Finite Group Databasebeta

← #3371×D79 #35168042

Subgroups — #3371×D79 #35168042

Order 20224.

1874 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#559×D79C211yesmaximal, characteristic
2#557×D79C211yesmaximal, characteristic, complemented
3#23776175C211yesmaximal, characteristic, complemented
4#23776174C211yesmaximal, characteristic, complemented
5#23776173C211yesmaximal, characteristic, complemented
6#23776172C211yesmaximal, characteristic, complemented
7#23776171C211yesmaximal, characteristic, complemented
8#23776170C211yesmaximal, characteristic, complemented
9#23776169C211yesmaximal, characteristic, complemented
10#23776168C211yesmaximal, characteristic, complemented
11#23776167C211yesmaximal, characteristic, complemented
12#23776166C211yesmaximal, characteristic, complemented
13#23776165C211yesmaximal, characteristic, complemented
14#23776164C211yesmaximal, characteristic, complemented
15#23776163C211yesmaximal, characteristic, complemented
16#23776162C211yesmaximal, characteristic, complemented
17#23776161C211yesmaximal, characteristic, complemented
18#490×D79C211yesmaximal, characteristic
19#489×D79C211yesmaximal, characteristic, complemented
20#488×D79C211yesmaximal, characteristic, complemented
21#479×D79C211yesmaximal, characteristic, complemented
22#478×D79C211yesmaximal, characteristic, complemented
23#476×D79C211yesmaximal, characteristic, complemented
24#464×D79C211yesmaximal, characteristic, complemented
25#464×D79C211yesmaximal, characteristic, complemented
26#460×D79C211yesmaximal, characteristic
27#446×D79C211yesmaximal, characteristic, complemented
28#441×D79C211yesmaximal, characteristic, complemented
29#440×D79C211yesmaximal, characteristic, complemented
30C4×SD16×D79C211yesmaximal, characteristic, complemented
31C79×#3371C211yesmaximal, characteristic, complemented
32C2×Q16×D79C2211yescharacteristic
33C2×SD16×D79C2211yescharacteristic
34C2×SD16×D79C2211yescharacteristic
35#19099299C2211yescharacteristic
36#19099298C2211yescharacteristic
37#19099298C2211yescharacteristic
38#19099297—21no—
39#19099297—21no—
40#19099296—21no—
41#19099296C2211yescharacteristic
42#19099296C2211yescharacteristic
43#19099295—21no—
44#19099295C2211yescharacteristic
45#19099295C2211yescharacteristic
46#19099292C2211yescharacteristic, complemented
47#19099291—21no—
48#19099291C2211yescharacteristic, complemented
49#19099290—21no—
50#19099290—21no—
51#19099290C2211yescharacteristic, complemented
52#19099290C2211yescharacteristic, complemented
53#19099289C2211yescharacteristic, complemented
54#19099289C2211yescharacteristic, complemented
55#19099288—21no—
56#19099288C2211yescharacteristic, complemented
57C4⋊Q8×D79—21no—
58C4⋊Q8×D79C2211yescharacteristic
59#127×D79C2211yescharacteristic
60#125×D79—21no—
61#125×D79—21no—
62#125×D79C2211yescharacteristic
63#125×D79C2211yescharacteristic
64#124×D79—21no—
65#124×D79C2211yescharacteristic
66#124×D79C2211yescharacteristic
67#123×D79—21no—
68#123×D79—21no—
69C4×Q8×D79—21no—
70C4×Q8×D79C2211yescharacteristic
71C4×Q8×D79C2211yescharacteristic
72C4×Q8×D79C2211yescharacteristic
73C4×Q8×D79C2211yescharacteristic
74C4×Q8×D79C2211yescharacteristic
75C4×D4×D79—21no—
76C4×D4×D79C2211yescharacteristic
77C4×D4×D79C2211yescharacteristic
78#19098929C2211yescharacteristic
79#19098928C2211yescharacteristic
80#19098927C2211yescharacteristic
81#19098926C2211yescharacteristic
82#19098926C2211yescharacteristic
83#19098926C2211yescharacteristic
84#19098926C2211yescharacteristic
85#19098925C2211yescharacteristic, complemented
86#19098924C2211yescharacteristic, complemented
87#19098924C2211yescharacteristic, complemented
88#19098923C2211yescharacteristic, complemented
89#19098922C2211yescharacteristic, complemented
90#19098921C2211yescharacteristic, complemented
91#19098921C2211yescharacteristic, complemented
92#19098920C2211yescharacteristic, complemented
93#19098919C2211yescharacteristic, complemented
94#19098919C2211yescharacteristic, complemented
95#19098918C2211yescharacteristic, complemented
96#19098917C2211yescharacteristic, complemented
97#19098916C2211yescharacteristic, complemented
98#19098916C2211yescharacteristic, complemented
99#19098873C2211yescharacteristic, complemented
100#19098872C2211yescharacteristic, complemented
101#19098871C2211yescharacteristic, complemented
102#19098870C2211yescharacteristic, complemented
103#19098869C2211yescharacteristic, complemented
104#19098868C2211yescharacteristic, complemented
105#19098867C2211yescharacteristic, complemented
106#19098866C2211yescharacteristic, complemented
107#19098865C2211yescharacteristic, complemented
108#19098864C2211yescharacteristic, complemented
109#19098863C2211yescharacteristic, complemented
110#19098862C2211yescharacteristic, complemented
111#19098861C2211yescharacteristic, complemented
112#19098860C2211yescharacteristic, complemented
113#19098854C2211yescharacteristic, complemented
114#19098853C2211yescharacteristic, complemented
115#19098852C2211yescharacteristic, complemented
116#19098852C2211yescharacteristic, complemented
117#19098851C2211yescharacteristic, complemented
118#19098851C2211yescharacteristic, complemented
119#19098850C2211yescharacteristic, complemented
120#19098788C2211yescharacteristic, complemented
121#19098788C2211yescharacteristic, complemented
122#19098787C2211yescharacteristic, complemented
123#19098787C2211yescharacteristic, complemented
124#19098786C2211yescharacteristic, complemented
125#19098786C2211yescharacteristic, complemented
126#19098785C2211yescharacteristic, complemented
127#19098785C2211yescharacteristic, complemented
128#19098784C2211yescharacteristic, complemented
129#19098784C2211yescharacteristic, complemented
130#19098783C2211yescharacteristic, complemented
131#19098783C2211yescharacteristic, complemented
132#19098782C2211yescharacteristic, complemented
133#19098782C2211yescharacteristic, complemented
134#19098764C2211yescharacteristic
135#19098763C2211yescharacteristic
136#19098762C2211yescharacteristic
137#19098762C2211yescharacteristic
138#19098761C2211yescharacteristic
139#19098761C2211yescharacteristic
140#19098760C2211yescharacteristic
141#19098694C2211yescharacteristic, complemented
142#19098693C2211yescharacteristic, complemented
143#19098692C2211yescharacteristic, complemented
144#19098692C2211yescharacteristic, complemented
145#19098691C2211yescharacteristic, complemented
146#19098691C2211yescharacteristic, complemented
147#19098690C2211yescharacteristic, complemented
148#19098671C2211yescharacteristic, complemented
149#19098670C2211yescharacteristic, complemented
150#19098669C2211yescharacteristic, complemented
151#19098668C2211yescharacteristic, complemented
152#19098668C2211yescharacteristic, complemented
153#19098667C2211yescharacteristic, complemented
154#19098667C2211yescharacteristic, complemented
155#19098666C2211yescharacteristic, complemented
156#19098665C2211yescharacteristic, complemented
157#19098664C2211yescharacteristic, complemented
158#19098663C2211yescharacteristic, complemented
159#19098662C2211yescharacteristic, complemented
160#19098661C2211yescharacteristic, complemented
161#19098660C2211yescharacteristic, complemented
162#19098654C2211yescharacteristic, complemented
163C4×#11929613C2211yescharacteristic, complemented
164SD16×Dic79C2211yescharacteristic, complemented
165C4×#11929611C2211yescharacteristic, complemented
166#19098650C2211yescharacteristic, complemented
167C4×#11929612C2211yescharacteristic, complemented
168#19098648C2211yescharacteristic, complemented
169#107×D79C2211yescharacteristic
170#106×D79C2211yescharacteristic
171#106×D79C2211yescharacteristic
172C4⋊C8×D79C2211yescharacteristic
173C4⋊C8×D79C2211yescharacteristic
174C4⋊C8×D79C2211yescharacteristic
175#103×D79C2211yescharacteristic
176#103×D79C2211yescharacteristic
177#103×D79C2211yescharacteristic
178#103×D79C2211yescharacteristic
179#102×D79C2211yescharacteristic
180#102×D79C2211yescharacteristic
181#102×D79C2211yescharacteristic
182#102×D79C2211yescharacteristic
183#102×D79C2211yescharacteristic
184#102×D79C2211yescharacteristic
185#97×D79C2211yescharacteristic
186#97×D79C2211yescharacteristic
187C4×C8×D79C2211yescharacteristic
188#559×C79C2211yescharacteristic
189#557×C79C2211yescharacteristic, complemented
190#490×C79C2211yescharacteristic
191#489×C79C2211yescharacteristic, complemented
192#488×C79C2211yescharacteristic, complemented
193#479×C79C2211yescharacteristic, complemented
194#478×C79C2211yescharacteristic, complemented
195#476×C79C2211yescharacteristic, complemented
196#464×C79C2211yescharacteristic, complemented
197#464×C79C2211yescharacteristic, complemented
198#460×C79C2211yescharacteristic
199#446×C79C2211yescharacteristic, complemented
200#441×C79C2211yescharacteristic, complemented
201#440×C79C2211yescharacteristic, complemented
202C4×SD16×C79C2211yescharacteristic, complemented
203C2×Q8×D79—21no—
204C2×Q8×D79D411yescharacteristic
205C2×Q8×D79C2311yescharacteristic
206C2×Q8×D79C2311yescharacteristic
207C2×D4×D79—21no—
208C2×D4×D79—21no—
209C2×D4×D79C2311yescharacteristic
210C2×D4×D79C2311yescharacteristic
211C22×C4×D79—21no—
212C22×C4×D79—21no—
213C2×Dic316C2311yescharacteristic
214C2×#11929614C2311yescharacteristic
215C2×#11929614C2311yescharacteristic
216Q16×D79—24no—
217C2×#11929613C2311yescharacteristic
218C2×#11929613C2311yescharacteristic
219C2×#11929612C2311yescharacteristic
220C2×#11929612C2311yescharacteristic
221C2×#11929611C2311yescharacteristic
222C2×#11929611C2311yescharacteristic
223SD16×D79—24no—
224SD16×D79—24no—
225C2×C8×D79C2311yescharacteristic
226C2×C8×D79C2311yescharacteristic
227C2×C8×D79C2311yescharacteristic
228C2×C8×D79C2311yescharacteristic
229#14579161—21no—
230#14579161C2311yescharacteristic
231#14579160—21no—
232#14579160—21no—
233#14579160—21no—
234#14579160—21no—
235#14579160—21no—
236#14579160C2311yescharacteristic
237#14579160C2311yescharacteristic
238#14579159—21no—
239#14579159—21no—
240#14579159—21no—
241#14579158C2311yescharacteristic
242#14579157—21no—
243#14579157—21no—
244#14579157C2311yescharacteristic
245#14579157C2311yescharacteristic
246#14579153—21no—
247#14579153—21no—
248#14579153C2311yescharacteristic
249#14579153C2311yescharacteristic
250#14579152—21no—
251#14579152—21no—
252#14579152—21no—
253#14579152—21no—
254#14579152C2311yescharacteristic
255#14579152C2311yescharacteristic
256#14579152C2311yescharacteristic
257#14579152C2311yescharacteristic
258#14579151—21no—
259#14579151—21no—
260#14579151—21no—
261#14579151—21no—
262#14579151—21no—
263#14579151—21no—
264#14579151—21no—
265#14579151—21no—
266#14579151—21no—
267#14579151—21no—
268#14579151—21no—
269#14579151—21no—
270#14579150—21no—
271#14579150C2311yescharacteristic
272#14579150C2311yescharacteristic
273#14579149—21no—
274#14579149C2311yescharacteristic
275#14579149C2311yescharacteristic
276#14579148—21no—
277#14579148C2311yescharacteristic
278#14579148C2311yescharacteristic
279#14579147—21no—
280#14579147—21no—
281#14579147—21no—
282#14579147—21no—
283#14579147—21no—
284#14579147—21no—
285#14579147—21no—
286#14579147—21no—
287#14579146—21no—
288#14579146—21no—
289#14579146—21no—
290#14579146—21no—
291#14579145—21no—
292#14579145—21no—
293#14579144—21no—
294#14579144—21no—
295#14579143—21no—
296#14579143—21no—
297#14579143—21no—
298#14579143—21no—
299#14579142—21no—
300#14579142—21no—
301Q8×Dic79—21no—
302Q8×Dic79D411yescharacteristic
303Q8×Dic79C2311yescharacteristic
304Q8×Dic79C2311yescharacteristic
305Q8×Dic79C2311yescharacteristic
306Q8×Dic79C2311yescharacteristic
307C4×Dic158—21no—
308C4×Dic158—21no—
309C4×Dic158—21no—
310C4×Dic158—21no—
311C4×Dic158—21no—
312C4×Dic158—21no—
313C4×Dic158—21no—
314C4×Dic158C2311yescharacteristic
315C4×Dic158C2311yescharacteristic
316C4×Dic158C2311yescharacteristic
317C4×Dic158C2311yescharacteristic
318C4×Dic158C2311yescharacteristic
319C4×Dic158C2311yescharacteristic
320C4×Dic158C2311yescharacteristic
321#14579126—21no—
322#14579126—21no—
323#14579126—21no—
324#14579126—21no—
325#14579126—21no—
326#14579126—21no—
327#14579126—21no—
328#14579126D411yescharacteristic
329#14579126D411yescharacteristic
330#14579126D411yescharacteristic
331#14579126C2311yescharacteristic
332#14579126C2311yescharacteristic
333#14579126C2311yescharacteristic
334#14579126C2311yescharacteristic
335C4×D316—21no—
336C4×D316C2311yescharacteristic
337C4×D316C2311yescharacteristic
338D4×Dic79—21no—
339D4×Dic79C2311yescharacteristic
340D4×Dic79C2311yescharacteristic
341#14579123—21no—
342#14579123C2311yescharacteristic
343#14579123C2311yescharacteristic
344C4×C22⋊D79—21no—
345C4×C22⋊D79—21no—
346C4×C22⋊D79—21no—
347C4×C22⋊D79—21no—
348(C22⋊D79)⋊C4—21no—
349(C22⋊D79)⋊C4—21no—
350(C22⋊D79)⋊C4—21no—
351(C22⋊D79)⋊C4—21no—
352C4⋊C4×D79—21no—
353C4⋊C4×D79—21no—
354C4⋊C4×D79—21no—
355C4⋊C4×D79—21no—
356C4⋊C4×D79—21no—
357C4⋊C4×D79—21no—
358C4⋊C4×D79—21no—
359C4⋊C4×D79—21no—
360C4⋊C4×D79—21no—
361C4⋊C4×D79D411yescharacteristic
362C4⋊C4×D79D411yescharacteristic
363C4⋊C4×D79D411yescharacteristic
364C4⋊C4×D79C2311yescharacteristic
365C4⋊C4×D79C2311yescharacteristic
366C4⋊C4×D79C2311yescharacteristic
367C4⋊C4×D79C2311yescharacteristic
368C22⋊C4×D79—21no—
369C22⋊C4×D79—21no—
370C22⋊C4×D79—21no—
371C22⋊C4×D79—21no—
372C22⋊C4×D79—21no—
373C22⋊C4×D79—21no—
374C42×D79—21no—
375C42×D79—21no—
376C42×D79—21no—
377C42×D79—21no—
378C42×D79C2311yescharacteristic
379C42×D79C2311yescharacteristic
380C42×D79C2311yescharacteristic
381#14579095C2311yescharacteristic
382#14579094C2311yescharacteristic
383#14579094C2311yescharacteristic
384#14579093C2311yescharacteristic
385#14579093C2311yescharacteristic
386#14579092C2311yescharacteristic
387#14579092C2311yescharacteristic
388#14579092C2311yescharacteristic
389#14579092C2311yescharacteristic
390C4⋊(C79⋊C8)C2311yescharacteristic
391C4⋊(C79⋊C8)C2311yescharacteristic
392C4⋊(C79⋊C8)C2311yescharacteristic
393Dic79⋊C8C2311yescharacteristic
394Dic79⋊C8C2311yescharacteristic
395Dic79⋊C8C2311yescharacteristic
396Dic79⋊C8C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399#14579086C2311yescharacteristic
400#14579086C2311yescharacteristic
401#14579086C2311yescharacteristic
402#14579086C2311yescharacteristic
403#14579085C2311yescharacteristic
404#14579085C2311yescharacteristic
405#14579085C2311yescharacteristic
406#14579085C2311yescharacteristic
407#14579084C2311yescharacteristic
408#14579084C2311yescharacteristic
409#14579084C2311yescharacteristic
410#14579084C2311yescharacteristic
411#14579083C2311yescharacteristic
412#14579083C2311yescharacteristic
413#14579083C2311yescharacteristic
414#14579083C2311yescharacteristic
415#14579083C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579081C2311yescharacteristic
424#14579081C2311yescharacteristic
425#14579081C2311yescharacteristic
426#14579081C2311yescharacteristic
427#14579081C2311yescharacteristic
428#14579081C2311yescharacteristic
429#14579072C2311yescharacteristic
430#14579072C2311yescharacteristic
431#14579071C2311yescharacteristic
432#14579071C2311yescharacteristic
433#14579071C2311yescharacteristic
434#14579071C2311yescharacteristic
435C4×C79⋊C8C2311yescharacteristic
436C8×Dic79C2311yescharacteristic
437C8×Dic79C2311yescharacteristic
438C2×Q16×C79C2311yescharacteristic
439C2×SD16×C79C2311yescharacteristic
440C2×SD16×C79C2311yescharacteristic
441C4⋊Q8×C79—21no—
442C4⋊Q8×C79C2311yescharacteristic
443#127×C79C2311yescharacteristic
444#125×C79—21no—
445#125×C79—21no—
446#125×C79C2311yescharacteristic
447#125×C79C2311yescharacteristic
448#124×C79—21no—
449#124×C79C2311yescharacteristic
450#124×C79C2311yescharacteristic
451#123×C79—21no—
452#123×C79—21no—
453C4×Q8×C79—21no—
454C4×Q8×C79C2311yescharacteristic
455C4×Q8×C79C2311yescharacteristic
456C4×Q8×C79C2311yescharacteristic
457C4×Q8×C79C2311yescharacteristic
458C4×Q8×C79C2311yescharacteristic
459C4×D4×C79—21no—
460C4×D4×C79C2311yescharacteristic
461C4×D4×C79C2311yescharacteristic
462#107×C79C2311yescharacteristic
463#106×C79C2311yescharacteristic
464#106×C79C2311yescharacteristic
465C4⋊C8×C79C2311yescharacteristic
466C4⋊C8×C79C2311yescharacteristic
467C4⋊C8×C79C2311yescharacteristic
468#103×C79C2311yescharacteristic
469#103×C79C2311yescharacteristic
470#103×C79C2311yescharacteristic
471#103×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475#102×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478#97×C79C2311yescharacteristic
479#97×C79C2311yescharacteristic
480C4×C8×C79C2311yescharacteristic
481C23×D79—21no—
482C23×D79—21no—
483C2×Dic158—21no—
484C2×Dic158—21no—
485C2×Dic158—21no—
486C2×Dic158—21no—
487C2×Dic158—21no—
488C2×Dic158C2×D411yescharacteristic
489C2×Dic158C2×D411yescharacteristic
490C2×Dic158C2×D411yescharacteristic
491C2×Dic158C2411yescharacteristic
492C2×Dic158C2411yescharacteristic
493Q8×D79—22no—
494Q8×D79—22no—
495Q8×D79—22no—
496Q8×D79—42no—
497Q8×D79—44no—
498Q8×D79#4114yes—
499C2×D316—21no—
500C2×D316—21no—
501C2×D316C2411yescharacteristic
502C2×D316C2411yescharacteristic
503C2×C22⋊D79—21no—
504C2×C22⋊D79—21no—
505C2×C22⋊D79—21no—
506C2×C22⋊D79—21no—
507C2×C22⋊D79—21no—
508C2×C22⋊D79—21no—
509D4×D79—22no—
510D4×D79—22no—
511D4×D79—22no—
512D4×D79—22no—
513D4×D79—44no—
514D4×D79—82no—
515C22×Dic79—21no—
516C22×Dic79—21no—
517C2×C4×D79—21no—
518C2×C4×D79—21no—
519C2×C4×D79—21no—
520C2×C4×D79—21no—
521C2×C4×D79—21no—
522C2×C4×D79—21no—
523C2×C4×D79—21no—
524C2×C4×D79—21no—
525C2×C4×D79—21no—
526C2×C4×D79—21no—
527C2×C4×D79—82no—
528C2×C4×D79—82no—
529C2×C4×D79C2×D411yescharacteristic
530C2×C4×D79C2×D411yescharacteristic
531C2×C4×D79C2×D411yescharacteristic
532C2×C4×D79C2×D411yescharacteristic
533C2×C4×D79C2×D411yescharacteristic
534C2×C4×D79C2×D411yescharacteristic
535C2×C4×D79C2411yescharacteristic
536Dic316—22no—
537#11929614—22no—
538#11929614—22no—
539#11929613—22no—
540#11929613—22no—
541#11929612—22no—
542#11929612—22no—
543#11929611—22no—
544#11929611—22no—
545C2×C79⋊C8C2411yescharacteristic
546C2×C79⋊C8C2411yescharacteristic
547C2×C79⋊C8C2411yescharacteristic
548C2×C79⋊C8C2411yescharacteristic
549C8×D79—22no—
550C8×D79—22no—
551C8×D79—22no—
552C8×D79—22no—
553C4⋊Dic79—21no—
554C4⋊Dic79—21no—
555C4⋊Dic79—21no—
556C4⋊Dic79—21no—
557C4⋊Dic79—21no—
558C4⋊Dic79—21no—
559C4⋊Dic79—21no—
560C4⋊Dic79—21no—
561C4⋊Dic79—21no—
562C4⋊Dic79C2×D411yescharacteristic
563C4⋊Dic79C2×D411yescharacteristic
564C4⋊Dic79C2×D411yescharacteristic
565C4⋊Dic79C2411yescharacteristic
566C4⋊Dic79C2411yescharacteristic
567C4⋊Dic79C2411yescharacteristic
568C4⋊Dic79C2411yescharacteristic
569Dic79⋊C4—21no—
570Dic79⋊C4—21no—
571Dic79⋊C4—21no—
572Dic79⋊C4—21no—
573Dic79⋊C4—21no—
574Dic79⋊C4—21no—
575Dic79⋊C4—21no—
576Dic79⋊C4—21no—
577Dic79⋊C4—21no—
578Dic79⋊C4—21no—
579Dic79⋊C4—21no—
580Dic79⋊C4—21no—
581Dic79⋊C4—21no—
582Dic79⋊C4—21no—
583Dic79⋊C4—21no—
584Dic79⋊C4—21no—
585Dic79⋊C4—21no—
586Dic79⋊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—
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—
615C4×Dic79—21no—
616C4×Dic79—21no—
617C4×Dic79—21no—
618C4×Dic79—21no—
619C4×Dic79—21no—
620C4×Dic79—21no—
621C4×Dic79—21no—
622C4×Dic79—21no—
623C4×Dic79—21no—
624C4×Dic79—21no—
625C4×Dic79—21no—
626C4×Dic79—21no—
627C4×Dic79C2×D411yescharacteristic
628C4×Dic79C2×D411yescharacteristic
629C4×Dic79C2×D411yescharacteristic
630C4×Dic79C2×D411yescharacteristic
631C4×Dic79C2×D411yescharacteristic
632C4×Dic79C2×D411yescharacteristic
633C4×Dic79C2411yescharacteristic
634C4×Dic79C2411yescharacteristic
635C4×Dic79C2411yescharacteristic
636C2×Q8×C79—21no—
637C2×Q8×C79C2×D411yescharacteristic
638C2×Q8×C79C2411yescharacteristic
639C2×Q8×C79C2411yescharacteristic
640C2×D4×C79—21no—
641C2×D4×C79—21no—
642C2×D4×C79C2411yescharacteristic
643C2×D4×C79C2411yescharacteristic
644C22×C4×C79—21no—
645C22×C4×C79—21no—
646Q16×C79—22no—
647SD16×C79—22no—
648SD16×C79—22no—
649C2×C8×C79C2411yescharacteristic
650C2×C8×C79C2411yescharacteristic
651C2×C8×C79C2411yescharacteristic
652C2×C8×C79C2411yescharacteristic
653C4⋊C4×C79—21no—
654C4⋊C4×C79—21no—
655C4⋊C4×C79—21no—
656C4⋊C4×C79—21no—
657C4⋊C4×C79—21no—
658C4⋊C4×C79—21no—
659C4⋊C4×C79—21no—
660C4⋊C4×C79—21no—
661C4⋊C4×C79—21no—
662C4⋊C4×C79C2×D411yescharacteristic
663C4⋊C4×C79C2×D411yescharacteristic
664C4⋊C4×C79C2×D411yescharacteristic
665C4⋊C4×C79C2411yescharacteristic
666C4⋊C4×C79C2411yescharacteristic
667C4⋊C4×C79C2411yescharacteristic
668C4⋊C4×C79C2411yescharacteristic
669C22⋊C4×C79—21no—
670C22⋊C4×C79—21no—
671C22⋊C4×C79—21no—
672C22⋊C4×C79—21no—
673C22⋊C4×C79—21no—
674C22⋊C4×C79—21no—
675C42×C79—21no—
676C42×C79—21no—
677C42×C79—21no—
678C42×C79—21no—
679C42×C79C2411yescharacteristic
680C42×C79C2411yescharacteristic
681C42×C79C2411yescharacteristic
682C23×C79—21no—
683C23×C79—21no—
684C22×D79—21no—
685C22×D79—21no—
686C22×D79—42no—
687C22×D79—42no—
688C22×D79—42no—
689C22×D79—42no—
690C22×D79—42no—
691C22×D79—42no—
692C22×D79C22×D411yescharacteristic
693Q8×C79—21no—
694Q8×C79—21no—
695Q8×C79—21no—
696Q8×C79—41no—
697Q8×C79—42no—
698Q8×C79C2×#4112yes—
699D4×C79—21no—
700D4×C79—21no—
701D4×C79—21no—
702D4×C79—21no—
703D4×C79—42no—
704D4×C79—81no—
705C2×C4×C79—21no—
706C2×C4×C79—21no—
707C2×C4×C79—21no—
708C2×C4×C79—21no—
709C2×C4×C79—21no—
710C2×C4×C79—21no—
711C2×C4×C79—81no—
712C2×C4×C79—81no—
713C2×C4×C79C22×D411yescharacteristic
714C2×C4×C79C22×D411yescharacteristic
715C2×C4×C79C22×D411yescharacteristic
716C2×C4×C79C22×D411yescharacteristic
717C2×C4×C79C22×D411yescharacteristic
718C2×C4×C79C22×D411yescharacteristic
719C2×C4×C79C2511yescharacteristic
720C22⋊D79—42no—
721C22⋊D79—42no—
722C22⋊D79—42no—
723C22⋊D79—42no—
724C22⋊D79—81no—
725C22⋊D79—81no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—21no—
729C2×Dic79—21no—
730C2×Dic79—21no—
731C2×Dic79—21no—
732C2×Dic79—81no—
733C2×Dic79—81no—
734C2×Dic79C22×D411yescharacteristic
735C2×Dic79C22×D411yescharacteristic
736C2×Dic79C22×D411yescharacteristic
737C2×Dic79C22×D411yescharacteristic
738C2×Dic79C22×D411yescharacteristic
739C2×Dic79C22×D411yescharacteristic
740C2×Dic79C22×D411yescharacteristic
741D316—21no—
742D316—21no—
743D316—21no—
744D316—21no—
745D316—42no—
746D316—81no—
747C4×D79—24no—
748C4×D79—22no—
749C4×D79—22no—
750C4×D79—22no—
751C4×D79—22no—
752C4×D79—22no—
753C4×D79—22no—
754C4×D79—42no—
755C4×D79—42no—
756C4×D79—42no—
757C4×D79—42no—
758C4×D79—42no—
759C4×D79—81no—
760C4×D79—81no—
761C4×D79—81no—
762C4×D79—81no—
763C4×D79C2×#4112yes—
764C4×D792−1+412yes—
765Dic158—21no—
766Dic158—24no—
767Dic158—21no—
768Dic158—21no—
769Dic158—41no—
770Dic158—41no—
771Dic158—41no—
772Dic158—42no—
773Dic158—42no—
774Dic158—42no—
775Dic158—42no—
776Dic158C2×#4112yes—
777C8×C79—21no—
778C8×C79—21no—
779C8×C79—21no—
780C8×C79—21no—
781C79⋊C8—21no—
782C79⋊C8—21no—
783C79⋊C8—21no—
784C79⋊C8—21no—
785C22×C79—41no—
786C22×C79—41no—
787C22×C79—41no—
788C22×C79—41no—
789C22×C79—41no—
790C22×C79—41no—
791C22×C79C23×D411yescharacteristic
792C2×D79—41no—
793C2×D79—41no—
794C2×D79—41no—
795C2×D79—41no—
796C2×D79—41no—
797C2×D79—41no—
798C2×D79—84no—
799C2×D79—84no—
800C2×D79#54812yes—
801C2×D79#57512yes—
802C2×D79#57712yes—
803C4×C79—22no—
804C4×C79—21no—
805C4×C79—21no—
806C4×C79—21no—
807C4×C79—21no—
808C4×C79—21no—
809C4×C79—21no—
810C4×C79—41no—
811C4×C79—41no—
812C4×C79—41no—
813C4×C79—41no—
814C4×C79—41no—
815C4×C79C22×#4111yescharacteristic
816C4×C79C2×2−1+411yescharacteristic
817Dic79—22no—
818Dic79—21no—
819Dic79—21no—
820Dic79—21no—
821Dic79—21no—
822Dic79—21no—
823Dic79—21no—
824Dic79—41no—
825Dic79—41no—
826Dic79—41no—
827Dic79—41no—
828Dic79—41no—
829Dic79#54812yes—
830C2×#3371—791nomaximal, Sylow
831C2×C79—81no—
832C2×C79—81no—
833C2×C79C2×#54811yescharacteristic
834C2×C79C2×#57511yescharacteristic
835C2×C79C2×#57711yescharacteristic
836D79—81no—
837D79—81no—
838D79#337114yesdirect product factor
839C2×#559—791no—
840C2×#557—791no—
841#3371—791no—
842#3371—791no—
843#3371—791no—
844#3371—791no—
845#3371—791no—
846#3371—791no—
847#3371—791no—
848#3371—791no—
849#3371—791no—
850#3371—791no—
851#3371—791no—
852#3371—791no—
853#3371—791no—
854#3371—791no—
855#3371—791no—
856#3371D7911yescharacteristic, direct product factor
857C2×#490—791no—
858C2×#489—791no—
859C2×#488—791no—
860C2×#479—791no—
861C2×#478—791no—
862C2×#476—791no—
863C2×#464—791no—
864C2×#464—791no—
865C2×#460—791no—
866C2×#446—791no—
867C2×#441—791no—
868C2×#440—791no—
869C2×C4×SD16—791no—
870C79C2×#337111yescharacteristic, complemented, Sylow
871C22×Q16—791no—
872C22×SD16—791no—
873C22×SD16—791no—
874#559—791no—
875#559—791no—
876#559—791no—
877#559—791no—
878#559—791no—
879#559—791no—
880#559—791no—
881#559—1581no—
882#559—1581no—
883#559—1581no—
884#559—1581no—
885#559C2×D7911yescharacteristic
886#557—791no—
887#557—791no—
888#557—791no—
889#557—791no—
890#557—791no—
891#557—791no—
892#557—791no—
893#557—1581no—
894#557—1581no—
895#557—1581no—
896#557—1581no—
897#557C2×D7911yescharacteristic, complemented
898C2×C4⋊Q8—791no—
899C2×C4⋊Q8—1581no—
900C2×#127—791no—
901C2×#125—791no—
902C2×#125—791no—
903C2×#125—1581no—
904C2×#125—1581no—
905C2×#124—791no—
906C2×#124—791no—
907C2×#124—1581no—
908C2×#123—1581no—
909C2×#123—1581no—
910C2×C4×Q8—791no—
911C2×C4×Q8—791no—
912C2×C4×Q8—791no—
913C2×C4×Q8—791no—
914C2×C4×Q8—791no—
915C2×C4×Q8—1581no—
916C2×C4×D4—791no—
917C2×C4×D4—791no—
918C2×C4×D4—1581no—
919#490—791no—
920#490—791no—
921#490—791no—
922#490—791no—
923#490—791no—
924#490—791no—
925#490—791no—
926#490C2×D7911yescharacteristic
927#489—791no—
928#489—791no—
929#489—791no—
930#489—791no—
931#489—791no—
932#489—791no—
933#489—791no—
934#489C2×D7911yescharacteristic, complemented
935#488—791no—
936#488—791no—
937#488—791no—
938#488—791no—
939#488—791no—
940#488—791no—
941#488—791no—
942#488C2×D7911yescharacteristic, complemented
943#479—791no—
944#479—791no—
945#479—791no—
946#479—791no—
947#479—791no—
948#479—791no—
949#479—791no—
950#479C2×D7911yescharacteristic, complemented
951#478—791no—
952#478—791no—
953#478—791no—
954#478—791no—
955#478—791no—
956#478—791no—
957#478—791no—
958#478C2×D7911yescharacteristic, complemented
959#476—791no—
960#476—791no—
961#476—791no—
962#476—791no—
963#476—791no—
964#476—791no—
965#476—791no—
966#476C2×D7911yescharacteristic, complemented
967#464—791no—
968#464—791no—
969#464—791no—
970#464—791no—
971#464—791no—
972#464—791no—
973#464—791no—
974#464—791no—
975#464—791no—
976#464—791no—
977#464—791no—
978#464—791no—
979#464—791no—
980#464—791no—
981#464C2×D7911yescharacteristic, complemented
982#464C2×D7911yescharacteristic, complemented
983#460—791no—
984#460—791no—
985#460—791no—
986#460—791no—
987#460—791no—
988#460—791no—
989#460—791no—
990#460C2×D7911yescharacteristic
991#446—791no—
992#446—791no—
993#446—791no—
994#446—791no—
995#446—791no—
996#446—791no—
997#446—791no—
998#446C2×D7911yescharacteristic, complemented
999#441—791no—
1000#441—791no—
1001#441—791no—
1002#441—791no—
1003#441—791no—
1004#441—791no—
1005#441—791no—
1006#441C2×D7911yescharacteristic, complemented
1007#440—791no—
1008#440—791no—
1009#440—791no—
1010#440—791no—
1011#440—791no—
1012#440—791no—
1013#440—791no—
1014#440C2×D7911yescharacteristic, complemented
1015C4×SD16—791no—
1016C4×SD16—791no—
1017C4×SD16—791no—
1018C4×SD16—791no—
1019C4×SD16—791no—
1020C4×SD16—791no—
1021C4×SD16—791no—
1022C4×SD16C2×D7911yescharacteristic, complemented
1023C2×#107—791no—
1024C2×#106—791no—
1025C2×#106—791no—
1026C2×C4⋊C8—791no—
1027C2×C4⋊C8—791no—
1028C2×C4⋊C8—791no—
1029C2×#103—791no—
1030C2×#103—791no—
1031C2×#103—791no—
1032C2×#103—791no—
1033C2×#102—791no—
1034C2×#102—791no—
1035C2×#102—791no—
1036C2×#102—791no—
1037C2×#102—791no—
1038C2×#102—791no—
1039C2×#97—791no—
1040C2×#97—791no—
1041C2×C4×C8—791no—
1042C22×Q8—791no—
1043C22×Q8—791no—
1044C22×Q8—791no—
1045C22×Q8—1581no—
1046C22×D4—791no—
1047C22×D4—791no—
1048C22×D4—1581no—
1049C22×D4—1581no—
1050C23×C4—1581no—
1051C23×C4—1581no—
1052C2×Q16—791no—
1053C2×Q16—791no—
1054C2×Q16—791no—
1055C2×Q16—1584no—
1056C2×Q16C22×D7911yescharacteristic
1057C2×SD16—791no—
1058C2×SD16—791no—
1059C2×SD16—791no—
1060C2×SD16—791no—
1061C2×SD16—791no—
1062C2×SD16—791no—
1063C2×SD16—1584no—
1064C2×SD16—1584no—
1065C2×SD16C22×D7911yescharacteristic
1066C2×SD16C22×D7911yescharacteristic
1067C22×C8—791no—
1068C22×C8—791no—
1069C22×C8—791no—
1070C22×C8—791no—
1071C4⋊Q8—21no—
1072C4⋊Q8—791no—
1073C4⋊Q8—791no—
1074C4⋊Q8—791no—
1075C4⋊Q8—1581no—
1076C4⋊Q8—1581no—
1077C4⋊Q8—1581no—
1078C4⋊Q8—1581no—
1079C4⋊Q8—1581no—
1080C4⋊Q8—1581no—
1081C4⋊Q8—1581no—
1082C4⋊Q8—1581no—
1083C4⋊Q8—1581no—
1084C4⋊Q8C22×D7911yescharacteristic
1085#127—791no—
1086#127—791no—
1087#127—791no—
1088#127—1581no—
1089#127—1581no—
1090#127C22×D7911yescharacteristic
1091#125—21no—
1092#125—21no—
1093#125—791no—
1094#125—791no—
1095#125—791no—
1096#125—791no—
1097#125—791no—
1098#125—791no—
1099#125—1581no—
1100#125—1581no—
1101#125—1581no—
1102#125—1581no—
1103#125—1581no—
1104#125—1581no—
1105#125—1581no—
1106#125—1581no—
1107#125—1581no—
1108#125—1581no—
1109#125—1581no—
1110#125—1581no—
1111#125—1581no—
1112#125—1581no—
1113#125—1581no—
1114#125—1581no—
1115#125—1581no—
1116#125—1581no—
1117#125C22×D7911yescharacteristic
1118#125C22×D7911yescharacteristic
1119#124—21no—
1120#124—791no—
1121#124—791no—
1122#124—791no—
1123#124—791no—
1124#124—791no—
1125#124—791no—
1126#124—1581no—
1127#124—1581no—
1128#124—1581no—
1129#124—1581no—
1130#124—1581no—
1131#124—1581no—
1132#124—1581no—
1133#124—1581no—
1134#124—1581no—
1135#124—1581no—
1136#124—1581no—
1137#124C22×D7911yescharacteristic
1138#124C22×D7911yescharacteristic
1139#123—21no—
1140#123—21no—
1141#123—1581no—
1142#123—1581no—
1143#123—1581no—
1144#123—1581no—
1145#123—1581no—
1146#123—1581no—
1147#123—1581no—
1148#123—1581no—
1149#123—1581no—
1150#123—1581no—
1151#123—1581no—
1152#123—1581no—
1153#123—1581no—
1154#123—1581no—
1155C4×Q8—21no—
1156C4×Q8—791no—
1157C4×Q8—791no—
1158C4×Q8—791no—
1159C4×Q8—791no—
1160C4×Q8—791no—
1161C4×Q8—791no—
1162C4×Q8—791no—
1163C4×Q8—791no—
1164C4×Q8—791no—
1165C4×Q8—791no—
1166C4×Q8—791no—
1167C4×Q8—791no—
1168C4×Q8—791no—
1169C4×Q8—791no—
1170C4×Q8—791no—
1171C4×Q8—791no—
1172C4×Q8—791no—
1173C4×Q8—791no—
1174C4×Q8—791no—
1175C4×Q8—1581no—
1176C4×Q8—1581no—
1177C4×Q8—1581no—
1178C4×Q8—1581no—
1179C4×Q8—1581no—
1180C4×Q8—1581no—
1181C4×Q8—1581no—
1182C4×Q8—1581no—
1183C4×Q8—1581no—
1184C4×Q8—1581no—
1185C4×Q8—1581no—
1186C4×Q8—1581no—
1187C4×Q8—1581no—
1188C4×Q8—1581no—
1189C4×Q8—1581no—
1190C4×Q8C22×D7911yescharacteristic
1191C4×Q8C22×D7911yescharacteristic
1192C4×Q8C22×D7911yescharacteristic
1193C4×Q8C22×D7911yescharacteristic
1194C4×Q8C22×D7911yescharacteristic
1195C4×D4—21no—
1196C4×D4—791no—
1197C4×D4—791no—
1198C4×D4—791no—
1199C4×D4—791no—
1200C4×D4—791no—
1201C4×D4—791no—
1202C4×D4—1581no—
1203C4×D4—1581no—
1204C4×D4—1581no—
1205C4×D4—1581no—
1206C4×D4—1581no—
1207C4×D4—1581no—
1208C4×D4—1581no—
1209C4×D4—1581no—
1210C4×D4—1581no—
1211C4×D4—1581no—
1212C4×D4—1581no—
1213C4×D4C22×D7911yescharacteristic
1214C4×D4C22×D7911yescharacteristic
1215C2×C4⋊C4—791no—
1216C2×C4⋊C4—791no—
1217C2×C4⋊C4—791no—
1218C2×C4⋊C4—791no—
1219C2×C4⋊C4—791no—
1220C2×C4⋊C4—791no—
1221C2×C4⋊C4—791no—
1222C2×C4⋊C4—1581no—
1223C2×C4⋊C4—1581no—
1224C2×C4⋊C4—1581no—
1225C2×C4⋊C4—1581no—
1226C2×C4⋊C4—1581no—
1227C2×C4⋊C4—1581no—
1228C2×C4⋊C4—1581no—
1229C2×C4⋊C4—1581no—
1230C2×C4⋊C4—1581no—
1231C2×C22⋊C4—1581no—
1232C2×C22⋊C4—1581no—
1233C2×C22⋊C4—1581no—
1234C2×C22⋊C4—1581no—
1235C2×C22⋊C4—1581no—
1236C2×C22⋊C4—1581no—
1237C2×C42—791no—
1238C2×C42—791no—
1239C2×C42—791no—
1240C2×C42—1581no—
1241C2×C42—1581no—
1242C2×C42—1581no—
1243C2×C42—1581no—
1244#107—791no—
1245#107—791no—
1246#107—791no—
1247#107C22×D7911yescharacteristic
1248#106—791no—
1249#106—791no—
1250#106—791no—
1251#106—791no—
1252#106—791no—
1253#106—791no—
1254#106C22×D7911yescharacteristic
1255#106C22×D7911yescharacteristic
1256C4⋊C8—791no—
1257C4⋊C8—791no—
1258C4⋊C8—791no—
1259C4⋊C8—791no—
1260C4⋊C8—791no—
1261C4⋊C8—791no—
1262C4⋊C8—791no—
1263C4⋊C8—791no—
1264C4⋊C8—791no—
1265C4⋊C8C22×D7911yescharacteristic
1266C4⋊C8C22×D7911yescharacteristic
1267C4⋊C8C22×D7911yescharacteristic
1268#103—791no—
1269#103—791no—
1270#103—791no—
1271#103—791no—
1272#103—791no—
1273#103—791no—
1274#103—791no—
1275#103—791no—
1276#103—791no—
1277#103—791no—
1278#103—791no—
1279#103—791no—
1280#103C22×D7911yescharacteristic
1281#103C22×D7911yescharacteristic
1282#103C22×D7911yescharacteristic
1283#103C22×D7911yescharacteristic
1284#102—791no—
1285#102—791no—
1286#102—791no—
1287#102—791no—
1288#102—791no—
1289#102—791no—
1290#102—791no—
1291#102—791no—
1292#102—791no—
1293#102—791no—
1294#102—791no—
1295#102—791no—
1296#102—791no—
1297#102—791no—
1298#102—791no—
1299#102—791no—
1300#102—791no—
1301#102—791no—
1302#102C22×D7911yescharacteristic
1303#102C22×D7911yescharacteristic
1304#102C22×D7911yescharacteristic
1305#102C22×D7911yescharacteristic
1306#102C22×D7911yescharacteristic
1307#102C22×D7911yescharacteristic
1308#97—791no—
1309#97—791no—
1310#97—791no—
1311#97—791no—
1312#97—791no—
1313#97—791no—
1314#97C22×D7911yescharacteristic
1315#97C22×D7911yescharacteristic
1316C4×C8—791no—
1317C4×C8—791no—
1318C4×C8—791no—
1319C4×C8C22×D7911yescharacteristic
1320C24—1581no—
1321C24—1581no—
1322C2×Q8—21no—
1323C2×Q8—3164no—
1324C2×Q8—3162no—
1325C2×Q8—791no—
1326C2×Q8—791no—
1327C2×Q8—791no—
1328C2×Q8—794no—
1329C2×Q8—791no—
1330C2×Q8—791no—
1331C2×Q8—1581no—
1332C2×Q8—1581no—
1333C2×Q8—1581no—
1334C2×Q8—1581no—
1335C2×Q8—1582no—
1336C2×Q8—1582no—
1337C2×Q8—1582no—
1338C2×Q8—1581no—
1339C2×Q8D4×D7911yescharacteristic
1340C2×Q8C23×D7911yescharacteristic
1341C2×Q8C23×D7911yescharacteristic
1342C2×D4—21no—
1343C2×D4—21no—
1344C2×D4—3164no—
1345C2×D4—791no—
1346C2×D4—791no—
1347C2×D4—6322no—
1348C2×D4—1582no—
1349C2×D4—1582no—
1350C2×D4—1582no—
1351C2×D4—1582no—
1352C2×D4—1581no—
1353C2×D4—1581no—
1354C2×D4—1581no—
1355C2×D4—1581no—
1356C2×D4—1581no—
1357C2×D4—1581no—
1358C2×D4—1581no—
1359C2×D4—1581no—
1360C2×D4C23×D7911yescharacteristic
1361C2×D4C23×D7911yescharacteristic
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—791no—
1365C22×C4—791no—
1366C22×C4—791no—
1367C22×C4—791no—
1368C22×C4—791no—
1369C22×C4—791no—
1370C22×C4—791no—
1371C22×C4—6322no—
1372C22×C4—6322no—
1373C22×C4—1581no—
1374C22×C4—1581no—
1375C22×C4—1581no—
1376C22×C4—1581no—
1377C22×C4—1581no—
1378C22×C4—1581no—
1379C22×C4—1581no—
1380C22×C4—1581no—
1381C22×C4—1581no—
1382C22×C4—1581no—
1383C22×C4—1581no—
1384C22×C4—1581no—
1385Q16—22no—
1386Q16—1582no—
1387Q16—1582no—
1388Q16—1582no—
1389SD16—22no—
1390SD16—22no—
1391SD16—1582no—
1392SD16—1582no—
1393SD16—1582no—
1394SD16—1582no—
1395SD16—1582no—
1396SD16—1582no—
1397C2×C8—791no—
1398C2×C8—791no—
1399C2×C8—791no—
1400C2×C8—791no—
1401C2×C8—1582no—
1402C2×C8—1582no—
1403C2×C8—1582no—
1404C2×C8—1582no—
1405C2×C8C23×D7911yescharacteristic
1406C2×C8C23×D7911yescharacteristic
1407C2×C8C23×D7911yescharacteristic
1408C2×C8C23×D7911yescharacteristic
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—791no—
1419C4⋊C4—791no—
1420C4⋊C4—791no—
1421C4⋊C4—791no—
1422C4⋊C4—791no—
1423C4⋊C4—791no—
1424C4⋊C4—791no—
1425C4⋊C4—791no—
1426C4⋊C4—791no—
1427C4⋊C4—791no—
1428C4⋊C4—791no—
1429C4⋊C4—791no—
1430C4⋊C4—791no—
1431C4⋊C4—1581no—
1432C4⋊C4—1581no—
1433C4⋊C4—1581no—
1434C4⋊C4—1581no—
1435C4⋊C4—1581no—
1436C4⋊C4—1581no—
1437C4⋊C4—1581no—
1438C4⋊C4—1581no—
1439C4⋊C4—1581no—
1440C4⋊C4—1581no—
1441C4⋊C4—1581no—
1442C4⋊C4—1581no—
1443C4⋊C4—1581no—
1444C4⋊C4—1581no—
1445C4⋊C4—1581no—
1446C4⋊C4—1581no—
1447C4⋊C4—1581no—
1448C4⋊C4—1581no—
1449C4⋊C4—1581no—
1450C4⋊C4—1581no—
1451C4⋊C4—1581no—
1452C4⋊C4—1581no—
1453C4⋊C4—1581no—
1454C4⋊C4—1581no—
1455C4⋊C4—1581no—
1456C4⋊C4—1581no—
1457C4⋊C4—1581no—
1458C4⋊C4—1581no—
1459C4⋊C4—1581no—
1460C4⋊C4—1581no—
1461C4⋊C4—1581no—
1462C4⋊C4D4×D7911yescharacteristic
1463C4⋊C4D4×D7911yescharacteristic
1464C4⋊C4D4×D7911yescharacteristic
1465C4⋊C4C23×D7911yescharacteristic
1466C4⋊C4C23×D7911yescharacteristic
1467C4⋊C4C23×D7911yescharacteristic
1468C4⋊C4C23×D7911yescharacteristic
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—1581no—
1476C22⋊C4—1581no—
1477C22⋊C4—1581no—
1478C22⋊C4—1581no—
1479C22⋊C4—1581no—
1480C22⋊C4—1581no—
1481C22⋊C4—1581no—
1482C22⋊C4—1581no—
1483C22⋊C4—1581no—
1484C22⋊C4—1581no—
1485C22⋊C4—1581no—
1486C22⋊C4—1581no—
1487C22⋊C4—1581no—
1488C22⋊C4—1581no—
1489C22⋊C4—1581no—
1490C22⋊C4—1581no—
1491C22⋊C4—1581no—
1492C22⋊C4—1581no—
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—21no—
1497C42—791no—
1498C42—791no—
1499C42—791no—
1500C42—791no—
1501C42—791no—
1502C42—791no—
1503C42—791no—
1504C42—791no—
1505C42—791no—
1506C42—1581no—
1507C42—1581no—
1508C42—1581no—
1509C42—1581no—
1510C42—1581no—
1511C42—1581no—
1512C42—1581no—
1513C42—1581no—
1514C42—1581no—
1515C42—1581no—
1516C42—1581no—
1517C42—1581no—
1518C42C23×D7911yescharacteristic
1519C42C23×D7911yescharacteristic
1520C42C23×D7911yescharacteristic
1521C23—21no—
1522C23—21no—
1523C23—3162no—
1524C23—3162no—
1525C23—3162no—
1526C23—3162no—
1527C23—3162no—
1528C23—3162no—
1529C23—791no—
1530C23—1581no—
1531C23—1581no—
1532Q8—21no—
1533Q8—21no—
1534Q8—21no—
1535Q8—41no—
1536Q8—42no—
1537Q8—3162no—
1538Q8—3161no—
1539Q8—3161no—
1540Q8—3161no—
1541Q8—3162no—
1542Q8—3162no—
1543Q8—3162no—
1544Q8—792no—
1545Q8—1584no—
1546Q8—1581no—
1547Q8—1581no—
1548Q8—1581no—
1549Q8#41×D7912yes—
1550D4—21no—
1551D4—21no—
1552D4—21no—
1553D4—21no—
1554D4—42no—
1555D4—81no—
1556D4—3162no—
1557D4—3162no—
1558D4—3162no—
1559D4—3162no—
1560D4—3162no—
1561D4—6321no—
1562D4—6321no—
1563D4—6321no—
1564D4—1581no—
1565D4—1581no—
1566D4—1581no—
1567D4—1581no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—81no—
1575C2×C4—81no—
1576C2×C4—3162no—
1577C2×C4—3162no—
1578C2×C4—3162no—
1579C2×C4—3162no—
1580C2×C4—3162no—
1581C2×C4—791no—
1582C2×C4—792no—
1583C2×C4—792no—
1584C2×C4—791no—
1585C2×C4—791no—
1586C2×C4—791no—
1587C2×C4—791no—
1588C2×C4—791no—
1589C2×C4—791no—
1590C2×C4—6321no—
1591C2×C4—6321no—
1592C2×C4—6321no—
1593C2×C4—6321no—
1594C2×C4—6321no—
1595C2×C4—6321no—
1596C2×C4—1582no—
1597C2×C4—1582no—
1598C2×C4—1582no—
1599C2×C4—1582no—
1600C2×C4—1582no—
1601C2×C4—1582no—
1602C2×C4—1584no—
1603C2×C4—1581no—
1604C2×C4—1581no—
1605C2×C4—1581no—
1606C2×C4—1581no—
1607C2×C4—1581no—
1608C2×C4—1581no—
1609C2×C4C2×D4×D7911yescharacteristic
1610C2×C4C2×D4×D7911yescharacteristic
1611C2×C4C2×D4×D7911yescharacteristic
1612C2×C4C2×D4×D7911yescharacteristic
1613C2×C4C2×D4×D7911yescharacteristic
1614C2×C4C2×D4×D7911yescharacteristic
1615C2×C4C24×D7911yescharacteristic
1616C8—21no—
1617C8—21no—
1618C8—21no—
1619C8—21no—
1620C8—1581no—
1621C8—1581no—
1622C8—1581no—
1623C8—1581no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—3161no—
1631C22—3161no—
1632C22—3161no—
1633C22—3161no—
1634C22—3161no—
1635C22—3161no—
1636C22—792no—
1637C22—792no—
1638C22—792no—
1639C22—6324no—
1640C22—6324no—
1641C22C22×D4×D7911yescharacteristic
1642C4—22no—
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—3161no—
1655C4—3161no—
1656C4—3161no—
1657C4—3161no—
1658C4—3161no—
1659C4—792no—
1660C4—1582no—
1661C4—1581no—
1662C4—1581no—
1663C4—1581no—
1664C4—1581no—
1665C4—1581no—
1666C4—1581no—
1667C4C2×#41×D7911yescharacteristic
1668C42−1+4×D7911yescharacteristic
1669C2—81no—
1670C2—81no—
1671C2—794no—
1672C2—6321no—
1673C2—6321no—
1674C2#548×D7911yescharacteristic
1675C2#575×D7911yescharacteristic
1676C2#577×D7911yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3371C2
socleC22×C79C23×D4
prime radical#127×D79C22
hypercenter#3371D79
hypocenterC79C2×#3371
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3371

Complements

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

NH ≅ G/Ntype
2. #557×D79C2semidirect
3. #23776175C2semidirect
4. #23776174C2semidirect
5. #23776173C2semidirect
6. #23776172C2semidirect
7. #23776171C2semidirect
8. #23776170C2semidirect
9. #23776169C2semidirect
10. #23776168C2semidirect
11. #23776167C2semidirect
12. #23776166C2semidirect
13. #23776165C2semidirect
14. #23776164C2semidirect
15. #23776163C2semidirect
16. #23776162C2semidirect
17. #23776161C2semidirect
19. #489×D79C2semidirect
20. #488×D79C2semidirect
21. #479×D79C2semidirect
22. #478×D79C2semidirect
23. #476×D79C2semidirect
24. #464×D79C2semidirect
25. #464×D79C2semidirect
27. #446×D79C2semidirect
28. #441×D79C2semidirect
29. #440×D79C2semidirect
30. C4×SD16×D79C2semidirect
31. C79×#3371C2semidirect
46. #19099292C22semidirect
48. #19099291C22semidirect
51. #19099290C22semidirect
52. #19099290C22semidirect
53. #19099289C22semidirect
54. #19099289C22semidirect
56. #19099288C22semidirect
85. #19098925C22semidirect
86. #19098924C22semidirect
87. #19098924C22semidirect
88. #19098923C22semidirect
89. #19098922C22semidirect
90. #19098921C22semidirect
91. #19098921C22semidirect
92. #19098920C22semidirect
93. #19098919C22semidirect
94. #19098919C22semidirect
95. #19098918C22semidirect
96. #19098917C22semidirect
97. #19098916C22semidirect
98. #19098916C22semidirect
99. #19098873C22semidirect
100. #19098872C22semidirect
101. #19098871C22semidirect
102. #19098870C22semidirect
103. #19098869C22semidirect
104. #19098868C22semidirect
105. #19098867C22semidirect
106. #19098866C22semidirect
107. #19098865C22semidirect
108. #19098864C22semidirect
109. #19098863C22semidirect
110. #19098862C22semidirect
111. #19098861C22semidirect
112. #19098860C22semidirect
113. #19098854C22semidirect
114. #19098853C22semidirect
115. #19098852C22semidirect
116. #19098852C22semidirect
117. #19098851C22semidirect
118. #19098851C22semidirect
119. #19098850C22semidirect
120. #19098788C22semidirect
121. #19098788C22semidirect
122. #19098787C22semidirect
123. #19098787C22semidirect
124. #19098786C22semidirect
125. #19098786C22semidirect
126. #19098785C22semidirect
127. #19098785C22semidirect
128. #19098784C22semidirect
129. #19098784C22semidirect
130. #19098783C22semidirect
131. #19098783C22semidirect
132. #19098782C22semidirect
133. #19098782C22semidirect
141. #19098694C22semidirect
142. #19098693C22semidirect
143. #19098692C22semidirect
144. #19098692C22semidirect
145. #19098691C22semidirect
146. #19098691C22semidirect
147. #19098690C22semidirect
148. #19098671C22semidirect
149. #19098670C22semidirect
150. #19098669C22semidirect
151. #19098668C22semidirect
152. #19098668C22semidirect
153. #19098667C22semidirect
154. #19098667C22semidirect
155. #19098666C22semidirect
156. #19098665C22semidirect
157. #19098664C22semidirect
158. #19098663C22semidirect
159. #19098662C22semidirect
160. #19098661C22semidirect
161. #19098660C22semidirect
162. #19098654C22semidirect
163. C4×#11929613C22semidirect
164. SD16×Dic79C22semidirect
165. C4×#11929611C22semidirect
166. #19098650C22semidirect
167. C4×#11929612C22semidirect
168. #19098648C22semidirect
189. #557×C79C22semidirect
191. #489×C79C22semidirect
192. #488×C79C22semidirect
193. #479×C79C22semidirect
194. #478×C79C22semidirect
195. #476×C79C22semidirect
196. #464×C79C22semidirect
197. #464×C79C22semidirect
199. #446×C79C22semidirect
200. #441×C79C22semidirect
201. #440×C79C22semidirect
202. C4×SD16×C79C22semidirect
838. D79#3371direct (N × H)
856. #3371D79direct (N × H)
870. C79C2×#3371semidirect
897. #557C2×D79semidirect
934. #489C2×D79semidirect
942. #488C2×D79semidirect
950. #479C2×D79semidirect
958. #478C2×D79semidirect
966. #476C2×D79semidirect
981. #464C2×D79semidirect
982. #464C2×D79semidirect
998. #446C2×D79semidirect
1006. #441C2×D79semidirect
1014. #440C2×D79semidirect
1022. C4×SD16C2×D79semidirect

Maximal subgroups

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

subgroupindex
#559×D792
#557×D792
#237761752
#237761742
#237761732
#237761722
#237761712
#237761702
#237761692
#237761682
#237761672
#237761662
#237761652
#237761642
#237761632
#237761622
#237761612
#490×D792
#489×D792
#488×D792
#479×D792
#478×D792
#476×D792
#464×D792
#460×D792
#446×D792
#441×D792
#440×D792
C4×SD16×D792
C79×#33712
C2×#337179