Finite Group Databasebeta

← #32883018

Subgroups — #32883018

Order 18176.

2226 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22602621C211yesmaximal, characteristic, complemented
2#22601971C211yesmaximal, characteristic, complemented
3#22600564C211yesmaximal, characteristic, complemented
4#22600557C211yesmaximal, characteristic, complemented
5#22600474C211yesmaximal, characteristic, complemented
6#22600422C211yesmaximal, characteristic, complemented
7#22600380C211yesmaximal, characteristic, complemented
8#22600357C211yesmaximal, characteristic, complemented
9#22600183C211yesmaximal, characteristic, complemented
10#22600160C211yesmaximal, characteristic, complemented
11#22600041C211yesmaximal, characteristic, complemented
12#22600034C211yesmaximal, characteristic, complemented
13#22599969C211yesmaximal, characteristic, complemented
14#22599934C211yesmaximal, characteristic, complemented
15#22599865C211yesmaximal, characteristic, complemented
16#22599848C211yesmaximal, characteristic, complemented
17#22599839C211yesmaximal, characteristic, complemented
18#22599829C211yesmaximal, characteristic, complemented
19#22599432C211yesmaximal, characteristic, complemented
20#22599410C211yesmaximal, characteristic, complemented
21#22599213C211yesmaximal, characteristic, complemented
22#22599186C211yesmaximal, characteristic, complemented
23#22599168C211yesmaximal, characteristic, complemented
24#22599130C211yesmaximal, characteristic, complemented
25#22598586C211yesmaximal, characteristic, complemented
26#22598517C211yesmaximal, characteristic, complemented
27#22597617C211yesmaximal, characteristic, complemented
28#22597564C211yesmaximal, characteristic, complemented
29#450×D71C211yesmaximal, characteristic, complemented
30#22597383C211yesmaximal, characteristic, complemented
31C71×#3012C211yesmaximal, characteristic, complemented
32C22×D4×D71C2211yescharacteristic
33C2×#14556158C2211yescharacteristic, complemented
34C2×#14556152C2211yescharacteristic, complemented
35C2×#14556152C2211yescharacteristic, complemented
36C22×#11765853C2211yescharacteristic, complemented
37C2×SD16×D71C2211yescharacteristic, complemented
38C2×SD16×D71C2211yescharacteristic, complemented
39#17986750—21no—
40#17986744—21no—
41#17986720C2211yescharacteristic, complemented
42#17986704C2211yescharacteristic, complemented
43#17986703—21no—
44#17986696—21no—
45#17986696C2211yescharacteristic, complemented
46#17986684C2211yescharacteristic, complemented
47#17986662C2211yescharacteristic, complemented
48#17986656C2211yescharacteristic, complemented
49#17986655C2211yescharacteristic, complemented
50#17986648C2211yescharacteristic, complemented
51#17986637—21no—
52#17986637—21no—
53#17986637C2211yescharacteristic
54#17986637C2211yescharacteristic
55#17986637C2211yescharacteristic
56#17986637C2211yescharacteristic
57D4×C22⋊D71—21no—
58D4×C22⋊D71—21no—
59D4×C22⋊D71C2211yescharacteristic
60D4×C22⋊D71C2211yescharacteristic
61D4×C22⋊D71C2211yescharacteristic
62D4×C22⋊D71C2211yescharacteristic
63#17986616—21no—
64#17986616C2211yescharacteristic, complemented
65#17986609C2211yescharacteristic, complemented
66#17986594—21no—
67#17986581—21no—
68#17986581—21no—
69#17986570C2211yescharacteristic, complemented
70#17986563C2211yescharacteristic
71#17986563C2211yescharacteristic
72#17986558—21no—
73#17986558—21no—
74#17986509C2211yescharacteristic, complemented
75#17986506C2211yescharacteristic
76#17986506C2211yescharacteristic
77C22⋊Q8×D71C2211yescharacteristic, complemented
78C2×#14556096—21no—
79C2×#14556096—21no—
80#17986474C2211yescharacteristic
81#17986392C2211yescharacteristic, complemented
82#17986387C2211yescharacteristic, complemented
83#17986380C2211yescharacteristic, complemented
84#17986370C2211yescharacteristic, complemented
85#17986362C2211yescharacteristic, complemented
86#17986360C2211yescharacteristic, complemented
87#17986355C2211yescharacteristic, complemented
88#17986344C2211yescharacteristic, complemented
89#17986341C2211yescharacteristic, complemented
90#17986341C2211yescharacteristic, complemented
91#17986339C2211yescharacteristic, complemented
92#17986337C2211yescharacteristic, complemented
93#17986333C2211yescharacteristic, complemented
94#17986324C2211yescharacteristic, complemented
95#17986324C2211yescharacteristic, complemented
96#17986322C2211yescharacteristic, complemented
97#17986320C2211yescharacteristic, complemented
98#17986317C2211yescharacteristic, complemented
99#17986316C2211yescharacteristic, complemented
100#17986312C2211yescharacteristic, complemented
101#17986301C2211yescharacteristic, complemented
102#17986297C2211yescharacteristic, complemented
103#17986287C2211yescharacteristic, complemented
104#17986277C2211yescharacteristic, complemented
105#17986256C2211yescharacteristic, complemented
106#17986254C2211yescharacteristic, complemented
107#17986250C2211yescharacteristic, complemented
108#17986247C2211yescharacteristic, complemented
109#17986245C2211yescharacteristic, complemented
110#17986245C2211yescharacteristic, complemented
111#17986244C2211yescharacteristic, complemented
112#17986242C2211yescharacteristic, complemented
113#17986239C2211yescharacteristic, complemented
114#17986233C2211yescharacteristic, complemented
115#17986232C2211yescharacteristic, complemented
116#17986230C2211yescharacteristic, complemented
117#17986228C2211yescharacteristic, complemented
118#17986228C2211yescharacteristic, complemented
119#17986227C2211yescharacteristic, complemented
120#17986225C2211yescharacteristic, complemented
121#17986224C2211yescharacteristic, complemented
122#17986224C2211yescharacteristic, complemented
123#17986223C2211yescharacteristic, complemented
124#17986216C2211yescharacteristic, complemented
125#17986212C2211yescharacteristic, complemented
126#17986212C2211yescharacteristic, complemented
127#17986202C2211yescharacteristic, complemented
128#17986202C2211yescharacteristic, complemented
129#17986198C2211yescharacteristic, complemented
130#17986198C2211yescharacteristic, complemented
131#17986197C2211yescharacteristic, complemented
132#17986192C2211yescharacteristic, complemented
133#17986161C2211yescharacteristic, complemented
134#17986161C2211yescharacteristic, complemented
135#17986161C2211yescharacteristic, complemented
136#17986161C2211yescharacteristic, complemented
137#17986158C2211yescharacteristic, complemented
138#17986153C2211yescharacteristic, complemented
139#17986152C2211yescharacteristic, complemented
140#17986152C2211yescharacteristic, complemented
141#17986151C2211yescharacteristic, complemented
142#17986151C2211yescharacteristic, complemented
143#17986151C2211yescharacteristic, complemented
144#17986151C2211yescharacteristic, complemented
145#17986150C2211yescharacteristic
146#17986150C2211yescharacteristic
147#17986150C2211yescharacteristic, complemented
148#17986150C2211yescharacteristic, complemented
149#17986149C2211yescharacteristic, complemented
150#17986148C2211yescharacteristic, complemented
151#17986148C2211yescharacteristic, complemented
152#17986144C2211yescharacteristic, complemented
153#17986144C2211yescharacteristic, complemented
154#17986141C2211yescharacteristic, complemented
155#17986140C2211yescharacteristic, complemented
156#17986140C2211yescharacteristic, complemented
157#17986136C2211yescharacteristic, complemented
158#17986132C2211yescharacteristic, complemented
159#17986131C2211yescharacteristic, complemented
160#17986131C2211yescharacteristic, complemented
161#17986111C2211yescharacteristic, complemented
162#17986100C2211yescharacteristic, complemented
163#17986096C2211yescharacteristic, complemented
164#17986096C2211yescharacteristic, complemented
165#17986090C2211yescharacteristic, complemented
166#17986090C2211yescharacteristic, complemented
167SD16×Dic71C2211yescharacteristic, complemented
168D8×Dic71C2211yescharacteristic, complemented
169#17986075C2211yescharacteristic, complemented
170#17986074C2211yescharacteristic, complemented
171#17986073C2211yescharacteristic, complemented
172#17986070C2211yescharacteristic, complemented
173#17986068C2211yescharacteristic, complemented
174#17986067C2211yescharacteristic, complemented
175C8×C22⋊D71C2211yescharacteristic, complemented
176(C22⋊D71)⋊C8C2211yescharacteristic, complemented
177#17986057C2211yescharacteristic, complemented
178#17986057C2211yescharacteristic, complemented
179#17986004C2211yescharacteristic, complemented
180#17986002C2211yescharacteristic, complemented
181#17986002C2211yescharacteristic, complemented
182#17985995C2211yescharacteristic, complemented
183#102×D71C2211yescharacteristic, complemented
184#102×D71C2211yescharacteristic, complemented
185#17985966C2211yescharacteristic, complemented
186#17985961C2211yescharacteristic, complemented
187C22⋊C8×D71C2211yescharacteristic, complemented
188C2×H(5,𝔽2)×C71C2211yescharacteristic
189C2×AGL(1,ℤ/8)×C71C2211yescharacteristic, complemented
190C2×#135×C71C2211yescharacteristic, complemented
191#537×C71C2211yescharacteristic, complemented
192#452×C71C2211yescharacteristic, complemented
193#452×C71C2211yescharacteristic, complemented
194#450×C71C2211yescharacteristic
195#450×C71C2211yescharacteristic, complemented
196#449×C71C2211yescharacteristic, complemented
197#449×C71C2211yescharacteristic, complemented
198#447×C71C2211yescharacteristic
199#447×C71C2211yescharacteristic, complemented
200#417×C71C2211yescharacteristic, complemented
201C2×#102×C71C2211yescharacteristic, complemented
202#408×C71C2211yescharacteristic, complemented
203C24×D71—21no—
204C2×#11765864C2311yescharacteristic
205C22×Dic142C2311yescharacteristic, complemented
206C2×Q8×D71C2311yescharacteristic
207C22×D284C2311yescharacteristic
208C22×C22⋊D71—21no—
209C22×C22⋊D71—21no—
210C22×C22⋊D71—21no—
211C22×C22⋊D71—21no—
212C22×C22⋊D71—21no—
213C2×D4×D71—21no—
214C2×D4×D71—21no—
215C2×D4×D71—42no—
216C2×D4×D71—42no—
217C2×D4×D71C2311yescharacteristic
218C2×D4×D71C2311yescharacteristic
219C2×D4×D71C2311yescharacteristic
220C2×D4×D71C2311yescharacteristic
221C22×C4×D71C2311yescharacteristic
222#14556158—42no—
223#14556152—42no—
224#14556152—42no—
225C2×#11765855C2311yescharacteristic, complemented
226C2×#11765855C2311yescharacteristic, complemented
227C2×#11765854C2311yescharacteristic
228C2×#11765854C2311yescharacteristic
229C2×#11765854C2311yescharacteristic
230C2×#11765854C2311yescharacteristic
231C2×#11765853—42no—
232C2×#11765853C2311yescharacteristic
233C2×#11765853C2311yescharacteristic
234C2×#11765853C2311yescharacteristic
235C2×#11765853C2311yescharacteristic
236C2×#11765853C2311yescharacteristic, complemented
237C2×#11765853C2311yescharacteristic, complemented
238C2×#11765852C2311yescharacteristic
239C2×#11765852C2311yescharacteristic
240SD16×D71—42no—
241SD16×D71—42no—
242C2×#11765850C2311yescharacteristic
243C2×#11765850C2311yescharacteristic
244C2×#11765849C2311yescharacteristic, complemented
245C2×#11765848C2311yescharacteristic
246C2×#11765848C2311yescharacteristic
247C22×C71⋊C8C2311yescharacteristic, complemented
248C2×C8×D71C2311yescharacteristic
249C2×C8×D71C2311yescharacteristic
250#14556127—21no—
251#14556127C2311yescharacteristic, complemented
252#14556126—21no—
253#14556126C2311yescharacteristic, complemented
254#14556124—21no—
255#14556124C2311yescharacteristic
256#14556124C2311yescharacteristic
257#14556123—21no—
258#14556123—21no—
259#14556121—21no—
260#14556121—21no—
261#14556121—21no—
262#14556121—21no—
263#14556121—21no—
264#14556119—21no—
265#14556119C2311yescharacteristic, complemented
266#14556118—21no—
267#14556118—21no—
268#14556118—21no—
269#14556117—21no—
270#14556117C2311yescharacteristic
271#14556117C2311yescharacteristic
272#14556115—21no—
273#14556115—21no—
274#14556115—21no—
275#14556115C2311yescharacteristic, complemented
276#14556114—21no—
277#14556114—21no—
278#14556111—21no—
279#14556111—21no—
280#14556111—21no—
281#14556111—21no—
282#14556111—21no—
283#14556111—21no—
284#14556110—21no—
285#14556109—21no—
286#14556109—21no—
287#14556109—21no—
288#14556109—21no—
289#14556109—21no—
290#14556109—21no—
291#14556109D411yescharacteristic
292#14556109D411yescharacteristic
293#14556108C2311yescharacteristic
294#14556108C2311yescharacteristic
295#14556107—21no—
296#14556107—21no—
297#14556107C2311yescharacteristic
298#14556107C2311yescharacteristic
299#14556107C2311yescharacteristic, complemented
300#14556107C2311yescharacteristic, complemented
301#14556106—21no—
302#14556106—21no—
303#14556106—21no—
304#14556105—21no—
305#14556105—21no—
306#14556105—21no—
307#14556105—21no—
308#14556104D411yescharacteristic
309#14556104D411yescharacteristic
310#14556104C2311yescharacteristic
311#14556104C2311yescharacteristic
312#14556104C2311yescharacteristic
313#14556102—21no—
314#14556102—21no—
315#14556102C2311yescharacteristic
316#14556102C2311yescharacteristic
317#14556102C2311yescharacteristic
318#14556102C2311yescharacteristic
319#14556100—21no—
320#14556100—21no—
321#14556100—21no—
322#14556100—21no—
323#14556100—21no—
324#14556100—21no—
325#14556100—21no—
326#14556100—21no—
327#14556100—21no—
328#14556100—21no—
329#14556099—21no—
330#14556099—21no—
331#14556099D411yescharacteristic
332#14556099D411yescharacteristic
333#14556099C2311yescharacteristic
334#14556099C2311yescharacteristic
335#14556099C2311yescharacteristic
336#14556097—21no—
337#14556097—21no—
338#14556097—21no—
339#14556097—21no—
340#14556096—21no—
341#14556096—21no—
342#14556096—21no—
343#14556096—21no—
344#14556096—21no—
345#14556096—21no—
346#14556096—21no—
347#14556096—21no—
348#14556096—21no—
349#14556096—21no—
350#14556096—21no—
351#14556096—21no—
352#14556096—21no—
353#14556096—21no—
354#14556096D411yescharacteristic
355#14556096D411yescharacteristic
356Q8×Dic71C2311yescharacteristic, complemented
357#14556093—21no—
358#14556093C2311yescharacteristic, complemented
359#14556093C2311yescharacteristic, complemented
360D4×Dic71—21no—
361D4×Dic71—21no—
362D4×Dic71—21no—
363D4×Dic71—21no—
364D4×Dic71C2311yescharacteristic
365D4×Dic71C2311yescharacteristic
366D4×Dic71C2311yescharacteristic
367D4×Dic71C2311yescharacteristic
368D4×Dic71C2311yescharacteristic, complemented
369C4×C22⋊D71—21no—
370C4×C22⋊D71—21no—
371C4×C22⋊D71—21no—
372C4×C22⋊D71—21no—
373C4×C22⋊D71C2311yescharacteristic
374C4×C22⋊D71C2311yescharacteristic
375C4×C22⋊D71C2311yescharacteristic
376C4×C22⋊D71C2311yescharacteristic
377(C22⋊D71)⋊C4—21no—
378(C22⋊D71)⋊C4—21no—
379(C22⋊D71)⋊C4—21no—
380#14556087—21no—
381#14556087C2311yescharacteristic
382#14556087C2311yescharacteristic
383#14556087C2311yescharacteristic, complemented
384#14556086C2311yescharacteristic
385C2×Dic71⋊C4—21no—
386C4⋊C4×D71—21no—
387C4⋊C4×D71C2311yescharacteristic
388C2×C22⋊Dic71—21no—
389C2×C22⋊Dic71—21no—
390C2×(C2×D71)⋊C4—21no—
391C2×(C2×D71)⋊C4—21no—
392C2×(C2×D71)⋊C4—21no—
393C2×(C2×D71)⋊C4—21no—
394C22⋊C4×D71—21no—
395#14556062C2311yescharacteristic, complemented
396#14556062C2311yescharacteristic, complemented
397#14556061C2311yescharacteristic, complemented
398#14556061C2311yescharacteristic, complemented
399#14556060C2311yescharacteristic, complemented
400#14556060C2311yescharacteristic, complemented
401#14556059C2311yescharacteristic, complemented
402#14556059C2311yescharacteristic, complemented
403Dic71⋊C8C2311yescharacteristic, complemented
404Dic71⋊C8C2311yescharacteristic, complemented
405Dic71⋊C8C2311yescharacteristic, complemented
406Dic71⋊C8C2311yescharacteristic, complemented
407#14556053C2311yescharacteristic, complemented
408#14556053C2311yescharacteristic, complemented
409#14556053C2311yescharacteristic, complemented
410#14556053C2311yescharacteristic, complemented
411#14556052C2311yescharacteristic, complemented
412#14556052C2311yescharacteristic, complemented
413#14556052C2311yescharacteristic, complemented
414#14556052C2311yescharacteristic, complemented
415#14556050C2311yescharacteristic
416#14556050C2311yescharacteristic
417#14556050C2311yescharacteristic
418#14556050C2311yescharacteristic
419#14556049C2311yescharacteristic
420#14556049C2311yescharacteristic
421#14556049C2311yescharacteristic
422#14556049C2311yescharacteristic
423#14556049C2311yescharacteristic, complemented
424#14556049C2311yescharacteristic, complemented
425#14556049C2311yescharacteristic, complemented
426#14556049C2311yescharacteristic, complemented
427#14556048C2311yescharacteristic
428#14556048C2311yescharacteristic
429#14556048C2311yescharacteristic
430#14556048C2311yescharacteristic
431C22⋊(C71⋊C8)C2311yescharacteristic
432C22⋊(C71⋊C8)C2311yescharacteristic
433C22⋊(C71⋊C8)C2311yescharacteristic, complemented
434C22⋊(C71⋊C8)C2311yescharacteristic, complemented
435(C2×D71)⋊C8C2311yescharacteristic
436(C2×D71)⋊C8C2311yescharacteristic
437(C2×D71)⋊C8C2311yescharacteristic
438(C2×D71)⋊C8C2311yescharacteristic
439#14556038C2311yescharacteristic, complemented
440#14556038C2311yescharacteristic, complemented
441C8×Dic71C2311yescharacteristic, complemented
442C8×Dic71C2311yescharacteristic, complemented
443H(5,𝔽2)×C71—42no—
444H(5,𝔽2)×C71—42no—
445C2×#41×C71—21no—
446C2×#41×C71C2311yescharacteristic
447C2×#41×C71C2311yescharacteristic
448C2×#41×C71C2311yescharacteristic
449C2×#41×C71C2311yescharacteristic
450C2×#41×C71C2311yescharacteristic, complemented
451C22×D4×C71—21no—
452C22×D4×C71—21no—
453C22×D4×C71—21no—
454C22×D4×C71C2311yescharacteristic
455C22×D4×C71C2311yescharacteristic
456C22×D4×C71C2311yescharacteristic
457AGL(1,ℤ/8)×C71—42no—
458#135×C71—42no—
459C2×Q16×C71C2311yescharacteristic, complemented
460C2×SD16×C71C2311yescharacteristic
461C2×SD16×C71C2311yescharacteristic
462C2×SD16×C71C2311yescharacteristic, complemented
463C2×SD16×C71C2311yescharacteristic, complemented
464C2×D8×C71C2311yescharacteristic
465C2×D8×C71C2311yescharacteristic
466C2×D8×C71C2311yescharacteristic, complemented
467C2×M16×C71C2311yescharacteristic, complemented
468C22×C8×C71C2311yescharacteristic, complemented
469C22⋊Q8×C71—21no—
470C22⋊Q8×C71C2311yescharacteristic
471C22⋊Q8×C71C2311yescharacteristic, complemented
472#121×C71—21no—
473#121×C71—21no—
474#121×C71—21no—
475#121×C71C2311yescharacteristic
476#121×C71C2311yescharacteristic, complemented
477C2×C4⋊C4×C71C2311yescharacteristic, complemented
478#103×C71C2311yescharacteristic, complemented
479#103×C71C2311yescharacteristic, complemented
480#102×C71C2311yescharacteristic
481#102×C71C2311yescharacteristic
482#102×C71C2311yescharacteristic
483#102×C71C2311yescharacteristic
484#102×C71C2311yescharacteristic, complemented
485#102×C71C2311yescharacteristic, complemented
486C22⋊C8×C71C2311yescharacteristic
487C22⋊C8×C71C2311yescharacteristic
488C22⋊C8×C71C2311yescharacteristic, complemented
489C22⋊C8×C71C2311yescharacteristic, complemented
490C23×D71—21no—
491C23×D71—21no—
492C23×D71—21no—
493C23×D71—21no—
494C23×D71—21no—
495C23×D71—44no—
496C23×D71—82no—
497C23×D71—82no—
498C23×D71C2×D411yescharacteristic
499#11765864—41no—
500#11765864—41no—
501C2×Dic142—21no—
502C2×Dic142—21no—
503C2×Dic142—21no—
504C2×Dic142—41no—
505C2×Dic142—41no—
506C2×Dic142C2411yescharacteristic
507C2×Dic142C2411yescharacteristic
508Q8×D71—41no—
509Q8×D71—41no—
510C2×D284—21no—
511C2×D284—41no—
512C2×D284—41no—
513C2×D284C2411yescharacteristic
514C2×D284C2411yescharacteristic
515C2×C22⋊D71—21no—
516C2×C22⋊D71—21no—
517C2×C22⋊D71—21no—
518C2×C22⋊D71—21no—
519C2×C22⋊D71—21no—
520C2×C22⋊D71—21no—
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—44no—
532C2×C22⋊D71—82no—
533C2×C22⋊D71—82no—
534C2×C22⋊D71—82no—
535C2×C22⋊D71—82no—
536C2×C22⋊D71C2×D411yescharacteristic
537C2×C22⋊D71C2×D411yescharacteristic
538C2×C22⋊D71C2×D411yescharacteristic
539C2×C22⋊D71C2×D411yescharacteristic
540D4×D71—22no—
541D4×D71—22no—
542D4×D71—22no—
543D4×D71—22no—
544D4×D71—41no—
545D4×D71—41no—
546D4×D71—41no—
547D4×D71—41no—
548D4×D71—44no—
549D4×D71—44no—
550C22×Dic71—21no—
551C22×Dic71—21no—
552C22×Dic71—21no—
553C22×Dic71—21no—
554C22×Dic71—21no—
555C22×Dic71—21no—
556C22×Dic71—21no—
557C22×Dic71C2×D411yescharacteristic
558C2×C4×D71—21no—
559C2×C4×D71—21no—
560C2×C4×D71—41no—
561C2×C4×D71—41no—
562C2×C4×D71C2×D411yescharacteristic
563C2×C4×D71C2×D411yescharacteristic
564C2×C4×D71C2411yescharacteristic
565C2×C4×D71C2411yescharacteristic
566#11765855—41no—
567#11765855—41no—
568#11765854—41no—
569#11765854—41no—
570#11765854—41no—
571#11765854—41no—
572#11765853—22no—
573#11765853—22no—
574#11765853—22no—
575#11765853—22no—
576#11765853—41no—
577#11765853—41no—
578#11765852—41no—
579#11765852—41no—
580#11765850—41no—
581#11765850—41no—
582#11765849—41no—
583#11765848—41no—
584#11765848—41no—
585C2×C71⋊C8—41no—
586C2×C71⋊C8C2411yescharacteristic
587C2×C71⋊C8C2411yescharacteristic
588C2×C71⋊C8C2411yescharacteristic
589C2×C71⋊C8C2411yescharacteristic
590C8×D71—41no—
591C8×D71—41no—
592C4⋊Dic71—21no—
593C4⋊Dic71—21no—
594C4⋊Dic71—21no—
595C4⋊Dic71—21no—
596C4⋊Dic71C2×D411yescharacteristic
597C4⋊Dic71C2×D411yescharacteristic
598C4⋊Dic71C2411yescharacteristic
599C4⋊Dic71C2411yescharacteristic
600C4⋊Dic71C2411yescharacteristic
601C4⋊Dic71C2411yescharacteristic
602Dic71⋊C4—21no—
603Dic71⋊C4—21no—
604Dic71⋊C4—21no—
605Dic71⋊C4—21no—
606Dic71⋊C4—21no—
607Dic71⋊C4—21no—
608Dic71⋊C4—21no—
609Dic71⋊C4—21no—
610Dic71⋊C4—21no—
611Dic71⋊C4—21no—
612Dic71⋊C4—21no—
613Dic71⋊C4—21no—
614Dic71⋊C4—21no—
615Dic71⋊C4—21no—
616Dic71⋊C4C2×D411yescharacteristic
617Dic71⋊C4C2×D411yescharacteristic
618Dic71⋊C4C2×D411yescharacteristic
619Dic71⋊C4C2×D411yescharacteristic
620C22⋊Dic71—21no—
621C22⋊Dic71—21no—
622C22⋊Dic71—21no—
623C22⋊Dic71—21no—
624C22⋊Dic71—21no—
625C22⋊Dic71—21no—
626C22⋊Dic71—21no—
627C22⋊Dic71—21no—
628C22⋊Dic71—21no—
629C22⋊Dic71—21no—
630C22⋊Dic71—21no—
631C22⋊Dic71—21no—
632C22⋊Dic71—21no—
633C22⋊Dic71—21no—
634C22⋊Dic71—21no—
635C22⋊Dic71—21no—
636C22⋊Dic71C2×D411yescharacteristic
637C22⋊Dic71C2×D411yescharacteristic
638C22⋊Dic71C2×D411yescharacteristic
639C22⋊Dic71C2×D411yescharacteristic
640C22⋊Dic71C2×D411yescharacteristic
641C22⋊Dic71C2×D411yescharacteristic
642(C2×D71)⋊C4—21no—
643(C2×D71)⋊C4—21no—
644(C2×D71)⋊C4—21no—
645(C2×D71)⋊C4—21no—
646(C2×D71)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
657(C2×D71)⋊C4C2×D411yescharacteristic
658(C2×D71)⋊C4C2×D411yescharacteristic
659(C2×D71)⋊C4C2×D411yescharacteristic
660C4×Dic71—21no—
661C4×Dic71—21no—
662C4×Dic71—21no—
663C4×Dic71—21no—
664C4×Dic71—21no—
665C4×Dic71—21no—
666C4×Dic71C2411yescharacteristic
667C4×Dic71C2411yescharacteristic
668C24×C71—21no—
669C24×C71—21no—
670C24×C71—21no—
671#41×C71—22no—
672#41×C71—22no—
673#41×C71—41no—
674#41×C71—41no—
675#41×C71—41no—
676#41×C71—41no—
677#41×C71—41no—
678#41×C71—41no—
679#41×C71—41no—
680#41×C71—41no—
681#41×C71—44no—
682C2×Q8×C71C2×D411yescharacteristic
683C2×Q8×C71C2411yescharacteristic
684C2×Q8×C71C2411yescharacteristic
685C2×D4×C71—22no—
686C2×D4×C71—22no—
687C2×D4×C71—22no—
688C2×D4×C71—22no—
689C2×D4×C71—21no—
690C2×D4×C71—21no—
691C2×D4×C71—21no—
692C2×D4×C71—21no—
693C2×D4×C71—21no—
694C2×D4×C71—21no—
695C2×D4×C71—21no—
696C2×D4×C71—21no—
697C2×D4×C71—21no—
698C2×D4×C71—41no—
699C2×D4×C71—41no—
700C2×D4×C71—44no—
701C2×D4×C71—44no—
702C2×D4×C71—44no—
703C2×D4×C71C2×D411yescharacteristic
704C2×D4×C71C2×D411yescharacteristic
705C2×D4×C71C2×D411yescharacteristic
706C2×D4×C71C2411yescharacteristic
707C2×D4×C71C2411yescharacteristic
708C2×D4×C71C2411yescharacteristic
709C2×D4×C71C2411yescharacteristic
710C22×C4×C71—21no—
711C22×C4×C71—21no—
712C22×C4×C71—21no—
713C22×C4×C71—21no—
714C22×C4×C71—21no—
715C22×C4×C71C2411yescharacteristic
716C22×C4×C71C2411yescharacteristic
717C22×C4×C71C2411yescharacteristic
718Q16×C71—41no—
719SD16×C71—22no—
720SD16×C71—22no—
721SD16×C71—41no—
722SD16×C71—41no—
723D8×C71—22no—
724D8×C71—22no—
725D8×C71—41no—
726M16×C71—41no—
727C2×C8×C71—41no—
728C2×C8×C71C2411yescharacteristic
729C2×C8×C71C2411yescharacteristic
730C2×C8×C71C2411yescharacteristic
731C2×C8×C71C2411yescharacteristic
732C4⋊C4×C71—21no—
733C4⋊C4×C71—21no—
734C4⋊C4×C71—21no—
735C4⋊C4×C71C2411yescharacteristic
736C4⋊C4×C71C2411yescharacteristic
737C22⋊C4×C71—21no—
738C22⋊C4×C71—21no—
739C22⋊C4×C71—21no—
740C22⋊C4×C71—21no—
741C23×C71—24no—
742C23×C71—21no—
743C23×C71—21no—
744C23×C71—21no—
745C23×C71—21no—
746C23×C71—42no—
747C23×C71—42no—
748C23×C71—81no—
749C23×C71—81no—
750C23×C71—81no—
751C23×C71—81no—
752C23×C71—81no—
753C23×C71—81no—
754C23×C71C22×D411yescharacteristic
755C23×C71C22×D411yescharacteristic
756C23×C71C22×D411yescharacteristic
757C22×D71—22no—
758C22×D71—21no—
759C22×D71—21no—
760C22×D71—41no—
761C22×D71—41no—
762C22×D71—42no—
763C22×D71—42no—
764C22×D71—42no—
765C22×D71—42no—
766C22×D71—42no—
767C22×D71—42no—
768C22×D71—42no—
769C22×D71—42no—
770C22×D71—42no—
771C22×D71—81no—
772C22×D71—81no—
773C22×D71—81no—
774C22×D71—81no—
775C22×D71—81no—
776C22×D71—81no—
777C22×D71—816no—
778C22×D71C22×D411yescharacteristic
779C22×D71C22×D411yescharacteristic
780Q8×C71—21no—
781Q8×C71—21no—
782Q8×C71—21no—
783Q8×C71—21no—
784Q8×C71—41no—
785D4×C71—24no—
786D4×C71—21no—
787D4×C71—21no—
788D4×C71—21no—
789D4×C71—21no—
790D4×C71—21no—
791D4×C71—21no—
792D4×C71—41no—
793D4×C71—41no—
794D4×C71—41no—
795D4×C71—42no—
796D4×C71—42no—
797D4×C71—42no—
798D4×C71—42no—
799D4×C71—42no—
800D4×C71—81no—
801D4×C71—81no—
802D4×C71—81no—
803D4×C71H(5,𝔽2)12yes—
804D4×C71H(5,𝔽2)12yes—
805C2×C4×C71—21no—
806C2×C4×C71—21no—
807C2×C4×C71—21no—
808C2×C4×C71—21no—
809C2×C4×C71—21no—
810C2×C4×C71—21no—
811C2×C4×C71—21no—
812C2×C4×C71—21no—
813C2×C4×C71—21no—
814C2×C4×C71—21no—
815C2×C4×C71—42no—
816C2×C4×C71—42no—
817C2×C4×C71—42no—
818C2×C4×C71—81no—
819C2×C4×C71—81no—
820C2×C4×C71C22×D411yescharacteristic
821C2×C4×C71C22×D411yescharacteristic
822C2×C4×C71C22×D411yescharacteristic
823C2×C4×C71C2511yescharacteristic
824C22⋊D71—22no—
825C22⋊D71—22no—
826C22⋊D71—41no—
827C22⋊D71—41no—
828C22⋊D71—42no—
829C22⋊D71—42no—
830C22⋊D71—42no—
831C22⋊D71—42no—
832C22⋊D71—42no—
833C22⋊D71—42no—
834C22⋊D71—42no—
835C22⋊D71—81no—
836C22⋊D71—81no—
837C22⋊D71—81no—
838C22⋊D71—81no—
839C22⋊D71—81no—
840C22⋊D71—81no—
841C22⋊D71—81no—
842C22⋊D71—81no—
843C22⋊D71—81no—
844C2×Dic71—21no—
845C2×Dic71—21no—
846C2×Dic71—21no—
847C2×Dic71—21no—
848C2×Dic71—21no—
849C2×Dic71—21no—
850C2×Dic71—41no—
851C2×Dic71—81no—
852C2×Dic71—81no—
853C2×Dic71—81no—
854C2×Dic71—81no—
855C2×Dic71—81no—
856C2×Dic71—81no—
857C2×Dic71—81no—
858C2×Dic71C22×D411yescharacteristic
859C2×Dic71C22×D411yescharacteristic
860C2×Dic71C22×D411yescharacteristic
861C2×Dic71C22×D411yescharacteristic
862C2×Dic71C22×D411yescharacteristic
863C2×Dic71C22×D411yescharacteristic
864D284—21no—
865D284—21no—
866D284—21no—
867D284—21no—
868D284—42no—
869C4×D71—21no—
870C4×D71—21no—
871C4×D71—21no—
872C4×D71—21no—
873C4×D71—41no—
874C4×D71—41no—
875C4×D71—81no—
876C4×D71—81no—
877Dic142—21no—
878Dic142—21no—
879Dic142—21no—
880Dic142—21no—
881Dic142—81no—
882Dic142—81no—
883Dic142—81no—
884C8×C71—21no—
885C8×C71—21no—
886C8×C71—21no—
887C8×C71—21no—
888C71⋊C8—21no—
889C71⋊C8—21no—
890C71⋊C8—21no—
891C71⋊C8—21no—
892C22×C71—21no—
893C22×C71—21no—
894C22×C71—21no—
895C22×C71—21no—
896C22×C71—21no—
897C22×C71—22no—
898C22×C71—22no—
899C22×C71—21no—
900C22×C71—21no—
901C22×C71—21no—
902C22×C71—21no—
903C22×C71—41no—
904C22×C71—41no—
905C22×C71—41no—
906C22×C71—41no—
907C22×C71—41no—
908C22×C71—41no—
909C22×C71—41no—
910C22×C71—41no—
911C22×C71—41no—
912C22×C71—41no—
913C22×C71—84no—
914C22×C71—162no—
915C22×C71—162no—
916C22×C71C23×D411yescharacteristic
917C2×D71—21no—
918C2×D71—21no—
919C2×D71—21no—
920C2×D71—21no—
921C2×D71—21no—
922C2×D71—44no—
923C2×D71—41no—
924C2×D71—41no—
925C2×D71—41no—
926C2×D71—41no—
927C2×D71—41no—
928C2×D71—41no—
929C2×D71—84no—
930C2×D71—84no—
931C2×D71—84no—
932C2×D71—84no—
933C2×D71—84no—
934C2×D71#57712yes—
935C4×C71—21no—
936C4×C71—21no—
937C4×C71—21no—
938C4×C71—41no—
939C4×C71—41no—
940C4×C71—41no—
941C4×C71—41no—
942C4×C71C2×H(5,𝔽2)11yescharacteristic
943C4×C71C2×H(5,𝔽2)11yescharacteristic
944Dic71—21no—
945Dic71—21no—
946Dic71—21no—
947Dic71—21no—
948Dic71—21no—
949Dic71—21no—
950Dic71—41no—
951Dic71—41no—
952Dic71—41no—
953Dic71—41no—
954Dic71—41no—
955Dic71—41no—
956#61610—711nomaximal, Sylow
957C2×C71—41no—
958C2×C71—42no—
959C2×C71—42no—
960C2×C71—41no—
961C2×C71—41no—
962C2×C71—81no—
963C2×C71—81no—
964C2×C71#348411yescharacteristic
965C2×C71C2×#57711yescharacteristic
966C2×C71#358511yescharacteristic
967D71—22no—
968D71—41no—
969D71—81no—
970D71—81no—
971#3541—711no—
972#3484—711no—
973#3324—711no—
974#3323—711no—
975#3318—711no—
976#3314—711no—
977#3311—711no—
978#3310—711no—
979#3297—711no—
980#3295—711no—
981#3282—711no—
982D4×SD16—711no—
983#3275—711no—
984#3272—711no—
985#3267—711no—
986#3266—711no—
987#3265—711no—
988#3265—711no—
989#3224—711no—
990#3222—711no—
991#3200—711no—
992#3198—711no—
993#3196—711no—
994#3191—711no—
995#3123—711no—
996#3118—711no—
997#3012D7111yescharacteristic, complemented
998#3009—711no—
999#3003—711no—
1000C2×#450—711no—
1001#2976—711no—
1002C71#6161011yescharacteristic, complemented, Sylow
1003C2×H(5,𝔽2)C2×D7111yescharacteristic
1004C23×D4—711no—
1005C2×#137—711no—
1006C2×AGL(1,ℤ/8)—711no—
1007C2×AGL(1,ℤ/8)—711no—
1008C2×AGL(1,ℤ/8)C2×D7111yescharacteristic, complemented
1009C2×#135C2×D7111yescharacteristic, complemented
1010C22×SD16—711no—
1011C22×SD16—711no—
1012C22×SD16—711no—
1013#563—1421no—
1014#562—1421no—
1015#556—711no—
1016#554—711no—
1017#554—1421no—
1018#553—711no—
1019#553—1421no—
1020#552—711no—
1021D4×Q8—711no—
1022#548—711no—
1023#548—711no—
1024#547—711no—
1025#546—711no—
1026#546—711no—
1027#546—711no—
1028#546—711no—
1029#546—1421no—
1030#546—1421no—
1031D42—711no—
1032D42—711no—
1033D42—711no—
1034D42—711no—
1035D42—1421no—
1036D42—1421no—
1037#542—711no—
1038#542—1421no—
1039#541—711no—
1040#539—1421no—
1041#538—1421no—
1042#538—1421no—
1043#537C2×D7111yescharacteristic, complemented
1044#536—711no—
1045#535—711no—
1046#535—711no—
1047#534—1421no—
1048#534—1421no—
1049#525—711no—
1050#525—711no—
1051#525—711no—
1052C2×C22⋊Q8—711no—
1053C2×#120—1421no—
1054C2×#120—1421no—
1055#518—711no—
1056#497—711no—
1057#496—711no—
1058#495—711no—
1059#492—711no—
1060#490—711no—
1061#489—711no—
1062#488—711no—
1063#486—711no—
1064#485—711no—
1065#485—711no—
1066#485—711no—
1067#485—711no—
1068#484—711no—
1069#482—711no—
1070#482—711no—
1071#482—711no—
1072#482—711no—
1073#481—711no—
1074#481—711no—
1075#480—711no—
1076#478—711no—
1077#478—711no—
1078#476—711no—
1079#474—711no—
1080#470—711no—
1081#470—711no—
1082#469—711no—
1083#468—711no—
1084#468—711no—
1085#468—711no—
1086#468—711no—
1087#468—711no—
1088#467—711no—
1089#466—711no—
1090#466—711no—
1091#465—711no—
1092#465—711no—
1093#465—711no—
1094#465—711no—
1095#465—711no—
1096#464—711no—
1097#464—711no—
1098#464—711no—
1099#463—711no—
1100#463—711no—
1101#463—711no—
1102#461—711no—
1103#461—711no—
1104#460—711no—
1105#460—711no—
1106#460—711no—
1107#459—711no—
1108#452—711no—
1109#452—711no—
1110#452—711no—
1111#452—711no—
1112#452—711no—
1113#452C2×D7111yescharacteristic, complemented
1114#452C2×D7111yescharacteristic, complemented
1115#451—711no—
1116#450—711no—
1117#450—711no—
1118#450—711no—
1119#450—711no—
1120#450—711no—
1121#450—711no—
1122#450—711no—
1123#450—711no—
1124#450—711no—
1125#450—711no—
1126#450—711no—
1127#450—711no—
1128#450—711no—
1129#450C2×D7111yescharacteristic
1130#450C2×D7111yescharacteristic, complemented
1131#449—711no—
1132#449—711no—
1133#449—711no—
1134#449C2×D7111yescharacteristic, complemented
1135#449C2×D7111yescharacteristic, complemented
1136#448—711no—
1137#448—711no—
1138#448—711no—
1139#447—711no—
1140#447—711no—
1141#447—711no—
1142#447C2×D7111yescharacteristic
1143#447C2×D7111yescharacteristic, complemented
1144#442—711no—
1145#440—711no—
1146#440—711no—
1147#440—711no—
1148C4×SD16—711no—
1149C4×SD16—711no—
1150C4×SD16—711no—
1151C4×D8—711no—
1152#436—711no—
1153#436—711no—
1154#435—711no—
1155#435—711no—
1156#435—711no—
1157#435—711no—
1158C8×D4—711no—
1159C8×D4—711no—
1160#433—711no—
1161#433—711no—
1162#418—711no—
1163#418—711no—
1164#418—711no—
1165#417C2×D7111yescharacteristic, complemented
1166#416—711no—
1167C2×#102—711no—
1168C2×#102—711no—
1169C2×#102C2×D7111yescharacteristic, complemented
1170#408—711no—
1171#408C2×D7111yescharacteristic, complemented
1172#407—711no—
1173C2×C22⋊C8—711no—
1174C25—1421no—
1175H(5,𝔽2)—42no—
1176H(5,𝔽2)—42no—
1177C2×#41—21no—
1178C2×#41—711no—
1179C2×#41C22×D7111yescharacteristic
1180C2×#41C22×D7111yescharacteristic
1181C2×#41C22×D7111yescharacteristic
1182C2×#41C22×D7111yescharacteristic
1183C2×#41C22×D7111yescharacteristic, complemented
1184C22×Q8—711no—
1185C22×Q8—711no—
1186C22×D4—21no—
1187C22×D4—21no—
1188C22×D4—21no—
1189C22×D4—2842no—
1190C22×D4—2842no—
1191C22×D4—711no—
1192C22×D4—711no—
1193C22×D4—711no—
1194C22×D4—711no—
1195C22×D4—711no—
1196C22×D4—1421no—
1197C22×D4—1421no—
1198C22×D4—1421no—
1199C22×D4—1421no—
1200C22×D4—1421no—
1201C22×D4—1421no—
1202C22×D4—1421no—
1203C22×D4C22×D7111yescharacteristic
1204C22×D4C22×D7111yescharacteristic
1205C22×D4C22×D7111yescharacteristic
1206C23×C4—711no—
1207#137—2842no—
1208AGL(1,ℤ/8)—42no—
1209AGL(1,ℤ/8)—2842no—
1210AGL(1,ℤ/8)—2842no—
1211#135—42no—
1212C2×Q16—711no—
1213C2×Q16—711no—
1214C2×Q16C22×D7111yescharacteristic, complemented
1215C2×SD16—2842no—
1216C2×SD16—2842no—
1217C2×SD16—2842no—
1218C2×SD16—711no—
1219C2×SD16—711no—
1220C2×SD16—711no—
1221C2×SD16—711no—
1222C2×SD16—711no—
1223C2×SD16—711no—
1224C2×SD16—711no—
1225C2×SD16—711no—
1226C2×SD16—711no—
1227C2×SD16—711no—
1228C2×SD16—711no—
1229C2×SD16—711no—
1230C2×SD16C22×D7111yescharacteristic
1231C2×SD16C22×D7111yescharacteristic
1232C2×SD16C22×D7111yescharacteristic, complemented
1233C2×SD16C22×D7111yescharacteristic, complemented
1234C2×D8—711no—
1235C2×D8—711no—
1236C2×D8C22×D7111yescharacteristic
1237C2×D8C22×D7111yescharacteristic
1238C2×D8C22×D7111yescharacteristic, complemented
1239C2×M16—711no—
1240C2×M16—711no—
1241C2×M16—711no—
1242C2×M16C22×D7111yescharacteristic, complemented
1243C22×C8—711no—
1244C22×C8—711no—
1245C22×C8—711no—
1246C22×C8C22×D7111yescharacteristic, complemented
1247C4⋊Q8—711no—
1248C4⋊Q8—711no—
1249C4⋊Q8—1421no—
1250C4⋊Q8—1421no—
1251#127—711no—
1252#127—711no—
1253#127—1421no—
1254#126—1421no—
1255#126—1421no—
1256#126—1421no—
1257#126—1421no—
1258#126—1421no—
1259#126—1421no—
1260#126—1421no—
1261#125—711no—
1262#125—1421no—
1263#125—1421no—
1264#125—1421no—
1265#125—1421no—
1266#124—711no—
1267#124—711no—
1268#124—711no—
1269#124—1421no—
1270#124—1421no—
1271#124—1421no—
1272#124—1421no—
1273#124—1421no—
1274#124—1421no—
1275#123—711no—
1276#123—711no—
1277#123—1421no—
1278#123—1421no—
1279#123—1421no—
1280#123—1421no—
1281#123—1421no—
1282#123—1421no—
1283#123—1421no—
1284#123—1421no—
1285#123—1421no—
1286#123—1421no—
1287#123—1421no—
1288#123—1421no—
1289#123—1421no—
1290C22⋊Q8—21no—
1291C22⋊Q8—711no—
1292C22⋊Q8—711no—
1293C22⋊Q8—711no—
1294C22⋊Q8—711no—
1295C22⋊Q8—711no—
1296C22⋊Q8—711no—
1297C22⋊Q8—711no—
1298C22⋊Q8—711no—
1299C22⋊Q8—711no—
1300C22⋊Q8—711no—
1301C22⋊Q8—711no—
1302C22⋊Q8—1421no—
1303C22⋊Q8—1421no—
1304C22⋊Q8—1421no—
1305C22⋊Q8—1421no—
1306C22⋊Q8—1421no—
1307C22⋊Q8—1421no—
1308C22⋊Q8—1421no—
1309C22⋊Q8—1421no—
1310C22⋊Q8—1421no—
1311C22⋊Q8C22×D7111yescharacteristic
1312C22⋊Q8C22×D7111yescharacteristic, complemented
1313#121—21no—
1314#121—21no—
1315#121—21no—
1316#121—711no—
1317#121—711no—
1318#121—711no—
1319#121—711no—
1320#121—711no—
1321#121—711no—
1322#121—711no—
1323#121—711no—
1324#121—711no—
1325#121—1421no—
1326#121—1421no—
1327#121—1421no—
1328#121—1421no—
1329#121—1421no—
1330#121—1421no—
1331#121—1421no—
1332#121—1421no—
1333#121—1421no—
1334#121—1421no—
1335#121—1421no—
1336#121—1421no—
1337#121—1421no—
1338#121—1421no—
1339#121C22×D7111yescharacteristic
1340#121C22×D7111yescharacteristic, complemented
1341#120—711no—
1342#120—711no—
1343#120—1421no—
1344#120—1421no—
1345#120—1421no—
1346#120—1421no—
1347#120—1421no—
1348#120—1421no—
1349#120—1421no—
1350#120—1421no—
1351#120—1421no—
1352#120—1421no—
1353#120—1421no—
1354#120—1421no—
1355#120—1421no—
1356#120—1421no—
1357#120—1421no—
1358#120—1421no—
1359#120—1421no—
1360#120—1421no—
1361C4×Q8—711no—
1362C4×Q8—711no—
1363C4×Q8—711no—
1364C4×Q8—1421no—
1365C4×D4—711no—
1366C4×D4—711no—
1367C4×D4—711no—
1368C4×D4—711no—
1369C4×D4—711no—
1370C4×D4—711no—
1371C4×D4—711no—
1372C4×D4—711no—
1373C4×D4—711no—
1374C4×D4—1421no—
1375C4×D4—1421no—
1376C4×D4—1421no—
1377C4×D4—1421no—
1378C4×D4—1421no—
1379C4×D4—1421no—
1380C4×D4—1421no—
1381C4×D4—1421no—
1382C4×D4—1421no—
1383C4×D4—1421no—
1384C4×D4—1421no—
1385#117—711no—
1386#117—711no—
1387#117—711no—
1388#117—711no—
1389#117—1421no—
1390C2×C4⋊C4—711no—
1391C2×C4⋊C4—1421no—
1392C2×C4⋊C4—1421no—
1393C2×C4⋊C4C22×D7111yescharacteristic, complemented
1394C2×C22⋊C4—1421no—
1395C2×C22⋊C4—1421no—
1396C2×C22⋊C4—1421no—
1397C2×C22⋊C4—1421no—
1398C2×C22⋊C4—1421no—
1399C2×C22⋊C4—1421no—
1400C2×C22⋊C4—1421no—
1401#107—711no—
1402#107—711no—
1403#107—711no—
1404#107—711no—
1405#106—711no—
1406#106—711no—
1407#106—711no—
1408#106—711no—
1409C4⋊C8—711no—
1410C4⋊C8—711no—
1411C4⋊C8—711no—
1412C4⋊C8—711no—
1413#103—711no—
1414#103—711no—
1415#103—711no—
1416#103—711no—
1417#103—711no—
1418#103—711no—
1419#103—711no—
1420#103—711no—
1421#103C22×D7111yescharacteristic, complemented
1422#103C22×D7111yescharacteristic, complemented
1423#102—711no—
1424#102—711no—
1425#102—711no—
1426#102—711no—
1427#102—711no—
1428#102—711no—
1429#102—711no—
1430#102—711no—
1431#102—711no—
1432#102—711no—
1433#102—711no—
1434#102—711no—
1435#102—711no—
1436#102—711no—
1437#102—711no—
1438#102—711no—
1439#102C22×D7111yescharacteristic
1440#102C22×D7111yescharacteristic
1441#102C22×D7111yescharacteristic
1442#102C22×D7111yescharacteristic
1443#102C22×D7111yescharacteristic, complemented
1444#102C22×D7111yescharacteristic, complemented
1445C22⋊C8—711no—
1446C22⋊C8—711no—
1447C22⋊C8—711no—
1448C22⋊C8—711no—
1449C22⋊C8—711no—
1450C22⋊C8—711no—
1451C22⋊C8—711no—
1452C22⋊C8—711no—
1453C22⋊C8C22×D7111yescharacteristic
1454C22⋊C8C22×D7111yescharacteristic
1455C22⋊C8C22×D7111yescharacteristic, complemented
1456C22⋊C8C22×D7111yescharacteristic, complemented
1457#97—711no—
1458#97—711no—
1459C4×C8—711no—
1460C4×C8—711no—
1461C24—21no—
1462C24—21no—
1463C24—21no—
1464C24—2844no—
1465C24—5682no—
1466C24—5682no—
1467C24—711no—
1468C24—1421no—
1469C24—1421no—
1470C24—1421no—
1471C24—1421no—
1472C24—1421no—
1473#41—22no—
1474#41—22no—
1475#41—41no—
1476#41—41no—
1477#41—41no—
1478#41—41no—
1479#41—41no—
1480#41—41no—
1481#41—41no—
1482#41—41no—
1483#41—44no—
1484#41—2841no—
1485#41—2841no—
1486C2×Q8—2841no—
1487C2×Q8—2841no—
1488C2×Q8—2841no—
1489C2×Q8—2841no—
1490C2×Q8—711no—
1491C2×Q8—711no—
1492C2×Q8—1421no—
1493C2×Q8—1421no—
1494C2×Q8—1421no—
1495C2×Q8D4×D7111yescharacteristic
1496C2×Q8C23×D7111yescharacteristic
1497C2×Q8C23×D7111yescharacteristic
1498C2×D4—22no—
1499C2×D4—22no—
1500C2×D4—22no—
1501C2×D4—22no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—41no—
1512C2×D4—41no—
1513C2×D4—44no—
1514C2×D4—44no—
1515C2×D4—44no—
1516C2×D4—2841no—
1517C2×D4—2841no—
1518C2×D4—2844no—
1519C2×D4—2844no—
1520C2×D4—2844no—
1521C2×D4—2841no—
1522C2×D4—2841no—
1523C2×D4—2841no—
1524C2×D4—2841no—
1525C2×D4—5682no—
1526C2×D4—5682no—
1527C2×D4—5682no—
1528C2×D4—5682no—
1529C2×D4—711no—
1530C2×D4—711no—
1531C2×D4—711no—
1532C2×D4—711no—
1533C2×D4—711no—
1534C2×D4—711no—
1535C2×D4—1421no—
1536C2×D4—1421no—
1537C2×D4—1421no—
1538C2×D4—1421no—
1539C2×D4—1421no—
1540C2×D4—1421no—
1541C2×D4—1421no—
1542C2×D4—1421no—
1543C2×D4—1421no—
1544C2×D4—1421no—
1545C2×D4—1421no—
1546C2×D4—1422no—
1547C2×D4—1422no—
1548C2×D4—1422no—
1549C2×D4—1422no—
1550C2×D4—1421no—
1551C2×D4—1421no—
1552C2×D4—1421no—
1553C2×D4—1421no—
1554C2×D4—1421no—
1555C2×D4—1421no—
1556C2×D4D4×D7111yescharacteristic
1557C2×D4D4×D7111yescharacteristic
1558C2×D4D4×D7111yescharacteristic
1559C2×D4C23×D7111yescharacteristic
1560C2×D4C23×D7111yescharacteristic
1561C2×D4C23×D7111yescharacteristic
1562C2×D4C23×D7111yescharacteristic
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—21no—
1567C22×C4—21no—
1568C22×C4—2841no—
1569C22×C4—2841no—
1570C22×C4—711no—
1571C22×C4—711no—
1572C22×C4—711no—
1573C22×C4—711no—
1574C22×C4—711no—
1575C22×C4—1421no—
1576C22×C4—1421no—
1577C22×C4—1421no—
1578C22×C4—1421no—
1579C22×C4—1421no—
1580C22×C4—1421no—
1581C22×C4—1421no—
1582C22×C4—1421no—
1583C22×C4—1421no—
1584C22×C4C23×D7111yescharacteristic
1585C22×C4C23×D7111yescharacteristic
1586C22×C4C23×D7111yescharacteristic
1587Q16—41no—
1588Q16—2841no—
1589Q16—2841no—
1590SD16—22no—
1591SD16—22no—
1592SD16—41no—
1593SD16—41no—
1594SD16—2841no—
1595SD16—2841no—
1596SD16—2841no—
1597SD16—2841no—
1598SD16—2841no—
1599SD16—2841no—
1600SD16—2841no—
1601SD16—2841no—
1602SD16—1422no—
1603SD16—1422no—
1604SD16—1422no—
1605SD16—1422no—
1606D8—22no—
1607D8—22no—
1608D8—41no—
1609D8—2841no—
1610D8—2841no—
1611M16—41no—
1612M16—2841no—
1613M16—2841no—
1614M16—2841no—
1615C2×C8—41no—
1616C2×C8—2841no—
1617C2×C8—2841no—
1618C2×C8—2841no—
1619C2×C8—711no—
1620C2×C8—711no—
1621C2×C8—711no—
1622C2×C8—711no—
1623C2×C8C23×D7111yescharacteristic
1624C2×C8C23×D7111yescharacteristic
1625C2×C8C23×D7111yescharacteristic
1626C2×C8C23×D7111yescharacteristic
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4—711no—
1631C4⋊C4—711no—
1632C4⋊C4—711no—
1633C4⋊C4—711no—
1634C4⋊C4—711no—
1635C4⋊C4—711no—
1636C4⋊C4—711no—
1637C4⋊C4—711no—
1638C4⋊C4—711no—
1639C4⋊C4—711no—
1640C4⋊C4—1421no—
1641C4⋊C4—1421no—
1642C4⋊C4—1421no—
1643C4⋊C4—1421no—
1644C4⋊C4—1421no—
1645C4⋊C4—1421no—
1646C4⋊C4—1421no—
1647C4⋊C4—1421no—
1648C4⋊C4—1421no—
1649C4⋊C4—1421no—
1650C4⋊C4—1421no—
1651C4⋊C4—1421no—
1652C4⋊C4—1421no—
1653C4⋊C4—1421no—
1654C4⋊C4—1421no—
1655C4⋊C4—1421no—
1656C4⋊C4—1421no—
1657C4⋊C4—1421no—
1658C4⋊C4C23×D7111yescharacteristic
1659C4⋊C4C23×D7111yescharacteristic
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—711no—
1665C22⋊C4—711no—
1666C22⋊C4—711no—
1667C22⋊C4—711no—
1668C22⋊C4—711no—
1669C22⋊C4—711no—
1670C22⋊C4—711no—
1671C22⋊C4—711no—
1672C22⋊C4—711no—
1673C22⋊C4—711no—
1674C22⋊C4—1421no—
1675C22⋊C4—1421no—
1676C22⋊C4—1421no—
1677C22⋊C4—1421no—
1678C22⋊C4—1421no—
1679C22⋊C4—1421no—
1680C22⋊C4—1421no—
1681C22⋊C4—1421no—
1682C22⋊C4—1421no—
1683C22⋊C4—1421no—
1684C22⋊C4—1421no—
1685C22⋊C4—1421no—
1686C22⋊C4—1421no—
1687C22⋊C4—1421no—
1688C22⋊C4—1421no—
1689C22⋊C4—1421no—
1690C22⋊C4—1421no—
1691C22⋊C4—1421no—
1692C22⋊C4—1421no—
1693C22⋊C4—1421no—
1694C22⋊C4—1421no—
1695C22⋊C4—1421no—
1696C22⋊C4—1421no—
1697C22⋊C4—1421no—
1698C22⋊C4—1421no—
1699C22⋊C4—1421no—
1700C22⋊C4—1421no—
1701C22⋊C4—1421no—
1702C22⋊C4—1421no—
1703C22⋊C4—1421no—
1704C42—711no—
1705C42—711no—
1706C42—1421no—
1707C42—1421no—
1708C42—1421no—
1709C42—1421no—
1710C42—1421no—
1711C42—1421no—
1712C23—24no—
1713C23—21no—
1714C23—21no—
1715C23—21no—
1716C23—21no—
1717C23—42no—
1718C23—42no—
1719C23—81no—
1720C23—81no—
1721C23—81no—
1722C23—81no—
1723C23—81no—
1724C23—81no—
1725C23—2841no—
1726C23—2841no—
1727C23—2842no—
1728C23—2842no—
1729C23—2842no—
1730C23—2842no—
1731C23—2842no—
1732C23—2842no—
1733C23—2842no—
1734C23—2842no—
1735C23—2842no—
1736C23—5681no—
1737C23—5681no—
1738C23—5681no—
1739C23—5681no—
1740C23—5681no—
1741C23—5681no—
1742C23—56816no—
1743C23—711no—
1744C23—711no—
1745C23—1422no—
1746C23—1421no—
1747C23—1421no—
1748C23C2×D4×D7111yescharacteristic
1749C23C2×D4×D7111yescharacteristic
1750C23C2×D4×D7111yescharacteristic
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—41no—
1756Q8—5681no—
1757Q8—5681no—
1758Q8—5681no—
1759Q8—1421no—
1760Q8—1421no—
1761Q8—1421no—
1762Q8—1421no—
1763D4—24no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—21no—
1770D4—41no—
1771D4—41no—
1772D4—41no—
1773D4—42no—
1774D4—42no—
1775D4—42no—
1776D4—42no—
1777D4—42no—
1778D4—81no—
1779D4—81no—
1780D4—81no—
1781D4—2842no—
1782D4—2842no—
1783D4—2842no—
1784D4—2842no—
1785D4—2842no—
1786D4—2842no—
1787D4—2842no—
1788D4—2842no—
1789D4—2841no—
1790D4—2841no—
1791D4—5681no—
1792D4—5681no—
1793D4—5681no—
1794D4—5681no—
1795D4—5681no—
1796D4—5681no—
1797D4—5681no—
1798D4—5681no—
1799D4—5681no—
1800D4—1422no—
1801D4—1422no—
1802D4—1421no—
1803D4—1421no—
1804D4—1421no—
1805D4—1421no—
1806D4#1455617312yes—
1807D4#1455617312yes—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—42no—
1819C2×C4—42no—
1820C2×C4—42no—
1821C2×C4—81no—
1822C2×C4—81no—
1823C2×C4—2841no—
1824C2×C4—2841no—
1825C2×C4—2841no—
1826C2×C4—5681no—
1827C2×C4—5681no—
1828C2×C4—5681no—
1829C2×C4—5681no—
1830C2×C4—5681no—
1831C2×C4—5681no—
1832C2×C4—5681no—
1833C2×C4—5681no—
1834C2×C4—5681no—
1835C2×C4—711no—
1836C2×C4—711no—
1837C2×C4—711no—
1838C2×C4—711no—
1839C2×C4—711no—
1840C2×C4—711no—
1841C2×C4—1421no—
1842C2×C4—1421no—
1843C2×C4—1421no—
1844C2×C4—1421no—
1845C2×C4—1421no—
1846C2×C4—1421no—
1847C2×C4—1421no—
1848C2×C4—1421no—
1849C2×C4—1421no—
1850C2×C4—1421no—
1851C2×C4C2×D4×D7111yescharacteristic
1852C2×C4C2×D4×D7111yescharacteristic
1853C2×C4C2×D4×D7111yescharacteristic
1854C2×C4C24×D7111yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—1421no—
1860C8—1421no—
1861C8—1421no—
1862C8—1421no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—21no—
1870C22—21no—
1871C22—21no—
1872C22—22no—
1873C22—22no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—84no—
1885C22—162no—
1886C22—162no—
1887C22—2844no—
1888C22—2841no—
1889C22—2841no—
1890C22—2841no—
1891C22—2841no—
1892C22—2841no—
1893C22—2841no—
1894C22—5684no—
1895C22—5684no—
1896C22—5684no—
1897C22—5684no—
1898C22—5684no—
1899C22—712no—
1900C22—1421no—
1901C22—1421no—
1902C22—1421no—
1903C22—1421no—
1904C22—1421no—
1905C22C22×D4×D7111yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—41no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—2841no—
1914C4—2841no—
1915C4—2841no—
1916C4—2841no—
1917C4—2841no—
1918C4—2841no—
1919C4—1421no—
1920C4—1421no—
1921C4—1421no—
1922C4—1421no—
1923C4—1421no—
1924C4—1421no—
1925C4C2×#1455617311yescharacteristic
1926C4C2×#1455617311yescharacteristic
1927C2—41no—
1928C2—41no—
1929C2—41no—
1930C2—42no—
1931C2—42no—
1932C2—81no—
1933C2—81no—
1934C2—2841no—
1935C2—5681no—
1936C2—5681no—
1937C2—1422no—
1938C2#2260196911yescharacteristic
1939C2#577×D7111yescharacteristic
1940C2#2260311511yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3012C2
socleC22×C71C23×D4
hypercenter#3012D71
hypocenterC71#61610
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3012

Complements

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

NH ≅ G/Ntype
1. #22602621C2semidirect
2. #22601971C2semidirect
3. #22600564C2semidirect
4. #22600557C2semidirect
5. #22600474C2semidirect
6. #22600422C2semidirect
7. #22600380C2semidirect
8. #22600357C2semidirect
9. #22600183C2semidirect
10. #22600160C2semidirect
11. #22600041C2semidirect
12. #22600034C2semidirect
13. #22599969C2semidirect
14. #22599934C2semidirect
15. #22599865C2semidirect
16. #22599848C2semidirect
17. #22599839C2semidirect
18. #22599829C2semidirect
19. #22599432C2semidirect
20. #22599410C2semidirect
21. #22599213C2semidirect
22. #22599186C2semidirect
23. #22599168C2semidirect
24. #22599130C2semidirect
25. #22598586C2semidirect
26. #22598517C2semidirect
27. #22597617C2semidirect
28. #22597564C2semidirect
29. #450×D71C2semidirect
30. #22597383C2semidirect
31. C71×#3012C2semidirect
33. C2×#14556158C22semidirect
34. C2×#14556152C22semidirect
35. C2×#14556152C22semidirect
36. C22×#11765853C22semidirect
37. C2×SD16×D71C22semidirect
38. C2×SD16×D71C22semidirect
41. #17986720C22semidirect
42. #17986704C22semidirect
45. #17986696C22semidirect
46. #17986684C22semidirect
47. #17986662C22semidirect
48. #17986656C22semidirect
49. #17986655C22semidirect
50. #17986648C22semidirect
64. #17986616C22semidirect
65. #17986609C22semidirect
69. #17986570C22semidirect
74. #17986509C22semidirect
77. C22⋊Q8×D71C22semidirect
81. #17986392C22semidirect
82. #17986387C22semidirect
83. #17986380C22semidirect
84. #17986370C22semidirect
85. #17986362C22semidirect
86. #17986360C22semidirect
87. #17986355C22semidirect
88. #17986344C22semidirect
89. #17986341C22semidirect
90. #17986341C22semidirect
91. #17986339C22semidirect
92. #17986337C22semidirect
93. #17986333C22semidirect
94. #17986324C22semidirect
95. #17986324C22semidirect
96. #17986322C22semidirect
97. #17986320C22semidirect
98. #17986317C22semidirect
99. #17986316C22semidirect
100. #17986312C22semidirect
101. #17986301C22semidirect
102. #17986297C22semidirect
103. #17986287C22semidirect
104. #17986277C22semidirect
105. #17986256C22semidirect
106. #17986254C22semidirect
107. #17986250C22semidirect
108. #17986247C22semidirect
109. #17986245C22semidirect
110. #17986245C22semidirect
111. #17986244C22semidirect
112. #17986242C22semidirect
113. #17986239C22semidirect
114. #17986233C22semidirect
115. #17986232C22semidirect
116. #17986230C22semidirect
117. #17986228C22semidirect
118. #17986228C22semidirect
119. #17986227C22semidirect
120. #17986225C22semidirect
121. #17986224C22semidirect
122. #17986224C22semidirect
123. #17986223C22semidirect
124. #17986216C22semidirect
125. #17986212C22semidirect
126. #17986212C22semidirect
127. #17986202C22semidirect
128. #17986202C22semidirect
129. #17986198C22semidirect
130. #17986198C22semidirect
131. #17986197C22semidirect
132. #17986192C22semidirect
133. #17986161C22semidirect
134. #17986161C22semidirect
135. #17986161C22semidirect
136. #17986161C22semidirect
137. #17986158C22semidirect
138. #17986153C22semidirect
139. #17986152C22semidirect
140. #17986152C22semidirect
141. #17986151C22semidirect
142. #17986151C22semidirect
143. #17986151C22semidirect
144. #17986151C22semidirect
147. #17986150C22semidirect
148. #17986150C22semidirect
149. #17986149C22semidirect
150. #17986148C22semidirect
151. #17986148C22semidirect
152. #17986144C22semidirect
153. #17986144C22semidirect
154. #17986141C22semidirect
155. #17986140C22semidirect
156. #17986140C22semidirect
157. #17986136C22semidirect
158. #17986132C22semidirect
159. #17986131C22semidirect
160. #17986131C22semidirect
161. #17986111C22semidirect
162. #17986100C22semidirect
163. #17986096C22semidirect
164. #17986096C22semidirect
165. #17986090C22semidirect
166. #17986090C22semidirect
167. SD16×Dic71C22semidirect
168. D8×Dic71C22semidirect
169. #17986075C22semidirect
170. #17986074C22semidirect
171. #17986073C22semidirect
172. #17986070C22semidirect
173. #17986068C22semidirect
174. #17986067C22semidirect
175. C8×C22⋊D71C22semidirect
176. (C22⋊D71)⋊C8C22semidirect
177. #17986057C22semidirect
178. #17986057C22semidirect
179. #17986004C22semidirect
180. #17986002C22semidirect
181. #17986002C22semidirect
182. #17985995C22semidirect
183. #102×D71C22semidirect
184. #102×D71C22semidirect
185. #17985966C22semidirect
186. #17985961C22semidirect
187. C22⋊C8×D71C22semidirect
189. C2×AGL(1,ℤ/8)×C71C22semidirect
190. C2×#135×C71C22semidirect
191. #537×C71C22semidirect
192. #452×C71C22semidirect
193. #452×C71C22semidirect
195. #450×C71C22semidirect
196. #449×C71C22semidirect
197. #449×C71C22semidirect
199. #447×C71C22semidirect
200. #417×C71C22semidirect
201. C2×#102×C71C22semidirect
202. #408×C71C22semidirect
205. C22×Dic142C23semidirect
225. C2×#11765855C23semidirect
226. C2×#11765855C23semidirect
236. C2×#11765853C23semidirect
237. C2×#11765853C23semidirect
244. C2×#11765849C23semidirect
247. C22×C71⋊C8C23semidirect
251. #14556127C23semidirect
253. #14556126C23semidirect
265. #14556119C23semidirect
275. #14556115C23semidirect
299. #14556107C23semidirect
300. #14556107C23semidirect
356. Q8×Dic71C23semidirect
358. #14556093C23semidirect
359. #14556093C23semidirect
368. D4×Dic71C23semidirect
383. #14556087C23semidirect
395. #14556062C23semidirect
396. #14556062C23semidirect
397. #14556061C23semidirect
398. #14556061C23semidirect
399. #14556060C23semidirect
400. #14556060C23semidirect
401. #14556059C23semidirect
402. #14556059C23semidirect
403. Dic71⋊C8C23semidirect
404. Dic71⋊C8C23semidirect
405. Dic71⋊C8C23semidirect
406. Dic71⋊C8C23semidirect
407. #14556053C23semidirect
408. #14556053C23semidirect
409. #14556053C23semidirect
410. #14556053C23semidirect
411. #14556052C23semidirect
412. #14556052C23semidirect
413. #14556052C23semidirect
414. #14556052C23semidirect
423. #14556049C23semidirect
424. #14556049C23semidirect
425. #14556049C23semidirect
426. #14556049C23semidirect
433. C22⋊(C71⋊C8)C23semidirect
434. C22⋊(C71⋊C8)C23semidirect
439. #14556038C23semidirect
440. #14556038C23semidirect
441. C8×Dic71C23semidirect
442. C8×Dic71C23semidirect
450. C2×#41×C71C23semidirect
459. C2×Q16×C71C23semidirect
462. C2×SD16×C71C23semidirect
463. C2×SD16×C71C23semidirect
466. C2×D8×C71C23semidirect
467. C2×M16×C71C23semidirect
468. C22×C8×C71C23semidirect
471. C22⋊Q8×C71C23semidirect
476. #121×C71C23semidirect
477. C2×C4⋊C4×C71C23semidirect
478. #103×C71C23semidirect
479. #103×C71C23semidirect
484. #102×C71C23semidirect
485. #102×C71C23semidirect
488. C22⋊C8×C71C23semidirect
489. C22⋊C8×C71C23semidirect
997. #3012D71semidirect
1002. C71#61610semidirect
1008. C2×AGL(1,ℤ/8)C2×D71semidirect
1009. C2×#135C2×D71semidirect
1043. #537C2×D71semidirect
1113. #452C2×D71semidirect
1114. #452C2×D71semidirect
1130. #450C2×D71semidirect
1134. #449C2×D71semidirect
1135. #449C2×D71semidirect
1143. #447C2×D71semidirect
1165. #417C2×D71semidirect
1169. C2×#102C2×D71semidirect
1171. #408C2×D71semidirect
1183. C2×#41C22×D71semidirect
1214. C2×Q16C22×D71semidirect
1232. C2×SD16C22×D71semidirect
1233. C2×SD16C22×D71semidirect
1238. C2×D8C22×D71semidirect
1242. C2×M16C22×D71semidirect
1246. C22×C8C22×D71semidirect
1312. C22⋊Q8C22×D71semidirect
1340. #121C22×D71semidirect
1393. C2×C4⋊C4C22×D71semidirect
1421. #103C22×D71semidirect
1422. #103C22×D71semidirect
1443. #102C22×D71semidirect
1444. #102C22×D71semidirect
1455. C22⋊C8C22×D71semidirect
1456. C22⋊C8C22×D71semidirect

Maximal subgroups

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

subgroupindex
#226026212
#226019712
#226005642
#226005572
#226004742
#226004222
#226003802
#226003572
#226001832
#226001602
#226000412
#226000342
#225999692
#225999342
#225998652
#225998482
#225998392
#225998292
#225994322
#225994102
#225992132
#225991862
#225991682
#225991302
#225985862
#225985172
#225976172
#225975642
#450×D712
#225973832
C71×#30122
#6161071