1221no—
1168C2×C4⋊C4C22×D6111yescharacteristic
1169C2×C42—611no—
1170C2×C42—1221no—
1171#107—611no—
1172#107—611no—
1173#107—611no—
1174#107—611no—
1175#107—611no—
1176#107—611no—
1177#107—611no—
1178#107—611no—
1179#107—611no—
1180#107—611no—
1181#107C22×D6111yescharacteristic
1182#107C22×D6111yescharacteristic
1183#106—611no—
1184#106—611no—
1185#106—611no—
1186#106—611no—
1187#106—611no—
1188#106—611no—
1189#106—611no—
1190#106—611no—
1191#106—611no—
1192#106—611no—
1193#106C22×D6111yescharacteristic
1194#106C22×D6111yescharacteristic
1195C4⋊C8—611no—
1196C4⋊C8—611no—
1197C4⋊C8—611no—
1198C4⋊C8—611no—
1199C4⋊C8—611no—
1200C4⋊C8—611no—
1201C4⋊C8—611no—
1202C4⋊C8—611no—
1203C4⋊C8—611no—
1204C4⋊C8—611no—
1205C4⋊C8C22×D6111yescharacteristic
1206C4⋊C8C22×D6111yescharacteristic
1207#103—611no—
1208#103—611no—
1209#103—611no—
1210#103—611no—
1211#103—611no—
1212#103—611no—
1213#103—611no—
1214#103—611no—
1215#103—611no—
1216#103—611no—
1217#103—611no—
1218#103—611no—
1219#103—611no—
1220#103—611no—
1221#103—611no—
1222#103—611no—
1223#103—611no—
1224#103—611no—
1225#103—611no—
1226#103—611no—
1227#103—611no—
1228#103—611no—
1229#103C22×D6111yescharacteristic
1230#103C22×D6111yescharacteristic
1231#103C22×D6111yescharacteristic
1232#103C22×D6111yescharacteristic
1233#103C22×D6111yescharacteristic
1234#103C22×D6111yescharacteristic
1235#102—611no—
1236#102—611no—
1237#102C22×D6111yescharacteristic
1238#102C22×D6111yescharacteristic
1239C22⋊C8—611no—
1240C22⋊C8—611no—
1241C22⋊C8C22×D6111yescharacteristic
1242C22⋊C8C22×D6111yescharacteristic
1243#97—611no—
1244#97—611no—
1245#97—611no—
1246#97—611no—
1247#97—611no—
1248#97—611no—
1249#97—611no—
1250#97C22×D6111yescharacteristic
1251C4×C8—611no—
1252C4×C8—611no—
1253C4×C8—611no—
1254C4×C8C22×D6111yescharacteristic
1255#41—22no—
1256#41—22no—
1257C2×Q8—611no—
1258C2×Q8—611no—
1259C2×Q8—611no—
1260C2×Q8—611no—
1261C2×Q8—611no—
1262C2×Q8—611no—
1263C2×Q8—1221no—
1264C2×Q8—1221no—
1265C2×Q8—1221no—
1266C2×Q8—1221no—
1267C2×Q8—1221no—
1268C2×Q8—1221no—
1269C2×Q8C23×D6111yescharacteristic
1270C2×Q8C23×D6111yescharacteristic
1271C2×Q8C23×D6111yescharacteristic
1272C2×D4—21no—
1273C2×D4C23×D6111yescharacteristic
1274C22×C4—21no—
1275C22×C4—21no—
1276C22×C4—21no—
1277C22×C4—21no—
1278C22×C4—611no—
1279C22×C4—611no—
1280C22×C4—1221no—
1281C22×C4—1221no—
1282C22×C4—1221no—
1283C22×C4—1221no—
1284C22×C4—1221no—
1285C22×C4C23×D6111yescharacteristic
1286Q16—22no—
1287Q16—22no—
1288Q16—1222no—
1289Q16—1222no—
1290SD16—22no—
1291SD16—22no—
1292SD16—1222no—
1293SD16—1222no—
1294C2×C8—611no—
1295C2×C8—611no—
1296C2×C8—611no—
1297C2×C8—611no—
1298C2×C8C23×D6111yescharacteristic
1299C2×C8C23×D6111yescharacteristic
1300C2×C8C23×D6111yescharacteristic
1301C2×C8C23×D6111yescharacteristic
1302C4⋊C4—21no—
1303C4⋊C4—21no—
1304C4⋊C4—21no—
1305C4⋊C4—21no—
1306C4⋊C4—21no—
1307C4⋊C4—21no—
1308C4⋊C4—21no—
1309C4⋊C4—21no—
1310C4⋊C4—21no—
1311C4⋊C4—21no—
1312C4⋊C4—21no—
1313C4⋊C4—611no—
1314C4⋊C4—611no—
1315C4⋊C4—611no—
1316C4⋊C4—611no—
1317C4⋊C4—611no—
1318C4⋊C4—611no—
1319C4⋊C4—611no—
1320C4⋊C4—611no—
1321C4⋊C4—611no—
1322C4⋊C4—611no—
1323C4⋊C4—611no—
1324C4⋊C4—611no—
1325C4⋊C4—611no—
1326C4⋊C4—611no—
1327C4⋊C4—611no—
1328C4⋊C4—611no—
1329C4⋊C4—611no—
1330C4⋊C4—611no—
1331C4⋊C4—611no—
1332C4⋊C4—611no—
1333C4⋊C4—1221no—
1334C4⋊C4—1221no—
1335C4⋊C4—1221no—
1336C4⋊C4—1221no—
1337C4⋊C4—1221no—
1338C4⋊C4—1221no—
1339C4⋊C4—1221no—
1340C4⋊C4—1221no—
1341C4⋊C4—1221no—
1342C4⋊C4—1221no—
1343C4⋊C4—1221no—
1344C4⋊C4—1221no—
1345C4⋊C4—1221no—
1346C4⋊C4—1221no—
1347C4⋊C4—1221no—
1348C4⋊C4—1221no—
1349C4⋊C4—1221no—
1350C4⋊C4—1221no—
1351C4⋊C4—1221no—
1352C4⋊C4—1221no—
1353C4⋊C4—1221no—
1354C4⋊C4—1221no—
1355C4⋊C4—1221no—
1356C4⋊C4—1221no—
1357C4⋊C4—1221no—
1358C4⋊C4—1221no—
1359C4⋊C4—1221no—
1360C4⋊C4—1221no—
1361C4⋊C4—1221no—
1362C4⋊C4—1221no—
1363C4⋊C4—1221no—
1364C4⋊C4—1221no—
1365C4⋊C4—1221no—
1366C4⋊C4—1221no—
1367C4⋊C4—1221no—
1368C4⋊C4—1221no—
1369C4⋊C4—1221no—
1370C4⋊C4—1221no—
1371C4⋊C4—1221no—
1372C4⋊C4—1221no—
1373C4⋊C4—1221no—
1374C4⋊C4—1221no—
1375C4⋊C4—1221no—
1376C4⋊C4—1221no—
1377C4⋊C4—1221no—
1378C4⋊C4—1221no—
1379C4⋊C4—1221no—
1380C4⋊C4—1221no—
1381C4⋊C4—1221no—
1382C4⋊C4—1221no—
1383C4⋊C4—1221no—
1384C4⋊C4—1221no—
1385C4⋊C4—1221no—
1386C4⋊C4—1221no—
1387C4⋊C4—1221no—
1388C4⋊C4D4×D6111yescharacteristic
1389C4⋊C4D4×D6111yescharacteristic
1390C4⋊C4C23×D6111yescharacteristic
1391C4⋊C4C23×D6111yescharacteristic
1392C4⋊C4C23×D6111yescharacteristic
1393C4⋊C4C23×D6111yescharacteristic
1394C22⋊C4—21no—
1395C22⋊C4—21no—
1396C22⋊C4—21no—
1397C22⋊C4—21no—
1398C22⋊C4—611no—
1399C22⋊C4—611no—
1400C22⋊C4—1221no—
1401C22⋊C4—1221no—
1402C22⋊C4—1221no—
1403C22⋊C4—1221no—
1404C22⋊C4—1221no—
1405C22⋊C4—1221no—
1406C22⋊C4—1221no—
1407C22⋊C4D4×D6111yescharacteristic
1408C22⋊C4D4×D6111yescharacteristic
1409C42—21no—
1410C42—21no—
1411C42—21no—
1412C42—21no—
1413C42—611no—
1414C42—611no—
1415C42—611no—
1416C42—611no—
1417C42—611no—
1418C42—611no—
1419C42—1221no—
1420C42—1221no—
1421C42—1221no—
1422C42—1221no—
1423C42—1221no—
1424C42—1221no—
1425C42—1221no—
1426C42—1221no—
1427C42—1221no—
1428C42—1221no—
1429C42—1221no—
1430C42—1221no—
1431C42—1221no—
1432C42—1221no—
1433C42—1221no—
1434C42C23×D6111yescharacteristic
1435C42C23×D6111yescharacteristic
1436C23—21no—
1437C23C2×D4×D6111yescharacteristic
1438Q8—21no—
1439Q8—21no—
1440Q8—21no—
1441Q8—21no—
1442Q8—21no—
1443Q8—1221no—
1444Q8—1221no—
1445Q8—1221no—
1446Q8—1221no—
1447Q8—4881no—
1448Q8—4881no—
1449Q8—4881no—
1450Q8—4881no—
1451Q8—2441no—
1452Q8—2441no—
1453Q8—2441no—
1454Q8—2441no—
1455Q8—2442no—
1456Q8—2442no—
1457Q8#1451982412yes—
1458D4—24no—
1459D4—21no—
1460D4#1451982412yes—
1461C2×C4—24no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—81no—
1472C2×C4—81no—
1473C2×C4—81no—
1474C2×C4—611no—
1475C2×C4—611no—
1476C2×C4—611no—
1477C2×C4—611no—
1478C2×C4—611no—
1479C2×C4—611no—
1480C2×C4—611no—
1481C2×C4—611no—
1482C2×C4—1221no—
1483C2×C4—1221no—
1484C2×C4—1221no—
1485C2×C4—1221no—
1486C2×C4—1221no—
1487C2×C4—1221no—
1488C2×C4—1221no—
1489C2×C4—1221no—
1490C2×C4—4881no—
1491C2×C4—4881no—
1492C2×C4—4881no—
1493C2×C4—4881no—
1494C2×C4—4881no—
1495C2×C4—2441no—
1496C2×C4—2441no—
1497C2×C4C2×D4×D6111yescharacteristic
1498C2×C4C2×D4×D6111yescharacteristic
1499C2×C4C2×D4×D6111yescharacteristic
1500C2×C4C2×D4×D6111yescharacteristic
1501C2×C4C2×D4×D6111yescharacteristic
1502C2×C4C24×D6111yescharacteristic
1503C8—21no—
1504C8—21no—
1505C8—21no—
1506C8—21no—
1507C8—1221no—
1508C8—1221no—
1509C8—1221no—
1510C8—1221no—
1511C22—21no—
1512C22—22no—
1513C22—21no—
1514C22—21no—
1515C22—41no—
1516C22—41no—
1517C22C22×D4×D6111yescharacteristic
1518C4—21no—
1519C4—22no—
1520C4—21no—
1521C4—21no—
1522C4—21no—
1523C4—21no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—1221no—
1531C4—1221no—
1532C4—1221no—
1533C4—1221no—
1534C4—1221no—
1535C4—1221no—
1536C4—1221no—
1537C4—1221no—
1538C4—2441no—
1539C4—2441no—
1540C4—2441no—
1541C4—2441no—
1542C4—2441no—
1543C4—2441no—
1544C4—2441no—
1545C4—2441no—
1546C4C2×#1451982411yescharacteristic
1547C4C2×#1451982411yescharacteristic
1548C2—41no—
1549C2—42no—
1550C2#2145946611yescharacteristic
1551C2#2146060111yescharacteristic
1552C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3120C2
socleC22×C61C23×D4
prime radicalC2×#41×C61C23
hypercenter#3120D61
hypocenterC61#61877
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3120

Complements

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

NH ≅ G/Ntype
1. #21460312C2semidirect
3. #21458787C2semidirect
4. #21458786C2semidirect
5. #21458785C2semidirect
6. #21458784C2semidirect
7. #21458769C2semidirect
8. #21458768C2semidirect
9. #21458761C2semidirect
10. #21458760C2semidirect
11. #21458626C2semidirect
12. #21458623C2semidirect
13. #21458620C2semidirect
14. #21458617C2semidirect
15. #21458604C2semidirect
16. #21458601C2semidirect
17. #21458598C2semidirect
18. #21458595C2semidirect
19. #21457091C2semidirect
20. #21457089C2semidirect
21. #21457083C2semidirect
22. #21457081C2semidirect
23. #21457024C2semidirect
24. #21457022C2semidirect
30. #21454923C2semidirect
979. C61#61877semidirect

Maximal subgroups

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

subgroupindex
#214603122
#214596412
#214587872
#214587862
#214587852
#214587842
#214587692
#214587682
#214587612
#214587602
#214586262
#214586232
#214586202
#214586172
#214586042
#214586012
#214585982
#214585952
#214570912
#214570892
#214570832
#214570812
#214570242
#214570222
#214560342
#214560332
#214560262
#214559742
#214549232
C61×#31202
#6187761