Finite Group Databasebeta

← #30575478

Subgroups — #30575478

Order 15616.

1776 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460390C211yesmaximal, characteristic, complemented
2#21459832C211yesmaximal, characteristic, complemented
3#21458898C211yesmaximal, characteristic, complemented
4#21458897C211yesmaximal, characteristic, complemented
5#21458562C211yesmaximal, characteristic, complemented
6#21458558C211yesmaximal, characteristic, complemented
7#21458099C211yesmaximal, characteristic, complemented
8#21458097C211yesmaximal, characteristic, complemented
9#21458011C211yesmaximal, characteristic, complemented
10#21458000C211yesmaximal, characteristic, complemented
11#21457861C211yesmaximal, characteristic, complemented
12#21457852C211yesmaximal, characteristic, complemented
13#21457457C211yesmaximal, characteristic, complemented
14#21457456C211yesmaximal, characteristic, complemented
15#21457396C211yesmaximal, characteristic, complemented
16#21457386C211yesmaximal, characteristic, complemented
17#21457386C211yesmaximal, characteristic, complemented
18#21457384C211yesmaximal, characteristic, complemented
19#21457291C211yesmaximal, characteristic, complemented
20#21457212C211yesmaximal, characteristic, complemented
21#21456925C211yesmaximal, characteristic, complemented
22#21456922C211yesmaximal, characteristic, complemented
23#21456820C211yesmaximal, characteristic, complemented
24#21456055C211yesmaximal, characteristic, complemented
25#21456042C211yesmaximal, characteristic, complemented
26#21455983C211yesmaximal, characteristic, complemented
27#21455350C211yesmaximal, characteristic, complemented
28#21455347C211yesmaximal, characteristic, complemented
29#21455308C211yesmaximal, characteristic, complemented
30#21454987C211yesmaximal, characteristic, complemented
31C61×#3263C211yesmaximal, characteristic, complemented
32C2×#14519810C2211yescharacteristic
33C2×#14519806C2211yescharacteristic
34C2×#14519806C2211yescharacteristic
35C2×#14519801C2211yescharacteristic
36C22×Dic244C2211yescharacteristic, complemented
37C2×Q16×D61C2211yescharacteristic, complemented
38#16840514—21no—
39#16840509—21no—
40#16840492C2211yescharacteristic, complemented
41#16840486C2211yescharacteristic
42#16840484C2211yescharacteristic
43#16840483C2211yescharacteristic
44#16840482C2211yescharacteristic
45#16840481—21no—
46#16840481C2211yescharacteristic, complemented
47#16840479—21no—
48#16840479—21no—
49#16840476C2211yescharacteristic, complemented
50#16840474—21no—
51#16840437—21no—
52#16840435—21no—
53Q8×D244C2211yescharacteristic
54#16840425C2211yescharacteristic
55#16840425C2211yescharacteristic, complemented
56#16840422C2211yescharacteristic
57#16840420C2211yescharacteristic
58#16840418C2211yescharacteristic
59#16840418C2211yescharacteristic
60#16840409C2211yescharacteristic
61#16840407C2211yescharacteristic
62#16840387—21no—
63#16840386C2211yescharacteristic
64#16840385—21no—
65#16840382—21no—
66#16840381—21no—
67#16840380—21no—
68#16840377C2211yescharacteristic, complemented
69#16840346—21no—
70#16840338C2211yescharacteristic
71#16840332C2211yescharacteristic
72#16840317C2211yescharacteristic
73#16840316C2211yescharacteristic
74#16840314—21no—
75#16840290C2211yescharacteristic
76#16840289—21no—
77#124×D61C2211yescharacteristic
78#16840239C2211yescharacteristic, complemented
79#16840238C2211yescharacteristic, complemented
80C4×#11758224C2211yescharacteristic
81#16840157C2211yescharacteristic, complemented
82#16840155C2211yescharacteristic
83#16840153C2211yescharacteristic
84#16840153C2211yescharacteristic, complemented
85#16840145C2211yescharacteristic
86#16840144C2211yescharacteristic
87#16840124C2211yescharacteristic
88#16840123C2211yescharacteristic
89#16840120C2211yescharacteristic
90#16840120C2211yescharacteristic
91#16840114C2211yescharacteristic, complemented
92#16840111C2211yescharacteristic, complemented
93#16840106C2211yescharacteristic
94#16840106C2211yescharacteristic
95#16840106C2211yescharacteristic, complemented
96#16840100C2211yescharacteristic, complemented
97#16840088C2211yescharacteristic
98#16840083C2211yescharacteristic
99#16840054C2211yescharacteristic, complemented
100#16840051C2211yescharacteristic
101#16840046C2211yescharacteristic, complemented
102#16840046C2211yescharacteristic, complemented
103#16840046C2211yescharacteristic, complemented
104#16840044C2211yescharacteristic, complemented
105#16840021C2211yescharacteristic
106#16840021C2211yescharacteristic
107#16840021C2211yescharacteristic, complemented
108#16840019C2211yescharacteristic
109#16840019C2211yescharacteristic
110#16840014C2211yescharacteristic
111#16839992C2211yescharacteristic
112#16839990C2211yescharacteristic, complemented
113#16839987C2211yescharacteristic
114#16839985C2211yescharacteristic
115#16839985C2211yescharacteristic
116#16839985C2211yescharacteristic
117#16839985C2211yescharacteristic
118#16839984C2211yescharacteristic
119#16839983C2211yescharacteristic
120#16839983C2211yescharacteristic
121#16839983C2211yescharacteristic, complemented
122#16839982C2211yescharacteristic
123#16839981C2211yescharacteristic
124#16839981C2211yescharacteristic
125#16839979C2211yescharacteristic
126#16839977C2211yescharacteristic
127#16839976C2211yescharacteristic
128#16839975C2211yescharacteristic
129#16839973C2211yescharacteristic, complemented
130#16839973C2211yescharacteristic, complemented
131#16839973C2211yescharacteristic, complemented
132#16839973C2211yescharacteristic, complemented
133#16839972C2211yescharacteristic, complemented
134#16839971C2211yescharacteristic, complemented
135#16839971C2211yescharacteristic, complemented
136#16839971C2211yescharacteristic, complemented
137#16839970C2211yescharacteristic, complemented
138#16839967C2211yescharacteristic, complemented
139#16839925C2211yescharacteristic
140#16839925C2211yescharacteristic
141#16839925C2211yescharacteristic
142#16839922C2211yescharacteristic
143#16839919C2211yescharacteristic
144#16839919C2211yescharacteristic, complemented
145#16839919C2211yescharacteristic, complemented
146#16839917C2211yescharacteristic, complemented
147#16839917C2211yescharacteristic, complemented
148#16839916C2211yescharacteristic
149#16839914C2211yescharacteristic
150#16839911C2211yescharacteristic
151#16839905C2211yescharacteristic
152#16839904C2211yescharacteristic
153#16839902C2211yescharacteristic
154#16839900C2211yescharacteristic
155#16839900C2211yescharacteristic, complemented
156#16839899C2211yescharacteristic, complemented
157#16839891C2211yescharacteristic, complemented
158#16839889C2211yescharacteristic, complemented
159#16839868C2211yescharacteristic, complemented
160#16839868C2211yescharacteristic, complemented
161#16839868C2211yescharacteristic, complemented
162#16839867C2211yescharacteristic, complemented
163#16839865C2211yescharacteristic
164#16839862C2211yescharacteristic
165#16839859C2211yescharacteristic, complemented
166#16839859C2211yescharacteristic, complemented
167C4×#11758202C2211yescharacteristic, complemented
168#16839854C2211yescharacteristic, complemented
169#16839849C2211yescharacteristic
170C4×#11758200C2211yescharacteristic
171#16839839C2211yescharacteristic
172#16839838C2211yescharacteristic
173#16839833C2211yescharacteristic
174#16839833C2211yescharacteristic, complemented
175#16839832C2211yescharacteristic
176#16839831C2211yescharacteristic, complemented
177#16839823C2211yescharacteristic, complemented
178#16839822C2211yescharacteristic, complemented
179#16839818C2211yescharacteristic
180#16839787C2211yescharacteristic, complemented
181#16839784C2211yescharacteristic
182#16839772C2211yescharacteristic, complemented
183#16839769C2211yescharacteristic
184#16839769C2211yescharacteristic, complemented
185#16839765C2211yescharacteristic
186#16839759C2211yescharacteristic
187#16839755C2211yescharacteristic
188C61×#542C2211yescharacteristic
189C61×#542C2211yescharacteristic, complemented
190C61×#476C2211yescharacteristic
191C61×#476C2211yescharacteristic, complemented
192C61×#475C2211yescharacteristic, complemented
193C61×#475C2211yescharacteristic, complemented
194C61×#470C2211yescharacteristic, complemented
195C61×#469C2211yescharacteristic
196C61×#465C2211yescharacteristic
197C61×#465C2211yescharacteristic, complemented
198C61×#464C2211yescharacteristic
199C61×#464C2211yescharacteristic, complemented
200C61×#463C2211yescharacteristic
201C61×#463C2211yescharacteristic
202C61×#424C2211yescharacteristic, complemented
203C2×#11758222C2311yescharacteristic
204C2×#11758224C2311yescharacteristic
205C2×#11758224C2311yescharacteristic
206C22×Dic122C2311yescharacteristic
207C22×Dic122C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209C2×Q8×D61C2311yescharacteristic
210C2×Q8×D61C2311yescharacteristic
211C2×D4×D61C2311yescharacteristic
212#14519810—42no—
213#14519806—42no—
214#14519806—42no—
215#14519801—42no—
216C2×Dic244—42no—
217C2×Dic244C2311yescharacteristic
218C2×Dic244C2311yescharacteristic
219C2×Dic244C2311yescharacteristic
220C2×Dic244C2311yescharacteristic
221C2×Dic244C2311yescharacteristic
222C2×Dic244C2311yescharacteristic
223C2×#11758202C2311yescharacteristic
224C2×#11758202C2311yescharacteristic
225C2×#11758202C2311yescharacteristic
226C2×#11758202C2311yescharacteristic
227C2×#11758202C2311yescharacteristic
228Q16×D61—42no—
229C2×#11758190C2311yescharacteristic
230C2×#11758190C2311yescharacteristic
231C2×#11758200C2311yescharacteristic
232C2×#11758200C2311yescharacteristic
233C2×#11758200C2311yescharacteristic
234C2×#11758200C2311yescharacteristic
235C2×#11758200C2311yescharacteristic
236C2×#11758201C2311yescharacteristic
237C2×#11758199C2311yescharacteristic
238C2×#11758189C2311yescharacteristic
239C2×#11758189C2311yescharacteristic
240C2×#11758189C2311yescharacteristic
241C2×C8×D61C2311yescharacteristic
242#14519777—21no—
243#14519777C2311yescharacteristic
244#14519777C2311yescharacteristic
245#14519776—21no—
246#14519776—21no—
247#14519776—21no—
248#14519776C2311yescharacteristic
249#14519776C2311yescharacteristic
250#14519775—21no—
251#14519775—21no—
252#14519775C2311yescharacteristic
253#14519775C2311yescharacteristic
254#14519772—21no—
255#14519772—21no—
256#14519772—21no—
257#14519772—21no—
258#14519772—21no—
259#14519772D411yescharacteristic
260#14519771—21no—
261#14519770—21no—
262#14519770—21no—
263#14519770—21no—
264#14519770—21no—
265#14519770—21no—
266#14519770—21no—
267#14519770D411yescharacteristic
268#14519768—21no—
269#14519767—21no—
270#14519767D411yescharacteristic
271#14519766—21no—
272#14519766—21no—
273#14519766C2311yescharacteristic
274#14519765C2311yescharacteristic
275#14519765C2311yescharacteristic
276#14519764—21no—
277#14519764C2311yescharacteristic
278#14519764C2311yescharacteristic
279#14519764C2311yescharacteristic
280#14519763—21no—
281#14519763—21no—
282#14519763—21no—
283#14519763—21no—
284#14519763—21no—
285#14519763—21no—
286#14519763—21no—
287#14519763—21no—
288#14519763—21no—
289#14519763D411yescharacteristic
290#14519762—21no—
291#14519762D411yescharacteristic
292#14519761—21no—
293#14519761—21no—
294#14519761—21no—
295#14519760—21no—
296#14519759—21no—
297#14519759—21no—
298#14519759—21no—
299#14519759D411yescharacteristic
300#14519757—21no—
301#14519757—21no—
302#14519757—21no—
303#14519757—21no—
304#14519757C2311yescharacteristic
305#14519757C2311yescharacteristic
306#14519757C2311yescharacteristic
307#14519757C2311yescharacteristic
308#14519757C2311yescharacteristic
309#14519756—21no—
310#14519756—21no—
311#14519755—21no—
312#14519755—21no—
313#14519755—21no—
314#14519755—21no—
315#14519755—21no—
316#14519755D411yescharacteristic
317#14519754—21no—
318#14519754—21no—
319#14519754—21no—
320#14519754—21no—
321#14519754—21no—
322#14519754—21no—
323#14519754—21no—
324#14519754—21no—
325#14519753—21no—
326#14519753—21no—
327#14519753C2311yescharacteristic
328#14519752C2311yescharacteristic
329#14519751—21no—
330#14519750—21no—
331#14519750—21no—
332#14519750D411yescharacteristic
333#14519749—21no—
334#14519749—21no—
335#14519749—21no—
336#14519748—21no—
337#14519748C2311yescharacteristic
338#14519747—21no—
339#14519745—21no—
340Q8×Dic61—21no—
341Q8×Dic61—21no—
342Q8×Dic61C2311yescharacteristic
343C4×Dic122—21no—
344C4×Dic122—21no—
345C4×Dic122C2311yescharacteristic
346C4×Dic122C2311yescharacteristic
347C4×Dic122C2311yescharacteristic
348C4×Dic122C2311yescharacteristic
349C4×Dic122C2311yescharacteristic
350#14519742—21no—
351#14519742—21no—
352#14519742—21no—
353#14519742—21no—
354#14519742—21no—
355#14519742C2311yescharacteristic
356#14519742C2311yescharacteristic
357#14519742C2311yescharacteristic
358#14519742C2311yescharacteristic
359#14519742C2311yescharacteristic
360C4×D244—21no—
361C4×D244C2311yescharacteristic
362D4×Dic61—21no—
363D4×Dic61—21no—
364D4×Dic61C2311yescharacteristic
365#14519739—21no—
366#14519739C2311yescharacteristic
367C4×C22⋊D61—21no—
368C4×C22⋊D61C2311yescharacteristic
369C4×C22⋊D61C2311yescharacteristic
370#14519737—21no—
371#14519737—21no—
372#14519737—21no—
373#14519737—21no—
374#14519736—21no—
375#14519736C2311yescharacteristic
376#14519735—21no—
377#14519735—21no—
378#14519735C2311yescharacteristic
379#14519735C2311yescharacteristic
380#14519734—21no—
381#14519734—21no—
382#14519734—21no—
383#14519734C2311yescharacteristic
384#14519733—21no—
385#14519733—21no—
386#14519733—21no—
387#14519733—21no—
388#14519733—21no—
389C2×#11758198—21no—
390C22⋊C4×D61—21no—
391C22⋊C4×D61—21no—
392C22⋊C4×D61—21no—
393C2×C4×Dic61—21no—
394C42×D61C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519708C2311yescharacteristic
398#14519708C2311yescharacteristic
399C4⋊#92418C2311yescharacteristic
400C4⋊#92418C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429C22⋊#92418C2311yescharacteristic
430C22⋊#92418C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519688C2311yescharacteristic
436#14519687C2311yescharacteristic
437#14519687C2311yescharacteristic
438#14519687C2311yescharacteristic
439C4×#92418C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×Q16×C61C2311yescharacteristic
442C2×SD16×C61C2311yescharacteristic
443C2×SD16×C61C2311yescharacteristic
444C2×D8×C61C2311yescharacteristic
445C2×M16×C61C2311yescharacteristic
446C22×C8×C61C2311yescharacteristic
447C4⋊Q8×C61C2311yescharacteristic
448C4⋊Q8×C61C2311yescharacteristic
449#126×C61—21no—
450#126×C61—21no—
451#124×C61—21no—
452#124×C61—21no—
453#124×C61C2311yescharacteristic
454#124×C61C2311yescharacteristic
455#123×C61—21no—
456#123×C61—21no—
457C22⋊Q8×C61—21no—
458C22⋊Q8×C61—21no—
459C22⋊Q8×C61C2311yescharacteristic
460C22⋊Q8×C61C2311yescharacteristic
461#121×C61C2311yescharacteristic
462#121×C61C2311yescharacteristic
463C4×Q8×C61C2311yescharacteristic
464C4×Q8×C61C2311yescharacteristic
465C4×D4×C61C2311yescharacteristic
466C4×D4×C61C2311yescharacteristic
467#117×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470#106×C61C2311yescharacteristic
471#106×C61C2311yescharacteristic
472C4⋊C8×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474C4⋊C8×C61C2311yescharacteristic
475C4⋊C8×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C23×D61—21no—
485C2×Q8×C61—21no—
486C2×Q8×C61—21no—
487C2×Q8×C61C2411yescharacteristic
488C2×Q8×C61C2411yescharacteristic
489C2×D4×C61—21no—
490C2×D4×C61—21no—
491C2×D4×C61C2411yescharacteristic
492C2×D4×C61C2411yescharacteristic
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C22×C4×C61C2411yescharacteristic
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61C2×D411yescharacteristic
502C2×C22⋊D61C2×D411yescharacteristic
503C22×Dic61—21no—
504C22×Dic61—21no—
505C22×Dic61—21no—
506C22×Dic61—21no—
507C22×Dic61—21no—
508Q8×D61—22no—
509Q8×D61—41no—
510Q8×D61—41no—
511Q8×D61—41no—
512Q8×D61—41no—
513Q8×D61—41no—
514#11758224—22no—
515#11758224—41no—
516#11758224—41no—
517#11758224—41no—
518D4×D61—41no—
519D4×D61—41no—
520#11758222—41no—
521#11758222—41no—
522C2×D244—21no—
523C2×D244C2×D411yescharacteristic
524C2×D244C2411yescharacteristic
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61C2×D411yescharacteristic
531C2×C4×D61C2×D411yescharacteristic
532C2×C4×D61C2411yescharacteristic
533C2×C4×D61C2411yescharacteristic
534C2×Dic122—22no—
535C2×Dic122—21no—
536C2×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122—41no—
543C2×Dic122—41no—
544C2×Dic122—41no—
545C2×Dic122C2×D411yescharacteristic
546C2×Dic122C2411yescharacteristic
547C2×Dic122C2411yescharacteristic
548C2×Dic122C2411yescharacteristic
549C2×Dic122C2411yescharacteristic
550C2×Dic122C2411yescharacteristic
551Q16×C61—41no—
552SD16×C61—41no—
553SD16×C61—41no—
554D8×C61—41no—
555M16×C61—41no—
556C2×C8×C61—41no—
557C2×C8×C61C2411yescharacteristic
558C2×C8×C61C2411yescharacteristic
559C2×C8×C61C2411yescharacteristic
560C2×C8×C61C2411yescharacteristic
561C4⋊C4×C61—21no—
562C4⋊C4×C61—21no—
563C4⋊C4×C61—21no—
564C4⋊C4×C61—21no—
565C4⋊C4×C61—21no—
566C4⋊C4×C61—21no—
567C4⋊C4×C61C2×D411yescharacteristic
568C4⋊C4×C61C2×D411yescharacteristic
569C4⋊C4×C61C2411yescharacteristic
570C4⋊C4×C61C2411yescharacteristic
571C4⋊C4×C61C2411yescharacteristic
572C4⋊C4×C61C2411yescharacteristic
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C22⋊C4×C61—21no—
583C22⋊C4×C61C2×D411yescharacteristic
584C22⋊C4×C61C2×D411yescharacteristic
585C42×C61—21no—
586C42×C61—21no—
587C42×C61C2411yescharacteristic
588C42×C61C2411yescharacteristic
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594C22⋊Dic61—21no—
595C22⋊Dic61—21no—
596C22⋊Dic61—21no—
597C22⋊Dic61—21no—
598C22⋊Dic61C2×D411yescharacteristic
599C22⋊Dic61C2×D411yescharacteristic
600#11758202—22no—
601#11758202—41no—
602#11758202—41no—
603#11758202—41no—
604#11758202—41no—
605#11758201—41no—
606#11758200—22no—
607#11758200—41no—
608#11758200—41no—
609#11758200—41no—
610#11758200—41no—
611#11758199—41no—
612#11758198—21no—
613#11758198—21no—
614#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
620#11758198—21no—
621#11758198—21no—
622#11758198—21no—
623#11758198—21no—
624#11758198—21no—
625#11758198—21no—
626#11758198—21no—
627#11758198—21no—
628#11758198C2×D411yescharacteristic
629#11758198C2×D411yescharacteristic
630#11758198C2×D411yescharacteristic
631#11758198C2×D411yescharacteristic
632#11758198C2×D411yescharacteristic
633#11758198C2×D411yescharacteristic
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⋊Dic61C2×D411yescharacteristic
645C4⋊Dic61C2×D411yescharacteristic
646C4⋊Dic61C2411yescharacteristic
647C4⋊Dic61C2411yescharacteristic
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652#11758196—21no—
653#11758196—21no—
654#11758196—21no—
655#11758196—21no—
656#11758196—21no—
657#11758196—21no—
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196C2×D411yescharacteristic
665#11758196C2×D411yescharacteristic
666#11758196C2×D411yescharacteristic
667#11758196C2×D411yescharacteristic
668#11758196C2×D411yescharacteristic
669#11758196C2×D411yescharacteristic
670C4×Dic61—21no—
671C4×Dic61—21no—
672C4×Dic61—21no—
673C4×Dic61—21no—
674C4×Dic61—21no—
675C4×Dic61—21no—
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61C2×D411yescharacteristic
684C4×Dic61C2×D411yescharacteristic
685C4×Dic61C2411yescharacteristic
686C4×Dic61C2411yescharacteristic
687C2×#92418C2411yescharacteristic
688C2×#92418C2411yescharacteristic
689C2×#92418C2411yescharacteristic
690C2×#92418C2411yescharacteristic
691Dic244—22no—
692Dic244—22no—
693Dic244—22no—
694Dic244—41no—
695Dic244—41no—
696Dic244—41no—
697#11758190—22no—
698#11758190—41no—
699#11758189—41no—
700#11758189—41no—
701#11758189—41no—
702C8×D61—41no—
703C23×C61—21no—
704C23×C61—21no—
705C23×C61C22×D411yescharacteristic
706C22×D61—21no—
707C22×D61—42no—
708C22×D61—81no—
709C22×D61—81no—
710C22×D61C22×D411yescharacteristic
711C22×D61C22×D411yescharacteristic
712Q8×C61—21no—
713Q8×C61—21no—
714Q8×C61—21no—
715Q8×C61—21no—
716Q8×C61—81no—
717Q8×C61—81no—
718D4×C61—21no—
719D4×C61—21no—
720D4×C61—21no—
721D4×C61—21no—
722D4×C61—81no—
723D4×C61—81no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—81no—
733C2×C4×C61—81no—
734C2×C4×C61C22×D411yescharacteristic
735C2×C4×C61C22×D411yescharacteristic
736C2×C4×C61C22×D411yescharacteristic
737C2×C4×C61C22×D411yescharacteristic
738C2×C4×C61C22×D411yescharacteristic
739C2×C4×C61C2511yescharacteristic
740C22⋊D61—41no—
741C22⋊D61—41no—
742C22⋊D61—42no—
743C22⋊D61—81no—
744C22⋊D61—81no—
745C22⋊D61—81no—
746C22⋊D61—81no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—42no—
755C2×Dic61—42no—
756C2×Dic61—42no—
757C2×Dic61—81no—
758C2×Dic61—81no—
759C2×Dic61C22×D411yescharacteristic
760C2×Dic61C22×D411yescharacteristic
761C2×Dic61C22×D411yescharacteristic
762C2×Dic61C22×D411yescharacteristic
763C2×Dic61C22×D411yescharacteristic
764C2×Dic61C22×D411yescharacteristic
765D244—21no—
766D244—21no—
767D244—41no—
768D244—81no—
769C4×D61—21no—
770C4×D61—21no—
771C4×D61—21no—
772C4×D61—21no—
773C4×D61—41no—
774C4×D61—41no—
775C4×D61—42no—
776C4×D61—81no—
777C4×D61—81no—
778C4×D61—81no—
779C4×D61—81no—
780Dic122—21no—
781Dic122—21no—
782Dic122—21no—
783Dic122—21no—
784Dic122—21no—
785Dic122—21no—
786Dic122—21no—
787Dic122—21no—
788Dic122—21no—
789Dic122—41no—
790Dic122—42no—
791Dic122—42no—
792Dic122—81no—
793Dic122—81no—
794Dic122—81no—
795Dic122—81no—
796Dic122—81no—
797Dic122H(5,𝔽2)12yes—
798C8×C61—21no—
799C8×C61—21no—
800C8×C61—21no—
801C8×C61—21no—
802#92418—21no—
803#92418—21no—
804#92418—21no—
805#92418—21no—
806#62091—611nomaximal, Sylow
807C22×C61—21no—
808C22×C61—21no—
809C22×C61—21no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61—41no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61—41no—
816C22×C61C23×D411yescharacteristic
817C2×D61—21no—
818C2×D61—21no—
819C2×D61—21no—
820C2×D61—21no—
821C2×D61—21no—
822C2×D61—21no—
823C2×D61—41no—
824C2×D61—41no—
825C2×D61—41no—
826C2×D61—162no—
827C4×C61—21no—
828C4×C61—21no—
829C4×C61—21no—
830C4×C61—21no—
831C4×C61—21no—
832C4×C61—41no—
833C4×C61—41no—
834C4×C61—41no—
835C4×C61—41no—
836C4×C61—41no—
837C4×C61—41no—
838C4×C61C2×H(5,𝔽2)11yescharacteristic
839C4×C61#58511yescharacteristic
840Dic61—21no—
841Dic61—21no—
842Dic61—21no—
843Dic61—21no—
844Dic61—22no—
845Dic61—21no—
846Dic61—21no—
847Dic61—41no—
848Dic61—41no—
849Dic61—41no—
850Dic61—41no—
851Dic61—41no—
852Dic61—41no—
853#3561—611no—
854#3518—611no—
855#3402—611no—
856#3402—611no—
857#3369—611no—
858#3369—611no—
859#3328—611no—
860#3328—611no—
861#3321—611no—
862#3321—611no—
863#3311—611no—
864#3311—611no—
865#3275—611no—
866#3275—611no—
867#3270—611no—
868#3270—611no—
869#3270—611no—
870#3270—611no—
871#3263—611no—
872#3263D6111yescharacteristic, complemented
873#3255—611no—
874#3225—611no—
875#3225—611no—
876#3215—611no—
877#3121—611no—
878#3121—611no—
879#3116—611no—
880#3044—611no—
881#3044—611no—
882#3040—611no—
883#2995—611no—
884C2×C61—41no—
885C2×C61—81no—
886C2×C61—81no—
887C2×C61#348811yescharacteristic
888C2×C61#358611yescharacteristic
889C2×C61#358611yescharacteristic
890D61—41no—
891D61—41no—
892D61—81no—
893C2×#137—611no—
894C2×#137—611no—
895C2×#137—611no—
896C2×AGL(1,ℤ/8)—611no—
897C22×Q16—611no—
898C22×Q16—611no—
899#563—1221no—
900#562—1221no—
901Q82—611no—
902#556—611no—
903#556—611no—
904#556—611no—
905#556—611no—
906#556—611no—
907#556—1221no—
908#556—1221no—
909#556—1221no—
910#555—611no—
911#555—1221no—
912#551—1221no—
913#551—1221no—
914D4×Q8—611no—
915D4×Q8—611no—
916D4×Q8—611no—
917#548—611no—
918#548—611no—
919#548—611no—
920#548—611no—
921#546—611no—
922#546—611no—
923#543—1221no—
924#542—611no—
925#542—611no—
926#542—1221no—
927#542—1221no—
928#542—1221no—
929#542—1221no—
930#542C2×D6111yescharacteristic
931#542C2×D6111yescharacteristic, complemented
932#538—1221no—
933#536—611no—
934#536—611no—
935#533—611no—
936#533—611no—
937#533—1221no—
938#529—611no—
939#529—1221no—
940C2×#124—611no—
941#519—611no—
942#519—611no—
943C4×#41—611no—
944#497—611no—
945#497—611no—
946#497—611no—
947#497—611no—
948#495—611no—
949#495—611no—
950#489—611no—
951#489—611no—
952#489—611no—
953#489—611no—
954#487—611no—
955#487—611no—
956#485—611no—
957#485—611no—
958#485—611no—
959#485—611no—
960#482—611no—
961#482—611no—
962#477—611no—
963#476—611no—
964#476C2×D6111yescharacteristic
965#476C2×D6111yescharacteristic, complemented
966#475—611no—
967#475—611no—
968#475—611no—
969#475—611no—
970#475C2×D6111yescharacteristic, complemented
971#475C2×D6111yescharacteristic, complemented
972#470—611no—
973#470—611no—
974#470—611no—
975#470—611no—
976#470—611no—
977#470C2×D6111yescharacteristic, complemented
978#469—611no—
979#469C2×D6111yescharacteristic
980#465—611no—
981#465—611no—
982#465C2×D6111yescharacteristic
983#465C2×D6111yescharacteristic, complemented
984#464—611no—
985#464—611no—
986#464—611no—
987#464—611no—
988#464—611no—
989#464—611no—
990#464—611no—
991#464—611no—
992#464—611no—
993#464—611no—
994#464—611no—
995#464—611no—
996#464C2×D6111yescharacteristic
997#464C2×D6111yescharacteristic, complemented
998#463—611no—
999#463—611no—
1000#463—611no—
1001#463—611no—
1002#463C2×D6111yescharacteristic
1003#463C2×D6111yescharacteristic
1004#462—611no—
1005#462—611no—
1006#462—611no—
1007#462—611no—
1008#462—611no—
1009#462—611no—
1010#462—611no—
1011#462—611no—
1012#462—611no—
1013#461—611no—
1014#452—611no—
1015#452—611no—
1016#452—611no—
1017#452—611no—
1018#451—611no—
1019#451—611no—
1020#451—611no—
1021#451—611no—
1022#451—611no—
1023#451—611no—
1024#450—611no—
1025#450—611no—
1026#449—611no—
1027#449—611no—
1028#448—611no—
1029#448—611no—
1030#448—611no—
1031#448—611no—
1032#446—611no—
1033#446—611no—
1034#441—611no—
1035#441—611no—
1036#441—611no—
1037#441—611no—
1038#440—611no—
1039#440—611no—
1040#440—611no—
1041#440—611no—
1042C4×Q16—611no—
1043C4×Q16—611no—
1044C4×SD16—611no—
1045C4×SD16—611no—
1046#436—611no—
1047#436—611no—
1048#435—611no—
1049#435—611no—
1050#435—611no—
1051#435—611no—
1052#433—611no—
1053#433—611no—
1054#432—611no—
1055#424—611no—
1056#424C2×D6111yescharacteristic, complemented
1057#423—611no—
1058#419—611no—
1059#419—611no—
1060#419—611no—
1061#418—611no—
1062#416—611no—
1063#416—611no—
1064C61#6209111yescharacteristic, complemented, Sylow
1065C2×#41—611no—
1066C2×#41—611no—
1067C2×#41—611no—
1068C22×Q8—611no—
1069C22×Q8—611no—
1070C22×Q8—611no—
1071C22×Q8—611no—
1072C22×Q8—611no—
1073C22×D4—611no—
1074#137—2442no—
1075#137—2442no—
1076#137—2442no—
1077AGL(1,ℤ/8)—2442no—
1078C2×Q16—611no—
1079C2×Q16—611no—
1080C2×Q16—611no—
1081C2×Q16—611no—
1082C2×Q16—611no—
1083C2×Q16—611no—
1084C2×Q16—611no—
1085C2×Q16—611no—
1086C2×Q16—611no—
1087C2×Q16—611no—
1088C2×Q16—611no—
1089C2×Q16—2442no—
1090C2×Q16—2442no—
1091C2×Q16C22×D6111yescharacteristic
1092C2×SD16—611no—
1093C2×SD16—611no—
1094C2×SD16—611no—
1095C2×SD16—611no—
1096C2×SD16—611no—
1097C2×SD16—611no—
1098C2×SD16—611no—
1099C2×SD16—611no—
1100C2×SD16C22×D6111yescharacteristic
1101C2×SD16C22×D6111yescharacteristic
1102C2×D8—611no—
1103C2×D8C22×D6111yescharacteristic
1104C2×M16—611no—
1105C2×M16—611no—
1106C2×M16—611no—
1107C2×M16C22×D6111yescharacteristic
1108C22×C8—611no—
1109C22×C8C22×D6111yescharacteristic
1110C4⋊Q8—611no—
1111C4⋊Q8—611no—
1112C4⋊Q8—611no—
1113C4⋊Q8—611no—
1114C4⋊Q8—611no—
1115C4⋊Q8—611no—
1116C4⋊Q8—1221no—
1117C4⋊Q8—1221no—
1118C4⋊Q8—1221no—
1119C4⋊Q8—1221no—
1120C4⋊Q8—1221no—
1121C4⋊Q8—1221no—
1122C4⋊Q8C22×D6111yescharacteristic
1123C4⋊Q8C22×D6111yescharacteristic
1124#126—21no—
1125#126—21no—
1126#126—611no—
1127#126—611no—
1128#126—1221no—
1129#126—1221no—
1130#126—1221no—
1131#126—1221no—
1132#126—1221no—
1133#126—1221no—
1134#126—1221no—
1135#126—1221no—
1136#126—1221no—
1137#126—1221no—
1138#126—1221no—
1139#126—1221no—
1140#125—611no—
1141#125—1221no—
1142#125—1221no—
1143#124—21no—
1144#124—21no—
1145#124—611no—
1146#124—611no—
1147#124—611no—
1148#124—611no—
1149#124—611no—
1150#124—611no—
1151#124—611no—
1152#124—1221no—
1153#124—1221no—
1154#124—1221no—
1155#124—1221no—
1156#124—1221no—
1157#124—1221no—
1158#124—1221no—
1159#124—1221no—
1160#124—1221no—
1161#124—1221no—
1162#124—1221no—
1163#124—1221no—
1164#124C22×D6111yescharacteristic
1165#124C22×D6111yescharacteristic
1166#123—21no—
1167#123—21no—
1168#123—611no—
1169#123—611no—
1170#123—1221no—
1171#123—1221no—
1172#123—1221no—
1173#123—1221no—
1174#123—1221no—
1175#123—1221no—
1176#123—1221no—
1177#123—1221no—
1178C22⋊Q8—21no—
1179C22⋊Q8—21no—
1180C22⋊Q8—611no—
1181C22⋊Q8—611no—
1182C22⋊Q8—611no—
1183C22⋊Q8—611no—
1184C22⋊Q8—611no—
1185C22⋊Q8—611no—
1186C22⋊Q8—611no—
1187C22⋊Q8—1221no—
1188C22⋊Q8—1221no—
1189C22⋊Q8—1221no—
1190C22⋊Q8—1221no—
1191C22⋊Q8—1221no—
1192C22⋊Q8—1221no—
1193C22⋊Q8—1221no—
1194C22⋊Q8—1221no—
1195C22⋊Q8—1221no—
1196C22⋊Q8—1221no—
1197C22⋊Q8—1221no—
1198C22⋊Q8—1221no—
1199C22⋊Q8—1221no—
1200C22⋊Q8—1221no—
1201C22⋊Q8—1221no—
1202C22⋊Q8—1221no—
1203C22⋊Q8—1221no—
1204C22⋊Q8—1221no—
1205C22⋊Q8—1221no—
1206C22⋊Q8—1221no—
1207C22⋊Q8—1221no—
1208C22⋊Q8C22×D6111yescharacteristic
1209C22⋊Q8C22×D6111yescharacteristic
1210#121—611no—
1211#121—611no—
1212#121—611no—
1213#121—1221no—
1214#121—1221no—
1215#121—1221no—
1216#121—1221no—
1217#121—1221no—
1218#121—1221no—
1219#121—1221no—
1220#121C22×D6111yescharacteristic
1221#121C22×D6111yescharacteristic
1222#120—1221no—
1223#120—1221no—
1224C4×Q8—611no—
1225C4×Q8—611no—
1226C4×Q8—611no—
1227C4×Q8—611no—
1228C4×Q8—611no—
1229C4×Q8—611no—
1230C4×Q8—611no—
1231C4×Q8—611no—
1232C4×Q8—611no—
1233C4×Q8—611no—
1234C4×Q8—611no—
1235C4×Q8—1221no—
1236C4×Q8—1221no—
1237C4×Q8—1221no—
1238C4×Q8—1221no—
1239C4×Q8—1221no—
1240C4×Q8—1221no—
1241C4×Q8—1221no—
1242C4×Q8—1221no—
1243C4×Q8—1221no—
1244C4×Q8C22×D6111yescharacteristic
1245C4×Q8C22×D6111yescharacteristic
1246C4×D4—611no—
1247C4×D4—611no—
1248C4×D4—611no—
1249C4×D4—611no—
1250C4×D4—611no—
1251C4×D4—1221no—
1252C4×D4—1221no—
1253C4×D4—1221no—
1254C4×D4—1221no—
1255C4×D4—1221no—
1256C4×D4—1221no—
1257C4×D4—1221no—
1258C4×D4—1221no—
1259C4×D4—1221no—
1260C4×D4C22×D6111yescharacteristic
1261C4×D4C22×D6111yescharacteristic
1262#117—611no—
1263#117—611no—
1264#117—611no—
1265#117—611no—
1266#117—1221no—
1267#117—1221no—
1268#117—1221no—
1269#117—1221no—
1270#117—1221no—
1271#117—1221no—
1272#117—1221no—
1273#117—1221no—
1274#117—1221no—
1275#117—1221no—
1276#117—1221no—
1277#117C22×D6111yescharacteristic
1278C2×C22⋊C4—1221no—
1279C2×C22⋊C4—1221no—
1280C2×C22⋊C4—1221no—
1281C2×C22⋊C4—1221no—
1282C2×C42—611no—
1283C2×C42—1221no—
1284#107—611no—
1285#107—611no—
1286#106—611no—
1287#106—611no—
1288#106C22×D6111yescharacteristic
1289#106C22×D6111yescharacteristic
1290#106C22×D6111yescharacteristic
1291#106C22×D6111yescharacteristic
1292C4⋊C8—611no—
1293C4⋊C8—611no—
1294C4⋊C8—611no—
1295C4⋊C8—611no—
1296C4⋊C8—611no—
1297C4⋊C8—611no—
1298C4⋊C8C22×D6111yescharacteristic
1299C4⋊C8C22×D6111yescharacteristic
1300C4⋊C8C22×D6111yescharacteristic
1301C4⋊C8C22×D6111yescharacteristic
1302#103—611no—
1303#103—611no—
1304#103—611no—
1305#103—611no—
1306#103—611no—
1307#103—611no—
1308#103—611no—
1309#103—611no—
1310#103—611no—
1311#103—611no—
1312#103—611no—
1313#103—611no—
1314#103—611no—
1315#103—611no—
1316#103—611no—
1317#103—611no—
1318#103—611no—
1319#103—611no—
1320#103C22×D6111yescharacteristic
1321#103C22×D6111yescharacteristic
1322#103C22×D6111yescharacteristic
1323#103C22×D6111yescharacteristic
1324#102—611no—
1325#102—611no—
1326#102—611no—
1327#102—611no—
1328#102—611no—
1329#102—611no—
1330#102C22×D6111yescharacteristic
1331#102C22×D6111yescharacteristic
1332#102C22×D6111yescharacteristic
1333#102C22×D6111yescharacteristic
1334C22⋊C8—611no—
1335C22⋊C8—611no—
1336C22⋊C8—611no—
1337C22⋊C8—611no—
1338C22⋊C8—611no—
1339C22⋊C8—611no—
1340#97—611no—
1341#97—611no—
1342#97—611no—
1343#97—611no—
1344C4×C8—611no—
1345C4×C8—611no—
1346C24—1221no—
1347#41—1222no—
1348#41—2441no—
1349#41—2441no—
1350#41—2441no—
1351#41—2441no—
1352#41—2441no—
1353C2×Q8—21no—
1354C2×Q8—21no—
1355C2×Q8—611no—
1356C2×Q8—611no—
1357C2×Q8—611no—
1358C2×Q8—611no—
1359C2×Q8—611no—
1360C2×Q8—611no—
1361C2×Q8—1221no—
1362C2×Q8—1221no—
1363C2×Q8—1221no—
1364C2×Q8—1221no—
1365C2×Q8—1221no—
1366C2×Q8—1222no—
1367C2×Q8—1221no—
1368C2×Q8—1221no—
1369C2×Q8—1222no—
1370C2×Q8—2441no—
1371C2×Q8—2441no—
1372C2×Q8—2441no—
1373C2×Q8—2441no—
1374C2×Q8—2441no—
1375C2×Q8—2441no—
1376C2×Q8—2441no—
1377C2×Q8—2441no—
1378C2×Q8C23×D6111yescharacteristic
1379C2×Q8C23×D6111yescharacteristic
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—611no—
1383C2×D4—611no—
1384C2×D4—611no—
1385C2×D4—611no—
1386C2×D4—1221no—
1387C2×D4—1221no—
1388C2×D4—1221no—
1389C2×D4—1221no—
1390C2×D4—1221no—
1391C2×D4—1221no—
1392C2×D4—2441no—
1393C2×D4—2441no—
1394C2×D4C23×D6111yescharacteristic
1395C2×D4C23×D6111yescharacteristic
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—611no—
1399C22×C4—611no—
1400C22×C4—611no—
1401C22×C4—611no—
1402C22×C4—1221no—
1403C22×C4—1221no—
1404C22×C4—1221no—
1405C22×C4—1221no—
1406C22×C4—1221no—
1407C22×C4—1221no—
1408C22×C4—1221no—
1409C22×C4—1221no—
1410C22×C4—1221no—
1411C22×C4—1221no—
1412C22×C4C23×D6111yescharacteristic
1413Q16—41no—
1414Q16—1222no—
1415Q16—1222no—
1416Q16—1222no—
1417Q16—1222no—
1418Q16—2441no—
1419Q16—2441no—
1420Q16—2441no—
1421Q16—2441no—
1422Q16—2441no—
1423Q16—2441no—
1424Q16—2441no—
1425SD16—41no—
1426SD16—41no—
1427SD16—1222no—
1428SD16—1222no—
1429SD16—2441no—
1430SD16—2441no—
1431SD16—2441no—
1432SD16—2441no—
1433SD16—2441no—
1434SD16—2441no—
1435D8—41no—
1436D8—2441no—
1437M16—41no—
1438M16—2441no—
1439M16—2441no—
1440M16—2441no—
1441C2×C8—41no—
1442C2×C8—611no—
1443C2×C8—611no—
1444C2×C8—611no—
1445C2×C8—611no—
1446C2×C8—2441no—
1447C2×C8C23×D6111yescharacteristic
1448C2×C8C23×D6111yescharacteristic
1449C2×C8C23×D6111yescharacteristic
1450C2×C8C23×D6111yescharacteristic
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—611no—
1458C4⋊C4—611no—
1459C4⋊C4—611no—
1460C4⋊C4—611no—
1461C4⋊C4—611no—
1462C4⋊C4—611no—
1463C4⋊C4—611no—
1464C4⋊C4—611no—
1465C4⋊C4—611no—
1466C4⋊C4—611no—
1467C4⋊C4—1221no—
1468C4⋊C4—1221no—
1469C4⋊C4—1221no—
1470C4⋊C4—1221no—
1471C4⋊C4—1221no—
1472C4⋊C4—1221no—
1473C4⋊C4—1221no—
1474C4⋊C4—1221no—
1475C4⋊C4—1221no—
1476C4⋊C4—1221no—
1477C4⋊C4—1221no—
1478C4⋊C4—1221no—
1479C4⋊C4—1221no—
1480C4⋊C4—1221no—
1481C4⋊C4—1221no—
1482C4⋊C4—1221no—
1483C4⋊C4—1221no—
1484C4⋊C4—1221no—
1485C4⋊C4—1221no—
1486C4⋊C4—1221no—
1487C4⋊C4—1221no—
1488C4⋊C4—1221no—
1489C4⋊C4—1221no—
1490C4⋊C4—1221no—
1491C4⋊C4—1221no—
1492C4⋊C4—1221no—
1493C4⋊C4D4×D6111yescharacteristic
1494C4⋊C4D4×D6111yescharacteristic
1495C4⋊C4C23×D6111yescharacteristic
1496C4⋊C4C23×D6111yescharacteristic
1497C4⋊C4C23×D6111yescharacteristic
1498C4⋊C4C23×D6111yescharacteristic
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—611no—
1510C22⋊C4—611no—
1511C22⋊C4—611no—
1512C22⋊C4—611no—
1513C22⋊C4—611no—
1514C22⋊C4—611no—
1515C22⋊C4—611no—
1516C22⋊C4—611no—
1517C22⋊C4—1221no—
1518C22⋊C4—1221no—
1519C22⋊C4—1221no—
1520C22⋊C4—1221no—
1521C22⋊C4—1221no—
1522C22⋊C4—1221no—
1523C22⋊C4—1221no—
1524C22⋊C4—1221no—
1525C22⋊C4—1221no—
1526C22⋊C4—1221no—
1527C22⋊C4—1221no—
1528C22⋊C4—1221no—
1529C22⋊C4—1221no—
1530C22⋊C4—1221no—
1531C22⋊C4—1221no—
1532C22⋊C4—1221no—
1533C22⋊C4—1221no—
1534C22⋊C4—1221no—
1535C22⋊C4—1221no—
1536C22⋊C4—1221no—
1537C22⋊C4—1221no—
1538C22⋊C4—1221no—
1539C22⋊C4—1221no—
1540C22⋊C4—1221no—
1541C22⋊C4—1221no—
1542C22⋊C4D4×D6111yescharacteristic
1543C22⋊C4D4×D6111yescharacteristic
1544C42—21no—
1545C42—21no—
1546C42—611no—
1547C42—611no—
1548C42—611no—
1549C42—611no—
1550C42—1221no—
1551C42—1221no—
1552C42—1221no—
1553C42—1221no—
1554C42—1221no—
1555C42—1221no—
1556C42—1221no—
1557C42—1221no—
1558C42—1221no—
1559C42—1221no—
1560C42—1221no—
1561C42—1221no—
1562C42—1221no—
1563C42C23×D6111yescharacteristic
1564C42C23×D6111yescharacteristic
1565C23—21no—
1566C23—21no—
1567C23—611no—
1568C23—611no—
1569C23—1221no—
1570C23—4881no—
1571C23—4881no—
1572C23—2442no—
1573C23C2×D4×D6111yescharacteristic
1574Q8—21no—
1575Q8—21no—
1576Q8—21no—
1577Q8—21no—
1578Q8—81no—
1579Q8—81no—
1580Q8—612no—
1581Q8—1221no—
1582Q8—1221no—
1583Q8—1221no—
1584Q8—1221no—
1585Q8—1221no—
1586Q8—1221no—
1587Q8—1221no—
1588Q8—1221no—
1589Q8—1221no—
1590Q8—4881no—
1591Q8—4881no—
1592Q8—4881no—
1593Q8—4881no—
1594Q8—4881no—
1595Q8—2441no—
1596Q8—2442no—
1597Q8—2442no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—81no—
1603D4—81no—
1604D4—1221no—
1605D4—1221no—
1606D4—4881no—
1607D4—4881no—
1608D4—4881no—
1609D4—4881no—
1610D4—4881no—
1611D4—2441no—
1612D4—2441no—
1613D4—2441no—
1614D4—2442no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—81no—
1624C2×C4—81no—
1625C2×C4—611no—
1626C2×C4—611no—
1627C2×C4—611no—
1628C2×C4—611no—
1629C2×C4—611no—
1630C2×C4—611no—
1631C2×C4—1221no—
1632C2×C4—1221no—
1633C2×C4—1221no—
1634C2×C4—1221no—
1635C2×C4—1221no—
1636C2×C4—1221no—
1637C2×C4—1221no—
1638C2×C4—1221no—
1639C2×C4—1221no—
1640C2×C4—1221no—
1641C2×C4—1221no—
1642C2×C4—4881no—
1643C2×C4—4881no—
1644C2×C4—4881no—
1645C2×C4—4881no—
1646C2×C4—4881no—
1647C2×C4—4881no—
1648C2×C4—2441no—
1649C2×C4—2441no—
1650C2×C4—2442no—
1651C2×C4—2442no—
1652C2×C4—2442no—
1653C2×C4—2442no—
1654C2×C4C2×D4×D6111yescharacteristic
1655C2×C4C2×D4×D6111yescharacteristic
1656C2×C4C2×D4×D6111yescharacteristic
1657C2×C4C2×D4×D6111yescharacteristic
1658C2×C4C2×D4×D6111yescharacteristic
1659C2×C4C24×D6111yescharacteristic
1660C8—21no—
1661C8—21no—
1662C8—21no—
1663C8—21no—
1664C8—1221no—
1665C8—1221no—
1666C8—1221no—
1667C8—1221no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—1221no—
1678C22—1221no—
1679C22—1221no—
1680C22—1221no—
1681C22—1221no—
1682C22—1221no—
1683C22—9762no—
1684C22—2441no—
1685C22—2441no—
1686C22—2441no—
1687C22C22×D4×D6111yescharacteristic
1688C4—21no—
1689C4—21no—
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—1221no—
1700C4—1221no—
1701C4—1222no—
1702C4—1221no—
1703C4—1221no—
1704C4—1221no—
1705C4—1221no—
1706C4—2441no—
1707C4—2441no—
1708C4—2441no—
1709C4—2441no—
1710C4—2441no—
1711C4—2441no—
1712C4H(5,𝔽2)×D6111yescharacteristic
1713C4#1684059911yescharacteristic
1714C2—41no—
1715C2—81no—
1716C2—81no—
1717C2—4881no—
1718C2—2441no—
1719C2—2441no—
1720C2#2145948311yescharacteristic
1721C2#2146060111yescharacteristic
1722C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3263C2
socleC22×C61C23×D4
hypercenter#3263D61
hypocenterC61#62091
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3263

Complements

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

NH ≅ G/Ntype
1. #21460390C2semidirect
2. #21459832C2semidirect
3. #21458898C2semidirect
4. #21458897C2semidirect
5. #21458562C2semidirect
6. #21458558C2semidirect
7. #21458099C2semidirect
8. #21458097C2semidirect
9. #21458011C2semidirect
10. #21458000C2semidirect
11. #21457861C2semidirect
12. #21457852C2semidirect
13. #21457457C2semidirect
14. #21457456C2semidirect
15. #21457396C2semidirect
16. #21457386C2semidirect
17. #21457386C2semidirect
18. #21457384C2semidirect
19. #21457291C2semidirect
20. #21457212C2semidirect
21. #21456925C2semidirect
22. #21456922C2semidirect
23. #21456820C2semidirect
24. #21456055C2semidirect
25. #21456042C2semidirect
26. #21455983C2semidirect
27. #21455350C2semidirect
28. #21455347C2semidirect
29. #21455308C2semidirect
30. #21454987C2semidirect
31. C61×#3263C2semidirect
36. C22×Dic244C22semidirect
37. C2×Q16×D61C22semidirect
40. #16840492C22semidirect
46. #16840481C22semidirect
49. #16840476C22semidirect
55. #16840425C22semidirect
68. #16840377C22semidirect
78. #16840239C22semidirect
79. #16840238C22semidirect
81. #16840157C22semidirect
84. #16840153C22semidirect
91. #16840114C22semidirect
92. #16840111C22semidirect
95. #16840106C22semidirect
96. #16840100C22semidirect
99. #16840054C22semidirect
101. #16840046C22semidirect
102. #16840046C22semidirect
103. #16840046C22semidirect
104. #16840044C22semidirect
107. #16840021C22semidirect
112. #16839990C22semidirect
121. #16839983C22semidirect
129. #16839973C22semidirect
130. #16839973C22semidirect
131. #16839973C22semidirect
132. #16839973C22semidirect
133. #16839972C22semidirect
134. #16839971C22semidirect
135. #16839971C22semidirect
136. #16839971C22semidirect
137. #16839970C22semidirect
138. #16839967C22semidirect
144. #16839919C22semidirect
145. #16839919C22semidirect
146. #16839917C22semidirect
147. #16839917C22semidirect
155. #16839900C22semidirect
156. #16839899C22semidirect
157. #16839891C22semidirect
158. #16839889C22semidirect
159. #16839868C22semidirect
160. #16839868C22semidirect
161. #16839868C22semidirect
162. #16839867C22semidirect
165. #16839859C22semidirect
166. #16839859C22semidirect
167. C4×#11758202C22semidirect
168. #16839854C22semidirect
174. #16839833C22semidirect
176. #16839831C22semidirect
177. #16839823C22semidirect
178. #16839822C22semidirect
180. #16839787C22semidirect
182. #16839772C22semidirect
184. #16839769C22semidirect
189. C61×#542C22semidirect
191. C61×#476C22semidirect
192. C61×#475C22semidirect
193. C61×#475C22semidirect
194. C61×#470C22semidirect
197. C61×#465C22semidirect
199. C61×#464C22semidirect
202. C61×#424C22semidirect
872. #3263D61semidirect
931. #542C2×D61semidirect
965. #476C2×D61semidirect
970. #475C2×D61semidirect
971. #475C2×D61semidirect
977. #470C2×D61semidirect
983. #465C2×D61semidirect
997. #464C2×D61semidirect
1056. #424C2×D61semidirect
1064. C61#62091semidirect

Maximal subgroups

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

subgroupindex
#214603902
#214598322
#214588982
#214588972
#214585622
#214585582
#214580992
#214580972
#214580112
#214580002
#214578612
#214578522
#214574572
#214574562
#214573962
#214573862
#214573842
#214572912
#214572122
#214569252
#214569222
#214568202
#214560552
#214560422
#214559832
#214553502
#214553472
#214553082
#214549872
C61×#32632
#6209161