Finite Group Databasebeta

← #3322×D71 #32874241

Subgroups — #3322×D71 #32874241

Order 18176.

2318 conjugacy classes of subgroups.

The subgroup lattice has 1912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#553×D71C211yesmaximal, characteristic, complemented
2#546×D71C211yesmaximal, characteristic, complemented
3#22600548C211yesmaximal, characteristic, complemented
4#22600547C211yesmaximal, characteristic, complemented
5#22600546C211yesmaximal, characteristic, complemented
6#22600545C211yesmaximal, characteristic, complemented
7#22600544C211yesmaximal, characteristic, complemented
8#22600543C211yesmaximal, characteristic, complemented
9#22600542C211yesmaximal, characteristic, complemented
10#22600541C211yesmaximal, characteristic, complemented
11#22600540C211yesmaximal, characteristic, complemented
12#22600539C211yesmaximal, characteristic, complemented
13#22600538C211yesmaximal, characteristic, complemented
14#22600537C211yesmaximal, characteristic, complemented
15#22600536C211yesmaximal, characteristic, complemented
16#22600535C211yesmaximal, characteristic, complemented
17#22600534C211yesmaximal, characteristic, complemented
18#488×D71C211yesmaximal, characteristic, complemented
19#485×D71C211yesmaximal, characteristic, complemented
20#480×D71C211yesmaximal, characteristic, complemented
21#478×D71C211yesmaximal, characteristic, complemented
22#469×D71C211yesmaximal, characteristic, complemented
23#468×D71C211yesmaximal, characteristic, complemented
24#463×D71C211yesmaximal, characteristic, complemented
25#449×D71C211yesmaximal, characteristic, complemented
26#447×D71C211yesmaximal, characteristic, complemented
27C4×D8×D71C211yesmaximal, characteristic, complemented
28#436×D71C211yesmaximal, characteristic, complemented
29#417×D71C211yesmaximal, characteristic, complemented
30#418×D71C211yesmaximal, characteristic, complemented
31C71×#3322C211yesmaximal, characteristic, complemented
32C2×#41×D71C2211yescharacteristic
33C22×D4×D71C2211yescharacteristic
34C2×SD16×D71C2211yescharacteristic, complemented
35C2×D8×D71C2211yescharacteristic
36C2×D8×D71C2211yescharacteristic
37C2×M16×D71C2211yescharacteristic
38C2×M16×D71C2211yescharacteristic, complemented
39#17986702C2211yescharacteristic, complemented
40#17986701C2211yescharacteristic, complemented
41#17986700—21no—
42#17986699C2211yescharacteristic, complemented
43#17986698—21no—
44#17986697C2211yescharacteristic, complemented
45#17986696C2211yescharacteristic, complemented
46#17986695C2211yescharacteristic, complemented
47#17986694—21no—
48#17986693C2211yescharacteristic, complemented
49#17986692—21no—
50#17986646C2211yescharacteristic, complemented
51#17986645C2211yescharacteristic, complemented
52#17986644C2211yescharacteristic, complemented
53#17986643C2211yescharacteristic, complemented
54#17986642C2211yescharacteristic, complemented
55#17986641—21no—
56#17986640C2211yescharacteristic, complemented
57#17986639—21no—
58#17986638—21no—
59#17986637C2211yescharacteristic, complemented
60#17986636—21no—
61#126×D71—21no—
62#125×D71C2211yescharacteristic, complemented
63#124×D71C2211yescharacteristic
64#123×D71—21no—
65#123×D71—21no—
66C22⋊Q8×D71C2211yescharacteristic
67#121×D71—21no—
68#121×D71—21no—
69#121×D71C2211yescharacteristic
70#121×D71C2211yescharacteristic
71#121×D71C2211yescharacteristic, complemented
72#120×D71—21no—
73C4×D4×D71—21no—
74C4×D4×D71C2211yescharacteristic
75C4×D4×D71C2211yescharacteristic
76C4×D4×D71C2211yescharacteristic, complemented
77#117×D71C2211yescharacteristic
78C2×C4⋊C4×D71C2211yescharacteristic, complemented
79C2×C22⋊C4×D71—21no—
80#17986356C2211yescharacteristic, complemented
81#17986355C2211yescharacteristic, complemented
82#17986355C2211yescharacteristic, complemented
83#17986354C2211yescharacteristic, complemented
84#17986353C2211yescharacteristic, complemented
85#17986352C2211yescharacteristic, complemented
86#17986352C2211yescharacteristic, complemented
87#17986343C2211yescharacteristic, complemented
88#17986342C2211yescharacteristic, complemented
89#17986341C2211yescharacteristic, complemented
90#17986340C2211yescharacteristic, complemented
91#17986339C2211yescharacteristic, complemented
92#17986338C2211yescharacteristic, complemented
93#17986337C2211yescharacteristic, complemented
94#17986314C2211yescharacteristic, complemented
95#17986314C2211yescharacteristic, complemented
96#17986313C2211yescharacteristic, complemented
97#17986312C2211yescharacteristic, complemented
98#17986311C2211yescharacteristic, complemented
99#17986311C2211yescharacteristic, complemented
100#17986310C2211yescharacteristic, complemented
101#17986302C2211yescharacteristic, complemented
102#17986301C2211yescharacteristic, complemented
103#17986300C2211yescharacteristic, complemented
104#17986299C2211yescharacteristic, complemented
105#17986298C2211yescharacteristic, complemented
106#17986297C2211yescharacteristic, complemented
107#17986296C2211yescharacteristic, complemented
108#17986253C2211yescharacteristic, complemented
109#17986252C2211yescharacteristic, complemented
110#17986251C2211yescharacteristic, complemented
111#17986251C2211yescharacteristic, complemented
112#17986250C2211yescharacteristic, complemented
113#17986250C2211yescharacteristic, complemented
114#17986249C2211yescharacteristic, complemented
115#17986248C2211yescharacteristic, complemented
116#17986247C2211yescharacteristic, complemented
117#17986246C2211yescharacteristic, complemented
118#17986245C2211yescharacteristic, complemented
119#17986244C2211yescharacteristic, complemented
120#17986243C2211yescharacteristic, complemented
121#17986242C2211yescharacteristic, complemented
122#17986217C2211yescharacteristic, complemented
123#17986216C2211yescharacteristic, complemented
124#17986215C2211yescharacteristic, complemented
125#17986214C2211yescharacteristic, complemented
126#17986213C2211yescharacteristic, complemented
127#17986212C2211yescharacteristic, complemented
128#17986211C2211yescharacteristic, complemented
129#17986147C2211yescharacteristic, complemented
130#17986146C2211yescharacteristic, complemented
131#17986145C2211yescharacteristic, complemented
132#17986144C2211yescharacteristic, complemented
133#17986143C2211yescharacteristic, complemented
134#17986142C2211yescharacteristic, complemented
135#17986141C2211yescharacteristic, complemented
136#17986135C2211yescharacteristic, complemented
137#17986134C2211yescharacteristic, complemented
138#17986134C2211yescharacteristic, complemented
139#17986133C2211yescharacteristic, complemented
140#17986132C2211yescharacteristic, complemented
141#17986131C2211yescharacteristic, complemented
142#17986131C2211yescharacteristic, complemented
143C4×D568C2211yescharacteristic, complemented
144D8×Dic71C2211yescharacteristic, complemented
145#17986081C2211yescharacteristic, complemented
146C4×#11765850C2211yescharacteristic, complemented
147C4×#11765850C2211yescharacteristic, complemented
148#17986079C2211yescharacteristic, complemented
149#17986079C2211yescharacteristic, complemented
150#17986078C2211yescharacteristic, complemented
151#17986077C2211yescharacteristic, complemented
152#17986076C2211yescharacteristic, complemented
153#17986075C2211yescharacteristic, complemented
154#17986075C2211yescharacteristic, complemented
155#17986074C2211yescharacteristic, complemented
156#17986074C2211yescharacteristic, complemented
157#107×D71C2211yescharacteristic, complemented
158#107×D71C2211yescharacteristic, complemented
159#106×D71C2211yescharacteristic, complemented
160C4⋊C8×D71C2211yescharacteristic, complemented
161#17986005C2211yescharacteristic, complemented
162#17986004C2211yescharacteristic, complemented
163#17986003C2211yescharacteristic, complemented
164#17986002C2211yescharacteristic, complemented
165#17986002C2211yescharacteristic, complemented
166#17986002C2211yescharacteristic, complemented
167#17986002C2211yescharacteristic, complemented
168#17986001C2211yescharacteristic, complemented
169#17986000C2211yescharacteristic, complemented
170#17985999C2211yescharacteristic, complemented
171#17985999C2211yescharacteristic, complemented
172#17985998C2211yescharacteristic, complemented
173#17985997C2211yescharacteristic, complemented
174#17985997C2211yescharacteristic, complemented
175#103×D71C2211yescharacteristic, complemented
176#103×D71C2211yescharacteristic, complemented
177#103×D71C2211yescharacteristic, complemented
178#102×D71C2211yescharacteristic
179#102×D71C2211yescharacteristic
180#102×D71C2211yescharacteristic
181#102×D71C2211yescharacteristic
182#102×D71C2211yescharacteristic
183#102×D71C2211yescharacteristic
184#102×D71C2211yescharacteristic, complemented
185C22⋊C8×D71C2211yescharacteristic
186C22⋊C8×D71C2211yescharacteristic, complemented
187C4×C8×D71C2211yescharacteristic, complemented
188#553×C71C2211yescharacteristic, complemented
189#546×C71C2211yescharacteristic, complemented
190#488×C71C2211yescharacteristic, complemented
191#485×C71C2211yescharacteristic, complemented
192#480×C71C2211yescharacteristic, complemented
193#478×C71C2211yescharacteristic, complemented
194#469×C71C2211yescharacteristic, complemented
195#468×C71C2211yescharacteristic, complemented
196#463×C71C2211yescharacteristic, complemented
197#449×C71C2211yescharacteristic, complemented
198#447×C71C2211yescharacteristic, complemented
199C4×D8×C71C2211yescharacteristic, complemented
200#436×C71C2211yescharacteristic, complemented
201#418×C71C2211yescharacteristic, complemented
202#417×C71C2211yescharacteristic, complemented
203C24×D71—21no—
204C2×#11765866C2311yescharacteristic
205C2×#11765865—21no—
206C2×#11765865C2311yescharacteristic
207C2×#11765864—21no—
208C2×#11765864C2311yescharacteristic
209#41×D71—24no—
210#41×D71—42no—
211C2×Q8×D71C2311yescharacteristic
212C22×D284C2311yescharacteristic
213C22×C22⋊D71—21no—
214C2×D4×D71—24no—
215C2×D4×D71—21no—
216C2×D4×D71—21no—
217C2×D4×D71—21no—
218C2×D4×D71—21no—
219C2×D4×D71—21no—
220C2×D4×D71—21no—
221C2×D4×D71—42no—
222C2×D4×D71D411yescharacteristic
223C2×D4×D71C2311yescharacteristic
224C2×D4×D71C2311yescharacteristic
225C2×D4×D71C2311yescharacteristic
226C2×D4×D71C2311yescharacteristic
227C2×D4×D71C2311yescharacteristic
228C22×C4×D71—21no—
229C22×C4×D71—21no—
230C22×C4×D71—21no—
231C22×C4×D71—21no—
232C22×C4×D71C2311yescharacteristic
233C22×C4×D71C2311yescharacteristic
234C2×#11765854C2311yescharacteristic, complemented
235C2×#11765853C2311yescharacteristic, complemented
236C2×#11765852C2311yescharacteristic, complemented
237SD16×D71—42no—
238C2×D568C2311yescharacteristic
239C2×D568C2311yescharacteristic
240C2×#11765850C2311yescharacteristic
241C2×#11765850C2311yescharacteristic
242C2×#11765850C2311yescharacteristic
243C2×#11765850C2311yescharacteristic
244D8×D71—24no—
245D8×D71—42no—
246C2×#11765849C2311yescharacteristic
247C2×#11765849C2311yescharacteristic, complemented
248C2×#11765848C2311yescharacteristic
249C2×#11765848C2311yescharacteristic
250C2×#11765848C2311yescharacteristic, complemented
251C2×#11765848C2311yescharacteristic, complemented
252M16×D71—42no—
253M16×D71—42no—
254C2×C8×D71C2311yescharacteristic
255C2×C8×D71C2311yescharacteristic
256C2×C8×D71C2311yescharacteristic
257C2×C8×D71C2311yescharacteristic
258#14556123—21no—
259#14556123—21no—
260#14556123—21no—
261#14556122—21no—
262#14556121—21no—
263#14556121—21no—
264#14556121—21no—
265#14556120C2311yescharacteristic, complemented
266#14556119C2311yescharacteristic, complemented
267#14556119C2311yescharacteristic, complemented
268#14556118—21no—
269#14556118—21no—
270#14556117C2311yescharacteristic
271#14556116C2311yescharacteristic
272#14556115C2311yescharacteristic
273#14556114—21no—
274#14556114—21no—
275#14556113—21no—
276#14556113—21no—
277#14556113—21no—
278#14556113—21no—
279#14556112—21no—
280#14556112—21no—
281#14556111—21no—
282#14556111—21no—
283#14556110—21no—
284#14556110—21no—
285#14556110—21no—
286#14556110—21no—
287#14556109—21no—
288#14556109—21no—
289#14556108C2311yescharacteristic
290#14556107C2311yescharacteristic
291#14556106—21no—
292#14556105—21no—
293#14556104C2311yescharacteristic
294#14556103—21no—
295#14556103—21no—
296#14556103C2311yescharacteristic
297#14556103C2311yescharacteristic
298#14556103C2311yescharacteristic, complemented
299#14556102—21no—
300#14556102—21no—
301#14556102C2311yescharacteristic
302#14556102C2311yescharacteristic
303#14556102C2311yescharacteristic, complemented
304#14556101—21no—
305#14556101—21no—
306#14556101—21no—
307#14556101—21no—
308#14556101—21no—
309#14556101—21no—
310#14556101—21no—
311#14556100—21no—
312#14556100—21no—
313#14556100—21no—
314#14556100—21no—
315#14556100—21no—
316#14556100—21no—
317#14556100—21no—
318#14556099—21no—
319#14556099—21no—
320#14556099C2311yescharacteristic
321#14556099C2311yescharacteristic
322#14556099C2311yescharacteristic, complemented
323#14556098—21no—
324#14556098—21no—
325#14556098—21no—
326#14556097—21no—
327#14556096—21no—
328#14556096—21no—
329#14556096—21no—
330C4×D284—21no—
331C4×D284C2311yescharacteristic
332C4×D284C2311yescharacteristic
333C4×D284C2311yescharacteristic, complemented
334D4×Dic71—21no—
335D4×Dic71D411yescharacteristic
336D4×Dic71C2311yescharacteristic
337D4×Dic71C2311yescharacteristic, complemented
338#14556090—21no—
339#14556090D411yescharacteristic
340#14556090C2311yescharacteristic
341#14556090C2311yescharacteristic, complemented
342C4×C22⋊D71—21no—
343C4×C22⋊D71—21no—
344C4×C22⋊D71—21no—
345C4×C22⋊D71—21no—
346C4×C22⋊D71C2311yescharacteristic
347C4×C22⋊D71C2311yescharacteristic
348(C22⋊D71)⋊C4—21no—
349(C22⋊D71)⋊C4—21no—
350(C22⋊D71)⋊C4—21no—
351(C22⋊D71)⋊C4—21no—
352(C22⋊D71)⋊C4D411yescharacteristic
353(C22⋊D71)⋊C4D411yescharacteristic
354#14556087C2311yescharacteristic
355#14556086C2311yescharacteristic
356#14556086C2311yescharacteristic
357#14556085—21no—
358#14556084—21no—
359C2×C4⋊Dic71C2311yescharacteristic, complemented
360C2×Dic71⋊C4—21no—
361C4⋊C4×D71—21no—
362C4⋊C4×D71—21no—
363C4⋊C4×D71—21no—
364C4⋊C4×D71—21no—
365C4⋊C4×D71—21no—
366C4⋊C4×D71D411yescharacteristic
367C4⋊C4×D71C2311yescharacteristic
368C4⋊C4×D71C2311yescharacteristic
369C4⋊C4×D71C2311yescharacteristic
370C4⋊C4×D71C2311yescharacteristic
371C4⋊C4×D71C2311yescharacteristic, complemented
372C4⋊C4×D71C2311yescharacteristic, complemented
373C2×C22⋊Dic71—21no—
374C2×(C2×D71)⋊C4—21no—
375C2×(C2×D71)⋊C4—21no—
376C22⋊C4×D71—21no—
377C22⋊C4×D71—21no—
378C22⋊C4×D71—21no—
379C22⋊C4×D71—21no—
380C22⋊C4×D71—21no—
381C22⋊C4×D71—21no—
382C22⋊C4×D71—21no—
383C22⋊C4×D71—21no—
384C22⋊C4×D71—21no—
385C22⋊C4×D71—21no—
386C22⋊C4×D71—21no—
387C22⋊C4×D71—21no—
388C22⋊C4×D71—21no—
389C22⋊C4×D71D411yescharacteristic
390C22⋊C4×D71D411yescharacteristic
391C42×D71—21no—
392C42×D71C2311yescharacteristic
393#14556062C2311yescharacteristic, complemented
394#14556062C2311yescharacteristic, complemented
395#14556061C2311yescharacteristic, complemented
396#14556061C2311yescharacteristic, complemented
397#14556061C2311yescharacteristic, complemented
398#14556061C2311yescharacteristic, complemented
399#14556060C2311yescharacteristic, complemented
400#14556059C2311yescharacteristic, complemented
401#14556059C2311yescharacteristic, complemented
402C4⋊(C71⋊C8)C2311yescharacteristic, complemented
403Dic71⋊C8C2311yescharacteristic, complemented
404Dic71⋊C8C2311yescharacteristic, complemented
405#14556053C2311yescharacteristic, complemented
406#14556053C2311yescharacteristic, complemented
407#14556053C2311yescharacteristic, complemented
408#14556052C2311yescharacteristic, complemented
409#14556052C2311yescharacteristic, complemented
410#14556052C2311yescharacteristic, complemented
411#14556051C2311yescharacteristic, complemented
412#14556051C2311yescharacteristic, complemented
413#14556051C2311yescharacteristic, complemented
414#14556050C2311yescharacteristic
415#14556050C2311yescharacteristic
416#14556050C2311yescharacteristic
417#14556050C2311yescharacteristic
418#14556050C2311yescharacteristic
419#14556050C2311yescharacteristic
420#14556050C2311yescharacteristic, complemented
421#14556049C2311yescharacteristic
422#14556049C2311yescharacteristic
423#14556049C2311yescharacteristic
424#14556049C2311yescharacteristic
425#14556049C2311yescharacteristic
426#14556049C2311yescharacteristic
427#14556049C2311yescharacteristic, complemented
428#14556048C2311yescharacteristic
429#14556048C2311yescharacteristic
430#14556048C2311yescharacteristic
431#14556048C2311yescharacteristic
432#14556048C2311yescharacteristic
433#14556048C2311yescharacteristic
434#14556048C2311yescharacteristic, complemented
435C22⋊(C71⋊C8)C2311yescharacteristic
436C22⋊(C71⋊C8)C2311yescharacteristic, complemented
437(C2×D71)⋊C8C2311yescharacteristic
438(C2×D71)⋊C8C2311yescharacteristic
439(C2×D71)⋊C8C2311yescharacteristic, complemented
440(C2×D71)⋊C8C2311yescharacteristic, complemented
441C4×C71⋊C8C2311yescharacteristic, complemented
442C8×Dic71C2311yescharacteristic, complemented
443C8×Dic71C2311yescharacteristic, complemented
444C2×#41×C71C2311yescharacteristic
445C22×D4×C71C2311yescharacteristic
446C2×SD16×C71C2311yescharacteristic, complemented
447C2×D8×C71C2311yescharacteristic
448C2×D8×C71C2311yescharacteristic
449C2×M16×C71C2311yescharacteristic
450C2×M16×C71C2311yescharacteristic, complemented
451#126×C71—21no—
452#125×C71C2311yescharacteristic, complemented
453#124×C71C2311yescharacteristic
454#123×C71—21no—
455#123×C71—21no—
456C22⋊Q8×C71C2311yescharacteristic
457#121×C71—21no—
458#121×C71—21no—
459#121×C71C2311yescharacteristic
460#121×C71C2311yescharacteristic
461#121×C71C2311yescharacteristic, complemented
462#120×C71—21no—
463C4×D4×C71—21no—
464C4×D4×C71C2311yescharacteristic
465C4×D4×C71C2311yescharacteristic
466C4×D4×C71C2311yescharacteristic, complemented
467#117×C71C2311yescharacteristic
468C2×C4⋊C4×C71C2311yescharacteristic, complemented
469C2×C22⋊C4×C71—21no—
470#107×C71C2311yescharacteristic, complemented
471#107×C71C2311yescharacteristic, complemented
472#106×C71C2311yescharacteristic, complemented
473C4⋊C8×C71C2311yescharacteristic, complemented
474#103×C71C2311yescharacteristic, complemented
475#103×C71C2311yescharacteristic, complemented
476#103×C71C2311yescharacteristic, complemented
477#102×C71C2311yescharacteristic
478#102×C71C2311yescharacteristic
479#102×C71C2311yescharacteristic
480#102×C71C2311yescharacteristic
481#102×C71C2311yescharacteristic
482#102×C71C2311yescharacteristic
483#102×C71C2311yescharacteristic, complemented
484C22⋊C8×C71C2311yescharacteristic
485C22⋊C8×C71C2311yescharacteristic, complemented
486C4×C8×C71C2311yescharacteristic, complemented
487C23×D71—21no—
488C23×D71—21no—
489C23×D71—21no—
490C23×D71—21no—
491C23×D71—21no—
492C23×D71—21no—
493C23×D71—44no—
494C23×D71—44no—
495C23×D71—82no—
496C23×D71C2×D411yescharacteristic
497C23×D71C2×D411yescharacteristic
498#11765866—22no—
499#11765866—41no—
500#11765865—22no—
501#11765865—41no—
502#11765865—44no—
503#11765864—22no—
504#11765864—41no—
505#11765864—44no—
506C2×Dic142—21no—
507C2×Dic142C2411yescharacteristic
508Q8×D71—22no—
509Q8×D71—22no—
510C2×D284—22no—
511C2×D284—21no—
512C2×D284—21no—
513C2×D284—21no—
514C2×D284—21no—
515C2×D284—21no—
516C2×D284—41no—
517C2×D284C2×D411yescharacteristic
518C2×D284C2411yescharacteristic
519C2×D284C2411yescharacteristic
520C2×D284C2411yescharacteristic
521C2×C22⋊D71—21no—
522C2×C22⋊D71—21no—
523C2×C22⋊D71—21no—
524C2×C22⋊D71—21no—
525C2×C22⋊D71—21no—
526C2×C22⋊D71—21no—
527C2×C22⋊D71—21no—
528C2×C22⋊D71—21no—
529C2×C22⋊D71—21no—
530C2×C22⋊D71—21no—
531C2×C22⋊D71—21no—
532C2×C22⋊D71—21no—
533C2×C22⋊D71—21no—
534C2×C22⋊D71—44no—
535C2×C22⋊D71C2×D411yescharacteristic
536C2×C22⋊D71C2×D411yescharacteristic
537D4×D71—22no—
538D4×D71—22no—
539D4×D71—22no—
540D4×D71—22no—
541D4×D71—22no—
542D4×D71—22no—
543D4×D71—22no—
544D4×D71—41no—
545D4×D71—41no—
546D4×D71—44no—
547D4×D71—42no—
548D4×D71—44no—
549D4×D71—44no—
550D4×D71—44no—
551D4×D71—82no—
552D4×D71—82no—
553D4×D71#4114yes—
554C22×Dic71—21no—
555C22×Dic71—21no—
556C22×Dic71—21no—
557C22×Dic71—21no—
558C22×Dic71C2×D411yescharacteristic
559C22×Dic71C2×D411yescharacteristic
560C2×C4×D71—22no—
561C2×C4×D71—22no—
562C2×C4×D71—22no—
563C2×C4×D71—22no—
564C2×C4×D71—21no—
565C2×C4×D71—21no—
566C2×C4×D71—21no—
567C2×C4×D71—21no—
568C2×C4×D71—21no—
569C2×C4×D71—21no—
570C2×C4×D71—21no—
571C2×C4×D71—21no—
572C2×C4×D71—21no—
573C2×C4×D71—21no—
574C2×C4×D71—21no—
575C2×C4×D71—21no—
576C2×C4×D71—21no—
577C2×C4×D71—44no—
578C2×C4×D71—82no—
579C2×C4×D71—82no—
580C2×C4×D71—82no—
581C2×C4×D71C2×D411yescharacteristic
582C2×C4×D71C2×D411yescharacteristic
583C2×C4×D71C2×D411yescharacteristic
584C2×C4×D71C2×D411yescharacteristic
585C2×C4×D71C2×D411yescharacteristic
586C2×C4×D71C2×D411yescharacteristic
587C2×C4×D71C2411yescharacteristic
588C2×C4×D71C2411yescharacteristic
589C2×C4×D71C2411yescharacteristic
590#11765854—41no—
591#11765853—41no—
592#11765852—41no—
593D568—22no—
594D568—41no—
595#11765850—22no—
596#11765850—22no—
597#11765850—41no—
598#11765850—41no—
599#11765849—41no—
600#11765849—41no—
601#11765848—41no—
602#11765848—41no—
603#11765848—41no—
604#11765848—41no—
605C2×C71⋊C8C2411yescharacteristic
606C2×C71⋊C8C2411yescharacteristic
607C2×C71⋊C8C2411yescharacteristic
608C2×C71⋊C8C2411yescharacteristic
609C8×D71—22no—
610C8×D71—22no—
611C8×D71—22no—
612C8×D71—22no—
613C4⋊Dic71—21no—
614C4⋊Dic71—21no—
615C4⋊Dic71—21no—
616C4⋊Dic71—21no—
617C4⋊Dic71C2×D411yescharacteristic
618C4⋊Dic71C2411yescharacteristic
619C4⋊Dic71C2411yescharacteristic
620C4⋊Dic71C2411yescharacteristic
621C4⋊Dic71C2411yescharacteristic
622Dic71⋊C4—21no—
623Dic71⋊C4—21no—
624Dic71⋊C4—21no—
625Dic71⋊C4—21no—
626Dic71⋊C4—21no—
627Dic71⋊C4—21no—
628Dic71⋊C4—21no—
629Dic71⋊C4—21no—
630Dic71⋊C4—21no—
631Dic71⋊C4—21no—
632Dic71⋊C4—21no—
633Dic71⋊C4—21no—
634Dic71⋊C4C2×D411yescharacteristic
635Dic71⋊C4C2×D411yescharacteristic
636C22⋊Dic71—21no—
637C22⋊Dic71—21no—
638C22⋊Dic71—21no—
639C22⋊Dic71—21no—
640C22⋊Dic71—21no—
641C22⋊Dic71—21no—
642C22⋊Dic71—21no—
643C22⋊Dic71—21no—
644C22⋊Dic71—21no—
645C22⋊Dic71C2×D411yescharacteristic
646C22⋊Dic71C2×D411yescharacteristic
647(C2×D71)⋊C4—21no—
648(C2×D71)⋊C4—21no—
649(C2×D71)⋊C4—21no—
650(C2×D71)⋊C4—21no—
651(C2×D71)⋊C4—21no—
652(C2×D71)⋊C4—21no—
653(C2×D71)⋊C4—21no—
654(C2×D71)⋊C4—21no—
655(C2×D71)⋊C4—21no—
656(C2×D71)⋊C4—21no—
657(C2×D71)⋊C4—21no—
658(C2×D71)⋊C4—21no—
659(C2×D71)⋊C4—21no—
660(C2×D71)⋊C4—21no—
661(C2×D71)⋊C4—21no—
662(C2×D71)⋊C4—21no—
663(C2×D71)⋊C4—21no—
664(C2×D71)⋊C4—21no—
665(C2×D71)⋊C4C2×D411yescharacteristic
666(C2×D71)⋊C4C2×D411yescharacteristic
667(C2×D71)⋊C4C2×D411yescharacteristic
668(C2×D71)⋊C4C2×D411yescharacteristic
669C4×Dic71—21no—
670C4×Dic71—21no—
671C4×Dic71—21no—
672C4×Dic71C2×D411yescharacteristic
673C4×Dic71C2×D411yescharacteristic
674C4×Dic71C2411yescharacteristic
675C24×C71—21no—
676#41×C71—22no—
677#41×C71—41no—
678C2×Q8×C71C2411yescharacteristic
679C2×D4×C71—22no—
680C2×D4×C71—21no—
681C2×D4×C71—21no—
682C2×D4×C71—21no—
683C2×D4×C71—21no—
684C2×D4×C71—21no—
685C2×D4×C71—41no—
686C2×D4×C71C2×D411yescharacteristic
687C2×D4×C71C2411yescharacteristic
688C2×D4×C71C2411yescharacteristic
689C2×D4×C71C2411yescharacteristic
690C22×C4×C71—21no—
691C22×C4×C71—21no—
692C22×C4×C71—21no—
693C22×C4×C71—21no—
694C22×C4×C71C2411yescharacteristic
695C22×C4×C71C2411yescharacteristic
696SD16×C71—41no—
697D8×C71—22no—
698D8×C71—41no—
699M16×C71—41no—
700M16×C71—41no—
701C2×C8×C71C2411yescharacteristic
702C2×C8×C71C2411yescharacteristic
703C2×C8×C71C2411yescharacteristic
704C2×C8×C71C2411yescharacteristic
705C4⋊C4×C71—21no—
706C4⋊C4×C71—21no—
707C4⋊C4×C71—21no—
708C4⋊C4×C71—21no—
709C4⋊C4×C71C2×D411yescharacteristic
710C4⋊C4×C71C2411yescharacteristic
711C4⋊C4×C71C2411yescharacteristic
712C4⋊C4×C71C2411yescharacteristic
713C4⋊C4×C71C2411yescharacteristic
714C22⋊C4×C71—21no—
715C22⋊C4×C71—21no—
716C22⋊C4×C71—21no—
717C22⋊C4×C71—21no—
718C22⋊C4×C71—21no—
719C22⋊C4×C71—21no—
720C22⋊C4×C71—21no—
721C22⋊C4×C71—21no—
722C22⋊C4×C71—21no—
723C22⋊C4×C71C2×D411yescharacteristic
724C22⋊C4×C71C2×D411yescharacteristic
725C42×C71—21no—
726C42×C71C2411yescharacteristic
727C23×C71—21no—
728C23×C71—21no—
729C23×C71—21no—
730C23×C71—42no—
731C23×C71—42no—
732C23×C71—81no—
733C23×C71C22×D411yescharacteristic
734C23×C71C22×D411yescharacteristic
735C22×D71—21no—
736C22×D71—22no—
737C22×D71—22no—
738C22×D71—24no—
739C22×D71—22no—
740C22×D71—22no—
741C22×D71—22no—
742C22×D71—22no—
743C22×D71—21no—
744C22×D71—21no—
745C22×D71—42no—
746C22×D71—42no—
747C22×D71—42no—
748C22×D71—42no—
749C22×D71—42no—
750C22×D71—42no—
751C22×D71—42no—
752C22×D71—42no—
753C22×D71—42no—
754C22×D71—42no—
755C22×D71—42no—
756C22×D71—42no—
757C22×D71—42no—
758C22×D71—42no—
759C22×D71—81no—
760C22×D71—81no—
761C22×D71—81no—
762C22×D71—816no—
763C22×D71C22×D411yescharacteristic
764C22×D71C22×D411yescharacteristic
765C22×D71C22×D411yescharacteristic
766Q8×C71—21no—
767Q8×C71—21no—
768D4×C71—21no—
769D4×C71—21no—
770D4×C71—21no—
771D4×C71—21no—
772D4×C71—21no—
773D4×C71—41no—
774D4×C71—42no—
775D4×C71—42no—
776D4×C71—42no—
777D4×C71—81no—
778D4×C71—81no—
779D4×C71C2×#4112yes—
780C2×C4×C71—21no—
781C2×C4×C71—21no—
782C2×C4×C71—21no—
783C2×C4×C71—21no—
784C2×C4×C71—21no—
785C2×C4×C71—21no—
786C2×C4×C71—21no—
787C2×C4×C71—21no—
788C2×C4×C71—21no—
789C2×C4×C71—42no—
790C2×C4×C71—81no—
791C2×C4×C71—81no—
792C2×C4×C71—81no—
793C2×C4×C71C22×D411yescharacteristic
794C2×C4×C71C22×D411yescharacteristic
795C2×C4×C71C22×D411yescharacteristic
796C2×C4×C71C22×D411yescharacteristic
797C2×C4×C71C2511yescharacteristic
798C22⋊D71—24no—
799C22⋊D71—41no—
800C22⋊D71—41no—
801C22⋊D71—42no—
802C22⋊D71—42no—
803C22⋊D71—42no—
804C22⋊D71—42no—
805C22⋊D71—42no—
806C22⋊D71—42no—
807C22⋊D71—42no—
808C22⋊D71—42no—
809C22⋊D71—81no—
810C22⋊D71—81no—
811C22⋊D71—81no—
812C22⋊D71—81no—
813C2×Dic71—22no—
814C2×Dic71—22no—
815C2×Dic71—21no—
816C2×Dic71—21no—
817C2×Dic71—21no—
818C2×Dic71—21no—
819C2×Dic71—21no—
820C2×Dic71—42no—
821C2×Dic71—81no—
822C2×Dic71—81no—
823C2×Dic71—81no—
824C2×Dic71C22×D411yescharacteristic
825C2×Dic71C22×D411yescharacteristic
826C2×Dic71C22×D411yescharacteristic
827C2×Dic71C22×D411yescharacteristic
828C2×Dic71C22×D411yescharacteristic
829D284—21no—
830D284—21no—
831D284—21no—
832D284—21no—
833D284—21no—
834D284—41no—
835D284—42no—
836D284—42no—
837D284—42no—
838D284—81no—
839D284—81no—
840D284C2×#4112yes—
841C4×D71—22no—
842C4×D71—22no—
843C4×D71—22no—
844C4×D71—22no—
845C4×D71—21no—
846C4×D71—21no—
847C4×D71—21no—
848C4×D71—21no—
849C4×D71—22no—
850C4×D71—22no—
851C4×D71—42no—
852C4×D71—42no—
853C4×D71—42no—
854C4×D71—42no—
855C4×D71—42no—
856C4×D71—42no—
857C4×D71—42no—
858C4×D71—81no—
859C4×D71—81no—
860C4×D71—81no—
861C4×D71—81no—
862C4×D71—81no—
863C4×D71—81no—
864C4×D71C2×#4112yes—
865C4×D71H(5,𝔽2)12yes—
866Dic142—21no—
867Dic142—21no—
868Dic142—42no—
869C8×C71—21no—
870C8×C71—21no—
871C8×C71—21no—
872C8×C71—21no—
873C71⋊C8—21no—
874C71⋊C8—21no—
875C71⋊C8—21no—
876C71⋊C8—21no—
877C22×C71—21no—
878C22×C71—21no—
879C22×C71—22no—
880C22×C71—21no—
881C22×C71—21no—
882C22×C71—21no—
883C22×C71—21no—
884C22×C71—41no—
885C22×C71—41no—
886C22×C71—41no—
887C22×C71—41no—
888C22×C71—41no—
889C22×C71—41no—
890C22×C71—41no—
891C22×C71—41no—
892C22×C71—84no—
893C22×C71C23×D411yescharacteristic
894C2×D71—21no—
895C2×D71—21no—
896C2×D71—22no—
897C2×D71—21no—
898C2×D71—21no—
899C2×D71—21no—
900C2×D71—21no—
901C2×D71—41no—
902C2×D71—41no—
903C2×D71—44no—
904C2×D71—44no—
905C2×D71—48no—
906C2×D71—41no—
907C2×D71—41no—
908C2×D71—41no—
909C2×D71—41no—
910C2×D71—41no—
911C2×D71—41no—
912C2×D71—84no—
913C2×D71—84no—
914C2×D71—84no—
915C2×D71—84no—
916C2×D71—84no—
917C2×D71#54612yes—
918C2×D71#57512yes—
919C2×D71#57612yes—
920C4×C71—21no—
921C4×C71—21no—
922C4×C71—21no—
923C4×C71—21no—
924C4×C71—41no—
925C4×C71—41no—
926C4×C71—41no—
927C4×C71—41no—
928C4×C71—41no—
929C4×C71C22×#4111yescharacteristic
930C4×C71C2×H(5,𝔽2)11yescharacteristic
931Dic71—21no—
932Dic71—21no—
933Dic71—21no—
934Dic71—21no—
935Dic71—41no—
936Dic71—41no—
937Dic71—41no—
938Dic71—41no—
939Dic71—41no—
940Dic71#54612yes—
941C2×#3322—711nomaximal, Sylow
942C2×C71—41no—
943C2×C71—42no—
944C2×C71—41no—
945C2×C71—81no—
946C2×C71—81no—
947C2×C71C2×#54611yescharacteristic
948C2×C71C2×#57511yescharacteristic
949C2×C71C2×#57611yescharacteristic
950D71—41no—
951D71—41no—
952D71—42no—
953D71—81no—
954D71—81no—
955D71#332214yesdirect product factor
956C2×#553—711no—
957C2×#546—711no—
958#3322—711no—
959#3322—711no—
960#3322—711no—
961#3322—711no—
962#3322—711no—
963#3322—711no—
964#3322—711no—
965#3322—711no—
966#3322—711no—
967#3322—711no—
968#3322—711no—
969#3322—711no—
970#3322—711no—
971#3322—711no—
972#3322—711no—
973#3322D7111yescharacteristic, direct product factor
974C2×#488—711no—
975C2×#485—711no—
976C2×#480—711no—
977C2×#478—711no—
978C2×#469—711no—
979C2×#468—711no—
980C2×#463—711no—
981C2×#449—711no—
982C2×#447—711no—
983C2×C4×D8—711no—
984C2×#436—711no—
985C2×#417—711no—
986C2×#418—711no—
987C71C2×#332211yescharacteristic, complemented, Sylow
988C22×#41—711no—
989C23×D4—711no—
990C22×SD16—711no—
991C22×D8—711no—
992C22×D8—711no—
993C22×M16—711no—
994C22×M16—711no—
995#553—711no—
996#553—711no—
997#553—711no—
998#553—711no—
999#553—711no—
1000#553—711no—
1001#553—711no—
1002#553—1421no—
1003#553—1421no—
1004#553—1421no—
1005#553—1421no—
1006#553C2×D7111yescharacteristic, complemented
1007#546—711no—
1008#546—711no—
1009#546—711no—
1010#546—711no—
1011#546—711no—
1012#546—711no—
1013#546—711no—
1014#546—1421no—
1015#546—1421no—
1016#546—1421no—
1017#546—1421no—
1018#546C2×D7111yescharacteristic, complemented
1019C2×#126—1421no—
1020C2×#125—711no—
1021C2×#124—711no—
1022C2×#123—1421no—
1023C2×#123—1421no—
1024C2×C22⋊Q8—711no—
1025C2×#121—711no—
1026C2×#121—711no—
1027C2×#121—711no—
1028C2×#121—1421no—
1029C2×#121—1421no—
1030C2×#120—1421no—
1031C2×C4×D4—711no—
1032C2×C4×D4—711no—
1033C2×C4×D4—711no—
1034C2×C4×D4—1421no—
1035C2×#117—711no—
1036C22×C4⋊C4—711no—
1037C22×C22⋊C4—1421no—
1038#488—711no—
1039#488—711no—
1040#488—711no—
1041#488—711no—
1042#488—711no—
1043#488—711no—
1044#488—711no—
1045#488C2×D7111yescharacteristic, complemented
1046#485—711no—
1047#485—711no—
1048#485—711no—
1049#485—711no—
1050#485—711no—
1051#485—711no—
1052#485—711no—
1053#485C2×D7111yescharacteristic, complemented
1054#480—711no—
1055#480—711no—
1056#480—711no—
1057#480—711no—
1058#480—711no—
1059#480—711no—
1060#480—711no—
1061#480C2×D7111yescharacteristic, complemented
1062#478—711no—
1063#478—711no—
1064#478—711no—
1065#478—711no—
1066#478—711no—
1067#478—711no—
1068#478—711no—
1069#478C2×D7111yescharacteristic, complemented
1070#469—711no—
1071#469—711no—
1072#469—711no—
1073#469—711no—
1074#469—711no—
1075#469—711no—
1076#469—711no—
1077#469C2×D7111yescharacteristic, complemented
1078#468—711no—
1079#468—711no—
1080#468—711no—
1081#468—711no—
1082#468—711no—
1083#468—711no—
1084#468—711no—
1085#468C2×D7111yescharacteristic, complemented
1086#463—711no—
1087#463—711no—
1088#463—711no—
1089#463—711no—
1090#463—711no—
1091#463—711no—
1092#463—711no—
1093#463C2×D7111yescharacteristic, complemented
1094#449—711no—
1095#449—711no—
1096#449—711no—
1097#449—711no—
1098#449—711no—
1099#449—711no—
1100#449—711no—
1101#449C2×D7111yescharacteristic, complemented
1102#447—711no—
1103#447—711no—
1104#447—711no—
1105#447—711no—
1106#447—711no—
1107#447—711no—
1108#447—711no—
1109#447C2×D7111yescharacteristic, complemented
1110C4×D8—711no—
1111C4×D8—711no—
1112C4×D8—711no—
1113C4×D8—711no—
1114C4×D8—711no—
1115C4×D8—711no—
1116C4×D8—711no—
1117C4×D8C2×D7111yescharacteristic, complemented
1118#436—711no—
1119#436—711no—
1120#436—711no—
1121#436—711no—
1122#436—711no—
1123#436—711no—
1124#436—711no—
1125#436C2×D7111yescharacteristic, complemented
1126C2×#107—711no—
1127C2×#107—711no—
1128C2×#106—711no—
1129C2×C4⋊C8—711no—
1130#418—711no—
1131#418—711no—
1132#418—711no—
1133#418—711no—
1134#418—711no—
1135#418—711no—
1136#418—711no—
1137#418C2×D7111yescharacteristic, complemented
1138#417—711no—
1139#417—711no—
1140#417—711no—
1141#417—711no—
1142#417—711no—
1143#417—711no—
1144#417—711no—
1145#417C2×D7111yescharacteristic, complemented
1146C2×#103—711no—
1147C2×#103—711no—
1148C2×#103—711no—
1149C2×#102—711no—
1150C2×#102—711no—
1151C2×#102—711no—
1152C2×#102—711no—
1153C2×#102—711no—
1154C2×#102—711no—
1155C2×#102—711no—
1156C2×C22⋊C8—711no—
1157C2×C22⋊C8—711no—
1158C2×C4×C8—711no—
1159C25—1421no—
1160C2×#41—2842no—
1161C2×#41—711no—
1162C2×#41—711no—
1163C2×#41—711no—
1164C2×#41—1421no—
1165C2×#41—1424no—
1166C2×#41—1421no—
1167C2×#41C22×D7111yescharacteristic
1168C22×Q8—711no—
1169C22×D4—2842no—
1170C22×D4—711no—
1171C22×D4—711no—
1172C22×D4—711no—
1173C22×D4—711no—
1174C22×D4—711no—
1175C22×D4—711no—
1176C22×D4—711no—
1177C22×D4—1421no—
1178C22×D4—1421no—
1179C22×D4—1421no—
1180C22×D4—1421no—
1181C22×D4—1421no—
1182C22×D4—1424no—
1183C22×D4—1421no—
1184C22×D4—1421no—
1185C22×D4C22×D7111yescharacteristic
1186C23×C4—711no—
1187C23×C4—711no—
1188C23×C4—1421no—
1189C23×C4—1421no—
1190C23×C4—1421no—
1191C23×C4—1421no—
1192C2×SD16—2842no—
1193C2×SD16—711no—
1194C2×SD16—711no—
1195C2×SD16—711no—
1196C2×SD16C22×D7111yescharacteristic, complemented
1197C2×D8—2842no—
1198C2×D8—711no—
1199C2×D8—711no—
1200C2×D8—711no—
1201C2×D8—711no—
1202C2×D8—711no—
1203C2×D8—711no—
1204C2×D8—1424no—
1205C2×D8C22×D7111yescharacteristic
1206C2×D8C22×D7111yescharacteristic
1207C2×M16—2842no—
1208C2×M16—2842no—
1209C2×M16—711no—
1210C2×M16—711no—
1211C2×M16—711no—
1212C2×M16—711no—
1213C2×M16—711no—
1214C2×M16—711no—
1215C2×M16C22×D7111yescharacteristic
1216C2×M16C22×D7111yescharacteristic, complemented
1217C22×C8—711no—
1218C22×C8—711no—
1219C22×C8—711no—
1220C22×C8—711no—
1221#126—21no—
1222#126—1421no—
1223#126—1421no—
1224#126—1421no—
1225#126—1421no—
1226#126—1421no—
1227#126—1421no—
1228#126—1421no—
1229#125—711no—
1230#125—711no—
1231#125—711no—
1232#125—1421no—
1233#125—1421no—
1234#125C22×D7111yescharacteristic, complemented
1235#124—711no—
1236#124—711no—
1237#124—711no—
1238#124—1421no—
1239#124—1421no—
1240#124C22×D7111yescharacteristic
1241#123—21no—
1242#123—21no—
1243#123—1421no—
1244#123—1421no—
1245#123—1421no—
1246#123—1421no—
1247#123—1421no—
1248#123—1421no—
1249#123—1421no—
1250#123—1421no—
1251#123—1421no—
1252#123—1421no—
1253#123—1421no—
1254#123—1421no—
1255#123—1421no—
1256#123—1421no—
1257C22⋊Q8—711no—
1258C22⋊Q8—711no—
1259C22⋊Q8—711no—
1260C22⋊Q8—1421no—
1261C22⋊Q8—1421no—
1262C22⋊Q8C22×D7111yescharacteristic
1263#121—21no—
1264#121—21no—
1265#121—711no—
1266#121—711no—
1267#121—711no—
1268#121—711no—
1269#121—711no—
1270#121—711no—
1271#121—711no—
1272#121—711no—
1273#121—711no—
1274#121—1421no—
1275#121—1421no—
1276#121—1421no—
1277#121—1421no—
1278#121—1421no—
1279#121—1421no—
1280#121—1421no—
1281#121—1421no—
1282#121—1421no—
1283#121—1421no—
1284#121—1421no—
1285#121—1421no—
1286#121—1421no—
1287#121—1421no—
1288#121—1421no—
1289#121—1421no—
1290#121—1421no—
1291#121—1421no—
1292#121—1421no—
1293#121—1421no—
1294#121C22×D7111yescharacteristic
1295#121C22×D7111yescharacteristic
1296#121C22×D7111yescharacteristic, complemented
1297#120—21no—
1298#120—1421no—
1299#120—1421no—
1300#120—1421no—
1301#120—1421no—
1302#120—1421no—
1303#120—1421no—
1304#120—1421no—
1305C4×D4—21no—
1306C4×D4—711no—
1307C4×D4—711no—
1308C4×D4—711no—
1309C4×D4—711no—
1310C4×D4—711no—
1311C4×D4—711no—
1312C4×D4—711no—
1313C4×D4—711no—
1314C4×D4—711no—
1315C4×D4—711no—
1316C4×D4—711no—
1317C4×D4—711no—
1318C4×D4—711no—
1319C4×D4—1421no—
1320C4×D4—1421no—
1321C4×D4—1421no—
1322C4×D4—1421no—
1323C4×D4—1421no—
1324C4×D4—1421no—
1325C4×D4—1421no—
1326C4×D4—1421no—
1327C4×D4—1421no—
1328C4×D4—1421no—
1329C4×D4—1421no—
1330C4×D4C22×D7111yescharacteristic
1331C4×D4C22×D7111yescharacteristic
1332C4×D4C22×D7111yescharacteristic, complemented
1333#117—711no—
1334#117—711no—
1335#117—711no—
1336#117—1421no—
1337#117—1421no—
1338#117C22×D7111yescharacteristic
1339C2×C4⋊C4—711no—
1340C2×C4⋊C4—711no—
1341C2×C4⋊C4—711no—
1342C2×C4⋊C4—711no—
1343C2×C4⋊C4—711no—
1344C2×C4⋊C4—711no—
1345C2×C4⋊C4—711no—
1346C2×C4⋊C4—711no—
1347C2×C4⋊C4—1421no—
1348C2×C4⋊C4—1421no—
1349C2×C4⋊C4—1421no—
1350C2×C4⋊C4—1421no—
1351C2×C4⋊C4—1421no—
1352C2×C4⋊C4—1421no—
1353C2×C4⋊C4C22×D7111yescharacteristic, complemented
1354C2×C22⋊C4—21no—
1355C2×C22⋊C4—711no—
1356C2×C22⋊C4—711no—
1357C2×C22⋊C4—1421no—
1358C2×C22⋊C4—1421no—
1359C2×C22⋊C4—1421no—
1360C2×C22⋊C4—1421no—
1361C2×C22⋊C4—1421no—
1362C2×C22⋊C4—1421no—
1363C2×C22⋊C4—1421no—
1364C2×C22⋊C4—1421no—
1365C2×C22⋊C4—1421no—
1366C2×C22⋊C4—1421no—
1367C2×C22⋊C4—1421no—
1368C2×C22⋊C4—1421no—
1369C2×C22⋊C4—1421no—
1370C2×C22⋊C4—1421no—
1371C2×C22⋊C4—1421no—
1372C2×C22⋊C4—1421no—
1373C2×C42—711no—
1374C2×C42—1421no—
1375#107—711no—
1376#107—711no—
1377#107—711no—
1378#107—711no—
1379#107—711no—
1380#107—711no—
1381#107C22×D7111yescharacteristic, complemented
1382#107C22×D7111yescharacteristic, complemented
1383#106—711no—
1384#106—711no—
1385#106—711no—
1386#106C22×D7111yescharacteristic, complemented
1387C4⋊C8—711no—
1388C4⋊C8—711no—
1389C4⋊C8—711no—
1390C4⋊C8C22×D7111yescharacteristic, complemented
1391#103—711no—
1392#103—711no—
1393#103—711no—
1394#103—711no—
1395#103—711no—
1396#103—711no—
1397#103—711no—
1398#103—711no—
1399#103—711no—
1400#103C22×D7111yescharacteristic, complemented
1401#103C22×D7111yescharacteristic, complemented
1402#103C22×D7111yescharacteristic, complemented
1403#102—711no—
1404#102—711no—
1405#102—711no—
1406#102—711no—
1407#102—711no—
1408#102—711no—
1409#102—711no—
1410#102—711no—
1411#102—711no—
1412#102—711no—
1413#102—711no—
1414#102—711no—
1415#102—711no—
1416#102—711no—
1417#102—711no—
1418#102—711no—
1419#102—711no—
1420#102—711no—
1421#102—711no—
1422#102—711no—
1423#102—711no—
1424#102C22×D7111yescharacteristic
1425#102C22×D7111yescharacteristic
1426#102C22×D7111yescharacteristic
1427#102C22×D7111yescharacteristic
1428#102C22×D7111yescharacteristic
1429#102C22×D7111yescharacteristic
1430#102C22×D7111yescharacteristic, complemented
1431C22⋊C8—711no—
1432C22⋊C8—711no—
1433C22⋊C8—711no—
1434C22⋊C8—711no—
1435C22⋊C8—711no—
1436C22⋊C8—711no—
1437C22⋊C8C22×D7111yescharacteristic
1438C22⋊C8C22×D7111yescharacteristic, complemented
1439C4×C8—711no—
1440C4×C8—711no—
1441C4×C8—711no—
1442C4×C8C22×D7111yescharacteristic, complemented
1443C24—21no—
1444C24—2844no—
1445C24—2844no—
1446C24—5682no—
1447C24—711no—
1448C24—711no—
1449C24—1421no—
1450C24—1421no—
1451C24—1421no—
1452C24—1421no—
1453C24—1421no—
1454C24—1421no—
1455#41—22no—
1456#41—41no—
1457#41—2841no—
1458#41—2844no—
1459#41—2841no—
1460#41—2844no—
1461#41—2841no—
1462#41—1422no—
1463#41—1422no—
1464#41—1422no—
1465C2×Q8—711no—
1466C2×Q8—1421no—
1467C2×Q8—1422no—
1468C2×Q8—1422no—
1469C2×Q8C23×D7111yescharacteristic
1470C2×D4—22no—
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—41no—
1477C2×D4—2841no—
1478C2×D4—2844no—
1479C2×D4—2844no—
1480C2×D4—2841no—
1481C2×D4—2841no—
1482C2×D4—2844no—
1483C2×D4—2842no—
1484C2×D4—2844no—
1485C2×D4—2844no—
1486C2×D4—5682no—
1487C2×D4—5682no—
1488C2×D4—711no—
1489C2×D4—711no—
1490C2×D4—714no—
1491C2×D4—711no—
1492C2×D4—711no—
1493C2×D4—711no—
1494C2×D4—711no—
1495C2×D4—1421no—
1496C2×D4—1421no—
1497C2×D4—1422no—
1498C2×D4—1421no—
1499C2×D4—1421no—
1500C2×D4—1422no—
1501C2×D4—1422no—
1502C2×D4—1422no—
1503C2×D4—1422no—
1504C2×D4—1422no—
1505C2×D4—1421no—
1506C2×D4—1421no—
1507C2×D4—1421no—
1508C2×D4—1421no—
1509C2×D4—1421no—
1510C2×D4—1422no—
1511C2×D4—1421no—
1512C2×D4—1421no—
1513C2×D4—1421no—
1514C2×D4—1421no—
1515C2×D4—1422no—
1516C2×D4—1421no—
1517C2×D4—1421no—
1518C2×D4—1421no—
1519C2×D4—1421no—
1520C2×D4—1421no—
1521C2×D4D4×D7111yescharacteristic
1522C2×D4C23×D7111yescharacteristic
1523C2×D4C23×D7111yescharacteristic
1524C2×D4C23×D7111yescharacteristic
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—2844no—
1530C22×C4—5682no—
1531C22×C4—5682no—
1532C22×C4—5682no—
1533C22×C4—711no—
1534C22×C4—711no—
1535C22×C4—711no—
1536C22×C4—711no—
1537C22×C4—711no—
1538C22×C4—711no—
1539C22×C4—711no—
1540C22×C4—711no—
1541C22×C4—711no—
1542C22×C4—711no—
1543C22×C4—711no—
1544C22×C4—1421no—
1545C22×C4—1421no—
1546C22×C4—1421no—
1547C22×C4—1421no—
1548C22×C4—1421no—
1549C22×C4—1421no—
1550C22×C4—1421no—
1551C22×C4—1421no—
1552C22×C4—1421no—
1553C22×C4—1421no—
1554C22×C4—1422no—
1555C22×C4—1422no—
1556C22×C4—1422no—
1557C22×C4—1422no—
1558C22×C4—1421no—
1559C22×C4—1421no—
1560C22×C4—1421no—
1561C22×C4—1421no—
1562C22×C4—1421no—
1563C22×C4—1421no—
1564C22×C4—1421no—
1565C22×C4C23×D7111yescharacteristic
1566C22×C4C23×D7111yescharacteristic
1567SD16—41no—
1568SD16—2841no—
1569SD16—2841no—
1570SD16—2841no—
1571D8—22no—
1572D8—41no—
1573D8—2841no—
1574D8—2841no—
1575D8—2841no—
1576D8—1422no—
1577D8—1422no—
1578D8—1422no—
1579M16—41no—
1580M16—41no—
1581M16—2841no—
1582M16—2841no—
1583M16—2841no—
1584M16—2841no—
1585M16—2841no—
1586M16—2841no—
1587C2×C8—711no—
1588C2×C8—711no—
1589C2×C8—711no—
1590C2×C8—711no—
1591C2×C8—1422no—
1592C2×C8—1422no—
1593C2×C8—1422no—
1594C2×C8—1422no—
1595C2×C8C23×D7111yescharacteristic
1596C2×C8C23×D7111yescharacteristic
1597C2×C8C23×D7111yescharacteristic
1598C2×C8C23×D7111yescharacteristic
1599C4⋊C4—21no—
1600C4⋊C4—21no—
1601C4⋊C4—21no—
1602C4⋊C4—21no—
1603C4⋊C4—711no—
1604C4⋊C4—711no—
1605C4⋊C4—711no—
1606C4⋊C4—711no—
1607C4⋊C4—711no—
1608C4⋊C4—711no—
1609C4⋊C4—711no—
1610C4⋊C4—1421no—
1611C4⋊C4—1421no—
1612C4⋊C4—1421no—
1613C4⋊C4—1421no—
1614C4⋊C4—1421no—
1615C4⋊C4—1421no—
1616C4⋊C4—1421no—
1617C4⋊C4—1421no—
1618C4⋊C4—1421no—
1619C4⋊C4—1421no—
1620C4⋊C4—1421no—
1621C4⋊C4—1421no—
1622C4⋊C4—1421no—
1623C4⋊C4—1421no—
1624C4⋊C4—1421no—
1625C4⋊C4—1421no—
1626C4⋊C4D4×D7111yescharacteristic
1627C4⋊C4C23×D7111yescharacteristic
1628C4⋊C4C23×D7111yescharacteristic
1629C4⋊C4C23×D7111yescharacteristic
1630C4⋊C4C23×D7111yescharacteristic
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—711no—
1641C22⋊C4—711no—
1642C22⋊C4—711no—
1643C22⋊C4—711no—
1644C22⋊C4—711no—
1645C22⋊C4—711no—
1646C22⋊C4—1421no—
1647C22⋊C4—1421no—
1648C22⋊C4—1421no—
1649C22⋊C4—1421no—
1650C22⋊C4—1421no—
1651C22⋊C4—1421no—
1652C22⋊C4—1421no—
1653C22⋊C4—1421no—
1654C22⋊C4—1421no—
1655C22⋊C4—1421no—
1656C22⋊C4—1421no—
1657C22⋊C4—1421no—
1658C22⋊C4—1421no—
1659C22⋊C4—1421no—
1660C22⋊C4—1421no—
1661C22⋊C4—1421no—
1662C22⋊C4—1421no—
1663C22⋊C4—1421no—
1664C22⋊C4—1421no—
1665C22⋊C4—1421no—
1666C22⋊C4—1421no—
1667C22⋊C4—1421no—
1668C22⋊C4—1421no—
1669C22⋊C4—1421no—
1670C22⋊C4—1421no—
1671C22⋊C4—1421no—
1672C22⋊C4—1421no—
1673C22⋊C4D4×D7111yescharacteristic
1674C22⋊C4D4×D7111yescharacteristic
1675C42—21no—
1676C42—711no—
1677C42—711no—
1678C42—711no—
1679C42—1421no—
1680C42—1421no—
1681C42—1421no—
1682C42C23×D7111yescharacteristic
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—42no—
1687C23—42no—
1688C23—81no—
1689C23—2842no—
1690C23—2842no—
1691C23—2842no—
1692C23—2842no—
1693C23—2842no—
1694C23—2842no—
1695C23—2842no—
1696C23—2842no—
1697C23—2842no—
1698C23—2842no—
1699C23—2842no—
1700C23—2842no—
1701C23—2842no—
1702C23—2842no—
1703C23—5681no—
1704C23—5681no—
1705C23—5681no—
1706C23—56816no—
1707C23—711no—
1708C23—711no—
1709C23—711no—
1710C23—1424no—
1711C23—1422no—
1712C23—1422no—
1713C23—1422no—
1714C23—1422no—
1715C23—1422no—
1716C23—1422no—
1717C23—1421no—
1718C23—1421no—
1719C23—1421no—
1720C23C2×D4×D7111yescharacteristic
1721C23C2×D4×D7111yescharacteristic
1722Q8—21no—
1723Q8—21no—
1724Q8—2842no—
1725Q8—1421no—
1726Q8—1421no—
1727D4—21no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—41no—
1733D4—42no—
1734D4—42no—
1735D4—42no—
1736D4—81no—
1737D4—81no—
1738D4—2842no—
1739D4—2841no—
1740D4—2842no—
1741D4—2842no—
1742D4—2842no—
1743D4—2842no—
1744D4—2842no—
1745D4—2842no—
1746D4—2842no—
1747D4—2842no—
1748D4—2842no—
1749D4—2841no—
1750D4—2841no—
1751D4—2842no—
1752D4—5681no—
1753D4—5681no—
1754D4—5681no—
1755D4—5681no—
1756D4—5681no—
1757D4—5681no—
1758D4—712no—
1759D4—1424no—
1760D4—1421no—
1761D4—1421no—
1762D4—1421no—
1763D4—1421no—
1764D4—1421no—
1765D4#41×D7112yes—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—42no—
1776C2×C4—81no—
1777C2×C4—81no—
1778C2×C4—81no—
1779C2×C4—2842no—
1780C2×C4—2842no—
1781C2×C4—2842no—
1782C2×C4—2842no—
1783C2×C4—2842no—
1784C2×C4—2842no—
1785C2×C4—2842no—
1786C2×C4—2842no—
1787C2×C4—5681no—
1788C2×C4—5681no—
1789C2×C4—5681no—
1790C2×C4—5681no—
1791C2×C4—5681no—
1792C2×C4—5681no—
1793C2×C4—5681no—
1794C2×C4—5681no—
1795C2×C4—5681no—
1796C2×C4—711no—
1797C2×C4—712no—
1798C2×C4—712no—
1799C2×C4—711no—
1800C2×C4—711no—
1801C2×C4—711no—
1802C2×C4—711no—
1803C2×C4—1422no—
1804C2×C4—1422no—
1805C2×C4—1422no—
1806C2×C4—1422no—
1807C2×C4—1422no—
1808C2×C4—1422no—
1809C2×C4—1421no—
1810C2×C4—1421no—
1811C2×C4—1421no—
1812C2×C4—1421no—
1813C2×C4—1421no—
1814C2×C4—1422no—
1815C2×C4—1422no—
1816C2×C4—1421no—
1817C2×C4—1421no—
1818C2×C4—1421no—
1819C2×C4—1421no—
1820C2×C4C2×D4×D7111yescharacteristic
1821C2×C4C2×D4×D7111yescharacteristic
1822C2×C4C2×D4×D7111yescharacteristic
1823C2×C4C2×D4×D7111yescharacteristic
1824C2×C4C24×D7111yescharacteristic
1825C8—21no—
1826C8—21no—
1827C8—21no—
1828C8—21no—
1829C8—1421no—
1830C8—1421no—
1831C8—1421no—
1832C8—1421no—
1833C22—21no—
1834C22—21no—
1835C22—22no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—84no—
1849C22—2848no—
1850C22—2844no—
1851C22—2844no—
1852C22—2841no—
1853C22—2841no—
1854C22—2841no—
1855C22—2841no—
1856C22—2841no—
1857C22—2841no—
1858C22—2841no—
1859C22—2841no—
1860C22—5684no—
1861C22—5684no—
1862C22—5684no—
1863C22—5684no—
1864C22—5684no—
1865C22—712no—
1866C22—712no—
1867C22—712no—
1868C22—1422no—
1869C22—1421no—
1870C22—1421no—
1871C22—1421no—
1872C22—1421no—
1873C22—1421no—
1874C22—1421no—
1875C22C22×D4×D7111yescharacteristic
1876C4—21no—
1877C4—21no—
1878C4—21no—
1879C4—21no—
1880C4—41no—
1881C4—41no—
1882C4—41no—
1883C4—41no—
1884C4—41no—
1885C4—2841no—
1886C4—2841no—
1887C4—2841no—
1888C4—2841no—
1889C4—2841no—
1890C4—712no—
1891C4—1421no—
1892C4—1421no—
1893C4—1421no—
1894C4—1421no—
1895C4C2×#41×D7111yescharacteristic
1896C4H(5,𝔽2)×D7111yescharacteristic
1897C2—41no—
1898C2—41no—
1899C2—42no—
1900C2—81no—
1901C2—81no—
1902C2—2842no—
1903C2—2841no—
1904C2—2841no—
1905C2—5681no—
1906C2—5681no—
1907C2—714no—
1908C2#546×D7111yescharacteristic
1909C2#575×D7111yescharacteristic
1910C2#576×D7111yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3322C2
socleC22×C71C23×D4
hypercenter#3322D71
hypocenterC71C2×#3322
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3322

Complements

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

NH ≅ G/Ntype
1. #553×D71C2semidirect
2. #546×D71C2semidirect
3. #22600548C2semidirect
4. #22600547C2semidirect
5. #22600546C2semidirect
6. #22600545C2semidirect
7. #22600544C2semidirect
8. #22600543C2semidirect
9. #22600542C2semidirect
10. #22600541C2semidirect
11. #22600540C2semidirect
12. #22600539C2semidirect
13. #22600538C2semidirect
14. #22600537C2semidirect
15. #22600536C2semidirect
16. #22600535C2semidirect
17. #22600534C2semidirect
18. #488×D71C2semidirect
19. #485×D71C2semidirect
20. #480×D71C2semidirect
21. #478×D71C2semidirect
22. #469×D71C2semidirect
23. #468×D71C2semidirect
24. #463×D71C2semidirect
25. #449×D71C2semidirect
26. #447×D71C2semidirect
27. C4×D8×D71C2semidirect
28. #436×D71C2semidirect
29. #417×D71C2semidirect
30. #418×D71C2semidirect
31. C71×#3322C2semidirect
34. C2×SD16×D71C22semidirect
38. C2×M16×D71C22semidirect
39. #17986702C22semidirect
40. #17986701C22semidirect
42. #17986699C22semidirect
44. #17986697C22semidirect
45. #17986696C22semidirect
46. #17986695C22semidirect
48. #17986693C22semidirect
50. #17986646C22semidirect
51. #17986645C22semidirect
52. #17986644C22semidirect
53. #17986643C22semidirect
54. #17986642C22semidirect
56. #17986640C22semidirect
59. #17986637C22semidirect
62. #125×D71C22semidirect
71. #121×D71C22semidirect
76. C4×D4×D71C22semidirect
78. C2×C4⋊C4×D71C22semidirect
80. #17986356C22semidirect
81. #17986355C22semidirect
82. #17986355C22semidirect
83. #17986354C22semidirect
84. #17986353C22semidirect
85. #17986352C22semidirect
86. #17986352C22semidirect
87. #17986343C22semidirect
88. #17986342C22semidirect
89. #17986341C22semidirect
90. #17986340C22semidirect
91. #17986339C22semidirect
92. #17986338C22semidirect
93. #17986337C22semidirect
94. #17986314C22semidirect
95. #17986314C22semidirect
96. #17986313C22semidirect
97. #17986312C22semidirect
98. #17986311C22semidirect
99. #17986311C22semidirect
100. #17986310C22semidirect
101. #17986302C22semidirect
102. #17986301C22semidirect
103. #17986300C22semidirect
104. #17986299C22semidirect
105. #17986298C22semidirect
106. #17986297C22semidirect
107. #17986296C22semidirect
108. #17986253C22semidirect
109. #17986252C22semidirect
110. #17986251C22semidirect
111. #17986251C22semidirect
112. #17986250C22semidirect
113. #17986250C22semidirect
114. #17986249C22semidirect
115. #17986248C22semidirect
116. #17986247C22semidirect
117. #17986246C22semidirect
118. #17986245C22semidirect
119. #17986244C22semidirect
120. #17986243C22semidirect
121. #17986242C22semidirect
122. #17986217C22semidirect
123. #17986216C22semidirect
124. #17986215C22semidirect
125. #17986214C22semidirect
126. #17986213C22semidirect
127. #17986212C22semidirect
128. #17986211C22semidirect
129. #17986147C22semidirect
130. #17986146C22semidirect
131. #17986145C22semidirect
132. #17986144C22semidirect
133. #17986143C22semidirect
134. #17986142C22semidirect
135. #17986141C22semidirect
136. #17986135C22semidirect
137. #17986134C22semidirect
138. #17986134C22semidirect
139. #17986133C22semidirect
140. #17986132C22semidirect
141. #17986131C22semidirect
142. #17986131C22semidirect
143. C4×D568C22semidirect
144. D8×Dic71C22semidirect
145. #17986081C22semidirect
146. C4×#11765850C22semidirect
147. C4×#11765850C22semidirect
148. #17986079C22semidirect
149. #17986079C22semidirect
150. #17986078C22semidirect
151. #17986077C22semidirect
152. #17986076C22semidirect
153. #17986075C22semidirect
154. #17986075C22semidirect
155. #17986074C22semidirect
156. #17986074C22semidirect
157. #107×D71C22semidirect
158. #107×D71C22semidirect
159. #106×D71C22semidirect
160. C4⋊C8×D71C22semidirect
161. #17986005C22semidirect
162. #17986004C22semidirect
163. #17986003C22semidirect
164. #17986002C22semidirect
165. #17986002C22semidirect
166. #17986002C22semidirect
167. #17986002C22semidirect
168. #17986001C22semidirect
169. #17986000C22semidirect
170. #17985999C22semidirect
171. #17985999C22semidirect
172. #17985998C22semidirect
173. #17985997C22semidirect
174. #17985997C22semidirect
175. #103×D71C22semidirect
176. #103×D71C22semidirect
177. #103×D71C22semidirect
184. #102×D71C22semidirect
186. C22⋊C8×D71C22semidirect
187. C4×C8×D71C22semidirect
188. #553×C71C22semidirect
189. #546×C71C22semidirect
190. #488×C71C22semidirect
191. #485×C71C22semidirect
192. #480×C71C22semidirect
193. #478×C71C22semidirect
194. #469×C71C22semidirect
195. #468×C71C22semidirect
196. #463×C71C22semidirect
197. #449×C71C22semidirect
198. #447×C71C22semidirect
199. C4×D8×C71C22semidirect
200. #436×C71C22semidirect
201. #418×C71C22semidirect
202. #417×C71C22semidirect
234. C2×#11765854C23semidirect
235. C2×#11765853C23semidirect
236. C2×#11765852C23semidirect
247. C2×#11765849C23semidirect
250. C2×#11765848C23semidirect
251. C2×#11765848C23semidirect
265. #14556120C23semidirect
266. #14556119C23semidirect
267. #14556119C23semidirect
298. #14556103C23semidirect
303. #14556102C23semidirect
322. #14556099C23semidirect
333. C4×D284C23semidirect
337. D4×Dic71C23semidirect
341. #14556090C23semidirect
359. C2×C4⋊Dic71C23semidirect
371. C4⋊C4×D71C23semidirect
372. C4⋊C4×D71C23semidirect
393. #14556062C23semidirect
394. #14556062C23semidirect
395. #14556061C23semidirect
396. #14556061C23semidirect
397. #14556061C23semidirect
398. #14556061C23semidirect
399. #14556060C23semidirect
400. #14556059C23semidirect
401. #14556059C23semidirect
402. C4⋊(C71⋊C8)C23semidirect
403. Dic71⋊C8C23semidirect
404. Dic71⋊C8C23semidirect
405. #14556053C23semidirect
406. #14556053C23semidirect
407. #14556053C23semidirect
408. #14556052C23semidirect
409. #14556052C23semidirect
410. #14556052C23semidirect
411. #14556051C23semidirect
412. #14556051C23semidirect
413. #14556051C23semidirect
420. #14556050C23semidirect
427. #14556049C23semidirect
434. #14556048C23semidirect
436. C22⋊(C71⋊C8)C23semidirect
439. (C2×D71)⋊C8C23semidirect
440. (C2×D71)⋊C8C23semidirect
441. C4×C71⋊C8C23semidirect
442. C8×Dic71C23semidirect
443. C8×Dic71C23semidirect
446. C2×SD16×C71C23semidirect
450. C2×M16×C71C23semidirect
452. #125×C71C23semidirect
461. #121×C71C23semidirect
466. C4×D4×C71C23semidirect
468. C2×C4⋊C4×C71C23semidirect
470. #107×C71C23semidirect
471. #107×C71C23semidirect
472. #106×C71C23semidirect
473. C4⋊C8×C71C23semidirect
474. #103×C71C23semidirect
475. #103×C71C23semidirect
476. #103×C71C23semidirect
483. #102×C71C23semidirect
485. C22⋊C8×C71C23semidirect
486. C4×C8×C71C23semidirect
955. D71#3322direct (N × H)
973. #3322D71direct (N × H)
987. C71C2×#3322semidirect
1006. #553C2×D71semidirect
1018. #546C2×D71semidirect
1045. #488C2×D71semidirect
1053. #485C2×D71semidirect
1061. #480C2×D71semidirect
1069. #478C2×D71semidirect
1077. #469C2×D71semidirect
1085. #468C2×D71semidirect
1093. #463C2×D71semidirect
1101. #449C2×D71semidirect
1109. #447C2×D71semidirect
1117. C4×D8C2×D71semidirect
1125. #436C2×D71semidirect
1137. #418C2×D71semidirect
1145. #417C2×D71semidirect
1196. C2×SD16C22×D71semidirect
1216. C2×M16C22×D71semidirect
1234. #125C22×D71semidirect
1296. #121C22×D71semidirect
1332. C4×D4C22×D71semidirect
1353. C2×C4⋊C4C22×D71semidirect
1381. #107C22×D71semidirect
1382. #107C22×D71semidirect
1386. #106C22×D71semidirect
1390. C4⋊C8C22×D71semidirect
1400. #103C22×D71semidirect
1401. #103C22×D71semidirect
1402. #103C22×D71semidirect
1430. #102C22×D71semidirect
1438. C22⋊C8C22×D71semidirect
1442. C4×C8C22×D71semidirect

Maximal subgroups

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

subgroupindex
#553×D712
#546×D712
#226005482
#226005472
#226005462
#226005452
#226005442
#226005432
#226005422
#226005412
#226005402
#226005392
#226005382
#226005372
#226005362
#226005352
#226005342
#488×D712
#485×D712
#480×D712
#478×D712
#469×D712
#468×D712
#463×D712
#449×D712
#447×D712
C4×D8×D712
#436×D712
#417×D712
#418×D712
C71×#33222
C2×#332271