Finite Group Databasebeta

← #35160658

Subgroups — #35160658

Order 20224.

1742 conjugacy classes of subgroups.

The subgroup lattice has 1652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777133C211yesmaximal, characteristic
2#544×D79C211yesmaximal, characteristic, complemented
3#23774689C211yesmaximal, characteristic, complemented
4#23774687C211yesmaximal, characteristic, complemented
5#23774677C211yesmaximal, characteristic, complemented
6#23774655C211yesmaximal, characteristic, complemented
7#23774653C211yesmaximal, characteristic, complemented
8#23774651C211yesmaximal, characteristic, complemented
9#23774649C211yesmaximal, characteristic, complemented
10#23774625C211yesmaximal, characteristic, complemented
11#23774617C211yesmaximal, characteristic, complemented
12#23774591C211yesmaximal, characteristic, complemented
13#23774588C211yesmaximal, characteristic, complemented
14#23774572C211yesmaximal, characteristic, complemented
15#23774563C211yesmaximal, characteristic, complemented
16#23774522C211yesmaximal, characteristic, complemented
17#23774520C211yesmaximal, characteristic, complemented
18#23773935C211yesmaximal, characteristic, complemented
19#23773933C211yesmaximal, characteristic, complemented
20#23773753C211yesmaximal, characteristic, complemented
21#23773751C211yesmaximal, characteristic, complemented
22#23773339C211yesmaximal, characteristic, complemented
23#23773327C211yesmaximal, characteristic, complemented
24#23773318C211yesmaximal, characteristic, complemented
25#480×D79C211yesmaximal, characteristic, complemented
26#23773254C211yesmaximal, characteristic, complemented
27#23773248C211yesmaximal, characteristic, complemented
28#23773230C211yesmaximal, characteristic, complemented
29#23773224C211yesmaximal, characteristic, complemented
30#23772056C211yesmaximal, characteristic, complemented
31C79×#3243C211yesmaximal, characteristic, complemented
32#19099275—21no—
33#19099264—21no—
34#19099258—21no—
35#19099240—21no—
36#19099238—21no—
37#19099215—21no—
38#19099206—21no—
39#19099205—21no—
40#19099194C2211yescharacteristic, complemented
41#19099193—21no—
42#19099193C2211yescharacteristic
43#19099193C2211yescharacteristic
44#19099192—21no—
45#19099192—21no—
46#19099191C2211yescharacteristic, complemented
47#19099191C2211yescharacteristic, complemented
48#19099190—21no—
49#19099190C2211yescharacteristic
50#19099190C2211yescharacteristic
51#19099190C2211yescharacteristic
52#19099186C2211yescharacteristic
53#19099168C2211yescharacteristic
54#19099166C2211yescharacteristic
55#19099131C2211yescharacteristic
56#19099114C2211yescharacteristic
57#19099110C2211yescharacteristic
58C4⋊Q8×D79—21no—
59C4⋊Q8×D79C2211yescharacteristic, complemented
60C4⋊Q8×D79C2211yescharacteristic, complemented
61#19099100C2211yescharacteristic
62#19099092C2211yescharacteristic
63#125×D79—21no—
64#125×D79C2211yescharacteristic, complemented
65#125×D79C2211yescharacteristic, complemented
66#19099076C2211yescharacteristic
67C22⋊Q8×D79—21no—
68C22⋊Q8×D79—21no—
69#121×D79C2211yescharacteristic
70#19099045C2211yescharacteristic
71#19099035C2211yescharacteristic
72#117×D79C2211yescharacteristic
73#117×D79C2211yescharacteristic
74C2×C4⋊C4×D79C2211yescharacteristic
75#19098972C2211yescharacteristic, complemented
76#19098971C2211yescharacteristic, complemented
77#19098971C2211yescharacteristic, complemented
78#19098971C2211yescharacteristic, complemented
79#19098970C2211yescharacteristic, complemented
80#19098969C2211yescharacteristic, complemented
81#19098969C2211yescharacteristic, complemented
82#19098967C2211yescharacteristic, complemented
83#19098967C2211yescharacteristic, complemented
84#19098966C2211yescharacteristic, complemented
85#19098965C2211yescharacteristic, complemented
86#19098964C2211yescharacteristic, complemented
87#19098963C2211yescharacteristic, complemented
88#19098962C2211yescharacteristic, complemented
89#19098929C2211yescharacteristic, complemented
90#19098928C2211yescharacteristic, complemented
91#19098926C2211yescharacteristic, complemented
92#19098926C2211yescharacteristic, complemented
93#19098924C2211yescharacteristic, complemented
94#19098924C2211yescharacteristic, complemented
95#19098922C2211yescharacteristic, complemented
96#19098919C2211yescharacteristic, complemented
97#19098919C2211yescharacteristic, complemented
98#19098917C2211yescharacteristic, complemented
99#19098911C2211yescharacteristic, complemented
100#19098910C2211yescharacteristic, complemented
101#19098908C2211yescharacteristic, complemented
102#19098908C2211yescharacteristic, complemented
103#19098901C2211yescharacteristic, complemented
104#19098897C2211yescharacteristic, complemented
105#19098896C2211yescharacteristic, complemented
106#19098892C2211yescharacteristic, complemented
107#19098892C2211yescharacteristic, complemented
108#19098892C2211yescharacteristic, complemented
109#19098888C2211yescharacteristic
110#19098888C2211yescharacteristic, complemented
111#19098887C2211yescharacteristic
112#19098887C2211yescharacteristic, complemented
113#19098884C2211yescharacteristic
114#19098883C2211yescharacteristic
115#19098883C2211yescharacteristic, complemented
116#19098882C2211yescharacteristic, complemented
117#19098881C2211yescharacteristic, complemented
118#19098880C2211yescharacteristic
119#19098878C2211yescharacteristic
120#19098878C2211yescharacteristic
121#19098878C2211yescharacteristic
122#19098878C2211yescharacteristic, complemented
123#19098878C2211yescharacteristic, complemented
124#19098878C2211yescharacteristic, complemented
125#19098877C2211yescharacteristic
126#19098876C2211yescharacteristic
127#19098875C2211yescharacteristic
128#19098875C2211yescharacteristic
129#19098875C2211yescharacteristic
130#19098874C2211yescharacteristic
131#19098872C2211yescharacteristic, complemented
132#19098870C2211yescharacteristic, complemented
133#19098868C2211yescharacteristic, complemented
134#19098866C2211yescharacteristic, complemented
135#19098866C2211yescharacteristic, complemented
136#19098865C2211yescharacteristic, complemented
137#19098864C2211yescharacteristic, complemented
138#19098864C2211yescharacteristic, complemented
139#19098863C2211yescharacteristic, complemented
140#19098862C2211yescharacteristic, complemented
141#19098862C2211yescharacteristic, complemented
142#19098861C2211yescharacteristic, complemented
143#19098860C2211yescharacteristic, complemented
144#19098860C2211yescharacteristic, complemented
145#19098858C2211yescharacteristic, complemented
146#19098856C2211yescharacteristic, complemented
147#19098856C2211yescharacteristic, complemented
148#19098854C2211yescharacteristic, complemented
149#19098851C2211yescharacteristic, complemented
150#19098851C2211yescharacteristic, complemented
151#19098850C2211yescharacteristic, complemented
152#19098844C2211yescharacteristic, complemented
153#19098843C2211yescharacteristic, complemented
154#19098842C2211yescharacteristic, complemented
155#19098842C2211yescharacteristic, complemented
156#19098842C2211yescharacteristic, complemented
157#19098842C2211yescharacteristic, complemented
158#19098840C2211yescharacteristic, complemented
159#19098624C2211yescharacteristic, complemented
160#19098621C2211yescharacteristic, complemented
161#19098621C2211yescharacteristic, complemented
162#19098619C2211yescharacteristic, complemented
163#19098618C2211yescharacteristic, complemented
164#19098615C2211yescharacteristic, complemented
165#19098614C2211yescharacteristic, complemented
166#19098604C2211yescharacteristic
167#19098604C2211yescharacteristic
168#19098604C2211yescharacteristic
169#19098602C2211yescharacteristic
170#19098600C2211yescharacteristic
171#19098598C2211yescharacteristic
172#107×D79C2211yescharacteristic
173#107×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#19098520C2211yescharacteristic
187#19098517C2211yescharacteristic
188#544×C79C2211yescharacteristic, complemented
189#542×C79C2211yescharacteristic
190#501×C79C2211yescharacteristic, complemented
191#500×C79C2211yescharacteristic, complemented
192#489×C79C2211yescharacteristic, complemented
193#488×C79C2211yescharacteristic, complemented
194#485×C79C2211yescharacteristic, complemented
195#484×C79C2211yescharacteristic, complemented
196#482×C79C2211yescharacteristic
197#480×C79C2211yescharacteristic
198#479×C79C2211yescharacteristic, complemented
199#478×C79C2211yescharacteristic, complemented
200#477×C79C2211yescharacteristic, complemented
201#474×C79C2211yescharacteristic, complemented
202#433×C79C2211yescharacteristic, complemented
203C2×#11929625—21no—
204C2×#11929625C2311yescharacteristic
205C2×#11929624—21no—
206C2×Q8×D79—21no—
207C2×Q8×D79—21no—
208C2×D4×D79—21no—
209C2×D4×D79C2311yescharacteristic
210C22×C4×D79—21no—
211C22×C4×D79C2311yescharacteristic
212C2×#11929607C2311yescharacteristic
213C2×#11929607C2311yescharacteristic
214C2×C8×D79C2311yescharacteristic
215C2×C8×D79C2311yescharacteristic
216#14579161—21no—
217#14579161C2311yescharacteristic
218#14579161C2311yescharacteristic
219#14579160—21no—
220#14579160—21no—
221#14579160—21no—
222#14579160—21no—
223#14579160—21no—
224#14579160—21no—
225#14579160C2311yescharacteristic
226#14579160C2311yescharacteristic
227#14579160C2311yescharacteristic
228#14579160C2311yescharacteristic
229#14579160C2311yescharacteristic
230#14579159—21no—
231#14579159—21no—
232#14579159—21no—
233#14579159—21no—
234#14579159—21no—
235#14579158C2311yescharacteristic
236#14579157C2311yescharacteristic
237#14579156—21no—
238#14579156—21no—
239#14579154—21no—
240#14579153—21no—
241#14579153C2311yescharacteristic
242#14579153C2311yescharacteristic
243#14579153C2311yescharacteristic
244#14579152—21no—
245#14579152—21no—
246#14579152C2311yescharacteristic
247#14579152C2311yescharacteristic
248#14579152C2311yescharacteristic
249#14579152C2311yescharacteristic
250#14579152C2311yescharacteristic
251#14579151—21no—
252#14579151—21no—
253#14579151—21no—
254#14579151—21no—
255#14579151—21no—
256#14579151—21no—
257#14579151—21no—
258#14579151—21no—
259#14579151—21no—
260#14579150—21no—
261#14579150C2311yescharacteristic
262#14579147—21no—
263#14579147—21no—
264#14579146—21no—
265#14579146—21no—
266#14579146—21no—
267#14579146—21no—
268#14579145—21no—
269#14579143—21no—
270#14579143—21no—
271#14579143—21no—
272#14579141—21no—
273#14579141—21no—
274#14579141—21no—
275#14579140—21no—
276#14579140—21no—
277#14579139—21no—
278#14579139—21no—
279#14579139—21no—
280#14579139—21no—
281#14579139—21no—
282#14579138—21no—
283#14579138—21no—
284#14579138—21no—
285#14579138—21no—
286#14579137—21no—
287#14579137—21no—
288#14579137—21no—
289#14579137C2311yescharacteristic
290#14579136—21no—
291#14579136C2311yescharacteristic
292#14579136C2311yescharacteristic
293#14579135C2311yescharacteristic
294#14579135C2311yescharacteristic
295#14579134—21no—
296#14579134—21no—
297#14579134—21no—
298#14579134—21no—
299#14579134—21no—
300#14579134—21no—
301#14579133—21no—
302#14579133—21no—
303#14579132—21no—
304#14579132C2311yescharacteristic
305#14579131—21no—
306#14579131—21no—
307#14579131—21no—
308Q8×Dic79C2311yescharacteristic
309C4×D316—21no—
310C4×D316—21no—
311C4×D316C2311yescharacteristic
312C4×D316C2311yescharacteristic
313D4×Dic79C2311yescharacteristic
314#14579123—21no—
315#14579123—21no—
316#14579123—21no—
317#14579123C2311yescharacteristic
318#14579123C2311yescharacteristic
319C4×C22⋊D79—21no—
320C4×C22⋊D79—21no—
321(C22⋊D79)⋊C4—21no—
322(C22⋊D79)⋊C4—21no—
323(C22⋊D79)⋊C4—21no—
324#14579120C2311yescharacteristic
325#14579120C2311yescharacteristic
326#14579119D411yescharacteristic
327#14579119D411yescharacteristic
328#14579119C2311yescharacteristic
329#14579119C2311yescharacteristic
330#14579119C2311yescharacteristic
331#14579118—21no—
332#14579118—21no—
333#14579118—21no—
334#14579118C2311yescharacteristic
335#14579118C2311yescharacteristic
336#14579117—21no—
337#14579117—21no—
338#14579117D411yescharacteristic
339#14579117D411yescharacteristic
340C2×C4⋊Dic79C2311yescharacteristic
341C2×Dic79⋊C4—21no—
342C4⋊C4×D79—21no—
343C4⋊C4×D79—21no—
344C4⋊C4×D79—21no—
345C4⋊C4×D79—21no—
346C4⋊C4×D79—21no—
347C4⋊C4×D79—21no—
348C4⋊C4×D79—21no—
349C4⋊C4×D79—21no—
350C4⋊C4×D79—21no—
351C4⋊C4×D79D411yescharacteristic
352C4⋊C4×D79D411yescharacteristic
353C4⋊C4×D79C2311yescharacteristic
354C4⋊C4×D79C2311yescharacteristic
355C4⋊C4×D79C2311yescharacteristic
356C4⋊C4×D79C2311yescharacteristic
357C4⋊C4×D79C2311yescharacteristic
358C4⋊C4×D79C2311yescharacteristic
359C4⋊C4×D79C2311yescharacteristic
360C2×(C2×D79)⋊C4—21no—
361C22⋊C4×D79—21no—
362C22⋊C4×D79—21no—
363C22⋊C4×D79—21no—
364C22⋊C4×D79D411yescharacteristic
365C22⋊C4×D79D411yescharacteristic
366C42×D79—21no—
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#14579094C2311yescharacteristic
382#14579094C2311yescharacteristic
383#14579093C2311yescharacteristic
384#14579093C2311yescharacteristic
385#14579093C2311yescharacteristic
386#14579093C2311yescharacteristic
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#14579071C2311yescharacteristic
431#14579071C2311yescharacteristic
432C4×C79⋊C8C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C4⋊Q8×C79—21no—
436C4⋊Q8×C79C2311yescharacteristic
437C4⋊Q8×C79C2311yescharacteristic
438C4⋊Q8×C79C2311yescharacteristic
439#126×C79—21no—
440#125×C79—21no—
441#125×C79C2311yescharacteristic
442#125×C79C2311yescharacteristic
443#124×C79—21no—
444#124×C79C2311yescharacteristic
445#123×C79—21no—
446C22⋊Q8×C79—21no—
447C22⋊Q8×C79—21no—
448C22⋊Q8×C79—21no—
449C22⋊Q8×C79C2311yescharacteristic
450#121×C79C2311yescharacteristic
451C4×Q8×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#107×C79C2311yescharacteristic
461#107×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
476#97×C79C2311yescharacteristic
477C4×C8×C79C2311yescharacteristic
478C23×D79—21no—
479C23×D79C2×D411yescharacteristic
480#11929625—22no—
481#11929625—22no—
482#11929625—82no—
483#11929624—82no—
484C2×Dic158—21no—
485C2×Dic158—21no—
486C2×Dic158—21no—
487C2×Dic158—21no—
488C2×Dic158—21no—
489C2×Dic158—21no—
490C2×Dic158—21no—
491Q8×D79—82no—
492Q8×D79—82no—
493C2×D316—21no—
494C2×D316—21no—
495C2×D316—21no—
496C2×D316—21no—
497C2×D316—21no—
498C2×D316C2411yescharacteristic
499C2×D316C2411yescharacteristic
500C2×C22⋊D79—21no—
501C2×C22⋊D79—21no—
502C2×C22⋊D79—21no—
503C2×C22⋊D79—21no—
504C2×C22⋊D79—21no—
505C2×C22⋊D79—21no—
506D4×D79—22no—
507D4×D79—22no—
508D4×D79—82no—
509C22×Dic79—21no—
510C22×Dic79—21no—
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×D79—21no—
525C2×C4×D79—21no—
526C2×C4×D79—82no—
527C2×C4×D79C2×D411yescharacteristic
528C2×C4×D79C2×D411yescharacteristic
529C2×C4×D79C2×D411yescharacteristic
530C2×C4×D79C2×D411yescharacteristic
531C2×C4×D79C2×D411yescharacteristic
532C2×C4×D79C2×D411yescharacteristic
533C2×C4×D79C2411yescharacteristic
534C2×C4×D79C2411yescharacteristic
535#11929607—22no—
536#11929607—22no—
537C2×C79⋊C8C2411yescharacteristic
538C2×C79⋊C8C2411yescharacteristic
539C2×C79⋊C8C2411yescharacteristic
540C2×C79⋊C8C2411yescharacteristic
541C8×D79—22no—
542C8×D79—22no—
543C4⋊Dic79—21no—
544C4⋊Dic79—21no—
545C4⋊Dic79—21no—
546C4⋊Dic79—21no—
547C4⋊Dic79—21no—
548C4⋊Dic79—21no—
549C4⋊Dic79—21no—
550C4⋊Dic79—21no—
551C4⋊Dic79—21no—
552C4⋊Dic79C2×D411yescharacteristic
553C4⋊Dic79C2×D411yescharacteristic
554C4⋊Dic79C2411yescharacteristic
555C4⋊Dic79C2411yescharacteristic
556C4⋊Dic79C2411yescharacteristic
557C4⋊Dic79C2411yescharacteristic
558C4⋊Dic79C2411yescharacteristic
559C4⋊Dic79C2411yescharacteristic
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⋊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⋊C4—21no—
584Dic79⋊C4C2×D411yescharacteristic
585Dic79⋊C4C2×D411yescharacteristic
586Dic79⋊C4C2×D411yescharacteristic
587Dic79⋊C4C2×D411yescharacteristic
588C22⋊Dic79—21no—
589C22⋊Dic79—21no—
590C22⋊Dic79—21no—
591C22⋊Dic79C2×D411yescharacteristic
592C22⋊Dic79C2×D411yescharacteristic
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)⋊C4—21no—
607(C2×D79)⋊C4C2×D411yescharacteristic
608(C2×D79)⋊C4C2×D411yescharacteristic
609(C2×D79)⋊C4C2×D411yescharacteristic
610(C2×D79)⋊C4C2×D411yescharacteristic
611C4×Dic79—21no—
612C4×Dic79—21no—
613C4×Dic79—21no—
614C4×Dic79—21no—
615C4×Dic79—21no—
616C4×Dic79C2×D411yescharacteristic
617C4×Dic79C2×D411yescharacteristic
618C4×Dic79C2×D411yescharacteristic
619C4×Dic79C2×D411yescharacteristic
620C4×Dic79C2411yescharacteristic
621C4×Dic79C2411yescharacteristic
622C2×Q8×C79—21no—
623C2×Q8×C79—21no—
624C2×Q8×C79—21no—
625C2×Q8×C79C2411yescharacteristic
626C2×D4×C79—21no—
627C2×D4×C79C2411yescharacteristic
628C22×C4×C79—21no—
629C22×C4×C79—21no—
630C22×C4×C79C2411yescharacteristic
631C2×C8×C79C2411yescharacteristic
632C2×C8×C79C2411yescharacteristic
633C2×C8×C79C2411yescharacteristic
634C2×C8×C79C2411yescharacteristic
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×C79—21no—
643C4⋊C4×C79—21no—
644C4⋊C4×C79—21no—
645C4⋊C4×C79C2×D411yescharacteristic
646C4⋊C4×C79C2×D411yescharacteristic
647C4⋊C4×C79C2411yescharacteristic
648C4⋊C4×C79C2411yescharacteristic
649C4⋊C4×C79C2411yescharacteristic
650C4⋊C4×C79C2411yescharacteristic
651C4⋊C4×C79C2411yescharacteristic
652C4⋊C4×C79C2411yescharacteristic
653C22⋊C4×C79—21no—
654C22⋊C4×C79—21no—
655C22⋊C4×C79—21no—
656C22⋊C4×C79—21no—
657C22⋊C4×C79—21no—
658C22⋊C4×C79—21no—
659C22⋊C4×C79C2×D411yescharacteristic
660C22⋊C4×C79C2×D411yescharacteristic
661C42×C79—21no—
662C42×C79—21no—
663C42×C79C2411yescharacteristic
664C42×C79C2411yescharacteristic
665C23×C79—21no—
666C23×C79C22×D411yescharacteristic
667C22×D79—22no—
668C22×D79—22no—
669C22×D79—21no—
670C22×D79—21no—
671C22×D79—41no—
672C22×D79—42no—
673C22×D79—81no—
674C22×D79—81no—
675C22×D79C22×D411yescharacteristic
676C22×D79C22×D411yescharacteristic
677Q8×C79—21no—
678Q8×C79—21no—
679Q8×C79—81no—
680Q8×C79—81no—
681Q8×C79—81no—
682D4×C79—21no—
683D4×C79—21no—
684D4×C79—81no—
685C2×C4×C79—21no—
686C2×C4×C79—21no—
687C2×C4×C79—21no—
688C2×C4×C79—21no—
689C2×C4×C79—21no—
690C2×C4×C79—21no—
691C2×C4×C79—21no—
692C2×C4×C79—21no—
693C2×C4×C79—21no—
694C2×C4×C79—81no—
695C2×C4×C79—81no—
696C2×C4×C79C22×D411yescharacteristic
697C2×C4×C79C22×D411yescharacteristic
698C2×C4×C79C22×D411yescharacteristic
699C2×C4×C79C22×D411yescharacteristic
700C2×C4×C79C22×D411yescharacteristic
701C2×C4×C79C2511yescharacteristic
702C22⋊D79—42no—
703C22⋊D79—42no—
704C22⋊D79—81no—
705C22⋊D79—81no—
706C22⋊D79—81no—
707C22⋊D79—81no—
708C2×Dic79—22no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—21no—
713C2×Dic79—21no—
714C2×Dic79—21no—
715C2×Dic79—81no—
716C2×Dic79—81no—
717C2×Dic79C22×D411yescharacteristic
718C2×Dic79C22×D411yescharacteristic
719C2×Dic79C22×D411yescharacteristic
720C2×Dic79C22×D411yescharacteristic
721C2×Dic79C22×D411yescharacteristic
722C2×Dic79C22×D411yescharacteristic
723D316—21no—
724D316—21no—
725D316—21no—
726D316—21no—
727D316—42no—
728D316—42no—
729D316—42no—
730D316—81no—
731D316—81no—
732C4×D79—22no—
733C4×D79—22no—
734C4×D79—22no—
735C4×D79—21no—
736C4×D79—21no—
737C4×D79—22no—
738C4×D79—41no—
739C4×D79—41no—
740C4×D79—42no—
741C4×D79—42no—
742C4×D79—42no—
743C4×D79—42no—
744C4×D79—42no—
745C4×D79—81no—
746C4×D79—81no—
747C4×D79—81no—
748C4×D79—81no—
749C4×D79—81no—
750C4×D79—81no—
751C4×D79—81no—
752C4×D792−1+412yes—
753C4×D792−1+412yes—
754Dic158—81no—
755Dic158—81no—
756Dic158—81no—
757Dic158—81no—
758Dic158—81no—
759Dic158—81no—
760Dic158—81no—
761C8×C79—21no—
762C8×C79—21no—
763C8×C79—21no—
764C8×C79—21no—
765C79⋊C8—21no—
766C79⋊C8—21no—
767C79⋊C8—21no—
768C79⋊C8—21no—
769C22×C79—21no—
770C22×C79—21no—
771C22×C79—21no—
772C22×C79—41no—
773C22×C79—41no—
774C22×C79—41no—
775C22×C79C23×D411yescharacteristic
776C2×D79—21no—
777C2×D79—21no—
778C2×D79—21no—
779C2×D79—21no—
780C2×D79—44no—
781C2×D79—41no—
782C2×D79—41no—
783C2×D79—41no—
784C2×D79—41no—
785C2×D79—41no—
786C2×D79—41no—
787C2×D79—162no—
788C2×D79#53612yes—
789C2×D79#57612yes—
790C4×C79—21no—
791C4×C79—21no—
792C4×C79—21no—
793C4×C79—21no—
794C4×C79—21no—
795C4×C79—41no—
796C4×C79—41no—
797C4×C79—41no—
798C4×C79—41no—
799C4×C79—41no—
800C4×C79—41no—
801C4×C79—41no—
802C4×C79C2×2−1+411yescharacteristic
803C4×C79C2×2−1+411yescharacteristic
804Dic79—21no—
805Dic79—21no—
806Dic79—21no—
807Dic79—21no—
808Dic79—21no—
809Dic79—41no—
810Dic79—41no—
811Dic79—41no—
812Dic79—41no—
813Dic79—41no—
814Dic79—41no—
815Dic79#53612yes—
816#60871—791nomaximal, Sylow
817C2×C79—41no—
818C2×C79—81no—
819C2×C79C2×#53611yescharacteristic
820C2×C79C2×#57611yescharacteristic
821C2×C79#358611yescharacteristic
822D79—22no—
823D79—22no—
824D79—81no—
825D79—81no—
826#3494—791no—
827C2×#544—791no—
828#3243—791no—
829#3243—791no—
830#3243—791no—
831#3243D7911yescharacteristic, complemented
832#3241—791no—
833#3241—791no—
834#3241—791no—
835#3241—791no—
836#3238—791no—
837#3238—791no—
838#3234—791no—
839#3234—791no—
840#3232—791no—
841#3232—791no—
842#3226—791no—
843#3226—791no—
844#3164—791no—
845#3164—791no—
846#3136—791no—
847#3136—791no—
848#3094—791no—
849#3092—791no—
850#3091—791no—
851C2×#480—791no—
852#3083—791no—
853#3083—791no—
854#3081—791no—
855#3081—791no—
856#2924—791no—
857C79#6087111yescharacteristic, complemented, Sylow
858#555—1581no—
859#553—1581no—
860#553—1581no—
861#551—1581no—
862#551—1581no—
863#547—1581no—
864#546—1581no—
865#546—1581no—
866#544—791no—
867#544—791no—
868#544—791no—
869#544—791no—
870#544—791no—
871#544—791no—
872#544—791no—
873#544—791no—
874#544—1581no—
875#544—1581no—
876#544—1581no—
877#544—1581no—
878#544C2×D7911yescharacteristic, complemented
879#542—791no—
880#542C2×D7911yescharacteristic
881#540—791no—
882#540—791no—
883#535—791no—
884#532—791no—
885#532—791no—
886C2×C4⋊Q8—791no—
887C2×C4⋊Q8—791no—
888C2×C4⋊Q8—1581no—
889#529—791no—
890#529—791no—
891C2×#125—791no—
892C2×#125—791no—
893C2×#125—1581no—
894#525—791no—
895C2×C22⋊Q8—1581no—
896C2×C22⋊Q8—1581no—
897C2×#121—791no—
898#520—791no—
899#518—791no—
900C2×#117—791no—
901C2×#117—791no—
902C22×C4⋊C4—791no—
903#501—791no—
904#501—791no—
905#501—791no—
906#501—791no—
907#501—791no—
908#501—791no—
909#501—791no—
910#501C2×D7911yescharacteristic, complemented
911#500—791no—
912#500—791no—
913#500—791no—
914#500C2×D7911yescharacteristic, complemented
915#499—791no—
916#499—791no—
917#499—791no—
918#499—791no—
919#490—791no—
920#490—791no—
921#490—791no—
922#490—791no—
923#489—791no—
924#489—791no—
925#489—791no—
926#489C2×D7911yescharacteristic, complemented
927#488—791no—
928#488—791no—
929#488—791no—
930#488C2×D7911yescharacteristic, complemented
931#486—791no—
932#486—791no—
933#486—791no—
934#486—791no—
935#485—791no—
936#485C2×D7911yescharacteristic, complemented
937#484—791no—
938#484—791no—
939#484C2×D7911yescharacteristic, complemented
940#483—791no—
941#483—791no—
942#483—791no—
943#482—791no—
944#482—791no—
945#482—791no—
946#482—791no—
947#482—791no—
948#482C2×D7911yescharacteristic
949#481—791no—
950#481—791no—
951#481—791no—
952#481—791no—
953#481—791no—
954#480—791no—
955#480—791no—
956#480—791no—
957#480—791no—
958#480—791no—
959#480—791no—
960#480—791no—
961#480—791no—
962#480—791no—
963#480—791no—
964#480—791no—
965#480—791no—
966#480C2×D7911yescharacteristic
967#479—791no—
968#479—791no—
969#479—791no—
970#479C2×D7911yescharacteristic, complemented
971#478—791no—
972#478—791no—
973#478—791no—
974#478—791no—
975#478—791no—
976#478—791no—
977#478—791no—
978#478—791no—
979#478—791no—
980#478—791no—
981#478—791no—
982#478C2×D7911yescharacteristic, complemented
983#477—791no—
984#477—791no—
985#477—791no—
986#477C2×D7911yescharacteristic, complemented
987#476—791no—
988#476—791no—
989#476—791no—
990#476—791no—
991#474—791no—
992#474—791no—
993#474—791no—
994#474—791no—
995#474—791no—
996#474—791no—
997#474—791no—
998#474C2×D7911yescharacteristic, complemented
999#433—791no—
1000#433—791no—
1001#433—791no—
1002#433C2×D7911yescharacteristic, complemented
1003#432—791no—
1004#432—791no—
1005#431—791no—
1006#431—791no—
1007#428—791no—
1008#428—791no—
1009#428—791no—
1010#428—791no—
1011#427—791no—
1012#427—791no—
1013C2×#107—791no—
1014C2×#107—791no—
1015#424—791no—
1016#424—791no—
1017#418—791no—
1018#418—791no—
1019#417—791no—
1020#417—791no—
1021#416—791no—
1022#416—791no—
1023C2×#102—791no—
1024C2×#102—791no—
1025#407—791no—
1026C2×C22⋊C8—791no—
1027#405—791no—
1028#405—791no—
1029C2×#41—791no—
1030C2×#41—1581no—
1031C2×#41—1581no—
1032C22×Q8—1581no—
1033C22×Q8—1581no—
1034C22×D4—791no—
1035C22×D4—1581no—
1036C23×C4—791no—
1037C23×C4—1581no—
1038C2×M16—791no—
1039C2×M16—791no—
1040C22×C8—791no—
1041C22×C8—791no—
1042C4⋊Q8—21no—
1043C4⋊Q8—791no—
1044C4⋊Q8—791no—
1045C4⋊Q8—791no—
1046C4⋊Q8—791no—
1047C4⋊Q8—791no—
1048C4⋊Q8—791no—
1049C4⋊Q8—791no—
1050C4⋊Q8—1581no—
1051C4⋊Q8—1581no—
1052C4⋊Q8—1581no—
1053C4⋊Q8—1581no—
1054C4⋊Q8—1581no—
1055C4⋊Q8—1581no—
1056C4⋊Q8—1581no—
1057C4⋊Q8—1581no—
1058C4⋊Q8—1581no—
1059C4⋊Q8—1581no—
1060C4⋊Q8—1581no—
1061C4⋊Q8—1581no—
1062C4⋊Q8C22×D7911yescharacteristic
1063C4⋊Q8C22×D7911yescharacteristic
1064C4⋊Q8C22×D7911yescharacteristic
1065#127—791no—
1066#127—791no—
1067#126—21no—
1068#126—1581no—
1069#126—1581no—
1070#126—1581no—
1071#125—21no—
1072#125—791no—
1073#125—791no—
1074#125—791no—
1075#125—791no—
1076#125—791no—
1077#125—791no—
1078#125—791no—
1079#125—791no—
1080#125—1581no—
1081#125—1581no—
1082#125—1581no—
1083#125—1581no—
1084#125—1581no—
1085#125—1581no—
1086#125—1581no—
1087#125—1581no—
1088#125—1581no—
1089#125—1581no—
1090#125—1581no—
1091#125—1581no—
1092#125C22×D7911yescharacteristic
1093#125C22×D7911yescharacteristic
1094#124—21no—
1095#124—791no—
1096#124—1581no—
1097#124—1581no—
1098#124—1581no—
1099#124C22×D7911yescharacteristic
1100#123—21no—
1101#123—1581no—
1102#123—1581no—
1103#123—1581no—
1104#123—1581no—
1105#123—1581no—
1106#123—1581no—
1107#123—1581no—
1108#123—1581no—
1109C22⋊Q8—21no—
1110C22⋊Q8—21no—
1111C22⋊Q8—21no—
1112C22⋊Q8—791no—
1113C22⋊Q8—1581no—
1114C22⋊Q8—1581no—
1115C22⋊Q8—1581no—
1116C22⋊Q8—1581no—
1117C22⋊Q8—1581no—
1118C22⋊Q8—1581no—
1119C22⋊Q8—1581no—
1120C22⋊Q8—1581no—
1121C22⋊Q8—1581no—
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⋊Q8C22×D7911yescharacteristic
1131#121—791no—
1132#121—791no—
1133#121—791no—
1134#121—791no—
1135#121—791no—
1136#121—1581no—
1137#121—1581no—
1138#121—1581no—
1139#121—1581no—
1140#121—1581no—
1141#121—1581no—
1142#121—1581no—
1143#121—1581no—
1144#121—1581no—
1145#121—1581no—
1146#121C22×D7911yescharacteristic
1147#120—1581no—
1148#120—1581no—
1149#120—1581no—
1150C4×Q8—791no—
1151C4×Q8C22×D7911yescharacteristic
1152C4×D4—791no—
1153C4×D4—791no—
1154C4×D4—791no—
1155C4×D4—791no—
1156C4×D4—791no—
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×D4—1581no—
1166C4×D4—1581no—
1167C4×D4C22×D7911yescharacteristic
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—1581no—
1180#117—1581no—
1181#117—1581no—
1182#117—1581no—
1183#117—1581no—
1184#117C22×D7911yescharacteristic
1185#117C22×D7911yescharacteristic
1186C2×C4⋊C4—791no—
1187C2×C4⋊C4—791no—
1188C2×C4⋊C4—791no—
1189C2×C4⋊C4—791no—
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—1581no—
1197C2×C4⋊C4—1581no—
1198C2×C4⋊C4—1581no—
1199C2×C4⋊C4—1581no—
1200C2×C4⋊C4—1581no—
1201C2×C4⋊C4—1581no—
1202C2×C4⋊C4—1581no—
1203C2×C4⋊C4—1581no—
1204C2×C4⋊C4—1581no—
1205C2×C4⋊C4—1581no—
1206C2×C4⋊C4C22×D7911yescharacteristic
1207C2×C22⋊C4—791no—
1208C2×C22⋊C4—791no—
1209C2×C22⋊C4—1581no—
1210C2×C22⋊C4—1581no—
1211C2×C22⋊C4—1581no—
1212C2×C22⋊C4—1581no—
1213C2×C42—791no—
1214C2×C42—791no—
1215C2×C42—1581no—
1216#107—791no—
1217#107—791no—
1218#107—791no—
1219#107—791no—
1220#107—791no—
1221#107—791no—
1222#107—791no—
1223#107—791no—
1224#107—791no—
1225#107—791no—
1226#107—791no—
1227#107—791no—
1228#107—791no—
1229#107—791no—
1230#107C22×D7911yescharacteristic
1231#107C22×D7911yescharacteristic
1232#107C22×D7911yescharacteristic
1233#107C22×D7911yescharacteristic
1234#107C22×D7911yescharacteristic
1235#107C22×D7911yescharacteristic
1236#106—791no—
1237#106—791no—
1238#106—791no—
1239#106—791no—
1240#106—791no—
1241#106—791no—
1242#106—791no—
1243#106—791no—
1244#106—791no—
1245#106—791no—
1246#106C22×D7911yescharacteristic
1247#106C22×D7911yescharacteristic
1248C4⋊C8—791no—
1249C4⋊C8—791no—
1250C4⋊C8—791no—
1251C4⋊C8—791no—
1252C4⋊C8—791no—
1253C4⋊C8—791no—
1254C4⋊C8C22×D7911yescharacteristic
1255C4⋊C8C22×D7911yescharacteristic
1256#103—791no—
1257#103—791no—
1258#103—791no—
1259#103—791no—
1260#103C22×D7911yescharacteristic
1261#103C22×D7911yescharacteristic
1262#103C22×D7911yescharacteristic
1263#103C22×D7911yescharacteristic
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#102—791no—
1278#102—791no—
1279#102—791no—
1280#102—791no—
1281#102—791no—
1282#102—791no—
1283#102—791no—
1284#102C22×D7911yescharacteristic
1285#102C22×D7911yescharacteristic
1286#102C22×D7911yescharacteristic
1287#102C22×D7911yescharacteristic
1288C22⋊C8—791no—
1289C22⋊C8—791no—
1290C22⋊C8—791no—
1291C22⋊C8—791no—
1292C22⋊C8—791no—
1293C22⋊C8—791no—
1294C22⋊C8C22×D7911yescharacteristic
1295C22⋊C8C22×D7911yescharacteristic
1296#97—791no—
1297#97—791no—
1298#97—791no—
1299#97C22×D7911yescharacteristic
1300C4×C8—791no—
1301C4×C8—791no—
1302C4×C8—791no—
1303C4×C8C22×D7911yescharacteristic
1304C24—791no—
1305C24—1581no—
1306#41—6322no—
1307#41—6322no—
1308#41—1582no—
1309#41—1582no—
1310C2×Q8—21no—
1311C2×Q8—21no—
1312C2×Q8—21no—
1313C2×Q8—6322no—
1314C2×Q8—6322no—
1315C2×Q8—1581no—
1316C2×Q8—1581no—
1317C2×Q8—1581no—
1318C2×Q8—1581no—
1319C2×Q8—1581no—
1320C2×Q8—1581no—
1321C2×Q8—1581no—
1322C2×Q8C23×D7911yescharacteristic
1323C2×D4—21no—
1324C2×D4—791no—
1325C2×D4—791no—
1326C2×D4—6322no—
1327C2×D4—1581no—
1328C2×D4—1581no—
1329C2×D4—1581no—
1330C2×D4—1582no—
1331C2×D4—1582no—
1332C2×D4—1581no—
1333C2×D4—1581no—
1334C2×D4—1581no—
1335C2×D4—1581no—
1336C2×D4—1581no—
1337C2×D4—1581no—
1338C2×D4—1581no—
1339C2×D4—1581no—
1340C2×D4C23×D7911yescharacteristic
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—791no—
1344C22×C4—791no—
1345C22×C4—791no—
1346C22×C4—791no—
1347C22×C4—791no—
1348C22×C4—791no—
1349C22×C4—791no—
1350C22×C4—791no—
1351C22×C4—791no—
1352C22×C4—6322no—
1353C22×C4—1581no—
1354C22×C4—1581no—
1355C22×C4—1581no—
1356C22×C4—1581no—
1357C22×C4—1581no—
1358C22×C4—1581no—
1359C22×C4—1581no—
1360C22×C4—1582no—
1361C22×C4—1582no—
1362C22×C4—1581no—
1363C22×C4—1581no—
1364C22×C4—1581no—
1365C22×C4—1581no—
1366C22×C4—1581no—
1367C22×C4—1581no—
1368C22×C4—1581no—
1369C22×C4C23×D7911yescharacteristic
1370M16—1582no—
1371M16—1582no—
1372C2×C8—791no—
1373C2×C8—791no—
1374C2×C8—791no—
1375C2×C8—791no—
1376C2×C8—1582no—
1377C2×C8—1582no—
1378C2×C8C23×D7911yescharacteristic
1379C2×C8C23×D7911yescharacteristic
1380C2×C8C23×D7911yescharacteristic
1381C2×C8C23×D7911yescharacteristic
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
1392C4⋊C4—791no—
1393C4⋊C4—791no—
1394C4⋊C4—791no—
1395C4⋊C4—791no—
1396C4⋊C4—791no—
1397C4⋊C4—791no—
1398C4⋊C4—791no—
1399C4⋊C4—791no—
1400C4⋊C4—791no—
1401C4⋊C4—791no—
1402C4⋊C4—791no—
1403C4⋊C4—791no—
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⋊C4—1581no—
1422C4⋊C4—1581no—
1423C4⋊C4—1581no—
1424C4⋊C4—1581no—
1425C4⋊C4—1581no—
1426C4⋊C4—1581no—
1427C4⋊C4—1581no—
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⋊C4D4×D7911yescharacteristic
1438C4⋊C4D4×D7911yescharacteristic
1439C4⋊C4C23×D7911yescharacteristic
1440C4⋊C4C23×D7911yescharacteristic
1441C4⋊C4C23×D7911yescharacteristic
1442C4⋊C4C23×D7911yescharacteristic
1443C4⋊C4C23×D7911yescharacteristic
1444C4⋊C4C23×D7911yescharacteristic
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—791no—
1452C22⋊C4—791no—
1453C22⋊C4—791no—
1454C22⋊C4—791no—
1455C22⋊C4—791no—
1456C22⋊C4—791no—
1457C22⋊C4—1581no—
1458C22⋊C4—1581no—
1459C22⋊C4—1581no—
1460C22⋊C4—1581no—
1461C22⋊C4—1581no—
1462C22⋊C4—1581no—
1463C22⋊C4—1581no—
1464C22⋊C4—1581no—
1465C22⋊C4—1581no—
1466C22⋊C4—1581no—
1467C22⋊C4—1581no—
1468C22⋊C4—1581no—
1469C22⋊C4—1581no—
1470C22⋊C4—1581no—
1471C22⋊C4—1581no—
1472C22⋊C4—1581no—
1473C22⋊C4—1581no—
1474C22⋊C4D4×D7911yescharacteristic
1475C22⋊C4D4×D7911yescharacteristic
1476C42—21no—
1477C42—21no—
1478C42—791no—
1479C42—791no—
1480C42—791no—
1481C42—791no—
1482C42—791no—
1483C42—791no—
1484C42—1581no—
1485C42—1581no—
1486C42—1581no—
1487C42—1581no—
1488C42—1581no—
1489C42C23×D7911yescharacteristic
1490C42C23×D7911yescharacteristic
1491C23—21no—
1492C23—3161no—
1493C23—3162no—
1494C23—791no—
1495C23—791no—
1496C23—6321no—
1497C23—6321no—
1498C23—1582no—
1499C23—1582no—
1500C23—1581no—
1501C23—1581no—
1502C23C2×D4×D7911yescharacteristic
1503Q8—21no—
1504Q8—21no—
1505Q8—81no—
1506Q8—81no—
1507Q8—81no—
1508Q8—6321no—
1509Q8—6321no—
1510Q8—6321no—
1511Q8—6321no—
1512Q8—6321no—
1513Q8—6321no—
1514Q8—6321no—
1515D4—21no—
1516D4—21no—
1517D4—81no—
1518D4—3162no—
1519D4—3162no—
1520D4—3162no—
1521D4—3162no—
1522D4—3162no—
1523D4—6321no—
1524D4—6321no—
1525D4—6321no—
1526D4—6321no—
1527D4—6321no—
1528D4—6321no—
1529D4—1581no—
1530D4—1581no—
1531D4—1581no—
1532D4—1581no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—81no—
1543C2×C4—81no—
1544C2×C4—3161no—
1545C2×C4—3161no—
1546C2×C4—3162no—
1547C2×C4—3162no—
1548C2×C4—3162no—
1549C2×C4—3162no—
1550C2×C4—3162no—
1551C2×C4—791no—
1552C2×C4—792no—
1553C2×C4—792no—
1554C2×C4—791no—
1555C2×C4—791no—
1556C2×C4—791no—
1557C2×C4—791no—
1558C2×C4—791no—
1559C2×C4—6321no—
1560C2×C4—6321no—
1561C2×C4—6321no—
1562C2×C4—6321no—
1563C2×C4—6321no—
1564C2×C4—6321no—
1565C2×C4—6321no—
1566C2×C4—6321no—
1567C2×C4—6321no—
1568C2×C4—1582no—
1569C2×C4—1582no—
1570C2×C4—1582no—
1571C2×C4—1582no—
1572C2×C4—1581no—
1573C2×C4—1581no—
1574C2×C4—1581no—
1575C2×C4—1581no—
1576C2×C4—1581no—
1577C2×C4—1581no—
1578C2×C4—1582no—
1579C2×C4—1581no—
1580C2×C4—1581no—
1581C2×C4C2×D4×D7911yescharacteristic
1582C2×C4C2×D4×D7911yescharacteristic
1583C2×C4C2×D4×D7911yescharacteristic
1584C2×C4C2×D4×D7911yescharacteristic
1585C2×C4C2×D4×D7911yescharacteristic
1586C2×C4C24×D7911yescharacteristic
1587C8—21no—
1588C8—21no—
1589C8—21no—
1590C8—21no—
1591C8—1581no—
1592C8—1581no—
1593C8—1581no—
1594C8—1581no—
1595C22—21no—
1596C22—21no—
1597C22—21no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—3164no—
1602C22—3161no—
1603C22—3161no—
1604C22—3161no—
1605C22—3161no—
1606C22—3161no—
1607C22—3161no—
1608C22—792no—
1609C22—792no—
1610C22—1581no—
1611C22—1581no—
1612C22—1581no—
1613C22—1581no—
1614C22—12642no—
1615C22C22×D4×D7911yescharacteristic
1616C4—21no—
1617C4—21no—
1618C4—21no—
1619C4—21no—
1620C4—21no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—3161no—
1629C4—3161no—
1630C4—3161no—
1631C4—3161no—
1632C4—3161no—
1633C4—3161no—
1634C4—792no—
1635C4—1581no—
1636C4—1581no—
1637C4—1581no—
1638C4—1581no—
1639C4—1581no—
1640C42−1+4×D7911yescharacteristic
1641C42−1+4×D7911yescharacteristic
1642C2—41no—
1643C2—81no—
1644C2—6321no—
1645C2—6321no—
1646C2—1582no—
1647C2—1582no—
1648C2#536×D7911yescharacteristic
1649C2#576×D7911yescharacteristic
1650C2#2377818511yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3243C2
socleC22×C79C23×D4
prime radical#23777133C2
hypercenter#3243D79
hypocenterC79#60871
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #117 ◁ #3243

Complements

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

NH ≅ G/Ntype
2. #544×D79C2semidirect
3. #23774689C2semidirect
4. #23774687C2semidirect
5. #23774677C2semidirect
6. #23774655C2semidirect
7. #23774653C2semidirect
8. #23774651C2semidirect
9. #23774649C2semidirect
10. #23774625C2semidirect
11. #23774617C2semidirect
12. #23774591C2semidirect
13. #23774588C2semidirect
14. #23774572C2semidirect
15. #23774563C2semidirect
16. #23774522C2semidirect
17. #23774520C2semidirect
18. #23773935C2semidirect
19. #23773933C2semidirect
20. #23773753C2semidirect
21. #23773751C2semidirect
22. #23773339C2semidirect
23. #23773327C2semidirect
24. #23773318C2semidirect
25. #480×D79C2semidirect
26. #23773254C2semidirect
27. #23773248C2semidirect
28. #23773230C2semidirect
29. #23773224C2semidirect
30. #23772056C2semidirect
31. C79×#3243C2semidirect
40. #19099194C22semidirect
46. #19099191C22semidirect
47. #19099191C22semidirect
59. C4⋊Q8×D79C22semidirect
60. C4⋊Q8×D79C22semidirect
64. #125×D79C22semidirect
65. #125×D79C22semidirect
75. #19098972C22semidirect
76. #19098971C22semidirect
77. #19098971C22semidirect
78. #19098971C22semidirect
79. #19098970C22semidirect
80. #19098969C22semidirect
81. #19098969C22semidirect
82. #19098967C22semidirect
83. #19098967C22semidirect
84. #19098966C22semidirect
85. #19098965C22semidirect
86. #19098964C22semidirect
87. #19098963C22semidirect
88. #19098962C22semidirect
89. #19098929C22semidirect
90. #19098928C22semidirect
91. #19098926C22semidirect
92. #19098926C22semidirect
93. #19098924C22semidirect
94. #19098924C22semidirect
95. #19098922C22semidirect
96. #19098919C22semidirect
97. #19098919C22semidirect
98. #19098917C22semidirect
99. #19098911C22semidirect
100. #19098910C22semidirect
101. #19098908C22semidirect
102. #19098908C22semidirect
103. #19098901C22semidirect
104. #19098897C22semidirect
105. #19098896C22semidirect
106. #19098892C22semidirect
107. #19098892C22semidirect
108. #19098892C22semidirect
110. #19098888C22semidirect
112. #19098887C22semidirect
115. #19098883C22semidirect
116. #19098882C22semidirect
117. #19098881C22semidirect
122. #19098878C22semidirect
123. #19098878C22semidirect
124. #19098878C22semidirect
131. #19098872C22semidirect
132. #19098870C22semidirect
133. #19098868C22semidirect
134. #19098866C22semidirect
135. #19098866C22semidirect
136. #19098865C22semidirect
137. #19098864C22semidirect
138. #19098864C22semidirect
139. #19098863C22semidirect
140. #19098862C22semidirect
141. #19098862C22semidirect
142. #19098861C22semidirect
143. #19098860C22semidirect
144. #19098860C22semidirect
145. #19098858C22semidirect
146. #19098856C22semidirect
147. #19098856C22semidirect
148. #19098854C22semidirect
149. #19098851C22semidirect
150. #19098851C22semidirect
151. #19098850C22semidirect
152. #19098844C22semidirect
153. #19098843C22semidirect
154. #19098842C22semidirect
155. #19098842C22semidirect
156. #19098842C22semidirect
157. #19098842C22semidirect
158. #19098840C22semidirect
159. #19098624C22semidirect
160. #19098621C22semidirect
161. #19098621C22semidirect
162. #19098619C22semidirect
163. #19098618C22semidirect
164. #19098615C22semidirect
165. #19098614C22semidirect
188. #544×C79C22semidirect
190. #501×C79C22semidirect
191. #500×C79C22semidirect
192. #489×C79C22semidirect
193. #488×C79C22semidirect
194. #485×C79C22semidirect
195. #484×C79C22semidirect
198. #479×C79C22semidirect
199. #478×C79C22semidirect
200. #477×C79C22semidirect
201. #474×C79C22semidirect
202. #433×C79C22semidirect
831. #3243D79semidirect
857. C79#60871semidirect
878. #544C2×D79semidirect
910. #501C2×D79semidirect
914. #500C2×D79semidirect
926. #489C2×D79semidirect
930. #488C2×D79semidirect
936. #485C2×D79semidirect
939. #484C2×D79semidirect
970. #479C2×D79semidirect
982. #478C2×D79semidirect
986. #477C2×D79semidirect
998. #474C2×D79semidirect
1002. #433C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237771332
#544×D792
#237746892
#237746872
#237746772
#237746552
#237746532
#237746512
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