Finite Group Databasebeta

← C83×#61454 #35289278

Subgroups — C83×#61454 #35289278

Order 21248.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#3481C211yesmaximal, characteristic, complemented
2C83×#3475C211yesmaximal, characteristic, complemented
3C83×#3401C211yesmaximal, characteristic, complemented
4C83×#3389C211yesmaximal, characteristic, complemented
5C83×#3376C211yesmaximal, characteristic, complemented
6C83×#3370C211yesmaximal, characteristic, complemented
7C83×#3347C211yesmaximal, characteristic, complemented
8C83×#3344C211yesmaximal, characteristic, complemented
9C83×#3337C211yesmaximal, characteristic, complemented
10C83×#3319C211yesmaximal, characteristic, complemented
11C83×#3314C211yesmaximal, characteristic, complemented
12C83×#3310C211yesmaximal, characteristic, complemented
13C83×#3307C211yesmaximal, characteristic, complemented
14C83×#3297C211yesmaximal, characteristic, complemented
15C83×#3296C211yesmaximal, characteristic, complemented
16C83×#3280C211yesmaximal, characteristic, complemented
17C83×#3267C211yesmaximal, characteristic, complemented
18C83×#3264C211yesmaximal, characteristic, complemented
19C83×#3183C211yesmaximal, characteristic, complemented
20C83×#3181C211yesmaximal, characteristic, complemented
21C83×#3180C211yesmaximal, characteristic, complemented
22C83×#3115C211yesmaximal, characteristic, complemented
23C83×#3114C211yesmaximal, characteristic, complemented
24C83×#3114C211yesmaximal, characteristic, complemented
25C83×#3111C211yesmaximal, characteristic, complemented
26C83×#3111C211yesmaximal, characteristic, complemented
27C83×#3110C211yesmaximal, characteristic, complemented
28C83×#2970C211yesmaximal, characteristic, complemented
29C4×AGL(1,ℤ/8)×C83C211yesmaximal, characteristic, complemented
30C83×#2943C211yesmaximal, characteristic, complemented
31C2×#442×C83C211yesmaximal, characteristic, complemented
32C2×AGL(1,ℤ/8)×C83C2211yescharacteristic
33C2×#135×C83C2211yescharacteristic
34C22×D8×C83C2211yescharacteristic
35#559×C83C2211yescharacteristic, complemented
36#556×C83C2211yescharacteristic, complemented
37#555×C83C2211yescharacteristic, complemented
38#554×C83C2211yescharacteristic
39#554×C83C2211yescharacteristic, complemented
40#554×C83C2211yescharacteristic, complemented
41#553×C83—21no—
42#553×C83—21no—
43#553×C83C2211yescharacteristic
44#553×C83C2211yescharacteristic, complemented
45#552×C83—21no—
46#552×C83C2211yescharacteristic
47#552×C83C2211yescharacteristic, complemented
48#551×C83—21no—
49#551×C83—21no—
50#551×C83—21no—
51#551×C83—21no—
52#547×C83C2211yescharacteristic, complemented
53#546×C83—21no—
54#546×C83C2211yescharacteristic
55#546×C83C2211yescharacteristic
56#546×C83C2211yescharacteristic, complemented
57#546×C83C2211yescharacteristic, complemented
58D42×C83C2211yescharacteristic
59#533×C83C2211yescharacteristic, complemented
60#532×C83C2211yescharacteristic, complemented
61#529×C83—21no—
62#529×C83—21no—
63#529×C83—21no—
64#529×C83C2211yescharacteristic
65#529×C83C2211yescharacteristic, complemented
66#529×C83C2211yescharacteristic, complemented
67#529×C83C2211yescharacteristic, complemented
68#525×C83—21no—
69#525×C83—21no—
70#525×C83—21no—
71C4×#41×C83C2211yescharacteristic
72C4×#41×C83C2211yescharacteristic, complemented
73C4×#41×C83C2211yescharacteristic, complemented
74C4×#41×C83C2211yescharacteristic, complemented
75C2×C4×D4×C83—21no—
76C2×C4×D4×C83C2211yescharacteristic
77C2×C4×D4×C83C2211yescharacteristic, complemented
78C2×C4×D4×C83C2211yescharacteristic, complemented
79C2×#117×C83—21no—
80#501×C83C2211yescharacteristic, complemented
81#501×C83C2211yescharacteristic, complemented
82#499×C83C2211yescharacteristic, complemented
83#497×C83C2211yescharacteristic, complemented
84#496×C83C2211yescharacteristic
85#495×C83C2211yescharacteristic, complemented
86#491×C83C2211yescharacteristic, complemented
87#490×C83C2211yescharacteristic, complemented
88#489×C83C2211yescharacteristic, complemented
89#489×C83C2211yescharacteristic, complemented
90#488×C83C2211yescharacteristic, complemented
91#488×C83C2211yescharacteristic, complemented
92#485×C83C2211yescharacteristic, complemented
93#485×C83C2211yescharacteristic, complemented
94#484×C83C2211yescharacteristic, complemented
95#484×C83C2211yescharacteristic, complemented
96#483×C83C2211yescharacteristic, complemented
97#483×C83C2211yescharacteristic, complemented
98#482×C83C2211yescharacteristic, complemented
99#482×C83C2211yescharacteristic, complemented
100#482×C83C2211yescharacteristic, complemented
101#482×C83C2211yescharacteristic, complemented
102#480×C83C2211yescharacteristic
103#480×C83C2211yescharacteristic, complemented
104#479×C83C2211yescharacteristic, complemented
105#479×C83C2211yescharacteristic, complemented
106#478×C83C2211yescharacteristic, complemented
107#478×C83C2211yescharacteristic, complemented
108#478×C83C2211yescharacteristic, complemented
109#478×C83C2211yescharacteristic, complemented
110#478×C83C2211yescharacteristic, complemented
111#478×C83C2211yescharacteristic, complemented
112#475×C83C2211yescharacteristic, complemented
113#474×C83C2211yescharacteristic, complemented
114#474×C83C2211yescharacteristic, complemented
115#474×C83C2211yescharacteristic, complemented
116#470×C83C2211yescharacteristic, complemented
117#469×C83C2211yescharacteristic
118#468×C83C2211yescharacteristic, complemented
119#468×C83C2211yescharacteristic, complemented
120#467×C83C2211yescharacteristic, complemented
121#467×C83C2211yescharacteristic, complemented
122#466×C83C2211yescharacteristic, complemented
123#466×C83C2211yescharacteristic, complemented
124#465×C83C2211yescharacteristic
125#465×C83C2211yescharacteristic
126#465×C83C2211yescharacteristic, complemented
127#465×C83C2211yescharacteristic, complemented
128#464×C83C2211yescharacteristic, complemented
129#464×C83C2211yescharacteristic, complemented
130#463×C83C2211yescharacteristic
131#463×C83C2211yescharacteristic
132#463×C83C2211yescharacteristic, complemented
133#463×C83C2211yescharacteristic, complemented
134#463×C83C2211yescharacteristic, complemented
135#463×C83C2211yescharacteristic, complemented
136#461×C83C2211yescharacteristic, complemented
137#461×C83C2211yescharacteristic, complemented
138#460×C83C2211yescharacteristic, complemented
139#459×C83C2211yescharacteristic
140#452×C83C2211yescharacteristic, complemented
141#452×C83C2211yescharacteristic, complemented
142#450×C83C2211yescharacteristic
143#450×C83C2211yescharacteristic
144#450×C83C2211yescharacteristic, complemented
145#450×C83C2211yescharacteristic, complemented
146#449×C83C2211yescharacteristic
147#449×C83C2211yescharacteristic
148#449×C83C2211yescharacteristic, complemented
149#449×C83C2211yescharacteristic, complemented
150#447×C83C2211yescharacteristic
151#447×C83C2211yescharacteristic
152#446×C83C2211yescharacteristic, complemented
153#446×C83C2211yescharacteristic, complemented
154#442×C83C2211yescharacteristic
155#442×C83C2211yescharacteristic
156#442×C83C2211yescharacteristic
157#442×C83C2211yescharacteristic
158#442×C83C2211yescharacteristic
159#442×C83C2211yescharacteristic, complemented
160#442×C83C2211yescharacteristic, complemented
161#442×C83C2211yescharacteristic, complemented
162#442×C83C2211yescharacteristic, complemented
163#442×C83C2211yescharacteristic, complemented
164#442×C83C2211yescharacteristic, complemented
165#441×C83C2211yescharacteristic, complemented
166#441×C83C2211yescharacteristic, complemented
167#441×C83C2211yescharacteristic, complemented
168#440×C83C2211yescharacteristic, complemented
169#440×C83C2211yescharacteristic, complemented
170#440×C83C2211yescharacteristic, complemented
171#440×C83C2211yescharacteristic, complemented
172#440×C83C2211yescharacteristic, complemented
173#440×C83C2211yescharacteristic, complemented
174#440×C83C2211yescharacteristic, complemented
175#440×C83C2211yescharacteristic, complemented
176#440×C83C2211yescharacteristic, complemented
177#440×C83C2211yescharacteristic, complemented
178C4×SD16×C83C2211yescharacteristic, complemented
179C4×SD16×C83C2211yescharacteristic, complemented
180C4×D8×C83C2211yescharacteristic
181C4×D8×C83C2211yescharacteristic, complemented
182#435×C83C2211yescharacteristic
183#435×C83C2211yescharacteristic
184#435×C83C2211yescharacteristic, complemented
185#435×C83C2211yescharacteristic, complemented
186C8×D4×C83C2211yescharacteristic, complemented
187C8×D4×C83C2211yescharacteristic, complemented
188#432×C83C2211yescharacteristic, complemented
189#432×C83C2211yescharacteristic, complemented
190#432×C83C2211yescharacteristic, complemented
191#428×C83C2211yescharacteristic, complemented
192#427×C83C2211yescharacteristic, complemented
193C2×#106×C83C2211yescharacteristic, complemented
194#418×C83C2211yescharacteristic, complemented
195#417×C83C2211yescharacteristic, complemented
196#416×C83C2211yescharacteristic, complemented
197#416×C83C2211yescharacteristic, complemented
198C2×#102×C83C2211yescharacteristic
199C2×#102×C83C2211yescharacteristic, complemented
200C4×M16×C83C2211yescharacteristic, complemented
201C2×#97×C83C2211yescharacteristic, complemented
202C2×#97×C83C2211yescharacteristic, complemented
203C2×#41×C83—21no—
204C2×#41×C83D411yescharacteristic
205C2×#41×C83C2311yescharacteristic
206C2×#41×C83C2311yescharacteristic
207C2×#41×C83C2311yescharacteristic
208C22×D4×C83—21no—
209C22×D4×C83C2311yescharacteristic
210C22×D4×C83C2311yescharacteristic
211C22×D4×C83C2311yescharacteristic
212C23×C4×C83—21no—
213C23×C4×C83—21no—
214C23×C4×C83—21no—
215AGL(1,ℤ/8)×C83—24no—
216#135×C83—24no—
217C2×Q16×C83C2311yescharacteristic
218C2×Q16×C83C2311yescharacteristic
219C2×SD16×C83C2311yescharacteristic
220C2×SD16×C83C2311yescharacteristic
221C2×SD16×C83C2311yescharacteristic
222C2×SD16×C83C2311yescharacteristic
223C2×SD16×C83C2311yescharacteristic
224C2×SD16×C83C2311yescharacteristic
225C2×SD16×C83C2311yescharacteristic
226C2×SD16×C83C2311yescharacteristic
227C2×D8×C83—24no—
228C2×D8×C83C2311yescharacteristic
229C2×D8×C83C2311yescharacteristic
230C2×D8×C83C2311yescharacteristic
231C2×D8×C83C2311yescharacteristic
232C2×D8×C83C2311yescharacteristic
233C2×D8×C83C2311yescharacteristic
234C2×M16×C83C2311yescharacteristic
235C2×M16×C83C2311yescharacteristic
236C22×C8×C83C2311yescharacteristic
237C22×C8×C83C2311yescharacteristic
238C22×C8×C83C2311yescharacteristic
239C22×C8×C83C2311yescharacteristic
240C4⋊Q8×C83C2311yescharacteristic
241C4⋊Q8×C83C2311yescharacteristic
242C4⋊Q8×C83C2311yescharacteristic
243#127×C83C2311yescharacteristic
244#126×C83—21no—
245#126×C83—21no—
246#126×C83—21no—
247#126×C83—21no—
248#126×C83—21no—
249#126×C83—21no—
250#126×C83—21no—
251#126×C83—21no—
252#126×C83—21no—
253#126×C83—21no—
254#125×C83—21no—
255#125×C83—21no—
256#125×C83—21no—
257#125×C83—21no—
258#125×C83C2311yescharacteristic
259#125×C83C2311yescharacteristic
260#125×C83C2311yescharacteristic
261#125×C83C2311yescharacteristic
262#124×C83—21no—
263#124×C83—21no—
264#124×C83—21no—
265#124×C83—21no—
266#124×C83C2311yescharacteristic
267#124×C83C2311yescharacteristic
268#124×C83C2311yescharacteristic
269#124×C83C2311yescharacteristic
270#123×C83—21no—
271#123×C83—21no—
272#123×C83—21no—
273#123×C83—21no—
274#123×C83—21no—
275#123×C83—21no—
276#123×C83—21no—
277#123×C83—21no—
278#123×C83—21no—
279#123×C83—21no—
280#123×C83—21no—
281#123×C83—21no—
282#123×C83—21no—
283#123×C83—21no—
284#123×C83—21no—
285#123×C83—21no—
286C22⋊Q8×C83—21no—
287C22⋊Q8×C83—21no—
288C22⋊Q8×C83—21no—
289C22⋊Q8×C83—21no—
290C22⋊Q8×C83—21no—
291C22⋊Q8×C83—21no—
292C22⋊Q8×C83—21no—
293C22⋊Q8×C83—21no—
294C22⋊Q8×C83—21no—
295C22⋊Q8×C83—21no—
296C22⋊Q8×C83C2311yescharacteristic
297C22⋊Q8×C83C2311yescharacteristic
298C22⋊Q8×C83C2311yescharacteristic
299C22⋊Q8×C83C2311yescharacteristic
300C22⋊Q8×C83C2311yescharacteristic
301C22⋊Q8×C83C2311yescharacteristic
302#121×C83—21no—
303#121×C83—21no—
304#121×C83—21no—
305#121×C83—21no—
306#121×C83—21no—
307#121×C83—21no—
308#121×C83—21no—
309#121×C83—21no—
310#121×C83—21no—
311#121×C83—21no—
312#121×C83C2311yescharacteristic
313#121×C83C2311yescharacteristic
314#121×C83C2311yescharacteristic
315#121×C83C2311yescharacteristic
316#121×C83C2311yescharacteristic
317#121×C83C2311yescharacteristic
318#120×C83—21no—
319#120×C83—21no—
320#120×C83—21no—
321#120×C83—21no—
322#120×C83—21no—
323#120×C83—21no—
324C4×Q8×C83—21no—
325C4×Q8×C83D411yescharacteristic
326C4×Q8×C83C2311yescharacteristic
327C4×Q8×C83C2311yescharacteristic
328C4×Q8×C83C2311yescharacteristic
329C4×Q8×C83C2311yescharacteristic
330C4×Q8×C83C2311yescharacteristic
331C4×Q8×C83C2311yescharacteristic
332C4×Q8×C83C2311yescharacteristic
333C4×D4×C83—21no—
334C4×D4×C83—21no—
335C4×D4×C83—21no—
336C4×D4×C83—21no—
337C4×D4×C83—21no—
338C4×D4×C83—21no—
339C4×D4×C83—21no—
340C4×D4×C83—21no—
341C4×D4×C83—21no—
342C4×D4×C83—21no—
343C4×D4×C83—21no—
344C4×D4×C83—21no—
345C4×D4×C83—21no—
346C4×D4×C83—21no—
347C4×D4×C83—21no—
348C4×D4×C83—21no—
349C4×D4×C83—21no—
350C4×D4×C83—21no—
351C4×D4×C83—21no—
352C4×D4×C83—21no—
353C4×D4×C83—21no—
354C4×D4×C83D411yescharacteristic
355C4×D4×C83D411yescharacteristic
356C4×D4×C83D411yescharacteristic
357C4×D4×C83C2311yescharacteristic
358C4×D4×C83C2311yescharacteristic
359C4×D4×C83C2311yescharacteristic
360C4×D4×C83C2311yescharacteristic
361C4×D4×C83C2311yescharacteristic
362C4×D4×C83C2311yescharacteristic
363C4×D4×C83C2311yescharacteristic
364C4×D4×C83C2311yescharacteristic
365C4×D4×C83C2311yescharacteristic
366C4×D4×C83C2311yescharacteristic
367C4×D4×C83C2311yescharacteristic
368C4×D4×C83C2311yescharacteristic
369C4×D4×C83C2311yescharacteristic
370C4×D4×C83C2311yescharacteristic
371C4×D4×C83C2311yescharacteristic
372C4×D4×C83C2311yescharacteristic
373C4×D4×C83C2311yescharacteristic
374#117×C83—21no—
375#117×C83—21no—
376#117×C83—21no—
377#117×C83—21no—
378#117×C83—21no—
379#117×C83—21no—
380#117×C83—21no—
381#117×C83—21no—
382#117×C83—21no—
383#117×C83—21no—
384#117×C83—21no—
385#117×C83—21no—
386#117×C83D411yescharacteristic
387#117×C83D411yescharacteristic
388#117×C83D411yescharacteristic
389#117×C83C2311yescharacteristic
390#117×C83C2311yescharacteristic
391#117×C83C2311yescharacteristic
392C2×C4⋊C4×C83—21no—
393C2×C4⋊C4×C83—21no—
394C2×C4⋊C4×C83—21no—
395C2×C4⋊C4×C83C2311yescharacteristic
396C2×C4⋊C4×C83C2311yescharacteristic
397C2×C4⋊C4×C83C2311yescharacteristic
398C2×C22⋊C4×C83—21no—
399C2×C22⋊C4×C83—21no—
400C2×C22⋊C4×C83—21no—
401C2×C22⋊C4×C83—21no—
402C2×C22⋊C4×C83—21no—
403C2×C22⋊C4×C83—21no—
404C2×C22⋊C4×C83—21no—
405C2×C42×C83—21no—
406C2×C42×C83—21no—
407C2×C42×C83—21no—
408C2×C42×C83C2311yescharacteristic
409C2×C42×C83C2311yescharacteristic
410C2×C42×C83C2311yescharacteristic
411#107×C83C2311yescharacteristic
412#107×C83C2311yescharacteristic
413#107×C83C2311yescharacteristic
414#107×C83C2311yescharacteristic
415#107×C83C2311yescharacteristic
416#107×C83C2311yescharacteristic
417#107×C83C2311yescharacteristic
418#107×C83C2311yescharacteristic
419#106×C83C2311yescharacteristic
420#106×C83C2311yescharacteristic
421#106×C83C2311yescharacteristic
422#106×C83C2311yescharacteristic
423#106×C83C2311yescharacteristic
424#106×C83C2311yescharacteristic
425#106×C83C2311yescharacteristic
426#106×C83C2311yescharacteristic
427C4⋊C8×C83C2311yescharacteristic
428C4⋊C8×C83C2311yescharacteristic
429C4⋊C8×C83C2311yescharacteristic
430C4⋊C8×C83C2311yescharacteristic
431C4⋊C8×C83C2311yescharacteristic
432C4⋊C8×C83C2311yescharacteristic
433#103×C83C2311yescharacteristic
434#103×C83C2311yescharacteristic
435#103×C83C2311yescharacteristic
436#103×C83C2311yescharacteristic
437#103×C83C2311yescharacteristic
438#103×C83C2311yescharacteristic
439#103×C83C2311yescharacteristic
440#103×C83C2311yescharacteristic
441#103×C83C2311yescharacteristic
442#103×C83C2311yescharacteristic
443#103×C83C2311yescharacteristic
444#103×C83C2311yescharacteristic
445#102×C83C2311yescharacteristic
446#102×C83C2311yescharacteristic
447#102×C83C2311yescharacteristic
448#102×C83C2311yescharacteristic
449#102×C83C2311yescharacteristic
450#102×C83C2311yescharacteristic
451#102×C83C2311yescharacteristic
452#102×C83C2311yescharacteristic
453#102×C83C2311yescharacteristic
454#102×C83C2311yescharacteristic
455#102×C83C2311yescharacteristic
456#102×C83C2311yescharacteristic
457#102×C83C2311yescharacteristic
458#102×C83C2311yescharacteristic
459#102×C83C2311yescharacteristic
460#102×C83C2311yescharacteristic
461#102×C83C2311yescharacteristic
462#102×C83C2311yescharacteristic
463#102×C83C2311yescharacteristic
464#102×C83C2311yescharacteristic
465C22⋊C8×C83C2311yescharacteristic
466C22⋊C8×C83C2311yescharacteristic
467C22⋊C8×C83C2311yescharacteristic
468C22⋊C8×C83C2311yescharacteristic
469C22⋊C8×C83C2311yescharacteristic
470C22⋊C8×C83C2311yescharacteristic
471#97×C83C2311yescharacteristic
472#97×C83C2311yescharacteristic
473#97×C83C2311yescharacteristic
474#97×C83C2311yescharacteristic
475#97×C83C2311yescharacteristic
476#97×C83C2311yescharacteristic
477#97×C83C2311yescharacteristic
478#97×C83C2311yescharacteristic
479C4×C8×C83C2311yescharacteristic
480C4×C8×C83C2311yescharacteristic
481C24×C83—21no—
482C24×C83—21no—
483C24×C83—21no—
484#41×C83—22no—
485#41×C83—22no—
486#41×C83—22no—
487#41×C83—42no—
488#41×C83—41no—
489#41×C83—41no—
490#41×C83—41no—
491#41×C83—82no—
492C2×Q8×C83—21no—
493C2×Q8×C83—21no—
494C2×Q8×C83C2×D411yescharacteristic
495C2×Q8×C83C2411yescharacteristic
496C2×Q8×C83C2411yescharacteristic
497C2×Q8×C83C2411yescharacteristic
498C2×D4×C83—22no—
499C2×D4×C83—22no—
500C2×D4×C83—22no—
501C2×D4×C83—21no—
502C2×D4×C83—21no—
503C2×D4×C83—21no—
504C2×D4×C83—21no—
505C2×D4×C83—21no—
506C2×D4×C83—21no—
507C2×D4×C83—21no—
508C2×D4×C83—21no—
509C2×D4×C83—21no—
510C2×D4×C83—21no—
511C2×D4×C83—21no—
512C2×D4×C83—21no—
513C2×D4×C83—21no—
514C2×D4×C83—21no—
515C2×D4×C83—41no—
516C2×D4×C83—41no—
517C2×D4×C83—41no—
518C2×D4×C83—44no—
519C2×D4×C83C2×D411yescharacteristic
520C2×D4×C83C2×D411yescharacteristic
521C2×D4×C83C2×D411yescharacteristic
522C2×D4×C83C2411yescharacteristic
523C2×D4×C83C2411yescharacteristic
524C2×D4×C83C2411yescharacteristic
525C2×D4×C83C2411yescharacteristic
526C2×D4×C83C2411yescharacteristic
527C22×C4×C83—21no—
528C22×C4×C83—21no—
529C22×C4×C83—21no—
530C22×C4×C83—21no—
531C22×C4×C83—21no—
532C22×C4×C83—21no—
533C22×C4×C83—21no—
534C22×C4×C83—21no—
535C22×C4×C83—21no—
536C22×C4×C83—21no—
537C22×C4×C83—21no—
538C22×C4×C83—21no—
539C22×C4×C83—21no—
540C22×C4×C83—21no—
541C22×C4×C83—21no—
542C22×C4×C83—21no—
543C22×C4×C83—21no—
544C22×C4×C83—21no—
545C22×C4×C83—21no—
546C22×C4×C83—21no—
547C22×C4×C83—44no—
548C22×C4×C83—82no—
549C22×C4×C83—82no—
550C22×C4×C83C2×D411yescharacteristic
551C22×C4×C83C2×D411yescharacteristic
552C22×C4×C83C2×D411yescharacteristic
553C22×C4×C83C2×D411yescharacteristic
554C22×C4×C83C2×D411yescharacteristic
555C22×C4×C83C2×D411yescharacteristic
556C22×C4×C83C2411yescharacteristic
557C22×C4×C83C2411yescharacteristic
558C22×C4×C83C2411yescharacteristic
559Q16×C83—22no—
560Q16×C83—41no—
561SD16×C83—22no—
562SD16×C83—22no—
563SD16×C83—22no—
564SD16×C83—22no—
565SD16×C83—41no—
566SD16×C83—41no—
567SD16×C83—41no—
568SD16×C83—41no—
569D8×C83—22no—
570D8×C83—22no—
571D8×C83—22no—
572D8×C83—22no—
573D8×C83—41no—
574D8×C83#4114yescomplemented
575M16×C83—22no—
576M16×C83—41no—
577C2×C8×C83—22no—
578C2×C8×C83—22no—
579C2×C8×C83—41no—
580C2×C8×C83—41no—
581C2×C8×C83C2411yescharacteristic
582C2×C8×C83C2411yescharacteristic
583C2×C8×C83C2411yescharacteristic
584C2×C8×C83C2411yescharacteristic
585C2×C8×C83C2411yescharacteristic
586C2×C8×C83C2411yescharacteristic
587C2×C8×C83C2411yescharacteristic
588C2×C8×C83C2411yescharacteristic
589C4⋊C4×C83—21no—
590C4⋊C4×C83—21no—
591C4⋊C4×C83—21no—
592C4⋊C4×C83—21no—
593C4⋊C4×C83—21no—
594C4⋊C4×C83—21no—
595C4⋊C4×C83—21no—
596C4⋊C4×C83—21no—
597C4⋊C4×C83—21no—
598C4⋊C4×C83—21no—
599C4⋊C4×C83—21no—
600C4⋊C4×C83—21no—
601C4⋊C4×C83—21no—
602C4⋊C4×C83—21no—
603C4⋊C4×C83—21no—
604C4⋊C4×C83—21no—
605C4⋊C4×C83—21no—
606C4⋊C4×C83—21no—
607C4⋊C4×C83—21no—
608C4⋊C4×C83—21no—
609C4⋊C4×C83—21no—
610C4⋊C4×C83—21no—
611C4⋊C4×C83—21no—
612C4⋊C4×C83—21no—
613C4⋊C4×C83—21no—
614C4⋊C4×C83—21no—
615C4⋊C4×C83—21no—
616C4⋊C4×C83C2×D411yescharacteristic
617C4⋊C4×C83C2×D411yescharacteristic
618C4⋊C4×C83C2×D411yescharacteristic
619C4⋊C4×C83C2×D411yescharacteristic
620C4⋊C4×C83C2×D411yescharacteristic
621C4⋊C4×C83C2×D411yescharacteristic
622C4⋊C4×C83C2411yescharacteristic
623C4⋊C4×C83C2411yescharacteristic
624C4⋊C4×C83C2411yescharacteristic
625C4⋊C4×C83C2411yescharacteristic
626C4⋊C4×C83C2411yescharacteristic
627C4⋊C4×C83C2411yescharacteristic
628C4⋊C4×C83C2411yescharacteristic
629C4⋊C4×C83C2411yescharacteristic
630C22⋊C4×C83—21no—
631C22⋊C4×C83—21no—
632C22⋊C4×C83—21no—
633C22⋊C4×C83—21no—
634C22⋊C4×C83—21no—
635C22⋊C4×C83—21no—
636C22⋊C4×C83—21no—
637C22⋊C4×C83—21no—
638C22⋊C4×C83—21no—
639C22⋊C4×C83—21no—
640C22⋊C4×C83—21no—
641C22⋊C4×C83—21no—
642C22⋊C4×C83—21no—
643C22⋊C4×C83—21no—
644C22⋊C4×C83—21no—
645C22⋊C4×C83—21no—
646C22⋊C4×C83—21no—
647C22⋊C4×C83—21no—
648C22⋊C4×C83—21no—
649C22⋊C4×C83—21no—
650C22⋊C4×C83—21no—
651C22⋊C4×C83—21no—
652C22⋊C4×C83—21no—
653C22⋊C4×C83—21no—
654C22⋊C4×C83—21no—
655C22⋊C4×C83—21no—
656C22⋊C4×C83—21no—
657C22⋊C4×C83—21no—
658C22⋊C4×C83—21no—
659C22⋊C4×C83—21no—
660C22⋊C4×C83—21no—
661C22⋊C4×C83—21no—
662C22⋊C4×C83—21no—
663C22⋊C4×C83—21no—
664C22⋊C4×C83—21no—
665C22⋊C4×C83—21no—
666C22⋊C4×C83—21no—
667C22⋊C4×C83C2×D411yescharacteristic
668C22⋊C4×C83C2×D411yescharacteristic
669C22⋊C4×C83C2×D411yescharacteristic
670C22⋊C4×C83C2×D411yescharacteristic
671C22⋊C4×C83C2×D411yescharacteristic
672C22⋊C4×C83C2×D411yescharacteristic
673C42×C83—21no—
674C42×C83—21no—
675C42×C83—21no—
676C42×C83—21no—
677C42×C83—21no—
678C42×C83—21no—
679C42×C83—21no—
680C42×C83—21no—
681C42×C83—21no—
682C42×C83C2×D411yescharacteristic
683C42×C83C2×D411yescharacteristic
684C42×C83C2×D411yescharacteristic
685C42×C83C2×D411yescharacteristic
686C42×C83C2×D411yescharacteristic
687C42×C83C2×D411yescharacteristic
688C42×C83C2411yescharacteristic
689C42×C83C2411yescharacteristic
690C42×C83C2411yescharacteristic
691C42×C83C2411yescharacteristic
692C23×C83—21no—
693C23×C83—21no—
694C23×C83—21no—
695C23×C83—21no—
696C23×C83—21no—
697C23×C83—42no—
698C23×C83—42no—
699C23×C83—42no—
700C23×C83—42no—
701C23×C83—42no—
702C23×C83—42no—
703C23×C83—81no—
704C23×C83—81no—
705C23×C83—81no—
706C23×C83C22×D411yescharacteristic
707C23×C83C22×D411yescharacteristic
708C23×C83C22×D411yescharacteristic
709Q8×C83—21no—
710Q8×C83—21no—
711Q8×C83—21no—
712Q8×C83—21no—
713Q8×C83—21no—
714Q8×C83—21no—
715Q8×C83—41no—
716Q8×C83—81no—
717Q8×C83—81no—
718D4×C83—22no—
719D4×C83—22no—
720D4×C83—21no—
721D4×C83—21no—
722D4×C83—21no—
723D4×C83—21no—
724D4×C83—21no—
725D4×C83—21no—
726D4×C83—21no—
727D4×C83—21no—
728D4×C83—41no—
729D4×C83—42no—
730D4×C83—42no—
731D4×C83—42no—
732D4×C83—42no—
733D4×C83—42no—
734D4×C83—42no—
735D4×C83—42no—
736D4×C83—42no—
737D4×C83—42no—
738D4×C83—81no—
739D4×C83—81no—
740D4×C83—81no—
741D4×C83—81no—
742D4×C83—81no—
743D4×C83C2×#4112yes—
744D4×C83C2×#4112yes—
745C2×C4×C83—22no—
746C2×C4×C83—21no—
747C2×C4×C83—21no—
748C2×C4×C83—21no—
749C2×C4×C83—21no—
750C2×C4×C83—21no—
751C2×C4×C83—21no—
752C2×C4×C83—21no—
753C2×C4×C83—21no—
754C2×C4×C83—21no—
755C2×C4×C83—21no—
756C2×C4×C83—21no—
757C2×C4×C83—21no—
758C2×C4×C83—21no—
759C2×C4×C83—21no—
760C2×C4×C83—21no—
761C2×C4×C83—21no—
762C2×C4×C83—21no—
763C2×C4×C83—41no—
764C2×C4×C83—41no—
765C2×C4×C83—41no—
766C2×C4×C83—41no—
767C2×C4×C83—41no—
768C2×C4×C83—42no—
769C2×C4×C83—42no—
770C2×C4×C83—42no—
771C2×C4×C83—42no—
772C2×C4×C83—42no—
773C2×C4×C83—42no—
774C2×C4×C83—42no—
775C2×C4×C83—42no—
776C2×C4×C83—42no—
777C2×C4×C83—42no—
778C2×C4×C83—42no—
779C2×C4×C83—42no—
780C2×C4×C83—81no—
781C2×C4×C83—81no—
782C2×C4×C83—81no—
783C2×C4×C83—81no—
784C2×C4×C83—81no—
785C2×C4×C83—81no—
786C2×C4×C83—81no—
787C2×C4×C83—81no—
788C2×C4×C83C22×D411yescharacteristic
789C2×C4×C83C22×D411yescharacteristic
790C2×C4×C83C22×D411yescharacteristic
791C2×C4×C83C22×D411yescharacteristic
792C2×C4×C83C22×D411yescharacteristic
793C2×C4×C83C22×D411yescharacteristic
794C2×C4×C83C22×D411yescharacteristic
795C2×C4×C83C22×D411yescharacteristic
796C2×C4×C83C22×D411yescharacteristic
797C2×C4×C83C22×D411yescharacteristic
798C2×C4×C83C22×D411yescharacteristic
799C2×C4×C83C2511yescharacteristic
800C8×C83—21no—
801C8×C83—21no—
802C8×C83—21no—
803C8×C83—21no—
804C8×C83—21no—
805C8×C83—21no—
806C8×C83—21no—
807C8×C83C2×#4112yes—
808C22×C83—21no—
809C22×C83—21no—
810C22×C83—21no—
811C22×C83—21no—
812C22×C83—21no—
813C22×C83—21no—
814C22×C83—22no—
815C22×C83—22no—
816C22×C83—21no—
817C22×C83—21no—
818C22×C83—41no—
819C22×C83—41no—
820C22×C83—41no—
821C22×C83—41no—
822C22×C83—41no—
823C22×C83—41no—
824C22×C83—41no—
825C22×C83—41no—
826C22×C83—41no—
827C22×C83—41no—
828C22×C83—41no—
829C22×C83—41no—
830C22×C83—41no—
831C22×C83—84no—
832C22×C83—84no—
833C22×C83—84no—
834C22×C83#57512yes—
835C22×C83C23×D411yescharacteristic
836C4×C83—21no—
837C4×C83—21no—
838C4×C83—21no—
839C4×C83—21no—
840C4×C83—21no—
841C4×C83—21no—
842C4×C83—21no—
843C4×C83—21no—
844C4×C83—21no—
845C4×C83—21no—
846C4×C83—21no—
847C4×C83—41no—
848C4×C83—41no—
849C4×C83—41no—
850C4×C83—41no—
851C4×C83—41no—
852C4×C83—41no—
853C4×C83—41no—
854C4×C83—41no—
855C4×C83—41no—
856C4×C83—41no—
857C4×C83—41no—
858C4×C83C22×#4111yescharacteristic
859C4×C83#58511yescharacteristic
860#61454C8311yesmaximal, characteristic, direct product factor, Sylow
861C2×C83—22no—
862C2×C83—41no—
863C2×C83—41no—
864C2×C83—42no—
865C2×C83—42no—
866C2×C83—81no—
867C2×C83—81no—
868C2×C83—81no—
869C2×C83D4×#4111yescharacteristic
870C2×C83C2×#57511yescharacteristic
871C2×C83#358511yescharacteristic
872#3481C2×C8311yescharacteristic, complemented
873#3475C2×C8311yescharacteristic, complemented
874#3401C2×C8311yescharacteristic, complemented
875#3389C2×C8311yescharacteristic, complemented
876#3376C2×C8311yescharacteristic, complemented
877#3370C2×C8311yescharacteristic, complemented
878#3347C2×C8311yescharacteristic, complemented
879#3344C2×C8311yescharacteristic, complemented
880#3337C2×C8311yescharacteristic, complemented
881#3319C2×C8311yescharacteristic, complemented
882#3314C2×C8311yescharacteristic, complemented
883#3310C2×C8311yescharacteristic, complemented
884#3307C2×C8311yescharacteristic, complemented
885#3297C2×C8311yescharacteristic, complemented
886#3296C2×C8311yescharacteristic, complemented
887#3280C2×C8311yescharacteristic, complemented
888#3267C2×C8311yescharacteristic, complemented
889#3264C2×C8311yescharacteristic, complemented
890#3183C2×C8311yescharacteristic, complemented
891#3181C2×C8311yescharacteristic, complemented
892#3180C2×C8311yescharacteristic, complemented
893#3115C2×C8311yescharacteristic, complemented
894#3114C2×C8311yescharacteristic, complemented
895#3114C2×C8311yescharacteristic, complemented
896#3111C2×C8311yescharacteristic, complemented
897#3111C2×C8311yescharacteristic, complemented
898#3110C2×C8311yescharacteristic, complemented
899#2970C2×C8311yescharacteristic, complemented
900C4×AGL(1,ℤ/8)C2×C8311yescharacteristic, complemented
901#2943C2×C8311yescharacteristic, complemented
902C2×#442C2×C8311yescharacteristic, complemented
903C83#6145411yescharacteristic, direct product factor, Sylow
904C2×AGL(1,ℤ/8)C22×C8311yescharacteristic
905C2×#135C22×C8311yescharacteristic
906C22×D8C22×C8311yescharacteristic
907#559C22×C8311yescharacteristic, complemented
908#556C22×C8311yescharacteristic, complemented
909#555C22×C8311yescharacteristic, complemented
910#554C22×C8311yescharacteristic
911#554C22×C8311yescharacteristic, complemented
912#554C22×C8311yescharacteristic, complemented
913#553—21no—
914#553—21no—
915#553C22×C8311yescharacteristic
916#553C22×C8311yescharacteristic, complemented
917#552—21no—
918#552C22×C8311yescharacteristic
919#552C22×C8311yescharacteristic, complemented
920#551—21no—
921#551—21no—
922#551—21no—
923#551—21no—
924#547C22×C8311yescharacteristic, complemented
925#546—21no—
926#546C22×C8311yescharacteristic
927#546C22×C8311yescharacteristic
928#546C22×C8311yescharacteristic, complemented
929#546C22×C8311yescharacteristic, complemented
930D42C22×C8311yescharacteristic
931#533C22×C8311yescharacteristic, complemented
932#532C22×C8311yescharacteristic, complemented
933#529—21no—
934#529—21no—
935#529—21no—
936#529C22×C8311yescharacteristic
937#529C22×C8311yescharacteristic, complemented
938#529C22×C8311yescharacteristic, complemented
939#529C22×C8311yescharacteristic, complemented
940#525—21no—
941#525—21no—
942#525—21no—
943C4×#41C22×C8311yescharacteristic
944C4×#41C22×C8311yescharacteristic, complemented
945C4×#41C22×C8311yescharacteristic, complemented
946C4×#41C22×C8311yescharacteristic, complemented
947C2×C4×D4—21no—
948C2×C4×D4C22×C8311yescharacteristic
949C2×C4×D4C22×C8311yescharacteristic, complemented
950C2×C4×D4C22×C8311yescharacteristic, complemented
951C2×#117—21no—
952#501C22×C8311yescharacteristic, complemented
953#501C22×C8311yescharacteristic, complemented
954#499C22×C8311yescharacteristic, complemented
955#497C22×C8311yescharacteristic, complemented
956#496C22×C8311yescharacteristic
957#495C22×C8311yescharacteristic, complemented
958#491C22×C8311yescharacteristic, complemented
959#490C22×C8311yescharacteristic, complemented
960#489C22×C8311yescharacteristic, complemented
961#489C22×C8311yescharacteristic, complemented
962#488C22×C8311yescharacteristic, complemented
963#488C22×C8311yescharacteristic, complemented
964#485C22×C8311yescharacteristic, complemented
965#485C22×C8311yescharacteristic, complemented
966#484C22×C8311yescharacteristic, complemented
967#484C22×C8311yescharacteristic, complemented
968#483C22×C8311yescharacteristic, complemented
969#483C22×C8311yescharacteristic, complemented
970#482C22×C8311yescharacteristic, complemented
971#482C22×C8311yescharacteristic, complemented
972#482C22×C8311yescharacteristic, complemented
973#482C22×C8311yescharacteristic, complemented
974#480C22×C8311yescharacteristic
975#480C22×C8311yescharacteristic, complemented
976#479C22×C8311yescharacteristic, complemented
977#479C22×C8311yescharacteristic, complemented
978#478C22×C8311yescharacteristic, complemented
979#478C22×C8311yescharacteristic, complemented
980#478C22×C8311yescharacteristic, complemented
981#478C22×C8311yescharacteristic, complemented
982#478C22×C8311yescharacteristic, complemented
983#478C22×C8311yescharacteristic, complemented
984#475C22×C8311yescharacteristic, complemented
985#474C22×C8311yescharacteristic, complemented
986#474C22×C8311yescharacteristic, complemented
987#474C22×C8311yescharacteristic, complemented
988#470C22×C8311yescharacteristic, complemented
989#469C22×C8311yescharacteristic
990#468C22×C8311yescharacteristic, complemented
991#468C22×C8311yescharacteristic, complemented
992#467C22×C8311yescharacteristic, complemented
993#467C22×C8311yescharacteristic, complemented
994#466C22×C8311yescharacteristic, complemented
995#466C22×C8311yescharacteristic, complemented
996#465C22×C8311yescharacteristic
997#465C22×C8311yescharacteristic
998#465C22×C8311yescharacteristic, complemented
999#465C22×C8311yescharacteristic, complemented
1000#464C22×C8311yescharacteristic, complemented
1001#464C22×C8311yescharacteristic, complemented
1002#463C22×C8311yescharacteristic
1003#463C22×C8311yescharacteristic
1004#463C22×C8311yescharacteristic, complemented
1005#463C22×C8311yescharacteristic, complemented
1006#463C22×C8311yescharacteristic, complemented
1007#463C22×C8311yescharacteristic, complemented
1008#461C22×C8311yescharacteristic, complemented
1009#461C22×C8311yescharacteristic, complemented
1010#460C22×C8311yescharacteristic, complemented
1011#459C22×C8311yescharacteristic
1012#452C22×C8311yescharacteristic, complemented
1013#452C22×C8311yescharacteristic, complemented
1014#450C22×C8311yescharacteristic
1015#450C22×C8311yescharacteristic
1016#450C22×C8311yescharacteristic, complemented
1017#450C22×C8311yescharacteristic, complemented
1018#449C22×C8311yescharacteristic
1019#449C22×C8311yescharacteristic
1020#449C22×C8311yescharacteristic, complemented
1021#449C22×C8311yescharacteristic, complemented
1022#447C22×C8311yescharacteristic
1023#447C22×C8311yescharacteristic
1024#446C22×C8311yescharacteristic, complemented
1025#446C22×C8311yescharacteristic, complemented
1026#442C22×C8311yescharacteristic
1027#442C22×C8311yescharacteristic
1028#442C22×C8311yescharacteristic
1029#442C22×C8311yescharacteristic
1030#442C22×C8311yescharacteristic
1031#442C22×C8311yescharacteristic, complemented
1032#442C22×C8311yescharacteristic, complemented
1033#442C22×C8311yescharacteristic, complemented
1034#442C22×C8311yescharacteristic, complemented
1035#442C22×C8311yescharacteristic, complemented
1036#442C22×C8311yescharacteristic, complemented
1037#441C22×C8311yescharacteristic, complemented
1038#441C22×C8311yescharacteristic, complemented
1039#441C22×C8311yescharacteristic, complemented
1040#440C22×C8311yescharacteristic, complemented
1041#440C22×C8311yescharacteristic, complemented
1042#440C22×C8311yescharacteristic, complemented
1043#440C22×C8311yescharacteristic, complemented
1044#440C22×C8311yescharacteristic, complemented
1045#440C22×C8311yescharacteristic, complemented
1046#440C22×C8311yescharacteristic, complemented
1047#440C22×C8311yescharacteristic, complemented
1048#440C22×C8311yescharacteristic, complemented
1049#440C22×C8311yescharacteristic, complemented
1050C4×SD16C22×C8311yescharacteristic, complemented
1051C4×SD16C22×C8311yescharacteristic, complemented
1052C4×D8C22×C8311yescharacteristic
1053C4×D8C22×C8311yescharacteristic, complemented
1054#435C22×C8311yescharacteristic
1055#435C22×C8311yescharacteristic
1056#435C22×C8311yescharacteristic, complemented
1057#435C22×C8311yescharacteristic, complemented
1058C8×D4C22×C8311yescharacteristic, complemented
1059C8×D4C22×C8311yescharacteristic, complemented
1060#432C22×C8311yescharacteristic, complemented
1061#432C22×C8311yescharacteristic, complemented
1062#432C22×C8311yescharacteristic, complemented
1063#428C22×C8311yescharacteristic, complemented
1064#427C22×C8311yescharacteristic, complemented
1065C2×#106C22×C8311yescharacteristic, complemented
1066#418C22×C8311yescharacteristic, complemented
1067#417C22×C8311yescharacteristic, complemented
1068#416C22×C8311yescharacteristic, complemented
1069#416C22×C8311yescharacteristic, complemented
1070C2×#102C22×C8311yescharacteristic
1071C2×#102C22×C8311yescharacteristic, complemented
1072C4×M16C22×C8311yescharacteristic, complemented
1073C2×#97C22×C8311yescharacteristic, complemented
1074C2×#97C22×C8311yescharacteristic, complemented
1075C2×#41—21no—
1076C2×#41D4×C8311yescharacteristic
1077C2×#41C23×C8311yescharacteristic
1078C2×#41C23×C8311yescharacteristic
1079C2×#41C23×C8311yescharacteristic
1080C22×D4—21no—
1081C22×D4C23×C8311yescharacteristic
1082C22×D4C23×C8311yescharacteristic
1083C22×D4C23×C8311yescharacteristic
1084C23×C4—21no—
1085C23×C4—21no—
1086C23×C4—21no—
1087AGL(1,ℤ/8)—24no—
1088#135—24no—
1089C2×Q16C23×C8311yescharacteristic
1090C2×Q16C23×C8311yescharacteristic
1091C2×SD16C23×C8311yescharacteristic
1092C2×SD16C23×C8311yescharacteristic
1093C2×SD16C23×C8311yescharacteristic
1094C2×SD16C23×C8311yescharacteristic
1095C2×SD16C23×C8311yescharacteristic
1096C2×SD16C23×C8311yescharacteristic
1097C2×SD16C23×C8311yescharacteristic
1098C2×SD16C23×C8311yescharacteristic
1099C2×D8—24no—
1100C2×D8C23×C8311yescharacteristic
1101C2×D8C23×C8311yescharacteristic
1102C2×D8C23×C8311yescharacteristic
1103C2×D8C23×C8311yescharacteristic
1104C2×D8C23×C8311yescharacteristic
1105C2×D8C23×C8311yescharacteristic
1106C2×M16C23×C8311yescharacteristic
1107C2×M16C23×C8311yescharacteristic
1108C22×C8C23×C8311yescharacteristic
1109C22×C8C23×C8311yescharacteristic
1110C22×C8C23×C8311yescharacteristic
1111C22×C8C23×C8311yescharacteristic
1112C4⋊Q8C23×C8311yescharacteristic
1113C4⋊Q8C23×C8311yescharacteristic
1114C4⋊Q8C23×C8311yescharacteristic
1115#127C23×C8311yescharacteristic
1116#126—21no—
1117#126—21no—
1118#126—21no—
1119#126—21no—
1120#126—21no—
1121#126—21no—
1122#126—21no—
1123#126—21no—
1124#126—21no—
1125#126—21no—
1126#125—21no—
1127#125—21no—
1128#125—21no—
1129#125—21no—
1130#125C23×C8311yescharacteristic
1131#125C23×C8311yescharacteristic
1132#125C23×C8311yescharacteristic
1133#125C23×C8311yescharacteristic
1134#124—21no—
1135#124—21no—
1136#124—21no—
1137#124—21no—
1138#124C23×C8311yescharacteristic
1139#124C23×C8311yescharacteristic
1140#124C23×C8311yescharacteristic
1141#124C23×C8311yescharacteristic
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—21no—
1149#123—21no—
1150#123—21no—
1151#123—21no—
1152#123—21no—
1153#123—21no—
1154#123—21no—
1155#123—21no—
1156#123—21no—
1157#123—21no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—21no—
1162C22⋊Q8—21no—
1163C22⋊Q8—21no—
1164C22⋊Q8—21no—
1165C22⋊Q8—21no—
1166C22⋊Q8—21no—
1167C22⋊Q8—21no—
1168C22⋊Q8C23×C8311yescharacteristic
1169C22⋊Q8C23×C8311yescharacteristic
1170C22⋊Q8C23×C8311yescharacteristic
1171C22⋊Q8C23×C8311yescharacteristic
1172C22⋊Q8C23×C8311yescharacteristic
1173C22⋊Q8C23×C8311yescharacteristic
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121—21no—
1178#121—21no—
1179#121—21no—
1180#121—21no—
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121C23×C8311yescharacteristic
1185#121C23×C8311yescharacteristic
1186#121C23×C8311yescharacteristic
1187#121C23×C8311yescharacteristic
1188#121C23×C8311yescharacteristic
1189#121C23×C8311yescharacteristic
1190#120—21no—
1191#120—21no—
1192#120—21no—
1193#120—21no—
1194#120—21no—
1195#120—21no—
1196C4×Q8—21no—
1197C4×Q8D4×C8311yescharacteristic
1198C4×Q8C23×C8311yescharacteristic
1199C4×Q8C23×C8311yescharacteristic
1200C4×Q8C23×C8311yescharacteristic
1201C4×Q8C23×C8311yescharacteristic
1202C4×Q8C23×C8311yescharacteristic
1203C4×Q8C23×C8311yescharacteristic
1204C4×Q8C23×C8311yescharacteristic
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—21no—
1218C4×D4—21no—
1219C4×D4—21no—
1220C4×D4—21no—
1221C4×D4—21no—
1222C4×D4—21no—
1223C4×D4—21no—
1224C4×D4—21no—
1225C4×D4—21no—
1226C4×D4D4×C8311yescharacteristic
1227C4×D4D4×C8311yescharacteristic
1228C4×D4D4×C8311yescharacteristic
1229C4×D4C23×C8311yescharacteristic
1230C4×D4C23×C8311yescharacteristic
1231C4×D4C23×C8311yescharacteristic
1232C4×D4C23×C8311yescharacteristic
1233C4×D4C23×C8311yescharacteristic
1234C4×D4C23×C8311yescharacteristic
1235C4×D4C23×C8311yescharacteristic
1236C4×D4C23×C8311yescharacteristic
1237C4×D4C23×C8311yescharacteristic
1238C4×D4C23×C8311yescharacteristic
1239C4×D4C23×C8311yescharacteristic
1240C4×D4C23×C8311yescharacteristic
1241C4×D4C23×C8311yescharacteristic
1242C4×D4C23×C8311yescharacteristic
1243C4×D4C23×C8311yescharacteristic
1244C4×D4C23×C8311yescharacteristic
1245C4×D4C23×C8311yescharacteristic
1246#117—21no—
1247#117—21no—
1248#117—21no—
1249#117—21no—
1250#117—21no—
1251#117—21no—
1252#117—21no—
1253#117—21no—
1254#117—21no—
1255#117—21no—
1256#117—21no—
1257#117—21no—
1258#117D4×C8311yescharacteristic
1259#117D4×C8311yescharacteristic
1260#117D4×C8311yescharacteristic
1261#117C23×C8311yescharacteristic
1262#117C23×C8311yescharacteristic
1263#117C23×C8311yescharacteristic
1264C2×C4⋊C4—21no—
1265C2×C4⋊C4—21no—
1266C2×C4⋊C4—21no—
1267C2×C4⋊C4C23×C8311yescharacteristic
1268C2×C4⋊C4C23×C8311yescharacteristic
1269C2×C4⋊C4C23×C8311yescharacteristic
1270C2×C22⋊C4—21no—
1271C2×C22⋊C4—21no—
1272C2×C22⋊C4—21no—
1273C2×C22⋊C4—21no—
1274C2×C22⋊C4—21no—
1275C2×C22⋊C4—21no—
1276C2×C22⋊C4—21no—
1277C2×C42—21no—
1278C2×C42—21no—
1279C2×C42—21no—
1280C2×C42C23×C8311yescharacteristic
1281C2×C42C23×C8311yescharacteristic
1282C2×C42C23×C8311yescharacteristic
1283#107C23×C8311yescharacteristic
1284#107C23×C8311yescharacteristic
1285#107C23×C8311yescharacteristic
1286#107C23×C8311yescharacteristic
1287#107C23×C8311yescharacteristic
1288#107C23×C8311yescharacteristic
1289#107C23×C8311yescharacteristic
1290#107C23×C8311yescharacteristic
1291#106C23×C8311yescharacteristic
1292#106C23×C8311yescharacteristic
1293#106C23×C8311yescharacteristic
1294#106C23×C8311yescharacteristic
1295#106C23×C8311yescharacteristic
1296#106C23×C8311yescharacteristic
1297#106C23×C8311yescharacteristic
1298#106C23×C8311yescharacteristic
1299C4⋊C8C23×C8311yescharacteristic
1300C4⋊C8C23×C8311yescharacteristic
1301C4⋊C8C23×C8311yescharacteristic
1302C4⋊C8C23×C8311yescharacteristic
1303C4⋊C8C23×C8311yescharacteristic
1304C4⋊C8C23×C8311yescharacteristic
1305#103C23×C8311yescharacteristic
1306#103C23×C8311yescharacteristic
1307#103C23×C8311yescharacteristic
1308#103C23×C8311yescharacteristic
1309#103C23×C8311yescharacteristic
1310#103C23×C8311yescharacteristic
1311#103C23×C8311yescharacteristic
1312#103C23×C8311yescharacteristic
1313#103C23×C8311yescharacteristic
1314#103C23×C8311yescharacteristic
1315#103C23×C8311yescharacteristic
1316#103C23×C8311yescharacteristic
1317#102C23×C8311yescharacteristic
1318#102C23×C8311yescharacteristic
1319#102C23×C8311yescharacteristic
1320#102C23×C8311yescharacteristic
1321#102C23×C8311yescharacteristic
1322#102C23×C8311yescharacteristic
1323#102C23×C8311yescharacteristic
1324#102C23×C8311yescharacteristic
1325#102C23×C8311yescharacteristic
1326#102C23×C8311yescharacteristic
1327#102C23×C8311yescharacteristic
1328#102C23×C8311yescharacteristic
1329#102C23×C8311yescharacteristic
1330#102C23×C8311yescharacteristic
1331#102C23×C8311yescharacteristic
1332#102C23×C8311yescharacteristic
1333#102C23×C8311yescharacteristic
1334#102C23×C8311yescharacteristic
1335#102C23×C8311yescharacteristic
1336#102C23×C8311yescharacteristic
1337C22⋊C8C23×C8311yescharacteristic
1338C22⋊C8C23×C8311yescharacteristic
1339C22⋊C8C23×C8311yescharacteristic
1340C22⋊C8C23×C8311yescharacteristic
1341C22⋊C8C23×C8311yescharacteristic
1342C22⋊C8C23×C8311yescharacteristic
1343#97C23×C8311yescharacteristic
1344#97C23×C8311yescharacteristic
1345#97C23×C8311yescharacteristic
1346#97C23×C8311yescharacteristic
1347#97C23×C8311yescharacteristic
1348#97C23×C8311yescharacteristic
1349#97C23×C8311yescharacteristic
1350#97C23×C8311yescharacteristic
1351C4×C8C23×C8311yescharacteristic
1352C4×C8C23×C8311yescharacteristic
1353C24—21no—
1354C24—21no—
1355C24—21no—
1356#41—22no—
1357#41—22no—
1358#41—22no—
1359#41—42no—
1360#41—41no—
1361#41—41no—
1362#41—41no—
1363#41—82no—
1364C2×Q8—21no—
1365C2×Q8—21no—
1366C2×Q8C2×D4×C8311yescharacteristic
1367C2×Q8C24×C8311yescharacteristic
1368C2×Q8C24×C8311yescharacteristic
1369C2×Q8C24×C8311yescharacteristic
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—41no—
1388C2×D4—41no—
1389C2×D4—41no—
1390C2×D4—44no—
1391C2×D4C2×D4×C8311yescharacteristic
1392C2×D4C2×D4×C8311yescharacteristic
1393C2×D4C2×D4×C8311yescharacteristic
1394C2×D4C24×C8311yescharacteristic
1395C2×D4C24×C8311yescharacteristic
1396C2×D4C24×C8311yescharacteristic
1397C2×D4C24×C8311yescharacteristic
1398C2×D4C24×C8311yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—44no—
1420C22×C4—82no—
1421C22×C4—82no—
1422C22×C4C2×D4×C8311yescharacteristic
1423C22×C4C2×D4×C8311yescharacteristic
1424C22×C4C2×D4×C8311yescharacteristic
1425C22×C4C2×D4×C8311yescharacteristic
1426C22×C4C2×D4×C8311yescharacteristic
1427C22×C4C2×D4×C8311yescharacteristic
1428C22×C4C24×C8311yescharacteristic
1429C22×C4C24×C8311yescharacteristic
1430C22×C4C24×C8311yescharacteristic
1431Q16—22no—
1432Q16—41no—
1433SD16—22no—
1434SD16—22no—
1435SD16—22no—
1436SD16—22no—
1437SD16—41no—
1438SD16—41no—
1439SD16—41no—
1440SD16—41no—
1441D8—22no—
1442D8—22no—
1443D8—22no—
1444D8—22no—
1445D8—41no—
1446D8#41×C8314yescomplemented
1447M16—22no—
1448M16—41no—
1449C2×C8—22no—
1450C2×C8—22no—
1451C2×C8—41no—
1452C2×C8—41no—
1453C2×C8C24×C8311yescharacteristic
1454C2×C8C24×C8311yescharacteristic
1455C2×C8C24×C8311yescharacteristic
1456C2×C8C24×C8311yescharacteristic
1457C2×C8C24×C8311yescharacteristic
1458C2×C8C24×C8311yescharacteristic
1459C2×C8C24×C8311yescharacteristic
1460C2×C8C24×C8311yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4C2×D4×C8311yescharacteristic
1489C4⋊C4C2×D4×C8311yescharacteristic
1490C4⋊C4C2×D4×C8311yescharacteristic
1491C4⋊C4C2×D4×C8311yescharacteristic
1492C4⋊C4C2×D4×C8311yescharacteristic
1493C4⋊C4C2×D4×C8311yescharacteristic
1494C4⋊C4C24×C8311yescharacteristic
1495C4⋊C4C24×C8311yescharacteristic
1496C4⋊C4C24×C8311yescharacteristic
1497C4⋊C4C24×C8311yescharacteristic
1498C4⋊C4C24×C8311yescharacteristic
1499C4⋊C4C24×C8311yescharacteristic
1500C4⋊C4C24×C8311yescharacteristic
1501C4⋊C4C24×C8311yescharacteristic
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4C2×D4×C8311yescharacteristic
1540C22⋊C4C2×D4×C8311yescharacteristic
1541C22⋊C4C2×D4×C8311yescharacteristic
1542C22⋊C4C2×D4×C8311yescharacteristic
1543C22⋊C4C2×D4×C8311yescharacteristic
1544C22⋊C4C2×D4×C8311yescharacteristic
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—21no—
1549C42—21no—
1550C42—21no—
1551C42—21no—
1552C42—21no—
1553C42—21no—
1554C42C2×D4×C8311yescharacteristic
1555C42C2×D4×C8311yescharacteristic
1556C42C2×D4×C8311yescharacteristic
1557C42C2×D4×C8311yescharacteristic
1558C42C2×D4×C8311yescharacteristic
1559C42C2×D4×C8311yescharacteristic
1560C42C24×C8311yescharacteristic
1561C42C24×C8311yescharacteristic
1562C42C24×C8311yescharacteristic
1563C42C24×C8311yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—42no—
1570C23—42no—
1571C23—42no—
1572C23—42no—
1573C23—42no—
1574C23—42no—
1575C23—81no—
1576C23—81no—
1577C23—81no—
1578C23C22×D4×C8311yescharacteristic
1579C23C22×D4×C8311yescharacteristic
1580C23C22×D4×C8311yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—41no—
1588Q8—81no—
1589Q8—81no—
1590D4—22no—
1591D4—22no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—41no—
1601D4—42no—
1602D4—42no—
1603D4—42no—
1604D4—42no—
1605D4—42no—
1606D4—42no—
1607D4—42no—
1608D4—42no—
1609D4—42no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—81no—
1614D4—81no—
1615D4C2×#41×C8312yes—
1616D4C2×#41×C8312yes—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—41no—
1640C2×C4—42no—
1641C2×C4—42no—
1642C2×C4—42no—
1643C2×C4—42no—
1644C2×C4—42no—
1645C2×C4—42no—
1646C2×C4—42no—
1647C2×C4—42no—
1648C2×C4—42no—
1649C2×C4—42no—
1650C2×C4—42no—
1651C2×C4—42no—
1652C2×C4—81no—
1653C2×C4—81no—
1654C2×C4—81no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4C22×D4×C8311yescharacteristic
1661C2×C4C22×D4×C8311yescharacteristic
1662C2×C4C22×D4×C8311yescharacteristic
1663C2×C4C22×D4×C8311yescharacteristic
1664C2×C4C22×D4×C8311yescharacteristic
1665C2×C4C22×D4×C8311yescharacteristic
1666C2×C4C22×D4×C8311yescharacteristic
1667C2×C4C22×D4×C8311yescharacteristic
1668C2×C4C22×D4×C8311yescharacteristic
1669C2×C4C22×D4×C8311yescharacteristic
1670C2×C4C22×D4×C8311yescharacteristic
1671C2×C4C25×C8311yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—21no—
1678C8—21no—
1679C8C2×#41×C8312yes—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—21no—
1687C22—21no—
1688C22—22no—
1689C22—22no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—84no—
1704C22—84no—
1705C22—84no—
1706C22#575×C8312yes—
1707C22C23×D4×C8311yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—21no—
1716C4—21no—
1717C4—21no—
1718C4—21no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4C22×#41×C8311yescharacteristic
1731C4#585×C8311yescharacteristic
1732C2—22no—
1733C2—41no—
1734C2—41no—
1735C2—42no—
1736C2—42no—
1737C2—81no—
1738C2—81no—
1739C2—81no—
1740C2D4×#41×C8311yescharacteristic
1741C2C2×#575×C8311yescharacteristic
1742C2C83×#358511yescharacteristic
subgroupG/H
center, socleC22×C83C23×D4
commutator, Frattini, cosocleC2×C4C25×C83
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C83 ◁ C4×#41×C83 ◁ G

Complements

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

NH ≅ G/Ntype
1. C83×#3481C2semidirect
2. C83×#3475C2semidirect
3. C83×#3401C2semidirect
4. C83×#3389C2semidirect
5. C83×#3376C2semidirect
6. C83×#3370C2semidirect
7. C83×#3347C2semidirect
8. C83×#3344C2semidirect
9. C83×#3337C2semidirect
10. C83×#3319C2semidirect
11. C83×#3314C2semidirect
12. C83×#3310C2semidirect
13. C83×#3307C2semidirect
14. C83×#3297C2semidirect
15. C83×#3296C2semidirect
16. C83×#3280C2semidirect
17. C83×#3267C2semidirect
18. C83×#3264C2semidirect
19. C83×#3183C2semidirect
20. C83×#3181C2semidirect
21. C83×#3180C2semidirect
22. C83×#3115C2semidirect
23. C83×#3114C2semidirect
24. C83×#3114C2semidirect
25. C83×#3111C2semidirect
26. C83×#3111C2semidirect
27. C83×#3110C2semidirect
28. C83×#2970C2semidirect
29. C4×AGL(1,ℤ/8)×C83C2semidirect
30. C83×#2943C2semidirect
31. C2×#442×C83C2semidirect
35. #559×C83C22semidirect
36. #556×C83C22semidirect
37. #555×C83C22semidirect
39. #554×C83C22semidirect
40. #554×C83C22semidirect
44. #553×C83C22semidirect
47. #552×C83C22semidirect
52. #547×C83C22semidirect
56. #546×C83C22semidirect
57. #546×C83C22semidirect
59. #533×C83C22semidirect
60. #532×C83C22semidirect
65. #529×C83C22semidirect
66. #529×C83C22semidirect
67. #529×C83C22semidirect
72. C4×#41×C83C22semidirect
73. C4×#41×C83C22semidirect
74. C4×#41×C83C22semidirect
77. C2×C4×D4×C83C22semidirect
78. C2×C4×D4×C83C22semidirect
80. #501×C83C22semidirect
81. #501×C83C22semidirect
82. #499×C83C22semidirect
83. #497×C83C22semidirect
85. #495×C83C22semidirect
86. #491×C83C22semidirect
87. #490×C83C22semidirect
88. #489×C83C22semidirect
89. #489×C83C22semidirect
90. #488×C83C22semidirect
91. #488×C83C22semidirect
92. #485×C83C22semidirect
93. #485×C83C22semidirect
94. #484×C83C22semidirect
95. #484×C83C22semidirect
96. #483×C83C22semidirect
97. #483×C83C22semidirect
98. #482×C83C22semidirect
99. #482×C83C22semidirect
100. #482×C83C22semidirect
101. #482×C83C22semidirect
103. #480×C83C22semidirect
104. #479×C83C22semidirect
105. #479×C83C22semidirect
106. #478×C83C22semidirect
107. #478×C83C22semidirect
108. #478×C83C22semidirect
109. #478×C83C22semidirect
110. #478×C83C22semidirect
111. #478×C83C22semidirect
112. #475×C83C22semidirect
113. #474×C83C22semidirect
114. #474×C83C22semidirect
115. #474×C83C22semidirect
116. #470×C83C22semidirect
118. #468×C83C22semidirect
119. #468×C83C22semidirect
120. #467×C83C22semidirect
121. #467×C83C22semidirect
122. #466×C83C22semidirect
123. #466×C83C22semidirect
126. #465×C83C22semidirect
127. #465×C83C22semidirect
128. #464×C83C22semidirect
129. #464×C83C22semidirect
132. #463×C83C22semidirect
133. #463×C83C22semidirect
134. #463×C83C22semidirect
135. #463×C83C22semidirect
136. #461×C83C22semidirect
137. #461×C83C22semidirect
138. #460×C83C22semidirect
140. #452×C83C22semidirect
141. #452×C83C22semidirect
144. #450×C83C22semidirect
145. #450×C83C22semidirect
148. #449×C83C22semidirect
149. #449×C83C22semidirect
152. #446×C83C22semidirect
153. #446×C83C22semidirect
159. #442×C83C22semidirect
160. #442×C83C22semidirect
161. #442×C83C22semidirect
162. #442×C83C22semidirect
163. #442×C83C22semidirect
164. #442×C83C22semidirect
165. #441×C83C22semidirect
166. #441×C83C22semidirect
167. #441×C83C22semidirect
168. #440×C83C22semidirect
169. #440×C83C22semidirect
170. #440×C83C22semidirect
171. #440×C83C22semidirect
172. #440×C83C22semidirect
173. #440×C83C22semidirect
174. #440×C83C22semidirect
175. #440×C83C22semidirect
176. #440×C83C22semidirect
177. #440×C83C22semidirect
178. C4×SD16×C83C22semidirect
179. C4×SD16×C83C22semidirect
181. C4×D8×C83C22semidirect
184. #435×C83C22semidirect
185. #435×C83C22semidirect
186. C8×D4×C83C22semidirect
187. C8×D4×C83C22semidirect
188. #432×C83C22semidirect
189. #432×C83C22semidirect
190. #432×C83C22semidirect
191. #428×C83C22semidirect
192. #427×C83C22semidirect
193. C2×#106×C83C22semidirect
194. #418×C83C22semidirect
195. #417×C83C22semidirect
196. #416×C83C22semidirect
197. #416×C83C22semidirect
199. C2×#102×C83C22semidirect
200. C4×M16×C83C22semidirect
201. C2×#97×C83C22semidirect
202. C2×#97×C83C22semidirect
574. D8×C83#41semidirect
860. #61454C83direct (N × H)
872. #3481C2×C83semidirect
873. #3475C2×C83semidirect
874. #3401C2×C83semidirect
875. #3389C2×C83semidirect
876. #3376C2×C83semidirect
877. #3370C2×C83semidirect
878. #3347C2×C83semidirect
879. #3344C2×C83semidirect
880. #3337C2×C83semidirect
881. #3319C2×C83semidirect
882. #3314C2×C83semidirect
883. #3310C2×C83semidirect
884. #3307C2×C83semidirect
885. #3297C2×C83semidirect
886. #3296C2×C83semidirect
887. #3280C2×C83semidirect
888. #3267C2×C83semidirect
889. #3264C2×C83semidirect
890. #3183C2×C83semidirect
891. #3181C2×C83semidirect
892. #3180C2×C83semidirect
893. #3115C2×C83semidirect
894. #3114C2×C83semidirect
895. #3114C2×C83semidirect
896. #3111C2×C83semidirect
897. #3111C2×C83semidirect
898. #3110C2×C83semidirect
899. #2970C2×C83semidirect
900. C4×AGL(1,ℤ/8)C2×C83semidirect
901. #2943C2×C83semidirect
902. C2×#442C2×C83semidirect
903. C83#61454direct (N × H)
907. #559C22×C83semidirect
908. #556C22×C83semidirect
909. #555C22×C83semidirect
911. #554C22×C83semidirect
912. #554C22×C83semidirect
916. #553C22×C83semidirect
919. #552C22×C83semidirect
924. #547C22×C83semidirect
928. #546C22×C83semidirect
929. #546C22×C83semidirect
931. #533C22×C83semidirect
932. #532C22×C83semidirect
937. #529C22×C83semidirect
938. #529C22×C83semidirect
939. #529C22×C83semidirect
944. C4×#41C22×C83semidirect
945. C4×#41C22×C83semidirect
946. C4×#41C22×C83semidirect
949. C2×C4×D4C22×C83semidirect
950. C2×C4×D4C22×C83semidirect
952. #501C22×C83semidirect
953. #501C22×C83semidirect
954. #499C22×C83semidirect
955. #497C22×C83semidirect
957. #495C22×C83semidirect
958. #491C22×C83semidirect
959. #490C22×C83semidirect
960. #489C22×C83semidirect
961. #489C22×C83semidirect
962. #488C22×C83semidirect
963. #488C22×C83semidirect
964. #485C22×C83semidirect
965. #485C22×C83semidirect
966. #484C22×C83semidirect
967. #484C22×C83semidirect
968. #483C22×C83semidirect
969. #483C22×C83semidirect
970. #482C22×C83semidirect
971. #482C22×C83semidirect
972. #482C22×C83semidirect
973. #482C22×C83semidirect
975. #480C22×C83semidirect
976. #479C22×C83semidirect
977. #479C22×C83semidirect
978. #478C22×C83semidirect
979. #478C22×C83semidirect
980. #478C22×C83semidirect
981. #478C22×C83semidirect
982. #478C22×C83semidirect
983. #478C22×C83semidirect
984. #475C22×C83semidirect
985. #474C22×C83semidirect
986. #474C22×C83semidirect
987. #474C22×C83semidirect
988. #470C22×C83semidirect
990. #468C22×C83semidirect
991. #468C22×C83semidirect
992. #467C22×C83semidirect
993. #467C22×C83semidirect
994. #466C22×C83semidirect
995. #466C22×C83semidirect
998. #465C22×C83semidirect
999. #465C22×C83semidirect
1000. #464C22×C83semidirect
1001. #464C22×C83semidirect
1004. #463C22×C83semidirect
1005. #463C22×C83semidirect
1006. #463C22×C83semidirect
1007. #463C22×C83semidirect
1008. #461C22×C83semidirect
1009. #461C22×C83semidirect
1010. #460C22×C83semidirect
1012. #452C22×C83semidirect
1013. #452C22×C83semidirect
1016. #450C22×C83semidirect
1017. #450C22×C83semidirect
1020. #449C22×C83semidirect
1021. #449C22×C83semidirect
1024. #446C22×C83semidirect
1025. #446C22×C83semidirect
1031. #442C22×C83semidirect
1032. #442C22×C83semidirect
1033. #442C22×C83semidirect
1034. #442C22×C83semidirect
1035. #442C22×C83semidirect
1036. #442C22×C83semidirect
1037. #441C22×C83semidirect
1038. #441C22×C83semidirect
1039. #441C22×C83semidirect
1040. #440C22×C83semidirect
1041. #440C22×C83semidirect
1042. #440C22×C83semidirect
1043. #440C22×C83semidirect
1044. #440C22×C83semidirect
1045. #440C22×C83semidirect
1046. #440C22×C83semidirect
1047. #440C22×C83semidirect
1048. #440C22×C83semidirect
1049. #440C22×C83semidirect
1050. C4×SD16C22×C83semidirect
1051. C4×SD16C22×C83semidirect
1053. C4×D8C22×C83semidirect
1056. #435C22×C83semidirect
1057. #435C22×C83semidirect
1058. C8×D4C22×C83semidirect
1059. C8×D4C22×C83semidirect
1060. #432C22×C83semidirect
1061. #432C22×C83semidirect
1062. #432C22×C83semidirect
1063. #428C22×C83semidirect
1064. #427C22×C83semidirect
1065. C2×#106C22×C83semidirect
1066. #418C22×C83semidirect
1067. #417C22×C83semidirect
1068. #416C22×C83semidirect
1069. #416C22×C83semidirect
1071. C2×#102C22×C83semidirect
1072. C4×M16C22×C83semidirect
1073. C2×#97C22×C83semidirect
1074. C2×#97C22×C83semidirect
1446. D8#41×C83semidirect

Maximal subgroups

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

subgroupindex
C83×#34812
C83×#34752
C83×#34012
C83×#33892
C83×#33762
C83×#33702
C83×#33472
C83×#33442
C83×#33372
C83×#33192
C83×#33142
C83×#33102
C83×#33072
C83×#32972
C83×#32962
C83×#32802
C83×#32672
C83×#32642
C83×#31832
C83×#31812
C83×#31802
C83×#31152
C83×#31142
C83×#31112
C83×#31102
C83×#29702
C4×AGL(1,ℤ/8)×C832
C83×#29432
C2×#442×C832
#6145483