Finite Group Databasebeta

← #3267×D71 #32872441

Subgroups — #3267×D71 #32872441

Order 18176.

2914 conjugacy classes of subgroups.

The subgroup lattice has 2094 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×AGL(1,ℤ/8)×D71C211yesmaximal, characteristic, complemented
2C2×#135×D71C211yesmaximal, characteristic, complemented
3#547×D71C211yesmaximal, characteristic, complemented
4#546×D71C211yesmaximal, characteristic, complemented
5#22599872C211yesmaximal, characteristic, complemented
6#22599871C211yesmaximal, characteristic, complemented
7#22599870C211yesmaximal, characteristic, complemented
8#22599869C211yesmaximal, characteristic, complemented
9#22599868C211yesmaximal, characteristic, complemented
10#22599867C211yesmaximal, characteristic, complemented
11#22599866C211yesmaximal, characteristic, complemented
12#22599865C211yesmaximal, characteristic, complemented
13#22599864C211yesmaximal, characteristic, complemented
14#22599863C211yesmaximal, characteristic, complemented
15#22599862C211yesmaximal, characteristic, complemented
16#22599861C211yesmaximal, characteristic, complemented
17#22599860C211yesmaximal, characteristic, complemented
18#22599859C211yesmaximal, characteristic, complemented
19#22599858C211yesmaximal, characteristic, complemented
20#497×D71C211yesmaximal, characteristic, complemented
21#470×D71C211yesmaximal, characteristic, complemented
22#465×D71C211yesmaximal, characteristic, complemented
23#463×D71C211yesmaximal, characteristic, complemented
24#461×D71C211yesmaximal, characteristic, complemented
25#452×D71C211yesmaximal, characteristic, complemented
26#452×D71C211yesmaximal, characteristic, complemented
27#449×D71C211yesmaximal, characteristic, complemented
28#450×D71C211yesmaximal, characteristic, complemented
29#442×D71C211yesmaximal, characteristic, complemented
30#435×D71C211yesmaximal, characteristic, complemented
31C71×#3267C211yesmaximal, characteristic, complemented
32C2×#41×D71C2211yescharacteristic
33C2×#41×D71C2211yescharacteristic
34C2×#41×D71C2211yescharacteristic, complemented
35C22×D4×D71C2211yescharacteristic
36C2×#14556156C2211yescharacteristic, complemented
37C2×#14556155C2211yescharacteristic, complemented
38C2×#14556155C2211yescharacteristic, complemented
39C2×#14556154C2211yescharacteristic, complemented
40C2×#14556153C2211yescharacteristic, complemented
41C2×#14556152C2211yescharacteristic, complemented
42C2×#14556152C2211yescharacteristic, complemented
43AGL(1,ℤ/8)×D71—28no—
44C2×#14556151C2211yescharacteristic, complemented
45C2×#14556150C2211yescharacteristic, complemented
46C2×#14556149C2211yescharacteristic, complemented
47C2×#14556149C2211yescharacteristic, complemented
48C2×#14556148C2211yescharacteristic, complemented
49C2×#14556148C2211yescharacteristic, complemented
50C2×#14556147C2211yescharacteristic, complemented
51#135×D71—28no—
52C2×Q16×D71C2211yescharacteristic, complemented
53C2×Q16×D71C2211yescharacteristic, complemented
54C2×SD16×D71C2211yescharacteristic
55C2×SD16×D71C2211yescharacteristic
56C2×SD16×D71C2211yescharacteristic
57C2×SD16×D71C2211yescharacteristic
58C2×SD16×D71C2211yescharacteristic, complemented
59C2×D8×D71C2211yescharacteristic
60C2×D8×D71C2211yescharacteristic
61C2×M16×D71C2211yescharacteristic
62C22×C8×D71C2211yescharacteristic, complemented
63#17986654C2211yescharacteristic, complemented
64#17986653C2211yescharacteristic, complemented
65#17986652C2211yescharacteristic, complemented
66#17986651C2211yescharacteristic, complemented
67#17986651C2211yescharacteristic, complemented
68#17986650—21no—
69#17986649—21no—
70#17986648C2211yescharacteristic, complemented
71#17986648C2211yescharacteristic, complemented
72#17986647—21no—
73#17986647—21no—
74#17986646C2211yescharacteristic, complemented
75#17986645C2211yescharacteristic, complemented
76#17986644C2211yescharacteristic, complemented
77#17986643C2211yescharacteristic, complemented
78#17986642C2211yescharacteristic, complemented
79#17986641—21no—
80#17986640C2211yescharacteristic, complemented
81#17986639—21no—
82#17986638—21no—
83#17986637C2211yescharacteristic, complemented
84#17986636—21no—
85C4⋊Q8×D71C2211yescharacteristic, complemented
86#124×D71C2211yescharacteristic
87#123×D71—21no—
88#123×D71—21no—
89#123×D71—21no—
90C22⋊Q8×D71C2211yescharacteristic
91C22⋊Q8×D71C2211yescharacteristic
92C22⋊Q8×D71C2211yescharacteristic, complemented
93#121×D71—21no—
94#121×D71—21no—
95#121×D71C2211yescharacteristic
96#120×D71—21no—
97C4×D4×D71C2211yescharacteristic
98C4×D4×D71C2211yescharacteristic
99C4×D4×D71C2211yescharacteristic, complemented
100C2×C4⋊C4×D71—21no—
101C2×C22⋊C4×D71—21no—
102#17986394C2211yescharacteristic, complemented
103#17986393C2211yescharacteristic, complemented
104#17986392C2211yescharacteristic, complemented
105#17986392C2211yescharacteristic, complemented
106#17986391C2211yescharacteristic, complemented
107#17986390C2211yescharacteristic, complemented
108#17986390C2211yescharacteristic, complemented
109#17986258C2211yescharacteristic, complemented
110#17986257C2211yescharacteristic, complemented
111#17986256C2211yescharacteristic, complemented
112#17986256C2211yescharacteristic, complemented
113#17986255C2211yescharacteristic, complemented
114#17986255C2211yescharacteristic, complemented
115#17986254C2211yescharacteristic, complemented
116#17986231C2211yescharacteristic, complemented
117#17986230C2211yescharacteristic, complemented
118#17986229C2211yescharacteristic, complemented
119#17986228C2211yescharacteristic, complemented
120#17986227C2211yescharacteristic, complemented
121#17986226C2211yescharacteristic, complemented
122#17986225C2211yescharacteristic, complemented
123#17986217C2211yescharacteristic, complemented
124#17986216C2211yescharacteristic, complemented
125#17986215C2211yescharacteristic, complemented
126#17986214C2211yescharacteristic, complemented
127#17986213C2211yescharacteristic, complemented
128#17986212C2211yescharacteristic, complemented
129#17986211C2211yescharacteristic, complemented
130#17986205C2211yescharacteristic, complemented
131#17986204C2211yescharacteristic, complemented
132#17986203C2211yescharacteristic, complemented
133#17986203C2211yescharacteristic, complemented
134#17986202C2211yescharacteristic, complemented
135#17986202C2211yescharacteristic, complemented
136#17986201C2211yescharacteristic, complemented
137#17986164C2211yescharacteristic, complemented
138#17986164C2211yescharacteristic, complemented
139#17986163C2211yescharacteristic, complemented
140#17986163C2211yescharacteristic, complemented
141#17986162C2211yescharacteristic, complemented
142#17986162C2211yescharacteristic, complemented
143#17986161C2211yescharacteristic, complemented
144#17986161C2211yescharacteristic, complemented
145#17986160C2211yescharacteristic, complemented
146#17986160C2211yescharacteristic, complemented
147#17986159C2211yescharacteristic, complemented
148#17986159C2211yescharacteristic, complemented
149#17986158C2211yescharacteristic, complemented
150#17986158C2211yescharacteristic, complemented
151#17986152C2211yescharacteristic, complemented
152#17986151C2211yescharacteristic, complemented
153#17986151C2211yescharacteristic, complemented
154#17986150C2211yescharacteristic, complemented
155#17986149C2211yescharacteristic, complemented
156#17986148C2211yescharacteristic, complemented
157#17986148C2211yescharacteristic, complemented
158#17986147C2211yescharacteristic, complemented
159#17986146C2211yescharacteristic, complemented
160#17986145C2211yescharacteristic, complemented
161#17986144C2211yescharacteristic, complemented
162#17986143C2211yescharacteristic, complemented
163#17986142C2211yescharacteristic, complemented
164#17986141C2211yescharacteristic, complemented
165#17986112C2211yescharacteristic, complemented
166#17986111C2211yescharacteristic, complemented
167#17986110C2211yescharacteristic, complemented
168#17986109C2211yescharacteristic, complemented
169#17986109C2211yescharacteristic, complemented
170#17986108C2211yescharacteristic, complemented
171#17986108C2211yescharacteristic, complemented
172#17986073C2211yescharacteristic, complemented
173#17986072C2211yescharacteristic, complemented
174#17986071C2211yescharacteristic, complemented
175#17986070C2211yescharacteristic, complemented
176#17986069C2211yescharacteristic, complemented
177#17986068C2211yescharacteristic, complemented
178#17986067C2211yescharacteristic, complemented
179#106×D71C2211yescharacteristic, complemented
180C4⋊C8×D71C2211yescharacteristic, complemented
181#103×D71C2211yescharacteristic, complemented
182#103×D71C2211yescharacteristic, complemented
183#103×D71C2211yescharacteristic, complemented
184#102×D71C2211yescharacteristic
185#102×D71C2211yescharacteristic
186#102×D71C2211yescharacteristic, complemented
187C22⋊C8×D71C2211yescharacteristic
188C22⋊C8×D71C2211yescharacteristic, complemented
189#97×D71C2211yescharacteristic, complemented
190C2×AGL(1,ℤ/8)×C71C2211yescharacteristic, complemented
191C2×#135×C71C2211yescharacteristic, complemented
192#547×C71C2211yescharacteristic, complemented
193#546×C71C2211yescharacteristic, complemented
194#497×C71C2211yescharacteristic, complemented
195#470×C71C2211yescharacteristic, complemented
196#465×C71C2211yescharacteristic, complemented
197#463×C71C2211yescharacteristic, complemented
198#461×C71C2211yescharacteristic, complemented
199#452×C71C2211yescharacteristic, complemented
200#452×C71C2211yescharacteristic, complemented
201#450×C71C2211yescharacteristic, complemented
202#449×C71C2211yescharacteristic, complemented
203#442×C71C2211yescharacteristic, complemented
204#435×C71C2211yescharacteristic, complemented
205C24×D71—21no—
206C2×#11765866C2311yescharacteristic
207C2×#11765866C2311yescharacteristic
208C2×#11765866C2311yescharacteristic, complemented
209C2×#11765865—21no—
210C2×#11765865—21no—
211C2×#11765865—21no—
212C2×#11765865C2311yescharacteristic
213C2×#11765865C2311yescharacteristic
214C2×#11765865C2311yescharacteristic, complemented
215C2×#11765864—21no—
216C2×#11765864—21no—
217C2×#11765864—21no—
218C2×#11765864C2311yescharacteristic
219C2×#11765864C2311yescharacteristic
220C2×#11765864C2311yescharacteristic, complemented
221#41×D71—24no—
222#41×D71—24no—
223#41×D71—24no—
224#41×D71—42no—
225#41×D71—42no—
226#41×D71—42no—
227C2×Q8×D71C2311yescharacteristic
228C2×Q8×D71C2311yescharacteristic
229C2×Q8×D71C2311yescharacteristic
230C22×D284C2311yescharacteristic
231C22×C22⋊D71—21no—
232C2×D4×D71—24no—
233C2×D4×D71—21no—
234C2×D4×D71—21no—
235C2×D4×D71—21no—
236C2×D4×D71—21no—
237C2×D4×D71—21no—
238C2×D4×D71—21no—
239C2×D4×D71—42no—
240C2×D4×D71D411yescharacteristic
241C2×D4×D71C2311yescharacteristic
242C2×D4×D71C2311yescharacteristic
243C2×D4×D71C2311yescharacteristic
244C2×D4×D71C2311yescharacteristic
245C2×D4×D71C2311yescharacteristic
246C22×C4×D71—21no—
247C22×C4×D71—21no—
248C22×C4×D71—21no—
249C22×C4×D71—21no—
250C22×C4×D71—21no—
251C22×C4×D71C2311yescharacteristic
252C22×C4×D71C2311yescharacteristic
253#14556156—24no—
254#14556155—24no—
255#14556155—24no—
256#14556154—24no—
257#14556153—24no—
258#14556152—24no—
259#14556152—24no—
260#14556151—24no—
261#14556150—24no—
262#14556149—24no—
263#14556149—24no—
264#14556148—24no—
265#14556148—24no—
266#14556147—24no—
267C2×Dic284C2311yescharacteristic, complemented
268C2×Dic284C2311yescharacteristic, complemented
269C2×#11765855C2311yescharacteristic, complemented
270C2×#11765855C2311yescharacteristic, complemented
271C2×#11765855C2311yescharacteristic, complemented
272C2×#11765855C2311yescharacteristic, complemented
273Q16×D71—24no—
274Q16×D71—42no—
275C2×#11765854C2311yescharacteristic
276C2×#11765854C2311yescharacteristic
277C2×#11765854C2311yescharacteristic
278C2×#11765854C2311yescharacteristic
279C2×#11765854C2311yescharacteristic, complemented
280C2×#11765853C2311yescharacteristic
281C2×#11765853C2311yescharacteristic
282C2×#11765853C2311yescharacteristic
283C2×#11765853C2311yescharacteristic
284C2×#11765853C2311yescharacteristic, complemented
285C2×#11765852C2311yescharacteristic
286C2×#11765852C2311yescharacteristic
287C2×#11765852C2311yescharacteristic
288C2×#11765852C2311yescharacteristic
289C2×#11765852C2311yescharacteristic, complemented
290SD16×D71—24no—
291SD16×D71—24no—
292SD16×D71—24no—
293SD16×D71—24no—
294SD16×D71—42no—
295C2×D568C2311yescharacteristic
296C2×D568C2311yescharacteristic
297C2×#11765850C2311yescharacteristic
298C2×#11765850C2311yescharacteristic
299C2×#11765850C2311yescharacteristic
300C2×#11765850C2311yescharacteristic
301D8×D71—24no—
302D8×D71D418yescomplemented
303C2×#11765849C2311yescharacteristic
304C2×#11765848C2311yescharacteristic
305C2×#11765848C2311yescharacteristic
306M16×D71—24no—
307C22×C71⋊C8C2311yescharacteristic, complemented
308C2×C8×D71—24no—
309C2×C8×D71C2311yescharacteristic
310C2×C8×D71C2311yescharacteristic
311C2×C8×D71C2311yescharacteristic
312C2×C8×D71C2311yescharacteristic
313C2×C8×D71C2311yescharacteristic, complemented
314C2×C8×D71C2311yescharacteristic, complemented
315#14556128C2311yescharacteristic, complemented
316#14556127—21no—
317#14556127—21no—
318#14556126C2311yescharacteristic, complemented
319#14556126C2311yescharacteristic, complemented
320#14556117C2311yescharacteristic
321#14556116C2311yescharacteristic
322#14556115C2311yescharacteristic
323#14556114—21no—
324#14556114—21no—
325#14556113—21no—
326#14556113—21no—
327#14556113—21no—
328#14556113—21no—
329#14556113—21no—
330#14556113—21no—
331#14556112—21no—
332#14556112—21no—
333#14556112—21no—
334#14556111—21no—
335#14556111—21no—
336#14556111—21no—
337#14556110—21no—
338#14556110—21no—
339#14556110—21no—
340#14556110—21no—
341#14556110—21no—
342#14556110—21no—
343#14556109—21no—
344#14556109—21no—
345#14556109—21no—
346#14556108C2311yescharacteristic
347#14556108C2311yescharacteristic
348#14556108C2311yescharacteristic, complemented
349#14556107C2311yescharacteristic
350#14556107C2311yescharacteristic
351#14556107C2311yescharacteristic, complemented
352#14556106—21no—
353#14556106—21no—
354#14556106—21no—
355#14556105—21no—
356#14556105—21no—
357#14556105—21no—
358#14556104C2311yescharacteristic
359#14556104C2311yescharacteristic
360#14556104C2311yescharacteristic, complemented
361#14556103—21no—
362#14556103—21no—
363#14556103C2311yescharacteristic
364#14556102—21no—
365#14556102—21no—
366#14556102C2311yescharacteristic
367#14556101—21no—
368#14556101—21no—
369#14556101—21no—
370#14556101—21no—
371#14556101—21no—
372#14556100—21no—
373#14556100—21no—
374#14556100—21no—
375#14556100—21no—
376#14556100—21no—
377#14556099—21no—
378#14556099—21no—
379#14556099C2311yescharacteristic
380#14556098—21no—
381#14556098—21no—
382#14556098—21no—
383#14556097—21no—
384#14556096—21no—
385#14556096—21no—
386#14556096—21no—
387C4×D284C2311yescharacteristic
388C4×D284C2311yescharacteristic
389C4×D284C2311yescharacteristic, complemented
390D4×Dic71D411yescharacteristic
391D4×Dic71C2311yescharacteristic
392D4×Dic71C2311yescharacteristic, complemented
393#14556090D411yescharacteristic
394#14556090C2311yescharacteristic
395#14556090C2311yescharacteristic, complemented
396C4×C22⋊D71—21no—
397C4×C22⋊D71—21no—
398C4×C22⋊D71C2311yescharacteristic
399C4×C22⋊D71C2311yescharacteristic
400(C22⋊D71)⋊C4—21no—
401(C22⋊D71)⋊C4—21no—
402(C22⋊D71)⋊C4D411yescharacteristic
403(C22⋊D71)⋊C4D411yescharacteristic
404C2×C4⋊Dic71—21no—
405C2×Dic71⋊C4—21no—
406C2×Dic71⋊C4—21no—
407C4⋊C4×D71—21no—
408C4⋊C4×D71—21no—
409C4⋊C4×D71—21no—
410C4⋊C4×D71—21no—
411C4⋊C4×D71—21no—
412C4⋊C4×D71—21no—
413C4⋊C4×D71—21no—
414C4⋊C4×D71—21no—
415C4⋊C4×D71—21no—
416C4⋊C4×D71D411yescharacteristic
417C4⋊C4×D71C2311yescharacteristic
418C4⋊C4×D71C2311yescharacteristic
419C2×C22⋊Dic71—21no—
420C2×(C2×D71)⋊C4—21no—
421C2×(C2×D71)⋊C4—21no—
422C22⋊C4×D71—21no—
423C22⋊C4×D71—21no—
424C22⋊C4×D71—21no—
425C22⋊C4×D71—21no—
426C22⋊C4×D71—21no—
427C22⋊C4×D71—21no—
428C22⋊C4×D71—21no—
429C22⋊C4×D71—21no—
430C22⋊C4×D71—21no—
431C22⋊C4×D71—21no—
432C22⋊C4×D71—21no—
433C22⋊C4×D71—21no—
434C22⋊C4×D71D411yescharacteristic
435C22⋊C4×D71D411yescharacteristic
436C42×D71C2311yescharacteristic
437#14556060C2311yescharacteristic, complemented
438#14556059C2311yescharacteristic, complemented
439#14556059C2311yescharacteristic, complemented
440C4⋊(C71⋊C8)C2311yescharacteristic, complemented
441Dic71⋊C8C2311yescharacteristic, complemented
442Dic71⋊C8C2311yescharacteristic, complemented
443#14556053C2311yescharacteristic, complemented
444#14556053C2311yescharacteristic, complemented
445#14556053C2311yescharacteristic, complemented
446#14556052C2311yescharacteristic, complemented
447#14556052C2311yescharacteristic, complemented
448#14556052C2311yescharacteristic, complemented
449#14556051C2311yescharacteristic, complemented
450#14556051C2311yescharacteristic, complemented
451#14556051C2311yescharacteristic, complemented
452#14556050C2311yescharacteristic
453#14556050C2311yescharacteristic
454#14556050C2311yescharacteristic, complemented
455#14556049C2311yescharacteristic
456#14556049C2311yescharacteristic
457#14556049C2311yescharacteristic, complemented
458#14556048C2311yescharacteristic
459#14556048C2311yescharacteristic
460#14556048C2311yescharacteristic, complemented
461C22⋊(C71⋊C8)C2311yescharacteristic
462C22⋊(C71⋊C8)C2311yescharacteristic, complemented
463(C2×D71)⋊C8C2311yescharacteristic
464(C2×D71)⋊C8C2311yescharacteristic
465(C2×D71)⋊C8C2311yescharacteristic, complemented
466(C2×D71)⋊C8C2311yescharacteristic, complemented
467#14556039C2311yescharacteristic, complemented
468#14556038C2311yescharacteristic, complemented
469#14556038C2311yescharacteristic, complemented
470C2×#41×C71C2311yescharacteristic
471C2×#41×C71C2311yescharacteristic
472C2×#41×C71C2311yescharacteristic, complemented
473C22×D4×C71C2311yescharacteristic
474AGL(1,ℤ/8)×C71—24no—
475#135×C71—24no—
476C2×Q16×C71C2311yescharacteristic, complemented
477C2×Q16×C71C2311yescharacteristic, complemented
478C2×SD16×C71C2311yescharacteristic
479C2×SD16×C71C2311yescharacteristic
480C2×SD16×C71C2311yescharacteristic
481C2×SD16×C71C2311yescharacteristic
482C2×SD16×C71C2311yescharacteristic, complemented
483C2×D8×C71C2311yescharacteristic
484C2×D8×C71C2311yescharacteristic
485C2×M16×C71C2311yescharacteristic
486C22×C8×C71C2311yescharacteristic, complemented
487C4⋊Q8×C71C2311yescharacteristic, complemented
488#124×C71C2311yescharacteristic
489#123×C71—21no—
490#123×C71—21no—
491#123×C71—21no—
492C22⋊Q8×C71C2311yescharacteristic
493C22⋊Q8×C71C2311yescharacteristic
494C22⋊Q8×C71C2311yescharacteristic, complemented
495#121×C71—21no—
496#121×C71—21no—
497#121×C71C2311yescharacteristic
498#120×C71—21no—
499C4×D4×C71C2311yescharacteristic
500C4×D4×C71C2311yescharacteristic
501C4×D4×C71C2311yescharacteristic, complemented
502C2×C4⋊C4×C71—21no—
503C2×C22⋊C4×C71—21no—
504#106×C71C2311yescharacteristic, complemented
505C4⋊C8×C71C2311yescharacteristic, complemented
506#103×C71C2311yescharacteristic, complemented
507#103×C71C2311yescharacteristic, complemented
508#103×C71C2311yescharacteristic, complemented
509#102×C71C2311yescharacteristic
510#102×C71C2311yescharacteristic
511#102×C71C2311yescharacteristic, complemented
512C22⋊C8×C71C2311yescharacteristic
513C22⋊C8×C71C2311yescharacteristic, complemented
514#97×C71C2311yescharacteristic, complemented
515C23×D71—21no—
516C23×D71—21no—
517C23×D71—21no—
518C23×D71—21no—
519C23×D71—21no—
520C23×D71—21no—
521C23×D71—44no—
522C23×D71—44no—
523C23×D71—82no—
524C23×D71C2×D411yescharacteristic
525C23×D71C2×D411yescharacteristic
526#11765866—22no—
527#11765866—22no—
528#11765866—22no—
529#11765866—41no—
530#11765866—41no—
531#11765866—41no—
532#11765865—22no—
533#11765865—22no—
534#11765865—22no—
535#11765865—41no—
536#11765865—41no—
537#11765865—41no—
538#11765865—44no—
539#11765865—44no—
540#11765865—44no—
541#11765864—22no—
542#11765864—22no—
543#11765864—22no—
544#11765864—41no—
545#11765864—41no—
546#11765864—41no—
547#11765864—44no—
548#11765864—44no—
549#11765864—44no—
550C2×Dic142—21no—
551C2×Dic142—21no—
552C2×Dic142—21no—
553C2×Dic142C2411yescharacteristic
554C2×Dic142C2411yescharacteristic
555C2×Dic142C2411yescharacteristic
556Q8×D71—22no—
557Q8×D71—22no—
558Q8×D71—22no—
559Q8×D71—22no—
560Q8×D71—22no—
561Q8×D71—22no—
562C2×D284—22no—
563C2×D284—21no—
564C2×D284—21no—
565C2×D284—21no—
566C2×D284—21no—
567C2×D284—21no—
568C2×D284—41no—
569C2×D284C2×D411yescharacteristic
570C2×D284C2411yescharacteristic
571C2×D284C2411yescharacteristic
572C2×D284C2411yescharacteristic
573C2×C22⋊D71—21no—
574C2×C22⋊D71—21no—
575C2×C22⋊D71—21no—
576C2×C22⋊D71—21no—
577C2×C22⋊D71—21no—
578C2×C22⋊D71—21no—
579C2×C22⋊D71—21no—
580C2×C22⋊D71—21no—
581C2×C22⋊D71—21no—
582C2×C22⋊D71—21no—
583C2×C22⋊D71—21no—
584C2×C22⋊D71—21no—
585C2×C22⋊D71—21no—
586C2×C22⋊D71—44no—
587C2×C22⋊D71C2×D411yescharacteristic
588C2×C22⋊D71C2×D411yescharacteristic
589D4×D71—22no—
590D4×D71—22no—
591D4×D71—22no—
592D4×D71—22no—
593D4×D71—22no—
594D4×D71—22no—
595D4×D71—41no—
596D4×D71—41no—
597D4×D71—44no—
598D4×D71—42no—
599D4×D71—44no—
600D4×D71—44no—
601D4×D71—44no—
602D4×D71—44no—
603D4×D71—82no—
604D4×D71C2×D414yes—
605D4×D71C2×D414yes—
606C22×Dic71—21no—
607C22×Dic71—21no—
608C22×Dic71—21no—
609C22×Dic71—21no—
610C22×Dic71—21no—
611C22×Dic71C2×D411yescharacteristic
612C22×Dic71C2×D411yescharacteristic
613C2×C4×D71—22no—
614C2×C4×D71—22no—
615C2×C4×D71—22no—
616C2×C4×D71—22no—
617C2×C4×D71—21no—
618C2×C4×D71—21no—
619C2×C4×D71—21no—
620C2×C4×D71—21no—
621C2×C4×D71—21no—
622C2×C4×D71—21no—
623C2×C4×D71—21no—
624C2×C4×D71—21no—
625C2×C4×D71—21no—
626C2×C4×D71—21no—
627C2×C4×D71—21no—
628C2×C4×D71—21no—
629C2×C4×D71—21no—
630C2×C4×D71—21no—
631C2×C4×D71—21no—
632C2×C4×D71—44no—
633C2×C4×D71—44no—
634C2×C4×D71—44no—
635C2×C4×D71—44no—
636C2×C4×D71—82no—
637C2×C4×D71C2×D411yescharacteristic
638C2×C4×D71C2×D411yescharacteristic
639C2×C4×D71C2×D411yescharacteristic
640C2×C4×D71C2×D411yescharacteristic
641C2×C4×D71C2×D411yescharacteristic
642C2×C4×D71C2×D411yescharacteristic
643C2×C4×D71C2411yescharacteristic
644C2×C4×D71C2411yescharacteristic
645C2×C4×D71C2411yescharacteristic
646Dic284—22no—
647Dic284—41no—
648#11765855—22no—
649#11765855—22no—
650#11765855—41no—
651#11765855—41no—
652#11765854—22no—
653#11765854—22no—
654#11765854—22no—
655#11765854—22no—
656#11765854—41no—
657#11765853—22no—
658#11765853—22no—
659#11765853—22no—
660#11765853—22no—
661#11765853—41no—
662#11765852—22no—
663#11765852—22no—
664#11765852—22no—
665#11765852—22no—
666#11765852—41no—
667D568—22no—
668D568C2×D414yescomplemented
669#11765850—22no—
670#11765850—22no—
671#11765850C2×D414yescomplemented
672#11765850C2×D414yescomplemented
673#11765849—22no—
674#11765848—22no—
675#11765848—22no—
676C2×C71⋊C8—22no—
677C2×C71⋊C8C2411yescharacteristic
678C2×C71⋊C8C2411yescharacteristic
679C2×C71⋊C8C2411yescharacteristic
680C2×C71⋊C8C2411yescharacteristic
681C8×D71—22no—
682C8×D71—22no—
683C8×D71—22no—
684C8×D71—22no—
685C8×D71—22no—
686C8×D71C2×D414yes—
687C4⋊Dic71—21no—
688C4⋊Dic71—21no—
689C4⋊Dic71—21no—
690C4⋊Dic71—21no—
691C4⋊Dic71—21no—
692C4⋊Dic71C2×D411yescharacteristic
693C4⋊Dic71C2411yescharacteristic
694C4⋊Dic71C2411yescharacteristic
695Dic71⋊C4—21no—
696Dic71⋊C4—21no—
697Dic71⋊C4—21no—
698Dic71⋊C4—21no—
699Dic71⋊C4—21no—
700Dic71⋊C4—21no—
701Dic71⋊C4—21no—
702Dic71⋊C4—21no—
703Dic71⋊C4—21no—
704Dic71⋊C4—21no—
705Dic71⋊C4—21no—
706Dic71⋊C4—21no—
707Dic71⋊C4C2×D411yescharacteristic
708Dic71⋊C4C2×D411yescharacteristic
709C22⋊Dic71—21no—
710C22⋊Dic71—21no—
711C22⋊Dic71—21no—
712C22⋊Dic71—21no—
713C22⋊Dic71—21no—
714C22⋊Dic71—21no—
715C22⋊Dic71—21no—
716C22⋊Dic71—21no—
717C22⋊Dic71C2×D411yescharacteristic
718C22⋊Dic71C2×D411yescharacteristic
719(C2×D71)⋊C4—21no—
720(C2×D71)⋊C4—21no—
721(C2×D71)⋊C4—21no—
722(C2×D71)⋊C4—21no—
723(C2×D71)⋊C4—21no—
724(C2×D71)⋊C4—21no—
725(C2×D71)⋊C4—21no—
726(C2×D71)⋊C4—21no—
727(C2×D71)⋊C4—21no—
728(C2×D71)⋊C4—21no—
729(C2×D71)⋊C4—21no—
730(C2×D71)⋊C4—21no—
731(C2×D71)⋊C4—21no—
732(C2×D71)⋊C4—21no—
733(C2×D71)⋊C4—21no—
734(C2×D71)⋊C4—21no—
735(C2×D71)⋊C4C2×D411yescharacteristic
736(C2×D71)⋊C4C2×D411yescharacteristic
737(C2×D71)⋊C4C2×D411yescharacteristic
738(C2×D71)⋊C4C2×D411yescharacteristic
739C4×Dic71C2×D411yescharacteristic
740C4×Dic71C2×D411yescharacteristic
741C4×Dic71C2411yescharacteristic
742C24×C71—21no—
743#41×C71—22no—
744#41×C71—22no—
745#41×C71—22no—
746#41×C71—41no—
747#41×C71—41no—
748#41×C71—41no—
749C2×Q8×C71C2411yescharacteristic
750C2×Q8×C71C2411yescharacteristic
751C2×Q8×C71C2411yescharacteristic
752C2×D4×C71—22no—
753C2×D4×C71—21no—
754C2×D4×C71—21no—
755C2×D4×C71—21no—
756C2×D4×C71—21no—
757C2×D4×C71—21no—
758C2×D4×C71—41no—
759C2×D4×C71C2×D411yescharacteristic
760C2×D4×C71C2411yescharacteristic
761C2×D4×C71C2411yescharacteristic
762C2×D4×C71C2411yescharacteristic
763C22×C4×C71—21no—
764C22×C4×C71—21no—
765C22×C4×C71—21no—
766C22×C4×C71—21no—
767C22×C4×C71—21no—
768C22×C4×C71C2411yescharacteristic
769C22×C4×C71C2411yescharacteristic
770Q16×C71—22no—
771Q16×C71—41no—
772SD16×C71—22no—
773SD16×C71—22no—
774SD16×C71—22no—
775SD16×C71—22no—
776SD16×C71—41no—
777D8×C71—22no—
778D8×C71C2×D414yescomplemented
779M16×C71—22no—
780C2×C8×C71—22no—
781C2×C8×C71C2411yescharacteristic
782C2×C8×C71C2411yescharacteristic
783C2×C8×C71C2411yescharacteristic
784C2×C8×C71C2411yescharacteristic
785C4⋊C4×C71—21no—
786C4⋊C4×C71—21no—
787C4⋊C4×C71—21no—
788C4⋊C4×C71—21no—
789C4⋊C4×C71—21no—
790C4⋊C4×C71C2×D411yescharacteristic
791C4⋊C4×C71C2411yescharacteristic
792C4⋊C4×C71C2411yescharacteristic
793C22⋊C4×C71—21no—
794C22⋊C4×C71—21no—
795C22⋊C4×C71—21no—
796C22⋊C4×C71—21no—
797C22⋊C4×C71—21no—
798C22⋊C4×C71—21no—
799C22⋊C4×C71—21no—
800C22⋊C4×C71—21no—
801C22⋊C4×C71C2×D411yescharacteristic
802C22⋊C4×C71C2×D411yescharacteristic
803C42×C71C2411yescharacteristic
804C23×C71—21no—
805C23×C71—21no—
806C23×C71—21no—
807C23×C71—42no—
808C23×C71—42no—
809C23×C71—81no—
810C23×C71C22×D411yescharacteristic
811C23×C71C22×D411yescharacteristic
812C22×D71—21no—
813C22×D71—21no—
814C22×D71—22no—
815C22×D71—22no—
816C22×D71—24no—
817C22×D71—24no—
818C22×D71—22no—
819C22×D71—22no—
820C22×D71—22no—
821C22×D71—22no—
822C22×D71—21no—
823C22×D71—42no—
824C22×D71—42no—
825C22×D71—42no—
826C22×D71—42no—
827C22×D71—42no—
828C22×D71—42no—
829C22×D71—42no—
830C22×D71—42no—
831C22×D71—42no—
832C22×D71—42no—
833C22×D71—42no—
834C22×D71—42no—
835C22×D71—42no—
836C22×D71—81no—
837C22×D71—81no—
838C22×D71—81no—
839C22×D71—816no—
840C22×D71C22×D411yescharacteristic
841C22×D71C22×D411yescharacteristic
842C22×D71C22×D411yescharacteristic
843Q8×C71—21no—
844Q8×C71—21no—
845Q8×C71—21no—
846Q8×C71—21no—
847Q8×C71—21no—
848Q8×C71—21no—
849D4×C71—21no—
850D4×C71—21no—
851D4×C71—21no—
852D4×C71—21no—
853D4×C71—41no—
854D4×C71—42no—
855D4×C71—42no—
856D4×C71—42no—
857D4×C71—42no—
858D4×C71—81no—
859D4×C71C22×D412yes—
860D4×C71C22×D412yes—
861C2×C4×C71—21no—
862C2×C4×C71—21no—
863C2×C4×C71—21no—
864C2×C4×C71—21no—
865C2×C4×C71—21no—
866C2×C4×C71—21no—
867C2×C4×C71—21no—
868C2×C4×C71—21no—
869C2×C4×C71—21no—
870C2×C4×C71—42no—
871C2×C4×C71—42no—
872C2×C4×C71—42no—
873C2×C4×C71—42no—
874C2×C4×C71—81no—
875C2×C4×C71C22×D411yescharacteristic
876C2×C4×C71C22×D411yescharacteristic
877C2×C4×C71C22×D411yescharacteristic
878C2×C4×C71C22×D411yescharacteristic
879C2×C4×C71C2511yescharacteristic
880C22⋊D71—24no—
881C22⋊D71—24no—
882C22⋊D71—41no—
883C22⋊D71—41no—
884C22⋊D71—42no—
885C22⋊D71—42no—
886C22⋊D71—42no—
887C22⋊D71—42no—
888C22⋊D71—42no—
889C22⋊D71—42no—
890C22⋊D71—42no—
891C22⋊D71—42no—
892C22⋊D71—42no—
893C22⋊D71—81no—
894C22⋊D71—81no—
895C2×Dic71—22no—
896C2×Dic71—22no—
897C2×Dic71—21no—
898C2×Dic71—21no—
899C2×Dic71—21no—
900C2×Dic71—21no—
901C2×Dic71—21no—
902C2×Dic71—42no—
903C2×Dic71—42no—
904C2×Dic71—42no—
905C2×Dic71—42no—
906C2×Dic71—81no—
907C2×Dic71C22×D411yescharacteristic
908C2×Dic71C22×D411yescharacteristic
909C2×Dic71C22×D411yescharacteristic
910C2×Dic71C22×D411yescharacteristic
911C2×Dic71C22×D411yescharacteristic
912D284—21no—
913D284—21no—
914D284—21no—
915D284—21no—
916D284—41no—
917D284—42no—
918D284—42no—
919D284—42no—
920D284—42no—
921D284—81no—
922D284C22×D412yes—
923D284C22×D412yes—
924C4×D71—22no—
925C4×D71—22no—
926C4×D71—22no—
927C4×D71—22no—
928C4×D71—21no—
929C4×D71—21no—
930C4×D71—21no—
931C4×D71—21no—
932C4×D71—22no—
933C4×D71—22no—
934C4×D71—42no—
935C4×D71—42no—
936C4×D71—42no—
937C4×D71—42no—
938C4×D71—42no—
939C4×D71—42no—
940C4×D71—42no—
941C4×D71—42no—
942C4×D71—42no—
943C4×D71—42no—
944C4×D71—42no—
945C4×D71—42no—
946C4×D71—42no—
947C4×D71—81no—
948C4×D71—81no—
949C4×D71C22×D412yes—
950C4×D71H(5,𝔽2)12yes—
951Dic142—21no—
952Dic142—21no—
953Dic142—21no—
954Dic142—21no—
955Dic142—21no—
956Dic142—21no—
957Dic142—42no—
958Dic142—42no—
959Dic142—42no—
960C8×C71—21no—
961C8×C71—21no—
962C8×C71—21no—
963C8×C71C22×D412yes—
964C71⋊C8—21no—
965C71⋊C8—21no—
966C71⋊C8—21no—
967C71⋊C8C22×D412yes—
968C22×C71—21no—
969C22×C71—21no—
970C22×C71—22no—
971C22×C71—22no—
972C22×C71—21no—
973C22×C71—21no—
974C22×C71—21no—
975C22×C71—21no—
976C22×C71—41no—
977C22×C71—41no—
978C22×C71—41no—
979C22×C71—41no—
980C22×C71—41no—
981C22×C71—41no—
982C22×C71—41no—
983C22×C71—84no—
984C22×C71C23×D411yescharacteristic
985C2×D71—21no—
986C2×D71—21no—
987C2×D71—22no—
988C2×D71—22no—
989C2×D71—21no—
990C2×D71—21no—
991C2×D71—21no—
992C2×D71—21no—
993C2×D71—41no—
994C2×D71—41no—
995C2×D71—41no—
996C2×D71—41no—
997C2×D71—44no—
998C2×D71—44no—
999C2×D71—48no—
1000C2×D71—48no—
1001C2×D71—41no—
1002C2×D71—41no—
1003C2×D71—41no—
1004C2×D71—84no—
1005C2×D71—84no—
1006C2×D71—84no—
1007C2×D71—84no—
1008C2×D71D4212yes—
1009C2×D71#57512yes—
1010C2×D71#57712yes—
1011C4×C71—21no—
1012C4×C71—21no—
1013C4×C71—21no—
1014C4×C71—21no—
1015C4×C71—41no—
1016C4×C71—41no—
1017C4×C71—41no—
1018C4×C71—41no—
1019C4×C71—41no—
1020C4×C71C23×D411yescharacteristic
1021C4×C71C2×H(5,𝔽2)11yescharacteristic
1022Dic71—21no—
1023Dic71—21no—
1024Dic71—21no—
1025Dic71—21no—
1026Dic71—41no—
1027Dic71—41no—
1028Dic71—41no—
1029Dic71—41no—
1030Dic71—41no—
1031Dic71D4212yes—
1032C2×#3267—711nomaximal, Sylow
1033C2×C71—41no—
1034C2×C71—42no—
1035C2×C71—41no—
1036C2×C71—42no—
1037C2×C71—81no—
1038C2×C71C2×D4211yescharacteristic
1039C2×C71C2×#57511yescharacteristic
1040C2×C71C2×#57711yescharacteristic
1041D71—41no—
1042D71—41no—
1043D71—42no—
1044D71—42no—
1045D71—81no—
1046D71#326714yesdirect product factor
1047C22×AGL(1,ℤ/8)—711no—
1048C22×#135—711no—
1049C2×#547—711no—
1050C2×#546—711no—
1051#3267—711no—
1052#3267—711no—
1053#3267—711no—
1054#3267—711no—
1055#3267—711no—
1056#3267—711no—
1057#3267—711no—
1058#3267—711no—
1059#3267—711no—
1060#3267—711no—
1061#3267—711no—
1062#3267—711no—
1063#3267—711no—
1064#3267—711no—
1065#3267—711no—
1066#3267D7111yescharacteristic, direct product factor
1067C2×#497—711no—
1068C2×#470—711no—
1069C2×#465—711no—
1070C2×#463—711no—
1071C2×#461—711no—
1072C2×#452—711no—
1073C2×#452—711no—
1074C2×#449—711no—
1075C2×#450—711no—
1076C2×#442—711no—
1077C2×#435—711no—
1078C71C2×#326711yescharacteristic, complemented, Sylow
1079C22×#41—711no—
1080C22×#41—711no—
1081C22×#41—711no—
1082C23×D4—711no—
1083C2×AGL(1,ℤ/8)—711no—
1084C2×AGL(1,ℤ/8)—711no—
1085C2×AGL(1,ℤ/8)—711no—
1086C2×AGL(1,ℤ/8)—711no—
1087C2×AGL(1,ℤ/8)—711no—
1088C2×AGL(1,ℤ/8)—711no—
1089C2×AGL(1,ℤ/8)—711no—
1090C2×AGL(1,ℤ/8)—1428no—
1091C2×AGL(1,ℤ/8)C2×D7111yescharacteristic, complemented
1092C2×#135—711no—
1093C2×#135—711no—
1094C2×#135—711no—
1095C2×#135—711no—
1096C2×#135—711no—
1097C2×#135—711no—
1098C2×#135—711no—
1099C2×#135—1428no—
1100C2×#135C2×D7111yescharacteristic, complemented
1101C22×Q16—711no—
1102C22×Q16—711no—
1103C22×SD16—711no—
1104C22×SD16—711no—
1105C22×SD16—711no—
1106C22×SD16—711no—
1107C22×SD16—711no—
1108C22×D8—711no—
1109C22×D8—711no—
1110C22×M16—711no—
1111C23×C8—711no—
1112#547—711no—
1113#547—711no—
1114#547—711no—
1115#547—711no—
1116#547—711no—
1117#547—711no—
1118#547—711no—
1119#547—1421no—
1120#547—1421no—
1121#547—1421no—
1122#547—1421no—
1123#547C2×D7111yescharacteristic, complemented
1124#546—711no—
1125#546—711no—
1126#546—711no—
1127#546—711no—
1128#546—711no—
1129#546—711no—
1130#546—711no—
1131#546—1421no—
1132#546—1421no—
1133#546—1421no—
1134#546—1421no—
1135#546C2×D7111yescharacteristic, complemented
1136C2×C4⋊Q8—711no—
1137C2×#124—711no—
1138C2×#123—1421no—
1139C2×#123—1421no—
1140C2×#123—1421no—
1141C2×C22⋊Q8—711no—
1142C2×C22⋊Q8—711no—
1143C2×C22⋊Q8—711no—
1144C2×#121—711no—
1145C2×#121—1421no—
1146C2×#121—1421no—
1147C2×#120—1421no—
1148C2×C4×D4—711no—
1149C2×C4×D4—711no—
1150C2×C4×D4—711no—
1151C22×C4⋊C4—1421no—
1152C22×C22⋊C4—1421no—
1153#497—711no—
1154#497—711no—
1155#497—711no—
1156#497—711no—
1157#497—711no—
1158#497—711no—
1159#497—711no—
1160#497C2×D7111yescharacteristic, complemented
1161#470—711no—
1162#470—711no—
1163#470—711no—
1164#470—711no—
1165#470—711no—
1166#470—711no—
1167#470—711no—
1168#470C2×D7111yescharacteristic, complemented
1169#465—711no—
1170#465—711no—
1171#465—711no—
1172#465—711no—
1173#465—711no—
1174#465—711no—
1175#465—711no—
1176#465C2×D7111yescharacteristic, complemented
1177#463—711no—
1178#463—711no—
1179#463—711no—
1180#463—711no—
1181#463—711no—
1182#463—711no—
1183#463—711no—
1184#463C2×D7111yescharacteristic, complemented
1185#461—711no—
1186#461—711no—
1187#461—711no—
1188#461—711no—
1189#461—711no—
1190#461—711no—
1191#461—711no—
1192#461C2×D7111yescharacteristic, complemented
1193#452—711no—
1194#452—711no—
1195#452—711no—
1196#452—711no—
1197#452—711no—
1198#452—711no—
1199#452—711no—
1200#452—711no—
1201#452—711no—
1202#452—711no—
1203#452—711no—
1204#452—711no—
1205#452—711no—
1206#452—711no—
1207#452C2×D7111yescharacteristic, complemented
1208#452C2×D7111yescharacteristic, complemented
1209#450—711no—
1210#450—711no—
1211#450—711no—
1212#450—711no—
1213#450—711no—
1214#450—711no—
1215#450—711no—
1216#450C2×D7111yescharacteristic, complemented
1217#449—711no—
1218#449—711no—
1219#449—711no—
1220#449—711no—
1221#449—711no—
1222#449—711no—
1223#449—711no—
1224#449C2×D7111yescharacteristic, complemented
1225#442—711no—
1226#442—711no—
1227#442—711no—
1228#442—711no—
1229#442—711no—
1230#442—711no—
1231#442—711no—
1232#442C2×D7111yescharacteristic, complemented
1233#435—711no—
1234#435—711no—
1235#435—711no—
1236#435—711no—
1237#435—711no—
1238#435—711no—
1239#435—711no—
1240#435C2×D7111yescharacteristic, complemented
1241C2×#106—711no—
1242C2×C4⋊C8—711no—
1243C2×#103—711no—
1244C2×#103—711no—
1245C2×#103—711no—
1246C2×#102—711no—
1247C2×#102—711no—
1248C2×#102—711no—
1249C2×C22⋊C8—711no—
1250C2×C22⋊C8—711no—
1251C2×#97—711no—
1252C25—1421no—
1253C2×#41—2842no—
1254C2×#41—2842no—
1255C2×#41—2842no—
1256C2×#41—711no—
1257C2×#41—711no—
1258C2×#41—711no—
1259C2×#41—711no—
1260C2×#41—711no—
1261C2×#41—711no—
1262C2×#41—711no—
1263C2×#41—711no—
1264C2×#41—711no—
1265C2×#41—1421no—
1266C2×#41—1421no—
1267C2×#41—1421no—
1268C2×#41—1424no—
1269C2×#41—1424no—
1270C2×#41—1424no—
1271C2×#41—1421no—
1272C2×#41—1421no—
1273C2×#41—1421no—
1274C2×#41C22×D7111yescharacteristic
1275C2×#41C22×D7111yescharacteristic
1276C2×#41C22×D7111yescharacteristic, complemented
1277C22×Q8—711no—
1278C22×Q8—711no—
1279C22×Q8—711no—
1280C22×D4—2842no—
1281C22×D4—711no—
1282C22×D4—711no—
1283C22×D4—711no—
1284C22×D4—711no—
1285C22×D4—711no—
1286C22×D4—711no—
1287C22×D4—711no—
1288C22×D4—1421no—
1289C22×D4—1421no—
1290C22×D4—1421no—
1291C22×D4—1421no—
1292C22×D4—1421no—
1293C22×D4—1421no—
1294C22×D4—1424no—
1295C22×D4—1421no—
1296C22×D4C22×D7111yescharacteristic
1297C23×C4—711no—
1298C23×C4—711no—
1299C23×C4—1421no—
1300C23×C4—1421no—
1301C23×C4—1421no—
1302C23×C4—1421no—
1303C23×C4—1421no—
1304AGL(1,ℤ/8)—24no—
1305AGL(1,ℤ/8)—1424no—
1306AGL(1,ℤ/8)—1424no—
1307AGL(1,ℤ/8)—1424no—
1308AGL(1,ℤ/8)—1424no—
1309AGL(1,ℤ/8)—1424no—
1310AGL(1,ℤ/8)—1424no—
1311AGL(1,ℤ/8)—1424no—
1312#135—24no—
1313#135—1424no—
1314#135—1424no—
1315#135—1424no—
1316#135—1424no—
1317#135—1424no—
1318#135—1424no—
1319#135—1424no—
1320C2×Q16—2842no—
1321C2×Q16—711no—
1322C2×Q16—711no—
1323C2×Q16—711no—
1324C2×Q16—711no—
1325C2×Q16—711no—
1326C2×Q16—711no—
1327C2×Q16—1424no—
1328C2×Q16C22×D7111yescharacteristic, complemented
1329C2×Q16C22×D7111yescharacteristic, complemented
1330C2×SD16—2842no—
1331C2×SD16—711no—
1332C2×SD16—711no—
1333C2×SD16—711no—
1334C2×SD16—711no—
1335C2×SD16—711no—
1336C2×SD16—711no—
1337C2×SD16—711no—
1338C2×SD16—711no—
1339C2×SD16—711no—
1340C2×SD16—711no—
1341C2×SD16—711no—
1342C2×SD16—711no—
1343C2×SD16—711no—
1344C2×SD16—711no—
1345C2×SD16—711no—
1346C2×SD16—1424no—
1347C2×SD16—1424no—
1348C2×SD16—1424no—
1349C2×SD16—1424no—
1350C2×SD16C22×D7111yescharacteristic
1351C2×SD16C22×D7111yescharacteristic
1352C2×SD16C22×D7111yescharacteristic
1353C2×SD16C22×D7111yescharacteristic
1354C2×SD16C22×D7111yescharacteristic, complemented
1355C2×D8—711no—
1356C2×D8—711no—
1357C2×D8—718no—
1358C2×D8—711no—
1359C2×D8—711no—
1360C2×D8—711no—
1361C2×D8—711no—
1362C2×D8—1424no—
1363C2×D8C22×D7111yescharacteristic
1364C2×D8C22×D7111yescharacteristic
1365C2×M16—711no—
1366C2×M16—711no—
1367C2×M16—711no—
1368C2×M16—1424no—
1369C2×M16C22×D7111yescharacteristic
1370C22×C8—711no—
1371C22×C8—711no—
1372C22×C8—711no—
1373C22×C8—711no—
1374C22×C8—711no—
1375C22×C8—711no—
1376C22×C8—711no—
1377C22×C8—1424no—
1378C22×C8C22×D7111yescharacteristic, complemented
1379C4⋊Q8—711no—
1380C4⋊Q8—711no—
1381C4⋊Q8—711no—
1382C4⋊Q8—1421no—
1383C4⋊Q8—1421no—
1384C4⋊Q8C22×D7111yescharacteristic, complemented
1385#124—711no—
1386#124—711no—
1387#124—711no—
1388#124—1421no—
1389#124—1421no—
1390#124C22×D7111yescharacteristic
1391#123—21no—
1392#123—21no—
1393#123—21no—
1394#123—1421no—
1395#123—1421no—
1396#123—1421no—
1397#123—1421no—
1398#123—1421no—
1399#123—1421no—
1400#123—1421no—
1401#123—1421no—
1402#123—1421no—
1403#123—1421no—
1404#123—1421no—
1405#123—1421no—
1406#123—1421no—
1407#123—1421no—
1408#123—1421no—
1409#123—1421no—
1410#123—1421no—
1411#123—1421no—
1412#123—1421no—
1413#123—1421no—
1414#123—1421no—
1415C22⋊Q8—711no—
1416C22⋊Q8—711no—
1417C22⋊Q8—711no—
1418C22⋊Q8—711no—
1419C22⋊Q8—711no—
1420C22⋊Q8—711no—
1421C22⋊Q8—711no—
1422C22⋊Q8—711no—
1423C22⋊Q8—711no—
1424C22⋊Q8—1421no—
1425C22⋊Q8—1421no—
1426C22⋊Q8—1421no—
1427C22⋊Q8—1421no—
1428C22⋊Q8—1421no—
1429C22⋊Q8—1421no—
1430C22⋊Q8C22×D7111yescharacteristic
1431C22⋊Q8C22×D7111yescharacteristic
1432C22⋊Q8C22×D7111yescharacteristic, complemented
1433#121—21no—
1434#121—21no—
1435#121—711no—
1436#121—711no—
1437#121—711no—
1438#121—1421no—
1439#121—1421no—
1440#121—1421no—
1441#121—1421no—
1442#121—1421no—
1443#121—1421no—
1444#121—1421no—
1445#121—1421no—
1446#121—1421no—
1447#121—1421no—
1448#121—1421no—
1449#121—1421no—
1450#121—1421no—
1451#121—1421no—
1452#121—1421no—
1453#121—1421no—
1454#121C22×D7111yescharacteristic
1455#120—21no—
1456#120—1421no—
1457#120—1421no—
1458#120—1421no—
1459#120—1421no—
1460#120—1421no—
1461#120—1421no—
1462#120—1421no—
1463C4×D4—711no—
1464C4×D4—711no—
1465C4×D4—711no—
1466C4×D4—711no—
1467C4×D4—711no—
1468C4×D4—711no—
1469C4×D4—711no—
1470C4×D4—711no—
1471C4×D4—711no—
1472C4×D4—711no—
1473C4×D4—711no—
1474C4×D4—711no—
1475C4×D4—711no—
1476C4×D4—1421no—
1477C4×D4—1421no—
1478C4×D4—1421no—
1479C4×D4—1421no—
1480C4×D4C22×D7111yescharacteristic
1481C4×D4C22×D7111yescharacteristic
1482C4×D4C22×D7111yescharacteristic, complemented
1483C2×C4⋊C4—21no—
1484C2×C4⋊C4—711no—
1485C2×C4⋊C4—711no—
1486C2×C4⋊C4—711no—
1487C2×C4⋊C4—1421no—
1488C2×C4⋊C4—1421no—
1489C2×C4⋊C4—1421no—
1490C2×C4⋊C4—1421no—
1491C2×C4⋊C4—1421no—
1492C2×C4⋊C4—1421no—
1493C2×C4⋊C4—1421no—
1494C2×C4⋊C4—1421no—
1495C2×C4⋊C4—1421no—
1496C2×C4⋊C4—1421no—
1497C2×C4⋊C4—1421no—
1498C2×C4⋊C4—1421no—
1499C2×C22⋊C4—21no—
1500C2×C22⋊C4—711no—
1501C2×C22⋊C4—711no—
1502C2×C22⋊C4—1421no—
1503C2×C22⋊C4—1421no—
1504C2×C22⋊C4—1421no—
1505C2×C22⋊C4—1421no—
1506C2×C22⋊C4—1421no—
1507C2×C22⋊C4—1421no—
1508C2×C22⋊C4—1421no—
1509C2×C22⋊C4—1421no—
1510C2×C22⋊C4—1421no—
1511C2×C22⋊C4—1421no—
1512C2×C22⋊C4—1421no—
1513C2×C22⋊C4—1421no—
1514C2×C22⋊C4—1421no—
1515C2×C22⋊C4—1421no—
1516C2×C22⋊C4—1421no—
1517C2×C42—711no—
1518#106—711no—
1519#106—711no—
1520#106—711no—
1521#106C22×D7111yescharacteristic, complemented
1522C4⋊C8—711no—
1523C4⋊C8—711no—
1524C4⋊C8—711no—
1525C4⋊C8C22×D7111yescharacteristic, complemented
1526#103—711no—
1527#103—711no—
1528#103—711no—
1529#103—711no—
1530#103—711no—
1531#103—711no—
1532#103—711no—
1533#103—711no—
1534#103—711no—
1535#103C22×D7111yescharacteristic, complemented
1536#103C22×D7111yescharacteristic, complemented
1537#103C22×D7111yescharacteristic, complemented
1538#102—711no—
1539#102—711no—
1540#102—711no—
1541#102—711no—
1542#102—711no—
1543#102—711no—
1544#102—711no—
1545#102—711no—
1546#102—711no—
1547#102C22×D7111yescharacteristic
1548#102C22×D7111yescharacteristic
1549#102C22×D7111yescharacteristic, complemented
1550C22⋊C8—711no—
1551C22⋊C8—711no—
1552C22⋊C8—711no—
1553C22⋊C8—711no—
1554C22⋊C8—711no—
1555C22⋊C8—711no—
1556C22⋊C8C22×D7111yescharacteristic
1557C22⋊C8C22×D7111yescharacteristic, complemented
1558#97—711no—
1559#97—711no—
1560#97—711no—
1561#97C22×D7111yescharacteristic, complemented
1562C24—21no—
1563C24—2844no—
1564C24—2844no—
1565C24—5682no—
1566C24—711no—
1567C24—711no—
1568C24—1421no—
1569C24—1421no—
1570C24—1421no—
1571C24—1421no—
1572C24—1421no—
1573C24—1421no—
1574#41—22no—
1575#41—22no—
1576#41—22no—
1577#41—41no—
1578#41—41no—
1579#41—41no—
1580#41—2841no—
1581#41—2841no—
1582#41—2841no—
1583#41—2844no—
1584#41—2844no—
1585#41—2844no—
1586#41—2841no—
1587#41—2841no—
1588#41—2841no—
1589#41—2844no—
1590#41—2844no—
1591#41—2844no—
1592#41—2841no—
1593#41—2841no—
1594#41—2841no—
1595#41—1422no—
1596#41—1422no—
1597#41—1422no—
1598#41—1422no—
1599#41—1422no—
1600#41—1422no—
1601#41—1422no—
1602#41—1422no—
1603#41—1422no—
1604C2×Q8—711no—
1605C2×Q8—711no—
1606C2×Q8—711no—
1607C2×Q8—1421no—
1608C2×Q8—1421no—
1609C2×Q8—1421no—
1610C2×Q8—1422no—
1611C2×Q8—1422no—
1612C2×Q8—1422no—
1613C2×Q8—1422no—
1614C2×Q8—1422no—
1615C2×Q8—1422no—
1616C2×Q8C23×D7111yescharacteristic
1617C2×Q8C23×D7111yescharacteristic
1618C2×Q8C23×D7111yescharacteristic
1619C2×D4—22no—
1620C2×D4—21no—
1621C2×D4—21no—
1622C2×D4—21no—
1623C2×D4—21no—
1624C2×D4—21no—
1625C2×D4—41no—
1626C2×D4—2841no—
1627C2×D4—2844no—
1628C2×D4—2844no—
1629C2×D4—2844no—
1630C2×D4—2841no—
1631C2×D4—2841no—
1632C2×D4—2844no—
1633C2×D4—2842no—
1634C2×D4—2844no—
1635C2×D4—2844no—
1636C2×D4—5682no—
1637C2×D4—711no—
1638C2×D4—711no—
1639C2×D4—714no—
1640C2×D4—714no—
1641C2×D4—711no—
1642C2×D4—711no—
1643C2×D4—711no—
1644C2×D4—711no—
1645C2×D4—1421no—
1646C2×D4—1421no—
1647C2×D4—1421no—
1648C2×D4—1422no—
1649C2×D4—1421no—
1650C2×D4—1422no—
1651C2×D4—1422no—
1652C2×D4—1422no—
1653C2×D4—1422no—
1654C2×D4—1421no—
1655C2×D4—1421no—
1656C2×D4—1421no—
1657C2×D4—1421no—
1658C2×D4—1421no—
1659C2×D4—1422no—
1660C2×D4—1421no—
1661C2×D4—1421no—
1662C2×D4—1421no—
1663C2×D4—1421no—
1664C2×D4—1421no—
1665C2×D4—1421no—
1666C2×D4—1422no—
1667C2×D4—1421no—
1668C2×D4—1421no—
1669C2×D4—1421no—
1670C2×D4D4×D7111yescharacteristic
1671C2×D4C23×D7111yescharacteristic
1672C2×D4C23×D7111yescharacteristic
1673C2×D4C23×D7111yescharacteristic
1674C22×C4—21no—
1675C22×C4—21no—
1676C22×C4—21no—
1677C22×C4—21no—
1678C22×C4—21no—
1679C22×C4—2844no—
1680C22×C4—2844no—
1681C22×C4—2844no—
1682C22×C4—2844no—
1683C22×C4—5682no—
1684C22×C4—711no—
1685C22×C4—711no—
1686C22×C4—711no—
1687C22×C4—711no—
1688C22×C4—711no—
1689C22×C4—711no—
1690C22×C4—711no—
1691C22×C4—711no—
1692C22×C4—711no—
1693C22×C4—711no—
1694C22×C4—711no—
1695C22×C4—1421no—
1696C22×C4—1421no—
1697C22×C4—1421no—
1698C22×C4—1421no—
1699C22×C4—1421no—
1700C22×C4—1421no—
1701C22×C4—1421no—
1702C22×C4—1421no—
1703C22×C4—1421no—
1704C22×C4—1421no—
1705C22×C4—1422no—
1706C22×C4—1422no—
1707C22×C4—1422no—
1708C22×C4—1422no—
1709C22×C4—1421no—
1710C22×C4—1421no—
1711C22×C4—1421no—
1712C22×C4—1421no—
1713C22×C4—1421no—
1714C22×C4—1421no—
1715C22×C4—1421no—
1716C22×C4—1421no—
1717C22×C4—1421no—
1718C22×C4—1421no—
1719C22×C4C23×D7111yescharacteristic
1720C22×C4C23×D7111yescharacteristic
1721Q16—22no—
1722Q16—41no—
1723Q16—2841no—
1724Q16—2841no—
1725Q16—2841no—
1726Q16—1422no—
1727Q16—1422no—
1728Q16—1422no—
1729SD16—22no—
1730SD16—22no—
1731SD16—22no—
1732SD16—22no—
1733SD16—41no—
1734SD16—2841no—
1735SD16—2841no—
1736SD16—2841no—
1737SD16—1422no—
1738SD16—1422no—
1739SD16—1422no—
1740SD16—1422no—
1741SD16—1422no—
1742SD16—1422no—
1743SD16—1422no—
1744SD16—1422no—
1745SD16—1422no—
1746SD16—1422no—
1747SD16—1422no—
1748SD16—1422no—
1749D8—22no—
1750D8—714no—
1751D8—714no—
1752D8—714no—
1753D8—1422no—
1754D8—1422no—
1755D8—1422no—
1756D8D4×D7114yescomplemented
1757M16—22no—
1758M16—1422no—
1759M16—1422no—
1760M16—1422no—
1761C2×C8—22no—
1762C2×C8—711no—
1763C2×C8—714no—
1764C2×C8—711no—
1765C2×C8—711no—
1766C2×C8—711no—
1767C2×C8—1422no—
1768C2×C8—1422no—
1769C2×C8—1422no—
1770C2×C8—1422no—
1771C2×C8—1422no—
1772C2×C8—1422no—
1773C2×C8C23×D7111yescharacteristic
1774C2×C8C23×D7111yescharacteristic
1775C2×C8C23×D7111yescharacteristic
1776C2×C8C23×D7111yescharacteristic
1777C4⋊C4—21no—
1778C4⋊C4—21no—
1779C4⋊C4—21no—
1780C4⋊C4—21no—
1781C4⋊C4—21no—
1782C4⋊C4—711no—
1783C4⋊C4—711no—
1784C4⋊C4—711no—
1785C4⋊C4—711no—
1786C4⋊C4—711no—
1787C4⋊C4—1421no—
1788C4⋊C4—1421no—
1789C4⋊C4—1421no—
1790C4⋊C4—1421no—
1791C4⋊C4—1421no—
1792C4⋊C4—1421no—
1793C4⋊C4—1421no—
1794C4⋊C4—1421no—
1795C4⋊C4—1421no—
1796C4⋊C4—1421no—
1797C4⋊C4—1421no—
1798C4⋊C4—1421no—
1799C4⋊C4—1421no—
1800C4⋊C4—1421no—
1801C4⋊C4—1421no—
1802C4⋊C4—1421no—
1803C4⋊C4—1421no—
1804C4⋊C4D4×D7111yescharacteristic
1805C4⋊C4C23×D7111yescharacteristic
1806C4⋊C4C23×D7111yescharacteristic
1807C22⋊C4—21no—
1808C22⋊C4—21no—
1809C22⋊C4—21no—
1810C22⋊C4—21no—
1811C22⋊C4—21no—
1812C22⋊C4—21no—
1813C22⋊C4—21no—
1814C22⋊C4—21no—
1815C22⋊C4—711no—
1816C22⋊C4—711no—
1817C22⋊C4—711no—
1818C22⋊C4—711no—
1819C22⋊C4—711no—
1820C22⋊C4—711no—
1821C22⋊C4—1421no—
1822C22⋊C4—1421no—
1823C22⋊C4—1421no—
1824C22⋊C4—1421no—
1825C22⋊C4—1421no—
1826C22⋊C4—1421no—
1827C22⋊C4—1421no—
1828C22⋊C4—1421no—
1829C22⋊C4—1421no—
1830C22⋊C4—1421no—
1831C22⋊C4—1421no—
1832C22⋊C4—1421no—
1833C22⋊C4—1421no—
1834C22⋊C4—1421no—
1835C22⋊C4—1421no—
1836C22⋊C4—1421no—
1837C22⋊C4—1421no—
1838C22⋊C4—1421no—
1839C22⋊C4—1421no—
1840C22⋊C4—1421no—
1841C22⋊C4—1421no—
1842C22⋊C4—1421no—
1843C22⋊C4—1421no—
1844C22⋊C4—1421no—
1845C22⋊C4D4×D7111yescharacteristic
1846C22⋊C4D4×D7111yescharacteristic
1847C42—711no—
1848C42—711no—
1849C42—711no—
1850C42C23×D7111yescharacteristic
1851C23—21no—
1852C23—21no—
1853C23—21no—
1854C23—42no—
1855C23—42no—
1856C23—81no—
1857C23—2842no—
1858C23—2842no—
1859C23—2842no—
1860C23—2842no—
1861C23—2842no—
1862C23—2842no—
1863C23—2842no—
1864C23—2842no—
1865C23—2842no—
1866C23—2842no—
1867C23—2842no—
1868C23—2842no—
1869C23—2842no—
1870C23—5681no—
1871C23—5681no—
1872C23—5681no—
1873C23—56816no—
1874C23—711no—
1875C23—711no—
1876C23—711no—
1877C23—1424no—
1878C23—1424no—
1879C23—1422no—
1880C23—1422no—
1881C23—1422no—
1882C23—1422no—
1883C23—1422no—
1884C23—1422no—
1885C23—1421no—
1886C23—1421no—
1887C23—1421no—
1888C23C2×D4×D7111yescharacteristic
1889C23C2×D4×D7111yescharacteristic
1890Q8—21no—
1891Q8—21no—
1892Q8—21no—
1893Q8—21no—
1894Q8—21no—
1895Q8—21no—
1896Q8—2842no—
1897Q8—2842no—
1898Q8—2842no—
1899Q8—1421no—
1900Q8—1421no—
1901Q8—1421no—
1902Q8—1421no—
1903Q8—1421no—
1904Q8—1421no—
1905D4—21no—
1906D4—21no—
1907D4—21no—
1908D4—21no—
1909D4—41no—
1910D4—42no—
1911D4—42no—
1912D4—42no—
1913D4—42no—
1914D4—81no—
1915D4—2842no—
1916D4—2841no—
1917D4—2842no—
1918D4—2842no—
1919D4—2842no—
1920D4—2842no—
1921D4—2842no—
1922D4—2842no—
1923D4—2842no—
1924D4—2842no—
1925D4—2842no—
1926D4—2842no—
1927D4—2842no—
1928D4—2841no—
1929D4—2841no—
1930D4—2842no—
1931D4—5681no—
1932D4—5681no—
1933D4—5681no—
1934D4—712no—
1935D4—712no—
1936D4—1424no—
1937D4—1424no—
1938D4—1421no—
1939D4—1421no—
1940D4—1421no—
1941D4—1421no—
1942D4C2×D4×D7112yes—
1943D4C2×D4×D7112yes—
1944C2×C4—21no—
1945C2×C4—21no—
1946C2×C4—21no—
1947C2×C4—21no—
1948C2×C4—21no—
1949C2×C4—21no—
1950C2×C4—21no—
1951C2×C4—21no—
1952C2×C4—21no—
1953C2×C4—42no—
1954C2×C4—42no—
1955C2×C4—42no—
1956C2×C4—42no—
1957C2×C4—81no—
1958C2×C4—2842no—
1959C2×C4—2842no—
1960C2×C4—2842no—
1961C2×C4—2842no—
1962C2×C4—2842no—
1963C2×C4—2842no—
1964C2×C4—2842no—
1965C2×C4—2842no—
1966C2×C4—2842no—
1967C2×C4—2842no—
1968C2×C4—2842no—
1969C2×C4—2842no—
1970C2×C4—2842no—
1971C2×C4—2842no—
1972C2×C4—2842no—
1973C2×C4—2842no—
1974C2×C4—2842no—
1975C2×C4—5681no—
1976C2×C4—5681no—
1977C2×C4—5681no—
1978C2×C4—711no—
1979C2×C4—712no—
1980C2×C4—712no—
1981C2×C4—711no—
1982C2×C4—711no—
1983C2×C4—711no—
1984C2×C4—711no—
1985C2×C4—1422no—
1986C2×C4—1422no—
1987C2×C4—1422no—
1988C2×C4—1422no—
1989C2×C4—1422no—
1990C2×C4—1422no—
1991C2×C4—1421no—
1992C2×C4—1421no—
1993C2×C4—1421no—
1994C2×C4—1421no—
1995C2×C4—1421no—
1996C2×C4—1422no—
1997C2×C4—1422no—
1998C2×C4—1421no—
1999C2×C4—1421no—
2000C2×C4—1421no—
2001C2×C4—1421no—
2002C2×C4C2×D4×D7111yescharacteristic
2003C2×C4C2×D4×D7111yescharacteristic
2004C2×C4C2×D4×D7111yescharacteristic
2005C2×C4C2×D4×D7111yescharacteristic
2006C2×C4C24×D7111yescharacteristic
2007C8—21no—
2008C8—21no—
2009C8—21no—
2010C8—712no—
2011C8—1421no—
2012C8—1421no—
2013C8—1421no—
2014C8C2×D4×D7112yes—
2015C22—21no—
2016C22—21no—
2017C22—22no—
2018C22—22no—
2019C22—21no—
2020C22—21no—
2021C22—21no—
2022C22—21no—
2023C22—41no—
2024C22—41no—
2025C22—41no—
2026C22—41no—
2027C22—41no—
2028C22—41no—
2029C22—41no—
2030C22—84no—
2031C22—2848no—
2032C22—2848no—
2033C22—2844no—
2034C22—2844no—
2035C22—2841no—
2036C22—2841no—
2037C22—2841no—
2038C22—2841no—
2039C22—2841no—
2040C22—2841no—
2041C22—2841no—
2042C22—5684no—
2043C22—5684no—
2044C22—5684no—
2045C22—5684no—
2046C22—712no—
2047C22—712no—
2048C22—712no—
2049C22—1422no—
2050C22—1422no—
2051C22—1421no—
2052C22—1421no—
2053C22—1421no—
2054C22—1421no—
2055C22—1421no—
2056C22—1421no—
2057C22C22×D4×D7111yescharacteristic
2058C4—21no—
2059C4—21no—
2060C4—21no—
2061C4—21no—
2062C4—41no—
2063C4—41no—
2064C4—41no—
2065C4—41no—
2066C4—41no—
2067C4—2841no—
2068C4—2841no—
2069C4—2841no—
2070C4—2841no—
2071C4—2841no—
2072C4—712no—
2073C4—1421no—
2074C4—1421no—
2075C4—1421no—
2076C4—1421no—
2077C4C22×D4×D7111yescharacteristic
2078C4H(5,𝔽2)×D7111yescharacteristic
2079C2—41no—
2080C2—41no—
2081C2—42no—
2082C2—42no—
2083C2—81no—
2084C2—2842no—
2085C2—2842no—
2086C2—2841no—
2087C2—2841no—
2088C2—5681no—
2089C2—714no—
2090C2D42×D7111yescharacteristic
2091C2#575×D7111yescharacteristic
2092C2#577×D7111yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3267C2
socleC22×C71C23×D4
hypercenter#3267D71
hypocenterC71C2×#3267
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3267

Complements

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

NH ≅ G/Ntype
1. C2×AGL(1,ℤ/8)×D71C2semidirect
2. C2×#135×D71C2semidirect
3. #547×D71C2semidirect
4. #546×D71C2semidirect
5. #22599872C2semidirect
6. #22599871C2semidirect
7. #22599870C2semidirect
8. #22599869C2semidirect
9. #22599868C2semidirect
10. #22599867C2semidirect
11. #22599866C2semidirect
12. #22599865C2semidirect
13. #22599864C2semidirect
14. #22599863C2semidirect
15. #22599862C2semidirect
16. #22599861C2semidirect
17. #22599860C2semidirect
18. #22599859C2semidirect
19. #22599858C2semidirect
20. #497×D71C2semidirect
21. #470×D71C2semidirect
22. #465×D71C2semidirect
23. #463×D71C2semidirect
24. #461×D71C2semidirect
25. #452×D71C2semidirect
26. #452×D71C2semidirect
27. #449×D71C2semidirect
28. #450×D71C2semidirect
29. #442×D71C2semidirect
30. #435×D71C2semidirect
31. C71×#3267C2semidirect
34. C2×#41×D71C22semidirect
36. C2×#14556156C22semidirect
37. C2×#14556155C22semidirect
38. C2×#14556155C22semidirect
39. C2×#14556154C22semidirect
40. C2×#14556153C22semidirect
41. C2×#14556152C22semidirect
42. C2×#14556152C22semidirect
44. C2×#14556151C22semidirect
45. C2×#14556150C22semidirect
46. C2×#14556149C22semidirect
47. C2×#14556149C22semidirect
48. C2×#14556148C22semidirect
49. C2×#14556148C22semidirect
50. C2×#14556147C22semidirect
52. C2×Q16×D71C22semidirect
53. C2×Q16×D71C22semidirect
58. C2×SD16×D71C22semidirect
62. C22×C8×D71C22semidirect
63. #17986654C22semidirect
64. #17986653C22semidirect
65. #17986652C22semidirect
66. #17986651C22semidirect
67. #17986651C22semidirect
70. #17986648C22semidirect
71. #17986648C22semidirect
74. #17986646C22semidirect
75. #17986645C22semidirect
76. #17986644C22semidirect
77. #17986643C22semidirect
78. #17986642C22semidirect
80. #17986640C22semidirect
83. #17986637C22semidirect
85. C4⋊Q8×D71C22semidirect
92. C22⋊Q8×D71C22semidirect
99. C4×D4×D71C22semidirect
102. #17986394C22semidirect
103. #17986393C22semidirect
104. #17986392C22semidirect
105. #17986392C22semidirect
106. #17986391C22semidirect
107. #17986390C22semidirect
108. #17986390C22semidirect
109. #17986258C22semidirect
110. #17986257C22semidirect
111. #17986256C22semidirect
112. #17986256C22semidirect
113. #17986255C22semidirect
114. #17986255C22semidirect
115. #17986254C22semidirect
116. #17986231C22semidirect
117. #17986230C22semidirect
118. #17986229C22semidirect
119. #17986228C22semidirect
120. #17986227C22semidirect
121. #17986226C22semidirect
122. #17986225C22semidirect
123. #17986217C22semidirect
124. #17986216C22semidirect
125. #17986215C22semidirect
126. #17986214C22semidirect
127. #17986213C22semidirect
128. #17986212C22semidirect
129. #17986211C22semidirect
130. #17986205C22semidirect
131. #17986204C22semidirect
132. #17986203C22semidirect
133. #17986203C22semidirect
134. #17986202C22semidirect
135. #17986202C22semidirect
136. #17986201C22semidirect
137. #17986164C22semidirect
138. #17986164C22semidirect
139. #17986163C22semidirect
140. #17986163C22semidirect
141. #17986162C22semidirect
142. #17986162C22semidirect
143. #17986161C22semidirect
144. #17986161C22semidirect
145. #17986160C22semidirect
146. #17986160C22semidirect
147. #17986159C22semidirect
148. #17986159C22semidirect
149. #17986158C22semidirect
150. #17986158C22semidirect
151. #17986152C22semidirect
152. #17986151C22semidirect
153. #17986151C22semidirect
154. #17986150C22semidirect
155. #17986149C22semidirect
156. #17986148C22semidirect
157. #17986148C22semidirect
158. #17986147C22semidirect
159. #17986146C22semidirect
160. #17986145C22semidirect
161. #17986144C22semidirect
162. #17986143C22semidirect
163. #17986142C22semidirect
164. #17986141C22semidirect
165. #17986112C22semidirect
166. #17986111C22semidirect
167. #17986110C22semidirect
168. #17986109C22semidirect
169. #17986109C22semidirect
170. #17986108C22semidirect
171. #17986108C22semidirect
172. #17986073C22semidirect
173. #17986072C22semidirect
174. #17986071C22semidirect
175. #17986070C22semidirect
176. #17986069C22semidirect
177. #17986068C22semidirect
178. #17986067C22semidirect
179. #106×D71C22semidirect
180. C4⋊C8×D71C22semidirect
181. #103×D71C22semidirect
182. #103×D71C22semidirect
183. #103×D71C22semidirect
186. #102×D71C22semidirect
188. C22⋊C8×D71C22semidirect
189. #97×D71C22semidirect
190. C2×AGL(1,ℤ/8)×C71C22semidirect
191. C2×#135×C71C22semidirect
192. #547×C71C22semidirect
193. #546×C71C22semidirect
194. #497×C71C22semidirect
195. #470×C71C22semidirect
196. #465×C71C22semidirect
197. #463×C71C22semidirect
198. #461×C71C22semidirect
199. #452×C71C22semidirect
200. #452×C71C22semidirect
201. #450×C71C22semidirect
202. #449×C71C22semidirect
203. #442×C71C22semidirect
204. #435×C71C22semidirect
208. C2×#11765866C23semidirect
214. C2×#11765865C23semidirect
220. C2×#11765864C23semidirect
267. C2×Dic284C23semidirect
268. C2×Dic284C23semidirect
269. C2×#11765855C23semidirect
270. C2×#11765855C23semidirect
271. C2×#11765855C23semidirect
272. C2×#11765855C23semidirect
279. C2×#11765854C23semidirect
284. C2×#11765853C23semidirect
289. C2×#11765852C23semidirect
302. D8×D71D4semidirect
307. C22×C71⋊C8C23semidirect
313. C2×C8×D71C23semidirect
314. C2×C8×D71C23semidirect
315. #14556128C23semidirect
318. #14556126C23semidirect
319. #14556126C23semidirect
348. #14556108C23semidirect
351. #14556107C23semidirect
360. #14556104C23semidirect
389. C4×D284C23semidirect
392. D4×Dic71C23semidirect
395. #14556090C23semidirect
437. #14556060C23semidirect
438. #14556059C23semidirect
439. #14556059C23semidirect
440. C4⋊(C71⋊C8)C23semidirect
441. Dic71⋊C8C23semidirect
442. Dic71⋊C8C23semidirect
443. #14556053C23semidirect
444. #14556053C23semidirect
445. #14556053C23semidirect
446. #14556052C23semidirect
447. #14556052C23semidirect
448. #14556052C23semidirect
449. #14556051C23semidirect
450. #14556051C23semidirect
451. #14556051C23semidirect
454. #14556050C23semidirect
457. #14556049C23semidirect
460. #14556048C23semidirect
462. C22⋊(C71⋊C8)C23semidirect
465. (C2×D71)⋊C8C23semidirect
466. (C2×D71)⋊C8C23semidirect
467. #14556039C23semidirect
468. #14556038C23semidirect
469. #14556038C23semidirect
472. C2×#41×C71C23semidirect
476. C2×Q16×C71C23semidirect
477. C2×Q16×C71C23semidirect
482. C2×SD16×C71C23semidirect
486. C22×C8×C71C23semidirect
487. C4⋊Q8×C71C23semidirect
494. C22⋊Q8×C71C23semidirect
501. C4×D4×C71C23semidirect
504. #106×C71C23semidirect
505. C4⋊C8×C71C23semidirect
506. #103×C71C23semidirect
507. #103×C71C23semidirect
508. #103×C71C23semidirect
511. #102×C71C23semidirect
513. C22⋊C8×C71C23semidirect
514. #97×C71C23semidirect
668. D568C2×D4semidirect
671. #11765850C2×D4semidirect
672. #11765850C2×D4semidirect
778. D8×C71C2×D4semidirect
1046. D71#3267direct (N × H)
1066. #3267D71direct (N × H)
1078. C71C2×#3267semidirect
1091. C2×AGL(1,ℤ/8)C2×D71semidirect
1100. C2×#135C2×D71semidirect
1123. #547C2×D71semidirect
1135. #546C2×D71semidirect
1160. #497C2×D71semidirect
1168. #470C2×D71semidirect
1176. #465C2×D71semidirect
1184. #463C2×D71semidirect
1192. #461C2×D71semidirect
1207. #452C2×D71semidirect
1208. #452C2×D71semidirect
1216. #450C2×D71semidirect
1224. #449C2×D71semidirect
1232. #442C2×D71semidirect
1240. #435C2×D71semidirect
1276. C2×#41C22×D71semidirect
1328. C2×Q16C22×D71semidirect
1329. C2×Q16C22×D71semidirect
1354. C2×SD16C22×D71semidirect
1378. C22×C8C22×D71semidirect
1384. C4⋊Q8C22×D71semidirect
1432. C22⋊Q8C22×D71semidirect
1482. C4×D4C22×D71semidirect
1521. #106C22×D71semidirect
1525. C4⋊C8C22×D71semidirect
1535. #103C22×D71semidirect
1536. #103C22×D71semidirect
1537. #103C22×D71semidirect
1549. #102C22×D71semidirect
1557. C22⋊C8C22×D71semidirect
1561. #97C22×D71semidirect
1756. D8D4×D71semidirect

Maximal subgroups

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

subgroupindex
C2×AGL(1,ℤ/8)×D712
C2×#135×D712
#547×D712
#546×D712
#225998722
#225998712
#225998702
#225998692
#225998682
#225998672
#225998662
#225998652
#225998642
#225998632
#225998622
#225998612
#225998602
#225998592
#225998582
#497×D712
#470×D712
#465×D712
#463×D712
#461×D712
#452×D712
#449×D712
#450×D712
#442×D712
#435×D712
C71×#32672
C2×#326771