Finite Group Databasebeta

← #3198×D71 #32868097

Subgroups — #3198×D71 #32868097

Order 18176.

2378 conjugacy classes of subgroups.

The subgroup lattice has 2024 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#537×D71C211yesmaximal, characteristic, complemented
2#535×D71C211yesmaximal, characteristic, complemented
3#22599199C211yesmaximal, characteristic, complemented
4#22599198C211yesmaximal, characteristic, complemented
5#22599197C211yesmaximal, characteristic, complemented
6#22599196C211yesmaximal, characteristic, complemented
7#22599195C211yesmaximal, characteristic, complemented
8#22599194C211yesmaximal, characteristic, complemented
9#22599193C211yesmaximal, characteristic, complemented
10#22599192C211yesmaximal, characteristic, complemented
11#22599191C211yesmaximal, characteristic, complemented
12#22599190C211yesmaximal, characteristic, complemented
13#22599189C211yesmaximal, characteristic, complemented
14#22599188C211yesmaximal, characteristic, complemented
15#22599187C211yesmaximal, characteristic, complemented
16#22599186C211yesmaximal, characteristic, complemented
17#22599185C211yesmaximal, characteristic, complemented
18#481×D71C211yesmaximal, characteristic, complemented
19#485×D71C211yesmaximal, characteristic, complemented
20#482×D71C211yesmaximal, characteristic, complemented
21#480×D71C211yesmaximal, characteristic, complemented
22#469×D71C211yesmaximal, characteristic, complemented
23#468×D71C211yesmaximal, characteristic, complemented
24#466×D71C211yesmaximal, characteristic, complemented
25#465×D71C211yesmaximal, characteristic, complemented
26#449×D71C211yesmaximal, characteristic, complemented
27#449×D71C211yesmaximal, characteristic, complemented
28#450×D71C211yesmaximal, characteristic, complemented
29#447×D71C211yesmaximal, characteristic, complemented
30#408×D71C211yesmaximal, characteristic, complemented
31C71×#3198C211yesmaximal, characteristic, complemented
32C2×#41×D71C2211yescharacteristic
33C2×#41×D71C2211yescharacteristic, complemented
34C22×D4×D71C2211yescharacteristic
35C2×SD16×D71C2211yescharacteristic
36C2×SD16×D71C2211yescharacteristic
37C2×D8×D71C2211yescharacteristic
38C2×D8×D71C2211yescharacteristic
39C2×M16×D71C2211yescharacteristic, complemented
40C22×C8×D71C2211yescharacteristic, complemented
41#17986580C2211yescharacteristic, complemented
42#17986579—21no—
43#17986579C2211yescharacteristic, complemented
44#17986579C2211yescharacteristic, complemented
45#17986578—21no—
46#17986578C2211yescharacteristic, complemented
47#17986578C2211yescharacteristic, complemented
48#17986577C2211yescharacteristic, complemented
49#17986577C2211yescharacteristic, complemented
50#17986576—21no—
51#17986576—21no—
52#17986568C2211yescharacteristic, complemented
53#17986567—21no—
54#17986566C2211yescharacteristic, complemented
55#17986565C2211yescharacteristic, complemented
56#17986565C2211yescharacteristic, complemented
57#17986565C2211yescharacteristic, complemented
58#17986565C2211yescharacteristic, complemented
59#17986564—21no—
60#17986564—21no—
61#17986563C2211yescharacteristic, complemented
62#17986562—21no—
63#127×D71—21no—
64#124×D71—21no—
65C22⋊Q8×D71—21no—
66C22⋊Q8×D71C2211yescharacteristic
67C22⋊Q8×D71C2211yescharacteristic, complemented
68#121×D71—21no—
69#121×D71—21no—
70#121×D71—21no—
71#121×D71C2211yescharacteristic
72#121×D71C2211yescharacteristic
73#121×D71C2211yescharacteristic
74#121×D71C2211yescharacteristic
75#121×D71C2211yescharacteristic
76#121×D71C2211yescharacteristic, complemented
77#120×D71—21no—
78#120×D71—21no—
79#117×D71C2211yescharacteristic
80C2×C4⋊C4×D71C2211yescharacteristic, complemented
81#17986343C2211yescharacteristic, complemented
82#17986342C2211yescharacteristic, complemented
83#17986341C2211yescharacteristic, complemented
84#17986340C2211yescharacteristic, complemented
85#17986339C2211yescharacteristic, complemented
86#17986338C2211yescharacteristic, complemented
87#17986337C2211yescharacteristic, complemented
88#17986326C2211yescharacteristic, complemented
89#17986325C2211yescharacteristic, complemented
90#17986324C2211yescharacteristic, complemented
91#17986323C2211yescharacteristic, complemented
92#17986322C2211yescharacteristic, complemented
93#17986321C2211yescharacteristic, complemented
94#17986320C2211yescharacteristic, complemented
95#17986319C2211yescharacteristic, complemented
96#17986319C2211yescharacteristic, complemented
97#17986318C2211yescharacteristic, complemented
98#17986317C2211yescharacteristic, complemented
99#17986316C2211yescharacteristic, complemented
100#17986316C2211yescharacteristic, complemented
101#17986315C2211yescharacteristic, complemented
102#17986314C2211yescharacteristic, complemented
103#17986314C2211yescharacteristic, complemented
104#17986313C2211yescharacteristic, complemented
105#17986312C2211yescharacteristic, complemented
106#17986311C2211yescharacteristic, complemented
107#17986311C2211yescharacteristic, complemented
108#17986310C2211yescharacteristic, complemented
109#17986253C2211yescharacteristic, complemented
110#17986252C2211yescharacteristic, complemented
111#17986251C2211yescharacteristic, complemented
112#17986251C2211yescharacteristic, complemented
113#17986250C2211yescharacteristic, complemented
114#17986250C2211yescharacteristic, complemented
115#17986249C2211yescharacteristic, complemented
116#17986248C2211yescharacteristic, complemented
117#17986247C2211yescharacteristic, complemented
118#17986246C2211yescharacteristic, complemented
119#17986245C2211yescharacteristic, complemented
120#17986244C2211yescharacteristic, complemented
121#17986243C2211yescharacteristic, complemented
122#17986242C2211yescharacteristic, complemented
123#17986236C2211yescharacteristic, complemented
124#17986235C2211yescharacteristic, complemented
125#17986234C2211yescharacteristic, complemented
126#17986234C2211yescharacteristic, complemented
127#17986233C2211yescharacteristic, complemented
128#17986233C2211yescharacteristic, complemented
129#17986232C2211yescharacteristic, complemented
130#17986231C2211yescharacteristic, complemented
131#17986230C2211yescharacteristic, complemented
132#17986229C2211yescharacteristic, complemented
133#17986228C2211yescharacteristic, complemented
134#17986227C2211yescharacteristic, complemented
135#17986226C2211yescharacteristic, complemented
136#17986225C2211yescharacteristic, complemented
137#17986152C2211yescharacteristic, complemented
138#17986151C2211yescharacteristic, complemented
139#17986151C2211yescharacteristic, complemented
140#17986150C2211yescharacteristic, complemented
141#17986149C2211yescharacteristic, complemented
142#17986148C2211yescharacteristic, complemented
143#17986148C2211yescharacteristic, complemented
144#17986147C2211yescharacteristic, complemented
145#17986147C2211yescharacteristic, complemented
146#17986146C2211yescharacteristic, complemented
147#17986146C2211yescharacteristic, complemented
148#17986145C2211yescharacteristic, complemented
149#17986145C2211yescharacteristic, complemented
150#17986144C2211yescharacteristic, complemented
151#17986144C2211yescharacteristic, complemented
152#17986143C2211yescharacteristic, complemented
153#17986143C2211yescharacteristic, complemented
154#17986142C2211yescharacteristic, complemented
155#17986142C2211yescharacteristic, complemented
156#17986141C2211yescharacteristic, complemented
157#17986141C2211yescharacteristic, complemented
158#17986135C2211yescharacteristic, complemented
159#17986134C2211yescharacteristic, complemented
160#17986134C2211yescharacteristic, complemented
161#17986133C2211yescharacteristic, complemented
162#17986132C2211yescharacteristic, complemented
163#17986131C2211yescharacteristic, complemented
164#17986131C2211yescharacteristic, complemented
165#107×D71C2211yescharacteristic, complemented
166#107×D71C2211yescharacteristic, complemented
167#106×D71C2211yescharacteristic, complemented
168#106×D71C2211yescharacteristic, complemented
169#103×D71C2211yescharacteristic, complemented
170#103×D71C2211yescharacteristic, complemented
171#102×D71C2211yescharacteristic
172#102×D71C2211yescharacteristic
173#102×D71C2211yescharacteristic
174#102×D71C2211yescharacteristic
175#102×D71C2211yescharacteristic, complemented
176#102×D71C2211yescharacteristic, complemented
177#17985967C2211yescharacteristic, complemented
178#17985966C2211yescharacteristic, complemented
179#17985965C2211yescharacteristic, complemented
180#17985964C2211yescharacteristic, complemented
181#17985964C2211yescharacteristic, complemented
182#17985964C2211yescharacteristic, complemented
183#17985964C2211yescharacteristic, complemented
184C22⋊C8×D71C2211yescharacteristic
185C22⋊C8×D71C2211yescharacteristic
186C22⋊C8×D71C2211yescharacteristic, complemented
187C22⋊C8×D71C2211yescharacteristic, complemented
188#537×C71C2211yescharacteristic, complemented
189#535×C71C2211yescharacteristic, complemented
190#485×C71C2211yescharacteristic, complemented
191#482×C71C2211yescharacteristic, complemented
192#481×C71C2211yescharacteristic, complemented
193#480×C71C2211yescharacteristic, complemented
194#469×C71C2211yescharacteristic, complemented
195#468×C71C2211yescharacteristic, complemented
196#466×C71C2211yescharacteristic, complemented
197#465×C71C2211yescharacteristic, complemented
198#450×C71C2211yescharacteristic, complemented
199#449×C71C2211yescharacteristic, complemented
200#449×C71C2211yescharacteristic, complemented
201#447×C71C2211yescharacteristic, complemented
202#408×C71C2211yescharacteristic, complemented
203C24×D71—21no—
204C2×#11765866D411yescharacteristic
205C2×#11765866C2311yescharacteristic, complemented
206C2×#11765865—21no—
207C2×#11765865C2311yescharacteristic
208C2×#11765865C2311yescharacteristic
209C2×#11765865C2311yescharacteristic
210C2×#11765865C2311yescharacteristic, complemented
211C2×#11765864—21no—
212C2×#11765864D411yescharacteristic
213C2×#11765864D411yescharacteristic
214C2×#11765864D411yescharacteristic
215C2×#11765864C2311yescharacteristic, complemented
216#41×D71—42no—
217#41×D71—42no—
218#41×D71—42no—
219#41×D71—42no—
220C2×Q8×D71D411yescharacteristic
221C2×Q8×D71C2311yescharacteristic
222C22×D284C2311yescharacteristic
223C22×C22⋊D71—21no—
224C2×D4×D71—21no—
225C2×D4×D71—21no—
226C2×D4×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
242C2×D4×D71C2311yescharacteristic
243C22×C4×D71—21no—
244C22×C4×D71—21no—
245C22×C4×D71C2311yescharacteristic
246C22×C4×D71C2311yescharacteristic
247C22×C4×D71C2311yescharacteristic
248C2×#11765854C2311yescharacteristic
249C2×#11765854C2311yescharacteristic
250C2×#11765853C2311yescharacteristic
251C2×#11765853C2311yescharacteristic
252C2×#11765852C2311yescharacteristic
253C2×#11765852C2311yescharacteristic
254SD16×D71—42no—
255SD16×D71—42no—
256C2×D568C2311yescharacteristic
257C2×D568C2311yescharacteristic
258C2×#11765850C2311yescharacteristic
259C2×#11765850C2311yescharacteristic
260C2×#11765850C2311yescharacteristic
261C2×#11765850C2311yescharacteristic
262D8×D71—42no—
263D8×D71—42no—
264C2×#11765849C2311yescharacteristic, complemented
265C2×#11765848C2311yescharacteristic, complemented
266C2×#11765848C2311yescharacteristic, complemented
267M16×D71—42no—
268C22×C71⋊C8C2311yescharacteristic, complemented
269C2×C8×D71—42no—
270C2×C8×D71C2311yescharacteristic
271C2×C8×D71C2311yescharacteristic
272C2×C8×D71C2311yescharacteristic
273C2×C8×D71C2311yescharacteristic
274C2×C8×D71C2311yescharacteristic, complemented
275C2×C8×D71C2311yescharacteristic, complemented
276#14556125—21no—
277#14556124—21no—
278#14556124—21no—
279#14556124—21no—
280#14556124—21no—
281#14556124—21no—
282#14556124—21no—
283#14556117—21no—
284#14556116—21no—
285#14556115—21no—
286#14556114—21no—
287#14556114—21no—
288#14556114—21no—
289#14556114—21no—
290#14556108—21no—
291#14556108C2311yescharacteristic
292#14556108C2311yescharacteristic, complemented
293#14556107—21no—
294#14556107C2311yescharacteristic
295#14556107C2311yescharacteristic, complemented
296#14556106—21no—
297#14556106—21no—
298#14556106—21no—
299#14556106—21no—
300#14556105—21no—
301#14556105—21no—
302#14556105—21no—
303#14556105—21no—
304#14556104—21no—
305#14556104C2311yescharacteristic
306#14556104C2311yescharacteristic, complemented
307#14556103—21no—
308#14556103—21no—
309#14556103—21no—
310#14556103C2311yescharacteristic
311#14556103C2311yescharacteristic
312#14556103C2311yescharacteristic
313#14556103C2311yescharacteristic
314#14556103C2311yescharacteristic
315#14556103C2311yescharacteristic, complemented
316#14556102—21no—
317#14556102—21no—
318#14556102—21no—
319#14556102C2311yescharacteristic
320#14556102C2311yescharacteristic
321#14556102C2311yescharacteristic
322#14556102C2311yescharacteristic
323#14556102C2311yescharacteristic
324#14556102C2311yescharacteristic, complemented
325#14556101—21no—
326#14556101—21no—
327#14556101—21no—
328#14556101—21no—
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#14556100—21no—
344#14556100—21no—
345#14556100—21no—
346#14556100—21no—
347#14556100—21no—
348#14556100—21no—
349#14556099—21no—
350#14556099—21no—
351#14556099—21no—
352#14556099C2311yescharacteristic
353#14556099C2311yescharacteristic
354#14556099C2311yescharacteristic
355#14556099C2311yescharacteristic
356#14556099C2311yescharacteristic
357#14556099C2311yescharacteristic, complemented
358#14556098—21no—
359#14556098—21no—
360#14556098—21no—
361#14556098—21no—
362#14556098—21no—
363#14556098—21no—
364#14556097—21no—
365#14556097—21no—
366#14556096—21no—
367#14556096—21no—
368#14556096—21no—
369#14556096—21no—
370#14556096—21no—
371#14556096—21no—
372#14556087C2311yescharacteristic
373#14556086C2311yescharacteristic
374#14556086C2311yescharacteristic
375#14556085—21no—
376#14556084—21no—
377C2×C4⋊Dic71C2311yescharacteristic, complemented
378C2×Dic71⋊C4—21no—
379C4⋊C4×D71—21no—
380C4⋊C4×D71—21no—
381C4⋊C4×D71—21no—
382C4⋊C4×D71—21no—
383C4⋊C4×D71C2311yescharacteristic
384C4⋊C4×D71C2311yescharacteristic
385C4⋊C4×D71C2311yescharacteristic
386C4⋊C4×D71C2311yescharacteristic
387C4⋊C4×D71C2311yescharacteristic, complemented
388C4⋊C4×D71C2311yescharacteristic, complemented
389C22⋊C4×D71—21no—
390C22⋊C4×D71—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#14556051C2311yescharacteristic, complemented
416#14556051C2311yescharacteristic, complemented
417#14556050C2311yescharacteristic
418#14556050C2311yescharacteristic
419#14556050C2311yescharacteristic
420#14556050C2311yescharacteristic
421#14556050C2311yescharacteristic, complemented
422#14556050C2311yescharacteristic, complemented
423#14556049C2311yescharacteristic
424#14556049C2311yescharacteristic
425#14556049C2311yescharacteristic
426#14556049C2311yescharacteristic
427#14556049C2311yescharacteristic, complemented
428#14556049C2311yescharacteristic, complemented
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
448C2×#41×C71C2311yescharacteristic, complemented
449C22×D4×C71C2311yescharacteristic
450C2×SD16×C71C2311yescharacteristic
451C2×SD16×C71C2311yescharacteristic
452C2×D8×C71C2311yescharacteristic
453C2×D8×C71C2311yescharacteristic
454C2×M16×C71C2311yescharacteristic, complemented
455C22×C8×C71C2311yescharacteristic, complemented
456#127×C71—21no—
457#124×C71—21no—
458C22⋊Q8×C71—21no—
459C22⋊Q8×C71C2311yescharacteristic
460C22⋊Q8×C71C2311yescharacteristic, complemented
461#121×C71—21no—
462#121×C71—21no—
463#121×C71—21no—
464#121×C71C2311yescharacteristic
465#121×C71C2311yescharacteristic
466#121×C71C2311yescharacteristic
467#121×C71C2311yescharacteristic
468#121×C71C2311yescharacteristic
469#121×C71C2311yescharacteristic, complemented
470#120×C71—21no—
471#120×C71—21no—
472#117×C71C2311yescharacteristic
473C2×C4⋊C4×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#102×C71C2311yescharacteristic
481#102×C71C2311yescharacteristic
482#102×C71C2311yescharacteristic
483#102×C71C2311yescharacteristic
484#102×C71C2311yescharacteristic, complemented
485#102×C71C2311yescharacteristic, complemented
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—21no—
496C23×D71—44no—
497C23×D71—82no—
498C23×D71—82no—
499C23×D71C2×D411yescharacteristic
500C23×D71C2×D411yescharacteristic
501C23×D71C2×D411yescharacteristic
502#11765866—42no—
503#11765866—41no—
504#11765866—41no—
505#11765865—41no—
506#11765865—41no—
507#11765865—41no—
508#11765865—41no—
509#11765865—41no—
510#11765865—41no—
511#11765865—41no—
512#11765865—41no—
513#11765865—44no—
514#11765864—41no—
515#11765864—41no—
516#11765864—42no—
517#11765864—42no—
518#11765864—42no—
519#11765864—44no—
520C2×Dic142—21no—
521C2×Dic142C2×D411yescharacteristic
522C2×Dic142C2×D411yescharacteristic
523C2×Dic142C2×D411yescharacteristic
524C2×Dic142C2411yescharacteristic
525Q8×D71—22no—
526Q8×D71—22no—
527Q8×D71—42no—
528C2×D284—21no—
529C2×D284—21no—
530C2×D284—21no—
531C2×D284—21no—
532C2×D284—21no—
533C2×D284—21no—
534C2×D284—21no—
535C2×D284—21no—
536C2×D284—41no—
537C2×D284—41no—
538C2×D284C2×D411yescharacteristic
539C2×D284C2×D411yescharacteristic
540C2×D284C2×D411yescharacteristic
541C2×D284C2411yescharacteristic
542C2×D284C2411yescharacteristic
543C2×D284C2411yescharacteristic
544C2×C22⋊D71—21no—
545C2×C22⋊D71—21no—
546C2×C22⋊D71—21no—
547C2×C22⋊D71—21no—
548C2×C22⋊D71—21no—
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—44no—
564C2×C22⋊D71C2×D411yescharacteristic
565C2×C22⋊D71C2×D411yescharacteristic
566C2×C22⋊D71C2×D411yescharacteristic
567C2×C22⋊D71C2×D411yescharacteristic
568C2×C22⋊D71C2×D411yescharacteristic
569C2×C22⋊D71C2×D411yescharacteristic
570D4×D71—22no—
571D4×D71—22no—
572D4×D71—22no—
573D4×D71—22no—
574D4×D71—22no—
575D4×D71—22no—
576D4×D71—41no—
577D4×D71—41no—
578D4×D71—41no—
579D4×D71—41no—
580D4×D71—42no—
581D4×D71—42no—
582D4×D71—42no—
583D4×D71—44no—
584D4×D71—44no—
585D4×D71—44no—
586D4×D71—82no—
587D4×D71—82no—
588D4×D71—82no—
589D4×D71—82no—
590D4×D71—82no—
591D4×D71—82no—
592C22×Dic71—21no—
593C22×Dic71—21no—
594C22×Dic71C2×D411yescharacteristic
595C22×Dic71C2×D411yescharacteristic
596C22×Dic71C2×D411yescharacteristic
597C2×C4×D71—22no—
598C2×C4×D71—22no—
599C2×C4×D71—22no—
600C2×C4×D71—22no—
601C2×C4×D71—22no—
602C2×C4×D71—22no—
603C2×C4×D71—21no—
604C2×C4×D71—21no—
605C2×C4×D71—21no—
606C2×C4×D71—21no—
607C2×C4×D71—21no—
608C2×C4×D71—21no—
609C2×C4×D71—21no—
610C2×C4×D71—21no—
611C2×C4×D71—21no—
612C2×C4×D71—44no—
613C2×C4×D71—82no—
614C2×C4×D71C2×D411yescharacteristic
615C2×C4×D71C2×D411yescharacteristic
616C2×C4×D71C2×D411yescharacteristic
617C2×C4×D71C2×D411yescharacteristic
618C2×C4×D71C2×D411yescharacteristic
619C2×C4×D71C2×D411yescharacteristic
620C2×C4×D71C2411yescharacteristic
621C2×C4×D71C2411yescharacteristic
622C2×C4×D71C2411yescharacteristic
623C2×C4×D71C2411yescharacteristic
624#11765854—41no—
625#11765854—41no—
626#11765853—41no—
627#11765853—41no—
628#11765852—41no—
629#11765852—41no—
630D568—41no—
631D568—41no—
632#11765850—41no—
633#11765850—41no—
634#11765850—41no—
635#11765850—41no—
636#11765849—41no—
637#11765848—41no—
638#11765848—41no—
639C2×C71⋊C8—41no—
640C2×C71⋊C8C2411yescharacteristic
641C2×C71⋊C8C2411yescharacteristic
642C2×C71⋊C8C2411yescharacteristic
643C2×C71⋊C8C2411yescharacteristic
644C8×D71—22no—
645C8×D71—22no—
646C8×D71—22no—
647C8×D71—22no—
648C8×D71—41no—
649C8×D71—41no—
650C4⋊Dic71—21no—
651C4⋊Dic71—21no—
652C4⋊Dic71—21no—
653C4⋊Dic71C2411yescharacteristic
654C4⋊Dic71C2411yescharacteristic
655C4⋊Dic71C2411yescharacteristic
656C4⋊Dic71C2411yescharacteristic
657Dic71⋊C4—21no—
658Dic71⋊C4—21no—
659Dic71⋊C4—21no—
660Dic71⋊C4—21no—
661Dic71⋊C4—21no—
662Dic71⋊C4—21no—
663Dic71⋊C4—21no—
664Dic71⋊C4—21no—
665Dic71⋊C4—21no—
666Dic71⋊C4—21no—
667C22⋊Dic71—21no—
668C22⋊Dic71—21no—
669C22⋊Dic71—21no—
670C22⋊Dic71—21no—
671C22⋊Dic71—21no—
672C22⋊Dic71—21no—
673C22⋊Dic71—21no—
674C22⋊Dic71—21no—
675C22⋊Dic71—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—
689(C2×D71)⋊C4—21no—
690(C2×D71)⋊C4—21no—
691(C2×D71)⋊C4—21no—
692(C2×D71)⋊C4—21no—
693(C2×D71)⋊C4—21no—
694C4×Dic71—21no—
695C4×Dic71—21no—
696C4×Dic71—21no—
697C24×C71—21no—
698#41×C71—41no—
699#41×C71—41no—
700#41×C71—41no—
701#41×C71—41no—
702C2×Q8×C71C2×D411yescharacteristic
703C2×Q8×C71C2411yescharacteristic
704C2×D4×C71—21no—
705C2×D4×C71—21no—
706C2×D4×C71—21no—
707C2×D4×C71—21no—
708C2×D4×C71—21no—
709C2×D4×C71—21no—
710C2×D4×C71—21no—
711C2×D4×C71—21no—
712C2×D4×C71—41no—
713C2×D4×C71—41no—
714C2×D4×C71C2×D411yescharacteristic
715C2×D4×C71C2×D411yescharacteristic
716C2×D4×C71C2×D411yescharacteristic
717C2×D4×C71C2411yescharacteristic
718C2×D4×C71C2411yescharacteristic
719C2×D4×C71C2411yescharacteristic
720C22×C4×C71—21no—
721C22×C4×C71—21no—
722C22×C4×C71C2411yescharacteristic
723C22×C4×C71C2411yescharacteristic
724C22×C4×C71C2411yescharacteristic
725SD16×C71—41no—
726SD16×C71—41no—
727D8×C71—41no—
728D8×C71—41no—
729M16×C71—41no—
730C2×C8×C71—41no—
731C2×C8×C71C2411yescharacteristic
732C2×C8×C71C2411yescharacteristic
733C2×C8×C71C2411yescharacteristic
734C2×C8×C71C2411yescharacteristic
735C4⋊C4×C71—21no—
736C4⋊C4×C71—21no—
737C4⋊C4×C71—21no—
738C4⋊C4×C71C2411yescharacteristic
739C4⋊C4×C71C2411yescharacteristic
740C4⋊C4×C71C2411yescharacteristic
741C4⋊C4×C71C2411yescharacteristic
742C22⋊C4×C71—21no—
743C22⋊C4×C71—21no—
744C22⋊C4×C71—21no—
745C22⋊C4×C71—21no—
746C22⋊C4×C71—21no—
747C22⋊C4×C71—21no—
748C22⋊C4×C71—21no—
749C22⋊C4×C71—21no—
750C22⋊C4×C71—21no—
751C42×C71—21no—
752C23×C71—21no—
753C23×C71—21no—
754C23×C71—21no—
755C23×C71—42no—
756C23×C71—81no—
757C23×C71—81no—
758C23×C71C22×D411yescharacteristic
759C23×C71C22×D411yescharacteristic
760C23×C71C22×D411yescharacteristic
761C22×D71—22no—
762C22×D71—22no—
763C22×D71—22no—
764C22×D71—22no—
765C22×D71—22no—
766C22×D71—22no—
767C22×D71—22no—
768C22×D71—22no—
769C22×D71—22no—
770C22×D71—21no—
771C22×D71—21no—
772C22×D71—21no—
773C22×D71—42no—
774C22×D71—42no—
775C22×D71—42no—
776C22×D71—42no—
777C22×D71—42no—
778C22×D71—42no—
779C22×D71—42no—
780C22×D71—42no—
781C22×D71—42no—
782C22×D71—42no—
783C22×D71—42no—
784C22×D71—42no—
785C22×D71—81no—
786C22×D71—81no—
787C22×D71—81no—
788C22×D71—81no—
789C22×D71—81no—
790C22×D71—81no—
791C22×D71—816no—
792C22×D71C22×D411yescharacteristic
793C22×D71C22×D411yescharacteristic
794C22×D71C22×D411yescharacteristic
795C22×D71C22×D411yescharacteristic
796Q8×C71—21no—
797Q8×C71—21no—
798Q8×C71—41no—
799D4×C71—21no—
800D4×C71—21no—
801D4×C71—21no—
802D4×C71—21no—
803D4×C71—21no—
804D4×C71—21no—
805D4×C71—41no—
806D4×C71—41no—
807D4×C71—41no—
808D4×C71—42no—
809D4×C71—42no—
810D4×C71—81no—
811D4×C71—81no—
812D4×C71—81no—
813D4×C71—81no—
814D4×C71—81no—
815D4×C71—81no—
816C2×C4×C71—21no—
817C2×C4×C71—21no—
818C2×C4×C71—21no—
819C2×C4×C71—21no—
820C2×C4×C71—21no—
821C2×C4×C71—21no—
822C2×C4×C71—21no—
823C2×C4×C71—21no—
824C2×C4×C71—21no—
825C2×C4×C71—21no—
826C2×C4×C71—21no—
827C2×C4×C71—42no—
828C2×C4×C71—81no—
829C2×C4×C71C22×D411yescharacteristic
830C2×C4×C71C22×D411yescharacteristic
831C2×C4×C71C22×D411yescharacteristic
832C2×C4×C71C2511yescharacteristic
833C22⋊D71—41no—
834C22⋊D71—41no—
835C22⋊D71—41no—
836C22⋊D71—41no—
837C22⋊D71—41no—
838C22⋊D71—41no—
839C22⋊D71—42no—
840C22⋊D71—42no—
841C22⋊D71—42no—
842C22⋊D71—42no—
843C22⋊D71—42no—
844C22⋊D71—42no—
845C22⋊D71—42no—
846C22⋊D71—81no—
847C22⋊D71—81no—
848C22⋊D71—81no—
849C22⋊D71—81no—
850C22⋊D71—81no—
851C22⋊D71—81no—
852C22⋊D71—81no—
853C22⋊D71—81no—
854C22⋊D71—81no—
855C22⋊D71—81no—
856C22⋊D71—81no—
857C22⋊D71—81no—
858C2×Dic71—22no—
859C2×Dic71—22no—
860C2×Dic71—22no—
861C2×Dic71—21no—
862C2×Dic71—21no—
863C2×Dic71—21no—
864C2×Dic71—21no—
865C2×Dic71—21no—
866C2×Dic71—42no—
867C2×Dic71—81no—
868C2×Dic71C22×D411yescharacteristic
869C2×Dic71C22×D411yescharacteristic
870C2×Dic71C22×D411yescharacteristic
871C2×Dic71C22×D411yescharacteristic
872D284—21no—
873D284—21no—
874D284—21no—
875D284—21no—
876D284—21no—
877D284—21no—
878D284—41no—
879D284—41no—
880D284—41no—
881D284—42no—
882D284—42no—
883D284—81no—
884D284—81no—
885D284—81no—
886D284—81no—
887D284—81no—
888D284—81no—
889C4×D71—22no—
890C4×D71—22no—
891C4×D71—22no—
892C4×D71—21no—
893C4×D71—21no—
894C4×D71—21no—
895C4×D71—21no—
896C4×D71—21no—
897C4×D71—21no—
898C4×D71—22no—
899C4×D71—22no—
900C4×D71—22no—
901C4×D71—42no—
902C4×D71—42no—
903C4×D71—42no—
904C4×D71—42no—
905C4×D71—42no—
906C4×D71—42no—
907C4×D71—42no—
908C4×D71—81no—
909C4×D71—81no—
910C4×D71H(5,𝔽2)12yes—
911C4×D71H(5,𝔽2)12yes—
912Dic142—21no—
913Dic142—21no—
914Dic142—41no—
915Dic142—41no—
916Dic142—41no—
917Dic142—42no—
918C8×C71—21no—
919C8×C71—21no—
920C8×C71—21no—
921C8×C71—21no—
922C71⋊C8—21no—
923C71⋊C8—21no—
924C71⋊C8—21no—
925C71⋊C8—21no—
926C22×C71—21no—
927C22×C71—21no—
928C22×C71—21no—
929C22×C71—21no—
930C22×C71—21no—
931C22×C71—21no—
932C22×C71—21no—
933C22×C71—21no—
934C22×C71—21no—
935C22×C71—41no—
936C22×C71—41no—
937C22×C71—41no—
938C22×C71—41no—
939C22×C71—41no—
940C22×C71—41no—
941C22×C71—41no—
942C22×C71—41no—
943C22×C71—41no—
944C22×C71—84no—
945C22×C71C23×D411yescharacteristic
946C2×D71—21no—
947C2×D71—21no—
948C2×D71—21no—
949C2×D71—21no—
950C2×D71—21no—
951C2×D71—21no—
952C2×D71—21no—
953C2×D71—21no—
954C2×D71—21no—
955C2×D71—44no—
956C2×D71—44no—
957C2×D71—44no—
958C2×D71—41no—
959C2×D71—41no—
960C2×D71—41no—
961C2×D71—41no—
962C2×D71—41no—
963C2×D71—41no—
964C2×D71—41no—
965C2×D71—41no—
966C2×D71—41no—
967C2×D71—84no—
968C2×D71—84no—
969C2×D71—84no—
970C2×D71—84no—
971C2×D71—84no—
972C2×D71—84no—
973C2×D71#53412yes—
974C2×D71#57612yes—
975C2×D71#57712yes—
976C4×C71—21no—
977C4×C71—21no—
978C4×C71—21no—
979C4×C71—41no—
980C4×C71—41no—
981C4×C71—41no—
982C4×C71—41no—
983C4×C71—41no—
984C4×C71C2×H(5,𝔽2)11yescharacteristic
985C4×C71C2×H(5,𝔽2)11yescharacteristic
986Dic71—21no—
987Dic71—21no—
988Dic71—21no—
989Dic71—41no—
990Dic71—41no—
991Dic71—41no—
992Dic71—41no—
993Dic71—41no—
994Dic71#53412yes—
995C2×#3198—711nomaximal, Sylow
996C2×C71—41no—
997C2×C71—41no—
998C2×C71—41no—
999C2×C71—81no—
1000C2×C71—81no—
1001C2×C71—81no—
1002C2×C71C2×#53411yescharacteristic
1003C2×C71C2×#57611yescharacteristic
1004C2×C71C2×#57711yescharacteristic
1005D71—41no—
1006D71—41no—
1007D71—41no—
1008D71—81no—
1009D71—81no—
1010D71—81no—
1011D71#319814yesdirect product factor
1012C2×#537—711no—
1013C2×#535—711no—
1014#3198—711no—
1015#3198—711no—
1016#3198—711no—
1017#3198—711no—
1018#3198—711no—
1019#3198—711no—
1020#3198—711no—
1021#3198—711no—
1022#3198—711no—
1023#3198—711no—
1024#3198—711no—
1025#3198—711no—
1026#3198—711no—
1027#3198—711no—
1028#3198—711no—
1029#3198D7111yescharacteristic, direct product factor
1030C2×#481—711no—
1031C2×#485—711no—
1032C2×#482—711no—
1033C2×#480—711no—
1034C2×#469—711no—
1035C2×#468—711no—
1036C2×#466—711no—
1037C2×#465—711no—
1038C2×#449—711no—
1039C2×#449—711no—
1040C2×#450—711no—
1041C2×#447—711no—
1042C2×#408—711no—
1043C71C2×#319811yescharacteristic, complemented, Sylow
1044C22×#41—711no—
1045C22×#41—711no—
1046C23×D4—711no—
1047C22×SD16—711no—
1048C22×SD16—711no—
1049C22×D8—711no—
1050C22×D8—711no—
1051C22×M16—711no—
1052C23×C8—711no—
1053#537—711no—
1054#537—711no—
1055#537—711no—
1056#537—711no—
1057#537—711no—
1058#537—711no—
1059#537—711no—
1060#537—1421no—
1061#537—1421no—
1062#537—1421no—
1063#537—1421no—
1064#537C2×D7111yescharacteristic, complemented
1065#535—711no—
1066#535—711no—
1067#535—711no—
1068#535—711no—
1069#535—711no—
1070#535—711no—
1071#535—711no—
1072#535—1421no—
1073#535—1421no—
1074#535—1421no—
1075#535—1421no—
1076#535C2×D7111yescharacteristic, complemented
1077C2×#127—1421no—
1078C2×#124—1421no—
1079C2×C22⋊Q8—711no—
1080C2×C22⋊Q8—711no—
1081C2×C22⋊Q8—1421no—
1082C2×#121—711no—
1083C2×#121—711no—
1084C2×#121—711no—
1085C2×#121—711no—
1086C2×#121—711no—
1087C2×#121—711no—
1088C2×#121—1421no—
1089C2×#121—1421no—
1090C2×#121—1421no—
1091C2×#120—1421no—
1092C2×#120—1421no—
1093C2×#117—711no—
1094C22×C4⋊C4—711no—
1095#485—711no—
1096#485—711no—
1097#485—711no—
1098#485—711no—
1099#485—711no—
1100#485—711no—
1101#485—711no—
1102#485C2×D7111yescharacteristic, complemented
1103#482—711no—
1104#482—711no—
1105#482—711no—
1106#482—711no—
1107#482—711no—
1108#482—711no—
1109#482—711no—
1110#482C2×D7111yescharacteristic, complemented
1111#481—711no—
1112#481—711no—
1113#481—711no—
1114#481—711no—
1115#481—711no—
1116#481—711no—
1117#481—711no—
1118#481C2×D7111yescharacteristic, complemented
1119#480—711no—
1120#480—711no—
1121#480—711no—
1122#480—711no—
1123#480—711no—
1124#480—711no—
1125#480—711no—
1126#480C2×D7111yescharacteristic, complemented
1127#469—711no—
1128#469—711no—
1129#469—711no—
1130#469—711no—
1131#469—711no—
1132#469—711no—
1133#469—711no—
1134#469C2×D7111yescharacteristic, complemented
1135#468—711no—
1136#468—711no—
1137#468—711no—
1138#468—711no—
1139#468—711no—
1140#468—711no—
1141#468—711no—
1142#468C2×D7111yescharacteristic, complemented
1143#466—711no—
1144#466—711no—
1145#466—711no—
1146#466—711no—
1147#466—711no—
1148#466—711no—
1149#466—711no—
1150#466C2×D7111yescharacteristic, complemented
1151#465—711no—
1152#465—711no—
1153#465—711no—
1154#465—711no—
1155#465—711no—
1156#465—711no—
1157#465—711no—
1158#465C2×D7111yescharacteristic, complemented
1159#450—711no—
1160#450—711no—
1161#450—711no—
1162#450—711no—
1163#450—711no—
1164#450—711no—
1165#450—711no—
1166#450C2×D7111yescharacteristic, complemented
1167#449—711no—
1168#449—711no—
1169#449—711no—
1170#449—711no—
1171#449—711no—
1172#449—711no—
1173#449—711no—
1174#449—711no—
1175#449—711no—
1176#449—711no—
1177#449—711no—
1178#449—711no—
1179#449—711no—
1180#449—711no—
1181#449C2×D7111yescharacteristic, complemented
1182#449C2×D7111yescharacteristic, complemented
1183#447—711no—
1184#447—711no—
1185#447—711no—
1186#447—711no—
1187#447—711no—
1188#447—711no—
1189#447—711no—
1190#447C2×D7111yescharacteristic, complemented
1191C2×#107—711no—
1192C2×#107—711no—
1193C2×#106—711no—
1194C2×#106—711no—
1195C2×#103—711no—
1196C2×#103—711no—
1197C2×#102—711no—
1198C2×#102—711no—
1199C2×#102—711no—
1200C2×#102—711no—
1201C2×#102—711no—
1202C2×#102—711no—
1203#408—711no—
1204#408—711no—
1205#408—711no—
1206#408—711no—
1207#408—711no—
1208#408—711no—
1209#408—711no—
1210#408C2×D7111yescharacteristic, complemented
1211C2×C22⋊C8—711no—
1212C2×C22⋊C8—711no—
1213C2×C22⋊C8—711no—
1214C2×C22⋊C8—711no—
1215C25—1421no—
1216C2×#41—2842no—
1217C2×#41—2842no—
1218C2×#41—2842no—
1219C2×#41—2842no—
1220C2×#41—711no—
1221C2×#41—711no—
1222C2×#41—711no—
1223C2×#41—711no—
1224C2×#41—711no—
1225C2×#41—711no—
1226C2×#41—711no—
1227C2×#41—711no—
1228C2×#41—711no—
1229C2×#41—711no—
1230C2×#41—1421no—
1231C2×#41—1421no—
1232C2×#41C22×D7111yescharacteristic
1233C2×#41C22×D7111yescharacteristic, complemented
1234C22×Q8—711no—
1235C22×Q8—711no—
1236C22×D4—2842no—
1237C22×D4—2842no—
1238C22×D4—711no—
1239C22×D4—711no—
1240C22×D4—711no—
1241C22×D4—711no—
1242C22×D4—711no—
1243C22×D4—711no—
1244C22×D4—711no—
1245C22×D4—711no—
1246C22×D4—711no—
1247C22×D4—1421no—
1248C22×D4—1421no—
1249C22×D4—1421no—
1250C22×D4—1421no—
1251C22×D4—1421no—
1252C22×D4—1421no—
1253C22×D4—1421no—
1254C22×D4—1421no—
1255C22×D4—1421no—
1256C22×D4—1421no—
1257C22×D4C22×D7111yescharacteristic
1258C23×C4—711no—
1259C23×C4—711no—
1260C23×C4—711no—
1261C23×C4—1421no—
1262C23×C4—1421no—
1263C2×SD16—2842no—
1264C2×SD16—2842no—
1265C2×SD16—711no—
1266C2×SD16—711no—
1267C2×SD16—711no—
1268C2×SD16—711no—
1269C2×SD16—711no—
1270C2×SD16—711no—
1271C2×SD16C22×D7111yescharacteristic
1272C2×SD16C22×D7111yescharacteristic
1273C2×D8—2842no—
1274C2×D8—2842no—
1275C2×D8—711no—
1276C2×D8—711no—
1277C2×D8—711no—
1278C2×D8—711no—
1279C2×D8—711no—
1280C2×D8—711no—
1281C2×D8C22×D7111yescharacteristic
1282C2×D8C22×D7111yescharacteristic
1283C2×M16—2842no—
1284C2×M16—711no—
1285C2×M16—711no—
1286C2×M16—711no—
1287C2×M16C22×D7111yescharacteristic, complemented
1288C22×C8—2842no—
1289C22×C8—711no—
1290C22×C8—711no—
1291C22×C8—711no—
1292C22×C8—711no—
1293C22×C8—711no—
1294C22×C8—711no—
1295C22×C8—711no—
1296C22×C8C22×D7111yescharacteristic, complemented
1297#127—21no—
1298#127—1421no—
1299#127—1421no—
1300#127—1421no—
1301#127—1421no—
1302#127—1421no—
1303#127—1421no—
1304#127—1421no—
1305#124—21no—
1306#124—1421no—
1307#124—1421no—
1308#124—1421no—
1309#124—1421no—
1310#124—1421no—
1311#124—1421no—
1312#124—1421no—
1313C22⋊Q8—21no—
1314C22⋊Q8—711no—
1315C22⋊Q8—711no—
1316C22⋊Q8—711no—
1317C22⋊Q8—711no—
1318C22⋊Q8—711no—
1319C22⋊Q8—711no—
1320C22⋊Q8—1421no—
1321C22⋊Q8—1421no—
1322C22⋊Q8—1421no—
1323C22⋊Q8—1421no—
1324C22⋊Q8—1421no—
1325C22⋊Q8—1421no—
1326C22⋊Q8—1421no—
1327C22⋊Q8—1421no—
1328C22⋊Q8—1421no—
1329C22⋊Q8—1421no—
1330C22⋊Q8—1421no—
1331C22⋊Q8C22×D7111yescharacteristic
1332C22⋊Q8C22×D7111yescharacteristic, complemented
1333#121—21no—
1334#121—21no—
1335#121—21no—
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—711no—
1347#121—711no—
1348#121—711no—
1349#121—711no—
1350#121—711no—
1351#121—711no—
1352#121—711no—
1353#121—711no—
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#121—1421no—
1364#121—1421no—
1365#121—1421no—
1366#121—1421no—
1367#121—1421no—
1368#121—1421no—
1369#121—1421no—
1370#121—1421no—
1371#121—1421no—
1372#121—1421no—
1373#121—1421no—
1374#121—1421no—
1375#121—1421no—
1376#121—1421no—
1377#121—1421no—
1378#121—1421no—
1379#121—1421no—
1380#121—1421no—
1381#121—1421no—
1382#121—1421no—
1383#121—1421no—
1384#121—1421no—
1385#121—1421no—
1386#121—1421no—
1387#121C22×D7111yescharacteristic
1388#121C22×D7111yescharacteristic
1389#121C22×D7111yescharacteristic
1390#121C22×D7111yescharacteristic
1391#121C22×D7111yescharacteristic
1392#121C22×D7111yescharacteristic, complemented
1393#120—21no—
1394#120—21no—
1395#120—1421no—
1396#120—1421no—
1397#120—1421no—
1398#120—1421no—
1399#120—1421no—
1400#120—1421no—
1401#120—1421no—
1402#120—1421no—
1403#120—1421no—
1404#120—1421no—
1405#120—1421no—
1406#120—1421no—
1407#120—1421no—
1408#120—1421no—
1409#117—711no—
1410#117—711no—
1411#117—711no—
1412#117—1421no—
1413#117—1421no—
1414#117C22×D7111yescharacteristic
1415C2×C4⋊C4—711no—
1416C2×C4⋊C4—711no—
1417C2×C4⋊C4—711no—
1418C2×C4⋊C4—711no—
1419C2×C4⋊C4—711no—
1420C2×C4⋊C4—711no—
1421C2×C4⋊C4—711no—
1422C2×C4⋊C4—1421no—
1423C2×C4⋊C4—1421no—
1424C2×C4⋊C4—1421no—
1425C2×C4⋊C4—1421no—
1426C2×C4⋊C4—1421no—
1427C2×C4⋊C4C22×D7111yescharacteristic, complemented
1428C2×C22⋊C4—1421no—
1429C2×C22⋊C4—1421no—
1430C2×C22⋊C4—1421no—
1431C2×C22⋊C4—1421no—
1432C2×C22⋊C4—1421no—
1433C2×C22⋊C4—1421no—
1434C2×C22⋊C4—1421no—
1435C2×C22⋊C4—1421no—
1436C2×C22⋊C4—1421no—
1437C2×C42—1421no—
1438#107—711no—
1439#107—711no—
1440#107—711no—
1441#107—711no—
1442#107—711no—
1443#107—711no—
1444#107C22×D7111yescharacteristic, complemented
1445#107C22×D7111yescharacteristic, complemented
1446#106—711no—
1447#106—711no—
1448#106—711no—
1449#106—711no—
1450#106—711no—
1451#106—711no—
1452#106C22×D7111yescharacteristic, complemented
1453#106C22×D7111yescharacteristic, complemented
1454#103—711no—
1455#103—711no—
1456#103—711no—
1457#103—711no—
1458#103—711no—
1459#103—711no—
1460#103C22×D7111yescharacteristic, complemented
1461#103C22×D7111yescharacteristic, complemented
1462#102—711no—
1463#102—711no—
1464#102—711no—
1465#102—711no—
1466#102—711no—
1467#102—711no—
1468#102—711no—
1469#102—711no—
1470#102—711no—
1471#102—711no—
1472#102—711no—
1473#102—711no—
1474#102—711no—
1475#102—711no—
1476#102—711no—
1477#102—711no—
1478#102—711no—
1479#102—711no—
1480#102C22×D7111yescharacteristic
1481#102C22×D7111yescharacteristic
1482#102C22×D7111yescharacteristic
1483#102C22×D7111yescharacteristic
1484#102C22×D7111yescharacteristic, complemented
1485#102C22×D7111yescharacteristic, complemented
1486C22⋊C8—711no—
1487C22⋊C8—711no—
1488C22⋊C8—711no—
1489C22⋊C8—711no—
1490C22⋊C8—711no—
1491C22⋊C8—711no—
1492C22⋊C8—711no—
1493C22⋊C8—711no—
1494C22⋊C8—711no—
1495C22⋊C8—711no—
1496C22⋊C8—711no—
1497C22⋊C8—711no—
1498C22⋊C8C22×D7111yescharacteristic
1499C22⋊C8C22×D7111yescharacteristic
1500C22⋊C8C22×D7111yescharacteristic, complemented
1501C22⋊C8C22×D7111yescharacteristic, complemented
1502C24—21no—
1503C24—2844no—
1504C24—5682no—
1505C24—5682no—
1506C24—711no—
1507C24—711no—
1508C24—711no—
1509C24—1421no—
1510C24—1421no—
1511C24—1421no—
1512C24—1421no—
1513C24—1421no—
1514C24—1421no—
1515#41—41no—
1516#41—41no—
1517#41—41no—
1518#41—41no—
1519#41—2841no—
1520#41—2841no—
1521#41—2841no—
1522#41—2841no—
1523#41—2841no—
1524#41—2841no—
1525#41—2841no—
1526#41—2841no—
1527#41—2844no—
1528#41—2841no—
1529#41—2841no—
1530#41—2844no—
1531#41—2841no—
1532#41—2841no—
1533#41—2842no—
1534#41—2842no—
1535#41—2842no—
1536#41—2842no—
1537C2×Q8—2842no—
1538C2×Q8—711no—
1539C2×Q8—711no—
1540C2×Q8—711no—
1541C2×Q8—711no—
1542C2×Q8—1421no—
1543C2×Q8—1422no—
1544C2×Q8—1422no—
1545C2×Q8D4×D7111yescharacteristic
1546C2×Q8C23×D7111yescharacteristic
1547C2×D4—21no—
1548C2×D4—21no—
1549C2×D4—21no—
1550C2×D4—21no—
1551C2×D4—21no—
1552C2×D4—21no—
1553C2×D4—21no—
1554C2×D4—21no—
1555C2×D4—41no—
1556C2×D4—41no—
1557C2×D4—2841no—
1558C2×D4—2841no—
1559C2×D4—2844no—
1560C2×D4—2841no—
1561C2×D4—2841no—
1562C2×D4—2841no—
1563C2×D4—2841no—
1564C2×D4—2844no—
1565C2×D4—2844no—
1566C2×D4—2842no—
1567C2×D4—2842no—
1568C2×D4—2842no—
1569C2×D4—2844no—
1570C2×D4—5682no—
1571C2×D4—5682no—
1572C2×D4—5682no—
1573C2×D4—5682no—
1574C2×D4—5682no—
1575C2×D4—5682no—
1576C2×D4—711no—
1577C2×D4—711no—
1578C2×D4—711no—
1579C2×D4—711no—
1580C2×D4—711no—
1581C2×D4—711no—
1582C2×D4—711no—
1583C2×D4—711no—
1584C2×D4—711no—
1585C2×D4—711no—
1586C2×D4—711no—
1587C2×D4—711no—
1588C2×D4—1421no—
1589C2×D4—1421no—
1590C2×D4—1421no—
1591C2×D4—1421no—
1592C2×D4—1421no—
1593C2×D4—1421no—
1594C2×D4—1421no—
1595C2×D4—1422no—
1596C2×D4—1422no—
1597C2×D4—1422no—
1598C2×D4—1422no—
1599C2×D4—1422no—
1600C2×D4—1422no—
1601C2×D4—1421no—
1602C2×D4—1421no—
1603C2×D4—1421no—
1604C2×D4—1421no—
1605C2×D4—1421no—
1606C2×D4—1421no—
1607C2×D4—1421no—
1608C2×D4—1421no—
1609C2×D4—1421no—
1610C2×D4—1421no—
1611C2×D4—1421no—
1612C2×D4—1421no—
1613C2×D4—1421no—
1614C2×D4—1421no—
1615C2×D4—1421no—
1616C2×D4—1421no—
1617C2×D4—1421no—
1618C2×D4—1421no—
1619C2×D4—1421no—
1620C2×D4—1421no—
1621C2×D4D4×D7111yescharacteristic
1622C2×D4D4×D7111yescharacteristic
1623C2×D4D4×D7111yescharacteristic
1624C2×D4C23×D7111yescharacteristic
1625C2×D4C23×D7111yescharacteristic
1626C2×D4C23×D7111yescharacteristic
1627C22×C4—21no—
1628C22×C4—21no—
1629C22×C4—2844no—
1630C22×C4—5682no—
1631C22×C4—711no—
1632C22×C4—711no—
1633C22×C4—711no—
1634C22×C4—711no—
1635C22×C4—711no—
1636C22×C4—711no—
1637C22×C4—711no—
1638C22×C4—711no—
1639C22×C4—711no—
1640C22×C4—711no—
1641C22×C4—711no—
1642C22×C4—711no—
1643C22×C4—711no—
1644C22×C4—1421no—
1645C22×C4—1421no—
1646C22×C4—1421no—
1647C22×C4—1421no—
1648C22×C4—1421no—
1649C22×C4—1421no—
1650C22×C4—1421no—
1651C22×C4—1421no—
1652C22×C4—1422no—
1653C22×C4—1422no—
1654C22×C4—1422no—
1655C22×C4—1422no—
1656C22×C4—1422no—
1657C22×C4—1422no—
1658C22×C4—1421no—
1659C22×C4—1421no—
1660C22×C4—1421no—
1661C22×C4C23×D7111yescharacteristic
1662C22×C4C23×D7111yescharacteristic
1663C22×C4C23×D7111yescharacteristic
1664SD16—41no—
1665SD16—41no—
1666SD16—2841no—
1667SD16—2841no—
1668SD16—2841no—
1669SD16—2841no—
1670SD16—2841no—
1671SD16—2841no—
1672D8—41no—
1673D8—41no—
1674D8—2841no—
1675D8—2841no—
1676D8—2841no—
1677D8—2841no—
1678D8—2841no—
1679D8—2841no—
1680M16—41no—
1681M16—2841no—
1682M16—2841no—
1683M16—2841no—
1684C2×C8—41no—
1685C2×C8—2841no—
1686C2×C8—2841no—
1687C2×C8—2841no—
1688C2×C8—711no—
1689C2×C8—711no—
1690C2×C8—711no—
1691C2×C8—711no—
1692C2×C8—1422no—
1693C2×C8—1422no—
1694C2×C8—1422no—
1695C2×C8—1422no—
1696C2×C8C23×D7111yescharacteristic
1697C2×C8C23×D7111yescharacteristic
1698C2×C8C23×D7111yescharacteristic
1699C2×C8C23×D7111yescharacteristic
1700C4⋊C4—21no—
1701C4⋊C4—21no—
1702C4⋊C4—21no—
1703C4⋊C4—711no—
1704C4⋊C4—711no—
1705C4⋊C4—711no—
1706C4⋊C4—711no—
1707C4⋊C4—1421no—
1708C4⋊C4—1421no—
1709C4⋊C4—1421no—
1710C4⋊C4—1421no—
1711C4⋊C4—1421no—
1712C4⋊C4—1421no—
1713C4⋊C4—1421no—
1714C4⋊C4—1421no—
1715C4⋊C4—1421no—
1716C4⋊C4—1421no—
1717C4⋊C4—1421no—
1718C4⋊C4—1421no—
1719C4⋊C4—1421no—
1720C4⋊C4C23×D7111yescharacteristic
1721C4⋊C4C23×D7111yescharacteristic
1722C4⋊C4C23×D7111yescharacteristic
1723C4⋊C4C23×D7111yescharacteristic
1724C22⋊C4—21no—
1725C22⋊C4—21no—
1726C22⋊C4—21no—
1727C22⋊C4—21no—
1728C22⋊C4—21no—
1729C22⋊C4—21no—
1730C22⋊C4—21no—
1731C22⋊C4—21no—
1732C22⋊C4—21no—
1733C22⋊C4—1421no—
1734C22⋊C4—1421no—
1735C22⋊C4—1421no—
1736C22⋊C4—1421no—
1737C22⋊C4—1421no—
1738C22⋊C4—1421no—
1739C22⋊C4—1421no—
1740C22⋊C4—1421no—
1741C22⋊C4—1421no—
1742C22⋊C4—1421no—
1743C22⋊C4—1421no—
1744C22⋊C4—1421no—
1745C22⋊C4—1421no—
1746C22⋊C4—1421no—
1747C22⋊C4—1421no—
1748C22⋊C4—1421no—
1749C22⋊C4—1421no—
1750C22⋊C4—1421no—
1751C22⋊C4—1421no—
1752C22⋊C4—1421no—
1753C22⋊C4—1421no—
1754C22⋊C4—1421no—
1755C22⋊C4—1421no—
1756C22⋊C4—1421no—
1757C22⋊C4—1421no—
1758C22⋊C4—1421no—
1759C22⋊C4—1421no—
1760C42—21no—
1761C42—1421no—
1762C42—1421no—
1763C42—1421no—
1764C23—21no—
1765C23—21no—
1766C23—21no—
1767C23—42no—
1768C23—81no—
1769C23—81no—
1770C23—2842no—
1771C23—2842no—
1772C23—2842no—
1773C23—2842no—
1774C23—2842no—
1775C23—2842no—
1776C23—2842no—
1777C23—2842no—
1778C23—2842no—
1779C23—2842no—
1780C23—2842no—
1781C23—2842no—
1782C23—5681no—
1783C23—5681no—
1784C23—5681no—
1785C23—5681no—
1786C23—5681no—
1787C23—5681no—
1788C23—56816no—
1789C23—711no—
1790C23—711no—
1791C23—711no—
1792C23—711no—
1793C23—1422no—
1794C23—1422no—
1795C23—1422no—
1796C23—1422no—
1797C23—1422no—
1798C23—1422no—
1799C23—1422no—
1800C23—1422no—
1801C23—1422no—
1802C23—1421no—
1803C23—1421no—
1804C23—1421no—
1805C23C2×D4×D7111yescharacteristic
1806C23C2×D4×D7111yescharacteristic
1807C23C2×D4×D7111yescharacteristic
1808Q8—21no—
1809Q8—21no—
1810Q8—41no—
1811Q8—2841no—
1812Q8—2841no—
1813Q8—2841no—
1814Q8—2842no—
1815Q8—1421no—
1816Q8—1421no—
1817D4—21no—
1818D4—21no—
1819D4—21no—
1820D4—21no—
1821D4—21no—
1822D4—21no—
1823D4—41no—
1824D4—41no—
1825D4—41no—
1826D4—42no—
1827D4—42no—
1828D4—81no—
1829D4—81no—
1830D4—81no—
1831D4—81no—
1832D4—81no—
1833D4—81no—
1834D4—2842no—
1835D4—2841no—
1836D4—2841no—
1837D4—2841no—
1838D4—2842no—
1839D4—2842no—
1840D4—2842no—
1841D4—2842no—
1842D4—2842no—
1843D4—2842no—
1844D4—2841no—
1845D4—2841no—
1846D4—2841no—
1847D4—2841no—
1848D4—2841no—
1849D4—2841no—
1850D4—2842no—
1851D4—2842no—
1852D4—5681no—
1853D4—5681no—
1854D4—5681no—
1855D4—5681no—
1856D4—5681no—
1857D4—5681no—
1858D4—5681no—
1859D4—5681no—
1860D4—5681no—
1861D4—5681no—
1862D4—5681no—
1863D4—5681no—
1864D4—5681no—
1865D4—5681no—
1866D4—5681no—
1867D4—5681no—
1868D4—5681no—
1869D4—5681no—
1870D4—1421no—
1871D4—1421no—
1872D4—1421no—
1873D4—1421no—
1874D4—1421no—
1875D4—1421no—
1876C2×C4—21no—
1877C2×C4—21no—
1878C2×C4—21no—
1879C2×C4—21no—
1880C2×C4—21no—
1881C2×C4—21no—
1882C2×C4—21no—
1883C2×C4—21no—
1884C2×C4—21no—
1885C2×C4—21no—
1886C2×C4—21no—
1887C2×C4—42no—
1888C2×C4—81no—
1889C2×C4—2842no—
1890C2×C4—2842no—
1891C2×C4—2842no—
1892C2×C4—2842no—
1893C2×C4—2842no—
1894C2×C4—2842no—
1895C2×C4—2842no—
1896C2×C4—2842no—
1897C2×C4—5681no—
1898C2×C4—5681no—
1899C2×C4—5681no—
1900C2×C4—711no—
1901C2×C4—712no—
1902C2×C4—712no—
1903C2×C4—711no—
1904C2×C4—711no—
1905C2×C4—711no—
1906C2×C4—1422no—
1907C2×C4—1422no—
1908C2×C4—1422no—
1909C2×C4—1422no—
1910C2×C4—1422no—
1911C2×C4—1422no—
1912C2×C4—1421no—
1913C2×C4—1421no—
1914C2×C4—1421no—
1915C2×C4—1421no—
1916C2×C4—1421no—
1917C2×C4—1422no—
1918C2×C4—1422no—
1919C2×C4—1422no—
1920C2×C4—1421no—
1921C2×C4—1421no—
1922C2×C4—1421no—
1923C2×C4—1421no—
1924C2×C4—1421no—
1925C2×C4—1421no—
1926C2×C4C2×D4×D7111yescharacteristic
1927C2×C4C2×D4×D7111yescharacteristic
1928C2×C4C2×D4×D7111yescharacteristic
1929C2×C4C24×D7111yescharacteristic
1930C8—21no—
1931C8—21no—
1932C8—21no—
1933C8—21no—
1934C8—1421no—
1935C8—1421no—
1936C8—1421no—
1937C8—1421no—
1938C22—21no—
1939C22—21no—
1940C22—21no—
1941C22—21no—
1942C22—21no—
1943C22—21no—
1944C22—21no—
1945C22—21no—
1946C22—21no—
1947C22—41no—
1948C22—41no—
1949C22—41no—
1950C22—41no—
1951C22—41no—
1952C22—41no—
1953C22—41no—
1954C22—41no—
1955C22—41no—
1956C22—84no—
1957C22—2844no—
1958C22—2844no—
1959C22—2844no—
1960C22—2841no—
1961C22—2841no—
1962C22—2841no—
1963C22—2841no—
1964C22—2841no—
1965C22—2841no—
1966C22—2841no—
1967C22—2841no—
1968C22—2841no—
1969C22—5684no—
1970C22—5684no—
1971C22—5684no—
1972C22—5684no—
1973C22—5684no—
1974C22—5684no—
1975C22—712no—
1976C22—712no—
1977C22—712no—
1978C22—1421no—
1979C22—1421no—
1980C22—1421no—
1981C22—1421no—
1982C22—1421no—
1983C22—1421no—
1984C22—1421no—
1985C22—1421no—
1986C22—1421no—
1987C22C22×D4×D7111yescharacteristic
1988C4—21no—
1989C4—21no—
1990C4—21no—
1991C4—41no—
1992C4—41no—
1993C4—41no—
1994C4—41no—
1995C4—41no—
1996C4—2841no—
1997C4—2841no—
1998C4—2841no—
1999C4—2841no—
2000C4—2841no—
2001C4—712no—
2002C4—1421no—
2003C4—1421no—
2004C4—1421no—
2005C4H(5,𝔽2)×D7111yescharacteristic
2006C4H(5,𝔽2)×D7111yescharacteristic
2007C2—41no—
2008C2—41no—
2009C2—41no—
2010C2—81no—
2011C2—81no—
2012C2—81no—
2013C2—2841no—
2014C2—2841no—
2015C2—2841no—
2016C2—5681no—
2017C2—5681no—
2018C2—5681no—
2019C2—714no—
2020C2#534×D7111yescharacteristic
2021C2#576×D7111yescharacteristic
2022C2#577×D7111yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3198C2
socleC22×C71C23×D4
hypercenter#3198D71
hypocenterC71C2×#3198
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3198

Complements

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

NH ≅ G/Ntype
1. #537×D71C2semidirect
2. #535×D71C2semidirect
3. #22599199C2semidirect
4. #22599198C2semidirect
5. #22599197C2semidirect
6. #22599196C2semidirect
7. #22599195C2semidirect
8. #22599194C2semidirect
9. #22599193C2semidirect
10. #22599192C2semidirect
11. #22599191C2semidirect
12. #22599190C2semidirect
13. #22599189C2semidirect
14. #22599188C2semidirect
15. #22599187C2semidirect
16. #22599186C2semidirect
17. #22599185C2semidirect
18. #481×D71C2semidirect
19. #485×D71C2semidirect
20. #482×D71C2semidirect
21. #480×D71C2semidirect
22. #469×D71C2semidirect
23. #468×D71C2semidirect
24. #466×D71C2semidirect
25. #465×D71C2semidirect
26. #449×D71C2semidirect
27. #449×D71C2semidirect
28. #450×D71C2semidirect
29. #447×D71C2semidirect
30. #408×D71C2semidirect
31. C71×#3198C2semidirect
33. C2×#41×D71C22semidirect
39. C2×M16×D71C22semidirect
40. C22×C8×D71C22semidirect
41. #17986580C22semidirect
43. #17986579C22semidirect
44. #17986579C22semidirect
46. #17986578C22semidirect
47. #17986578C22semidirect
48. #17986577C22semidirect
49. #17986577C22semidirect
52. #17986568C22semidirect
54. #17986566C22semidirect
55. #17986565C22semidirect
56. #17986565C22semidirect
57. #17986565C22semidirect
58. #17986565C22semidirect
61. #17986563C22semidirect
67. C22⋊Q8×D71C22semidirect
76. #121×D71C22semidirect
80. C2×C4⋊C4×D71C22semidirect
81. #17986343C22semidirect
82. #17986342C22semidirect
83. #17986341C22semidirect
84. #17986340C22semidirect
85. #17986339C22semidirect
86. #17986338C22semidirect
87. #17986337C22semidirect
88. #17986326C22semidirect
89. #17986325C22semidirect
90. #17986324C22semidirect
91. #17986323C22semidirect
92. #17986322C22semidirect
93. #17986321C22semidirect
94. #17986320C22semidirect
95. #17986319C22semidirect
96. #17986319C22semidirect
97. #17986318C22semidirect
98. #17986317C22semidirect
99. #17986316C22semidirect
100. #17986316C22semidirect
101. #17986315C22semidirect
102. #17986314C22semidirect
103. #17986314C22semidirect
104. #17986313C22semidirect
105. #17986312C22semidirect
106. #17986311C22semidirect
107. #17986311C22semidirect
108. #17986310C22semidirect
109. #17986253C22semidirect
110. #17986252C22semidirect
111. #17986251C22semidirect
112. #17986251C22semidirect
113. #17986250C22semidirect
114. #17986250C22semidirect
115. #17986249C22semidirect
116. #17986248C22semidirect
117. #17986247C22semidirect
118. #17986246C22semidirect
119. #17986245C22semidirect
120. #17986244C22semidirect
121. #17986243C22semidirect
122. #17986242C22semidirect
123. #17986236C22semidirect
124. #17986235C22semidirect
125. #17986234C22semidirect
126. #17986234C22semidirect
127. #17986233C22semidirect
128. #17986233C22semidirect
129. #17986232C22semidirect
130. #17986231C22semidirect
131. #17986230C22semidirect
132. #17986229C22semidirect
133. #17986228C22semidirect
134. #17986227C22semidirect
135. #17986226C22semidirect
136. #17986225C22semidirect
137. #17986152C22semidirect
138. #17986151C22semidirect
139. #17986151C22semidirect
140. #17986150C22semidirect
141. #17986149C22semidirect
142. #17986148C22semidirect
143. #17986148C22semidirect
144. #17986147C22semidirect
145. #17986147C22semidirect
146. #17986146C22semidirect
147. #17986146C22semidirect
148. #17986145C22semidirect
149. #17986145C22semidirect
150. #17986144C22semidirect
151. #17986144C22semidirect
152. #17986143C22semidirect
153. #17986143C22semidirect
154. #17986142C22semidirect
155. #17986142C22semidirect
156. #17986141C22semidirect
157. #17986141C22semidirect
158. #17986135C22semidirect
159. #17986134C22semidirect
160. #17986134C22semidirect
161. #17986133C22semidirect
162. #17986132C22semidirect
163. #17986131C22semidirect
164. #17986131C22semidirect
165. #107×D71C22semidirect
166. #107×D71C22semidirect
167. #106×D71C22semidirect
168. #106×D71C22semidirect
169. #103×D71C22semidirect
170. #103×D71C22semidirect
175. #102×D71C22semidirect
176. #102×D71C22semidirect
177. #17985967C22semidirect
178. #17985966C22semidirect
179. #17985965C22semidirect
180. #17985964C22semidirect
181. #17985964C22semidirect
182. #17985964C22semidirect
183. #17985964C22semidirect
186. C22⋊C8×D71C22semidirect
187. C22⋊C8×D71C22semidirect
188. #537×C71C22semidirect
189. #535×C71C22semidirect
190. #485×C71C22semidirect
191. #482×C71C22semidirect
192. #481×C71C22semidirect
193. #480×C71C22semidirect
194. #469×C71C22semidirect
195. #468×C71C22semidirect
196. #466×C71C22semidirect
197. #465×C71C22semidirect
198. #450×C71C22semidirect
199. #449×C71C22semidirect
200. #449×C71C22semidirect
201. #447×C71C22semidirect
202. #408×C71C22semidirect
205. C2×#11765866C23semidirect
210. C2×#11765865C23semidirect
215. C2×#11765864C23semidirect
264. C2×#11765849C23semidirect
265. C2×#11765848C23semidirect
266. C2×#11765848C23semidirect
268. C22×C71⋊C8C23semidirect
274. C2×C8×D71C23semidirect
275. C2×C8×D71C23semidirect
292. #14556108C23semidirect
295. #14556107C23semidirect
306. #14556104C23semidirect
315. #14556103C23semidirect
324. #14556102C23semidirect
357. #14556099C23semidirect
377. C2×C4⋊Dic71C23semidirect
387. C4⋊C4×D71C23semidirect
388. 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. #14556051C23semidirect
416. #14556051C23semidirect
421. #14556050C23semidirect
422. #14556050C23semidirect
427. #14556049C23semidirect
428. #14556049C23semidirect
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. C2×#41×C71C23semidirect
454. C2×M16×C71C23semidirect
455. C22×C8×C71C23semidirect
460. C22⋊Q8×C71C23semidirect
469. #121×C71C23semidirect
473. C2×C4⋊C4×C71C23semidirect
474. #107×C71C23semidirect
475. #107×C71C23semidirect
476. #106×C71C23semidirect
477. #106×C71C23semidirect
478. #103×C71C23semidirect
479. #103×C71C23semidirect
484. #102×C71C23semidirect
485. #102×C71C23semidirect
488. C22⋊C8×C71C23semidirect
489. C22⋊C8×C71C23semidirect
1011. D71#3198direct (N × H)
1029. #3198D71direct (N × H)
1043. C71C2×#3198semidirect
1064. #537C2×D71semidirect
1076. #535C2×D71semidirect
1102. #485C2×D71semidirect
1110. #482C2×D71semidirect
1118. #481C2×D71semidirect
1126. #480C2×D71semidirect
1134. #469C2×D71semidirect
1142. #468C2×D71semidirect
1150. #466C2×D71semidirect
1158. #465C2×D71semidirect
1166. #450C2×D71semidirect
1181. #449C2×D71semidirect
1182. #449C2×D71semidirect
1190. #447C2×D71semidirect
1210. #408C2×D71semidirect
1233. C2×#41C22×D71semidirect
1287. C2×M16C22×D71semidirect
1296. C22×C8C22×D71semidirect
1332. C22⋊Q8C22×D71semidirect
1392. #121C22×D71semidirect
1427. C2×C4⋊C4C22×D71semidirect
1444. #107C22×D71semidirect
1445. #107C22×D71semidirect
1452. #106C22×D71semidirect
1453. #106C22×D71semidirect
1460. #103C22×D71semidirect
1461. #103C22×D71semidirect
1484. #102C22×D71semidirect
1485. #102C22×D71semidirect
1500. C22⋊C8C22×D71semidirect
1501. C22⋊C8C22×D71semidirect

Maximal subgroups

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

subgroupindex
#537×D712
#535×D712
#225991992
#225991982
#225991972
#225991962
#225991952
#225991942
#225991932
#225991922
#225991912
#225991902
#225991892
#225991882
#225991872
#225991862
#225991852
#481×D712
#485×D712
#482×D712
#480×D712
#469×D712
#468×D712
#466×D712
#465×D712
#449×D712
#450×D712
#447×D712
#408×D712
C71×#31982
C2×#319871