Finite Group Databasebeta

← #32868276

Subgroups — #32868276

Order 18176.

2378 conjugacy classes of subgroups.

The subgroup lattice has 2044 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22602007C211yesmaximal, characteristic, complemented
2#535×D71C211yesmaximal, characteristic, complemented
3#22599204C211yesmaximal, characteristic, complemented
4#22599203C211yesmaximal, characteristic, complemented
5#22599201C211yesmaximal, characteristic, complemented
6#22599194C211yesmaximal, characteristic, complemented
7#22599192C211yesmaximal, characteristic, complemented
8#22599190C211yesmaximal, characteristic, complemented
9#22599188C211yesmaximal, characteristic, complemented
10#22599158C211yesmaximal, characteristic, complemented
11#22599149C211yesmaximal, characteristic, complemented
12#22599138C211yesmaximal, characteristic, complemented
13#22599136C211yesmaximal, characteristic, complemented
14#22599109C211yesmaximal, characteristic, complemented
15#22599100C211yesmaximal, characteristic, complemented
16#22599089C211yesmaximal, characteristic, complemented
17#22599087C211yesmaximal, characteristic, complemented
18#22598295C211yesmaximal, characteristic, complemented
19#22598293C211yesmaximal, characteristic, complemented
20#22598279C211yesmaximal, characteristic, complemented
21#22598252C211yesmaximal, characteristic, complemented
22#22598019C211yesmaximal, characteristic, complemented
23#22598017C211yesmaximal, characteristic, complemented
24#22597986C211yesmaximal, characteristic, complemented
25#22597983C211yesmaximal, characteristic, complemented
26#22597603C211yesmaximal, characteristic, complemented
27#22597603C211yesmaximal, characteristic, complemented
28#22597564C211yesmaximal, characteristic, complemented
29#447×D71C211yesmaximal, characteristic, complemented
30#22596788C211yesmaximal, characteristic, complemented
31C71×#3199C211yesmaximal, characteristic, complemented
32C2×#14556173C2211yescharacteristic, complemented
33C2×#41×D71C2211yescharacteristic
34C22×D4×D71C2211yescharacteristic, complemented
35C2×#14556152C2211yescharacteristic, complemented
36C2×#14556152C2211yescharacteristic, complemented
37C2×D8×D71C2211yescharacteristic, complemented
38C2×D8×D71C2211yescharacteristic, complemented
39C2×#14556136C2211yescharacteristic, complemented
40C2×#14556134C2211yescharacteristic, complemented
41#17986669—21no—
42#17986657—21no—
43#17986642—21no—
44#17986636—21no—
45#17986636—21no—
46#17986634—21no—
47#17986631—21no—
48#17986631—21no—
49#17986578C2211yescharacteristic, complemented
50#17986578C2211yescharacteristic, complemented
51#17986577C2211yescharacteristic, complemented
52#17986568C2211yescharacteristic, complemented
53#17986567—21no—
54#17986566C2211yescharacteristic, complemented
55#17986565C2211yescharacteristic
56#17986565C2211yescharacteristic
57#17986565C2211yescharacteristic, complemented
58#17986565C2211yescharacteristic, complemented
59#17986565C2211yescharacteristic, complemented
60#17986565C2211yescharacteristic, complemented
61#17986564—21no—
62#17986564—21no—
63#17986563C2211yescharacteristic, complemented
64#17986562—21no—
65#127×D71—21no—
66#124×D71—21no—
67#17986511C2211yescharacteristic, complemented
68#17986509C2211yescharacteristic
69#17986509C2211yescharacteristic, complemented
70C2×#14556099C2211yescharacteristic, complemented
71#121×D71C2211yescharacteristic
72#121×D71C2211yescharacteristic, complemented
73#121×D71C2211yescharacteristic, complemented
74#121×D71C2211yescharacteristic, complemented
75#121×D71C2211yescharacteristic, complemented
76#121×D71C2211yescharacteristic, complemented
77#120×D71—21no—
78#120×D71—21no—
79#17986479C2211yescharacteristic, complemented
80#117×D71C2211yescharacteristic, complemented
81#17986341C2211yescharacteristic, complemented
82#17986340C2211yescharacteristic, complemented
83#17986336C2211yescharacteristic, complemented
84#17986331C2211yescharacteristic, complemented
85#17986326C2211yescharacteristic, complemented
86#17986325C2211yescharacteristic, complemented
87#17986324C2211yescharacteristic, complemented
88#17986323C2211yescharacteristic, complemented
89#17986323C2211yescharacteristic, complemented
90#17986323C2211yescharacteristic, complemented
91#17986322C2211yescharacteristic, complemented
92#17986321C2211yescharacteristic, complemented
93#17986320C2211yescharacteristic, complemented
94#17986320C2211yescharacteristic, complemented
95#17986319C2211yescharacteristic, complemented
96#17986319C2211yescharacteristic, complemented
97#17986318C2211yescharacteristic, complemented
98#17986316C2211yescharacteristic, complemented
99#17986316C2211yescharacteristic, complemented
100#17986316C2211yescharacteristic, complemented
101#17986315C2211yescharacteristic, complemented
102#17986314C2211yescharacteristic, complemented
103#17986314C2211yescharacteristic, complemented
104#17986313C2211yescharacteristic, complemented
105#17986311C2211yescharacteristic, complemented
106#17986311C2211yescharacteristic, complemented
107#17986311C2211yescharacteristic, complemented
108#17986310C2211yescharacteristic, complemented
109#17986253C2211yescharacteristic, complemented
110#17986252C2211yescharacteristic, complemented
111#17986251C2211yescharacteristic, complemented
112#17986251C2211yescharacteristic, complemented
113#17986251C2211yescharacteristic, complemented
114#17986250C2211yescharacteristic, complemented
115#17986250C2211yescharacteristic, complemented
116#17986250C2211yescharacteristic, complemented
117#17986249C2211yescharacteristic, complemented
118#17986249C2211yescharacteristic, complemented
119#17986246C2211yescharacteristic, complemented
120#17986245C2211yescharacteristic, complemented
121#17986244C2211yescharacteristic, complemented
122#17986243C2211yescharacteristic, complemented
123#17986236C2211yescharacteristic, complemented
124#17986235C2211yescharacteristic, complemented
125#17986234C2211yescharacteristic, complemented
126#17986234C2211yescharacteristic, complemented
127#17986234C2211yescharacteristic, complemented
128#17986233C2211yescharacteristic, complemented
129#17986233C2211yescharacteristic, complemented
130#17986233C2211yescharacteristic, complemented
131#17986232C2211yescharacteristic, complemented
132#17986232C2211yescharacteristic, complemented
133#17986229C2211yescharacteristic, complemented
134#17986228C2211yescharacteristic, complemented
135#17986227C2211yescharacteristic, complemented
136#17986226C2211yescharacteristic, complemented
137#17986152C2211yescharacteristic, complemented
138#17986151C2211yescharacteristic, complemented
139#17986151C2211yescharacteristic, complemented
140#17986150C2211yescharacteristic, complemented
141#17986146C2211yescharacteristic, complemented
142#17986146C2211yescharacteristic, complemented
143#17986145C2211yescharacteristic, complemented
144#17986145C2211yescharacteristic, complemented
145#17986142C2211yescharacteristic, complemented
146#17986142C2211yescharacteristic, complemented
147#17986141C2211yescharacteristic, complemented
148#17986141C2211yescharacteristic, complemented
149#17986135C2211yescharacteristic, complemented
150#17986134C2211yescharacteristic, complemented
151#17986134C2211yescharacteristic, complemented
152#17986134C2211yescharacteristic, complemented
153#17986134C2211yescharacteristic, complemented
154#17986133C2211yescharacteristic, complemented
155#17986133C2211yescharacteristic, complemented
156#17986133C2211yescharacteristic, complemented
157#17986132C2211yescharacteristic, complemented
158#17986132C2211yescharacteristic, complemented
159#17986131C2211yescharacteristic, complemented
160#17986131C2211yescharacteristic, complemented
161#17986131C2211yescharacteristic, complemented
162#17986131C2211yescharacteristic, complemented
163#17986131C2211yescharacteristic, complemented
164#17986131C2211yescharacteristic, complemented
165#17986040C2211yescharacteristic, complemented
166#17986038C2211yescharacteristic, complemented
167#17986036C2211yescharacteristic, complemented
168#17986034C2211yescharacteristic, complemented
169#17986002C2211yescharacteristic, complemented
170#17986002C2211yescharacteristic, complemented
171#17986002C2211yescharacteristic, complemented
172#17986002C2211yescharacteristic, complemented
173#17985992C2211yescharacteristic, complemented
174#17985992C2211yescharacteristic, 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, complemented
184#17985961C2211yescharacteristic, complemented
185C2×(C2×D71)⋊C8C2211yescharacteristic, complemented
186C22⋊C8×D71C2211yescharacteristic, complemented
187C22⋊C8×D71C2211yescharacteristic, complemented
188#535×C71C2211yescharacteristic, complemented
189#535×C71C2211yescharacteristic, complemented
190#482×C71C2211yescharacteristic, complemented
191#482×C71C2211yescharacteristic, complemented
192#482×C71C2211yescharacteristic, complemented
193#482×C71C2211yescharacteristic, complemented
194#469×C71C2211yescharacteristic, complemented
195#469×C71C2211yescharacteristic, complemented
196#466×C71C2211yescharacteristic, complemented
197#466×C71C2211yescharacteristic, complemented
198#447×C71C2211yescharacteristic, complemented
199#447×C71C2211yescharacteristic, complemented
200#447×C71C2211yescharacteristic, complemented
201#447×C71C2211yescharacteristic, complemented
202#408×C71C2211yescharacteristic, complemented
203C24×D71—21no—
204#14556173—42no—
205#14556173—42no—
206C2×#11765866D411yescharacteristic
207C2×#11765865C2311yescharacteristic
208C2×#11765865C2311yescharacteristic
209C2×#11765865C2311yescharacteristic
210C2×#11765865C2311yescharacteristic, complemented
211C2×#11765864—21no—
212C2×#11765864D411yescharacteristic
213C2×#11765864D411yescharacteristic
214C2×#11765864D411yescharacteristic
215C2×#11765864C2311yescharacteristic
216C2×#11765864C2311yescharacteristic, complemented
217#41×D71—42no—
218#41×D71—42no—
219C2×Q8×D71D411yescharacteristic
220C22×D284C2311yescharacteristic
221C22×C22⋊D71—21no—
222C22×C22⋊D71—21no—
223C22×C22⋊D71—21no—
224C22×C22⋊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—21no—
234C2×D4×D71—42no—
235C2×D4×D71—42no—
236C2×D4×D71D411yescharacteristic
237C2×D4×D71D411yescharacteristic
238C2×D4×D71D411yescharacteristic
239C2×D4×D71C2311yescharacteristic
240C2×D4×D71C2311yescharacteristic
241C2×D4×D71C2311yescharacteristic
242C2×D4×D71C2311yescharacteristic
243C2×D4×D71C2311yescharacteristic
244C2×D4×D71C2311yescharacteristic, complemented
245C22×C4×D71C2311yescharacteristic
246C22×C4×D71C2311yescharacteristic
247C22×C4×D71C2311yescharacteristic
248#14556152—42no—
249#14556152—42no—
250C2×#11765854C2311yescharacteristic
251C2×#11765854C2311yescharacteristic
252C2×#11765853C2311yescharacteristic
253C2×#11765853C2311yescharacteristic
254C2×D568C2311yescharacteristic
255C2×D568C2311yescharacteristic
256C2×#11765850C2311yescharacteristic
257C2×#11765850C2311yescharacteristic
258C2×#11765850C2311yescharacteristic
259C2×#11765850C2311yescharacteristic
260C2×#11765850C2311yescharacteristic
261C2×#11765850C2311yescharacteristic
262D8×D71—42no—
263D8×D71—42no—
264#14556136—42no—
265#14556134—42no—
266C2×#11765849C2311yescharacteristic, complemented
267C2×#11765848C2311yescharacteristic
268C2×#11765848C2311yescharacteristic
269C2×#11765848C2311yescharacteristic, complemented
270C2×#11765848C2311yescharacteristic, complemented
271C22×C71⋊C8C2311yescharacteristic, complemented
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#14556124—21no—
284#14556124—21no—
285#14556117—21no—
286#14556116—21no—
287#14556115—21no—
288#14556114—21no—
289#14556114—21no—
290#14556114—21no—
291#14556114—21no—
292#14556114—21no—
293#14556114—21no—
294#14556112—21no—
295#14556110—21no—
296#14556110—21no—
297#14556108C2311yescharacteristic
298#14556108C2311yescharacteristic, complemented
299#14556107C2311yescharacteristic
300#14556107C2311yescharacteristic, complemented
301#14556105—21no—
302#14556105—21no—
303#14556104—21no—
304#14556103C2311yescharacteristic
305#14556103C2311yescharacteristic
306#14556103C2311yescharacteristic
307#14556103C2311yescharacteristic
308#14556103C2311yescharacteristic
309#14556103C2311yescharacteristic, complemented
310#14556102C2311yescharacteristic
311#14556102C2311yescharacteristic
312#14556102C2311yescharacteristic
313#14556102C2311yescharacteristic
314#14556102C2311yescharacteristic
315#14556102C2311yescharacteristic, complemented
316#14556101—21no—
317#14556101—21no—
318#14556101—21no—
319#14556101—21no—
320#14556101—21no—
321#14556101—21no—
322#14556101—21no—
323#14556101—21no—
324#14556100—21no—
325#14556100—21no—
326#14556100—21no—
327#14556100—21no—
328#14556100—21no—
329#14556100—21no—
330#14556100—21no—
331#14556100—21no—
332#14556100—21no—
333#14556100—21no—
334#14556099—21no—
335#14556099—21no—
336#14556099—21no—
337#14556099—21no—
338#14556099—21no—
339#14556099C2311yescharacteristic
340#14556099C2311yescharacteristic
341#14556099C2311yescharacteristic
342#14556099C2311yescharacteristic
343#14556099C2311yescharacteristic
344#14556099C2311yescharacteristic
345#14556099C2311yescharacteristic, complemented
346#14556099C2311yescharacteristic, complemented
347#14556098—21no—
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#14556097—21no—
357#14556097—21no—
358#14556096—21no—
359#14556096—21no—
360#14556096—21no—
361#14556096—21no—
362#14556096—21no—
363#14556096—21no—
364#14556096—21no—
365#14556096—21no—
366#14556096—21no—
367#14556096—21no—
368C4×Dic142—21no—
369C4×D284—21no—
370C4×D284—21no—
371C4×D284—21no—
372D4×Dic71—21no—
373D4×Dic71—21no—
374(C22⋊D71)⋊C4—21no—
375(C22⋊D71)⋊C4—21no—
376(C22⋊D71)⋊C4—21no—
377(C22⋊D71)⋊C4—21no—
378#14556087C2311yescharacteristic
379#14556086C2311yescharacteristic
380#14556086C2311yescharacteristic
381#14556086C2311yescharacteristic
382#14556086C2311yescharacteristic, complemented
383#14556085—21no—
384#14556084—21no—
385C2×C4⋊Dic71C2311yescharacteristic, complemented
386C4⋊C4×D71C2311yescharacteristic
387C4⋊C4×D71C2311yescharacteristic
388C4⋊C4×D71C2311yescharacteristic
389C4⋊C4×D71C2311yescharacteristic, complemented
390C2×C22⋊Dic71—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#14556051C2311yescharacteristic, complemented
414#14556051C2311yescharacteristic, complemented
415#14556050C2311yescharacteristic
416#14556050C2311yescharacteristic
417#14556050C2311yescharacteristic
418#14556050C2311yescharacteristic
419#14556050C2311yescharacteristic, complemented
420#14556050C2311yescharacteristic, complemented
421#14556049C2311yescharacteristic
422#14556049C2311yescharacteristic
423#14556049C2311yescharacteristic
424#14556049C2311yescharacteristic
425#14556049C2311yescharacteristic, complemented
426#14556049C2311yescharacteristic, complemented
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
448C22×D4×C71C2311yescharacteristic
449C22×D4×C71C2311yescharacteristic, complemented
450C2×D8×C71C2311yescharacteristic
451C2×D8×C71C2311yescharacteristic
452C2×D8×C71C2311yescharacteristic
453C2×D8×C71C2311yescharacteristic
454C2×M16×C71C2311yescharacteristic, complemented
455C22×C8×C71C2311yescharacteristic, complemented
456#127×C71—21no—
457#127×C71—21no—
458#124×C71—21no—
459#124×C71—21no—
460#121×C71C2311yescharacteristic
461#121×C71C2311yescharacteristic
462#121×C71C2311yescharacteristic
463#121×C71C2311yescharacteristic
464#121×C71C2311yescharacteristic
465#121×C71C2311yescharacteristic
466#121×C71C2311yescharacteristic, complemented
467#121×C71C2311yescharacteristic, complemented
468#120×C71—21no—
469#120×C71—21no—
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#102×C71C2311yescharacteristic
479#102×C71C2311yescharacteristic
480#102×C71C2311yescharacteristic
481#102×C71C2311yescharacteristic
482#102×C71C2311yescharacteristic, complemented
483#102×C71C2311yescharacteristic, complemented
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—21no—
497C23×D71—44no—
498C23×D71—82no—
499C23×D71—82no—
500C23×D71C2×D411yescharacteristic
501C23×D71C2×D411yescharacteristic
502C23×D71C2×D411yescharacteristic
503#11765866—42no—
504#11765865—22no—
505#11765865—22no—
506#11765865—22no—
507#11765865—22no—
508#11765865—41no—
509#11765865—41no—
510#11765865—41no—
511#11765865—41no—
512#11765864—22no—
513#11765864—22no—
514#11765864—41no—
515#11765864—41no—
516#11765864—42no—
517#11765864—42no—
518#11765864—44no—
519#11765864—42no—
520C2×Dic142C2×D411yescharacteristic
521C2×Dic142C2×D411yescharacteristic
522C2×Dic142C2×D411yescharacteristic
523C2×Dic142C2411yescharacteristic
524Q8×D71—42no—
525C2×D284—21no—
526C2×D284—21no—
527C2×D284—21no—
528C2×D284—21no—
529C2×D284—21no—
530C2×D284—21no—
531C2×D284—21no—
532C2×D284—41no—
533C2×D284—41no—
534C2×D284C2×D411yescharacteristic
535C2×D284C2×D411yescharacteristic
536C2×D284C2×D411yescharacteristic
537C2×D284C2411yescharacteristic
538C2×D284C2411yescharacteristic
539C2×D284C2411yescharacteristic
540C2×C22⋊D71—21no—
541C2×C22⋊D71—21no—
542C2×C22⋊D71—21no—
543C2×C22⋊D71—21no—
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⋊D71—44no—
565C2×C22⋊D71—44no—
566C2×C22⋊D71—82no—
567C2×C22⋊D71C2×D411yescharacteristic
568C2×C22⋊D71C2×D411yescharacteristic
569C2×C22⋊D71C2×D411yescharacteristic
570C2×C22⋊D71C2×D411yescharacteristic
571C2×C22⋊D71C2×D411yescharacteristic
572C2×C22⋊D71C2×D411yescharacteristic
573D4×D71—22no—
574D4×D71—22no—
575D4×D71—22no—
576D4×D71—22no—
577D4×D71—22no—
578D4×D71—22no—
579D4×D71—41no—
580D4×D71—41no—
581D4×D71—41no—
582D4×D71—41no—
583D4×D71—41no—
584D4×D71—41no—
585D4×D71—42no—
586D4×D71—44no—
587D4×D71—44no—
588D4×D71—42no—
589D4×D71—42no—
590D4×D71—44no—
591D4×D71—82no—
592D4×D71—82no—
593D4×D71—82no—
594D4×D71—82no—
595D4×D71—82no—
596D4×D71—82no—
597C22×Dic71—21no—
598C22×Dic71—21no—
599C22×Dic71—21no—
600C22×Dic71C2×D411yescharacteristic
601C22×Dic71C2×D411yescharacteristic
602C22×Dic71C2×D411yescharacteristic
603C2×C4×D71—22no—
604C2×C4×D71—22no—
605C2×C4×D71—21no—
606C2×C4×D71—21no—
607C2×C4×D71—21no—
608C2×C4×D71—21no—
609C2×C4×D71—21no—
610C2×C4×D71—41no—
611C2×C4×D71—41no—
612C2×C4×D71—41no—
613C2×C4×D71—41no—
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—
628D568—41no—
629D568—41no—
630#11765850—41no—
631#11765850—41no—
632#11765850—41no—
633#11765850—41no—
634#11765850—41no—
635#11765850—41no—
636#11765849—41no—
637#11765848—22no—
638#11765848—22no—
639#11765848—41no—
640#11765848—41no—
641C2×C71⋊C8—41no—
642C2×C71⋊C8C2411yescharacteristic
643C2×C71⋊C8C2411yescharacteristic
644C2×C71⋊C8C2411yescharacteristic
645C2×C71⋊C8C2411yescharacteristic
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—
663C22⋊Dic71—21no—
664C22⋊Dic71—21no—
665C22⋊Dic71—21no—
666C22⋊Dic71—21no—
667C22⋊Dic71—21no—
668C22⋊Dic71—21no—
669C22⋊Dic71—21no—
670C22⋊Dic71—21no—
671C22⋊Dic71—21no—
672C22⋊Dic71—21no—
673C22⋊Dic71—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—
689(C2×D71)⋊C4—21no—
690(C2×D71)⋊C4—21no—
691(C2×D71)⋊C4—21no—
692C4×Dic71—21no—
693C4×Dic71—21no—
694C4×Dic71—21no—
695C4×Dic71—21no—
696C4×Dic71—21no—
697C24×C71—21no—
698C24×C71—21no—
699#41×C71—41no—
700#41×C71—41no—
701C2×Q8×C71C2×D411yescharacteristic
702C2×D4×C71—21no—
703C2×D4×C71—21no—
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×C71—41no—
715C2×D4×C71—41no—
716C2×D4×C71C2×D411yescharacteristic
717C2×D4×C71C2×D411yescharacteristic
718C2×D4×C71C2×D411yescharacteristic
719C2×D4×C71C2411yescharacteristic
720C2×D4×C71C2411yescharacteristic
721C2×D4×C71C2411yescharacteristic
722C2×D4×C71C2411yescharacteristic
723C22×C4×C71C2411yescharacteristic
724C22×C4×C71C2411yescharacteristic
725C22×C4×C71C2411yescharacteristic
726D8×C71—41no—
727D8×C71—41no—
728D8×C71—41no—
729D8×C71—41no—
730M16×C71—41no—
731C2×C8×C71—41no—
732C2×C8×C71C2411yescharacteristic
733C2×C8×C71C2411yescharacteristic
734C2×C8×C71C2411yescharacteristic
735C2×C8×C71C2411yescharacteristic
736C4⋊C4×C71C2411yescharacteristic
737C4⋊C4×C71C2411yescharacteristic
738C4⋊C4×C71C2411yescharacteristic
739C4⋊C4×C71C2411yescharacteristic
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—
747C22⋊C4×C71—21no—
748C22⋊C4×C71—21no—
749C22⋊C4×C71—21no—
750C42×C71—21no—
751C42×C71—21no—
752C23×C71—21no—
753C23×C71—21no—
754C23×C71—21no—
755C23×C71—21no—
756C23×C71—42no—
757C23×C71—42no—
758C23×C71—81no—
759C23×C71—81no—
760C23×C71—81no—
761C23×C71—81no—
762C23×C71C22×D411yescharacteristic
763C23×C71C22×D411yescharacteristic
764C23×C71C22×D411yescharacteristic
765C22×D71—22no—
766C22×D71—22no—
767C22×D71—22no—
768C22×D71—22no—
769C22×D71—21no—
770C22×D71—21no—
771C22×D71—21no—
772C22×D71—41no—
773C22×D71—41no—
774C22×D71—41no—
775C22×D71—41no—
776C22×D71—41no—
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—42no—
786C22×D71—42no—
787C22×D71—42no—
788C22×D71—81no—
789C22×D71—81no—
790C22×D71—81no—
791C22×D71—81no—
792C22×D71—81no—
793C22×D71—81no—
794C22×D71—81no—
795C22×D71—81no—
796C22×D71—81no—
797C22×D71—81no—
798C22×D71—816no—
799C22×D71C22×D411yescharacteristic
800C22×D71C22×D411yescharacteristic
801C22×D71C22×D411yescharacteristic
802C22×D71C22×D411yescharacteristic
803Q8×C71—41no—
804D4×C71—21no—
805D4×C71—21no—
806D4×C71—21no—
807D4×C71—21no—
808D4×C71—21no—
809D4×C71—21no—
810D4×C71—21no—
811D4×C71—21no—
812D4×C71—41no—
813D4×C71—41no—
814D4×C71—41no—
815D4×C71—42no—
816D4×C71—42no—
817D4×C71—81no—
818D4×C71—81no—
819D4×C71—81no—
820D4×C71—81no—
821D4×C71—81no—
822D4×C71—81no—
823D4×C71—81no—
824D4×C71—81no—
825C2×C4×C71—21no—
826C2×C4×C71—21no—
827C2×C4×C71—21no—
828C2×C4×C71—21no—
829C2×C4×C71—21no—
830C2×C4×C71—21no—
831C2×C4×C71—21no—
832C2×C4×C71—21no—
833C2×C4×C71—21no—
834C2×C4×C71—21no—
835C2×C4×C71C22×D411yescharacteristic
836C2×C4×C71C22×D411yescharacteristic
837C2×C4×C71C22×D411yescharacteristic
838C2×C4×C71C2511yescharacteristic
839C22⋊D71—22no—
840C22⋊D71—22no—
841C22⋊D71—22no—
842C22⋊D71—22no—
843C22⋊D71—41no—
844C22⋊D71—41no—
845C22⋊D71—42no—
846C22⋊D71—42no—
847C22⋊D71—42no—
848C22⋊D71—42no—
849C22⋊D71—42no—
850C22⋊D71—42no—
851C22⋊D71—42no—
852C22⋊D71—42no—
853C22⋊D71—42no—
854C22⋊D71—42no—
855C22⋊D71—42no—
856C22⋊D71—81no—
857C22⋊D71—81no—
858C22⋊D71—81no—
859C22⋊D71—81no—
860C22⋊D71—81no—
861C22⋊D71—81no—
862C22⋊D71—81no—
863C22⋊D71—81no—
864C22⋊D71—81no—
865C22⋊D71—81no—
866C22⋊D71—81no—
867C22⋊D71—81no—
868C2×Dic71—22no—
869C2×Dic71—21no—
870C2×Dic71—21no—
871C2×Dic71—21no—
872C2×Dic71—21no—
873C2×Dic71—21no—
874C2×Dic71—41no—
875C2×Dic71—41no—
876C2×Dic71—42no—
877C2×Dic71—42no—
878C2×Dic71—81no—
879C2×Dic71C22×D411yescharacteristic
880C2×Dic71C22×D411yescharacteristic
881C2×Dic71C22×D411yescharacteristic
882C2×Dic71C22×D411yescharacteristic
883D284—22no—
884D284—22no—
885D284—21no—
886D284—21no—
887D284—21no—
888D284—21no—
889D284—21no—
890D284—21no—
891D284—41no—
892D284—42no—
893D284—42no—
894D284—81no—
895D284—81no—
896D284—81no—
897D284—81no—
898D284—81no—
899C4×D71—22no—
900C4×D71—21no—
901C4×D71—21no—
902C4×D71—21no—
903C4×D71—21no—
904C4×D71—21no—
905C4×D71—21no—
906C4×D71—22no—
907C4×D71—41no—
908C4×D71—41no—
909C4×D71—41no—
910C4×D71—41no—
911C4×D71—42no—
912C4×D71—42no—
913C4×D71—42no—
914C4×D71—81no—
915C4×D71—81no—
916C4×D71H(5,𝔽2)12yes—
917C4×D71H(5,𝔽2)12yes—
918Dic142—22no—
919Dic142—22no—
920Dic142—21no—
921Dic142—21no—
922Dic142—41no—
923C8×C71—21no—
924C8×C71—21no—
925C8×C71—21no—
926C8×C71—21no—
927C71⋊C8—21no—
928C71⋊C8—21no—
929C71⋊C8—21no—
930C71⋊C8—21no—
931C22×C71—21no—
932C22×C71—21no—
933C22×C71—21no—
934C22×C71—21no—
935C22×C71—21no—
936C22×C71—21no—
937C22×C71—21no—
938C22×C71—21no—
939C22×C71—21no—
940C22×C71—41no—
941C22×C71—41no—
942C22×C71—41no—
943C22×C71—41no—
944C22×C71—41no—
945C22×C71—41no—
946C22×C71—41no—
947C22×C71—41no—
948C22×C71—41no—
949C22×C71—41no—
950C22×C71—41no—
951C22×C71—41no—
952C22×C71—84no—
953C22×C71—162no—
954C22×C71C23×D411yescharacteristic
955C2×D71—21no—
956C2×D71—21no—
957C2×D71—21no—
958C2×D71—21no—
959C2×D71—21no—
960C2×D71—21no—
961C2×D71—21no—
962C2×D71—21no—
963C2×D71—21no—
964C2×D71—21no—
965C2×D71—44no—
966C2×D71—41no—
967C2×D71—41no—
968C2×D71—41no—
969C2×D71—41no—
970C2×D71—41no—
971C2×D71—41no—
972C2×D71—41no—
973C2×D71—41no—
974C2×D71—41no—
975C2×D71—82no—
976C2×D71—82no—
977C2×D71—84no—
978C2×D71—84no—
979C2×D71—84no—
980C2×D71—84no—
981C2×D71—84no—
982C2×D71—162no—
983C2×D71—162no—
984C2×D71#53412yes—
985C2×D71#57612yes—
986C4×C71—21no—
987C4×C71—21no—
988C4×C71—21no—
989C4×C71—41no—
990C4×C71—41no—
991C4×C71—41no—
992C4×C71—41no—
993C4×C71C2×H(5,𝔽2)11yescharacteristic
994C4×C71C2×H(5,𝔽2)11yescharacteristic
995Dic71—21no—
996Dic71—21no—
997Dic71—21no—
998Dic71—41no—
999Dic71—41no—
1000Dic71—41no—
1001Dic71—41no—
1002Dic71—41no—
1003Dic71#53412yes—
1004#60756—711nomaximal, Sylow
1005C2×C71—41no—
1006C2×C71—41no—
1007C2×C71—41no—
1008C2×C71—81no—
1009C2×C71—81no—
1010C2×C71—81no—
1011C2×C71—81no—
1012C2×C71C2×#53411yescharacteristic
1013C2×C71C2×#57611yescharacteristic
1014C2×C71#358511yescharacteristic
1015D71—22no—
1016D71—22no—
1017D71—41no—
1018D71—41no—
1019D71—81no—
1020D71—81no—
1021D71—81no—
1022#3488—711no—
1023C2×#535—711no—
1024#3199—711no—
1025#3199—711no—
1026#3199—711no—
1027#3199D7111yescharacteristic, complemented
1028#3198—711no—
1029#3198—711no—
1030#3198—711no—
1031#3198—711no—
1032#3194—711no—
1033#3194—711no—
1034#3192—711no—
1035#3192—711no—
1036#3188—711no—
1037#3188—711no—
1038#3186—711no—
1039#3186—711no—
1040#3096—711no—
1041#3096—711no—
1042#3094—711no—
1043#3091—711no—
1044#3062—711no—
1045#3062—711no—
1046#3058—711no—
1047#3058—711no—
1048#3008—711no—
1049#3008—711no—
1050#3003—711no—
1051C2×#447—711no—
1052#2880—711no—
1053C71#6075611yescharacteristic, complemented, Sylow
1054C2×H(5,𝔽2)—711no—
1055C22×#41—711no—
1056C23×D4—711no—
1057C2×AGL(1,ℤ/8)—711no—
1058C2×AGL(1,ℤ/8)—711no—
1059C22×D8—711no—
1060C22×D8—711no—
1061C2×#131—711no—
1062C2×#131—711no—
1063#550—1421no—
1064#548—1421no—
1065#546—1421no—
1066#546—1421no—
1067#546—1421no—
1068D42—1421no—
1069D42—1421no—
1070D42—1421no—
1071#537—711no—
1072#537—711no—
1073#537—711no—
1074#535—711no—
1075#535—711no—
1076#535—711no—
1077#535—711no—
1078#535—711no—
1079#535—711no—
1080#535—711no—
1081#535—711no—
1082#535—711no—
1083#535—1421no—
1084#535—1421no—
1085#535—1421no—
1086#535—1421no—
1087#535C2×D7111yescharacteristic, complemented
1088#535C2×D7111yescharacteristic, complemented
1089C2×#127—1421no—
1090C2×#124—1421no—
1091#525—711no—
1092#525—711no—
1093#525—711no—
1094C2×#121—711no—
1095C2×#121—711no—
1096C2×#121—711no—
1097C2×#121—711no—
1098C2×#121—711no—
1099C2×#121—711no—
1100C2×#121—711no—
1101C2×#120—1421no—
1102C2×#120—1421no—
1103#520—711no—
1104C2×#117—711no—
1105#485—711no—
1106#485—711no—
1107#484—711no—
1108#483—711no—
1109#482—711no—
1110#482—711no—
1111#482—711no—
1112#482—711no—
1113#482—711no—
1114#482—711no—
1115#482—711no—
1116#482—711no—
1117#482—711no—
1118#482—711no—
1119#482C2×D7111yescharacteristic, complemented
1120#482C2×D7111yescharacteristic, complemented
1121#482C2×D7111yescharacteristic, complemented
1122#482C2×D7111yescharacteristic, complemented
1123#481—711no—
1124#481—711no—
1125#481—711no—
1126#481—711no—
1127#481—711no—
1128#481—711no—
1129#481—711no—
1130#480—711no—
1131#480—711no—
1132#480—711no—
1133#480—711no—
1134#480—711no—
1135#480—711no—
1136#480—711no—
1137#469—711no—
1138#469—711no—
1139#469—711no—
1140#469—711no—
1141#469—711no—
1142#469—711no—
1143#469—711no—
1144#469—711no—
1145#469—711no—
1146#469—711no—
1147#469C2×D7111yescharacteristic, complemented
1148#469C2×D7111yescharacteristic, complemented
1149#468—711no—
1150#468—711no—
1151#468—711no—
1152#468—711no—
1153#466—711no—
1154#466—711no—
1155#466—711no—
1156#466—711no—
1157#466—711no—
1158#466—711no—
1159#466—711no—
1160#466—711no—
1161#466—711no—
1162#466—711no—
1163#466C2×D7111yescharacteristic, complemented
1164#466C2×D7111yescharacteristic, complemented
1165#465—711no—
1166#465—711no—
1167#465—711no—
1168#465—711no—
1169#450—711no—
1170#450—711no—
1171#450—711no—
1172#450—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#447—711no—
1182#447—711no—
1183#447—711no—
1184#447—711no—
1185#447—711no—
1186#447—711no—
1187#447—711no—
1188#447—711no—
1189#447—711no—
1190#447—711no—
1191#447—711no—
1192#447—711no—
1193#447—711no—
1194#447—711no—
1195#447—711no—
1196#447—711no—
1197#447C2×D7111yescharacteristic, complemented
1198#447C2×D7111yescharacteristic, complemented
1199#447C2×D7111yescharacteristic, complemented
1200#447C2×D7111yescharacteristic, complemented
1201#428—711no—
1202#428—711no—
1203#427—711no—
1204#427—711no—
1205#418—711no—
1206#418—711no—
1207#418—711no—
1208#418—711no—
1209#416—711no—
1210#416—711no—
1211C2×#102—711no—
1212C2×#102—711no—
1213#408—711no—
1214#408—711no—
1215#408—711no—
1216#408—711no—
1217#408—711no—
1218#408C2×D7111yescharacteristic, complemented
1219#407—711no—
1220#407—711no—
1221#407—711no—
1222C2×C22⋊C8—711no—
1223C2×C22⋊C8—711no—
1224C2×C22⋊C8—711no—
1225C25—1421no—
1226H(5,𝔽2)—2842no—
1227H(5,𝔽2)—2842no—
1228C2×#41—2842no—
1229C2×#41—2842no—
1230C2×#41—711no—
1231C2×#41—711no—
1232C2×#41—711no—
1233C2×#41—711no—
1234C2×#41—711no—
1235C2×#41—711no—
1236C2×#41—711no—
1237C2×#41—711no—
1238C2×#41—711no—
1239C2×#41—711no—
1240C2×#41—1421no—
1241C2×#41C22×D7111yescharacteristic
1242C22×Q8—711no—
1243C22×D4—2842no—
1244C22×D4—2842no—
1245C22×D4—711no—
1246C22×D4—711no—
1247C22×D4—711no—
1248C22×D4—711no—
1249C22×D4—711no—
1250C22×D4—711no—
1251C22×D4—711no—
1252C22×D4—711no—
1253C22×D4—711no—
1254C22×D4—711no—
1255C22×D4—1421no—
1256C22×D4—1421no—
1257C22×D4—1421no—
1258C22×D4—1421no—
1259C22×D4—1421no—
1260C22×D4—1421no—
1261C22×D4—1421no—
1262C22×D4—1421no—
1263C22×D4—1421no—
1264C22×D4—1421no—
1265C22×D4—1421no—
1266C22×D4—1421no—
1267C22×D4—1421no—
1268C22×D4C22×D7111yescharacteristic
1269C22×D4C22×D7111yescharacteristic, complemented
1270C23×C4—711no—
1271C23×C4—711no—
1272C23×C4—711no—
1273AGL(1,ℤ/8)—2842no—
1274AGL(1,ℤ/8)—2842no—
1275C2×SD16—711no—
1276C2×SD16—711no—
1277C2×SD16—711no—
1278C2×SD16—711no—
1279C2×D8—2842no—
1280C2×D8—2842no—
1281C2×D8—711no—
1282C2×D8—711no—
1283C2×D8—711no—
1284C2×D8—711no—
1285C2×D8—711no—
1286C2×D8—711no—
1287C2×D8—711no—
1288C2×D8—711no—
1289C2×D8C22×D7111yescharacteristic
1290C2×D8C22×D7111yescharacteristic
1291C2×D8C22×D7111yescharacteristic
1292C2×D8C22×D7111yescharacteristic
1293#131—2842no—
1294#131—2842no—
1295C2×M16—711no—
1296C2×M16—711no—
1297C2×M16—711no—
1298C2×M16—711no—
1299C2×M16—711no—
1300C2×M16C22×D7111yescharacteristic, complemented
1301C22×C8—711no—
1302C22×C8—711no—
1303C22×C8—711no—
1304C22×C8—711no—
1305C22×C8—711no—
1306C22×C8C22×D7111yescharacteristic, complemented
1307#127—21no—
1308#127—21no—
1309#127—1421no—
1310#127—1421no—
1311#127—1421no—
1312#127—1421no—
1313#127—1421no—
1314#127—1421no—
1315#127—1421no—
1316#127—1421no—
1317#127—1421no—
1318#124—21no—
1319#124—21no—
1320#124—1421no—
1321#124—1421no—
1322#124—1421no—
1323#124—1421no—
1324#124—1421no—
1325#124—1421no—
1326#124—1421no—
1327#124—1421no—
1328#124—1421no—
1329#123—1421no—
1330#123—1421no—
1331#123—1421no—
1332C22⋊Q8—711no—
1333C22⋊Q8—711no—
1334C22⋊Q8—711no—
1335C22⋊Q8—711no—
1336C22⋊Q8—1421no—
1337C22⋊Q8—1421no—
1338C22⋊Q8—1421no—
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—711no—
1355#121—711no—
1356#121—711no—
1357#121—711no—
1358#121—711no—
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#121C22×D7111yescharacteristic
1383#121C22×D7111yescharacteristic
1384#121C22×D7111yescharacteristic
1385#121C22×D7111yescharacteristic
1386#121C22×D7111yescharacteristic
1387#121C22×D7111yescharacteristic
1388#121C22×D7111yescharacteristic, complemented
1389#121C22×D7111yescharacteristic, complemented
1390#120—21no—
1391#120—21no—
1392#120—21no—
1393#120—21no—
1394#120—1421no—
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#120—1421no—
1410#120—1421no—
1411#120—1421no—
1412#120—1421no—
1413#120—1421no—
1414#120—1421no—
1415C4×Q8—1421no—
1416C4×D4—1421no—
1417C4×D4—1421no—
1418C4×D4—1421no—
1419C4×D4—1421no—
1420C4×D4—1421no—
1421C4×D4—1421no—
1422C4×D4—1421no—
1423C4×D4—1421no—
1424C4×D4—1421no—
1425#117—711no—
1426#117—711no—
1427#117—711no—
1428#117—711no—
1429#117—711no—
1430#117—1421no—
1431#117—1421no—
1432#117C22×D7111yescharacteristic
1433#117C22×D7111yescharacteristic, complemented
1434C2×C4⋊C4—711no—
1435C2×C4⋊C4—711no—
1436C2×C4⋊C4—711no—
1437C2×C4⋊C4—711no—
1438C2×C4⋊C4—711no—
1439C2×C22⋊C4—1421no—
1440C2×C22⋊C4—1421no—
1441C2×C22⋊C4—1421no—
1442C2×C22⋊C4—1421no—
1443C2×C22⋊C4—1421no—
1444C2×C22⋊C4—1421no—
1445C2×C22⋊C4—1421no—
1446C2×C22⋊C4—1421no—
1447C2×C42—1421no—
1448#107—711no—
1449#107—711no—
1450#107—711no—
1451#107—711no—
1452#107—711no—
1453#107—711no—
1454#107C22×D7111yescharacteristic, complemented
1455#107C22×D7111yescharacteristic, complemented
1456#106—711no—
1457#106—711no—
1458#106—711no—
1459#106—711no—
1460#106—711no—
1461#106—711no—
1462#106C22×D7111yescharacteristic, complemented
1463#106C22×D7111yescharacteristic, complemented
1464#103—711no—
1465#103—711no—
1466#103—711no—
1467#103—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#102—711no—
1481#102—711no—
1482#102—711no—
1483#102—711no—
1484#102—711no—
1485#102—711no—
1486#102—711no—
1487#102—711no—
1488#102C22×D7111yescharacteristic
1489#102C22×D7111yescharacteristic
1490#102C22×D7111yescharacteristic
1491#102C22×D7111yescharacteristic
1492#102C22×D7111yescharacteristic, complemented
1493#102C22×D7111yescharacteristic, complemented
1494#102C22×D7111yescharacteristic, complemented
1495#102C22×D7111yescharacteristic, complemented
1496C22⋊C8—711no—
1497C22⋊C8—711no—
1498C22⋊C8—711no—
1499C22⋊C8—711no—
1500C22⋊C8—711no—
1501C22⋊C8—711no—
1502C22⋊C8—711no—
1503C22⋊C8—711no—
1504C22⋊C8—711no—
1505C22⋊C8—711no—
1506C22⋊C8—711no—
1507C22⋊C8—711no—
1508C22⋊C8C22×D7111yescharacteristic
1509C22⋊C8C22×D7111yescharacteristic
1510C22⋊C8C22×D7111yescharacteristic, complemented
1511C22⋊C8C22×D7111yescharacteristic, complemented
1512C24—21no—
1513C24—21no—
1514C24—2844no—
1515C24—5682no—
1516C24—5682no—
1517C24—711no—
1518C24—711no—
1519C24—711no—
1520C24—1421no—
1521C24—1421no—
1522C24—1421no—
1523C24—1421no—
1524C24—1421no—
1525C24—1421no—
1526C24—1421no—
1527#41—41no—
1528#41—41no—
1529#41—2841no—
1530#41—2841no—
1531#41—2841no—
1532#41—2841no—
1533#41—2844no—
1534#41—2841no—
1535#41—2841no—
1536#41—2842no—
1537#41—2842no—
1538#41—2842no—
1539#41—2842no—
1540#41—1422no—
1541#41—1422no—
1542#41—1422no—
1543#41—1422no—
1544#41—1422no—
1545#41—1422no—
1546C2×Q8—2842no—
1547C2×Q8—711no—
1548C2×Q8—711no—
1549C2×Q8—711no—
1550C2×Q8—711no—
1551C2×Q8D4×D7111yescharacteristic
1552C2×D4—21no—
1553C2×D4—21no—
1554C2×D4—21no—
1555C2×D4—21no—
1556C2×D4—21no—
1557C2×D4—21no—
1558C2×D4—21no—
1559C2×D4—21no—
1560C2×D4—21no—
1561C2×D4—21no—
1562C2×D4—41no—
1563C2×D4—41no—
1564C2×D4—41no—
1565C2×D4—41no—
1566C2×D4—2841no—
1567C2×D4—2841no—
1568C2×D4—2844no—
1569C2×D4—2842no—
1570C2×D4—2842no—
1571C2×D4—2844no—
1572C2×D4—2844no—
1573C2×D4—2841no—
1574C2×D4—2841no—
1575C2×D4—2841no—
1576C2×D4—2841no—
1577C2×D4—2841no—
1578C2×D4—2841no—
1579C2×D4—2844no—
1580C2×D4—2844no—
1581C2×D4—2842no—
1582C2×D4—2844no—
1583C2×D4—5682no—
1584C2×D4—5682no—
1585C2×D4—5682no—
1586C2×D4—5682no—
1587C2×D4—5682no—
1588C2×D4—5682no—
1589C2×D4—5682no—
1590C2×D4—711no—
1591C2×D4—711no—
1592C2×D4—711no—
1593C2×D4—711no—
1594C2×D4—711no—
1595C2×D4—711no—
1596C2×D4—711no—
1597C2×D4—711no—
1598C2×D4—711no—
1599C2×D4—711no—
1600C2×D4—711no—
1601C2×D4—711no—
1602C2×D4—1421no—
1603C2×D4—1421no—
1604C2×D4—1421no—
1605C2×D4—1421no—
1606C2×D4—1421no—
1607C2×D4—1421no—
1608C2×D4—1422no—
1609C2×D4—1422no—
1610C2×D4—1422no—
1611C2×D4—1422no—
1612C2×D4—1422no—
1613C2×D4—1422no—
1614C2×D4—1421no—
1615C2×D4—1421no—
1616C2×D4—1421no—
1617C2×D4—1421no—
1618C2×D4—1421no—
1619C2×D4—1421no—
1620C2×D4—1421no—
1621C2×D4—1421no—
1622C2×D4—1421no—
1623C2×D4—1421no—
1624C2×D4—1421no—
1625C2×D4—1421no—
1626C2×D4—1421no—
1627C2×D4—1421no—
1628C2×D4—1421no—
1629C2×D4—1421no—
1630C2×D4—1421no—
1631C2×D4—1421no—
1632C2×D4—1421no—
1633C2×D4—1421no—
1634C2×D4—1421no—
1635C2×D4—1421no—
1636C2×D4—1421no—
1637C2×D4—1421no—
1638C2×D4D4×D7111yescharacteristic
1639C2×D4D4×D7111yescharacteristic
1640C2×D4D4×D7111yescharacteristic
1641C2×D4C23×D7111yescharacteristic
1642C2×D4C23×D7111yescharacteristic
1643C2×D4C23×D7111yescharacteristic
1644C2×D4C23×D7111yescharacteristic
1645C22×C4—2841no—
1646C22×C4—2841no—
1647C22×C4—2841no—
1648C22×C4—2841no—
1649C22×C4—711no—
1650C22×C4—711no—
1651C22×C4—711no—
1652C22×C4—711no—
1653C22×C4—711no—
1654C22×C4—711no—
1655C22×C4—711no—
1656C22×C4—711no—
1657C22×C4—711no—
1658C22×C4—711no—
1659C22×C4—711no—
1660C22×C4—711no—
1661C22×C4—711no—
1662C22×C4—1421no—
1663C22×C4—1421no—
1664C22×C4—1421no—
1665C22×C4—1421no—
1666C22×C4—1422no—
1667C22×C4—1422no—
1668C22×C4—1421no—
1669C22×C4—1421no—
1670C22×C4—1421no—
1671C22×C4—1421no—
1672C22×C4C23×D7111yescharacteristic
1673C22×C4C23×D7111yescharacteristic
1674C22×C4C23×D7111yescharacteristic
1675SD16—2841no—
1676SD16—2841no—
1677SD16—2841no—
1678SD16—2841no—
1679D8—41no—
1680D8—41no—
1681D8—41no—
1682D8—41no—
1683D8—2841no—
1684D8—2841no—
1685D8—2841no—
1686D8—2841no—
1687D8—2841no—
1688D8—2841no—
1689D8—2841no—
1690D8—2841no—
1691M16—41no—
1692M16—2841no—
1693M16—2841no—
1694M16—2841no—
1695M16—1422no—
1696M16—1422no—
1697C2×C8—41no—
1698C2×C8—2841no—
1699C2×C8—2841no—
1700C2×C8—2841no—
1701C2×C8—711no—
1702C2×C8—711no—
1703C2×C8—711no—
1704C2×C8—711no—
1705C2×C8—1422no—
1706C2×C8—1422no—
1707C2×C8C23×D7111yescharacteristic
1708C2×C8C23×D7111yescharacteristic
1709C2×C8C23×D7111yescharacteristic
1710C2×C8C23×D7111yescharacteristic
1711C4⋊C4—711no—
1712C4⋊C4—711no—
1713C4⋊C4—711no—
1714C4⋊C4—711no—
1715C4⋊C4—1421no—
1716C4⋊C4—1421no—
1717C4⋊C4—1421no—
1718C4⋊C4—1421no—
1719C4⋊C4—1421no—
1720C4⋊C4—1421no—
1721C4⋊C4—1421no—
1722C4⋊C4—1421no—
1723C4⋊C4—1421no—
1724C4⋊C4C23×D7111yescharacteristic
1725C4⋊C4C23×D7111yescharacteristic
1726C4⋊C4C23×D7111yescharacteristic
1727C4⋊C4C23×D7111yescharacteristic
1728C22⋊C4—21no—
1729C22⋊C4—21no—
1730C22⋊C4—21no—
1731C22⋊C4—21no—
1732C22⋊C4—21no—
1733C22⋊C4—21no—
1734C22⋊C4—21no—
1735C22⋊C4—21no—
1736C22⋊C4—21no—
1737C22⋊C4—21no—
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—
1760C22⋊C4—1421no—
1761C22⋊C4—1421no—
1762C22⋊C4—1421no—
1763C22⋊C4—1421no—
1764C22⋊C4—1421no—
1765C22⋊C4—1421no—
1766C22⋊C4—1421no—
1767C42—21no—
1768C42—21no—
1769C42—1421no—
1770C42—1421no—
1771C42—1421no—
1772C42—1421no—
1773C42—1421no—
1774C23—21no—
1775C23—21no—
1776C23—21no—
1777C23—21no—
1778C23—42no—
1779C23—42no—
1780C23—81no—
1781C23—81no—
1782C23—81no—
1783C23—81no—
1784C23—2841no—
1785C23—2842no—
1786C23—2841no—
1787C23—2841no—
1788C23—2841no—
1789C23—2841no—
1790C23—2842no—
1791C23—2842no—
1792C23—2842no—
1793C23—2842no—
1794C23—2842no—
1795C23—2842no—
1796C23—2842no—
1797C23—2842no—
1798C23—2842no—
1799C23—2842no—
1800C23—5681no—
1801C23—5681no—
1802C23—5681no—
1803C23—5681no—
1804C23—5681no—
1805C23—5681no—
1806C23—5681no—
1807C23—5681no—
1808C23—5681no—
1809C23—5681no—
1810C23—56816no—
1811C23—711no—
1812C23—711no—
1813C23—711no—
1814C23—711no—
1815C23—1422no—
1816C23—1422no—
1817C23—1422no—
1818C23—1422no—
1819C23—1421no—
1820C23—1421no—
1821C23—1421no—
1822C23C2×D4×D7111yescharacteristic
1823C23C2×D4×D7111yescharacteristic
1824C23C2×D4×D7111yescharacteristic
1825Q8—41no—
1826Q8—2841no—
1827Q8—1422no—
1828Q8—1422no—
1829Q8—1421no—
1830Q8—1421no—
1831D4—21no—
1832D4—21no—
1833D4—21no—
1834D4—21no—
1835D4—21no—
1836D4—21no—
1837D4—21no—
1838D4—21no—
1839D4—41no—
1840D4—41no—
1841D4—41no—
1842D4—42no—
1843D4—42no—
1844D4—81no—
1845D4—81no—
1846D4—81no—
1847D4—81no—
1848D4—81no—
1849D4—81no—
1850D4—81no—
1851D4—81no—
1852D4—2842no—
1853D4—2841no—
1854D4—2842no—
1855D4—2842no—
1856D4—2842no—
1857D4—2842no—
1858D4—2842no—
1859D4—2842no—
1860D4—2842no—
1861D4—2842no—
1862D4—2842no—
1863D4—2841no—
1864D4—2841no—
1865D4—2842no—
1866D4—2842no—
1867D4—2842no—
1868D4—5681no—
1869D4—5681no—
1870D4—5681no—
1871D4—5681no—
1872D4—5681no—
1873D4—5681no—
1874D4—5681no—
1875D4—5681no—
1876D4—5681no—
1877D4—5681no—
1878D4—5681no—
1879D4—5681no—
1880D4—5681no—
1881D4—5681no—
1882D4—5681no—
1883D4—5681no—
1884D4—5681no—
1885D4—1422no—
1886D4—1422no—
1887D4—1422no—
1888D4—1422no—
1889D4—1422no—
1890D4—1422no—
1891D4—1421no—
1892D4—1421no—
1893D4—1421no—
1894D4—1421no—
1895D4—1421no—
1896D4—1421no—
1897C2×C4—21no—
1898C2×C4—21no—
1899C2×C4—21no—
1900C2×C4—21no—
1901C2×C4—21no—
1902C2×C4—21no—
1903C2×C4—21no—
1904C2×C4—21no—
1905C2×C4—21no—
1906C2×C4—21no—
1907C2×C4—2842no—
1908C2×C4—2841no—
1909C2×C4—2841no—
1910C2×C4—2841no—
1911C2×C4—2841no—
1912C2×C4—2842no—
1913C2×C4—2842no—
1914C2×C4—2842no—
1915C2×C4—2842no—
1916C2×C4—2841no—
1917C2×C4—2841no—
1918C2×C4—5681no—
1919C2×C4—5681no—
1920C2×C4—5681no—
1921C2×C4—711no—
1922C2×C4—712no—
1923C2×C4—712no—
1924C2×C4—711no—
1925C2×C4—711no—
1926C2×C4—711no—
1927C2×C4—1422no—
1928C2×C4—1422no—
1929C2×C4—1421no—
1930C2×C4—1421no—
1931C2×C4—1421no—
1932C2×C4—1421no—
1933C2×C4—1421no—
1934C2×C4—1422no—
1935C2×C4—1421no—
1936C2×C4—1421no—
1937C2×C4—1421no—
1938C2×C4—1421no—
1939C2×C4—1421no—
1940C2×C4—1421no—
1941C2×C4C2×D4×D7111yescharacteristic
1942C2×C4C2×D4×D7111yescharacteristic
1943C2×C4C2×D4×D7111yescharacteristic
1944C2×C4C24×D7111yescharacteristic
1945C8—21no—
1946C8—21no—
1947C8—21no—
1948C8—21no—
1949C8—1421no—
1950C8—1421no—
1951C8—1421no—
1952C8—1421no—
1953C22—21no—
1954C22—21no—
1955C22—21no—
1956C22—21no—
1957C22—21no—
1958C22—21no—
1959C22—21no—
1960C22—21no—
1961C22—21no—
1962C22—41no—
1963C22—41no—
1964C22—41no—
1965C22—41no—
1966C22—41no—
1967C22—41no—
1968C22—41no—
1969C22—41no—
1970C22—41no—
1971C22—41no—
1972C22—41no—
1973C22—41no—
1974C22—84no—
1975C22—162no—
1976C22—2844no—
1977C22—2841no—
1978C22—2841no—
1979C22—2841no—
1980C22—2841no—
1981C22—2841no—
1982C22—2841no—
1983C22—2841no—
1984C22—2841no—
1985C22—2841no—
1986C22—5682no—
1987C22—5682no—
1988C22—5684no—
1989C22—5684no—
1990C22—5684no—
1991C22—5684no—
1992C22—5684no—
1993C22—712no—
1994C22—712no—
1995C22—11362no—
1996C22—11362no—
1997C22—1421no—
1998C22—1421no—
1999C22—1421no—
2000C22—1421no—
2001C22—1421no—
2002C22—1421no—
2003C22—1421no—
2004C22—1421no—
2005C22—1421no—
2006C22—1421no—
2007C22C22×D4×D7111yescharacteristic
2008C4—21no—
2009C4—21no—
2010C4—21no—
2011C4—41no—
2012C4—41no—
2013C4—41no—
2014C4—41no—
2015C4—2841no—
2016C4—2841no—
2017C4—2841no—
2018C4—2841no—
2019C4—2841no—
2020C4—712no—
2021C4—1421no—
2022C4—1421no—
2023C4—1421no—
2024C4H(5,𝔽2)×D7111yescharacteristic
2025C4H(5,𝔽2)×D7111yescharacteristic
2026C2—41no—
2027C2—41no—
2028C2—41no—
2029C2—81no—
2030C2—81no—
2031C2—81no—
2032C2—81no—
2033C2—2841no—
2034C2—2841no—
2035C2—5681no—
2036C2—5681no—
2037C2—5681no—
2038C2—1422no—
2039C2—1422no—
2040C2#534×D7111yescharacteristic
2041C2#576×D7111yescharacteristic
2042C2#2260311511yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3199C2
socleC22×C71C23×D4
hypercenter#3199D71
hypocenterC71#60756
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3199

Complements

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

NH ≅ G/Ntype
1. #22602007C2semidirect
2. #535×D71C2semidirect
3. #22599204C2semidirect
4. #22599203C2semidirect
5. #22599201C2semidirect
6. #22599194C2semidirect
7. #22599192C2semidirect
8. #22599190C2semidirect
9. #22599188C2semidirect
10. #22599158C2semidirect
11. #22599149C2semidirect
12. #22599138C2semidirect
13. #22599136C2semidirect
14. #22599109C2semidirect
15. #22599100C2semidirect
16. #22599089C2semidirect
17. #22599087C2semidirect
18. #22598295C2semidirect
19. #22598293C2semidirect
20. #22598279C2semidirect
21. #22598252C2semidirect
22. #22598019C2semidirect
23. #22598017C2semidirect
24. #22597986C2semidirect
25. #22597983C2semidirect
26. #22597603C2semidirect
27. #22597603C2semidirect
28. #22597564C2semidirect
29. #447×D71C2semidirect
30. #22596788C2semidirect
31. C71×#3199C2semidirect
32. C2×#14556173C22semidirect
34. C22×D4×D71C22semidirect
35. C2×#14556152C22semidirect
36. C2×#14556152C22semidirect
37. C2×D8×D71C22semidirect
38. C2×D8×D71C22semidirect
39. C2×#14556136C22semidirect
40. C2×#14556134C22semidirect
49. #17986578C22semidirect
50. #17986578C22semidirect
51. #17986577C22semidirect
52. #17986568C22semidirect
54. #17986566C22semidirect
57. #17986565C22semidirect
58. #17986565C22semidirect
59. #17986565C22semidirect
60. #17986565C22semidirect
63. #17986563C22semidirect
67. #17986511C22semidirect
69. #17986509C22semidirect
70. C2×#14556099C22semidirect
72. #121×D71C22semidirect
73. #121×D71C22semidirect
74. #121×D71C22semidirect
75. #121×D71C22semidirect
76. #121×D71C22semidirect
79. #17986479C22semidirect
80. #117×D71C22semidirect
81. #17986341C22semidirect
82. #17986340C22semidirect
83. #17986336C22semidirect
84. #17986331C22semidirect
85. #17986326C22semidirect
86. #17986325C22semidirect
87. #17986324C22semidirect
88. #17986323C22semidirect
89. #17986323C22semidirect
90. #17986323C22semidirect
91. #17986322C22semidirect
92. #17986321C22semidirect
93. #17986320C22semidirect
94. #17986320C22semidirect
95. #17986319C22semidirect
96. #17986319C22semidirect
97. #17986318C22semidirect
98. #17986316C22semidirect
99. #17986316C22semidirect
100. #17986316C22semidirect
101. #17986315C22semidirect
102. #17986314C22semidirect
103. #17986314C22semidirect
104. #17986313C22semidirect
105. #17986311C22semidirect
106. #17986311C22semidirect
107. #17986311C22semidirect
108. #17986310C22semidirect
109. #17986253C22semidirect
110. #17986252C22semidirect
111. #17986251C22semidirect
112. #17986251C22semidirect
113. #17986251C22semidirect
114. #17986250C22semidirect
115. #17986250C22semidirect
116. #17986250C22semidirect
117. #17986249C22semidirect
118. #17986249C22semidirect
119. #17986246C22semidirect
120. #17986245C22semidirect
121. #17986244C22semidirect
122. #17986243C22semidirect
123. #17986236C22semidirect
124. #17986235C22semidirect
125. #17986234C22semidirect
126. #17986234C22semidirect
127. #17986234C22semidirect
128. #17986233C22semidirect
129. #17986233C22semidirect
130. #17986233C22semidirect
131. #17986232C22semidirect
132. #17986232C22semidirect
133. #17986229C22semidirect
134. #17986228C22semidirect
135. #17986227C22semidirect
136. #17986226C22semidirect
137. #17986152C22semidirect
138. #17986151C22semidirect
139. #17986151C22semidirect
140. #17986150C22semidirect
141. #17986146C22semidirect
142. #17986146C22semidirect
143. #17986145C22semidirect
144. #17986145C22semidirect
145. #17986142C22semidirect
146. #17986142C22semidirect
147. #17986141C22semidirect
148. #17986141C22semidirect
149. #17986135C22semidirect
150. #17986134C22semidirect
151. #17986134C22semidirect
152. #17986134C22semidirect
153. #17986134C22semidirect
154. #17986133C22semidirect
155. #17986133C22semidirect
156. #17986133C22semidirect
157. #17986132C22semidirect
158. #17986132C22semidirect
159. #17986131C22semidirect
160. #17986131C22semidirect
161. #17986131C22semidirect
162. #17986131C22semidirect
163. #17986131C22semidirect
164. #17986131C22semidirect
165. #17986040C22semidirect
166. #17986038C22semidirect
167. #17986036C22semidirect
168. #17986034C22semidirect
169. #17986002C22semidirect
170. #17986002C22semidirect
171. #17986002C22semidirect
172. #17986002C22semidirect
173. #17985992C22semidirect
174. #17985992C22semidirect
175. #102×D71C22semidirect
176. #102×D71C22semidirect
177. #17985966C22semidirect
178. #17985964C22semidirect
179. #17985964C22semidirect
180. #17985964C22semidirect
181. #17985964C22semidirect
182. #17985962C22semidirect
183. #17985961C22semidirect
184. #17985961C22semidirect
185. C2×(C2×D71)⋊C8C22semidirect
186. C22⋊C8×D71C22semidirect
187. C22⋊C8×D71C22semidirect
188. #535×C71C22semidirect
189. #535×C71C22semidirect
190. #482×C71C22semidirect
191. #482×C71C22semidirect
192. #482×C71C22semidirect
193. #482×C71C22semidirect
194. #469×C71C22semidirect
195. #469×C71C22semidirect
196. #466×C71C22semidirect
197. #466×C71C22semidirect
198. #447×C71C22semidirect
199. #447×C71C22semidirect
200. #447×C71C22semidirect
201. #447×C71C22semidirect
202. #408×C71C22semidirect
210. C2×#11765865C23semidirect
216. C2×#11765864C23semidirect
244. C2×D4×D71C23semidirect
266. C2×#11765849C23semidirect
269. C2×#11765848C23semidirect
270. C2×#11765848C23semidirect
271. C22×C71⋊C8C23semidirect
274. C2×C8×D71C23semidirect
275. C2×C8×D71C23semidirect
298. #14556108C23semidirect
300. #14556107C23semidirect
309. #14556103C23semidirect
315. #14556102C23semidirect
345. #14556099C23semidirect
346. #14556099C23semidirect
382. #14556086C23semidirect
385. 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. #14556051C23semidirect
414. #14556051C23semidirect
419. #14556050C23semidirect
420. #14556050C23semidirect
425. #14556049C23semidirect
426. #14556049C23semidirect
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
449. C22×D4×C71C23semidirect
454. C2×M16×C71C23semidirect
455. C22×C8×C71C23semidirect
466. #121×C71C23semidirect
467. #121×C71C23semidirect
473. #117×C71C23semidirect
474. #107×C71C23semidirect
475. #107×C71C23semidirect
476. #106×C71C23semidirect
477. #106×C71C23semidirect
482. #102×C71C23semidirect
483. #102×C71C23semidirect
484. #102×C71C23semidirect
485. #102×C71C23semidirect
488. C22⋊C8×C71C23semidirect
489. C22⋊C8×C71C23semidirect
1027. #3199D71semidirect
1053. C71#60756semidirect
1087. #535C2×D71semidirect
1088. #535C2×D71semidirect
1119. #482C2×D71semidirect
1120. #482C2×D71semidirect
1121. #482C2×D71semidirect
1122. #482C2×D71semidirect
1147. #469C2×D71semidirect
1148. #469C2×D71semidirect
1163. #466C2×D71semidirect
1164. #466C2×D71semidirect
1197. #447C2×D71semidirect
1198. #447C2×D71semidirect
1199. #447C2×D71semidirect
1200. #447C2×D71semidirect
1218. #408C2×D71semidirect
1269. C22×D4C22×D71semidirect
1300. C2×M16C22×D71semidirect
1306. C22×C8C22×D71semidirect
1388. #121C22×D71semidirect
1389. #121C22×D71semidirect
1433. #117C22×D71semidirect
1454. #107C22×D71semidirect
1455. #107C22×D71semidirect
1462. #106C22×D71semidirect
1463. #106C22×D71semidirect
1492. #102C22×D71semidirect
1493. #102C22×D71semidirect
1494. #102C22×D71semidirect
1495. #102C22×D71semidirect
1510. C22⋊C8C22×D71semidirect
1511. C22⋊C8C22×D71semidirect

Maximal subgroups

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

subgroupindex
#226020072
#535×D712
#225992042
#225992032
#225992012
#225991942
#225991922
#225991902
#225991882
#225991582
#225991492
#225991382
#225991362
#225991092
#225991002
#225990892
#225990872
#225982952
#225982932
#225982792
#225982522
#225980192
#225980172
#225979862
#225979832
#225976032
#225975642
#447×D712
#225967882
C71×#31992
#6075671