Finite Group Databasebeta

← #35160772

Subgroups — #35160772

Order 20224.

1786 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777272C211yesmaximal, characteristic
2#23777215C211yesmaximal, characteristic, complemented
3#23774656C211yesmaximal, characteristic, complemented
4#23774655C211yesmaximal, characteristic, complemented
5#23774654C211yesmaximal, characteristic, complemented
6#23774653C211yesmaximal, characteristic, complemented
7#23774648C211yesmaximal, characteristic, complemented
8#23774647C211yesmaximal, characteristic, complemented
9#23774646C211yesmaximal, characteristic, complemented
10#23774535C211yesmaximal, characteristic, complemented
11#23774535C211yesmaximal, characteristic, complemented
12#23774534C211yesmaximal, characteristic, complemented
13#23774534C211yesmaximal, characteristic, complemented
14#23774527C211yesmaximal, characteristic, complemented
15#23774526C211yesmaximal, characteristic, complemented
16#23774520C211yesmaximal, characteristic, complemented
17#23774519C211yesmaximal, characteristic, complemented
18#23773945C211yesmaximal, characteristic, complemented
19#23773913C211yesmaximal, characteristic, complemented
20#23773773C211yesmaximal, characteristic, complemented
21#486×D79C211yesmaximal, characteristic, complemented
22#23773357C211yesmaximal, characteristic, complemented
23#23773355C211yesmaximal, characteristic, complemented
24#23773353C211yesmaximal, characteristic, complemented
25#23773351C211yesmaximal, characteristic, complemented
26#23773230C211yesmaximal, characteristic, complemented
27#23773228C211yesmaximal, characteristic, complemented
28#23773226C211yesmaximal, characteristic, complemented
29#23773224C211yesmaximal, characteristic, complemented
30#23772041C211yesmaximal, characteristic, complemented
31C79×#3241C211yesmaximal, characteristic, complemented
32#19099297—21no—
33#19099297—21no—
34#19099293—21no—
35#19099290—21no—
36#19099269—21no—
37#19099267—21no—
38#19099267—21no—
39#19099231—21no—
40#19099231—21no—
41#19099228—21no—
42#19099226—21no—
43#19099226—21no—
44#19099205—21no—
45#19099205—21no—
46#19099202—21no—
47#19099202—21no—
48#19099193C2211yescharacteristic
49#19099193C2211yescharacteristic, complemented
50#19099191C2211yescharacteristic, complemented
51#19099190C2211yescharacteristic
52#19099190C2211yescharacteristic, complemented
53#19099169C2211yescharacteristic
54#19099168C2211yescharacteristic
55#19099167C2211yescharacteristic
56#19099129C2211yescharacteristic
57#19099129C2211yescharacteristic
58#19099119C2211yescharacteristic
59#19099119C2211yescharacteristic
60#19099119C2211yescharacteristic, complemented
61#19099116C2211yescharacteristic, complemented
62#19099110C2211yescharacteristic
63#19099110C2211yescharacteristic
64#19099108C2211yescharacteristic
65#19099108C2211yescharacteristic
66C2×#14579160C2211yescharacteristic, complemented
67C4⋊Q8×D79C2211yescharacteristic
68C4⋊Q8×D79C2211yescharacteristic, complemented
69#127×D79C2211yescharacteristic
70#19099044C2211yescharacteristic
71#19099043C2211yescharacteristic
72#19099035C2211yescharacteristic
73#19099035C2211yescharacteristic
74#19099031C2211yescharacteristic
75#19098973C2211yescharacteristic, complemented
76#19098972C2211yescharacteristic, complemented
77#19098969C2211yescharacteristic, complemented
78#19098967C2211yescharacteristic, complemented
79#19098967C2211yescharacteristic, complemented
80#19098967C2211yescharacteristic, complemented
81#19098967C2211yescharacteristic, complemented
82#19098965C2211yescharacteristic, complemented
83#19098962C2211yescharacteristic, complemented
84#19098962C2211yescharacteristic, complemented
85#19098960C2211yescharacteristic, complemented
86#19098960C2211yescharacteristic, complemented
87#19098960C2211yescharacteristic, complemented
88#19098960C2211yescharacteristic, complemented
89#19098929C2211yescharacteristic
90#19098928C2211yescharacteristic
91#19098927C2211yescharacteristic
92#19098911C2211yescharacteristic
93#19098910C2211yescharacteristic
94#19098909C2211yescharacteristic
95#19098908C2211yescharacteristic
96#19098908C2211yescharacteristic
97#19098908C2211yescharacteristic
98#19098908C2211yescharacteristic
99#19098908C2211yescharacteristic
100#19098908C2211yescharacteristic
101#19098908C2211yescharacteristic
102#19098908C2211yescharacteristic
103#19098890C2211yescharacteristic, complemented
104#19098890C2211yescharacteristic, complemented
105#19098889C2211yescharacteristic, complemented
106#19098889C2211yescharacteristic, complemented
107#19098888C2211yescharacteristic, complemented
108#19098888C2211yescharacteristic, complemented
109#19098887C2211yescharacteristic, complemented
110#19098887C2211yescharacteristic, complemented
111#19098886C2211yescharacteristic, complemented
112#19098886C2211yescharacteristic, complemented
113#19098885C2211yescharacteristic, complemented
114#19098885C2211yescharacteristic, complemented
115#19098884C2211yescharacteristic, complemented
116#19098884C2211yescharacteristic, complemented
117#19098883C2211yescharacteristic, complemented
118#19098883C2211yescharacteristic, complemented
119#19098882C2211yescharacteristic, complemented
120#19098881C2211yescharacteristic, complemented
121#19098880C2211yescharacteristic, complemented
122#19098880C2211yescharacteristic, complemented
123#19098879C2211yescharacteristic, complemented
124#19098878C2211yescharacteristic, complemented
125#19098878C2211yescharacteristic, complemented
126#19098877C2211yescharacteristic, complemented
127#19098876C2211yescharacteristic, complemented
128#19098875C2211yescharacteristic, complemented
129#19098875C2211yescharacteristic, complemented
130#19098874C2211yescharacteristic, complemented
131#19098866C2211yescharacteristic, complemented
132#19098866C2211yescharacteristic, complemented
133#19098865C2211yescharacteristic, complemented
134#19098865C2211yescharacteristic, complemented
135#19098864C2211yescharacteristic, complemented
136#19098864C2211yescharacteristic, complemented
137#19098863C2211yescharacteristic, complemented
138#19098863C2211yescharacteristic, complemented
139#19098862C2211yescharacteristic, complemented
140#19098862C2211yescharacteristic, complemented
141#19098861C2211yescharacteristic, complemented
142#19098861C2211yescharacteristic, complemented
143#19098860C2211yescharacteristic, complemented
144#19098860C2211yescharacteristic, complemented
145#19098854C2211yescharacteristic, complemented
146#19098853C2211yescharacteristic, complemented
147#19098852C2211yescharacteristic, complemented
148#19098852C2211yescharacteristic, complemented
149#19098851C2211yescharacteristic, complemented
150#19098851C2211yescharacteristic, complemented
151#19098850C2211yescharacteristic, complemented
152#19098844C2211yescharacteristic, complemented
153#19098843C2211yescharacteristic, complemented
154#19098842C2211yescharacteristic, complemented
155#19098842C2211yescharacteristic, complemented
156#19098841C2211yescharacteristic, complemented
157#19098841C2211yescharacteristic, complemented
158#19098840C2211yescharacteristic, complemented
159#19098625C2211yescharacteristic, complemented
160#19098624C2211yescharacteristic, complemented
161#19098622C2211yescharacteristic, complemented
162#19098615C2211yescharacteristic, complemented
163#19098615C2211yescharacteristic, complemented
164#19098613C2211yescharacteristic, complemented
165#19098613C2211yescharacteristic, complemented
166#19098604C2211yescharacteristic
167#19098604C2211yescharacteristic
168#19098602C2211yescharacteristic
169#19098602C2211yescharacteristic
170#19098600C2211yescharacteristic
171#19098600C2211yescharacteristic
172#19098598C2211yescharacteristic
173#19098598C2211yescharacteristic
174#19098588C2211yescharacteristic
175#19098588C2211yescharacteristic
176#19098566C2211yescharacteristic
177#19098566C2211yescharacteristic
178#19098566C2211yescharacteristic
179#19098566C2211yescharacteristic
180#102×D79C2211yescharacteristic
181#102×D79C2211yescharacteristic
182#102×D79C2211yescharacteristic
183#102×D79C2211yescharacteristic
184#19098528C2211yescharacteristic
185#19098528C2211yescharacteristic
186#19098515C2211yescharacteristic
187C4×C8×D79C2211yescharacteristic
188#544×C79C2211yescharacteristic, complemented
189#540×C79C2211yescharacteristic
190#501×C79C2211yescharacteristic, complemented
191#499×C79C2211yescharacteristic, complemented
192#490×C79C2211yescharacteristic
193#486×C79C2211yescharacteristic
194#482×C79C2211yescharacteristic, complemented
195#482×C79C2211yescharacteristic, complemented
196#481×C79C2211yescharacteristic, complemented
197#480×C79C2211yescharacteristic, complemented
198#478×C79C2211yescharacteristic, complemented
199#478×C79C2211yescharacteristic, complemented
200#476×C79C2211yescharacteristic, complemented
201#474×C79C2211yescharacteristic, complemented
202#433×C79C2211yescharacteristic, complemented
203C2×#11929624—21no—
204C2×#11929624—21no—
205C2×#11929624C2311yescharacteristic
206C2×#11929623—21no—
207C2×#11929623—21no—
208C22×Dic158—21no—
209C2×Q8×D79—21no—
210C2×Q8×D79—21no—
211C2×D4×D79—21no—
212C2×D4×D79—21no—
213C2×D4×D79C2311yescharacteristic
214C2×D4×D79C2311yescharacteristic
215C2×#11929607C2311yescharacteristic
216C2×#11929607C2311yescharacteristic
217C2×C8×D79C2311yescharacteristic
218C2×C8×D79C2311yescharacteristic
219#14579161C2311yescharacteristic
220#14579161C2311yescharacteristic
221#14579160—21no—
222#14579160—21no—
223#14579160—21no—
224#14579160—21no—
225#14579160—21no—
226#14579160—21no—
227#14579160—21no—
228#14579160C2311yescharacteristic
229#14579160C2311yescharacteristic
230#14579160C2311yescharacteristic
231#14579160C2311yescharacteristic
232#14579160C2311yescharacteristic
233#14579160C2311yescharacteristic
234#14579160C2311yescharacteristic
235#14579160C2311yescharacteristic
236#14579159—21no—
237#14579159—21no—
238#14579159—21no—
239#14579159—21no—
240#14579158C2311yescharacteristic
241#14579157—21no—
242#14579157—21no—
243#14579157—21no—
244#14579157—21no—
245#14579157C2311yescharacteristic
246#14579157C2311yescharacteristic
247#14579153C2311yescharacteristic
248#14579153C2311yescharacteristic
249#14579153C2311yescharacteristic
250#14579152—21no—
251#14579152C2311yescharacteristic
252#14579152C2311yescharacteristic
253#14579151—21no—
254#14579151—21no—
255#14579151—21no—
256#14579151—21no—
257#14579147—21no—
258#14579147—21no—
259#14579147—21no—
260#14579147—21no—
261#14579147—21no—
262#14579147—21no—
263#14579146—21no—
264#14579146—21no—
265#14579146—21no—
266#14579146—21no—
267#14579142—21no—
268#14579142—21no—
269#14579141—21no—
270#14579141—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#14579137—21no—
286#14579137—21no—
287#14579136—21no—
288#14579136—21no—
289#14579136C2311yescharacteristic
290#14579136C2311yescharacteristic
291#14579135C2311yescharacteristic
292#14579135C2311yescharacteristic
293#14579134—21no—
294#14579134—21no—
295#14579134—21no—
296#14579134—21no—
297#14579133—21no—
298#14579133—21no—
299#14579133—21no—
300#14579133—21no—
301#14579132C2311yescharacteristic
302#14579132C2311yescharacteristic
303#14579131—21no—
304#14579131—21no—
305#14579129—21no—
306#14579129—21no—
307C4×Dic158—21no—
308C4×Dic158—21no—
309C4×Dic158—21no—
310#14579126—21no—
311#14579126—21no—
312#14579126—21no—
313#14579126—21no—
314#14579126—21no—
315#14579126—21no—
316#14579126—21no—
317#14579126D411yescharacteristic
318#14579126D411yescharacteristic
319C4×D316—21no—
320C4×D316C2311yescharacteristic
321C4×D316C2311yescharacteristic
322D4×Dic79C2311yescharacteristic
323D4×Dic79C2311yescharacteristic
324#14579123—21no—
325#14579123D411yescharacteristic
326#14579123D411yescharacteristic
327#14579123C2311yescharacteristic
328#14579123C2311yescharacteristic
329C4×C22⋊D79—21no—
330C4×C22⋊D79—21no—
331C4×C22⋊D79—21no—
332C4×C22⋊D79—21no—
333C4×C22⋊D79—21no—
334C4×C22⋊D79—21no—
335(C22⋊D79)⋊C4—21no—
336(C22⋊D79)⋊C4—21no—
337(C22⋊D79)⋊C4—21no—
338(C22⋊D79)⋊C4—21no—
339(C22⋊D79)⋊C4—21no—
340(C22⋊D79)⋊C4—21no—
341(C22⋊D79)⋊C4D411yescharacteristic
342(C22⋊D79)⋊C4D411yescharacteristic
343(C22⋊D79)⋊C4D411yescharacteristic
344(C22⋊D79)⋊C4D411yescharacteristic
345#14579120C2311yescharacteristic
346#14579119C2311yescharacteristic
347#14579119C2311yescharacteristic
348#14579119C2311yescharacteristic
349#14579119C2311yescharacteristic
350#14579119C2311yescharacteristic
351#14579119C2311yescharacteristic
352#14579118C2311yescharacteristic
353#14579118C2311yescharacteristic
354C2×C4⋊Dic79C2311yescharacteristic
355C2×Dic79⋊C4—21no—
356C4⋊C4×D79—21no—
357C4⋊C4×D79—21no—
358C4⋊C4×D79C2311yescharacteristic
359C4⋊C4×D79C2311yescharacteristic
360C4⋊C4×D79C2311yescharacteristic
361C4⋊C4×D79C2311yescharacteristic
362C2×(C2×D79)⋊C4—21no—
363C2×(C2×D79)⋊C4—21no—
364C22⋊C4×D79—21no—
365C22⋊C4×D79—21no—
366C2×C4×Dic79C2311yescharacteristic
367C42×D79C2311yescharacteristic
368C42×D79C2311yescharacteristic
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#14579083C2311yescharacteristic
400#14579083C2311yescharacteristic
401#14579083C2311yescharacteristic
402#14579083C2311yescharacteristic
403#14579083C2311yescharacteristic
404#14579083C2311yescharacteristic
405#14579083C2311yescharacteristic
406#14579083C2311yescharacteristic
407#14579082C2311yescharacteristic
408#14579082C2311yescharacteristic
409#14579082C2311yescharacteristic
410#14579082C2311yescharacteristic
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
430C4×C79⋊C8C2311yescharacteristic
431C8×Dic79C2311yescharacteristic
432C8×Dic79C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C4⋊Q8×C79—21no—
436C4⋊Q8×C79C2311yescharacteristic
437C4⋊Q8×C79C2311yescharacteristic
438#127×C79C2311yescharacteristic
439#125×C79—21no—
440#125×C79C2311yescharacteristic
441#125×C79C2311yescharacteristic
442#125×C79C2311yescharacteristic
443#123×C79—21no—
444#123×C79—21no—
445C22⋊Q8×C79—21no—
446C22⋊Q8×C79—21no—
447#121×C79—21no—
448#121×C79—21no—
449#121×C79C2311yescharacteristic
450#121×C79C2311yescharacteristic
451C4×D4×C79C2311yescharacteristic
452C4×D4×C79C2311yescharacteristic
453#117×C79C2311yescharacteristic
454#117×C79C2311yescharacteristic
455C2×C4⋊C4×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#102×C79C2311yescharacteristic
467#102×C79C2311yescharacteristic
468#102×C79C2311yescharacteristic
469#102×C79C2311yescharacteristic
470#102×C79C2311yescharacteristic
471#102×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474C22⋊C8×C79C2311yescharacteristic
475C22⋊C8×C79C2311yescharacteristic
476#97×C79C2311yescharacteristic
477C4×C8×C79C2311yescharacteristic
478C23×D79—21no—
479C23×D79—21no—
480#11929624—22no—
481#11929624—22no—
482#11929624—82no—
483#11929624—82no—
484#11929623—82no—
485#11929623—82no—
486C2×Dic158—21no—
487C2×Dic158—21no—
488C2×Dic158—21no—
489C2×Dic158—21no—
490C2×Dic158—21no—
491C2×Dic158—21no—
492C2×Dic158—21no—
493C2×Dic158—21no—
494C2×Dic158—21no—
495C2×Dic158—21no—
496C2×Dic158—82no—
497C2×Dic158C2×D411yescharacteristic
498Q8×D79—82no—
499Q8×D79—82no—
500C2×D316—21no—
501C2×D316—21no—
502C2×D316—21no—
503C2×D316—21no—
504C2×D316C2×D411yescharacteristic
505C2×D316C2411yescharacteristic
506C2×D316C2411yescharacteristic
507C2×C22⋊D79—21no—
508C2×C22⋊D79—21no—
509C2×C22⋊D79—21no—
510C2×C22⋊D79—21no—
511C2×C22⋊D79—21no—
512C2×C22⋊D79—21no—
513C2×C22⋊D79—21no—
514C2×C22⋊D79—21no—
515C2×C22⋊D79—21no—
516C2×C22⋊D79—21no—
517C2×C22⋊D79C2×D411yescharacteristic
518C2×C22⋊D79C2×D411yescharacteristic
519D4×D79—22no—
520D4×D79—22no—
521D4×D79—22no—
522D4×D79—22no—
523D4×D79—82no—
524D4×D79—82no—
525C22×Dic79—21no—
526C22×Dic79—21no—
527C22×Dic79—21no—
528C22×Dic79C2×D411yescharacteristic
529C22×Dic79C2×D411yescharacteristic
530C2×C4×D79—21no—
531C2×C4×D79—21no—
532C2×C4×D79—21no—
533C2×C4×D79—21no—
534C2×C4×D79—21no—
535C2×C4×D79—21no—
536C2×C4×D79—21no—
537C2×C4×D79—21no—
538C2×C4×D79C2×D411yescharacteristic
539C2×C4×D79C2×D411yescharacteristic
540C2×C4×D79C2×D411yescharacteristic
541C2×C4×D79C2×D411yescharacteristic
542C2×C4×D79C2411yescharacteristic
543C2×C4×D79C2411yescharacteristic
544#11929607—22no—
545#11929607—22no—
546C2×C79⋊C8C2411yescharacteristic
547C2×C79⋊C8C2411yescharacteristic
548C2×C79⋊C8C2411yescharacteristic
549C2×C79⋊C8C2411yescharacteristic
550C8×D79—22no—
551C8×D79—22no—
552C4⋊Dic79—21no—
553C4⋊Dic79—21no—
554C4⋊Dic79—21no—
555C4⋊Dic79—21no—
556C4⋊Dic79—21no—
557C4⋊Dic79C2411yescharacteristic
558C4⋊Dic79C2411yescharacteristic
559C4⋊Dic79C2411yescharacteristic
560C4⋊Dic79C2411yescharacteristic
561C4⋊Dic79C2411yescharacteristic
562C4⋊Dic79C2411yescharacteristic
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⋊C4—21no—
572Dic79⋊C4—21no—
573Dic79⋊C4—21no—
574Dic79⋊C4—21no—
575Dic79⋊C4—21no—
576Dic79⋊C4—21no—
577Dic79⋊C4—21no—
578Dic79⋊C4—21no—
579Dic79⋊C4—21no—
580Dic79⋊C4—21no—
581Dic79⋊C4—21no—
582Dic79⋊C4—21no—
583Dic79⋊C4C2×D411yescharacteristic
584Dic79⋊C4C2×D411yescharacteristic
585Dic79⋊C4C2×D411yescharacteristic
586Dic79⋊C4C2×D411yescharacteristic
587C22⋊Dic79—21no—
588C22⋊Dic79—21no—
589C22⋊Dic79—21no—
590C22⋊Dic79—21no—
591C22⋊Dic79—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)⋊C4—21no—
600(C2×D79)⋊C4—21no—
601(C2×D79)⋊C4—21no—
602(C2×D79)⋊C4—21no—
603(C2×D79)⋊C4—21no—
604(C2×D79)⋊C4—21no—
605(C2×D79)⋊C4—21no—
606(C2×D79)⋊C4C2×D411yescharacteristic
607(C2×D79)⋊C4C2×D411yescharacteristic
608(C2×D79)⋊C4C2×D411yescharacteristic
609(C2×D79)⋊C4C2×D411yescharacteristic
610C4×Dic79—21no—
611C4×Dic79—21no—
612C4×Dic79—21no—
613C4×Dic79—21no—
614C4×Dic79—21no—
615C4×Dic79—21no—
616C4×Dic79—21no—
617C4×Dic79C2×D411yescharacteristic
618C4×Dic79C2×D411yescharacteristic
619C4×Dic79C2×D411yescharacteristic
620C4×Dic79C2×D411yescharacteristic
621C4×Dic79C2×D411yescharacteristic
622C4×Dic79C2×D411yescharacteristic
623C4×Dic79C2411yescharacteristic
624C4×Dic79C2411yescharacteristic
625C2×Q8×C79—21no—
626C2×Q8×C79—21no—
627C2×D4×C79—21no—
628C2×D4×C79—21no—
629C2×D4×C79—21no—
630C2×D4×C79—21no—
631C2×D4×C79C2411yescharacteristic
632C2×D4×C79C2411yescharacteristic
633C22×C4×C79—21no—
634C22×C4×C79—21no—
635C22×C4×C79—21no—
636C22×C4×C79C2411yescharacteristic
637C2×C8×C79C2411yescharacteristic
638C2×C8×C79C2411yescharacteristic
639C2×C8×C79C2411yescharacteristic
640C2×C8×C79C2411yescharacteristic
641C4⋊C4×C79—21no—
642C4⋊C4×C79—21no—
643C4⋊C4×C79—21no—
644C4⋊C4×C79—21no—
645C4⋊C4×C79—21no—
646C4⋊C4×C79—21no—
647C4⋊C4×C79—21no—
648C4⋊C4×C79—21no—
649C4⋊C4×C79—21no—
650C4⋊C4×C79C2×D411yescharacteristic
651C4⋊C4×C79C2×D411yescharacteristic
652C4⋊C4×C79C2411yescharacteristic
653C4⋊C4×C79C2411yescharacteristic
654C4⋊C4×C79C2411yescharacteristic
655C4⋊C4×C79C2411yescharacteristic
656C4⋊C4×C79C2411yescharacteristic
657C4⋊C4×C79C2411yescharacteristic
658C22⋊C4×C79—21no—
659C22⋊C4×C79—21no—
660C22⋊C4×C79—21no—
661C22⋊C4×C79—21no—
662C22⋊C4×C79—21no—
663C22⋊C4×C79C2×D411yescharacteristic
664C22⋊C4×C79C2×D411yescharacteristic
665C42×C79—21no—
666C42×C79C2411yescharacteristic
667C42×C79C2411yescharacteristic
668C23×C79—21no—
669C23×C79—21no—
670C23×C79C22×D411yescharacteristic
671C22×D79—21no—
672C22×D79—21no—
673C22×D79—42no—
674C22×D79—42no—
675C22×D79—81no—
676C22×D79—81no—
677C22×D79—81no—
678C22×D79—81no—
679C22×D79C22×D411yescharacteristic
680C22×D79C22×D411yescharacteristic
681Q8×C79—81no—
682Q8×C79—81no—
683D4×C79—21no—
684D4×C79—21no—
685D4×C79—21no—
686D4×C79—21no—
687D4×C79—81no—
688D4×C79—81no—
689D4×C79—81no—
690D4×C79—81no—
691C2×C4×C79—21no—
692C2×C4×C79—21no—
693C2×C4×C79—21no—
694C2×C4×C79—21no—
695C2×C4×C79—21no—
696C2×C4×C79—21no—
697C2×C4×C79—21no—
698C2×C4×C79—21no—
699C2×C4×C79—81no—
700C2×C4×C79—81no—
701C2×C4×C79—81no—
702C2×C4×C79C22×D411yescharacteristic
703C2×C4×C79C22×D411yescharacteristic
704C2×C4×C79C22×D411yescharacteristic
705C2×C4×C79C22×D411yescharacteristic
706C2×C4×C79C22×D411yescharacteristic
707C2×C4×C79C2511yescharacteristic
708C22⋊D79—22no—
709C22⋊D79—22no—
710C22⋊D79—42no—
711C22⋊D79—42no—
712C22⋊D79—42no—
713C22⋊D79—42no—
714C22⋊D79—42no—
715C22⋊D79—42no—
716C22⋊D79—81no—
717C22⋊D79—81no—
718C22⋊D79—81no—
719C22⋊D79—81no—
720C2×Dic79—22no—
721C2×Dic79—22no—
722C2×Dic79—21no—
723C2×Dic79—21no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—81no—
729C2×Dic79—81no—
730C2×Dic79—81no—
731C2×Dic79C22×D411yescharacteristic
732C2×Dic79C22×D411yescharacteristic
733C2×Dic79C22×D411yescharacteristic
734C2×Dic79C22×D411yescharacteristic
735C2×Dic79C22×D411yescharacteristic
736C2×Dic79C22×D411yescharacteristic
737D316—22no—
738D316—21no—
739D316—21no—
740D316—21no—
741D316—21no—
742D316—81no—
743D316—81no—
744D316—81no—
745D316—81no—
746C4×D79—21no—
747C4×D79—21no—
748C4×D79—22no—
749C4×D79—22no—
750C4×D79—22no—
751C4×D79—22no—
752C4×D79—81no—
753C4×D79—81no—
754C4×D79—81no—
755C4×D79—81no—
756C4×D79—81no—
757C4×D79—81no—
758C4×D79—81no—
759C4×D79—81no—
760C4×D792−1+412yes—
761C4×D792−1+412yes—
762Dic158—22no—
763Dic158—42no—
764Dic158—42no—
765Dic158—42no—
766Dic158—42no—
767Dic158—42no—
768Dic158—42no—
769Dic158—81no—
770Dic158—81no—
771Dic158—81no—
772Dic158—81no—
773C8×C79—21no—
774C8×C79—21no—
775C8×C79—21no—
776C8×C79—21no—
777C79⋊C8—21no—
778C79⋊C8—21no—
779C79⋊C8—21no—
780C79⋊C8—21no—
781C22×C79—21no—
782C22×C79—21no—
783C22×C79—21no—
784C22×C79—41no—
785C22×C79—41no—
786C22×C79—41no—
787C22×C79—41no—
788C22×C79—41no—
789C22×C79—41no—
790C22×C79C23×D411yescharacteristic
791C2×D79—21no—
792C2×D79—21no—
793C2×D79—21no—
794C2×D79—21no—
795C2×D79—21no—
796C2×D79—41no—
797C2×D79—41no—
798C2×D79—41no—
799C2×D79—41no—
800C2×D79—41no—
801C2×D79—41no—
802C2×D79—162no—
803C2×D79—162no—
804C2×D79#53612yes—
805C4×C79—21no—
806C4×C79—21no—
807C4×C79—21no—
808C4×C79—21no—
809C4×C79—21no—
810C4×C79—41no—
811C4×C79—41no—
812C4×C79—41no—
813C4×C79—41no—
814C4×C79—41no—
815C4×C79—41no—
816C4×C79C2×2−1+411yescharacteristic
817C4×C79C2×2−1+411yescharacteristic
818Dic79—21no—
819Dic79—21no—
820Dic79—21no—
821Dic79—41no—
822Dic79—41no—
823Dic79—41no—
824Dic79—41no—
825Dic79—41no—
826Dic79—41no—
827Dic79#53612yes—
828Dic79#57612yes—
829Dic79#57712yes—
830#60877—791nomaximal, Sylow
831C2×C79—41no—
832C2×C79—81no—
833C2×C79—81no—
834C2×C79C2×#53611yescharacteristic
835C2×C79C2×#57611yescharacteristic
836C2×C79C2×#57711yescharacteristic
837D79—22no—
838D79—41no—
839D79—81no—
840D79—81no—
841#3508—791no—
842#3503—791no—
843#3241—791no—
844#3241—791no—
845#3241—791no—
846#3241—791no—
847#3241—791no—
848#3241—791no—
849#3241—791no—
850#3241D7911yescharacteristic, complemented
851#3228—791no—
852#3228—791no—
853#3228—791no—
854#3228—791no—
855#3227—791no—
856#3227—791no—
857#3226—791no—
858#3226—791no—
859#3165—791no—
860#3160—791no—
861#3138—791no—
862C2×#486—791no—
863#3096—791no—
864#3096—791no—
865#3096—791no—
866#3096—791no—
867#3081—791no—
868#3081—791no—
869#3081—791no—
870#3081—791no—
871#2922—791no—
872C79#6087711yescharacteristic, complemented, Sylow
873#559—1581no—
874#559—1581no—
875Q82—1581no—
876#557—1581no—
877#554—1581no—
878#554—1581no—
879#554—1581no—
880#550—1581no—
881#550—1581no—
882D4×Q8—1581no—
883D4×Q8—1581no—
884D4×Q8—1581no—
885#546—1581no—
886#546—1581no—
887#546—1581no—
888#546—1581no—
889#544—791no—
890#544—791no—
891#544—791no—
892#544—791no—
893#544—791no—
894#544C2×D7911yescharacteristic, complemented
895#540—791no—
896#540—791no—
897#540—791no—
898#540C2×D7911yescharacteristic
899#535—791no—
900#535—791no—
901#533—791no—
902#533—791no—
903#533—791no—
904#533—791no—
905#532—791no—
906#532—791no—
907#532—791no—
908#532—791no—
909C2×C4⋊Q8—791no—
910C2×C4⋊Q8—791no—
911C2×C4⋊Q8—791no—
912C2×#127—791no—
913#520—791no—
914#520—791no—
915#518—791no—
916#518—791no—
917C4×#41—791no—
918#501—791no—
919#501—791no—
920#501—791no—
921#501C2×D7911yescharacteristic, complemented
922#500—791no—
923#500—791no—
924#500—791no—
925#500—791no—
926#499—791no—
927#499—791no—
928#499—791no—
929#499C2×D7911yescharacteristic, complemented
930#498—791no—
931#498—791no—
932#498—791no—
933#498—791no—
934#490—791no—
935#490—791no—
936#490—791no—
937#490C2×D7911yescharacteristic
938#486—791no—
939#486—791no—
940#486—791no—
941#486—791no—
942#486—791no—
943#486—791no—
944#486—791no—
945#486—791no—
946#486—791no—
947#486—791no—
948#486—791no—
949#486C2×D7911yescharacteristic
950#482—791no—
951#482—791no—
952#482—791no—
953#482—791no—
954#482—791no—
955#482—791no—
956#482—791no—
957#482—791no—
958#482—791no—
959#482—791no—
960#482—791no—
961#482—791no—
962#482—791no—
963#482—791no—
964#482C2×D7911yescharacteristic, complemented
965#482C2×D7911yescharacteristic, complemented
966#481—791no—
967#481—791no—
968#481—791no—
969#481—791no—
970#481—791no—
971#481—791no—
972#481—791no—
973#481C2×D7911yescharacteristic, complemented
974#480—791no—
975#480—791no—
976#480—791no—
977#480—791no—
978#480—791no—
979#480—791no—
980#480—791no—
981#480C2×D7911yescharacteristic, complemented
982#478—791no—
983#478—791no—
984#478—791no—
985#478—791no—
986#478—791no—
987#478—791no—
988#478—791no—
989#478—791no—
990#478—791no—
991#478—791no—
992#478—791no—
993#478—791no—
994#478—791no—
995#478—791no—
996#478C2×D7911yescharacteristic, complemented
997#478C2×D7911yescharacteristic, complemented
998#476—791no—
999#476—791no—
1000#476—791no—
1001#476—791no—
1002#476—791no—
1003#476—791no—
1004#476—791no—
1005#476C2×D7911yescharacteristic, complemented
1006#474—791no—
1007#474—791no—
1008#474—791no—
1009#474—791no—
1010#474—791no—
1011#474—791no—
1012#474—791no—
1013#474C2×D7911yescharacteristic, complemented
1014#433—791no—
1015#433—791no—
1016#433—791no—
1017#433C2×D7911yescharacteristic, complemented
1018#431—791no—
1019#431—791no—
1020#431—791no—
1021#431—791no—
1022#428—791no—
1023#428—791no—
1024#428—791no—
1025#428—791no—
1026#427—791no—
1027#427—791no—
1028#427—791no—
1029#427—791no—
1030#424—791no—
1031#424—791no—
1032#418—791no—
1033#418—791no—
1034#418—791no—
1035#418—791no—
1036C2×#102—791no—
1037C2×#102—791no—
1038C2×#102—791no—
1039C2×#102—791no—
1040#408—791no—
1041#408—791no—
1042C4×M16—791no—
1043C2×C4×C8—791no—
1044C2×#41—791no—
1045C2×#41—1581no—
1046C2×#41—1581no—
1047C2×#41—1581no—
1048C2×#41—1581no—
1049C22×Q8—1581no—
1050C22×Q8—1581no—
1051C22×Q8—1581no—
1052C22×D4—791no—
1053C22×D4—791no—
1054C22×D4—1581no—
1055C22×D4—1581no—
1056C2×M16—791no—
1057C2×M16—791no—
1058C22×C8—791no—
1059C22×C8—791no—
1060C4⋊Q8—21no—
1061C4⋊Q8—791no—
1062C4⋊Q8—791no—
1063C4⋊Q8—791no—
1064C4⋊Q8—791no—
1065C4⋊Q8—791no—
1066C4⋊Q8—791no—
1067C4⋊Q8—791no—
1068C4⋊Q8—791no—
1069C4⋊Q8—791no—
1070C4⋊Q8—791no—
1071C4⋊Q8—1581no—
1072C4⋊Q8—1581no—
1073C4⋊Q8—1581no—
1074C4⋊Q8—1581no—
1075C4⋊Q8—1581no—
1076C4⋊Q8—1581no—
1077C4⋊Q8—1581no—
1078C4⋊Q8—1581no—
1079C4⋊Q8—1581no—
1080C4⋊Q8—1581no—
1081C4⋊Q8—1581no—
1082C4⋊Q8C22×D7911yescharacteristic
1083C4⋊Q8C22×D7911yescharacteristic
1084#127—791no—
1085#127—791no—
1086#127—791no—
1087#127—1581no—
1088#127—1581no—
1089#127—1581no—
1090#127—1581no—
1091#127C22×D7911yescharacteristic
1092#125—21no—
1093#125—791no—
1094#125—791no—
1095#125—791no—
1096#125—791no—
1097#125—791no—
1098#125—1581no—
1099#125—1581no—
1100#125—1581no—
1101#125—1581no—
1102#125—1581no—
1103#125C22×D7911yescharacteristic
1104#125C22×D7911yescharacteristic
1105#125C22×D7911yescharacteristic
1106#124—1581no—
1107#124—1581no—
1108#124—1581no—
1109#124—1581no—
1110#124—1581no—
1111#124—1581no—
1112#123—21no—
1113#123—21no—
1114#123—1581no—
1115#123—1581no—
1116#123—1581no—
1117#123—1581no—
1118#123—1581no—
1119#123—1581no—
1120C22⋊Q8—21no—
1121C22⋊Q8—21no—
1122C22⋊Q8—1581no—
1123C22⋊Q8—1581no—
1124C22⋊Q8—1581no—
1125C22⋊Q8—1581no—
1126C22⋊Q8—1581no—
1127C22⋊Q8—1581no—
1128C22⋊Q8—1581no—
1129C22⋊Q8—1581no—
1130C22⋊Q8—1581no—
1131C22⋊Q8—1581no—
1132C22⋊Q8—1581no—
1133C22⋊Q8—1581no—
1134C22⋊Q8—1581no—
1135C22⋊Q8—1581no—
1136C22⋊Q8—1581no—
1137C22⋊Q8—1581no—
1138C22⋊Q8—1581no—
1139C22⋊Q8—1581no—
1140#121—21no—
1141#121—21no—
1142#121—791no—
1143#121—791no—
1144#121—791no—
1145#121—791no—
1146#121—791no—
1147#121—791no—
1148#121—1581no—
1149#121—1581no—
1150#121—1581no—
1151#121—1581no—
1152#121—1581no—
1153#121—1581no—
1154#121—1581no—
1155#121—1581no—
1156#121—1581no—
1157#121—1581no—
1158#121C22×D7911yescharacteristic
1159#121C22×D7911yescharacteristic
1160#120—1581no—
1161#120—1581no—
1162#120—1581no—
1163#120—1581no—
1164C4×Q8—791no—
1165C4×Q8—791no—
1166C4×Q8—1581no—
1167C4×Q8—1581no—
1168C4×Q8—1581no—
1169C4×Q8—1581no—
1170C4×Q8—1581no—
1171C4×Q8—1581no—
1172C4×Q8—1581no—
1173C4×Q8—1581no—
1174C4×Q8—1581no—
1175C4×Q8—1581no—
1176C4×D4—791no—
1177C4×D4—791no—
1178C4×D4—791no—
1179C4×D4—791no—
1180C4×D4—791no—
1181C4×D4—791no—
1182C4×D4—791no—
1183C4×D4—791no—
1184C4×D4—791no—
1185C4×D4—791no—
1186C4×D4—791no—
1187C4×D4—791no—
1188C4×D4—1581no—
1189C4×D4—1581no—
1190C4×D4—1581no—
1191C4×D4—1581no—
1192C4×D4—1581no—
1193C4×D4—1581no—
1194C4×D4—1581no—
1195C4×D4—1581no—
1196C4×D4—1581no—
1197C4×D4—1581no—
1198C4×D4—1581no—
1199C4×D4—1581no—
1200C4×D4—1581no—
1201C4×D4—1581no—
1202C4×D4C22×D7911yescharacteristic
1203C4×D4C22×D7911yescharacteristic
1204#117—791no—
1205#117—791no—
1206#117—791no—
1207#117—791no—
1208#117—791no—
1209#117—791no—
1210#117—791no—
1211#117—791no—
1212#117—791no—
1213#117C22×D7911yescharacteristic
1214#117C22×D7911yescharacteristic
1215C2×C4⋊C4—791no—
1216C2×C4⋊C4—791no—
1217C2×C4⋊C4—791no—
1218C2×C4⋊C4—791no—
1219C2×C4⋊C4—791no—
1220C2×C4⋊C4—1581no—
1221C2×C4⋊C4—1581no—
1222C2×C4⋊C4—1581no—
1223C2×C4⋊C4C22×D7911yescharacteristic
1224C2×C22⋊C4—1581no—
1225C2×C22⋊C4—1581no—
1226C2×C22⋊C4—1581no—
1227C2×C22⋊C4—1581no—
1228C2×C42—791no—
1229C2×C42—791no—
1230C2×C42—791no—
1231#107—791no—
1232#107—791no—
1233#107—791no—
1234#107—791no—
1235#107—791no—
1236#107—791no—
1237#107—791no—
1238#107—791no—
1239#107—791no—
1240#107—791no—
1241#107—791no—
1242#107—791no—
1243#107C22×D7911yescharacteristic
1244#107C22×D7911yescharacteristic
1245#107C22×D7911yescharacteristic
1246#107C22×D7911yescharacteristic
1247#106—791no—
1248#106—791no—
1249#106—791no—
1250#106—791no—
1251#106—791no—
1252#106—791no—
1253#106—791no—
1254#106—791no—
1255#106—791no—
1256#106—791no—
1257#106—791no—
1258#106—791no—
1259#106C22×D7911yescharacteristic
1260#106C22×D7911yescharacteristic
1261#106C22×D7911yescharacteristic
1262#106C22×D7911yescharacteristic
1263C4⋊C8—791no—
1264C4⋊C8—791no—
1265C4⋊C8—791no—
1266C4⋊C8—791no—
1267C4⋊C8—791no—
1268C4⋊C8—791no—
1269C4⋊C8C22×D7911yescharacteristic
1270C4⋊C8C22×D7911yescharacteristic
1271#102—791no—
1272#102—791no—
1273#102—791no—
1274#102—791no—
1275#102—791no—
1276#102—791no—
1277#102—791no—
1278#102—791no—
1279#102—791no—
1280#102—791no—
1281#102—791no—
1282#102—791no—
1283#102—791no—
1284#102—791no—
1285#102—791no—
1286#102—791no—
1287#102—791no—
1288#102—791no—
1289#102—791no—
1290#102—791no—
1291#102—791no—
1292#102—791no—
1293#102—791no—
1294#102—791no—
1295#102C22×D7911yescharacteristic
1296#102C22×D7911yescharacteristic
1297#102C22×D7911yescharacteristic
1298#102C22×D7911yescharacteristic
1299#102C22×D7911yescharacteristic
1300#102C22×D7911yescharacteristic
1301#102C22×D7911yescharacteristic
1302#102C22×D7911yescharacteristic
1303C22⋊C8—791no—
1304C22⋊C8—791no—
1305C22⋊C8—791no—
1306C22⋊C8—791no—
1307C22⋊C8—791no—
1308C22⋊C8—791no—
1309C22⋊C8C22×D7911yescharacteristic
1310C22⋊C8C22×D7911yescharacteristic
1311#97—791no—
1312#97C22×D7911yescharacteristic
1313C4×C8—791no—
1314C4×C8—791no—
1315C4×C8—791no—
1316C4×C8—791no—
1317C4×C8—791no—
1318C4×C8C22×D7911yescharacteristic
1319C24—1581no—
1320C24—1581no—
1321#41—6322no—
1322#41—6322no—
1323#41—6322no—
1324#41—6322no—
1325#41—1582no—
1326#41—1582no—
1327C2×Q8—21no—
1328C2×Q8—21no—
1329C2×Q8—791no—
1330C2×Q8—6322no—
1331C2×Q8—6322no—
1332C2×Q8—6322no—
1333C2×Q8—1581no—
1334C2×Q8—1581no—
1335C2×Q8—1581no—
1336C2×Q8—1581no—
1337C2×Q8—1581no—
1338C2×Q8—1581no—
1339C2×Q8—1581no—
1340C2×Q8—1581no—
1341C2×Q8—1581no—
1342C2×Q8—1581no—
1343C2×D4—21no—
1344C2×D4—21no—
1345C2×D4—21no—
1346C2×D4—21no—
1347C2×D4—791no—
1348C2×D4—791no—
1349C2×D4—791no—
1350C2×D4—791no—
1351C2×D4—791no—
1352C2×D4—6322no—
1353C2×D4—6322no—
1354C2×D4—1581no—
1355C2×D4—1581no—
1356C2×D4—1582no—
1357C2×D4—1582no—
1358C2×D4—1582no—
1359C2×D4—1582no—
1360C2×D4—1581no—
1361C2×D4—1581no—
1362C2×D4—1581no—
1363C2×D4—1581no—
1364C2×D4—1581no—
1365C2×D4—1581no—
1366C2×D4—1581no—
1367C2×D4—1581no—
1368C2×D4—1581no—
1369C2×D4—1581no—
1370C2×D4—1581no—
1371C2×D4—1581no—
1372C2×D4C23×D7911yescharacteristic
1373C2×D4C23×D7911yescharacteristic
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—791no—
1378C22×C4—791no—
1379C22×C4—791no—
1380C22×C4—791no—
1381C22×C4—791no—
1382C22×C4—791no—
1383C22×C4—791no—
1384C22×C4—791no—
1385C22×C4—1581no—
1386C22×C4—1581no—
1387C22×C4—1581no—
1388C22×C4—1581no—
1389C22×C4—1581no—
1390C22×C4—1581no—
1391C22×C4—1581no—
1392C22×C4—1581no—
1393C22×C4—1581no—
1394C22×C4—1581no—
1395C22×C4—1581no—
1396C22×C4C23×D7911yescharacteristic
1397M16—1582no—
1398M16—1582no—
1399C2×C8—791no—
1400C2×C8—791no—
1401C2×C8—791no—
1402C2×C8—791no—
1403C2×C8—1582no—
1404C2×C8—1582no—
1405C2×C8C23×D7911yescharacteristic
1406C2×C8C23×D7911yescharacteristic
1407C2×C8C23×D7911yescharacteristic
1408C2×C8C23×D7911yescharacteristic
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—791no—
1419C4⋊C4—791no—
1420C4⋊C4—791no—
1421C4⋊C4—791no—
1422C4⋊C4—791no—
1423C4⋊C4—791no—
1424C4⋊C4—791no—
1425C4⋊C4—791no—
1426C4⋊C4—791no—
1427C4⋊C4—791no—
1428C4⋊C4—1581no—
1429C4⋊C4—1581no—
1430C4⋊C4—1581no—
1431C4⋊C4—1581no—
1432C4⋊C4—1581no—
1433C4⋊C4—1581no—
1434C4⋊C4—1581no—
1435C4⋊C4—1581no—
1436C4⋊C4—1581no—
1437C4⋊C4—1581no—
1438C4⋊C4—1581no—
1439C4⋊C4—1581no—
1440C4⋊C4—1581no—
1441C4⋊C4—1581no—
1442C4⋊C4—1581no—
1443C4⋊C4—1581no—
1444C4⋊C4—1581no—
1445C4⋊C4—1581no—
1446C4⋊C4—1581no—
1447C4⋊C4—1581no—
1448C4⋊C4—1581no—
1449C4⋊C4—1581no—
1450C4⋊C4—1581no—
1451C4⋊C4—1581no—
1452C4⋊C4—1581no—
1453C4⋊C4D4×D7911yescharacteristic
1454C4⋊C4D4×D7911yescharacteristic
1455C4⋊C4C23×D7911yescharacteristic
1456C4⋊C4C23×D7911yescharacteristic
1457C4⋊C4C23×D7911yescharacteristic
1458C4⋊C4C23×D7911yescharacteristic
1459C4⋊C4C23×D7911yescharacteristic
1460C4⋊C4C23×D7911yescharacteristic
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—791no—
1467C22⋊C4—791no—
1468C22⋊C4—791no—
1469C22⋊C4—791no—
1470C22⋊C4—1581no—
1471C22⋊C4—1581no—
1472C22⋊C4—1581no—
1473C22⋊C4—1581no—
1474C22⋊C4—1581no—
1475C22⋊C4—1581no—
1476C22⋊C4—1581no—
1477C22⋊C4—1581no—
1478C22⋊C4—1581no—
1479C22⋊C4—1581no—
1480C22⋊C4—1581no—
1481C22⋊C4—1581no—
1482C22⋊C4—1581no—
1483C22⋊C4—1581no—
1484C22⋊C4—1581no—
1485C22⋊C4—1581no—
1486C22⋊C4—1581no—
1487C22⋊C4—1581no—
1488C22⋊C4—1581no—
1489C22⋊C4D4×D7911yescharacteristic
1490C22⋊C4D4×D7911yescharacteristic
1491C42—21no—
1492C42—791no—
1493C42—791no—
1494C42—791no—
1495C42—791no—
1496C42—791no—
1497C42—791no—
1498C42—791no—
1499C42—791no—
1500C42—1581no—
1501C42—1581no—
1502C42—1581no—
1503C42—1581no—
1504C42—1581no—
1505C42—1581no—
1506C42—1581no—
1507C42C23×D7911yescharacteristic
1508C42C23×D7911yescharacteristic
1509C23—21no—
1510C23—21no—
1511C23—3162no—
1512C23—3162no—
1513C23—791no—
1514C23—791no—
1515C23—6321no—
1516C23—6321no—
1517C23—6321no—
1518C23—6321no—
1519C23—1581no—
1520C23—1581no—
1521C23C2×D4×D7911yescharacteristic
1522Q8—81no—
1523Q8—81no—
1524Q8—3162no—
1525Q8—3162no—
1526Q8—3162no—
1527Q8—3162no—
1528Q8—3162no—
1529Q8—3162no—
1530Q8—6321no—
1531Q8—6321no—
1532Q8—6321no—
1533Q8—6321no—
1534Q8—1582no—
1535D4—21no—
1536D4—21no—
1537D4—21no—
1538D4—21no—
1539D4—81no—
1540D4—81no—
1541D4—81no—
1542D4—81no—
1543D4—3162no—
1544D4—3162no—
1545D4—3162no—
1546D4—3162no—
1547D4—3162no—
1548D4—3162no—
1549D4—6321no—
1550D4—6321no—
1551D4—6321no—
1552D4—6321no—
1553D4—6321no—
1554D4—6321no—
1555D4—6321no—
1556D4—6321no—
1557D4—1582no—
1558D4—1582no—
1559D4—1582no—
1560D4—1581no—
1561D4—1581no—
1562D4—1581no—
1563D4—1581no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—81no—
1573C2×C4—81no—
1574C2×C4—81no—
1575C2×C4—791no—
1576C2×C4—791no—
1577C2×C4—791no—
1578C2×C4—792no—
1579C2×C4—792no—
1580C2×C4—791no—
1581C2×C4—791no—
1582C2×C4—791no—
1583C2×C4—6321no—
1584C2×C4—6321no—
1585C2×C4—6321no—
1586C2×C4—6321no—
1587C2×C4—6321no—
1588C2×C4—6321no—
1589C2×C4—6321no—
1590C2×C4—6321no—
1591C2×C4—6321no—
1592C2×C4—6321no—
1593C2×C4—6321no—
1594C2×C4—1582no—
1595C2×C4—1582no—
1596C2×C4—1582no—
1597C2×C4—1582no—
1598C2×C4—1581no—
1599C2×C4—1581no—
1600C2×C4—1581no—
1601C2×C4—1581no—
1602C2×C4—1581no—
1603C2×C4—1581no—
1604C2×C4—1582no—
1605C2×C4—1582no—
1606C2×C4—1581no—
1607C2×C4—1581no—
1608C2×C4C2×D4×D7911yescharacteristic
1609C2×C4C2×D4×D7911yescharacteristic
1610C2×C4C2×D4×D7911yescharacteristic
1611C2×C4C2×D4×D7911yescharacteristic
1612C2×C4C2×D4×D7911yescharacteristic
1613C2×C4C24×D7911yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1581no—
1619C8—1581no—
1620C8—1581no—
1621C8—1581no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—3161no—
1632C22—3161no—
1633C22—3161no—
1634C22—3161no—
1635C22—3161no—
1636C22—3161no—
1637C22—792no—
1638C22—1581no—
1639C22—1581no—
1640C22—1581no—
1641C22—1581no—
1642C22—1581no—
1643C22—12642no—
1644C22—12642no—
1645C22C22×D4×D7911yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—3161no—
1658C4—3161no—
1659C4—3161no—
1660C4—3161no—
1661C4—3161no—
1662C4—3161no—
1663C4—792no—
1664C4—792no—
1665C4—792no—
1666C4—1581no—
1667C4—1581no—
1668C4—1581no—
1669C42−1+4×D7911yescharacteristic
1670C42−1+4×D7911yescharacteristic
1671C2—41no—
1672C2—81no—
1673C2—81no—
1674C2—3161no—
1675C2—6321no—
1676C2—6321no—
1677C2—1582no—
1678C2#536×D7911yescharacteristic
1679C2#576×D7911yescharacteristic
1680C2#577×D7911yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3241C2
socleC22×C79C23×D4
prime radical#23777272C2
hypercenter#3241D79
hypocenterC79#60877
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #117 ◁ #3241

Complements

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

NH ≅ G/Ntype
2. #23777215C2semidirect
3. #23774656C2semidirect
4. #23774655C2semidirect
5. #23774654C2semidirect
6. #23774653C2semidirect
7. #23774648C2semidirect
8. #23774647C2semidirect
9. #23774646C2semidirect
10. #23774535C2semidirect
11. #23774535C2semidirect
12. #23774534C2semidirect
13. #23774534C2semidirect
14. #23774527C2semidirect
15. #23774526C2semidirect
16. #23774520C2semidirect
17. #23774519C2semidirect
18. #23773945C2semidirect
19. #23773913C2semidirect
20. #23773773C2semidirect
21. #486×D79C2semidirect
22. #23773357C2semidirect
23. #23773355C2semidirect
24. #23773353C2semidirect
25. #23773351C2semidirect
26. #23773230C2semidirect
27. #23773228C2semidirect
28. #23773226C2semidirect
29. #23773224C2semidirect
30. #23772041C2semidirect
31. C79×#3241C2semidirect
49. #19099193C22semidirect
50. #19099191C22semidirect
52. #19099190C22semidirect
60. #19099119C22semidirect
61. #19099116C22semidirect
66. C2×#14579160C22semidirect
68. C4⋊Q8×D79C22semidirect
75. #19098973C22semidirect
76. #19098972C22semidirect
77. #19098969C22semidirect
78. #19098967C22semidirect
79. #19098967C22semidirect
80. #19098967C22semidirect
81. #19098967C22semidirect
82. #19098965C22semidirect
83. #19098962C22semidirect
84. #19098962C22semidirect
85. #19098960C22semidirect
86. #19098960C22semidirect
87. #19098960C22semidirect
88. #19098960C22semidirect
103. #19098890C22semidirect
104. #19098890C22semidirect
105. #19098889C22semidirect
106. #19098889C22semidirect
107. #19098888C22semidirect
108. #19098888C22semidirect
109. #19098887C22semidirect
110. #19098887C22semidirect
111. #19098886C22semidirect
112. #19098886C22semidirect
113. #19098885C22semidirect
114. #19098885C22semidirect
115. #19098884C22semidirect
116. #19098884C22semidirect
117. #19098883C22semidirect
118. #19098883C22semidirect
119. #19098882C22semidirect
120. #19098881C22semidirect
121. #19098880C22semidirect
122. #19098880C22semidirect
123. #19098879C22semidirect
124. #19098878C22semidirect
125. #19098878C22semidirect
126. #19098877C22semidirect
127. #19098876C22semidirect
128. #19098875C22semidirect
129. #19098875C22semidirect
130. #19098874C22semidirect
131. #19098866C22semidirect
132. #19098866C22semidirect
133. #19098865C22semidirect
134. #19098865C22semidirect
135. #19098864C22semidirect
136. #19098864C22semidirect
137. #19098863C22semidirect
138. #19098863C22semidirect
139. #19098862C22semidirect
140. #19098862C22semidirect
141. #19098861C22semidirect
142. #19098861C22semidirect
143. #19098860C22semidirect
144. #19098860C22semidirect
145. #19098854C22semidirect
146. #19098853C22semidirect
147. #19098852C22semidirect
148. #19098852C22semidirect
149. #19098851C22semidirect
150. #19098851C22semidirect
151. #19098850C22semidirect
152. #19098844C22semidirect
153. #19098843C22semidirect
154. #19098842C22semidirect
155. #19098842C22semidirect
156. #19098841C22semidirect
157. #19098841C22semidirect
158. #19098840C22semidirect
159. #19098625C22semidirect
160. #19098624C22semidirect
161. #19098622C22semidirect
162. #19098615C22semidirect
163. #19098615C22semidirect
164. #19098613C22semidirect
165. #19098613C22semidirect
188. #544×C79C22semidirect
190. #501×C79C22semidirect
191. #499×C79C22semidirect
194. #482×C79C22semidirect
195. #482×C79C22semidirect
196. #481×C79C22semidirect
197. #480×C79C22semidirect
198. #478×C79C22semidirect
199. #478×C79C22semidirect
200. #476×C79C22semidirect
201. #474×C79C22semidirect
202. #433×C79C22semidirect
850. #3241D79semidirect
872. C79#60877semidirect
894. #544C2×D79semidirect
921. #501C2×D79semidirect
929. #499C2×D79semidirect
964. #482C2×D79semidirect
965. #482C2×D79semidirect
973. #481C2×D79semidirect
981. #480C2×D79semidirect
996. #478C2×D79semidirect
997. #478C2×D79semidirect
1005. #476C2×D79semidirect
1013. #474C2×D79semidirect
1017. #433C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237772722
#237772152
#237746562
#237746552
#237746542
#237746532
#237746482
#237746472
#237746462
#237745352
#237745342
#237745272
#237745262
#237745202
#237745192
#237739452
#237739132
#237737732
#486×D792
#237733572
#237733552
#237733532
#237733512
#237732302
#237732282
#237732262
#237732242
#237720412
C79×#32412
#6087779