Finite Group Databasebeta

← #35168421

Subgroups — #35168421

Order 20224.

1852 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777270C211yesmaximal, characteristic, complemented
2#23777220C211yesmaximal, characteristic, complemented
3#23776175C211yesmaximal, characteristic, complemented
4#23776170C211yesmaximal, characteristic, complemented
5#23776166C211yesmaximal, characteristic, complemented
6#23776163C211yesmaximal, characteristic, complemented
7#23776158C211yesmaximal, characteristic, complemented
8#23776153C211yesmaximal, characteristic, complemented
9#23776149C211yesmaximal, characteristic, complemented
10#23776146C211yesmaximal, characteristic, complemented
11#23776134C211yesmaximal, characteristic, complemented
12#23776132C211yesmaximal, characteristic, complemented
13#23776126C211yesmaximal, characteristic, complemented
14#23776125C211yesmaximal, characteristic, complemented
15#23776111C211yesmaximal, characteristic, complemented
16#23776108C211yesmaximal, characteristic, complemented
17#23776102C211yesmaximal, characteristic, complemented
18#23773755C211yesmaximal, characteristic, complemented
19#23773749C211yesmaximal, characteristic, complemented
20#490×D79C211yesmaximal, characteristic, complemented
21#23773230C211yesmaximal, characteristic, complemented
22#23773226C211yesmaximal, characteristic, complemented
23#23773217C211yesmaximal, characteristic, complemented
24#23772934C211yesmaximal, characteristic, complemented
25#23772934C211yesmaximal, characteristic, complemented
26#23772875C211yesmaximal, characteristic, complemented
27#23772336C211yesmaximal, characteristic, complemented
28#23772229C211yesmaximal, characteristic, complemented
29#23772225C211yesmaximal, characteristic, complemented
30#23772197C211yesmaximal, characteristic, complemented
31C79×#3366C211yesmaximal, characteristic, complemented
32C2×#14579185C2211yescharacteristic
33C2×#14579185C2211yescharacteristic
34C2×#14579180C2211yescharacteristic
35#19099299C2211yescharacteristic
36#19099298C2211yescharacteristic
37#19099296C2211yescharacteristic
38#19099296C2211yescharacteristic
39#19099291C2211yescharacteristic, complemented
40#19099290C2211yescharacteristic, complemented
41#19099290C2211yescharacteristic, complemented
42#19099288C2211yescharacteristic, complemented
43#19099272C2211yescharacteristic, complemented
44#19099272C2211yescharacteristic, complemented
45#19099271—21no—
46#19099270C2211yescharacteristic, complemented
47#19099268—21no—
48#19099267—21no—
49#19099267—21no—
50#19099234C2211yescharacteristic
51#19099233C2211yescharacteristic
52#19099233C2211yescharacteristic
53#19099210—21no—
54#19099202—21no—
55#19099202—21no—
56#19099201—21no—
57#19099193C2211yescharacteristic
58#19099192—21no—
59#19099192—21no—
60#19099190C2211yescharacteristic
61#19099163—21no—
62#19099163—21no—
63#19099126C2211yescharacteristic
64#19099126C2211yescharacteristic
65#19099117C2211yescharacteristic
66#19099115—21no—
67#19099109—21no—
68#19099108—21no—
69#127×D79C2211yescharacteristic
70C2×#14579151—21no—
71#125×D79C2211yescharacteristic
72#19099042C2211yescharacteristic
73#19099042C2211yescharacteristic
74#19099035C2211yescharacteristic
75#19099035C2211yescharacteristic
76C4×#11929623C2211yescharacteristic
77C4×#11929623C2211yescharacteristic
78#19098929C2211yescharacteristic
79#19098928C2211yescharacteristic
80#19098927C2211yescharacteristic
81#19098927C2211yescharacteristic, complemented
82#19098926C2211yescharacteristic
83#19098926C2211yescharacteristic
84#19098926C2211yescharacteristic
85#19098926C2211yescharacteristic
86#19098926C2211yescharacteristic, complemented
87#19098926C2211yescharacteristic, complemented
88#19098925C2211yescharacteristic, complemented
89#19098923C2211yescharacteristic, complemented
90#19098921C2211yescharacteristic, complemented
91#19098921C2211yescharacteristic, complemented
92#19098920C2211yescharacteristic, complemented
93#19098918C2211yescharacteristic, complemented
94#19098916C2211yescharacteristic, complemented
95#19098916C2211yescharacteristic, complemented
96#19098909C2211yescharacteristic, complemented
97#19098908C2211yescharacteristic, complemented
98#19098908C2211yescharacteristic, complemented
99#19098873C2211yescharacteristic, complemented
100#19098871C2211yescharacteristic, complemented
101#19098869C2211yescharacteristic, complemented
102#19098867C2211yescharacteristic, complemented
103#19098865C2211yescharacteristic, complemented
104#19098865C2211yescharacteristic, complemented
105#19098865C2211yescharacteristic, complemented
106#19098864C2211yescharacteristic, complemented
107#19098863C2211yescharacteristic, complemented
108#19098863C2211yescharacteristic, complemented
109#19098862C2211yescharacteristic, complemented
110#19098862C2211yescharacteristic, complemented
111#19098861C2211yescharacteristic, complemented
112#19098860C2211yescharacteristic, complemented
113#19098854C2211yescharacteristic, complemented
114#19098852C2211yescharacteristic, complemented
115#19098851C2211yescharacteristic, complemented
116#19098843C2211yescharacteristic, complemented
117#19098842C2211yescharacteristic, complemented
118#19098841C2211yescharacteristic, complemented
119#19098840C2211yescharacteristic, complemented
120#19098786C2211yescharacteristic, complemented
121#19098786C2211yescharacteristic, complemented
122#19098784C2211yescharacteristic, complemented
123#19098784C2211yescharacteristic, complemented
124#19098778C2211yescharacteristic, complemented
125#19098778C2211yescharacteristic, complemented
126#19098776C2211yescharacteristic, complemented
127#19098776C2211yescharacteristic, complemented
128#19098764C2211yescharacteristic
129#19098762C2211yescharacteristic
130#19098762C2211yescharacteristic
131#19098762C2211yescharacteristic, complemented
132#19098762C2211yescharacteristic, complemented
133#19098760C2211yescharacteristic
134#19098760C2211yescharacteristic, complemented
135#19098760C2211yescharacteristic, complemented
136#19098758C2211yescharacteristic
137#19098756C2211yescharacteristic
138#19098756C2211yescharacteristic
139#19098756C2211yescharacteristic, complemented
140#19098756C2211yescharacteristic, complemented
141#19098694C2211yescharacteristic, complemented
142#19098693C2211yescharacteristic, complemented
143#19098692C2211yescharacteristic, complemented
144#19098692C2211yescharacteristic, complemented
145#19098691C2211yescharacteristic, complemented
146#19098691C2211yescharacteristic, complemented
147#19098690C2211yescharacteristic, complemented
148#19098675C2211yescharacteristic, complemented
149#19098675C2211yescharacteristic, complemented
150#19098673C2211yescharacteristic, complemented
151#19098672C2211yescharacteristic, complemented
152#19098671C2211yescharacteristic, complemented
153#19098669C2211yescharacteristic, complemented
154#19098665C2211yescharacteristic, complemented
155#19098663C2211yescharacteristic, complemented
156#19098663C2211yescharacteristic, complemented
157#19098663C2211yescharacteristic, complemented
158#19098662C2211yescharacteristic, complemented
159#19098660C2211yescharacteristic, complemented
160#19098660C2211yescharacteristic, complemented
161#19098660C2211yescharacteristic, complemented
162#19098654C2211yescharacteristic, complemented
163C4×#11929613C2211yescharacteristic, complemented
164#19098650C2211yescharacteristic, complemented
165C4×#11929612C2211yescharacteristic, complemented
166D8×Dic79C2211yescharacteristic, complemented
167C4×#11929609C2211yescharacteristic, complemented
168#19098643C2211yescharacteristic, complemented
169#19098604C2211yescharacteristic
170#19098602C2211yescharacteristic
171#19098598C2211yescharacteristic
172#19098588C2211yescharacteristic
173#19098588C2211yescharacteristic
174#19098585C2211yescharacteristic
175#19098566C2211yescharacteristic
176#19098566C2211yescharacteristic
177#19098561C2211yescharacteristic
178#19098561C2211yescharacteristic
179#19098556C2211yescharacteristic
180#19098556C2211yescharacteristic
181#102×D79C2211yescharacteristic
182#102×D79C2211yescharacteristic
183#102×D79C2211yescharacteristic
184#102×D79C2211yescharacteristic
185#19098520C2211yescharacteristic
186#19098517C2211yescharacteristic
187#97×D79C2211yescharacteristic
188#554×C79C2211yescharacteristic, complemented
189#550×C79C2211yescharacteristic
190#490×C79C2211yescharacteristic
191#490×C79C2211yescharacteristic, complemented
192#486×C79C2211yescharacteristic, complemented
193#478×C79C2211yescharacteristic, complemented
194#478×C79C2211yescharacteristic, complemented
195#476×C79C2211yescharacteristic, complemented
196#459×C79C2211yescharacteristic
197#459×C79C2211yescharacteristic, complemented
198#459×C79C2211yescharacteristic, complemented
199#446×C79C2211yescharacteristic, complemented
200#442×C79C2211yescharacteristic, complemented
201#442×C79C2211yescharacteristic, complemented
202C4×D8×C79C2211yescharacteristic, complemented
203C2×#11929624—21no—
204C2×#11929623—21no—
205C2×#11929623—21no—
206C2×#11929623C2311yescharacteristic
207C2×#11929623C2311yescharacteristic
208C2×D4×D79—21no—
209C2×D4×D79—21no—
210C2×D4×D79C2311yescharacteristic
211C2×D4×D79C2311yescharacteristic
212#14579185—24no—
213#14579185—24no—
214#14579180—24no—
215C2×Dic316C2311yescharacteristic
216C2×#11929613C2311yescharacteristic
217C2×#11929613C2311yescharacteristic
218C2×#11929612C2311yescharacteristic
219C2×#11929612C2311yescharacteristic
220C2×#11929612C2311yescharacteristic
221C2×#11929612C2311yescharacteristic
222C2×#11929609C2311yescharacteristic
223C2×#11929609C2311yescharacteristic
224C2×#11929607C2311yescharacteristic
225C2×#11929607C2311yescharacteristic
226C2×C8×D79C2311yescharacteristic
227C2×C8×D79C2311yescharacteristic
228#14579161C2311yescharacteristic
229#14579160—21no—
230#14579160—21no—
231#14579160—21no—
232#14579160D411yescharacteristic
233#14579160C2311yescharacteristic
234#14579160C2311yescharacteristic
235#14579159—21no—
236#14579159—21no—
237#14579159—21no—
238#14579159D411yescharacteristic
239#14579158C2311yescharacteristic
240#14579157—21no—
241#14579157—21no—
242#14579157C2311yescharacteristic
243#14579157C2311yescharacteristic
244#14579157C2311yescharacteristic
245#14579157C2311yescharacteristic
246#14579153C2311yescharacteristic
247#14579153C2311yescharacteristic
248#14579152C2311yescharacteristic
249#14579152C2311yescharacteristic
250#14579152C2311yescharacteristic
251#14579152C2311yescharacteristic
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#14579151—21no—
261#14579151—21no—
262#14579151—21no—
263#14579151—21no—
264#14579151D411yescharacteristic
265#14579151D411yescharacteristic
266#14579150—21no—
267#14579149C2311yescharacteristic
268#14579149C2311yescharacteristic
269#14579148—21no—
270#14579148C2311yescharacteristic
271#14579148C2311yescharacteristic
272#14579147—21no—
273#14579147—21no—
274#14579146—21no—
275#14579146—21no—
276#14579144—21no—
277#14579144—21no—
278#14579143—21no—
279#14579143—21no—
280#14579142—21no—
281#14579142—21no—
282#14579141—21no—
283#14579141D411yescharacteristic
284#14579140—21no—
285#14579140—21no—
286#14579140—21no—
287#14579139—21no—
288#14579139—21no—
289#14579139D411yescharacteristic
290#14579139D411yescharacteristic
291#14579138—21no—
292#14579138—21no—
293#14579138—21no—
294#14579138—21no—
295#14579138—21no—
296#14579138—21no—
297#14579137—21no—
298#14579137D411yescharacteristic
299#14579135—21no—
300#14579134—21no—
301#14579134—21no—
302#14579133—21no—
303#14579133—21no—
304#14579133—21no—
305#14579133—21no—
306#14579133—21no—
307#14579133—21no—
308#14579133—21no—
309#14579133—21no—
310#14579132—21no—
311#14579132—21no—
312#14579129—21no—
313#14579129—21no—
314#14579129—21no—
315#14579129—21no—
316Q8×Dic79—21no—
317C4×Dic158C2311yescharacteristic
318C4×Dic158C2311yescharacteristic
319C4×Dic158C2311yescharacteristic
320C4×Dic158C2311yescharacteristic
321C4×Dic158C2311yescharacteristic
322C4×Dic158C2311yescharacteristic
323C4×Dic158C2311yescharacteristic
324#14579126—21no—
325#14579126—21no—
326#14579126—21no—
327#14579126C2311yescharacteristic
328#14579126C2311yescharacteristic
329#14579126C2311yescharacteristic
330#14579126C2311yescharacteristic
331C4×D316C2311yescharacteristic
332C4×D316C2311yescharacteristic
333D4×Dic79—21no—
334D4×Dic79C2311yescharacteristic
335D4×Dic79C2311yescharacteristic
336D4×Dic79C2311yescharacteristic
337D4×Dic79C2311yescharacteristic
338D4×Dic79C2311yescharacteristic
339D4×Dic79C2311yescharacteristic
340#14579123—21no—
341#14579123C2311yescharacteristic
342#14579123C2311yescharacteristic
343C4×C22⋊D79—21no—
344C4×C22⋊D79—21no—
345C4×C22⋊D79—21no—
346C4×C22⋊D79—21no—
347C4×C22⋊D79—21no—
348C4×C22⋊D79—21no—
349C4×C22⋊D79—21no—
350C4×C22⋊D79—21no—
351(C22⋊D79)⋊C4—21no—
352(C22⋊D79)⋊C4—21no—
353(C22⋊D79)⋊C4—21no—
354(C22⋊D79)⋊C4—21no—
355(C22⋊D79)⋊C4—21no—
356(C22⋊D79)⋊C4—21no—
357#14579119C2311yescharacteristic
358#14579119C2311yescharacteristic
359#14579118C2311yescharacteristic
360#14579118C2311yescharacteristic
361#14579117—21no—
362#14579117—21no—
363#14579117—21no—
364#14579117—21no—
365C2×C4⋊Dic79—21no—
366C2×Dic79⋊C4—21no—
367C2×Dic79⋊C4—21no—
368C2×Dic79⋊C4—21no—
369C2×Dic79⋊C4—21no—
370C4⋊C4×D79—21no—
371C4⋊C4×D79—21no—
372C4⋊C4×D79C2311yescharacteristic
373C4⋊C4×D79C2311yescharacteristic
374C2×(C2×D79)⋊C4—21no—
375C2×(C2×D79)⋊C4—21no—
376C22⋊C4×D79—21no—
377C22⋊C4×D79—21no—
378C2×C4×Dic79—21no—
379C2×C4×Dic79—21no—
380C42×D79C2311yescharacteristic
381#14579095C2311yescharacteristic
382#14579094C2311yescharacteristic
383#14579094C2311yescharacteristic
384#14579094C2311yescharacteristic
385#14579094C2311yescharacteristic
386#14579093C2311yescharacteristic
387#14579093C2311yescharacteristic
388#14579092C2311yescharacteristic
389#14579092C2311yescharacteristic
390C4⋊(C79⋊C8)C2311yescharacteristic
391C4⋊(C79⋊C8)C2311yescharacteristic
392C4⋊(C79⋊C8)C2311yescharacteristic
393Dic79⋊C8C2311yescharacteristic
394Dic79⋊C8C2311yescharacteristic
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#14579083C2311yescharacteristic
412#14579083C2311yescharacteristic
413#14579082C2311yescharacteristic
414#14579082C2311yescharacteristic
415#14579082C2311yescharacteristic
416#14579082C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579081C2311yescharacteristic
424#14579081C2311yescharacteristic
425#14579081C2311yescharacteristic
426#14579081C2311yescharacteristic
427#14579081C2311yescharacteristic
428#14579081C2311yescharacteristic
429#14579072C2311yescharacteristic
430#14579072C2311yescharacteristic
431#14579071C2311yescharacteristic
432#14579071C2311yescharacteristic
433#14579071C2311yescharacteristic
434#14579071C2311yescharacteristic
435C4×C79⋊C8C2311yescharacteristic
436C8×Dic79C2311yescharacteristic
437C8×Dic79C2311yescharacteristic
438C2×#41×C79—21no—
439C2×D8×C79C2311yescharacteristic
440C2×D8×C79C2311yescharacteristic
441C2×D8×C79C2311yescharacteristic
442C4⋊Q8×C79C2311yescharacteristic
443#127×C79C2311yescharacteristic
444#127×C79C2311yescharacteristic
445#127×C79C2311yescharacteristic
446#125×C79C2311yescharacteristic
447#125×C79C2311yescharacteristic
448C22⋊Q8×C79—21no—
449C22⋊Q8×C79—21no—
450C22⋊Q8×C79—21no—
451#121×C79—21no—
452#121×C79—21no—
453#121×C79—21no—
454C4×Q8×C79C2311yescharacteristic
455C4×D4×C79C2311yescharacteristic
456C4×D4×C79C2311yescharacteristic
457C4×D4×C79C2311yescharacteristic
458C4×D4×C79C2311yescharacteristic
459C4×D4×C79C2311yescharacteristic
460C4×D4×C79C2311yescharacteristic
461C2×C4⋊C4×C79—21no—
462#107×C79C2311yescharacteristic
463#106×C79C2311yescharacteristic
464#106×C79C2311yescharacteristic
465C4⋊C8×C79C2311yescharacteristic
466C4⋊C8×C79C2311yescharacteristic
467C4⋊C8×C79C2311yescharacteristic
468#102×C79C2311yescharacteristic
469#102×C79C2311yescharacteristic
470#102×C79C2311yescharacteristic
471#102×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475#102×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478#97×C79C2311yescharacteristic
479#97×C79C2311yescharacteristic
480C4×C8×C79C2311yescharacteristic
481C23×D79—21no—
482C23×D79—21no—
483#11929624—82no—
484#11929623—22no—
485#11929623—22no—
486#11929623—22no—
487#11929623—82no—
488#11929623—82no—
489#11929623#4114yescomplemented
490C2×Dic158—21no—
491C2×Dic158—21no—
492C2×Dic158—21no—
493C2×Dic158C2×D411yescharacteristic
494C2×Dic158C2×D411yescharacteristic
495C2×Dic158C2×D411yescharacteristic
496C2×Dic158C2411yescharacteristic
497C2×Dic158C2411yescharacteristic
498C2×D316—21no—
499C2×D316—21no—
500C2×D316C2411yescharacteristic
501C2×D316C2411yescharacteristic
502C2×C22⋊D79—21no—
503C2×C22⋊D79—21no—
504C2×C22⋊D79—21no—
505C2×C22⋊D79—21no—
506C2×C22⋊D79—21no—
507C2×C22⋊D79—21no—
508C2×C22⋊D79—21no—
509C2×C22⋊D79—21no—
510C2×C22⋊D79—21no—
511C2×C22⋊D79—21no—
512C2×C22⋊D79—21no—
513C2×C22⋊D79—21no—
514D4×D79—22no—
515D4×D79—22no—
516D4×D79—22no—
517D4×D79—22no—
518D4×D79—82no—
519D4×D79—82no—
520C22×Dic79—21no—
521C22×Dic79—21no—
522C22×Dic79—21no—
523C22×Dic79—21no—
524C22×Dic79—21no—
525C22×Dic79—21no—
526C22×Dic79—21no—
527C22×Dic79—21no—
528C2×C4×D79—21no—
529C2×C4×D79—21no—
530C2×C4×D79—21no—
531C2×C4×D79—21no—
532C2×C4×D79—21no—
533C2×C4×D79—21no—
534C2×C4×D79C2×D411yescharacteristic
535C2×C4×D79C2×D411yescharacteristic
536C2×C4×D79C2411yescharacteristic
537Dic316—22no—
538#11929613—22no—
539#11929613—22no—
540#11929612—22no—
541#11929612—22no—
542#11929612—22no—
543#11929612—22no—
544#11929609—22no—
545#11929609—22no—
546#11929607—22no—
547#11929607—22no—
548C2×C79⋊C8C2411yescharacteristic
549C2×C79⋊C8C2411yescharacteristic
550C2×C79⋊C8C2411yescharacteristic
551C2×C79⋊C8C2411yescharacteristic
552C8×D79—22no—
553C8×D79—22no—
554C4⋊Dic79—21no—
555C4⋊Dic79—21no—
556C4⋊Dic79—21no—
557C4⋊Dic79—21no—
558C4⋊Dic79—21no—
559C4⋊Dic79C2×D411yescharacteristic
560C4⋊Dic79C2×D411yescharacteristic
561C4⋊Dic79C2×D411yescharacteristic
562C4⋊Dic79C2411yescharacteristic
563C4⋊Dic79C2411yescharacteristic
564C4⋊Dic79C2411yescharacteristic
565C4⋊Dic79C2411yescharacteristic
566Dic79⋊C4—21no—
567Dic79⋊C4—21no—
568Dic79⋊C4—21no—
569Dic79⋊C4—21no—
570Dic79⋊C4—21no—
571Dic79⋊C4—21no—
572Dic79⋊C4—21no—
573Dic79⋊C4—21no—
574Dic79⋊C4—21no—
575Dic79⋊C4—21no—
576Dic79⋊C4—21no—
577Dic79⋊C4—21no—
578Dic79⋊C4—21no—
579Dic79⋊C4—21no—
580Dic79⋊C4—21no—
581Dic79⋊C4—21no—
582Dic79⋊C4—21no—
583Dic79⋊C4—21no—
584Dic79⋊C4—21no—
585Dic79⋊C4—21no—
586Dic79⋊C4C2×D411yescharacteristic
587Dic79⋊C4C2×D411yescharacteristic
588Dic79⋊C4C2×D411yescharacteristic
589Dic79⋊C4C2×D411yescharacteristic
590Dic79⋊C4C2×D411yescharacteristic
591Dic79⋊C4C2×D411yescharacteristic
592Dic79⋊C4C2×D411yescharacteristic
593Dic79⋊C4C2×D411yescharacteristic
594Dic79⋊C4C2×D411yescharacteristic
595Dic79⋊C4C2×D411yescharacteristic
596C22⋊Dic79—21no—
597C22⋊Dic79—21no—
598C22⋊Dic79—21no—
599C22⋊Dic79—21no—
600C22⋊Dic79—21no—
601C22⋊Dic79—21no—
602C22⋊Dic79—21no—
603C22⋊Dic79—21no—
604C22⋊Dic79—21no—
605C22⋊Dic79—21no—
606(C2×D79)⋊C4—21no—
607(C2×D79)⋊C4—21no—
608(C2×D79)⋊C4—21no—
609(C2×D79)⋊C4—21no—
610(C2×D79)⋊C4—21no—
611(C2×D79)⋊C4—21no—
612(C2×D79)⋊C4—21no—
613(C2×D79)⋊C4—21no—
614(C2×D79)⋊C4—21no—
615(C2×D79)⋊C4—21no—
616(C2×D79)⋊C4C2×D411yescharacteristic
617(C2×D79)⋊C4C2×D411yescharacteristic
618(C2×D79)⋊C4C2×D411yescharacteristic
619(C2×D79)⋊C4C2×D411yescharacteristic
620C4×Dic79—21no—
621C4×Dic79—21no—
622C4×Dic79—21no—
623C4×Dic79—21no—
624C4×Dic79—21no—
625C4×Dic79—21no—
626C4×Dic79—21no—
627C4×Dic79—21no—
628C4×Dic79—21no—
629C4×Dic79—21no—
630C4×Dic79C2×D411yescharacteristic
631C4×Dic79C2×D411yescharacteristic
632C4×Dic79C2411yescharacteristic
633C4×Dic79C2411yescharacteristic
634C4×Dic79C2411yescharacteristic
635#41×C79—82no—
636C2×Q8×C79—21no—
637C2×Q8×C79C2×D411yescharacteristic
638C2×D4×C79—21no—
639C2×D4×C79—21no—
640C2×D4×C79—21no—
641C2×D4×C79—21no—
642C2×D4×C79—21no—
643C2×D4×C79—21no—
644C2×D4×C79C2411yescharacteristic
645C2×D4×C79C2411yescharacteristic
646C2×D4×C79C2411yescharacteristic
647C2×D4×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—
654D8×C79—22no—
655D8×C79—22no—
656D8×C79—22no—
657C2×C8×C79C2411yescharacteristic
658C2×C8×C79C2411yescharacteristic
659C2×C8×C79C2411yescharacteristic
660C2×C8×C79C2411yescharacteristic
661C4⋊C4×C79—21no—
662C4⋊C4×C79—21no—
663C4⋊C4×C79—21no—
664C4⋊C4×C79—21no—
665C4⋊C4×C79—21no—
666C4⋊C4×C79C2×D411yescharacteristic
667C4⋊C4×C79C2×D411yescharacteristic
668C4⋊C4×C79C2×D411yescharacteristic
669C4⋊C4×C79C2411yescharacteristic
670C4⋊C4×C79C2411yescharacteristic
671C4⋊C4×C79C2411yescharacteristic
672C4⋊C4×C79C2411yescharacteristic
673C22⋊C4×C79—21no—
674C22⋊C4×C79—21no—
675C22⋊C4×C79—21no—
676C22⋊C4×C79—21no—
677C22⋊C4×C79—21no—
678C22⋊C4×C79—21no—
679C42×C79C2411yescharacteristic
680C42×C79C2411yescharacteristic
681C42×C79C2411yescharacteristic
682C23×C79—21no—
683C23×C79—21no—
684C23×C79—21no—
685C23×C79—21no—
686C22×D79—21no—
687C22×D79—21no—
688C22×D79—42no—
689C22×D79—42no—
690C22×D79—81no—
691C22×D79—81no—
692C22×D79—81no—
693C22×D79—81no—
694C22×D79C22×D411yescharacteristic
695Q8×C79—41no—
696Q8×C79—81no—
697D4×C79—21no—
698D4×C79—21no—
699D4×C79—21no—
700D4×C79—21no—
701D4×C79—21no—
702D4×C79—21no—
703D4×C79—21no—
704D4×C79—42no—
705D4×C79—81no—
706D4×C79—81no—
707D4×C79—81no—
708D4×C79—81no—
709D4×C79—81no—
710D4×C79C2×#4112yes—
711C2×C4×C79—21no—
712C2×C4×C79—21no—
713C2×C4×C79—21no—
714C2×C4×C79—21no—
715C2×C4×C79—42no—
716C2×C4×C79—81no—
717C2×C4×C79—81no—
718C2×C4×C79—81no—
719C2×C4×C79—81no—
720C2×C4×C79—81no—
721C2×C4×C79C22×D411yescharacteristic
722C2×C4×C79C22×D411yescharacteristic
723C2×C4×C79C22×D411yescharacteristic
724C2×C4×C79C22×D411yescharacteristic
725C2×C4×C79C22×D411yescharacteristic
726C2×C4×C79C22×D411yescharacteristic
727C2×C4×C79C2511yescharacteristic
728C22⋊D79—24no—
729C22⋊D79—42no—
730C22⋊D79—42no—
731C22⋊D79—42no—
732C22⋊D79—42no—
733C22⋊D79—42no—
734C22⋊D79—81no—
735C22⋊D79—81no—
736C22⋊D79—81no—
737C22⋊D79—81no—
738C22⋊D79—81no—
739C22⋊D79—81no—
740C2×Dic79—21no—
741C2×Dic79—24no—
742C2×Dic79—21no—
743C2×Dic79—21no—
744C2×Dic79—21no—
745C2×Dic79—21no—
746C2×Dic79—21no—
747C2×Dic79—42no—
748C2×Dic79—42no—
749C2×Dic79—81no—
750C2×Dic79—81no—
751C2×Dic79—81no—
752C2×Dic79—81no—
753C2×Dic79—81no—
754C2×Dic79C22×D411yescharacteristic
755C2×Dic79C22×D411yescharacteristic
756C2×Dic79C22×D411yescharacteristic
757C2×Dic79C22×D411yescharacteristic
758C2×Dic79C22×D411yescharacteristic
759C2×Dic79C22×D411yescharacteristic
760C2×Dic79C22×D411yescharacteristic
761D316—21no—
762D316—21no—
763D316—21no—
764D316—21no—
765D316—42no—
766D316—81no—
767C4×D79—41no—
768C4×D79—41no—
769C4×D79—81no—
770C4×D79—81no—
771C4×D79—81no—
772C4×D79—81no—
773C4×D79—81no—
774C4×D79—81no—
775C4×D79C2×#4112yes—
776C4×D792−1+412yes—
777Dic158—21no—
778Dic158—21no—
779Dic158—21no—
780Dic158—41no—
781Dic158—41no—
782Dic158—41no—
783Dic158—81no—
784Dic158—81no—
785Dic158—81no—
786Dic158C2×#4112yes—
787C8×C79—21no—
788C8×C79—21no—
789C8×C79—21no—
790C8×C79—21no—
791C79⋊C8—21no—
792C79⋊C8—21no—
793C79⋊C8—21no—
794C79⋊C8—21no—
795C22×C79—22no—
796C22×C79—41no—
797C22×C79—41no—
798C22×C79—41no—
799C22×C79—41no—
800C22×C79—41no—
801C22×C79—41no—
802C22×C79—41no—
803C22×C79—41no—
804C22×C79—41no—
805C22×C79—41no—
806C22×C79—41no—
807C22×C79C23×D411yescharacteristic
808C2×D79—21no—
809C2×D79—21no—
810C2×D79—41no—
811C2×D79—41no—
812C2×D79—41no—
813C2×D79—41no—
814C2×D79—41no—
815C2×D79—41no—
816C2×D79—162no—
817C2×D79—162no—
818C2×D79#54812yes—
819C4×C79—21no—
820C4×C79—21no—
821C4×C79—21no—
822C4×C79—21no—
823C4×C79—21no—
824C4×C79—21no—
825C4×C79—41no—
826C4×C79—41no—
827C4×C79—41no—
828C4×C79—41no—
829C4×C79C22×#4111yescharacteristic
830C4×C79C2×2−1+411yescharacteristic
831Dic79—21no—
832Dic79—21no—
833Dic79—21no—
834Dic79—21no—
835Dic79—21no—
836Dic79—21no—
837Dic79—22no—
838Dic79—41no—
839Dic79—41no—
840Dic79—41no—
841Dic79—41no—
842Dic79—41no—
843Dic79#54812yes—
844#61337—791nomaximal, Sylow
845C2×C79—42no—
846C2×C79—81no—
847C2×C79—81no—
848C2×C79—81no—
849C2×C79C2×#54811yescharacteristic
850C2×C79#358511yescharacteristic
851C2×C79#358511yescharacteristic
852D79—22no—
853D79—81no—
854D79—81no—
855#3508—791no—
856#3504—791no—
857#3371—791no—
858#3371—791no—
859#3371—791no—
860#3371—791no—
861#3370—791no—
862#3370—791no—
863#3370—791no—
864#3370—791no—
865#3368—791no—
866#3368—791no—
867#3368—791no—
868#3368—791no—
869#3366—791no—
870#3366—791no—
871#3366—791no—
872#3366D7911yescharacteristic, complemented
873#3136—791no—
874#3136—791no—
875C2×#490—791no—
876#3081—791no—
877#3081—791no—
878#3080—791no—
879#3045—791no—
880#3045—791no—
881#3038—791no—
882#2961—791no—
883#2946—791no—
884#2946—791no—
885#2943—791no—
886C79#6133711yescharacteristic, complemented, Sylow
887C2×AGL(1,ℤ/8)—791no—
888C2×AGL(1,ℤ/8)—791no—
889C2×#135—791no—
890#559—791no—
891#559—791no—
892#559—791no—
893#559—791no—
894#557—791no—
895#557—791no—
896#557—791no—
897#557—791no—
898#554—791no—
899#554—791no—
900#554—791no—
901#554—1581no—
902#554—1581no—
903#554—1581no—
904#554—1581no—
905#554C2×D7911yescharacteristic, complemented
906#550—791no—
907#550—791no—
908#550—791no—
909#550C2×D7911yescharacteristic
910#546—1581no—
911#546—1581no—
912#546—1581no—
913#546—1581no—
914#544—791no—
915#544—791no—
916#544—1581no—
917#544—1581no—
918#540—1581no—
919#540—1581no—
920#535—791no—
921#535—791no—
922#533—791no—
923#533—1581no—
924#532—1581no—
925#532—1581no—
926C2×#127—791no—
927C2×#125—791no—
928C2×#125—1581no—
929#520—791no—
930#520—791no—
931#518—791no—
932#518—791no—
933C4×#41—791no—
934C4×#41—791no—
935#490—791no—
936#490—791no—
937#490—791no—
938#490—791no—
939#490—791no—
940#490—791no—
941#490—791no—
942#490—791no—
943#490—791no—
944#490—791no—
945#490C2×D7911yescharacteristic
946#490C2×D7911yescharacteristic, complemented
947#489—791no—
948#489—791no—
949#489—791no—
950#489—791no—
951#488—791no—
952#488—791no—
953#488—791no—
954#488—791no—
955#486—791no—
956#486—791no—
957#486—791no—
958#486C2×D7911yescharacteristic, complemented
959#479—791no—
960#479—791no—
961#479—791no—
962#479—791no—
963#478—791no—
964#478—791no—
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#478C2×D7911yescharacteristic, complemented
974#478C2×D7911yescharacteristic, complemented
975#476—791no—
976#476—791no—
977#476—791no—
978#476C2×D7911yescharacteristic, complemented
979#474—791no—
980#474—791no—
981#474—791no—
982#474—791no—
983#464—791no—
984#464—791no—
985#464—791no—
986#464—791no—
987#463—791no—
988#463—791no—
989#463—791no—
990#463—791no—
991#460—791no—
992#460—791no—
993#460—791no—
994#460—791no—
995#460—791no—
996#460—791no—
997#460—791no—
998#460—791no—
999#459—791no—
1000#459—791no—
1001#459—791no—
1002#459—791no—
1003#459—791no—
1004#459C2×D7911yescharacteristic
1005#459C2×D7911yescharacteristic, complemented
1006#459C2×D7911yescharacteristic, complemented
1007#446—791no—
1008#446—791no—
1009#446—791no—
1010#446—791no—
1011#446—791no—
1012#446—791no—
1013#446—791no—
1014#446C2×D7911yescharacteristic, complemented
1015#442—791no—
1016#442—791no—
1017#442—791no—
1018#442—791no—
1019#442C2×D7911yescharacteristic, complemented
1020#442C2×D7911yescharacteristic, complemented
1021#441—791no—
1022#441—791no—
1023#440—791no—
1024#440—791no—
1025#440—791no—
1026#440—791no—
1027#440—791no—
1028#440—791no—
1029#440—791no—
1030#440—791no—
1031C4×SD16—791no—
1032C4×SD16—791no—
1033C4×SD16—791no—
1034C4×SD16—791no—
1035C4×D8—791no—
1036C4×D8—791no—
1037C4×D8—791no—
1038C4×D8C2×D7911yescharacteristic, complemented
1039#428—791no—
1040#428—791no—
1041#427—791no—
1042#424—791no—
1043#424—791no—
1044#423—791no—
1045#418—791no—
1046#418—791no—
1047#417—791no—
1048#417—791no—
1049#416—791no—
1050#416—791no—
1051C2×#102—791no—
1052C2×#102—791no—
1053C2×#102—791no—
1054C2×#102—791no—
1055#405—791no—
1056#405—791no—
1057C2×#97—791no—
1058C2×#41—21no—
1059C2×#41—791no—
1060C2×#41—791no—
1061C2×#41—1581no—
1062C2×#41—1581no—
1063C2×#41—1581no—
1064C22×D4—791no—
1065C22×D4—791no—
1066C22×D4—1581no—
1067C22×D4—1581no—
1068AGL(1,ℤ/8)—1584no—
1069AGL(1,ℤ/8)—1584no—
1070#135—1584no—
1071C2×Q16—791no—
1072C2×SD16—791no—
1073C2×SD16—791no—
1074C2×SD16—791no—
1075C2×SD16—791no—
1076C2×SD16—791no—
1077C2×SD16—791no—
1078C2×D8—791no—
1079C2×D8—791no—
1080C2×D8C22×D7911yescharacteristic
1081C2×D8C22×D7911yescharacteristic
1082C2×D8C22×D7911yescharacteristic
1083C2×M16—791no—
1084C2×M16—791no—
1085C22×C8—791no—
1086C22×C8—791no—
1087C4⋊Q8—791no—
1088C4⋊Q8—791no—
1089C4⋊Q8—791no—
1090C4⋊Q8—791no—
1091C4⋊Q8—791no—
1092C4⋊Q8—1581no—
1093C4⋊Q8—1581no—
1094C4⋊Q8—1581no—
1095C4⋊Q8—1581no—
1096C4⋊Q8—1581no—
1097C4⋊Q8—1581no—
1098C4⋊Q8C22×D7911yescharacteristic
1099#127—791no—
1100#127—791no—
1101#127—791no—
1102#127—791no—
1103#127—791no—
1104#127—1581no—
1105#127—1581no—
1106#127C22×D7911yescharacteristic
1107#127C22×D7911yescharacteristic
1108#127C22×D7911yescharacteristic
1109#125—791no—
1110#125—791no—
1111#125—791no—
1112#125—791no—
1113#125—791no—
1114#125—791no—
1115#125—791no—
1116#125—791no—
1117#125—1581no—
1118#125—1581no—
1119#125—1581no—
1120#125—1581no—
1121#125—1581no—
1122#125—1581no—
1123#125—1581no—
1124#125—1581no—
1125#125—1581no—
1126#125—1581no—
1127#125—1581no—
1128#125—1581no—
1129#125C22×D7911yescharacteristic
1130#125C22×D7911yescharacteristic
1131#124—791no—
1132#124—791no—
1133#124—791no—
1134#124—791no—
1135#124—1581no—
1136#124—1581no—
1137#124—1581no—
1138#124—1581no—
1139#123—1581no—
1140#123—1581no—
1141#123—1581no—
1142#123—1581no—
1143#123—1581no—
1144#123—1581no—
1145#123—1581no—
1146#123—1581no—
1147C22⋊Q8—21no—
1148C22⋊Q8—21no—
1149C22⋊Q8—21no—
1150C22⋊Q8—791no—
1151C22⋊Q8—791no—
1152C22⋊Q8—791no—
1153C22⋊Q8—791no—
1154C22⋊Q8—1581no—
1155C22⋊Q8—1581no—
1156C22⋊Q8—1581no—
1157C22⋊Q8—1581no—
1158C22⋊Q8—1581no—
1159C22⋊Q8—1581no—
1160C22⋊Q8—1581no—
1161C22⋊Q8—1581no—
1162C22⋊Q8—1581no—
1163C22⋊Q8—1581no—
1164C22⋊Q8—1581no—
1165C22⋊Q8—1581no—
1166C22⋊Q8—1581no—
1167#121—21no—
1168#121—21no—
1169#121—21no—
1170#121—1581no—
1171#121—1581no—
1172#121—1581no—
1173#121—1581no—
1174#121—1581no—
1175#121—1581no—
1176#121—1581no—
1177#121—1581no—
1178#121—1581no—
1179#121—1581no—
1180#121—1581no—
1181#121—1581no—
1182#121—1581no—
1183#120—1581no—
1184#120—1581no—
1185#120—1581no—
1186#120—1581no—
1187C4×Q8—791no—
1188C4×Q8—791no—
1189C4×Q8—791no—
1190C4×Q8—791no—
1191C4×Q8—791no—
1192C4×Q8—791no—
1193C4×Q8—791no—
1194C4×Q8—791no—
1195C4×Q8—791no—
1196C4×Q8—791no—
1197C4×Q8—791no—
1198C4×Q8—1581no—
1199C4×Q8—1581no—
1200C4×Q8—1581no—
1201C4×Q8—1581no—
1202C4×Q8C22×D7911yescharacteristic
1203C4×D4—791no—
1204C4×D4—791no—
1205C4×D4—791no—
1206C4×D4—791no—
1207C4×D4—791no—
1208C4×D4—791no—
1209C4×D4—791no—
1210C4×D4—791no—
1211C4×D4—791no—
1212C4×D4—791no—
1213C4×D4—1581no—
1214C4×D4—1581no—
1215C4×D4—1581no—
1216C4×D4—1581no—
1217C4×D4—1581no—
1218C4×D4—1581no—
1219C4×D4—1581no—
1220C4×D4—1581no—
1221C4×D4—1581no—
1222C4×D4—1581no—
1223C4×D4—1581no—
1224C4×D4—1581no—
1225C4×D4—1581no—
1226C4×D4—1581no—
1227C4×D4—1581no—
1228C4×D4—1581no—
1229C4×D4C22×D7911yescharacteristic
1230C4×D4C22×D7911yescharacteristic
1231C4×D4C22×D7911yescharacteristic
1232C4×D4C22×D7911yescharacteristic
1233C4×D4C22×D7911yescharacteristic
1234C4×D4C22×D7911yescharacteristic
1235#117—791no—
1236#117—791no—
1237#117—791no—
1238#117—791no—
1239#117—1581no—
1240#117—1581no—
1241#117—1581no—
1242#117—1581no—
1243C2×C4⋊C4—21no—
1244C2×C4⋊C4—791no—
1245C2×C4⋊C4—791no—
1246C2×C4⋊C4—1581no—
1247C2×C4⋊C4—1581no—
1248C2×C4⋊C4—1581no—
1249C2×C4⋊C4—1581no—
1250C2×C4⋊C4—1581no—
1251C2×C4⋊C4—1581no—
1252C2×C4⋊C4—1581no—
1253C2×C22⋊C4—1581no—
1254C2×C22⋊C4—1581no—
1255C2×C22⋊C4—1581no—
1256C2×C22⋊C4—1581no—
1257C2×C42—791no—
1258C2×C42—1581no—
1259C2×C42—1581no—
1260#107—791no—
1261#107—791no—
1262#107—791no—
1263#107—791no—
1264#107—791no—
1265#107C22×D7911yescharacteristic
1266#106—791no—
1267#106—791no—
1268#106—791no—
1269#106—791no—
1270#106C22×D7911yescharacteristic
1271#106C22×D7911yescharacteristic
1272C4⋊C8—791no—
1273C4⋊C8—791no—
1274C4⋊C8—791no—
1275C4⋊C8—791no—
1276C4⋊C8—791no—
1277C4⋊C8—791no—
1278C4⋊C8—791no—
1279C4⋊C8—791no—
1280C4⋊C8—791no—
1281C4⋊C8C22×D7911yescharacteristic
1282C4⋊C8C22×D7911yescharacteristic
1283C4⋊C8C22×D7911yescharacteristic
1284#103—791no—
1285#103—791no—
1286#103—791no—
1287#103—791no—
1288#103—791no—
1289#103—791no—
1290#103—791no—
1291#103—791no—
1292#102—791no—
1293#102—791no—
1294#102—791no—
1295#102—791no—
1296#102—791no—
1297#102—791no—
1298#102—791no—
1299#102—791no—
1300#102—791no—
1301#102—791no—
1302#102—791no—
1303#102—791no—
1304#102—791no—
1305#102—791no—
1306#102—791no—
1307#102—791no—
1308#102—791no—
1309#102—791no—
1310#102—791no—
1311#102—791no—
1312#102—791no—
1313#102—791no—
1314#102C22×D7911yescharacteristic
1315#102C22×D7911yescharacteristic
1316#102C22×D7911yescharacteristic
1317#102C22×D7911yescharacteristic
1318#102C22×D7911yescharacteristic
1319#102C22×D7911yescharacteristic
1320#102C22×D7911yescharacteristic
1321#102C22×D7911yescharacteristic
1322#102C22×D7911yescharacteristic
1323#102C22×D7911yescharacteristic
1324#97—791no—
1325#97—791no—
1326#97—791no—
1327#97—791no—
1328#97—791no—
1329#97—791no—
1330#97C22×D7911yescharacteristic
1331#97C22×D7911yescharacteristic
1332C4×C8—791no—
1333C4×C8—791no—
1334C4×C8—791no—
1335C4×C8C22×D7911yescharacteristic
1336C24—1581no—
1337C24—1581no—
1338#41—82no—
1339#41—794no—
1340#41—6322no—
1341#41—6322no—
1342#41—6322no—
1343#41—1582no—
1344#41—1582no—
1345#41—1582no—
1346C2×Q8—21no—
1347C2×Q8—791no—
1348C2×Q8—791no—
1349C2×Q8—791no—
1350C2×Q8—791no—
1351C2×Q8—791no—
1352C2×Q8—1581no—
1353C2×Q8—1581no—
1354C2×Q8—1581no—
1355C2×Q8D4×D7911yescharacteristic
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—791no—
1363C2×D4—791no—
1364C2×D4—6322no—
1365C2×D4—6322no—
1366C2×D4—1582no—
1367C2×D4—1582no—
1368C2×D4—1582no—
1369C2×D4—1582no—
1370C2×D4—1581no—
1371C2×D4—1581no—
1372C2×D4—1581no—
1373C2×D4—1581no—
1374C2×D4—1581no—
1375C2×D4—1581no—
1376C2×D4—1581no—
1377C2×D4—1581no—
1378C2×D4—1581no—
1379C2×D4—1581no—
1380C2×D4—1581no—
1381C2×D4—1581no—
1382C2×D4—1581no—
1383C2×D4—1581no—
1384C2×D4C23×D7911yescharacteristic
1385C2×D4C23×D7911yescharacteristic
1386C2×D4C23×D7911yescharacteristic
1387C2×D4C23×D7911yescharacteristic
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—791no—
1395C22×C4—791no—
1396C22×C4—791no—
1397C22×C4—1581no—
1398C22×C4—1581no—
1399C22×C4—1581no—
1400C22×C4—1581no—
1401C22×C4—1581no—
1402C22×C4—1581no—
1403C22×C4—1581no—
1404C22×C4—1581no—
1405C22×C4—1581no—
1406C22×C4—1581no—
1407C22×C4—1581no—
1408C22×C4—1581no—
1409C22×C4—1581no—
1410C22×C4—1581no—
1411Q16—1582no—
1412SD16—1582no—
1413SD16—1582no—
1414SD16—1582no—
1415SD16—1582no—
1416SD16—1582no—
1417SD16—1582no—
1418D8—22no—
1419D8—22no—
1420D8—22no—
1421D8—1582no—
1422D8—1582no—
1423M16—1582no—
1424M16—1582no—
1425C2×C8—791no—
1426C2×C8—791no—
1427C2×C8—791no—
1428C2×C8—791no—
1429C2×C8—1582no—
1430C2×C8—1582no—
1431C2×C8C23×D7911yescharacteristic
1432C2×C8C23×D7911yescharacteristic
1433C2×C8C23×D7911yescharacteristic
1434C2×C8C23×D7911yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—791no—
1441C4⋊C4—791no—
1442C4⋊C4—791no—
1443C4⋊C4—791no—
1444C4⋊C4—791no—
1445C4⋊C4—791no—
1446C4⋊C4—791no—
1447C4⋊C4—791no—
1448C4⋊C4—791no—
1449C4⋊C4—791no—
1450C4⋊C4—791no—
1451C4⋊C4—791no—
1452C4⋊C4—791no—
1453C4⋊C4—791no—
1454C4⋊C4—791no—
1455C4⋊C4—791no—
1456C4⋊C4—791no—
1457C4⋊C4—1581no—
1458C4⋊C4—1581no—
1459C4⋊C4—1581no—
1460C4⋊C4—1581no—
1461C4⋊C4—1581no—
1462C4⋊C4—1581no—
1463C4⋊C4—1581no—
1464C4⋊C4—1581no—
1465C4⋊C4—1581no—
1466C4⋊C4—1581no—
1467C4⋊C4—1581no—
1468C4⋊C4—1581no—
1469C4⋊C4—1581no—
1470C4⋊C4—1581no—
1471C4⋊C4—1581no—
1472C4⋊C4—1581no—
1473C4⋊C4—1581no—
1474C4⋊C4—1581no—
1475C4⋊C4—1581no—
1476C4⋊C4—1581no—
1477C4⋊C4—1581no—
1478C4⋊C4—1581no—
1479C4⋊C4—1581no—
1480C4⋊C4—1581no—
1481C4⋊C4—1581no—
1482C4⋊C4D4×D7911yescharacteristic
1483C4⋊C4D4×D7911yescharacteristic
1484C4⋊C4D4×D7911yescharacteristic
1485C4⋊C4C23×D7911yescharacteristic
1486C4⋊C4C23×D7911yescharacteristic
1487C4⋊C4C23×D7911yescharacteristic
1488C4⋊C4C23×D7911yescharacteristic
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—791no—
1496C22⋊C4—791no—
1497C22⋊C4—791no—
1498C22⋊C4—791no—
1499C22⋊C4—1581no—
1500C22⋊C4—1581no—
1501C22⋊C4—1581no—
1502C22⋊C4—1581no—
1503C22⋊C4—1581no—
1504C22⋊C4—1581no—
1505C22⋊C4—1581no—
1506C22⋊C4—1581no—
1507C22⋊C4—1581no—
1508C22⋊C4—1581no—
1509C22⋊C4—1581no—
1510C22⋊C4—1581no—
1511C22⋊C4—1581no—
1512C22⋊C4—1581no—
1513C22⋊C4—1581no—
1514C22⋊C4—1581no—
1515C22⋊C4—1581no—
1516C22⋊C4—1581no—
1517C22⋊C4—1581no—
1518C22⋊C4—1581no—
1519C42—791no—
1520C42—791no—
1521C42—791no—
1522C42—791no—
1523C42—791no—
1524C42—1581no—
1525C42—1581no—
1526C42—1581no—
1527C42—1581no—
1528C42—1581no—
1529C42—1581no—
1530C42—1581no—
1531C42—1581no—
1532C42—1581no—
1533C42—1581no—
1534C42C23×D7911yescharacteristic
1535C42C23×D7911yescharacteristic
1536C42C23×D7911yescharacteristic
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—3162no—
1542C23—3162no—
1543C23—791no—
1544C23—6321no—
1545C23—6321no—
1546C23—6321no—
1547C23—6321no—
1548C23—1581no—
1549C23—1581no—
1550Q8—41no—
1551Q8—81no—
1552Q8—3161no—
1553Q8—3161no—
1554Q8—3161no—
1555Q8—792no—
1556Q8—6321no—
1557Q8—6321no—
1558Q8—6321no—
1559Q8—1581no—
1560Q8—1581no—
1561Q8—1581no—
1562D4—21no—
1563D4—21no—
1564D4—21no—
1565D4—21no—
1566D4—21no—
1567D4—21no—
1568D4—21no—
1569D4—42no—
1570D4—81no—
1571D4—81no—
1572D4—81no—
1573D4—81no—
1574D4—81no—
1575D4—3162no—
1576D4—3162no—
1577D4—3162no—
1578D4—3162no—
1579D4—3162no—
1580D4—3162no—
1581D4—6321no—
1582D4—6321no—
1583D4—6321no—
1584D4—6321no—
1585D4—6321no—
1586D4—6321no—
1587D4—6321no—
1588D4—1584no—
1589D4—1581no—
1590D4—1581no—
1591D4—1581no—
1592D4—1581no—
1593D4#41×D7912yes—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—42no—
1599C2×C4—81no—
1600C2×C4—81no—
1601C2×C4—81no—
1602C2×C4—81no—
1603C2×C4—81no—
1604C2×C4—3161no—
1605C2×C4—3161no—
1606C2×C4—3162no—
1607C2×C4—3162no—
1608C2×C4—791no—
1609C2×C4—792no—
1610C2×C4—792no—
1611C2×C4—791no—
1612C2×C4—791no—
1613C2×C4—791no—
1614C2×C4—791no—
1615C2×C4—791no—
1616C2×C4—791no—
1617C2×C4—6321no—
1618C2×C4—6321no—
1619C2×C4—6321no—
1620C2×C4—6321no—
1621C2×C4—6321no—
1622C2×C4—6321no—
1623C2×C4—6321no—
1624C2×C4—6321no—
1625C2×C4—6321no—
1626C2×C4—6321no—
1627C2×C4—6321no—
1628C2×C4—1581no—
1629C2×C4—1581no—
1630C2×C4—1581no—
1631C2×C4—1581no—
1632C2×C4—1581no—
1633C2×C4—1584no—
1634C2×C4—1581no—
1635C2×C4C2×D4×D7911yescharacteristic
1636C2×C4C2×D4×D7911yescharacteristic
1637C2×C4C2×D4×D7911yescharacteristic
1638C2×C4C2×D4×D7911yescharacteristic
1639C2×C4C2×D4×D7911yescharacteristic
1640C2×C4C2×D4×D7911yescharacteristic
1641C2×C4C24×D7911yescharacteristic
1642C8—21no—
1643C8—21no—
1644C8—21no—
1645C8—21no—
1646C8—1581no—
1647C8—1581no—
1648C8—1581no—
1649C8—1581no—
1650C22—22no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—3161no—
1663C22—3161no—
1664C22—3161no—
1665C22—3161no—
1666C22—3161no—
1667C22—3161no—
1668C22—792no—
1669C22—1581no—
1670C22—1581no—
1671C22—12642no—
1672C22—12642no—
1673C22C22×D4×D7911yescharacteristic
1674C4—21no—
1675C4—21no—
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—3161no—
1685C4—3161no—
1686C4—3161no—
1687C4—3161no—
1688C4—3161no—
1689C4—792no—
1690C4—1582no—
1691C4—1581no—
1692C4—1581no—
1693C4—1581no—
1694C4—1581no—
1695C4—1581no—
1696C4—1581no—
1697C4C2×#41×D7911yescharacteristic
1698C42−1+4×D7911yescharacteristic
1699C2—42no—
1700C2—81no—
1701C2—81no—
1702C2—81no—
1703C2—6321no—
1704C2—6321no—
1705C2—1582no—
1706C2#548×D7911yescharacteristic
1707C2#2377817511yescharacteristic
1708C2#2377817611yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3366C2
socleC22×C79C23×D4
hypercenter#3366D79
hypocenterC79#61337
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3366

Complements

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

NH ≅ G/Ntype
1. #23777270C2semidirect
2. #23777220C2semidirect
3. #23776175C2semidirect
4. #23776170C2semidirect
5. #23776166C2semidirect
6. #23776163C2semidirect
7. #23776158C2semidirect
8. #23776153C2semidirect
9. #23776149C2semidirect
10. #23776146C2semidirect
11. #23776134C2semidirect
12. #23776132C2semidirect
13. #23776126C2semidirect
14. #23776125C2semidirect
15. #23776111C2semidirect
16. #23776108C2semidirect
17. #23776102C2semidirect
18. #23773755C2semidirect
19. #23773749C2semidirect
20. #490×D79C2semidirect
21. #23773230C2semidirect
22. #23773226C2semidirect
23. #23773217C2semidirect
24. #23772934C2semidirect
25. #23772934C2semidirect
26. #23772875C2semidirect
27. #23772336C2semidirect
28. #23772229C2semidirect
29. #23772225C2semidirect
30. #23772197C2semidirect
31. C79×#3366C2semidirect
39. #19099291C22semidirect
40. #19099290C22semidirect
41. #19099290C22semidirect
42. #19099288C22semidirect
43. #19099272C22semidirect
44. #19099272C22semidirect
46. #19099270C22semidirect
81. #19098927C22semidirect
86. #19098926C22semidirect
87. #19098926C22semidirect
88. #19098925C22semidirect
89. #19098923C22semidirect
90. #19098921C22semidirect
91. #19098921C22semidirect
92. #19098920C22semidirect
93. #19098918C22semidirect
94. #19098916C22semidirect
95. #19098916C22semidirect
96. #19098909C22semidirect
97. #19098908C22semidirect
98. #19098908C22semidirect
99. #19098873C22semidirect
100. #19098871C22semidirect
101. #19098869C22semidirect
102. #19098867C22semidirect
103. #19098865C22semidirect
104. #19098865C22semidirect
105. #19098865C22semidirect
106. #19098864C22semidirect
107. #19098863C22semidirect
108. #19098863C22semidirect
109. #19098862C22semidirect
110. #19098862C22semidirect
111. #19098861C22semidirect
112. #19098860C22semidirect
113. #19098854C22semidirect
114. #19098852C22semidirect
115. #19098851C22semidirect
116. #19098843C22semidirect
117. #19098842C22semidirect
118. #19098841C22semidirect
119. #19098840C22semidirect
120. #19098786C22semidirect
121. #19098786C22semidirect
122. #19098784C22semidirect
123. #19098784C22semidirect
124. #19098778C22semidirect
125. #19098778C22semidirect
126. #19098776C22semidirect
127. #19098776C22semidirect
131. #19098762C22semidirect
132. #19098762C22semidirect
134. #19098760C22semidirect
135. #19098760C22semidirect
139. #19098756C22semidirect
140. #19098756C22semidirect
141. #19098694C22semidirect
142. #19098693C22semidirect
143. #19098692C22semidirect
144. #19098692C22semidirect
145. #19098691C22semidirect
146. #19098691C22semidirect
147. #19098690C22semidirect
148. #19098675C22semidirect
149. #19098675C22semidirect
150. #19098673C22semidirect
151. #19098672C22semidirect
152. #19098671C22semidirect
153. #19098669C22semidirect
154. #19098665C22semidirect
155. #19098663C22semidirect
156. #19098663C22semidirect
157. #19098663C22semidirect
158. #19098662C22semidirect
159. #19098660C22semidirect
160. #19098660C22semidirect
161. #19098660C22semidirect
162. #19098654C22semidirect
163. C4×#11929613C22semidirect
164. #19098650C22semidirect
165. C4×#11929612C22semidirect
166. D8×Dic79C22semidirect
167. C4×#11929609C22semidirect
168. #19098643C22semidirect
188. #554×C79C22semidirect
191. #490×C79C22semidirect
192. #486×C79C22semidirect
193. #478×C79C22semidirect
194. #478×C79C22semidirect
195. #476×C79C22semidirect
197. #459×C79C22semidirect
198. #459×C79C22semidirect
199. #446×C79C22semidirect
200. #442×C79C22semidirect
201. #442×C79C22semidirect
202. C4×D8×C79C22semidirect
489. #11929623#41semidirect
872. #3366D79semidirect
886. C79#61337semidirect
905. #554C2×D79semidirect
946. #490C2×D79semidirect
958. #486C2×D79semidirect
973. #478C2×D79semidirect
974. #478C2×D79semidirect
978. #476C2×D79semidirect
1005. #459C2×D79semidirect
1006. #459C2×D79semidirect
1014. #446C2×D79semidirect
1019. #442C2×D79semidirect
1020. #442C2×D79semidirect
1038. C4×D8C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237772702
#237772202
#237761752
#237761702
#237761662
#237761632
#237761582
#237761532
#237761492
#237761462
#237761342
#237761322
#237761262
#237761252
#237761112
#237761082
#237761022
#237737552
#237737492
#490×D792
#237732302
#237732262
#237732172
#237729342
#237728752
#237723362
#237722292
#237722252
#237721972
C79×#33662
#6133779