Finite Group Databasebeta

← #35160963

Subgroups — #35160963

Order 20224.

1700 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777221C211yesmaximal, characteristic, complemented
2#23776821C211yesmaximal, characteristic
3#23774704C211yesmaximal, characteristic, complemented
4#23774693C211yesmaximal, characteristic, complemented
5#23774689C211yesmaximal, characteristic, complemented
6#23774678C211yesmaximal, characteristic, complemented
7#23774659C211yesmaximal, characteristic, complemented
8#23774654C211yesmaximal, characteristic, complemented
9#23774654C211yesmaximal, characteristic, complemented
10#23774651C211yesmaximal, characteristic, complemented
11#23774645C211yesmaximal, characteristic, complemented
12#23774592C211yesmaximal, characteristic, complemented
13#23774588C211yesmaximal, characteristic, complemented
14#23774572C211yesmaximal, characteristic, complemented
15#23774564C211yesmaximal, characteristic, complemented
16#23774536C211yesmaximal, characteristic, complemented
17#23774535C211yesmaximal, characteristic, complemented
18#23773935C211yesmaximal, characteristic, complemented
19#23773927C211yesmaximal, characteristic, complemented
20#23773751C211yesmaximal, characteristic, complemented
21#23773751C211yesmaximal, characteristic, complemented
22#23773386C211yesmaximal, characteristic, complemented
23#23773381C211yesmaximal, characteristic, complemented
24#23773355C211yesmaximal, characteristic, complemented
25#23773353C211yesmaximal, characteristic, complemented
26#23773219C211yesmaximal, characteristic, complemented
27#23773195C211yesmaximal, characteristic, complemented
28#23773187C211yesmaximal, characteristic, complemented
29#478×D79C211yesmaximal, characteristic, complemented
30#23772067C211yesmaximal, characteristic, complemented
31C79×#3240C211yesmaximal, characteristic, complemented
32#19099291—21no—
33#19099291—21no—
34#19099273—21no—
35#19099273—21no—
36#19099267—21no—
37#19099267—21no—
38#19099267—21no—
39#19099267—21no—
40#19099193C2211yescharacteristic
41#19099191C2211yescharacteristic, complemented
42#19099191C2211yescharacteristic, complemented
43#19099190C2211yescharacteristic
44#19099190C2211yescharacteristic
45#19099190C2211yescharacteristic, complemented
46#19099190C2211yescharacteristic, complemented
47#19099186C2211yescharacteristic
48#19099182C2211yescharacteristic
49#19099179—21no—
50#19099169C2211yescharacteristic
51#19099166C2211yescharacteristic
52#19099165—21no—
53#19099152—21no—
54#19099149—21no—
55#19099143C2211yescharacteristic
56#19099131C2211yescharacteristic
57#19099129C2211yescharacteristic
58#19099119C2211yescharacteristic
59#19099119C2211yescharacteristic, complemented
60#19099113C2211yescharacteristic
61#19099110—21no—
62#19099110C2211yescharacteristic
63#19099100C2211yescharacteristic
64#19099091—21no—
65C2×#14579153C2211yescharacteristic, complemented
66#125×D79C2211yescharacteristic
67#125×D79C2211yescharacteristic, complemented
68#19099075—21no—
69#19099072—21no—
70#19099043C2211yescharacteristic
71#19099043C2211yescharacteristic
72C4×#11929625C2211yescharacteristic
73C4×#11929624C2211yescharacteristic
74C4×D4×D79C2211yescharacteristic
75#19098972C2211yescharacteristic, complemented
76#19098972C2211yescharacteristic, complemented
77#19098971C2211yescharacteristic, complemented
78#19098971C2211yescharacteristic, complemented
79#19098970C2211yescharacteristic, complemented
80#19098970C2211yescharacteristic, complemented
81#19098967C2211yescharacteristic, complemented
82#19098966C2211yescharacteristic, complemented
83#19098964C2211yescharacteristic, complemented
84#19098963C2211yescharacteristic, complemented
85#19098962C2211yescharacteristic, complemented
86#19098962C2211yescharacteristic, complemented
87#19098960C2211yescharacteristic, complemented
88#19098959C2211yescharacteristic, complemented
89#19098928C2211yescharacteristic
90#19098928C2211yescharacteristic
91#19098926C2211yescharacteristic
92#19098926C2211yescharacteristic
93#19098924C2211yescharacteristic
94#19098924C2211yescharacteristic
95#19098919C2211yescharacteristic
96#19098919C2211yescharacteristic
97#19098917C2211yescharacteristic
98#19098917C2211yescharacteristic
99#19098911C2211yescharacteristic
100#19098911C2211yescharacteristic
101#19098908C2211yescharacteristic
102#19098908C2211yescharacteristic
103#19098903C2211yescharacteristic, complemented
104#19098902C2211yescharacteristic, complemented
105#19098897C2211yescharacteristic, complemented
106#19098896C2211yescharacteristic, complemented
107#19098892C2211yescharacteristic, complemented
108#19098891C2211yescharacteristic, complemented
109#19098890C2211yescharacteristic
110#19098890C2211yescharacteristic, complemented
111#19098889C2211yescharacteristic
112#19098889C2211yescharacteristic, complemented
113#19098887C2211yescharacteristic
114#19098887C2211yescharacteristic
115#19098887C2211yescharacteristic, complemented
116#19098887C2211yescharacteristic, complemented
117#19098886C2211yescharacteristic
118#19098885C2211yescharacteristic
119#19098883C2211yescharacteristic
120#19098883C2211yescharacteristic, complemented
121#19098882C2211yescharacteristic
122#19098882C2211yescharacteristic, complemented
123#19098880C2211yescharacteristic
124#19098879C2211yescharacteristic
125#19098878C2211yescharacteristic
126#19098878C2211yescharacteristic, complemented
127#19098877C2211yescharacteristic
128#19098877C2211yescharacteristic, complemented
129#19098875C2211yescharacteristic
130#19098874C2211yescharacteristic
131#19098872C2211yescharacteristic, complemented
132#19098870C2211yescharacteristic, complemented
133#19098870C2211yescharacteristic, complemented
134#19098868C2211yescharacteristic, complemented
135#19098866C2211yescharacteristic
136#19098866C2211yescharacteristic, complemented
137#19098865C2211yescharacteristic
138#19098864C2211yescharacteristic
139#19098864C2211yescharacteristic
140#19098864C2211yescharacteristic, complemented
141#19098864C2211yescharacteristic, complemented
142#19098863C2211yescharacteristic
143#19098863C2211yescharacteristic
144#19098862C2211yescharacteristic
145#19098862C2211yescharacteristic, complemented
146#19098861C2211yescharacteristic
147#19098860C2211yescharacteristic
148#19098860C2211yescharacteristic
149#19098860C2211yescharacteristic, complemented
150#19098860C2211yescharacteristic, complemented
151#19098856C2211yescharacteristic, complemented
152#19098852C2211yescharacteristic
153#19098852C2211yescharacteristic, complemented
154#19098851C2211yescharacteristic
155#19098846C2211yescharacteristic, complemented
156#19098842C2211yescharacteristic
157#19098842C2211yescharacteristic, complemented
158#19098841C2211yescharacteristic
159#19098625C2211yescharacteristic, complemented
160#19098625C2211yescharacteristic, complemented
161#19098621C2211yescharacteristic, complemented
162#19098621C2211yescharacteristic, complemented
163#19098619C2211yescharacteristic, complemented
164#19098616C2211yescharacteristic, complemented
165#19098615C2211yescharacteristic, complemented
166#19098604C2211yescharacteristic
167#19098604C2211yescharacteristic
168#19098602C2211yescharacteristic
169#19098602C2211yescharacteristic
170#19098600C2211yescharacteristic
171#19098598C2211yescharacteristic
172#107×D79C2211yescharacteristic
173#106×D79C2211yescharacteristic
174#19098585C2211yescharacteristic
175C4⋊C8×D79C2211yescharacteristic
176#19098566C2211yescharacteristic
177#19098566C2211yescharacteristic
178#19098563C2211yescharacteristic
179#19098563C2211yescharacteristic
180#19098558C2211yescharacteristic
181#19098558C2211yescharacteristic
182#102×D79C2211yescharacteristic
183#102×D79C2211yescharacteristic
184#19098528C2211yescharacteristic
185#19098528C2211yescharacteristic
186#19098520C2211yescharacteristic
187#19098520C2211yescharacteristic
188#533×C79C2211yescharacteristic, complemented
189#529×C79C2211yescharacteristic
190#501×C79C2211yescharacteristic, complemented
191#501×C79C2211yescharacteristic, complemented
192#489×C79C2211yescharacteristic
193#489×C79C2211yescharacteristic
194#485×C79C2211yescharacteristic, complemented
195#485×C79C2211yescharacteristic, complemented
196#482×C79C2211yescharacteristic
197#482×C79C2211yescharacteristic
198#479×C79C2211yescharacteristic, complemented
199#479×C79C2211yescharacteristic, complemented
200#478×C79C2211yescharacteristic
201#478×C79C2211yescharacteristic
202#432×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929624—21no—
205C2×#11929624—21no—
206C2×#11929624C2311yescharacteristic
207C2×D4×D79C2311yescharacteristic
208C22×C4×D79—21no—
209C2×#11929607C2311yescharacteristic
210C2×#11929607C2311yescharacteristic
211C2×C8×D79C2311yescharacteristic
212C2×C8×D79C2311yescharacteristic
213#14579161—21no—
214#14579161—21no—
215#14579161C2311yescharacteristic
216#14579160—21no—
217#14579160C2311yescharacteristic
218#14579160C2311yescharacteristic
219#14579160C2311yescharacteristic
220#14579160C2311yescharacteristic
221#14579160C2311yescharacteristic
222#14579159—21no—
223#14579159—21no—
224#14579159—21no—
225#14579159—21no—
226#14579158C2311yescharacteristic
227#14579157—21no—
228#14579157C2311yescharacteristic
229#14579156—21no—
230#14579156—21no—
231#14579154—21no—
232#14579153—21no—
233#14579153—21no—
234#14579153—21no—
235#14579153—21no—
236#14579153C2311yescharacteristic
237#14579153C2311yescharacteristic
238#14579153C2311yescharacteristic
239#14579153C2311yescharacteristic
240#14579152C2311yescharacteristic
241#14579152C2311yescharacteristic
242#14579152C2311yescharacteristic
243#14579152C2311yescharacteristic
244#14579152C2311yescharacteristic
245#14579151—21no—
246#14579151—21no—
247#14579151—21no—
248#14579151—21no—
249#14579151—21no—
250#14579151—21no—
251#14579151—21no—
252#14579151—21no—
253#14579151—21no—
254#14579150C2311yescharacteristic
255#14579149—21no—
256#14579147—21no—
257#14579147—21no—
258#14579147—21no—
259#14579147—21no—
260#14579146—21no—
261#14579146—21no—
262#14579146—21no—
263#14579145—21no—
264#14579145—21no—
265#14579143—21no—
266#14579143—21no—
267#14579141—21no—
268#14579141—21no—
269#14579139—21no—
270#14579139—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#14579138—21no—
280#14579138—21no—
281#14579138—21no—
282#14579138—21no—
283#14579138—21no—
284#14579137—21no—
285#14579137—21no—
286#14579137—21no—
287#14579137—21no—
288#14579137C2311yescharacteristic
289#14579136—21no—
290#14579136—21no—
291#14579136—21no—
292#14579136C2311yescharacteristic
293#14579136C2311yescharacteristic
294#14579135—21no—
295#14579135C2311yescharacteristic
296#14579135C2311yescharacteristic
297#14579134—21no—
298#14579134—21no—
299#14579134—21no—
300#14579134—21no—
301#14579134—21no—
302#14579133—21no—
303#14579132—21no—
304#14579132C2311yescharacteristic
305#14579131—21no—
306#14579131—21no—
307#14579131—21no—
308#14579129—21no—
309Q8×Dic79C2311yescharacteristic
310C4×Dic158—21no—
311C4×Dic158—21no—
312C4×Dic158D411yescharacteristic
313C4×Dic158D411yescharacteristic
314#14579126—21no—
315#14579126—21no—
316#14579126—21no—
317#14579126—21no—
318C4×D316—21no—
319C4×D316—21no—
320C4×D316—21no—
321C4×D316—21no—
322C4×D316—21no—
323C4×D316D411yescharacteristic
324C4×D316D411yescharacteristic
325C4×D316C2311yescharacteristic
326C4×D316C2311yescharacteristic
327D4×Dic79C2311yescharacteristic
328#14579123—21no—
329#14579123C2311yescharacteristic
330#14579123C2311yescharacteristic
331C4×C22⋊D79—21no—
332C4×C22⋊D79—21no—
333C4×C22⋊D79D411yescharacteristic
334C4×C22⋊D79D411yescharacteristic
335C4×C22⋊D79D411yescharacteristic
336C4×C22⋊D79D411yescharacteristic
337(C22⋊D79)⋊C4—21no—
338(C22⋊D79)⋊C4—21no—
339(C22⋊D79)⋊C4—21no—
340(C22⋊D79)⋊C4—21no—
341(C22⋊D79)⋊C4—21no—
342#14579120C2311yescharacteristic
343#14579119—21no—
344#14579119C2311yescharacteristic
345#14579119C2311yescharacteristic
346#14579119C2311yescharacteristic
347#14579119C2311yescharacteristic
348#14579119C2311yescharacteristic
349#14579118—21no—
350#14579118C2311yescharacteristic
351#14579118C2311yescharacteristic
352C2×C4⋊Dic79C2311yescharacteristic
353C2×C4⋊Dic79C2311yescharacteristic
354C2×Dic79⋊C4—21no—
355C2×Dic79⋊C4—21no—
356C4⋊C4×D79—21no—
357C4⋊C4×D79—21no—
358C4⋊C4×D79—21no—
359C4⋊C4×D79—21no—
360C4⋊C4×D79C2311yescharacteristic
361C4⋊C4×D79C2311yescharacteristic
362C4⋊C4×D79C2311yescharacteristic
363C4⋊C4×D79C2311yescharacteristic
364C4⋊C4×D79C2311yescharacteristic
365C22⋊C4×D79—21no—
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#14579093C2311yescharacteristic
382#14579093C2311yescharacteristic
383#14579093C2311yescharacteristic
384#14579093C2311yescharacteristic
385#14579092C2311yescharacteristic
386#14579092C2311yescharacteristic
387#14579092C2311yescharacteristic
388#14579092C2311yescharacteristic
389#14579092C2311yescharacteristic
390#14579092C2311yescharacteristic
391#14579092C2311yescharacteristic
392#14579092C2311yescharacteristic
393C4⋊(C79⋊C8)C2311yescharacteristic
394C4⋊(C79⋊C8)C2311yescharacteristic
395Dic79⋊C8C2311yescharacteristic
396Dic79⋊C8C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399#14579085C2311yescharacteristic
400#14579085C2311yescharacteristic
401#14579085C2311yescharacteristic
402#14579085C2311yescharacteristic
403#14579083C2311yescharacteristic
404#14579083C2311yescharacteristic
405#14579083C2311yescharacteristic
406#14579083C2311yescharacteristic
407#14579083C2311yescharacteristic
408#14579083C2311yescharacteristic
409#14579083C2311yescharacteristic
410#14579083C2311yescharacteristic
411#14579082C2311yescharacteristic
412#14579082C2311yescharacteristic
413#14579082C2311yescharacteristic
414#14579082C2311yescharacteristic
415#14579081C2311yescharacteristic
416#14579081C2311yescharacteristic
417#14579081C2311yescharacteristic
418#14579081C2311yescharacteristic
419#14579081C2311yescharacteristic
420#14579081C2311yescharacteristic
421#14579081C2311yescharacteristic
422#14579081C2311yescharacteristic
423C22⋊(C79⋊C8)C2311yescharacteristic
424C22⋊(C79⋊C8)C2311yescharacteristic
425(C2×D79)⋊C8C2311yescharacteristic
426(C2×D79)⋊C8C2311yescharacteristic
427(C2×D79)⋊C8C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429#14579071C2311yescharacteristic
430#14579071C2311yescharacteristic
431C4×C79⋊C8C2311yescharacteristic
432C4×C79⋊C8C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C4⋊Q8×C79C2311yescharacteristic
436C4⋊Q8×C79C2311yescharacteristic
437#126×C79—21no—
438#125×C79C2311yescharacteristic
439#125×C79C2311yescharacteristic
440#125×C79C2311yescharacteristic
441#124×C79C2311yescharacteristic
442#123×C79—21no—
443C22⋊Q8×C79—21no—
444C22⋊Q8×C79—21no—
445C22⋊Q8×C79C2311yescharacteristic
446#121×C79C2311yescharacteristic
447C4×Q8×C79—21no—
448C4×Q8×C79—21no—
449C4×Q8×C79C2311yescharacteristic
450C4×D4×C79—21no—
451C4×D4×C79C2311yescharacteristic
452#117×C79—21no—
453#117×C79C2311yescharacteristic
454#117×C79C2311yescharacteristic
455C2×C42×C79C2311yescharacteristic
456#107×C79C2311yescharacteristic
457#107×C79C2311yescharacteristic
458#107×C79C2311yescharacteristic
459#107×C79C2311yescharacteristic
460#106×C79C2311yescharacteristic
461#106×C79C2311yescharacteristic
462#106×C79C2311yescharacteristic
463#106×C79C2311yescharacteristic
464C4⋊C8×C79C2311yescharacteristic
465C4⋊C8×C79C2311yescharacteristic
466#103×C79C2311yescharacteristic
467#103×C79C2311yescharacteristic
468#103×C79C2311yescharacteristic
469#103×C79C2311yescharacteristic
470#102×C79C2311yescharacteristic
471#102×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474C22⋊C8×C79C2311yescharacteristic
475C22⋊C8×C79C2311yescharacteristic
476#97×C79C2311yescharacteristic
477#97×C79C2311yescharacteristic
478C23×D79—21no—
479#11929625—22no—
480#11929625—22no—
481#11929624—22no—
482#11929624—22no—
483#11929624—82no—
484#11929624—82no—
485C2×Dic158—21no—
486C2×Dic158—21no—
487C2×Dic158—21no—
488C2×Dic158—21no—
489C2×Dic158—21no—
490C2×Dic158—21no—
491C2×Dic158C2×D411yescharacteristic
492C2×D316—21no—
493C2×D316—21no—
494C2×D316—21no—
495C2×D316—21no—
496C2×D316—21no—
497C2×D316C2×D411yescharacteristic
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—
506C2×C22⋊D79C2×D411yescharacteristic
507C2×C22⋊D79C2×D411yescharacteristic
508D4×D79—22no—
509D4×D79—22no—
510C22×Dic79—21no—
511C22×Dic79—21no—
512C22×Dic79—21no—
513C2×C4×D79—21no—
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×D79C2411yescharacteristic
529C2×C4×D79C2411yescharacteristic
530#11929607—22no—
531#11929607—22no—
532C2×C79⋊C8C2411yescharacteristic
533C2×C79⋊C8C2411yescharacteristic
534C2×C79⋊C8C2411yescharacteristic
535C2×C79⋊C8C2411yescharacteristic
536C8×D79—22no—
537C8×D79—22no—
538C4⋊Dic79—21no—
539C4⋊Dic79—21no—
540C4⋊Dic79—21no—
541C4⋊Dic79—21no—
542C4⋊Dic79—21no—
543C4⋊Dic79—21no—
544C4⋊Dic79—21no—
545C4⋊Dic79—21no—
546C4⋊Dic79—21no—
547C4⋊Dic79C2×D411yescharacteristic
548C4⋊Dic79C2×D411yescharacteristic
549C4⋊Dic79C2411yescharacteristic
550C4⋊Dic79C2411yescharacteristic
551C4⋊Dic79C2411yescharacteristic
552C4⋊Dic79C2411yescharacteristic
553C4⋊Dic79C2411yescharacteristic
554C4⋊Dic79C2411yescharacteristic
555Dic79⋊C4—21no—
556Dic79⋊C4—21no—
557Dic79⋊C4—21no—
558Dic79⋊C4—21no—
559Dic79⋊C4—21no—
560Dic79⋊C4—21no—
561Dic79⋊C4—21no—
562Dic79⋊C4—21no—
563Dic79⋊C4—21no—
564Dic79⋊C4—21no—
565Dic79⋊C4—21no—
566Dic79⋊C4—21no—
567Dic79⋊C4—21no—
568Dic79⋊C4—21no—
569Dic79⋊C4—21no—
570Dic79⋊C4—21no—
571Dic79⋊C4—21no—
572Dic79⋊C4—21no—
573Dic79⋊C4—21no—
574Dic79⋊C4—21no—
575Dic79⋊C4—21no—
576Dic79⋊C4—21no—
577Dic79⋊C4—21no—
578Dic79⋊C4—21no—
579Dic79⋊C4C2×D411yescharacteristic
580Dic79⋊C4C2×D411yescharacteristic
581Dic79⋊C4C2×D411yescharacteristic
582Dic79⋊C4C2×D411yescharacteristic
583C22⋊Dic79—21no—
584C22⋊Dic79—21no—
585C22⋊Dic79C2×D411yescharacteristic
586C22⋊Dic79C2×D411yescharacteristic
587(C2×D79)⋊C4—21no—
588(C2×D79)⋊C4—21no—
589(C2×D79)⋊C4—21no—
590(C2×D79)⋊C4—21no—
591(C2×D79)⋊C4—21no—
592(C2×D79)⋊C4—21no—
593(C2×D79)⋊C4—21no—
594(C2×D79)⋊C4—21no—
595(C2×D79)⋊C4—21no—
596(C2×D79)⋊C4—21no—
597(C2×D79)⋊C4—21no—
598(C2×D79)⋊C4—21no—
599(C2×D79)⋊C4—21no—
600(C2×D79)⋊C4—21no—
601(C2×D79)⋊C4—21no—
602(C2×D79)⋊C4—21no—
603(C2×D79)⋊C4C2×D411yescharacteristic
604(C2×D79)⋊C4C2×D411yescharacteristic
605(C2×D79)⋊C4C2×D411yescharacteristic
606(C2×D79)⋊C4C2×D411yescharacteristic
607C4×Dic79—21no—
608C4×Dic79—21no—
609C4×Dic79—21no—
610C4×Dic79—21no—
611C4×Dic79—21no—
612C4×Dic79—21no—
613C4×Dic79C2×D411yescharacteristic
614C4×Dic79C2×D411yescharacteristic
615C4×Dic79C2×D411yescharacteristic
616C4×Dic79C2×D411yescharacteristic
617C4×Dic79C2411yescharacteristic
618C4×Dic79C2411yescharacteristic
619C2×Q8×C79—21no—
620C2×Q8×C79—21no—
621C2×Q8×C79C2411yescharacteristic
622C2×D4×C79—21no—
623C2×D4×C79C2411yescharacteristic
624C22×C4×C79—21no—
625C22×C4×C79C2×D411yescharacteristic
626C22×C4×C79C2×D411yescharacteristic
627C22×C4×C79C2411yescharacteristic
628C2×C8×C79C2411yescharacteristic
629C2×C8×C79C2411yescharacteristic
630C2×C8×C79C2411yescharacteristic
631C2×C8×C79C2411yescharacteristic
632C4⋊C4×C79—21no—
633C4⋊C4×C79—21no—
634C4⋊C4×C79—21no—
635C4⋊C4×C79—21no—
636C4⋊C4×C79—21no—
637C4⋊C4×C79—21no—
638C4⋊C4×C79—21no—
639C4⋊C4×C79—21no—
640C4⋊C4×C79—21no—
641C4⋊C4×C79—21no—
642C4⋊C4×C79C2411yescharacteristic
643C4⋊C4×C79C2411yescharacteristic
644C4⋊C4×C79C2411yescharacteristic
645C4⋊C4×C79C2411yescharacteristic
646C4⋊C4×C79C2411yescharacteristic
647C4⋊C4×C79C2411yescharacteristic
648C22⋊C4×C79—21no—
649C22⋊C4×C79—21no—
650C22⋊C4×C79—21no—
651C22⋊C4×C79—21no—
652C22⋊C4×C79—21no—
653C22⋊C4×C79—21no—
654C22⋊C4×C79—21no—
655C42×C79—21no—
656C42×C79—21no—
657C42×C79—21no—
658C42×C79C2×D411yescharacteristic
659C42×C79C2×D411yescharacteristic
660C42×C79C2411yescharacteristic
661C42×C79C2411yescharacteristic
662C23×C79—21no—
663C23×C79C22×D411yescharacteristic
664C22×D79—21no—
665C22×D79—21no—
666C22×D79—42no—
667C22×D79—81no—
668C22×D79—81no—
669C22×D79C22×D411yescharacteristic
670C22×D79C22×D411yescharacteristic
671Q8×C79—21no—
672Q8×C79—21no—
673Q8×C79—81no—
674Q8×C79—81no—
675D4×C79—21no—
676D4×C79—21no—
677D4×C79—81no—
678C2×C4×C79—21no—
679C2×C4×C79—21no—
680C2×C4×C79—21no—
681C2×C4×C79—21no—
682C2×C4×C79—21no—
683C2×C4×C79—21no—
684C2×C4×C79—21no—
685C2×C4×C79—21no—
686C2×C4×C79—21no—
687C2×C4×C79—41no—
688C2×C4×C79—41no—
689C2×C4×C79—42no—
690C2×C4×C79C22×D411yescharacteristic
691C2×C4×C79C22×D411yescharacteristic
692C2×C4×C79C22×D411yescharacteristic
693C2×C4×C79C22×D411yescharacteristic
694C2×C4×C79C22×D411yescharacteristic
695C2×C4×C79C2511yescharacteristic
696C22⋊D79—22no—
697C22⋊D79—22no—
698C22⋊D79—42no—
699C22⋊D79—81no—
700C22⋊D79—81no—
701C22⋊D79—81no—
702C22⋊D79—81no—
703C22⋊D79—81no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—21no—
710C2×Dic79—81no—
711C2×Dic79—81no—
712C2×Dic79—81no—
713C2×Dic79C22×D411yescharacteristic
714C2×Dic79C22×D411yescharacteristic
715C2×Dic79C22×D411yescharacteristic
716C2×Dic79C22×D411yescharacteristic
717C2×Dic79C22×D411yescharacteristic
718C2×Dic79C22×D411yescharacteristic
719D316—22no—
720D316—21no—
721D316—21no—
722D316—21no—
723D316—21no—
724D316—42no—
725D316—81no—
726D316—81no—
727D316—81no—
728D316—81no—
729C4×D79—21no—
730C4×D79—21no—
731C4×D79—41no—
732C4×D79—41no—
733C4×D79—41no—
734C4×D79—41no—
735C4×D79—42no—
736C4×D79—42no—
737C4×D79—42no—
738C4×D79—81no—
739C4×D79—81no—
740C4×D79—81no—
741C4×D79—81no—
742C4×D79—81no—
743C4×D79—81no—
744C4×D79—81no—
745C4×D792−1+412yes—
746C4×D792−1+412yes—
747Dic158—22no—
748Dic158—81no—
749Dic158—81no—
750Dic158—81no—
751Dic158—81no—
752Dic158—81no—
753Dic158—81no—
754C8×C79—21no—
755C8×C79—21no—
756C8×C79—21no—
757C8×C79—21no—
758C79⋊C8—21no—
759C79⋊C8—21no—
760C79⋊C8—21no—
761C79⋊C8—21no—
762C22×C79—21no—
763C22×C79—21no—
764C22×C79—21no—
765C22×C79—41no—
766C22×C79—41no—
767C22×C79—41no—
768C22×C79C23×D411yescharacteristic
769C2×D79—21no—
770C2×D79—21no—
771C2×D79—21no—
772C2×D79—21no—
773C2×D79—21no—
774C2×D79—41no—
775C2×D79—41no—
776C2×D79—41no—
777C2×D79—41no—
778C2×D79—41no—
779C2×D79—41no—
780C2×D79—84no—
781C2×D79#53612yes—
782C4×C79—21no—
783C4×C79—21no—
784C4×C79—21no—
785C4×C79—21no—
786C4×C79—21no—
787C4×C79—41no—
788C4×C79—41no—
789C4×C79—41no—
790C4×C79—41no—
791C4×C79—41no—
792C4×C79—41no—
793C4×C79—41no—
794C4×C79C2×2−1+411yescharacteristic
795C4×C79C2×2−1+411yescharacteristic
796Dic79—21no—
797Dic79—21no—
798Dic79—21no—
799Dic79—21no—
800Dic79—21no—
801Dic79—41no—
802Dic79—41no—
803Dic79—41no—
804Dic79—41no—
805Dic79—41no—
806Dic79—41no—
807Dic79#53612yes—
808#60890—791nomaximal, Sylow
809C2×C79—41no—
810C2×C79—81no—
811C2×C79C2×#53611yescharacteristic
812C2×C79#358411yescharacteristic
813C2×C79#358511yescharacteristic
814D79—22no—
815D79—41no—
816D79—81no—
817D79—81no—
818#3504—791no—
819#3460—791no—
820#3244—791no—
821#3244—791no—
822#3243—791no—
823#3243—791no—
824#3241—791no—
825#3241—791no—
826#3241—791no—
827#3241—791no—
828#3240—791no—
829#3240D7911yescharacteristic, complemented
830#3234—791no—
831#3234—791no—
832#3232—791no—
833#3232—791no—
834#3228—791no—
835#3228—791no—
836#3164—791no—
837#3163—791no—
838#3136—791no—
839#3136—791no—
840#3099—791no—
841#3098—791no—
842#3096—791no—
843#3096—791no—
844#3080—791no—
845#3077—791no—
846#3076—791no—
847C2×#478—791no—
848#2925—791no—
849C79#6089011yescharacteristic, complemented, Sylow
850#557—1581no—
851#557—1581no—
852#554—1581no—
853#554—1581no—
854#554—1581no—
855#554—1581no—
856#554—1581no—
857#554—1581no—
858#544—791no—
859#544—791no—
860#544—791no—
861#544—791no—
862#544—791no—
863#544—791no—
864#544—791no—
865#542—791no—
866#542—791no—
867#542—1581no—
868#540—791no—
869#540—791no—
870#540—1581no—
871#538—1581no—
872#538—1581no—
873#537—791no—
874#535—791no—
875#535—791no—
876#533—791no—
877#533—791no—
878#533C2×D7911yescharacteristic, complemented
879#532—791no—
880#532—791no—
881#532—1581no—
882#529—791no—
883#529—1581no—
884#529C2×D7911yescharacteristic
885C2×#125—791no—
886C2×#125—791no—
887C2×#125—791no—
888#525—1581no—
889#525—1581no—
890#520—791no—
891#520—791no—
892C4×#41—791no—
893C4×#41—791no—
894C2×C4×D4—791no—
895#501—791no—
896#501—791no—
897#501—791no—
898#501—791no—
899#501—791no—
900#501—791no—
901#501C2×D7911yescharacteristic, complemented
902#501C2×D7911yescharacteristic, complemented
903#500—791no—
904#500—791no—
905#499—791no—
906#499—791no—
907#499—791no—
908#499—791no—
909#498—791no—
910#498—791no—
911#490—791no—
912#490—791no—
913#490—791no—
914#490—791no—
915#489—791no—
916#489—791no—
917#489C2×D7911yescharacteristic
918#489C2×D7911yescharacteristic
919#488—791no—
920#488—791no—
921#488—791no—
922#488—791no—
923#486—791no—
924#486—791no—
925#486—791no—
926#486—791no—
927#485—791no—
928#485—791no—
929#485C2×D7911yescharacteristic, complemented
930#485C2×D7911yescharacteristic, complemented
931#484—791no—
932#484—791no—
933#483—791no—
934#483—791no—
935#482—791no—
936#482—791no—
937#482—791no—
938#482—791no—
939#482—791no—
940#482—791no—
941#482—791no—
942#482—791no—
943#482—791no—
944#482—791no—
945#482C2×D7911yescharacteristic
946#482C2×D7911yescharacteristic
947#481—791no—
948#481—791no—
949#481—791no—
950#481—791no—
951#481—791no—
952#481—791no—
953#480—791no—
954#480—791no—
955#480—791no—
956#480—791no—
957#480—791no—
958#480—791no—
959#479—791no—
960#479—791no—
961#479—791no—
962#479—791no—
963#479C2×D7911yescharacteristic, complemented
964#479C2×D7911yescharacteristic, complemented
965#478—791no—
966#478—791no—
967#478—791no—
968#478—791no—
969#478—791no—
970#478—791no—
971#478—791no—
972#478—791no—
973#478—791no—
974#478—791no—
975#478—791no—
976#478—791no—
977#478—791no—
978#478—791no—
979#478—791no—
980#478—791no—
981#478C2×D7911yescharacteristic
982#478C2×D7911yescharacteristic
983#477—791no—
984#476—791no—
985#476—791no—
986#476—791no—
987#475—791no—
988#474—791no—
989#474—791no—
990#474—791no—
991#433—791no—
992#433—791no—
993#433—791no—
994#433—791no—
995#432—791no—
996#432C2×D7911yescharacteristic, complemented
997#431—791no—
998#431—791no—
999#428—791no—
1000#428—791no—
1001#428—791no—
1002#428—791no—
1003#427—791no—
1004#427—791no—
1005C2×#107—791no—
1006C2×#106—791no—
1007#423—791no—
1008C2×C4⋊C8—791no—
1009#418—791no—
1010#418—791no—
1011#417—791no—
1012#417—791no—
1013#416—791no—
1014#416—791no—
1015C2×#102—791no—
1016C2×#102—791no—
1017#408—791no—
1018#408—791no—
1019#405—791no—
1020#405—791no—
1021C2×#41—791no—
1022C2×#41—791no—
1023C2×#41—1581no—
1024C2×#41—1581no—
1025C22×D4—791no—
1026C23×C4—1581no—
1027C2×M16—791no—
1028C2×M16—791no—
1029C22×C8—791no—
1030C22×C8—791no—
1031C4⋊Q8—791no—
1032C4⋊Q8—791no—
1033C4⋊Q8—791no—
1034C4⋊Q8—791no—
1035C4⋊Q8—791no—
1036C4⋊Q8—791no—
1037C4⋊Q8—1581no—
1038C4⋊Q8—1581no—
1039C4⋊Q8—1581no—
1040C4⋊Q8—1581no—
1041C4⋊Q8—1581no—
1042C4⋊Q8—1581no—
1043C4⋊Q8—1581no—
1044C4⋊Q8C22×D7911yescharacteristic
1045C4⋊Q8C22×D7911yescharacteristic
1046#127—791no—
1047#127—791no—
1048#127—1581no—
1049#126—21no—
1050#126—1581no—
1051#126—1581no—
1052#126—1581no—
1053#125—791no—
1054#125—791no—
1055#125—791no—
1056#125—791no—
1057#125—791no—
1058#125—791no—
1059#125—791no—
1060#125—791no—
1061#125—791no—
1062#125—1581no—
1063#125—1581no—
1064#125—1581no—
1065#125—1581no—
1066#125—1581no—
1067#125—1581no—
1068#125—1581no—
1069#125—1581no—
1070#125—1581no—
1071#125—1581no—
1072#125—1581no—
1073#125—1581no—
1074#125—1581no—
1075#125C22×D7911yescharacteristic
1076#125C22×D7911yescharacteristic
1077#125C22×D7911yescharacteristic
1078#124—791no—
1079#124—1581no—
1080#124—1581no—
1081#124—1581no—
1082#124—1581no—
1083#124—1581no—
1084#124C22×D7911yescharacteristic
1085#123—21no—
1086#123—1581no—
1087#123—1581no—
1088#123—1581no—
1089#123—1581no—
1090#123—1581no—
1091#123—1581no—
1092#123—1581no—
1093C22⋊Q8—21no—
1094C22⋊Q8—21no—
1095C22⋊Q8—791no—
1096C22⋊Q8—1581no—
1097C22⋊Q8—1581no—
1098C22⋊Q8—1581no—
1099C22⋊Q8—1581no—
1100C22⋊Q8—1581no—
1101C22⋊Q8—1581no—
1102C22⋊Q8—1581no—
1103C22⋊Q8—1581no—
1104C22⋊Q8—1581no—
1105C22⋊Q8—1581no—
1106C22⋊Q8—1581no—
1107C22⋊Q8—1581no—
1108C22⋊Q8—1581no—
1109C22⋊Q8—1581no—
1110C22⋊Q8—1581no—
1111C22⋊Q8—1581no—
1112C22⋊Q8—1581no—
1113C22⋊Q8—1581no—
1114C22⋊Q8—1581no—
1115C22⋊Q8—1581no—
1116C22⋊Q8—1581no—
1117C22⋊Q8C22×D7911yescharacteristic
1118#121—791no—
1119#121—791no—
1120#121—791no—
1121#121—791no—
1122#121—791no—
1123#121—1581no—
1124#121—1581no—
1125#121—1581no—
1126#121—1581no—
1127#121—1581no—
1128#121—1581no—
1129#121—1581no—
1130#121—1581no—
1131#121—1581no—
1132#121—1581no—
1133#121—1581no—
1134#121C22×D7911yescharacteristic
1135#120—1581no—
1136#120—1581no—
1137#120—1581no—
1138#120—1581no—
1139C4×Q8—21no—
1140C4×Q8—21no—
1141C4×Q8—791no—
1142C4×Q8—791no—
1143C4×Q8—791no—
1144C4×Q8—1581no—
1145C4×Q8—1581no—
1146C4×Q8—1581no—
1147C4×Q8—1581no—
1148C4×Q8—1581no—
1149C4×Q8—1581no—
1150C4×Q8C22×D7911yescharacteristic
1151C4×D4—21no—
1152C4×D4—791no—
1153C4×D4—791no—
1154C4×D4—791no—
1155C4×D4—791no—
1156C4×D4—791no—
1157C4×D4—791no—
1158C4×D4—791no—
1159C4×D4—791no—
1160C4×D4—791no—
1161C4×D4—791no—
1162C4×D4—791no—
1163C4×D4—1581no—
1164C4×D4—1581no—
1165C4×D4—1581no—
1166C4×D4—1581no—
1167C4×D4—1581no—
1168C4×D4—1581no—
1169C4×D4—1581no—
1170C4×D4—1581no—
1171C4×D4—1581no—
1172C4×D4—1581no—
1173C4×D4—1581no—
1174C4×D4—1581no—
1175C4×D4—1581no—
1176C4×D4C22×D7911yescharacteristic
1177#117—21no—
1178#117—791no—
1179#117—791no—
1180#117—791no—
1181#117—791no—
1182#117—791no—
1183#117—791no—
1184#117—791no—
1185#117—791no—
1186#117—1581no—
1187#117—1581no—
1188#117C22×D7911yescharacteristic
1189#117C22×D7911yescharacteristic
1190C2×C4⋊C4—791no—
1191C2×C4⋊C4—791no—
1192C2×C4⋊C4—791no—
1193C2×C4⋊C4—791no—
1194C2×C4⋊C4—791no—
1195C2×C4⋊C4—791no—
1196C2×C4⋊C4—791no—
1197C2×C4⋊C4—1581no—
1198C2×C4⋊C4—1581no—
1199C2×C4⋊C4—1581no—
1200C2×C4⋊C4—1581no—
1201C2×C4⋊C4—1581no—
1202C2×C4⋊C4—1581no—
1203C2×C22⋊C4—1581no—
1204C2×C42—791no—
1205C2×C42—791no—
1206C2×C42—1581no—
1207C2×C42C22×D7911yescharacteristic
1208#107—791no—
1209#107—791no—
1210#107—791no—
1211#107—791no—
1212#107—791no—
1213#107—791no—
1214#107—791no—
1215#107—791no—
1216#107—791no—
1217#107—791no—
1218#107—791no—
1219#107—791no—
1220#107C22×D7911yescharacteristic
1221#107C22×D7911yescharacteristic
1222#107C22×D7911yescharacteristic
1223#107C22×D7911yescharacteristic
1224#106—791no—
1225#106—791no—
1226#106—791no—
1227#106—791no—
1228#106—791no—
1229#106—791no—
1230#106—791no—
1231#106—791no—
1232#106—791no—
1233#106—791no—
1234#106—791no—
1235#106—791no—
1236#106C22×D7911yescharacteristic
1237#106C22×D7911yescharacteristic
1238#106C22×D7911yescharacteristic
1239#106C22×D7911yescharacteristic
1240C4⋊C8—791no—
1241C4⋊C8—791no—
1242C4⋊C8—791no—
1243C4⋊C8—791no—
1244C4⋊C8—791no—
1245C4⋊C8—791no—
1246C4⋊C8C22×D7911yescharacteristic
1247C4⋊C8C22×D7911yescharacteristic
1248#103—791no—
1249#103—791no—
1250#103—791no—
1251#103—791no—
1252#103C22×D7911yescharacteristic
1253#103C22×D7911yescharacteristic
1254#103C22×D7911yescharacteristic
1255#103C22×D7911yescharacteristic
1256#102—791no—
1257#102—791no—
1258#102—791no—
1259#102—791no—
1260#102—791no—
1261#102—791no—
1262#102—791no—
1263#102—791no—
1264#102—791no—
1265#102—791no—
1266#102—791no—
1267#102—791no—
1268#102—791no—
1269#102—791no—
1270#102—791no—
1271#102—791no—
1272#102—791no—
1273#102—791no—
1274#102—791no—
1275#102—791no—
1276#102C22×D7911yescharacteristic
1277#102C22×D7911yescharacteristic
1278#102C22×D7911yescharacteristic
1279#102C22×D7911yescharacteristic
1280C22⋊C8—791no—
1281C22⋊C8—791no—
1282C22⋊C8—791no—
1283C22⋊C8—791no—
1284C22⋊C8—791no—
1285C22⋊C8—791no—
1286C22⋊C8C22×D7911yescharacteristic
1287C22⋊C8C22×D7911yescharacteristic
1288#97—791no—
1289#97—791no—
1290#97C22×D7911yescharacteristic
1291#97C22×D7911yescharacteristic
1292C4×C8—791no—
1293C4×C8—791no—
1294C4×C8—791no—
1295C4×C8—791no—
1296C24—1581no—
1297#41—6322no—
1298#41—6322no—
1299#41—1582no—
1300#41—1582no—
1301#41—1582no—
1302#41—1582no—
1303C2×Q8—21no—
1304C2×Q8—21no—
1305C2×Q8—791no—
1306C2×Q8—1581no—
1307C2×Q8—1581no—
1308C2×Q8—1581no—
1309C2×Q8—1581no—
1310C2×Q8—1581no—
1311C2×Q8—1581no—
1312C2×Q8C23×D7911yescharacteristic
1313C2×D4—21no—
1314C2×D4—791no—
1315C2×D4—791no—
1316C2×D4—791no—
1317C2×D4—791no—
1318C2×D4—791no—
1319C2×D4—1581no—
1320C2×D4—1581no—
1321C2×D4—1581no—
1322C2×D4—1582no—
1323C2×D4—1582no—
1324C2×D4—1581no—
1325C2×D4—1581no—
1326C2×D4—1581no—
1327C2×D4—1581no—
1328C2×D4—1581no—
1329C2×D4—1581no—
1330C2×D4—1581no—
1331C2×D4—1581no—
1332C2×D4C23×D7911yescharacteristic
1333C22×C4—21no—
1334C22×C4—791no—
1335C22×C4—791no—
1336C22×C4—791no—
1337C22×C4—791no—
1338C22×C4—791no—
1339C22×C4—791no—
1340C22×C4—6322no—
1341C22×C4—1581no—
1342C22×C4—1581no—
1343C22×C4—1581no—
1344C22×C4—1581no—
1345C22×C4—1581no—
1346C22×C4—1581no—
1347C22×C4—1581no—
1348C22×C4—1581no—
1349C22×C4—1581no—
1350C22×C4—1581no—
1351C22×C4—1581no—
1352C22×C4—1581no—
1353C22×C4—1581no—
1354C22×C4D4×D7911yescharacteristic
1355C22×C4D4×D7911yescharacteristic
1356C22×C4C23×D7911yescharacteristic
1357M16—1582no—
1358M16—1582no—
1359C2×C8—791no—
1360C2×C8—791no—
1361C2×C8—791no—
1362C2×C8—791no—
1363C2×C8—1582no—
1364C2×C8—1582no—
1365C2×C8C23×D7911yescharacteristic
1366C2×C8C23×D7911yescharacteristic
1367C2×C8C23×D7911yescharacteristic
1368C2×C8C23×D7911yescharacteristic
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—791no—
1380C4⋊C4—791no—
1381C4⋊C4—791no—
1382C4⋊C4—791no—
1383C4⋊C4—791no—
1384C4⋊C4—791no—
1385C4⋊C4—791no—
1386C4⋊C4—791no—
1387C4⋊C4—791no—
1388C4⋊C4—791no—
1389C4⋊C4—791no—
1390C4⋊C4—791no—
1391C4⋊C4—1581no—
1392C4⋊C4—1581no—
1393C4⋊C4—1581no—
1394C4⋊C4—1581no—
1395C4⋊C4—1581no—
1396C4⋊C4—1581no—
1397C4⋊C4—1581no—
1398C4⋊C4—1581no—
1399C4⋊C4—1581no—
1400C4⋊C4—1581no—
1401C4⋊C4—1581no—
1402C4⋊C4—1581no—
1403C4⋊C4—1581no—
1404C4⋊C4—1581no—
1405C4⋊C4—1581no—
1406C4⋊C4—1581no—
1407C4⋊C4—1581no—
1408C4⋊C4—1581no—
1409C4⋊C4—1581no—
1410C4⋊C4—1581no—
1411C4⋊C4—1581no—
1412C4⋊C4—1581no—
1413C4⋊C4—1581no—
1414C4⋊C4—1581no—
1415C4⋊C4—1581no—
1416C4⋊C4—1581no—
1417C4⋊C4—1581no—
1418C4⋊C4—1581no—
1419C4⋊C4—1581no—
1420C4⋊C4—1581no—
1421C4⋊C4—1581no—
1422C4⋊C4—1581no—
1423C4⋊C4—1581no—
1424C4⋊C4C23×D7911yescharacteristic
1425C4⋊C4C23×D7911yescharacteristic
1426C4⋊C4C23×D7911yescharacteristic
1427C4⋊C4C23×D7911yescharacteristic
1428C4⋊C4C23×D7911yescharacteristic
1429C4⋊C4C23×D7911yescharacteristic
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—21no—
1435C22⋊C4—21no—
1436C22⋊C4—21no—
1437C22⋊C4—791no—
1438C22⋊C4—791no—
1439C22⋊C4—791no—
1440C22⋊C4—791no—
1441C22⋊C4—791no—
1442C22⋊C4—791no—
1443C22⋊C4—1581no—
1444C22⋊C4—1581no—
1445C22⋊C4—1581no—
1446C22⋊C4—1581no—
1447C22⋊C4—1581no—
1448C22⋊C4—1581no—
1449C22⋊C4—1581no—
1450C22⋊C4—1581no—
1451C22⋊C4—1581no—
1452C22⋊C4—1581no—
1453C22⋊C4—1581no—
1454C22⋊C4—1581no—
1455C22⋊C4—1581no—
1456C22⋊C4—1581no—
1457C22⋊C4—1581no—
1458C22⋊C4—1581no—
1459C22⋊C4—1581no—
1460C22⋊C4—1581no—
1461C42—21no—
1462C42—21no—
1463C42—21no—
1464C42—791no—
1465C42—791no—
1466C42—791no—
1467C42—791no—
1468C42—791no—
1469C42—791no—
1470C42—1581no—
1471C42—1581no—
1472C42—1581no—
1473C42—1581no—
1474C42—1581no—
1475C42—1581no—
1476C42D4×D7911yescharacteristic
1477C42D4×D7911yescharacteristic
1478C42C23×D7911yescharacteristic
1479C42C23×D7911yescharacteristic
1480C23—21no—
1481C23—3162no—
1482C23—791no—
1483C23—791no—
1484C23—6321no—
1485C23—6321no—
1486C23—1581no—
1487C23—1581no—
1488C23C2×D4×D7911yescharacteristic
1489Q8—21no—
1490Q8—21no—
1491Q8—81no—
1492Q8—81no—
1493Q8—6321no—
1494Q8—6321no—
1495Q8—6321no—
1496Q8—6321no—
1497Q8—6321no—
1498Q8—6321no—
1499Q8—1582no—
1500D4—21no—
1501D4—21no—
1502D4—81no—
1503D4—3162no—
1504D4—3162no—
1505D4—6321no—
1506D4—6321no—
1507D4—6321no—
1508D4—6321no—
1509D4—6321no—
1510D4—6321no—
1511D4—6321no—
1512D4—6321no—
1513D4—6321no—
1514D4—1582no—
1515D4—1582no—
1516D4—1582no—
1517D4—1581no—
1518D4—1581no—
1519D4—1581no—
1520D4—1581no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—41no—
1531C2×C4—41no—
1532C2×C4—42no—
1533C2×C4—3162no—
1534C2×C4—3162no—
1535C2×C4—3161no—
1536C2×C4—3161no—
1537C2×C4—3161no—
1538C2×C4—3161no—
1539C2×C4—3162no—
1540C2×C4—791no—
1541C2×C4—792no—
1542C2×C4—792no—
1543C2×C4—791no—
1544C2×C4—791no—
1545C2×C4—791no—
1546C2×C4—791no—
1547C2×C4—791no—
1548C2×C4—6321no—
1549C2×C4—6321no—
1550C2×C4—6321no—
1551C2×C4—6321no—
1552C2×C4—6321no—
1553C2×C4—6321no—
1554C2×C4—6321no—
1555C2×C4—6321no—
1556C2×C4—6321no—
1557C2×C4—6321no—
1558C2×C4—1581no—
1559C2×C4—1581no—
1560C2×C4—1581no—
1561C2×C4—1581no—
1562C2×C4—1581no—
1563C2×C4—1581no—
1564C2×C4—1581no—
1565C2×C4—1581no—
1566C2×C4C2×D4×D7911yescharacteristic
1567C2×C4C2×D4×D7911yescharacteristic
1568C2×C4C2×D4×D7911yescharacteristic
1569C2×C4C2×D4×D7911yescharacteristic
1570C2×C4C2×D4×D7911yescharacteristic
1571C2×C4C24×D7911yescharacteristic
1572C8—21no—
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—1581no—
1577C8—1581no—
1578C8—1581no—
1579C8—1581no—
1580C22—21no—
1581C22—21no—
1582C22—21no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—3161no—
1587C22—3161no—
1588C22—3161no—
1589C22—3161no—
1590C22—3161no—
1591C22—3161no—
1592C22—792no—
1593C22—6324no—
1594C22—1581no—
1595C22—1581no—
1596C22—1581no—
1597C22—1581no—
1598C22—1581no—
1599C22C22×D4×D7911yescharacteristic
1600C4—21no—
1601C4—21no—
1602C4—21no—
1603C4—21no—
1604C4—21no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—3161no—
1613C4—3161no—
1614C4—3161no—
1615C4—3161no—
1616C4—3161no—
1617C4—3161no—
1618C4—792no—
1619C4—1581no—
1620C4—1581no—
1621C4—1581no—
1622C4—1581no—
1623C4—1581no—
1624C42−1+4×D7911yescharacteristic
1625C42−1+4×D7911yescharacteristic
1626C2—41no—
1627C2—81no—
1628C2—3161no—
1629C2—6321no—
1630C2—6321no—
1631C2—1582no—
1632C2#536×D7911yescharacteristic
1633C2#2377817311yescharacteristic
1634C2#2377817711yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3240C2
socleC22×C79C23×D4
prime radical#23776821C2
hypercenter#3240D79
hypocenterC79#60890
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3240

Complements

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

NH ≅ G/Ntype
1. #23777221C2semidirect
3. #23774704C2semidirect
4. #23774693C2semidirect
5. #23774689C2semidirect
6. #23774678C2semidirect
7. #23774659C2semidirect
8. #23774654C2semidirect
9. #23774654C2semidirect
10. #23774651C2semidirect
11. #23774645C2semidirect
12. #23774592C2semidirect
13. #23774588C2semidirect
14. #23774572C2semidirect
15. #23774564C2semidirect
16. #23774536C2semidirect
17. #23774535C2semidirect
18. #23773935C2semidirect
19. #23773927C2semidirect
20. #23773751C2semidirect
21. #23773751C2semidirect
22. #23773386C2semidirect
23. #23773381C2semidirect
24. #23773355C2semidirect
25. #23773353C2semidirect
26. #23773219C2semidirect
27. #23773195C2semidirect
28. #23773187C2semidirect
29. #478×D79C2semidirect
30. #23772067C2semidirect
31. C79×#3240C2semidirect
41. #19099191C22semidirect
42. #19099191C22semidirect
45. #19099190C22semidirect
46. #19099190C22semidirect
59. #19099119C22semidirect
65. C2×#14579153C22semidirect
67. #125×D79C22semidirect
75. #19098972C22semidirect
76. #19098972C22semidirect
77. #19098971C22semidirect
78. #19098971C22semidirect
79. #19098970C22semidirect
80. #19098970C22semidirect
81. #19098967C22semidirect
82. #19098966C22semidirect
83. #19098964C22semidirect
84. #19098963C22semidirect
85. #19098962C22semidirect
86. #19098962C22semidirect
87. #19098960C22semidirect
88. #19098959C22semidirect
103. #19098903C22semidirect
104. #19098902C22semidirect
105. #19098897C22semidirect
106. #19098896C22semidirect
107. #19098892C22semidirect
108. #19098891C22semidirect
110. #19098890C22semidirect
112. #19098889C22semidirect
115. #19098887C22semidirect
116. #19098887C22semidirect
120. #19098883C22semidirect
122. #19098882C22semidirect
126. #19098878C22semidirect
128. #19098877C22semidirect
131. #19098872C22semidirect
132. #19098870C22semidirect
133. #19098870C22semidirect
134. #19098868C22semidirect
136. #19098866C22semidirect
140. #19098864C22semidirect
141. #19098864C22semidirect
145. #19098862C22semidirect
149. #19098860C22semidirect
150. #19098860C22semidirect
151. #19098856C22semidirect
153. #19098852C22semidirect
155. #19098846C22semidirect
157. #19098842C22semidirect
159. #19098625C22semidirect
160. #19098625C22semidirect
161. #19098621C22semidirect
162. #19098621C22semidirect
163. #19098619C22semidirect
164. #19098616C22semidirect
165. #19098615C22semidirect
188. #533×C79C22semidirect
190. #501×C79C22semidirect
191. #501×C79C22semidirect
194. #485×C79C22semidirect
195. #485×C79C22semidirect
198. #479×C79C22semidirect
199. #479×C79C22semidirect
202. #432×C79C22semidirect
829. #3240D79semidirect
849. C79#60890semidirect
878. #533C2×D79semidirect
901. #501C2×D79semidirect
902. #501C2×D79semidirect
929. #485C2×D79semidirect
930. #485C2×D79semidirect
963. #479C2×D79semidirect
964. #479C2×D79semidirect
996. #432C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237772212
#237768212
#237747042
#237746932
#237746892
#237746782
#237746592
#237746542
#237746512
#237746452
#237745922
#237745882
#237745722
#237745642
#237745362
#237745352
#237739352
#237739272
#237737512
#237733862
#237733812
#237733552
#237733532
#237732192
#237731952
#237731872
#478×D792
#237720672
C79×#32402
#6089079