Finite Group Databasebeta

← #30575473

Subgroups — #30575473

Order 15616.

1776 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460378C211yesmaximal, characteristic, complemented
2#21459827C211yesmaximal, characteristic, complemented
3#21458901C211yesmaximal, characteristic, complemented
4#21458897C211yesmaximal, characteristic, complemented
5#21458557C211yesmaximal, characteristic, complemented
6#21458554C211yesmaximal, characteristic, complemented
7#21458103C211yesmaximal, characteristic, complemented
8#21458097C211yesmaximal, characteristic, complemented
9#21458009C211yesmaximal, characteristic, complemented
10#21458000C211yesmaximal, characteristic, complemented
11#21457855C211yesmaximal, characteristic, complemented
12#21457848C211yesmaximal, characteristic, complemented
13#21457450C211yesmaximal, characteristic, complemented
14#21457387C211yesmaximal, characteristic, complemented
15#21457385C211yesmaximal, characteristic, complemented
16#21457383C211yesmaximal, characteristic, complemented
17#21457382C211yesmaximal, characteristic, complemented
18#21457289C211yesmaximal, characteristic, complemented
19#21457286C211yesmaximal, characteristic, complemented
20#21457209C211yesmaximal, characteristic, complemented
21#21456924C211yesmaximal, characteristic, complemented
22#21456921C211yesmaximal, characteristic, complemented
23#21456819C211yesmaximal, characteristic, complemented
24#21456044C211yesmaximal, characteristic, complemented
25#21456041C211yesmaximal, characteristic, complemented
26#21455974C211yesmaximal, characteristic, complemented
27#21455351C211yesmaximal, characteristic, complemented
28#21455347C211yesmaximal, characteristic, complemented
29#21455311C211yesmaximal, characteristic, complemented
30#21454983C211yesmaximal, characteristic, complemented
31C61×#3275C211yesmaximal, characteristic, complemented
32C2×#14519807C2211yescharacteristic
33C2×#14519806C2211yescharacteristic
34C22×#11758202C2211yescharacteristic, complemented
35C2×Q16×D61C2211yescharacteristic, complemented
36#16840515—21no—
37#16840507—21no—
38Q8×Dic122C2211yescharacteristic, complemented
39#16840483—21no—
40#16840483C2211yescharacteristic
41#16840482—21no—
42#16840482C2211yescharacteristic
43#16840482C2211yescharacteristic
44#16840481—21no—
45#16840481C2211yescharacteristic
46#16840481C2211yescharacteristic, complemented
47#16840476—21no—
48#16840476C2211yescharacteristic, complemented
49#16840443—21no—
50#16840438—21no—
51D4×Dic122C2211yescharacteristic
52Q8×C22⋊D61C2211yescharacteristic, complemented
53#16840425C2211yescharacteristic
54#16840419C2211yescharacteristic
55#16840419C2211yescharacteristic
56#16840418C2211yescharacteristic
57#16840406C2211yescharacteristic
58#16840388—21no—
59#16840381—21no—
60#16840381C2211yescharacteristic, complemented
61#16840380—21no—
62#16840379—21no—
63#16840379—21no—
64#16840379C2211yescharacteristic
65#16840379C2211yescharacteristic, complemented
66#16840377C2211yescharacteristic
67#16840347—21no—
68#16840333C2211yescharacteristic
69#16840332C2211yescharacteristic
70#16840314—21no—
71#16840314C2211yescharacteristic
72#16840314C2211yescharacteristic
73#16840292—21no—
74#16840292C2211yescharacteristic
75C2×#14519764C2211yescharacteristic
76#16840240C2211yescharacteristic, complemented
77#16840238C2211yescharacteristic, complemented
78#41×Dic61C2211yescharacteristic
79#16840157C2211yescharacteristic, complemented
80#16840153C2211yescharacteristic
81#16840153C2211yescharacteristic
82#16840153C2211yescharacteristic, complemented
83#16840145C2211yescharacteristic
84#16840121C2211yescharacteristic
85#16840120C2211yescharacteristic
86#16840120C2211yescharacteristic
87#16840120C2211yescharacteristic
88#16840113C2211yescharacteristic, complemented
89#16840111C2211yescharacteristic, complemented
90#16840106C2211yescharacteristic, complemented
91#16840104C2211yescharacteristic
92#16840104C2211yescharacteristic, complemented
93#16840100C2211yescharacteristic
94#16840084C2211yescharacteristic
95#16840083C2211yescharacteristic
96#16840055C2211yescharacteristic, complemented
97#16840052C2211yescharacteristic
98#16840050C2211yescharacteristic
99#16840050C2211yescharacteristic, complemented
100#16840048C2211yescharacteristic, complemented
101#16840046C2211yescharacteristic, complemented
102#16840046C2211yescharacteristic, complemented
103#16840046C2211yescharacteristic, complemented
104#16840045C2211yescharacteristic, complemented
105#16840045C2211yescharacteristic, complemented
106#16840020C2211yescharacteristic
107#16840020C2211yescharacteristic, complemented
108#16840019C2211yescharacteristic, complemented
109#16840018C2211yescharacteristic
110#16840018C2211yescharacteristic
111#16840012C2211yescharacteristic
112#16839990C2211yescharacteristic, complemented
113#16839989C2211yescharacteristic
114#16839989C2211yescharacteristic, complemented
115#16839988C2211yescharacteristic
116#16839983C2211yescharacteristic
117#16839983C2211yescharacteristic
118#16839983C2211yescharacteristic, complemented
119#16839982C2211yescharacteristic
120#16839982C2211yescharacteristic
121#16839982C2211yescharacteristic
122#16839982C2211yescharacteristic
123#16839982C2211yescharacteristic
124#16839982C2211yescharacteristic
125#16839982C2211yescharacteristic
126#16839982C2211yescharacteristic
127#16839981C2211yescharacteristic
128#16839981C2211yescharacteristic, complemented
129#16839975C2211yescharacteristic
130#16839975C2211yescharacteristic
131#16839975C2211yescharacteristic
132#16839975C2211yescharacteristic
133#16839975C2211yescharacteristic
134#16839973C2211yescharacteristic, complemented
135#16839972C2211yescharacteristic, complemented
136#16839971C2211yescharacteristic, complemented
137#16839971C2211yescharacteristic, complemented
138#16839970C2211yescharacteristic, complemented
139#16839970C2211yescharacteristic, complemented
140#16839970C2211yescharacteristic, complemented
141#16839970C2211yescharacteristic, complemented
142#16839970C2211yescharacteristic, complemented
143#16839965C2211yescharacteristic, complemented
144#16839924C2211yescharacteristic
145#16839924C2211yescharacteristic
146#16839921C2211yescharacteristic
147#16839920C2211yescharacteristic
148#16839920C2211yescharacteristic, complemented
149#16839919C2211yescharacteristic, complemented
150#16839918C2211yescharacteristic, complemented
151#16839917C2211yescharacteristic
152#16839916C2211yescharacteristic, complemented
153#16839913C2211yescharacteristic
154#16839904C2211yescharacteristic
155#16839900C2211yescharacteristic, complemented
156#16839899C2211yescharacteristic
157#16839899C2211yescharacteristic, complemented
158#16839892C2211yescharacteristic, complemented
159#16839891C2211yescharacteristic, complemented
160#16839869C2211yescharacteristic, complemented
161#16839867C2211yescharacteristic, complemented
162#16839866C2211yescharacteristic, complemented
163#16839866C2211yescharacteristic, complemented
164#16839863C2211yescharacteristic
165#16839863C2211yescharacteristic, complemented
166#16839862C2211yescharacteristic
167#16839859C2211yescharacteristic, complemented
168C4×Dic244C2211yescharacteristic, complemented
169#16839854C2211yescharacteristic, complemented
170SD16×Dic61C2211yescharacteristic
171#16839838C2211yescharacteristic
172#16839836C2211yescharacteristic
173#16839834C2211yescharacteristic
174#16839831C2211yescharacteristic, complemented
175#16839830C2211yescharacteristic, complemented
176#16839821C2211yescharacteristic, complemented
177#16839820C2211yescharacteristic, complemented
178#16839816C2211yescharacteristic
179#16839790C2211yescharacteristic, complemented
180#16839787C2211yescharacteristic, complemented
181#16839785C2211yescharacteristic
182#16839772C2211yescharacteristic
183#16839772C2211yescharacteristic, complemented
184#16839769C2211yescharacteristic, complemented
185#16839767C2211yescharacteristic
186#16839758C2211yescharacteristic
187#16839755C2211yescharacteristic
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×#11758224C2311yescharacteristic
204C22×Dic122C2311yescharacteristic
205C22×Dic122C2311yescharacteristic
206C2×Q8×D61C2311yescharacteristic
207C2×Q8×D61C2311yescharacteristic
208#14519807—42no—
209#14519806—42no—
210C2×Dic244C2311yescharacteristic
211C2×Dic244C2311yescharacteristic
212C2×Dic244C2311yescharacteristic
213C2×#11758202—42no—
214C2×#11758202C2311yescharacteristic
215C2×#11758202C2311yescharacteristic
216C2×#11758202C2311yescharacteristic
217C2×#11758202C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758202C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221Q16×D61—42no—
222C2×#11758200C2311yescharacteristic
223C2×#11758200C2311yescharacteristic
224C2×#11758200C2311yescharacteristic
225C2×#11758200C2311yescharacteristic
226C2×#11758200C2311yescharacteristic
227C2×#11758194C2311yescharacteristic
228C2×#11758189C2311yescharacteristic
229C22×#92418C2311yescharacteristic
230C2×C8×D61C2311yescharacteristic
231#14519777—21no—
232#14519777C2311yescharacteristic
233#14519777C2311yescharacteristic
234#14519776—21no—
235#14519776—21no—
236#14519776—21no—
237#14519776—21no—
238#14519776C2311yescharacteristic
239#14519776C2311yescharacteristic
240#14519776C2311yescharacteristic
241#14519775—21no—
242#14519775C2311yescharacteristic
243#14519775C2311yescharacteristic
244#14519775C2311yescharacteristic
245#14519772—21no—
246#14519772D411yescharacteristic
247#14519770—21no—
248#14519770—21no—
249#14519770—21no—
250#14519770—21no—
251#14519770—21no—
252#14519770—21no—
253#14519770—21no—
254#14519770—21no—
255#14519770—21no—
256#14519770—21no—
257#14519770—21no—
258#14519770—21no—
259#14519770—21no—
260#14519770D411yescharacteristic
261#14519767—21no—
262#14519767—21no—
263#14519767D411yescharacteristic
264#14519764—21no—
265#14519764—21no—
266#14519764—21no—
267#14519764—21no—
268#14519764—21no—
269#14519764—21no—
270#14519764—21no—
271#14519764—21no—
272#14519764C2311yescharacteristic
273#14519764C2311yescharacteristic
274#14519764C2311yescharacteristic
275#14519764C2311yescharacteristic
276#14519764C2311yescharacteristic
277#14519764C2311yescharacteristic
278#14519763—21no—
279#14519763—21no—
280#14519763—21no—
281#14519763—21no—
282#14519763—21no—
283#14519763D411yescharacteristic
284#14519761—21no—
285#14519761D411yescharacteristic
286#14519760—21no—
287#14519759—21no—
288#14519759—21no—
289#14519758—21no—
290#14519758—21no—
291#14519758—21no—
292#14519758—21no—
293#14519758—21no—
294#14519758D411yescharacteristic
295#14519757C2311yescharacteristic
296#14519756—21no—
297#14519756—21no—
298#14519756—21no—
299#14519756—21no—
300#14519756—21no—
301#14519756—21no—
302#14519756—21no—
303#14519756C2311yescharacteristic
304#14519756C2311yescharacteristic
305#14519756C2311yescharacteristic
306#14519756C2311yescharacteristic
307#14519755—21no—
308#14519754—21no—
309#14519754—21no—
310#14519754—21no—
311#14519754—21no—
312#14519754—21no—
313#14519754—21no—
314#14519754—21no—
315#14519754—21no—
316#14519754—21no—
317#14519754—21no—
318#14519754—21no—
319#14519754—21no—
320#14519754—21no—
321#14519754D411yescharacteristic
322#14519753—21no—
323#14519753C2311yescharacteristic
324#14519749—21no—
325#14519749—21no—
326#14519749—21no—
327#14519749D411yescharacteristic
328#14519748—21no—
329#14519748—21no—
330#14519748C2311yescharacteristic
331#14519748C2311yescharacteristic
332#14519746—21no—
333Q8×Dic61—21no—
334Q8×Dic61—21no—
335Q8×Dic61C2311yescharacteristic
336Q8×Dic61C2311yescharacteristic
337Q8×Dic61C2311yescharacteristic
338Q8×Dic61C2311yescharacteristic
339Q8×Dic61C2311yescharacteristic
340Q8×Dic61C2311yescharacteristic
341C4×Dic122—21no—
342C4×Dic122—21no—
343C4×Dic122C2311yescharacteristic
344C4×Dic122C2311yescharacteristic
345C4×Dic122C2311yescharacteristic
346#14519742—21no—
347#14519742—21no—
348#14519742—21no—
349#14519742—21no—
350#14519742—21no—
351#14519742C2311yescharacteristic
352#14519742C2311yescharacteristic
353#14519742C2311yescharacteristic
354D4×Dic61—21no—
355D4×Dic61—21no—
356D4×Dic61—21no—
357D4×Dic61—21no—
358D4×Dic61C2311yescharacteristic
359D4×Dic61C2311yescharacteristic
360D4×Dic61C2311yescharacteristic
361C4×C22⋊D61—21no—
362C4×C22⋊D61—21no—
363C4×C22⋊D61—21no—
364C4×C22⋊D61C2311yescharacteristic
365C4×C22⋊D61C2311yescharacteristic
366#14519737—21no—
367#14519736—21no—
368#14519736—21no—
369#14519736—21no—
370#14519736—21no—
371#14519736C2311yescharacteristic
372#14519736C2311yescharacteristic
373#14519736C2311yescharacteristic
374#14519735—21no—
375#14519735C2311yescharacteristic
376#14519734—21no—
377#14519734C2311yescharacteristic
378#14519733—21no—
379#14519733—21no—
380#14519733—21no—
381#14519733—21no—
382#14519733—21no—
383C2×C22⋊Dic61—21no—
384C2×C22⋊Dic61—21no—
385C2×C22⋊Dic61—21no—
386C2×C4×Dic61—21no—
387C2×C4×Dic61C2311yescharacteristic
388#14519711C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519709C2311yescharacteristic
391#14519709C2311yescharacteristic
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#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519701C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519698C2311yescharacteristic
430C22⋊#92418C2311yescharacteristic
431C22⋊#92418C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519688C2311yescharacteristic
435#14519687C2311yescharacteristic
436#14519687C2311yescharacteristic
437#14519687C2311yescharacteristic
438C8×Dic61C2311yescharacteristic
439C2×#41×C61C2311yescharacteristic
440C2×#41×C61C2311yescharacteristic
441C22×Q8×C61C2311yescharacteristic
442C22×D4×C61C2311yescharacteristic
443#137×C61—42no—
444AGL(1,ℤ/8)×C61—42no—
445C2×Q16×C61C2311yescharacteristic
446C2×Q16×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×SD16×C61C2311yescharacteristic
450C2×SD16×C61C2311yescharacteristic
451C2×SD16×C61C2311yescharacteristic
452C2×D8×C61C2311yescharacteristic
453C2×D8×C61C2311yescharacteristic
454C2×M16×C61C2311yescharacteristic
455C2×M16×C61C2311yescharacteristic
456#124×C61—21no—
457#124×C61C2311yescharacteristic
458#124×C61C2311yescharacteristic
459#123×C61—21no—
460C22⋊Q8×C61—21no—
461C22⋊Q8×C61C2311yescharacteristic
462C22⋊Q8×C61C2311yescharacteristic
463#121×C61—21no—
464#121×C61—21no—
465#121×C61C2311yescharacteristic
466#121×C61C2311yescharacteristic
467#120×C61—21no—
468C4×Q8×C61C2311yescharacteristic
469C4×D4×C61—21no—
470C4×D4×C61C2311yescharacteristic
471C4×D4×C61C2311yescharacteristic
472C2×C22⋊C4×C61—21no—
473#106×C61C2311yescharacteristic
474C4⋊C8×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482C22⋊C8×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C24×C61—21no—
485#41×C61—22no—
486#41×C61—41no—
487#41×C61—41no—
488#41×C61—41no—
489C2×Q8×C61—21no—
490C2×Q8×C61—22no—
491C2×Q8×C61—41no—
492C2×Q8×C61C2411yescharacteristic
493C2×Q8×C61C2411yescharacteristic
494C2×Q8×C61C2411yescharacteristic
495C2×D4×C61—21no—
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61—41no—
501C2×D4×C61—41no—
502C2×D4×C61C2×D411yescharacteristic
503C2×D4×C61C2411yescharacteristic
504C2×D4×C61C2411yescharacteristic
505C2×D4×C61C2411yescharacteristic
506C22×C4×C61—21no—
507C22×C4×C61—21no—
508C22×C4×C61—21no—
509C22×C4×C61—21no—
510C22×C4×C61C2411yescharacteristic
511C22×C4×C61C2411yescharacteristic
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61C2×D411yescharacteristic
516C2×C22⋊D61C2×D411yescharacteristic
517C22×Dic61—21no—
518C22×Dic61—21no—
519C22×Dic61—21no—
520C22×Dic61—21no—
521C22×Dic61—21no—
522C22×Dic61—21no—
523C22×Dic61C2×D411yescharacteristic
524C22×Dic61C2×D411yescharacteristic
525Q8×D61—22no—
526Q8×D61—41no—
527Q8×D61—41no—
528Q8×D61—41no—
529#11758224—41no—
530#11758224—41no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61C2411yescharacteristic
534C2×Dic122—21no—
535C2×Dic122—21no—
536C2×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122—41no—
543C2×Dic122—41no—
544C2×Dic122—41no—
545C2×Dic122—41no—
546C2×Dic122C2×D411yescharacteristic
547C2×Dic122C2411yescharacteristic
548C2×Dic122C2411yescharacteristic
549C2×Dic122C2411yescharacteristic
550C2×Dic122C2411yescharacteristic
551Q16×C61—22no—
552Q16×C61—41no—
553SD16×C61—22no—
554SD16×C61—22no—
555SD16×C61—41no—
556SD16×C61—41no—
557SD16×C61—41no—
558D8×C61—41no—
559D8×C61—41no—
560M16×C61—41no—
561M16×C61—41no—
562C2×C8×C61C2411yescharacteristic
563C2×C8×C61C2411yescharacteristic
564C2×C8×C61C2411yescharacteristic
565C2×C8×C61C2411yescharacteristic
566C4⋊C4×C61—21no—
567C4⋊C4×C61—21no—
568C4⋊C4×C61—21no—
569C4⋊C4×C61C2×D411yescharacteristic
570C4⋊C4×C61C2411yescharacteristic
571C4⋊C4×C61C2411yescharacteristic
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C22⋊C4×C61—21no—
581C22⋊C4×C61C2×D411yescharacteristic
582C22⋊C4×C61C2×D411yescharacteristic
583C42×C61—21no—
584C42×C61C2411yescharacteristic
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⋊Dic61—21no—
600C22⋊Dic61—21no—
601C22⋊Dic61—21no—
602C22⋊Dic61—21no—
603C22⋊Dic61—21no—
604C22⋊Dic61—21no—
605C22⋊Dic61—21no—
606C22⋊Dic61—21no—
607C22⋊Dic61—21no—
608C22⋊Dic61C2×D411yescharacteristic
609C22⋊Dic61C2×D411yescharacteristic
610C22⋊Dic61C2×D411yescharacteristic
611C22⋊Dic61C2×D411yescharacteristic
612#11758202—22no—
613#11758202—22no—
614#11758202—22no—
615#11758202—41no—
616#11758202—41no—
617#11758202—41no—
618#11758202—41no—
619#11758200—41no—
620#11758200—41no—
621#11758200—41no—
622#11758200—41no—
623#11758200—41no—
624#11758198—21no—
625#11758198—21no—
626#11758198—21no—
627#11758198C2×D411yescharacteristic
628#11758198C2×D411yescharacteristic
629#11758198C2×D411yescharacteristic
630#11758198C2×D411yescharacteristic
631C4⋊Dic61—21no—
632C4⋊Dic61—21no—
633C4⋊Dic61—21no—
634C4⋊Dic61—21no—
635C4⋊Dic61—21no—
636C4⋊Dic61—21no—
637C4⋊Dic61—21no—
638C4⋊Dic61—21no—
639C4⋊Dic61—21no—
640C4⋊Dic61—21no—
641C4⋊Dic61C2×D411yescharacteristic
642C4⋊Dic61C2×D411yescharacteristic
643C4⋊Dic61C2×D411yescharacteristic
644C4⋊Dic61C2411yescharacteristic
645C4⋊Dic61C2411yescharacteristic
646C4⋊Dic61C2411yescharacteristic
647C4⋊Dic61C2411yescharacteristic
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652#11758196—21no—
653#11758196—21no—
654#11758196—21no—
655#11758196—21no—
656#11758196—21no—
657#11758196—21no—
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196C2×D411yescharacteristic
668#11758196C2×D411yescharacteristic
669#11758196C2×D411yescharacteristic
670#11758196C2×D411yescharacteristic
671#11758196C2×D411yescharacteristic
672#11758196C2×D411yescharacteristic
673C4×Dic61—21no—
674C4×Dic61—21no—
675C4×Dic61—21no—
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61—21no—
685C4×Dic61—21no—
686C4×Dic61—21no—
687C4×Dic61C2×D411yescharacteristic
688C4×Dic61C2×D411yescharacteristic
689C4×Dic61C2411yescharacteristic
690C4×Dic61C2411yescharacteristic
691C4×Dic61C2411yescharacteristic
692#11758194—41no—
693C2×#92418—41no—
694C2×#92418C2411yescharacteristic
695C2×#92418C2411yescharacteristic
696C2×#92418C2411yescharacteristic
697C2×#92418C2411yescharacteristic
698Dic244—41no—
699Dic244—41no—
700Dic244—41no—
701#11758189—41no—
702C8×D61—41no—
703C23×C61—21no—
704C23×C61—21no—
705C23×C61—21no—
706C23×C61—42no—
707C23×C61—81no—
708C23×C61—81no—
709C23×C61C22×D411yescharacteristic
710C23×C61C22×D411yescharacteristic
711C22×D61C22×D411yescharacteristic
712Q8×C61—21no—
713Q8×C61—21no—
714Q8×C61—21no—
715Q8×C61—21no—
716Q8×C61—21no—
717Q8×C61—42no—
718Q8×C61H(5,𝔽2)12yes—
719D4×C61—21no—
720D4×C61—21no—
721D4×C61—21no—
722D4×C61—21no—
723D4×C61—21no—
724D4×C61—21no—
725D4×C61—41no—
726D4×C61—42no—
727D4×C61—81no—
728D4×C61—81no—
729D4×C61—81no—
730D4×C61—81no—
731C2×C4×C61—21no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
739C2×C4×C61—21no—
740C2×C4×C61—42no—
741C2×C4×C61—42no—
742C2×C4×C61—81no—
743C2×C4×C61—81no—
744C2×C4×C61C22×D411yescharacteristic
745C2×C4×C61C22×D411yescharacteristic
746C2×C4×C61C22×D411yescharacteristic
747C2×C4×C61C22×D411yescharacteristic
748C2×C4×C61C2511yescharacteristic
749C22⋊D61—41no—
750C22⋊D61—41no—
751C22⋊D61—81no—
752C22⋊D61—81no—
753C22⋊D61—81no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—41no—
763C2×Dic61—41no—
764C2×Dic61—42no—
765C2×Dic61—81no—
766C2×Dic61—81no—
767C2×Dic61—81no—
768C2×Dic61—81no—
769C2×Dic61—81no—
770C2×Dic61C22×D411yescharacteristic
771C2×Dic61C22×D411yescharacteristic
772C2×Dic61C22×D411yescharacteristic
773C2×Dic61C22×D411yescharacteristic
774C2×Dic61C22×D411yescharacteristic
775C2×Dic61C22×D411yescharacteristic
776C2×Dic61C22×D411yescharacteristic
777C4×D61—21no—
778C4×D61—21no—
779C4×D61—42no—
780C4×D61—81no—
781Dic122—21no—
782Dic122—21no—
783Dic122—21no—
784Dic122—21no—
785Dic122—21no—
786Dic122—21no—
787Dic122—21no—
788Dic122—21no—
789Dic122—41no—
790Dic122—42no—
791Dic122—81no—
792Dic122—81no—
793Dic122—81no—
794Dic122—81no—
795Dic122—81no—
796Dic122—81no—
797Dic122—81no—
798C8×C61—21no—
799C8×C61—21no—
800C8×C61—21no—
801C8×C61—21no—
802#92418—21no—
803#92418—21no—
804#92418—21no—
805#92418—21no—
806#62091—611nomaximal, Sylow
807C22×C61—21no—
808C22×C61—21no—
809C22×C61—21no—
810C22×C61—21no—
811C22×C61—21no—
812C22×C61—21no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61—41no—
819C22×C61—41no—
820C22×C61—41no—
821C22×C61—41no—
822C22×C61—162no—
823C22×C61C23×D411yescharacteristic
824C2×D61—21no—
825C2×D61—21no—
826C2×D61—21no—
827C4×C61—21no—
828C4×C61—21no—
829C4×C61—22no—
830C4×C61—21no—
831C4×C61—21no—
832C4×C61—41no—
833C4×C61—41no—
834C4×C61—41no—
835C4×C61—41no—
836C4×C61C2×H(5,𝔽2)11yescharacteristic
837C4×C61#58511yescharacteristic
838Dic61—21no—
839Dic61—21no—
840Dic61—21no—
841Dic61—21no—
842Dic61—21no—
843Dic61—21no—
844Dic61—21no—
845Dic61—41no—
846Dic61—41no—
847Dic61—41no—
848Dic61—41no—
849Dic61—41no—
850Dic61—41no—
851Dic61—41no—
852Dic61—41no—
853#3561—611no—
854#3518—611no—
855#3402—611no—
856#3402—611no—
857#3369—611no—
858#3369—611no—
859#3328—611no—
860#3328—611no—
861#3321—611no—
862#3321—611no—
863#3311—611no—
864#3311—611no—
865#3275—611no—
866#3275D6111yescharacteristic, complemented
867#3270—611no—
868#3270—611no—
869#3270—611no—
870#3270—611no—
871#3263—611no—
872#3263—611no—
873#3255—611no—
874#3225—611no—
875#3225—611no—
876#3215—611no—
877#3121—611no—
878#3121—611no—
879#3116—611no—
880#3044—611no—
881#3044—611no—
882#3040—611no—
883#2995—611no—
884C2×C61—41no—
885C2×C61—41no—
886C2×C61—81no—
887C2×C61—81no—
888C2×C61—81no—
889C2×C61#348811yescharacteristic
890C2×C61#358611yescharacteristic
891C2×C61#358611yescharacteristic
892D61—41no—
893C2×#137—611no—
894C2×#137—611no—
895C2×#137C2×D6111yescharacteristic
896C2×AGL(1,ℤ/8)C2×D6111yescharacteristic
897C22×Q16—611no—
898C22×Q16—611no—
899#563—1221no—
900#562—1221no—
901Q82—611no—
902#556—611no—
903#556—611no—
904#556—611no—
905#556—611no—
906#556—611no—
907#556—1221no—
908#556—1221no—
909#556—1221no—
910#555—611no—
911#555—1221no—
912#551—1221no—
913#551—1221no—
914D4×Q8—611no—
915D4×Q8—611no—
916D4×Q8—611no—
917#548—611no—
918#548—611no—
919#548—611no—
920#548C2×D6111yescharacteristic
921#546—611no—
922#546C2×D6111yescharacteristic
923#543—1221no—
924#542—611no—
925#542—611no—
926#542—611no—
927#542—611no—
928#542—1221no—
929#542—1221no—
930#542—1221no—
931#542—1221no—
932#538—1221no—
933#536—611no—
934#536—611no—
935#533—611no—
936#533—611no—
937#533—1221no—
938#529—611no—
939#529—1221no—
940C2×#124—611no—
941#519—611no—
942#519—611no—
943C4×#41—611no—
944#497—611no—
945#497—611no—
946#497—611no—
947#497—611no—
948#495—611no—
949#495C2×D6111yescharacteristic
950#489—611no—
951#489—611no—
952#489—611no—
953#489—611no—
954#487—611no—
955#487—611no—
956#485—611no—
957#485—611no—
958#485—611no—
959#485—611no—
960#482—611no—
961#482—611no—
962#477—611no—
963#476—611no—
964#476—611no—
965#476—611no—
966#475—611no—
967#475—611no—
968#475—611no—
969#475—611no—
970#475—611no—
971#475—611no—
972#470—611no—
973#470—611no—
974#470—611no—
975#470—611no—
976#470—611no—
977#470C2×D6111yescharacteristic
978#469—611no—
979#469C2×D6111yescharacteristic
980#465—611no—
981#465—611no—
982#465—611no—
983#465—611no—
984#464—611no—
985#464—611no—
986#464—611no—
987#464—611no—
988#464—611no—
989#464—611no—
990#464—611no—
991#464—611no—
992#464—611no—
993#464—611no—
994#464—611no—
995#464—611no—
996#464—611no—
997#464C2×D6111yescharacteristic
998#463—611no—
999#463—611no—
1000#463—611no—
1001#463—611no—
1002#463—611no—
1003#463C2×D6111yescharacteristic
1004#462—611no—
1005#462—611no—
1006#462—611no—
1007#462—611no—
1008#462—611no—
1009#462—611no—
1010#462—611no—
1011#462—611no—
1012#462—611no—
1013#461—611no—
1014#452—611no—
1015#452—611no—
1016#452—611no—
1017#452C2×D6111yescharacteristic
1018#451—611no—
1019#451—611no—
1020#451—611no—
1021#451—611no—
1022#451—611no—
1023#451—611no—
1024#450—611no—
1025#450C2×D6111yescharacteristic
1026#449—611no—
1027#449C2×D6111yescharacteristic
1028#448—611no—
1029#448—611no—
1030#448—611no—
1031#448C2×D6111yescharacteristic
1032#446—611no—
1033#446—611no—
1034#441—611no—
1035#441—611no—
1036#441—611no—
1037#441—611no—
1038#440—611no—
1039#440—611no—
1040#440—611no—
1041#440—611no—
1042C4×Q16—611no—
1043C4×Q16—611no—
1044C4×SD16—611no—
1045C4×SD16C2×D6111yescharacteristic
1046#436—611no—
1047#436C2×D6111yescharacteristic
1048#435—611no—
1049#435—611no—
1050#435—611no—
1051#435—611no—
1052#433—611no—
1053#433—611no—
1054#432—611no—
1055#424—611no—
1056#424—611no—
1057#423—611no—
1058#419—611no—
1059#419—611no—
1060#419—611no—
1061#418—611no—
1062#416—611no—
1063#416—611no—
1064C61#6209111yescharacteristic, complemented, Sylow
1065C2×#41—611no—
1066C2×#41C22×D6111yescharacteristic
1067C2×#41C22×D6111yescharacteristic
1068C22×Q8—611no—
1069C22×Q8—611no—
1070C22×Q8—611no—
1071C22×Q8—611no—
1072C22×Q8C22×D6111yescharacteristic
1073C22×D4C22×D6111yescharacteristic
1074#137—42no—
1075#137—2442no—
1076#137—2442no—
1077AGL(1,ℤ/8)—42no—
1078C2×Q16—611no—
1079C2×Q16—611no—
1080C2×Q16—611no—
1081C2×Q16—611no—
1082C2×Q16—611no—
1083C2×Q16—611no—
1084C2×Q16—611no—
1085C2×Q16—611no—
1086C2×Q16—611no—
1087C2×Q16—611no—
1088C2×Q16—2442no—
1089C2×Q16—2442no—
1090C2×Q16C22×D6111yescharacteristic
1091C2×Q16C22×D6111yescharacteristic
1092C2×SD16—611no—
1093C2×SD16—611no—
1094C2×SD16—611no—
1095C2×SD16—611no—
1096C2×SD16—611no—
1097C2×SD16C22×D6111yescharacteristic
1098C2×SD16C22×D6111yescharacteristic
1099C2×SD16C22×D6111yescharacteristic
1100C2×SD16C22×D6111yescharacteristic
1101C2×SD16C22×D6111yescharacteristic
1102C2×D8C22×D6111yescharacteristic
1103C2×D8C22×D6111yescharacteristic
1104C2×M16—611no—
1105C2×M16—611no—
1106C2×M16C22×D6111yescharacteristic
1107C2×M16C22×D6111yescharacteristic
1108C22×C8—611no—
1109C22×C8—611no—
1110C4⋊Q8—611no—
1111C4⋊Q8—611no—
1112C4⋊Q8—611no—
1113C4⋊Q8—611no—
1114C4⋊Q8—611no—
1115C4⋊Q8—611no—
1116C4⋊Q8—611no—
1117C4⋊Q8—611no—
1118C4⋊Q8—1221no—
1119C4⋊Q8—1221no—
1120C4⋊Q8—1221no—
1121C4⋊Q8—1221no—
1122C4⋊Q8—1221no—
1123C4⋊Q8—1221no—
1124#126—611no—
1125#126—611no—
1126#126—1221no—
1127#126—1221no—
1128#126—1221no—
1129#126—1221no—
1130#126—1221no—
1131#126—1221no—
1132#126—1221no—
1133#126—1221no—
1134#126—1221no—
1135#126—1221no—
1136#126—1221no—
1137#126—1221no—
1138#126—1221no—
1139#126—1221no—
1140#125—611no—
1141#125—1221no—
1142#125—1221no—
1143#124—21no—
1144#124—611no—
1145#124—611no—
1146#124—611no—
1147#124—611no—
1148#124—611no—
1149#124—611no—
1150#124—611no—
1151#124—1221no—
1152#124—1221no—
1153#124—1221no—
1154#124—1221no—
1155#124—1221no—
1156#124—1221no—
1157#124—1221no—
1158#124—1221no—
1159#124—1221no—
1160#124—1221no—
1161#124—1221no—
1162#124—1221no—
1163#124—1221no—
1164#124C22×D6111yescharacteristic
1165#124C22×D6111yescharacteristic
1166#123—21no—
1167#123—611no—
1168#123—611no—
1169#123—1221no—
1170#123—1221no—
1171#123—1221no—
1172#123—1221no—
1173#123—1221no—
1174#123—1221no—
1175#123—1221no—
1176#123—1221no—
1177#123—1221no—
1178C22⋊Q8—21no—
1179C22⋊Q8—611no—
1180C22⋊Q8—611no—
1181C22⋊Q8—611no—
1182C22⋊Q8—611no—
1183C22⋊Q8—611no—
1184C22⋊Q8—611no—
1185C22⋊Q8—611no—
1186C22⋊Q8—1221no—
1187C22⋊Q8—1221no—
1188C22⋊Q8—1221no—
1189C22⋊Q8—1221no—
1190C22⋊Q8—1221no—
1191C22⋊Q8—1221no—
1192C22⋊Q8—1221no—
1193C22⋊Q8—1221no—
1194C22⋊Q8—1221no—
1195C22⋊Q8—1221no—
1196C22⋊Q8—1221no—
1197C22⋊Q8—1221no—
1198C22⋊Q8—1221no—
1199C22⋊Q8—1221no—
1200C22⋊Q8—1221no—
1201C22⋊Q8—1221no—
1202C22⋊Q8—1221no—
1203C22⋊Q8—1221no—
1204C22⋊Q8—1221no—
1205C22⋊Q8—1221no—
1206C22⋊Q8—1221no—
1207C22⋊Q8—1221no—
1208C22⋊Q8C22×D6111yescharacteristic
1209C22⋊Q8C22×D6111yescharacteristic
1210#121—21no—
1211#121—21no—
1212#121—611no—
1213#121—611no—
1214#121—611no—
1215#121—1221no—
1216#121—1221no—
1217#121—1221no—
1218#121—1221no—
1219#121—1221no—
1220#121C22×D6111yescharacteristic
1221#121C22×D6111yescharacteristic
1222#120—21no—
1223#120—1221no—
1224C4×Q8—611no—
1225C4×Q8—611no—
1226C4×Q8—611no—
1227C4×Q8—611no—
1228C4×Q8—611no—
1229C4×Q8—611no—
1230C4×Q8—611no—
1231C4×Q8—611no—
1232C4×Q8—611no—
1233C4×Q8—611no—
1234C4×Q8—611no—
1235C4×Q8—611no—
1236C4×Q8—1221no—
1237C4×Q8—1221no—
1238C4×Q8—1221no—
1239C4×Q8—1221no—
1240C4×Q8—1221no—
1241C4×Q8—1221no—
1242C4×Q8—1221no—
1243C4×Q8—1221no—
1244C4×Q8—1221no—
1245C4×Q8C22×D6111yescharacteristic
1246C4×D4—21no—
1247C4×D4—611no—
1248C4×D4—611no—
1249C4×D4—611no—
1250C4×D4—611no—
1251C4×D4—611no—
1252C4×D4—1221no—
1253C4×D4—1221no—
1254C4×D4—1221no—
1255C4×D4—1221no—
1256C4×D4—1221no—
1257C4×D4—1221no—
1258C4×D4—1221no—
1259C4×D4—1221no—
1260C4×D4C22×D6111yescharacteristic
1261C4×D4C22×D6111yescharacteristic
1262#117—611no—
1263#117—611no—
1264#117—611no—
1265#117—611no—
1266#117—611no—
1267#117—1221no—
1268#117—1221no—
1269#117—1221no—
1270#117—1221no—
1271#117—1221no—
1272#117—1221no—
1273#117—1221no—
1274#117—1221no—
1275#117—1221no—
1276#117—1221no—
1277#117—1221no—
1278C2×C22⋊C4—21no—
1279C2×C22⋊C4—1221no—
1280C2×C22⋊C4—1221no—
1281C2×C22⋊C4—1221no—
1282C2×C42—611no—
1283C2×C42—1221no—
1284#107—611no—
1285#107—611no—
1286#106—611no—
1287#106—611no—
1288#106—611no—
1289#106—611no—
1290#106—611no—
1291#106C22×D6111yescharacteristic
1292C4⋊C8—611no—
1293C4⋊C8—611no—
1294C4⋊C8—611no—
1295C4⋊C8—611no—
1296C4⋊C8—611no—
1297C4⋊C8—611no—
1298C4⋊C8—611no—
1299C4⋊C8—611no—
1300C4⋊C8—611no—
1301C4⋊C8C22×D6111yescharacteristic
1302#103—611no—
1303#103—611no—
1304#103—611no—
1305#103—611no—
1306#103—611no—
1307#103—611no—
1308#103—611no—
1309#103—611no—
1310#103—611no—
1311#103—611no—
1312#103—611no—
1313#103—611no—
1314#103—611no—
1315#103—611no—
1316#103—611no—
1317#103—611no—
1318#103—611no—
1319#103—611no—
1320#103—611no—
1321#103C22×D6111yescharacteristic
1322#103C22×D6111yescharacteristic
1323#103C22×D6111yescharacteristic
1324#102—611no—
1325#102—611no—
1326#102—611no—
1327#102—611no—
1328#102—611no—
1329#102—611no—
1330#102—611no—
1331#102C22×D6111yescharacteristic
1332#102C22×D6111yescharacteristic
1333#102C22×D6111yescharacteristic
1334C22⋊C8—611no—
1335C22⋊C8—611no—
1336C22⋊C8—611no—
1337C22⋊C8—611no—
1338C22⋊C8C22×D6111yescharacteristic
1339C22⋊C8C22×D6111yescharacteristic
1340#97—611no—
1341#97—611no—
1342#97—611no—
1343#97—611no—
1344C4×C8—611no—
1345C4×C8C22×D6111yescharacteristic
1346C24—21no—
1347#41—22no—
1348#41—41no—
1349#41—41no—
1350#41—41no—
1351#41—2441no—
1352#41—2441no—
1353C2×Q8—21no—
1354C2×Q8—22no—
1355C2×Q8—41no—
1356C2×Q8—611no—
1357C2×Q8—611no—
1358C2×Q8—611no—
1359C2×Q8—611no—
1360C2×Q8—611no—
1361C2×Q8—1221no—
1362C2×Q8—1221no—
1363C2×Q8—1221no—
1364C2×Q8—1221no—
1365C2×Q8—1221no—
1366C2×Q8—1221no—
1367C2×Q8—1221no—
1368C2×Q8—1221no—
1369C2×Q8—1222no—
1370C2×Q8—2441no—
1371C2×Q8—2441no—
1372C2×Q8—2441no—
1373C2×Q8—2441no—
1374C2×Q8—2441no—
1375C2×Q8—2441no—
1376C2×Q8—2441no—
1377C2×Q8C23×D6111yescharacteristic
1378C2×Q8C23×D6111yescharacteristic
1379C2×Q8C23×D6111yescharacteristic
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—41no—
1386C2×D4—41no—
1387C2×D4—611no—
1388C2×D4—611no—
1389C2×D4—1221no—
1390C2×D4—1221no—
1391C2×D4—1221no—
1392C2×D4D4×D6111yescharacteristic
1393C2×D4C23×D6111yescharacteristic
1394C2×D4C23×D6111yescharacteristic
1395C2×D4C23×D6111yescharacteristic
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—611no—
1401C22×C4—611no—
1402C22×C4—611no—
1403C22×C4—1221no—
1404C22×C4—1221no—
1405C22×C4—1221no—
1406C22×C4—1221no—
1407C22×C4—1221no—
1408C22×C4—1221no—
1409C22×C4—1221no—
1410C22×C4—1221no—
1411C22×C4C23×D6111yescharacteristic
1412C22×C4C23×D6111yescharacteristic
1413Q16—22no—
1414Q16—41no—
1415Q16—1222no—
1416Q16—1222no—
1417Q16—1222no—
1418Q16—2441no—
1419Q16—2441no—
1420Q16—2441no—
1421Q16—2441no—
1422Q16—2441no—
1423Q16—2441no—
1424Q16—2441no—
1425SD16—22no—
1426SD16—22no—
1427SD16—41no—
1428SD16—41no—
1429SD16—41no—
1430SD16—2441no—
1431SD16—2441no—
1432SD16—2441no—
1433SD16—2441no—
1434SD16—2441no—
1435D8—41no—
1436D8—41no—
1437M16—41no—
1438M16—41no—
1439M16—2441no—
1440M16—2441no—
1441C2×C8—611no—
1442C2×C8—611no—
1443C2×C8—611no—
1444C2×C8—611no—
1445C2×C8—2441no—
1446C2×C8—2441no—
1447C2×C8C23×D6111yescharacteristic
1448C2×C8C23×D6111yescharacteristic
1449C2×C8C23×D6111yescharacteristic
1450C2×C8C23×D6111yescharacteristic
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—611no—
1455C4⋊C4—611no—
1456C4⋊C4—611no—
1457C4⋊C4—611no—
1458C4⋊C4—611no—
1459C4⋊C4—611no—
1460C4⋊C4—611no—
1461C4⋊C4—611no—
1462C4⋊C4—611no—
1463C4⋊C4—611no—
1464C4⋊C4—611no—
1465C4⋊C4—611no—
1466C4⋊C4—611no—
1467C4⋊C4—1221no—
1468C4⋊C4—1221no—
1469C4⋊C4—1221no—
1470C4⋊C4—1221no—
1471C4⋊C4—1221no—
1472C4⋊C4—1221no—
1473C4⋊C4—1221no—
1474C4⋊C4—1221no—
1475C4⋊C4—1221no—
1476C4⋊C4—1221no—
1477C4⋊C4—1221no—
1478C4⋊C4—1221no—
1479C4⋊C4—1221no—
1480C4⋊C4—1221no—
1481C4⋊C4—1221no—
1482C4⋊C4—1221no—
1483C4⋊C4—1221no—
1484C4⋊C4—1221no—
1485C4⋊C4—1221no—
1486C4⋊C4—1221no—
1487C4⋊C4—1221no—
1488C4⋊C4—1221no—
1489C4⋊C4—1221no—
1490C4⋊C4—1221no—
1491C4⋊C4—1221no—
1492C4⋊C4—1221no—
1493C4⋊C4—1221no—
1494C4⋊C4—1221no—
1495C4⋊C4—1221no—
1496C4⋊C4D4×D6111yescharacteristic
1497C4⋊C4C23×D6111yescharacteristic
1498C4⋊C4C23×D6111yescharacteristic
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—611no—
1509C22⋊C4—611no—
1510C22⋊C4—611no—
1511C22⋊C4—611no—
1512C22⋊C4—611no—
1513C22⋊C4—611no—
1514C22⋊C4—611no—
1515C22⋊C4—611no—
1516C22⋊C4—1221no—
1517C22⋊C4—1221no—
1518C22⋊C4—1221no—
1519C22⋊C4—1221no—
1520C22⋊C4—1221no—
1521C22⋊C4—1221no—
1522C22⋊C4—1221no—
1523C22⋊C4—1221no—
1524C22⋊C4—1221no—
1525C22⋊C4—1221no—
1526C22⋊C4—1221no—
1527C22⋊C4—1221no—
1528C22⋊C4—1221no—
1529C22⋊C4—1221no—
1530C22⋊C4—1221no—
1531C22⋊C4—1221no—
1532C22⋊C4—1221no—
1533C22⋊C4—1221no—
1534C22⋊C4—1221no—
1535C22⋊C4—1221no—
1536C22⋊C4—1221no—
1537C22⋊C4—1221no—
1538C22⋊C4—1221no—
1539C22⋊C4—1221no—
1540C22⋊C4—1221no—
1541C22⋊C4—1221no—
1542C22⋊C4D4×D6111yescharacteristic
1543C22⋊C4D4×D6111yescharacteristic
1544C42—21no—
1545C42—611no—
1546C42—611no—
1547C42—611no—
1548C42—611no—
1549C42—611no—
1550C42—1221no—
1551C42—1221no—
1552C42—1221no—
1553C42—1221no—
1554C42—1221no—
1555C42—1221no—
1556C42—1221no—
1557C42—1221no—
1558C42—1221no—
1559C42—1221no—
1560C42—1221no—
1561C42—1221no—
1562C42—1221no—
1563C42—1221no—
1564C42C23×D6111yescharacteristic
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—42no—
1569C23—81no—
1570C23—81no—
1571C23—611no—
1572C23C2×D4×D6111yescharacteristic
1573C23C2×D4×D6111yescharacteristic
1574Q8—21no—
1575Q8—21no—
1576Q8—21no—
1577Q8—21no—
1578Q8—21no—
1579Q8—42no—
1580Q8—1221no—
1581Q8—1221no—
1582Q8—1221no—
1583Q8—1221no—
1584Q8—1221no—
1585Q8—1221no—
1586Q8—1221no—
1587Q8—1221no—
1588Q8—4881no—
1589Q8—4881no—
1590Q8—4881no—
1591Q8—4881no—
1592Q8—4881no—
1593Q8—4881no—
1594Q8—4881no—
1595Q8—2441no—
1596Q8—2442no—
1597Q8#1451982212yes—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—41no—
1605D4—42no—
1606D4—81no—
1607D4—81no—
1608D4—81no—
1609D4—81no—
1610D4—4881no—
1611D4—4881no—
1612D4—4881no—
1613D4—2441no—
1614D4—2441no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—42no—
1625C2×C4—42no—
1626C2×C4—81no—
1627C2×C4—81no—
1628C2×C4—611no—
1629C2×C4—611no—
1630C2×C4—611no—
1631C2×C4—611no—
1632C2×C4—611no—
1633C2×C4—611no—
1634C2×C4—611no—
1635C2×C4—1221no—
1636C2×C4—1221no—
1637C2×C4—1221no—
1638C2×C4—1221no—
1639C2×C4—1221no—
1640C2×C4—1221no—
1641C2×C4—1221no—
1642C2×C4—1221no—
1643C2×C4—1221no—
1644C2×C4—1221no—
1645C2×C4—4881no—
1646C2×C4—4881no—
1647C2×C4—4881no—
1648C2×C4—4881no—
1649C2×C4—4881no—
1650C2×C4—4881no—
1651C2×C4—2442no—
1652C2×C4—2441no—
1653C2×C4—2441no—
1654C2×C4—2442no—
1655C2×C4C2×D4×D6111yescharacteristic
1656C2×C4C2×D4×D6111yescharacteristic
1657C2×C4C2×D4×D6111yescharacteristic
1658C2×C4C2×D4×D6111yescharacteristic
1659C2×C4C24×D6111yescharacteristic
1660C8—21no—
1661C8—21no—
1662C8—21no—
1663C8—21no—
1664C8—1221no—
1665C8—1221no—
1666C8—1221no—
1667C8—1221no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—162no—
1684C22—1221no—
1685C22—1221no—
1686C22—1221no—
1687C22C22×D4×D6111yescharacteristic
1688C4—21no—
1689C4—21no—
1690C4—22no—
1691C4—21no—
1692C4—21no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—1221no—
1698C4—1221no—
1699C4—1221no—
1700C4—1221no—
1701C4—1221no—
1702C4—1221no—
1703C4—1221no—
1704C4—2441no—
1705C4—2441no—
1706C4—2441no—
1707C4—2441no—
1708C4—2441no—
1709C4—2441no—
1710C4—2441no—
1711C4—2441no—
1712C4C2×#1451982211yescharacteristic
1713C4#1684059711yescharacteristic
1714C2—41no—
1715C2—41no—
1716C2—81no—
1717C2—81no—
1718C2—81no—
1719C2—2441no—
1720C2#2145947911yescharacteristic
1721C2#2146060111yescharacteristic
1722C2#2146060311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3275C2
socleC22×C61C23×D4
hypercenter#3275D61
hypocenterC61#62091
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. #21460378C2semidirect
2. #21459827C2semidirect
3. #21458901C2semidirect
4. #21458897C2semidirect
5. #21458557C2semidirect
6. #21458554C2semidirect
7. #21458103C2semidirect
8. #21458097C2semidirect
9. #21458009C2semidirect
10. #21458000C2semidirect
11. #21457855C2semidirect
12. #21457848C2semidirect
13. #21457450C2semidirect
14. #21457387C2semidirect
15. #21457385C2semidirect
16. #21457383C2semidirect
17. #21457382C2semidirect
18. #21457289C2semidirect
19. #21457286C2semidirect
20. #21457209C2semidirect
21. #21456924C2semidirect
22. #21456921C2semidirect
23. #21456819C2semidirect
24. #21456044C2semidirect
25. #21456041C2semidirect
26. #21455974C2semidirect
27. #21455351C2semidirect
28. #21455347C2semidirect
29. #21455311C2semidirect
30. #21454983C2semidirect
31. C61×#3275C2semidirect
34. C22×#11758202C22semidirect
35. C2×Q16×D61C22semidirect
38. Q8×Dic122C22semidirect
46. #16840481C22semidirect
48. #16840476C22semidirect
52. Q8×C22⋊D61C22semidirect
60. #16840381C22semidirect
65. #16840379C22semidirect
76. #16840240C22semidirect
77. #16840238C22semidirect
79. #16840157C22semidirect
82. #16840153C22semidirect
88. #16840113C22semidirect
89. #16840111C22semidirect
90. #16840106C22semidirect
92. #16840104C22semidirect
96. #16840055C22semidirect
99. #16840050C22semidirect
100. #16840048C22semidirect
101. #16840046C22semidirect
102. #16840046C22semidirect
103. #16840046C22semidirect
104. #16840045C22semidirect
105. #16840045C22semidirect
107. #16840020C22semidirect
108. #16840019C22semidirect
112. #16839990C22semidirect
114. #16839989C22semidirect
118. #16839983C22semidirect
128. #16839981C22semidirect
134. #16839973C22semidirect
135. #16839972C22semidirect
136. #16839971C22semidirect
137. #16839971C22semidirect
138. #16839970C22semidirect
139. #16839970C22semidirect
140. #16839970C22semidirect
141. #16839970C22semidirect
142. #16839970C22semidirect
143. #16839965C22semidirect
148. #16839920C22semidirect
149. #16839919C22semidirect
150. #16839918C22semidirect
152. #16839916C22semidirect
155. #16839900C22semidirect
157. #16839899C22semidirect
158. #16839892C22semidirect
159. #16839891C22semidirect
160. #16839869C22semidirect
161. #16839867C22semidirect
162. #16839866C22semidirect
163. #16839866C22semidirect
165. #16839863C22semidirect
167. #16839859C22semidirect
168. C4×Dic244C22semidirect
169. #16839854C22semidirect
174. #16839831C22semidirect
175. #16839830C22semidirect
176. #16839821C22semidirect
177. #16839820C22semidirect
179. #16839790C22semidirect
180. #16839787C22semidirect
183. #16839772C22semidirect
184. #16839769C22semidirect
866. #3275D61semidirect
1064. C61#62091semidirect

Maximal subgroups

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

subgroupindex
#214603782
#214598272
#214589012
#214588972
#214585572
#214585542
#214581032
#214580972
#214580092
#214580002
#214578552
#214578482
#214574502
#214573872
#214573852
#214573832
#214573822
#214572892
#214572862
#214572092
#214569242
#214569212
#214568192
#214560442
#214560412
#214559742
#214553512
#214553472
#214553112
#214549832
C61×#32752
#6209161