Finite Group Databasebeta

← #30571004

Subgroups — #30571004

Order 15616.

1656 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460325C211yesmaximal, characteristic, complemented
2#21459631C211yesmaximal, characteristic, complemented
3#21458788C211yesmaximal, characteristic, complemented
4#21458779C211yesmaximal, characteristic, complemented
5#21458766C211yesmaximal, characteristic, complemented
6#21458766C211yesmaximal, characteristic, complemented
7#21458753C211yesmaximal, characteristic, complemented
8#21458742C211yesmaximal, characteristic, complemented
9#21458731C211yesmaximal, characteristic, complemented
10#21458720C211yesmaximal, characteristic, complemented
11#21458663C211yesmaximal, characteristic, complemented
12#21458648C211yesmaximal, characteristic, complemented
13#21458635C211yesmaximal, characteristic, complemented
14#21458613C211yesmaximal, characteristic, complemented
15#21458589C211yesmaximal, characteristic, complemented
16#21458574C211yesmaximal, characteristic, complemented
17#21458561C211yesmaximal, characteristic, complemented
18#21458539C211yesmaximal, characteristic, complemented
19#21457119C211yesmaximal, characteristic, complemented
20#21457104C211yesmaximal, characteristic, complemented
21#21457089C211yesmaximal, characteristic, complemented
22#21457074C211yesmaximal, characteristic, complemented
23#21457051C211yesmaximal, characteristic, complemented
24#21457042C211yesmaximal, characteristic, complemented
25#21456098C211yesmaximal, characteristic, complemented
26#21456083C211yesmaximal, characteristic, complemented
27#21456035C211yesmaximal, characteristic, complemented
28#21456020C211yesmaximal, characteristic
29#21455930C211yesmaximal, characteristic, complemented
30#21455930C211yesmaximal, characteristic, complemented
31C61×#2987C211yesmaximal, characteristic, complemented
32#16840511—21no—
33#16840511—21no—
34#16840497C2211yescharacteristic
35#16840497C2211yescharacteristic
36Q8×Dic122C2211yescharacteristic
37Q8×Dic122C2211yescharacteristic
38#16840490C2211yescharacteristic
39#16840490C2211yescharacteristic
40#16840490C2211yescharacteristic
41#16840490C2211yescharacteristic
42#16840485C2211yescharacteristic
43#16840485C2211yescharacteristic
44#16840472C2211yescharacteristic
45#16840472C2211yescharacteristic
46#16840472C2211yescharacteristic
47#16840472C2211yescharacteristic
48#16840470—21no—
49#16840470—21no—
50#16840444—21no—
51#16840444—21no—
52Q8×D244C2211yescharacteristic
53Q8×D244C2211yescharacteristic
54#16840425—21no—
55#16840425—21no—
56#16840392—21no—
57#16840392—21no—
58#16840390C2211yescharacteristic
59#16840390C2211yescharacteristic
60#16840383C2211yescharacteristic
61#16840383C2211yescharacteristic
62#16840382—21no—
63#16840382—21no—
64#16840374C2211yescharacteristic
65#16840367C2211yescharacteristic
66#16840358—21no—
67#16840358—21no—
68#16840317—21no—
69C2×#14519777C2211yescharacteristic
70C4⋊Q8×D61—21no—
71#16840296C2211yescharacteristic
72#16840296C2211yescharacteristic
73#16840242C2211yescharacteristic
74#16840242C2211yescharacteristic
75C4×#11758222C2211yescharacteristic
76#16840171C2211yescharacteristic
77#16840171C2211yescharacteristic
78#16840171C2211yescharacteristic
79#16840171C2211yescharacteristic
80#16840171C2211yescharacteristic
81#16840171C2211yescharacteristic
82#16840171C2211yescharacteristic
83#16840171C2211yescharacteristic
84#16840167C2211yescharacteristic
85#16840164C2211yescharacteristic
86#16840164C2211yescharacteristic
87#16840160C2211yescharacteristic
88#16840131C2211yescharacteristic
89#16840127C2211yescharacteristic
90#16840122C2211yescharacteristic
91#16840122C2211yescharacteristic
92#16840122C2211yescharacteristic
93#16840122C2211yescharacteristic
94#16840122C2211yescharacteristic
95#16840122C2211yescharacteristic
96#16840117C2211yescharacteristic
97#16840117C2211yescharacteristic
98#16840113C2211yescharacteristic
99#16840109C2211yescharacteristic
100#16840104C2211yescharacteristic
101#16840104C2211yescharacteristic
102#16840098C2211yescharacteristic
103#16840098C2211yescharacteristic
104#16840093C2211yescharacteristic
105#16840093C2211yescharacteristic
106#16840087C2211yescharacteristic
107#16840087C2211yescharacteristic
108#16840081C2211yescharacteristic
109#16840081C2211yescharacteristic
110#16840076C2211yescharacteristic
111#16840076C2211yescharacteristic
112#16840070C2211yescharacteristic
113#16840070C2211yescharacteristic
114#16840070C2211yescharacteristic
115#16840070C2211yescharacteristic
116#16840070C2211yescharacteristic
117#16840070C2211yescharacteristic
118#16840070C2211yescharacteristic
119#16840070C2211yescharacteristic
120#16840063C2211yescharacteristic
121#16840063C2211yescharacteristic
122#16840063C2211yescharacteristic
123#16840063C2211yescharacteristic
124#16840063C2211yescharacteristic
125#16840063C2211yescharacteristic
126#16840063C2211yescharacteristic
127#16840063C2211yescharacteristic
128#16840058C2211yescharacteristic
129#16840058C2211yescharacteristic
130#16840058C2211yescharacteristic
131#16840058C2211yescharacteristic
132#16840058C2211yescharacteristic
133#16840053C2211yescharacteristic
134#16840053C2211yescharacteristic
135#16840053C2211yescharacteristic
136#16840053C2211yescharacteristic
137#16840053C2211yescharacteristic
138#16840048C2211yescharacteristic
139#16840048C2211yescharacteristic
140#16840048C2211yescharacteristic
141#16840048C2211yescharacteristic
142#16840048C2211yescharacteristic
143#16840043C2211yescharacteristic
144#16840043C2211yescharacteristic
145#16840043C2211yescharacteristic
146#16840043C2211yescharacteristic
147#16840043C2211yescharacteristic
148#16839985C2211yescharacteristic
149#16839985C2211yescharacteristic
150#16839985C2211yescharacteristic
151#16839985C2211yescharacteristic
152#16839978C2211yescharacteristic
153#16839978C2211yescharacteristic
154#16839978C2211yescharacteristic
155#16839978C2211yescharacteristic
156#16839973C2211yescharacteristic
157#16839968C2211yescharacteristic
158#16839963C2211yescharacteristic
159#16839958C2211yescharacteristic
160#16839926C2211yescharacteristic
161#16839926C2211yescharacteristic
162#16839909C2211yescharacteristic
163#16839909C2211yescharacteristic
164#16839875C2211yescharacteristic
165#16839875C2211yescharacteristic
166#16839875C2211yescharacteristic
167#16839875C2211yescharacteristic
168#16839870C2211yescharacteristic
169#16839870C2211yescharacteristic
170#16839870C2211yescharacteristic
171#16839870C2211yescharacteristic
172#16839864C2211yescharacteristic
173#16839864C2211yescharacteristic
174#16839864C2211yescharacteristic
175#16839864C2211yescharacteristic
176#16839864C2211yescharacteristic
177#16839864C2211yescharacteristic
178#16839864C2211yescharacteristic
179#16839864C2211yescharacteristic
180C4×Dic244C2211yescharacteristic
181C4×Dic244C2211yescharacteristic
182C4×#11758190C2211yescharacteristic
183C4×#11758190C2211yescharacteristic
184C4×#11758190C2211yescharacteristic
185C4×#11758190C2211yescharacteristic
186C4×D488C2211yescharacteristic
187C4×D488C2211yescharacteristic
188C61×#533C2211yescharacteristic
189C61×#446C2211yescharacteristic
190C61×#446C2211yescharacteristic
191C61×#446C2211yescharacteristic
192C61×#446C2211yescharacteristic
193C61×#446C2211yescharacteristic
194C61×#446C2211yescharacteristic
195C61×#446C2211yescharacteristic
196C61×#446C2211yescharacteristic
197C61×#433C2211yescharacteristic
198C61×#433C2211yescharacteristic
199C61×#433C2211yescharacteristic
200C61×#433C2211yescharacteristic
201C61×#432C2211yescharacteristic
202C61×#432C2211yescharacteristic
203C2×#11758222C2311yescharacteristic
204C22×Dic122—21no—
205C2×Q8×D61—21no—
206C2×Q8×D61—21no—
207C2×Dic244C2311yescharacteristic
208C2×Dic244C2311yescharacteristic
209C2×#11758190C2311yescharacteristic
210C2×#11758190C2311yescharacteristic
211C2×#11758190C2311yescharacteristic
212C2×#11758190C2311yescharacteristic
213C2×D488C2311yescharacteristic
214C2×D488C2311yescharacteristic
215#14519777—21no—
216#14519777—21no—
217#14519777C2311yescharacteristic
218#14519777C2311yescharacteristic
219#14519777C2311yescharacteristic
220#14519777C2311yescharacteristic
221#14519777C2311yescharacteristic
222#14519777C2311yescharacteristic
223#14519777C2311yescharacteristic
224#14519777C2311yescharacteristic
225#14519777C2311yescharacteristic
226#14519777C2311yescharacteristic
227#14519777C2311yescharacteristic
228#14519776—21no—
229#14519776—21no—
230#14519776—21no—
231#14519776—21no—
232#14519776—21no—
233#14519776—21no—
234#14519776—21no—
235#14519776—21no—
236#14519775—21no—
237#14519775—21no—
238#14519775—21no—
239#14519775—21no—
240#14519774C2311yescharacteristic
241#14519772—21no—
242#14519772—21no—
243#14519772—21no—
244#14519772—21no—
245#14519772—21no—
246#14519772—21no—
247#14519771—21no—
248#14519771—21no—
249#14519770—21no—
250#14519770—21no—
251#14519769C2311yescharacteristic
252#14519769C2311yescharacteristic
253#14519769C2311yescharacteristic
254#14519769C2311yescharacteristic
255#14519769C2311yescharacteristic
256#14519769C2311yescharacteristic
257#14519769C2311yescharacteristic
258#14519769C2311yescharacteristic
259#14519768—21no—
260#14519768—21no—
261#14519767—21no—
262#14519767—21no—
263#14519767—21no—
264#14519767—21no—
265#14519767—21no—
266#14519767—21no—
267#14519767—21no—
268#14519767—21no—
269#14519767—21no—
270#14519767—21no—
271#14519766—21no—
272#14519766—21no—
273#14519765C2311yescharacteristic
274#14519765C2311yescharacteristic
275#14519765C2311yescharacteristic
276#14519765C2311yescharacteristic
277#14519763—21no—
278#14519763—21no—
279#14519762—21no—
280#14519762—21no—
281#14519762—21no—
282#14519762—21no—
283#14519762—21no—
284#14519762—21no—
285#14519760—21no—
286#14519760—21no—
287#14519759—21no—
288#14519759—21no—
289#14519757—21no—
290#14519757—21no—
291#14519757—21no—
292#14519757—21no—
293#14519757—21no—
294#14519757—21no—
295#14519756C2311yescharacteristic
296#14519756C2311yescharacteristic
297#14519755—21no—
298#14519755—21no—
299#14519755—21no—
300#14519755—21no—
301#14519755—21no—
302#14519755—21no—
303#14519755—21no—
304#14519755—21no—
305#14519755—21no—
306#14519755—21no—
307#14519754—21no—
308#14519754—21no—
309#14519754—21no—
310#14519754—21no—
311#14519753—21no—
312#14519753—21no—
313#14519753—21no—
314#14519753—21no—
315#14519753—21no—
316#14519753—21no—
317#14519751C2311yescharacteristic
318#14519751C2311yescharacteristic
319#14519750—21no—
320#14519750—21no—
321Q8×Dic61—21no—
322Q8×Dic61—21no—
323C4×Dic122C2311yescharacteristic
324C4×Dic122C2311yescharacteristic
325C4×Dic122C2311yescharacteristic
326C4×Dic122C2311yescharacteristic
327C4×Dic122C2311yescharacteristic
328C4×Dic122C2311yescharacteristic
329C4×Dic122C2311yescharacteristic
330C4×Dic122C2311yescharacteristic
331C4×Dic122C2311yescharacteristic
332C4×Dic122C2311yescharacteristic
333C4×Dic122C2311yescharacteristic
334C4×Dic122C2311yescharacteristic
335#14519742—21no—
336#14519742—21no—
337#14519742—21no—
338#14519742—21no—
339C4×D244C2311yescharacteristic
340C4×D244C2311yescharacteristic
341C4×D244C2311yescharacteristic
342C4×D244C2311yescharacteristic
343C4×D244C2311yescharacteristic
344C4×D244C2311yescharacteristic
345C4×D244C2311yescharacteristic
346C4×D244C2311yescharacteristic
347C4×D244C2311yescharacteristic
348C4×D244C2311yescharacteristic
349C4×D244C2311yescharacteristic
350C4×D244C2311yescharacteristic
351#14519739—21no—
352#14519739—21no—
353C4×C22⋊D61—21no—
354C4×C22⋊D61—21no—
355C4×C22⋊D61—21no—
356C4×C22⋊D61—21no—
357#14519737—21no—
358#14519737—21no—
359#14519737—21no—
360#14519737—21no—
361#14519736C2311yescharacteristic
362#14519735—21no—
363#14519735—21no—
364#14519735—21no—
365#14519735—21no—
366#14519734—21no—
367#14519734—21no—
368#14519734—21no—
369C2×C4⋊Dic61—21no—
370C2×C4⋊Dic61C2311yescharacteristic
371C2×C4⋊Dic61C2311yescharacteristic
372C4⋊C4×D61—21no—
373C4⋊C4×D61—21no—
374C4⋊C4×D61—21no—
375C4⋊C4×D61—21no—
376C4⋊C4×D61—21no—
377C4⋊C4×D61—21no—
378C42×D61—21no—
379#14519711C2311yescharacteristic
380#14519711C2311yescharacteristic
381#14519711C2311yescharacteristic
382#14519711C2311yescharacteristic
383#14519711C2311yescharacteristic
384#14519711C2311yescharacteristic
385#14519711C2311yescharacteristic
386#14519711C2311yescharacteristic
387#14519711C2311yescharacteristic
388#14519711C2311yescharacteristic
389#14519711C2311yescharacteristic
390#14519711C2311yescharacteristic
391#14519709C2311yescharacteristic
392#14519709C2311yescharacteristic
393#14519709C2311yescharacteristic
394#14519709C2311yescharacteristic
395#14519709C2311yescharacteristic
396#14519709C2311yescharacteristic
397#14519709C2311yescharacteristic
398#14519709C2311yescharacteristic
399#14519709C2311yescharacteristic
400#14519709C2311yescharacteristic
401#14519709C2311yescharacteristic
402#14519709C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519702C2311yescharacteristic
415#14519702C2311yescharacteristic
416#14519702C2311yescharacteristic
417#14519702C2311yescharacteristic
418#14519702C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519699C2311yescharacteristic
426#14519699C2311yescharacteristic
427#14519699C2311yescharacteristic
428#14519699C2311yescharacteristic
429#14519699C2311yescharacteristic
430#14519699C2311yescharacteristic
431#14519699C2311yescharacteristic
432#14519699C2311yescharacteristic
433#14519699C2311yescharacteristic
434#14519699C2311yescharacteristic
435C4⋊Q8×C61D411yescharacteristic
436C4⋊Q8×C61D411yescharacteristic
437#125×C61D411yescharacteristic
438#125×C61D411yescharacteristic
439C22⋊Q8×C61D411yescharacteristic
440C22⋊Q8×C61D411yescharacteristic
441C22⋊Q8×C61D411yescharacteristic
442C22⋊Q8×C61D411yescharacteristic
443C4×Q8×C61C2311yescharacteristic
444C4×Q8×C61C2311yescharacteristic
445C4×Q8×C61C2311yescharacteristic
446C4×Q8×C61C2311yescharacteristic
447#117×C61C2311yescharacteristic
448#117×C61C2311yescharacteristic
449C2×C42×C61C2311yescharacteristic
450C4⋊C8×C61C2311yescharacteristic
451C4⋊C8×C61C2311yescharacteristic
452C4⋊C8×C61C2311yescharacteristic
453C4⋊C8×C61C2311yescharacteristic
454C4⋊C8×C61C2311yescharacteristic
455C4⋊C8×C61C2311yescharacteristic
456C4⋊C8×C61C2311yescharacteristic
457C4⋊C8×C61C2311yescharacteristic
458C4⋊C8×C61C2311yescharacteristic
459C4⋊C8×C61C2311yescharacteristic
460C4⋊C8×C61C2311yescharacteristic
461C4⋊C8×C61C2311yescharacteristic
462C22⋊C8×C61C2311yescharacteristic
463C22⋊C8×C61C2311yescharacteristic
464C22⋊C8×C61C2311yescharacteristic
465C22⋊C8×C61C2311yescharacteristic
466#97×C61C2311yescharacteristic
467#97×C61C2311yescharacteristic
468#97×C61C2311yescharacteristic
469#97×C61C2311yescharacteristic
470#97×C61C2311yescharacteristic
471#97×C61C2311yescharacteristic
472#97×C61C2311yescharacteristic
473#97×C61C2311yescharacteristic
474C4×C8×C61C2311yescharacteristic
475C4×C8×C61C2311yescharacteristic
476C4×C8×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C2×Q8×C61C2×D411yescharacteristic
479C2×Q8×C61C2×D411yescharacteristic
480C2×Q8×C61C2×D411yescharacteristic
481C2×Q8×C61C2×D411yescharacteristic
482C22×C4×C61C2×D411yescharacteristic
483C22×C4×C61C2×D411yescharacteristic
484C22×C4×C61C2411yescharacteristic
485C2×C22⋊D61—21no—
486C2×C22⋊D61—21no—
487C2×C22⋊D61—21no—
488C22×Dic61—21no—
489C22×Dic61—21no—
490Q8×D61—82no—
491Q8×D61—82no—
492#11758222—22no—
493#11758222—22no—
494C2×D244—21no—
495C2×D244—21no—
496C2×D244C2411yescharacteristic
497C2×D244C2411yescharacteristic
498C2×D244C2411yescharacteristic
499C2×C4×D61—21no—
500C2×C4×D61—21no—
501C2×C4×D61—21no—
502C2×C4×D61—21no—
503C2×C4×D61—21no—
504C2×C4×D61—21no—
505C2×C4×D61—21no—
506C2×C4×D61—21no—
507C2×C4×D61—21no—
508C2×C4×D61—21no—
509C2×C4×D61—21no—
510C2×C4×D61—21no—
511C2×C4×D61—21no—
512C2×Dic122—21no—
513C2×Dic122—21no—
514C2×Dic122—21no—
515C2×Dic122—21no—
516C2×Dic122—21no—
517C2×Dic122—21no—
518C2×Dic122—21no—
519C2×Dic122—21no—
520C2×Dic122—21no—
521C2×Dic122—21no—
522C2×Dic122—82no—
523C2×Dic122C2411yescharacteristic
524C2×Dic122C2411yescharacteristic
525C2×Dic122C2411yescharacteristic
526C2×C8×C61C2411yescharacteristic
527C2×C8×C61C2411yescharacteristic
528C2×C8×C61C2411yescharacteristic
529C2×C8×C61C2411yescharacteristic
530C2×C8×C61C2411yescharacteristic
531C2×C8×C61C2411yescharacteristic
532C2×C8×C61C2411yescharacteristic
533C2×C8×C61C2411yescharacteristic
534C4⋊C4×C61C2×D411yescharacteristic
535C4⋊C4×C61C2×D411yescharacteristic
536C4⋊C4×C61C2×D411yescharacteristic
537C4⋊C4×C61C2×D411yescharacteristic
538C4⋊C4×C61C2×D411yescharacteristic
539C4⋊C4×C61C2×D411yescharacteristic
540C4⋊C4×C61C2×D411yescharacteristic
541C4⋊C4×C61C2×D411yescharacteristic
542C4⋊C4×C61C2×D411yescharacteristic
543C4⋊C4×C61C2×D411yescharacteristic
544C4⋊C4×C61C2×D411yescharacteristic
545C4⋊C4×C61C2×D411yescharacteristic
546C4⋊C4×C61C2×D411yescharacteristic
547C4⋊C4×C61C2×D411yescharacteristic
548C4⋊C4×C61C2×D411yescharacteristic
549C4⋊C4×C61C2×D411yescharacteristic
550C22⋊C4×C61C2×D411yescharacteristic
551C22⋊C4×C61C2×D411yescharacteristic
552C22⋊C4×C61C2×D411yescharacteristic
553C22⋊C4×C61C2×D411yescharacteristic
554C42×C61C2×D411yescharacteristic
555C42×C61C2×D411yescharacteristic
556C42×C61C2411yescharacteristic
557C42×C61C2411yescharacteristic
558C42×C61C2411yescharacteristic
559C42×C61C2411yescharacteristic
560C42×C61C2411yescharacteristic
561C42×C61C2411yescharacteristic
562C22⋊Dic61—21no—
563C22⋊Dic61—21no—
564C22⋊Dic61—21no—
565#11758198—21no—
566#11758198—21no—
567#11758198—21no—
568#11758198—21no—
569#11758198—21no—
570#11758198—21no—
571#11758198—21no—
572#11758198—21no—
573#11758198—21no—
574#11758198—21no—
575#11758198—21no—
576#11758198—21no—
577#11758198—21no—
578#11758198—21no—
579#11758198—21no—
580#11758198—21no—
581#11758198—21no—
582#11758198—21no—
583#11758198—21no—
584#11758198—21no—
585#11758198—21no—
586#11758198—21no—
587C4⋊Dic61—21no—
588C4⋊Dic61—21no—
589C4⋊Dic61—21no—
590C4⋊Dic61—21no—
591C4⋊Dic61—21no—
592C4⋊Dic61—21no—
593C4⋊Dic61—21no—
594C4⋊Dic61—21no—
595C4⋊Dic61—21no—
596C4⋊Dic61—21no—
597C4⋊Dic61—21no—
598C4⋊Dic61—21no—
599C4⋊Dic61—21no—
600C4⋊Dic61—21no—
601C4⋊Dic61C2411yescharacteristic
602C4⋊Dic61C2411yescharacteristic
603C4⋊Dic61C2411yescharacteristic
604C4⋊Dic61C2411yescharacteristic
605C4⋊Dic61C2411yescharacteristic
606C4⋊Dic61C2411yescharacteristic
607C4⋊Dic61C2411yescharacteristic
608C4⋊Dic61C2411yescharacteristic
609C4⋊Dic61C2411yescharacteristic
610C4⋊Dic61C2411yescharacteristic
611#11758196—21no—
612#11758196—21no—
613#11758196—21no—
614#11758196—21no—
615#11758196—21no—
616#11758196—21no—
617#11758196—21no—
618#11758196—21no—
619#11758196—21no—
620#11758196—21no—
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#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—
641C4×Dic61—21no—
642C4×Dic61—21no—
643C4×Dic61—21no—
644C4×Dic61—21no—
645C4×Dic61—21no—
646C4×Dic61—21no—
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654Dic244—22no—
655Dic244—22no—
656D488—22no—
657D488—22no—
658#11758190—22no—
659#11758190—22no—
660#11758190—22no—
661#11758190—22no—
662C23×C61C22×D411yescharacteristic
663C22×D61—21no—
664C22×D61—21no—
665C22×D61—21no—
666Q8×C61—41no—
667Q8×C61—41no—
668Q8×C61—41no—
669Q8×C61—41no—
670C2×C4×C61—21no—
671C2×C4×C61—21no—
672C2×C4×C61—41no—
673C2×C4×C61—41no—
674C2×C4×C61C22×D411yescharacteristic
675C2×C4×C61C22×D411yescharacteristic
676C2×C4×C61C22×D411yescharacteristic
677C2×C4×C61C22×D411yescharacteristic
678C2×C4×C61C22×D411yescharacteristic
679C2×C4×C61C22×D411yescharacteristic
680C2×C4×C61C22×D411yescharacteristic
681C2×C4×C61C22×D411yescharacteristic
682C2×C4×C61C22×D411yescharacteristic
683C2×C4×C61C22×D411yescharacteristic
684C2×C4×C61C22×D411yescharacteristic
685C2×C4×C61C22×D411yescharacteristic
686C2×C4×C61C22×D411yescharacteristic
687C2×C4×C61C2511yescharacteristic
688C22⋊D61—24no—
689C22⋊D61—81no—
690C22⋊D61—81no—
691C2×Dic61—21no—
692C2×Dic61—21no—
693C2×Dic61—21no—
694C2×Dic61—21no—
695C2×Dic61—21no—
696C2×Dic61—21no—
697C2×Dic61—21no—
698C2×Dic61—21no—
699C2×Dic61—21no—
700C2×Dic61—21no—
701C2×Dic61—21no—
702C2×Dic61—21no—
703C2×Dic61—21no—
704C2×Dic61—81no—
705C2×Dic61—81no—
706D244—21no—
707D244—21no—
708D244—21no—
709D244—21no—
710D244—21no—
711D244—81no—
712D244—81no—
713D2442−1+412yes—
714C4×D61—24no—
715C4×D61—42no—
716C4×D61—42no—
717C4×D61—81no—
718C4×D61—81no—
719C4×D61—81no—
720C4×D61—81no—
721C4×D61—81no—
722C4×D61—81no—
723C4×D61—81no—
724C4×D61—81no—
725C4×D61—81no—
726C4×D61—81no—
727Dic122—21no—
728Dic122—21no—
729Dic122—21no—
730Dic122—21no—
731Dic122—21no—
732Dic122—42no—
733Dic122—42no—
734Dic122—81no—
735Dic122—81no—
736Dic122—81no—
737Dic122—81no—
738Dic122—81no—
739Dic122—81no—
740Dic122—81no—
741Dic122—81no—
742Dic1222−1+412yes—
743C8×C61—21no—
744C8×C61—21no—
745C8×C61—21no—
746C8×C61—21no—
747C8×C61—21no—
748C8×C61—21no—
749C8×C61—21no—
750C8×C61—21no—
751#61879—611nomaximal, Sylow
752C22×C61—21no—
753C22×C61—21no—
754C22×C61—21no—
755C22×C61C23×D411yescharacteristic
756C2×D61—22no—
757C2×D61—41no—
758C2×D61—41no—
759C2×D61—41no—
760C2×D61—41no—
761C2×D61—41no—
762C2×D61—41no—
763C2×D61—41no—
764C2×D61—41no—
765C4×C61—21no—
766C4×C61—21no—
767C4×C61—21no—
768C4×C61—21no—
769C4×C61—21no—
770C4×C61—21no—
771C4×C61—21no—
772C4×C61—21no—
773C4×C61—21no—
774C4×C61—21no—
775C4×C61—21no—
776C4×C61—21no—
777C4×C61—21no—
778C4×C61C2×2−1+411yescharacteristic
779C4×C61C2×2−1+411yescharacteristic
780Dic61—22no—
781Dic61—41no—
782Dic61—41no—
783Dic61—41no—
784Dic61—41no—
785Dic61—41no—
786Dic61—41no—
787Dic61—41no—
788Dic61—41no—
789Dic61—41no—
790Dic61—41no—
791Dic61—41no—
792Dic61—41no—
793#3557—611no—
794#3503—611no—
795#3390—611no—
796#3389—611no—
797#3388—611no—
798#3388—611no—
799#3387—611no—
800#3386—611no—
801#3385—611no—
802#3384—611no—
803#3377—611no—
804#3376—611no—
805#3375—611no—
806#3373—611no—
807#3371—611no—
808#3370—611no—
809#3369—611no—
810#3367—611no—
811#3244—611no—
812#3243—611no—
813#3242—611no—
814#3241—611no—
815#3239—611no—
816#3238—611no—
817#3125—611no—
818#3124—611no—
819#3120—611no—
820#3119—611no—
821#3111—611no—
822#3111—611no—
823#2987D6111yescharacteristic, complemented
824C2×C61—41no—
825C2×C61#348611yescharacteristic
826C2×C61#358511yescharacteristic
827C2×C61#358611yescharacteristic
828D61—42no—
829D61—81no—
830D61—81no—
831#563—1221no—
832#563—1221no—
833#559—611no—
834#559—611no—
835Q82—611no—
836Q82—611no—
837#557—611no—
838#557—611no—
839#557—611no—
840#557—611no—
841#556—611no—
842#556—611no—
843#554—611no—
844#554—611no—
845#554—611no—
846#554—611no—
847#554—1221no—
848#554—1221no—
849#552—1221no—
850#552—1221no—
851D4×Q8—611no—
852D4×Q8—611no—
853D4×Q8—1221no—
854D4×Q8—1221no—
855#544—611no—
856#544—611no—
857#544—1221no—
858#544—1221no—
859#542—611no—
860#542—611no—
861#542—1221no—
862#542—1221no—
863#541—611no—
864#540—611no—
865#539—1221no—
866#539—1221no—
867#533—1221no—
868#533C2×D6111yescharacteristic
869C2×C4⋊Q8—611no—
870C2×C4⋊Q8—1221no—
871#529—611no—
872#529—611no—
873#520—611no—
874#520—611no—
875C4×#41—611no—
876#501—611no—
877#501—611no—
878#501—611no—
879#501—611no—
880#501—611no—
881#501—611no—
882#501—611no—
883#501—611no—
884#500—611no—
885#499—611no—
886#499—611no—
887#498—611no—
888#491—611no—
889#490—611no—
890#489—611no—
891#489—611no—
892#489—611no—
893#489—611no—
894#489—611no—
895#489—611no—
896#488—611no—
897#488—611no—
898#487—611no—
899#486—611no—
900#485—611no—
901#485—611no—
902#484—611no—
903#484—611no—
904#483—611no—
905#483—611no—
906#482—611no—
907#482—611no—
908#481—611no—
909#481—611no—
910#480—611no—
911#480—611no—
912#479—611no—
913#479—611no—
914#479—611no—
915#479—611no—
916#479—611no—
917#479—611no—
918#479—611no—
919#479—611no—
920#478—611no—
921#478—611no—
922#478—611no—
923#478—611no—
924#478—611no—
925#478—611no—
926#478—611no—
927#478—611no—
928#477—611no—
929#477—611no—
930#477—611no—
931#477—611no—
932#477—611no—
933#476—611no—
934#476—611no—
935#476—611no—
936#476—611no—
937#476—611no—
938#475—611no—
939#475—611no—
940#475—611no—
941#475—611no—
942#475—611no—
943#474—611no—
944#474—611no—
945#474—611no—
946#474—611no—
947#474—611no—
948#464—611no—
949#464—611no—
950#464—611no—
951#464—611no—
952#463—611no—
953#463—611no—
954#463—611no—
955#463—611no—
956#462—611no—
957#461—611no—
958#460—611no—
959#459—611no—
960#452—611no—
961#452—611no—
962#449—611no—
963#449—611no—
964#446C2×D6111yescharacteristic
965#446C2×D6111yescharacteristic
966#446C2×D6111yescharacteristic
967#446C2×D6111yescharacteristic
968#446C2×D6111yescharacteristic
969#446C2×D6111yescharacteristic
970#446C2×D6111yescharacteristic
971#446C2×D6111yescharacteristic
972#442—611no—
973#442—611no—
974#442—611no—
975#442—611no—
976#441—611no—
977#441—611no—
978#441—611no—
979#441—611no—
980#440—611no—
981#440—611no—
982#440—611no—
983#440—611no—
984#440—611no—
985#440—611no—
986#440—611no—
987#440—611no—
988C4×Q16—611no—
989C4×Q16—611no—
990C4×SD16—611no—
991C4×SD16—611no—
992C4×SD16—611no—
993C4×SD16—611no—
994C4×D8—611no—
995C4×D8—611no—
996#433C2×D6111yescharacteristic
997#433C2×D6111yescharacteristic
998#433C2×D6111yescharacteristic
999#433C2×D6111yescharacteristic
1000#432C2×D6111yescharacteristic
1001#432C2×D6111yescharacteristic
1002C61#6187911yescharacteristic, complemented, Sylow
1003C2×#41—611no—
1004C22×Q8—1221no—
1005C22×Q8—1221no—
1006C22×Q8—1221no—
1007C2×Q16—611no—
1008C2×Q16—611no—
1009C2×SD16—611no—
1010C2×SD16—611no—
1011C2×SD16—611no—
1012C2×SD16—611no—
1013C2×D8—611no—
1014C2×D8—611no—
1015C4⋊Q8—611no—
1016C4⋊Q8—611no—
1017C4⋊Q8—611no—
1018C4⋊Q8—611no—
1019C4⋊Q8—611no—
1020C4⋊Q8—611no—
1021C4⋊Q8—611no—
1022C4⋊Q8—611no—
1023C4⋊Q8—611no—
1024C4⋊Q8—611no—
1025C4⋊Q8—611no—
1026C4⋊Q8—1221no—
1027C4⋊Q8—1221no—
1028C4⋊Q8—1221no—
1029C4⋊Q8—1221no—
1030C4⋊Q8—1221no—
1031C4⋊Q8—1221no—
1032C4⋊Q8—1221no—
1033C4⋊Q8—1221no—
1034C4⋊Q8—1221no—
1035C4⋊Q8—1221no—
1036C4⋊Q8—1221no—
1037C4⋊Q8—1221no—
1038C4⋊Q8—1221no—
1039C4⋊Q8—1221no—
1040C4⋊Q8D24411yescharacteristic
1041C4⋊Q8D24411yescharacteristic
1042#127—611no—
1043#126—1221no—
1044#126—1221no—
1045#126—1221no—
1046#126—1221no—
1047#126—1221no—
1048#126—1221no—
1049#126—1221no—
1050#126—1221no—
1051#126—1221no—
1052#126—1221no—
1053#125—611no—
1054#125—611no—
1055#125—611no—
1056#125—611no—
1057#125—611no—
1058#125—611no—
1059#125—611no—
1060#125—611no—
1061#125—1221no—
1062#125—1221no—
1063#125—1221no—
1064#125—1221no—
1065#125—1221no—
1066#125—1221no—
1067#125—1221no—
1068#125—1221no—
1069#125—1221no—
1070#125—1221no—
1071#125—1221no—
1072#125—1221no—
1073#125D24411yescharacteristic
1074#125D24411yescharacteristic
1075#124—611no—
1076#124—611no—
1077#124—611no—
1078#124—611no—
1079#124—1221no—
1080#124—1221no—
1081#124—1221no—
1082#124—1221no—
1083#123—1221no—
1084#123—1221no—
1085#123—1221no—
1086#123—1221no—
1087#123—1221no—
1088#123—1221no—
1089#123—1221no—
1090#123—1221no—
1091#123—1221no—
1092#123—1221no—
1093C22⋊Q8—611no—
1094C22⋊Q8—611no—
1095C22⋊Q8—1221no—
1096C22⋊Q8—1221no—
1097C22⋊Q8—1221no—
1098C22⋊Q8—1221no—
1099C22⋊Q8—1221no—
1100C22⋊Q8—1221no—
1101C22⋊Q8—1221no—
1102C22⋊Q8—1221no—
1103C22⋊Q8—1221no—
1104C22⋊Q8—1221no—
1105C22⋊Q8—1221no—
1106C22⋊Q8—1221no—
1107C22⋊Q8—1221no—
1108C22⋊Q8—1221no—
1109C22⋊Q8—1221no—
1110C22⋊Q8—1221no—
1111C22⋊Q8—1221no—
1112C22⋊Q8—1221no—
1113C22⋊Q8—1221no—
1114C22⋊Q8—1221no—
1115C22⋊Q8—1221no—
1116C22⋊Q8—1221no—
1117C22⋊Q8—1221no—
1118C22⋊Q8—1221no—
1119C22⋊Q8—1221no—
1120C22⋊Q8—1221no—
1121C22⋊Q8D24411yescharacteristic
1122C22⋊Q8D24411yescharacteristic
1123C22⋊Q8D24411yescharacteristic
1124C22⋊Q8D24411yescharacteristic
1125#121—611no—
1126#121—611no—
1127#121—1221no—
1128#121—1221no—
1129C4×Q8—611no—
1130C4×Q8—611no—
1131C4×Q8—611no—
1132C4×Q8—611no—
1133C4×Q8—611no—
1134C4×Q8—611no—
1135C4×Q8—611no—
1136C4×Q8—611no—
1137C4×Q8—611no—
1138C4×Q8—611no—
1139C4×Q8—611no—
1140C4×Q8—611no—
1141C4×Q8—1221no—
1142C4×Q8—1221no—
1143C4×Q8—1221no—
1144C4×Q8—1221no—
1145C4×Q8—1221no—
1146C4×Q8—1221no—
1147C4×Q8C22×D6111yescharacteristic
1148C4×Q8C22×D6111yescharacteristic
1149C4×Q8C22×D6111yescharacteristic
1150C4×Q8C22×D6111yescharacteristic
1151C4×D4—611no—
1152C4×D4—611no—
1153C4×D4—611no—
1154C4×D4—611no—
1155C4×D4—611no—
1156C4×D4—611no—
1157C4×D4—611no—
1158C4×D4—611no—
1159C4×D4—611no—
1160C4×D4—611no—
1161C4×D4—611no—
1162C4×D4—611no—
1163C4×D4—1221no—
1164C4×D4—1221no—
1165C4×D4—1221no—
1166C4×D4—1221no—
1167C4×D4—1221no—
1168C4×D4—1221no—
1169C4×D4—1221no—
1170C4×D4—1221no—
1171C4×D4—1221no—
1172C4×D4—1221no—
1173#117—611no—
1174#117—1221no—
1175#117—1221no—
1176#117—1221no—
1177#117—1221no—
1178#117—1221no—
1179#117—1221no—
1180#117—1221no—
1181#117C22×D6111yescharacteristic
1182#117C22×D6111yescharacteristic
1183C2×C4⋊C4—611no—
1184C2×C4⋊C4—611no—
1185C2×C4⋊C4—1221no—
1186C2×C4⋊C4—1221no—
1187C2×C4⋊C4—1221no—
1188C2×C4⋊C4—1221no—
1189C2×C4⋊C4—1221no—
1190C2×C4⋊C4—1221no—
1191C2×C4⋊C4—1221no—
1192C2×C42—1221no—
1193C2×C42C22×D6111yescharacteristic
1194#107—611no—
1195#107—611no—
1196#107—611no—
1197#107—611no—
1198#107—611no—
1199#107—611no—
1200#107—611no—
1201#107—611no—
1202#107—611no—
1203#107—611no—
1204#107—611no—
1205#107—611no—
1206#106—611no—
1207#106—611no—
1208#106—611no—
1209#106—611no—
1210#106—611no—
1211#106—611no—
1212#106—611no—
1213#106—611no—
1214#106—611no—
1215#106—611no—
1216#106—611no—
1217#106—611no—
1218C4⋊C8C22×D6111yescharacteristic
1219C4⋊C8C22×D6111yescharacteristic
1220C4⋊C8C22×D6111yescharacteristic
1221C4⋊C8C22×D6111yescharacteristic
1222C4⋊C8C22×D6111yescharacteristic
1223C4⋊C8C22×D6111yescharacteristic
1224C4⋊C8C22×D6111yescharacteristic
1225C4⋊C8C22×D6111yescharacteristic
1226C4⋊C8C22×D6111yescharacteristic
1227C4⋊C8C22×D6111yescharacteristic
1228C4⋊C8C22×D6111yescharacteristic
1229C4⋊C8C22×D6111yescharacteristic
1230#103—611no—
1231#103—611no—
1232#103—611no—
1233#103—611no—
1234#103—611no—
1235#103—611no—
1236#103—611no—
1237#103—611no—
1238#103—611no—
1239#103—611no—
1240#103—611no—
1241#103—611no—
1242#103—611no—
1243#103—611no—
1244#103—611no—
1245#103—611no—
1246#102—611no—
1247#102—611no—
1248#102—611no—
1249#102—611no—
1250#102—611no—
1251#102—611no—
1252#102—611no—
1253#102—611no—
1254#102—611no—
1255#102—611no—
1256#102—611no—
1257#102—611no—
1258#102—611no—
1259#102—611no—
1260#102—611no—
1261#102—611no—
1262C22⋊C8C22×D6111yescharacteristic
1263C22⋊C8C22×D6111yescharacteristic
1264C22⋊C8C22×D6111yescharacteristic
1265C22⋊C8C22×D6111yescharacteristic
1266#97C22×D6111yescharacteristic
1267#97C22×D6111yescharacteristic
1268#97C22×D6111yescharacteristic
1269#97C22×D6111yescharacteristic
1270#97C22×D6111yescharacteristic
1271#97C22×D6111yescharacteristic
1272#97C22×D6111yescharacteristic
1273#97C22×D6111yescharacteristic
1274C4×C8C22×D6111yescharacteristic
1275C4×C8C22×D6111yescharacteristic
1276C4×C8C22×D6111yescharacteristic
1277C4×C8C22×D6111yescharacteristic
1278#41—1222no—
1279#41—1222no—
1280C2×Q8—611no—
1281C2×Q8—611no—
1282C2×Q8—611no—
1283C2×Q8—1221no—
1284C2×Q8—1221no—
1285C2×Q8—1221no—
1286C2×Q8—1221no—
1287C2×Q8—1221no—
1288C2×Q8—1221no—
1289C2×Q8—1221no—
1290C2×Q8—1221no—
1291C2×Q8—1221no—
1292C2×Q8—1221no—
1293C2×Q8—4882no—
1294C2×Q8—4882no—
1295C2×Q8—4882no—
1296C2×Q8C2×D24411yescharacteristic
1297C2×Q8C2×D24411yescharacteristic
1298C2×Q8C2×D24411yescharacteristic
1299C2×Q8C2×D24411yescharacteristic
1300C2×D4—611no—
1301C2×D4—611no—
1302C2×D4—611no—
1303C2×D4—1221no—
1304C2×D4—1221no—
1305C2×D4—1221no—
1306C2×D4—1221no—
1307C2×D4—1221no—
1308C22×C4—1221no—
1309C22×C4—1221no—
1310C22×C4—1221no—
1311C22×C4—1221no—
1312C22×C4—1221no—
1313C22×C4—1221no—
1314C22×C4—1221no—
1315C22×C4—1221no—
1316C22×C4—1221no—
1317C22×C4—1221no—
1318C22×C4—1221no—
1319C22×C4—1221no—
1320C22×C4—1221no—
1321C22×C4—1221no—
1322C22×C4—1221no—
1323C22×C4C2×D24411yescharacteristic
1324C22×C4C2×D24411yescharacteristic
1325C22×C4C23×D6111yescharacteristic
1326Q16—1222no—
1327Q16—1222no—
1328SD16—1222no—
1329SD16—1222no—
1330SD16—1222no—
1331SD16—1222no—
1332D8—1222no—
1333D8—1222no—
1334C2×C8C23×D6111yescharacteristic
1335C2×C8C23×D6111yescharacteristic
1336C2×C8C23×D6111yescharacteristic
1337C2×C8C23×D6111yescharacteristic
1338C2×C8C23×D6111yescharacteristic
1339C2×C8C23×D6111yescharacteristic
1340C2×C8C23×D6111yescharacteristic
1341C2×C8C23×D6111yescharacteristic
1342C4⋊C4—611no—
1343C4⋊C4—611no—
1344C4⋊C4—611no—
1345C4⋊C4—611no—
1346C4⋊C4—611no—
1347C4⋊C4—611no—
1348C4⋊C4—611no—
1349C4⋊C4—611no—
1350C4⋊C4—611no—
1351C4⋊C4—611no—
1352C4⋊C4—1221no—
1353C4⋊C4—1221no—
1354C4⋊C4—1221no—
1355C4⋊C4—1221no—
1356C4⋊C4—1221no—
1357C4⋊C4—1221no—
1358C4⋊C4—1221no—
1359C4⋊C4—1221no—
1360C4⋊C4—1221no—
1361C4⋊C4—1221no—
1362C4⋊C4—1221no—
1363C4⋊C4—1221no—
1364C4⋊C4—1221no—
1365C4⋊C4—1221no—
1366C4⋊C4—1221no—
1367C4⋊C4—1221no—
1368C4⋊C4—1221no—
1369C4⋊C4—1221no—
1370C4⋊C4—1221no—
1371C4⋊C4—1221no—
1372C4⋊C4—1221no—
1373C4⋊C4—1221no—
1374C4⋊C4—1221no—
1375C4⋊C4—1221no—
1376C4⋊C4—1221no—
1377C4⋊C4—1221no—
1378C4⋊C4—1221no—
1379C4⋊C4—1221no—
1380C4⋊C4—1221no—
1381C4⋊C4—1221no—
1382C4⋊C4—1221no—
1383C4⋊C4—1221no—
1384C4⋊C4—1221no—
1385C4⋊C4—1221no—
1386C4⋊C4—1221no—
1387C4⋊C4—1221no—
1388C4⋊C4—1221no—
1389C4⋊C4—1221no—
1390C4⋊C4—1221no—
1391C4⋊C4—1221no—
1392C4⋊C4—1221no—
1393C4⋊C4—1221no—
1394C4⋊C4—1221no—
1395C4⋊C4—1221no—
1396C4⋊C4C2×D24411yescharacteristic
1397C4⋊C4C2×D24411yescharacteristic
1398C4⋊C4C2×D24411yescharacteristic
1399C4⋊C4C2×D24411yescharacteristic
1400C4⋊C4C2×D24411yescharacteristic
1401C4⋊C4C2×D24411yescharacteristic
1402C4⋊C4C2×D24411yescharacteristic
1403C4⋊C4C2×D24411yescharacteristic
1404C4⋊C4C2×D24411yescharacteristic
1405C4⋊C4C2×D24411yescharacteristic
1406C4⋊C4C2×D24411yescharacteristic
1407C4⋊C4C2×D24411yescharacteristic
1408C4⋊C4C2×D24411yescharacteristic
1409C4⋊C4C2×D24411yescharacteristic
1410C4⋊C4C2×D24411yescharacteristic
1411C4⋊C4C2×D24411yescharacteristic
1412C22⋊C4—1221no—
1413C22⋊C4—1221no—
1414C22⋊C4—1221no—
1415C22⋊C4—1221no—
1416C22⋊C4—1221no—
1417C22⋊C4—1221no—
1418C22⋊C4—1221no—
1419C22⋊C4—1221no—
1420C22⋊C4—1221no—
1421C22⋊C4—1221no—
1422C22⋊C4—1221no—
1423C22⋊C4—1221no—
1424C22⋊C4—1221no—
1425C22⋊C4—1221no—
1426C22⋊C4—1221no—
1427C22⋊C4—1221no—
1428C22⋊C4—1221no—
1429C22⋊C4—1221no—
1430C22⋊C4—1221no—
1431C22⋊C4—1221no—
1432C22⋊C4—1221no—
1433C22⋊C4—1221no—
1434C22⋊C4—1221no—
1435C22⋊C4—1221no—
1436C22⋊C4—1221no—
1437C22⋊C4C2×D24411yescharacteristic
1438C22⋊C4C2×D24411yescharacteristic
1439C22⋊C4C2×D24411yescharacteristic
1440C22⋊C4C2×D24411yescharacteristic
1441C42—1221no—
1442C42—1221no—
1443C42—1221no—
1444C42—1221no—
1445C42—1221no—
1446C42—1221no—
1447C42—1221no—
1448C42—1221no—
1449C42—1221no—
1450C42—1221no—
1451C42—1221no—
1452C42—1221no—
1453C42—1221no—
1454C42C2×D24411yescharacteristic
1455C42C2×D24411yescharacteristic
1456C42C23×D6111yescharacteristic
1457C42C23×D6111yescharacteristic
1458C42C23×D6111yescharacteristic
1459C42C23×D6111yescharacteristic
1460C42C23×D6111yescharacteristic
1461C42C23×D6111yescharacteristic
1462C23—1221no—
1463C23—1221no—
1464C23—1221no—
1465C23C22×D24411yescharacteristic
1466Q8—41no—
1467Q8—41no—
1468Q8—41no—
1469Q8—41no—
1470Q8—612no—
1471Q8—1221no—
1472Q8—1221no—
1473Q8—1221no—
1474Q8—1221no—
1475Q8—1221no—
1476Q8—4881no—
1477Q8—4881no—
1478Q8—4881no—
1479Q8—4881no—
1480Q8—4881no—
1481Q8—4881no—
1482Q8—4881no—
1483Q8—4881no—
1484Q8—2442no—
1485Q8—2442no—
1486D4—612no—
1487D4—1224no—
1488D4—1221no—
1489D4—1221no—
1490D4—1221no—
1491D4—1221no—
1492D4—1221no—
1493D4—4881no—
1494D4—4881no—
1495D4—4881no—
1496D4—4881no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—41no—
1500C2×C4—41no—
1501C2×C4—1224no—
1502C2×C4—1221no—
1503C2×C4—1221no—
1504C2×C4—1221no—
1505C2×C4—1221no—
1506C2×C4—1221no—
1507C2×C4—1221no—
1508C2×C4—1221no—
1509C2×C4—1221no—
1510C2×C4—1221no—
1511C2×C4—1221no—
1512C2×C4—1221no—
1513C2×C4—1221no—
1514C2×C4—1221no—
1515C2×C4—4881no—
1516C2×C4—4881no—
1517C2×C4—4881no—
1518C2×C4—4881no—
1519C2×C4—4881no—
1520C2×C4—4881no—
1521C2×C4—4881no—
1522C2×C4—4881no—
1523C2×C4—4881no—
1524C2×C4—4881no—
1525C2×C4—4881no—
1526C2×C4—4881no—
1527C2×C4—2442no—
1528C2×C4—2442no—
1529C2×C4C22×D24411yescharacteristic
1530C2×C4C22×D24411yescharacteristic
1531C2×C4C22×D24411yescharacteristic
1532C2×C4C22×D24411yescharacteristic
1533C2×C4C22×D24411yescharacteristic
1534C2×C4C22×D24411yescharacteristic
1535C2×C4C22×D24411yescharacteristic
1536C2×C4C22×D24411yescharacteristic
1537C2×C4C22×D24411yescharacteristic
1538C2×C4C22×D24411yescharacteristic
1539C2×C4C22×D24411yescharacteristic
1540C2×C4C22×D24411yescharacteristic
1541C2×C4C22×D24411yescharacteristic
1542C2×C4C24×D6111yescharacteristic
1543C8—21no—
1544C8—21no—
1545C8—21no—
1546C8—21no—
1547C8—21no—
1548C8—21no—
1549C8—21no—
1550C8—21no—
1551C22—21no—
1552C22—21no—
1553C22—21no—
1554C22—1222no—
1555C22—2441no—
1556C22—2441no—
1557C22—2441no—
1558C22—2441no—
1559C22—2441no—
1560C22—2441no—
1561C22—2441no—
1562C22—2441no—
1563C22C23×D24411yescharacteristic
1564C4—21no—
1565C4—21no—
1566C4—21no—
1567C4—21no—
1568C4—21no—
1569C4—21no—
1570C4—21no—
1571C4—21no—
1572C4—21no—
1573C4—21no—
1574C4—21no—
1575C4—21no—
1576C4—21no—
1577C4—1222no—
1578C4—2441no—
1579C4—2441no—
1580C4—2441no—
1581C4—2441no—
1582C4—2441no—
1583C4—2441no—
1584C4—2441no—
1585C4—2441no—
1586C4—2441no—
1587C4—2441no—
1588C4—2441no—
1589C4—2441no—
1590C42−1+4×D6111yescharacteristic
1591C42−1+4×D6111yescharacteristic
1592C2—41no—
1593C2—4881no—
1594C2—4881no—
1595C2—2442no—
1596C2#2145947111yescharacteristic
1597C2#2146060011yescharacteristic
1598C2#2146060711yescharacteristic
subgroupG/H
centerC22C23×D244
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#2987C2
socleC22×C61C23×D4
prime radical#21456020C2
hypercenter#2987D61
hypocenterC61#61879
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #533 ◁ #2987

Complements

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

NH ≅ G/Ntype
1. #21460325C2semidirect
2. #21459631C2semidirect
3. #21458788C2semidirect
4. #21458779C2semidirect
5. #21458766C2semidirect
6. #21458766C2semidirect
7. #21458753C2semidirect
8. #21458742C2semidirect
9. #21458731C2semidirect
10. #21458720C2semidirect
11. #21458663C2semidirect
12. #21458648C2semidirect
13. #21458635C2semidirect
14. #21458613C2semidirect
15. #21458589C2semidirect
16. #21458574C2semidirect
17. #21458561C2semidirect
18. #21458539C2semidirect
19. #21457119C2semidirect
20. #21457104C2semidirect
21. #21457089C2semidirect
22. #21457074C2semidirect
23. #21457051C2semidirect
24. #21457042C2semidirect
25. #21456098C2semidirect
26. #21456083C2semidirect
27. #21456035C2semidirect
29. #21455930C2semidirect
30. #21455930C2semidirect
31. C61×#2987C2semidirect
823. #2987D61semidirect
1002. C61#61879semidirect

Maximal subgroups

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

subgroupindex
#214603252
#214596312
#214587882
#214587792
#214587662
#214587532
#214587422
#214587312
#214587202
#214586632
#214586482
#214586352
#214586132
#214585892
#214585742
#214585612
#214585392
#214571192
#214571042
#214570892
#214570742
#214570512
#214570422
#214560982
#214560832
#214560352
#214560202
#214559302
C61×#29872
#6187961