Finite Group Databasebeta

← #30576881

Subgroups — #30576881

Order 15616.

1646 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460454C211yesmaximal, characteristic, complemented
2#21459835C211yesmaximal, characteristic, complemented
3#21458748C211yesmaximal, characteristic, complemented
4#21458724C211yesmaximal, characteristic, complemented
5#21458664C211yesmaximal, characteristic, complemented
6#21458647C211yesmaximal, characteristic, complemented
7#21458357C211yesmaximal, characteristic, complemented
8#21458350C211yesmaximal, characteristic, complemented
9#21458334C211yesmaximal, characteristic, complemented
10#21458247C211yesmaximal, characteristic, complemented
11#21458230C211yesmaximal, characteristic, complemented
12#21458000C211yesmaximal, characteristic, complemented
13#21457984C211yesmaximal, characteristic, complemented
14#21457888C211yesmaximal, characteristic, complemented
15#21457872C211yesmaximal, characteristic, complemented
16#21457727C211yesmaximal, characteristic, complemented
17#21457704C211yesmaximal, characteristic, complemented
18#21457289C211yesmaximal, characteristic, complemented
19#21457274C211yesmaximal, characteristic, complemented
20#21457158C211yesmaximal, characteristic, complemented
21#21457115C211yesmaximal, characteristic, complemented
22#21457098C211yesmaximal, characteristic, complemented
23#21457034C211yesmaximal, characteristic, complemented
24#21456043C211yesmaximal, characteristic, complemented
25#21456043C211yesmaximal, characteristic, complemented
26#21455924C211yesmaximal, characteristic, complemented
27#21455664C211yesmaximal, characteristic, complemented
28#21455659C211yesmaximal, characteristic, complemented
29#21455604C211yesmaximal, characteristic, complemented
30#21454954C211yesmaximal, characteristic, complemented
31C61×#3347C211yesmaximal, characteristic, complemented
32#16840514—21no—
33#16840507—21no—
34#16840492C2211yescharacteristic
35#16840489C2211yescharacteristic
36#16840482—21no—
37#16840482C2211yescharacteristic
38#16840481—21no—
39#16840481—21no—
40#16840480—21no—
41#16840480C2211yescharacteristic
42#16840480C2211yescharacteristic
43#16840480C2211yescharacteristic
44#16840476—21no—
45#16840476C2211yescharacteristic
46#16840471C2211yescharacteristic
47#16840464C2211yescharacteristic
48#16840452C2211yescharacteristic
49#16840449—21no—
50#16840447C2211yescharacteristic
51D4×Dic122C2211yescharacteristic
52#16840418C2211yescharacteristic
53#16840418C2211yescharacteristic
54#16840393C2211yescharacteristic
55#16840390C2211yescharacteristic
56#16840380—21no—
57#16840379—21no—
58#16840379C2211yescharacteristic
59#16840379C2211yescharacteristic
60#16840379C2211yescharacteristic
61#16840379C2211yescharacteristic
62#16840376—21no—
63#16840376—21no—
64#16840369—21no—
65#16840354—21no—
66#16840318C2211yescharacteristic
67#16840317C2211yescharacteristic
68#16840315—21no—
69#16840294C2211yescharacteristic
70#16840294C2211yescharacteristic
71#16840293—21no—
72#16840239C2211yescharacteristic
73#16840239C2211yescharacteristic
74C4×#11758224C2211yescharacteristic
75#16840170C2211yescharacteristic
76#16840170C2211yescharacteristic
77#16840168C2211yescharacteristic
78#16840166C2211yescharacteristic
79#16840159C2211yescharacteristic
80#16840132C2211yescharacteristic
81#16840131C2211yescharacteristic
82#16840120C2211yescharacteristic
83#16840120C2211yescharacteristic
84#16840115C2211yescharacteristic
85#16840115C2211yescharacteristic
86#16840106C2211yescharacteristic
87#16840106C2211yescharacteristic
88#16840106C2211yescharacteristic
89#16840105C2211yescharacteristic
90#16840105C2211yescharacteristic
91#16840104C2211yescharacteristic
92#16840103C2211yescharacteristic
93#16840103C2211yescharacteristic
94#16840103C2211yescharacteristic
95#16840097C2211yescharacteristic
96#16840093C2211yescharacteristic
97#16840085C2211yescharacteristic
98#16840083C2211yescharacteristic
99#16840078C2211yescharacteristic
100#16840072C2211yescharacteristic
101#16840072C2211yescharacteristic
102#16840072C2211yescharacteristic
103#16840070C2211yescharacteristic
104#16840068C2211yescharacteristic
105#16840068C2211yescharacteristic
106#16840068C2211yescharacteristic
107#16840068C2211yescharacteristic
108#16840066C2211yescharacteristic
109#16840064C2211yescharacteristic
110#16840062C2211yescharacteristic
111#16840056C2211yescharacteristic
112#16840056C2211yescharacteristic
113#16840056C2211yescharacteristic
114#16840056C2211yescharacteristic
115#16840056C2211yescharacteristic
116#16840056C2211yescharacteristic
117#16840050C2211yescharacteristic
118#16840050C2211yescharacteristic
119#16840046C2211yescharacteristic
120#16840046C2211yescharacteristic
121#16840046C2211yescharacteristic
122#16840046C2211yescharacteristic
123#16840046C2211yescharacteristic
124#16840046C2211yescharacteristic
125#16840044C2211yescharacteristic
126#16840040C2211yescharacteristic
127#16840040C2211yescharacteristic
128#16840020C2211yescharacteristic
129#16840006C2211yescharacteristic
130#16840006C2211yescharacteristic
131#16840004C2211yescharacteristic
132#16840004C2211yescharacteristic
133#16840003C2211yescharacteristic
134#16839990C2211yescharacteristic
135#16839990C2211yescharacteristic
136#16839989C2211yescharacteristic
137#16839989C2211yescharacteristic
138#16839983C2211yescharacteristic
139#16839983C2211yescharacteristic
140#16839983C2211yescharacteristic
141#16839983C2211yescharacteristic
142#16839983C2211yescharacteristic
143#16839975C2211yescharacteristic
144#16839975C2211yescharacteristic
145#16839975C2211yescharacteristic
146#16839973C2211yescharacteristic
147#16839967C2211yescharacteristic
148#16839925C2211yescharacteristic
149#16839920C2211yescharacteristic
150#16839920C2211yescharacteristic
151#16839904C2211yescharacteristic
152#16839900C2211yescharacteristic
153#16839900C2211yescharacteristic
154#16839891C2211yescharacteristic
155#16839890C2211yescharacteristic
156#16839870C2211yescharacteristic
157#16839868C2211yescharacteristic
158#16839868C2211yescharacteristic
159#16839862C2211yescharacteristic
160#16839862C2211yescharacteristic
161#16839859C2211yescharacteristic
162#16839859C2211yescharacteristic
163#16839856C2211yescharacteristic
164#16839856C2211yescharacteristic
165#16839853C2211yescharacteristic
166#16839853C2211yescharacteristic
167#16839836C2211yescharacteristic
168#16839834C2211yescharacteristic
169#16839831C2211yescharacteristic
170C8×C22⋊D61C2211yescharacteristic
171#16839825C2211yescharacteristic
172#16839820C2211yescharacteristic
173#16839820C2211yescharacteristic
174#16839817C2211yescharacteristic
175#16839805C2211yescharacteristic
176#16839799C2211yescharacteristic
177#16839798C2211yescharacteristic
178#16839797C2211yescharacteristic
179#16839790C2211yescharacteristic
180#16839788C2211yescharacteristic
181C4⋊C8×D61C2211yescharacteristic
182#16839772C2211yescharacteristic
183#16839770C2211yescharacteristic
184#16839755C2211yescharacteristic
185#16839755C2211yescharacteristic
186C2×#14519702C2211yescharacteristic
187C2×#14519700C2211yescharacteristic
188C61×#555C2211yescharacteristic
189C61×#553C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#482C2211yescharacteristic
192C61×#482C2211yescharacteristic
193C61×#482C2211yescharacteristic
194C61×#480C2211yescharacteristic
195C61×#478C2211yescharacteristic
196C61×#474C2211yescharacteristic
197C61×#469C2211yescharacteristic
198C61×#466C2211yescharacteristic
199C61×#442C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#428C2211yescharacteristic
202C61×#427C2211yescharacteristic
203C2×#11758224C2311yescharacteristic
204C22×Dic122C2311yescharacteristic
205C22×Dic122C2311yescharacteristic
206C2×Dic244C2311yescharacteristic
207C2×Dic244C2311yescharacteristic
208C2×Dic244C2311yescharacteristic
209C2×#11758200C2311yescharacteristic
210C2×#11758200C2311yescharacteristic
211C2×#11758200C2311yescharacteristic
212C2×#11758200C2311yescharacteristic
213C2×#11758194C2311yescharacteristic
214C22×#92418C2311yescharacteristic
215C2×C8×D61C2311yescharacteristic
216C2×C8×D61C2311yescharacteristic
217#14519777—21no—
218#14519777C2311yescharacteristic
219#14519776—21no—
220#14519776—21no—
221#14519776—21no—
222#14519776—21no—
223#14519776C2311yescharacteristic
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519775—21no—
230#14519775—21no—
231#14519772—21no—
232#14519771—21no—
233#14519771—21no—
234#14519771—21no—
235#14519770—21no—
236#14519770—21no—
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519770—21no—
242#14519770—21no—
243#14519770—21no—
244#14519770—21no—
245#14519770—21no—
246#14519770—21no—
247#14519770D411yescharacteristic
248#14519770D411yescharacteristic
249#14519769—21no—
250#14519769C2311yescharacteristic
251#14519768—21no—
252#14519768—21no—
253#14519768D411yescharacteristic
254#14519768C2311yescharacteristic
255#14519768C2311yescharacteristic
256#14519768C2311yescharacteristic
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519767—21no—
261#14519764—21no—
262#14519764—21no—
263#14519764—21no—
264#14519764—21no—
265#14519764—21no—
266#14519764D411yescharacteristic
267#14519764C2311yescharacteristic
268#14519764C2311yescharacteristic
269#14519764C2311yescharacteristic
270#14519763—21no—
271#14519763—21no—
272#14519763—21no—
273#14519763—21no—
274#14519763—21no—
275#14519763—21no—
276#14519761—21no—
277#14519760—21no—
278#14519759—21no—
279#14519759D411yescharacteristic
280#14519759D411yescharacteristic
281#14519758—21no—
282#14519758—21no—
283#14519758—21no—
284#14519758—21no—
285#14519758—21no—
286#14519757D411yescharacteristic
287#14519757C2311yescharacteristic
288#14519757C2311yescharacteristic
289#14519757C2311yescharacteristic
290#14519756—21no—
291#14519756—21no—
292#14519756—21no—
293#14519756—21no—
294#14519756C2311yescharacteristic
295#14519756C2311yescharacteristic
296#14519756C2311yescharacteristic
297#14519756C2311yescharacteristic
298#14519755—21no—
299#14519755—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#14519754—21no—
310#14519754—21no—
311#14519754—21no—
312#14519753—21no—
313#14519749—21no—
314#14519749—21no—
315#14519749—21no—
316#14519749—21no—
317#14519748D411yescharacteristic
318#14519748C2311yescharacteristic
319Q8×Dic61—21no—
320C4×Dic122—21no—
321C4×Dic122—21no—
322C4×Dic122—21no—
323C4×Dic122—21no—
324C4×Dic122—21no—
325C4×Dic122—21no—
326C4×Dic122—21no—
327C4×Dic122C2311yescharacteristic
328C4×Dic122C2311yescharacteristic
329C4×Dic122C2311yescharacteristic
330#14519742—21no—
331#14519742—21no—
332#14519742—21no—
333#14519742—21no—
334#14519742C2311yescharacteristic
335#14519742C2311yescharacteristic
336#14519742C2311yescharacteristic
337#14519742C2311yescharacteristic
338#14519742C2311yescharacteristic
339#14519742C2311yescharacteristic
340#14519742C2311yescharacteristic
341#14519742C2311yescharacteristic
342#14519742C2311yescharacteristic
343D4×Dic61—21no—
344D4×Dic61—21no—
345D4×Dic61—21no—
346D4×Dic61—21no—
347D4×Dic61C2311yescharacteristic
348D4×Dic61C2311yescharacteristic
349D4×Dic61C2311yescharacteristic
350C4×C22⋊D61—21no—
351C4×C22⋊D61—21no—
352C4×C22⋊D61C2311yescharacteristic
353C4×C22⋊D61C2311yescharacteristic
354#14519737—21no—
355#14519736—21no—
356#14519736—21no—
357#14519736—21no—
358#14519736C2311yescharacteristic
359#14519736C2311yescharacteristic
360#14519736C2311yescharacteristic
361#14519735—21no—
362#14519735C2311yescharacteristic
363#14519735C2311yescharacteristic
364#14519735C2311yescharacteristic
365#14519733—21no—
366#14519733—21no—
367#14519733—21no—
368#14519733—21no—
369#14519733—21no—
370#14519733—21no—
371#14519733—21no—
372C2×C4⋊Dic61C2311yescharacteristic
373C2×#11758196—21no—
374C2×C4×Dic61—21no—
375C42×D61C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391C4⋊#92418C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×D8×C61C2311yescharacteristic
436C2×M16×C61C2311yescharacteristic
437C22×C8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#126×C61—21no—
440#125×C61C2311yescharacteristic
441#124×C61—21no—
442#124×C61—21no—
443#123×C61—21no—
444#121×C61—21no—
445#121×C61—21no—
446#121×C61C2311yescharacteristic
447#121×C61C2311yescharacteristic
448#121×C61C2311yescharacteristic
449#121×C61C2311yescharacteristic
450C4×D4×C61—21no—
451C4×D4×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454#117×C61—21no—
455#117×C61C2311yescharacteristic
456#117×C61C2311yescharacteristic
457#117×C61C2311yescharacteristic
458C2×C4⋊C4×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×D4×C61—21no—
480C2×D4×C61—21no—
481C2×D4×C61—21no—
482C2×D4×C61—21no—
483C2×D4×C61C2×D411yescharacteristic
484C2×D4×C61C2411yescharacteristic
485C2×D4×C61C2411yescharacteristic
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61C2411yescharacteristic
490C22×C4×C61C2411yescharacteristic
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61C2×D411yescharacteristic
494C2×C22⋊D61C2×D411yescharacteristic
495C22×Dic61—21no—
496C22×Dic61—21no—
497C22×Dic61—21no—
498C22×Dic61—21no—
499C22×Dic61—21no—
500C22×Dic61—21no—
501C22×Dic61—21no—
502#11758224—22no—
503#11758224—41no—
504C2×C4×D61C2×D411yescharacteristic
505C2×C4×D61C2×D411yescharacteristic
506C2×C4×D61C2411yescharacteristic
507C2×Dic122—22no—
508C2×Dic122—22no—
509C2×Dic122—21no—
510C2×Dic122—21no—
511C2×Dic122—21no—
512C2×Dic122—21no—
513C2×Dic122—21no—
514C2×Dic122—21no—
515C2×Dic122—21no—
516C2×Dic122—21no—
517C2×Dic122—41no—
518C2×Dic122—41no—
519C2×Dic122C2×D411yescharacteristic
520C2×Dic122C2411yescharacteristic
521C2×Dic122C2411yescharacteristic
522C2×Dic122C2411yescharacteristic
523C2×Dic122C2411yescharacteristic
524D8×C61—41no—
525M16×C61—41no—
526C2×C8×C61—41no—
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×C61C2×D411yescharacteristic
536C4⋊C4×C61C2411yescharacteristic
537C4⋊C4×C61C2411yescharacteristic
538C4⋊C4×C61C2411yescharacteristic
539C4⋊C4×C61C2411yescharacteristic
540C4⋊C4×C61C2411yescharacteristic
541C4⋊C4×C61C2411yescharacteristic
542C22⋊C4×C61—21no—
543C22⋊C4×C61—21no—
544C22⋊C4×C61—21no—
545C22⋊C4×C61—21no—
546C22⋊C4×C61—21no—
547C22⋊C4×C61—21no—
548C22⋊C4×C61—21no—
549C22⋊C4×C61—21no—
550C22⋊C4×C61—21no—
551C22⋊C4×C61C2×D411yescharacteristic
552C22⋊C4×C61C2×D411yescharacteristic
553C42×C61—21no—
554C42×C61—21no—
555C42×C61—21no—
556C42×C61C2411yescharacteristic
557C22⋊Dic61—21no—
558C22⋊Dic61—21no—
559C22⋊Dic61—21no—
560C22⋊Dic61—21no—
561C22⋊Dic61—21no—
562C22⋊Dic61—21no—
563C22⋊Dic61—21no—
564C22⋊Dic61—21no—
565C22⋊Dic61—21no—
566C22⋊Dic61—21no—
567C22⋊Dic61—21no—
568C22⋊Dic61—21no—
569C22⋊Dic61—21no—
570C22⋊Dic61—21no—
571C22⋊Dic61—21no—
572C22⋊Dic61C2×D411yescharacteristic
573C22⋊Dic61C2×D411yescharacteristic
574C22⋊Dic61C2×D411yescharacteristic
575C22⋊Dic61C2×D411yescharacteristic
576C22⋊Dic61C2×D411yescharacteristic
577C22⋊Dic61C2×D411yescharacteristic
578#11758200—22no—
579#11758200—41no—
580#11758200—41no—
581#11758200—41no—
582#11758198—21no—
583#11758198—21no—
584#11758198—21no—
585#11758198—21no—
586#11758198—21no—
587#11758198—21no—
588#11758198C2×D411yescharacteristic
589#11758198C2×D411yescharacteristic
590C4⋊Dic61—21no—
591C4⋊Dic61—21no—
592C4⋊Dic61—21no—
593C4⋊Dic61—21no—
594C4⋊Dic61—21no—
595C4⋊Dic61—21no—
596C4⋊Dic61—21no—
597C4⋊Dic61—21no—
598C4⋊Dic61—21no—
599C4⋊Dic61C2×D411yescharacteristic
600C4⋊Dic61C2×D411yescharacteristic
601C4⋊Dic61C2×D411yescharacteristic
602C4⋊Dic61C2×D411yescharacteristic
603C4⋊Dic61C2×D411yescharacteristic
604C4⋊Dic61C2411yescharacteristic
605C4⋊Dic61C2411yescharacteristic
606C4⋊Dic61C2411yescharacteristic
607C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196C2×D411yescharacteristic
635#11758196C2×D411yescharacteristic
636#11758196C2×D411yescharacteristic
637#11758196C2×D411yescharacteristic
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×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61C2×D411yescharacteristic
654C4×Dic61C2×D411yescharacteristic
655C4×Dic61C2411yescharacteristic
656C4×Dic61C2411yescharacteristic
657C4×Dic61C2411yescharacteristic
658#11758194—41no—
659C2×#92418—41no—
660C2×#92418C2411yescharacteristic
661C2×#92418C2411yescharacteristic
662C2×#92418C2411yescharacteristic
663C2×#92418C2411yescharacteristic
664Dic244—22no—
665Dic244—41no—
666Dic244—41no—
667C8×D61—41no—
668C8×D61—41no—
669C23×C61—21no—
670C23×C61—21no—
671C23×C61C22×D411yescharacteristic
672C23×C61C22×D411yescharacteristic
673C22×D61C22×D411yescharacteristic
674Q8×C61—81no—
675D4×C61—21no—
676D4×C61—21no—
677D4×C61—21no—
678D4×C61—21no—
679D4×C61—41no—
680D4×C61—81no—
681D4×C61—81no—
682D4×C61—81no—
683D4×C61—81no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—42no—
695C2×C4×C61—81no—
696C2×C4×C61—81no—
697C2×C4×C61C22×D411yescharacteristic
698C2×C4×C61C22×D411yescharacteristic
699C2×C4×C61C22×D411yescharacteristic
700C2×C4×C61C22×D411yescharacteristic
701C2×C4×C61C2511yescharacteristic
702C22⋊D61—41no—
703C22⋊D61—41no—
704C22⋊D61—42no—
705C22⋊D61—81no—
706C2×Dic61—21no—
707C2×Dic61—21no—
708C2×Dic61—21no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—42no—
715C2×Dic61—42no—
716C2×Dic61—42no—
717C2×Dic61—81no—
718C2×Dic61—81no—
719C2×Dic61—81no—
720C2×Dic61—81no—
721C2×Dic61C22×D411yescharacteristic
722C2×Dic61C22×D411yescharacteristic
723C2×Dic61C22×D411yescharacteristic
724C2×Dic61C22×D411yescharacteristic
725C2×Dic61C22×D411yescharacteristic
726C2×Dic61C22×D411yescharacteristic
727C2×Dic61C22×D411yescharacteristic
728C4×D61—21no—
729C4×D61—21no—
730C4×D61—41no—
731C4×D61—41no—
732Dic122—21no—
733Dic122—21no—
734Dic122—21no—
735Dic122—21no—
736Dic122—21no—
737Dic122—21no—
738Dic122—21no—
739Dic122—41no—
740Dic122—42no—
741Dic122—42no—
742Dic122—81no—
743Dic122—81no—
744Dic122—81no—
745Dic122—81no—
746Dic122—81no—
747Dic122—81no—
748Dic1222−1+412yes—
749C8×C61—21no—
750C8×C61—21no—
751C8×C61—21no—
752C8×C61—21no—
753#92418—21no—
754#92418—21no—
755#92418—21no—
756#92418—21no—
757#62161—611nomaximal, Sylow
758C22×C61—21no—
759C22×C61—21no—
760C22×C61—21no—
761C22×C61—21no—
762C22×C61—21no—
763C22×C61—21no—
764C22×C61—41no—
765C22×C61—41no—
766C22×C61—41no—
767C22×C61—41no—
768C22×C61—41no—
769C22×C61—41no—
770C22×C61C23×D411yescharacteristic
771C2×D61—21no—
772C2×D61—21no—
773C2×D61—21no—
774C4×C61—21no—
775C4×C61—21no—
776C4×C61—21no—
777C4×C61—21no—
778C4×C61—41no—
779C4×C61—41no—
780C4×C61—41no—
781C4×C61—41no—
782C4×C61—41no—
783C4×C61—41no—
784C4×C61C2×2−1+411yescharacteristic
785C4×C61#58511yescharacteristic
786Dic61—21no—
787Dic61—21no—
788Dic61—21no—
789Dic61—21no—
790Dic61—21no—
791Dic61—21no—
792Dic61—22no—
793Dic61—21no—
794Dic61—41no—
795Dic61—41no—
796Dic61—41no—
797Dic61—41no—
798Dic61—41no—
799Dic61—41no—
800Dic61—41no—
801#3565—611no—
802#3518—611no—
803#3387—611no—
804#3385—611no—
805#3377—611no—
806#3376—611no—
807#3350—611no—
808#3349—611no—
809#3348—611no—
810#3347D6111yescharacteristic, complemented
811#3342—611no—
812#3340—611no—
813#3321—611no—
814#3320—611no—
815#3313—611no—
816#3312—611no—
817#3301—611no—
818#3300—611no—
819#3263—611no—
820#3262—611no—
821#3248—611no—
822#3244—611no—
823#3243—611no—
824#3237—611no—
825#3121—611no—
826#3121—611no—
827#3111—611no—
828#3082—611no—
829#3082—611no—
830#3076—611no—
831#2992—611no—
832C2×C61—41no—
833C2×C61—41no—
834C2×C61—81no—
835C2×C61—81no—
836C2×C61#348911yescharacteristic
837C2×C61#358411yescharacteristic
838C2×C61#358611yescharacteristic
839D61—41no—
840#563—1221no—
841#562—1221no—
842Q82—611no—
843#557—611no—
844#556—611no—
845#556—611no—
846#556—611no—
847#556—611no—
848#556—1221no—
849#556—1221no—
850#556—1221no—
851#556—1221no—
852#555—611no—
853#555—1221no—
854#555C2×D6111yescharacteristic
855#554—611no—
856#553—611no—
857#553C2×D6111yescharacteristic
858#552—611no—
859#552—611no—
860#552—1221no—
861D4×Q8—611no—
862#548—611no—
863#548—611no—
864#544—611no—
865#544—611no—
866#542—611no—
867#542—611no—
868#542—611no—
869#542—611no—
870#542—1221no—
871#542—1221no—
872#542—1221no—
873#542—1221no—
874#541—1221no—
875#539—1221no—
876#533—611no—
877#533—611no—
878#533—1221no—
879#529—611no—
880#529—611no—
881#529—1221no—
882#519—611no—
883#519—611no—
884C4×#41—611no—
885#501—611no—
886#501—611no—
887#501—611no—
888#501C2×D6111yescharacteristic
889#500—611no—
890#498—611no—
891#491—611no—
892#491—611no—
893#489—611no—
894#489—611no—
895#488—611no—
896#488—611no—
897#485—611no—
898#485—611no—
899#485—611no—
900#485—611no—
901#485—611no—
902#485—611no—
903#485—611no—
904#485—611no—
905#485—611no—
906#484—611no—
907#483—611no—
908#482—611no—
909#482—611no—
910#482C2×D6111yescharacteristic
911#482C2×D6111yescharacteristic
912#482C2×D6111yescharacteristic
913#481—611no—
914#480C2×D6111yescharacteristic
915#479—611no—
916#479—611no—
917#479—611no—
918#479—611no—
919#479—611no—
920#479—611no—
921#479—611no—
922#479—611no—
923#479—611no—
924#478—611no—
925#478—611no—
926#478C2×D6111yescharacteristic
927#477—611no—
928#477—611no—
929#477—611no—
930#477—611no—
931#477—611no—
932#477—611no—
933#476—611no—
934#476—611no—
935#475—611no—
936#475—611no—
937#475—611no—
938#475—611no—
939#475—611no—
940#475—611no—
941#475—611no—
942#474—611no—
943#474—611no—
944#474C2×D6111yescharacteristic
945#470—611no—
946#469C2×D6111yescharacteristic
947#468—611no—
948#468—611no—
949#467—611no—
950#467—611no—
951#467—611no—
952#466C2×D6111yescharacteristic
953#465—611no—
954#465—611no—
955#465—611no—
956#465—611no—
957#464—611no—
958#464—611no—
959#464—611no—
960#464—611no—
961#464—611no—
962#463—611no—
963#463—611no—
964#463—611no—
965#462—611no—
966#461—611no—
967#452—611no—
968#451—611no—
969#451—611no—
970#449—611no—
971#448—611no—
972#448—611no—
973#446—611no—
974#446—611no—
975#442C2×D6111yescharacteristic
976#441—611no—
977#441—611no—
978#441—611no—
979#440—611no—
980#440—611no—
981#440—611no—
982#440—611no—
983C4×Q16—611no—
984C4×Q16—611no—
985C4×SD16—611no—
986C4×SD16—611no—
987#435—611no—
988#435—611no—
989#435—611no—
990#435C2×D6111yescharacteristic
991C8×D4—611no—
992C8×D4—611no—
993#433—611no—
994#433—611no—
995#432—611no—
996#428—611no—
997#428C2×D6111yescharacteristic
998#427—611no—
999#427—611no—
1000#427—611no—
1001#427C2×D6111yescharacteristic
1002#424—611no—
1003#424—611no—
1004C2×C4⋊C8—611no—
1005#419—611no—
1006#419—611no—
1007#416—611no—
1008#416—611no—
1009C2×#103—611no—
1010C2×#103—611no—
1011C61#6216111yescharacteristic, complemented, Sylow
1012C2×#41—611no—
1013C22×Q8—611no—
1014C22×Q8—611no—
1015C2×Q16—611no—
1016C2×Q16—611no—
1017C2×Q16—611no—
1018C2×SD16—611no—
1019C2×SD16—611no—
1020C2×SD16—611no—
1021C2×SD16—611no—
1022C2×D8C22×D6111yescharacteristic
1023C2×M16—611no—
1024C2×M16C22×D6111yescharacteristic
1025C22×C8—611no—
1026C22×C8—611no—
1027C22×C8—611no—
1028C22×C8C22×D6111yescharacteristic
1029C4⋊Q8—611no—
1030C4⋊Q8—611no—
1031C4⋊Q8—611no—
1032C4⋊Q8—611no—
1033C4⋊Q8—611no—
1034C4⋊Q8—611no—
1035C4⋊Q8—611no—
1036C4⋊Q8—1221no—
1037C4⋊Q8—1221no—
1038C4⋊Q8—1221no—
1039C4⋊Q8—1221no—
1040C4⋊Q8—1221no—
1041C4⋊Q8—1221no—
1042C4⋊Q8—1221no—
1043C4⋊Q8C22×D6111yescharacteristic
1044#126—21no—
1045#126—611no—
1046#126—611no—
1047#126—1221no—
1048#126—1221no—
1049#126—1221no—
1050#126—1221no—
1051#126—1221no—
1052#126—1221no—
1053#126—1221no—
1054#126—1221no—
1055#126—1221no—
1056#126—1221no—
1057#126—1221no—
1058#126—1221no—
1059#126—1221no—
1060#126—1221no—
1061#126—1221no—
1062#126—1221no—
1063#125—611no—
1064#125—611no—
1065#125—611no—
1066#125—611no—
1067#125—611no—
1068#125—1221no—
1069#125—1221no—
1070#125—1221no—
1071#125—1221no—
1072#125—1221no—
1073#125—1221no—
1074#125—1221no—
1075#125C22×D6111yescharacteristic
1076#124—21no—
1077#124—21no—
1078#124—611no—
1079#124—611no—
1080#124—611no—
1081#124—611no—
1082#124—1221no—
1083#124—1221no—
1084#124—1221no—
1085#124—1221no—
1086#124—1221no—
1087#124—1221no—
1088#124—1221no—
1089#124—1221no—
1090#124—1221no—
1091#124—1221no—
1092#124—1221no—
1093#123—21no—
1094#123—611no—
1095#123—611no—
1096#123—1221no—
1097#123—1221no—
1098#123—1221no—
1099#123—1221no—
1100#123—1221no—
1101#123—1221no—
1102#123—1221no—
1103#123—1221no—
1104C22⋊Q8—611no—
1105C22⋊Q8—611no—
1106C22⋊Q8—611no—
1107C22⋊Q8—611no—
1108C22⋊Q8—611no—
1109C22⋊Q8—611no—
1110C22⋊Q8—611no—
1111C22⋊Q8—611no—
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—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131#121—21no—
1132#121—21no—
1133#121—611no—
1134#121—611no—
1135#121—1221no—
1136#121—1221no—
1137#121—1221no—
1138#121—1221no—
1139#121C22×D6111yescharacteristic
1140#121C22×D6111yescharacteristic
1141#121C22×D6111yescharacteristic
1142#121C22×D6111yescharacteristic
1143C4×Q8—611no—
1144C4×Q8—611no—
1145C4×Q8—611no—
1146C4×Q8—611no—
1147C4×Q8—611no—
1148C4×Q8—611no—
1149C4×Q8—611no—
1150C4×Q8—611no—
1151C4×Q8—611no—
1152C4×Q8—611no—
1153C4×Q8—611no—
1154C4×Q8—611no—
1155C4×Q8—1221no—
1156C4×Q8—1221no—
1157C4×Q8—1221no—
1158C4×Q8—1221no—
1159C4×Q8—1221no—
1160C4×Q8—1221no—
1161C4×Q8—1221no—
1162C4×Q8—1221no—
1163C4×Q8—1221no—
1164C4×Q8—1221no—
1165C4×Q8—1221no—
1166C4×Q8—1221no—
1167C4×D4—21no—
1168C4×D4—611no—
1169C4×D4—611no—
1170C4×D4—611no—
1171C4×D4—611no—
1172C4×D4—611no—
1173C4×D4—1221no—
1174C4×D4—1221no—
1175C4×D4—1221no—
1176C4×D4—1221no—
1177C4×D4—1221no—
1178C4×D4—1221no—
1179C4×D4—1221no—
1180C4×D4C22×D6111yescharacteristic
1181C4×D4C22×D6111yescharacteristic
1182C4×D4C22×D6111yescharacteristic
1183#117—21no—
1184#117—611no—
1185#117—611no—
1186#117—611no—
1187#117—611no—
1188#117—611no—
1189#117—611no—
1190#117—1221no—
1191#117—1221no—
1192#117—1221no—
1193#117—1221no—
1194#117—1221no—
1195#117—1221no—
1196#117—1221no—
1197#117—1221no—
1198#117—1221no—
1199#117—1221no—
1200#117—1221no—
1201#117C22×D6111yescharacteristic
1202#117C22×D6111yescharacteristic
1203#117C22×D6111yescharacteristic
1204C2×C4⋊C4—611no—
1205C2×C4⋊C4—1221no—
1206C2×C4⋊C4C22×D6111yescharacteristic
1207C2×C42—611no—
1208C2×C42—1221no—
1209#107—611no—
1210#107—611no—
1211#107—611no—
1212#107—611no—
1213#107—611no—
1214#107—611no—
1215#107—611no—
1216#107C22×D6111yescharacteristic
1217#107C22×D6111yescharacteristic
1218#107C22×D6111yescharacteristic
1219#107C22×D6111yescharacteristic
1220#107C22×D6111yescharacteristic
1221#106—611no—
1222#106—611no—
1223#106—611no—
1224#106—611no—
1225#106—611no—
1226#106—611no—
1227#106—611no—
1228#106—611no—
1229#106C22×D6111yescharacteristic
1230#106C22×D6111yescharacteristic
1231#106C22×D6111yescharacteristic
1232#106C22×D6111yescharacteristic
1233C4⋊C8—611no—
1234C4⋊C8—611no—
1235C4⋊C8—611no—
1236C4⋊C8—611no—
1237C4⋊C8—611no—
1238C4⋊C8—611no—
1239C4⋊C8—611no—
1240C4⋊C8—611no—
1241C4⋊C8—611no—
1242C4⋊C8C22×D6111yescharacteristic
1243#103—611no—
1244#103—611no—
1245#103—611no—
1246#103—611no—
1247#103—611no—
1248#103—611no—
1249#103—611no—
1250#103—611no—
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#102—611no—
1266#102—611no—
1267#102—611no—
1268#102—611no—
1269#102C22×D6111yescharacteristic
1270#102C22×D6111yescharacteristic
1271#102C22×D6111yescharacteristic
1272#102C22×D6111yescharacteristic
1273#102C22×D6111yescharacteristic
1274#102C22×D6111yescharacteristic
1275C22⋊C8—611no—
1276C22⋊C8—611no—
1277C22⋊C8—611no—
1278C22⋊C8—611no—
1279C22⋊C8C22×D6111yescharacteristic
1280C22⋊C8C22×D6111yescharacteristic
1281#97—611no—
1282#97—611no—
1283#97—611no—
1284#97C22×D6111yescharacteristic
1285C4×C8—611no—
1286C4×C8—611no—
1287#41—1222no—
1288#41—2441no—
1289C2×Q8—21no—
1290C2×Q8—611no—
1291C2×Q8—611no—
1292C2×Q8—611no—
1293C2×Q8—611no—
1294C2×Q8—611no—
1295C2×Q8—1221no—
1296C2×Q8—1221no—
1297C2×Q8—1221no—
1298C2×Q8—1221no—
1299C2×Q8—1221no—
1300C2×Q8—1221no—
1301C2×Q8—1222no—
1302C2×Q8—1222no—
1303C2×Q8—1221no—
1304C2×Q8—1221no—
1305C2×Q8—2441no—
1306C2×Q8—2441no—
1307C2×D4—21no—
1308C2×D4—21no—
1309C2×D4—21no—
1310C2×D4—21no—
1311C2×D4—611no—
1312C2×D4—611no—
1313C2×D4—1221no—
1314C2×D4—1221no—
1315C2×D4D4×D6111yescharacteristic
1316C2×D4C23×D6111yescharacteristic
1317C2×D4C23×D6111yescharacteristic
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—611no—
1322C22×C4—611no—
1323C22×C4—611no—
1324C22×C4—1221no—
1325C22×C4—1221no—
1326C22×C4—1221no—
1327C22×C4—1221no—
1328C22×C4—1221no—
1329C22×C4—1221no—
1330C22×C4—1221no—
1331C22×C4C23×D6111yescharacteristic
1332C22×C4C23×D6111yescharacteristic
1333Q16—1222no—
1334Q16—2441no—
1335Q16—2441no—
1336SD16—1222no—
1337SD16—2441no—
1338SD16—2441no—
1339SD16—2441no—
1340D8—41no—
1341M16—41no—
1342M16—2441no—
1343C2×C8—41no—
1344C2×C8—611no—
1345C2×C8—611no—
1346C2×C8—611no—
1347C2×C8—611no—
1348C2×C8—2441no—
1349C2×C8—2441no—
1350C2×C8—2441no—
1351C2×C8C23×D6111yescharacteristic
1352C2×C8C23×D6111yescharacteristic
1353C2×C8C23×D6111yescharacteristic
1354C2×C8C23×D6111yescharacteristic
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
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—611no—
1370C4⋊C4—611no—
1371C4⋊C4—611no—
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⋊C4—1221no—
1404C4⋊C4—1221no—
1405C4⋊C4—1221no—
1406C4⋊C4—1221no—
1407C4⋊C4D4×D6111yescharacteristic
1408C4⋊C4C23×D6111yescharacteristic
1409C4⋊C4C23×D6111yescharacteristic
1410C4⋊C4C23×D6111yescharacteristic
1411C4⋊C4C23×D6111yescharacteristic
1412C4⋊C4C23×D6111yescharacteristic
1413C4⋊C4C23×D6111yescharacteristic
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—21no—
1419C22⋊C4—21no—
1420C22⋊C4—21no—
1421C22⋊C4—21no—
1422C22⋊C4—21no—
1423C22⋊C4—611no—
1424C22⋊C4—611no—
1425C22⋊C4—611no—
1426C22⋊C4—611no—
1427C22⋊C4—611no—
1428C22⋊C4—611no—
1429C22⋊C4—611no—
1430C22⋊C4—611no—
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—
1441C22⋊C4—1221no—
1442C22⋊C4—1221no—
1443C22⋊C4—1221no—
1444C22⋊C4—1221no—
1445C22⋊C4—1221no—
1446C22⋊C4—1221no—
1447C22⋊C4—1221no—
1448C22⋊C4—1221no—
1449C22⋊C4—1221no—
1450C22⋊C4—1221no—
1451C22⋊C4—1221no—
1452C22⋊C4D4×D6111yescharacteristic
1453C22⋊C4D4×D6111yescharacteristic
1454C42—21no—
1455C42—21no—
1456C42—21no—
1457C42—611no—
1458C42—611no—
1459C42—611no—
1460C42—611no—
1461C42—611no—
1462C42—1221no—
1463C42—1221no—
1464C42—1221no—
1465C42—1221no—
1466C42—1221no—
1467C42—1221no—
1468C42—1221no—
1469C42—1221no—
1470C42—1221no—
1471C42—1221no—
1472C42—1221no—
1473C42—1221no—
1474C42—1221no—
1475C42—1221no—
1476C42—1221no—
1477C42C23×D6111yescharacteristic
1478C23—21no—
1479C23—21no—
1480C23—611no—
1481C23C2×D4×D6111yescharacteristic
1482C23C2×D4×D6111yescharacteristic
1483Q8—81no—
1484Q8—612no—
1485Q8—1221no—
1486Q8—1221no—
1487Q8—1221no—
1488Q8—1221no—
1489Q8—1221no—
1490Q8—1221no—
1491Q8—1221no—
1492Q8—4881no—
1493Q8—4881no—
1494Q8—4881no—
1495Q8—4881no—
1496Q8—4881no—
1497Q8—4881no—
1498Q8—2441no—
1499Q8—2442no—
1500Q8—2442no—
1501D4—21no—
1502D4—21no—
1503D4—21no—
1504D4—21no—
1505D4—41no—
1506D4—81no—
1507D4—81no—
1508D4—81no—
1509D4—81no—
1510D4—4881no—
1511D4—2441no—
1512D4—2441no—
1513D4—2442no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—42no—
1525C2×C4—81no—
1526C2×C4—81no—
1527C2×C4—611no—
1528C2×C4—611no—
1529C2×C4—611no—
1530C2×C4—611no—
1531C2×C4—611no—
1532C2×C4—611no—
1533C2×C4—611no—
1534C2×C4—1221no—
1535C2×C4—1221no—
1536C2×C4—1221no—
1537C2×C4—1221no—
1538C2×C4—1221no—
1539C2×C4—1221no—
1540C2×C4—1221no—
1541C2×C4—1221no—
1542C2×C4—1221no—
1543C2×C4—1221no—
1544C2×C4—4881no—
1545C2×C4—4881no—
1546C2×C4—4881no—
1547C2×C4—4881no—
1548C2×C4—2441no—
1549C2×C4—2441no—
1550C2×C4—2442no—
1551C2×C4—2442no—
1552C2×C4—2442no—
1553C2×C4C2×D4×D6111yescharacteristic
1554C2×C4C2×D4×D6111yescharacteristic
1555C2×C4C2×D4×D6111yescharacteristic
1556C2×C4C2×D4×D6111yescharacteristic
1557C2×C4C24×D6111yescharacteristic
1558C8—21no—
1559C8—21no—
1560C8—21no—
1561C8—21no—
1562C8—1221no—
1563C8—1221no—
1564C8—1221no—
1565C8—1221no—
1566C22—21no—
1567C22—21no—
1568C22—21no—
1569C22—21no—
1570C22—21no—
1571C22—21no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—1221no—
1579C22—1221no—
1580C22—1221no—
1581C22C22×D4×D6111yescharacteristic
1582C4—21no—
1583C4—21no—
1584C4—21no—
1585C4—21no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—1221no—
1593C4—1222no—
1594C4—1221no—
1595C4—1221no—
1596C4—1221no—
1597C4—1221no—
1598C4—1221no—
1599C4—1221no—
1600C4—2441no—
1601C4—2441no—
1602C4—2441no—
1603C4—2441no—
1604C4—2441no—
1605C4—2441no—
1606C4—2441no—
1607C42−1+4×D6111yescharacteristic
1608C4#1684059811yescharacteristic
1609C2—41no—
1610C2—41no—
1611C2—81no—
1612C2—81no—
1613C2—2441no—
1614C2#2145949311yescharacteristic
1615C2#2146058711yescharacteristic
1616C2#2146060311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3347C2
socleC22×C61C23×D4
hypercenter#3347D61
hypocenterC61#62161
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3347

Complements

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

NH ≅ G/Ntype
1. #21460454C2semidirect
2. #21459835C2semidirect
3. #21458748C2semidirect
4. #21458724C2semidirect
5. #21458664C2semidirect
6. #21458647C2semidirect
7. #21458357C2semidirect
8. #21458350C2semidirect
9. #21458334C2semidirect
10. #21458247C2semidirect
11. #21458230C2semidirect
12. #21458000C2semidirect
13. #21457984C2semidirect
14. #21457888C2semidirect
15. #21457872C2semidirect
16. #21457727C2semidirect
17. #21457704C2semidirect
18. #21457289C2semidirect
19. #21457274C2semidirect
20. #21457158C2semidirect
21. #21457115C2semidirect
22. #21457098C2semidirect
23. #21457034C2semidirect
24. #21456043C2semidirect
25. #21456043C2semidirect
26. #21455924C2semidirect
27. #21455664C2semidirect
28. #21455659C2semidirect
29. #21455604C2semidirect
30. #21454954C2semidirect
31. C61×#3347C2semidirect
810. #3347D61semidirect
1011. C61#62161semidirect

Maximal subgroups

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

subgroupindex
#214604542
#214598352
#214587482
#214587242
#214586642
#214586472
#214583572
#214583502
#214583342
#214582472
#214582302
#214580002
#214579842
#214578882
#214578722
#214577272
#214577042
#214572892
#214572742
#214571582
#214571152
#214570982
#214570342
#214560432
#214559242
#214556642
#214556592
#214556042
#214549542
C61×#33472
#6216161