Finite Group Databasebeta

← #3376×D71 #32877209

Subgroups — #3376×D71 #32877209

Order 18176.

1886 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#556×D71C211yesmaximal, characteristic, complemented
2#554×D71C211yesmaximal, characteristic, complemented
3#22601174C211yesmaximal, characteristic, complemented
4#22601173C211yesmaximal, characteristic, complemented
5#22601172C211yesmaximal, characteristic, complemented
6#22601171C211yesmaximal, characteristic, complemented
7#22601170C211yesmaximal, characteristic, complemented
8#22601169C211yesmaximal, characteristic, complemented
9#22601168C211yesmaximal, characteristic, complemented
10#22601167C211yesmaximal, characteristic, complemented
11#22601166C211yesmaximal, characteristic, complemented
12#22601165C211yesmaximal, characteristic, complemented
13#22601164C211yesmaximal, characteristic, complemented
14#22601163C211yesmaximal, characteristic, complemented
15#22601162C211yesmaximal, characteristic, complemented
16#22601161C211yesmaximal, characteristic, complemented
17#22601160C211yesmaximal, characteristic, complemented
18#491×D71C211yesmaximal, characteristic, complemented
19#489×D71C211yesmaximal, characteristic, complemented
20#488×D71C211yesmaximal, characteristic, complemented
21#479×D71C211yesmaximal, characteristic, complemented
22#475×D71C211yesmaximal, characteristic, complemented
23#478×D71C211yesmaximal, characteristic, complemented
24#463×D71C211yesmaximal, characteristic
25#463×D71C211yesmaximal, characteristic
26#461×D71C211yesmaximal, characteristic, complemented
27#446×D71C211yesmaximal, characteristic, complemented
28#442×D71C211yesmaximal, characteristic
29#440×D71C211yesmaximal, characteristic, complemented
30C4×SD16×D71C211yesmaximal, characteristic, complemented
31C71×#3376C211yesmaximal, characteristic, complemented
32C2×SD16×D71C2211yescharacteristic
33C2×SD16×D71C2211yescharacteristic
34C2×D8×D71C2211yescharacteristic
35#17986723C2211yescharacteristic, complemented
36#17986722C2211yescharacteristic, complemented
37#17986721C2211yescharacteristic, complemented
38#17986721C2211yescharacteristic, complemented
39#17986720—21no—
40#17986719C2211yescharacteristic, complemented
41#17986718C2211yescharacteristic, complemented
42#17986718C2211yescharacteristic, complemented
43#17986717—21no—
44#17986716—21no—
45#17986716—21no—
46#17986710C2211yescharacteristic, complemented
47#17986709C2211yescharacteristic, complemented
48#17986708C2211yescharacteristic, complemented
49#17986708C2211yescharacteristic, complemented
50#17986707—21no—
51#17986706C2211yescharacteristic, complemented
52#17986705C2211yescharacteristic, complemented
53#17986705C2211yescharacteristic, complemented
54#17986704—21no—
55#17986703—21no—
56#17986703—21no—
57C4⋊Q8×D71C2211yescharacteristic
58C4⋊Q8×D71C2211yescharacteristic
59#126×D71—21no—
60#126×D71—21no—
61#125×D71C2211yescharacteristic
62#125×D71C2211yescharacteristic
63#124×D71C2211yescharacteristic
64#124×D71C2211yescharacteristic
65C22⋊Q8×D71—21no—
66C22⋊Q8×D71—21no—
67C22⋊Q8×D71—21no—
68C22⋊Q8×D71—21no—
69C4×Q8×D71C2211yescharacteristic
70C4×Q8×D71C2211yescharacteristic
71C4×Q8×D71C2211yescharacteristic
72C4×D4×D71C2211yescharacteristic
73C4×D4×D71C2211yescharacteristic
74C4×D4×D71C2211yescharacteristic
75C4×D4×D71C2211yescharacteristic
76#117×D71—21no—
77C2×C4⋊C4×D71—21no—
78#17986369C2211yescharacteristic, complemented
79#17986368C2211yescharacteristic, complemented
80#17986367C2211yescharacteristic, complemented
81#17986366C2211yescharacteristic, complemented
82#17986366C2211yescharacteristic, complemented
83#17986366C2211yescharacteristic, complemented
84#17986366C2211yescharacteristic, complemented
85#17986361C2211yescharacteristic, complemented
86#17986360C2211yescharacteristic, complemented
87#17986360C2211yescharacteristic, complemented
88#17986359C2211yescharacteristic, complemented
89#17986358C2211yescharacteristic, complemented
90#17986357C2211yescharacteristic, complemented
91#17986357C2211yescharacteristic, complemented
92#17986356C2211yescharacteristic, complemented
93#17986355C2211yescharacteristic, complemented
94#17986355C2211yescharacteristic, complemented
95#17986354C2211yescharacteristic, complemented
96#17986353C2211yescharacteristic, complemented
97#17986352C2211yescharacteristic, complemented
98#17986352C2211yescharacteristic, complemented
99#17986309C2211yescharacteristic, complemented
100#17986308C2211yescharacteristic, complemented
101#17986307C2211yescharacteristic, complemented
102#17986306C2211yescharacteristic, complemented
103#17986305C2211yescharacteristic, complemented
104#17986304C2211yescharacteristic, complemented
105#17986303C2211yescharacteristic, complemented
106#17986302C2211yescharacteristic, complemented
107#17986301C2211yescharacteristic, complemented
108#17986300C2211yescharacteristic, complemented
109#17986299C2211yescharacteristic, complemented
110#17986298C2211yescharacteristic, complemented
111#17986297C2211yescharacteristic, complemented
112#17986296C2211yescharacteristic, complemented
113#17986285C2211yescharacteristic, complemented
114#17986284C2211yescharacteristic, complemented
115#17986283C2211yescharacteristic, complemented
116#17986283C2211yescharacteristic, complemented
117#17986282C2211yescharacteristic, complemented
118#17986282C2211yescharacteristic, complemented
119#17986281C2211yescharacteristic, complemented
120#17986217C2211yescharacteristic
121#17986217C2211yescharacteristic
122#17986216C2211yescharacteristic
123#17986216C2211yescharacteristic
124#17986215C2211yescharacteristic
125#17986215C2211yescharacteristic
126#17986214C2211yescharacteristic
127#17986214C2211yescharacteristic
128#17986213C2211yescharacteristic
129#17986213C2211yescharacteristic
130#17986212C2211yescharacteristic
131#17986212C2211yescharacteristic
132#17986211C2211yescharacteristic
133#17986211C2211yescharacteristic
134#17986205C2211yescharacteristic, complemented
135#17986204C2211yescharacteristic, complemented
136#17986203C2211yescharacteristic, complemented
137#17986203C2211yescharacteristic, complemented
138#17986202C2211yescharacteristic, complemented
139#17986202C2211yescharacteristic, complemented
140#17986201C2211yescharacteristic, complemented
141#17986130C2211yescharacteristic, complemented
142#17986129C2211yescharacteristic, complemented
143#17986128C2211yescharacteristic, complemented
144#17986128C2211yescharacteristic, complemented
145#17986127C2211yescharacteristic, complemented
146#17986127C2211yescharacteristic, complemented
147#17986126C2211yescharacteristic, complemented
148#17986112C2211yescharacteristic
149#17986111C2211yescharacteristic
150#17986110C2211yescharacteristic
151#17986109C2211yescharacteristic
152#17986109C2211yescharacteristic
153#17986108C2211yescharacteristic
154#17986108C2211yescharacteristic
155#17986102C2211yescharacteristic, complemented
156#17986101C2211yescharacteristic, complemented
157#17986100C2211yescharacteristic, complemented
158#17986099C2211yescharacteristic, complemented
159#17986098C2211yescharacteristic, complemented
160#17986097C2211yescharacteristic, complemented
161#17986096C2211yescharacteristic, complemented
162#17986090C2211yescharacteristic, complemented
163C4×#11765854C2211yescharacteristic, complemented
164SD16×Dic71C2211yescharacteristic, complemented
165C4×#11765852C2211yescharacteristic, complemented
166#17986086C2211yescharacteristic, complemented
167C4×#11765853C2211yescharacteristic, complemented
168#17986084C2211yescharacteristic, complemented
169#107×D71C2211yescharacteristic
170#106×D71C2211yescharacteristic
171#106×D71C2211yescharacteristic
172C4⋊C8×D71C2211yescharacteristic
173C4⋊C8×D71C2211yescharacteristic
174C4⋊C8×D71C2211yescharacteristic
175#103×D71C2211yescharacteristic
176#103×D71C2211yescharacteristic
177#103×D71C2211yescharacteristic
178#103×D71C2211yescharacteristic
179#103×D71C2211yescharacteristic
180#103×D71C2211yescharacteristic
181#102×D71C2211yescharacteristic
182#102×D71C2211yescharacteristic
183#102×D71C2211yescharacteristic
184#102×D71C2211yescharacteristic
185#97×D71C2211yescharacteristic
186#97×D71C2211yescharacteristic
187C4×C8×D71C2211yescharacteristic
188#556×C71C2211yescharacteristic, complemented
189#554×C71C2211yescharacteristic, complemented
190#491×C71C2211yescharacteristic, complemented
191#489×C71C2211yescharacteristic, complemented
192#488×C71C2211yescharacteristic, complemented
193#479×C71C2211yescharacteristic, complemented
194#478×C71C2211yescharacteristic, complemented
195#475×C71C2211yescharacteristic, complemented
196#463×C71C2211yescharacteristic
197#463×C71C2211yescharacteristic
198#461×C71C2211yescharacteristic, complemented
199#446×C71C2211yescharacteristic, complemented
200#442×C71C2211yescharacteristic
201#440×C71C2211yescharacteristic, complemented
202C4×SD16×C71C2211yescharacteristic, complemented
203C2×Q8×D71—21no—
204C2×Q8×D71D411yescharacteristic
205C2×Q8×D71C2311yescharacteristic
206C2×Q8×D71C2311yescharacteristic
207C2×D4×D71C2311yescharacteristic
208C2×D4×D71C2311yescharacteristic
209C22×C4×D71—21no—
210C22×C4×D71—21no—
211C22×C4×D71—21no—
212C22×C4×D71—21no—
213C2×#11765854C2311yescharacteristic
214C2×#11765854C2311yescharacteristic
215C2×#11765853C2311yescharacteristic
216C2×#11765853C2311yescharacteristic
217C2×#11765852C2311yescharacteristic
218C2×#11765852C2311yescharacteristic
219SD16×D71—24no—
220SD16×D71—24no—
221C2×D568C2311yescharacteristic
222C2×#11765850C2311yescharacteristic
223C2×#11765850C2311yescharacteristic
224D8×D71—24no—
225C2×C8×D71C2311yescharacteristic
226C2×C8×D71C2311yescharacteristic
227C2×C8×D71C2311yescharacteristic
228C2×C8×D71C2311yescharacteristic
229#14556128C2311yescharacteristic
230#14556128C2311yescharacteristic
231#14556127—21no—
232#14556127—21no—
233#14556127—21no—
234#14556127C2311yescharacteristic
235#14556127C2311yescharacteristic
236#14556126—21no—
237#14556126C2311yescharacteristic
238#14556126C2311yescharacteristic
239#14556123—21no—
240#14556123—21no—
241#14556123—21no—
242#14556123—21no—
243#14556123—21no—
244#14556123—21no—
245#14556122—21no—
246#14556122—21no—
247#14556121—21no—
248#14556121—21no—
249#14556121—21no—
250#14556121—21no—
251#14556121—21no—
252#14556121—21no—
253#14556120C2311yescharacteristic
254#14556120C2311yescharacteristic
255#14556119C2311yescharacteristic
256#14556119C2311yescharacteristic
257#14556119C2311yescharacteristic
258#14556119C2311yescharacteristic
259#14556118—21no—
260#14556118—21no—
261#14556118—21no—
262#14556118—21no—
263#14556117C2311yescharacteristic
264#14556117C2311yescharacteristic
265#14556116C2311yescharacteristic
266#14556116C2311yescharacteristic
267#14556115C2311yescharacteristic
268#14556115C2311yescharacteristic
269#14556114—21no—
270#14556114—21no—
271#14556114—21no—
272#14556114—21no—
273#14556108—21no—
274#14556108—21no—
275#14556108—21no—
276#14556108—21no—
277#14556107—21no—
278#14556107—21no—
279#14556107—21no—
280#14556107—21no—
281#14556106—21no—
282#14556106—21no—
283#14556106—21no—
284#14556106—21no—
285#14556106—21no—
286#14556106—21no—
287#14556106—21no—
288#14556106—21no—
289#14556105—21no—
290#14556105—21no—
291#14556105—21no—
292#14556105—21no—
293#14556105—21no—
294#14556105—21no—
295#14556105—21no—
296#14556105—21no—
297#14556104—21no—
298#14556104—21no—
299#14556104—21no—
300#14556104—21no—
301Q8×Dic71D411yescharacteristic
302Q8×Dic71C2311yescharacteristic
303Q8×Dic71C2311yescharacteristic
304C4×Dic142—21no—
305C4×Dic142—21no—
306C4×Dic142C2311yescharacteristic
307C4×Dic142C2311yescharacteristic
308C4×Dic142C2311yescharacteristic
309C4×Dic142C2311yescharacteristic
310C4×Dic142C2311yescharacteristic
311#14556093—21no—
312#14556093—21no—
313#14556093D411yescharacteristic
314#14556093D411yescharacteristic
315#14556093D411yescharacteristic
316#14556093C2311yescharacteristic
317#14556093C2311yescharacteristic
318C4×D284C2311yescharacteristic
319C4×D284C2311yescharacteristic
320C4×D284C2311yescharacteristic
321C4×D284C2311yescharacteristic
322D4×Dic71C2311yescharacteristic
323D4×Dic71C2311yescharacteristic
324D4×Dic71C2311yescharacteristic
325D4×Dic71C2311yescharacteristic
326#14556090C2311yescharacteristic
327#14556090C2311yescharacteristic
328#14556090C2311yescharacteristic
329#14556090C2311yescharacteristic
330C4×C22⋊D71—21no—
331C4×C22⋊D71—21no—
332C4×C22⋊D71—21no—
333C4×C22⋊D71—21no—
334(C22⋊D71)⋊C4—21no—
335(C22⋊D71)⋊C4—21no—
336(C22⋊D71)⋊C4—21no—
337(C22⋊D71)⋊C4—21no—
338#14556087—21no—
339#14556086—21no—
340#14556086—21no—
341#14556085—21no—
342#14556085—21no—
343#14556084—21no—
344#14556084—21no—
345C2×C4⋊Dic71—21no—
346C2×Dic71⋊C4—21no—
347C2×Dic71⋊C4—21no—
348C4⋊C4×D71—21no—
349C4⋊C4×D71—21no—
350C4⋊C4×D71—21no—
351C4⋊C4×D71—21no—
352C4⋊C4×D71—21no—
353C4⋊C4×D71—21no—
354C4⋊C4×D71—21no—
355C4⋊C4×D71—21no—
356C4⋊C4×D71—21no—
357C4⋊C4×D71—21no—
358C4⋊C4×D71—21no—
359C4⋊C4×D71—21no—
360C4⋊C4×D71—21no—
361C4⋊C4×D71D411yescharacteristic
362C4⋊C4×D71D411yescharacteristic
363C4⋊C4×D71D411yescharacteristic
364C4⋊C4×D71C2311yescharacteristic
365C4⋊C4×D71C2311yescharacteristic
366C4⋊C4×D71C2311yescharacteristic
367C4⋊C4×D71C2311yescharacteristic
368C22⋊C4×D71—21no—
369C22⋊C4×D71—21no—
370C22⋊C4×D71—21no—
371C22⋊C4×D71—21no—
372C22⋊C4×D71—21no—
373C22⋊C4×D71—21no—
374C22⋊C4×D71—21no—
375C22⋊C4×D71—21no—
376C42×D71—21no—
377C42×D71—21no—
378C42×D71C2311yescharacteristic
379C42×D71C2311yescharacteristic
380C42×D71C2311yescharacteristic
381#14556062C2311yescharacteristic
382#14556061C2311yescharacteristic
383#14556061C2311yescharacteristic
384#14556060C2311yescharacteristic
385#14556060C2311yescharacteristic
386#14556059C2311yescharacteristic
387#14556059C2311yescharacteristic
388#14556059C2311yescharacteristic
389#14556059C2311yescharacteristic
390C4⋊(C71⋊C8)C2311yescharacteristic
391C4⋊(C71⋊C8)C2311yescharacteristic
392C4⋊(C71⋊C8)C2311yescharacteristic
393Dic71⋊C8C2311yescharacteristic
394Dic71⋊C8C2311yescharacteristic
395Dic71⋊C8C2311yescharacteristic
396Dic71⋊C8C2311yescharacteristic
397Dic71⋊C8C2311yescharacteristic
398Dic71⋊C8C2311yescharacteristic
399#14556053C2311yescharacteristic
400#14556053C2311yescharacteristic
401#14556053C2311yescharacteristic
402#14556053C2311yescharacteristic
403#14556053C2311yescharacteristic
404#14556053C2311yescharacteristic
405#14556052C2311yescharacteristic
406#14556052C2311yescharacteristic
407#14556052C2311yescharacteristic
408#14556052C2311yescharacteristic
409#14556052C2311yescharacteristic
410#14556052C2311yescharacteristic
411#14556051C2311yescharacteristic
412#14556051C2311yescharacteristic
413#14556051C2311yescharacteristic
414#14556051C2311yescharacteristic
415#14556051C2311yescharacteristic
416#14556051C2311yescharacteristic
417#14556050C2311yescharacteristic
418#14556050C2311yescharacteristic
419#14556050C2311yescharacteristic
420#14556050C2311yescharacteristic
421#14556049C2311yescharacteristic
422#14556049C2311yescharacteristic
423#14556049C2311yescharacteristic
424#14556049C2311yescharacteristic
425#14556048C2311yescharacteristic
426#14556048C2311yescharacteristic
427#14556048C2311yescharacteristic
428#14556048C2311yescharacteristic
429#14556039C2311yescharacteristic
430#14556039C2311yescharacteristic
431#14556038C2311yescharacteristic
432#14556038C2311yescharacteristic
433#14556038C2311yescharacteristic
434#14556038C2311yescharacteristic
435C4×C71⋊C8C2311yescharacteristic
436C8×Dic71C2311yescharacteristic
437C8×Dic71C2311yescharacteristic
438C2×SD16×C71C2311yescharacteristic
439C2×SD16×C71C2311yescharacteristic
440C2×D8×C71C2311yescharacteristic
441C4⋊Q8×C71C2311yescharacteristic
442C4⋊Q8×C71C2311yescharacteristic
443#126×C71—21no—
444#126×C71—21no—
445#125×C71C2311yescharacteristic
446#125×C71C2311yescharacteristic
447#124×C71C2311yescharacteristic
448#124×C71C2311yescharacteristic
449C22⋊Q8×C71—21no—
450C22⋊Q8×C71—21no—
451C22⋊Q8×C71—21no—
452C22⋊Q8×C71—21no—
453C4×Q8×C71C2311yescharacteristic
454C4×Q8×C71C2311yescharacteristic
455C4×Q8×C71C2311yescharacteristic
456C4×D4×C71C2311yescharacteristic
457C4×D4×C71C2311yescharacteristic
458C4×D4×C71C2311yescharacteristic
459C4×D4×C71C2311yescharacteristic
460#117×C71—21no—
461C2×C4⋊C4×C71—21no—
462#107×C71C2311yescharacteristic
463#106×C71C2311yescharacteristic
464#106×C71C2311yescharacteristic
465C4⋊C8×C71C2311yescharacteristic
466C4⋊C8×C71C2311yescharacteristic
467C4⋊C8×C71C2311yescharacteristic
468#103×C71C2311yescharacteristic
469#103×C71C2311yescharacteristic
470#103×C71C2311yescharacteristic
471#103×C71C2311yescharacteristic
472#103×C71C2311yescharacteristic
473#103×C71C2311yescharacteristic
474#102×C71C2311yescharacteristic
475#102×C71C2311yescharacteristic
476#102×C71C2311yescharacteristic
477#102×C71C2311yescharacteristic
478#97×C71C2311yescharacteristic
479#97×C71C2311yescharacteristic
480C4×C8×C71C2311yescharacteristic
481C23×D71—21no—
482C23×D71—21no—
483C2×Dic142—21no—
484C2×Dic142—21no—
485C2×Dic142—21no—
486C2×Dic142—21no—
487C2×Dic142—21no—
488C2×Dic142C2×D411yescharacteristic
489C2×Dic142C2×D411yescharacteristic
490C2×Dic142C2×D411yescharacteristic
491C2×Dic142C2411yescharacteristic
492C2×Dic142C2411yescharacteristic
493Q8×D71—22no—
494Q8×D71—22no—
495Q8×D71—22no—
496Q8×D71—22no—
497Q8×D71—42no—
498Q8×D71—82no—
499C2×D284C2411yescharacteristic
500C2×D284C2411yescharacteristic
501C2×C22⋊D71—21no—
502C2×C22⋊D71—21no—
503D4×D71—22no—
504D4×D71—22no—
505D4×D71—22no—
506D4×D71#4114yes—
507C22×Dic71—21no—
508C22×Dic71—21no—
509C22×Dic71—21no—
510C22×Dic71—21no—
511C2×C4×D71—21no—
512C2×C4×D71—21no—
513C2×C4×D71—21no—
514C2×C4×D71—21no—
515C2×C4×D71—21no—
516C2×C4×D71—21no—
517C2×C4×D71—21no—
518C2×C4×D71—21no—
519C2×C4×D71—21no—
520C2×C4×D71—21no—
521C2×C4×D71—21no—
522C2×C4×D71—21no—
523C2×C4×D71—21no—
524C2×C4×D71—21no—
525C2×C4×D71—44no—
526C2×C4×D71—44no—
527C2×C4×D71—82no—
528C2×C4×D71—82no—
529C2×C4×D71C2×D411yescharacteristic
530C2×C4×D71C2×D411yescharacteristic
531C2×C4×D71C2×D411yescharacteristic
532C2×C4×D71C2×D411yescharacteristic
533C2×C4×D71C2×D411yescharacteristic
534C2×C4×D71C2×D411yescharacteristic
535C2×C4×D71C2411yescharacteristic
536#11765854—22no—
537#11765854—22no—
538#11765853—22no—
539#11765853—22no—
540#11765852—22no—
541#11765852—22no—
542D568—22no—
543#11765850—22no—
544#11765850—22no—
545C2×C71⋊C8C2411yescharacteristic
546C2×C71⋊C8C2411yescharacteristic
547C2×C71⋊C8C2411yescharacteristic
548C2×C71⋊C8C2411yescharacteristic
549C8×D71—22no—
550C8×D71—22no—
551C8×D71—22no—
552C8×D71—22no—
553C4⋊Dic71—21no—
554C4⋊Dic71—21no—
555C4⋊Dic71—21no—
556C4⋊Dic71—21no—
557C4⋊Dic71—21no—
558C4⋊Dic71—21no—
559C4⋊Dic71—21no—
560C4⋊Dic71—21no—
561C4⋊Dic71—21no—
562C4⋊Dic71C2×D411yescharacteristic
563C4⋊Dic71C2×D411yescharacteristic
564C4⋊Dic71C2×D411yescharacteristic
565C4⋊Dic71C2411yescharacteristic
566C4⋊Dic71C2411yescharacteristic
567C4⋊Dic71C2411yescharacteristic
568C4⋊Dic71C2411yescharacteristic
569Dic71⋊C4—21no—
570Dic71⋊C4—21no—
571Dic71⋊C4—21no—
572Dic71⋊C4—21no—
573Dic71⋊C4—21no—
574Dic71⋊C4—21no—
575Dic71⋊C4—21no—
576Dic71⋊C4—21no—
577Dic71⋊C4—21no—
578Dic71⋊C4—21no—
579Dic71⋊C4—21no—
580Dic71⋊C4—21no—
581Dic71⋊C4—21no—
582Dic71⋊C4—21no—
583Dic71⋊C4—21no—
584Dic71⋊C4—21no—
585Dic71⋊C4—21no—
586Dic71⋊C4—21no—
587Dic71⋊C4—21no—
588Dic71⋊C4—21no—
589Dic71⋊C4—21no—
590Dic71⋊C4—21no—
591Dic71⋊C4C2×D411yescharacteristic
592Dic71⋊C4C2×D411yescharacteristic
593Dic71⋊C4C2×D411yescharacteristic
594Dic71⋊C4C2×D411yescharacteristic
595Dic71⋊C4C2×D411yescharacteristic
596Dic71⋊C4C2×D411yescharacteristic
597C22⋊Dic71—21no—
598C22⋊Dic71—21no—
599C22⋊Dic71—21no—
600C22⋊Dic71—21no—
601C22⋊Dic71—21no—
602C22⋊Dic71—21no—
603C22⋊Dic71—21no—
604C22⋊Dic71—21no—
605(C2×D71)⋊C4—21no—
606(C2×D71)⋊C4—21no—
607(C2×D71)⋊C4—21no—
608(C2×D71)⋊C4—21no—
609(C2×D71)⋊C4—21no—
610(C2×D71)⋊C4—21no—
611(C2×D71)⋊C4—21no—
612(C2×D71)⋊C4—21no—
613(C2×D71)⋊C4—21no—
614(C2×D71)⋊C4—21no—
615(C2×D71)⋊C4—21no—
616(C2×D71)⋊C4—21no—
617(C2×D71)⋊C4—21no—
618(C2×D71)⋊C4—21no—
619(C2×D71)⋊C4—21no—
620(C2×D71)⋊C4—21no—
621C4×Dic71—21no—
622C4×Dic71—21no—
623C4×Dic71—21no—
624C4×Dic71—21no—
625C4×Dic71—21no—
626C4×Dic71—21no—
627C4×Dic71C2×D411yescharacteristic
628C4×Dic71C2×D411yescharacteristic
629C4×Dic71C2×D411yescharacteristic
630C4×Dic71C2×D411yescharacteristic
631C4×Dic71C2×D411yescharacteristic
632C4×Dic71C2×D411yescharacteristic
633C4×Dic71C2411yescharacteristic
634C4×Dic71C2411yescharacteristic
635C4×Dic71C2411yescharacteristic
636C2×Q8×C71—21no—
637C2×Q8×C71C2×D411yescharacteristic
638C2×Q8×C71C2411yescharacteristic
639C2×Q8×C71C2411yescharacteristic
640C2×D4×C71C2411yescharacteristic
641C2×D4×C71C2411yescharacteristic
642C22×C4×C71—21no—
643C22×C4×C71—21no—
644C22×C4×C71—21no—
645C22×C4×C71—21no—
646SD16×C71—22no—
647SD16×C71—22no—
648D8×C71—22no—
649C2×C8×C71C2411yescharacteristic
650C2×C8×C71C2411yescharacteristic
651C2×C8×C71C2411yescharacteristic
652C2×C8×C71C2411yescharacteristic
653C4⋊C4×C71—21no—
654C4⋊C4×C71—21no—
655C4⋊C4×C71—21no—
656C4⋊C4×C71—21no—
657C4⋊C4×C71—21no—
658C4⋊C4×C71—21no—
659C4⋊C4×C71—21no—
660C4⋊C4×C71—21no—
661C4⋊C4×C71—21no—
662C4⋊C4×C71C2×D411yescharacteristic
663C4⋊C4×C71C2×D411yescharacteristic
664C4⋊C4×C71C2×D411yescharacteristic
665C4⋊C4×C71C2411yescharacteristic
666C4⋊C4×C71C2411yescharacteristic
667C4⋊C4×C71C2411yescharacteristic
668C4⋊C4×C71C2411yescharacteristic
669C22⋊C4×C71—21no—
670C22⋊C4×C71—21no—
671C22⋊C4×C71—21no—
672C22⋊C4×C71—21no—
673C22⋊C4×C71—21no—
674C22⋊C4×C71—21no—
675C22⋊C4×C71—21no—
676C22⋊C4×C71—21no—
677C42×C71—21no—
678C42×C71—21no—
679C42×C71C2411yescharacteristic
680C42×C71C2411yescharacteristic
681C42×C71C2411yescharacteristic
682C23×C71—21no—
683C23×C71—21no—
684C22×D71—21no—
685C22×D71—24no—
686C22×D71—21no—
687C22×D71—42no—
688C22×D71—42no—
689C22×D71—42no—
690C22×D71—42no—
691C22×D71—42no—
692C22×D71C22×D411yescharacteristic
693Q8×C71—21no—
694Q8×C71—21no—
695Q8×C71—21no—
696Q8×C71—21no—
697Q8×C71—41no—
698Q8×C71—81no—
699D4×C71—21no—
700D4×C71—21no—
701D4×C71—21no—
702D4×C71C2×#4112yes—
703C2×C4×C71—21no—
704C2×C4×C71—21no—
705C2×C4×C71—21no—
706C2×C4×C71—21no—
707C2×C4×C71—21no—
708C2×C4×C71—21no—
709C2×C4×C71—42no—
710C2×C4×C71—42no—
711C2×C4×C71—81no—
712C2×C4×C71—81no—
713C2×C4×C71C22×D411yescharacteristic
714C2×C4×C71C22×D411yescharacteristic
715C2×C4×C71C22×D411yescharacteristic
716C2×C4×C71C22×D411yescharacteristic
717C2×C4×C71C22×D411yescharacteristic
718C2×C4×C71C22×D411yescharacteristic
719C2×C4×C71C2511yescharacteristic
720C22⋊D71—24no—
721C22⋊D71—42no—
722C2×Dic71—21no—
723C2×Dic71—21no—
724C2×Dic71—21no—
725C2×Dic71—21no—
726C2×Dic71—21no—
727C2×Dic71—21no—
728C2×Dic71—42no—
729C2×Dic71—42no—
730C2×Dic71—81no—
731C2×Dic71—81no—
732C2×Dic71C22×D411yescharacteristic
733C2×Dic71C22×D411yescharacteristic
734C2×Dic71C22×D411yescharacteristic
735C2×Dic71C22×D411yescharacteristic
736C2×Dic71C22×D411yescharacteristic
737C2×Dic71C22×D411yescharacteristic
738C2×Dic71C22×D411yescharacteristic
739D284—21no—
740D284—21no—
741D284—21no—
742D284C2×#4112yes—
743C4×D71—22no—
744C4×D71—22no—
745C4×D71—22no—
746C4×D71—22no—
747C4×D71—22no—
748C4×D71—22no—
749C4×D71—42no—
750C4×D71—42no—
751C4×D71—42no—
752C4×D71—42no—
753C4×D71—42no—
754C4×D71—42no—
755C4×D71—42no—
756C4×D71—42no—
757C4×D71—42no—
758C4×D71—42no—
759C4×D71—81no—
760C4×D71—81no—
761C4×D71—81no—
762C4×D71—81no—
763C4×D71C2×#4112yes—
764C4×D712−1+412yes—
765Dic142—21no—
766Dic142—21no—
767Dic142—21no—
768Dic142—21no—
769Dic142—41no—
770Dic142—41no—
771Dic142—41no—
772Dic142—42no—
773Dic142—42no—
774Dic142—81no—
775Dic142—81no—
776Dic142—81no—
777C8×C71—21no—
778C8×C71—21no—
779C8×C71—21no—
780C8×C71—21no—
781C71⋊C8—21no—
782C71⋊C8—21no—
783C71⋊C8—21no—
784C71⋊C8—21no—
785C22×C71—22no—
786C22×C71—41no—
787C22×C71—41no—
788C22×C71—41no—
789C22×C71—41no—
790C22×C71—41no—
791C22×C71C23×D411yescharacteristic
792C2×D71—22no—
793C2×D71—41no—
794C2×D71—41no—
795C2×D71—48no—
796C2×D71—41no—
797C2×D71—41no—
798C2×D71—41no—
799C2×D71—84no—
800C2×D71#54812yes—
801C2×D71#57512yes—
802C2×D71#57712yes—
803C4×C71—21no—
804C4×C71—21no—
805C4×C71—21no—
806C4×C71—21no—
807C4×C71—21no—
808C4×C71—21no—
809C4×C71—41no—
810C4×C71—41no—
811C4×C71—41no—
812C4×C71—41no—
813C4×C71—41no—
814C4×C71—41no—
815C4×C71C22×#4111yescharacteristic
816C4×C71C2×2−1+411yescharacteristic
817Dic71—21no—
818Dic71—21no—
819Dic71—21no—
820Dic71—21no—
821Dic71—21no—
822Dic71—21no—
823Dic71—41no—
824Dic71—41no—
825Dic71—41no—
826Dic71—41no—
827Dic71—41no—
828Dic71—41no—
829Dic71#54812yes—
830C2×#3376—711nomaximal, Sylow
831C2×C71—42no—
832C2×C71—81no—
833C2×C71C2×#54811yescharacteristic
834C2×C71C2×#57511yescharacteristic
835C2×C71C2×#57711yescharacteristic
836D71—42no—
837D71—81no—
838D71#337614yesdirect product factor
839C2×#556—711no—
840C2×#554—711no—
841#3376—711no—
842#3376—711no—
843#3376—711no—
844#3376—711no—
845#3376—711no—
846#3376—711no—
847#3376—711no—
848#3376—711no—
849#3376—711no—
850#3376—711no—
851#3376—711no—
852#3376—711no—
853#3376—711no—
854#3376—711no—
855#3376—711no—
856#3376D7111yescharacteristic, direct product factor
857C2×#491—711no—
858C2×#489—711no—
859C2×#488—711no—
860C2×#479—711no—
861C2×#475—711no—
862C2×#478—711no—
863C2×#463—711no—
864C2×#463—711no—
865C2×#461—711no—
866C2×#446—711no—
867C2×#442—711no—
868C2×#440—711no—
869C2×C4×SD16—711no—
870C71C2×#337611yescharacteristic, complemented, Sylow
871C22×SD16—711no—
872C22×SD16—711no—
873C22×D8—711no—
874#556—711no—
875#556—711no—
876#556—711no—
877#556—711no—
878#556—711no—
879#556—711no—
880#556—711no—
881#556—1421no—
882#556—1421no—
883#556—1421no—
884#556—1421no—
885#556C2×D7111yescharacteristic, complemented
886#554—711no—
887#554—711no—
888#554—711no—
889#554—711no—
890#554—711no—
891#554—711no—
892#554—711no—
893#554—1421no—
894#554—1421no—
895#554—1421no—
896#554—1421no—
897#554C2×D7111yescharacteristic, complemented
898C2×C4⋊Q8—711no—
899C2×C4⋊Q8—711no—
900C2×#126—1421no—
901C2×#126—1421no—
902C2×#125—711no—
903C2×#125—711no—
904C2×#124—711no—
905C2×#124—711no—
906C2×C22⋊Q8—1421no—
907C2×C22⋊Q8—1421no—
908C2×C22⋊Q8—1421no—
909C2×C22⋊Q8—1421no—
910C2×C4×Q8—711no—
911C2×C4×Q8—711no—
912C2×C4×Q8—711no—
913C2×C4×D4—711no—
914C2×C4×D4—711no—
915C2×C4×D4—711no—
916C2×C4×D4—711no—
917C2×#117—1421no—
918C22×C4⋊C4—1421no—
919#491—711no—
920#491—711no—
921#491—711no—
922#491—711no—
923#491—711no—
924#491—711no—
925#491—711no—
926#491C2×D7111yescharacteristic, complemented
927#489—711no—
928#489—711no—
929#489—711no—
930#489—711no—
931#489—711no—
932#489—711no—
933#489—711no—
934#489C2×D7111yescharacteristic, complemented
935#488—711no—
936#488—711no—
937#488—711no—
938#488—711no—
939#488—711no—
940#488—711no—
941#488—711no—
942#488C2×D7111yescharacteristic, complemented
943#479—711no—
944#479—711no—
945#479—711no—
946#479—711no—
947#479—711no—
948#479—711no—
949#479—711no—
950#479C2×D7111yescharacteristic, complemented
951#478—711no—
952#478—711no—
953#478—711no—
954#478—711no—
955#478—711no—
956#478—711no—
957#478—711no—
958#478C2×D7111yescharacteristic, complemented
959#475—711no—
960#475—711no—
961#475—711no—
962#475—711no—
963#475—711no—
964#475—711no—
965#475—711no—
966#475C2×D7111yescharacteristic, complemented
967#463—711no—
968#463—711no—
969#463—711no—
970#463—711no—
971#463—711no—
972#463—711no—
973#463—711no—
974#463—711no—
975#463—711no—
976#463—711no—
977#463—711no—
978#463—711no—
979#463—711no—
980#463—711no—
981#463C2×D7111yescharacteristic
982#463C2×D7111yescharacteristic
983#461—711no—
984#461—711no—
985#461—711no—
986#461—711no—
987#461—711no—
988#461—711no—
989#461—711no—
990#461C2×D7111yescharacteristic, complemented
991#446—711no—
992#446—711no—
993#446—711no—
994#446—711no—
995#446—711no—
996#446—711no—
997#446—711no—
998#446C2×D7111yescharacteristic, complemented
999#442—711no—
1000#442—711no—
1001#442—711no—
1002#442—711no—
1003#442—711no—
1004#442—711no—
1005#442—711no—
1006#442C2×D7111yescharacteristic
1007#440—711no—
1008#440—711no—
1009#440—711no—
1010#440—711no—
1011#440—711no—
1012#440—711no—
1013#440—711no—
1014#440C2×D7111yescharacteristic, complemented
1015C4×SD16—711no—
1016C4×SD16—711no—
1017C4×SD16—711no—
1018C4×SD16—711no—
1019C4×SD16—711no—
1020C4×SD16—711no—
1021C4×SD16—711no—
1022C4×SD16C2×D7111yescharacteristic, complemented
1023C2×#107—711no—
1024C2×#106—711no—
1025C2×#106—711no—
1026C2×C4⋊C8—711no—
1027C2×C4⋊C8—711no—
1028C2×C4⋊C8—711no—
1029C2×#103—711no—
1030C2×#103—711no—
1031C2×#103—711no—
1032C2×#103—711no—
1033C2×#103—711no—
1034C2×#103—711no—
1035C2×#102—711no—
1036C2×#102—711no—
1037C2×#102—711no—
1038C2×#102—711no—
1039C2×#97—711no—
1040C2×#97—711no—
1041C2×C4×C8—711no—
1042C22×Q8—711no—
1043C22×Q8—711no—
1044C22×Q8—711no—
1045C22×Q8—1421no—
1046C22×D4—711no—
1047C22×D4—711no—
1048C23×C4—1421no—
1049C23×C4—1421no—
1050C23×C4—1421no—
1051C23×C4—1421no—
1052C2×SD16—711no—
1053C2×SD16—711no—
1054C2×SD16—711no—
1055C2×SD16—711no—
1056C2×SD16—711no—
1057C2×SD16—711no—
1058C2×SD16—1424no—
1059C2×SD16—1424no—
1060C2×SD16C22×D7111yescharacteristic
1061C2×SD16C22×D7111yescharacteristic
1062C2×D8—711no—
1063C2×D8—711no—
1064C2×D8—711no—
1065C2×D8—1424no—
1066C2×D8C22×D7111yescharacteristic
1067C22×C8—711no—
1068C22×C8—711no—
1069C22×C8—711no—
1070C22×C8—711no—
1071C4⋊Q8—711no—
1072C4⋊Q8—711no—
1073C4⋊Q8—711no—
1074C4⋊Q8—711no—
1075C4⋊Q8—711no—
1076C4⋊Q8—711no—
1077C4⋊Q8—1421no—
1078C4⋊Q8—1421no—
1079C4⋊Q8—1421no—
1080C4⋊Q8—1421no—
1081C4⋊Q8C22×D7111yescharacteristic
1082C4⋊Q8C22×D7111yescharacteristic
1083#126—21no—
1084#126—21no—
1085#126—1421no—
1086#126—1421no—
1087#126—1421no—
1088#126—1421no—
1089#126—1421no—
1090#126—1421no—
1091#126—1421no—
1092#126—1421no—
1093#126—1421no—
1094#126—1421no—
1095#126—1421no—
1096#126—1421no—
1097#126—1421no—
1098#126—1421no—
1099#125—711no—
1100#125—711no—
1101#125—711no—
1102#125—711no—
1103#125—711no—
1104#125—711no—
1105#125—1421no—
1106#125—1421no—
1107#125—1421no—
1108#125—1421no—
1109#125C22×D7111yescharacteristic
1110#125C22×D7111yescharacteristic
1111#124—711no—
1112#124—711no—
1113#124—711no—
1114#124—711no—
1115#124—711no—
1116#124—711no—
1117#124—1421no—
1118#124—1421no—
1119#124—1421no—
1120#124—1421no—
1121#124C22×D7111yescharacteristic
1122#124C22×D7111yescharacteristic
1123C22⋊Q8—21no—
1124C22⋊Q8—21no—
1125C22⋊Q8—21no—
1126C22⋊Q8—21no—
1127C22⋊Q8—1421no—
1128C22⋊Q8—1421no—
1129C22⋊Q8—1421no—
1130C22⋊Q8—1421no—
1131C22⋊Q8—1421no—
1132C22⋊Q8—1421no—
1133C22⋊Q8—1421no—
1134C22⋊Q8—1421no—
1135C22⋊Q8—1421no—
1136C22⋊Q8—1421no—
1137C22⋊Q8—1421no—
1138C22⋊Q8—1421no—
1139C22⋊Q8—1421no—
1140C22⋊Q8—1421no—
1141C22⋊Q8—1421no—
1142C22⋊Q8—1421no—
1143C22⋊Q8—1421no—
1144C22⋊Q8—1421no—
1145C22⋊Q8—1421no—
1146C22⋊Q8—1421no—
1147C22⋊Q8—1421no—
1148C22⋊Q8—1421no—
1149C22⋊Q8—1421no—
1150C22⋊Q8—1421no—
1151C22⋊Q8—1421no—
1152C22⋊Q8—1421no—
1153C22⋊Q8—1421no—
1154C22⋊Q8—1421no—
1155C4×Q8—711no—
1156C4×Q8—711no—
1157C4×Q8—711no—
1158C4×Q8—711no—
1159C4×Q8—711no—
1160C4×Q8—711no—
1161C4×Q8—711no—
1162C4×Q8—711no—
1163C4×Q8—711no—
1164C4×Q8—711no—
1165C4×Q8—711no—
1166C4×Q8—711no—
1167C4×Q8—711no—
1168C4×Q8—1421no—
1169C4×Q8—1421no—
1170C4×Q8—1421no—
1171C4×Q8—1421no—
1172C4×Q8C22×D7111yescharacteristic
1173C4×Q8C22×D7111yescharacteristic
1174C4×Q8C22×D7111yescharacteristic
1175C4×D4—711no—
1176C4×D4—711no—
1177C4×D4—711no—
1178C4×D4—711no—
1179C4×D4—711no—
1180C4×D4—711no—
1181C4×D4—711no—
1182C4×D4—711no—
1183C4×D4—711no—
1184C4×D4—711no—
1185C4×D4—711no—
1186C4×D4—711no—
1187C4×D4—1421no—
1188C4×D4—1421no—
1189C4×D4—1421no—
1190C4×D4—1421no—
1191C4×D4—1421no—
1192C4×D4—1421no—
1193C4×D4—1421no—
1194C4×D4—1421no—
1195C4×D4C22×D7111yescharacteristic
1196C4×D4C22×D7111yescharacteristic
1197C4×D4C22×D7111yescharacteristic
1198C4×D4C22×D7111yescharacteristic
1199#117—21no—
1200#117—1421no—
1201#117—1421no—
1202#117—1421no—
1203#117—1421no—
1204#117—1421no—
1205#117—1421no—
1206#117—1421no—
1207C2×C4⋊C4—21no—
1208C2×C4⋊C4—711no—
1209C2×C4⋊C4—711no—
1210C2×C4⋊C4—711no—
1211C2×C4⋊C4—711no—
1212C2×C4⋊C4—711no—
1213C2×C4⋊C4—711no—
1214C2×C4⋊C4—711no—
1215C2×C4⋊C4—1421no—
1216C2×C4⋊C4—1421no—
1217C2×C4⋊C4—1421no—
1218C2×C4⋊C4—1421no—
1219C2×C4⋊C4—1421no—
1220C2×C4⋊C4—1421no—
1221C2×C4⋊C4—1421no—
1222C2×C4⋊C4—1421no—
1223C2×C4⋊C4—1421no—
1224C2×C4⋊C4—1421no—
1225C2×C4⋊C4—1421no—
1226C2×C4⋊C4—1421no—
1227C2×C4⋊C4—1421no—
1228C2×C4⋊C4—1421no—
1229C2×C4⋊C4—1421no—
1230C2×C4⋊C4—1421no—
1231C2×C22⋊C4—1421no—
1232C2×C22⋊C4—1421no—
1233C2×C22⋊C4—1421no—
1234C2×C22⋊C4—1421no—
1235C2×C22⋊C4—1421no—
1236C2×C22⋊C4—1421no—
1237C2×C22⋊C4—1421no—
1238C2×C22⋊C4—1421no—
1239C2×C42—711no—
1240C2×C42—711no—
1241C2×C42—711no—
1242C2×C42—1421no—
1243C2×C42—1421no—
1244#107—711no—
1245#107—711no—
1246#107—711no—
1247#107C22×D7111yescharacteristic
1248#106—711no—
1249#106—711no—
1250#106—711no—
1251#106—711no—
1252#106—711no—
1253#106—711no—
1254#106C22×D7111yescharacteristic
1255#106C22×D7111yescharacteristic
1256C4⋊C8—711no—
1257C4⋊C8—711no—
1258C4⋊C8—711no—
1259C4⋊C8—711no—
1260C4⋊C8—711no—
1261C4⋊C8—711no—
1262C4⋊C8—711no—
1263C4⋊C8—711no—
1264C4⋊C8—711no—
1265C4⋊C8C22×D7111yescharacteristic
1266C4⋊C8C22×D7111yescharacteristic
1267C4⋊C8C22×D7111yescharacteristic
1268#103—711no—
1269#103—711no—
1270#103—711no—
1271#103—711no—
1272#103—711no—
1273#103—711no—
1274#103—711no—
1275#103—711no—
1276#103—711no—
1277#103—711no—
1278#103—711no—
1279#103—711no—
1280#103—711no—
1281#103—711no—
1282#103—711no—
1283#103—711no—
1284#103—711no—
1285#103—711no—
1286#103C22×D7111yescharacteristic
1287#103C22×D7111yescharacteristic
1288#103C22×D7111yescharacteristic
1289#103C22×D7111yescharacteristic
1290#103C22×D7111yescharacteristic
1291#103C22×D7111yescharacteristic
1292#102—711no—
1293#102—711no—
1294#102—711no—
1295#102—711no—
1296#102—711no—
1297#102—711no—
1298#102—711no—
1299#102—711no—
1300#102—711no—
1301#102—711no—
1302#102—711no—
1303#102—711no—
1304#102C22×D7111yescharacteristic
1305#102C22×D7111yescharacteristic
1306#102C22×D7111yescharacteristic
1307#102C22×D7111yescharacteristic
1308#97—711no—
1309#97—711no—
1310#97—711no—
1311#97—711no—
1312#97—711no—
1313#97—711no—
1314#97C22×D7111yescharacteristic
1315#97C22×D7111yescharacteristic
1316C4×C8—711no—
1317C4×C8—711no—
1318C4×C8—711no—
1319C4×C8C22×D7111yescharacteristic
1320C24—1421no—
1321C24—1421no—
1322C2×Q8—21no—
1323C2×Q8—2842no—
1324C2×Q8—5682no—
1325C2×Q8—711no—
1326C2×Q8—711no—
1327C2×Q8—711no—
1328C2×Q8—711no—
1329C2×Q8—711no—
1330C2×Q8—1421no—
1331C2×Q8—1421no—
1332C2×Q8—1421no—
1333C2×Q8—1421no—
1334C2×Q8—1422no—
1335C2×Q8—1422no—
1336C2×Q8—1422no—
1337C2×Q8—1422no—
1338C2×Q8—1421no—
1339C2×Q8D4×D7111yescharacteristic
1340C2×Q8C23×D7111yescharacteristic
1341C2×Q8C23×D7111yescharacteristic
1342C2×D4—714no—
1343C2×D4—711no—
1344C2×D4—711no—
1345C2×D4—1422no—
1346C2×D4—1422no—
1347C2×D4—1422no—
1348C2×D4—1421no—
1349C2×D4—1421no—
1350C2×D4C23×D7111yescharacteristic
1351C2×D4C23×D7111yescharacteristic
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—2844no—
1357C22×C4—2844no—
1358C22×C4—5682no—
1359C22×C4—5682no—
1360C22×C4—711no—
1361C22×C4—711no—
1362C22×C4—711no—
1363C22×C4—711no—
1364C22×C4—711no—
1365C22×C4—711no—
1366C22×C4—711no—
1367C22×C4—1421no—
1368C22×C4—1421no—
1369C22×C4—1421no—
1370C22×C4—1421no—
1371C22×C4—1421no—
1372C22×C4—1421no—
1373C22×C4—1421no—
1374C22×C4—1421no—
1375C22×C4—1421no—
1376C22×C4—1421no—
1377C22×C4—1421no—
1378C22×C4—1421no—
1379C22×C4—1421no—
1380C22×C4—1421no—
1381C22×C4—1421no—
1382C22×C4—1421no—
1383C22×C4—1421no—
1384C22×C4—1421no—
1385SD16—22no—
1386SD16—22no—
1387SD16—1422no—
1388SD16—1422no—
1389SD16—1422no—
1390SD16—1422no—
1391SD16—1422no—
1392SD16—1422no—
1393D8—22no—
1394D8—1422no—
1395D8—1422no—
1396D8—1422no—
1397C2×C8—711no—
1398C2×C8—711no—
1399C2×C8—711no—
1400C2×C8—711no—
1401C2×C8—1422no—
1402C2×C8—1422no—
1403C2×C8—1422no—
1404C2×C8—1422no—
1405C2×C8C23×D7111yescharacteristic
1406C2×C8C23×D7111yescharacteristic
1407C2×C8C23×D7111yescharacteristic
1408C2×C8C23×D7111yescharacteristic
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—711no—
1419C4⋊C4—711no—
1420C4⋊C4—711no—
1421C4⋊C4—711no—
1422C4⋊C4—711no—
1423C4⋊C4—711no—
1424C4⋊C4—711no—
1425C4⋊C4—711no—
1426C4⋊C4—711no—
1427C4⋊C4—711no—
1428C4⋊C4—711no—
1429C4⋊C4—711no—
1430C4⋊C4—711no—
1431C4⋊C4—1421no—
1432C4⋊C4—1421no—
1433C4⋊C4—1421no—
1434C4⋊C4—1421no—
1435C4⋊C4—1421no—
1436C4⋊C4—1421no—
1437C4⋊C4—1421no—
1438C4⋊C4—1421no—
1439C4⋊C4—1421no—
1440C4⋊C4—1421no—
1441C4⋊C4—1421no—
1442C4⋊C4—1421no—
1443C4⋊C4—1421no—
1444C4⋊C4—1421no—
1445C4⋊C4—1421no—
1446C4⋊C4—1421no—
1447C4⋊C4—1421no—
1448C4⋊C4—1421no—
1449C4⋊C4—1421no—
1450C4⋊C4—1421no—
1451C4⋊C4—1421no—
1452C4⋊C4—1421no—
1453C4⋊C4—1421no—
1454C4⋊C4—1421no—
1455C4⋊C4—1421no—
1456C4⋊C4—1421no—
1457C4⋊C4—1421no—
1458C4⋊C4—1421no—
1459C4⋊C4—1421no—
1460C4⋊C4—1421no—
1461C4⋊C4—1421no—
1462C4⋊C4D4×D7111yescharacteristic
1463C4⋊C4D4×D7111yescharacteristic
1464C4⋊C4D4×D7111yescharacteristic
1465C4⋊C4C23×D7111yescharacteristic
1466C4⋊C4C23×D7111yescharacteristic
1467C4⋊C4C23×D7111yescharacteristic
1468C4⋊C4C23×D7111yescharacteristic
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—1421no—
1478C22⋊C4—1421no—
1479C22⋊C4—1421no—
1480C22⋊C4—1421no—
1481C22⋊C4—1421no—
1482C22⋊C4—1421no—
1483C22⋊C4—1421no—
1484C22⋊C4—1421no—
1485C22⋊C4—1421no—
1486C22⋊C4—1421no—
1487C22⋊C4—1421no—
1488C22⋊C4—1421no—
1489C22⋊C4—1421no—
1490C22⋊C4—1421no—
1491C22⋊C4—1421no—
1492C22⋊C4—1421no—
1493C22⋊C4—1421no—
1494C22⋊C4—1421no—
1495C22⋊C4—1421no—
1496C22⋊C4—1421no—
1497C22⋊C4—1421no—
1498C22⋊C4—1421no—
1499C22⋊C4—1421no—
1500C22⋊C4—1421no—
1501C42—21no—
1502C42—21no—
1503C42—711no—
1504C42—711no—
1505C42—711no—
1506C42—711no—
1507C42—711no—
1508C42—711no—
1509C42—711no—
1510C42—711no—
1511C42—711no—
1512C42—1421no—
1513C42—1421no—
1514C42—1421no—
1515C42—1421no—
1516C42—1421no—
1517C42—1421no—
1518C42C23×D7111yescharacteristic
1519C42C23×D7111yescharacteristic
1520C42C23×D7111yescharacteristic
1521C23—21no—
1522C23—21no—
1523C23—2842no—
1524C23—2842no—
1525C23—2842no—
1526C23—2842no—
1527C23—2842no—
1528C23—711no—
1529C23—1424no—
1530C23—1421no—
1531C23—1421no—
1532Q8—21no—
1533Q8—21no—
1534Q8—21no—
1535Q8—21no—
1536Q8—41no—
1537Q8—81no—
1538Q8—2841no—
1539Q8—2841no—
1540Q8—2841no—
1541Q8—2842no—
1542Q8—2842no—
1543Q8—5681no—
1544Q8—5681no—
1545Q8—5681no—
1546Q8—1421no—
1547Q8—1421no—
1548Q8—1421no—
1549Q8—1421no—
1550D4—21no—
1551D4—21no—
1552D4—21no—
1553D4—2842no—
1554D4—712no—
1555D4—1424no—
1556D4—1421no—
1557D4—1421no—
1558D4—1421no—
1559D4#41×D7112yes—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—42no—
1567C2×C4—42no—
1568C2×C4—81no—
1569C2×C4—81no—
1570C2×C4—2842no—
1571C2×C4—2842no—
1572C2×C4—2842no—
1573C2×C4—2842no—
1574C2×C4—2842no—
1575C2×C4—2842no—
1576C2×C4—2842no—
1577C2×C4—2842no—
1578C2×C4—2842no—
1579C2×C4—2842no—
1580C2×C4—2842no—
1581C2×C4—2842no—
1582C2×C4—5681no—
1583C2×C4—5681no—
1584C2×C4—5681no—
1585C2×C4—5681no—
1586C2×C4—5681no—
1587C2×C4—5681no—
1588C2×C4—711no—
1589C2×C4—712no—
1590C2×C4—712no—
1591C2×C4—711no—
1592C2×C4—711no—
1593C2×C4—711no—
1594C2×C4—711no—
1595C2×C4—711no—
1596C2×C4—711no—
1597C2×C4—1422no—
1598C2×C4—1422no—
1599C2×C4—1422no—
1600C2×C4—1422no—
1601C2×C4—1422no—
1602C2×C4—1422no—
1603C2×C4—1421no—
1604C2×C4—1421no—
1605C2×C4—1421no—
1606C2×C4—1421no—
1607C2×C4—1421no—
1608C2×C4—1421no—
1609C2×C4C2×D4×D7111yescharacteristic
1610C2×C4C2×D4×D7111yescharacteristic
1611C2×C4C2×D4×D7111yescharacteristic
1612C2×C4C2×D4×D7111yescharacteristic
1613C2×C4C2×D4×D7111yescharacteristic
1614C2×C4C2×D4×D7111yescharacteristic
1615C2×C4C24×D7111yescharacteristic
1616C8—21no—
1617C8—21no—
1618C8—21no—
1619C8—21no—
1620C8—1421no—
1621C8—1421no—
1622C8—1421no—
1623C8—1421no—
1624C22—22no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—2848no—
1631C22—2841no—
1632C22—2841no—
1633C22—2841no—
1634C22—2841no—
1635C22—2841no—
1636C22—5684no—
1637C22—712no—
1638C22—712no—
1639C22—712no—
1640C22—1422no—
1641C22C22×D4×D7111yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—21no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—2841no—
1655C4—2841no—
1656C4—2841no—
1657C4—2841no—
1658C4—2841no—
1659C4—2841no—
1660C4—712no—
1661C4—1421no—
1662C4—1421no—
1663C4—1421no—
1664C4—1421no—
1665C4—1421no—
1666C4—1421no—
1667C4C2×#41×D7111yescharacteristic
1668C42−1+4×D7111yescharacteristic
1669C2—42no—
1670C2—81no—
1671C2—2842no—
1672C2—5681no—
1673C2—714no—
1674C2#548×D7111yescharacteristic
1675C2#575×D7111yescharacteristic
1676C2#577×D7111yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3376C2
socleC22×C71C23×D4
prime radicalC2×D8×D71C22
hypercenter#3376D71
hypocenterC71C2×#3376
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3376

Complements

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

NH ≅ G/Ntype
1. #556×D71C2semidirect
2. #554×D71C2semidirect
3. #22601174C2semidirect
4. #22601173C2semidirect
5. #22601172C2semidirect
6. #22601171C2semidirect
7. #22601170C2semidirect
8. #22601169C2semidirect
9. #22601168C2semidirect
10. #22601167C2semidirect
11. #22601166C2semidirect
12. #22601165C2semidirect
13. #22601164C2semidirect
14. #22601163C2semidirect
15. #22601162C2semidirect
16. #22601161C2semidirect
17. #22601160C2semidirect
18. #491×D71C2semidirect
19. #489×D71C2semidirect
20. #488×D71C2semidirect
21. #479×D71C2semidirect
22. #475×D71C2semidirect
23. #478×D71C2semidirect
26. #461×D71C2semidirect
27. #446×D71C2semidirect
29. #440×D71C2semidirect
30. C4×SD16×D71C2semidirect
31. C71×#3376C2semidirect
35. #17986723C22semidirect
36. #17986722C22semidirect
37. #17986721C22semidirect
38. #17986721C22semidirect
40. #17986719C22semidirect
41. #17986718C22semidirect
42. #17986718C22semidirect
46. #17986710C22semidirect
47. #17986709C22semidirect
48. #17986708C22semidirect
49. #17986708C22semidirect
51. #17986706C22semidirect
52. #17986705C22semidirect
53. #17986705C22semidirect
78. #17986369C22semidirect
79. #17986368C22semidirect
80. #17986367C22semidirect
81. #17986366C22semidirect
82. #17986366C22semidirect
83. #17986366C22semidirect
84. #17986366C22semidirect
85. #17986361C22semidirect
86. #17986360C22semidirect
87. #17986360C22semidirect
88. #17986359C22semidirect
89. #17986358C22semidirect
90. #17986357C22semidirect
91. #17986357C22semidirect
92. #17986356C22semidirect
93. #17986355C22semidirect
94. #17986355C22semidirect
95. #17986354C22semidirect
96. #17986353C22semidirect
97. #17986352C22semidirect
98. #17986352C22semidirect
99. #17986309C22semidirect
100. #17986308C22semidirect
101. #17986307C22semidirect
102. #17986306C22semidirect
103. #17986305C22semidirect
104. #17986304C22semidirect
105. #17986303C22semidirect
106. #17986302C22semidirect
107. #17986301C22semidirect
108. #17986300C22semidirect
109. #17986299C22semidirect
110. #17986298C22semidirect
111. #17986297C22semidirect
112. #17986296C22semidirect
113. #17986285C22semidirect
114. #17986284C22semidirect
115. #17986283C22semidirect
116. #17986283C22semidirect
117. #17986282C22semidirect
118. #17986282C22semidirect
119. #17986281C22semidirect
134. #17986205C22semidirect
135. #17986204C22semidirect
136. #17986203C22semidirect
137. #17986203C22semidirect
138. #17986202C22semidirect
139. #17986202C22semidirect
140. #17986201C22semidirect
141. #17986130C22semidirect
142. #17986129C22semidirect
143. #17986128C22semidirect
144. #17986128C22semidirect
145. #17986127C22semidirect
146. #17986127C22semidirect
147. #17986126C22semidirect
155. #17986102C22semidirect
156. #17986101C22semidirect
157. #17986100C22semidirect
158. #17986099C22semidirect
159. #17986098C22semidirect
160. #17986097C22semidirect
161. #17986096C22semidirect
162. #17986090C22semidirect
163. C4×#11765854C22semidirect
164. SD16×Dic71C22semidirect
165. C4×#11765852C22semidirect
166. #17986086C22semidirect
167. C4×#11765853C22semidirect
168. #17986084C22semidirect
188. #556×C71C22semidirect
189. #554×C71C22semidirect
190. #491×C71C22semidirect
191. #489×C71C22semidirect
192. #488×C71C22semidirect
193. #479×C71C22semidirect
194. #478×C71C22semidirect
195. #475×C71C22semidirect
198. #461×C71C22semidirect
199. #446×C71C22semidirect
201. #440×C71C22semidirect
202. C4×SD16×C71C22semidirect
838. D71#3376direct (N × H)
856. #3376D71direct (N × H)
870. C71C2×#3376semidirect
885. #556C2×D71semidirect
897. #554C2×D71semidirect
926. #491C2×D71semidirect
934. #489C2×D71semidirect
942. #488C2×D71semidirect
950. #479C2×D71semidirect
958. #478C2×D71semidirect
966. #475C2×D71semidirect
990. #461C2×D71semidirect
998. #446C2×D71semidirect
1014. #440C2×D71semidirect
1022. C4×SD16C2×D71semidirect

Maximal subgroups

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

subgroupindex
#556×D712
#554×D712
#226011742
#226011732
#226011722
#226011712
#226011702
#226011692
#226011682
#226011672
#226011662
#226011652
#226011642
#226011632
#226011622
#226011612
#226011602
#491×D712
#489×D712
#488×D712
#479×D712
#475×D712
#478×D712
#463×D712
#461×D712
#446×D712
#442×D712
#440×D712
C4×SD16×D712
C71×#33762
C2×#337671