Finite Group Databasebeta

← #30570944

Subgroups — #30570944

Order 15616.

1712 conjugacy classes of subgroups.

The subgroup lattice has 1646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460212C211yesmaximal, characteristic, complemented
2#21459639C211yesmaximal, characteristic, complemented
3#21458778C211yesmaximal, characteristic, complemented
4#21458778C211yesmaximal, characteristic, complemented
5#21458775C211yesmaximal, characteristic, complemented
6#21458773C211yesmaximal, characteristic, complemented
7#21458768C211yesmaximal, characteristic, complemented
8#21458766C211yesmaximal, characteristic, complemented
9#21458761C211yesmaximal, characteristic, complemented
10#21458757C211yesmaximal, characteristic, complemented
11#21458553C211yesmaximal, characteristic, complemented
12#21458545C211yesmaximal, characteristic, complemented
13#21458545C211yesmaximal, characteristic, complemented
14#21458544C211yesmaximal, characteristic, complemented
15#21458530C211yesmaximal, characteristic, complemented
16#21458521C211yesmaximal, characteristic, complemented
17#21458521C211yesmaximal, characteristic, complemented
18#21457077C211yesmaximal, characteristic, complemented
19#21457071C211yesmaximal, characteristic, complemented
20#21457067C211yesmaximal, characteristic, complemented
21#21457065C211yesmaximal, characteristic, complemented
22#21457007C211yesmaximal, characteristic, complemented
23#21457004C211yesmaximal, characteristic, complemented
24#21456022C211yesmaximal, characteristic, complemented
25#21456015C211yesmaximal, characteristic, complemented
26#21456015C211yesmaximal, characteristic, complemented
27#21456014C211yesmaximal, characteristic, complemented
28#21455967C211yesmaximal, characteristic, complemented
29#21455966C211yesmaximal, characteristic, complemented
30#21454922C211yesmaximal, characteristic, complemented
31C61×#3366C211yesmaximal, characteristic, complemented
32#16840507—21no—
33#16840507—21no—
34#16840490C2211yescharacteristic
35#16840489C2211yescharacteristic
36#16840489C2211yescharacteristic
37#16840487C2211yescharacteristic
38#16840472C2211yescharacteristic
39#16840471C2211yescharacteristic
40#16840471C2211yescharacteristic
41#16840471C2211yescharacteristic
42#16840471C2211yescharacteristic
43#16840470—21no—
44#16840469C2211yescharacteristic
45#16840469C2211yescharacteristic
46#16840467—21no—
47#16840466—21no—
48#16840466—21no—
49#16840432C2211yescharacteristic
50#16840432C2211yescharacteristic
51#16840432C2211yescharacteristic
52#16840412—21no—
53#16840411—21no—
54#16840392C2211yescharacteristic
55#16840391—21no—
56#16840391—21no—
57#16840389C2211yescharacteristic
58#16840366C2211yescharacteristic
59#16840366C2211yescharacteristic
60#16840363C2211yescharacteristic
61#16840363C2211yescharacteristic
62#16840341—21no—
63#16840340—21no—
64#16840339—21no—
65#16840339—21no—
66#16840316C2211yescharacteristic
67#16840314—21no—
68#16840310C2211yescharacteristic
69#16840309C2211yescharacteristic
70C2×#14519767—21no—
71#125×D61C2211yescharacteristic
72#16840241C2211yescharacteristic
73#16840241C2211yescharacteristic
74C4×#11758224C2211yescharacteristic
75#16840172C2211yescharacteristic
76#16840171C2211yescharacteristic
77#16840171C2211yescharacteristic
78#16840170C2211yescharacteristic
79#16840170C2211yescharacteristic
80#16840169C2211yescharacteristic
81#16840169C2211yescharacteristic
82#16840168C2211yescharacteristic
83#16840164C2211yescharacteristic
84#16840162C2211yescharacteristic
85#16840162C2211yescharacteristic
86#16840161C2211yescharacteristic
87#16840126C2211yescharacteristic
88#16840126C2211yescharacteristic
89#16840125C2211yescharacteristic
90#16840125C2211yescharacteristic
91#16840125C2211yescharacteristic
92#16840125C2211yescharacteristic
93#16840108C2211yescharacteristic
94#16840107C2211yescharacteristic
95#16840107C2211yescharacteristic
96#16840088C2211yescharacteristic
97#16840085C2211yescharacteristic
98#16840085C2211yescharacteristic
99#16840084C2211yescharacteristic
100#16840082C2211yescharacteristic
101#16840079C2211yescharacteristic
102#16840079C2211yescharacteristic
103#16840079C2211yescharacteristic
104#16840077C2211yescharacteristic
105#16840074C2211yescharacteristic
106#16840074C2211yescharacteristic
107#16840074C2211yescharacteristic
108#16840072C2211yescharacteristic
109#16840070C2211yescharacteristic
110#16840070C2211yescharacteristic
111#16840068C2211yescharacteristic
112#16840064C2211yescharacteristic
113#16840064C2211yescharacteristic
114#16840064C2211yescharacteristic
115#16840064C2211yescharacteristic
116#16840064C2211yescharacteristic
117#16840063C2211yescharacteristic
118#16840063C2211yescharacteristic
119#16840062C2211yescharacteristic
120#16840062C2211yescharacteristic
121#16840062C2211yescharacteristic
122#16840062C2211yescharacteristic
123#16840060C2211yescharacteristic
124#16840060C2211yescharacteristic
125#16840060C2211yescharacteristic
126#16840060C2211yescharacteristic
127#16840060C2211yescharacteristic
128#16840059C2211yescharacteristic
129#16840059C2211yescharacteristic
130#16840053C2211yescharacteristic
131#16840050C2211yescharacteristic
132#16840050C2211yescharacteristic
133#16840048C2211yescharacteristic
134#16840046C2211yescharacteristic
135#16840042C2211yescharacteristic
136#16840042C2211yescharacteristic
137#16840040C2211yescharacteristic
138#16840040C2211yescharacteristic
139#16840040C2211yescharacteristic
140#16840039C2211yescharacteristic
141#16839961C2211yescharacteristic
142#16839961C2211yescharacteristic
143#16839961C2211yescharacteristic
144#16839959C2211yescharacteristic
145#16839959C2211yescharacteristic
146#16839959C2211yescharacteristic
147#16839955C2211yescharacteristic
148#16839955C2211yescharacteristic
149#16839955C2211yescharacteristic
150#16839908C2211yescharacteristic
151#16839904C2211yescharacteristic
152#16839904C2211yescharacteristic
153#16839904C2211yescharacteristic
154#16839893C2211yescharacteristic
155#16839892C2211yescharacteristic
156#16839891C2211yescharacteristic
157#16839891C2211yescharacteristic
158#16839890C2211yescharacteristic
159#16839890C2211yescharacteristic
160#16839889C2211yescharacteristic
161#16839874C2211yescharacteristic
162#16839874C2211yescharacteristic
163#16839874C2211yescharacteristic
164#16839874C2211yescharacteristic
165#16839872C2211yescharacteristic
166#16839872C2211yescharacteristic
167#16839864C2211yescharacteristic
168#16839864C2211yescharacteristic
169#16839862C2211yescharacteristic
170#16839862C2211yescharacteristic
171#16839859C2211yescharacteristic
172#16839859C2211yescharacteristic
173#16839859C2211yescharacteristic
174#16839859C2211yescharacteristic
175#16839853C2211yescharacteristic
176#16839853C2211yescharacteristic
177C4×#11758190C2211yescharacteristic
178C4×#11758200C2211yescharacteristic
179D8×Dic61C2211yescharacteristic
180D8×Dic61C2211yescharacteristic
181C4×#11758199C2211yescharacteristic
182#16839824C2211yescharacteristic
183#16839822C2211yescharacteristic
184#16839822C2211yescharacteristic
185#16839821C2211yescharacteristic
186#16839818C2211yescharacteristic
187#16839817C2211yescharacteristic
188C61×#554C2211yescharacteristic
189C61×#550C2211yescharacteristic
190C61×#490C2211yescharacteristic
191C61×#490C2211yescharacteristic
192C61×#486C2211yescharacteristic
193C61×#478C2211yescharacteristic
194C61×#478C2211yescharacteristic
195C61×#476C2211yescharacteristic
196C61×#459C2211yescharacteristic
197C61×#459C2211yescharacteristic
198C61×#459C2211yescharacteristic
199C61×#446C2211yescharacteristic
200C61×#442C2211yescharacteristic
201C61×#442C2211yescharacteristic
202C4×D8×C61C2211yescharacteristic
203C2×#11758222—21no—
204C2×#11758224—21no—
205C2×#11758224—21no—
206C2×#11758224—21no—
207C2×#11758224—21no—
208C2×#11758224C2311yescharacteristic
209C2×#11758190C2311yescharacteristic
210C2×#11758200C2311yescharacteristic
211C2×#11758200C2311yescharacteristic
212C2×#11758200C2311yescharacteristic
213C2×#11758199C2311yescharacteristic
214#14519777C2311yescharacteristic
215#14519777C2311yescharacteristic
216#14519776—21no—
217#14519776—21no—
218#14519776—21no—
219#14519776D411yescharacteristic
220#14519776C2311yescharacteristic
221#14519776C2311yescharacteristic
222#14519776C2311yescharacteristic
223#14519775—21no—
224#14519775—21no—
225#14519775—21no—
226#14519775D411yescharacteristic
227#14519773C2311yescharacteristic
228#14519773C2311yescharacteristic
229#14519773C2311yescharacteristic
230#14519769C2311yescharacteristic
231#14519769C2311yescharacteristic
232#14519769C2311yescharacteristic
233#14519769C2311yescharacteristic
234#14519768C2311yescharacteristic
235#14519768C2311yescharacteristic
236#14519768C2311yescharacteristic
237#14519768C2311yescharacteristic
238#14519768C2311yescharacteristic
239#14519768C2311yescharacteristic
240#14519767—21no—
241#14519767—21no—
242#14519767—21no—
243#14519767—21no—
244#14519767—21no—
245#14519767—21no—
246#14519767—21no—
247#14519767—21no—
248#14519767—21no—
249#14519767—21no—
250#14519767—21no—
251#14519767—21no—
252#14519767D411yescharacteristic
253#14519767D411yescharacteristic
254#14519764—21no—
255#14519763—21no—
256#14519760—21no—
257#14519760—21no—
258#14519759—21no—
259#14519759—21no—
260#14519758—21no—
261#14519758—21no—
262#14519758—21no—
263#14519758—21no—
264#14519757—21no—
265#14519757D411yescharacteristic
266#14519756—21no—
267#14519756—21no—
268#14519756—21no—
269#14519756—21no—
270#14519756—21no—
271#14519756—21no—
272#14519755—21no—
273#14519755—21no—
274#14519755—21no—
275#14519755—21no—
276#14519755D411yescharacteristic
277#14519755D411yescharacteristic
278#14519754—21no—
279#14519754—21no—
280#14519754—21no—
281#14519754—21no—
282#14519754—21no—
283#14519754—21no—
284#14519754—21no—
285#14519754—21no—
286#14519754—21no—
287#14519754—21no—
288#14519754—21no—
289#14519754—21no—
290#14519753—21no—
291#14519753—21no—
292#14519753D411yescharacteristic
293#14519752C2311yescharacteristic
294#14519751—21no—
295#14519751—21no—
296#14519750—21no—
297#14519750—21no—
298#14519750—21no—
299#14519749—21no—
300#14519749—21no—
301#14519749—21no—
302#14519749—21no—
303#14519749—21no—
304#14519749—21no—
305#14519749—21no—
306#14519749—21no—
307#14519749—21no—
308#14519749—21no—
309#14519748—21no—
310#14519748—21no—
311#14519748—21no—
312#14519748—21no—
313#14519748C2311yescharacteristic
314#14519748C2311yescharacteristic
315#14519748C2311yescharacteristic
316Q8×Dic61—21no—
317C4×Dic122C2311yescharacteristic
318C4×Dic122C2311yescharacteristic
319C4×Dic122C2311yescharacteristic
320C4×Dic122C2311yescharacteristic
321C4×Dic122C2311yescharacteristic
322C4×Dic122C2311yescharacteristic
323#14519742—21no—
324#14519742—21no—
325#14519742—21no—
326#14519742C2311yescharacteristic
327#14519742C2311yescharacteristic
328#14519742C2311yescharacteristic
329C4×D244C2311yescharacteristic
330C4×D244C2311yescharacteristic
331C4×D244C2311yescharacteristic
332D4×Dic61—21no—
333D4×Dic61C2311yescharacteristic
334D4×Dic61C2311yescharacteristic
335D4×Dic61C2311yescharacteristic
336D4×Dic61C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340D4×Dic61C2311yescharacteristic
341D4×Dic61C2311yescharacteristic
342C4×C22⋊D61—21no—
343C4×C22⋊D61—21no—
344C4×C22⋊D61—21no—
345C4×C22⋊D61—21no—
346#14519737—21no—
347#14519737—21no—
348#14519737—21no—
349#14519735C2311yescharacteristic
350#14519734C2311yescharacteristic
351#14519734C2311yescharacteristic
352#14519733—21no—
353#14519733—21no—
354#14519733—21no—
355C2×C4⋊Dic61—21no—
356C2×C4⋊Dic61—21no—
357C2×#11758196—21no—
358C2×#11758196—21no—
359C2×#11758196—21no—
360C2×#11758196—21no—
361C2×#11758196—21no—
362C2×#11758196—21no—
363C4⋊C4×D61—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#14519710C2311yescharacteristic
375#14519710C2311yescharacteristic
376#14519710C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519709C2311yescharacteristic
382#14519709C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519709C2311yescharacteristic
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#14519700C2311yescharacteristic
404#14519699C2311yescharacteristic
405#14519699C2311yescharacteristic
406#14519699C2311yescharacteristic
407#14519698C2311yescharacteristic
408#14519698C2311yescharacteristic
409#14519698C2311yescharacteristic
410#14519698C2311yescharacteristic
411#14519698C2311yescharacteristic
412#14519698C2311yescharacteristic
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×#41×C61—21no—
436C2×D8×C61C2311yescharacteristic
437C2×D8×C61C2311yescharacteristic
438C2×D8×C61C2311yescharacteristic
439C4⋊Q8×C61C2311yescharacteristic
440#127×C61C2311yescharacteristic
441#127×C61C2311yescharacteristic
442#127×C61C2311yescharacteristic
443#125×C61C2311yescharacteristic
444#125×C61C2311yescharacteristic
445C22⋊Q8×C61—21no—
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448#121×C61—21no—
449#121×C61—21no—
450#121×C61—21no—
451C4×Q8×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458C2×C4⋊C4×C61—21no—
459#107×C61C2311yescharacteristic
460#106×C61C2311yescharacteristic
461#106×C61C2311yescharacteristic
462C4⋊C8×C61C2311yescharacteristic
463C4⋊C8×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#102×C61C2311yescharacteristic
466#102×C61C2311yescharacteristic
467#102×C61C2311yescharacteristic
468#102×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478#41×C61—82no—
479C2×Q8×C61—21no—
480C2×Q8×C61C2×D411yescharacteristic
481C2×D4×C61—21no—
482C2×D4×C61—21no—
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61C2411yescharacteristic
488C2×D4×C61C2411yescharacteristic
489C2×D4×C61C2411yescharacteristic
490C2×D4×C61C2411yescharacteristic
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C22×C4×C61—21no—
496C22×C4×C61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C22×Dic61—21no—
508C22×Dic61—21no—
509C22×Dic61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61—21no—
515C22×Dic61—21no—
516C22×Dic61—21no—
517#11758224—22no—
518#11758224—22no—
519#11758224—82no—
520#11758224—82no—
521#11758224—82no—
522#11758224—82no—
523#11758222—82no—
524C2×D244—21no—
525C2×D244C2411yescharacteristic
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61C2×D411yescharacteristic
532C2×C4×D61C2×D411yescharacteristic
533C2×C4×D61C2411yescharacteristic
534C2×Dic122—21no—
535C2×Dic122—21no—
536C2×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122C2×D411yescharacteristic
540C2×Dic122C2×D411yescharacteristic
541C2×Dic122C2×D411yescharacteristic
542C2×Dic122C2411yescharacteristic
543D8×C61—22no—
544D8×C61—22no—
545D8×C61—22no—
546C2×C8×C61C2411yescharacteristic
547C2×C8×C61C2411yescharacteristic
548C2×C8×C61C2411yescharacteristic
549C2×C8×C61C2411yescharacteristic
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61C2×D411yescharacteristic
556C4⋊C4×C61C2×D411yescharacteristic
557C4⋊C4×C61C2×D411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C22⋊C4×C61—21no—
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C42×C61C2411yescharacteristic
569C42×C61C2411yescharacteristic
570C42×C61C2411yescharacteristic
571C22⋊Dic61—21no—
572C22⋊Dic61—21no—
573C22⋊Dic61—21no—
574C22⋊Dic61—21no—
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583#11758200—22no—
584#11758200—22no—
585#11758200—22no—
586#11758199—22no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198C2×D411yescharacteristic
593#11758198C2×D411yescharacteristic
594#11758198C2×D411yescharacteristic
595#11758198C2×D411yescharacteristic
596C4⋊Dic61—21no—
597C4⋊Dic61—21no—
598C4⋊Dic61—21no—
599C4⋊Dic61—21no—
600C4⋊Dic61—21no—
601C4⋊Dic61—21no—
602C4⋊Dic61—21no—
603C4⋊Dic61—21no—
604C4⋊Dic61C2×D411yescharacteristic
605C4⋊Dic61C2×D411yescharacteristic
606C4⋊Dic61C2×D411yescharacteristic
607C4⋊Dic61C2411yescharacteristic
608C4⋊Dic61C2411yescharacteristic
609C4⋊Dic61C2411yescharacteristic
610C4⋊Dic61C2411yescharacteristic
611C4⋊Dic61C2411yescharacteristic
612C4⋊Dic61C2411yescharacteristic
613#11758196—21no—
614#11758196—21no—
615#11758196—21no—
616#11758196—21no—
617#11758196—21no—
618#11758196—21no—
619#11758196—21no—
620#11758196—21no—
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196C2×D411yescharacteristic
639#11758196C2×D411yescharacteristic
640#11758196C2×D411yescharacteristic
641#11758196C2×D411yescharacteristic
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×Dic61C2×D411yescharacteristic
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2411yescharacteristic
658C4×Dic61C2411yescharacteristic
659C4×Dic61C2411yescharacteristic
660C2×#92418C2411yescharacteristic
661C2×#92418C2411yescharacteristic
662C2×#92418C2411yescharacteristic
663C2×#92418C2411yescharacteristic
664#11758190—22no—
665C23×C61—21no—
666C23×C61—21no—
667C23×C61—21no—
668C23×C61—21no—
669C22×D61—21no—
670C22×D61C22×D411yescharacteristic
671Q8×C61—41no—
672Q8×C61—81no—
673D4×C61—21no—
674D4×C61—21no—
675D4×C61—21no—
676D4×C61—21no—
677D4×C61—21no—
678D4×C61—21no—
679D4×C61—21no—
680D4×C61—42no—
681D4×C61—81no—
682D4×C61—81no—
683D4×C61—81no—
684D4×C61—81no—
685D4×C61—81no—
686D4×C612−1+412yes—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—42no—
692C2×C4×C61—81no—
693C2×C4×C61—81no—
694C2×C4×C61—81no—
695C2×C4×C61—81no—
696C2×C4×C61—81no—
697C2×C4×C61C22×D411yescharacteristic
698C2×C4×C61C22×D411yescharacteristic
699C2×C4×C61C22×D411yescharacteristic
700C2×C4×C61C22×D411yescharacteristic
701C2×C4×C61C22×D411yescharacteristic
702C2×C4×C61C22×D411yescharacteristic
703C2×C4×C61C2511yescharacteristic
704C22⋊D61—24no—
705C22⋊D61—42no—
706C22⋊D61—81no—
707C22⋊D61—81no—
708C22⋊D61—81no—
709C22⋊D61—81no—
710C22⋊D61—81no—
711C22⋊D61—81no—
712C22⋊D61—81no—
713C22⋊D61—81no—
714C2×Dic61—24no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—42no—
723C2×Dic61—42no—
724C2×Dic61—81no—
725C2×Dic61—81no—
726C2×Dic61—81no—
727C2×Dic61—81no—
728C2×Dic61—81no—
729C2×Dic61—81no—
730C2×Dic61—81no—
731C2×Dic61C22×D411yescharacteristic
732C2×Dic61C22×D411yescharacteristic
733C2×Dic61C22×D411yescharacteristic
734C2×Dic61C22×D411yescharacteristic
735C2×Dic61C22×D411yescharacteristic
736C2×Dic61C22×D411yescharacteristic
737C2×Dic61C22×D411yescharacteristic
738D244—21no—
739D244—21no—
740D244—81no—
741C4×D61—21no—
742C4×D61—21no—
743C4×D61—41no—
744C4×D61—41no—
745C4×D61—42no—
746C4×D61—81no—
747C4×D61—81no—
748C4×D61—81no—
749C4×D61—81no—
750Dic122—21no—
751Dic122—41no—
752Dic122—41no—
753Dic122—41no—
754Dic122—81no—
755Dic122—81no—
756Dic122—81no—
757Dic122—81no—
758Dic122—81no—
759Dic1222−1+412yes—
760C8×C61—21no—
761C8×C61—21no—
762C8×C61—21no—
763C8×C61—21no—
764#92418—21no—
765#92418—21no—
766#92418—21no—
767#92418—21no—
768#61876—611nomaximal, Sylow
769C22×C61—22no—
770C22×C61—41no—
771C22×C61—41no—
772C22×C61—41no—
773C22×C61—41no—
774C22×C61—41no—
775C22×C61—41no—
776C22×C61—41no—
777C22×C61—41no—
778C22×C61—41no—
779C22×C61—41no—
780C22×C61—41no—
781C22×C61C23×D411yescharacteristic
782C2×D61—21no—
783C2×D61—21no—
784C2×D61—21no—
785C2×D61—41no—
786C2×D61—41no—
787C2×D61—41no—
788C4×C61—21no—
789C4×C61—21no—
790C4×C61—21no—
791C4×C61—21no—
792C4×C61—21no—
793C4×C61—21no—
794C4×C61—41no—
795C4×C61—41no—
796C4×C61—41no—
797C4×C61—41no—
798C4×C61C2×2−1+411yescharacteristic
799C4×C61C2×2−1+411yescharacteristic
800Dic61—21no—
801Dic61—21no—
802Dic61—21no—
803Dic61—21no—
804Dic61—21no—
805Dic61—21no—
806Dic61—22no—
807Dic61—21no—
808Dic61—41no—
809Dic61—41no—
810Dic61—41no—
811Dic61—41no—
812Dic61—41no—
813Dic61—41no—
814#3548—611no—
815#3504—611no—
816#3389—611no—
817#3389—611no—
818#3389—611no—
819#3389—611no—
820#3388—611no—
821#3388—611no—
822#3388—611no—
823#3388—611no—
824#3368—611no—
825#3368—611no—
826#3368—611no—
827#3368—611no—
828#3366—611no—
829#3366—611no—
830#3366—611no—
831#3366D6111yescharacteristic, complemented
832#3241—611no—
833#3241—611no—
834#3241—611no—
835#3241—611no—
836#3234—611no—
837#3234—611no—
838#3119—611no—
839#3119—611no—
840#3119—611no—
841#3119—611no—
842#3115—611no—
843#3115—611no—
844#2987—611no—
845C2×C61—42no—
846C2×C61—81no—
847C2×C61—81no—
848C2×C61—81no—
849C2×C61#348611yescharacteristic
850C2×C61#358511yescharacteristic
851C2×C61#358511yescharacteristic
852D61—41no—
853D61—81no—
854#562—1221no—
855#562—1221no—
856#557—611no—
857#557—611no—
858#557—611no—
859#557—611no—
860#554—611no—
861#554—611no—
862#554—611no—
863#554—611no—
864#554—611no—
865#554—611no—
866#554—611no—
867#554—1221no—
868#554—1221no—
869#554—1221no—
870#554—1221no—
871#554C2×D6111yescharacteristic
872#550—611no—
873#550—611no—
874#550—611no—
875#550C2×D6111yescharacteristic
876#547—1221no—
877#547—1221no—
878#544—611no—
879#544—611no—
880#544—1221no—
881#544—1221no—
882#540—611no—
883#540—611no—
884#540—611no—
885#540—611no—
886#537—1221no—
887#537—1221no—
888#537—1221no—
889#537—1221no—
890#533—611no—
891#533—1221no—
892#532—611no—
893#532—611no—
894C2×#125—611no—
895C2×#125—1221no—
896#520—611no—
897#520—611no—
898C4×#41—611no—
899#501—611no—
900#501—611no—
901#501—611no—
902#501—611no—
903#501—611no—
904#501—611no—
905#501—611no—
906#501—611no—
907#499—611no—
908#499—611no—
909#499—611no—
910#499—611no—
911#490—611no—
912#490—611no—
913#490—611no—
914#490—611no—
915#490—611no—
916#490—611no—
917#490C2×D6111yescharacteristic
918#490C2×D6111yescharacteristic
919#486—611no—
920#486—611no—
921#486—611no—
922#486C2×D6111yescharacteristic
923#482—611no—
924#482—611no—
925#482—611no—
926#482—611no—
927#481—611no—
928#481—611no—
929#481—611no—
930#481—611no—
931#480—611no—
932#480—611no—
933#480—611no—
934#480—611no—
935#479—611no—
936#479—611no—
937#479—611no—
938#479—611no—
939#478—611no—
940#478—611no—
941#478—611no—
942#478—611no—
943#478—611no—
944#478—611no—
945#478—611no—
946#478—611no—
947#478—611no—
948#478—611no—
949#478—611no—
950#478—611no—
951#478—611no—
952#478—611no—
953#478—611no—
954#478—611no—
955#478—611no—
956#478—611no—
957#478C2×D6111yescharacteristic
958#478C2×D6111yescharacteristic
959#476—611no—
960#476—611no—
961#476—611no—
962#476C2×D6111yescharacteristic
963#475—611no—
964#475—611no—
965#474—611no—
966#474—611no—
967#474—611no—
968#474—611no—
969#474—611no—
970#474—611no—
971#460—611no—
972#460—611no—
973#460—611no—
974#460—611no—
975#460—611no—
976#460—611no—
977#459—611no—
978#459—611no—
979#459—611no—
980#459C2×D6111yescharacteristic
981#459C2×D6111yescharacteristic
982#459C2×D6111yescharacteristic
983#449—611no—
984#449—611no—
985#449—611no—
986#449—611no—
987#446—611no—
988#446—611no—
989#446—611no—
990#446—611no—
991#446—611no—
992#446—611no—
993#446—611no—
994#446C2×D6111yescharacteristic
995#442—611no—
996#442—611no—
997#442—611no—
998#442—611no—
999#442—611no—
1000#442—611no—
1001#442C2×D6111yescharacteristic
1002#442C2×D6111yescharacteristic
1003#440—611no—
1004#440—611no—
1005#440—611no—
1006#440—611no—
1007#440—611no—
1008#440—611no—
1009#440—611no—
1010#440—611no—
1011C4×SD16—611no—
1012C4×SD16—611no—
1013C4×SD16—611no—
1014C4×SD16—611no—
1015C4×D8—611no—
1016C4×D8—611no—
1017C4×D8—611no—
1018C4×D8C2×D6111yescharacteristic
1019#433—611no—
1020#433—611no—
1021#433—611no—
1022#433—611no—
1023#432—611no—
1024#432—611no—
1025C61#6187611yescharacteristic, complemented, Sylow
1026C2×#41—21no—
1027C2×#41—611no—
1028C2×#41—1221no—
1029C2×#41—1221no—
1030C2×#41—1221no—
1031C2×#41—1221no—
1032C2×#41—1221no—
1033C2×SD16—611no—
1034C2×SD16—611no—
1035C2×SD16—611no—
1036C2×SD16—611no—
1037C2×D8—611no—
1038C2×D8C22×D6111yescharacteristic
1039C2×D8C22×D6111yescharacteristic
1040C2×D8C22×D6111yescharacteristic
1041C4⋊Q8—611no—
1042C4⋊Q8—611no—
1043C4⋊Q8—611no—
1044C4⋊Q8—611no—
1045C4⋊Q8—611no—
1046C4⋊Q8—611no—
1047C4⋊Q8—611no—
1048C4⋊Q8—1221no—
1049C4⋊Q8—1221no—
1050C4⋊Q8—1221no—
1051C4⋊Q8—1221no—
1052C4⋊Q8—1221no—
1053C4⋊Q8—1221no—
1054C4⋊Q8C22×D6111yescharacteristic
1055#127—611no—
1056#127—611no—
1057#127—611no—
1058#127C22×D6111yescharacteristic
1059#127C22×D6111yescharacteristic
1060#127C22×D6111yescharacteristic
1061#125—611no—
1062#125—611no—
1063#125—611no—
1064#125—611no—
1065#125—611no—
1066#125—611no—
1067#125—611no—
1068#125—611no—
1069#125—611no—
1070#125—611no—
1071#125—611no—
1072#125—611no—
1073#125—1221no—
1074#125—1221no—
1075#125—1221no—
1076#125—1221no—
1077#125—1221no—
1078#125—1221no—
1079#125—1221no—
1080#125—1221no—
1081#125—1221no—
1082#125—1221no—
1083#125—1221no—
1084#125—1221no—
1085#125C22×D6111yescharacteristic
1086#125C22×D6111yescharacteristic
1087#124—1221no—
1088#124—1221no—
1089#123—1221no—
1090#123—1221no—
1091#123—1221no—
1092#123—1221no—
1093#123—1221no—
1094#123—1221no—
1095#123—1221no—
1096#123—1221no—
1097C22⋊Q8—21no—
1098C22⋊Q8—21no—
1099C22⋊Q8—21no—
1100C22⋊Q8—611no—
1101C22⋊Q8—611no—
1102C22⋊Q8—611no—
1103C22⋊Q8—611no—
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—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129#121—21no—
1130#121—21no—
1131#121—21no—
1132#121—611no—
1133#121—611no—
1134#121—611no—
1135#121—611no—
1136#121—1221no—
1137#121—1221no—
1138#121—1221no—
1139#121—1221no—
1140#121—1221no—
1141#121—1221no—
1142#121—1221no—
1143#121—1221no—
1144#121—1221no—
1145#121—1221no—
1146#121—1221no—
1147#121—1221no—
1148#121—1221no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155C4×Q8—611no—
1156C4×Q8—611no—
1157C4×Q8—611no—
1158C4×Q8—611no—
1159C4×Q8—611no—
1160C4×Q8—611no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—1221no—
1165C4×Q8—1221no—
1166C4×Q8—1221no—
1167C4×Q8—1221no—
1168C4×Q8C22×D6111yescharacteristic
1169C4×D4—611no—
1170C4×D4—611no—
1171C4×D4—611no—
1172C4×D4—611no—
1173C4×D4—611no—
1174C4×D4—611no—
1175C4×D4—611no—
1176C4×D4—611no—
1177C4×D4—611no—
1178C4×D4—611no—
1179C4×D4—611no—
1180C4×D4—611no—
1181C4×D4—1221no—
1182C4×D4—1221no—
1183C4×D4—1221no—
1184C4×D4—1221no—
1185C4×D4—1221no—
1186C4×D4—1221no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4C22×D6111yescharacteristic
1190C4×D4C22×D6111yescharacteristic
1191C4×D4C22×D6111yescharacteristic
1192C4×D4C22×D6111yescharacteristic
1193C4×D4C22×D6111yescharacteristic
1194C4×D4C22×D6111yescharacteristic
1195#117—611no—
1196#117—611no—
1197#117—611no—
1198#117—1221no—
1199#117—1221no—
1200#117—1221no—
1201C2×C4⋊C4—21no—
1202C2×C4⋊C4—611no—
1203C2×C4⋊C4—611no—
1204C2×C4⋊C4—1221no—
1205C2×C4⋊C4—1221no—
1206C2×C4⋊C4—1221no—
1207C2×C4⋊C4—1221no—
1208C2×C4⋊C4—1221no—
1209C2×C4⋊C4—1221no—
1210C2×C4⋊C4—1221no—
1211C2×C4⋊C4—1221no—
1212C2×C4⋊C4—1221no—
1213C2×C4⋊C4—1221no—
1214C2×C4⋊C4—1221no—
1215C2×C42—611no—
1216C2×C42—1221no—
1217#107—611no—
1218#107—611no—
1219#107—611no—
1220#107—611no—
1221#107—611no—
1222#107—611no—
1223#107—611no—
1224#107—611no—
1225#107—611no—
1226#107—611no—
1227#107—611no—
1228#107C22×D6111yescharacteristic
1229#106—611no—
1230#106—611no—
1231#106—611no—
1232#106—611no—
1233#106—611no—
1234#106—611no—
1235#106—611no—
1236#106—611no—
1237#106—611no—
1238#106—611no—
1239#106C22×D6111yescharacteristic
1240#106C22×D6111yescharacteristic
1241C4⋊C8—611no—
1242C4⋊C8—611no—
1243C4⋊C8—611no—
1244C4⋊C8—611no—
1245C4⋊C8—611no—
1246C4⋊C8—611no—
1247C4⋊C8—611no—
1248C4⋊C8—611no—
1249C4⋊C8—611no—
1250C4⋊C8C22×D6111yescharacteristic
1251C4⋊C8C22×D6111yescharacteristic
1252C4⋊C8C22×D6111yescharacteristic
1253#103—611no—
1254#103—611no—
1255#103—611no—
1256#103—611no—
1257#102—611no—
1258#102—611no—
1259#102—611no—
1260#102—611no—
1261#102—611no—
1262#102—611no—
1263#102—611no—
1264#102—611no—
1265#102—611no—
1266#102—611no—
1267#102—611no—
1268#102—611no—
1269#102—611no—
1270#102—611no—
1271#102—611no—
1272#102—611no—
1273#102—611no—
1274#102—611no—
1275#102C22×D6111yescharacteristic
1276#102C22×D6111yescharacteristic
1277#102C22×D6111yescharacteristic
1278#102C22×D6111yescharacteristic
1279#102C22×D6111yescharacteristic
1280#102C22×D6111yescharacteristic
1281#102C22×D6111yescharacteristic
1282#102C22×D6111yescharacteristic
1283#102C22×D6111yescharacteristic
1284#102C22×D6111yescharacteristic
1285C22⋊C8—611no—
1286C22⋊C8—611no—
1287C22⋊C8—611no—
1288C22⋊C8—611no—
1289#97—611no—
1290#97—611no—
1291#97—611no—
1292#97—611no—
1293#97—611no—
1294#97—611no—
1295#97C22×D6111yescharacteristic
1296#97C22×D6111yescharacteristic
1297C4×C8—611no—
1298C4×C8—611no—
1299C4×C8—611no—
1300C4×C8C22×D6111yescharacteristic
1301#41—82no—
1302#41—1222no—
1303#41—1222no—
1304#41—4882no—
1305#41—4882no—
1306#41—4882no—
1307#41—4882no—
1308#41—4882no—
1309C2×Q8—21no—
1310C2×Q8—611no—
1311C2×Q8—611no—
1312C2×Q8—611no—
1313C2×Q8—611no—
1314C2×Q8—1221no—
1315C2×Q8—1221no—
1316C2×Q8—1221no—
1317C2×Q8—1221no—
1318C2×Q8—1221no—
1319C2×Q8D4×D6111yescharacteristic
1320C2×D4—21no—
1321C2×D4—21no—
1322C2×D4—21no—
1323C2×D4—21no—
1324C2×D4—21no—
1325C2×D4—21no—
1326C2×D4—611no—
1327C2×D4—1221no—
1328C2×D4—1221no—
1329C2×D4—1221no—
1330C2×D4—1221no—
1331C2×D4—1221no—
1332C2×D4—1221no—
1333C2×D4—1221no—
1334C2×D4—1221no—
1335C2×D4—1221no—
1336C2×D4—1221no—
1337C2×D4—1221no—
1338C2×D4C23×D6111yescharacteristic
1339C2×D4C23×D6111yescharacteristic
1340C2×D4C23×D6111yescharacteristic
1341C2×D4C23×D6111yescharacteristic
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4—21no—
1346C22×C4—21no—
1347C22×C4—21no—
1348C22×C4—611no—
1349C22×C4—611no—
1350C22×C4—611no—
1351C22×C4—1221no—
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—1221no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4—1221no—
1366SD16—1222no—
1367SD16—1222no—
1368SD16—1222no—
1369SD16—1222no—
1370D8—22no—
1371D8—22no—
1372D8—22no—
1373D8—1222no—
1374C2×C8—611no—
1375C2×C8—611no—
1376C2×C8—611no—
1377C2×C8—611no—
1378C2×C8C23×D6111yescharacteristic
1379C2×C8C23×D6111yescharacteristic
1380C2×C8C23×D6111yescharacteristic
1381C2×C8C23×D6111yescharacteristic
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—611no—
1388C4⋊C4—611no—
1389C4⋊C4—611no—
1390C4⋊C4—611no—
1391C4⋊C4—611no—
1392C4⋊C4—611no—
1393C4⋊C4—611no—
1394C4⋊C4—611no—
1395C4⋊C4—611no—
1396C4⋊C4—611no—
1397C4⋊C4—611no—
1398C4⋊C4—611no—
1399C4⋊C4—611no—
1400C4⋊C4—611no—
1401C4⋊C4—611no—
1402C4⋊C4—611no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—1221no—
1407C4⋊C4—1221no—
1408C4⋊C4—1221no—
1409C4⋊C4—1221no—
1410C4⋊C4—1221no—
1411C4⋊C4—1221no—
1412C4⋊C4—1221no—
1413C4⋊C4—1221no—
1414C4⋊C4—1221no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊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⋊C4D4×D6111yescharacteristic
1440C4⋊C4D4×D6111yescharacteristic
1441C4⋊C4D4×D6111yescharacteristic
1442C4⋊C4C23×D6111yescharacteristic
1443C4⋊C4C23×D6111yescharacteristic
1444C4⋊C4C23×D6111yescharacteristic
1445C4⋊C4C23×D6111yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—611no—
1453C22⋊C4—611no—
1454C22⋊C4—611no—
1455C22⋊C4—611no—
1456C22⋊C4—1221no—
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—
1473C42—611no—
1474C42—611no—
1475C42—611no—
1476C42—611no—
1477C42—611no—
1478C42—1221no—
1479C42—1221no—
1480C42—1221no—
1481C42—1221no—
1482C42—1221no—
1483C42—1221no—
1484C42—1221no—
1485C42C23×D6111yescharacteristic
1486C42C23×D6111yescharacteristic
1487C42C23×D6111yescharacteristic
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—611no—
1493C23—1221no—
1494Q8—41no—
1495Q8—81no—
1496Q8—612no—
1497Q8—1221no—
1498Q8—4881no—
1499Q8—4881no—
1500Q8—4881no—
1501Q8—4881no—
1502Q8—4881no—
1503Q8—2441no—
1504Q8—2441no—
1505Q8—2441no—
1506D4—21no—
1507D4—21no—
1508D4—21no—
1509D4—21no—
1510D4—21no—
1511D4—21no—
1512D4—21no—
1513D4—42no—
1514D4—81no—
1515D4—81no—
1516D4—81no—
1517D4—81no—
1518D4—81no—
1519D4—1224no—
1520D4—1221no—
1521D4—1221no—
1522D4—4881no—
1523D4—4881no—
1524D4—4881no—
1525D4—4881no—
1526D4—4881no—
1527D4—4881no—
1528D4—4881no—
1529D4—4881no—
1530D4—4881no—
1531D4—2442no—
1532D4#1451982412yes—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—42no—
1538C2×C4—81no—
1539C2×C4—81no—
1540C2×C4—81no—
1541C2×C4—81no—
1542C2×C4—81no—
1543C2×C4—611no—
1544C2×C4—611no—
1545C2×C4—611no—
1546C2×C4—611no—
1547C2×C4—611no—
1548C2×C4—611no—
1549C2×C4—611no—
1550C2×C4—1224no—
1551C2×C4—1221no—
1552C2×C4—1221no—
1553C2×C4—1221no—
1554C2×C4—1221no—
1555C2×C4—1221no—
1556C2×C4—1221no—
1557C2×C4—1221no—
1558C2×C4—1221no—
1559C2×C4—1221no—
1560C2×C4—4881no—
1561C2×C4—4881no—
1562C2×C4—4881no—
1563C2×C4—4881no—
1564C2×C4—4881no—
1565C2×C4—4881no—
1566C2×C4—4881no—
1567C2×C4—4881no—
1568C2×C4—4881no—
1569C2×C4—4881no—
1570C2×C4—4881no—
1571C2×C4—2441no—
1572C2×C4—2441no—
1573C2×C4—2442no—
1574C2×C4—2442no—
1575C2×C4—2442no—
1576C2×C4C2×D4×D6111yescharacteristic
1577C2×C4C2×D4×D6111yescharacteristic
1578C2×C4C2×D4×D6111yescharacteristic
1579C2×C4C2×D4×D6111yescharacteristic
1580C2×C4C2×D4×D6111yescharacteristic
1581C2×C4C2×D4×D6111yescharacteristic
1582C2×C4C24×D6111yescharacteristic
1583C8—21no—
1584C8—21no—
1585C8—21no—
1586C8—21no—
1587C8—1221no—
1588C8—1221no—
1589C8—1221no—
1590C8—1221no—
1591C22—22no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—1221no—
1604C22—1221no—
1605C22—1221no—
1606C22—2441no—
1607C22—2441no—
1608C22—2441no—
1609C22C22×D4×D6111yescharacteristic
1610C4—21no—
1611C4—21no—
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—1221no—
1621C4—1222no—
1622C4—1221no—
1623C4—1221no—
1624C4—1221no—
1625C4—1221no—
1626C4—1221no—
1627C4—1221no—
1628C4—2441no—
1629C4—2441no—
1630C4—2441no—
1631C4—2441no—
1632C4—2441no—
1633C4—2441no—
1634C42−1+4×D6111yescharacteristic
1635C4C2×#1451982411yescharacteristic
1636C2—42no—
1637C2—81no—
1638C2—81no—
1639C2—81no—
1640C2—4881no—
1641C2—2441no—
1642C2#2145946511yescharacteristic
1643C2#2146059411yescharacteristic
1644C2#2146059511yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3366C2
socleC22×C61C23×D4
hypercenter#3366D61
hypocenterC61#61876
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3366

Complements

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

NH ≅ G/Ntype
1. #21460212C2semidirect
2. #21459639C2semidirect
3. #21458778C2semidirect
4. #21458778C2semidirect
5. #21458775C2semidirect
6. #21458773C2semidirect
7. #21458768C2semidirect
8. #21458766C2semidirect
9. #21458761C2semidirect
10. #21458757C2semidirect
11. #21458553C2semidirect
12. #21458545C2semidirect
13. #21458545C2semidirect
14. #21458544C2semidirect
15. #21458530C2semidirect
16. #21458521C2semidirect
17. #21458521C2semidirect
18. #21457077C2semidirect
19. #21457071C2semidirect
20. #21457067C2semidirect
21. #21457065C2semidirect
22. #21457007C2semidirect
23. #21457004C2semidirect
24. #21456022C2semidirect
25. #21456015C2semidirect
26. #21456015C2semidirect
27. #21456014C2semidirect
28. #21455967C2semidirect
29. #21455966C2semidirect
30. #21454922C2semidirect
31. C61×#3366C2semidirect
831. #3366D61semidirect
1025. C61#61876semidirect

Maximal subgroups

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

subgroupindex
#214602122
#214596392
#214587782
#214587752
#214587732
#214587682
#214587662
#214587612
#214587572
#214585532
#214585452
#214585442
#214585302
#214585212
#214570772
#214570712
#214570672
#214570652
#214570072
#214570042
#214560222
#214560152
#214560142
#214559672
#214559662
#214549222
C61×#33662
#6187661