Finite Group Databasebeta

← #30570993

Subgroups — #30570993

Order 15616.

1656 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460320C211yesmaximal, characteristic, complemented
2#21459633C211yesmaximal, characteristic, complemented
3#21458783C211yesmaximal, characteristic, complemented
4#21458770C211yesmaximal, characteristic, complemented
5#21458761C211yesmaximal, characteristic, complemented
6#21458748C211yesmaximal, characteristic, complemented
7#21458744C211yesmaximal, characteristic, complemented
8#21458729C211yesmaximal, characteristic, complemented
9#21458721C211yesmaximal, characteristic, complemented
10#21458664C211yesmaximal, characteristic, complemented
11#21458646C211yesmaximal, characteristic, complemented
12#21458636C211yesmaximal, characteristic, complemented
13#21458612C211yesmaximal, characteristic, complemented
14#21458585C211yesmaximal, characteristic, complemented
15#21458577C211yesmaximal, characteristic, complemented
16#21458561C211yesmaximal, characteristic, complemented
17#21458535C211yesmaximal, characteristic, complemented
18#21457116C211yesmaximal, characteristic, complemented
19#21457103C211yesmaximal, characteristic, complemented
20#21457090C211yesmaximal, characteristic, complemented
21#21457077C211yesmaximal, characteristic, complemented
22#21457048C211yesmaximal, characteristic, complemented
23#21457041C211yesmaximal, characteristic, complemented
24#21456100C211yesmaximal, characteristic, complemented
25#21456086C211yesmaximal, characteristic, complemented
26#21456038C211yesmaximal, characteristic, complemented
27#21456014C211yesmaximal, characteristic
28#21455933C211yesmaximal, characteristic, complemented
29#21455924C211yesmaximal, characteristic, complemented
30#21454922C211yesmaximal, characteristic, complemented
31C61×#3389C211yesmaximal, characteristic, complemented
32#16840513—21no—
33#16840513—21no—
34#16840495C2211yescharacteristic
35#16840495C2211yescharacteristic
36Q8×Dic122C2211yescharacteristic
37#16840492C2211yescharacteristic
38#16840489C2211yescharacteristic
39#16840489C2211yescharacteristic
40#16840489C2211yescharacteristic
41#16840487C2211yescharacteristic
42#16840485C2211yescharacteristic
43#16840482C2211yescharacteristic
44#16840470—21no—
45#16840469C2211yescharacteristic
46#16840468C2211yescharacteristic
47#16840467—21no—
48#16840447—21no—
49#16840446—21no—
50D4×Dic122C2211yescharacteristic
51D4×Dic122C2211yescharacteristic
52#16840425—21no—
53#16840425—21no—
54#16840392C2211yescharacteristic
55#16840392C2211yescharacteristic
56#16840391—21no—
57#16840391—21no—
58#16840386C2211yescharacteristic
59#16840385—21no—
60#16840382—21no—
61#16840377C2211yescharacteristic
62#16840375C2211yescharacteristic
63#16840363C2211yescharacteristic
64#16840359—21no—
65#16840358—21no—
66#16840316C2211yescharacteristic
67#16840314—21no—
68C2×#14519776—21no—
69C4⋊Q8×D61C2211yescharacteristic
70#16840297C2211yescharacteristic
71#16840294C2211yescharacteristic
72#16840241C2211yescharacteristic
73#16840241C2211yescharacteristic
74C4×#11758224C2211yescharacteristic
75#16840172C2211yescharacteristic
76#16840172C2211yescharacteristic
77#16840170C2211yescharacteristic
78#16840170C2211yescharacteristic
79#16840170C2211yescharacteristic
80#16840170C2211yescharacteristic
81#16840165C2211yescharacteristic
82#16840162C2211yescharacteristic
83#16840159C2211yescharacteristic
84#16840132C2211yescharacteristic
85#16840125C2211yescharacteristic
86#16840124C2211yescharacteristic
87#16840122C2211yescharacteristic
88#16840122C2211yescharacteristic
89#16840120C2211yescharacteristic
90#16840120C2211yescharacteristic
91#16840120C2211yescharacteristic
92#16840119C2211yescharacteristic
93#16840115C2211yescharacteristic
94#16840113C2211yescharacteristic
95#16840107C2211yescharacteristic
96#16840106C2211yescharacteristic
97#16840105C2211yescharacteristic
98#16840099C2211yescharacteristic
99#16840099C2211yescharacteristic
100#16840094C2211yescharacteristic
101#16840094C2211yescharacteristic
102#16840088C2211yescharacteristic
103#16840085C2211yescharacteristic
104#16840079C2211yescharacteristic
105#16840079C2211yescharacteristic
106#16840077C2211yescharacteristic
107#16840077C2211yescharacteristic
108#16840072C2211yescharacteristic
109#16840072C2211yescharacteristic
110#16840072C2211yescharacteristic
111#16840068C2211yescharacteristic
112#16840068C2211yescharacteristic
113#16840066C2211yescharacteristic
114#16840066C2211yescharacteristic
115#16840066C2211yescharacteristic
116#16840064C2211yescharacteristic
117#16840064C2211yescharacteristic
118#16840061C2211yescharacteristic
119#16840059C2211yescharacteristic
120#16840056C2211yescharacteristic
121#16840056C2211yescharacteristic
122#16840056C2211yescharacteristic
123#16840056C2211yescharacteristic
124#16840054C2211yescharacteristic
125#16840053C2211yescharacteristic
126#16840052C2211yescharacteristic
127#16840051C2211yescharacteristic
128#16840051C2211yescharacteristic
129#16840050C2211yescharacteristic
130#16840048C2211yescharacteristic
131#16840048C2211yescharacteristic
132#16840046C2211yescharacteristic
133#16840046C2211yescharacteristic
134#16840044C2211yescharacteristic
135#16840042C2211yescharacteristic
136#16840042C2211yescharacteristic
137#16840041C2211yescharacteristic
138#16839985C2211yescharacteristic
139#16839985C2211yescharacteristic
140#16839983C2211yescharacteristic
141#16839983C2211yescharacteristic
142#16839977C2211yescharacteristic
143#16839977C2211yescharacteristic
144#16839975C2211yescharacteristic
145#16839975C2211yescharacteristic
146#16839973C2211yescharacteristic
147#16839967C2211yescharacteristic
148#16839961C2211yescharacteristic
149#16839955C2211yescharacteristic
150#16839925C2211yescharacteristic
151#16839925C2211yescharacteristic
152#16839908C2211yescharacteristic
153#16839904C2211yescharacteristic
154#16839893C2211yescharacteristic
155#16839892C2211yescharacteristic
156#16839891C2211yescharacteristic
157#16839891C2211yescharacteristic
158#16839890C2211yescharacteristic
159#16839890C2211yescharacteristic
160#16839889C2211yescharacteristic
161#16839872C2211yescharacteristic
162#16839871C2211yescharacteristic
163#16839870C2211yescharacteristic
164#16839870C2211yescharacteristic
165#16839868C2211yescharacteristic
166#16839868C2211yescharacteristic
167#16839862C2211yescharacteristic
168#16839862C2211yescharacteristic
169#16839862C2211yescharacteristic
170#16839861C2211yescharacteristic
171#16839861C2211yescharacteristic
172#16839859C2211yescharacteristic
173#16839859C2211yescharacteristic
174#16839859C2211yescharacteristic
175#16839856C2211yescharacteristic
176#16839856C2211yescharacteristic
177#16839853C2211yescharacteristic
178C4×#11758190C2211yescharacteristic
179C4×#11758200C2211yescharacteristic
180C4×#11758200C2211yescharacteristic
181#16839842C2211yescharacteristic
182#16839824C2211yescharacteristic
183#16839822C2211yescharacteristic
184#16839822C2211yescharacteristic
185#16839821C2211yescharacteristic
186#16839818C2211yescharacteristic
187#16839817C2211yescharacteristic
188C61×#554C2211yescharacteristic
189C61×#554C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#501C2211yescharacteristic
192C61×#499C2211yescharacteristic
193C61×#478C2211yescharacteristic
194C61×#478C2211yescharacteristic
195C61×#478C2211yescharacteristic
196C61×#478C2211yescharacteristic
197C61×#474C2211yescharacteristic
198C61×#474C2211yescharacteristic
199C61×#446C2211yescharacteristic
200C61×#442C2211yescharacteristic
201C61×#442C2211yescharacteristic
202C4×D8×C61C2211yescharacteristic
203C2×#11758224C2311yescharacteristic
204C22×Dic122—21no—
205C22×Dic122—21no—
206C2×Q8×D61—21no—
207C2×Dic244C2311yescharacteristic
208C2×Dic244C2311yescharacteristic
209C2×#11758190C2311yescharacteristic
210C2×#11758200C2311yescharacteristic
211C2×#11758200C2311yescharacteristic
212C2×#11758200C2311yescharacteristic
213C2×#11758199C2311yescharacteristic
214#14519777C2311yescharacteristic
215#14519777C2311yescharacteristic
216#14519777C2311yescharacteristic
217#14519777C2311yescharacteristic
218#14519776—21no—
219#14519776—21no—
220#14519776—21no—
221#14519776—21no—
222#14519776—21no—
223#14519776—21no—
224#14519776—21no—
225#14519776—21no—
226#14519776—21no—
227#14519776—21no—
228#14519776D411yescharacteristic
229#14519776C2311yescharacteristic
230#14519776C2311yescharacteristic
231#14519776C2311yescharacteristic
232#14519776C2311yescharacteristic
233#14519776C2311yescharacteristic
234#14519775—21no—
235#14519775—21no—
236#14519775—21no—
237#14519775—21no—
238#14519775D411yescharacteristic
239#14519773C2311yescharacteristic
240#14519772—21no—
241#14519772—21no—
242#14519772—21no—
243#14519772—21no—
244#14519772—21no—
245#14519772—21no—
246#14519770—21no—
247#14519770—21no—
248#14519770—21no—
249#14519770—21no—
250#14519768—21no—
251#14519768—21no—
252#14519768C2311yescharacteristic
253#14519768C2311yescharacteristic
254#14519768C2311yescharacteristic
255#14519768C2311yescharacteristic
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519767—21no—
261#14519767—21no—
262#14519767—21no—
263#14519767—21no—
264#14519767—21no—
265#14519767—21no—
266#14519767D411yescharacteristic
267#14519767D411yescharacteristic
268#14519766—21no—
269#14519765C2311yescharacteristic
270#14519765C2311yescharacteristic
271#14519764C2311yescharacteristic
272#14519764C2311yescharacteristic
273#14519763—21no—
274#14519763—21no—
275#14519763—21no—
276#14519762—21no—
277#14519762—21no—
278#14519760—21no—
279#14519760—21no—
280#14519760—21no—
281#14519760—21no—
282#14519759—21no—
283#14519759—21no—
284#14519759—21no—
285#14519759—21no—
286#14519757—21no—
287#14519757—21no—
288#14519757—21no—
289#14519757D411yescharacteristic
290#14519757C2311yescharacteristic
291#14519757C2311yescharacteristic
292#14519756—21no—
293#14519756—21no—
294#14519756—21no—
295#14519756—21no—
296#14519756—21no—
297#14519755—21no—
298#14519755—21no—
299#14519755—21no—
300#14519755—21no—
301#14519755D411yescharacteristic
302#14519755D411yescharacteristic
303#14519754—21no—
304#14519754—21no—
305#14519754—21no—
306#14519754—21no—
307#14519754—21no—
308#14519754—21no—
309#14519753—21no—
310#14519753—21no—
311#14519753D411yescharacteristic
312#14519752C2311yescharacteristic
313#14519751—21no—
314#14519750—21no—
315#14519748C2311yescharacteristic
316Q8×Dic61—21no—
317Q8×Dic61—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#14519742C2311yescharacteristic
331#14519742C2311yescharacteristic
332#14519742C2311yescharacteristic
333#14519742C2311yescharacteristic
334#14519742C2311yescharacteristic
335#14519742C2311yescharacteristic
336#14519742C2311yescharacteristic
337C4×D244C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340D4×Dic61C2311yescharacteristic
341#14519739—21no—
342#14519739C2311yescharacteristic
343#14519739C2311yescharacteristic
344C4×C22⋊D61—21no—
345C4×C22⋊D61—21no—
346C4×C22⋊D61—21no—
347C4×C22⋊D61—21no—
348C4×C22⋊D61—21no—
349C4×C22⋊D61—21no—
350#14519737—21no—
351#14519737—21no—
352#14519737—21no—
353#14519736—21no—
354#14519736—21no—
355#14519735—21no—
356#14519735—21no—
357#14519735C2311yescharacteristic
358#14519734C2311yescharacteristic
359#14519734C2311yescharacteristic
360#14519733—21no—
361#14519733—21no—
362#14519733—21no—
363C2×C4⋊Dic61—21no—
364C2×#11758196—21no—
365C2×#11758196—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61—21no—
368C4⋊C4×D61C2311yescharacteristic
369C4⋊C4×D61C2311yescharacteristic
370C2×C4×Dic61—21no—
371C42×D61C2311yescharacteristic
372#14519710C2311yescharacteristic
373#14519710C2311yescharacteristic
374#14519710C2311yescharacteristic
375#14519710C2311yescharacteristic
376#14519710C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519709C2311yescharacteristic
380#14519709C2311yescharacteristic
381#14519709C2311yescharacteristic
382#14519708C2311yescharacteristic
383#14519708C2311yescharacteristic
384#14519708C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387C4⋊#92418C2311yescharacteristic
388C4⋊#92418C2311yescharacteristic
389C4⋊#92418C2311yescharacteristic
390#14519706C2311yescharacteristic
391#14519706C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519702C2311yescharacteristic
397#14519702C2311yescharacteristic
398#14519702C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519700C2311yescharacteristic
404#14519700C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519689C2311yescharacteristic
423#14519689C2311yescharacteristic
424#14519689C2311yescharacteristic
425#14519689C2311yescharacteristic
426#14519688C2311yescharacteristic
427#14519688C2311yescharacteristic
428#14519687C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432C4×#92418C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×D8×C61C2311yescharacteristic
436C4⋊Q8×C61C2311yescharacteristic
437C4⋊Q8×C61C2311yescharacteristic
438#125×C61C2311yescharacteristic
439#125×C61C2311yescharacteristic
440#125×C61C2311yescharacteristic
441#125×C61C2311yescharacteristic
442C22⋊Q8×C61—21no—
443C22⋊Q8×C61—21no—
444C22⋊Q8×C61—21no—
445C22⋊Q8×C61—21no—
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448C4×Q8×C61C2311yescharacteristic
449C4×D4×C61C2311yescharacteristic
450C4×D4×C61C2311yescharacteristic
451C4×D4×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C2×C4⋊C4×C61—21no—
456C2×C4⋊C4×C61—21no—
457#107×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61C2×D411yescharacteristic
481C2×D4×C61C2411yescharacteristic
482C2×D4×C61C2411yescharacteristic
483C22×C4×C61—21no—
484C22×C4×C61—21no—
485C22×C4×C61—21no—
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C2×C22⋊D61—21no—
490C2×C22⋊D61—21no—
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
493C22×Dic61—21no—
494C22×Dic61—21no—
495C22×Dic61—21no—
496C22×Dic61—21no—
497Q8×D61—82no—
498#11758224—22no—
499#11758224—22no—
500C2×D244—21no—
501C2×D244C2411yescharacteristic
502C2×C4×D61—21no—
503C2×C4×D61—21no—
504C2×C4×D61—21no—
505C2×C4×D61—21no—
506C2×C4×D61—21no—
507C2×C4×D61C2×D411yescharacteristic
508C2×C4×D61C2×D411yescharacteristic
509C2×C4×D61C2411yescharacteristic
510C2×Dic122—21no—
511C2×Dic122—21no—
512C2×Dic122—21no—
513C2×Dic122—21no—
514C2×Dic122—21no—
515C2×Dic122—21no—
516C2×Dic122—21no—
517C2×Dic122—21no—
518C2×Dic122—82no—
519C2×Dic122—82no—
520C2×Dic122C2×D411yescharacteristic
521C2×Dic122C2×D411yescharacteristic
522C2×Dic122C2×D411yescharacteristic
523C2×Dic122C2411yescharacteristic
524C2×Dic122C2411yescharacteristic
525C2×Dic122C2411yescharacteristic
526D8×C61—22no—
527C2×C8×C61C2411yescharacteristic
528C2×C8×C61C2411yescharacteristic
529C2×C8×C61C2411yescharacteristic
530C2×C8×C61C2411yescharacteristic
531C4⋊C4×C61—21no—
532C4⋊C4×C61—21no—
533C4⋊C4×C61—21no—
534C4⋊C4×C61—21no—
535C4⋊C4×C61—21no—
536C4⋊C4×C61—21no—
537C4⋊C4×C61—21no—
538C4⋊C4×C61—21no—
539C4⋊C4×C61—21no—
540C4⋊C4×C61—21no—
541C4⋊C4×C61C2×D411yescharacteristic
542C4⋊C4×C61C2×D411yescharacteristic
543C4⋊C4×C61C2×D411yescharacteristic
544C4⋊C4×C61C2411yescharacteristic
545C4⋊C4×C61C2411yescharacteristic
546C4⋊C4×C61C2411yescharacteristic
547C4⋊C4×C61C2411yescharacteristic
548C4⋊C4×C61C2411yescharacteristic
549C4⋊C4×C61C2411yescharacteristic
550C22⋊C4×C61—21no—
551C22⋊C4×C61—21no—
552C22⋊C4×C61—21no—
553C22⋊C4×C61—21no—
554C22⋊C4×C61—21no—
555C22⋊C4×C61—21no—
556C42×C61C2411yescharacteristic
557C42×C61C2411yescharacteristic
558C42×C61C2411yescharacteristic
559C22⋊Dic61—21no—
560C22⋊Dic61—21no—
561C22⋊Dic61—21no—
562C22⋊Dic61—21no—
563C22⋊Dic61—21no—
564C22⋊Dic61—21no—
565C22⋊Dic61—21no—
566C22⋊Dic61—21no—
567#11758200—22no—
568#11758200—22no—
569#11758200—22no—
570#11758199—22no—
571#11758198—21no—
572#11758198—21no—
573#11758198—21no—
574#11758198—21no—
575#11758198—21no—
576#11758198—21no—
577#11758198—21no—
578#11758198—21no—
579#11758198—21no—
580#11758198—21no—
581#11758198—21no—
582#11758198C2×D411yescharacteristic
583#11758198C2×D411yescharacteristic
584#11758198C2×D411yescharacteristic
585#11758198C2×D411yescharacteristic
586C4⋊Dic61—21no—
587C4⋊Dic61—21no—
588C4⋊Dic61—21no—
589C4⋊Dic61—21no—
590C4⋊Dic61—21no—
591C4⋊Dic61—21no—
592C4⋊Dic61—21no—
593C4⋊Dic61—21no—
594C4⋊Dic61—21no—
595C4⋊Dic61—21no—
596C4⋊Dic61—21no—
597C4⋊Dic61C2×D411yescharacteristic
598C4⋊Dic61C2×D411yescharacteristic
599C4⋊Dic61C2×D411yescharacteristic
600C4⋊Dic61C2411yescharacteristic
601C4⋊Dic61C2411yescharacteristic
602C4⋊Dic61C2411yescharacteristic
603C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
627#11758196C2×D411yescharacteristic
628#11758196C2×D411yescharacteristic
629#11758196C2×D411yescharacteristic
630#11758196C2×D411yescharacteristic
631#11758196C2×D411yescharacteristic
632#11758196C2×D411yescharacteristic
633#11758196C2×D411yescharacteristic
634#11758196C2×D411yescharacteristic
635#11758196C2×D411yescharacteristic
636#11758196C2×D411yescharacteristic
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×Dic61—21no—
650C4×Dic61C2×D411yescharacteristic
651C4×Dic61C2×D411yescharacteristic
652C4×Dic61C2411yescharacteristic
653C4×Dic61C2411yescharacteristic
654C4×Dic61C2411yescharacteristic
655C2×#92418C2411yescharacteristic
656C2×#92418C2411yescharacteristic
657C2×#92418C2411yescharacteristic
658C2×#92418C2411yescharacteristic
659Dic244—22no—
660Dic244—22no—
661#11758190—22no—
662C23×C61—21no—
663C23×C61—21no—
664C22×D61—21no—
665C22×D61C22×D411yescharacteristic
666Q8×C61—41no—
667Q8×C61—81no—
668Q8×C61—81no—
669D4×C61—21no—
670D4×C61—21no—
671D4×C61—21no—
672D4×C612−1+412yes—
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—42no—
680C2×C4×C61—81no—
681C2×C4×C61—81no—
682C2×C4×C61—81no—
683C2×C4×C61—81no—
684C2×C4×C61—81no—
685C2×C4×C61C22×D411yescharacteristic
686C2×C4×C61C22×D411yescharacteristic
687C2×C4×C61C22×D411yescharacteristic
688C2×C4×C61C22×D411yescharacteristic
689C2×C4×C61C22×D411yescharacteristic
690C2×C4×C61C22×D411yescharacteristic
691C2×C4×C61C2511yescharacteristic
692C22⋊D61—24no—
693C22⋊D61—81no—
694C22⋊D61—81no—
695C22⋊D61—81no—
696C2×Dic61—24no—
697C2×Dic61—21no—
698C2×Dic61—21no—
699C2×Dic61—21no—
700C2×Dic61—21no—
701C2×Dic61—21no—
702C2×Dic61—21no—
703C2×Dic61—21no—
704C2×Dic61—42no—
705C2×Dic61—81no—
706C2×Dic61—81no—
707C2×Dic61C22×D411yescharacteristic
708C2×Dic61C22×D411yescharacteristic
709C2×Dic61C22×D411yescharacteristic
710C2×Dic61C22×D411yescharacteristic
711C2×Dic61C22×D411yescharacteristic
712C2×Dic61C22×D411yescharacteristic
713C2×Dic61C22×D411yescharacteristic
714D244—21no—
715D244—21no—
716D244—81no—
717C4×D61—21no—
718C4×D61—21no—
719C4×D61—41no—
720C4×D61—41no—
721C4×D61—81no—
722C4×D61—81no—
723C4×D61—81no—
724C4×D61—81no—
725C4×D61—81no—
726Dic122—21no—
727Dic122—21no—
728Dic122—21no—
729Dic122—21no—
730Dic122—21no—
731Dic122—41no—
732Dic122—41no—
733Dic122—41no—
734Dic122—42no—
735Dic122—42no—
736Dic122—81no—
737Dic122—81no—
738Dic122—81no—
739Dic122—81no—
740Dic122—81no—
741Dic122—81no—
742Dic1222−1+412yes—
743C8×C61—21no—
744C8×C61—21no—
745C8×C61—21no—
746C8×C61—21no—
747#92418—21no—
748#92418—21no—
749#92418—21no—
750#92418—21no—
751#61879—611nomaximal, Sylow
752C22×C61—22no—
753C22×C61—41no—
754C22×C61—41no—
755C22×C61—41no—
756C22×C61—41no—
757C22×C61—41no—
758C22×C61C23×D411yescharacteristic
759C2×D61—21no—
760C2×D61—21no—
761C2×D61—21no—
762C2×D61—41no—
763C2×D61—41no—
764C2×D61—41no—
765C4×C61—21no—
766C4×C61—21no—
767C4×C61—21no—
768C4×C61—21no—
769C4×C61—21no—
770C4×C61—21no—
771C4×C61—41no—
772C4×C61—41no—
773C4×C61—41no—
774C4×C61—41no—
775C4×C61—41no—
776C4×C61—41no—
777C4×C61C2×2−1+411yescharacteristic
778C4×C61C2×2−1+411yescharacteristic
779Dic61—21no—
780Dic61—21no—
781Dic61—21no—
782Dic61—21no—
783Dic61—21no—
784Dic61—21no—
785Dic61—22no—
786Dic61—21no—
787Dic61—41no—
788Dic61—41no—
789Dic61—41no—
790Dic61—41no—
791Dic61—41no—
792Dic61—41no—
793#3557—611no—
794#3503—611no—
795#3390—611no—
796#3389D6111yescharacteristic, complemented
797#3388—611no—
798#3388—611no—
799#3387—611no—
800#3386—611no—
801#3385—611no—
802#3384—611no—
803#3377—611no—
804#3376—611no—
805#3375—611no—
806#3373—611no—
807#3371—611no—
808#3370—611no—
809#3369—611no—
810#3367—611no—
811#3244—611no—
812#3243—611no—
813#3242—611no—
814#3241—611no—
815#3239—611no—
816#3238—611no—
817#3125—611no—
818#3124—611no—
819#3120—611no—
820#3119—611no—
821#3111—611no—
822#3111—611no—
823#2987—611no—
824C2×C61—42no—
825C2×C61—81no—
826C2×C61#348611yescharacteristic
827C2×C61#358511yescharacteristic
828C2×C61#358611yescharacteristic
829D61—41no—
830D61—81no—
831#563—1221no—
832#563—1221no—
833#559—611no—
834#559—611no—
835Q82—611no—
836Q82—611no—
837#557—611no—
838#557—611no—
839#557—611no—
840#557—611no—
841#556—611no—
842#556—611no—
843#554—611no—
844#554—611no—
845#554—1221no—
846#554—1221no—
847#554C2×D6111yescharacteristic
848#554C2×D6111yescharacteristic
849#552—1221no—
850#552—1221no—
851D4×Q8—611no—
852D4×Q8—611no—
853D4×Q8—1221no—
854D4×Q8—1221no—
855#544—611no—
856#544—611no—
857#544—1221no—
858#544—1221no—
859#542—611no—
860#542—611no—
861#542—1221no—
862#542—1221no—
863#541—611no—
864#540—611no—
865#539—1221no—
866#539—1221no—
867#533—611no—
868#533—1221no—
869C2×C4⋊Q8—611no—
870C2×C4⋊Q8—1221no—
871#529—611no—
872#529—611no—
873#520—611no—
874#520—611no—
875C4×#41—611no—
876#501—611no—
877#501—611no—
878#501—611no—
879#501—611no—
880#501—611no—
881#501—611no—
882#501C2×D6111yescharacteristic
883#501C2×D6111yescharacteristic
884#500—611no—
885#499—611no—
886#499C2×D6111yescharacteristic
887#498—611no—
888#491—611no—
889#490—611no—
890#489—611no—
891#489—611no—
892#489—611no—
893#489—611no—
894#489—611no—
895#489—611no—
896#488—611no—
897#488—611no—
898#487—611no—
899#486—611no—
900#485—611no—
901#485—611no—
902#484—611no—
903#484—611no—
904#483—611no—
905#483—611no—
906#482—611no—
907#482—611no—
908#481—611no—
909#481—611no—
910#480—611no—
911#480—611no—
912#479—611no—
913#479—611no—
914#479—611no—
915#479—611no—
916#479—611no—
917#479—611no—
918#479—611no—
919#479—611no—
920#478—611no—
921#478—611no—
922#478—611no—
923#478—611no—
924#478C2×D6111yescharacteristic
925#478C2×D6111yescharacteristic
926#478C2×D6111yescharacteristic
927#478C2×D6111yescharacteristic
928#477—611no—
929#477—611no—
930#477—611no—
931#477—611no—
932#477—611no—
933#476—611no—
934#476—611no—
935#476—611no—
936#476—611no—
937#476—611no—
938#475—611no—
939#475—611no—
940#475—611no—
941#475—611no—
942#475—611no—
943#474—611no—
944#474—611no—
945#474—611no—
946#474C2×D6111yescharacteristic
947#474C2×D6111yescharacteristic
948#464—611no—
949#464—611no—
950#464—611no—
951#464—611no—
952#463—611no—
953#463—611no—
954#463—611no—
955#463—611no—
956#462—611no—
957#461—611no—
958#460—611no—
959#459—611no—
960#452—611no—
961#452—611no—
962#449—611no—
963#449—611no—
964#446—611no—
965#446—611no—
966#446—611no—
967#446—611no—
968#446—611no—
969#446—611no—
970#446—611no—
971#446C2×D6111yescharacteristic
972#442—611no—
973#442—611no—
974#442C2×D6111yescharacteristic
975#442C2×D6111yescharacteristic
976#441—611no—
977#441—611no—
978#441—611no—
979#441—611no—
980#440—611no—
981#440—611no—
982#440—611no—
983#440—611no—
984#440—611no—
985#440—611no—
986#440—611no—
987#440—611no—
988C4×Q16—611no—
989C4×Q16—611no—
990C4×SD16—611no—
991C4×SD16—611no—
992C4×SD16—611no—
993C4×SD16—611no—
994C4×D8—611no—
995C4×D8C2×D6111yescharacteristic
996#433—611no—
997#433—611no—
998#433—611no—
999#433—611no—
1000#432—611no—
1001#432—611no—
1002C61#6187911yescharacteristic, complemented, Sylow
1003C2×#41—611no—
1004C22×Q8—1221no—
1005C22×Q8—1221no—
1006C22×Q8—1221no—
1007C2×Q16—611no—
1008C2×Q16—611no—
1009C2×SD16—611no—
1010C2×SD16—611no—
1011C2×SD16—611no—
1012C2×SD16—611no—
1013C2×D8—611no—
1014C2×D8C22×D6111yescharacteristic
1015C4⋊Q8—611no—
1016C4⋊Q8—611no—
1017C4⋊Q8—611no—
1018C4⋊Q8—611no—
1019C4⋊Q8—611no—
1020C4⋊Q8—611no—
1021C4⋊Q8—611no—
1022C4⋊Q8—611no—
1023C4⋊Q8—611no—
1024C4⋊Q8—611no—
1025C4⋊Q8—611no—
1026C4⋊Q8—1221no—
1027C4⋊Q8—1221no—
1028C4⋊Q8—1221no—
1029C4⋊Q8—1221no—
1030C4⋊Q8—1221no—
1031C4⋊Q8—1221no—
1032C4⋊Q8—1221no—
1033C4⋊Q8—1221no—
1034C4⋊Q8—1221no—
1035C4⋊Q8—1221no—
1036C4⋊Q8—1221no—
1037C4⋊Q8—1221no—
1038C4⋊Q8—1221no—
1039C4⋊Q8—1221no—
1040C4⋊Q8C22×D6111yescharacteristic
1041C4⋊Q8C22×D6111yescharacteristic
1042#127—611no—
1043#126—1221no—
1044#126—1221no—
1045#126—1221no—
1046#126—1221no—
1047#126—1221no—
1048#126—1221no—
1049#126—1221no—
1050#126—1221no—
1051#126—1221no—
1052#126—1221no—
1053#125—611no—
1054#125—611no—
1055#125—611no—
1056#125—611no—
1057#125—611no—
1058#125—611no—
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#125C22×D6111yescharacteristic
1072#125C22×D6111yescharacteristic
1073#125C22×D6111yescharacteristic
1074#125C22×D6111yescharacteristic
1075#124—611no—
1076#124—611no—
1077#124—611no—
1078#124—611no—
1079#124—1221no—
1080#124—1221no—
1081#124—1221no—
1082#124—1221no—
1083#123—1221no—
1084#123—1221no—
1085#123—1221no—
1086#123—1221no—
1087#123—1221no—
1088#123—1221no—
1089#123—1221no—
1090#123—1221no—
1091#123—1221no—
1092#123—1221no—
1093C22⋊Q8—21no—
1094C22⋊Q8—21no—
1095C22⋊Q8—21no—
1096C22⋊Q8—21no—
1097C22⋊Q8—21no—
1098C22⋊Q8—21no—
1099C22⋊Q8—611no—
1100C22⋊Q8—611no—
1101C22⋊Q8—611no—
1102C22⋊Q8—611no—
1103C22⋊Q8—611no—
1104C22⋊Q8—611no—
1105C22⋊Q8—1221no—
1106C22⋊Q8—1221no—
1107C22⋊Q8—1221no—
1108C22⋊Q8—1221no—
1109C22⋊Q8—1221no—
1110C22⋊Q8—1221no—
1111C22⋊Q8—1221no—
1112C22⋊Q8—1221no—
1113C22⋊Q8—1221no—
1114C22⋊Q8—1221no—
1115C22⋊Q8—1221no—
1116C22⋊Q8—1221no—
1117C22⋊Q8—1221no—
1118C22⋊Q8—1221no—
1119C22⋊Q8—1221no—
1120C22⋊Q8—1221no—
1121C22⋊Q8—1221no—
1122C22⋊Q8—1221no—
1123C22⋊Q8—1221no—
1124C22⋊Q8—1221no—
1125#121—611no—
1126#121—611no—
1127#121—1221no—
1128#121—1221no—
1129C4×Q8—611no—
1130C4×Q8—611no—
1131C4×Q8—611no—
1132C4×Q8—611no—
1133C4×Q8—611no—
1134C4×Q8—611no—
1135C4×Q8—611no—
1136C4×Q8—611no—
1137C4×Q8—611no—
1138C4×Q8—611no—
1139C4×Q8—611no—
1140C4×Q8—611no—
1141C4×Q8—611no—
1142C4×Q8—611no—
1143C4×Q8—611no—
1144C4×Q8—1221no—
1145C4×Q8—1221no—
1146C4×Q8—1221no—
1147C4×Q8—1221no—
1148C4×Q8—1221no—
1149C4×Q8—1221no—
1150C4×Q8C22×D6111yescharacteristic
1151C4×D4—611no—
1152C4×D4—611no—
1153C4×D4—611no—
1154C4×D4—611no—
1155C4×D4—611no—
1156C4×D4—611no—
1157C4×D4—1221no—
1158C4×D4—1221no—
1159C4×D4—1221no—
1160C4×D4—1221no—
1161C4×D4—1221no—
1162C4×D4—1221no—
1163C4×D4—1221no—
1164C4×D4—1221no—
1165C4×D4—1221no—
1166C4×D4—1221no—
1167C4×D4C22×D6111yescharacteristic
1168C4×D4C22×D6111yescharacteristic
1169C4×D4C22×D6111yescharacteristic
1170C4×D4C22×D6111yescharacteristic
1171C4×D4C22×D6111yescharacteristic
1172C4×D4C22×D6111yescharacteristic
1173#117—611no—
1174#117—611no—
1175#117—611no—
1176#117—1221no—
1177#117—1221no—
1178#117—1221no—
1179#117—1221no—
1180#117—1221no—
1181#117—1221no—
1182#117—1221no—
1183C2×C4⋊C4—21no—
1184C2×C4⋊C4—21no—
1185C2×C4⋊C4—611no—
1186C2×C4⋊C4—611no—
1187C2×C4⋊C4—1221no—
1188C2×C4⋊C4—1221no—
1189C2×C4⋊C4—1221no—
1190C2×C4⋊C4—1221no—
1191C2×C4⋊C4—1221no—
1192C2×C42—611no—
1193C2×C42—1221no—
1194#107—611no—
1195#107—611no—
1196#107—611no—
1197#107—611no—
1198#107—611no—
1199#107—611no—
1200#107—611no—
1201#107C22×D6111yescharacteristic
1202#107C22×D6111yescharacteristic
1203#107C22×D6111yescharacteristic
1204#107C22×D6111yescharacteristic
1205#107C22×D6111yescharacteristic
1206#106—611no—
1207#106—611no—
1208#106—611no—
1209#106—611no—
1210#106—611no—
1211#106—611no—
1212#106—611no—
1213#106—611no—
1214#106C22×D6111yescharacteristic
1215#106C22×D6111yescharacteristic
1216#106C22×D6111yescharacteristic
1217#106C22×D6111yescharacteristic
1218C4⋊C8—611no—
1219C4⋊C8—611no—
1220C4⋊C8—611no—
1221C4⋊C8—611no—
1222C4⋊C8—611no—
1223C4⋊C8—611no—
1224C4⋊C8—611no—
1225C4⋊C8—611no—
1226C4⋊C8—611no—
1227C4⋊C8C22×D6111yescharacteristic
1228C4⋊C8C22×D6111yescharacteristic
1229C4⋊C8C22×D6111yescharacteristic
1230#103—611no—
1231#103—611no—
1232#103—611no—
1233#103—611no—
1234#103—611no—
1235#103—611no—
1236#103—611no—
1237#103—611no—
1238#103—611no—
1239#103—611no—
1240#103—611no—
1241#103—611no—
1242#103—611no—
1243#103—611no—
1244#103—611no—
1245#103—611no—
1246#102—611no—
1247#102—611no—
1248#102—611no—
1249#102—611no—
1250#102—611no—
1251#102—611no—
1252#102—611no—
1253#102—611no—
1254#102—611no—
1255#102—611no—
1256#102C22×D6111yescharacteristic
1257#102C22×D6111yescharacteristic
1258#102C22×D6111yescharacteristic
1259#102C22×D6111yescharacteristic
1260#102C22×D6111yescharacteristic
1261#102C22×D6111yescharacteristic
1262C22⋊C8—611no—
1263C22⋊C8—611no—
1264C22⋊C8—611no—
1265C22⋊C8—611no—
1266#97—611no—
1267#97—611no—
1268#97—611no—
1269#97—611no—
1270#97—611no—
1271#97—611no—
1272#97C22×D6111yescharacteristic
1273#97C22×D6111yescharacteristic
1274C4×C8—611no—
1275C4×C8—611no—
1276C4×C8—611no—
1277C4×C8C22×D6111yescharacteristic
1278#41—1222no—
1279#41—1222no—
1280C2×Q8—21no—
1281C2×Q8—21no—
1282C2×Q8—611no—
1283C2×Q8—611no—
1284C2×Q8—611no—
1285C2×Q8—611no—
1286C2×Q8—611no—
1287C2×Q8—611no—
1288C2×Q8—1221no—
1289C2×Q8—1221no—
1290C2×Q8—1221no—
1291C2×Q8—1221no—
1292C2×Q8—1221no—
1293C2×Q8—1221no—
1294C2×Q8—1221no—
1295C2×Q8—1221no—
1296C2×Q8—4882no—
1297C2×Q8—4882no—
1298C2×Q8—4882no—
1299C2×Q8D4×D6111yescharacteristic
1300C2×D4—611no—
1301C2×D4—1221no—
1302C2×D4—1221no—
1303C2×D4—1221no—
1304C2×D4—1221no—
1305C2×D4—1221no—
1306C2×D4C23×D6111yescharacteristic
1307C2×D4C23×D6111yescharacteristic
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—611no—
1315C22×C4—611no—
1316C22×C4—611no—
1317C22×C4—1221no—
1318C22×C4—1221no—
1319C22×C4—1221no—
1320C22×C4—1221no—
1321C22×C4—1221no—
1322C22×C4—1221no—
1323C22×C4—1221no—
1324C22×C4—1221no—
1325C22×C4—1221no—
1326Q16—1222no—
1327Q16—1222no—
1328SD16—1222no—
1329SD16—1222no—
1330SD16—1222no—
1331SD16—1222no—
1332D8—22no—
1333D8—1222no—
1334C2×C8—611no—
1335C2×C8—611no—
1336C2×C8—611no—
1337C2×C8—611no—
1338C2×C8C23×D6111yescharacteristic
1339C2×C8C23×D6111yescharacteristic
1340C2×C8C23×D6111yescharacteristic
1341C2×C8C23×D6111yescharacteristic
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—611no—
1353C4⋊C4—611no—
1354C4⋊C4—611no—
1355C4⋊C4—611no—
1356C4⋊C4—611no—
1357C4⋊C4—611no—
1358C4⋊C4—611no—
1359C4⋊C4—611no—
1360C4⋊C4—611no—
1361C4⋊C4—611no—
1362C4⋊C4—611no—
1363C4⋊C4—611no—
1364C4⋊C4—611no—
1365C4⋊C4—611no—
1366C4⋊C4—611no—
1367C4⋊C4—611no—
1368C4⋊C4—611no—
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⋊C4—1221no—
1389C4⋊C4—1221no—
1390C4⋊C4—1221no—
1391C4⋊C4—1221no—
1392C4⋊C4—1221no—
1393C4⋊C4—1221no—
1394C4⋊C4—1221no—
1395C4⋊C4—1221no—
1396C4⋊C4—1221no—
1397C4⋊C4—1221no—
1398C4⋊C4—1221no—
1399C4⋊C4—1221no—
1400C4⋊C4—1221no—
1401C4⋊C4—1221no—
1402C4⋊C4—1221no—
1403C4⋊C4D4×D6111yescharacteristic
1404C4⋊C4D4×D6111yescharacteristic
1405C4⋊C4D4×D6111yescharacteristic
1406C4⋊C4C23×D6111yescharacteristic
1407C4⋊C4C23×D6111yescharacteristic
1408C4⋊C4C23×D6111yescharacteristic
1409C4⋊C4C23×D6111yescharacteristic
1410C4⋊C4C23×D6111yescharacteristic
1411C4⋊C4C23×D6111yescharacteristic
1412C22⋊C4—21no—
1413C22⋊C4—21no—
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—611no—
1419C22⋊C4—611no—
1420C22⋊C4—611no—
1421C22⋊C4—611no—
1422C22⋊C4—1221no—
1423C22⋊C4—1221no—
1424C22⋊C4—1221no—
1425C22⋊C4—1221no—
1426C22⋊C4—1221no—
1427C22⋊C4—1221no—
1428C22⋊C4—1221no—
1429C22⋊C4—1221no—
1430C22⋊C4—1221no—
1431C22⋊C4—1221no—
1432C22⋊C4—1221no—
1433C22⋊C4—1221no—
1434C22⋊C4—1221no—
1435C22⋊C4—1221no—
1436C22⋊C4—1221no—
1437C22⋊C4—1221no—
1438C22⋊C4—1221no—
1439C22⋊C4—1221no—
1440C22⋊C4—1221no—
1441C42—611no—
1442C42—611no—
1443C42—611no—
1444C42—611no—
1445C42—611no—
1446C42—1221no—
1447C42—1221no—
1448C42—1221no—
1449C42—1221no—
1450C42—1221no—
1451C42—1221no—
1452C42—1221no—
1453C42—1221no—
1454C42—1221no—
1455C42—1221no—
1456C42—1221no—
1457C42—1221no—
1458C42—1221no—
1459C42C23×D6111yescharacteristic
1460C42C23×D6111yescharacteristic
1461C42C23×D6111yescharacteristic
1462C23—21no—
1463C23—21no—
1464C23—611no—
1465C23—1221no—
1466Q8—41no—
1467Q8—81no—
1468Q8—81no—
1469Q8—612no—
1470Q8—1221no—
1471Q8—1221no—
1472Q8—1221no—
1473Q8—1221no—
1474Q8—1221no—
1475Q8—4881no—
1476Q8—4881no—
1477Q8—4881no—
1478Q8—4881no—
1479Q8—4881no—
1480Q8—4881no—
1481Q8—2441no—
1482Q8—2441no—
1483Q8—2441no—
1484Q8—2442no—
1485Q8—2442no—
1486D4—21no—
1487D4—21no—
1488D4—21no—
1489D4—1224no—
1490D4—1221no—
1491D4—1221no—
1492D4—4881no—
1493D4—4881no—
1494D4—4881no—
1495D4—4881no—
1496D4#1451982512yes—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—42no—
1504C2×C4—81no—
1505C2×C4—81no—
1506C2×C4—81no—
1507C2×C4—81no—
1508C2×C4—81no—
1509C2×C4—611no—
1510C2×C4—611no—
1511C2×C4—611no—
1512C2×C4—611no—
1513C2×C4—611no—
1514C2×C4—611no—
1515C2×C4—611no—
1516C2×C4—1224no—
1517C2×C4—1221no—
1518C2×C4—1221no—
1519C2×C4—1221no—
1520C2×C4—1221no—
1521C2×C4—1221no—
1522C2×C4—1221no—
1523C2×C4—1221no—
1524C2×C4—1221no—
1525C2×C4—1221no—
1526C2×C4—4881no—
1527C2×C4—4881no—
1528C2×C4—4881no—
1529C2×C4—4881no—
1530C2×C4—4881no—
1531C2×C4—4881no—
1532C2×C4—4881no—
1533C2×C4—2441no—
1534C2×C4—2441no—
1535C2×C4—2442no—
1536C2×C4C2×D4×D6111yescharacteristic
1537C2×C4C2×D4×D6111yescharacteristic
1538C2×C4C2×D4×D6111yescharacteristic
1539C2×C4C2×D4×D6111yescharacteristic
1540C2×C4C2×D4×D6111yescharacteristic
1541C2×C4C2×D4×D6111yescharacteristic
1542C2×C4C24×D6111yescharacteristic
1543C8—21no—
1544C8—21no—
1545C8—21no—
1546C8—21no—
1547C8—1221no—
1548C8—1221no—
1549C8—1221no—
1550C8—1221no—
1551C22—22no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—1221no—
1558C22—1221no—
1559C22—1221no—
1560C22—2441no—
1561C22—2441no—
1562C22—2441no—
1563C22C22×D4×D6111yescharacteristic
1564C4—21no—
1565C4—21no—
1566C4—21no—
1567C4—21no—
1568C4—21no—
1569C4—21no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—1221no—
1577C4—1222no—
1578C4—1221no—
1579C4—1221no—
1580C4—1221no—
1581C4—1221no—
1582C4—1221no—
1583C4—1221no—
1584C4—2441no—
1585C4—2441no—
1586C4—2441no—
1587C4—2441no—
1588C4—2441no—
1589C4—2441no—
1590C42−1+4×D6111yescharacteristic
1591C4C2×#1451982511yescharacteristic
1592C2—42no—
1593C2—81no—
1594C2—4881no—
1595C2—2441no—
1596C2#2145946911yescharacteristic
1597C2#2146059411yescharacteristic
1598C2#2146060311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3389C2
socleC22×C61C23×D4
prime radical#21456014C2
hypercenter#3389D61
hypocenterC61#61879
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3389

Complements

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

NH ≅ G/Ntype
1. #21460320C2semidirect
2. #21459633C2semidirect
3. #21458783C2semidirect
4. #21458770C2semidirect
5. #21458761C2semidirect
6. #21458748C2semidirect
7. #21458744C2semidirect
8. #21458729C2semidirect
9. #21458721C2semidirect
10. #21458664C2semidirect
11. #21458646C2semidirect
12. #21458636C2semidirect
13. #21458612C2semidirect
14. #21458585C2semidirect
15. #21458577C2semidirect
16. #21458561C2semidirect
17. #21458535C2semidirect
18. #21457116C2semidirect
19. #21457103C2semidirect
20. #21457090C2semidirect
21. #21457077C2semidirect
22. #21457048C2semidirect
23. #21457041C2semidirect
24. #21456100C2semidirect
25. #21456086C2semidirect
26. #21456038C2semidirect
28. #21455933C2semidirect
29. #21455924C2semidirect
30. #21454922C2semidirect
31. C61×#3389C2semidirect
796. #3389D61semidirect
1002. C61#61879semidirect

Maximal subgroups

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

subgroupindex
#214603202
#214596332
#214587832
#214587702
#214587612
#214587482
#214587442
#214587292
#214587212
#214586642
#214586462
#214586362
#214586122
#214585852
#214585772
#214585612
#214585352
#214571162
#214571032
#214570902
#214570772
#214570482
#214570412
#214561002
#214560862
#214560382
#214560142
#214559332
#214559242
#214549222
C61×#33892
#6187961