Finite Group Databasebeta

← #30570980

Subgroups — #30570980

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#21460225C211yesmaximal, characteristic, complemented
2#21459639C211yesmaximal, characteristic, complemented
3#21458748C211yesmaximal, characteristic, complemented
4#21458747C211yesmaximal, characteristic, complemented
5#21458745C211yesmaximal, characteristic, complemented
6#21458737C211yesmaximal, characteristic, complemented
7#21458724C211yesmaximal, characteristic, complemented
8#21458722C211yesmaximal, characteristic, complemented
9#21458713C211yesmaximal, characteristic, complemented
10#21458668C211yesmaximal, characteristic, complemented
11#21458659C211yesmaximal, characteristic, complemented
12#21458651C211yesmaximal, characteristic, complemented
13#21458642C211yesmaximal, characteristic, complemented
14#21458590C211yesmaximal, characteristic, complemented
15#21458589C211yesmaximal, characteristic, complemented
16#21458573C211yesmaximal, characteristic, complemented
17#21458572C211yesmaximal, characteristic, complemented
18#21457124C211yesmaximal, characteristic, complemented
19#21457118C211yesmaximal, characteristic, complemented
20#21457107C211yesmaximal, characteristic, complemented
21#21457105C211yesmaximal, characteristic, complemented
22#21457023C211yesmaximal, characteristic, complemented
23#21457010C211yesmaximal, characteristic, complemented
24#21456101C211yesmaximal, characteristic, complemented
25#21456092C211yesmaximal, characteristic, complemented
26#21456086C211yesmaximal, characteristic, complemented
27#21456085C211yesmaximal, characteristic, complemented
28#21455977C211yesmaximal, characteristic, complemented
29#21455972C211yesmaximal, characteristic
30#21454922C211yesmaximal, characteristic, complemented
31C61×#3385C211yesmaximal, characteristic, complemented
32#16840511—21no—
33#16840511—21no—
34#16840497C2211yescharacteristic
35#16840497C2211yescharacteristic
36#16840492C2211yescharacteristic
37#16840490C2211yescharacteristic
38#16840489C2211yescharacteristic
39#16840489C2211yescharacteristic
40#16840487C2211yescharacteristic
41#16840484—21no—
42#16840484C2211yescharacteristic
43#16840484C2211yescharacteristic
44#16840471C2211yescharacteristic
45#16840471C2211yescharacteristic
46#16840470—21no—
47#16840469C2211yescharacteristic
48#16840467—21no—
49#16840466—21no—
50#16840466—21no—
51#16840427—21no—
52#16840427C2211yescharacteristic
53#16840427C2211yescharacteristic
54#16840392C2211yescharacteristic
55#16840391—21no—
56#16840391—21no—
57#16840389C2211yescharacteristic
58#16840386—21no—
59#16840386C2211yescharacteristic
60#16840386C2211yescharacteristic
61#16840384—21no—
62#16840384C2211yescharacteristic
63#16840384C2211yescharacteristic
64#16840337—21no—
65#16840337—21no—
66#16840316C2211yescharacteristic
67#16840316C2211yescharacteristic
68#16840314—21no—
69#16840313C2211yescharacteristic
70C2×#14519767—21no—
71#125×D61C2211yescharacteristic
72#16840241C2211yescharacteristic
73#16840241C2211yescharacteristic
74C4×#11758224C2211yescharacteristic
75#16840170C2211yescharacteristic
76#16840170C2211yescharacteristic
77#16840170C2211yescharacteristic
78#16840169C2211yescharacteristic
79#16840168C2211yescharacteristic
80#16840168C2211yescharacteristic
81#16840166C2211yescharacteristic
82#16840159C2211yescharacteristic
83#16840158C2211yescharacteristic
84#16840129C2211yescharacteristic
85#16840129C2211yescharacteristic
86#16840128C2211yescharacteristic
87#16840127C2211yescharacteristic
88#16840124C2211yescharacteristic
89#16840123C2211yescharacteristic
90#16840123C2211yescharacteristic
91#16840122C2211yescharacteristic
92#16840119C2211yescharacteristic
93#16840118C2211yescharacteristic
94#16840118C2211yescharacteristic
95#16840117C2211yescharacteristic
96#16840105C2211yescharacteristic
97#16840101C2211yescharacteristic
98#16840099C2211yescharacteristic
99#16840096C2211yescharacteristic
100#16840094C2211yescharacteristic
101#16840091C2211yescharacteristic
102#16840089C2211yescharacteristic
103#16840089C2211yescharacteristic
104#16840082C2211yescharacteristic
105#16840082C2211yescharacteristic
106#16840077C2211yescharacteristic
107#16840077C2211yescharacteristic
108#16840070C2211yescharacteristic
109#16840069C2211yescharacteristic
110#16840069C2211yescharacteristic
111#16840068C2211yescharacteristic
112#16840068C2211yescharacteristic
113#16840066C2211yescharacteristic
114#16840065C2211yescharacteristic
115#16840065C2211yescharacteristic
116#16840065C2211yescharacteristic
117#16840065C2211yescharacteristic
118#16840063C2211yescharacteristic
119#16840061C2211yescharacteristic
120#16840061C2211yescharacteristic
121#16840059C2211yescharacteristic
122#16840056C2211yescharacteristic
123#16840056C2211yescharacteristic
124#16840056C2211yescharacteristic
125#16840054C2211yescharacteristic
126#16840053C2211yescharacteristic
127#16840051C2211yescharacteristic
128#16840050C2211yescharacteristic
129#16840050C2211yescharacteristic
130#16840047C2211yescharacteristic
131#16840046C2211yescharacteristic
132#16840046C2211yescharacteristic
133#16840044C2211yescharacteristic
134#16840044C2211yescharacteristic
135#16840041C2211yescharacteristic
136#16840040C2211yescharacteristic
137#16840039C2211yescharacteristic
138#16839987C2211yescharacteristic
139#16839987C2211yescharacteristic
140#16839985C2211yescharacteristic
141#16839985C2211yescharacteristic
142#16839979C2211yescharacteristic
143#16839979C2211yescharacteristic
144#16839977C2211yescharacteristic
145#16839977C2211yescharacteristic
146#16839971C2211yescharacteristic
147#16839965C2211yescharacteristic
148#16839963C2211yescharacteristic
149#16839957C2211yescharacteristic
150#16839925C2211yescharacteristic
151#16839921C2211yescharacteristic
152#16839908C2211yescharacteristic
153#16839908C2211yescharacteristic
154#16839893C2211yescharacteristic
155#16839892C2211yescharacteristic
156#16839891C2211yescharacteristic
157#16839891C2211yescharacteristic
158#16839890C2211yescharacteristic
159#16839890C2211yescharacteristic
160#16839889C2211yescharacteristic
161#16839872C2211yescharacteristic
162#16839871C2211yescharacteristic
163#16839871C2211yescharacteristic
164#16839871C2211yescharacteristic
165#16839870C2211yescharacteristic
166#16839868C2211yescharacteristic
167#16839867C2211yescharacteristic
168#16839867C2211yescharacteristic
169#16839864C2211yescharacteristic
170#16839862C2211yescharacteristic
171#16839861C2211yescharacteristic
172#16839861C2211yescharacteristic
173#16839861C2211yescharacteristic
174#16839859C2211yescharacteristic
175#16839856C2211yescharacteristic
176C4×#11758202C2211yescharacteristic
177#16839853C2211yescharacteristic
178C4×#11758190C2211yescharacteristic
179#16839849C2211yescharacteristic
180C4×#11758199C2211yescharacteristic
181#16839842C2211yescharacteristic
182#16839824C2211yescharacteristic
183#16839822C2211yescharacteristic
184#16839822C2211yescharacteristic
185#16839821C2211yescharacteristic
186#16839818C2211yescharacteristic
187#16839817C2211yescharacteristic
188Q82×C61C2211yescharacteristic
189C61×#554C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#501C2211yescharacteristic
192C61×#500C2211yescharacteristic
193C61×#479C2211yescharacteristic
194C61×#479C2211yescharacteristic
195C61×#477C2211yescharacteristic
196C61×#476C2211yescharacteristic
197C61×#474C2211yescharacteristic
198C61×#474C2211yescharacteristic
199C61×#446C2211yescharacteristic
200C61×#440C2211yescharacteristic
201C61×#440C2211yescharacteristic
202C4×SD16×C61C2211yescharacteristic
203C2×#11758226—21no—
204C2×#11758224C2311yescharacteristic
205C2×Q8×D61—21no—
206C2×Q8×D61—21no—
207C2×Dic244C2311yescharacteristic
208C2×#11758202C2311yescharacteristic
209C2×#11758190C2311yescharacteristic
210C2×#11758190C2311yescharacteristic
211C2×#11758200C2311yescharacteristic
212C2×#11758199C2311yescharacteristic
213C2×#11758199C2311yescharacteristic
214#14519777C2311yescharacteristic
215#14519776—21no—
216#14519776—21no—
217#14519776—21no—
218#14519776—21no—
219#14519776D411yescharacteristic
220#14519776C2311yescharacteristic
221#14519776C2311yescharacteristic
222#14519776C2311yescharacteristic
223#14519776C2311yescharacteristic
224#14519776C2311yescharacteristic
225#14519775—21no—
226#14519775—21no—
227#14519775—21no—
228#14519775—21no—
229#14519775—21no—
230#14519775D411yescharacteristic
231#14519775C2311yescharacteristic
232#14519774C2311yescharacteristic
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519771—21no—
238#14519771—21no—
239#14519771—21no—
240#14519771—21no—
241#14519769C2311yescharacteristic
242#14519769C2311yescharacteristic
243#14519768C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519768C2311yescharacteristic
246#14519768C2311yescharacteristic
247#14519767—21no—
248#14519767—21no—
249#14519767—21no—
250#14519767—21no—
251#14519767—21no—
252#14519767—21no—
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519767D411yescharacteristic
261#14519767D411yescharacteristic
262#14519766—21no—
263#14519766—21no—
264#14519766—21no—
265#14519766—21no—
266#14519766C2311yescharacteristic
267#14519766C2311yescharacteristic
268#14519765—21no—
269#14519765—21no—
270#14519765—21no—
271#14519765C2311yescharacteristic
272#14519765C2311yescharacteristic
273#14519762—21no—
274#14519762—21no—
275#14519762—21no—
276#14519762—21no—
277#14519762—21no—
278#14519762—21no—
279#14519762—21no—
280#14519762—21no—
281#14519757—21no—
282#14519757D411yescharacteristic
283#14519757C2311yescharacteristic
284#14519756—21no—
285#14519756—21no—
286#14519756—21no—
287#14519755—21no—
288#14519755—21no—
289#14519755—21no—
290#14519755—21no—
291#14519755—21no—
292#14519755—21no—
293#14519755—21no—
294#14519755—21no—
295#14519755—21no—
296#14519755—21no—
297#14519755—21no—
298#14519755D411yescharacteristic
299#14519755D411yescharacteristic
300#14519754—21no—
301#14519754—21no—
302#14519754—21no—
303#14519754—21no—
304#14519754—21no—
305#14519754—21no—
306#14519753—21no—
307#14519753—21no—
308#14519753—21no—
309#14519753—21no—
310#14519753—21no—
311#14519753D411yescharacteristic
312#14519753C2311yescharacteristic
313#14519752—21no—
314#14519752C2311yescharacteristic
315#14519752C2311yescharacteristic
316Q8×Dic61—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#14519742C2311yescharacteristic
330#14519742C2311yescharacteristic
331#14519742C2311yescharacteristic
332#14519742C2311yescharacteristic
333#14519742C2311yescharacteristic
334C4×D244—21no—
335C4×D244C2311yescharacteristic
336C4×D244C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340#14519739—21no—
341#14519739—21no—
342#14519739C2311yescharacteristic
343#14519739C2311yescharacteristic
344#14519739C2311yescharacteristic
345#14519739C2311yescharacteristic
346C4×C22⋊D61—21no—
347C4×C22⋊D61—21no—
348C4×C22⋊D61—21no—
349#14519737—21no—
350#14519737—21no—
351#14519737—21no—
352#14519735C2311yescharacteristic
353#14519734—21no—
354#14519734—21no—
355#14519734—21no—
356#14519734C2311yescharacteristic
357#14519734C2311yescharacteristic
358#14519733—21no—
359#14519733—21no—
360#14519733—21no—
361C2×C4⋊Dic61—21no—
362C2×#11758196—21no—
363C2×#11758196—21no—
364C2×#11758196—21no—
365C2×#11758196—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61—21no—
368C4⋊C4×D61C2311yescharacteristic
369C4⋊C4×D61C2311yescharacteristic
370C2×C4×Dic61—21no—
371C42×D61C2311yescharacteristic
372#14519711C2311yescharacteristic
373#14519710C2311yescharacteristic
374#14519710C2311yescharacteristic
375#14519710C2311yescharacteristic
376#14519710C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519709C2311yescharacteristic
379#14519709C2311yescharacteristic
380#14519708C2311yescharacteristic
381#14519708C2311yescharacteristic
382#14519708C2311yescharacteristic
383#14519708C2311yescharacteristic
384#14519708C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387C4⋊#92418C2311yescharacteristic
388C4⋊#92418C2311yescharacteristic
389C4⋊#92418C2311yescharacteristic
390#14519706C2311yescharacteristic
391#14519706C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519702C2311yescharacteristic
397#14519702C2311yescharacteristic
398#14519702C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519701C2311yescharacteristic
401#14519701C2311yescharacteristic
402#14519701C2311yescharacteristic
403#14519700C2311yescharacteristic
404#14519700C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519697C2311yescharacteristic
417#14519697C2311yescharacteristic
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
436C4⋊Q8×C61—21no—
437C4⋊Q8×C61—21no—
438C4⋊Q8×C61—21no—
439C4⋊Q8×C61C2311yescharacteristic
440C4⋊Q8×C61C2311yescharacteristic
441C4⋊Q8×C61C2311yescharacteristic
442C4⋊Q8×C61C2311yescharacteristic
443#125×C61C2311yescharacteristic
444#125×C61C2311yescharacteristic
445C22⋊Q8×C61—21no—
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448C4×Q8×C61—21no—
449C4×Q8×C61C2311yescharacteristic
450C4×Q8×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×Q8×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C2×C4⋊C4×C61—21no—
457#107×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61—21no—
482C2×Q8×C61C2×D411yescharacteristic
483C2×Q8×C61C2411yescharacteristic
484C2×D4×C61C2411yescharacteristic
485C22×C4×C61—21no—
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C2×C22⋊D61—21no—
489C22×Dic61—21no—
490C22×Dic61—21no—
491C22×Dic61—21no—
492C22×Dic61—21no—
493#11758226—82no—
494Q8×D61—82no—
495Q8×D61—82no—
496#11758224—22no—
497#11758224—22no—
498C2×D244—21no—
499C2×D244—21no—
500C2×D244—21no—
501C2×D244—21no—
502C2×D244C2411yescharacteristic
503C2×D244C2411yescharacteristic
504C2×C4×D61—21no—
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×D61C2×D411yescharacteristic
513C2×C4×D61C2×D411yescharacteristic
514C2×C4×D61C2411yescharacteristic
515C2×Dic122—21no—
516C2×Dic122—21no—
517C2×Dic122—21no—
518C2×Dic122—21no—
519C2×Dic122—21no—
520C2×Dic122—21no—
521C2×Dic122C2×D411yescharacteristic
522C2×Dic122C2×D411yescharacteristic
523C2×Dic122C2×D411yescharacteristic
524C2×Dic122C2411yescharacteristic
525C2×Dic122C2411yescharacteristic
526SD16×C61—22no—
527C2×C8×C61C2411yescharacteristic
528C2×C8×C61C2411yescharacteristic
529C2×C8×C61C2411yescharacteristic
530C2×C8×C61C2411yescharacteristic
531C4⋊C4×C61—21no—
532C4⋊C4×C61—21no—
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
549C4⋊C4×C61C2411yescharacteristic
550C4⋊C4×C61C2411yescharacteristic
551C22⋊C4×C61—21no—
552C22⋊C4×C61—21no—
553C22⋊C4×C61—21no—
554C42×C61—21no—
555C42×C61—21no—
556C42×C61—21no—
557C42×C61C2411yescharacteristic
558C42×C61C2411yescharacteristic
559C42×C61C2411yescharacteristic
560C22⋊Dic61—21no—
561C22⋊Dic61—21no—
562C22⋊Dic61—21no—
563#11758202—22no—
564#11758200—22no—
565#11758199—22no—
566#11758199—22no—
567#11758198—21no—
568#11758198—21no—
569#11758198—21no—
570#11758198—21no—
571#11758198—21no—
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#11758198—21no—
584#11758198—21no—
585#11758198—21no—
586#11758198C2×D411yescharacteristic
587#11758198C2×D411yescharacteristic
588#11758198C2×D411yescharacteristic
589#11758198C2×D411yescharacteristic
590C4⋊Dic61—21no—
591C4⋊Dic61—21no—
592C4⋊Dic61—21no—
593C4⋊Dic61—21no—
594C4⋊Dic61—21no—
595C4⋊Dic61—21no—
596C4⋊Dic61C2×D411yescharacteristic
597C4⋊Dic61C2×D411yescharacteristic
598C4⋊Dic61C2×D411yescharacteristic
599C4⋊Dic61C2411yescharacteristic
600C4⋊Dic61C2411yescharacteristic
601C4⋊Dic61C2411yescharacteristic
602C4⋊Dic61C2411yescharacteristic
603#11758196—21no—
604#11758196—21no—
605#11758196—21no—
606#11758196—21no—
607#11758196—21no—
608#11758196—21no—
609#11758196—21no—
610#11758196—21no—
611#11758196—21no—
612#11758196—21no—
613#11758196—21no—
614#11758196—21no—
615#11758196—21no—
616#11758196—21no—
617#11758196—21no—
618#11758196—21no—
619#11758196—21no—
620#11758196—21no—
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196C2×D411yescharacteristic
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
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×Dic61C2×D411yescharacteristic
651C4×Dic61C2×D411yescharacteristic
652C4×Dic61C2411yescharacteristic
653C4×Dic61C2411yescharacteristic
654C4×Dic61C2411yescharacteristic
655C2×#92418C2411yescharacteristic
656C2×#92418C2411yescharacteristic
657C2×#92418C2411yescharacteristic
658C2×#92418C2411yescharacteristic
659Dic244—22no—
660#11758190—22no—
661#11758190—22no—
662C23×C61—21no—
663C22×D61—21no—
664C22×D61—21no—
665C22×D61C22×D411yescharacteristic
666Q8×C61—21no—
667Q8×C61—21no—
668Q8×C61—41no—
669Q8×C61—81no—
670Q8×C61—81no—
671Q8×C61—81no—
672Q8×C61—81no—
673D4×C61—21no—
674D4×C612−1+412yes—
675C2×C4×C61—21no—
676C2×C4×C61—21no—
677C2×C4×C61—21no—
678C2×C4×C61—21no—
679C2×C4×C61—21no—
680C2×C4×C61—21no—
681C2×C4×C61—21no—
682C2×C4×C61—81no—
683C2×C4×C61—81no—
684C2×C4×C61—81no—
685C2×C4×C61C22×D411yescharacteristic
686C2×C4×C61C22×D411yescharacteristic
687C2×C4×C61C22×D411yescharacteristic
688C2×C4×C61C22×D411yescharacteristic
689C2×C4×C61C22×D411yescharacteristic
690C2×C4×C61C22×D411yescharacteristic
691C2×C4×C61C2511yescharacteristic
692C22⋊D61—24no—
693C2×Dic61—24no—
694C2×Dic61—21no—
695C2×Dic61—21no—
696C2×Dic61—21no—
697C2×Dic61—21no—
698C2×Dic61—21no—
699C2×Dic61—21no—
700C2×Dic61—81no—
701C2×Dic61—81no—
702C2×Dic61—81no—
703C2×Dic61C22×D411yescharacteristic
704C2×Dic61C22×D411yescharacteristic
705C2×Dic61C22×D411yescharacteristic
706C2×Dic61C22×D411yescharacteristic
707C2×Dic61C22×D411yescharacteristic
708C2×Dic61C22×D411yescharacteristic
709C2×Dic61C22×D411yescharacteristic
710D244—21no—
711D244—21no—
712D244—21no—
713D244—21no—
714D244—42no—
715D244—81no—
716D244—81no—
717D244—81no—
718C4×D61—21no—
719C4×D61—21no—
720C4×D61—41no—
721C4×D61—41no—
722C4×D61—42no—
723C4×D61—42no—
724C4×D61—81no—
725C4×D61—81no—
726C4×D61—81no—
727C4×D61—81no—
728C4×D61—81no—
729C4×D61—81no—
730Dic122—21no—
731Dic122—21no—
732Dic122—21no—
733Dic122—41no—
734Dic122—41no—
735Dic122—41no—
736Dic122—42no—
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#61878—611nomaximal, Sylow
752C22×C61—22no—
753C22×C61—41no—
754C22×C61—41no—
755C22×C61C23×D411yescharacteristic
756C2×D61—21no—
757C2×D61—21no—
758C2×D61—21no—
759C2×D61—41no—
760C2×D61—41no—
761C2×D61—41no—
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×C61—41no—
778C4×C61C2×2−1+411yescharacteristic
779C4×C61C2×2−1+411yescharacteristic
780Dic61—21no—
781Dic61—21no—
782Dic61—21no—
783Dic61—21no—
784Dic61—21no—
785Dic61—21no—
786Dic61—22no—
787Dic61—21no—
788Dic61—41no—
789Dic61—41no—
790Dic61—41no—
791Dic61—41no—
792Dic61—41no—
793#3550—611no—
794#3504—611no—
795#3387—611no—
796#3387—611no—
797#3386—611no—
798#3386—611no—
799#3385—611no—
800#3385D6111yescharacteristic, complemented
801#3384—611no—
802#3384—611no—
803#3377—611no—
804#3377—611no—
805#3376—611no—
806#3376—611no—
807#3371—611no—
808#3371—611no—
809#3370—611no—
810#3370—611no—
811#3244—611no—
812#3244—611no—
813#3243—611no—
814#3243—611no—
815#3236—611no—
816#3234—611no—
817#3125—611no—
818#3125—611no—
819#3124—611no—
820#3124—611no—
821#3116—611no—
822#3115—611no—
823#2987—611no—
824C2×C61—42no—
825C2×C61#348611yescharacteristic
826C2×C61#358511yescharacteristic
827C2×C61#358611yescharacteristic
828D61—41no—
829D61—81no—
830D61—81no—
831#563—1221no—
832#563—1221no—
833#559—611no—
834#559—611no—
835Q82—611no—
836Q82C2×D6111yescharacteristic
837#557—611no—
838#557—611no—
839#557—611no—
840#557—611no—
841#556—611no—
842#556—611no—
843#556—1221no—
844#554—611no—
845#554—611no—
846#554—611no—
847#554—1221no—
848#554—1221no—
849#554—1221no—
850#554—1221no—
851#554C2×D6111yescharacteristic
852D4×Q8—611no—
853D4×Q8—611no—
854D4×Q8—1221no—
855#544—611no—
856#544—611no—
857#544—1221no—
858#544—1221no—
859#542—611no—
860#542—611no—
861#542—611no—
862#542—611no—
863#542—1221no—
864#542—1221no—
865#536—1221no—
866#536—1221no—
867#533—611no—
868#533—611no—
869#533—1221no—
870#532—611no—
871C2×#125—611no—
872C2×#125—1221no—
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#501C2×D6111yescharacteristic
883#501C2×D6111yescharacteristic
884#500—611no—
885#500C2×D6111yescharacteristic
886#498—611no—
887#498—611no—
888#491—611no—
889#491—611no—
890#490—611no—
891#490—611no—
892#489—611no—
893#489—611no—
894#489—611no—
895#489—611no—
896#488—611no—
897#488—611no—
898#488—611no—
899#488—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#479C2×D6111yescharacteristic
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#478—611no—
928#477—611no—
929#477—611no—
930#477—611no—
931#477—611no—
932#477C2×D6111yescharacteristic
933#476—611no—
934#476—611no—
935#476—611no—
936#476—611no—
937#476C2×D6111yescharacteristic
938#475—611no—
939#475—611no—
940#475—611no—
941#475—611no—
942#475—611no—
943#474—611no—
944#474—611no—
945#474—611no—
946#474C2×D6111yescharacteristic
947#474C2×D6111yescharacteristic
948#464—611no—
949#464—611no—
950#464—611no—
951#464—611no—
952#463—611no—
953#463—611no—
954#463—611no—
955#463—611no—
956#462—611no—
957#461—611no—
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#442—611no—
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#440C2×D6111yescharacteristic
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#6187811yescharacteristic, complemented, Sylow
1003C2×#41—611no—
1004C2×#41—1221no—
1005C22×Q8—1221no—
1006C22×Q8—1221no—
1007C2×Q16—611no—
1008C2×Q16—611no—
1009C2×SD16—611no—
1010C2×SD16—611no—
1011C2×SD16—611no—
1012C2×SD16C22×D6111yescharacteristic
1013C2×D8—611no—
1014C2×D8—611no—
1015C4⋊Q8—21no—
1016C4⋊Q8—21no—
1017C4⋊Q8—21no—
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—611no—
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⋊Q8C22×D6111yescharacteristic
1037C4⋊Q8C22×D6111yescharacteristic
1038C4⋊Q8C22×D6111yescharacteristic
1039C4⋊Q8C22×D6111yescharacteristic
1040#127—611no—
1041#126—1221no—
1042#126—1221no—
1043#126—1221no—
1044#126—1221no—
1045#126—1221no—
1046#126—1221no—
1047#126—1221no—
1048#126—1221no—
1049#125—611no—
1050#125—611no—
1051#125—611no—
1052#125—611no—
1053#125—611no—
1054#125—611no—
1055#125—611no—
1056#125—611no—
1057#125—1221no—
1058#125—1221no—
1059#125—1221no—
1060#125—1221no—
1061#125—1221no—
1062#125—1221no—
1063#125—1221no—
1064#125—1221no—
1065#125—1221no—
1066#125—1221no—
1067#125—1221no—
1068#125—1221no—
1069#125—1221no—
1070#125C22×D6111yescharacteristic
1071#125C22×D6111yescharacteristic
1072#124—611no—
1073#124—611no—
1074#124—611no—
1075#124—611no—
1076#124—1221no—
1077#124—1221no—
1078#124—1221no—
1079#124—1221no—
1080#124—1221no—
1081#124—1221no—
1082#124—1221no—
1083#123—1221no—
1084#123—1221no—
1085#123—1221no—
1086#123—1221no—
1087#123—1221no—
1088#123—1221no—
1089#123—1221no—
1090#123—1221no—
1091C22⋊Q8—21no—
1092C22⋊Q8—21no—
1093C22⋊Q8—21no—
1094C22⋊Q8—611no—
1095C22⋊Q8—611no—
1096C22⋊Q8—611no—
1097C22⋊Q8—611no—
1098C22⋊Q8—611no—
1099C22⋊Q8—611no—
1100C22⋊Q8—1221no—
1101C22⋊Q8—1221no—
1102C22⋊Q8—1221no—
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—
1125C22⋊Q8—1221no—
1126#121—611no—
1127#121—611no—
1128#121—1221no—
1129C4×Q8—21no—
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×Q8C22×D6111yescharacteristic
1152C4×D4—611no—
1153C4×D4—611no—
1154C4×D4—611no—
1155C4×D4—611no—
1156C4×D4—611no—
1157C4×D4—611no—
1158C4×D4—611no—
1159C4×D4—611no—
1160C4×D4—611no—
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×D4—1221no—
1170C4×D4C22×D6111yescharacteristic
1171C4×D4C22×D6111yescharacteristic
1172C4×D4C22×D6111yescharacteristic
1173#117—611no—
1174#117—611no—
1175#117—611no—
1176#117—1221no—
1177#117—1221no—
1178#117—1221no—
1179#117—1221no—
1180#117—1221no—
1181#117—1221no—
1182C2×C4⋊C4—21no—
1183C2×C4⋊C4—611no—
1184C2×C4⋊C4—611no—
1185C2×C4⋊C4—1221no—
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#107C22×D6111yescharacteristic
1201#107C22×D6111yescharacteristic
1202#107C22×D6111yescharacteristic
1203#107C22×D6111yescharacteristic
1204#107C22×D6111yescharacteristic
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#106C22×D6111yescharacteristic
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#103—611no—
1241#103—611no—
1242#103—611no—
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#102—611no—
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—
1280#41—4882no—
1281C2×Q8—21no—
1282C2×Q8—21no—
1283C2×Q8—21no—
1284C2×Q8—21no—
1285C2×Q8—611no—
1286C2×Q8—611no—
1287C2×Q8—611no—
1288C2×Q8—611no—
1289C2×Q8—611no—
1290C2×Q8—1221no—
1291C2×Q8—1221no—
1292C2×Q8—1221no—
1293C2×Q8—1221no—
1294C2×Q8—1221no—
1295C2×Q8—1221no—
1296C2×Q8—4882no—
1297C2×Q8—4882no—
1298C2×Q8D4×D6111yescharacteristic
1299C2×Q8C23×D6111yescharacteristic
1300C2×D4—611no—
1301C2×D4—611no—
1302C2×D4—1221no—
1303C2×D4—1221no—
1304C2×D4—1221no—
1305C2×D4—1221no—
1306C2×D4—1221no—
1307C2×D4C23×D6111yescharacteristic
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—611no—
1312C22×C4—611no—
1313C22×C4—611no—
1314C22×C4—1221no—
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—1222no—
1330SD16—1222no—
1331SD16—1222no—
1332D8—1222no—
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—21no—
1352C4⋊C4—21no—
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⋊C4D4×D6111yescharacteristic
1404C4⋊C4D4×D6111yescharacteristic
1405C4⋊C4D4×D6111yescharacteristic
1406C4⋊C4C23×D6111yescharacteristic
1407C4⋊C4C23×D6111yescharacteristic
1408C4⋊C4C23×D6111yescharacteristic
1409C4⋊C4C23×D6111yescharacteristic
1410C4⋊C4C23×D6111yescharacteristic
1411C4⋊C4C23×D6111yescharacteristic
1412C22⋊C4—21no—
1413C22⋊C4—21no—
1414C22⋊C4—21no—
1415C22⋊C4—611no—
1416C22⋊C4—611no—
1417C22⋊C4—611no—
1418C22⋊C4—611no—
1419C22⋊C4—1221no—
1420C22⋊C4—1221no—
1421C22⋊C4—1221no—
1422C22⋊C4—1221no—
1423C22⋊C4—1221no—
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—21no—
1444C42—611no—
1445C42—611no—
1446C42—611no—
1447C42—611no—
1448C42—611no—
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—611no—
1464C23—1221no—
1465C23—1221no—
1466Q8—21no—
1467Q8—21no—
1468Q8—41no—
1469Q8—81no—
1470Q8—81no—
1471Q8—81no—
1472Q8—81no—
1473Q8—612no—
1474Q8—1221no—
1475Q8—1221no—
1476Q8—1221no—
1477Q8—4881no—
1478Q8—4881no—
1479Q8—4881no—
1480Q8—4881no—
1481Q8—4881no—
1482Q8—2441no—
1483Q8—2441no—
1484Q8—2441no—
1485Q8—2442no—
1486D4—21no—
1487D4—1224no—
1488D4—1221no—
1489D4—1221no—
1490D4—1221no—
1491D4—1221no—
1492D4—4881no—
1493D4—4881no—
1494D4—4881no—
1495D4—2442no—
1496D4#1451982512yes—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
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—4881no—
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—2441no—
1533C2×C4—2441no—
1534C2×C4—2442no—
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—1221no—
1555C22—1221no—
1556C22—1221no—
1557C22—2441no—
1558C22—2441no—
1559C22—2441no—
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—41no—
1577C4—1221no—
1578C4—1222no—
1579C4—1221no—
1580C4—1221no—
1581C4—1221no—
1582C4—1221no—
1583C4—1221no—
1584C4—1221no—
1585C4—2441no—
1586C4—2441no—
1587C4—2441no—
1588C4—2441no—
1589C4—2441no—
1590C42−1+4×D6111yescharacteristic
1591C4C2×#1451982511yescharacteristic
1592C2—42no—
1593C2—4881no—
1594C2—4881no—
1595C2—2441no—
1596C2#2145946911yescharacteristic
1597C2#2146059411yescharacteristic
1598C2#2146060211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3385C2
socleC22×C61C23×D4
prime radical#21455972C2
hypercenter#3385D61
hypocenterC61#61878
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3385

Complements

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

NH ≅ G/Ntype
1. #21460225C2semidirect
2. #21459639C2semidirect
3. #21458748C2semidirect
4. #21458747C2semidirect
5. #21458745C2semidirect
6. #21458737C2semidirect
7. #21458724C2semidirect
8. #21458722C2semidirect
9. #21458713C2semidirect
10. #21458668C2semidirect
11. #21458659C2semidirect
12. #21458651C2semidirect
13. #21458642C2semidirect
14. #21458590C2semidirect
15. #21458589C2semidirect
16. #21458573C2semidirect
17. #21458572C2semidirect
18. #21457124C2semidirect
19. #21457118C2semidirect
20. #21457107C2semidirect
21. #21457105C2semidirect
22. #21457023C2semidirect
23. #21457010C2semidirect
24. #21456101C2semidirect
25. #21456092C2semidirect
26. #21456086C2semidirect
27. #21456085C2semidirect
28. #21455977C2semidirect
30. #21454922C2semidirect
31. C61×#3385C2semidirect
800. #3385D61semidirect
1002. C61#61878semidirect

Maximal subgroups

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

subgroupindex
#214602252
#214596392
#214587482
#214587472
#214587452
#214587372
#214587242
#214587222
#214587132
#214586682
#214586592
#214586512
#214586422
#214585902
#214585892
#214585732
#214585722
#214571242
#214571182
#214571072
#214571052
#214570232
#214570102
#214561012
#214560922
#214560862
#214560852
#214559772
#214559722
#214549222
C61×#33852
#6187861