Finite Group Databasebeta

← #30575942

Subgroups — #30575942

Order 15616.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459697C211yesmaximal, characteristic, complemented
2#21459418C211yesmaximal, characteristic
3#21458787C211yesmaximal, characteristic, complemented
4#21458785C211yesmaximal, characteristic, complemented
5#21458582C211yesmaximal, characteristic, complemented
6#21458580C211yesmaximal, characteristic, complemented
7#21458385C211yesmaximal, characteristic, complemented
8#21458383C211yesmaximal, characteristic, complemented
9#21458370C211yesmaximal, characteristic, complemented
10#21458368C211yesmaximal, characteristic, complemented
11#21458351C211yesmaximal, characteristic, complemented
12#21458349C211yesmaximal, characteristic, complemented
13#21458088C211yesmaximal, characteristic, complemented
14#21458080C211yesmaximal, characteristic, complemented
15#21457945C211yesmaximal, characteristic, complemented
16#21457889C211yesmaximal, characteristic, complemented
17#21457881C211yesmaximal, characteristic, complemented
18#21457204C211yesmaximal, characteristic, complemented
19#21457185C211yesmaximal, characteristic, complemented
20#21457149C211yesmaximal, characteristic, complemented
21#21457047C211yesmaximal, characteristic, complemented
22#21457012C211yesmaximal, characteristic, complemented
23#21456995C211yesmaximal, characteristic, complemented
24#21455974C211yesmaximal, characteristic, complemented
25#21455947C211yesmaximal, characteristic, complemented
26#21455883C211yesmaximal, characteristic, complemented
27#21455630C211yesmaximal, characteristic, complemented
28#21455622C211yesmaximal, characteristic, complemented
29#21455603C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic, complemented
31C61×#3317C211yesmaximal, characteristic, complemented
32#16840498—21no—
33#16840498C2211yescharacteristic
34#16840491C2211yescharacteristic
35#16840489—21no—
36#16840489C2211yescharacteristic
37#16840488C2211yescharacteristic
38#16840483C2211yescharacteristic
39#16840482—21no—
40#16840482C2211yescharacteristic
41#16840480C2211yescharacteristic
42#16840479—21no—
43#16840459—21no—
44#16840459—21no—
45#16840459C2211yescharacteristic
46#16840459C2211yescharacteristic
47#16840454C2211yescharacteristic
48#16840452C2211yescharacteristic
49#16840449—21no—
50#16840447C2211yescharacteristic
51#16840445—21no—
52#16840419C2211yescharacteristic
53#16840419C2211yescharacteristic
54#16840371—21no—
55#16840369—21no—
56#16840334—21no—
57#16840318C2211yescharacteristic
58#16840316C2211yescharacteristic
59#16840315C2211yescharacteristic
60#16840314C2211yescharacteristic
61#16840314C2211yescharacteristic
62#16840310—21no—
63#16840310C2211yescharacteristic
64C2×#14519776C2211yescharacteristic
65#16840293—21no—
66#16840293—21no—
67#16840293C2211yescharacteristic
68#16840293C2211yescharacteristic
69#16840239—21no—
70#41×Dic61C2211yescharacteristic
71#41×Dic61C2211yescharacteristic
72C4×#11758224—21no—
73C4×#11758224C2211yescharacteristic
74C4×Q8×D61C2211yescharacteristic
75#16840172C2211yescharacteristic
76#16840171C2211yescharacteristic
77#16840169C2211yescharacteristic
78#16840169C2211yescharacteristic
79#16840163C2211yescharacteristic
80#16840162C2211yescharacteristic
81#16840126C2211yescharacteristic
82#16840120C2211yescharacteristic
83#16840120C2211yescharacteristic
84#16840115C2211yescharacteristic
85#16840115C2211yescharacteristic
86#16840104C2211yescharacteristic
87#16840104C2211yescharacteristic
88#16840104C2211yescharacteristic
89#16840103C2211yescharacteristic
90#16840100C2211yescharacteristic
91#16840100C2211yescharacteristic
92#16840098C2211yescharacteristic
93#16840097C2211yescharacteristic
94#16840094C2211yescharacteristic
95#16840091C2211yescharacteristic
96#16840085C2211yescharacteristic
97#16840085C2211yescharacteristic
98#16840084C2211yescharacteristic
99#16840084C2211yescharacteristic
100#16840083C2211yescharacteristic
101#16840078C2211yescharacteristic
102#16840072C2211yescharacteristic
103#16840071C2211yescharacteristic
104#16840071C2211yescharacteristic
105#16840070C2211yescharacteristic
106#16840069C2211yescharacteristic
107#16840068C2211yescharacteristic
108#16840067C2211yescharacteristic
109#16840067C2211yescharacteristic
110#16840066C2211yescharacteristic
111#16840064C2211yescharacteristic
112#16840060C2211yescharacteristic
113#16840058C2211yescharacteristic
114#16840057C2211yescharacteristic
115#16840056C2211yescharacteristic
116#16840055C2211yescharacteristic
117#16840055C2211yescharacteristic
118#16840055C2211yescharacteristic
119#16840050C2211yescharacteristic
120#16840050C2211yescharacteristic
121#16840050C2211yescharacteristic
122#16840050C2211yescharacteristic
123#16840046C2211yescharacteristic
124#16840046C2211yescharacteristic
125#16840045C2211yescharacteristic
126#16840045C2211yescharacteristic
127#16840040C2211yescharacteristic
128#16840040C2211yescharacteristic
129#16840040C2211yescharacteristic
130#16840040C2211yescharacteristic
131#16840020C2211yescharacteristic
132#16840018C2211yescharacteristic
133#16840007C2211yescharacteristic
134#16840007C2211yescharacteristic
135#16840006C2211yescharacteristic
136#16840005C2211yescharacteristic
137#16840005C2211yescharacteristic
138#16840003C2211yescharacteristic
139#16840001C2211yescharacteristic
140#16839989C2211yescharacteristic
141#16839983C2211yescharacteristic
142#16839983C2211yescharacteristic
143#16839982C2211yescharacteristic
144#16839982C2211yescharacteristic
145#16839971C2211yescharacteristic
146#16839970C2211yescharacteristic
147#16839965C2211yescharacteristic
148#16839965C2211yescharacteristic
149#16839959C2211yescharacteristic
150#16839924C2211yescharacteristic
151#16839924C2211yescharacteristic
152#16839919C2211yescharacteristic
153#16839916C2211yescharacteristic
154#16839891C2211yescharacteristic
155#16839890C2211yescharacteristic
156#16839870C2211yescharacteristic
157#16839869C2211yescharacteristic
158#16839867C2211yescharacteristic
159#16839867C2211yescharacteristic
160#16839866C2211yescharacteristic
161#16839863C2211yescharacteristic
162#16839859C2211yescharacteristic
163Q16×Dic61C2211yescharacteristic
164#16839854C2211yescharacteristic
165#16839853C2211yescharacteristic
166SD16×Dic61C2211yescharacteristic
167#16839838C2211yescharacteristic
168#16839837C2211yescharacteristic
169#16839834C2211yescharacteristic
170#16839833C2211yescharacteristic
171#16839830C2211yescharacteristic
172#16839817C2211yescharacteristic
173#16839816C2211yescharacteristic
174#16839812C2211yescharacteristic
175#16839804C2211yescharacteristic
176#16839803C2211yescharacteristic
177#16839802C2211yescharacteristic
178#16839801C2211yescharacteristic
179#16839800C2211yescharacteristic
180#16839798C2211yescharacteristic
181#16839785C2211yescharacteristic
182#16839784C2211yescharacteristic
183C2×#14519706C2211yescharacteristic
184#16839769C2211yescharacteristic
185#16839769C2211yescharacteristic
186#16839763C2211yescharacteristic
187#16839758C2211yescharacteristic
188C61×#552C2211yescharacteristic
189C61×#550C2211yescharacteristic
190C61×#490C2211yescharacteristic
191C61×#482C2211yescharacteristic
192C61×#481C2211yescharacteristic
193C61×#479C2211yescharacteristic
194C61×#468C2211yescharacteristic
195C61×#465C2211yescharacteristic
196C61×#460C2211yescharacteristic
197C61×#452C2211yescharacteristic
198C61×#452C2211yescharacteristic
199C61×#441C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#417C2211yescharacteristic
202C61×#416C2211yescharacteristic
203C2×#11758224—21no—
204C2×#11758224D411yescharacteristic
205C22×Dic122—21no—
206C2×Q8×D61C2311yescharacteristic
207C2×Dic244C2311yescharacteristic
208C2×#11758202C2311yescharacteristic
209C2×#11758202C2311yescharacteristic
210C2×#11758200C2311yescharacteristic
211C2×#11758200C2311yescharacteristic
212C2×#11758194C2311yescharacteristic
213C2×#11758189C2311yescharacteristic
214C2×#11758189C2311yescharacteristic
215C22×#92418C2311yescharacteristic
216#14519777—21no—
217#14519777C2311yescharacteristic
218#14519776—21no—
219#14519776—21no—
220#14519776—21no—
221#14519776—21no—
222#14519776C2311yescharacteristic
223#14519776C2311yescharacteristic
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519775C2311yescharacteristic
228#14519772—21no—
229#14519772—21no—
230#14519772—21no—
231#14519771—21no—
232#14519770—21no—
233#14519770—21no—
234#14519770—21no—
235#14519770—21no—
236#14519770—21no—
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519769—21no—
242#14519769C2311yescharacteristic
243#14519768—21no—
244#14519768—21no—
245#14519768—21no—
246#14519768—21no—
247#14519768C2311yescharacteristic
248#14519768C2311yescharacteristic
249#14519768C2311yescharacteristic
250#14519768C2311yescharacteristic
251#14519767—21no—
252#14519767—21no—
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519764—21no—
259#14519764—21no—
260#14519764—21no—
261#14519764—21no—
262#14519764—21no—
263#14519764C2311yescharacteristic
264#14519764C2311yescharacteristic
265#14519763—21no—
266#14519763—21no—
267#14519761—21no—
268#14519760—21no—
269#14519758—21no—
270#14519758—21no—
271#14519758—21no—
272#14519758—21no—
273#14519758—21no—
274#14519758—21no—
275#14519758—21no—
276#14519757C2311yescharacteristic
277#14519756—21no—
278#14519756—21no—
279#14519756C2311yescharacteristic
280#14519756C2311yescharacteristic
281#14519756C2311yescharacteristic
282#14519756C2311yescharacteristic
283#14519755—21no—
284#14519755—21no—
285#14519755—21no—
286#14519754—21no—
287#14519754—21no—
288#14519754—21no—
289#14519754—21no—
290#14519753C2311yescharacteristic
291#14519748—21no—
292#14519748—21no—
293#14519748—21no—
294#14519748—21no—
295#14519748—21no—
296#14519748C2311yescharacteristic
297#14519748C2311yescharacteristic
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×Dic122C2311yescharacteristic
311C4×Dic122C2311yescharacteristic
312C4×Dic122C2311yescharacteristic
313#14519742—21no—
314#14519742—21no—
315#14519742—21no—
316#14519742—21no—
317#14519742—21no—
318#14519742—21no—
319#14519742—21no—
320#14519742—21no—
321#14519742D411yescharacteristic
322#14519742C2311yescharacteristic
323#14519742C2311yescharacteristic
324#14519742C2311yescharacteristic
325D4×Dic61—21no—
326D4×Dic61—21no—
327D4×Dic61—21no—
328D4×Dic61—21no—
329D4×Dic61—21no—
330D4×Dic61—21no—
331D4×Dic61—21no—
332D4×Dic61—21no—
333D4×Dic61D411yescharacteristic
334D4×Dic61C2311yescharacteristic
335D4×Dic61C2311yescharacteristic
336D4×Dic61C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338C4×C22⋊D61—21no—
339C4×C22⋊D61—21no—
340C4×C22⋊D61C2311yescharacteristic
341C4×C22⋊D61C2311yescharacteristic
342#14519737—21no—
343#14519737—21no—
344#14519737D411yescharacteristic
345#14519737D411yescharacteristic
346#14519736—21no—
347#14519736—21no—
348#14519736—21no—
349#14519736C2311yescharacteristic
350#14519736C2311yescharacteristic
351#14519736C2311yescharacteristic
352#14519735D411yescharacteristic
353#14519735C2311yescharacteristic
354#14519735C2311yescharacteristic
355#14519734—21no—
356#14519733—21no—
357#14519733—21no—
358#14519733—21no—
359#14519733—21no—
360#14519733—21no—
361#14519733—21no—
362#14519733D411yescharacteristic
363#14519733D411yescharacteristic
364C2×C4⋊Dic61C2311yescharacteristic
365C2×#11758196—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61C2311yescharacteristic
368C2×C4×Dic61—21no—
369C2×C4×Dic61—21no—
370C2×C4×Dic61C2311yescharacteristic
371C2×C4×Dic61C2311yescharacteristic
372C42×D61—21no—
373C42×D61C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
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×#41×C61C2311yescharacteristic
436C2×#41×C61C2311yescharacteristic
437C2×Q16×C61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C2×SD16×C61C2311yescharacteristic
440C2×M16×C61C2311yescharacteristic
441C22×C8×C61C2311yescharacteristic
442#127×C61—21no—
443#127×C61C2311yescharacteristic
444#126×C61—21no—
445#125×C61—21no—
446#125×C61C2311yescharacteristic
447#123×C61—21no—
448C22⋊Q8×C61C2311yescharacteristic
449C22⋊Q8×C61C2311yescharacteristic
450#121×C61—21no—
451#121×C61—21no—
452#121×C61C2311yescharacteristic
453#121×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×D4×C61—21no—
457C4×D4×C61C2311yescharacteristic
458#117×C61—21no—
459#117×C61C2311yescharacteristic
460C2×C4⋊C4×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#103×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×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
478#41×C61—22no—
479#41×C61—22no—
480#41×C61—41no—
481#41×C61—41no—
482C2×Q8×C61C2411yescharacteristic
483C2×Q8×C61C2411yescharacteristic
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61—21no—
489C2×D4×C61—21no—
490C2×D4×C61C2×D411yescharacteristic
491C2×D4×C61C2411yescharacteristic
492C2×D4×C61C2411yescharacteristic
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C22×C4×C61—21no—
496C22×C4×C61C2411yescharacteristic
497C22×C4×C61C2411yescharacteristic
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61C2×D411yescharacteristic
501C2×C22⋊D61C2×D411yescharacteristic
502C22×Dic61—21no—
503C22×Dic61—21no—
504C22×Dic61—21no—
505C22×Dic61—21no—
506C22×Dic61—21no—
507C22×Dic61C2×D411yescharacteristic
508C22×Dic61C2×D411yescharacteristic
509C22×Dic61C2×D411yescharacteristic
510C22×Dic61C2×D411yescharacteristic
511Q8×D61—22no—
512Q8×D61—41no—
513#11758224—42no—
514#11758224—44no—
515C2×C4×D61—21no—
516C2×C4×D61—21no—
517C2×C4×D61C2×D411yescharacteristic
518C2×C4×D61C2×D411yescharacteristic
519C2×C4×D61C2411yescharacteristic
520C2×Dic122—21no—
521C2×Dic122—21no—
522C2×Dic122—21no—
523C2×Dic122—21no—
524C2×Dic122—21no—
525C2×Dic122—21no—
526C2×Dic122—21no—
527C2×Dic122—44no—
528C2×Dic122C2×D411yescharacteristic
529C2×Dic122C2411yescharacteristic
530C2×Dic122C2411yescharacteristic
531Q16×C61—22no—
532SD16×C61—41no—
533SD16×C61—41no—
534M16×C61—41no—
535C2×C8×C61—41no—
536C2×C8×C61C2411yescharacteristic
537C2×C8×C61C2411yescharacteristic
538C2×C8×C61C2411yescharacteristic
539C2×C8×C61C2411yescharacteristic
540C4⋊C4×C61—21no—
541C4⋊C4×C61—21no—
542C4⋊C4×C61—21no—
543C4⋊C4×C61—21no—
544C4⋊C4×C61—21no—
545C4⋊C4×C61—21no—
546C4⋊C4×C61—21no—
547C4⋊C4×C61C2×D411yescharacteristic
548C4⋊C4×C61C2411yescharacteristic
549C4⋊C4×C61C2411yescharacteristic
550C4⋊C4×C61C2411yescharacteristic
551C4⋊C4×C61C2411yescharacteristic
552C22⋊C4×C61—21no—
553C22⋊C4×C61—21no—
554C22⋊C4×C61—21no—
555C22⋊C4×C61—21no—
556C22⋊C4×C61—21no—
557C22⋊C4×C61C2×D411yescharacteristic
558C22⋊C4×C61C2×D411yescharacteristic
559C42×C61—21no—
560C42×C61—21no—
561C42×C61—21no—
562C42×C61C2411yescharacteristic
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⋊Dic61—21no—
573C22⋊Dic61—21no—
574C22⋊Dic61—21no—
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61C2×D411yescharacteristic
581C22⋊Dic61C2×D411yescharacteristic
582#11758202—22no—
583#11758202—41no—
584#11758200—41no—
585#11758200—41no—
586#11758198—21no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198C2×D411yescharacteristic
591#11758198C2×D411yescharacteristic
592C4⋊Dic61—21no—
593C4⋊Dic61—21no—
594C4⋊Dic61—21no—
595C4⋊Dic61—21no—
596C4⋊Dic61—21no—
597C4⋊Dic61—21no—
598C4⋊Dic61—21no—
599C4⋊Dic61—21no—
600C4⋊Dic61—21no—
601C4⋊Dic61—21no—
602C4⋊Dic61—21no—
603C4⋊Dic61—21no—
604C4⋊Dic61C2×D411yescharacteristic
605C4⋊Dic61C2411yescharacteristic
606C4⋊Dic61C2411yescharacteristic
607C4⋊Dic61C2411yescharacteristic
608C4⋊Dic61C2411yescharacteristic
609C4⋊Dic61C2411yescharacteristic
610C4⋊Dic61C2411yescharacteristic
611#11758196—21no—
612#11758196—21no—
613#11758196—21no—
614#11758196—21no—
615#11758196—21no—
616#11758196—21no—
617#11758196—21no—
618#11758196—21no—
619#11758196—21no—
620#11758196—21no—
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196C2×D411yescharacteristic
636#11758196C2×D411yescharacteristic
637#11758196C2×D411yescharacteristic
638#11758196C2×D411yescharacteristic
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×Dic61—21no—
654C4×Dic61C2×D411yescharacteristic
655C4×Dic61C2×D411yescharacteristic
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2411yescharacteristic
661C4×Dic61C2411yescharacteristic
662C4×Dic61C2411yescharacteristic
663#11758194—41no—
664C2×#92418—41no—
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669Dic244—41no—
670#11758189—41no—
671#11758189—41no—
672C23×C61—21no—
673C23×C61—21no—
674C23×C61C22×D411yescharacteristic
675C23×C61C22×D411yescharacteristic
676C22×D61C22×D411yescharacteristic
677Q8×C61—21no—
678Q8×C61—21no—
679Q8×C61—21no—
680Q8×C612−1+412yes—
681D4×C61—21no—
682D4×C61—21no—
683D4×C61—21no—
684D4×C61—21no—
685D4×C61—41no—
686D4×C61—42no—
687D4×C61—42no—
688D4×C61—42no—
689D4×C61—81no—
690D4×C61—81no—
691D4×C61—81no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—42no—
703C2×C4×C61—42no—
704C2×C4×C61—42no—
705C2×C4×C61C22×D411yescharacteristic
706C2×C4×C61C22×D411yescharacteristic
707C2×C4×C61C22×D411yescharacteristic
708C2×C4×C61C22×D411yescharacteristic
709C2×C4×C61C2511yescharacteristic
710C22⋊D61—41no—
711C22⋊D61—41no—
712C22⋊D61—42no—
713C22⋊D61—42no—
714C2×Dic61—22no—
715C2×Dic61—22no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—41no—
725C2×Dic61—41no—
726C2×Dic61—42no—
727C2×Dic61—42no—
728C2×Dic61—42no—
729C2×Dic61—81no—
730C2×Dic61—81no—
731C2×Dic61C22×D411yescharacteristic
732C2×Dic61C22×D411yescharacteristic
733C2×Dic61C22×D411yescharacteristic
734C2×Dic61C22×D411yescharacteristic
735C2×Dic61C22×D411yescharacteristic
736C2×Dic61C22×D411yescharacteristic
737C2×Dic61C22×D411yescharacteristic
738C4×D61—21no—
739C4×D61—21no—
740C4×D61—22no—
741C4×D61—41no—
742C4×D61—42no—
743C4×D61—81no—
744Dic122—21no—
745Dic122—21no—
746Dic122—21no—
747Dic122—21no—
748Dic122—41no—
749Dic122—42no—
750Dic122—42no—
751Dic122—42no—
752Dic122—42no—
753Dic122—42no—
754Dic122—42no—
755Dic122—42no—
756C8×C61—21no—
757C8×C61—21no—
758C8×C61—21no—
759C8×C61—21no—
760#92418—21no—
761#92418—21no—
762#92418—21no—
763#92418—21no—
764#62118—611nomaximal, Sylow
765C22×C61—21no—
766C22×C61—21no—
767C22×C61—21no—
768C22×C61—21no—
769C22×C61—21no—
770C22×C61—21no—
771C22×C61—41no—
772C22×C61—41no—
773C22×C61—41no—
774C22×C61—41no—
775C22×C61—41no—
776C22×C61—41no—
777C22×C61C23×D411yescharacteristic
778C2×D61—21no—
779C2×D61—21no—
780C2×D61—21no—
781C4×C61—21no—
782C4×C61—22no—
783C4×C61—21no—
784C4×C61—21no—
785C4×C61—21no—
786C4×C61—41no—
787C4×C61—41no—
788C4×C61—41no—
789C4×C61—41no—
790C4×C61—41no—
791C4×C61C2×2−1+411yescharacteristic
792C4×C61#58511yescharacteristic
793Dic61—21no—
794Dic61—21no—
795Dic61—21no—
796Dic61—21no—
797Dic61—21no—
798Dic61—21no—
799Dic61—41no—
800Dic61—41no—
801Dic61—41no—
802Dic61—41no—
803Dic61—41no—
804Dic61—41no—
805Dic61—41no—
806Dic61—41no—
807Dic61#57512yes—
808#3509—611no—
809#3480—611no—
810#3390—611no—
811#3390—611no—
812#3371—611no—
813#3371—611no—
814#3351—611no—
815#3351—611no—
816#3350—611no—
817#3350—611no—
818#3349—611no—
819#3349—611no—
820#3327—611no—
821#3327—611no—
822#3317—611no—
823#3317D6111yescharacteristic, complemented
824#3313—611no—
825#3313—611no—
826#3254—611no—
827#3252—611no—
828#3248—611no—
829#3239—611no—
830#3235—611no—
831#3233—611no—
832#3116—611no—
833#3113—611no—
834#3107—611no—
835#3079—611no—
836#3078—611no—
837#3076—611no—
838#2989—611no—
839C2×C61—41no—
840C2×C61—41no—
841C2×C61—81no—
842C2×C61—81no—
843C2×C61#348911yescharacteristic
844C2×C61C2×#57511yescharacteristic
845C2×C61#358611yescharacteristic
846D61—41no—
847#559—611no—
848#559—1221no—
849#557—611no—
850#557—611no—
851#557—611no—
852#557—1221no—
853#556—611no—
854#556—611no—
855#556—611no—
856#556—1221no—
857#556—1221no—
858#553—611no—
859#553—611no—
860#553—1221no—
861#553—1221no—
862#552—611no—
863#552—611no—
864#552—611no—
865#552—1221no—
866#552—1221no—
867#552C2×D6111yescharacteristic
868#550C2×D6111yescharacteristic
869#548—611no—
870#548—611no—
871#541—1221no—
872#541—1221no—
873#536—1221no—
874#533—611no—
875#533—611no—
876#533—611no—
877#533—611no—
878#533—611no—
879#532—611no—
880#532—1221no—
881C2×C4⋊Q8—611no—
882#529—611no—
883#529—611no—
884#529—1221no—
885#529—1221no—
886#519—1221no—
887C4×#41—611no—
888C4×#41—611no—
889C4×#41—611no—
890C4×#41—1221no—
891C2×C4×Q8—611no—
892#501—611no—
893#501—611no—
894#501—611no—
895#501—611no—
896#499—611no—
897#499—611no—
898#490—611no—
899#490C2×D6111yescharacteristic
900#489—611no—
901#489—611no—
902#488—611no—
903#488—611no—
904#485—611no—
905#485—611no—
906#485—611no—
907#485—611no—
908#485—611no—
909#485—611no—
910#484—611no—
911#484—611no—
912#483—611no—
913#483—611no—
914#482—611no—
915#482—611no—
916#482—611no—
917#482—611no—
918#482—611no—
919#482C2×D6111yescharacteristic
920#481—611no—
921#481C2×D6111yescharacteristic
922#479—611no—
923#479—611no—
924#479—611no—
925#479—611no—
926#479—611no—
927#479—611no—
928#479—611no—
929#479—611no—
930#479—611no—
931#479C2×D6111yescharacteristic
932#478—611no—
933#478—611no—
934#477—611no—
935#477—611no—
936#477—611no—
937#477—611no—
938#477—611no—
939#477—611no—
940#476—611no—
941#476—611no—
942#476—611no—
943#476—611no—
944#475—611no—
945#475—611no—
946#475—611no—
947#475—611no—
948#474—611no—
949#474—611no—
950#474—611no—
951#474—611no—
952#470—611no—
953#470—611no—
954#468—611no—
955#468—611no—
956#468—611no—
957#468—611no—
958#468—611no—
959#468C2×D6111yescharacteristic
960#467—611no—
961#467—611no—
962#465—611no—
963#465C2×D6111yescharacteristic
964#464—611no—
965#464—611no—
966#464—611no—
967#464—611no—
968#462—611no—
969#462—611no—
970#461—611no—
971#461—611no—
972#460—611no—
973#460C2×D6111yescharacteristic
974#452—611no—
975#452—611no—
976#452C2×D6111yescharacteristic
977#452C2×D6111yescharacteristic
978#451—611no—
979#451—611no—
980#446—611no—
981#446—611no—
982#441—611no—
983#441—611no—
984#441—611no—
985#441—611no—
986#441—611no—
987#441C2×D6111yescharacteristic
988#440—611no—
989#440—611no—
990C4×Q16—611no—
991C4×Q16—611no—
992C4×SD16—611no—
993C4×SD16—611no—
994#436—611no—
995#436—611no—
996#435—611no—
997#435—611no—
998#435—611no—
999#435C2×D6111yescharacteristic
1000#432—611no—
1001#432—611no—
1002#431—611no—
1003#428—611no—
1004#428—611no—
1005#428—611no—
1006#428—611no—
1007#427—611no—
1008#427—611no—
1009#423—611no—
1010#423—611no—
1011C2×C4⋊C8—611no—
1012#419—611no—
1013#419—611no—
1014#417—611no—
1015#417C2×D6111yescharacteristic
1016#416—611no—
1017#416C2×D6111yescharacteristic
1018C61#6211811yescharacteristic, complemented, Sylow
1019C2×#41—611no—
1020C2×#41—1221no—
1021C2×#41C22×D6111yescharacteristic
1022C2×#41C22×D6111yescharacteristic
1023C22×Q8—611no—
1024C22×Q8—1221no—
1025C2×Q16—611no—
1026C2×Q16—611no—
1027C2×Q16—611no—
1028C2×Q16C22×D6111yescharacteristic
1029C2×SD16—611no—
1030C2×SD16—611no—
1031C2×SD16C22×D6111yescharacteristic
1032C2×SD16C22×D6111yescharacteristic
1033C2×M16—611no—
1034C2×M16—611no—
1035C2×M16—611no—
1036C2×M16C22×D6111yescharacteristic
1037C22×C8—611no—
1038C22×C8C22×D6111yescharacteristic
1039C4⋊Q8—611no—
1040C4⋊Q8—611no—
1041C4⋊Q8—611no—
1042C4⋊Q8—611no—
1043C4⋊Q8—611no—
1044C4⋊Q8—611no—
1045C4⋊Q8—611no—
1046C4⋊Q8—1221no—
1047C4⋊Q8—1221no—
1048C4⋊Q8—1221no—
1049C4⋊Q8—1221no—
1050C4⋊Q8—1221no—
1051#127—21no—
1052#127C22×D6111yescharacteristic
1053#126—21no—
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#126—1221no—
1064#126—1221no—
1065#126—1221no—
1066#126—1221no—
1067#125—21no—
1068#125—611no—
1069#125—611no—
1070#125—611no—
1071#125—611no—
1072#125—611no—
1073#125—1221no—
1074#125—1221no—
1075#125—1221no—
1076#125—1221no—
1077#125—1221no—
1078#125—1221no—
1079#125—1221no—
1080#125—1221no—
1081#125—1221no—
1082#125—1221no—
1083#125—1221no—
1084#125—1221no—
1085#125C22×D6111yescharacteristic
1086#124—611no—
1087#124—611no—
1088#124—1221no—
1089#124—1221no—
1090#124—1221no—
1091#124—1221no—
1092#124—1221no—
1093#124—1221no—
1094#124—1221no—
1095#123—21no—
1096#123—1221no—
1097#123—1221no—
1098#123—1221no—
1099#123—1221no—
1100#123—1221no—
1101#123—1221no—
1102#123—1221no—
1103#123—1221no—
1104#123—1221no—
1105C22⋊Q8—611no—
1106C22⋊Q8—611no—
1107C22⋊Q8—611no—
1108C22⋊Q8—611no—
1109C22⋊Q8—611no—
1110C22⋊Q8—611no—
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⋊Q8C22×D6111yescharacteristic
1121C22⋊Q8C22×D6111yescharacteristic
1122#121—21no—
1123#121—21no—
1124#121—611no—
1125#121—611no—
1126#121—1221no—
1127#121—1221no—
1128#121—1221no—
1129#121—1221no—
1130#121—1221no—
1131#121C22×D6111yescharacteristic
1132#121C22×D6111yescharacteristic
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—611no—
1145C4×Q8—1221no—
1146C4×Q8—1221no—
1147C4×Q8—1221no—
1148C4×Q8—1221no—
1149C4×Q8—1221no—
1150C4×Q8—1221no—
1151C4×Q8—1221no—
1152C4×Q8—1221no—
1153C4×Q8—1221no—
1154C4×Q8—1221no—
1155C4×Q8—1221no—
1156C4×Q8—1221no—
1157C4×Q8—1221no—
1158C4×Q8—1221no—
1159C4×Q8—1221no—
1160C4×Q8C22×D6111yescharacteristic
1161C4×Q8C22×D6111yescharacteristic
1162C4×D4—21no—
1163C4×D4—611no—
1164C4×D4—611no—
1165C4×D4—611no—
1166C4×D4—611no—
1167C4×D4—611no—
1168C4×D4—611no—
1169C4×D4—611no—
1170C4×D4—611no—
1171C4×D4—611no—
1172C4×D4—1221no—
1173C4×D4—1221no—
1174C4×D4—1221no—
1175C4×D4—1221no—
1176C4×D4—1221no—
1177C4×D4—1221no—
1178C4×D4—1221no—
1179C4×D4—1221no—
1180C4×D4—1221no—
1181C4×D4—1221no—
1182C4×D4—1221no—
1183C4×D4—1221no—
1184C4×D4C22×D6111yescharacteristic
1185#117—21no—
1186#117—611no—
1187#117—611no—
1188#117—611no—
1189#117—611no—
1190#117—611no—
1191#117—611no—
1192#117—611no—
1193#117—611no—
1194#117—1221no—
1195#117—1221no—
1196#117—1221no—
1197#117—1221no—
1198#117—1221no—
1199#117—1221no—
1200#117—1221no—
1201#117—1221no—
1202#117—1221no—
1203#117—1221no—
1204#117C22×D6111yescharacteristic
1205C2×C4⋊C4—611no—
1206C2×C4⋊C4—611no—
1207C2×C4⋊C4—1221no—
1208C2×C4⋊C4—1221no—
1209C2×C4⋊C4C22×D6111yescharacteristic
1210C2×C42—611no—
1211C2×C42—611no—
1212C2×C42—611no—
1213C2×C42—1221no—
1214C2×C42—1221no—
1215C2×C42—1221no—
1216#107—611no—
1217#107—611no—
1218#107—611no—
1219#107—611no—
1220#107—611no—
1221#107—611no—
1222#107—611no—
1223#107—611no—
1224#107—611no—
1225#107—611no—
1226#107—611no—
1227#107C22×D6111yescharacteristic
1228#106—611no—
1229#106—611no—
1230#106—611no—
1231#106—611no—
1232#106—611no—
1233#106—611no—
1234#106—611no—
1235#106—611no—
1236#106—611no—
1237#106—611no—
1238#106C22×D6111yescharacteristic
1239#106C22×D6111yescharacteristic
1240C4⋊C8—611no—
1241C4⋊C8—611no—
1242C4⋊C8—611no—
1243C4⋊C8—611no—
1244C4⋊C8—611no—
1245C4⋊C8—611no—
1246C4⋊C8—611no—
1247C4⋊C8—611no—
1248C4⋊C8—611no—
1249C4⋊C8C22×D6111yescharacteristic
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#103—611no—
1266#103C22×D6111yescharacteristic
1267#103C22×D6111yescharacteristic
1268#103C22×D6111yescharacteristic
1269#103C22×D6111yescharacteristic
1270#102—611no—
1271#102—611no—
1272#102—611no—
1273#102—611no—
1274#102—611no—
1275#102—611no—
1276#102C22×D6111yescharacteristic
1277#102C22×D6111yescharacteristic
1278#102C22×D6111yescharacteristic
1279#102C22×D6111yescharacteristic
1280#102C22×D6111yescharacteristic
1281#102C22×D6111yescharacteristic
1282C22⋊C8—611no—
1283C22⋊C8—611no—
1284C22⋊C8—611no—
1285C22⋊C8—611no—
1286C22⋊C8C22×D6111yescharacteristic
1287C22⋊C8C22×D6111yescharacteristic
1288#97—611no—
1289#97—611no—
1290#97—611no—
1291#97C22×D6111yescharacteristic
1292C4×C8—611no—
1293C4×C8—611no—
1294#41—22no—
1295#41—22no—
1296#41—41no—
1297#41—41no—
1298#41—2442no—
1299#41—2444no—
1300C2×Q8—611no—
1301C2×Q8—611no—
1302C2×Q8—611no—
1303C2×Q8—1221no—
1304C2×Q8—1221no—
1305C2×Q8—1221no—
1306C2×Q8—1221no—
1307C2×Q8—1221no—
1308C2×Q8—1221no—
1309C2×Q8—1221no—
1310C2×Q8—1222no—
1311C2×Q8—2444no—
1312C2×Q8—2441no—
1313C2×Q8C23×D6111yescharacteristic
1314C2×Q8C23×D6111yescharacteristic
1315C2×D4—21no—
1316C2×D4—21no—
1317C2×D4—21no—
1318C2×D4—21no—
1319C2×D4—21no—
1320C2×D4—21no—
1321C2×D4—611no—
1322C2×D4—611no—
1323C2×D4—1221no—
1324C2×D4—1221no—
1325C2×D4D4×D6111yescharacteristic
1326C2×D4C23×D6111yescharacteristic
1327C2×D4C23×D6111yescharacteristic
1328C22×C4—21no—
1329C22×C4—21no—
1330C22×C4—21no—
1331C22×C4—611no—
1332C22×C4—611no—
1333C22×C4—611no—
1334C22×C4—611no—
1335C22×C4—611no—
1336C22×C4—611no—
1337C22×C4—611no—
1338C22×C4—1221no—
1339C22×C4—1221no—
1340C22×C4—1221no—
1341C22×C4—1221no—
1342C22×C4—1221no—
1343C22×C4—1221no—
1344C22×C4—1221no—
1345C22×C4C23×D6111yescharacteristic
1346C22×C4C23×D6111yescharacteristic
1347Q16—22no—
1348Q16—1222no—
1349Q16—2441no—
1350Q16—2441no—
1351SD16—41no—
1352SD16—41no—
1353SD16—2441no—
1354SD16—2441no—
1355M16—41no—
1356M16—2441no—
1357M16—2441no—
1358M16—2441no—
1359C2×C8—41no—
1360C2×C8—611no—
1361C2×C8—611no—
1362C2×C8—611no—
1363C2×C8—611no—
1364C2×C8—2441no—
1365C2×C8C23×D6111yescharacteristic
1366C2×C8C23×D6111yescharacteristic
1367C2×C8C23×D6111yescharacteristic
1368C2×C8C23×D6111yescharacteristic
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—611no—
1377C4⋊C4—611no—
1378C4⋊C4—611no—
1379C4⋊C4—611no—
1380C4⋊C4—611no—
1381C4⋊C4—611no—
1382C4⋊C4—611no—
1383C4⋊C4—611no—
1384C4⋊C4—611no—
1385C4⋊C4—611no—
1386C4⋊C4—611no—
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⋊C4—1221no—
1408C4⋊C4—1221no—
1409C4⋊C4—1221no—
1410C4⋊C4—1221no—
1411C4⋊C4—1221no—
1412C4⋊C4—1221no—
1413C4⋊C4—1221no—
1414C4⋊C4—1221no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4D4×D6111yescharacteristic
1424C4⋊C4C23×D6111yescharacteristic
1425C4⋊C4C23×D6111yescharacteristic
1426C4⋊C4C23×D6111yescharacteristic
1427C4⋊C4C23×D6111yescharacteristic
1428C22⋊C4—21no—
1429C22⋊C4—21no—
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—611no—
1434C22⋊C4—611no—
1435C22⋊C4—611no—
1436C22⋊C4—611no—
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⋊C4—1221no—
1453C22⋊C4—1221no—
1454C22⋊C4—1221no—
1455C22⋊C4—1221no—
1456C22⋊C4—1221no—
1457C22⋊C4—1221no—
1458C22⋊C4D4×D6111yescharacteristic
1459C22⋊C4D4×D6111yescharacteristic
1460C42—21no—
1461C42—21no—
1462C42—21no—
1463C42—611no—
1464C42—611no—
1465C42—611no—
1466C42—611no—
1467C42—611no—
1468C42—611no—
1469C42—611no—
1470C42—611no—
1471C42—611no—
1472C42—1221no—
1473C42—1221no—
1474C42—1221no—
1475C42—1221no—
1476C42—1221no—
1477C42—1221no—
1478C42—1221no—
1479C42—1221no—
1480C42—1221no—
1481C42—1221no—
1482C42—1221no—
1483C42—1221no—
1484C42—1221no—
1485C42—1221no—
1486C42—1221no—
1487C42C23×D6111yescharacteristic
1488C23—21no—
1489C23—21no—
1490C23—611no—
1491C23C2×D4×D6111yescharacteristic
1492C23C2×D4×D6111yescharacteristic
1493Q8—21no—
1494Q8—21no—
1495Q8—21no—
1496Q8—1221no—
1497Q8—1221no—
1498Q8—1221no—
1499Q8—1221no—
1500Q8—2441no—
1501Q8—2442no—
1502Q8—2442no—
1503Q8—2442no—
1504Q8—2442no—
1505Q8—2442no—
1506Q8—2442no—
1507Q8—2442no—
1508Q8#1451982412yes—
1509D4—21no—
1510D4—21no—
1511D4—21no—
1512D4—21no—
1513D4—41no—
1514D4—42no—
1515D4—42no—
1516D4—42no—
1517D4—81no—
1518D4—81no—
1519D4—81no—
1520D4—2441no—
1521D4—2441no—
1522D4—2442no—
1523D4—2442no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—42no—
1535C2×C4—42no—
1536C2×C4—42no—
1537C2×C4—611no—
1538C2×C4—611no—
1539C2×C4—611no—
1540C2×C4—611no—
1541C2×C4—611no—
1542C2×C4—611no—
1543C2×C4—611no—
1544C2×C4—1222no—
1545C2×C4—1222no—
1546C2×C4—1222no—
1547C2×C4—1221no—
1548C2×C4—1221no—
1549C2×C4—1221no—
1550C2×C4—1221no—
1551C2×C4—1221no—
1552C2×C4—1221no—
1553C2×C4—1221no—
1554C2×C4—1221no—
1555C2×C4—1221no—
1556C2×C4—1221no—
1557C2×C4—4881no—
1558C2×C4—4881no—
1559C2×C4—4881no—
1560C2×C4—2441no—
1561C2×C4—2442no—
1562C2×C4—2442no—
1563C2×C4—2442no—
1564C2×C4—2441no—
1565C2×C4—2441no—
1566C2×C4—2442no—
1567C2×C4C2×D4×D6111yescharacteristic
1568C2×C4C2×D4×D6111yescharacteristic
1569C2×C4C2×D4×D6111yescharacteristic
1570C2×C4C2×D4×D6111yescharacteristic
1571C2×C4C24×D6111yescharacteristic
1572C8—21no—
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—1221no—
1577C8—1221no—
1578C8—1221no—
1579C8—1221no—
1580C22—21no—
1581C22—21no—
1582C22—21no—
1583C22—21no—
1584C22—21no—
1585C22—21no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—1221no—
1593C22—1221no—
1594C22—1221no—
1595C22C22×D4×D6111yescharacteristic
1596C4—21no—
1597C4—21no—
1598C4—22no—
1599C4—21no—
1600C4—21no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—612no—
1607C4—1221no—
1608C4—1221no—
1609C4—1221no—
1610C4—1221no—
1611C4—1221no—
1612C4—1221no—
1613C4—2441no—
1614C4—2441no—
1615C4—2441no—
1616C4—2441no—
1617C4—2441no—
1618C4—2441no—
1619C4—2441no—
1620C4—2441no—
1621C4C2×#1451982411yescharacteristic
1622C4#1684059711yescharacteristic
1623C2—41no—
1624C2—41no—
1625C2—81no—
1626C2—81no—
1627C2—2441no—
1628C2#2145949011yescharacteristic
1629C2#575×D6111yescharacteristic
1630C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3317C2
socleC22×C61C23×D4
prime radical#21459418C2
hypercenter#3317D61
hypocenterC61#62118
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3317

Complements

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

NH ≅ G/Ntype
1. #21459697C2semidirect
3. #21458787C2semidirect
4. #21458785C2semidirect
5. #21458582C2semidirect
6. #21458580C2semidirect
7. #21458385C2semidirect
8. #21458383C2semidirect
9. #21458370C2semidirect
10. #21458368C2semidirect
11. #21458351C2semidirect
12. #21458349C2semidirect
13. #21458088C2semidirect
14. #21458080C2semidirect
15. #21457945C2semidirect
16. #21457889C2semidirect
17. #21457881C2semidirect
18. #21457204C2semidirect
19. #21457185C2semidirect
20. #21457149C2semidirect
21. #21457047C2semidirect
22. #21457012C2semidirect
23. #21456995C2semidirect
24. #21455974C2semidirect
25. #21455947C2semidirect
26. #21455883C2semidirect
27. #21455630C2semidirect
28. #21455622C2semidirect
29. #21455603C2semidirect
30. #21454931C2semidirect
31. C61×#3317C2semidirect
823. #3317D61semidirect
1018. C61#62118semidirect

Maximal subgroups

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

subgroupindex
#214596972
#214594182
#214587872
#214587852
#214585822
#214585802
#214583852
#214583832
#214583702
#214583682
#214583512
#214583492
#214580882
#214580802
#214579452
#214578892
#214578812
#214572042
#214571852
#214571492
#214570472
#214570122
#214569952
#214559742
#214559472
#214558832
#214556302
#214556222
#214556032
#214549312
C61×#33172
#6211861