Finite Group Databasebeta

← D61×#3315 #30556659

Subgroups — D61×#3315 #30556659

Order 15616.

2126 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#552×D61C211yesmaximal, characteristic, complemented
2#547×D61C211yesmaximal, characteristic
3#21457922C211yesmaximal, characteristic, complemented
4#21457921C211yesmaximal, characteristic, complemented
5#21457920C211yesmaximal, characteristic, complemented
6#21457919C211yesmaximal, characteristic, complemented
7#21457918C211yesmaximal, characteristic, complemented
8#21457917C211yesmaximal, characteristic, complemented
9#21457916C211yesmaximal, characteristic, complemented
10#21457915C211yesmaximal, characteristic, complemented
11#21457914C211yesmaximal, characteristic, complemented
12#21457913C211yesmaximal, characteristic, complemented
13#21457912C211yesmaximal, characteristic, complemented
14#21457911C211yesmaximal, characteristic, complemented
15#21457910C211yesmaximal, characteristic, complemented
16#21457909C211yesmaximal, characteristic, complemented
17#21457908C211yesmaximal, characteristic, complemented
18#491×D61C211yesmaximal, characteristic, complemented
19#484×D61C211yesmaximal, characteristic, complemented
20#485×D61C211yesmaximal, characteristic, complemented
21#478×D61C211yesmaximal, characteristic, complemented
22#470×D61C211yesmaximal, characteristic, complemented
23#467×D61C211yesmaximal, characteristic, complemented
24#462×D61C211yesmaximal, characteristic, complemented
25#452×D61C211yesmaximal, characteristic, complemented
26#452×D61C211yesmaximal, characteristic, complemented
27#440×D61C211yesmaximal, characteristic, complemented
28#435×D61C211yesmaximal, characteristic, complemented
29#417×D61C211yesmaximal, characteristic, complemented
30#416×D61C211yesmaximal, characteristic, complemented
31C61×#3315C211yesmaximal, characteristic, complemented
32C2×#41×D61C2211yescharacteristic
33C2×#41×D61C2211yescharacteristic
34C2×Q16×D61C2211yescharacteristic
35C2×Q16×D61C2211yescharacteristic
36C2×SD16×D61C2211yescharacteristic
37C2×M16×D61C2211yescharacteristic
38C22×C8×D61C2211yescharacteristic
39#16840454C2211yescharacteristic, complemented
40#16840453C2211yescharacteristic, complemented
41#16840452C2211yescharacteristic, complemented
42#16840451C2211yescharacteristic, complemented
43#16840450C2211yescharacteristic, complemented
44#16840449—21no—
45#16840448—21no—
46#16840447C2211yescharacteristic, complemented
47#16840446C2211yescharacteristic, complemented
48#16840445—21no—
49#16840444—21no—
50#16840417C2211yescharacteristic
51#16840416C2211yescharacteristic
52#16840415C2211yescharacteristic
53#16840414C2211yescharacteristic
54#16840414C2211yescharacteristic
55#16840413—21no—
56#16840412—21no—
57#16840411C2211yescharacteristic
58#16840411C2211yescharacteristic
59#16840410—21no—
60#16840410—21no—
61C4⋊Q8×D61C2211yescharacteristic
62#126×D61—21no—
63#125×D61—21no—
64#125×D61C2211yescharacteristic
65#123×D61—21no—
66#123×D61—21no—
67#123×D61—21no—
68C22⋊Q8×D61C2211yescharacteristic
69C22⋊Q8×D61C2211yescharacteristic
70C22⋊Q8×D61C2211yescharacteristic
71C22⋊Q8×D61C2211yescharacteristic
72#121×D61—21no—
73C4×Q8×D61C2211yescharacteristic
74C4×D4×D61C2211yescharacteristic
75C4×D4×D61C2211yescharacteristic
76#117×D61—21no—
77#117×D61C2211yescharacteristic
78C2×C4⋊C4×D61—21no—
79C2×C4⋊C4×D61C2211yescharacteristic
80#16840132C2211yescharacteristic, complemented
81#16840131C2211yescharacteristic, complemented
82#16840130C2211yescharacteristic, complemented
83#16840129C2211yescharacteristic, complemented
84#16840129C2211yescharacteristic, complemented
85#16840129C2211yescharacteristic, complemented
86#16840129C2211yescharacteristic, complemented
87#16840106C2211yescharacteristic, complemented
88#16840105C2211yescharacteristic, complemented
89#16840104C2211yescharacteristic, complemented
90#16840103C2211yescharacteristic, complemented
91#16840102C2211yescharacteristic, complemented
92#16840101C2211yescharacteristic, complemented
93#16840100C2211yescharacteristic, complemented
94#16840099C2211yescharacteristic, complemented
95#16840099C2211yescharacteristic, complemented
96#16840098C2211yescharacteristic, complemented
97#16840097C2211yescharacteristic, complemented
98#16840096C2211yescharacteristic, complemented
99#16840096C2211yescharacteristic, complemented
100#16840095C2211yescharacteristic, complemented
101#16840065C2211yescharacteristic, complemented
102#16840064C2211yescharacteristic, complemented
103#16840063C2211yescharacteristic, complemented
104#16840062C2211yescharacteristic, complemented
105#16840061C2211yescharacteristic, complemented
106#16840060C2211yescharacteristic, complemented
107#16840059C2211yescharacteristic, complemented
108#16840021C2211yescharacteristic, complemented
109#16840020C2211yescharacteristic, complemented
110#16840019C2211yescharacteristic, complemented
111#16840019C2211yescharacteristic, complemented
112#16840018C2211yescharacteristic, complemented
113#16840018C2211yescharacteristic, complemented
114#16840017C2211yescharacteristic, complemented
115#16840004C2211yescharacteristic, complemented
116#16840003C2211yescharacteristic, complemented
117#16840002C2211yescharacteristic, complemented
118#16840002C2211yescharacteristic, complemented
119#16840001C2211yescharacteristic, complemented
120#16840001C2211yescharacteristic, complemented
121#16840000C2211yescharacteristic, complemented
122#16839973C2211yescharacteristic, complemented
123#16839972C2211yescharacteristic, complemented
124#16839971C2211yescharacteristic, complemented
125#16839971C2211yescharacteristic, complemented
126#16839970C2211yescharacteristic, complemented
127#16839970C2211yescharacteristic, complemented
128#16839969C2211yescharacteristic, complemented
129#16839927C2211yescharacteristic, complemented
130#16839927C2211yescharacteristic, complemented
131#16839926C2211yescharacteristic, complemented
132#16839926C2211yescharacteristic, complemented
133#16839925C2211yescharacteristic, complemented
134#16839925C2211yescharacteristic, complemented
135#16839924C2211yescharacteristic, complemented
136#16839924C2211yescharacteristic, complemented
137#16839923C2211yescharacteristic, complemented
138#16839923C2211yescharacteristic, complemented
139#16839922C2211yescharacteristic, complemented
140#16839922C2211yescharacteristic, complemented
141#16839921C2211yescharacteristic, complemented
142#16839921C2211yescharacteristic, complemented
143#16839865C2211yescharacteristic, complemented
144#16839864C2211yescharacteristic, complemented
145#16839863C2211yescharacteristic, complemented
146#16839862C2211yescharacteristic, complemented
147#16839861C2211yescharacteristic, complemented
148#16839860C2211yescharacteristic, complemented
149#16839859C2211yescharacteristic, complemented
150#16839836C2211yescharacteristic, complemented
151#16839835C2211yescharacteristic, complemented
152#16839834C2211yescharacteristic, complemented
153#16839833C2211yescharacteristic, complemented
154#16839832C2211yescharacteristic, complemented
155#16839831C2211yescharacteristic, complemented
156#16839830C2211yescharacteristic, complemented
157#107×D61C2211yescharacteristic
158#107×D61C2211yescharacteristic
159#106×D61C2211yescharacteristic
160C4⋊C8×D61C2211yescharacteristic
161#16839764C2211yescharacteristic, complemented
162#16839763C2211yescharacteristic, complemented
163#16839762C2211yescharacteristic, complemented
164#16839762C2211yescharacteristic, complemented
165#16839761C2211yescharacteristic, complemented
166#16839760C2211yescharacteristic, complemented
167#16839760C2211yescharacteristic, complemented
168#16839759C2211yescharacteristic, complemented
169#16839758C2211yescharacteristic, complemented
170#16839757C2211yescharacteristic, complemented
171#16839757C2211yescharacteristic, complemented
172#16839756C2211yescharacteristic, complemented
173#16839755C2211yescharacteristic, complemented
174#16839755C2211yescharacteristic, complemented
175#103×D61C2211yescharacteristic
176#103×D61C2211yescharacteristic
177#103×D61C2211yescharacteristic
178#103×D61C2211yescharacteristic
179#103×D61C2211yescharacteristic
180#103×D61C2211yescharacteristic
181#103×D61C2211yescharacteristic
182#102×D61C2211yescharacteristic
183#102×D61C2211yescharacteristic
184#102×D61C2211yescharacteristic
185C22⋊C8×D61C2211yescharacteristic
186C22⋊C8×D61C2211yescharacteristic
187#97×D61C2211yescharacteristic
188C61×#552C2211yescharacteristic, complemented
189C61×#547C2211yescharacteristic
190C61×#491C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#484C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic, complemented
194C61×#470C2211yescharacteristic, complemented
195C61×#467C2211yescharacteristic, complemented
196C61×#462C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic, complemented
198C61×#452C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#417C2211yescharacteristic, complemented
202C61×#416C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758222C2311yescharacteristic
208C2×#11758222C2311yescharacteristic
209C2×#11758224—21no—
210C2×#11758224—21no—
211C2×#11758224C2311yescharacteristic
212C2×#11758224C2311yescharacteristic
213#41×D61—24no—
214#41×D61—24no—
215#41×D61—42no—
216#41×D61—42no—
217C2×Q8×D61C2311yescharacteristic
218C2×Q8×D61C2311yescharacteristic
219C2×Q8×D61C2311yescharacteristic
220C2×D4×D61—21no—
221C2×D4×D61—21no—
222C2×D4×D61D411yescharacteristic
223C2×D4×D61C2311yescharacteristic
224C22×C4×D61—21no—
225C22×C4×D61—21no—
226C22×C4×D61—21no—
227C22×C4×D61—21no—
228C22×C4×D61C2311yescharacteristic
229C22×C4×D61C2311yescharacteristic
230C2×Dic244C2311yescharacteristic
231C2×Dic244C2311yescharacteristic
232C2×#11758202C2311yescharacteristic
233C2×#11758202C2311yescharacteristic
234C2×#11758202C2311yescharacteristic
235C2×#11758202C2311yescharacteristic
236Q16×D61—42no—
237Q16×D61—42no—
238C2×#11758190C2311yescharacteristic
239C2×#11758200C2311yescharacteristic
240C2×#11758201C2311yescharacteristic
241SD16×D61—24no—
242C2×#11758194C2311yescharacteristic
243C2×#11758189C2311yescharacteristic
244C2×#11758189C2311yescharacteristic
245M16×D61—42no—
246C22×#92418C2311yescharacteristic
247C2×C8×D61—42no—
248C2×C8×D61C2311yescharacteristic
249C2×C8×D61C2311yescharacteristic
250C2×C8×D61C2311yescharacteristic
251C2×C8×D61C2311yescharacteristic
252C2×C8×D61C2311yescharacteristic
253C2×C8×D61C2311yescharacteristic
254#14519777C2311yescharacteristic
255#14519776—21no—
256#14519776—21no—
257#14519775C2311yescharacteristic
258#14519775C2311yescharacteristic
259#14519772—21no—
260#14519772—21no—
261#14519772—21no—
262#14519771—21no—
263#14519770—21no—
264#14519770—21no—
265#14519770—21no—
266#14519769—21no—
267#14519769C2311yescharacteristic
268#14519768—21no—
269#14519768—21no—
270#14519768C2311yescharacteristic
271#14519768C2311yescharacteristic
272#14519767—21no—
273#14519767—21no—
274#14519767—21no—
275#14519767—21no—
276#14519767—21no—
277#14519767—21no—
278#14519762—21no—
279#14519762—21no—
280#14519762—21no—
281#14519762—21no—
282#14519762—21no—
283#14519762—21no—
284#14519761—21no—
285#14519761—21no—
286#14519761—21no—
287#14519760—21no—
288#14519760—21no—
289#14519760—21no—
290#14519759—21no—
291#14519759—21no—
292#14519759—21no—
293#14519759—21no—
294#14519759—21no—
295#14519759—21no—
296#14519758—21no—
297#14519758—21no—
298#14519758—21no—
299#14519757C2311yescharacteristic
300#14519757C2311yescharacteristic
301#14519757C2311yescharacteristic
302#14519757C2311yescharacteristic
303#14519756C2311yescharacteristic
304#14519756C2311yescharacteristic
305#14519756C2311yescharacteristic
306#14519756C2311yescharacteristic
307#14519755—21no—
308#14519755—21no—
309#14519755—21no—
310#14519755—21no—
311#14519754—21no—
312#14519754—21no—
313#14519754—21no—
314#14519754—21no—
315#14519753C2311yescharacteristic
316#14519753C2311yescharacteristic
317#14519753C2311yescharacteristic
318#14519753C2311yescharacteristic
319#14519752—21no—
320#14519751—21no—
321#14519750—21no—
322#14519750—21no—
323#14519749—21no—
324#14519749—21no—
325#14519748—21no—
326Q8×Dic61C2311yescharacteristic
327C4×Dic122—21no—
328C4×Dic122C2311yescharacteristic
329#14519742—21no—
330#14519742C2311yescharacteristic
331C4×D244C2311yescharacteristic
332C4×D244C2311yescharacteristic
333D4×Dic61D411yescharacteristic
334D4×Dic61C2311yescharacteristic
335#14519739D411yescharacteristic
336#14519739C2311yescharacteristic
337C4×C22⋊D61—21no—
338C4×C22⋊D61C2311yescharacteristic
339C4×C22⋊D61C2311yescharacteristic
340#14519737—21no—
341#14519737D411yescharacteristic
342#14519737D411yescharacteristic
343#14519736—21no—
344#14519736C2311yescharacteristic
345#14519735—21no—
346#14519735—21no—
347#14519735C2311yescharacteristic
348#14519735C2311yescharacteristic
349#14519734—21no—
350#14519734—21no—
351#14519734—21no—
352#14519733—21no—
353#14519733—21no—
354#14519733—21no—
355C2×C4⋊Dic61—21no—
356C2×C4⋊Dic61C2311yescharacteristic
357C2×#11758196—21no—
358C2×#11758196—21no—
359C2×#11758196—21no—
360C4⋊C4×D61—21no—
361C4⋊C4×D61—21no—
362C4⋊C4×D61—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61—21no—
368C4⋊C4×D61—21no—
369C4⋊C4×D61—21no—
370C4⋊C4×D61—21no—
371C4⋊C4×D61—21no—
372C4⋊C4×D61—21no—
373C4⋊C4×D61—21no—
374C4⋊C4×D61—21no—
375C4⋊C4×D61D411yescharacteristic
376C4⋊C4×D61C2311yescharacteristic
377C4⋊C4×D61C2311yescharacteristic
378C4⋊C4×D61C2311yescharacteristic
379C4⋊C4×D61C2311yescharacteristic
380C4⋊C4×D61C2311yescharacteristic
381C4⋊C4×D61C2311yescharacteristic
382C22⋊C4×D61—21no—
383C22⋊C4×D61—21no—
384C22⋊C4×D61—21no—
385C22⋊C4×D61—21no—
386C22⋊C4×D61—21no—
387C22⋊C4×D61—21no—
388C22⋊C4×D61D411yescharacteristic
389C22⋊C4×D61D411yescharacteristic
390C42×D61—21no—
391C42×D61—21no—
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519711C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519709C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519701C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519700C2311yescharacteristic
425#14519700C2311yescharacteristic
426#14519699C2311yescharacteristic
427#14519699C2311yescharacteristic
428#14519699C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519698C2311yescharacteristic
431#14519698C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519688C2311yescharacteristic
442#14519687C2311yescharacteristic
443#14519687C2311yescharacteristic
444C2×#41×C61C2311yescharacteristic
445C2×#41×C61C2311yescharacteristic
446C2×Q16×C61C2311yescharacteristic
447C2×Q16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×M16×C61C2311yescharacteristic
450C22×C8×C61C2311yescharacteristic
451C4⋊Q8×C61C2311yescharacteristic
452#126×C61—21no—
453#125×C61—21no—
454#125×C61C2311yescharacteristic
455#123×C61—21no—
456#123×C61—21no—
457#123×C61—21no—
458C22⋊Q8×C61C2311yescharacteristic
459C22⋊Q8×C61C2311yescharacteristic
460C22⋊Q8×C61C2311yescharacteristic
461C22⋊Q8×C61C2311yescharacteristic
462#121×C61—21no—
463C4×Q8×C61C2311yescharacteristic
464C4×D4×C61C2311yescharacteristic
465C4×D4×C61C2311yescharacteristic
466#117×C61—21no—
467#117×C61C2311yescharacteristic
468C2×C4⋊C4×C61—21no—
469C2×C4⋊C4×C61C2311yescharacteristic
470#107×C61C2311yescharacteristic
471#107×C61C2311yescharacteristic
472#106×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#103×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C22⋊C8×C61C2311yescharacteristic
485C22⋊C8×C61C2311yescharacteristic
486#97×C61C2311yescharacteristic
487C23×D61—21no—
488C23×D61C2×D411yescharacteristic
489C23×D61C2×D411yescharacteristic
490#41×C61—22no—
491#41×C61—22no—
492#41×C61—41no—
493#41×C61—41no—
494C2×Q8×C61C2411yescharacteristic
495C2×Q8×C61C2411yescharacteristic
496C2×Q8×C61C2411yescharacteristic
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61C2×D411yescharacteristic
500C2×D4×C61C2411yescharacteristic
501C22×C4×C61—21no—
502C22×C4×C61—21no—
503C22×C4×C61—21no—
504C22×C4×C61—21no—
505C22×C4×C61C2411yescharacteristic
506C22×C4×C61C2411yescharacteristic
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
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×Dic61C2×D411yescharacteristic
519C22×Dic61C2×D411yescharacteristic
520#11758226—22no—
521#11758226—22no—
522#11758226—41no—
523#11758226—41no—
524Q8×D61—22no—
525Q8×D61—22no—
526Q8×D61—22no—
527Q8×D61—22no—
528Q8×D61—22no—
529Q8×D61—22no—
530#11758224—22no—
531#11758224—22no—
532#11758224—41no—
533#11758224—41no—
534#11758224—44no—
535#11758224—44no—
536D4×D61—22no—
537D4×D61—42no—
538D4×D61—44no—
539D4×D61—44no—
540D4×D61#4114yes—
541#11758222—22no—
542#11758222—22no—
543#11758222—41no—
544#11758222—41no—
545#11758222—44no—
546#11758222—44no—
547C2×D244—21no—
548C2×D244—21no—
549C2×D244C2×D411yescharacteristic
550C2×D244C2411yescharacteristic
551C2×C4×D61—22no—
552C2×C4×D61—22no—
553C2×C4×D61—22no—
554C2×C4×D61—22no—
555C2×C4×D61—21no—
556C2×C4×D61—21no—
557C2×C4×D61—21no—
558C2×C4×D61—21no—
559C2×C4×D61—21no—
560C2×C4×D61—21no—
561C2×C4×D61—21no—
562C2×C4×D61—21no—
563C2×C4×D61—21no—
564C2×C4×D61—21no—
565C2×C4×D61—21no—
566C2×C4×D61—21no—
567C2×C4×D61—21no—
568C2×C4×D61—21no—
569C2×C4×D61—21no—
570C2×C4×D61—44no—
571C2×C4×D61—44no—
572C2×C4×D61—44no—
573C2×C4×D61—44no—
574C2×C4×D61C2×D411yescharacteristic
575C2×C4×D61C2×D411yescharacteristic
576C2×C4×D61C2×D411yescharacteristic
577C2×C4×D61C2×D411yescharacteristic
578C2×C4×D61C2×D411yescharacteristic
579C2×C4×D61C2×D411yescharacteristic
580C2×C4×D61C2411yescharacteristic
581C2×C4×D61C2411yescharacteristic
582C2×C4×D61C2411yescharacteristic
583C2×Dic122—21no—
584C2×Dic122—21no—
585C2×Dic122—21no—
586C2×Dic122C2411yescharacteristic
587C2×Dic122C2411yescharacteristic
588C2×Dic122C2411yescharacteristic
589Q16×C61—41no—
590Q16×C61—41no—
591SD16×C61—22no—
592M16×C61—41no—
593C2×C8×C61—41no—
594C2×C8×C61C2411yescharacteristic
595C2×C8×C61C2411yescharacteristic
596C2×C8×C61C2411yescharacteristic
597C2×C8×C61C2411yescharacteristic
598C4⋊C4×C61—21no—
599C4⋊C4×C61—21no—
600C4⋊C4×C61—21no—
601C4⋊C4×C61—21no—
602C4⋊C4×C61—21no—
603C4⋊C4×C61—21no—
604C4⋊C4×C61—21no—
605C4⋊C4×C61—21no—
606C4⋊C4×C61—21no—
607C4⋊C4×C61—21no—
608C4⋊C4×C61C2×D411yescharacteristic
609C4⋊C4×C61C2411yescharacteristic
610C4⋊C4×C61C2411yescharacteristic
611C4⋊C4×C61C2411yescharacteristic
612C4⋊C4×C61C2411yescharacteristic
613C22⋊C4×C61—21no—
614C22⋊C4×C61—21no—
615C22⋊C4×C61—21no—
616C22⋊C4×C61—21no—
617C22⋊C4×C61—21no—
618C22⋊C4×C61—21no—
619C22⋊C4×C61C2×D411yescharacteristic
620C22⋊C4×C61C2×D411yescharacteristic
621C42×C61—21no—
622C42×C61—21no—
623C42×C61C2411yescharacteristic
624C22⋊Dic61—21no—
625C22⋊Dic61—21no—
626C22⋊Dic61—21no—
627C22⋊Dic61—21no—
628C22⋊Dic61—21no—
629C22⋊Dic61—21no—
630C22⋊Dic61C2×D411yescharacteristic
631C22⋊Dic61C2×D411yescharacteristic
632#11758202—41no—
633#11758202—41no—
634#11758202—41no—
635#11758202—41no—
636#11758201—22no—
637#11758200—22no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198—21no—
645#11758198—21no—
646#11758198—21no—
647#11758198—21no—
648#11758198—21no—
649#11758198—21no—
650#11758198C2×D411yescharacteristic
651#11758198C2×D411yescharacteristic
652#11758198C2×D411yescharacteristic
653#11758198C2×D411yescharacteristic
654C4⋊Dic61—21no—
655C4⋊Dic61—21no—
656C4⋊Dic61—21no—
657C4⋊Dic61—21no—
658C4⋊Dic61—21no—
659C4⋊Dic61—21no—
660C4⋊Dic61—21no—
661C4⋊Dic61—21no—
662C4⋊Dic61—21no—
663C4⋊Dic61—21no—
664C4⋊Dic61C2×D411yescharacteristic
665C4⋊Dic61C2411yescharacteristic
666C4⋊Dic61C2411yescharacteristic
667C4⋊Dic61C2411yescharacteristic
668C4⋊Dic61C2411yescharacteristic
669#11758196—21no—
670#11758196—21no—
671#11758196—21no—
672#11758196—21no—
673#11758196—21no—
674#11758196—21no—
675#11758196—21no—
676#11758196—21no—
677#11758196—21no—
678#11758196—21no—
679#11758196—21no—
680#11758196—21no—
681#11758196—21no—
682#11758196—21no—
683#11758196—21no—
684#11758196—21no—
685#11758196—21no—
686#11758196—21no—
687#11758196—21no—
688#11758196—21no—
689#11758196—21no—
690#11758196—21no—
691#11758196—21no—
692#11758196—21no—
693#11758196C2×D411yescharacteristic
694#11758196C2×D411yescharacteristic
695C4×Dic61—21no—
696C4×Dic61—21no—
697C4×Dic61—21no—
698C4×Dic61—21no—
699C4×Dic61—21no—
700C4×Dic61—21no—
701C4×Dic61C2×D411yescharacteristic
702C4×Dic61C2×D411yescharacteristic
703C4×Dic61C2411yescharacteristic
704#11758194—41no—
705C2×#92418—41no—
706C2×#92418C2411yescharacteristic
707C2×#92418C2411yescharacteristic
708C2×#92418C2411yescharacteristic
709C2×#92418C2411yescharacteristic
710Dic244—41no—
711Dic244—41no—
712#11758190—22no—
713#11758189—41no—
714#11758189—41no—
715C8×D61—22no—
716C8×D61—22no—
717C8×D61—22no—
718C8×D61—22no—
719C8×D61—41no—
720C8×D61—41no—
721C23×C61—21no—
722C23×C61C22×D411yescharacteristic
723C23×C61C22×D411yescharacteristic
724C22×D61—21no—
725C22×D61—22no—
726C22×D61—22no—
727C22×D61—24no—
728C22×D61—22no—
729C22×D61—22no—
730C22×D61—22no—
731C22×D61—22no—
732C22×D61—42no—
733C22×D61—42no—
734C22×D61C22×D411yescharacteristic
735C22×D61C22×D411yescharacteristic
736C22×D61C22×D411yescharacteristic
737Q8×C61—21no—
738Q8×C61—21no—
739Q8×C61—21no—
740Q8×C61—21no—
741Q8×C61—21no—
742Q8×C61—21no—
743D4×C61—21no—
744D4×C61—41no—
745D4×C61—42no—
746D4×C61—42no—
747D4×C61C2×#4112yes—
748C2×C4×C61—21no—
749C2×C4×C61—21no—
750C2×C4×C61—21no—
751C2×C4×C61—21no—
752C2×C4×C61—21no—
753C2×C4×C61—21no—
754C2×C4×C61—21no—
755C2×C4×C61—21no—
756C2×C4×C61—21no—
757C2×C4×C61—21no—
758C2×C4×C61—21no—
759C2×C4×C61—42no—
760C2×C4×C61—42no—
761C2×C4×C61—42no—
762C2×C4×C61—42no—
763C2×C4×C61C22×D411yescharacteristic
764C2×C4×C61C22×D411yescharacteristic
765C2×C4×C61C22×D411yescharacteristic
766C2×C4×C61C22×D411yescharacteristic
767C2×C4×C61C2511yescharacteristic
768C22⋊D61—24no—
769C22⋊D61—41no—
770C22⋊D61—41no—
771C22⋊D61—42no—
772C22⋊D61—42no—
773C22⋊D61—42no—
774C22⋊D61—42no—
775C2×Dic61—22no—
776C2×Dic61—22no—
777C2×Dic61—21no—
778C2×Dic61—21no—
779C2×Dic61—21no—
780C2×Dic61—21no—
781C2×Dic61—21no—
782C2×Dic61—21no—
783C2×Dic61—21no—
784C2×Dic61—42no—
785C2×Dic61—42no—
786C2×Dic61—42no—
787C2×Dic61—42no—
788C2×Dic61C22×D411yescharacteristic
789C2×Dic61C22×D411yescharacteristic
790C2×Dic61C22×D411yescharacteristic
791C2×Dic61C22×D411yescharacteristic
792C2×Dic61C22×D411yescharacteristic
793D244—21no—
794D244—41no—
795D244—42no—
796D244—42no—
797D244C2×#4112yes—
798C4×D61—22no—
799C4×D61—22no—
800C4×D61—22no—
801C4×D61—22no—
802C4×D61—21no—
803C4×D61—21no—
804C4×D61—21no—
805C4×D61—21no—
806C4×D61—22no—
807C4×D61—22no—
808C4×D61—42no—
809C4×D61—42no—
810C4×D61—42no—
811C4×D61—42no—
812C4×D61—42no—
813C4×D61—42no—
814C4×D61—42no—
815C4×D61—42no—
816C4×D61—42no—
817C4×D61—42no—
818C4×D61—42no—
819C4×D61—42no—
820C4×D61—42no—
821C4×D61—42no—
822C4×D61—42no—
823C4×D61C2×#4112yes—
824C4×D61H(5,𝔽2)12yes—
825Dic122—21no—
826Dic122—21no—
827Dic122—21no—
828Dic122—21no—
829Dic122—21no—
830Dic122—21no—
831Dic122—42no—
832Dic122—42no—
833Dic122—42no—
834C8×C61—21no—
835C8×C61—21no—
836C8×C61—21no—
837C8×C61—21no—
838#92418—21no—
839#92418—21no—
840#92418—21no—
841#92418—21no—
842C2×#3315—611nomaximal, Sylow
843C22×C61—21no—
844C22×C61—21no—
845C22×C61—22no—
846C22×C61—21no—
847C22×C61—21no—
848C22×C61—21no—
849C22×C61—21no—
850C22×C61—41no—
851C22×C61—41no—
852C22×C61C23×D411yescharacteristic
853C2×D61—21no—
854C2×D61—21no—
855C2×D61—22no—
856C2×D61—21no—
857C2×D61—21no—
858C2×D61—21no—
859C2×D61—21no—
860C2×D61—41no—
861C2×D61—41no—
862C2×D61—44no—
863C2×D61—44no—
864C2×D61—48no—
865C2×D61#54612yes—
866C2×D61#57512yes—
867C2×D61#57812yes—
868C4×C61—21no—
869C4×C61—21no—
870C4×C61—21no—
871C4×C61—21no—
872C4×C61—41no—
873C4×C61—41no—
874C4×C61—41no—
875C4×C61—41no—
876C4×C61—41no—
877C4×C61—41no—
878C4×C61—41no—
879C4×C61C22×#4111yescharacteristic
880C4×C61C2×H(5,𝔽2)11yescharacteristic
881Dic61—21no—
882Dic61—21no—
883Dic61—21no—
884Dic61—21no—
885Dic61—41no—
886Dic61—41no—
887Dic61—41no—
888Dic61—41no—
889Dic61—41no—
890Dic61—41no—
891Dic61—41no—
892Dic61#54612yes—
893C2×#552—611no—
894C2×#547—611no—
895#3315—611no—
896#3315—611no—
897#3315—611no—
898#3315—611no—
899#3315—611no—
900#3315—611no—
901#3315—611no—
902#3315—611no—
903#3315—611no—
904#3315—611no—
905#3315—611no—
906#3315—611no—
907#3315—611no—
908#3315—611no—
909#3315—611no—
910#3315D6111yescharacteristic, direct product factor
911C2×#491—611no—
912C2×#484—611no—
913C2×#485—611no—
914C2×#478—611no—
915C2×#470—611no—
916C2×#467—611no—
917C2×#462—611no—
918C2×#452—611no—
919C2×#452—611no—
920C2×#440—611no—
921C2×#435—611no—
922C2×#417—611no—
923C2×#416—611no—
924C2×C61—41no—
925C2×C61—41no—
926C2×C61—42no—
927C2×C61C2×#54611yescharacteristic
928C2×C61C2×#57511yescharacteristic
929C2×C61C2×#57811yescharacteristic
930D61—41no—
931D61—41no—
932D61—42no—
933D61#331514yesdirect product factor
934C22×#41—611no—
935C22×#41—611no—
936C22×Q16—611no—
937C22×Q16—611no—
938C22×SD16—611no—
939C22×M16—611no—
940C23×C8—611no—
941#552—611no—
942#552—611no—
943#552—611no—
944#552—611no—
945#552—611no—
946#552—611no—
947#552—611no—
948#552—1221no—
949#552—1221no—
950#552—1221no—
951#552—1221no—
952#552C2×D6111yescharacteristic, complemented
953#547—611no—
954#547—611no—
955#547—611no—
956#547—611no—
957#547—611no—
958#547—611no—
959#547—611no—
960#547—1221no—
961#547—1221no—
962#547—1221no—
963#547—1221no—
964#547C2×D6111yescharacteristic
965C2×C4⋊Q8—611no—
966C2×#126—1221no—
967C2×#125—611no—
968C2×#125—1221no—
969C2×#123—1221no—
970C2×#123—1221no—
971C2×#123—1221no—
972C2×C22⋊Q8—611no—
973C2×C22⋊Q8—611no—
974C2×C22⋊Q8—611no—
975C2×C22⋊Q8—611no—
976C2×#121—1221no—
977C2×C4×Q8—611no—
978C2×C4×D4—611no—
979C2×C4×D4—611no—
980C2×#117—611no—
981C2×#117—1221no—
982C22×C4⋊C4—611no—
983C22×C4⋊C4—1221no—
984#491—611no—
985#491—611no—
986#491—611no—
987#491—611no—
988#491—611no—
989#491—611no—
990#491—611no—
991#491C2×D6111yescharacteristic, complemented
992#485—611no—
993#485—611no—
994#485—611no—
995#485—611no—
996#485—611no—
997#485—611no—
998#485—611no—
999#485C2×D6111yescharacteristic, complemented
1000#484—611no—
1001#484—611no—
1002#484—611no—
1003#484—611no—
1004#484—611no—
1005#484—611no—
1006#484—611no—
1007#484C2×D6111yescharacteristic, complemented
1008#478—611no—
1009#478—611no—
1010#478—611no—
1011#478—611no—
1012#478—611no—
1013#478—611no—
1014#478—611no—
1015#478C2×D6111yescharacteristic, complemented
1016#470—611no—
1017#470—611no—
1018#470—611no—
1019#470—611no—
1020#470—611no—
1021#470—611no—
1022#470—611no—
1023#470C2×D6111yescharacteristic, complemented
1024#467—611no—
1025#467—611no—
1026#467—611no—
1027#467—611no—
1028#467—611no—
1029#467—611no—
1030#467—611no—
1031#467C2×D6111yescharacteristic, complemented
1032#462—611no—
1033#462—611no—
1034#462—611no—
1035#462—611no—
1036#462—611no—
1037#462—611no—
1038#462—611no—
1039#462C2×D6111yescharacteristic, complemented
1040#452—611no—
1041#452—611no—
1042#452—611no—
1043#452—611no—
1044#452—611no—
1045#452—611no—
1046#452—611no—
1047#452—611no—
1048#452—611no—
1049#452—611no—
1050#452—611no—
1051#452—611no—
1052#452—611no—
1053#452—611no—
1054#452C2×D6111yescharacteristic, complemented
1055#452C2×D6111yescharacteristic, complemented
1056#440—611no—
1057#440—611no—
1058#440—611no—
1059#440—611no—
1060#440—611no—
1061#440—611no—
1062#440—611no—
1063#440C2×D6111yescharacteristic, complemented
1064#435—611no—
1065#435—611no—
1066#435—611no—
1067#435—611no—
1068#435—611no—
1069#435—611no—
1070#435—611no—
1071#435C2×D6111yescharacteristic, complemented
1072C2×#107—611no—
1073C2×#107—611no—
1074C2×#106—611no—
1075C2×C4⋊C8—611no—
1076#417—611no—
1077#417—611no—
1078#417—611no—
1079#417—611no—
1080#417—611no—
1081#417—611no—
1082#417—611no—
1083#417C2×D6111yescharacteristic, complemented
1084#416—611no—
1085#416—611no—
1086#416—611no—
1087#416—611no—
1088#416—611no—
1089#416—611no—
1090#416—611no—
1091#416C2×D6111yescharacteristic, complemented
1092C2×#103—611no—
1093C2×#103—611no—
1094C2×#103—611no—
1095C2×#103—611no—
1096C2×#103—611no—
1097C2×#103—611no—
1098C2×#103—611no—
1099C2×#102—611no—
1100C2×#102—611no—
1101C2×#102—611no—
1102C2×C22⋊C8—611no—
1103C2×C22⋊C8—611no—
1104C2×#97—611no—
1105C61C2×#331511yescharacteristic, complemented, Sylow
1106C2×#41—611no—
1107C2×#41—611no—
1108C2×#41—611no—
1109C2×#41—611no—
1110C2×#41—611no—
1111C2×#41—611no—
1112C2×#41—1221no—
1113C2×#41—1221no—
1114C2×#41—1221no—
1115C2×#41—1221no—
1116C2×#41—1224no—
1117C2×#41—1224no—
1118C2×#41—2442no—
1119C2×#41—2442no—
1120C2×#41C22×D6111yescharacteristic
1121C2×#41C22×D6111yescharacteristic
1122C22×Q8—611no—
1123C22×Q8—611no—
1124C22×Q8—611no—
1125C22×D4—611no—
1126C22×D4—611no—
1127C22×D4—1221no—
1128C22×D4—1221no—
1129C23×C4—611no—
1130C23×C4—611no—
1131C23×C4—1221no—
1132C23×C4—1221no—
1133C23×C4—1221no—
1134C23×C4—1221no—
1135C2×Q16—611no—
1136C2×Q16—611no—
1137C2×Q16—611no—
1138C2×Q16—611no—
1139C2×Q16—611no—
1140C2×Q16—611no—
1141C2×Q16—2442no—
1142C2×Q16—2442no—
1143C2×Q16C22×D6111yescharacteristic
1144C2×Q16C22×D6111yescharacteristic
1145C2×SD16—611no—
1146C2×SD16—611no—
1147C2×SD16—611no—
1148C2×SD16—1224no—
1149C2×SD16C22×D6111yescharacteristic
1150C2×M16—611no—
1151C2×M16—611no—
1152C2×M16—611no—
1153C2×M16—2442no—
1154C2×M16C22×D6111yescharacteristic
1155C22×C8—611no—
1156C22×C8—611no—
1157C22×C8—611no—
1158C22×C8—611no—
1159C22×C8—611no—
1160C22×C8—611no—
1161C22×C8—611no—
1162C22×C8—2442no—
1163C22×C8C22×D6111yescharacteristic
1164C4⋊Q8—611no—
1165C4⋊Q8—611no—
1166C4⋊Q8—611no—
1167C4⋊Q8—1221no—
1168C4⋊Q8—1221no—
1169C4⋊Q8C22×D6111yescharacteristic
1170#126—21no—
1171#126—1221no—
1172#126—1221no—
1173#126—1221no—
1174#126—1221no—
1175#126—1221no—
1176#126—1221no—
1177#126—1221no—
1178#125—21no—
1179#125—611no—
1180#125—611no—
1181#125—611no—
1182#125—1221no—
1183#125—1221no—
1184#125—1221no—
1185#125—1221no—
1186#125—1221no—
1187#125—1221no—
1188#125—1221no—
1189#125—1221no—
1190#125—1221no—
1191#125C22×D6111yescharacteristic
1192#123—21no—
1193#123—21no—
1194#123—21no—
1195#123—1221no—
1196#123—1221no—
1197#123—1221no—
1198#123—1221no—
1199#123—1221no—
1200#123—1221no—
1201#123—1221no—
1202#123—1221no—
1203#123—1221no—
1204#123—1221no—
1205#123—1221no—
1206#123—1221no—
1207#123—1221no—
1208#123—1221no—
1209#123—1221no—
1210#123—1221no—
1211#123—1221no—
1212#123—1221no—
1213#123—1221no—
1214#123—1221no—
1215#123—1221no—
1216C22⋊Q8—611no—
1217C22⋊Q8—611no—
1218C22⋊Q8—611no—
1219C22⋊Q8—611no—
1220C22⋊Q8—611no—
1221C22⋊Q8—611no—
1222C22⋊Q8—611no—
1223C22⋊Q8—611no—
1224C22⋊Q8—611no—
1225C22⋊Q8—611no—
1226C22⋊Q8—611no—
1227C22⋊Q8—611no—
1228C22⋊Q8—1221no—
1229C22⋊Q8—1221no—
1230C22⋊Q8—1221no—
1231C22⋊Q8—1221no—
1232C22⋊Q8—1221no—
1233C22⋊Q8—1221no—
1234C22⋊Q8—1221no—
1235C22⋊Q8—1221no—
1236C22⋊Q8C22×D6111yescharacteristic
1237C22⋊Q8C22×D6111yescharacteristic
1238C22⋊Q8C22×D6111yescharacteristic
1239C22⋊Q8C22×D6111yescharacteristic
1240#121—21no—
1241#121—1221no—
1242#121—1221no—
1243#121—1221no—
1244#121—1221no—
1245#121—1221no—
1246#121—1221no—
1247#121—1221no—
1248C4×Q8—611no—
1249C4×Q8—611no—
1250C4×Q8—611no—
1251C4×Q8—1221no—
1252C4×Q8—1221no—
1253C4×Q8C22×D6111yescharacteristic
1254C4×D4—611no—
1255C4×D4—611no—
1256C4×D4—611no—
1257C4×D4—611no—
1258C4×D4—611no—
1259C4×D4—611no—
1260C4×D4—611no—
1261C4×D4—611no—
1262C4×D4—611no—
1263C4×D4—611no—
1264C4×D4—1221no—
1265C4×D4—1221no—
1266C4×D4C22×D6111yescharacteristic
1267C4×D4C22×D6111yescharacteristic
1268#117—21no—
1269#117—611no—
1270#117—611no—
1271#117—611no—
1272#117—1221no—
1273#117—1221no—
1274#117—1221no—
1275#117—1221no—
1276#117—1221no—
1277#117—1221no—
1278#117—1221no—
1279#117—1221no—
1280#117—1221no—
1281#117C22×D6111yescharacteristic
1282C2×C4⋊C4—21no—
1283C2×C4⋊C4—611no—
1284C2×C4⋊C4—611no—
1285C2×C4⋊C4—611no—
1286C2×C4⋊C4—611no—
1287C2×C4⋊C4—611no—
1288C2×C4⋊C4—611no—
1289C2×C4⋊C4—611no—
1290C2×C4⋊C4—611no—
1291C2×C4⋊C4—1221no—
1292C2×C4⋊C4—1221no—
1293C2×C4⋊C4—1221no—
1294C2×C4⋊C4—1221no—
1295C2×C4⋊C4—1221no—
1296C2×C4⋊C4—1221no—
1297C2×C4⋊C4—1221no—
1298C2×C4⋊C4—1221no—
1299C2×C4⋊C4—1221no—
1300C2×C4⋊C4—1221no—
1301C2×C4⋊C4—1221no—
1302C2×C4⋊C4—1221no—
1303C2×C4⋊C4—1221no—
1304C2×C4⋊C4—1221no—
1305C2×C4⋊C4—1221no—
1306C2×C4⋊C4—1221no—
1307C2×C4⋊C4—1221no—
1308C2×C4⋊C4—1221no—
1309C2×C4⋊C4—1221no—
1310C2×C4⋊C4C22×D6111yescharacteristic
1311C2×C22⋊C4—611no—
1312C2×C22⋊C4—611no—
1313C2×C22⋊C4—1221no—
1314C2×C22⋊C4—1221no—
1315C2×C22⋊C4—1221no—
1316C2×C22⋊C4—1221no—
1317C2×C22⋊C4—1221no—
1318C2×C22⋊C4—1221no—
1319C2×C42—611no—
1320C2×C42—1221no—
1321C2×C42—1221no—
1322#107—611no—
1323#107—611no—
1324#107—611no—
1325#107—611no—
1326#107—611no—
1327#107—611no—
1328#107C22×D6111yescharacteristic
1329#107C22×D6111yescharacteristic
1330#106—611no—
1331#106—611no—
1332#106—611no—
1333#106C22×D6111yescharacteristic
1334C4⋊C8—611no—
1335C4⋊C8—611no—
1336C4⋊C8—611no—
1337C4⋊C8C22×D6111yescharacteristic
1338#103—611no—
1339#103—611no—
1340#103—611no—
1341#103—611no—
1342#103—611no—
1343#103—611no—
1344#103—611no—
1345#103—611no—
1346#103—611no—
1347#103—611no—
1348#103—611no—
1349#103—611no—
1350#103—611no—
1351#103—611no—
1352#103—611no—
1353#103—611no—
1354#103—611no—
1355#103—611no—
1356#103—611no—
1357#103—611no—
1358#103—611no—
1359#103C22×D6111yescharacteristic
1360#103C22×D6111yescharacteristic
1361#103C22×D6111yescharacteristic
1362#103C22×D6111yescharacteristic
1363#103C22×D6111yescharacteristic
1364#103C22×D6111yescharacteristic
1365#103C22×D6111yescharacteristic
1366#102—611no—
1367#102—611no—
1368#102—611no—
1369#102—611no—
1370#102—611no—
1371#102—611no—
1372#102—611no—
1373#102—611no—
1374#102—611no—
1375#102C22×D6111yescharacteristic
1376#102C22×D6111yescharacteristic
1377#102C22×D6111yescharacteristic
1378C22⋊C8—611no—
1379C22⋊C8—611no—
1380C22⋊C8—611no—
1381C22⋊C8—611no—
1382C22⋊C8—611no—
1383C22⋊C8—611no—
1384C22⋊C8C22×D6111yescharacteristic
1385C22⋊C8C22×D6111yescharacteristic
1386#97—611no—
1387#97—611no—
1388#97—611no—
1389#97C22×D6111yescharacteristic
1390C24—611no—
1391C24—611no—
1392C24—1221no—
1393#41—22no—
1394#41—22no—
1395#41—41no—
1396#41—41no—
1397#41—1222no—
1398#41—1222no—
1399#41—1222no—
1400#41—1222no—
1401#41—1222no—
1402#41—1222no—
1403#41—2441no—
1404#41—2441no—
1405#41—2444no—
1406#41—2444no—
1407#41—2441no—
1408#41—2441no—
1409#41—2444no—
1410#41—2444no—
1411#41—2441no—
1412#41—2441no—
1413C2×Q8—611no—
1414C2×Q8—611no—
1415C2×Q8—611no—
1416C2×Q8—1221no—
1417C2×Q8—1221no—
1418C2×Q8—1221no—
1419C2×Q8—1222no—
1420C2×Q8—1222no—
1421C2×Q8—1222no—
1422C2×Q8—1222no—
1423C2×Q8—1222no—
1424C2×Q8—1222no—
1425C2×Q8C23×D6111yescharacteristic
1426C2×Q8C23×D6111yescharacteristic
1427C2×Q8C23×D6111yescharacteristic
1428C2×D4—21no—
1429C2×D4—21no—
1430C2×D4—614no—
1431C2×D4—611no—
1432C2×D4—611no—
1433C2×D4—611no—
1434C2×D4—611no—
1435C2×D4—1221no—
1436C2×D4—1221no—
1437C2×D4—1222no—
1438C2×D4—1221no—
1439C2×D4—1221no—
1440C2×D4—1221no—
1441C2×D4—1221no—
1442C2×D4—1221no—
1443C2×D4—2442no—
1444C2×D4—2444no—
1445C2×D4—2444no—
1446C2×D4D4×D6111yescharacteristic
1447C2×D4C23×D6111yescharacteristic
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—611no—
1453C22×C4—611no—
1454C22×C4—611no—
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—1222no—
1464C22×C4—1222no—
1465C22×C4—1222no—
1466C22×C4—1222no—
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×C4—1221no—
1485C22×C4—1221no—
1486C22×C4—2444no—
1487C22×C4—2444no—
1488C22×C4—2444no—
1489C22×C4—2444no—
1490C22×C4C23×D6111yescharacteristic
1491C22×C4C23×D6111yescharacteristic
1492Q16—41no—
1493Q16—41no—
1494Q16—2441no—
1495Q16—2441no—
1496Q16—2441no—
1497Q16—2441no—
1498Q16—2441no—
1499Q16—2441no—
1500SD16—22no—
1501SD16—1222no—
1502SD16—1222no—
1503SD16—1222no—
1504M16—41no—
1505M16—2441no—
1506M16—2441no—
1507M16—2441no—
1508C2×C8—41no—
1509C2×C8—611no—
1510C2×C8—611no—
1511C2×C8—611no—
1512C2×C8—611no—
1513C2×C8—1222no—
1514C2×C8—1222no—
1515C2×C8—1222no—
1516C2×C8—1222no—
1517C2×C8—2441no—
1518C2×C8—2441no—
1519C2×C8—2441no—
1520C2×C8C23×D6111yescharacteristic
1521C2×C8C23×D6111yescharacteristic
1522C2×C8C23×D6111yescharacteristic
1523C2×C8C23×D6111yescharacteristic
1524C4⋊C4—21no—
1525C4⋊C4—21no—
1526C4⋊C4—21no—
1527C4⋊C4—21no—
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—21no—
1532C4⋊C4—21no—
1533C4⋊C4—21no—
1534C4⋊C4—611no—
1535C4⋊C4—611no—
1536C4⋊C4—611no—
1537C4⋊C4—611no—
1538C4⋊C4—611no—
1539C4⋊C4—611no—
1540C4⋊C4—611no—
1541C4⋊C4—1221no—
1542C4⋊C4—1221no—
1543C4⋊C4—1221no—
1544C4⋊C4—1221no—
1545C4⋊C4—1221no—
1546C4⋊C4—1221no—
1547C4⋊C4—1221no—
1548C4⋊C4—1221no—
1549C4⋊C4—1221no—
1550C4⋊C4—1221no—
1551C4⋊C4—1221no—
1552C4⋊C4—1221no—
1553C4⋊C4—1221no—
1554C4⋊C4—1221no—
1555C4⋊C4—1221no—
1556C4⋊C4—1221no—
1557C4⋊C4—1221no—
1558C4⋊C4—1221no—
1559C4⋊C4—1221no—
1560C4⋊C4—1221no—
1561C4⋊C4—1221no—
1562C4⋊C4—1221no—
1563C4⋊C4—1221no—
1564C4⋊C4—1221no—
1565C4⋊C4—1221no—
1566C4⋊C4—1221no—
1567C4⋊C4—1221no—
1568C4⋊C4—1221no—
1569C4⋊C4—1221no—
1570C4⋊C4—1221no—
1571C4⋊C4—1221no—
1572C4⋊C4—1221no—
1573C4⋊C4—1221no—
1574C4⋊C4—1221no—
1575C4⋊C4D4×D6111yescharacteristic
1576C4⋊C4C23×D6111yescharacteristic
1577C4⋊C4C23×D6111yescharacteristic
1578C4⋊C4C23×D6111yescharacteristic
1579C4⋊C4C23×D6111yescharacteristic
1580C22⋊C4—21no—
1581C22⋊C4—21no—
1582C22⋊C4—21no—
1583C22⋊C4—21no—
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—611no—
1587C22⋊C4—611no—
1588C22⋊C4—611no—
1589C22⋊C4—611no—
1590C22⋊C4—611no—
1591C22⋊C4—611no—
1592C22⋊C4—1221no—
1593C22⋊C4—1221no—
1594C22⋊C4—1221no—
1595C22⋊C4—1221no—
1596C22⋊C4—1221no—
1597C22⋊C4—1221no—
1598C22⋊C4—1221no—
1599C22⋊C4—1221no—
1600C22⋊C4—1221no—
1601C22⋊C4—1221no—
1602C22⋊C4—1221no—
1603C22⋊C4—1221no—
1604C22⋊C4—1221no—
1605C22⋊C4—1221no—
1606C22⋊C4—1221no—
1607C22⋊C4—1221no—
1608C22⋊C4—1221no—
1609C22⋊C4—1221no—
1610C22⋊C4D4×D6111yescharacteristic
1611C22⋊C4D4×D6111yescharacteristic
1612C42—21no—
1613C42—21no—
1614C42—611no—
1615C42—611no—
1616C42—611no—
1617C42—1221no—
1618C42—1221no—
1619C42—1221no—
1620C42—1221no—
1621C42—1221no—
1622C42—1221no—
1623C42C23×D6111yescharacteristic
1624C23—21no—
1625C23—611no—
1626C23—611no—
1627C23—611no—
1628C23—1222no—
1629C23—1222no—
1630C23—1224no—
1631C23—1222no—
1632C23—1222no—
1633C23—1222no—
1634C23—1222no—
1635C23—1221no—
1636C23—2442no—
1637C23—2442no—
1638C23C2×D4×D6111yescharacteristic
1639C23C2×D4×D6111yescharacteristic
1640Q8—21no—
1641Q8—21no—
1642Q8—21no—
1643Q8—21no—
1644Q8—21no—
1645Q8—21no—
1646Q8—1221no—
1647Q8—1221no—
1648Q8—1221no—
1649Q8—1221no—
1650Q8—1221no—
1651Q8—1221no—
1652Q8—2442no—
1653Q8—2442no—
1654Q8—2442no—
1655D4—21no—
1656D4—41no—
1657D4—42no—
1658D4—42no—
1659D4—612no—
1660D4—1224no—
1661D4—1221no—
1662D4—2441no—
1663D4—2442no—
1664D4—2442no—
1665D4—2441no—
1666D4—2441no—
1667D4—2442no—
1668D4—2442no—
1669D4—2442no—
1670D4—2442no—
1671D4#41×D6112yes—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—42no—
1684C2×C4—42no—
1685C2×C4—42no—
1686C2×C4—42no—
1687C2×C4—611no—
1688C2×C4—612no—
1689C2×C4—612no—
1690C2×C4—611no—
1691C2×C4—611no—
1692C2×C4—611no—
1693C2×C4—611no—
1694C2×C4—1222no—
1695C2×C4—1222no—
1696C2×C4—1222no—
1697C2×C4—1222no—
1698C2×C4—1222no—
1699C2×C4—1222no—
1700C2×C4—1222no—
1701C2×C4—1222no—
1702C2×C4—1221no—
1703C2×C4—1221no—
1704C2×C4—1221no—
1705C2×C4—1221no—
1706C2×C4—1221no—
1707C2×C4—1221no—
1708C2×C4—1221no—
1709C2×C4—1221no—
1710C2×C4—1221no—
1711C2×C4—1221no—
1712C2×C4—1221no—
1713C2×C4—2442no—
1714C2×C4—2442no—
1715C2×C4—2442no—
1716C2×C4—2442no—
1717C2×C4—2442no—
1718C2×C4—2442no—
1719C2×C4—2442no—
1720C2×C4—2442no—
1721C2×C4—2442no—
1722C2×C4—2442no—
1723C2×C4—2442no—
1724C2×C4—2442no—
1725C2×C4—2442no—
1726C2×C4—2442no—
1727C2×C4—2442no—
1728C2×C4—2442no—
1729C2×C4—2442no—
1730C2×C4—2442no—
1731C2×C4—2442no—
1732C2×C4C2×D4×D6111yescharacteristic
1733C2×C4C2×D4×D6111yescharacteristic
1734C2×C4C2×D4×D6111yescharacteristic
1735C2×C4C2×D4×D6111yescharacteristic
1736C2×C4C24×D6111yescharacteristic
1737C8—21no—
1738C8—21no—
1739C8—21no—
1740C8—21no—
1741C8—1221no—
1742C8—1221no—
1743C8—1221no—
1744C8—1221no—
1745C22—21no—
1746C22—21no—
1747C22—22no—
1748C22—21no—
1749C22—21no—
1750C22—21no—
1751C22—21no—
1752C22—41no—
1753C22—41no—
1754C22—612no—
1755C22—612no—
1756C22—612no—
1757C22—1221no—
1758C22—1221no—
1759C22—1222no—
1760C22—1221no—
1761C22—1221no—
1762C22—1221no—
1763C22—1221no—
1764C22—2444no—
1765C22—2444no—
1766C22—2448no—
1767C22—2441no—
1768C22—2441no—
1769C22C22×D4×D6111yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—612no—
1782C4—1221no—
1783C4—1221no—
1784C4—1221no—
1785C4—1221no—
1786C4—2441no—
1787C4—2441no—
1788C4—2441no—
1789C4—2441no—
1790C4—2441no—
1791C4—2441no—
1792C4—2441no—
1793C4C2×#41×D6111yescharacteristic
1794C4H(5,𝔽2)×D6111yescharacteristic
1795C2—41no—
1796C2—41no—
1797C2—42no—
1798C2—614no—
1799C2—2441no—
1800C2—2441no—
1801C2—2442no—
1802C2#546×D6111yescharacteristic
1803C2#575×D6111yescharacteristic
1804C2#578×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3315C2
socleC22×C61C23×D4
prime radical#547×D61C2
hypercenter#3315D61
hypocenterC61C2×#3315
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3315

Complements

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

NH ≅ G/Ntype
1. #552×D61C2semidirect
3. #21457922C2semidirect
4. #21457921C2semidirect
5. #21457920C2semidirect
6. #21457919C2semidirect
7. #21457918C2semidirect
8. #21457917C2semidirect
9. #21457916C2semidirect
10. #21457915C2semidirect
11. #21457914C2semidirect
12. #21457913C2semidirect
13. #21457912C2semidirect
14. #21457911C2semidirect
15. #21457910C2semidirect
16. #21457909C2semidirect
17. #21457908C2semidirect
18. #491×D61C2semidirect
19. #484×D61C2semidirect
20. #485×D61C2semidirect
21. #478×D61C2semidirect
22. #470×D61C2semidirect
23. #467×D61C2semidirect
24. #462×D61C2semidirect
25. #452×D61C2semidirect
26. #452×D61C2semidirect
27. #440×D61C2semidirect
28. #435×D61C2semidirect
29. #417×D61C2semidirect
30. #416×D61C2semidirect
31. C61×#3315C2semidirect
39. #16840454C22semidirect
40. #16840453C22semidirect
41. #16840452C22semidirect
42. #16840451C22semidirect
43. #16840450C22semidirect
46. #16840447C22semidirect
47. #16840446C22semidirect
80. #16840132C22semidirect
81. #16840131C22semidirect
82. #16840130C22semidirect
83. #16840129C22semidirect
84. #16840129C22semidirect
85. #16840129C22semidirect
86. #16840129C22semidirect
87. #16840106C22semidirect
88. #16840105C22semidirect
89. #16840104C22semidirect
90. #16840103C22semidirect
91. #16840102C22semidirect
92. #16840101C22semidirect
93. #16840100C22semidirect
94. #16840099C22semidirect
95. #16840099C22semidirect
96. #16840098C22semidirect
97. #16840097C22semidirect
98. #16840096C22semidirect
99. #16840096C22semidirect
100. #16840095C22semidirect
101. #16840065C22semidirect
102. #16840064C22semidirect
103. #16840063C22semidirect
104. #16840062C22semidirect
105. #16840061C22semidirect
106. #16840060C22semidirect
107. #16840059C22semidirect
108. #16840021C22semidirect
109. #16840020C22semidirect
110. #16840019C22semidirect
111. #16840019C22semidirect
112. #16840018C22semidirect
113. #16840018C22semidirect
114. #16840017C22semidirect
115. #16840004C22semidirect
116. #16840003C22semidirect
117. #16840002C22semidirect
118. #16840002C22semidirect
119. #16840001C22semidirect
120. #16840001C22semidirect
121. #16840000C22semidirect
122. #16839973C22semidirect
123. #16839972C22semidirect
124. #16839971C22semidirect
125. #16839971C22semidirect
126. #16839970C22semidirect
127. #16839970C22semidirect
128. #16839969C22semidirect
129. #16839927C22semidirect
130. #16839927C22semidirect
131. #16839926C22semidirect
132. #16839926C22semidirect
133. #16839925C22semidirect
134. #16839925C22semidirect
135. #16839924C22semidirect
136. #16839924C22semidirect
137. #16839923C22semidirect
138. #16839923C22semidirect
139. #16839922C22semidirect
140. #16839922C22semidirect
141. #16839921C22semidirect
142. #16839921C22semidirect
143. #16839865C22semidirect
144. #16839864C22semidirect
145. #16839863C22semidirect
146. #16839862C22semidirect
147. #16839861C22semidirect
148. #16839860C22semidirect
149. #16839859C22semidirect
150. #16839836C22semidirect
151. #16839835C22semidirect
152. #16839834C22semidirect
153. #16839833C22semidirect
154. #16839832C22semidirect
155. #16839831C22semidirect
156. #16839830C22semidirect
161. #16839764C22semidirect
162. #16839763C22semidirect
163. #16839762C22semidirect
164. #16839762C22semidirect
165. #16839761C22semidirect
166. #16839760C22semidirect
167. #16839760C22semidirect
168. #16839759C22semidirect
169. #16839758C22semidirect
170. #16839757C22semidirect
171. #16839757C22semidirect
172. #16839756C22semidirect
173. #16839755C22semidirect
174. #16839755C22semidirect
188. C61×#552C22semidirect
190. C61×#491C22semidirect
191. C61×#485C22semidirect
192. C61×#484C22semidirect
193. C61×#478C22semidirect
194. C61×#470C22semidirect
195. C61×#467C22semidirect
196. C61×#462C22semidirect
197. C61×#452C22semidirect
198. C61×#452C22semidirect
199. C61×#440C22semidirect
200. C61×#435C22semidirect
201. C61×#417C22semidirect
202. C61×#416C22semidirect
910. #3315D61direct (N × H)
933. D61#3315direct (N × H)
952. #552C2×D61semidirect
991. #491C2×D61semidirect
999. #485C2×D61semidirect
1007. #484C2×D61semidirect
1015. #478C2×D61semidirect
1023. #470C2×D61semidirect
1031. #467C2×D61semidirect
1039. #462C2×D61semidirect
1054. #452C2×D61semidirect
1055. #452C2×D61semidirect
1063. #440C2×D61semidirect
1071. #435C2×D61semidirect
1083. #417C2×D61semidirect
1091. #416C2×D61semidirect
1105. C61C2×#3315semidirect

Maximal subgroups

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

subgroupindex
#552×D612
#547×D612
#214579222
#214579212
#214579202
#214579192
#214579182
#214579172
#214579162
#214579152
#214579142
#214579132
#214579122
#214579112
#214579102
#214579092
#214579082
#491×D612
#484×D612
#485×D612
#478×D612
#470×D612
#467×D612
#462×D612
#452×D612
#440×D612
#435×D612
#417×D612
#416×D612
C61×#33152
C2×#331561