Finite Group Databasebeta

← C83×#61691 #35289515

Subgroups — C83×#61691 #35289515

Order 21248.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#3547C211yesmaximal, characteristic, complemented
2C83×#3500C211yesmaximal, characteristic, complemented
3C83×#3327C211yesmaximal, characteristic, complemented
4C83×#3323C211yesmaximal, characteristic, complemented
5C83×#3321C211yesmaximal, characteristic, complemented
6C83×#3319C211yesmaximal, characteristic, complemented
7C83×#3316C211yesmaximal, characteristic, complemented
8C83×#3314C211yesmaximal, characteristic, complemented
9C83×#3300C211yesmaximal, characteristic, complemented
10C83×#3296C211yesmaximal, characteristic, complemented
11C83×#3285C211yesmaximal, characteristic, complemented
12C83×#3282C211yesmaximal, characteristic, complemented
13C83×#3277C211yesmaximal, characteristic, complemented
14C83×#3275C211yesmaximal, characteristic, complemented
15C83×#3270C211yesmaximal, characteristic, complemented
16C83×#3269C211yesmaximal, characteristic, complemented
17C83×#3267C211yesmaximal, characteristic, complemented
18C83×#3266C211yesmaximal, characteristic, complemented
19C83×#3215C211yesmaximal, characteristic, complemented
20C83×#3211C211yesmaximal, characteristic, complemented
21C83×#3202C211yesmaximal, characteristic, complemented
22C83×#3201C211yesmaximal, characteristic, complemented
23C83×#3200C211yesmaximal, characteristic, complemented
24C83×#3198C211yesmaximal, characteristic, complemented
25C83×#3111C211yesmaximal, characteristic, complemented
26C83×#3107C211yesmaximal, characteristic, complemented
27C83×#3013C211yesmaximal, characteristic, complemented
28C83×#3012C211yesmaximal, characteristic, complemented
29C83×#3011C211yesmaximal, characteristic, complemented
30C83×#3009C211yesmaximal, characteristic, complemented
31C83×#2981C211yesmaximal, characteristic, complemented
32C2×2−1+4×C83C2211yescharacteristic
33C2×H(5,𝔽2)×C83C2211yescharacteristic
34C2×#137×C83C2211yescharacteristic
35C2×#137×C83C2211yescharacteristic, complemented
36C2×#137×C83C2211yescharacteristic, complemented
37C2×AGL(1,ℤ/8)×C83C2211yescharacteristic
38C2×#135×C83C2211yescharacteristic
39C2×#135×C83C2211yescharacteristic, complemented
40C22×Q16×C83C2211yescharacteristic, complemented
41C22×SD16×C83C2211yescharacteristic
42#562×C83—21no—
43#562×C83—21no—
44#555×C83—21no—
45#555×C83C2211yescharacteristic, complemented
46#554×C83C2211yescharacteristic, complemented
47#553×C83—21no—
48#552×C83C2211yescharacteristic, complemented
49#552×C83C2211yescharacteristic, complemented
50D4×Q8×C83C2211yescharacteristic, complemented
51#548×C83C2211yescharacteristic
52#548×C83C2211yescharacteristic
53#548×C83C2211yescharacteristic
54#548×C83C2211yescharacteristic
55#548×C83C2211yescharacteristic, complemented
56#548×C83C2211yescharacteristic, complemented
57#547×C83C2211yescharacteristic, complemented
58#546×C83—21no—
59#546×C83—21no—
60#546×C83—21no—
61#546×C83—21no—
62#546×C83C2211yescharacteristic
63#546×C83C2211yescharacteristic
64#546×C83C2211yescharacteristic
65#546×C83C2211yescharacteristic
66#544×C83—21no—
67#542×C83—21no—
68#542×C83—21no—
69#540×C83—21no—
70#537×C83C2211yescharacteristic
71#537×C83C2211yescharacteristic, complemented
72#536×C83—21no—
73#536×C83C2211yescharacteristic
74#536×C83C2211yescharacteristic
75#536×C83C2211yescharacteristic, complemented
76#535×C83—21no—
77#535×C83C2211yescharacteristic
78#533×C83C2211yescharacteristic, complemented
79#532×C83—21no—
80#532×C83C2211yescharacteristic
81#529×C83C2211yescharacteristic, complemented
82C2×#124×C83—21no—
83C2×#124×C83C2211yescharacteristic
84C4×#41×C83C2211yescharacteristic
85#497×C83C2211yescharacteristic, complemented
86#497×C83C2211yescharacteristic, complemented
87#495×C83C2211yescharacteristic, complemented
88#495×C83C2211yescharacteristic, complemented
89#489×C83C2211yescharacteristic, complemented
90#489×C83C2211yescharacteristic, complemented
91#488×C83C2211yescharacteristic, complemented
92#488×C83C2211yescharacteristic, complemented
93#485×C83C2211yescharacteristic, complemented
94#485×C83C2211yescharacteristic, complemented
95#485×C83C2211yescharacteristic, complemented
96#485×C83C2211yescharacteristic, complemented
97#485×C83C2211yescharacteristic, complemented
98#484×C83C2211yescharacteristic, complemented
99#483×C83C2211yescharacteristic, complemented
100#482×C83C2211yescharacteristic, complemented
101#482×C83C2211yescharacteristic, complemented
102#482×C83C2211yescharacteristic, complemented
103#481×C83C2211yescharacteristic, complemented
104#480×C83C2211yescharacteristic, complemented
105#479×C83C2211yescharacteristic, complemented
106#478×C83C2211yescharacteristic, complemented
107#475×C83C2211yescharacteristic, complemented
108#474×C83C2211yescharacteristic, complemented
109#470×C83C2211yescharacteristic, complemented
110#470×C83C2211yescharacteristic, complemented
111#470×C83C2211yescharacteristic, complemented
112#469×C83C2211yescharacteristic, complemented
113#468×C83C2211yescharacteristic, complemented
114#468×C83C2211yescharacteristic, complemented
115#468×C83C2211yescharacteristic, complemented
116#468×C83C2211yescharacteristic, complemented
117#467×C83C2211yescharacteristic, complemented
118#467×C83C2211yescharacteristic, complemented
119#467×C83C2211yescharacteristic, complemented
120#466×C83C2211yescharacteristic, complemented
121#465×C83C2211yescharacteristic, complemented
122#465×C83C2211yescharacteristic, complemented
123#465×C83C2211yescharacteristic, complemented
124#465×C83C2211yescharacteristic, complemented
125#464×C83C2211yescharacteristic, complemented
126#464×C83C2211yescharacteristic, complemented
127#464×C83C2211yescharacteristic, complemented
128#464×C83C2211yescharacteristic, complemented
129#464×C83C2211yescharacteristic, complemented
130#464×C83C2211yescharacteristic, complemented
131#464×C83C2211yescharacteristic, complemented
132#463×C83C2211yescharacteristic, complemented
133#463×C83C2211yescharacteristic, complemented
134#463×C83C2211yescharacteristic, complemented
135#462×C83C2211yescharacteristic, complemented
136#461×C83C2211yescharacteristic, complemented
137#452×C83C2211yescharacteristic
138#452×C83C2211yescharacteristic
139#452×C83C2211yescharacteristic
140#452×C83C2211yescharacteristic
141#452×C83C2211yescharacteristic
142#452×C83C2211yescharacteristic
143#452×C83C2211yescharacteristic, complemented
144#452×C83C2211yescharacteristic, complemented
145#452×C83C2211yescharacteristic, complemented
146#452×C83C2211yescharacteristic, complemented
147#452×C83C2211yescharacteristic, complemented
148#451×C83C2211yescharacteristic, complemented
149#451×C83C2211yescharacteristic, complemented
150#451×C83C2211yescharacteristic, complemented
151#451×C83C2211yescharacteristic, complemented
152#451×C83C2211yescharacteristic, complemented
153#451×C83C2211yescharacteristic, complemented
154#451×C83C2211yescharacteristic, complemented
155#451×C83C2211yescharacteristic, complemented
156#450×C83C2211yescharacteristic
157#450×C83C2211yescharacteristic
158#450×C83C2211yescharacteristic
159#450×C83C2211yescharacteristic
160#450×C83C2211yescharacteristic
161#450×C83C2211yescharacteristic
162#449×C83C2211yescharacteristic
163#449×C83C2211yescharacteristic
164#449×C83C2211yescharacteristic, complemented
165#449×C83C2211yescharacteristic, complemented
166#449×C83C2211yescharacteristic, complemented
167#448×C83C2211yescharacteristic, complemented
168#448×C83C2211yescharacteristic, complemented
169#448×C83C2211yescharacteristic, complemented
170#448×C83C2211yescharacteristic, complemented
171#447×C83C2211yescharacteristic
172#447×C83C2211yescharacteristic
173#442×C83C2211yescharacteristic, complemented
174#441×C83C2211yescharacteristic, complemented
175#440×C83C2211yescharacteristic, complemented
176#440×C83C2211yescharacteristic, complemented
177C4×Q16×C83C2211yescharacteristic, complemented
178C4×Q16×C83C2211yescharacteristic, complemented
179C4×SD16×C83C2211yescharacteristic, complemented
180C4×SD16×C83C2211yescharacteristic, complemented
181#436×C83C2211yescharacteristic, complemented
182#436×C83C2211yescharacteristic, complemented
183#435×C83C2211yescharacteristic, complemented
184#435×C83C2211yescharacteristic, complemented
185#435×C83C2211yescharacteristic, complemented
186#435×C83C2211yescharacteristic, complemented
187C8×D4×C83C2211yescharacteristic, complemented
188C8×D4×C83C2211yescharacteristic, complemented
189#432×C83C2211yescharacteristic, complemented
190#431×C83C2211yescharacteristic, complemented
191#419×C83C2211yescharacteristic, complemented
192#418×C83C2211yescharacteristic
193#417×C83C2211yescharacteristic
194#417×C83C2211yescharacteristic, complemented
195#416×C83C2211yescharacteristic
196#416×C83C2211yescharacteristic, complemented
197C2×#103×C83C2211yescharacteristic, complemented
198C2×#102×C83C2211yescharacteristic
199#408×C83C2211yescharacteristic
200#408×C83C2211yescharacteristic
201#408×C83C2211yescharacteristic, complemented
202#408×C83C2211yescharacteristic, complemented
2032−1+4×C83—42no—
2042−1+4×C83—42no—
205H(5,𝔽2)×C83—42no—
206H(5,𝔽2)×C83—42no—
207C2×#41×C83—21no—
208C2×#41×C83—21no—
209C2×#41×C83—21no—
210C2×#41×C83—21no—
211C2×#41×C83C2311yescharacteristic
212C2×#41×C83C2311yescharacteristic
213C2×#41×C83C2311yescharacteristic
214C2×#41×C83C2311yescharacteristic
215C2×#41×C83C2311yescharacteristic
216C2×#41×C83C2311yescharacteristic
217C2×#41×C83C2311yescharacteristic
218C2×#41×C83C2311yescharacteristic
219C2×#41×C83C2311yescharacteristic
220C22×Q8×C83—21no—
221C22×Q8×C83C2311yescharacteristic
222C22×Q8×C83C2311yescharacteristic
223C22×Q8×C83C2311yescharacteristic
224C22×Q8×C83C2311yescharacteristic
225C22×Q8×C83C2311yescharacteristic
226C22×D4×C83—21no—
227C22×D4×C83—21no—
228C22×D4×C83—21no—
229C22×D4×C83C2311yescharacteristic
230C22×D4×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×Q16×C83C2311yescharacteristic
248C2×SD16×C83—42no—
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×SD16×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×C83—21no—
276C4⋊Q8×C83D411yescharacteristic
277C4⋊Q8×C83C2311yescharacteristic
278C4⋊Q8×C83C2311yescharacteristic
279#127×C83—21no—
280#127×C83D411yescharacteristic
281#126×C83—21no—
282#126×C83—21no—
283#126×C83—21no—
284#125×C83—21no—
285#125×C83—21no—
286#125×C83—21no—
287#125×C83—21no—
288#125×C83C2311yescharacteristic
289#124×C83—21no—
290#124×C83—21no—
291#124×C83—21no—
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×C83—21no—
301#124×C83—21no—
302#124×C83—21no—
303#124×C83D411yescharacteristic
304#124×C83D411yescharacteristic
305#124×C83C2311yescharacteristic
306#124×C83C2311yescharacteristic
307#124×C83C2311yescharacteristic
308#124×C83C2311yescharacteristic
309#124×C83C2311yescharacteristic
310#123×C83—21no—
311#123×C83—21no—
312#123×C83—21no—
313#123×C83—21no—
314#123×C83—21no—
315#123×C83—21no—
316#123×C83—21no—
317#123×C83—21no—
318#123×C83—21no—
319#123×C83—21no—
320#123×C83—21no—
321#123×C83—21no—
322#123×C83—21no—
323#123×C83—21no—
324#123×C83—21no—
325C22⋊Q8×C83—21no—
326C22⋊Q8×C83—21no—
327C22⋊Q8×C83—21no—
328C22⋊Q8×C83—21no—
329C22⋊Q8×C83—21no—
330C22⋊Q8×C83—21no—
331C22⋊Q8×C83—21no—
332C22⋊Q8×C83—21no—
333C22⋊Q8×C83—21no—
334C22⋊Q8×C83—21no—
335C22⋊Q8×C83—21no—
336C22⋊Q8×C83—21no—
337C22⋊Q8×C83—21no—
338C22⋊Q8×C83C2311yescharacteristic
339C22⋊Q8×C83C2311yescharacteristic
340C22⋊Q8×C83C2311yescharacteristic
341C22⋊Q8×C83C2311yescharacteristic
342C22⋊Q8×C83C2311yescharacteristic
343C22⋊Q8×C83C2311yescharacteristic
344C22⋊Q8×C83C2311yescharacteristic
345C22⋊Q8×C83C2311yescharacteristic
346C22⋊Q8×C83C2311yescharacteristic
347C22⋊Q8×C83C2311yescharacteristic
348C22⋊Q8×C83C2311yescharacteristic
349C22⋊Q8×C83C2311yescharacteristic
350C22⋊Q8×C83C2311yescharacteristic
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×C83—21no—
369#121×C83D411yescharacteristic
370#121×C83D411yescharacteristic
371#121×C83D411yescharacteristic
372#121×C83D411yescharacteristic
373#121×C83C2311yescharacteristic
374#121×C83C2311yescharacteristic
375#121×C83C2311yescharacteristic
376#121×C83C2311yescharacteristic
377#121×C83C2311yescharacteristic
378#121×C83C2311yescharacteristic
379#121×C83C2311yescharacteristic
380#120×C83—21no—
381#120×C83—21no—
382#120×C83—21no—
383#120×C83—21no—
384#120×C83—21no—
385#120×C83—21no—
386C4×Q8×C83—21no—
387C4×Q8×C83C2311yescharacteristic
388C4×Q8×C83C2311yescharacteristic
389C4×Q8×C83C2311yescharacteristic
390C4×Q8×C83C2311yescharacteristic
391C4×Q8×C83C2311yescharacteristic
392C4×D4×C83—21no—
393C4×D4×C83—21no—
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×C83C2311yescharacteristic
404C4×D4×C83C2311yescharacteristic
405C4×D4×C83C2311yescharacteristic
406C4×D4×C83C2311yescharacteristic
407C4×D4×C83C2311yescharacteristic
408C4×D4×C83C2311yescharacteristic
409C4×D4×C83C2311yescharacteristic
410#117×C83—21no—
411#117×C83—21no—
412#117×C83—21no—
413#117×C83—21no—
414#117×C83—21no—
415#117×C83—21no—
416#117×C83C2311yescharacteristic
417#117×C83C2311yescharacteristic
418#117×C83C2311yescharacteristic
419C2×C4⋊C4×C83—21no—
420C2×C4⋊C4×C83C2311yescharacteristic
421C2×C4⋊C4×C83C2311yescharacteristic
422C2×C22⋊C4×C83—21no—
423C2×C22⋊C4×C83—21no—
424C2×C22⋊C4×C83—21no—
425C2×C22⋊C4×C83—21no—
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#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
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—
491C24×C83—21no—
492C24×C83—21no—
493#41×C83—22no—
494#41×C83—22no—
495#41×C83—22no—
496#41×C83—22no—
497#41×C83—22no—
498#41×C83—22no—
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—41no—
510#41×C83—41no—
511#41×C83—41no—
512#41×C83—41no—
513#41×C83—44no—
514#41×C83—44no—
515C2×Q8×C83—21no—
516C2×Q8×C83—21no—
517C2×Q8×C83—21no—
518C2×Q8×C83—21no—
519C2×Q8×C83—21no—
520C2×Q8×C83—21no—
521C2×Q8×C83—22no—
522C2×Q8×C83—22no—
523C2×Q8×C83—41no—
524C2×Q8×C83—41no—
525C2×Q8×C83—41no—
526C2×Q8×C83—41no—
527C2×Q8×C83—44no—
528C2×Q8×C83—41no—
529C2×Q8×C83—41no—
530C2×Q8×C83—41no—
531C2×Q8×C83—41no—
532C2×Q8×C83C2×D411yescharacteristic
533C2×Q8×C83C2×D411yescharacteristic
534C2×Q8×C83C2411yescharacteristic
535C2×Q8×C83C2411yescharacteristic
536C2×Q8×C83C2411yescharacteristic
537C2×Q8×C83C2411yescharacteristic
538C2×Q8×C83C2411yescharacteristic
539C2×Q8×C83C2411yescharacteristic
540C2×D4×C83—21no—
541C2×D4×C83—22no—
542C2×D4×C83—22no—
543C2×D4×C83—21no—
544C2×D4×C83—21no—
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—41no—
560C2×D4×C83—41no—
561C2×D4×C83—41no—
562C2×D4×C83—41no—
563C2×D4×C83—44no—
564C2×D4×C83—44no—
565C2×D4×C83—44no—
566C2×D4×C83C2×D411yescharacteristic
567C2×D4×C83C2×D411yescharacteristic
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×C83C2411yescharacteristic
577C2×D4×C83C2411yescharacteristic
578C2×D4×C83C2411yescharacteristic
579C2×D4×C83C2411yescharacteristic
580C22×C4×C83—21no—
581C22×C4×C83—21no—
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×C83C2×D411yescharacteristic
598C22×C4×C83C2×D411yescharacteristic
599C22×C4×C83C2411yescharacteristic
600C22×C4×C83C2411yescharacteristic
601C22×C4×C83C2411yescharacteristic
602C22×C4×C83C2411yescharacteristic
603C22×C4×C83C2411yescharacteristic
604Q16×C83—22no—
605Q16×C83—22no—
606Q16×C83—22no—
607Q16×C83—41no—
608Q16×C83—41no—
609Q16×C83—41no—
610Q16×C83—41no—
611Q16×C83—41no—
612Q16×C83—41no—
613SD16×C83—22no—
614SD16×C83—22no—
615SD16×C83—22no—
616SD16×C83—22no—
617SD16×C83—41no—
618SD16×C83—41no—
619SD16×C83—41no—
620SD16×C83—41no—
621SD16×C83—41no—
622SD16×C83—41no—
623SD16×C83—41no—
624SD16×C83—41no—
625D8×C83—22no—
626D8×C83—41no—
627D8×C83—41no—
628M16×C83—41no—
629M16×C83—41no—
630M16×C83—41no—
631M16×C83—41no—
632C2×C8×C83—41no—
633C2×C8×C83—41no—
634C2×C8×C83—41no—
635C2×C8×C83—41no—
636C2×C8×C83C2411yescharacteristic
637C2×C8×C83C2411yescharacteristic
638C2×C8×C83C2411yescharacteristic
639C2×C8×C83C2411yescharacteristic
640C2×C8×C83C2411yescharacteristic
641C2×C8×C83C2411yescharacteristic
642C2×C8×C83C2411yescharacteristic
643C2×C8×C83C2411yescharacteristic
644C4⋊C4×C83—21no—
645C4⋊C4×C83—21no—
646C4⋊C4×C83—21no—
647C4⋊C4×C83—21no—
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×C83C2×D411yescharacteristic
670C4⋊C4×C83C2×D411yescharacteristic
671C4⋊C4×C83C2×D411yescharacteristic
672C4⋊C4×C83C2×D411yescharacteristic
673C4⋊C4×C83C2411yescharacteristic
674C4⋊C4×C83C2411yescharacteristic
675C4⋊C4×C83C2411yescharacteristic
676C4⋊C4×C83C2411yescharacteristic
677C4⋊C4×C83C2411yescharacteristic
678C4⋊C4×C83C2411yescharacteristic
679C22⋊C4×C83—21no—
680C22⋊C4×C83—21no—
681C22⋊C4×C83—21no—
682C22⋊C4×C83—21no—
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—42no—
740C23×C83—42no—
741C23×C83—42no—
742C23×C83—81no—
743C23×C83—81no—
744C23×C83—81no—
745C23×C83—81no—
746C23×C83—81no—
747C23×C83—81no—
748C23×C83C22×D411yescharacteristic
749C23×C83C22×D411yescharacteristic
750C23×C83C22×D411yescharacteristic
751C23×C83C22×D411yescharacteristic
752C23×C83C22×D411yescharacteristic
753Q8×C83—21no—
754Q8×C83—21no—
755Q8×C83—21no—
756Q8×C83—21no—
757Q8×C83—21no—
758Q8×C83—21no—
759Q8×C83—21no—
760Q8×C83—21no—
761Q8×C83—21no—
762Q8×C83—21no—
763Q8×C83—21no—
764Q8×C83—41no—
765Q8×C83—41no—
766Q8×C83—42no—
767Q8×C83—42no—
768Q8×C83—42no—
769Q8×C83—81no—
770Q8×C83—81no—
771Q8×C83—81no—
772Q8×C83H(5,𝔽2)12yes—
773D4×C83—24no—
774D4×C83—21no—
775D4×C83—21no—
776D4×C83—21no—
777D4×C83—21no—
778D4×C83—21no—
779D4×C83—21no—
780D4×C83—21no—
781D4×C83—41no—
782D4×C83—41no—
783D4×C83—41no—
784D4×C83—41no—
785D4×C83—41no—
786D4×C83—41no—
787D4×C83—41no—
788D4×C83—41no—
789D4×C83—41no—
790D4×C83—41no—
791D4×C83—42no—
792D4×C83—42no—
793D4×C83—42no—
794D4×C83—42no—
795D4×C83—42no—
796D4×C83—42no—
797D4×C83—42no—
798D4×C83—81no—
799D4×C83—81no—
800D4×C83—81no—
801D4×C83—81no—
802D4×C83—81no—
803D4×C83—81no—
804D4×C83—81no—
805D4×C83—81no—
806D4×C83—81no—
807D4×C83H(5,𝔽2)12yes—
808C2×C4×C83—24no—
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—21no—
830C2×C4×C83—21no—
831C2×C4×C83—41no—
832C2×C4×C83—41no—
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—22no—
880C22×C83—21no—
881C22×C83—21no—
882C22×C83—21no—
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×C83—162no—
896C22×C83—162no—
897C22×C83C23×D411yescharacteristic
898C4×C83—21no—
899C4×C83—21no—
900C4×C83—21no—
901C4×C83—21no—
902C4×C83—21no—
903C4×C83—22no—
904C4×C83—21no—
905C4×C83—21no—
906C4×C83—21no—
907C4×C83—21no—
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×C83—41no—
918C4×C83—41no—
919C4×C83C2×H(5,𝔽2)11yescharacteristic
920C4×C83C2×H(5,𝔽2)11yescharacteristic
921#61691C8311yesmaximal, characteristic, direct product factor, Sylow
922C2×C83—41no—
923C2×C83—41no—
924C2×C83—41no—
925C2×C83—41no—
926C2×C83—41no—
927C2×C83—42no—
928C2×C83—81no—
929C2×C83—81no—
930C2×C83—81no—
931C2×C83#348411yescharacteristic
932C2×C83#358411yescharacteristic
933C2×C83#358611yescharacteristic
934#3547C2×C8311yescharacteristic, complemented
935#3500C2×C8311yescharacteristic, complemented
936#3327C2×C8311yescharacteristic, complemented
937#3323C2×C8311yescharacteristic, complemented
938#3321C2×C8311yescharacteristic, complemented
939#3319C2×C8311yescharacteristic, complemented
940#3316C2×C8311yescharacteristic, complemented
941#3314C2×C8311yescharacteristic, complemented
942#3300C2×C8311yescharacteristic, complemented
943#3296C2×C8311yescharacteristic, complemented
944#3285C2×C8311yescharacteristic, complemented
945#3282C2×C8311yescharacteristic, complemented
946#3277C2×C8311yescharacteristic, complemented
947#3275C2×C8311yescharacteristic, complemented
948#3270C2×C8311yescharacteristic, complemented
949#3269C2×C8311yescharacteristic, complemented
950#3267C2×C8311yescharacteristic, complemented
951#3266C2×C8311yescharacteristic, complemented
952#3215C2×C8311yescharacteristic, complemented
953#3211C2×C8311yescharacteristic, complemented
954#3202C2×C8311yescharacteristic, complemented
955#3201C2×C8311yescharacteristic, complemented
956#3200C2×C8311yescharacteristic, complemented
957#3198C2×C8311yescharacteristic, complemented
958#3111C2×C8311yescharacteristic, complemented
959#3107C2×C8311yescharacteristic, complemented
960#3013C2×C8311yescharacteristic, complemented
961#3012C2×C8311yescharacteristic, complemented
962#3011C2×C8311yescharacteristic, complemented
963#3009C2×C8311yescharacteristic, complemented
964#2981C2×C8311yescharacteristic, complemented
965C83#6169111yescharacteristic, direct product factor, Sylow
966C2×2−1+4C22×C8311yescharacteristic
967C2×H(5,𝔽2)C22×C8311yescharacteristic
968C2×#137C22×C8311yescharacteristic
969C2×#137C22×C8311yescharacteristic, complemented
970C2×#137C22×C8311yescharacteristic, complemented
971C2×AGL(1,ℤ/8)C22×C8311yescharacteristic
972C2×#135C22×C8311yescharacteristic
973C2×#135C22×C8311yescharacteristic, complemented
974C22×Q16C22×C8311yescharacteristic, complemented
975C22×SD16C22×C8311yescharacteristic
976#562—21no—
977#562—21no—
978#555—21no—
979#555C22×C8311yescharacteristic, complemented
980#554C22×C8311yescharacteristic, complemented
981#553—21no—
982#552C22×C8311yescharacteristic, complemented
983#552C22×C8311yescharacteristic, complemented
984D4×Q8C22×C8311yescharacteristic, complemented
985#548C22×C8311yescharacteristic
986#548C22×C8311yescharacteristic
987#548C22×C8311yescharacteristic
988#548C22×C8311yescharacteristic
989#548C22×C8311yescharacteristic, complemented
990#548C22×C8311yescharacteristic, complemented
991#547C22×C8311yescharacteristic, complemented
992#546—21no—
993#546—21no—
994#546—21no—
995#546—21no—
996#546C22×C8311yescharacteristic
997#546C22×C8311yescharacteristic
998#546C22×C8311yescharacteristic
999#546C22×C8311yescharacteristic
1000#544—21no—
1001#542—21no—
1002#542—21no—
1003#540—21no—
1004#537C22×C8311yescharacteristic
1005#537C22×C8311yescharacteristic, complemented
1006#536—21no—
1007#536C22×C8311yescharacteristic
1008#536C22×C8311yescharacteristic
1009#536C22×C8311yescharacteristic, complemented
1010#535—21no—
1011#535C22×C8311yescharacteristic
1012#533C22×C8311yescharacteristic, complemented
1013#532—21no—
1014#532C22×C8311yescharacteristic
1015#529C22×C8311yescharacteristic, complemented
1016C2×#124—21no—
1017C2×#124C22×C8311yescharacteristic
1018C4×#41C22×C8311yescharacteristic
1019#497C22×C8311yescharacteristic, complemented
1020#497C22×C8311yescharacteristic, complemented
1021#495C22×C8311yescharacteristic, complemented
1022#495C22×C8311yescharacteristic, complemented
1023#489C22×C8311yescharacteristic, complemented
1024#489C22×C8311yescharacteristic, complemented
1025#488C22×C8311yescharacteristic, complemented
1026#488C22×C8311yescharacteristic, complemented
1027#485C22×C8311yescharacteristic, complemented
1028#485C22×C8311yescharacteristic, complemented
1029#485C22×C8311yescharacteristic, complemented
1030#485C22×C8311yescharacteristic, complemented
1031#485C22×C8311yescharacteristic, complemented
1032#484C22×C8311yescharacteristic, complemented
1033#483C22×C8311yescharacteristic, complemented
1034#482C22×C8311yescharacteristic, complemented
1035#482C22×C8311yescharacteristic, complemented
1036#482C22×C8311yescharacteristic, complemented
1037#481C22×C8311yescharacteristic, complemented
1038#480C22×C8311yescharacteristic, complemented
1039#479C22×C8311yescharacteristic, complemented
1040#478C22×C8311yescharacteristic, complemented
1041#475C22×C8311yescharacteristic, complemented
1042#474C22×C8311yescharacteristic, complemented
1043#470C22×C8311yescharacteristic, complemented
1044#470C22×C8311yescharacteristic, complemented
1045#470C22×C8311yescharacteristic, complemented
1046#469C22×C8311yescharacteristic, complemented
1047#468C22×C8311yescharacteristic, complemented
1048#468C22×C8311yescharacteristic, complemented
1049#468C22×C8311yescharacteristic, complemented
1050#468C22×C8311yescharacteristic, complemented
1051#467C22×C8311yescharacteristic, complemented
1052#467C22×C8311yescharacteristic, complemented
1053#467C22×C8311yescharacteristic, complemented
1054#466C22×C8311yescharacteristic, complemented
1055#465C22×C8311yescharacteristic, complemented
1056#465C22×C8311yescharacteristic, complemented
1057#465C22×C8311yescharacteristic, complemented
1058#465C22×C8311yescharacteristic, complemented
1059#464C22×C8311yescharacteristic, complemented
1060#464C22×C8311yescharacteristic, complemented
1061#464C22×C8311yescharacteristic, complemented
1062#464C22×C8311yescharacteristic, complemented
1063#464C22×C8311yescharacteristic, complemented
1064#464C22×C8311yescharacteristic, complemented
1065#464C22×C8311yescharacteristic, complemented
1066#463C22×C8311yescharacteristic, complemented
1067#463C22×C8311yescharacteristic, complemented
1068#463C22×C8311yescharacteristic, complemented
1069#462C22×C8311yescharacteristic, complemented
1070#461C22×C8311yescharacteristic, complemented
1071#452C22×C8311yescharacteristic
1072#452C22×C8311yescharacteristic
1073#452C22×C8311yescharacteristic
1074#452C22×C8311yescharacteristic
1075#452C22×C8311yescharacteristic
1076#452C22×C8311yescharacteristic
1077#452C22×C8311yescharacteristic, complemented
1078#452C22×C8311yescharacteristic, complemented
1079#452C22×C8311yescharacteristic, complemented
1080#452C22×C8311yescharacteristic, complemented
1081#452C22×C8311yescharacteristic, complemented
1082#451C22×C8311yescharacteristic, complemented
1083#451C22×C8311yescharacteristic, complemented
1084#451C22×C8311yescharacteristic, complemented
1085#451C22×C8311yescharacteristic, complemented
1086#451C22×C8311yescharacteristic, complemented
1087#451C22×C8311yescharacteristic, complemented
1088#451C22×C8311yescharacteristic, complemented
1089#451C22×C8311yescharacteristic, complemented
1090#450C22×C8311yescharacteristic
1091#450C22×C8311yescharacteristic
1092#450C22×C8311yescharacteristic
1093#450C22×C8311yescharacteristic
1094#450C22×C8311yescharacteristic
1095#450C22×C8311yescharacteristic
1096#449C22×C8311yescharacteristic
1097#449C22×C8311yescharacteristic
1098#449C22×C8311yescharacteristic, complemented
1099#449C22×C8311yescharacteristic, complemented
1100#449C22×C8311yescharacteristic, complemented
1101#448C22×C8311yescharacteristic, complemented
1102#448C22×C8311yescharacteristic, complemented
1103#448C22×C8311yescharacteristic, complemented
1104#448C22×C8311yescharacteristic, complemented
1105#447C22×C8311yescharacteristic
1106#447C22×C8311yescharacteristic
1107#442C22×C8311yescharacteristic, complemented
1108#441C22×C8311yescharacteristic, complemented
1109#440C22×C8311yescharacteristic, complemented
1110#440C22×C8311yescharacteristic, complemented
1111C4×Q16C22×C8311yescharacteristic, complemented
1112C4×Q16C22×C8311yescharacteristic, complemented
1113C4×SD16C22×C8311yescharacteristic, complemented
1114C4×SD16C22×C8311yescharacteristic, complemented
1115#436C22×C8311yescharacteristic, complemented
1116#436C22×C8311yescharacteristic, complemented
1117#435C22×C8311yescharacteristic, complemented
1118#435C22×C8311yescharacteristic, complemented
1119#435C22×C8311yescharacteristic, complemented
1120#435C22×C8311yescharacteristic, complemented
1121C8×D4C22×C8311yescharacteristic, complemented
1122C8×D4C22×C8311yescharacteristic, complemented
1123#432C22×C8311yescharacteristic, complemented
1124#431C22×C8311yescharacteristic, complemented
1125#419C22×C8311yescharacteristic, complemented
1126#418C22×C8311yescharacteristic
1127#417C22×C8311yescharacteristic
1128#417C22×C8311yescharacteristic, complemented
1129#416C22×C8311yescharacteristic
1130#416C22×C8311yescharacteristic, complemented
1131C2×#103C22×C8311yescharacteristic, complemented
1132C2×#102C22×C8311yescharacteristic
1133#408C22×C8311yescharacteristic
1134#408C22×C8311yescharacteristic
1135#408C22×C8311yescharacteristic, complemented
1136#408C22×C8311yescharacteristic, complemented
11372−1+4—42no—
11382−1+4—42no—
1139H(5,𝔽2)—42no—
1140H(5,𝔽2)—42no—
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
1154C22×Q8—21no—
1155C22×Q8C23×C8311yescharacteristic
1156C22×Q8C23×C8311yescharacteristic
1157C22×Q8C23×C8311yescharacteristic
1158C22×Q8C23×C8311yescharacteristic
1159C22×Q8C23×C8311yescharacteristic
1160C22×D4—21no—
1161C22×D4—21no—
1162C22×D4—21no—
1163C22×D4C23×C8311yescharacteristic
1164C22×D4C23×C8311yescharacteristic
1165C22×D4C23×C8311yescharacteristic
1166#137—42no—
1167#137—42no—
1168#137—42no—
1169AGL(1,ℤ/8)—42no—
1170#135—42no—
1171#135—42no—
1172C2×Q16—42no—
1173C2×Q16C23×C8311yescharacteristic
1174C2×Q16C23×C8311yescharacteristic
1175C2×Q16C23×C8311yescharacteristic
1176C2×Q16C23×C8311yescharacteristic
1177C2×Q16C23×C8311yescharacteristic
1178C2×Q16C23×C8311yescharacteristic
1179C2×Q16C23×C8311yescharacteristic
1180C2×Q16C23×C8311yescharacteristic
1181C2×Q16C23×C8311yescharacteristic
1182C2×SD16—42no—
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×SD16C23×C8311yescharacteristic
1193C2×SD16C23×C8311yescharacteristic
1194C2×SD16C23×C8311yescharacteristic
1195C2×D8C23×C8311yescharacteristic
1196C2×D8C23×C8311yescharacteristic
1197C2×D8C23×C8311yescharacteristic
1198C2×M16C23×C8311yescharacteristic
1199C2×M16C23×C8311yescharacteristic
1200C2×M16C23×C8311yescharacteristic
1201C2×M16C23×C8311yescharacteristic
1202C22×C8C23×C8311yescharacteristic
1203C22×C8C23×C8311yescharacteristic
1204C22×C8C23×C8311yescharacteristic
1205C22×C8C23×C8311yescharacteristic
1206C4⋊Q8—21no—
1207C4⋊Q8—21no—
1208C4⋊Q8—21no—
1209C4⋊Q8—21no—
1210C4⋊Q8D4×C8311yescharacteristic
1211C4⋊Q8C23×C8311yescharacteristic
1212C4⋊Q8C23×C8311yescharacteristic
1213#127—21no—
1214#127D4×C8311yescharacteristic
1215#126—21no—
1216#126—21no—
1217#126—21no—
1218#125—21no—
1219#125—21no—
1220#125—21no—
1221#125—21no—
1222#125C23×C8311yescharacteristic
1223#124—21no—
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#124—21no—
1233#124—21no—
1234#124—21no—
1235#124—21no—
1236#124—21no—
1237#124D4×C8311yescharacteristic
1238#124D4×C8311yescharacteristic
1239#124C23×C8311yescharacteristic
1240#124C23×C8311yescharacteristic
1241#124C23×C8311yescharacteristic
1242#124C23×C8311yescharacteristic
1243#124C23×C8311yescharacteristic
1244#123—21no—
1245#123—21no—
1246#123—21no—
1247#123—21no—
1248#123—21no—
1249#123—21no—
1250#123—21no—
1251#123—21no—
1252#123—21no—
1253#123—21no—
1254#123—21no—
1255#123—21no—
1256#123—21no—
1257#123—21no—
1258#123—21no—
1259C22⋊Q8—21no—
1260C22⋊Q8—21no—
1261C22⋊Q8—21no—
1262C22⋊Q8—21no—
1263C22⋊Q8—21no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8—21no—
1267C22⋊Q8—21no—
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—21no—
1271C22⋊Q8—21no—
1272C22⋊Q8C23×C8311yescharacteristic
1273C22⋊Q8C23×C8311yescharacteristic
1274C22⋊Q8C23×C8311yescharacteristic
1275C22⋊Q8C23×C8311yescharacteristic
1276C22⋊Q8C23×C8311yescharacteristic
1277C22⋊Q8C23×C8311yescharacteristic
1278C22⋊Q8C23×C8311yescharacteristic
1279C22⋊Q8C23×C8311yescharacteristic
1280C22⋊Q8C23×C8311yescharacteristic
1281C22⋊Q8C23×C8311yescharacteristic
1282C22⋊Q8C23×C8311yescharacteristic
1283C22⋊Q8C23×C8311yescharacteristic
1284C22⋊Q8C23×C8311yescharacteristic
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#121—21no—
1301#121—21no—
1302#121—21no—
1303#121D4×C8311yescharacteristic
1304#121D4×C8311yescharacteristic
1305#121D4×C8311yescharacteristic
1306#121D4×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—
1318#120—21no—
1319#120—21no—
1320C4×Q8—21no—
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×D4C23×C8311yescharacteristic
1338C4×D4C23×C8311yescharacteristic
1339C4×D4C23×C8311yescharacteristic
1340C4×D4C23×C8311yescharacteristic
1341C4×D4C23×C8311yescharacteristic
1342C4×D4C23×C8311yescharacteristic
1343C4×D4C23×C8311yescharacteristic
1344#117—21no—
1345#117—21no—
1346#117—21no—
1347#117—21no—
1348#117—21no—
1349#117—21no—
1350#117C23×C8311yescharacteristic
1351#117C23×C8311yescharacteristic
1352#117C23×C8311yescharacteristic
1353C2×C4⋊C4—21no—
1354C2×C4⋊C4C23×C8311yescharacteristic
1355C2×C4⋊C4C23×C8311yescharacteristic
1356C2×C22⋊C4—21no—
1357C2×C22⋊C4—21no—
1358C2×C22⋊C4—21no—
1359C2×C22⋊C4—21no—
1360C2×C22⋊C4—21no—
1361C2×C22⋊C4—21no—
1362C2×C42—21no—
1363C2×C42C23×C8311yescharacteristic
1364#107C23×C8311yescharacteristic
1365#107C23×C8311yescharacteristic
1366#107C23×C8311yescharacteristic
1367#107C23×C8311yescharacteristic
1368#106C23×C8311yescharacteristic
1369#106C23×C8311yescharacteristic
1370#106C23×C8311yescharacteristic
1371#106C23×C8311yescharacteristic
1372C4⋊C8C23×C8311yescharacteristic
1373C4⋊C8C23×C8311yescharacteristic
1374C4⋊C8C23×C8311yescharacteristic
1375C4⋊C8C23×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
1406#102C23×C8311yescharacteristic
1407#102C23×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
1418C22⋊C8C23×C8311yescharacteristic
1419C22⋊C8C23×C8311yescharacteristic
1420#97C23×C8311yescharacteristic
1421#97C23×C8311yescharacteristic
1422C4×C8C23×C8311yescharacteristic
1423C4×C8C23×C8311yescharacteristic
1424C24—21no—
1425C24—21no—
1426C24—21no—
1427#41—22no—
1428#41—22no—
1429#41—22no—
1430#41—22no—
1431#41—22no—
1432#41—22no—
1433#41—41no—
1434#41—41no—
1435#41—41no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—41no—
1440#41—41no—
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—21no—
1450C2×Q8—21no—
1451C2×Q8—21no—
1452C2×Q8—21no—
1453C2×Q8—21no—
1454C2×Q8—21no—
1455C2×Q8—22no—
1456C2×Q8—22no—
1457C2×Q8—41no—
1458C2×Q8—41no—
1459C2×Q8—41no—
1460C2×Q8—41no—
1461C2×Q8—44no—
1462C2×Q8—41no—
1463C2×Q8—41no—
1464C2×Q8—41no—
1465C2×Q8—41no—
1466C2×Q8C2×D4×C8311yescharacteristic
1467C2×Q8C2×D4×C8311yescharacteristic
1468C2×Q8C24×C8311yescharacteristic
1469C2×Q8C24×C8311yescharacteristic
1470C2×Q8C24×C8311yescharacteristic
1471C2×Q8C24×C8311yescharacteristic
1472C2×Q8C24×C8311yescharacteristic
1473C2×Q8C24×C8311yescharacteristic
1474C2×D4—21no—
1475C2×D4—22no—
1476C2×D4—22no—
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—41no—
1494C2×D4—41no—
1495C2×D4—41no—
1496C2×D4—41no—
1497C2×D4—44no—
1498C2×D4—44no—
1499C2×D4—44no—
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×C4C2×D4×C8311yescharacteristic
1532C22×C4C2×D4×C8311yescharacteristic
1533C22×C4C24×C8311yescharacteristic
1534C22×C4C24×C8311yescharacteristic
1535C22×C4C24×C8311yescharacteristic
1536C22×C4C24×C8311yescharacteristic
1537C22×C4C24×C8311yescharacteristic
1538Q16—22no—
1539Q16—22no—
1540Q16—22no—
1541Q16—41no—
1542Q16—41no—
1543Q16—41no—
1544Q16—41no—
1545Q16—41no—
1546Q16—41no—
1547SD16—22no—
1548SD16—22no—
1549SD16—22no—
1550SD16—22no—
1551SD16—41no—
1552SD16—41no—
1553SD16—41no—
1554SD16—41no—
1555SD16—41no—
1556SD16—41no—
1557SD16—41no—
1558SD16—41no—
1559D8—22no—
1560D8—41no—
1561D8—41no—
1562M16—41no—
1563M16—41no—
1564M16—41no—
1565M16—41no—
1566C2×C8—41no—
1567C2×C8—41no—
1568C2×C8—41no—
1569C2×C8—41no—
1570C2×C8C24×C8311yescharacteristic
1571C2×C8C24×C8311yescharacteristic
1572C2×C8C24×C8311yescharacteristic
1573C2×C8C24×C8311yescharacteristic
1574C2×C8C24×C8311yescharacteristic
1575C2×C8C24×C8311yescharacteristic
1576C2×C8C24×C8311yescharacteristic
1577C2×C8C24×C8311yescharacteristic
1578C4⋊C4—21no—
1579C4⋊C4—21no—
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⋊C4C2×D4×C8311yescharacteristic
1604C4⋊C4C2×D4×C8311yescharacteristic
1605C4⋊C4C2×D4×C8311yescharacteristic
1606C4⋊C4C2×D4×C8311yescharacteristic
1607C4⋊C4C24×C8311yescharacteristic
1608C4⋊C4C24×C8311yescharacteristic
1609C4⋊C4C24×C8311yescharacteristic
1610C4⋊C4C24×C8311yescharacteristic
1611C4⋊C4C24×C8311yescharacteristic
1612C4⋊C4C24×C8311yescharacteristic
1613C22⋊C4—21no—
1614C22⋊C4—21no—
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⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4C2×D4×C8311yescharacteristic
1650C22⋊C4C2×D4×C8311yescharacteristic
1651C22⋊C4C2×D4×C8311yescharacteristic
1652C22⋊C4C2×D4×C8311yescharacteristic
1653C22⋊C4C2×D4×C8311yescharacteristic
1654C22⋊C4C2×D4×C8311yescharacteristic
1655C22⋊C4C2×D4×C8311yescharacteristic
1656C22⋊C4C2×D4×C8311yescharacteristic
1657C42—21no—
1658C42—21no—
1659C42—21no—
1660C42—21no—
1661C42—21no—
1662C42—21no—
1663C42—21no—
1664C42—21no—
1665C42C2×D4×C8311yescharacteristic
1666C42C2×D4×C8311yescharacteristic
1667C42C24×C8311yescharacteristic
1668C42C24×C8311yescharacteristic
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—42no—
1674C23—42no—
1675C23—42no—
1676C23—81no—
1677C23—81no—
1678C23—81no—
1679C23—81no—
1680C23—81no—
1681C23—81no—
1682C23C22×D4×C8311yescharacteristic
1683C23C22×D4×C8311yescharacteristic
1684C23C22×D4×C8311yescharacteristic
1685C23C22×D4×C8311yescharacteristic
1686C23C22×D4×C8311yescharacteristic
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—21no—
1691Q8—21no—
1692Q8—21no—
1693Q8—21no—
1694Q8—21no—
1695Q8—21no—
1696Q8—21no—
1697Q8—21no—
1698Q8—41no—
1699Q8—41no—
1700Q8—42no—
1701Q8—42no—
1702Q8—42no—
1703Q8—81no—
1704Q8—81no—
1705Q8—81no—
1706Q8H(5,𝔽2)×C8312yes—
1707D4—24no—
1708D4—21no—
1709D4—21no—
1710D4—21no—
1711D4—21no—
1712D4—21no—
1713D4—21no—
1714D4—21no—
1715D4—41no—
1716D4—41no—
1717D4—41no—
1718D4—41no—
1719D4—41no—
1720D4—41no—
1721D4—41no—
1722D4—41no—
1723D4—41no—
1724D4—41no—
1725D4—42no—
1726D4—42no—
1727D4—42no—
1728D4—42no—
1729D4—42no—
1730D4—42no—
1731D4—42no—
1732D4—81no—
1733D4—81no—
1734D4—81no—
1735D4—81no—
1736D4—81no—
1737D4—81no—
1738D4—81no—
1739D4—81no—
1740D4—81no—
1741D4H(5,𝔽2)×C8312yes—
1742C2×C4—24no—
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—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—41no—
1766C2×C4—41no—
1767C2×C4—42no—
1768C2×C4—42no—
1769C2×C4—42no—
1770C2×C4—42no—
1771C2×C4—42no—
1772C2×C4—42no—
1773C2×C4—42no—
1774C2×C4—42no—
1775C2×C4—81no—
1776C2×C4—81no—
1777C2×C4—81no—
1778C2×C4—81no—
1779C2×C4—81no—
1780C2×C4—81no—
1781C2×C4—81no—
1782C2×C4—81no—
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×C4C22×D4×C8311yescharacteristic
1791C2×C4C22×D4×C8311yescharacteristic
1792C2×C4C25×C8311yescharacteristic
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—21no—
1798C8—21no—
1799C8—21no—
1800C8—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—22no—
1814C22—21no—
1815C22—21no—
1816C22—21no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—162no—
1829C22—162no—
1830C22—162no—
1831C22C23×D4×C8311yescharacteristic
1832C4—21no—
1833C4—21no—
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—22no—
1838C4—21no—
1839C4—21no—
1840C4—21no—
1841C4—21no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—41no—
1849C4—41no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4C2×H(5,𝔽2)×C8311yescharacteristic
1854C4C2×H(5,𝔽2)×C8311yescharacteristic
1855C2—41no—
1856C2—41no—
1857C2—41no—
1858C2—41no—
1859C2—41no—
1860C2—42no—
1861C2—81no—
1862C2—81no—
1863C2—81no—
1864C2C83×#348411yescharacteristic
1865C2C83×#358411yescharacteristic
1866C2C83×#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×#3547C2semidirect
2. C83×#3500C2semidirect
3. C83×#3327C2semidirect
4. C83×#3323C2semidirect
5. C83×#3321C2semidirect
6. C83×#3319C2semidirect
7. C83×#3316C2semidirect
8. C83×#3314C2semidirect
9. C83×#3300C2semidirect
10. C83×#3296C2semidirect
11. C83×#3285C2semidirect
12. C83×#3282C2semidirect
13. C83×#3277C2semidirect
14. C83×#3275C2semidirect
15. C83×#3270C2semidirect
16. C83×#3269C2semidirect
17. C83×#3267C2semidirect
18. C83×#3266C2semidirect
19. C83×#3215C2semidirect
20. C83×#3211C2semidirect
21. C83×#3202C2semidirect
22. C83×#3201C2semidirect
23. C83×#3200C2semidirect
24. C83×#3198C2semidirect
25. C83×#3111C2semidirect
26. C83×#3107C2semidirect
27. C83×#3013C2semidirect
28. C83×#3012C2semidirect
29. C83×#3011C2semidirect
30. C83×#3009C2semidirect
31. C83×#2981C2semidirect
35. C2×#137×C83C22semidirect
36. C2×#137×C83C22semidirect
39. C2×#135×C83C22semidirect
40. C22×Q16×C83C22semidirect
45. #555×C83C22semidirect
46. #554×C83C22semidirect
48. #552×C83C22semidirect
49. #552×C83C22semidirect
50. D4×Q8×C83C22semidirect
55. #548×C83C22semidirect
56. #548×C83C22semidirect
57. #547×C83C22semidirect
71. #537×C83C22semidirect
75. #536×C83C22semidirect
78. #533×C83C22semidirect
81. #529×C83C22semidirect
85. #497×C83C22semidirect
86. #497×C83C22semidirect
87. #495×C83C22semidirect
88. #495×C83C22semidirect
89. #489×C83C22semidirect
90. #489×C83C22semidirect
91. #488×C83C22semidirect
92. #488×C83C22semidirect
93. #485×C83C22semidirect
94. #485×C83C22semidirect
95. #485×C83C22semidirect
96. #485×C83C22semidirect
97. #485×C83C22semidirect
98. #484×C83C22semidirect
99. #483×C83C22semidirect
100. #482×C83C22semidirect
101. #482×C83C22semidirect
102. #482×C83C22semidirect
103. #481×C83C22semidirect
104. #480×C83C22semidirect
105. #479×C83C22semidirect
106. #478×C83C22semidirect
107. #475×C83C22semidirect
108. #474×C83C22semidirect
109. #470×C83C22semidirect
110. #470×C83C22semidirect
111. #470×C83C22semidirect
112. #469×C83C22semidirect
113. #468×C83C22semidirect
114. #468×C83C22semidirect
115. #468×C83C22semidirect
116. #468×C83C22semidirect
117. #467×C83C22semidirect
118. #467×C83C22semidirect
119. #467×C83C22semidirect
120. #466×C83C22semidirect
121. #465×C83C22semidirect
122. #465×C83C22semidirect
123. #465×C83C22semidirect
124. #465×C83C22semidirect
125. #464×C83C22semidirect
126. #464×C83C22semidirect
127. #464×C83C22semidirect
128. #464×C83C22semidirect
129. #464×C83C22semidirect
130. #464×C83C22semidirect
131. #464×C83C22semidirect
132. #463×C83C22semidirect
133. #463×C83C22semidirect
134. #463×C83C22semidirect
135. #462×C83C22semidirect
136. #461×C83C22semidirect
143. #452×C83C22semidirect
144. #452×C83C22semidirect
145. #452×C83C22semidirect
146. #452×C83C22semidirect
147. #452×C83C22semidirect
148. #451×C83C22semidirect
149. #451×C83C22semidirect
150. #451×C83C22semidirect
151. #451×C83C22semidirect
152. #451×C83C22semidirect
153. #451×C83C22semidirect
154. #451×C83C22semidirect
155. #451×C83C22semidirect
164. #449×C83C22semidirect
165. #449×C83C22semidirect
166. #449×C83C22semidirect
167. #448×C83C22semidirect
168. #448×C83C22semidirect
169. #448×C83C22semidirect
170. #448×C83C22semidirect
173. #442×C83C22semidirect
174. #441×C83C22semidirect
175. #440×C83C22semidirect
176. #440×C83C22semidirect
177. C4×Q16×C83C22semidirect
178. C4×Q16×C83C22semidirect
179. C4×SD16×C83C22semidirect
180. C4×SD16×C83C22semidirect
181. #436×C83C22semidirect
182. #436×C83C22semidirect
183. #435×C83C22semidirect
184. #435×C83C22semidirect
185. #435×C83C22semidirect
186. #435×C83C22semidirect
187. C8×D4×C83C22semidirect
188. C8×D4×C83C22semidirect
189. #432×C83C22semidirect
190. #431×C83C22semidirect
191. #419×C83C22semidirect
194. #417×C83C22semidirect
196. #416×C83C22semidirect
197. C2×#103×C83C22semidirect
201. #408×C83C22semidirect
202. #408×C83C22semidirect
921. #61691C83direct (N × H)
934. #3547C2×C83semidirect
935. #3500C2×C83semidirect
936. #3327C2×C83semidirect
937. #3323C2×C83semidirect
938. #3321C2×C83semidirect
939. #3319C2×C83semidirect
940. #3316C2×C83semidirect
941. #3314C2×C83semidirect
942. #3300C2×C83semidirect
943. #3296C2×C83semidirect
944. #3285C2×C83semidirect
945. #3282C2×C83semidirect
946. #3277C2×C83semidirect
947. #3275C2×C83semidirect
948. #3270C2×C83semidirect
949. #3269C2×C83semidirect
950. #3267C2×C83semidirect
951. #3266C2×C83semidirect
952. #3215C2×C83semidirect
953. #3211C2×C83semidirect
954. #3202C2×C83semidirect
955. #3201C2×C83semidirect
956. #3200C2×C83semidirect
957. #3198C2×C83semidirect
958. #3111C2×C83semidirect
959. #3107C2×C83semidirect
960. #3013C2×C83semidirect
961. #3012C2×C83semidirect
962. #3011C2×C83semidirect
963. #3009C2×C83semidirect
964. #2981C2×C83semidirect
965. C83#61691direct (N × H)
969. C2×#137C22×C83semidirect
970. C2×#137C22×C83semidirect
973. C2×#135C22×C83semidirect
974. C22×Q16C22×C83semidirect
979. #555C22×C83semidirect
980. #554C22×C83semidirect
982. #552C22×C83semidirect
983. #552C22×C83semidirect
984. D4×Q8C22×C83semidirect
989. #548C22×C83semidirect
990. #548C22×C83semidirect
991. #547C22×C83semidirect
1005. #537C22×C83semidirect
1009. #536C22×C83semidirect
1012. #533C22×C83semidirect
1015. #529C22×C83semidirect
1019. #497C22×C83semidirect
1020. #497C22×C83semidirect
1021. #495C22×C83semidirect
1022. #495C22×C83semidirect
1023. #489C22×C83semidirect
1024. #489C22×C83semidirect
1025. #488C22×C83semidirect
1026. #488C22×C83semidirect
1027. #485C22×C83semidirect
1028. #485C22×C83semidirect
1029. #485C22×C83semidirect
1030. #485C22×C83semidirect
1031. #485C22×C83semidirect
1032. #484C22×C83semidirect
1033. #483C22×C83semidirect
1034. #482C22×C83semidirect
1035. #482C22×C83semidirect
1036. #482C22×C83semidirect
1037. #481C22×C83semidirect
1038. #480C22×C83semidirect
1039. #479C22×C83semidirect
1040. #478C22×C83semidirect
1041. #475C22×C83semidirect
1042. #474C22×C83semidirect
1043. #470C22×C83semidirect
1044. #470C22×C83semidirect
1045. #470C22×C83semidirect
1046. #469C22×C83semidirect
1047. #468C22×C83semidirect
1048. #468C22×C83semidirect
1049. #468C22×C83semidirect
1050. #468C22×C83semidirect
1051. #467C22×C83semidirect
1052. #467C22×C83semidirect
1053. #467C22×C83semidirect
1054. #466C22×C83semidirect
1055. #465C22×C83semidirect
1056. #465C22×C83semidirect
1057. #465C22×C83semidirect
1058. #465C22×C83semidirect
1059. #464C22×C83semidirect
1060. #464C22×C83semidirect
1061. #464C22×C83semidirect
1062. #464C22×C83semidirect
1063. #464C22×C83semidirect
1064. #464C22×C83semidirect
1065. #464C22×C83semidirect
1066. #463C22×C83semidirect
1067. #463C22×C83semidirect
1068. #463C22×C83semidirect
1069. #462C22×C83semidirect
1070. #461C22×C83semidirect
1077. #452C22×C83semidirect
1078. #452C22×C83semidirect
1079. #452C22×C83semidirect
1080. #452C22×C83semidirect
1081. #452C22×C83semidirect
1082. #451C22×C83semidirect
1083. #451C22×C83semidirect
1084. #451C22×C83semidirect
1085. #451C22×C83semidirect
1086. #451C22×C83semidirect
1087. #451C22×C83semidirect
1088. #451C22×C83semidirect
1089. #451C22×C83semidirect
1098. #449C22×C83semidirect
1099. #449C22×C83semidirect
1100. #449C22×C83semidirect
1101. #448C22×C83semidirect
1102. #448C22×C83semidirect
1103. #448C22×C83semidirect
1104. #448C22×C83semidirect
1107. #442C22×C83semidirect
1108. #441C22×C83semidirect
1109. #440C22×C83semidirect
1110. #440C22×C83semidirect
1111. C4×Q16C22×C83semidirect
1112. C4×Q16C22×C83semidirect
1113. C4×SD16C22×C83semidirect
1114. C4×SD16C22×C83semidirect
1115. #436C22×C83semidirect
1116. #436C22×C83semidirect
1117. #435C22×C83semidirect
1118. #435C22×C83semidirect
1119. #435C22×C83semidirect
1120. #435C22×C83semidirect
1121. C8×D4C22×C83semidirect
1122. C8×D4C22×C83semidirect
1123. #432C22×C83semidirect
1124. #431C22×C83semidirect
1125. #419C22×C83semidirect
1128. #417C22×C83semidirect
1130. #416C22×C83semidirect
1131. C2×#103C22×C83semidirect
1135. #408C22×C83semidirect
1136. #408C22×C83semidirect

Maximal subgroups

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

subgroupindex
C83×#35472
C83×#35002
C83×#33272
C83×#33232
C83×#33212
C83×#33192
C83×#33162
C83×#33142
C83×#33002
C83×#32962
C83×#32852
C83×#32822
C83×#32772
C83×#32752
C83×#32702
C83×#32692
C83×#32672
C83×#32662
C83×#32152
C83×#32112
C83×#32022
C83×#32012
C83×#32002
C83×#31982
C83×#31112
C83×#31072
C83×#30132
C83×#30122
C83×#30112
C83×#30092
C83×#29812
#6169183