Finite Group Databasebeta

← #35160652

Subgroups — #35160652

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#23777127C211yesmaximal, characteristic
2#544×D79C211yesmaximal, characteristic, complemented
3#23774685C211yesmaximal, characteristic, complemented
4#23774683C211yesmaximal, characteristic, complemented
5#23774681C211yesmaximal, characteristic, complemented
6#23774679C211yesmaximal, characteristic, complemented
7#23774659C211yesmaximal, characteristic, complemented
8#23774657C211yesmaximal, characteristic, complemented
9#23774647C211yesmaximal, characteristic, complemented
10#23774622C211yesmaximal, characteristic, complemented
11#23774620C211yesmaximal, characteristic, complemented
12#23774588C211yesmaximal, characteristic, complemented
13#23774585C211yesmaximal, characteristic, complemented
14#23774569C211yesmaximal, characteristic, complemented
15#23774566C211yesmaximal, characteristic, complemented
16#23774520C211yesmaximal, characteristic, complemented
17#23774517C211yesmaximal, characteristic, complemented
18#23773937C211yesmaximal, characteristic, complemented
19#23773935C211yesmaximal, characteristic, complemented
20#23773755C211yesmaximal, characteristic, complemented
21#23773749C211yesmaximal, characteristic, complemented
22#23773339C211yesmaximal, characteristic, complemented
23#23773322C211yesmaximal, characteristic, complemented
24#23773312C211yesmaximal, characteristic, complemented
25#480×D79C211yesmaximal, characteristic, complemented
26#23773252C211yesmaximal, characteristic, complemented
27#23773246C211yesmaximal, characteristic, complemented
28#23773228C211yesmaximal, characteristic, complemented
29#23773226C211yesmaximal, characteristic, complemented
30#23772056C211yesmaximal, characteristic, complemented
31C79×#3241C211yesmaximal, characteristic, complemented
32#19099277—21no—
33#19099258—21no—
34#19099256—21no—
35#19099241—21no—
36#19099236—21no—
37#19099211—21no—
38#19099210—21no—
39#19099202—21no—
40#19099194C2211yescharacteristic, complemented
41#19099193—21no—
42#19099193C2211yescharacteristic
43#19099193C2211yescharacteristic
44#19099193C2211yescharacteristic
45#19099192—21no—
46#19099192—21no—
47#19099191C2211yescharacteristic, complemented
48#19099191C2211yescharacteristic, complemented
49#19099190—21no—
50#19099190C2211yescharacteristic
51#19099190C2211yescharacteristic
52#19099184C2211yescharacteristic
53#19099180C2211yescharacteristic
54#19099166C2211yescharacteristic
55#19099126C2211yescharacteristic
56#19099111C2211yescharacteristic
57#19099110C2211yescharacteristic
58C4⋊Q8×D79—21no—
59C4⋊Q8×D79C2211yescharacteristic, complemented
60C4⋊Q8×D79C2211yescharacteristic, complemented
61#19099098C2211yescharacteristic
62#19099095C2211yescharacteristic
63#125×D79—21no—
64#125×D79C2211yescharacteristic, complemented
65#125×D79C2211yescharacteristic, complemented
66#19099073C2211yescharacteristic
67C22⋊Q8×D79—21no—
68C22⋊Q8×D79—21no—
69#121×D79C2211yescharacteristic
70#19099042C2211yescharacteristic
71#19099035C2211yescharacteristic
72#117×D79C2211yescharacteristic
73#117×D79C2211yescharacteristic
74C2×C4⋊C4×D79C2211yescharacteristic
75#19098973C2211yescharacteristic, complemented
76#19098973C2211yescharacteristic, complemented
77#19098972C2211yescharacteristic, complemented
78#19098971C2211yescharacteristic, complemented
79#19098970C2211yescharacteristic, complemented
80#19098970C2211yescharacteristic, complemented
81#19098970C2211yescharacteristic, complemented
82#19098968C2211yescharacteristic, complemented
83#19098967C2211yescharacteristic, complemented
84#19098967C2211yescharacteristic, complemented
85#19098966C2211yescharacteristic, complemented
86#19098964C2211yescharacteristic, complemented
87#19098963C2211yescharacteristic, complemented
88#19098962C2211yescharacteristic, complemented
89#19098927C2211yescharacteristic, complemented
90#19098926C2211yescharacteristic, complemented
91#19098926C2211yescharacteristic, complemented
92#19098925C2211yescharacteristic, complemented
93#19098923C2211yescharacteristic, complemented
94#19098921C2211yescharacteristic, complemented
95#19098921C2211yescharacteristic, complemented
96#19098920C2211yescharacteristic, complemented
97#19098918C2211yescharacteristic, complemented
98#19098916C2211yescharacteristic, complemented
99#19098916C2211yescharacteristic, complemented
100#19098909C2211yescharacteristic, complemented
101#19098908C2211yescharacteristic, complemented
102#19098908C2211yescharacteristic, complemented
103#19098905C2211yescharacteristic, complemented
104#19098904C2211yescharacteristic, complemented
105#19098900C2211yescharacteristic, complemented
106#19098899C2211yescharacteristic, complemented
107#19098898C2211yescharacteristic, complemented
108#19098895C2211yescharacteristic, complemented
109#19098895C2211yescharacteristic, complemented
110#19098895C2211yescharacteristic, complemented
111#19098888C2211yescharacteristic
112#19098887C2211yescharacteristic
113#19098884C2211yescharacteristic
114#19098884C2211yescharacteristic, complemented
115#19098883C2211yescharacteristic
116#19098880C2211yescharacteristic
117#19098880C2211yescharacteristic, complemented
118#19098879C2211yescharacteristic, complemented
119#19098878C2211yescharacteristic
120#19098878C2211yescharacteristic
121#19098878C2211yescharacteristic
122#19098877C2211yescharacteristic
123#19098876C2211yescharacteristic
124#19098875C2211yescharacteristic
125#19098875C2211yescharacteristic
126#19098875C2211yescharacteristic
127#19098875C2211yescharacteristic, complemented
128#19098875C2211yescharacteristic, complemented
129#19098875C2211yescharacteristic, complemented
130#19098874C2211yescharacteristic
131#19098873C2211yescharacteristic, complemented
132#19098871C2211yescharacteristic, complemented
133#19098869C2211yescharacteristic, complemented
134#19098867C2211yescharacteristic, complemented
135#19098866C2211yescharacteristic, complemented
136#19098865C2211yescharacteristic, complemented
137#19098865C2211yescharacteristic, complemented
138#19098864C2211yescharacteristic, complemented
139#19098863C2211yescharacteristic, complemented
140#19098863C2211yescharacteristic, complemented
141#19098862C2211yescharacteristic, complemented
142#19098861C2211yescharacteristic, complemented
143#19098861C2211yescharacteristic, complemented
144#19098860C2211yescharacteristic, complemented
145#19098859C2211yescharacteristic, complemented
146#19098857C2211yescharacteristic, complemented
147#19098857C2211yescharacteristic, complemented
148#19098855C2211yescharacteristic, complemented
149#19098853C2211yescharacteristic, complemented
150#19098852C2211yescharacteristic, complemented
151#19098852C2211yescharacteristic, complemented
152#19098844C2211yescharacteristic, complemented
153#19098843C2211yescharacteristic, complemented
154#19098841C2211yescharacteristic, complemented
155#19098841C2211yescharacteristic, complemented
156#19098841C2211yescharacteristic, complemented
157#19098841C2211yescharacteristic, 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#19098602C2211yescharacteristic
168#19098602C2211yescharacteristic
169#19098602C2211yescharacteristic
170#19098600C2211yescharacteristic
171#19098598C2211yescharacteristic
172#107×D79C2211yescharacteristic
173#107×D79C2211yescharacteristic
174#19098588C2211yescharacteristic
175#19098588C2211yescharacteristic
176#19098566C2211yescharacteristic
177#19098566C2211yescharacteristic
178#19098561C2211yescharacteristic
179#19098561C2211yescharacteristic
180#19098556C2211yescharacteristic
181#19098556C2211yescharacteristic
182#102×D79C2211yescharacteristic
183#102×D79C2211yescharacteristic
184#19098525C2211yescharacteristic
185C22⋊C8×D79C2211yescharacteristic
186#19098520C2211yescharacteristic
187#19098517C2211yescharacteristic
188#544×C79C2211yescharacteristic, complemented
189#540×C79C2211yescharacteristic
190#501×C79C2211yescharacteristic, complemented
191#499×C79C2211yescharacteristic, complemented
192#490×C79C2211yescharacteristic, complemented
193#486×C79C2211yescharacteristic, complemented
194#482×C79C2211yescharacteristic
195#482×C79C2211yescharacteristic, complemented
196#481×C79C2211yescharacteristic, complemented
197#480×C79C2211yescharacteristic
198#478×C79C2211yescharacteristic, complemented
199#478×C79C2211yescharacteristic, complemented
200#476×C79C2211yescharacteristic, complemented
201#474×C79C2211yescharacteristic, complemented
202#433×C79C2211yescharacteristic, complemented
203C2×#11929624—21no—
204C2×#11929623—21no—
205C2×#11929623C2311yescharacteristic
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#14579161C2311yescharacteristic
220#14579160—21no—
221#14579160—21no—
222#14579160—21no—
223#14579160—21no—
224#14579160—21no—
225#14579160—21no—
226#14579160—21no—
227#14579160C2311yescharacteristic
228#14579160C2311yescharacteristic
229#14579160C2311yescharacteristic
230#14579160C2311yescharacteristic
231#14579160C2311yescharacteristic
232#14579159—21no—
233#14579159—21no—
234#14579159—21no—
235#14579159—21no—
236#14579157C2311yescharacteristic
237#14579156—21no—
238#14579156—21no—
239#14579154—21no—
240#14579154—21no—
241#14579153—21no—
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#14579149C2311yescharacteristic
261#14579148—21no—
262#14579148—21no—
263#14579148C2311yescharacteristic
264#14579147—21no—
265#14579147—21no—
266#14579146—21no—
267#14579145—21no—
268#14579143—21no—
269#14579143—21no—
270#14579143—21no—
271#14579143—21no—
272#14579142—21no—
273#14579141—21no—
274#14579141—21no—
275#14579141—21no—
276#14579141C2311yescharacteristic
277#14579140—21no—
278#14579140—21no—
279#14579140C2311yescharacteristic
280#14579139—21no—
281#14579139—21no—
282#14579139—21no—
283#14579139—21no—
284#14579139—21no—
285#14579139—21no—
286#14579138—21no—
287#14579138—21no—
288#14579138—21no—
289#14579138—21no—
290#14579138—21no—
291#14579137—21no—
292#14579137—21no—
293#14579136C2311yescharacteristic
294#14579135C2311yescharacteristic
295#14579134—21no—
296#14579134—21no—
297#14579133—21no—
298#14579133—21no—
299#14579133—21no—
300#14579133—21no—
301#14579132—21no—
302#14579132—21no—
303#14579132C2311yescharacteristic
304#14579132C2311yescharacteristic
305#14579129—21no—
306#14579129—21no—
307#14579129—21no—
308C4×Dic158C2311yescharacteristic
309#14579126C2311yescharacteristic
310C4×D316C2311yescharacteristic
311D4×Dic79—21no—
312D4×Dic79—21no—
313D4×Dic79C2311yescharacteristic
314D4×Dic79C2311yescharacteristic
315#14579123—21no—
316#14579123C2311yescharacteristic
317C4×C22⋊D79—21no—
318C4×C22⋊D79—21no—
319C4×C22⋊D79—21no—
320C4×C22⋊D79—21no—
321(C22⋊D79)⋊C4—21no—
322(C22⋊D79)⋊C4—21no—
323(C22⋊D79)⋊C4—21no—
324#14579120—21no—
325#14579120C2311yescharacteristic
326#14579120C2311yescharacteristic
327#14579119—21no—
328#14579119D411yescharacteristic
329#14579119D411yescharacteristic
330#14579119C2311yescharacteristic
331#14579119C2311yescharacteristic
332#14579119C2311yescharacteristic
333#14579118—21no—
334#14579118C2311yescharacteristic
335#14579118C2311yescharacteristic
336#14579117—21no—
337#14579117—21no—
338#14579117D411yescharacteristic
339#14579117D411yescharacteristic
340C2×C4⋊Dic79C2311yescharacteristic
341C2×Dic79⋊C4—21no—
342C2×Dic79⋊C4—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#14579095C2311yescharacteristic
374#14579095C2311yescharacteristic
375#14579094C2311yescharacteristic
376#14579094C2311yescharacteristic
377#14579094C2311yescharacteristic
378#14579094C2311yescharacteristic
379#14579094C2311yescharacteristic
380#14579094C2311yescharacteristic
381#14579094C2311yescharacteristic
382#14579094C2311yescharacteristic
383#14579094C2311yescharacteristic
384#14579094C2311yescharacteristic
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#14579086C2311yescharacteristic
400#14579086C2311yescharacteristic
401#14579086C2311yescharacteristic
402#14579086C2311yescharacteristic
403#14579084C2311yescharacteristic
404#14579084C2311yescharacteristic
405#14579084C2311yescharacteristic
406#14579084C2311yescharacteristic
407#14579083C2311yescharacteristic
408#14579083C2311yescharacteristic
409#14579083C2311yescharacteristic
410#14579083C2311yescharacteristic
411#14579082C2311yescharacteristic
412#14579082C2311yescharacteristic
413#14579082C2311yescharacteristic
414#14579082C2311yescharacteristic
415#14579082C2311yescharacteristic
416#14579082C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
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
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×D79C2×D411yescharacteristic
480#11929624—82no—
481#11929623—22no—
482#11929623—22no—
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×Dic158C2411yescharacteristic
493Q8×D79—82no—
494Q8×D79—82no—
495C2×D316—21no—
496C2×D316C2411yescharacteristic
497C2×C22⋊D79—21no—
498C2×C22⋊D79—21no—
499C2×C22⋊D79—21no—
500C2×C22⋊D79—21no—
501C2×C22⋊D79—21no—
502C2×C22⋊D79—21no—
503C2×C22⋊D79—21no—
504D4×D79—22no—
505D4×D79—22no—
506D4×D79—82no—
507C22×Dic79—21no—
508C22×Dic79—21no—
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—82no—
524C2×C4×D79C2×D411yescharacteristic
525C2×C4×D79C2×D411yescharacteristic
526C2×C4×D79C2×D411yescharacteristic
527C2×C4×D79C2×D411yescharacteristic
528C2×C4×D79C2×D411yescharacteristic
529C2×C4×D79C2×D411yescharacteristic
530C2×C4×D79C2411yescharacteristic
531C2×C4×D79C2411yescharacteristic
532#11929607—22no—
533#11929607—22no—
534C2×C79⋊C8C2411yescharacteristic
535C2×C79⋊C8C2411yescharacteristic
536C2×C79⋊C8C2411yescharacteristic
537C2×C79⋊C8C2411yescharacteristic
538C8×D79—22no—
539C8×D79—22no—
540C4⋊Dic79—21no—
541C4⋊Dic79—21no—
542C4⋊Dic79—21no—
543C4⋊Dic79—21no—
544C4⋊Dic79—21no—
545C4⋊Dic79—21no—
546C4⋊Dic79—21no—
547C4⋊Dic79—21no—
548C4⋊Dic79—21no—
549C4⋊Dic79—21no—
550C4⋊Dic79C2×D411yescharacteristic
551C4⋊Dic79C2×D411yescharacteristic
552C4⋊Dic79C2411yescharacteristic
553C4⋊Dic79C2411yescharacteristic
554C4⋊Dic79C2411yescharacteristic
555C4⋊Dic79C2411yescharacteristic
556C4⋊Dic79C2411yescharacteristic
557C4⋊Dic79C2411yescharacteristic
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⋊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⋊C4C2×D411yescharacteristic
583Dic79⋊C4C2×D411yescharacteristic
584Dic79⋊C4C2×D411yescharacteristic
585Dic79⋊C4C2×D411yescharacteristic
586C22⋊Dic79—21no—
587C22⋊Dic79—21no—
588C22⋊Dic79—21no—
589C22⋊Dic79—21no—
590C22⋊Dic79—21no—
591C22⋊Dic79—21no—
592C22⋊Dic79—21no—
593C22⋊Dic79—21no—
594C22⋊Dic79C2×D411yescharacteristic
595C22⋊Dic79C2×D411yescharacteristic
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×Dic79C2×D411yescharacteristic
617C4×Dic79C2×D411yescharacteristic
618C4×Dic79C2×D411yescharacteristic
619C4×Dic79C2×D411yescharacteristic
620C4×Dic79C2411yescharacteristic
621C4×Dic79C2411yescharacteristic
622C2×Q8×C79—21no—
623C2×Q8×C79—21no—
624C2×D4×C79—21no—
625C2×D4×C79—21no—
626C2×D4×C79—21no—
627C2×D4×C79—21no—
628C2×D4×C79C2411yescharacteristic
629C2×D4×C79C2411yescharacteristic
630C22×C4×C79—21no—
631C22×C4×C79—21no—
632C22×C4×C79—21no—
633C22×C4×C79C2411yescharacteristic
634C2×C8×C79C2411yescharacteristic
635C2×C8×C79C2411yescharacteristic
636C2×C8×C79C2411yescharacteristic
637C2×C8×C79C2411yescharacteristic
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×C79—21no—
646C4⋊C4×C79—21no—
647C4⋊C4×C79C2×D411yescharacteristic
648C4⋊C4×C79C2×D411yescharacteristic
649C4⋊C4×C79C2411yescharacteristic
650C4⋊C4×C79C2411yescharacteristic
651C4⋊C4×C79C2411yescharacteristic
652C4⋊C4×C79C2411yescharacteristic
653C4⋊C4×C79C2411yescharacteristic
654C4⋊C4×C79C2411yescharacteristic
655C22⋊C4×C79—21no—
656C22⋊C4×C79—21no—
657C22⋊C4×C79—21no—
658C22⋊C4×C79—21no—
659C22⋊C4×C79—21no—
660C22⋊C4×C79C2×D411yescharacteristic
661C22⋊C4×C79C2×D411yescharacteristic
662C42×C79—21no—
663C42×C79C2411yescharacteristic
664C42×C79C2411yescharacteristic
665C23×C79—21no—
666C23×C79—21no—
667C23×C79C22×D411yescharacteristic
668C22×D79—22no—
669C22×D79—22no—
670C22×D79—21no—
671C22×D79—41no—
672C22×D79—42no—
673C22×D79—81no—
674C22×D79—81no—
675C22×D79C22×D411yescharacteristic
676C22×D79C22×D411yescharacteristic
677Q8×C79—81no—
678Q8×C79—81no—
679D4×C79—21no—
680D4×C79—21no—
681D4×C79—21no—
682D4×C79—21no—
683D4×C79—81no—
684D4×C79—81no—
685D4×C79—81no—
686D4×C79—81no—
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—21no—
695C2×C4×C79—81no—
696C2×C4×C79—81no—
697C2×C4×C79—81no—
698C2×C4×C79C22×D411yescharacteristic
699C2×C4×C79C22×D411yescharacteristic
700C2×C4×C79C22×D411yescharacteristic
701C2×C4×C79C22×D411yescharacteristic
702C2×C4×C79C22×D411yescharacteristic
703C2×C4×C79C2511yescharacteristic
704C22⋊D79—42no—
705C22⋊D79—42no—
706C22⋊D79—42no—
707C22⋊D79—42no—
708C22⋊D79—81no—
709C22⋊D79—81no—
710C22⋊D79—81no—
711C2×Dic79—22no—
712C2×Dic79—21no—
713C2×Dic79—21no—
714C2×Dic79—21no—
715C2×Dic79—21no—
716C2×Dic79—21no—
717C2×Dic79—21no—
718C2×Dic79—21no—
719C2×Dic79—42no—
720C2×Dic79—81no—
721C2×Dic79—81no—
722C2×Dic79—81no—
723C2×Dic79C22×D411yescharacteristic
724C2×Dic79C22×D411yescharacteristic
725C2×Dic79C22×D411yescharacteristic
726C2×Dic79C22×D411yescharacteristic
727C2×Dic79C22×D411yescharacteristic
728C2×Dic79C22×D411yescharacteristic
729D316—21no—
730D316—21no—
731D316—42no—
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—81no—
745C4×D79—81no—
746C4×D79—81no—
747C4×D79—81no—
748C4×D79—81no—
749C4×D792−1+412yes—
750C4×D792−1+412yes—
751Dic158—21no—
752Dic158—21no—
753Dic158—81no—
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×C79—41no—
776C22×C79—41no—
777C22×C79—41no—
778C22×C79C23×D411yescharacteristic
779C2×D79—21no—
780C2×D79—21no—
781C2×D79—21no—
782C2×D79—21no—
783C2×D79—44no—
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×C79C2×2−1+411yescharacteristic
802C4×C79C2×2−1+411yescharacteristic
803Dic79—21no—
804Dic79—21no—
805Dic79—21no—
806Dic79—21no—
807Dic79—21no—
808Dic79—41no—
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×C79—81no—
820C2×C79C2×#53611yescharacteristic
821C2×C79C2×#57611yescharacteristic
822C2×C79#358611yescharacteristic
823D79—22no—
824D79—22no—
825D79—81no—
826#3494—791no—
827C2×#544—791no—
828#3243—791no—
829#3243—791no—
830#3243—791no—
831#3243—791no—
832#3241—791no—
833#3241—791no—
834#3241—791no—
835#3241D7911yescharacteristic, complemented
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#542—791no—
881#540—791no—
882#540C2×D7911yescharacteristic
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#500—791no—
915#499—791no—
916#499—791no—
917#499—791no—
918#499C2×D7911yescharacteristic, complemented
919#490—791no—
920#490—791no—
921#490—791no—
922#490C2×D7911yescharacteristic, complemented
923#489—791no—
924#489—791no—
925#489—791no—
926#489—791no—
927#488—791no—
928#488—791no—
929#488—791no—
930#488—791no—
931#486—791no—
932#486—791no—
933#486—791no—
934#486C2×D7911yescharacteristic, complemented
935#485—791no—
936#485—791no—
937#484—791no—
938#484—791no—
939#484—791no—
940#483—791no—
941#483—791no—
942#483—791no—
943#482—791no—
944#482—791no—
945#482—791no—
946#482—791no—
947#482C2×D7911yescharacteristic
948#482C2×D7911yescharacteristic, complemented
949#481—791no—
950#481—791no—
951#481—791no—
952#481—791no—
953#481C2×D7911yescharacteristic, complemented
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#479—791no—
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#478C2×D7911yescharacteristic, complemented
982#478C2×D7911yescharacteristic, complemented
983#477—791no—
984#477—791no—
985#477—791no—
986#477—791no—
987#476—791no—
988#476—791no—
989#476—791no—
990#476C2×D7911yescharacteristic, complemented
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—791no—
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⋊Q8—1581no—
1063C4⋊Q8C22×D7911yescharacteristic
1064C4⋊Q8C22×D7911yescharacteristic
1065#127—791no—
1066#127C22×D7911yescharacteristic
1067#126—1581no—
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—1581no—
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#125C22×D7911yescharacteristic
1092#125C22×D7911yescharacteristic
1093#125C22×D7911yescharacteristic
1094#124—791no—
1095#124—791no—
1096#124—1581no—
1097#124—1581no—
1098#124—1581no—
1099#124—1581no—
1100#123—21no—
1101#123—21no—
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—791no—
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⋊Q8—1581no—
1131#121—21no—
1132#121—21no—
1133#121—791no—
1134#121—791no—
1135#121—791no—
1136#121—791no—
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#121C22×D7911yescharacteristic
1146#121C22×D7911yescharacteristic
1147#120—1581no—
1148#120—1581no—
1149#120—1581no—
1150C4×Q8—791no—
1151C4×Q8—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×D4—1581no—
1166C4×D4C22×D7911yescharacteristic
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#107—791no—
1231#107—791no—
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#106C22×D7911yescharacteristic
1245#106C22×D7911yescharacteristic
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#103—791no—
1261#103—791no—
1262#103—791no—
1263#103—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#102—791no—
1278#102—791no—
1279#102—791no—
1280#102C22×D7911yescharacteristic
1281#102C22×D7911yescharacteristic
1282#102C22×D7911yescharacteristic
1283#102C22×D7911yescharacteristic
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—791no—
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×Q8—1581no—
1323C2×D4—21no—
1324C2×D4—21no—
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—791no—
1328C2×D4—6322no—
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×D4C23×D7911yescharacteristic
1340C2×D4C23×D7911yescharacteristic
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
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—791no—
1353C22×C4—6322no—
1354C22×C4—1581no—
1355C22×C4—1581no—
1356C22×C4—1581no—
1357C22×C4—1581no—
1358C22×C4—1581no—
1359C22×C4—1582no—
1360C22×C4—1582no—
1361C22×C4—1581no—
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—791no—
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—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⋊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—791no—
1451C22⋊C4—791no—
1452C22⋊C4—791no—
1453C22⋊C4—791no—
1454C22⋊C4—791no—
1455C22⋊C4—791no—
1456C22⋊C4—1581no—
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—791no—
1478C42—791no—
1479C42—791no—
1480C42—791no—
1481C42—791no—
1482C42—791no—
1483C42—1581no—
1484C42—1581no—
1485C42—1581no—
1486C42—1581no—
1487C42—1581no—
1488C42—1581no—
1489C42C23×D7911yescharacteristic
1490C42C23×D7911yescharacteristic
1491C23—21no—
1492C23—21no—
1493C23—3161no—
1494C23—3162no—
1495C23—791no—
1496C23—791no—
1497C23—6321no—
1498C23—6321no—
1499C23—1582no—
1500C23—1582no—
1501C23—1581no—
1502C23C2×D4×D7911yescharacteristic
1503Q8—81no—
1504Q8—81no—
1505Q8—6321no—
1506Q8—6321no—
1507Q8—6321no—
1508Q8—6321no—
1509Q8—6321no—
1510Q8—6321no—
1511Q8—6321no—
1512Q8—6321no—
1513Q8—1581no—
1514Q8—1581no—
1515D4—21no—
1516D4—21no—
1517D4—21no—
1518D4—21no—
1519D4—81no—
1520D4—81no—
1521D4—81no—
1522D4—81no—
1523D4—3162no—
1524D4—3162no—
1525D4—3162no—
1526D4—3162no—
1527D4—3162no—
1528D4—6321no—
1529D4—6321no—
1530D4—6321no—
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—81no—
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—1582no—
1568C2×C4—1582no—
1569C2×C4—1582no—
1570C2×C4—1582no—
1571C2×C4—1581no—
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—41no—
1602C22—41no—
1603C22—41no—
1604C22—3164no—
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—3161no—
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—81no—
1645C2—6321no—
1646C2—1582no—
1647C2—1582no—
1648C2#536×D7911yescharacteristic
1649C2#576×D7911yescharacteristic
1650C2#2377818211yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3241C2
socleC22×C79C23×D4
prime radical#23777127C2
hypercenter#3241D79
hypocenterC79#60871
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. #544×D79C2semidirect
3. #23774685C2semidirect
4. #23774683C2semidirect
5. #23774681C2semidirect
6. #23774679C2semidirect
7. #23774659C2semidirect
8. #23774657C2semidirect
9. #23774647C2semidirect
10. #23774622C2semidirect
11. #23774620C2semidirect
12. #23774588C2semidirect
13. #23774585C2semidirect
14. #23774569C2semidirect
15. #23774566C2semidirect
16. #23774520C2semidirect
17. #23774517C2semidirect
18. #23773937C2semidirect
19. #23773935C2semidirect
20. #23773755C2semidirect
21. #23773749C2semidirect
22. #23773339C2semidirect
23. #23773322C2semidirect
24. #23773312C2semidirect
25. #480×D79C2semidirect
26. #23773252C2semidirect
27. #23773246C2semidirect
28. #23773228C2semidirect
29. #23773226C2semidirect
30. #23772056C2semidirect
31. C79×#3241C2semidirect
40. #19099194C22semidirect
47. #19099191C22semidirect
48. #19099191C22semidirect
59. C4⋊Q8×D79C22semidirect
60. C4⋊Q8×D79C22semidirect
64. #125×D79C22semidirect
65. #125×D79C22semidirect
75. #19098973C22semidirect
76. #19098973C22semidirect
77. #19098972C22semidirect
78. #19098971C22semidirect
79. #19098970C22semidirect
80. #19098970C22semidirect
81. #19098970C22semidirect
82. #19098968C22semidirect
83. #19098967C22semidirect
84. #19098967C22semidirect
85. #19098966C22semidirect
86. #19098964C22semidirect
87. #19098963C22semidirect
88. #19098962C22semidirect
89. #19098927C22semidirect
90. #19098926C22semidirect
91. #19098926C22semidirect
92. #19098925C22semidirect
93. #19098923C22semidirect
94. #19098921C22semidirect
95. #19098921C22semidirect
96. #19098920C22semidirect
97. #19098918C22semidirect
98. #19098916C22semidirect
99. #19098916C22semidirect
100. #19098909C22semidirect
101. #19098908C22semidirect
102. #19098908C22semidirect
103. #19098905C22semidirect
104. #19098904C22semidirect
105. #19098900C22semidirect
106. #19098899C22semidirect
107. #19098898C22semidirect
108. #19098895C22semidirect
109. #19098895C22semidirect
110. #19098895C22semidirect
114. #19098884C22semidirect
117. #19098880C22semidirect
118. #19098879C22semidirect
127. #19098875C22semidirect
128. #19098875C22semidirect
129. #19098875C22semidirect
131. #19098873C22semidirect
132. #19098871C22semidirect
133. #19098869C22semidirect
134. #19098867C22semidirect
135. #19098866C22semidirect
136. #19098865C22semidirect
137. #19098865C22semidirect
138. #19098864C22semidirect
139. #19098863C22semidirect
140. #19098863C22semidirect
141. #19098862C22semidirect
142. #19098861C22semidirect
143. #19098861C22semidirect
144. #19098860C22semidirect
145. #19098859C22semidirect
146. #19098857C22semidirect
147. #19098857C22semidirect
148. #19098855C22semidirect
149. #19098853C22semidirect
150. #19098852C22semidirect
151. #19098852C22semidirect
152. #19098844C22semidirect
153. #19098843C22semidirect
154. #19098841C22semidirect
155. #19098841C22semidirect
156. #19098841C22semidirect
157. #19098841C22semidirect
158. #19098840C22semidirect
159. #19098624C22semidirect
160. #19098621C22semidirect
161. #19098621C22semidirect
162. #19098619C22semidirect
163. #19098618C22semidirect
164. #19098615C22semidirect
165. #19098614C22semidirect
188. #544×C79C22semidirect
190. #501×C79C22semidirect
191. #499×C79C22semidirect
192. #490×C79C22semidirect
193. #486×C79C22semidirect
195. #482×C79C22semidirect
196. #481×C79C22semidirect
198. #478×C79C22semidirect
199. #478×C79C22semidirect
200. #476×C79C22semidirect
201. #474×C79C22semidirect
202. #433×C79C22semidirect
835. #3241D79semidirect
857. C79#60871semidirect
878. #544C2×D79semidirect
910. #501C2×D79semidirect
918. #499C2×D79semidirect
922. #490C2×D79semidirect
934. #486C2×D79semidirect
948. #482C2×D79semidirect
953. #481C2×D79semidirect
981. #478C2×D79semidirect
982. #478C2×D79semidirect
990. #476C2×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
#237771272
#544×D792
#237746852
#237746832
#237746812
#237746792
#237746592
#237746572
#237746472
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