Finite Group Databasebeta

← #30576224

Subgroups — #30576224

Order 15616.

1702 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459699C211yesmaximal, characteristic, complemented
2#21459435C211yesmaximal, characteristic
3#21458787C211yesmaximal, characteristic, complemented
4#21458781C211yesmaximal, characteristic, complemented
5#21458660C211yesmaximal, characteristic, complemented
6#21458658C211yesmaximal, characteristic, complemented
7#21458351C211yesmaximal, characteristic, complemented
8#21458343C211yesmaximal, characteristic, complemented
9#21458254C211yesmaximal, characteristic, complemented
10#21458252C211yesmaximal, characteristic, complemented
11#21458182C211yesmaximal, characteristic, complemented
12#21458180C211yesmaximal, characteristic, complemented
13#21457885C211yesmaximal, characteristic, complemented
14#21457871C211yesmaximal, characteristic, complemented
15#21457863C211yesmaximal, characteristic, complemented
16#21457707C211yesmaximal, characteristic, complemented
17#21457699C211yesmaximal, characteristic, complemented
18#21457185C211yesmaximal, characteristic, complemented
19#21457160C211yesmaximal, characteristic, complemented
20#21457153C211yesmaximal, characteristic, complemented
21#21457036C211yesmaximal, characteristic, complemented
22#21457030C211yesmaximal, characteristic, complemented
23#21456995C211yesmaximal, characteristic, complemented
24#21455974C211yesmaximal, characteristic, complemented
25#21455947C211yesmaximal, characteristic, complemented
26#21455853C211yesmaximal, characteristic, complemented
27#21455621C211yesmaximal, characteristic, complemented
28#21455603C211yesmaximal, characteristic, complemented
29#477×D61C211yesmaximal, characteristic, complemented
30#21454939C211yesmaximal, characteristic, complemented
31C61×#3313C211yesmaximal, characteristic, complemented
32#16840491C2211yescharacteristic
33#16840490—21no—
34#16840488C2211yescharacteristic
35#16840487C2211yescharacteristic
36#16840482C2211yescharacteristic
37#16840481—21no—
38#16840481—21no—
39#16840481C2211yescharacteristic
40#16840452—21no—
41#16840452C2211yescharacteristic
42#16840451C2211yescharacteristic
43#16840451C2211yescharacteristic
44#16840448—21no—
45#16840448—21no—
46#16840446—21no—
47#16840446C2211yescharacteristic
48#16840446C2211yescharacteristic
49#16840446C2211yescharacteristic
50Q8×C22⋊D61C2211yescharacteristic
51#16840419C2211yescharacteristic
52#16840412—21no—
53#16840412C2211yescharacteristic
54#16840369—21no—
55#16840369—21no—
56#16840332—21no—
57#16840316C2211yescharacteristic
58#16840315C2211yescharacteristic
59#16840315C2211yescharacteristic
60#16840314—21no—
61#16840314C2211yescharacteristic
62#16840314C2211yescharacteristic
63#16840314C2211yescharacteristic
64C4⋊Q8×D61C2211yescharacteristic
65#16840293—21no—
66#16840293C2211yescharacteristic
67#16840291—21no—
68#16840291C2211yescharacteristic
69#16840238—21no—
70#41×Dic61C2211yescharacteristic
71C4×#11758224—21no—
72C4×#11758224C2211yescharacteristic
73C2×Q8×Dic61C2211yescharacteristic
74C4×Q8×D61C2211yescharacteristic
75#16840171C2211yescharacteristic
76#16840170C2211yescharacteristic
77#16840169C2211yescharacteristic
78#16840168C2211yescharacteristic
79#16840163C2211yescharacteristic
80#16840162C2211yescharacteristic
81#16840129C2211yescharacteristic
82#16840129C2211yescharacteristic
83#16840121C2211yescharacteristic
84#16840115C2211yescharacteristic
85#16840115C2211yescharacteristic
86#16840104C2211yescharacteristic
87#16840104C2211yescharacteristic
88#16840104C2211yescharacteristic
89#16840103C2211yescharacteristic
90#16840103C2211yescharacteristic
91#16840100C2211yescharacteristic
92#16840100C2211yescharacteristic
93#16840098C2211yescharacteristic
94#16840095C2211yescharacteristic
95#16840094C2211yescharacteristic
96#16840091C2211yescharacteristic
97#16840091C2211yescharacteristic
98#16840091C2211yescharacteristic
99#16840083C2211yescharacteristic
100#16840074C2211yescharacteristic
101#16840074C2211yescharacteristic
102#16840071C2211yescharacteristic
103#16840071C2211yescharacteristic
104#16840071C2211yescharacteristic
105#16840070C2211yescharacteristic
106#16840069C2211yescharacteristic
107#16840068C2211yescharacteristic
108#16840067C2211yescharacteristic
109#16840067C2211yescharacteristic
110#16840067C2211yescharacteristic
111#16840067C2211yescharacteristic
112#16840064C2211yescharacteristic
113#16840060C2211yescharacteristic
114#16840058C2211yescharacteristic
115#16840057C2211yescharacteristic
116#16840056C2211yescharacteristic
117#16840056C2211yescharacteristic
118#16840056C2211yescharacteristic
119#16840055C2211yescharacteristic
120#16840055C2211yescharacteristic
121#16840055C2211yescharacteristic
122#16840055C2211yescharacteristic
123#16840055C2211yescharacteristic
124#16840054C2211yescharacteristic
125#16840050C2211yescharacteristic
126#16840050C2211yescharacteristic
127#16840046C2211yescharacteristic
128#16840045C2211yescharacteristic
129#16840045C2211yescharacteristic
130#16840040C2211yescharacteristic
131#16840020C2211yescharacteristic
132#16840018C2211yescharacteristic
133#16840006C2211yescharacteristic
134#16840003C2211yescharacteristic
135#16840002C2211yescharacteristic
136#16840001C2211yescharacteristic
137#16840001C2211yescharacteristic
138#16840000C2211yescharacteristic
139#16839990C2211yescharacteristic
140#16839988C2211yescharacteristic
141#16839983C2211yescharacteristic
142#16839982C2211yescharacteristic
143#16839981C2211yescharacteristic
144#16839971C2211yescharacteristic
145#16839971C2211yescharacteristic
146#16839970C2211yescharacteristic
147#16839970C2211yescharacteristic
148#16839970C2211yescharacteristic
149#16839965C2211yescharacteristic
150#16839924C2211yescharacteristic
151#16839919C2211yescharacteristic
152#16839918C2211yescharacteristic
153#16839916C2211yescharacteristic
154#16839891C2211yescharacteristic
155#16839890C2211yescharacteristic
156#16839870C2211yescharacteristic
157#16839869C2211yescharacteristic
158#16839867C2211yescharacteristic
159#16839867C2211yescharacteristic
160#16839866C2211yescharacteristic
161#16839863C2211yescharacteristic
162#16839859C2211yescharacteristic
163Q16×Dic61C2211yescharacteristic
164Q16×Dic61C2211yescharacteristic
165#16839854C2211yescharacteristic
166#16839854C2211yescharacteristic
167#16839836C2211yescharacteristic
168#16839834C2211yescharacteristic
169#16839831C2211yescharacteristic
170C8×C22⋊D61C2211yescharacteristic
171#16839825C2211yescharacteristic
172#16839817C2211yescharacteristic
173#16839816C2211yescharacteristic
174#16839812C2211yescharacteristic
175#16839805C2211yescharacteristic
176#16839804C2211yescharacteristic
177#16839800C2211yescharacteristic
178#16839798C2211yescharacteristic
179#107×D61C2211yescharacteristic
180#107×D61C2211yescharacteristic
181#16839785C2211yescharacteristic
182C2×#14519706C2211yescharacteristic
183C4⋊C8×D61C2211yescharacteristic
184#16839771C2211yescharacteristic
185#16839758C2211yescharacteristic
186#103×D61C2211yescharacteristic
187#103×D61C2211yescharacteristic
188C61×#556C2211yescharacteristic
189C61×#548C2211yescharacteristic
190C61×#489C2211yescharacteristic
191C61×#485C2211yescharacteristic
192C61×#482C2211yescharacteristic
193C61×#477C2211yescharacteristic
194C61×#468C2211yescharacteristic
195C61×#467C2211yescharacteristic
196C61×#464C2211yescharacteristic
197C61×#452C2211yescharacteristic
198C61×#451C2211yescharacteristic
199C61×#441C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#419C2211yescharacteristic
202C61×#416C2211yescharacteristic
203C2×#11758224—21no—
204C2×#11758224D411yescharacteristic
205C2×Q8×D61—21no—
206C2×Q8×D61C2311yescharacteristic
207C2×Dic244C2311yescharacteristic
208C2×#11758202C2311yescharacteristic
209C2×#11758202C2311yescharacteristic
210C2×#11758202C2311yescharacteristic
211C2×#11758200C2311yescharacteristic
212C2×#11758194C2311yescharacteristic
213C22×#92418C2311yescharacteristic
214C2×C8×D61C2311yescharacteristic
215C2×C8×D61C2311yescharacteristic
216#14519777—21no—
217#14519777C2311yescharacteristic
218#14519776—21no—
219#14519776—21no—
220#14519776C2311yescharacteristic
221#14519776C2311yescharacteristic
222#14519776C2311yescharacteristic
223#14519776C2311yescharacteristic
224#14519775—21no—
225#14519775—21no—
226#14519775—21no—
227#14519775C2311yescharacteristic
228#14519775C2311yescharacteristic
229#14519770—21no—
230#14519770—21no—
231#14519770—21no—
232#14519770—21no—
233#14519770—21no—
234#14519770—21no—
235#14519770—21no—
236#14519770—21no—
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519769—21no—
242#14519769—21no—
243#14519769—21no—
244#14519769C2311yescharacteristic
245#14519768—21no—
246#14519768—21no—
247#14519768—21no—
248#14519768C2311yescharacteristic
249#14519768C2311yescharacteristic
250#14519768C2311yescharacteristic
251#14519768C2311yescharacteristic
252#14519768C2311yescharacteristic
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519767—21no—
261#14519767—21no—
262#14519767—21no—
263#14519764—21no—
264#14519764—21no—
265#14519764C2311yescharacteristic
266#14519759—21no—
267#14519759—21no—
268#14519759—21no—
269#14519759—21no—
270#14519759—21no—
271#14519759—21no—
272#14519759—21no—
273#14519758—21no—
274#14519758—21no—
275#14519758—21no—
276#14519757C2311yescharacteristic
277#14519756—21no—
278#14519756—21no—
279#14519756C2311yescharacteristic
280#14519756C2311yescharacteristic
281#14519756C2311yescharacteristic
282#14519756C2311yescharacteristic
283#14519755—21no—
284#14519754—21no—
285#14519754—21no—
286#14519754—21no—
287#14519754—21no—
288#14519754—21no—
289#14519754—21no—
290#14519754—21no—
291#14519754—21no—
292#14519754—21no—
293#14519753—21no—
294#14519753C2311yescharacteristic
295#14519753C2311yescharacteristic
296#14519748—21no—
297#14519748C2311yescharacteristic
298Q8×Dic61—21no—
299Q8×Dic61—21no—
300Q8×Dic61—21no—
301Q8×Dic61C2311yescharacteristic
302Q8×Dic61C2311yescharacteristic
303Q8×Dic61C2311yescharacteristic
304Q8×Dic61C2311yescharacteristic
305Q8×Dic61C2311yescharacteristic
306Q8×Dic61C2311yescharacteristic
307Q8×Dic61C2311yescharacteristic
308C4×Dic122—21no—
309C4×Dic122—21no—
310C4×Dic122—21no—
311C4×Dic122—21no—
312C4×Dic122—21no—
313C4×Dic122—21no—
314C4×Dic122—21no—
315C4×Dic122—21no—
316C4×Dic122C2311yescharacteristic
317C4×Dic122C2311yescharacteristic
318C4×Dic122C2311yescharacteristic
319#14519742—21no—
320#14519742—21no—
321#14519742—21no—
322#14519742—21no—
323#14519742—21no—
324#14519742D411yescharacteristic
325#14519742C2311yescharacteristic
326#14519742C2311yescharacteristic
327#14519742C2311yescharacteristic
328D4×Dic61—21no—
329D4×Dic61—21no—
330D4×Dic61—21no—
331D4×Dic61D411yescharacteristic
332D4×Dic61C2311yescharacteristic
333D4×Dic61C2311yescharacteristic
334C4×C22⋊D61—21no—
335C4×C22⋊D61—21no—
336C4×C22⋊D61C2311yescharacteristic
337C4×C22⋊D61C2311yescharacteristic
338#14519737—21no—
339#14519737D411yescharacteristic
340#14519737D411yescharacteristic
341#14519736—21no—
342#14519736C2311yescharacteristic
343#14519736C2311yescharacteristic
344#14519736C2311yescharacteristic
345#14519735—21no—
346#14519735—21no—
347#14519735—21no—
348#14519735D411yescharacteristic
349#14519734—21no—
350#14519734—21no—
351#14519734—21no—
352#14519733—21no—
353#14519733—21no—
354#14519733—21no—
355#14519733—21no—
356#14519733—21no—
357#14519733—21no—
358#14519733—21no—
359#14519733D411yescharacteristic
360#14519733D411yescharacteristic
361C2×C4⋊Dic61—21no—
362C2×C4⋊Dic61C2311yescharacteristic
363C4⋊C4×D61—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61C2311yescharacteristic
366C4⋊C4×D61C2311yescharacteristic
367C4⋊C4×D61C2311yescharacteristic
368C2×C4×Dic61—21no—
369C2×C4×Dic61—21no—
370C2×C4×Dic61C2311yescharacteristic
371C2×C4×Dic61C2311yescharacteristic
372C42×D61—21no—
373C42×D61C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519709C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519701C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×#41×C61C2311yescharacteristic
436C22×Q8×C61C2311yescharacteristic
437C2×Q16×C61C2311yescharacteristic
438C2×Q16×C61C2311yescharacteristic
439C2×SD16×C61C2311yescharacteristic
440C2×M16×C61C2311yescharacteristic
441C22×C8×C61C2311yescharacteristic
442C4⋊Q8×C61C2311yescharacteristic
443#126×C61—21no—
444#126×C61—21no—
445#124×C61—21no—
446#124×C61—21no—
447#124×C61C2311yescharacteristic
448C22⋊Q8×C61—21no—
449C22⋊Q8×C61C2311yescharacteristic
450C22⋊Q8×C61C2311yescharacteristic
451C22⋊Q8×C61C2311yescharacteristic
452#121×C61—21no—
453#121×C61C2311yescharacteristic
454C4×Q8×C61—21no—
455C4×Q8×C61C2311yescharacteristic
456C4×Q8×C61C2311yescharacteristic
457C4×D4×C61—21no—
458C4×D4×C61C2311yescharacteristic
459#117×C61C2311yescharacteristic
460#117×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#103×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
474#102×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478#41×C61—22no—
479#41×C61—41no—
480C2×Q8×C61—21no—
481C2×Q8×C61—21no—
482C2×Q8×C61—22no—
483C2×Q8×C61—41no—
484C2×Q8×C61C2411yescharacteristic
485C2×Q8×C61C2411yescharacteristic
486C2×Q8×C61C2411yescharacteristic
487C2×D4×C61—21no—
488C2×D4×C61—21no—
489C2×D4×C61C2×D411yescharacteristic
490C2×D4×C61C2411yescharacteristic
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C22×C4×C61C2411yescharacteristic
494C22×C4×C61C2411yescharacteristic
495C2×C22⋊D61—21no—
496C2×C22⋊D61C2×D411yescharacteristic
497C2×C22⋊D61C2×D411yescharacteristic
498C22×Dic61—21no—
499C22×Dic61—21no—
500C22×Dic61—21no—
501C22×Dic61C2×D411yescharacteristic
502C22×Dic61C2×D411yescharacteristic
503C22×Dic61C2×D411yescharacteristic
504C22×Dic61C2×D411yescharacteristic
505Q8×D61—22no—
506Q8×D61—41no—
507Q8×D61—44no—
508#11758224—42no—
509#11758224—44no—
510C2×C4×D61—21no—
511C2×C4×D61—21no—
512C2×C4×D61—21no—
513C2×C4×D61—21no—
514C2×C4×D61C2×D411yescharacteristic
515C2×C4×D61C2×D411yescharacteristic
516C2×C4×D61C2411yescharacteristic
517C2×Dic122—21no—
518C2×Dic122—21no—
519C2×Dic122—21no—
520C2×Dic122—21no—
521C2×Dic122—21no—
522C2×Dic122—21no—
523C2×Dic122C2×D411yescharacteristic
524C2×Dic122C2411yescharacteristic
525C2×Dic122C2411yescharacteristic
526Q16×C61—22no—
527Q16×C61—41no—
528SD16×C61—41no—
529M16×C61—41no—
530C2×C8×C61—41no—
531C2×C8×C61C2411yescharacteristic
532C2×C8×C61C2411yescharacteristic
533C2×C8×C61C2411yescharacteristic
534C2×C8×C61C2411yescharacteristic
535C4⋊C4×C61—21no—
536C4⋊C4×C61—21no—
537C4⋊C4×C61—21no—
538C4⋊C4×C61—21no—
539C4⋊C4×C61—21no—
540C4⋊C4×C61—21no—
541C4⋊C4×C61C2×D411yescharacteristic
542C4⋊C4×C61C2411yescharacteristic
543C4⋊C4×C61C2411yescharacteristic
544C4⋊C4×C61C2411yescharacteristic
545C4⋊C4×C61C2411yescharacteristic
546C22⋊C4×C61—21no—
547C22⋊C4×C61—21no—
548C22⋊C4×C61—21no—
549C22⋊C4×C61—21no—
550C22⋊C4×C61—21no—
551C22⋊C4×C61—21no—
552C22⋊C4×C61—21no—
553C22⋊C4×C61—21no—
554C22⋊C4×C61C2×D411yescharacteristic
555C22⋊C4×C61C2×D411yescharacteristic
556C42×C61—21no—
557C42×C61—21no—
558C42×C61—21no—
559C42×C61—21no—
560C42×C61C2411yescharacteristic
561C22⋊Dic61—21no—
562C22⋊Dic61—21no—
563C22⋊Dic61—21no—
564C22⋊Dic61—21no—
565C22⋊Dic61—21no—
566C22⋊Dic61—21no—
567C22⋊Dic61—21no—
568C22⋊Dic61—21no—
569C22⋊Dic61—21no—
570C22⋊Dic61—21no—
571C22⋊Dic61—21no—
572C22⋊Dic61—21no—
573C22⋊Dic61C2×D411yescharacteristic
574C22⋊Dic61C2×D411yescharacteristic
575#11758202—22no—
576#11758202—41no—
577#11758202—41no—
578#11758200—41no—
579#11758198—21no—
580#11758198—21no—
581#11758198—21no—
582#11758198C2×D411yescharacteristic
583#11758198C2×D411yescharacteristic
584C4⋊Dic61—21no—
585C4⋊Dic61—21no—
586C4⋊Dic61—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⋊Dic61C2×D411yescharacteristic
600C4⋊Dic61C2411yescharacteristic
601C4⋊Dic61C2411yescharacteristic
602C4⋊Dic61C2411yescharacteristic
603C4⋊Dic61C2411yescharacteristic
604C4⋊Dic61C2411yescharacteristic
605C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196C2×D411yescharacteristic
636#11758196C2×D411yescharacteristic
637#11758196C2×D411yescharacteristic
638#11758196C2×D411yescharacteristic
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×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61C2×D411yescharacteristic
655C4×Dic61C2×D411yescharacteristic
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2411yescharacteristic
661C4×Dic61C2411yescharacteristic
662C4×Dic61C2411yescharacteristic
663#11758194—41no—
664C2×#92418—41no—
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669Dic244—41no—
670C8×D61—41no—
671C8×D61—41no—
672C23×C61—21no—
673C23×C61C22×D411yescharacteristic
674C23×C61C22×D411yescharacteristic
675C22×D61C22×D411yescharacteristic
676Q8×C61—21no—
677Q8×C61—21no—
678Q8×C61—21no—
679Q8×C61—21no—
680Q8×C61—21no—
681Q8×C61—42no—
682Q8×C61—42no—
683Q8×C612−1+412yes—
684D4×C61—21no—
685D4×C61—21no—
686D4×C61—41no—
687D4×C61—42no—
688D4×C61—42no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—42no—
701C2×C4×C61—42no—
702C2×C4×C61C22×D411yescharacteristic
703C2×C4×C61C22×D411yescharacteristic
704C2×C4×C61C22×D411yescharacteristic
705C2×C4×C61C22×D411yescharacteristic
706C2×C4×C61C2511yescharacteristic
707C22⋊D61—22no—
708C22⋊D61—22no—
709C22⋊D61—42no—
710C2×Dic61—22no—
711C2×Dic61—22no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—41no—
721C2×Dic61—41no—
722C2×Dic61—42no—
723C2×Dic61—42no—
724C2×Dic61—42no—
725C2×Dic61C22×D411yescharacteristic
726C2×Dic61C22×D411yescharacteristic
727C2×Dic61C22×D411yescharacteristic
728C2×Dic61C22×D411yescharacteristic
729C2×Dic61C22×D411yescharacteristic
730C2×Dic61C22×D411yescharacteristic
731C2×Dic61C22×D411yescharacteristic
732C4×D61—22no—
733C4×D61—21no—
734C4×D61—21no—
735C4×D61—22no—
736C4×D61—42no—
737C4×D61—42no—
738C4×D61—42no—
739C4×D61—42no—
740Dic122—21no—
741Dic122—21no—
742Dic122—21no—
743Dic122—21no—
744Dic122—41no—
745Dic122—42no—
746Dic122—42no—
747Dic122—42no—
748Dic122—42no—
749Dic122—42no—
750Dic122—42no—
751C8×C61—21no—
752C8×C61—21no—
753C8×C61—21no—
754C8×C61—21no—
755#92418—21no—
756#92418—21no—
757#92418—21no—
758#92418—21no—
759#62130—611nomaximal, Sylow
760C22×C61—21no—
761C22×C61—21no—
762C22×C61—21no—
763C22×C61—21no—
764C22×C61—21no—
765C22×C61—21no—
766C22×C61—41no—
767C22×C61—41no—
768C22×C61—41no—
769C22×C61C23×D411yescharacteristic
770C2×D61—21no—
771C2×D61—21no—
772C2×D61#57512yes—
773C4×C61—22no—
774C4×C61—21no—
775C4×C61—21no—
776C4×C61—21no—
777C4×C61—21no—
778C4×C61—41no—
779C4×C61—41no—
780C4×C61—41no—
781C4×C61—41no—
782C4×C61—41no—
783C4×C61—41no—
784C4×C61C2×2−1+411yescharacteristic
785C4×C61#58511yescharacteristic
786Dic61—21no—
787Dic61—21no—
788Dic61—21no—
789Dic61—21no—
790Dic61—21no—
791Dic61—21no—
792Dic61—41no—
793Dic61—41no—
794Dic61—41no—
795Dic61—41no—
796Dic61—41no—
797Dic61—41no—
798Dic61—41no—
799Dic61—41no—
800Dic61#57812yes—
801#3509—611no—
802#3482—611no—
803#3390—611no—
804#3390—611no—
805#3377—611no—
806#3377—611no—
807#3349—611no—
808#3349—611no—
809#3343—611no—
810#3343—611no—
811#3336—611no—
812#3336—611no—
813#3313—611no—
814#3313D6111yescharacteristic, complemented
815#3312—611no—
816#3312—611no—
817#3300—611no—
818#3300—611no—
819#3252—611no—
820#3249—611no—
821#3248—611no—
822#3238—611no—
823#3237—611no—
824#3233—611no—
825#3116—611no—
826#3113—611no—
827#3104—611no—
828#3078—611no—
829#3076—611no—
830C2×#477—611no—
831#2990—611no—
832C2×C61—41no—
833C2×C61—41no—
834C2×C61—81no—
835C2×C61#348911yescharacteristic
836C2×C61C2×#57511yescharacteristic
837C2×C61C2×#57811yescharacteristic
838D61—22no—
839#557—611no—
840#557—611no—
841#557—611no—
842#557—1221no—
843#556—611no—
844#556—611no—
845#556—1221no—
846#556—1221no—
847#556C2×D6111yescharacteristic
848#552—611no—
849#552—611no—
850#552—611no—
851#552—611no—
852#552—611no—
853#552—611no—
854#552—1221no—
855#552—1221no—
856#552—1221no—
857#552—1221no—
858D4×Q8—611no—
859#548—611no—
860#548C2×D6111yescharacteristic
861#547—611no—
862#547—1221no—
863#541—1221no—
864#541—1221no—
865#536—1221no—
866#533—611no—
867#533—611no—
868#533—611no—
869#533—611no—
870#533—611no—
871#533—611no—
872#533—1221no—
873C2×C4⋊Q8—611no—
874#529—611no—
875#529—611no—
876#529—1221no—
877#529—1221no—
878#519—1221no—
879C4×#41—611no—
880C4×#41—611no—
881C4×#41—1221no—
882C2×C4×Q8—611no—
883C2×C4×Q8—611no—
884#501—611no—
885#501—611no—
886#501—611no—
887#501—611no—
888#499—611no—
889#499—611no—
890#491—611no—
891#491—611no—
892#489—611no—
893#489C2×D6111yescharacteristic
894#488—611no—
895#488—611no—
896#485—611no—
897#485—611no—
898#485—611no—
899#485—611no—
900#485—611no—
901#485—611no—
902#485—611no—
903#485C2×D6111yescharacteristic
904#484—611no—
905#484—611no—
906#483—611no—
907#483—611no—
908#483—611no—
909#483—611no—
910#482—611no—
911#482C2×D6111yescharacteristic
912#480—611no—
913#480—611no—
914#479—611no—
915#479—611no—
916#479—611no—
917#479—611no—
918#479—611no—
919#479—611no—
920#479—611no—
921#479—611no—
922#479—611no—
923#479—611no—
924#478—611no—
925#478—611no—
926#477—611no—
927#477—611no—
928#477—611no—
929#477—611no—
930#477—611no—
931#477—611no—
932#477—611no—
933#477—611no—
934#477—611no—
935#477—611no—
936#477—611no—
937#477C2×D6111yescharacteristic
938#476—611no—
939#476—611no—
940#475—611no—
941#475—611no—
942#475—611no—
943#474—611no—
944#470—611no—
945#470—611no—
946#468—611no—
947#468C2×D6111yescharacteristic
948#467—611no—
949#467—611no—
950#467—611no—
951#467—611no—
952#467—611no—
953#467C2×D6111yescharacteristic
954#465—611no—
955#465—611no—
956#464—611no—
957#464—611no—
958#464—611no—
959#464C2×D6111yescharacteristic
960#462—611no—
961#462—611no—
962#462—611no—
963#462—611no—
964#462—611no—
965#461—611no—
966#452—611no—
967#452C2×D6111yescharacteristic
968#451—611no—
969#451—611no—
970#451—611no—
971#451C2×D6111yescharacteristic
972#446—611no—
973#446—611no—
974#441—611no—
975#441—611no—
976#441—611no—
977#441—611no—
978#441—611no—
979#441C2×D6111yescharacteristic
980#440—611no—
981#440—611no—
982C4×Q16—611no—
983C4×Q16—611no—
984C4×Q16—611no—
985C4×Q16—611no—
986#435—611no—
987#435—611no—
988#435—611no—
989#435C2×D6111yescharacteristic
990C8×D4—611no—
991C8×D4—611no—
992#432—611no—
993#432—611no—
994#431—611no—
995#428—611no—
996#428—611no—
997#427—611no—
998#427—611no—
999C2×#107—611no—
1000C2×#107—611no—
1001#423—611no—
1002C2×C4⋊C8—611no—
1003C2×C4⋊C8—611no—
1004#419—611no—
1005#419C2×D6111yescharacteristic
1006#416—611no—
1007#416C2×D6111yescharacteristic
1008C2×#103—611no—
1009C2×#103—611no—
1010C61#6213011yescharacteristic, complemented, Sylow
1011C2×#41—611no—
1012C2×#41—1221no—
1013C2×#41C22×D6111yescharacteristic
1014C22×Q8—611no—
1015C22×Q8—1221no—
1016C22×Q8C22×D6111yescharacteristic
1017C2×Q16—611no—
1018C2×Q16—611no—
1019C2×Q16—611no—
1020C2×Q16—611no—
1021C2×Q16C22×D6111yescharacteristic
1022C2×Q16C22×D6111yescharacteristic
1023C2×SD16—611no—
1024C2×SD16C22×D6111yescharacteristic
1025C2×M16—611no—
1026C2×M16C22×D6111yescharacteristic
1027C22×C8—611no—
1028C22×C8—611no—
1029C22×C8—611no—
1030C22×C8C22×D6111yescharacteristic
1031C4⋊Q8—611no—
1032C4⋊Q8—611no—
1033C4⋊Q8—611no—
1034C4⋊Q8—611no—
1035C4⋊Q8—611no—
1036C4⋊Q8—611no—
1037C4⋊Q8—611no—
1038C4⋊Q8—1221no—
1039C4⋊Q8—1221no—
1040C4⋊Q8—1221no—
1041C4⋊Q8—1221no—
1042C4⋊Q8—1221no—
1043C4⋊Q8—1221no—
1044C4⋊Q8C22×D6111yescharacteristic
1045#126—21no—
1046#126—21no—
1047#126—1221no—
1048#126—1221no—
1049#126—1221no—
1050#126—1221no—
1051#126—1221no—
1052#126—1221no—
1053#126—1221no—
1054#126—1221no—
1055#126—1221no—
1056#126—1221no—
1057#126—1221no—
1058#126—1221no—
1059#125—611no—
1060#125—611no—
1061#125—611no—
1062#125—611no—
1063#125—611no—
1064#125—611no—
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#124—21no—
1082#124—21no—
1083#124—611no—
1084#124—1221no—
1085#124—1221no—
1086#124C22×D6111yescharacteristic
1087#123—1221no—
1088#123—1221no—
1089#123—1221no—
1090#123—1221no—
1091#123—1221no—
1092#123—1221no—
1093#123—1221no—
1094#123—1221no—
1095#123—1221no—
1096#123—1221no—
1097C22⋊Q8—21no—
1098C22⋊Q8—611no—
1099C22⋊Q8—611no—
1100C22⋊Q8—611no—
1101C22⋊Q8—611no—
1102C22⋊Q8—611no—
1103C22⋊Q8—611no—
1104C22⋊Q8—611no—
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⋊Q8C22×D6111yescharacteristic
1119C22⋊Q8C22×D6111yescharacteristic
1120C22⋊Q8C22×D6111yescharacteristic
1121#121—21no—
1122#121—611no—
1123#121—1221no—
1124#121C22×D6111yescharacteristic
1125C4×Q8—21no—
1126C4×Q8—611no—
1127C4×Q8—611no—
1128C4×Q8—611no—
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—1221no—
1141C4×Q8—1221no—
1142C4×Q8—1221no—
1143C4×Q8—1221no—
1144C4×Q8—1221no—
1145C4×Q8—1221no—
1146C4×Q8—1221no—
1147C4×Q8—1221no—
1148C4×Q8—1221no—
1149C4×Q8—1221no—
1150C4×Q8—1221no—
1151C4×Q8—1221no—
1152C4×Q8—1221no—
1153C4×Q8—1221no—
1154C4×Q8—1221no—
1155C4×Q8—1221no—
1156C4×Q8C22×D6111yescharacteristic
1157C4×Q8C22×D6111yescharacteristic
1158C4×D4—21no—
1159C4×D4—611no—
1160C4×D4—611no—
1161C4×D4—611no—
1162C4×D4—611no—
1163C4×D4—611no—
1164C4×D4—611no—
1165C4×D4—611no—
1166C4×D4—1221no—
1167C4×D4—1221no—
1168C4×D4—1221no—
1169C4×D4—1221no—
1170C4×D4—1221no—
1171C4×D4—1221no—
1172C4×D4C22×D6111yescharacteristic
1173#117—611no—
1174#117—611no—
1175#117—611no—
1176#117—611no—
1177#117—611no—
1178#117—611no—
1179#117—1221no—
1180#117—1221no—
1181#117—1221no—
1182#117—1221no—
1183#117—1221no—
1184#117—1221no—
1185#117—1221no—
1186#117—1221no—
1187#117—1221no—
1188#117—1221no—
1189#117—1221no—
1190#117—1221no—
1191#117—1221no—
1192#117—1221no—
1193#117C22×D6111yescharacteristic
1194#117C22×D6111yescharacteristic
1195C2×C4⋊C4—611no—
1196C2×C4⋊C4—611no—
1197C2×C4⋊C4—611no—
1198C2×C4⋊C4—611no—
1199C2×C4⋊C4—1221no—
1200C2×C4⋊C4—1221no—
1201C2×C4⋊C4—1221no—
1202C2×C42—611no—
1203C2×C42—611no—
1204C2×C42—611no—
1205C2×C42—1221no—
1206C2×C42—1221no—
1207C2×C42—1221no—
1208#107—611no—
1209#107—611no—
1210#107—611no—
1211#107—611no—
1212#107—611no—
1213#107—611no—
1214#107—611no—
1215#107—611no—
1216#107—611no—
1217#107—611no—
1218#107—611no—
1219#107—611no—
1220#107C22×D6111yescharacteristic
1221#107C22×D6111yescharacteristic
1222#106—611no—
1223#106—611no—
1224#106—611no—
1225#106—611no—
1226#106—611no—
1227#106—611no—
1228#106—611no—
1229#106—611no—
1230#106—611no—
1231#106C22×D6111yescharacteristic
1232C4⋊C8—611no—
1233C4⋊C8—611no—
1234C4⋊C8—611no—
1235C4⋊C8—611no—
1236C4⋊C8—611no—
1237C4⋊C8—611no—
1238C4⋊C8—611no—
1239C4⋊C8—611no—
1240C4⋊C8—611no—
1241C4⋊C8C22×D6111yescharacteristic
1242#103—611no—
1243#103—611no—
1244#103—611no—
1245#103—611no—
1246#103—611no—
1247#103—611no—
1248#103—611no—
1249#103—611no—
1250#103—611no—
1251#103—611no—
1252#103—611no—
1253#103—611no—
1254#103—611no—
1255#103—611no—
1256#103—611no—
1257#103—611no—
1258#103—611no—
1259#103—611no—
1260#103—611no—
1261#103C22×D6111yescharacteristic
1262#103C22×D6111yescharacteristic
1263#103C22×D6111yescharacteristic
1264#103C22×D6111yescharacteristic
1265#103C22×D6111yescharacteristic
1266#103C22×D6111yescharacteristic
1267#103C22×D6111yescharacteristic
1268#102—611no—
1269#102—611no—
1270#102—611no—
1271#102C22×D6111yescharacteristic
1272#102C22×D6111yescharacteristic
1273#102C22×D6111yescharacteristic
1274C22⋊C8—611no—
1275C22⋊C8—611no—
1276C22⋊C8—611no—
1277C22⋊C8—611no—
1278C22⋊C8C22×D6111yescharacteristic
1279C22⋊C8C22×D6111yescharacteristic
1280#97—611no—
1281#97—611no—
1282#97—611no—
1283#97C22×D6111yescharacteristic
1284C4×C8—611no—
1285C4×C8—611no—
1286#41—22no—
1287#41—41no—
1288#41—2442no—
1289#41—2444no—
1290C2×Q8—21no—
1291C2×Q8—21no—
1292C2×Q8—22no—
1293C2×Q8—41no—
1294C2×Q8—611no—
1295C2×Q8—611no—
1296C2×Q8—611no—
1297C2×Q8—1221no—
1298C2×Q8—1221no—
1299C2×Q8—1221no—
1300C2×Q8—1221no—
1301C2×Q8—1221no—
1302C2×Q8—1221no—
1303C2×Q8—1222no—
1304C2×Q8—2441no—
1305C2×Q8—2444no—
1306C2×Q8C23×D6111yescharacteristic
1307C2×Q8C23×D6111yescharacteristic
1308C2×Q8C23×D6111yescharacteristic
1309C2×D4—21no—
1310C2×D4—21no—
1311C2×D4—611no—
1312C2×D4—611no—
1313C2×D4—1221no—
1314C2×D4D4×D6111yescharacteristic
1315C2×D4C23×D6111yescharacteristic
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—611no—
1319C22×C4—611no—
1320C22×C4—611no—
1321C22×C4—611no—
1322C22×C4—611no—
1323C22×C4—611no—
1324C22×C4—611no—
1325C22×C4—1221no—
1326C22×C4—1221no—
1327C22×C4—1221no—
1328C22×C4—1221no—
1329C22×C4—1221no—
1330C22×C4—1221no—
1331C22×C4—1221no—
1332C22×C4C23×D6111yescharacteristic
1333C22×C4C23×D6111yescharacteristic
1334Q16—22no—
1335Q16—41no—
1336Q16—1222no—
1337Q16—2441no—
1338Q16—2441no—
1339Q16—2441no—
1340SD16—41no—
1341SD16—2441no—
1342M16—41no—
1343M16—2441no—
1344C2×C8—41no—
1345C2×C8—611no—
1346C2×C8—611no—
1347C2×C8—611no—
1348C2×C8—611no—
1349C2×C8—2441no—
1350C2×C8—2441no—
1351C2×C8—2441no—
1352C2×C8C23×D6111yescharacteristic
1353C2×C8C23×D6111yescharacteristic
1354C2×C8C23×D6111yescharacteristic
1355C2×C8C23×D6111yescharacteristic
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—611no—
1363C4⋊C4—611no—
1364C4⋊C4—611no—
1365C4⋊C4—611no—
1366C4⋊C4—611no—
1367C4⋊C4—611no—
1368C4⋊C4—611no—
1369C4⋊C4—611no—
1370C4⋊C4—611no—
1371C4⋊C4—611no—
1372C4⋊C4—611no—
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⋊C4—1221no—
1399C4⋊C4—1221no—
1400C4⋊C4—1221no—
1401C4⋊C4—1221no—
1402C4⋊C4—1221no—
1403C4⋊C4—1221no—
1404C4⋊C4—1221no—
1405C4⋊C4—1221no—
1406C4⋊C4—1221no—
1407C4⋊C4—1221no—
1408C4⋊C4—1221no—
1409C4⋊C4—1221no—
1410C4⋊C4—1221no—
1411C4⋊C4—1221no—
1412C4⋊C4—1221no—
1413C4⋊C4—1221no—
1414C4⋊C4—1221no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4D4×D6111yescharacteristic
1418C4⋊C4C23×D6111yescharacteristic
1419C4⋊C4C23×D6111yescharacteristic
1420C4⋊C4C23×D6111yescharacteristic
1421C4⋊C4C23×D6111yescharacteristic
1422C22⋊C4—21no—
1423C22⋊C4—21no—
1424C22⋊C4—21no—
1425C22⋊C4—21no—
1426C22⋊C4—21no—
1427C22⋊C4—21no—
1428C22⋊C4—21no—
1429C22⋊C4—21no—
1430C22⋊C4—611no—
1431C22⋊C4—611no—
1432C22⋊C4—611no—
1433C22⋊C4—611no—
1434C22⋊C4—1221no—
1435C22⋊C4—1221no—
1436C22⋊C4—1221no—
1437C22⋊C4—1221no—
1438C22⋊C4—1221no—
1439C22⋊C4—1221no—
1440C22⋊C4—1221no—
1441C22⋊C4—1221no—
1442C22⋊C4—1221no—
1443C22⋊C4—1221no—
1444C22⋊C4—1221no—
1445C22⋊C4—1221no—
1446C22⋊C4—1221no—
1447C22⋊C4—1221no—
1448C22⋊C4—1221no—
1449C22⋊C4D4×D6111yescharacteristic
1450C22⋊C4D4×D6111yescharacteristic
1451C42—21no—
1452C42—21no—
1453C42—21no—
1454C42—21no—
1455C42—611no—
1456C42—611no—
1457C42—611no—
1458C42—611no—
1459C42—611no—
1460C42—611no—
1461C42—611no—
1462C42—611no—
1463C42—611no—
1464C42—1221no—
1465C42—1221no—
1466C42—1221no—
1467C42—1221no—
1468C42—1221no—
1469C42—1221no—
1470C42—1221no—
1471C42—1221no—
1472C42—1221no—
1473C42—1221no—
1474C42—1221no—
1475C42—1221no—
1476C42—1221no—
1477C42—1221no—
1478C42—1221no—
1479C42C23×D6111yescharacteristic
1480C23—21no—
1481C23—611no—
1482C23C2×D4×D6111yescharacteristic
1483C23C2×D4×D6111yescharacteristic
1484Q8—21no—
1485Q8—21no—
1486Q8—21no—
1487Q8—21no—
1488Q8—21no—
1489Q8—42no—
1490Q8—42no—
1491Q8—1221no—
1492Q8—1221no—
1493Q8—1221no—
1494Q8—1221no—
1495Q8—2441no—
1496Q8—2442no—
1497Q8—2442no—
1498Q8—2442no—
1499Q8—2442no—
1500Q8—2442no—
1501Q8—2442no—
1502Q8#1451982412yes—
1503D4—21no—
1504D4—21no—
1505D4—41no—
1506D4—42no—
1507D4—42no—
1508D4—1222no—
1509D4—1222no—
1510D4—2442no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—42no—
1523C2×C4—42no—
1524C2×C4—611no—
1525C2×C4—611no—
1526C2×C4—611no—
1527C2×C4—611no—
1528C2×C4—611no—
1529C2×C4—611no—
1530C2×C4—611no—
1531C2×C4—1222no—
1532C2×C4—1222no—
1533C2×C4—1222no—
1534C2×C4—1222no—
1535C2×C4—1221no—
1536C2×C4—1221no—
1537C2×C4—1221no—
1538C2×C4—1221no—
1539C2×C4—1221no—
1540C2×C4—1221no—
1541C2×C4—1221no—
1542C2×C4—1221no—
1543C2×C4—1221no—
1544C2×C4—1221no—
1545C2×C4—2442no—
1546C2×C4—2442no—
1547C2×C4—2442no—
1548C2×C4—2442no—
1549C2×C4—2442no—
1550C2×C4—2441no—
1551C2×C4—2441no—
1552C2×C4—2442no—
1553C2×C4—2442no—
1554C2×C4C2×D4×D6111yescharacteristic
1555C2×C4C2×D4×D6111yescharacteristic
1556C2×C4C2×D4×D6111yescharacteristic
1557C2×C4C2×D4×D6111yescharacteristic
1558C2×C4C24×D6111yescharacteristic
1559C8—21no—
1560C8—21no—
1561C8—21no—
1562C8—21no—
1563C8—1221no—
1564C8—1221no—
1565C8—1221no—
1566C8—1221no—
1567C22—21no—
1568C22—21no—
1569C22—21no—
1570C22—21no—
1571C22—21no—
1572C22—21no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—612no—
1577C22—1221no—
1578C22—1221no—
1579C22C22×D4×D6111yescharacteristic
1580C4—21no—
1581C4—21no—
1582C4—22no—
1583C4—21no—
1584C4—21no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—612no—
1592C4—1221no—
1593C4—1221no—
1594C4—1221no—
1595C4—1221no—
1596C4—1221no—
1597C4—1221no—
1598C4—2441no—
1599C4—2441no—
1600C4—2441no—
1601C4—2441no—
1602C4—2441no—
1603C4—2441no—
1604C4—2441no—
1605C4—2441no—
1606C4C2×#1451982411yescharacteristic
1607C4#1684059711yescharacteristic
1608C2—41no—
1609C2—41no—
1610C2—81no—
1611C2—1222no—
1612C2#2145949011yescharacteristic
1613C2#575×D6111yescharacteristic
1614C2#578×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3313C2
socleC22×C61C23×D4
prime radical#21459435C2
hypercenter#3313D61
hypocenterC61#62130
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3313

Complements

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

NH ≅ G/Ntype
1. #21459699C2semidirect
3. #21458787C2semidirect
4. #21458781C2semidirect
5. #21458660C2semidirect
6. #21458658C2semidirect
7. #21458351C2semidirect
8. #21458343C2semidirect
9. #21458254C2semidirect
10. #21458252C2semidirect
11. #21458182C2semidirect
12. #21458180C2semidirect
13. #21457885C2semidirect
14. #21457871C2semidirect
15. #21457863C2semidirect
16. #21457707C2semidirect
17. #21457699C2semidirect
18. #21457185C2semidirect
19. #21457160C2semidirect
20. #21457153C2semidirect
21. #21457036C2semidirect
22. #21457030C2semidirect
23. #21456995C2semidirect
24. #21455974C2semidirect
25. #21455947C2semidirect
26. #21455853C2semidirect
27. #21455621C2semidirect
28. #21455603C2semidirect
29. #477×D61C2semidirect
30. #21454939C2semidirect
31. C61×#3313C2semidirect
814. #3313D61semidirect
1010. C61#62130semidirect

Maximal subgroups

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

subgroupindex
#214596992
#214594352
#214587872
#214587812
#214586602
#214586582
#214583512
#214583432
#214582542
#214582522
#214581822
#214581802
#214578852
#214578712
#214578632
#214577072
#214576992
#214571852
#214571602
#214571532
#214570362
#214570302
#214569952
#214559742
#214559472
#214558532
#214556212
#214556032
#477×D612
#214549392
C61×#33132
#6213061