Finite Group Databasebeta

← #30573481

Subgroups — #30573481

Order 15616.

1790 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460405C211yesmaximal, characteristic, complemented
2#21459837C211yesmaximal, characteristic, complemented
3#21458900C211yesmaximal, characteristic, complemented
4#21458879C211yesmaximal, characteristic, complemented
5#21458559C211yesmaximal, characteristic, complemented
6#21458004C211yesmaximal, characteristic, complemented
7#21457972C211yesmaximal, characteristic, complemented
8#21457882C211yesmaximal, characteristic, complemented
9#21457854C211yesmaximal, characteristic, complemented
10#21457757C211yesmaximal, characteristic, complemented
11#21457733C211yesmaximal, characteristic, complemented
12#21457561C211yesmaximal, characteristic, complemented
13#21457521C211yesmaximal, characteristic, complemented
14#21457399C211yesmaximal, characteristic, complemented
15#21457384C211yesmaximal, characteristic, complemented
16#21457376C211yesmaximal, characteristic, complemented
17#21457331C211yesmaximal, characteristic, complemented
18#21457244C211yesmaximal, characteristic, complemented
19#21457237C211yesmaximal, characteristic, complemented
20#21457158C211yesmaximal, characteristic, complemented
21#21456929C211yesmaximal, characteristic, complemented
22#21456916C211yesmaximal, characteristic, complemented
23#21456831C211yesmaximal, characteristic, complemented
24#21456116C211yesmaximal, characteristic, complemented
25#21456109C211yesmaximal, characteristic, complemented
26#21455926C211yesmaximal, characteristic, complemented
27#21455347C211yesmaximal, characteristic, complemented
28#21455335C211yesmaximal, characteristic, complemented
29#21455273C211yesmaximal, characteristic, complemented
30#21454957C211yesmaximal, characteristic, complemented
31C61×#3375C211yesmaximal, characteristic, complemented
32C2×#14519806C2211yescharacteristic
33C2×#14519806C2211yescharacteristic
34C2×#14519800C2211yescharacteristic
35C2×#14519798C2211yescharacteristic, complemented
36C2×Q16×D61C2211yescharacteristic, complemented
37C2×SD16×D61C2211yescharacteristic
38#16840506—21no—
39#16840502—21no—
40#16840486—21no—
41#16840486—21no—
42#16840486C2211yescharacteristic
43#16840486C2211yescharacteristic, complemented
44#16840485—21no—
45#16840485C2211yescharacteristic
46#16840485C2211yescharacteristic, complemented
47#16840478—21no—
48#16840478C2211yescharacteristic
49#16840458—21no—
50#16840435—21no—
51#16840432C2211yescharacteristic
52Q8×D244C2211yescharacteristic
53#16840424C2211yescharacteristic
54#16840424C2211yescharacteristic
55#16840424C2211yescharacteristic, complemented
56#16840420C2211yescharacteristic
57#16840416C2211yescharacteristic
58#16840407C2211yescharacteristic
59#16840405C2211yescharacteristic
60#16840386—21no—
61#16840386—21no—
62#16840386C2211yescharacteristic
63#16840386C2211yescharacteristic, complemented
64#16840370C2211yescharacteristic
65#16840364—21no—
66#16840363C2211yescharacteristic
67#16840356—21no—
68#16840346—21no—
69#16840345—21no—
70#16840332C2211yescharacteristic
71#16840325C2211yescharacteristic
72#16840317—21no—
73#16840317C2211yescharacteristic, complemented
74#16840311C2211yescharacteristic
75#16840299—21no—
76#16840299C2211yescharacteristic
77#16840294C2211yescharacteristic
78#16840238C2211yescharacteristic
79#16840238C2211yescharacteristic, complemented
80C4×#11758226C2211yescharacteristic, complemented
81#16840157C2211yescharacteristic, complemented
82#16840156C2211yescharacteristic
83#16840156C2211yescharacteristic, complemented
84#16840149C2211yescharacteristic
85#16840146C2211yescharacteristic
86#16840144C2211yescharacteristic
87#16840124C2211yescharacteristic
88#16840124C2211yescharacteristic
89#16840114C2211yescharacteristic, complemented
90#16840105C2211yescharacteristic
91#16840105C2211yescharacteristic, complemented
92#16840102C2211yescharacteristic
93#16840089C2211yescharacteristic
94#16840084C2211yescharacteristic
95#16840084C2211yescharacteristic, complemented
96#16840071C2211yescharacteristic, complemented
97#16840068C2211yescharacteristic, complemented
98#16840068C2211yescharacteristic, complemented
99#16840065C2211yescharacteristic, complemented
100#16840049C2211yescharacteristic
101#16840044C2211yescharacteristic, complemented
102#16840044C2211yescharacteristic, complemented
103#16840019C2211yescharacteristic
104#16840014C2211yescharacteristic, complemented
105#16840009C2211yescharacteristic
106#16840009C2211yescharacteristic
107#16840004C2211yescharacteristic
108#16840004C2211yescharacteristic, complemented
109#16840004C2211yescharacteristic, complemented
110#16839999C2211yescharacteristic
111#16839994C2211yescharacteristic
112#16839990C2211yescharacteristic
113#16839990C2211yescharacteristic
114#16839990C2211yescharacteristic, complemented
115#16839985C2211yescharacteristic
116#16839985C2211yescharacteristic, complemented
117#16839984C2211yescharacteristic
118#16839984C2211yescharacteristic
119#16839984C2211yescharacteristic, complemented
120#16839983C2211yescharacteristic
121#16839983C2211yescharacteristic
122#16839982C2211yescharacteristic
123#16839981C2211yescharacteristic
124#16839978C2211yescharacteristic
125#16839978C2211yescharacteristic
126#16839977C2211yescharacteristic, complemented
127#16839976C2211yescharacteristic
128#16839974C2211yescharacteristic, complemented
129#16839973C2211yescharacteristic, complemented
130#16839973C2211yescharacteristic, complemented
131#16839972C2211yescharacteristic, complemented
132#16839971C2211yescharacteristic, complemented
133#16839971C2211yescharacteristic, complemented
134#16839970C2211yescharacteristic, complemented
135#16839967C2211yescharacteristic
136#16839966C2211yescharacteristic, complemented
137#16839961C2211yescharacteristic
138#16839961C2211yescharacteristic
139#16839960C2211yescharacteristic
140#16839959C2211yescharacteristic
141#16839956C2211yescharacteristic
142#16839927C2211yescharacteristic
143#16839927C2211yescharacteristic
144#16839927C2211yescharacteristic, complemented
145#16839925C2211yescharacteristic
146#16839925C2211yescharacteristic
147#16839925C2211yescharacteristic, complemented
148#16839925C2211yescharacteristic, complemented
149#16839919C2211yescharacteristic
150#16839919C2211yescharacteristic, complemented
151#16839916C2211yescharacteristic
152#16839914C2211yescharacteristic
153#16839908C2211yescharacteristic
154#16839908C2211yescharacteristic
155#16839906C2211yescharacteristic
156#16839902C2211yescharacteristic
157#16839902C2211yescharacteristic, complemented
158#16839899C2211yescharacteristic, complemented
159#16839897C2211yescharacteristic
160#16839893C2211yescharacteristic, complemented
161#16839872C2211yescharacteristic
162#16839867C2211yescharacteristic, complemented
163#16839867C2211yescharacteristic, complemented
164#16839867C2211yescharacteristic, complemented
165#16839864C2211yescharacteristic
166#16839864C2211yescharacteristic, complemented
167C4×Dic244C2211yescharacteristic, complemented
168C4×#11758201C2211yescharacteristic
169C4×#11758200C2211yescharacteristic, complemented
170#16839835C2211yescharacteristic
171#16839835C2211yescharacteristic
172#16839832C2211yescharacteristic
173#16839832C2211yescharacteristic, complemented
174C8×D244C2211yescharacteristic, complemented
175#16839827C2211yescharacteristic
176#16839824C2211yescharacteristic, complemented
177#16839821C2211yescharacteristic
178#16839817C2211yescharacteristic, complemented
179#16839787C2211yescharacteristic
180#16839787C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839769C2211yescharacteristic, complemented
183#16839765C2211yescharacteristic
184#16839757C2211yescharacteristic
185#16839755C2211yescharacteristic
186#16839755C2211yescharacteristic
187#16839755C2211yescharacteristic, complemented
188C61×#559C2211yescharacteristic
189Q82×C61C2211yescharacteristic, complemented
190C61×#489C2211yescharacteristic
191C61×#489C2211yescharacteristic, complemented
192C61×#486C2211yescharacteristic
193C61×#477C2211yescharacteristic, complemented
194C61×#474C2211yescharacteristic
195C61×#474C2211yescharacteristic, complemented
196C61×#464C2211yescharacteristic
197C61×#464C2211yescharacteristic, complemented
198C61×#460C2211yescharacteristic
199C61×#446C2211yescharacteristic, complemented
200C61×#440C2211yescharacteristic
201C61×#440C2211yescharacteristic, complemented
202C4×Q16×C61C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758224C2311yescharacteristic
206C2×#11758224C2311yescharacteristic
207C2×#11758224C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209C2×Q8×D61C2311yescharacteristic
210C2×Q8×D61C2311yescharacteristic
211C2×D4×D61C2311yescharacteristic
212#14519806—42no—
213#14519806—42no—
214#14519800—42no—
215#14519798—42no—
216C2×Dic244C2311yescharacteristic
217C2×Dic244C2311yescharacteristic
218C2×Dic244C2311yescharacteristic
219C2×Dic244C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758202C2311yescharacteristic
223C2×#11758202C2311yescharacteristic
224Q16×D61—42no—
225C2×#11758190C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758190C2311yescharacteristic
228C2×#11758190C2311yescharacteristic
229C2×#11758200C2311yescharacteristic
230C2×#11758200C2311yescharacteristic
231C2×#11758200C2311yescharacteristic
232C2×#11758200C2311yescharacteristic
233C2×#11758201C2311yescharacteristic
234C2×#11758201C2311yescharacteristic
235SD16×D61—42no—
236C2×D488C2311yescharacteristic
237C2×#11758199C2311yescharacteristic
238C2×#11758199C2311yescharacteristic
239C2×#11758189C2311yescharacteristic
240C2×#11758189C2311yescharacteristic
241C2×C8×D61C2311yescharacteristic
242C2×C8×D61C2311yescharacteristic
243C2×C8×D61C2311yescharacteristic
244C2×C8×D61C2311yescharacteristic
245#14519777—21no—
246#14519777C2311yescharacteristic
247#14519777C2311yescharacteristic
248#14519775C2311yescharacteristic
249#14519773—21no—
250#14519773C2311yescharacteristic
251#14519772—21no—
252#14519772—21no—
253#14519772—21no—
254#14519772—21no—
255#14519772—21no—
256#14519772—21no—
257#14519772—21no—
258#14519772—21no—
259#14519772—21no—
260#14519772—21no—
261#14519772—21no—
262#14519772D411yescharacteristic
263#14519772D411yescharacteristic
264#14519771—21no—
265#14519770—21no—
266#14519769—21no—
267#14519768—21no—
268#14519768D411yescharacteristic
269#14519768C2311yescharacteristic
270#14519767—21no—
271#14519766—21no—
272#14519766—21no—
273#14519766—21no—
274#14519766—21no—
275#14519766—21no—
276#14519766—21no—
277#14519766D411yescharacteristic
278#14519765—21no—
279#14519765—21no—
280#14519765—21no—
281#14519765C2311yescharacteristic
282#14519765C2311yescharacteristic
283#14519765C2311yescharacteristic
284#14519765C2311yescharacteristic
285#14519764C2311yescharacteristic
286#14519763—21no—
287#14519762—21no—
288#14519762—21no—
289#14519762D411yescharacteristic
290#14519762D411yescharacteristic
291#14519761—21no—
292#14519761—21no—
293#14519761—21no—
294#14519760—21no—
295#14519759—21no—
296#14519759—21no—
297#14519759—21no—
298#14519759—21no—
299#14519759—21no—
300#14519757—21no—
301#14519757—21no—
302#14519757—21no—
303#14519757—21no—
304#14519757—21no—
305#14519757C2311yescharacteristic
306#14519757C2311yescharacteristic
307#14519757C2311yescharacteristic
308#14519757C2311yescharacteristic
309#14519757C2311yescharacteristic
310#14519757C2311yescharacteristic
311#14519754—21no—
312#14519754—21no—
313#14519754—21no—
314#14519753—21no—
315#14519753—21no—
316#14519753—21no—
317#14519753—21no—
318#14519753—21no—
319#14519753D411yescharacteristic
320#14519753C2311yescharacteristic
321#14519752—21no—
322#14519752—21no—
323#14519752—21no—
324#14519752—21no—
325#14519752D411yescharacteristic
326#14519752C2311yescharacteristic
327#14519752C2311yescharacteristic
328#14519752C2311yescharacteristic
329#14519751—21no—
330#14519751—21no—
331#14519751—21no—
332#14519750—21no—
333#14519750—21no—
334#14519750—21no—
335#14519750—21no—
336#14519750—21no—
337#14519749—21no—
338#14519749—21no—
339#14519749—21no—
340#14519749—21no—
341#14519748C2311yescharacteristic
342#14519748C2311yescharacteristic
343#14519747—21no—
344#14519747—21no—
345#14519745—21no—
346#14519745—21no—
347Q8×Dic61—21no—
348Q8×Dic61—21no—
349Q8×Dic61—21no—
350Q8×Dic61C2311yescharacteristic
351C4×Dic122—21no—
352C4×Dic122—21no—
353C4×Dic122C2311yescharacteristic
354C4×Dic122C2311yescharacteristic
355C4×Dic122C2311yescharacteristic
356C4×Dic122C2311yescharacteristic
357#14519742—21no—
358#14519742—21no—
359#14519742C2311yescharacteristic
360#14519742C2311yescharacteristic
361C4×D244—21no—
362C4×D244—21no—
363C4×D244—21no—
364C4×D244—21no—
365C4×D244—21no—
366C4×D244C2311yescharacteristic
367C4×D244C2311yescharacteristic
368C4×D244C2311yescharacteristic
369C4×D244C2311yescharacteristic
370C4×D244C2311yescharacteristic
371D4×Dic61—21no—
372#14519739—21no—
373#14519739C2311yescharacteristic
374C4×C22⋊D61—21no—
375#14519737—21no—
376#14519737—21no—
377#14519737—21no—
378#14519736—21no—
379#14519735—21no—
380#14519735—21no—
381#14519735—21no—
382#14519735—21no—
383#14519735—21no—
384#14519735—21no—
385#14519735—21no—
386#14519735C2311yescharacteristic
387#14519735C2311yescharacteristic
388#14519735C2311yescharacteristic
389#14519734—21no—
390#14519734—21no—
391#14519734C2311yescharacteristic
392#14519734C2311yescharacteristic
393C2×C4⋊Dic61—21no—
394C2×#11758198—21no—
395C22⋊C4×D61—21no—
396C42×D61—21no—
397C42×D61C2311yescharacteristic
398#14519711C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402#14519708C2311yescharacteristic
403C4⋊#92418C2311yescharacteristic
404C4⋊#92418C2311yescharacteristic
405C4⋊#92418C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519706C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519699C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519689C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519688C2311yescharacteristic
439#14519688C2311yescharacteristic
440C4×#92418C2311yescharacteristic
441C2×Q16×C61C2311yescharacteristic
442C2×SD16×C61C2311yescharacteristic
443C2×SD16×C61C2311yescharacteristic
444C4⋊Q8×C61—21no—
445C4⋊Q8×C61—21no—
446C4⋊Q8×C61—21no—
447C4⋊Q8×C61C2311yescharacteristic
448C4⋊Q8×C61C2311yescharacteristic
449C4⋊Q8×C61C2311yescharacteristic
450#127×C61C2311yescharacteristic
451#124×C61—21no—
452#124×C61C2311yescharacteristic
453#124×C61C2311yescharacteristic
454#123×C61—21no—
455#123×C61—21no—
456C4×Q8×C61—21no—
457C4×Q8×C61C2311yescharacteristic
458C4×Q8×C61C2311yescharacteristic
459C4×Q8×C61C2311yescharacteristic
460C4×Q8×C61C2311yescharacteristic
461C4×Q8×C61C2311yescharacteristic
462C4×D4×C61—21no—
463C4×D4×C61C2311yescharacteristic
464C4×D4×C61C2311yescharacteristic
465#107×C61C2311yescharacteristic
466#107×C61C2311yescharacteristic
467#107×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469C4⋊C8×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#97×C61C2311yescharacteristic
482#97×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C23×D61—21no—
485C2×Q8×C61—21no—
486C2×Q8×C61—21no—
487C2×Q8×C61—21no—
488C2×Q8×C61C2×D411yescharacteristic
489C2×Q8×C61C2411yescharacteristic
490C2×Q8×C61C2411yescharacteristic
491C2×D4×C61—21no—
492C2×D4×C61—21no—
493C2×D4×C61C2411yescharacteristic
494C2×D4×C61C2411yescharacteristic
495C22×C4×C61—21no—
496C22×C4×C61—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—
505C22×Dic61—21no—
506C22×Dic61—21no—
507C22×Dic61—21no—
508#11758226—22no—
509#11758226—41no—
510#11758226—41no—
511#11758226—41no—
512Q8×D61—22no—
513Q8×D61—22no—
514Q8×D61—41no—
515Q8×D61—41no—
516Q8×D61—41no—
517Q8×D61—41no—
518#11758224—41no—
519#11758224—41no—
520#11758224—41no—
521#11758224—41no—
522#11758224—41no—
523#11758224—41no—
524D4×D61—41no—
525D4×D61—41no—
526C2×D244—21no—
527C2×D244—21no—
528C2×D244—21no—
529C2×D244—21no—
530C2×D244—21no—
531C2×D244C2×D411yescharacteristic
532C2×D244C2×D411yescharacteristic
533C2×D244C2×D411yescharacteristic
534C2×D244C2411yescharacteristic
535C2×D244C2411yescharacteristic
536C2×C4×D61—21no—
537C2×C4×D61—21no—
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×D61C2×D411yescharacteristic
545C2×C4×D61C2×D411yescharacteristic
546C2×C4×D61C2411yescharacteristic
547C2×C4×D61C2411yescharacteristic
548C2×C4×D61C2411yescharacteristic
549C2×Dic122—21no—
550C2×Dic122—21no—
551C2×Dic122—21no—
552C2×Dic122C2411yescharacteristic
553C2×Dic122C2411yescharacteristic
554C2×Dic122C2411yescharacteristic
555C2×Dic122C2411yescharacteristic
556Q16×C61—22no—
557SD16×C61—22no—
558SD16×C61—22no—
559C2×C8×C61C2411yescharacteristic
560C2×C8×C61C2411yescharacteristic
561C2×C8×C61C2411yescharacteristic
562C2×C8×C61C2411yescharacteristic
563C4⋊C4×C61—21no—
564C4⋊C4×C61—21no—
565C4⋊C4×C61—21no—
566C4⋊C4×C61—21no—
567C4⋊C4×C61—21no—
568C4⋊C4×C61—21no—
569C4⋊C4×C61—21no—
570C4⋊C4×C61C2×D411yescharacteristic
571C4⋊C4×C61C2×D411yescharacteristic
572C4⋊C4×C61C2×D411yescharacteristic
573C4⋊C4×C61C2411yescharacteristic
574C4⋊C4×C61C2411yescharacteristic
575C4⋊C4×C61C2411yescharacteristic
576C4⋊C4×C61C2411yescharacteristic
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C22⋊C4×C61—21no—
583C42×C61—21no—
584C42×C61—21no—
585C42×C61—21no—
586C42×C61—21no—
587C42×C61C2411yescharacteristic
588C42×C61C2411yescharacteristic
589C42×C61C2411yescharacteristic
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594#11758202—22no—
595#11758202—22no—
596#11758202—41no—
597#11758202—41no—
598#11758201—22no—
599#11758201—41no—
600#11758200—41no—
601#11758200—41no—
602#11758200—41no—
603#11758200—41no—
604#11758199—41no—
605#11758199—41no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609#11758198—21no—
610#11758198—21no—
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#11758198—21no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198C2×D411yescharacteristic
631#11758198C2×D411yescharacteristic
632#11758198C2×D411yescharacteristic
633#11758198C2×D411yescharacteristic
634#11758198C2×D411yescharacteristic
635#11758198C2×D411yescharacteristic
636#11758198C2×D411yescharacteristic
637#11758198C2×D411yescharacteristic
638#11758198C2×D411yescharacteristic
639#11758198C2×D411yescharacteristic
640C4⋊Dic61—21no—
641C4⋊Dic61—21no—
642C4⋊Dic61—21no—
643C4⋊Dic61—21no—
644C4⋊Dic61—21no—
645C4⋊Dic61—21no—
646C4⋊Dic61—21no—
647C4⋊Dic61—21no—
648C4⋊Dic61—21no—
649C4⋊Dic61—21no—
650C4⋊Dic61—21no—
651C4⋊Dic61—21no—
652C4⋊Dic61C2×D411yescharacteristic
653C4⋊Dic61C2×D411yescharacteristic
654C4⋊Dic61C2×D411yescharacteristic
655C4⋊Dic61C2411yescharacteristic
656C4⋊Dic61C2411yescharacteristic
657#11758196—21no—
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196C2×D411yescharacteristic
668#11758196C2×D411yescharacteristic
669#11758196C2×D411yescharacteristic
670#11758196C2×D411yescharacteristic
671C4×Dic61—21no—
672C4×Dic61—21no—
673C4×Dic61—21no—
674C4×Dic61—21no—
675C4×Dic61—21no—
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61C2×D411yescharacteristic
682C4×Dic61C2×D411yescharacteristic
683C4×Dic61C2411yescharacteristic
684C2×#92418C2411yescharacteristic
685C2×#92418C2411yescharacteristic
686C2×#92418C2411yescharacteristic
687C2×#92418C2411yescharacteristic
688Dic244—41no—
689Dic244—41no—
690Dic244—41no—
691Dic244—41no—
692D488—41no—
693#11758190—41no—
694#11758190—41no—
695#11758190—41no—
696#11758190—41no—
697#11758189—41no—
698#11758189—41no—
699C8×D61—41no—
700C8×D61—41no—
701C8×D61—41no—
702C8×D61—41no—
703C23×C61—21no—
704C23×C61—21no—
705C22×D61—21no—
706C22×D61—21no—
707C22×D61—81no—
708C22×D61—81no—
709C22×D61—81no—
710C22×D61C22×D411yescharacteristic
711C22×D61C22×D411yescharacteristic
712C22×D61C22×D411yescharacteristic
713Q8×C61—21no—
714Q8×C61—21no—
715Q8×C61—21no—
716Q8×C61—41no—
717Q8×C61—81no—
718Q8×C61—81no—
719Q8×C61—81no—
720Q8×C61H(5,𝔽2)12yes—
721D4×C61—21no—
722D4×C61—21no—
723D4×C61—21no—
724D4×C61—21no—
725D4×C61—81no—
726D4×C61—81no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—21no—
733C2×C4×C61—81no—
734C2×C4×C61—81no—
735C2×C4×C61C22×D411yescharacteristic
736C2×C4×C61C22×D411yescharacteristic
737C2×C4×C61C22×D411yescharacteristic
738C2×C4×C61C22×D411yescharacteristic
739C2×C4×C61C22×D411yescharacteristic
740C2×C4×C61C22×D411yescharacteristic
741C2×C4×C61C2511yescharacteristic
742C22⋊D61—81no—
743C22⋊D61—81no—
744C22⋊D61—81no—
745C22⋊D61—81no—
746C22⋊D61—81no—
747C22⋊D61—81no—
748C22⋊D61—81no—
749C22⋊D61—81no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—81no—
757C2×Dic61—81no—
758C2×Dic61—81no—
759C2×Dic61C22×D411yescharacteristic
760C2×Dic61C22×D411yescharacteristic
761C2×Dic61C22×D411yescharacteristic
762C2×Dic61C22×D411yescharacteristic
763C2×Dic61C22×D411yescharacteristic
764D244—21no—
765D244—21no—
766D244—21no—
767D244—21no—
768D244—41no—
769D244—41no—
770D244—41no—
771D244—42no—
772D244—81no—
773D244—81no—
774D244—81no—
775D244—81no—
776C4×D61—21no—
777C4×D61—21no—
778C4×D61—21no—
779C4×D61—21no—
780C4×D61—21no—
781C4×D61—21no—
782C4×D61—41no—
783C4×D61—41no—
784C4×D61—42no—
785C4×D61—42no—
786C4×D61—42no—
787C4×D61—42no—
788C4×D61—81no—
789C4×D61—81no—
790C4×D61—81no—
791C4×D61—81no—
792Dic122—21no—
793Dic122—21no—
794Dic122—21no—
795Dic122—21no—
796Dic122—21no—
797Dic122—21no—
798Dic122—21no—
799Dic122—21no—
800Dic122—42no—
801Dic122—42no—
802Dic122—81no—
803C8×C61—21no—
804C8×C61—21no—
805C8×C61—21no—
806C8×C61—21no—
807#92418—21no—
808#92418—21no—
809#92418—21no—
810#92418—21no—
811#62013—611nomaximal, Sylow
812C22×C61—41no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61C23×D411yescharacteristic
819C2×D61—21no—
820C2×D61—21no—
821C2×D61—21no—
822C2×D61—21no—
823C2×D61—21no—
824C2×D61—21no—
825C2×D61—21no—
826C2×D61—21no—
827C2×D61—21no—
828C2×D61—41no—
829C2×D61—41no—
830C2×D61—41no—
831C2×D61—41no—
832C2×D61—41no—
833C2×D61—41no—
834C2×D61—162no—
835C4×C61—21no—
836C4×C61—21no—
837C4×C61—21no—
838C4×C61—21no—
839C4×C61—21no—
840C4×C61—21no—
841C4×C61—22no—
842C4×C61—41no—
843C4×C61—41no—
844C4×C61—41no—
845C4×C61—41no—
846C4×C61—41no—
847C4×C61C2×H(5,𝔽2)11yescharacteristic
848C4×C61#58511yescharacteristic
849Dic61—21no—
850Dic61—21no—
851Dic61—21no—
852Dic61—21no—
853Dic61—21no—
854Dic61—41no—
855Dic61—41no—
856Dic61—41no—
857Dic61—41no—
858Dic61—41no—
859Dic61—41no—
860#3562—611no—
861#3518—611no—
862#3402—611no—
863#3401—611no—
864#3375D6111yescharacteristic, complemented
865#3369—611no—
866#3321—611no—
867#3319—611no—
868#3313—611no—
869#3311—611no—
870#3304—611no—
871#3302—611no—
872#3285—611no—
873#3282—611no—
874#3271—611no—
875#3270—611no—
876#3269—611no—
877#3266—611no—
878#3258—611no—
879#3257—611no—
880#3248—611no—
881#3225—611no—
882#3224—611no—
883#3216—611no—
884#3127—611no—
885#3126—611no—
886#3111—611no—
887#3044—611no—
888#3043—611no—
889#3035—611no—
890#2992—611no—
891C2×C61—81no—
892C2×C61—81no—
893C2×C61#348811yescharacteristic
894C2×C61#358411yescharacteristic
895C2×C61#358611yescharacteristic
896D61—41no—
897D61—41no—
898D61—41no—
899D61—81no—
900D61—81no—
901C2×#137—611no—
902C2×#137—611no—
903C2×#135—611no—
904C2×#135—611no—
905C22×Q16—611no—
906C22×SD16—611no—
907#562—1221no—
908#560—1221no—
909#559C2×D6111yescharacteristic
910Q82C2×D6111yescharacteristic, complemented
911#556—611no—
912#556—611no—
913#556—611no—
914#556—611no—
915#556—1221no—
916#556—1221no—
917#556—1221no—
918#555—611no—
919#555—1221no—
920#553—1221no—
921#551—1221no—
922#550—611no—
923D4×Q8—611no—
924#548—611no—
925#548—611no—
926#548—611no—
927#548—611no—
928#547—611no—
929#546—611no—
930#546—611no—
931#542—611no—
932#542—611no—
933#542—1221no—
934#542—1221no—
935#541—611no—
936#540—611no—
937#540—1221no—
938#539—1221no—
939#538—1221no—
940#538—1221no—
941#536—611no—
942#535—611no—
943#533—611no—
944#533—1221no—
945#532—611no—
946#529—611no—
947#529—611no—
948#529—1221no—
949#519—611no—
950#519—611no—
951C4×#41—611no—
952#497—611no—
953#497—611no—
954#497—611no—
955#496—611no—
956#495—611no—
957#495—611no—
958#489—611no—
959#489—611no—
960#489C2×D6111yescharacteristic
961#489C2×D6111yescharacteristic, complemented
962#487—611no—
963#486C2×D6111yescharacteristic
964#485—611no—
965#485—611no—
966#485—611no—
967#482—611no—
968#482—611no—
969#482—611no—
970#479—611no—
971#479—611no—
972#479—611no—
973#478—611no—
974#477C2×D6111yescharacteristic, complemented
975#476—611no—
976#475—611no—
977#475—611no—
978#474C2×D6111yescharacteristic
979#474C2×D6111yescharacteristic, complemented
980#470—611no—
981#469—611no—
982#468—611no—
983#468—611no—
984#467—611no—
985#467—611no—
986#467—611no—
987#466—611no—
988#465—611no—
989#465—611no—
990#465—611no—
991#465—611no—
992#464—611no—
993#464—611no—
994#464—611no—
995#464—611no—
996#464—611no—
997#464—611no—
998#464—611no—
999#464—611no—
1000#464—611no—
1001#464C2×D6111yescharacteristic
1002#464C2×D6111yescharacteristic, complemented
1003#463—611no—
1004#463—611no—
1005#463—611no—
1006#463—611no—
1007#463—611no—
1008#462—611no—
1009#462—611no—
1010#462—611no—
1011#462—611no—
1012#462—611no—
1013#462—611no—
1014#461—611no—
1015#461—611no—
1016#460—611no—
1017#460—611no—
1018#460—611no—
1019#460—611no—
1020#460C2×D6111yescharacteristic
1021#459—611no—
1022#452—611no—
1023#452—611no—
1024#452—611no—
1025#452—611no—
1026#452—611no—
1027#452—611no—
1028#452—611no—
1029#451—611no—
1030#451—611no—
1031#451—611no—
1032#450—611no—
1033#449—611no—
1034#449—611no—
1035#449—611no—
1036#448—611no—
1037#448—611no—
1038#448—611no—
1039#447—611no—
1040#446—611no—
1041#446C2×D6111yescharacteristic, complemented
1042#442—611no—
1043#441—611no—
1044#441—611no—
1045#441—611no—
1046#440—611no—
1047#440—611no—
1048#440C2×D6111yescharacteristic
1049#440C2×D6111yescharacteristic, complemented
1050C4×Q16—611no—
1051C4×Q16C2×D6111yescharacteristic, complemented
1052C4×SD16—611no—
1053C4×SD16—611no—
1054#435—611no—
1055#435—611no—
1056#435—611no—
1057#435—611no—
1058C8×D4—611no—
1059C8×D4—611no—
1060#433—611no—
1061#433—611no—
1062#432—611no—
1063#424—611no—
1064#424—611no—
1065C2×C4⋊C8—611no—
1066#419—611no—
1067#418—611no—
1068#416—611no—
1069#416—611no—
1070#416—611no—
1071#416—611no—
1072C61#6201311yescharacteristic, complemented, Sylow
1073C2×#41—611no—
1074C2×#41—611no—
1075C2×#41—611no—
1076C2×#41—611no—
1077C2×#41—611no—
1078C22×Q8—611no—
1079C22×Q8—611no—
1080C22×Q8—611no—
1081C22×D4—611no—
1082#137—2442no—
1083#137—2442no—
1084#135—2442no—
1085#135—2442no—
1086C2×Q16—611no—
1087C2×Q16—611no—
1088C2×Q16—611no—
1089C2×Q16—611no—
1090C2×Q16—611no—
1091C2×Q16—611no—
1092C2×Q16—611no—
1093C2×Q16—611no—
1094C2×Q16—2442no—
1095C2×Q16C22×D6111yescharacteristic
1096C2×SD16—611no—
1097C2×SD16—611no—
1098C2×SD16—611no—
1099C2×SD16—611no—
1100C2×SD16—611no—
1101C2×SD16—611no—
1102C2×SD16—611no—
1103C2×SD16—611no—
1104C2×SD16—611no—
1105C2×SD16—611no—
1106C2×SD16—2442no—
1107C2×SD16C22×D6111yescharacteristic
1108C2×SD16C22×D6111yescharacteristic
1109C2×D8—611no—
1110C2×D8—611no—
1111C2×D8—611no—
1112C2×M16—611no—
1113C2×M16—611no—
1114C22×C8—611no—
1115C22×C8—611no—
1116C22×C8—611no—
1117C22×C8—611no—
1118C4⋊Q8—21no—
1119C4⋊Q8—21no—
1120C4⋊Q8—21no—
1121C4⋊Q8—611no—
1122C4⋊Q8—611no—
1123C4⋊Q8—611no—
1124C4⋊Q8—1221no—
1125C4⋊Q8C22×D6111yescharacteristic
1126C4⋊Q8C22×D6111yescharacteristic
1127C4⋊Q8C22×D6111yescharacteristic
1128#127—611no—
1129#127—1221no—
1130#127C22×D6111yescharacteristic
1131#126—611no—
1132#126—611no—
1133#126—1221no—
1134#126—1221no—
1135#126—1221no—
1136#126—1221no—
1137#126—1221no—
1138#126—1221no—
1139#126—1221no—
1140#126—1221no—
1141#126—1221no—
1142#126—1221no—
1143#126—1221no—
1144#126—1221no—
1145#126—1221no—
1146#125—611no—
1147#125—611no—
1148#125—1221no—
1149#125—1221no—
1150#125—1221no—
1151#124—21no—
1152#124—611no—
1153#124—611no—
1154#124—611no—
1155#124—611no—
1156#124—611no—
1157#124—611no—
1158#124—1221no—
1159#124—1221no—
1160#124—1221no—
1161#124—1221no—
1162#124—1221no—
1163#124—1221no—
1164#124—1221no—
1165#124—1221no—
1166#124—1221no—
1167#124—1221no—
1168#124C22×D6111yescharacteristic
1169#124C22×D6111yescharacteristic
1170#123—21no—
1171#123—21no—
1172#123—611no—
1173#123—611no—
1174#123—1221no—
1175#123—1221no—
1176#123—1221no—
1177#123—1221no—
1178#123—1221no—
1179#123—1221no—
1180#123—1221no—
1181#123—1221no—
1182#123—1221no—
1183#123—1221no—
1184#123—1221no—
1185C22⋊Q8—611no—
1186C22⋊Q8—611no—
1187C22⋊Q8—611no—
1188C22⋊Q8—611no—
1189C22⋊Q8—611no—
1190C22⋊Q8—611no—
1191C22⋊Q8—611no—
1192C22⋊Q8—611no—
1193C22⋊Q8—1221no—
1194C22⋊Q8—1221no—
1195C22⋊Q8—1221no—
1196C22⋊Q8—1221no—
1197C22⋊Q8—1221no—
1198C22⋊Q8—1221no—
1199C22⋊Q8—1221no—
1200C22⋊Q8—1221no—
1201C22⋊Q8—1221no—
1202C22⋊Q8—1221no—
1203C22⋊Q8—1221no—
1204C22⋊Q8—1221no—
1205C22⋊Q8—1221no—
1206#121—611no—
1207#121—611no—
1208#121—611no—
1209#121—611no—
1210#121—611no—
1211#121—611no—
1212#121—1221no—
1213#121—1221no—
1214#121—1221no—
1215#121—1221no—
1216#121—1221no—
1217#121—1221no—
1218#121—1221no—
1219#121—1221no—
1220#121—1221no—
1221#121—1221no—
1222#121—1221no—
1223#121—1221no—
1224#121—1221no—
1225#121—1221no—
1226#121—1221no—
1227#121—1221no—
1228#120—1221no—
1229#120—1221no—
1230#120—1221no—
1231#120—1221no—
1232C4×Q8—21no—
1233C4×Q8—611no—
1234C4×Q8—611no—
1235C4×Q8—611no—
1236C4×Q8—611no—
1237C4×Q8—611no—
1238C4×Q8—611no—
1239C4×Q8—611no—
1240C4×Q8—1221no—
1241C4×Q8—1221no—
1242C4×Q8—1221no—
1243C4×Q8—1221no—
1244C4×Q8—1221no—
1245C4×Q8—1221no—
1246C4×Q8—1221no—
1247C4×Q8C22×D6111yescharacteristic
1248C4×Q8C22×D6111yescharacteristic
1249C4×Q8C22×D6111yescharacteristic
1250C4×Q8C22×D6111yescharacteristic
1251C4×Q8C22×D6111yescharacteristic
1252C4×D4—21no—
1253C4×D4—611no—
1254C4×D4—611no—
1255C4×D4—611no—
1256C4×D4—611no—
1257C4×D4—611no—
1258C4×D4—611no—
1259C4×D4—1221no—
1260C4×D4—1221no—
1261C4×D4—1221no—
1262C4×D4—1221no—
1263C4×D4—1221no—
1264C4×D4—1221no—
1265C4×D4—1221no—
1266C4×D4—1221no—
1267C4×D4—1221no—
1268C4×D4—1221no—
1269C4×D4—1221no—
1270C4×D4C22×D6111yescharacteristic
1271C4×D4C22×D6111yescharacteristic
1272#117—611no—
1273#117—611no—
1274#117—611no—
1275#117—611no—
1276#117—611no—
1277#117—1221no—
1278#117—1221no—
1279#117—1221no—
1280#117—1221no—
1281#117—1221no—
1282#117—1221no—
1283#117—1221no—
1284#117—1221no—
1285#117—1221no—
1286#117—1221no—
1287C2×C4⋊C4—1221no—
1288C2×C22⋊C4—1221no—
1289C2×C22⋊C4—1221no—
1290C2×C42—611no—
1291C2×C42—1221no—
1292#107—611no—
1293#107C22×D6111yescharacteristic
1294#107C22×D6111yescharacteristic
1295#107C22×D6111yescharacteristic
1296#106—611no—
1297#106—611no—
1298#106—611no—
1299#106—611no—
1300C4⋊C8—611no—
1301C4⋊C8—611no—
1302C4⋊C8—611no—
1303C4⋊C8—611no—
1304C4⋊C8—611no—
1305C4⋊C8—611no—
1306C4⋊C8—611no—
1307C4⋊C8C22×D6111yescharacteristic
1308C4⋊C8C22×D6111yescharacteristic
1309C4⋊C8C22×D6111yescharacteristic
1310#103—611no—
1311#103—611no—
1312#103—611no—
1313#103—611no—
1314#103—611no—
1315#103—611no—
1316#103—611no—
1317#103—611no—
1318#103—611no—
1319#103—611no—
1320#103—611no—
1321#103—611no—
1322#103—611no—
1323#103—611no—
1324#103C22×D6111yescharacteristic
1325#103C22×D6111yescharacteristic
1326#103C22×D6111yescharacteristic
1327#103C22×D6111yescharacteristic
1328#102—611no—
1329#102—611no—
1330#102—611no—
1331#102—611no—
1332#102—611no—
1333#102—611no—
1334#102—611no—
1335#102—611no—
1336#102C22×D6111yescharacteristic
1337#102C22×D6111yescharacteristic
1338#102C22×D6111yescharacteristic
1339#102C22×D6111yescharacteristic
1340#102C22×D6111yescharacteristic
1341#102C22×D6111yescharacteristic
1342C22⋊C8—611no—
1343C22⋊C8—611no—
1344C22⋊C8—611no—
1345C22⋊C8—611no—
1346C22⋊C8—611no—
1347C22⋊C8—611no—
1348#97—611no—
1349#97—611no—
1350#97C22×D6111yescharacteristic
1351#97C22×D6111yescharacteristic
1352C4×C8—611no—
1353C4×C8C22×D6111yescharacteristic
1354C24—1221no—
1355#41—1222no—
1356#41—2441no—
1357#41—2441no—
1358#41—2441no—
1359#41—2441no—
1360#41—2441no—
1361#41—2441no—
1362#41—2441no—
1363#41—2441no—
1364#41—2441no—
1365C2×Q8—21no—
1366C2×Q8—21no—
1367C2×Q8—21no—
1368C2×Q8—611no—
1369C2×Q8—611no—
1370C2×Q8—611no—
1371C2×Q8—611no—
1372C2×Q8—1221no—
1373C2×Q8—1221no—
1374C2×Q8—1221no—
1375C2×Q8—1222no—
1376C2×Q8—1222no—
1377C2×Q8—2441no—
1378C2×Q8—2441no—
1379C2×Q8—2441no—
1380C2×Q8—2441no—
1381C2×Q8D4×D6111yescharacteristic
1382C2×Q8C23×D6111yescharacteristic
1383C2×Q8C23×D6111yescharacteristic
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—611no—
1387C2×D4—611no—
1388C2×D4—611no—
1389C2×D4—611no—
1390C2×D4—611no—
1391C2×D4—1221no—
1392C2×D4—1221no—
1393C2×D4—1221no—
1394C2×D4—1221no—
1395C2×D4—1221no—
1396C2×D4—1221no—
1397C2×D4—1221no—
1398C2×D4—1221no—
1399C2×D4—1221no—
1400C2×D4—1221no—
1401C2×D4—1221no—
1402C2×D4—1221no—
1403C2×D4—1221no—
1404C2×D4—2441no—
1405C2×D4—2441no—
1406C2×D4C23×D6111yescharacteristic
1407C2×D4C23×D6111yescharacteristic
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—611no—
1411C22×C4—611no—
1412C22×C4—611no—
1413C22×C4—611no—
1414C22×C4—611no—
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×C4—1221no—
1424C22×C4—1221no—
1425C22×C4—1221no—
1426Q16—22no—
1427Q16—1222no—
1428Q16—1222no—
1429Q16—2441no—
1430Q16—2441no—
1431Q16—2441no—
1432Q16—2441no—
1433Q16—2441no—
1434Q16—2441no—
1435SD16—22no—
1436SD16—22no—
1437SD16—1222no—
1438SD16—2441no—
1439SD16—2441no—
1440SD16—2441no—
1441SD16—2441no—
1442SD16—2441no—
1443SD16—2441no—
1444SD16—2441no—
1445SD16—2441no—
1446SD16—2441no—
1447D8—2441no—
1448D8—2441no—
1449D8—2441no—
1450M16—2441no—
1451M16—2441no—
1452C2×C8—611no—
1453C2×C8—611no—
1454C2×C8—611no—
1455C2×C8—611no—
1456C2×C8—2441no—
1457C2×C8—2441no—
1458C2×C8—2441no—
1459C2×C8—2441no—
1460C2×C8C23×D6111yescharacteristic
1461C2×C8C23×D6111yescharacteristic
1462C2×C8C23×D6111yescharacteristic
1463C2×C8C23×D6111yescharacteristic
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—611no—
1472C4⋊C4—611no—
1473C4⋊C4—611no—
1474C4⋊C4—611no—
1475C4⋊C4—611no—
1476C4⋊C4—611no—
1477C4⋊C4—611no—
1478C4⋊C4—611no—
1479C4⋊C4—611no—
1480C4⋊C4—1221no—
1481C4⋊C4—1221no—
1482C4⋊C4—1221no—
1483C4⋊C4—1221no—
1484C4⋊C4—1221no—
1485C4⋊C4—1221no—
1486C4⋊C4—1221no—
1487C4⋊C4—1221no—
1488C4⋊C4—1221no—
1489C4⋊C4—1221no—
1490C4⋊C4—1221no—
1491C4⋊C4—1221no—
1492C4⋊C4—1221no—
1493C4⋊C4—1221no—
1494C4⋊C4—1221no—
1495C4⋊C4—1221no—
1496C4⋊C4—1221no—
1497C4⋊C4—1221no—
1498C4⋊C4—1221no—
1499C4⋊C4—1221no—
1500C4⋊C4—1221no—
1501C4⋊C4—1221no—
1502C4⋊C4D4×D6111yescharacteristic
1503C4⋊C4D4×D6111yescharacteristic
1504C4⋊C4D4×D6111yescharacteristic
1505C4⋊C4C23×D6111yescharacteristic
1506C4⋊C4C23×D6111yescharacteristic
1507C4⋊C4C23×D6111yescharacteristic
1508C4⋊C4C23×D6111yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—611no—
1516C22⋊C4—611no—
1517C22⋊C4—611no—
1518C22⋊C4—611no—
1519C22⋊C4—611no—
1520C22⋊C4—611no—
1521C22⋊C4—611no—
1522C22⋊C4—611no—
1523C22⋊C4—611no—
1524C22⋊C4—611no—
1525C22⋊C4—1221no—
1526C22⋊C4—1221no—
1527C22⋊C4—1221no—
1528C22⋊C4—1221no—
1529C22⋊C4—1221no—
1530C22⋊C4—1221no—
1531C22⋊C4—1221no—
1532C22⋊C4—1221no—
1533C22⋊C4—1221no—
1534C22⋊C4—1221no—
1535C22⋊C4—1221no—
1536C22⋊C4—1221no—
1537C22⋊C4—1221no—
1538C22⋊C4—1221no—
1539C22⋊C4—1221no—
1540C22⋊C4—1221no—
1541C22⋊C4—1221no—
1542C22⋊C4—1221no—
1543C22⋊C4—1221no—
1544C22⋊C4—1221no—
1545C22⋊C4—1221no—
1546C22⋊C4—1221no—
1547C22⋊C4—1221no—
1548C22⋊C4—1221no—
1549C22⋊C4—1221no—
1550C22⋊C4—1221no—
1551C22⋊C4—1221no—
1552C22⋊C4—1221no—
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—21no—
1557C42—611no—
1558C42—611no—
1559C42—611no—
1560C42—1221no—
1561C42—1221no—
1562C42—1221no—
1563C42—1221no—
1564C42—1221no—
1565C42—1221no—
1566C42—1221no—
1567C42—1221no—
1568C42—1221no—
1569C42—1221no—
1570C42C23×D6111yescharacteristic
1571C42C23×D6111yescharacteristic
1572C42C23×D6111yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—611no—
1576C23—611no—
1577C23—611no—
1578C23—1221no—
1579C23—1221no—
1580C23—4881no—
1581C23—4881no—
1582C23—4881no—
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—41no—
1587Q8—81no—
1588Q8—81no—
1589Q8—81no—
1590Q8—1221no—
1591Q8—1221no—
1592Q8—1221no—
1593Q8—1221no—
1594Q8—1221no—
1595Q8—1221no—
1596Q8—1221no—
1597Q8—1221no—
1598Q8—4881no—
1599Q8—2442no—
1600Q8—2442no—
1601Q8#1451982312yes—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—81no—
1607D4—81no—
1608D4—1221no—
1609D4—1221no—
1610D4—1221no—
1611D4—1221no—
1612D4—4881no—
1613D4—4881no—
1614D4—4881no—
1615D4—4881no—
1616D4—4881no—
1617D4—4881no—
1618D4—4881no—
1619D4—4881no—
1620D4—4881no—
1621D4—4881no—
1622D4—4881no—
1623D4—4881no—
1624D4—2441no—
1625D4—2441no—
1626D4—2441no—
1627D4—2442no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—81no—
1635C2×C4—81no—
1636C2×C4—611no—
1637C2×C4—611no—
1638C2×C4—611no—
1639C2×C4—611no—
1640C2×C4—611no—
1641C2×C4—1221no—
1642C2×C4—1221no—
1643C2×C4—1221no—
1644C2×C4—1221no—
1645C2×C4—1221no—
1646C2×C4—1221no—
1647C2×C4—1221no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—4881no—
1654C2×C4—4881no—
1655C2×C4—4881no—
1656C2×C4—4881no—
1657C2×C4—4881no—
1658C2×C4—4881no—
1659C2×C4—4881no—
1660C2×C4—2441no—
1661C2×C4—2441no—
1662C2×C4—2442no—
1663C2×C4—2442no—
1664C2×C4—2442no—
1665C2×C4—2442no—
1666C2×C4C2×D4×D6111yescharacteristic
1667C2×C4C2×D4×D6111yescharacteristic
1668C2×C4C2×D4×D6111yescharacteristic
1669C2×C4C2×D4×D6111yescharacteristic
1670C2×C4C2×D4×D6111yescharacteristic
1671C2×C4C2×D4×D6111yescharacteristic
1672C2×C4C24×D6111yescharacteristic
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—1221no—
1678C8—1221no—
1679C8—1221no—
1680C8—1221no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—1221no—
1688C22—1221no—
1689C22—1221no—
1690C22—1221no—
1691C22—1221no—
1692C22—1221no—
1693C22—1221no—
1694C22—1221no—
1695C22—1221no—
1696C22—9762no—
1697C22—2441no—
1698C22—2441no—
1699C22—2441no—
1700C22—2441no—
1701C22—2441no—
1702C22—2441no—
1703C22C22×D4×D6111yescharacteristic
1704C4—22no—
1705C4—21no—
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—1221no—
1717C4—1221no—
1718C4—1221no—
1719C4—1221no—
1720C4—1221no—
1721C4—2441no—
1722C4—2441no—
1723C4—2441no—
1724C4—2441no—
1725C4—2441no—
1726C4—2441no—
1727C4C2×#1451982311yescharacteristic
1728C4#1684059911yescharacteristic
1729C2—81no—
1730C2—81no—
1731C2—4881no—
1732C2—4881no—
1733C2—2441no—
1734C2—2441no—
1735C2—2441no—
1736C2#2145948511yescharacteristic
1737C2#2146058711yescharacteristic
1738C2#2146060211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3375C2
socleC22×C61C23×D4
hypercenter#3375D61
hypocenterC61#62013
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3375

Complements

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

NH ≅ G/Ntype
1. #21460405C2semidirect
2. #21459837C2semidirect
3. #21458900C2semidirect
4. #21458879C2semidirect
5. #21458559C2semidirect
6. #21458004C2semidirect
7. #21457972C2semidirect
8. #21457882C2semidirect
9. #21457854C2semidirect
10. #21457757C2semidirect
11. #21457733C2semidirect
12. #21457561C2semidirect
13. #21457521C2semidirect
14. #21457399C2semidirect
15. #21457384C2semidirect
16. #21457376C2semidirect
17. #21457331C2semidirect
18. #21457244C2semidirect
19. #21457237C2semidirect
20. #21457158C2semidirect
21. #21456929C2semidirect
22. #21456916C2semidirect
23. #21456831C2semidirect
24. #21456116C2semidirect
25. #21456109C2semidirect
26. #21455926C2semidirect
27. #21455347C2semidirect
28. #21455335C2semidirect
29. #21455273C2semidirect
30. #21454957C2semidirect
31. C61×#3375C2semidirect
35. C2×#14519798C22semidirect
36. C2×Q16×D61C22semidirect
43. #16840486C22semidirect
46. #16840485C22semidirect
55. #16840424C22semidirect
63. #16840386C22semidirect
73. #16840317C22semidirect
79. #16840238C22semidirect
80. C4×#11758226C22semidirect
81. #16840157C22semidirect
83. #16840156C22semidirect
89. #16840114C22semidirect
91. #16840105C22semidirect
95. #16840084C22semidirect
96. #16840071C22semidirect
97. #16840068C22semidirect
98. #16840068C22semidirect
99. #16840065C22semidirect
101. #16840044C22semidirect
102. #16840044C22semidirect
104. #16840014C22semidirect
108. #16840004C22semidirect
109. #16840004C22semidirect
114. #16839990C22semidirect
116. #16839985C22semidirect
119. #16839984C22semidirect
126. #16839977C22semidirect
128. #16839974C22semidirect
129. #16839973C22semidirect
130. #16839973C22semidirect
131. #16839972C22semidirect
132. #16839971C22semidirect
133. #16839971C22semidirect
134. #16839970C22semidirect
136. #16839966C22semidirect
144. #16839927C22semidirect
147. #16839925C22semidirect
148. #16839925C22semidirect
150. #16839919C22semidirect
157. #16839902C22semidirect
158. #16839899C22semidirect
160. #16839893C22semidirect
162. #16839867C22semidirect
163. #16839867C22semidirect
164. #16839867C22semidirect
166. #16839864C22semidirect
167. C4×Dic244C22semidirect
169. C4×#11758200C22semidirect
173. #16839832C22semidirect
174. C8×D244C22semidirect
176. #16839824C22semidirect
178. #16839817C22semidirect
180. #16839787C22semidirect
181. C4⋊C8×D61C22semidirect
182. #16839769C22semidirect
187. #16839755C22semidirect
189. Q82×C61C22semidirect
191. C61×#489C22semidirect
193. C61×#477C22semidirect
195. C61×#474C22semidirect
197. C61×#464C22semidirect
199. C61×#446C22semidirect
201. C61×#440C22semidirect
202. C4×Q16×C61C22semidirect
864. #3375D61semidirect
910. Q82C2×D61semidirect
961. #489C2×D61semidirect
974. #477C2×D61semidirect
979. #474C2×D61semidirect
1002. #464C2×D61semidirect
1041. #446C2×D61semidirect
1049. #440C2×D61semidirect
1051. C4×Q16C2×D61semidirect
1072. C61#62013semidirect

Maximal subgroups

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

subgroupindex
#214604052
#214598372
#214589002
#214588792
#214585592
#214580042
#214579722
#214578822
#214578542
#214577572
#214577332
#214575612
#214575212
#214573992
#214573842
#214573762
#214573312
#214572442
#214572372
#214571582
#214569292
#214569162
#214568312
#214561162
#214561092
#214559262
#214553472
#214553352
#214552732
#214549572
C61×#33752
#6201361