Finite Group Databasebeta

← #35181863

Subgroups — #35181863

Order 20224.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777917C211yesmaximal, characteristic
2#23777487C211yesmaximal, characteristic, complemented
3#23776457C211yesmaximal, characteristic, complemented
4#23776450C211yesmaximal, characteristic, complemented
5#23776172C211yesmaximal, characteristic, complemented
6#23776169C211yesmaximal, characteristic, complemented
7#23775440C211yesmaximal, characteristic, complemented
8#23775431C211yesmaximal, characteristic, complemented
9#23775427C211yesmaximal, characteristic, complemented
10#23775423C211yesmaximal, characteristic, complemented
11#23775291C211yesmaximal, characteristic, complemented
12#23775287C211yesmaximal, characteristic, complemented
13D4×#11929611C211yesmaximal, characteristic, complemented
14#23775089C211yesmaximal, characteristic, complemented
15#23774970C211yesmaximal, characteristic, complemented
16#23774904C211yesmaximal, characteristic, complemented
17#23774903C211yesmaximal, characteristic, complemented
18#23774824C211yesmaximal, characteristic, complemented
19#23774821C211yesmaximal, characteristic, complemented
20#23774711C211yesmaximal, characteristic, complemented
21#23774470C211yesmaximal, characteristic, complemented
22#23774467C211yesmaximal, characteristic, complemented
23#23774402C211yesmaximal, characteristic, complemented
24#23773633C211yesmaximal, characteristic, complemented
25#23773630C211yesmaximal, characteristic, complemented
26#23773517C211yesmaximal, characteristic, complemented
27#23772923C211yesmaximal, characteristic, complemented
28#23772919C211yesmaximal, characteristic, complemented
29C2×#19098787C211yesmaximal, characteristic, complemented
30#23772540C211yesmaximal, characteristic, complemented
31C79×#3270C211yesmaximal, characteristic, complemented
32C2×#14579193C2211yescharacteristic, complemented
33C22×#11929611C2211yescharacteristic
34C22×#11929611C2211yescharacteristic, complemented
35C2×SD16×D79C2211yescharacteristic, complemented
36#19099309—21no—
37#19099305—21no—
38#19099298C2211yescharacteristic
39#19099295C2211yescharacteristic
40#19099289C2211yescharacteristic, complemented
41#19099288—21no—
42#19099288C2211yescharacteristic, complemented
43#19099284—21no—
44#19099284C2211yescharacteristic, complemented
45#19099255—21no—
46#19099255C2211yescharacteristic, complemented
47#19099253—21no—
48#19099253C2211yescharacteristic, complemented
49Q8×C22⋊D79C2211yescharacteristic, complemented
50Q8×C22⋊D79C2211yescharacteristic, complemented
51#19099224C2211yescharacteristic
52#19099208—21no—
53#19099204C2211yescharacteristic
54#19099202—21no—
55#19099201C2211yescharacteristic
56D4×D316C2211yescharacteristic
57#19099197C2211yescharacteristic
58#19099186C2211yescharacteristic
59#19099185C2211yescharacteristic
60#19099174—21no—
61#19099174C2211yescharacteristic, complemented
62#19099173—21no—
63#19099173C2211yescharacteristic, complemented
64#19099153—21no—
65#19099147—21no—
66#19099146—21no—
67#19099131C2211yescharacteristic
68#19099127C2211yescharacteristic
69#19099121—21no—
70#19099115—21no—
71#19099115C2211yescharacteristic, complemented
72#19099108C2211yescharacteristic
73#19099093—21no—
74#19099093C2211yescharacteristic
75C2×#14579150C2211yescharacteristic
76#19099041C2211yescharacteristic, complemented
77#19099039C2211yescharacteristic, complemented
78C2×Q8×Dic79C2211yescharacteristic, complemented
79#19098956C2211yescharacteristic, complemented
80#19098956C2211yescharacteristic, complemented
81#19098956C2211yescharacteristic, complemented
82#19098937C2211yescharacteristic
83#19098934C2211yescharacteristic
84#19098928C2211yescharacteristic
85#19098926C2211yescharacteristic
86#19098924C2211yescharacteristic, complemented
87#19098924C2211yescharacteristic, complemented
88#19098919C2211yescharacteristic, complemented
89#19098917C2211yescharacteristic, complemented
90#19098903C2211yescharacteristic, complemented
91#19098901C2211yescharacteristic, complemented
92#19098889C2211yescharacteristic
93#19098888C2211yescharacteristic
94#19098877C2211yescharacteristic, complemented
95#19098874C2211yescharacteristic, complemented
96#19098872C2211yescharacteristic, complemented
97#19098870C2211yescharacteristic, complemented
98#19098864C2211yescharacteristic, complemented
99#19098862C2211yescharacteristic, complemented
100#19098856C2211yescharacteristic, complemented
101#19098856C2211yescharacteristic, complemented
102#19098852C2211yescharacteristic, complemented
103#19098851C2211yescharacteristic, complemented
104#19098847C2211yescharacteristic, complemented
105#19098846C2211yescharacteristic, complemented
106#19098818C2211yescharacteristic, complemented
107#19098812C2211yescharacteristic
108#19098809C2211yescharacteristic
109#19098802C2211yescharacteristic, complemented
110#19098801C2211yescharacteristic, complemented
111#19098795C2211yescharacteristic
112#19098794C2211yescharacteristic
113#19098794C2211yescharacteristic, complemented
114#19098792C2211yescharacteristic, complemented
115#19098790C2211yescharacteristic, complemented
116#19098788C2211yescharacteristic, complemented
117#19098788C2211yescharacteristic, complemented
118#19098787C2211yescharacteristic, complemented
119#19098787C2211yescharacteristic, complemented
120#19098787C2211yescharacteristic, complemented
121#19098787C2211yescharacteristic, complemented
122#19098787C2211yescharacteristic, complemented
123#19098787C2211yescharacteristic, complemented
124#19098787C2211yescharacteristic, complemented
125#19098787C2211yescharacteristic, complemented
126#19098787C2211yescharacteristic, complemented
127#19098787C2211yescharacteristic, complemented
128#19098787C2211yescharacteristic, complemented
129#19098787C2211yescharacteristic, complemented
130#19098782C2211yescharacteristic, complemented
131#19098771C2211yescharacteristic, complemented
132#19098767C2211yescharacteristic, complemented
133#19098767C2211yescharacteristic, complemented
134#19098766C2211yescharacteristic, complemented
135#19098765C2211yescharacteristic, complemented
136#19098764C2211yescharacteristic
137#19098763C2211yescharacteristic
138#19098762C2211yescharacteristic, complemented
139#19098761C2211yescharacteristic
140#19098761C2211yescharacteristic
141#19098761C2211yescharacteristic, complemented
142#19098761C2211yescharacteristic, complemented
143#19098761C2211yescharacteristic, complemented
144#19098725C2211yescharacteristic, complemented
145#19098724C2211yescharacteristic, complemented
146#19098724C2211yescharacteristic, complemented
147#19098719C2211yescharacteristic, complemented
148#19098717C2211yescharacteristic, complemented
149#19098716C2211yescharacteristic
150#19098716C2211yescharacteristic, complemented
151#19098713C2211yescharacteristic
152#19098713C2211yescharacteristic, complemented
153#19098712C2211yescharacteristic, complemented
154#19098712C2211yescharacteristic, complemented
155#19098703C2211yescharacteristic
156#19098702C2211yescharacteristic
157#19098702C2211yescharacteristic, complemented
158#19098691C2211yescharacteristic, complemented
159#19098690C2211yescharacteristic, complemented
160#19098670C2211yescharacteristic, complemented
161#19098666C2211yescharacteristic, complemented
162#19098666C2211yescharacteristic, complemented
163#19098666C2211yescharacteristic, complemented
164#19098665C2211yescharacteristic, complemented
165#19098664C2211yescharacteristic, complemented
166#19098664C2211yescharacteristic, complemented
167Q16×Dic79C2211yescharacteristic, complemented
168C4×#11929614C2211yescharacteristic, complemented
169C4×#11929611C2211yescharacteristic, complemented
170#19098648C2211yescharacteristic, complemented
171#19098634C2211yescharacteristic, complemented
172#19098632C2211yescharacteristic, complemented
173#19098631C2211yescharacteristic, complemented
174D4×C79⋊C8C2211yescharacteristic, complemented
175(C22⋊D79)⋊C8C2211yescharacteristic, complemented
176#19098625C2211yescharacteristic, complemented
177#19098621C2211yescharacteristic, complemented
178#19098617C2211yescharacteristic, complemented
179#19098591C2211yescharacteristic, complemented
180#19098588C2211yescharacteristic, complemented
181C2×Dic79⋊C8C2211yescharacteristic, complemented
182#19098569C2211yescharacteristic, complemented
183#19098566C2211yescharacteristic, complemented
184#19098559C2211yescharacteristic, complemented
185#19098558C2211yescharacteristic, complemented
186C2×#14579085C2211yescharacteristic, complemented
187C2×#14579083C2211yescharacteristic
188C2×#137×C79C2211yescharacteristic, complemented
189C22×Q16×C79C2211yescharacteristic, complemented
190D4×Q8×C79C2211yescharacteristic, complemented
191#548×C79C2211yescharacteristic
192#497×C79C2211yescharacteristic, complemented
193#470×C79C2211yescharacteristic, complemented
194#465×C79C2211yescharacteristic, complemented
195#464×C79C2211yescharacteristic, complemented
196#462×C79C2211yescharacteristic, complemented
197#452×C79C2211yescharacteristic, complemented
198#451×C79C2211yescharacteristic, complemented
199#451×C79C2211yescharacteristic, complemented
200#448×C79C2211yescharacteristic, complemented
201#441×C79C2211yescharacteristic, complemented
202#435×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929623—21no—
205C2×Q8×D79C2311yescharacteristic
206C22×D316C2311yescharacteristic
207C22×D316C2311yescharacteristic
208C2×D4×D79—21no—
209C2×D4×D79—21no—
210C2×D4×D79C2311yescharacteristic
211#14579193—42no—
212C2×#11929614C2311yescharacteristic
213C2×#11929614C2311yescharacteristic
214C2×#11929613C2311yescharacteristic
215C2×#11929613C2311yescharacteristic
216C2×#11929613C2311yescharacteristic
217C2×#11929612C2311yescharacteristic
218C2×#11929611—42no—
219C2×#11929611—42no—
220C2×#11929611C2311yescharacteristic
221C2×#11929611C2311yescharacteristic
222C2×#11929611C2311yescharacteristic
223C2×#11929611C2311yescharacteristic
224C2×#11929611C2311yescharacteristic
225C2×#11929611C2311yescharacteristic
226C2×#11929611C2311yescharacteristic
227C2×#11929611C2311yescharacteristic
228C2×#11929611C2311yescharacteristic
229SD16×D79—42no—
230C2×#11929607C2311yescharacteristic
231C22×C79⋊C8C2311yescharacteristic
232C22×C79⋊C8C2311yescharacteristic
233C2×C8×D79C2311yescharacteristic
234#14579160—21no—
235#14579160C2311yescharacteristic
236#14579160C2311yescharacteristic
237#14579159—21no—
238#14579159—21no—
239#14579159C2311yescharacteristic
240#14579159C2311yescharacteristic
241#14579158C2311yescharacteristic
242#14579157C2311yescharacteristic
243#14579157C2311yescharacteristic
244#14579156—21no—
245#14579156—21no—
246#14579156—21no—
247#14579156—21no—
248#14579156—21no—
249#14579156D411yescharacteristic
250#14579155—21no—
251#14579154—21no—
252#14579154—21no—
253#14579154—21no—
254#14579154—21no—
255#14579154D411yescharacteristic
256#14579153—21no—
257#14579153C2311yescharacteristic
258#14579152—21no—
259#14579152—21no—
260#14579152—21no—
261#14579152—21no—
262#14579152C2311yescharacteristic
263#14579151—21no—
264#14579151—21no—
265#14579151—21no—
266#14579151—21no—
267#14579151—21no—
268#14579151—21no—
269#14579151—21no—
270#14579151D411yescharacteristic
271#14579150—21no—
272#14579150—21no—
273#14579150—21no—
274#14579150C2311yescharacteristic
275#14579150C2311yescharacteristic
276#14579150C2311yescharacteristic
277#14579150C2311yescharacteristic
278#14579150C2311yescharacteristic
279#14579149—21no—
280#14579149—21no—
281#14579147—21no—
282#14579147—21no—
283#14579147—21no—
284#14579147—21no—
285#14579147D411yescharacteristic
286#14579146—21no—
287#14579146—21no—
288#14579146—21no—
289#14579146—21no—
290#14579145—21no—
291#14579145—21no—
292#14579145D411yescharacteristic
293#14579144—21no—
294#14579143—21no—
295#14579143—21no—
296#14579142—21no—
297#14579142D411yescharacteristic
298#14579141—21no—
299#14579140—21no—
300#14579140—21no—
301#14579140C2311yescharacteristic
302#14579140C2311yescharacteristic
303#14579139—21no—
304#14579138—21no—
305#14579138D411yescharacteristic
306#14579137—21no—
307#14579137—21no—
308#14579137—21no—
309#14579137C2311yescharacteristic
310#14579137C2311yescharacteristic
311#14579137C2311yescharacteristic
312#14579136—21no—
313#14579136—21no—
314#14579136C2311yescharacteristic
315#14579135—21no—
316#14579135—21no—
317#14579135—21no—
318#14579135C2311yescharacteristic
319#14579135C2311yescharacteristic
320#14579134—21no—
321#14579134—21no—
322#14579134—21no—
323#14579133—21no—
324#14579133—21no—
325#14579133D411yescharacteristic
326#14579131—21no—
327#14579131—21no—
328#14579131—21no—
329#14579131—21no—
330#14579131—21no—
331#14579131—21no—
332#14579129—21no—
333#14579129—21no—
334#14579129—21no—
335#14579129—21no—
336Q8×Dic79—21no—
337Q8×Dic79—21no—
338Q8×Dic79—21no—
339Q8×Dic79—21no—
340Q8×Dic79C2311yescharacteristic
341Q8×Dic79C2311yescharacteristic
342Q8×Dic79C2311yescharacteristic
343Q8×Dic79C2311yescharacteristic
344Q8×Dic79C2311yescharacteristic
345Q8×Dic79C2311yescharacteristic
346Q8×Dic79C2311yescharacteristic
347Q8×Dic79C2311yescharacteristic
348C4×Dic158—21no—
349C4×Dic158—21no—
350C4×Dic158C2311yescharacteristic
351C4×Dic158C2311yescharacteristic
352#14579126—21no—
353#14579126—21no—
354#14579126—21no—
355#14579126—21no—
356#14579126C2311yescharacteristic
357C4×D316—21no—
358C4×D316C2311yescharacteristic
359D4×Dic79C2311yescharacteristic
360#14579123C2311yescharacteristic
361#14579123C2311yescharacteristic
362C4×C22⋊D79—21no—
363C4×C22⋊D79—21no—
364C4×C22⋊D79—21no—
365C4×C22⋊D79C2311yescharacteristic
366C4×C22⋊D79C2311yescharacteristic
367(C22⋊D79)⋊C4—21no—
368(C22⋊D79)⋊C4—21no—
369#14579120—21no—
370#14579120—21no—
371#14579120C2311yescharacteristic
372#14579120C2311yescharacteristic
373#14579119—21no—
374#14579119C2311yescharacteristic
375#14579118—21no—
376#14579118C2311yescharacteristic
377#14579117—21no—
378#14579117—21no—
379#14579117—21no—
380C2×C4⋊Dic79—21no—
381C2×C4⋊Dic79C2311yescharacteristic
382C2×(C2×D79)⋊C4—21no—
383C2×(C2×D79)⋊C4—21no—
384C2×(C2×D79)⋊C4—21no—
385C22⋊C4×D79—21no—
386C2×C4×Dic79—21no—
387C2×C4×Dic79C2311yescharacteristic
388#14579095C2311yescharacteristic
389#14579095C2311yescharacteristic
390#14579094C2311yescharacteristic
391#14579094C2311yescharacteristic
392#14579093C2311yescharacteristic
393#14579092C2311yescharacteristic
394#14579092C2311yescharacteristic
395C4⋊(C79⋊C8)C2311yescharacteristic
396Dic79⋊C8C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404#14579086C2311yescharacteristic
405#14579085C2311yescharacteristic
406#14579085C2311yescharacteristic
407#14579085C2311yescharacteristic
408#14579085C2311yescharacteristic
409#14579085C2311yescharacteristic
410#14579085C2311yescharacteristic
411#14579085C2311yescharacteristic
412#14579085C2311yescharacteristic
413#14579085C2311yescharacteristic
414#14579084C2311yescharacteristic
415#14579083C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579083C2311yescharacteristic
421#14579083C2311yescharacteristic
422#14579083C2311yescharacteristic
423#14579083C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579081C2311yescharacteristic
428#14579081C2311yescharacteristic
429#14579081C2311yescharacteristic
430C22⋊(C79⋊C8)C2311yescharacteristic
431C22⋊(C79⋊C8)C2311yescharacteristic
432(C2×D79)⋊C8C2311yescharacteristic
433(C2×D79)⋊C8C2311yescharacteristic
434#14579071C2311yescharacteristic
435#14579071C2311yescharacteristic
436#14579071C2311yescharacteristic
437C4×C79⋊C8C2311yescharacteristic
438C8×Dic79C2311yescharacteristic
439C2×#41×C79C2311yescharacteristic
440C22×Q8×C79C2311yescharacteristic
441C22×Q8×C79C2311yescharacteristic
442C22×Q8×C79C2311yescharacteristic
443#137×C79—42no—
444C2×Q16×C79—42no—
445C2×Q16×C79C2311yescharacteristic
446C2×Q16×C79C2311yescharacteristic
447C2×Q16×C79C2311yescharacteristic
448C2×Q16×C79C2311yescharacteristic
449C2×Q16×C79C2311yescharacteristic
450C2×Q16×C79C2311yescharacteristic
451C2×SD16×C79C2311yescharacteristic
452C2×SD16×C79C2311yescharacteristic
453C2×SD16×C79C2311yescharacteristic
454C2×M16×C79C2311yescharacteristic
455C22×C8×C79C2311yescharacteristic
456C4⋊Q8×C79—21no—
457C4⋊Q8×C79C2311yescharacteristic
458#124×C79—21no—
459#124×C79C2311yescharacteristic
460C22⋊Q8×C79—21no—
461C22⋊Q8×C79—21no—
462C22⋊Q8×C79—21no—
463C22⋊Q8×C79C2311yescharacteristic
464C22⋊Q8×C79C2311yescharacteristic
465C22⋊Q8×C79C2311yescharacteristic
466#121×C79—21no—
467#121×C79C2311yescharacteristic
468C4×Q8×C79C2311yescharacteristic
469C4×Q8×C79C2311yescharacteristic
470C4×D4×C79—21no—
471C4×D4×C79—21no—
472C4×D4×C79C2311yescharacteristic
473#106×C79C2311yescharacteristic
474C4⋊C8×C79C2311yescharacteristic
475#103×C79C2311yescharacteristic
476#103×C79C2311yescharacteristic
477#103×C79C2311yescharacteristic
478#103×C79C2311yescharacteristic
479#103×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481C22⋊C8×C79C2311yescharacteristic
482C22⋊C8×C79C2311yescharacteristic
483#97×C79C2311yescharacteristic
484C23×D79—21no—
485C23×D79—21no—
486C23×D79—21no—
487#11929625—41no—
488#11929625—41no—
489#11929623—82no—
490C2×Dic158—21no—
491C2×Dic158—21no—
492C2×Dic158—21no—
493C2×Dic158C2×D411yescharacteristic
494C2×Dic158C2411yescharacteristic
495Q8×D79—22no—
496Q8×D79—41no—
497C2×D316—21no—
498C2×D316—21no—
499C2×D316—21no—
500C2×D316—21no—
501C2×D316—21no—
502C2×D316—21no—
503C2×D316—41no—
504C2×D316—41no—
505C2×D316—41no—
506C2×D316—41no—
507C2×D316C2411yescharacteristic
508C2×D316C2411yescharacteristic
509C2×D316C2411yescharacteristic
510C2×C22⋊D79—21no—
511C2×C22⋊D79—21no—
512C2×C22⋊D79—21no—
513C2×C22⋊D79—21no—
514C2×C22⋊D79—21no—
515C2×C22⋊D79—21no—
516C2×C22⋊D79—21no—
517C2×C22⋊D79C2×D411yescharacteristic
518C2×C22⋊D79C2×D411yescharacteristic
519D4×D79—41no—
520D4×D79—41no—
521D4×D79—82no—
522D4×D79—82no—
523C22×Dic79—21no—
524C22×Dic79—21no—
525C22×Dic79C2×D411yescharacteristic
526C22×Dic79C2×D411yescharacteristic
527C2×C4×D79—21no—
528C2×C4×D79—21no—
529C2×C4×D79—21no—
530C2×C4×D79—21no—
531C2×C4×D79—21no—
532C2×C4×D79C2411yescharacteristic
533#11929614—41no—
534#11929614—41no—
535#11929613—41no—
536#11929613—41no—
537#11929613—41no—
538#11929612—41no—
539#11929611—22no—
540#11929611—22no—
541#11929611—22no—
542#11929611—41no—
543#11929611—41no—
544#11929611—41no—
545#11929611—41no—
546#11929611—41no—
547#11929611—41no—
548#11929607—41no—
549C2×C79⋊C8—41no—
550C2×C79⋊C8—41no—
551C2×C79⋊C8C2411yescharacteristic
552C2×C79⋊C8C2411yescharacteristic
553C2×C79⋊C8C2411yescharacteristic
554C2×C79⋊C8C2411yescharacteristic
555C8×D79—41no—
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⋊Dic79—21no—
565C4⋊Dic79—21no—
566C4⋊Dic79C2×D411yescharacteristic
567C4⋊Dic79C2×D411yescharacteristic
568C4⋊Dic79C2×D411yescharacteristic
569C4⋊Dic79C2411yescharacteristic
570C4⋊Dic79C2411yescharacteristic
571C4⋊Dic79C2411yescharacteristic
572C4⋊Dic79C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
590Dic79⋊C4C2×D411yescharacteristic
591Dic79⋊C4C2×D411yescharacteristic
592Dic79⋊C4C2×D411yescharacteristic
593Dic79⋊C4C2×D411yescharacteristic
594Dic79⋊C4C2×D411yescharacteristic
595C22⋊Dic79—21no—
596C22⋊Dic79—21no—
597C22⋊Dic79—21no—
598C22⋊Dic79—21no—
599C22⋊Dic79C2×D411yescharacteristic
600C22⋊Dic79C2×D411yescharacteristic
601C22⋊Dic79C2×D411yescharacteristic
602C22⋊Dic79C2×D411yescharacteristic
603(C2×D79)⋊C4—21no—
604(C2×D79)⋊C4—21no—
605(C2×D79)⋊C4—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)⋊C4—21no—
617(C2×D79)⋊C4—21no—
618(C2×D79)⋊C4—21no—
619(C2×D79)⋊C4—21no—
620(C2×D79)⋊C4—21no—
621(C2×D79)⋊C4—21no—
622(C2×D79)⋊C4—21no—
623(C2×D79)⋊C4C2×D411yescharacteristic
624(C2×D79)⋊C4C2×D411yescharacteristic
625(C2×D79)⋊C4C2×D411yescharacteristic
626(C2×D79)⋊C4C2×D411yescharacteristic
627C4×Dic79—21no—
628C4×Dic79—21no—
629C4×Dic79—21no—
630C4×Dic79—21no—
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
644#41×C79—41no—
645#41×C79—41no—
646C2×Q8×C79—21no—
647C2×Q8×C79—21no—
648C2×Q8×C79—21no—
649C2×Q8×C79—22no—
650C2×Q8×C79—22no—
651C2×Q8×C79—41no—
652C2×Q8×C79—41no—
653C2×Q8×C79—41no—
654C2×Q8×C79—41no—
655C2×Q8×C79C2411yescharacteristic
656C2×Q8×C79C2411yescharacteristic
657C2×Q8×C79C2411yescharacteristic
658C2×Q8×C79C2411yescharacteristic
659C2×Q8×C79C2411yescharacteristic
660C2×D4×C79—21no—
661C2×D4×C79—21no—
662C2×D4×C79C2×D411yescharacteristic
663C2×D4×C79C2411yescharacteristic
664C22×C4×C79—21no—
665C22×C4×C79—21no—
666C22×C4×C79—21no—
667C22×C4×C79—21no—
668C22×C4×C79C2411yescharacteristic
669C22×C4×C79C2411yescharacteristic
670Q16×C79—22no—
671Q16×C79—22no—
672Q16×C79—41no—
673Q16×C79—41no—
674Q16×C79—41no—
675Q16×C79—41no—
676SD16×C79—22no—
677SD16×C79—41no—
678SD16×C79—41no—
679M16×C79—41no—
680C2×C8×C79—41no—
681C2×C8×C79C2411yescharacteristic
682C2×C8×C79C2411yescharacteristic
683C2×C8×C79C2411yescharacteristic
684C2×C8×C79C2411yescharacteristic
685C4⋊C4×C79—21no—
686C4⋊C4×C79—21no—
687C4⋊C4×C79—21no—
688C4⋊C4×C79—21no—
689C4⋊C4×C79—21no—
690C4⋊C4×C79—21no—
691C4⋊C4×C79—21no—
692C4⋊C4×C79C2×D411yescharacteristic
693C4⋊C4×C79C2411yescharacteristic
694C4⋊C4×C79C2411yescharacteristic
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×C79C2×D411yescharacteristic
702C22⋊C4×C79C2×D411yescharacteristic
703C42×C79—21no—
704C42×C79—21no—
705C42×C79C2411yescharacteristic
706C23×C79—21no—
707C23×C79C22×D411yescharacteristic
708C23×C79C22×D411yescharacteristic
709C22×D79—21no—
710C22×D79—21no—
711C22×D79—21no—
712C22×D79—42no—
713C22×D79—81no—
714C22×D79—81no—
715C22×D79—81no—
716C22×D79—81no—
717C22×D79—81no—
718C22×D79—81no—
719C22×D79—81no—
720C22×D79—81no—
721C22×D79C22×D411yescharacteristic
722Q8×C79—21no—
723Q8×C79—21no—
724Q8×C79—21no—
725Q8×C79—21no—
726Q8×C79—21no—
727Q8×C79—21no—
728Q8×C79—21no—
729Q8×C79—21no—
730Q8×C79—21no—
731Q8×C79—42no—
732Q8×C79—42no—
733Q8×C79—81no—
734Q8×C79H(5,𝔽2)12yes—
735D4×C79—22no—
736D4×C79—21no—
737D4×C79—21no—
738D4×C79—42no—
739D4×C79—81no—
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—21no—
747C2×C4×C79—21no—
748C2×C4×C79—21no—
749C2×C4×C79—21no—
750C2×C4×C79—21no—
751C2×C4×C79—42no—
752C2×C4×C79—42no—
753C2×C4×C79—81no—
754C2×C4×C79—81no—
755C2×C4×C79C22×D411yescharacteristic
756C2×C4×C79C22×D411yescharacteristic
757C2×C4×C79C22×D411yescharacteristic
758C2×C4×C79C22×D411yescharacteristic
759C2×C4×C79C2511yescharacteristic
760C22⋊D79—22no—
761C22⋊D79—41no—
762C22⋊D79—42no—
763C22⋊D79—81no—
764C22⋊D79—81no—
765C22⋊D79—81no—
766C22⋊D79—81no—
767C22⋊D79—81no—
768C22⋊D79—81no—
769C2×Dic79—22no—
770C2×Dic79—21no—
771C2×Dic79—21no—
772C2×Dic79—21no—
773C2×Dic79—21no—
774C2×Dic79—21no—
775C2×Dic79—41no—
776C2×Dic79—42no—
777C2×Dic79—81no—
778C2×Dic79C22×D411yescharacteristic
779C2×Dic79C22×D411yescharacteristic
780C2×Dic79C22×D411yescharacteristic
781C2×Dic79C22×D411yescharacteristic
782C2×Dic79C22×D411yescharacteristic
783C2×Dic79C22×D411yescharacteristic
784C2×Dic79C22×D411yescharacteristic
785D316—21no—
786D316—21no—
787D316—21no—
788D316—21no—
789D316—21no—
790D316—21no—
791D316—81no—
792D316—81no—
793D316—81no—
794D316—81no—
795D316—81no—
796D316—81no—
797C4×D79—21no—
798C4×D79—21no—
799C4×D79—42no—
800C4×D79—81no—
801C4×D79—81no—
802C4×D79—81no—
803C4×D79—81no—
804Dic158—21no—
805Dic158—21no—
806Dic158—41no—
807Dic158—42no—
808Dic158—42no—
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—21no—
822C22×C79—21no—
823C22×C79—41no—
824C22×C79—41no—
825C22×C79—41no—
826C22×C79#57712yes—
827C22×C79C23×D411yescharacteristic
828C2×D79—21no—
829C2×D79—21no—
830C2×D79—21no—
831C2×D79—41no—
832C2×D79—41no—
833C2×D79—41no—
834C2×D79—41no—
835C2×D79—41no—
836C2×D79—41no—
837C2×D79—41no—
838C2×D79—41no—
839C2×D79—41no—
840C2×D79—162no—
841C2×D79—162no—
842C2×D79—162no—
843C4×C79—21no—
844C4×C79—21no—
845C4×C79—21no—
846C4×C79—22no—
847C4×C79—21no—
848C4×C79—41no—
849C4×C79—41no—
850C4×C79—41no—
851C4×C79—41no—
852C4×C79—41no—
853C4×C79—41no—
854C4×C79C2×H(5,𝔽2)11yescharacteristic
855C4×C79#58511yescharacteristic
856Dic79—21no—
857Dic79—21no—
858Dic79—21no—
859Dic79—21no—
860Dic79—21no—
861Dic79—21no—
862Dic79—21no—
863Dic79—41no—
864Dic79—41no—
865Dic79—41no—
866Dic79—41no—
867Dic79—41no—
868#62019—791nomaximal, Sylow
869C2×C79—22no—
870C2×C79—41no—
871C2×C79—81no—
872C2×C79#348811yescharacteristic
873C2×C79C2×#57711yescharacteristic
874C2×C79#358611yescharacteristic
875D79—41no—
876D79—81no—
877D79—81no—
878D79—81no—
879#3558—791no—
880#3523—791no—
881#3400—791no—
882#3400—791no—
883#3371—791no—
884#3371—791no—
885#3311—791no—
886#3311—791no—
887#3310—791no—
888#3310—791no—
889#3300—791no—
890#3300—791no—
891D4×SD16—791no—
892D4×SD16—791no—
893#3270—791no—
894#3270D7911yescharacteristic, complemented
895#3266—791no—
896#3266—791no—
897#3258—791no—
898#3258—791no—
899#3246—791no—
900#3222—791no—
901#3222—791no—
902#3215—791no—
903#3121—791no—
904#3121—791no—
905#3112—791no—
906#3043—791no—
907#3043—791no—
908C2×#464—791no—
909#2992—791no—
910C79#6201911yescharacteristic, complemented, Sylow
911C2×#137—791no—
912C2×#137C2×D7911yescharacteristic, complemented
913C22×Q16C2×D7911yescharacteristic, complemented
914C22×SD16—791no—
915C22×SD16—791no—
916C22×SD16—791no—
917#562—1581no—
918H(3,𝔽4)—1581no—
919#559—791no—
920#559—791no—
921#557—791no—
922#557—791no—
923#557—1581no—
924#556—791no—
925#556—1581no—
926#552—791no—
927#552—791no—
928#552—1581no—
929#552—1581no—
930D4×Q8—791no—
931D4×Q8—791no—
932D4×Q8C2×D7911yescharacteristic, complemented
933#548—791no—
934#548C2×D7911yescharacteristic
935#546—791no—
936#546—791no—
937#546—1581no—
938#546—1581no—
939D42—791no—
940D42—791no—
941#542—791no—
942#542—791no—
943#541—791no—
944#541—791no—
945#541—1581no—
946#541—1581no—
947#538—1581no—
948#538—1581no—
949#538—1581no—
950#535—791no—
951#535—791no—
952#534—1581no—
953#533—791no—
954#533—1581no—
955#532—791no—
956#529—791no—
957#529—1581no—
958C2×#124—791no—
959#519—791no—
960#519—791no—
961C2×C4×Q8—791no—
962#497—791no—
963#497—791no—
964#497—791no—
965#497C2×D7911yescharacteristic, complemented
966#492—791no—
967#492—791no—
968#490—791no—
969#490—791no—
970#489—791no—
971#489—791no—
972#488—791no—
973#488—791no—
974#485—791no—
975#485—791no—
976#482—791no—
977#482—791no—
978#480—791no—
979#480—791no—
980#479—791no—
981#479—791no—
982#478—791no—
983#478—791no—
984#477—791no—
985#477—791no—
986#476—791no—
987#476—791no—
988#475—791no—
989#475—791no—
990#470—791no—
991#470C2×D7911yescharacteristic, complemented
992#468—791no—
993#468—791no—
994#467—791no—
995#467—791no—
996#465—791no—
997#465—791no—
998#465—791no—
999#465—791no—
1000#465—791no—
1001#465C2×D7911yescharacteristic, complemented
1002#464—791no—
1003#464—791no—
1004#464—791no—
1005#464—791no—
1006#464—791no—
1007#464—791no—
1008#464—791no—
1009#464—791no—
1010#464—791no—
1011#464—791no—
1012#464—791no—
1013#464—791no—
1014#464—791no—
1015#464—791no—
1016#464—791no—
1017#464C2×D7911yescharacteristic, complemented
1018#462—791no—
1019#462C2×D7911yescharacteristic, complemented
1020#461—791no—
1021#461—791no—
1022#461—791no—
1023#461—791no—
1024#460—791no—
1025#460—791no—
1026#460—791no—
1027#460—791no—
1028#460—791no—
1029#460—791no—
1030#460—791no—
1031#460—791no—
1032#452—791no—
1033#452—791no—
1034#452—791no—
1035#452C2×D7911yescharacteristic, complemented
1036#451—791no—
1037#451—791no—
1038#451C2×D7911yescharacteristic, complemented
1039#451C2×D7911yescharacteristic, complemented
1040#450—791no—
1041#450—791no—
1042#450—791no—
1043#450—791no—
1044#450—791no—
1045#450—791no—
1046#448—791no—
1047#448—791no—
1048#448—791no—
1049#448C2×D7911yescharacteristic, complemented
1050#446—791no—
1051#446—791no—
1052#441—791no—
1053#441C2×D7911yescharacteristic, complemented
1054#440—791no—
1055#440—791no—
1056#440—791no—
1057#440—791no—
1058#440—791no—
1059#440—791no—
1060C4×Q16—791no—
1061C4×Q16—791no—
1062C4×SD16—791no—
1063C4×SD16—791no—
1064#435—791no—
1065#435—791no—
1066#435—791no—
1067#435C2×D7911yescharacteristic, complemented
1068C8×D4—791no—
1069C8×D4—791no—
1070#433—791no—
1071#433—791no—
1072#432—791no—
1073#424—791no—
1074#424—791no—
1075C2×C4⋊C8—791no—
1076#418—791no—
1077#418—791no—
1078#416—791no—
1079#416—791no—
1080C2×#103—791no—
1081C2×#102—791no—
1082C2×#41—791no—
1083C2×#41—1581no—
1084C2×#41C22×D7911yescharacteristic
1085C22×Q8—791no—
1086C22×Q8C22×D7911yescharacteristic
1087C22×Q8C22×D7911yescharacteristic
1088C22×Q8C22×D7911yescharacteristic
1089C22×D4—791no—
1090C22×D4—791no—
1091C22×D4—791no—
1092C22×D4—1581no—
1093C22×D4—1581no—
1094#137—42no—
1095#137—3162no—
1096C2×Q16—42no—
1097C2×Q16—791no—
1098C2×Q16—791no—
1099C2×Q16C22×D7911yescharacteristic
1100C2×Q16C22×D7911yescharacteristic
1101C2×Q16C22×D7911yescharacteristic
1102C2×Q16C22×D7911yescharacteristic
1103C2×Q16C22×D7911yescharacteristic
1104C2×Q16C22×D7911yescharacteristic
1105C2×SD16—3162no—
1106C2×SD16—3162no—
1107C2×SD16—3162no—
1108C2×SD16—791no—
1109C2×SD16—791no—
1110C2×SD16—791no—
1111C2×SD16—791no—
1112C2×SD16—791no—
1113C2×SD16—791no—
1114C2×SD16—791no—
1115C2×SD16—791no—
1116C2×SD16—791no—
1117C2×SD16—791no—
1118C2×SD16—791no—
1119C2×SD16—791no—
1120C2×SD16—791no—
1121C2×SD16C22×D7911yescharacteristic
1122C2×SD16C22×D7911yescharacteristic
1123C2×SD16C22×D7911yescharacteristic
1124C2×M16—791no—
1125C2×M16C22×D7911yescharacteristic
1126C22×C8—791no—
1127C22×C8—791no—
1128C22×C8—791no—
1129C22×C8C22×D7911yescharacteristic
1130C4⋊Q8—21no—
1131C4⋊Q8—791no—
1132C4⋊Q8—791no—
1133C4⋊Q8—791no—
1134C4⋊Q8—791no—
1135C4⋊Q8—1581no—
1136C4⋊Q8—1581no—
1137C4⋊Q8—1581no—
1138C4⋊Q8C22×D7911yescharacteristic
1139#127—791no—
1140#127—791no—
1141#127—791no—
1142#126—791no—
1143#126—791no—
1144#126—1581no—
1145#126—1581no—
1146#126—1581no—
1147#126—1581no—
1148#126—1581no—
1149#126—1581no—
1150#126—1581no—
1151#126—1581no—
1152#126—1581no—
1153#126—1581no—
1154#125—791no—
1155#125—791no—
1156#125—791no—
1157#125—1581no—
1158#125—1581no—
1159#125—1581no—
1160#125—1581no—
1161#125—1581no—
1162#125—1581no—
1163#125—1581no—
1164#125—1581no—
1165#125—1581no—
1166#125—1581no—
1167#125—1581no—
1168#125—1581no—
1169#124—21no—
1170#124—791no—
1171#124—791no—
1172#124—791no—
1173#124—791no—
1174#124—791no—
1175#124—791no—
1176#124—1581no—
1177#124—1581no—
1178#124—1581no—
1179#124—1581no—
1180#124—1581no—
1181#124—1581no—
1182#124—1581no—
1183#124—1581no—
1184#124—1581no—
1185#124C22×D7911yescharacteristic
1186#123—791no—
1187#123—791no—
1188#123—1581no—
1189#123—1581no—
1190#123—1581no—
1191#123—1581no—
1192#123—1581no—
1193#123—1581no—
1194#123—1581no—
1195#123—1581no—
1196#123—1581no—
1197#123—1581no—
1198C22⋊Q8—21no—
1199C22⋊Q8—21no—
1200C22⋊Q8—21no—
1201C22⋊Q8—791no—
1202C22⋊Q8—791no—
1203C22⋊Q8—791no—
1204C22⋊Q8—791no—
1205C22⋊Q8—791no—
1206C22⋊Q8—791no—
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⋊Q8C22×D7911yescharacteristic
1216C22⋊Q8C22×D7911yescharacteristic
1217C22⋊Q8C22×D7911yescharacteristic
1218#121—21no—
1219#121—791no—
1220#121—791no—
1221#121—791no—
1222#121—791no—
1223#121—1581no—
1224#121—1581no—
1225#121—1581no—
1226#121—1581no—
1227#121—1581no—
1228#121—1581no—
1229#121—1581no—
1230#121—1581no—
1231#121—1581no—
1232#121—1581no—
1233#121C22×D7911yescharacteristic
1234#120—1581no—
1235#120—1581no—
1236#120—1581no—
1237#120—1581no—
1238#120—1581no—
1239#120—1581no—
1240#120—1581no—
1241#120—1581no—
1242#120—1581no—
1243#120—1581no—
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—791no—
1253C4×Q8—791no—
1254C4×Q8—791no—
1255C4×Q8—1581no—
1256C4×Q8—1581no—
1257C4×Q8—1581no—
1258C4×Q8—1581no—
1259C4×Q8—1581no—
1260C4×Q8—1581no—
1261C4×Q8—1581no—
1262C4×Q8—1581no—
1263C4×Q8—1581no—
1264C4×Q8—1581no—
1265C4×Q8C22×D7911yescharacteristic
1266C4×Q8C22×D7911yescharacteristic
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—791no—
1270C4×D4—791no—
1271C4×D4—791no—
1272C4×D4—791no—
1273C4×D4—791no—
1274C4×D4—791no—
1275C4×D4—1581no—
1276C4×D4—1581no—
1277C4×D4—1581no—
1278C4×D4—1581no—
1279C4×D4—1581no—
1280C4×D4—1581no—
1281C4×D4C22×D7911yescharacteristic
1282#117—791no—
1283#117—791no—
1284#117—791no—
1285#117—791no—
1286#117—1581no—
1287#117—1581no—
1288#117—1581no—
1289#117—1581no—
1290#117—1581no—
1291#117—1581no—
1292#117—1581no—
1293C2×C4⋊C4—791no—
1294C2×C4⋊C4—1581no—
1295C2×C22⋊C4—1581no—
1296C2×C22⋊C4—1581no—
1297C2×C22⋊C4—1581no—
1298C2×C22⋊C4—1581no—
1299C2×C42—791no—
1300C2×C42—1581no—
1301#107—791no—
1302#107—791no—
1303#107—791no—
1304#107—791no—
1305#106—791no—
1306#106—791no—
1307#106—791no—
1308#106C22×D7911yescharacteristic
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⋊C8—791no—
1318C4⋊C8C22×D7911yescharacteristic
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#103C22×D7911yescharacteristic
1331#103C22×D7911yescharacteristic
1332#103C22×D7911yescharacteristic
1333#103C22×D7911yescharacteristic
1334#103C22×D7911yescharacteristic
1335#102—791no—
1336#102—791no—
1337#102—791no—
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#102—791no—
1347#102—791no—
1348#102—791no—
1349#102—791no—
1350#102C22×D7911yescharacteristic
1351C22⋊C8—791no—
1352C22⋊C8—791no—
1353C22⋊C8—791no—
1354C22⋊C8—791no—
1355C22⋊C8C22×D7911yescharacteristic
1356C22⋊C8C22×D7911yescharacteristic
1357#97—791no—
1358#97—791no—
1359#97—791no—
1360#97C22×D7911yescharacteristic
1361C4×C8—791no—
1362C4×C8—791no—
1363C24—1581no—
1364C24—1581no—
1365C24—1581no—
1366#41—41no—
1367#41—41no—
1368#41—3161no—
1369#41—3161no—
1370#41—6322no—
1371C2×Q8—21no—
1372C2×Q8—21no—
1373C2×Q8—21no—
1374C2×Q8—22no—
1375C2×Q8—22no—
1376C2×Q8—41no—
1377C2×Q8—41no—
1378C2×Q8—41no—
1379C2×Q8—41no—
1380C2×Q8—3161no—
1381C2×Q8—791no—
1382C2×Q8—791no—
1383C2×Q8—1581no—
1384C2×Q8—1581no—
1385C2×Q8—1581no—
1386C2×Q8—1582no—
1387C2×Q8C23×D7911yescharacteristic
1388C2×Q8C23×D7911yescharacteristic
1389C2×Q8C23×D7911yescharacteristic
1390C2×Q8C23×D7911yescharacteristic
1391C2×Q8C23×D7911yescharacteristic
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—3161no—
1395C2×D4—3161no—
1396C2×D4—3161no—
1397C2×D4—3161no—
1398C2×D4—3161no—
1399C2×D4—3161no—
1400C2×D4—791no—
1401C2×D4—791no—
1402C2×D4—791no—
1403C2×D4—791no—
1404C2×D4—791no—
1405C2×D4—6322no—
1406C2×D4—6322no—
1407C2×D4—1581no—
1408C2×D4—1581no—
1409C2×D4—1581no—
1410C2×D4—1581no—
1411C2×D4—1581no—
1412C2×D4—1581no—
1413C2×D4—1581no—
1414C2×D4—1581no—
1415C2×D4—1581no—
1416C2×D4—1581no—
1417C2×D4—1581no—
1418C2×D4—1581no—
1419C2×D4—1581no—
1420C2×D4D4×D7911yescharacteristic
1421C2×D4C23×D7911yescharacteristic
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—791no—
1427C22×C4—791no—
1428C22×C4—791no—
1429C22×C4—1581no—
1430C22×C4—1581no—
1431C22×C4—1581no—
1432C22×C4—1581no—
1433C22×C4—1581no—
1434C22×C4—1581no—
1435C22×C4—1581no—
1436C22×C4C23×D7911yescharacteristic
1437C22×C4C23×D7911yescharacteristic
1438Q16—22no—
1439Q16—22no—
1440Q16—41no—
1441Q16—41no—
1442Q16—41no—
1443Q16—41no—
1444Q16—3161no—
1445Q16—3161no—
1446SD16—22no—
1447SD16—41no—
1448SD16—41no—
1449SD16—3161no—
1450SD16—3161no—
1451SD16—3161no—
1452SD16—3161no—
1453SD16—3161no—
1454SD16—3161no—
1455SD16—3161no—
1456SD16—3161no—
1457SD16—3161no—
1458SD16—3161no—
1459SD16—1582no—
1460SD16—1582no—
1461SD16—1582no—
1462M16—41no—
1463M16—3161no—
1464C2×C8—41no—
1465C2×C8—3161no—
1466C2×C8—3161no—
1467C2×C8—3161no—
1468C2×C8—791no—
1469C2×C8—791no—
1470C2×C8—791no—
1471C2×C8—791no—
1472C2×C8C23×D7911yescharacteristic
1473C2×C8C23×D7911yescharacteristic
1474C2×C8C23×D7911yescharacteristic
1475C2×C8C23×D7911yescharacteristic
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
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—791no—
1493C4⋊C4—791no—
1494C4⋊C4—791no—
1495C4⋊C4—791no—
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⋊C4—1581no—
1522C4⋊C4D4×D7911yescharacteristic
1523C4⋊C4C23×D7911yescharacteristic
1524C4⋊C4C23×D7911yescharacteristic
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—791no—
1532C22⋊C4—791no—
1533C22⋊C4—791no—
1534C22⋊C4—791no—
1535C22⋊C4—791no—
1536C22⋊C4—791no—
1537C22⋊C4—791no—
1538C22⋊C4—791no—
1539C22⋊C4—1581no—
1540C22⋊C4—1581no—
1541C22⋊C4—1581no—
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⋊C4D4×D7911yescharacteristic
1564C22⋊C4D4×D7911yescharacteristic
1565C42—21no—
1566C42—21no—
1567C42—791no—
1568C42—791no—
1569C42—791no—
1570C42—791no—
1571C42—791no—
1572C42—1581no—
1573C42—1581no—
1574C42—1581no—
1575C42—1581no—
1576C42—1581no—
1577C42—1581no—
1578C42—1581no—
1579C42—1581no—
1580C42—1581no—
1581C42—1581no—
1582C42—1581no—
1583C42—1581no—
1584C42C23×D7911yescharacteristic
1585C23—21no—
1586C23—3162no—
1587C23—791no—
1588C23—6321no—
1589C23—6321no—
1590C23—6321no—
1591C23—6321no—
1592C23—6321no—
1593C23—6321no—
1594C23—6321no—
1595C23—6321no—
1596C23—1581no—
1597C23—1581no—
1598C23—1581no—
1599C23C2×D4×D7911yescharacteristic
1600C23C2×D4×D7911yescharacteristic
1601Q8—21no—
1602Q8—21no—
1603Q8—21no—
1604Q8—21no—
1605Q8—21no—
1606Q8—21no—
1607Q8—21no—
1608Q8—21no—
1609Q8—21no—
1610Q8—42no—
1611Q8—42no—
1612Q8—81no—
1613Q8—3162no—
1614Q8—3161no—
1615Q8—3162no—
1616Q8—6321no—
1617Q8—1581no—
1618Q8—1581no—
1619Q8#1457920612yes—
1620D4—22no—
1621D4—21no—
1622D4—21no—
1623D4—42no—
1624D4—81no—
1625D4—3162no—
1626D4—3161no—
1627D4—6321no—
1628D4—6321no—
1629D4—6321no—
1630D4—6321no—
1631D4—6321no—
1632D4—6321no—
1633D4—6321no—
1634D4—6321no—
1635D4—6321no—
1636D4—6321no—
1637D4—6321no—
1638D4—6321no—
1639D4—1582no—
1640D4—1581no—
1641D4—1581no—
1642D4—1581no—
1643D4—1581no—
1644D4—1581no—
1645D4—1581no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—42no—
1658C2×C4—42no—
1659C2×C4—81no—
1660C2×C4—81no—
1661C2×C4—3162no—
1662C2×C4—3162no—
1663C2×C4—3161no—
1664C2×C4—791no—
1665C2×C4—791no—
1666C2×C4—791no—
1667C2×C4—791no—
1668C2×C4—791no—
1669C2×C4—791no—
1670C2×C4—791no—
1671C2×C4—6321no—
1672C2×C4—6321no—
1673C2×C4—6321no—
1674C2×C4—6321no—
1675C2×C4—6321no—
1676C2×C4—1581no—
1677C2×C4—1581no—
1678C2×C4—1581no—
1679C2×C4—1581no—
1680C2×C4—1581no—
1681C2×C4—1582no—
1682C2×C4—1581no—
1683C2×C4—1581no—
1684C2×C4C2×D4×D7911yescharacteristic
1685C2×C4C2×D4×D7911yescharacteristic
1686C2×C4C2×D4×D7911yescharacteristic
1687C2×C4C2×D4×D7911yescharacteristic
1688C2×C4C24×D7911yescharacteristic
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—21no—
1693C8—1581no—
1694C8—1581no—
1695C8—1581no—
1696C8—1581no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—3161no—
1706C22—3161no—
1707C22—3161no—
1708C22—3161no—
1709C22—3161no—
1710C22—3161no—
1711C22—3161no—
1712C22—3161no—
1713C22—3161no—
1714C22—1581no—
1715C22—1581no—
1716C22—1581no—
1717C22—12642no—
1718C22—12642no—
1719C22—12642no—
1720C22#1909937212yes—
1721C22C22×D4×D7911yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—22no—
1725C4—21no—
1726C4—21no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—3161no—
1734C4—3161no—
1735C4—3161no—
1736C4—3161no—
1737C4—3161no—
1738C4—1581no—
1739C4—1581no—
1740C4—1581no—
1741C4—1581no—
1742C4—1581no—
1743C4—1581no—
1744C4—1581no—
1745C4C2×#1457920611yescharacteristic
1746C4#1909939811yescharacteristic
1747C2—22no—
1748C2—41no—
1749C2—81no—
1750C2—3161no—
1751C2—6321no—
1752C2—6321no—
1753C2—6321no—
1754C2#2377706011yescharacteristic
1755C2C2×#1909937211yescharacteristic
1756C2#2377818511yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3270C2
socleC22×C79C23×D4
prime radical#23777917C2
hypercenter#3270D79
hypocenterC79#62019
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3270

Complements

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

NH ≅ G/Ntype
2. #23777487C2semidirect
3. #23776457C2semidirect
4. #23776450C2semidirect
5. #23776172C2semidirect
6. #23776169C2semidirect
7. #23775440C2semidirect
8. #23775431C2semidirect
9. #23775427C2semidirect
10. #23775423C2semidirect
11. #23775291C2semidirect
12. #23775287C2semidirect
13. D4×#11929611C2semidirect
14. #23775089C2semidirect
15. #23774970C2semidirect
16. #23774904C2semidirect
17. #23774903C2semidirect
18. #23774824C2semidirect
19. #23774821C2semidirect
20. #23774711C2semidirect
21. #23774470C2semidirect
22. #23774467C2semidirect
23. #23774402C2semidirect
24. #23773633C2semidirect
25. #23773630C2semidirect
26. #23773517C2semidirect
27. #23772923C2semidirect
28. #23772919C2semidirect
29. C2×#19098787C2semidirect
30. #23772540C2semidirect
31. C79×#3270C2semidirect
32. C2×#14579193C22semidirect
34. C22×#11929611C22semidirect
35. C2×SD16×D79C22semidirect
40. #19099289C22semidirect
42. #19099288C22semidirect
44. #19099284C22semidirect
46. #19099255C22semidirect
48. #19099253C22semidirect
49. Q8×C22⋊D79C22semidirect
50. Q8×C22⋊D79C22semidirect
61. #19099174C22semidirect
63. #19099173C22semidirect
71. #19099115C22semidirect
76. #19099041C22semidirect
77. #19099039C22semidirect
78. C2×Q8×Dic79C22semidirect
79. #19098956C22semidirect
80. #19098956C22semidirect
81. #19098956C22semidirect
86. #19098924C22semidirect
87. #19098924C22semidirect
88. #19098919C22semidirect
89. #19098917C22semidirect
90. #19098903C22semidirect
91. #19098901C22semidirect
94. #19098877C22semidirect
95. #19098874C22semidirect
96. #19098872C22semidirect
97. #19098870C22semidirect
98. #19098864C22semidirect
99. #19098862C22semidirect
100. #19098856C22semidirect
101. #19098856C22semidirect
102. #19098852C22semidirect
103. #19098851C22semidirect
104. #19098847C22semidirect
105. #19098846C22semidirect
106. #19098818C22semidirect
109. #19098802C22semidirect
110. #19098801C22semidirect
113. #19098794C22semidirect
114. #19098792C22semidirect
115. #19098790C22semidirect
116. #19098788C22semidirect
117. #19098788C22semidirect
118. #19098787C22semidirect
119. #19098787C22semidirect
120. #19098787C22semidirect
121. #19098787C22semidirect
122. #19098787C22semidirect
123. #19098787C22semidirect
124. #19098787C22semidirect
125. #19098787C22semidirect
126. #19098787C22semidirect
127. #19098787C22semidirect
128. #19098787C22semidirect
129. #19098787C22semidirect
130. #19098782C22semidirect
131. #19098771C22semidirect
132. #19098767C22semidirect
133. #19098767C22semidirect
134. #19098766C22semidirect
135. #19098765C22semidirect
138. #19098762C22semidirect
141. #19098761C22semidirect
142. #19098761C22semidirect
143. #19098761C22semidirect
144. #19098725C22semidirect
145. #19098724C22semidirect
146. #19098724C22semidirect
147. #19098719C22semidirect
148. #19098717C22semidirect
150. #19098716C22semidirect
152. #19098713C22semidirect
153. #19098712C22semidirect
154. #19098712C22semidirect
157. #19098702C22semidirect
158. #19098691C22semidirect
159. #19098690C22semidirect
160. #19098670C22semidirect
161. #19098666C22semidirect
162. #19098666C22semidirect
163. #19098666C22semidirect
164. #19098665C22semidirect
165. #19098664C22semidirect
166. #19098664C22semidirect
167. Q16×Dic79C22semidirect
168. C4×#11929614C22semidirect
169. C4×#11929611C22semidirect
170. #19098648C22semidirect
171. #19098634C22semidirect
172. #19098632C22semidirect
173. #19098631C22semidirect
174. D4×C79⋊C8C22semidirect
175. (C22⋊D79)⋊C8C22semidirect
176. #19098625C22semidirect
177. #19098621C22semidirect
178. #19098617C22semidirect
179. #19098591C22semidirect
180. #19098588C22semidirect
181. C2×Dic79⋊C8C22semidirect
182. #19098569C22semidirect
183. #19098566C22semidirect
184. #19098559C22semidirect
185. #19098558C22semidirect
186. C2×#14579085C22semidirect
188. C2×#137×C79C22semidirect
189. C22×Q16×C79C22semidirect
190. D4×Q8×C79C22semidirect
192. #497×C79C22semidirect
193. #470×C79C22semidirect
194. #465×C79C22semidirect
195. #464×C79C22semidirect
196. #462×C79C22semidirect
197. #452×C79C22semidirect
198. #451×C79C22semidirect
199. #451×C79C22semidirect
200. #448×C79C22semidirect
201. #441×C79C22semidirect
202. #435×C79C22semidirect
894. #3270D79semidirect
910. C79#62019semidirect
912. C2×#137C2×D79semidirect
913. C22×Q16C2×D79semidirect
932. D4×Q8C2×D79semidirect
965. #497C2×D79semidirect
991. #470C2×D79semidirect
1001. #465C2×D79semidirect
1017. #464C2×D79semidirect
1019. #462C2×D79semidirect
1035. #452C2×D79semidirect
1038. #451C2×D79semidirect
1039. #451C2×D79semidirect
1049. #448C2×D79semidirect
1053. #441C2×D79semidirect
1067. #435C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779172
#237774872
#237764572
#237764502
#237761722
#237761692
#237754402
#237754312
#237754272
#237754232
#237752912
#237752872
D4×#119296112
#237750892
#237749702
#237749042
#237749032
#237748242
#237748212
#237747112
#237744702
#237744672
#237744022
#237736332
#237736302
#237735172
#237729232
#237729192
C2×#190987872
#237725402
C79×#32702
#6201979