Finite Group Databasebeta

← C83×#61681 #35289505

Subgroups — C83×#61681 #35289505

Order 21248.

2036 conjugacy classes of subgroups.

The subgroup lattice has 1864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#3551C211yesmaximal, characteristic, complemented
2C83×#3497C211yesmaximal, characteristic, complemented
3C83×#3327C211yesmaximal, characteristic, complemented
4C83×#3326C211yesmaximal, characteristic, complemented
5C83×#3320C211yesmaximal, characteristic, complemented
6C83×#3317C211yesmaximal, characteristic, complemented
7C83×#3312C211yesmaximal, characteristic, complemented
8C83×#3309C211yesmaximal, characteristic, complemented
9C83×#3301C211yesmaximal, characteristic, complemented
10C83×#3300C211yesmaximal, characteristic, complemented
11C83×#3285C211yesmaximal, characteristic, complemented
12C83×#3282C211yesmaximal, characteristic, complemented
13C83×#3277C211yesmaximal, characteristic, complemented
14C83×#3275C211yesmaximal, characteristic, complemented
15C83×#3271C211yesmaximal, characteristic, complemented
16C83×#3270C211yesmaximal, characteristic, complemented
17C83×#3268C211yesmaximal, characteristic, complemented
18C83×#3266C211yesmaximal, characteristic, complemented
19C83×#3219C211yesmaximal, characteristic, complemented
20C83×#3212C211yesmaximal, characteristic, complemented
21C83×#3204C211yesmaximal, characteristic, complemented
22C83×#3203C211yesmaximal, characteristic, complemented
23C83×#3201C211yesmaximal, characteristic, complemented
24C83×#3198C211yesmaximal, characteristic, complemented
25C83×#3117C211yesmaximal, characteristic, complemented
26C83×#3108C211yesmaximal, characteristic, complemented
27C83×#3013C211yesmaximal, characteristic, complemented
28C83×#3013C211yesmaximal, characteristic, complemented
29C83×#3011C211yesmaximal, characteristic, complemented
30C83×#3010C211yesmaximal, characteristic, complemented
31C83×#2981C211yesmaximal, characteristic, complemented
32C2×2−1+4×C83C2211yescharacteristic
33C2×2−1+4×C83C2211yescharacteristic, complemented
34C2×#137×C83C2211yescharacteristic
35C2×#137×C83C2211yescharacteristic
36C2×#137×C83C2211yescharacteristic, complemented
37C2×AGL(1,ℤ/8)×C83C2211yescharacteristic
38C2×#135×C83C2211yescharacteristic
39C2×#135×C83C2211yescharacteristic
40C22×Q16×C83C2211yescharacteristic, complemented
41C22×SD16×C83C2211yescharacteristic
42#563×C83—21no—
43#560×C83—21no—
44#555×C83—21no—
45#553×C83C2211yescharacteristic
46#553×C83C2211yescharacteristic
47#552×C83C2211yescharacteristic
48#552×C83C2211yescharacteristic
49#551×C83—21no—
50#550×C83—21no—
51#550×C83C2211yescharacteristic
52#550×C83C2211yescharacteristic, complemented
53D4×Q8×C83—21no—
54D4×Q8×C83C2211yescharacteristic
55D4×Q8×C83C2211yescharacteristic, complemented
56#548×C83—21no—
57#548×C83—21no—
58#548×C83C2211yescharacteristic
59#548×C83C2211yescharacteristic
60#548×C83C2211yescharacteristic
61#548×C83C2211yescharacteristic
62#548×C83C2211yescharacteristic, complemented
63#548×C83C2211yescharacteristic, complemented
64#546×C83C2211yescharacteristic
65#546×C83C2211yescharacteristic
66#540×C83—21no—
67#540×C83—21no—
68#538×C83—21no—
69#538×C83—21no—
70#537×C83—21no—
71#537×C83—21no—
72#537×C83C2211yescharacteristic
73#537×C83C2211yescharacteristic
74#537×C83C2211yescharacteristic
75#537×C83C2211yescharacteristic, complemented
76#536×C83C2211yescharacteristic
77#535×C83C2211yescharacteristic
78#532×C83—21no—
79#532×C83—21no—
80#532×C83C2211yescharacteristic
81#532×C83C2211yescharacteristic, complemented
82#529×C83C2211yescharacteristic
83#529×C83C2211yescharacteristic
84C2×C4×Q8×C83C2211yescharacteristic, complemented
85#497×C83C2211yescharacteristic
86#496×C83C2211yescharacteristic
87#495×C83C2211yescharacteristic
88#495×C83C2211yescharacteristic
89#491×C83C2211yescharacteristic, complemented
90#490×C83C2211yescharacteristic, complemented
91#488×C83C2211yescharacteristic, complemented
92#488×C83C2211yescharacteristic, complemented
93#485×C83C2211yescharacteristic
94#485×C83C2211yescharacteristic, complemented
95#484×C83C2211yescharacteristic, complemented
96#484×C83C2211yescharacteristic, complemented
97#483×C83C2211yescharacteristic, complemented
98#483×C83C2211yescharacteristic, complemented
99#482×C83C2211yescharacteristic
100#482×C83C2211yescharacteristic, complemented
101#481×C83C2211yescharacteristic
102#481×C83C2211yescharacteristic, complemented
103#480×C83C2211yescharacteristic
104#480×C83C2211yescharacteristic, complemented
105#479×C83C2211yescharacteristic, complemented
106#479×C83C2211yescharacteristic, complemented
107#479×C83C2211yescharacteristic, complemented
108#479×C83C2211yescharacteristic, complemented
109#470×C83C2211yescharacteristic
110#470×C83C2211yescharacteristic, complemented
111#469×C83C2211yescharacteristic
112#469×C83C2211yescharacteristic
113#468×C83C2211yescharacteristic
114#468×C83C2211yescharacteristic
115#468×C83C2211yescharacteristic
116#468×C83C2211yescharacteristic, complemented
117#467×C83C2211yescharacteristic
118#467×C83C2211yescharacteristic, complemented
119#466×C83C2211yescharacteristic
120#466×C83C2211yescharacteristic
121#465×C83C2211yescharacteristic
122#465×C83C2211yescharacteristic
123#465×C83C2211yescharacteristic
124#465×C83C2211yescharacteristic, complemented
125#464×C83C2211yescharacteristic
126#464×C83C2211yescharacteristic
127#464×C83C2211yescharacteristic
128#464×C83C2211yescharacteristic
129#464×C83C2211yescharacteristic, complemented
130#464×C83C2211yescharacteristic, complemented
131#463×C83C2211yescharacteristic
132#463×C83C2211yescharacteristic
133#462×C83C2211yescharacteristic, complemented
134#461×C83C2211yescharacteristic
135#460×C83C2211yescharacteristic, complemented
136#459×C83C2211yescharacteristic
137#452×C83C2211yescharacteristic
138#452×C83C2211yescharacteristic
139#452×C83C2211yescharacteristic
140#452×C83C2211yescharacteristic
141#452×C83C2211yescharacteristic, complemented
142#452×C83C2211yescharacteristic, complemented
143#452×C83C2211yescharacteristic, complemented
144#452×C83C2211yescharacteristic, complemented
145#452×C83C2211yescharacteristic, complemented
146#452×C83C2211yescharacteristic, complemented
147#451×C83C2211yescharacteristic
148#451×C83C2211yescharacteristic
149#451×C83C2211yescharacteristic, complemented
150#451×C83C2211yescharacteristic, complemented
151#451×C83C2211yescharacteristic, complemented
152#451×C83C2211yescharacteristic, complemented
153#451×C83C2211yescharacteristic, complemented
154#450×C83C2211yescharacteristic
155#449×C83C2211yescharacteristic
156#449×C83C2211yescharacteristic
157#449×C83C2211yescharacteristic
158#449×C83C2211yescharacteristic
159#449×C83C2211yescharacteristic
160#449×C83C2211yescharacteristic
161#449×C83C2211yescharacteristic
162#449×C83C2211yescharacteristic
163#449×C83C2211yescharacteristic
164#449×C83C2211yescharacteristic
165#448×C83C2211yescharacteristic
166#448×C83C2211yescharacteristic
167#448×C83C2211yescharacteristic
168#448×C83C2211yescharacteristic
169#448×C83C2211yescharacteristic
170#448×C83C2211yescharacteristic
171#448×C83C2211yescharacteristic, complemented
172#447×C83C2211yescharacteristic
173#441×C83C2211yescharacteristic, complemented
174#441×C83C2211yescharacteristic, complemented
175#440×C83C2211yescharacteristic
176#440×C83C2211yescharacteristic
177C4×Q16×C83C2211yescharacteristic, complemented
178C4×Q16×C83C2211yescharacteristic, complemented
179C4×SD16×C83C2211yescharacteristic
180C4×SD16×C83C2211yescharacteristic
181#436×C83C2211yescharacteristic
182#436×C83C2211yescharacteristic, complemented
183#435×C83C2211yescharacteristic
184#435×C83C2211yescharacteristic
185#435×C83C2211yescharacteristic, complemented
186#435×C83C2211yescharacteristic, complemented
187C8×D4×C83C2211yescharacteristic
188C8×D4×C83C2211yescharacteristic, complemented
189#432×C83C2211yescharacteristic, complemented
190#431×C83C2211yescharacteristic, complemented
191#419×C83C2211yescharacteristic
192#419×C83C2211yescharacteristic, complemented
193#417×C83C2211yescharacteristic, complemented
194#417×C83C2211yescharacteristic, complemented
195#416×C83C2211yescharacteristic
196#416×C83C2211yescharacteristic, complemented
197C2×#103×C83C2211yescharacteristic, complemented
198C2×#103×C83C2211yescharacteristic, complemented
199#408×C83C2211yescharacteristic
200#408×C83C2211yescharacteristic
201#408×C83C2211yescharacteristic, complemented
202#408×C83C2211yescharacteristic, complemented
2032−1+4×C83—42no—
2042−1+4×C83—42no—
2052−1+4×C83—42no—
2062−1+4×C83—42no—
207C2×#41×C83—21no—
208C2×#41×C83—21no—
209C2×#41×C83—21no—
210C2×#41×C83—21no—
211C2×#41×C83—21no—
212C2×#41×C83—21no—
213C2×#41×C83C2311yescharacteristic
214C2×#41×C83C2311yescharacteristic
215C2×#41×C83C2311yescharacteristic
216C2×#41×C83C2311yescharacteristic
217C2×#41×C83C2311yescharacteristic
218C2×#41×C83C2311yescharacteristic
219C2×#41×C83C2311yescharacteristic
220C2×#41×C83C2311yescharacteristic
221C2×#41×C83C2311yescharacteristic
222C2×#41×C83C2311yescharacteristic
223C22×Q8×C83—21no—
224C22×Q8×C83—21no—
225C22×Q8×C83C2311yescharacteristic
226C22×Q8×C83C2311yescharacteristic
227C22×Q8×C83C2311yescharacteristic
228C22×Q8×C83C2311yescharacteristic
229C22×Q8×C83C2311yescharacteristic
230C22×Q8×C83C2311yescharacteristic
231C22×D4×C83C2311yescharacteristic
232#137×C83—42no—
233#137×C83—42no—
234#137×C83—42no—
235AGL(1,ℤ/8)×C83—42no—
236#135×C83—42no—
237#135×C83—42no—
238C2×Q16×C83—42no—
239C2×Q16×C83C2311yescharacteristic
240C2×Q16×C83C2311yescharacteristic
241C2×Q16×C83C2311yescharacteristic
242C2×Q16×C83C2311yescharacteristic
243C2×Q16×C83C2311yescharacteristic
244C2×Q16×C83C2311yescharacteristic
245C2×Q16×C83C2311yescharacteristic
246C2×Q16×C83C2311yescharacteristic
247C2×SD16×C83—42no—
248C2×SD16×C83C2311yescharacteristic
249C2×SD16×C83C2311yescharacteristic
250C2×SD16×C83C2311yescharacteristic
251C2×SD16×C83C2311yescharacteristic
252C2×SD16×C83C2311yescharacteristic
253C2×SD16×C83C2311yescharacteristic
254C2×SD16×C83C2311yescharacteristic
255C2×SD16×C83C2311yescharacteristic
256C2×SD16×C83C2311yescharacteristic
257C2×SD16×C83C2311yescharacteristic
258C2×SD16×C83C2311yescharacteristic
259C2×SD16×C83C2311yescharacteristic
260C2×D8×C83C2311yescharacteristic
261C2×D8×C83C2311yescharacteristic
262C2×D8×C83C2311yescharacteristic
263C2×D8×C83C2311yescharacteristic
264C2×M16×C83C2311yescharacteristic
265C2×M16×C83C2311yescharacteristic
266C2×M16×C83C2311yescharacteristic
267C2×M16×C83C2311yescharacteristic
268C22×C8×C83C2311yescharacteristic
269C22×C8×C83C2311yescharacteristic
270C22×C8×C83C2311yescharacteristic
271C22×C8×C83C2311yescharacteristic
272C4⋊Q8×C83—21no—
273C4⋊Q8×C83—21no—
274C4⋊Q8×C83—21no—
275C4⋊Q8×C83D411yescharacteristic
276C4⋊Q8×C83C2311yescharacteristic
277#127×C83—21no—
278#127×C83—21no—
279#127×C83—21no—
280#127×C83D411yescharacteristic
281#127×C83C2311yescharacteristic
282#126×C83—21no—
283#126×C83—21no—
284#126×C83—21no—
285#126×C83—21no—
286#126×C83—21no—
287#126×C83—21no—
288#125×C83—21no—
289#125×C83—21no—
290#125×C83C2311yescharacteristic
291#125×C83C2311yescharacteristic
292#124×C83—21no—
293#124×C83—21no—
294#124×C83—21no—
295#124×C83—21no—
296#124×C83—21no—
297#124×C83—21no—
298#124×C83—21no—
299#124×C83—21no—
300#124×C83D411yescharacteristic
301#124×C83D411yescharacteristic
302#124×C83C2311yescharacteristic
303#124×C83C2311yescharacteristic
304#124×C83C2311yescharacteristic
305#124×C83C2311yescharacteristic
306#123×C83—21no—
307#123×C83—21no—
308#123×C83—21no—
309#123×C83—21no—
310#123×C83—21no—
311#123×C83—21no—
312#123×C83—21no—
313#123×C83—21no—
314#123×C83—21no—
315#123×C83—21no—
316C22⋊Q8×C83—21no—
317C22⋊Q8×C83—21no—
318C22⋊Q8×C83—21no—
319C22⋊Q8×C83—21no—
320C22⋊Q8×C83—21no—
321C22⋊Q8×C83—21no—
322C22⋊Q8×C83—21no—
323C22⋊Q8×C83—21no—
324C22⋊Q8×C83—21no—
325C22⋊Q8×C83—21no—
326C22⋊Q8×C83—21no—
327C22⋊Q8×C83—21no—
328C22⋊Q8×C83—21no—
329C22⋊Q8×C83—21no—
330C22⋊Q8×C83C2311yescharacteristic
331C22⋊Q8×C83C2311yescharacteristic
332C22⋊Q8×C83C2311yescharacteristic
333C22⋊Q8×C83C2311yescharacteristic
334C22⋊Q8×C83C2311yescharacteristic
335C22⋊Q8×C83C2311yescharacteristic
336C22⋊Q8×C83C2311yescharacteristic
337C22⋊Q8×C83C2311yescharacteristic
338C22⋊Q8×C83C2311yescharacteristic
339C22⋊Q8×C83C2311yescharacteristic
340#121×C83—21no—
341#121×C83—21no—
342#121×C83—21no—
343#121×C83—21no—
344#121×C83—21no—
345#121×C83—21no—
346#121×C83—21no—
347#121×C83—21no—
348#121×C83—21no—
349#121×C83—21no—
350#121×C83—21no—
351#121×C83—21no—
352#121×C83—21no—
353#121×C83—21no—
354#121×C83—21no—
355#121×C83—21no—
356#121×C83—21no—
357#121×C83—21no—
358#121×C83—21no—
359#121×C83—21no—
360#121×C83—21no—
361#121×C83—21no—
362#121×C83—21no—
363#121×C83—21no—
364#121×C83—21no—
365#121×C83—21no—
366#121×C83—21no—
367#121×C83—21no—
368#121×C83D411yescharacteristic
369#121×C83D411yescharacteristic
370#121×C83D411yescharacteristic
371#121×C83D411yescharacteristic
372#121×C83C2311yescharacteristic
373#121×C83C2311yescharacteristic
374#121×C83C2311yescharacteristic
375#121×C83C2311yescharacteristic
376#121×C83C2311yescharacteristic
377#121×C83C2311yescharacteristic
378#121×C83C2311yescharacteristic
379#121×C83C2311yescharacteristic
380#121×C83C2311yescharacteristic
381#121×C83C2311yescharacteristic
382#120×C83—21no—
383#120×C83—21no—
384#120×C83—21no—
385#120×C83—21no—
386C4×Q8×C83—21no—
387C4×Q8×C83—21no—
388C4×Q8×C83C2311yescharacteristic
389C4×Q8×C83C2311yescharacteristic
390C4×Q8×C83C2311yescharacteristic
391C4×Q8×C83C2311yescharacteristic
392C4×Q8×C83C2311yescharacteristic
393C4×Q8×C83C2311yescharacteristic
394C4×D4×C83—21no—
395C4×D4×C83—21no—
396C4×D4×C83—21no—
397C4×D4×C83—21no—
398C4×D4×C83—21no—
399C4×D4×C83—21no—
400C4×D4×C83—21no—
401C4×D4×C83—21no—
402C4×D4×C83—21no—
403C4×D4×C83—21no—
404C4×D4×C83—21no—
405C4×D4×C83—21no—
406C4×D4×C83—21no—
407C4×D4×C83—21no—
408C4×D4×C83—21no—
409C4×D4×C83—21no—
410C4×D4×C83C2311yescharacteristic
411C4×D4×C83C2311yescharacteristic
412C4×D4×C83C2311yescharacteristic
413C4×D4×C83C2311yescharacteristic
414C4×D4×C83C2311yescharacteristic
415C4×D4×C83C2311yescharacteristic
416#117×C83—21no—
417#117×C83—21no—
418#117×C83—21no—
419#117×C83—21no—
420#117×C83C2311yescharacteristic
421#117×C83C2311yescharacteristic
422C2×C4⋊C4×C83—21no—
423C2×C4⋊C4×C83C2311yescharacteristic
424C2×C4⋊C4×C83C2311yescharacteristic
425C2×C4⋊C4×C83C2311yescharacteristic
426C2×C22⋊C4×C83—21no—
427C2×C22⋊C4×C83—21no—
428C2×C42×C83—21no—
429C2×C42×C83C2311yescharacteristic
430#107×C83C2311yescharacteristic
431#107×C83C2311yescharacteristic
432#107×C83C2311yescharacteristic
433#107×C83C2311yescharacteristic
434#106×C83C2311yescharacteristic
435#106×C83C2311yescharacteristic
436#106×C83C2311yescharacteristic
437#106×C83C2311yescharacteristic
438C4⋊C8×C83C2311yescharacteristic
439C4⋊C8×C83C2311yescharacteristic
440C4⋊C8×C83C2311yescharacteristic
441C4⋊C8×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#103×C83C2311yescharacteristic
457#103×C83C2311yescharacteristic
458#103×C83C2311yescharacteristic
459#103×C83C2311yescharacteristic
460#103×C83C2311yescharacteristic
461#103×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
472#102×C83C2311yescharacteristic
473#102×C83C2311yescharacteristic
474C22⋊C8×C83C2311yescharacteristic
475C22⋊C8×C83C2311yescharacteristic
476C22⋊C8×C83C2311yescharacteristic
477C22⋊C8×C83C2311yescharacteristic
478C22⋊C8×C83C2311yescharacteristic
479C22⋊C8×C83C2311yescharacteristic
480C22⋊C8×C83C2311yescharacteristic
481C22⋊C8×C83C2311yescharacteristic
482C22⋊C8×C83C2311yescharacteristic
483C22⋊C8×C83C2311yescharacteristic
484C22⋊C8×C83C2311yescharacteristic
485C22⋊C8×C83C2311yescharacteristic
486#97×C83C2311yescharacteristic
487#97×C83C2311yescharacteristic
488C4×C8×C83C2311yescharacteristic
489C4×C8×C83C2311yescharacteristic
490C24×C83—21no—
491#41×C83—22no—
492#41×C83—22no—
493#41×C83—22no—
494#41×C83—22no—
495#41×C83—41no—
496#41×C83—41no—
497#41×C83—41no—
498#41×C83—41no—
499#41×C83—41no—
500#41×C83—41no—
501#41×C83—41no—
502#41×C83—41no—
503#41×C83—41no—
504#41×C83—41no—
505#41×C83—41no—
506#41×C83—41no—
507#41×C83—44no—
508#41×C83—44no—
509#41×C83—44no—
510#41×C83—44no—
511#41×C83—41no—
512#41×C83—41no—
513#41×C83—41no—
514#41×C83—41no—
515#41×C83—44no—
516#41×C83—44no—
517C2×Q8×C83—22no—
518C2×Q8×C83—22no—
519C2×Q8×C83—21no—
520C2×Q8×C83—21no—
521C2×Q8×C83—21no—
522C2×Q8×C83—21no—
523C2×Q8×C83—21no—
524C2×Q8×C83—21no—
525C2×Q8×C83—22no—
526C2×Q8×C83—22no—
527C2×Q8×C83—22no—
528C2×Q8×C83—22no—
529C2×Q8×C83—41no—
530C2×Q8×C83—41no—
531C2×Q8×C83—41no—
532C2×Q8×C83—41no—
533C2×Q8×C83—41no—
534C2×Q8×C83—41no—
535C2×Q8×C83—44no—
536C2×Q8×C83—44no—
537C2×Q8×C83C2×D411yescharacteristic
538C2×Q8×C83C2×D411yescharacteristic
539C2×Q8×C83C2411yescharacteristic
540C2×Q8×C83C2411yescharacteristic
541C2×Q8×C83C2411yescharacteristic
542C2×Q8×C83C2411yescharacteristic
543C2×Q8×C83C2411yescharacteristic
544C2×Q8×C83C2411yescharacteristic
545C2×D4×C83—21no—
546C2×D4×C83—21no—
547C2×D4×C83—21no—
548C2×D4×C83—21no—
549C2×D4×C83—21no—
550C2×D4×C83—21no—
551C2×D4×C83—21no—
552C2×D4×C83—21no—
553C2×D4×C83—21no—
554C2×D4×C83—21no—
555C2×D4×C83—21no—
556C2×D4×C83—21no—
557C2×D4×C83—21no—
558C2×D4×C83—21no—
559C2×D4×C83—21no—
560C2×D4×C83—21no—
561C2×D4×C83—21no—
562C2×D4×C83—21no—
563C2×D4×C83—21no—
564C2×D4×C83—21no—
565C2×D4×C83—21no—
566C2×D4×C83—41no—
567C2×D4×C83—41no—
568C2×D4×C83C2×D411yescharacteristic
569C2×D4×C83C2×D411yescharacteristic
570C2×D4×C83C2×D411yescharacteristic
571C2×D4×C83C2×D411yescharacteristic
572C2×D4×C83C2×D411yescharacteristic
573C2×D4×C83C2×D411yescharacteristic
574C2×D4×C83C2×D411yescharacteristic
575C2×D4×C83C2×D411yescharacteristic
576C2×D4×C83C2×D411yescharacteristic
577C2×D4×C83C2×D411yescharacteristic
578C2×D4×C83C2411yescharacteristic
579C2×D4×C83C2411yescharacteristic
580C2×D4×C83C2411yescharacteristic
581C2×D4×C83C2411yescharacteristic
582C22×C4×C83—21no—
583C22×C4×C83—21no—
584C22×C4×C83—21no—
585C22×C4×C83—21no—
586C22×C4×C83—21no—
587C22×C4×C83—21no—
588C22×C4×C83—21no—
589C22×C4×C83—21no—
590C22×C4×C83—21no—
591C22×C4×C83—21no—
592C22×C4×C83—21no—
593C22×C4×C83—21no—
594C22×C4×C83—21no—
595C22×C4×C83—21no—
596C22×C4×C83—21no—
597C22×C4×C83—21no—
598C22×C4×C83—21no—
599C22×C4×C83—21no—
600C22×C4×C83—21no—
601C22×C4×C83C2×D411yescharacteristic
602C22×C4×C83C2×D411yescharacteristic
603C22×C4×C83C2411yescharacteristic
604C22×C4×C83C2411yescharacteristic
605C22×C4×C83C2411yescharacteristic
606C22×C4×C83C2411yescharacteristic
607C22×C4×C83C2411yescharacteristic
608Q16×C83—22no—
609Q16×C83—22no—
610Q16×C83—22no—
611Q16×C83—22no—
612Q16×C83—41no—
613Q16×C83—41no—
614Q16×C83—41no—
615Q16×C83—41no—
616SD16×C83—22no—
617SD16×C83—22no—
618SD16×C83—22no—
619SD16×C83—22no—
620SD16×C83—41no—
621SD16×C83—41no—
622SD16×C83—41no—
623SD16×C83—41no—
624SD16×C83—41no—
625SD16×C83—41no—
626SD16×C83—41no—
627SD16×C83—41no—
628D8×C83—41no—
629D8×C83—41no—
630D8×C83—41no—
631D8×C83—41no—
632M16×C83—41no—
633M16×C83—41no—
634M16×C83—41no—
635M16×C83—41no—
636C2×C8×C83—41no—
637C2×C8×C83—41no—
638C2×C8×C83—41no—
639C2×C8×C83—41no—
640C2×C8×C83C2411yescharacteristic
641C2×C8×C83C2411yescharacteristic
642C2×C8×C83C2411yescharacteristic
643C2×C8×C83C2411yescharacteristic
644C2×C8×C83C2411yescharacteristic
645C2×C8×C83C2411yescharacteristic
646C2×C8×C83C2411yescharacteristic
647C2×C8×C83C2411yescharacteristic
648C4⋊C4×C83—21no—
649C4⋊C4×C83—21no—
650C4⋊C4×C83—21no—
651C4⋊C4×C83—21no—
652C4⋊C4×C83—21no—
653C4⋊C4×C83—21no—
654C4⋊C4×C83—21no—
655C4⋊C4×C83—21no—
656C4⋊C4×C83—21no—
657C4⋊C4×C83—21no—
658C4⋊C4×C83—21no—
659C4⋊C4×C83—21no—
660C4⋊C4×C83—21no—
661C4⋊C4×C83—21no—
662C4⋊C4×C83—21no—
663C4⋊C4×C83—21no—
664C4⋊C4×C83—21no—
665C4⋊C4×C83—21no—
666C4⋊C4×C83—21no—
667C4⋊C4×C83—21no—
668C4⋊C4×C83—21no—
669C4⋊C4×C83—21no—
670C4⋊C4×C83—21no—
671C4⋊C4×C83—21no—
672C4⋊C4×C83—21no—
673C4⋊C4×C83C2×D411yescharacteristic
674C4⋊C4×C83C2×D411yescharacteristic
675C4⋊C4×C83C2×D411yescharacteristic
676C4⋊C4×C83C2×D411yescharacteristic
677C4⋊C4×C83C2411yescharacteristic
678C4⋊C4×C83C2411yescharacteristic
679C4⋊C4×C83C2411yescharacteristic
680C4⋊C4×C83C2411yescharacteristic
681C4⋊C4×C83C2411yescharacteristic
682C4⋊C4×C83C2411yescharacteristic
683C22⋊C4×C83—21no—
684C22⋊C4×C83—21no—
685C22⋊C4×C83—21no—
686C22⋊C4×C83—21no—
687C22⋊C4×C83—21no—
688C22⋊C4×C83—21no—
689C22⋊C4×C83—21no—
690C22⋊C4×C83—21no—
691C22⋊C4×C83—21no—
692C22⋊C4×C83—21no—
693C22⋊C4×C83—21no—
694C22⋊C4×C83—21no—
695C22⋊C4×C83—21no—
696C22⋊C4×C83—21no—
697C22⋊C4×C83—21no—
698C22⋊C4×C83—21no—
699C22⋊C4×C83—21no—
700C22⋊C4×C83—21no—
701C22⋊C4×C83—21no—
702C22⋊C4×C83—21no—
703C22⋊C4×C83—21no—
704C22⋊C4×C83—21no—
705C22⋊C4×C83—21no—
706C22⋊C4×C83—21no—
707C22⋊C4×C83—21no—
708C22⋊C4×C83—21no—
709C22⋊C4×C83—21no—
710C22⋊C4×C83—21no—
711C22⋊C4×C83—21no—
712C22⋊C4×C83—21no—
713C22⋊C4×C83—21no—
714C22⋊C4×C83—21no—
715C22⋊C4×C83C2×D411yescharacteristic
716C22⋊C4×C83C2×D411yescharacteristic
717C22⋊C4×C83C2×D411yescharacteristic
718C22⋊C4×C83C2×D411yescharacteristic
719C22⋊C4×C83C2×D411yescharacteristic
720C22⋊C4×C83C2×D411yescharacteristic
721C22⋊C4×C83C2×D411yescharacteristic
722C22⋊C4×C83C2×D411yescharacteristic
723C42×C83—21no—
724C42×C83—21no—
725C42×C83—21no—
726C42×C83—21no—
727C42×C83—21no—
728C42×C83—21no—
729C42×C83—21no—
730C42×C83—21no—
731C42×C83C2×D411yescharacteristic
732C42×C83C2×D411yescharacteristic
733C42×C83C2411yescharacteristic
734C42×C83C2411yescharacteristic
735C23×C83—21no—
736C23×C83—21no—
737C23×C83—21no—
738C23×C83—21no—
739C23×C83—81no—
740C23×C83—81no—
741C23×C83—81no—
742C23×C83C22×D411yescharacteristic
743C23×C83C22×D411yescharacteristic
744C23×C83C22×D411yescharacteristic
745C23×C83C22×D411yescharacteristic
746C23×C83C22×D411yescharacteristic
747Q8×C83—24no—
748Q8×C83—21no—
749Q8×C83—21no—
750Q8×C83—21no—
751Q8×C83—21no—
752Q8×C83—21no—
753Q8×C83—21no—
754Q8×C83—21no—
755Q8×C83—21no—
756Q8×C83—21no—
757Q8×C83—21no—
758Q8×C83—41no—
759Q8×C83—41no—
760Q8×C83—42no—
761Q8×C83—42no—
762Q8×C83—42no—
763Q8×C83—42no—
764Q8×C83—81no—
765Q8×C83H(5,𝔽2)12yes—
766Q8×C83H(5,𝔽2)12yes—
767D4×C83—21no—
768D4×C83—21no—
769D4×C83—21no—
770D4×C83—21no—
771D4×C83—21no—
772D4×C83—21no—
773D4×C83—21no—
774D4×C83—21no—
775D4×C83—41no—
776D4×C83—41no—
777D4×C83—41no—
778D4×C83—41no—
779D4×C83—41no—
780D4×C83—41no—
781D4×C83—41no—
782D4×C83—41no—
783D4×C83—41no—
784D4×C83—41no—
785D4×C83—42no—
786D4×C83—42no—
787D4×C83—42no—
788D4×C83—42no—
789D4×C83—42no—
790D4×C83—42no—
791D4×C83—42no—
792D4×C83—81no—
793D4×C83—81no—
794D4×C83—81no—
795D4×C83—81no—
796D4×C83—81no—
797D4×C83—81no—
798D4×C83—81no—
799D4×C83—81no—
800D4×C83—81no—
801D4×C83—81no—
802D4×C83—81no—
803D4×C83—81no—
804D4×C83—81no—
805D4×C83—81no—
806C2×C4×C83—24no—
807C2×C4×C83—21no—
808C2×C4×C83—21no—
809C2×C4×C83—21no—
810C2×C4×C83—21no—
811C2×C4×C83—21no—
812C2×C4×C83—21no—
813C2×C4×C83—21no—
814C2×C4×C83—21no—
815C2×C4×C83—21no—
816C2×C4×C83—21no—
817C2×C4×C83—21no—
818C2×C4×C83—21no—
819C2×C4×C83—21no—
820C2×C4×C83—21no—
821C2×C4×C83—21no—
822C2×C4×C83—21no—
823C2×C4×C83—21no—
824C2×C4×C83—21no—
825C2×C4×C83—21no—
826C2×C4×C83—21no—
827C2×C4×C83—21no—
828C2×C4×C83—21no—
829C2×C4×C83—41no—
830C2×C4×C83—41no—
831C2×C4×C83—42no—
832C2×C4×C83—42no—
833C2×C4×C83—42no—
834C2×C4×C83—42no—
835C2×C4×C83—42no—
836C2×C4×C83—42no—
837C2×C4×C83—42no—
838C2×C4×C83—42no—
839C2×C4×C83—42no—
840C2×C4×C83—42no—
841C2×C4×C83—81no—
842C2×C4×C83—81no—
843C2×C4×C83—81no—
844C2×C4×C83—81no—
845C2×C4×C83—81no—
846C2×C4×C83—81no—
847C2×C4×C83—81no—
848C2×C4×C83—81no—
849C2×C4×C83C22×D411yescharacteristic
850C2×C4×C83C22×D411yescharacteristic
851C2×C4×C83C22×D411yescharacteristic
852C2×C4×C83C22×D411yescharacteristic
853C2×C4×C83C22×D411yescharacteristic
854C2×C4×C83C22×D411yescharacteristic
855C2×C4×C83C22×D411yescharacteristic
856C2×C4×C83C22×D411yescharacteristic
857C2×C4×C83C22×D411yescharacteristic
858C2×C4×C83C2511yescharacteristic
859C8×C83—21no—
860C8×C83—21no—
861C8×C83—21no—
862C8×C83—21no—
863C8×C83—21no—
864C8×C83—21no—
865C8×C83—21no—
866C8×C83—21no—
867C22×C83—21no—
868C22×C83—21no—
869C22×C83—21no—
870C22×C83—21no—
871C22×C83—21no—
872C22×C83—21no—
873C22×C83—21no—
874C22×C83—21no—
875C22×C83—21no—
876C22×C83—21no—
877C22×C83—21no—
878C22×C83—21no—
879C22×C83—21no—
880C22×C83—21no—
881C22×C83—21no—
882C22×C83—41no—
883C22×C83—41no—
884C22×C83—41no—
885C22×C83—41no—
886C22×C83—41no—
887C22×C83—41no—
888C22×C83—41no—
889C22×C83—41no—
890C22×C83—41no—
891C22×C83—41no—
892C22×C83—41no—
893C22×C83—41no—
894C22×C83—162no—
895C22×C83C23×D411yescharacteristic
896C4×C83—21no—
897C4×C83—21no—
898C4×C83—21no—
899C4×C83—21no—
900C4×C83—22no—
901C4×C83—22no—
902C4×C83—21no—
903C4×C83—21no—
904C4×C83—21no—
905C4×C83—21no—
906C4×C83—21no—
907C4×C83—41no—
908C4×C83—41no—
909C4×C83—41no—
910C4×C83—41no—
911C4×C83—41no—
912C4×C83—41no—
913C4×C83—41no—
914C4×C83—41no—
915C4×C83—41no—
916C4×C83—41no—
917C4×C83C2×H(5,𝔽2)11yescharacteristic
918C4×C83C2×H(5,𝔽2)11yescharacteristic
919#61681C8311yesmaximal, characteristic, direct product factor, Sylow
920C2×C83—41no—
921C2×C83—41no—
922C2×C83—41no—
923C2×C83—41no—
924C2×C83—41no—
925C2×C83—81no—
926C2×C83—81no—
927C2×C83—81no—
928C2×C83—81no—
929C2×C83#348411yescharacteristic
930C2×C83#358411yescharacteristic
931C2×C83#358611yescharacteristic
932#3551C2×C8311yescharacteristic, complemented
933#3497C2×C8311yescharacteristic, complemented
934#3327C2×C8311yescharacteristic, complemented
935#3326C2×C8311yescharacteristic, complemented
936#3320C2×C8311yescharacteristic, complemented
937#3317C2×C8311yescharacteristic, complemented
938#3312C2×C8311yescharacteristic, complemented
939#3309C2×C8311yescharacteristic, complemented
940#3301C2×C8311yescharacteristic, complemented
941#3300C2×C8311yescharacteristic, complemented
942#3285C2×C8311yescharacteristic, complemented
943#3282C2×C8311yescharacteristic, complemented
944#3277C2×C8311yescharacteristic, complemented
945#3275C2×C8311yescharacteristic, complemented
946#3271C2×C8311yescharacteristic, complemented
947#3270C2×C8311yescharacteristic, complemented
948#3268C2×C8311yescharacteristic, complemented
949#3266C2×C8311yescharacteristic, complemented
950#3219C2×C8311yescharacteristic, complemented
951#3212C2×C8311yescharacteristic, complemented
952#3204C2×C8311yescharacteristic, complemented
953#3203C2×C8311yescharacteristic, complemented
954#3201C2×C8311yescharacteristic, complemented
955#3198C2×C8311yescharacteristic, complemented
956#3117C2×C8311yescharacteristic, complemented
957#3108C2×C8311yescharacteristic, complemented
958#3013C2×C8311yescharacteristic, complemented
959#3013C2×C8311yescharacteristic, complemented
960#3011C2×C8311yescharacteristic, complemented
961#3010C2×C8311yescharacteristic, complemented
962#2981C2×C8311yescharacteristic, complemented
963C83#6168111yescharacteristic, direct product factor, Sylow
964C2×2−1+4C22×C8311yescharacteristic
965C2×2−1+4C22×C8311yescharacteristic, complemented
966C2×#137C22×C8311yescharacteristic
967C2×#137C22×C8311yescharacteristic
968C2×#137C22×C8311yescharacteristic, complemented
969C2×AGL(1,ℤ/8)C22×C8311yescharacteristic
970C2×#135C22×C8311yescharacteristic
971C2×#135C22×C8311yescharacteristic
972C22×Q16C22×C8311yescharacteristic, complemented
973C22×SD16C22×C8311yescharacteristic
974#563—21no—
975#560—21no—
976#555—21no—
977#553C22×C8311yescharacteristic
978#553C22×C8311yescharacteristic
979#552C22×C8311yescharacteristic
980#552C22×C8311yescharacteristic
981#551—21no—
982#550—21no—
983#550C22×C8311yescharacteristic
984#550C22×C8311yescharacteristic, complemented
985D4×Q8—21no—
986D4×Q8C22×C8311yescharacteristic
987D4×Q8C22×C8311yescharacteristic, complemented
988#548—21no—
989#548—21no—
990#548C22×C8311yescharacteristic
991#548C22×C8311yescharacteristic
992#548C22×C8311yescharacteristic
993#548C22×C8311yescharacteristic
994#548C22×C8311yescharacteristic, complemented
995#548C22×C8311yescharacteristic, complemented
996#546C22×C8311yescharacteristic
997#546C22×C8311yescharacteristic
998#540—21no—
999#540—21no—
1000#538—21no—
1001#538—21no—
1002#537—21no—
1003#537—21no—
1004#537C22×C8311yescharacteristic
1005#537C22×C8311yescharacteristic
1006#537C22×C8311yescharacteristic
1007#537C22×C8311yescharacteristic, complemented
1008#536C22×C8311yescharacteristic
1009#535C22×C8311yescharacteristic
1010#532—21no—
1011#532—21no—
1012#532C22×C8311yescharacteristic
1013#532C22×C8311yescharacteristic, complemented
1014#529C22×C8311yescharacteristic
1015#529C22×C8311yescharacteristic
1016C2×C4×Q8C22×C8311yescharacteristic, complemented
1017#497C22×C8311yescharacteristic
1018#496C22×C8311yescharacteristic
1019#495C22×C8311yescharacteristic
1020#495C22×C8311yescharacteristic
1021#491C22×C8311yescharacteristic, complemented
1022#490C22×C8311yescharacteristic, complemented
1023#488C22×C8311yescharacteristic, complemented
1024#488C22×C8311yescharacteristic, complemented
1025#485C22×C8311yescharacteristic
1026#485C22×C8311yescharacteristic, complemented
1027#484C22×C8311yescharacteristic, complemented
1028#484C22×C8311yescharacteristic, complemented
1029#483C22×C8311yescharacteristic, complemented
1030#483C22×C8311yescharacteristic, complemented
1031#482C22×C8311yescharacteristic
1032#482C22×C8311yescharacteristic, complemented
1033#481C22×C8311yescharacteristic
1034#481C22×C8311yescharacteristic, complemented
1035#480C22×C8311yescharacteristic
1036#480C22×C8311yescharacteristic, complemented
1037#479C22×C8311yescharacteristic, complemented
1038#479C22×C8311yescharacteristic, complemented
1039#479C22×C8311yescharacteristic, complemented
1040#479C22×C8311yescharacteristic, complemented
1041#470C22×C8311yescharacteristic
1042#470C22×C8311yescharacteristic, complemented
1043#469C22×C8311yescharacteristic
1044#469C22×C8311yescharacteristic
1045#468C22×C8311yescharacteristic
1046#468C22×C8311yescharacteristic
1047#468C22×C8311yescharacteristic
1048#468C22×C8311yescharacteristic, complemented
1049#467C22×C8311yescharacteristic
1050#467C22×C8311yescharacteristic, complemented
1051#466C22×C8311yescharacteristic
1052#466C22×C8311yescharacteristic
1053#465C22×C8311yescharacteristic
1054#465C22×C8311yescharacteristic
1055#465C22×C8311yescharacteristic
1056#465C22×C8311yescharacteristic, complemented
1057#464C22×C8311yescharacteristic
1058#464C22×C8311yescharacteristic
1059#464C22×C8311yescharacteristic
1060#464C22×C8311yescharacteristic
1061#464C22×C8311yescharacteristic, complemented
1062#464C22×C8311yescharacteristic, complemented
1063#463C22×C8311yescharacteristic
1064#463C22×C8311yescharacteristic
1065#462C22×C8311yescharacteristic, complemented
1066#461C22×C8311yescharacteristic
1067#460C22×C8311yescharacteristic, complemented
1068#459C22×C8311yescharacteristic
1069#452C22×C8311yescharacteristic
1070#452C22×C8311yescharacteristic
1071#452C22×C8311yescharacteristic
1072#452C22×C8311yescharacteristic
1073#452C22×C8311yescharacteristic, complemented
1074#452C22×C8311yescharacteristic, complemented
1075#452C22×C8311yescharacteristic, complemented
1076#452C22×C8311yescharacteristic, complemented
1077#452C22×C8311yescharacteristic, complemented
1078#452C22×C8311yescharacteristic, complemented
1079#451C22×C8311yescharacteristic
1080#451C22×C8311yescharacteristic
1081#451C22×C8311yescharacteristic, complemented
1082#451C22×C8311yescharacteristic, complemented
1083#451C22×C8311yescharacteristic, complemented
1084#451C22×C8311yescharacteristic, complemented
1085#451C22×C8311yescharacteristic, complemented
1086#450C22×C8311yescharacteristic
1087#449C22×C8311yescharacteristic
1088#449C22×C8311yescharacteristic
1089#449C22×C8311yescharacteristic
1090#449C22×C8311yescharacteristic
1091#449C22×C8311yescharacteristic
1092#449C22×C8311yescharacteristic
1093#449C22×C8311yescharacteristic
1094#449C22×C8311yescharacteristic
1095#449C22×C8311yescharacteristic
1096#449C22×C8311yescharacteristic
1097#448C22×C8311yescharacteristic
1098#448C22×C8311yescharacteristic
1099#448C22×C8311yescharacteristic
1100#448C22×C8311yescharacteristic
1101#448C22×C8311yescharacteristic
1102#448C22×C8311yescharacteristic
1103#448C22×C8311yescharacteristic, complemented
1104#447C22×C8311yescharacteristic
1105#441C22×C8311yescharacteristic, complemented
1106#441C22×C8311yescharacteristic, complemented
1107#440C22×C8311yescharacteristic
1108#440C22×C8311yescharacteristic
1109C4×Q16C22×C8311yescharacteristic, complemented
1110C4×Q16C22×C8311yescharacteristic, complemented
1111C4×SD16C22×C8311yescharacteristic
1112C4×SD16C22×C8311yescharacteristic
1113#436C22×C8311yescharacteristic
1114#436C22×C8311yescharacteristic, complemented
1115#435C22×C8311yescharacteristic
1116#435C22×C8311yescharacteristic
1117#435C22×C8311yescharacteristic, complemented
1118#435C22×C8311yescharacteristic, complemented
1119C8×D4C22×C8311yescharacteristic
1120C8×D4C22×C8311yescharacteristic, complemented
1121#432C22×C8311yescharacteristic, complemented
1122#431C22×C8311yescharacteristic, complemented
1123#419C22×C8311yescharacteristic
1124#419C22×C8311yescharacteristic, complemented
1125#417C22×C8311yescharacteristic, complemented
1126#417C22×C8311yescharacteristic, complemented
1127#416C22×C8311yescharacteristic
1128#416C22×C8311yescharacteristic, complemented
1129C2×#103C22×C8311yescharacteristic, complemented
1130C2×#103C22×C8311yescharacteristic, complemented
1131#408C22×C8311yescharacteristic
1132#408C22×C8311yescharacteristic
1133#408C22×C8311yescharacteristic, complemented
1134#408C22×C8311yescharacteristic, complemented
11352−1+4—42no—
11362−1+4—42no—
11372−1+4—42no—
11382−1+4—42no—
1139C2×#41—21no—
1140C2×#41—21no—
1141C2×#41—21no—
1142C2×#41—21no—
1143C2×#41—21no—
1144C2×#41—21no—
1145C2×#41C23×C8311yescharacteristic
1146C2×#41C23×C8311yescharacteristic
1147C2×#41C23×C8311yescharacteristic
1148C2×#41C23×C8311yescharacteristic
1149C2×#41C23×C8311yescharacteristic
1150C2×#41C23×C8311yescharacteristic
1151C2×#41C23×C8311yescharacteristic
1152C2×#41C23×C8311yescharacteristic
1153C2×#41C23×C8311yescharacteristic
1154C2×#41C23×C8311yescharacteristic
1155C22×Q8—21no—
1156C22×Q8—21no—
1157C22×Q8C23×C8311yescharacteristic
1158C22×Q8C23×C8311yescharacteristic
1159C22×Q8C23×C8311yescharacteristic
1160C22×Q8C23×C8311yescharacteristic
1161C22×Q8C23×C8311yescharacteristic
1162C22×Q8C23×C8311yescharacteristic
1163C22×D4C23×C8311yescharacteristic
1164#137—42no—
1165#137—42no—
1166#137—42no—
1167AGL(1,ℤ/8)—42no—
1168#135—42no—
1169#135—42no—
1170C2×Q16—42no—
1171C2×Q16C23×C8311yescharacteristic
1172C2×Q16C23×C8311yescharacteristic
1173C2×Q16C23×C8311yescharacteristic
1174C2×Q16C23×C8311yescharacteristic
1175C2×Q16C23×C8311yescharacteristic
1176C2×Q16C23×C8311yescharacteristic
1177C2×Q16C23×C8311yescharacteristic
1178C2×Q16C23×C8311yescharacteristic
1179C2×SD16—42no—
1180C2×SD16C23×C8311yescharacteristic
1181C2×SD16C23×C8311yescharacteristic
1182C2×SD16C23×C8311yescharacteristic
1183C2×SD16C23×C8311yescharacteristic
1184C2×SD16C23×C8311yescharacteristic
1185C2×SD16C23×C8311yescharacteristic
1186C2×SD16C23×C8311yescharacteristic
1187C2×SD16C23×C8311yescharacteristic
1188C2×SD16C23×C8311yescharacteristic
1189C2×SD16C23×C8311yescharacteristic
1190C2×SD16C23×C8311yescharacteristic
1191C2×SD16C23×C8311yescharacteristic
1192C2×D8C23×C8311yescharacteristic
1193C2×D8C23×C8311yescharacteristic
1194C2×D8C23×C8311yescharacteristic
1195C2×D8C23×C8311yescharacteristic
1196C2×M16C23×C8311yescharacteristic
1197C2×M16C23×C8311yescharacteristic
1198C2×M16C23×C8311yescharacteristic
1199C2×M16C23×C8311yescharacteristic
1200C22×C8C23×C8311yescharacteristic
1201C22×C8C23×C8311yescharacteristic
1202C22×C8C23×C8311yescharacteristic
1203C22×C8C23×C8311yescharacteristic
1204C4⋊Q8—21no—
1205C4⋊Q8—21no—
1206C4⋊Q8—21no—
1207C4⋊Q8D4×C8311yescharacteristic
1208C4⋊Q8C23×C8311yescharacteristic
1209#127—21no—
1210#127—21no—
1211#127—21no—
1212#127D4×C8311yescharacteristic
1213#127C23×C8311yescharacteristic
1214#126—21no—
1215#126—21no—
1216#126—21no—
1217#126—21no—
1218#126—21no—
1219#126—21no—
1220#125—21no—
1221#125—21no—
1222#125C23×C8311yescharacteristic
1223#125C23×C8311yescharacteristic
1224#124—21no—
1225#124—21no—
1226#124—21no—
1227#124—21no—
1228#124—21no—
1229#124—21no—
1230#124—21no—
1231#124—21no—
1232#124D4×C8311yescharacteristic
1233#124D4×C8311yescharacteristic
1234#124C23×C8311yescharacteristic
1235#124C23×C8311yescharacteristic
1236#124C23×C8311yescharacteristic
1237#124C23×C8311yescharacteristic
1238#123—21no—
1239#123—21no—
1240#123—21no—
1241#123—21no—
1242#123—21no—
1243#123—21no—
1244#123—21no—
1245#123—21no—
1246#123—21no—
1247#123—21no—
1248C22⋊Q8—21no—
1249C22⋊Q8—21no—
1250C22⋊Q8—21no—
1251C22⋊Q8—21no—
1252C22⋊Q8—21no—
1253C22⋊Q8—21no—
1254C22⋊Q8—21no—
1255C22⋊Q8—21no—
1256C22⋊Q8—21no—
1257C22⋊Q8—21no—
1258C22⋊Q8—21no—
1259C22⋊Q8—21no—
1260C22⋊Q8—21no—
1261C22⋊Q8—21no—
1262C22⋊Q8C23×C8311yescharacteristic
1263C22⋊Q8C23×C8311yescharacteristic
1264C22⋊Q8C23×C8311yescharacteristic
1265C22⋊Q8C23×C8311yescharacteristic
1266C22⋊Q8C23×C8311yescharacteristic
1267C22⋊Q8C23×C8311yescharacteristic
1268C22⋊Q8C23×C8311yescharacteristic
1269C22⋊Q8C23×C8311yescharacteristic
1270C22⋊Q8C23×C8311yescharacteristic
1271C22⋊Q8C23×C8311yescharacteristic
1272#121—21no—
1273#121—21no—
1274#121—21no—
1275#121—21no—
1276#121—21no—
1277#121—21no—
1278#121—21no—
1279#121—21no—
1280#121—21no—
1281#121—21no—
1282#121—21no—
1283#121—21no—
1284#121—21no—
1285#121—21no—
1286#121—21no—
1287#121—21no—
1288#121—21no—
1289#121—21no—
1290#121—21no—
1291#121—21no—
1292#121—21no—
1293#121—21no—
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121D4×C8311yescharacteristic
1301#121D4×C8311yescharacteristic
1302#121D4×C8311yescharacteristic
1303#121D4×C8311yescharacteristic
1304#121C23×C8311yescharacteristic
1305#121C23×C8311yescharacteristic
1306#121C23×C8311yescharacteristic
1307#121C23×C8311yescharacteristic
1308#121C23×C8311yescharacteristic
1309#121C23×C8311yescharacteristic
1310#121C23×C8311yescharacteristic
1311#121C23×C8311yescharacteristic
1312#121C23×C8311yescharacteristic
1313#121C23×C8311yescharacteristic
1314#120—21no—
1315#120—21no—
1316#120—21no—
1317#120—21no—
1318C4×Q8—21no—
1319C4×Q8—21no—
1320C4×Q8C23×C8311yescharacteristic
1321C4×Q8C23×C8311yescharacteristic
1322C4×Q8C23×C8311yescharacteristic
1323C4×Q8C23×C8311yescharacteristic
1324C4×Q8C23×C8311yescharacteristic
1325C4×Q8C23×C8311yescharacteristic
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4—21no—
1331C4×D4—21no—
1332C4×D4—21no—
1333C4×D4—21no—
1334C4×D4—21no—
1335C4×D4—21no—
1336C4×D4—21no—
1337C4×D4—21no—
1338C4×D4—21no—
1339C4×D4—21no—
1340C4×D4—21no—
1341C4×D4—21no—
1342C4×D4C23×C8311yescharacteristic
1343C4×D4C23×C8311yescharacteristic
1344C4×D4C23×C8311yescharacteristic
1345C4×D4C23×C8311yescharacteristic
1346C4×D4C23×C8311yescharacteristic
1347C4×D4C23×C8311yescharacteristic
1348#117—21no—
1349#117—21no—
1350#117—21no—
1351#117—21no—
1352#117C23×C8311yescharacteristic
1353#117C23×C8311yescharacteristic
1354C2×C4⋊C4—21no—
1355C2×C4⋊C4C23×C8311yescharacteristic
1356C2×C4⋊C4C23×C8311yescharacteristic
1357C2×C4⋊C4C23×C8311yescharacteristic
1358C2×C22⋊C4—21no—
1359C2×C22⋊C4—21no—
1360C2×C42—21no—
1361C2×C42C23×C8311yescharacteristic
1362#107C23×C8311yescharacteristic
1363#107C23×C8311yescharacteristic
1364#107C23×C8311yescharacteristic
1365#107C23×C8311yescharacteristic
1366#106C23×C8311yescharacteristic
1367#106C23×C8311yescharacteristic
1368#106C23×C8311yescharacteristic
1369#106C23×C8311yescharacteristic
1370C4⋊C8C23×C8311yescharacteristic
1371C4⋊C8C23×C8311yescharacteristic
1372C4⋊C8C23×C8311yescharacteristic
1373C4⋊C8C23×C8311yescharacteristic
1374#103C23×C8311yescharacteristic
1375#103C23×C8311yescharacteristic
1376#103C23×C8311yescharacteristic
1377#103C23×C8311yescharacteristic
1378#103C23×C8311yescharacteristic
1379#103C23×C8311yescharacteristic
1380#103C23×C8311yescharacteristic
1381#103C23×C8311yescharacteristic
1382#103C23×C8311yescharacteristic
1383#103C23×C8311yescharacteristic
1384#103C23×C8311yescharacteristic
1385#103C23×C8311yescharacteristic
1386#103C23×C8311yescharacteristic
1387#103C23×C8311yescharacteristic
1388#103C23×C8311yescharacteristic
1389#103C23×C8311yescharacteristic
1390#103C23×C8311yescharacteristic
1391#103C23×C8311yescharacteristic
1392#103C23×C8311yescharacteristic
1393#103C23×C8311yescharacteristic
1394#102C23×C8311yescharacteristic
1395#102C23×C8311yescharacteristic
1396#102C23×C8311yescharacteristic
1397#102C23×C8311yescharacteristic
1398#102C23×C8311yescharacteristic
1399#102C23×C8311yescharacteristic
1400#102C23×C8311yescharacteristic
1401#102C23×C8311yescharacteristic
1402#102C23×C8311yescharacteristic
1403#102C23×C8311yescharacteristic
1404#102C23×C8311yescharacteristic
1405#102C23×C8311yescharacteristic
1406C22⋊C8C23×C8311yescharacteristic
1407C22⋊C8C23×C8311yescharacteristic
1408C22⋊C8C23×C8311yescharacteristic
1409C22⋊C8C23×C8311yescharacteristic
1410C22⋊C8C23×C8311yescharacteristic
1411C22⋊C8C23×C8311yescharacteristic
1412C22⋊C8C23×C8311yescharacteristic
1413C22⋊C8C23×C8311yescharacteristic
1414C22⋊C8C23×C8311yescharacteristic
1415C22⋊C8C23×C8311yescharacteristic
1416C22⋊C8C23×C8311yescharacteristic
1417C22⋊C8C23×C8311yescharacteristic
1418#97C23×C8311yescharacteristic
1419#97C23×C8311yescharacteristic
1420C4×C8C23×C8311yescharacteristic
1421C4×C8C23×C8311yescharacteristic
1422C24—21no—
1423#41—22no—
1424#41—22no—
1425#41—22no—
1426#41—22no—
1427#41—41no—
1428#41—41no—
1429#41—41no—
1430#41—41no—
1431#41—41no—
1432#41—41no—
1433#41—41no—
1434#41—41no—
1435#41—41no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—44no—
1440#41—44no—
1441#41—44no—
1442#41—44no—
1443#41—41no—
1444#41—41no—
1445#41—41no—
1446#41—41no—
1447#41—44no—
1448#41—44no—
1449C2×Q8—22no—
1450C2×Q8—22no—
1451C2×Q8—21no—
1452C2×Q8—21no—
1453C2×Q8—21no—
1454C2×Q8—21no—
1455C2×Q8—21no—
1456C2×Q8—21no—
1457C2×Q8—22no—
1458C2×Q8—22no—
1459C2×Q8—22no—
1460C2×Q8—22no—
1461C2×Q8—41no—
1462C2×Q8—41no—
1463C2×Q8—41no—
1464C2×Q8—41no—
1465C2×Q8—41no—
1466C2×Q8—41no—
1467C2×Q8—44no—
1468C2×Q8—44no—
1469C2×Q8C2×D4×C8311yescharacteristic
1470C2×Q8C2×D4×C8311yescharacteristic
1471C2×Q8C24×C8311yescharacteristic
1472C2×Q8C24×C8311yescharacteristic
1473C2×Q8C24×C8311yescharacteristic
1474C2×Q8C24×C8311yescharacteristic
1475C2×Q8C24×C8311yescharacteristic
1476C2×Q8C24×C8311yescharacteristic
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—41no—
1499C2×D4—41no—
1500C2×D4C2×D4×C8311yescharacteristic
1501C2×D4C2×D4×C8311yescharacteristic
1502C2×D4C2×D4×C8311yescharacteristic
1503C2×D4C2×D4×C8311yescharacteristic
1504C2×D4C2×D4×C8311yescharacteristic
1505C2×D4C2×D4×C8311yescharacteristic
1506C2×D4C2×D4×C8311yescharacteristic
1507C2×D4C2×D4×C8311yescharacteristic
1508C2×D4C2×D4×C8311yescharacteristic
1509C2×D4C2×D4×C8311yescharacteristic
1510C2×D4C24×C8311yescharacteristic
1511C2×D4C24×C8311yescharacteristic
1512C2×D4C24×C8311yescharacteristic
1513C2×D4C24×C8311yescharacteristic
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×C4C2×D4×C8311yescharacteristic
1534C22×C4C2×D4×C8311yescharacteristic
1535C22×C4C24×C8311yescharacteristic
1536C22×C4C24×C8311yescharacteristic
1537C22×C4C24×C8311yescharacteristic
1538C22×C4C24×C8311yescharacteristic
1539C22×C4C24×C8311yescharacteristic
1540Q16—22no—
1541Q16—22no—
1542Q16—22no—
1543Q16—22no—
1544Q16—41no—
1545Q16—41no—
1546Q16—41no—
1547Q16—41no—
1548SD16—22no—
1549SD16—22no—
1550SD16—22no—
1551SD16—22no—
1552SD16—41no—
1553SD16—41no—
1554SD16—41no—
1555SD16—41no—
1556SD16—41no—
1557SD16—41no—
1558SD16—41no—
1559SD16—41no—
1560D8—41no—
1561D8—41no—
1562D8—41no—
1563D8—41no—
1564M16—41no—
1565M16—41no—
1566M16—41no—
1567M16—41no—
1568C2×C8—41no—
1569C2×C8—41no—
1570C2×C8—41no—
1571C2×C8—41no—
1572C2×C8C24×C8311yescharacteristic
1573C2×C8C24×C8311yescharacteristic
1574C2×C8C24×C8311yescharacteristic
1575C2×C8C24×C8311yescharacteristic
1576C2×C8C24×C8311yescharacteristic
1577C2×C8C24×C8311yescharacteristic
1578C2×C8C24×C8311yescharacteristic
1579C2×C8C24×C8311yescharacteristic
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4—21no—
1599C4⋊C4—21no—
1600C4⋊C4—21no—
1601C4⋊C4—21no—
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4C2×D4×C8311yescharacteristic
1606C4⋊C4C2×D4×C8311yescharacteristic
1607C4⋊C4C2×D4×C8311yescharacteristic
1608C4⋊C4C2×D4×C8311yescharacteristic
1609C4⋊C4C24×C8311yescharacteristic
1610C4⋊C4C24×C8311yescharacteristic
1611C4⋊C4C24×C8311yescharacteristic
1612C4⋊C4C24×C8311yescharacteristic
1613C4⋊C4C24×C8311yescharacteristic
1614C4⋊C4C24×C8311yescharacteristic
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4C2×D4×C8311yescharacteristic
1648C22⋊C4C2×D4×C8311yescharacteristic
1649C22⋊C4C2×D4×C8311yescharacteristic
1650C22⋊C4C2×D4×C8311yescharacteristic
1651C22⋊C4C2×D4×C8311yescharacteristic
1652C22⋊C4C2×D4×C8311yescharacteristic
1653C22⋊C4C2×D4×C8311yescharacteristic
1654C22⋊C4C2×D4×C8311yescharacteristic
1655C42—21no—
1656C42—21no—
1657C42—21no—
1658C42—21no—
1659C42—21no—
1660C42—21no—
1661C42—21no—
1662C42—21no—
1663C42C2×D4×C8311yescharacteristic
1664C42C2×D4×C8311yescharacteristic
1665C42C24×C8311yescharacteristic
1666C42C24×C8311yescharacteristic
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—81no—
1672C23—81no—
1673C23—81no—
1674C23C22×D4×C8311yescharacteristic
1675C23C22×D4×C8311yescharacteristic
1676C23C22×D4×C8311yescharacteristic
1677C23C22×D4×C8311yescharacteristic
1678C23C22×D4×C8311yescharacteristic
1679Q8—24no—
1680Q8—21no—
1681Q8—21no—
1682Q8—21no—
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—21no—
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—41no—
1691Q8—41no—
1692Q8—42no—
1693Q8—42no—
1694Q8—42no—
1695Q8—42no—
1696Q8—81no—
1697Q8H(5,𝔽2)×C8312yes—
1698Q8H(5,𝔽2)×C8312yes—
1699D4—21no—
1700D4—21no—
1701D4—21no—
1702D4—21no—
1703D4—21no—
1704D4—21no—
1705D4—21no—
1706D4—21no—
1707D4—41no—
1708D4—41no—
1709D4—41no—
1710D4—41no—
1711D4—41no—
1712D4—41no—
1713D4—41no—
1714D4—41no—
1715D4—41no—
1716D4—41no—
1717D4—42no—
1718D4—42no—
1719D4—42no—
1720D4—42no—
1721D4—42no—
1722D4—42no—
1723D4—42no—
1724D4—81no—
1725D4—81no—
1726D4—81no—
1727D4—81no—
1728D4—81no—
1729D4—81no—
1730D4—81no—
1731D4—81no—
1732D4—81no—
1733D4—81no—
1734D4—81no—
1735D4—81no—
1736D4—81no—
1737D4—81no—
1738C2×C4—24no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—41no—
1762C2×C4—41no—
1763C2×C4—42no—
1764C2×C4—42no—
1765C2×C4—42no—
1766C2×C4—42no—
1767C2×C4—42no—
1768C2×C4—42no—
1769C2×C4—42no—
1770C2×C4—42no—
1771C2×C4—42no—
1772C2×C4—42no—
1773C2×C4—81no—
1774C2×C4—81no—
1775C2×C4—81no—
1776C2×C4—81no—
1777C2×C4—81no—
1778C2×C4—81no—
1779C2×C4—81no—
1780C2×C4—81no—
1781C2×C4C22×D4×C8311yescharacteristic
1782C2×C4C22×D4×C8311yescharacteristic
1783C2×C4C22×D4×C8311yescharacteristic
1784C2×C4C22×D4×C8311yescharacteristic
1785C2×C4C22×D4×C8311yescharacteristic
1786C2×C4C22×D4×C8311yescharacteristic
1787C2×C4C22×D4×C8311yescharacteristic
1788C2×C4C22×D4×C8311yescharacteristic
1789C2×C4C22×D4×C8311yescharacteristic
1790C2×C4C25×C8311yescharacteristic
1791C8—21no—
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—21no—
1798C8—21no—
1799C22—21no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—21no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—162no—
1827C22C23×D4×C8311yescharacteristic
1828C4—21no—
1829C4—21no—
1830C4—21no—
1831C4—21no—
1832C4—22no—
1833C4—22no—
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—41no—
1849C4C2×H(5,𝔽2)×C8311yescharacteristic
1850C4C2×H(5,𝔽2)×C8311yescharacteristic
1851C2—41no—
1852C2—41no—
1853C2—41no—
1854C2—41no—
1855C2—41no—
1856C2—81no—
1857C2—81no—
1858C2—81no—
1859C2—81no—
1860C2C83×#348411yescharacteristic
1861C2C83×#358411yescharacteristic
1862C2C83×#358611yescharacteristic
subgroupG/H
center, socleC22×C83C23×D4
commutator, Frattini, cosocleC2×C4C25×C83
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C83 ◁ #532×C83 ◁ G

Complements

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

NH ≅ G/Ntype
1. C83×#3551C2semidirect
2. C83×#3497C2semidirect
3. C83×#3327C2semidirect
4. C83×#3326C2semidirect
5. C83×#3320C2semidirect
6. C83×#3317C2semidirect
7. C83×#3312C2semidirect
8. C83×#3309C2semidirect
9. C83×#3301C2semidirect
10. C83×#3300C2semidirect
11. C83×#3285C2semidirect
12. C83×#3282C2semidirect
13. C83×#3277C2semidirect
14. C83×#3275C2semidirect
15. C83×#3271C2semidirect
16. C83×#3270C2semidirect
17. C83×#3268C2semidirect
18. C83×#3266C2semidirect
19. C83×#3219C2semidirect
20. C83×#3212C2semidirect
21. C83×#3204C2semidirect
22. C83×#3203C2semidirect
23. C83×#3201C2semidirect
24. C83×#3198C2semidirect
25. C83×#3117C2semidirect
26. C83×#3108C2semidirect
27. C83×#3013C2semidirect
28. C83×#3013C2semidirect
29. C83×#3011C2semidirect
30. C83×#3010C2semidirect
31. C83×#2981C2semidirect
33. C2×2−1+4×C83C22semidirect
36. C2×#137×C83C22semidirect
40. C22×Q16×C83C22semidirect
52. #550×C83C22semidirect
55. D4×Q8×C83C22semidirect
62. #548×C83C22semidirect
63. #548×C83C22semidirect
75. #537×C83C22semidirect
81. #532×C83C22semidirect
84. C2×C4×Q8×C83C22semidirect
89. #491×C83C22semidirect
90. #490×C83C22semidirect
91. #488×C83C22semidirect
92. #488×C83C22semidirect
94. #485×C83C22semidirect
95. #484×C83C22semidirect
96. #484×C83C22semidirect
97. #483×C83C22semidirect
98. #483×C83C22semidirect
100. #482×C83C22semidirect
102. #481×C83C22semidirect
104. #480×C83C22semidirect
105. #479×C83C22semidirect
106. #479×C83C22semidirect
107. #479×C83C22semidirect
108. #479×C83C22semidirect
110. #470×C83C22semidirect
116. #468×C83C22semidirect
118. #467×C83C22semidirect
124. #465×C83C22semidirect
129. #464×C83C22semidirect
130. #464×C83C22semidirect
133. #462×C83C22semidirect
135. #460×C83C22semidirect
141. #452×C83C22semidirect
142. #452×C83C22semidirect
143. #452×C83C22semidirect
144. #452×C83C22semidirect
145. #452×C83C22semidirect
146. #452×C83C22semidirect
149. #451×C83C22semidirect
150. #451×C83C22semidirect
151. #451×C83C22semidirect
152. #451×C83C22semidirect
153. #451×C83C22semidirect
171. #448×C83C22semidirect
173. #441×C83C22semidirect
174. #441×C83C22semidirect
177. C4×Q16×C83C22semidirect
178. C4×Q16×C83C22semidirect
182. #436×C83C22semidirect
185. #435×C83C22semidirect
186. #435×C83C22semidirect
188. C8×D4×C83C22semidirect
189. #432×C83C22semidirect
190. #431×C83C22semidirect
192. #419×C83C22semidirect
193. #417×C83C22semidirect
194. #417×C83C22semidirect
196. #416×C83C22semidirect
197. C2×#103×C83C22semidirect
198. C2×#103×C83C22semidirect
201. #408×C83C22semidirect
202. #408×C83C22semidirect
919. #61681C83direct (N × H)
932. #3551C2×C83semidirect
933. #3497C2×C83semidirect
934. #3327C2×C83semidirect
935. #3326C2×C83semidirect
936. #3320C2×C83semidirect
937. #3317C2×C83semidirect
938. #3312C2×C83semidirect
939. #3309C2×C83semidirect
940. #3301C2×C83semidirect
941. #3300C2×C83semidirect
942. #3285C2×C83semidirect
943. #3282C2×C83semidirect
944. #3277C2×C83semidirect
945. #3275C2×C83semidirect
946. #3271C2×C83semidirect
947. #3270C2×C83semidirect
948. #3268C2×C83semidirect
949. #3266C2×C83semidirect
950. #3219C2×C83semidirect
951. #3212C2×C83semidirect
952. #3204C2×C83semidirect
953. #3203C2×C83semidirect
954. #3201C2×C83semidirect
955. #3198C2×C83semidirect
956. #3117C2×C83semidirect
957. #3108C2×C83semidirect
958. #3013C2×C83semidirect
959. #3013C2×C83semidirect
960. #3011C2×C83semidirect
961. #3010C2×C83semidirect
962. #2981C2×C83semidirect
963. C83#61681direct (N × H)
965. C2×2−1+4C22×C83semidirect
968. C2×#137C22×C83semidirect
972. C22×Q16C22×C83semidirect
984. #550C22×C83semidirect
987. D4×Q8C22×C83semidirect
994. #548C22×C83semidirect
995. #548C22×C83semidirect
1007. #537C22×C83semidirect
1013. #532C22×C83semidirect
1016. C2×C4×Q8C22×C83semidirect
1021. #491C22×C83semidirect
1022. #490C22×C83semidirect
1023. #488C22×C83semidirect
1024. #488C22×C83semidirect
1026. #485C22×C83semidirect
1027. #484C22×C83semidirect
1028. #484C22×C83semidirect
1029. #483C22×C83semidirect
1030. #483C22×C83semidirect
1032. #482C22×C83semidirect
1034. #481C22×C83semidirect
1036. #480C22×C83semidirect
1037. #479C22×C83semidirect
1038. #479C22×C83semidirect
1039. #479C22×C83semidirect
1040. #479C22×C83semidirect
1042. #470C22×C83semidirect
1048. #468C22×C83semidirect
1050. #467C22×C83semidirect
1056. #465C22×C83semidirect
1061. #464C22×C83semidirect
1062. #464C22×C83semidirect
1065. #462C22×C83semidirect
1067. #460C22×C83semidirect
1073. #452C22×C83semidirect
1074. #452C22×C83semidirect
1075. #452C22×C83semidirect
1076. #452C22×C83semidirect
1077. #452C22×C83semidirect
1078. #452C22×C83semidirect
1081. #451C22×C83semidirect
1082. #451C22×C83semidirect
1083. #451C22×C83semidirect
1084. #451C22×C83semidirect
1085. #451C22×C83semidirect
1103. #448C22×C83semidirect
1105. #441C22×C83semidirect
1106. #441C22×C83semidirect
1109. C4×Q16C22×C83semidirect
1110. C4×Q16C22×C83semidirect
1114. #436C22×C83semidirect
1117. #435C22×C83semidirect
1118. #435C22×C83semidirect
1120. C8×D4C22×C83semidirect
1121. #432C22×C83semidirect
1122. #431C22×C83semidirect
1124. #419C22×C83semidirect
1125. #417C22×C83semidirect
1126. #417C22×C83semidirect
1128. #416C22×C83semidirect
1129. C2×#103C22×C83semidirect
1130. C2×#103C22×C83semidirect
1133. #408C22×C83semidirect
1134. #408C22×C83semidirect

Maximal subgroups

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

subgroupindex
C83×#35512
C83×#34972
C83×#33272
C83×#33262
C83×#33202
C83×#33172
C83×#33122
C83×#33092
C83×#33012
C83×#33002
C83×#32852
C83×#32822
C83×#32772
C83×#32752
C83×#32712
C83×#32702
C83×#32682
C83×#32662
C83×#32192
C83×#32122
C83×#32042
C83×#32032
C83×#32012
C83×#31982
C83×#31172
C83×#31082
C83×#30132
C83×#30112
C83×#30102
C83×#29812
#6168183