Finite Group Databasebeta

← #30576935

Subgroups — #30576935

Order 15616.

1702 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460470C211yesmaximal, characteristic, complemented
2#21459821C211yesmaximal, characteristic, complemented
3#21458786C211yesmaximal, characteristic, complemented
4#21458761C211yesmaximal, characteristic, complemented
5#21458543C211yesmaximal, characteristic, complemented
6#21458530C211yesmaximal, characteristic, complemented
7#21458361C211yesmaximal, characteristic, complemented
8#21458314C211yesmaximal, characteristic, complemented
9#21458295C211yesmaximal, characteristic, complemented
10#21458254C211yesmaximal, characteristic, complemented
11#21458218C211yesmaximal, characteristic, complemented
12#21458204C211yesmaximal, characteristic, complemented
13#21457951C211yesmaximal, characteristic, complemented
14#21457940C211yesmaximal, characteristic, complemented
15#21457832C211yesmaximal, characteristic, complemented
16#21457820C211yesmaximal, characteristic, complemented
17#21457764C211yesmaximal, characteristic, complemented
18#21457761C211yesmaximal, characteristic, complemented
19#21457235C211yesmaximal, characteristic, complemented
20#21457142C211yesmaximal, characteristic, complemented
21#21457071C211yesmaximal, characteristic, complemented
22#21457066C211yesmaximal, characteristic, complemented
23#21457016C211yesmaximal, characteristic, complemented
24#21456093C211yesmaximal, characteristic, complemented
25#21456075C211yesmaximal, characteristic, complemented
26#21455925C211yesmaximal, characteristic, complemented
27#21455683C211yesmaximal, characteristic, complemented
28#21455665C211yesmaximal, characteristic, complemented
29#21455608C211yesmaximal, characteristic, complemented
30#21454956C211yesmaximal, characteristic, complemented
31C61×#3257C211yesmaximal, characteristic, complemented
32#16840513—21no—
33#16840506—21no—
34#16840489C2211yescharacteristic
35#16840488C2211yescharacteristic
36#16840485C2211yescharacteristic
37#16840481—21no—
38#16840476C2211yescharacteristic
39#16840469C2211yescharacteristic
40#16840465C2211yescharacteristic
41#16840464C2211yescharacteristic
42#16840464C2211yescharacteristic
43#16840462C2211yescharacteristic
44#16840457—21no—
45#16840455—21no—
46#16840454—21no—
47#16840454C2211yescharacteristic
48#16840446C2211yescharacteristic
49#16840432C2211yescharacteristic
50#16840432C2211yescharacteristic
51#16840430—21no—
52#16840430C2211yescharacteristic
53#16840430C2211yescharacteristic
54#16840412C2211yescharacteristic
55#16840410—21no—
56#16840390C2211yescharacteristic
57#16840389C2211yescharacteristic
58#16840381C2211yescharacteristic
59#16840380—21no—
60#16840378—21no—
61#16840369—21no—
62#16840364—21no—
63#16840363C2211yescharacteristic
64#16840362—21no—
65#16840356—21no—
66#16840317C2211yescharacteristic
67#16840309C2211yescharacteristic
68#16840307—21no—
69#16840291C2211yescharacteristic
70#16840290C2211yescharacteristic
71#16840289—21no—
72#16840242C2211yescharacteristic
73#16840241C2211yescharacteristic
74C4×#11758224C2211yescharacteristic
75#16840172C2211yescharacteristic
76#16840170C2211yescharacteristic
77#16840170C2211yescharacteristic
78#16840169C2211yescharacteristic
79#16840162C2211yescharacteristic
80#16840161C2211yescharacteristic
81#16840126C2211yescharacteristic
82#16840125C2211yescharacteristic
83#16840125C2211yescharacteristic
84#16840125C2211yescharacteristic
85#16840108C2211yescharacteristic
86#16840107C2211yescharacteristic
87#16840101C2211yescharacteristic
88#16840095C2211yescharacteristic
89#16840091C2211yescharacteristic
90#16840089C2211yescharacteristic
91#16840089C2211yescharacteristic
92#16840088C2211yescharacteristic
93#16840085C2211yescharacteristic
94#16840085C2211yescharacteristic
95#16840085C2211yescharacteristic
96#16840084C2211yescharacteristic
97#16840083C2211yescharacteristic
98#16840083C2211yescharacteristic
99#16840082C2211yescharacteristic
100#16840079C2211yescharacteristic
101#16840078C2211yescharacteristic
102#16840074C2211yescharacteristic
103#16840073C2211yescharacteristic
104#16840073C2211yescharacteristic
105#16840072C2211yescharacteristic
106#16840072C2211yescharacteristic
107#16840070C2211yescharacteristic
108#16840070C2211yescharacteristic
109#16840068C2211yescharacteristic
110#16840067C2211yescharacteristic
111#16840064C2211yescharacteristic
112#16840064C2211yescharacteristic
113#16840064C2211yescharacteristic
114#16840064C2211yescharacteristic
115#16840063C2211yescharacteristic
116#16840063C2211yescharacteristic
117#16840062C2211yescharacteristic
118#16840062C2211yescharacteristic
119#16840056C2211yescharacteristic
120#16840055C2211yescharacteristic
121#16840054C2211yescharacteristic
122#16840053C2211yescharacteristic
123#16840053C2211yescharacteristic
124#16840052C2211yescharacteristic
125#16840050C2211yescharacteristic
126#16840048C2211yescharacteristic
127#16840048C2211yescharacteristic
128#16840042C2211yescharacteristic
129#16840040C2211yescharacteristic
130#16840039C2211yescharacteristic
131#16840012C2211yescharacteristic
132#16840011C2211yescharacteristic
133#16839997C2211yescharacteristic
134#16839997C2211yescharacteristic
135#16839995C2211yescharacteristic
136#16839994C2211yescharacteristic
137#16839988C2211yescharacteristic
138#16839988C2211yescharacteristic
139#16839981C2211yescharacteristic
140#16839974C2211yescharacteristic
141#16839960C2211yescharacteristic
142#16839960C2211yescharacteristic
143#16839955C2211yescharacteristic
144#16839955C2211yescharacteristic
145#16839922C2211yescharacteristic
146#16839921C2211yescharacteristic
147#16839921C2211yescharacteristic
148#16839905C2211yescharacteristic
149#16839904C2211yescharacteristic
150#16839904C2211yescharacteristic
151#16839891C2211yescharacteristic
152#16839889C2211yescharacteristic
153#16839874C2211yescharacteristic
154#16839874C2211yescharacteristic
155#16839866C2211yescharacteristic
156#16839866C2211yescharacteristic
157#16839863C2211yescharacteristic
158#16839862C2211yescharacteristic
159#16839860C2211yescharacteristic
160#16839859C2211yescharacteristic
161C4×#11758202C2211yescharacteristic
162#16839853C2211yescharacteristic
163SD16×Dic61C2211yescharacteristic
164C4×#11758199C2211yescharacteristic
165#16839833C2211yescharacteristic
166#16839832C2211yescharacteristic
167#16839831C2211yescharacteristic
168#16839831C2211yescharacteristic
169#16839827C2211yescharacteristic
170C8×C22⋊D61C2211yescharacteristic
171#16839823C2211yescharacteristic
172#16839822C2211yescharacteristic
173#16839818C2211yescharacteristic
174#16839804C2211yescharacteristic
175#16839803C2211yescharacteristic
176#16839797C2211yescharacteristic
177#16839797C2211yescharacteristic
178#107×D61C2211yescharacteristic
179C2×#14519709C2211yescharacteristic
180#16839787C2211yescharacteristic
181C4⋊C8×D61C2211yescharacteristic
182#16839764C2211yescharacteristic
183#16839760C2211yescharacteristic
184#16839759C2211yescharacteristic
185#16839755C2211yescharacteristic
186#16839755C2211yescharacteristic
187#16839755C2211yescharacteristic
188C61×#542C2211yescharacteristic
189C61×#540C2211yescharacteristic
190C61×#479C2211yescharacteristic
191C61×#478C2211yescharacteristic
192C61×#476C2211yescharacteristic
193C61×#474C2211yescharacteristic
194C61×#469C2211yescharacteristic
195C61×#468C2211yescharacteristic
196C61×#466C2211yescharacteristic
197C61×#465C2211yescharacteristic
198C61×#463C2211yescharacteristic
199C61×#463C2211yescharacteristic
200C61×#460C2211yescharacteristic
201C61×#459C2211yescharacteristic
202C61×#424C2211yescharacteristic
203C2×#11758222—21no—
204C2×#11758222C2311yescharacteristic
205C2×#11758224—21no—
206C2×#11758224—21no—
207C2×#11758224C2311yescharacteristic
208C2×#11758224C2311yescharacteristic
209C2×#11758202C2311yescharacteristic
210C2×#11758200C2311yescharacteristic
211C2×#11758201C2311yescharacteristic
212C2×#11758199C2311yescharacteristic
213C2×#11758189C2311yescharacteristic
214C2×C8×D61C2311yescharacteristic
215C2×C8×D61C2311yescharacteristic
216C2×C8×D61C2311yescharacteristic
217#14519777C2311yescharacteristic
218#14519777C2311yescharacteristic
219#14519776—21no—
220#14519776—21no—
221#14519776—21no—
222#14519776C2311yescharacteristic
223#14519776C2311yescharacteristic
224#14519775—21no—
225#14519773—21no—
226#14519773—21no—
227#14519773—21no—
228#14519773C2311yescharacteristic
229#14519773C2311yescharacteristic
230#14519772—21no—
231#14519772—21no—
232#14519772—21no—
233#14519772—21no—
234#14519772D411yescharacteristic
235#14519770—21no—
236#14519770—21no—
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519770D411yescharacteristic
242#14519769—21no—
243#14519769C2311yescharacteristic
244#14519769C2311yescharacteristic
245#14519768—21no—
246#14519768—21no—
247#14519768—21no—
248#14519768C2311yescharacteristic
249#14519768C2311yescharacteristic
250#14519768C2311yescharacteristic
251#14519768C2311yescharacteristic
252#14519767—21no—
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767D411yescharacteristic
257#14519765—21no—
258#14519764—21no—
259#14519763—21no—
260#14519763—21no—
261#14519763—21no—
262#14519763D411yescharacteristic
263#14519762—21no—
264#14519762D411yescharacteristic
265#14519761—21no—
266#14519761—21no—
267#14519761—21no—
268#14519761—21no—
269#14519760—21no—
270#14519760—21no—
271#14519759—21no—
272#14519759—21no—
273#14519759—21no—
274#14519759—21no—
275#14519759D411yescharacteristic
276#14519758—21no—
277#14519757—21no—
278#14519756—21no—
279#14519755—21no—
280#14519755D411yescharacteristic
281#14519754—21no—
282#14519754—21no—
283#14519754—21no—
284#14519754—21no—
285#14519754—21no—
286#14519754—21no—
287#14519753—21no—
288#14519753—21no—
289#14519753C2311yescharacteristic
290#14519753C2311yescharacteristic
291#14519752—21no—
292#14519752C2311yescharacteristic
293#14519752C2311yescharacteristic
294#14519751—21no—
295#14519750—21no—
296#14519750—21no—
297#14519750—21no—
298#14519750—21no—
299#14519750—21no—
300#14519750D411yescharacteristic
301#14519749—21no—
302#14519749—21no—
303#14519749—21no—
304#14519749—21no—
305#14519749—21no—
306#14519749—21no—
307#14519749—21no—
308#14519749—21no—
309#14519749—21no—
310#14519748—21no—
311#14519748C2311yescharacteristic
312#14519748C2311yescharacteristic
313#14519748C2311yescharacteristic
314#14519748C2311yescharacteristic
315Q8×Dic61—21no—
316Q8×Dic61C2311yescharacteristic
317Q8×Dic61C2311yescharacteristic
318C4×Dic122—21no—
319C4×Dic122—21no—
320C4×Dic122C2311yescharacteristic
321C4×Dic122C2311yescharacteristic
322C4×Dic122C2311yescharacteristic
323#14519742—21no—
324#14519742—21no—
325#14519742C2311yescharacteristic
326#14519742C2311yescharacteristic
327C4×D244C2311yescharacteristic
328C4×D244C2311yescharacteristic
329C4×D244C2311yescharacteristic
330D4×Dic61—21no—
331D4×Dic61—21no—
332D4×Dic61—21no—
333D4×Dic61C2311yescharacteristic
334D4×Dic61C2311yescharacteristic
335D4×Dic61C2311yescharacteristic
336D4×Dic61C2311yescharacteristic
337#14519739—21no—
338C4×C22⋊D61—21no—
339C4×C22⋊D61—21no—
340C4×C22⋊D61—21no—
341C4×C22⋊D61—21no—
342C4×C22⋊D61C2311yescharacteristic
343C4×C22⋊D61C2311yescharacteristic
344#14519737—21no—
345#14519737—21no—
346#14519737—21no—
347#14519737—21no—
348#14519737—21no—
349#14519737—21no—
350#14519737—21no—
351#14519736C2311yescharacteristic
352#14519735—21no—
353#14519735—21no—
354#14519735C2311yescharacteristic
355#14519735C2311yescharacteristic
356#14519735C2311yescharacteristic
357#14519735C2311yescharacteristic
358#14519734C2311yescharacteristic
359#14519733—21no—
360#14519733—21no—
361#14519733—21no—
362#14519733—21no—
363#14519733—21no—
364C2×C4⋊Dic61—21no—
365C2×C4⋊Dic61C2311yescharacteristic
366C2×C4⋊Dic61C2311yescharacteristic
367C2×#11758196—21no—
368C4⋊C4×D61—21no—
369C4⋊C4×D61C2311yescharacteristic
370C4⋊C4×D61C2311yescharacteristic
371C2×C4×Dic61—21no—
372C42×D61C2311yescharacteristic
373#14519711C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519710C2311yescharacteristic
376#14519710C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393C4⋊#92418C2311yescharacteristic
394C4⋊#92418C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519698C2311yescharacteristic
412#14519698C2311yescharacteristic
413#14519698C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423C22⋊#92418C2311yescharacteristic
424C22⋊#92418C2311yescharacteristic
425#14519689C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519688C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C4×#92418C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×SD16×C61C2311yescharacteristic
436C2×SD16×C61C2311yescharacteristic
437C2×D8×C61C2311yescharacteristic
438C2×D8×C61C2311yescharacteristic
439C2×M16×C61C2311yescharacteristic
440C22×C8×C61C2311yescharacteristic
441C4⋊Q8×C61C2311yescharacteristic
442#127×C61C2311yescharacteristic
443#126×C61—21no—
444#125×C61C2311yescharacteristic
445#124×C61—21no—
446#124×C61C2311yescharacteristic
447#123×C61—21no—
448#123×C61—21no—
449#123×C61—21no—
450C22⋊Q8×C61—21no—
451C22⋊Q8×C61C2311yescharacteristic
452#121×C61—21no—
453#121×C61—21no—
454#121×C61C2311yescharacteristic
455#121×C61C2311yescharacteristic
456#121×C61C2311yescharacteristic
457C4×Q8×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459C4×D4×C61C2311yescharacteristic
460C4×D4×C61C2311yescharacteristic
461#117×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469C4⋊C8×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×Q8×C61C2411yescharacteristic
480C2×D4×C61—21no—
481C2×D4×C61—21no—
482C2×D4×C61—21no—
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61C2411yescharacteristic
486C2×D4×C61C2411yescharacteristic
487C2×D4×C61C2411yescharacteristic
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61C2411yescharacteristic
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61C2×D411yescharacteristic
504C2×C22⋊D61C2×D411yescharacteristic
505C22×Dic61—21no—
506C22×Dic61—21no—
507C22×Dic61—21no—
508C22×Dic61—21no—
509C22×Dic61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513#11758224—22no—
514#11758224—22no—
515#11758224—41no—
516#11758224—41no—
517#11758224—82no—
518#11758224—82no—
519#11758222—22no—
520#11758222—41no—
521#11758222—82no—
522C2×D244—21no—
523C2×D244—21no—
524C2×D244C2×D411yescharacteristic
525C2×D244C2411yescharacteristic
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61C2×D411yescharacteristic
532C2×C4×D61C2×D411yescharacteristic
533C2×C4×D61C2411yescharacteristic
534C2×C4×D61C2411yescharacteristic
535C2×Dic122—21no—
536C2×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122C2×D411yescharacteristic
540C2×Dic122C2411yescharacteristic
541SD16×C61—41no—
542SD16×C61—41no—
543D8×C61—41no—
544D8×C61—41no—
545M16×C61—41no—
546C2×C8×C61—41no—
547C2×C8×C61C2411yescharacteristic
548C2×C8×C61C2411yescharacteristic
549C2×C8×C61C2411yescharacteristic
550C2×C8×C61C2411yescharacteristic
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61C2×D411yescharacteristic
557C4⋊C4×C61C2×D411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C22⋊C4×C61—21no—
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61C2×D411yescharacteristic
572C22⋊C4×C61C2×D411yescharacteristic
573C42×C61—21no—
574C42×C61C2411yescharacteristic
575C42×C61C2411yescharacteristic
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61C2×D411yescharacteristic
586C22⋊Dic61C2×D411yescharacteristic
587#11758202—22no—
588#11758201—41no—
589#11758200—22no—
590#11758199—41no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198C2×D411yescharacteristic
602#11758198C2×D411yescharacteristic
603#11758198C2×D411yescharacteristic
604#11758198C2×D411yescharacteristic
605#11758198C2×D411yescharacteristic
606#11758198C2×D411yescharacteristic
607C4⋊Dic61—21no—
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61C2×D411yescharacteristic
618C4⋊Dic61C2×D411yescharacteristic
619C4⋊Dic61C2411yescharacteristic
620C4⋊Dic61C2411yescharacteristic
621C4⋊Dic61C2411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2411yescharacteristic
663C4×Dic61C2411yescharacteristic
664C2×#92418C2411yescharacteristic
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668#11758189—41no—
669C8×D61—41no—
670C8×D61—41no—
671C8×D61—41no—
672C23×C61—21no—
673C23×C61—21no—
674C23×C61—21no—
675C23×C61C22×D411yescharacteristic
676C22×D61—21no—
677C22×D61C22×D411yescharacteristic
678C22×D61C22×D411yescharacteristic
679Q8×C61—21no—
680Q8×C61—21no—
681Q8×C61—81no—
682D4×C61—21no—
683D4×C61—21no—
684D4×C61—21no—
685D4×C61—21no—
686D4×C61—21no—
687D4×C61—21no—
688D4×C61—81no—
689D4×C61—81no—
690D4×C61—81no—
691D4×C61—81no—
692D4×C61—81no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—81no—
701C2×C4×C61—81no—
702C2×C4×C61—81no—
703C2×C4×C61C22×D411yescharacteristic
704C2×C4×C61C22×D411yescharacteristic
705C2×C4×C61C22×D411yescharacteristic
706C2×C4×C61C22×D411yescharacteristic
707C2×C4×C61C22×D411yescharacteristic
708C2×C4×C61C2511yescharacteristic
709C22⋊D61—41no—
710C22⋊D61—41no—
711C22⋊D61—42no—
712C22⋊D61—42no—
713C22⋊D61—42no—
714C22⋊D61—42no—
715C22⋊D61—81no—
716C22⋊D61—81no—
717C22⋊D61—81no—
718C22⋊D61—81no—
719C22⋊D61—81no—
720C22⋊D61—81no—
721C22⋊D61—81no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—42no—
730C2×Dic61—42no—
731C2×Dic61—42no—
732C2×Dic61—81no—
733C2×Dic61—81no—
734C2×Dic61—81no—
735C2×Dic61—81no—
736C2×Dic61—81no—
737C2×Dic61C22×D411yescharacteristic
738C2×Dic61C22×D411yescharacteristic
739C2×Dic61C22×D411yescharacteristic
740C2×Dic61C22×D411yescharacteristic
741C2×Dic61C22×D411yescharacteristic
742C2×Dic61C22×D411yescharacteristic
743D244—21no—
744D244—21no—
745D244—41no—
746D244—81no—
747D244—81no—
748C4×D61—21no—
749C4×D61—21no—
750C4×D61—21no—
751C4×D61—21no—
752C4×D61—41no—
753C4×D61—41no—
754C4×D61—42no—
755C4×D61—81no—
756C4×D61—81no—
757C4×D61—81no—
758C4×D61—81no—
759Dic122—21no—
760Dic122—41no—
761Dic122—42no—
762Dic122—81no—
763Dic122—81no—
764Dic122—81no—
765Dic1222−1+412yes—
766C8×C61—21no—
767C8×C61—21no—
768C8×C61—21no—
769C8×C61—21no—
770#92418—21no—
771#92418—21no—
772#92418—21no—
773#92418—21no—
774#62162—611nomaximal, Sylow
775C22×C61—21no—
776C22×C61—21no—
777C22×C61—21no—
778C22×C61—41no—
779C22×C61—41no—
780C22×C61—41no—
781C22×C61—41no—
782C22×C61—41no—
783C22×C61—41no—
784C22×C61—41no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61C23×D411yescharacteristic
788C2×D61—21no—
789C2×D61—21no—
790C2×D61—21no—
791C2×D61—21no—
792C2×D61—21no—
793C2×D61—21no—
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—41no—
797C4×C61—21no—
798C4×C61—21no—
799C4×C61—21no—
800C4×C61—21no—
801C4×C61—21no—
802C4×C61—41no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61C2×2−1+411yescharacteristic
808C4×C61#58511yescharacteristic
809Dic61—21no—
810Dic61—21no—
811Dic61—21no—
812Dic61—21no—
813Dic61—22no—
814Dic61—21no—
815Dic61—21no—
816Dic61—41no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822#3565—611no—
823#3517—611no—
824#3390—611no—
825#3388—611no—
826#3368—611no—
827#3366—611no—
828#3350—611no—
829#3347—611no—
830#3345—611no—
831#3343—611no—
832#3339—611no—
833#3337—611no—
834#3317—611no—
835#3317—611no—
836#3309—611no—
837#3309—611no—
838#3305—611no—
839#3304—611no—
840#3257—611no—
841#3257D6111yescharacteristic, complemented
842#3247—611no—
843#3241—611no—
844#3241—611no—
845#3235—611no—
846#3125—611no—
847#3124—611no—
848#3111—611no—
849#3084—611no—
850#3083—611no—
851#3076—611no—
852#2992—611no—
853C2×C61—41no—
854C2×C61—81no—
855C2×C61—81no—
856C2×C61—81no—
857C2×C61#348911yescharacteristic
858C2×C61#358411yescharacteristic
859C2×C61#358511yescharacteristic
860D61—41no—
861D61—41no—
862D61—81no—
863#563—1221no—
864#562—1221no—
865#557—611no—
866#557—611no—
867#556—611no—
868#556—1221no—
869#555—611no—
870#554—611no—
871#553—611no—
872#553—611no—
873#553—611no—
874#553—611no—
875#553—1221no—
876#553—1221no—
877#552—611no—
878#552—611no—
879#552—1221no—
880#550—611no—
881#550—611no—
882#550—611no—
883#550—611no—
884#550—1221no—
885#547—611no—
886#547—1221no—
887#544—611no—
888#544—611no—
889#542—611no—
890#542—1221no—
891#542—1221no—
892#542C2×D6111yescharacteristic
893#541—1221no—
894#540—611no—
895#540—1221no—
896#540—1221no—
897#540C2×D6111yescharacteristic
898#539—1221no—
899#533—611no—
900#532—611no—
901#532—1221no—
902#529—611no—
903#529—611no—
904#529—1221no—
905#520—611no—
906#520—611no—
907C4×#41—611no—
908#501—611no—
909#501—611no—
910#501—611no—
911#501—611no—
912#499—611no—
913#499—611no—
914#490—611no—
915#490—611no—
916#490—611no—
917#490—611no—
918#486—611no—
919#486—611no—
920#485—611no—
921#484—611no—
922#483—611no—
923#482—611no—
924#482—611no—
925#482—611no—
926#482—611no—
927#482—611no—
928#482—611no—
929#482—611no—
930#482—611no—
931#482—611no—
932#481—611no—
933#481—611no—
934#481—611no—
935#480—611no—
936#480—611no—
937#480—611no—
938#479—611no—
939#479—611no—
940#479—611no—
941#479—611no—
942#479—611no—
943#479—611no—
944#479C2×D6111yescharacteristic
945#478—611no—
946#478—611no—
947#478—611no—
948#478—611no—
949#478—611no—
950#478—611no—
951#478—611no—
952#478—611no—
953#478C2×D6111yescharacteristic
954#477—611no—
955#477—611no—
956#477—611no—
957#476—611no—
958#476—611no—
959#476—611no—
960#476—611no—
961#476C2×D6111yescharacteristic
962#475—611no—
963#475—611no—
964#474—611no—
965#474—611no—
966#474—611no—
967#474C2×D6111yescharacteristic
968#469—611no—
969#469C2×D6111yescharacteristic
970#468—611no—
971#468C2×D6111yescharacteristic
972#466—611no—
973#466—611no—
974#466—611no—
975#466C2×D6111yescharacteristic
976#465—611no—
977#465—611no—
978#465—611no—
979#465C2×D6111yescharacteristic
980#464—611no—
981#463—611no—
982#463C2×D6111yescharacteristic
983#463C2×D6111yescharacteristic
984#460—611no—
985#460—611no—
986#460C2×D6111yescharacteristic
987#459—611no—
988#459—611no—
989#459C2×D6111yescharacteristic
990#452—611no—
991#452—611no—
992#452—611no—
993#449—611no—
994#449—611no—
995#449—611no—
996#446—611no—
997#446—611no—
998#442—611no—
999#442—611no—
1000#441—611no—
1001#441—611no—
1002#440—611no—
1003#440—611no—
1004#440—611no—
1005#440—611no—
1006C4×Q16—611no—
1007C4×SD16—611no—
1008C4×SD16—611no—
1009C4×D8—611no—
1010#435—611no—
1011#435—611no—
1012#435—611no—
1013#435—611no—
1014C8×D4—611no—
1015C8×D4—611no—
1016#433—611no—
1017#433—611no—
1018#432—611no—
1019#428—611no—
1020#428—611no—
1021#427—611no—
1022#427—611no—
1023C2×#107—611no—
1024C2×#106—611no—
1025#424—611no—
1026#424C2×D6111yescharacteristic
1027C2×C4⋊C8—611no—
1028#417—611no—
1029#417—611no—
1030#416—611no—
1031#416—611no—
1032#416—611no—
1033#416—611no—
1034C61#6216211yescharacteristic, complemented, Sylow
1035C2×#41—611no—
1036C2×#41—611no—
1037C2×#41—611no—
1038C2×#41—1221no—
1039C2×#41—1221no—
1040C2×#41—1221no—
1041C2×Q16—611no—
1042C2×SD16—611no—
1043C2×SD16—611no—
1044C2×SD16C22×D6111yescharacteristic
1045C2×SD16C22×D6111yescharacteristic
1046C2×D8—611no—
1047C2×D8C22×D6111yescharacteristic
1048C2×D8C22×D6111yescharacteristic
1049C2×M16—611no—
1050C2×M16C22×D6111yescharacteristic
1051C22×C8—611no—
1052C22×C8—611no—
1053C22×C8—611no—
1054C22×C8C22×D6111yescharacteristic
1055C4⋊Q8—611no—
1056C4⋊Q8—611no—
1057C4⋊Q8—611no—
1058C4⋊Q8—611no—
1059C4⋊Q8—1221no—
1060C4⋊Q8—1221no—
1061C4⋊Q8—1221no—
1062C4⋊Q8—1221no—
1063C4⋊Q8C22×D6111yescharacteristic
1064#127—611no—
1065#127—611no—
1066#127—1221no—
1067#127—1221no—
1068#127—1221no—
1069#127C22×D6111yescharacteristic
1070#126—21no—
1071#126—611no—
1072#126—611no—
1073#126—1221no—
1074#126—1221no—
1075#126—1221no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#125—611no—
1084#125—611no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—611no—
1089#125—611no—
1090#125—1221no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125—1221no—
1098#125C22×D6111yescharacteristic
1099#124—21no—
1100#124—611no—
1101#124—1221no—
1102#124—1221no—
1103#124—1221no—
1104#124—1221no—
1105#124—1221no—
1106#124C22×D6111yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—21no—
1110#123—611no—
1111#123—611no—
1112#123—1221no—
1113#123—1221no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122#123—1221no—
1123#123—1221no—
1124C22⋊Q8—21no—
1125C22⋊Q8—611no—
1126C22⋊Q8—611no—
1127C22⋊Q8—611no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8C22×D6111yescharacteristic
1140#121—21no—
1141#121—21no—
1142#121—611no—
1143#121—611no—
1144#121—611no—
1145#121—611no—
1146#121—611no—
1147#121—611no—
1148#121—611no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155#121—1221no—
1156#121—1221no—
1157#121—1221no—
1158#121—1221no—
1159#121—1221no—
1160#121—1221no—
1161#121—1221no—
1162#121—1221no—
1163#121—1221no—
1164#121—1221no—
1165#121—1221no—
1166#121C22×D6111yescharacteristic
1167#121C22×D6111yescharacteristic
1168#121C22×D6111yescharacteristic
1169C4×Q8—611no—
1170C4×Q8—611no—
1171C4×Q8—611no—
1172C4×Q8—611no—
1173C4×Q8—611no—
1174C4×Q8—611no—
1175C4×Q8—611no—
1176C4×Q8—1221no—
1177C4×Q8—1221no—
1178C4×Q8—1221no—
1179C4×Q8—1221no—
1180C4×Q8—1221no—
1181C4×Q8C22×D6111yescharacteristic
1182C4×D4—611no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—611no—
1187C4×D4—611no—
1188C4×D4—611no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4—1221no—
1203C4×D4—1221no—
1204C4×D4—1221no—
1205C4×D4—1221no—
1206C4×D4C22×D6111yescharacteristic
1207C4×D4C22×D6111yescharacteristic
1208C4×D4C22×D6111yescharacteristic
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—611no—
1213#117—611no—
1214#117—611no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221#117—1221no—
1222#117C22×D6111yescharacteristic
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C42—611no—
1231C2×C42—1221no—
1232#107—611no—
1233#107—611no—
1234#107—611no—
1235#107—611no—
1236#107—611no—
1237#107—611no—
1238#107—611no—
1239#107—611no—
1240#107—611no—
1241#107—611no—
1242#107C22×D6111yescharacteristic
1243#107C22×D6111yescharacteristic
1244#106—611no—
1245#106—611no—
1246#106—611no—
1247#106—611no—
1248#106—611no—
1249#106—611no—
1250#106—611no—
1251#106—611no—
1252#106—611no—
1253#106—611no—
1254#106C22×D6111yescharacteristic
1255#106C22×D6111yescharacteristic
1256C4⋊C8—611no—
1257C4⋊C8—611no—
1258C4⋊C8—611no—
1259C4⋊C8—611no—
1260C4⋊C8—611no—
1261C4⋊C8—611no—
1262C4⋊C8C22×D6111yescharacteristic
1263C4⋊C8C22×D6111yescharacteristic
1264C4⋊C8C22×D6111yescharacteristic
1265C4⋊C8C22×D6111yescharacteristic
1266#103—611no—
1267#103—611no—
1268#103—611no—
1269#103—611no—
1270#103—611no—
1271#103—611no—
1272#103—611no—
1273#103—611no—
1274#103C22×D6111yescharacteristic
1275#103C22×D6111yescharacteristic
1276#102—611no—
1277#102—611no—
1278#102—611no—
1279#102—611no—
1280#102—611no—
1281#102—611no—
1282#102—611no—
1283#102—611no—
1284#102—611no—
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102C22×D6111yescharacteristic
1293#102C22×D6111yescharacteristic
1294#102C22×D6111yescharacteristic
1295#102C22×D6111yescharacteristic
1296#102C22×D6111yescharacteristic
1297#102C22×D6111yescharacteristic
1298C22⋊C8—611no—
1299C22⋊C8—611no—
1300C22⋊C8—611no—
1301C22⋊C8—611no—
1302C22⋊C8—611no—
1303C22⋊C8—611no—
1304#97—611no—
1305#97—611no—
1306#97—611no—
1307#97—611no—
1308C4×C8—611no—
1309C4×C8—611no—
1310#41—1222no—
1311#41—1222no—
1312#41—1222no—
1313#41—4882no—
1314#41—4882no—
1315#41—4882no—
1316#41—2441no—
1317#41—2441no—
1318#41—2441no—
1319C2×Q8—21no—
1320C2×Q8—611no—
1321C2×Q8—611no—
1322C2×Q8—1221no—
1323C2×Q8—1221no—
1324C2×Q8—1221no—
1325C2×Q8—1221no—
1326C2×Q8C23×D6111yescharacteristic
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—21no—
1332C2×D4—611no—
1333C2×D4—611no—
1334C2×D4—611no—
1335C2×D4—611no—
1336C2×D4—1221no—
1337C2×D4—1221no—
1338C2×D4—1221no—
1339C2×D4—1221no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4C23×D6111yescharacteristic
1350C2×D4C23×D6111yescharacteristic
1351C2×D4C23×D6111yescharacteristic
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—611no—
1356C22×C4—611no—
1357C22×C4—611no—
1358C22×C4—611no—
1359C22×C4—1221no—
1360C22×C4—1221no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4—1221no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4—1221no—
1369C22×C4—1221no—
1370C22×C4—1221no—
1371C22×C4—1221no—
1372C22×C4C23×D6111yescharacteristic
1373Q16—1222no—
1374SD16—41no—
1375SD16—41no—
1376SD16—1222no—
1377SD16—2441no—
1378D8—41no—
1379D8—41no—
1380D8—2441no—
1381M16—41no—
1382M16—2441no—
1383C2×C8—41no—
1384C2×C8—611no—
1385C2×C8—611no—
1386C2×C8—611no—
1387C2×C8—611no—
1388C2×C8—2441no—
1389C2×C8—2441no—
1390C2×C8—2441no—
1391C2×C8C23×D6111yescharacteristic
1392C2×C8C23×D6111yescharacteristic
1393C2×C8C23×D6111yescharacteristic
1394C2×C8C23×D6111yescharacteristic
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—611no—
1401C4⋊C4—611no—
1402C4⋊C4—611no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—611no—
1409C4⋊C4—611no—
1410C4⋊C4—611no—
1411C4⋊C4—611no—
1412C4⋊C4—611no—
1413C4⋊C4—611no—
1414C4⋊C4—1221no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4D4×D6111yescharacteristic
1443C4⋊C4D4×D6111yescharacteristic
1444C4⋊C4C23×D6111yescharacteristic
1445C4⋊C4C23×D6111yescharacteristic
1446C4⋊C4C23×D6111yescharacteristic
1447C4⋊C4C23×D6111yescharacteristic
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—611no—
1458C22⋊C4—611no—
1459C22⋊C4—611no—
1460C22⋊C4—611no—
1461C22⋊C4—611no—
1462C22⋊C4—611no—
1463C22⋊C4—611no—
1464C22⋊C4—611no—
1465C22⋊C4—1221no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4D4×D6111yescharacteristic
1485C22⋊C4D4×D6111yescharacteristic
1486C42—21no—
1487C42—611no—
1488C42—611no—
1489C42—611no—
1490C42—611no—
1491C42—1221no—
1492C42—1221no—
1493C42—1221no—
1494C42—1221no—
1495C42—1221no—
1496C42—1221no—
1497C42—1221no—
1498C42—1221no—
1499C42—1221no—
1500C42—1221no—
1501C42—1221no—
1502C42C23×D6111yescharacteristic
1503C42C23×D6111yescharacteristic
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—611no—
1508C23—611no—
1509C23—1221no—
1510C23C2×D4×D6111yescharacteristic
1511Q8—21no—
1512Q8—21no—
1513Q8—81no—
1514Q8—612no—
1515Q8—1221no—
1516Q8—4881no—
1517Q8—4881no—
1518Q8—4881no—
1519Q8—2441no—
1520Q8—2442no—
1521D4—21no—
1522D4—21no—
1523D4—21no—
1524D4—21no—
1525D4—21no—
1526D4—21no—
1527D4—81no—
1528D4—81no—
1529D4—81no—
1530D4—81no—
1531D4—81no—
1532D4—1221no—
1533D4—1221no—
1534D4—4881no—
1535D4—4881no—
1536D4—4881no—
1537D4—4881no—
1538D4—4881no—
1539D4—4881no—
1540D4—4881no—
1541D4—4881no—
1542D4—4881no—
1543D4—2441no—
1544D4—2441no—
1545D4—2441no—
1546D4—2442no—
1547D4—2442no—
1548D4—2442no—
1549D4—2442no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—81no—
1558C2×C4—81no—
1559C2×C4—81no—
1560C2×C4—611no—
1561C2×C4—611no—
1562C2×C4—611no—
1563C2×C4—611no—
1564C2×C4—611no—
1565C2×C4—611no—
1566C2×C4—1221no—
1567C2×C4—1221no—
1568C2×C4—1221no—
1569C2×C4—1221no—
1570C2×C4—1221no—
1571C2×C4—1221no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—4881no—
1578C2×C4—4881no—
1579C2×C4—4881no—
1580C2×C4—4881no—
1581C2×C4—4881no—
1582C2×C4—4881no—
1583C2×C4—4881no—
1584C2×C4—4881no—
1585C2×C4—4881no—
1586C2×C4—2441no—
1587C2×C4—2441no—
1588C2×C4—2442no—
1589C2×C4—2442no—
1590C2×C4—2442no—
1591C2×C4—2442no—
1592C2×C4C2×D4×D6111yescharacteristic
1593C2×C4C2×D4×D6111yescharacteristic
1594C2×C4C2×D4×D6111yescharacteristic
1595C2×C4C2×D4×D6111yescharacteristic
1596C2×C4C2×D4×D6111yescharacteristic
1597C2×C4C24×D6111yescharacteristic
1598C8—21no—
1599C8—21no—
1600C8—21no—
1601C8—21no—
1602C8—1221no—
1603C8—1221no—
1604C8—1221no—
1605C8—1221no—
1606C22—21no—
1607C22—21no—
1608C22—21no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—1221no—
1619C22—1221no—
1620C22—1221no—
1621C22—1221no—
1622C22—1221no—
1623C22—1221no—
1624C22—2441no—
1625C22—2441no—
1626C22—2441no—
1627C22C22×D4×D6111yescharacteristic
1628C4—21no—
1629C4—21no—
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—1221no—
1639C4—1221no—
1640C4—1222no—
1641C4—1221no—
1642C4—1221no—
1643C4—1221no—
1644C4—1221no—
1645C4—2441no—
1646C4—2441no—
1647C4—2441no—
1648C4—2441no—
1649C4—2441no—
1650C4—2441no—
1651C42−1+4×D6111yescharacteristic
1652C4#1684059711yescharacteristic
1653C2—41no—
1654C2—81no—
1655C2—81no—
1656C2—81no—
1657C2—4881no—
1658C2—2441no—
1659C2—2441no—
1660C2#2145949411yescharacteristic
1661C2#2146059111yescharacteristic
1662C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3257C2
socleC22×C61C23×D4
hypercenter#3257D61
hypocenterC61#62162
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3257

Complements

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

NH ≅ G/Ntype
1. #21460470C2semidirect
2. #21459821C2semidirect
3. #21458786C2semidirect
4. #21458761C2semidirect
5. #21458543C2semidirect
6. #21458530C2semidirect
7. #21458361C2semidirect
8. #21458314C2semidirect
9. #21458295C2semidirect
10. #21458254C2semidirect
11. #21458218C2semidirect
12. #21458204C2semidirect
13. #21457951C2semidirect
14. #21457940C2semidirect
15. #21457832C2semidirect
16. #21457820C2semidirect
17. #21457764C2semidirect
18. #21457761C2semidirect
19. #21457235C2semidirect
20. #21457142C2semidirect
21. #21457071C2semidirect
22. #21457066C2semidirect
23. #21457016C2semidirect
24. #21456093C2semidirect
25. #21456075C2semidirect
26. #21455925C2semidirect
27. #21455683C2semidirect
28. #21455665C2semidirect
29. #21455608C2semidirect
30. #21454956C2semidirect
31. C61×#3257C2semidirect
841. #3257D61semidirect
1034. C61#62162semidirect

Maximal subgroups

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

subgroupindex
#214604702
#214598212
#214587862
#214587612
#214585432
#214585302
#214583612
#214583142
#214582952
#214582542
#214582182
#214582042
#214579512
#214579402
#214578322
#214578202
#214577642
#214577612
#214572352
#214571422
#214570712
#214570662
#214570162
#214560932
#214560752
#214559252
#214556832
#214556652
#214556082
#214549562
C61×#32572
#6216261