Finite Group Databasebeta

← #35181811

Subgroups — #35181811

Order 20224.

1838 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777959C211yesmaximal, characteristic, complemented
2#23777436C211yesmaximal, characteristic, complemented
3#23776482C211yesmaximal, characteristic, complemented
4#23776478C211yesmaximal, characteristic, complemented
5#23776116C211yesmaximal, characteristic, complemented
6#23776113C211yesmaximal, characteristic, complemented
7#23775485C211yesmaximal, characteristic, complemented
8#23775481C211yesmaximal, characteristic, complemented
9#23775397C211yesmaximal, characteristic, complemented
10#23775384C211yesmaximal, characteristic, complemented
11#23775277C211yesmaximal, characteristic, complemented
12#23775271C211yesmaximal, characteristic, complemented
13#23775085C211yesmaximal, characteristic, complemented
14#23774955C211yesmaximal, characteristic, complemented
15#23774953C211yesmaximal, characteristic, complemented
16#23774914C211yesmaximal, characteristic, complemented
17#23774906C211yesmaximal, characteristic, complemented
18#23774858C211yesmaximal, characteristic, complemented
19#23774855C211yesmaximal, characteristic, complemented
20#23774741C211yesmaximal, characteristic, complemented
21#23774505C211yesmaximal, characteristic, complemented
22#23774502C211yesmaximal, characteristic, complemented
23#23774400C211yesmaximal, characteristic, complemented
24#23773658C211yesmaximal, characteristic, complemented
25#23773655C211yesmaximal, characteristic, complemented
26#23773494C211yesmaximal, characteristic, complemented
27#23772951C211yesmaximal, characteristic, complemented
28#23772948C211yesmaximal, characteristic, complemented
29C2×#19098776C211yesmaximal, characteristic, complemented
30#23772533C211yesmaximal, characteristic, complemented
31C79×#3280C211yesmaximal, characteristic, complemented
32C2×#14579191C2211yescharacteristic, complemented
33C2×#14579190C2211yescharacteristic, complemented
34C2×#14579180C2211yescharacteristic
35C22×#11929612C2211yescharacteristic
36#19099316—21no—
37#19099308—21no—
38#19099283C2211yescharacteristic, complemented
39#19099282C2211yescharacteristic, complemented
40#19099282C2211yescharacteristic, complemented
41#19099271C2211yescharacteristic
42#19099270C2211yescharacteristic
43#19099250—21no—
44#19099244—21no—
45#19099244—21no—
46#19099239—21no—
47#19099239—21no—
48D4×Dic158C2211yescharacteristic
49D4×Dic158C2211yescharacteristic, complemented
50#19099226C2211yescharacteristic
51#19099220C2211yescharacteristic, complemented
52#19099219—21no—
53#19099219C2211yescharacteristic, complemented
54#19099213C2211yescharacteristic, complemented
55#19099212C2211yescharacteristic, complemented
56#19099207C2211yescharacteristic
57#19099207C2211yescharacteristic
58#19099189—21no—
59#19099182C2211yescharacteristic, complemented
60#19099181—21no—
61#19099180—21no—
62#19099180C2211yescharacteristic, complemented
63#19099180C2211yescharacteristic, complemented
64#19099178C2211yescharacteristic, complemented
65#19099158—21no—
66#19099157—21no—
67#19099148—21no—
68#19099134C2211yescharacteristic, complemented
69#19099133C2211yescharacteristic, complemented
70#19099115C2211yescharacteristic
71#19099115C2211yescharacteristic
72#19099093C2211yescharacteristic
73C2×#14579148C2211yescharacteristic
74#19099069—21no—
75C2×#14579138—21no—
76#19099046C2211yescharacteristic, complemented
77#19099042C2211yescharacteristic, complemented
78C2×D4×Dic79C2211yescharacteristic
79#19098958C2211yescharacteristic, complemented
80#19098954C2211yescharacteristic, complemented
81#19098954C2211yescharacteristic, complemented
82#19098954C2211yescharacteristic, complemented
83#19098946C2211yescharacteristic
84#19098922C2211yescharacteristic, complemented
85#19098921C2211yescharacteristic, complemented
86#19098921C2211yescharacteristic, complemented
87#19098921C2211yescharacteristic, complemented
88#19098914C2211yescharacteristic, complemented
89#19098912C2211yescharacteristic, complemented
90#19098900C2211yescharacteristic, complemented
91#19098899C2211yescharacteristic
92#19098899C2211yescharacteristic, complemented
93#19098896C2211yescharacteristic
94#19098875C2211yescharacteristic, complemented
95#19098874C2211yescharacteristic, complemented
96#19098859C2211yescharacteristic, complemented
97#19098857C2211yescharacteristic, complemented
98#19098857C2211yescharacteristic, complemented
99#19098857C2211yescharacteristic, complemented
100#19098856C2211yescharacteristic, complemented
101#19098856C2211yescharacteristic, complemented
102#19098843C2211yescharacteristic, complemented
103#19098841C2211yescharacteristic, complemented
104#19098841C2211yescharacteristic, complemented
105#19098841C2211yescharacteristic, complemented
106#19098808C2211yescharacteristic, complemented
107#19098807C2211yescharacteristic, complemented
108#19098807C2211yescharacteristic, complemented
109#19098806C2211yescharacteristic, complemented
110#19098804C2211yescharacteristic
111#19098804C2211yescharacteristic, complemented
112#19098803C2211yescharacteristic, complemented
113#19098802C2211yescharacteristic
114#19098802C2211yescharacteristic
115#19098796C2211yescharacteristic
116#19098784C2211yescharacteristic, complemented
117#19098784C2211yescharacteristic, complemented
118#19098784C2211yescharacteristic, complemented
119#19098783C2211yescharacteristic, complemented
120#19098783C2211yescharacteristic, complemented
121#19098783C2211yescharacteristic, complemented
122#19098782C2211yescharacteristic, complemented
123#19098782C2211yescharacteristic, complemented
124#19098776C2211yescharacteristic
125#19098776C2211yescharacteristic
126#19098776C2211yescharacteristic
127#19098776C2211yescharacteristic
128#19098776C2211yescharacteristic
129#19098776C2211yescharacteristic
130#19098776C2211yescharacteristic
131#19098776C2211yescharacteristic
132#19098776C2211yescharacteristic
133#19098776C2211yescharacteristic
134#19098774C2211yescharacteristic, complemented
135#19098772C2211yescharacteristic, complemented
136#19098772C2211yescharacteristic, complemented
137#19098771C2211yescharacteristic, complemented
138#19098771C2211yescharacteristic, complemented
139#19098771C2211yescharacteristic, complemented
140#19098768C2211yescharacteristic, complemented
141#19098766C2211yescharacteristic, complemented
142#19098766C2211yescharacteristic, complemented
143#19098766C2211yescharacteristic, complemented
144#19098726C2211yescharacteristic, complemented
145#19098725C2211yescharacteristic, complemented
146#19098725C2211yescharacteristic, complemented
147#19098722C2211yescharacteristic, complemented
148#19098721C2211yescharacteristic
149#19098721C2211yescharacteristic, complemented
150#19098718C2211yescharacteristic
151#19098717C2211yescharacteristic, complemented
152#19098714C2211yescharacteristic
153#19098714C2211yescharacteristic
154#19098705C2211yescharacteristic
155#19098705C2211yescharacteristic
156#19098701C2211yescharacteristic, complemented
157#19098700C2211yescharacteristic, complemented
158#19098693C2211yescharacteristic, complemented
159#19098692C2211yescharacteristic, complemented
160#19098664C2211yescharacteristic, complemented
161#19098664C2211yescharacteristic, complemented
162#19098664C2211yescharacteristic, complemented
163#19098663C2211yescharacteristic, complemented
164#19098663C2211yescharacteristic, complemented
165#19098660C2211yescharacteristic, complemented
166#19098660C2211yescharacteristic, complemented
167#19098660C2211yescharacteristic, complemented
168C4×Dic316C2211yescharacteristic, complemented
169#19098655C2211yescharacteristic, complemented
170D8×Dic79C2211yescharacteristic
171#19098637C2211yescharacteristic, complemented
172#19098635C2211yescharacteristic
173#19098634C2211yescharacteristic, complemented
174#19098631C2211yescharacteristic
175C8×C22⋊D79C2211yescharacteristic
176#19098622C2211yescharacteristic, complemented
177#19098621C2211yescharacteristic, complemented
178#19098617C2211yescharacteristic
179#19098589C2211yescharacteristic, complemented
180#19098588C2211yescharacteristic, complemented
181C2×Dic79⋊C8C2211yescharacteristic
182#19098564C2211yescharacteristic, complemented
183#19098561C2211yescharacteristic, complemented
184C2×#14579086C2211yescharacteristic
185C2×#14579086C2211yescharacteristic, complemented
186#103×D79C2211yescharacteristic, complemented
187C2×#14579082C2211yescharacteristic
188C2×#135×C79C2211yescharacteristic
189C22×D8×C79C2211yescharacteristic
190#546×C79C2211yescharacteristic
191#546×C79C2211yescharacteristic
192#495×C79C2211yescharacteristic
193#467×C79C2211yescharacteristic
194#466×C79C2211yescharacteristic
195#463×C79C2211yescharacteristic
196#463×C79C2211yescharacteristic
197#450×C79C2211yescharacteristic
198#450×C79C2211yescharacteristic
199#449×C79C2211yescharacteristic
200#449×C79C2211yescharacteristic
201C4×D8×C79C2211yescharacteristic
202C8×D4×C79C2211yescharacteristic
203C2×#11929623—21no—
204C2×#11929623C2311yescharacteristic
205C2×#11929623C2311yescharacteristic
206C22×Dic158—21no—
207C22×Dic158C2311yescharacteristic
208C22×Dic158C2311yescharacteristic
209C2×Q8×D79C2311yescharacteristic
210C23×Dic79—21no—
211#14579191—42no—
212#14579190—42no—
213#14579180—42no—
214C2×Dic316C2311yescharacteristic
215C2×Dic316C2311yescharacteristic
216C2×Dic316C2311yescharacteristic
217C2×#11929614C2311yescharacteristic
218C2×#11929614C2311yescharacteristic
219C2×#11929614C2311yescharacteristic
220C2×#11929614C2311yescharacteristic
221C2×#11929612—42no—
222C2×#11929612C2311yescharacteristic
223C2×#11929612C2311yescharacteristic
224C2×#11929612C2311yescharacteristic
225C2×#11929612C2311yescharacteristic
226C2×#11929612C2311yescharacteristic
227C2×#11929612C2311yescharacteristic
228C2×#11929612C2311yescharacteristic
229C2×#11929612C2311yescharacteristic
230C2×#11929608C2311yescharacteristic
231C2×#11929607C2311yescharacteristic
232C22×C79⋊C8C2311yescharacteristic
233C2×C8×D79C2311yescharacteristic
234#14579161C2311yescharacteristic
235#14579161C2311yescharacteristic
236#14579160—21no—
237#14579160—21no—
238#14579160C2311yescharacteristic
239#14579160C2311yescharacteristic
240#14579160C2311yescharacteristic
241#14579159C2311yescharacteristic
242#14579159C2311yescharacteristic
243#14579159C2311yescharacteristic
244#14579156D411yescharacteristic
245#14579154—21no—
246#14579154—21no—
247#14579154—21no—
248#14579154—21no—
249#14579154—21no—
250#14579154—21no—
251#14579154—21no—
252#14579154—21no—
253#14579154—21no—
254#14579154—21no—
255#14579154D411yescharacteristic
256#14579152—21no—
257#14579151—21no—
258#14579151—21no—
259#14579151—21no—
260#14579151D411yescharacteristic
261#14579148—21no—
262#14579148—21no—
263#14579148—21no—
264#14579148—21no—
265#14579148—21no—
266#14579148C2311yescharacteristic
267#14579148C2311yescharacteristic
268#14579148C2311yescharacteristic
269#14579148C2311yescharacteristic
270#14579148C2311yescharacteristic
271#14579148C2311yescharacteristic
272#14579147—21no—
273#14579147—21no—
274#14579147—21no—
275#14579147D411yescharacteristic
276#14579145—21no—
277#14579145D411yescharacteristic
278#14579144—21no—
279#14579144—21no—
280#14579143—21no—
281#14579143—21no—
282#14579143—21no—
283#14579142—21no—
284#14579142—21no—
285#14579142—21no—
286#14579142—21no—
287#14579142—21no—
288#14579142—21no—
289#14579142—21no—
290#14579142—21no—
291#14579142D411yescharacteristic
292#14579141—21no—
293#14579141C2311yescharacteristic
294#14579140—21no—
295#14579140—21no—
296#14579140—21no—
297#14579140—21no—
298#14579140—21no—
299#14579140—21no—
300#14579140C2311yescharacteristic
301#14579140C2311yescharacteristic
302#14579140C2311yescharacteristic
303#14579140C2311yescharacteristic
304#14579139—21no—
305#14579138—21no—
306#14579138—21no—
307#14579138—21no—
308#14579138—21no—
309#14579138—21no—
310#14579138—21no—
311#14579138—21no—
312#14579138—21no—
313#14579138—21no—
314#14579138—21no—
315#14579138—21no—
316#14579138—21no—
317#14579138—21no—
318#14579138—21no—
319#14579138—21no—
320#14579138—21no—
321#14579138—21no—
322#14579138—21no—
323#14579138—21no—
324#14579138D411yescharacteristic
325#14579137C2311yescharacteristic
326#14579133—21no—
327#14579133—21no—
328#14579133—21no—
329#14579133—21no—
330#14579133D411yescharacteristic
331#14579132—21no—
332#14579132C2311yescharacteristic
333#14579132C2311yescharacteristic
334#14579130—21no—
335#14579130—21no—
336Q8×Dic79C2311yescharacteristic
337Q8×Dic79C2311yescharacteristic
338Q8×Dic79C2311yescharacteristic
339C4×Dic158C2311yescharacteristic
340C4×Dic158C2311yescharacteristic
341C4×Dic158C2311yescharacteristic
342#14579126—21no—
343#14579126—21no—
344#14579126C2311yescharacteristic
345#14579126C2311yescharacteristic
346#14579126C2311yescharacteristic
347D4×Dic79—21no—
348D4×Dic79—21no—
349D4×Dic79—21no—
350D4×Dic79—21no—
351D4×Dic79—21no—
352D4×Dic79—21no—
353D4×Dic79—21no—
354D4×Dic79C2311yescharacteristic
355D4×Dic79C2311yescharacteristic
356D4×Dic79C2311yescharacteristic
357D4×Dic79C2311yescharacteristic
358D4×Dic79C2311yescharacteristic
359D4×Dic79C2311yescharacteristic
360C4×C22⋊D79—21no—
361C4×C22⋊D79—21no—
362C4×C22⋊D79C2311yescharacteristic
363C4×C22⋊D79C2311yescharacteristic
364(C22⋊D79)⋊C4—21no—
365(C22⋊D79)⋊C4—21no—
366(C22⋊D79)⋊C4—21no—
367#14579120—21no—
368#14579120—21no—
369#14579120C2311yescharacteristic
370#14579118C2311yescharacteristic
371#14579117—21no—
372#14579117—21no—
373#14579117—21no—
374#14579117—21no—
375#14579117—21no—
376C2×C4⋊Dic79—21no—
377C2×C4⋊Dic79C2311yescharacteristic
378C2×C4⋊Dic79C2311yescharacteristic
379C2×Dic79⋊C4—21no—
380C2×Dic79⋊C4—21no—
381C4⋊C4×D79C2311yescharacteristic
382C2×C22⋊Dic79—21no—
383C2×C22⋊Dic79—21no—
384C2×C22⋊Dic79—21no—
385C2×C22⋊Dic79—21no—
386C2×C22⋊Dic79—21no—
387C2×C4×Dic79C2311yescharacteristic
388#14579095C2311yescharacteristic
389#14579095C2311yescharacteristic
390#14579095C2311yescharacteristic
391#14579094C2311yescharacteristic
392#14579094C2311yescharacteristic
393#14579094C2311yescharacteristic
394#14579094C2311yescharacteristic
395C4⋊(C79⋊C8)C2311yescharacteristic
396Dic79⋊C8C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404#14579086C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579086C2311yescharacteristic
408#14579086C2311yescharacteristic
409#14579086C2311yescharacteristic
410#14579086C2311yescharacteristic
411#14579086C2311yescharacteristic
412#14579086C2311yescharacteristic
413#14579086C2311yescharacteristic
414#14579085C2311yescharacteristic
415#14579085C2311yescharacteristic
416#14579085C2311yescharacteristic
417#14579085C2311yescharacteristic
418#14579084C2311yescharacteristic
419#14579084C2311yescharacteristic
420#14579084C2311yescharacteristic
421#14579084C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579082C2311yescharacteristic
428#14579082C2311yescharacteristic
429#14579082C2311yescharacteristic
430C22⋊(C79⋊C8)C2311yescharacteristic
431C22⋊(C79⋊C8)C2311yescharacteristic
432(C2×D79)⋊C8C2311yescharacteristic
433(C2×D79)⋊C8C2311yescharacteristic
434#14579072C2311yescharacteristic
435#14579071C2311yescharacteristic
436#14579071C2311yescharacteristic
437#14579071C2311yescharacteristic
438C8×Dic79C2311yescharacteristic
439C2×#41×C79C2311yescharacteristic
440C2×#41×C79C2311yescharacteristic
441C22×D4×C79C2311yescharacteristic
442C22×D4×C79C2311yescharacteristic
443#135×C79—42no—
444C2×Q16×C79C2311yescharacteristic
445C2×SD16×C79C2311yescharacteristic
446C2×SD16×C79C2311yescharacteristic
447C2×SD16×C79C2311yescharacteristic
448C2×SD16×C79C2311yescharacteristic
449C2×D8×C79—42no—
450C2×D8×C79C2311yescharacteristic
451C2×D8×C79C2311yescharacteristic
452C2×D8×C79C2311yescharacteristic
453C2×D8×C79C2311yescharacteristic
454C22×C8×C79C2311yescharacteristic
455C22×C8×C79C2311yescharacteristic
456#124×C79C2311yescharacteristic
457#124×C79C2311yescharacteristic
458#123×C79—21no—
459#123×C79—21no—
460C22⋊Q8×C79C2311yescharacteristic
461C22⋊Q8×C79C2311yescharacteristic
462#121×C79—21no—
463#121×C79—21no—
464#121×C79C2311yescharacteristic
465#121×C79C2311yescharacteristic
466#120×C79—21no—
467#120×C79—21no—
468C4×D4×C79C2311yescharacteristic
469C4×D4×C79C2311yescharacteristic
470C4×D4×C79C2311yescharacteristic
471C2×C22⋊C4×C79—21no—
472C2×C22⋊C4×C79—21no—
473#107×C79C2311yescharacteristic
474C4⋊C8×C79C2311yescharacteristic
475#103×C79C2311yescharacteristic
476#103×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481C22⋊C8×C79C2311yescharacteristic
482C22⋊C8×C79C2311yescharacteristic
483C4×C8×C79C2311yescharacteristic
484#11929623—22no—
485#11929623—41no—
486#11929623—41no—
487#11929623—41no—
488#11929623—82no—
489C2×Dic158—21no—
490C2×Dic158—21no—
491C2×Dic158—21no—
492C2×Dic158—21no—
493C2×Dic158—21no—
494C2×Dic158—21no—
495C2×Dic158—21no—
496C2×Dic158—41no—
497C2×Dic158—41no—
498C2×Dic158—41no—
499C2×Dic158—41no—
500C2×Dic158—82no—
501C2×Dic158C2×D411yescharacteristic
502C2×Dic158C2411yescharacteristic
503C2×Dic158C2411yescharacteristic
504C2×Dic158C2411yescharacteristic
505C2×Dic158C2411yescharacteristic
506Q8×D79—41no—
507Q8×D79—41no—
508C2×C22⋊D79—21no—
509C2×C22⋊D79—21no—
510C2×C22⋊D79—21no—
511C2×C22⋊D79—21no—
512C2×C22⋊D79C2×D411yescharacteristic
513C2×C22⋊D79C2×D411yescharacteristic
514C22×Dic79—21no—
515C22×Dic79—21no—
516C22×Dic79—21no—
517C22×Dic79—21no—
518C22×Dic79—21no—
519C22×Dic79—21no—
520C22×Dic79—21no—
521C22×Dic79—21no—
522C22×Dic79—21no—
523C22×Dic79—21no—
524C22×Dic79—21no—
525C22×Dic79—21no—
526C22×Dic79—82no—
527C22×Dic79C2×D411yescharacteristic
528C22×Dic79C2×D411yescharacteristic
529C2×C4×D79—21no—
530C2×C4×D79—21no—
531C2×C4×D79C2411yescharacteristic
532Dic316—41no—
533Dic316—41no—
534Dic316—41no—
535#11929614—41no—
536#11929614—41no—
537#11929614—41no—
538#11929614—41no—
539#11929612—22no—
540#11929612—22no—
541#11929612—22no—
542#11929612—41no—
543#11929612—41no—
544#11929612—41no—
545#11929612—41no—
546#11929612—41no—
547#11929608—41no—
548#11929607—41no—
549C2×C79⋊C8—41no—
550C2×C79⋊C8C2411yescharacteristic
551C2×C79⋊C8C2411yescharacteristic
552C2×C79⋊C8C2411yescharacteristic
553C2×C79⋊C8C2411yescharacteristic
554C8×D79—41no—
555C4⋊Dic79—21no—
556C4⋊Dic79—21no—
557C4⋊Dic79—21no—
558C4⋊Dic79—21no—
559C4⋊Dic79—21no—
560C4⋊Dic79—21no—
561C4⋊Dic79—21no—
562C4⋊Dic79—21no—
563C4⋊Dic79—21no—
564C4⋊Dic79C2×D411yescharacteristic
565C4⋊Dic79C2×D411yescharacteristic
566C4⋊Dic79C2×D411yescharacteristic
567C4⋊Dic79C2411yescharacteristic
568C4⋊Dic79C2411yescharacteristic
569C4⋊Dic79C2411yescharacteristic
570C4⋊Dic79C2411yescharacteristic
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⋊C4—21no—
587Dic79⋊C4—21no—
588Dic79⋊C4—21no—
589Dic79⋊C4—21no—
590Dic79⋊C4—21no—
591Dic79⋊C4C2×D411yescharacteristic
592Dic79⋊C4C2×D411yescharacteristic
593Dic79⋊C4C2×D411yescharacteristic
594Dic79⋊C4C2×D411yescharacteristic
595Dic79⋊C4C2×D411yescharacteristic
596Dic79⋊C4C2×D411yescharacteristic
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—
606C22⋊Dic79—21no—
607C22⋊Dic79—21no—
608C22⋊Dic79—21no—
609C22⋊Dic79—21no—
610C22⋊Dic79—21no—
611C22⋊Dic79—21no—
612C22⋊Dic79—21no—
613C22⋊Dic79—21no—
614C22⋊Dic79—21no—
615C22⋊Dic79—21no—
616C22⋊Dic79—21no—
617C22⋊Dic79—21no—
618C22⋊Dic79—21no—
619C22⋊Dic79—21no—
620C22⋊Dic79—21no—
621C22⋊Dic79C2×D411yescharacteristic
622C22⋊Dic79C2×D411yescharacteristic
623C22⋊Dic79C2×D411yescharacteristic
624C22⋊Dic79C2×D411yescharacteristic
625(C2×D79)⋊C4—21no—
626(C2×D79)⋊C4—21no—
627(C2×D79)⋊C4C2×D411yescharacteristic
628(C2×D79)⋊C4C2×D411yescharacteristic
629(C2×D79)⋊C4C2×D411yescharacteristic
630(C2×D79)⋊C4C2×D411yescharacteristic
631C4×Dic79—21no—
632C4×Dic79—21no—
633C4×Dic79—21no—
634C4×Dic79—21no—
635C4×Dic79—21no—
636C4×Dic79—21no—
637C4×Dic79—21no—
638C4×Dic79—21no—
639C4×Dic79C2×D411yescharacteristic
640C4×Dic79C2×D411yescharacteristic
641C4×Dic79C2411yescharacteristic
642C4×Dic79C2411yescharacteristic
643C4×Dic79C2411yescharacteristic
644C24×C79—21no—
645C24×C79—21no—
646#41×C79—22no—
647#41×C79—41no—
648#41×C79—41no—
649#41×C79—41no—
650C2×Q8×C79C2411yescharacteristic
651C2×Q8×C79C2411yescharacteristic
652C2×D4×C79—22no—
653C2×D4×C79—21no—
654C2×D4×C79—21no—
655C2×D4×C79—21no—
656C2×D4×C79—21no—
657C2×D4×C79—21no—
658C2×D4×C79—21no—
659C2×D4×C79—41no—
660C2×D4×C79—41no—
661C2×D4×C79—41no—
662C2×D4×C79C2×D411yescharacteristic
663C2×D4×C79C2411yescharacteristic
664C2×D4×C79C2411yescharacteristic
665C2×D4×C79C2411yescharacteristic
666C2×D4×C79C2411yescharacteristic
667C22×C4×C79—21no—
668C22×C4×C79—21no—
669C22×C4×C79—21no—
670C22×C4×C79—21no—
671C22×C4×C79C2411yescharacteristic
672C22×C4×C79C2411yescharacteristic
673Q16×C79—41no—
674SD16×C79—22no—
675SD16×C79—41no—
676SD16×C79—41no—
677SD16×C79—41no—
678D8×C79—22no—
679D8×C79—22no—
680D8×C79—41no—
681D8×C79—41no—
682C2×C8×C79—41no—
683C2×C8×C79—41no—
684C2×C8×C79C2411yescharacteristic
685C2×C8×C79C2411yescharacteristic
686C2×C8×C79C2411yescharacteristic
687C2×C8×C79C2411yescharacteristic
688C4⋊C4×C79—21no—
689C4⋊C4×C79—21no—
690C4⋊C4×C79C2×D411yescharacteristic
691C4⋊C4×C79C2411yescharacteristic
692C4⋊C4×C79C2411yescharacteristic
693C22⋊C4×C79—21no—
694C22⋊C4×C79—21no—
695C22⋊C4×C79—21no—
696C22⋊C4×C79—21no—
697C22⋊C4×C79—21no—
698C22⋊C4×C79—21no—
699C22⋊C4×C79—21no—
700C22⋊C4×C79—21no—
701C22⋊C4×C79—21no—
702C22⋊C4×C79—21no—
703C22⋊C4×C79C2×D411yescharacteristic
704C22⋊C4×C79C2×D411yescharacteristic
705C42×C79C2411yescharacteristic
706C23×C79—21no—
707C23×C79—21no—
708C23×C79—21no—
709C23×C79—21no—
710C23×C79—42no—
711C23×C79—42no—
712C23×C79—42no—
713C23×C79—81no—
714C23×C79—81no—
715C23×C79—81no—
716C23×C79C22×D411yescharacteristic
717C23×C79C22×D411yescharacteristic
718C22×D79C22×D411yescharacteristic
719Q8×C79—21no—
720Q8×C79—21no—
721Q8×C79—21no—
722Q8×C79—21no—
723D4×C79—22no—
724D4×C79—21no—
725D4×C79—21no—
726D4×C79—21no—
727D4×C79—21no—
728D4×C79—21no—
729D4×C79—21no—
730D4×C79—21no—
731D4×C79—42no—
732D4×C79—42no—
733D4×C79—81no—
734D4×C79—81no—
735D4×C79—81no—
736D4×C79—81no—
737D4×C79H(5,𝔽2)12yes—
738C2×C4×C79—21no—
739C2×C4×C79—21no—
740C2×C4×C79—21no—
741C2×C4×C79—21no—
742C2×C4×C79—21no—
743C2×C4×C79—21no—
744C2×C4×C79—21no—
745C2×C4×C79—21no—
746C2×C4×C79—42no—
747C2×C4×C79—81no—
748C2×C4×C79—81no—
749C2×C4×C79—81no—
750C2×C4×C79C22×D411yescharacteristic
751C2×C4×C79C22×D411yescharacteristic
752C2×C4×C79C22×D411yescharacteristic
753C2×C4×C79C22×D411yescharacteristic
754C2×C4×C79C2511yescharacteristic
755C22⋊D79—22no—
756C22⋊D79—41no—
757C22⋊D79—42no—
758C22⋊D79—81no—
759C22⋊D79—81no—
760C22⋊D79—81no—
761C2×Dic79—22no—
762C2×Dic79—21no—
763C2×Dic79—21no—
764C2×Dic79—21no—
765C2×Dic79—21no—
766C2×Dic79—21no—
767C2×Dic79—21no—
768C2×Dic79—21no—
769C2×Dic79—21no—
770C2×Dic79—41no—
771C2×Dic79—42no—
772C2×Dic79—42no—
773C2×Dic79—42no—
774C2×Dic79—81no—
775C2×Dic79—81no—
776C2×Dic79—81no—
777C2×Dic79—81no—
778C2×Dic79—81no—
779C2×Dic79—81no—
780C2×Dic79—81no—
781C2×Dic79—81no—
782C2×Dic79—81no—
783C2×Dic79C22×D411yescharacteristic
784C2×Dic79C22×D411yescharacteristic
785C2×Dic79C22×D411yescharacteristic
786C2×Dic79C22×D411yescharacteristic
787C2×Dic79C22×D411yescharacteristic
788C2×Dic79C22×D411yescharacteristic
789C2×Dic79C22×D411yescharacteristic
790C4×D79—21no—
791C4×D79—21no—
792C4×D79—81no—
793C4×D79—81no—
794Dic158—21no—
795Dic158—21no—
796Dic158—21no—
797Dic158—21no—
798Dic158—21no—
799Dic158—21no—
800Dic158—21no—
801Dic158—21no—
802Dic158—41no—
803Dic158—42no—
804Dic158—81no—
805Dic158—81no—
806Dic158—81no—
807Dic158—81no—
808Dic158—81no—
809Dic158—81no—
810C8×C79—21no—
811C8×C79—21no—
812C8×C79—21no—
813C8×C79—21no—
814C79⋊C8—21no—
815C79⋊C8—21no—
816C79⋊C8—21no—
817C79⋊C8—21no—
818C22×C79—21no—
819C22×C79—21no—
820C22×C79—21no—
821C22×C79—22no—
822C22×C79—21no—
823C22×C79—21no—
824C22×C79—41no—
825C22×C79—41no—
826C22×C79—41no—
827C22×C79—41no—
828C22×C79—41no—
829C22×C79—41no—
830C22×C79—41no—
831C22×C79—41no—
832C22×C79—41no—
833C22×C79—41no—
834C22×C79—41no—
835C22×C79—84no—
836C22×C79—162no—
837C22×C79#57812yes—
838C22×C79C23×D411yescharacteristic
839C2×D79—21no—
840C2×D79—21no—
841C2×D79—21no—
842C4×C79—21no—
843C4×C79—21no—
844C4×C79—21no—
845C4×C79—21no—
846C4×C79—41no—
847C4×C79—41no—
848C4×C79—41no—
849C4×C79—41no—
850C4×C79C2×H(5,𝔽2)11yescharacteristic
851C4×C79#58511yescharacteristic
852Dic79—21no—
853Dic79—21no—
854Dic79—21no—
855Dic79—21no—
856Dic79—21no—
857Dic79—21no—
858Dic79—21no—
859Dic79—41no—
860Dic79—41no—
861Dic79—41no—
862Dic79—41no—
863Dic79—41no—
864Dic79—41no—
865Dic79—41no—
866Dic79—41no—
867#62017—791nomaximal, Sylow
868C2×C79—22no—
869C2×C79—41no—
870C2×C79—42no—
871C2×C79—81no—
872C2×C79—81no—
873C2×C79—81no—
874C2×C79#348811yescharacteristic
875C2×C79C2×#57811yescharacteristic
876C2×C79#358511yescharacteristic
877D79—41no—
878#3561—791no—
879#3520—791no—
880#3402—791no—
881#3402—791no—
882#3367—791no—
883#3367—791no—
884#3314—791no—
885#3314—791no—
886#3308—791no—
887#3308—791no—
888#3299—791no—
889#3299—791no—
890#3280—791no—
891#3280D7911yescharacteristic, complemented
892#3269—791no—
893#3269—791no—
894#3266—791no—
895#3266—791no—
896#3262—791no—
897#3262—791no—
898#3249—791no—
899#3225—791no—
900#3225—791no—
901#3215—791no—
902#3124—791no—
903#3124—791no—
904#3110—791no—
905#3046—791no—
906#3046—791no—
907C2×#463—791no—
908#2992—791no—
909C79#6201711yescharacteristic, complemented, Sylow
910C2×#137—791no—
911C2×#137—791no—
912C2×#135—791no—
913C2×#135C2×D7911yescharacteristic
914C22×SD16—791no—
915C22×D8C2×D7911yescharacteristic
916#563—1581no—
917#562—1581no—
918#556—791no—
919#556—791no—
920#556—791no—
921#554—791no—
922#554—791no—
923#552—1581no—
924#551—1581no—
925#551—1581no—
926#551—1581no—
927#551—1581no—
928D4×Q8—791no—
929D4×Q8—791no—
930D4×Q8—791no—
931#548—791no—
932#548—791no—
933#548—1581no—
934#547—791no—
935#547—791no—
936#546—791no—
937#546—791no—
938#546C2×D7911yescharacteristic
939#546C2×D7911yescharacteristic
940#543—1581no—
941#542—791no—
942#542—791no—
943#542—791no—
944#542—791no—
945#542—1581no—
946#542—1581no—
947#539—1581no—
948#539—1581no—
949#538—1581no—
950#536—791no—
951#536—791no—
952#533—791no—
953#533—791no—
954#529—791no—
955C2×#124—791no—
956#525—1581no—
957C2×C22⋊Q8—1581no—
958#520—791no—
959#520—791no—
960C2×C4×D4—791no—
961#497—791no—
962#497—791no—
963#497—791no—
964#497—791no—
965#495—791no—
966#495C2×D7911yescharacteristic
967#489—791no—
968#489—791no—
969#489—791no—
970#489—791no—
971#487—791no—
972#487—791no—
973#484—791no—
974#484—791no—
975#484—791no—
976#484—791no—
977#480—791no—
978#480—791no—
979#477—791no—
980#477—791no—
981#477—791no—
982#477—791no—
983#477—791no—
984#477—791no—
985#474—791no—
986#474—791no—
987#474—791no—
988#474—791no—
989#468—791no—
990#468—791no—
991#468—791no—
992#468—791no—
993#467—791no—
994#467—791no—
995#467—791no—
996#467—791no—
997#467—791no—
998#467C2×D7911yescharacteristic
999#466—791no—
1000#466C2×D7911yescharacteristic
1001#464—791no—
1002#464—791no—
1003#464—791no—
1004#464—791no—
1005#464—791no—
1006#464—791no—
1007#464—791no—
1008#464—791no—
1009#463—791no—
1010#463—791no—
1011#463—791no—
1012#463—791no—
1013#463—791no—
1014#463—791no—
1015#463—791no—
1016#463—791no—
1017#463—791no—
1018#463—791no—
1019#463C2×D7911yescharacteristic
1020#463C2×D7911yescharacteristic
1021#462—791no—
1022#462—791no—
1023#462—791no—
1024#462—791no—
1025#462—791no—
1026#462—791no—
1027#461—791no—
1028#461—791no—
1029#461—791no—
1030#461—791no—
1031#452—791no—
1032#452—791no—
1033#452—791no—
1034#452—791no—
1035#451—791no—
1036#451—791no—
1037#451—791no—
1038#451—791no—
1039#450—791no—
1040#450—791no—
1041#450C2×D7911yescharacteristic
1042#450C2×D7911yescharacteristic
1043#449—791no—
1044#449—791no—
1045#449C2×D7911yescharacteristic
1046#449C2×D7911yescharacteristic
1047#448—791no—
1048#448—791no—
1049#446—791no—
1050#446—791no—
1051#440—791no—
1052#440—791no—
1053#440—791no—
1054#440—791no—
1055#440—791no—
1056#440—791no—
1057#440—791no—
1058#440—791no—
1059C4×Q16—791no—
1060C4×Q16—791no—
1061C4×D8—791no—
1062C4×D8C2×D7911yescharacteristic
1063#435—791no—
1064#435—791no—
1065#435—791no—
1066#435—791no—
1067C8×D4—791no—
1068C8×D4C2×D7911yescharacteristic
1069#433—791no—
1070#433—791no—
1071#432—791no—
1072#424—791no—
1073#424—791no—
1074C2×C4⋊C8—791no—
1075#417—791no—
1076#417—791no—
1077C2×#103—791no—
1078C2×#103—791no—
1079C2×#103—791no—
1080C2×#102—791no—
1081C2×#41—791no—
1082C2×#41—791no—
1083C2×#41—1581no—
1084C2×#41C22×D7911yescharacteristic
1085C2×#41C22×D7911yescharacteristic
1086C22×Q8—791no—
1087C22×Q8—791no—
1088C22×Q8—791no—
1089C22×Q8—1581no—
1090C22×D4C22×D7911yescharacteristic
1091C22×D4C22×D7911yescharacteristic
1092C23×C4—1581no—
1093#137—3162no—
1094#137—3162no—
1095#135—42no—
1096#135—3162no—
1097C2×Q16—791no—
1098C2×Q16—791no—
1099C2×Q16—791no—
1100C2×Q16—791no—
1101C2×Q16—791no—
1102C2×Q16—791no—
1103C2×Q16—791no—
1104C2×Q16C22×D7911yescharacteristic
1105C2×SD16—3162no—
1106C2×SD16—791no—
1107C2×SD16—791no—
1108C2×SD16—791no—
1109C2×SD16—791no—
1110C2×SD16—791no—
1111C2×SD16—791no—
1112C2×SD16—791no—
1113C2×SD16—791no—
1114C2×SD16C22×D7911yescharacteristic
1115C2×SD16C22×D7911yescharacteristic
1116C2×SD16C22×D7911yescharacteristic
1117C2×SD16C22×D7911yescharacteristic
1118C2×D8—42no—
1119C2×D8C22×D7911yescharacteristic
1120C2×D8C22×D7911yescharacteristic
1121C2×D8C22×D7911yescharacteristic
1122C2×D8C22×D7911yescharacteristic
1123C2×M16—791no—
1124C2×M16—791no—
1125C22×C8—791no—
1126C22×C8—791no—
1127C22×C8C22×D7911yescharacteristic
1128C22×C8C22×D7911yescharacteristic
1129C4⋊Q8—791no—
1130C4⋊Q8—791no—
1131C4⋊Q8—791no—
1132C4⋊Q8—791no—
1133C4⋊Q8—791no—
1134C4⋊Q8—791no—
1135C4⋊Q8—791no—
1136C4⋊Q8—791no—
1137C4⋊Q8—1581no—
1138C4⋊Q8—1581no—
1139#126—791no—
1140#126—791no—
1141#126—1581no—
1142#126—1581no—
1143#126—1581no—
1144#126—1581no—
1145#126—1581no—
1146#126—1581no—
1147#126—1581no—
1148#126—1581no—
1149#126—1581no—
1150#126—1581no—
1151#125—791no—
1152#125—1581no—
1153#125—1581no—
1154#125—1581no—
1155#125—1581no—
1156#124—791no—
1157#124—791no—
1158#124—791no—
1159#124—791no—
1160#124—791no—
1161#124—791no—
1162#124—791no—
1163#124—1581no—
1164#124—1581no—
1165#124—1581no—
1166#124—1581no—
1167#124—1581no—
1168#124—1581no—
1169#124—1581no—
1170#124—1581no—
1171#124C22×D7911yescharacteristic
1172#124C22×D7911yescharacteristic
1173#123—21no—
1174#123—21no—
1175#123—791no—
1176#123—791no—
1177#123—1581no—
1178#123—1581no—
1179#123—1581no—
1180#123—1581no—
1181#123—1581no—
1182#123—1581no—
1183#123—1581no—
1184#123—1581no—
1185#123—1581no—
1186#123—1581no—
1187#123—1581no—
1188#123—1581no—
1189#123—1581no—
1190#123—1581no—
1191C22⋊Q8—791no—
1192C22⋊Q8—791no—
1193C22⋊Q8—791no—
1194C22⋊Q8—791no—
1195C22⋊Q8—791no—
1196C22⋊Q8—791no—
1197C22⋊Q8—791no—
1198C22⋊Q8—1581no—
1199C22⋊Q8—1581no—
1200C22⋊Q8—1581no—
1201C22⋊Q8—1581no—
1202C22⋊Q8—1581no—
1203C22⋊Q8—1581no—
1204C22⋊Q8—1581no—
1205C22⋊Q8—1581no—
1206C22⋊Q8—1581no—
1207C22⋊Q8—1581no—
1208C22⋊Q8—1581no—
1209C22⋊Q8—1581no—
1210C22⋊Q8—1581no—
1211C22⋊Q8—1581no—
1212C22⋊Q8—1581no—
1213C22⋊Q8—1581no—
1214C22⋊Q8—1581no—
1215C22⋊Q8—1581no—
1216C22⋊Q8—1581no—
1217C22⋊Q8—1581no—
1218C22⋊Q8—1581no—
1219C22⋊Q8—1581no—
1220C22⋊Q8—1581no—
1221C22⋊Q8—1581no—
1222C22⋊Q8—1581no—
1223C22⋊Q8—1581no—
1224C22⋊Q8—1581no—
1225C22⋊Q8C22×D7911yescharacteristic
1226C22⋊Q8C22×D7911yescharacteristic
1227#121—21no—
1228#121—21no—
1229#121—791no—
1230#121—791no—
1231#121—791no—
1232#121—1581no—
1233#121—1581no—
1234#121—1581no—
1235#121—1581no—
1236#121—1581no—
1237#121C22×D7911yescharacteristic
1238#121C22×D7911yescharacteristic
1239#120—21no—
1240#120—21no—
1241#120—1581no—
1242#120—1581no—
1243C4×Q8—791no—
1244C4×Q8—791no—
1245C4×Q8—791no—
1246C4×Q8—791no—
1247C4×Q8—791no—
1248C4×Q8—791no—
1249C4×Q8—791no—
1250C4×Q8—791no—
1251C4×Q8—791no—
1252C4×Q8—1581no—
1253C4×Q8—1581no—
1254C4×D4—791no—
1255C4×D4—791no—
1256C4×D4—791no—
1257C4×D4—791no—
1258C4×D4—791no—
1259C4×D4—791no—
1260C4×D4—791no—
1261C4×D4—791no—
1262C4×D4—1581no—
1263C4×D4—1581no—
1264C4×D4—1581no—
1265C4×D4—1581no—
1266C4×D4—1581no—
1267C4×D4—1581no—
1268C4×D4—1581no—
1269C4×D4—1581no—
1270C4×D4—1581no—
1271C4×D4—1581no—
1272C4×D4—1581no—
1273C4×D4—1581no—
1274C4×D4C22×D7911yescharacteristic
1275C4×D4C22×D7911yescharacteristic
1276C4×D4C22×D7911yescharacteristic
1277#117—791no—
1278#117—791no—
1279#117—1581no—
1280#117—1581no—
1281#117—1581no—
1282#117—1581no—
1283#117—1581no—
1284#117—1581no—
1285#117—1581no—
1286C2×C4⋊C4—791no—
1287C2×C4⋊C4—791no—
1288C2×C4⋊C4—791no—
1289C2×C4⋊C4—1581no—
1290C2×C4⋊C4—1581no—
1291C2×C4⋊C4—1581no—
1292C2×C22⋊C4—21no—
1293C2×C22⋊C4—21no—
1294C2×C22⋊C4—1581no—
1295C2×C22⋊C4—1581no—
1296C2×C22⋊C4—1581no—
1297C2×C22⋊C4—1581no—
1298C2×C22⋊C4—1581no—
1299C2×C42—791no—
1300#107—791no—
1301#107—791no—
1302#107—791no—
1303#107—791no—
1304#107—791no—
1305#107—791no—
1306#107—791no—
1307#107C22×D7911yescharacteristic
1308C4⋊C8—791no—
1309C4⋊C8—791no—
1310C4⋊C8—791no—
1311C4⋊C8—791no—
1312C4⋊C8—791no—
1313C4⋊C8—791no—
1314C4⋊C8—791no—
1315C4⋊C8—791no—
1316C4⋊C8—791no—
1317C4⋊C8C22×D7911yescharacteristic
1318#103—791no—
1319#103—791no—
1320#103—791no—
1321#103—791no—
1322#103—791no—
1323#103—791no—
1324#103—791no—
1325#103—791no—
1326#103—791no—
1327#103—791no—
1328#103—791no—
1329#103—791no—
1330#103—791no—
1331#103—791no—
1332#103—791no—
1333#103—791no—
1334#103—791no—
1335#103—791no—
1336#103C22×D7911yescharacteristic
1337#103C22×D7911yescharacteristic
1338#102—791no—
1339#102—791no—
1340#102—791no—
1341#102—791no—
1342#102—791no—
1343#102—791no—
1344#102—791no—
1345#102—791no—
1346#102C22×D7911yescharacteristic
1347#102C22×D7911yescharacteristic
1348#102C22×D7911yescharacteristic
1349#102C22×D7911yescharacteristic
1350C22⋊C8—791no—
1351C22⋊C8—791no—
1352C22⋊C8—791no—
1353C22⋊C8—791no—
1354C22⋊C8C22×D7911yescharacteristic
1355C22⋊C8C22×D7911yescharacteristic
1356#97—791no—
1357#97—791no—
1358#97—791no—
1359#97—791no—
1360C4×C8—791no—
1361C4×C8C22×D7911yescharacteristic
1362C24—21no—
1363C24—21no—
1364#41—22no—
1365#41—41no—
1366#41—41no—
1367#41—41no—
1368#41—3161no—
1369#41—3161no—
1370#41—3161no—
1371#41—6322no—
1372#41—1582no—
1373C2×Q8—3161no—
1374C2×Q8—3161no—
1375C2×Q8—3161no—
1376C2×Q8—3161no—
1377C2×Q8—3161no—
1378C2×Q8—3161no—
1379C2×Q8—791no—
1380C2×Q8—791no—
1381C2×Q8—791no—
1382C2×Q8—791no—
1383C2×Q8—791no—
1384C2×Q8—6322no—
1385C2×Q8—1581no—
1386C2×Q8—1581no—
1387C2×Q8—1581no—
1388C2×Q8—1581no—
1389C2×Q8—1581no—
1390C2×Q8—1581no—
1391C2×Q8—1581no—
1392C2×Q8C23×D7911yescharacteristic
1393C2×Q8C23×D7911yescharacteristic
1394C2×D4—22no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—791no—
1405C2×D4—791no—
1406C2×D4—1581no—
1407C2×D4—1581no—
1408C2×D4—1581no—
1409C2×D4—1581no—
1410C2×D4D4×D7911yescharacteristic
1411C2×D4C23×D7911yescharacteristic
1412C2×D4C23×D7911yescharacteristic
1413C2×D4C23×D7911yescharacteristic
1414C2×D4C23×D7911yescharacteristic
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—791no—
1420C22×C4—791no—
1421C22×C4—791no—
1422C22×C4—6322no—
1423C22×C4—1581no—
1424C22×C4—1581no—
1425C22×C4—1581no—
1426C22×C4—1581no—
1427C22×C4—1581no—
1428C22×C4—1581no—
1429C22×C4—1581no—
1430C22×C4—1581no—
1431C22×C4—1581no—
1432C22×C4—1581no—
1433C22×C4—1581no—
1434C22×C4—1581no—
1435C22×C4—1581no—
1436C22×C4—1581no—
1437C22×C4C23×D7911yescharacteristic
1438C22×C4C23×D7911yescharacteristic
1439Q16—41no—
1440Q16—3161no—
1441Q16—3161no—
1442Q16—3161no—
1443Q16—3161no—
1444Q16—3161no—
1445Q16—3161no—
1446Q16—3161no—
1447SD16—22no—
1448SD16—41no—
1449SD16—41no—
1450SD16—41no—
1451SD16—3161no—
1452SD16—3161no—
1453SD16—3161no—
1454SD16—3161no—
1455SD16—3161no—
1456SD16—1582no—
1457SD16—1582no—
1458SD16—1582no—
1459D8—22no—
1460D8—22no—
1461D8—41no—
1462D8—41no—
1463M16—3161no—
1464M16—3161no—
1465C2×C8—41no—
1466C2×C8—41no—
1467C2×C8—3161no—
1468C2×C8—3161no—
1469C2×C8—791no—
1470C2×C8—791no—
1471C2×C8—791no—
1472C2×C8—791no—
1473C2×C8C23×D7911yescharacteristic
1474C2×C8C23×D7911yescharacteristic
1475C2×C8C23×D7911yescharacteristic
1476C2×C8C23×D7911yescharacteristic
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—791no—
1480C4⋊C4—791no—
1481C4⋊C4—791no—
1482C4⋊C4—791no—
1483C4⋊C4—791no—
1484C4⋊C4—791no—
1485C4⋊C4—791no—
1486C4⋊C4—791no—
1487C4⋊C4—791no—
1488C4⋊C4—791no—
1489C4⋊C4—791no—
1490C4⋊C4—791no—
1491C4⋊C4—791no—
1492C4⋊C4—1581no—
1493C4⋊C4—1581no—
1494C4⋊C4—1581no—
1495C4⋊C4—1581no—
1496C4⋊C4—1581no—
1497C4⋊C4—1581no—
1498C4⋊C4—1581no—
1499C4⋊C4—1581no—
1500C4⋊C4—1581no—
1501C4⋊C4—1581no—
1502C4⋊C4—1581no—
1503C4⋊C4—1581no—
1504C4⋊C4—1581no—
1505C4⋊C4—1581no—
1506C4⋊C4—1581no—
1507C4⋊C4—1581no—
1508C4⋊C4—1581no—
1509C4⋊C4—1581no—
1510C4⋊C4—1581no—
1511C4⋊C4—1581no—
1512C4⋊C4—1581no—
1513C4⋊C4—1581no—
1514C4⋊C4—1581no—
1515C4⋊C4—1581no—
1516C4⋊C4—1581no—
1517C4⋊C4—1581no—
1518C4⋊C4—1581no—
1519C4⋊C4—1581no—
1520C4⋊C4—1581no—
1521C4⋊C4D4×D7911yescharacteristic
1522C4⋊C4C23×D7911yescharacteristic
1523C4⋊C4C23×D7911yescharacteristic
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—791no—
1535C22⋊C4—791no—
1536C22⋊C4—791no—
1537C22⋊C4—791no—
1538C22⋊C4—791no—
1539C22⋊C4—791no—
1540C22⋊C4—791no—
1541C22⋊C4—791no—
1542C22⋊C4—1581no—
1543C22⋊C4—1581no—
1544C22⋊C4—1581no—
1545C22⋊C4—1581no—
1546C22⋊C4—1581no—
1547C22⋊C4—1581no—
1548C22⋊C4—1581no—
1549C22⋊C4—1581no—
1550C22⋊C4—1581no—
1551C22⋊C4—1581no—
1552C22⋊C4—1581no—
1553C22⋊C4—1581no—
1554C22⋊C4—1581no—
1555C22⋊C4—1581no—
1556C22⋊C4—1581no—
1557C22⋊C4—1581no—
1558C22⋊C4—1581no—
1559C22⋊C4—1581no—
1560C22⋊C4—1581no—
1561C22⋊C4—1581no—
1562C22⋊C4—1581no—
1563C22⋊C4—1581no—
1564C22⋊C4—1581no—
1565C22⋊C4—1581no—
1566C22⋊C4—1581no—
1567C22⋊C4—1581no—
1568C22⋊C4D4×D7911yescharacteristic
1569C22⋊C4D4×D7911yescharacteristic
1570C42—791no—
1571C42—791no—
1572C42—791no—
1573C42—791no—
1574C42—791no—
1575C42—1581no—
1576C42—1581no—
1577C42—1581no—
1578C42—1581no—
1579C42—1581no—
1580C42—1581no—
1581C42—1581no—
1582C42—1581no—
1583C42C23×D7911yescharacteristic
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—42no—
1589C23—42no—
1590C23—42no—
1591C23—81no—
1592C23—81no—
1593C23—81no—
1594C23—791no—
1595C23C2×D4×D7911yescharacteristic
1596C23C2×D4×D7911yescharacteristic
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—3161no—
1602Q8—3162no—
1603Q8—6321no—
1604Q8—6321no—
1605Q8—6321no—
1606Q8—6321no—
1607Q8—6321no—
1608Q8—6321no—
1609Q8—1581no—
1610Q8—1581no—
1611Q8—1581no—
1612Q8—1581no—
1613Q8—1581no—
1614Q8—1581no—
1615Q8—1581no—
1616Q8—1581no—
1617D4—22no—
1618D4—21no—
1619D4—21no—
1620D4—21no—
1621D4—21no—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—42no—
1626D4—42no—
1627D4—81no—
1628D4—81no—
1629D4—81no—
1630D4—81no—
1631D4—3162no—
1632D4—3161no—
1633D4—6321no—
1634D4—6321no—
1635D4—6321no—
1636D4—1582no—
1637D4#1457920612yes—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—42no—
1647C2×C4—81no—
1648C2×C4—81no—
1649C2×C4—81no—
1650C2×C4—3162no—
1651C2×C4—3162no—
1652C2×C4—3162no—
1653C2×C4—3161no—
1654C2×C4—791no—
1655C2×C4—791no—
1656C2×C4—791no—
1657C2×C4—791no—
1658C2×C4—791no—
1659C2×C4—791no—
1660C2×C4—791no—
1661C2×C4—6321no—
1662C2×C4—6321no—
1663C2×C4—6321no—
1664C2×C4—6321no—
1665C2×C4—6321no—
1666C2×C4—6321no—
1667C2×C4—6321no—
1668C2×C4—6321no—
1669C2×C4—6321no—
1670C2×C4—6321no—
1671C2×C4—6321no—
1672C2×C4—1581no—
1673C2×C4—1581no—
1674C2×C4—1581no—
1675C2×C4—1581no—
1676C2×C4—1581no—
1677C2×C4—1581no—
1678C2×C4—1581no—
1679C2×C4—1581no—
1680C2×C4—1582no—
1681C2×C4—1581no—
1682C2×C4—1581no—
1683C2×C4C2×D4×D7911yescharacteristic
1684C2×C4C2×D4×D7911yescharacteristic
1685C2×C4C2×D4×D7911yescharacteristic
1686C2×C4C2×D4×D7911yescharacteristic
1687C2×C4C24×D7911yescharacteristic
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—1581no—
1693C8—1581no—
1694C8—1581no—
1695C8—1581no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—22no—
1700C22—21no—
1701C22—21no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—84no—
1714C22—162no—
1715C22—1581no—
1716C22—1581no—
1717C22—1581no—
1718C22#1909937712yes—
1719C22C22×D4×D7911yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—21no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—3161no—
1729C4—3161no—
1730C4—3161no—
1731C4—3161no—
1732C4—3161no—
1733C4—3161no—
1734C4—3161no—
1735C4—3161no—
1736C4—1581no—
1737C4—1581no—
1738C4—1581no—
1739C4—1581no—
1740C4—1581no—
1741C4—1581no—
1742C4—1581no—
1743C4C2×#1457920611yescharacteristic
1744C4#1909939811yescharacteristic
1745C2—22no—
1746C2—41no—
1747C2—42no—
1748C2—81no—
1749C2—81no—
1750C2—81no—
1751C2—3161no—
1752C2#2377706011yescharacteristic
1753C2C2×#1909937711yescharacteristic
1754C2#2377817511yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3280C2
socleC22×C79C23×D4
hypercenter#3280D79
hypocenterC79#62017
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3280

Complements

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

NH ≅ G/Ntype
1. #23777959C2semidirect
2. #23777436C2semidirect
3. #23776482C2semidirect
4. #23776478C2semidirect
5. #23776116C2semidirect
6. #23776113C2semidirect
7. #23775485C2semidirect
8. #23775481C2semidirect
9. #23775397C2semidirect
10. #23775384C2semidirect
11. #23775277C2semidirect
12. #23775271C2semidirect
13. #23775085C2semidirect
14. #23774955C2semidirect
15. #23774953C2semidirect
16. #23774914C2semidirect
17. #23774906C2semidirect
18. #23774858C2semidirect
19. #23774855C2semidirect
20. #23774741C2semidirect
21. #23774505C2semidirect
22. #23774502C2semidirect
23. #23774400C2semidirect
24. #23773658C2semidirect
25. #23773655C2semidirect
26. #23773494C2semidirect
27. #23772951C2semidirect
28. #23772948C2semidirect
29. C2×#19098776C2semidirect
30. #23772533C2semidirect
31. C79×#3280C2semidirect
32. C2×#14579191C22semidirect
33. C2×#14579190C22semidirect
38. #19099283C22semidirect
39. #19099282C22semidirect
40. #19099282C22semidirect
49. D4×Dic158C22semidirect
51. #19099220C22semidirect
53. #19099219C22semidirect
54. #19099213C22semidirect
55. #19099212C22semidirect
59. #19099182C22semidirect
62. #19099180C22semidirect
63. #19099180C22semidirect
64. #19099178C22semidirect
68. #19099134C22semidirect
69. #19099133C22semidirect
76. #19099046C22semidirect
77. #19099042C22semidirect
79. #19098958C22semidirect
80. #19098954C22semidirect
81. #19098954C22semidirect
82. #19098954C22semidirect
84. #19098922C22semidirect
85. #19098921C22semidirect
86. #19098921C22semidirect
87. #19098921C22semidirect
88. #19098914C22semidirect
89. #19098912C22semidirect
90. #19098900C22semidirect
92. #19098899C22semidirect
94. #19098875C22semidirect
95. #19098874C22semidirect
96. #19098859C22semidirect
97. #19098857C22semidirect
98. #19098857C22semidirect
99. #19098857C22semidirect
100. #19098856C22semidirect
101. #19098856C22semidirect
102. #19098843C22semidirect
103. #19098841C22semidirect
104. #19098841C22semidirect
105. #19098841C22semidirect
106. #19098808C22semidirect
107. #19098807C22semidirect
108. #19098807C22semidirect
109. #19098806C22semidirect
111. #19098804C22semidirect
112. #19098803C22semidirect
116. #19098784C22semidirect
117. #19098784C22semidirect
118. #19098784C22semidirect
119. #19098783C22semidirect
120. #19098783C22semidirect
121. #19098783C22semidirect
122. #19098782C22semidirect
123. #19098782C22semidirect
134. #19098774C22semidirect
135. #19098772C22semidirect
136. #19098772C22semidirect
137. #19098771C22semidirect
138. #19098771C22semidirect
139. #19098771C22semidirect
140. #19098768C22semidirect
141. #19098766C22semidirect
142. #19098766C22semidirect
143. #19098766C22semidirect
144. #19098726C22semidirect
145. #19098725C22semidirect
146. #19098725C22semidirect
147. #19098722C22semidirect
149. #19098721C22semidirect
151. #19098717C22semidirect
156. #19098701C22semidirect
157. #19098700C22semidirect
158. #19098693C22semidirect
159. #19098692C22semidirect
160. #19098664C22semidirect
161. #19098664C22semidirect
162. #19098664C22semidirect
163. #19098663C22semidirect
164. #19098663C22semidirect
165. #19098660C22semidirect
166. #19098660C22semidirect
167. #19098660C22semidirect
168. C4×Dic316C22semidirect
169. #19098655C22semidirect
171. #19098637C22semidirect
173. #19098634C22semidirect
176. #19098622C22semidirect
177. #19098621C22semidirect
179. #19098589C22semidirect
180. #19098588C22semidirect
182. #19098564C22semidirect
183. #19098561C22semidirect
185. C2×#14579086C22semidirect
186. #103×D79C22semidirect
891. #3280D79semidirect
909. C79#62017semidirect

Maximal subgroups

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

subgroupindex
#237779592
#237774362
#237764822
#237764782
#237761162
#237761132
#237754852
#237754812
#237753972
#237753842
#237752772
#237752712
#237750852
#237749552
#237749532
#237749142
#237749062
#237748582
#237748552
#237747412
#237745052
#237745022
#237744002
#237736582
#237736552
#237734942
#237729512
#237729482
C2×#190987762
#237725332
C79×#32802
#6201779