Finite Group Databasebeta

← #30575826

Subgroups — #30575826

Order 15616.

1740 conjugacy classes of subgroups.

The subgroup lattice has 1652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459633C211yesmaximal, characteristic, complemented
2#21459413C211yesmaximal, characteristic
3#21458754C211yesmaximal, characteristic, complemented
4#21458748C211yesmaximal, characteristic, complemented
5#21458636C211yesmaximal, characteristic, complemented
6#21458634C211yesmaximal, characteristic, complemented
7#21458432C211yesmaximal, characteristic, complemented
8#21458430C211yesmaximal, characteristic, complemented
9#21458308C211yesmaximal, characteristic, complemented
10#21458304C211yesmaximal, characteristic, complemented
11#21458300C211yesmaximal, characteristic, complemented
12#21458155C211yesmaximal, characteristic, complemented
13#21458152C211yesmaximal, characteristic, complemented
14#21457936C211yesmaximal, characteristic, complemented
15#21457932C211yesmaximal, characteristic, complemented
16#21457928C211yesmaximal, characteristic, complemented
17#21457924C211yesmaximal, characteristic, complemented
18#21457191C211yesmaximal, characteristic, complemented
19#21457185C211yesmaximal, characteristic, complemented
20#21457130C211yesmaximal, characteristic, complemented
21#21457041C211yesmaximal, characteristic, complemented
22#21457038C211yesmaximal, characteristic, complemented
23#21456945C211yesmaximal, characteristic, complemented
24#21455977C211yesmaximal, characteristic, complemented
25#21455976C211yesmaximal, characteristic, complemented
26#21455855C211yesmaximal, characteristic, complemented
27#21455632C211yesmaximal, characteristic, complemented
28#21455627C211yesmaximal, characteristic, complemented
29C2×#16840056C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic, complemented
31C61×#3346C211yesmaximal, characteristic, complemented
32#16840496—21no—
33#16840495C2211yescharacteristic
34Q8×Dic122C2211yescharacteristic
35#16840492C2211yescharacteristic
36#16840489—21no—
37#16840489C2211yescharacteristic
38#16840480C2211yescharacteristic
39#16840479—21no—
40#16840470C2211yescharacteristic
41#16840470C2211yescharacteristic
42#16840469C2211yescharacteristic
43#16840467C2211yescharacteristic
44#16840467C2211yescharacteristic
45#16840461—21no—
46#16840460C2211yescharacteristic
47#16840455—21no—
48#16840430C2211yescharacteristic
49D4×Dic122—21no—
50#16840425—21no—
51#16840425—21no—
52#16840421C2211yescharacteristic
53#16840418C2211yescharacteristic
54#16840392—21no—
55#16840391—21no—
56#16840391—21no—
57#16840316C2211yescharacteristic
58#16840314C2211yescharacteristic
59#16840314C2211yescharacteristic
60#16840307—21no—
61#16840307C2211yescharacteristic
62C2×#14519776C2211yescharacteristic
63C2×#14519776C2211yescharacteristic
64C4⋊Q8×D61C2211yescharacteristic
65#16840297C2211yescharacteristic
66#16840295—21no—
67#16840293C2211yescharacteristic
68#16840289—21no—
69#16840241—21no—
70#16840230C2211yescharacteristic
71C4×#11758224—21no—
72C4×#11758224C2211yescharacteristic
73C4×#11758224C2211yescharacteristic
74C2×#14519742C2211yescharacteristic
75#16840172C2211yescharacteristic
76#16840170C2211yescharacteristic
77#16840170C2211yescharacteristic
78#16840159C2211yescharacteristic
79#16840159C2211yescharacteristic
80#16840124C2211yescharacteristic
81#16840122C2211yescharacteristic
82#16840120C2211yescharacteristic
83#16840120C2211yescharacteristic
84#16840107C2211yescharacteristic
85#16840107C2211yescharacteristic
86#16840105C2211yescharacteristic
87#16840103C2211yescharacteristic
88#16840101C2211yescharacteristic
89#16840097C2211yescharacteristic
90#16840094C2211yescharacteristic
91#16840094C2211yescharacteristic
92#16840093C2211yescharacteristic
93#16840092C2211yescharacteristic
94#16840081C2211yescharacteristic
95#16840080C2211yescharacteristic
96#16840078C2211yescharacteristic
97#16840077C2211yescharacteristic
98#16840077C2211yescharacteristic
99#16840073C2211yescharacteristic
100#16840068C2211yescharacteristic
101#16840067C2211yescharacteristic
102#16840066C2211yescharacteristic
103#16840056C2211yescharacteristic
104#16840056C2211yescharacteristic
105#16840056C2211yescharacteristic
106#16840056C2211yescharacteristic
107#16840056C2211yescharacteristic
108#16840056C2211yescharacteristic
109#16840056C2211yescharacteristic
110#16840056C2211yescharacteristic
111#16840056C2211yescharacteristic
112#16840056C2211yescharacteristic
113#16840051C2211yescharacteristic
114#16840051C2211yescharacteristic
115#16840051C2211yescharacteristic
116#16840050C2211yescharacteristic
117#16840050C2211yescharacteristic
118#16840050C2211yescharacteristic
119#16840048C2211yescharacteristic
120#16840046C2211yescharacteristic
121#16840046C2211yescharacteristic
122#16840046C2211yescharacteristic
123#16840045C2211yescharacteristic
124#16840044C2211yescharacteristic
125#16840042C2211yescharacteristic
126#16840041C2211yescharacteristic
127#16840041C2211yescharacteristic
128#16840021C2211yescharacteristic
129#16840020C2211yescharacteristic
130#16840019C2211yescharacteristic
131#16840018C2211yescharacteristic
132#16840011C2211yescharacteristic
133#16840009C2211yescharacteristic
134#16840006C2211yescharacteristic
135#16839993C2211yescharacteristic
136#16839991C2211yescharacteristic
137#16839989C2211yescharacteristic
138#16839985C2211yescharacteristic
139#16839984C2211yescharacteristic
140#16839983C2211yescharacteristic
141#16839982C2211yescharacteristic
142#16839971C2211yescharacteristic
143#16839971C2211yescharacteristic
144#16839966C2211yescharacteristic
145#16839965C2211yescharacteristic
146#16839961C2211yescharacteristic
147#16839960C2211yescharacteristic
148#16839926C2211yescharacteristic
149#16839925C2211yescharacteristic
150#16839922C2211yescharacteristic
151#16839921C2211yescharacteristic
152#16839920C2211yescharacteristic
153#16839917C2211yescharacteristic
154#16839891C2211yescharacteristic
155#16839890C2211yescharacteristic
156#16839870C2211yescharacteristic
157#16839868C2211yescharacteristic
158#16839867C2211yescharacteristic
159#16839866C2211yescharacteristic
160#16839865C2211yescharacteristic
161#16839862C2211yescharacteristic
162#16839861C2211yescharacteristic
163#16839856C2211yescharacteristic
164#16839856C2211yescharacteristic
165#16839854C2211yescharacteristic
166#16839854C2211yescharacteristic
167#16839838C2211yescharacteristic
168#16839837C2211yescharacteristic
169#16839834C2211yescharacteristic
170#16839833C2211yescharacteristic
171#16839830C2211yescharacteristic
172#16839817C2211yescharacteristic
173#16839816C2211yescharacteristic
174#16839812C2211yescharacteristic
175#16839805C2211yescharacteristic
176#16839803C2211yescharacteristic
177#16839803C2211yescharacteristic
178C2×#14519710C2211yescharacteristic
179#16839785C2211yescharacteristic
180#16839784C2211yescharacteristic
181C2×#14519706C2211yescharacteristic
182#16839764C2211yescharacteristic
183#16839761C2211yescharacteristic
184#16839760C2211yescharacteristic
185#16839760C2211yescharacteristic
186C2×#14519702C2211yescharacteristic
187C2×#14519700C2211yescharacteristic
188C61×#554C2211yescharacteristic
189C61×#553C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#485C2211yescharacteristic
192C61×#484C2211yescharacteristic
193C61×#481C2211yescharacteristic
194C61×#480C2211yescharacteristic
195C61×#479C2211yescharacteristic
196C61×#474C2211yescharacteristic
197C61×#468C2211yescharacteristic
198C61×#465C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#428C2211yescharacteristic
202C2×#107×C61C2211yescharacteristic
203C2×#11758222C2311yescharacteristic
204C2×#11758224—21no—
205C2×#11758224D411yescharacteristic
206C2×#11758224C2311yescharacteristic
207C22×Dic122—21no—
208C22×Dic122—21no—
209C22×Dic122C2311yescharacteristic
210C2×Q8×D61—21no—
211C2×Dic244C2311yescharacteristic
212C2×Dic244C2311yescharacteristic
213C2×#11758202C2311yescharacteristic
214C2×#11758202C2311yescharacteristic
215C2×#11758190C2311yescharacteristic
216C2×#11758200C2311yescharacteristic
217C2×#11758201C2311yescharacteristic
218C2×#11758194C2311yescharacteristic
219C2×#11758189C2311yescharacteristic
220C2×#11758189C2311yescharacteristic
221C22×#92418C2311yescharacteristic
222#14519777—21no—
223#14519777C2311yescharacteristic
224#14519776—21no—
225#14519776—21no—
226#14519776—21no—
227#14519776—21no—
228#14519776—21no—
229#14519776—21no—
230#14519776—21no—
231#14519776—21no—
232#14519776—21no—
233#14519776C2311yescharacteristic
234#14519776C2311yescharacteristic
235#14519776C2311yescharacteristic
236#14519776C2311yescharacteristic
237#14519776C2311yescharacteristic
238#14519776C2311yescharacteristic
239#14519776C2311yescharacteristic
240#14519776C2311yescharacteristic
241#14519775—21no—
242#14519775—21no—
243#14519775—21no—
244#14519775C2311yescharacteristic
245#14519773—21no—
246#14519773C2311yescharacteristic
247#14519772—21no—
248#14519772—21no—
249#14519771—21no—
250#14519770—21no—
251#14519770—21no—
252#14519768—21no—
253#14519768C2311yescharacteristic
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519767—21no—
261#14519767—21no—
262#14519767—21no—
263#14519765C2311yescharacteristic
264#14519764C2311yescharacteristic
265#14519763—21no—
266#14519763—21no—
267#14519763—21no—
268#14519763—21no—
269#14519763—21no—
270#14519762—21no—
271#14519762—21no—
272#14519760—21no—
273#14519759—21no—
274#14519758—21no—
275#14519757—21no—
276#14519757—21no—
277#14519757C2311yescharacteristic
278#14519757C2311yescharacteristic
279#14519756—21no—
280#14519756—21no—
281#14519756C2311yescharacteristic
282#14519756C2311yescharacteristic
283#14519756C2311yescharacteristic
284#14519755—21no—
285#14519755—21no—
286#14519755—21no—
287#14519755—21no—
288#14519754—21no—
289#14519754—21no—
290#14519754—21no—
291#14519754—21no—
292#14519754—21no—
293#14519754—21no—
294#14519754—21no—
295#14519753C2311yescharacteristic
296#14519752C2311yescharacteristic
297#14519751—21no—
298#14519751C2311yescharacteristic
299#14519750—21no—
300#14519749—21no—
301#14519749—21no—
302#14519749—21no—
303#14519749—21no—
304Q8×Dic61C2311yescharacteristic
305Q8×Dic61C2311yescharacteristic
306C4×Dic122—21no—
307C4×Dic122—21no—
308C4×Dic122—21no—
309C4×Dic122C2311yescharacteristic
310C4×Dic122C2311yescharacteristic
311C4×Dic122C2311yescharacteristic
312#14519742—21no—
313#14519742—21no—
314#14519742—21no—
315#14519742—21no—
316#14519742—21no—
317#14519742—21no—
318#14519742D411yescharacteristic
319#14519742C2311yescharacteristic
320#14519742C2311yescharacteristic
321#14519742C2311yescharacteristic
322#14519742C2311yescharacteristic
323#14519742C2311yescharacteristic
324#14519742C2311yescharacteristic
325#14519742C2311yescharacteristic
326D4×Dic61—21no—
327D4×Dic61—21no—
328D4×Dic61—21no—
329D4×Dic61D411yescharacteristic
330D4×Dic61C2311yescharacteristic
331#14519739—21no—
332#14519739C2311yescharacteristic
333#14519739C2311yescharacteristic
334C4×C22⋊D61—21no—
335C4×C22⋊D61—21no—
336C4×C22⋊D61—21no—
337C4×C22⋊D61—21no—
338C4×C22⋊D61—21no—
339C4×C22⋊D61C2311yescharacteristic
340C4×C22⋊D61C2311yescharacteristic
341#14519737—21no—
342#14519737—21no—
343#14519737—21no—
344#14519737—21no—
345#14519737—21no—
346#14519737—21no—
347#14519737—21no—
348#14519737—21no—
349#14519737D411yescharacteristic
350#14519737D411yescharacteristic
351#14519735—21no—
352#14519735D411yescharacteristic
353#14519735C2311yescharacteristic
354#14519734—21no—
355#14519734—21no—
356#14519733—21no—
357#14519733—21no—
358#14519733—21no—
359#14519733—21no—
360#14519733D411yescharacteristic
361#14519733D411yescharacteristic
362C2×C4⋊Dic61C2311yescharacteristic
363C2×C4⋊Dic61C2311yescharacteristic
364C2×#11758196—21no—
365C2×#11758196—21no—
366C2×#11758196—21no—
367C4⋊C4×D61—21no—
368C4⋊C4×D61C2311yescharacteristic
369C4⋊C4×D61C2311yescharacteristic
370C2×C4×Dic61—21no—
371C2×C4×Dic61—21no—
372C2×C4×Dic61C2311yescharacteristic
373C2×C4×Dic61C2311yescharacteristic
374C42×D61—21no—
375C42×D61C2311yescharacteristic
376#14519710C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519709C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391C4⋊#92418C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×SD16×C61C2311yescharacteristic
436C2×M16×C61C2311yescharacteristic
437C22×C8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#126×C61—21no—
440#125×C61—21no—
441#125×C61C2311yescharacteristic
442#123×C61—21no—
443C22⋊Q8×C61—21no—
444C22⋊Q8×C61—21no—
445C22⋊Q8×C61C2311yescharacteristic
446C22⋊Q8×C61C2311yescharacteristic
447#121×C61—21no—
448#121×C61C2311yescharacteristic
449#121×C61C2311yescharacteristic
450C4×Q8×C61C2311yescharacteristic
451C4×D4×C61—21no—
452C4×D4×C61—21no—
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455#117×C61C2311yescharacteristic
456C2×C4⋊C4×C61C2311yescharacteristic
457C2×C4⋊C4×C61C2311yescharacteristic
458C2×C4⋊C4×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×Q8×C61C2411yescharacteristic
480C2×D4×C61—21no—
481C2×D4×C61—21no—
482C2×D4×C61C2×D411yescharacteristic
483C2×D4×C61C2411yescharacteristic
484C22×C4×C61—21no—
485C22×C4×C61—21no—
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61C2411yescharacteristic
489C22×C4×C61C2411yescharacteristic
490C2×C22⋊D61—21no—
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61C2×D411yescharacteristic
496C2×C22⋊D61C2×D411yescharacteristic
497C22×Dic61—21no—
498C22×Dic61—21no—
499C22×Dic61—21no—
500C22×Dic61—21no—
501C22×Dic61—21no—
502C22×Dic61C2×D411yescharacteristic
503C22×Dic61C2×D411yescharacteristic
504C22×Dic61C2×D411yescharacteristic
505C22×Dic61C2×D411yescharacteristic
506Q8×D61—82no—
507#11758224—24no—
508#11758224—22no—
509#11758224—41no—
510#11758224—44no—
511#11758222—22no—
512#11758222—41no—
513C2×D244—21no—
514C2×D244C2411yescharacteristic
515C2×C4×D61—21no—
516C2×C4×D61—21no—
517C2×C4×D61—21no—
518C2×C4×D61—21no—
519C2×C4×D61—21no—
520C2×C4×D61C2×D411yescharacteristic
521C2×C4×D61C2×D411yescharacteristic
522C2×C4×D61C2411yescharacteristic
523C2×Dic122—22no—
524C2×Dic122—21no—
525C2×Dic122—21no—
526C2×Dic122—21no—
527C2×Dic122—21no—
528C2×Dic122—21no—
529C2×Dic122—21no—
530C2×Dic122—21no—
531C2×Dic122—21no—
532C2×Dic122—21no—
533C2×Dic122—21no—
534C2×Dic122—41no—
535C2×Dic122—82no—
536C2×Dic122—82no—
537C2×Dic122C2×D411yescharacteristic
538C2×Dic122C2411yescharacteristic
539C2×Dic122C2411yescharacteristic
540C2×Dic122C2411yescharacteristic
541SD16×C61—41no—
542M16×C61—41no—
543C2×C8×C61—41no—
544C2×C8×C61C2411yescharacteristic
545C2×C8×C61C2411yescharacteristic
546C2×C8×C61C2411yescharacteristic
547C2×C8×C61C2411yescharacteristic
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61C2×D411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61C2×D411yescharacteristic
571C22⋊C4×C61C2×D411yescharacteristic
572C42×C61—21no—
573C42×C61—21no—
574C42×C61C2411yescharacteristic
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61C2×D411yescharacteristic
582C22⋊Dic61C2×D411yescharacteristic
583#11758202—22no—
584#11758202—41no—
585#11758201—41no—
586#11758200—41no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198C2×D411yescharacteristic
598#11758198C2×D411yescharacteristic
599C4⋊Dic61—21no—
600C4⋊Dic61—21no—
601C4⋊Dic61—21no—
602C4⋊Dic61—21no—
603C4⋊Dic61—21no—
604C4⋊Dic61—21no—
605C4⋊Dic61—21no—
606C4⋊Dic61—21no—
607C4⋊Dic61C2×D411yescharacteristic
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#11758196C2×D411yescharacteristic
639#11758196C2×D411yescharacteristic
640#11758196C2×D411yescharacteristic
641#11758196C2×D411yescharacteristic
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
661C4×Dic61C2411yescharacteristic
662C4×Dic61C2411yescharacteristic
663#11758194—41no—
664C2×#92418—41no—
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669Dic244—22no—
670Dic244—41no—
671#11758190—41no—
672#11758189—41no—
673#11758189—41no—
674C23×C61—21no—
675C23×C61C22×D411yescharacteristic
676C23×C61C22×D411yescharacteristic
677C22×D61—21no—
678C22×D61C22×D411yescharacteristic
679Q8×C61—21no—
680Q8×C61—21no—
681Q8×C61—81no—
682D4×C61—22no—
683D4×C61—21no—
684D4×C61—21no—
685D4×C61—42no—
686D4×C61—81no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
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—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—81no—
699C2×C4×C61—81no—
700C2×C4×C61—81no—
701C2×C4×C61—81no—
702C2×C4×C61C22×D411yescharacteristic
703C2×C4×C61C22×D411yescharacteristic
704C2×C4×C61C22×D411yescharacteristic
705C2×C4×C61C22×D411yescharacteristic
706C2×C4×C61C2511yescharacteristic
707C22⋊D61—22no—
708C22⋊D61—22no—
709C22⋊D61—42no—
710C22⋊D61—42no—
711C22⋊D61—42no—
712C22⋊D61—42no—
713C22⋊D61—81no—
714C2×Dic61—21no—
715C2×Dic61—22no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—41no—
723C2×Dic61—41no—
724C2×Dic61—42no—
725C2×Dic61—42no—
726C2×Dic61—42no—
727C2×Dic61—81no—
728C2×Dic61—81no—
729C2×Dic61#13714yes—
730C2×Dic61C22×D411yescharacteristic
731C2×Dic61C22×D411yescharacteristic
732C2×Dic61C22×D411yescharacteristic
733C2×Dic61C22×D411yescharacteristic
734C2×Dic61C22×D411yescharacteristic
735C2×Dic61C22×D411yescharacteristic
736C2×Dic61C22×D411yescharacteristic
737D244—21no—
738D244—21no—
739D244—81no—
740C4×D61—21no—
741C4×D61—21no—
742C4×D61—22no—
743C4×D61—41no—
744C4×D61—42no—
745C4×D61—42no—
746C4×D61—81no—
747C4×D61—81no—
748C4×D61—81no—
749Dic122—21no—
750Dic122—22no—
751Dic122—21no—
752Dic122—21no—
753Dic122—21no—
754Dic122—21no—
755Dic122—42no—
756Dic122—42no—
757Dic122—42no—
758Dic122—42no—
759Dic122—42no—
760Dic122—81no—
761Dic122—81no—
762Dic122—81no—
763Dic122—81no—
764Dic122—81no—
765Dic1222−1+412yes—
766C8×C61—21no—
767C8×C61—21no—
768C8×C61—21no—
769C8×C61—21no—
770#92418—21no—
771#92418—21no—
772#92418—21no—
773#92418—21no—
774#62112—611nomaximal, Sylow
775C22×C61—21no—
776C22×C61—21no—
777C22×C61—21no—
778C22×C61—21no—
779C22×C61—21no—
780C22×C61—41no—
781C22×C61—41no—
782C22×C61—41no—
783C22×C61C2×#13712yes—
784C22×C61C23×D411yescharacteristic
785C2×D61—21no—
786C2×D61—21no—
787C2×D61—21no—
788C2×D61—41no—
789C2×D61—41no—
790C2×D61—41no—
791C4×C61—21no—
792C4×C61—21no—
793C4×C61—21no—
794C4×C61—21no—
795C4×C61—41no—
796C4×C61—41no—
797C4×C61—41no—
798C4×C61—41no—
799C4×C61—41no—
800C4×C61—41no—
801C4×C61—41no—
802C4×C61C2×2−1+411yescharacteristic
803C4×C61#58511yescharacteristic
804Dic61—21no—
805Dic61—21no—
806Dic61—21no—
807Dic61—22no—
808Dic61—21no—
809Dic61—21no—
810Dic61—41no—
811Dic61—41no—
812Dic61—41no—
813Dic61—41no—
814Dic61—41no—
815Dic61—41no—
816Dic61C2×#13712yes—
817Dic61C2×#13712yes—
818#3503—611no—
819#3480—611no—
820#3387—611no—
821#3387—611no—
822#3375—611no—
823#3375—611no—
824#3356—611no—
825#3356—611no—
826#3346—611no—
827#3346—611no—
828#3346—611no—
829#3346D6111yescharacteristic, complemented
830#3333—611no—
831#3333—611no—
832#3316—611no—
833#3316—611no—
834#3316—611no—
835#3316—611no—
836#3252—611no—
837#3252—611no—
838#3246—611no—
839#3238—611no—
840#3238—611no—
841#3227—611no—
842#3116—611no—
843#3116—611no—
844#3104—611no—
845#3079—611no—
846#3079—611no—
847C2×#477—611no—
848#2989—611no—
849C2×C61—22no—
850C2×C61—41no—
851C2×C61—81no—
852C2×C61#348911yescharacteristic
853C2×C61C22×#13711yescharacteristic
854C2×C61#358511yescharacteristic
855D61—41no—
856D61—81no—
857#559—611no—
858#559—1221no—
859Q82—611no—
860Q82—611no—
861#557—611no—
862#557—1221no—
863#556—611no—
864#556—1221no—
865#554—611no—
866#554—611no—
867#554—611no—
868#554—611no—
869#554—611no—
870#554C2×D6111yescharacteristic
871#553—611no—
872#553—1221no—
873#553—1221no—
874#553C2×D6111yescharacteristic
875#550—611no—
876D4×Q8—1221no—
877D4×Q8—1221no—
878D4×Q8—1221no—
879#548—611no—
880#548—611no—
881#544—1221no—
882#544—1221no—
883#544—1221no—
884#533—611no—
885#533—611no—
886#533—611no—
887#532—611no—
888#532—1221no—
889C2×C4⋊Q8—611no—
890C2×C4⋊Q8—611no—
891C2×C4⋊Q8—611no—
892#529—611no—
893#529—611no—
894#529—1221no—
895#529—1221no—
896#520—1221no—
897C4×#41—611no—
898C4×#41—611no—
899C4×#41—611no—
900C4×#41—1221no—
901C2×C4×Q8—611no—
902#501—611no—
903#501—611no—
904#501—611no—
905#501C2×D6111yescharacteristic
906#498—611no—
907#498—611no—
908#489—611no—
909#489—611no—
910#489—611no—
911#489—611no—
912#486—611no—
913#486—611no—
914#485—611no—
915#485—611no—
916#485—611no—
917#485C2×D6111yescharacteristic
918#484—611no—
919#484C2×D6111yescharacteristic
920#483—611no—
921#483—611no—
922#483—611no—
923#483—611no—
924#481—611no—
925#481—611no—
926#481—611no—
927#481C2×D6111yescharacteristic
928#480—611no—
929#480—611no—
930#480—611no—
931#480C2×D6111yescharacteristic
932#479—611no—
933#479—611no—
934#479—611no—
935#479C2×D6111yescharacteristic
936#477—611no—
937#477—611no—
938#477—611no—
939#477—611no—
940#477—611no—
941#477—611no—
942#477—611no—
943#477—611no—
944#477—611no—
945#477—611no—
946#476—611no—
947#476—611no—
948#476—611no—
949#476—611no—
950#476—611no—
951#476—611no—
952#475—611no—
953#475—611no—
954#475—611no—
955#475—611no—
956#475—611no—
957#475—611no—
958#474—611no—
959#474—611no—
960#474—611no—
961#474C2×D6111yescharacteristic
962#470—611no—
963#470—611no—
964#470—611no—
965#470—611no—
966#468—611no—
967#468—611no—
968#468—611no—
969#468C2×D6111yescharacteristic
970#465—611no—
971#465—611no—
972#465—611no—
973#465C2×D6111yescharacteristic
974#464—611no—
975#464—611no—
976#464—611no—
977#464—611no—
978#462—611no—
979#462—611no—
980#461—611no—
981#461—611no—
982#460—611no—
983#460—611no—
984#452—611no—
985#452—611no—
986#452—611no—
987#452—611no—
988#451—611no—
989#451—611no—
990#446—611no—
991#446—611no—
992#441—611no—
993#441—611no—
994#441—611no—
995#441—611no—
996#440—611no—
997#440—611no—
998#440—611no—
999#440C2×D6111yescharacteristic
1000C4×Q16—611no—
1001C4×Q16—611no—
1002C4×Q16—611no—
1003C4×Q16—611no—
1004#436—611no—
1005#436—611no—
1006#435—611no—
1007#435—611no—
1008#435—611no—
1009#435C2×D6111yescharacteristic
1010#432—611no—
1011#432—611no—
1012#431—611no—
1013#428—611no—
1014#428—611no—
1015#428—611no—
1016#428C2×D6111yescharacteristic
1017C2×#107—611no—
1018C2×#107C2×D6111yescharacteristic
1019#423—611no—
1020#423—611no—
1021C2×C4⋊C8—611no—
1022#417—611no—
1023#417—611no—
1024#417—611no—
1025#417—611no—
1026C2×#103—611no—
1027C2×#103—611no—
1028C61#6211211yescharacteristic, complemented, Sylow
1029C2×#41—611no—
1030C2×#41—611no—
1031C2×#41—611no—
1032C2×#41—1221no—
1033C22×Q8—611no—
1034C22×Q8—1221no—
1035C22×Q8—1221no—
1036C22×Q8—1221no—
1037C2×Q16—611no—
1038C2×Q16—611no—
1039C2×Q16—611no—
1040C2×Q16—611no—
1041C2×SD16—611no—
1042C2×SD16—611no—
1043C2×SD16—611no—
1044C2×SD16C22×D6111yescharacteristic
1045C2×M16—611no—
1046C2×M16—611no—
1047C2×M16—611no—
1048C2×M16C22×D6111yescharacteristic
1049C22×C8—611no—
1050C22×C8C22×D6111yescharacteristic
1051C4⋊Q8—611no—
1052C4⋊Q8—611no—
1053C4⋊Q8—611no—
1054C4⋊Q8—611no—
1055C4⋊Q8—611no—
1056C4⋊Q8—611no—
1057C4⋊Q8—611no—
1058C4⋊Q8—611no—
1059C4⋊Q8—611no—
1060C4⋊Q8—611no—
1061C4⋊Q8—1221no—
1062C4⋊Q8—1221no—
1063C4⋊Q8—1221no—
1064C4⋊Q8—1221no—
1065C4⋊Q8—1221no—
1066C4⋊Q8—1221no—
1067C4⋊Q8—1221no—
1068C4⋊Q8—1221no—
1069C4⋊Q8—1221no—
1070C4⋊Q8—1221no—
1071C4⋊Q8—1221no—
1072C4⋊Q8—1221no—
1073C4⋊Q8—1221no—
1074C4⋊Q8C22×D6111yescharacteristic
1075#127—611no—
1076#127—1221no—
1077#126—21no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#125—21no—
1084#125—611no—
1085#125—1221no—
1086#125—1221no—
1087#125—1221no—
1088#125—1221no—
1089#125—1221no—
1090#125—1221no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125C22×D6111yescharacteristic
1096#124—611no—
1097#124—611no—
1098#124—1221no—
1099#124—1221no—
1100#124—1221no—
1101#124—1221no—
1102#124—1221no—
1103#123—21no—
1104#123—1221no—
1105#123—1221no—
1106#123—1221no—
1107#123—1221no—
1108#123—1221no—
1109C22⋊Q8—21no—
1110C22⋊Q8—21no—
1111C22⋊Q8—611no—
1112C22⋊Q8—611no—
1113C22⋊Q8—611no—
1114C22⋊Q8—611no—
1115C22⋊Q8—611no—
1116C22⋊Q8—611no—
1117C22⋊Q8—1221no—
1118C22⋊Q8—1221no—
1119C22⋊Q8—1221no—
1120C22⋊Q8—1221no—
1121C22⋊Q8—1221no—
1122C22⋊Q8—1221no—
1123C22⋊Q8—1221no—
1124C22⋊Q8—1221no—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8C22×D6111yescharacteristic
1133C22⋊Q8C22×D6111yescharacteristic
1134#121—21no—
1135#121—611no—
1136#121—611no—
1137#121—1221no—
1138#121—1221no—
1139#121—1221no—
1140#121—1221no—
1141#121—1221no—
1142#121—1221no—
1143#121C22×D6111yescharacteristic
1144#121C22×D6111yescharacteristic
1145C4×Q8—611no—
1146C4×Q8—611no—
1147C4×Q8—611no—
1148C4×Q8—611no—
1149C4×Q8—611no—
1150C4×Q8—611no—
1151C4×Q8—611no—
1152C4×Q8—611no—
1153C4×Q8—611no—
1154C4×Q8—611no—
1155C4×Q8—611no—
1156C4×Q8—611no—
1157C4×Q8—611no—
1158C4×Q8—1221no—
1159C4×Q8—1221no—
1160C4×Q8—1221no—
1161C4×Q8—1221no—
1162C4×Q8—1221no—
1163C4×Q8—1221no—
1164C4×Q8—1221no—
1165C4×Q8—1221no—
1166C4×Q8—1221no—
1167C4×Q8C22×D6111yescharacteristic
1168C4×D4—21no—
1169C4×D4—21no—
1170C4×D4—611no—
1171C4×D4—611no—
1172C4×D4—611no—
1173C4×D4—611no—
1174C4×D4—611no—
1175C4×D4—611no—
1176C4×D4—611no—
1177C4×D4—611no—
1178C4×D4—1221no—
1179C4×D4—1221no—
1180C4×D4—1221no—
1181C4×D4—1221no—
1182C4×D4—1221no—
1183C4×D4—1221no—
1184C4×D4—1221no—
1185C4×D4—1221no—
1186C4×D4—1221no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4C22×D6111yescharacteristic
1196C4×D4C22×D6111yescharacteristic
1197#117—611no—
1198#117—611no—
1199#117—611no—
1200#117—611no—
1201#117—1221no—
1202#117—1221no—
1203#117—1221no—
1204#117—1221no—
1205#117—1221no—
1206#117—1221no—
1207#117—1221no—
1208#117C22×D6111yescharacteristic
1209C2×C4⋊C4—611no—
1210C2×C4⋊C4—611no—
1211C2×C4⋊C4—611no—
1212C2×C4⋊C4—611no—
1213C2×C4⋊C4—1221no—
1214C2×C4⋊C4—1221no—
1215C2×C4⋊C4—1221no—
1216C2×C4⋊C4—1221no—
1217C2×C4⋊C4C22×D6111yescharacteristic
1218C2×C4⋊C4C22×D6111yescharacteristic
1219C2×C4⋊C4C22×D6111yescharacteristic
1220C2×C42—611no—
1221C2×C42—611no—
1222C2×C42—611no—
1223C2×C42—1221no—
1224C2×C42—1221no—
1225C2×C42—1221no—
1226#107—611no—
1227#107—611no—
1228#107—611no—
1229#107—611no—
1230#107—611no—
1231#107—611no—
1232#107C22×D6111yescharacteristic
1233#107C22×D6111yescharacteristic
1234#107C22×D6111yescharacteristic
1235#107C22×D6111yescharacteristic
1236#107C22×D6111yescharacteristic
1237#107C22×D6111yescharacteristic
1238#106—611no—
1239#106—611no—
1240#106—611no—
1241#106—611no—
1242#106—611no—
1243#106—611no—
1244#106—611no—
1245#106—611no—
1246#106—611no—
1247#106C22×D6111yescharacteristic
1248#106C22×D6111yescharacteristic
1249#106C22×D6111yescharacteristic
1250C4⋊C8—611no—
1251C4⋊C8—611no—
1252C4⋊C8—611no—
1253C4⋊C8—611no—
1254C4⋊C8—611no—
1255C4⋊C8—611no—
1256C4⋊C8—611no—
1257C4⋊C8—611no—
1258C4⋊C8—611no—
1259C4⋊C8C22×D6111yescharacteristic
1260#103—611no—
1261#103—611no—
1262#103—611no—
1263#103—611no—
1264#103—611no—
1265#103—611no—
1266#103—611no—
1267#103—611no—
1268#103—611no—
1269#103—611no—
1270#103—611no—
1271#103—611no—
1272#103—611no—
1273#103—611no—
1274#103—611no—
1275#103—611no—
1276#103—611no—
1277#103C22×D6111yescharacteristic
1278#103C22×D6111yescharacteristic
1279#103C22×D6111yescharacteristic
1280#102—611no—
1281#102—611no—
1282#102—611no—
1283#102—611no—
1284#102—611no—
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102C22×D6111yescharacteristic
1290#102C22×D6111yescharacteristic
1291#102C22×D6111yescharacteristic
1292C22⋊C8—611no—
1293C22⋊C8—611no—
1294C22⋊C8—611no—
1295C22⋊C8—611no—
1296C22⋊C8C22×D6111yescharacteristic
1297C22⋊C8C22×D6111yescharacteristic
1298#97—611no—
1299#97—611no—
1300#97—611no—
1301#97C22×D6111yescharacteristic
1302C4×C8—611no—
1303C4×C8—611no—
1304#41—1222no—
1305#41—1224no—
1306#41—1222no—
1307#41—2441no—
1308#41—2444no—
1309#41—2441no—
1310C2×Q8—21no—
1311C2×Q8—611no—
1312C2×Q8—611no—
1313C2×Q8—611no—
1314C2×Q8—611no—
1315C2×Q8—1221no—
1316C2×Q8—1221no—
1317C2×Q8—1221no—
1318C2×Q8—1221no—
1319C2×Q8—1221no—
1320C2×Q8—1221no—
1321C2×Q8—1221no—
1322C2×Q8—1221no—
1323C2×Q8—1222no—
1324C2×Q8—1221no—
1325C2×Q8—1221no—
1326C2×Q8—4882no—
1327C2×Q8—4882no—
1328C2×Q8—4882no—
1329C2×Q8—2441no—
1330C2×Q8C23×D6111yescharacteristic
1331C2×D4—21no—
1332C2×D4—21no—
1333C2×D4—611no—
1334C2×D4—611no—
1335C2×D4—611no—
1336C2×D4—1221no—
1337C2×D4—1221no—
1338C2×D4—1221no—
1339C2×D4—1221no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4D4×D6111yescharacteristic
1343C2×D4C23×D6111yescharacteristic
1344C22×C4—21no—
1345C22×C4—21no—
1346C22×C4—21no—
1347C22×C4—21no—
1348C22×C4—611no—
1349C22×C4—611no—
1350C22×C4—611no—
1351C22×C4—611no—
1352C22×C4—611no—
1353C22×C4—611no—
1354C22×C4—611no—
1355C22×C4—1221no—
1356C22×C4—1221no—
1357C22×C4—1221no—
1358C22×C4—1221no—
1359C22×C4—1221no—
1360C22×C4—1221no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4C23×D6111yescharacteristic
1366C22×C4C23×D6111yescharacteristic
1367Q16—1222no—
1368Q16—1222no—
1369Q16—2441no—
1370Q16—2441no—
1371SD16—41no—
1372SD16—2441no—
1373SD16—2441no—
1374SD16—2441no—
1375M16—41no—
1376M16—2441no—
1377M16—2441no—
1378M16—2441no—
1379C2×C8—41no—
1380C2×C8—611no—
1381C2×C8—611no—
1382C2×C8—611no—
1383C2×C8—611no—
1384C2×C8—2441no—
1385C2×C8C23×D6111yescharacteristic
1386C2×C8C23×D6111yescharacteristic
1387C2×C8C23×D6111yescharacteristic
1388C2×C8C23×D6111yescharacteristic
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
1392C4⋊C4—21no—
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—611no—
1399C4⋊C4—611no—
1400C4⋊C4—611no—
1401C4⋊C4—611no—
1402C4⋊C4—611no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
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⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4D4×D6111yescharacteristic
1442C4⋊C4C23×D6111yescharacteristic
1443C4⋊C4C23×D6111yescharacteristic
1444C4⋊C4C23×D6111yescharacteristic
1445C4⋊C4C23×D6111yescharacteristic
1446C4⋊C4C23×D6111yescharacteristic
1447C4⋊C4C23×D6111yescharacteristic
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—611no—
1455C22⋊C4—611no—
1456C22⋊C4—611no—
1457C22⋊C4—611no—
1458C22⋊C4—1221no—
1459C22⋊C4—1221no—
1460C22⋊C4—1221no—
1461C22⋊C4—1221no—
1462C22⋊C4—1221no—
1463C22⋊C4—1221no—
1464C22⋊C4—1221no—
1465C22⋊C4—1221no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4D4×D6111yescharacteristic
1475C22⋊C4D4×D6111yescharacteristic
1476C42—21no—
1477C42—21no—
1478C42—611no—
1479C42—611no—
1480C42—611no—
1481C42—611no—
1482C42—611no—
1483C42—611no—
1484C42—611no—
1485C42—611no—
1486C42—611no—
1487C42—1221no—
1488C42—1221no—
1489C42—1221no—
1490C42—1221no—
1491C42—1221no—
1492C42—1221no—
1493C42—1221no—
1494C42—1221no—
1495C42—1221no—
1496C42—1221no—
1497C42—1221no—
1498C42—1221no—
1499C42C23×D6111yescharacteristic
1500C23—21no—
1501C23—611no—
1502C23—1221no—
1503C23C2×D4×D6111yescharacteristic
1504C23C2×D4×D6111yescharacteristic
1505Q8—21no—
1506Q8—21no—
1507Q8—81no—
1508Q8—612no—
1509Q8—1222no—
1510Q8—1221no—
1511Q8—1221no—
1512Q8—1221no—
1513Q8—1221no—
1514Q8—1221no—
1515Q8—4881no—
1516Q8—4881no—
1517Q8—4881no—
1518Q8—4881no—
1519Q8—4881no—
1520Q8—2442no—
1521Q8—2442no—
1522Q8—2442no—
1523Q8—2442no—
1524Q8—2442no—
1525D4—22no—
1526D4—21no—
1527D4—21no—
1528D4—42no—
1529D4—81no—
1530D4—1222no—
1531D4—1222no—
1532D4—1221no—
1533D4—1221no—
1534D4—4881no—
1535D4—4881no—
1536D4—2442no—
1537D4—2442no—
1538D4—2442no—
1539D4—2442no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—81no—
1552C2×C4—81no—
1553C2×C4—81no—
1554C2×C4—81no—
1555C2×C4—614no—
1556C2×C4—611no—
1557C2×C4—611no—
1558C2×C4—611no—
1559C2×C4—611no—
1560C2×C4—611no—
1561C2×C4—611no—
1562C2×C4—611no—
1563C2×C4—1222no—
1564C2×C4—1222no—
1565C2×C4—1221no—
1566C2×C4—1221no—
1567C2×C4—1221no—
1568C2×C4—1221no—
1569C2×C4—1221no—
1570C2×C4—1221no—
1571C2×C4—1221no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—4881no—
1575C2×C4—4881no—
1576C2×C4—4881no—
1577C2×C4—4881no—
1578C2×C4—4881no—
1579C2×C4—2441no—
1580C2×C4—2442no—
1581C2×C4—2442no—
1582C2×C4—2442no—
1583C2×C4—2441no—
1584C2×C4—2441no—
1585C2×C4—2442no—
1586C2×C4—2442no—
1587C2×C4C2×D4×D6111yescharacteristic
1588C2×C4C2×D4×D6111yescharacteristic
1589C2×C4C2×D4×D6111yescharacteristic
1590C2×C4C2×D4×D6111yescharacteristic
1591C2×C4C24×D6111yescharacteristic
1592C8—21no—
1593C8—21no—
1594C8—21no—
1595C8—21no—
1596C8—1221no—
1597C8—1221no—
1598C8—1221no—
1599C8—1221no—
1600C22—21no—
1601C22—21no—
1602C22—21no—
1603C22—21no—
1604C22—21no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—1221no—
1609C22—1221no—
1610C22—1221no—
1611C22—2441no—
1612C22—2441no—
1613C22—2441no—
1614C22#137×D6112yes—
1615C22C22×D4×D6111yescharacteristic
1616C4—21no—
1617C4—21no—
1618C4—21no—
1619C4—21no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—612no—
1628C4—612no—
1629C4—1221no—
1630C4—1222no—
1631C4—1221no—
1632C4—1221no—
1633C4—1221no—
1634C4—1221no—
1635C4—2441no—
1636C4—2441no—
1637C4—2441no—
1638C4—2441no—
1639C4—2441no—
1640C4—2441no—
1641C42−1+4×D6111yescharacteristic
1642C4#1684059811yescharacteristic
1643C2—22no—
1644C2—41no—
1645C2—81no—
1646C2—4881no—
1647C2—2441no—
1648C2#2145949311yescharacteristic
1649C2C2×#137×D6111yescharacteristic
1650C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3346C2
socleC22×C61C23×D4
prime radical#21459413C2
hypercenter#3346D61
hypocenterC61#62112
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3346

Complements

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

NH ≅ G/Ntype
1. #21459633C2semidirect
3. #21458754C2semidirect
4. #21458748C2semidirect
5. #21458636C2semidirect
6. #21458634C2semidirect
7. #21458432C2semidirect
8. #21458430C2semidirect
9. #21458308C2semidirect
10. #21458304C2semidirect
11. #21458300C2semidirect
12. #21458155C2semidirect
13. #21458152C2semidirect
14. #21457936C2semidirect
15. #21457932C2semidirect
16. #21457928C2semidirect
17. #21457924C2semidirect
18. #21457191C2semidirect
19. #21457185C2semidirect
20. #21457130C2semidirect
21. #21457041C2semidirect
22. #21457038C2semidirect
23. #21456945C2semidirect
24. #21455977C2semidirect
25. #21455976C2semidirect
26. #21455855C2semidirect
27. #21455632C2semidirect
28. #21455627C2semidirect
29. C2×#16840056C2semidirect
30. #21454931C2semidirect
31. C61×#3346C2semidirect
829. #3346D61semidirect
1028. C61#62112semidirect

Maximal subgroups

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

subgroupindex
#214596332
#214594132
#214587542
#214587482
#214586362
#214586342
#214584322
#214584302
#214583082
#214583042
#214583002
#214581552
#214581522
#214579362
#214579322
#214579282
#214579242
#214571912
#214571852
#214571302
#214570412
#214570382
#214569452
#214559772
#214559762
#214558552
#214556322
#214556272
C2×#168400562
#214549312
C61×#33462
#6211261