Finite Group Databasebeta

← #35160726

Subgroups — #35160726

Order 20224.

1700 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777123C211yesmaximal, characteristic
2#23776803C211yesmaximal, characteristic, complemented
3#23774703C211yesmaximal, characteristic, complemented
4#23774691C211yesmaximal, characteristic, complemented
5#23774688C211yesmaximal, characteristic, complemented
6#23774676C211yesmaximal, characteristic, complemented
7#23774660C211yesmaximal, characteristic, complemented
8#23774656C211yesmaximal, characteristic, complemented
9#23774656C211yesmaximal, characteristic, complemented
10#23774652C211yesmaximal, characteristic, complemented
11#23774644C211yesmaximal, characteristic, complemented
12#23774636C211yesmaximal, characteristic, complemented
13#23774598C211yesmaximal, characteristic, complemented
14#23774595C211yesmaximal, characteristic, complemented
15#23774582C211yesmaximal, characteristic, complemented
16#23774538C211yesmaximal, characteristic, complemented
17#23774534C211yesmaximal, characteristic, complemented
18#23773937C211yesmaximal, characteristic, complemented
19#23773929C211yesmaximal, characteristic, complemented
20#23773753C211yesmaximal, characteristic, complemented
21#23773753C211yesmaximal, characteristic, complemented
22#23773339C211yesmaximal, characteristic, complemented
23#23773332C211yesmaximal, characteristic, complemented
24#23773318C211yesmaximal, characteristic, complemented
25#482×D79C211yesmaximal, characteristic, complemented
26#23773259C211yesmaximal, characteristic, complemented
27#23773248C211yesmaximal, characteristic, complemented
28#23773226C211yesmaximal, characteristic, complemented
29#23773224C211yesmaximal, characteristic, complemented
30#23772053C211yesmaximal, characteristic, complemented
31C79×#3233C211yesmaximal, characteristic, complemented
32#19099276—21no—
33#19099264—21no—
34#19099262—21no—
35#19099238—21no—
36#19099237—21no—
37#19099211—21no—
38#19099208—21no—
39#19099205—21no—
40#19099193C2211yescharacteristic
41#19099193C2211yescharacteristic
42#19099193C2211yescharacteristic
43#19099193C2211yescharacteristic, complemented
44#19099193C2211yescharacteristic, complemented
45#19099192—21no—
46#19099192—21no—
47#19099190C2211yescharacteristic
48#19099190C2211yescharacteristic
49#19099190C2211yescharacteristic, complemented
50#19099190C2211yescharacteristic, complemented
51#19099188—21no—
52#19099188—21no—
53#19099185C2211yescharacteristic
54#19099182C2211yescharacteristic
55#19099169C2211yescharacteristic
56#19099164C2211yescharacteristic
57#19099131C2211yescharacteristic
58#19099120C2211yescharacteristic, complemented
59#19099117—21no—
60#19099117—21no—
61#19099117—21no—
62#19099117—21no—
63#19099116C2211yescharacteristic, complemented
64#19099116C2211yescharacteristic, complemented
65#19099113C2211yescharacteristic
66#19099108C2211yescharacteristic
67#19099099C2211yescharacteristic
68#19099076C2211yescharacteristic
69#121×D79C2211yescharacteristic
70#19099045C2211yescharacteristic
71#19099035C2211yescharacteristic
72C2×#14579118C2211yescharacteristic
73#117×D79C2211yescharacteristic
74#117×D79C2211yescharacteristic
75#19098973C2211yescharacteristic, complemented
76#19098973C2211yescharacteristic, complemented
77#19098973C2211yescharacteristic, complemented
78#19098973C2211yescharacteristic, complemented
79#19098971C2211yescharacteristic, complemented
80#19098971C2211yescharacteristic, complemented
81#19098970C2211yescharacteristic, complemented
82#19098970C2211yescharacteristic, complemented
83#19098968C2211yescharacteristic, complemented
84#19098967C2211yescharacteristic, complemented
85#19098964C2211yescharacteristic, complemented
86#19098963C2211yescharacteristic, complemented
87#19098961C2211yescharacteristic, complemented
88#19098960C2211yescharacteristic, complemented
89#19098929C2211yescharacteristic, complemented
90#19098929C2211yescharacteristic, complemented
91#19098926C2211yescharacteristic, complemented
92#19098926C2211yescharacteristic, complemented
93#19098924C2211yescharacteristic, complemented
94#19098924C2211yescharacteristic, complemented
95#19098922C2211yescharacteristic, complemented
96#19098922C2211yescharacteristic, complemented
97#19098919C2211yescharacteristic, complemented
98#19098919C2211yescharacteristic, complemented
99#19098910C2211yescharacteristic, complemented
100#19098910C2211yescharacteristic, complemented
101#19098908C2211yescharacteristic, complemented
102#19098908C2211yescharacteristic, complemented
103#19098903C2211yescharacteristic, complemented
104#19098902C2211yescharacteristic, complemented
105#19098901C2211yescharacteristic, complemented
106#19098901C2211yescharacteristic, complemented
107#19098897C2211yescharacteristic, complemented
108#19098892C2211yescharacteristic, complemented
109#19098890C2211yescharacteristic
110#19098890C2211yescharacteristic, complemented
111#19098889C2211yescharacteristic
112#19098889C2211yescharacteristic, complemented
113#19098888C2211yescharacteristic
114#19098888C2211yescharacteristic
115#19098888C2211yescharacteristic, complemented
116#19098888C2211yescharacteristic, complemented
117#19098887C2211yescharacteristic
118#19098887C2211yescharacteristic
119#19098887C2211yescharacteristic, complemented
120#19098887C2211yescharacteristic, complemented
121#19098886C2211yescharacteristic
122#19098885C2211yescharacteristic
123#19098884C2211yescharacteristic
124#19098884C2211yescharacteristic
125#19098883C2211yescharacteristic
126#19098883C2211yescharacteristic, complemented
127#19098880C2211yescharacteristic
128#19098878C2211yescharacteristic
129#19098878C2211yescharacteristic, complemented
130#19098875C2211yescharacteristic
131#19098872C2211yescharacteristic, complemented
132#19098870C2211yescharacteristic, complemented
133#19098870C2211yescharacteristic, complemented
134#19098868C2211yescharacteristic, complemented
135#19098866C2211yescharacteristic, complemented
136#19098866C2211yescharacteristic, complemented
137#19098865C2211yescharacteristic, complemented
138#19098864C2211yescharacteristic, complemented
139#19098864C2211yescharacteristic, complemented
140#19098864C2211yescharacteristic, complemented
141#19098864C2211yescharacteristic, complemented
142#19098863C2211yescharacteristic, complemented
143#19098863C2211yescharacteristic, complemented
144#19098862C2211yescharacteristic, complemented
145#19098862C2211yescharacteristic, complemented
146#19098861C2211yescharacteristic, complemented
147#19098856C2211yescharacteristic, complemented
148#19098852C2211yescharacteristic, complemented
149#19098852C2211yescharacteristic, complemented
150#19098851C2211yescharacteristic, complemented
151#19098850C2211yescharacteristic, complemented
152#19098850C2211yescharacteristic, complemented
153#19098846C2211yescharacteristic, complemented
154#19098842C2211yescharacteristic, complemented
155#19098842C2211yescharacteristic, complemented
156#19098841C2211yescharacteristic, complemented
157#19098840C2211yescharacteristic, complemented
158#19098840C2211yescharacteristic, complemented
159#19098623C2211yescharacteristic, complemented
160#19098623C2211yescharacteristic, complemented
161#19098622C2211yescharacteristic, complemented
162#19098622C2211yescharacteristic, complemented
163#19098620C2211yescharacteristic, complemented
164#19098617C2211yescharacteristic, complemented
165#19098613C2211yescharacteristic, complemented
166#19098604C2211yescharacteristic
167#19098604C2211yescharacteristic
168#19098602C2211yescharacteristic
169#19098602C2211yescharacteristic
170#19098600C2211yescharacteristic
171#19098598C2211yescharacteristic
172#107×D79C2211yescharacteristic
173#106×D79C2211yescharacteristic
174#19098588C2211yescharacteristic
175#19098588C2211yescharacteristic
176#19098566C2211yescharacteristic
177#19098566C2211yescharacteristic
178#19098563C2211yescharacteristic
179#19098563C2211yescharacteristic
180#19098558C2211yescharacteristic
181#19098558C2211yescharacteristic
182#102×D79C2211yescharacteristic
183#102×D79C2211yescharacteristic
184#19098525C2211yescharacteristic
185C22⋊C8×D79C2211yescharacteristic
186#19098517C2211yescharacteristic
187#19098517C2211yescharacteristic
188#533×C79C2211yescharacteristic, complemented
189#529×C79C2211yescharacteristic
190#499×C79C2211yescharacteristic, complemented
191#499×C79C2211yescharacteristic, complemented
192#488×C79C2211yescharacteristic, complemented
193#488×C79C2211yescharacteristic, complemented
194#485×C79C2211yescharacteristic, complemented
195#485×C79C2211yescharacteristic, complemented
196#482×C79C2211yescharacteristic
197#482×C79C2211yescharacteristic
198#477×C79C2211yescharacteristic, complemented
199#476×C79C2211yescharacteristic, complemented
200#475×C79C2211yescharacteristic, complemented
201#474×C79C2211yescharacteristic, complemented
202#431×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929624—21no—
205C2×#11929623—21no—
206C2×D4×D79—21no—
207C2×D4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C2×#11929607C2311yescharacteristic
210C2×#11929607C2311yescharacteristic
211C2×C8×D79C2311yescharacteristic
212C2×C8×D79C2311yescharacteristic
213#14579161C2311yescharacteristic
214#14579161C2311yescharacteristic
215#14579161C2311yescharacteristic
216#14579160—21no—
217#14579160—21no—
218#14579160—21no—
219#14579160—21no—
220#14579160—21no—
221#14579160C2311yescharacteristic
222#14579160C2311yescharacteristic
223#14579160C2311yescharacteristic
224#14579160C2311yescharacteristic
225#14579160C2311yescharacteristic
226#14579159—21no—
227#14579159—21no—
228#14579159—21no—
229#14579159—21no—
230#14579158C2311yescharacteristic
231#14579157C2311yescharacteristic
232#14579156—21no—
233#14579155—21no—
234#14579154—21no—
235#14579153C2311yescharacteristic
236#14579153C2311yescharacteristic
237#14579152C2311yescharacteristic
238#14579152C2311yescharacteristic
239#14579152C2311yescharacteristic
240#14579152C2311yescharacteristic
241#14579152C2311yescharacteristic
242#14579151—21no—
243#14579151—21no—
244#14579151—21no—
245#14579151—21no—
246#14579151—21no—
247#14579151—21no—
248#14579151—21no—
249#14579151—21no—
250#14579151—21no—
251#14579150C2311yescharacteristic
252#14579149—21no—
253#14579149—21no—
254#14579147—21no—
255#14579147—21no—
256#14579146—21no—
257#14579146—21no—
258#14579146—21no—
259#14579146—21no—
260#14579145—21no—
261#14579145—21no—
262#14579144—21no—
263#14579143—21no—
264#14579141—21no—
265#14579141—21no—
266#14579141—21no—
267#14579141—21no—
268#14579141—21no—
269#14579140—21no—
270#14579140—21no—
271#14579139—21no—
272#14579139—21no—
273#14579139—21no—
274#14579139—21no—
275#14579139—21no—
276#14579139—21no—
277#14579139—21no—
278#14579139—21no—
279#14579139—21no—
280#14579139—21no—
281#14579138—21no—
282#14579138—21no—
283#14579138—21no—
284#14579138—21no—
285#14579138—21no—
286#14579137—21no—
287#14579137—21no—
288#14579137—21no—
289#14579137—21no—
290#14579137C2311yescharacteristic
291#14579136—21no—
292#14579136—21no—
293#14579136C2311yescharacteristic
294#14579136C2311yescharacteristic
295#14579135—21no—
296#14579135—21no—
297#14579135C2311yescharacteristic
298#14579135C2311yescharacteristic
299#14579134—21no—
300#14579134—21no—
301#14579134—21no—
302#14579134—21no—
303#14579133—21no—
304#14579133—21no—
305#14579132C2311yescharacteristic
306#14579131—21no—
307#14579131—21no—
308#14579131—21no—
309Q8×Dic79C2311yescharacteristic
310C4×Dic158—21no—
311C4×Dic158—21no—
312C4×Dic158—21no—
313C4×Dic158—21no—
314C4×Dic158—21no—
315C4×Dic158—21no—
316C4×D316—21no—
317C4×D316—21no—
318C4×D316C2311yescharacteristic
319C4×D316C2311yescharacteristic
320D4×Dic79C2311yescharacteristic
321#14579123—21no—
322#14579123—21no—
323#14579123C2311yescharacteristic
324#14579123C2311yescharacteristic
325C4×C22⋊D79—21no—
326(C22⋊D79)⋊C4—21no—
327(C22⋊D79)⋊C4—21no—
328(C22⋊D79)⋊C4—21no—
329(C22⋊D79)⋊C4—21no—
330#14579120C2311yescharacteristic
331#14579120C2311yescharacteristic
332#14579119—21no—
333#14579119C2311yescharacteristic
334#14579119C2311yescharacteristic
335#14579119C2311yescharacteristic
336#14579119C2311yescharacteristic
337#14579119C2311yescharacteristic
338#14579118—21no—
339#14579118—21no—
340#14579118—21no—
341#14579118D411yescharacteristic
342#14579118D411yescharacteristic
343#14579118D411yescharacteristic
344#14579118D411yescharacteristic
345#14579118C2311yescharacteristic
346#14579118C2311yescharacteristic
347#14579118C2311yescharacteristic
348#14579118C2311yescharacteristic
349#14579117—21no—
350#14579117—21no—
351C2×Dic79⋊C4D411yescharacteristic
352C2×Dic79⋊C4D411yescharacteristic
353C4⋊C4×D79—21no—
354C4⋊C4×D79C2311yescharacteristic
355C4⋊C4×D79C2311yescharacteristic
356C4⋊C4×D79C2311yescharacteristic
357C4⋊C4×D79C2311yescharacteristic
358C4⋊C4×D79C2311yescharacteristic
359C2×(C2×D79)⋊C4—21no—
360C2×(C2×D79)⋊C4D411yescharacteristic
361C2×(C2×D79)⋊C4D411yescharacteristic
362C22⋊C4×D79—21no—
363C22⋊C4×D79—21no—
364C22⋊C4×D79—21no—
365C22⋊C4×D79—21no—
366C2×C4×Dic79C2311yescharacteristic
367C42×D79—21no—
368C42×D79—21no—
369#14579095C2311yescharacteristic
370#14579095C2311yescharacteristic
371#14579095C2311yescharacteristic
372#14579095C2311yescharacteristic
373#14579094C2311yescharacteristic
374#14579094C2311yescharacteristic
375#14579094C2311yescharacteristic
376#14579094C2311yescharacteristic
377#14579094C2311yescharacteristic
378#14579094C2311yescharacteristic
379#14579094C2311yescharacteristic
380#14579094C2311yescharacteristic
381#14579093C2311yescharacteristic
382#14579093C2311yescharacteristic
383#14579093C2311yescharacteristic
384#14579093C2311yescharacteristic
385#14579092C2311yescharacteristic
386#14579092C2311yescharacteristic
387#14579092C2311yescharacteristic
388#14579092C2311yescharacteristic
389#14579092C2311yescharacteristic
390#14579092C2311yescharacteristic
391#14579092C2311yescharacteristic
392#14579092C2311yescharacteristic
393C4⋊(C79⋊C8)C2311yescharacteristic
394C4⋊(C79⋊C8)C2311yescharacteristic
395Dic79⋊C8C2311yescharacteristic
396Dic79⋊C8C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399#14579085C2311yescharacteristic
400#14579085C2311yescharacteristic
401#14579085C2311yescharacteristic
402#14579085C2311yescharacteristic
403#14579083C2311yescharacteristic
404#14579083C2311yescharacteristic
405#14579083C2311yescharacteristic
406#14579083C2311yescharacteristic
407#14579083C2311yescharacteristic
408#14579083C2311yescharacteristic
409#14579083C2311yescharacteristic
410#14579083C2311yescharacteristic
411#14579082C2311yescharacteristic
412#14579082C2311yescharacteristic
413#14579082C2311yescharacteristic
414#14579082C2311yescharacteristic
415#14579081C2311yescharacteristic
416#14579081C2311yescharacteristic
417#14579081C2311yescharacteristic
418#14579081C2311yescharacteristic
419#14579081C2311yescharacteristic
420#14579081C2311yescharacteristic
421#14579081C2311yescharacteristic
422#14579081C2311yescharacteristic
423C22⋊(C79⋊C8)C2311yescharacteristic
424C22⋊(C79⋊C8)C2311yescharacteristic
425(C2×D79)⋊C8C2311yescharacteristic
426(C2×D79)⋊C8C2311yescharacteristic
427(C2×D79)⋊C8C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429#14579072C2311yescharacteristic
430#14579072C2311yescharacteristic
431#14579071C2311yescharacteristic
432#14579071C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C4⋊Q8×C79C2311yescharacteristic
436C4⋊Q8×C79C2311yescharacteristic
437#126×C79—21no—
438#125×C79C2311yescharacteristic
439#125×C79C2311yescharacteristic
440#125×C79C2311yescharacteristic
441#124×C79C2311yescharacteristic
442#123×C79—21no—
443C22⋊Q8×C79—21no—
444C22⋊Q8×C79—21no—
445C22⋊Q8×C79C2311yescharacteristic
446#121×C79C2311yescharacteristic
447C4×Q8×C79—21no—
448C4×Q8×C79—21no—
449C4×Q8×C79C2311yescharacteristic
450C4×D4×C79—21no—
451C4×D4×C79C2311yescharacteristic
452#117×C79—21no—
453#117×C79C2311yescharacteristic
454#117×C79C2311yescharacteristic
455C2×C42×C79C2311yescharacteristic
456#107×C79C2311yescharacteristic
457#107×C79C2311yescharacteristic
458#107×C79C2311yescharacteristic
459#107×C79C2311yescharacteristic
460#106×C79C2311yescharacteristic
461#106×C79C2311yescharacteristic
462#106×C79C2311yescharacteristic
463#106×C79C2311yescharacteristic
464C4⋊C8×C79C2311yescharacteristic
465C4⋊C8×C79C2311yescharacteristic
466#103×C79C2311yescharacteristic
467#103×C79C2311yescharacteristic
468#103×C79C2311yescharacteristic
469#103×C79C2311yescharacteristic
470#102×C79C2311yescharacteristic
471#102×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474C22⋊C8×C79C2311yescharacteristic
475C22⋊C8×C79C2311yescharacteristic
476C4×C8×C79C2311yescharacteristic
477C4×C8×C79C2311yescharacteristic
478C23×D79—21no—
479C23×D79C2×D411yescharacteristic
480#11929625—22no—
481#11929625—22no—
482#11929624—82no—
483#11929623—82no—
484C2×Dic158—21no—
485C2×Dic158—21no—
486C2×Dic158—21no—
487C2×Dic158—21no—
488C2×Dic158—21no—
489C2×Dic158—21no—
490C2×Dic158—21no—
491C2×Dic158—21no—
492C2×D316—21no—
493C2×D316—21no—
494C2×D316—21no—
495C2×D316—21no—
496C2×D316—21no—
497C2×D316C2411yescharacteristic
498C2×D316C2411yescharacteristic
499C2×C22⋊D79—21no—
500C2×C22⋊D79—21no—
501C2×C22⋊D79—21no—
502C2×C22⋊D79—21no—
503C2×C22⋊D79—21no—
504C2×C22⋊D79—21no—
505D4×D79—22no—
506D4×D79—22no—
507D4×D79—82no—
508C22×Dic79—21no—
509C22×Dic79C2×D411yescharacteristic
510C22×Dic79C2×D411yescharacteristic
511C22×Dic79C2×D411yescharacteristic
512C2×C4×D79—22no—
513C2×C4×D79—22no—
514C2×C4×D79—21no—
515C2×C4×D79—21no—
516C2×C4×D79—21no—
517C2×C4×D79—21no—
518C2×C4×D79—21no—
519C2×C4×D79—21no—
520C2×C4×D79—21no—
521C2×C4×D79—21no—
522C2×C4×D79—21no—
523C2×C4×D79—21no—
524C2×C4×D79C2×D411yescharacteristic
525C2×C4×D79C2×D411yescharacteristic
526C2×C4×D79C2411yescharacteristic
527C2×C4×D79C2411yescharacteristic
528#11929607—22no—
529#11929607—22no—
530C2×C79⋊C8C2411yescharacteristic
531C2×C79⋊C8C2411yescharacteristic
532C2×C79⋊C8C2411yescharacteristic
533C2×C79⋊C8C2411yescharacteristic
534C8×D79—22no—
535C8×D79—22no—
536C4⋊Dic79—21no—
537C4⋊Dic79—21no—
538C4⋊Dic79—21no—
539C4⋊Dic79—21no—
540C4⋊Dic79—21no—
541C4⋊Dic79—21no—
542C4⋊Dic79—21no—
543C4⋊Dic79—21no—
544C4⋊Dic79—21no—
545C4⋊Dic79C2411yescharacteristic
546C4⋊Dic79C2411yescharacteristic
547C4⋊Dic79C2411yescharacteristic
548C4⋊Dic79C2411yescharacteristic
549C4⋊Dic79C2411yescharacteristic
550C4⋊Dic79C2411yescharacteristic
551Dic79⋊C4—21no—
552Dic79⋊C4—21no—
553Dic79⋊C4—21no—
554Dic79⋊C4—21no—
555Dic79⋊C4—21no—
556Dic79⋊C4—21no—
557Dic79⋊C4—21no—
558Dic79⋊C4—21no—
559Dic79⋊C4—21no—
560Dic79⋊C4—21no—
561Dic79⋊C4—21no—
562Dic79⋊C4—21no—
563Dic79⋊C4—21no—
564Dic79⋊C4—21no—
565Dic79⋊C4—21no—
566Dic79⋊C4—21no—
567Dic79⋊C4—21no—
568Dic79⋊C4—21no—
569Dic79⋊C4—21no—
570Dic79⋊C4—21no—
571Dic79⋊C4C2×D411yescharacteristic
572Dic79⋊C4C2×D411yescharacteristic
573Dic79⋊C4C2×D411yescharacteristic
574Dic79⋊C4C2×D411yescharacteristic
575Dic79⋊C4C2×D411yescharacteristic
576Dic79⋊C4C2×D411yescharacteristic
577Dic79⋊C4C2×D411yescharacteristic
578Dic79⋊C4C2×D411yescharacteristic
579C22⋊Dic79—21no—
580C22⋊Dic79—21no—
581C22⋊Dic79—21no—
582C22⋊Dic79—21no—
583(C2×D79)⋊C4—21no—
584(C2×D79)⋊C4—21no—
585(C2×D79)⋊C4—21no—
586(C2×D79)⋊C4—21no—
587(C2×D79)⋊C4—21no—
588(C2×D79)⋊C4—21no—
589(C2×D79)⋊C4—21no—
590(C2×D79)⋊C4—21no—
591(C2×D79)⋊C4—21no—
592(C2×D79)⋊C4—21no—
593(C2×D79)⋊C4—21no—
594(C2×D79)⋊C4—21no—
595(C2×D79)⋊C4—21no—
596(C2×D79)⋊C4—21no—
597(C2×D79)⋊C4—21no—
598(C2×D79)⋊C4—21no—
599(C2×D79)⋊C4C2×D411yescharacteristic
600(C2×D79)⋊C4C2×D411yescharacteristic
601(C2×D79)⋊C4C2×D411yescharacteristic
602(C2×D79)⋊C4C2×D411yescharacteristic
603(C2×D79)⋊C4C2×D411yescharacteristic
604(C2×D79)⋊C4C2×D411yescharacteristic
605(C2×D79)⋊C4C2×D411yescharacteristic
606(C2×D79)⋊C4C2×D411yescharacteristic
607C4×Dic79—21no—
608C4×Dic79—21no—
609C4×Dic79—21no—
610C4×Dic79—21no—
611C4×Dic79—21no—
612C4×Dic79—21no—
613C4×Dic79—21no—
614C4×Dic79—21no—
615C4×Dic79C2×D411yescharacteristic
616C4×Dic79C2×D411yescharacteristic
617C4×Dic79C2411yescharacteristic
618C4×Dic79C2411yescharacteristic
619C2×Q8×C79—21no—
620C2×Q8×C79—21no—
621C2×Q8×C79C2411yescharacteristic
622C2×D4×C79—21no—
623C2×D4×C79C2411yescharacteristic
624C22×C4×C79—21no—
625C22×C4×C79C2×D411yescharacteristic
626C22×C4×C79C2×D411yescharacteristic
627C22×C4×C79C2411yescharacteristic
628C2×C8×C79C2411yescharacteristic
629C2×C8×C79C2411yescharacteristic
630C2×C8×C79C2411yescharacteristic
631C2×C8×C79C2411yescharacteristic
632C4⋊C4×C79—21no—
633C4⋊C4×C79—21no—
634C4⋊C4×C79—21no—
635C4⋊C4×C79—21no—
636C4⋊C4×C79—21no—
637C4⋊C4×C79—21no—
638C4⋊C4×C79—21no—
639C4⋊C4×C79—21no—
640C4⋊C4×C79—21no—
641C4⋊C4×C79—21no—
642C4⋊C4×C79C2411yescharacteristic
643C4⋊C4×C79C2411yescharacteristic
644C4⋊C4×C79C2411yescharacteristic
645C4⋊C4×C79C2411yescharacteristic
646C4⋊C4×C79C2411yescharacteristic
647C4⋊C4×C79C2411yescharacteristic
648C22⋊C4×C79—21no—
649C22⋊C4×C79—21no—
650C22⋊C4×C79—21no—
651C22⋊C4×C79—21no—
652C22⋊C4×C79—21no—
653C22⋊C4×C79—21no—
654C22⋊C4×C79—21no—
655C42×C79—21no—
656C42×C79—21no—
657C42×C79—21no—
658C42×C79C2×D411yescharacteristic
659C42×C79C2×D411yescharacteristic
660C42×C79C2411yescharacteristic
661C42×C79C2411yescharacteristic
662C23×C79—21no—
663C23×C79C22×D411yescharacteristic
664C22×D79—22no—
665C22×D79—21no—
666C22×D79—21no—
667C22×D79—41no—
668C22×D79—41no—
669C22×D79—42no—
670C22×D79—81no—
671C22×D79—81no—
672C22×D79C22×D411yescharacteristic
673C22×D79C22×D411yescharacteristic
674Q8×C79—21no—
675Q8×C79—21no—
676Q8×C79—81no—
677Q8×C79—81no—
678D4×C79—21no—
679D4×C79—21no—
680D4×C79—42no—
681C2×C4×C79—21no—
682C2×C4×C79—21no—
683C2×C4×C79—21no—
684C2×C4×C79—21no—
685C2×C4×C79—21no—
686C2×C4×C79—21no—
687C2×C4×C79—21no—
688C2×C4×C79—21no—
689C2×C4×C79—21no—
690C2×C4×C79—41no—
691C2×C4×C79—41no—
692C2×C4×C79—81no—
693C2×C4×C79C22×D411yescharacteristic
694C2×C4×C79C22×D411yescharacteristic
695C2×C4×C79C22×D411yescharacteristic
696C2×C4×C79C22×D411yescharacteristic
697C2×C4×C79C22×D411yescharacteristic
698C2×C4×C79C2511yescharacteristic
699C22⋊D79—42no—
700C22⋊D79—42no—
701C22⋊D79—42no—
702C22⋊D79—81no—
703C22⋊D79—81no—
704C22⋊D79—81no—
705C2×Dic79—22no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—41no—
713C2×Dic79—41no—
714C2×Dic79—81no—
715C2×Dic79C22×D411yescharacteristic
716C2×Dic79C22×D411yescharacteristic
717C2×Dic79C22×D411yescharacteristic
718C2×Dic79C22×D411yescharacteristic
719C2×Dic79C22×D411yescharacteristic
720C2×Dic79C22×D411yescharacteristic
721D316—21no—
722D316—21no—
723D316—21no—
724D316—21no—
725D316—42no—
726D316—81no—
727D316—81no—
728D316—81no—
729D316—81no—
730C4×D79—22no—
731C4×D79—21no—
732C4×D79—21no—
733C4×D79—22no—
734C4×D79—42no—
735C4×D79—81no—
736C4×D79—81no—
737C4×D79—81no—
738C4×D79—81no—
739C4×D79—81no—
740C4×D79—81no—
741C4×D79—81no—
742C4×D79—81no—
743C4×D79—81no—
744C4×D792−1+412yes—
745C4×D792−1+412yes—
746Dic158—81no—
747Dic158—81no—
748Dic158—81no—
749Dic158—81no—
750Dic158—81no—
751Dic158—81no—
752Dic158—81no—
753Dic158—81no—
754C8×C79—21no—
755C8×C79—21no—
756C8×C79—21no—
757C8×C79—21no—
758C79⋊C8—21no—
759C79⋊C8—21no—
760C79⋊C8—21no—
761C79⋊C8—21no—
762C22×C79—21no—
763C22×C79—21no—
764C22×C79—21no—
765C22×C79—41no—
766C22×C79—41no—
767C22×C79—41no—
768C22×C79C23×D411yescharacteristic
769C2×D79—21no—
770C2×D79—21no—
771C2×D79—21no—
772C2×D79—21no—
773C2×D79—21no—
774C2×D79—41no—
775C2×D79—41no—
776C2×D79—41no—
777C2×D79—41no—
778C2×D79—41no—
779C2×D79—41no—
780C2×D79—82no—
781C2×D79—162no—
782C2×D79#53612yes—
783C4×C79—21no—
784C4×C79—21no—
785C4×C79—21no—
786C4×C79—21no—
787C4×C79—21no—
788C4×C79—41no—
789C4×C79—41no—
790C4×C79—41no—
791C4×C79—41no—
792C4×C79—41no—
793C4×C79—41no—
794C4×C79—41no—
795C4×C79C2×2−1+411yescharacteristic
796C4×C79C2×2−1+411yescharacteristic
797Dic79—21no—
798Dic79—21no—
799Dic79—21no—
800Dic79—21no—
801Dic79—21no—
802Dic79—41no—
803Dic79—41no—
804Dic79—41no—
805Dic79—41no—
806Dic79—41no—
807Dic79—41no—
808Dic79#53612yes—
809#60875—791nomaximal, Sylow
810C2×C79—41no—
811C2×C79—81no—
812C2×C79C2×#53611yescharacteristic
813C2×C79#358411yescharacteristic
814C2×C79#358511yescharacteristic
815D79—22no—
816D79—41no—
817D79—81no—
818D79—81no—
819#3494—791no—
820#3458—791no—
821#3244—791no—
822#3244—791no—
823#3243—791no—
824#3243—791no—
825#3241—791no—
826#3241—791no—
827#3241—791no—
828#3241—791no—
829#3240—791no—
830#3240—791no—
831#3235—791no—
832#3235—791no—
833#3233—791no—
834#3233D7911yescharacteristic, complemented
835#3228—791no—
836#3228—791no—
837#3164—791no—
838#3163—791no—
839#3136—791no—
840#3136—791no—
841#3094—791no—
842#3093—791no—
843#3091—791no—
844C2×#482—791no—
845#3084—791no—
846#3083—791no—
847#3081—791no—
848#3081—791no—
849#2924—791no—
850C79#6087511yescharacteristic, complemented, Sylow
851#555—1581no—
852#553—1581no—
853#553—1581no—
854#551—1581no—
855#551—1581no—
856#547—1581no—
857#546—1581no—
858#546—1581no—
859#544—791no—
860#544—791no—
861#544—791no—
862#544—791no—
863#544—791no—
864#544—791no—
865#544—791no—
866#544—791no—
867#544—791no—
868#544—1581no—
869#544—1581no—
870#543—1581no—
871#543—1581no—
872#542—791no—
873#542—791no—
874#540—791no—
875#540—791no—
876#535—791no—
877#533—791no—
878#533—791no—
879#533—791no—
880#533—1581no—
881#533—1581no—
882#533—1581no—
883#533—1581no—
884#533C2×D7911yescharacteristic, complemented
885#532—791no—
886#532—791no—
887#529—791no—
888#529C2×D7911yescharacteristic
889#525—791no—
890C2×#121—791no—
891#520—791no—
892#518—791no—
893C2×#117—791no—
894C2×#117—791no—
895C2×#117—791no—
896#501—791no—
897#501—791no—
898#501—791no—
899#501—791no—
900#501—791no—
901#501—791no—
902#501—791no—
903#501—791no—
904#500—791no—
905#500—791no—
906#499—791no—
907#499—791no—
908#499C2×D7911yescharacteristic, complemented
909#499C2×D7911yescharacteristic, complemented
910#498—791no—
911#498—791no—
912#490—791no—
913#490—791no—
914#490—791no—
915#490—791no—
916#489—791no—
917#489—791no—
918#489—791no—
919#489—791no—
920#488—791no—
921#488—791no—
922#488C2×D7911yescharacteristic, complemented
923#488C2×D7911yescharacteristic, complemented
924#486—791no—
925#486—791no—
926#486—791no—
927#486—791no—
928#485—791no—
929#485—791no—
930#485—791no—
931#485—791no—
932#485C2×D7911yescharacteristic, complemented
933#485C2×D7911yescharacteristic, complemented
934#484—791no—
935#483—791no—
936#482—791no—
937#482—791no—
938#482—791no—
939#482—791no—
940#482—791no—
941#482—791no—
942#482—791no—
943#482—791no—
944#482—791no—
945#482—791no—
946#482—791no—
947#482—791no—
948#482—791no—
949#482—791no—
950#482—791no—
951#482—791no—
952#482C2×D7911yescharacteristic
953#482C2×D7911yescharacteristic
954#481—791no—
955#481—791no—
956#481—791no—
957#480—791no—
958#480—791no—
959#480—791no—
960#479—791no—
961#479—791no—
962#479—791no—
963#479—791no—
964#478—791no—
965#478—791no—
966#478—791no—
967#478—791no—
968#478—791no—
969#478—791no—
970#478—791no—
971#478—791no—
972#478—791no—
973#478—791no—
974#478—791no—
975#478—791no—
976#477—791no—
977#477C2×D7911yescharacteristic, complemented
978#476—791no—
979#476—791no—
980#476—791no—
981#476—791no—
982#476—791no—
983#476C2×D7911yescharacteristic, complemented
984#475—791no—
985#475C2×D7911yescharacteristic, complemented
986#474—791no—
987#474—791no—
988#474—791no—
989#474—791no—
990#474—791no—
991#474C2×D7911yescharacteristic, complemented
992#433—791no—
993#433—791no—
994#433—791no—
995#433—791no—
996#432—791no—
997#432—791no—
998#431—791no—
999#431C2×D7911yescharacteristic, complemented
1000#428—791no—
1001#428—791no—
1002#428—791no—
1003#428—791no—
1004#427—791no—
1005#427—791no—
1006C2×#107—791no—
1007C2×#106—791no—
1008#424—791no—
1009#424—791no—
1010#418—791no—
1011#418—791no—
1012#417—791no—
1013#417—791no—
1014#416—791no—
1015#416—791no—
1016C2×#102—791no—
1017C2×#102—791no—
1018#407—791no—
1019C2×C22⋊C8—791no—
1020#405—791no—
1021#405—791no—
1022C2×#41—791no—
1023C2×#41—1581no—
1024C2×#41—1581no—
1025C22×D4—791no—
1026C22×D4—1581no—
1027C23×C4—791no—
1028C2×M16—791no—
1029C2×M16—791no—
1030C22×C8—791no—
1031C22×C8—791no—
1032C4⋊Q8—791no—
1033C4⋊Q8—791no—
1034C4⋊Q8—791no—
1035C4⋊Q8—791no—
1036C4⋊Q8—791no—
1037C4⋊Q8—791no—
1038C4⋊Q8—791no—
1039C4⋊Q8—791no—
1040C4⋊Q8—1581no—
1041C4⋊Q8—1581no—
1042C4⋊Q8—1581no—
1043C4⋊Q8—1581no—
1044C4⋊Q8—1581no—
1045C4⋊Q8—1581no—
1046C4⋊Q8—1581no—
1047C4⋊Q8—1581no—
1048C4⋊Q8—1581no—
1049C4⋊Q8C22×D7911yescharacteristic
1050C4⋊Q8C22×D7911yescharacteristic
1051#127—791no—
1052#127—791no—
1053#126—21no—
1054#126—1581no—
1055#126—1581no—
1056#126—1581no—
1057#125—791no—
1058#125—791no—
1059#125—791no—
1060#125—791no—
1061#125—791no—
1062#125—791no—
1063#125—791no—
1064#125—1581no—
1065#125—1581no—
1066#125—1581no—
1067#125—1581no—
1068#125—1581no—
1069#125—1581no—
1070#125—1581no—
1071#125—1581no—
1072#125—1581no—
1073#125C22×D7911yescharacteristic
1074#125C22×D7911yescharacteristic
1075#125C22×D7911yescharacteristic
1076#124—791no—
1077#124—1581no—
1078#124—1581no—
1079#124—1581no—
1080#124—1581no—
1081#124C22×D7911yescharacteristic
1082#123—21no—
1083#123—1581no—
1084#123—1581no—
1085#123—1581no—
1086#123—1581no—
1087#123—1581no—
1088#123—1581no—
1089#123—1581no—
1090#123—1581no—
1091C22⋊Q8—21no—
1092C22⋊Q8—21no—
1093C22⋊Q8—791no—
1094C22⋊Q8—1581no—
1095C22⋊Q8—1581no—
1096C22⋊Q8—1581no—
1097C22⋊Q8—1581no—
1098C22⋊Q8—1581no—
1099C22⋊Q8—1581no—
1100C22⋊Q8—1581no—
1101C22⋊Q8—1581no—
1102C22⋊Q8—1581no—
1103C22⋊Q8—1581no—
1104C22⋊Q8—1581no—
1105C22⋊Q8—1581no—
1106C22⋊Q8—1581no—
1107C22⋊Q8—1581no—
1108C22⋊Q8—1581no—
1109C22⋊Q8—1581no—
1110C22⋊Q8—1581no—
1111C22⋊Q8—1581no—
1112C22⋊Q8—1581no—
1113C22⋊Q8—1581no—
1114C22⋊Q8—1581no—
1115C22⋊Q8—1581no—
1116C22⋊Q8—1581no—
1117C22⋊Q8—1581no—
1118C22⋊Q8—1581no—
1119C22⋊Q8—1581no—
1120C22⋊Q8C22×D7911yescharacteristic
1121#121—791no—
1122#121—791no—
1123#121—791no—
1124#121—791no—
1125#121—791no—
1126#121—1581no—
1127#121—1581no—
1128#121—1581no—
1129#121—1581no—
1130#121—1581no—
1131#121—1581no—
1132#121—1581no—
1133#121—1581no—
1134#121—1581no—
1135#121—1581no—
1136#121C22×D7911yescharacteristic
1137#120—1581no—
1138#120—1581no—
1139#120—1581no—
1140C4×Q8—21no—
1141C4×Q8—21no—
1142C4×Q8—791no—
1143C4×Q8—1581no—
1144C4×Q8—1581no—
1145C4×Q8—1581no—
1146C4×Q8—1581no—
1147C4×Q8—1581no—
1148C4×Q8—1581no—
1149C4×Q8C22×D7911yescharacteristic
1150C4×D4—21no—
1151C4×D4—791no—
1152C4×D4—791no—
1153C4×D4—791no—
1154C4×D4—791no—
1155C4×D4—791no—
1156C4×D4—1581no—
1157C4×D4—1581no—
1158C4×D4—1581no—
1159C4×D4—1581no—
1160C4×D4—1581no—
1161C4×D4—1581no—
1162C4×D4—1581no—
1163C4×D4—1581no—
1164C4×D4—1581no—
1165C4×D4C22×D7911yescharacteristic
1166#117—21no—
1167#117—791no—
1168#117—791no—
1169#117—791no—
1170#117—791no—
1171#117—791no—
1172#117—791no—
1173#117—791no—
1174#117—791no—
1175#117—791no—
1176#117—791no—
1177#117—791no—
1178#117—791no—
1179#117—791no—
1180#117—791no—
1181#117—791no—
1182#117—1581no—
1183#117—1581no—
1184#117—1581no—
1185#117—1581no—
1186#117—1581no—
1187#117—1581no—
1188#117C22×D7911yescharacteristic
1189#117C22×D7911yescharacteristic
1190C2×C4⋊C4—791no—
1191C2×C4⋊C4—791no—
1192C2×C4⋊C4—791no—
1193C2×C4⋊C4—791no—
1194C2×C4⋊C4—791no—
1195C2×C4⋊C4—791no—
1196C2×C4⋊C4—791no—
1197C2×C4⋊C4—1581no—
1198C2×C22⋊C4—791no—
1199C2×C22⋊C4—791no—
1200C2×C22⋊C4—1581no—
1201C2×C22⋊C4—1581no—
1202C2×C22⋊C4—1581no—
1203C2×C22⋊C4—1581no—
1204C2×C22⋊C4—1581no—
1205C2×C42—791no—
1206C2×C42—1581no—
1207C2×C42—1581no—
1208C2×C42C22×D7911yescharacteristic
1209#107—791no—
1210#107—791no—
1211#107—791no—
1212#107—791no—
1213#107—791no—
1214#107—791no—
1215#107—791no—
1216#107—791no—
1217#107—791no—
1218#107—791no—
1219#107—791no—
1220#107—791no—
1221#107C22×D7911yescharacteristic
1222#107C22×D7911yescharacteristic
1223#107C22×D7911yescharacteristic
1224#107C22×D7911yescharacteristic
1225#106—791no—
1226#106—791no—
1227#106—791no—
1228#106—791no—
1229#106—791no—
1230#106—791no—
1231#106—791no—
1232#106—791no—
1233#106—791no—
1234#106—791no—
1235#106—791no—
1236#106—791no—
1237#106C22×D7911yescharacteristic
1238#106C22×D7911yescharacteristic
1239#106C22×D7911yescharacteristic
1240#106C22×D7911yescharacteristic
1241C4⋊C8—791no—
1242C4⋊C8—791no—
1243C4⋊C8—791no—
1244C4⋊C8—791no—
1245C4⋊C8—791no—
1246C4⋊C8—791no—
1247C4⋊C8C22×D7911yescharacteristic
1248C4⋊C8C22×D7911yescharacteristic
1249#103—791no—
1250#103—791no—
1251#103—791no—
1252#103—791no—
1253#103C22×D7911yescharacteristic
1254#103C22×D7911yescharacteristic
1255#103C22×D7911yescharacteristic
1256#103C22×D7911yescharacteristic
1257#102—791no—
1258#102—791no—
1259#102—791no—
1260#102—791no—
1261#102—791no—
1262#102—791no—
1263#102—791no—
1264#102—791no—
1265#102—791no—
1266#102—791no—
1267#102—791no—
1268#102—791no—
1269#102—791no—
1270#102—791no—
1271#102—791no—
1272#102—791no—
1273#102—791no—
1274#102—791no—
1275#102—791no—
1276#102—791no—
1277#102C22×D7911yescharacteristic
1278#102C22×D7911yescharacteristic
1279#102C22×D7911yescharacteristic
1280#102C22×D7911yescharacteristic
1281C22⋊C8—791no—
1282C22⋊C8—791no—
1283C22⋊C8—791no—
1284C22⋊C8—791no—
1285C22⋊C8—791no—
1286C22⋊C8—791no—
1287C22⋊C8C22×D7911yescharacteristic
1288C22⋊C8C22×D7911yescharacteristic
1289#97—791no—
1290#97—791no—
1291#97—791no—
1292#97—791no—
1293C4×C8—791no—
1294C4×C8—791no—
1295C4×C8C22×D7911yescharacteristic
1296C4×C8C22×D7911yescharacteristic
1297C24—791no—
1298C24—1581no—
1299#41—6322no—
1300#41—6322no—
1301#41—1582no—
1302#41—1582no—
1303C2×Q8—21no—
1304C2×Q8—21no—
1305C2×Q8—1581no—
1306C2×Q8—1581no—
1307C2×Q8—1581no—
1308C2×Q8—1581no—
1309C2×Q8—1581no—
1310C2×Q8—1581no—
1311C2×Q8—1581no—
1312C2×Q8—1581no—
1313C2×Q8C23×D7911yescharacteristic
1314C2×D4—21no—
1315C2×D4—791no—
1316C2×D4—791no—
1317C2×D4—6322no—
1318C2×D4—1581no—
1319C2×D4—1581no—
1320C2×D4—1581no—
1321C2×D4—1582no—
1322C2×D4—1582no—
1323C2×D4—1581no—
1324C2×D4—1581no—
1325C2×D4—1581no—
1326C2×D4—1581no—
1327C2×D4—1581no—
1328C2×D4—1581no—
1329C2×D4—1581no—
1330C2×D4—1581no—
1331C2×D4C23×D7911yescharacteristic
1332C22×C4—21no—
1333C22×C4—791no—
1334C22×C4—791no—
1335C22×C4—791no—
1336C22×C4—791no—
1337C22×C4—791no—
1338C22×C4—791no—
1339C22×C4—791no—
1340C22×C4—1581no—
1341C22×C4—1581no—
1342C22×C4—1581no—
1343C22×C4—1582no—
1344C22×C4—1582no—
1345C22×C4—1581no—
1346C22×C4—1581no—
1347C22×C4—1581no—
1348C22×C4—1581no—
1349C22×C4—1581no—
1350C22×C4—1581no—
1351C22×C4—1581no—
1352C22×C4—1581no—
1353C22×C4D4×D7911yescharacteristic
1354C22×C4D4×D7911yescharacteristic
1355C22×C4C23×D7911yescharacteristic
1356M16—1582no—
1357M16—1582no—
1358C2×C8—791no—
1359C2×C8—791no—
1360C2×C8—791no—
1361C2×C8—791no—
1362C2×C8—1582no—
1363C2×C8—1582no—
1364C2×C8C23×D7911yescharacteristic
1365C2×C8C23×D7911yescharacteristic
1366C2×C8C23×D7911yescharacteristic
1367C2×C8C23×D7911yescharacteristic
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—791no—
1379C4⋊C4—791no—
1380C4⋊C4—791no—
1381C4⋊C4—791no—
1382C4⋊C4—791no—
1383C4⋊C4—791no—
1384C4⋊C4—791no—
1385C4⋊C4—791no—
1386C4⋊C4—791no—
1387C4⋊C4—791no—
1388C4⋊C4—791no—
1389C4⋊C4—791no—
1390C4⋊C4—791no—
1391C4⋊C4—791no—
1392C4⋊C4—1581no—
1393C4⋊C4—1581no—
1394C4⋊C4—1581no—
1395C4⋊C4—1581no—
1396C4⋊C4—1581no—
1397C4⋊C4—1581no—
1398C4⋊C4—1581no—
1399C4⋊C4—1581no—
1400C4⋊C4—1581no—
1401C4⋊C4—1581no—
1402C4⋊C4—1581no—
1403C4⋊C4—1581no—
1404C4⋊C4—1581no—
1405C4⋊C4—1581no—
1406C4⋊C4—1581no—
1407C4⋊C4—1581no—
1408C4⋊C4—1581no—
1409C4⋊C4—1581no—
1410C4⋊C4—1581no—
1411C4⋊C4—1581no—
1412C4⋊C4—1581no—
1413C4⋊C4—1581no—
1414C4⋊C4—1581no—
1415C4⋊C4—1581no—
1416C4⋊C4—1581no—
1417C4⋊C4—1581no—
1418C4⋊C4—1581no—
1419C4⋊C4—1581no—
1420C4⋊C4—1581no—
1421C4⋊C4C23×D7911yescharacteristic
1422C4⋊C4C23×D7911yescharacteristic
1423C4⋊C4C23×D7911yescharacteristic
1424C4⋊C4C23×D7911yescharacteristic
1425C4⋊C4C23×D7911yescharacteristic
1426C4⋊C4C23×D7911yescharacteristic
1427C22⋊C4—21no—
1428C22⋊C4—21no—
1429C22⋊C4—21no—
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—791no—
1435C22⋊C4—791no—
1436C22⋊C4—791no—
1437C22⋊C4—791no—
1438C22⋊C4—791no—
1439C22⋊C4—791no—
1440C22⋊C4—791no—
1441C22⋊C4—791no—
1442C22⋊C4—1581no—
1443C22⋊C4—1581no—
1444C22⋊C4—1581no—
1445C22⋊C4—1581no—
1446C22⋊C4—1581no—
1447C22⋊C4—1581no—
1448C22⋊C4—1581no—
1449C22⋊C4—1581no—
1450C22⋊C4—1581no—
1451C22⋊C4—1581no—
1452C22⋊C4—1581no—
1453C22⋊C4—1581no—
1454C22⋊C4—1581no—
1455C22⋊C4—1581no—
1456C22⋊C4—1581no—
1457C22⋊C4—1581no—
1458C22⋊C4—1581no—
1459C22⋊C4—1581no—
1460C22⋊C4—1581no—
1461C22⋊C4—1581no—
1462C42—21no—
1463C42—21no—
1464C42—21no—
1465C42—791no—
1466C42—791no—
1467C42—791no—
1468C42—791no—
1469C42—1581no—
1470C42—1581no—
1471C42—1581no—
1472C42—1581no—
1473C42—1581no—
1474C42—1581no—
1475C42—1581no—
1476C42—1581no—
1477C42D4×D7911yescharacteristic
1478C42D4×D7911yescharacteristic
1479C42C23×D7911yescharacteristic
1480C42C23×D7911yescharacteristic
1481C23—21no—
1482C23—3161no—
1483C23—3161no—
1484C23—3162no—
1485C23—791no—
1486C23—791no—
1487C23—6321no—
1488C23—6321no—
1489C23—1582no—
1490C23—1581no—
1491C23—1581no—
1492C23C2×D4×D7911yescharacteristic
1493Q8—21no—
1494Q8—21no—
1495Q8—81no—
1496Q8—81no—
1497Q8—6321no—
1498Q8—6321no—
1499Q8—6321no—
1500Q8—6321no—
1501Q8—6321no—
1502Q8—6321no—
1503Q8—6321no—
1504Q8—6321no—
1505D4—21no—
1506D4—21no—
1507D4—42no—
1508D4—3162no—
1509D4—3162no—
1510D4—3162no—
1511D4—3162no—
1512D4—6321no—
1513D4—6321no—
1514D4—6321no—
1515D4—6321no—
1516D4—6321no—
1517D4—6321no—
1518D4—6321no—
1519D4—1581no—
1520D4—1581no—
1521D4—1581no—
1522D4—1581no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—81no—
1535C2×C4—3162no—
1536C2×C4—3161no—
1537C2×C4—3161no—
1538C2×C4—791no—
1539C2×C4—792no—
1540C2×C4—792no—
1541C2×C4—791no—
1542C2×C4—791no—
1543C2×C4—791no—
1544C2×C4—791no—
1545C2×C4—791no—
1546C2×C4—6321no—
1547C2×C4—6321no—
1548C2×C4—6321no—
1549C2×C4—6321no—
1550C2×C4—6321no—
1551C2×C4—6321no—
1552C2×C4—6321no—
1553C2×C4—6321no—
1554C2×C4—6321no—
1555C2×C4—6321no—
1556C2×C4—1582no—
1557C2×C4—1582no—
1558C2×C4—1581no—
1559C2×C4—1581no—
1560C2×C4—1581no—
1561C2×C4—1581no—
1562C2×C4—1581no—
1563C2×C4—1581no—
1564C2×C4—1582no—
1565C2×C4—1581no—
1566C2×C4—1581no—
1567C2×C4C2×D4×D7911yescharacteristic
1568C2×C4C2×D4×D7911yescharacteristic
1569C2×C4C2×D4×D7911yescharacteristic
1570C2×C4C2×D4×D7911yescharacteristic
1571C2×C4C2×D4×D7911yescharacteristic
1572C2×C4C24×D7911yescharacteristic
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—21no—
1577C8—1581no—
1578C8—1581no—
1579C8—1581no—
1580C8—1581no—
1581C22—21no—
1582C22—21no—
1583C22—21no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—3161no—
1588C22—3161no—
1589C22—3161no—
1590C22—3161no—
1591C22—3161no—
1592C22—3161no—
1593C22—792no—
1594C22—6322no—
1595C22—1581no—
1596C22—1581no—
1597C22—1581no—
1598C22—1581no—
1599C22—1581no—
1600C22—12642no—
1601C22C22×D4×D7911yescharacteristic
1602C4—21no—
1603C4—21no—
1604C4—21no—
1605C4—21no—
1606C4—21no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—3161no—
1615C4—3161no—
1616C4—3161no—
1617C4—3161no—
1618C4—3161no—
1619C4—3161no—
1620C4—792no—
1621C4—1581no—
1622C4—1581no—
1623C4—1581no—
1624C4—1581no—
1625C4—1581no—
1626C42−1+4×D7911yescharacteristic
1627C42−1+4×D7911yescharacteristic
1628C2—41no—
1629C2—81no—
1630C2—3161no—
1631C2—6321no—
1632C2—6321no—
1633C2—1582no—
1634C2#536×D7911yescharacteristic
1635C2#2377816911yescharacteristic
1636C2#2377817711yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3233C2
socleC22×C79C23×D4
prime radical#23777123C2
hypercenter#3233D79
hypocenterC79#60875
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3233

Complements

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

NH ≅ G/Ntype
2. #23776803C2semidirect
3. #23774703C2semidirect
4. #23774691C2semidirect
5. #23774688C2semidirect
6. #23774676C2semidirect
7. #23774660C2semidirect
8. #23774656C2semidirect
9. #23774656C2semidirect
10. #23774652C2semidirect
11. #23774644C2semidirect
12. #23774636C2semidirect
13. #23774598C2semidirect
14. #23774595C2semidirect
15. #23774582C2semidirect
16. #23774538C2semidirect
17. #23774534C2semidirect
18. #23773937C2semidirect
19. #23773929C2semidirect
20. #23773753C2semidirect
21. #23773753C2semidirect
22. #23773339C2semidirect
23. #23773332C2semidirect
24. #23773318C2semidirect
25. #482×D79C2semidirect
26. #23773259C2semidirect
27. #23773248C2semidirect
28. #23773226C2semidirect
29. #23773224C2semidirect
30. #23772053C2semidirect
31. C79×#3233C2semidirect
43. #19099193C22semidirect
44. #19099193C22semidirect
49. #19099190C22semidirect
50. #19099190C22semidirect
58. #19099120C22semidirect
63. #19099116C22semidirect
64. #19099116C22semidirect
75. #19098973C22semidirect
76. #19098973C22semidirect
77. #19098973C22semidirect
78. #19098973C22semidirect
79. #19098971C22semidirect
80. #19098971C22semidirect
81. #19098970C22semidirect
82. #19098970C22semidirect
83. #19098968C22semidirect
84. #19098967C22semidirect
85. #19098964C22semidirect
86. #19098963C22semidirect
87. #19098961C22semidirect
88. #19098960C22semidirect
89. #19098929C22semidirect
90. #19098929C22semidirect
91. #19098926C22semidirect
92. #19098926C22semidirect
93. #19098924C22semidirect
94. #19098924C22semidirect
95. #19098922C22semidirect
96. #19098922C22semidirect
97. #19098919C22semidirect
98. #19098919C22semidirect
99. #19098910C22semidirect
100. #19098910C22semidirect
101. #19098908C22semidirect
102. #19098908C22semidirect
103. #19098903C22semidirect
104. #19098902C22semidirect
105. #19098901C22semidirect
106. #19098901C22semidirect
107. #19098897C22semidirect
108. #19098892C22semidirect
110. #19098890C22semidirect
112. #19098889C22semidirect
115. #19098888C22semidirect
116. #19098888C22semidirect
119. #19098887C22semidirect
120. #19098887C22semidirect
126. #19098883C22semidirect
129. #19098878C22semidirect
131. #19098872C22semidirect
132. #19098870C22semidirect
133. #19098870C22semidirect
134. #19098868C22semidirect
135. #19098866C22semidirect
136. #19098866C22semidirect
137. #19098865C22semidirect
138. #19098864C22semidirect
139. #19098864C22semidirect
140. #19098864C22semidirect
141. #19098864C22semidirect
142. #19098863C22semidirect
143. #19098863C22semidirect
144. #19098862C22semidirect
145. #19098862C22semidirect
146. #19098861C22semidirect
147. #19098856C22semidirect
148. #19098852C22semidirect
149. #19098852C22semidirect
150. #19098851C22semidirect
151. #19098850C22semidirect
152. #19098850C22semidirect
153. #19098846C22semidirect
154. #19098842C22semidirect
155. #19098842C22semidirect
156. #19098841C22semidirect
157. #19098840C22semidirect
158. #19098840C22semidirect
159. #19098623C22semidirect
160. #19098623C22semidirect
161. #19098622C22semidirect
162. #19098622C22semidirect
163. #19098620C22semidirect
164. #19098617C22semidirect
165. #19098613C22semidirect
188. #533×C79C22semidirect
190. #499×C79C22semidirect
191. #499×C79C22semidirect
192. #488×C79C22semidirect
193. #488×C79C22semidirect
194. #485×C79C22semidirect
195. #485×C79C22semidirect
198. #477×C79C22semidirect
199. #476×C79C22semidirect
200. #475×C79C22semidirect
201. #474×C79C22semidirect
202. #431×C79C22semidirect
834. #3233D79semidirect
850. C79#60875semidirect
884. #533C2×D79semidirect
908. #499C2×D79semidirect
909. #499C2×D79semidirect
922. #488C2×D79semidirect
923. #488C2×D79semidirect
932. #485C2×D79semidirect
933. #485C2×D79semidirect
977. #477C2×D79semidirect
983. #476C2×D79semidirect
985. #475C2×D79semidirect
991. #474C2×D79semidirect
999. #431C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237771232
#237768032
#237747032
#237746912
#237746882
#237746762
#237746602
#237746562
#237746522
#237746442
#237746362
#237745982
#237745952
#237745822
#237745382
#237745342
#237739372
#237739292
#237737532
#237733392
#237733322
#237733182
#482×D792
#237732592
#237732482
#237732262
#237732242
#237720532
C79×#32332
#6087579