Finite Group Databasebeta

← #35160961

Subgroups — #35160961

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#23777223C211yesmaximal, characteristic, complemented
2#23776820C211yesmaximal, characteristic
3#23774705C211yesmaximal, characteristic, complemented
4#23774692C211yesmaximal, characteristic, complemented
5#23774688C211yesmaximal, characteristic, complemented
6#23774660C211yesmaximal, characteristic, complemented
7#23774655C211yesmaximal, characteristic, complemented
8#23774653C211yesmaximal, characteristic, complemented
9#23774650C211yesmaximal, characteristic, complemented
10#23774644C211yesmaximal, characteristic, complemented
11#23774635C211yesmaximal, characteristic, complemented
12#23774591C211yesmaximal, characteristic, complemented
13#23774587C211yesmaximal, characteristic, complemented
14#23774573C211yesmaximal, characteristic, complemented
15#23774563C211yesmaximal, characteristic, complemented
16#23774539C211yesmaximal, characteristic, complemented
17#23774534C211yesmaximal, characteristic, complemented
18#23773933C211yesmaximal, characteristic, complemented
19#23773927C211yesmaximal, characteristic, complemented
20#23773753C211yesmaximal, characteristic, complemented
21#23773751C211yesmaximal, characteristic, complemented
22#23773386C211yesmaximal, characteristic, complemented
23#23773379C211yesmaximal, characteristic, complemented
24#23773355C211yesmaximal, characteristic, complemented
25#23773351C211yesmaximal, characteristic, complemented
26#23773219C211yesmaximal, characteristic, complemented
27#23773192C211yesmaximal, characteristic, complemented
28#23773191C211yesmaximal, characteristic, complemented
29#478×D79C211yesmaximal, characteristic, complemented
30#23772063C211yesmaximal, characteristic, complemented
31C79×#3243C211yesmaximal, characteristic, complemented
32#19099290—21no—
33#19099288—21no—
34#19099274—21no—
35#19099271—21no—
36#19099271—21no—
37#19099269—21no—
38#19099267—21no—
39#19099267—21no—
40#19099193C2211yescharacteristic
41#19099193C2211yescharacteristic, complemented
42#19099191C2211yescharacteristic, complemented
43#19099190C2211yescharacteristic
44#19099190C2211yescharacteristic
45#19099190C2211yescharacteristic, complemented
46#19099185C2211yescharacteristic
47#19099183—21no—
48#19099168C2211yescharacteristic
49#19099165—21no—
50#19099164C2211yescharacteristic
51#19099152—21no—
52#19099147—21no—
53#19099143C2211yescharacteristic
54#19099131C2211yescharacteristic
55#19099129C2211yescharacteristic
56#19099118C2211yescharacteristic
57#19099118C2211yescharacteristic, complemented
58#19099116C2211yescharacteristic, complemented
59#19099114C2211yescharacteristic
60#19099112—21no—
61#19099108C2211yescharacteristic
62#19099099C2211yescharacteristic
63#19099096—21no—
64#19099092C2211yescharacteristic
65C2×#14579152C2211yescharacteristic, complemented
66#125×D79C2211yescharacteristic
67#125×D79C2211yescharacteristic, complemented
68#19099076—21no—
69#19099071—21no—
70#19099044C2211yescharacteristic
71#19099043C2211yescharacteristic
72C4×#11929625C2211yescharacteristic
73#19099031C2211yescharacteristic
74C4×D4×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#19098965C2211yescharacteristic, complemented
84#19098964C2211yescharacteristic, complemented
85#19098964C2211yescharacteristic, complemented
86#19098962C2211yescharacteristic, complemented
87#19098960C2211yescharacteristic, complemented
88#19098959C2211yescharacteristic, complemented
89#19098929C2211yescharacteristic
90#19098928C2211yescharacteristic
91#19098926C2211yescharacteristic
92#19098926C2211yescharacteristic
93#19098924C2211yescharacteristic
94#19098924C2211yescharacteristic
95#19098922C2211yescharacteristic
96#19098919C2211yescharacteristic
97#19098919C2211yescharacteristic
98#19098917C2211yescharacteristic
99#19098911C2211yescharacteristic
100#19098910C2211yescharacteristic
101#19098908C2211yescharacteristic
102#19098908C2211yescharacteristic
103#19098902C2211yescharacteristic, complemented
104#19098902C2211yescharacteristic, complemented
105#19098901C2211yescharacteristic, complemented
106#19098897C2211yescharacteristic, complemented
107#19098892C2211yescharacteristic, complemented
108#19098891C2211yescharacteristic, complemented
109#19098890C2211yescharacteristic
110#19098890C2211yescharacteristic
111#19098890C2211yescharacteristic, complemented
112#19098890C2211yescharacteristic, complemented
113#19098888C2211yescharacteristic
114#19098888C2211yescharacteristic, complemented
115#19098887C2211yescharacteristic
116#19098887C2211yescharacteristic, complemented
117#19098885C2211yescharacteristic
118#19098885C2211yescharacteristic
119#19098884C2211yescharacteristic
120#19098883C2211yescharacteristic
121#19098883C2211yescharacteristic, complemented
122#19098882C2211yescharacteristic, complemented
123#19098881C2211yescharacteristic
124#19098880C2211yescharacteristic
125#19098879C2211yescharacteristic
126#19098878C2211yescharacteristic
127#19098878C2211yescharacteristic, complemented
128#19098877C2211yescharacteristic
129#19098876C2211yescharacteristic, complemented
130#19098875C2211yescharacteristic
131#19098872C2211yescharacteristic, complemented
132#19098872C2211yescharacteristic, complemented
133#19098872C2211yescharacteristic, complemented
134#19098870C2211yescharacteristic, complemented
135#19098868C2211yescharacteristic, complemented
136#19098866C2211yescharacteristic
137#19098866C2211yescharacteristic
138#19098866C2211yescharacteristic
139#19098866C2211yescharacteristic, complemented
140#19098866C2211yescharacteristic, complemented
141#19098866C2211yescharacteristic, complemented
142#19098865C2211yescharacteristic
143#19098865C2211yescharacteristic
144#19098865C2211yescharacteristic
145#19098864C2211yescharacteristic
146#19098864C2211yescharacteristic, complemented
147#19098863C2211yescharacteristic
148#19098862C2211yescharacteristic
149#19098862C2211yescharacteristic, complemented
150#19098861C2211yescharacteristic
151#19098860C2211yescharacteristic
152#19098860C2211yescharacteristic, complemented
153#19098854C2211yescharacteristic
154#19098853C2211yescharacteristic
155#19098850C2211yescharacteristic, complemented
156#19098848C2211yescharacteristic, complemented
157#19098844C2211yescharacteristic, complemented
158#19098840C2211yescharacteristic
159#19098624C2211yescharacteristic, complemented
160#19098623C2211yescharacteristic, complemented
161#19098623C2211yescharacteristic, complemented
162#19098618C2211yescharacteristic, complemented
163#19098617C2211yescharacteristic, complemented
164#19098614C2211yescharacteristic, complemented
165#19098613C2211yescharacteristic, complemented
166#19098604C2211yescharacteristic
167#19098604C2211yescharacteristic
168#19098604C2211yescharacteristic
169#19098602C2211yescharacteristic
170#19098600C2211yescharacteristic
171#19098600C2211yescharacteristic
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#19098517C2211yescharacteristic
188#544×C79C2211yescharacteristic, complemented
189#542×C79C2211yescharacteristic
190#501×C79C2211yescharacteristic, complemented
191#500×C79C2211yescharacteristic, complemented
192#489×C79C2211yescharacteristic
193#488×C79C2211yescharacteristic
194#485×C79C2211yescharacteristic, complemented
195#484×C79C2211yescharacteristic, complemented
196#482×C79C2211yescharacteristic
197#480×C79C2211yescharacteristic
198#479×C79C2211yescharacteristic, complemented
199#478×C79C2211yescharacteristic
200#477×C79C2211yescharacteristic, complemented
201#474×C79C2211yescharacteristic
202#433×C79C2211yescharacteristic, complemented
203C2×#11929625—21no—
204C2×#11929625C2311yescharacteristic
205C2×#11929624C2311yescharacteristic
206C2×#11929623—21no—
207C2×D4×D79C2311yescharacteristic
208C22×C4×D79—21no—
209C2×#11929607C2311yescharacteristic
210C2×#11929607C2311yescharacteristic
211C2×C8×D79C2311yescharacteristic
212C2×C8×D79C2311yescharacteristic
213#14579161C2311yescharacteristic
214#14579161C2311yescharacteristic
215#14579160—21no—
216#14579160—21no—
217#14579160—21no—
218#14579160C2311yescharacteristic
219#14579160C2311yescharacteristic
220#14579160C2311yescharacteristic
221#14579159—21no—
222#14579159—21no—
223#14579159—21no—
224#14579158C2311yescharacteristic
225#14579157—21no—
226#14579157C2311yescharacteristic
227#14579156—21no—
228#14579155—21no—
229#14579154—21no—
230#14579153C2311yescharacteristic
231#14579153C2311yescharacteristic
232#14579153C2311yescharacteristic
233#14579152—21no—
234#14579152—21no—
235#14579152—21no—
236#14579152C2311yescharacteristic
237#14579152C2311yescharacteristic
238#14579152C2311yescharacteristic
239#14579152C2311yescharacteristic
240#14579152C2311yescharacteristic
241#14579152C2311yescharacteristic
242#14579152C2311yescharacteristic
243#14579151—21no—
244#14579151—21no—
245#14579151—21no—
246#14579151—21no—
247#14579151—21no—
248#14579151—21no—
249#14579151—21no—
250#14579151—21no—
251#14579151—21no—
252#14579150—21no—
253#14579150C2311yescharacteristic
254#14579149—21no—
255#14579147—21no—
256#14579147—21no—
257#14579146—21no—
258#14579146—21no—
259#14579146—21no—
260#14579145—21no—
261#14579144—21no—
262#14579143—21no—
263#14579143—21no—
264#14579141—21no—
265#14579141—21no—
266#14579141—21no—
267#14579141—21no—
268#14579139—21no—
269#14579139—21no—
270#14579139—21no—
271#14579139—21no—
272#14579139—21no—
273#14579139—21no—
274#14579139—21no—
275#14579138—21no—
276#14579138—21no—
277#14579138—21no—
278#14579138—21no—
279#14579137—21no—
280#14579137—21no—
281#14579137—21no—
282#14579137—21no—
283#14579137—21no—
284#14579137C2311yescharacteristic
285#14579136—21no—
286#14579136—21no—
287#14579136C2311yescharacteristic
288#14579136C2311yescharacteristic
289#14579135—21no—
290#14579135C2311yescharacteristic
291#14579135C2311yescharacteristic
292#14579134—21no—
293#14579134—21no—
294#14579134—21no—
295#14579134—21no—
296#14579134—21no—
297#14579134—21no—
298#14579134—21no—
299#14579133—21no—
300#14579132C2311yescharacteristic
301#14579131—21no—
302#14579131—21no—
303#14579131—21no—
304#14579129—21no—
305Q8×Dic79—21no—
306Q8×Dic79—21no—
307Q8×Dic79C2311yescharacteristic
308C4×Dic158—21no—
309C4×Dic158—21no—
310C4×Dic158—21no—
311#14579126—21no—
312#14579126—21no—
313#14579126—21no—
314#14579126D411yescharacteristic
315#14579126D411yescharacteristic
316C4×D316—21no—
317C4×D316—21no—
318C4×D316C2311yescharacteristic
319C4×D316C2311yescharacteristic
320D4×Dic79C2311yescharacteristic
321#14579123—21no—
322#14579123—21no—
323#14579123—21no—
324#14579123D411yescharacteristic
325#14579123D411yescharacteristic
326#14579123C2311yescharacteristic
327#14579123C2311yescharacteristic
328C4×C22⋊D79—21no—
329C4×C22⋊D79—21no—
330C4×C22⋊D79—21no—
331(C22⋊D79)⋊C4—21no—
332(C22⋊D79)⋊C4—21no—
333(C22⋊D79)⋊C4—21no—
334(C22⋊D79)⋊C4—21no—
335(C22⋊D79)⋊C4—21no—
336(C22⋊D79)⋊C4—21no—
337(C22⋊D79)⋊C4D411yescharacteristic
338(C22⋊D79)⋊C4D411yescharacteristic
339(C22⋊D79)⋊C4D411yescharacteristic
340(C22⋊D79)⋊C4D411yescharacteristic
341#14579120C2311yescharacteristic
342#14579119—21no—
343#14579119—21no—
344#14579119C2311yescharacteristic
345#14579119C2311yescharacteristic
346#14579119C2311yescharacteristic
347#14579119C2311yescharacteristic
348#14579119C2311yescharacteristic
349#14579118C2311yescharacteristic
350#14579118C2311yescharacteristic
351#14579117—21no—
352C2×C4⋊Dic79—21no—
353C2×C4⋊Dic79C2311yescharacteristic
354C2×Dic79⋊C4—21no—
355C4⋊C4×D79—21no—
356C4⋊C4×D79—21no—
357C4⋊C4×D79—21no—
358C4⋊C4×D79—21no—
359C4⋊C4×D79C2311yescharacteristic
360C4⋊C4×D79C2311yescharacteristic
361C4⋊C4×D79C2311yescharacteristic
362C4⋊C4×D79C2311yescharacteristic
363C4⋊C4×D79C2311yescharacteristic
364C22⋊C4×D79—21no—
365C2×C4×Dic79C2311yescharacteristic
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#14579093C2311yescharacteristic
380#14579093C2311yescharacteristic
381#14579093C2311yescharacteristic
382#14579093C2311yescharacteristic
383#14579092C2311yescharacteristic
384#14579092C2311yescharacteristic
385#14579092C2311yescharacteristic
386#14579092C2311yescharacteristic
387#14579092C2311yescharacteristic
388#14579092C2311yescharacteristic
389#14579092C2311yescharacteristic
390#14579092C2311yescharacteristic
391#14579092C2311yescharacteristic
392#14579092C2311yescharacteristic
393C4⋊(C79⋊C8)C2311yescharacteristic
394C4⋊(C79⋊C8)C2311yescharacteristic
395Dic79⋊C8C2311yescharacteristic
396Dic79⋊C8C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399#14579085C2311yescharacteristic
400#14579085C2311yescharacteristic
401#14579085C2311yescharacteristic
402#14579085C2311yescharacteristic
403#14579083C2311yescharacteristic
404#14579083C2311yescharacteristic
405#14579083C2311yescharacteristic
406#14579083C2311yescharacteristic
407#14579083C2311yescharacteristic
408#14579083C2311yescharacteristic
409#14579083C2311yescharacteristic
410#14579083C2311yescharacteristic
411#14579082C2311yescharacteristic
412#14579082C2311yescharacteristic
413#14579082C2311yescharacteristic
414#14579082C2311yescharacteristic
415#14579081C2311yescharacteristic
416#14579081C2311yescharacteristic
417#14579081C2311yescharacteristic
418#14579081C2311yescharacteristic
419#14579081C2311yescharacteristic
420#14579081C2311yescharacteristic
421#14579081C2311yescharacteristic
422#14579081C2311yescharacteristic
423C22⋊(C79⋊C8)C2311yescharacteristic
424C22⋊(C79⋊C8)C2311yescharacteristic
425(C2×D79)⋊C8C2311yescharacteristic
426(C2×D79)⋊C8C2311yescharacteristic
427(C2×D79)⋊C8C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429#14579072C2311yescharacteristic
430#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—
479#11929625—22no—
480#11929625—22no—
481#11929625—82no—
482#11929624—22no—
483#11929624—22no—
484#11929623—82no—
485C2×Dic158—21no—
486C2×Dic158—21no—
487C2×Dic158—21no—
488C2×Dic158—21no—
489C2×Dic158—21no—
490C2×Dic158C2×D411yescharacteristic
491C2×D316—21no—
492C2×D316—21no—
493C2×D316—21no—
494C2×D316—21no—
495C2×D316—21no—
496C2×D316C2×D411yescharacteristic
497C2×D316C2411yescharacteristic
498C2×D316C2411yescharacteristic
499C2×C22⋊D79—21no—
500C2×C22⋊D79—21no—
501C2×C22⋊D79—21no—
502C2×C22⋊D79—21no—
503C2×C22⋊D79—21no—
504C2×C22⋊D79—21no—
505C2×C22⋊D79C2×D411yescharacteristic
506C2×C22⋊D79C2×D411yescharacteristic
507D4×D79—22no—
508D4×D79—22no—
509C22×Dic79—21no—
510C22×Dic79—21no—
511C22×Dic79C2×D411yescharacteristic
512C22×Dic79C2×D411yescharacteristic
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⋊Dic79—21no—
548C4⋊Dic79—21no—
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⋊C4C2×D411yescharacteristic
578Dic79⋊C4C2×D411yescharacteristic
579Dic79⋊C4C2×D411yescharacteristic
580Dic79⋊C4C2×D411yescharacteristic
581C22⋊Dic79—21no—
582C22⋊Dic79—21no—
583C22⋊Dic79—21no—
584(C2×D79)⋊C4—21no—
585(C2×D79)⋊C4—21no—
586(C2×D79)⋊C4—21no—
587(C2×D79)⋊C4—21no—
588(C2×D79)⋊C4—21no—
589(C2×D79)⋊C4—21no—
590(C2×D79)⋊C4—21no—
591(C2×D79)⋊C4—21no—
592(C2×D79)⋊C4—21no—
593(C2×D79)⋊C4—21no—
594(C2×D79)⋊C4—21no—
595(C2×D79)⋊C4—21no—
596(C2×D79)⋊C4—21no—
597(C2×D79)⋊C4—21no—
598(C2×D79)⋊C4—21no—
599(C2×D79)⋊C4—21no—
600(C2×D79)⋊C4C2×D411yescharacteristic
601(C2×D79)⋊C4C2×D411yescharacteristic
602(C2×D79)⋊C4C2×D411yescharacteristic
603(C2×D79)⋊C4C2×D411yescharacteristic
604C4×Dic79—21no—
605C4×Dic79—21no—
606C4×Dic79—21no—
607C4×Dic79—21no—
608C4×Dic79—21no—
609C4×Dic79—21no—
610C4×Dic79—21no—
611C4×Dic79C2×D411yescharacteristic
612C4×Dic79C2×D411yescharacteristic
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×C79—21no—
622C2×Q8×C79C2411yescharacteristic
623C2×D4×C79—21no—
624C2×D4×C79C2411yescharacteristic
625C22×C4×C79—21no—
626C22×C4×C79—21no—
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×C79C2×D411yescharacteristic
643C4⋊C4×C79C2×D411yescharacteristic
644C4⋊C4×C79C2411yescharacteristic
645C4⋊C4×C79C2411yescharacteristic
646C4⋊C4×C79C2411yescharacteristic
647C4⋊C4×C79C2411yescharacteristic
648C4⋊C4×C79C2411yescharacteristic
649C4⋊C4×C79C2411yescharacteristic
650C22⋊C4×C79—21no—
651C22⋊C4×C79—21no—
652C22⋊C4×C79—21no—
653C22⋊C4×C79—21no—
654C22⋊C4×C79—21no—
655C22⋊C4×C79—21no—
656C22⋊C4×C79C2×D411yescharacteristic
657C22⋊C4×C79C2×D411yescharacteristic
658C42×C79—21no—
659C42×C79—21no—
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—
675Q8×C79—81no—
676D4×C79—21no—
677D4×C79—21no—
678D4×C79—81no—
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—21no—
688C2×C4×C79—81no—
689C2×C4×C79—81no—
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—41no—
711C2×Dic79—41no—
712C2×Dic79—42no—
713C2×Dic79—81no—
714C2×Dic79C22×D411yescharacteristic
715C2×Dic79C22×D411yescharacteristic
716C2×Dic79C22×D411yescharacteristic
717C2×Dic79C22×D411yescharacteristic
718C2×Dic79C22×D411yescharacteristic
719C2×Dic79C22×D411yescharacteristic
720D316—22no—
721D316—21no—
722D316—21no—
723D316—21no—
724D316—21no—
725D316—42no—
726D316—81no—
727D316—81no—
728D316—81no—
729D316—81no—
730C4×D79—21no—
731C4×D79—21no—
732C4×D79—41no—
733C4×D79—41no—
734C4×D79—41no—
735C4×D79—41no—
736C4×D79—42no—
737C4×D79—42no—
738C4×D79—42no—
739C4×D79—81no—
740C4×D79—81no—
741C4×D79—81no—
742C4×D79—81no—
743C4×D79—81no—
744C4×D79—81no—
745C4×D79—81no—
746C4×D792−1+412yes—
747C4×D792−1+412yes—
748Dic158—22no—
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#3243D7911yescharacteristic, complemented
824#3241—791no—
825#3241—791no—
826#3241—791no—
827#3241—791no—
828#3240—791no—
829#3240—791no—
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#544C2×D7911yescharacteristic, complemented
865#542—791no—
866#542—1581no—
867#542C2×D7911yescharacteristic
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#533—791no—
879#532—791no—
880#532—791no—
881#532—1581no—
882#529—791no—
883#529—791no—
884#529—1581no—
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#501—791no—
902#501C2×D7911yescharacteristic, complemented
903#500—791no—
904#500C2×D7911yescharacteristic, complemented
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#489—791no—
918#489C2×D7911yescharacteristic
919#488—791no—
920#488—791no—
921#488—791no—
922#488C2×D7911yescharacteristic
923#486—791no—
924#486—791no—
925#486—791no—
926#486—791no—
927#485—791no—
928#485—791no—
929#485—791no—
930#485C2×D7911yescharacteristic, complemented
931#484—791no—
932#484C2×D7911yescharacteristic, complemented
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#482—791no—
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#480C2×D7911yescharacteristic
959#479—791no—
960#479—791no—
961#479—791no—
962#479—791no—
963#479—791no—
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#478—791no—
982#478C2×D7911yescharacteristic
983#477C2×D7911yescharacteristic, complemented
984#476—791no—
985#476—791no—
986#476—791no—
987#475—791no—
988#474—791no—
989#474—791no—
990#474C2×D7911yescharacteristic
991#433—791no—
992#433—791no—
993#433—791no—
994#433C2×D7911yescharacteristic, complemented
995#432—791no—
996#432—791no—
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—21no—
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⋊Q8C22×D7911yescharacteristic
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—21no—
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—791no—
1063#125—791no—
1064#125—1581no—
1065#125—1581no—
1066#125—1581no—
1067#125—1581no—
1068#125—1581no—
1069#125—1581no—
1070#125—1581no—
1071#125—1581no—
1072#125—1581no—
1073#125—1581no—
1074#125—1581no—
1075#125—1581no—
1076#125C22×D7911yescharacteristic
1077#125C22×D7911yescharacteristic
1078#124—21no—
1079#124—791no—
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—21no—
1096C22⋊Q8—791no—
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—791no—
1140C4×Q8—791no—
1141C4×Q8—791no—
1142C4×Q8—1581no—
1143C4×Q8—1581no—
1144C4×Q8—1581no—
1145C4×Q8—1581no—
1146C4×Q8—1581no—
1147C4×Q8—1581no—
1148C4×Q8—1581no—
1149C4×Q8—1581no—
1150C4×Q8C22×D7911yescharacteristic
1151C4×D4—791no—
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—1581no—
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—791no—
1178#117—791no—
1179#117—791no—
1180#117—791no—
1181#117—791no—
1182#117—791no—
1183#117—791no—
1184#117—791no—
1185#117—1581no—
1186#117—1581no—
1187#117—1581no—
1188#117C22×D7911yescharacteristic
1189#117C22×D7911yescharacteristic
1190C2×C4⋊C4—791no—
1191C2×C4⋊C4—791no—
1192C2×C4⋊C4—791no—
1193C2×C4⋊C4—791no—
1194C2×C4⋊C4—791no—
1195C2×C4⋊C4—791no—
1196C2×C4⋊C4—1581no—
1197C2×C4⋊C4—1581no—
1198C2×C4⋊C4—1581no—
1199C2×C4⋊C4—1581no—
1200C2×C4⋊C4—1581no—
1201C2×C4⋊C4—1581no—
1202C2×C4⋊C4C22×D7911yescharacteristic
1203C2×C22⋊C4—1581no—
1204C2×C42—791no—
1205C2×C42—791no—
1206C2×C42—791no—
1207C2×C42—1581no—
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#107C22×D7911yescharacteristic
1219#107C22×D7911yescharacteristic
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#106—791no—
1237#106—791no—
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#97—791no—
1291#97C22×D7911yescharacteristic
1292C4×C8—791no—
1293C4×C8—791no—
1294C4×C8—791no—
1295C4×C8C22×D7911yescharacteristic
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—21no—
1306C2×Q8—791no—
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—21no—
1335C22×C4—791no—
1336C22×C4—791no—
1337C22×C4—791no—
1338C22×C4—791no—
1339C22×C4—791no—
1340C22×C4—791no—
1341C22×C4—791no—
1342C22×C4—791no—
1343C22×C4—6322no—
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×C4—1581no—
1355C22×C4—1581no—
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—1581no—
1390C4⋊C4—1581no—
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⋊C4D4×D7911yescharacteristic
1423C4⋊C4D4×D7911yescharacteristic
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—791no—
1437C22⋊C4—791no—
1438C22⋊C4—791no—
1439C22⋊C4—791no—
1440C22⋊C4—1581no—
1441C22⋊C4—1581no—
1442C22⋊C4—1581no—
1443C22⋊C4—1581no—
1444C22⋊C4—1581no—
1445C22⋊C4—1581no—
1446C22⋊C4—1581no—
1447C22⋊C4—1581no—
1448C22⋊C4—1581no—
1449C22⋊C4—1581no—
1450C22⋊C4—1581no—
1451C22⋊C4—1581no—
1452C22⋊C4—1581no—
1453C22⋊C4—1581no—
1454C22⋊C4—1581no—
1455C22⋊C4—1581no—
1456C22⋊C4—1581no—
1457C22⋊C4—1581no—
1458C22⋊C4—1581no—
1459C22⋊C4D4×D7911yescharacteristic
1460C22⋊C4D4×D7911yescharacteristic
1461C42—21no—
1462C42—21no—
1463C42—791no—
1464C42—791no—
1465C42—791no—
1466C42—791no—
1467C42—791no—
1468C42—791no—
1469C42—791no—
1470C42—791no—
1471C42—1581no—
1472C42—1581no—
1473C42—1581no—
1474C42—1581no—
1475C42—1581no—
1476C42—1581no—
1477C42—1581no—
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—81no—
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—81no—
1531C2×C4—81no—
1532C2×C4—3161no—
1533C2×C4—3161no—
1534C2×C4—3161no—
1535C2×C4—3161no—
1536C2×C4—3162no—
1537C2×C4—3162no—
1538C2×C4—3162no—
1539C2×C4—3162no—
1540C2×C4—3161no—
1541C2×C4—3161no—
1542C2×C4—791no—
1543C2×C4—792no—
1544C2×C4—792no—
1545C2×C4—791no—
1546C2×C4—791no—
1547C2×C4—791no—
1548C2×C4—791no—
1549C2×C4—791no—
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#2377817011yescharacteristic
1634C2#2377817511yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3243C2
socleC22×C79C23×D4
prime radical#23776820C2
hypercenter#3243D79
hypocenterC79#60890
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
1. #23777223C2semidirect
3. #23774705C2semidirect
4. #23774692C2semidirect
5. #23774688C2semidirect
6. #23774660C2semidirect
7. #23774655C2semidirect
8. #23774653C2semidirect
9. #23774650C2semidirect
10. #23774644C2semidirect
11. #23774635C2semidirect
12. #23774591C2semidirect
13. #23774587C2semidirect
14. #23774573C2semidirect
15. #23774563C2semidirect
16. #23774539C2semidirect
17. #23774534C2semidirect
18. #23773933C2semidirect
19. #23773927C2semidirect
20. #23773753C2semidirect
21. #23773751C2semidirect
22. #23773386C2semidirect
23. #23773379C2semidirect
24. #23773355C2semidirect
25. #23773351C2semidirect
26. #23773219C2semidirect
27. #23773192C2semidirect
28. #23773191C2semidirect
29. #478×D79C2semidirect
30. #23772063C2semidirect
31. C79×#3243C2semidirect
41. #19099193C22semidirect
42. #19099191C22semidirect
45. #19099190C22semidirect
57. #19099118C22semidirect
58. #19099116C22semidirect
65. C2×#14579152C22semidirect
67. #125×D79C22semidirect
75. #19098972C22semidirect
76. #19098971C22semidirect
77. #19098971C22semidirect
78. #19098971C22semidirect
79. #19098970C22semidirect
80. #19098969C22semidirect
81. #19098969C22semidirect
82. #19098967C22semidirect
83. #19098965C22semidirect
84. #19098964C22semidirect
85. #19098964C22semidirect
86. #19098962C22semidirect
87. #19098960C22semidirect
88. #19098959C22semidirect
103. #19098902C22semidirect
104. #19098902C22semidirect
105. #19098901C22semidirect
106. #19098897C22semidirect
107. #19098892C22semidirect
108. #19098891C22semidirect
111. #19098890C22semidirect
112. #19098890C22semidirect
114. #19098888C22semidirect
116. #19098887C22semidirect
121. #19098883C22semidirect
122. #19098882C22semidirect
127. #19098878C22semidirect
129. #19098876C22semidirect
131. #19098872C22semidirect
132. #19098872C22semidirect
133. #19098872C22semidirect
134. #19098870C22semidirect
135. #19098868C22semidirect
139. #19098866C22semidirect
140. #19098866C22semidirect
141. #19098866C22semidirect
146. #19098864C22semidirect
149. #19098862C22semidirect
152. #19098860C22semidirect
155. #19098850C22semidirect
156. #19098848C22semidirect
157. #19098844C22semidirect
159. #19098624C22semidirect
160. #19098623C22semidirect
161. #19098623C22semidirect
162. #19098618C22semidirect
163. #19098617C22semidirect
164. #19098614C22semidirect
165. #19098613C22semidirect
188. #544×C79C22semidirect
190. #501×C79C22semidirect
191. #500×C79C22semidirect
194. #485×C79C22semidirect
195. #484×C79C22semidirect
198. #479×C79C22semidirect
200. #477×C79C22semidirect
202. #433×C79C22semidirect
823. #3243D79semidirect
849. C79#60890semidirect
864. #544C2×D79semidirect
902. #501C2×D79semidirect
904. #500C2×D79semidirect
930. #485C2×D79semidirect
932. #484C2×D79semidirect
964. #479C2×D79semidirect
983. #477C2×D79semidirect
994. #433C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237772232
#237768202
#237747052
#237746922
#237746882
#237746602
#237746552
#237746532
#237746502
#237746442
#237746352
#237745912
#237745872
#237745732
#237745632
#237745392
#237745342
#237739332
#237739272
#237737532
#237737512
#237733862
#237733792
#237733552
#237733512
#237732192
#237731922
#237731912
#478×D792
#237720632
C79×#32432
#6089079