Finite Group Databasebeta

← #30560345

Subgroups — #30560345

Order 15616.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459667C211yesmaximal, characteristic, complemented
2#21459630C211yesmaximal, characteristic, complemented
3#21458612C211yesmaximal, characteristic, complemented
4#21458611C211yesmaximal, characteristic, complemented
5#21458606C211yesmaximal, characteristic, complemented
6#21458594C211yesmaximal, characteristic, complemented
7#21458589C211yesmaximal, characteristic, complemented
8#21458586C211yesmaximal, characteristic, complemented
9#21458581C211yesmaximal, characteristic, complemented
10#21458562C211yesmaximal, characteristic, complemented
11#21458556C211yesmaximal, characteristic, complemented
12#21458527C211yesmaximal, characteristic, complemented
13#21458521C211yesmaximal, characteristic, complemented
14#21458489C211yesmaximal, characteristic, complemented
15#21458487C211yesmaximal, characteristic, complemented
16#21458469C211yesmaximal, characteristic, complemented
17#21458463C211yesmaximal, characteristic, complemented
18#21456211C211yesmaximal, characteristic, complemented
19#21456170C211yesmaximal, characteristic, complemented
20#21456168C211yesmaximal, characteristic, complemented
21#21455678C211yesmaximal, characteristic, complemented
22#21455676C211yesmaximal, characteristic, complemented
23#476×D61C211yesmaximal, characteristic, complemented
24#21455359C211yesmaximal, characteristic, complemented
25#21455353C211yesmaximal, characteristic, complemented
26#21455271C211yesmaximal, characteristic, complemented
27#21454764C211yesmaximal, characteristic, complemented
28#21454701C211yesmaximal, characteristic, complemented
29#21454697C211yesmaximal, characteristic, complemented
30#21454630C211yesmaximal, characteristic, complemented
31C61×#3373C211yesmaximal, characteristic, complemented
32C2×#14519801C2211yescharacteristic
33C2×#14519798C2211yescharacteristic
34C2×#14519796C2211yescharacteristic
35#16840497C2211yescharacteristic
36#16840495C2211yescharacteristic
37#16840494C2211yescharacteristic
38#16840492C2211yescharacteristic, complemented
39#16840492C2211yescharacteristic, complemented
40#16840490C2211yescharacteristic, complemented
41#16840487C2211yescharacteristic, complemented
42#16840484C2211yescharacteristic
43#16840481C2211yescharacteristic
44#16840474—21no—
45#16840471C2211yescharacteristic, complemented
46#16840471C2211yescharacteristic, complemented
47#16840466—21no—
48#16840466—21no—
49#16840461—21no—
50#16840457—21no—
51#16840433C2211yescharacteristic
52#16840432C2211yescharacteristic
53D4×Dic122C2211yescharacteristic, complemented
54Q8×C22⋊D61—21no—
55#16840425—21no—
56#16840410—21no—
57#16840391—21no—
58#16840391—21no—
59#16840389C2211yescharacteristic
60#16840389C2211yescharacteristic
61#16840348—21no—
62#16840346—21no—
63#16840330C2211yescharacteristic
64#16840325C2211yescharacteristic
65#16840316C2211yescharacteristic
66#16840314—21no—
67#16840311C2211yescharacteristic
68C2×#14519775—21no—
69C4⋊Q8×D61C2211yescharacteristic
70#16840271—21no—
71#16840270—21no—
72#16840244C2211yescharacteristic
73#16840241C2211yescharacteristic
74#16840241C2211yescharacteristic
75#16840241C2211yescharacteristic
76C4×#11758224C2211yescharacteristic
77C4×D4×D61C2211yescharacteristic
78#16840127C2211yescharacteristic
79#16840126C2211yescharacteristic
80#16840125C2211yescharacteristic
81#16840125C2211yescharacteristic
82#16840124C2211yescharacteristic
83#16840124C2211yescharacteristic, complemented
84#16840123C2211yescharacteristic
85#16840122C2211yescharacteristic, complemented
86#16840121C2211yescharacteristic, complemented
87#16840120C2211yescharacteristic
88#16840118C2211yescharacteristic
89#16840117C2211yescharacteristic
90#16840116C2211yescharacteristic
91#16840115C2211yescharacteristic
92#16840111C2211yescharacteristic, complemented
93#16840111C2211yescharacteristic, complemented
94#16840110C2211yescharacteristic
95#16840107C2211yescharacteristic
96#16840107C2211yescharacteristic
97#16840107C2211yescharacteristic, complemented
98#16840107C2211yescharacteristic, complemented
99#16840072C2211yescharacteristic, complemented
100#16840071C2211yescharacteristic, complemented
101#16840070C2211yescharacteristic, complemented
102#16840069C2211yescharacteristic, complemented
103#16840063C2211yescharacteristic, complemented
104#16840062C2211yescharacteristic, complemented
105#16840061C2211yescharacteristic, complemented
106#16840060C2211yescharacteristic, complemented
107#16840053C2211yescharacteristic
108#16840052C2211yescharacteristic
109#16840051C2211yescharacteristic
110#16840051C2211yescharacteristic
111#16840051C2211yescharacteristic, complemented
112#16840050C2211yescharacteristic
113#16840050C2211yescharacteristic
114#16840050C2211yescharacteristic, complemented
115#16840049C2211yescharacteristic
116#16840049C2211yescharacteristic, complemented
117#16840046C2211yescharacteristic, complemented
118#16840045C2211yescharacteristic, complemented
119#16840044C2211yescharacteristic, complemented
120#16839987C2211yescharacteristic
121#16839985C2211yescharacteristic
122#16839985C2211yescharacteristic, complemented
123#16839983C2211yescharacteristic
124#16839981C2211yescharacteristic
125#16839981C2211yescharacteristic, complemented
126#16839979C2211yescharacteristic
127#16839977C2211yescharacteristic
128#16839977C2211yescharacteristic, complemented
129#16839975C2211yescharacteristic
130#16839971C2211yescharacteristic, complemented
131#16839965C2211yescharacteristic, complemented
132#16839963C2211yescharacteristic
133#16839961C2211yescharacteristic
134#16839961C2211yescharacteristic
135#16839961C2211yescharacteristic, complemented
136#16839959C2211yescharacteristic
137#16839957C2211yescharacteristic
138#16839955C2211yescharacteristic
139#16839955C2211yescharacteristic
140#16839955C2211yescharacteristic, complemented
141#16839893C2211yescharacteristic, complemented
142#16839891C2211yescharacteristic, complemented
143#16839891C2211yescharacteristic, complemented
144#16839890C2211yescharacteristic, complemented
145#16839890C2211yescharacteristic, complemented
146C8×Dic122C2211yescharacteristic, complemented
147#16839886C2211yescharacteristic, complemented
148#16839874C2211yescharacteristic, complemented
149#16839872C2211yescharacteristic
150#16839872C2211yescharacteristic, complemented
151#16839871C2211yescharacteristic, complemented
152#16839870C2211yescharacteristic, complemented
153#16839868C2211yescharacteristic, complemented
154#16839867C2211yescharacteristic, complemented
155#16839866C2211yescharacteristic, complemented
156#16839864C2211yescharacteristic
157#16839862C2211yescharacteristic
158#16839853C2211yescharacteristic
159#16839853C2211yescharacteristic, complemented
160#16839853C2211yescharacteristic, complemented
161C4×#11758190C2211yescharacteristic, complemented
162SD16×Dic61C2211yescharacteristic, complemented
163#16839849C2211yescharacteristic
164#16839849C2211yescharacteristic, complemented
165C4×#11758200C2211yescharacteristic, complemented
166C4×#11758200C2211yescharacteristic, complemented
167D8×Dic61C2211yescharacteristic
168#16839842C2211yescharacteristic
169#16839801C2211yescharacteristic
170#106×D61C2211yescharacteristic
171#106×D61C2211yescharacteristic
172#16839787C2211yescharacteristic
173#16839787C2211yescharacteristic
174C4⋊C8×D61C2211yescharacteristic
175#16839765C2211yescharacteristic
176#16839762C2211yescharacteristic
177#16839762C2211yescharacteristic
178#16839760C2211yescharacteristic
179#16839760C2211yescharacteristic
180#16839760C2211yescharacteristic
181#16839757C2211yescharacteristic
182#16839755C2211yescharacteristic
183#102×D61C2211yescharacteristic
184#102×D61C2211yescharacteristic
185#16839719C2211yescharacteristic
186#16839716C2211yescharacteristic
187#16839714C2211yescharacteristic
188C61×#559C2211yescharacteristic
189D4×Q8×C61C2211yescharacteristic, complemented
190C61×#489C2211yescharacteristic
191C61×#489C2211yescharacteristic, complemented
192C61×#486C2211yescharacteristic
193C61×#476C2211yescharacteristic
194C61×#476C2211yescharacteristic, complemented
195C61×#475C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic
197C61×#463C2211yescharacteristic, complemented
198C61×#459C2211yescharacteristic
199C61×#446C2211yescharacteristic, complemented
200C61×#442C2211yescharacteristic
201C61×#442C2211yescharacteristic, complemented
202C4×SD16×C61C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758224—21no—
206C2×#11758224C2311yescharacteristic
207C2×#11758224C2311yescharacteristic
208C22×Dic122—21no—
209C2×Q8×D61—21no—
210C2×D4×D61C2311yescharacteristic
211C22×C4×D61—21no—
212#14519801—24no—
213#14519798—24no—
214#14519796—24no—
215C2×Dic244C2311yescharacteristic
216C2×#11758202C2311yescharacteristic
217C2×#11758190C2311yescharacteristic
218C2×#11758190C2311yescharacteristic
219C2×#11758200C2311yescharacteristic
220C2×#11758200C2311yescharacteristic
221C2×#11758200C2311yescharacteristic
222C2×#11758199C2311yescharacteristic
223C2×#11758199C2311yescharacteristic
224C2×#11758189C2311yescharacteristic
225C2×#11758189C2311yescharacteristic
226C2×C8×D61C2311yescharacteristic
227C2×C8×D61C2311yescharacteristic
228#14519777C2311yescharacteristic
229#14519776—21no—
230#14519776—21no—
231#14519776—21no—
232#14519776D411yescharacteristic
233#14519776C2311yescharacteristic
234#14519776C2311yescharacteristic
235#14519776C2311yescharacteristic
236#14519776C2311yescharacteristic
237#14519775—21no—
238#14519775—21no—
239#14519775—21no—
240#14519775—21no—
241#14519775—21no—
242#14519775—21no—
243#14519775—21no—
244#14519775—21no—
245#14519775—21no—
246#14519775D411yescharacteristic
247#14519775C2311yescharacteristic
248#14519774C2311yescharacteristic
249#14519773C2311yescharacteristic
250#14519773C2311yescharacteristic
251#14519773C2311yescharacteristic
252#14519772—21no—
253#14519771—21no—
254#14519770—21no—
255#14519770—21no—
256#14519769C2311yescharacteristic
257#14519769C2311yescharacteristic
258#14519768C2311yescharacteristic
259#14519768C2311yescharacteristic
260#14519767—21no—
261#14519767—21no—
262#14519767—21no—
263#14519767—21no—
264#14519767—21no—
265#14519767—21no—
266#14519767D411yescharacteristic
267#14519767D411yescharacteristic
268#14519766—21no—
269#14519766C2311yescharacteristic
270#14519765C2311yescharacteristic
271#14519765C2311yescharacteristic
272#14519764C2311yescharacteristic
273#14519763—21no—
274#14519763—21no—
275#14519762—21no—
276#14519762—21no—
277#14519761—21no—
278#14519760—21no—
279#14519759—21no—
280#14519759—21no—
281#14519757D411yescharacteristic
282#14519756—21no—
283#14519756—21no—
284#14519756—21no—
285#14519755—21no—
286#14519755—21no—
287#14519755—21no—
288#14519755D411yescharacteristic
289#14519755D411yescharacteristic
290#14519754—21no—
291#14519754—21no—
292#14519754—21no—
293#14519754—21no—
294#14519754—21no—
295#14519754—21no—
296#14519754—21no—
297#14519753—21no—
298#14519753—21no—
299#14519753D411yescharacteristic
300#14519751—21no—
301#14519750—21no—
302#14519750—21no—
303#14519750—21no—
304#14519750—21no—
305#14519750—21no—
306#14519750—21no—
307#14519749—21no—
308#14519749—21no—
309#14519749—21no—
310#14519749—21no—
311#14519748—21no—
312#14519747—21no—
313#14519747—21no—
314#14519745—21no—
315#14519745—21no—
316Q8×Dic61—21no—
317Q8×Dic61C2311yescharacteristic
318C4×Dic122C2311yescharacteristic
319C4×Dic122C2311yescharacteristic
320C4×Dic122C2311yescharacteristic
321C4×Dic122C2311yescharacteristic
322C4×Dic122C2311yescharacteristic
323C4×Dic122C2311yescharacteristic
324C4×Dic122C2311yescharacteristic
325#14519742—21no—
326#14519742—21no—
327#14519742—21no—
328#14519742C2311yescharacteristic
329#14519742C2311yescharacteristic
330#14519742C2311yescharacteristic
331#14519742C2311yescharacteristic
332C4×D244—21no—
333C4×D244C2311yescharacteristic
334C4×D244C2311yescharacteristic
335D4×Dic61C2311yescharacteristic
336D4×Dic61C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340#14519739—21no—
341#14519739—21no—
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#14519737—21no—
354#14519737—21no—
355#14519737—21no—
356#14519737—21no—
357#14519737—21no—
358#14519735C2311yescharacteristic
359#14519734—21no—
360#14519734—21no—
361#14519734C2311yescharacteristic
362#14519734C2311yescharacteristic
363#14519733—21no—
364#14519733—21no—
365#14519733—21no—
366#14519733—21no—
367#14519733—21no—
368C2×#11758196—21no—
369C2×#11758196—21no—
370C2×#11758196—21no—
371C2×#11758196—21no—
372C2×#11758196—21no—
373C4⋊C4×D61—21no—
374C4⋊C4×D61—21no—
375C4⋊C4×D61C2311yescharacteristic
376C4⋊C4×D61C2311yescharacteristic
377C4⋊C4×D61C2311yescharacteristic
378C22⋊C4×D61—21no—
379C2×C4×Dic61—21no—
380C42×D61C2311yescharacteristic
381#14519711C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390C4⋊#92418C2311yescharacteristic
391C4⋊#92418C2311yescharacteristic
392C4⋊#92418C2311yescharacteristic
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#14519701C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519688C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C4×#92418C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C22×Q8×C61—21no—
439C2×SD16×C61C2311yescharacteristic
440C2×D8×C61C2311yescharacteristic
441C2×D8×C61C2311yescharacteristic
442C4⋊Q8×C61C2311yescharacteristic
443C4⋊Q8×C61C2311yescharacteristic
444C4⋊Q8×C61C2311yescharacteristic
445#127×C61C2311yescharacteristic
446#124×C61—21no—
447#124×C61C2311yescharacteristic
448#124×C61C2311yescharacteristic
449#123×C61—21no—
450#123×C61—21no—
451C22⋊Q8×C61—21no—
452C22⋊Q8×C61—21no—
453C22⋊Q8×C61—21no—
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×D4×C61—21no—
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459C4×D4×C61C2311yescharacteristic
460C4×D4×C61C2311yescharacteristic
461C4×D4×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#97×C61C2311yescharacteristic
479#97×C61C2311yescharacteristic
480C4×C8×C61C2311yescharacteristic
481C23×D61—21no—
482C2×Q8×C61—21no—
483C2×Q8×C61—21no—
484C2×Q8×C61—21no—
485C2×Q8×C61—82no—
486C2×Q8×C61C2×D411yescharacteristic
487C2×Q8×C61C2411yescharacteristic
488C2×D4×C61—21no—
489C2×D4×C61—21no—
490C2×D4×C61C2411yescharacteristic
491C2×D4×C61C2411yescharacteristic
492C2×D4×C61C2411yescharacteristic
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C22×C4×C61—21no—
496C22×C4×C61—21no—
497C22×C4×C61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C22×Dic61—21no—
508C22×Dic61—21no—
509C22×Dic61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514#11758226—22no—
515#11758226—22no—
516Q8×D61—82no—
517#11758224—22no—
518#11758224—22no—
519#11758224—22no—
520#11758224—82no—
521#11758224#4114yescomplemented
522D4×D61—22no—
523D4×D61—22no—
524#11758222—82no—
525C2×D244—21no—
526C2×D244—21no—
527C2×D244—21no—
528C2×D244C2411yescharacteristic
529C2×D244C2411yescharacteristic
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61—21no—
537C2×C4×D61—21no—
538C2×C4×D61—82no—
539C2×C4×D61C2×D411yescharacteristic
540C2×C4×D61C2×D411yescharacteristic
541C2×C4×D61C2411yescharacteristic
542C2×Dic122—21no—
543C2×Dic122—21no—
544C2×Dic122—21no—
545C2×Dic122—21no—
546C2×Dic122—21no—
547C2×Dic122—82no—
548C2×Dic122C2×D411yescharacteristic
549C2×Dic122C2×D411yescharacteristic
550C2×Dic122C2×D411yescharacteristic
551C2×Dic122C2411yescharacteristic
552C2×Dic122C2411yescharacteristic
553SD16×C61—22no—
554D8×C61—22no—
555D8×C61—22no—
556C2×C8×C61C2411yescharacteristic
557C2×C8×C61C2411yescharacteristic
558C2×C8×C61C2411yescharacteristic
559C2×C8×C61C2411yescharacteristic
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61—21no—
563C4⋊C4×C61—21no—
564C4⋊C4×C61C2×D411yescharacteristic
565C4⋊C4×C61C2×D411yescharacteristic
566C4⋊C4×C61C2×D411yescharacteristic
567C4⋊C4×C61C2411yescharacteristic
568C4⋊C4×C61C2411yescharacteristic
569C4⋊C4×C61C2411yescharacteristic
570C4⋊C4×C61C2411yescharacteristic
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
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—
580C42×C61—21no—
581C42×C61C2411yescharacteristic
582C42×C61C2411yescharacteristic
583C42×C61C2411yescharacteristic
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591#11758202—22no—
592#11758200—22no—
593#11758200—22no—
594#11758200—22no—
595#11758199—22no—
596#11758199—22no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198C2×D411yescharacteristic
609#11758198C2×D411yescharacteristic
610#11758198C2×D411yescharacteristic
611#11758198C2×D411yescharacteristic
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61C2×D411yescharacteristic
617C4⋊Dic61C2×D411yescharacteristic
618C4⋊Dic61C2×D411yescharacteristic
619C4⋊Dic61C2411yescharacteristic
620C4⋊Dic61C2411yescharacteristic
621C4⋊Dic61C2411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649#11758196C2×D411yescharacteristic
650#11758196C2×D411yescharacteristic
651#11758196C2×D411yescharacteristic
652#11758196C2×D411yescharacteristic
653#11758196C2×D411yescharacteristic
654#11758196C2×D411yescharacteristic
655#11758196C2×D411yescharacteristic
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61—21no—
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61—21no—
664C4×Dic61—21no—
665C4×Dic61—21no—
666C4×Dic61C2×D411yescharacteristic
667C4×Dic61C2×D411yescharacteristic
668C4×Dic61C2411yescharacteristic
669C4×Dic61C2411yescharacteristic
670C4×Dic61C2411yescharacteristic
671C2×#92418C2411yescharacteristic
672C2×#92418C2411yescharacteristic
673C2×#92418C2411yescharacteristic
674C2×#92418C2411yescharacteristic
675Dic244—22no—
676#11758190—22no—
677#11758190—22no—
678#11758189—22no—
679#11758189—22no—
680C8×D61—22no—
681C8×D61—22no—
682C23×C61—21no—
683C23×C61—21no—
684C23×C61—21no—
685C22×D61—21no—
686C22×D61—21no—
687C22×D61—42no—
688C22×D61—81no—
689C22×D61—81no—
690C22×D61C22×D411yescharacteristic
691Q8×C61—21no—
692Q8×C61—21no—
693Q8×C61—41no—
694Q8×C61—42no—
695Q8×C61—81no—
696Q8×C61—81no—
697D4×C61—21no—
698D4×C61—21no—
699D4×C61—21no—
700D4×C61—21no—
701D4×C61—21no—
702D4×C61—81no—
703D4×C61—81no—
704D4×C61C2×#4112yes—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—42no—
711C2×C4×C61—81no—
712C2×C4×C61—81no—
713C2×C4×C61—81no—
714C2×C4×C61—81no—
715C2×C4×C61C22×D411yescharacteristic
716C2×C4×C61C22×D411yescharacteristic
717C2×C4×C61C22×D411yescharacteristic
718C2×C4×C61C22×D411yescharacteristic
719C2×C4×C61C22×D411yescharacteristic
720C2×C4×C61C22×D411yescharacteristic
721C2×C4×C61C2511yescharacteristic
722C22⋊D61—24no—
723C22⋊D61—42no—
724C22⋊D61—42no—
725C22⋊D61—42no—
726C22⋊D61—81no—
727C22⋊D61—81no—
728C22⋊D61—81no—
729C22⋊D61—81no—
730C22⋊D61—81no—
731C2×Dic61—21no—
732C2×Dic61—24no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—42no—
739C2×Dic61—42no—
740C2×Dic61—42no—
741C2×Dic61—81no—
742C2×Dic61—81no—
743C2×Dic61—81no—
744C2×Dic61C22×D411yescharacteristic
745C2×Dic61C22×D411yescharacteristic
746C2×Dic61C22×D411yescharacteristic
747C2×Dic61C22×D411yescharacteristic
748C2×Dic61C22×D411yescharacteristic
749C2×Dic61C22×D411yescharacteristic
750C2×Dic61C22×D411yescharacteristic
751D244—21no—
752D244—21no—
753D244—21no—
754D244—21no—
755D244—42no—
756D244—81no—
757D244—81no—
758C4×D61—22no—
759C4×D61—41no—
760C4×D61—42no—
761C4×D61—42no—
762C4×D61—81no—
763C4×D61—81no—
764C4×D61—81no—
765C4×D61—81no—
766C4×D61—81no—
767C4×D61—81no—
768C4×D61C2×#4112yes—
769C4×D612−1+412yes—
770Dic122—21no—
771Dic122—22no—
772Dic122—22no—
773Dic122—21no—
774Dic122—21no—
775Dic122—41no—
776Dic122—42no—
777Dic122—81no—
778Dic122—81no—
779Dic122—81no—
780Dic122—81no—
781Dic122C2×#4112yes—
782C8×C61—21no—
783C8×C61—21no—
784C8×C61—21no—
785C8×C61—21no—
786#92418—21no—
787#92418—21no—
788#92418—21no—
789#92418—21no—
790#61347—611nomaximal, Sylow
791C22×C61—22no—
792C22×C61—41no—
793C22×C61—41no—
794C22×C61—41no—
795C22×C61—41no—
796C22×C61—41no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61—41no—
800C22×C61C23×D411yescharacteristic
801C2×D61—21no—
802C2×D61—21no—
803C2×D61—41no—
804C2×D61—41no—
805C2×D61—41no—
806C2×D61—41no—
807C2×D61—41no—
808C2×D61—41no—
809C2×D61—84no—
810C2×D61#54812yes—
811C4×C61—21no—
812C4×C61—21no—
813C4×C61—21no—
814C4×C61—21no—
815C4×C61—21no—
816C4×C61—21no—
817C4×C61—41no—
818C4×C61—41no—
819C4×C61—41no—
820C4×C61—41no—
821C4×C61—41no—
822C4×C61C22×#4111yescharacteristic
823C4×C61C2×2−1+411yescharacteristic
824Dic61—21no—
825Dic61—21no—
826Dic61—21no—
827Dic61—22no—
828Dic61—21no—
829Dic61—21no—
830Dic61—41no—
831Dic61—41no—
832Dic61—41no—
833Dic61—41no—
834Dic61—41no—
835Dic61#54812yes—
836Dic61#57712yes—
837#3506—611no—
838#3503—611no—
839#3373—611no—
840#3373—611no—
841#3373—611no—
842#3373D6111yescharacteristic, complemented
843#3371—611no—
844#3371—611no—
845#3371—611no—
846#3371—611no—
847#3369—611no—
848#3369—611no—
849#3366—611no—
850#3366—611no—
851#3362—611no—
852#3362—611no—
853#3360—611no—
854#3360—611no—
855#3141—611no—
856#3136—611no—
857#3136—611no—
858#3084—611no—
859#3084—611no—
860C2×#476—611no—
861#3045—611no—
862#3045—611no—
863#3035—611no—
864#2962—611no—
865#2952—611no—
866#2952—611no—
867C4×AGL(1,ℤ/8)—611no—
868C2×C61—42no—
869C2×C61—81no—
870C2×C61—81no—
871C2×C61C2×#54811yescharacteristic
872C2×C61C2×#57711yescharacteristic
873C2×C61#358511yescharacteristic
874D61—22no—
875D61—81no—
876D61—81no—
877C2×AGL(1,ℤ/8)—611no—
878C2×#135—611no—
879C2×#135—611no—
880#559—611no—
881#559—611no—
882#559—611no—
883#559C2×D6111yescharacteristic
884Q82—611no—
885Q82—611no—
886#557—611no—
887#557—611no—
888#556—611no—
889#556—611no—
890#555—1221no—
891#554—611no—
892#554—611no—
893#554—1221no—
894#554—1221no—
895#553—1221no—
896#553—1221no—
897#550—611no—
898#550—611no—
899D4×Q8—611no—
900D4×Q8—1221no—
901D4×Q8—1221no—
902D4×Q8C2×D6111yescharacteristic, complemented
903#547—1221no—
904#544—611no—
905#544—611no—
906#544—1221no—
907#544—1221no—
908#538—1221no—
909#538—1221no—
910#535—611no—
911#535—611no—
912#533—611no—
913#533—1221no—
914#532—611no—
915C2×C4⋊Q8—611no—
916C2×C4⋊Q8—1221no—
917#525—1221no—
918#525—1221no—
919#520—611no—
920#520—611no—
921#520—611no—
922#520—611no—
923C4×#41—611no—
924C2×C4×D4—611no—
925#490—611no—
926#490—611no—
927#490—611no—
928#490—611no—
929#489—611no—
930#489—611no—
931#489—611no—
932#489—611no—
933#489—611no—
934#489—611no—
935#489C2×D6111yescharacteristic
936#489C2×D6111yescharacteristic, complemented
937#488—611no—
938#488—611no—
939#488—611no—
940#488—611no—
941#487—611no—
942#487—611no—
943#486—611no—
944#486—611no—
945#486—611no—
946#486—611no—
947#486—611no—
948#486C2×D6111yescharacteristic
949#479—611no—
950#479—611no—
951#479—611no—
952#479—611no—
953#478—611no—
954#478—611no—
955#478—611no—
956#478—611no—
957#476—611no—
958#476—611no—
959#476—611no—
960#476—611no—
961#476—611no—
962#476—611no—
963#476—611no—
964#476—611no—
965#476—611no—
966#476—611no—
967#476C2×D6111yescharacteristic
968#476C2×D6111yescharacteristic, complemented
969#475—611no—
970#475—611no—
971#475—611no—
972#475C2×D6111yescharacteristic, complemented
973#464—611no—
974#464—611no—
975#464—611no—
976#464—611no—
977#464—611no—
978#464—611no—
979#463—611no—
980#463—611no—
981#463—611no—
982#463—611no—
983#463C2×D6111yescharacteristic
984#463C2×D6111yescharacteristic, complemented
985#462—611no—
986#461—611no—
987#460—611no—
988#460—611no—
989#460—611no—
990#460—611no—
991#460—611no—
992#459—611no—
993#459—611no—
994#459—611no—
995#459—611no—
996#459C2×D6111yescharacteristic
997#446—611no—
998#446—611no—
999#446—611no—
1000#446—611no—
1001#446—611no—
1002#446C2×D6111yescharacteristic, complemented
1003C8×Q8—611no—
1004C8×Q8—611no—
1005#442—611no—
1006#442—611no—
1007#442—611no—
1008#442—611no—
1009#442C2×D6111yescharacteristic
1010#442C2×D6111yescharacteristic, complemented
1011#441—611no—
1012#441—611no—
1013#441—611no—
1014#441—611no—
1015#440—611no—
1016#440—611no—
1017C4×SD16—611no—
1018C4×SD16—611no—
1019C4×SD16—611no—
1020C4×SD16—611no—
1021C4×SD16—611no—
1022C4×SD16—611no—
1023C4×SD16—611no—
1024C4×SD16—611no—
1025C4×SD16—611no—
1026C4×SD16C2×D6111yescharacteristic, complemented
1027C4×D8—611no—
1028C4×D8—611no—
1029#428—611no—
1030C2×#106—611no—
1031C2×#106—611no—
1032#424—611no—
1033#424—611no—
1034C2×C4⋊C8—611no—
1035#418—611no—
1036#417—611no—
1037#417—611no—
1038#417—611no—
1039#417—611no—
1040#417—611no—
1041#416—611no—
1042#416—611no—
1043C2×#102—611no—
1044C2×#102—611no—
1045#405—611no—
1046#405—611no—
1047C4×M16—611no—
1048C61#6134711yescharacteristic, complemented, Sylow
1049C2×#41—611no—
1050C2×#41—611no—
1051C2×#41—611no—
1052C2×#41—1221no—
1053C2×#41—1221no—
1054C22×Q8—21no—
1055C22×Q8—1221no—
1056C22×Q8—1221no—
1057C22×D4—611no—
1058C23×C4—1221no—
1059AGL(1,ℤ/8)—1224no—
1060#135—1224no—
1061#135—1224no—
1062C2×Q16—611no—
1063C2×Q16—611no—
1064C2×SD16—611no—
1065C2×SD16—611no—
1066C2×SD16—611no—
1067C2×SD16—611no—
1068C2×SD16—611no—
1069C2×SD16C22×D6111yescharacteristic
1070C2×D8—611no—
1071C2×D8—611no—
1072C2×D8C22×D6111yescharacteristic
1073C2×D8C22×D6111yescharacteristic
1074C2×M16—611no—
1075C2×M16—611no—
1076C22×C8—611no—
1077C22×C8—611no—
1078C4⋊Q8—611no—
1079C4⋊Q8—611no—
1080C4⋊Q8—611no—
1081C4⋊Q8—611no—
1082C4⋊Q8—611no—
1083C4⋊Q8—611no—
1084C4⋊Q8—611no—
1085C4⋊Q8—611no—
1086C4⋊Q8—1221no—
1087C4⋊Q8—1221no—
1088C4⋊Q8—1221no—
1089C4⋊Q8—1221no—
1090C4⋊Q8—1221no—
1091C4⋊Q8—1221no—
1092C4⋊Q8—1221no—
1093C4⋊Q8—1221no—
1094C4⋊Q8—1221no—
1095C4⋊Q8—1221no—
1096C4⋊Q8—1221no—
1097C4⋊Q8—1221no—
1098C4⋊Q8C22×D6111yescharacteristic
1099C4⋊Q8C22×D6111yescharacteristic
1100C4⋊Q8C22×D6111yescharacteristic
1101#127—611no—
1102#127—611no—
1103#127—611no—
1104#127—611no—
1105#127C22×D6111yescharacteristic
1106#126—1221no—
1107#126—1221no—
1108#126—1221no—
1109#126—1221no—
1110#125—611no—
1111#125—611no—
1112#125—611no—
1113#125—611no—
1114#125—611no—
1115#125—611no—
1116#125—1221no—
1117#125—1221no—
1118#125—1221no—
1119#125—1221no—
1120#125—1221no—
1121#125—1221no—
1122#124—21no—
1123#124—611no—
1124#124—611no—
1125#124—611no—
1126#124—611no—
1127#124—1221no—
1128#124—1221no—
1129#124—1221no—
1130#124C22×D6111yescharacteristic
1131#124C22×D6111yescharacteristic
1132#123—21no—
1133#123—21no—
1134#123—1221no—
1135#123—1221no—
1136#123—1221no—
1137#123—1221no—
1138#123—1221no—
1139#123—1221no—
1140C22⋊Q8—21no—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—611no—
1144C22⋊Q8—611no—
1145C22⋊Q8—611no—
1146C22⋊Q8—611no—
1147C22⋊Q8—1221no—
1148C22⋊Q8—1221no—
1149C22⋊Q8—1221no—
1150C22⋊Q8—1221no—
1151C22⋊Q8—1221no—
1152C22⋊Q8—1221no—
1153C22⋊Q8—1221no—
1154C22⋊Q8—1221no—
1155C22⋊Q8—1221no—
1156C22⋊Q8—1221no—
1157C22⋊Q8—1221no—
1158C22⋊Q8—1221no—
1159C22⋊Q8—1221no—
1160C22⋊Q8—1221no—
1161C22⋊Q8—1221no—
1162#121—1221no—
1163#121—1221no—
1164#121—1221no—
1165#121—1221no—
1166#121—1221no—
1167#121—1221no—
1168#121—1221no—
1169#121—1221no—
1170#121—1221no—
1171#121—1221no—
1172#121—1221no—
1173#121—1221no—
1174#120—1221no—
1175#120—1221no—
1176#120—1221no—
1177#120—1221no—
1178C4×Q8—611no—
1179C4×Q8—611no—
1180C4×Q8—611no—
1181C4×Q8—611no—
1182C4×Q8—611no—
1183C4×Q8—611no—
1184C4×Q8—611no—
1185C4×Q8—611no—
1186C4×Q8—611no—
1187C4×Q8—611no—
1188C4×Q8—611no—
1189C4×Q8—611no—
1190C4×Q8—1221no—
1191C4×Q8—1221no—
1192C4×Q8—1221no—
1193C4×Q8—1221no—
1194C4×Q8C22×D6111yescharacteristic
1195C4×Q8C22×D6111yescharacteristic
1196C4×D4—21no—
1197C4×D4—611no—
1198C4×D4—611no—
1199C4×D4—611no—
1200C4×D4—611no—
1201C4×D4—611no—
1202C4×D4—611no—
1203C4×D4—611no—
1204C4×D4—611no—
1205C4×D4—611no—
1206C4×D4—1221no—
1207C4×D4—1221no—
1208C4×D4—1221no—
1209C4×D4—1221no—
1210C4×D4—1221no—
1211C4×D4—1221no—
1212C4×D4—1221no—
1213C4×D4—1221no—
1214C4×D4—1221no—
1215C4×D4—1221no—
1216C4×D4—1221no—
1217C4×D4—1221no—
1218C4×D4—1221no—
1219C4×D4—1221no—
1220C4×D4—1221no—
1221C4×D4—1221no—
1222C4×D4—1221no—
1223C4×D4C22×D6111yescharacteristic
1224C4×D4C22×D6111yescharacteristic
1225C4×D4C22×D6111yescharacteristic
1226C4×D4C22×D6111yescharacteristic
1227C4×D4C22×D6111yescharacteristic
1228#117—611no—
1229#117—611no—
1230#117—611no—
1231#117—1221no—
1232#117—1221no—
1233#117—1221no—
1234#117—1221no—
1235#117—1221no—
1236#117—1221no—
1237#117—1221no—
1238C2×C4⋊C4—611no—
1239C2×C4⋊C4—611no—
1240C2×C4⋊C4—611no—
1241C2×C4⋊C4—1221no—
1242C2×C4⋊C4—1221no—
1243C2×C4⋊C4—1221no—
1244C2×C4⋊C4—1221no—
1245C2×C4⋊C4—1221no—
1246C2×C4⋊C4—1221no—
1247C2×C4⋊C4—1221no—
1248C2×C22⋊C4—1221no—
1249C2×C42—611no—
1250C2×C42—1221no—
1251#107—611no—
1252#107—611no—
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256#106—611no—
1257#106—611no—
1258#106—611no—
1259#106—611no—
1260#106C22×D6111yescharacteristic
1261#106C22×D6111yescharacteristic
1262#106C22×D6111yescharacteristic
1263C4⋊C8—611no—
1264C4⋊C8—611no—
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8—611no—
1270C4⋊C8—611no—
1271C4⋊C8—611no—
1272C4⋊C8C22×D6111yescharacteristic
1273C4⋊C8C22×D6111yescharacteristic
1274C4⋊C8C22×D6111yescharacteristic
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103—611no—
1280#103—611no—
1281#103—611no—
1282#103—611no—
1283#103—611no—
1284#103—611no—
1285#103—611no—
1286#103C22×D6111yescharacteristic
1287#103C22×D6111yescharacteristic
1288#103C22×D6111yescharacteristic
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102—611no—
1295#102—611no—
1296#102—611no—
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102—611no—
1304#102—611no—
1305#102—611no—
1306#102—611no—
1307#102—611no—
1308#102C22×D6111yescharacteristic
1309#102C22×D6111yescharacteristic
1310#102C22×D6111yescharacteristic
1311#102C22×D6111yescharacteristic
1312#102C22×D6111yescharacteristic
1313#102C22×D6111yescharacteristic
1314#102C22×D6111yescharacteristic
1315#97—611no—
1316#97—611no—
1317#97—611no—
1318#97—611no—
1319#97C22×D6111yescharacteristic
1320#97C22×D6111yescharacteristic
1321C4×C8—611no—
1322C4×C8—611no—
1323C4×C8—611no—
1324C4×C8—611no—
1325C4×C8—611no—
1326C4×C8C22×D6111yescharacteristic
1327C24—1221no—
1328#41—614no—
1329#41—1222no—
1330#41—1222no—
1331#41—1222no—
1332#41—1222no—
1333#41—1222no—
1334#41—4882no—
1335#41—4882no—
1336C2×Q8—21no—
1337C2×Q8—21no—
1338C2×Q8—21no—
1339C2×Q8—82no—
1340C2×Q8—611no—
1341C2×Q8—611no—
1342C2×Q8—611no—
1343C2×Q8—611no—
1344C2×Q8—611no—
1345C2×Q8—1221no—
1346C2×Q8—1221no—
1347C2×Q8—1221no—
1348C2×Q8—1221no—
1349C2×Q8—1221no—
1350C2×Q8—4882no—
1351C2×Q8—4882no—
1352C2×Q8D4×D6111yescharacteristic
1353C2×Q8C23×D6111yescharacteristic
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—611no—
1357C2×D4—611no—
1358C2×D4—1221no—
1359C2×D4—1222no—
1360C2×D4—1222no—
1361C2×D4—1221no—
1362C2×D4—1221no—
1363C2×D4—1221no—
1364C2×D4—1221no—
1365C2×D4—1221no—
1366C2×D4—1221no—
1367C2×D4—1221no—
1368C2×D4—1221no—
1369C2×D4—1221no—
1370C2×D4—1221no—
1371C2×D4—1221no—
1372C2×D4C23×D6111yescharacteristic
1373C2×D4C23×D6111yescharacteristic
1374C2×D4C23×D6111yescharacteristic
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—611no—
1381C22×C4—611no—
1382C22×C4—611no—
1383C22×C4—1221no—
1384C22×C4—1221no—
1385C22×C4—1221no—
1386C22×C4—1221no—
1387C22×C4—1221no—
1388C22×C4—1221no—
1389C22×C4—1221no—
1390C22×C4—1221no—
1391C22×C4—1221no—
1392C22×C4—1221no—
1393C22×C4—1221no—
1394C22×C4—1221no—
1395C22×C4—1221no—
1396C22×C4—1221no—
1397C22×C4—1221no—
1398C22×C4—4882no—
1399Q16—1222no—
1400Q16—1222no—
1401SD16—22no—
1402SD16—1222no—
1403SD16—1222no—
1404SD16—1222no—
1405SD16—1222no—
1406SD16—1222no—
1407D8—22no—
1408D8—22no—
1409D8—1222no—
1410D8—1222no—
1411M16—1222no—
1412M16—1222no—
1413C2×C8—611no—
1414C2×C8—611no—
1415C2×C8—611no—
1416C2×C8—611no—
1417C2×C8—1222no—
1418C2×C8—1222no—
1419C2×C8C23×D6111yescharacteristic
1420C2×C8C23×D6111yescharacteristic
1421C2×C8C23×D6111yescharacteristic
1422C2×C8C23×D6111yescharacteristic
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—611no—
1428C4⋊C4—611no—
1429C4⋊C4—611no—
1430C4⋊C4—611no—
1431C4⋊C4—611no—
1432C4⋊C4—611no—
1433C4⋊C4—611no—
1434C4⋊C4—611no—
1435C4⋊C4—611no—
1436C4⋊C4—611no—
1437C4⋊C4—611no—
1438C4⋊C4—611no—
1439C4⋊C4—611no—
1440C4⋊C4—611no—
1441C4⋊C4—611no—
1442C4⋊C4—611no—
1443C4⋊C4—611no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4—1221no—
1457C4⋊C4—1221no—
1458C4⋊C4—1221no—
1459C4⋊C4—1221no—
1460C4⋊C4—1221no—
1461C4⋊C4—1221no—
1462C4⋊C4—1221no—
1463C4⋊C4—1221no—
1464C4⋊C4—1221no—
1465C4⋊C4—1221no—
1466C4⋊C4—1221no—
1467C4⋊C4—1221no—
1468C4⋊C4—1221no—
1469C4⋊C4—1221no—
1470C4⋊C4—1221no—
1471C4⋊C4D4×D6111yescharacteristic
1472C4⋊C4D4×D6111yescharacteristic
1473C4⋊C4D4×D6111yescharacteristic
1474C4⋊C4C23×D6111yescharacteristic
1475C4⋊C4C23×D6111yescharacteristic
1476C4⋊C4C23×D6111yescharacteristic
1477C4⋊C4C23×D6111yescharacteristic
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—611no—
1488C22⋊C4—611no—
1489C22⋊C4—611no—
1490C22⋊C4—611no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C22⋊C4—1221no—
1499C22⋊C4—1221no—
1500C22⋊C4—1221no—
1501C22⋊C4—1221no—
1502C22⋊C4—1221no—
1503C22⋊C4—1221no—
1504C22⋊C4—1221no—
1505C22⋊C4—1221no—
1506C22⋊C4—1221no—
1507C22⋊C4—1221no—
1508C22⋊C4—1221no—
1509C42—21no—
1510C42—611no—
1511C42—611no—
1512C42—611no—
1513C42—611no—
1514C42—611no—
1515C42—1221no—
1516C42—1221no—
1517C42—1221no—
1518C42—1221no—
1519C42—1221no—
1520C42—1221no—
1521C42—1221no—
1522C42—1221no—
1523C42—1221no—
1524C42—1221no—
1525C42C23×D6111yescharacteristic
1526C42C23×D6111yescharacteristic
1527C42C23×D6111yescharacteristic
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—611no—
1532C23—1221no—
1533C23—1221no—
1534C23—4881no—
1535C23—4881no—
1536C23—2442no—
1537Q8—21no—
1538Q8—21no—
1539Q8—41no—
1540Q8—42no—
1541Q8—81no—
1542Q8—81no—
1543Q8—612no—
1544Q8—1222no—
1545Q8—1222no—
1546Q8—1221no—
1547Q8—1221no—
1548Q8—1221no—
1549Q8—4881no—
1550Q8—4881no—
1551Q8—4881no—
1552Q8—4881no—
1553Q8—2441no—
1554Q8—2442no—
1555D4—21no—
1556D4—21no—
1557D4—21no—
1558D4—21no—
1559D4—21no—
1560D4—81no—
1561D4—81no—
1562D4—1224no—
1563D4—1221no—
1564D4—1221no—
1565D4—1221no—
1566D4—1221no—
1567D4—4881no—
1568D4—4881no—
1569D4—4881no—
1570D4—4881no—
1571D4—4881no—
1572D4—4881no—
1573D4—4881no—
1574D4—2442no—
1575D4—2442no—
1576D4—2442no—
1577D4—2442no—
1578D4#41×D6112yes—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—42no—
1585C2×C4—81no—
1586C2×C4—81no—
1587C2×C4—81no—
1588C2×C4—81no—
1589C2×C4—611no—
1590C2×C4—611no—
1591C2×C4—612no—
1592C2×C4—612no—
1593C2×C4—611no—
1594C2×C4—611no—
1595C2×C4—611no—
1596C2×C4—611no—
1597C2×C4—611no—
1598C2×C4—1222no—
1599C2×C4—1224no—
1600C2×C4—1221no—
1601C2×C4—1221no—
1602C2×C4—1221no—
1603C2×C4—1221no—
1604C2×C4—1221no—
1605C2×C4—1221no—
1606C2×C4—4881no—
1607C2×C4—4881no—
1608C2×C4—4881no—
1609C2×C4—4881no—
1610C2×C4—4881no—
1611C2×C4—4881no—
1612C2×C4—4881no—
1613C2×C4—4881no—
1614C2×C4—4881no—
1615C2×C4—2441no—
1616C2×C4—2442no—
1617C2×C4—2442no—
1618C2×C4—2442no—
1619C2×C4—2442no—
1620C2×C4—2442no—
1621C2×C4C2×D4×D6111yescharacteristic
1622C2×C4C2×D4×D6111yescharacteristic
1623C2×C4C2×D4×D6111yescharacteristic
1624C2×C4C2×D4×D6111yescharacteristic
1625C2×C4C2×D4×D6111yescharacteristic
1626C2×C4C2×D4×D6111yescharacteristic
1627C2×C4C24×D6111yescharacteristic
1628C8—21no—
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—1221no—
1633C8—1221no—
1634C8—1221no—
1635C8—1221no—
1636C22—22no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—612no—
1646C22—1221no—
1647C22—1221no—
1648C22—4884no—
1649C22—2441no—
1650C22—2441no—
1651C22—2441no—
1652C22—2441no—
1653C22—2441no—
1654C22—2441no—
1655C22C22×D4×D6111yescharacteristic
1656C4—21no—
1657C4—21no—
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—21no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—612no—
1668C4—612no—
1669C4—1222no—
1670C4—1221no—
1671C4—1221no—
1672C4—1221no—
1673C4—1221no—
1674C4—1221no—
1675C4—2441no—
1676C4—2441no—
1677C4—2441no—
1678C4—2441no—
1679C4—2441no—
1680C4C2×#41×D6111yescharacteristic
1681C42−1+4×D6111yescharacteristic
1682C2—42no—
1683C2—81no—
1684C2—81no—
1685C2—1222no—
1686C2—4881no—
1687C2—4881no—
1688C2#548×D6111yescharacteristic
1689C2#577×D6111yescharacteristic
1690C2#2146059511yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3373C2
socleC22×C61C23×D4
hypercenter#3373D61
hypocenterC61#61347
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3373

Complements

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

NH ≅ G/Ntype
1. #21459667C2semidirect
2. #21459630C2semidirect
3. #21458612C2semidirect
4. #21458611C2semidirect
5. #21458606C2semidirect
6. #21458594C2semidirect
7. #21458589C2semidirect
8. #21458586C2semidirect
9. #21458581C2semidirect
10. #21458562C2semidirect
11. #21458556C2semidirect
12. #21458527C2semidirect
13. #21458521C2semidirect
14. #21458489C2semidirect
15. #21458487C2semidirect
16. #21458469C2semidirect
17. #21458463C2semidirect
18. #21456211C2semidirect
19. #21456170C2semidirect
20. #21456168C2semidirect
21. #21455678C2semidirect
22. #21455676C2semidirect
23. #476×D61C2semidirect
24. #21455359C2semidirect
25. #21455353C2semidirect
26. #21455271C2semidirect
27. #21454764C2semidirect
28. #21454701C2semidirect
29. #21454697C2semidirect
30. #21454630C2semidirect
31. C61×#3373C2semidirect
38. #16840492C22semidirect
39. #16840492C22semidirect
40. #16840490C22semidirect
41. #16840487C22semidirect
45. #16840471C22semidirect
46. #16840471C22semidirect
53. D4×Dic122C22semidirect
83. #16840124C22semidirect
85. #16840122C22semidirect
86. #16840121C22semidirect
92. #16840111C22semidirect
93. #16840111C22semidirect
97. #16840107C22semidirect
98. #16840107C22semidirect
99. #16840072C22semidirect
100. #16840071C22semidirect
101. #16840070C22semidirect
102. #16840069C22semidirect
103. #16840063C22semidirect
104. #16840062C22semidirect
105. #16840061C22semidirect
106. #16840060C22semidirect
111. #16840051C22semidirect
114. #16840050C22semidirect
116. #16840049C22semidirect
117. #16840046C22semidirect
118. #16840045C22semidirect
119. #16840044C22semidirect
122. #16839985C22semidirect
125. #16839981C22semidirect
128. #16839977C22semidirect
130. #16839971C22semidirect
131. #16839965C22semidirect
135. #16839961C22semidirect
140. #16839955C22semidirect
141. #16839893C22semidirect
142. #16839891C22semidirect
143. #16839891C22semidirect
144. #16839890C22semidirect
145. #16839890C22semidirect
146. C8×Dic122C22semidirect
147. #16839886C22semidirect
148. #16839874C22semidirect
150. #16839872C22semidirect
151. #16839871C22semidirect
152. #16839870C22semidirect
153. #16839868C22semidirect
154. #16839867C22semidirect
155. #16839866C22semidirect
159. #16839853C22semidirect
160. #16839853C22semidirect
161. C4×#11758190C22semidirect
162. SD16×Dic61C22semidirect
164. #16839849C22semidirect
165. C4×#11758200C22semidirect
166. C4×#11758200C22semidirect
189. D4×Q8×C61C22semidirect
191. C61×#489C22semidirect
194. C61×#476C22semidirect
195. C61×#475C22semidirect
197. C61×#463C22semidirect
199. C61×#446C22semidirect
201. C61×#442C22semidirect
202. C4×SD16×C61C22semidirect
521. #11758224#41semidirect
842. #3373D61semidirect
902. D4×Q8C2×D61semidirect
936. #489C2×D61semidirect
968. #476C2×D61semidirect
972. #475C2×D61semidirect
984. #463C2×D61semidirect
1002. #446C2×D61semidirect
1010. #442C2×D61semidirect
1026. C4×SD16C2×D61semidirect
1048. C61#61347semidirect

Maximal subgroups

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

subgroupindex
#214596672
#214596302
#214586122
#214586112
#214586062
#214585942
#214585892
#214585862
#214585812
#214585622
#214585562
#214585272
#214585212
#214584892
#214584872
#214584692
#214584632
#214562112
#214561702
#214561682
#214556782
#214556762
#476×D612
#214553592
#214553532
#214552712
#214547642
#214547012
#214546972
#214546302
C61×#33732
#6134761