Finite Group Databasebeta

← #30564647

Subgroups — #30564647

Order 15616.

1820 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459855C211yesmaximal, characteristic, complemented
2#21459827C211yesmaximal, characteristic, complemented
3#21458804C211yesmaximal, characteristic, complemented
4SD16×Dic122C211yesmaximal, characteristic, complemented
5#21458554C211yesmaximal, characteristic, complemented
6#21458532C211yesmaximal, characteristic, complemented
7#21458435C211yesmaximal, characteristic, complemented
8#21458429C211yesmaximal, characteristic, complemented
9#21458409C211yesmaximal, characteristic, complemented
10#21457930C211yesmaximal, characteristic, complemented
11#21457923C211yesmaximal, characteristic, complemented
12#21457855C211yesmaximal, characteristic, complemented
13#21457848C211yesmaximal, characteristic, complemented
14#21457740C211yesmaximal, characteristic, complemented
15#21457677C211yesmaximal, characteristic, complemented
16#21457459C211yesmaximal, characteristic, complemented
17#21457450C211yesmaximal, characteristic, complemented
18#21456559C211yesmaximal, characteristic, complemented
19#21456433C211yesmaximal, characteristic, complemented
20#21456431C211yesmaximal, characteristic, complemented
21#21456097C211yesmaximal, characteristic, complemented
22#21456093C211yesmaximal, characteristic, complemented
23#21456047C211yesmaximal, characteristic, complemented
24#21456041C211yesmaximal, characteristic, complemented
25#21455883C211yesmaximal, characteristic, complemented
26#21455822C211yesmaximal, characteristic, complemented
27#21454818C211yesmaximal, characteristic, complemented
28#21454663C211yesmaximal, characteristic, complemented
29#21454655C211yesmaximal, characteristic, complemented
30AGL(1,ℤ/8)×Dic61C211yesmaximal, characteristic, complemented
31C61×#3275C211yesmaximal, characteristic, complemented
32C2×#14519806C2211yescharacteristic
33Q8×Dic122C2211yescharacteristic, complemented
34#16840483—21no—
35#16840483C2211yescharacteristic
36#16840482—21no—
37#16840482C2211yescharacteristic
38#16840481—21no—
39#16840481C2211yescharacteristic
40#16840481C2211yescharacteristic, complemented
41#16840476—21no—
42#16840476C2211yescharacteristic, complemented
43#16840470C2211yescharacteristic
44#16840469C2211yescharacteristic
45#16840449—21no—
46#16840443—21no—
47#16840438—21no—
48D4×Dic122C2211yescharacteristic
49Q8×C22⋊D61C2211yescharacteristic, complemented
50#16840419C2211yescharacteristic
51#16840418—21no—
52#16840412C2211yescharacteristic
53#16840411C2211yescharacteristic
54#16840406C2211yescharacteristic
55#16840381—21no—
56#16840381C2211yescharacteristic
57#16840381C2211yescharacteristic, complemented
58#16840379—21no—
59#16840379C2211yescharacteristic
60#16840379C2211yescharacteristic, complemented
61#16840357—21no—
62#16840356—21no—
63#16840314—21no—
64#16840314C2211yescharacteristic
65#16840314C2211yescharacteristic
66#16840292—21no—
67#16840292C2211yescharacteristic
68#16840268—21no—
69C2×#14519754—21no—
70#16840245C2211yescharacteristic
71#16840241C2211yescharacteristic
72#16840240C2211yescharacteristic, complemented
73#16840238C2211yescharacteristic, complemented
74#41×Dic61C2211yescharacteristic
75C2×D4×Dic61C2211yescharacteristic
76#16840160C2211yescharacteristic, complemented
77#16840159C2211yescharacteristic, complemented
78#16840159C2211yescharacteristic, complemented
79#16840145C2211yescharacteristic
80#16840140C2211yescharacteristic, complemented
81#16840121C2211yescharacteristic
82#16840121C2211yescharacteristic, complemented
83#16840120C2211yescharacteristic
84#16840120C2211yescharacteristic, complemented
85#16840111C2211yescharacteristic, complemented
86#16840111C2211yescharacteristic, complemented
87#16840104C2211yescharacteristic
88#16840104C2211yescharacteristic, complemented
89#16840102C2211yescharacteristic, complemented
90#16840100C2211yescharacteristic
91#16840093C2211yescharacteristic
92#16840093C2211yescharacteristic, complemented
93#16840091C2211yescharacteristic, complemented
94#16840090C2211yescharacteristic
95#16840084C2211yescharacteristic
96#16840083C2211yescharacteristic
97#16840079C2211yescharacteristic, complemented
98#16840078C2211yescharacteristic, complemented
99#16840058C2211yescharacteristic, complemented
100#16840055C2211yescharacteristic, complemented
101#16840052C2211yescharacteristic
102#16840050C2211yescharacteristic
103#16840050C2211yescharacteristic
104#16840050C2211yescharacteristic
105#16840048C2211yescharacteristic, complemented
106#16840047C2211yescharacteristic, complemented
107#16840045C2211yescharacteristic, complemented
108#16840045C2211yescharacteristic, complemented
109#16840045C2211yescharacteristic, complemented
110#16840040C2211yescharacteristic, complemented
111#16840020C2211yescharacteristic
112#16840020C2211yescharacteristic, complemented
113#16840018C2211yescharacteristic
114#16840018C2211yescharacteristic
115#16840017C2211yescharacteristic, complemented
116#16840012C2211yescharacteristic
117#16839989C2211yescharacteristic
118#16839989C2211yescharacteristic, complemented
119#16839988C2211yescharacteristic
120#16839988C2211yescharacteristic, complemented
121#16839982C2211yescharacteristic
122#16839982C2211yescharacteristic
123#16839982C2211yescharacteristic, complemented
124#16839981C2211yescharacteristic
125#16839981C2211yescharacteristic, complemented
126#16839975C2211yescharacteristic
127#16839970C2211yescharacteristic, complemented
128#16839965C2211yescharacteristic
129#16839965C2211yescharacteristic
130#16839965C2211yescharacteristic, complemented
131#16839924C2211yescharacteristic
132#16839924C2211yescharacteristic
133#16839921C2211yescharacteristic
134#16839918C2211yescharacteristic, complemented
135#16839916C2211yescharacteristic, complemented
136#16839913C2211yescharacteristic
137#16839904C2211yescharacteristic
138#16839899C2211yescharacteristic
139#16839891C2211yescharacteristic, complemented
140C8×Dic122C2211yescharacteristic, complemented
141#16839874C2211yescharacteristic
142#16839874C2211yescharacteristic
143#16839869C2211yescharacteristic, complemented
144#16839869C2211yescharacteristic, complemented
145#16839868C2211yescharacteristic, complemented
146#16839867C2211yescharacteristic, complemented
147#16839866C2211yescharacteristic, complemented
148#16839866C2211yescharacteristic, complemented
149#16839863C2211yescharacteristic
150#16839863C2211yescharacteristic
151#16839863C2211yescharacteristic
152#16839862C2211yescharacteristic
153C4×Dic244C2211yescharacteristic, complemented
154Q16×Dic61C2211yescharacteristic, complemented
155Q16×Dic61C2211yescharacteristic, complemented
156#16839854C2211yescharacteristic, complemented
157#16839853C2211yescharacteristic
158#16839853C2211yescharacteristic
159#16839853C2211yescharacteristic, complemented
160SD16×Dic61C2211yescharacteristic
161SD16×Dic61C2211yescharacteristic
162SD16×Dic61C2211yescharacteristic
163SD16×Dic61C2211yescharacteristic
164SD16×Dic61C2211yescharacteristic
165SD16×Dic61C2211yescharacteristic, complemented
166D8×Dic61C2211yescharacteristic
167D8×Dic61C2211yescharacteristic
168#16839838C2211yescharacteristic
169#16839838C2211yescharacteristic, complemented
170#16839836C2211yescharacteristic
171#16839834C2211yescharacteristic
172#16839825C2211yescharacteristic, complemented
173#16839822C2211yescharacteristic, complemented
174#16839820C2211yescharacteristic, complemented
175#16839812C2211yescharacteristic
176#16839804C2211yescharacteristic
177#16839804C2211yescharacteristic, complemented
178#16839801C2211yescharacteristic, complemented
179#16839767C2211yescharacteristic
180#16839763C2211yescharacteristic
181#16839758C2211yescharacteristic
182#16839755C2211yescharacteristic
183C2×#14519701C2211yescharacteristic, complemented
184#103×D61C2211yescharacteristic, complemented
185#16839720C2211yescharacteristic, complemented
186#16839716C2211yescharacteristic, complemented
187M16×Dic61C2211yescharacteristic
188C2×#137×C61C2211yescharacteristic
189C2×AGL(1,ℤ/8)×C61C2211yescharacteristic
190C61×#548C2211yescharacteristic
191C61×#546C2211yescharacteristic
192C61×#495C2211yescharacteristic
193C61×#470C2211yescharacteristic
194C61×#469C2211yescharacteristic
195C61×#464C2211yescharacteristic
196C61×#463C2211yescharacteristic
197C61×#452C2211yescharacteristic
198C61×#450C2211yescharacteristic
199C61×#449C2211yescharacteristic
200C61×#448C2211yescharacteristic
201C4×SD16×C61C2211yescharacteristic
202C61×#436C2211yescharacteristic
203C2×#11758224—21no—
204C2×#11758224C2311yescharacteristic
205C22×Dic122—21no—
206C2×Q8×D61C2311yescharacteristic
207C23×Dic61—21no—
208#14519806—24no—
209C2×Dic244C2311yescharacteristic
210C2×#11758202C2311yescharacteristic
211C2×#11758202C2311yescharacteristic
212C2×#11758202C2311yescharacteristic
213C2×#11758200C2311yescharacteristic
214C2×#11758200C2311yescharacteristic
215C2×#11758200C2311yescharacteristic
216C2×#11758194C2311yescharacteristic
217C2×#11758189C2311yescharacteristic
218C22×#92418C2311yescharacteristic
219C2×C8×D61C2311yescharacteristic
220#14519777—21no—
221#14519777C2311yescharacteristic
222#14519777C2311yescharacteristic
223#14519776—21no—
224#14519776—21no—
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519775—21no—
230#14519775C2311yescharacteristic
231#14519775C2311yescharacteristic
232#14519772—21no—
233#14519772D411yescharacteristic
234#14519770—21no—
235#14519770—21no—
236#14519770—21no—
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519770—21no—
242#14519770—21no—
243#14519770—21no—
244#14519770—21no—
245#14519770D411yescharacteristic
246#14519768—21no—
247#14519767—21no—
248#14519767—21no—
249#14519767—21no—
250#14519767D411yescharacteristic
251#14519764—21no—
252#14519764—21no—
253#14519764—21no—
254#14519764—21no—
255#14519764—21no—
256#14519764C2311yescharacteristic
257#14519764C2311yescharacteristic
258#14519763—21no—
259#14519763—21no—
260#14519763—21no—
261#14519763—21no—
262#14519763D411yescharacteristic
263#14519761—21no—
264#14519761—21no—
265#14519761D411yescharacteristic
266#14519760—21no—
267#14519759—21no—
268#14519758—21no—
269#14519758—21no—
270#14519758—21no—
271#14519758—21no—
272#14519758—21no—
273#14519758D411yescharacteristic
274#14519757—21no—
275#14519756—21no—
276#14519756—21no—
277#14519756—21no—
278#14519756C2311yescharacteristic
279#14519756C2311yescharacteristic
280#14519756C2311yescharacteristic
281#14519756C2311yescharacteristic
282#14519754—21no—
283#14519754—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#14519754—21no—
294#14519754—21no—
295#14519754—21no—
296#14519754D411yescharacteristic
297#14519753—21no—
298#14519753C2311yescharacteristic
299#14519753C2311yescharacteristic
300#14519749—21no—
301#14519749—21no—
302#14519749—21no—
303#14519749D411yescharacteristic
304#14519748—21no—
305#14519748C2311yescharacteristic
306#14519748C2311yescharacteristic
307#14519746—21no—
308Q8×Dic61—21no—
309Q8×Dic61—21no—
310Q8×Dic61C2311yescharacteristic
311Q8×Dic61C2311yescharacteristic
312Q8×Dic61C2311yescharacteristic
313Q8×Dic61C2311yescharacteristic
314Q8×Dic61C2311yescharacteristic
315Q8×Dic61C2311yescharacteristic
316Q8×Dic61C2311yescharacteristic
317C4×Dic122—21no—
318C4×Dic122—21no—
319C4×Dic122C2311yescharacteristic
320C4×Dic122C2311yescharacteristic
321C4×Dic122C2311yescharacteristic
322#14519742—21no—
323#14519742—21no—
324#14519742—21no—
325#14519742—21no—
326#14519742—21no—
327#14519742C2311yescharacteristic
328#14519742C2311yescharacteristic
329D4×Dic61—21no—
330D4×Dic61—21no—
331D4×Dic61—21no—
332D4×Dic61—21no—
333D4×Dic61—21no—
334D4×Dic61—21no—
335D4×Dic61—21no—
336D4×Dic61C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340D4×Dic61C2311yescharacteristic
341D4×Dic61C2311yescharacteristic
342D4×Dic61C2311yescharacteristic
343C4×C22⋊D61—21no—
344C4×C22⋊D61—21no—
345C4×C22⋊D61—21no—
346C4×C22⋊D61C2311yescharacteristic
347C4×C22⋊D61C2311yescharacteristic
348#14519737—21no—
349#14519737—21no—
350#14519736—21no—
351#14519736—21no—
352#14519736—21no—
353#14519736—21no—
354#14519736C2311yescharacteristic
355#14519736C2311yescharacteristic
356#14519736C2311yescharacteristic
357#14519735—21no—
358#14519735C2311yescharacteristic
359#14519734—21no—
360#14519734C2311yescharacteristic
361#14519733—21no—
362#14519733—21no—
363#14519733—21no—
364#14519733—21no—
365#14519733—21no—
366#14519733—21no—
367C2×C4⋊Dic61—21no—
368C2×C4⋊Dic61C2311yescharacteristic
369C2×C4⋊Dic61C2311yescharacteristic
370C2×#11758196—21no—
371C2×#11758196—21no—
372C4⋊C4×D61C2311yescharacteristic
373C2×C22⋊Dic61—21no—
374C2×C22⋊Dic61—21no—
375C2×C4×Dic61—21no—
376C2×C4×Dic61C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519711C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519709C2311yescharacteristic
382#14519709C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392C4⋊#92418C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519702C2311yescharacteristic
398#14519702C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423C22⋊#92418C2311yescharacteristic
424C22⋊#92418C2311yescharacteristic
425#14519689C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519688C2311yescharacteristic
428#14519687C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431C8×Dic61C2311yescharacteristic
432C8×Dic61C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C2×#41×C61C2311yescharacteristic
437C2×#41×C61C2311yescharacteristic
438C22×Q8×C61C2311yescharacteristic
439C22×D4×C61C2311yescharacteristic
440#137×C61—24no—
441AGL(1,ℤ/8)×C61—24no—
442C2×Q16×C61C2311yescharacteristic
443C2×Q16×C61C2311yescharacteristic
444C2×SD16×C61C2311yescharacteristic
445C2×SD16×C61C2311yescharacteristic
446C2×SD16×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×D8×C61C2311yescharacteristic
450C2×D8×C61C2311yescharacteristic
451C2×M16×C61C2311yescharacteristic
452C2×M16×C61C2311yescharacteristic
453#124×C61—21no—
454#124×C61C2311yescharacteristic
455#124×C61C2311yescharacteristic
456#123×C61—21no—
457C22⋊Q8×C61—21no—
458C22⋊Q8×C61C2311yescharacteristic
459C22⋊Q8×C61C2311yescharacteristic
460#121×C61—21no—
461#121×C61—21no—
462#121×C61C2311yescharacteristic
463#121×C61C2311yescharacteristic
464#120×C61—21no—
465C4×Q8×C61C2311yescharacteristic
466C4×D4×C61—21no—
467C4×D4×C61C2311yescharacteristic
468C4×D4×C61C2311yescharacteristic
469C2×C22⋊C4×C61—21no—
470#106×C61C2311yescharacteristic
471C4⋊C8×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478C22⋊C8×C61C2311yescharacteristic
479C22⋊C8×C61C2311yescharacteristic
480C4×C8×C61C2311yescharacteristic
481C24×C61—21no—
482#41×C61—22no—
483#41×C61—22no—
484#41×C61—41no—
485#41×C61—41no—
486C2×Q8×C61—21no—
487C2×Q8×C61—22no—
488C2×Q8×C61—41no—
489C2×Q8×C61C2411yescharacteristic
490C2×Q8×C61C2411yescharacteristic
491C2×Q8×C61C2411yescharacteristic
492C2×D4×C61—22no—
493C2×D4×C61—21no—
494C2×D4×C61—21no—
495C2×D4×C61—21no—
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61—41no—
499C2×D4×C61C2×D411yescharacteristic
500C2×D4×C61C2411yescharacteristic
501C2×D4×C61C2411yescharacteristic
502C2×D4×C61C2411yescharacteristic
503C22×C4×C61—21no—
504C22×C4×C61—21no—
505C22×C4×C61—21no—
506C22×C4×C61—21no—
507C22×C4×C61C2411yescharacteristic
508C22×C4×C61C2411yescharacteristic
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61C2×D411yescharacteristic
513C2×C22⋊D61C2×D411yescharacteristic
514C22×Dic61—21no—
515C22×Dic61—21no—
516C22×Dic61—21no—
517C22×Dic61—21no—
518C22×Dic61—21no—
519C22×Dic61—21no—
520C22×Dic61—21no—
521C22×Dic61—21no—
522C22×Dic61—21no—
523C22×Dic61—21no—
524C22×Dic61—82no—
525C22×Dic61C2×D411yescharacteristic
526C22×Dic61C2×D411yescharacteristic
527Q8×D61—22no—
528Q8×D61—41no—
529#11758224—22no—
530#11758224—41no—
531#11758224—82no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61C2411yescharacteristic
535C2×Dic122—21no—
536C2×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122—82no—
543C2×Dic122C2×D411yescharacteristic
544C2×Dic122C2411yescharacteristic
545C2×Dic122C2411yescharacteristic
546Q16×C61—22no—
547Q16×C61—22no—
548SD16×C61—22no—
549SD16×C61—22no—
550SD16×C61—41no—
551SD16×C61—41no—
552SD16×C61#4114yescomplemented
553D8×C61—22no—
554D8×C61—22no—
555M16×C61—22no—
556M16×C61—22no—
557C2×C8×C61C2411yescharacteristic
558C2×C8×C61C2411yescharacteristic
559C2×C8×C61C2411yescharacteristic
560C2×C8×C61C2411yescharacteristic
561C4⋊C4×C61—21no—
562C4⋊C4×C61—21no—
563C4⋊C4×C61—21no—
564C4⋊C4×C61C2×D411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C22⋊C4×C61C2×D411yescharacteristic
577C22⋊C4×C61C2×D411yescharacteristic
578C42×C61—21no—
579C42×C61C2411yescharacteristic
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594C22⋊Dic61—21no—
595C22⋊Dic61—21no—
596C22⋊Dic61—21no—
597C22⋊Dic61—21no—
598C22⋊Dic61—21no—
599C22⋊Dic61C2×D411yescharacteristic
600C22⋊Dic61C2×D411yescharacteristic
601C22⋊Dic61C2×D411yescharacteristic
602C22⋊Dic61C2×D411yescharacteristic
603#11758202—22no—
604#11758202—41no—
605#11758202—41no—
606#11758200—22no—
607#11758200—41no—
608#11758200—41no—
609#11758198—21no—
610#11758198—21no—
611#11758198—21no—
612#11758198C2×D411yescharacteristic
613#11758198C2×D411yescharacteristic
614#11758198C2×D411yescharacteristic
615#11758198C2×D411yescharacteristic
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61—21no—
624C4⋊Dic61—21no—
625C4⋊Dic61—21no—
626C4⋊Dic61—21no—
627C4⋊Dic61C2×D411yescharacteristic
628C4⋊Dic61C2×D411yescharacteristic
629C4⋊Dic61C2×D411yescharacteristic
630C4⋊Dic61C2411yescharacteristic
631C4⋊Dic61C2411yescharacteristic
632C4⋊Dic61C2411yescharacteristic
633C4⋊Dic61C2411yescharacteristic
634C4⋊Dic61C2411yescharacteristic
635C4⋊Dic61C2411yescharacteristic
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652#11758196—21no—
653#11758196—21no—
654#11758196—21no—
655#11758196C2×D411yescharacteristic
656#11758196C2×D411yescharacteristic
657#11758196C2×D411yescharacteristic
658#11758196C2×D411yescharacteristic
659#11758196C2×D411yescharacteristic
660#11758196C2×D411yescharacteristic
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61—21no—
664C4×Dic61—21no—
665C4×Dic61—21no—
666C4×Dic61—21no—
667C4×Dic61—21no—
668C4×Dic61—21no—
669C4×Dic61—21no—
670C4×Dic61—21no—
671C4×Dic61—21no—
672C4×Dic61—21no—
673C4×Dic61—21no—
674C4×Dic61—21no—
675C4×Dic61C2×D411yescharacteristic
676C4×Dic61C2×D411yescharacteristic
677C4×Dic61C2411yescharacteristic
678C4×Dic61C2411yescharacteristic
679C4×Dic61C2411yescharacteristic
680#11758194—41no—
681C2×#92418—41no—
682C2×#92418C2411yescharacteristic
683C2×#92418C2411yescharacteristic
684C2×#92418C2411yescharacteristic
685C2×#92418C2411yescharacteristic
686Dic244—22no—
687#11758189—22no—
688C8×D61—41no—
689C23×C61—21no—
690C23×C61—21no—
691C23×C61—21no—
692C23×C61—42no—
693C23×C61—42no—
694C23×C61—81no—
695C23×C61C22×D411yescharacteristic
696C23×C61C22×D411yescharacteristic
697C22×D61C22×D411yescharacteristic
698Q8×C61—21no—
699Q8×C61—21no—
700Q8×C61—21no—
701Q8×C61—21no—
702Q8×C61—21no—
703Q8×C61—42no—
704Q8×C61C2×#4112yes—
705D4×C61—21no—
706D4×C61—21no—
707D4×C61—21no—
708D4×C61—21no—
709D4×C61—21no—
710D4×C61—41no—
711D4×C61—42no—
712D4×C61—42no—
713D4×C61—42no—
714D4×C61—81no—
715D4×C61—81no—
716D4×C61C2×#4112yes—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—42no—
727C2×C4×C61—42no—
728C2×C4×C61—42no—
729C2×C4×C61—81no—
730C2×C4×C61C22×D411yescharacteristic
731C2×C4×C61C22×D411yescharacteristic
732C2×C4×C61C22×D411yescharacteristic
733C2×C4×C61C22×D411yescharacteristic
734C2×C4×C61C2511yescharacteristic
735C22⋊D61—22no—
736C22⋊D61—41no—
737C22⋊D61—42no—
738C22⋊D61—81no—
739C22⋊D61—81no—
740C2×Dic61—22no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—21no—
744C2×Dic61—21no—
745C2×Dic61—21no—
746C2×Dic61—21no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—41no—
750C2×Dic61—42no—
751C2×Dic61—42no—
752C2×Dic61—42no—
753C2×Dic61—42no—
754C2×Dic61—81no—
755C2×Dic61—81no—
756C2×Dic61—81no—
757C2×Dic61—81no—
758C2×Dic61—81no—
759C2×Dic61—81no—
760C2×Dic61C22×D411yescharacteristic
761C2×Dic61C22×D411yescharacteristic
762C2×Dic61C22×D411yescharacteristic
763C2×Dic61C22×D411yescharacteristic
764C2×Dic61C22×D411yescharacteristic
765C2×Dic61C22×D411yescharacteristic
766C2×Dic61C22×D411yescharacteristic
767C4×D61—21no—
768C4×D61—21no—
769C4×D61—42no—
770C4×D61—81no—
771Dic122—22no—
772Dic122—21no—
773Dic122—21no—
774Dic122—21no—
775Dic122—21no—
776Dic122—42no—
777Dic122—42no—
778Dic122—81no—
779Dic122—81no—
780Dic122—81no—
781Dic122—81no—
782Dic122—81no—
783C8×C61—21no—
784C8×C61—21no—
785C8×C61—21no—
786C8×C61C2×#4112yes—
787#92418—21no—
788#92418—21no—
789#92418—21no—
790#92418—21no—
791#61557—611nomaximal, Sylow
792C22×C61—21no—
793C22×C61—21no—
794C22×C61—22no—
795C22×C61—21no—
796C22×C61—21no—
797C22×C61—21no—
798C22×C61—21no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61—41no—
807C22×C61—84no—
808C22×C61C23×D411yescharacteristic
809C2×D61—21no—
810C2×D61—21no—
811C2×D61—21no—
812C4×C61—21no—
813C4×C61—22no—
814C4×C61—21no—
815C4×C61—21no—
816C4×C61—21no—
817C4×C61—41no—
818C4×C61—41no—
819C4×C61—41no—
820C4×C61—41no—
821C4×C61C22×#4111yescharacteristic
822C4×C61#58511yescharacteristic
823Dic61—21no—
824Dic61—21no—
825Dic61—21no—
826Dic61—21no—
827Dic61—21no—
828Dic61—21no—
829Dic61—41no—
830Dic61—41no—
831Dic61—41no—
832Dic61—41no—
833Dic61—41no—
834Dic61—41no—
835Dic61—41no—
836Dic61—41no—
837Dic61#57712yes—
838#3520—611no—
839#3518—611no—
840#3393—611no—
841Q8×SD16—611no—
842#3369—611no—
843#3367—611no—
844#3356—611no—
845#3356—611no—
846#3354—611no—
847#3316—611no—
848#3316—611no—
849#3311—611no—
850#3311—611no—
851#3303—611no—
852#3298—611no—
853#3276—611no—
854#3275—611no—
855#3275D6111yescharacteristic, complemented
856#3185—611no—
857#3173—611no—
858#3173—611no—
859#3125—611no—
860#3125—611no—
861#3121—611no—
862#3121—611no—
863#3107—611no—
864#3101—611no—
865#2969—611no—
866#2947—611no—
867#2947—611no—
868C4×AGL(1,ℤ/8)—611no—
869C2×C61—41no—
870C2×C61—41no—
871C2×C61—42no—
872C2×C61—81no—
873C2×C61—81no—
874C2×C61D4×#4111yescharacteristic
875C2×C61C2×#57711yescharacteristic
876C2×C61#358611yescharacteristic
877D61—41no—
878C2×#137—611no—
879C2×#137C2×D6111yescharacteristic
880C2×AGL(1,ℤ/8)C2×D6111yescharacteristic
881Q82—611no—
882#556—611no—
883#556—611no—
884#556—611no—
885#556—611no—
886#556—1221no—
887#556—1221no—
888#556—1221no—
889#555—611no—
890#555—1221no—
891#554—611no—
892#554—611no—
893#552—1221no—
894#551—1221no—
895#551—1221no—
896D4×Q8—611no—
897D4×Q8—611no—
898#548—611no—
899#548—1221no—
900#548C2×D6111yescharacteristic
901#547—611no—
902#547—611no—
903#546—611no—
904#546C2×D6111yescharacteristic
905#542—611no—
906#542—611no—
907#542—611no—
908#542—611no—
909#542—1221no—
910#542—1221no—
911#539—1221no—
912#539—1221no—
913#533—611no—
914#533—611no—
915#533—1221no—
916#529—611no—
917#529—1221no—
918#525—1221no—
919C2×C22⋊Q8—1221no—
920#520—611no—
921#520—611no—
922#519—611no—
923#519—611no—
924C4×#41—611no—
925C2×C4×D4—611no—
926#498—611no—
927#498—611no—
928#498—611no—
929#495—611no—
930#495C2×D6111yescharacteristic
931#494—611no—
932#489—611no—
933#489—611no—
934#489—611no—
935#489—611no—
936#487—611no—
937#487—611no—
938#485—611no—
939#485—611no—
940#485—611no—
941#485—611no—
942#483—611no—
943#483—611no—
944#483—611no—
945#483—611no—
946#482—611no—
947#482—611no—
948#481—611no—
949#481—611no—
950#477—611no—
951#477—611no—
952#476—611no—
953#476—611no—
954#476—611no—
955#476—611no—
956#475—611no—
957#475—611no—
958#475—611no—
959#475—611no—
960#475—611no—
961#474—611no—
962#470—611no—
963#470—611no—
964#470—611no—
965#470—611no—
966#470—611no—
967#470C2×D6111yescharacteristic
968#469—611no—
969#469C2×D6111yescharacteristic
970#465—611no—
971#465—611no—
972#465—611no—
973#465—611no—
974#464—611no—
975#464—611no—
976#464—611no—
977#464—611no—
978#464—611no—
979#464C2×D6111yescharacteristic
980#463—611no—
981#463C2×D6111yescharacteristic
982#462—611no—
983#461—611no—
984#461—611no—
985#461—611no—
986#452—611no—
987#452—611no—
988#452—611no—
989#452C2×D6111yescharacteristic
990#451—611no—
991#451—611no—
992#450—611no—
993#450C2×D6111yescharacteristic
994#449—611no—
995#449C2×D6111yescharacteristic
996#448—611no—
997#448C2×D6111yescharacteristic
998#446—611no—
999C8×Q8—611no—
1000#442—611no—
1001#442—611no—
1002#441—611no—
1003#441—611no—
1004#441—611no—
1005#441—611no—
1006#441—611no—
1007#441—611no—
1008#440—611no—
1009#440—611no—
1010#440—611no—
1011#440—611no—
1012C4×Q16—611no—
1013C4×Q16—611no—
1014C4×Q16—611no—
1015C4×Q16—611no—
1016C4×SD16—611no—
1017C4×SD16—611no—
1018C4×SD16—611no—
1019C4×SD16—611no—
1020C4×SD16—611no—
1021C4×SD16—611no—
1022C4×SD16—611no—
1023C4×SD16—611no—
1024C4×SD16—611no—
1025C4×SD16C2×D6111yescharacteristic
1026C4×D8—611no—
1027C4×D8—611no—
1028#436—611no—
1029#436—611no—
1030#436C2×D6111yescharacteristic
1031#435—611no—
1032#435—611no—
1033C8×D4—611no—
1034#433—611no—
1035#433—611no—
1036#431—611no—
1037#428—611no—
1038#428—611no—
1039#428—611no—
1040#418—611no—
1041#417—611no—
1042#416—611no—
1043#416—611no—
1044C2×#103—611no—
1045C2×#103—611no—
1046#405—611no—
1047#405—611no—
1048C4×M16—611no—
1049C61#6155711yescharacteristic, complemented, Sylow
1050C2×#41—611no—
1051C2×#41—1221no—
1052C2×#41C22×D6111yescharacteristic
1053C2×#41C22×D6111yescharacteristic
1054C22×Q8—611no—
1055C22×Q8—1221no—
1056C22×Q8C22×D6111yescharacteristic
1057C22×D4C22×D6111yescharacteristic
1058C23×C4—1221no—
1059#137—24no—
1060#137—1224no—
1061AGL(1,ℤ/8)—24no—
1062C2×Q16—611no—
1063C2×Q16—611no—
1064C2×Q16—611no—
1065C2×Q16—611no—
1066C2×Q16C22×D6111yescharacteristic
1067C2×Q16C22×D6111yescharacteristic
1068C2×SD16—611no—
1069C2×SD16—611no—
1070C2×SD16—611no—
1071C2×SD16C22×D6111yescharacteristic
1072C2×SD16C22×D6111yescharacteristic
1073C2×SD16C22×D6111yescharacteristic
1074C2×SD16C22×D6111yescharacteristic
1075C2×SD16C22×D6111yescharacteristic
1076C2×D8C22×D6111yescharacteristic
1077C2×D8C22×D6111yescharacteristic
1078C2×M16—611no—
1079C2×M16—611no—
1080C2×M16C22×D6111yescharacteristic
1081C2×M16C22×D6111yescharacteristic
1082C22×C8—611no—
1083C22×C8—611no—
1084C4⋊Q8—611no—
1085C4⋊Q8—611no—
1086C4⋊Q8—611no—
1087C4⋊Q8—611no—
1088C4⋊Q8—611no—
1089C4⋊Q8—611no—
1090C4⋊Q8—611no—
1091C4⋊Q8—611no—
1092C4⋊Q8—1221no—
1093C4⋊Q8—1221no—
1094C4⋊Q8—1221no—
1095C4⋊Q8—1221no—
1096#126—611no—
1097#126—611no—
1098#126—1221no—
1099#126—1221no—
1100#126—1221no—
1101#126—1221no—
1102#126—1221no—
1103#126—1221no—
1104#126—1221no—
1105#126—1221no—
1106#126—1221no—
1107#126—1221no—
1108#126—1221no—
1109#126—1221no—
1110#125—611no—
1111#125—1221no—
1112#125—1221no—
1113#125—1221no—
1114#125—1221no—
1115#124—21no—
1116#124—611no—
1117#124—611no—
1118#124—611no—
1119#124—1221no—
1120#124—1221no—
1121#124—1221no—
1122#124—1221no—
1123#124—1221no—
1124#124—1221no—
1125#124—1221no—
1126#124—1221no—
1127#124—1221no—
1128#124C22×D6111yescharacteristic
1129#124C22×D6111yescharacteristic
1130#123—21no—
1131#123—611no—
1132#123—611no—
1133#123—1221no—
1134#123—1221no—
1135#123—1221no—
1136#123—1221no—
1137#123—1221no—
1138#123—1221no—
1139#123—1221no—
1140#123—1221no—
1141#123—1221no—
1142C22⋊Q8—21no—
1143C22⋊Q8—611no—
1144C22⋊Q8—611no—
1145C22⋊Q8—611no—
1146C22⋊Q8—611no—
1147C22⋊Q8—611no—
1148C22⋊Q8—611no—
1149C22⋊Q8—611no—
1150C22⋊Q8—1221no—
1151C22⋊Q8—1221no—
1152C22⋊Q8—1221no—
1153C22⋊Q8—1221no—
1154C22⋊Q8—1221no—
1155C22⋊Q8—1221no—
1156C22⋊Q8—1221no—
1157C22⋊Q8—1221no—
1158C22⋊Q8—1221no—
1159C22⋊Q8—1221no—
1160C22⋊Q8—1221no—
1161C22⋊Q8—1221no—
1162C22⋊Q8—1221no—
1163C22⋊Q8—1221no—
1164C22⋊Q8—1221no—
1165C22⋊Q8—1221no—
1166C22⋊Q8—1221no—
1167C22⋊Q8—1221no—
1168C22⋊Q8—1221no—
1169C22⋊Q8C22×D6111yescharacteristic
1170C22⋊Q8C22×D6111yescharacteristic
1171#121—21no—
1172#121—21no—
1173#121—611no—
1174#121—611no—
1175#121—611no—
1176#121—1221no—
1177#121—1221no—
1178#121—1221no—
1179#121—1221no—
1180#121C22×D6111yescharacteristic
1181#121C22×D6111yescharacteristic
1182#120—21no—
1183#120—1221no—
1184C4×Q8—611no—
1185C4×Q8—611no—
1186C4×Q8—611no—
1187C4×Q8—611no—
1188C4×Q8—611no—
1189C4×Q8—611no—
1190C4×Q8—611no—
1191C4×Q8—611no—
1192C4×Q8—611no—
1193C4×Q8—611no—
1194C4×Q8—611no—
1195C4×Q8—611no—
1196C4×Q8—1221no—
1197C4×Q8—1221no—
1198C4×Q8—1221no—
1199C4×Q8—1221no—
1200C4×Q8—1221no—
1201C4×Q8—1221no—
1202C4×Q8—1221no—
1203C4×Q8—1221no—
1204C4×Q8—1221no—
1205C4×Q8C22×D6111yescharacteristic
1206C4×D4—21no—
1207C4×D4—611no—
1208C4×D4—611no—
1209C4×D4—611no—
1210C4×D4—611no—
1211C4×D4—611no—
1212C4×D4—611no—
1213C4×D4—611no—
1214C4×D4—611no—
1215C4×D4—611no—
1216C4×D4—1221no—
1217C4×D4—1221no—
1218C4×D4—1221no—
1219C4×D4—1221no—
1220C4×D4—1221no—
1221C4×D4—1221no—
1222C4×D4—1221no—
1223C4×D4—1221no—
1224C4×D4—1221no—
1225C4×D4—1221no—
1226C4×D4—1221no—
1227C4×D4—1221no—
1228C4×D4C22×D6111yescharacteristic
1229C4×D4C22×D6111yescharacteristic
1230#117—611no—
1231#117—611no—
1232#117—611no—
1233#117—611no—
1234#117—611no—
1235#117—1221no—
1236#117—1221no—
1237#117—1221no—
1238#117—1221no—
1239#117—1221no—
1240#117—1221no—
1241#117—1221no—
1242#117—1221no—
1243#117—1221no—
1244#117—1221no—
1245#117—1221no—
1246#117—1221no—
1247C2×C4⋊C4—611no—
1248C2×C4⋊C4—611no—
1249C2×C4⋊C4—611no—
1250C2×C4⋊C4—1221no—
1251C2×C4⋊C4—1221no—
1252C2×C4⋊C4—1221no—
1253C2×C22⋊C4—21no—
1254C2×C22⋊C4—1221no—
1255C2×C22⋊C4—1221no—
1256C2×C42—611no—
1257C2×C42—1221no—
1258#107—611no—
1259#107—611no—
1260#107—611no—
1261#107—611no—
1262#106—611no—
1263#106—611no—
1264#106—611no—
1265#106—611no—
1266#106—611no—
1267#106—611no—
1268#106—611no—
1269#106—611no—
1270#106—611no—
1271#106—611no—
1272#106—611no—
1273#106C22×D6111yescharacteristic
1274C4⋊C8—611no—
1275C4⋊C8—611no—
1276C4⋊C8—611no—
1277C4⋊C8—611no—
1278C4⋊C8—611no—
1279C4⋊C8C22×D6111yescharacteristic
1280#103—611no—
1281#103—611no—
1282#103—611no—
1283#103—611no—
1284#103—611no—
1285#103—611no—
1286#103—611no—
1287#103—611no—
1288#103—611no—
1289#103—611no—
1290#103—611no—
1291#103—611no—
1292#103—611no—
1293#103—611no—
1294#103—611no—
1295#103—611no—
1296#103—611no—
1297#103C22×D6111yescharacteristic
1298#103C22×D6111yescharacteristic
1299#103C22×D6111yescharacteristic
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102—611no—
1304#102—611no—
1305#102—611no—
1306#102—611no—
1307#102—611no—
1308#102—611no—
1309#102C22×D6111yescharacteristic
1310#102C22×D6111yescharacteristic
1311#102C22×D6111yescharacteristic
1312C22⋊C8—611no—
1313C22⋊C8—611no—
1314C22⋊C8—611no—
1315C22⋊C8—611no—
1316C22⋊C8C22×D6111yescharacteristic
1317C22⋊C8C22×D6111yescharacteristic
1318#97—611no—
1319#97—611no—
1320#97—611no—
1321#97—611no—
1322C4×C8—611no—
1323C4×C8—611no—
1324C4×C8—611no—
1325C4×C8—611no—
1326C4×C8—611no—
1327C4×C8C22×D6111yescharacteristic
1328C24—21no—
1329#41—22no—
1330#41—22no—
1331#41—41no—
1332#41—41no—
1333#41—1222no—
1334#41—4882no—
1335#41—2441no—
1336C2×Q8—21no—
1337C2×Q8—22no—
1338C2×Q8—41no—
1339C2×Q8—611no—
1340C2×Q8—611no—
1341C2×Q8—611no—
1342C2×Q8—1221no—
1343C2×Q8—1221no—
1344C2×Q8—1221no—
1345C2×Q8—1221no—
1346C2×Q8—1221no—
1347C2×Q8—1221no—
1348C2×Q8—1221no—
1349C2×Q8—1222no—
1350C2×Q8—4882no—
1351C2×Q8—2441no—
1352C2×Q8C23×D6111yescharacteristic
1353C2×Q8C23×D6111yescharacteristic
1354C2×Q8C23×D6111yescharacteristic
1355C2×D4—22no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—41no—
1362C2×D4—611no—
1363C2×D4—611no—
1364C2×D4—1221no—
1365C2×D4—1221no—
1366C2×D4—1221no—
1367C2×D4D4×D6111yescharacteristic
1368C2×D4C23×D6111yescharacteristic
1369C2×D4C23×D6111yescharacteristic
1370C2×D4C23×D6111yescharacteristic
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—611no—
1376C22×C4—611no—
1377C22×C4—611no—
1378C22×C4—1221no—
1379C22×C4—1221no—
1380C22×C4—1221no—
1381C22×C4—1221no—
1382C22×C4—1221no—
1383C22×C4—1221no—
1384C22×C4—1221no—
1385C22×C4—1221no—
1386C22×C4—1221no—
1387C22×C4—1221no—
1388C22×C4—1221no—
1389C22×C4—1221no—
1390C22×C4—4882no—
1391C22×C4C23×D6111yescharacteristic
1392C22×C4C23×D6111yescharacteristic
1393Q16—22no—
1394Q16—22no—
1395Q16—1222no—
1396Q16—1222no—
1397Q16—2441no—
1398Q16—2441no—
1399SD16—22no—
1400SD16—22no—
1401SD16—41no—
1402SD16—41no—
1403SD16—1222no—
1404SD16—2441no—
1405SD16—2441no—
1406SD16#1175822414yescomplemented
1407D8—22no—
1408D8—22no—
1409M16—22no—
1410M16—22no—
1411M16—1222no—
1412M16—2441no—
1413C2×C8—611no—
1414C2×C8—611no—
1415C2×C8—611no—
1416C2×C8—611no—
1417C2×C8—2441no—
1418C2×C8—2441no—
1419C2×C8C23×D6111yescharacteristic
1420C2×C8C23×D6111yescharacteristic
1421C2×C8C23×D6111yescharacteristic
1422C2×C8C23×D6111yescharacteristic
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—611no—
1427C4⋊C4—611no—
1428C4⋊C4—611no—
1429C4⋊C4—611no—
1430C4⋊C4—611no—
1431C4⋊C4—611no—
1432C4⋊C4—611no—
1433C4⋊C4—611no—
1434C4⋊C4—611no—
1435C4⋊C4—611no—
1436C4⋊C4—611no—
1437C4⋊C4—611no—
1438C4⋊C4—611no—
1439C4⋊C4—611no—
1440C4⋊C4—611no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4—1221no—
1457C4⋊C4—1221no—
1458C4⋊C4—1221no—
1459C4⋊C4—1221no—
1460C4⋊C4—1221no—
1461C4⋊C4—1221no—
1462C4⋊C4—1221no—
1463C4⋊C4—1221no—
1464C4⋊C4—1221no—
1465C4⋊C4—1221no—
1466C4⋊C4—1221no—
1467C4⋊C4—1221no—
1468C4⋊C4—1221no—
1469C4⋊C4—1221no—
1470C4⋊C4—1221no—
1471C4⋊C4D4×D6111yescharacteristic
1472C4⋊C4C23×D6111yescharacteristic
1473C4⋊C4C23×D6111yescharacteristic
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—611no—
1484C22⋊C4—611no—
1485C22⋊C4—611no—
1486C22⋊C4—611no—
1487C22⋊C4—611no—
1488C22⋊C4—611no—
1489C22⋊C4—611no—
1490C22⋊C4—611no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C22⋊C4—1221no—
1499C22⋊C4—1221no—
1500C22⋊C4—1221no—
1501C22⋊C4—1221no—
1502C22⋊C4—1221no—
1503C22⋊C4—1221no—
1504C22⋊C4—1221no—
1505C22⋊C4—1221no—
1506C22⋊C4—1221no—
1507C22⋊C4—1221no—
1508C22⋊C4—1221no—
1509C22⋊C4—1221no—
1510C22⋊C4—1221no—
1511C22⋊C4—1221no—
1512C22⋊C4—1221no—
1513C22⋊C4D4×D6111yescharacteristic
1514C22⋊C4D4×D6111yescharacteristic
1515C42—21no—
1516C42—611no—
1517C42—611no—
1518C42—611no—
1519C42—611no—
1520C42—611no—
1521C42—1221no—
1522C42—1221no—
1523C42—1221no—
1524C42—1221no—
1525C42—1221no—
1526C42—1221no—
1527C42—1221no—
1528C42—1221no—
1529C42—1221no—
1530C42—1221no—
1531C42—1221no—
1532C42—1221no—
1533C42—1221no—
1534C42—1221no—
1535C42C23×D6111yescharacteristic
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—42no—
1540C23—42no—
1541C23—81no—
1542C23—611no—
1543C23C2×D4×D6111yescharacteristic
1544C23C2×D4×D6111yescharacteristic
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—21no—
1550Q8—42no—
1551Q8—1222no—
1552Q8—1221no—
1553Q8—1221no—
1554Q8—1221no—
1555Q8—1221no—
1556Q8—4881no—
1557Q8—4881no—
1558Q8—4881no—
1559Q8—4881no—
1560Q8—4881no—
1561Q8—2442no—
1562Q8—2442no—
1563Q8C2×#1175822412yes—
1564D4—21no—
1565D4—21no—
1566D4—21no—
1567D4—21no—
1568D4—21no—
1569D4—41no—
1570D4—42no—
1571D4—42no—
1572D4—42no—
1573D4—81no—
1574D4—81no—
1575D4—1222no—
1576D4—4881no—
1577D4—4881no—
1578D4—2441no—
1579D4—2442no—
1580D4C2×#1175822412yes—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—42no—
1591C2×C4—42no—
1592C2×C4—42no—
1593C2×C4—81no—
1594C2×C4—611no—
1595C2×C4—611no—
1596C2×C4—611no—
1597C2×C4—611no—
1598C2×C4—611no—
1599C2×C4—611no—
1600C2×C4—611no—
1601C2×C4—1222no—
1602C2×C4—1221no—
1603C2×C4—1221no—
1604C2×C4—1221no—
1605C2×C4—1221no—
1606C2×C4—1221no—
1607C2×C4—1221no—
1608C2×C4—1221no—
1609C2×C4—1221no—
1610C2×C4—1221no—
1611C2×C4—1221no—
1612C2×C4—4881no—
1613C2×C4—4881no—
1614C2×C4—4881no—
1615C2×C4—4881no—
1616C2×C4—4881no—
1617C2×C4—4881no—
1618C2×C4—4881no—
1619C2×C4—2442no—
1620C2×C4—2442no—
1621C2×C4—2442no—
1622C2×C4—2442no—
1623C2×C4—2441no—
1624C2×C4—2442no—
1625C2×C4C2×D4×D6111yescharacteristic
1626C2×C4C2×D4×D6111yescharacteristic
1627C2×C4C2×D4×D6111yescharacteristic
1628C2×C4C2×D4×D6111yescharacteristic
1629C2×C4C24×D6111yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—1221no—
1634C8—1221no—
1635C8—1221no—
1636C8—1221no—
1637C8C2×#1175822412yes—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—22no—
1643C22—21no—
1644C22—21no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—84no—
1654C22—1221no—
1655C22—1221no—
1656C22—1221no—
1657C22C22×D4×D6111yescharacteristic
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—22no—
1662C4—21no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—612no—
1668C4—1221no—
1669C4—1221no—
1670C4—1221no—
1671C4—1221no—
1672C4—1221no—
1673C4—1221no—
1674C4—2441no—
1675C4—2441no—
1676C4—2441no—
1677C4—2441no—
1678C4—2441no—
1679C4—2441no—
1680C4—2441no—
1681C4—2441no—
1682C4C22×#1175822411yescharacteristic
1683C4#1684059711yescharacteristic
1684C2—41no—
1685C2—41no—
1686C2—42no—
1687C2—81no—
1688C2—81no—
1689C2—2441no—
1690C2D4×#1175822411yescharacteristic
1691C2#577×D6111yescharacteristic
1692C2#2146060311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3275C2
socleC22×C61C23×D4
hypercenter#3275D61
hypocenterC61#61557
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3275

Complements

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

NH ≅ G/Ntype
1. #21459855C2semidirect
2. #21459827C2semidirect
3. #21458804C2semidirect
4. SD16×Dic122C2semidirect
5. #21458554C2semidirect
6. #21458532C2semidirect
7. #21458435C2semidirect
8. #21458429C2semidirect
9. #21458409C2semidirect
10. #21457930C2semidirect
11. #21457923C2semidirect
12. #21457855C2semidirect
13. #21457848C2semidirect
14. #21457740C2semidirect
15. #21457677C2semidirect
16. #21457459C2semidirect
17. #21457450C2semidirect
18. #21456559C2semidirect
19. #21456433C2semidirect
20. #21456431C2semidirect
21. #21456097C2semidirect
22. #21456093C2semidirect
23. #21456047C2semidirect
24. #21456041C2semidirect
25. #21455883C2semidirect
26. #21455822C2semidirect
27. #21454818C2semidirect
28. #21454663C2semidirect
29. #21454655C2semidirect
30. AGL(1,ℤ/8)×Dic61C2semidirect
31. C61×#3275C2semidirect
33. Q8×Dic122C22semidirect
40. #16840481C22semidirect
42. #16840476C22semidirect
49. Q8×C22⋊D61C22semidirect
57. #16840381C22semidirect
60. #16840379C22semidirect
72. #16840240C22semidirect
73. #16840238C22semidirect
76. #16840160C22semidirect
77. #16840159C22semidirect
78. #16840159C22semidirect
80. #16840140C22semidirect
82. #16840121C22semidirect
84. #16840120C22semidirect
85. #16840111C22semidirect
86. #16840111C22semidirect
88. #16840104C22semidirect
89. #16840102C22semidirect
92. #16840093C22semidirect
93. #16840091C22semidirect
97. #16840079C22semidirect
98. #16840078C22semidirect
99. #16840058C22semidirect
100. #16840055C22semidirect
105. #16840048C22semidirect
106. #16840047C22semidirect
107. #16840045C22semidirect
108. #16840045C22semidirect
109. #16840045C22semidirect
110. #16840040C22semidirect
112. #16840020C22semidirect
115. #16840017C22semidirect
118. #16839989C22semidirect
120. #16839988C22semidirect
123. #16839982C22semidirect
125. #16839981C22semidirect
127. #16839970C22semidirect
130. #16839965C22semidirect
134. #16839918C22semidirect
135. #16839916C22semidirect
139. #16839891C22semidirect
140. C8×Dic122C22semidirect
143. #16839869C22semidirect
144. #16839869C22semidirect
145. #16839868C22semidirect
146. #16839867C22semidirect
147. #16839866C22semidirect
148. #16839866C22semidirect
153. C4×Dic244C22semidirect
154. Q16×Dic61C22semidirect
155. Q16×Dic61C22semidirect
156. #16839854C22semidirect
159. #16839853C22semidirect
165. SD16×Dic61C22semidirect
169. #16839838C22semidirect
172. #16839825C22semidirect
173. #16839822C22semidirect
174. #16839820C22semidirect
177. #16839804C22semidirect
178. #16839801C22semidirect
183. C2×#14519701C22semidirect
184. #103×D61C22semidirect
185. #16839720C22semidirect
186. #16839716C22semidirect
552. SD16×C61#41semidirect
855. #3275D61semidirect
1049. C61#61557semidirect
1406. SD16#11758224semidirect

Maximal subgroups

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

subgroupindex
#214598552
#214598272
#214588042
SD16×Dic1222
#214585542
#214585322
#214584352
#214584292
#214584092
#214579302
#214579232
#214578552
#214578482
#214577402
#214576772
#214574592
#214574502
#214565592
#214564332
#214564312
#214560972
#214560932
#214560472
#214560412
#214558832
#214558222
#214548182
#214546632
#214546552
AGL(1,ℤ/8)×Dic612
C61×#32752
#6155761