Finite Group Databasebeta

← #3388×D71 #32877971

Subgroups — #3388×D71 #32877971

Order 18176.

1822 conjugacy classes of subgroups.

The subgroup lattice has 1612 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#557×D71C211yesmaximal, characteristic, complemented
2#554×D71C211yesmaximal, characteristic
3#22601292C211yesmaximal, characteristic, complemented
4#22601291C211yesmaximal, characteristic, complemented
5#22601290C211yesmaximal, characteristic, complemented
6#22601289C211yesmaximal, characteristic, complemented
7#22601288C211yesmaximal, characteristic, complemented
8#22601287C211yesmaximal, characteristic, complemented
9#22601286C211yesmaximal, characteristic, complemented
10#22601285C211yesmaximal, characteristic, complemented
11#22601284C211yesmaximal, characteristic, complemented
12#22601283C211yesmaximal, characteristic, complemented
13#22601282C211yesmaximal, characteristic, complemented
14#22601281C211yesmaximal, characteristic, complemented
15#22601280C211yesmaximal, characteristic, complemented
16#22601279C211yesmaximal, characteristic, complemented
17#22601278C211yesmaximal, characteristic, complemented
18#501×D71C211yesmaximal, characteristic, complemented
19#501×D71C211yesmaximal, characteristic, complemented
20#499×D71C211yesmaximal, characteristic, complemented
21#479×D71C211yesmaximal, characteristic, complemented
22#479×D71C211yesmaximal, characteristic, complemented
23#475×D71C211yesmaximal, characteristic, complemented
24#478×D71C211yesmaximal, characteristic
25#478×D71C211yesmaximal, characteristic
26#476×D71C211yesmaximal, characteristic
27#446×D71C211yesmaximal, characteristic, complemented
28#440×D71C211yesmaximal, characteristic
29#440×D71C211yesmaximal, characteristic
30C4×SD16×D71C211yesmaximal, characteristic
31C71×#3388C211yesmaximal, characteristic, complemented
32C2×SD16×D71C2211yescharacteristic
33#17986728C2211yescharacteristic, complemented
34#17986727—21no—
35#17986727C2211yescharacteristic, complemented
36#17986726—21no—
37#17986726—21no—
38#17986726C2211yescharacteristic, complemented
39#17986726C2211yescharacteristic, complemented
40#17986725C2211yescharacteristic, complemented
41#17986725C2211yescharacteristic, complemented
42#17986724—21no—
43#17986724C2211yescharacteristic, complemented
44#17986710C2211yescharacteristic
45#17986709C2211yescharacteristic
46#17986708C2211yescharacteristic
47#17986708C2211yescharacteristic
48#17986707—21no—
49#17986706C2211yescharacteristic
50#17986705C2211yescharacteristic
51#17986705C2211yescharacteristic
52#17986704—21no—
53#17986703—21no—
54#17986703—21no—
55C4⋊Q8×D71—21no—
56C4⋊Q8×D71C2211yescharacteristic
57C4⋊Q8×D71C2211yescharacteristic
58#125×D71—21no—
59#125×D71—21no—
60#125×D71C2211yescharacteristic
61#125×D71C2211yescharacteristic
62#125×D71C2211yescharacteristic
63#125×D71C2211yescharacteristic
64C22⋊Q8×D71—21no—
65C22⋊Q8×D71—21no—
66C22⋊Q8×D71—21no—
67C4×Q8×D71—21no—
68C4×Q8×D71C2211yescharacteristic
69C4×Q8×D71C2211yescharacteristic
70C4×Q8×D71C2211yescharacteristic
71C4×Q8×D71C2211yescharacteristic
72C4×D4×D71C2211yescharacteristic
73C4×D4×D71C2211yescharacteristic
74C4×D4×D71C2211yescharacteristic
75C2×C4⋊C4×D71—21no—
76#17986409C2211yescharacteristic, complemented
77#17986409C2211yescharacteristic, complemented
78#17986408C2211yescharacteristic, complemented
79#17986408C2211yescharacteristic, complemented
80#17986407C2211yescharacteristic, complemented
81#17986407C2211yescharacteristic, complemented
82#17986407C2211yescharacteristic, complemented
83#17986407C2211yescharacteristic, complemented
84#17986406C2211yescharacteristic, complemented
85#17986406C2211yescharacteristic, complemented
86#17986406C2211yescharacteristic, complemented
87#17986406C2211yescharacteristic, complemented
88#17986405C2211yescharacteristic, complemented
89#17986405C2211yescharacteristic, complemented
90#17986401C2211yescharacteristic, complemented
91#17986400C2211yescharacteristic, complemented
92#17986400C2211yescharacteristic, complemented
93#17986399C2211yescharacteristic, complemented
94#17986399C2211yescharacteristic, complemented
95#17986398C2211yescharacteristic, complemented
96#17986398C2211yescharacteristic, complemented
97#17986309C2211yescharacteristic, complemented
98#17986309C2211yescharacteristic, complemented
99#17986308C2211yescharacteristic, complemented
100#17986308C2211yescharacteristic, complemented
101#17986307C2211yescharacteristic, complemented
102#17986307C2211yescharacteristic, complemented
103#17986306C2211yescharacteristic, complemented
104#17986306C2211yescharacteristic, complemented
105#17986305C2211yescharacteristic, complemented
106#17986305C2211yescharacteristic, complemented
107#17986304C2211yescharacteristic, complemented
108#17986304C2211yescharacteristic, complemented
109#17986303C2211yescharacteristic, complemented
110#17986303C2211yescharacteristic, complemented
111#17986302C2211yescharacteristic
112#17986302C2211yescharacteristic
113#17986301C2211yescharacteristic
114#17986301C2211yescharacteristic
115#17986300C2211yescharacteristic
116#17986300C2211yescharacteristic
117#17986299C2211yescharacteristic
118#17986299C2211yescharacteristic
119#17986298C2211yescharacteristic
120#17986298C2211yescharacteristic
121#17986297C2211yescharacteristic
122#17986297C2211yescharacteristic
123#17986296C2211yescharacteristic
124#17986296C2211yescharacteristic
125#17986290C2211yescharacteristic
126#17986289C2211yescharacteristic
127#17986288C2211yescharacteristic
128#17986288C2211yescharacteristic
129#17986287C2211yescharacteristic
130#17986287C2211yescharacteristic
131#17986286C2211yescharacteristic
132#17986285C2211yescharacteristic, complemented
133#17986284C2211yescharacteristic, complemented
134#17986283C2211yescharacteristic, complemented
135#17986283C2211yescharacteristic, complemented
136#17986282C2211yescharacteristic, complemented
137#17986282C2211yescharacteristic, complemented
138#17986281C2211yescharacteristic, complemented
139#17986130C2211yescharacteristic, complemented
140#17986129C2211yescharacteristic, complemented
141#17986128C2211yescharacteristic, complemented
142#17986128C2211yescharacteristic, complemented
143#17986127C2211yescharacteristic, complemented
144#17986127C2211yescharacteristic, complemented
145#17986126C2211yescharacteristic, complemented
146#17986102C2211yescharacteristic
147#17986102C2211yescharacteristic
148#17986101C2211yescharacteristic
149#17986101C2211yescharacteristic
150#17986100C2211yescharacteristic
151#17986100C2211yescharacteristic
152#17986099C2211yescharacteristic
153#17986099C2211yescharacteristic
154#17986098C2211yescharacteristic
155#17986098C2211yescharacteristic
156#17986097C2211yescharacteristic
157#17986097C2211yescharacteristic
158#17986096C2211yescharacteristic
159#17986096C2211yescharacteristic
160#17986090C2211yescharacteristic
161C4×#11765854C2211yescharacteristic
162SD16×Dic71C2211yescharacteristic
163C4×#11765852C2211yescharacteristic
164#17986086C2211yescharacteristic
165C4×#11765853C2211yescharacteristic
166#17986084C2211yescharacteristic
167#107×D71C2211yescharacteristic
168#107×D71C2211yescharacteristic
169#107×D71C2211yescharacteristic
170#107×D71C2211yescharacteristic
171#106×D71C2211yescharacteristic
172#106×D71C2211yescharacteristic
173#106×D71C2211yescharacteristic
174#106×D71C2211yescharacteristic
175#106×D71C2211yescharacteristic
176C4⋊C8×D71C2211yescharacteristic
177C4⋊C8×D71C2211yescharacteristic
178C4⋊C8×D71C2211yescharacteristic
179#103×D71C2211yescharacteristic
180#103×D71C2211yescharacteristic
181#103×D71C2211yescharacteristic
182#102×D71C2211yescharacteristic
183#102×D71C2211yescharacteristic
184#102×D71C2211yescharacteristic
185#97×D71C2211yescharacteristic
186#97×D71C2211yescharacteristic
187C4×C8×D71C2211yescharacteristic
188#557×C71C2211yescharacteristic, complemented
189#554×C71C2211yescharacteristic
190#501×C71C2211yescharacteristic, complemented
191#501×C71C2211yescharacteristic, complemented
192#499×C71C2211yescharacteristic, complemented
193#479×C71C2211yescharacteristic, complemented
194#479×C71C2211yescharacteristic, complemented
195#478×C71C2211yescharacteristic
196#478×C71C2211yescharacteristic
197#476×C71C2211yescharacteristic
198#475×C71C2211yescharacteristic, complemented
199#446×C71C2211yescharacteristic, complemented
200#440×C71C2211yescharacteristic
201#440×C71C2211yescharacteristic
202C4×SD16×C71C2211yescharacteristic
203C2×Q8×D71—21no—
204C2×Q8×D71—21no—
205C2×Q8×D71D411yescharacteristic
206C2×Q8×D71C2311yescharacteristic
207C2×D4×D71C2311yescharacteristic
208C22×C4×D71—21no—
209C22×C4×D71—21no—
210C22×C4×D71—21no—
211C2×#11765854C2311yescharacteristic
212C2×#11765853C2311yescharacteristic
213C2×#11765852C2311yescharacteristic
214SD16×D71Q818yescomplemented
215C2×C8×D71C2311yescharacteristic
216C2×C8×D71C2311yescharacteristic
217C2×C8×D71C2311yescharacteristic
218C2×C8×D71C2311yescharacteristic
219#14556128—21no—
220#14556128C2311yescharacteristic
221#14556128C2311yescharacteristic
222#14556127—21no—
223#14556127—21no—
224#14556127—21no—
225#14556127—21no—
226#14556127—21no—
227#14556127—21no—
228#14556127C2311yescharacteristic
229#14556127C2311yescharacteristic
230#14556127C2311yescharacteristic
231#14556127C2311yescharacteristic
232#14556126—21no—
233#14556126—21no—
234#14556126—21no—
235#14556126—21no—
236#14556120—21no—
237#14556120—21no—
238#14556120C2311yescharacteristic
239#14556120C2311yescharacteristic
240#14556120C2311yescharacteristic
241#14556120C2311yescharacteristic
242#14556119—21no—
243#14556119—21no—
244#14556119—21no—
245#14556119—21no—
246#14556119C2311yescharacteristic
247#14556119C2311yescharacteristic
248#14556119C2311yescharacteristic
249#14556119C2311yescharacteristic
250#14556119C2311yescharacteristic
251#14556119C2311yescharacteristic
252#14556119C2311yescharacteristic
253#14556119C2311yescharacteristic
254#14556118—21no—
255#14556118—21no—
256#14556118—21no—
257#14556118—21no—
258#14556118—21no—
259#14556118—21no—
260#14556118—21no—
261#14556118—21no—
262#14556118—21no—
263#14556118—21no—
264#14556118—21no—
265#14556118—21no—
266#14556118—21no—
267#14556118—21no—
268#14556118—21no—
269#14556118—21no—
270#14556108—21no—
271#14556108—21no—
272#14556108—21no—
273#14556107—21no—
274#14556107—21no—
275#14556107—21no—
276#14556106—21no—
277#14556106—21no—
278#14556106—21no—
279#14556106—21no—
280#14556106—21no—
281#14556106—21no—
282#14556105—21no—
283#14556105—21no—
284#14556105—21no—
285#14556105—21no—
286#14556105—21no—
287#14556105—21no—
288#14556104—21no—
289#14556104—21no—
290#14556104—21no—
291Q8×Dic71—21no—
292Q8×Dic71D411yescharacteristic
293Q8×Dic71C2311yescharacteristic
294Q8×Dic71C2311yescharacteristic
295Q8×Dic71C2311yescharacteristic
296C4×Dic142—21no—
297C4×Dic142—21no—
298C4×Dic142—21no—
299C4×Dic142—21no—
300C4×Dic142—21no—
301C4×Dic142—21no—
302C4×Dic142C2311yescharacteristic
303C4×Dic142C2311yescharacteristic
304C4×Dic142C2311yescharacteristic
305C4×Dic142C2311yescharacteristic
306C4×Dic142C2311yescharacteristic
307C4×Dic142C2311yescharacteristic
308#14556093—21no—
309#14556093—21no—
310#14556093—21no—
311#14556093—21no—
312#14556093—21no—
313#14556093—21no—
314#14556093D411yescharacteristic
315#14556093D411yescharacteristic
316#14556093D411yescharacteristic
317#14556093C2311yescharacteristic
318#14556093C2311yescharacteristic
319#14556093C2311yescharacteristic
320C4×D284C2311yescharacteristic
321C4×D284C2311yescharacteristic
322C4×D284C2311yescharacteristic
323D4×Dic71C2311yescharacteristic
324D4×Dic71C2311yescharacteristic
325D4×Dic71C2311yescharacteristic
326#14556090C2311yescharacteristic
327#14556090C2311yescharacteristic
328#14556090C2311yescharacteristic
329C4×C22⋊D71—21no—
330C4×C22⋊D71—21no—
331C4×C22⋊D71—21no—
332(C22⋊D71)⋊C4—21no—
333(C22⋊D71)⋊C4—21no—
334(C22⋊D71)⋊C4—21no—
335C2×C4⋊Dic71—21no—
336C2×Dic71⋊C4—21no—
337C2×Dic71⋊C4—21no—
338C4⋊C4×D71—21no—
339C4⋊C4×D71—21no—
340C4⋊C4×D71—21no—
341C4⋊C4×D71—21no—
342C4⋊C4×D71—21no—
343C4⋊C4×D71—21no—
344C4⋊C4×D71—21no—
345C4⋊C4×D71—21no—
346C4⋊C4×D71—21no—
347C4⋊C4×D71—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×D71D411yescharacteristic
356C4⋊C4×D71D411yescharacteristic
357C4⋊C4×D71D411yescharacteristic
358C4⋊C4×D71C2311yescharacteristic
359C4⋊C4×D71C2311yescharacteristic
360C4⋊C4×D71C2311yescharacteristic
361C4⋊C4×D71C2311yescharacteristic
362C4⋊C4×D71C2311yescharacteristic
363C4⋊C4×D71C2311yescharacteristic
364C22⋊C4×D71—21no—
365C22⋊C4×D71—21no—
366C22⋊C4×D71—21no—
367C42×D71—21no—
368C42×D71—21no—
369C42×D71—21no—
370C42×D71C2311yescharacteristic
371C42×D71C2311yescharacteristic
372C42×D71C2311yescharacteristic
373#14556062C2311yescharacteristic
374#14556062C2311yescharacteristic
375#14556062C2311yescharacteristic
376#14556062C2311yescharacteristic
377#14556061C2311yescharacteristic
378#14556061C2311yescharacteristic
379#14556061C2311yescharacteristic
380#14556061C2311yescharacteristic
381#14556061C2311yescharacteristic
382#14556061C2311yescharacteristic
383#14556061C2311yescharacteristic
384#14556061C2311yescharacteristic
385#14556060C2311yescharacteristic
386#14556060C2311yescharacteristic
387#14556060C2311yescharacteristic
388#14556060C2311yescharacteristic
389#14556060C2311yescharacteristic
390#14556059C2311yescharacteristic
391#14556059C2311yescharacteristic
392#14556059C2311yescharacteristic
393#14556059C2311yescharacteristic
394#14556059C2311yescharacteristic
395#14556059C2311yescharacteristic
396#14556059C2311yescharacteristic
397#14556059C2311yescharacteristic
398#14556059C2311yescharacteristic
399#14556059C2311yescharacteristic
400C4⋊(C71⋊C8)C2311yescharacteristic
401C4⋊(C71⋊C8)C2311yescharacteristic
402C4⋊(C71⋊C8)C2311yescharacteristic
403Dic71⋊C8C2311yescharacteristic
404Dic71⋊C8C2311yescharacteristic
405Dic71⋊C8C2311yescharacteristic
406Dic71⋊C8C2311yescharacteristic
407Dic71⋊C8C2311yescharacteristic
408Dic71⋊C8C2311yescharacteristic
409#14556053C2311yescharacteristic
410#14556053C2311yescharacteristic
411#14556053C2311yescharacteristic
412#14556052C2311yescharacteristic
413#14556052C2311yescharacteristic
414#14556052C2311yescharacteristic
415#14556051C2311yescharacteristic
416#14556051C2311yescharacteristic
417#14556051C2311yescharacteristic
418#14556050C2311yescharacteristic
419#14556050C2311yescharacteristic
420#14556050C2311yescharacteristic
421#14556049C2311yescharacteristic
422#14556049C2311yescharacteristic
423#14556049C2311yescharacteristic
424#14556048C2311yescharacteristic
425#14556048C2311yescharacteristic
426#14556048C2311yescharacteristic
427#14556039C2311yescharacteristic
428#14556039C2311yescharacteristic
429#14556038C2311yescharacteristic
430#14556038C2311yescharacteristic
431#14556038C2311yescharacteristic
432#14556038C2311yescharacteristic
433C4×C71⋊C8C2311yescharacteristic
434C8×Dic71C2311yescharacteristic
435C8×Dic71C2311yescharacteristic
436C2×SD16×C71C2311yescharacteristic
437C4⋊Q8×C71—21no—
438C4⋊Q8×C71C2311yescharacteristic
439C4⋊Q8×C71C2311yescharacteristic
440#125×C71—21no—
441#125×C71—21no—
442#125×C71C2311yescharacteristic
443#125×C71C2311yescharacteristic
444#125×C71C2311yescharacteristic
445#125×C71C2311yescharacteristic
446C22⋊Q8×C71—21no—
447C22⋊Q8×C71—21no—
448C22⋊Q8×C71—21no—
449C4×Q8×C71—21no—
450C4×Q8×C71C2311yescharacteristic
451C4×Q8×C71C2311yescharacteristic
452C4×Q8×C71C2311yescharacteristic
453C4×Q8×C71C2311yescharacteristic
454C4×D4×C71C2311yescharacteristic
455C4×D4×C71C2311yescharacteristic
456C4×D4×C71C2311yescharacteristic
457C2×C4⋊C4×C71—21no—
458#107×C71C2311yescharacteristic
459#107×C71C2311yescharacteristic
460#107×C71C2311yescharacteristic
461#107×C71C2311yescharacteristic
462#106×C71C2311yescharacteristic
463#106×C71C2311yescharacteristic
464#106×C71C2311yescharacteristic
465#106×C71C2311yescharacteristic
466#106×C71C2311yescharacteristic
467C4⋊C8×C71C2311yescharacteristic
468C4⋊C8×C71C2311yescharacteristic
469C4⋊C8×C71C2311yescharacteristic
470#103×C71C2311yescharacteristic
471#103×C71C2311yescharacteristic
472#103×C71C2311yescharacteristic
473#102×C71C2311yescharacteristic
474#102×C71C2311yescharacteristic
475#102×C71C2311yescharacteristic
476#97×C71C2311yescharacteristic
477#97×C71C2311yescharacteristic
478C4×C8×C71C2311yescharacteristic
479C23×D71—21no—
480C2×Dic142—21no—
481C2×Dic142—21no—
482C2×Dic142—21no—
483C2×Dic142—21no—
484C2×Dic142—21no—
485C2×Dic142—21no—
486C2×Dic142—21no—
487C2×Dic142C2×D411yescharacteristic
488C2×Dic142C2×D411yescharacteristic
489C2×Dic142C2×D411yescharacteristic
490C2×Dic142C2411yescharacteristic
491Q8×D71—22no—
492Q8×D71—42no—
493Q8×D71—44no—
494Q8×D71—82no—
495Q8×D71C2×Q814yes—
496C2×D284C2411yescharacteristic
497C2×C22⋊D71—21no—
498D4×D71—22no—
499D4×D71C2×Q814yes—
500C22×Dic71—21no—
501C22×Dic71—21no—
502C22×Dic71—21no—
503C2×C4×D71—21no—
504C2×C4×D71—21no—
505C2×C4×D71—21no—
506C2×C4×D71—21no—
507C2×C4×D71—21no—
508C2×C4×D71—21no—
509C2×C4×D71—21no—
510C2×C4×D71—21no—
511C2×C4×D71—21no—
512C2×C4×D71—21no—
513C2×C4×D71—21no—
514C2×C4×D71—21no—
515C2×C4×D71—21no—
516C2×C4×D71—44no—
517C2×C4×D71—82no—
518C2×C4×D71—82no—
519C2×C4×D71C2×D411yescharacteristic
520C2×C4×D71C2×D411yescharacteristic
521C2×C4×D71C2×D411yescharacteristic
522C2×C4×D71C2×D411yescharacteristic
523C2×C4×D71C2×D411yescharacteristic
524C2×C4×D71C2×D411yescharacteristic
525C2×C4×D71C2411yescharacteristic
526#11765854C2×Q814yescomplemented
527#11765853C2×Q814yescomplemented
528#11765852C2×Q814yescomplemented
529C2×C71⋊C8C2411yescharacteristic
530C2×C71⋊C8C2411yescharacteristic
531C2×C71⋊C8C2411yescharacteristic
532C2×C71⋊C8C2411yescharacteristic
533C8×D71—22no—
534C8×D71—22no—
535C8×D71—22no—
536C8×D71C2×Q814yes—
537C4⋊Dic71—21no—
538C4⋊Dic71—21no—
539C4⋊Dic71—21no—
540C4⋊Dic71—21no—
541C4⋊Dic71—21no—
542C4⋊Dic71—21no—
543C4⋊Dic71—21no—
544C4⋊Dic71—21no—
545C4⋊Dic71—21no—
546C4⋊Dic71—21no—
547C4⋊Dic71—21no—
548C4⋊Dic71—21no—
549C4⋊Dic71—21no—
550C4⋊Dic71C2×D411yescharacteristic
551C4⋊Dic71C2×D411yescharacteristic
552C4⋊Dic71C2×D411yescharacteristic
553C4⋊Dic71C2411yescharacteristic
554C4⋊Dic71C2411yescharacteristic
555C4⋊Dic71C2411yescharacteristic
556C4⋊Dic71C2411yescharacteristic
557C4⋊Dic71C2411yescharacteristic
558C4⋊Dic71C2411yescharacteristic
559Dic71⋊C4—21no—
560Dic71⋊C4—21no—
561Dic71⋊C4—21no—
562Dic71⋊C4—21no—
563Dic71⋊C4—21no—
564Dic71⋊C4—21no—
565Dic71⋊C4—21no—
566Dic71⋊C4—21no—
567Dic71⋊C4—21no—
568Dic71⋊C4—21no—
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—
600(C2×D71)⋊C4—21no—
601(C2×D71)⋊C4—21no—
602(C2×D71)⋊C4—21no—
603(C2×D71)⋊C4—21no—
604(C2×D71)⋊C4—21no—
605(C2×D71)⋊C4—21no—
606C4×Dic71—21no—
607C4×Dic71—21no—
608C4×Dic71—21no—
609C4×Dic71—21no—
610C4×Dic71—21no—
611C4×Dic71—21no—
612C4×Dic71—21no—
613C4×Dic71—21no—
614C4×Dic71—21no—
615C4×Dic71C2×D411yescharacteristic
616C4×Dic71C2×D411yescharacteristic
617C4×Dic71C2×D411yescharacteristic
618C4×Dic71C2×D411yescharacteristic
619C4×Dic71C2×D411yescharacteristic
620C4×Dic71C2×D411yescharacteristic
621C4×Dic71C2411yescharacteristic
622C4×Dic71C2411yescharacteristic
623C4×Dic71C2411yescharacteristic
624C2×Q8×C71—21no—
625C2×Q8×C71—21no—
626C2×Q8×C71C2×D411yescharacteristic
627C2×Q8×C71C2411yescharacteristic
628C2×D4×C71C2411yescharacteristic
629C22×C4×C71—21no—
630C22×C4×C71—21no—
631C22×C4×C71—21no—
632SD16×C71C2×Q814yescomplemented
633C2×C8×C71C2411yescharacteristic
634C2×C8×C71C2411yescharacteristic
635C2×C8×C71C2411yescharacteristic
636C2×C8×C71C2411yescharacteristic
637C4⋊C4×C71—21no—
638C4⋊C4×C71—21no—
639C4⋊C4×C71—21no—
640C4⋊C4×C71—21no—
641C4⋊C4×C71—21no—
642C4⋊C4×C71—21no—
643C4⋊C4×C71—21no—
644C4⋊C4×C71—21no—
645C4⋊C4×C71—21no—
646C4⋊C4×C71—21no—
647C4⋊C4×C71—21no—
648C4⋊C4×C71—21no—
649C4⋊C4×C71—21no—
650C4⋊C4×C71C2×D411yescharacteristic
651C4⋊C4×C71C2×D411yescharacteristic
652C4⋊C4×C71C2×D411yescharacteristic
653C4⋊C4×C71C2411yescharacteristic
654C4⋊C4×C71C2411yescharacteristic
655C4⋊C4×C71C2411yescharacteristic
656C4⋊C4×C71C2411yescharacteristic
657C4⋊C4×C71C2411yescharacteristic
658C4⋊C4×C71C2411yescharacteristic
659C22⋊C4×C71—21no—
660C22⋊C4×C71—21no—
661C22⋊C4×C71—21no—
662C42×C71—21no—
663C42×C71—21no—
664C42×C71—21no—
665C42×C71C2411yescharacteristic
666C42×C71C2411yescharacteristic
667C42×C71C2411yescharacteristic
668C23×C71—21no—
669C22×D71—21no—
670C22×D71—24no—
671C22×D71—42no—
672C22×D71—42no—
673C22×D71C22×D411yescharacteristic
674Q8×C71—21no—
675Q8×C71—41no—
676Q8×C71—42no—
677Q8×C71—81no—
678Q8×C71C22×Q812yes—
679D4×C71—21no—
680D4×C71C22×Q812yes—
681C2×C4×C71—21no—
682C2×C4×C71—21no—
683C2×C4×C71—21no—
684C2×C4×C71—21no—
685C2×C4×C71—21no—
686C2×C4×C71—21no—
687C2×C4×C71—21no—
688C2×C4×C71—42no—
689C2×C4×C71—81no—
690C2×C4×C71—81no—
691C2×C4×C71C22×D411yescharacteristic
692C2×C4×C71C22×D411yescharacteristic
693C2×C4×C71C22×D411yescharacteristic
694C2×C4×C71C22×D411yescharacteristic
695C2×C4×C71C22×D411yescharacteristic
696C2×C4×C71C22×D411yescharacteristic
697C2×C4×C71C2511yescharacteristic
698C22⋊D71—24no—
699C2×Dic71—21no—
700C2×Dic71—21no—
701C2×Dic71—21no—
702C2×Dic71—21no—
703C2×Dic71—21no—
704C2×Dic71—21no—
705C2×Dic71—21no—
706C2×Dic71—42no—
707C2×Dic71—81no—
708C2×Dic71—81no—
709C2×Dic71C22×D411yescharacteristic
710C2×Dic71C22×D411yescharacteristic
711C2×Dic71C22×D411yescharacteristic
712C2×Dic71C22×D411yescharacteristic
713C2×Dic71C22×D411yescharacteristic
714C2×Dic71C22×D411yescharacteristic
715C2×Dic71C22×D411yescharacteristic
716D284—21no—
717D284C22×Q812yes—
718C4×D71—24no—
719C4×D71—22no—
720C4×D71—22no—
721C4×D71—22no—
722C4×D71—22no—
723C4×D71—22no—
724C4×D71—22no—
725C4×D71—42no—
726C4×D71—42no—
727C4×D71—42no—
728C4×D71—42no—
729C4×D71—42no—
730C4×D71—42no—
731C4×D71—42no—
732C4×D71—42no—
733C4×D71—81no—
734C4×D71—81no—
735C4×D71—81no—
736C4×D71—81no—
737C4×D71C22×Q812yes—
738C4×D712−1+412yes—
739Dic142—21no—
740Dic142—24no—
741Dic142—41no—
742Dic142—41no—
743Dic142—41no—
744Dic142—42no—
745Dic142—42no—
746Dic142—42no—
747Dic142—81no—
748Dic142—81no—
749Dic142—81no—
750Dic142C22×Q812yes—
751C8×C71—21no—
752C8×C71—21no—
753C8×C71—21no—
754C8×C71C22×Q812yes—
755C71⋊C8—21no—
756C71⋊C8—21no—
757C71⋊C8—21no—
758C71⋊C8C22×Q812yes—
759C22×C71—22no—
760C22×C71—41no—
761C22×C71—41no—
762C22×C71C23×D411yescharacteristic
763C2×D71—22no—
764C2×D71—41no—
765C2×D71—41no—
766C2×D71—48no—
767C2×D71D4×Q812yes—
768C2×D71#57512yes—
769C2×D71#57712yes—
770C4×C71—22no—
771C4×C71—21no—
772C4×C71—21no—
773C4×C71—21no—
774C4×C71—21no—
775C4×C71—21no—
776C4×C71—21no—
777C4×C71—41no—
778C4×C71—41no—
779C4×C71—41no—
780C4×C71—41no—
781C4×C71—41no—
782C4×C71—41no—
783C4×C71C23×Q811yescharacteristic
784C4×C71C2×2−1+411yescharacteristic
785Dic71—22no—
786Dic71—21no—
787Dic71—21no—
788Dic71—21no—
789Dic71—21no—
790Dic71—21no—
791Dic71—21no—
792Dic71—41no—
793Dic71—41no—
794Dic71—41no—
795Dic71—41no—
796Dic71—41no—
797Dic71—41no—
798Dic71D4×Q812yes—
799C2×#3388—711nomaximal, Sylow
800C2×C71—42no—
801C2×C71C2×D4×Q811yescharacteristic
802C2×C71C2×#57511yescharacteristic
803C2×C71C2×#57711yescharacteristic
804D71—42no—
805D71#338814yesdirect product factor
806C2×#557—711no—
807C2×#554—711no—
808#3388—711no—
809#3388—711no—
810#3388—711no—
811#3388—711no—
812#3388—711no—
813#3388—711no—
814#3388—711no—
815#3388—711no—
816#3388—711no—
817#3388—711no—
818#3388—711no—
819#3388—711no—
820#3388—711no—
821#3388—711no—
822#3388—711no—
823#3388D7111yescharacteristic, direct product factor
824C2×#501—711no—
825C2×#501—711no—
826C2×#499—711no—
827C2×#479—711no—
828C2×#479—711no—
829C2×#475—711no—
830C2×#478—711no—
831C2×#478—711no—
832C2×#476—711no—
833C2×#446—711no—
834C2×#440—711no—
835C2×#440—711no—
836C2×C4×SD16—711no—
837C71C2×#338811yescharacteristic, complemented, Sylow
838C22×SD16—711no—
839#557—711no—
840#557—711no—
841#557—711no—
842#557—711no—
843#557—711no—
844#557—711no—
845#557—711no—
846#557—1421no—
847#557—1421no—
848#557—1421no—
849#557—1421no—
850#557C2×D7111yescharacteristic, complemented
851#554—711no—
852#554—711no—
853#554—711no—
854#554—711no—
855#554—711no—
856#554—711no—
857#554—711no—
858#554—1421no—
859#554—1421no—
860#554—1421no—
861#554—1421no—
862#554C2×D7111yescharacteristic
863C2×C4⋊Q8—711no—
864C2×C4⋊Q8—711no—
865C2×C4⋊Q8—1421no—
866C2×#125—711no—
867C2×#125—711no—
868C2×#125—711no—
869C2×#125—711no—
870C2×#125—1421no—
871C2×#125—1421no—
872C2×C22⋊Q8—1421no—
873C2×C22⋊Q8—1421no—
874C2×C22⋊Q8—1421no—
875C2×C4×Q8—711no—
876C2×C4×Q8—711no—
877C2×C4×Q8—711no—
878C2×C4×Q8—711no—
879C2×C4×Q8—1421no—
880C2×C4×D4—711no—
881C2×C4×D4—711no—
882C2×C4×D4—711no—
883C22×C4⋊C4—1421no—
884#501—711no—
885#501—711no—
886#501—711no—
887#501—711no—
888#501—711no—
889#501—711no—
890#501—711no—
891#501—711no—
892#501—711no—
893#501—711no—
894#501—711no—
895#501—711no—
896#501—711no—
897#501—711no—
898#501C2×D7111yescharacteristic, complemented
899#501C2×D7111yescharacteristic, complemented
900#499—711no—
901#499—711no—
902#499—711no—
903#499—711no—
904#499—711no—
905#499—711no—
906#499—711no—
907#499C2×D7111yescharacteristic, complemented
908#479—711no—
909#479—711no—
910#479—711no—
911#479—711no—
912#479—711no—
913#479—711no—
914#479—711no—
915#479—711no—
916#479—711no—
917#479—711no—
918#479—711no—
919#479—711no—
920#479—711no—
921#479—711no—
922#479C2×D7111yescharacteristic, complemented
923#479C2×D7111yescharacteristic, complemented
924#478—711no—
925#478—711no—
926#478—711no—
927#478—711no—
928#478—711no—
929#478—711no—
930#478—711no—
931#478—711no—
932#478—711no—
933#478—711no—
934#478—711no—
935#478—711no—
936#478—711no—
937#478—711no—
938#478C2×D7111yescharacteristic
939#478C2×D7111yescharacteristic
940#476—711no—
941#476—711no—
942#476—711no—
943#476—711no—
944#476—711no—
945#476—711no—
946#476—711no—
947#476C2×D7111yescharacteristic
948#475—711no—
949#475—711no—
950#475—711no—
951#475—711no—
952#475—711no—
953#475—711no—
954#475—711no—
955#475C2×D7111yescharacteristic, complemented
956#446—711no—
957#446—711no—
958#446—711no—
959#446—711no—
960#446—711no—
961#446—711no—
962#446—711no—
963#446C2×D7111yescharacteristic, complemented
964#440—711no—
965#440—711no—
966#440—711no—
967#440—711no—
968#440—711no—
969#440—711no—
970#440—711no—
971#440—711no—
972#440—711no—
973#440—711no—
974#440—711no—
975#440—711no—
976#440—711no—
977#440—711no—
978#440C2×D7111yescharacteristic
979#440C2×D7111yescharacteristic
980C4×SD16—711no—
981C4×SD16—711no—
982C4×SD16—711no—
983C4×SD16—711no—
984C4×SD16—711no—
985C4×SD16—711no—
986C4×SD16—711no—
987C4×SD16C2×D7111yescharacteristic
988C2×#107—711no—
989C2×#107—711no—
990C2×#107—711no—
991C2×#107—711no—
992C2×#106—711no—
993C2×#106—711no—
994C2×#106—711no—
995C2×#106—711no—
996C2×#106—711no—
997C2×C4⋊C8—711no—
998C2×C4⋊C8—711no—
999C2×C4⋊C8—711no—
1000C2×#103—711no—
1001C2×#103—711no—
1002C2×#103—711no—
1003C2×#102—711no—
1004C2×#102—711no—
1005C2×#102—711no—
1006C2×#97—711no—
1007C2×#97—711no—
1008C2×C4×C8—711no—
1009C22×Q8—711no—
1010C22×Q8—711no—
1011C22×Q8—1421no—
1012C22×Q8—1421no—
1013C22×D4—711no—
1014C23×C4—1421no—
1015C23×C4—1421no—
1016C23×C4—1421no—
1017C2×SD16—711no—
1018C2×SD16—711no—
1019C2×SD16—718no—
1020C2×SD16—711no—
1021C2×SD16C22×D7111yescharacteristic
1022C22×C8—711no—
1023C22×C8—711no—
1024C22×C8—711no—
1025C22×C8—711no—
1026C4⋊Q8—21no—
1027C4⋊Q8—711no—
1028C4⋊Q8—711no—
1029C4⋊Q8—711no—
1030C4⋊Q8—711no—
1031C4⋊Q8—711no—
1032C4⋊Q8—711no—
1033C4⋊Q8—1421no—
1034C4⋊Q8—1421no—
1035C4⋊Q8—1421no—
1036C4⋊Q8—1421no—
1037C4⋊Q8—1421no—
1038C4⋊Q8—1421no—
1039C4⋊Q8—1421no—
1040C4⋊Q8—1421no—
1041C4⋊Q8—1421no—
1042C4⋊Q8—1421no—
1043C4⋊Q8—1421no—
1044C4⋊Q8C22×D7111yescharacteristic
1045C4⋊Q8C22×D7111yescharacteristic
1046#125—21no—
1047#125—21no—
1048#125—711no—
1049#125—711no—
1050#125—711no—
1051#125—711no—
1052#125—711no—
1053#125—711no—
1054#125—711no—
1055#125—711no—
1056#125—711no—
1057#125—711no—
1058#125—711no—
1059#125—711no—
1060#125—1421no—
1061#125—1421no—
1062#125—1421no—
1063#125—1421no—
1064#125—1421no—
1065#125—1421no—
1066#125—1421no—
1067#125—1421no—
1068#125—1421no—
1069#125—1421no—
1070#125—1421no—
1071#125—1421no—
1072#125—1421no—
1073#125—1421no—
1074#125—1421no—
1075#125—1421no—
1076#125—1421no—
1077#125—1421no—
1078#125—1421no—
1079#125—1421no—
1080#125—1421no—
1081#125—1421no—
1082#125C22×D7111yescharacteristic
1083#125C22×D7111yescharacteristic
1084#125C22×D7111yescharacteristic
1085#125C22×D7111yescharacteristic
1086C22⋊Q8—21no—
1087C22⋊Q8—21no—
1088C22⋊Q8—21no—
1089C22⋊Q8—1421no—
1090C22⋊Q8—1421no—
1091C22⋊Q8—1421no—
1092C22⋊Q8—1421no—
1093C22⋊Q8—1421no—
1094C22⋊Q8—1421no—
1095C22⋊Q8—1421no—
1096C22⋊Q8—1421no—
1097C22⋊Q8—1421no—
1098C22⋊Q8—1421no—
1099C22⋊Q8—1421no—
1100C22⋊Q8—1421no—
1101C22⋊Q8—1421no—
1102C22⋊Q8—1421no—
1103C22⋊Q8—1421no—
1104C22⋊Q8—1421no—
1105C22⋊Q8—1421no—
1106C22⋊Q8—1421no—
1107C22⋊Q8—1421no—
1108C22⋊Q8—1421no—
1109C22⋊Q8—1421no—
1110C4×Q8—21no—
1111C4×Q8—711no—
1112C4×Q8—711no—
1113C4×Q8—711no—
1114C4×Q8—711no—
1115C4×Q8—711no—
1116C4×Q8—711no—
1117C4×Q8—711no—
1118C4×Q8—711no—
1119C4×Q8—711no—
1120C4×Q8—711no—
1121C4×Q8—711no—
1122C4×Q8—711no—
1123C4×Q8—711no—
1124C4×Q8—711no—
1125C4×Q8—711no—
1126C4×Q8—711no—
1127C4×Q8—1421no—
1128C4×Q8—1421no—
1129C4×Q8—1421no—
1130C4×Q8—1421no—
1131C4×Q8—1421no—
1132C4×Q8—1421no—
1133C4×Q8—1421no—
1134C4×Q8—1421no—
1135C4×Q8—1421no—
1136C4×Q8—1421no—
1137C4×Q8—1421no—
1138C4×Q8—1421no—
1139C4×Q8—1421no—
1140C4×Q8C22×D7111yescharacteristic
1141C4×Q8C22×D7111yescharacteristic
1142C4×Q8C22×D7111yescharacteristic
1143C4×Q8C22×D7111yescharacteristic
1144C4×D4—711no—
1145C4×D4—711no—
1146C4×D4—711no—
1147C4×D4—711no—
1148C4×D4—711no—
1149C4×D4—711no—
1150C4×D4—711no—
1151C4×D4—711no—
1152C4×D4—711no—
1153C4×D4—1421no—
1154C4×D4—1421no—
1155C4×D4—1421no—
1156C4×D4—1421no—
1157C4×D4—1421no—
1158C4×D4—1421no—
1159C4×D4C22×D7111yescharacteristic
1160C4×D4C22×D7111yescharacteristic
1161C4×D4C22×D7111yescharacteristic
1162C2×C4⋊C4—21no—
1163C2×C4⋊C4—711no—
1164C2×C4⋊C4—711no—
1165C2×C4⋊C4—711no—
1166C2×C4⋊C4—711no—
1167C2×C4⋊C4—711no—
1168C2×C4⋊C4—711no—
1169C2×C4⋊C4—711no—
1170C2×C4⋊C4—711no—
1171C2×C4⋊C4—711no—
1172C2×C4⋊C4—1421no—
1173C2×C4⋊C4—1421no—
1174C2×C4⋊C4—1421no—
1175C2×C4⋊C4—1421no—
1176C2×C4⋊C4—1421no—
1177C2×C4⋊C4—1421no—
1178C2×C4⋊C4—1421no—
1179C2×C4⋊C4—1421no—
1180C2×C4⋊C4—1421no—
1181C2×C4⋊C4—1421no—
1182C2×C4⋊C4—1421no—
1183C2×C4⋊C4—1421no—
1184C2×C4⋊C4—1421no—
1185C2×C4⋊C4—1421no—
1186C2×C4⋊C4—1421no—
1187C2×C4⋊C4—1421no—
1188C2×C4⋊C4—1421no—
1189C2×C4⋊C4—1421no—
1190C2×C4⋊C4—1421no—
1191C2×C4⋊C4—1421no—
1192C2×C22⋊C4—1421no—
1193C2×C22⋊C4—1421no—
1194C2×C22⋊C4—1421no—
1195C2×C42—711no—
1196C2×C42—711no—
1197C2×C42—711no—
1198C2×C42—1421no—
1199C2×C42—1421no—
1200C2×C42—1421no—
1201#107—711no—
1202#107—711no—
1203#107—711no—
1204#107—711no—
1205#107—711no—
1206#107—711no—
1207#107—711no—
1208#107—711no—
1209#107—711no—
1210#107—711no—
1211#107—711no—
1212#107—711no—
1213#107C22×D7111yescharacteristic
1214#107C22×D7111yescharacteristic
1215#107C22×D7111yescharacteristic
1216#107C22×D7111yescharacteristic
1217#106—711no—
1218#106—711no—
1219#106—711no—
1220#106—711no—
1221#106—711no—
1222#106—711no—
1223#106—711no—
1224#106—711no—
1225#106—711no—
1226#106—711no—
1227#106—711no—
1228#106—711no—
1229#106—711no—
1230#106—711no—
1231#106—711no—
1232#106C22×D7111yescharacteristic
1233#106C22×D7111yescharacteristic
1234#106C22×D7111yescharacteristic
1235#106C22×D7111yescharacteristic
1236#106C22×D7111yescharacteristic
1237C4⋊C8—711no—
1238C4⋊C8—711no—
1239C4⋊C8—711no—
1240C4⋊C8—711no—
1241C4⋊C8—711no—
1242C4⋊C8—711no—
1243C4⋊C8—711no—
1244C4⋊C8—711no—
1245C4⋊C8—711no—
1246C4⋊C8C22×D7111yescharacteristic
1247C4⋊C8C22×D7111yescharacteristic
1248C4⋊C8C22×D7111yescharacteristic
1249#103—711no—
1250#103—711no—
1251#103—711no—
1252#103—711no—
1253#103—711no—
1254#103—711no—
1255#103—711no—
1256#103—711no—
1257#103—711no—
1258#103C22×D7111yescharacteristic
1259#103C22×D7111yescharacteristic
1260#103C22×D7111yescharacteristic
1261#102—711no—
1262#102—711no—
1263#102—711no—
1264#102—711no—
1265#102—711no—
1266#102—711no—
1267#102—711no—
1268#102—711no—
1269#102—711no—
1270#102C22×D7111yescharacteristic
1271#102C22×D7111yescharacteristic
1272#102C22×D7111yescharacteristic
1273#97—711no—
1274#97—711no—
1275#97—711no—
1276#97—711no—
1277#97—711no—
1278#97—711no—
1279#97C22×D7111yescharacteristic
1280#97C22×D7111yescharacteristic
1281C4×C8—711no—
1282C4×C8—711no—
1283C4×C8—711no—
1284C4×C8C22×D7111yescharacteristic
1285C24—1421no—
1286C2×Q8—21no—
1287C2×Q8—21no—
1288C2×Q8—2844no—
1289C2×Q8—2842no—
1290C2×Q8—5682no—
1291C2×Q8—711no—
1292C2×Q8—711no—
1293C2×Q8—711no—
1294C2×Q8—714no—
1295C2×Q8—711no—
1296C2×Q8—1421no—
1297C2×Q8—1421no—
1298C2×Q8—1421no—
1299C2×Q8—1421no—
1300C2×Q8—1421no—
1301C2×Q8—1422no—
1302C2×Q8—1421no—
1303C2×Q8—1421no—
1304C2×Q8D4×D7111yescharacteristic
1305C2×Q8C23×D7111yescharacteristic
1306C2×D4—714no—
1307C2×D4—711no—
1308C2×D4—1422no—
1309C2×D4—1421no—
1310C2×D4C23×D7111yescharacteristic
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—2844no—
1315C22×C4—5682no—
1316C22×C4—5682no—
1317C22×C4—711no—
1318C22×C4—711no—
1319C22×C4—711no—
1320C22×C4—711no—
1321C22×C4—711no—
1322C22×C4—711no—
1323C22×C4—711no—
1324C22×C4—1421no—
1325C22×C4—1421no—
1326C22×C4—1421no—
1327C22×C4—1421no—
1328C22×C4—1421no—
1329C22×C4—1421no—
1330C22×C4—1421no—
1331C22×C4—1421no—
1332C22×C4—1421no—
1333C22×C4—1421no—
1334C22×C4—1421no—
1335C22×C4—1421no—
1336C22×C4—1421no—
1337C22×C4—1421no—
1338C22×C4—1421no—
1339C22×C4—1421no—
1340SD16—714no—
1341SD16—714no—
1342SD16—714no—
1343SD16Q8×D7114yescomplemented
1344C2×C8—711no—
1345C2×C8—714no—
1346C2×C8—711no—
1347C2×C8—711no—
1348C2×C8—711no—
1349C2×C8—1422no—
1350C2×C8—1422no—
1351C2×C8—1422no—
1352C2×C8C23×D7111yescharacteristic
1353C2×C8C23×D7111yescharacteristic
1354C2×C8C23×D7111yescharacteristic
1355C2×C8C23×D7111yescharacteristic
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—711no—
1370C4⋊C4—711no—
1371C4⋊C4—711no—
1372C4⋊C4—711no—
1373C4⋊C4—711no—
1374C4⋊C4—711no—
1375C4⋊C4—711no—
1376C4⋊C4—711no—
1377C4⋊C4—711no—
1378C4⋊C4—711no—
1379C4⋊C4—711no—
1380C4⋊C4—711no—
1381C4⋊C4—711no—
1382C4⋊C4—711no—
1383C4⋊C4—711no—
1384C4⋊C4—1421no—
1385C4⋊C4—1421no—
1386C4⋊C4—1421no—
1387C4⋊C4—1421no—
1388C4⋊C4—1421no—
1389C4⋊C4—1421no—
1390C4⋊C4—1421no—
1391C4⋊C4—1421no—
1392C4⋊C4—1421no—
1393C4⋊C4—1421no—
1394C4⋊C4—1421no—
1395C4⋊C4—1421no—
1396C4⋊C4—1421no—
1397C4⋊C4—1421no—
1398C4⋊C4—1421no—
1399C4⋊C4—1421no—
1400C4⋊C4—1421no—
1401C4⋊C4—1421no—
1402C4⋊C4—1421no—
1403C4⋊C4—1421no—
1404C4⋊C4—1421no—
1405C4⋊C4—1421no—
1406C4⋊C4—1421no—
1407C4⋊C4—1421no—
1408C4⋊C4—1421no—
1409C4⋊C4—1421no—
1410C4⋊C4—1421no—
1411C4⋊C4—1421no—
1412C4⋊C4—1421no—
1413C4⋊C4—1421no—
1414C4⋊C4—1421no—
1415C4⋊C4—1421no—
1416C4⋊C4—1421no—
1417C4⋊C4—1421no—
1418C4⋊C4—1421no—
1419C4⋊C4—1421no—
1420C4⋊C4—1421no—
1421C4⋊C4—1421no—
1422C4⋊C4—1421no—
1423C4⋊C4—1421no—
1424C4⋊C4—1421no—
1425C4⋊C4—1421no—
1426C4⋊C4—1421no—
1427C4⋊C4—1421no—
1428C4⋊C4—1421no—
1429C4⋊C4D4×D7111yescharacteristic
1430C4⋊C4D4×D7111yescharacteristic
1431C4⋊C4D4×D7111yescharacteristic
1432C4⋊C4C23×D7111yescharacteristic
1433C4⋊C4C23×D7111yescharacteristic
1434C4⋊C4C23×D7111yescharacteristic
1435C4⋊C4C23×D7111yescharacteristic
1436C4⋊C4C23×D7111yescharacteristic
1437C4⋊C4C23×D7111yescharacteristic
1438C22⋊C4—21no—
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—1421no—
1442C22⋊C4—1421no—
1443C22⋊C4—1421no—
1444C22⋊C4—1421no—
1445C22⋊C4—1421no—
1446C22⋊C4—1421no—
1447C22⋊C4—1421no—
1448C22⋊C4—1421no—
1449C22⋊C4—1421no—
1450C42—21no—
1451C42—21no—
1452C42—21no—
1453C42—711no—
1454C42—711no—
1455C42—711no—
1456C42—711no—
1457C42—711no—
1458C42—711no—
1459C42—711no—
1460C42—711no—
1461C42—711no—
1462C42—1421no—
1463C42—1421no—
1464C42—1421no—
1465C42—1421no—
1466C42—1421no—
1467C42—1421no—
1468C42—1421no—
1469C42—1421no—
1470C42—1421no—
1471C42C23×D7111yescharacteristic
1472C42C23×D7111yescharacteristic
1473C42C23×D7111yescharacteristic
1474C23—21no—
1475C23—2842no—
1476C23—2842no—
1477C23—711no—
1478C23—1424no—
1479C23—1421no—
1480Q8—21no—
1481Q8—41no—
1482Q8—42no—
1483Q8—81no—
1484Q8—2842no—
1485Q8—2841no—
1486Q8—2841no—
1487Q8—2841no—
1488Q8—2842no—
1489Q8—2842no—
1490Q8—5681no—
1491Q8—5681no—
1492Q8—5681no—
1493Q8—712no—
1494Q8—1424no—
1495Q8—1421no—
1496Q8C2×Q8×D7112yes—
1497D4—21no—
1498D4—712no—
1499D4—1424no—
1500D4—1421no—
1501D4C2×Q8×D7112yes—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—42no—
1510C2×C4—81no—
1511C2×C4—81no—
1512C2×C4—2842no—
1513C2×C4—2842no—
1514C2×C4—2842no—
1515C2×C4—2842no—
1516C2×C4—2842no—
1517C2×C4—2842no—
1518C2×C4—2842no—
1519C2×C4—2842no—
1520C2×C4—2842no—
1521C2×C4—5681no—
1522C2×C4—5681no—
1523C2×C4—5681no—
1524C2×C4—5681no—
1525C2×C4—5681no—
1526C2×C4—5681no—
1527C2×C4—711no—
1528C2×C4—712no—
1529C2×C4—712no—
1530C2×C4—711no—
1531C2×C4—711no—
1532C2×C4—711no—
1533C2×C4—711no—
1534C2×C4—711no—
1535C2×C4—711no—
1536C2×C4—1422no—
1537C2×C4—1422no—
1538C2×C4—1422no—
1539C2×C4—1422no—
1540C2×C4—1422no—
1541C2×C4—1422no—
1542C2×C4—1424no—
1543C2×C4—1421no—
1544C2×C4—1421no—
1545C2×C4—1421no—
1546C2×C4—1421no—
1547C2×C4—1421no—
1548C2×C4—1421no—
1549C2×C4—1421no—
1550C2×C4C2×D4×D7111yescharacteristic
1551C2×C4C2×D4×D7111yescharacteristic
1552C2×C4C2×D4×D7111yescharacteristic
1553C2×C4C2×D4×D7111yescharacteristic
1554C2×C4C2×D4×D7111yescharacteristic
1555C2×C4C2×D4×D7111yescharacteristic
1556C2×C4C24×D7111yescharacteristic
1557C8—21no—
1558C8—21no—
1559C8—21no—
1560C8—712no—
1561C8—1421no—
1562C8—1421no—
1563C8—1421no—
1564C8C2×Q8×D7112yes—
1565C22—22no—
1566C22—41no—
1567C22—41no—
1568C22—2848no—
1569C22—2841no—
1570C22—2841no—
1571C22—712no—
1572C22—712no—
1573C22—712no—
1574C22—1422no—
1575C22C22×D4×D7111yescharacteristic
1576C4—21no—
1577C4—21no—
1578C4—21no—
1579C4—22no—
1580C4—21no—
1581C4—21no—
1582C4—21no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—2841no—
1590C4—2841no—
1591C4—2841no—
1592C4—2841no—
1593C4—2841no—
1594C4—2841no—
1595C4—712no—
1596C4—1421no—
1597C4—1421no—
1598C4—1421no—
1599C4—1422no—
1600C4—1421no—
1601C4—1421no—
1602C4—1421no—
1603C4C22×Q8×D7111yescharacteristic
1604C42−1+4×D7111yescharacteristic
1605C2—42no—
1606C2—2842no—
1607C2—714no—
1608C2D4×Q8×D7111yescharacteristic
1609C2#575×D7111yescharacteristic
1610C2#577×D7111yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3388C2
socleC22×C71C23×D4
prime radicalC2×D4×D71C23
hypercenter#3388D71
hypocenterC71C2×#3388
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3388

Complements

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

NH ≅ G/Ntype
1. #557×D71C2semidirect
3. #22601292C2semidirect
4. #22601291C2semidirect
5. #22601290C2semidirect
6. #22601289C2semidirect
7. #22601288C2semidirect
8. #22601287C2semidirect
9. #22601286C2semidirect
10. #22601285C2semidirect
11. #22601284C2semidirect
12. #22601283C2semidirect
13. #22601282C2semidirect
14. #22601281C2semidirect
15. #22601280C2semidirect
16. #22601279C2semidirect
17. #22601278C2semidirect
18. #501×D71C2semidirect
19. #501×D71C2semidirect
20. #499×D71C2semidirect
21. #479×D71C2semidirect
22. #479×D71C2semidirect
23. #475×D71C2semidirect
27. #446×D71C2semidirect
31. C71×#3388C2semidirect
33. #17986728C22semidirect
35. #17986727C22semidirect
38. #17986726C22semidirect
39. #17986726C22semidirect
40. #17986725C22semidirect
41. #17986725C22semidirect
43. #17986724C22semidirect
76. #17986409C22semidirect
77. #17986409C22semidirect
78. #17986408C22semidirect
79. #17986408C22semidirect
80. #17986407C22semidirect
81. #17986407C22semidirect
82. #17986407C22semidirect
83. #17986407C22semidirect
84. #17986406C22semidirect
85. #17986406C22semidirect
86. #17986406C22semidirect
87. #17986406C22semidirect
88. #17986405C22semidirect
89. #17986405C22semidirect
90. #17986401C22semidirect
91. #17986400C22semidirect
92. #17986400C22semidirect
93. #17986399C22semidirect
94. #17986399C22semidirect
95. #17986398C22semidirect
96. #17986398C22semidirect
97. #17986309C22semidirect
98. #17986309C22semidirect
99. #17986308C22semidirect
100. #17986308C22semidirect
101. #17986307C22semidirect
102. #17986307C22semidirect
103. #17986306C22semidirect
104. #17986306C22semidirect
105. #17986305C22semidirect
106. #17986305C22semidirect
107. #17986304C22semidirect
108. #17986304C22semidirect
109. #17986303C22semidirect
110. #17986303C22semidirect
132. #17986285C22semidirect
133. #17986284C22semidirect
134. #17986283C22semidirect
135. #17986283C22semidirect
136. #17986282C22semidirect
137. #17986282C22semidirect
138. #17986281C22semidirect
139. #17986130C22semidirect
140. #17986129C22semidirect
141. #17986128C22semidirect
142. #17986128C22semidirect
143. #17986127C22semidirect
144. #17986127C22semidirect
145. #17986126C22semidirect
188. #557×C71C22semidirect
190. #501×C71C22semidirect
191. #501×C71C22semidirect
192. #499×C71C22semidirect
193. #479×C71C22semidirect
194. #479×C71C22semidirect
198. #475×C71C22semidirect
199. #446×C71C22semidirect
214. SD16×D71Q8semidirect
526. #11765854C2×Q8semidirect
527. #11765853C2×Q8semidirect
528. #11765852C2×Q8semidirect
632. SD16×C71C2×Q8semidirect
805. D71#3388direct (N × H)
823. #3388D71direct (N × H)
837. C71C2×#3388semidirect
850. #557C2×D71semidirect
898. #501C2×D71semidirect
899. #501C2×D71semidirect
907. #499C2×D71semidirect
922. #479C2×D71semidirect
923. #479C2×D71semidirect
955. #475C2×D71semidirect
963. #446C2×D71semidirect
1343. SD16Q8×D71semidirect

Maximal subgroups

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

subgroupindex
#557×D712
#554×D712
#226012922
#226012912
#226012902
#226012892
#226012882
#226012872
#226012862
#226012852
#226012842
#226012832
#226012822
#226012812
#226012802
#226012792
#226012782
#501×D712
#499×D712
#479×D712
#475×D712
#478×D712
#476×D712
#446×D712
#440×D712
C4×SD16×D712
C71×#33882
C2×#338871