Finite Group Databasebeta

← #30570880

Subgroups — #30570880

Order 15616.

1722 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460282C211yesmaximal, characteristic, complemented
2#21459614C211yesmaximal, characteristic, complemented
3#21458776C211yesmaximal, characteristic, complemented
4#21458773C211yesmaximal, characteristic, complemented
5#21458768C211yesmaximal, characteristic, complemented
6#21458763C211yesmaximal, characteristic, complemented
7#21458723C211yesmaximal, characteristic, complemented
8#21458715C211yesmaximal, characteristic, complemented
9#21458713C211yesmaximal, characteristic, complemented
10#21458614C211yesmaximal, characteristic, complemented
11#21458611C211yesmaximal, characteristic, complemented
12#21458579C211yesmaximal, characteristic, complemented
13#21458577C211yesmaximal, characteristic, complemented
14#21458574C211yesmaximal, characteristic, complemented
15#21458568C211yesmaximal, characteristic, complemented
16#21458527C211yesmaximal, characteristic, complemented
17#21458525C211yesmaximal, characteristic, complemented
18#21457120C211yesmaximal, characteristic, complemented
19#21457114C211yesmaximal, characteristic, complemented
20#21457079C211yesmaximal, characteristic, complemented
21#21457073C211yesmaximal, characteristic, complemented
22#21457062C211yesmaximal, characteristic, complemented
23#21457015C211yesmaximal, characteristic, complemented
24#21456064C211yesmaximal, characteristic, complemented
25#21456059C211yesmaximal, characteristic, complemented
26#21456008C211yesmaximal, characteristic, complemented
27#21456001C211yesmaximal, characteristic, complemented
28#21455962C211yesmaximal, characteristic, complemented
29#21455908C211yesmaximal, characteristic, complemented
30#21454922C211yesmaximal, characteristic, complemented
31C61×#3384C211yesmaximal, characteristic, complemented
32#16840508—21no—
33#16840508—21no—
34#16840497C2211yescharacteristic, complemented
35#16840495C2211yescharacteristic, complemented
36#16840495C2211yescharacteristic, complemented
37#16840489C2211yescharacteristic, complemented
38#16840473C2211yescharacteristic
39#16840473C2211yescharacteristic
40#16840472C2211yescharacteristic
41#16840471C2211yescharacteristic
42#16840471C2211yescharacteristic
43#16840470—21no—
44#16840469C2211yescharacteristic
45#16840468C2211yescharacteristic, complemented
46#16840466—21no—
47#16840466—21no—
48#16840433C2211yescharacteristic, complemented
49#16840427C2211yescharacteristic
50#16840427C2211yescharacteristic, complemented
51Q8×C22⋊D61—21no—
52#16840422—21no—
53#16840413—21no—
54#16840389C2211yescharacteristic
55#16840389C2211yescharacteristic
56#16840387—21no—
57#16840387—21no—
58#16840386C2211yescharacteristic
59#16840382—21no—
60#16840377C2211yescharacteristic
61#16840368C2211yescharacteristic
62#16840363C2211yescharacteristic
63#16840359—21no—
64#16840358—21no—
65#16840335—21no—
66#16840317C2211yescharacteristic
67#16840316C2211yescharacteristic
68#16840309C2211yescharacteristic
69#16840297C2211yescharacteristic
70C2×#14519753—21no—
71C22⋊Q8×D61—21no—
72#16840234C2211yescharacteristic
73#16840234C2211yescharacteristic
74C4×D4×D61C2211yescharacteristic
75#16840172C2211yescharacteristic, complemented
76#16840170C2211yescharacteristic, complemented
77#16840169C2211yescharacteristic, complemented
78#16840169C2211yescharacteristic, complemented
79#16840169C2211yescharacteristic, complemented
80#16840168C2211yescharacteristic, complemented
81#16840163C2211yescharacteristic, complemented
82#16840161C2211yescharacteristic, complemented
83#16840159C2211yescharacteristic, complemented
84#16840127C2211yescharacteristic, complemented
85#16840125C2211yescharacteristic, complemented
86#16840125C2211yescharacteristic, complemented
87#16840125C2211yescharacteristic, complemented
88#16840124C2211yescharacteristic, complemented
89#16840124C2211yescharacteristic, complemented
90#16840122C2211yescharacteristic, complemented
91#16840120C2211yescharacteristic, complemented
92#16840117C2211yescharacteristic, complemented
93#16840115C2211yescharacteristic, complemented
94#16840110C2211yescharacteristic, complemented
95#16840107C2211yescharacteristic, complemented
96#16840106C2211yescharacteristic
97#16840106C2211yescharacteristic
98#16840094C2211yescharacteristic
99#16840089C2211yescharacteristic
100#16840089C2211yescharacteristic
101#16840088C2211yescharacteristic
102#16840088C2211yescharacteristic
103#16840084C2211yescharacteristic
104#16840084C2211yescharacteristic
105#16840082C2211yescharacteristic
106#16840079C2211yescharacteristic
107#16840077C2211yescharacteristic
108#16840072C2211yescharacteristic, complemented
109#16840070C2211yescharacteristic, complemented
110#16840068C2211yescharacteristic, complemented
111#16840068C2211yescharacteristic, complemented
112#16840065C2211yescharacteristic
113#16840065C2211yescharacteristic, complemented
114#16840063C2211yescharacteristic, complemented
115#16840062C2211yescharacteristic, complemented
116#16840062C2211yescharacteristic, complemented
117#16840061C2211yescharacteristic, complemented
118#16840061C2211yescharacteristic, complemented
119#16840061C2211yescharacteristic, complemented
120#16840061C2211yescharacteristic, complemented
121#16840060C2211yescharacteristic
122#16840059C2211yescharacteristic
123#16840059C2211yescharacteristic
124#16840051C2211yescharacteristic
125#16840051C2211yescharacteristic
126#16840051C2211yescharacteristic, complemented
127#16840051C2211yescharacteristic, complemented
128#16840050C2211yescharacteristic
129#16840049C2211yescharacteristic, complemented
130#16840049C2211yescharacteristic, complemented
131#16840046C2211yescharacteristic, complemented
132#16840044C2211yescharacteristic, complemented
133#16840043C2211yescharacteristic, complemented
134#16840042C2211yescharacteristic, complemented
135#16840041C2211yescharacteristic, complemented
136#16840040C2211yescharacteristic
137#16840039C2211yescharacteristic
138#16839978C2211yescharacteristic
139#16839978C2211yescharacteristic
140#16839977C2211yescharacteristic
141#16839977C2211yescharacteristic
142#16839976C2211yescharacteristic
143#16839975C2211yescharacteristic
144#16839958C2211yescharacteristic
145#16839957C2211yescharacteristic
146#16839956C2211yescharacteristic
147#16839956C2211yescharacteristic
148#16839955C2211yescharacteristic
149#16839955C2211yescharacteristic
150#16839914C2211yescharacteristic
151#16839897C2211yescharacteristic
152#16839897C2211yescharacteristic
153#16839894C2211yescharacteristic
154#16839893C2211yescharacteristic, complemented
155#16839892C2211yescharacteristic, complemented
156#16839891C2211yescharacteristic, complemented
157#16839891C2211yescharacteristic, complemented
158#16839890C2211yescharacteristic, complemented
159#16839890C2211yescharacteristic, complemented
160#16839889C2211yescharacteristic, complemented
161#16839875C2211yescharacteristic
162#16839873C2211yescharacteristic
163#16839873C2211yescharacteristic
164#16839873C2211yescharacteristic
165#16839872C2211yescharacteristic
166#16839872C2211yescharacteristic
167#16839872C2211yescharacteristic
168#16839872C2211yescharacteristic
169#16839871C2211yescharacteristic
170#16839871C2211yescharacteristic
171#16839864C2211yescharacteristic
172#16839861C2211yescharacteristic
173#16839859C2211yescharacteristic
174#16839859C2211yescharacteristic
175#16839849C2211yescharacteristic
176C4×#11758200C2211yescharacteristic
177C4×D488C2211yescharacteristic
178#16839844C2211yescharacteristic
179C4×#11758199C2211yescharacteristic
180#16839842C2211yescharacteristic
181#16839842C2211yescharacteristic
182#16839824C2211yescharacteristic
183#16839822C2211yescharacteristic
184#16839822C2211yescharacteristic
185#16839821C2211yescharacteristic
186#16839818C2211yescharacteristic
187#16839817C2211yescharacteristic
188C61×#554C2211yescharacteristic, complemented
189D4×Q8×C61C2211yescharacteristic
190C61×#501C2211yescharacteristic, complemented
191C61×#501C2211yescharacteristic, complemented
192C61×#498C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic
194C61×#478C2211yescharacteristic
195C61×#476C2211yescharacteristic
196C61×#476C2211yescharacteristic, complemented
197C61×#476C2211yescharacteristic, complemented
198C61×#474C2211yescharacteristic, complemented
199C61×#446C2211yescharacteristic, complemented
200C61×#442C2211yescharacteristic
201C61×#442C2211yescharacteristic
202C4×D8×C61C2211yescharacteristic
203C2×#11758222—21no—
204C2×#11758222—21no—
205C2×Q8×D61—21no—
206C2×Q8×D61—21no—
207C2×D4×D61C2311yescharacteristic
208C22×C4×D61—21no—
209C2×#11758190C2311yescharacteristic
210C2×#11758200C2311yescharacteristic
211C2×D488C2311yescharacteristic
212C2×D488C2311yescharacteristic
213C2×#11758199C2311yescharacteristic
214C2×#11758199C2311yescharacteristic
215C2×#11758199C2311yescharacteristic
216#14519777C2311yescharacteristic
217#14519776—21no—
218#14519776D411yescharacteristic
219#14519776C2311yescharacteristic
220#14519776C2311yescharacteristic
221#14519776C2311yescharacteristic
222#14519776C2311yescharacteristic
223#14519775—21no—
224#14519775—21no—
225#14519775D411yescharacteristic
226#14519774C2311yescharacteristic
227#14519773C2311yescharacteristic
228#14519773C2311yescharacteristic
229#14519772—21no—
230#14519772—21no—
231#14519770—21no—
232#14519769C2311yescharacteristic
233#14519769C2311yescharacteristic
234#14519768C2311yescharacteristic
235#14519768C2311yescharacteristic
236#14519768C2311yescharacteristic
237#14519768C2311yescharacteristic
238#14519768C2311yescharacteristic
239#14519767—21no—
240#14519767—21no—
241#14519767—21no—
242#14519767—21no—
243#14519767D411yescharacteristic
244#14519767D411yescharacteristic
245#14519766—21no—
246#14519766—21no—
247#14519765C2311yescharacteristic
248#14519765C2311yescharacteristic
249#14519764C2311yescharacteristic
250#14519763—21no—
251#14519763—21no—
252#14519763—21no—
253#14519763—21no—
254#14519762—21no—
255#14519762—21no—
256#14519762—21no—
257#14519762—21no—
258#14519762—21no—
259#14519762—21no—
260#14519760—21no—
261#14519760—21no—
262#14519760—21no—
263#14519760—21no—
264#14519759—21no—
265#14519759—21no—
266#14519759—21no—
267#14519757—21no—
268#14519757—21no—
269#14519757—21no—
270#14519757—21no—
271#14519757D411yescharacteristic
272#14519757C2311yescharacteristic
273#14519756—21no—
274#14519756—21no—
275#14519756—21no—
276#14519756—21no—
277#14519755—21no—
278#14519755—21no—
279#14519755—21no—
280#14519755—21no—
281#14519755—21no—
282#14519755—21no—
283#14519755—21no—
284#14519755—21no—
285#14519755—21no—
286#14519755—21no—
287#14519755D411yescharacteristic
288#14519755D411yescharacteristic
289#14519754—21no—
290#14519754—21no—
291#14519754—21no—
292#14519754—21no—
293#14519754—21no—
294#14519754—21no—
295#14519753—21no—
296#14519753—21no—
297#14519753—21no—
298#14519753—21no—
299#14519753—21no—
300#14519753—21no—
301#14519753—21no—
302#14519753—21no—
303#14519753—21no—
304#14519753—21no—
305#14519753—21no—
306#14519753D411yescharacteristic
307#14519752—21no—
308#14519752—21no—
309#14519752C2311yescharacteristic
310#14519752C2311yescharacteristic
311#14519751—21no—
312#14519751—21no—
313#14519750—21no—
314#14519750—21no—
315#14519750—21no—
316#14519750—21no—
317#14519748C2311yescharacteristic
318Q8×Dic61—21no—
319C4×Dic122C2311yescharacteristic
320C4×Dic122C2311yescharacteristic
321C4×Dic122C2311yescharacteristic
322C4×Dic122C2311yescharacteristic
323#14519742—21no—
324#14519742—21no—
325#14519742C2311yescharacteristic
326#14519742C2311yescharacteristic
327C4×D244C2311yescharacteristic
328C4×D244C2311yescharacteristic
329C4×D244C2311yescharacteristic
330C4×D244C2311yescharacteristic
331C4×D244C2311yescharacteristic
332D4×Dic61C2311yescharacteristic
333D4×Dic61C2311yescharacteristic
334D4×Dic61C2311yescharacteristic
335#14519739—21no—
336#14519739—21no—
337#14519739C2311yescharacteristic
338#14519739C2311yescharacteristic
339#14519739C2311yescharacteristic
340#14519739C2311yescharacteristic
341#14519739C2311yescharacteristic
342#14519739C2311yescharacteristic
343#14519739C2311yescharacteristic
344C4×C22⋊D61—21no—
345C4×C22⋊D61—21no—
346C4×C22⋊D61—21no—
347C4×C22⋊D61—21no—
348C4×C22⋊D61—21no—
349C4×C22⋊D61—21no—
350#14519737—21no—
351#14519737—21no—
352#14519737—21no—
353#14519735—21no—
354#14519735C2311yescharacteristic
355#14519735C2311yescharacteristic
356#14519734C2311yescharacteristic
357#14519734C2311yescharacteristic
358C2×C4⋊Dic61—21no—
359C2×#11758196—21no—
360C2×#11758196—21no—
361C4⋊C4×D61—21no—
362C4⋊C4×D61—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61C2311yescharacteristic
366C2×#11758198—21no—
367C2×#11758198—21no—
368C22⋊C4×D61—21no—
369C22⋊C4×D61—21no—
370C22⋊C4×D61—21no—
371C42×D61C2311yescharacteristic
372#14519711C2311yescharacteristic
373#14519711C2311yescharacteristic
374#14519710C2311yescharacteristic
375#14519710C2311yescharacteristic
376#14519710C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519709C2311yescharacteristic
380#14519708C2311yescharacteristic
381#14519708C2311yescharacteristic
382#14519708C2311yescharacteristic
383#14519708C2311yescharacteristic
384#14519708C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387C4⋊#92418C2311yescharacteristic
388C4⋊#92418C2311yescharacteristic
389C4⋊#92418C2311yescharacteristic
390#14519706C2311yescharacteristic
391#14519706C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519702C2311yescharacteristic
397#14519702C2311yescharacteristic
398#14519702C2311yescharacteristic
399#14519700C2311yescharacteristic
400#14519700C2311yescharacteristic
401#14519700C2311yescharacteristic
402#14519699C2311yescharacteristic
403#14519699C2311yescharacteristic
404#14519699C2311yescharacteristic
405#14519699C2311yescharacteristic
406#14519699C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519698C2311yescharacteristic
410#14519698C2311yescharacteristic
411#14519698C2311yescharacteristic
412#14519698C2311yescharacteristic
413#14519697C2311yescharacteristic
414#14519697C2311yescharacteristic
415#14519697C2311yescharacteristic
416#14519697C2311yescharacteristic
417#14519697C2311yescharacteristic
418#14519697C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519689C2311yescharacteristic
423#14519689C2311yescharacteristic
424#14519689C2311yescharacteristic
425#14519689C2311yescharacteristic
426#14519688C2311yescharacteristic
427#14519688C2311yescharacteristic
428#14519687C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432C4×#92418C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C22×Q8×C61—21no—
436C2×D8×C61C2311yescharacteristic
437C4⋊Q8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439C4⋊Q8×C61C2311yescharacteristic
440C4⋊Q8×C61C2311yescharacteristic
441#125×C61C2311yescharacteristic
442#125×C61C2311yescharacteristic
443C22⋊Q8×C61—21no—
444C22⋊Q8×C61—21no—
445C22⋊Q8×C61—21no—
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448C22⋊Q8×C61—21no—
449C4×Q8×C61C2311yescharacteristic
450C4×D4×C61C2311yescharacteristic
451C4×D4×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C2×C4⋊C4×C61—21no—
457#107×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#106×C61C2311yescharacteristic
461#106×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C23×D61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61—21no—
482C2×Q8×C61—21no—
483C2×Q8×C61—82no—
484C2×Q8×C61C2×D411yescharacteristic
485C2×D4×C61C2411yescharacteristic
486C2×D4×C61C2411yescharacteristic
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C22×Dic61—21no—
500C22×Dic61—21no—
501C22×Dic61—21no—
502Q8×D61—82no—
503Q8×D61—82no—
504D4×D61—22no—
505D4×D61—22no—
506#11758222—82no—
507#11758222—82no—
508C2×D244—21no—
509C2×D244—21no—
510C2×D244—21no—
511C2×D244—21no—
512C2×D244C2411yescharacteristic
513C2×D244C2411yescharacteristic
514C2×D244C2411yescharacteristic
515C2×C4×D61—21no—
516C2×C4×D61—21no—
517C2×C4×D61—21no—
518C2×C4×D61—21no—
519C2×C4×D61—21no—
520C2×C4×D61—21no—
521C2×C4×D61—21no—
522C2×C4×D61—21no—
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—82no—
529C2×C4×D61C2×D411yescharacteristic
530C2×C4×D61C2×D411yescharacteristic
531C2×C4×D61C2411yescharacteristic
532C2×Dic122—21no—
533C2×Dic122—21no—
534C2×Dic122—21no—
535C2×Dic122—21no—
536C2×Dic122—21no—
537C2×Dic122C2×D411yescharacteristic
538C2×Dic122C2×D411yescharacteristic
539C2×Dic122C2×D411yescharacteristic
540C2×Dic122C2411yescharacteristic
541D8×C61—22no—
542C2×C8×C61C2411yescharacteristic
543C2×C8×C61C2411yescharacteristic
544C2×C8×C61C2411yescharacteristic
545C2×C8×C61C2411yescharacteristic
546C4⋊C4×C61—21no—
547C4⋊C4×C61—21no—
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61C2×D411yescharacteristic
555C4⋊C4×C61C2×D411yescharacteristic
556C4⋊C4×C61C2×D411yescharacteristic
557C4⋊C4×C61C2411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C42×C61C2411yescharacteristic
570C42×C61C2411yescharacteristic
571C42×C61C2411yescharacteristic
572C22⋊Dic61—21no—
573C22⋊Dic61—21no—
574C22⋊Dic61—21no—
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578#11758200—22no—
579#11758199—22no—
580#11758199—22no—
581#11758199—22no—
582#11758198—21no—
583#11758198—21no—
584#11758198—21no—
585#11758198—21no—
586#11758198—21no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198C2×D411yescharacteristic
604#11758198C2×D411yescharacteristic
605#11758198C2×D411yescharacteristic
606#11758198C2×D411yescharacteristic
607C4⋊Dic61—21no—
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61C2×D411yescharacteristic
615C4⋊Dic61C2×D411yescharacteristic
616C4⋊Dic61C2×D411yescharacteristic
617C4⋊Dic61C2411yescharacteristic
618C4⋊Dic61C2411yescharacteristic
619C4⋊Dic61C2411yescharacteristic
620C4⋊Dic61C2411yescharacteristic
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196C2×D411yescharacteristic
639#11758196C2×D411yescharacteristic
640#11758196C2×D411yescharacteristic
641#11758196C2×D411yescharacteristic
642#11758196C2×D411yescharacteristic
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61C2×D411yescharacteristic
654C4×Dic61C2×D411yescharacteristic
655C4×Dic61C2411yescharacteristic
656C4×Dic61C2411yescharacteristic
657C4×Dic61C2411yescharacteristic
658C2×#92418C2411yescharacteristic
659C2×#92418C2411yescharacteristic
660C2×#92418C2411yescharacteristic
661C2×#92418C2411yescharacteristic
662D488—22no—
663D488—22no—
664#11758190—22no—
665C23×C61—21no—
666C23×C61—21no—
667C22×D61—21no—
668C22×D61—24no—
669C22×D61—21no—
670C22×D61—21no—
671C22×D61—81no—
672C22×D61—81no—
673C22×D61C22×D411yescharacteristic
674Q8×C61—41no—
675Q8×C61—42no—
676Q8×C61—81no—
677Q8×C61—81no—
678Q8×C61—81no—
679D4×C61—21no—
680D4×C61—21no—
681D4×C61—21no—
682D4×C612−1+412yes—
683C2×C4×C61—21no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—42no—
690C2×C4×C61—81no—
691C2×C4×C61—81no—
692C2×C4×C61—81no—
693C2×C4×C61—81no—
694C2×C4×C61—81no—
695C2×C4×C61C22×D411yescharacteristic
696C2×C4×C61C22×D411yescharacteristic
697C2×C4×C61C22×D411yescharacteristic
698C2×C4×C61C22×D411yescharacteristic
699C2×C4×C61C22×D411yescharacteristic
700C2×C4×C61C22×D411yescharacteristic
701C2×C4×C61C2511yescharacteristic
702C22⋊D61—24no—
703C22⋊D61—42no—
704C22⋊D61—81no—
705C22⋊D61—81no—
706C22⋊D61—81no—
707C22⋊D61—81no—
708C2×Dic61—21no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—81no—
714C2×Dic61—81no—
715C2×Dic61—81no—
716C2×Dic61C22×D411yescharacteristic
717C2×Dic61C22×D411yescharacteristic
718C2×Dic61C22×D411yescharacteristic
719C2×Dic61C22×D411yescharacteristic
720C2×Dic61C22×D411yescharacteristic
721C2×Dic61C22×D411yescharacteristic
722C2×Dic61C22×D411yescharacteristic
723D244—21no—
724D244—21no—
725D244—21no—
726D244—21no—
727D244—21no—
728D244—81no—
729D244—81no—
730D244—81no—
731D244—81no—
732D2442−1+412yes—
733C4×D61—21no—
734C4×D61—21no—
735C4×D61—41no—
736C4×D61—41no—
737C4×D61—42no—
738C4×D61—42no—
739C4×D61—81no—
740C4×D61—81no—
741C4×D61—81no—
742C4×D61—81no—
743C4×D61—81no—
744C4×D61—81no—
745C4×D61—81no—
746C4×D61—81no—
747C4×D61—81no—
748C4×D61—81no—
749C4×D61—81no—
750Dic122—21no—
751Dic122—21no—
752Dic122—41no—
753Dic122—41no—
754Dic122—41no—
755Dic122—42no—
756Dic122—81no—
757Dic122—81no—
758Dic122—81no—
759Dic122—81no—
760C8×C61—21no—
761C8×C61—21no—
762C8×C61—21no—
763C8×C61—21no—
764#92418—21no—
765#92418—21no—
766#92418—21no—
767#92418—21no—
768#61872—611nomaximal, Sylow
769C22×C61—22no—
770C22×C61—41no—
771C22×C61—41no—
772C22×C61—41no—
773C22×C61—41no—
774C22×C61—41no—
775C22×C61C23×D411yescharacteristic
776C2×D61—21no—
777C2×D61—21no—
778C2×D61—21no—
779C2×D61—22no—
780C2×D61—41no—
781C2×D61—41no—
782C2×D61—41no—
783C2×D61—41no—
784C2×D61—41no—
785C2×D61—41no—
786C2×D61—41no—
787C2×D61—41no—
788C2×D61—84no—
789C4×C61—21no—
790C4×C61—21no—
791C4×C61—21no—
792C4×C61—21no—
793C4×C61—21no—
794C4×C61—21no—
795C4×C61—41no—
796C4×C61—41no—
797C4×C61—41no—
798C4×C61—41no—
799C4×C61—41no—
800C4×C61—41no—
801C4×C61C2×2−1+411yescharacteristic
802C4×C61C2×2−1+411yescharacteristic
803Dic61—21no—
804Dic61—21no—
805Dic61—21no—
806Dic61—21no—
807Dic61—21no—
808Dic61—21no—
809Dic61—21no—
810Dic61—41no—
811Dic61—41no—
812Dic61—41no—
813Dic61—41no—
814Dic61—41no—
815#3554—611no—
816#3501—611no—
817#3389—611no—
818#3389—611no—
819#3388—611no—
820#3388—611no—
821#3384—611no—
822#3384—611no—
823#3384—611no—
824#3384D6111yescharacteristic, complemented
825#3373—611no—
826#3373—611no—
827#3370—611no—
828#3370—611no—
829#3370—611no—
830#3370—611no—
831#3366—611no—
832#3366—611no—
833#3244—611no—
834#3244—611no—
835#3241—611no—
836#3241—611no—
837#3240—611no—
838#3235—611no—
839#3122—611no—
840#3122—611no—
841#3118—611no—
842#3118—611no—
843#3114—611no—
844#3109—611no—
845#2987—611no—
846C2×C61—42no—
847C2×C61—81no—
848C2×C61#348611yescharacteristic
849C2×C61#358511yescharacteristic
850C2×C61#358511yescharacteristic
851D61—41no—
852D61—42no—
853D61—81no—
854D61—81no—
855#562—1221no—
856#562—1221no—
857#559—611no—
858#559—611no—
859#559—611no—
860#557—611no—
861#554—611no—
862#554—611no—
863#554—611no—
864#554—611no—
865#554—611no—
866#554—611no—
867#554—611no—
868#554—1221no—
869#554—1221no—
870#554—1221no—
871#554C2×D6111yescharacteristic, complemented
872#550—611no—
873D4×Q8—611no—
874D4×Q8—611no—
875D4×Q8—1221no—
876D4×Q8C2×D6111yescharacteristic
877#548—1221no—
878#547—1221no—
879#544—611no—
880#544—611no—
881#543—1221no—
882#543—1221no—
883#542—611no—
884#542—611no—
885#542—1221no—
886#540—611no—
887#540—611no—
888#539—1221no—
889#539—1221no—
890#536—1221no—
891#533—611no—
892#533—611no—
893#532—611no—
894#529—611no—
895C2×C22⋊Q8—1221no—
896C2×C22⋊Q8—1221no—
897#518—611no—
898#518—611no—
899C2×C4×D4—611no—
900#501—611no—
901#501—611no—
902#501—611no—
903#501—611no—
904#501—611no—
905#501—611no—
906#501C2×D6111yescharacteristic, complemented
907#501C2×D6111yescharacteristic, complemented
908#499—611no—
909#499—611no—
910#498—611no—
911#498C2×D6111yescharacteristic, complemented
912#490—611no—
913#490—611no—
914#490—611no—
915#490—611no—
916#489—611no—
917#489—611no—
918#489—611no—
919#489—611no—
920#488—611no—
921#488—611no—
922#486—611no—
923#486—611no—
924#485—611no—
925#485—611no—
926#483—611no—
927#482—611no—
928#482—611no—
929#482—611no—
930#482—611no—
931#482—611no—
932#482—611no—
933#481—611no—
934#481—611no—
935#480—611no—
936#479—611no—
937#479—611no—
938#479—611no—
939#479—611no—
940#478—611no—
941#478—611no—
942#478—611no—
943#478—611no—
944#478—611no—
945#478—611no—
946#478—611no—
947#478—611no—
948#478—611no—
949#478—611no—
950#478—611no—
951#478—611no—
952#478C2×D6111yescharacteristic
953#478C2×D6111yescharacteristic
954#476—611no—
955#476—611no—
956#476—611no—
957#476—611no—
958#476—611no—
959#476—611no—
960#476—611no—
961#476C2×D6111yescharacteristic
962#476C2×D6111yescharacteristic, complemented
963#476C2×D6111yescharacteristic, complemented
964#475—611no—
965#475—611no—
966#474—611no—
967#474—611no—
968#474—611no—
969#474—611no—
970#474—611no—
971#474C2×D6111yescharacteristic, complemented
972#463—611no—
973#463—611no—
974#463—611no—
975#463—611no—
976#463—611no—
977#463—611no—
978#459—611no—
979#459—611no—
980#459—611no—
981#459—611no—
982#459—611no—
983#459—611no—
984#450—611no—
985#447—611no—
986#447—611no—
987#447—611no—
988#446—611no—
989#446—611no—
990#446—611no—
991#446—611no—
992#446—611no—
993#446—611no—
994#446—611no—
995#446C2×D6111yescharacteristic, complemented
996#442—611no—
997#442—611no—
998#442—611no—
999#442—611no—
1000#442—611no—
1001#442—611no—
1002#442—611no—
1003#442—611no—
1004#442—611no—
1005#442—611no—
1006#442C2×D6111yescharacteristic
1007#442C2×D6111yescharacteristic
1008#440—611no—
1009#440—611no—
1010#440—611no—
1011#440—611no—
1012C4×SD16—611no—
1013C4×SD16—611no—
1014C4×D8—611no—
1015C4×D8—611no—
1016C4×D8—611no—
1017C4×D8—611no—
1018C4×D8—611no—
1019C4×D8C2×D6111yescharacteristic
1020#433—611no—
1021#433—611no—
1022#433—611no—
1023#433—611no—
1024#432—611no—
1025#432—611no—
1026C61#6187211yescharacteristic, complemented, Sylow
1027C2×#41—1221no—
1028C2×#41—1221no—
1029C22×Q8—21no—
1030C22×Q8—1221no—
1031C22×Q8—1221no—
1032C22×D4—611no—
1033C23×C4—1221no—
1034C2×SD16—611no—
1035C2×SD16—611no—
1036C2×D8—611no—
1037C2×D8—611no—
1038C2×D8—611no—
1039C2×D8—611no—
1040C2×D8—611no—
1041C2×D8C22×D6111yescharacteristic
1042C4⋊Q8—611no—
1043C4⋊Q8—611no—
1044C4⋊Q8—611no—
1045C4⋊Q8—611no—
1046C4⋊Q8—611no—
1047C4⋊Q8—611no—
1048C4⋊Q8—611no—
1049C4⋊Q8—1221no—
1050C4⋊Q8—1221no—
1051C4⋊Q8—1221no—
1052C4⋊Q8C22×D6111yescharacteristic
1053C4⋊Q8C22×D6111yescharacteristic
1054C4⋊Q8C22×D6111yescharacteristic
1055C4⋊Q8C22×D6111yescharacteristic
1056#127—611no—
1057#127—611no—
1058#127—611no—
1059#126—1221no—
1060#126—1221no—
1061#126—1221no—
1062#125—611no—
1063#125—611no—
1064#125—611no—
1065#125—611no—
1066#125—611no—
1067#125—611no—
1068#125—611no—
1069#125—611no—
1070#125—611no—
1071#125—1221no—
1072#125—1221no—
1073#125—1221no—
1074#125—1221no—
1075#125C22×D6111yescharacteristic
1076#125C22×D6111yescharacteristic
1077#124—611no—
1078#124—611no—
1079#124—611no—
1080#124—1221no—
1081#124—1221no—
1082#124—1221no—
1083#124—1221no—
1084#124—1221no—
1085#124—1221no—
1086#123—1221no—
1087#123—1221no—
1088#123—1221no—
1089#123—1221no—
1090#123—1221no—
1091#123—1221no—
1092#123—1221no—
1093#123—1221no—
1094#123—1221no—
1095#123—1221no—
1096#123—1221no—
1097#123—1221no—
1098#123—1221no—
1099C22⋊Q8—21no—
1100C22⋊Q8—21no—
1101C22⋊Q8—21no—
1102C22⋊Q8—21no—
1103C22⋊Q8—21no—
1104C22⋊Q8—21no—
1105C22⋊Q8—611no—
1106C22⋊Q8—611no—
1107C22⋊Q8—611no—
1108C22⋊Q8—611no—
1109C22⋊Q8—611no—
1110C22⋊Q8—1221no—
1111C22⋊Q8—1221no—
1112C22⋊Q8—1221no—
1113C22⋊Q8—1221no—
1114C22⋊Q8—1221no—
1115C22⋊Q8—1221no—
1116C22⋊Q8—1221no—
1117C22⋊Q8—1221no—
1118C22⋊Q8—1221no—
1119C22⋊Q8—1221no—
1120C22⋊Q8—1221no—
1121C22⋊Q8—1221no—
1122C22⋊Q8—1221no—
1123C22⋊Q8—1221no—
1124C22⋊Q8—1221no—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8—1221no—
1142C22⋊Q8—1221no—
1143C22⋊Q8—1221no—
1144C22⋊Q8—1221no—
1145#121—611no—
1146#121—611no—
1147#121—611no—
1148#121—1221no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155#121—1221no—
1156C4×Q8—611no—
1157C4×Q8—611no—
1158C4×Q8—611no—
1159C4×Q8—611no—
1160C4×Q8—611no—
1161C4×Q8—611no—
1162C4×Q8—1221no—
1163C4×Q8—1221no—
1164C4×Q8—1221no—
1165C4×Q8C22×D6111yescharacteristic
1166C4×D4—611no—
1167C4×D4—611no—
1168C4×D4—611no—
1169C4×D4—611no—
1170C4×D4—611no—
1171C4×D4—611no—
1172C4×D4—611no—
1173C4×D4—611no—
1174C4×D4—611no—
1175C4×D4—611no—
1176C4×D4—611no—
1177C4×D4—611no—
1178C4×D4—611no—
1179C4×D4—611no—
1180C4×D4—611no—
1181C4×D4—1221no—
1182C4×D4—1221no—
1183C4×D4—1221no—
1184C4×D4—1221no—
1185C4×D4—1221no—
1186C4×D4—1221no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4C22×D6111yescharacteristic
1193C4×D4C22×D6111yescharacteristic
1194C4×D4C22×D6111yescharacteristic
1195C4×D4C22×D6111yescharacteristic
1196C4×D4C22×D6111yescharacteristic
1197C4×D4C22×D6111yescharacteristic
1198#117—611no—
1199#117—611no—
1200#117—611no—
1201#117—611no—
1202#117—1221no—
1203C2×C4⋊C4—21no—
1204C2×C4⋊C4—611no—
1205C2×C4⋊C4—1221no—
1206C2×C4⋊C4—1221no—
1207C2×C4⋊C4—1221no—
1208C2×C4⋊C4—1221no—
1209C2×C4⋊C4—1221no—
1210C2×C4⋊C4—1221no—
1211C2×C4⋊C4—1221no—
1212C2×C22⋊C4—1221no—
1213C2×C22⋊C4—1221no—
1214C2×C22⋊C4—1221no—
1215C2×C22⋊C4—1221no—
1216C2×C22⋊C4—1221no—
1217C2×C42—611no—
1218#107—611no—
1219#107—611no—
1220#107—611no—
1221#107—611no—
1222#107—611no—
1223#107—611no—
1224#107—611no—
1225#107C22×D6111yescharacteristic
1226#107C22×D6111yescharacteristic
1227#107C22×D6111yescharacteristic
1228#106—611no—
1229#106—611no—
1230#106—611no—
1231#106—611no—
1232#106—611no—
1233#106—611no—
1234#106—611no—
1235#106—611no—
1236#106C22×D6111yescharacteristic
1237#106C22×D6111yescharacteristic
1238#106C22×D6111yescharacteristic
1239#106C22×D6111yescharacteristic
1240#106C22×D6111yescharacteristic
1241#106C22×D6111yescharacteristic
1242C4⋊C8—611no—
1243C4⋊C8—611no—
1244C4⋊C8—611no—
1245C4⋊C8—611no—
1246C4⋊C8—611no—
1247C4⋊C8—611no—
1248C4⋊C8—611no—
1249C4⋊C8—611no—
1250C4⋊C8—611no—
1251C4⋊C8C22×D6111yescharacteristic
1252C4⋊C8C22×D6111yescharacteristic
1253C4⋊C8C22×D6111yescharacteristic
1254#103—611no—
1255#103—611no—
1256#103—611no—
1257#103—611no—
1258#103—611no—
1259#103—611no—
1260#102—611no—
1261#102—611no—
1262#102—611no—
1263#102—611no—
1264#102—611no—
1265#102—611no—
1266#102—611no—
1267#102—611no—
1268#102—611no—
1269#102—611no—
1270#102—611no—
1271#102—611no—
1272#102—611no—
1273#102—611no—
1274#102—611no—
1275#102—611no—
1276#102—611no—
1277#102—611no—
1278#102—611no—
1279#102—611no—
1280#102C22×D6111yescharacteristic
1281#102C22×D6111yescharacteristic
1282#102C22×D6111yescharacteristic
1283#102C22×D6111yescharacteristic
1284#102C22×D6111yescharacteristic
1285#102C22×D6111yescharacteristic
1286C22⋊C8—611no—
1287C22⋊C8—611no—
1288C22⋊C8—611no—
1289C22⋊C8—611no—
1290#97—611no—
1291#97—611no—
1292#97—611no—
1293#97—611no—
1294#97—611no—
1295#97—611no—
1296#97C22×D6111yescharacteristic
1297#97C22×D6111yescharacteristic
1298C4×C8—611no—
1299C4×C8—611no—
1300C4×C8—611no—
1301C4×C8C22×D6111yescharacteristic
1302C24—1221no—
1303#41—4882no—
1304#41—4882no—
1305C2×Q8—21no—
1306C2×Q8—21no—
1307C2×Q8—21no—
1308C2×Q8—21no—
1309C2×Q8—82no—
1310C2×Q8—611no—
1311C2×Q8—611no—
1312C2×Q8—611no—
1313C2×Q8—611no—
1314C2×Q8—1221no—
1315C2×Q8—1221no—
1316C2×Q8—1221no—
1317C2×Q8—1221no—
1318C2×Q8—1221no—
1319C2×Q8—4882no—
1320C2×Q8—4882no—
1321C2×Q8D4×D6111yescharacteristic
1322C2×D4—611no—
1323C2×D4—611no—
1324C2×D4—611no—
1325C2×D4—1221no—
1326C2×D4—1221no—
1327C2×D4—1221no—
1328C2×D4—1221no—
1329C2×D4—1221no—
1330C2×D4—1221no—
1331C2×D4—1221no—
1332C2×D4—1222no—
1333C2×D4—1222no—
1334C2×D4—1221no—
1335C2×D4—1221no—
1336C2×D4—1221no—
1337C2×D4C23×D6111yescharacteristic
1338C2×D4C23×D6111yescharacteristic
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4—611no—
1346C22×C4—611no—
1347C22×C4—611no—
1348C22×C4—1221no—
1349C22×C4—1221no—
1350C22×C4—1221no—
1351C22×C4—1221no—
1352C22×C4—1221no—
1353C22×C4—1221no—
1354C22×C4—1221no—
1355C22×C4—1221no—
1356C22×C4—1221no—
1357C22×C4—1221no—
1358C22×C4—1221no—
1359C22×C4—1221no—
1360C22×C4—1221no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—4882no—
1365SD16—1222no—
1366SD16—1222no—
1367D8—22no—
1368D8—1222no—
1369D8—1222no—
1370D8—1222no—
1371D8—1222no—
1372D8—1222no—
1373C2×C8—611no—
1374C2×C8—611no—
1375C2×C8—611no—
1376C2×C8—611no—
1377C2×C8C23×D6111yescharacteristic
1378C2×C8C23×D6111yescharacteristic
1379C2×C8C23×D6111yescharacteristic
1380C2×C8C23×D6111yescharacteristic
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—611no—
1390C4⋊C4—611no—
1391C4⋊C4—611no—
1392C4⋊C4—611no—
1393C4⋊C4—611no—
1394C4⋊C4—611no—
1395C4⋊C4—611no—
1396C4⋊C4—611no—
1397C4⋊C4—611no—
1398C4⋊C4—611no—
1399C4⋊C4—611no—
1400C4⋊C4—611no—
1401C4⋊C4—611no—
1402C4⋊C4—611no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—1221no—
1407C4⋊C4—1221no—
1408C4⋊C4—1221no—
1409C4⋊C4—1221no—
1410C4⋊C4—1221no—
1411C4⋊C4—1221no—
1412C4⋊C4—1221no—
1413C4⋊C4—1221no—
1414C4⋊C4—1221no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4D4×D6111yescharacteristic
1431C4⋊C4D4×D6111yescharacteristic
1432C4⋊C4D4×D6111yescharacteristic
1433C4⋊C4C23×D6111yescharacteristic
1434C4⋊C4C23×D6111yescharacteristic
1435C4⋊C4C23×D6111yescharacteristic
1436C4⋊C4C23×D6111yescharacteristic
1437C4⋊C4C23×D6111yescharacteristic
1438C4⋊C4C23×D6111yescharacteristic
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—611no—
1446C22⋊C4—611no—
1447C22⋊C4—611no—
1448C22⋊C4—611no—
1449C22⋊C4—1221no—
1450C22⋊C4—1221no—
1451C22⋊C4—1221no—
1452C22⋊C4—1221no—
1453C22⋊C4—1221no—
1454C22⋊C4—1221no—
1455C22⋊C4—1221no—
1456C22⋊C4—1221no—
1457C22⋊C4—1221no—
1458C22⋊C4—1221no—
1459C22⋊C4—1221no—
1460C22⋊C4—1221no—
1461C22⋊C4—1221no—
1462C22⋊C4—1221no—
1463C22⋊C4—1221no—
1464C22⋊C4—1221no—
1465C22⋊C4—1221no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C42—611no—
1477C42—611no—
1478C42—611no—
1479C42—611no—
1480C42—611no—
1481C42—1221no—
1482C42—1221no—
1483C42—1221no—
1484C42—1221no—
1485C42—1221no—
1486C42C23×D6111yescharacteristic
1487C42C23×D6111yescharacteristic
1488C42C23×D6111yescharacteristic
1489C23—21no—
1490C23—21no—
1491C23—611no—
1492C23—1224no—
1493C23—1221no—
1494C23—1221no—
1495C23—1221no—
1496C23—4881no—
1497C23—4881no—
1498Q8—41no—
1499Q8—42no—
1500Q8—81no—
1501Q8—81no—
1502Q8—81no—
1503Q8—1221no—
1504Q8—1221no—
1505Q8—4881no—
1506Q8—4881no—
1507Q8—4881no—
1508Q8—4881no—
1509Q8—2441no—
1510Q8—2441no—
1511Q8—2441no—
1512Q8—2442no—
1513D4—21no—
1514D4—21no—
1515D4—21no—
1516D4—612no—
1517D4—1224no—
1518D4—1221no—
1519D4—1221no—
1520D4—1221no—
1521D4—1221no—
1522D4—1221no—
1523D4—4881no—
1524D4—4881no—
1525D4—4881no—
1526D4—4881no—
1527D4—4881no—
1528D4—4881no—
1529D4—4881no—
1530D4—4881no—
1531D4—2442no—
1532D4#1451982512yes—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—42no—
1540C2×C4—81no—
1541C2×C4—81no—
1542C2×C4—81no—
1543C2×C4—81no—
1544C2×C4—81no—
1545C2×C4—611no—
1546C2×C4—611no—
1547C2×C4—611no—
1548C2×C4—611no—
1549C2×C4—611no—
1550C2×C4—611no—
1551C2×C4—611no—
1552C2×C4—1221no—
1553C2×C4—1221no—
1554C2×C4—1221no—
1555C2×C4—1221no—
1556C2×C4—1221no—
1557C2×C4—1221no—
1558C2×C4—1221no—
1559C2×C4—4881no—
1560C2×C4—4881no—
1561C2×C4—4881no—
1562C2×C4—4881no—
1563C2×C4—4881no—
1564C2×C4—4881no—
1565C2×C4—4881no—
1566C2×C4—4881no—
1567C2×C4—4881no—
1568C2×C4—4881no—
1569C2×C4—4881no—
1570C2×C4—4881no—
1571C2×C4—4881no—
1572C2×C4—4881no—
1573C2×C4—2441no—
1574C2×C4—2441no—
1575C2×C4—2442no—
1576C2×C4—2442no—
1577C2×C4C2×D4×D6111yescharacteristic
1578C2×C4C2×D4×D6111yescharacteristic
1579C2×C4C2×D4×D6111yescharacteristic
1580C2×C4C2×D4×D6111yescharacteristic
1581C2×C4C2×D4×D6111yescharacteristic
1582C2×C4C2×D4×D6111yescharacteristic
1583C2×C4C24×D6111yescharacteristic
1584C8—21no—
1585C8—21no—
1586C8—21no—
1587C8—21no—
1588C8—1221no—
1589C8—1221no—
1590C8—1221no—
1591C8—1221no—
1592C22—22no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—1221no—
1599C22—1222no—
1600C22—1221no—
1601C22—1221no—
1602C22—4884no—
1603C22—2441no—
1604C22—2441no—
1605C22—2441no—
1606C22—2441no—
1607C22—2441no—
1608C22—2441no—
1609C22—2441no—
1610C22—2441no—
1611C22C22×D4×D6111yescharacteristic
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—21no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—1221no—
1625C4—1221no—
1626C4—1221no—
1627C4—1221no—
1628C4—1221no—
1629C4—1221no—
1630C4—1221no—
1631C4—2441no—
1632C4—2441no—
1633C4—2441no—
1634C4—2441no—
1635C4—2441no—
1636C42−1+4×D6111yescharacteristic
1637C4C2×#1451982511yescharacteristic
1638C2—42no—
1639C2—81no—
1640C2—4881no—
1641C2—4881no—
1642C2—2441no—
1643C2—2442no—
1644C2#2145946911yescharacteristic
1645C2#2146059511yescharacteristic
1646C2#2146059711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3384C2
socleC22×C61C23×D4
hypercenter#3384D61
hypocenterC61#61872
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3384

Complements

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

NH ≅ G/Ntype
1. #21460282C2semidirect
2. #21459614C2semidirect
3. #21458776C2semidirect
4. #21458773C2semidirect
5. #21458768C2semidirect
6. #21458763C2semidirect
7. #21458723C2semidirect
8. #21458715C2semidirect
9. #21458713C2semidirect
10. #21458614C2semidirect
11. #21458611C2semidirect
12. #21458579C2semidirect
13. #21458577C2semidirect
14. #21458574C2semidirect
15. #21458568C2semidirect
16. #21458527C2semidirect
17. #21458525C2semidirect
18. #21457120C2semidirect
19. #21457114C2semidirect
20. #21457079C2semidirect
21. #21457073C2semidirect
22. #21457062C2semidirect
23. #21457015C2semidirect
24. #21456064C2semidirect
25. #21456059C2semidirect
26. #21456008C2semidirect
27. #21456001C2semidirect
28. #21455962C2semidirect
29. #21455908C2semidirect
30. #21454922C2semidirect
31. C61×#3384C2semidirect
34. #16840497C22semidirect
35. #16840495C22semidirect
36. #16840495C22semidirect
37. #16840489C22semidirect
45. #16840468C22semidirect
48. #16840433C22semidirect
50. #16840427C22semidirect
75. #16840172C22semidirect
76. #16840170C22semidirect
77. #16840169C22semidirect
78. #16840169C22semidirect
79. #16840169C22semidirect
80. #16840168C22semidirect
81. #16840163C22semidirect
82. #16840161C22semidirect
83. #16840159C22semidirect
84. #16840127C22semidirect
85. #16840125C22semidirect
86. #16840125C22semidirect
87. #16840125C22semidirect
88. #16840124C22semidirect
89. #16840124C22semidirect
90. #16840122C22semidirect
91. #16840120C22semidirect
92. #16840117C22semidirect
93. #16840115C22semidirect
94. #16840110C22semidirect
95. #16840107C22semidirect
108. #16840072C22semidirect
109. #16840070C22semidirect
110. #16840068C22semidirect
111. #16840068C22semidirect
113. #16840065C22semidirect
114. #16840063C22semidirect
115. #16840062C22semidirect
116. #16840062C22semidirect
117. #16840061C22semidirect
118. #16840061C22semidirect
119. #16840061C22semidirect
120. #16840061C22semidirect
126. #16840051C22semidirect
127. #16840051C22semidirect
129. #16840049C22semidirect
130. #16840049C22semidirect
131. #16840046C22semidirect
132. #16840044C22semidirect
133. #16840043C22semidirect
134. #16840042C22semidirect
135. #16840041C22semidirect
154. #16839893C22semidirect
155. #16839892C22semidirect
156. #16839891C22semidirect
157. #16839891C22semidirect
158. #16839890C22semidirect
159. #16839890C22semidirect
160. #16839889C22semidirect
188. C61×#554C22semidirect
190. C61×#501C22semidirect
191. C61×#501C22semidirect
192. C61×#498C22semidirect
196. C61×#476C22semidirect
197. C61×#476C22semidirect
198. C61×#474C22semidirect
199. C61×#446C22semidirect
824. #3384D61semidirect
871. #554C2×D61semidirect
906. #501C2×D61semidirect
907. #501C2×D61semidirect
911. #498C2×D61semidirect
962. #476C2×D61semidirect
963. #476C2×D61semidirect
971. #474C2×D61semidirect
995. #446C2×D61semidirect
1026. C61#61872semidirect

Maximal subgroups

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

subgroupindex
#214602822
#214596142
#214587762
#214587732
#214587682
#214587632
#214587232
#214587152
#214587132
#214586142
#214586112
#214585792
#214585772
#214585742
#214585682
#214585272
#214585252
#214571202
#214571142
#214570792
#214570732
#214570622
#214570152
#214560642
#214560592
#214560082
#214560012
#214559622
#214559082
#214549222
C61×#33842
#6187261