Finite Group Databasebeta

← #30576885

Subgroups — #30576885

Order 15616.

1646 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460471C211yesmaximal, characteristic, complemented
2#21459837C211yesmaximal, characteristic, complemented
3#21458725C211yesmaximal, characteristic, complemented
4#21458661C211yesmaximal, characteristic, complemented
5#21458648C211yesmaximal, characteristic, complemented
6#21458363C211yesmaximal, characteristic, complemented
7#21458346C211yesmaximal, characteristic, complemented
8#21458341C211yesmaximal, characteristic, complemented
9#21458318C211yesmaximal, characteristic, complemented
10#21458248C211yesmaximal, characteristic, complemented
11#21458231C211yesmaximal, characteristic, complemented
12#21458002C211yesmaximal, characteristic, complemented
13#21457987C211yesmaximal, characteristic, complemented
14#21457890C211yesmaximal, characteristic, complemented
15#21457875C211yesmaximal, characteristic, complemented
16#21457718C211yesmaximal, characteristic, complemented
17#21457711C211yesmaximal, characteristic, complemented
18#21457288C211yesmaximal, characteristic, complemented
19#21457282C211yesmaximal, characteristic, complemented
20#21457159C211yesmaximal, characteristic, complemented
21#21457120C211yesmaximal, characteristic, complemented
22#21457103C211yesmaximal, characteristic, complemented
23#21457034C211yesmaximal, characteristic, complemented
24#21456054C211yesmaximal, characteristic, complemented
25#21456052C211yesmaximal, characteristic, complemented
26#21455934C211yesmaximal, characteristic, complemented
27#21455658C211yesmaximal, characteristic, complemented
28#21455654C211yesmaximal, characteristic, complemented
29#21455606C211yesmaximal, characteristic, complemented
30#21454957C211yesmaximal, characteristic, complemented
31C61×#3387C211yesmaximal, characteristic, complemented
32#16840511—21no—
33#16840510—21no—
34#16840486—21no—
35#16840486—21no—
36#16840486C2211yescharacteristic
37#16840486C2211yescharacteristic
38#16840485—21no—
39#16840485C2211yescharacteristic
40#16840485C2211yescharacteristic
41#16840484—21no—
42#16840478—21no—
43#16840478C2211yescharacteristic
44#16840478C2211yescharacteristic
45#16840472C2211yescharacteristic
46#16840465C2211yescharacteristic
47#16840465C2211yescharacteristic
48#16840453C2211yescharacteristic
49#16840453C2211yescharacteristic
50#16840444—21no—
51Q8×D244C2211yescharacteristic
52#16840424C2211yescharacteristic
53#16840424C2211yescharacteristic
54#16840392C2211yescharacteristic
55#16840389C2211yescharacteristic
56#16840386—21no—
57#16840386—21no—
58#16840386—21no—
59#16840386C2211yescharacteristic
60#16840386C2211yescharacteristic
61#16840384—21no—
62#16840384C2211yescharacteristic
63#16840384C2211yescharacteristic
64#16840371—21no—
65#16840360—21no—
66#16840318C2211yescharacteristic
67#16840317—21no—
68#16840317C2211yescharacteristic
69#16840299—21no—
70#16840299C2211yescharacteristic
71#16840299C2211yescharacteristic
72#16840238C2211yescharacteristic
73#16840238C2211yescharacteristic
74C4×#11758226C2211yescharacteristic
75#16840168C2211yescharacteristic
76#16840168C2211yescharacteristic
77#16840165C2211yescharacteristic
78#16840132C2211yescharacteristic
79#16840131C2211yescharacteristic
80#16840124C2211yescharacteristic
81#16840122C2211yescharacteristic
82#16840119C2211yescharacteristic
83#16840117C2211yescharacteristic
84#16840106C2211yescharacteristic
85#16840106C2211yescharacteristic
86#16840106C2211yescharacteristic
87#16840106C2211yescharacteristic
88#16840105C2211yescharacteristic
89#16840105C2211yescharacteristic
90#16840102C2211yescharacteristic
91#16840101C2211yescharacteristic
92#16840101C2211yescharacteristic
93#16840099C2211yescharacteristic
94#16840094C2211yescharacteristic
95#16840089C2211yescharacteristic
96#16840088C2211yescharacteristic
97#16840088C2211yescharacteristic
98#16840088C2211yescharacteristic
99#16840088C2211yescharacteristic
100#16840082C2211yescharacteristic
101#16840077C2211yescharacteristic
102#16840072C2211yescharacteristic
103#16840072C2211yescharacteristic
104#16840070C2211yescharacteristic
105#16840069C2211yescharacteristic
106#16840069C2211yescharacteristic
107#16840067C2211yescharacteristic
108#16840066C2211yescharacteristic
109#16840063C2211yescharacteristic
110#16840061C2211yescharacteristic
111#16840059C2211yescharacteristic
112#16840057C2211yescharacteristic
113#16840056C2211yescharacteristic
114#16840056C2211yescharacteristic
115#16840055C2211yescharacteristic
116#16840054C2211yescharacteristic
117#16840051C2211yescharacteristic
118#16840049C2211yescharacteristic
119#16840048C2211yescharacteristic
120#16840046C2211yescharacteristic
121#16840046C2211yescharacteristic
122#16840045C2211yescharacteristic
123#16840041C2211yescharacteristic
124#16840039C2211yescharacteristic
125#16840039C2211yescharacteristic
126#16840019C2211yescharacteristic
127#16840016C2211yescharacteristic
128#16840011C2211yescharacteristic
129#16840009C2211yescharacteristic
130#16840002C2211yescharacteristic
131#16840002C2211yescharacteristic
132#16840002C2211yescharacteristic
133#16839999C2211yescharacteristic
134#16839994C2211yescharacteristic
135#16839992C2211yescharacteristic
136#16839992C2211yescharacteristic
137#16839992C2211yescharacteristic
138#16839987C2211yescharacteristic
139#16839987C2211yescharacteristic
140#16839986C2211yescharacteristic
141#16839984C2211yescharacteristic
142#16839984C2211yescharacteristic
143#16839980C2211yescharacteristic
144#16839978C2211yescharacteristic
145#16839978C2211yescharacteristic
146#16839972C2211yescharacteristic
147#16839968C2211yescharacteristic
148#16839923C2211yescharacteristic
149#16839916C2211yescharacteristic
150#16839916C2211yescharacteristic
151#16839910C2211yescharacteristic
152#16839902C2211yescharacteristic
153#16839902C2211yescharacteristic
154#16839893C2211yescharacteristic
155#16839875C2211yescharacteristic
156#16839867C2211yescharacteristic
157#16839864C2211yescharacteristic
158#16839860C2211yescharacteristic
159#16839860C2211yescharacteristic
160#16839860C2211yescharacteristic
161C4×#11758202C2211yescharacteristic
162C4×#11758190C2211yescharacteristic
163C4×#11758201C2211yescharacteristic
164#16839835C2211yescharacteristic
165#16839835C2211yescharacteristic
166#16839832C2211yescharacteristic
167#16839832C2211yescharacteristic
168C8×D244C2211yescharacteristic
169#16839827C2211yescharacteristic
170#16839824C2211yescharacteristic
171#16839821C2211yescharacteristic
172#16839817C2211yescharacteristic
173#16839803C2211yescharacteristic
174#16839801C2211yescharacteristic
175#16839799C2211yescharacteristic
176#16839797C2211yescharacteristic
177#16839797C2211yescharacteristic
178#16839797C2211yescharacteristic
179#16839787C2211yescharacteristic
180#16839787C2211yescharacteristic
181C4⋊C8×D61C2211yescharacteristic
182#16839769C2211yescharacteristic
183#16839769C2211yescharacteristic
184#16839757C2211yescharacteristic
185#16839757C2211yescharacteristic
186#103×D61C2211yescharacteristic
187#103×D61C2211yescharacteristic
188Q82×C61C2211yescharacteristic
189C61×#557C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#501C2211yescharacteristic
192C61×#498C2211yescharacteristic
193C61×#479C2211yescharacteristic
194C61×#479C2211yescharacteristic
195C61×#477C2211yescharacteristic
196C61×#475C2211yescharacteristic
197C61×#475C2211yescharacteristic
198C61×#475C2211yescharacteristic
199C61×#446C2211yescharacteristic
200C61×#441C2211yescharacteristic
201C61×#441C2211yescharacteristic
202C4×Q16×C61C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×Q8×D61C2311yescharacteristic
205C2×Q8×D61C2311yescharacteristic
206C2×#11758202C2311yescharacteristic
207C2×#11758202C2311yescharacteristic
208C2×#11758190C2311yescharacteristic
209C2×#11758190C2311yescharacteristic
210C2×#11758201C2311yescharacteristic
211C2×#11758201C2311yescharacteristic
212C2×D488C2311yescharacteristic
213C2×#11758189C2311yescharacteristic
214C2×#11758189C2311yescharacteristic
215C2×C8×D61C2311yescharacteristic
216C2×C8×D61C2311yescharacteristic
217C2×C8×D61C2311yescharacteristic
218C2×C8×D61C2311yescharacteristic
219#14519777—21no—
220#14519777C2311yescharacteristic
221#14519777C2311yescharacteristic
222#14519776—21no—
223#14519776C2311yescharacteristic
224#14519776C2311yescharacteristic
225#14519775—21no—
226#14519772—21no—
227#14519772—21no—
228#14519772—21no—
229#14519772—21no—
230#14519772—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#14519772D411yescharacteristic
240#14519772D411yescharacteristic
241#14519771—21no—
242#14519771—21no—
243#14519771—21no—
244#14519771—21no—
245#14519769C2311yescharacteristic
246#14519769C2311yescharacteristic
247#14519768—21no—
248#14519768D411yescharacteristic
249#14519768C2311yescharacteristic
250#14519767—21no—
251#14519767—21no—
252#14519767—21no—
253#14519767—21no—
254#14519766—21no—
255#14519766—21no—
256#14519766—21no—
257#14519766—21no—
258#14519766—21no—
259#14519766—21no—
260#14519766—21no—
261#14519766—21no—
262#14519766D411yescharacteristic
263#14519766C2311yescharacteristic
264#14519765—21no—
265#14519765—21no—
266#14519765—21no—
267#14519765—21no—
268#14519765—21no—
269#14519765C2311yescharacteristic
270#14519765C2311yescharacteristic
271#14519762—21no—
272#14519762—21no—
273#14519762—21no—
274#14519762—21no—
275#14519762—21no—
276#14519762—21no—
277#14519762—21no—
278#14519762—21no—
279#14519762—21no—
280#14519762D411yescharacteristic
281#14519762D411yescharacteristic
282#14519757—21no—
283#14519757—21no—
284#14519757—21no—
285#14519757—21no—
286#14519757—21no—
287#14519757C2311yescharacteristic
288#14519757C2311yescharacteristic
289#14519757C2311yescharacteristic
290#14519757C2311yescharacteristic
291#14519755—21no—
292#14519755—21no—
293#14519755—21no—
294#14519755—21no—
295#14519755—21no—
296#14519755—21no—
297#14519755—21no—
298#14519755—21no—
299#14519753—21no—
300#14519753—21no—
301#14519753—21no—
302#14519753—21no—
303#14519753—21no—
304#14519753—21no—
305#14519753D411yescharacteristic
306#14519753C2311yescharacteristic
307#14519753C2311yescharacteristic
308#14519753C2311yescharacteristic
309#14519752—21no—
310#14519752—21no—
311#14519752—21no—
312#14519752—21no—
313#14519752—21no—
314#14519752—21no—
315#14519752D411yescharacteristic
316#14519752C2311yescharacteristic
317#14519752C2311yescharacteristic
318#14519752C2311yescharacteristic
319#14519752C2311yescharacteristic
320#14519752C2311yescharacteristic
321Q8×Dic61—21no—
322Q8×Dic61—21no—
323Q8×Dic61—21no—
324Q8×Dic61C2311yescharacteristic
325C4×Dic122—21no—
326C4×Dic122—21no—
327C4×Dic122—21no—
328C4×Dic122C2311yescharacteristic
329C4×Dic122C2311yescharacteristic
330#14519742—21no—
331#14519742—21no—
332#14519742—21no—
333#14519742—21no—
334#14519742C2311yescharacteristic
335#14519742C2311yescharacteristic
336C4×D244—21no—
337C4×D244—21no—
338C4×D244—21no—
339C4×D244—21no—
340C4×D244—21no—
341C4×D244C2311yescharacteristic
342C4×D244C2311yescharacteristic
343C4×D244C2311yescharacteristic
344C4×D244C2311yescharacteristic
345C4×D244C2311yescharacteristic
346C4×D244C2311yescharacteristic
347C4×D244C2311yescharacteristic
348#14519739—21no—
349#14519739—21no—
350#14519739—21no—
351#14519739C2311yescharacteristic
352#14519735—21no—
353#14519735—21no—
354#14519735—21no—
355#14519735—21no—
356#14519735—21no—
357#14519735—21no—
358#14519735—21no—
359#14519735C2311yescharacteristic
360#14519735C2311yescharacteristic
361#14519735C2311yescharacteristic
362#14519735C2311yescharacteristic
363#14519735C2311yescharacteristic
364#14519735C2311yescharacteristic
365#14519735C2311yescharacteristic
366#14519734—21no—
367#14519734—21no—
368#14519734—21no—
369#14519734—21no—
370#14519734—21no—
371#14519734C2311yescharacteristic
372#14519734C2311yescharacteristic
373C4⋊C4×D61—21no—
374C4⋊C4×D61C2311yescharacteristic
375C4⋊C4×D61C2311yescharacteristic
376C42×D61—21no—
377C42×D61C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393C4⋊#92418C2311yescharacteristic
394C4⋊#92418C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519688C2311yescharacteristic
433#14519688C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C2×Q16×C61C2311yescharacteristic
436C4⋊Q8×C61—21no—
437C4⋊Q8×C61—21no—
438C4⋊Q8×C61—21no—
439C4⋊Q8×C61—21no—
440C4⋊Q8×C61C2311yescharacteristic
441C4⋊Q8×C61C2311yescharacteristic
442C4⋊Q8×C61C2311yescharacteristic
443C4⋊Q8×C61C2311yescharacteristic
444#125×C61—21no—
445#125×C61—21no—
446#125×C61C2311yescharacteristic
447#125×C61C2311yescharacteristic
448C4×Q8×C61—21no—
449C4×Q8×C61—21no—
450C4×Q8×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×Q8×C61C2311yescharacteristic
453C4×Q8×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×Q8×C61C2311yescharacteristic
457#107×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#106×C61C2311yescharacteristic
461#106×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61—21no—
482C2×Q8×C61C2×D411yescharacteristic
483C2×Q8×C61C2411yescharacteristic
484C2×Q8×C61C2411yescharacteristic
485#11758226—22no—
486#11758226—41no—
487Q8×D61—22no—
488Q8×D61—22no—
489Q8×D61—41no—
490Q8×D61—41no—
491C2×D244—21no—
492C2×D244—21no—
493C2×D244—21no—
494C2×D244—21no—
495C2×D244—21no—
496C2×D244—21no—
497C2×D244C2×D411yescharacteristic
498C2×D244C2×D411yescharacteristic
499C2×D244C2×D411yescharacteristic
500C2×D244C2411yescharacteristic
501C2×D244C2411yescharacteristic
502C2×C4×D61—21no—
503C2×C4×D61—21no—
504C2×C4×D61—21no—
505C2×C4×D61—21no—
506C2×C4×D61—21no—
507C2×C4×D61—21no—
508C2×C4×D61—21no—
509C2×C4×D61—21no—
510C2×C4×D61—21no—
511C2×C4×D61—21no—
512C2×C4×D61C2×D411yescharacteristic
513C2×C4×D61C2×D411yescharacteristic
514C2×C4×D61C2411yescharacteristic
515C2×C4×D61C2411yescharacteristic
516C2×C4×D61C2411yescharacteristic
517C2×Dic122—21no—
518C2×Dic122—21no—
519C2×Dic122—21no—
520C2×Dic122—21no—
521C2×Dic122—21no—
522C2×Dic122C2411yescharacteristic
523C2×Dic122C2411yescharacteristic
524Q16×C61—22no—
525C2×C8×C61C2411yescharacteristic
526C2×C8×C61C2411yescharacteristic
527C2×C8×C61C2411yescharacteristic
528C2×C8×C61C2411yescharacteristic
529C4⋊C4×C61—21no—
530C4⋊C4×C61—21no—
531C4⋊C4×C61—21no—
532C4⋊C4×C61—21no—
533C4⋊C4×C61—21no—
534C4⋊C4×C61—21no—
535C4⋊C4×C61—21no—
536C4⋊C4×C61—21no—
537C4⋊C4×C61—21no—
538C4⋊C4×C61—21no—
539C4⋊C4×C61—21no—
540C4⋊C4×C61—21no—
541C4⋊C4×C61—21no—
542C4⋊C4×C61—21no—
543C4⋊C4×C61C2×D411yescharacteristic
544C4⋊C4×C61C2×D411yescharacteristic
545C4⋊C4×C61C2×D411yescharacteristic
546C4⋊C4×C61C2411yescharacteristic
547C4⋊C4×C61C2411yescharacteristic
548C4⋊C4×C61C2411yescharacteristic
549C4⋊C4×C61C2411yescharacteristic
550C4⋊C4×C61C2411yescharacteristic
551C4⋊C4×C61C2411yescharacteristic
552C42×C61—21no—
553C42×C61—21no—
554C42×C61—21no—
555C42×C61—21no—
556C42×C61—21no—
557C42×C61—21no—
558C42×C61C2411yescharacteristic
559C42×C61C2411yescharacteristic
560C42×C61C2411yescharacteristic
561#11758202—41no—
562#11758202—41no—
563#11758201—22no—
564#11758201—41no—
565#11758198—21no—
566#11758198—21no—
567#11758198—21no—
568#11758198—21no—
569#11758198—21no—
570#11758198—21no—
571#11758198—21no—
572#11758198—21no—
573#11758198—21no—
574#11758198—21no—
575#11758198—21no—
576#11758198—21no—
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#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198C2×D411yescharacteristic
596#11758198C2×D411yescharacteristic
597#11758198C2×D411yescharacteristic
598#11758198C2×D411yescharacteristic
599#11758198C2×D411yescharacteristic
600#11758198C2×D411yescharacteristic
601#11758198C2×D411yescharacteristic
602#11758198C2×D411yescharacteristic
603#11758198C2×D411yescharacteristic
604#11758198C2×D411yescharacteristic
605C4⋊Dic61—21no—
606C4⋊Dic61—21no—
607C4⋊Dic61—21no—
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61C2×D411yescharacteristic
615C4⋊Dic61C2×D411yescharacteristic
616C4⋊Dic61C2×D411yescharacteristic
617C4⋊Dic61C2411yescharacteristic
618C4⋊Dic61C2411yescharacteristic
619C4⋊Dic61C2411yescharacteristic
620C4⋊Dic61C2411yescharacteristic
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#11758196C2×D411yescharacteristic
638#11758196C2×D411yescharacteristic
639#11758196C2×D411yescharacteristic
640#11758196C2×D411yescharacteristic
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×Dic61C2×D411yescharacteristic
654C4×Dic61C2×D411yescharacteristic
655C4×Dic61C2411yescharacteristic
656C2×#92418C2411yescharacteristic
657C2×#92418C2411yescharacteristic
658C2×#92418C2411yescharacteristic
659C2×#92418C2411yescharacteristic
660D488—41no—
661#11758190—41no—
662#11758190—41no—
663#11758189—41no—
664#11758189—41no—
665C8×D61—41no—
666C8×D61—41no—
667C8×D61—41no—
668C8×D61—41no—
669C22×D61—21no—
670C22×D61—21no—
671C22×D61C22×D411yescharacteristic
672C22×D61C22×D411yescharacteristic
673C22×D61C22×D411yescharacteristic
674Q8×C61—21no—
675Q8×C61—21no—
676Q8×C61—21no—
677Q8×C61—41no—
678Q8×C61—81no—
679Q8×C61—81no—
680Q8×C61—81no—
681Q8×C61—81no—
682Q8×C612−1+412yes—
683C2×C4×C61—21no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61C22×D411yescharacteristic
692C2×C4×C61C22×D411yescharacteristic
693C2×C4×C61C22×D411yescharacteristic
694C2×C4×C61C22×D411yescharacteristic
695C2×C4×C61C22×D411yescharacteristic
696C2×C4×C61C22×D411yescharacteristic
697C2×C4×C61C2511yescharacteristic
698C2×Dic61—21no—
699C2×Dic61—21no—
700C2×Dic61—21no—
701C2×Dic61—21no—
702C2×Dic61—21no—
703C2×Dic61—21no—
704C2×Dic61C22×D411yescharacteristic
705C2×Dic61C22×D411yescharacteristic
706C2×Dic61C22×D411yescharacteristic
707C2×Dic61C22×D411yescharacteristic
708C2×Dic61C22×D411yescharacteristic
709D244—21no—
710D244—21no—
711D244—21no—
712D244—21no—
713D244—41no—
714D244—41no—
715D244—41no—
716D244—42no—
717D244—81no—
718D244—81no—
719D244—81no—
720D244—81no—
721D244—81no—
722C4×D61—21no—
723C4×D61—21no—
724C4×D61—21no—
725C4×D61—21no—
726C4×D61—21no—
727C4×D61—21no—
728C4×D61—41no—
729C4×D61—41no—
730C4×D61—42no—
731C4×D61—42no—
732C4×D61—42no—
733C4×D61—42no—
734C4×D61—81no—
735C4×D61—81no—
736C4×D61—81no—
737C4×D61—81no—
738C4×D61—81no—
739C4×D61—81no—
740Dic122—21no—
741Dic122—21no—
742Dic122—21no—
743Dic122—21no—
744Dic122—42no—
745Dic122—42no—
746Dic122—81no—
747Dic122—81no—
748Dic122—81no—
749C8×C61—21no—
750C8×C61—21no—
751C8×C61—21no—
752C8×C61—21no—
753#92418—21no—
754#92418—21no—
755#92418—21no—
756#92418—21no—
757#62161—611nomaximal, Sylow
758C22×C61C23×D411yescharacteristic
759C2×D61—21no—
760C2×D61—21no—
761C2×D61—21no—
762C2×D61—21no—
763C2×D61—21no—
764C2×D61—21no—
765C2×D61—21no—
766C2×D61—21no—
767C2×D61—21no—
768C2×D61—41no—
769C2×D61—41no—
770C2×D61—41no—
771C2×D61—41no—
772C2×D61—41no—
773C2×D61—41no—
774C4×C61—21no—
775C4×C61—21no—
776C4×C61—21no—
777C4×C61—21no—
778C4×C61—21no—
779C4×C61—21no—
780C4×C61—22no—
781C4×C61—41no—
782C4×C61—41no—
783C4×C61—41no—
784C4×C61—41no—
785C4×C61—41no—
786C4×C61—41no—
787C4×C61—41no—
788C4×C61C2×2−1+411yescharacteristic
789C4×C61#58511yescharacteristic
790Dic61—21no—
791Dic61—21no—
792Dic61—21no—
793Dic61—21no—
794Dic61—21no—
795Dic61—41no—
796Dic61—41no—
797Dic61—41no—
798Dic61—41no—
799Dic61—41no—
800Dic61—41no—
801#3565—611no—
802#3518—611no—
803#3387D6111yescharacteristic, complemented
804#3385—611no—
805#3377—611no—
806#3376—611no—
807#3350—611no—
808#3349—611no—
809#3348—611no—
810#3347—611no—
811#3342—611no—
812#3340—611no—
813#3321—611no—
814#3320—611no—
815#3313—611no—
816#3312—611no—
817#3301—611no—
818#3300—611no—
819#3263—611no—
820#3262—611no—
821#3248—611no—
822#3244—611no—
823#3243—611no—
824#3237—611no—
825#3121—611no—
826#3121—611no—
827#3111—611no—
828#3082—611no—
829#3082—611no—
830#3076—611no—
831#2992—611no—
832C2×C61#348911yescharacteristic
833C2×C61#358411yescharacteristic
834C2×C61#358611yescharacteristic
835D61—41no—
836D61—41no—
837D61—41no—
838D61—81no—
839D61—81no—
840#563—1221no—
841#562—1221no—
842Q82C2×D6111yescharacteristic
843#557C2×D6111yescharacteristic
844#556—611no—
845#556—611no—
846#556—611no—
847#556—611no—
848#556—1221no—
849#556—1221no—
850#556—1221no—
851#556—1221no—
852#555—611no—
853#555—611no—
854#555—1221no—
855#554—611no—
856#553—611no—
857#553—611no—
858#552—611no—
859#552—611no—
860#552—1221no—
861D4×Q8—611no—
862#548—611no—
863#548—611no—
864#544—611no—
865#544—611no—
866#542—611no—
867#542—611no—
868#542—611no—
869#542—611no—
870#542—1221no—
871#542—1221no—
872#542—1221no—
873#542—1221no—
874#541—1221no—
875#539—1221no—
876#533—611no—
877#533—611no—
878#533—1221no—
879#529—611no—
880#529—611no—
881#529—1221no—
882#519—611no—
883#519—611no—
884C4×#41—611no—
885#501—611no—
886#501—611no—
887#501C2×D6111yescharacteristic
888#501C2×D6111yescharacteristic
889#500—611no—
890#498C2×D6111yescharacteristic
891#491—611no—
892#491—611no—
893#489—611no—
894#489—611no—
895#488—611no—
896#488—611no—
897#485—611no—
898#485—611no—
899#485—611no—
900#485—611no—
901#485—611no—
902#485—611no—
903#485—611no—
904#485—611no—
905#485—611no—
906#484—611no—
907#483—611no—
908#482—611no—
909#482—611no—
910#482—611no—
911#482—611no—
912#482—611no—
913#481—611no—
914#480—611no—
915#479—611no—
916#479—611no—
917#479—611no—
918#479—611no—
919#479—611no—
920#479—611no—
921#479—611no—
922#479C2×D6111yescharacteristic
923#479C2×D6111yescharacteristic
924#478—611no—
925#478—611no—
926#478—611no—
927#477—611no—
928#477—611no—
929#477—611no—
930#477—611no—
931#477—611no—
932#477C2×D6111yescharacteristic
933#476—611no—
934#476—611no—
935#475—611no—
936#475—611no—
937#475—611no—
938#475—611no—
939#475C2×D6111yescharacteristic
940#475C2×D6111yescharacteristic
941#475C2×D6111yescharacteristic
942#474—611no—
943#474—611no—
944#474—611no—
945#470—611no—
946#469—611no—
947#468—611no—
948#468—611no—
949#467—611no—
950#467—611no—
951#467—611no—
952#466—611no—
953#465—611no—
954#465—611no—
955#465—611no—
956#465—611no—
957#464—611no—
958#464—611no—
959#464—611no—
960#464—611no—
961#464—611no—
962#463—611no—
963#463—611no—
964#463—611no—
965#462—611no—
966#461—611no—
967#452—611no—
968#451—611no—
969#451—611no—
970#449—611no—
971#448—611no—
972#448—611no—
973#446—611no—
974#446C2×D6111yescharacteristic
975#442—611no—
976#441—611no—
977#441C2×D6111yescharacteristic
978#441C2×D6111yescharacteristic
979#440—611no—
980#440—611no—
981#440—611no—
982#440—611no—
983C4×Q16—611no—
984C4×Q16C2×D6111yescharacteristic
985C4×SD16—611no—
986C4×SD16—611no—
987#435—611no—
988#435—611no—
989#435—611no—
990#435—611no—
991C8×D4—611no—
992C8×D4—611no—
993#433—611no—
994#433—611no—
995#432—611no—
996#428—611no—
997#428—611no—
998#427—611no—
999#427—611no—
1000#427—611no—
1001#427—611no—
1002#424—611no—
1003#424—611no—
1004C2×C4⋊C8—611no—
1005#419—611no—
1006#419—611no—
1007#416—611no—
1008#416—611no—
1009C2×#103—611no—
1010C2×#103—611no—
1011C61#6216111yescharacteristic, complemented, Sylow
1012C2×#41—611no—
1013C22×Q8—611no—
1014C22×Q8—611no—
1015C2×Q16—611no—
1016C2×Q16—611no—
1017C2×Q16C22×D6111yescharacteristic
1018C2×SD16—611no—
1019C2×SD16—611no—
1020C2×SD16—611no—
1021C2×SD16—611no—
1022C2×D8—611no—
1023C2×M16—611no—
1024C2×M16—611no—
1025C22×C8—611no—
1026C22×C8—611no—
1027C22×C8—611no—
1028C22×C8—611no—
1029C4⋊Q8—21no—
1030C4⋊Q8—21no—
1031C4⋊Q8—21no—
1032C4⋊Q8—21no—
1033C4⋊Q8—611no—
1034C4⋊Q8—611no—
1035C4⋊Q8—611no—
1036C4⋊Q8—611no—
1037C4⋊Q8—1221no—
1038C4⋊Q8—1221no—
1039C4⋊Q8—1221no—
1040C4⋊Q8C22×D6111yescharacteristic
1041C4⋊Q8C22×D6111yescharacteristic
1042C4⋊Q8C22×D6111yescharacteristic
1043C4⋊Q8C22×D6111yescharacteristic
1044#126—611no—
1045#126—611no—
1046#126—1221no—
1047#126—1221no—
1048#126—1221no—
1049#126—1221no—
1050#126—1221no—
1051#126—1221no—
1052#126—1221no—
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#125—21no—
1064#125—21no—
1065#125—611no—
1066#125—611no—
1067#125—611no—
1068#125—611no—
1069#125—1221no—
1070#125—1221no—
1071#125—1221no—
1072#125—1221no—
1073#125—1221no—
1074#125C22×D6111yescharacteristic
1075#125C22×D6111yescharacteristic
1076#124—611no—
1077#124—611no—
1078#124—611no—
1079#124—611no—
1080#124—1221no—
1081#124—1221no—
1082#124—1221no—
1083#124—1221no—
1084#124—1221no—
1085#124—1221no—
1086#124—1221no—
1087#124—1221no—
1088#124—1221no—
1089#124—1221no—
1090#124—1221no—
1091#124—1221no—
1092#124—1221no—
1093#123—611no—
1094#123—611no—
1095#123—1221no—
1096#123—1221no—
1097#123—1221no—
1098#123—1221no—
1099#123—1221no—
1100#123—1221no—
1101#123—1221no—
1102#123—1221no—
1103#123—1221no—
1104C22⋊Q8—611no—
1105C22⋊Q8—611no—
1106C22⋊Q8—611no—
1107C22⋊Q8—611no—
1108C22⋊Q8—611no—
1109C22⋊Q8—611no—
1110C22⋊Q8—611no—
1111C22⋊Q8—611no—
1112C22⋊Q8—1221no—
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—
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—
1131#121—611no—
1132#121—611no—
1133#121—611no—
1134#121—611no—
1135#121—611no—
1136#121—611no—
1137#121—1221no—
1138#121—1221no—
1139#121—1221no—
1140#121—1221no—
1141#121—1221no—
1142#121—1221no—
1143C4×Q8—21no—
1144C4×Q8—21no—
1145C4×Q8—611no—
1146C4×Q8—611no—
1147C4×Q8—611no—
1148C4×Q8—611no—
1149C4×Q8—611no—
1150C4×Q8—1221no—
1151C4×Q8—1221no—
1152C4×Q8—1221no—
1153C4×Q8—1221no—
1154C4×Q8—1221no—
1155C4×Q8—1221no—
1156C4×Q8—1221no—
1157C4×Q8—1221no—
1158C4×Q8—1221no—
1159C4×Q8—1221no—
1160C4×Q8C22×D6111yescharacteristic
1161C4×Q8C22×D6111yescharacteristic
1162C4×Q8C22×D6111yescharacteristic
1163C4×Q8C22×D6111yescharacteristic
1164C4×Q8C22×D6111yescharacteristic
1165C4×Q8C22×D6111yescharacteristic
1166C4×Q8C22×D6111yescharacteristic
1167C4×D4—611no—
1168C4×D4—611no—
1169C4×D4—611no—
1170C4×D4—611no—
1171C4×D4—611no—
1172C4×D4—611no—
1173C4×D4—611no—
1174C4×D4—611no—
1175C4×D4—1221no—
1176C4×D4—1221no—
1177C4×D4—1221no—
1178C4×D4—1221no—
1179C4×D4—1221no—
1180C4×D4—1221no—
1181C4×D4—1221no—
1182C4×D4—1221no—
1183#117—611no—
1184#117—611no—
1185#117—611no—
1186#117—611no—
1187#117—611no—
1188#117—611no—
1189#117—611no—
1190#117—611no—
1191#117—611no—
1192#117—1221no—
1193#117—1221no—
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—
1204C2×C4⋊C4—611no—
1205C2×C4⋊C4—611no—
1206C2×C4⋊C4—1221no—
1207C2×C42—611no—
1208C2×C42—1221no—
1209#107—611no—
1210#107—611no—
1211#107—611no—
1212#107—611no—
1213#107—611no—
1214#107—611no—
1215#107—611no—
1216#107—611no—
1217#107—611no—
1218#107C22×D6111yescharacteristic
1219#107C22×D6111yescharacteristic
1220#107C22×D6111yescharacteristic
1221#106—611no—
1222#106—611no—
1223#106—611no—
1224#106—611no—
1225#106—611no—
1226#106—611no—
1227#106C22×D6111yescharacteristic
1228#106C22×D6111yescharacteristic
1229#106C22×D6111yescharacteristic
1230#106C22×D6111yescharacteristic
1231#106C22×D6111yescharacteristic
1232#106C22×D6111yescharacteristic
1233C4⋊C8—611no—
1234C4⋊C8—611no—
1235C4⋊C8—611no—
1236C4⋊C8—611no—
1237C4⋊C8—611no—
1238C4⋊C8—611no—
1239C4⋊C8—611no—
1240C4⋊C8C22×D6111yescharacteristic
1241C4⋊C8C22×D6111yescharacteristic
1242C4⋊C8C22×D6111yescharacteristic
1243#103—611no—
1244#103—611no—
1245#103—611no—
1246#103—611no—
1247#103—611no—
1248#103—611no—
1249#103—611no—
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#103C22×D6111yescharacteristic
1260#103C22×D6111yescharacteristic
1261#103C22×D6111yescharacteristic
1262#103C22×D6111yescharacteristic
1263#103C22×D6111yescharacteristic
1264#103C22×D6111yescharacteristic
1265#102—611no—
1266#102—611no—
1267#102—611no—
1268#102—611no—
1269#102—611no—
1270#102—611no—
1271#102—611no—
1272#102—611no—
1273#102—611no—
1274#102—611no—
1275C22⋊C8—611no—
1276C22⋊C8—611no—
1277C22⋊C8—611no—
1278C22⋊C8—611no—
1279C22⋊C8—611no—
1280C22⋊C8—611no—
1281#97—611no—
1282#97—611no—
1283#97C22×D6111yescharacteristic
1284#97C22×D6111yescharacteristic
1285C4×C8—611no—
1286C4×C8C22×D6111yescharacteristic
1287#41—1222no—
1288#41—2441no—
1289C2×Q8—21no—
1290C2×Q8—21no—
1291C2×Q8—21no—
1292C2×Q8—21no—
1293C2×Q8—611no—
1294C2×Q8—611no—
1295C2×Q8—1221no—
1296C2×Q8—1221no—
1297C2×Q8—1221no—
1298C2×Q8—1221no—
1299C2×Q8—1221no—
1300C2×Q8—1222no—
1301C2×Q8—1222no—
1302C2×Q8—2441no—
1303C2×Q8—2441no—
1304C2×Q8D4×D6111yescharacteristic
1305C2×Q8C23×D6111yescharacteristic
1306C2×Q8C23×D6111yescharacteristic
1307C2×D4—611no—
1308C2×D4—611no—
1309C2×D4—611no—
1310C2×D4—611no—
1311C2×D4—611no—
1312C2×D4—1221no—
1313C2×D4—1221no—
1314C2×D4—1221no—
1315C2×D4—1221no—
1316C2×D4—1221no—
1317C2×D4—1221no—
1318C22×C4—611no—
1319C22×C4—611no—
1320C22×C4—611no—
1321C22×C4—611no—
1322C22×C4—611no—
1323C22×C4—1221no—
1324C22×C4—1221no—
1325C22×C4—1221no—
1326C22×C4—1221no—
1327C22×C4—1221no—
1328C22×C4—1221no—
1329C22×C4—1221no—
1330C22×C4—1221no—
1331C22×C4—1221no—
1332C22×C4—1221no—
1333Q16—22no—
1334Q16—2441no—
1335Q16—2441no—
1336SD16—1222no—
1337SD16—2441no—
1338SD16—2441no—
1339SD16—2441no—
1340D8—2441no—
1341M16—2441no—
1342M16—2441no—
1343C2×C8—611no—
1344C2×C8—611no—
1345C2×C8—611no—
1346C2×C8—611no—
1347C2×C8—2441no—
1348C2×C8—2441no—
1349C2×C8—2441no—
1350C2×C8—2441no—
1351C2×C8C23×D6111yescharacteristic
1352C2×C8C23×D6111yescharacteristic
1353C2×C8C23×D6111yescharacteristic
1354C2×C8C23×D6111yescharacteristic
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—21no—
1367C4⋊C4—21no—
1368C4⋊C4—21no—
1369C4⋊C4—611no—
1370C4⋊C4—611no—
1371C4⋊C4—611no—
1372C4⋊C4—611no—
1373C4⋊C4—611no—
1374C4⋊C4—611no—
1375C4⋊C4—611no—
1376C4⋊C4—611no—
1377C4⋊C4—611no—
1378C4⋊C4—611no—
1379C4⋊C4—611no—
1380C4⋊C4—1221no—
1381C4⋊C4—1221no—
1382C4⋊C4—1221no—
1383C4⋊C4—1221no—
1384C4⋊C4—1221no—
1385C4⋊C4—1221no—
1386C4⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1406C4⋊C4D4×D6111yescharacteristic
1407C4⋊C4D4×D6111yescharacteristic
1408C4⋊C4C23×D6111yescharacteristic
1409C4⋊C4C23×D6111yescharacteristic
1410C4⋊C4C23×D6111yescharacteristic
1411C4⋊C4C23×D6111yescharacteristic
1412C4⋊C4C23×D6111yescharacteristic
1413C4⋊C4C23×D6111yescharacteristic
1414C22⋊C4—611no—
1415C22⋊C4—611no—
1416C22⋊C4—611no—
1417C22⋊C4—611no—
1418C22⋊C4—611no—
1419C22⋊C4—611no—
1420C22⋊C4—611no—
1421C22⋊C4—611no—
1422C22⋊C4—611no—
1423C22⋊C4—611no—
1424C22⋊C4—1221no—
1425C22⋊C4—1221no—
1426C22⋊C4—1221no—
1427C22⋊C4—1221no—
1428C22⋊C4—1221no—
1429C22⋊C4—1221no—
1430C22⋊C4—1221no—
1431C22⋊C4—1221no—
1432C22⋊C4—1221no—
1433C22⋊C4—1221no—
1434C22⋊C4—1221no—
1435C22⋊C4—1221no—
1436C22⋊C4—1221no—
1437C22⋊C4—1221no—
1438C22⋊C4—1221no—
1439C22⋊C4—1221no—
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—
1454C42—21no—
1455C42—21no—
1456C42—21no—
1457C42—21no—
1458C42—21no—
1459C42—21no—
1460C42—611no—
1461C42—611no—
1462C42—611no—
1463C42—1221no—
1464C42—1221no—
1465C42—1221no—
1466C42—1221no—
1467C42—1221no—
1468C42—1221no—
1469C42—1221no—
1470C42—1221no—
1471C42—1221no—
1472C42—1221no—
1473C42—1221no—
1474C42—1221no—
1475C42C23×D6111yescharacteristic
1476C42C23×D6111yescharacteristic
1477C42C23×D6111yescharacteristic
1478C23—611no—
1479C23—611no—
1480C23—611no—
1481C23—1221no—
1482C23—1221no—
1483Q8—21no—
1484Q8—21no—
1485Q8—21no—
1486Q8—41no—
1487Q8—81no—
1488Q8—81no—
1489Q8—81no—
1490Q8—81no—
1491Q8—1221no—
1492Q8—1221no—
1493Q8—1221no—
1494Q8—1221no—
1495Q8—4881no—
1496Q8—4881no—
1497Q8—4881no—
1498Q8—2442no—
1499Q8—2442no—
1500Q8#1451982512yes—
1501D4—1221no—
1502D4—1221no—
1503D4—1221no—
1504D4—1221no—
1505D4—4881no—
1506D4—4881no—
1507D4—4881no—
1508D4—4881no—
1509D4—4881no—
1510D4—2441no—
1511D4—2441no—
1512D4—2441no—
1513D4—2442no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—611no—
1523C2×C4—611no—
1524C2×C4—611no—
1525C2×C4—611no—
1526C2×C4—611no—
1527C2×C4—1221no—
1528C2×C4—1221no—
1529C2×C4—1221no—
1530C2×C4—1221no—
1531C2×C4—1221no—
1532C2×C4—1221no—
1533C2×C4—1221no—
1534C2×C4—1221no—
1535C2×C4—1221no—
1536C2×C4—1221no—
1537C2×C4—1221no—
1538C2×C4—1221no—
1539C2×C4—4881no—
1540C2×C4—4881no—
1541C2×C4—4881no—
1542C2×C4—4881no—
1543C2×C4—4881no—
1544C2×C4—4881no—
1545C2×C4—2441no—
1546C2×C4—2441no—
1547C2×C4—2442no—
1548C2×C4—2442no—
1549C2×C4—2442no—
1550C2×C4—2442no—
1551C2×C4C2×D4×D6111yescharacteristic
1552C2×C4C2×D4×D6111yescharacteristic
1553C2×C4C2×D4×D6111yescharacteristic
1554C2×C4C2×D4×D6111yescharacteristic
1555C2×C4C2×D4×D6111yescharacteristic
1556C2×C4C2×D4×D6111yescharacteristic
1557C2×C4C24×D6111yescharacteristic
1558C8—21no—
1559C8—21no—
1560C8—21no—
1561C8—21no—
1562C8—1221no—
1563C8—1221no—
1564C8—1221no—
1565C8—1221no—
1566C22—1221no—
1567C22—1221no—
1568C22—1221no—
1569C22—1221no—
1570C22—1221no—
1571C22—1221no—
1572C22—1221no—
1573C22—1221no—
1574C22—1221no—
1575C22—2441no—
1576C22—2441no—
1577C22—2441no—
1578C22—2441no—
1579C22—2441no—
1580C22—2441no—
1581C22C22×D4×D6111yescharacteristic
1582C4—22no—
1583C4—21no—
1584C4—21no—
1585C4—21no—
1586C4—21no—
1587C4—21no—
1588C4—21no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—1221no—
1597C4—1221no—
1598C4—1221no—
1599C4—1221no—
1600C4—1221no—
1601C4—2441no—
1602C4—2441no—
1603C4—2441no—
1604C4—2441no—
1605C4—2441no—
1606C4—2441no—
1607C4C2×#1451982511yescharacteristic
1608C4#1684059911yescharacteristic
1609C2—4881no—
1610C2—4881no—
1611C2—2441no—
1612C2—2441no—
1613C2—2441no—
1614C2#2145949611yescharacteristic
1615C2#2146059111yescharacteristic
1616C2#2146060211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3387C2
socleC22×C61C23×D4
hypercenter#3387D61
hypocenterC61#62161
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3387

Complements

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

NH ≅ G/Ntype
1. #21460471C2semidirect
2. #21459837C2semidirect
3. #21458725C2semidirect
4. #21458661C2semidirect
5. #21458648C2semidirect
6. #21458363C2semidirect
7. #21458346C2semidirect
8. #21458341C2semidirect
9. #21458318C2semidirect
10. #21458248C2semidirect
11. #21458231C2semidirect
12. #21458002C2semidirect
13. #21457987C2semidirect
14. #21457890C2semidirect
15. #21457875C2semidirect
16. #21457718C2semidirect
17. #21457711C2semidirect
18. #21457288C2semidirect
19. #21457282C2semidirect
20. #21457159C2semidirect
21. #21457120C2semidirect
22. #21457103C2semidirect
23. #21457034C2semidirect
24. #21456054C2semidirect
25. #21456052C2semidirect
26. #21455934C2semidirect
27. #21455658C2semidirect
28. #21455654C2semidirect
29. #21455606C2semidirect
30. #21454957C2semidirect
31. C61×#3387C2semidirect
803. #3387D61semidirect
1011. C61#62161semidirect

Maximal subgroups

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

subgroupindex
#214604712
#214598372
#214587252
#214586612
#214586482
#214583632
#214583462
#214583412
#214583182
#214582482
#214582312
#214580022
#214579872
#214578902
#214578752
#214577182
#214577112
#214572882
#214572822
#214571592
#214571202
#214571032
#214570342
#214560542
#214560522
#214559342
#214556582
#214556542
#214556062
#214549572
C61×#33872
#6216161