Finite Group Databasebeta

← #32876559

Subgroups — #32876559

Order 18176.

1866 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22602064C211yesmaximal, characteristic, complemented
2#22602040C211yesmaximal, characteristic, complemented
3#22600963C211yesmaximal, characteristic, complemented
4#22600961C211yesmaximal, characteristic, complemented
5#22600943C211yesmaximal, characteristic, complemented
6#22600942C211yesmaximal, characteristic, complemented
7#22600839C211yesmaximal, characteristic, complemented
8#22600838C211yesmaximal, characteristic, complemented
9#22600830C211yesmaximal, characteristic, complemented
10#22600829C211yesmaximal, characteristic, complemented
11#22600814C211yesmaximal, characteristic, complemented
12#22600812C211yesmaximal, characteristic, complemented
13#22600778C211yesmaximal, characteristic, complemented
14#22600725C211yesmaximal, characteristic, complemented
15#22600719C211yesmaximal, characteristic, complemented
16#22600685C211yesmaximal, characteristic, complemented
17#22600683C211yesmaximal, characteristic, complemented
18#22598875C211yesmaximal, characteristic, complemented
19#22598319C211yesmaximal, characteristic, complemented
20#22598293C211yesmaximal, characteristic, complemented
21#22598254C211yesmaximal, characteristic, complemented
22#480×D71C211yesmaximal, characteristic, complemented
23#22598188C211yesmaximal, characteristic, complemented
24#22598170C211yesmaximal, characteristic, complemented
25#22598015C211yesmaximal, characteristic, complemented
26#22597952C211yesmaximal, characteristic, complemented
27#22597171C211yesmaximal, characteristic, complemented
28#22597066C211yesmaximal, characteristic, complemented
29#22596939C211yesmaximal, characteristic, complemented
30C2×#17986040C211yesmaximal, characteristic, complemented
31C71×#3343C211yesmaximal, characteristic, complemented
32C2×#14556155C2211yescharacteristic
33C2×#14556136C2211yescharacteristic
34C22×#11765848C2211yescharacteristic
35#17986715C2211yescharacteristic
36#17986713C2211yescharacteristic
37#17986709C2211yescharacteristic, complemented
38#17986707C2211yescharacteristic, complemented
39#17986705—21no—
40#17986702C2211yescharacteristic, complemented
41#17986701C2211yescharacteristic
42#17986700—21no—
43#17986699C2211yescharacteristic
44#17986697C2211yescharacteristic
45#17986695C2211yescharacteristic
46#17986693C2211yescharacteristic, complemented
47#17986691C2211yescharacteristic, complemented
48#17986682—21no—
49#17986677—21no—
50#17986676—21no—
51#17986653C2211yescharacteristic, complemented
52#17986650C2211yescharacteristic
53#17986650C2211yescharacteristic, complemented
54#17986647—21no—
55#17986641—21no—
56#17986637—21no—
57#17986629C2211yescharacteristic
58#17986626C2211yescharacteristic
59#17986619—21no—
60#17986601—21no—
61#17986597—21no—
62#17986590—21no—
63#17986579C2211yescharacteristic
64#17986565C2211yescharacteristic
65#17986545—21no—
66#17986526—21no—
67#17986512C2211yescharacteristic
68#17986511—21no—
69#17986508C2211yescharacteristic
70#17986507—21no—
71#121×D71C2211yescharacteristic
72#17986481C2211yescharacteristic
73#17986480C2211yescharacteristic
74#17986479C2211yescharacteristic
75#17986471C2211yescharacteristic
76C2×#14556086C2211yescharacteristic
77C2×C4⋊C4×D71C2211yescharacteristic
78#17986408C2211yescharacteristic, complemented
79#17986407C2211yescharacteristic, complemented
80#17986406C2211yescharacteristic, complemented
81#17986403C2211yescharacteristic, complemented
82#17986402C2211yescharacteristic, complemented
83#17986399C2211yescharacteristic, complemented
84#17986398C2211yescharacteristic, complemented
85#17986338C2211yescharacteristic, complemented
86#17986338C2211yescharacteristic, complemented
87#17986338C2211yescharacteristic, complemented
88#17986337C2211yescharacteristic, complemented
89#17986333C2211yescharacteristic, complemented
90#17986332C2211yescharacteristic, complemented
91#17986326C2211yescharacteristic, complemented
92#17986325C2211yescharacteristic, complemented
93#17986325C2211yescharacteristic, complemented
94#17986325C2211yescharacteristic, complemented
95#17986324C2211yescharacteristic, complemented
96#17986323C2211yescharacteristic, complemented
97#17986322C2211yescharacteristic, complemented
98#17986318C2211yescharacteristic, complemented
99#17986318C2211yescharacteristic, complemented
100#17986316C2211yescharacteristic, complemented
101#17986314C2211yescharacteristic
102#17986314C2211yescharacteristic
103#17986314C2211yescharacteristic, complemented
104#17986314C2211yescharacteristic, complemented
105#17986313C2211yescharacteristic
106#17986312C2211yescharacteristic
107#17986312C2211yescharacteristic, complemented
108#17986312C2211yescharacteristic, complemented
109#17986311C2211yescharacteristic
110#17986311C2211yescharacteristic
111#17986310C2211yescharacteristic
112#17986310C2211yescharacteristic, complemented
113#17986306C2211yescharacteristic, complemented
114#17986304C2211yescharacteristic, complemented
115#17986302C2211yescharacteristic, complemented
116#17986301C2211yescharacteristic, complemented
117#17986300C2211yescharacteristic, complemented
118#17986298C2211yescharacteristic, complemented
119#17986296C2211yescharacteristic, complemented
120#17986292C2211yescharacteristic, complemented
121#17986290C2211yescharacteristic, complemented
122#17986287C2211yescharacteristic, complemented
123#17986279C2211yescharacteristic, complemented
124#17986278C2211yescharacteristic, complemented
125#17986278C2211yescharacteristic, complemented
126#17986276C2211yescharacteristic, complemented
127#17986253C2211yescharacteristic
128#17986252C2211yescharacteristic, complemented
129#17986251C2211yescharacteristic
130#17986251C2211yescharacteristic, complemented
131#17986248C2211yescharacteristic
132#17986248C2211yescharacteristic, complemented
133#17986242C2211yescharacteristic
134#17986236C2211yescharacteristic, complemented
135#17986235C2211yescharacteristic
136#17986233C2211yescharacteristic
137#17986233C2211yescharacteristic, complemented
138#17986230C2211yescharacteristic
139#17986230C2211yescharacteristic, complemented
140#17986225C2211yescharacteristic, complemented
141#17986112C2211yescharacteristic, complemented
142#17986108C2211yescharacteristic, complemented
143#17986102C2211yescharacteristic, complemented
144SD16×Dic71C2211yescharacteristic, complemented
145C4×#11765852C2211yescharacteristic, complemented
146#17986081C2211yescharacteristic, complemented
147C4×#11765850C2211yescharacteristic, complemented
148#17986076C2211yescharacteristic, complemented
149#17986075C2211yescharacteristic, complemented
150#17986072C2211yescharacteristic, complemented
151#17986067C2211yescharacteristic, complemented
152#17986067C2211yescharacteristic, complemented
153D4×C71⋊C8C2211yescharacteristic, complemented
154C8×C22⋊D71C2211yescharacteristic, complemented
155#17986041C2211yescharacteristic, complemented
156#17986040C2211yescharacteristic
157#17986040C2211yescharacteristic
158#17986040C2211yescharacteristic
159#17986040C2211yescharacteristic
160#17986040C2211yescharacteristic, complemented
161#17986040C2211yescharacteristic, complemented
162#17986040C2211yescharacteristic, complemented
163#17986040C2211yescharacteristic, complemented
164#17986040C2211yescharacteristic, complemented
165#17986038C2211yescharacteristic
166#17986038C2211yescharacteristic, complemented
167#17986035C2211yescharacteristic, complemented
168#17986034C2211yescharacteristic
169#17986034C2211yescharacteristic
170#17986034C2211yescharacteristic, complemented
171C2×#14556061C2211yescharacteristic, complemented
172C2×#14556061C2211yescharacteristic, complemented
173#107×D71C2211yescharacteristic
174#107×D71C2211yescharacteristic
175#107×D71C2211yescharacteristic, complemented
176C2×#14556060C2211yescharacteristic, complemented
177C2×#14556059C2211yescharacteristic, complemented
178#17986024C2211yescharacteristic
179#17986002C2211yescharacteristic
180#17985999C2211yescharacteristic
181#17985994C2211yescharacteristic
182#17985994C2211yescharacteristic
183#102×D71C2211yescharacteristic
184#102×D71C2211yescharacteristic
185#17985964C2211yescharacteristic
186C22⋊C8×D71C2211yescharacteristic
187#17985956C2211yescharacteristic
188#552×C71C2211yescharacteristic, complemented
189#547×C71C2211yescharacteristic
190#501×C71C2211yescharacteristic, complemented
191#484×C71C2211yescharacteristic, complemented
192#483×C71C2211yescharacteristic, complemented
193#482×C71C2211yescharacteristic, complemented
194#480×C71C2211yescharacteristic
195#478×C71C2211yescharacteristic, complemented
196#477×C71C2211yescharacteristic, complemented
197#468×C71C2211yescharacteristic, complemented
198#465×C71C2211yescharacteristic
199#440×C71C2211yescharacteristic, complemented
200#435×C71C2211yescharacteristic, complemented
201#428×C71C2211yescharacteristic, complemented
202C2×#107×C71C2211yescharacteristic, complemented
203C2×#11765866C2311yescharacteristic
204C2×#11765865—21no—
205C2×#11765865—21no—
206C2×#11765865C2311yescharacteristic
207C2×#11765864—21no—
208C2×D4×D71—21no—
209C2×D4×D71C2311yescharacteristic
210C22×C4×D71—21no—
211C22×C4×D71C2311yescharacteristic
212#14556155—24no—
213C2×#11765852C2311yescharacteristic
214C2×D568C2311yescharacteristic
215C2×#11765850C2311yescharacteristic
216#14556136—24no—
217C2×#11765848—24no—
218C2×#11765848C2311yescharacteristic
219C2×#11765848C2311yescharacteristic
220C2×#11765848C2311yescharacteristic
221C2×#11765848C2311yescharacteristic
222C2×#11765848C2311yescharacteristic
223C22×C71⋊C8C2311yescharacteristic
224C22×C71⋊C8C2311yescharacteristic
225C2×C8×D71C2311yescharacteristic
226C2×C8×D71C2311yescharacteristic
227C2×C8×D71C2311yescharacteristic
228#14556128C2311yescharacteristic
229#14556127—21no—
230#14556127C2311yescharacteristic
231#14556127C2311yescharacteristic
232#14556126—21no—
233#14556124—21no—
234#14556123—21no—
235#14556123—21no—
236#14556123—21no—
237#14556123—21no—
238#14556122—21no—
239#14556121—21no—
240#14556121—21no—
241#14556120—21no—
242#14556120C2311yescharacteristic
243#14556119—21no—
244#14556119C2311yescharacteristic
245#14556119C2311yescharacteristic
246#14556118—21no—
247#14556118—21no—
248#14556118—21no—
249#14556117—21no—
250#14556117—21no—
251#14556115—21no—
252#14556114—21no—
253#14556114—21no—
254#14556113—21no—
255#14556113—21no—
256#14556113—21no—
257#14556113—21no—
258#14556113—21no—
259#14556113D411yescharacteristic
260#14556112—21no—
261#14556112—21no—
262#14556112—21no—
263#14556112—21no—
264#14556111—21no—
265#14556111—21no—
266#14556111—21no—
267#14556110—21no—
268#14556110—21no—
269#14556110D411yescharacteristic
270#14556108—21no—
271#14556108—21no—
272#14556108—21no—
273#14556106—21no—
274#14556106—21no—
275#14556106—21no—
276#14556106—21no—
277#14556106—21no—
278#14556106—21no—
279#14556106—21no—
280#14556106D411yescharacteristic
281#14556105—21no—
282#14556105D411yescharacteristic
283#14556104—21no—
284#14556104C2311yescharacteristic
285#14556104C2311yescharacteristic
286#14556103—21no—
287#14556103—21no—
288#14556103—21no—
289#14556103C2311yescharacteristic
290#14556103C2311yescharacteristic
291#14556103C2311yescharacteristic
292#14556103C2311yescharacteristic
293#14556102—21no—
294#14556102C2311yescharacteristic
295#14556102C2311yescharacteristic
296#14556102C2311yescharacteristic
297#14556102C2311yescharacteristic
298#14556101—21no—
299#14556101—21no—
300#14556101—21no—
301#14556101—21no—
302#14556101—21no—
303#14556101D411yescharacteristic
304#14556100—21no—
305#14556100—21no—
306#14556100—21no—
307#14556100—21no—
308#14556100D411yescharacteristic
309#14556099C2311yescharacteristic
310#14556099C2311yescharacteristic
311#14556098—21no—
312#14556098—21no—
313#14556098D411yescharacteristic
314#14556096—21no—
315#14556096D411yescharacteristic
316Q8×Dic71C2311yescharacteristic
317C4×Dic142—21no—
318#14556093—21no—
319C4×D284—21no—
320C4×D284—21no—
321C4×D284—21no—
322C4×D284—21no—
323C4×D284C2311yescharacteristic
324C4×D284C2311yescharacteristic
325C4×D284C2311yescharacteristic
326D4×Dic71—21no—
327D4×Dic71C2311yescharacteristic
328#14556090—21no—
329#14556090—21no—
330#14556090—21no—
331#14556090—21no—
332#14556090C2311yescharacteristic
333#14556090C2311yescharacteristic
334C4×C22⋊D71—21no—
335C4×C22⋊D71—21no—
336C4×C22⋊D71—21no—
337C4×C22⋊D71—21no—
338C4×C22⋊D71—21no—
339C4×C22⋊D71C2311yescharacteristic
340C4×C22⋊D71C2311yescharacteristic
341(C22⋊D71)⋊C4—21no—
342(C22⋊D71)⋊C4—21no—
343(C22⋊D71)⋊C4—21no—
344(C22⋊D71)⋊C4—21no—
345(C22⋊D71)⋊C4—21no—
346(C22⋊D71)⋊C4—21no—
347#14556087C2311yescharacteristic
348#14556086—21no—
349#14556086—21no—
350#14556086—21no—
351#14556086C2311yescharacteristic
352#14556086C2311yescharacteristic
353#14556086C2311yescharacteristic
354#14556086C2311yescharacteristic
355#14556086C2311yescharacteristic
356#14556086C2311yescharacteristic
357#14556086C2311yescharacteristic
358#14556085—21no—
359#14556085C2311yescharacteristic
360#14556084—21no—
361#14556084—21no—
362C2×C4⋊Dic71C2311yescharacteristic
363C2×C4⋊Dic71C2311yescharacteristic
364C2×C4⋊Dic71C2311yescharacteristic
365C2×Dic71⋊C4—21no—
366C4⋊C4×D71—21no—
367C4⋊C4×D71—21no—
368C4⋊C4×D71—21no—
369C4⋊C4×D71C2311yescharacteristic
370C4⋊C4×D71C2311yescharacteristic
371C4⋊C4×D71C2311yescharacteristic
372C4⋊C4×D71C2311yescharacteristic
373C4⋊C4×D71C2311yescharacteristic
374C4⋊C4×D71C2311yescharacteristic
375C4⋊C4×D71C2311yescharacteristic
376C2×(C2×D71)⋊C4—21no—
377C2×(C2×D71)⋊C4—21no—
378C22⋊C4×D71—21no—
379C22⋊C4×D71—21no—
380C2×C4×Dic71—21no—
381#14556062C2311yescharacteristic
382#14556062C2311yescharacteristic
383#14556062C2311yescharacteristic
384#14556061C2311yescharacteristic
385#14556061C2311yescharacteristic
386#14556061C2311yescharacteristic
387#14556061C2311yescharacteristic
388#14556061C2311yescharacteristic
389#14556061C2311yescharacteristic
390#14556061C2311yescharacteristic
391#14556061C2311yescharacteristic
392#14556061C2311yescharacteristic
393#14556061C2311yescharacteristic
394#14556061C2311yescharacteristic
395#14556061C2311yescharacteristic
396#14556061C2311yescharacteristic
397#14556060C2311yescharacteristic
398#14556060C2311yescharacteristic
399#14556060C2311yescharacteristic
400#14556060C2311yescharacteristic
401#14556060C2311yescharacteristic
402#14556060C2311yescharacteristic
403#14556059C2311yescharacteristic
404#14556059C2311yescharacteristic
405#14556059C2311yescharacteristic
406#14556059C2311yescharacteristic
407#14556059C2311yescharacteristic
408C4⋊(C71⋊C8)C2311yescharacteristic
409Dic71⋊C8C2311yescharacteristic
410Dic71⋊C8C2311yescharacteristic
411#14556052C2311yescharacteristic
412#14556052C2311yescharacteristic
413#14556052C2311yescharacteristic
414#14556050C2311yescharacteristic
415#14556050C2311yescharacteristic
416#14556050C2311yescharacteristic
417#14556050C2311yescharacteristic
418#14556050C2311yescharacteristic
419#14556050C2311yescharacteristic
420#14556049C2311yescharacteristic
421#14556049C2311yescharacteristic
422#14556049C2311yescharacteristic
423#14556048C2311yescharacteristic
424#14556048C2311yescharacteristic
425#14556048C2311yescharacteristic
426#14556048C2311yescharacteristic
427#14556048C2311yescharacteristic
428#14556048C2311yescharacteristic
429C22⋊(C71⋊C8)C2311yescharacteristic
430C22⋊(C71⋊C8)C2311yescharacteristic
431(C2×D71)⋊C8C2311yescharacteristic
432(C2×D71)⋊C8C2311yescharacteristic
433(C2×D71)⋊C8C2311yescharacteristic
434(C2×D71)⋊C8C2311yescharacteristic
435#14556038C2311yescharacteristic
436C4×C71⋊C8C2311yescharacteristic
437C8×Dic71C2311yescharacteristic
438C2×#41×C71—21no—
439C2×SD16×C71C2311yescharacteristic
440C2×M16×C71C2311yescharacteristic
441C22×C8×C71C2311yescharacteristic
442C4⋊Q8×C71C2311yescharacteristic
443#126×C71—21no—
444#125×C71—21no—
445#125×C71C2311yescharacteristic
446#123×C71—21no—
447#123×C71—21no—
448#123×C71—21no—
449C22⋊Q8×C71—21no—
450C22⋊Q8×C71C2311yescharacteristic
451C22⋊Q8×C71C2311yescharacteristic
452#121×C71C2311yescharacteristic
453#121×C71C2311yescharacteristic
454C4×Q8×C71C2311yescharacteristic
455C4×D4×C71C2311yescharacteristic
456C4×D4×C71C2311yescharacteristic
457#117×C71—21no—
458#117×C71C2311yescharacteristic
459C2×C4⋊C4×C71C2311yescharacteristic
460C2×C4⋊C4×C71C2311yescharacteristic
461C2×C4⋊C4×C71C2311yescharacteristic
462#107×C71C2311yescharacteristic
463#107×C71C2311yescharacteristic
464#107×C71C2311yescharacteristic
465#107×C71C2311yescharacteristic
466#107×C71C2311yescharacteristic
467#107×C71C2311yescharacteristic
468#106×C71C2311yescharacteristic
469#106×C71C2311yescharacteristic
470#106×C71C2311yescharacteristic
471C4⋊C8×C71C2311yescharacteristic
472#103×C71C2311yescharacteristic
473#103×C71C2311yescharacteristic
474#103×C71C2311yescharacteristic
475#102×C71C2311yescharacteristic
476#102×C71C2311yescharacteristic
477#102×C71C2311yescharacteristic
478C22⋊C8×C71C2311yescharacteristic
479C22⋊C8×C71C2311yescharacteristic
480#97×C71C2311yescharacteristic
481C23×D71—21no—
482C23×D71C2×D411yescharacteristic
483#11765866—22no—
484#11765866—22no—
485#11765865—22no—
486#11765865—22no—
487#11765865—82no—
488#11765865—82no—
489#11765864—82no—
490C2×Dic142—21no—
491C2×Dic142—21no—
492C2×Dic142—21no—
493C2×Dic142C2×D411yescharacteristic
494C2×D284—21no—
495C2×D284—21no—
496C2×D284—21no—
497C2×D284—21no—
498C2×D284—21no—
499C2×D284C2×D411yescharacteristic
500C2×D284C2×D411yescharacteristic
501C2×D284C2411yescharacteristic
502C2×D284C2411yescharacteristic
503C2×C22⋊D71—21no—
504C2×C22⋊D71—21no—
505C2×C22⋊D71—21no—
506C2×C22⋊D71—21no—
507C2×C22⋊D71—21no—
508C2×C22⋊D71—21no—
509C2×C22⋊D71—21no—
510C2×C22⋊D71C2×D411yescharacteristic
511C2×C22⋊D71C2×D411yescharacteristic
512C2×C22⋊D71C2×D411yescharacteristic
513C2×C22⋊D71C2×D411yescharacteristic
514D4×D71—22no—
515D4×D71—22no—
516D4×D71—82no—
517C22×Dic71—21no—
518C22×Dic71—21no—
519C22×Dic71—21no—
520C22×Dic71—21no—
521C22×Dic71C2×D411yescharacteristic
522C2×C4×D71—22no—
523C2×C4×D71—22no—
524C2×C4×D71—21no—
525C2×C4×D71—21no—
526C2×C4×D71—21no—
527C2×C4×D71—21no—
528C2×C4×D71—21no—
529C2×C4×D71—21no—
530C2×C4×D71—21no—
531C2×C4×D71—21no—
532C2×C4×D71—21no—
533C2×C4×D71—21no—
534C2×C4×D71—21no—
535C2×C4×D71—21no—
536C2×C4×D71—82no—
537C2×C4×D71C2×D411yescharacteristic
538C2×C4×D71C2×D411yescharacteristic
539C2×C4×D71C2411yescharacteristic
540C2×C4×D71C2411yescharacteristic
541C2×C4×D71C2411yescharacteristic
542#11765852—22no—
543D568—22no—
544#11765850—22no—
545#11765848—22no—
546#11765848—22no—
547#11765848—22no—
548#11765848—22no—
549#11765848#4114yescomplemented
550C2×C71⋊C8—22no—
551C2×C71⋊C8—22no—
552C2×C71⋊C8C2411yescharacteristic
553C2×C71⋊C8C2411yescharacteristic
554C2×C71⋊C8C2411yescharacteristic
555C2×C71⋊C8C2411yescharacteristic
556C8×D71—22no—
557C8×D71—22no—
558C8×D71—22no—
559C4⋊Dic71—21no—
560C4⋊Dic71—21no—
561C4⋊Dic71—21no—
562C4⋊Dic71—21no—
563C4⋊Dic71—21no—
564C4⋊Dic71—21no—
565C4⋊Dic71—21no—
566C4⋊Dic71C2×D411yescharacteristic
567C4⋊Dic71C2411yescharacteristic
568C4⋊Dic71C2411yescharacteristic
569C4⋊Dic71C2411yescharacteristic
570C4⋊Dic71C2411yescharacteristic
571C4⋊Dic71C2411yescharacteristic
572C4⋊Dic71C2411yescharacteristic
573Dic71⋊C4—21no—
574Dic71⋊C4—21no—
575Dic71⋊C4—21no—
576Dic71⋊C4—21no—
577Dic71⋊C4—21no—
578Dic71⋊C4—21no—
579Dic71⋊C4—21no—
580Dic71⋊C4—21no—
581Dic71⋊C4—21no—
582Dic71⋊C4—21no—
583Dic71⋊C4—21no—
584Dic71⋊C4—21no—
585Dic71⋊C4—21no—
586Dic71⋊C4—21no—
587Dic71⋊C4—21no—
588Dic71⋊C4C2×D411yescharacteristic
589Dic71⋊C4C2×D411yescharacteristic
590Dic71⋊C4C2×D411yescharacteristic
591Dic71⋊C4C2×D411yescharacteristic
592C22⋊Dic71—21no—
593C22⋊Dic71—21no—
594C22⋊Dic71—21no—
595C22⋊Dic71—21no—
596C22⋊Dic71C2×D411yescharacteristic
597C22⋊Dic71C2×D411yescharacteristic
598(C2×D71)⋊C4—21no—
599(C2×D71)⋊C4—21no—
600(C2×D71)⋊C4—21no—
601(C2×D71)⋊C4—21no—
602(C2×D71)⋊C4—21no—
603(C2×D71)⋊C4—21no—
604(C2×D71)⋊C4—21no—
605(C2×D71)⋊C4—21no—
606(C2×D71)⋊C4—21no—
607(C2×D71)⋊C4—21no—
608(C2×D71)⋊C4—21no—
609(C2×D71)⋊C4—21no—
610(C2×D71)⋊C4—21no—
611(C2×D71)⋊C4—21no—
612(C2×D71)⋊C4—21no—
613(C2×D71)⋊C4—21no—
614(C2×D71)⋊C4—21no—
615(C2×D71)⋊C4—21no—
616(C2×D71)⋊C4—21no—
617(C2×D71)⋊C4—21no—
618(C2×D71)⋊C4—21no—
619(C2×D71)⋊C4C2×D411yescharacteristic
620(C2×D71)⋊C4C2×D411yescharacteristic
621(C2×D71)⋊C4C2×D411yescharacteristic
622(C2×D71)⋊C4C2×D411yescharacteristic
623(C2×D71)⋊C4C2×D411yescharacteristic
624(C2×D71)⋊C4C2×D411yescharacteristic
625C4×Dic71—21no—
626C4×Dic71—21no—
627C4×Dic71—21no—
628C4×Dic71—21no—
629C4×Dic71—21no—
630C4×Dic71—21no—
631C4×Dic71—21no—
632C4×Dic71—21no—
633C4×Dic71—21no—
634C4×Dic71C2411yescharacteristic
635#41×C71—82no—
636C2×Q8×C71—21no—
637C2×Q8×C71C2411yescharacteristic
638C2×D4×C71—21no—
639C2×D4×C71—21no—
640C2×D4×C71C2×D411yescharacteristic
641C2×D4×C71C2411yescharacteristic
642C22×C4×C71—21no—
643C22×C4×C71—21no—
644C22×C4×C71—21no—
645C22×C4×C71—21no—
646C22×C4×C71C2411yescharacteristic
647C22×C4×C71C2411yescharacteristic
648SD16×C71—22no—
649M16×C71—22no—
650C2×C8×C71—22no—
651C2×C8×C71C2411yescharacteristic
652C2×C8×C71C2411yescharacteristic
653C2×C8×C71C2411yescharacteristic
654C2×C8×C71C2411yescharacteristic
655C4⋊C4×C71—21no—
656C4⋊C4×C71—21no—
657C4⋊C4×C71—21no—
658C4⋊C4×C71—21no—
659C4⋊C4×C71—21no—
660C4⋊C4×C71—21no—
661C4⋊C4×C71—21no—
662C4⋊C4×C71—21no—
663C4⋊C4×C71—21no—
664C4⋊C4×C71C2×D411yescharacteristic
665C4⋊C4×C71C2411yescharacteristic
666C4⋊C4×C71C2411yescharacteristic
667C4⋊C4×C71C2411yescharacteristic
668C4⋊C4×C71C2411yescharacteristic
669C4⋊C4×C71C2411yescharacteristic
670C4⋊C4×C71C2411yescharacteristic
671C22⋊C4×C71—21no—
672C22⋊C4×C71—21no—
673C22⋊C4×C71—21no—
674C22⋊C4×C71—21no—
675C22⋊C4×C71—21no—
676C22⋊C4×C71—21no—
677C22⋊C4×C71C2×D411yescharacteristic
678C22⋊C4×C71C2×D411yescharacteristic
679C42×C71—21no—
680C42×C71—21no—
681C42×C71C2411yescharacteristic
682C23×C71—21no—
683C23×C71C22×D411yescharacteristic
684C23×C71C22×D411yescharacteristic
685C22×D71—22no—
686C22×D71—22no—
687C22×D71—21no—
688C22×D71—21no—
689C22×D71—41no—
690C22×D71—42no—
691C22×D71—81no—
692C22×D71—81no—
693C22×D71C22×D411yescharacteristic
694C22×D71C22×D411yescharacteristic
695C22×D71C22×D411yescharacteristic
696Q8×C71—21no—
697Q8×C71—21no—
698Q8×C71—81no—
699D4×C71—22no—
700D4×C71—21no—
701D4×C71—21no—
702D4×C71—42no—
703D4×C71—81no—
704C2×C4×C71—21no—
705C2×C4×C71—21no—
706C2×C4×C71—21no—
707C2×C4×C71—21no—
708C2×C4×C71—21no—
709C2×C4×C71—21no—
710C2×C4×C71—21no—
711C2×C4×C71—21no—
712C2×C4×C71—21no—
713C2×C4×C71—21no—
714C2×C4×C71—21no—
715C2×C4×C71—42no—
716C2×C4×C71—42no—
717C2×C4×C71—81no—
718C2×C4×C71—81no—
719C2×C4×C71C22×D411yescharacteristic
720C2×C4×C71C22×D411yescharacteristic
721C2×C4×C71C22×D411yescharacteristic
722C2×C4×C71C22×D411yescharacteristic
723C2×C4×C71C2511yescharacteristic
724C22⋊D71—22no—
725C22⋊D71—22no—
726C22⋊D71—22no—
727C22⋊D71—41no—
728C22⋊D71—42no—
729C22⋊D71—42no—
730C22⋊D71—42no—
731C22⋊D71—81no—
732C22⋊D71—81no—
733C22⋊D71—81no—
734C22⋊D71—81no—
735C2×Dic71—22no—
736C2×Dic71—21no—
737C2×Dic71—21no—
738C2×Dic71—21no—
739C2×Dic71—21no—
740C2×Dic71—21no—
741C2×Dic71—21no—
742C2×Dic71—42no—
743C2×Dic71—81no—
744C2×Dic71—81no—
745C2×Dic71—81no—
746C2×Dic71C22×D411yescharacteristic
747C2×Dic71C22×D411yescharacteristic
748C2×Dic71C22×D411yescharacteristic
749C2×Dic71C22×D411yescharacteristic
750C2×Dic71C22×D411yescharacteristic
751D284—22no—
752D284—21no—
753D284—21no—
754D284—21no—
755D284—21no—
756D284—41no—
757D284—42no—
758D284—42no—
759D284—81no—
760D284—81no—
761D284—81no—
762C4×D71—22no—
763C4×D71—21no—
764C4×D71—21no—
765C4×D71—21no—
766C4×D71—21no—
767C4×D71—22no—
768C4×D71—42no—
769C4×D71—81no—
770C4×D71—81no—
771C4×D71—81no—
772C4×D71—81no—
773C4×D71—81no—
774C4×D71—81no—
775C4×D71—81no—
776C4×D71—81no—
777C4×D71—81no—
778C4×D71—81no—
779C4×D71—81no—
780C4×D71C2×#4112yes—
781C4×D712−1+412yes—
782Dic142—22no—
783Dic142—81no—
784Dic142—81no—
785Dic142—81no—
786C8×C71—21no—
787C8×C71—21no—
788C8×C71—21no—
789C8×C71C2×#4112yes—
790C71⋊C8—21no—
791C71⋊C8—21no—
792C71⋊C8—21no—
793C71⋊C8C2×#4112yes—
794C22×C71—21no—
795C22×C71—21no—
796C22×C71—21no—
797C22×C71—21no—
798C22×C71—21no—
799C22×C71—41no—
800C22×C71—41no—
801C22×C71—41no—
802C22×C71#57612yes—
803C22×C71C23×D411yescharacteristic
804C2×D71—21no—
805C2×D71—21no—
806C2×D71—21no—
807C2×D71—21no—
808C2×D71—21no—
809C2×D71—21no—
810C2×D71—21no—
811C2×D71—21no—
812C2×D71—44no—
813C2×D71—41no—
814C2×D71—41no—
815C2×D71—41no—
816C2×D71—41no—
817C2×D71—41no—
818C2×D71—41no—
819C2×D71—162no—
820C2×D71#54712yes—
821C4×C71—21no—
822C4×C71—21no—
823C4×C71—21no—
824C4×C71—21no—
825C4×C71—41no—
826C4×C71—41no—
827C4×C71—41no—
828C4×C71—41no—
829C4×C71—41no—
830C4×C71—41no—
831C4×C71—41no—
832C4×C71C22×#4111yescharacteristic
833C4×C71C2×2−1+411yescharacteristic
834Dic71—21no—
835Dic71—21no—
836Dic71—21no—
837Dic71—21no—
838Dic71—41no—
839Dic71—41no—
840Dic71—41no—
841Dic71—41no—
842Dic71—41no—
843Dic71—41no—
844Dic71#54712yes—
845#61270—711nomaximal, Sylow
846C2×C71—22no—
847C2×C71—41no—
848C2×C71—81no—
849C2×C71C2×#54711yescharacteristic
850C2×C71C2×#57611yescharacteristic
851C2×C71#358611yescharacteristic
852D71—22no—
853D71—41no—
854D71—41no—
855D71—81no—
856D71—81no—
857#3494—711no—
858#3492—711no—
859#3357—711no—
860#3357—711no—
861#3355—711no—
862#3355—711no—
863#3347—711no—
864#3347—711no—
865#3346—711no—
866#3346—711no—
867#3345—711no—
868#3345—711no—
869#3343—711no—
870#3343D7111yescharacteristic, complemented
871#3337—711no—
872#3337—711no—
873#3334—711no—
874#3334—711no—
875#3164—711no—
876#3098—711no—
877#3096—711no—
878#3091—711no—
879C2×#480—711no—
880#3083—711no—
881#3081—711no—
882#3062—711no—
883#3055—711no—
884#2946—711no—
885#2933—711no—
886#2913—711no—
887C2×#428—711no—
888C71#6127011yescharacteristic, complemented, Sylow
889C2×AGL(1,ℤ/8)—711no—
890C2×#131—711no—
891C22×M16—711no—
892#555—711no—
893#555—711no—
894#554—711no—
895#554—711no—
896#554—1421no—
897#553—711no—
898#553—711no—
899#553—711no—
900#553—711no—
901#553—711no—
902#553—711no—
903#553—1421no—
904#552—711no—
905#552—1421no—
906#552C2×D7111yescharacteristic, complemented
907#551—1421no—
908#551—1421no—
909#547—711no—
910#547—711no—
911#547—711no—
912#547—1421no—
913#547C2×D7111yescharacteristic
914#546—1421no—
915#546—1421no—
916#544—711no—
917#544—711no—
918#542—1421no—
919#540—1421no—
920#539—1421no—
921#539—1421no—
922#537—711no—
923#535—711no—
924#532—1421no—
925#529—1421no—
926#525—711no—
927#525—711no—
928#525—1421no—
929#525—1421no—
930C2×#121—711no—
931#520—711no—
932#520—711no—
933#520—711no—
934#518—711no—
935C2×#117—711no—
936C22×C4⋊C4—711no—
937#501—711no—
938#501—711no—
939#501—711no—
940#501C2×D7111yescharacteristic, complemented
941#500—711no—
942#500—711no—
943#499—711no—
944#499—711no—
945#485—711no—
946#485—711no—
947#485—711no—
948#485—711no—
949#484—711no—
950#484—711no—
951#484C2×D7111yescharacteristic, complemented
952#483C2×D7111yescharacteristic, complemented
953#482—711no—
954#482—711no—
955#482—711no—
956#482—711no—
957#482—711no—
958#482—711no—
959#482—711no—
960#482C2×D7111yescharacteristic, complemented
961#481—711no—
962#481—711no—
963#481—711no—
964#480—711no—
965#480—711no—
966#480—711no—
967#480—711no—
968#480—711no—
969#480—711no—
970#480—711no—
971#480—711no—
972#480—711no—
973#480—711no—
974#480—711no—
975#480—711no—
976#480C2×D7111yescharacteristic
977#479—711no—
978#479—711no—
979#478—711no—
980#478—711no—
981#478—711no—
982#478—711no—
983#478—711no—
984#478C2×D7111yescharacteristic, complemented
985#477—711no—
986#477C2×D7111yescharacteristic, complemented
987#476—711no—
988#476—711no—
989#474—711no—
990#474—711no—
991#474—711no—
992#474—711no—
993#469—711no—
994#469—711no—
995#469—711no—
996#469—711no—
997#468—711no—
998#468—711no—
999#468—711no—
1000#468C2×D7111yescharacteristic, complemented
1001#466—711no—
1002#466—711no—
1003#466—711no—
1004#466—711no—
1005#465—711no—
1006#465—711no—
1007#465—711no—
1008#465C2×D7111yescharacteristic
1009#442—711no—
1010#442—711no—
1011#440—711no—
1012#440C2×D7111yescharacteristic, complemented
1013C4×SD16—711no—
1014C4×SD16—711no—
1015C4×D8—711no—
1016C4×D8—711no—
1017#436—711no—
1018#436—711no—
1019#435—711no—
1020#435—711no—
1021#435—711no—
1022#435C2×D7111yescharacteristic, complemented
1023C8×D4—711no—
1024C8×D4—711no—
1025#428—711no—
1026#428—711no—
1027#428—711no—
1028#428—711no—
1029#428—711no—
1030#428—711no—
1031#428—711no—
1032#428—711no—
1033#428—711no—
1034#428—711no—
1035#428—711no—
1036#428—711no—
1037#428C2×D7111yescharacteristic, complemented
1038#427—711no—
1039#427—711no—
1040#427—711no—
1041#427—711no—
1042C2×#107—711no—
1043C2×#107—711no—
1044C2×#107—711no—
1045C2×#107—711no—
1046C2×#107—711no—
1047C2×#107C2×D7111yescharacteristic, complemented
1048C2×#106—711no—
1049C2×#106—711no—
1050#424—711no—
1051#418—711no—
1052#417—711no—
1053#416—711no—
1054#416—711no—
1055C2×#102—711no—
1056C2×#102—711no—
1057#408—711no—
1058C2×C22⋊C8—711no—
1059#405—711no—
1060C2×#41—21no—
1061C2×#41—711no—
1062C2×#41—711no—
1063C2×#41—1421no—
1064C2×#41—1421no—
1065C2×#41—1421no—
1066C22×D4—711no—
1067C22×D4—1421no—
1068C23×C4—711no—
1069C23×C4—1421no—
1070AGL(1,ℤ/8)—1424no—
1071C2×SD16—711no—
1072C2×SD16C22×D7111yescharacteristic
1073C2×D8—711no—
1074C2×D8—711no—
1075#131—1424no—
1076C2×M16—711no—
1077C2×M16—711no—
1078C2×M16—711no—
1079C2×M16—711no—
1080C2×M16—711no—
1081C2×M16—1424no—
1082C2×M16C22×D7111yescharacteristic
1083C22×C8—711no—
1084C22×C8—711no—
1085C22×C8—711no—
1086C22×C8—711no—
1087C22×C8—711no—
1088C22×C8C22×D7111yescharacteristic
1089C4⋊Q8—711no—
1090C4⋊Q8—711no—
1091C4⋊Q8—711no—
1092C4⋊Q8—1421no—
1093C4⋊Q8—1421no—
1094C4⋊Q8C22×D7111yescharacteristic
1095#127—1421no—
1096#126—21no—
1097#126—1421no—
1098#126—1421no—
1099#126—1421no—
1100#126—1421no—
1101#126—1421no—
1102#126—1421no—
1103#126—1421no—
1104#125—21no—
1105#125—711no—
1106#125—711no—
1107#125—711no—
1108#125—1421no—
1109#125—1421no—
1110#125—1421no—
1111#125—1421no—
1112#125—1421no—
1113#125C22×D7111yescharacteristic
1114#124—1421no—
1115#124—1421no—
1116#124—1421no—
1117#124—1421no—
1118#124—1421no—
1119#123—21no—
1120#123—21no—
1121#123—21no—
1122#123—711no—
1123#123—711no—
1124#123—1421no—
1125#123—1421no—
1126#123—1421no—
1127#123—1421no—
1128#123—1421no—
1129#123—1421no—
1130#123—1421no—
1131#123—1421no—
1132#123—1421no—
1133#123—1421no—
1134#123—1421no—
1135#123—1421no—
1136#123—1421no—
1137#123—1421no—
1138C22⋊Q8—21no—
1139C22⋊Q8—711no—
1140C22⋊Q8—711no—
1141C22⋊Q8—711no—
1142C22⋊Q8—711no—
1143C22⋊Q8—1421no—
1144C22⋊Q8—1421no—
1145C22⋊Q8—1421no—
1146C22⋊Q8—1421no—
1147C22⋊Q8—1421no—
1148C22⋊Q8—1421no—
1149C22⋊Q8—1421no—
1150C22⋊Q8—1421no—
1151C22⋊Q8—1421no—
1152C22⋊Q8—1421no—
1153C22⋊Q8—1421no—
1154C22⋊Q8—1421no—
1155C22⋊Q8C22×D7111yescharacteristic
1156C22⋊Q8C22×D7111yescharacteristic
1157#121—711no—
1158#121—711no—
1159#121—711no—
1160#121—711no—
1161#121—711no—
1162#121—711no—
1163#121—711no—
1164#121—711no—
1165#121—711no—
1166#121—711no—
1167#121—711no—
1168#121—711no—
1169#121—1421no—
1170#121—1421no—
1171#121—1421no—
1172#121—1421no—
1173#121—1421no—
1174#121—1421no—
1175#121—1421no—
1176#121—1421no—
1177#121—1421no—
1178#121—1421no—
1179#121—1421no—
1180#121—1421no—
1181#121—1421no—
1182#121C22×D7111yescharacteristic
1183#121C22×D7111yescharacteristic
1184#120—711no—
1185#120—711no—
1186#120—1421no—
1187#120—1421no—
1188#120—1421no—
1189C4×Q8—711no—
1190C4×Q8—1421no—
1191C4×Q8—1421no—
1192C4×Q8C22×D7111yescharacteristic
1193C4×D4—711no—
1194C4×D4—711no—
1195C4×D4—711no—
1196C4×D4—711no—
1197C4×D4—711no—
1198C4×D4—711no—
1199C4×D4—711no—
1200C4×D4—711no—
1201C4×D4—1421no—
1202C4×D4—1421no—
1203C4×D4—1421no—
1204C4×D4—1421no—
1205C4×D4—1421no—
1206C4×D4—1421no—
1207C4×D4—1421no—
1208C4×D4—1421no—
1209C4×D4—1421no—
1210C4×D4—1421no—
1211C4×D4—1421no—
1212C4×D4—1421no—
1213C4×D4—1421no—
1214C4×D4—1421no—
1215C4×D4—1421no—
1216C4×D4—1421no—
1217C4×D4—1421no—
1218C4×D4—1421no—
1219C4×D4—1421no—
1220C4×D4—1421no—
1221C4×D4C22×D7111yescharacteristic
1222C4×D4C22×D7111yescharacteristic
1223#117—21no—
1224#117—711no—
1225#117—711no—
1226#117—711no—
1227#117—711no—
1228#117—711no—
1229#117—711no—
1230#117—711no—
1231#117—711no—
1232#117—711no—
1233#117—1421no—
1234#117—1421no—
1235#117—1421no—
1236#117—1421no—
1237#117—1421no—
1238#117—1421no—
1239#117C22×D7111yescharacteristic
1240C2×C4⋊C4—711no—
1241C2×C4⋊C4—711no—
1242C2×C4⋊C4—711no—
1243C2×C4⋊C4—711no—
1244C2×C4⋊C4—711no—
1245C2×C4⋊C4—711no—
1246C2×C4⋊C4—711no—
1247C2×C4⋊C4—711no—
1248C2×C4⋊C4—711no—
1249C2×C4⋊C4—711no—
1250C2×C4⋊C4—1421no—
1251C2×C4⋊C4—1421no—
1252C2×C4⋊C4—1421no—
1253C2×C4⋊C4—1421no—
1254C2×C4⋊C4C22×D7111yescharacteristic
1255C2×C4⋊C4C22×D7111yescharacteristic
1256C2×C4⋊C4C22×D7111yescharacteristic
1257C2×C22⋊C4—1421no—
1258C2×C22⋊C4—1421no—
1259C2×C22⋊C4—1421no—
1260C2×C22⋊C4—1421no—
1261C2×C42—1421no—
1262#107—711no—
1263#107—711no—
1264#107—711no—
1265#107—711no—
1266#107—711no—
1267#107—711no—
1268#107—711no—
1269#107—711no—
1270#107—711no—
1271#107—711no—
1272#107—711no—
1273#107—711no—
1274#107—711no—
1275#107—711no—
1276#107—711no—
1277#107—711no—
1278#107C22×D7111yescharacteristic
1279#107C22×D7111yescharacteristic
1280#107C22×D7111yescharacteristic
1281#107C22×D7111yescharacteristic
1282#107C22×D7111yescharacteristic
1283#107C22×D7111yescharacteristic
1284#106—711no—
1285#106—711no—
1286#106—711no—
1287#106—711no—
1288#106—711no—
1289#106—711no—
1290#106—711no—
1291#106—711no—
1292#106—711no—
1293#106—711no—
1294#106—711no—
1295#106C22×D7111yescharacteristic
1296#106C22×D7111yescharacteristic
1297#106C22×D7111yescharacteristic
1298C4⋊C8—711no—
1299C4⋊C8—711no—
1300C4⋊C8—711no—
1301C4⋊C8C22×D7111yescharacteristic
1302#103—711no—
1303#103—711no—
1304#103—711no—
1305#103C22×D7111yescharacteristic
1306#103C22×D7111yescharacteristic
1307#103C22×D7111yescharacteristic
1308#102—711no—
1309#102—711no—
1310#102—711no—
1311#102—711no—
1312#102—711no—
1313#102—711no—
1314#102—711no—
1315#102—711no—
1316#102—711no—
1317#102—711no—
1318#102—711no—
1319#102—711no—
1320#102—711no—
1321#102—711no—
1322#102—711no—
1323#102C22×D7111yescharacteristic
1324#102C22×D7111yescharacteristic
1325#102C22×D7111yescharacteristic
1326C22⋊C8—711no—
1327C22⋊C8—711no—
1328C22⋊C8—711no—
1329C22⋊C8—711no—
1330C22⋊C8—711no—
1331C22⋊C8—711no—
1332C22⋊C8C22×D7111yescharacteristic
1333C22⋊C8C22×D7111yescharacteristic
1334#97—711no—
1335#97C22×D7111yescharacteristic
1336C4×C8—711no—
1337C4×C8—711no—
1338C24—711no—
1339C24—1421no—
1340#41—82no—
1341#41—5682no—
1342#41—5682no—
1343#41—5682no—
1344#41—1422no—
1345#41—1422no—
1346#41—1422no—
1347#41—1422no—
1348C2×Q8—21no—
1349C2×Q8—711no—
1350C2×Q8—1421no—
1351C2×Q8—1421no—
1352C2×Q8—1421no—
1353C2×Q8C23×D7111yescharacteristic
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—5682no—
1357C2×D4—711no—
1358C2×D4—711no—
1359C2×D4—711no—
1360C2×D4—711no—
1361C2×D4—711no—
1362C2×D4—711no—
1363C2×D4—711no—
1364C2×D4—711no—
1365C2×D4—1421no—
1366C2×D4—1421no—
1367C2×D4—1421no—
1368C2×D4—1421no—
1369C2×D4—1421no—
1370C2×D4—1422no—
1371C2×D4—1422no—
1372C2×D4—1421no—
1373C2×D4—1421no—
1374C2×D4—1421no—
1375C2×D4—1421no—
1376C2×D4—1421no—
1377C2×D4—1421no—
1378C2×D4—1421no—
1379C2×D4D4×D7111yescharacteristic
1380C2×D4C23×D7111yescharacteristic
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—5682no—
1386C22×C4—711no—
1387C22×C4—711no—
1388C22×C4—711no—
1389C22×C4—711no—
1390C22×C4—711no—
1391C22×C4—711no—
1392C22×C4—1421no—
1393C22×C4—1421no—
1394C22×C4—1421no—
1395C22×C4—1421no—
1396C22×C4—1421no—
1397C22×C4—1421no—
1398C22×C4—1421no—
1399C22×C4—1421no—
1400C22×C4—1421no—
1401C22×C4—1421no—
1402C22×C4—1422no—
1403C22×C4—1422no—
1404C22×C4—1421no—
1405C22×C4—1421no—
1406C22×C4—1421no—
1407C22×C4—1421no—
1408C22×C4—1421no—
1409C22×C4—1421no—
1410C22×C4C23×D7111yescharacteristic
1411C22×C4C23×D7111yescharacteristic
1412SD16—22no—
1413SD16—1422no—
1414D8—1422no—
1415D8—1422no—
1416M16—22no—
1417M16—714no—
1418M16—1422no—
1419M16—1422no—
1420M16—1422no—
1421M16—1422no—
1422C2×C8—22no—
1423C2×C8—711no—
1424C2×C8—711no—
1425C2×C8—711no—
1426C2×C8—711no—
1427C2×C8—1422no—
1428C2×C8—1422no—
1429C2×C8—1422no—
1430C2×C8—1422no—
1431C2×C8—1422no—
1432C2×C8C23×D7111yescharacteristic
1433C2×C8C23×D7111yescharacteristic
1434C2×C8C23×D7111yescharacteristic
1435C2×C8C23×D7111yescharacteristic
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—711no—
1446C4⋊C4—711no—
1447C4⋊C4—711no—
1448C4⋊C4—711no—
1449C4⋊C4—711no—
1450C4⋊C4—711no—
1451C4⋊C4—711no—
1452C4⋊C4—711no—
1453C4⋊C4—711no—
1454C4⋊C4—711no—
1455C4⋊C4—711no—
1456C4⋊C4—1421no—
1457C4⋊C4—1421no—
1458C4⋊C4—1421no—
1459C4⋊C4—1421no—
1460C4⋊C4—1421no—
1461C4⋊C4—1421no—
1462C4⋊C4—1421no—
1463C4⋊C4—1421no—
1464C4⋊C4—1421no—
1465C4⋊C4—1421no—
1466C4⋊C4—1421no—
1467C4⋊C4—1421no—
1468C4⋊C4—1421no—
1469C4⋊C4—1421no—
1470C4⋊C4—1421no—
1471C4⋊C4—1421no—
1472C4⋊C4—1421no—
1473C4⋊C4—1421no—
1474C4⋊C4—1421no—
1475C4⋊C4—1421no—
1476C4⋊C4—1421no—
1477C4⋊C4—1421no—
1478C4⋊C4D4×D7111yescharacteristic
1479C4⋊C4C23×D7111yescharacteristic
1480C4⋊C4C23×D7111yescharacteristic
1481C4⋊C4C23×D7111yescharacteristic
1482C4⋊C4C23×D7111yescharacteristic
1483C4⋊C4C23×D7111yescharacteristic
1484C4⋊C4C23×D7111yescharacteristic
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—711no—
1492C22⋊C4—711no—
1493C22⋊C4—711no—
1494C22⋊C4—711no—
1495C22⋊C4—711no—
1496C22⋊C4—711no—
1497C22⋊C4—711no—
1498C22⋊C4—711no—
1499C22⋊C4—1421no—
1500C22⋊C4—1421no—
1501C22⋊C4—1421no—
1502C22⋊C4—1421no—
1503C22⋊C4—1421no—
1504C22⋊C4—1421no—
1505C22⋊C4—1421no—
1506C22⋊C4—1421no—
1507C22⋊C4—1421no—
1508C22⋊C4—1421no—
1509C22⋊C4—1421no—
1510C22⋊C4—1421no—
1511C22⋊C4—1421no—
1512C22⋊C4—1421no—
1513C22⋊C4—1421no—
1514C22⋊C4—1421no—
1515C22⋊C4—1421no—
1516C22⋊C4—1421no—
1517C22⋊C4—1421no—
1518C22⋊C4—1421no—
1519C22⋊C4—1421no—
1520C22⋊C4—1421no—
1521C22⋊C4—1421no—
1522C22⋊C4—1421no—
1523C22⋊C4—1421no—
1524C22⋊C4D4×D7111yescharacteristic
1525C22⋊C4D4×D7111yescharacteristic
1526C42—21no—
1527C42—21no—
1528C42—711no—
1529C42—1421no—
1530C42—1421no—
1531C42—1421no—
1532C42—1421no—
1533C42—1421no—
1534C42—1421no—
1535C42—1421no—
1536C42—1421no—
1537C42—1421no—
1538C42C23×D7111yescharacteristic
1539C23—21no—
1540C23—2841no—
1541C23—2842no—
1542C23—5681no—
1543C23—5681no—
1544C23—711no—
1545C23—711no—
1546C23—711no—
1547C23—1422no—
1548C23—1421no—
1549C23—1421no—
1550C23—1422no—
1551C23C2×D4×D7111yescharacteristic
1552C23C2×D4×D7111yescharacteristic
1553Q8—21no—
1554Q8—21no—
1555Q8—81no—
1556Q8—5681no—
1557Q8—5681no—
1558Q8—5681no—
1559Q8—1422no—
1560D4—22no—
1561D4—21no—
1562D4—21no—
1563D4—42no—
1564D4—81no—
1565D4—2841no—
1566D4—2842no—
1567D4—2842no—
1568D4—2842no—
1569D4—2842no—
1570D4—2842no—
1571D4—2841no—
1572D4—5681no—
1573D4—5681no—
1574D4—5681no—
1575D4—5681no—
1576D4—5681no—
1577D4—5681no—
1578D4—5681no—
1579D4—1422no—
1580D4—1422no—
1581D4—1422no—
1582D4—1422no—
1583D4—1421no—
1584D4—1421no—
1585D4—1421no—
1586D4—1421no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—42no—
1599C2×C4—42no—
1600C2×C4—81no—
1601C2×C4—81no—
1602C2×C4—2842no—
1603C2×C4—2842no—
1604C2×C4—5681no—
1605C2×C4—5681no—
1606C2×C4—5681no—
1607C2×C4—5681no—
1608C2×C4—5681no—
1609C2×C4—5681no—
1610C2×C4—5681no—
1611C2×C4—5681no—
1612C2×C4—5681no—
1613C2×C4—5681no—
1614C2×C4—5681no—
1615C2×C4—5681no—
1616C2×C4—5681no—
1617C2×C4—5681no—
1618C2×C4—711no—
1619C2×C4—712no—
1620C2×C4—712no—
1621C2×C4—711no—
1622C2×C4—711no—
1623C2×C4—711no—
1624C2×C4—711no—
1625C2×C4—1422no—
1626C2×C4—1422no—
1627C2×C4—1421no—
1628C2×C4—1421no—
1629C2×C4—1421no—
1630C2×C4—1421no—
1631C2×C4—1421no—
1632C2×C4—1421no—
1633C2×C4—1422no—
1634C2×C4—1421no—
1635C2×C4—1421no—
1636C2×C4—1421no—
1637C2×C4—1421no—
1638C2×C4C2×D4×D7111yescharacteristic
1639C2×C4C2×D4×D7111yescharacteristic
1640C2×C4C2×D4×D7111yescharacteristic
1641C2×C4C2×D4×D7111yescharacteristic
1642C2×C4C24×D7111yescharacteristic
1643C8—21no—
1644C8—21no—
1645C8—21no—
1646C8—712no—
1647C8—1421no—
1648C8—1421no—
1649C8—1421no—
1650C8#41×D7112yes—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—2844no—
1660C22—2841no—
1661C22—2841no—
1662C22—2841no—
1663C22—2841no—
1664C22—2841no—
1665C22—2841no—
1666C22—712no—
1667C22—11362no—
1668C22—1421no—
1669C22—1421no—
1670C22—1421no—
1671C22—1421no—
1672C22—1421no—
1673C22—1421no—
1674C22—1421no—
1675C22—1421no—
1676C22#1798680312yes—
1677C22C22×D4×D7111yescharacteristic
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—2841no—
1690C4—2841no—
1691C4—2841no—
1692C4—2841no—
1693C4—2841no—
1694C4—2841no—
1695C4—712no—
1696C4—1421no—
1697C4—1421no—
1698C4—1421no—
1699C4—1421no—
1700C4C2×#41×D7111yescharacteristic
1701C42−1+4×D7111yescharacteristic
1702C2—22no—
1703C2—41no—
1704C2—81no—
1705C2—2841no—
1706C2—2841no—
1707C2—5681no—
1708C2—5681no—
1709C2—1422no—
1710C2#547×D7111yescharacteristic
1711C2C2×#1798680311yescharacteristic
1712C2#2260312511yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3343C2
socleC22×C71C23×D4
hypercenter#3343D71
hypocenterC71#61270
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3343

Complements

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

NH ≅ G/Ntype
1. #22602064C2semidirect
2. #22602040C2semidirect
3. #22600963C2semidirect
4. #22600961C2semidirect
5. #22600943C2semidirect
6. #22600942C2semidirect
7. #22600839C2semidirect
8. #22600838C2semidirect
9. #22600830C2semidirect
10. #22600829C2semidirect
11. #22600814C2semidirect
12. #22600812C2semidirect
13. #22600778C2semidirect
14. #22600725C2semidirect
15. #22600719C2semidirect
16. #22600685C2semidirect
17. #22600683C2semidirect
18. #22598875C2semidirect
19. #22598319C2semidirect
20. #22598293C2semidirect
21. #22598254C2semidirect
22. #480×D71C2semidirect
23. #22598188C2semidirect
24. #22598170C2semidirect
25. #22598015C2semidirect
26. #22597952C2semidirect
27. #22597171C2semidirect
28. #22597066C2semidirect
29. #22596939C2semidirect
30. C2×#17986040C2semidirect
31. C71×#3343C2semidirect
37. #17986709C22semidirect
38. #17986707C22semidirect
40. #17986702C22semidirect
46. #17986693C22semidirect
47. #17986691C22semidirect
51. #17986653C22semidirect
53. #17986650C22semidirect
78. #17986408C22semidirect
79. #17986407C22semidirect
80. #17986406C22semidirect
81. #17986403C22semidirect
82. #17986402C22semidirect
83. #17986399C22semidirect
84. #17986398C22semidirect
85. #17986338C22semidirect
86. #17986338C22semidirect
87. #17986338C22semidirect
88. #17986337C22semidirect
89. #17986333C22semidirect
90. #17986332C22semidirect
91. #17986326C22semidirect
92. #17986325C22semidirect
93. #17986325C22semidirect
94. #17986325C22semidirect
95. #17986324C22semidirect
96. #17986323C22semidirect
97. #17986322C22semidirect
98. #17986318C22semidirect
99. #17986318C22semidirect
100. #17986316C22semidirect
103. #17986314C22semidirect
104. #17986314C22semidirect
107. #17986312C22semidirect
108. #17986312C22semidirect
112. #17986310C22semidirect
113. #17986306C22semidirect
114. #17986304C22semidirect
115. #17986302C22semidirect
116. #17986301C22semidirect
117. #17986300C22semidirect
118. #17986298C22semidirect
119. #17986296C22semidirect
120. #17986292C22semidirect
121. #17986290C22semidirect
122. #17986287C22semidirect
123. #17986279C22semidirect
124. #17986278C22semidirect
125. #17986278C22semidirect
126. #17986276C22semidirect
128. #17986252C22semidirect
130. #17986251C22semidirect
132. #17986248C22semidirect
134. #17986236C22semidirect
137. #17986233C22semidirect
139. #17986230C22semidirect
140. #17986225C22semidirect
141. #17986112C22semidirect
142. #17986108C22semidirect
143. #17986102C22semidirect
144. SD16×Dic71C22semidirect
145. C4×#11765852C22semidirect
146. #17986081C22semidirect
147. C4×#11765850C22semidirect
148. #17986076C22semidirect
149. #17986075C22semidirect
150. #17986072C22semidirect
151. #17986067C22semidirect
152. #17986067C22semidirect
153. D4×C71⋊C8C22semidirect
154. C8×C22⋊D71C22semidirect
155. #17986041C22semidirect
160. #17986040C22semidirect
161. #17986040C22semidirect
162. #17986040C22semidirect
163. #17986040C22semidirect
164. #17986040C22semidirect
166. #17986038C22semidirect
167. #17986035C22semidirect
170. #17986034C22semidirect
171. C2×#14556061C22semidirect
172. C2×#14556061C22semidirect
175. #107×D71C22semidirect
176. C2×#14556060C22semidirect
177. C2×#14556059C22semidirect
188. #552×C71C22semidirect
190. #501×C71C22semidirect
191. #484×C71C22semidirect
192. #483×C71C22semidirect
193. #482×C71C22semidirect
195. #478×C71C22semidirect
196. #477×C71C22semidirect
197. #468×C71C22semidirect
199. #440×C71C22semidirect
200. #435×C71C22semidirect
201. #428×C71C22semidirect
202. C2×#107×C71C22semidirect
549. #11765848#41semidirect
870. #3343D71semidirect
888. C71#61270semidirect
906. #552C2×D71semidirect
940. #501C2×D71semidirect
951. #484C2×D71semidirect
952. #483C2×D71semidirect
960. #482C2×D71semidirect
984. #478C2×D71semidirect
986. #477C2×D71semidirect
1000. #468C2×D71semidirect
1012. #440C2×D71semidirect
1022. #435C2×D71semidirect
1037. #428C2×D71semidirect
1047. C2×#107C2×D71semidirect

Maximal subgroups

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

subgroupindex
#226020642
#226020402
#226009632
#226009612
#226009432
#226009422
#226008392
#226008382
#226008302
#226008292
#226008142
#226008122
#226007782
#226007252
#226007192
#226006852
#226006832
#225988752
#225983192
#225982932
#225982542
#480×D712
#225981882
#225981702
#225980152
#225979522
#225971712
#225970662
#225969392
C2×#179860402
C71×#33432
#6127071