Finite Group Databasebeta

← #32868293

Subgroups — #32868293

Order 18176.

2310 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22602018C211yesmaximal, characteristic, complemented
2#535×D71C211yesmaximal, characteristic, complemented
3#22599211C211yesmaximal, characteristic, complemented
4#22599209C211yesmaximal, characteristic, complemented
5#22599207C211yesmaximal, characteristic, complemented
6#22599198C211yesmaximal, characteristic, complemented
7#22599196C211yesmaximal, characteristic, complemented
8#22599194C211yesmaximal, characteristic, complemented
9#22599192C211yesmaximal, characteristic, complemented
10#22599158C211yesmaximal, characteristic, complemented
11#22599155C211yesmaximal, characteristic, complemented
12#22599144C211yesmaximal, characteristic, complemented
13#22599141C211yesmaximal, characteristic, complemented
14#22599109C211yesmaximal, characteristic, complemented
15#22599106C211yesmaximal, characteristic, complemented
16#22599095C211yesmaximal, characteristic, complemented
17#22599092C211yesmaximal, characteristic, complemented
18#22598295C211yesmaximal, characteristic, complemented
19#22598293C211yesmaximal, characteristic, complemented
20#22598287C211yesmaximal, characteristic, complemented
21#22598258C211yesmaximal, characteristic, complemented
22#22598015C211yesmaximal, characteristic, complemented
23#22598013C211yesmaximal, characteristic, complemented
24#22597977C211yesmaximal, characteristic, complemented
25#22597974C211yesmaximal, characteristic, complemented
26#22597621C211yesmaximal, characteristic, complemented
27#22597621C211yesmaximal, characteristic, complemented
28#22597568C211yesmaximal, characteristic, complemented
29#450×D71C211yesmaximal, characteristic, complemented
30#22596788C211yesmaximal, characteristic, complemented
31C71×#3200C211yesmaximal, characteristic, complemented
32C2×#14556176C2211yescharacteristic, complemented
33C2×#41×D71C2211yescharacteristic
34C22×D4×D71C2211yescharacteristic
35C2×#14556155C2211yescharacteristic, complemented
36C2×#14556155C2211yescharacteristic, complemented
37C2×SD16×D71C2211yescharacteristic, complemented
38C2×SD16×D71C2211yescharacteristic, complemented
39C2×#14556136C2211yescharacteristic, complemented
40C2×#14556134C2211yescharacteristic, complemented
41#17986664—21no—
42#17986657—21no—
43#17986652—21no—
44#17986647—21no—
45#17986647—21no—
46#17986642—21no—
47#17986641—21no—
48#17986641—21no—
49#17986579C2211yescharacteristic, complemented
50#17986579C2211yescharacteristic, complemented
51#17986577C2211yescharacteristic, complemented
52#17986572C2211yescharacteristic, complemented
53#17986572C2211yescharacteristic, complemented
54#17986568C2211yescharacteristic
55#17986567—21no—
56#17986566C2211yescharacteristic
57#17986565C2211yescharacteristic
58#17986565C2211yescharacteristic
59#17986565C2211yescharacteristic
60#17986565C2211yescharacteristic
61#17986564—21no—
62#17986564—21no—
63#17986563C2211yescharacteristic
64#17986562—21no—
65#127×D71—21no—
66#124×D71—21no—
67#17986512C2211yescharacteristic
68#17986512C2211yescharacteristic, complemented
69#17986511C2211yescharacteristic, complemented
70C2×#14556104C2211yescharacteristic, complemented
71C22⋊Q8×D71C2211yescharacteristic
72C22⋊Q8×D71C2211yescharacteristic, complemented
73#121×D71C2211yescharacteristic
74#121×D71C2211yescharacteristic
75#121×D71C2211yescharacteristic
76#121×D71C2211yescharacteristic
77#120×D71—21no—
78#120×D71—21no—
79#17986479C2211yescharacteristic, complemented
80#117×D71C2211yescharacteristic
81#17986341C2211yescharacteristic, complemented
82#17986340C2211yescharacteristic, complemented
83#17986337C2211yescharacteristic, complemented
84#17986337C2211yescharacteristic, complemented
85#17986336C2211yescharacteristic, complemented
86#17986333C2211yescharacteristic, complemented
87#17986333C2211yescharacteristic, complemented
88#17986331C2211yescharacteristic, complemented
89#17986328C2211yescharacteristic, complemented
90#17986328C2211yescharacteristic, complemented
91#17986326C2211yescharacteristic, complemented
92#17986325C2211yescharacteristic, complemented
93#17986324C2211yescharacteristic, complemented
94#17986323C2211yescharacteristic, complemented
95#17986323C2211yescharacteristic, complemented
96#17986323C2211yescharacteristic, complemented
97#17986322C2211yescharacteristic, complemented
98#17986321C2211yescharacteristic, complemented
99#17986319C2211yescharacteristic, complemented
100#17986319C2211yescharacteristic, complemented
101#17986318C2211yescharacteristic, complemented
102#17986316C2211yescharacteristic, complemented
103#17986315C2211yescharacteristic, complemented
104#17986314C2211yescharacteristic, complemented
105#17986314C2211yescharacteristic, complemented
106#17986313C2211yescharacteristic, complemented
107#17986311C2211yescharacteristic, complemented
108#17986310C2211yescharacteristic, complemented
109#17986253C2211yescharacteristic, complemented
110#17986252C2211yescharacteristic, complemented
111#17986251C2211yescharacteristic, complemented
112#17986250C2211yescharacteristic, complemented
113#17986248C2211yescharacteristic, complemented
114#17986248C2211yescharacteristic, complemented
115#17986247C2211yescharacteristic, complemented
116#17986247C2211yescharacteristic, complemented
117#17986246C2211yescharacteristic, complemented
118#17986245C2211yescharacteristic, complemented
119#17986244C2211yescharacteristic, complemented
120#17986243C2211yescharacteristic, complemented
121#17986242C2211yescharacteristic, complemented
122#17986242C2211yescharacteristic, complemented
123#17986236C2211yescharacteristic, complemented
124#17986235C2211yescharacteristic, complemented
125#17986234C2211yescharacteristic, complemented
126#17986233C2211yescharacteristic, complemented
127#17986231C2211yescharacteristic, complemented
128#17986231C2211yescharacteristic, complemented
129#17986230C2211yescharacteristic, complemented
130#17986230C2211yescharacteristic, complemented
131#17986229C2211yescharacteristic, complemented
132#17986228C2211yescharacteristic, complemented
133#17986227C2211yescharacteristic, complemented
134#17986226C2211yescharacteristic, complemented
135#17986225C2211yescharacteristic, complemented
136#17986225C2211yescharacteristic, complemented
137#17986152C2211yescharacteristic, complemented
138#17986151C2211yescharacteristic
139#17986151C2211yescharacteristic
140#17986150C2211yescharacteristic, complemented
141#17986149C2211yescharacteristic, complemented
142#17986149C2211yescharacteristic, complemented
143#17986148C2211yescharacteristic
144#17986148C2211yescharacteristic
145#17986148C2211yescharacteristic
146#17986148C2211yescharacteristic
147#17986147C2211yescharacteristic, complemented
148#17986147C2211yescharacteristic, complemented
149#17986146C2211yescharacteristic, complemented
150#17986146C2211yescharacteristic, complemented
151#17986143C2211yescharacteristic, complemented
152#17986143C2211yescharacteristic, complemented
153#17986142C2211yescharacteristic, complemented
154#17986142C2211yescharacteristic, complemented
155#17986139C2211yescharacteristic, complemented
156#17986139C2211yescharacteristic, complemented
157#17986138C2211yescharacteristic, complemented
158#17986138C2211yescharacteristic, complemented
159#17986136C2211yescharacteristic, complemented
160#17986136C2211yescharacteristic, complemented
161#17986135C2211yescharacteristic, complemented
162#17986134C2211yescharacteristic
163#17986134C2211yescharacteristic
164#17986133C2211yescharacteristic, complemented
165#17986040C2211yescharacteristic, complemented
166#17986038C2211yescharacteristic, complemented
167#17986036C2211yescharacteristic, complemented
168#17986034C2211yescharacteristic, complemented
169#17986006C2211yescharacteristic, complemented
170#17986006C2211yescharacteristic, complemented
171#17986002C2211yescharacteristic, complemented
172#17986002C2211yescharacteristic, complemented
173#17985994C2211yescharacteristic, complemented
174#17985994C2211yescharacteristic, complemented
175#102×D71C2211yescharacteristic, complemented
176#102×D71C2211yescharacteristic, complemented
177#17985966C2211yescharacteristic, complemented
178#17985964C2211yescharacteristic, complemented
179#17985964C2211yescharacteristic, complemented
180#17985964C2211yescharacteristic, complemented
181#17985964C2211yescharacteristic, complemented
182#17985962C2211yescharacteristic, complemented
183#17985961C2211yescharacteristic
184#17985961C2211yescharacteristic, complemented
185C2×(C2×D71)⋊C8C2211yescharacteristic, complemented
186C22⋊C8×D71C2211yescharacteristic
187C22⋊C8×D71C2211yescharacteristic, complemented
188#536×C71C2211yescharacteristic, complemented
189#535×C71C2211yescharacteristic
190#485×C71C2211yescharacteristic, complemented
191#485×C71C2211yescharacteristic, complemented
192#482×C71C2211yescharacteristic, complemented
193#482×C71C2211yescharacteristic, complemented
194#468×C71C2211yescharacteristic, complemented
195#468×C71C2211yescharacteristic, complemented
196#465×C71C2211yescharacteristic, complemented
197#465×C71C2211yescharacteristic, complemented
198#450×C71C2211yescharacteristic, complemented
199#450×C71C2211yescharacteristic, complemented
200#448×C71C2211yescharacteristic, complemented
201#448×C71C2211yescharacteristic, complemented
202#408×C71C2211yescharacteristic, complemented
203C24×D71—21no—
204#14556176—42no—
205#14556176—42no—
206C2×#11765866—21no—
207C2×#11765866D411yescharacteristic
208C2×#11765866C2311yescharacteristic
209C2×#11765866C2311yescharacteristic, complemented
210C2×#11765865—21no—
211C2×#11765865—21no—
212C2×#11765865C2311yescharacteristic
213C2×#11765865C2311yescharacteristic
214C2×#11765865C2311yescharacteristic
215C2×#11765865C2311yescharacteristic, complemented
216C2×#11765864D411yescharacteristic
217C2×#11765864D411yescharacteristic
218C2×#11765864D411yescharacteristic
219#41×D71—42no—
220#41×D71—42no—
221C2×Q8×D71—21no—
222C2×Q8×D71D411yescharacteristic
223C2×Q8×D71C2311yescharacteristic
224C2×Q8×D71C2311yescharacteristic, complemented
225C22×D284C2311yescharacteristic
226C22×C22⋊D71—21no—
227C2×D4×D71—21no—
228C2×D4×D71—21no—
229C2×D4×D71—21no—
230C2×D4×D71—21no—
231C2×D4×D71—21no—
232C2×D4×D71—21no—
233C2×D4×D71—42no—
234C2×D4×D71—42no—
235C2×D4×D71D411yescharacteristic
236C2×D4×D71D411yescharacteristic
237C2×D4×D71D411yescharacteristic
238C2×D4×D71C2311yescharacteristic
239C2×D4×D71C2311yescharacteristic
240C2×D4×D71C2311yescharacteristic
241C2×D4×D71C2311yescharacteristic
242C22×C4×D71C2311yescharacteristic
243C22×C4×D71C2311yescharacteristic
244C22×C4×D71C2311yescharacteristic
245#14556155—42no—
246#14556155—42no—
247C2×#11765854C2311yescharacteristic
248C2×#11765854C2311yescharacteristic
249C2×#11765853C2311yescharacteristic
250C2×#11765853C2311yescharacteristic
251C2×#11765852C2311yescharacteristic
252C2×#11765852C2311yescharacteristic
253C2×#11765852C2311yescharacteristic
254C2×#11765852C2311yescharacteristic
255SD16×D71—42no—
256SD16×D71—42no—
257C2×D568C2311yescharacteristic
258C2×D568C2311yescharacteristic
259C2×#11765850C2311yescharacteristic
260C2×#11765850C2311yescharacteristic
261#14556136—42no—
262#14556134—42no—
263C2×#11765849C2311yescharacteristic, complemented
264C2×#11765848C2311yescharacteristic
265C2×#11765848C2311yescharacteristic
266C2×#11765848C2311yescharacteristic, complemented
267C2×#11765848C2311yescharacteristic, complemented
268C22×C71⋊C8C2311yescharacteristic, complemented
269C2×C8×D71C2311yescharacteristic
270C2×C8×D71C2311yescharacteristic
271C2×C8×D71C2311yescharacteristic, complemented
272C2×C8×D71C2311yescharacteristic, complemented
273#14556127—21no—
274#14556127—21no—
275#14556125—21no—
276#14556124—21no—
277#14556124—21no—
278#14556124—21no—
279#14556124—21no—
280#14556124—21no—
281#14556124—21no—
282#14556117—21no—
283#14556116—21no—
284#14556115—21no—
285#14556114—21no—
286#14556114—21no—
287#14556114—21no—
288#14556114—21no—
289#14556114—21no—
290#14556114—21no—
291#14556113—21no—
292#14556113—21no—
293#14556113—21no—
294#14556113—21no—
295#14556112—21no—
296#14556110—21no—
297#14556110—21no—
298#14556108C2311yescharacteristic
299#14556108C2311yescharacteristic, complemented
300#14556107C2311yescharacteristic
301#14556107C2311yescharacteristic, complemented
302#14556106—21no—
303#14556106—21no—
304#14556106—21no—
305#14556106—21no—
306#14556105—21no—
307#14556105—21no—
308#14556104—21no—
309#14556104—21no—
310#14556104—21no—
311#14556104C2311yescharacteristic
312#14556104C2311yescharacteristic
313#14556104C2311yescharacteristic, complemented
314#14556104C2311yescharacteristic, complemented
315#14556103—21no—
316#14556103—21no—
317#14556103C2311yescharacteristic
318#14556103C2311yescharacteristic
319#14556103C2311yescharacteristic
320#14556103C2311yescharacteristic
321#14556103C2311yescharacteristic
322#14556103C2311yescharacteristic, complemented
323#14556102C2311yescharacteristic
324#14556102C2311yescharacteristic
325#14556102C2311yescharacteristic
326#14556102C2311yescharacteristic
327#14556102C2311yescharacteristic
328#14556102C2311yescharacteristic, complemented
329#14556101—21no—
330#14556101—21no—
331#14556101—21no—
332#14556101—21no—
333#14556101—21no—
334#14556101—21no—
335#14556101—21no—
336#14556101—21no—
337#14556100—21no—
338#14556100—21no—
339#14556100—21no—
340#14556100—21no—
341#14556100—21no—
342#14556100—21no—
343#14556099—21no—
344#14556099C2311yescharacteristic
345#14556099C2311yescharacteristic
346#14556099C2311yescharacteristic
347#14556099C2311yescharacteristic
348#14556098—21no—
349#14556098—21no—
350#14556098—21no—
351#14556098—21no—
352#14556098—21no—
353#14556098—21no—
354#14556098—21no—
355#14556098—21no—
356#14556098—21no—
357#14556097—21no—
358#14556097—21no—
359#14556096—21no—
360#14556096—21no—
361#14556096—21no—
362#14556096—21no—
363#14556096—21no—
364#14556096—21no—
365C4×Dic142—21no—
366C4×D284—21no—
367C4×D284—21no—
368C4×D284—21no—
369#14556090—21no—
370#14556090—21no—
371(C22⋊D71)⋊C4—21no—
372(C22⋊D71)⋊C4—21no—
373(C22⋊D71)⋊C4—21no—
374(C22⋊D71)⋊C4—21no—
375#14556087C2311yescharacteristic
376#14556086C2311yescharacteristic
377#14556086C2311yescharacteristic
378#14556086C2311yescharacteristic
379#14556086C2311yescharacteristic, complemented
380#14556085—21no—
381#14556084—21no—
382C2×C4⋊Dic71C2311yescharacteristic, complemented
383C2×Dic71⋊C4—21no—
384C4⋊C4×D71—21no—
385C4⋊C4×D71—21no—
386C4⋊C4×D71C2311yescharacteristic
387C4⋊C4×D71C2311yescharacteristic
388C4⋊C4×D71C2311yescharacteristic
389C4⋊C4×D71C2311yescharacteristic, complemented
390C2×(C2×D71)⋊C4—21no—
391C22⋊C4×D71—21no—
392C22⋊C4×D71—21no—
393C22⋊C4×D71—21no—
394C22⋊C4×D71—21no—
395C22⋊C4×D71—21no—
396C22⋊C4×D71—21no—
397C22⋊C4×D71—21no—
398C42×D71—21no—
399#14556062C2311yescharacteristic, complemented
400#14556062C2311yescharacteristic, complemented
401#14556061C2311yescharacteristic, complemented
402#14556061C2311yescharacteristic, complemented
403#14556061C2311yescharacteristic, complemented
404#14556061C2311yescharacteristic, complemented
405#14556060C2311yescharacteristic, complemented
406#14556060C2311yescharacteristic, complemented
407#14556059C2311yescharacteristic, complemented
408#14556059C2311yescharacteristic, complemented
409#14556059C2311yescharacteristic, complemented
410#14556059C2311yescharacteristic, complemented
411#14556053C2311yescharacteristic, complemented
412#14556053C2311yescharacteristic, complemented
413#14556052C2311yescharacteristic, complemented
414#14556052C2311yescharacteristic, complemented
415#14556052C2311yescharacteristic, complemented
416#14556052C2311yescharacteristic, complemented
417#14556051C2311yescharacteristic, complemented
418#14556051C2311yescharacteristic, complemented
419#14556050C2311yescharacteristic
420#14556050C2311yescharacteristic
421#14556050C2311yescharacteristic
422#14556050C2311yescharacteristic
423#14556050C2311yescharacteristic, complemented
424#14556050C2311yescharacteristic, complemented
425#14556049C2311yescharacteristic
426#14556049C2311yescharacteristic
427#14556049C2311yescharacteristic
428#14556049C2311yescharacteristic
429#14556048C2311yescharacteristic
430#14556048C2311yescharacteristic
431#14556048C2311yescharacteristic
432#14556048C2311yescharacteristic
433#14556048C2311yescharacteristic, complemented
434#14556048C2311yescharacteristic, complemented
435C22⋊(C71⋊C8)C2311yescharacteristic
436C22⋊(C71⋊C8)C2311yescharacteristic
437C22⋊(C71⋊C8)C2311yescharacteristic, complemented
438C22⋊(C71⋊C8)C2311yescharacteristic, complemented
439(C2×D71)⋊C8C2311yescharacteristic
440(C2×D71)⋊C8C2311yescharacteristic
441(C2×D71)⋊C8C2311yescharacteristic
442(C2×D71)⋊C8C2311yescharacteristic
443(C2×D71)⋊C8C2311yescharacteristic, complemented
444(C2×D71)⋊C8C2311yescharacteristic, complemented
445(C2×D71)⋊C8C2311yescharacteristic, complemented
446(C2×D71)⋊C8C2311yescharacteristic, complemented
447C2×#41×C71C2311yescharacteristic
448C22×Q8×C71C2311yescharacteristic, complemented
449C22×D4×C71C2311yescharacteristic
450C2×SD16×C71C2311yescharacteristic
451C2×SD16×C71C2311yescharacteristic
452C2×SD16×C71C2311yescharacteristic
453C2×SD16×C71C2311yescharacteristic
454C2×M16×C71C2311yescharacteristic, complemented
455C22×C8×C71C2311yescharacteristic, complemented
456C4⋊Q8×C71—21no—
457#127×C71—21no—
458#124×C71—21no—
459#124×C71—21no—
460#123×C71—21no—
461#123×C71—21no—
462C22⋊Q8×C71C2311yescharacteristic
463C22⋊Q8×C71C2311yescharacteristic
464C22⋊Q8×C71C2311yescharacteristic, complemented
465C22⋊Q8×C71C2311yescharacteristic, complemented
466#121×C71C2311yescharacteristic
467#121×C71C2311yescharacteristic
468#121×C71C2311yescharacteristic
469#121×C71C2311yescharacteristic
470#120×C71—21no—
471#120×C71—21no—
472#117×C71C2311yescharacteristic
473#117×C71C2311yescharacteristic, complemented
474#107×C71C2311yescharacteristic, complemented
475#107×C71C2311yescharacteristic, complemented
476#106×C71C2311yescharacteristic, complemented
477#106×C71C2311yescharacteristic, complemented
478#103×C71C2311yescharacteristic, complemented
479#103×C71C2311yescharacteristic, complemented
480#103×C71C2311yescharacteristic, complemented
481#103×C71C2311yescharacteristic, complemented
482#102×C71C2311yescharacteristic
483#102×C71C2311yescharacteristic
484#102×C71C2311yescharacteristic
485#102×C71C2311yescharacteristic
486C22⋊C8×C71C2311yescharacteristic
487C22⋊C8×C71C2311yescharacteristic
488C22⋊C8×C71C2311yescharacteristic, complemented
489C22⋊C8×C71C2311yescharacteristic, complemented
490C23×D71—21no—
491C23×D71—21no—
492C23×D71—21no—
493C23×D71—21no—
494C23×D71—21no—
495C23×D71—44no—
496C23×D71—82no—
497C23×D71—82no—
498C23×D71C2×D411yescharacteristic
499C23×D71C2×D411yescharacteristic
500C23×D71C2×D411yescharacteristic
501#11765866—22no—
502#11765866—22no—
503#11765866—42no—
504#11765866—41no—
505#11765866—41no—
506#11765866—44no—
507#11765865—22no—
508#11765865—22no—
509#11765865—22no—
510#11765865—22no—
511#11765865—41no—
512#11765865—41no—
513#11765865—41no—
514#11765865—41no—
515#11765865—44no—
516#11765865—44no—
517#11765864—42no—
518#11765864—42no—
519#11765864—42no—
520C2×Dic142—21no—
521C2×Dic142—21no—
522C2×Dic142C2×D411yescharacteristic
523C2×Dic142C2×D411yescharacteristic
524C2×Dic142C2×D411yescharacteristic
525C2×Dic142C2411yescharacteristic
526Q8×D71—22no—
527Q8×D71—22no—
528Q8×D71—42no—
529Q8×D71—41no—
530Q8×D71—41no—
531Q8×D71—44no—
532C2×D284—21no—
533C2×D284—21no—
534C2×D284—21no—
535C2×D284—21no—
536C2×D284—21no—
537C2×D284—21no—
538C2×D284—21no—
539C2×D284—21no—
540C2×D284—21no—
541C2×D284—41no—
542C2×D284—41no—
543C2×D284C2×D411yescharacteristic
544C2×D284C2×D411yescharacteristic
545C2×D284C2×D411yescharacteristic
546C2×D284C2411yescharacteristic
547C2×D284C2411yescharacteristic
548C2×D284C2411yescharacteristic
549C2×C22⋊D71—21no—
550C2×C22⋊D71—21no—
551C2×C22⋊D71—21no—
552C2×C22⋊D71—21no—
553C2×C22⋊D71—21no—
554C2×C22⋊D71—21no—
555C2×C22⋊D71—21no—
556C2×C22⋊D71—21no—
557C2×C22⋊D71—21no—
558C2×C22⋊D71—21no—
559C2×C22⋊D71—21no—
560C2×C22⋊D71—21no—
561C2×C22⋊D71—21no—
562C2×C22⋊D71—21no—
563C2×C22⋊D71—21no—
564C2×C22⋊D71—44no—
565C2×C22⋊D71C2×D411yescharacteristic
566C2×C22⋊D71C2×D411yescharacteristic
567C2×C22⋊D71C2×D411yescharacteristic
568C2×C22⋊D71C2×D411yescharacteristic
569C2×C22⋊D71C2×D411yescharacteristic
570C2×C22⋊D71C2×D411yescharacteristic
571D4×D71—22no—
572D4×D71—22no—
573D4×D71—22no—
574D4×D71—22no—
575D4×D71—41no—
576D4×D71—41no—
577D4×D71—41no—
578D4×D71—41no—
579D4×D71—42no—
580D4×D71—44no—
581D4×D71—44no—
582D4×D71—42no—
583D4×D71—42no—
584D4×D71—82no—
585D4×D71—82no—
586D4×D71—82no—
587D4×D71—82no—
588C22×Dic71—21no—
589C22×Dic71C2×D411yescharacteristic
590C22×Dic71C2×D411yescharacteristic
591C22×Dic71C2×D411yescharacteristic
592C2×C4×D71—22no—
593C2×C4×D71—22no—
594C2×C4×D71—21no—
595C2×C4×D71—21no—
596C2×C4×D71—21no—
597C2×C4×D71—21no—
598C2×C4×D71—21no—
599C2×C4×D71—21no—
600C2×C4×D71—21no—
601C2×C4×D71—21no—
602C2×C4×D71—21no—
603C2×C4×D71—41no—
604C2×C4×D71—41no—
605C2×C4×D71—41no—
606C2×C4×D71—41no—
607C2×C4×D71C2×D411yescharacteristic
608C2×C4×D71C2×D411yescharacteristic
609C2×C4×D71C2×D411yescharacteristic
610C2×C4×D71C2×D411yescharacteristic
611C2×C4×D71C2×D411yescharacteristic
612C2×C4×D71C2×D411yescharacteristic
613C2×C4×D71C2411yescharacteristic
614C2×C4×D71C2411yescharacteristic
615C2×C4×D71C2411yescharacteristic
616C2×C4×D71C2411yescharacteristic
617#11765854—41no—
618#11765854—41no—
619#11765853—41no—
620#11765853—41no—
621#11765852—41no—
622#11765852—41no—
623#11765852—41no—
624#11765852—41no—
625D568—41no—
626D568—41no—
627#11765850—41no—
628#11765850—41no—
629#11765849—41no—
630#11765848—22no—
631#11765848—22no—
632#11765848—41no—
633#11765848—41no—
634C2×C71⋊C8—41no—
635C2×C71⋊C8C2411yescharacteristic
636C2×C71⋊C8C2411yescharacteristic
637C2×C71⋊C8C2411yescharacteristic
638C2×C71⋊C8C2411yescharacteristic
639C8×D71—22no—
640C8×D71—22no—
641C8×D71—41no—
642C8×D71—41no—
643C4⋊Dic71—21no—
644C4⋊Dic71—21no—
645C4⋊Dic71—21no—
646C4⋊Dic71C2411yescharacteristic
647C4⋊Dic71C2411yescharacteristic
648C4⋊Dic71C2411yescharacteristic
649C4⋊Dic71C2411yescharacteristic
650Dic71⋊C4—21no—
651Dic71⋊C4—21no—
652Dic71⋊C4—21no—
653Dic71⋊C4—21no—
654Dic71⋊C4—21no—
655Dic71⋊C4—21no—
656Dic71⋊C4—21no—
657Dic71⋊C4—21no—
658Dic71⋊C4—21no—
659Dic71⋊C4—21no—
660C22⋊Dic71—21no—
661C22⋊Dic71—21no—
662C22⋊Dic71—21no—
663C22⋊Dic71—21no—
664C22⋊Dic71—21no—
665C22⋊Dic71—21no—
666C22⋊Dic71—21no—
667(C2×D71)⋊C4—21no—
668(C2×D71)⋊C4—21no—
669(C2×D71)⋊C4—21no—
670(C2×D71)⋊C4—21no—
671(C2×D71)⋊C4—21no—
672(C2×D71)⋊C4—21no—
673(C2×D71)⋊C4—21no—
674(C2×D71)⋊C4—21no—
675(C2×D71)⋊C4—21no—
676(C2×D71)⋊C4—21no—
677(C2×D71)⋊C4—21no—
678(C2×D71)⋊C4—21no—
679(C2×D71)⋊C4—21no—
680(C2×D71)⋊C4—21no—
681(C2×D71)⋊C4—21no—
682(C2×D71)⋊C4—21no—
683(C2×D71)⋊C4—21no—
684(C2×D71)⋊C4—21no—
685(C2×D71)⋊C4—21no—
686(C2×D71)⋊C4—21no—
687(C2×D71)⋊C4—21no—
688(C2×D71)⋊C4—21no—
689C4×Dic71—21no—
690C4×Dic71—21no—
691C4×Dic71—21no—
692C4×Dic71—21no—
693C4×Dic71—21no—
694C24×C71—21no—
695#41×C71—41no—
696#41×C71—41no—
697C2×Q8×C71—21no—
698C2×Q8×C71—41no—
699C2×Q8×C71—41no—
700C2×Q8×C71C2×D411yescharacteristic
701C2×Q8×C71C2411yescharacteristic
702C2×Q8×C71C2411yescharacteristic
703C2×D4×C71—21no—
704C2×D4×C71—21no—
705C2×D4×C71—21no—
706C2×D4×C71—21no—
707C2×D4×C71—21no—
708C2×D4×C71—41no—
709C2×D4×C71—41no—
710C2×D4×C71C2×D411yescharacteristic
711C2×D4×C71C2×D411yescharacteristic
712C2×D4×C71C2×D411yescharacteristic
713C2×D4×C71C2411yescharacteristic
714C2×D4×C71C2411yescharacteristic
715C22×C4×C71—21no—
716C22×C4×C71C2411yescharacteristic
717C22×C4×C71C2411yescharacteristic
718C22×C4×C71C2411yescharacteristic
719SD16×C71—41no—
720SD16×C71—41no—
721SD16×C71—41no—
722SD16×C71—41no—
723M16×C71—41no—
724C2×C8×C71—41no—
725C2×C8×C71C2411yescharacteristic
726C2×C8×C71C2411yescharacteristic
727C2×C8×C71C2411yescharacteristic
728C2×C8×C71C2411yescharacteristic
729C4⋊C4×C71—21no—
730C4⋊C4×C71—21no—
731C4⋊C4×C71—21no—
732C4⋊C4×C71—21no—
733C4⋊C4×C71C2411yescharacteristic
734C4⋊C4×C71C2411yescharacteristic
735C4⋊C4×C71C2411yescharacteristic
736C4⋊C4×C71C2411yescharacteristic
737C22⋊C4×C71—21no—
738C22⋊C4×C71—21no—
739C22⋊C4×C71—21no—
740C22⋊C4×C71—21no—
741C22⋊C4×C71—21no—
742C22⋊C4×C71—21no—
743C22⋊C4×C71—21no—
744C22⋊C4×C71—21no—
745C22⋊C4×C71—21no—
746C22⋊C4×C71—21no—
747C42×C71—21no—
748C42×C71—21no—
749C23×C71—21no—
750C23×C71—21no—
751C23×C71—42no—
752C23×C71—81no—
753C23×C71—81no—
754C23×C71C22×D411yescharacteristic
755C23×C71C22×D411yescharacteristic
756C23×C71C22×D411yescharacteristic
757C22×D71—22no—
758C22×D71—22no—
759C22×D71—22no—
760C22×D71—22no—
761C22×D71—21no—
762C22×D71—21no—
763C22×D71—21no—
764C22×D71—41no—
765C22×D71—41no—
766C22×D71—41no—
767C22×D71—41no—
768C22×D71—41no—
769C22×D71—42no—
770C22×D71—42no—
771C22×D71—42no—
772C22×D71—42no—
773C22×D71—42no—
774C22×D71—42no—
775C22×D71—42no—
776C22×D71—42no—
777C22×D71—42no—
778C22×D71—81no—
779C22×D71—81no—
780C22×D71—81no—
781C22×D71—81no—
782C22×D71—81no—
783C22×D71—81no—
784C22×D71—816no—
785C22×D71C22×D411yescharacteristic
786C22×D71C22×D411yescharacteristic
787C22×D71C22×D411yescharacteristic
788C22×D71C22×D411yescharacteristic
789Q8×C71—21no—
790Q8×C71—21no—
791Q8×C71—21no—
792Q8×C71—21no—
793Q8×C71—41no—
794Q8×C71—42no—
795D4×C71—21no—
796D4×C71—21no—
797D4×C71—21no—
798D4×C71—21no—
799D4×C71—41no—
800D4×C71—41no—
801D4×C71—41no—
802D4×C71—42no—
803D4×C71—81no—
804D4×C71—81no—
805D4×C71—81no—
806D4×C71—81no—
807C2×C4×C71—21no—
808C2×C4×C71—21no—
809C2×C4×C71—21no—
810C2×C4×C71—21no—
811C2×C4×C71—21no—
812C2×C4×C71—21no—
813C2×C4×C71—21no—
814C2×C4×C71—21no—
815C2×C4×C71—21no—
816C2×C4×C71—21no—
817C2×C4×C71—21no—
818C2×C4×C71—21no—
819C2×C4×C71—42no—
820C2×C4×C71C22×D411yescharacteristic
821C2×C4×C71C22×D411yescharacteristic
822C2×C4×C71C22×D411yescharacteristic
823C2×C4×C71C2511yescharacteristic
824C22⋊D71—22no—
825C22⋊D71—22no—
826C22⋊D71—22no—
827C22⋊D71—22no—
828C22⋊D71—41no—
829C22⋊D71—41no—
830C22⋊D71—42no—
831C22⋊D71—42no—
832C22⋊D71—42no—
833C22⋊D71—42no—
834C22⋊D71—42no—
835C22⋊D71—81no—
836C22⋊D71—81no—
837C22⋊D71—81no—
838C22⋊D71—81no—
839C22⋊D71—81no—
840C22⋊D71—81no—
841C22⋊D71—81no—
842C22⋊D71—81no—
843C22⋊D71—81no—
844C22⋊D71—81no—
845C2×Dic71—22no—
846C2×Dic71—21no—
847C2×Dic71—21no—
848C2×Dic71—21no—
849C2×Dic71—21no—
850C2×Dic71—21no—
851C2×Dic71—41no—
852C2×Dic71—41no—
853C2×Dic71—81no—
854C2×Dic71C22×D411yescharacteristic
855C2×Dic71C22×D411yescharacteristic
856C2×Dic71C22×D411yescharacteristic
857C2×Dic71C22×D411yescharacteristic
858D284—22no—
859D284—22no—
860D284—21no—
861D284—21no—
862D284—21no—
863D284—21no—
864D284—21no—
865D284—21no—
866D284—41no—
867D284—42no—
868D284—42no—
869D284—42no—
870D284—42no—
871D284—81no—
872D284—81no—
873D284—81no—
874D284—81no—
875D284—81no—
876C4×D71—22no—
877C4×D71—21no—
878C4×D71—21no—
879C4×D71—21no—
880C4×D71—21no—
881C4×D71—21no—
882C4×D71—21no—
883C4×D71—22no—
884C4×D71—41no—
885C4×D71—41no—
886C4×D71—41no—
887C4×D71—41no—
888C4×D71—42no—
889C4×D71—42no—
890C4×D71—42no—
891C4×D71—42no—
892C4×D71—42no—
893C4×D71—42no—
894C4×D71—42no—
895C4×D71—81no—
896C4×D71—81no—
897C4×D71H(5,𝔽2)12yes—
898C4×D71H(5,𝔽2)12yes—
899Dic142—22no—
900Dic142—22no—
901Dic142—21no—
902Dic142—21no—
903Dic142—41no—
904Dic142—42no—
905Dic142—42no—
906C8×C71—21no—
907C8×C71—21no—
908C8×C71—21no—
909C8×C71—21no—
910C71⋊C8—21no—
911C71⋊C8—21no—
912C71⋊C8—21no—
913C71⋊C8—21no—
914C22×C71—21no—
915C22×C71—21no—
916C22×C71—21no—
917C22×C71—21no—
918C22×C71—21no—
919C22×C71—21no—
920C22×C71—21no—
921C22×C71—21no—
922C22×C71—21no—
923C22×C71—41no—
924C22×C71—41no—
925C22×C71—41no—
926C22×C71—41no—
927C22×C71—41no—
928C22×C71—41no—
929C22×C71—84no—
930C22×C71C23×D411yescharacteristic
931C2×D71—21no—
932C2×D71—21no—
933C2×D71—21no—
934C2×D71—21no—
935C2×D71—21no—
936C2×D71—21no—
937C2×D71—21no—
938C2×D71—21no—
939C2×D71—21no—
940C2×D71—21no—
941C2×D71—44no—
942C2×D71—41no—
943C2×D71—41no—
944C2×D71—41no—
945C2×D71—41no—
946C2×D71—41no—
947C2×D71—41no—
948C2×D71—41no—
949C2×D71—41no—
950C2×D71—41no—
951C2×D71—82no—
952C2×D71—82no—
953C2×D71—84no—
954C2×D71—84no—
955C2×D71—84no—
956C2×D71—84no—
957C2×D71—84no—
958C2×D71#53412yes—
959C2×D71#57712yes—
960C4×C71—21no—
961C4×C71—21no—
962C4×C71—21no—
963C4×C71—41no—
964C4×C71—41no—
965C4×C71—41no—
966C4×C71—41no—
967C4×C71—41no—
968C4×C71—41no—
969C4×C71C2×H(5,𝔽2)11yescharacteristic
970C4×C71C2×H(5,𝔽2)11yescharacteristic
971Dic71—21no—
972Dic71—21no—
973Dic71—21no—
974Dic71—41no—
975Dic71—41no—
976Dic71—41no—
977Dic71—41no—
978Dic71—41no—
979Dic71#53412yes—
980#60757—711nomaximal, Sylow
981C2×C71—41no—
982C2×C71—41no—
983C2×C71—41no—
984C2×C71—81no—
985C2×C71—81no—
986C2×C71C2×#53411yescharacteristic
987C2×C71C2×#57711yescharacteristic
988C2×C71#358511yescharacteristic
989D71—22no—
990D71—22no—
991D71—41no—
992D71—41no—
993D71—81no—
994D71—81no—
995D71—81no—
996#3489—711no—
997C2×#535—711no—
998#3200—711no—
999#3200—711no—
1000#3200—711no—
1001#3200D7111yescharacteristic, complemented
1002#3198—711no—
1003#3198—711no—
1004#3198—711no—
1005#3198—711no—
1006#3194—711no—
1007#3194—711no—
1008#3193—711no—
1009#3193—711no—
1010#3188—711no—
1011#3188—711no—
1012#3187—711no—
1013#3187—711no—
1014#3096—711no—
1015#3096—711no—
1016#3095—711no—
1017#3091—711no—
1018#3062—711no—
1019#3062—711no—
1020#3057—711no—
1021#3057—711no—
1022#3010—711no—
1023#3010—711no—
1024#3003—711no—
1025C2×#450—711no—
1026#2880—711no—
1027C71#6075711yescharacteristic, complemented, Sylow
1028C2×2−1+4—711no—
1029C22×#41—711no—
1030C23×D4—711no—
1031C2×AGL(1,ℤ/8)—711no—
1032C2×AGL(1,ℤ/8)—711no—
1033C22×SD16—711no—
1034C22×SD16—711no—
1035C2×#131—711no—
1036C2×#131—711no—
1037D4×Q8—1421no—
1038#548—1421no—
1039#547—1421no—
1040#547—1421no—
1041#547—1421no—
1042#546—1421no—
1043#546—1421no—
1044#546—1421no—
1045#537—711no—
1046#537—711no—
1047#537—711no—
1048#536—711no—
1049#536—711no—
1050#536C2×D7111yescharacteristic, complemented
1051#535—711no—
1052#535—711no—
1053#535—711no—
1054#535—711no—
1055#535—711no—
1056#535—711no—
1057#535—711no—
1058#535—1421no—
1059#535—1421no—
1060#535—1421no—
1061#535—1421no—
1062#535C2×D7111yescharacteristic
1063C2×#127—1421no—
1064C2×#124—1421no—
1065#525—711no—
1066#525—711no—
1067#525—711no—
1068C2×C22⋊Q8—711no—
1069C2×C22⋊Q8—711no—
1070C2×C22⋊Q8—711no—
1071C2×#121—711no—
1072C2×#121—711no—
1073C2×#121—711no—
1074C2×#121—711no—
1075C2×#120—1421no—
1076C2×#120—1421no—
1077#520—711no—
1078C2×#117—711no—
1079#485—711no—
1080#485—711no—
1081#485—711no—
1082#485—711no—
1083#485C2×D7111yescharacteristic, complemented
1084#485C2×D7111yescharacteristic, complemented
1085#484—711no—
1086#484—711no—
1087#484—711no—
1088#483—711no—
1089#483—711no—
1090#483—711no—
1091#482—711no—
1092#482—711no—
1093#482—711no—
1094#482—711no—
1095#482—711no—
1096#482—711no—
1097#482—711no—
1098#482—711no—
1099#482C2×D7111yescharacteristic, complemented
1100#482C2×D7111yescharacteristic, complemented
1101#481—711no—
1102#481—711no—
1103#481—711no—
1104#481—711no—
1105#481—711no—
1106#480—711no—
1107#480—711no—
1108#480—711no—
1109#480—711no—
1110#480—711no—
1111#469—711no—
1112#469—711no—
1113#469—711no—
1114#469—711no—
1115#468—711no—
1116#468—711no—
1117#468—711no—
1118#468—711no—
1119#468—711no—
1120#468—711no—
1121#468—711no—
1122#468—711no—
1123#468—711no—
1124#468—711no—
1125#468C2×D7111yescharacteristic, complemented
1126#468C2×D7111yescharacteristic, complemented
1127#466—711no—
1128#466—711no—
1129#466—711no—
1130#466—711no—
1131#465—711no—
1132#465—711no—
1133#465—711no—
1134#465—711no—
1135#465—711no—
1136#465—711no—
1137#465—711no—
1138#465—711no—
1139#465—711no—
1140#465—711no—
1141#465C2×D7111yescharacteristic, complemented
1142#465C2×D7111yescharacteristic, complemented
1143#450—711no—
1144#450—711no—
1145#450—711no—
1146#450—711no—
1147#450—711no—
1148#450—711no—
1149#450—711no—
1150#450—711no—
1151#450—711no—
1152#450—711no—
1153#450C2×D7111yescharacteristic, complemented
1154#450C2×D7111yescharacteristic, complemented
1155#449—711no—
1156#449—711no—
1157#449—711no—
1158#449—711no—
1159#449—711no—
1160#449—711no—
1161#449—711no—
1162#449—711no—
1163#448—711no—
1164#448—711no—
1165#448—711no—
1166#448—711no—
1167#448—711no—
1168#448—711no—
1169#448C2×D7111yescharacteristic, complemented
1170#448C2×D7111yescharacteristic, complemented
1171#447—711no—
1172#447—711no—
1173#447—711no—
1174#447—711no—
1175#428—711no—
1176#428—711no—
1177#427—711no—
1178#427—711no—
1179#419—711no—
1180#419—711no—
1181#418—711no—
1182#418—711no—
1183#416—711no—
1184#416—711no—
1185C2×#102—711no—
1186C2×#102—711no—
1187#408—711no—
1188#408—711no—
1189#408—711no—
1190#408—711no—
1191#408—711no—
1192#408C2×D7111yescharacteristic, complemented
1193#407—711no—
1194#407—711no—
1195#407—711no—
1196C2×C22⋊C8—711no—
1197C2×C22⋊C8—711no—
1198C2×C22⋊C8—711no—
1199C25—1421no—
12002−1+4—2842no—
12012−1+4—2842no—
1202C2×#41—2842no—
1203C2×#41—2842no—
1204C2×#41—711no—
1205C2×#41—711no—
1206C2×#41—711no—
1207C2×#41—711no—
1208C2×#41—711no—
1209C2×#41—711no—
1210C2×#41—711no—
1211C2×#41—711no—
1212C2×#41—711no—
1213C2×#41—711no—
1214C2×#41—1421no—
1215C2×#41—1421no—
1216C2×#41—1421no—
1217C2×#41C22×D7111yescharacteristic
1218C22×Q8—711no—
1219C22×Q8—711no—
1220C22×Q8—711no—
1221C22×Q8—1421no—
1222C22×Q8C22×D7111yescharacteristic, complemented
1223C22×D4—2842no—
1224C22×D4—2842no—
1225C22×D4—711no—
1226C22×D4—711no—
1227C22×D4—711no—
1228C22×D4—711no—
1229C22×D4—711no—
1230C22×D4—711no—
1231C22×D4—711no—
1232C22×D4—711no—
1233C22×D4—1421no—
1234C22×D4—1421no—
1235C22×D4—1421no—
1236C22×D4—1421no—
1237C22×D4—1421no—
1238C22×D4—1421no—
1239C22×D4—1421no—
1240C22×D4C22×D7111yescharacteristic
1241C23×C4—711no—
1242C23×C4—711no—
1243C23×C4—711no—
1244AGL(1,ℤ/8)—2842no—
1245AGL(1,ℤ/8)—2842no—
1246C2×SD16—2842no—
1247C2×SD16—2842no—
1248C2×SD16—711no—
1249C2×SD16—711no—
1250C2×SD16—711no—
1251C2×SD16—711no—
1252C2×SD16—711no—
1253C2×SD16—711no—
1254C2×SD16—711no—
1255C2×SD16—711no—
1256C2×SD16C22×D7111yescharacteristic
1257C2×SD16C22×D7111yescharacteristic
1258C2×SD16C22×D7111yescharacteristic
1259C2×SD16C22×D7111yescharacteristic
1260C2×D8—711no—
1261C2×D8—711no—
1262C2×D8—711no—
1263C2×D8—711no—
1264#131—2842no—
1265#131—2842no—
1266C2×M16—711no—
1267C2×M16—711no—
1268C2×M16—711no—
1269C2×M16—711no—
1270C2×M16—711no—
1271C2×M16C22×D7111yescharacteristic, complemented
1272C22×C8—711no—
1273C22×C8—711no—
1274C22×C8—711no—
1275C22×C8—711no—
1276C22×C8—711no—
1277C22×C8C22×D7111yescharacteristic, complemented
1278C4⋊Q8—21no—
1279C4⋊Q8—1421no—
1280C4⋊Q8—1421no—
1281#127—21no—
1282#127—1421no—
1283#127—1421no—
1284#127—1421no—
1285#127—1421no—
1286#127—1421no—
1287#127—1421no—
1288#127—1421no—
1289#124—21no—
1290#124—21no—
1291#124—1421no—
1292#124—1421no—
1293#124—1421no—
1294#124—1421no—
1295#124—1421no—
1296#124—1421no—
1297#124—1421no—
1298#124—1421no—
1299#124—1421no—
1300#123—21no—
1301#123—21no—
1302#123—1421no—
1303#123—1421no—
1304#123—1421no—
1305#123—1421no—
1306#123—1421no—
1307#123—1421no—
1308#123—1421no—
1309C22⋊Q8—711no—
1310C22⋊Q8—711no—
1311C22⋊Q8—711no—
1312C22⋊Q8—711no—
1313C22⋊Q8—711no—
1314C22⋊Q8—711no—
1315C22⋊Q8—711no—
1316C22⋊Q8—711no—
1317C22⋊Q8—1421no—
1318C22⋊Q8—1421no—
1319C22⋊Q8—1421no—
1320C22⋊Q8—1421no—
1321C22⋊Q8—1421no—
1322C22⋊Q8—1421no—
1323C22⋊Q8—1421no—
1324C22⋊Q8—1421no—
1325C22⋊Q8—1421no—
1326C22⋊Q8C22×D7111yescharacteristic
1327C22⋊Q8C22×D7111yescharacteristic
1328C22⋊Q8C22×D7111yescharacteristic, complemented
1329C22⋊Q8C22×D7111yescharacteristic, complemented
1330#121—711no—
1331#121—711no—
1332#121—711no—
1333#121—711no—
1334#121—711no—
1335#121—711no—
1336#121—711no—
1337#121—711no—
1338#121—711no—
1339#121—711no—
1340#121—711no—
1341#121—711no—
1342#121—711no—
1343#121—711no—
1344#121—711no—
1345#121—711no—
1346#121—1421no—
1347#121—1421no—
1348#121—1421no—
1349#121—1421no—
1350#121—1421no—
1351#121—1421no—
1352#121—1421no—
1353#121—1421no—
1354#121—1421no—
1355#121—1421no—
1356#121—1421no—
1357#121—1421no—
1358#121—1421no—
1359#121—1421no—
1360#121—1421no—
1361#121—1421no—
1362#121—1421no—
1363#121C22×D7111yescharacteristic
1364#121C22×D7111yescharacteristic
1365#121C22×D7111yescharacteristic
1366#121C22×D7111yescharacteristic
1367#120—21no—
1368#120—21no—
1369#120—1421no—
1370#120—1421no—
1371#120—1421no—
1372#120—1421no—
1373#120—1421no—
1374#120—1421no—
1375#120—1421no—
1376#120—1421no—
1377#120—1421no—
1378#120—1421no—
1379#120—1421no—
1380#120—1421no—
1381#120—1421no—
1382#120—1421no—
1383#120—1421no—
1384#120—1421no—
1385#120—1421no—
1386C4×Q8—1421no—
1387C4×D4—1421no—
1388C4×D4—1421no—
1389C4×D4—1421no—
1390C4×D4—1421no—
1391C4×D4—1421no—
1392C4×D4—1421no—
1393C4×D4—1421no—
1394C4×D4—1421no—
1395C4×D4—1421no—
1396#117—711no—
1397#117—711no—
1398#117—711no—
1399#117—711no—
1400#117—711no—
1401#117—1421no—
1402#117—1421no—
1403#117C22×D7111yescharacteristic
1404#117C22×D7111yescharacteristic, complemented
1405C2×C4⋊C4—711no—
1406C2×C4⋊C4—711no—
1407C2×C4⋊C4—711no—
1408C2×C4⋊C4—711no—
1409C2×C4⋊C4—711no—
1410C2×C4⋊C4—1421no—
1411C2×C4⋊C4—1421no—
1412C2×C4⋊C4—1421no—
1413C2×C22⋊C4—1421no—
1414C2×C22⋊C4—1421no—
1415C2×C22⋊C4—1421no—
1416C2×C22⋊C4—1421no—
1417C2×C22⋊C4—1421no—
1418C2×C22⋊C4—1421no—
1419C2×C22⋊C4—1421no—
1420C2×C22⋊C4—1421no—
1421C2×C42—1421no—
1422#107—711no—
1423#107—711no—
1424#107—711no—
1425#107—711no—
1426#107—711no—
1427#107—711no—
1428#107C22×D7111yescharacteristic, complemented
1429#107C22×D7111yescharacteristic, complemented
1430#106—711no—
1431#106—711no—
1432#106—711no—
1433#106—711no—
1434#106—711no—
1435#106—711no—
1436#106C22×D7111yescharacteristic, complemented
1437#106C22×D7111yescharacteristic, complemented
1438#103—711no—
1439#103—711no—
1440#103—711no—
1441#103—711no—
1442#103—711no—
1443#103—711no—
1444#103—711no—
1445#103—711no—
1446#103C22×D7111yescharacteristic, complemented
1447#103C22×D7111yescharacteristic, complemented
1448#103C22×D7111yescharacteristic, complemented
1449#103C22×D7111yescharacteristic, complemented
1450#102—711no—
1451#102—711no—
1452#102—711no—
1453#102—711no—
1454#102—711no—
1455#102—711no—
1456#102—711no—
1457#102—711no—
1458#102—711no—
1459#102—711no—
1460#102—711no—
1461#102—711no—
1462#102—711no—
1463#102—711no—
1464#102—711no—
1465#102—711no—
1466#102C22×D7111yescharacteristic
1467#102C22×D7111yescharacteristic
1468#102C22×D7111yescharacteristic
1469#102C22×D7111yescharacteristic
1470C22⋊C8—711no—
1471C22⋊C8—711no—
1472C22⋊C8—711no—
1473C22⋊C8—711no—
1474C22⋊C8—711no—
1475C22⋊C8—711no—
1476C22⋊C8—711no—
1477C22⋊C8—711no—
1478C22⋊C8—711no—
1479C22⋊C8—711no—
1480C22⋊C8—711no—
1481C22⋊C8—711no—
1482C22⋊C8C22×D7111yescharacteristic
1483C22⋊C8C22×D7111yescharacteristic
1484C22⋊C8C22×D7111yescharacteristic, complemented
1485C22⋊C8C22×D7111yescharacteristic, complemented
1486C24—21no—
1487C24—2844no—
1488C24—5682no—
1489C24—5682no—
1490C24—711no—
1491C24—711no—
1492C24—711no—
1493C24—1421no—
1494C24—1421no—
1495C24—1421no—
1496C24—1421no—
1497C24—1421no—
1498#41—41no—
1499#41—41no—
1500#41—2841no—
1501#41—2841no—
1502#41—2841no—
1503#41—2841no—
1504#41—2844no—
1505#41—2844no—
1506#41—2844no—
1507#41—2842no—
1508#41—2842no—
1509#41—2842no—
1510#41—2841no—
1511#41—2841no—
1512#41—2842no—
1513#41—1422no—
1514#41—1422no—
1515#41—1422no—
1516#41—1422no—
1517#41—1422no—
1518#41—1422no—
1519C2×Q8—21no—
1520C2×Q8—41no—
1521C2×Q8—41no—
1522C2×Q8—2844no—
1523C2×Q8—2841no—
1524C2×Q8—2841no—
1525C2×Q8—2842no—
1526C2×Q8—711no—
1527C2×Q8—711no—
1528C2×Q8—711no—
1529C2×Q8—711no—
1530C2×Q8—1421no—
1531C2×Q8—1421no—
1532C2×Q8—1422no—
1533C2×Q8—1422no—
1534C2×Q8D4×D7111yescharacteristic
1535C2×Q8C23×D7111yescharacteristic
1536C2×Q8C23×D7111yescharacteristic
1537C2×D4—21no—
1538C2×D4—21no—
1539C2×D4—21no—
1540C2×D4—21no—
1541C2×D4—21no—
1542C2×D4—41no—
1543C2×D4—41no—
1544C2×D4—2841no—
1545C2×D4—2841no—
1546C2×D4—2842no—
1547C2×D4—2842no—
1548C2×D4—2841no—
1549C2×D4—2841no—
1550C2×D4—2841no—
1551C2×D4—2841no—
1552C2×D4—2844no—
1553C2×D4—2844no—
1554C2×D4—2842no—
1555C2×D4—2844no—
1556C2×D4—5682no—
1557C2×D4—5682no—
1558C2×D4—5682no—
1559C2×D4—5682no—
1560C2×D4—711no—
1561C2×D4—711no—
1562C2×D4—711no—
1563C2×D4—711no—
1564C2×D4—711no—
1565C2×D4—711no—
1566C2×D4—711no—
1567C2×D4—711no—
1568C2×D4—711no—
1569C2×D4—711no—
1570C2×D4—711no—
1571C2×D4—711no—
1572C2×D4—1421no—
1573C2×D4—1421no—
1574C2×D4—1421no—
1575C2×D4—1421no—
1576C2×D4—1421no—
1577C2×D4—1421no—
1578C2×D4—1421no—
1579C2×D4—1421no—
1580C2×D4—1422no—
1581C2×D4—1422no—
1582C2×D4—1422no—
1583C2×D4—1422no—
1584C2×D4—1421no—
1585C2×D4—1421no—
1586C2×D4—1421no—
1587C2×D4—1421no—
1588C2×D4—1421no—
1589C2×D4—1421no—
1590C2×D4—1421no—
1591C2×D4—1421no—
1592C2×D4—1421no—
1593C2×D4—1421no—
1594C2×D4—1421no—
1595C2×D4—1421no—
1596C2×D4—1421no—
1597C2×D4—1421no—
1598C2×D4—1421no—
1599C2×D4—1421no—
1600C2×D4D4×D7111yescharacteristic
1601C2×D4D4×D7111yescharacteristic
1602C2×D4D4×D7111yescharacteristic
1603C2×D4C23×D7111yescharacteristic
1604C2×D4C23×D7111yescharacteristic
1605C22×C4—21no—
1606C22×C4—2841no—
1607C22×C4—2841no—
1608C22×C4—2841no—
1609C22×C4—2841no—
1610C22×C4—711no—
1611C22×C4—711no—
1612C22×C4—711no—
1613C22×C4—711no—
1614C22×C4—711no—
1615C22×C4—711no—
1616C22×C4—711no—
1617C22×C4—711no—
1618C22×C4—711no—
1619C22×C4—711no—
1620C22×C4—711no—
1621C22×C4—711no—
1622C22×C4—711no—
1623C22×C4—1421no—
1624C22×C4—1421no—
1625C22×C4—1421no—
1626C22×C4—1421no—
1627C22×C4—1421no—
1628C22×C4—1421no—
1629C22×C4—1421no—
1630C22×C4—1421no—
1631C22×C4—1422no—
1632C22×C4—1422no—
1633C22×C4—1421no—
1634C22×C4—1421no—
1635C22×C4C23×D7111yescharacteristic
1636C22×C4C23×D7111yescharacteristic
1637C22×C4C23×D7111yescharacteristic
1638SD16—41no—
1639SD16—41no—
1640SD16—41no—
1641SD16—41no—
1642SD16—2841no—
1643SD16—2841no—
1644SD16—2841no—
1645SD16—2841no—
1646SD16—2841no—
1647SD16—2841no—
1648SD16—2841no—
1649SD16—2841no—
1650D8—2841no—
1651D8—2841no—
1652D8—2841no—
1653D8—2841no—
1654M16—41no—
1655M16—2841no—
1656M16—2841no—
1657M16—2841no—
1658M16—1422no—
1659M16—1422no—
1660C2×C8—41no—
1661C2×C8—2841no—
1662C2×C8—2841no—
1663C2×C8—2841no—
1664C2×C8—711no—
1665C2×C8—711no—
1666C2×C8—711no—
1667C2×C8—711no—
1668C2×C8—1422no—
1669C2×C8—1422no—
1670C2×C8C23×D7111yescharacteristic
1671C2×C8C23×D7111yescharacteristic
1672C2×C8C23×D7111yescharacteristic
1673C2×C8C23×D7111yescharacteristic
1674C4⋊C4—21no—
1675C4⋊C4—21no—
1676C4⋊C4—21no—
1677C4⋊C4—21no—
1678C4⋊C4—711no—
1679C4⋊C4—711no—
1680C4⋊C4—711no—
1681C4⋊C4—711no—
1682C4⋊C4—1421no—
1683C4⋊C4—1421no—
1684C4⋊C4—1421no—
1685C4⋊C4—1421no—
1686C4⋊C4—1421no—
1687C4⋊C4—1421no—
1688C4⋊C4—1421no—
1689C4⋊C4—1421no—
1690C4⋊C4—1421no—
1691C4⋊C4—1421no—
1692C4⋊C4—1421no—
1693C4⋊C4—1421no—
1694C4⋊C4—1421no—
1695C4⋊C4C23×D7111yescharacteristic
1696C4⋊C4C23×D7111yescharacteristic
1697C4⋊C4C23×D7111yescharacteristic
1698C4⋊C4C23×D7111yescharacteristic
1699C22⋊C4—21no—
1700C22⋊C4—21no—
1701C22⋊C4—21no—
1702C22⋊C4—21no—
1703C22⋊C4—21no—
1704C22⋊C4—21no—
1705C22⋊C4—21no—
1706C22⋊C4—21no—
1707C22⋊C4—21no—
1708C22⋊C4—21no—
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⋊C4—1421no—
1720C22⋊C4—1421no—
1721C22⋊C4—1421no—
1722C22⋊C4—1421no—
1723C22⋊C4—1421no—
1724C22⋊C4—1421no—
1725C22⋊C4—1421no—
1726C22⋊C4—1421no—
1727C22⋊C4—1421no—
1728C22⋊C4—1421no—
1729C22⋊C4—1421no—
1730C22⋊C4—1421no—
1731C22⋊C4—1421no—
1732C22⋊C4—1421no—
1733C22⋊C4—1421no—
1734C22⋊C4—1421no—
1735C22⋊C4—1421no—
1736C22⋊C4—1421no—
1737C22⋊C4—1421no—
1738C42—21no—
1739C42—21no—
1740C42—1421no—
1741C42—1421no—
1742C42—1421no—
1743C42—1421no—
1744C42—1421no—
1745C23—21no—
1746C23—21no—
1747C23—42no—
1748C23—81no—
1749C23—81no—
1750C23—2841no—
1751C23—2842no—
1752C23—2841no—
1753C23—2841no—
1754C23—2841no—
1755C23—2841no—
1756C23—2842no—
1757C23—2842no—
1758C23—2842no—
1759C23—2842no—
1760C23—2842no—
1761C23—2842no—
1762C23—2842no—
1763C23—2842no—
1764C23—5681no—
1765C23—5681no—
1766C23—5681no—
1767C23—5681no—
1768C23—5681no—
1769C23—5681no—
1770C23—56816no—
1771C23—711no—
1772C23—711no—
1773C23—711no—
1774C23—711no—
1775C23—1422no—
1776C23—1422no—
1777C23—1422no—
1778C23—1422no—
1779C23—1421no—
1780C23—1421no—
1781C23—1421no—
1782C23C2×D4×D7111yescharacteristic
1783C23C2×D4×D7111yescharacteristic
1784C23C2×D4×D7111yescharacteristic
1785Q8—21no—
1786Q8—21no—
1787Q8—21no—
1788Q8—21no—
1789Q8—41no—
1790Q8—42no—
1791Q8—2841no—
1792Q8—2842no—
1793Q8—2842no—
1794Q8—1422no—
1795Q8—1422no—
1796Q8—1421no—
1797Q8—1421no—
1798D4—21no—
1799D4—21no—
1800D4—21no—
1801D4—21no—
1802D4—41no—
1803D4—41no—
1804D4—41no—
1805D4—42no—
1806D4—81no—
1807D4—81no—
1808D4—81no—
1809D4—81no—
1810D4—2842no—
1811D4—2841no—
1812D4—2842no—
1813D4—2842no—
1814D4—2842no—
1815D4—2842no—
1816D4—2842no—
1817D4—2842no—
1818D4—2841no—
1819D4—2841no—
1820D4—2842no—
1821D4—2842no—
1822D4—5681no—
1823D4—5681no—
1824D4—5681no—
1825D4—5681no—
1826D4—5681no—
1827D4—5681no—
1828D4—5681no—
1829D4—5681no—
1830D4—5681no—
1831D4—5681no—
1832D4—5681no—
1833D4—5681no—
1834D4—5681no—
1835D4—5681no—
1836D4—5681no—
1837D4—1422no—
1838D4—1422no—
1839D4—1422no—
1840D4—1422no—
1841D4—1422no—
1842D4—1422no—
1843D4—1421no—
1844D4—1421no—
1845D4—1421no—
1846D4—1421no—
1847D4—1421no—
1848D4—1421no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—21no—
1860C2×C4—21no—
1861C2×C4—42no—
1862C2×C4—2842no—
1863C2×C4—2841no—
1864C2×C4—2841no—
1865C2×C4—2841no—
1866C2×C4—2841no—
1867C2×C4—2842no—
1868C2×C4—2842no—
1869C2×C4—2842no—
1870C2×C4—2842no—
1871C2×C4—2842no—
1872C2×C4—2842no—
1873C2×C4—2841no—
1874C2×C4—2841no—
1875C2×C4—5681no—
1876C2×C4—5681no—
1877C2×C4—5681no—
1878C2×C4—711no—
1879C2×C4—712no—
1880C2×C4—712no—
1881C2×C4—711no—
1882C2×C4—711no—
1883C2×C4—711no—
1884C2×C4—1422no—
1885C2×C4—1422no—
1886C2×C4—1421no—
1887C2×C4—1421no—
1888C2×C4—1421no—
1889C2×C4—1421no—
1890C2×C4—1421no—
1891C2×C4—1422no—
1892C2×C4—1421no—
1893C2×C4—1421no—
1894C2×C4—1421no—
1895C2×C4—1421no—
1896C2×C4—1421no—
1897C2×C4—1421no—
1898C2×C4C2×D4×D7111yescharacteristic
1899C2×C4C2×D4×D7111yescharacteristic
1900C2×C4C2×D4×D7111yescharacteristic
1901C2×C4C24×D7111yescharacteristic
1902C8—21no—
1903C8—21no—
1904C8—21no—
1905C8—21no—
1906C8—1421no—
1907C8—1421no—
1908C8—1421no—
1909C8—1421no—
1910C22—21no—
1911C22—21no—
1912C22—21no—
1913C22—21no—
1914C22—21no—
1915C22—21no—
1916C22—21no—
1917C22—21no—
1918C22—21no—
1919C22—41no—
1920C22—41no—
1921C22—41no—
1922C22—41no—
1923C22—41no—
1924C22—41no—
1925C22—84no—
1926C22—2844no—
1927C22—2841no—
1928C22—2841no—
1929C22—2841no—
1930C22—2841no—
1931C22—2841no—
1932C22—2841no—
1933C22—2841no—
1934C22—2841no—
1935C22—2841no—
1936C22—5682no—
1937C22—5682no—
1938C22—5684no—
1939C22—5684no—
1940C22—5684no—
1941C22—5684no—
1942C22—5684no—
1943C22—712no—
1944C22—712no—
1945C22—1421no—
1946C22—1421no—
1947C22—1421no—
1948C22—1421no—
1949C22—1421no—
1950C22—1421no—
1951C22—1421no—
1952C22—1421no—
1953C22—1421no—
1954C22—1421no—
1955C22C22×D4×D7111yescharacteristic
1956C4—21no—
1957C4—21no—
1958C4—21no—
1959C4—41no—
1960C4—41no—
1961C4—41no—
1962C4—41no—
1963C4—41no—
1964C4—41no—
1965C4—2841no—
1966C4—2841no—
1967C4—2841no—
1968C4—2841no—
1969C4—2841no—
1970C4—712no—
1971C4—1421no—
1972C4—1421no—
1973C4—1421no—
1974C4H(5,𝔽2)×D7111yescharacteristic
1975C4H(5,𝔽2)×D7111yescharacteristic
1976C2—41no—
1977C2—41no—
1978C2—41no—
1979C2—81no—
1980C2—81no—
1981C2—2841no—
1982C2—2841no—
1983C2—5681no—
1984C2—5681no—
1985C2—5681no—
1986C2—1422no—
1987C2—1422no—
1988C2#534×D7111yescharacteristic
1989C2#577×D7111yescharacteristic
1990C2#2260311811yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3200C2
socleC22×C71C23×D4
hypercenter#3200D71
hypocenterC71#60757
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3200

Complements

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

NH ≅ G/Ntype
1. #22602018C2semidirect
2. #535×D71C2semidirect
3. #22599211C2semidirect
4. #22599209C2semidirect
5. #22599207C2semidirect
6. #22599198C2semidirect
7. #22599196C2semidirect
8. #22599194C2semidirect
9. #22599192C2semidirect
10. #22599158C2semidirect
11. #22599155C2semidirect
12. #22599144C2semidirect
13. #22599141C2semidirect
14. #22599109C2semidirect
15. #22599106C2semidirect
16. #22599095C2semidirect
17. #22599092C2semidirect
18. #22598295C2semidirect
19. #22598293C2semidirect
20. #22598287C2semidirect
21. #22598258C2semidirect
22. #22598015C2semidirect
23. #22598013C2semidirect
24. #22597977C2semidirect
25. #22597974C2semidirect
26. #22597621C2semidirect
27. #22597621C2semidirect
28. #22597568C2semidirect
29. #450×D71C2semidirect
30. #22596788C2semidirect
31. C71×#3200C2semidirect
32. C2×#14556176C22semidirect
35. C2×#14556155C22semidirect
36. C2×#14556155C22semidirect
37. C2×SD16×D71C22semidirect
38. C2×SD16×D71C22semidirect
39. C2×#14556136C22semidirect
40. C2×#14556134C22semidirect
49. #17986579C22semidirect
50. #17986579C22semidirect
51. #17986577C22semidirect
52. #17986572C22semidirect
53. #17986572C22semidirect
68. #17986512C22semidirect
69. #17986511C22semidirect
70. C2×#14556104C22semidirect
72. C22⋊Q8×D71C22semidirect
79. #17986479C22semidirect
81. #17986341C22semidirect
82. #17986340C22semidirect
83. #17986337C22semidirect
84. #17986337C22semidirect
85. #17986336C22semidirect
86. #17986333C22semidirect
87. #17986333C22semidirect
88. #17986331C22semidirect
89. #17986328C22semidirect
90. #17986328C22semidirect
91. #17986326C22semidirect
92. #17986325C22semidirect
93. #17986324C22semidirect
94. #17986323C22semidirect
95. #17986323C22semidirect
96. #17986323C22semidirect
97. #17986322C22semidirect
98. #17986321C22semidirect
99. #17986319C22semidirect
100. #17986319C22semidirect
101. #17986318C22semidirect
102. #17986316C22semidirect
103. #17986315C22semidirect
104. #17986314C22semidirect
105. #17986314C22semidirect
106. #17986313C22semidirect
107. #17986311C22semidirect
108. #17986310C22semidirect
109. #17986253C22semidirect
110. #17986252C22semidirect
111. #17986251C22semidirect
112. #17986250C22semidirect
113. #17986248C22semidirect
114. #17986248C22semidirect
115. #17986247C22semidirect
116. #17986247C22semidirect
117. #17986246C22semidirect
118. #17986245C22semidirect
119. #17986244C22semidirect
120. #17986243C22semidirect
121. #17986242C22semidirect
122. #17986242C22semidirect
123. #17986236C22semidirect
124. #17986235C22semidirect
125. #17986234C22semidirect
126. #17986233C22semidirect
127. #17986231C22semidirect
128. #17986231C22semidirect
129. #17986230C22semidirect
130. #17986230C22semidirect
131. #17986229C22semidirect
132. #17986228C22semidirect
133. #17986227C22semidirect
134. #17986226C22semidirect
135. #17986225C22semidirect
136. #17986225C22semidirect
137. #17986152C22semidirect
140. #17986150C22semidirect
141. #17986149C22semidirect
142. #17986149C22semidirect
147. #17986147C22semidirect
148. #17986147C22semidirect
149. #17986146C22semidirect
150. #17986146C22semidirect
151. #17986143C22semidirect
152. #17986143C22semidirect
153. #17986142C22semidirect
154. #17986142C22semidirect
155. #17986139C22semidirect
156. #17986139C22semidirect
157. #17986138C22semidirect
158. #17986138C22semidirect
159. #17986136C22semidirect
160. #17986136C22semidirect
161. #17986135C22semidirect
164. #17986133C22semidirect
165. #17986040C22semidirect
166. #17986038C22semidirect
167. #17986036C22semidirect
168. #17986034C22semidirect
169. #17986006C22semidirect
170. #17986006C22semidirect
171. #17986002C22semidirect
172. #17986002C22semidirect
173. #17985994C22semidirect
174. #17985994C22semidirect
175. #102×D71C22semidirect
176. #102×D71C22semidirect
177. #17985966C22semidirect
178. #17985964C22semidirect
179. #17985964C22semidirect
180. #17985964C22semidirect
181. #17985964C22semidirect
182. #17985962C22semidirect
184. #17985961C22semidirect
185. C2×(C2×D71)⋊C8C22semidirect
187. C22⋊C8×D71C22semidirect
188. #536×C71C22semidirect
190. #485×C71C22semidirect
191. #485×C71C22semidirect
192. #482×C71C22semidirect
193. #482×C71C22semidirect
194. #468×C71C22semidirect
195. #468×C71C22semidirect
196. #465×C71C22semidirect
197. #465×C71C22semidirect
198. #450×C71C22semidirect
199. #450×C71C22semidirect
200. #448×C71C22semidirect
201. #448×C71C22semidirect
202. #408×C71C22semidirect
209. C2×#11765866C23semidirect
215. C2×#11765865C23semidirect
224. C2×Q8×D71C23semidirect
263. C2×#11765849C23semidirect
266. C2×#11765848C23semidirect
267. C2×#11765848C23semidirect
268. C22×C71⋊C8C23semidirect
271. C2×C8×D71C23semidirect
272. C2×C8×D71C23semidirect
299. #14556108C23semidirect
301. #14556107C23semidirect
313. #14556104C23semidirect
314. #14556104C23semidirect
322. #14556103C23semidirect
328. #14556102C23semidirect
379. #14556086C23semidirect
382. C2×C4⋊Dic71C23semidirect
389. C4⋊C4×D71C23semidirect
399. #14556062C23semidirect
400. #14556062C23semidirect
401. #14556061C23semidirect
402. #14556061C23semidirect
403. #14556061C23semidirect
404. #14556061C23semidirect
405. #14556060C23semidirect
406. #14556060C23semidirect
407. #14556059C23semidirect
408. #14556059C23semidirect
409. #14556059C23semidirect
410. #14556059C23semidirect
411. #14556053C23semidirect
412. #14556053C23semidirect
413. #14556052C23semidirect
414. #14556052C23semidirect
415. #14556052C23semidirect
416. #14556052C23semidirect
417. #14556051C23semidirect
418. #14556051C23semidirect
423. #14556050C23semidirect
424. #14556050C23semidirect
433. #14556048C23semidirect
434. #14556048C23semidirect
437. C22⋊(C71⋊C8)C23semidirect
438. C22⋊(C71⋊C8)C23semidirect
443. (C2×D71)⋊C8C23semidirect
444. (C2×D71)⋊C8C23semidirect
445. (C2×D71)⋊C8C23semidirect
446. (C2×D71)⋊C8C23semidirect
448. C22×Q8×C71C23semidirect
454. C2×M16×C71C23semidirect
455. C22×C8×C71C23semidirect
464. C22⋊Q8×C71C23semidirect
465. C22⋊Q8×C71C23semidirect
473. #117×C71C23semidirect
474. #107×C71C23semidirect
475. #107×C71C23semidirect
476. #106×C71C23semidirect
477. #106×C71C23semidirect
478. #103×C71C23semidirect
479. #103×C71C23semidirect
480. #103×C71C23semidirect
481. #103×C71C23semidirect
488. C22⋊C8×C71C23semidirect
489. C22⋊C8×C71C23semidirect
1001. #3200D71semidirect
1027. C71#60757semidirect
1050. #536C2×D71semidirect
1083. #485C2×D71semidirect
1084. #485C2×D71semidirect
1099. #482C2×D71semidirect
1100. #482C2×D71semidirect
1125. #468C2×D71semidirect
1126. #468C2×D71semidirect
1141. #465C2×D71semidirect
1142. #465C2×D71semidirect
1153. #450C2×D71semidirect
1154. #450C2×D71semidirect
1169. #448C2×D71semidirect
1170. #448C2×D71semidirect
1192. #408C2×D71semidirect
1222. C22×Q8C22×D71semidirect
1271. C2×M16C22×D71semidirect
1277. C22×C8C22×D71semidirect
1328. C22⋊Q8C22×D71semidirect
1329. C22⋊Q8C22×D71semidirect
1404. #117C22×D71semidirect
1428. #107C22×D71semidirect
1429. #107C22×D71semidirect
1436. #106C22×D71semidirect
1437. #106C22×D71semidirect
1446. #103C22×D71semidirect
1447. #103C22×D71semidirect
1448. #103C22×D71semidirect
1449. #103C22×D71semidirect
1484. C22⋊C8C22×D71semidirect
1485. C22⋊C8C22×D71semidirect

Maximal subgroups

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

subgroupindex
#226020182
#535×D712
#225992112
#225992092
#225992072
#225991982
#225991962
#225991942
#225991922
#225991582
#225991552
#225991442
#225991412
#225991092
#225991062
#225990952
#225990922
#225982952
#225982932
#225982872
#225982582
#225980152
#225980132
#225979772
#225979742
#225976212
#225975682
#450×D712
#225967882
C71×#32002
#6075771