Finite Group Databasebeta

← #30571009

Subgroups — #30571009

Order 15616.

1656 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460322C211yesmaximal, characteristic, complemented
2#21459633C211yesmaximal, characteristic, complemented
3#21458785C211yesmaximal, characteristic, complemented
4#21458773C211yesmaximal, characteristic, complemented
5#21458769C211yesmaximal, characteristic, complemented
6#21458768C211yesmaximal, characteristic, complemented
7#21458746C211yesmaximal, characteristic, complemented
8#21458738C211yesmaximal, characteristic, complemented
9#21458731C211yesmaximal, characteristic, complemented
10#21458719C211yesmaximal, characteristic, complemented
11#21458656C211yesmaximal, characteristic, complemented
12#21458630C211yesmaximal, characteristic, complemented
13#21458606C211yesmaximal, characteristic, complemented
14#21458593C211yesmaximal, characteristic, complemented
15#21458569C211yesmaximal, characteristic, complemented
16#21458555C211yesmaximal, characteristic, complemented
17#21458541C211yesmaximal, characteristic, complemented
18#21457124C211yesmaximal, characteristic, complemented
19#21457095C211yesmaximal, characteristic, complemented
20#21457082C211yesmaximal, characteristic, complemented
21#21457069C211yesmaximal, characteristic, complemented
22#21457053C211yesmaximal, characteristic, complemented
23#21457036C211yesmaximal, characteristic, complemented
24#21456092C211yesmaximal, characteristic, complemented
25#21456078C211yesmaximal, characteristic, complemented
26#21456030C211yesmaximal, characteristic, complemented
27#21456022C211yesmaximal, characteristic
28#21455932C211yesmaximal, characteristic, complemented
29#21455925C211yesmaximal, characteristic, complemented
30#21454922C211yesmaximal, characteristic, complemented
31C61×#3376C211yesmaximal, characteristic, complemented
32#16840514—21no—
33#16840513—21no—
34#16840494C2211yescharacteristic
35#16840494C2211yescharacteristic
36Q8×Dic122C2211yescharacteristic
37#16840492C2211yescharacteristic
38#16840491C2211yescharacteristic
39#16840489C2211yescharacteristic
40#16840489C2211yescharacteristic
41#16840488C2211yescharacteristic
42#16840486C2211yescharacteristic
43#16840472C2211yescharacteristic
44#16840471C2211yescharacteristic
45#16840470—21no—
46#16840469C2211yescharacteristic
47#16840467—21no—
48#16840448—21no—
49#16840445—21no—
50D4×Dic122C2211yescharacteristic
51D4×Dic122C2211yescharacteristic
52#16840425—21no—
53#16840425—21no—
54#16840392C2211yescharacteristic
55#16840392C2211yescharacteristic
56#16840391—21no—
57#16840391—21no—
58#16840384C2211yescharacteristic
59#16840383—21no—
60#16840381C2211yescharacteristic
61#16840378—21no—
62#16840373C2211yescharacteristic
63#16840363C2211yescharacteristic
64#16840361—21no—
65#16840353—21no—
66#16840316C2211yescharacteristic
67#16840314—21no—
68C2×#14519776—21no—
69C4⋊Q8×D61C2211yescharacteristic
70#16840299C2211yescharacteristic
71#16840291C2211yescharacteristic
72#16840241C2211yescharacteristic
73#16840241C2211yescharacteristic
74C4×#11758224C2211yescharacteristic
75#16840172C2211yescharacteristic
76#16840171C2211yescharacteristic
77#16840171C2211yescharacteristic
78#16840170C2211yescharacteristic
79#16840169C2211yescharacteristic
80#16840169C2211yescharacteristic
81#16840169C2211yescharacteristic
82#16840168C2211yescharacteristic
83#16840167C2211yescharacteristic
84#16840163C2211yescharacteristic
85#16840161C2211yescharacteristic
86#16840159C2211yescharacteristic
87#16840125C2211yescharacteristic
88#16840123C2211yescharacteristic
89#16840123C2211yescharacteristic
90#16840123C2211yescharacteristic
91#16840121C2211yescharacteristic
92#16840121C2211yescharacteristic
93#16840118C2211yescharacteristic
94#16840112C2211yescharacteristic
95#16840107C2211yescharacteristic
96#16840102C2211yescharacteristic
97#16840101C2211yescharacteristic
98#16840096C2211yescharacteristic
99#16840096C2211yescharacteristic
100#16840091C2211yescharacteristic
101#16840091C2211yescharacteristic
102#16840089C2211yescharacteristic
103#16840084C2211yescharacteristic
104#16840082C2211yescharacteristic
105#16840082C2211yescharacteristic
106#16840074C2211yescharacteristic
107#16840074C2211yescharacteristic
108#16840072C2211yescharacteristic
109#16840071C2211yescharacteristic
110#16840071C2211yescharacteristic
111#16840070C2211yescharacteristic
112#16840070C2211yescharacteristic
113#16840068C2211yescharacteristic
114#16840067C2211yescharacteristic
115#16840062C2211yescharacteristic
116#16840062C2211yescharacteristic
117#16840060C2211yescharacteristic
118#16840060C2211yescharacteristic
119#16840060C2211yescharacteristic
120#16840059C2211yescharacteristic
121#16840059C2211yescharacteristic
122#16840058C2211yescharacteristic
123#16840055C2211yescharacteristic
124#16840055C2211yescharacteristic
125#16840055C2211yescharacteristic
126#16840055C2211yescharacteristic
127#16840053C2211yescharacteristic
128#16840052C2211yescharacteristic
129#16840050C2211yescharacteristic
130#16840050C2211yescharacteristic
131#16840050C2211yescharacteristic
132#16840047C2211yescharacteristic
133#16840047C2211yescharacteristic
134#16840046C2211yescharacteristic
135#16840045C2211yescharacteristic
136#16840043C2211yescharacteristic
137#16840043C2211yescharacteristic
138#16840042C2211yescharacteristic
139#16840040C2211yescharacteristic
140#16840039C2211yescharacteristic
141#16839987C2211yescharacteristic
142#16839987C2211yescharacteristic
143#16839981C2211yescharacteristic
144#16839981C2211yescharacteristic
145#16839979C2211yescharacteristic
146#16839979C2211yescharacteristic
147#16839969C2211yescharacteristic
148#16839961C2211yescharacteristic
149#16839955C2211yescharacteristic
150#16839921C2211yescharacteristic
151#16839921C2211yescharacteristic
152#16839908C2211yescharacteristic
153#16839904C2211yescharacteristic
154#16839893C2211yescharacteristic
155#16839892C2211yescharacteristic
156#16839891C2211yescharacteristic
157#16839891C2211yescharacteristic
158#16839890C2211yescharacteristic
159#16839890C2211yescharacteristic
160#16839889C2211yescharacteristic
161#16839874C2211yescharacteristic
162#16839872C2211yescharacteristic
163#16839872C2211yescharacteristic
164#16839867C2211yescharacteristic
165#16839867C2211yescharacteristic
166#16839866C2211yescharacteristic
167#16839866C2211yescharacteristic
168#16839864C2211yescharacteristic
169#16839864C2211yescharacteristic
170#16839863C2211yescharacteristic
171#16839863C2211yescharacteristic
172#16839863C2211yescharacteristic
173#16839859C2211yescharacteristic
174#16839859C2211yescharacteristic
175#16839854C2211yescharacteristic
176#16839854C2211yescharacteristic
177C4×#11758190C2211yescharacteristic
178SD16×Dic61C2211yescharacteristic
179C4×#11758200C2211yescharacteristic
180D8×Dic61C2211yescharacteristic
181C4×#11758199C2211yescharacteristic
182#16839824C2211yescharacteristic
183#16839822C2211yescharacteristic
184#16839822C2211yescharacteristic
185#16839821C2211yescharacteristic
186#16839818C2211yescharacteristic
187#16839817C2211yescharacteristic
188C61×#556C2211yescharacteristic
189C61×#554C2211yescharacteristic
190C61×#491C2211yescharacteristic
191C61×#489C2211yescharacteristic
192C61×#488C2211yescharacteristic
193C61×#479C2211yescharacteristic
194C61×#478C2211yescharacteristic
195C61×#475C2211yescharacteristic
196C61×#463C2211yescharacteristic
197C61×#463C2211yescharacteristic
198C61×#461C2211yescharacteristic
199C61×#446C2211yescharacteristic
200C61×#442C2211yescharacteristic
201C61×#440C2211yescharacteristic
202C4×SD16×C61C2211yescharacteristic
203C2×#11758224C2311yescharacteristic
204C22×Dic122—21no—
205C22×Dic122—21no—
206C2×Q8×D61—21no—
207C2×#11758202C2311yescharacteristic
208C2×#11758202C2311yescharacteristic
209C2×#11758190C2311yescharacteristic
210C2×#11758200C2311yescharacteristic
211C2×#11758199C2311yescharacteristic
212#14519777—21no—
213#14519777C2311yescharacteristic
214#14519777C2311yescharacteristic
215#14519777C2311yescharacteristic
216#14519777C2311yescharacteristic
217#14519776—21no—
218#14519776—21no—
219#14519776—21no—
220#14519776—21no—
221#14519776—21no—
222#14519776—21no—
223#14519776—21no—
224#14519776—21no—
225#14519776—21no—
226#14519776—21no—
227#14519776D411yescharacteristic
228#14519776C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519776C2311yescharacteristic
231#14519776C2311yescharacteristic
232#14519776C2311yescharacteristic
233#14519775—21no—
234#14519775—21no—
235#14519775—21no—
236#14519775D411yescharacteristic
237#14519773C2311yescharacteristic
238#14519772—21no—
239#14519772—21no—
240#14519772—21no—
241#14519772—21no—
242#14519772—21no—
243#14519771—21no—
244#14519770—21no—
245#14519770—21no—
246#14519769—21no—
247#14519769C2311yescharacteristic
248#14519769C2311yescharacteristic
249#14519768—21no—
250#14519768—21no—
251#14519768—21no—
252#14519768C2311yescharacteristic
253#14519768C2311yescharacteristic
254#14519768C2311yescharacteristic
255#14519768C2311yescharacteristic
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519767—21no—
261#14519767—21no—
262#14519767—21no—
263#14519767—21no—
264#14519767D411yescharacteristic
265#14519767D411yescharacteristic
266#14519766C2311yescharacteristic
267#14519766C2311yescharacteristic
268#14519765—21no—
269#14519763—21no—
270#14519763—21no—
271#14519763—21no—
272#14519762—21no—
273#14519762—21no—
274#14519761—21no—
275#14519761—21no—
276#14519761—21no—
277#14519760—21no—
278#14519759—21no—
279#14519759—21no—
280#14519759—21no—
281#14519759—21no—
282#14519757—21no—
283#14519757—21no—
284#14519757—21no—
285#14519757D411yescharacteristic
286#14519756—21no—
287#14519756—21no—
288#14519756—21no—
289#14519756—21no—
290#14519755—21no—
291#14519755—21no—
292#14519755—21no—
293#14519755—21no—
294#14519755—21no—
295#14519755D411yescharacteristic
296#14519755D411yescharacteristic
297#14519754—21no—
298#14519754—21no—
299#14519754—21no—
300#14519754—21no—
301#14519754—21no—
302#14519754—21no—
303#14519754—21no—
304#14519754—21no—
305#14519754—21no—
306#14519753—21no—
307#14519753D411yescharacteristic
308#14519753C2311yescharacteristic
309#14519753C2311yescharacteristic
310#14519752C2311yescharacteristic
311#14519751—21no—
312#14519750—21no—
313#14519748C2311yescharacteristic
314Q8×Dic61—21no—
315Q8×Dic61C2311yescharacteristic
316Q8×Dic61C2311yescharacteristic
317Q8×Dic61C2311yescharacteristic
318Q8×Dic61C2311yescharacteristic
319C4×Dic122—21no—
320C4×Dic122—21no—
321C4×Dic122C2311yescharacteristic
322C4×Dic122C2311yescharacteristic
323C4×Dic122C2311yescharacteristic
324C4×Dic122C2311yescharacteristic
325C4×Dic122C2311yescharacteristic
326C4×Dic122C2311yescharacteristic
327#14519742—21no—
328#14519742—21no—
329#14519742—21no—
330#14519742C2311yescharacteristic
331#14519742C2311yescharacteristic
332#14519742C2311yescharacteristic
333C4×D244—21no—
334C4×D244C2311yescharacteristic
335C4×D244C2311yescharacteristic
336C4×D244C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340D4×Dic61C2311yescharacteristic
341D4×Dic61C2311yescharacteristic
342C4×C22⋊D61—21no—
343C4×C22⋊D61—21no—
344C4×C22⋊D61—21no—
345#14519737—21no—
346#14519737—21no—
347#14519737—21no—
348#14519737—21no—
349#14519737—21no—
350#14519737—21no—
351#14519735—21no—
352#14519735C2311yescharacteristic
353#14519734—21no—
354#14519734C2311yescharacteristic
355#14519734C2311yescharacteristic
356#14519733—21no—
357#14519733—21no—
358#14519733—21no—
359#14519733—21no—
360C2×C4⋊Dic61—21no—
361C2×#11758196—21no—
362C2×#11758196—21no—
363C2×#11758196—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61C2311yescharacteristic
367C4⋊C4×D61C2311yescharacteristic
368C2×C4×Dic61—21no—
369C42×D61C2311yescharacteristic
370#14519711C2311yescharacteristic
371#14519711C2311yescharacteristic
372#14519711C2311yescharacteristic
373#14519711C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519710C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519709C2311yescharacteristic
382#14519709C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519708C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391C4⋊#92418C2311yescharacteristic
392C4⋊#92418C2311yescharacteristic
393C4⋊#92418C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519698C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
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
478C2×Q8×C61—21no—
479C2×Q8×C61C2×D411yescharacteristic
480C2×Q8×C61C2411yescharacteristic
481C2×Q8×C61C2411yescharacteristic
482C2×D4×C61C2411yescharacteristic
483C2×D4×C61C2411yescharacteristic
484C22×C4×C61—21no—
485C22×C4×C61—21no—
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C2×C22⋊D61—21no—
489C2×C22⋊D61—21no—
490C2×C22⋊D61—21no—
491C2×C22⋊D61—21no—
492C22×Dic61—21no—
493C22×Dic61—21no—
494C22×Dic61—21no—
495C22×Dic61—21no—
496C22×Dic61—21no—
497C22×Dic61—21no—
498Q8×D61—82no—
499#11758224—22no—
500#11758224—22no—
501C2×D244—21no—
502C2×D244C2411yescharacteristic
503C2×C4×D61—21no—
504C2×C4×D61—21no—
505C2×C4×D61—21no—
506C2×C4×D61—21no—
507C2×C4×D61—21no—
508C2×C4×D61C2×D411yescharacteristic
509C2×C4×D61C2×D411yescharacteristic
510C2×C4×D61C2411yescharacteristic
511C2×Dic122—21no—
512C2×Dic122—21no—
513C2×Dic122—21no—
514C2×Dic122—21no—
515C2×Dic122—21no—
516C2×Dic122—21no—
517C2×Dic122—21no—
518C2×Dic122—21no—
519C2×Dic122—21no—
520C2×Dic122—82no—
521C2×Dic122—82no—
522C2×Dic122C2×D411yescharacteristic
523C2×Dic122C2×D411yescharacteristic
524C2×Dic122C2×D411yescharacteristic
525C2×Dic122C2411yescharacteristic
526SD16×C61—22no—
527SD16×C61—22no—
528D8×C61—22no—
529C2×C8×C61C2411yescharacteristic
530C2×C8×C61C2411yescharacteristic
531C2×C8×C61C2411yescharacteristic
532C2×C8×C61C2411yescharacteristic
533C4⋊C4×C61—21no—
534C4⋊C4×C61—21no—
535C4⋊C4×C61—21no—
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×C61C2×D411yescharacteristic
543C4⋊C4×C61C2×D411yescharacteristic
544C4⋊C4×C61C2×D411yescharacteristic
545C4⋊C4×C61C2411yescharacteristic
546C4⋊C4×C61C2411yescharacteristic
547C4⋊C4×C61C2411yescharacteristic
548C4⋊C4×C61C2411yescharacteristic
549C22⋊C4×C61—21no—
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—
557C42×C61—21no—
558C42×C61—21no—
559C42×C61C2411yescharacteristic
560C42×C61C2411yescharacteristic
561C42×C61C2411yescharacteristic
562C22⋊Dic61—21no—
563C22⋊Dic61—21no—
564C22⋊Dic61—21no—
565C22⋊Dic61—21no—
566C22⋊Dic61—21no—
567C22⋊Dic61—21no—
568#11758202—22no—
569#11758202—22no—
570#11758200—22no—
571#11758199—22no—
572#11758198—21no—
573#11758198—21no—
574#11758198—21no—
575#11758198—21no—
576#11758198—21no—
577#11758198—21no—
578#11758198—21no—
579#11758198—21no—
580#11758198—21no—
581#11758198—21no—
582#11758198—21no—
583#11758198C2×D411yescharacteristic
584#11758198C2×D411yescharacteristic
585#11758198C2×D411yescharacteristic
586#11758198C2×D411yescharacteristic
587C4⋊Dic61—21no—
588C4⋊Dic61—21no—
589C4⋊Dic61—21no—
590C4⋊Dic61—21no—
591C4⋊Dic61—21no—
592C4⋊Dic61—21no—
593C4⋊Dic61—21no—
594C4⋊Dic61—21no—
595C4⋊Dic61—21no—
596C4⋊Dic61—21no—
597C4⋊Dic61—21no—
598C4⋊Dic61—21no—
599C4⋊Dic61C2×D411yescharacteristic
600C4⋊Dic61C2×D411yescharacteristic
601C4⋊Dic61C2×D411yescharacteristic
602C4⋊Dic61C2411yescharacteristic
603C4⋊Dic61C2411yescharacteristic
604C4⋊Dic61C2411yescharacteristic
605C4⋊Dic61C2411yescharacteristic
606C4⋊Dic61C2411yescharacteristic
607C4⋊Dic61C2411yescharacteristic
608#11758196—21no—
609#11758196—21no—
610#11758196—21no—
611#11758196—21no—
612#11758196—21no—
613#11758196—21no—
614#11758196—21no—
615#11758196—21no—
616#11758196—21no—
617#11758196—21no—
618#11758196—21no—
619#11758196—21no—
620#11758196—21no—
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196C2×D411yescharacteristic
632#11758196C2×D411yescharacteristic
633#11758196C2×D411yescharacteristic
634#11758196C2×D411yescharacteristic
635#11758196C2×D411yescharacteristic
636#11758196C2×D411yescharacteristic
637#11758196C2×D411yescharacteristic
638#11758196C2×D411yescharacteristic
639#11758196C2×D411yescharacteristic
640#11758196C2×D411yescharacteristic
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×Dic61C2411yescharacteristic
655C4×Dic61C2411yescharacteristic
656C4×Dic61C2411yescharacteristic
657C2×#92418C2411yescharacteristic
658C2×#92418C2411yescharacteristic
659C2×#92418C2411yescharacteristic
660C2×#92418C2411yescharacteristic
661#11758190—22no—
662C23×C61—21no—
663C23×C61—21no—
664C22×D61—21no—
665C22×D61C22×D411yescharacteristic
666Q8×C61—21no—
667Q8×C61—21no—
668Q8×C61—21no—
669Q8×C61—21no—
670Q8×C61—41no—
671Q8×C61—81no—
672D4×C61—21no—
673D4×C61—21no—
674D4×C61—21no—
675D4×C612−1+412yes—
676C2×C4×C61—21no—
677C2×C4×C61—21no—
678C2×C4×C61—21no—
679C2×C4×C61—21no—
680C2×C4×C61—21no—
681C2×C4×C61—21no—
682C2×C4×C61—42no—
683C2×C4×C61—81no—
684C2×C4×C61—81no—
685C2×C4×C61—81no—
686C2×C4×C61C22×D411yescharacteristic
687C2×C4×C61C22×D411yescharacteristic
688C2×C4×C61C22×D411yescharacteristic
689C2×C4×C61C22×D411yescharacteristic
690C2×C4×C61C22×D411yescharacteristic
691C2×C4×C61C22×D411yescharacteristic
692C2×C4×C61C2511yescharacteristic
693C22⋊D61—24no—
694C22⋊D61—81no—
695C22⋊D61—81no—
696C22⋊D61—81no—
697C2×Dic61—24no—
698C2×Dic61—21no—
699C2×Dic61—21no—
700C2×Dic61—21no—
701C2×Dic61—21no—
702C2×Dic61—21no—
703C2×Dic61—21no—
704C2×Dic61—21no—
705C2×Dic61—42no—
706C2×Dic61—81no—
707C2×Dic61—81no—
708C2×Dic61—81no—
709C2×Dic61—81no—
710C2×Dic61C22×D411yescharacteristic
711C2×Dic61C22×D411yescharacteristic
712C2×Dic61C22×D411yescharacteristic
713C2×Dic61C22×D411yescharacteristic
714C2×Dic61C22×D411yescharacteristic
715C2×Dic61C22×D411yescharacteristic
716C2×Dic61C22×D411yescharacteristic
717D244—21no—
718D244—21no—
719D244—81no—
720C4×D61—21no—
721C4×D61—21no—
722C4×D61—41no—
723C4×D61—41no—
724C4×D61—81no—
725C4×D61—81no—
726C4×D61—81no—
727C4×D61—81no—
728C4×D61—81no—
729Dic122—21no—
730Dic122—41no—
731Dic122—41no—
732Dic122—41no—
733Dic122—42no—
734Dic122—42no—
735Dic122—81no—
736Dic122—81no—
737Dic122—81no—
738Dic122—81no—
739Dic122—81no—
740Dic122—81no—
741Dic122—81no—
742Dic1222−1+412yes—
743C8×C61—21no—
744C8×C61—21no—
745C8×C61—21no—
746C8×C61—21no—
747#92418—21no—
748#92418—21no—
749#92418—21no—
750#92418—21no—
751#61879—611nomaximal, Sylow
752C22×C61—22no—
753C22×C61—41no—
754C22×C61—41no—
755C22×C61—41no—
756C22×C61—41no—
757C22×C61—41no—
758C22×C61C23×D411yescharacteristic
759C2×D61—21no—
760C2×D61—21no—
761C2×D61—21no—
762C2×D61—41no—
763C2×D61—41no—
764C2×D61—41no—
765C4×C61—21no—
766C4×C61—21no—
767C4×C61—21no—
768C4×C61—21no—
769C4×C61—21no—
770C4×C61—21no—
771C4×C61—41no—
772C4×C61—41no—
773C4×C61—41no—
774C4×C61—41no—
775C4×C61—41no—
776C4×C61—41no—
777C4×C61C2×2−1+411yescharacteristic
778C4×C61C2×2−1+411yescharacteristic
779Dic61—21no—
780Dic61—21no—
781Dic61—21no—
782Dic61—21no—
783Dic61—21no—
784Dic61—21no—
785Dic61—22no—
786Dic61—21no—
787Dic61—41no—
788Dic61—41no—
789Dic61—41no—
790Dic61—41no—
791Dic61—41no—
792Dic61—41no—
793#3557—611no—
794#3503—611no—
795#3390—611no—
796#3389—611no—
797#3388—611no—
798#3388—611no—
799#3387—611no—
800#3386—611no—
801#3385—611no—
802#3384—611no—
803#3377—611no—
804#3376D6111yescharacteristic, complemented
805#3375—611no—
806#3373—611no—
807#3371—611no—
808#3370—611no—
809#3369—611no—
810#3367—611no—
811#3244—611no—
812#3243—611no—
813#3242—611no—
814#3241—611no—
815#3239—611no—
816#3238—611no—
817#3125—611no—
818#3124—611no—
819#3120—611no—
820#3119—611no—
821#3111—611no—
822#3111—611no—
823#2987—611no—
824C2×C61—42no—
825C2×C61—81no—
826C2×C61#348611yescharacteristic
827C2×C61#358511yescharacteristic
828C2×C61#358611yescharacteristic
829D61—41no—
830D61—81no—
831#563—1221no—
832#563—1221no—
833#559—611no—
834#559—611no—
835Q82—611no—
836Q82—611no—
837#557—611no—
838#557—611no—
839#557—611no—
840#557—611no—
841#556—611no—
842#556C2×D6111yescharacteristic
843#554—611no—
844#554—611no—
845#554—611no—
846#554—1221no—
847#554—1221no—
848#554C2×D6111yescharacteristic
849#552—1221no—
850#552—1221no—
851D4×Q8—611no—
852D4×Q8—611no—
853D4×Q8—1221no—
854D4×Q8—1221no—
855#544—611no—
856#544—611no—
857#544—1221no—
858#544—1221no—
859#542—611no—
860#542—611no—
861#542—1221no—
862#542—1221no—
863#541—611no—
864#540—611no—
865#539—1221no—
866#539—1221no—
867#533—611no—
868#533—1221no—
869C2×C4⋊Q8—611no—
870C2×C4⋊Q8—1221no—
871#529—611no—
872#529—611no—
873#520—611no—
874#520—611no—
875C4×#41—611no—
876#501—611no—
877#501—611no—
878#501—611no—
879#501—611no—
880#501—611no—
881#501—611no—
882#501—611no—
883#501—611no—
884#500—611no—
885#499—611no—
886#499—611no—
887#498—611no—
888#491C2×D6111yescharacteristic
889#490—611no—
890#489—611no—
891#489—611no—
892#489—611no—
893#489—611no—
894#489—611no—
895#489C2×D6111yescharacteristic
896#488—611no—
897#488C2×D6111yescharacteristic
898#487—611no—
899#486—611no—
900#485—611no—
901#485—611no—
902#484—611no—
903#484—611no—
904#483—611no—
905#483—611no—
906#482—611no—
907#482—611no—
908#481—611no—
909#481—611no—
910#480—611no—
911#480—611no—
912#479—611no—
913#479—611no—
914#479—611no—
915#479—611no—
916#479—611no—
917#479—611no—
918#479—611no—
919#479C2×D6111yescharacteristic
920#478—611no—
921#478—611no—
922#478—611no—
923#478—611no—
924#478—611no—
925#478—611no—
926#478—611no—
927#478C2×D6111yescharacteristic
928#477—611no—
929#477—611no—
930#477—611no—
931#477—611no—
932#477—611no—
933#476—611no—
934#476—611no—
935#476—611no—
936#476—611no—
937#476—611no—
938#475—611no—
939#475—611no—
940#475—611no—
941#475—611no—
942#475C2×D6111yescharacteristic
943#474—611no—
944#474—611no—
945#474—611no—
946#474—611no—
947#474—611no—
948#464—611no—
949#464—611no—
950#464—611no—
951#464—611no—
952#463—611no—
953#463—611no—
954#463C2×D6111yescharacteristic
955#463C2×D6111yescharacteristic
956#462—611no—
957#461C2×D6111yescharacteristic
958#460—611no—
959#459—611no—
960#452—611no—
961#452—611no—
962#449—611no—
963#449—611no—
964#446—611no—
965#446—611no—
966#446—611no—
967#446—611no—
968#446—611no—
969#446—611no—
970#446—611no—
971#446C2×D6111yescharacteristic
972#442—611no—
973#442—611no—
974#442—611no—
975#442C2×D6111yescharacteristic
976#441—611no—
977#441—611no—
978#441—611no—
979#441—611no—
980#440—611no—
981#440—611no—
982#440—611no—
983#440—611no—
984#440—611no—
985#440—611no—
986#440—611no—
987#440C2×D6111yescharacteristic
988C4×Q16—611no—
989C4×Q16—611no—
990C4×SD16—611no—
991C4×SD16—611no—
992C4×SD16—611no—
993C4×SD16C2×D6111yescharacteristic
994C4×D8—611no—
995C4×D8—611no—
996#433—611no—
997#433—611no—
998#433—611no—
999#433—611no—
1000#432—611no—
1001#432—611no—
1002C61#6187911yescharacteristic, complemented, Sylow
1003C2×#41—611no—
1004C22×Q8—1221no—
1005C22×Q8—1221no—
1006C22×Q8—1221no—
1007C2×Q16—611no—
1008C2×Q16—611no—
1009C2×SD16—611no—
1010C2×SD16—611no—
1011C2×SD16C22×D6111yescharacteristic
1012C2×SD16C22×D6111yescharacteristic
1013C2×D8—611no—
1014C2×D8C22×D6111yescharacteristic
1015C4⋊Q8—611no—
1016C4⋊Q8—611no—
1017C4⋊Q8—611no—
1018C4⋊Q8—611no—
1019C4⋊Q8—611no—
1020C4⋊Q8—611no—
1021C4⋊Q8—611no—
1022C4⋊Q8—611no—
1023C4⋊Q8—611no—
1024C4⋊Q8—611no—
1025C4⋊Q8—611no—
1026C4⋊Q8—1221no—
1027C4⋊Q8—1221no—
1028C4⋊Q8—1221no—
1029C4⋊Q8—1221no—
1030C4⋊Q8—1221no—
1031C4⋊Q8—1221no—
1032C4⋊Q8—1221no—
1033C4⋊Q8—1221no—
1034C4⋊Q8—1221no—
1035C4⋊Q8—1221no—
1036C4⋊Q8—1221no—
1037C4⋊Q8—1221no—
1038C4⋊Q8—1221no—
1039C4⋊Q8—1221no—
1040C4⋊Q8C22×D6111yescharacteristic
1041C4⋊Q8C22×D6111yescharacteristic
1042#127—611no—
1043#126—21no—
1044#126—21no—
1045#126—1221no—
1046#126—1221no—
1047#126—1221no—
1048#126—1221no—
1049#126—1221no—
1050#126—1221no—
1051#126—1221no—
1052#126—1221no—
1053#125—611no—
1054#125—611no—
1055#125—611no—
1056#125—611no—
1057#125—611no—
1058#125—611no—
1059#125—611no—
1060#125—611no—
1061#125—1221no—
1062#125—1221no—
1063#125—1221no—
1064#125—1221no—
1065#125—1221no—
1066#125—1221no—
1067#125—1221no—
1068#125—1221no—
1069#125—1221no—
1070#125—1221no—
1071#125—1221no—
1072#125—1221no—
1073#125C22×D6111yescharacteristic
1074#125C22×D6111yescharacteristic
1075#124—611no—
1076#124—611no—
1077#124—1221no—
1078#124—1221no—
1079#124—1221no—
1080#124—1221no—
1081#124C22×D6111yescharacteristic
1082#124C22×D6111yescharacteristic
1083#123—1221no—
1084#123—1221no—
1085#123—1221no—
1086#123—1221no—
1087#123—1221no—
1088#123—1221no—
1089#123—1221no—
1090#123—1221no—
1091#123—1221no—
1092#123—1221no—
1093C22⋊Q8—21no—
1094C22⋊Q8—21no—
1095C22⋊Q8—21no—
1096C22⋊Q8—21no—
1097C22⋊Q8—611no—
1098C22⋊Q8—611no—
1099C22⋊Q8—611no—
1100C22⋊Q8—611no—
1101C22⋊Q8—611no—
1102C22⋊Q8—611no—
1103C22⋊Q8—1221no—
1104C22⋊Q8—1221no—
1105C22⋊Q8—1221no—
1106C22⋊Q8—1221no—
1107C22⋊Q8—1221no—
1108C22⋊Q8—1221no—
1109C22⋊Q8—1221no—
1110C22⋊Q8—1221no—
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⋊Q8—1221no—
1121C22⋊Q8—1221no—
1122C22⋊Q8—1221no—
1123C22⋊Q8—1221no—
1124C22⋊Q8—1221no—
1125#121—611no—
1126#121—611no—
1127#121—1221no—
1128#121—1221no—
1129C4×Q8—611no—
1130C4×Q8—611no—
1131C4×Q8—611no—
1132C4×Q8—611no—
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—1221no—
1143C4×Q8—1221no—
1144C4×Q8—1221no—
1145C4×Q8—1221no—
1146C4×Q8—1221no—
1147C4×Q8—1221no—
1148C4×Q8C22×D6111yescharacteristic
1149C4×Q8C22×D6111yescharacteristic
1150C4×Q8C22×D6111yescharacteristic
1151C4×D4—611no—
1152C4×D4—611no—
1153C4×D4—611no—
1154C4×D4—611no—
1155C4×D4—611no—
1156C4×D4—611no—
1157C4×D4—611no—
1158C4×D4—611no—
1159C4×D4—1221no—
1160C4×D4—1221no—
1161C4×D4—1221no—
1162C4×D4—1221no—
1163C4×D4—1221no—
1164C4×D4—1221no—
1165C4×D4—1221no—
1166C4×D4—1221no—
1167C4×D4—1221no—
1168C4×D4—1221no—
1169C4×D4C22×D6111yescharacteristic
1170C4×D4C22×D6111yescharacteristic
1171C4×D4C22×D6111yescharacteristic
1172C4×D4C22×D6111yescharacteristic
1173#117—21no—
1174#117—611no—
1175#117—611no—
1176#117—611no—
1177#117—1221no—
1178#117—1221no—
1179#117—1221no—
1180#117—1221no—
1181#117—1221no—
1182#117—1221no—
1183C2×C4⋊C4—21no—
1184C2×C4⋊C4—611no—
1185C2×C4⋊C4—611no—
1186C2×C4⋊C4—1221no—
1187C2×C4⋊C4—1221no—
1188C2×C4⋊C4—1221no—
1189C2×C4⋊C4—1221no—
1190C2×C4⋊C4—1221no—
1191C2×C4⋊C4—1221no—
1192C2×C42—611no—
1193C2×C42—1221no—
1194#107—611no—
1195#107—611no—
1196#107—611no—
1197#107—611no—
1198#107—611no—
1199#107—611no—
1200#107—611no—
1201#107—611no—
1202#107—611no—
1203#107—611no—
1204#107—611no—
1205#107C22×D6111yescharacteristic
1206#106—611no—
1207#106—611no—
1208#106—611no—
1209#106—611no—
1210#106—611no—
1211#106—611no—
1212#106—611no—
1213#106—611no—
1214#106—611no—
1215#106—611no—
1216#106C22×D6111yescharacteristic
1217#106C22×D6111yescharacteristic
1218C4⋊C8—611no—
1219C4⋊C8—611no—
1220C4⋊C8—611no—
1221C4⋊C8—611no—
1222C4⋊C8—611no—
1223C4⋊C8—611no—
1224C4⋊C8—611no—
1225C4⋊C8—611no—
1226C4⋊C8—611no—
1227C4⋊C8C22×D6111yescharacteristic
1228C4⋊C8C22×D6111yescharacteristic
1229C4⋊C8C22×D6111yescharacteristic
1230#103—611no—
1231#103—611no—
1232#103—611no—
1233#103—611no—
1234#103—611no—
1235#103—611no—
1236#103—611no—
1237#103—611no—
1238#103—611no—
1239#103—611no—
1240#103C22×D6111yescharacteristic
1241#103C22×D6111yescharacteristic
1242#103C22×D6111yescharacteristic
1243#103C22×D6111yescharacteristic
1244#103C22×D6111yescharacteristic
1245#103C22×D6111yescharacteristic
1246#102—611no—
1247#102—611no—
1248#102—611no—
1249#102—611no—
1250#102—611no—
1251#102—611no—
1252#102—611no—
1253#102—611no—
1254#102—611no—
1255#102—611no—
1256#102—611no—
1257#102—611no—
1258#102C22×D6111yescharacteristic
1259#102C22×D6111yescharacteristic
1260#102C22×D6111yescharacteristic
1261#102C22×D6111yescharacteristic
1262C22⋊C8—611no—
1263C22⋊C8—611no—
1264C22⋊C8—611no—
1265C22⋊C8—611no—
1266#97—611no—
1267#97—611no—
1268#97—611no—
1269#97—611no—
1270#97—611no—
1271#97—611no—
1272#97C22×D6111yescharacteristic
1273#97C22×D6111yescharacteristic
1274C4×C8—611no—
1275C4×C8—611no—
1276C4×C8—611no—
1277C4×C8C22×D6111yescharacteristic
1278#41—1222no—
1279#41—1222no—
1280C2×Q8—21no—
1281C2×Q8—611no—
1282C2×Q8—611no—
1283C2×Q8—611no—
1284C2×Q8—611no—
1285C2×Q8—1221no—
1286C2×Q8—1221no—
1287C2×Q8—1221no—
1288C2×Q8—1221no—
1289C2×Q8—1221no—
1290C2×Q8—1221no—
1291C2×Q8—1221no—
1292C2×Q8—1221no—
1293C2×Q8—1221no—
1294C2×Q8—4882no—
1295C2×Q8—4882no—
1296C2×Q8—4882no—
1297C2×Q8D4×D6111yescharacteristic
1298C2×Q8C23×D6111yescharacteristic
1299C2×Q8C23×D6111yescharacteristic
1300C2×D4—611no—
1301C2×D4—1221no—
1302C2×D4—1221no—
1303C2×D4—1221no—
1304C2×D4—1221no—
1305C2×D4—1221no—
1306C2×D4C23×D6111yescharacteristic
1307C2×D4C23×D6111yescharacteristic
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—611no—
1313C22×C4—611no—
1314C22×C4—611no—
1315C22×C4—1221no—
1316C22×C4—1221no—
1317C22×C4—1221no—
1318C22×C4—1221no—
1319C22×C4—1221no—
1320C22×C4—1221no—
1321C22×C4—1221no—
1322C22×C4—1221no—
1323C22×C4—1221no—
1324C22×C4—1221no—
1325C22×C4—1221no—
1326Q16—1222no—
1327Q16—1222no—
1328SD16—22no—
1329SD16—22no—
1330SD16—1222no—
1331SD16—1222no—
1332D8—22no—
1333D8—1222no—
1334C2×C8—611no—
1335C2×C8—611no—
1336C2×C8—611no—
1337C2×C8—611no—
1338C2×C8C23×D6111yescharacteristic
1339C2×C8C23×D6111yescharacteristic
1340C2×C8C23×D6111yescharacteristic
1341C2×C8C23×D6111yescharacteristic
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—611no—
1352C4⋊C4—611no—
1353C4⋊C4—611no—
1354C4⋊C4—611no—
1355C4⋊C4—611no—
1356C4⋊C4—611no—
1357C4⋊C4—611no—
1358C4⋊C4—611no—
1359C4⋊C4—611no—
1360C4⋊C4—611no—
1361C4⋊C4—611no—
1362C4⋊C4—611no—
1363C4⋊C4—611no—
1364C4⋊C4—611no—
1365C4⋊C4—611no—
1366C4⋊C4—611no—
1367C4⋊C4—611no—
1368C4⋊C4—611no—
1369C4⋊C4—611no—
1370C4⋊C4—1221no—
1371C4⋊C4—1221no—
1372C4⋊C4—1221no—
1373C4⋊C4—1221no—
1374C4⋊C4—1221no—
1375C4⋊C4—1221no—
1376C4⋊C4—1221no—
1377C4⋊C4—1221no—
1378C4⋊C4—1221no—
1379C4⋊C4—1221no—
1380C4⋊C4—1221no—
1381C4⋊C4—1221no—
1382C4⋊C4—1221no—
1383C4⋊C4—1221no—
1384C4⋊C4—1221no—
1385C4⋊C4—1221no—
1386C4⋊C4—1221no—
1387C4⋊C4—1221no—
1388C4⋊C4—1221no—
1389C4⋊C4—1221no—
1390C4⋊C4—1221no—
1391C4⋊C4—1221no—
1392C4⋊C4—1221no—
1393C4⋊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⋊C4D4×D6111yescharacteristic
1406C4⋊C4D4×D6111yescharacteristic
1407C4⋊C4D4×D6111yescharacteristic
1408C4⋊C4C23×D6111yescharacteristic
1409C4⋊C4C23×D6111yescharacteristic
1410C4⋊C4C23×D6111yescharacteristic
1411C4⋊C4C23×D6111yescharacteristic
1412C22⋊C4—21no—
1413C22⋊C4—21no—
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—21no—
1419C22⋊C4—21no—
1420C22⋊C4—611no—
1421C22⋊C4—611no—
1422C22⋊C4—611no—
1423C22⋊C4—611no—
1424C22⋊C4—1221no—
1425C22⋊C4—1221no—
1426C22⋊C4—1221no—
1427C22⋊C4—1221no—
1428C22⋊C4—1221no—
1429C22⋊C4—1221no—
1430C22⋊C4—1221no—
1431C22⋊C4—1221no—
1432C22⋊C4—1221no—
1433C22⋊C4—1221no—
1434C22⋊C4—1221no—
1435C22⋊C4—1221no—
1436C22⋊C4—1221no—
1437C22⋊C4—1221no—
1438C22⋊C4—1221no—
1439C22⋊C4—1221no—
1440C22⋊C4—1221no—
1441C42—21no—
1442C42—21no—
1443C42—611no—
1444C42—611no—
1445C42—611no—
1446C42—611no—
1447C42—611no—
1448C42—1221no—
1449C42—1221no—
1450C42—1221no—
1451C42—1221no—
1452C42—1221no—
1453C42—1221no—
1454C42—1221no—
1455C42—1221no—
1456C42—1221no—
1457C42—1221no—
1458C42—1221no—
1459C42C23×D6111yescharacteristic
1460C42C23×D6111yescharacteristic
1461C42C23×D6111yescharacteristic
1462C23—21no—
1463C23—21no—
1464C23—611no—
1465C23—1221no—
1466Q8—21no—
1467Q8—21no—
1468Q8—21no—
1469Q8—21no—
1470Q8—41no—
1471Q8—81no—
1472Q8—612no—
1473Q8—1221no—
1474Q8—4881no—
1475Q8—4881no—
1476Q8—4881no—
1477Q8—4881no—
1478Q8—4881no—
1479Q8—4881no—
1480Q8—4881no—
1481Q8—2441no—
1482Q8—2441no—
1483Q8—2441no—
1484Q8—2442no—
1485Q8—2442no—
1486D4—21no—
1487D4—21no—
1488D4—21no—
1489D4—1224no—
1490D4—1221no—
1491D4—1221no—
1492D4—4881no—
1493D4—4881no—
1494D4—4881no—
1495D4—4881no—
1496D4#1451982412yes—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—42no—
1504C2×C4—81no—
1505C2×C4—81no—
1506C2×C4—81no—
1507C2×C4—611no—
1508C2×C4—611no—
1509C2×C4—611no—
1510C2×C4—611no—
1511C2×C4—611no—
1512C2×C4—611no—
1513C2×C4—611no—
1514C2×C4—1224no—
1515C2×C4—1221no—
1516C2×C4—1221no—
1517C2×C4—1221no—
1518C2×C4—1221no—
1519C2×C4—1221no—
1520C2×C4—1221no—
1521C2×C4—1221no—
1522C2×C4—1221no—
1523C2×C4—1221no—
1524C2×C4—4881no—
1525C2×C4—4881no—
1526C2×C4—4881no—
1527C2×C4—4881no—
1528C2×C4—4881no—
1529C2×C4—4881no—
1530C2×C4—4881no—
1531C2×C4—4881no—
1532C2×C4—4881no—
1533C2×C4—2441no—
1534C2×C4—2441no—
1535C2×C4—2442no—
1536C2×C4C2×D4×D6111yescharacteristic
1537C2×C4C2×D4×D6111yescharacteristic
1538C2×C4C2×D4×D6111yescharacteristic
1539C2×C4C2×D4×D6111yescharacteristic
1540C2×C4C2×D4×D6111yescharacteristic
1541C2×C4C2×D4×D6111yescharacteristic
1542C2×C4C24×D6111yescharacteristic
1543C8—21no—
1544C8—21no—
1545C8—21no—
1546C8—21no—
1547C8—1221no—
1548C8—1221no—
1549C8—1221no—
1550C8—1221no—
1551C22—22no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—1221no—
1558C22—1221no—
1559C22—1221no—
1560C22—2441no—
1561C22—2441no—
1562C22—2441no—
1563C22C22×D4×D6111yescharacteristic
1564C4—21no—
1565C4—21no—
1566C4—21no—
1567C4—21no—
1568C4—21no—
1569C4—21no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—1221no—
1577C4—1222no—
1578C4—1221no—
1579C4—1221no—
1580C4—1221no—
1581C4—1221no—
1582C4—1221no—
1583C4—1221no—
1584C4—2441no—
1585C4—2441no—
1586C4—2441no—
1587C4—2441no—
1588C4—2441no—
1589C4—2441no—
1590C42−1+4×D6111yescharacteristic
1591C4C2×#1451982411yescharacteristic
1592C2—42no—
1593C2—81no—
1594C2—4881no—
1595C2—2441no—
1596C2#2145946511yescharacteristic
1597C2#2146059711yescharacteristic
1598C2#2146060311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3376C2
socleC22×C61C23×D4
prime radical#21456022C2
hypercenter#3376D61
hypocenterC61#61879
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. #21460322C2semidirect
2. #21459633C2semidirect
3. #21458785C2semidirect
4. #21458773C2semidirect
5. #21458769C2semidirect
6. #21458768C2semidirect
7. #21458746C2semidirect
8. #21458738C2semidirect
9. #21458731C2semidirect
10. #21458719C2semidirect
11. #21458656C2semidirect
12. #21458630C2semidirect
13. #21458606C2semidirect
14. #21458593C2semidirect
15. #21458569C2semidirect
16. #21458555C2semidirect
17. #21458541C2semidirect
18. #21457124C2semidirect
19. #21457095C2semidirect
20. #21457082C2semidirect
21. #21457069C2semidirect
22. #21457053C2semidirect
23. #21457036C2semidirect
24. #21456092C2semidirect
25. #21456078C2semidirect
26. #21456030C2semidirect
28. #21455932C2semidirect
29. #21455925C2semidirect
30. #21454922C2semidirect
31. C61×#3376C2semidirect
804. #3376D61semidirect
1002. C61#61879semidirect

Maximal subgroups

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

subgroupindex
#214603222
#214596332
#214587852
#214587732
#214587692
#214587682
#214587462
#214587382
#214587312
#214587192
#214586562
#214586302
#214586062
#214585932
#214585692
#214585552
#214585412
#214571242
#214570952
#214570822
#214570692
#214570532
#214570362
#214560922
#214560782
#214560302
#214560222
#214559322
#214559252
#214549222
C61×#33762
#6187961