Finite Group Databasebeta

← #30571167

Subgroups — #30571167

Order 15616.

1730 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459682C211yesmaximal, characteristic, complemented
2#556×D61C211yesmaximal, characteristic, complemented
3#21458900C211yesmaximal, characteristic, complemented
4#21458899C211yesmaximal, characteristic, complemented
5#21458897C211yesmaximal, characteristic, complemented
6#21458894C211yesmaximal, characteristic, complemented
7#21458892C211yesmaximal, characteristic, complemented
8#21458890C211yesmaximal, characteristic, complemented
9#21458883C211yesmaximal, characteristic, complemented
10#21458881C211yesmaximal, characteristic, complemented
11#21458667C211yesmaximal, characteristic, complemented
12#21458664C211yesmaximal, characteristic, complemented
13#21458659C211yesmaximal, characteristic, complemented
14#21458656C211yesmaximal, characteristic, complemented
15#21458653C211yesmaximal, characteristic, complemented
16#21458646C211yesmaximal, characteristic, complemented
17#21458645C211yesmaximal, characteristic, complemented
18#21456847C211yesmaximal, characteristic, complemented
19#21456845C211yesmaximal, characteristic, complemented
20#21456823C211yesmaximal, characteristic, complemented
21#21456804C211yesmaximal, characteristic
22#21456785C211yesmaximal, characteristic, complemented
23#21456782C211yesmaximal, characteristic, complemented
24#21455962C211yesmaximal, characteristic, complemented
25#21455955C211yesmaximal, characteristic, complemented
26#21455951C211yesmaximal, characteristic, complemented
27#21455939C211yesmaximal, characteristic, complemented
28#21455904C211yesmaximal, characteristic, complemented
29#21455897C211yesmaximal, characteristic, complemented
30#21454901C211yesmaximal, characteristic, complemented
31C61×#3376C211yesmaximal, characteristic, complemented
32#16840495C2211yescharacteristic, complemented
33#16840495C2211yescharacteristic, complemented
34#16840489C2211yescharacteristic, complemented
35#16840489C2211yescharacteristic, complemented
36#16840486C2211yescharacteristic
37#16840485C2211yescharacteristic
38#16840485C2211yescharacteristic, complemented
39#16840484C2211yescharacteristic
40#16840484C2211yescharacteristic
41#16840483—21no—
42#16840483—21no—
43#16840483—21no—
44#16840482C2211yescharacteristic
45#16840482C2211yescharacteristic, complemented
46#16840481C2211yescharacteristic
47#16840481C2211yescharacteristic
48#16840480—21no—
49#16840479—21no—
50#16840479—21no—
51#16840473C2211yescharacteristic, complemented
52#16840447—21no—
53#16840446—21no—
54#16840358—21no—
55#16840358—21no—
56#16840335—21no—
57#16840317C2211yescharacteristic
58#16840309C2211yescharacteristic
59C4⋊Q8×D61C2211yescharacteristic
60#16840297C2211yescharacteristic
61#16840297C2211yescharacteristic
62#16840294C2211yescharacteristic
63#16840294C2211yescharacteristic
64#126×D61—21no—
65#126×D61—21no—
66#124×D61C2211yescharacteristic
67#124×D61C2211yescharacteristic
68C22⋊Q8×D61—21no—
69#16840243—21no—
70C4×Q8×D61C2211yescharacteristic
71C4×Q8×D61C2211yescharacteristic
72C4×Q8×D61C2211yescharacteristic
73C4×D4×D61C2211yescharacteristic
74#117×D61—21no—
75#16840157C2211yescharacteristic
76#16840156C2211yescharacteristic
77#16840156C2211yescharacteristic, complemented
78#16840154C2211yescharacteristic, complemented
79#16840153C2211yescharacteristic, complemented
80#16840153C2211yescharacteristic, complemented
81#16840150C2211yescharacteristic
82#16840148C2211yescharacteristic
83#16840146C2211yescharacteristic
84#16840145C2211yescharacteristic
85#16840144C2211yescharacteristic
86#16840143C2211yescharacteristic
87#16840132C2211yescharacteristic, complemented
88#16840129C2211yescharacteristic, complemented
89#16840129C2211yescharacteristic, complemented
90#16840124C2211yescharacteristic
91#16840123C2211yescharacteristic
92#16840120C2211yescharacteristic
93#16840119C2211yescharacteristic
94#16840118C2211yescharacteristic
95#16840115C2211yescharacteristic
96#16840094C2211yescharacteristic
97#16840094C2211yescharacteristic
98#16840077C2211yescharacteristic
99#16840074C2211yescharacteristic
100#16840072C2211yescharacteristic, complemented
101#16840071C2211yescharacteristic, complemented
102#16840066C2211yescharacteristic, complemented
103#16840061C2211yescharacteristic
104#16840060C2211yescharacteristic
105#16840059C2211yescharacteristic
106#16840056C2211yescharacteristic, complemented
107#16840055C2211yescharacteristic, complemented
108#16840044C2211yescharacteristic, complemented
109#16839987C2211yescharacteristic
110#16839987C2211yescharacteristic
111#16839987C2211yescharacteristic
112#16839985C2211yescharacteristic
113#16839985C2211yescharacteristic, complemented
114#16839984C2211yescharacteristic, complemented
115#16839983C2211yescharacteristic
116#16839983C2211yescharacteristic
117#16839983C2211yescharacteristic
118#16839983C2211yescharacteristic, complemented
119#16839982C2211yescharacteristic, complemented
120#16839981C2211yescharacteristic
121#16839980C2211yescharacteristic
122#16839978C2211yescharacteristic
123#16839978C2211yescharacteristic
124#16839977C2211yescharacteristic
125#16839977C2211yescharacteristic
126#16839977C2211yescharacteristic
127#16839976C2211yescharacteristic
128#16839976C2211yescharacteristic
129#16839975C2211yescharacteristic
130#16839974C2211yescharacteristic
131#16839973C2211yescharacteristic, complemented
132#16839973C2211yescharacteristic, complemented
133#16839972C2211yescharacteristic, complemented
134#16839971C2211yescharacteristic, complemented
135#16839971C2211yescharacteristic, complemented
136#16839969C2211yescharacteristic, complemented
137#16839967C2211yescharacteristic, complemented
138#16839966C2211yescharacteristic, complemented
139#16839966C2211yescharacteristic, complemented
140#16839961C2211yescharacteristic, complemented
141#16839960C2211yescharacteristic, complemented
142#16839919C2211yescharacteristic
143#16839919C2211yescharacteristic
144#16839919C2211yescharacteristic
145#16839919C2211yescharacteristic
146#16839914C2211yescharacteristic
147#16839914C2211yescharacteristic
148#16839902C2211yescharacteristic
149#16839902C2211yescharacteristic
150#16839899C2211yescharacteristic
151#16839899C2211yescharacteristic
152#16839897C2211yescharacteristic
153#16839894C2211yescharacteristic
154#16839893C2211yescharacteristic, complemented
155#16839892C2211yescharacteristic, complemented
156#16839891C2211yescharacteristic, complemented
157#16839891C2211yescharacteristic, complemented
158#16839890C2211yescharacteristic, complemented
159#16839890C2211yescharacteristic, complemented
160#16839889C2211yescharacteristic, complemented
161#16839873C2211yescharacteristic
162#16839872C2211yescharacteristic
163#16839871C2211yescharacteristic
164#16839868C2211yescharacteristic, complemented
165#16839868C2211yescharacteristic, complemented
166#16839866C2211yescharacteristic, complemented
167#16839866C2211yescharacteristic, complemented
168#16839864C2211yescharacteristic
169#16839864C2211yescharacteristic, complemented
170#16839862C2211yescharacteristic
171#16839862C2211yescharacteristic, complemented
172#16839861C2211yescharacteristic
173#16839860C2211yescharacteristic, complemented
174#16839859C2211yescharacteristic
175C4×Dic244C2211yescharacteristic, complemented
176#16839856C2211yescharacteristic, complemented
177C4×#11758202C2211yescharacteristic, complemented
178#16839854C2211yescharacteristic, complemented
179#16839849C2211yescharacteristic, complemented
180C4×#11758200C2211yescharacteristic, complemented
181#16839847C2211yescharacteristic, complemented
182#16839818C2211yescharacteristic
183#16839818C2211yescharacteristic
184#16839817C2211yescharacteristic
185#16839817C2211yescharacteristic
186#16839814C2211yescharacteristic
187#16839813C2211yescharacteristic
188C61×#556C2211yescharacteristic
189C61×#554C2211yescharacteristic, complemented
190C61×#491C2211yescharacteristic, complemented
191C61×#489C2211yescharacteristic
192C61×#488C2211yescharacteristic
193C61×#479C2211yescharacteristic, complemented
194C61×#478C2211yescharacteristic
195C61×#475C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic
197C61×#463C2211yescharacteristic
198C61×#461C2211yescharacteristic, complemented
199C61×#446C2211yescharacteristic, complemented
200C61×#442C2211yescharacteristic
201C61×#440C2211yescharacteristic, complemented
202C4×SD16×C61C2211yescharacteristic, complemented
203C2×#11758222—21no—
204C2×Q8×D61D411yescharacteristic
205C2×Q8×D61C2311yescharacteristic
206C2×Q8×D61C2311yescharacteristic
207C2×D4×D61C2311yescharacteristic
208C22×C4×D61—21no—
209C2×Dic244C2311yescharacteristic
210C2×Dic244C2311yescharacteristic
211C2×Dic244C2311yescharacteristic
212C2×Dic244C2311yescharacteristic
213C2×#11758202C2311yescharacteristic
214C2×#11758202C2311yescharacteristic
215C2×#11758202C2311yescharacteristic
216C2×#11758202C2311yescharacteristic
217C2×#11758190C2311yescharacteristic
218C2×#11758190C2311yescharacteristic
219C2×#11758190C2311yescharacteristic
220C2×#11758190C2311yescharacteristic
221C2×#11758200C2311yescharacteristic
222C2×#11758200C2311yescharacteristic
223C2×#11758200C2311yescharacteristic
224C2×#11758200C2311yescharacteristic
225C2×#11758201C2311yescharacteristic
226C2×#11758201C2311yescharacteristic
227C2×D488C2311yescharacteristic
228C2×#11758199C2311yescharacteristic
229C2×#11758199C2311yescharacteristic
230#14519777C2311yescharacteristic
231#14519777C2311yescharacteristic
232#14519776—21no—
233#14519776—21no—
234#14519776—21no—
235#14519776—21no—
236#14519776C2311yescharacteristic
237#14519775C2311yescharacteristic
238#14519775C2311yescharacteristic
239#14519773C2311yescharacteristic
240#14519772—21no—
241#14519772—21no—
242#14519772—21no—
243#14519772—21no—
244#14519772—21no—
245#14519772—21no—
246#14519772—21no—
247#14519772—21no—
248#14519772—21no—
249#14519772—21no—
250#14519771—21no—
251#14519771—21no—
252#14519770—21no—
253#14519770—21no—
254#14519770—21no—
255#14519770—21no—
256#14519770—21no—
257#14519770—21no—
258#14519770—21no—
259#14519770—21no—
260#14519770—21no—
261#14519770—21no—
262#14519768—21no—
263#14519768C2311yescharacteristic
264#14519768C2311yescharacteristic
265#14519767—21no—
266#14519767—21no—
267#14519767—21no—
268#14519767—21no—
269#14519766C2311yescharacteristic
270#14519766C2311yescharacteristic
271#14519765C2311yescharacteristic
272#14519765C2311yescharacteristic
273#14519765C2311yescharacteristic
274#14519765C2311yescharacteristic
275#14519764C2311yescharacteristic
276#14519764C2311yescharacteristic
277#14519764C2311yescharacteristic
278#14519764C2311yescharacteristic
279#14519763—21no—
280#14519763—21no—
281#14519763—21no—
282#14519763—21no—
283#14519763—21no—
284#14519763—21no—
285#14519763—21no—
286#14519762—21no—
287#14519762—21no—
288#14519760—21no—
289#14519760—21no—
290#14519759—21no—
291#14519759—21no—
292#14519759—21no—
293#14519759—21no—
294#14519757—21no—
295#14519757—21no—
296#14519757C2311yescharacteristic
297#14519757C2311yescharacteristic
298#14519756—21no—
299#14519756—21no—
300#14519755—21no—
301#14519755—21no—
302#14519754—21no—
303#14519754—21no—
304#14519753—21no—
305#14519753—21no—
306#14519753—21no—
307#14519753—21no—
308#14519753—21no—
309#14519752C2311yescharacteristic
310#14519750—21no—
311#14519748C2311yescharacteristic
312Q8×Dic61—21no—
313Q8×Dic61D411yescharacteristic
314Q8×Dic61C2311yescharacteristic
315Q8×Dic61C2311yescharacteristic
316C4×Dic122—21no—
317C4×Dic122—21no—
318C4×Dic122C2311yescharacteristic
319C4×Dic122C2311yescharacteristic
320C4×Dic122C2311yescharacteristic
321C4×Dic122C2311yescharacteristic
322C4×Dic122C2311yescharacteristic
323C4×Dic122C2311yescharacteristic
324C4×Dic122C2311yescharacteristic
325#14519742—21no—
326#14519742—21no—
327#14519742—21no—
328#14519742—21no—
329#14519742D411yescharacteristic
330#14519742D411yescharacteristic
331#14519742D411yescharacteristic
332#14519742C2311yescharacteristic
333#14519742C2311yescharacteristic
334#14519742C2311yescharacteristic
335#14519742C2311yescharacteristic
336#14519742C2311yescharacteristic
337#14519742C2311yescharacteristic
338C4×D244C2311yescharacteristic
339C4×D244C2311yescharacteristic
340D4×Dic61C2311yescharacteristic
341#14519739—21no—
342#14519739—21no—
343#14519739C2311yescharacteristic
344#14519739C2311yescharacteristic
345#14519739C2311yescharacteristic
346C4×C22⋊D61—21no—
347C4×C22⋊D61—21no—
348C4×C22⋊D61—21no—
349C4×C22⋊D61—21no—
350C4×C22⋊D61—21no—
351C4×C22⋊D61—21no—
352#14519737—21no—
353#14519736—21no—
354#14519736—21no—
355#14519736—21no—
356#14519736—21no—
357#14519735—21no—
358#14519735—21no—
359#14519735—21no—
360#14519735—21no—
361#14519735—21no—
362#14519735—21no—
363#14519734—21no—
364#14519734—21no—
365#14519733—21no—
366#14519733—21no—
367C4⋊C4×D61—21no—
368C4⋊C4×D61—21no—
369C4⋊C4×D61—21no—
370C4⋊C4×D61—21no—
371C4⋊C4×D61—21no—
372C4⋊C4×D61D411yescharacteristic
373C4⋊C4×D61D411yescharacteristic
374C4⋊C4×D61D411yescharacteristic
375C4⋊C4×D61C2311yescharacteristic
376C22⋊C4×D61—21no—
377C22⋊C4×D61—21no—
378C22⋊C4×D61—21no—
379C22⋊C4×D61—21no—
380C22⋊C4×D61—21no—
381C42×D61—21no—
382C42×D61—21no—
383C42×D61C2311yescharacteristic
384C42×D61C2311yescharacteristic
385C42×D61C2311yescharacteristic
386#14519711C2311yescharacteristic
387#14519710C2311yescharacteristic
388#14519710C2311yescharacteristic
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#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519697C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519689C2311yescharacteristic
423#14519689C2311yescharacteristic
424#14519689C2311yescharacteristic
425#14519689C2311yescharacteristic
426#14519688C2311yescharacteristic
427#14519688C2311yescharacteristic
428#14519687C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432C4×#92418C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×SD16×C61C2311yescharacteristic
436C2×SD16×C61C2311yescharacteristic
437C2×D8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439C4⋊Q8×C61C2311yescharacteristic
440#126×C61—21no—
441#126×C61—21no—
442#125×C61C2311yescharacteristic
443#125×C61C2311yescharacteristic
444#124×C61C2311yescharacteristic
445#124×C61C2311yescharacteristic
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448C22⋊Q8×C61—21no—
449C22⋊Q8×C61—21no—
450C4×Q8×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×Q8×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457#117×C61—21no—
458C2×C4⋊C4×C61—21no—
459#107×C61C2311yescharacteristic
460#106×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#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C23×D61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61C2×D411yescharacteristic
481C2×Q8×C61C2411yescharacteristic
482C2×Q8×C61C2411yescharacteristic
483C2×D4×C61C2411yescharacteristic
484C2×D4×C61C2411yescharacteristic
485C22×C4×C61—21no—
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C2×C22⋊D61—21no—
490C2×C22⋊D61—21no—
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
493C22×Dic61—21no—
494Q8×D61—41no—
495Q8×D61—41no—
496Q8×D61—41no—
497Q8×D61—41no—
498Q8×D61—42no—
499D4×D61—41no—
500D4×D61—41no—
501#11758222—44no—
502C2×D244—21no—
503C2×D244C2411yescharacteristic
504C2×D244C2411yescharacteristic
505C2×C4×D61—21no—
506C2×C4×D61—21no—
507C2×C4×D61—21no—
508C2×C4×D61—21no—
509C2×C4×D61—21no—
510C2×C4×D61—21no—
511C2×C4×D61—21no—
512C2×C4×D61—21no—
513C2×C4×D61—44no—
514C2×C4×D61C2×D411yescharacteristic
515C2×C4×D61C2×D411yescharacteristic
516C2×C4×D61C2×D411yescharacteristic
517C2×C4×D61C2×D411yescharacteristic
518C2×C4×D61C2×D411yescharacteristic
519C2×C4×D61C2×D411yescharacteristic
520C2×C4×D61C2411yescharacteristic
521C2×Dic122—21no—
522C2×Dic122—21no—
523C2×Dic122—21no—
524C2×Dic122C2×D411yescharacteristic
525C2×Dic122C2×D411yescharacteristic
526C2×Dic122C2×D411yescharacteristic
527C2×Dic122C2411yescharacteristic
528C2×Dic122C2411yescharacteristic
529C2×Dic122C2411yescharacteristic
530C2×Dic122C2411yescharacteristic
531SD16×C61—41no—
532SD16×C61—41no—
533D8×C61—41no—
534C2×C8×C61C2411yescharacteristic
535C2×C8×C61C2411yescharacteristic
536C2×C8×C61C2411yescharacteristic
537C2×C8×C61C2411yescharacteristic
538C4⋊C4×C61—21no—
539C4⋊C4×C61—21no—
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×C61C2×D411yescharacteristic
549C4⋊C4×C61C2×D411yescharacteristic
550C4⋊C4×C61C2411yescharacteristic
551C4⋊C4×C61C2411yescharacteristic
552C4⋊C4×C61C2411yescharacteristic
553C4⋊C4×C61C2411yescharacteristic
554C22⋊C4×C61—21no—
555C22⋊C4×C61—21no—
556C22⋊C4×C61—21no—
557C22⋊C4×C61—21no—
558C22⋊C4×C61—21no—
559C22⋊C4×C61—21no—
560C22⋊C4×C61—21no—
561C22⋊C4×C61—21no—
562C42×C61—21no—
563C42×C61—21no—
564C42×C61C2411yescharacteristic
565C42×C61C2411yescharacteristic
566C42×C61C2411yescharacteristic
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—
577#11758202—41no—
578#11758202—41no—
579#11758202—41no—
580#11758202—41no—
581#11758201—41no—
582#11758201—41no—
583#11758200—41no—
584#11758200—41no—
585#11758200—41no—
586#11758200—41no—
587#11758199—41no—
588#11758199—41no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61C2×D411yescharacteristic
620C4⋊Dic61C2×D411yescharacteristic
621C4⋊Dic61C2×D411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196C2×D411yescharacteristic
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2×D411yescharacteristic
663C4×Dic61C2×D411yescharacteristic
664C4×Dic61C2×D411yescharacteristic
665C4×Dic61C2×D411yescharacteristic
666C4×Dic61C2411yescharacteristic
667C4×Dic61C2411yescharacteristic
668C4×Dic61C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670C2×#92418C2411yescharacteristic
671C2×#92418C2411yescharacteristic
672C2×#92418C2411yescharacteristic
673Dic244—41no—
674Dic244—41no—
675Dic244—41no—
676Dic244—41no—
677D488—41no—
678#11758190—41no—
679#11758190—41no—
680#11758190—41no—
681#11758190—41no—
682C23×C61—21no—
683C23×C61—21no—
684C22×D61—21no—
685C22×D61—21no—
686C22×D61—42no—
687C22×D61—42no—
688C22×D61—42no—
689C22×D61C22×D411yescharacteristic
690Q8×C61—21no—
691Q8×C61—21no—
692Q8×C61—21no—
693Q8×C61—21no—
694Q8×C61—41no—
695Q8×C61—81no—
696D4×C61—21no—
697D4×C61—21no—
698D4×C61—21no—
699D4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—42no—
707C2×C4×C61—42no—
708C2×C4×C61—81no—
709C2×C4×C61—81no—
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C22×D411yescharacteristic
715C2×C4×C61C22×D411yescharacteristic
716C2×C4×C61C2511yescharacteristic
717C22⋊D61—42no—
718C22⋊D61—42no—
719C22⋊D61—42no—
720C22⋊D61—81no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—42no—
728C2×Dic61C22×D411yescharacteristic
729C2×Dic61C22×D411yescharacteristic
730C2×Dic61C22×D411yescharacteristic
731C2×Dic61C22×D411yescharacteristic
732C2×Dic61C22×D411yescharacteristic
733C2×Dic61C22×D411yescharacteristic
734C2×Dic61C22×D411yescharacteristic
735D244—21no—
736D244—21no—
737D244—21no—
738D244—21no—
739D244—42no—
740C4×D61—22no—
741C4×D61—22no—
742C4×D61—22no—
743C4×D61—21no—
744C4×D61—21no—
745C4×D61—41no—
746C4×D61—41no—
747C4×D61—41no—
748C4×D61—42no—
749C4×D61—42no—
750C4×D61—42no—
751C4×D61—42no—
752C4×D61—42no—
753C4×D61—42no—
754C4×D61—81no—
755C4×D61—81no—
756Dic122—21no—
757Dic122—21no—
758Dic122—21no—
759Dic122—21no—
760Dic122—21no—
761Dic122—21no—
762Dic122—21no—
763Dic122—21no—
764Dic122—41no—
765Dic122—41no—
766Dic122—41no—
767Dic122—42no—
768Dic122—42no—
769Dic122—42no—
770C8×C61—21no—
771C8×C61—21no—
772C8×C61—21no—
773C8×C61—21no—
774#92418—21no—
775#92418—21no—
776#92418—21no—
777#92418—21no—
778#61894—611nomaximal, Sylow
779C22×C61—41no—
780C22×C61—41no—
781C22×C61—41no—
782C22×C61—41no—
783C22×C61—41no—
784C22×C61—41no—
785C22×C61C23×D411yescharacteristic
786C2×D61—21no—
787C2×D61—21no—
788C2×D61—41no—
789C2×D61—41no—
790C2×D61—41no—
791C2×D61—41no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—84no—
795C2×D61#57512yes—
796C4×C61—21no—
797C4×C61—21no—
798C4×C61—21no—
799C4×C61—21no—
800C4×C61—21no—
801C4×C61—21no—
802C4×C61—41no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61#58511yescharacteristic
809C4×C61#58511yescharacteristic
810Dic61—21no—
811Dic61—21no—
812Dic61—21no—
813Dic61—21no—
814Dic61—21no—
815Dic61—21no—
816Dic61—21no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823#3507—611no—
824C2×#556—611no—
825#3402—611no—
826#3402—611no—
827#3402—611no—
828#3402—611no—
829#3401—611no—
830#3401—611no—
831#3401—611no—
832#3401—611no—
833#3377—611no—
834#3377—611no—
835#3377—611no—
836#3377—611no—
837#3376—611no—
838#3376—611no—
839#3376—611no—
840#3376D6111yescharacteristic, complemented
841#3218—611no—
842#3218—611no—
843#3215—611no—
844#3213—611no—
845#3211—611no—
846#3211—611no—
847#3114—611no—
848#3114—611no—
849#3113—611no—
850#3112—611no—
851#3108—611no—
852#3108—611no—
853#2983—611no—
854C2×C61—81no—
855C2×C61—81no—
856C2×C61#348711yescharacteristic
857C2×C61C2×#57511yescharacteristic
858C2×C61#358611yescharacteristic
859D61—22no—
860D61—81no—
861D61—81no—
862#559—611no—
863#559—611no—
864#557—611no—
865#557—611no—
866#556—611no—
867#556—611no—
868#556—611no—
869#556—611no—
870#556—611no—
871#556—611no—
872#556—611no—
873#556—611no—
874#556—611no—
875#556—1221no—
876#556—1221no—
877#556—1221no—
878#556—1221no—
879#556—1221no—
880#556—1221no—
881#556C2×D6111yescharacteristic
882#554—611no—
883#554C2×D6111yescharacteristic, complemented
884#552—1221no—
885#552—1221no—
886#539—1221no—
887#539—1221no—
888#536—1221no—
889#533—611no—
890#532—611no—
891C2×C4⋊Q8—611no—
892#529—611no—
893#529—611no—
894#529—611no—
895#529—611no—
896C2×#126—1221no—
897C2×#126—1221no—
898C2×#124—611no—
899C2×#124—611no—
900C2×C22⋊Q8—1221no—
901#520—1221no—
902C2×C4×Q8—611no—
903C2×C4×Q8—611no—
904C2×C4×Q8—611no—
905C2×C4×D4—611no—
906C2×#117—1221no—
907#497—611no—
908#497—611no—
909#497—611no—
910#497—611no—
911#497—611no—
912#497—611no—
913#496—611no—
914#496—611no—
915#495—611no—
916#495—611no—
917#495—611no—
918#495—611no—
919#491—611no—
920#491—611no—
921#491—611no—
922#491C2×D6111yescharacteristic, complemented
923#489—611no—
924#489—611no—
925#489—611no—
926#489C2×D6111yescharacteristic
927#488—611no—
928#488—611no—
929#488—611no—
930#488C2×D6111yescharacteristic
931#483—611no—
932#483—611no—
933#480—611no—
934#480—611no—
935#479—611no—
936#479—611no—
937#479—611no—
938#479C2×D6111yescharacteristic, complemented
939#478—611no—
940#478—611no—
941#478—611no—
942#478C2×D6111yescharacteristic
943#477—611no—
944#477—611no—
945#475—611no—
946#475C2×D6111yescharacteristic, complemented
947#464—611no—
948#464—611no—
949#464—611no—
950#464—611no—
951#464—611no—
952#464—611no—
953#464—611no—
954#464—611no—
955#464—611no—
956#464—611no—
957#464—611no—
958#464—611no—
959#463—611no—
960#463—611no—
961#463—611no—
962#463—611no—
963#463—611no—
964#463—611no—
965#463—611no—
966#463—611no—
967#463—611no—
968#463—611no—
969#463C2×D6111yescharacteristic
970#463C2×D6111yescharacteristic
971#462—611no—
972#462—611no—
973#462—611no—
974#462—611no—
975#462—611no—
976#462—611no—
977#461—611no—
978#461—611no—
979#461—611no—
980#461C2×D6111yescharacteristic, complemented
981#460—611no—
982#460—611no—
983#451—611no—
984#451—611no—
985#451—611no—
986#451—611no—
987#450—611no—
988#450—611no—
989#448—611no—
990#448—611no—
991#448—611no—
992#448—611no—
993#447—611no—
994#447—611no—
995#446—611no—
996#446—611no—
997#446—611no—
998#446—611no—
999#446—611no—
1000#446—611no—
1001#446—611no—
1002#446C2×D6111yescharacteristic, complemented
1003#442—611no—
1004#442—611no—
1005#442—611no—
1006#442C2×D6111yescharacteristic
1007#441—611no—
1008#441—611no—
1009#441—611no—
1010#441—611no—
1011#440—611no—
1012#440—611no—
1013#440—611no—
1014#440—611no—
1015#440—611no—
1016#440—611no—
1017#440—611no—
1018#440C2×D6111yescharacteristic, complemented
1019C4×Q16—611no—
1020C4×Q16—611no—
1021C4×Q16—611no—
1022C4×Q16—611no—
1023C4×SD16—611no—
1024C4×SD16—611no—
1025C4×SD16—611no—
1026C4×SD16C2×D6111yescharacteristic, complemented
1027#432—611no—
1028#432—611no—
1029#432—611no—
1030#432—611no—
1031#431—611no—
1032#431—611no—
1033C61#6189411yescharacteristic, complemented, Sylow
1034C2×#41—1221no—
1035C22×Q8—611no—
1036C22×Q8—611no—
1037C22×Q8—611no—
1038C22×D4—611no—
1039C23×C4—1221no—
1040C2×Q16—611no—
1041C2×Q16—611no—
1042C2×Q16—611no—
1043C2×Q16—611no—
1044C2×Q16—611no—
1045C2×Q16—611no—
1046C2×Q16—611no—
1047C2×Q16—611no—
1048C2×SD16—611no—
1049C2×SD16—611no—
1050C2×SD16—611no—
1051C2×SD16—611no—
1052C2×SD16—611no—
1053C2×SD16—611no—
1054C2×SD16—611no—
1055C2×SD16—611no—
1056C2×SD16—611no—
1057C2×SD16—611no—
1058C2×SD16C22×D6111yescharacteristic
1059C2×SD16C22×D6111yescharacteristic
1060C2×D8—611no—
1061C2×D8—611no—
1062C2×D8—611no—
1063C2×D8C22×D6111yescharacteristic
1064C4⋊Q8—611no—
1065C4⋊Q8—611no—
1066C4⋊Q8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—1221no—
1070C4⋊Q8—1221no—
1071C4⋊Q8—1221no—
1072C4⋊Q8—1221no—
1073C4⋊Q8C22×D6111yescharacteristic
1074C4⋊Q8C22×D6111yescharacteristic
1075#127—611no—
1076#126—21no—
1077#126—21no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#126—1221no—
1084#126—1221no—
1085#126—1221no—
1086#126—1221no—
1087#126—1221no—
1088#126—1221no—
1089#126—1221no—
1090#126—1221no—
1091#126—1221no—
1092#126—1221no—
1093#126—1221no—
1094#126—1221no—
1095#126—1221no—
1096#126—1221no—
1097#126—1221no—
1098#126—1221no—
1099#126—1221no—
1100#125—611no—
1101#125—611no—
1102#125—1221no—
1103#125—1221no—
1104#125—1221no—
1105#125—1221no—
1106#125—1221no—
1107#125C22×D6111yescharacteristic
1108#125C22×D6111yescharacteristic
1109#124—611no—
1110#124—611no—
1111#124—611no—
1112#124—611no—
1113#124—611no—
1114#124—611no—
1115#124—611no—
1116#124—611no—
1117#124—611no—
1118#124—611no—
1119#124—1221no—
1120#124—1221no—
1121#124—1221no—
1122#124—1221no—
1123#124—1221no—
1124#124—1221no—
1125#124—1221no—
1126#124C22×D6111yescharacteristic
1127#124C22×D6111yescharacteristic
1128#123—1221no—
1129#123—1221no—
1130#123—1221no—
1131#123—1221no—
1132#123—1221no—
1133#123—1221no—
1134#123—1221no—
1135#123—1221no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—611no—
1141C22⋊Q8—611no—
1142C22⋊Q8—1221no—
1143C22⋊Q8—1221no—
1144C22⋊Q8—1221no—
1145C22⋊Q8—1221no—
1146C22⋊Q8—1221no—
1147C22⋊Q8—1221no—
1148C22⋊Q8—1221no—
1149C22⋊Q8—1221no—
1150C22⋊Q8—1221no—
1151C22⋊Q8—1221no—
1152C22⋊Q8—1221no—
1153C22⋊Q8—1221no—
1154C22⋊Q8—1221no—
1155#121—611no—
1156#121—611no—
1157#121—1221no—
1158C4×Q8—611no—
1159C4×Q8—611no—
1160C4×Q8—611no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—611no—
1165C4×Q8—611no—
1166C4×Q8—611no—
1167C4×Q8—611no—
1168C4×Q8—611no—
1169C4×Q8—611no—
1170C4×Q8—611no—
1171C4×Q8—611no—
1172C4×Q8—611no—
1173C4×Q8—611no—
1174C4×Q8—611no—
1175C4×Q8—611no—
1176C4×Q8—611no—
1177C4×Q8—1221no—
1178C4×Q8—1221no—
1179C4×Q8—1221no—
1180C4×Q8—1221no—
1181C4×Q8—1221no—
1182C4×Q8—1221no—
1183C4×Q8—1221no—
1184C4×Q8C22×D6111yescharacteristic
1185C4×Q8C22×D6111yescharacteristic
1186C4×Q8C22×D6111yescharacteristic
1187C4×D4—611no—
1188C4×D4—611no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—611no—
1192C4×D4—611no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4C22×D6111yescharacteristic
1203C4×D4C22×D6111yescharacteristic
1204C4×D4C22×D6111yescharacteristic
1205C4×D4C22×D6111yescharacteristic
1206#117—21no—
1207#117—1221no—
1208#117—1221no—
1209#117—1221no—
1210#117—1221no—
1211#117—1221no—
1212#117—1221no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221C2×C4⋊C4—21no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—1221no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C22⋊C4—1221no—
1232C2×C22⋊C4—1221no—
1233C2×C22⋊C4—1221no—
1234C2×C22⋊C4—1221no—
1235C2×C22⋊C4—1221no—
1236C2×C42—611no—
1237C2×C42—611no—
1238C2×C42—611no—
1239C2×C42—1221no—
1240C2×C42—1221no—
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107C22×D6111yescharacteristic
1245#106—611no—
1246#106—611no—
1247#106C22×D6111yescharacteristic
1248#106C22×D6111yescharacteristic
1249C4⋊C8—611no—
1250C4⋊C8—611no—
1251C4⋊C8—611no—
1252C4⋊C8—611no—
1253C4⋊C8—611no—
1254C4⋊C8—611no—
1255C4⋊C8—611no—
1256C4⋊C8—611no—
1257C4⋊C8—611no—
1258C4⋊C8C22×D6111yescharacteristic
1259C4⋊C8C22×D6111yescharacteristic
1260C4⋊C8C22×D6111yescharacteristic
1261#103—611no—
1262#103—611no—
1263#103—611no—
1264#103—611no—
1265#103—611no—
1266#103—611no—
1267#103—611no—
1268#103—611no—
1269#103—611no—
1270#103—611no—
1271#103—611no—
1272#103—611no—
1273#103—611no—
1274#103—611no—
1275#103C22×D6111yescharacteristic
1276#103C22×D6111yescharacteristic
1277#103C22×D6111yescharacteristic
1278#103C22×D6111yescharacteristic
1279#103C22×D6111yescharacteristic
1280#103C22×D6111yescharacteristic
1281#102—611no—
1282#102—611no—
1283#102—611no—
1284#102—611no—
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102C22×D6111yescharacteristic
1290#102C22×D6111yescharacteristic
1291#102C22×D6111yescharacteristic
1292#102C22×D6111yescharacteristic
1293C22⋊C8—611no—
1294C22⋊C8—611no—
1295C22⋊C8—611no—
1296C22⋊C8—611no—
1297#97—611no—
1298#97—611no—
1299#97—611no—
1300#97—611no—
1301#97—611no—
1302#97—611no—
1303#97C22×D6111yescharacteristic
1304#97C22×D6111yescharacteristic
1305C4×C8—611no—
1306C4×C8—611no—
1307C4×C8—611no—
1308C4×C8C22×D6111yescharacteristic
1309C24—1221no—
1310#41—2444no—
1311C2×Q8—21no—
1312C2×Q8—611no—
1313C2×Q8—611no—
1314C2×Q8—611no—
1315C2×Q8—611no—
1316C2×Q8—611no—
1317C2×Q8—611no—
1318C2×Q8—611no—
1319C2×Q8—1221no—
1320C2×Q8—1221no—
1321C2×Q8—1221no—
1322C2×Q8—2442no—
1323C2×Q8—2441no—
1324C2×Q8—2441no—
1325C2×Q8—2441no—
1326C2×Q8—2441no—
1327C2×Q8D4×D6111yescharacteristic
1328C2×Q8C23×D6111yescharacteristic
1329C2×Q8C23×D6111yescharacteristic
1330C2×D4—611no—
1331C2×D4—611no—
1332C2×D4—1221no—
1333C2×D4—1221no—
1334C2×D4—1221no—
1335C2×D4—1221no—
1336C2×D4—1221no—
1337C2×D4—2441no—
1338C2×D4—2441no—
1339C2×D4C23×D6111yescharacteristic
1340C2×D4C23×D6111yescharacteristic
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4—611no—
1346C22×C4—611no—
1347C22×C4—611no—
1348C22×C4—611no—
1349C22×C4—611no—
1350C22×C4—611no—
1351C22×C4—611no—
1352C22×C4—1221no—
1353C22×C4—1221no—
1354C22×C4—1221no—
1355C22×C4—1221no—
1356C22×C4—1221no—
1357C22×C4—1221no—
1358C22×C4—1221no—
1359C22×C4—1221no—
1360C22×C4—1221no—
1361C22×C4—2444no—
1362Q16—2441no—
1363Q16—2441no—
1364Q16—2441no—
1365Q16—2441no—
1366Q16—2441no—
1367Q16—2441no—
1368Q16—2441no—
1369Q16—2441no—
1370SD16—41no—
1371SD16—41no—
1372SD16—2441no—
1373SD16—2441no—
1374SD16—2441no—
1375SD16—2441no—
1376SD16—2441no—
1377SD16—2441no—
1378SD16—2441no—
1379SD16—2441no—
1380SD16—2441no—
1381SD16—2441no—
1382D8—41no—
1383D8—2441no—
1384D8—2441no—
1385D8—2441no—
1386C2×C8—611no—
1387C2×C8—611no—
1388C2×C8—611no—
1389C2×C8—611no—
1390C2×C8C23×D6111yescharacteristic
1391C2×C8C23×D6111yescharacteristic
1392C2×C8C23×D6111yescharacteristic
1393C2×C8C23×D6111yescharacteristic
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—611no—
1409C4⋊C4—611no—
1410C4⋊C4—611no—
1411C4⋊C4—611no—
1412C4⋊C4—611no—
1413C4⋊C4—611no—
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⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4D4×D6111yescharacteristic
1443C4⋊C4D4×D6111yescharacteristic
1444C4⋊C4D4×D6111yescharacteristic
1445C4⋊C4C23×D6111yescharacteristic
1446C4⋊C4C23×D6111yescharacteristic
1447C4⋊C4C23×D6111yescharacteristic
1448C4⋊C4C23×D6111yescharacteristic
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—1221no—
1458C22⋊C4—1221no—
1459C22⋊C4—1221no—
1460C22⋊C4—1221no—
1461C22⋊C4—1221no—
1462C22⋊C4—1221no—
1463C22⋊C4—1221no—
1464C22⋊C4—1221no—
1465C22⋊C4—1221no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C42—21no—
1488C42—21no—
1489C42—611no—
1490C42—611no—
1491C42—611no—
1492C42—611no—
1493C42—611no—
1494C42—611no—
1495C42—611no—
1496C42—611no—
1497C42—611no—
1498C42—1221no—
1499C42—1221no—
1500C42—1221no—
1501C42—1221no—
1502C42—1221no—
1503C42—1221no—
1504C42—1221no—
1505C42—1221no—
1506C42—1221no—
1507C42—1221no—
1508C42—1221no—
1509C42—1221no—
1510C42C23×D6111yescharacteristic
1511C42C23×D6111yescharacteristic
1512C42C23×D6111yescharacteristic
1513C23—21no—
1514C23—21no—
1515C23—611no—
1516C23—1221no—
1517C23—1221no—
1518C23—2442no—
1519C23—2442no—
1520C23—2442no—
1521Q8—21no—
1522Q8—21no—
1523Q8—21no—
1524Q8—21no—
1525Q8—41no—
1526Q8—81no—
1527Q8—1221no—
1528Q8—1221no—
1529Q8—1221no—
1530Q8—1221no—
1531Q8—1221no—
1532Q8—1221no—
1533Q8—1221no—
1534Q8—1221no—
1535Q8—2441no—
1536Q8—2441no—
1537Q8—2441no—
1538Q8—2442no—
1539Q8—2442no—
1540Q8—2442no—
1541D4—21no—
1542D4—21no—
1543D4—21no—
1544D4—21no—
1545D4—1221no—
1546D4—1221no—
1547D4—1221no—
1548D4—1221no—
1549D4—4881no—
1550D4—2442no—
1551D4—2442no—
1552D4—2442no—
1553D4—2442no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—42no—
1561C2×C4—42no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—611no—
1565C2×C4—611no—
1566C2×C4—611no—
1567C2×C4—611no—
1568C2×C4—611no—
1569C2×C4—611no—
1570C2×C4—611no—
1571C2×C4—1222no—
1572C2×C4—1222no—
1573C2×C4—1222no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—1221no—
1581C2×C4—1221no—
1582C2×C4—4881no—
1583C2×C4—4881no—
1584C2×C4—2441no—
1585C2×C4—2441no—
1586C2×C4—2441no—
1587C2×C4—2442no—
1588C2×C4—2442no—
1589C2×C4—2442no—
1590C2×C4—2442no—
1591C2×C4—2442no—
1592C2×C4—2442no—
1593C2×C4—2442no—
1594C2×C4C2×D4×D6111yescharacteristic
1595C2×C4C2×D4×D6111yescharacteristic
1596C2×C4C2×D4×D6111yescharacteristic
1597C2×C4C2×D4×D6111yescharacteristic
1598C2×C4C2×D4×D6111yescharacteristic
1599C2×C4C2×D4×D6111yescharacteristic
1600C2×C4C24×D6111yescharacteristic
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—1221no—
1606C8—1221no—
1607C8—1221no—
1608C8—1221no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—612no—
1616C22—1221no—
1617C22—1221no—
1618C22—4884no—
1619C22—2441no—
1620C22—2441no—
1621C22—2441no—
1622C22—2441no—
1623C22—2441no—
1624C22—2441no—
1625C22C22×D4×D6111yescharacteristic
1626C4—21no—
1627C4—21no—
1628C4—21no—
1629C4—21no—
1630C4—21no—
1631C4—21no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—1221no—
1639C4—1221no—
1640C4—1221no—
1641C4—1221no—
1642C4—1221no—
1643C4—1221no—
1644C4—1221no—
1645C4—2441no—
1646C4—2441no—
1647C4—2441no—
1648C4—2441no—
1649C4—2441no—
1650C4—2441no—
1651C4#1684059811yescharacteristic
1652C4#1684059911yescharacteristic
1653C2—81no—
1654C2—81no—
1655C2—1222no—
1656C2—4881no—
1657C2—4881no—
1658C2#2145947611yescharacteristic
1659C2#575×D6111yescharacteristic
1660C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3376C2
socleC22×C61C23×D4
prime radical#21456804C2
hypercenter#3376D61
hypocenterC61#61894
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3376

Complements

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

NH ≅ G/Ntype
1. #21459682C2semidirect
2. #556×D61C2semidirect
3. #21458900C2semidirect
4. #21458899C2semidirect
5. #21458897C2semidirect
6. #21458894C2semidirect
7. #21458892C2semidirect
8. #21458890C2semidirect
9. #21458883C2semidirect
10. #21458881C2semidirect
11. #21458667C2semidirect
12. #21458664C2semidirect
13. #21458659C2semidirect
14. #21458656C2semidirect
15. #21458653C2semidirect
16. #21458646C2semidirect
17. #21458645C2semidirect
18. #21456847C2semidirect
19. #21456845C2semidirect
20. #21456823C2semidirect
22. #21456785C2semidirect
23. #21456782C2semidirect
24. #21455962C2semidirect
25. #21455955C2semidirect
26. #21455951C2semidirect
27. #21455939C2semidirect
28. #21455904C2semidirect
29. #21455897C2semidirect
30. #21454901C2semidirect
31. C61×#3376C2semidirect
32. #16840495C22semidirect
33. #16840495C22semidirect
34. #16840489C22semidirect
35. #16840489C22semidirect
38. #16840485C22semidirect
45. #16840482C22semidirect
51. #16840473C22semidirect
77. #16840156C22semidirect
78. #16840154C22semidirect
79. #16840153C22semidirect
80. #16840153C22semidirect
87. #16840132C22semidirect
88. #16840129C22semidirect
89. #16840129C22semidirect
100. #16840072C22semidirect
101. #16840071C22semidirect
102. #16840066C22semidirect
106. #16840056C22semidirect
107. #16840055C22semidirect
108. #16840044C22semidirect
113. #16839985C22semidirect
114. #16839984C22semidirect
118. #16839983C22semidirect
119. #16839982C22semidirect
131. #16839973C22semidirect
132. #16839973C22semidirect
133. #16839972C22semidirect
134. #16839971C22semidirect
135. #16839971C22semidirect
136. #16839969C22semidirect
137. #16839967C22semidirect
138. #16839966C22semidirect
139. #16839966C22semidirect
140. #16839961C22semidirect
141. #16839960C22semidirect
154. #16839893C22semidirect
155. #16839892C22semidirect
156. #16839891C22semidirect
157. #16839891C22semidirect
158. #16839890C22semidirect
159. #16839890C22semidirect
160. #16839889C22semidirect
164. #16839868C22semidirect
165. #16839868C22semidirect
166. #16839866C22semidirect
167. #16839866C22semidirect
169. #16839864C22semidirect
171. #16839862C22semidirect
173. #16839860C22semidirect
175. C4×Dic244C22semidirect
176. #16839856C22semidirect
177. C4×#11758202C22semidirect
178. #16839854C22semidirect
179. #16839849C22semidirect
180. C4×#11758200C22semidirect
181. #16839847C22semidirect
189. C61×#554C22semidirect
190. C61×#491C22semidirect
193. C61×#479C22semidirect
195. C61×#475C22semidirect
198. C61×#461C22semidirect
199. C61×#446C22semidirect
201. C61×#440C22semidirect
202. C4×SD16×C61C22semidirect
840. #3376D61semidirect
883. #554C2×D61semidirect
922. #491C2×D61semidirect
938. #479C2×D61semidirect
946. #475C2×D61semidirect
980. #461C2×D61semidirect
1002. #446C2×D61semidirect
1018. #440C2×D61semidirect
1026. C4×SD16C2×D61semidirect
1033. C61#61894semidirect

Maximal subgroups

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

subgroupindex
#214596822
#556×D612
#214589002
#214588992
#214588972
#214588942
#214588922
#214588902
#214588832
#214588812
#214586672
#214586642
#214586592
#214586562
#214586532
#214586462
#214586452
#214568472
#214568452
#214568232
#214568042
#214567852
#214567822
#214559622
#214559552
#214559512
#214559392
#214559042
#214558972
#214549012
C61×#33762
#6189461