Finite Group Databasebeta

← #30575956

Subgroups — #30575956

Order 15616.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459702C211yesmaximal, characteristic, complemented
2#21459415C211yesmaximal, characteristic
3#21458788C211yesmaximal, characteristic, complemented
4#21458782C211yesmaximal, characteristic, complemented
5#21458581C211yesmaximal, characteristic, complemented
6#21458386C211yesmaximal, characteristic, complemented
7#21458384C211yesmaximal, characteristic, complemented
8#21458371C211yesmaximal, characteristic, complemented
9#21458369C211yesmaximal, characteristic, complemented
10#21458356C211yesmaximal, characteristic, complemented
11#21458354C211yesmaximal, characteristic, complemented
12#21458094C211yesmaximal, characteristic, complemented
13#21458086C211yesmaximal, characteristic, complemented
14#21457952C211yesmaximal, characteristic, complemented
15#21457944C211yesmaximal, characteristic, complemented
16#21457892C211yesmaximal, characteristic, complemented
17#21457884C211yesmaximal, characteristic, complemented
18#21457204C211yesmaximal, characteristic, complemented
19#21457189C211yesmaximal, characteristic, complemented
20#21457153C211yesmaximal, characteristic, complemented
21#21457045C211yesmaximal, characteristic, complemented
22#21457012C211yesmaximal, characteristic, complemented
23#21456993C211yesmaximal, characteristic, complemented
24#21455977C211yesmaximal, characteristic, complemented
25#21455947C211yesmaximal, characteristic, complemented
26#21455886C211yesmaximal, characteristic, complemented
27#21455631C211yesmaximal, characteristic, complemented
28#21455622C211yesmaximal, characteristic, complemented
29#21455604C211yesmaximal, characteristic, complemented
30#21454935C211yesmaximal, characteristic, complemented
31C61×#3371C211yesmaximal, characteristic, complemented
32#16840495—21no—
33#16840490C2211yescharacteristic
34#16840490C2211yescharacteristic
35#16840487—21no—
36#16840486C2211yescharacteristic
37#16840485C2211yescharacteristic
38#16840485C2211yescharacteristic
39#16840484—21no—
40#16840481—21no—
41#16840462C2211yescharacteristic
42#16840462C2211yescharacteristic
43#16840457—21no—
44#16840457—21no—
45#16840453C2211yescharacteristic
46#16840453C2211yescharacteristic
47#16840450C2211yescharacteristic
48#16840450C2211yescharacteristic
49#16840444—21no—
50#16840444—21no—
51#16840432C2211yescharacteristic
52#16840420C2211yescharacteristic
53#16840420C2211yescharacteristic
54#16840371—21no—
55#16840371—21no—
56#16840337—21no—
57#16840318C2211yescharacteristic
58#16840318C2211yescharacteristic
59#16840316C2211yescharacteristic
60#16840316C2211yescharacteristic
61#16840316C2211yescharacteristic
62#16840311—21no—
63#16840310C2211yescharacteristic
64C4⋊Q8×D61C2211yescharacteristic
65#16840291C2211yescharacteristic
66#16840291C2211yescharacteristic
67#16840289—21no—
68#16840289—21no—
69#16840238—21no—
70C4×#11758226C2211yescharacteristic
71C4×#11758224—21no—
72C4×#11758224C2211yescharacteristic
73C4×#11758224C2211yescharacteristic
74C4×Q8×D61C2211yescharacteristic
75#16840172C2211yescharacteristic
76#16840171C2211yescharacteristic
77#16840171C2211yescharacteristic
78#16840168C2211yescharacteristic
79#16840164C2211yescharacteristic
80#16840161C2211yescharacteristic
81#16840126C2211yescharacteristic
82#16840121C2211yescharacteristic
83#16840116C2211yescharacteristic
84#16840106C2211yescharacteristic
85#16840105C2211yescharacteristic
86#16840102C2211yescharacteristic
87#16840102C2211yescharacteristic
88#16840101C2211yescharacteristic
89#16840101C2211yescharacteristic
90#16840096C2211yescharacteristic
91#16840096C2211yescharacteristic
92#16840094C2211yescharacteristic
93#16840091C2211yescharacteristic
94#16840085C2211yescharacteristic
95#16840085C2211yescharacteristic
96#16840085C2211yescharacteristic
97#16840084C2211yescharacteristic
98#16840084C2211yescharacteristic
99#16840084C2211yescharacteristic
100#16840079C2211yescharacteristic
101#16840079C2211yescharacteristic
102#16840070C2211yescharacteristic
103#16840070C2211yescharacteristic
104#16840070C2211yescharacteristic
105#16840070C2211yescharacteristic
106#16840069C2211yescharacteristic
107#16840069C2211yescharacteristic
108#16840069C2211yescharacteristic
109#16840066C2211yescharacteristic
110#16840066C2211yescharacteristic
111#16840062C2211yescharacteristic
112#16840058C2211yescharacteristic
113#16840058C2211yescharacteristic
114#16840057C2211yescharacteristic
115#16840056C2211yescharacteristic
116#16840055C2211yescharacteristic
117#16840054C2211yescharacteristic
118#16840052C2211yescharacteristic
119#16840050C2211yescharacteristic
120#16840050C2211yescharacteristic
121#16840046C2211yescharacteristic
122#16840046C2211yescharacteristic
123#16840045C2211yescharacteristic
124#16840045C2211yescharacteristic
125#16840040C2211yescharacteristic
126#16840040C2211yescharacteristic
127#16840040C2211yescharacteristic
128#16840040C2211yescharacteristic
129#16840019C2211yescharacteristic
130#16840017C2211yescharacteristic
131#16840007C2211yescharacteristic
132#16840007C2211yescharacteristic
133#16840007C2211yescharacteristic
134#16840005C2211yescharacteristic
135#16840005C2211yescharacteristic
136#16840005C2211yescharacteristic
137#16840002C2211yescharacteristic
138#16840000C2211yescharacteristic
139#16839990C2211yescharacteristic
140#16839988C2211yescharacteristic
141#16839981C2211yescharacteristic
142#16839981C2211yescharacteristic
143#16839971C2211yescharacteristic
144#16839970C2211yescharacteristic
145#16839965C2211yescharacteristic
146#16839965C2211yescharacteristic
147#16839959C2211yescharacteristic
148#16839925C2211yescharacteristic
149#16839925C2211yescharacteristic
150#16839921C2211yescharacteristic
151#16839921C2211yescharacteristic
152#16839919C2211yescharacteristic
153#16839916C2211yescharacteristic
154#16839893C2211yescharacteristic
155#16839870C2211yescharacteristic
156#16839870C2211yescharacteristic
157#16839867C2211yescharacteristic
158#16839867C2211yescharacteristic
159#16839867C2211yescharacteristic
160#16839862C2211yescharacteristic
161C4×Dic244C2211yescharacteristic
162C4×#11758202C2211yescharacteristic
163C4×#11758200C2211yescharacteristic
164#16839841C2211yescharacteristic
165#16839839C2211yescharacteristic
166#16839835C2211yescharacteristic
167#16839835C2211yescharacteristic
168#16839832C2211yescharacteristic
169#16839832C2211yescharacteristic
170#16839817C2211yescharacteristic
171#16839817C2211yescharacteristic
172#16839813C2211yescharacteristic
173#16839803C2211yescharacteristic
174#16839801C2211yescharacteristic
175#16839801C2211yescharacteristic
176#16839801C2211yescharacteristic
177#16839799C2211yescharacteristic
178#16839797C2211yescharacteristic
179#16839784C2211yescharacteristic
180#16839784C2211yescharacteristic
181C4⋊C8×D61C2211yescharacteristic
182#16839769C2211yescharacteristic
183#16839769C2211yescharacteristic
184#16839760C2211yescharacteristic
185#16839760C2211yescharacteristic
186#16839755C2211yescharacteristic
187#16839755C2211yescharacteristic
188C61×#559C2211yescharacteristic
189C61×#557C2211yescharacteristic
190C61×#490C2211yescharacteristic
191C61×#489C2211yescharacteristic
192C61×#488C2211yescharacteristic
193C61×#479C2211yescharacteristic
194C61×#478C2211yescharacteristic
195C61×#476C2211yescharacteristic
196C61×#464C2211yescharacteristic
197C61×#464C2211yescharacteristic
198C61×#460C2211yescharacteristic
199C61×#446C2211yescharacteristic
200C61×#441C2211yescharacteristic
201C61×#440C2211yescharacteristic
202C4×SD16×C61C2211yescharacteristic
203C2×#11758226D411yescharacteristic
204C2×#11758224—21no—
205C2×#11758224C2311yescharacteristic
206C2×#11758224C2311yescharacteristic
207C2×Q8×D61—21no—
208C2×Q8×D61C2311yescharacteristic
209C2×Dic244C2311yescharacteristic
210C2×#11758202C2311yescharacteristic
211C2×#11758202C2311yescharacteristic
212C2×#11758200C2311yescharacteristic
213C2×#11758200C2311yescharacteristic
214C2×#11758189C2311yescharacteristic
215C2×#11758189C2311yescharacteristic
216C2×#11758189C2311yescharacteristic
217C2×#11758189C2311yescharacteristic
218C2×C8×D61C2311yescharacteristic
219C2×C8×D61C2311yescharacteristic
220#14519777C2311yescharacteristic
221#14519777C2311yescharacteristic
222#14519776—21no—
223#14519776C2311yescharacteristic
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519775—21no—
227#14519775—21no—
228#14519775—21no—
229#14519775C2311yescharacteristic
230#14519773—21no—
231#14519772—21no—
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519772—21no—
238#14519772—21no—
239#14519771—21no—
240#14519771—21no—
241#14519770—21no—
242#14519770—21no—
243#14519770—21no—
244#14519770—21no—
245#14519769C2311yescharacteristic
246#14519769C2311yescharacteristic
247#14519769C2311yescharacteristic
248#14519769C2311yescharacteristic
249#14519768—21no—
250#14519768—21no—
251#14519767—21no—
252#14519767—21no—
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519766—21no—
261#14519765—21no—
262#14519765—21no—
263#14519764—21no—
264#14519763—21no—
265#14519763—21no—
266#14519762—21no—
267#14519762—21no—
268#14519762—21no—
269#14519762—21no—
270#14519760—21no—
271#14519760—21no—
272#14519759—21no—
273#14519759—21no—
274#14519757C2311yescharacteristic
275#14519757C2311yescharacteristic
276#14519757C2311yescharacteristic
277#14519755—21no—
278#14519755—21no—
279#14519755—21no—
280#14519755—21no—
281#14519755—21no—
282#14519755—21no—
283#14519755—21no—
284#14519754—21no—
285#14519754—21no—
286#14519753C2311yescharacteristic
287#14519753C2311yescharacteristic
288#14519753C2311yescharacteristic
289#14519753C2311yescharacteristic
290#14519753C2311yescharacteristic
291#14519750—21no—
292#14519750—21no—
293#14519750—21no—
294#14519750—21no—
295#14519749—21no—
296#14519749—21no—
297#14519748—21no—
298#14519748C2311yescharacteristic
299#14519748C2311yescharacteristic
300#14519748C2311yescharacteristic
301#14519748C2311yescharacteristic
302Q8×Dic61—21no—
303Q8×Dic61D411yescharacteristic
304Q8×Dic61C2311yescharacteristic
305C4×Dic122—21no—
306C4×Dic122—21no—
307C4×Dic122—21no—
308C4×Dic122—21no—
309C4×Dic122—21no—
310C4×Dic122—21no—
311C4×Dic122C2311yescharacteristic
312C4×Dic122C2311yescharacteristic
313C4×Dic122C2311yescharacteristic
314C4×Dic122C2311yescharacteristic
315C4×Dic122C2311yescharacteristic
316C4×Dic122C2311yescharacteristic
317#14519742—21no—
318#14519742—21no—
319#14519742—21no—
320#14519742—21no—
321#14519742—21no—
322#14519742—21no—
323#14519742—21no—
324#14519742C2311yescharacteristic
325C4×D244C2311yescharacteristic
326C4×D244C2311yescharacteristic
327C4×D244C2311yescharacteristic
328D4×Dic61—21no—
329D4×Dic61—21no—
330D4×Dic61C2311yescharacteristic
331D4×Dic61C2311yescharacteristic
332#14519739D411yescharacteristic
333#14519739D411yescharacteristic
334#14519739D411yescharacteristic
335C4×C22⋊D61—21no—
336C4×C22⋊D61—21no—
337C4×C22⋊D61—21no—
338C4×C22⋊D61—21no—
339#14519737—21no—
340#14519737—21no—
341#14519737—21no—
342#14519737—21no—
343#14519737—21no—
344#14519737—21no—
345#14519735—21no—
346#14519735—21no—
347#14519735D411yescharacteristic
348#14519735D411yescharacteristic
349#14519735D411yescharacteristic
350#14519735C2311yescharacteristic
351#14519735C2311yescharacteristic
352#14519735C2311yescharacteristic
353#14519735C2311yescharacteristic
354#14519735C2311yescharacteristic
355#14519735C2311yescharacteristic
356#14519734—21no—
357#14519734—21no—
358#14519734—21no—
359#14519734—21no—
360#14519734—21no—
361#14519733—21no—
362#14519733—21no—
363#14519733—21no—
364#14519733—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61C2311yescharacteristic
368C4⋊C4×D61C2311yescharacteristic
369C4⋊C4×D61C2311yescharacteristic
370C2×C4×Dic61—21no—
371C2×C4×Dic61—21no—
372C42×D61—21no—
373C42×D61C2311yescharacteristic
374C42×D61C2311yescharacteristic
375C42×D61C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519711C2311yescharacteristic
380#14519711C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519709C2311yescharacteristic
390#14519709C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397C4⋊#92418C2311yescharacteristic
398C4⋊#92418C2311yescharacteristic
399C4⋊#92418C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519688C2311yescharacteristic
433#14519688C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C2×Q16×C61C2311yescharacteristic
436C2×SD16×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C4⋊Q8×C61—21no—
439C4⋊Q8×C61C2311yescharacteristic
440#127×C61C2311yescharacteristic
441#125×C61—21no—
442#125×C61—21no—
443#125×C61C2311yescharacteristic
444#125×C61C2311yescharacteristic
445#124×C61—21no—
446#124×C61C2311yescharacteristic
447#124×C61C2311yescharacteristic
448#123×C61—21no—
449#123×C61—21no—
450C4×Q8×C61—21no—
451C4×Q8×C61C2311yescharacteristic
452C4×Q8×C61C2311yescharacteristic
453C4×Q8×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×D4×C61—21no—
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#106×C61C2311yescharacteristic
461#106×C61C2311yescharacteristic
462C4⋊C8×C61C2311yescharacteristic
463C4⋊C8×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#103×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×Q8×C61C2×D411yescharacteristic
480C2×Q8×C61C2411yescharacteristic
481C2×Q8×C61C2411yescharacteristic
482C2×D4×C61—21no—
483C2×D4×C61—21no—
484C2×D4×C61C2411yescharacteristic
485C2×D4×C61C2411yescharacteristic
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C2×C22⋊D61—21no—
489C2×C22⋊D61—21no—
490C2×C22⋊D61—21no—
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C22×Dic61—21no—
495C22×Dic61—21no—
496C22×Dic61—21no—
497C22×Dic61—21no—
498#11758226—42no—
499Q8×D61—22no—
500Q8×D61—41no—
501Q8×D61—44no—
502#11758224—22no—
503#11758224—22no—
504#11758224—41no—
505#11758224—41no—
506#11758224—44no—
507C2×D244C2×D411yescharacteristic
508C2×D244C2×D411yescharacteristic
509C2×D244C2×D411yescharacteristic
510C2×C4×D61—21no—
511C2×C4×D61—21no—
512C2×C4×D61—21no—
513C2×C4×D61—21no—
514C2×C4×D61C2×D411yescharacteristic
515C2×C4×D61C2×D411yescharacteristic
516C2×C4×D61C2×D411yescharacteristic
517C2×C4×D61C2×D411yescharacteristic
518C2×C4×D61C2×D411yescharacteristic
519C2×C4×D61C2×D411yescharacteristic
520C2×C4×D61C2411yescharacteristic
521C2×C4×D61C2411yescharacteristic
522C2×C4×D61C2411yescharacteristic
523C2×Dic122—21no—
524C2×Dic122—21no—
525C2×Dic122—21no—
526C2×Dic122—21no—
527C2×Dic122—21no—
528C2×Dic122—21no—
529C2×Dic122C2411yescharacteristic
530C2×Dic122C2411yescharacteristic
531Q16×C61—41no—
532SD16×C61—41no—
533SD16×C61—41no—
534C2×C8×C61C2411yescharacteristic
535C2×C8×C61C2411yescharacteristic
536C2×C8×C61C2411yescharacteristic
537C2×C8×C61C2411yescharacteristic
538C4⋊C4×C61—21no—
539C4⋊C4×C61—21no—
540C4⋊C4×C61—21no—
541C4⋊C4×C61—21no—
542C4⋊C4×C61—21no—
543C4⋊C4×C61—21no—
544C4⋊C4×C61—21no—
545C4⋊C4×C61—21no—
546C4⋊C4×C61—21no—
547C4⋊C4×C61C2×D411yescharacteristic
548C4⋊C4×C61C2×D411yescharacteristic
549C4⋊C4×C61C2×D411yescharacteristic
550C4⋊C4×C61C2411yescharacteristic
551C4⋊C4×C61C2411yescharacteristic
552C4⋊C4×C61C2411yescharacteristic
553C4⋊C4×C61C2411yescharacteristic
554C22⋊C4×C61—21no—
555C22⋊C4×C61—21no—
556C22⋊C4×C61—21no—
557C22⋊C4×C61—21no—
558C22⋊C4×C61—21no—
559C22⋊C4×C61—21no—
560C42×C61—21no—
561C42×C61—21no—
562C42×C61—21no—
563C42×C61—21no—
564C42×C61C2411yescharacteristic
565C42×C61C2411yescharacteristic
566C42×C61C2411yescharacteristic
567C22⋊Dic61—21no—
568C22⋊Dic61—21no—
569C22⋊Dic61—21no—
570C22⋊Dic61—21no—
571C22⋊Dic61—21no—
572C22⋊Dic61—21no—
573#11758202—22no—
574#11758202—41no—
575#11758200—41no—
576#11758200—41no—
577#11758198—21no—
578#11758198—21no—
579#11758198—21no—
580#11758198—21no—
581#11758198—21no—
582#11758198—21no—
583#11758198—21no—
584#11758198—21no—
585#11758198—21no—
586#11758198—21no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198C2×D411yescharacteristic
592#11758198C2×D411yescharacteristic
593#11758198C2×D411yescharacteristic
594#11758198C2×D411yescharacteristic
595#11758198C2×D411yescharacteristic
596#11758198C2×D411yescharacteristic
597C4⋊Dic61—21no—
598C4⋊Dic61—21no—
599C4⋊Dic61—21no—
600C4⋊Dic61—21no—
601C4⋊Dic61—21no—
602C4⋊Dic61—21no—
603C4⋊Dic61C2×D411yescharacteristic
604C4⋊Dic61C2×D411yescharacteristic
605C4⋊Dic61C2×D411yescharacteristic
606C4⋊Dic61C2411yescharacteristic
607C4⋊Dic61C2411yescharacteristic
608C4⋊Dic61C2411yescharacteristic
609C4⋊Dic61C2411yescharacteristic
610C4⋊Dic61C2411yescharacteristic
611C4⋊Dic61C2411yescharacteristic
612#11758196—21no—
613#11758196—21no—
614#11758196—21no—
615#11758196—21no—
616#11758196—21no—
617#11758196—21no—
618#11758196—21no—
619#11758196—21no—
620#11758196—21no—
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
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—
640C4×Dic61—21no—
641C4×Dic61—21no—
642C4×Dic61—21no—
643C4×Dic61—21no—
644C4×Dic61—21no—
645C4×Dic61—21no—
646C4×Dic61—21no—
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61C2×D411yescharacteristic
655C4×Dic61C2×D411yescharacteristic
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2411yescharacteristic
661C2×#92418C2411yescharacteristic
662C2×#92418C2411yescharacteristic
663C2×#92418C2411yescharacteristic
664C2×#92418C2411yescharacteristic
665Dic244—22no—
666#11758189—41no—
667#11758189—41no—
668#11758189—41no—
669#11758189—41no—
670C8×D61—41no—
671C8×D61—41no—
672C23×C61—21no—
673C23×C61—21no—
674C22×D61C22×D411yescharacteristic
675C22×D61C22×D411yescharacteristic
676C22×D61C22×D411yescharacteristic
677Q8×C61—21no—
678Q8×C61—21no—
679Q8×C61—21no—
680Q8×C61—21no—
681Q8×C61—41no—
682Q8×C61—42no—
683D4×C61—21no—
684D4×C61—21no—
685D4×C61—21no—
686D4×C61—21no—
687D4×C61—42no—
688D4×C61—81no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—81no—
696C2×C4×C61—81no—
697C2×C4×C61C22×D411yescharacteristic
698C2×C4×C61C22×D411yescharacteristic
699C2×C4×C61C22×D411yescharacteristic
700C2×C4×C61C22×D411yescharacteristic
701C2×C4×C61C22×D411yescharacteristic
702C2×C4×C61C22×D411yescharacteristic
703C2×C4×C61C2511yescharacteristic
704C22⋊D61—42no—
705C22⋊D61—42no—
706C22⋊D61—42no—
707C22⋊D61—42no—
708C22⋊D61—81no—
709C22⋊D61—81no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—42no—
719C2×Dic61—42no—
720C2×Dic61—42no—
721C2×Dic61—42no—
722C2×Dic61C22×D411yescharacteristic
723C2×Dic61C22×D411yescharacteristic
724C2×Dic61C22×D411yescharacteristic
725C2×Dic61C22×D411yescharacteristic
726C2×Dic61C22×D411yescharacteristic
727D244—41no—
728D244—41no—
729D244—41no—
730C4×D61—21no—
731C4×D61—21no—
732C4×D61—21no—
733C4×D61—21no—
734C4×D61—21no—
735C4×D61—21no—
736C4×D61—22no—
737C4×D61—22no—
738C4×D61—22no—
739C4×D61—41no—
740C4×D61—41no—
741C4×D61—41no—
742C4×D61—42no—
743C4×D61—42no—
744C4×D61—42no—
745C4×D61—81no—
746Dic122—21no—
747Dic122—21no—
748Dic122—21no—
749Dic122—42no—
750Dic122—42no—
751Dic122—42no—
752Dic122—42no—
753Dic122—42no—
754Dic122—42no—
755Dic1222−1+412yes—
756C8×C61—21no—
757C8×C61—21no—
758C8×C61—21no—
759C8×C61—21no—
760#92418—21no—
761#92418—21no—
762#92418—21no—
763#92418—21no—
764#62118—611nomaximal, Sylow
765C22×C61—41no—
766C22×C61—41no—
767C22×C61—41no—
768C22×C61—41no—
769C22×C61—41no—
770C22×C61—41no—
771C22×C61C23×D411yescharacteristic
772C2×D61—21no—
773C2×D61—21no—
774C2×D61—21no—
775C2×D61—21no—
776C2×D61—21no—
777C2×D61—21no—
778C2×D61—21no—
779C2×D61—21no—
780C2×D61—21no—
781C4×C61—21no—
782C4×C61—21no—
783C4×C61—21no—
784C4×C61—21no—
785C4×C61—21no—
786C4×C61—21no—
787C4×C61—41no—
788C4×C61—41no—
789C4×C61—41no—
790C4×C61—41no—
791C4×C61—41no—
792C4×C61—41no—
793C4×C61C2×2−1+411yescharacteristic
794C4×C61#58511yescharacteristic
795Dic61—21no—
796Dic61—22no—
797Dic61—21no—
798Dic61—21no—
799Dic61—21no—
800Dic61—41no—
801Dic61—41no—
802Dic61—41no—
803Dic61—41no—
804Dic61—41no—
805Dic61—41no—
806Dic61—41no—
807Dic61#57512yes—
808#3509—611no—
809#3480—611no—
810#3390—611no—
811#3390—611no—
812#3371—611no—
813#3371D6111yescharacteristic, complemented
814#3351—611no—
815#3351—611no—
816#3350—611no—
817#3350—611no—
818#3349—611no—
819#3349—611no—
820#3327—611no—
821#3327—611no—
822#3317—611no—
823#3317—611no—
824#3313—611no—
825#3313—611no—
826#3254—611no—
827#3252—611no—
828#3248—611no—
829#3239—611no—
830#3235—611no—
831#3233—611no—
832#3116—611no—
833#3113—611no—
834#3107—611no—
835#3079—611no—
836#3078—611no—
837#3076—611no—
838#2989—611no—
839C2×C61—81no—
840C2×C61—81no—
841C2×C61#348911yescharacteristic
842C2×C61C2×#57511yescharacteristic
843C2×C61#358611yescharacteristic
844D61—41no—
845D61—41no—
846D61—41no—
847#559—1221no—
848#559C2×D6111yescharacteristic
849#557—611no—
850#557—611no—
851#557—1221no—
852#557C2×D6111yescharacteristic
853#556—611no—
854#556—611no—
855#556—611no—
856#556—1221no—
857#556—1221no—
858#553—611no—
859#553—611no—
860#553—1221no—
861#553—1221no—
862#552—611no—
863#552—611no—
864#552—611no—
865#552—611no—
866#552—1221no—
867#552—1221no—
868#550—611no—
869#548—611no—
870#548—611no—
871#541—1221no—
872#541—1221no—
873#536—1221no—
874#533—611no—
875#533—611no—
876#533—611no—
877#533—611no—
878#533—611no—
879#532—611no—
880#532—1221no—
881C2×C4⋊Q8—611no—
882#529—611no—
883#529—611no—
884#529—1221no—
885#529—1221no—
886#519—1221no—
887C4×#41—611no—
888C4×#41—611no—
889C4×#41—611no—
890C4×#41—1221no—
891C2×C4×Q8—611no—
892#501—611no—
893#501—611no—
894#501—611no—
895#501—611no—
896#499—611no—
897#499—611no—
898#490—611no—
899#490C2×D6111yescharacteristic
900#489—611no—
901#489C2×D6111yescharacteristic
902#488—611no—
903#488C2×D6111yescharacteristic
904#485—611no—
905#485—611no—
906#485—611no—
907#485—611no—
908#485—611no—
909#485—611no—
910#484—611no—
911#484—611no—
912#483—611no—
913#483—611no—
914#482—611no—
915#482—611no—
916#482—611no—
917#482—611no—
918#482—611no—
919#482—611no—
920#481—611no—
921#481—611no—
922#479—611no—
923#479—611no—
924#479—611no—
925#479—611no—
926#479—611no—
927#479—611no—
928#479—611no—
929#479—611no—
930#479—611no—
931#479C2×D6111yescharacteristic
932#478—611no—
933#478C2×D6111yescharacteristic
934#477—611no—
935#477—611no—
936#477—611no—
937#477—611no—
938#477—611no—
939#477—611no—
940#476—611no—
941#476—611no—
942#476—611no—
943#476C2×D6111yescharacteristic
944#475—611no—
945#475—611no—
946#475—611no—
947#475—611no—
948#474—611no—
949#474—611no—
950#474—611no—
951#474—611no—
952#470—611no—
953#470—611no—
954#468—611no—
955#468—611no—
956#468—611no—
957#468—611no—
958#468—611no—
959#468—611no—
960#467—611no—
961#467—611no—
962#465—611no—
963#465—611no—
964#464—611no—
965#464—611no—
966#464C2×D6111yescharacteristic
967#464C2×D6111yescharacteristic
968#462—611no—
969#462—611no—
970#461—611no—
971#461—611no—
972#460—611no—
973#460C2×D6111yescharacteristic
974#452—611no—
975#452—611no—
976#452—611no—
977#452—611no—
978#451—611no—
979#451—611no—
980#446—611no—
981#446C2×D6111yescharacteristic
982#441—611no—
983#441—611no—
984#441—611no—
985#441—611no—
986#441—611no—
987#441C2×D6111yescharacteristic
988#440—611no—
989#440C2×D6111yescharacteristic
990C4×Q16—611no—
991C4×Q16—611no—
992C4×SD16—611no—
993C4×SD16C2×D6111yescharacteristic
994#436—611no—
995#436—611no—
996#435—611no—
997#435—611no—
998#435—611no—
999#435—611no—
1000#432—611no—
1001#432—611no—
1002#431—611no—
1003#428—611no—
1004#428—611no—
1005#428—611no—
1006#428—611no—
1007#427—611no—
1008#427—611no—
1009#423—611no—
1010#423—611no—
1011C2×C4⋊C8—611no—
1012#419—611no—
1013#419—611no—
1014#417—611no—
1015#417—611no—
1016#416—611no—
1017#416—611no—
1018C61#6211811yescharacteristic, complemented, Sylow
1019C2×#41—611no—
1020C2×#41—611no—
1021C2×#41—611no—
1022C2×#41—1221no—
1023C22×Q8—611no—
1024C22×Q8—1221no—
1025C2×Q16—611no—
1026C2×Q16—611no—
1027C2×Q16—611no—
1028C2×Q16C22×D6111yescharacteristic
1029C2×SD16—611no—
1030C2×SD16—611no—
1031C2×SD16C22×D6111yescharacteristic
1032C2×SD16C22×D6111yescharacteristic
1033C2×M16—611no—
1034C2×M16—611no—
1035C2×M16—611no—
1036C2×M16—611no—
1037C22×C8—611no—
1038C22×C8—611no—
1039C4⋊Q8—21no—
1040C4⋊Q8—611no—
1041C4⋊Q8—611no—
1042C4⋊Q8—611no—
1043C4⋊Q8—611no—
1044C4⋊Q8—611no—
1045C4⋊Q8—611no—
1046C4⋊Q8—1221no—
1047C4⋊Q8—1221no—
1048C4⋊Q8—1221no—
1049C4⋊Q8—1221no—
1050C4⋊Q8C22×D6111yescharacteristic
1051#127—1221no—
1052#127C22×D6111yescharacteristic
1053#126—1221no—
1054#126—1221no—
1055#126—1221no—
1056#126—1221no—
1057#126—1221no—
1058#126—1221no—
1059#126—1221no—
1060#126—1221no—
1061#126—1221no—
1062#126—1221no—
1063#126—1221no—
1064#126—1221no—
1065#126—1221no—
1066#126—1221no—
1067#125—21no—
1068#125—21no—
1069#125—611no—
1070#125—611no—
1071#125—611no—
1072#125—611no—
1073#125—1221no—
1074#125—1221no—
1075#125—1221no—
1076#125—1221no—
1077#125—1221no—
1078#125—1221no—
1079#125—1221no—
1080#125—1221no—
1081#125—1221no—
1082#125—1221no—
1083#125—1221no—
1084#125C22×D6111yescharacteristic
1085#125C22×D6111yescharacteristic
1086#124—21no—
1087#124—1221no—
1088#124—1221no—
1089#124—1221no—
1090#124—1221no—
1091#124—1221no—
1092#124—1221no—
1093#124C22×D6111yescharacteristic
1094#124C22×D6111yescharacteristic
1095#123—21no—
1096#123—21no—
1097#123—1221no—
1098#123—1221no—
1099#123—1221no—
1100#123—1221no—
1101#123—1221no—
1102#123—1221no—
1103#123—1221no—
1104#123—1221no—
1105C22⋊Q8—611no—
1106C22⋊Q8—611no—
1107C22⋊Q8—611no—
1108C22⋊Q8—611no—
1109C22⋊Q8—611no—
1110C22⋊Q8—611no—
1111C22⋊Q8—611no—
1112C22⋊Q8—611no—
1113C22⋊Q8—1221no—
1114C22⋊Q8—1221no—
1115C22⋊Q8—1221no—
1116C22⋊Q8—1221no—
1117C22⋊Q8—1221no—
1118C22⋊Q8—1221no—
1119C22⋊Q8—1221no—
1120C22⋊Q8—1221no—
1121C22⋊Q8—1221no—
1122#121—611no—
1123#121—611no—
1124#121—611no—
1125#121—611no—
1126#121—1221no—
1127#121—1221no—
1128#121—1221no—
1129#121—1221no—
1130#121—1221no—
1131#121—1221no—
1132#121—1221no—
1133C4×Q8—21no—
1134C4×Q8—611no—
1135C4×Q8—611no—
1136C4×Q8—611no—
1137C4×Q8—611no—
1138C4×Q8—611no—
1139C4×Q8—611no—
1140C4×Q8—611no—
1141C4×Q8—611no—
1142C4×Q8—611no—
1143C4×Q8—1221no—
1144C4×Q8—1221no—
1145C4×Q8—1221no—
1146C4×Q8—1221no—
1147C4×Q8—1221no—
1148C4×Q8—1221no—
1149C4×Q8—1221no—
1150C4×Q8—1221no—
1151C4×Q8—1221no—
1152C4×Q8—1221no—
1153C4×Q8—1221no—
1154C4×Q8—1221no—
1155C4×Q8—1221no—
1156C4×Q8—1221no—
1157C4×Q8C22×D6111yescharacteristic
1158C4×Q8C22×D6111yescharacteristic
1159C4×Q8C22×D6111yescharacteristic
1160C4×Q8C22×D6111yescharacteristic
1161C4×Q8C22×D6111yescharacteristic
1162C4×D4—21no—
1163C4×D4—611no—
1164C4×D4—611no—
1165C4×D4—611no—
1166C4×D4—611no—
1167C4×D4—611no—
1168C4×D4—611no—
1169C4×D4—611no—
1170C4×D4—611no—
1171C4×D4—1221no—
1172C4×D4—1221no—
1173C4×D4—1221no—
1174C4×D4—1221no—
1175C4×D4—1221no—
1176C4×D4—1221no—
1177C4×D4—1221no—
1178C4×D4—1221no—
1179C4×D4—1221no—
1180C4×D4—1221no—
1181C4×D4—1221no—
1182C4×D4—1221no—
1183C4×D4C22×D6111yescharacteristic
1184C4×D4C22×D6111yescharacteristic
1185#117—611no—
1186#117—611no—
1187#117—611no—
1188#117—611no—
1189#117—611no—
1190#117—611no—
1191#117—611no—
1192#117—611no—
1193#117—611no—
1194#117—1221no—
1195#117—1221no—
1196#117—1221no—
1197#117—1221no—
1198#117—1221no—
1199#117—1221no—
1200#117—1221no—
1201#117—1221no—
1202#117—1221no—
1203#117—1221no—
1204#117—1221no—
1205C2×C4⋊C4—611no—
1206C2×C4⋊C4—611no—
1207C2×C4⋊C4—611no—
1208C2×C4⋊C4—1221no—
1209C2×C4⋊C4—1221no—
1210C2×C42—611no—
1211C2×C42—611no—
1212C2×C42—611no—
1213C2×C42—1221no—
1214C2×C42—1221no—
1215C2×C42—1221no—
1216#107—611no—
1217#107—611no—
1218#107—611no—
1219#107—611no—
1220#107—611no—
1221#107—611no—
1222#107—611no—
1223#107—611no—
1224#107—611no—
1225#107—611no—
1226#107—611no—
1227#107C22×D6111yescharacteristic
1228#106—611no—
1229#106—611no—
1230#106—611no—
1231#106—611no—
1232#106—611no—
1233#106—611no—
1234#106—611no—
1235#106—611no—
1236#106—611no—
1237#106—611no—
1238#106C22×D6111yescharacteristic
1239#106C22×D6111yescharacteristic
1240C4⋊C8—611no—
1241C4⋊C8—611no—
1242C4⋊C8—611no—
1243C4⋊C8—611no—
1244C4⋊C8—611no—
1245C4⋊C8—611no—
1246C4⋊C8—611no—
1247C4⋊C8C22×D6111yescharacteristic
1248C4⋊C8C22×D6111yescharacteristic
1249C4⋊C8C22×D6111yescharacteristic
1250#103—611no—
1251#103—611no—
1252#103—611no—
1253#103—611no—
1254#103—611no—
1255#103—611no—
1256#103—611no—
1257#103—611no—
1258#103—611no—
1259#103—611no—
1260#103—611no—
1261#103—611no—
1262#103—611no—
1263#103—611no—
1264#103—611no—
1265#103—611no—
1266#103C22×D6111yescharacteristic
1267#103C22×D6111yescharacteristic
1268#103C22×D6111yescharacteristic
1269#103C22×D6111yescharacteristic
1270#102—611no—
1271#102—611no—
1272#102—611no—
1273#102—611no—
1274#102—611no—
1275#102—611no—
1276#102C22×D6111yescharacteristic
1277#102C22×D6111yescharacteristic
1278#102C22×D6111yescharacteristic
1279#102C22×D6111yescharacteristic
1280#102C22×D6111yescharacteristic
1281#102C22×D6111yescharacteristic
1282C22⋊C8—611no—
1283C22⋊C8—611no—
1284C22⋊C8—611no—
1285C22⋊C8—611no—
1286C22⋊C8—611no—
1287C22⋊C8—611no—
1288#97—611no—
1289#97—611no—
1290#97C22×D6111yescharacteristic
1291#97C22×D6111yescharacteristic
1292C4×C8—611no—
1293C4×C8C22×D6111yescharacteristic
1294#41—1222no—
1295#41—1222no—
1296#41—2442no—
1297#41—2441no—
1298#41—2441no—
1299#41—2444no—
1300C2×Q8—21no—
1301C2×Q8—611no—
1302C2×Q8—611no—
1303C2×Q8—1221no—
1304C2×Q8—1221no—
1305C2×Q8—1221no—
1306C2×Q8—1221no—
1307C2×Q8—1221no—
1308C2×Q8—1221no—
1309C2×Q8—1222no—
1310C2×Q8—2441no—
1311C2×Q8—2444no—
1312C2×Q8D4×D6111yescharacteristic
1313C2×Q8C23×D6111yescharacteristic
1314C2×Q8C23×D6111yescharacteristic
1315C2×D4—21no—
1316C2×D4—21no—
1317C2×D4—611no—
1318C2×D4—611no—
1319C2×D4—611no—
1320C2×D4—1221no—
1321C2×D4—1221no—
1322C2×D4—1221no—
1323C2×D4—1221no—
1324C2×D4—1221no—
1325C2×D4—1221no—
1326C2×D4C23×D6111yescharacteristic
1327C2×D4C23×D6111yescharacteristic
1328C22×C4—21no—
1329C22×C4—21no—
1330C22×C4—611no—
1331C22×C4—611no—
1332C22×C4—611no—
1333C22×C4—611no—
1334C22×C4—611no—
1335C22×C4—611no—
1336C22×C4—611no—
1337C22×C4—611no—
1338C22×C4—611no—
1339C22×C4—1221no—
1340C22×C4—1221no—
1341C22×C4—1221no—
1342C22×C4—1221no—
1343C22×C4—1221no—
1344C22×C4—1221no—
1345C22×C4—1221no—
1346C22×C4—1221no—
1347Q16—41no—
1348Q16—1222no—
1349Q16—1222no—
1350Q16—2441no—
1351SD16—41no—
1352SD16—41no—
1353SD16—2441no—
1354SD16—2441no—
1355M16—2441no—
1356M16—2441no—
1357M16—2441no—
1358M16—2441no—
1359C2×C8—611no—
1360C2×C8—611no—
1361C2×C8—611no—
1362C2×C8—611no—
1363C2×C8—2441no—
1364C2×C8—2441no—
1365C2×C8C23×D6111yescharacteristic
1366C2×C8C23×D6111yescharacteristic
1367C2×C8C23×D6111yescharacteristic
1368C2×C8C23×D6111yescharacteristic
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—611no—
1379C4⋊C4—611no—
1380C4⋊C4—611no—
1381C4⋊C4—611no—
1382C4⋊C4—611no—
1383C4⋊C4—611no—
1384C4⋊C4—611no—
1385C4⋊C4—611no—
1386C4⋊C4—611no—
1387C4⋊C4—1221no—
1388C4⋊C4—1221no—
1389C4⋊C4—1221no—
1390C4⋊C4—1221no—
1391C4⋊C4—1221no—
1392C4⋊C4—1221no—
1393C4⋊C4—1221no—
1394C4⋊C4—1221no—
1395C4⋊C4—1221no—
1396C4⋊C4—1221no—
1397C4⋊C4—1221no—
1398C4⋊C4—1221no—
1399C4⋊C4—1221no—
1400C4⋊C4—1221no—
1401C4⋊C4—1221no—
1402C4⋊C4—1221no—
1403C4⋊C4—1221no—
1404C4⋊C4—1221no—
1405C4⋊C4—1221no—
1406C4⋊C4—1221no—
1407C4⋊C4—1221no—
1408C4⋊C4—1221no—
1409C4⋊C4—1221no—
1410C4⋊C4—1221no—
1411C4⋊C4—1221no—
1412C4⋊C4—1221no—
1413C4⋊C4—1221no—
1414C4⋊C4—1221no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4—1221no—
1421C4⋊C4D4×D6111yescharacteristic
1422C4⋊C4D4×D6111yescharacteristic
1423C4⋊C4D4×D6111yescharacteristic
1424C4⋊C4C23×D6111yescharacteristic
1425C4⋊C4C23×D6111yescharacteristic
1426C4⋊C4C23×D6111yescharacteristic
1427C4⋊C4C23×D6111yescharacteristic
1428C22⋊C4—21no—
1429C22⋊C4—21no—
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—611no—
1435C22⋊C4—611no—
1436C22⋊C4—611no—
1437C22⋊C4—611no—
1438C22⋊C4—611no—
1439C22⋊C4—611no—
1440C22⋊C4—1221no—
1441C22⋊C4—1221no—
1442C22⋊C4—1221no—
1443C22⋊C4—1221no—
1444C22⋊C4—1221no—
1445C22⋊C4—1221no—
1446C22⋊C4—1221no—
1447C22⋊C4—1221no—
1448C22⋊C4—1221no—
1449C22⋊C4—1221no—
1450C22⋊C4—1221no—
1451C22⋊C4—1221no—
1452C22⋊C4—1221no—
1453C22⋊C4—1221no—
1454C22⋊C4—1221no—
1455C22⋊C4—1221no—
1456C22⋊C4—1221no—
1457C22⋊C4—1221no—
1458C22⋊C4—1221no—
1459C22⋊C4—1221no—
1460C42—21no—
1461C42—21no—
1462C42—21no—
1463C42—21no—
1464C42—611no—
1465C42—611no—
1466C42—611no—
1467C42—611no—
1468C42—611no—
1469C42—611no—
1470C42—611no—
1471C42—1221no—
1472C42—1221no—
1473C42—1221no—
1474C42—1221no—
1475C42—1221no—
1476C42—1221no—
1477C42—1221no—
1478C42—1221no—
1479C42—1221no—
1480C42—1221no—
1481C42—1221no—
1482C42—1221no—
1483C42—1221no—
1484C42—1221no—
1485C42C23×D6111yescharacteristic
1486C42C23×D6111yescharacteristic
1487C42C23×D6111yescharacteristic
1488C23—21no—
1489C23—21no—
1490C23—611no—
1491C23—611no—
1492C23—611no—
1493Q8—21no—
1494Q8—21no—
1495Q8—21no—
1496Q8—21no—
1497Q8—41no—
1498Q8—42no—
1499Q8—612no—
1500Q8—1221no—
1501Q8—1221no—
1502Q8—1221no—
1503Q8—2442no—
1504Q8—2442no—
1505Q8—2442no—
1506Q8—2442no—
1507Q8—2442no—
1508Q8—2442no—
1509D4—21no—
1510D4—21no—
1511D4—21no—
1512D4—21no—
1513D4—42no—
1514D4—81no—
1515D4—4881no—
1516D4—4881no—
1517D4—2441no—
1518D4—2441no—
1519D4—2441no—
1520D4—2442no—
1521D4—2442no—
1522D4—2442no—
1523D4—2442no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—81no—
1531C2×C4—81no—
1532C2×C4—611no—
1533C2×C4—611no—
1534C2×C4—611no—
1535C2×C4—611no—
1536C2×C4—611no—
1537C2×C4—1222no—
1538C2×C4—1222no—
1539C2×C4—1222no—
1540C2×C4—1221no—
1541C2×C4—1221no—
1542C2×C4—1221no—
1543C2×C4—1221no—
1544C2×C4—1221no—
1545C2×C4—1221no—
1546C2×C4—1221no—
1547C2×C4—1221no—
1548C2×C4—1221no—
1549C2×C4—1221no—
1550C2×C4—1221no—
1551C2×C4—1221no—
1552C2×C4—1221no—
1553C2×C4—1221no—
1554C2×C4—4881no—
1555C2×C4—2441no—
1556C2×C4—2441no—
1557C2×C4—2441no—
1558C2×C4—2442no—
1559C2×C4—2442no—
1560C2×C4—2442no—
1561C2×C4—2442no—
1562C2×C4—2442no—
1563C2×C4—2442no—
1564C2×C4—2442no—
1565C2×C4C2×D4×D6111yescharacteristic
1566C2×C4C2×D4×D6111yescharacteristic
1567C2×C4C2×D4×D6111yescharacteristic
1568C2×C4C2×D4×D6111yescharacteristic
1569C2×C4C2×D4×D6111yescharacteristic
1570C2×C4C2×D4×D6111yescharacteristic
1571C2×C4C24×D6111yescharacteristic
1572C8—21no—
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—1221no—
1577C8—1221no—
1578C8—1221no—
1579C8—1221no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—1221no—
1587C22—1221no—
1588C22—1221no—
1589C22—1221no—
1590C22—1221no—
1591C22—1221no—
1592C22—1221no—
1593C22—1221no—
1594C22—1221no—
1595C22C22×D4×D6111yescharacteristic
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—21no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—612no—
1609C4—1221no—
1610C4—1221no—
1611C4—1221no—
1612C4—1222no—
1613C4—1221no—
1614C4—2441no—
1615C4—2441no—
1616C4—2441no—
1617C4—2441no—
1618C4—2441no—
1619C4—2441no—
1620C4—2441no—
1621C42−1+4×D6111yescharacteristic
1622C4#1684059811yescharacteristic
1623C2—81no—
1624C2—81no—
1625C2—2441no—
1626C2—2441no—
1627C2—2441no—
1628C2#2145949811yescharacteristic
1629C2#575×D6111yescharacteristic
1630C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3371C2
socleC22×C61C23×D4
prime radical#21459415C2
hypercenter#3371D61
hypocenterC61#62118
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3371

Complements

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

NH ≅ G/Ntype
1. #21459702C2semidirect
3. #21458788C2semidirect
4. #21458782C2semidirect
5. #21458581C2semidirect
6. #21458386C2semidirect
7. #21458384C2semidirect
8. #21458371C2semidirect
9. #21458369C2semidirect
10. #21458356C2semidirect
11. #21458354C2semidirect
12. #21458094C2semidirect
13. #21458086C2semidirect
14. #21457952C2semidirect
15. #21457944C2semidirect
16. #21457892C2semidirect
17. #21457884C2semidirect
18. #21457204C2semidirect
19. #21457189C2semidirect
20. #21457153C2semidirect
21. #21457045C2semidirect
22. #21457012C2semidirect
23. #21456993C2semidirect
24. #21455977C2semidirect
25. #21455947C2semidirect
26. #21455886C2semidirect
27. #21455631C2semidirect
28. #21455622C2semidirect
29. #21455604C2semidirect
30. #21454935C2semidirect
31. C61×#3371C2semidirect
813. #3371D61semidirect
1018. C61#62118semidirect

Maximal subgroups

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

subgroupindex
#214597022
#214594152
#214587882
#214587822
#214585812
#214583862
#214583842
#214583712
#214583692
#214583562
#214583542
#214580942
#214580862
#214579522
#214579442
#214578922
#214578842
#214572042
#214571892
#214571532
#214570452
#214570122
#214569932
#214559772
#214559472
#214558862
#214556312
#214556222
#214556042
#214549352
C61×#33712
#6211861