Finite Group Databasebeta

← #30570978

Subgroups — #30570978

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#21460227C211yesmaximal, characteristic, complemented
2#21459642C211yesmaximal, characteristic, complemented
3#21458754C211yesmaximal, characteristic, complemented
4#21458748C211yesmaximal, characteristic, complemented
5#21458745C211yesmaximal, characteristic, complemented
6#21458744C211yesmaximal, characteristic, complemented
7#21458734C211yesmaximal, characteristic, complemented
8#21458728C211yesmaximal, characteristic, complemented
9#21458721C211yesmaximal, characteristic, complemented
10#21458715C211yesmaximal, characteristic, complemented
11#21458668C211yesmaximal, characteristic, complemented
12#21458660C211yesmaximal, characteristic, complemented
13#21458652C211yesmaximal, characteristic, complemented
14#21458644C211yesmaximal, characteristic, complemented
15#21458593C211yesmaximal, characteristic, complemented
16#21458585C211yesmaximal, characteristic, complemented
17#21458579C211yesmaximal, characteristic, complemented
18#21458571C211yesmaximal, characteristic, complemented
19#21457123C211yesmaximal, characteristic, complemented
20#21457115C211yesmaximal, characteristic, complemented
21#21457102C211yesmaximal, characteristic, complemented
22#21457024C211yesmaximal, characteristic, complemented
23#21457006C211yesmaximal, characteristic, complemented
24#21456098C211yesmaximal, characteristic, complemented
25#21456090C211yesmaximal, characteristic, complemented
26#21456084C211yesmaximal, characteristic, complemented
27#21456076C211yesmaximal, characteristic, complemented
28#21455976C211yesmaximal, characteristic, complemented
29#21455965C211yesmaximal, characteristic
30#21454923C211yesmaximal, characteristic, complemented
31C61×#3243C211yesmaximal, characteristic, complemented
32#16840514—21no—
33#16840513—21no—
34#16840495C2211yescharacteristic
35#16840494C2211yescharacteristic
36Q8×Dic122C2211yescharacteristic
37#16840492C2211yescharacteristic
38#16840489C2211yescharacteristic
39#16840489C2211yescharacteristic
40#16840487C2211yescharacteristic
41#16840487C2211yescharacteristic
42#16840484C2211yescharacteristic
43#16840481C2211yescharacteristic
44#16840479—21no—
45#16840473C2211yescharacteristic
46#16840473C2211yescharacteristic
47#16840470—21no—
48#16840470—21no—
49#16840468C2211yescharacteristic
50#16840468C2211yescharacteristic
51#16840466—21no—
52#16840466—21no—
53D4×Dic122C2211yescharacteristic
54#16840427C2211yescharacteristic
55#16840425—21no—
56#16840392—21no—
57#16840390C2211yescharacteristic
58#16840389—21no—
59#16840385C2211yescharacteristic
60#16840383C2211yescharacteristic
61#16840380—21no—
62#16840379C2211yescharacteristic
63#16840376—21no—
64#16840334—21no—
65#16840332—21no—
66#16840317—21no—
67#16840315C2211yescharacteristic
68#16840314C2211yescharacteristic
69#16840307C2211yescharacteristic
70C2×#14519768C2211yescharacteristic
71#125×D61—21no—
72#16840243C2211yescharacteristic
73#16840242C2211yescharacteristic
74#16840230C2211yescharacteristic
75#16840172C2211yescharacteristic
76#16840170C2211yescharacteristic
77#16840170C2211yescharacteristic
78#16840170C2211yescharacteristic
79#16840170C2211yescharacteristic
80#16840170C2211yescharacteristic
81#16840170C2211yescharacteristic
82#16840165C2211yescharacteristic
83#16840159C2211yescharacteristic
84#16840159C2211yescharacteristic
85#16840129C2211yescharacteristic
86#16840129C2211yescharacteristic
87#16840125C2211yescharacteristic
88#16840125C2211yescharacteristic
89#16840124C2211yescharacteristic
90#16840123C2211yescharacteristic
91#16840120C2211yescharacteristic
92#16840119C2211yescharacteristic
93#16840118C2211yescharacteristic
94#16840115C2211yescharacteristic
95#16840103C2211yescharacteristic
96#16840097C2211yescharacteristic
97#16840093C2211yescharacteristic
98#16840090C2211yescharacteristic
99#16840086C2211yescharacteristic
100#16840081C2211yescharacteristic
101#16840078C2211yescharacteristic
102#16840075C2211yescharacteristic
103#16840068C2211yescharacteristic
104#16840068C2211yescharacteristic
105#16840068C2211yescharacteristic
106#16840067C2211yescharacteristic
107#16840067C2211yescharacteristic
108#16840067C2211yescharacteristic
109#16840066C2211yescharacteristic
110#16840065C2211yescharacteristic
111#16840065C2211yescharacteristic
112#16840065C2211yescharacteristic
113#16840064C2211yescharacteristic
114#16840064C2211yescharacteristic
115#16840064C2211yescharacteristic
116#16840059C2211yescharacteristic
117#16840056C2211yescharacteristic
118#16840056C2211yescharacteristic
119#16840056C2211yescharacteristic
120#16840054C2211yescharacteristic
121#16840053C2211yescharacteristic
122#16840051C2211yescharacteristic
123#16840051C2211yescharacteristic
124#16840050C2211yescharacteristic
125#16840049C2211yescharacteristic
126#16840048C2211yescharacteristic
127#16840046C2211yescharacteristic
128#16840046C2211yescharacteristic
129#16840045C2211yescharacteristic
130#16840044C2211yescharacteristic
131#16840041C2211yescharacteristic
132#16840041C2211yescharacteristic
133#16840041C2211yescharacteristic
134#16840039C2211yescharacteristic
135#16839987C2211yescharacteristic
136#16839985C2211yescharacteristic
137#16839983C2211yescharacteristic
138#16839981C2211yescharacteristic
139#16839980C2211yescharacteristic
140#16839978C2211yescharacteristic
141#16839976C2211yescharacteristic
142#16839974C2211yescharacteristic
143#16839971C2211yescharacteristic
144#16839966C2211yescharacteristic
145#16839961C2211yescharacteristic
146#16839956C2211yescharacteristic
147#16839926C2211yescharacteristic
148#16839922C2211yescharacteristic
149#16839909C2211yescharacteristic
150#16839905C2211yescharacteristic
151#16839892C2211yescharacteristic
152#16839892C2211yescharacteristic
153#16839891C2211yescharacteristic
154#16839891C2211yescharacteristic
155#16839890C2211yescharacteristic
156#16839890C2211yescharacteristic
157#16839889C2211yescharacteristic
158#16839889C2211yescharacteristic
159#16839875C2211yescharacteristic
160#16839873C2211yescharacteristic
161#16839872C2211yescharacteristic
162#16839871C2211yescharacteristic
163#16839870C2211yescharacteristic
164#16839868C2211yescharacteristic
165#16839867C2211yescharacteristic
166#16839866C2211yescharacteristic
167#16839865C2211yescharacteristic
168#16839865C2211yescharacteristic
169#16839861C2211yescharacteristic
170#16839861C2211yescharacteristic
171#16839861C2211yescharacteristic
172#16839861C2211yescharacteristic
173#16839859C2211yescharacteristic
174#16839859C2211yescharacteristic
175#16839856C2211yescharacteristic
176#16839854C2211yescharacteristic
177C4×#11758190C2211yescharacteristic
178C4×#11758190C2211yescharacteristic
179C4×#11758201C2211yescharacteristic
180C4×#11758200C2211yescharacteristic
181#16839844C2211yescharacteristic
182#16839842C2211yescharacteristic
183#16839823C2211yescharacteristic
184#16839820C2211yescharacteristic
185#16839820C2211yescharacteristic
186#16839816C2211yescharacteristic
187#16839816C2211yescharacteristic
188C61×#544C2211yescharacteristic
189C61×#542C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#500C2211yescharacteristic
192C61×#489C2211yescharacteristic
193C61×#488C2211yescharacteristic
194C61×#485C2211yescharacteristic
195C61×#484C2211yescharacteristic
196C61×#482C2211yescharacteristic
197C61×#480C2211yescharacteristic
198C61×#479C2211yescharacteristic
199C61×#478C2211yescharacteristic
200C61×#477C2211yescharacteristic
201C61×#474C2211yescharacteristic
202C61×#433C2211yescharacteristic
203C2×#11758222C2311yescharacteristic
204C2×#11758224—21no—
205C22×Dic122—21no—
206C2×Q8×D61—21no—
207C2×Dic244C2311yescharacteristic
208C2×#11758202C2311yescharacteristic
209C2×#11758190C2311yescharacteristic
210C2×#11758190C2311yescharacteristic
211C2×#11758200C2311yescharacteristic
212C2×#11758201C2311yescharacteristic
213C2×D488C2311yescharacteristic
214C2×#11758199C2311yescharacteristic
215#14519777—21no—
216#14519777—21no—
217#14519777C2311yescharacteristic
218#14519776—21no—
219#14519776—21no—
220#14519776—21no—
221#14519776—21no—
222#14519776—21no—
223#14519776D411yescharacteristic
224#14519776D411yescharacteristic
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519776C2311yescharacteristic
231#14519775—21no—
232#14519775—21no—
233#14519775—21no—
234#14519775—21no—
235#14519775C2311yescharacteristic
236#14519773C2311yescharacteristic
237#14519772—21no—
238#14519772—21no—
239#14519772—21no—
240#14519771—21no—
241#14519770—21no—
242#14519770—21no—
243#14519770—21no—
244#14519769—21no—
245#14519768—21no—
246#14519768—21no—
247#14519768D411yescharacteristic
248#14519768D411yescharacteristic
249#14519768C2311yescharacteristic
250#14519768C2311yescharacteristic
251#14519768C2311yescharacteristic
252#14519768C2311yescharacteristic
253#14519768C2311yescharacteristic
254#14519768C2311yescharacteristic
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519767—21no—
261#14519767—21no—
262#14519767—21no—
263#14519767—21no—
264#14519766C2311yescharacteristic
265#14519765C2311yescharacteristic
266#14519764—21no—
267#14519764C2311yescharacteristic
268#14519763—21no—
269#14519763—21no—
270#14519763—21no—
271#14519763—21no—
272#14519763—21no—
273#14519761—21no—
274#14519760—21no—
275#14519759—21no—
276#14519759—21no—
277#14519759—21no—
278#14519759—21no—
279#14519758—21no—
280#14519757—21no—
281#14519757—21no—
282#14519757—21no—
283#14519757—21no—
284#14519757—21no—
285#14519756—21no—
286#14519756C2311yescharacteristic
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#14519754—21no—
296#14519754—21no—
297#14519754—21no—
298#14519754—21no—
299#14519754—21no—
300#14519754—21no—
301#14519754—21no—
302#14519754D411yescharacteristic
303#14519754D411yescharacteristic
304#14519754D411yescharacteristic
305#14519754D411yescharacteristic
306#14519753—21no—
307#14519753—21no—
308#14519753—21no—
309#14519753—21no—
310#14519753—21no—
311#14519751C2311yescharacteristic
312#14519749—21no—
313Q8×Dic61—21no—
314Q8×Dic61—21no—
315Q8×Dic61C2311yescharacteristic
316Q8×Dic61C2311yescharacteristic
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
334#14519742C2311yescharacteristic
335C4×D244C2311yescharacteristic
336C4×D244C2311yescharacteristic
337C4×D244C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340#14519739C2311yescharacteristic
341#14519739C2311yescharacteristic
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#14519737—21no—
353#14519737—21no—
354#14519737—21no—
355#14519736C2311yescharacteristic
356#14519735—21no—
357#14519735—21no—
358#14519734—21no—
359#14519734—21no—
360#14519733—21no—
361#14519733—21no—
362C2×C4⋊Dic61—21no—
363C2×C4⋊Dic61C2311yescharacteristic
364C2×#11758196—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61—21no—
368C4⋊C4×D61—21no—
369C4⋊C4×D61—21no—
370C4⋊C4×D61—21no—
371C2×C4×Dic61C2311yescharacteristic
372C42×D61—21no—
373#14519710C2311yescharacteristic
374#14519710C2311yescharacteristic
375#14519710C2311yescharacteristic
376#14519710C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519709C2311yescharacteristic
380#14519709C2311yescharacteristic
381#14519709C2311yescharacteristic
382#14519709C2311yescharacteristic
383#14519708C2311yescharacteristic
384#14519708C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389C4⋊#92418C2311yescharacteristic
390C4⋊#92418C2311yescharacteristic
391#14519706C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519697C2311yescharacteristic
418#14519697C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423C22⋊#92418C2311yescharacteristic
424C22⋊#92418C2311yescharacteristic
425#14519688C2311yescharacteristic
426#14519687C2311yescharacteristic
427#14519687C2311yescharacteristic
428#14519687C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432C4×#92418C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C4⋊Q8×C61—21no—
436C4⋊Q8×C61C2311yescharacteristic
437C4⋊Q8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#126×C61—21no—
440#125×C61—21no—
441#125×C61C2311yescharacteristic
442#125×C61C2311yescharacteristic
443#124×C61—21no—
444#124×C61C2311yescharacteristic
445#123×C61—21no—
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448C22⋊Q8×C61—21no—
449C22⋊Q8×C61C2311yescharacteristic
450#121×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453#117×C61C2311yescharacteristic
454#117×C61C2311yescharacteristic
455C2×C4⋊C4×C61C2311yescharacteristic
456#107×C61C2311yescharacteristic
457#107×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474C22⋊C8×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61C2411yescharacteristic
482C2×D4×C61—21no—
483C2×D4×C61C2411yescharacteristic
484C22×C4×C61—21no—
485C22×C4×C61—21no—
486C22×C4×C61C2411yescharacteristic
487C2×C22⋊D61—21no—
488C2×C22⋊D61—21no—
489C2×C22⋊D61—21no—
490C2×C22⋊D61—21no—
491C22×Dic61—21no—
492C22×Dic61—21no—
493C22×Dic61—21no—
494C22×Dic61C2×D411yescharacteristic
495C22×Dic61C2×D411yescharacteristic
496Q8×D61—82no—
497#11758224—82no—
498#11758222—22no—
499#11758222—22no—
500C2×D244C2411yescharacteristic
501C2×D244C2411yescharacteristic
502C2×C4×D61—21no—
503C2×C4×D61—21no—
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×Dic122—21no—
513C2×Dic122—21no—
514C2×Dic122—21no—
515C2×Dic122—21no—
516C2×Dic122—21no—
517C2×Dic122—21no—
518C2×Dic122—21no—
519C2×Dic122—82no—
520C2×Dic122C2×D411yescharacteristic
521C2×Dic122C2×D411yescharacteristic
522C2×Dic122C2×D411yescharacteristic
523C2×Dic122C2×D411yescharacteristic
524C2×Dic122C2411yescharacteristic
525C2×Dic122C2411yescharacteristic
526C2×C8×C61C2411yescharacteristic
527C2×C8×C61C2411yescharacteristic
528C2×C8×C61C2411yescharacteristic
529C2×C8×C61C2411yescharacteristic
530C4⋊C4×C61—21no—
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×C61C2×D411yescharacteristic
541C4⋊C4×C61C2×D411yescharacteristic
542C4⋊C4×C61C2411yescharacteristic
543C4⋊C4×C61C2411yescharacteristic
544C4⋊C4×C61C2411yescharacteristic
545C4⋊C4×C61C2411yescharacteristic
546C4⋊C4×C61C2411yescharacteristic
547C4⋊C4×C61C2411yescharacteristic
548C22⋊C4×C61—21no—
549C22⋊C4×C61—21no—
550C22⋊C4×C61—21no—
551C22⋊C4×C61—21no—
552C22⋊C4×C61—21no—
553C22⋊C4×C61—21no—
554C22⋊C4×C61C2×D411yescharacteristic
555C22⋊C4×C61C2×D411yescharacteristic
556C42×C61—21no—
557C42×C61—21no—
558C42×C61C2411yescharacteristic
559C42×C61C2411yescharacteristic
560C22⋊Dic61—21no—
561C22⋊Dic61—21no—
562C22⋊Dic61—21no—
563C22⋊Dic61—21no—
564C22⋊Dic61—21no—
565C22⋊Dic61C2×D411yescharacteristic
566C22⋊Dic61C2×D411yescharacteristic
567#11758202—22no—
568#11758201—22no—
569#11758200—22no—
570#11758199—22no—
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—
585C4⋊Dic61—21no—
586C4⋊Dic61—21no—
587C4⋊Dic61—21no—
588C4⋊Dic61—21no—
589C4⋊Dic61—21no—
590C4⋊Dic61—21no—
591C4⋊Dic61—21no—
592C4⋊Dic61—21no—
593C4⋊Dic61—21no—
594C4⋊Dic61—21no—
595C4⋊Dic61C2×D411yescharacteristic
596C4⋊Dic61C2×D411yescharacteristic
597C4⋊Dic61C2×D411yescharacteristic
598C4⋊Dic61C2×D411yescharacteristic
599C4⋊Dic61C2×D411yescharacteristic
600C4⋊Dic61C2×D411yescharacteristic
601C4⋊Dic61C2411yescharacteristic
602C4⋊Dic61C2411yescharacteristic
603C4⋊Dic61C2411yescharacteristic
604C4⋊Dic61C2411yescharacteristic
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#11758196C2×D411yescharacteristic
630#11758196C2×D411yescharacteristic
631#11758196C2×D411yescharacteristic
632#11758196C2×D411yescharacteristic
633#11758196C2×D411yescharacteristic
634#11758196C2×D411yescharacteristic
635#11758196C2×D411yescharacteristic
636#11758196C2×D411yescharacteristic
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
653C4×Dic61C2411yescharacteristic
654C2×#92418C2411yescharacteristic
655C2×#92418C2411yescharacteristic
656C2×#92418C2411yescharacteristic
657C2×#92418C2411yescharacteristic
658Dic244—22no—
659D488—22no—
660#11758190—22no—
661#11758190—22no—
662C23×C61—21no—
663C23×C61C22×D411yescharacteristic
664C22×D61—21no—
665C22×D61—21no—
666Q8×C61—21no—
667Q8×C61—21no—
668Q8×C61—81no—
669Q8×C61—81no—
670Q8×C61—81no—
671D4×C61—21no—
672D4×C61—21no—
673D4×C61—81no—
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×C61—21no—
681C2×C4×C61—21no—
682C2×C4×C61—21no—
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×C61C2511yescharacteristic
691C22⋊D61—24no—
692C22⋊D61—42no—
693C22⋊D61—81no—
694C22⋊D61—81no—
695C2×Dic61—21no—
696C2×Dic61—21no—
697C2×Dic61—21no—
698C2×Dic61—21no—
699C2×Dic61—21no—
700C2×Dic61—21no—
701C2×Dic61—41no—
702C2×Dic61—41no—
703C2×Dic61—42no—
704C2×Dic61—81no—
705C2×Dic61—81no—
706C2×Dic61C22×D411yescharacteristic
707C2×Dic61C22×D411yescharacteristic
708C2×Dic61C22×D411yescharacteristic
709C2×Dic61C22×D411yescharacteristic
710C2×Dic61C22×D411yescharacteristic
711C2×Dic61C22×D411yescharacteristic
712C2×Dic61C22×D411yescharacteristic
713C2×Dic61C22×D411yescharacteristic
714D244—21no—
715D244—21no—
716D244—21no—
717D2442−1+412yes—
718C4×D61—24no—
719C4×D61—42no—
720C4×D61—81no—
721C4×D61—81no—
722C4×D61—81no—
723C4×D61—81no—
724C4×D61—81no—
725C4×D61—81no—
726C4×D61—81no—
727C4×D61—81no—
728Dic122—21no—
729Dic122—21no—
730Dic122—21no—
731Dic122—41no—
732Dic122—41no—
733Dic122—41no—
734Dic122—41no—
735Dic122—42no—
736Dic122—81no—
737Dic122—81no—
738Dic122—81no—
739Dic122—81no—
740Dic122—81no—
741Dic122—81no—
742Dic1222−1+412yes—
743C8×C61—21no—
744C8×C61—21no—
745C8×C61—21no—
746C8×C61—21no—
747#92418—21no—
748#92418—21no—
749#92418—21no—
750#92418—21no—
751#61878—611nomaximal, Sylow
752C22×C61—21no—
753C22×C61—21no—
754C22×C61—21no—
755C22×C61—41no—
756C22×C61—41no—
757C22×C61—41no—
758C22×C61C23×D411yescharacteristic
759C2×D61—22no—
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—41no—
771C4×C61—41no—
772C4×C61—41no—
773C4×C61—41no—
774C4×C61—41no—
775C4×C61—41no—
776C4×C61—41no—
777C4×C61C2×2−1+411yescharacteristic
778C4×C61C2×2−1+411yescharacteristic
779Dic61—21no—
780Dic61—21no—
781Dic61—21no—
782Dic61—21no—
783Dic61—21no—
784Dic61—21no—
785Dic61—21no—
786Dic61—21no—
787Dic61—22no—
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#3385—611no—
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#3243D6111yescharacteristic, complemented
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—41no—
825C2×C61—81no—
826C2×C61#348611yescharacteristic
827C2×C61#358511yescharacteristic
828C2×C61#358611yescharacteristic
829D61—42no—
830D61—81no—
831#563—1221no—
832#563—1221no—
833#559—611no—
834#559—611no—
835Q82—611no—
836Q82—611no—
837#557—611no—
838#557—611no—
839#557—611no—
840#557—611no—
841#556—611no—
842#556—611no—
843#556—1221no—
844#554—611no—
845#554—611no—
846#554—611no—
847#554—611no—
848#554—1221no—
849#554—1221no—
850#554—1221no—
851#554—1221no—
852D4×Q8—611no—
853D4×Q8—611no—
854D4×Q8—1221no—
855#544—611no—
856#544—1221no—
857#544—1221no—
858#544C2×D6111yescharacteristic
859#542—611no—
860#542—611no—
861#542—611no—
862#542—1221no—
863#542—1221no—
864#542C2×D6111yescharacteristic
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#501—611no—
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#489C2×D6111yescharacteristic
896#488—611no—
897#488—611no—
898#488—611no—
899#488C2×D6111yescharacteristic
900#485—611no—
901#485C2×D6111yescharacteristic
902#484—611no—
903#484C2×D6111yescharacteristic
904#483—611no—
905#483—611no—
906#482—611no—
907#482C2×D6111yescharacteristic
908#481—611no—
909#481—611no—
910#480—611no—
911#480C2×D6111yescharacteristic
912#479—611no—
913#479—611no—
914#479—611no—
915#479—611no—
916#479—611no—
917#479—611no—
918#479—611no—
919#479C2×D6111yescharacteristic
920#478—611no—
921#478—611no—
922#478—611no—
923#478—611no—
924#478—611no—
925#478—611no—
926#478—611no—
927#478C2×D6111yescharacteristic
928#477—611no—
929#477—611no—
930#477—611no—
931#477—611no—
932#477C2×D6111yescharacteristic
933#476—611no—
934#476—611no—
935#476—611no—
936#476—611no—
937#476—611no—
938#475—611no—
939#475—611no—
940#475—611no—
941#475—611no—
942#475—611no—
943#474—611no—
944#474—611no—
945#474—611no—
946#474—611no—
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#446—611no—
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#440—611no—
987#440—611no—
988C4×Q16—611no—
989C4×Q16—611no—
990C4×SD16—611no—
991C4×SD16—611no—
992C4×SD16—611no—
993C4×SD16—611no—
994C4×D8—611no—
995C4×D8—611no—
996#433—611no—
997#433—611no—
998#433—611no—
999#433C2×D6111yescharacteristic
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×SD16—611no—
1013C2×D8—611no—
1014C2×D8—611no—
1015C4⋊Q8—21no—
1016C4⋊Q8—611no—
1017C4⋊Q8—611no—
1018C4⋊Q8—611no—
1019C4⋊Q8—611no—
1020C4⋊Q8—611no—
1021C4⋊Q8—611no—
1022C4⋊Q8—611no—
1023C4⋊Q8—611no—
1024C4⋊Q8—611no—
1025C4⋊Q8—611no—
1026C4⋊Q8—1221no—
1027C4⋊Q8—1221no—
1028C4⋊Q8—1221no—
1029C4⋊Q8—1221no—
1030C4⋊Q8—1221no—
1031C4⋊Q8—1221no—
1032C4⋊Q8—1221no—
1033C4⋊Q8—1221no—
1034C4⋊Q8—1221no—
1035C4⋊Q8—1221no—
1036C4⋊Q8—1221no—
1037C4⋊Q8C22×D6111yescharacteristic
1038C4⋊Q8C22×D6111yescharacteristic
1039C4⋊Q8C22×D6111yescharacteristic
1040#127—611no—
1041#126—21no—
1042#126—1221no—
1043#126—1221no—
1044#126—1221no—
1045#126—1221no—
1046#126—1221no—
1047#126—1221no—
1048#126—1221no—
1049#125—21no—
1050#125—611no—
1051#125—611no—
1052#125—611no—
1053#125—611no—
1054#125—611no—
1055#125—611no—
1056#125—611no—
1057#125—611no—
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—21no—
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#124C22×D6111yescharacteristic
1083#123—21no—
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—1221no—
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⋊Q8C22×D6111yescharacteristic
1126#121—611no—
1127#121—1221no—
1128#121C22×D6111yescharacteristic
1129C4×Q8—611no—
1130C4×Q8—611no—
1131C4×Q8—611no—
1132C4×Q8—611no—
1133C4×Q8—611no—
1134C4×Q8—611no—
1135C4×Q8—611no—
1136C4×Q8—611no—
1137C4×Q8—611no—
1138C4×Q8—611no—
1139C4×Q8—611no—
1140C4×Q8—611no—
1141C4×Q8—611no—
1142C4×Q8—611no—
1143C4×Q8—611no—
1144C4×Q8—1221no—
1145C4×Q8—1221no—
1146C4×Q8—1221no—
1147C4×Q8—1221no—
1148C4×Q8—1221no—
1149C4×Q8—1221no—
1150C4×Q8—1221no—
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—611no—
1162C4×D4—611no—
1163C4×D4—1221no—
1164C4×D4—1221no—
1165C4×D4—1221no—
1166C4×D4—1221no—
1167C4×D4—1221no—
1168C4×D4—1221no—
1169C4×D4—1221no—
1170C4×D4—1221no—
1171C4×D4—1221no—
1172C4×D4C22×D6111yescharacteristic
1173#117—611no—
1174#117—1221no—
1175#117—1221no—
1176#117—1221no—
1177#117—1221no—
1178#117—1221no—
1179#117—1221no—
1180#117C22×D6111yescharacteristic
1181#117C22×D6111yescharacteristic
1182C2×C4⋊C4—611no—
1183C2×C4⋊C4—1221no—
1184C2×C4⋊C4—1221no—
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⋊C4C22×D6111yescharacteristic
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#106—611no—
1216#106C22×D6111yescharacteristic
1217#106C22×D6111yescharacteristic
1218C4⋊C8—611no—
1219C4⋊C8—611no—
1220C4⋊C8—611no—
1221C4⋊C8—611no—
1222C4⋊C8—611no—
1223C4⋊C8—611no—
1224C4⋊C8—611no—
1225C4⋊C8—611no—
1226C4⋊C8—611no—
1227C4⋊C8—611no—
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#103C22×D6111yescharacteristic
1243#103C22×D6111yescharacteristic
1244#103C22×D6111yescharacteristic
1245#103C22×D6111yescharacteristic
1246#102—611no—
1247#102—611no—
1248#102—611no—
1249#102—611no—
1250#102—611no—
1251#102—611no—
1252#102—611no—
1253#102—611no—
1254#102—611no—
1255#102—611no—
1256#102—611no—
1257#102—611no—
1258#102C22×D6111yescharacteristic
1259#102C22×D6111yescharacteristic
1260#102C22×D6111yescharacteristic
1261#102C22×D6111yescharacteristic
1262C22⋊C8—611no—
1263C22⋊C8—611no—
1264C22⋊C8C22×D6111yescharacteristic
1265C22⋊C8C22×D6111yescharacteristic
1266#97—611no—
1267#97—611no—
1268#97—611no—
1269#97—611no—
1270#97—611no—
1271#97—611no—
1272#97—611no—
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—611no—
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—1221no—
1297C2×Q8—4882no—
1298C2×Q8—4882no—
1299C2×Q8C23×D6111yescharacteristic
1300C2×D4—21no—
1301C2×D4—611no—
1302C2×D4—611no—
1303C2×D4—1221no—
1304C2×D4—1221no—
1305C2×D4—1221no—
1306C2×D4—1221no—
1307C2×D4C23×D6111yescharacteristic
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—611no—
1311C22×C4—611no—
1312C22×C4—1221no—
1313C22×C4—1221no—
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×C4C23×D6111yescharacteristic
1326Q16—1222no—
1327Q16—1222no—
1328SD16—1222no—
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—611no—
1353C4⋊C4—611no—
1354C4⋊C4—611no—
1355C4⋊C4—611no—
1356C4⋊C4—611no—
1357C4⋊C4—611no—
1358C4⋊C4—611no—
1359C4⋊C4—611no—
1360C4⋊C4—611no—
1361C4⋊C4—611no—
1362C4⋊C4—611no—
1363C4⋊C4—611no—
1364C4⋊C4—611no—
1365C4⋊C4—611no—
1366C4⋊C4—611no—
1367C4⋊C4—611no—
1368C4⋊C4—611no—
1369C4⋊C4—611no—
1370C4⋊C4—1221no—
1371C4⋊C4—1221no—
1372C4⋊C4—1221no—
1373C4⋊C4—1221no—
1374C4⋊C4—1221no—
1375C4⋊C4—1221no—
1376C4⋊C4—1221no—
1377C4⋊C4—1221no—
1378C4⋊C4—1221no—
1379C4⋊C4—1221no—
1380C4⋊C4—1221no—
1381C4⋊C4—1221no—
1382C4⋊C4—1221no—
1383C4⋊C4—1221no—
1384C4⋊C4—1221no—
1385C4⋊C4—1221no—
1386C4⋊C4—1221no—
1387C4⋊C4—1221no—
1388C4⋊C4—1221no—
1389C4⋊C4—1221no—
1390C4⋊C4—1221no—
1391C4⋊C4—1221no—
1392C4⋊C4—1221no—
1393C4⋊C4—1221no—
1394C4⋊C4—1221no—
1395C4⋊C4—1221no—
1396C4⋊C4—1221no—
1397C4⋊C4—1221no—
1398C4⋊C4—1221no—
1399C4⋊C4—1221no—
1400C4⋊C4—1221no—
1401C4⋊C4—1221no—
1402C4⋊C4—1221no—
1403C4⋊C4—1221no—
1404C4⋊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—21no—
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—611no—
1419C22⋊C4—611no—
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⋊C4D4×D6111yescharacteristic
1440C22⋊C4D4×D6111yescharacteristic
1441C42—21no—
1442C42—21no—
1443C42—611no—
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—
1459C42—1221no—
1460C42C23×D6111yescharacteristic
1461C42C23×D6111yescharacteristic
1462C23—21no—
1463C23—1221no—
1464C23—1221no—
1465C23C2×D4×D6111yescharacteristic
1466Q8—21no—
1467Q8—21no—
1468Q8—81no—
1469Q8—81no—
1470Q8—81no—
1471Q8—612no—
1472Q8—1221no—
1473Q8—1221no—
1474Q8—1221no—
1475Q8—4881no—
1476Q8—4881no—
1477Q8—4881no—
1478Q8—4881no—
1479Q8—4881no—
1480Q8—4881no—
1481Q8—2441no—
1482Q8—2441no—
1483Q8—2441no—
1484Q8—2441no—
1485Q8—2442no—
1486D4—21no—
1487D4—21no—
1488D4—81no—
1489D4—612no—
1490D4—1224no—
1491D4—1221no—
1492D4—1221no—
1493D4—1221no—
1494D4—4881no—
1495D4—4881no—
1496D4—2442no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—81no—
1507C2×C4—81no—
1508C2×C4—611no—
1509C2×C4—611no—
1510C2×C4—611no—
1511C2×C4—611no—
1512C2×C4—611no—
1513C2×C4—611no—
1514C2×C4—611no—
1515C2×C4—611no—
1516C2×C4—1224no—
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—4881no—
1533C2×C4—2442no—
1534C2×C4—2441no—
1535C2×C4—2441no—
1536C2×C4—2442no—
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—21no—
1552C22—21no—
1553C22—21no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—1222no—
1558C22—2441no—
1559C22—2441no—
1560C22—2441no—
1561C22—2441no—
1562C22—2441no—
1563C22C22×D4×D6111yescharacteristic
1564C4—21no—
1565C4—21no—
1566C4—21no—
1567C4—21no—
1568C4—21no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—1222no—
1577C4—1221no—
1578C4—1221no—
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
1591C42−1+4×D6111yescharacteristic
1592C2—41no—
1593C2—81no—
1594C2—4881no—
1595C2—2442no—
1596C2#2145946811yescharacteristic
1597C2#2146059411yescharacteristic
1598C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3243C2
socleC22×C61C23×D4
prime radical#21455965C2
hypercenter#3243D61
hypocenterC61#61878
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3243

Complements

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

NH ≅ G/Ntype
1. #21460227C2semidirect
2. #21459642C2semidirect
3. #21458754C2semidirect
4. #21458748C2semidirect
5. #21458745C2semidirect
6. #21458744C2semidirect
7. #21458734C2semidirect
8. #21458728C2semidirect
9. #21458721C2semidirect
10. #21458715C2semidirect
11. #21458668C2semidirect
12. #21458660C2semidirect
13. #21458652C2semidirect
14. #21458644C2semidirect
15. #21458593C2semidirect
16. #21458585C2semidirect
17. #21458579C2semidirect
18. #21458571C2semidirect
19. #21457123C2semidirect
20. #21457115C2semidirect
21. #21457102C2semidirect
22. #21457024C2semidirect
23. #21457006C2semidirect
24. #21456098C2semidirect
25. #21456090C2semidirect
26. #21456084C2semidirect
27. #21456076C2semidirect
28. #21455976C2semidirect
30. #21454923C2semidirect
31. C61×#3243C2semidirect
814. #3243D61semidirect
1002. C61#61878semidirect

Maximal subgroups

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

subgroupindex
#214602272
#214596422
#214587542
#214587482
#214587452
#214587442
#214587342
#214587282
#214587212
#214587152
#214586682
#214586602
#214586522
#214586442
#214585932
#214585852
#214585792
#214585712
#214571232
#214571152
#214571022
#214570242
#214570062
#214560982
#214560902
#214560842
#214560762
#214559762
#214559652
#214549232
C61×#32432
#6187861