Finite Group Databasebeta

← C83×#62255 #35290079

Subgroups — C83×#62255 #35290079

Order 21248.

1882 conjugacy classes of subgroups.

The subgroup lattice has 1792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#3506C211yesmaximal, characteristic, complemented
2C83×#3505C211yesmaximal, characteristic, complemented
3C83×#3350C211yesmaximal, characteristic, complemented
4C83×#3349C211yesmaximal, characteristic, complemented
5C83×#3348C211yesmaximal, characteristic, complemented
6C83×#3347C211yesmaximal, characteristic, complemented
7C83×#3321C211yesmaximal, characteristic, complemented
8C83×#3319C211yesmaximal, characteristic, complemented
9C83×#3317C211yesmaximal, characteristic, complemented
10C83×#3315C211yesmaximal, characteristic, complemented
11C83×#3313C211yesmaximal, characteristic, complemented
12C83×#3311C211yesmaximal, characteristic, complemented
13C83×#3309C211yesmaximal, characteristic, complemented
14C83×#3307C211yesmaximal, characteristic, complemented
15C83×#3271C211yesmaximal, characteristic, complemented
16C83×#3269C211yesmaximal, characteristic, complemented
17C83×#3268C211yesmaximal, characteristic, complemented
18C83×#3267C211yesmaximal, characteristic, complemented
19C83×#3248C211yesmaximal, characteristic, complemented
20C83×#3247C211yesmaximal, characteristic, complemented
21C83×#3191C211yesmaximal, characteristic, complemented
22C83×#3191C211yesmaximal, characteristic, complemented
23C83×#3190C211yesmaximal, characteristic, complemented
24C83×#3188C211yesmaximal, characteristic, complemented
25C83×#3181C211yesmaximal, characteristic, complemented
26C83×#3180C211yesmaximal, characteristic, complemented
27C83×#3056C211yesmaximal, characteristic, complemented
28C83×#3055C211yesmaximal, characteristic, complemented
29C83×#3050C211yesmaximal, characteristic, complemented
30C83×#3050C211yesmaximal, characteristic, complemented
31C2×#435×C83C211yesmaximal, characteristic, complemented
32C2×#137×C83C2211yescharacteristic, complemented
33C2×AGL(1,ℤ/8)×C83C2211yescharacteristic, complemented
34C2×#135×C83C2211yescharacteristic, complemented
35C2×#135×C83C2211yescharacteristic, complemented
36C22×M16×C83C2211yescharacteristic
37C23×C8×C83C2211yescharacteristic, complemented
38#559×C83—21no—
39#559×C83—21no—
40#556×C83C2211yescharacteristic
41#556×C83C2211yescharacteristic, complemented
42#555×C83C2211yescharacteristic
43#555×C83C2211yescharacteristic, complemented
44#553×C83—21no—
45#553×C83—21no—
46#553×C83—21no—
47#553×C83—21no—
48#553×C83C2211yescharacteristic
49#553×C83C2211yescharacteristic
50#552×C83C2211yescharacteristic
51#552×C83C2211yescharacteristic
52#551×C83—21no—
53#551×C83—21no—
54#550×C83C2211yescharacteristic
55#550×C83C2211yescharacteristic, complemented
56#548×C83C2211yescharacteristic
57#548×C83C2211yescharacteristic
58#547×C83C2211yescharacteristic
59#547×C83C2211yescharacteristic, complemented
60#546×C83C2211yescharacteristic
61#546×C83C2211yescharacteristic
62#539×C83—21no—
63#538×C83—21no—
64#538×C83—21no—
65#538×C83—21no—
66#535×C83—21no—
67#534×C83—21no—
68#533×C83C2211yescharacteristic, complemented
69#532×C83C2211yescharacteristic, complemented
70#529×C83C2211yescharacteristic
71#529×C83C2211yescharacteristic
72#525×C83C2211yescharacteristic
73#525×C83C2211yescharacteristic
74#525×C83C2211yescharacteristic
75#525×C83C2211yescharacteristic
76#525×C83C2211yescharacteristic, complemented
77#525×C83C2211yescharacteristic, complemented
78C2×C22⋊Q8×C83C2211yescharacteristic
79C2×#121×C83C2211yescharacteristic
80#520×C83—21no—
81#518×C83—21no—
82C2×C4×D4×C83C2211yescharacteristic
83#501×C83C2211yescharacteristic, complemented
84#501×C83C2211yescharacteristic, complemented
85#497×C83C2211yescharacteristic, complemented
86#496×C83C2211yescharacteristic, complemented
87#491×C83C2211yescharacteristic, complemented
88#490×C83C2211yescharacteristic, complemented
89#489×C83C2211yescharacteristic, complemented
90#489×C83C2211yescharacteristic, complemented
91#485×C83C2211yescharacteristic, complemented
92#485×C83C2211yescharacteristic, complemented
93#485×C83C2211yescharacteristic, complemented
94#485×C83C2211yescharacteristic, complemented
95#485×C83C2211yescharacteristic, complemented
96#485×C83C2211yescharacteristic, complemented
97#484×C83C2211yescharacteristic, complemented
98#483×C83C2211yescharacteristic, complemented
99#482×C83C2211yescharacteristic, complemented
100#482×C83C2211yescharacteristic, complemented
101#482×C83C2211yescharacteristic, complemented
102#482×C83C2211yescharacteristic, complemented
103#482×C83C2211yescharacteristic, complemented
104#482×C83C2211yescharacteristic, complemented
105#481×C83C2211yescharacteristic, complemented
106#480×C83C2211yescharacteristic, complemented
107#479×C83C2211yescharacteristic, complemented
108#479×C83C2211yescharacteristic, complemented
109#478×C83C2211yescharacteristic, complemented
110#478×C83C2211yescharacteristic, complemented
111#477×C83C2211yescharacteristic, complemented
112#476×C83C2211yescharacteristic, complemented
113#475×C83C2211yescharacteristic, complemented
114#474×C83C2211yescharacteristic, complemented
115#470×C83C2211yescharacteristic, complemented
116#470×C83C2211yescharacteristic, complemented
117#469×C83C2211yescharacteristic, complemented
118#469×C83C2211yescharacteristic, complemented
119#468×C83C2211yescharacteristic, complemented
120#468×C83C2211yescharacteristic, complemented
121#468×C83C2211yescharacteristic, complemented
122#468×C83C2211yescharacteristic, complemented
123#467×C83C2211yescharacteristic, complemented
124#467×C83C2211yescharacteristic, complemented
125#467×C83C2211yescharacteristic, complemented
126#467×C83C2211yescharacteristic, complemented
127#467×C83C2211yescharacteristic, complemented
128#467×C83C2211yescharacteristic, complemented
129#466×C83C2211yescharacteristic
130#466×C83C2211yescharacteristic
131#466×C83C2211yescharacteristic
132#466×C83C2211yescharacteristic
133#466×C83C2211yescharacteristic, complemented
134#466×C83C2211yescharacteristic, complemented
135#465×C83C2211yescharacteristic
136#465×C83C2211yescharacteristic
137#465×C83C2211yescharacteristic
138#465×C83C2211yescharacteristic
139#465×C83C2211yescharacteristic, complemented
140#465×C83C2211yescharacteristic, complemented
141#465×C83C2211yescharacteristic, complemented
142#465×C83C2211yescharacteristic, complemented
143#465×C83C2211yescharacteristic, complemented
144#465×C83C2211yescharacteristic, complemented
145#465×C83C2211yescharacteristic, complemented
146#465×C83C2211yescharacteristic, complemented
147#464×C83C2211yescharacteristic, complemented
148#464×C83C2211yescharacteristic, complemented
149#463×C83C2211yescharacteristic, complemented
150#463×C83C2211yescharacteristic, complemented
151#462×C83C2211yescharacteristic, complemented
152#461×C83C2211yescharacteristic, complemented
153#460×C83C2211yescharacteristic, complemented
154#459×C83C2211yescharacteristic, complemented
155#452×C83C2211yescharacteristic, complemented
156#452×C83C2211yescharacteristic, complemented
157#452×C83C2211yescharacteristic, complemented
158#452×C83C2211yescharacteristic, complemented
159#452×C83C2211yescharacteristic, complemented
160#452×C83C2211yescharacteristic, complemented
161#451×C83C2211yescharacteristic, complemented
162#450×C83C2211yescharacteristic, complemented
163#449×C83C2211yescharacteristic, complemented
164#449×C83C2211yescharacteristic, complemented
165#449×C83C2211yescharacteristic, complemented
166#449×C83C2211yescharacteristic, complemented
167#449×C83C2211yescharacteristic, complemented
168#449×C83C2211yescharacteristic, complemented
169#448×C83C2211yescharacteristic, complemented
170#447×C83C2211yescharacteristic, complemented
171#442×C83C2211yescharacteristic, complemented
172#442×C83C2211yescharacteristic, complemented
173#441×C83C2211yescharacteristic, complemented
174#441×C83C2211yescharacteristic, complemented
175#440×C83C2211yescharacteristic, complemented
176#440×C83C2211yescharacteristic, complemented
177#440×C83C2211yescharacteristic, complemented
178#440×C83C2211yescharacteristic, complemented
179#435×C83C2211yescharacteristic
180#435×C83C2211yescharacteristic
181#435×C83C2211yescharacteristic
182#435×C83C2211yescharacteristic
183#435×C83C2211yescharacteristic, complemented
184#435×C83C2211yescharacteristic, complemented
185#435×C83C2211yescharacteristic, complemented
186#435×C83C2211yescharacteristic, complemented
187#428×C83C2211yescharacteristic, complemented
188#428×C83C2211yescharacteristic, complemented
189#427×C83C2211yescharacteristic, complemented
190#427×C83C2211yescharacteristic, complemented
191C2×C4⋊C8×C83C2211yescharacteristic, complemented
192#419×C83C2211yescharacteristic, complemented
193#418×C83C2211yescharacteristic, complemented
194#417×C83C2211yescharacteristic, complemented
195#417×C83C2211yescharacteristic, complemented
196#416×C83C2211yescharacteristic, complemented
197#416×C83C2211yescharacteristic, complemented
198#416×C83C2211yescharacteristic, complemented
199#416×C83C2211yescharacteristic, complemented
200C2×C22⋊C8×C83C2211yescharacteristic
201C2×C22⋊C8×C83C2211yescharacteristic, complemented
202C2×#97×C83C2211yescharacteristic, complemented
203C2×#41×C83—21no—
204C2×#41×C83C2311yescharacteristic
205C2×#41×C83C2311yescharacteristic
206C2×#41×C83C2311yescharacteristic
207C2×#41×C83C2311yescharacteristic
208C2×#41×C83C2311yescharacteristic
209C2×#41×C83C2311yescharacteristic
210C22×Q8×C83C2311yescharacteristic
211C22×D4×C83—21no—
212C22×D4×C83D411yescharacteristic
213C22×D4×C83C2311yescharacteristic
214C23×C4×C83C2311yescharacteristic
215C23×C4×C83C2311yescharacteristic
216#137×C83—42no—
217AGL(1,ℤ/8)×C83—42no—
218#135×C83—42no—
219#135×C83—42no—
220C2×Q16×C83C2311yescharacteristic
221C2×Q16×C83C2311yescharacteristic
222C2×Q16×C83C2311yescharacteristic
223C2×Q16×C83C2311yescharacteristic
224C2×SD16×C83C2311yescharacteristic
225C2×SD16×C83C2311yescharacteristic
226C2×SD16×C83C2311yescharacteristic
227C2×SD16×C83C2311yescharacteristic
228C2×SD16×C83C2311yescharacteristic
229C2×SD16×C83C2311yescharacteristic
230C2×SD16×C83C2311yescharacteristic
231C2×SD16×C83C2311yescharacteristic
232C2×D8×C83C2311yescharacteristic
233C2×D8×C83C2311yescharacteristic
234C2×D8×C83C2311yescharacteristic
235C2×D8×C83C2311yescharacteristic
236C2×M16×C83—42no—
237C2×M16×C83C2311yescharacteristic
238C2×M16×C83C2311yescharacteristic
239C2×M16×C83C2311yescharacteristic
240C2×M16×C83C2311yescharacteristic
241C22×C8×C83—42no—
242C22×C8×C83C2311yescharacteristic
243C22×C8×C83C2311yescharacteristic
244C22×C8×C83C2311yescharacteristic
245C22×C8×C83C2311yescharacteristic
246C22×C8×C83C2311yescharacteristic
247C22×C8×C83C2311yescharacteristic
248C22×C8×C83C2311yescharacteristic
249C22×C8×C83C2311yescharacteristic
250C4⋊Q8×C83C2311yescharacteristic
251C4⋊Q8×C83C2311yescharacteristic
252C4⋊Q8×C83C2311yescharacteristic
253#127×C83—21no—
254#127×C83—21no—
255#127×C83C2311yescharacteristic
256#126×C83—21no—
257#126×C83—21no—
258#126×C83—21no—
259#126×C83—21no—
260#126×C83—21no—
261#126×C83—21no—
262#126×C83—21no—
263#126×C83—21no—
264#126×C83—21no—
265#126×C83—21no—
266#125×C83—21no—
267#125×C83—21no—
268#125×C83—21no—
269#125×C83C2311yescharacteristic
270#125×C83C2311yescharacteristic
271#124×C83—21no—
272#124×C83—21no—
273#124×C83—21no—
274#124×C83—21no—
275#124×C83—21no—
276#124×C83—21no—
277#124×C83—21no—
278#124×C83—21no—
279#124×C83—21no—
280#124×C83C2311yescharacteristic
281#124×C83C2311yescharacteristic
282#123×C83—21no—
283#123×C83—21no—
284#123×C83—21no—
285#123×C83—21no—
286#123×C83—21no—
287#123×C83—21no—
288#123×C83—21no—
289#123×C83—21no—
290#123×C83—21no—
291#123×C83—21no—
292#123×C83—21no—
293#123×C83—21no—
294#123×C83—21no—
295#123×C83—21no—
296#123×C83—21no—
297#123×C83—21no—
298#123×C83—21no—
299#123×C83—21no—
300C22⋊Q8×C83—21no—
301C22⋊Q8×C83—21no—
302C22⋊Q8×C83—21no—
303C22⋊Q8×C83—21no—
304C22⋊Q8×C83—21no—
305C22⋊Q8×C83C2311yescharacteristic
306C22⋊Q8×C83C2311yescharacteristic
307C22⋊Q8×C83C2311yescharacteristic
308C22⋊Q8×C83C2311yescharacteristic
309C22⋊Q8×C83C2311yescharacteristic
310C22⋊Q8×C83C2311yescharacteristic
311C22⋊Q8×C83C2311yescharacteristic
312C22⋊Q8×C83C2311yescharacteristic
313C22⋊Q8×C83C2311yescharacteristic
314C22⋊Q8×C83C2311yescharacteristic
315C22⋊Q8×C83C2311yescharacteristic
316C22⋊Q8×C83C2311yescharacteristic
317#121×C83—21no—
318#121×C83—21no—
319#121×C83—21no—
320#121×C83—21no—
321#121×C83—21no—
322#121×C83—21no—
323#121×C83—21no—
324#121×C83—21no—
325#121×C83—21no—
326#121×C83—21no—
327#121×C83—21no—
328#121×C83—21no—
329#121×C83—21no—
330#121×C83—21no—
331#121×C83—21no—
332#121×C83—21no—
333#121×C83—21no—
334#121×C83C2311yescharacteristic
335#121×C83C2311yescharacteristic
336#121×C83C2311yescharacteristic
337#121×C83C2311yescharacteristic
338#121×C83C2311yescharacteristic
339#121×C83C2311yescharacteristic
340#121×C83C2311yescharacteristic
341#121×C83C2311yescharacteristic
342#121×C83C2311yescharacteristic
343#121×C83C2311yescharacteristic
344#121×C83C2311yescharacteristic
345#121×C83C2311yescharacteristic
346#120×C83—21no—
347#120×C83—21no—
348#120×C83—21no—
349#120×C83—21no—
350#120×C83—21no—
351#120×C83—21no—
352#120×C83—21no—
353#120×C83—21no—
354C4×Q8×C83—21no—
355C4×Q8×C83—21no—
356C4×Q8×C83—21no—
357C4×Q8×C83C2311yescharacteristic
358C4×Q8×C83C2311yescharacteristic
359C4×Q8×C83C2311yescharacteristic
360C4×Q8×C83C2311yescharacteristic
361C4×D4×C83—21no—
362C4×D4×C83—21no—
363C4×D4×C83—21no—
364C4×D4×C83—21no—
365C4×D4×C83—21no—
366C4×D4×C83—21no—
367C4×D4×C83—21no—
368C4×D4×C83—21no—
369C4×D4×C83—21no—
370C4×D4×C83—21no—
371C4×D4×C83—21no—
372C4×D4×C83—21no—
373C4×D4×C83—21no—
374C4×D4×C83—21no—
375C4×D4×C83—21no—
376C4×D4×C83—21no—
377C4×D4×C83—21no—
378C4×D4×C83—21no—
379C4×D4×C83—21no—
380C4×D4×C83—21no—
381C4×D4×C83—21no—
382C4×D4×C83D411yescharacteristic
383C4×D4×C83D411yescharacteristic
384C4×D4×C83D411yescharacteristic
385C4×D4×C83D411yescharacteristic
386C4×D4×C83C2311yescharacteristic
387C4×D4×C83C2311yescharacteristic
388C4×D4×C83C2311yescharacteristic
389C4×D4×C83C2311yescharacteristic
390C4×D4×C83C2311yescharacteristic
391C4×D4×C83C2311yescharacteristic
392C4×D4×C83C2311yescharacteristic
393C4×D4×C83C2311yescharacteristic
394#117×C83—21no—
395#117×C83—21no—
396#117×C83—21no—
397#117×C83—21no—
398#117×C83—21no—
399#117×C83—21no—
400#117×C83—21no—
401#117×C83C2311yescharacteristic
402#117×C83C2311yescharacteristic
403#117×C83C2311yescharacteristic
404#117×C83C2311yescharacteristic
405#117×C83C2311yescharacteristic
406#117×C83C2311yescharacteristic
407C2×C4⋊C4×C83—21no—
408C2×C4⋊C4×C83—21no—
409C2×C4⋊C4×C83—21no—
410C2×C4⋊C4×C83D411yescharacteristic
411C2×C4⋊C4×C83C2311yescharacteristic
412C2×C4⋊C4×C83C2311yescharacteristic
413C2×C22⋊C4×C83—21no—
414C2×C22⋊C4×C83—21no—
415C2×C22⋊C4×C83—21no—
416C2×C22⋊C4×C83—21no—
417C2×C22⋊C4×C83D411yescharacteristic
418C2×C22⋊C4×C83D411yescharacteristic
419C2×C42×C83C2311yescharacteristic
420#107×C83C2311yescharacteristic
421#107×C83C2311yescharacteristic
422#107×C83C2311yescharacteristic
423#107×C83C2311yescharacteristic
424#107×C83C2311yescharacteristic
425#107×C83C2311yescharacteristic
426#107×C83C2311yescharacteristic
427#107×C83C2311yescharacteristic
428#106×C83C2311yescharacteristic
429#106×C83C2311yescharacteristic
430#106×C83C2311yescharacteristic
431#106×C83C2311yescharacteristic
432#106×C83C2311yescharacteristic
433#106×C83C2311yescharacteristic
434#106×C83C2311yescharacteristic
435#106×C83C2311yescharacteristic
436C4⋊C8×C83C2311yescharacteristic
437C4⋊C8×C83C2311yescharacteristic
438C4⋊C8×C83C2311yescharacteristic
439C4⋊C8×C83C2311yescharacteristic
440#103×C83C2311yescharacteristic
441#103×C83C2311yescharacteristic
442#103×C83C2311yescharacteristic
443#103×C83C2311yescharacteristic
444#103×C83C2311yescharacteristic
445#103×C83C2311yescharacteristic
446#103×C83C2311yescharacteristic
447#103×C83C2311yescharacteristic
448#103×C83C2311yescharacteristic
449#103×C83C2311yescharacteristic
450#103×C83C2311yescharacteristic
451#103×C83C2311yescharacteristic
452#103×C83C2311yescharacteristic
453#103×C83C2311yescharacteristic
454#103×C83C2311yescharacteristic
455#103×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
465#102×C83C2311yescharacteristic
466#102×C83C2311yescharacteristic
467#102×C83C2311yescharacteristic
468#102×C83C2311yescharacteristic
469#102×C83C2311yescharacteristic
470#102×C83C2311yescharacteristic
471#102×C83C2311yescharacteristic
472C22⋊C8×C83C2311yescharacteristic
473C22⋊C8×C83C2311yescharacteristic
474C22⋊C8×C83C2311yescharacteristic
475C22⋊C8×C83C2311yescharacteristic
476C22⋊C8×C83C2311yescharacteristic
477C22⋊C8×C83C2311yescharacteristic
478C22⋊C8×C83C2311yescharacteristic
479C22⋊C8×C83C2311yescharacteristic
480#97×C83C2311yescharacteristic
481#97×C83C2311yescharacteristic
482#97×C83C2311yescharacteristic
483#97×C83C2311yescharacteristic
484C24×C83—21no—
485C24×C83C2×D411yescharacteristic
486C24×C83C2×D411yescharacteristic
487#41×C83—44no—
488#41×C83—41no—
489#41×C83—41no—
490#41×C83—41no—
491#41×C83—41no—
492#41×C83—41no—
493#41×C83—41no—
494#41×C83—41no—
495#41×C83—41no—
496#41×C83—41no—
497#41×C83—41no—
498#41×C83—41no—
499#41×C83—41no—
500C2×Q8×C83—21no—
501C2×Q8×C83—21no—
502C2×Q8×C83—21no—
503C2×Q8×C83—41no—
504C2×Q8×C83—41no—
505C2×Q8×C83C2411yescharacteristic
506C2×Q8×C83C2411yescharacteristic
507C2×Q8×C83C2411yescharacteristic
508C2×Q8×C83C2411yescharacteristic
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—21no—
516C2×D4×C83—21no—
517C2×D4×C83—21no—
518C2×D4×C83—21no—
519C2×D4×C83—21no—
520C2×D4×C83—21no—
521C2×D4×C83—21no—
522C2×D4×C83—21no—
523C2×D4×C83—21no—
524C2×D4×C83—21no—
525C2×D4×C83—21no—
526C2×D4×C83—21no—
527C2×D4×C83—21no—
528C2×D4×C83—21no—
529C2×D4×C83—21no—
530C2×D4×C83—41no—
531C2×D4×C83—41no—
532C2×D4×C83—42no—
533C2×D4×C83—44no—
534C2×D4×C83C2×D411yescharacteristic
535C2×D4×C83C2×D411yescharacteristic
536C2×D4×C83C2×D411yescharacteristic
537C2×D4×C83C2×D411yescharacteristic
538C2×D4×C83C2411yescharacteristic
539C2×D4×C83C2411yescharacteristic
540C2×D4×C83C2411yescharacteristic
541C2×D4×C83C2411yescharacteristic
542C22×C4×C83—21no—
543C22×C4×C83—21no—
544C22×C4×C83—21no—
545C22×C4×C83—21no—
546C22×C4×C83—21no—
547C22×C4×C83—21no—
548C22×C4×C83—21no—
549C22×C4×C83—21no—
550C22×C4×C83—21no—
551C22×C4×C83—21no—
552C22×C4×C83—21no—
553C22×C4×C83—21no—
554C22×C4×C83—21no—
555C22×C4×C83—41no—
556C22×C4×C83—41no—
557C22×C4×C83—41no—
558C22×C4×C83—41no—
559C22×C4×C83C2×D411yescharacteristic
560C22×C4×C83C2×D411yescharacteristic
561C22×C4×C83C2×D411yescharacteristic
562C22×C4×C83C2×D411yescharacteristic
563C22×C4×C83C2×D411yescharacteristic
564C22×C4×C83C2×D411yescharacteristic
565C22×C4×C83C2×D411yescharacteristic
566C22×C4×C83C2×D411yescharacteristic
567C22×C4×C83C2411yescharacteristic
568C22×C4×C83C2411yescharacteristic
569C22×C4×C83C2411yescharacteristic
570C22×C4×C83C2411yescharacteristic
571C22×C4×C83C2411yescharacteristic
572Q16×C83—22no—
573Q16×C83—41no—
574Q16×C83—41no—
575Q16×C83—41no—
576SD16×C83—22no—
577SD16×C83—22no—
578SD16×C83—41no—
579SD16×C83—41no—
580SD16×C83—41no—
581SD16×C83—41no—
582SD16×C83—41no—
583SD16×C83—41no—
584D8×C83—22no—
585D8×C83—41no—
586D8×C83—41no—
587D8×C83—41no—
588M16×C83—22no—
589M16×C83—22no—
590M16×C83—41no—
591M16×C83—41no—
592C2×C8×C83—22no—
593C2×C8×C83—22no—
594C2×C8×C83—22no—
595C2×C8×C83—41no—
596C2×C8×C83—41no—
597C2×C8×C83—41no—
598C2×C8×C83—41no—
599C2×C8×C83—41no—
600C2×C8×C83C2411yescharacteristic
601C2×C8×C83C2411yescharacteristic
602C2×C8×C83C2411yescharacteristic
603C2×C8×C83C2411yescharacteristic
604C2×C8×C83C2411yescharacteristic
605C2×C8×C83C2411yescharacteristic
606C2×C8×C83C2411yescharacteristic
607C2×C8×C83C2411yescharacteristic
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×C83—21no—
617C4⋊C4×C83—21no—
618C4⋊C4×C83—21no—
619C4⋊C4×C83—21no—
620C4⋊C4×C83—21no—
621C4⋊C4×C83—21no—
622C4⋊C4×C83—21no—
623C4⋊C4×C83—21no—
624C4⋊C4×C83—21no—
625C4⋊C4×C83—21no—
626C4⋊C4×C83—21no—
627C4⋊C4×C83—21no—
628C4⋊C4×C83—21no—
629C4⋊C4×C83—21no—
630C4⋊C4×C83—21no—
631C4⋊C4×C83—21no—
632C4⋊C4×C83—21no—
633C4⋊C4×C83—21no—
634C4⋊C4×C83C2×D411yescharacteristic
635C4⋊C4×C83C2×D411yescharacteristic
636C4⋊C4×C83C2×D411yescharacteristic
637C4⋊C4×C83C2×D411yescharacteristic
638C4⋊C4×C83C2411yescharacteristic
639C4⋊C4×C83C2411yescharacteristic
640C4⋊C4×C83C2411yescharacteristic
641C4⋊C4×C83C2411yescharacteristic
642C4⋊C4×C83C2411yescharacteristic
643C4⋊C4×C83C2411yescharacteristic
644C4⋊C4×C83C2411yescharacteristic
645C4⋊C4×C83C2411yescharacteristic
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×C83—21no—
668C22⋊C4×C83—21no—
669C22⋊C4×C83—21no—
670C22⋊C4×C83—21no—
671C22⋊C4×C83—21no—
672C22⋊C4×C83—21no—
673C22⋊C4×C83—21no—
674C22⋊C4×C83—21no—
675C22⋊C4×C83—21no—
676C22⋊C4×C83—21no—
677C22⋊C4×C83—21no—
678C22⋊C4×C83—21no—
679C22⋊C4×C83—21no—
680C22⋊C4×C83—21no—
681C22⋊C4×C83—21no—
682C22⋊C4×C83—21no—
683C22⋊C4×C83—21no—
684C22⋊C4×C83C2×D411yescharacteristic
685C22⋊C4×C83C2×D411yescharacteristic
686C22⋊C4×C83C2×D411yescharacteristic
687C22⋊C4×C83C2×D411yescharacteristic
688C22⋊C4×C83C2×D411yescharacteristic
689C22⋊C4×C83C2×D411yescharacteristic
690C22⋊C4×C83C2×D411yescharacteristic
691C22⋊C4×C83C2×D411yescharacteristic
692C42×C83—21no—
693C42×C83—21no—
694C42×C83—21no—
695C42×C83—21no—
696C42×C83—21no—
697C42×C83—21no—
698C42×C83—21no—
699C42×C83—21no—
700C42×C83—21no—
701C42×C83—21no—
702C42×C83C2×D411yescharacteristic
703C42×C83C2×D411yescharacteristic
704C42×C83C2411yescharacteristic
705C42×C83C2411yescharacteristic
706C23×C83—22no—
707C23×C83—22no—
708C23×C83—21no—
709C23×C83—21no—
710C23×C83—21no—
711C23×C83—21no—
712C23×C83—41no—
713C23×C83—41no—
714C23×C83—41no—
715C23×C83—41no—
716C23×C83—42no—
717C23×C83—81no—
718C23×C83—81no—
719C23×C83C22×D411yescharacteristic
720C23×C83C22×D411yescharacteristic
721C23×C83C22×D411yescharacteristic
722C23×C83C22×D411yescharacteristic
723C23×C83C22×D411yescharacteristic
724Q8×C83—21no—
725Q8×C83—21no—
726Q8×C83—21no—
727Q8×C83—21no—
728Q8×C83—21no—
729Q8×C83—21no—
730Q8×C83—21no—
731Q8×C83—21no—
732Q8×C83—42no—
733Q8×C83—81no—
734Q8×C83—81no—
735D4×C83—21no—
736D4×C83—21no—
737D4×C83—21no—
738D4×C83—21no—
739D4×C83—21no—
740D4×C83—21no—
741D4×C83—21no—
742D4×C83—21no—
743D4×C83—41no—
744D4×C83—41no—
745D4×C83—41no—
746D4×C83—41no—
747D4×C83—42no—
748D4×C83—42no—
749D4×C83—42no—
750D4×C83—42no—
751D4×C83—42no—
752D4×C83—42no—
753D4×C83—42no—
754D4×C83—81no—
755D4×C83—81no—
756D4×C83—81no—
757D4×C83—81no—
758D4×C83—81no—
759D4×C83—81no—
760D4×C83—81no—
761D4×C83—81no—
762D4×C83—81no—
763D4×C83—81no—
764D4×C83—81no—
765D4×C83—81no—
766D4×C83—81no—
767D4×C83—81no—
768C2×C4×C83—22no—
769C2×C4×C83—21no—
770C2×C4×C83—21no—
771C2×C4×C83—21no—
772C2×C4×C83—21no—
773C2×C4×C83—21no—
774C2×C4×C83—21no—
775C2×C4×C83—21no—
776C2×C4×C83—21no—
777C2×C4×C83—21no—
778C2×C4×C83—21no—
779C2×C4×C83—21no—
780C2×C4×C83—21no—
781C2×C4×C83—21no—
782C2×C4×C83—21no—
783C2×C4×C83—21no—
784C2×C4×C83—21no—
785C2×C4×C83—21no—
786C2×C4×C83—21no—
787C2×C4×C83—21no—
788C2×C4×C83—21no—
789C2×C4×C83—21no—
790C2×C4×C83—21no—
791C2×C4×C83—41no—
792C2×C4×C83—41no—
793C2×C4×C83—41no—
794C2×C4×C83—41no—
795C2×C4×C83—41no—
796C2×C4×C83—41no—
797C2×C4×C83—41no—
798C2×C4×C83—42no—
799C2×C4×C83—42no—
800C2×C4×C83—42no—
801C2×C4×C83—81no—
802C2×C4×C83—81no—
803C2×C4×C83—81no—
804C2×C4×C83—81no—
805C2×C4×C83—81no—
806C2×C4×C83—81no—
807C2×C4×C83—81no—
808C2×C4×C83—81no—
809C2×C4×C83—81no—
810C2×C4×C83—81no—
811C2×C4×C83C22×D411yescharacteristic
812C2×C4×C83C22×D411yescharacteristic
813C2×C4×C83C22×D411yescharacteristic
814C2×C4×C83C22×D411yescharacteristic
815C2×C4×C83C22×D411yescharacteristic
816C2×C4×C83C22×D411yescharacteristic
817C2×C4×C83C22×D411yescharacteristic
818C2×C4×C83C22×D411yescharacteristic
819C2×C4×C83C22×D411yescharacteristic
820C2×C4×C83C2511yescharacteristic
821C8×C83—21no—
822C8×C83—21no—
823C8×C83—21no—
824C8×C83—21no—
825C8×C83—21no—
826C8×C83—21no—
827C8×C83—21no—
828C8×C83H(5,𝔽2)12yes—
829C22×C83—21no—
830C22×C83—21no—
831C22×C83—21no—
832C22×C83—21no—
833C22×C83—21no—
834C22×C83—21no—
835C22×C83—21no—
836C22×C83—21no—
837C22×C83—21no—
838C22×C83—21no—
839C22×C83—21no—
840C22×C83—21no—
841C22×C83—21no—
842C22×C83—21no—
843C22×C83—44no—
844C22×C83—41no—
845C22×C83—41no—
846C22×C83—41no—
847C22×C83—41no—
848C22×C83—41no—
849C22×C83—41no—
850C22×C83—41no—
851C22×C83—41no—
852C22×C83—41no—
853C22×C83—41no—
854C22×C83—41no—
855C22×C83—41no—
856C22×C83—82no—
857C22×C83—162no—
858C22×C83#57512yes—
859C22×C83C23×D411yescharacteristic
860C4×C83—21no—
861C4×C83—21no—
862C4×C83—21no—
863C4×C83—21no—
864C4×C83—21no—
865C4×C83—21no—
866C4×C83—21no—
867C4×C83—21no—
868C4×C83—21no—
869C4×C83—41no—
870C4×C83—41no—
871C4×C83—41no—
872C4×C83—41no—
873C4×C83—41no—
874C4×C83—41no—
875C4×C83—41no—
876C4×C83—41no—
877C4×C83—41no—
878C4×C83—41no—
879C4×C83—41no—
880C4×C83—41no—
881C4×C83C2×H(5,𝔽2)11yescharacteristic
882C4×C83#58511yescharacteristic
883#62255C8311yesmaximal, characteristic, direct product factor, Sylow
884C2×C83—22no—
885C2×C83—41no—
886C2×C83—41no—
887C2×C83—41no—
888C2×C83—41no—
889C2×C83—81no—
890C2×C83—81no—
891C2×C83—81no—
892C2×C83—81no—
893C2×C83#349611yescharacteristic
894C2×C83C2×#57511yescharacteristic
895C2×C83#358411yescharacteristic
896#3506C2×C8311yescharacteristic, complemented
897#3505C2×C8311yescharacteristic, complemented
898#3350C2×C8311yescharacteristic, complemented
899#3349C2×C8311yescharacteristic, complemented
900#3348C2×C8311yescharacteristic, complemented
901#3347C2×C8311yescharacteristic, complemented
902#3321C2×C8311yescharacteristic, complemented
903#3319C2×C8311yescharacteristic, complemented
904#3317C2×C8311yescharacteristic, complemented
905#3315C2×C8311yescharacteristic, complemented
906#3313C2×C8311yescharacteristic, complemented
907#3311C2×C8311yescharacteristic, complemented
908#3309C2×C8311yescharacteristic, complemented
909#3307C2×C8311yescharacteristic, complemented
910#3271C2×C8311yescharacteristic, complemented
911#3269C2×C8311yescharacteristic, complemented
912#3268C2×C8311yescharacteristic, complemented
913#3267C2×C8311yescharacteristic, complemented
914#3248C2×C8311yescharacteristic, complemented
915#3247C2×C8311yescharacteristic, complemented
916#3191C2×C8311yescharacteristic, complemented
917#3191C2×C8311yescharacteristic, complemented
918#3190C2×C8311yescharacteristic, complemented
919#3188C2×C8311yescharacteristic, complemented
920#3181C2×C8311yescharacteristic, complemented
921#3180C2×C8311yescharacteristic, complemented
922#3056C2×C8311yescharacteristic, complemented
923#3055C2×C8311yescharacteristic, complemented
924#3050C2×C8311yescharacteristic, complemented
925#3050C2×C8311yescharacteristic, complemented
926C2×#435C2×C8311yescharacteristic, complemented
927C83#6225511yescharacteristic, direct product factor, Sylow
928C2×#137C22×C8311yescharacteristic, complemented
929C2×AGL(1,ℤ/8)C22×C8311yescharacteristic, complemented
930C2×#135C22×C8311yescharacteristic, complemented
931C2×#135C22×C8311yescharacteristic, complemented
932C22×M16C22×C8311yescharacteristic
933C23×C8C22×C8311yescharacteristic, complemented
934#559—21no—
935#559—21no—
936#556C22×C8311yescharacteristic
937#556C22×C8311yescharacteristic, complemented
938#555C22×C8311yescharacteristic
939#555C22×C8311yescharacteristic, complemented
940#553—21no—
941#553—21no—
942#553—21no—
943#553—21no—
944#553C22×C8311yescharacteristic
945#553C22×C8311yescharacteristic
946#552C22×C8311yescharacteristic
947#552C22×C8311yescharacteristic
948#551—21no—
949#551—21no—
950#550C22×C8311yescharacteristic
951#550C22×C8311yescharacteristic, complemented
952#548C22×C8311yescharacteristic
953#548C22×C8311yescharacteristic
954#547C22×C8311yescharacteristic
955#547C22×C8311yescharacteristic, complemented
956#546C22×C8311yescharacteristic
957#546C22×C8311yescharacteristic
958#539—21no—
959#538—21no—
960#538—21no—
961#538—21no—
962#535—21no—
963#534—21no—
964#533C22×C8311yescharacteristic, complemented
965#532C22×C8311yescharacteristic, complemented
966#529C22×C8311yescharacteristic
967#529C22×C8311yescharacteristic
968#525C22×C8311yescharacteristic
969#525C22×C8311yescharacteristic
970#525C22×C8311yescharacteristic
971#525C22×C8311yescharacteristic
972#525C22×C8311yescharacteristic, complemented
973#525C22×C8311yescharacteristic, complemented
974C2×C22⋊Q8C22×C8311yescharacteristic
975C2×#121C22×C8311yescharacteristic
976#520—21no—
977#518—21no—
978C2×C4×D4C22×C8311yescharacteristic
979#501C22×C8311yescharacteristic, complemented
980#501C22×C8311yescharacteristic, complemented
981#497C22×C8311yescharacteristic, complemented
982#496C22×C8311yescharacteristic, complemented
983#491C22×C8311yescharacteristic, complemented
984#490C22×C8311yescharacteristic, complemented
985#489C22×C8311yescharacteristic, complemented
986#489C22×C8311yescharacteristic, complemented
987#485C22×C8311yescharacteristic, complemented
988#485C22×C8311yescharacteristic, complemented
989#485C22×C8311yescharacteristic, complemented
990#485C22×C8311yescharacteristic, complemented
991#485C22×C8311yescharacteristic, complemented
992#485C22×C8311yescharacteristic, complemented
993#484C22×C8311yescharacteristic, complemented
994#483C22×C8311yescharacteristic, complemented
995#482C22×C8311yescharacteristic, complemented
996#482C22×C8311yescharacteristic, complemented
997#482C22×C8311yescharacteristic, complemented
998#482C22×C8311yescharacteristic, complemented
999#482C22×C8311yescharacteristic, complemented
1000#482C22×C8311yescharacteristic, complemented
1001#481C22×C8311yescharacteristic, complemented
1002#480C22×C8311yescharacteristic, complemented
1003#479C22×C8311yescharacteristic, complemented
1004#479C22×C8311yescharacteristic, complemented
1005#478C22×C8311yescharacteristic, complemented
1006#478C22×C8311yescharacteristic, complemented
1007#477C22×C8311yescharacteristic, complemented
1008#476C22×C8311yescharacteristic, complemented
1009#475C22×C8311yescharacteristic, complemented
1010#474C22×C8311yescharacteristic, complemented
1011#470C22×C8311yescharacteristic, complemented
1012#470C22×C8311yescharacteristic, complemented
1013#469C22×C8311yescharacteristic, complemented
1014#469C22×C8311yescharacteristic, complemented
1015#468C22×C8311yescharacteristic, complemented
1016#468C22×C8311yescharacteristic, complemented
1017#468C22×C8311yescharacteristic, complemented
1018#468C22×C8311yescharacteristic, complemented
1019#467C22×C8311yescharacteristic, complemented
1020#467C22×C8311yescharacteristic, complemented
1021#467C22×C8311yescharacteristic, complemented
1022#467C22×C8311yescharacteristic, complemented
1023#467C22×C8311yescharacteristic, complemented
1024#467C22×C8311yescharacteristic, complemented
1025#466C22×C8311yescharacteristic
1026#466C22×C8311yescharacteristic
1027#466C22×C8311yescharacteristic
1028#466C22×C8311yescharacteristic
1029#466C22×C8311yescharacteristic, complemented
1030#466C22×C8311yescharacteristic, complemented
1031#465C22×C8311yescharacteristic
1032#465C22×C8311yescharacteristic
1033#465C22×C8311yescharacteristic
1034#465C22×C8311yescharacteristic
1035#465C22×C8311yescharacteristic, complemented
1036#465C22×C8311yescharacteristic, complemented
1037#465C22×C8311yescharacteristic, complemented
1038#465C22×C8311yescharacteristic, complemented
1039#465C22×C8311yescharacteristic, complemented
1040#465C22×C8311yescharacteristic, complemented
1041#465C22×C8311yescharacteristic, complemented
1042#465C22×C8311yescharacteristic, complemented
1043#464C22×C8311yescharacteristic, complemented
1044#464C22×C8311yescharacteristic, complemented
1045#463C22×C8311yescharacteristic, complemented
1046#463C22×C8311yescharacteristic, complemented
1047#462C22×C8311yescharacteristic, complemented
1048#461C22×C8311yescharacteristic, complemented
1049#460C22×C8311yescharacteristic, complemented
1050#459C22×C8311yescharacteristic, complemented
1051#452C22×C8311yescharacteristic, complemented
1052#452C22×C8311yescharacteristic, complemented
1053#452C22×C8311yescharacteristic, complemented
1054#452C22×C8311yescharacteristic, complemented
1055#452C22×C8311yescharacteristic, complemented
1056#452C22×C8311yescharacteristic, complemented
1057#451C22×C8311yescharacteristic, complemented
1058#450C22×C8311yescharacteristic, complemented
1059#449C22×C8311yescharacteristic, complemented
1060#449C22×C8311yescharacteristic, complemented
1061#449C22×C8311yescharacteristic, complemented
1062#449C22×C8311yescharacteristic, complemented
1063#449C22×C8311yescharacteristic, complemented
1064#449C22×C8311yescharacteristic, complemented
1065#448C22×C8311yescharacteristic, complemented
1066#447C22×C8311yescharacteristic, complemented
1067#442C22×C8311yescharacteristic, complemented
1068#442C22×C8311yescharacteristic, complemented
1069#441C22×C8311yescharacteristic, complemented
1070#441C22×C8311yescharacteristic, complemented
1071#440C22×C8311yescharacteristic, complemented
1072#440C22×C8311yescharacteristic, complemented
1073#440C22×C8311yescharacteristic, complemented
1074#440C22×C8311yescharacteristic, complemented
1075#435C22×C8311yescharacteristic
1076#435C22×C8311yescharacteristic
1077#435C22×C8311yescharacteristic
1078#435C22×C8311yescharacteristic
1079#435C22×C8311yescharacteristic, complemented
1080#435C22×C8311yescharacteristic, complemented
1081#435C22×C8311yescharacteristic, complemented
1082#435C22×C8311yescharacteristic, complemented
1083#428C22×C8311yescharacteristic, complemented
1084#428C22×C8311yescharacteristic, complemented
1085#427C22×C8311yescharacteristic, complemented
1086#427C22×C8311yescharacteristic, complemented
1087C2×C4⋊C8C22×C8311yescharacteristic, complemented
1088#419C22×C8311yescharacteristic, complemented
1089#418C22×C8311yescharacteristic, complemented
1090#417C22×C8311yescharacteristic, complemented
1091#417C22×C8311yescharacteristic, complemented
1092#416C22×C8311yescharacteristic, complemented
1093#416C22×C8311yescharacteristic, complemented
1094#416C22×C8311yescharacteristic, complemented
1095#416C22×C8311yescharacteristic, complemented
1096C2×C22⋊C8C22×C8311yescharacteristic
1097C2×C22⋊C8C22×C8311yescharacteristic, complemented
1098C2×#97C22×C8311yescharacteristic, complemented
1099C2×#41—21no—
1100C2×#41C23×C8311yescharacteristic
1101C2×#41C23×C8311yescharacteristic
1102C2×#41C23×C8311yescharacteristic
1103C2×#41C23×C8311yescharacteristic
1104C2×#41C23×C8311yescharacteristic
1105C2×#41C23×C8311yescharacteristic
1106C22×Q8C23×C8311yescharacteristic
1107C22×D4—21no—
1108C22×D4D4×C8311yescharacteristic
1109C22×D4C23×C8311yescharacteristic
1110C23×C4C23×C8311yescharacteristic
1111C23×C4C23×C8311yescharacteristic
1112#137—42no—
1113AGL(1,ℤ/8)—42no—
1114#135—42no—
1115#135—42no—
1116C2×Q16C23×C8311yescharacteristic
1117C2×Q16C23×C8311yescharacteristic
1118C2×Q16C23×C8311yescharacteristic
1119C2×Q16C23×C8311yescharacteristic
1120C2×SD16C23×C8311yescharacteristic
1121C2×SD16C23×C8311yescharacteristic
1122C2×SD16C23×C8311yescharacteristic
1123C2×SD16C23×C8311yescharacteristic
1124C2×SD16C23×C8311yescharacteristic
1125C2×SD16C23×C8311yescharacteristic
1126C2×SD16C23×C8311yescharacteristic
1127C2×SD16C23×C8311yescharacteristic
1128C2×D8C23×C8311yescharacteristic
1129C2×D8C23×C8311yescharacteristic
1130C2×D8C23×C8311yescharacteristic
1131C2×D8C23×C8311yescharacteristic
1132C2×M16—42no—
1133C2×M16C23×C8311yescharacteristic
1134C2×M16C23×C8311yescharacteristic
1135C2×M16C23×C8311yescharacteristic
1136C2×M16C23×C8311yescharacteristic
1137C22×C8—42no—
1138C22×C8C23×C8311yescharacteristic
1139C22×C8C23×C8311yescharacteristic
1140C22×C8C23×C8311yescharacteristic
1141C22×C8C23×C8311yescharacteristic
1142C22×C8C23×C8311yescharacteristic
1143C22×C8C23×C8311yescharacteristic
1144C22×C8C23×C8311yescharacteristic
1145C22×C8C23×C8311yescharacteristic
1146C4⋊Q8C23×C8311yescharacteristic
1147C4⋊Q8C23×C8311yescharacteristic
1148C4⋊Q8C23×C8311yescharacteristic
1149#127—21no—
1150#127—21no—
1151#127C23×C8311yescharacteristic
1152#126—21no—
1153#126—21no—
1154#126—21no—
1155#126—21no—
1156#126—21no—
1157#126—21no—
1158#126—21no—
1159#126—21no—
1160#126—21no—
1161#126—21no—
1162#125—21no—
1163#125—21no—
1164#125—21no—
1165#125C23×C8311yescharacteristic
1166#125C23×C8311yescharacteristic
1167#124—21no—
1168#124—21no—
1169#124—21no—
1170#124—21no—
1171#124—21no—
1172#124—21no—
1173#124—21no—
1174#124—21no—
1175#124—21no—
1176#124C23×C8311yescharacteristic
1177#124C23×C8311yescharacteristic
1178#123—21no—
1179#123—21no—
1180#123—21no—
1181#123—21no—
1182#123—21no—
1183#123—21no—
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—21no—
1190#123—21no—
1191#123—21no—
1192#123—21no—
1193#123—21no—
1194#123—21no—
1195#123—21no—
1196C22⋊Q8—21no—
1197C22⋊Q8—21no—
1198C22⋊Q8—21no—
1199C22⋊Q8—21no—
1200C22⋊Q8—21no—
1201C22⋊Q8C23×C8311yescharacteristic
1202C22⋊Q8C23×C8311yescharacteristic
1203C22⋊Q8C23×C8311yescharacteristic
1204C22⋊Q8C23×C8311yescharacteristic
1205C22⋊Q8C23×C8311yescharacteristic
1206C22⋊Q8C23×C8311yescharacteristic
1207C22⋊Q8C23×C8311yescharacteristic
1208C22⋊Q8C23×C8311yescharacteristic
1209C22⋊Q8C23×C8311yescharacteristic
1210C22⋊Q8C23×C8311yescharacteristic
1211C22⋊Q8C23×C8311yescharacteristic
1212C22⋊Q8C23×C8311yescharacteristic
1213#121—21no—
1214#121—21no—
1215#121—21no—
1216#121—21no—
1217#121—21no—
1218#121—21no—
1219#121—21no—
1220#121—21no—
1221#121—21no—
1222#121—21no—
1223#121—21no—
1224#121—21no—
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121C23×C8311yescharacteristic
1231#121C23×C8311yescharacteristic
1232#121C23×C8311yescharacteristic
1233#121C23×C8311yescharacteristic
1234#121C23×C8311yescharacteristic
1235#121C23×C8311yescharacteristic
1236#121C23×C8311yescharacteristic
1237#121C23×C8311yescharacteristic
1238#121C23×C8311yescharacteristic
1239#121C23×C8311yescharacteristic
1240#121C23×C8311yescharacteristic
1241#121C23×C8311yescharacteristic
1242#120—21no—
1243#120—21no—
1244#120—21no—
1245#120—21no—
1246#120—21no—
1247#120—21no—
1248#120—21no—
1249#120—21no—
1250C4×Q8—21no—
1251C4×Q8—21no—
1252C4×Q8—21no—
1253C4×Q8C23×C8311yescharacteristic
1254C4×Q8C23×C8311yescharacteristic
1255C4×Q8C23×C8311yescharacteristic
1256C4×Q8C23×C8311yescharacteristic
1257C4×D4—21no—
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—21no—
1261C4×D4—21no—
1262C4×D4—21no—
1263C4×D4—21no—
1264C4×D4—21no—
1265C4×D4—21no—
1266C4×D4—21no—
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—21no—
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—21no—
1276C4×D4—21no—
1277C4×D4—21no—
1278C4×D4D4×C8311yescharacteristic
1279C4×D4D4×C8311yescharacteristic
1280C4×D4D4×C8311yescharacteristic
1281C4×D4D4×C8311yescharacteristic
1282C4×D4C23×C8311yescharacteristic
1283C4×D4C23×C8311yescharacteristic
1284C4×D4C23×C8311yescharacteristic
1285C4×D4C23×C8311yescharacteristic
1286C4×D4C23×C8311yescharacteristic
1287C4×D4C23×C8311yescharacteristic
1288C4×D4C23×C8311yescharacteristic
1289C4×D4C23×C8311yescharacteristic
1290#117—21no—
1291#117—21no—
1292#117—21no—
1293#117—21no—
1294#117—21no—
1295#117—21no—
1296#117—21no—
1297#117C23×C8311yescharacteristic
1298#117C23×C8311yescharacteristic
1299#117C23×C8311yescharacteristic
1300#117C23×C8311yescharacteristic
1301#117C23×C8311yescharacteristic
1302#117C23×C8311yescharacteristic
1303C2×C4⋊C4—21no—
1304C2×C4⋊C4—21no—
1305C2×C4⋊C4—21no—
1306C2×C4⋊C4D4×C8311yescharacteristic
1307C2×C4⋊C4C23×C8311yescharacteristic
1308C2×C4⋊C4C23×C8311yescharacteristic
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—21no—
1311C2×C22⋊C4—21no—
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4D4×C8311yescharacteristic
1314C2×C22⋊C4D4×C8311yescharacteristic
1315C2×C42C23×C8311yescharacteristic
1316#107C23×C8311yescharacteristic
1317#107C23×C8311yescharacteristic
1318#107C23×C8311yescharacteristic
1319#107C23×C8311yescharacteristic
1320#107C23×C8311yescharacteristic
1321#107C23×C8311yescharacteristic
1322#107C23×C8311yescharacteristic
1323#107C23×C8311yescharacteristic
1324#106C23×C8311yescharacteristic
1325#106C23×C8311yescharacteristic
1326#106C23×C8311yescharacteristic
1327#106C23×C8311yescharacteristic
1328#106C23×C8311yescharacteristic
1329#106C23×C8311yescharacteristic
1330#106C23×C8311yescharacteristic
1331#106C23×C8311yescharacteristic
1332C4⋊C8C23×C8311yescharacteristic
1333C4⋊C8C23×C8311yescharacteristic
1334C4⋊C8C23×C8311yescharacteristic
1335C4⋊C8C23×C8311yescharacteristic
1336#103C23×C8311yescharacteristic
1337#103C23×C8311yescharacteristic
1338#103C23×C8311yescharacteristic
1339#103C23×C8311yescharacteristic
1340#103C23×C8311yescharacteristic
1341#103C23×C8311yescharacteristic
1342#103C23×C8311yescharacteristic
1343#103C23×C8311yescharacteristic
1344#103C23×C8311yescharacteristic
1345#103C23×C8311yescharacteristic
1346#103C23×C8311yescharacteristic
1347#103C23×C8311yescharacteristic
1348#103C23×C8311yescharacteristic
1349#103C23×C8311yescharacteristic
1350#103C23×C8311yescharacteristic
1351#103C23×C8311yescharacteristic
1352#102C23×C8311yescharacteristic
1353#102C23×C8311yescharacteristic
1354#102C23×C8311yescharacteristic
1355#102C23×C8311yescharacteristic
1356#102C23×C8311yescharacteristic
1357#102C23×C8311yescharacteristic
1358#102C23×C8311yescharacteristic
1359#102C23×C8311yescharacteristic
1360#102C23×C8311yescharacteristic
1361#102C23×C8311yescharacteristic
1362#102C23×C8311yescharacteristic
1363#102C23×C8311yescharacteristic
1364#102C23×C8311yescharacteristic
1365#102C23×C8311yescharacteristic
1366#102C23×C8311yescharacteristic
1367#102C23×C8311yescharacteristic
1368C22⋊C8C23×C8311yescharacteristic
1369C22⋊C8C23×C8311yescharacteristic
1370C22⋊C8C23×C8311yescharacteristic
1371C22⋊C8C23×C8311yescharacteristic
1372C22⋊C8C23×C8311yescharacteristic
1373C22⋊C8C23×C8311yescharacteristic
1374C22⋊C8C23×C8311yescharacteristic
1375C22⋊C8C23×C8311yescharacteristic
1376#97C23×C8311yescharacteristic
1377#97C23×C8311yescharacteristic
1378#97C23×C8311yescharacteristic
1379#97C23×C8311yescharacteristic
1380C24—21no—
1381C24C2×D4×C8311yescharacteristic
1382C24C2×D4×C8311yescharacteristic
1383#41—44no—
1384#41—41no—
1385#41—41no—
1386#41—41no—
1387#41—41no—
1388#41—41no—
1389#41—41no—
1390#41—41no—
1391#41—41no—
1392#41—41no—
1393#41—41no—
1394#41—41no—
1395#41—41no—
1396C2×Q8—21no—
1397C2×Q8—21no—
1398C2×Q8—21no—
1399C2×Q8—41no—
1400C2×Q8—41no—
1401C2×Q8C24×C8311yescharacteristic
1402C2×Q8C24×C8311yescharacteristic
1403C2×Q8C24×C8311yescharacteristic
1404C2×Q8C24×C8311yescharacteristic
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—41no—
1427C2×D4—41no—
1428C2×D4—42no—
1429C2×D4—44no—
1430C2×D4C2×D4×C8311yescharacteristic
1431C2×D4C2×D4×C8311yescharacteristic
1432C2×D4C2×D4×C8311yescharacteristic
1433C2×D4C2×D4×C8311yescharacteristic
1434C2×D4C24×C8311yescharacteristic
1435C2×D4C24×C8311yescharacteristic
1436C2×D4C24×C8311yescharacteristic
1437C2×D4C24×C8311yescharacteristic
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—41no—
1452C22×C4—41no—
1453C22×C4—41no—
1454C22×C4—41no—
1455C22×C4C2×D4×C8311yescharacteristic
1456C22×C4C2×D4×C8311yescharacteristic
1457C22×C4C2×D4×C8311yescharacteristic
1458C22×C4C2×D4×C8311yescharacteristic
1459C22×C4C2×D4×C8311yescharacteristic
1460C22×C4C2×D4×C8311yescharacteristic
1461C22×C4C2×D4×C8311yescharacteristic
1462C22×C4C2×D4×C8311yescharacteristic
1463C22×C4C24×C8311yescharacteristic
1464C22×C4C24×C8311yescharacteristic
1465C22×C4C24×C8311yescharacteristic
1466C22×C4C24×C8311yescharacteristic
1467C22×C4C24×C8311yescharacteristic
1468Q16—22no—
1469Q16—41no—
1470Q16—41no—
1471Q16—41no—
1472SD16—22no—
1473SD16—22no—
1474SD16—41no—
1475SD16—41no—
1476SD16—41no—
1477SD16—41no—
1478SD16—41no—
1479SD16—41no—
1480D8—22no—
1481D8—41no—
1482D8—41no—
1483D8—41no—
1484M16—22no—
1485M16—22no—
1486M16—41no—
1487M16—41no—
1488C2×C8—22no—
1489C2×C8—22no—
1490C2×C8—22no—
1491C2×C8—41no—
1492C2×C8—41no—
1493C2×C8—41no—
1494C2×C8—41no—
1495C2×C8—41no—
1496C2×C8C24×C8311yescharacteristic
1497C2×C8C24×C8311yescharacteristic
1498C2×C8C24×C8311yescharacteristic
1499C2×C8C24×C8311yescharacteristic
1500C2×C8C24×C8311yescharacteristic
1501C2×C8C24×C8311yescharacteristic
1502C2×C8C24×C8311yescharacteristic
1503C2×C8C24×C8311yescharacteristic
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—21no—
1523C4⋊C4—21no—
1524C4⋊C4—21no—
1525C4⋊C4—21no—
1526C4⋊C4—21no—
1527C4⋊C4—21no—
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4C2×D4×C8311yescharacteristic
1531C4⋊C4C2×D4×C8311yescharacteristic
1532C4⋊C4C2×D4×C8311yescharacteristic
1533C4⋊C4C2×D4×C8311yescharacteristic
1534C4⋊C4C24×C8311yescharacteristic
1535C4⋊C4C24×C8311yescharacteristic
1536C4⋊C4C24×C8311yescharacteristic
1537C4⋊C4C24×C8311yescharacteristic
1538C4⋊C4C24×C8311yescharacteristic
1539C4⋊C4C24×C8311yescharacteristic
1540C4⋊C4C24×C8311yescharacteristic
1541C4⋊C4C24×C8311yescharacteristic
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4—21no—
1580C22⋊C4C2×D4×C8311yescharacteristic
1581C22⋊C4C2×D4×C8311yescharacteristic
1582C22⋊C4C2×D4×C8311yescharacteristic
1583C22⋊C4C2×D4×C8311yescharacteristic
1584C22⋊C4C2×D4×C8311yescharacteristic
1585C22⋊C4C2×D4×C8311yescharacteristic
1586C22⋊C4C2×D4×C8311yescharacteristic
1587C22⋊C4C2×D4×C8311yescharacteristic
1588C42—21no—
1589C42—21no—
1590C42—21no—
1591C42—21no—
1592C42—21no—
1593C42—21no—
1594C42—21no—
1595C42—21no—
1596C42—21no—
1597C42—21no—
1598C42C2×D4×C8311yescharacteristic
1599C42C2×D4×C8311yescharacteristic
1600C42C24×C8311yescharacteristic
1601C42C24×C8311yescharacteristic
1602C23—22no—
1603C23—22no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—41no—
1609C23—41no—
1610C23—41no—
1611C23—41no—
1612C23—42no—
1613C23—81no—
1614C23—81no—
1615C23C22×D4×C8311yescharacteristic
1616C23C22×D4×C8311yescharacteristic
1617C23C22×D4×C8311yescharacteristic
1618C23C22×D4×C8311yescharacteristic
1619C23C22×D4×C8311yescharacteristic
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—21no—
1624Q8—21no—
1625Q8—21no—
1626Q8—21no—
1627Q8—21no—
1628Q8—42no—
1629Q8—81no—
1630Q8—81no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—21no—
1639D4—41no—
1640D4—41no—
1641D4—41no—
1642D4—41no—
1643D4—42no—
1644D4—42no—
1645D4—42no—
1646D4—42no—
1647D4—42no—
1648D4—42no—
1649D4—42no—
1650D4—81no—
1651D4—81no—
1652D4—81no—
1653D4—81no—
1654D4—81no—
1655D4—81no—
1656D4—81no—
1657D4—81no—
1658D4—81no—
1659D4—81no—
1660D4—81no—
1661D4—81no—
1662D4—81no—
1663D4—81no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—41no—
1688C2×C4—41no—
1689C2×C4—41no—
1690C2×C4—41no—
1691C2×C4—41no—
1692C2×C4—41no—
1693C2×C4—41no—
1694C2×C4—42no—
1695C2×C4—42no—
1696C2×C4—42no—
1697C2×C4—81no—
1698C2×C4—81no—
1699C2×C4—81no—
1700C2×C4—81no—
1701C2×C4—81no—
1702C2×C4—81no—
1703C2×C4—81no—
1704C2×C4—81no—
1705C2×C4—81no—
1706C2×C4—81no—
1707C2×C4C22×D4×C8311yescharacteristic
1708C2×C4C22×D4×C8311yescharacteristic
1709C2×C4C22×D4×C8311yescharacteristic
1710C2×C4C22×D4×C8311yescharacteristic
1711C2×C4C22×D4×C8311yescharacteristic
1712C2×C4C22×D4×C8311yescharacteristic
1713C2×C4C22×D4×C8311yescharacteristic
1714C2×C4C22×D4×C8311yescharacteristic
1715C2×C4C22×D4×C8311yescharacteristic
1716C2×C4C25×C8311yescharacteristic
1717C8—21no—
1718C8—21no—
1719C8—21no—
1720C8—21no—
1721C8—21no—
1722C8—21no—
1723C8—21no—
1724C8H(5,𝔽2)×C8312yes—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—21no—
1731C22—21no—
1732C22—21no—
1733C22—21no—
1734C22—21no—
1735C22—21no—
1736C22—21no—
1737C22—21no—
1738C22—21no—
1739C22—44no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—82no—
1753C22—162no—
1754C22#575×C8312yes—
1755C22C23×D4×C8311yescharacteristic
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—21no—
1760C4—21no—
1761C4—21no—
1762C4—21no—
1763C4—21no—
1764C4—21no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4C2×H(5,𝔽2)×C8311yescharacteristic
1778C4#585×C8311yescharacteristic
1779C2—22no—
1780C2—41no—
1781C2—41no—
1782C2—41no—
1783C2—41no—
1784C2—81no—
1785C2—81no—
1786C2—81no—
1787C2—81no—
1788C2C83×#349611yescharacteristic
1789C2C2×#575×C8311yescharacteristic
1790C2C83×#358411yescharacteristic
subgroupG/H
center, socleC22×C83C23×D4
commutator, Frattini, cosocleC2×C4C25×C83
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C83 ◁ C2×C4×D4×C83 ◁ G

Complements

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

NH ≅ G/Ntype
1. C83×#3506C2semidirect
2. C83×#3505C2semidirect
3. C83×#3350C2semidirect
4. C83×#3349C2semidirect
5. C83×#3348C2semidirect
6. C83×#3347C2semidirect
7. C83×#3321C2semidirect
8. C83×#3319C2semidirect
9. C83×#3317C2semidirect
10. C83×#3315C2semidirect
11. C83×#3313C2semidirect
12. C83×#3311C2semidirect
13. C83×#3309C2semidirect
14. C83×#3307C2semidirect
15. C83×#3271C2semidirect
16. C83×#3269C2semidirect
17. C83×#3268C2semidirect
18. C83×#3267C2semidirect
19. C83×#3248C2semidirect
20. C83×#3247C2semidirect
21. C83×#3191C2semidirect
22. C83×#3191C2semidirect
23. C83×#3190C2semidirect
24. C83×#3188C2semidirect
25. C83×#3181C2semidirect
26. C83×#3180C2semidirect
27. C83×#3056C2semidirect
28. C83×#3055C2semidirect
29. C83×#3050C2semidirect
30. C83×#3050C2semidirect
31. C2×#435×C83C2semidirect
32. C2×#137×C83C22semidirect
33. C2×AGL(1,ℤ/8)×C83C22semidirect
34. C2×#135×C83C22semidirect
35. C2×#135×C83C22semidirect
37. C23×C8×C83C22semidirect
41. #556×C83C22semidirect
43. #555×C83C22semidirect
55. #550×C83C22semidirect
59. #547×C83C22semidirect
68. #533×C83C22semidirect
69. #532×C83C22semidirect
76. #525×C83C22semidirect
77. #525×C83C22semidirect
83. #501×C83C22semidirect
84. #501×C83C22semidirect
85. #497×C83C22semidirect
86. #496×C83C22semidirect
87. #491×C83C22semidirect
88. #490×C83C22semidirect
89. #489×C83C22semidirect
90. #489×C83C22semidirect
91. #485×C83C22semidirect
92. #485×C83C22semidirect
93. #485×C83C22semidirect
94. #485×C83C22semidirect
95. #485×C83C22semidirect
96. #485×C83C22semidirect
97. #484×C83C22semidirect
98. #483×C83C22semidirect
99. #482×C83C22semidirect
100. #482×C83C22semidirect
101. #482×C83C22semidirect
102. #482×C83C22semidirect
103. #482×C83C22semidirect
104. #482×C83C22semidirect
105. #481×C83C22semidirect
106. #480×C83C22semidirect
107. #479×C83C22semidirect
108. #479×C83C22semidirect
109. #478×C83C22semidirect
110. #478×C83C22semidirect
111. #477×C83C22semidirect
112. #476×C83C22semidirect
113. #475×C83C22semidirect
114. #474×C83C22semidirect
115. #470×C83C22semidirect
116. #470×C83C22semidirect
117. #469×C83C22semidirect
118. #469×C83C22semidirect
119. #468×C83C22semidirect
120. #468×C83C22semidirect
121. #468×C83C22semidirect
122. #468×C83C22semidirect
123. #467×C83C22semidirect
124. #467×C83C22semidirect
125. #467×C83C22semidirect
126. #467×C83C22semidirect
127. #467×C83C22semidirect
128. #467×C83C22semidirect
133. #466×C83C22semidirect
134. #466×C83C22semidirect
139. #465×C83C22semidirect
140. #465×C83C22semidirect
141. #465×C83C22semidirect
142. #465×C83C22semidirect
143. #465×C83C22semidirect
144. #465×C83C22semidirect
145. #465×C83C22semidirect
146. #465×C83C22semidirect
147. #464×C83C22semidirect
148. #464×C83C22semidirect
149. #463×C83C22semidirect
150. #463×C83C22semidirect
151. #462×C83C22semidirect
152. #461×C83C22semidirect
153. #460×C83C22semidirect
154. #459×C83C22semidirect
155. #452×C83C22semidirect
156. #452×C83C22semidirect
157. #452×C83C22semidirect
158. #452×C83C22semidirect
159. #452×C83C22semidirect
160. #452×C83C22semidirect
161. #451×C83C22semidirect
162. #450×C83C22semidirect
163. #449×C83C22semidirect
164. #449×C83C22semidirect
165. #449×C83C22semidirect
166. #449×C83C22semidirect
167. #449×C83C22semidirect
168. #449×C83C22semidirect
169. #448×C83C22semidirect
170. #447×C83C22semidirect
171. #442×C83C22semidirect
172. #442×C83C22semidirect
173. #441×C83C22semidirect
174. #441×C83C22semidirect
175. #440×C83C22semidirect
176. #440×C83C22semidirect
177. #440×C83C22semidirect
178. #440×C83C22semidirect
183. #435×C83C22semidirect
184. #435×C83C22semidirect
185. #435×C83C22semidirect
186. #435×C83C22semidirect
187. #428×C83C22semidirect
188. #428×C83C22semidirect
189. #427×C83C22semidirect
190. #427×C83C22semidirect
191. C2×C4⋊C8×C83C22semidirect
192. #419×C83C22semidirect
193. #418×C83C22semidirect
194. #417×C83C22semidirect
195. #417×C83C22semidirect
196. #416×C83C22semidirect
197. #416×C83C22semidirect
198. #416×C83C22semidirect
199. #416×C83C22semidirect
201. C2×C22⋊C8×C83C22semidirect
202. C2×#97×C83C22semidirect
883. #62255C83direct (N × H)
896. #3506C2×C83semidirect
897. #3505C2×C83semidirect
898. #3350C2×C83semidirect
899. #3349C2×C83semidirect
900. #3348C2×C83semidirect
901. #3347C2×C83semidirect
902. #3321C2×C83semidirect
903. #3319C2×C83semidirect
904. #3317C2×C83semidirect
905. #3315C2×C83semidirect
906. #3313C2×C83semidirect
907. #3311C2×C83semidirect
908. #3309C2×C83semidirect
909. #3307C2×C83semidirect
910. #3271C2×C83semidirect
911. #3269C2×C83semidirect
912. #3268C2×C83semidirect
913. #3267C2×C83semidirect
914. #3248C2×C83semidirect
915. #3247C2×C83semidirect
916. #3191C2×C83semidirect
917. #3191C2×C83semidirect
918. #3190C2×C83semidirect
919. #3188C2×C83semidirect
920. #3181C2×C83semidirect
921. #3180C2×C83semidirect
922. #3056C2×C83semidirect
923. #3055C2×C83semidirect
924. #3050C2×C83semidirect
925. #3050C2×C83semidirect
926. C2×#435C2×C83semidirect
927. C83#62255direct (N × H)
928. C2×#137C22×C83semidirect
929. C2×AGL(1,ℤ/8)C22×C83semidirect
930. C2×#135C22×C83semidirect
931. C2×#135C22×C83semidirect
933. C23×C8C22×C83semidirect
937. #556C22×C83semidirect
939. #555C22×C83semidirect
951. #550C22×C83semidirect
955. #547C22×C83semidirect
964. #533C22×C83semidirect
965. #532C22×C83semidirect
972. #525C22×C83semidirect
973. #525C22×C83semidirect
979. #501C22×C83semidirect
980. #501C22×C83semidirect
981. #497C22×C83semidirect
982. #496C22×C83semidirect
983. #491C22×C83semidirect
984. #490C22×C83semidirect
985. #489C22×C83semidirect
986. #489C22×C83semidirect
987. #485C22×C83semidirect
988. #485C22×C83semidirect
989. #485C22×C83semidirect
990. #485C22×C83semidirect
991. #485C22×C83semidirect
992. #485C22×C83semidirect
993. #484C22×C83semidirect
994. #483C22×C83semidirect
995. #482C22×C83semidirect
996. #482C22×C83semidirect
997. #482C22×C83semidirect
998. #482C22×C83semidirect
999. #482C22×C83semidirect
1000. #482C22×C83semidirect
1001. #481C22×C83semidirect
1002. #480C22×C83semidirect
1003. #479C22×C83semidirect
1004. #479C22×C83semidirect
1005. #478C22×C83semidirect
1006. #478C22×C83semidirect
1007. #477C22×C83semidirect
1008. #476C22×C83semidirect
1009. #475C22×C83semidirect
1010. #474C22×C83semidirect
1011. #470C22×C83semidirect
1012. #470C22×C83semidirect
1013. #469C22×C83semidirect
1014. #469C22×C83semidirect
1015. #468C22×C83semidirect
1016. #468C22×C83semidirect
1017. #468C22×C83semidirect
1018. #468C22×C83semidirect
1019. #467C22×C83semidirect
1020. #467C22×C83semidirect
1021. #467C22×C83semidirect
1022. #467C22×C83semidirect
1023. #467C22×C83semidirect
1024. #467C22×C83semidirect
1029. #466C22×C83semidirect
1030. #466C22×C83semidirect
1035. #465C22×C83semidirect
1036. #465C22×C83semidirect
1037. #465C22×C83semidirect
1038. #465C22×C83semidirect
1039. #465C22×C83semidirect
1040. #465C22×C83semidirect
1041. #465C22×C83semidirect
1042. #465C22×C83semidirect
1043. #464C22×C83semidirect
1044. #464C22×C83semidirect
1045. #463C22×C83semidirect
1046. #463C22×C83semidirect
1047. #462C22×C83semidirect
1048. #461C22×C83semidirect
1049. #460C22×C83semidirect
1050. #459C22×C83semidirect
1051. #452C22×C83semidirect
1052. #452C22×C83semidirect
1053. #452C22×C83semidirect
1054. #452C22×C83semidirect
1055. #452C22×C83semidirect
1056. #452C22×C83semidirect
1057. #451C22×C83semidirect
1058. #450C22×C83semidirect
1059. #449C22×C83semidirect
1060. #449C22×C83semidirect
1061. #449C22×C83semidirect
1062. #449C22×C83semidirect
1063. #449C22×C83semidirect
1064. #449C22×C83semidirect
1065. #448C22×C83semidirect
1066. #447C22×C83semidirect
1067. #442C22×C83semidirect
1068. #442C22×C83semidirect
1069. #441C22×C83semidirect
1070. #441C22×C83semidirect
1071. #440C22×C83semidirect
1072. #440C22×C83semidirect
1073. #440C22×C83semidirect
1074. #440C22×C83semidirect
1079. #435C22×C83semidirect
1080. #435C22×C83semidirect
1081. #435C22×C83semidirect
1082. #435C22×C83semidirect
1083. #428C22×C83semidirect
1084. #428C22×C83semidirect
1085. #427C22×C83semidirect
1086. #427C22×C83semidirect
1087. C2×C4⋊C8C22×C83semidirect
1088. #419C22×C83semidirect
1089. #418C22×C83semidirect
1090. #417C22×C83semidirect
1091. #417C22×C83semidirect
1092. #416C22×C83semidirect
1093. #416C22×C83semidirect
1094. #416C22×C83semidirect
1095. #416C22×C83semidirect
1097. C2×C22⋊C8C22×C83semidirect
1098. C2×#97C22×C83semidirect

Maximal subgroups

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

subgroupindex
C83×#35062
C83×#35052
C83×#33502
C83×#33492
C83×#33482
C83×#33472
C83×#33212
C83×#33192
C83×#33172
C83×#33152
C83×#33132
C83×#33112
C83×#33092
C83×#33072
C83×#32712
C83×#32692
C83×#32682
C83×#32672
C83×#32482
C83×#32472
C83×#31912
C83×#31902
C83×#31882
C83×#31812
C83×#31802
C83×#30562
C83×#30552
C83×#30502
C2×#435×C832
#6225583