Finite Group Databasebeta

← #30575900

Subgroups — #30575900

Order 15616.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459697C211yesmaximal, characteristic, complemented
2#21459376C211yesmaximal, characteristic
3#21458771C211yesmaximal, characteristic, complemented
4#21458763C211yesmaximal, characteristic, complemented
5#21458664C211yesmaximal, characteristic, complemented
6#21458662C211yesmaximal, characteristic, complemented
7#21458390C211yesmaximal, characteristic, complemented
8#21458387C211yesmaximal, characteristic, complemented
9#21458353C211yesmaximal, characteristic, complemented
10#21458345C211yesmaximal, characteristic, complemented
11#21458334C211yesmaximal, characteristic, complemented
12#21458038C211yesmaximal, characteristic, complemented
13#21458030C211yesmaximal, characteristic, complemented
14#21457917C211yesmaximal, characteristic, complemented
15#21457909C211yesmaximal, characteristic, complemented
16#21457861C211yesmaximal, characteristic, complemented
17#21457853C211yesmaximal, characteristic, complemented
18#21457212C211yesmaximal, characteristic, complemented
19#21457185C211yesmaximal, characteristic, complemented
20#21457149C211yesmaximal, characteristic, complemented
21#21457047C211yesmaximal, characteristic, complemented
22#21457034C211yesmaximal, characteristic, complemented
23#21456995C211yesmaximal, characteristic, complemented
24#21455976C211yesmaximal, characteristic, complemented
25#21455916C211yesmaximal, characteristic, complemented
26#21455885C211yesmaximal, characteristic, complemented
27#21455632C211yesmaximal, characteristic, complemented
28#21455614C211yesmaximal, characteristic, complemented
29#21455605C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic, complemented
31C61×#3348C211yesmaximal, characteristic, complemented
32#16840489—21no—
33#16840489C2211yescharacteristic, complemented
34#16840488C2211yescharacteristic, complemented
35#16840483C2211yescharacteristic
36#16840482C2211yescharacteristic
37#16840480C2211yescharacteristic
38#16840479—21no—
39#16840473C2211yescharacteristic
40#16840459—21no—
41#16840454C2211yescharacteristic
42#16840452C2211yescharacteristic, complemented
43#16840451—21no—
44#16840451C2211yescharacteristic
45#16840451C2211yescharacteristic
46#16840449—21no—
47#16840447C2211yescharacteristic
48#16840445—21no—
49#16840442—21no—
50#16840442—21no—
51#16840417C2211yescharacteristic
52#16840409C2211yescharacteristic
53#16840409C2211yescharacteristic
54#16840371—21no—
55#16840369—21no—
56#16840334—21no—
57#16840318C2211yescharacteristic
58#16840317C2211yescharacteristic
59#16840316C2211yescharacteristic
60#16840315C2211yescharacteristic, complemented
61#16840314C2211yescharacteristic, complemented
62#16840314C2211yescharacteristic, complemented
63C2×#14519776C2211yescharacteristic, complemented
64#16840293C2211yescharacteristic
65#16840293C2211yescharacteristic
66#16840291—21no—
67#16840291—21no—
68#16840272—21no—
69#16840239—21no—
70#16840230C2211yescharacteristic
71#16840230C2211yescharacteristic
72C4×#11758224C2211yescharacteristic
73C4×D4×D61C2211yescharacteristic
74#117×D61—21no—
75#16840169C2211yescharacteristic, complemented
76#16840169C2211yescharacteristic, complemented
77#16840168C2211yescharacteristic, complemented
78#16840163C2211yescharacteristic, complemented
79#16840162C2211yescharacteristic, complemented
80#16840132C2211yescharacteristic, complemented
81#16840131C2211yescharacteristic, complemented
82#16840120C2211yescharacteristic
83#16840120C2211yescharacteristic
84#16840115C2211yescharacteristic
85#16840115C2211yescharacteristic
86#16840106C2211yescharacteristic
87#16840106C2211yescharacteristic
88#16840105C2211yescharacteristic
89#16840105C2211yescharacteristic
90#16840104C2211yescharacteristic, complemented
91#16840103C2211yescharacteristic, complemented
92#16840103C2211yescharacteristic, complemented
93#16840103C2211yescharacteristic, complemented
94#16840099C2211yescharacteristic
95#16840098C2211yescharacteristic, complemented
96#16840097C2211yescharacteristic, complemented
97#16840096C2211yescharacteristic
98#16840083C2211yescharacteristic
99#16840078C2211yescharacteristic
100#16840072C2211yescharacteristic, complemented
101#16840072C2211yescharacteristic, complemented
102#16840071C2211yescharacteristic, complemented
103#16840068C2211yescharacteristic, complemented
104#16840068C2211yescharacteristic, complemented
105#16840067C2211yescharacteristic, complemented
106#16840065C2211yescharacteristic
107#16840063C2211yescharacteristic
108#16840062C2211yescharacteristic
109#16840061C2211yescharacteristic
110#16840059C2211yescharacteristic
111#16840056C2211yescharacteristic, complemented
112#16840056C2211yescharacteristic, complemented
113#16840056C2211yescharacteristic, complemented
114#16840056C2211yescharacteristic, complemented
115#16840051C2211yescharacteristic
116#16840051C2211yescharacteristic
117#16840051C2211yescharacteristic
118#16840050C2211yescharacteristic
119#16840046C2211yescharacteristic, complemented
120#16840046C2211yescharacteristic, complemented
121#16840046C2211yescharacteristic, complemented
122#16840046C2211yescharacteristic, complemented
123#16840044C2211yescharacteristic, complemented
124#16840041C2211yescharacteristic
125#16840041C2211yescharacteristic
126#16840040C2211yescharacteristic
127#16840040C2211yescharacteristic
128#16840021C2211yescharacteristic
129#16840021C2211yescharacteristic
130#16840020C2211yescharacteristic, complemented
131#16840019C2211yescharacteristic
132#16840019C2211yescharacteristic
133#16840018C2211yescharacteristic, complemented
134#16840006C2211yescharacteristic
135#16840003C2211yescharacteristic, complemented
136#16840001C2211yescharacteristic, complemented
137#16839989C2211yescharacteristic
138#16839983C2211yescharacteristic
139#16839983C2211yescharacteristic
140#16839982C2211yescharacteristic
141#16839982C2211yescharacteristic
142#16839973C2211yescharacteristic, complemented
143#16839972C2211yescharacteristic, complemented
144#16839971C2211yescharacteristic, complemented
145#16839971C2211yescharacteristic, complemented
146#16839966C2211yescharacteristic
147#16839965C2211yescharacteristic
148#16839926C2211yescharacteristic
149#16839926C2211yescharacteristic
150#16839922C2211yescharacteristic
151#16839922C2211yescharacteristic
152#16839914C2211yescharacteristic
153#16839911C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155#16839890C2211yescharacteristic, complemented
156#16839868C2211yescharacteristic, complemented
157#16839866C2211yescharacteristic, complemented
158#16839865C2211yescharacteristic
159#16839864C2211yescharacteristic
160#16839862C2211yescharacteristic
161#16839861C2211yescharacteristic
162#16839860C2211yescharacteristic
163#16839856C2211yescharacteristic, complemented
164#16839854C2211yescharacteristic, complemented
165#16839849C2211yescharacteristic
166#16839847C2211yescharacteristic
167#16839838C2211yescharacteristic
168#16839837C2211yescharacteristic
169#16839834C2211yescharacteristic, complemented
170#16839833C2211yescharacteristic
171#16839830C2211yescharacteristic
172#16839817C2211yescharacteristic
173#16839816C2211yescharacteristic, complemented
174#16839812C2211yescharacteristic, complemented
175#16839805C2211yescharacteristic, complemented
176#16839803C2211yescharacteristic
177#16839801C2211yescharacteristic
178#16839798C2211yescharacteristic, complemented
179#16839785C2211yescharacteristic, complemented
180#16839784C2211yescharacteristic
181C2×#14519706C2211yescharacteristic, complemented
182#16839765C2211yescharacteristic
183#16839765C2211yescharacteristic
184#16839764C2211yescharacteristic
185#16839761C2211yescharacteristic
186#16839759C2211yescharacteristic
187#16839756C2211yescharacteristic
188C61×#555C2211yescharacteristic
189C61×#552C2211yescharacteristic, complemented
190C61×#501C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#485C2211yescharacteristic, complemented
193C61×#482C2211yescharacteristic
194C61×#481C2211yescharacteristic
195C61×#478C2211yescharacteristic
196C61×#475C2211yescharacteristic, complemented
197C61×#468C2211yescharacteristic
198C61×#465C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C61×#435C2211yescharacteristic, complemented
201C61×#428C2211yescharacteristic, complemented
202C61×#427C2211yescharacteristic, complemented
203C2×#11758222C2311yescharacteristic
204C2×#11758222C2311yescharacteristic
205C2×#11758224D411yescharacteristic
206C22×Dic122—21no—
207C2×D4×D61C2311yescharacteristic
208C22×C4×D61—21no—
209C2×Dic244C2311yescharacteristic
210C2×Dic244C2311yescharacteristic
211C2×#11758202C2311yescharacteristic
212C2×#11758202C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758200C2311yescharacteristic
215C2×#11758201C2311yescharacteristic
216C2×#11758194C2311yescharacteristic
217C2×#11758189C2311yescharacteristic
218C2×#11758189C2311yescharacteristic
219C22×#92418C2311yescharacteristic
220#14519777C2311yescharacteristic
221#14519776—21no—
222#14519776—21no—
223#14519776—21no—
224#14519776—21no—
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519775C2311yescharacteristic
231#14519772—21no—
232#14519772—21no—
233#14519772—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#14519769—21no—
245#14519769—21no—
246#14519769—21no—
247#14519769C2311yescharacteristic
248#14519768—21no—
249#14519768—21no—
250#14519768—21no—
251#14519768C2311yescharacteristic
252#14519768C2311yescharacteristic
253#14519768C2311yescharacteristic
254#14519768C2311yescharacteristic
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519767—21no—
261#14519767—21no—
262#14519764C2311yescharacteristic
263#14519764C2311yescharacteristic
264#14519763—21no—
265#14519763—21no—
266#14519761—21no—
267#14519760—21no—
268#14519759—21no—
269#14519759—21no—
270#14519759—21no—
271#14519759—21no—
272#14519759—21no—
273#14519759—21no—
274#14519758—21no—
275#14519758—21no—
276#14519758—21no—
277#14519757—21no—
278#14519757C2311yescharacteristic
279#14519757C2311yescharacteristic
280#14519757C2311yescharacteristic
281#14519756—21no—
282#14519756C2311yescharacteristic
283#14519756C2311yescharacteristic
284#14519756C2311yescharacteristic
285#14519756C2311yescharacteristic
286#14519755—21no—
287#14519755—21no—
288#14519755—21no—
289#14519754—21no—
290#14519754—21no—
291#14519754—21no—
292#14519754—21no—
293#14519753—21no—
294#14519753—21no—
295#14519753—21no—
296#14519753C2311yescharacteristic
297#14519748—21no—
298#14519748—21no—
299#14519748—21no—
300#14519745—21no—
301#14519745—21no—
302Q8×Dic61—21no—
303Q8×Dic61C2311yescharacteristic
304Q8×Dic61C2311yescharacteristic
305C4×Dic122—21no—
306C4×Dic122—21no—
307C4×Dic122—21no—
308C4×Dic122—21no—
309C4×Dic122—21no—
310C4×Dic122C2311yescharacteristic
311C4×Dic122C2311yescharacteristic
312#14519742—21no—
313#14519742—21no—
314#14519742—21no—
315#14519742—21no—
316#14519742—21no—
317#14519742—21no—
318#14519742D411yescharacteristic
319#14519742C2311yescharacteristic
320#14519742C2311yescharacteristic
321#14519742C2311yescharacteristic
322#14519742C2311yescharacteristic
323#14519742C2311yescharacteristic
324#14519742C2311yescharacteristic
325C4×D244C2311yescharacteristic
326D4×Dic61—21no—
327D4×Dic61—21no—
328D4×Dic61D411yescharacteristic
329D4×Dic61C2311yescharacteristic
330#14519739C2311yescharacteristic
331#14519739C2311yescharacteristic
332#14519739C2311yescharacteristic
333C4×C22⋊D61—21no—
334C4×C22⋊D61C2311yescharacteristic
335C4×C22⋊D61C2311yescharacteristic
336#14519737—21no—
337#14519737—21no—
338#14519737—21no—
339#14519737—21no—
340#14519737—21no—
341#14519737D411yescharacteristic
342#14519737D411yescharacteristic
343#14519736—21no—
344#14519736—21no—
345#14519736C2311yescharacteristic
346#14519735—21no—
347#14519735D411yescharacteristic
348#14519735C2311yescharacteristic
349#14519735C2311yescharacteristic
350#14519734—21no—
351#14519734—21no—
352#14519734—21no—
353#14519734—21no—
354#14519734—21no—
355#14519733—21no—
356#14519733—21no—
357#14519733—21no—
358#14519733—21no—
359#14519733—21no—
360#14519733—21no—
361#14519733D411yescharacteristic
362#14519733D411yescharacteristic
363C2×C4⋊Dic61C2311yescharacteristic
364C2×#11758196—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61C2311yescharacteristic
368C22⋊C4×D61—21no—
369C22⋊C4×D61—21no—
370C22⋊C4×D61—21no—
371C2×C4×Dic61C2311yescharacteristic
372C2×C4×Dic61C2311yescharacteristic
373C42×D61—21no—
374C42×D61—21no—
375C42×D61C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
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#14519701C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×SD16×C61C2311yescharacteristic
436C2×M16×C61C2311yescharacteristic
437C22×C8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#126×C61—21no—
440#125×C61—21no—
441#125×C61C2311yescharacteristic
442#124×C61—21no—
443#124×C61—21no—
444#123×C61—21no—
445C22⋊Q8×C61C2311yescharacteristic
446C22⋊Q8×C61C2311yescharacteristic
447#121×C61—21no—
448#121×C61C2311yescharacteristic
449#121×C61C2311yescharacteristic
450C4×Q8×C61C2311yescharacteristic
451C4×D4×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453#117×C61—21no—
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#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C23×D61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61C2411yescharacteristic
481C2×D4×C61—21no—
482C2×D4×C61—21no—
483C2×D4×C61C2×D411yescharacteristic
484C2×D4×C61C2411yescharacteristic
485C22×C4×C61—21no—
486C22×C4×C61—21no—
487C22×C4×C61C2411yescharacteristic
488C22×C4×C61C2411yescharacteristic
489C2×C22⋊D61—21no—
490C2×C22⋊D61—21no—
491C2×C22⋊D61—21no—
492C2×C22⋊D61C2×D411yescharacteristic
493C2×C22⋊D61C2×D411yescharacteristic
494C22×Dic61—21no—
495C22×Dic61—21no—
496C22×Dic61C2×D411yescharacteristic
497C22×Dic61C2×D411yescharacteristic
498C22×Dic61C2×D411yescharacteristic
499C22×Dic61C2×D411yescharacteristic
500#11758224—42no—
501D4×D61—22no—
502D4×D61—41no—
503#11758222—22no—
504#11758222—22no—
505#11758222—41no—
506#11758222—41no—
507C2×D244C2411yescharacteristic
508C2×C4×D61—21no—
509C2×C4×D61—21no—
510C2×C4×D61—21no—
511C2×C4×D61—21no—
512C2×C4×D61—21no—
513C2×C4×D61—21no—
514C2×C4×D61—21no—
515C2×C4×D61—44no—
516C2×C4×D61C2×D411yescharacteristic
517C2×C4×D61C2×D411yescharacteristic
518C2×C4×D61C2411yescharacteristic
519C2×Dic122—21no—
520C2×Dic122—21no—
521C2×Dic122—21no—
522C2×Dic122—21no—
523C2×Dic122—21no—
524C2×Dic122—44no—
525C2×Dic122C2×D411yescharacteristic
526C2×Dic122C2411yescharacteristic
527C2×Dic122C2411yescharacteristic
528C2×Dic122C2411yescharacteristic
529SD16×C61—41no—
530M16×C61—41no—
531C2×C8×C61—41no—
532C2×C8×C61C2411yescharacteristic
533C2×C8×C61C2411yescharacteristic
534C2×C8×C61C2411yescharacteristic
535C2×C8×C61C2411yescharacteristic
536C4⋊C4×C61—21no—
537C4⋊C4×C61—21no—
538C4⋊C4×C61—21no—
539C4⋊C4×C61—21no—
540C4⋊C4×C61—21no—
541C4⋊C4×C61—21no—
542C4⋊C4×C61—21no—
543C4⋊C4×C61C2×D411yescharacteristic
544C4⋊C4×C61C2411yescharacteristic
545C4⋊C4×C61C2411yescharacteristic
546C4⋊C4×C61C2411yescharacteristic
547C4⋊C4×C61C2411yescharacteristic
548C4⋊C4×C61C2411yescharacteristic
549C4⋊C4×C61C2411yescharacteristic
550C22⋊C4×C61—21no—
551C22⋊C4×C61—21no—
552C22⋊C4×C61—21no—
553C22⋊C4×C61—21no—
554C22⋊C4×C61—21no—
555C22⋊C4×C61—21no—
556C22⋊C4×C61—21no—
557C22⋊C4×C61—21no—
558C22⋊C4×C61C2×D411yescharacteristic
559C22⋊C4×C61C2×D411yescharacteristic
560C42×C61—21no—
561C42×C61—21no—
562C42×C61—21no—
563C42×C61—21no—
564C42×C61C2411yescharacteristic
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⋊Dic61C2×D411yescharacteristic
576C22⋊Dic61C2×D411yescharacteristic
577#11758202—41no—
578#11758202—41no—
579#11758201—22no—
580#11758200—41no—
581#11758198—21no—
582#11758198—21no—
583#11758198—21no—
584#11758198—21no—
585#11758198—21no—
586#11758198—21no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198C2×D411yescharacteristic
592#11758198C2×D411yescharacteristic
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⋊Dic61—21no—
605C4⋊Dic61C2×D411yescharacteristic
606C4⋊Dic61C2411yescharacteristic
607C4⋊Dic61C2411yescharacteristic
608C4⋊Dic61C2411yescharacteristic
609C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
635#11758196—21no—
636#11758196C2×D411yescharacteristic
637#11758196C2×D411yescharacteristic
638#11758196C2×D411yescharacteristic
639#11758196C2×D411yescharacteristic
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×Dic61C2×D411yescharacteristic
653C4×Dic61C2×D411yescharacteristic
654C4×Dic61C2×D411yescharacteristic
655C4×Dic61C2×D411yescharacteristic
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2411yescharacteristic
659C4×Dic61C2411yescharacteristic
660C4×Dic61C2411yescharacteristic
661#11758194—41no—
662C2×#92418—41no—
663C2×#92418C2411yescharacteristic
664C2×#92418C2411yescharacteristic
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667Dic244—41no—
668Dic244—41no—
669#11758190—22no—
670#11758189—41no—
671#11758189—41no—
672C23×C61—21no—
673C23×C61C22×D411yescharacteristic
674C23×C61C22×D411yescharacteristic
675C22×D61—21no—
676C22×D61—42no—
677C22×D61—42no—
678C22×D61—81no—
679C22×D61C22×D411yescharacteristic
680Q8×C61—21no—
681Q8×C61—21no—
682Q8×C61—81no—
683D4×C61—21no—
684D4×C61—21no—
685D4×C61—41no—
686D4×C61—81no—
687D4×C61—81no—
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—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—42no—
700C2×C4×C61—42no—
701C2×C4×C61C22×D411yescharacteristic
702C2×C4×C61C22×D411yescharacteristic
703C2×C4×C61C22×D411yescharacteristic
704C2×C4×C61C22×D411yescharacteristic
705C2×C4×C61C2511yescharacteristic
706C22⋊D61—41no—
707C22⋊D61—41no—
708C22⋊D61—42no—
709C22⋊D61—42no—
710C22⋊D61—42no—
711C2×Dic61—22no—
712C2×Dic61—22no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—41no—
721C2×Dic61—41no—
722C2×Dic61—42no—
723C2×Dic61—42no—
724C2×Dic61C22×D411yescharacteristic
725C2×Dic61C22×D411yescharacteristic
726C2×Dic61C22×D411yescharacteristic
727C2×Dic61C22×D411yescharacteristic
728C2×Dic61C22×D411yescharacteristic
729C2×Dic61C22×D411yescharacteristic
730C2×Dic61C22×D411yescharacteristic
731D244—21no—
732D2442−1+412yes—
733C4×D61—21no—
734C4×D61—21no—
735C4×D61—22no—
736C4×D61—41no—
737C4×D61—42no—
738C4×D61—42no—
739C4×D61—42no—
740C4×D61—42no—
741C4×D61—42no—
742C4×D61—81no—
743C4×D61—81no—
744Dic122—21no—
745Dic122—21no—
746Dic122—21no—
747Dic122—21no—
748Dic122—21no—
749Dic122—21no—
750Dic122—41no—
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#62116—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×C61C23×D411yescharacteristic
775C2×D61—21no—
776C2×D61—21no—
777C2×D61—22no—
778C2×D61—21no—
779C2×D61—41no—
780C2×D61—41no—
781C2×D61—84no—
782C4×C61—21no—
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×C61—41no—
792C4×C61—41no—
793C4×C61C2×2−1+411yescharacteristic
794C4×C61#58511yescharacteristic
795Dic61—21no—
796Dic61—21no—
797Dic61—21no—
798Dic61—21no—
799Dic61—21no—
800Dic61—21no—
801Dic61—41no—
802Dic61—41no—
803Dic61—41no—
804Dic61—41no—
805Dic61—41no—
806Dic61—41no—
807Dic61—41no—
808Dic61#57512yes—
809#3509—611no—
810#3475—611no—
811#3388—611no—
812#3388—611no—
813#3377—611no—
814#3377—611no—
815#3352—611no—
816#3352—611no—
817#3349—611no—
818#3349—611no—
819#3348—611no—
820#3348D6111yescharacteristic, complemented
821#3323—611no—
822#3323—611no—
823#3315—611no—
824#3315—611no—
825#3311—611no—
826#3311—611no—
827#3255—611no—
828#3252—611no—
829#3248—611no—
830#3239—611no—
831#3237—611no—
832#3233—611no—
833#3116—611no—
834#3110—611no—
835#3107—611no—
836#3079—611no—
837#3077—611no—
838#3076—611no—
839#2989—611no—
840C2×C61—41no—
841C2×C61—41no—
842C2×C61—81no—
843C2×C61#348911yescharacteristic
844C2×C61C2×#57511yescharacteristic
845C2×C61#358611yescharacteristic
846D61—41no—
847D61—42no—
848#557—611no—
849#557—611no—
850#557—1221no—
851#556—611no—
852#556—611no—
853#556—611no—
854#556—1221no—
855#555C2×D6111yescharacteristic
856#554—611no—
857#553—1221no—
858#552—611no—
859#552—611no—
860#552—611no—
861#552—611no—
862#552—611no—
863#552—1221no—
864#552—1221no—
865#552—1221no—
866#552C2×D6111yescharacteristic, complemented
867#551—1221no—
868#551—1221no—
869#547—611no—
870#546—611no—
871#546—611no—
872#541—1221no—
873#541—1221no—
874#536—1221no—
875#533—611no—
876#533—611no—
877#533—611no—
878#533—611no—
879#533—611no—
880#533—611no—
881C2×C4⋊Q8—611no—
882#529—611no—
883#529—611no—
884#529—1221no—
885#529—1221no—
886#525—1221no—
887#519—1221no—
888C4×#41—611no—
889C4×#41—611no—
890C4×#41—611no—
891C2×C4×D4—611no—
892C2×#117—1221no—
893#501—611no—
894#501—611no—
895#501—611no—
896#501C2×D6111yescharacteristic, complemented
897#499—611no—
898#499—611no—
899#491—611no—
900#491—611no—
901#489—611no—
902#489—611no—
903#488—611no—
904#488—611no—
905#485—611no—
906#485—611no—
907#485—611no—
908#485—611no—
909#485—611no—
910#485—611no—
911#485—611no—
912#485—611no—
913#485C2×D6111yescharacteristic, complemented
914#485C2×D6111yescharacteristic, complemented
915#484—611no—
916#484—611no—
917#484—611no—
918#484—611no—
919#482—611no—
920#482C2×D6111yescharacteristic
921#481—611no—
922#481C2×D6111yescharacteristic
923#479—611no—
924#479—611no—
925#479—611no—
926#479—611no—
927#479—611no—
928#479—611no—
929#478—611no—
930#478—611no—
931#478—611no—
932#478—611no—
933#478—611no—
934#478C2×D6111yescharacteristic
935#477—611no—
936#477—611no—
937#477—611no—
938#477—611no—
939#476—611no—
940#476—611no—
941#476—611no—
942#476—611no—
943#475—611no—
944#475—611no—
945#475—611no—
946#475—611no—
947#475—611no—
948#475C2×D6111yescharacteristic, complemented
949#474—611no—
950#474—611no—
951#474—611no—
952#474—611no—
953#470—611no—
954#470—611no—
955#470—611no—
956#470—611no—
957#470—611no—
958#470—611no—
959#468—611no—
960#468C2×D6111yescharacteristic
961#467—611no—
962#467—611no—
963#465—611no—
964#465C2×D6111yescharacteristic
965#464—611no—
966#464—611no—
967#464—611no—
968#464—611no—
969#462—611no—
970#462—611no—
971#462—611no—
972#462—611no—
973#461—611no—
974#461—611no—
975#452—611no—
976#452—611no—
977#452—611no—
978#452—611no—
979#450—611no—
980#450—611no—
981#446—611no—
982#446—611no—
983#441—611no—
984#441—611no—
985#440—611no—
986#440—611no—
987#440—611no—
988#440—611no—
989#440—611no—
990#440C2×D6111yescharacteristic
991C4×Q16—611no—
992C4×Q16—611no—
993C4×SD16—611no—
994C4×SD16—611no—
995#436—611no—
996#436—611no—
997#435—611no—
998#435—611no—
999#435—611no—
1000#435C2×D6111yescharacteristic, complemented
1001#432—611no—
1002#432—611no—
1003#431—611no—
1004#428—611no—
1005#428—611no—
1006#428—611no—
1007#428C2×D6111yescharacteristic, complemented
1008#427—611no—
1009#427C2×D6111yescharacteristic, complemented
1010#423—611no—
1011#423—611no—
1012C2×C4⋊C8—611no—
1013#418—611no—
1014#418—611no—
1015#417—611no—
1016#417—611no—
1017#416—611no—
1018#416—611no—
1019C61#6211611yescharacteristic, complemented, Sylow
1020C2×#41—611no—
1021C2×#41—611no—
1022C2×#41—611no—
1023C22×Q8—1221no—
1024C22×D4—611no—
1025C23×C4—1221no—
1026C2×Q16—611no—
1027C2×Q16—611no—
1028C2×Q16—611no—
1029C2×Q16—611no—
1030C2×SD16—611no—
1031C2×SD16—611no—
1032C2×SD16—611no—
1033C2×SD16C22×D6111yescharacteristic
1034C2×M16—611no—
1035C2×M16—611no—
1036C2×M16—611no—
1037C2×M16C22×D6111yescharacteristic
1038C22×C8—611no—
1039C22×C8C22×D6111yescharacteristic
1040C4⋊Q8—611no—
1041C4⋊Q8—611no—
1042C4⋊Q8—611no—
1043C4⋊Q8—611no—
1044C4⋊Q8—611no—
1045C4⋊Q8—611no—
1046C4⋊Q8—611no—
1047C4⋊Q8—1221no—
1048C4⋊Q8—1221no—
1049C4⋊Q8—1221no—
1050C4⋊Q8—1221no—
1051C4⋊Q8C22×D6111yescharacteristic
1052#126—21no—
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#126—1221no—
1064#126—1221no—
1065#126—1221no—
1066#125—21no—
1067#125—611no—
1068#125—611no—
1069#125—611no—
1070#125—611no—
1071#125—611no—
1072#125—1221no—
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—21no—
1087#124—21no—
1088#124—611no—
1089#124—611no—
1090#124—1221no—
1091#124—1221no—
1092#123—21no—
1093#123—1221no—
1094#123—1221no—
1095#123—1221no—
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⋊Q8C22×D6111yescharacteristic
1125C22⋊Q8C22×D6111yescharacteristic
1126#121—21no—
1127#121—1221no—
1128#121—1221no—
1129#121—1221no—
1130#121C22×D6111yescharacteristic
1131#121C22×D6111yescharacteristic
1132#120—1221no—
1133#120—1221no—
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×Q8C22×D6111yescharacteristic
1158C4×D4—611no—
1159C4×D4—611no—
1160C4×D4—611no—
1161C4×D4—611no—
1162C4×D4—611no—
1163C4×D4—611no—
1164C4×D4—611no—
1165C4×D4—611no—
1166C4×D4—611no—
1167C4×D4—611no—
1168C4×D4—1221no—
1169C4×D4—1221no—
1170C4×D4—1221no—
1171C4×D4—1221no—
1172C4×D4—1221no—
1173C4×D4—1221no—
1174C4×D4—1221no—
1175C4×D4—1221no—
1176C4×D4C22×D6111yescharacteristic
1177C4×D4C22×D6111yescharacteristic
1178#117—21no—
1179#117—21no—
1180#117—611no—
1181#117—611no—
1182#117—611no—
1183#117—611no—
1184#117—611no—
1185#117—611no—
1186#117—1221no—
1187#117—1221no—
1188#117—1221no—
1189#117—1221no—
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#117C22×D6111yescharacteristic
1201#117C22×D6111yescharacteristic
1202#117C22×D6111yescharacteristic
1203C2×C4⋊C4—611no—
1204C2×C4⋊C4—611no—
1205C2×C4⋊C4—1221no—
1206C2×C4⋊C4—1221no—
1207C2×C4⋊C4—1221no—
1208C2×C4⋊C4C22×D6111yescharacteristic
1209C2×C22⋊C4—1221no—
1210C2×C22⋊C4—1221no—
1211C2×C22⋊C4—1221no—
1212C2×C42—611no—
1213C2×C42—611no—
1214C2×C42—611no—
1215C2×C42—1221no—
1216C2×C42—1221no—
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#107C22×D6111yescharacteristic
1226#107C22×D6111yescharacteristic
1227#107C22×D6111yescharacteristic
1228#107C22×D6111yescharacteristic
1229#106—611no—
1230#106—611no—
1231#106—611no—
1232#106—611no—
1233#106—611no—
1234#106—611no—
1235#106—611no—
1236#106C22×D6111yescharacteristic
1237#106C22×D6111yescharacteristic
1238#106C22×D6111yescharacteristic
1239#106C22×D6111yescharacteristic
1240#106C22×D6111yescharacteristic
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⋊C8—611no—
1250C4⋊C8C22×D6111yescharacteristic
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#103—611no—
1267#103—611no—
1268#103C22×D6111yescharacteristic
1269#103C22×D6111yescharacteristic
1270#103C22×D6111yescharacteristic
1271#102—611no—
1272#102—611no—
1273#102—611no—
1274#102—611no—
1275#102—611no—
1276#102—611no—
1277#102—611no—
1278#102—611no—
1279#102—611no—
1280#102C22×D6111yescharacteristic
1281#102C22×D6111yescharacteristic
1282#102C22×D6111yescharacteristic
1283C22⋊C8—611no—
1284C22⋊C8—611no—
1285C22⋊C8—611no—
1286C22⋊C8—611no—
1287C22⋊C8C22×D6111yescharacteristic
1288C22⋊C8C22×D6111yescharacteristic
1289#97—611no—
1290#97—611no—
1291#97—611no—
1292#97C22×D6111yescharacteristic
1293C4×C8—611no—
1294C4×C8—611no—
1295C24—1221no—
1296#41—1222no—
1297#41—1222no—
1298#41—2441no—
1299#41—2441no—
1300#41—2442no—
1301C2×Q8—21no—
1302C2×Q8—611no—
1303C2×Q8—611no—
1304C2×Q8—611no—
1305C2×Q8—611no—
1306C2×Q8—1221no—
1307C2×Q8—1221no—
1308C2×Q8—1221no—
1309C2×Q8—1221no—
1310C2×Q8—1221no—
1311C2×Q8—2444no—
1312C2×Q8C23×D6111yescharacteristic
1313C2×D4—21no—
1314C2×D4—21no—
1315C2×D4—611no—
1316C2×D4—611no—
1317C2×D4—611no—
1318C2×D4—1221no—
1319C2×D4—1222no—
1320C2×D4—1221no—
1321C2×D4—1221no—
1322C2×D4—2441no—
1323C2×D4D4×D6111yescharacteristic
1324C2×D4C23×D6111yescharacteristic
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—611no—
1328C22×C4—611no—
1329C22×C4—611no—
1330C22×C4—611no—
1331C22×C4—611no—
1332C22×C4—611no—
1333C22×C4—611no—
1334C22×C4—1221no—
1335C22×C4—1221no—
1336C22×C4—1221no—
1337C22×C4—1221no—
1338C22×C4—1221no—
1339C22×C4—1221no—
1340C22×C4—1221no—
1341C22×C4—1221no—
1342C22×C4—1221no—
1343C22×C4—2444no—
1344C22×C4C23×D6111yescharacteristic
1345C22×C4C23×D6111yescharacteristic
1346Q16—2441no—
1347Q16—2441no—
1348Q16—2441no—
1349Q16—2441no—
1350SD16—41no—
1351SD16—1222no—
1352SD16—1222no—
1353SD16—2441no—
1354M16—41no—
1355M16—2441no—
1356M16—2441no—
1357M16—2441no—
1358C2×C8—41no—
1359C2×C8—611no—
1360C2×C8—611no—
1361C2×C8—611no—
1362C2×C8—611no—
1363C2×C8—2441no—
1364C2×C8C23×D6111yescharacteristic
1365C2×C8C23×D6111yescharacteristic
1366C2×C8C23×D6111yescharacteristic
1367C2×C8C23×D6111yescharacteristic
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—611no—
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—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⋊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⋊C4D4×D6111yescharacteristic
1423C4⋊C4C23×D6111yescharacteristic
1424C4⋊C4C23×D6111yescharacteristic
1425C4⋊C4C23×D6111yescharacteristic
1426C4⋊C4C23×D6111yescharacteristic
1427C4⋊C4C23×D6111yescharacteristic
1428C4⋊C4C23×D6111yescharacteristic
1429C22⋊C4—21no—
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—21no—
1435C22⋊C4—21no—
1436C22⋊C4—21no—
1437C22⋊C4—611no—
1438C22⋊C4—611no—
1439C22⋊C4—611no—
1440C22⋊C4—611no—
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⋊C4—1221no—
1459C22⋊C4—1221no—
1460C22⋊C4—1221no—
1461C22⋊C4D4×D6111yescharacteristic
1462C22⋊C4D4×D6111yescharacteristic
1463C42—21no—
1464C42—21no—
1465C42—21no—
1466C42—21no—
1467C42—611no—
1468C42—611no—
1469C42—611no—
1470C42—611no—
1471C42—611no—
1472C42—611no—
1473C42—611no—
1474C42—611no—
1475C42—611no—
1476C42—1221no—
1477C42—1221no—
1478C42—1221no—
1479C42—1221no—
1480C42—1221no—
1481C42—1221no—
1482C42—1221no—
1483C42—1221no—
1484C42—1221no—
1485C42—1221no—
1486C42—1221no—
1487C42—1221no—
1488C42C23×D6111yescharacteristic
1489C23—21no—
1490C23—611no—
1491C23—1221no—
1492C23—4881no—
1493C23—2442no—
1494C23—2442no—
1495C23C2×D4×D6111yescharacteristic
1496C23C2×D4×D6111yescharacteristic
1497Q8—21no—
1498Q8—21no—
1499Q8—81no—
1500Q8—1221no—
1501Q8—1221no—
1502Q8—1221no—
1503Q8—1221no—
1504Q8—1221no—
1505Q8—1221no—
1506Q8—2441no—
1507Q8—2442no—
1508Q8—2442no—
1509Q8—2442no—
1510Q8—2442no—
1511Q8—2442no—
1512D4—21no—
1513D4—21no—
1514D4—41no—
1515D4—81no—
1516D4—81no—
1517D4—612no—
1518D4—1221no—
1519D4—2441no—
1520D4—2441no—
1521D4—2442no—
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—21no—
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—4881no—
1557C2×C4—4881no—
1558C2×C4—2441no—
1559C2×C4—2442no—
1560C2×C4—2442no—
1561C2×C4—2442no—
1562C2×C4—2442no—
1563C2×C4—2442no—
1564C2×C4—2442no—
1565C2×C4—2441no—
1566C2×C4—2441no—
1567C2×C4—2442no—
1568C2×C4C2×D4×D6111yescharacteristic
1569C2×C4C2×D4×D6111yescharacteristic
1570C2×C4C2×D4×D6111yescharacteristic
1571C2×C4C2×D4×D6111yescharacteristic
1572C2×C4C24×D6111yescharacteristic
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—21no—
1577C8—1221no—
1578C8—1221no—
1579C8—1221no—
1580C8—1221no—
1581C22—21no—
1582C22—21no—
1583C22—21no—
1584C22—21no—
1585C22—21no—
1586C22—21no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—1221no—
1591C22—1222no—
1592C22—1221no—
1593C22—1221no—
1594C22—4884no—
1595C22—2441no—
1596C22—2441no—
1597C22C22×D4×D6111yescharacteristic
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—21no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—612no—
1610C4—1221no—
1611C4—1221no—
1612C4—1221no—
1613C4—1221no—
1614C4—1221no—
1615C4—1221no—
1616C4—2441no—
1617C4—2441no—
1618C4—2441no—
1619C4—2441no—
1620C4—2441no—
1621C4—2441no—
1622C4—2441no—
1623C42−1+4×D6111yescharacteristic
1624C4#1684059811yescharacteristic
1625C2—41no—
1626C2—41no—
1627C2—81no—
1628C2—2441no—
1629C2—2442no—
1630C2#2145949311yescharacteristic
1631C2#575×D6111yescharacteristic
1632C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3348C2
socleC22×C61C23×D4
prime radical#21459376C2
hypercenter#3348D61
hypocenterC61#62116
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3348

Complements

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

NH ≅ G/Ntype
1. #21459697C2semidirect
3. #21458771C2semidirect
4. #21458763C2semidirect
5. #21458664C2semidirect
6. #21458662C2semidirect
7. #21458390C2semidirect
8. #21458387C2semidirect
9. #21458353C2semidirect
10. #21458345C2semidirect
11. #21458334C2semidirect
12. #21458038C2semidirect
13. #21458030C2semidirect
14. #21457917C2semidirect
15. #21457909C2semidirect
16. #21457861C2semidirect
17. #21457853C2semidirect
18. #21457212C2semidirect
19. #21457185C2semidirect
20. #21457149C2semidirect
21. #21457047C2semidirect
22. #21457034C2semidirect
23. #21456995C2semidirect
24. #21455976C2semidirect
25. #21455916C2semidirect
26. #21455885C2semidirect
27. #21455632C2semidirect
28. #21455614C2semidirect
29. #21455605C2semidirect
30. #21454931C2semidirect
31. C61×#3348C2semidirect
33. #16840489C22semidirect
34. #16840488C22semidirect
42. #16840452C22semidirect
60. #16840315C22semidirect
61. #16840314C22semidirect
62. #16840314C22semidirect
63. C2×#14519776C22semidirect
75. #16840169C22semidirect
76. #16840169C22semidirect
77. #16840168C22semidirect
78. #16840163C22semidirect
79. #16840162C22semidirect
80. #16840132C22semidirect
81. #16840131C22semidirect
90. #16840104C22semidirect
91. #16840103C22semidirect
92. #16840103C22semidirect
93. #16840103C22semidirect
95. #16840098C22semidirect
96. #16840097C22semidirect
100. #16840072C22semidirect
101. #16840072C22semidirect
102. #16840071C22semidirect
103. #16840068C22semidirect
104. #16840068C22semidirect
105. #16840067C22semidirect
111. #16840056C22semidirect
112. #16840056C22semidirect
113. #16840056C22semidirect
114. #16840056C22semidirect
119. #16840046C22semidirect
120. #16840046C22semidirect
121. #16840046C22semidirect
122. #16840046C22semidirect
123. #16840044C22semidirect
130. #16840020C22semidirect
133. #16840018C22semidirect
135. #16840003C22semidirect
136. #16840001C22semidirect
142. #16839973C22semidirect
143. #16839972C22semidirect
144. #16839971C22semidirect
145. #16839971C22semidirect
154. #16839891C22semidirect
155. #16839890C22semidirect
156. #16839868C22semidirect
157. #16839866C22semidirect
163. #16839856C22semidirect
164. #16839854C22semidirect
169. #16839834C22semidirect
173. #16839816C22semidirect
174. #16839812C22semidirect
175. #16839805C22semidirect
178. #16839798C22semidirect
179. #16839785C22semidirect
181. C2×#14519706C22semidirect
189. C61×#552C22semidirect
190. C61×#501C22semidirect
191. C61×#485C22semidirect
192. C61×#485C22semidirect
196. C61×#475C22semidirect
200. C61×#435C22semidirect
201. C61×#428C22semidirect
202. C61×#427C22semidirect
820. #3348D61semidirect
866. #552C2×D61semidirect
896. #501C2×D61semidirect
913. #485C2×D61semidirect
914. #485C2×D61semidirect
948. #475C2×D61semidirect
1000. #435C2×D61semidirect
1007. #428C2×D61semidirect
1009. #427C2×D61semidirect
1019. C61#62116semidirect

Maximal subgroups

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

subgroupindex
#214596972
#214593762
#214587712
#214587632
#214586642
#214586622
#214583902
#214583872
#214583532
#214583452
#214583342
#214580382
#214580302
#214579172
#214579092
#214578612
#214578532
#214572122
#214571852
#214571492
#214570472
#214570342
#214569952
#214559762
#214559162
#214558852
#214556322
#214556142
#214556052
#214549312
C61×#33482
#6211661