Finite Group Databasebeta

← #30560755

Subgroups — #30560755

Order 15616.

1674 conjugacy classes of subgroups.

The subgroup lattice has 1550 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459628C211yesmaximal, characteristic
2#21459626C211yesmaximal, characteristic
3#21458788C211yesmaximal, characteristic, complemented
4#21458787C211yesmaximal, characteristic, complemented
5#21458786C211yesmaximal, characteristic, complemented
6#21458785C211yesmaximal, characteristic, complemented
7#21458784C211yesmaximal, characteristic, complemented
8#21458783C211yesmaximal, characteristic, complemented
9#21458782C211yesmaximal, characteristic, complemented
10#21458781C211yesmaximal, characteristic, complemented
11#21458756C211yesmaximal, characteristic, complemented
12#21458752C211yesmaximal, characteristic, complemented
13#21458750C211yesmaximal, characteristic, complemented
14#21458748C211yesmaximal, characteristic, complemented
15#21458747C211yesmaximal, characteristic, complemented
16#21458746C211yesmaximal, characteristic, complemented
17#21458746C211yesmaximal, characteristic, complemented
18#21456346C211yesmaximal, characteristic
19#21456344C211yesmaximal, characteristic
20#21456340C211yesmaximal, characteristic
21#21455660C211yesmaximal, characteristic
22#21455656C211yesmaximal, characteristic
23#21455654C211yesmaximal, characteristic
24#21455654C211yesmaximal, characteristic
25#21455622C211yesmaximal, characteristic
26#21455619C211yesmaximal, characteristic
27#21454755C211yesmaximal, characteristic
28#21454684C211yesmaximal, characteristic
29#21454682C211yesmaximal, characteristic
30#441×D61C211yesmaximal, characteristic
31C61×#3387C211yesmaximal, characteristic, complemented
32C2×Q16×D61C2211yescharacteristic
33Q8×Dic122C2211yescharacteristic
34#16840492—21no—
35#16840492—21no—
36#16840492C2211yescharacteristic
37#16840492C2211yescharacteristic
38#16840491C2211yescharacteristic
39#16840490—21no—
40#16840490—21no—
41#16840490C2211yescharacteristic
42#16840490C2211yescharacteristic
43#16840489—21no—
44#16840489—21no—
45#16840489C2211yescharacteristic
46#16840489C2211yescharacteristic
47#16840488C2211yescharacteristic
48#16840488C2211yescharacteristic
49#16840488C2211yescharacteristic
50#16840488C2211yescharacteristic
51#16840487—21no—
52#16840487—21no—
53#16840487C2211yescharacteristic
54#16840487C2211yescharacteristic
55#16840392—21no—
56#16840392C2211yescharacteristic
57#16840389—21no—
58#16840389—21no—
59#16840389—21no—
60#16840389C2211yescharacteristic
61#16840389C2211yescharacteristic
62#16840389C2211yescharacteristic
63#16840318—21no—
64#16840318C2211yescharacteristic
65#16840317—21no—
66#16840317C2211yescharacteristic
67#16840316—21no—
68#16840316—21no—
69#16840316C2211yescharacteristic
70#16840238C2211yescharacteristic
71#16840238C2211yescharacteristic
72#16840238C2211yescharacteristic
73#16840238C2211yescharacteristic
74C4×Q8×D61C2211yescharacteristic
75C4×Q8×D61C2211yescharacteristic
76#16840172C2211yescharacteristic
77#16840171C2211yescharacteristic
78#16840171C2211yescharacteristic
79#16840170C2211yescharacteristic
80#16840170C2211yescharacteristic
81#16840170C2211yescharacteristic
82#16840169C2211yescharacteristic
83#16840169C2211yescharacteristic
84#16840169C2211yescharacteristic
85#16840169C2211yescharacteristic
86#16840169C2211yescharacteristic
87#16840168C2211yescharacteristic
88#16840168C2211yescharacteristic
89#16840168C2211yescharacteristic
90#16840164C2211yescharacteristic
91#16840163C2211yescharacteristic
92#16840162C2211yescharacteristic
93#16840161C2211yescharacteristic
94#16840159C2211yescharacteristic
95#16840159C2211yescharacteristic
96#16840158C2211yescharacteristic
97#16840072C2211yescharacteristic
98#16840072C2211yescharacteristic
99#16840072C2211yescharacteristic
100#16840072C2211yescharacteristic
101#16840071C2211yescharacteristic
102#16840071C2211yescharacteristic
103#16840071C2211yescharacteristic
104#16840071C2211yescharacteristic
105#16840070C2211yescharacteristic
106#16840070C2211yescharacteristic
107#16840070C2211yescharacteristic
108#16840070C2211yescharacteristic
109#16840069C2211yescharacteristic
110#16840069C2211yescharacteristic
111#16840069C2211yescharacteristic
112#16840069C2211yescharacteristic
113#16840068C2211yescharacteristic
114#16840068C2211yescharacteristic
115#16840067C2211yescharacteristic
116#16840067C2211yescharacteristic
117#16840066C2211yescharacteristic
118#16840066C2211yescharacteristic
119#16840058C2211yescharacteristic
120#16840058C2211yescharacteristic
121#16840057C2211yescharacteristic
122#16840056C2211yescharacteristic
123#16840056C2211yescharacteristic
124#16840055C2211yescharacteristic
125#16840055C2211yescharacteristic
126#16840055C2211yescharacteristic
127#16840055C2211yescharacteristic
128#16840054C2211yescharacteristic
129#16840054C2211yescharacteristic
130#16840047C2211yescharacteristic
131#16840046C2211yescharacteristic
132#16840046C2211yescharacteristic
133#16840046C2211yescharacteristic
134#16840046C2211yescharacteristic
135#16840045C2211yescharacteristic
136#16840045C2211yescharacteristic
137#16840044C2211yescharacteristic
138#16840044C2211yescharacteristic
139#16839893C2211yescharacteristic
140#16839892C2211yescharacteristic
141#16839891C2211yescharacteristic
142#16839891C2211yescharacteristic
143#16839890C2211yescharacteristic
144#16839890C2211yescharacteristic
145#16839889C2211yescharacteristic
146#16839870C2211yescharacteristic
147#16839870C2211yescharacteristic
148#16839869C2211yescharacteristic
149#16839869C2211yescharacteristic
150#16839868C2211yescharacteristic
151#16839868C2211yescharacteristic
152#16839867C2211yescharacteristic
153#16839867C2211yescharacteristic
154#16839867C2211yescharacteristic
155#16839867C2211yescharacteristic
156#16839866C2211yescharacteristic
157#16839866C2211yescharacteristic
158#16839866C2211yescharacteristic
159#16839866C2211yescharacteristic
160C4×Dic244C2211yescharacteristic
161Q16×Dic61C2211yescharacteristic
162#16839856C2211yescharacteristic
163C4×#11758202C2211yescharacteristic
164C4×#11758202C2211yescharacteristic
165#16839854C2211yescharacteristic
166#16839854C2211yescharacteristic
167#16839803C2211yescharacteristic
168#16839801C2211yescharacteristic
169#16839801C2211yescharacteristic
170#16839801C2211yescharacteristic
171#16839799C2211yescharacteristic
172#16839799C2211yescharacteristic
173#16839797C2211yescharacteristic
174#16839797C2211yescharacteristic
175#106×D61C2211yescharacteristic
176#16839787C2211yescharacteristic
177#16839787C2211yescharacteristic
178#16839784C2211yescharacteristic
179#16839769C2211yescharacteristic
180#16839769C2211yescharacteristic
181#16839769C2211yescharacteristic
182#16839769C2211yescharacteristic
183#103×D61C2211yescharacteristic
184#103×D61C2211yescharacteristic
185#16839719C2211yescharacteristic
186#16839716C2211yescharacteristic
187#97×D61C2211yescharacteristic
188Q82×C61C2211yescharacteristic
189C61×#557C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#501C2211yescharacteristic
192C61×#498C2211yescharacteristic
193C61×#479C2211yescharacteristic
194C61×#479C2211yescharacteristic
195C61×#477C2211yescharacteristic
196C61×#475C2211yescharacteristic
197C61×#475C2211yescharacteristic
198C61×#475C2211yescharacteristic
199C61×#446C2211yescharacteristic
200C61×#441C2211yescharacteristic
201C61×#441C2211yescharacteristic
202C4×Q16×C61C2211yescharacteristic
203C2×Q8×D61C2311yescharacteristic
204C2×Q8×D61C2311yescharacteristic
205C2×Dic244C2311yescharacteristic
206C2×#11758202C2311yescharacteristic
207C2×#11758202C2311yescharacteristic
208Q16×D61Q818yescomplemented
209C2×#11758189C2311yescharacteristic
210C2×#11758189C2311yescharacteristic
211C2×C8×D61C2311yescharacteristic
212C2×C8×D61C2311yescharacteristic
213#14519777—21no—
214#14519777—21no—
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#14519776—21no—
228#14519776D411yescharacteristic
229#14519776C2311yescharacteristic
230#14519776C2311yescharacteristic
231#14519776C2311yescharacteristic
232#14519776C2311yescharacteristic
233#14519776C2311yescharacteristic
234#14519776C2311yescharacteristic
235#14519775—21no—
236#14519775—21no—
237#14519775—21no—
238#14519775—21no—
239#14519775—21no—
240#14519775—21no—
241#14519775—21no—
242#14519775—21no—
243#14519775—21no—
244#14519775—21no—
245#14519775—21no—
246#14519775D411yescharacteristic
247#14519769—21no—
248#14519769—21no—
249#14519769—21no—
250#14519769—21no—
251#14519769C2311yescharacteristic
252#14519769C2311yescharacteristic
253#14519769C2311yescharacteristic
254#14519769C2311yescharacteristic
255#14519768—21no—
256#14519768—21no—
257#14519768—21no—
258#14519768—21no—
259#14519768—21no—
260#14519768—21no—
261#14519768C2311yescharacteristic
262#14519768C2311yescharacteristic
263#14519768C2311yescharacteristic
264#14519768C2311yescharacteristic
265#14519768C2311yescharacteristic
266#14519768C2311yescharacteristic
267#14519767—21no—
268#14519767—21no—
269#14519767—21no—
270#14519767—21no—
271#14519767—21no—
272#14519767—21no—
273#14519767—21no—
274#14519767—21no—
275#14519767—21no—
276#14519767—21no—
277#14519767—21no—
278#14519767—21no—
279#14519767—21no—
280#14519767—21no—
281#14519767—21no—
282#14519767—21no—
283#14519767D411yescharacteristic
284#14519767D411yescharacteristic
285#14519757—21no—
286#14519757—21no—
287#14519757D411yescharacteristic
288#14519755—21no—
289#14519755—21no—
290#14519755—21no—
291#14519755—21no—
292#14519755—21no—
293#14519755—21no—
294#14519755D411yescharacteristic
295#14519755D411yescharacteristic
296#14519753—21no—
297#14519753—21no—
298#14519753—21no—
299#14519753—21no—
300#14519753D411yescharacteristic
301Q8×Dic61—21no—
302Q8×Dic61—21no—
303Q8×Dic61—21no—
304Q8×Dic61C2311yescharacteristic
305Q8×Dic61C2311yescharacteristic
306Q8×Dic61C2311yescharacteristic
307Q8×Dic61C2311yescharacteristic
308Q8×Dic61C2311yescharacteristic
309Q8×Dic61C2311yescharacteristic
310C4×Dic122—21no—
311C4×Dic122—21no—
312C4×Dic122—21no—
313C4×Dic122—21no—
314C4×Dic122—21no—
315C4×Dic122—21no—
316C4×Dic122—21no—
317C4×Dic122—21no—
318C4×Dic122—21no—
319C4×Dic122—21no—
320C4×Dic122—21no—
321C4×Dic122—21no—
322C4×Dic122C2311yescharacteristic
323C4×Dic122C2311yescharacteristic
324C4×Dic122C2311yescharacteristic
325C4×Dic122C2311yescharacteristic
326C4×Dic122C2311yescharacteristic
327C4×Dic122C2311yescharacteristic
328C4×Dic122C2311yescharacteristic
329C4×Dic122C2311yescharacteristic
330C4×Dic122C2311yescharacteristic
331#14519742—21no—
332#14519742—21no—
333#14519742—21no—
334#14519742—21no—
335#14519742—21no—
336#14519742—21no—
337#14519742—21no—
338#14519742—21no—
339#14519742—21no—
340#14519742—21no—
341#14519742—21no—
342#14519742—21no—
343#14519742—21no—
344#14519742—21no—
345#14519742—21no—
346#14519742C2311yescharacteristic
347#14519742C2311yescharacteristic
348#14519742C2311yescharacteristic
349#14519742C2311yescharacteristic
350#14519742C2311yescharacteristic
351#14519742C2311yescharacteristic
352#14519735—21no—
353#14519735—21no—
354#14519735—21no—
355#14519735—21no—
356#14519735C2311yescharacteristic
357#14519735C2311yescharacteristic
358#14519735C2311yescharacteristic
359#14519735C2311yescharacteristic
360#14519734—21no—
361#14519734—21no—
362#14519734—21no—
363#14519734—21no—
364#14519734C2311yescharacteristic
365#14519734C2311yescharacteristic
366C4⋊C4×D61—21no—
367C4⋊C4×D61—21no—
368C4⋊C4×D61C2311yescharacteristic
369C4⋊C4×D61C2311yescharacteristic
370C42×D61—21no—
371C42×D61—21no—
372C42×D61C2311yescharacteristic
373#14519711C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519709C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397#14519708C2311yescharacteristic
398#14519708C2311yescharacteristic
399#14519708C2311yescharacteristic
400C4⋊#92418C2311yescharacteristic
401C4⋊#92418C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519702C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519701C2311yescharacteristic
419#14519701C2311yescharacteristic
420#14519701C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519700C2311yescharacteristic
425#14519700C2311yescharacteristic
426#14519700C2311yescharacteristic
427#14519688C2311yescharacteristic
428#14519688C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C4×#92418C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C2×Q16×C61C2311yescharacteristic
437C4⋊Q8×C61—21no—
438C4⋊Q8×C61—21no—
439C4⋊Q8×C61—21no—
440C4⋊Q8×C61—21no—
441C4⋊Q8×C61C2311yescharacteristic
442C4⋊Q8×C61C2311yescharacteristic
443C4⋊Q8×C61C2311yescharacteristic
444C4⋊Q8×C61C2311yescharacteristic
445#125×C61—21no—
446#125×C61—21no—
447#125×C61C2311yescharacteristic
448#125×C61C2311yescharacteristic
449C4×Q8×C61—21no—
450C4×Q8×C61—21no—
451C4×Q8×C61C2311yescharacteristic
452C4×Q8×C61C2311yescharacteristic
453C4×Q8×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×Q8×C61C2311yescharacteristic
457C4×Q8×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#106×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469C4⋊C8×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C4×C8×C61C2311yescharacteristic
479C2×Q8×C61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61—21no—
482C2×Q8×C61—21no—
483C2×Q8×C61C2×D411yescharacteristic
484C2×Q8×C61C2411yescharacteristic
485C2×Q8×C61C2411yescharacteristic
486Q8×D61—22no—
487Q8×D61—22no—
488Q8×D61C2×Q814yes—
489Q8×D61C2×Q814yes—
490C2×C4×D61—21no—
491C2×C4×D61—21no—
492C2×C4×D61—21no—
493C2×C4×D61—21no—
494C2×C4×D61C2×D411yescharacteristic
495C2×C4×D61C2×D411yescharacteristic
496C2×C4×D61C2411yescharacteristic
497C2×Dic122—21no—
498C2×Dic122—21no—
499C2×Dic122—21no—
500C2×Dic122—21no—
501C2×Dic122—21no—
502C2×Dic122—21no—
503C2×Dic122—21no—
504C2×Dic122—21no—
505C2×Dic122—21no—
506C2×Dic122—21no—
507C2×Dic122C2×D411yescharacteristic
508C2×Dic122C2×D411yescharacteristic
509C2×Dic122C2×D411yescharacteristic
510C2×Dic122C2411yescharacteristic
511C2×Dic122C2411yescharacteristic
512Q16×C61C2×Q814yes—
513C2×C8×C61C2411yescharacteristic
514C2×C8×C61C2411yescharacteristic
515C2×C8×C61C2411yescharacteristic
516C2×C8×C61C2411yescharacteristic
517C4⋊C4×C61—21no—
518C4⋊C4×C61—21no—
519C4⋊C4×C61—21no—
520C4⋊C4×C61—21no—
521C4⋊C4×C61—21no—
522C4⋊C4×C61—21no—
523C4⋊C4×C61—21no—
524C4⋊C4×C61—21no—
525C4⋊C4×C61—21no—
526C4⋊C4×C61—21no—
527C4⋊C4×C61—21no—
528C4⋊C4×C61—21no—
529C4⋊C4×C61—21no—
530C4⋊C4×C61—21no—
531C4⋊C4×C61C2×D411yescharacteristic
532C4⋊C4×C61C2×D411yescharacteristic
533C4⋊C4×C61C2×D411yescharacteristic
534C4⋊C4×C61C2411yescharacteristic
535C4⋊C4×C61C2411yescharacteristic
536C4⋊C4×C61C2411yescharacteristic
537C4⋊C4×C61C2411yescharacteristic
538C4⋊C4×C61C2411yescharacteristic
539C4⋊C4×C61C2411yescharacteristic
540C42×C61—21no—
541C42×C61—21no—
542C42×C61—21no—
543C42×C61—21no—
544C42×C61—21no—
545C42×C61—21no—
546C42×C61C2411yescharacteristic
547C42×C61C2411yescharacteristic
548C42×C61C2411yescharacteristic
549#11758202C2×Q814yes—
550#11758202C2×Q814yes—
551#11758198—21no—
552#11758198—21no—
553#11758198—21no—
554#11758198—21no—
555#11758198C2×D411yescharacteristic
556#11758198C2×D411yescharacteristic
557#11758198C2×D411yescharacteristic
558#11758198C2×D411yescharacteristic
559C4⋊Dic61—21no—
560C4⋊Dic61—21no—
561C4⋊Dic61—21no—
562C4⋊Dic61—21no—
563C4⋊Dic61—21no—
564C4⋊Dic61—21no—
565C4⋊Dic61—21no—
566C4⋊Dic61—21no—
567C4⋊Dic61—21no—
568C4⋊Dic61—21no—
569C4⋊Dic61—21no—
570C4⋊Dic61—21no—
571C4⋊Dic61—21no—
572C4⋊Dic61—21no—
573C4⋊Dic61C2×D411yescharacteristic
574C4⋊Dic61C2×D411yescharacteristic
575C4⋊Dic61C2×D411yescharacteristic
576C4⋊Dic61C2411yescharacteristic
577C4⋊Dic61C2411yescharacteristic
578C4⋊Dic61C2411yescharacteristic
579C4⋊Dic61C2411yescharacteristic
580C4⋊Dic61C2411yescharacteristic
581C4⋊Dic61C2411yescharacteristic
582#11758196—21no—
583#11758196—21no—
584#11758196—21no—
585#11758196—21no—
586#11758196—21no—
587#11758196—21no—
588#11758196—21no—
589#11758196—21no—
590#11758196—21no—
591#11758196—21no—
592#11758196—21no—
593#11758196—21no—
594#11758196—21no—
595#11758196—21no—
596#11758196—21no—
597#11758196—21no—
598#11758196—21no—
599#11758196—21no—
600#11758196—21no—
601#11758196—21no—
602#11758196—21no—
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#11758196C2×D411yescharacteristic
617#11758196C2×D411yescharacteristic
618#11758196C2×D411yescharacteristic
619#11758196C2×D411yescharacteristic
620#11758196C2×D411yescharacteristic
621#11758196C2×D411yescharacteristic
622#11758196C2×D411yescharacteristic
623#11758196C2×D411yescharacteristic
624#11758196C2×D411yescharacteristic
625#11758196C2×D411yescharacteristic
626C4×Dic61—21no—
627C4×Dic61—21no—
628C4×Dic61—21no—
629C4×Dic61—21no—
630C4×Dic61—21no—
631C4×Dic61—21no—
632C4×Dic61—21no—
633C4×Dic61—21no—
634C4×Dic61—21no—
635C4×Dic61—21no—
636C4×Dic61—21no—
637C4×Dic61—21no—
638C4×Dic61—21no—
639C4×Dic61—21no—
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×Dic61C2×D411yescharacteristic
649C4×Dic61C2×D411yescharacteristic
650C4×Dic61C2411yescharacteristic
651C4×Dic61C2411yescharacteristic
652C4×Dic61C2411yescharacteristic
653C2×#92418C2411yescharacteristic
654C2×#92418C2411yescharacteristic
655C2×#92418C2411yescharacteristic
656C2×#92418C2411yescharacteristic
657Dic244C2×Q814yes—
658#11758189—22no—
659#11758189—22no—
660C8×D61—22no—
661C8×D61C2×Q814yes—
662C22×D61C22×D411yescharacteristic
663Q8×C61—21no—
664Q8×C61—21no—
665Q8×C61—41no—
666Q8×C61—81no—
667Q8×C61—81no—
668Q8×C61—81no—
669Q8×C61—81no—
670Q8×C61C22×Q812yes—
671Q8×C61C22×Q812yes—
672C2×C4×C61—21no—
673C2×C4×C61—21no—
674C2×C4×C61—21no—
675C2×C4×C61—21no—
676C2×C4×C61—21no—
677C2×C4×C61—21no—
678C2×C4×C61—21no—
679C2×C4×C61—21no—
680C2×C4×C61C22×D411yescharacteristic
681C2×C4×C61C22×D411yescharacteristic
682C2×C4×C61C22×D411yescharacteristic
683C2×C4×C61C22×D411yescharacteristic
684C2×C4×C61C22×D411yescharacteristic
685C2×C4×C61C22×D411yescharacteristic
686C2×C4×C61C2511yescharacteristic
687C2×Dic61—21no—
688C2×Dic61—21no—
689C2×Dic61—21no—
690C2×Dic61—21no—
691C2×Dic61—21no—
692C2×Dic61—21no—
693C2×Dic61—21no—
694C2×Dic61—21no—
695C2×Dic61C22×D411yescharacteristic
696C2×Dic61C22×D411yescharacteristic
697C2×Dic61C22×D411yescharacteristic
698C2×Dic61C22×D411yescharacteristic
699C2×Dic61C22×D411yescharacteristic
700C2×Dic61C22×D411yescharacteristic
701C2×Dic61C22×D411yescharacteristic
702C4×D61—24no—
703C4×D61—24no—
704C4×D61—41no—
705C4×D61—41no—
706C4×D61—81no—
707C4×D61—81no—
708C4×D61C22×Q812yes—
709C4×D612−1+412yes—
710Dic122—21no—
711Dic122—21no—
712Dic122—24no—
713Dic122—24no—
714Dic122—41no—
715Dic122—41no—
716Dic122—41no—
717Dic122—42no—
718Dic122—42no—
719Dic122—81no—
720Dic122—81no—
721Dic122—81no—
722Dic122—81no—
723Dic122—81no—
724Dic122—81no—
725Dic122C22×Q812yes—
726Dic122C22×Q812yes—
727C8×C61—21no—
728C8×C61—21no—
729C8×C61—21no—
730C8×C61C22×Q812yes—
731#92418—21no—
732#92418—21no—
733#92418—21no—
734#92418C22×Q812yes—
735#61379—611nomaximal, Sylow
736C22×C61C23×D411yescharacteristic
737C2×D61—21no—
738C2×D61—21no—
739C2×D61D4×Q812yes—
740C4×C61—21no—
741C4×C61—21no—
742C4×C61—21no—
743C4×C61—21no—
744C4×C61—21no—
745C4×C61—21no—
746C4×C61—22no—
747C4×C61—22no—
748C4×C61—41no—
749C4×C61—41no—
750C4×C61—41no—
751C4×C61—41no—
752C4×C61—41no—
753C4×C61—41no—
754C4×C61C23×Q811yescharacteristic
755C4×C61C2×2−1+411yescharacteristic
756Dic61—21no—
757Dic61—21no—
758Dic61—21no—
759Dic61—21no—
760Dic61—21no—
761Dic61—21no—
762Dic61—22no—
763Dic61—22no—
764Dic61—41no—
765Dic61—41no—
766Dic61—41no—
767Dic61—41no—
768Dic61—41no—
769Dic61—41no—
770Dic61D4×Q812yes—
771#3502—611no—
772#3502—611no—
773#3390—611no—
774#3390—611no—
775#3390—611no—
776#3390—611no—
777#3390—611no—
778#3390—611no—
779#3390—611no—
780#3390—611no—
781#3387—611no—
782#3387—611no—
783#3387—611no—
784#3387—611no—
785#3387—611no—
786#3387—611no—
787#3387—611no—
788#3387D6111yescharacteristic, complemented
789#3163—611no—
790#3163—611no—
791#3162—611no—
792#3082—611no—
793#3082—611no—
794#3082—611no—
795#3082—611no—
796#3078—611no—
797#3078—611no—
798#2961—611no—
799#2950—611no—
800#2950—611no—
801C2×#441—611no—
802C2×C61C2×D4×Q811yescharacteristic
803C2×C61#358611yescharacteristic
804C2×C61#358611yescharacteristic
805D61—22no—
806C22×Q16—611no—
807Q82—611no—
808Q82—611no—
809Q82—611no—
810Q82—1221no—
811Q82—1221no—
812Q82C2×D6111yescharacteristic
813#557—611no—
814#557—611no—
815#557—611no—
816#557—611no—
817#557—611no—
818#557—611no—
819#557—611no—
820#557—611no—
821#557—611no—
822#557—611no—
823#557—611no—
824#557—1221no—
825#557—1221no—
826#557—1221no—
827#557—1221no—
828#557—1221no—
829#557—1221no—
830#557C2×D6111yescharacteristic
831#544—611no—
832#544—611no—
833#544—611no—
834#544—611no—
835#544—1221no—
836#544—1221no—
837#544—1221no—
838#544—1221no—
839#533—611no—
840#533—611no—
841#533—611no—
842#533—1221no—
843#533—1221no—
844#533—1221no—
845#533—1221no—
846#519—611no—
847#519—611no—
848#519—611no—
849#519—611no—
850C2×C4×Q8—611no—
851C2×C4×Q8—611no—
852#501—611no—
853#501—611no—
854#501—611no—
855#501—611no—
856#501—611no—
857#501—611no—
858#501—611no—
859#501—611no—
860#501—611no—
861#501—611no—
862#501—611no—
863#501—611no—
864#501—611no—
865#501—611no—
866#501C2×D6111yescharacteristic
867#501C2×D6111yescharacteristic
868#499—611no—
869#499—611no—
870#499—611no—
871#499—611no—
872#498—611no—
873#498—611no—
874#498—611no—
875#498C2×D6111yescharacteristic
876#479—611no—
877#479—611no—
878#479—611no—
879#479—611no—
880#479—611no—
881#479—611no—
882#479—611no—
883#479—611no—
884#479—611no—
885#479—611no—
886#479—611no—
887#479—611no—
888#479—611no—
889#479—611no—
890#479—611no—
891#479—611no—
892#479—611no—
893#479—611no—
894#479—611no—
895#479—611no—
896#479—611no—
897#479—611no—
898#479C2×D6111yescharacteristic
899#479C2×D6111yescharacteristic
900#477—611no—
901#477—611no—
902#477—611no—
903#477—611no—
904#477—611no—
905#477—611no—
906#477—611no—
907#477—611no—
908#477—611no—
909#477—611no—
910#477—611no—
911#477C2×D6111yescharacteristic
912#475—611no—
913#475—611no—
914#475—611no—
915#475—611no—
916#475—611no—
917#475—611no—
918#475—611no—
919#475—611no—
920#475—611no—
921#475C2×D6111yescharacteristic
922#475C2×D6111yescharacteristic
923#475C2×D6111yescharacteristic
924#446—611no—
925#446—611no—
926#446—611no—
927#446—611no—
928#446—611no—
929#446—611no—
930#446—611no—
931#446C2×D6111yescharacteristic
932#441—611no—
933#441—611no—
934#441—611no—
935#441—611no—
936#441—611no—
937#441—611no—
938#441—611no—
939#441—611no—
940#441—611no—
941#441—611no—
942#441—611no—
943#441—611no—
944#441—611no—
945#441—611no—
946#441C2×D6111yescharacteristic
947#441C2×D6111yescharacteristic
948C4×Q16—611no—
949C4×Q16—611no—
950C4×Q16—611no—
951C4×Q16—611no—
952C4×Q16—611no—
953C4×Q16—611no—
954C4×Q16—611no—
955C4×Q16C2×D6111yescharacteristic
956#428—611no—
957#428—611no—
958#428—611no—
959#428—611no—
960#427—611no—
961#427—611no—
962#427—611no—
963#427—611no—
964C2×#106—611no—
965#424—611no—
966#424—611no—
967#423—611no—
968#419—611no—
969#419—611no—
970#419—611no—
971#419—611no—
972C2×#103—611no—
973C2×#103—611no—
974#405—611no—
975#405—611no—
976C2×#97—611no—
977C61#6137911yescharacteristic, complemented, Sylow
978C22×Q8—611no—
979C22×Q8—611no—
980C2×Q16—611no—
981C2×Q16—611no—
982C2×Q16—618no—
983C2×Q16—611no—
984C2×Q16C22×D6111yescharacteristic
985C2×M16—611no—
986C2×M16—611no—
987C22×C8—611no—
988C22×C8—611no—
989C4⋊Q8—21no—
990C4⋊Q8—21no—
991C4⋊Q8—21no—
992C4⋊Q8—21no—
993C4⋊Q8—611no—
994C4⋊Q8—611no—
995C4⋊Q8—611no—
996C4⋊Q8—611no—
997C4⋊Q8—611no—
998C4⋊Q8—611no—
999C4⋊Q8—611no—
1000C4⋊Q8—611no—
1001C4⋊Q8—611no—
1002C4⋊Q8—611no—
1003C4⋊Q8—1221no—
1004C4⋊Q8—1221no—
1005C4⋊Q8—1221no—
1006C4⋊Q8—1221no—
1007C4⋊Q8—1221no—
1008C4⋊Q8—1221no—
1009C4⋊Q8—1221no—
1010C4⋊Q8—1221no—
1011C4⋊Q8—1221no—
1012C4⋊Q8—1221no—
1013C4⋊Q8—1221no—
1014C4⋊Q8—1221no—
1015C4⋊Q8—1221no—
1016C4⋊Q8—1221no—
1017C4⋊Q8—1221no—
1018C4⋊Q8—1221no—
1019C4⋊Q8—1221no—
1020C4⋊Q8—1221no—
1021C4⋊Q8—1221no—
1022C4⋊Q8—1221no—
1023C4⋊Q8—1221no—
1024C4⋊Q8—1221no—
1025C4⋊Q8—1221no—
1026C4⋊Q8—1221no—
1027C4⋊Q8C22×D6111yescharacteristic
1028C4⋊Q8C22×D6111yescharacteristic
1029C4⋊Q8C22×D6111yescharacteristic
1030C4⋊Q8C22×D6111yescharacteristic
1031#125—21no—
1032#125—21no—
1033#125—611no—
1034#125—611no—
1035#125—611no—
1036#125—611no—
1037#125—611no—
1038#125—611no—
1039#125—611no—
1040#125—611no—
1041#125—611no—
1042#125—611no—
1043#125—611no—
1044#125—611no—
1045#125—1221no—
1046#125—1221no—
1047#125—1221no—
1048#125—1221no—
1049#125—1221no—
1050#125—1221no—
1051#125—1221no—
1052#125—1221no—
1053#125—1221no—
1054#125—1221no—
1055#125—1221no—
1056#125—1221no—
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#125—1221no—
1071#125C22×D6111yescharacteristic
1072#125C22×D6111yescharacteristic
1073C22⋊Q8—611no—
1074C22⋊Q8—611no—
1075C22⋊Q8—611no—
1076C22⋊Q8—611no—
1077C22⋊Q8—1221no—
1078C22⋊Q8—1221no—
1079C22⋊Q8—1221no—
1080C22⋊Q8—1221no—
1081C22⋊Q8—1221no—
1082C22⋊Q8—1221no—
1083C22⋊Q8—1221no—
1084C22⋊Q8—1221no—
1085C22⋊Q8—1221no—
1086C22⋊Q8—1221no—
1087C22⋊Q8—1221no—
1088C22⋊Q8—1221no—
1089C4×Q8—21no—
1090C4×Q8—21no—
1091C4×Q8—611no—
1092C4×Q8—611no—
1093C4×Q8—611no—
1094C4×Q8—611no—
1095C4×Q8—611no—
1096C4×Q8—611no—
1097C4×Q8—611no—
1098C4×Q8—611no—
1099C4×Q8—611no—
1100C4×Q8—611no—
1101C4×Q8—611no—
1102C4×Q8—611no—
1103C4×Q8—611no—
1104C4×Q8—611no—
1105C4×Q8—611no—
1106C4×Q8—611no—
1107C4×Q8—611no—
1108C4×Q8—611no—
1109C4×Q8—611no—
1110C4×Q8—611no—
1111C4×Q8—611no—
1112C4×Q8—1221no—
1113C4×Q8—1221no—
1114C4×Q8—1221no—
1115C4×Q8—1221no—
1116C4×Q8—1221no—
1117C4×Q8—1221no—
1118C4×Q8—1221no—
1119C4×Q8—1221no—
1120C4×Q8—1221no—
1121C4×Q8—1221no—
1122C4×Q8—1221no—
1123C4×Q8—1221no—
1124C4×Q8—1221no—
1125C4×Q8—1221no—
1126C4×Q8—1221no—
1127C4×Q8—1221no—
1128C4×Q8—1221no—
1129C4×Q8—1221no—
1130C4×Q8—1221no—
1131C4×Q8—1221no—
1132C4×Q8—1221no—
1133C4×Q8—1221no—
1134C4×Q8—1221no—
1135C4×Q8—1221no—
1136C4×Q8—1221no—
1137C4×Q8—1221no—
1138C4×Q8—1221no—
1139C4×Q8—1221no—
1140C4×Q8—1221no—
1141C4×Q8—1221no—
1142C4×Q8C22×D6111yescharacteristic
1143C4×Q8C22×D6111yescharacteristic
1144C4×Q8C22×D6111yescharacteristic
1145C4×Q8C22×D6111yescharacteristic
1146C4×Q8C22×D6111yescharacteristic
1147C4×Q8C22×D6111yescharacteristic
1148C4×Q8C22×D6111yescharacteristic
1149#117—611no—
1150#117—611no—
1151#117—611no—
1152#117—611no—
1153#117—611no—
1154#117—611no—
1155#117—1221no—
1156#117—1221no—
1157#117—1221no—
1158#117—1221no—
1159#117—1221no—
1160#117—1221no—
1161#117—1221no—
1162#117—1221no—
1163C2×C4⋊C4—611no—
1164C2×C4⋊C4—611no—
1165C2×C4⋊C4—1221no—
1166C2×C4⋊C4—1221no—
1167C2×C42—611no—
1168C2×C42—1221no—
1169C2×C42—1221no—
1170#107—611no—
1171#107—611no—
1172#107—611no—
1173#107—611no—
1174#107—611no—
1175#107—611no—
1176#107—611no—
1177#107—611no—
1178#107—611no—
1179#107—611no—
1180#107—611no—
1181#107—611no—
1182#107—611no—
1183#107C22×D6111yescharacteristic
1184#107C22×D6111yescharacteristic
1185#107C22×D6111yescharacteristic
1186#106—611no—
1187#106—611no—
1188#106—611no—
1189#106—611no—
1190#106—611no—
1191#106—611no—
1192#106—611no—
1193#106—611no—
1194#106—611no—
1195#106—611no—
1196#106—611no—
1197#106—611no—
1198#106—611no—
1199#106—611no—
1200#106C22×D6111yescharacteristic
1201#106C22×D6111yescharacteristic
1202#106C22×D6111yescharacteristic
1203#106C22×D6111yescharacteristic
1204#106C22×D6111yescharacteristic
1205#106C22×D6111yescharacteristic
1206C4⋊C8—611no—
1207C4⋊C8—611no—
1208C4⋊C8—611no—
1209C4⋊C8—611no—
1210C4⋊C8—611no—
1211C4⋊C8—611no—
1212C4⋊C8—611no—
1213C4⋊C8—611no—
1214C4⋊C8—611no—
1215C4⋊C8C22×D6111yescharacteristic
1216C4⋊C8C22×D6111yescharacteristic
1217C4⋊C8C22×D6111yescharacteristic
1218#103—611no—
1219#103—611no—
1220#103—611no—
1221#103—611no—
1222#103—611no—
1223#103—611no—
1224#103—611no—
1225#103—611no—
1226#103—611no—
1227#103—611no—
1228#103—611no—
1229#103—611no—
1230#103—611no—
1231#103—611no—
1232#103—611no—
1233#103—611no—
1234#103—611no—
1235#103—611no—
1236#103C22×D6111yescharacteristic
1237#103C22×D6111yescharacteristic
1238#103C22×D6111yescharacteristic
1239#103C22×D6111yescharacteristic
1240#103C22×D6111yescharacteristic
1241#103C22×D6111yescharacteristic
1242#97—611no—
1243#97—611no—
1244#97—611no—
1245#97—611no—
1246#97—611no—
1247#97—611no—
1248#97C22×D6111yescharacteristic
1249#97C22×D6111yescharacteristic
1250C4×C8—611no—
1251C4×C8—611no—
1252C4×C8—611no—
1253C4×C8C22×D6111yescharacteristic
1254C2×Q8—21no—
1255C2×Q8—21no—
1256C2×Q8—21no—
1257C2×Q8—21no—
1258C2×Q8—611no—
1259C2×Q8—611no—
1260C2×Q8—611no—
1261C2×Q8—614no—
1262C2×Q8—614no—
1263C2×Q8—611no—
1264C2×Q8—611no—
1265C2×Q8—1221no—
1266C2×Q8—1221no—
1267C2×Q8—1221no—
1268C2×Q8—1221no—
1269C2×Q8—1221no—
1270C2×Q8—1221no—
1271C2×Q8—1221no—
1272C2×Q8—1221no—
1273C2×Q8—1222no—
1274C2×Q8—1222no—
1275C2×Q8—1221no—
1276C2×Q8—1221no—
1277C2×Q8D4×D6111yescharacteristic
1278C2×Q8C23×D6111yescharacteristic
1279C2×Q8C23×D6111yescharacteristic
1280C22×C4—611no—
1281C22×C4—611no—
1282C22×C4—611no—
1283C22×C4—1221no—
1284C22×C4—1221no—
1285C22×C4—1221no—
1286C22×C4—1221no—
1287Q16—614no—
1288Q16—614no—
1289Q16—614no—
1290Q16Q8×D6114yes—
1291M16—1222no—
1292M16—1222no—
1293C2×C8—611no—
1294C2×C8—614no—
1295C2×C8—611no—
1296C2×C8—611no—
1297C2×C8—611no—
1298C2×C8—1222no—
1299C2×C8C23×D6111yescharacteristic
1300C2×C8C23×D6111yescharacteristic
1301C2×C8C23×D6111yescharacteristic
1302C2×C8C23×D6111yescharacteristic
1303C4⋊C4—21no—
1304C4⋊C4—21no—
1305C4⋊C4—21no—
1306C4⋊C4—21no—
1307C4⋊C4—21no—
1308C4⋊C4—21no—
1309C4⋊C4—21no—
1310C4⋊C4—21no—
1311C4⋊C4—21no—
1312C4⋊C4—21no—
1313C4⋊C4—21no—
1314C4⋊C4—21no—
1315C4⋊C4—21no—
1316C4⋊C4—21no—
1317C4⋊C4—611no—
1318C4⋊C4—611no—
1319C4⋊C4—611no—
1320C4⋊C4—611no—
1321C4⋊C4—611no—
1322C4⋊C4—611no—
1323C4⋊C4—611no—
1324C4⋊C4—611no—
1325C4⋊C4—611no—
1326C4⋊C4—611no—
1327C4⋊C4—611no—
1328C4⋊C4—611no—
1329C4⋊C4—611no—
1330C4⋊C4—611no—
1331C4⋊C4—611no—
1332C4⋊C4—611no—
1333C4⋊C4—611no—
1334C4⋊C4—611no—
1335C4⋊C4—611no—
1336C4⋊C4—1221no—
1337C4⋊C4—1221no—
1338C4⋊C4—1221no—
1339C4⋊C4—1221no—
1340C4⋊C4—1221no—
1341C4⋊C4—1221no—
1342C4⋊C4—1221no—
1343C4⋊C4—1221no—
1344C4⋊C4—1221no—
1345C4⋊C4—1221no—
1346C4⋊C4—1221no—
1347C4⋊C4—1221no—
1348C4⋊C4—1221no—
1349C4⋊C4—1221no—
1350C4⋊C4—1221no—
1351C4⋊C4—1221no—
1352C4⋊C4—1221no—
1353C4⋊C4—1221no—
1354C4⋊C4—1221no—
1355C4⋊C4—1221no—
1356C4⋊C4—1221no—
1357C4⋊C4—1221no—
1358C4⋊C4—1221no—
1359C4⋊C4—1221no—
1360C4⋊C4—1221no—
1361C4⋊C4—1221no—
1362C4⋊C4—1221no—
1363C4⋊C4—1221no—
1364C4⋊C4—1221no—
1365C4⋊C4—1221no—
1366C4⋊C4—1221no—
1367C4⋊C4—1221no—
1368C4⋊C4—1221no—
1369C4⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1385C4⋊C4D4×D6111yescharacteristic
1386C4⋊C4D4×D6111yescharacteristic
1387C4⋊C4C23×D6111yescharacteristic
1388C4⋊C4C23×D6111yescharacteristic
1389C4⋊C4C23×D6111yescharacteristic
1390C4⋊C4C23×D6111yescharacteristic
1391C4⋊C4C23×D6111yescharacteristic
1392C4⋊C4C23×D6111yescharacteristic
1393C22⋊C4—611no—
1394C22⋊C4—611no—
1395C22⋊C4—611no—
1396C22⋊C4—611no—
1397C22⋊C4—1221no—
1398C22⋊C4—1221no—
1399C22⋊C4—1221no—
1400C22⋊C4—1221no—
1401C42—21no—
1402C42—21no—
1403C42—21no—
1404C42—21no—
1405C42—21no—
1406C42—21no—
1407C42—611no—
1408C42—611no—
1409C42—611no—
1410C42—611no—
1411C42—611no—
1412C42—1221no—
1413C42—1221no—
1414C42—1221no—
1415C42—1221no—
1416C42—1221no—
1417C42—1221no—
1418C42—1221no—
1419C42—1221no—
1420C42—1221no—
1421C42—1221no—
1422C42—1221no—
1423C42—1221no—
1424C42—1221no—
1425C42—1221no—
1426C42—1221no—
1427C42—1221no—
1428C42—1221no—
1429C42—1221no—
1430C42—1221no—
1431C42—1221no—
1432C42—1221no—
1433C42—1221no—
1434C42C23×D6111yescharacteristic
1435C42C23×D6111yescharacteristic
1436C42C23×D6111yescharacteristic
1437C23—611no—
1438Q8—21no—
1439Q8—21no—
1440Q8—41no—
1441Q8—81no—
1442Q8—81no—
1443Q8—81no—
1444Q8—81no—
1445Q8—612no—
1446Q8—612no—
1447Q8—1224no—
1448Q8—1224no—
1449Q8—1221no—
1450Q8—1221no—
1451Q8—4881no—
1452Q8—4881no—
1453Q8—4881no—
1454Q8—4881no—
1455Q8—4881no—
1456Q8—4881no—
1457Q8—2441no—
1458Q8—2441no—
1459Q8—2441no—
1460Q8—2442no—
1461Q8—2442no—
1462Q8C2×Q8×D6112yes—
1463Q8C2×Q8×D6112yes—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—611no—
1473C2×C4—612no—
1474C2×C4—612no—
1475C2×C4—611no—
1476C2×C4—611no—
1477C2×C4—611no—
1478C2×C4—611no—
1479C2×C4—611no—
1480C2×C4—611no—
1481C2×C4—1224no—
1482C2×C4—1224no—
1483C2×C4—1221no—
1484C2×C4—1221no—
1485C2×C4—1221no—
1486C2×C4—1221no—
1487C2×C4—1221no—
1488C2×C4—1221no—
1489C2×C4—1221no—
1490C2×C4—1221no—
1491C2×C4—4881no—
1492C2×C4—4881no—
1493C2×C4—2441no—
1494C2×C4—2441no—
1495C2×C4C2×D4×D6111yescharacteristic
1496C2×C4C2×D4×D6111yescharacteristic
1497C2×C4C2×D4×D6111yescharacteristic
1498C2×C4C2×D4×D6111yescharacteristic
1499C2×C4C2×D4×D6111yescharacteristic
1500C2×C4C2×D4×D6111yescharacteristic
1501C2×C4C24×D6111yescharacteristic
1502C8—21no—
1503C8—21no—
1504C8—21no—
1505C8—612no—
1506C8—1221no—
1507C8—1221no—
1508C8—1221no—
1509C8C2×Q8×D6112yes—
1510C22—612no—
1511C22—1221no—
1512C22—1221no—
1513C22C22×D4×D6111yescharacteristic
1514C4—22no—
1515C4—22no—
1516C4—21no—
1517C4—21no—
1518C4—21no—
1519C4—21no—
1520C4—21no—
1521C4—21no—
1522C4—41no—
1523C4—41no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—612no—
1529C4—1222no—
1530C4—1222no—
1531C4—1221no—
1532C4—1221no—
1533C4—1221no—
1534C4—1221no—
1535C4—1221no—
1536C4—1221no—
1537C4—2441no—
1538C4—2441no—
1539C4—2441no—
1540C4—2441no—
1541C4—2441no—
1542C4—2441no—
1543C4C22×Q8×D6111yescharacteristic
1544C42−1+4×D6111yescharacteristic
1545C2—1222no—
1546C2D4×Q8×D6111yescharacteristic
1547C2#2146060111yescharacteristic
1548C2#2146060211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3387C2
socleC22×C61C23×D4
prime radicalC22×D61C22×D4
hypercenter#3387D61
hypocenterC61#61379
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3387

Complements

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

NH ≅ G/Ntype
3. #21458788C2semidirect
4. #21458787C2semidirect
5. #21458786C2semidirect
6. #21458785C2semidirect
7. #21458784C2semidirect
8. #21458783C2semidirect
9. #21458782C2semidirect
10. #21458781C2semidirect
11. #21458756C2semidirect
12. #21458752C2semidirect
13. #21458750C2semidirect
14. #21458748C2semidirect
15. #21458747C2semidirect
16. #21458746C2semidirect
17. #21458746C2semidirect
31. C61×#3387C2semidirect
208. Q16×D61Q8semidirect
788. #3387D61semidirect
977. C61#61379semidirect

Maximal subgroups

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

subgroupindex
#214596282
#214596262
#214587882
#214587872
#214587862
#214587852
#214587842
#214587832
#214587822
#214587812
#214587562
#214587522
#214587502
#214587482
#214587472
#214587462
#214563462
#214563442
#214563402
#214556602
#214556562
#214556542
#214556222
#214556192
#214547552
#214546842
#214546822
#441×D612
C61×#33872
#6137961