Finite Group Databasebeta

← #30571177

Subgroups — #30571177

Order 15616.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459676C211yesmaximal, characteristic, complemented
2#559×D61C211yesmaximal, characteristic, complemented
3#21458904C211yesmaximal, characteristic, complemented
4#21458903C211yesmaximal, characteristic, complemented
5#21458902C211yesmaximal, characteristic, complemented
6#21458891C211yesmaximal, characteristic, complemented
7#21458888C211yesmaximal, characteristic, complemented
8#21458883C211yesmaximal, characteristic, complemented
9#21458880C211yesmaximal, characteristic, complemented
10#21458592C211yesmaximal, characteristic, complemented
11#21458589C211yesmaximal, characteristic, complemented
12#21458584C211yesmaximal, characteristic, complemented
13#21458581C211yesmaximal, characteristic, complemented
14#21458576C211yesmaximal, characteristic, complemented
15#21458573C211yesmaximal, characteristic, complemented
16#21458568C211yesmaximal, characteristic, complemented
17#21458565C211yesmaximal, characteristic, complemented
18#21456836C211yesmaximal, characteristic, complemented
19#21456833C211yesmaximal, characteristic, complemented
20#21456820C211yesmaximal, characteristic, complemented
21#21456801C211yesmaximal, characteristic, complemented
22#21456782C211yesmaximal, characteristic, complemented
23#21456779C211yesmaximal, characteristic, complemented
24#21455989C211yesmaximal, characteristic, complemented
25#21455988C211yesmaximal, characteristic, complemented
26#21455916C211yesmaximal, characteristic, complemented
27#21455909C211yesmaximal, characteristic, complemented
28#21455865C211yesmaximal, characteristic, complemented
29#21455864C211yesmaximal, characteristic, complemented
30#21454901C211yesmaximal, characteristic, complemented
31C61×#3403C211yesmaximal, characteristic, complemented
32#16840498C2211yescharacteristic
33#16840498C2211yescharacteristic, complemented
34#16840497C2211yescharacteristic
35#16840497C2211yescharacteristic
36#16840496—21no—
37#16840496—21no—
38#16840495—21no—
39#16840495C2211yescharacteristic
40#16840495C2211yescharacteristic
41#16840494—21no—
42#16840494C2211yescharacteristic
43#16840494C2211yescharacteristic
44#16840491C2211yescharacteristic, complemented
45#16840490C2211yescharacteristic, complemented
46#16840482—21no—
47#16840481—21no—
48#16840481C2211yescharacteristic, complemented
49#16840481C2211yescharacteristic, complemented
50#16840471C2211yescharacteristic, complemented
51#16840471C2211yescharacteristic, complemented
52#16840449—21no—
53#16840449—21no—
54#16840355—21no—
55#16840355—21no—
56#16840332—21no—
57#16840316C2211yescharacteristic
58#16840310C2211yescharacteristic
59#127×D61C2211yescharacteristic
60#16840294C2211yescharacteristic
61#16840294C2211yescharacteristic
62#16840291C2211yescharacteristic
63#16840291C2211yescharacteristic
64#124×D61—21no—
65#124×D61C2211yescharacteristic
66#124×D61C2211yescharacteristic
67#123×D61—21no—
68#123×D61—21no—
69#16840241—21no—
70C4×Q8×D61C2211yescharacteristic
71C4×Q8×D61C2211yescharacteristic
72C4×D4×D61—21no—
73C4×D4×D61C2211yescharacteristic
74C4×D4×D61C2211yescharacteristic
75#16840155C2211yescharacteristic, complemented
76#16840153C2211yescharacteristic, complemented
77#16840152C2211yescharacteristic
78#16840150C2211yescharacteristic
79#16840150C2211yescharacteristic
80#16840149C2211yescharacteristic, complemented
81#16840145C2211yescharacteristic, complemented
82#16840144C2211yescharacteristic, complemented
83#16840143C2211yescharacteristic, complemented
84#16840127C2211yescharacteristic
85#16840126C2211yescharacteristic
86#16840125C2211yescharacteristic
87#16840125C2211yescharacteristic
88#16840123C2211yescharacteristic, complemented
89#16840122C2211yescharacteristic, complemented
90#16840121C2211yescharacteristic, complemented
91#16840120C2211yescharacteristic, complemented
92#16840118C2211yescharacteristic, complemented
93#16840117C2211yescharacteristic, complemented
94#16840116C2211yescharacteristic, complemented
95#16840115C2211yescharacteristic, complemented
96#16840099C2211yescharacteristic
97#16840096C2211yescharacteristic
98#16840079C2211yescharacteristic
99#16840079C2211yescharacteristic
100#16840070C2211yescharacteristic, complemented
101#16840069C2211yescharacteristic, complemented
102#16840068C2211yescharacteristic, complemented
103#16840067C2211yescharacteristic, complemented
104#16840065C2211yescharacteristic, complemented
105#16840064C2211yescharacteristic, complemented
106#16840063C2211yescharacteristic, complemented
107#16840062C2211yescharacteristic, complemented
108#16840053C2211yescharacteristic, complemented
109#16840052C2211yescharacteristic, complemented
110#16840041C2211yescharacteristic, complemented
111#16840040C2211yescharacteristic, complemented
112#16839986C2211yescharacteristic, complemented
113#16839985C2211yescharacteristic, complemented
114#16839985C2211yescharacteristic, complemented
115#16839984C2211yescharacteristic, complemented
116#16839983C2211yescharacteristic, complemented
117#16839982C2211yescharacteristic, complemented
118#16839982C2211yescharacteristic, complemented
119#16839981C2211yescharacteristic, complemented
120#16839981C2211yescharacteristic, complemented
121#16839981C2211yescharacteristic, complemented
122#16839979C2211yescharacteristic, complemented
123#16839979C2211yescharacteristic, complemented
124#16839979C2211yescharacteristic, complemented
125#16839977C2211yescharacteristic, complemented
126#16839976C2211yescharacteristic, complemented
127#16839975C2211yescharacteristic, complemented
128#16839975C2211yescharacteristic, complemented
129#16839975C2211yescharacteristic, complemented
130#16839975C2211yescharacteristic, complemented
131#16839974C2211yescharacteristic, complemented
132#16839966C2211yescharacteristic, complemented
133#16839965C2211yescharacteristic, complemented
134#16839963C2211yescharacteristic
135#16839960C2211yescharacteristic
136#16839960C2211yescharacteristic
137#16839959C2211yescharacteristic
138#16839957C2211yescharacteristic
139#16839955C2211yescharacteristic
140#16839955C2211yescharacteristic
141#16839954C2211yescharacteristic, complemented
142#16839919C2211yescharacteristic
143#16839916C2211yescharacteristic
144#16839914C2211yescharacteristic
145#16839914C2211yescharacteristic
146#16839911C2211yescharacteristic
147#16839911C2211yescharacteristic
148#16839899C2211yescharacteristic
149#16839899C2211yescharacteristic
150#16839894C2211yescharacteristic
151#16839894C2211yescharacteristic
152#16839894C2211yescharacteristic
153#16839894C2211yescharacteristic
154#16839893C2211yescharacteristic, complemented
155#16839892C2211yescharacteristic, complemented
156#16839891C2211yescharacteristic, complemented
157#16839891C2211yescharacteristic, complemented
158#16839890C2211yescharacteristic, complemented
159#16839890C2211yescharacteristic, complemented
160#16839889C2211yescharacteristic, complemented
161#16839874C2211yescharacteristic, complemented
162#16839874C2211yescharacteristic, complemented
163#16839871C2211yescharacteristic, complemented
164#16839871C2211yescharacteristic, complemented
165#16839870C2211yescharacteristic, complemented
166#16839869C2211yescharacteristic, complemented
167#16839867C2211yescharacteristic, complemented
168#16839866C2211yescharacteristic, complemented
169#16839864C2211yescharacteristic, complemented
170#16839863C2211yescharacteristic, complemented
171#16839862C2211yescharacteristic, complemented
172#16839862C2211yescharacteristic, complemented
173#16839860C2211yescharacteristic, complemented
174#16839859C2211yescharacteristic, complemented
175C4×#11758190C2211yescharacteristic, complemented
176SD16×Dic61C2211yescharacteristic, complemented
177C4×#11758200C2211yescharacteristic, complemented
178#16839847C2211yescharacteristic, complemented
179D8×Dic61C2211yescharacteristic, complemented
180C4×#11758199C2211yescharacteristic, complemented
181#16839842C2211yescharacteristic, complemented
182#16839818C2211yescharacteristic
183#16839818C2211yescharacteristic
184#16839817C2211yescharacteristic
185#16839817C2211yescharacteristic
186#16839814C2211yescharacteristic
187#16839813C2211yescharacteristic
188C61×#559C2211yescharacteristic
189C61×#559C2211yescharacteristic, complemented
190C61×#496C2211yescharacteristic
191C61×#496C2211yescharacteristic, complemented
192C61×#495C2211yescharacteristic, complemented
193C61×#464C2211yescharacteristic, complemented
194C61×#464C2211yescharacteristic, complemented
195C61×#463C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic, complemented
197C61×#459C2211yescharacteristic
198C61×#459C2211yescharacteristic, complemented
199C61×#446C2211yescharacteristic, complemented
200C61×#440C2211yescharacteristic, complemented
201C61×#440C2211yescharacteristic, complemented
202C4×D8×C61C2211yescharacteristic, complemented
203C2×#11758224—21no—
204C2×Q8×D61D411yescharacteristic
205C2×Q8×D61C2311yescharacteristic
206C2×D4×D61—21no—
207C2×D4×D61—21no—
208C2×D4×D61C2311yescharacteristic
209C2×D4×D61C2311yescharacteristic
210C22×C4×D61—21no—
211C22×C4×D61—21no—
212C2×Dic244C2311yescharacteristic
213C2×#11758202C2311yescharacteristic
214C2×#11758202C2311yescharacteristic
215C2×#11758190C2311yescharacteristic
216C2×#11758190C2311yescharacteristic
217C2×#11758200C2311yescharacteristic
218C2×#11758200C2311yescharacteristic
219C2×#11758200C2311yescharacteristic
220C2×#11758200C2311yescharacteristic
221C2×#11758201C2311yescharacteristic
222C2×#11758201C2311yescharacteristic
223C2×#11758199C2311yescharacteristic
224C2×#11758199C2311yescharacteristic
225C2×#11758199C2311yescharacteristic
226C2×#11758199C2311yescharacteristic
227#14519777—21no—
228#14519777C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519775—21no—
231#14519775C2311yescharacteristic
232#14519774C2311yescharacteristic
233#14519773—21no—
234#14519773—21no—
235#14519773C2311yescharacteristic
236#14519773C2311yescharacteristic
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519770—21no—
242#14519770—21no—
243#14519770—21no—
244#14519770—21no—
245#14519769C2311yescharacteristic
246#14519769C2311yescharacteristic
247#14519768—21no—
248#14519768—21no—
249#14519768C2311yescharacteristic
250#14519768C2311yescharacteristic
251#14519767—21no—
252#14519767—21no—
253#14519767—21no—
254#14519766—21no—
255#14519766C2311yescharacteristic
256#14519766C2311yescharacteristic
257#14519765—21no—
258#14519765C2311yescharacteristic
259#14519765C2311yescharacteristic
260#14519764—21no—
261#14519764—21no—
262#14519764—21no—
263#14519764C2311yescharacteristic
264#14519764C2311yescharacteristic
265#14519764C2311yescharacteristic
266#14519764C2311yescharacteristic
267#14519763—21no—
268#14519763—21no—
269#14519763—21no—
270#14519763—21no—
271#14519763—21no—
272#14519763—21no—
273#14519763—21no—
274#14519763—21no—
275#14519762—21no—
276#14519762—21no—
277#14519762—21no—
278#14519762—21no—
279#14519761—21no—
280#14519761—21no—
281#14519760—21no—
282#14519760—21no—
283#14519759—21no—
284#14519759—21no—
285#14519759—21no—
286#14519759—21no—
287#14519759—21no—
288#14519759—21no—
289#14519759—21no—
290#14519759—21no—
291#14519758—21no—
292#14519758—21no—
293#14519758—21no—
294#14519758—21no—
295#14519757C2311yescharacteristic
296#14519756—21no—
297#14519756—21no—
298#14519755—21no—
299#14519754—21no—
300#14519754—21no—
301#14519754—21no—
302#14519754—21no—
303#14519754—21no—
304#14519754—21no—
305#14519753C2311yescharacteristic
306#14519748—21no—
307#14519748C2311yescharacteristic
308#14519748C2311yescharacteristic
309Q8×Dic61D411yescharacteristic
310Q8×Dic61C2311yescharacteristic
311Q8×Dic61C2311yescharacteristic
312Q8×Dic61C2311yescharacteristic
313C4×Dic122—21no—
314C4×Dic122—21no—
315C4×Dic122—21no—
316C4×Dic122C2311yescharacteristic
317C4×Dic122C2311yescharacteristic
318C4×Dic122C2311yescharacteristic
319C4×Dic122C2311yescharacteristic
320C4×Dic122C2311yescharacteristic
321C4×Dic122C2311yescharacteristic
322C4×Dic122C2311yescharacteristic
323#14519742—21no—
324#14519742—21no—
325#14519742D411yescharacteristic
326#14519742D411yescharacteristic
327#14519742D411yescharacteristic
328#14519742C2311yescharacteristic
329C4×D244—21no—
330C4×D244C2311yescharacteristic
331C4×D244C2311yescharacteristic
332D4×Dic61—21no—
333D4×Dic61—21no—
334D4×Dic61—21no—
335D4×Dic61C2311yescharacteristic
336D4×Dic61C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340D4×Dic61C2311yescharacteristic
341#14519739—21no—
342#14519739C2311yescharacteristic
343#14519739C2311yescharacteristic
344C4×C22⋊D61—21no—
345C4×C22⋊D61—21no—
346C4×C22⋊D61—21no—
347C4×C22⋊D61—21no—
348C4×C22⋊D61—21no—
349C4×C22⋊D61—21no—
350#14519737—21no—
351#14519737—21no—
352#14519737—21no—
353#14519737—21no—
354#14519737—21no—
355#14519737—21no—
356#14519736—21no—
357#14519736—21no—
358#14519734—21no—
359#14519733—21no—
360#14519733—21no—
361#14519733—21no—
362#14519733—21no—
363C2×#11758196—21no—
364C2×#11758196—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61D411yescharacteristic
367C4⋊C4×D61D411yescharacteristic
368C4⋊C4×D61D411yescharacteristic
369C4⋊C4×D61C2311yescharacteristic
370C22⋊C4×D61—21no—
371C22⋊C4×D61—21no—
372C22⋊C4×D61—21no—
373C22⋊C4×D61—21no—
374C22⋊C4×D61—21no—
375C22⋊C4×D61—21no—
376C42×D61—21no—
377C42×D61C2311yescharacteristic
378C42×D61C2311yescharacteristic
379C42×D61C2311yescharacteristic
380#14519711C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387C4⋊#92418C2311yescharacteristic
388C4⋊#92418C2311yescharacteristic
389C4⋊#92418C2311yescharacteristic
390#14519706C2311yescharacteristic
391#14519706C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519702C2311yescharacteristic
397#14519702C2311yescharacteristic
398#14519702C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519701C2311yescharacteristic
401#14519701C2311yescharacteristic
402#14519701C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519700C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519699C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519698C2311yescharacteristic
413#14519698C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519689C2311yescharacteristic
423#14519689C2311yescharacteristic
424#14519689C2311yescharacteristic
425#14519689C2311yescharacteristic
426#14519688C2311yescharacteristic
427#14519688C2311yescharacteristic
428#14519687C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432C4×#92418C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×Q16×C61C2311yescharacteristic
436C2×SD16×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C2×SD16×C61C2311yescharacteristic
440C2×D8×C61C2311yescharacteristic
441C2×D8×C61C2311yescharacteristic
442C2×D8×C61C2311yescharacteristic
443C2×D8×C61C2311yescharacteristic
444#127×C61C2311yescharacteristic
445#127×C61C2311yescharacteristic
446#124×C61—21no—
447#124×C61—21no—
448#124×C61C2311yescharacteristic
449#124×C61C2311yescharacteristic
450#124×C61C2311yescharacteristic
451#124×C61C2311yescharacteristic
452#123×C61—21no—
453#123×C61—21no—
454#123×C61—21no—
455#123×C61—21no—
456C4×Q8×C61C2311yescharacteristic
457C4×Q8×C61C2311yescharacteristic
458C4×Q8×C61C2311yescharacteristic
459C4×D4×C61—21no—
460C4×D4×C61—21no—
461C4×D4×C61C2311yescharacteristic
462C4×D4×C61C2311yescharacteristic
463C4×D4×C61C2311yescharacteristic
464C4×D4×C61C2311yescharacteristic
465#107×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C23×D61—21no—
479C23×D61—21no—
480C2×Q8×C61C2×D411yescharacteristic
481C2×Q8×C61C2411yescharacteristic
482C2×Q8×C61C2411yescharacteristic
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61C2411yescharacteristic
488C2×D4×C61C2411yescharacteristic
489C2×D4×C61C2411yescharacteristic
490C2×D4×C61C2411yescharacteristic
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C22×C4×C61—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—
503C22×Dic61—21no—
504C22×Dic61—21no—
505C22×Dic61—21no—
506C22×Dic61—21no—
507C22×Dic61—21no—
508C22×Dic61—21no—
509Q8×D61—41no—
510Q8×D61—41no—
511Q8×D61—42no—
512#11758224—44no—
513D4×D61—41no—
514D4×D61—41no—
515D4×D61—41no—
516D4×D61—41no—
517D4×D61—44no—
518D4×D61—82no—
519C2×D244—21no—
520C2×D244—21no—
521C2×D244C2411yescharacteristic
522C2×D244C2411yescharacteristic
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—82no—
530C2×C4×D61—82no—
531C2×C4×D61C2×D411yescharacteristic
532C2×C4×D61C2×D411yescharacteristic
533C2×C4×D61C2×D411yescharacteristic
534C2×C4×D61C2×D411yescharacteristic
535C2×C4×D61C2×D411yescharacteristic
536C2×C4×D61C2×D411yescharacteristic
537C2×C4×D61C2411yescharacteristic
538C2×Dic122—21no—
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122C2×D411yescharacteristic
542C2×Dic122C2×D411yescharacteristic
543C2×Dic122C2×D411yescharacteristic
544C2×Dic122C2411yescharacteristic
545C2×Dic122C2411yescharacteristic
546Q16×C61—41no—
547SD16×C61—41no—
548SD16×C61—41no—
549SD16×C61—41no—
550SD16×C61—41no—
551D8×C61—41no—
552D8×C61—41no—
553D8×C61—41no—
554D8×C61—41no—
555C2×C8×C61C2411yescharacteristic
556C2×C8×C61C2411yescharacteristic
557C2×C8×C61C2411yescharacteristic
558C2×C8×C61C2411yescharacteristic
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61C2×D411yescharacteristic
562C4⋊C4×C61C2×D411yescharacteristic
563C4⋊C4×C61C2×D411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C42×C61—21no—
579C42×C61—21no—
580C42×C61C2411yescharacteristic
581C42×C61C2411yescharacteristic
582C42×C61C2411yescharacteristic
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594C22⋊Dic61—21no—
595C22⋊Dic61—21no—
596C22⋊Dic61—21no—
597C22⋊Dic61—21no—
598C22⋊Dic61—21no—
599#11758202—41no—
600#11758202—41no—
601#11758201—41no—
602#11758201—41no—
603#11758200—41no—
604#11758200—41no—
605#11758200—41no—
606#11758200—41no—
607#11758199—41no—
608#11758199—41no—
609#11758199—41no—
610#11758199—41no—
611#11758198—21no—
612#11758198—21no—
613#11758198—21no—
614#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
620#11758198—21no—
621#11758198—21no—
622#11758198—21no—
623#11758198—21no—
624#11758198—21no—
625C4⋊Dic61—21no—
626C4⋊Dic61—21no—
627C4⋊Dic61—21no—
628C4⋊Dic61—21no—
629C4⋊Dic61—21no—
630C4⋊Dic61—21no—
631C4⋊Dic61—21no—
632C4⋊Dic61C2×D411yescharacteristic
633C4⋊Dic61C2×D411yescharacteristic
634C4⋊Dic61C2×D411yescharacteristic
635C4⋊Dic61C2411yescharacteristic
636C4⋊Dic61C2411yescharacteristic
637C4⋊Dic61C2411yescharacteristic
638C4⋊Dic61C2411yescharacteristic
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652#11758196—21no—
653#11758196—21no—
654#11758196—21no—
655#11758196C2×D411yescharacteristic
656#11758196C2×D411yescharacteristic
657#11758196C2×D411yescharacteristic
658#11758196C2×D411yescharacteristic
659#11758196C2×D411yescharacteristic
660#11758196C2×D411yescharacteristic
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61—21no—
664C4×Dic61—21no—
665C4×Dic61—21no—
666C4×Dic61—21no—
667C4×Dic61—21no—
668C4×Dic61—21no—
669C4×Dic61C2×D411yescharacteristic
670C4×Dic61C2×D411yescharacteristic
671C4×Dic61C2×D411yescharacteristic
672C4×Dic61C2×D411yescharacteristic
673C4×Dic61C2×D411yescharacteristic
674C4×Dic61C2×D411yescharacteristic
675C4×Dic61C2411yescharacteristic
676C4×Dic61C2411yescharacteristic
677C4×Dic61C2411yescharacteristic
678C2×#92418C2411yescharacteristic
679C2×#92418C2411yescharacteristic
680C2×#92418C2411yescharacteristic
681C2×#92418C2411yescharacteristic
682Dic244—41no—
683#11758190—41no—
684#11758190—41no—
685C23×C61—21no—
686C23×C61—21no—
687C23×C61—21no—
688C23×C61—21no—
689C22×D61—21no—
690C22×D61—21no—
691C22×D61—42no—
692C22×D61—42no—
693C22×D61—42no—
694C22×D61—42no—
695C22×D61—42no—
696C22×D61—42no—
697C22×D61C22×D411yescharacteristic
698Q8×C61—21no—
699Q8×C61—21no—
700Q8×C61—21no—
701Q8×C61—21no—
702Q8×C61—41no—
703D4×C61—21no—
704D4×C61—21no—
705D4×C61—21no—
706D4×C61—21no—
707D4×C61—21no—
708D4×C61—21no—
709D4×C61—21no—
710D4×C61—21no—
711D4×C61—42no—
712D4×C61—42no—
713D4×C61—81no—
714D4×C61—81no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—81no—
720C2×C4×C61—81no—
721C2×C4×C61—81no—
722C2×C4×C61—81no—
723C2×C4×C61C22×D411yescharacteristic
724C2×C4×C61C22×D411yescharacteristic
725C2×C4×C61C22×D411yescharacteristic
726C2×C4×C61C22×D411yescharacteristic
727C2×C4×C61C22×D411yescharacteristic
728C2×C4×C61C22×D411yescharacteristic
729C2×C4×C61C2511yescharacteristic
730C22⋊D61—42no—
731C22⋊D61—42no—
732C22⋊D61—42no—
733C22⋊D61—42no—
734C22⋊D61—42no—
735C22⋊D61—42no—
736C22⋊D61—81no—
737C22⋊D61—81no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—21no—
744C2×Dic61—42no—
745C2×Dic61—42no—
746C2×Dic61—81no—
747C2×Dic61—81no—
748C2×Dic61—81no—
749C2×Dic61—81no—
750C2×Dic61C22×D411yescharacteristic
751C2×Dic61C22×D411yescharacteristic
752C2×Dic61C22×D411yescharacteristic
753C2×Dic61C22×D411yescharacteristic
754C2×Dic61C22×D411yescharacteristic
755C2×Dic61C22×D411yescharacteristic
756C2×Dic61C22×D411yescharacteristic
757D244—21no—
758D244—21no—
759D244—21no—
760D244—21no—
761D244—42no—
762D244—81no—
763C4×D61—22no—
764C4×D61—22no—
765C4×D61—22no—
766C4×D61—21no—
767C4×D61—21no—
768C4×D61—41no—
769C4×D61—41no—
770C4×D61—41no—
771C4×D61—42no—
772C4×D61—42no—
773C4×D61—81no—
774C4×D61—81no—
775C4×D61—81no—
776C4×D61—81no—
777Dic122—21no—
778Dic122—21no—
779Dic122—21no—
780Dic122—21no—
781Dic122—41no—
782Dic122—41no—
783Dic122—41no—
784Dic122—42no—
785Dic122—42no—
786Dic122—81no—
787C8×C61—21no—
788C8×C61—21no—
789C8×C61—21no—
790C8×C61—21no—
791#92418—21no—
792#92418—21no—
793#92418—21no—
794#92418—21no—
795#61895—611nomaximal, Sylow
796C22×C61—41no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61C23×D411yescharacteristic
809C2×D61—21no—
810C2×D61—21no—
811C2×D61—41no—
812C2×D61—41no—
813C2×D61—41no—
814C2×D61—41no—
815C2×D61—41no—
816C2×D61—41no—
817C2×D61—84no—
818C2×D61—84no—
819C2×D61#57512yes—
820C4×C61—21no—
821C4×C61—21no—
822C4×C61—21no—
823C4×C61—21no—
824C4×C61—21no—
825C4×C61—21no—
826C4×C61—41no—
827C4×C61—41no—
828C4×C61—41no—
829C4×C61—41no—
830C4×C61#58511yescharacteristic
831C4×C61#58511yescharacteristic
832Dic61—21no—
833Dic61—21no—
834Dic61—21no—
835Dic61—21no—
836Dic61—21no—
837Dic61—21no—
838Dic61—21no—
839Dic61—41no—
840Dic61—41no—
841Dic61—41no—
842Dic61—41no—
843Dic61—41no—
844Dic61—41no—
845#3507—611no—
846C2×#559—611no—
847#3403—611no—
848#3403—611no—
849#3403—611no—
850#3403D6111yescharacteristic, complemented
851#3401—611no—
852#3401—611no—
853#3401—611no—
854#3401—611no—
855#3371—611no—
856#3371—611no—
857#3371—611no—
858#3371—611no—
859#3370—611no—
860#3370—611no—
861#3370—611no—
862#3370—611no—
863#3217—611no—
864#3217—611no—
865#3215—611no—
866#3213—611no—
867#3211—611no—
868#3211—611no—
869#3117—611no—
870#3117—611no—
871#3110—611no—
872#3109—611no—
873#3105—611no—
874#3105—611no—
875#2983—611no—
876C2×C61—81no—
877C2×C61—81no—
878C2×C61—81no—
879C2×C61—81no—
880C2×C61#348711yescharacteristic
881C2×C61C2×#57511yescharacteristic
882C2×C61#358511yescharacteristic
883D61—22no—
884D61—81no—
885D61—81no—
886#559—611no—
887#559—611no—
888#559—611no—
889#559—611no—
890#559—611no—
891#559—611no—
892#559—611no—
893#559—611no—
894#559—1221no—
895#559—1221no—
896#559—1221no—
897#559—1221no—
898#559C2×D6111yescharacteristic
899#559C2×D6111yescharacteristic, complemented
900#557—611no—
901#557—611no—
902#556—611no—
903#556—611no—
904#556—1221no—
905#556—1221no—
906#554—611no—
907#554—611no—
908#552—1221no—
909#552—1221no—
910#539—1221no—
911#539—1221no—
912#536—1221no—
913#533—611no—
914#532—611no—
915C2×#127—611no—
916#529—611no—
917#529—611no—
918#529—611no—
919#529—611no—
920C2×#124—611no—
921C2×#124—611no—
922C2×#124—1221no—
923C2×#123—1221no—
924C2×#123—1221no—
925#520—1221no—
926C2×C4×Q8—611no—
927C2×C4×Q8—611no—
928C2×C4×D4—611no—
929C2×C4×D4—611no—
930C2×C4×D4—1221no—
931#497—611no—
932#497—611no—
933#496—611no—
934#496—611no—
935#496—611no—
936#496—611no—
937#496C2×D6111yescharacteristic
938#496C2×D6111yescharacteristic, complemented
939#495—611no—
940#495—611no—
941#495—611no—
942#495C2×D6111yescharacteristic, complemented
943#490—611no—
944#490—611no—
945#490—611no—
946#490—611no—
947#489—611no—
948#489—611no—
949#489—611no—
950#489—611no—
951#488—611no—
952#488—611no—
953#488—611no—
954#488—611no—
955#484—611no—
956#484—611no—
957#481—611no—
958#481—611no—
959#479—611no—
960#479—611no—
961#479—611no—
962#479—611no—
963#478—611no—
964#478—611no—
965#478—611no—
966#478—611no—
967#476—611no—
968#476—611no—
969#474—611no—
970#474—611no—
971#464—611no—
972#464—611no—
973#464—611no—
974#464—611no—
975#464—611no—
976#464—611no—
977#464—611no—
978#464—611no—
979#464—611no—
980#464—611no—
981#464C2×D6111yescharacteristic, complemented
982#464C2×D6111yescharacteristic, complemented
983#463—611no—
984#463—611no—
985#463—611no—
986#463—611no—
987#463—611no—
988#463—611no—
989#463—611no—
990#463—611no—
991#463—611no—
992#463—611no—
993#463C2×D6111yescharacteristic, complemented
994#463C2×D6111yescharacteristic, complemented
995#461—611no—
996#461—611no—
997#460—611no—
998#460—611no—
999#460—611no—
1000#460—611no—
1001#459—611no—
1002#459—611no—
1003#459—611no—
1004#459—611no—
1005#459C2×D6111yescharacteristic
1006#459C2×D6111yescharacteristic, complemented
1007#451—611no—
1008#451—611no—
1009#450—611no—
1010#450—611no—
1011#450—611no—
1012#450—611no—
1013#448—611no—
1014#448—611no—
1015#447—611no—
1016#447—611no—
1017#447—611no—
1018#447—611no—
1019#446—611no—
1020#446—611no—
1021#446—611no—
1022#446—611no—
1023#446—611no—
1024#446—611no—
1025#446—611no—
1026#446C2×D6111yescharacteristic, complemented
1027#442—611no—
1028#442—611no—
1029#442—611no—
1030#442—611no—
1031#441—611no—
1032#441—611no—
1033#441—611no—
1034#441—611no—
1035#440—611no—
1036#440—611no—
1037#440—611no—
1038#440—611no—
1039#440—611no—
1040#440—611no—
1041#440C2×D6111yescharacteristic, complemented
1042#440C2×D6111yescharacteristic, complemented
1043C4×SD16—611no—
1044C4×SD16—611no—
1045C4×SD16—611no—
1046C4×SD16—611no—
1047C4×D8—611no—
1048C4×D8—611no—
1049C4×D8—611no—
1050C4×D8C2×D6111yescharacteristic, complemented
1051#432—611no—
1052#432—611no—
1053#432—611no—
1054#432—611no—
1055#431—611no—
1056#431—611no—
1057C61#6189511yescharacteristic, complemented, Sylow
1058C2×#41—1221no—
1059C22×Q8—611no—
1060C22×Q8—611no—
1061C22×D4—611no—
1062C22×D4—611no—
1063C22×D4—1221no—
1064C22×D4—1221no—
1065C23×C4—1221no—
1066C23×C4—1221no—
1067C2×Q16—611no—
1068C2×Q16—611no—
1069C2×Q16—611no—
1070C2×Q16C22×D6111yescharacteristic
1071C2×SD16—611no—
1072C2×SD16—611no—
1073C2×SD16—611no—
1074C2×SD16—611no—
1075C2×SD16—611no—
1076C2×SD16—611no—
1077C2×SD16—611no—
1078C2×SD16—611no—
1079C2×SD16C22×D6111yescharacteristic
1080C2×SD16C22×D6111yescharacteristic
1081C2×SD16C22×D6111yescharacteristic
1082C2×SD16C22×D6111yescharacteristic
1083C2×D8—611no—
1084C2×D8—611no—
1085C2×D8—611no—
1086C2×D8—611no—
1087C2×D8C22×D6111yescharacteristic
1088C2×D8C22×D6111yescharacteristic
1089C2×D8C22×D6111yescharacteristic
1090C2×D8C22×D6111yescharacteristic
1091C4⋊Q8—611no—
1092C4⋊Q8—611no—
1093C4⋊Q8—611no—
1094C4⋊Q8—1221no—
1095C4⋊Q8—1221no—
1096#127—611no—
1097#127—611no—
1098#127—611no—
1099#127—1221no—
1100#127—1221no—
1101#127C22×D6111yescharacteristic
1102#127C22×D6111yescharacteristic
1103#126—1221no—
1104#126—1221no—
1105#126—1221no—
1106#126—1221no—
1107#126—1221no—
1108#126—1221no—
1109#126—1221no—
1110#126—1221no—
1111#125—611no—
1112#125—611no—
1113#125—611no—
1114#125—611no—
1115#125—1221no—
1116#125—1221no—
1117#125—1221no—
1118#125—1221no—
1119#125—1221no—
1120#124—21no—
1121#124—21no—
1122#124—611no—
1123#124—611no—
1124#124—611no—
1125#124—611no—
1126#124—611no—
1127#124—611no—
1128#124—611no—
1129#124—611no—
1130#124—1221no—
1131#124—1221no—
1132#124—1221no—
1133#124—1221no—
1134#124—1221no—
1135#124—1221no—
1136#124—1221no—
1137#124—1221no—
1138#124—1221no—
1139#124—1221no—
1140#124—1221no—
1141#124—1221no—
1142#124—1221no—
1143#124C22×D6111yescharacteristic
1144#124C22×D6111yescharacteristic
1145#124C22×D6111yescharacteristic
1146#124C22×D6111yescharacteristic
1147#123—21no—
1148#123—21no—
1149#123—21no—
1150#123—21no—
1151#123—1221no—
1152#123—1221no—
1153#123—1221no—
1154#123—1221no—
1155#123—1221no—
1156#123—1221no—
1157#123—1221no—
1158#123—1221no—
1159#123—1221no—
1160#123—1221no—
1161#123—1221no—
1162#123—1221no—
1163#123—1221no—
1164#123—1221no—
1165#123—1221no—
1166#123—1221no—
1167#123—1221no—
1168#123—1221no—
1169#123—1221no—
1170#123—1221no—
1171C22⋊Q8—611no—
1172C22⋊Q8—611no—
1173C22⋊Q8—1221no—
1174C22⋊Q8—1221no—
1175C22⋊Q8—1221no—
1176C22⋊Q8—1221no—
1177C22⋊Q8—1221no—
1178C22⋊Q8—1221no—
1179C22⋊Q8—1221no—
1180C22⋊Q8—1221no—
1181C22⋊Q8—1221no—
1182#121—611no—
1183#121—611no—
1184#121—1221no—
1185C4×Q8—611no—
1186C4×Q8—611no—
1187C4×Q8—611no—
1188C4×Q8—611no—
1189C4×Q8—611no—
1190C4×Q8—611no—
1191C4×Q8—611no—
1192C4×Q8—611no—
1193C4×Q8—611no—
1194C4×Q8—611no—
1195C4×Q8—611no—
1196C4×Q8—611no—
1197C4×Q8—611no—
1198C4×Q8—611no—
1199C4×Q8—611no—
1200C4×Q8—1221no—
1201C4×Q8—1221no—
1202C4×Q8—1221no—
1203C4×Q8—1221no—
1204C4×Q8—1221no—
1205C4×Q8C22×D6111yescharacteristic
1206C4×Q8C22×D6111yescharacteristic
1207C4×Q8C22×D6111yescharacteristic
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—611no—
1211C4×D4—611no—
1212C4×D4—611no—
1213C4×D4—611no—
1214C4×D4—611no—
1215C4×D4—611no—
1216C4×D4—611no—
1217C4×D4—611no—
1218C4×D4—611no—
1219C4×D4—611no—
1220C4×D4—1221no—
1221C4×D4—1221no—
1222C4×D4—1221no—
1223C4×D4—1221no—
1224C4×D4—1221no—
1225C4×D4—1221no—
1226C4×D4—1221no—
1227C4×D4—1221no—
1228C4×D4—1221no—
1229C4×D4—1221no—
1230C4×D4—1221no—
1231C4×D4—1221no—
1232C4×D4—1221no—
1233C4×D4—1221no—
1234C4×D4—1221no—
1235C4×D4—1221no—
1236C4×D4—1221no—
1237C4×D4C22×D6111yescharacteristic
1238C4×D4C22×D6111yescharacteristic
1239C4×D4C22×D6111yescharacteristic
1240C4×D4C22×D6111yescharacteristic
1241#117—1221no—
1242#117—1221no—
1243#117—1221no—
1244#117—1221no—
1245#117—1221no—
1246#117—1221no—
1247#117—1221no—
1248C2×C4⋊C4—611no—
1249C2×C4⋊C4—611no—
1250C2×C4⋊C4—611no—
1251C2×C4⋊C4—611no—
1252C2×C4⋊C4—1221no—
1253C2×C4⋊C4—1221no—
1254C2×C4⋊C4—1221no—
1255C2×C22⋊C4—1221no—
1256C2×C22⋊C4—1221no—
1257C2×C22⋊C4—1221no—
1258C2×C22⋊C4—1221no—
1259C2×C22⋊C4—1221no—
1260C2×C22⋊C4—1221no—
1261C2×C42—611no—
1262C2×C42—611no—
1263C2×C42—611no—
1264C2×C42—1221no—
1265#107—611no—
1266#107—611no—
1267#107—611no—
1268#107C22×D6111yescharacteristic
1269#106—611no—
1270#106—611no—
1271#106—611no—
1272#106—611no—
1273C4⋊C8—611no—
1274C4⋊C8—611no—
1275C4⋊C8—611no—
1276C4⋊C8—611no—
1277C4⋊C8—611no—
1278C4⋊C8—611no—
1279C4⋊C8—611no—
1280C4⋊C8—611no—
1281C4⋊C8—611no—
1282C4⋊C8C22×D6111yescharacteristic
1283C4⋊C8C22×D6111yescharacteristic
1284C4⋊C8C22×D6111yescharacteristic
1285#103—611no—
1286#103—611no—
1287#103—611no—
1288#103—611no—
1289#103—611no—
1290#103—611no—
1291#103—611no—
1292#103—611no—
1293#103—611no—
1294#103—611no—
1295#103C22×D6111yescharacteristic
1296#103C22×D6111yescharacteristic
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102—611no—
1304#102—611no—
1305#102—611no—
1306#102—611no—
1307#102—611no—
1308#102—611no—
1309#102—611no—
1310#102—611no—
1311#102—611no—
1312#102—611no—
1313#102C22×D6111yescharacteristic
1314#102C22×D6111yescharacteristic
1315#102C22×D6111yescharacteristic
1316#102C22×D6111yescharacteristic
1317C22⋊C8—611no—
1318C22⋊C8—611no—
1319C22⋊C8—611no—
1320C22⋊C8—611no—
1321#97—611no—
1322#97—611no—
1323#97—611no—
1324#97—611no—
1325#97—611no—
1326#97—611no—
1327#97C22×D6111yescharacteristic
1328#97C22×D6111yescharacteristic
1329C4×C8—611no—
1330C4×C8—611no—
1331C4×C8—611no—
1332C4×C8C22×D6111yescharacteristic
1333C24—1221no—
1334C24—1221no—
1335#41—2444no—
1336C2×Q8—611no—
1337C2×Q8—611no—
1338C2×Q8—611no—
1339C2×Q8—611no—
1340C2×Q8—611no—
1341C2×Q8—1221no—
1342C2×Q8—1221no—
1343C2×Q8—1221no—
1344C2×Q8—2442no—
1345C2×Q8—2441no—
1346C2×Q8—2441no—
1347C2×Q8D4×D6111yescharacteristic
1348C2×Q8C23×D6111yescharacteristic
1349C2×Q8C23×D6111yescharacteristic
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—611no—
1355C2×D4—611no—
1356C2×D4—1221no—
1357C2×D4—1221no—
1358C2×D4—1221no—
1359C2×D4—1221no—
1360C2×D4—1221no—
1361C2×D4—1221no—
1362C2×D4—1221no—
1363C2×D4—1221no—
1364C2×D4—1221no—
1365C2×D4—1221no—
1366C2×D4—4882no—
1367C2×D4—2441no—
1368C2×D4—2441no—
1369C2×D4—2441no—
1370C2×D4—2441no—
1371C2×D4—2444no—
1372C2×D4C23×D6111yescharacteristic
1373C2×D4C23×D6111yescharacteristic
1374C2×D4C23×D6111yescharacteristic
1375C2×D4C23×D6111yescharacteristic
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—611no—
1381C22×C4—611no—
1382C22×C4—611no—
1383C22×C4—611no—
1384C22×C4—611no—
1385C22×C4—611no—
1386C22×C4—611no—
1387C22×C4—1221no—
1388C22×C4—1221no—
1389C22×C4—1221no—
1390C22×C4—1221no—
1391C22×C4—1221no—
1392C22×C4—1221no—
1393C22×C4—1221no—
1394C22×C4—1221no—
1395C22×C4—1221no—
1396C22×C4—1221no—
1397C22×C4—1221no—
1398C22×C4—1221no—
1399C22×C4—4882no—
1400C22×C4—4882no—
1401Q16—41no—
1402Q16—2441no—
1403Q16—2441no—
1404Q16—2441no—
1405SD16—41no—
1406SD16—41no—
1407SD16—41no—
1408SD16—41no—
1409SD16—2441no—
1410SD16—2441no—
1411SD16—2441no—
1412SD16—2441no—
1413SD16—2441no—
1414SD16—2441no—
1415SD16—2441no—
1416SD16—2441no—
1417D8—41no—
1418D8—41no—
1419D8—41no—
1420D8—41no—
1421D8—2441no—
1422D8—2441no—
1423D8—2441no—
1424D8—2441no—
1425C2×C8—611no—
1426C2×C8—611no—
1427C2×C8—611no—
1428C2×C8—611no—
1429C2×C8C23×D6111yescharacteristic
1430C2×C8C23×D6111yescharacteristic
1431C2×C8C23×D6111yescharacteristic
1432C2×C8C23×D6111yescharacteristic
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—611no—
1436C4⋊C4—611no—
1437C4⋊C4—611no—
1438C4⋊C4—611no—
1439C4⋊C4—611no—
1440C4⋊C4—611no—
1441C4⋊C4—611no—
1442C4⋊C4—611no—
1443C4⋊C4—611no—
1444C4⋊C4—611no—
1445C4⋊C4—611no—
1446C4⋊C4—611no—
1447C4⋊C4—611no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4—1221no—
1457C4⋊C4—1221no—
1458C4⋊C4—1221no—
1459C4⋊C4—1221no—
1460C4⋊C4—1221no—
1461C4⋊C4—1221no—
1462C4⋊C4—1221no—
1463C4⋊C4—1221no—
1464C4⋊C4—1221no—
1465C4⋊C4—1221no—
1466C4⋊C4—1221no—
1467C4⋊C4—1221no—
1468C4⋊C4—1221no—
1469C4⋊C4—1221no—
1470C4⋊C4—1221no—
1471C4⋊C4D4×D6111yescharacteristic
1472C4⋊C4D4×D6111yescharacteristic
1473C4⋊C4D4×D6111yescharacteristic
1474C4⋊C4C23×D6111yescharacteristic
1475C4⋊C4C23×D6111yescharacteristic
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C22⋊C4—1221no—
1499C22⋊C4—1221no—
1500C22⋊C4—1221no—
1501C22⋊C4—1221no—
1502C22⋊C4—1221no—
1503C22⋊C4—1221no—
1504C22⋊C4—1221no—
1505C22⋊C4—1221no—
1506C22⋊C4—1221no—
1507C22⋊C4—1221no—
1508C22⋊C4—1221no—
1509C22⋊C4—1221no—
1510C22⋊C4—1221no—
1511C22⋊C4—1221no—
1512C22⋊C4—1221no—
1513C22⋊C4—1221no—
1514C22⋊C4—1221no—
1515C22⋊C4—1221no—
1516C22⋊C4—1221no—
1517C22⋊C4—1221no—
1518C42—21no—
1519C42—21no—
1520C42—611no—
1521C42—611no—
1522C42—611no—
1523C42—611no—
1524C42—611no—
1525C42—611no—
1526C42—611no—
1527C42—611no—
1528C42—611no—
1529C42—1221no—
1530C42—1221no—
1531C42—1221no—
1532C42—1221no—
1533C42—1221no—
1534C42—1221no—
1535C42—1221no—
1536C42—1221no—
1537C42C23×D6111yescharacteristic
1538C42C23×D6111yescharacteristic
1539C42C23×D6111yescharacteristic
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—611no—
1545C23—1221no—
1546C23—1221no—
1547C23—2442no—
1548C23—2442no—
1549C23—2442no—
1550C23—2442no—
1551C23—2442no—
1552C23—2442no—
1553Q8—21no—
1554Q8—21no—
1555Q8—21no—
1556Q8—21no—
1557Q8—41no—
1558Q8—1221no—
1559Q8—1221no—
1560Q8—1221no—
1561Q8—1221no—
1562Q8—4881no—
1563Q8—2441no—
1564Q8—2441no—
1565Q8—2441no—
1566Q8—2442no—
1567Q8—2442no—
1568D4—21no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—42no—
1577D4—42no—
1578D4—81no—
1579D4—81no—
1580D4—1221no—
1581D4—1221no—
1582D4—1221no—
1583D4—1221no—
1584D4—4881no—
1585D4—4881no—
1586D4—4881no—
1587D4—2442no—
1588D4—2442no—
1589D4—2442no—
1590D4—2442no—
1591D4—2442no—
1592D4—2442no—
1593D4—2442no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—81no—
1599C2×C4—81no—
1600C2×C4—81no—
1601C2×C4—81no—
1602C2×C4—611no—
1603C2×C4—611no—
1604C2×C4—611no—
1605C2×C4—611no—
1606C2×C4—611no—
1607C2×C4—611no—
1608C2×C4—611no—
1609C2×C4—1222no—
1610C2×C4—1222no—
1611C2×C4—1222no—
1612C2×C4—1221no—
1613C2×C4—1221no—
1614C2×C4—1221no—
1615C2×C4—1221no—
1616C2×C4—1221no—
1617C2×C4—1221no—
1618C2×C4—1221no—
1619C2×C4—1221no—
1620C2×C4—4881no—
1621C2×C4—4881no—
1622C2×C4—4881no—
1623C2×C4—4881no—
1624C2×C4—4881no—
1625C2×C4—4881no—
1626C2×C4—4881no—
1627C2×C4—4881no—
1628C2×C4—2441no—
1629C2×C4—2441no—
1630C2×C4—2441no—
1631C2×C4—2442no—
1632C2×C4—2442no—
1633C2×C4—2442no—
1634C2×C4—2442no—
1635C2×C4C2×D4×D6111yescharacteristic
1636C2×C4C2×D4×D6111yescharacteristic
1637C2×C4C2×D4×D6111yescharacteristic
1638C2×C4C2×D4×D6111yescharacteristic
1639C2×C4C2×D4×D6111yescharacteristic
1640C2×C4C2×D4×D6111yescharacteristic
1641C2×C4C24×D6111yescharacteristic
1642C8—21no—
1643C8—21no—
1644C8—21no—
1645C8—21no—
1646C8—1221no—
1647C8—1221no—
1648C8—1221no—
1649C8—1221no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—612no—
1663C22—1221no—
1664C22—1221no—
1665C22—4884no—
1666C22—4884no—
1667C22—2441no—
1668C22—2441no—
1669C22—2441no—
1670C22—2441no—
1671C22—2441no—
1672C22—2441no—
1673C22C22×D4×D6111yescharacteristic
1674C4—21no—
1675C4—21no—
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—1221no—
1685C4—1221no—
1686C4—1221no—
1687C4—1221no—
1688C4—1221no—
1689C4—1221no—
1690C4—1221no—
1691C4—2441no—
1692C4—2441no—
1693C4—2441no—
1694C4—2441no—
1695C4—2441no—
1696C4—2441no—
1697C4#1684059711yescharacteristic
1698C4#1684059811yescharacteristic
1699C2—81no—
1700C2—81no—
1701C2—81no—
1702C2—81no—
1703C2—1222no—
1704C2—4881no—
1705C2—4881no—
1706C2#2145947211yescharacteristic
1707C2#575×D6111yescharacteristic
1708C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3403C2
socleC22×C61C23×D4
hypercenter#3403D61
hypocenterC61#61895
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3403

Complements

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

NH ≅ G/Ntype
1. #21459676C2semidirect
2. #559×D61C2semidirect
3. #21458904C2semidirect
4. #21458903C2semidirect
5. #21458902C2semidirect
6. #21458891C2semidirect
7. #21458888C2semidirect
8. #21458883C2semidirect
9. #21458880C2semidirect
10. #21458592C2semidirect
11. #21458589C2semidirect
12. #21458584C2semidirect
13. #21458581C2semidirect
14. #21458576C2semidirect
15. #21458573C2semidirect
16. #21458568C2semidirect
17. #21458565C2semidirect
18. #21456836C2semidirect
19. #21456833C2semidirect
20. #21456820C2semidirect
21. #21456801C2semidirect
22. #21456782C2semidirect
23. #21456779C2semidirect
24. #21455989C2semidirect
25. #21455988C2semidirect
26. #21455916C2semidirect
27. #21455909C2semidirect
28. #21455865C2semidirect
29. #21455864C2semidirect
30. #21454901C2semidirect
31. C61×#3403C2semidirect
33. #16840498C22semidirect
44. #16840491C22semidirect
45. #16840490C22semidirect
48. #16840481C22semidirect
49. #16840481C22semidirect
50. #16840471C22semidirect
51. #16840471C22semidirect
75. #16840155C22semidirect
76. #16840153C22semidirect
80. #16840149C22semidirect
81. #16840145C22semidirect
82. #16840144C22semidirect
83. #16840143C22semidirect
88. #16840123C22semidirect
89. #16840122C22semidirect
90. #16840121C22semidirect
91. #16840120C22semidirect
92. #16840118C22semidirect
93. #16840117C22semidirect
94. #16840116C22semidirect
95. #16840115C22semidirect
100. #16840070C22semidirect
101. #16840069C22semidirect
102. #16840068C22semidirect
103. #16840067C22semidirect
104. #16840065C22semidirect
105. #16840064C22semidirect
106. #16840063C22semidirect
107. #16840062C22semidirect
108. #16840053C22semidirect
109. #16840052C22semidirect
110. #16840041C22semidirect
111. #16840040C22semidirect
112. #16839986C22semidirect
113. #16839985C22semidirect
114. #16839985C22semidirect
115. #16839984C22semidirect
116. #16839983C22semidirect
117. #16839982C22semidirect
118. #16839982C22semidirect
119. #16839981C22semidirect
120. #16839981C22semidirect
121. #16839981C22semidirect
122. #16839979C22semidirect
123. #16839979C22semidirect
124. #16839979C22semidirect
125. #16839977C22semidirect
126. #16839976C22semidirect
127. #16839975C22semidirect
128. #16839975C22semidirect
129. #16839975C22semidirect
130. #16839975C22semidirect
131. #16839974C22semidirect
132. #16839966C22semidirect
133. #16839965C22semidirect
141. #16839954C22semidirect
154. #16839893C22semidirect
155. #16839892C22semidirect
156. #16839891C22semidirect
157. #16839891C22semidirect
158. #16839890C22semidirect
159. #16839890C22semidirect
160. #16839889C22semidirect
161. #16839874C22semidirect
162. #16839874C22semidirect
163. #16839871C22semidirect
164. #16839871C22semidirect
165. #16839870C22semidirect
166. #16839869C22semidirect
167. #16839867C22semidirect
168. #16839866C22semidirect
169. #16839864C22semidirect
170. #16839863C22semidirect
171. #16839862C22semidirect
172. #16839862C22semidirect
173. #16839860C22semidirect
174. #16839859C22semidirect
175. C4×#11758190C22semidirect
176. SD16×Dic61C22semidirect
177. C4×#11758200C22semidirect
178. #16839847C22semidirect
179. D8×Dic61C22semidirect
180. C4×#11758199C22semidirect
181. #16839842C22semidirect
189. C61×#559C22semidirect
191. C61×#496C22semidirect
192. C61×#495C22semidirect
193. C61×#464C22semidirect
194. C61×#464C22semidirect
195. C61×#463C22semidirect
196. C61×#463C22semidirect
198. C61×#459C22semidirect
199. C61×#446C22semidirect
200. C61×#440C22semidirect
201. C61×#440C22semidirect
202. C4×D8×C61C22semidirect
850. #3403D61semidirect
899. #559C2×D61semidirect
938. #496C2×D61semidirect
942. #495C2×D61semidirect
981. #464C2×D61semidirect
982. #464C2×D61semidirect
993. #463C2×D61semidirect
994. #463C2×D61semidirect
1006. #459C2×D61semidirect
1026. #446C2×D61semidirect
1041. #440C2×D61semidirect
1042. #440C2×D61semidirect
1050. C4×D8C2×D61semidirect
1057. C61#61895semidirect

Maximal subgroups

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

subgroupindex
#214596762
#559×D612
#214589042
#214589032
#214589022
#214588912
#214588882
#214588832
#214588802
#214585922
#214585892
#214585842
#214585812
#214585762
#214585732
#214585682
#214585652
#214568362
#214568332
#214568202
#214568012
#214567822
#214567792
#214559892
#214559882
#214559162
#214559092
#214558652
#214558642
#214549012
C61×#34032
#6189561