Finite Group Databasebeta

← #30570818

Subgroups — #30570818

Order 15616.

1644 conjugacy classes of subgroups.

The subgroup lattice has 1568 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460312C211yesmaximal, characteristic, complemented
2#21459632C211yesmaximal, characteristic
3#21458754C211yesmaximal, characteristic, complemented
4#21458752C211yesmaximal, characteristic, complemented
5#21458741C211yesmaximal, characteristic, complemented
6#21458735C211yesmaximal, characteristic, complemented
7#21458710C211yesmaximal, characteristic, complemented
8#21458705C211yesmaximal, characteristic, complemented
9#21458695C211yesmaximal, characteristic, complemented
10#21458689C211yesmaximal, characteristic, complemented
11#21458623C211yesmaximal, characteristic, complemented
12#21458617C211yesmaximal, characteristic, complemented
13#21458601C211yesmaximal, characteristic, complemented
14#21458595C211yesmaximal, characteristic, complemented
15#21458495C211yesmaximal, characteristic, complemented
16#21458492C211yesmaximal, characteristic, complemented
17#21458459C211yesmaximal, characteristic, complemented
18#21458456C211yesmaximal, characteristic, complemented
19#21457091C211yesmaximal, characteristic, complemented
20#21457089C211yesmaximal, characteristic, complemented
21#21457083C211yesmaximal, characteristic, complemented
22#21457081C211yesmaximal, characteristic, complemented
23#21456968C211yesmaximal, characteristic, complemented
24#21456961C211yesmaximal, characteristic, complemented
25#21456034C211yesmaximal, characteristic
26#21456033C211yesmaximal, characteristic
27#21456026C211yesmaximal, characteristic
28#21455883C211yesmaximal, characteristic
29#21455883C211yesmaximal, characteristic
30#21454918C211yesmaximal, characteristic, complemented
31C61×#3120C211yesmaximal, characteristic
32C61⋊#564—21no—
33C61⋊#564—21no—
34Q8×Dic122C2211yescharacteristic
35Q8×Dic122C2211yescharacteristic
36#16840490C2211yescharacteristic
37#16840490C2211yescharacteristic
38#16840489—21no—
39#16840489—21no—
40#16840489C2211yescharacteristic
41#16840489C2211yescharacteristic
42#16840488C2211yescharacteristic
43#16840488C2211yescharacteristic
44#16840488C2211yescharacteristic
45#16840488C2211yescharacteristic
46#16840487C2211yescharacteristic
47#16840487C2211yescharacteristic
48#16840471—21no—
49#16840471—21no—
50#16840471C2211yescharacteristic
51#16840471C2211yescharacteristic
52D4×Dic122—21no—
53D4×Dic122—21no—
54D4×Dic122C2211yescharacteristic
55D4×Dic122C2211yescharacteristic
56#16840393—21no—
57#16840393C2211yescharacteristic
58#16840390—21no—
59#16840390C2211yescharacteristic
60#16840374C2211yescharacteristic
61#16840372C2211yescharacteristic
62#16840372C2211yescharacteristic
63#16840369—21no—
64#16840369—21no—
65#16840369—21no—
66#16840369—21no—
67#16840315—21no—
68#16840315C2211yescharacteristic
69#16840314C2211yescharacteristic
70#16840314C2211yescharacteristic
71C2×#14519776—21no—
72C2×#14519776C2211yescharacteristic
73#16840245C2211yescharacteristic
74#41×Dic61C2211yescharacteristic
75#16840172C2211yescharacteristic
76#16840171C2211yescharacteristic
77#16840170C2211yescharacteristic
78#16840169C2211yescharacteristic
79#16840166C2211yescharacteristic
80#16840166C2211yescharacteristic
81#16840164C2211yescharacteristic
82#16840163C2211yescharacteristic
83#16840162C2211yescharacteristic
84#16840161C2211yescharacteristic
85#16840159C2211yescharacteristic
86#16840159C2211yescharacteristic
87#16840131C2211yescharacteristic
88#16840130C2211yescharacteristic
89#16840129C2211yescharacteristic
90#16840129C2211yescharacteristic
91#16840113C2211yescharacteristic
92#16840112C2211yescharacteristic
93#16840111C2211yescharacteristic
94#16840111C2211yescharacteristic
95#16840111C2211yescharacteristic
96#16840111C2211yescharacteristic
97#16840111C2211yescharacteristic
98#16840111C2211yescharacteristic
99#16840104C2211yescharacteristic
100#16840104C2211yescharacteristic
101#16840100C2211yescharacteristic
102#16840100C2211yescharacteristic
103#16840098C2211yescharacteristic
104#16840097C2211yescharacteristic
105#16840095C2211yescharacteristic
106#16840093C2211yescharacteristic
107#16840092C2211yescharacteristic
108#16840090C2211yescharacteristic
109#16840072C2211yescharacteristic
110#16840071C2211yescharacteristic
111#16840071C2211yescharacteristic
112#16840070C2211yescharacteristic
113#16840070C2211yescharacteristic
114#16840069C2211yescharacteristic
115#16840069C2211yescharacteristic
116#16840069C2211yescharacteristic
117#16840068C2211yescharacteristic
118#16840067C2211yescharacteristic
119#16840067C2211yescharacteristic
120#16840064C2211yescharacteristic
121#16840062C2211yescharacteristic
122#16840060C2211yescharacteristic
123#16840058C2211yescharacteristic
124#16840057C2211yescharacteristic
125#16840056C2211yescharacteristic
126#16840056C2211yescharacteristic
127#16840056C2211yescharacteristic
128#16840055C2211yescharacteristic
129#16840055C2211yescharacteristic
130#16840055C2211yescharacteristic
131#16840048C2211yescharacteristic
132#16840047C2211yescharacteristic
133#16840046C2211yescharacteristic
134#16840046C2211yescharacteristic
135#16840046C2211yescharacteristic
136#16840045C2211yescharacteristic
137#16840045C2211yescharacteristic
138#16840045C2211yescharacteristic
139#16840045C2211yescharacteristic
140#16840045C2211yescharacteristic
141#16840040C2211yescharacteristic
142#16840040C2211yescharacteristic
143#16839972C2211yescharacteristic
144#16839970C2211yescharacteristic
145#16839970C2211yescharacteristic
146#16839970C2211yescharacteristic
147#16839970C2211yescharacteristic
148#16839967C2211yescharacteristic
149#16839965C2211yescharacteristic
150#16839965C2211yescharacteristic
151#16839965C2211yescharacteristic
152#16839965C2211yescharacteristic
153#16839924C2211yescharacteristic
154#16839924C2211yescharacteristic
155#16839891C2211yescharacteristic
156#16839891C2211yescharacteristic
157#16839890C2211yescharacteristic
158#16839890C2211yescharacteristic
159C8×Dic122C2211yescharacteristic
160C8×Dic122C2211yescharacteristic
161#16839886C2211yescharacteristic
162#16839886C2211yescharacteristic
163#16839869C2211yescharacteristic
164#16839867C2211yescharacteristic
165#16839866C2211yescharacteristic
166#16839863C2211yescharacteristic
167#16839862C2211yescharacteristic
168#16839859C2211yescharacteristic
169Q16×Dic61C2211yescharacteristic
170Q16×Dic61C2211yescharacteristic
171Q16×Dic61C2211yescharacteristic
172C4×#11758202C2211yescharacteristic
173#16839854C2211yescharacteristic
174#16839854C2211yescharacteristic
175#16839854C2211yescharacteristic
176#16839853C2211yescharacteristic
177#16839853C2211yescharacteristic
178#16839853C2211yescharacteristic
179SD16×Dic61C2211yescharacteristic
180SD16×Dic61C2211yescharacteristic
181SD16×Dic61C2211yescharacteristic
182C4×#11758200C2211yescharacteristic
183#16839823C2211yescharacteristic
184#16839820C2211yescharacteristic
185#16839820C2211yescharacteristic
186#16839812C2211yescharacteristic
187#16839812C2211yescharacteristic
188C61×#541C2211yescharacteristic
189C61×#520C2211yescharacteristic
190C61×#484C2211yescharacteristic
191C61×#483C2211yescharacteristic
192C61×#479C2211yescharacteristic
193C61×#478C2211yescharacteristic
194C61×#462C2211yescharacteristic
195C61×#461C2211yescharacteristic
196C61×#452C2211yescharacteristic
197C61×#452C2211yescharacteristic
198C61×#441C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C4×Q16×C61C2211yescharacteristic
201C4×SD16×C61C2211yescharacteristic
202C61×#433C2211yescharacteristic
203C22×Dic122—21no—
204C22×Dic122—21no—
205C22×Dic122—21no—
206C2×#11758202C2311yescharacteristic
207C2×#11758202C2311yescharacteristic
208C2×#11758200C2311yescharacteristic
209C2×#11758200C2311yescharacteristic
210#14519777—21no—
211#14519777—21no—
212#14519777C2311yescharacteristic
213#14519777C2311yescharacteristic
214#14519777C2311yescharacteristic
215#14519776—21no—
216#14519776—21no—
217#14519776—21no—
218#14519776—21no—
219#14519776—21no—
220#14519776—21no—
221#14519776—21no—
222#14519776—21no—
223#14519776—21no—
224#14519776—21no—
225#14519776—21no—
226#14519776—21no—
227#14519776—21no—
228#14519776—21no—
229#14519776D411yescharacteristic
230#14519776D411yescharacteristic
231#14519776C2311yescharacteristic
232#14519776C2311yescharacteristic
233#14519776C2311yescharacteristic
234#14519776C2311yescharacteristic
235#14519776C2311yescharacteristic
236#14519776C2311yescharacteristic
237#14519776C2311yescharacteristic
238#14519776C2311yescharacteristic
239#14519775C2311yescharacteristic
240#14519775C2311yescharacteristic
241#14519775C2311yescharacteristic
242#14519775C2311yescharacteristic
243#14519770—21no—
244#14519770—21no—
245#14519770—21no—
246#14519770—21no—
247#14519770—21no—
248#14519770—21no—
249#14519769—21no—
250#14519769—21no—
251#14519769—21no—
252#14519769—21no—
253#14519769—21no—
254#14519769—21no—
255#14519769C2311yescharacteristic
256#14519769C2311yescharacteristic
257#14519769C2311yescharacteristic
258#14519768—21no—
259#14519768—21no—
260#14519768—21no—
261#14519768—21no—
262#14519768—21no—
263#14519768—21no—
264#14519768—21no—
265#14519768—21no—
266#14519768—21no—
267#14519768—21no—
268#14519768D411yescharacteristic
269#14519768D411yescharacteristic
270#14519768C2311yescharacteristic
271#14519768C2311yescharacteristic
272#14519768C2311yescharacteristic
273#14519768C2311yescharacteristic
274#14519767—21no—
275#14519767—21no—
276#14519767—21no—
277#14519767—21no—
278#14519767—21no—
279#14519767—21no—
280#14519767—21no—
281#14519767—21no—
282#14519767—21no—
283#14519767—21no—
284#14519767—21no—
285#14519767—21no—
286#14519767—21no—
287#14519767—21no—
288#14519767—21no—
289#14519767—21no—
290#14519767—21no—
291#14519767—21no—
292#14519756—21no—
293#14519756—21no—
294#14519756—21no—
295#14519756—21no—
296#14519756—21no—
297#14519756—21no—
298#14519756C2311yescharacteristic
299#14519756C2311yescharacteristic
300#14519754—21no—
301#14519754—21no—
302#14519754—21no—
303#14519754—21no—
304#14519754—21no—
305#14519754—21no—
306#14519754—21no—
307#14519754—21no—
308#14519754—21no—
309#14519754—21no—
310#14519754—21no—
311#14519754—21no—
312#14519754D411yescharacteristic
313#14519754D411yescharacteristic
314#14519754D411yescharacteristic
315#14519754D411yescharacteristic
316Q8×Dic61C2311yescharacteristic
317Q8×Dic61C2311yescharacteristic
318Q8×Dic61C2311yescharacteristic
319Q8×Dic61C2311yescharacteristic
320Q8×Dic61C2311yescharacteristic
321Q8×Dic61C2311yescharacteristic
322Q8×Dic61C2311yescharacteristic
323Q8×Dic61C2311yescharacteristic
324C4×Dic122—21no—
325C4×Dic122—21no—
326C4×Dic122—21no—
327C4×Dic122—21no—
328C4×Dic122—21no—
329C4×Dic122—21no—
330C4×Dic122—21no—
331C4×Dic122—21no—
332C4×Dic122C2311yescharacteristic
333C4×Dic122C2311yescharacteristic
334C4×Dic122C2311yescharacteristic
335C4×Dic122C2311yescharacteristic
336C4×Dic122C2311yescharacteristic
337C4×Dic122C2311yescharacteristic
338#14519742—21no—
339#14519742—21no—
340#14519742—21no—
341#14519742—21no—
342#14519742—21no—
343#14519742—21no—
344#14519742C2311yescharacteristic
345#14519742C2311yescharacteristic
346#14519742C2311yescharacteristic
347#14519742C2311yescharacteristic
348D4×Dic61—21no—
349D4×Dic61—21no—
350D4×Dic61—21no—
351D4×Dic61—21no—
352D4×Dic61C2311yescharacteristic
353D4×Dic61C2311yescharacteristic
354D4×Dic61C2311yescharacteristic
355D4×Dic61C2311yescharacteristic
356#14519736—21no—
357#14519736—21no—
358#14519736C2311yescharacteristic
359#14519736C2311yescharacteristic
360#14519733—21no—
361#14519733—21no—
362C2×C4⋊Dic61—21no—
363C2×C4⋊Dic61C2311yescharacteristic
364C2×#11758196—21no—
365C2×#11758196—21no—
366C2×#11758196—21no—
367C2×C4×Dic61—21no—
368C2×C4×Dic61C2311yescharacteristic
369#14519711C2311yescharacteristic
370#14519711C2311yescharacteristic
371#14519711C2311yescharacteristic
372#14519711C2311yescharacteristic
373#14519710C2311yescharacteristic
374#14519710C2311yescharacteristic
375#14519710C2311yescharacteristic
376#14519710C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519709C2311yescharacteristic
380#14519709C2311yescharacteristic
381#14519709C2311yescharacteristic
382#14519709C2311yescharacteristic
383#14519708C2311yescharacteristic
384#14519708C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389C4⋊#92418C2311yescharacteristic
390C4⋊#92418C2311yescharacteristic
391#14519706C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423C22⋊#92418C2311yescharacteristic
424C22⋊#92418C2311yescharacteristic
425#14519688C2311yescharacteristic
426#14519687C2311yescharacteristic
427#14519687C2311yescharacteristic
428C4×#92418C2311yescharacteristic
429C8×Dic61C2311yescharacteristic
430C8×Dic61C2311yescharacteristic
431C8×Dic61C2311yescharacteristic
432C8×Dic61C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×#41×C61C2311yescharacteristic
436C2×Q16×C61C2311yescharacteristic
437C2×Q16×C61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C2×SD16×C61C2311yescharacteristic
440C4⋊Q8×C61C2311yescharacteristic
441#126×C61—21no—
442#126×C61—21no—
443#125×C61—21no—
444#125×C61—21no—
445#125×C61C2311yescharacteristic
446C22⋊Q8×C61C2311yescharacteristic
447C22⋊Q8×C61C2311yescharacteristic
448C4×Q8×C61C2311yescharacteristic
449C4×Q8×C61C2311yescharacteristic
450C4×Q8×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×D4×C61—21no—
453C4×D4×C61—21no—
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456#117×C61—21no—
457#117×C61C2311yescharacteristic
458C2×C4⋊C4×C61—21no—
459C2×C4⋊C4×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474C22⋊C8×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478#41×C61—22no—
479#41×C61—22no—
480C2×Q8×C61C2411yescharacteristic
481C2×Q8×C61C2411yescharacteristic
482C2×Q8×C61C2411yescharacteristic
483C2×D4×C61—21no—
484C2×D4×C61C2411yescharacteristic
485C22×C4×C61—21no—
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61C2411yescharacteristic
490C22×Dic61—21no—
491C22×Dic61—21no—
492C22×Dic61—21no—
493C22×Dic61—21no—
494C22×Dic61—21no—
495C22×Dic61C2×D411yescharacteristic
496C22×Dic61C2×D411yescharacteristic
497C2×Dic122—21no—
498C2×Dic122—21no—
499C2×Dic122—21no—
500C2×Dic122—21no—
501C2×Dic122—21no—
502C2×Dic122—21no—
503C2×Dic122—21no—
504C2×Dic122—21no—
505C2×Dic122—21no—
506C2×Dic122—21no—
507C2×Dic122—82no—
508C2×Dic122—82no—
509C2×Dic122—82no—
510C2×Dic122C2×D411yescharacteristic
511C2×Dic122C2×D411yescharacteristic
512C2×Dic122C2×D411yescharacteristic
513C2×Dic122C2×D411yescharacteristic
514C2×Dic122C2411yescharacteristic
515C2×Dic122C2411yescharacteristic
516Q16×C61—22no—
517Q16×C61—22no—
518SD16×C61—22no—
519SD16×C61—22no—
520C2×C8×C61C2411yescharacteristic
521C2×C8×C61C2411yescharacteristic
522C2×C8×C61C2411yescharacteristic
523C2×C8×C61C2411yescharacteristic
524C4⋊C4×C61—21no—
525C4⋊C4×C61—21no—
526C4⋊C4×C61—21no—
527C4⋊C4×C61—21no—
528C4⋊C4×C61—21no—
529C4⋊C4×C61—21no—
530C4⋊C4×C61—21no—
531C4⋊C4×C61—21no—
532C4⋊C4×C61—21no—
533C4⋊C4×C61—21no—
534C4⋊C4×C61—21no—
535C4⋊C4×C61C2×D411yescharacteristic
536C4⋊C4×C61C2×D411yescharacteristic
537C4⋊C4×C61C2411yescharacteristic
538C4⋊C4×C61C2411yescharacteristic
539C4⋊C4×C61C2411yescharacteristic
540C4⋊C4×C61C2411yescharacteristic
541C22⋊C4×C61—21no—
542C22⋊C4×C61—21no—
543C22⋊C4×C61—21no—
544C22⋊C4×C61—21no—
545C22⋊C4×C61C2×D411yescharacteristic
546C22⋊C4×C61C2×D411yescharacteristic
547C42×C61—21no—
548C42×C61—21no—
549C42×C61—21no—
550C42×C61—21no—
551C42×C61C2411yescharacteristic
552C42×C61C2411yescharacteristic
553C22⋊Dic61—21no—
554C22⋊Dic61—21no—
555C22⋊Dic61—21no—
556C22⋊Dic61—21no—
557C22⋊Dic61—21no—
558C22⋊Dic61—21no—
559C22⋊Dic61—21no—
560C22⋊Dic61C2×D411yescharacteristic
561C22⋊Dic61C2×D411yescharacteristic
562#11758202—22no—
563#11758202—22no—
564#11758200—22no—
565#11758200—22no—
566C4⋊Dic61—21no—
567C4⋊Dic61—21no—
568C4⋊Dic61—21no—
569C4⋊Dic61—21no—
570C4⋊Dic61—21no—
571C4⋊Dic61—21no—
572C4⋊Dic61—21no—
573C4⋊Dic61—21no—
574C4⋊Dic61—21no—
575C4⋊Dic61—21no—
576C4⋊Dic61—21no—
577C4⋊Dic61—21no—
578C4⋊Dic61—21no—
579C4⋊Dic61—21no—
580C4⋊Dic61—21no—
581C4⋊Dic61—21no—
582C4⋊Dic61—21no—
583C4⋊Dic61C2×D411yescharacteristic
584C4⋊Dic61C2×D411yescharacteristic
585C4⋊Dic61C2×D411yescharacteristic
586C4⋊Dic61C2×D411yescharacteristic
587C4⋊Dic61C2×D411yescharacteristic
588C4⋊Dic61C2×D411yescharacteristic
589C4⋊Dic61C2411yescharacteristic
590C4⋊Dic61C2411yescharacteristic
591C4⋊Dic61C2411yescharacteristic
592C4⋊Dic61C2411yescharacteristic
593C4⋊Dic61C2411yescharacteristic
594C4⋊Dic61C2411yescharacteristic
595#11758196—21no—
596#11758196—21no—
597#11758196—21no—
598#11758196—21no—
599#11758196—21no—
600#11758196—21no—
601#11758196—21no—
602#11758196—21no—
603#11758196—21no—
604#11758196—21no—
605#11758196—21no—
606#11758196—21no—
607#11758196—21no—
608#11758196—21no—
609#11758196—21no—
610#11758196—21no—
611#11758196—21no—
612#11758196—21no—
613#11758196—21no—
614#11758196—21no—
615#11758196—21no—
616#11758196—21no—
617#11758196—21no—
618#11758196—21no—
619#11758196—21no—
620#11758196—21no—
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196C2×D411yescharacteristic
630#11758196C2×D411yescharacteristic
631#11758196C2×D411yescharacteristic
632#11758196C2×D411yescharacteristic
633#11758196C2×D411yescharacteristic
634#11758196C2×D411yescharacteristic
635#11758196C2×D411yescharacteristic
636#11758196C2×D411yescharacteristic
637C4×Dic61—21no—
638C4×Dic61—21no—
639C4×Dic61—21no—
640C4×Dic61—21no—
641C4×Dic61—21no—
642C4×Dic61—21no—
643C4×Dic61—21no—
644C4×Dic61—21no—
645C4×Dic61—21no—
646C4×Dic61—21no—
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61C2×D411yescharacteristic
653C4×Dic61C2×D411yescharacteristic
654C4×Dic61C2411yescharacteristic
655C4×Dic61C2411yescharacteristic
656C4×Dic61C2411yescharacteristic
657C4×Dic61C2411yescharacteristic
658C2×#92418C2411yescharacteristic
659C2×#92418C2411yescharacteristic
660C2×#92418C2411yescharacteristic
661C2×#92418C2411yescharacteristic
662C23×C61—21no—
663C23×C61C22×D411yescharacteristic
664Q8×C61—21no—
665Q8×C61—21no—
666Q8×C61—21no—
667Q8×C61—21no—
668Q8×C61—21no—
669Q8×C612−1+412yes—
670D4×C61—24no—
671D4×C61—21no—
672D4×C612−1+412yes—
673C2×C4×C61—24no—
674C2×C4×C61—21no—
675C2×C4×C61—21no—
676C2×C4×C61—21no—
677C2×C4×C61—21no—
678C2×C4×C61—21no—
679C2×C4×C61—21no—
680C2×C4×C61—21no—
681C2×C4×C61—21no—
682C2×C4×C61—21no—
683C2×C4×C61—81no—
684C2×C4×C61—81no—
685C2×C4×C61—81no—
686C2×C4×C61C22×D411yescharacteristic
687C2×C4×C61C22×D411yescharacteristic
688C2×C4×C61C22×D411yescharacteristic
689C2×C4×C61C22×D411yescharacteristic
690C2×C4×C61C22×D411yescharacteristic
691C2×C4×C61C2511yescharacteristic
692C2×Dic61—22no—
693C2×Dic61—22no—
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—42no—
703C2×Dic61—42no—
704C2×Dic61—81no—
705C2×Dic61—81no—
706C2×Dic61—81no—
707C2×Dic61C22×D411yescharacteristic
708C2×Dic61C22×D411yescharacteristic
709C2×Dic61C22×D411yescharacteristic
710C2×Dic61C22×D411yescharacteristic
711C2×Dic61C22×D411yescharacteristic
712C2×Dic61C22×D411yescharacteristic
713C2×Dic61C22×D411yescharacteristic
714C2×Dic61C22×D411yescharacteristic
715Dic122—22no—
716Dic122—22no—
717Dic122—22no—
718Dic122—22no—
719Dic122—21no—
720Dic122—21no—
721Dic122—21no—
722Dic122—21no—
723Dic122—42no—
724Dic122—42no—
725Dic122—42no—
726Dic122—42no—
727Dic122—81no—
728Dic122—81no—
729Dic122—81no—
730Dic122—81no—
731Dic122—81no—
732Dic122—81no—
733C8×C61—21no—
734C8×C61—21no—
735C8×C61—21no—
736C8×C61—21no—
737#92418—21no—
738#92418—21no—
739#92418—21no—
740#92418—21no—
741#61869—611nomaximal, Sylow
742C22×C61—21no—
743C22×C61—22no—
744C22×C61—21no—
745C22×C61—21no—
746C22×C61—41no—
747C22×C61—41no—
748C22×C61C23×D411yescharacteristic
749C4×C61—21no—
750C4×C61—22no—
751C4×C61—21no—
752C4×C61—21no—
753C4×C61—21no—
754C4×C61—21no—
755C4×C61—41no—
756C4×C61—41no—
757C4×C61—41no—
758C4×C61—41no—
759C4×C61—41no—
760C4×C61—41no—
761C4×C61C2×2−1+411yescharacteristic
762C4×C61C2×2−1+411yescharacteristic
763Dic61—21no—
764Dic61—21no—
765Dic61—21no—
766Dic61—21no—
767Dic61—21no—
768Dic61—21no—
769Dic61—41no—
770Dic61—41no—
771Dic61—41no—
772Dic61—41no—
773Dic61—41no—
774Dic61—41no—
775Dic61—41no—
776Dic61—41no—
777Dic61#57712yes—
778Dic61#57812yes—
779#3556—611no—
780#3503—611no—
781#3387—611no—
782#3387—611no—
783#3386—611no—
784#3386—611no—
785#3383—611no—
786#3383—611no—
787#3381—611no—
788#3381—611no—
789#3374—611no—
790#3374—611no—
791#3372—611no—
792#3372—611no—
793#3363—611no—
794#3363—611no—
795#3359—611no—
796#3359—611no—
797#3242—611no—
798#3242—611no—
799#3242—611no—
800#3242—611no—
801#3230—611no—
802#3229—611no—
803#3120—611no—
804#3120—611no—
805#3120—611no—
806#3120D6111yescharacteristic
807#3107—611no—
808#3107—611no—
809#2986—611no—
810C2×C61—41no—
811C2×C61—42no—
812C2×C61#348611yescharacteristic
813C2×C61C2×#57711yescharacteristic
814C2×C61C2×#57811yescharacteristic
815#564—1221no—
816#564—1221no—
817Q82—611no—
818Q82—611no—
819#557—611no—
820#557—611no—
821#557—611no—
822#557—611no—
823#557—611no—
824#557—611no—
825#557—611no—
826#557—611no—
827#557—611no—
828#557—611no—
829#557—1221no—
830#557—1221no—
831#554—611no—
832#554—611no—
833#554—1221no—
834#554—1221no—
835D4×Q8—611no—
836D4×Q8—611no—
837D4×Q8—1221no—
838D4×Q8—1221no—
839#544—611no—
840#544—611no—
841#544—1221no—
842#544—1221no—
843#541—611no—
844#541—611no—
845#541—611no—
846#541—1221no—
847#541—1221no—
848#541—1221no—
849#541—1221no—
850#541C2×D6111yescharacteristic
851#533—611no—
852#533—611no—
853#533—611no—
854#533—1221no—
855C2×C4⋊Q8—611no—
856C2×C4⋊Q8—1221no—
857#520—611no—
858#520C2×D6111yescharacteristic
859C4×#41—611no—
860#501—611no—
861#501—611no—
862#501—611no—
863#501—611no—
864#500—611no—
865#500—611no—
866#499—611no—
867#499—611no—
868#499—611no—
869#499—611no—
870#498—611no—
871#498—611no—
872#491—611no—
873#491—611no—
874#491—611no—
875#491—611no—
876#487—611no—
877#487—611no—
878#487—611no—
879#487—611no—
880#487—611no—
881#487—611no—
882#487—611no—
883#487—611no—
884#485—611no—
885#485—611no—
886#485—611no—
887#485—611no—
888#484—611no—
889#484—611no—
890#484—611no—
891#484C2×D6111yescharacteristic
892#483—611no—
893#483—611no—
894#483—611no—
895#483C2×D6111yescharacteristic
896#479—611no—
897#479—611no—
898#479—611no—
899#479—611no—
900#479—611no—
901#479—611no—
902#479—611no—
903#479—611no—
904#479—611no—
905#479—611no—
906#479—611no—
907#479C2×D6111yescharacteristic
908#478—611no—
909#478—611no—
910#478—611no—
911#478C2×D6111yescharacteristic
912#477—611no—
913#477—611no—
914#477—611no—
915#477—611no—
916#477—611no—
917#477—611no—
918#477—611no—
919#477—611no—
920#475—611no—
921#475—611no—
922#475—611no—
923#475—611no—
924#475—611no—
925#475—611no—
926#475—611no—
927#475—611no—
928#475—611no—
929#475—611no—
930#474—611no—
931#474—611no—
932#462—611no—
933#462—611no—
934#462—611no—
935#462—611no—
936#462—611no—
937#462C2×D6111yescharacteristic
938#461—611no—
939#461—611no—
940#461—611no—
941#461—611no—
942#461—611no—
943#461C2×D6111yescharacteristic
944#452—611no—
945#452—611no—
946#452C2×D6111yescharacteristic
947#452C2×D6111yescharacteristic
948#446—611no—
949#446—611no—
950#446—611no—
951#446—611no—
952C8×Q8—611no—
953C8×Q8—611no—
954C8×Q8—611no—
955C8×Q8—611no—
956#441—611no—
957#441—611no—
958#441—611no—
959#441C2×D6111yescharacteristic
960#440—611no—
961#440—611no—
962#440—611no—
963#440C2×D6111yescharacteristic
964C4×Q16—611no—
965C4×Q16—611no—
966C4×Q16—611no—
967C4×Q16—611no—
968C4×Q16—611no—
969C4×Q16—611no—
970C4×Q16—611no—
971C4×Q16C2×D6111yescharacteristic
972C4×SD16—611no—
973C4×SD16—611no—
974C4×SD16—611no—
975C4×SD16—611no—
976C4×SD16—611no—
977C4×SD16—611no—
978C4×SD16—611no—
979C4×SD16C2×D6111yescharacteristic
980#433—611no—
981#433—611no—
982#433—611no—
983#433C2×D6111yescharacteristic
984#431—611no—
985#431—611no—
986C61#6186911yescharacteristic, complemented, Sylow
987C2×#41C22×D6111yescharacteristic
988C22×Q8—1221no—
989C22×Q8—1221no—
990C22×Q8—1221no—
991C2×Q16—611no—
992C2×Q16—611no—
993C2×Q16C22×D6111yescharacteristic
994C2×Q16C22×D6111yescharacteristic
995C2×SD16—611no—
996C2×SD16—611no—
997C2×SD16C22×D6111yescharacteristic
998C2×SD16C22×D6111yescharacteristic
999C4⋊Q8—611no—
1000C4⋊Q8—611no—
1001C4⋊Q8—611no—
1002C4⋊Q8—611no—
1003C4⋊Q8—611no—
1004C4⋊Q8—611no—
1005C4⋊Q8—611no—
1006C4⋊Q8—611no—
1007C4⋊Q8—611no—
1008C4⋊Q8—611no—
1009C4⋊Q8—611no—
1010C4⋊Q8—611no—
1011C4⋊Q8—611no—
1012C4⋊Q8—611no—
1013C4⋊Q8—611no—
1014C4⋊Q8—611no—
1015C4⋊Q8—611no—
1016C4⋊Q8—1221no—
1017C4⋊Q8—1221no—
1018C4⋊Q8—1221no—
1019C4⋊Q8—1221no—
1020C4⋊Q8—1221no—
1021C4⋊Q8—1221no—
1022C4⋊Q8—1221no—
1023C4⋊Q8—1221no—
1024C4⋊Q8—1221no—
1025C4⋊Q8—1221no—
1026C4⋊Q8—1221no—
1027C4⋊Q8—1221no—
1028C4⋊Q8—1221no—
1029C4⋊Q8—1221no—
1030C4⋊Q8—1221no—
1031C4⋊Q8—1221no—
1032C4⋊Q8C22×D6111yescharacteristic
1033#126—21no—
1034#126—21no—
1035#126—1221no—
1036#126—1221no—
1037#126—1221no—
1038#126—1221no—
1039#126—1221no—
1040#126—1221no—
1041#125—21no—
1042#125—21no—
1043#125—611no—
1044#125—611no—
1045#125—611no—
1046#125—611no—
1047#125—611no—
1048#125—611no—
1049#125—611no—
1050#125—611no—
1051#125—611no—
1052#125—1221no—
1053#125—1221no—
1054#125—1221no—
1055#125—1221no—
1056#125—1221no—
1057#125—1221no—
1058#125—1221no—
1059#125—1221no—
1060#125—1221no—
1061#125—1221no—
1062#125—1221no—
1063#125—1221no—
1064#125—1221no—
1065#125—1221no—
1066#125—1221no—
1067#125—1221no—
1068#125—1221no—
1069#125—1221no—
1070#125—1221no—
1071#125—1221no—
1072#125—1221no—
1073#125—1221no—
1074#125—1221no—
1075#125—1221no—
1076#125—1221no—
1077#125—1221no—
1078#125—1221no—
1079#125—1221no—
1080#125—1221no—
1081#125—1221no—
1082#125—1221no—
1083#125—1221no—
1084#125—1221no—
1085#125—1221no—
1086#125C22×D6111yescharacteristic
1087C22⋊Q8—611no—
1088C22⋊Q8—611no—
1089C22⋊Q8—611no—
1090C22⋊Q8—611no—
1091C22⋊Q8—611no—
1092C22⋊Q8—611no—
1093C22⋊Q8—1221no—
1094C22⋊Q8—1221no—
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⋊Q8C22×D6111yescharacteristic
1112C22⋊Q8C22×D6111yescharacteristic
1113C4×Q8—611no—
1114C4×Q8—611no—
1115C4×Q8—611no—
1116C4×Q8—611no—
1117C4×Q8—611no—
1118C4×Q8—611no—
1119C4×Q8—611no—
1120C4×Q8—611no—
1121C4×Q8—611no—
1122C4×Q8—611no—
1123C4×Q8—611no—
1124C4×Q8—611no—
1125C4×Q8—611no—
1126C4×Q8—611no—
1127C4×Q8—611no—
1128C4×Q8—611no—
1129C4×Q8—611no—
1130C4×Q8—611no—
1131C4×Q8—1221no—
1132C4×Q8—1221no—
1133C4×Q8—1221no—
1134C4×Q8—1221no—
1135C4×Q8—1221no—
1136C4×Q8—1221no—
1137C4×Q8—1221no—
1138C4×Q8—1221no—
1139C4×Q8—1221no—
1140C4×Q8—1221no—
1141C4×Q8—1221no—
1142C4×Q8—1221no—
1143C4×Q8—1221no—
1144C4×Q8—1221no—
1145C4×Q8C22×D6111yescharacteristic
1146C4×Q8C22×D6111yescharacteristic
1147C4×Q8C22×D6111yescharacteristic
1148C4×Q8C22×D6111yescharacteristic
1149C4×D4—21no—
1150C4×D4—21no—
1151C4×D4—611no—
1152C4×D4—611no—
1153C4×D4—611no—
1154C4×D4—611no—
1155C4×D4—1221no—
1156C4×D4—1221no—
1157C4×D4—1221no—
1158C4×D4—1221no—
1159C4×D4C22×D6111yescharacteristic
1160C4×D4C22×D6111yescharacteristic
1161#117—21no—
1162#117—611no—
1163#117—611no—
1164#117—1221no—
1165#117—1221no—
1166#117—1221no—
1167#117—1221no—
1168#117C22×D6111yescharacteristic
1169C2×C4⋊C4—21no—
1170C2×C4⋊C4—611no—
1171C2×C4⋊C4—1221no—
1172C2×C4⋊C4—1221no—
1173C2×C4⋊C4—1221no—
1174C2×C4⋊C4—1221no—
1175C2×C4⋊C4C22×D6111yescharacteristic
1176C2×C42—611no—
1177C2×C42—1221no—
1178#107—611no—
1179#107—611no—
1180#107—611no—
1181#107—611no—
1182#107—611no—
1183#107—611no—
1184#107—611no—
1185#107—611no—
1186#107—611no—
1187#107—611no—
1188#107C22×D6111yescharacteristic
1189#107C22×D6111yescharacteristic
1190#106—611no—
1191#106—611no—
1192#106—611no—
1193#106—611no—
1194#106—611no—
1195#106—611no—
1196#106—611no—
1197#106—611no—
1198#106—611no—
1199#106—611no—
1200#106C22×D6111yescharacteristic
1201#106C22×D6111yescharacteristic
1202C4⋊C8—611no—
1203C4⋊C8—611no—
1204C4⋊C8—611no—
1205C4⋊C8—611no—
1206C4⋊C8—611no—
1207C4⋊C8—611no—
1208C4⋊C8—611no—
1209C4⋊C8—611no—
1210C4⋊C8—611no—
1211C4⋊C8—611no—
1212C4⋊C8C22×D6111yescharacteristic
1213C4⋊C8C22×D6111yescharacteristic
1214#103—611no—
1215#103—611no—
1216#103—611no—
1217#103—611no—
1218#103—611no—
1219#103—611no—
1220#103—611no—
1221#103—611no—
1222#103—611no—
1223#103—611no—
1224#103—611no—
1225#103—611no—
1226#103—611no—
1227#103—611no—
1228#103—611no—
1229#103—611no—
1230#103—611no—
1231#103—611no—
1232#103—611no—
1233#103—611no—
1234#103—611no—
1235#103—611no—
1236#103C22×D6111yescharacteristic
1237#103C22×D6111yescharacteristic
1238#103C22×D6111yescharacteristic
1239#103C22×D6111yescharacteristic
1240#103C22×D6111yescharacteristic
1241#103C22×D6111yescharacteristic
1242#102—611no—
1243#102—611no—
1244#102C22×D6111yescharacteristic
1245#102C22×D6111yescharacteristic
1246C22⋊C8—611no—
1247C22⋊C8—611no—
1248C22⋊C8C22×D6111yescharacteristic
1249C22⋊C8C22×D6111yescharacteristic
1250#97—611no—
1251#97—611no—
1252#97—611no—
1253#97C22×D6111yescharacteristic
1254C4×C8—611no—
1255C4×C8—611no—
1256C4×C8—611no—
1257C4×C8—611no—
1258C4×C8—611no—
1259C4×C8—611no—
1260C4×C8—611no—
1261C4×C8C22×D6111yescharacteristic
1262#41—22no—
1263#41—22no—
1264C2×Q8—611no—
1265C2×Q8—611no—
1266C2×Q8—611no—
1267C2×Q8—611no—
1268C2×Q8—611no—
1269C2×Q8—611no—
1270C2×Q8—1221no—
1271C2×Q8—1221no—
1272C2×Q8—1221no—
1273C2×Q8—1221no—
1274C2×Q8—1221no—
1275C2×Q8—1221no—
1276C2×Q8—1221no—
1277C2×Q8—1221no—
1278C2×Q8—1221no—
1279C2×Q8—1221no—
1280C2×Q8—4882no—
1281C2×Q8—4882no—
1282C2×Q8—4882no—
1283C2×Q8C23×D6111yescharacteristic
1284C2×Q8C23×D6111yescharacteristic
1285C2×Q8C23×D6111yescharacteristic
1286C2×D4—21no—
1287C2×D4C23×D6111yescharacteristic
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—611no—
1293C22×C4—611no—
1294C22×C4—1221no—
1295C22×C4—1221no—
1296C22×C4—1221no—
1297C22×C4—1221no—
1298C22×C4—1221no—
1299C22×C4C23×D6111yescharacteristic
1300Q16—22no—
1301Q16—22no—
1302Q16—1222no—
1303Q16—1222no—
1304SD16—22no—
1305SD16—22no—
1306SD16—1222no—
1307SD16—1222no—
1308C2×C8—611no—
1309C2×C8—611no—
1310C2×C8—611no—
1311C2×C8—611no—
1312C2×C8C23×D6111yescharacteristic
1313C2×C8C23×D6111yescharacteristic
1314C2×C8C23×D6111yescharacteristic
1315C2×C8C23×D6111yescharacteristic
1316C4⋊C4—21no—
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—21no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—21no—
1325C4⋊C4—21no—
1326C4⋊C4—21no—
1327C4⋊C4—611no—
1328C4⋊C4—611no—
1329C4⋊C4—611no—
1330C4⋊C4—611no—
1331C4⋊C4—611no—
1332C4⋊C4—611no—
1333C4⋊C4—611no—
1334C4⋊C4—611no—
1335C4⋊C4—611no—
1336C4⋊C4—611no—
1337C4⋊C4—611no—
1338C4⋊C4—611no—
1339C4⋊C4—611no—
1340C4⋊C4—611no—
1341C4⋊C4—611no—
1342C4⋊C4—611no—
1343C4⋊C4—611no—
1344C4⋊C4—611no—
1345C4⋊C4—611no—
1346C4⋊C4—611no—
1347C4⋊C4—1221no—
1348C4⋊C4—1221no—
1349C4⋊C4—1221no—
1350C4⋊C4—1221no—
1351C4⋊C4—1221no—
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⋊C4—1221no—
1397C4⋊C4—1221no—
1398C4⋊C4D4×D6111yescharacteristic
1399C4⋊C4D4×D6111yescharacteristic
1400C4⋊C4C23×D6111yescharacteristic
1401C4⋊C4C23×D6111yescharacteristic
1402C4⋊C4C23×D6111yescharacteristic
1403C4⋊C4C23×D6111yescharacteristic
1404C22⋊C4—21no—
1405C22⋊C4—21no—
1406C22⋊C4—21no—
1407C22⋊C4—21no—
1408C22⋊C4—611no—
1409C22⋊C4—611no—
1410C22⋊C4—1221no—
1411C22⋊C4—1221no—
1412C22⋊C4—1221no—
1413C22⋊C4—1221no—
1414C22⋊C4—1221no—
1415C22⋊C4—1221no—
1416C22⋊C4—1221no—
1417C22⋊C4D4×D6111yescharacteristic
1418C22⋊C4D4×D6111yescharacteristic
1419C42—21no—
1420C42—21no—
1421C42—21no—
1422C42—21no—
1423C42—611no—
1424C42—611no—
1425C42—611no—
1426C42—611no—
1427C42—611no—
1428C42—611no—
1429C42—1221no—
1430C42—1221no—
1431C42—1221no—
1432C42—1221no—
1433C42—1221no—
1434C42—1221no—
1435C42—1221no—
1436C42—1221no—
1437C42—1221no—
1438C42—1221no—
1439C42—1221no—
1440C42—1221no—
1441C42—1221no—
1442C42—1221no—
1443C42—1221no—
1444C42C23×D6111yescharacteristic
1445C42C23×D6111yescharacteristic
1446C23—21no—
1447C23C2×D4×D6111yescharacteristic
1448Q8—21no—
1449Q8—21no—
1450Q8—21no—
1451Q8—21no—
1452Q8—21no—
1453Q8—1222no—
1454Q8—1222no—
1455Q8—1222no—
1456Q8—1222no—
1457Q8—1221no—
1458Q8—1221no—
1459Q8—1221no—
1460Q8—1221no—
1461Q8—4881no—
1462Q8—4881no—
1463Q8—4881no—
1464Q8—4881no—
1465Q8—4881no—
1466Q8—4881no—
1467Q8—2442no—
1468Q8—2442no—
1469Q8—2442no—
1470Q8—2442no—
1471Q8#1451982412yes—
1472D4—24no—
1473D4—21no—
1474D4#1451982412yes—
1475C2×C4—24no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—81no—
1486C2×C4—81no—
1487C2×C4—81no—
1488C2×C4—611no—
1489C2×C4—611no—
1490C2×C4—611no—
1491C2×C4—611no—
1492C2×C4—611no—
1493C2×C4—611no—
1494C2×C4—611no—
1495C2×C4—611no—
1496C2×C4—1222no—
1497C2×C4—1222no—
1498C2×C4—1221no—
1499C2×C4—1221no—
1500C2×C4—1221no—
1501C2×C4—1221no—
1502C2×C4—1221no—
1503C2×C4—1221no—
1504C2×C4—1221no—
1505C2×C4—1221no—
1506C2×C4—4881no—
1507C2×C4—4881no—
1508C2×C4—4881no—
1509C2×C4—2442no—
1510C2×C4—2442no—
1511C2×C4C2×D4×D6111yescharacteristic
1512C2×C4C2×D4×D6111yescharacteristic
1513C2×C4C2×D4×D6111yescharacteristic
1514C2×C4C2×D4×D6111yescharacteristic
1515C2×C4C2×D4×D6111yescharacteristic
1516C2×C4C24×D6111yescharacteristic
1517C8—21no—
1518C8—21no—
1519C8—21no—
1520C8—21no—
1521C8—1221no—
1522C8—1221no—
1523C8—1221no—
1524C8—1221no—
1525C22—21no—
1526C22—22no—
1527C22—21no—
1528C22—21no—
1529C22—41no—
1530C22—41no—
1531C22C22×D4×D6111yescharacteristic
1532C4—21no—
1533C4—22no—
1534C4—21no—
1535C4—21no—
1536C4—21no—
1537C4—21no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—612no—
1545C4—612no—
1546C4—1221no—
1547C4—1221no—
1548C4—1221no—
1549C4—1221no—
1550C4—1221no—
1551C4—1221no—
1552C4—2441no—
1553C4—2441no—
1554C4—2441no—
1555C4—2441no—
1556C4—2441no—
1557C4—2441no—
1558C4—2441no—
1559C4—2441no—
1560C4C2×#1451982411yescharacteristic
1561C4C2×#1451982411yescharacteristic
1562C2—41no—
1563C2—42no—
1564C2#2145946611yescharacteristic
1565C2#577×D6111yescharacteristic
1566C2#578×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3120C2
socleC22×C61C23×D4
prime radicalC2×#41×C61C23
hypercenter#3120D61
hypocenterC61#61869
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3120

Complements

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

NH ≅ G/Ntype
1. #21460312C2semidirect
3. #21458754C2semidirect
4. #21458752C2semidirect
5. #21458741C2semidirect
6. #21458735C2semidirect
7. #21458710C2semidirect
8. #21458705C2semidirect
9. #21458695C2semidirect
10. #21458689C2semidirect
11. #21458623C2semidirect
12. #21458617C2semidirect
13. #21458601C2semidirect
14. #21458595C2semidirect
15. #21458495C2semidirect
16. #21458492C2semidirect
17. #21458459C2semidirect
18. #21458456C2semidirect
19. #21457091C2semidirect
20. #21457089C2semidirect
21. #21457083C2semidirect
22. #21457081C2semidirect
23. #21456968C2semidirect
24. #21456961C2semidirect
30. #21454918C2semidirect
986. C61#61869semidirect

Maximal subgroups

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

subgroupindex
#214603122
#214596322
#214587542
#214587522
#214587412
#214587352
#214587102
#214587052
#214586952
#214586892
#214586232
#214586172
#214586012
#214585952
#214584952
#214584922
#214584592
#214584562
#214570912
#214570892
#214570832
#214570812
#214569682
#214569612
#214560342
#214560332
#214560262
#214558832
#214549182
C61×#31202
#6186961