Finite Group Databasebeta

← #30575809

Subgroups — #30575809

Order 15616.

1948 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459598C211yesmaximal, characteristic, complemented
2#21459413C211yesmaximal, characteristic, complemented
3#21458737C211yesmaximal, characteristic, complemented
4#21458735C211yesmaximal, characteristic, complemented
5#21458614C211yesmaximal, characteristic, complemented
6#21458612C211yesmaximal, characteristic, complemented
7#21458401C211yesmaximal, characteristic, complemented
8#21458399C211yesmaximal, characteristic, complemented
9#21458287C211yesmaximal, characteristic, complemented
10#21458285C211yesmaximal, characteristic, complemented
11#21458283C211yesmaximal, characteristic, complemented
12#21458144C211yesmaximal, characteristic, complemented
13#21458141C211yesmaximal, characteristic, complemented
14#21457816C211yesmaximal, characteristic, complemented
15#21457812C211yesmaximal, characteristic, complemented
16#21457808C211yesmaximal, characteristic, complemented
17#21457804C211yesmaximal, characteristic, complemented
18#21457180C211yesmaximal, characteristic, complemented
19#21457174C211yesmaximal, characteristic, complemented
20#21457125C211yesmaximal, characteristic, complemented
21#21457050C211yesmaximal, characteristic, complemented
22#21457047C211yesmaximal, characteristic, complemented
23#21456938C211yesmaximal, characteristic, complemented
24#21455966C211yesmaximal, characteristic, complemented
25#21455965C211yesmaximal, characteristic, complemented
26#21455847C211yesmaximal, characteristic, complemented
27#21455632C211yesmaximal, characteristic, complemented
28#21455631C211yesmaximal, characteristic, complemented
29C2×#16840046C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic, complemented
31C61×#3345C211yesmaximal, characteristic, complemented
32C2×#14519824—21no—
33#16840496—21no—
34#16840495C2211yescharacteristic
35#16840489C2211yescharacteristic
36#16840480C2211yescharacteristic
37#16840479—21no—
38#16840461—21no—
39#16840460C2211yescharacteristic
40#16840455—21no—
41#16840430C2211yescharacteristic
42D4×Dic122C2211yescharacteristic
43#16840427C2211yescharacteristic
44#16840425—21no—
45#16840421C2211yescharacteristic
46#16840418C2211yescharacteristic
47#16840416C2211yescharacteristic
48#16840413C2211yescharacteristic
49#16840413C2211yescharacteristic
50#16840412C2211yescharacteristic
51#16840412C2211yescharacteristic
52#16840411—21no—
53#16840410—21no—
54#16840410—21no—
55#16840335—21no—
56#16840334—21no—
57#16840334—21no—
58#16840309C2211yescharacteristic
59#16840307—21no—
60#16840307C2211yescharacteristic
61#16840307C2211yescharacteristic
62#16840307C2211yescharacteristic
63C2×#14519776C2211yescharacteristic
64C2×#14519776C2211yescharacteristic
65C4⋊Q8×D61C2211yescharacteristic
66#16840297C2211yescharacteristic
67#16840295—21no—
68#16840293C2211yescharacteristic
69#16840289—21no—
70#16840230C2211yescharacteristic
71C4×#11758224—21no—
72C4×#11758224C2211yescharacteristic
73C4×#11758224C2211yescharacteristic
74C2×#14519742C2211yescharacteristic
75#16840172C2211yescharacteristic
76#16840169C2211yescharacteristic
77#16840169C2211yescharacteristic
78#16840166C2211yescharacteristic
79#16840166C2211yescharacteristic
80#16840124C2211yescharacteristic
81#16840122C2211yescharacteristic
82#16840120C2211yescharacteristic
83#16840120C2211yescharacteristic
84#16840107C2211yescharacteristic
85#16840107C2211yescharacteristic
86#16840099C2211yescharacteristic
87#16840099C2211yescharacteristic
88#16840098C2211yescharacteristic
89#16840097C2211yescharacteristic
90#16840088C2211yescharacteristic
91#16840086C2211yescharacteristic
92#16840084C2211yescharacteristic
93#16840082C2211yescharacteristic
94#16840082C2211yescharacteristic
95#16840080C2211yescharacteristic
96#16840078C2211yescharacteristic
97#16840076C2211yescharacteristic
98#16840075C2211yescharacteristic
99#16840073C2211yescharacteristic
100#16840061C2211yescharacteristic
101#16840060C2211yescharacteristic
102#16840059C2211yescharacteristic
103#16840058C2211yescharacteristic
104#16840056C2211yescharacteristic
105#16840056C2211yescharacteristic
106#16840054C2211yescharacteristic
107#16840052C2211yescharacteristic
108#16840051C2211yescharacteristic
109#16840051C2211yescharacteristic
110#16840046C2211yescharacteristic
111#16840046C2211yescharacteristic
112#16840046C2211yescharacteristic
113#16840046C2211yescharacteristic
114#16840046C2211yescharacteristic
115#16840046C2211yescharacteristic
116#16840046C2211yescharacteristic
117#16840046C2211yescharacteristic
118#16840046C2211yescharacteristic
119#16840046C2211yescharacteristic
120#16840041C2211yescharacteristic
121#16840041C2211yescharacteristic
122#16840041C2211yescharacteristic
123#16840041C2211yescharacteristic
124#16840040C2211yescharacteristic
125#16840040C2211yescharacteristic
126#16840040C2211yescharacteristic
127#16840040C2211yescharacteristic
128#16840016C2211yescharacteristic
129#16840014C2211yescharacteristic
130#16840013C2211yescharacteristic
131#16840009C2211yescharacteristic
132#16840008C2211yescharacteristic
133#16840007C2211yescharacteristic
134#16840006C2211yescharacteristic
135#16839998C2211yescharacteristic
136#16839996C2211yescharacteristic
137#16839996C2211yescharacteristic
138#16839978C2211yescharacteristic
139#16839977C2211yescharacteristic
140#16839976C2211yescharacteristic
141#16839975C2211yescharacteristic
142#16839961C2211yescharacteristic
143#16839961C2211yescharacteristic
144#16839956C2211yescharacteristic
145#16839956C2211yescharacteristic
146#16839955C2211yescharacteristic
147#16839955C2211yescharacteristic
148#16839909C2211yescharacteristic
149#16839908C2211yescharacteristic
150#16839905C2211yescharacteristic
151#16839904C2211yescharacteristic
152#16839903C2211yescharacteristic
153#16839900C2211yescharacteristic
154#16839891C2211yescharacteristic
155#16839890C2211yescharacteristic
156#16839873C2211yescharacteristic
157#16839872C2211yescharacteristic
158#16839871C2211yescharacteristic
159#16839864C2211yescharacteristic
160#16839862C2211yescharacteristic
161#16839861C2211yescharacteristic
162#16839859C2211yescharacteristic
163#16839853C2211yescharacteristic
164#16839853C2211yescharacteristic
165#16839849C2211yescharacteristic
166#16839849C2211yescharacteristic
167#16839838C2211yescharacteristic
168#16839837C2211yescharacteristic
169#16839834C2211yescharacteristic
170#16839833C2211yescharacteristic
171#16839830C2211yescharacteristic
172#16839817C2211yescharacteristic
173#16839816C2211yescharacteristic
174#16839812C2211yescharacteristic
175#16839805C2211yescharacteristic
176#16839801C2211yescharacteristic
177#16839801C2211yescharacteristic
178C2×#14519708C2211yescharacteristic
179#16839785C2211yescharacteristic
180#16839784C2211yescharacteristic
181C2×#14519706C2211yescharacteristic
182#16839764C2211yescharacteristic
183#16839761C2211yescharacteristic
184#16839760C2211yescharacteristic
185#16839760C2211yescharacteristic
186C2×#14519702C2211yescharacteristic
187C2×#14519700C2211yescharacteristic
188C61×#553C2211yescharacteristic
189C61×#547C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#482C2211yescharacteristic
192C61×#481C2211yescharacteristic
193C61×#481C2211yescharacteristic
194C61×#480C2211yescharacteristic
195C61×#478C2211yescharacteristic
196C61×#476C2211yescharacteristic
197C61×#469C2211yescharacteristic
198C61×#466C2211yescharacteristic
199C61×#442C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#428C2211yescharacteristic
202C2×#106×C61C2211yescharacteristic
203#14519824—48no—
204C2×#11758222—21no—
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758222C2311yescharacteristic
208C2×#11758224—21no—
209C2×#11758224—21no—
210C2×#11758224—21no—
211C2×#11758224—21no—
212C2×#11758224—21no—
213C2×#11758224—21no—
214C2×#11758224D411yescharacteristic
215C2×#11758224C2311yescharacteristic
216C22×Dic122—21no—
217C22×Dic122—21no—
218C22×Dic122—21no—
219C22×Dic122C2311yescharacteristic
220C2×Q8×D61—21no—
221C2×Q8×D61—21no—
222C2×#11758190C2311yescharacteristic
223C2×#11758190C2311yescharacteristic
224C2×#11758200C2311yescharacteristic
225C2×#11758200C2311yescharacteristic
226C2×D488C2311yescharacteristic
227C2×#11758199C2311yescharacteristic
228C2×#11758199C2311yescharacteristic
229C2×#11758194C2311yescharacteristic
230C2×#11758189C2311yescharacteristic
231C2×#11758189C2311yescharacteristic
232C22×#92418C2311yescharacteristic
233#14519777C2311yescharacteristic
234#14519776—21no—
235#14519776—21no—
236#14519776—21no—
237#14519776—21no—
238#14519776—21no—
239#14519776—21no—
240#14519776C2311yescharacteristic
241#14519776C2311yescharacteristic
242#14519776C2311yescharacteristic
243#14519776C2311yescharacteristic
244#14519776C2311yescharacteristic
245#14519776C2311yescharacteristic
246#14519776C2311yescharacteristic
247#14519776C2311yescharacteristic
248#14519775—21no—
249#14519773—21no—
250#14519773C2311yescharacteristic
251#14519773C2311yescharacteristic
252#14519772—21no—
253#14519772—21no—
254#14519771—21no—
255#14519770—21no—
256#14519770—21no—
257#14519768C2311yescharacteristic
258#14519767—21no—
259#14519767—21no—
260#14519765C2311yescharacteristic
261#14519764C2311yescharacteristic
262#14519763—21no—
263#14519763—21no—
264#14519763—21no—
265#14519763—21no—
266#14519763—21no—
267#14519763—21no—
268#14519763—21no—
269#14519763—21no—
270#14519762—21no—
271#14519762—21no—
272#14519762—21no—
273#14519762—21no—
274#14519761—21no—
275#14519761—21no—
276#14519760—21no—
277#14519760—21no—
278#14519760—21no—
279#14519759—21no—
280#14519759—21no—
281#14519759—21no—
282#14519758—21no—
283#14519758—21no—
284#14519758—21no—
285#14519757—21no—
286#14519757C2311yescharacteristic
287#14519756—21no—
288#14519756C2311yescharacteristic
289#14519755—21no—
290#14519755—21no—
291#14519755—21no—
292#14519755—21no—
293#14519755—21no—
294#14519754—21no—
295#14519754—21no—
296#14519754—21no—
297#14519754—21no—
298#14519754—21no—
299#14519753—21no—
300#14519752C2311yescharacteristic
301#14519752C2311yescharacteristic
302#14519751—21no—
303#14519751C2311yescharacteristic
304#14519751C2311yescharacteristic
305#14519751C2311yescharacteristic
306#14519750—21no—
307#14519750—21no—
308#14519749—21no—
309#14519749—21no—
310#14519749—21no—
311#14519749—21no—
312#14519749—21no—
313#14519749—21no—
314#14519748C2311yescharacteristic
315C4×Dic122—21no—
316C4×Dic122C2311yescharacteristic
317C4×Dic122C2311yescharacteristic
318#14519742—21no—
319#14519742—21no—
320#14519742—21no—
321#14519742D411yescharacteristic
322#14519742C2311yescharacteristic
323#14519742C2311yescharacteristic
324#14519742C2311yescharacteristic
325#14519742C2311yescharacteristic
326#14519742C2311yescharacteristic
327C4×D244C2311yescharacteristic
328D4×Dic61—21no—
329D4×Dic61—21no—
330D4×Dic61D411yescharacteristic
331D4×Dic61C2311yescharacteristic
332D4×Dic61C2311yescharacteristic
333D4×Dic61C2311yescharacteristic
334#14519739—21no—
335#14519739C2311yescharacteristic
336#14519739C2311yescharacteristic
337#14519739C2311yescharacteristic
338#14519739C2311yescharacteristic
339C4×C22⋊D61—21no—
340C4×C22⋊D61—21no—
341C4×C22⋊D61—21no—
342C4×C22⋊D61—21no—
343C4×C22⋊D61C2311yescharacteristic
344C4×C22⋊D61C2311yescharacteristic
345#14519737—21no—
346#14519737—21no—
347#14519737—21no—
348#14519737—21no—
349#14519737—21no—
350#14519737—21no—
351#14519737—21no—
352#14519737—21no—
353#14519737D411yescharacteristic
354#14519737D411yescharacteristic
355#14519735—21no—
356#14519735D411yescharacteristic
357#14519735C2311yescharacteristic
358#14519734—21no—
359#14519733—21no—
360#14519733—21no—
361#14519733D411yescharacteristic
362#14519733D411yescharacteristic
363C2×C4⋊Dic61C2311yescharacteristic
364C2×C4⋊Dic61C2311yescharacteristic
365C2×#11758196—21no—
366C2×#11758196—21no—
367C2×#11758196—21no—
368C4⋊C4×D61—21no—
369C4⋊C4×D61C2311yescharacteristic
370C4⋊C4×D61C2311yescharacteristic
371C2×C4×Dic61—21no—
372C2×C4×Dic61—21no—
373C2×C4×Dic61C2311yescharacteristic
374C2×C4×Dic61C2311yescharacteristic
375C42×D61—21no—
376C42×D61C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519711C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392C4⋊#92418C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428C22⋊#92418C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519688C2311yescharacteristic
432#14519687C2311yescharacteristic
433#14519687C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C2×#41×C61—21no—
437C2×D8×C61C2311yescharacteristic
438C2×M16×C61C2311yescharacteristic
439C22×C8×C61C2311yescharacteristic
440C4⋊Q8×C61C2311yescharacteristic
441#126×C61—21no—
442#125×C61C2311yescharacteristic
443#123×C61—21no—
444#123×C61—21no—
445#123×C61—21no—
446C22⋊Q8×C61—21no—
447#121×C61—21no—
448#121×C61C2311yescharacteristic
449#121×C61C2311yescharacteristic
450#121×C61C2311yescharacteristic
451#121×C61C2311yescharacteristic
452C4×D4×C61—21no—
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456#117×C61C2311yescharacteristic
457C2×C4⋊C4×C61C2311yescharacteristic
458C2×C4⋊C4×C61C2311yescharacteristic
459C2×C4⋊C4×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469C4⋊C8×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477C22⋊C8×C61C2311yescharacteristic
478#97×C61C2311yescharacteristic
479#41×C61—44no—
480C2×Q8×C61—21no—
481C2×D4×C61—21no—
482C2×D4×C61—21no—
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61C2×D411yescharacteristic
486C2×D4×C61C2411yescharacteristic
487C2×D4×C61C2411yescharacteristic
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C22×C4×C61C2411yescharacteristic
494C22×C4×C61C2411yescharacteristic
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⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61C2×D411yescharacteristic
506C2×C22⋊D61C2×D411yescharacteristic
507C22×Dic61—21no—
508C22×Dic61—21no—
509C22×Dic61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61C2×D411yescharacteristic
515C22×Dic61C2×D411yescharacteristic
516C22×Dic61C2×D411yescharacteristic
517C22×Dic61C2×D411yescharacteristic
518Q8×D61—44no—
519Q8×D61—44no—
520#11758224—24no—
521#11758224—22no—
522#11758224—41no—
523#11758224—44no—
524#11758224—44no—
525#11758224—44no—
526#11758224—44no—
527#11758224—44no—
528#11758224—44no—
529#11758222—22no—
530#11758222—41no—
531#11758222—44no—
532#11758222—44no—
533#11758222—44no—
534C2×D244—21no—
535C2×D244—21no—
536C2×D244C2411yescharacteristic
537C2×D244C2411yescharacteristic
538C2×C4×D61—21no—
539C2×C4×D61—21no—
540C2×C4×D61—21no—
541C2×C4×D61—21no—
542C2×C4×D61—21no—
543C2×C4×D61—21no—
544C2×C4×D61—21no—
545C2×C4×D61—21no—
546C2×C4×D61C2×D411yescharacteristic
547C2×C4×D61C2×D411yescharacteristic
548C2×C4×D61C2411yescharacteristic
549C2×Dic122—22no—
550C2×Dic122—21no—
551C2×Dic122—21no—
552C2×Dic122—21no—
553C2×Dic122—21no—
554C2×Dic122—21no—
555C2×Dic122—21no—
556C2×Dic122—21no—
557C2×Dic122—21no—
558C2×Dic122—21no—
559C2×Dic122—21no—
560C2×Dic122—41no—
561C2×Dic122—44no—
562C2×Dic122—44no—
563C2×Dic122—44no—
564C2×Dic122C2×D411yescharacteristic
565C2×Dic122C2411yescharacteristic
566C2×Dic122C2411yescharacteristic
567D8×C61—41no—
568M16×C61—41no—
569C2×C8×C61—41no—
570C2×C8×C61C2411yescharacteristic
571C2×C8×C61C2411yescharacteristic
572C2×C8×C61C2411yescharacteristic
573C2×C8×C61C2411yescharacteristic
574C4⋊C4×C61—21no—
575C4⋊C4×C61—21no—
576C4⋊C4×C61—21no—
577C4⋊C4×C61—21no—
578C4⋊C4×C61—21no—
579C4⋊C4×C61—21no—
580C4⋊C4×C61C2×D411yescharacteristic
581C4⋊C4×C61C2411yescharacteristic
582C4⋊C4×C61C2411yescharacteristic
583C4⋊C4×C61C2411yescharacteristic
584C4⋊C4×C61C2411yescharacteristic
585C4⋊C4×C61C2411yescharacteristic
586C4⋊C4×C61C2411yescharacteristic
587C22⋊C4×C61—21no—
588C22⋊C4×C61—21no—
589C22⋊C4×C61—21no—
590C22⋊C4×C61—21no—
591C22⋊C4×C61—21no—
592C22⋊C4×C61—21no—
593C22⋊C4×C61—21no—
594C22⋊C4×C61C2×D411yescharacteristic
595C22⋊C4×C61C2×D411yescharacteristic
596C42×C61—21no—
597C42×C61C2411yescharacteristic
598C22⋊Dic61—21no—
599C22⋊Dic61—21no—
600C22⋊Dic61—21no—
601C22⋊Dic61—21no—
602C22⋊Dic61—21no—
603C22⋊Dic61—21no—
604C22⋊Dic61—21no—
605C22⋊Dic61C2×D411yescharacteristic
606C22⋊Dic61C2×D411yescharacteristic
607#11758200—22no—
608#11758200—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—
625#11758198C2×D411yescharacteristic
626#11758198C2×D411yescharacteristic
627C4⋊Dic61—21no—
628C4⋊Dic61—21no—
629C4⋊Dic61—21no—
630C4⋊Dic61—21no—
631C4⋊Dic61—21no—
632C4⋊Dic61C2×D411yescharacteristic
633C4⋊Dic61C2411yescharacteristic
634C4⋊Dic61C2411yescharacteristic
635C4⋊Dic61C2411yescharacteristic
636C4⋊Dic61C2411yescharacteristic
637#11758196—21no—
638#11758196—21no—
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
659C4×Dic61—21no—
660C4×Dic61—21no—
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61—21no—
664C4×Dic61—21no—
665C4×Dic61—21no—
666C4×Dic61C2×D411yescharacteristic
667C4×Dic61C2×D411yescharacteristic
668C4×Dic61C2×D411yescharacteristic
669C4×Dic61C2×D411yescharacteristic
670C4×Dic61C2×D411yescharacteristic
671C4×Dic61C2×D411yescharacteristic
672C4×Dic61C2411yescharacteristic
673C4×Dic61C2411yescharacteristic
674C4×Dic61C2411yescharacteristic
675#11758194—41no—
676C2×#92418—41no—
677C2×#92418C2411yescharacteristic
678C2×#92418C2411yescharacteristic
679C2×#92418C2411yescharacteristic
680C2×#92418C2411yescharacteristic
681D488—41no—
682#11758190—22no—
683#11758190—41no—
684#11758189—41no—
685#11758189—41no—
686C23×C61—21no—
687C23×C61—21no—
688C23×C61C22×D411yescharacteristic
689C23×C61C22×D411yescharacteristic
690C22×D61—21no—
691C22×D61—21no—
692C22×D61C22×D411yescharacteristic
693Q8×C61—42no—
694D4×C61—22no—
695D4×C61—21no—
696D4×C61—21no—
697D4×C61—21no—
698D4×C61—21no—
699D4×C61—42no—
700D4×C61—42no—
701D4×C61—42no—
702D4×C61—81no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—42no—
714C2×C4×C61—42no—
715C2×C4×C61—42no—
716C2×C4×C61—81no—
717C2×C4×C61—81no—
718C2×C4×C61C22×D411yescharacteristic
719C2×C4×C61C22×D411yescharacteristic
720C2×C4×C61C22×D411yescharacteristic
721C2×C4×C61C22×D411yescharacteristic
722C2×C4×C61C2511yescharacteristic
723C22⋊D61—22no—
724C22⋊D61—22no—
725C22⋊D61—42no—
726C22⋊D61—42no—
727C22⋊D61—42no—
728C22⋊D61—42no—
729C22⋊D61—42no—
730C22⋊D61—42no—
731C22⋊D61—42no—
732C22⋊D61—42no—
733C22⋊D61—42no—
734C22⋊D61—81no—
735C2×Dic61—21no—
736C2×Dic61—22no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—41no—
743C2×Dic61—41no—
744C2×Dic61—42no—
745C2×Dic61—42no—
746C2×Dic61—42no—
747C2×Dic61—42no—
748C2×Dic61—42no—
749C2×Dic61—42no—
750C2×Dic61—42no—
751C2×Dic61AGL(1,ℤ/8)14yes—
752C2×Dic61C22×D411yescharacteristic
753C2×Dic61C22×D411yescharacteristic
754C2×Dic61C22×D411yescharacteristic
755C2×Dic61C22×D411yescharacteristic
756C2×Dic61C22×D411yescharacteristic
757C2×Dic61C22×D411yescharacteristic
758C2×Dic61C22×D411yescharacteristic
759D244—21no—
760D244—21no—
761D244—21no—
762D244—21no—
763D244—42no—
764D244—81no—
765C4×D61—21no—
766C4×D61—21no—
767C4×D61—22no—
768C4×D61—41no—
769C4×D61—42no—
770C4×D61—42no—
771C4×D61—42no—
772C4×D61—42no—
773C4×D61—42no—
774C4×D61—42no—
775C4×D61—42no—
776C4×D61—81no—
777Dic122—21no—
778Dic122—22no—
779Dic122—21no—
780Dic122—21no—
781Dic122—42no—
782Dic122—42no—
783Dic122—42no—
784Dic122—42no—
785Dic122—42no—
786Dic122—42no—
787Dic122—42no—
788Dic122—42no—
789Dic122—42no—
790Dic122—42no—
791Dic1222−1+412yescomplemented
792C8×C61—21no—
793C8×C61—21no—
794C8×C61—21no—
795C8×C61—21no—
796#92418—21no—
797#92418—21no—
798#92418—21no—
799#92418—21no—
800#62111—611nomaximal, Sylow
801C22×C61—21no—
802C22×C61—21no—
803C22×C61—21no—
804C22×C61—21no—
805C22×C61—21no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61C2×AGL(1,ℤ/8)12yes—
813C22×C61C23×D411yescharacteristic
814C2×D61—21no—
815C2×D61—21no—
816C2×D61—21no—
817C2×D61—41no—
818C2×D61—41no—
819C2×D61—41no—
820C2×D61—41no—
821C2×D61—41no—
822C2×D61—41no—
823C4×C61—21no—
824C4×C61—21no—
825C4×C61—21no—
826C4×C61—21no—
827C4×C61—41no—
828C4×C61—41no—
829C4×C61—41no—
830C4×C61—41no—
831C4×C61—41no—
832C4×C61—41no—
833C4×C61C2×2−1+411yescharacteristic
834C4×C61#58511yescharacteristic
835Dic61—21no—
836Dic61—21no—
837Dic61—21no—
838Dic61—22no—
839Dic61—21no—
840Dic61—21no—
841Dic61—41no—
842Dic61—41no—
843Dic61—41no—
844Dic61—41no—
845Dic61—41no—
846Dic61C2×AGL(1,ℤ/8)12yes—
847Dic61C2×AGL(1,ℤ/8)12yes—
848#3499—611no—
849#3480—611no—
850#3386—611no—
851#3386—611no—
852#3373—611no—
853#3373—611no—
854#3353—611no—
855#3353—611no—
856#3345—611no—
857#3345—611no—
858#3345—611no—
859#3345D6111yescharacteristic, complemented
860#3332—611no—
861#3332—611no—
862#3308—611no—
863#3308—611no—
864#3308—611no—
865#3308—611no—
866#3251—611no—
867#3251—611no—
868#3245—611no—
869#3239—611no—
870#3239—611no—
871#3226—611no—
872#3115—611no—
873#3115—611no—
874#3103—611no—
875#3079—611no—
876#3079—611no—
877C2×#475—611no—
878#2989—611no—
879C2×C61—22no—
880C2×C61—41no—
881C2×C61—81no—
882C2×C61—81no—
883C2×C61#348911yescharacteristic
884C2×C61C22×AGL(1,ℤ/8)11yescharacteristic
885C2×C61#358611yescharacteristic
886D61—41no—
887D61—81no—
888D61—81no—
889C2×2−1+4—1221no—
890#559—611no—
891#559—1221no—
892#557—611no—
893#556—611no—
894#556—1221no—
895#553—611no—
896#553—1221no—
897#553—1221no—
898#553C2×D6111yescharacteristic
899#550—611no—
900D4×Q8—611no—
901D4×Q8—611no—
902D4×Q8—1221no—
903#548—611no—
904#548—611no—
905#547—611no—
906#547—611no—
907#547—611no—
908#547—611no—
909#547—611no—
910#547—1221no—
911#547—1221no—
912#547—1221no—
913#547C2×D6111yescharacteristic
914#536—1221no—
915#536—1221no—
916#536—1221no—
917#532—611no—
918#532—611no—
919#532—611no—
920#532—611no—
921#532—1221no—
922C2×C4⋊Q8—611no—
923C2×C4⋊Q8—611no—
924C2×C4⋊Q8—611no—
925#529—611no—
926#529—611no—
927#529—1221no—
928#529—1221no—
929C4×#41—611no—
930C4×#41—611no—
931C4×#41—611no—
932C4×#41—1221no—
933C2×C4×Q8—611no—
934#501—611no—
935#501—611no—
936#501—611no—
937#501C2×D6111yescharacteristic
938#500—611no—
939#500—611no—
940#489—611no—
941#489—611no—
942#489—611no—
943#489—611no—
944#486—611no—
945#486—611no—
946#484—611no—
947#484—611no—
948#484—611no—
949#484—611no—
950#482—611no—
951#482—611no—
952#482—611no—
953#482C2×D6111yescharacteristic
954#481—611no—
955#481—611no—
956#481—611no—
957#481—611no—
958#481C2×D6111yescharacteristic
959#481C2×D6111yescharacteristic
960#480—611no—
961#480—611no—
962#480—611no—
963#480C2×D6111yescharacteristic
964#478—611no—
965#478—611no—
966#478—611no—
967#478C2×D6111yescharacteristic
968#477—611no—
969#477—611no—
970#477—611no—
971#477—611no—
972#476—611no—
973#476—611no—
974#476—611no—
975#476C2×D6111yescharacteristic
976#475—611no—
977#475—611no—
978#475—611no—
979#475—611no—
980#475—611no—
981#475—611no—
982#475—611no—
983#475—611no—
984#475—611no—
985#475—611no—
986#474—611no—
987#474—611no—
988#474—611no—
989#474—611no—
990#474—611no—
991#474—611no—
992#474—611no—
993#474—611no—
994#469—611no—
995#469—611no—
996#469—611no—
997#469C2×D6111yescharacteristic
998#468—611no—
999#468—611no—
1000#468—611no—
1001#468—611no—
1002#466—611no—
1003#466—611no—
1004#466—611no—
1005#466C2×D6111yescharacteristic
1006#463—611no—
1007#463—611no—
1008#463—611no—
1009#463—611no—
1010#460—611no—
1011#460—611no—
1012#459—611no—
1013#459—611no—
1014#459—611no—
1015#459—611no—
1016#449—611no—
1017#449—611no—
1018#449—611no—
1019#449—611no—
1020#448—611no—
1021#448—611no—
1022#446—611no—
1023#446—611no—
1024#442—611no—
1025#442—611no—
1026#442—611no—
1027#442C2×D6111yescharacteristic
1028#440—611no—
1029#440—611no—
1030#440—611no—
1031#440—611no—
1032C4×SD16—611no—
1033C4×SD16—611no—
1034C4×SD16—611no—
1035C4×SD16—611no—
1036#436—611no—
1037#436—611no—
1038#435—611no—
1039#435—611no—
1040#435—611no—
1041#435C2×D6111yescharacteristic
1042#432—611no—
1043#432—611no—
1044#431—611no—
1045#428—611no—
1046#428—611no—
1047#428—611no—
1048#428C2×D6111yescharacteristic
1049C2×#106—611no—
1050C2×#106C2×D6111yescharacteristic
1051#423—611no—
1052#423—611no—
1053C2×C4⋊C8—611no—
1054#417—611no—
1055#417—611no—
1056#417—611no—
1057#417—611no—
1058C2×#103—611no—
1059C2×#103—611no—
1060C61#6211111yescharacteristic, complemented, Sylow
10612−1+4—2448no—
1062C2×#41—21no—
1063C2×#41—611no—
1064C2×#41—611no—
1065C2×#41—611no—
1066C2×#41—1221no—
1067C2×#41—1221no—
1068C2×#41—1221no—
1069C2×#41—1221no—
1070C2×#41—1221no—
1071C2×#41—1221no—
1072C2×#41—1221no—
1073C2×#41—1221no—
1074C2×#41—1221no—
1075C22×Q8—611no—
1076C22×Q8—1221no—
1077C22×Q8—1221no—
1078C22×Q8—1221no—
1079C22×Q8—1221no—
1080C22×Q8—1221no—
1081C2×SD16—611no—
1082C2×SD16—611no—
1083C2×SD16—611no—
1084C2×SD16—611no—
1085C2×D8—611no—
1086C2×D8—611no—
1087C2×D8—611no—
1088C2×D8C22×D6111yescharacteristic
1089C2×M16—611no—
1090C2×M16—611no—
1091C2×M16—611no—
1092C2×M16C22×D6111yescharacteristic
1093C22×C8—611no—
1094C22×C8C22×D6111yescharacteristic
1095C4⋊Q8—611no—
1096C4⋊Q8—611no—
1097C4⋊Q8—611no—
1098C4⋊Q8—611no—
1099C4⋊Q8—611no—
1100C4⋊Q8—611no—
1101C4⋊Q8—611no—
1102C4⋊Q8—611no—
1103C4⋊Q8—611no—
1104C4⋊Q8—1221no—
1105C4⋊Q8—1221no—
1106C4⋊Q8—1221no—
1107C4⋊Q8—1221no—
1108C4⋊Q8—1221no—
1109C4⋊Q8—1221no—
1110C4⋊Q8—1221no—
1111C4⋊Q8C22×D6111yescharacteristic
1112#127—611no—
1113#127—611no—
1114#127—1221no—
1115#126—21no—
1116#126—1221no—
1117#126—1221no—
1118#126—1221no—
1119#126—1221no—
1120#126—1221no—
1121#125—611no—
1122#125—1221no—
1123#125—1221no—
1124#125C22×D6111yescharacteristic
1125#124—611no—
1126#124—611no—
1127#124—1221no—
1128#124—1221no—
1129#124—1221no—
1130#124—1221no—
1131#124—1221no—
1132#124—1221no—
1133#124—1221no—
1134#124—1221no—
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—1221no—
1139#123—1221no—
1140#123—1221no—
1141#123—1221no—
1142#123—1221no—
1143#123—1221no—
1144#123—1221no—
1145#123—1221no—
1146#123—1221no—
1147#123—1221no—
1148#123—1221no—
1149#123—1221no—
1150#123—1221no—
1151#123—1221no—
1152#123—1221no—
1153C22⋊Q8—21no—
1154C22⋊Q8—611no—
1155C22⋊Q8—611no—
1156C22⋊Q8—1221no—
1157C22⋊Q8—1221no—
1158C22⋊Q8—1221no—
1159C22⋊Q8—1221no—
1160C22⋊Q8—1221no—
1161C22⋊Q8—1221no—
1162C22⋊Q8—1221no—
1163C22⋊Q8—1221no—
1164C22⋊Q8—1221no—
1165C22⋊Q8—1221no—
1166C22⋊Q8—1221no—
1167C22⋊Q8—1221no—
1168C22⋊Q8—1221no—
1169#121—21no—
1170#121—611no—
1171#121—611no—
1172#121—611no—
1173#121—611no—
1174#121—611no—
1175#121—611no—
1176#121—1221no—
1177#121—1221no—
1178#121—1221no—
1179#121—1221no—
1180#121—1221no—
1181#121—1221no—
1182#121—1221no—
1183#121—1221no—
1184#121—1221no—
1185#121C22×D6111yescharacteristic
1186#121C22×D6111yescharacteristic
1187#121C22×D6111yescharacteristic
1188#121C22×D6111yescharacteristic
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—1221no—
1198C4×Q8—1221no—
1199C4×Q8—1221no—
1200C4×Q8—1221no—
1201C4×D4—21no—
1202C4×D4—611no—
1203C4×D4—611no—
1204C4×D4—611no—
1205C4×D4—611no—
1206C4×D4—611no—
1207C4×D4—611no—
1208C4×D4—611no—
1209C4×D4—611no—
1210C4×D4—611no—
1211C4×D4—611no—
1212C4×D4—611no—
1213C4×D4—611no—
1214C4×D4—611no—
1215C4×D4—1221no—
1216C4×D4—1221no—
1217C4×D4—1221no—
1218C4×D4—1221no—
1219C4×D4—1221no—
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×D4C22×D6111yescharacteristic
1231C4×D4C22×D6111yescharacteristic
1232C4×D4C22×D6111yescharacteristic
1233#117—611no—
1234#117—611no—
1235#117—611no—
1236#117—611no—
1237#117—1221no—
1238#117—1221no—
1239#117—1221no—
1240#117—1221no—
1241#117C22×D6111yescharacteristic
1242C2×C4⋊C4—611no—
1243C2×C4⋊C4—611no—
1244C2×C4⋊C4—611no—
1245C2×C4⋊C4—611no—
1246C2×C4⋊C4—1221no—
1247C2×C4⋊C4—1221no—
1248C2×C4⋊C4—1221no—
1249C2×C4⋊C4—1221no—
1250C2×C4⋊C4C22×D6111yescharacteristic
1251C2×C4⋊C4C22×D6111yescharacteristic
1252C2×C4⋊C4C22×D6111yescharacteristic
1253C2×C42—611no—
1254C2×C42—611no—
1255C2×C42—611no—
1256C2×C42—1221no—
1257C2×C42—1221no—
1258C2×C42—1221no—
1259#107—611no—
1260#107—611no—
1261#107—611no—
1262#107—611no—
1263#107—611no—
1264#107—611no—
1265#107—611no—
1266#107—611no—
1267#107—611no—
1268#107C22×D6111yescharacteristic
1269#107C22×D6111yescharacteristic
1270#107C22×D6111yescharacteristic
1271#106—611no—
1272#106—611no—
1273#106—611no—
1274#106—611no—
1275#106—611no—
1276#106—611no—
1277#106C22×D6111yescharacteristic
1278#106C22×D6111yescharacteristic
1279#106C22×D6111yescharacteristic
1280#106C22×D6111yescharacteristic
1281#106C22×D6111yescharacteristic
1282#106C22×D6111yescharacteristic
1283C4⋊C8—611no—
1284C4⋊C8—611no—
1285C4⋊C8—611no—
1286C4⋊C8—611no—
1287C4⋊C8—611no—
1288C4⋊C8—611no—
1289C4⋊C8—611no—
1290C4⋊C8—611no—
1291C4⋊C8—611no—
1292C4⋊C8C22×D6111yescharacteristic
1293#103—611no—
1294#103—611no—
1295#103—611no—
1296#103—611no—
1297#103—611no—
1298#103—611no—
1299#103—611no—
1300#103—611no—
1301#103—611no—
1302#103—611no—
1303#103—611no—
1304#103—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#102—611no—
1314#102—611no—
1315#102—611no—
1316#102—611no—
1317#102—611no—
1318#102—611no—
1319#102C22×D6111yescharacteristic
1320#102C22×D6111yescharacteristic
1321#102C22×D6111yescharacteristic
1322#102C22×D6111yescharacteristic
1323#102C22×D6111yescharacteristic
1324#102C22×D6111yescharacteristic
1325C22⋊C8—611no—
1326C22⋊C8—611no—
1327C22⋊C8—611no—
1328C22⋊C8—611no—
1329C22⋊C8C22×D6111yescharacteristic
1330C22⋊C8C22×D6111yescharacteristic
1331#97—611no—
1332#97—611no—
1333#97—611no—
1334#97C22×D6111yescharacteristic
1335C4×C8—611no—
1336C4×C8—611no—
1337#41—44no—
1338#41—1222no—
1339#41—1224no—
1340#41—1222no—
1341#41—2441no—
1342#41—2444no—
1343#41—2444no—
1344#41—2444no—
1345#41—2444no—
1346#41—2444no—
1347#41—2441no—
1348#41—2444no—
1349#41—2444no—
1350#41—2444no—
1351#41—2444no—
1352C2×Q8—21no—
1353C2×Q8—611no—
1354C2×Q8—611no—
1355C2×Q8—611no—
1356C2×Q8—1221no—
1357C2×Q8—1221no—
1358C2×Q8—1221no—
1359C2×Q8—1221no—
1360C2×Q8—1221no—
1361C2×Q8—1221no—
1362C2×Q8—1221no—
1363C2×Q8—1221no—
1364C2×Q8—1222no—
1365C2×Q8—1221no—
1366C2×Q8—1221no—
1367C2×Q8—2441no—
1368C2×Q8—2444no—
1369C2×Q8—2444no—
1370C2×Q8—2444no—
1371C2×Q8—2444no—
1372C2×Q8—2444no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—611no—
1378C2×D4—611no—
1379C2×D4—611no—
1380C2×D4—611no—
1381C2×D4—1221no—
1382C2×D4—1221no—
1383C2×D4—1221no—
1384C2×D4—1221no—
1385C2×D4—1221no—
1386C2×D4—1221no—
1387C2×D4—1221no—
1388C2×D4—1221no—
1389C2×D4—1221no—
1390C2×D4—1221no—
1391C2×D4—1221no—
1392C2×D4—1221no—
1393C2×D4D4×D6111yescharacteristic
1394C2×D4C23×D6111yescharacteristic
1395C2×D4C23×D6111yescharacteristic
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—611no—
1402C22×C4—611no—
1403C22×C4—611no—
1404C22×C4—611no—
1405C22×C4—611no—
1406C22×C4—611no—
1407C22×C4—611no—
1408C22×C4—1221no—
1409C22×C4—1221no—
1410C22×C4—1221no—
1411C22×C4—1221no—
1412C22×C4—1221no—
1413C22×C4—1221no—
1414C22×C4—1221no—
1415C22×C4—1221no—
1416C22×C4—1221no—
1417C22×C4—1221no—
1418C22×C4—1221no—
1419C22×C4—1221no—
1420C22×C4—1221no—
1421C22×C4—1221no—
1422C22×C4—1221no—
1423C22×C4C23×D6111yescharacteristic
1424C22×C4C23×D6111yescharacteristic
1425SD16—1222no—
1426SD16—1222no—
1427SD16—2441no—
1428SD16—2441no—
1429D8—41no—
1430D8—2441no—
1431D8—2441no—
1432D8—2441no—
1433M16—41no—
1434M16—2441no—
1435M16—2441no—
1436M16—2441no—
1437C2×C8—41no—
1438C2×C8—611no—
1439C2×C8—611no—
1440C2×C8—611no—
1441C2×C8—611no—
1442C2×C8—2441no—
1443C2×C8C23×D6111yescharacteristic
1444C2×C8C23×D6111yescharacteristic
1445C2×C8C23×D6111yescharacteristic
1446C2×C8C23×D6111yescharacteristic
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—611no—
1454C4⋊C4—611no—
1455C4⋊C4—611no—
1456C4⋊C4—611no—
1457C4⋊C4—611no—
1458C4⋊C4—611no—
1459C4⋊C4—611no—
1460C4⋊C4—611no—
1461C4⋊C4—611no—
1462C4⋊C4—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⋊C4—1221no—
1472C4⋊C4—1221no—
1473C4⋊C4—1221no—
1474C4⋊C4—1221no—
1475C4⋊C4—1221no—
1476C4⋊C4—1221no—
1477C4⋊C4—1221no—
1478C4⋊C4—1221no—
1479C4⋊C4—1221no—
1480C4⋊C4—1221no—
1481C4⋊C4—1221no—
1482C4⋊C4—1221no—
1483C4⋊C4—1221no—
1484C4⋊C4—1221no—
1485C4⋊C4D4×D6111yescharacteristic
1486C4⋊C4C23×D6111yescharacteristic
1487C4⋊C4C23×D6111yescharacteristic
1488C4⋊C4C23×D6111yescharacteristic
1489C4⋊C4C23×D6111yescharacteristic
1490C4⋊C4C23×D6111yescharacteristic
1491C4⋊C4C23×D6111yescharacteristic
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—611no—
1500C22⋊C4—611no—
1501C22⋊C4—611no—
1502C22⋊C4—611no—
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—
1518C22⋊C4—1221no—
1519C22⋊C4—1221no—
1520C22⋊C4—1221no—
1521C22⋊C4—1221no—
1522C22⋊C4—1221no—
1523C22⋊C4—1221no—
1524C22⋊C4D4×D6111yescharacteristic
1525C22⋊C4D4×D6111yescharacteristic
1526C42—21no—
1527C42—611no—
1528C42—611no—
1529C42—611no—
1530C42—611no—
1531C42—611no—
1532C42—611no—
1533C42—611no—
1534C42—611no—
1535C42—611no—
1536C42—1221no—
1537C42—1221no—
1538C42—1221no—
1539C42—1221no—
1540C42—1221no—
1541C42—1221no—
1542C42—1221no—
1543C42C23×D6111yescharacteristic
1544C23—21no—
1545C23—21no—
1546C23—611no—
1547C23—1221no—
1548C23—1221no—
1549C23C2×D4×D6111yescharacteristic
1550C23C2×D4×D6111yescharacteristic
1551Q8—42no—
1552Q8—612no—
1553Q8—1222no—
1554Q8—1221no—
1555Q8—1221no—
1556Q8—1221no—
1557Q8—2442no—
1558Q8—2442no—
1559Q8—2442no—
1560Q8—2442no—
1561Q8—2442no—
1562Q8—2442no—
1563Q8—2442no—
1564Q8—2442no—
1565Q8—2442no—
1566Q8—2442no—
1567D4—22no—
1568D4—21no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—42no—
1573D4—42no—
1574D4—42no—
1575D4—81no—
1576D4—1222no—
1577D4—1222no—
1578D4—1221no—
1579D4—1221no—
1580D4—1221no—
1581D4—1221no—
1582D4—4881no—
1583D4—4881no—
1584D4—2442no—
1585D4—2442no—
1586D4—2442no—
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—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—42no—
1605C2×C4—42no—
1606C2×C4—42no—
1607C2×C4—81no—
1608C2×C4—81no—
1609C2×C4—614no—
1610C2×C4—611no—
1611C2×C4—611no—
1612C2×C4—611no—
1613C2×C4—611no—
1614C2×C4—611no—
1615C2×C4—611no—
1616C2×C4—611no—
1617C2×C4—1222no—
1618C2×C4—1222no—
1619C2×C4—1221no—
1620C2×C4—1221no—
1621C2×C4—1221no—
1622C2×C4—1221no—
1623C2×C4—1221no—
1624C2×C4—1221no—
1625C2×C4—1221no—
1626C2×C4—1221no—
1627C2×C4—4881no—
1628C2×C4—2441no—
1629C2×C4—2442no—
1630C2×C4—2442no—
1631C2×C4—2442no—
1632C2×C4—2442no—
1633C2×C4—2442no—
1634C2×C4—2442no—
1635C2×C4—2442no—
1636C2×C4—2442no—
1637C2×C4—2442no—
1638C2×C4—2441no—
1639C2×C4—2441no—
1640C2×C4—2442no—
1641C2×C4—2442no—
1642C2×C4—2442no—
1643C2×C4—2442no—
1644C2×C4—2442no—
1645C2×C4C2×D4×D6111yescharacteristic
1646C2×C4C2×D4×D6111yescharacteristic
1647C2×C4C2×D4×D6111yescharacteristic
1648C2×C4C2×D4×D6111yescharacteristic
1649C2×C4C24×D6111yescharacteristic
1650C8—21no—
1651C8—21no—
1652C8—21no—
1653C8—21no—
1654C8—1221no—
1655C8—1221no—
1656C8—1221no—
1657C8—1221no—
1658C22—21no—
1659C22—21no—
1660C22—21no—
1661C22—21no—
1662C22—21no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—1221no—
1670C22—1221no—
1671C22—1221no—
1672C22—2441no—
1673C22—2441no—
1674C22—2441no—
1675C22—2441no—
1676C22—2441no—
1677C22—2441no—
1678C22AGL(1,ℤ/8)×D6112yes—
1679C22C22×D4×D6111yescharacteristic
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—612no—
1691C4—612no—
1692C4—1221no—
1693C4—1222no—
1694C4—1221no—
1695C4—1221no—
1696C4—1221no—
1697C4—1221no—
1698C4—2441no—
1699C4—2441no—
1700C4—2441no—
1701C4—2441no—
1702C4—2441no—
1703C42−1+4×D6111yescharacteristic
1704C4#1684059811yescharacteristic
1705C2—22no—
1706C2—41no—
1707C2—81no—
1708C2—81no—
1709C2—4881no—
1710C2—4881no—
1711C2—2441no—
1712C2#2145949311yescharacteristic
1713C2C2×AGL(1,ℤ/8)×D6111yescharacteristic
1714C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3345C2
socleC22×C61C23×D4
hypercenter#3345D61
hypocenterC61#62111
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3345

Complements

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

NH ≅ G/Ntype
1. #21459598C2semidirect
2. #21459413C2semidirect
3. #21458737C2semidirect
4. #21458735C2semidirect
5. #21458614C2semidirect
6. #21458612C2semidirect
7. #21458401C2semidirect
8. #21458399C2semidirect
9. #21458287C2semidirect
10. #21458285C2semidirect
11. #21458283C2semidirect
12. #21458144C2semidirect
13. #21458141C2semidirect
14. #21457816C2semidirect
15. #21457812C2semidirect
16. #21457808C2semidirect
17. #21457804C2semidirect
18. #21457180C2semidirect
19. #21457174C2semidirect
20. #21457125C2semidirect
21. #21457050C2semidirect
22. #21457047C2semidirect
23. #21456938C2semidirect
24. #21455966C2semidirect
25. #21455965C2semidirect
26. #21455847C2semidirect
27. #21455632C2semidirect
28. #21455631C2semidirect
29. C2×#16840046C2semidirect
30. #21454931C2semidirect
31. C61×#3345C2semidirect
791. Dic1222−1+4semidirect
859. #3345D61semidirect
1060. C61#62111semidirect

Maximal subgroups

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

subgroupindex
#214595982
#214594132
#214587372
#214587352
#214586142
#214586122
#214584012
#214583992
#214582872
#214582852
#214582832
#214581442
#214581412
#214578162
#214578122
#214578082
#214578042
#214571802
#214571742
#214571252
#214570502
#214570472
#214569382
#214559662
#214559652
#214558472
#214556322
#214556312
C2×#168400462
#214549312
C61×#33452
#6211161