Finite Group Databasebeta

← #30576931

Subgroups — #30576931

Order 15616.

1702 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460470C211yesmaximal, characteristic, complemented
2#21459819C211yesmaximal, characteristic, complemented
3#21458784C211yesmaximal, characteristic, complemented
4#21458769C211yesmaximal, characteristic, complemented
5#21458549C211yesmaximal, characteristic, complemented
6#21458524C211yesmaximal, characteristic, complemented
7#21458369C211yesmaximal, characteristic, complemented
8#21458322C211yesmaximal, characteristic, complemented
9#21458293C211yesmaximal, characteristic, complemented
10#21458262C211yesmaximal, characteristic, complemented
11#21458223C211yesmaximal, characteristic, complemented
12#21458196C211yesmaximal, characteristic, complemented
13#21457949C211yesmaximal, characteristic, complemented
14#21457938C211yesmaximal, characteristic, complemented
15#21457830C211yesmaximal, characteristic, complemented
16#21457818C211yesmaximal, characteristic, complemented
17#21457762C211yesmaximal, characteristic, complemented
18#21457760C211yesmaximal, characteristic, complemented
19#21457230C211yesmaximal, characteristic, complemented
20#21457227C211yesmaximal, characteristic, complemented
21#21457142C211yesmaximal, characteristic, complemented
22#21457079C211yesmaximal, characteristic, complemented
23#21457074C211yesmaximal, characteristic, complemented
24#21457016C211yesmaximal, characteristic, complemented
25#21456095C211yesmaximal, characteristic, complemented
26#21455927C211yesmaximal, characteristic, complemented
27#21455681C211yesmaximal, characteristic, complemented
28#21455667C211yesmaximal, characteristic, complemented
29#21455610C211yesmaximal, characteristic, complemented
30#21454953C211yesmaximal, characteristic, complemented
31C61×#3124C211yesmaximal, characteristic, complemented
32#16840513—21no—
33#16840506—21no—
34#16840488C2211yescharacteristic
35#16840488C2211yescharacteristic
36#16840485C2211yescharacteristic
37#16840481—21no—
38#16840476C2211yescharacteristic
39#16840469C2211yescharacteristic
40#16840464C2211yescharacteristic
41#16840462—21no—
42#16840462C2211yescharacteristic
43#16840462C2211yescharacteristic
44#16840460—21no—
45#16840460C2211yescharacteristic
46#16840454—21no—
47#16840454C2211yescharacteristic
48#16840446C2211yescharacteristic
49#16840434C2211yescharacteristic
50#16840433—21no—
51#16840433C2211yescharacteristic
52#16840431C2211yescharacteristic
53#16840431C2211yescharacteristic
54#16840413—21no—
55#16840413C2211yescharacteristic
56#16840390C2211yescharacteristic
57#16840389C2211yescharacteristic
58#16840381C2211yescharacteristic
59#16840380—21no—
60#16840378—21no—
61#16840369—21no—
62#16840367—21no—
63#16840367C2211yescharacteristic
64#16840363—21no—
65#16840363C2211yescharacteristic
66#16840356—21no—
67#16840317C2211yescharacteristic
68#16840309—21no—
69#16840309C2211yescharacteristic
70#16840291C2211yescharacteristic
71#16840290—21no—
72#16840290C2211yescharacteristic
73#16840244C2211yescharacteristic
74C4×#11758226C2211yescharacteristic
75#16840171C2211yescharacteristic
76#16840170C2211yescharacteristic
77#16840170C2211yescharacteristic
78#16840170C2211yescharacteristic
79#16840164C2211yescharacteristic
80#16840163C2211yescharacteristic
81#16840127C2211yescharacteristic
82#16840125C2211yescharacteristic
83#16840125C2211yescharacteristic
84#16840125C2211yescharacteristic
85#16840109C2211yescharacteristic
86#16840107C2211yescharacteristic
87#16840102C2211yescharacteristic
88#16840091C2211yescharacteristic
89#16840089C2211yescharacteristic
90#16840089C2211yescharacteristic
91#16840089C2211yescharacteristic
92#16840087C2211yescharacteristic
93#16840087C2211yescharacteristic
94#16840085C2211yescharacteristic
95#16840085C2211yescharacteristic
96#16840085C2211yescharacteristic
97#16840084C2211yescharacteristic
98#16840081C2211yescharacteristic
99#16840079C2211yescharacteristic
100#16840079C2211yescharacteristic
101#16840077C2211yescharacteristic
102#16840076C2211yescharacteristic
103#16840071C2211yescharacteristic
104#16840071C2211yescharacteristic
105#16840071C2211yescharacteristic
106#16840069C2211yescharacteristic
107#16840069C2211yescharacteristic
108#16840069C2211yescharacteristic
109#16840067C2211yescharacteristic
110#16840065C2211yescharacteristic
111#16840065C2211yescharacteristic
112#16840065C2211yescharacteristic
113#16840063C2211yescharacteristic
114#16840063C2211yescharacteristic
115#16840062C2211yescharacteristic
116#16840062C2211yescharacteristic
117#16840062C2211yescharacteristic
118#16840060C2211yescharacteristic
119#16840055C2211yescharacteristic
120#16840055C2211yescharacteristic
121#16840053C2211yescharacteristic
122#16840052C2211yescharacteristic
123#16840052C2211yescharacteristic
124#16840050C2211yescharacteristic
125#16840049C2211yescharacteristic
126#16840047C2211yescharacteristic
127#16840047C2211yescharacteristic
128#16840043C2211yescharacteristic
129#16840041C2211yescharacteristic
130#16840039C2211yescharacteristic
131#16840014C2211yescharacteristic
132#16840013C2211yescharacteristic
133#16840010C2211yescharacteristic
134#16840005C2211yescharacteristic
135#16839997C2211yescharacteristic
136#16839996C2211yescharacteristic
137#16839995C2211yescharacteristic
138#16839995C2211yescharacteristic
139#16839994C2211yescharacteristic
140#16839994C2211yescharacteristic
141#16839993C2211yescharacteristic
142#16839988C2211yescharacteristic
143#16839974C2211yescharacteristic
144#16839974C2211yescharacteristic
145#16839962C2211yescharacteristic
146#16839960C2211yescharacteristic
147#16839960C2211yescharacteristic
148#16839957C2211yescharacteristic
149#16839955C2211yescharacteristic
150#16839955C2211yescharacteristic
151#16839923C2211yescharacteristic
152#16839923C2211yescharacteristic
153#16839906C2211yescharacteristic
154#16839906C2211yescharacteristic
155#16839892C2211yescharacteristic
156#16839890C2211yescharacteristic
157#16839871C2211yescharacteristic
158#16839871C2211yescharacteristic
159#16839869C2211yescharacteristic
160#16839869C2211yescharacteristic
161#16839865C2211yescharacteristic
162#16839863C2211yescharacteristic
163SD16×Dic61C2211yescharacteristic
164#16839847C2211yescharacteristic
165#16839836C2211yescharacteristic
166#16839836C2211yescharacteristic
167#16839835C2211yescharacteristic
168#16839830C2211yescharacteristic
169C8×D244C2211yescharacteristic
170#16839825C2211yescharacteristic
171#16839822C2211yescharacteristic
172#16839818C2211yescharacteristic
173#16839803C2211yescharacteristic
174#16839802C2211yescharacteristic
175#16839799C2211yescharacteristic
176#16839799C2211yescharacteristic
177#107×D61C2211yescharacteristic
178C2×#14519708C2211yescharacteristic
179#16839789C2211yescharacteristic
180#16839787C2211yescharacteristic
181C4⋊C8×D61C2211yescharacteristic
182#16839763C2211yescharacteristic
183#16839762C2211yescharacteristic
184#16839758C2211yescharacteristic
185#16839757C2211yescharacteristic
186#16839757C2211yescharacteristic
187#16839757C2211yescharacteristic
188C61×#542C2211yescharacteristic
189C61×#520C2211yescharacteristic
190C61×#484C2211yescharacteristic
191C61×#480C2211yescharacteristic
192C61×#477C2211yescharacteristic
193C61×#474C2211yescharacteristic
194C61×#464C2211yescharacteristic
195C61×#463C2211yescharacteristic
196C61×#452C2211yescharacteristic
197C61×#449C2211yescharacteristic
198C61×#440C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C4×Q16×C61C2211yescharacteristic
201C4×D8×C61C2211yescharacteristic
202C61×#433C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758222—21no—
208C2×#11758201C2311yescharacteristic
209C2×#11758201C2311yescharacteristic
210C2×#11758199C2311yescharacteristic
211C2×#11758199C2311yescharacteristic
212C2×#11758194C2311yescharacteristic
213C2×#11758189C2311yescharacteristic
214C22×#92418C2311yescharacteristic
215C2×C8×D61C2311yescharacteristic
216C2×C8×D61C2311yescharacteristic
217C2×C8×D61C2311yescharacteristic
218#14519777C2311yescharacteristic
219#14519777C2311yescharacteristic
220#14519776—21no—
221#14519776—21no—
222#14519776—21no—
223#14519776C2311yescharacteristic
224#14519776C2311yescharacteristic
225#14519775—21no—
226#14519774—21no—
227#14519774C2311yescharacteristic
228#14519773—21no—
229#14519773—21no—
230#14519773C2311yescharacteristic
231#14519773C2311yescharacteristic
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519772D411yescharacteristic
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519770—21no—
242#14519770—21no—
243#14519770D411yescharacteristic
244#14519769—21no—
245#14519769—21no—
246#14519769C2311yescharacteristic
247#14519769C2311yescharacteristic
248#14519769C2311yescharacteristic
249#14519768—21no—
250#14519768—21no—
251#14519768—21no—
252#14519768—21no—
253#14519768C2311yescharacteristic
254#14519768C2311yescharacteristic
255#14519768C2311yescharacteristic
256#14519768C2311yescharacteristic
257#14519767—21no—
258#14519767—21no—
259#14519767D411yescharacteristic
260#14519765—21no—
261#14519764—21no—
262#14519763—21no—
263#14519763—21no—
264#14519763—21no—
265#14519763D411yescharacteristic
266#14519762—21no—
267#14519762—21no—
268#14519762—21no—
269#14519762—21no—
270#14519762D411yescharacteristic
271#14519761—21no—
272#14519761—21no—
273#14519761—21no—
274#14519760—21no—
275#14519760—21no—
276#14519760—21no—
277#14519760—21no—
278#14519759—21no—
279#14519759—21no—
280#14519759—21no—
281#14519759D411yescharacteristic
282#14519757—21no—
283#14519756—21no—
284#14519755—21no—
285#14519755—21no—
286#14519755D411yescharacteristic
287#14519754—21no—
288#14519754—21no—
289#14519754—21no—
290#14519754—21no—
291#14519754—21no—
292#14519753—21no—
293#14519753—21no—
294#14519753C2311yescharacteristic
295#14519753C2311yescharacteristic
296#14519752—21no—
297#14519752—21no—
298#14519752C2311yescharacteristic
299#14519752C2311yescharacteristic
300#14519751—21no—
301#14519751—21no—
302#14519751—21no—
303#14519751—21no—
304#14519751—21no—
305#14519751C2311yescharacteristic
306#14519751C2311yescharacteristic
307#14519750—21no—
308#14519750—21no—
309#14519750—21no—
310#14519750—21no—
311#14519750—21no—
312#14519750—21no—
313#14519750—21no—
314#14519750—21no—
315#14519750D411yescharacteristic
316#14519749—21no—
317#14519749—21no—
318#14519748—21no—
319#14519748—21no—
320#14519748C2311yescharacteristic
321#14519748C2311yescharacteristic
322#14519748C2311yescharacteristic
323#14519748C2311yescharacteristic
324Q8×Dic61—21no—
325Q8×Dic61C2311yescharacteristic
326Q8×Dic61C2311yescharacteristic
327Q8×Dic61C2311yescharacteristic
328Q8×Dic61C2311yescharacteristic
329C4×Dic122—21no—
330C4×Dic122—21no—
331C4×Dic122—21no—
332C4×Dic122C2311yescharacteristic
333#14519742—21no—
334C4×D244—21no—
335C4×D244—21no—
336C4×D244—21no—
337C4×D244C2311yescharacteristic
338C4×D244C2311yescharacteristic
339C4×D244C2311yescharacteristic
340D4×Dic61—21no—
341D4×Dic61C2311yescharacteristic
342D4×Dic61C2311yescharacteristic
343#14519739—21no—
344#14519739—21no—
345#14519739C2311yescharacteristic
346#14519739C2311yescharacteristic
347C4×C22⋊D61—21no—
348C4×C22⋊D61—21no—
349C4×C22⋊D61—21no—
350C4×C22⋊D61—21no—
351C4×C22⋊D61—21no—
352C4×C22⋊D61—21no—
353C4×C22⋊D61C2311yescharacteristic
354C4×C22⋊D61C2311yescharacteristic
355#14519737—21no—
356#14519736C2311yescharacteristic
357#14519735—21no—
358#14519735—21no—
359#14519735C2311yescharacteristic
360#14519735C2311yescharacteristic
361#14519735C2311yescharacteristic
362#14519735C2311yescharacteristic
363#14519734—21no—
364#14519734C2311yescharacteristic
365#14519733—21no—
366#14519733—21no—
367#14519733—21no—
368C2×C4⋊Dic61—21no—
369C2×C4⋊Dic61C2311yescharacteristic
370C4⋊C4×D61—21no—
371C4⋊C4×D61C2311yescharacteristic
372C4⋊C4×D61C2311yescharacteristic
373C42×D61—21no—
374C42×D61C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396C4⋊#92418C2311yescharacteristic
397C4⋊#92418C2311yescharacteristic
398C4⋊#92418C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433#14519687C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×#41×C61C2311yescharacteristic
436C2×Q16×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C2×D8×C61C2311yescharacteristic
440C4⋊Q8×C61C2311yescharacteristic
441#126×C61—21no—
442#124×C61—21no—
443#124×C61C2311yescharacteristic
444#123×C61—21no—
445C22⋊Q8×C61—21no—
446C22⋊Q8×C61C2311yescharacteristic
447#121×C61C2311yescharacteristic
448C4×Q8×C61C2311yescharacteristic
449C4×Q8×C61C2311yescharacteristic
450C4×Q8×C61C2311yescharacteristic
451C4×D4×C61—21no—
452C4×D4×C61—21no—
453C4×D4×C61C2311yescharacteristic
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#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×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—41no—
480C2×Q8×C61—21no—
481C2×Q8×C61C2411yescharacteristic
482C2×Q8×C61C2411yescharacteristic
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61C2411yescharacteristic
486C2×D4×C61C2411yescharacteristic
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C22×C4×C61C2411yescharacteristic
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61C2×D411yescharacteristic
504C2×C22⋊D61C2×D411yescharacteristic
505C22×Dic61—21no—
506C22×Dic61—21no—
507C22×Dic61—21no—
508#11758226—22no—
509#11758226—22no—
510#11758226—41no—
511#11758226—41no—
512#11758222—82no—
513#11758222—82no—
514#11758222—82no—
515C2×D244—21no—
516C2×D244—21no—
517C2×D244—21no—
518C2×D244—21no—
519C2×D244—21no—
520C2×D244—21no—
521C2×D244C2×D411yescharacteristic
522C2×D244C2411yescharacteristic
523C2×D244C2411yescharacteristic
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61C2×D411yescharacteristic
533C2×C4×D61C2×D411yescharacteristic
534C2×C4×D61C2411yescharacteristic
535C2×C4×D61C2411yescharacteristic
536C2×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122—21no—
540C2×Dic122C2×D411yescharacteristic
541Q16×C61—22no—
542SD16×C61—22no—
543SD16×C61—41no—
544D8×C61—41no—
545C2×C8×C61C2411yescharacteristic
546C2×C8×C61C2411yescharacteristic
547C2×C8×C61C2411yescharacteristic
548C2×C8×C61C2411yescharacteristic
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61C2×D411yescharacteristic
556C4⋊C4×C61C2×D411yescharacteristic
557C4⋊C4×C61C2411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C22⋊C4×C61—21no—
562C22⋊C4×C61—21no—
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61C2×D411yescharacteristic
569C22⋊C4×C61C2×D411yescharacteristic
570C42×C61—21no—
571C42×C61—21no—
572C42×C61—21no—
573C42×C61C2411yescharacteristic
574C42×C61C2411yescharacteristic
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61C2×D411yescharacteristic
583C22⋊Dic61C2×D411yescharacteristic
584#11758201—41no—
585#11758201—41no—
586#11758199—41no—
587#11758199—41no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198C2×D411yescharacteristic
603#11758198C2×D411yescharacteristic
604#11758198C2×D411yescharacteristic
605#11758198C2×D411yescharacteristic
606#11758198C2×D411yescharacteristic
607#11758198C2×D411yescharacteristic
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61C2×D411yescharacteristic
620C4⋊Dic61C2×D411yescharacteristic
621C4⋊Dic61C2411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2411yescharacteristic
661C4×Dic61C2411yescharacteristic
662#11758194—41no—
663C2×#92418—41no—
664C2×#92418C2411yescharacteristic
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668#11758189—41no—
669C8×D61—41no—
670C8×D61—41no—
671C8×D61—41no—
672C23×C61—21no—
673C23×C61—21no—
674C23×C61C22×D411yescharacteristic
675C22×D61—21no—
676C22×D61—21no—
677C22×D61C22×D411yescharacteristic
678C22×D61C22×D411yescharacteristic
679Q8×C61—21no—
680Q8×C61—21no—
681Q8×C61—21no—
682Q8×C61—81no—
683Q8×C612−1+412yes—
684D4×C61—21no—
685D4×C61—21no—
686D4×C61—21no—
687D4×C61—21no—
688D4×C61—42no—
689D4×C61—81no—
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—42no—
699C2×C4×C61—81no—
700C2×C4×C61—81no—
701C2×C4×C61—81no—
702C2×C4×C61—81no—
703C2×C4×C61C22×D411yescharacteristic
704C2×C4×C61C22×D411yescharacteristic
705C2×C4×C61C22×D411yescharacteristic
706C2×C4×C61C22×D411yescharacteristic
707C2×C4×C61C22×D411yescharacteristic
708C2×C4×C61C2511yescharacteristic
709C22⋊D61—41no—
710C22⋊D61—41no—
711C22⋊D61—42no—
712C22⋊D61—81no—
713C22⋊D61—81no—
714C22⋊D61—81no—
715C22⋊D61—81no—
716C22⋊D61—81no—
717C22⋊D61—81no—
718C22⋊D61—81no—
719C22⋊D61—81no—
720C22⋊D61—81no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—81no—
728C2×Dic61—81no—
729C2×Dic61—81no—
730C2×Dic61C22×D411yescharacteristic
731C2×Dic61C22×D411yescharacteristic
732C2×Dic61C22×D411yescharacteristic
733C2×Dic61C22×D411yescharacteristic
734C2×Dic61C22×D411yescharacteristic
735C2×Dic61C22×D411yescharacteristic
736D244—21no—
737D244—21no—
738D244—21no—
739D244—21no—
740D244—41no—
741D244—42no—
742D244—42no—
743D244—81no—
744D244—81no—
745D244—81no—
746D244—81no—
747C4×D61—21no—
748C4×D61—21no—
749C4×D61—21no—
750C4×D61—21no—
751C4×D61—41no—
752C4×D61—41no—
753C4×D61—42no—
754C4×D61—42no—
755C4×D61—42no—
756C4×D61—81no—
757C4×D61—81no—
758C4×D61—81no—
759C4×D61—81no—
760C4×D61—81no—
761Dic122—41no—
762Dic122—42no—
763Dic122—81no—
764Dic122—81no—
765Dic122—81no—
766C8×C61—21no—
767C8×C61—21no—
768C8×C61—21no—
769C8×C61—21no—
770#92418—21no—
771#92418—21no—
772#92418—21no—
773#92418—21no—
774#62162—611nomaximal, Sylow
775C22×C61—21no—
776C22×C61—21no—
777C22×C61—21no—
778C22×C61—41no—
779C22×C61—41no—
780C22×C61—41no—
781C22×C61—41no—
782C22×C61—41no—
783C22×C61—41no—
784C22×C61C23×D411yescharacteristic
785C2×D61—21no—
786C2×D61—21no—
787C2×D61—21no—
788C2×D61—21no—
789C2×D61—21no—
790C2×D61—21no—
791C2×D61—41no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—41no—
797C4×C61—21no—
798C4×C61—21no—
799C4×C61—21no—
800C4×C61—21no—
801C4×C61—22no—
802C4×C61—21no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61C2×2−1+411yescharacteristic
809C4×C61#58511yescharacteristic
810Dic61—21no—
811Dic61—21no—
812Dic61—21no—
813Dic61—21no—
814Dic61—21no—
815Dic61—21no—
816Dic61—41no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822#3565—611no—
823#3517—611no—
824#3390—611no—
825#3388—611no—
826#3368—611no—
827#3366—611no—
828#3350—611no—
829#3347—611no—
830#3345—611no—
831#3343—611no—
832#3339—611no—
833#3337—611no—
834#3317—611no—
835#3317—611no—
836#3309—611no—
837#3309—611no—
838#3305—611no—
839#3304—611no—
840#3257—611no—
841#3257—611no—
842#3247—611no—
843#3241—611no—
844#3241—611no—
845#3235—611no—
846#3125—611no—
847#3124D6111yescharacteristic, complemented
848#3111—611no—
849#3084—611no—
850#3083—611no—
851#3076—611no—
852#2992—611no—
853C2×C61—41no—
854C2×C61—81no—
855C2×C61—81no—
856C2×C61#348911yescharacteristic
857C2×C61#358411yescharacteristic
858C2×C61#358511yescharacteristic
859D61—41no—
860D61—41no—
861D61—81no—
862D61—81no—
863#563—1221no—
864#562—1221no—
865#557—611no—
866#557—611no—
867#556—611no—
868#556—1221no—
869#555—611no—
870#554—611no—
871#553—611no—
872#553—611no—
873#553—611no—
874#553—611no—
875#553—1221no—
876#553—1221no—
877#552—611no—
878#552—611no—
879#552—1221no—
880#550—611no—
881#550—611no—
882#550—611no—
883#550—611no—
884#550—1221no—
885#547—611no—
886#547—1221no—
887#544—611no—
888#544—611no—
889#542—611no—
890#542—1221no—
891#542—1221no—
892#542C2×D6111yescharacteristic
893#541—1221no—
894#540—611no—
895#540—611no—
896#540—1221no—
897#540—1221no—
898#539—1221no—
899#533—611no—
900#532—611no—
901#532—1221no—
902#529—611no—
903#529—611no—
904#529—1221no—
905#520—611no—
906#520C2×D6111yescharacteristic
907C4×#41—611no—
908#501—611no—
909#501—611no—
910#501—611no—
911#501—611no—
912#499—611no—
913#499—611no—
914#490—611no—
915#490—611no—
916#490—611no—
917#490—611no—
918#486—611no—
919#486—611no—
920#485—611no—
921#484C2×D6111yescharacteristic
922#483—611no—
923#482—611no—
924#482—611no—
925#482—611no—
926#482—611no—
927#482—611no—
928#482—611no—
929#482—611no—
930#482—611no—
931#482—611no—
932#481—611no—
933#481—611no—
934#481—611no—
935#480—611no—
936#480—611no—
937#480C2×D6111yescharacteristic
938#479—611no—
939#479—611no—
940#479—611no—
941#479—611no—
942#479—611no—
943#479—611no—
944#479—611no—
945#478—611no—
946#478—611no—
947#478—611no—
948#478—611no—
949#478—611no—
950#478—611no—
951#478—611no—
952#478—611no—
953#478—611no—
954#477—611no—
955#477—611no—
956#477C2×D6111yescharacteristic
957#476—611no—
958#476—611no—
959#476—611no—
960#476—611no—
961#476—611no—
962#475—611no—
963#475—611no—
964#474—611no—
965#474—611no—
966#474—611no—
967#474C2×D6111yescharacteristic
968#469—611no—
969#469—611no—
970#468—611no—
971#468—611no—
972#466—611no—
973#466—611no—
974#466—611no—
975#466—611no—
976#465—611no—
977#465—611no—
978#465—611no—
979#465—611no—
980#464C2×D6111yescharacteristic
981#463—611no—
982#463—611no—
983#463C2×D6111yescharacteristic
984#460—611no—
985#460—611no—
986#460—611no—
987#459—611no—
988#459—611no—
989#459—611no—
990#452—611no—
991#452—611no—
992#452C2×D6111yescharacteristic
993#449—611no—
994#449—611no—
995#449C2×D6111yescharacteristic
996#446—611no—
997#446—611no—
998#442—611no—
999#442—611no—
1000#441—611no—
1001#441—611no—
1002#440—611no—
1003#440—611no—
1004#440C2×D6111yescharacteristic
1005#440C2×D6111yescharacteristic
1006C4×Q16C2×D6111yescharacteristic
1007C4×SD16—611no—
1008C4×SD16—611no—
1009C4×D8C2×D6111yescharacteristic
1010#435—611no—
1011#435—611no—
1012#435—611no—
1013#435—611no—
1014C8×D4—611no—
1015C8×D4—611no—
1016#433—611no—
1017#433C2×D6111yescharacteristic
1018#432—611no—
1019#428—611no—
1020#428—611no—
1021#427—611no—
1022#427—611no—
1023C2×#107—611no—
1024C2×#106—611no—
1025#424—611no—
1026#424—611no—
1027C2×C4⋊C8—611no—
1028#417—611no—
1029#417—611no—
1030#416—611no—
1031#416—611no—
1032#416—611no—
1033#416—611no—
1034C61#6216211yescharacteristic, complemented, Sylow
1035C2×#41—611no—
1036C2×#41—611no—
1037C2×#41—1221no—
1038C2×#41—1221no—
1039C2×#41—1221no—
1040C2×#41C22×D6111yescharacteristic
1041C2×Q16C22×D6111yescharacteristic
1042C2×SD16—611no—
1043C2×SD16—611no—
1044C2×SD16C22×D6111yescharacteristic
1045C2×SD16C22×D6111yescharacteristic
1046C2×D8—611no—
1047C2×D8—611no—
1048C2×D8C22×D6111yescharacteristic
1049C2×M16—611no—
1050C2×M16—611no—
1051C22×C8—611no—
1052C22×C8—611no—
1053C22×C8—611no—
1054C22×C8—611no—
1055C4⋊Q8—611no—
1056C4⋊Q8—611no—
1057C4⋊Q8—611no—
1058C4⋊Q8—611no—
1059C4⋊Q8—1221no—
1060C4⋊Q8—1221no—
1061C4⋊Q8—1221no—
1062C4⋊Q8—1221no—
1063C4⋊Q8C22×D6111yescharacteristic
1064#127—611no—
1065#127—611no—
1066#127—611no—
1067#127—1221no—
1068#127—1221no—
1069#127—1221no—
1070#126—21no—
1071#126—611no—
1072#126—611no—
1073#126—1221no—
1074#126—1221no—
1075#126—1221no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#125—611no—
1084#125—611no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—611no—
1089#125—611no—
1090#125—611no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125—1221no—
1098#125—1221no—
1099#124—21no—
1100#124—611no—
1101#124—1221no—
1102#124—1221no—
1103#124—1221no—
1104#124—1221no—
1105#124—1221no—
1106#124C22×D6111yescharacteristic
1107#123—21no—
1108#123—611no—
1109#123—611no—
1110#123—1221no—
1111#123—1221no—
1112#123—1221no—
1113#123—1221no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122#123—1221no—
1123#123—1221no—
1124C22⋊Q8—21no—
1125C22⋊Q8—611no—
1126C22⋊Q8—611no—
1127C22⋊Q8—611no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8C22×D6111yescharacteristic
1140#121—611no—
1141#121—611no—
1142#121—611no—
1143#121—611no—
1144#121—611no—
1145#121—611no—
1146#121—611no—
1147#121—611no—
1148#121—611no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155#121—1221no—
1156#121—1221no—
1157#121—1221no—
1158#121—1221no—
1159#121—1221no—
1160#121—1221no—
1161#121—1221no—
1162#121—1221no—
1163#121—1221no—
1164#121—1221no—
1165#121—1221no—
1166#121—1221no—
1167#121—1221no—
1168#121C22×D6111yescharacteristic
1169C4×Q8—611no—
1170C4×Q8—611no—
1171C4×Q8—611no—
1172C4×Q8—611no—
1173C4×Q8—611no—
1174C4×Q8—1221no—
1175C4×Q8—1221no—
1176C4×Q8—1221no—
1177C4×Q8—1221no—
1178C4×Q8—1221no—
1179C4×Q8C22×D6111yescharacteristic
1180C4×Q8C22×D6111yescharacteristic
1181C4×Q8C22×D6111yescharacteristic
1182C4×D4—21no—
1183C4×D4—21no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—611no—
1187C4×D4—611no—
1188C4×D4—611no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—611no—
1192C4×D4—611no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4—1221no—
1203C4×D4—1221no—
1204C4×D4—1221no—
1205C4×D4—1221no—
1206C4×D4C22×D6111yescharacteristic
1207C4×D4C22×D6111yescharacteristic
1208C4×D4C22×D6111yescharacteristic
1209#117—21no—
1210#117—611no—
1211#117—611no—
1212#117—611no—
1213#117—611no—
1214#117—611no—
1215#117—611no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221#117—1221no—
1222#117C22×D6111yescharacteristic
1223C2×C4⋊C4—21no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4C22×D6111yescharacteristic
1230C2×C42—611no—
1231C2×C42—1221no—
1232#107—611no—
1233#107—611no—
1234#107—611no—
1235#107—611no—
1236#107—611no—
1237#107—611no—
1238#107—611no—
1239#107—611no—
1240#107C22×D6111yescharacteristic
1241#107C22×D6111yescharacteristic
1242#107C22×D6111yescharacteristic
1243#107C22×D6111yescharacteristic
1244#106—611no—
1245#106—611no—
1246#106—611no—
1247#106—611no—
1248#106—611no—
1249#106—611no—
1250#106—611no—
1251#106—611no—
1252#106—611no—
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256C4⋊C8—611no—
1257C4⋊C8—611no—
1258C4⋊C8—611no—
1259C4⋊C8—611no—
1260C4⋊C8—611no—
1261C4⋊C8—611no—
1262C4⋊C8—611no—
1263C4⋊C8—611no—
1264C4⋊C8C22×D6111yescharacteristic
1265C4⋊C8C22×D6111yescharacteristic
1266#103—611no—
1267#103—611no—
1268#103—611no—
1269#103—611no—
1270#103—611no—
1271#103—611no—
1272#103C22×D6111yescharacteristic
1273#103C22×D6111yescharacteristic
1274#103C22×D6111yescharacteristic
1275#103C22×D6111yescharacteristic
1276#102—611no—
1277#102—611no—
1278#102—611no—
1279#102—611no—
1280#102—611no—
1281#102—611no—
1282#102—611no—
1283#102—611no—
1284#102—611no—
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102C22×D6111yescharacteristic
1295#102C22×D6111yescharacteristic
1296#102C22×D6111yescharacteristic
1297#102C22×D6111yescharacteristic
1298C22⋊C8—611no—
1299C22⋊C8—611no—
1300C22⋊C8—611no—
1301C22⋊C8—611no—
1302C22⋊C8C22×D6111yescharacteristic
1303C22⋊C8C22×D6111yescharacteristic
1304#97—611no—
1305#97—611no—
1306#97—611no—
1307#97C22×D6111yescharacteristic
1308C4×C8—611no—
1309C4×C8C22×D6111yescharacteristic
1310#41—22no—
1311#41—41no—
1312#41—1222no—
1313#41—1222no—
1314#41—4882no—
1315#41—4882no—
1316#41—4882no—
1317#41—2441no—
1318#41—2441no—
1319C2×Q8—21no—
1320C2×Q8—611no—
1321C2×Q8—1221no—
1322C2×Q8—1221no—
1323C2×Q8—1221no—
1324C2×Q8—1221no—
1325C2×Q8C23×D6111yescharacteristic
1326C2×Q8C23×D6111yescharacteristic
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—611no—
1330C2×D4—611no—
1331C2×D4—611no—
1332C2×D4—611no—
1333C2×D4—611no—
1334C2×D4—1221no—
1335C2×D4—1221no—
1336C2×D4—1221no—
1337C2×D4—1221no—
1338C2×D4—1221no—
1339C2×D4—1221no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4C23×D6111yescharacteristic
1351C2×D4C23×D6111yescharacteristic
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—611no—
1358C22×C4—611no—
1359C22×C4—611no—
1360C22×C4—611no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4—1221no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4—1221no—
1369C22×C4—1221no—
1370C22×C4—1221no—
1371C22×C4—1221no—
1372C22×C4C23×D6111yescharacteristic
1373Q16—22no—
1374SD16—22no—
1375SD16—41no—
1376SD16—2441no—
1377SD16—2441no—
1378D8—41no—
1379D8—2441no—
1380D8—2441no—
1381M16—2441no—
1382M16—2441no—
1383C2×C8—611no—
1384C2×C8—611no—
1385C2×C8—611no—
1386C2×C8—611no—
1387C2×C8—2441no—
1388C2×C8—2441no—
1389C2×C8—2441no—
1390C2×C8—2441no—
1391C2×C8C23×D6111yescharacteristic
1392C2×C8C23×D6111yescharacteristic
1393C2×C8C23×D6111yescharacteristic
1394C2×C8C23×D6111yescharacteristic
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—611no—
1402C4⋊C4—611no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—611no—
1409C4⋊C4—611no—
1410C4⋊C4—611no—
1411C4⋊C4—611no—
1412C4⋊C4—611no—
1413C4⋊C4—611no—
1414C4⋊C4—611no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4D4×D6111yescharacteristic
1443C4⋊C4D4×D6111yescharacteristic
1444C4⋊C4C23×D6111yescharacteristic
1445C4⋊C4C23×D6111yescharacteristic
1446C4⋊C4C23×D6111yescharacteristic
1447C4⋊C4C23×D6111yescharacteristic
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—611no—
1456C22⋊C4—611no—
1457C22⋊C4—611no—
1458C22⋊C4—611no—
1459C22⋊C4—611no—
1460C22⋊C4—611no—
1461C22⋊C4—611no—
1462C22⋊C4—611no—
1463C22⋊C4—1221no—
1464C22⋊C4—1221no—
1465C22⋊C4—1221no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4D4×D6111yescharacteristic
1485C22⋊C4D4×D6111yescharacteristic
1486C42—21no—
1487C42—21no—
1488C42—21no—
1489C42—611no—
1490C42—611no—
1491C42—611no—
1492C42—611no—
1493C42—1221no—
1494C42—1221no—
1495C42—1221no—
1496C42—1221no—
1497C42—1221no—
1498C42—1221no—
1499C42—1221no—
1500C42—1221no—
1501C42—1221no—
1502C42C23×D6111yescharacteristic
1503C42C23×D6111yescharacteristic
1504C23—21no—
1505C23—21no—
1506C23—611no—
1507C23—611no—
1508C23—1221no—
1509C23—1221no—
1510C23C2×D4×D6111yescharacteristic
1511Q8—21no—
1512Q8—21no—
1513Q8—21no—
1514Q8—81no—
1515Q8—4881no—
1516Q8—4881no—
1517Q8—4881no—
1518Q8—2441no—
1519Q8—2442no—
1520Q8#1451982412yes—
1521D4—21no—
1522D4—21no—
1523D4—21no—
1524D4—21no—
1525D4—42no—
1526D4—81no—
1527D4—1221no—
1528D4—1221no—
1529D4—1221no—
1530D4—1221no—
1531D4—4881no—
1532D4—4881no—
1533D4—4881no—
1534D4—4881no—
1535D4—4881no—
1536D4—4881no—
1537D4—4881no—
1538D4—4881no—
1539D4—4881no—
1540D4—4881no—
1541D4—4881no—
1542D4—4881no—
1543D4—4881no—
1544D4—2441no—
1545D4—2442no—
1546D4—2442no—
1547D4—2441no—
1548D4—2441no—
1549D4—2442no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—42no—
1559C2×C4—81no—
1560C2×C4—81no—
1561C2×C4—81no—
1562C2×C4—81no—
1563C2×C4—611no—
1564C2×C4—611no—
1565C2×C4—611no—
1566C2×C4—611no—
1567C2×C4—611no—
1568C2×C4—611no—
1569C2×C4—1221no—
1570C2×C4—1221no—
1571C2×C4—1221no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—4881no—
1580C2×C4—4881no—
1581C2×C4—4881no—
1582C2×C4—4881no—
1583C2×C4—4881no—
1584C2×C4—4881no—
1585C2×C4—4881no—
1586C2×C4—4881no—
1587C2×C4—2441no—
1588C2×C4—2441no—
1589C2×C4—2442no—
1590C2×C4—2442no—
1591C2×C4—2442no—
1592C2×C4C2×D4×D6111yescharacteristic
1593C2×C4C2×D4×D6111yescharacteristic
1594C2×C4C2×D4×D6111yescharacteristic
1595C2×C4C2×D4×D6111yescharacteristic
1596C2×C4C2×D4×D6111yescharacteristic
1597C2×C4C24×D6111yescharacteristic
1598C8—21no—
1599C8—21no—
1600C8—21no—
1601C8—21no—
1602C8—1221no—
1603C8—1221no—
1604C8—1221no—
1605C8—1221no—
1606C22—21no—
1607C22—21no—
1608C22—21no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—1221no—
1616C22—1221no—
1617C22—1221no—
1618C22—1221no—
1619C22—1221no—
1620C22—1221no—
1621C22—2441no—
1622C22—2441no—
1623C22—2441no—
1624C22—2441no—
1625C22—2441no—
1626C22—2441no—
1627C22C22×D4×D6111yescharacteristic
1628C4—21no—
1629C4—22no—
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—1221no—
1640C4—1221no—
1641C4—1221no—
1642C4—1221no—
1643C4—1221no—
1644C4—1221no—
1645C4—2441no—
1646C4—2441no—
1647C4—2441no—
1648C4—2441no—
1649C4—2441no—
1650C4—2441no—
1651C4C2×#1451982411yescharacteristic
1652C4#1684059811yescharacteristic
1653C2—41no—
1654C2—81no—
1655C2—81no—
1656C2—4881no—
1657C2—4881no—
1658C2—2441no—
1659C2—2441no—
1660C2#2145949111yescharacteristic
1661C2#2146058911yescharacteristic
1662C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3124C2
socleC22×C61C23×D4
hypercenter#3124D61
hypocenterC61#62162
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3124

Complements

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

NH ≅ G/Ntype
1. #21460470C2semidirect
2. #21459819C2semidirect
3. #21458784C2semidirect
4. #21458769C2semidirect
5. #21458549C2semidirect
6. #21458524C2semidirect
7. #21458369C2semidirect
8. #21458322C2semidirect
9. #21458293C2semidirect
10. #21458262C2semidirect
11. #21458223C2semidirect
12. #21458196C2semidirect
13. #21457949C2semidirect
14. #21457938C2semidirect
15. #21457830C2semidirect
16. #21457818C2semidirect
17. #21457762C2semidirect
18. #21457760C2semidirect
19. #21457230C2semidirect
20. #21457227C2semidirect
21. #21457142C2semidirect
22. #21457079C2semidirect
23. #21457074C2semidirect
24. #21457016C2semidirect
25. #21456095C2semidirect
26. #21455927C2semidirect
27. #21455681C2semidirect
28. #21455667C2semidirect
29. #21455610C2semidirect
30. #21454953C2semidirect
31. C61×#3124C2semidirect
847. #3124D61semidirect
1034. C61#62162semidirect

Maximal subgroups

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

subgroupindex
#214604702
#214598192
#214587842
#214587692
#214585492
#214585242
#214583692
#214583222
#214582932
#214582622
#214582232
#214581962
#214579492
#214579382
#214578302
#214578182
#214577622
#214577602
#214572302
#214572272
#214571422
#214570792
#214570742
#214570162
#214560952
#214559272
#214556812
#214556672
#214556102
#214549532
C61×#31242
#6216261