Finite Group Databasebeta

← #30570264

Subgroups — #30570264

Order 15616.

1668 conjugacy classes of subgroups.

The subgroup lattice has 1568 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459914C211yesmaximal, characteristic
2#557×D61C211yesmaximal, characteristic, complemented
3#21458788C211yesmaximal, characteristic, complemented
4#21458787C211yesmaximal, characteristic, complemented
5#21458782C211yesmaximal, characteristic, complemented
6#21458781C211yesmaximal, characteristic, complemented
7#21458741C211yesmaximal, characteristic, complemented
8#21458735C211yesmaximal, characteristic, complemented
9#21458710C211yesmaximal, characteristic, complemented
10#21458705C211yesmaximal, characteristic, complemented
11#21458660C211yesmaximal, characteristic, complemented
12#21458658C211yesmaximal, characteristic, complemented
13#21458655C211yesmaximal, characteristic, complemented
14#21458619C211yesmaximal, characteristic, complemented
15#21458617C211yesmaximal, characteristic, complemented
16#21458501C211yesmaximal, characteristic, complemented
17#21458499C211yesmaximal, characteristic, complemented
18#21457045C211yesmaximal, characteristic
19#21457023C211yesmaximal, characteristic, complemented
20#21457020C211yesmaximal, characteristic, complemented
21#21456985C211yesmaximal, characteristic
22#21456982C211yesmaximal, characteristic
23#21456969C211yesmaximal, characteristic, complemented
24#21455989C211yesmaximal, characteristic
25#21455988C211yesmaximal, characteristic
26#21455947C211yesmaximal, characteristic, complemented
27#21455898C211yesmaximal, characteristic
28#21455857C211yesmaximal, characteristic, complemented
29#21455856C211yesmaximal, characteristic, complemented
30#21454905C211yesmaximal, characteristic, complemented
31C61×#3377C211yesmaximal, characteristic, complemented
32#16840491C2211yescharacteristic
33#16840490—21no—
34#16840490C2211yescharacteristic
35#16840490C2211yescharacteristic
36#16840489—21no—
37#16840489—21no—
38#16840489C2211yescharacteristic
39#16840489C2211yescharacteristic
40#16840488C2211yescharacteristic
41#16840488C2211yescharacteristic
42#16840488C2211yescharacteristic
43#16840488C2211yescharacteristic
44#16840487—21no—
45#16840487C2211yescharacteristic
46#16840487C2211yescharacteristic
47#16840481C2211yescharacteristic
48#16840481C2211yescharacteristic
49#16840451—21no—
50#16840448—21no—
51#16840448—21no—
52D4×Dic122C2211yescharacteristic
53#16840425—21no—
54#16840372—21no—
55#16840369—21no—
56#16840369—21no—
57#16840317C2211yescharacteristic
58#16840316C2211yescharacteristic
59#16840316C2211yescharacteristic
60C4⋊Q8×D61—21no—
61C4⋊Q8×D61C2211yescharacteristic
62#16840294C2211yescharacteristic
63#16840291C2211yescharacteristic
64#16840291C2211yescharacteristic
65#125×D61—21no—
66#125×D61—21no—
67#125×D61C2211yescharacteristic
68#125×D61C2211yescharacteristic
69#16840239—21no—
70C4×Q8×D61—21no—
71C4×Q8×D61C2211yescharacteristic
72C4×Q8×D61C2211yescharacteristic
73C4×Q8×D61C2211yescharacteristic
74C4×Q8×D61C2211yescharacteristic
75#16840172C2211yescharacteristic
76#16840171C2211yescharacteristic
77#16840171C2211yescharacteristic
78#16840170C2211yescharacteristic
79#16840169C2211yescharacteristic
80#16840168C2211yescharacteristic
81#16840166C2211yescharacteristic
82#16840166C2211yescharacteristic
83#16840164C2211yescharacteristic
84#16840163C2211yescharacteristic
85#16840162C2211yescharacteristic
86#16840161C2211yescharacteristic
87#16840130C2211yescharacteristic
88#16840129C2211yescharacteristic
89#16840129C2211yescharacteristic
90#16840121C2211yescharacteristic
91#16840116C2211yescharacteristic
92#16840115C2211yescharacteristic
93#16840115C2211yescharacteristic
94#16840111C2211yescharacteristic
95#16840111C2211yescharacteristic
96#16840099C2211yescharacteristic
97#16840099C2211yescharacteristic
98#16840096C2211yescharacteristic
99#16840096C2211yescharacteristic
100#16840096C2211yescharacteristic
101#16840096C2211yescharacteristic
102#16840094C2211yescharacteristic
103#16840091C2211yescharacteristic
104#16840091C2211yescharacteristic
105#16840079C2211yescharacteristic
106#16840079C2211yescharacteristic
107#16840074C2211yescharacteristic
108#16840071C2211yescharacteristic
109#16840071C2211yescharacteristic
110#16840071C2211yescharacteristic
111#16840070C2211yescharacteristic
112#16840070C2211yescharacteristic
113#16840070C2211yescharacteristic
114#16840070C2211yescharacteristic
115#16840069C2211yescharacteristic
116#16840069C2211yescharacteristic
117#16840069C2211yescharacteristic
118#16840068C2211yescharacteristic
119#16840067C2211yescharacteristic
120#16840067C2211yescharacteristic
121#16840067C2211yescharacteristic
122#16840067C2211yescharacteristic
123#16840066C2211yescharacteristic
124#16840066C2211yescharacteristic
125#16840064C2211yescharacteristic
126#16840062C2211yescharacteristic
127#16840060C2211yescharacteristic
128#16840058C2211yescharacteristic
129#16840058C2211yescharacteristic
130#16840057C2211yescharacteristic
131#16840057C2211yescharacteristic
132#16840056C2211yescharacteristic
133#16840055C2211yescharacteristic
134#16840054C2211yescharacteristic
135#16840046C2211yescharacteristic
136#16840045C2211yescharacteristic
137#16840045C2211yescharacteristic
138#16840045C2211yescharacteristic
139#16840040C2211yescharacteristic
140#16840040C2211yescharacteristic
141#16839983C2211yescharacteristic
142#16839982C2211yescharacteristic
143#16839981C2211yescharacteristic
144#16839981C2211yescharacteristic
145#16839971C2211yescharacteristic
146#16839971C2211yescharacteristic
147#16839970C2211yescharacteristic
148#16839970C2211yescharacteristic
149#16839969C2211yescharacteristic
150#16839919C2211yescharacteristic
151#16839916C2211yescharacteristic
152#16839916C2211yescharacteristic
153#16839899C2211yescharacteristic
154#16839893C2211yescharacteristic
155#16839891C2211yescharacteristic
156#16839891C2211yescharacteristic
157#16839890C2211yescharacteristic
158#16839890C2211yescharacteristic
159C8×Dic122C2211yescharacteristic
160#16839886C2211yescharacteristic
161#16839870C2211yescharacteristic
162#16839870C2211yescharacteristic
163#16839869C2211yescharacteristic
164#16839867C2211yescharacteristic
165#16839867C2211yescharacteristic
166#16839867C2211yescharacteristic
167#16839866C2211yescharacteristic
168#16839863C2211yescharacteristic
169#16839862C2211yescharacteristic
170#16839859C2211yescharacteristic
171C4×Dic244C2211yescharacteristic
172Q16×Dic61C2211yescharacteristic
173Q16×Dic61C2211yescharacteristic
174Q16×Dic61C2211yescharacteristic
175C4×#11758202C2211yescharacteristic
176C4×#11758202C2211yescharacteristic
177#16839854C2211yescharacteristic
178#16839854C2211yescharacteristic
179#16839854C2211yescharacteristic
180#16839853C2211yescharacteristic
181SD16×Dic61C2211yescharacteristic
182#16839818C2211yescharacteristic
183#16839817C2211yescharacteristic
184#16839817C2211yescharacteristic
185#16839814C2211yescharacteristic
186#16839814C2211yescharacteristic
187#16839813C2211yescharacteristic
188C61×#557C2211yescharacteristic
189C61×#556C2211yescharacteristic
190C61×#491C2211yescharacteristic
191C61×#489C2211yescharacteristic
192C61×#488C2211yescharacteristic
193C61×#479C2211yescharacteristic
194C61×#478C2211yescharacteristic
195C61×#477C2211yescharacteristic
196C61×#464C2211yescharacteristic
197C61×#464C2211yescharacteristic
198C61×#462C2211yescharacteristic
199C61×#446C2211yescharacteristic
200C61×#441C2211yescharacteristic
201C61×#440C2211yescharacteristic
202C4×Q16×C61C2211yescharacteristic
203C22×Dic122—21no—
204C2×Q8×D61—21no—
205C2×Q8×D61D411yescharacteristic
206C2×Q8×D61C2311yescharacteristic
207C2×Dic244C2311yescharacteristic
208C2×#11758202C2311yescharacteristic
209C2×#11758202C2311yescharacteristic
210C2×#11758202C2311yescharacteristic
211C2×#11758200C2311yescharacteristic
212#14519777—21no—
213#14519777C2311yescharacteristic
214#14519777C2311yescharacteristic
215#14519776—21no—
216#14519776—21no—
217#14519776—21no—
218#14519776—21no—
219#14519776—21no—
220#14519776—21no—
221#14519776—21no—
222#14519776C2311yescharacteristic
223#14519776C2311yescharacteristic
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519775—21no—
227#14519775—21no—
228#14519775—21no—
229#14519775—21no—
230#14519775C2311yescharacteristic
231#14519775C2311yescharacteristic
232#14519770—21no—
233#14519770—21no—
234#14519770—21no—
235#14519770—21no—
236#14519770—21no—
237#14519770—21no—
238#14519770—21no—
239#14519769—21no—
240#14519769—21no—
241#14519769—21no—
242#14519769—21no—
243#14519769C2311yescharacteristic
244#14519769C2311yescharacteristic
245#14519769C2311yescharacteristic
246#14519769C2311yescharacteristic
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#14519768C2311yescharacteristic
256#14519768C2311yescharacteristic
257#14519768C2311yescharacteristic
258#14519768C2311yescharacteristic
259#14519768C2311yescharacteristic
260#14519767—21no—
261#14519767—21no—
262#14519767—21no—
263#14519767—21no—
264#14519767—21no—
265#14519767—21no—
266#14519767—21no—
267#14519767—21no—
268#14519767—21no—
269#14519767—21no—
270#14519767—21no—
271#14519767—21no—
272#14519767—21no—
273#14519767—21no—
274#14519767—21no—
275#14519767—21no—
276#14519767—21no—
277#14519767—21no—
278#14519764C2311yescharacteristic
279#14519759—21no—
280#14519759—21no—
281#14519759—21no—
282#14519757—21no—
283#14519757C2311yescharacteristic
284#14519756—21no—
285#14519755—21no—
286#14519755—21no—
287#14519754—21no—
288#14519754—21no—
289#14519754—21no—
290#14519754—21no—
291#14519753C2311yescharacteristic
292#14519753C2311yescharacteristic
293#14519748C2311yescharacteristic
294Q8×Dic61—21no—
295Q8×Dic61D411yescharacteristic
296Q8×Dic61C2311yescharacteristic
297Q8×Dic61C2311yescharacteristic
298Q8×Dic61C2311yescharacteristic
299Q8×Dic61C2311yescharacteristic
300Q8×Dic61C2311yescharacteristic
301Q8×Dic61C2311yescharacteristic
302Q8×Dic61C2311yescharacteristic
303C4×Dic122—21no—
304C4×Dic122—21no—
305C4×Dic122—21no—
306C4×Dic122—21no—
307C4×Dic122—21no—
308C4×Dic122—21no—
309C4×Dic122—21no—
310C4×Dic122—21no—
311C4×Dic122—21no—
312C4×Dic122—21no—
313C4×Dic122C2311yescharacteristic
314C4×Dic122C2311yescharacteristic
315C4×Dic122C2311yescharacteristic
316C4×Dic122C2311yescharacteristic
317C4×Dic122C2311yescharacteristic
318C4×Dic122C2311yescharacteristic
319C4×Dic122C2311yescharacteristic
320C4×Dic122C2311yescharacteristic
321C4×Dic122C2311yescharacteristic
322#14519742—21no—
323#14519742—21no—
324#14519742—21no—
325#14519742—21no—
326#14519742—21no—
327#14519742—21no—
328#14519742—21no—
329#14519742—21no—
330#14519742—21no—
331#14519742D411yescharacteristic
332#14519742D411yescharacteristic
333#14519742D411yescharacteristic
334#14519742C2311yescharacteristic
335#14519742C2311yescharacteristic
336#14519742C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339C4×C22⋊D61—21no—
340#14519737—21no—
341#14519737—21no—
342#14519736—21no—
343#14519735—21no—
344#14519734—21no—
345#14519734—21no—
346#14519733—21no—
347#14519733—21no—
348#14519733—21no—
349#14519733—21no—
350C4⋊C4×D61—21no—
351C4⋊C4×D61—21no—
352C4⋊C4×D61—21no—
353C4⋊C4×D61—21no—
354C4⋊C4×D61—21no—
355C4⋊C4×D61—21no—
356C4⋊C4×D61—21no—
357C4⋊C4×D61—21no—
358C4⋊C4×D61D411yescharacteristic
359C4⋊C4×D61D411yescharacteristic
360C4⋊C4×D61D411yescharacteristic
361C4⋊C4×D61C2311yescharacteristic
362C4⋊C4×D61C2311yescharacteristic
363C4⋊C4×D61C2311yescharacteristic
364C42×D61—21no—
365C42×D61—21no—
366C42×D61—21no—
367C42×D61C2311yescharacteristic
368C42×D61C2311yescharacteristic
369C42×D61C2311yescharacteristic
370#14519711C2311yescharacteristic
371#14519711C2311yescharacteristic
372#14519711C2311yescharacteristic
373#14519711C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519710C2311yescharacteristic
376#14519710C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519709C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391C4⋊#92418C2311yescharacteristic
392C4⋊#92418C2311yescharacteristic
393C4⋊#92418C2311yescharacteristic
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#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519689C2311yescharacteristic
423#14519689C2311yescharacteristic
424#14519689C2311yescharacteristic
425#14519689C2311yescharacteristic
426#14519688C2311yescharacteristic
427#14519688C2311yescharacteristic
428#14519687C2311yescharacteristic
429#14519687C2311yescharacteristic
430C4×#92418C2311yescharacteristic
431C8×Dic61C2311yescharacteristic
432C8×Dic61C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×Q16×C61C2311yescharacteristic
436C2×Q16×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C4⋊Q8×C61—21no—
439C4⋊Q8×C61C2311yescharacteristic
440C4⋊Q8×C61C2311yescharacteristic
441#126×C61—21no—
442#126×C61—21no—
443#125×C61—21no—
444#125×C61—21no—
445#125×C61C2311yescharacteristic
446#125×C61C2311yescharacteristic
447#124×C61C2311yescharacteristic
448#124×C61C2311yescharacteristic
449C22⋊Q8×C61—21no—
450C4×Q8×C61—21no—
451C4×Q8×C61C2311yescharacteristic
452C4×Q8×C61C2311yescharacteristic
453C4×Q8×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×Q8×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458#117×C61—21no—
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#106×C61C2311yescharacteristic
462C4⋊C8×C61C2311yescharacteristic
463C4⋊C8×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#103×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
474#102×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×Q8×C61C2×D411yescharacteristic
480C2×Q8×C61C2411yescharacteristic
481C2×Q8×C61C2411yescharacteristic
482C2×Q8×C61C2411yescharacteristic
483C2×D4×C61C2411yescharacteristic
484C22×C4×C61—21no—
485C2×C22⋊D61—21no—
486C22×Dic61—21no—
487C22×Dic61—21no—
488Q8×D61—22no—
489Q8×D61—22no—
490Q8×D61—42no—
491Q8×D61—44no—
492C2×C4×D61—21no—
493C2×C4×D61—21no—
494C2×C4×D61—21no—
495C2×C4×D61—21no—
496C2×C4×D61C2×D411yescharacteristic
497C2×C4×D61C2×D411yescharacteristic
498C2×C4×D61C2×D411yescharacteristic
499C2×C4×D61C2×D411yescharacteristic
500C2×C4×D61C2×D411yescharacteristic
501C2×C4×D61C2×D411yescharacteristic
502C2×C4×D61C2411yescharacteristic
503C2×Dic122—21no—
504C2×Dic122—21no—
505C2×Dic122—21no—
506C2×Dic122—21no—
507C2×Dic122—21no—
508C2×Dic122—21no—
509C2×Dic122—21no—
510C2×Dic122—44no—
511C2×Dic122C2×D411yescharacteristic
512C2×Dic122C2×D411yescharacteristic
513C2×Dic122C2×D411yescharacteristic
514C2×Dic122C2411yescharacteristic
515C2×Dic122C2411yescharacteristic
516Q16×C61—22no—
517Q16×C61—22no—
518SD16×C61—22no—
519C2×C8×C61C2411yescharacteristic
520C2×C8×C61C2411yescharacteristic
521C2×C8×C61C2411yescharacteristic
522C2×C8×C61C2411yescharacteristic
523C4⋊C4×C61—21no—
524C4⋊C4×C61—21no—
525C4⋊C4×C61—21no—
526C4⋊C4×C61—21no—
527C4⋊C4×C61—21no—
528C4⋊C4×C61—21no—
529C4⋊C4×C61—21no—
530C4⋊C4×C61—21no—
531C4⋊C4×C61—21no—
532C4⋊C4×C61—21no—
533C4⋊C4×C61—21no—
534C4⋊C4×C61—21no—
535C4⋊C4×C61C2×D411yescharacteristic
536C4⋊C4×C61C2×D411yescharacteristic
537C4⋊C4×C61C2×D411yescharacteristic
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—
547C42×C61—21no—
548C42×C61—21no—
549C42×C61—21no—
550C42×C61—21no—
551C42×C61—21no—
552C42×C61C2411yescharacteristic
553C42×C61C2411yescharacteristic
554C42×C61C2411yescharacteristic
555C22⋊Dic61—21no—
556C22⋊Dic61—21no—
557C22⋊Dic61—21no—
558C22⋊Dic61—21no—
559C22⋊Dic61—21no—
560#11758202—22no—
561#11758202—22no—
562#11758202—22no—
563#11758200—22no—
564#11758198—21no—
565#11758198—21no—
566#11758198—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⋊Dic61—21no—
581C4⋊Dic61—21no—
582C4⋊Dic61C2×D411yescharacteristic
583C4⋊Dic61C2×D411yescharacteristic
584C4⋊Dic61C2×D411yescharacteristic
585C4⋊Dic61C2411yescharacteristic
586C4⋊Dic61C2411yescharacteristic
587C4⋊Dic61C2411yescharacteristic
588C4⋊Dic61C2411yescharacteristic
589C4⋊Dic61C2411yescharacteristic
590C4⋊Dic61C2411yescharacteristic
591#11758196—21no—
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
632C4×Dic61—21no—
633C4×Dic61—21no—
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×Dic61C2×D411yescharacteristic
649C4×Dic61C2×D411yescharacteristic
650C4×Dic61C2×D411yescharacteristic
651C4×Dic61C2×D411yescharacteristic
652C4×Dic61C2×D411yescharacteristic
653C4×Dic61C2×D411yescharacteristic
654C4×Dic61C2411yescharacteristic
655C4×Dic61C2411yescharacteristic
656C4×Dic61C2411yescharacteristic
657C2×#92418C2411yescharacteristic
658C2×#92418C2411yescharacteristic
659C2×#92418C2411yescharacteristic
660C2×#92418C2411yescharacteristic
661Dic244—22no—
662C23×C61—21no—
663C22×D61C22×D411yescharacteristic
664Q8×C61—21no—
665Q8×C61—21no—
666Q8×C61—21no—
667Q8×C61—21no—
668Q8×C61—21no—
669Q8×C61—41no—
670Q8×C61—42no—
671Q8×C612−1+412yes—
672D4×C61—21no—
673D4×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—21no—
681C2×C4×C61—42no—
682C2×C4×C61C22×D411yescharacteristic
683C2×C4×C61C22×D411yescharacteristic
684C2×C4×C61C22×D411yescharacteristic
685C2×C4×C61C22×D411yescharacteristic
686C2×C4×C61C22×D411yescharacteristic
687C2×C4×C61C22×D411yescharacteristic
688C2×C4×C61C2511yescharacteristic
689C22⋊D61—42no—
690C2×Dic61—21no—
691C2×Dic61—21no—
692C2×Dic61—21no—
693C2×Dic61—21no—
694C2×Dic61—21no—
695C2×Dic61—21no—
696C2×Dic61—21no—
697C2×Dic61—21no—
698C2×Dic61—42no—
699C2×Dic61—42no—
700C2×Dic61C22×D411yescharacteristic
701C2×Dic61C22×D411yescharacteristic
702C2×Dic61C22×D411yescharacteristic
703C2×Dic61C22×D411yescharacteristic
704C2×Dic61C22×D411yescharacteristic
705C2×Dic61C22×D411yescharacteristic
706C2×Dic61C22×D411yescharacteristic
707C4×D61—24no—
708C4×D61—22no—
709C4×D61—22no—
710C4×D61—22no—
711C4×D61—21no—
712C4×D61—21no—
713C4×D61—22no—
714C4×D61—41no—
715C4×D61—41no—
716C4×D61—42no—
717C4×D61—42no—
718C4×D61—42no—
719Dic122—24no—
720Dic122—21no—
721Dic122—22no—
722Dic122—22no—
723Dic122—21no—
724Dic122—21no—
725Dic122—41no—
726Dic122—42no—
727Dic122—42no—
728Dic122—42no—
729Dic122—42no—
730Dic122—42no—
731Dic122—42no—
732Dic1222−1+412yes—
733C8×C61—21no—
734C8×C61—21no—
735C8×C61—21no—
736C8×C61—21no—
737#92418—21no—
738#92418—21no—
739#92418—21no—
740#92418—21no—
741#61842—611nomaximal, Sylow
742C22×C61—41no—
743C22×C61—41no—
744C22×C61—41no—
745C22×C61C23×D411yescharacteristic
746C2×D61—21no—
747C2×D61—21no—
748C2×D61#57812yes—
749C4×C61—22no—
750C4×C61—21no—
751C4×C61—21no—
752C4×C61—21no—
753C4×C61—21no—
754C4×C61—21no—
755C4×C61—21no—
756C4×C61—41no—
757C4×C61—41no—
758C4×C61—41no—
759C4×C61—41no—
760C4×C61—41no—
761C4×C61—41no—
762C4×C61C2×2−1+411yescharacteristic
763C4×C61C2×2−1+411yescharacteristic
764Dic61—21no—
765Dic61—22no—
766Dic61—21no—
767Dic61—21no—
768Dic61—21no—
769Dic61—21no—
770Dic61—21no—
771Dic61—41no—
772Dic61—41no—
773Dic61—41no—
774Dic61—41no—
775Dic61—41no—
776Dic61—41no—
777Dic61—41no—
778Dic61#57512yes—
779#3523—611no—
780C2×#557—611no—
781#3390—611no—
782#3390—611no—
783#3390—611no—
784#3390—611no—
785#3386—611no—
786#3386—611no—
787#3383—611no—
788#3383—611no—
789#3377—611no—
790#3377—611no—
791#3377—611no—
792#3377D6111yescharacteristic, complemented
793#3374—611no—
794#3374—611no—
795#3364—611no—
796#3364—611no—
797#3239—611no—
798#3236—611no—
799#3236—611no—
800#3232—611no—
801#3232—611no—
802#3230—611no—
803#3117—611no—
804#3117—611no—
805#3113—611no—
806#3108—611no—
807#3104—611no—
808#3104—611no—
809#2984—611no—
810C2×C61—81no—
811C2×C61#348611yescharacteristic
812C2×C61C2×#57511yescharacteristic
813C2×C61C2×#57811yescharacteristic
814D61—22no—
815#557—611no—
816#557—611no—
817#557—611no—
818#557—611no—
819#557—611no—
820#557—611no—
821#557—611no—
822#557—611no—
823#557—611no—
824#557—611no—
825#557—611no—
826#557—1221no—
827#557—1221no—
828#557—1221no—
829#557—1221no—
830#557C2×D6111yescharacteristic
831#556—611no—
832#556—611no—
833#556C2×D6111yescharacteristic
834#552—1221no—
835#552—1221no—
836#552—1221no—
837D4×Q8—611no—
838D4×Q8—1221no—
839#541—1221no—
840#541—1221no—
841#541—1221no—
842#533—611no—
843#533—611no—
844#533—611no—
845C2×C4⋊Q8—611no—
846C2×C4⋊Q8—1221no—
847#529—611no—
848#529—611no—
849#529—611no—
850C2×#125—611no—
851C2×#125—611no—
852C2×#125—1221no—
853C2×#125—1221no—
854#519—1221no—
855C2×C4×Q8—611no—
856C2×C4×Q8—611no—
857C2×C4×Q8—611no—
858C2×C4×Q8—611no—
859C2×C4×Q8—1221no—
860#501—611no—
861#501—611no—
862#501—611no—
863#501—611no—
864#501—611no—
865#501—611no—
866#500—611no—
867#500—611no—
868#499—611no—
869#499—611no—
870#499—611no—
871#499—611no—
872#491—611no—
873#491—611no—
874#491—611no—
875#491C2×D6111yescharacteristic
876#489—611no—
877#489C2×D6111yescharacteristic
878#488—611no—
879#488—611no—
880#488—611no—
881#488C2×D6111yescharacteristic
882#487—611no—
883#487—611no—
884#484—611no—
885#484—611no—
886#484—611no—
887#484—611no—
888#484—611no—
889#484—611no—
890#483—611no—
891#483—611no—
892#483—611no—
893#481—611no—
894#481—611no—
895#480—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#479—611no—
909#479—611no—
910#479—611no—
911#479—611no—
912#479—611no—
913#479C2×D6111yescharacteristic
914#478—611no—
915#478—611no—
916#478—611no—
917#478C2×D6111yescharacteristic
918#477—611no—
919#477—611no—
920#477—611no—
921#477—611no—
922#477—611no—
923#477—611no—
924#477—611no—
925#477C2×D6111yescharacteristic
926#475—611no—
927#475—611no—
928#475—611no—
929#475—611no—
930#474—611no—
931#474—611no—
932#464—611no—
933#464—611no—
934#464—611no—
935#464—611no—
936#464C2×D6111yescharacteristic
937#464C2×D6111yescharacteristic
938#462—611no—
939#462—611no—
940#462—611no—
941#462—611no—
942#462—611no—
943#462C2×D6111yescharacteristic
944#451—611no—
945#451—611no—
946#451—611no—
947#448—611no—
948#446—611no—
949#446—611no—
950#446—611no—
951#446—611no—
952#446—611no—
953#446C2×D6111yescharacteristic
954C8×Q8—611no—
955C8×Q8—611no—
956#441—611no—
957#441—611no—
958#441—611no—
959#441—611no—
960#441—611no—
961#441—611no—
962#441—611no—
963#441C2×D6111yescharacteristic
964#440—611no—
965#440—611no—
966#440—611no—
967#440C2×D6111yescharacteristic
968C4×Q16—611no—
969C4×Q16—611no—
970C4×Q16—611no—
971C4×Q16—611no—
972C4×Q16—611no—
973C4×Q16—611no—
974C4×Q16—611no—
975C4×Q16—611no—
976C4×Q16—611no—
977C4×Q16C2×D6111yescharacteristic
978C4×SD16—611no—
979C4×SD16—611no—
980#432—611no—
981#432—611no—
982#432—611no—
983#431—611no—
984#431—611no—
985#431—611no—
986C61#6184211yescharacteristic, complemented, Sylow
987C22×Q8—611no—
988C22×Q8—611no—
989C22×Q8—1221no—
990C22×Q8—1221no—
991C2×Q16—611no—
992C2×Q16—611no—
993C2×Q16—611no—
994C2×Q16—611no—
995C2×Q16C22×D6111yescharacteristic
996C2×Q16C22×D6111yescharacteristic
997C2×SD16—611no—
998C2×SD16C22×D6111yescharacteristic
999C4⋊Q8—21no—
1000C4⋊Q8—611no—
1001C4⋊Q8—611no—
1002C4⋊Q8—611no—
1003C4⋊Q8—611no—
1004C4⋊Q8—611no—
1005C4⋊Q8—611no—
1006C4⋊Q8—611no—
1007C4⋊Q8—611no—
1008C4⋊Q8—1221no—
1009C4⋊Q8—1221no—
1010C4⋊Q8—1221no—
1011C4⋊Q8—1221no—
1012C4⋊Q8—1221no—
1013C4⋊Q8—1221no—
1014C4⋊Q8—1221no—
1015C4⋊Q8—1221no—
1016C4⋊Q8—1221no—
1017C4⋊Q8—1221no—
1018C4⋊Q8—1221no—
1019C4⋊Q8—1221no—
1020C4⋊Q8C22×D6111yescharacteristic
1021C4⋊Q8C22×D6111yescharacteristic
1022#126—21no—
1023#126—21no—
1024#126—1221no—
1025#126—1221no—
1026#126—1221no—
1027#126—1221no—
1028#126—1221no—
1029#126—1221no—
1030#126—1221no—
1031#125—21no—
1032#125—21no—
1033#125—611no—
1034#125—611no—
1035#125—611no—
1036#125—611no—
1037#125—611no—
1038#125—611no—
1039#125—611no—
1040#125—611no—
1041#125—611no—
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#125C22×D6111yescharacteristic
1073#125C22×D6111yescharacteristic
1074#124—611no—
1075#124C22×D6111yescharacteristic
1076#124C22×D6111yescharacteristic
1077#123—1221no—
1078#123—1221no—
1079#123—1221no—
1080C22⋊Q8—21no—
1081C22⋊Q8—611no—
1082C22⋊Q8—611no—
1083C22⋊Q8—611no—
1084C22⋊Q8—1221no—
1085C22⋊Q8—1221no—
1086C22⋊Q8—1221no—
1087C22⋊Q8—1221no—
1088C22⋊Q8—1221no—
1089C22⋊Q8—1221no—
1090C22⋊Q8—1221no—
1091C22⋊Q8—1221no—
1092#121—611no—
1093C4×Q8—21no—
1094C4×Q8—611no—
1095C4×Q8—611no—
1096C4×Q8—611no—
1097C4×Q8—611no—
1098C4×Q8—611no—
1099C4×Q8—611no—
1100C4×Q8—611no—
1101C4×Q8—611no—
1102C4×Q8—611no—
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—1221no—
1118C4×Q8—1221no—
1119C4×Q8—1221no—
1120C4×Q8—1221no—
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×Q8—1221no—
1136C4×Q8—1221no—
1137C4×Q8C22×D6111yescharacteristic
1138C4×Q8C22×D6111yescharacteristic
1139C4×Q8C22×D6111yescharacteristic
1140C4×Q8C22×D6111yescharacteristic
1141C4×Q8C22×D6111yescharacteristic
1142C4×Q8C22×D6111yescharacteristic
1143C4×D4—611no—
1144C4×D4—611no—
1145C4×D4—1221no—
1146C4×D4—1221no—
1147C4×D4—1221no—
1148C4×D4C22×D6111yescharacteristic
1149#117—21no—
1150#117—1221no—
1151#117—1221no—
1152#117—1221no—
1153#117—1221no—
1154#117—1221no—
1155#117—1221no—
1156#117—1221no—
1157#117—1221no—
1158C2×C4⋊C4—611no—
1159C2×C4⋊C4—611no—
1160C2×C4⋊C4—611no—
1161C2×C4⋊C4—611no—
1162C2×C4⋊C4—611no—
1163C2×C4⋊C4—611no—
1164C2×C4⋊C4—1221no—
1165C2×C4⋊C4—1221no—
1166C2×C4⋊C4—1221no—
1167C2×C4⋊C4—1221no—
1168C2×C4⋊C4—1221no—
1169C2×C4⋊C4—1221no—
1170C2×C4⋊C4—1221no—
1171C2×C4⋊C4—1221no—
1172C2×C42—611no—
1173C2×C42—611no—
1174C2×C42—611no—
1175C2×C42—1221no—
1176C2×C42—1221no—
1177C2×C42—1221no—
1178#107—611no—
1179#107—611no—
1180#107—611no—
1181#107—611no—
1182#107—611no—
1183#107—611no—
1184#107—611no—
1185#107—611no—
1186#107—611no—
1187#107—611no—
1188#107—611no—
1189#107—611no—
1190#107C22×D6111yescharacteristic
1191#107C22×D6111yescharacteristic
1192#106—611no—
1193#106—611no—
1194#106—611no—
1195#106—611no—
1196#106—611no—
1197#106—611no—
1198#106—611no—
1199#106—611no—
1200#106—611no—
1201#106C22×D6111yescharacteristic
1202C4⋊C8—611no—
1203C4⋊C8—611no—
1204C4⋊C8—611no—
1205C4⋊C8—611no—
1206C4⋊C8—611no—
1207C4⋊C8—611no—
1208C4⋊C8—611no—
1209C4⋊C8—611no—
1210C4⋊C8—611no—
1211C4⋊C8C22×D6111yescharacteristic
1212C4⋊C8C22×D6111yescharacteristic
1213C4⋊C8C22×D6111yescharacteristic
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#103—611no—
1230#103—611no—
1231#103—611no—
1232#103—611no—
1233#103C22×D6111yescharacteristic
1234#103C22×D6111yescharacteristic
1235#103C22×D6111yescharacteristic
1236#103C22×D6111yescharacteristic
1237#103C22×D6111yescharacteristic
1238#103C22×D6111yescharacteristic
1239#103C22×D6111yescharacteristic
1240#102—611no—
1241#102—611no—
1242#102—611no—
1243#102C22×D6111yescharacteristic
1244#102C22×D6111yescharacteristic
1245#102C22×D6111yescharacteristic
1246C22⋊C8—611no—
1247C22⋊C8—611no—
1248C22⋊C8—611no—
1249C22⋊C8—611no—
1250#97—611no—
1251#97—611no—
1252#97—611no—
1253#97—611no—
1254#97C22×D6111yescharacteristic
1255#97C22×D6111yescharacteristic
1256C4×C8—611no—
1257C4×C8—611no—
1258C4×C8—611no—
1259C4×C8—611no—
1260C4×C8—611no—
1261C4×C8C22×D6111yescharacteristic
1262C2×Q8—21no—
1263C2×Q8—611no—
1264C2×Q8—611no—
1265C2×Q8—611no—
1266C2×Q8—611no—
1267C2×Q8—611no—
1268C2×Q8—1221no—
1269C2×Q8—1221no—
1270C2×Q8—1221no—
1271C2×Q8—1221no—
1272C2×Q8—1221no—
1273C2×Q8—1222no—
1274C2×Q8—1222no—
1275C2×Q8—1221no—
1276C2×Q8—1221no—
1277C2×Q8—2444no—
1278C2×Q8—2442no—
1279C2×Q8—2444no—
1280C2×Q8D4×D6111yescharacteristic
1281C2×Q8C23×D6111yescharacteristic
1282C2×Q8C23×D6111yescharacteristic
1283C2×Q8C23×D6111yescharacteristic
1284C2×D4—1221no—
1285C2×D4C23×D6111yescharacteristic
1286C22×C4—21no—
1287C22×C4—611no—
1288C22×C4—611no—
1289C22×C4—611no—
1290C22×C4—611no—
1291C22×C4—611no—
1292C22×C4—611no—
1293C22×C4—611no—
1294C22×C4—1221no—
1295C22×C4—1221no—
1296C22×C4—1221no—
1297C22×C4—1221no—
1298C22×C4—1221no—
1299C22×C4—1221no—
1300Q16—22no—
1301Q16—22no—
1302Q16—1222no—
1303Q16—1222no—
1304Q16—1222no—
1305Q16—1222no—
1306SD16—22no—
1307SD16—1222no—
1308C2×C8—611no—
1309C2×C8—611no—
1310C2×C8—611no—
1311C2×C8—611no—
1312C2×C8C23×D6111yescharacteristic
1313C2×C8C23×D6111yescharacteristic
1314C2×C8C23×D6111yescharacteristic
1315C2×C8C23×D6111yescharacteristic
1316C4⋊C4—21no—
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—21no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—21no—
1325C4⋊C4—21no—
1326C4⋊C4—21no—
1327C4⋊C4—21no—
1328C4⋊C4—611no—
1329C4⋊C4—611no—
1330C4⋊C4—611no—
1331C4⋊C4—611no—
1332C4⋊C4—611no—
1333C4⋊C4—611no—
1334C4⋊C4—611no—
1335C4⋊C4—611no—
1336C4⋊C4—611no—
1337C4⋊C4—611no—
1338C4⋊C4—611no—
1339C4⋊C4—611no—
1340C4⋊C4—611no—
1341C4⋊C4—611no—
1342C4⋊C4—611no—
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⋊C4—1221no—
1389C4⋊C4—1221no—
1390C4⋊C4—1221no—
1391C4⋊C4—1221no—
1392C4⋊C4—1221no—
1393C4⋊C4D4×D6111yescharacteristic
1394C4⋊C4D4×D6111yescharacteristic
1395C4⋊C4D4×D6111yescharacteristic
1396C4⋊C4C23×D6111yescharacteristic
1397C4⋊C4C23×D6111yescharacteristic
1398C4⋊C4C23×D6111yescharacteristic
1399C4⋊C4C23×D6111yescharacteristic
1400C22⋊C4—21no—
1401C22⋊C4—21no—
1402C22⋊C4—21no—
1403C22⋊C4—21no—
1404C22⋊C4—21no—
1405C22⋊C4—1221no—
1406C22⋊C4—1221no—
1407C22⋊C4—1221no—
1408C22⋊C4—1221no—
1409C22⋊C4—1221no—
1410C22⋊C4—1221no—
1411C22⋊C4—1221no—
1412C22⋊C4—1221no—
1413C42—21no—
1414C42—21no—
1415C42—21no—
1416C42—21no—
1417C42—21no—
1418C42—611no—
1419C42—611no—
1420C42—611no—
1421C42—611no—
1422C42—611no—
1423C42—611no—
1424C42—611no—
1425C42—611no—
1426C42—611no—
1427C42—1221no—
1428C42—1221no—
1429C42—1221no—
1430C42—1221no—
1431C42—1221no—
1432C42—1221no—
1433C42—1221no—
1434C42—1221no—
1435C42—1221no—
1436C42—1221no—
1437C42—1221no—
1438C42—1221no—
1439C42—1221no—
1440C42—1221no—
1441C42—1221no—
1442C42—1221no—
1443C42C23×D6111yescharacteristic
1444C42C23×D6111yescharacteristic
1445C42C23×D6111yescharacteristic
1446C23—21no—
1447C23—611no—
1448Q8—21no—
1449Q8—21no—
1450Q8—21no—
1451Q8—21no—
1452Q8—21no—
1453Q8—41no—
1454Q8—42no—
1455Q8—612no—
1456Q8—1222no—
1457Q8—1222no—
1458Q8—1224no—
1459Q8—1221no—
1460Q8—1221no—
1461Q8—1221no—
1462Q8—2441no—
1463Q8—2442no—
1464Q8—2442no—
1465Q8—2442no—
1466Q8—2442no—
1467Q8—2442no—
1468Q8—2442no—
1469Q8#1451982412yes—
1470D4—21no—
1471D4—21no—
1472D4—2442no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—42no—
1481C2×C4—611no—
1482C2×C4—611no—
1483C2×C4—611no—
1484C2×C4—611no—
1485C2×C4—611no—
1486C2×C4—611no—
1487C2×C4—611no—
1488C2×C4—1222no—
1489C2×C4—1222no—
1490C2×C4—1222no—
1491C2×C4—1222no—
1492C2×C4—1224no—
1493C2×C4—1221no—
1494C2×C4—1221no—
1495C2×C4—1221no—
1496C2×C4—1221no—
1497C2×C4—1221no—
1498C2×C4—1221no—
1499C2×C4—1221no—
1500C2×C4—1221no—
1501C2×C4—1221no—
1502C2×C4—1221no—
1503C2×C4—2441no—
1504C2×C4—2441no—
1505C2×C4—2442no—
1506C2×C4—2442no—
1507C2×C4—2442no—
1508C2×C4—2442no—
1509C2×C4—2442no—
1510C2×C4C2×D4×D6111yescharacteristic
1511C2×C4C2×D4×D6111yescharacteristic
1512C2×C4C2×D4×D6111yescharacteristic
1513C2×C4C2×D4×D6111yescharacteristic
1514C2×C4C2×D4×D6111yescharacteristic
1515C2×C4C2×D4×D6111yescharacteristic
1516C2×C4C24×D6111yescharacteristic
1517C8—21no—
1518C8—21no—
1519C8—21no—
1520C8—21no—
1521C8—1221no—
1522C8—1221no—
1523C8—1221no—
1524C8—1221no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—612no—
1529C22—1221no—
1530C22—1221no—
1531C22C22×D4×D6111yescharacteristic
1532C4—22no—
1533C4—21no—
1534C4—21no—
1535C4—21no—
1536C4—21no—
1537C4—21no—
1538C4—21no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—612no—
1546C4—1221no—
1547C4—1222no—
1548C4—1221no—
1549C4—1221no—
1550C4—1221no—
1551C4—1221no—
1552C4—1221no—
1553C4—2441no—
1554C4—2441no—
1555C4—2441no—
1556C4—2441no—
1557C4—2441no—
1558C4—2441no—
1559C4—2441no—
1560C42−1+4×D6111yescharacteristic
1561C4C2×#1451982411yescharacteristic
1562C2—81no—
1563C2—1222no—
1564C2#2145946511yescharacteristic
1565C2#575×D6111yescharacteristic
1566C2#578×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3377C2
socleC22×C61C23×D4
prime radical#14519748C23
hypercenter#3377D61
hypocenterC61#61842
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3377

Complements

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

NH ≅ G/Ntype
2. #557×D61C2semidirect
3. #21458788C2semidirect
4. #21458787C2semidirect
5. #21458782C2semidirect
6. #21458781C2semidirect
7. #21458741C2semidirect
8. #21458735C2semidirect
9. #21458710C2semidirect
10. #21458705C2semidirect
11. #21458660C2semidirect
12. #21458658C2semidirect
13. #21458655C2semidirect
14. #21458619C2semidirect
15. #21458617C2semidirect
16. #21458501C2semidirect
17. #21458499C2semidirect
19. #21457023C2semidirect
20. #21457020C2semidirect
23. #21456969C2semidirect
26. #21455947C2semidirect
28. #21455857C2semidirect
29. #21455856C2semidirect
30. #21454905C2semidirect
31. C61×#3377C2semidirect
792. #3377D61semidirect
986. C61#61842semidirect

Maximal subgroups

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

subgroupindex
#214599142
#557×D612
#214587882
#214587872
#214587822
#214587812
#214587412
#214587352
#214587102
#214587052
#214586602
#214586582
#214586552
#214586192
#214586172
#214585012
#214584992
#214570452
#214570232
#214570202
#214569852
#214569822
#214569692
#214559892
#214559882
#214559472
#214558982
#214558572
#214558562
#214549052
C61×#33772
#6184261