Finite Group Databasebeta

← C83×#61445 #35289269

Subgroups — C83×#61445 #35289269

Order 21248.

1904 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#3482C211yesmaximal, characteristic, complemented
2C83×#3481C211yesmaximal, characteristic, complemented
3C83×#3401C211yesmaximal, characteristic, complemented
4C83×#3388C211yesmaximal, characteristic, complemented
5C83×#3376C211yesmaximal, characteristic, complemented
6C83×#3371C211yesmaximal, characteristic, complemented
7C83×#3351C211yesmaximal, characteristic, complemented
8C83×#3345C211yesmaximal, characteristic, complemented
9C83×#3344C211yesmaximal, characteristic, complemented
10C83×#3326C211yesmaximal, characteristic, complemented
11C83×#3323C211yesmaximal, characteristic, complemented
12C83×#3320C211yesmaximal, characteristic, complemented
13C83×#3316C211yesmaximal, characteristic, complemented
14C83×#3310C211yesmaximal, characteristic, complemented
15C83×#3306C211yesmaximal, characteristic, complemented
16C83×#3275C211yesmaximal, characteristic, complemented
17C83×#3266C211yesmaximal, characteristic, complemented
18C83×#3265C211yesmaximal, characteristic, complemented
19C83×#3172C211yesmaximal, characteristic, complemented
20C83×#3171C211yesmaximal, characteristic, complemented
21C83×#3168C211yesmaximal, characteristic, complemented
22C83×#3108C211yesmaximal, characteristic, complemented
23C83×#3105C211yesmaximal, characteristic, complemented
24C83×#3103C211yesmaximal, characteristic, complemented
25C83×#3102C211yesmaximal, characteristic, complemented
26C83×#3102C211yesmaximal, characteristic, complemented
27C83×#3101C211yesmaximal, characteristic, complemented
28C83×#2965C211yesmaximal, characteristic, complemented
29C4×#137×C83C211yesmaximal, characteristic, complemented
30C4×AGL(1,ℤ/8)×C83C211yesmaximal, characteristic, complemented
31C2×C4×SD16×C83C211yesmaximal, characteristic, complemented
32C2×#137×C83C2211yescharacteristic
33C2×AGL(1,ℤ/8)×C83C2211yescharacteristic
34C22×SD16×C83C2211yescharacteristic
35#559×C83C2211yescharacteristic
36#557×C83C2211yescharacteristic, complemented
37#556×C83—21no—
38#556×C83C2211yescharacteristic, complemented
39#554×C83C2211yescharacteristic
40#554×C83C2211yescharacteristic
41#553×C83—21no—
42#553×C83C2211yescharacteristic
43#553×C83C2211yescharacteristic
44#552×C83—21no—
45#552×C83—21no—
46#552×C83C2211yescharacteristic
47#552×C83C2211yescharacteristic, complemented
48#551×C83—21no—
49#551×C83—21no—
50D4×Q8×C83C2211yescharacteristic, complemented
51#548×C83C2211yescharacteristic
52#548×C83C2211yescharacteristic, complemented
53#547×C83—21no—
54#547×C83C2211yescharacteristic, complemented
55#546×C83—21no—
56#546×C83C2211yescharacteristic
57#546×C83C2211yescharacteristic
58D42×C83C2211yescharacteristic
59#533×C83—21no—
60#533×C83C2211yescharacteristic, complemented
61#532×C83C2211yescharacteristic
62#529×C83—21no—
63#529×C83—21no—
64#529×C83—21no—
65#529×C83C2211yescharacteristic
66#529×C83C2211yescharacteristic
67#529×C83C2211yescharacteristic, complemented
68#529×C83C2211yescharacteristic, complemented
69#525×C83—21no—
70#525×C83—21no—
71C4×#41×C83—21no—
72C4×#41×C83C2211yescharacteristic
73C4×#41×C83C2211yescharacteristic
74C4×#41×C83C2211yescharacteristic, complemented
75C2×C4×Q8×C83C2211yescharacteristic, complemented
76C2×C4×Q8×C83C2211yescharacteristic, complemented
77C2×C4×D4×C83—21no—
78C2×C4×D4×C83C2211yescharacteristic
79C2×C4×D4×C83C2211yescharacteristic
80#501×C83C2211yescharacteristic, complemented
81#501×C83C2211yescharacteristic, complemented
82#499×C83C2211yescharacteristic, complemented
83#497×C83C2211yescharacteristic, complemented
84#496×C83C2211yescharacteristic
85#495×C83C2211yescharacteristic, complemented
86#491×C83C2211yescharacteristic, complemented
87#490×C83C2211yescharacteristic
88#489×C83C2211yescharacteristic, complemented
89#489×C83C2211yescharacteristic, complemented
90#488×C83C2211yescharacteristic, complemented
91#488×C83C2211yescharacteristic, complemented
92#485×C83C2211yescharacteristic, complemented
93#485×C83C2211yescharacteristic, complemented
94#484×C83C2211yescharacteristic, complemented
95#483×C83C2211yescharacteristic, complemented
96#483×C83C2211yescharacteristic, complemented
97#483×C83C2211yescharacteristic, complemented
98#482×C83C2211yescharacteristic
99#482×C83C2211yescharacteristic, complemented
100#481×C83C2211yescharacteristic, complemented
101#481×C83C2211yescharacteristic, complemented
102#481×C83C2211yescharacteristic, complemented
103#480×C83C2211yescharacteristic
104#479×C83C2211yescharacteristic, complemented
105#479×C83C2211yescharacteristic, complemented
106#479×C83C2211yescharacteristic, complemented
107#479×C83C2211yescharacteristic, complemented
108#478×C83C2211yescharacteristic
109#478×C83C2211yescharacteristic
110#478×C83C2211yescharacteristic, complemented
111#478×C83C2211yescharacteristic, complemented
112#476×C83C2211yescharacteristic
113#476×C83C2211yescharacteristic, complemented
114#475×C83C2211yescharacteristic, complemented
115#475×C83C2211yescharacteristic, complemented
116#470×C83C2211yescharacteristic, complemented
117#470×C83C2211yescharacteristic, complemented
118#469×C83C2211yescharacteristic, complemented
119#469×C83C2211yescharacteristic, complemented
120#468×C83C2211yescharacteristic
121#468×C83C2211yescharacteristic
122#468×C83C2211yescharacteristic, complemented
123#468×C83C2211yescharacteristic, complemented
124#467×C83C2211yescharacteristic, complemented
125#466×C83C2211yescharacteristic
126#465×C83C2211yescharacteristic
127#465×C83C2211yescharacteristic, complemented
128#464×C83C2211yescharacteristic, complemented
129#464×C83C2211yescharacteristic, complemented
130#464×C83C2211yescharacteristic, complemented
131#464×C83C2211yescharacteristic, complemented
132#463×C83C2211yescharacteristic
133#463×C83C2211yescharacteristic
134#463×C83C2211yescharacteristic, complemented
135#463×C83C2211yescharacteristic, complemented
136#461×C83C2211yescharacteristic
137#461×C83C2211yescharacteristic, complemented
138#460×C83C2211yescharacteristic
139#460×C83C2211yescharacteristic
140#452×C83C2211yescharacteristic
141#452×C83C2211yescharacteristic, complemented
142#451×C83C2211yescharacteristic, complemented
143#450×C83C2211yescharacteristic
144#450×C83C2211yescharacteristic
145#450×C83C2211yescharacteristic
146#449×C83C2211yescharacteristic
147#449×C83C2211yescharacteristic
148#448×C83C2211yescharacteristic
149#448×C83C2211yescharacteristic, complemented
150#448×C83C2211yescharacteristic, complemented
151#447×C83C2211yescharacteristic
152#446×C83C2211yescharacteristic, complemented
153#446×C83C2211yescharacteristic, complemented
154#442×C83C2211yescharacteristic
155#442×C83C2211yescharacteristic, complemented
156#441×C83C2211yescharacteristic, complemented
157#441×C83C2211yescharacteristic, complemented
158#440×C83C2211yescharacteristic
159#440×C83C2211yescharacteristic
160#440×C83C2211yescharacteristic
161#440×C83C2211yescharacteristic, complemented
162C4×Q16×C83C2211yescharacteristic, complemented
163C4×Q16×C83C2211yescharacteristic, complemented
164C4×Q16×C83C2211yescharacteristic, complemented
165C4×SD16×C83C2211yescharacteristic
166C4×SD16×C83C2211yescharacteristic
167C4×SD16×C83C2211yescharacteristic
168C4×SD16×C83C2211yescharacteristic
169C4×SD16×C83C2211yescharacteristic
170C4×SD16×C83C2211yescharacteristic, complemented
171C4×SD16×C83C2211yescharacteristic, complemented
172C4×SD16×C83C2211yescharacteristic, complemented
173C4×SD16×C83C2211yescharacteristic, complemented
174C4×SD16×C83C2211yescharacteristic, complemented
175C4×SD16×C83C2211yescharacteristic, complemented
176C4×SD16×C83C2211yescharacteristic, complemented
177C4×SD16×C83C2211yescharacteristic, complemented
178C4×SD16×C83C2211yescharacteristic, complemented
179C4×D8×C83C2211yescharacteristic
180C4×D8×C83C2211yescharacteristic, complemented
181C4×D8×C83C2211yescharacteristic, complemented
182#436×C83C2211yescharacteristic, complemented
183#436×C83C2211yescharacteristic, complemented
184#435×C83C2211yescharacteristic
185#435×C83C2211yescharacteristic
186#435×C83C2211yescharacteristic, complemented
187#435×C83C2211yescharacteristic, complemented
188#431×C83C2211yescharacteristic, complemented
189#431×C83C2211yescharacteristic, complemented
190#431×C83C2211yescharacteristic, complemented
191#428×C83C2211yescharacteristic, complemented
192#428×C83C2211yescharacteristic, complemented
193C2×#106×C83C2211yescharacteristic, complemented
194#419×C83C2211yescharacteristic, complemented
195#418×C83C2211yescharacteristic
196#417×C83C2211yescharacteristic
197#417×C83C2211yescharacteristic, complemented
198C2×#103×C83C2211yescharacteristic, complemented
199C2×#102×C83C2211yescharacteristic
200C4×M16×C83C2211yescharacteristic, complemented
201C4×M16×C83C2211yescharacteristic, complemented
202C2×C4×C8×C83C2211yescharacteristic, complemented
203C2×#41×C83—21no—
204C2×#41×C83—21no—
205C2×#41×C83D411yescharacteristic
206C2×#41×C83C2311yescharacteristic
207C2×#41×C83C2311yescharacteristic
208C22×Q8×C83C2311yescharacteristic
209C22×Q8×C83C2311yescharacteristic
210C22×D4×C83—21no—
211C22×D4×C83C2311yescharacteristic
212C22×D4×C83C2311yescharacteristic
213C23×C4×C83—21no—
214C23×C4×C83—21no—
215#137×C83—24no—
216AGL(1,ℤ/8)×C83—24no—
217C2×Q16×C83C2311yescharacteristic
218C2×Q16×C83C2311yescharacteristic
219C2×Q16×C83C2311yescharacteristic
220C2×SD16×C83—24no—
221C2×SD16×C83C2311yescharacteristic
222C2×SD16×C83C2311yescharacteristic
223C2×SD16×C83C2311yescharacteristic
224C2×SD16×C83C2311yescharacteristic
225C2×SD16×C83C2311yescharacteristic
226C2×SD16×C83C2311yescharacteristic
227C2×SD16×C83C2311yescharacteristic
228C2×SD16×C83C2311yescharacteristic
229C2×SD16×C83C2311yescharacteristic
230C2×SD16×C83C2311yescharacteristic
231C2×D8×C83C2311yescharacteristic
232C2×D8×C83C2311yescharacteristic
233C2×D8×C83C2311yescharacteristic
234C2×M16×C83C2311yescharacteristic
235C2×M16×C83C2311yescharacteristic
236C2×M16×C83C2311yescharacteristic
237C2×M16×C83C2311yescharacteristic
238C22×C8×C83C2311yescharacteristic
239C22×C8×C83C2311yescharacteristic
240C4⋊Q8×C83—21no—
241C4⋊Q8×C83—21no—
242C4⋊Q8×C83C2311yescharacteristic
243C4⋊Q8×C83C2311yescharacteristic
244C4⋊Q8×C83C2311yescharacteristic
245#127×C83C2311yescharacteristic
246#126×C83—21no—
247#126×C83—21no—
248#126×C83—21no—
249#126×C83—21no—
250#126×C83—21no—
251#126×C83—21no—
252#126×C83—21no—
253#126×C83—21no—
254#126×C83—21no—
255#126×C83—21no—
256#125×C83—21no—
257#125×C83—21no—
258#125×C83—21no—
259#125×C83—21no—
260#125×C83—21no—
261#125×C83—21no—
262#125×C83C2311yescharacteristic
263#125×C83C2311yescharacteristic
264#125×C83C2311yescharacteristic
265#125×C83C2311yescharacteristic
266#124×C83—21no—
267#124×C83—21no—
268#124×C83—21no—
269#124×C83—21no—
270#124×C83C2311yescharacteristic
271#124×C83C2311yescharacteristic
272#124×C83C2311yescharacteristic
273#124×C83C2311yescharacteristic
274#123×C83—21no—
275#123×C83—21no—
276#123×C83—21no—
277#123×C83—21no—
278#123×C83—21no—
279#123×C83—21no—
280#123×C83—21no—
281#123×C83—21no—
282#123×C83—21no—
283#123×C83—21no—
284#123×C83—21no—
285#123×C83—21no—
286#123×C83—21no—
287#123×C83—21no—
288C22⋊Q8×C83—21no—
289C22⋊Q8×C83—21no—
290C22⋊Q8×C83—21no—
291C22⋊Q8×C83—21no—
292C22⋊Q8×C83—21no—
293C22⋊Q8×C83—21no—
294C22⋊Q8×C83—21no—
295C22⋊Q8×C83—21no—
296C22⋊Q8×C83—21no—
297C22⋊Q8×C83—21no—
298C22⋊Q8×C83—21no—
299C22⋊Q8×C83—21no—
300C22⋊Q8×C83C2311yescharacteristic
301C22⋊Q8×C83C2311yescharacteristic
302C22⋊Q8×C83C2311yescharacteristic
303C22⋊Q8×C83C2311yescharacteristic
304C22⋊Q8×C83C2311yescharacteristic
305C22⋊Q8×C83C2311yescharacteristic
306#121×C83—21no—
307#121×C83—21no—
308#121×C83—21no—
309#121×C83—21no—
310#121×C83—21no—
311#121×C83—21no—
312#121×C83—21no—
313#121×C83—21no—
314#121×C83C2311yescharacteristic
315#121×C83C2311yescharacteristic
316#121×C83C2311yescharacteristic
317#121×C83C2311yescharacteristic
318#121×C83C2311yescharacteristic
319#121×C83C2311yescharacteristic
320#120×C83—21no—
321#120×C83—21no—
322#120×C83—21no—
323#120×C83—21no—
324C4×Q8×C83—21no—
325C4×Q8×C83—21no—
326C4×Q8×C83—21no—
327C4×Q8×C83—21no—
328C4×Q8×C83—21no—
329C4×Q8×C83—21no—
330C4×Q8×C83D411yescharacteristic
331C4×Q8×C83C2311yescharacteristic
332C4×Q8×C83C2311yescharacteristic
333C4×Q8×C83C2311yescharacteristic
334C4×Q8×C83C2311yescharacteristic
335C4×Q8×C83C2311yescharacteristic
336C4×Q8×C83C2311yescharacteristic
337C4×Q8×C83C2311yescharacteristic
338C4×Q8×C83C2311yescharacteristic
339C4×Q8×C83C2311yescharacteristic
340C4×Q8×C83C2311yescharacteristic
341C4×Q8×C83C2311yescharacteristic
342C4×D4×C83—21no—
343C4×D4×C83—21no—
344C4×D4×C83—21no—
345C4×D4×C83—21no—
346C4×D4×C83—21no—
347C4×D4×C83—21no—
348C4×D4×C83—21no—
349C4×D4×C83—21no—
350C4×D4×C83—21no—
351C4×D4×C83—21no—
352C4×D4×C83—21no—
353C4×D4×C83—21no—
354C4×D4×C83—21no—
355C4×D4×C83—21no—
356C4×D4×C83—21no—
357C4×D4×C83—21no—
358C4×D4×C83—21no—
359C4×D4×C83—21no—
360C4×D4×C83—21no—
361C4×D4×C83—21no—
362C4×D4×C83D411yescharacteristic
363C4×D4×C83D411yescharacteristic
364C4×D4×C83D411yescharacteristic
365C4×D4×C83C2311yescharacteristic
366C4×D4×C83C2311yescharacteristic
367C4×D4×C83C2311yescharacteristic
368C4×D4×C83C2311yescharacteristic
369C4×D4×C83C2311yescharacteristic
370C4×D4×C83C2311yescharacteristic
371C4×D4×C83C2311yescharacteristic
372C4×D4×C83C2311yescharacteristic
373C4×D4×C83C2311yescharacteristic
374C4×D4×C83C2311yescharacteristic
375C4×D4×C83C2311yescharacteristic
376C4×D4×C83C2311yescharacteristic
377C4×D4×C83C2311yescharacteristic
378#117×C83—21no—
379#117×C83—21no—
380#117×C83—21no—
381#117×C83—21no—
382#117×C83—21no—
383#117×C83—21no—
384#117×C83—21no—
385#117×C83—21no—
386#117×C83—21no—
387#117×C83—21no—
388#117×C83D411yescharacteristic
389#117×C83D411yescharacteristic
390#117×C83D411yescharacteristic
391#117×C83C2311yescharacteristic
392#117×C83C2311yescharacteristic
393C2×C4⋊C4×C83—21no—
394C2×C4⋊C4×C83—21no—
395C2×C4⋊C4×C83—21no—
396C2×C4⋊C4×C83C2311yescharacteristic
397C2×C4⋊C4×C83C2311yescharacteristic
398C2×C4⋊C4×C83C2311yescharacteristic
399C2×C4⋊C4×C83C2311yescharacteristic
400C2×C22⋊C4×C83—21no—
401C2×C22⋊C4×C83—21no—
402C2×C22⋊C4×C83—21no—
403C2×C22⋊C4×C83—21no—
404C2×C42×C83—21no—
405C2×C42×C83—21no—
406C2×C42×C83—21no—
407C2×C42×C83—21no—
408C2×C42×C83C2311yescharacteristic
409C2×C42×C83C2311yescharacteristic
410C2×C42×C83C2311yescharacteristic
411#107×C83C2311yescharacteristic
412#107×C83C2311yescharacteristic
413#107×C83C2311yescharacteristic
414#107×C83C2311yescharacteristic
415#107×C83C2311yescharacteristic
416#107×C83C2311yescharacteristic
417#106×C83C2311yescharacteristic
418#106×C83C2311yescharacteristic
419#106×C83C2311yescharacteristic
420#106×C83C2311yescharacteristic
421#106×C83C2311yescharacteristic
422#106×C83C2311yescharacteristic
423#106×C83C2311yescharacteristic
424#106×C83C2311yescharacteristic
425#106×C83C2311yescharacteristic
426#106×C83C2311yescharacteristic
427C4⋊C8×C83C2311yescharacteristic
428C4⋊C8×C83C2311yescharacteristic
429C4⋊C8×C83C2311yescharacteristic
430C4⋊C8×C83C2311yescharacteristic
431C4⋊C8×C83C2311yescharacteristic
432C4⋊C8×C83C2311yescharacteristic
433#103×C83C2311yescharacteristic
434#103×C83C2311yescharacteristic
435#103×C83C2311yescharacteristic
436#103×C83C2311yescharacteristic
437#103×C83C2311yescharacteristic
438#103×C83C2311yescharacteristic
439#103×C83C2311yescharacteristic
440#103×C83C2311yescharacteristic
441#103×C83C2311yescharacteristic
442#103×C83C2311yescharacteristic
443#103×C83C2311yescharacteristic
444#103×C83C2311yescharacteristic
445#103×C83C2311yescharacteristic
446#103×C83C2311yescharacteristic
447#103×C83C2311yescharacteristic
448#103×C83C2311yescharacteristic
449#102×C83C2311yescharacteristic
450#102×C83C2311yescharacteristic
451#102×C83C2311yescharacteristic
452#102×C83C2311yescharacteristic
453#102×C83C2311yescharacteristic
454#102×C83C2311yescharacteristic
455#102×C83C2311yescharacteristic
456#102×C83C2311yescharacteristic
457#102×C83C2311yescharacteristic
458#102×C83C2311yescharacteristic
459#102×C83C2311yescharacteristic
460#102×C83C2311yescharacteristic
461#102×C83C2311yescharacteristic
462#102×C83C2311yescharacteristic
463#102×C83C2311yescharacteristic
464#102×C83C2311yescharacteristic
465C22⋊C8×C83C2311yescharacteristic
466C22⋊C8×C83C2311yescharacteristic
467C22⋊C8×C83C2311yescharacteristic
468C22⋊C8×C83C2311yescharacteristic
469C22⋊C8×C83C2311yescharacteristic
470C22⋊C8×C83C2311yescharacteristic
471#97×C83C2311yescharacteristic
472#97×C83C2311yescharacteristic
473#97×C83C2311yescharacteristic
474#97×C83C2311yescharacteristic
475C4×C8×C83C2311yescharacteristic
476C4×C8×C83C2311yescharacteristic
477C4×C8×C83C2311yescharacteristic
478C4×C8×C83C2311yescharacteristic
479C4×C8×C83C2311yescharacteristic
480C4×C8×C83C2311yescharacteristic
481C24×C83—21no—
482C24×C83—21no—
483#41×C83—22no—
484#41×C83—22no—
485#41×C83—42no—
486#41×C83—41no—
487#41×C83—41no—
488#41×C83—44no—
489#41×C83—82no—
490C2×Q8×C83—21no—
491C2×Q8×C83—21no—
492C2×Q8×C83—21no—
493C2×Q8×C83—21no—
494C2×Q8×C83—22no—
495C2×Q8×C83—22no—
496C2×Q8×C83—41no—
497C2×Q8×C83—41no—
498C2×Q8×C83C2×D411yescharacteristic
499C2×Q8×C83C2411yescharacteristic
500C2×Q8×C83C2411yescharacteristic
501C2×Q8×C83C2411yescharacteristic
502C2×Q8×C83C2411yescharacteristic
503C2×D4×C83—22no—
504C2×D4×C83—22no—
505C2×D4×C83—21no—
506C2×D4×C83—21no—
507C2×D4×C83—21no—
508C2×D4×C83—21no—
509C2×D4×C83—21no—
510C2×D4×C83—21no—
511C2×D4×C83—21no—
512C2×D4×C83—21no—
513C2×D4×C83—21no—
514C2×D4×C83—21no—
515C2×D4×C83—21no—
516C2×D4×C83—21no—
517C2×D4×C83—41no—
518C2×D4×C83—41no—
519C2×D4×C83—44no—
520C2×D4×C83C2×D411yescharacteristic
521C2×D4×C83C2×D411yescharacteristic
522C2×D4×C83C2×D411yescharacteristic
523C2×D4×C83C2411yescharacteristic
524C2×D4×C83C2411yescharacteristic
525C2×D4×C83C2411yescharacteristic
526C2×D4×C83C2411yescharacteristic
527C22×C4×C83—21no—
528C22×C4×C83—21no—
529C22×C4×C83—21no—
530C22×C4×C83—21no—
531C22×C4×C83—21no—
532C22×C4×C83—21no—
533C22×C4×C83—21no—
534C22×C4×C83—21no—
535C22×C4×C83—21no—
536C22×C4×C83—21no—
537C22×C4×C83—21no—
538C22×C4×C83—21no—
539C22×C4×C83—21no—
540C22×C4×C83—21no—
541C22×C4×C83—21no—
542C22×C4×C83—21no—
543C22×C4×C83—21no—
544C22×C4×C83—21no—
545C22×C4×C83—82no—
546C22×C4×C83—82no—
547C22×C4×C83C2×D411yescharacteristic
548C22×C4×C83C2×D411yescharacteristic
549C22×C4×C83C2×D411yescharacteristic
550C22×C4×C83C2×D411yescharacteristic
551C22×C4×C83C2×D411yescharacteristic
552C22×C4×C83C2×D411yescharacteristic
553C22×C4×C83C2411yescharacteristic
554C22×C4×C83C2411yescharacteristic
555C22×C4×C83C2411yescharacteristic
556Q16×C83—22no—
557Q16×C83—22no—
558Q16×C83—41no—
559SD16×C83—22no—
560SD16×C83—22no—
561SD16×C83—22no—
562SD16×C83—22no—
563SD16×C83—22no—
564SD16×C83—41no—
565SD16×C83—41no—
566SD16×C83—41no—
567SD16×C83—41no—
568SD16×C83#4114yescomplemented
569D8×C83—22no—
570D8×C83—22no—
571D8×C83—41no—
572M16×C83—22no—
573M16×C83—22no—
574M16×C83—41no—
575M16×C83—41no—
576C2×C8×C83—22no—
577C2×C8×C83—41no—
578C2×C8×C83C2411yescharacteristic
579C2×C8×C83C2411yescharacteristic
580C2×C8×C83C2411yescharacteristic
581C2×C8×C83C2411yescharacteristic
582C2×C8×C83C2411yescharacteristic
583C2×C8×C83C2411yescharacteristic
584C2×C8×C83C2411yescharacteristic
585C2×C8×C83C2411yescharacteristic
586C4⋊C4×C83—21no—
587C4⋊C4×C83—21no—
588C4⋊C4×C83—21no—
589C4⋊C4×C83—21no—
590C4⋊C4×C83—21no—
591C4⋊C4×C83—21no—
592C4⋊C4×C83—21no—
593C4⋊C4×C83—21no—
594C4⋊C4×C83—21no—
595C4⋊C4×C83—21no—
596C4⋊C4×C83—21no—
597C4⋊C4×C83—21no—
598C4⋊C4×C83—21no—
599C4⋊C4×C83—21no—
600C4⋊C4×C83—21no—
601C4⋊C4×C83—21no—
602C4⋊C4×C83—21no—
603C4⋊C4×C83—21no—
604C4⋊C4×C83—21no—
605C4⋊C4×C83—21no—
606C4⋊C4×C83—21no—
607C4⋊C4×C83—21no—
608C4⋊C4×C83—21no—
609C4⋊C4×C83—21no—
610C4⋊C4×C83—21no—
611C4⋊C4×C83—21no—
612C4⋊C4×C83—21no—
613C4⋊C4×C83—21no—
614C4⋊C4×C83—21no—
615C4⋊C4×C83—21no—
616C4⋊C4×C83—21no—
617C4⋊C4×C83—21no—
618C4⋊C4×C83C2×D411yescharacteristic
619C4⋊C4×C83C2×D411yescharacteristic
620C4⋊C4×C83C2×D411yescharacteristic
621C4⋊C4×C83C2×D411yescharacteristic
622C4⋊C4×C83C2×D411yescharacteristic
623C4⋊C4×C83C2×D411yescharacteristic
624C4⋊C4×C83C2411yescharacteristic
625C4⋊C4×C83C2411yescharacteristic
626C4⋊C4×C83C2411yescharacteristic
627C4⋊C4×C83C2411yescharacteristic
628C4⋊C4×C83C2411yescharacteristic
629C4⋊C4×C83C2411yescharacteristic
630C4⋊C4×C83C2411yescharacteristic
631C4⋊C4×C83C2411yescharacteristic
632C22⋊C4×C83—21no—
633C22⋊C4×C83—21no—
634C22⋊C4×C83—21no—
635C22⋊C4×C83—21no—
636C22⋊C4×C83—21no—
637C22⋊C4×C83—21no—
638C22⋊C4×C83—21no—
639C22⋊C4×C83—21no—
640C22⋊C4×C83—21no—
641C22⋊C4×C83—21no—
642C22⋊C4×C83—21no—
643C22⋊C4×C83—21no—
644C22⋊C4×C83—21no—
645C22⋊C4×C83—21no—
646C22⋊C4×C83—21no—
647C22⋊C4×C83—21no—
648C22⋊C4×C83—21no—
649C22⋊C4×C83—21no—
650C22⋊C4×C83—21no—
651C22⋊C4×C83—21no—
652C22⋊C4×C83—21no—
653C22⋊C4×C83—21no—
654C22⋊C4×C83—21no—
655C22⋊C4×C83—21no—
656C22⋊C4×C83—21no—
657C22⋊C4×C83—21no—
658C22⋊C4×C83—21no—
659C22⋊C4×C83—21no—
660C22⋊C4×C83—21no—
661C22⋊C4×C83—21no—
662C22⋊C4×C83—21no—
663C22⋊C4×C83—21no—
664C22⋊C4×C83C2×D411yescharacteristic
665C22⋊C4×C83C2×D411yescharacteristic
666C22⋊C4×C83C2×D411yescharacteristic
667C22⋊C4×C83C2×D411yescharacteristic
668C22⋊C4×C83C2×D411yescharacteristic
669C22⋊C4×C83C2×D411yescharacteristic
670C42×C83—21no—
671C42×C83—21no—
672C42×C83—21no—
673C42×C83—21no—
674C42×C83—21no—
675C42×C83—21no—
676C42×C83—21no—
677C42×C83—21no—
678C42×C83—21no—
679C42×C83—21no—
680C42×C83—21no—
681C42×C83—21no—
682C42×C83C2×D411yescharacteristic
683C42×C83C2×D411yescharacteristic
684C42×C83C2×D411yescharacteristic
685C42×C83C2×D411yescharacteristic
686C42×C83C2×D411yescharacteristic
687C42×C83C2×D411yescharacteristic
688C42×C83C2411yescharacteristic
689C42×C83C2411yescharacteristic
690C42×C83C2411yescharacteristic
691C42×C83C2411yescharacteristic
692C23×C83—21no—
693C23×C83—21no—
694C23×C83—21no—
695C23×C83—21no—
696C23×C83—42no—
697C23×C83—42no—
698C23×C83—42no—
699C23×C83—42no—
700C23×C83—81no—
701C23×C83—81no—
702C23×C83C22×D411yescharacteristic
703C23×C83C22×D411yescharacteristic
704C23×C83C22×D411yescharacteristic
705Q8×C83—21no—
706Q8×C83—21no—
707Q8×C83—21no—
708Q8×C83—21no—
709Q8×C83—21no—
710Q8×C83—21no—
711Q8×C83—21no—
712Q8×C83—41no—
713Q8×C83—42no—
714Q8×C83—42no—
715Q8×C83—42no—
716Q8×C83—81no—
717Q8×C83C2×#4112yes—
718D4×C83—22no—
719D4×C83—22no—
720D4×C83—21no—
721D4×C83—21no—
722D4×C83—21no—
723D4×C83—21no—
724D4×C83—21no—
725D4×C83—21no—
726D4×C83—21no—
727D4×C83—41no—
728D4×C83—42no—
729D4×C83—42no—
730D4×C83—42no—
731D4×C83—42no—
732D4×C83—42no—
733D4×C83—42no—
734D4×C83—42no—
735D4×C83—42no—
736D4×C83—42no—
737D4×C83—81no—
738D4×C83—81no—
739D4×C83—81no—
740D4×C83C2×#4112yes—
741C2×C4×C83—22no—
742C2×C4×C83—21no—
743C2×C4×C83—22no—
744C2×C4×C83—22no—
745C2×C4×C83—22no—
746C2×C4×C83—21no—
747C2×C4×C83—21no—
748C2×C4×C83—21no—
749C2×C4×C83—21no—
750C2×C4×C83—21no—
751C2×C4×C83—21no—
752C2×C4×C83—21no—
753C2×C4×C83—21no—
754C2×C4×C83—21no—
755C2×C4×C83—21no—
756C2×C4×C83—21no—
757C2×C4×C83—21no—
758C2×C4×C83—21no—
759C2×C4×C83—21no—
760C2×C4×C83—21no—
761C2×C4×C83—21no—
762C2×C4×C83—21no—
763C2×C4×C83—41no—
764C2×C4×C83—41no—
765C2×C4×C83—42no—
766C2×C4×C83—42no—
767C2×C4×C83—42no—
768C2×C4×C83—42no—
769C2×C4×C83—42no—
770C2×C4×C83—42no—
771C2×C4×C83—42no—
772C2×C4×C83—42no—
773C2×C4×C83—42no—
774C2×C4×C83—42no—
775C2×C4×C83—42no—
776C2×C4×C83—42no—
777C2×C4×C83—81no—
778C2×C4×C83—81no—
779C2×C4×C83—81no—
780C2×C4×C83—81no—
781C2×C4×C83—81no—
782C2×C4×C83—81no—
783C2×C4×C83C22×D411yescharacteristic
784C2×C4×C83C22×D411yescharacteristic
785C2×C4×C83C22×D411yescharacteristic
786C2×C4×C83C22×D411yescharacteristic
787C2×C4×C83C22×D411yescharacteristic
788C2×C4×C83C22×D411yescharacteristic
789C2×C4×C83C22×D411yescharacteristic
790C2×C4×C83C22×D411yescharacteristic
791C2×C4×C83C22×D411yescharacteristic
792C2×C4×C83C22×D411yescharacteristic
793C2×C4×C83C22×D411yescharacteristic
794C2×C4×C83C2511yescharacteristic
795C8×C83—21no—
796C8×C83—21no—
797C8×C83—21no—
798C8×C83—21no—
799C8×C83—21no—
800C8×C83—21no—
801C8×C83—21no—
802C8×C83C2×#4112yes—
803C22×C83—21no—
804C22×C83—21no—
805C22×C83—21no—
806C22×C83—21no—
807C22×C83—22no—
808C22×C83—21no—
809C22×C83—21no—
810C22×C83—21no—
811C22×C83—21no—
812C22×C83—41no—
813C22×C83—41no—
814C22×C83—41no—
815C22×C83—41no—
816C22×C83—41no—
817C22×C83—41no—
818C22×C83—41no—
819C22×C83—41no—
820C22×C83—41no—
821C22×C83—41no—
822C22×C83—41no—
823C22×C83—84no—
824C22×C83—84no—
825C22×C83#57512yes—
826C22×C83C23×D411yescharacteristic
827C4×C83—21no—
828C4×C83—21no—
829C4×C83—21no—
830C4×C83—22no—
831C4×C83—21no—
832C4×C83—21no—
833C4×C83—21no—
834C4×C83—21no—
835C4×C83—21no—
836C4×C83—21no—
837C4×C83—21no—
838C4×C83—41no—
839C4×C83—41no—
840C4×C83—41no—
841C4×C83—41no—
842C4×C83—41no—
843C4×C83—41no—
844C4×C83—41no—
845C4×C83—41no—
846C4×C83—41no—
847C4×C83—41no—
848C4×C83—41no—
849C4×C83#57712yes—
850C4×C83C22×#4111yescharacteristic
851C4×C83#58511yescharacteristic
852#61445C8311yesmaximal, characteristic, direct product factor, Sylow
853C2×C83—22no—
854C2×C83—41no—
855C2×C83—41no—
856C2×C83—42no—
857C2×C83—81no—
858C2×C83—81no—
859C2×C83—81no—
860C2×C83D4×#4111yescharacteristic
861C2×C83C2×#57511yescharacteristic
862C2×C83C2×#57711yescharacteristic
863#3482C2×C8311yescharacteristic, complemented
864#3481C2×C8311yescharacteristic, complemented
865#3401C2×C8311yescharacteristic, complemented
866#3388C2×C8311yescharacteristic, complemented
867#3376C2×C8311yescharacteristic, complemented
868#3371C2×C8311yescharacteristic, complemented
869#3351C2×C8311yescharacteristic, complemented
870#3345C2×C8311yescharacteristic, complemented
871#3344C2×C8311yescharacteristic, complemented
872#3326C2×C8311yescharacteristic, complemented
873#3323C2×C8311yescharacteristic, complemented
874#3320C2×C8311yescharacteristic, complemented
875#3316C2×C8311yescharacteristic, complemented
876#3310C2×C8311yescharacteristic, complemented
877#3306C2×C8311yescharacteristic, complemented
878#3275C2×C8311yescharacteristic, complemented
879#3266C2×C8311yescharacteristic, complemented
880#3265C2×C8311yescharacteristic, complemented
881#3172C2×C8311yescharacteristic, complemented
882#3171C2×C8311yescharacteristic, complemented
883#3168C2×C8311yescharacteristic, complemented
884#3108C2×C8311yescharacteristic, complemented
885#3105C2×C8311yescharacteristic, complemented
886#3103C2×C8311yescharacteristic, complemented
887#3102C2×C8311yescharacteristic, complemented
888#3102C2×C8311yescharacteristic, complemented
889#3101C2×C8311yescharacteristic, complemented
890#2965C2×C8311yescharacteristic, complemented
891C4×#137C2×C8311yescharacteristic, complemented
892C4×AGL(1,ℤ/8)C2×C8311yescharacteristic, complemented
893C2×C4×SD16C2×C8311yescharacteristic, complemented
894C83#6144511yescharacteristic, direct product factor, Sylow
895C2×#137C22×C8311yescharacteristic
896C2×AGL(1,ℤ/8)C22×C8311yescharacteristic
897C22×SD16C22×C8311yescharacteristic
898#559C22×C8311yescharacteristic
899#557C22×C8311yescharacteristic, complemented
900#556—21no—
901#556C22×C8311yescharacteristic, complemented
902#554C22×C8311yescharacteristic
903#554C22×C8311yescharacteristic
904#553—21no—
905#553C22×C8311yescharacteristic
906#553C22×C8311yescharacteristic
907#552—21no—
908#552—21no—
909#552C22×C8311yescharacteristic
910#552C22×C8311yescharacteristic, complemented
911#551—21no—
912#551—21no—
913D4×Q8C22×C8311yescharacteristic, complemented
914#548C22×C8311yescharacteristic
915#548C22×C8311yescharacteristic, complemented
916#547—21no—
917#547C22×C8311yescharacteristic, complemented
918#546—21no—
919#546C22×C8311yescharacteristic
920#546C22×C8311yescharacteristic
921D42C22×C8311yescharacteristic
922#533—21no—
923#533C22×C8311yescharacteristic, complemented
924#532C22×C8311yescharacteristic
925#529—21no—
926#529—21no—
927#529—21no—
928#529C22×C8311yescharacteristic
929#529C22×C8311yescharacteristic
930#529C22×C8311yescharacteristic, complemented
931#529C22×C8311yescharacteristic, complemented
932#525—21no—
933#525—21no—
934C4×#41—21no—
935C4×#41C22×C8311yescharacteristic
936C4×#41C22×C8311yescharacteristic
937C4×#41C22×C8311yescharacteristic, complemented
938C2×C4×Q8C22×C8311yescharacteristic, complemented
939C2×C4×Q8C22×C8311yescharacteristic, complemented
940C2×C4×D4—21no—
941C2×C4×D4C22×C8311yescharacteristic
942C2×C4×D4C22×C8311yescharacteristic
943#501C22×C8311yescharacteristic, complemented
944#501C22×C8311yescharacteristic, complemented
945#499C22×C8311yescharacteristic, complemented
946#497C22×C8311yescharacteristic, complemented
947#496C22×C8311yescharacteristic
948#495C22×C8311yescharacteristic, complemented
949#491C22×C8311yescharacteristic, complemented
950#490C22×C8311yescharacteristic
951#489C22×C8311yescharacteristic, complemented
952#489C22×C8311yescharacteristic, complemented
953#488C22×C8311yescharacteristic, complemented
954#488C22×C8311yescharacteristic, complemented
955#485C22×C8311yescharacteristic, complemented
956#485C22×C8311yescharacteristic, complemented
957#484C22×C8311yescharacteristic, complemented
958#483C22×C8311yescharacteristic, complemented
959#483C22×C8311yescharacteristic, complemented
960#483C22×C8311yescharacteristic, complemented
961#482C22×C8311yescharacteristic
962#482C22×C8311yescharacteristic, complemented
963#481C22×C8311yescharacteristic, complemented
964#481C22×C8311yescharacteristic, complemented
965#481C22×C8311yescharacteristic, complemented
966#480C22×C8311yescharacteristic
967#479C22×C8311yescharacteristic, complemented
968#479C22×C8311yescharacteristic, complemented
969#479C22×C8311yescharacteristic, complemented
970#479C22×C8311yescharacteristic, complemented
971#478C22×C8311yescharacteristic
972#478C22×C8311yescharacteristic
973#478C22×C8311yescharacteristic, complemented
974#478C22×C8311yescharacteristic, complemented
975#476C22×C8311yescharacteristic
976#476C22×C8311yescharacteristic, complemented
977#475C22×C8311yescharacteristic, complemented
978#475C22×C8311yescharacteristic, complemented
979#470C22×C8311yescharacteristic, complemented
980#470C22×C8311yescharacteristic, complemented
981#469C22×C8311yescharacteristic, complemented
982#469C22×C8311yescharacteristic, complemented
983#468C22×C8311yescharacteristic
984#468C22×C8311yescharacteristic
985#468C22×C8311yescharacteristic, complemented
986#468C22×C8311yescharacteristic, complemented
987#467C22×C8311yescharacteristic, complemented
988#466C22×C8311yescharacteristic
989#465C22×C8311yescharacteristic
990#465C22×C8311yescharacteristic, complemented
991#464C22×C8311yescharacteristic, complemented
992#464C22×C8311yescharacteristic, complemented
993#464C22×C8311yescharacteristic, complemented
994#464C22×C8311yescharacteristic, complemented
995#463C22×C8311yescharacteristic
996#463C22×C8311yescharacteristic
997#463C22×C8311yescharacteristic, complemented
998#463C22×C8311yescharacteristic, complemented
999#461C22×C8311yescharacteristic
1000#461C22×C8311yescharacteristic, complemented
1001#460C22×C8311yescharacteristic
1002#460C22×C8311yescharacteristic
1003#452C22×C8311yescharacteristic
1004#452C22×C8311yescharacteristic, complemented
1005#451C22×C8311yescharacteristic, complemented
1006#450C22×C8311yescharacteristic
1007#450C22×C8311yescharacteristic
1008#450C22×C8311yescharacteristic
1009#449C22×C8311yescharacteristic
1010#449C22×C8311yescharacteristic
1011#448C22×C8311yescharacteristic
1012#448C22×C8311yescharacteristic, complemented
1013#448C22×C8311yescharacteristic, complemented
1014#447C22×C8311yescharacteristic
1015#446C22×C8311yescharacteristic, complemented
1016#446C22×C8311yescharacteristic, complemented
1017#442C22×C8311yescharacteristic
1018#442C22×C8311yescharacteristic, complemented
1019#441C22×C8311yescharacteristic, complemented
1020#441C22×C8311yescharacteristic, complemented
1021#440C22×C8311yescharacteristic
1022#440C22×C8311yescharacteristic
1023#440C22×C8311yescharacteristic
1024#440C22×C8311yescharacteristic, complemented
1025C4×Q16C22×C8311yescharacteristic, complemented
1026C4×Q16C22×C8311yescharacteristic, complemented
1027C4×Q16C22×C8311yescharacteristic, complemented
1028C4×SD16C22×C8311yescharacteristic
1029C4×SD16C22×C8311yescharacteristic
1030C4×SD16C22×C8311yescharacteristic
1031C4×SD16C22×C8311yescharacteristic
1032C4×SD16C22×C8311yescharacteristic
1033C4×SD16C22×C8311yescharacteristic, complemented
1034C4×SD16C22×C8311yescharacteristic, complemented
1035C4×SD16C22×C8311yescharacteristic, complemented
1036C4×SD16C22×C8311yescharacteristic, complemented
1037C4×SD16C22×C8311yescharacteristic, complemented
1038C4×SD16C22×C8311yescharacteristic, complemented
1039C4×SD16C22×C8311yescharacteristic, complemented
1040C4×SD16C22×C8311yescharacteristic, complemented
1041C4×SD16C22×C8311yescharacteristic, complemented
1042C4×D8C22×C8311yescharacteristic
1043C4×D8C22×C8311yescharacteristic, complemented
1044C4×D8C22×C8311yescharacteristic, complemented
1045#436C22×C8311yescharacteristic, complemented
1046#436C22×C8311yescharacteristic, complemented
1047#435C22×C8311yescharacteristic
1048#435C22×C8311yescharacteristic
1049#435C22×C8311yescharacteristic, complemented
1050#435C22×C8311yescharacteristic, complemented
1051#431C22×C8311yescharacteristic, complemented
1052#431C22×C8311yescharacteristic, complemented
1053#431C22×C8311yescharacteristic, complemented
1054#428C22×C8311yescharacteristic, complemented
1055#428C22×C8311yescharacteristic, complemented
1056C2×#106C22×C8311yescharacteristic, complemented
1057#419C22×C8311yescharacteristic, complemented
1058#418C22×C8311yescharacteristic
1059#417C22×C8311yescharacteristic
1060#417C22×C8311yescharacteristic, complemented
1061C2×#103C22×C8311yescharacteristic, complemented
1062C2×#102C22×C8311yescharacteristic
1063C4×M16C22×C8311yescharacteristic, complemented
1064C4×M16C22×C8311yescharacteristic, complemented
1065C2×C4×C8C22×C8311yescharacteristic, complemented
1066C2×#41—21no—
1067C2×#41—21no—
1068C2×#41D4×C8311yescharacteristic
1069C2×#41C23×C8311yescharacteristic
1070C2×#41C23×C8311yescharacteristic
1071C22×Q8C23×C8311yescharacteristic
1072C22×Q8C23×C8311yescharacteristic
1073C22×D4—21no—
1074C22×D4C23×C8311yescharacteristic
1075C22×D4C23×C8311yescharacteristic
1076C23×C4—21no—
1077C23×C4—21no—
1078#137—24no—
1079AGL(1,ℤ/8)—24no—
1080C2×Q16C23×C8311yescharacteristic
1081C2×Q16C23×C8311yescharacteristic
1082C2×Q16C23×C8311yescharacteristic
1083C2×SD16—24no—
1084C2×SD16C23×C8311yescharacteristic
1085C2×SD16C23×C8311yescharacteristic
1086C2×SD16C23×C8311yescharacteristic
1087C2×SD16C23×C8311yescharacteristic
1088C2×SD16C23×C8311yescharacteristic
1089C2×SD16C23×C8311yescharacteristic
1090C2×SD16C23×C8311yescharacteristic
1091C2×SD16C23×C8311yescharacteristic
1092C2×SD16C23×C8311yescharacteristic
1093C2×SD16C23×C8311yescharacteristic
1094C2×D8C23×C8311yescharacteristic
1095C2×D8C23×C8311yescharacteristic
1096C2×D8C23×C8311yescharacteristic
1097C2×M16C23×C8311yescharacteristic
1098C2×M16C23×C8311yescharacteristic
1099C2×M16C23×C8311yescharacteristic
1100C2×M16C23×C8311yescharacteristic
1101C22×C8C23×C8311yescharacteristic
1102C22×C8C23×C8311yescharacteristic
1103C4⋊Q8—21no—
1104C4⋊Q8—21no—
1105C4⋊Q8C23×C8311yescharacteristic
1106C4⋊Q8C23×C8311yescharacteristic
1107C4⋊Q8C23×C8311yescharacteristic
1108#127C23×C8311yescharacteristic
1109#126—21no—
1110#126—21no—
1111#126—21no—
1112#126—21no—
1113#126—21no—
1114#126—21no—
1115#126—21no—
1116#126—21no—
1117#126—21no—
1118#126—21no—
1119#125—21no—
1120#125—21no—
1121#125—21no—
1122#125—21no—
1123#125—21no—
1124#125—21no—
1125#125C23×C8311yescharacteristic
1126#125C23×C8311yescharacteristic
1127#125C23×C8311yescharacteristic
1128#125C23×C8311yescharacteristic
1129#124—21no—
1130#124—21no—
1131#124—21no—
1132#124—21no—
1133#124C23×C8311yescharacteristic
1134#124C23×C8311yescharacteristic
1135#124C23×C8311yescharacteristic
1136#124C23×C8311yescharacteristic
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—21no—
1149#123—21no—
1150#123—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—21no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—21no—
1162C22⋊Q8—21no—
1163C22⋊Q8C23×C8311yescharacteristic
1164C22⋊Q8C23×C8311yescharacteristic
1165C22⋊Q8C23×C8311yescharacteristic
1166C22⋊Q8C23×C8311yescharacteristic
1167C22⋊Q8C23×C8311yescharacteristic
1168C22⋊Q8C23×C8311yescharacteristic
1169#121—21no—
1170#121—21no—
1171#121—21no—
1172#121—21no—
1173#121—21no—
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121C23×C8311yescharacteristic
1178#121C23×C8311yescharacteristic
1179#121C23×C8311yescharacteristic
1180#121C23×C8311yescharacteristic
1181#121C23×C8311yescharacteristic
1182#121C23×C8311yescharacteristic
1183#120—21no—
1184#120—21no—
1185#120—21no—
1186#120—21no—
1187C4×Q8—21no—
1188C4×Q8—21no—
1189C4×Q8—21no—
1190C4×Q8—21no—
1191C4×Q8—21no—
1192C4×Q8—21no—
1193C4×Q8D4×C8311yescharacteristic
1194C4×Q8C23×C8311yescharacteristic
1195C4×Q8C23×C8311yescharacteristic
1196C4×Q8C23×C8311yescharacteristic
1197C4×Q8C23×C8311yescharacteristic
1198C4×Q8C23×C8311yescharacteristic
1199C4×Q8C23×C8311yescharacteristic
1200C4×Q8C23×C8311yescharacteristic
1201C4×Q8C23×C8311yescharacteristic
1202C4×Q8C23×C8311yescharacteristic
1203C4×Q8C23×C8311yescharacteristic
1204C4×Q8C23×C8311yescharacteristic
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—21no—
1218C4×D4—21no—
1219C4×D4—21no—
1220C4×D4—21no—
1221C4×D4—21no—
1222C4×D4—21no—
1223C4×D4—21no—
1224C4×D4—21no—
1225C4×D4D4×C8311yescharacteristic
1226C4×D4D4×C8311yescharacteristic
1227C4×D4D4×C8311yescharacteristic
1228C4×D4C23×C8311yescharacteristic
1229C4×D4C23×C8311yescharacteristic
1230C4×D4C23×C8311yescharacteristic
1231C4×D4C23×C8311yescharacteristic
1232C4×D4C23×C8311yescharacteristic
1233C4×D4C23×C8311yescharacteristic
1234C4×D4C23×C8311yescharacteristic
1235C4×D4C23×C8311yescharacteristic
1236C4×D4C23×C8311yescharacteristic
1237C4×D4C23×C8311yescharacteristic
1238C4×D4C23×C8311yescharacteristic
1239C4×D4C23×C8311yescharacteristic
1240C4×D4C23×C8311yescharacteristic
1241#117—21no—
1242#117—21no—
1243#117—21no—
1244#117—21no—
1245#117—21no—
1246#117—21no—
1247#117—21no—
1248#117—21no—
1249#117—21no—
1250#117—21no—
1251#117D4×C8311yescharacteristic
1252#117D4×C8311yescharacteristic
1253#117D4×C8311yescharacteristic
1254#117C23×C8311yescharacteristic
1255#117C23×C8311yescharacteristic
1256C2×C4⋊C4—21no—
1257C2×C4⋊C4—21no—
1258C2×C4⋊C4—21no—
1259C2×C4⋊C4C23×C8311yescharacteristic
1260C2×C4⋊C4C23×C8311yescharacteristic
1261C2×C4⋊C4C23×C8311yescharacteristic
1262C2×C4⋊C4C23×C8311yescharacteristic
1263C2×C22⋊C4—21no—
1264C2×C22⋊C4—21no—
1265C2×C22⋊C4—21no—
1266C2×C22⋊C4—21no—
1267C2×C42—21no—
1268C2×C42—21no—
1269C2×C42—21no—
1270C2×C42—21no—
1271C2×C42C23×C8311yescharacteristic
1272C2×C42C23×C8311yescharacteristic
1273C2×C42C23×C8311yescharacteristic
1274#107C23×C8311yescharacteristic
1275#107C23×C8311yescharacteristic
1276#107C23×C8311yescharacteristic
1277#107C23×C8311yescharacteristic
1278#107C23×C8311yescharacteristic
1279#107C23×C8311yescharacteristic
1280#106C23×C8311yescharacteristic
1281#106C23×C8311yescharacteristic
1282#106C23×C8311yescharacteristic
1283#106C23×C8311yescharacteristic
1284#106C23×C8311yescharacteristic
1285#106C23×C8311yescharacteristic
1286#106C23×C8311yescharacteristic
1287#106C23×C8311yescharacteristic
1288#106C23×C8311yescharacteristic
1289#106C23×C8311yescharacteristic
1290C4⋊C8C23×C8311yescharacteristic
1291C4⋊C8C23×C8311yescharacteristic
1292C4⋊C8C23×C8311yescharacteristic
1293C4⋊C8C23×C8311yescharacteristic
1294C4⋊C8C23×C8311yescharacteristic
1295C4⋊C8C23×C8311yescharacteristic
1296#103C23×C8311yescharacteristic
1297#103C23×C8311yescharacteristic
1298#103C23×C8311yescharacteristic
1299#103C23×C8311yescharacteristic
1300#103C23×C8311yescharacteristic
1301#103C23×C8311yescharacteristic
1302#103C23×C8311yescharacteristic
1303#103C23×C8311yescharacteristic
1304#103C23×C8311yescharacteristic
1305#103C23×C8311yescharacteristic
1306#103C23×C8311yescharacteristic
1307#103C23×C8311yescharacteristic
1308#103C23×C8311yescharacteristic
1309#103C23×C8311yescharacteristic
1310#103C23×C8311yescharacteristic
1311#103C23×C8311yescharacteristic
1312#102C23×C8311yescharacteristic
1313#102C23×C8311yescharacteristic
1314#102C23×C8311yescharacteristic
1315#102C23×C8311yescharacteristic
1316#102C23×C8311yescharacteristic
1317#102C23×C8311yescharacteristic
1318#102C23×C8311yescharacteristic
1319#102C23×C8311yescharacteristic
1320#102C23×C8311yescharacteristic
1321#102C23×C8311yescharacteristic
1322#102C23×C8311yescharacteristic
1323#102C23×C8311yescharacteristic
1324#102C23×C8311yescharacteristic
1325#102C23×C8311yescharacteristic
1326#102C23×C8311yescharacteristic
1327#102C23×C8311yescharacteristic
1328C22⋊C8C23×C8311yescharacteristic
1329C22⋊C8C23×C8311yescharacteristic
1330C22⋊C8C23×C8311yescharacteristic
1331C22⋊C8C23×C8311yescharacteristic
1332C22⋊C8C23×C8311yescharacteristic
1333C22⋊C8C23×C8311yescharacteristic
1334#97C23×C8311yescharacteristic
1335#97C23×C8311yescharacteristic
1336#97C23×C8311yescharacteristic
1337#97C23×C8311yescharacteristic
1338C4×C8C23×C8311yescharacteristic
1339C4×C8C23×C8311yescharacteristic
1340C4×C8C23×C8311yescharacteristic
1341C4×C8C23×C8311yescharacteristic
1342C4×C8C23×C8311yescharacteristic
1343C4×C8C23×C8311yescharacteristic
1344C24—21no—
1345C24—21no—
1346#41—22no—
1347#41—22no—
1348#41—42no—
1349#41—41no—
1350#41—41no—
1351#41—44no—
1352#41—82no—
1353C2×Q8—21no—
1354C2×Q8—21no—
1355C2×Q8—21no—
1356C2×Q8—21no—
1357C2×Q8—22no—
1358C2×Q8—22no—
1359C2×Q8—41no—
1360C2×Q8—41no—
1361C2×Q8C2×D4×C8311yescharacteristic
1362C2×Q8C24×C8311yescharacteristic
1363C2×Q8C24×C8311yescharacteristic
1364C2×Q8C24×C8311yescharacteristic
1365C2×Q8C24×C8311yescharacteristic
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—41no—
1381C2×D4—41no—
1382C2×D4—44no—
1383C2×D4C2×D4×C8311yescharacteristic
1384C2×D4C2×D4×C8311yescharacteristic
1385C2×D4C2×D4×C8311yescharacteristic
1386C2×D4C24×C8311yescharacteristic
1387C2×D4C24×C8311yescharacteristic
1388C2×D4C24×C8311yescharacteristic
1389C2×D4C24×C8311yescharacteristic
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—82no—
1409C22×C4—82no—
1410C22×C4C2×D4×C8311yescharacteristic
1411C22×C4C2×D4×C8311yescharacteristic
1412C22×C4C2×D4×C8311yescharacteristic
1413C22×C4C2×D4×C8311yescharacteristic
1414C22×C4C2×D4×C8311yescharacteristic
1415C22×C4C2×D4×C8311yescharacteristic
1416C22×C4C24×C8311yescharacteristic
1417C22×C4C24×C8311yescharacteristic
1418C22×C4C24×C8311yescharacteristic
1419Q16—22no—
1420Q16—22no—
1421Q16—41no—
1422SD16—22no—
1423SD16—22no—
1424SD16—22no—
1425SD16—22no—
1426SD16—22no—
1427SD16—41no—
1428SD16—41no—
1429SD16—41no—
1430SD16—41no—
1431SD16#41×C8314yescomplemented
1432D8—22no—
1433D8—22no—
1434D8—41no—
1435M16—22no—
1436M16—22no—
1437M16—41no—
1438M16—41no—
1439C2×C8—22no—
1440C2×C8—41no—
1441C2×C8C24×C8311yescharacteristic
1442C2×C8C24×C8311yescharacteristic
1443C2×C8C24×C8311yescharacteristic
1444C2×C8C24×C8311yescharacteristic
1445C2×C8C24×C8311yescharacteristic
1446C2×C8C24×C8311yescharacteristic
1447C2×C8C24×C8311yescharacteristic
1448C2×C8C24×C8311yescharacteristic
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4C2×D4×C8311yescharacteristic
1482C4⋊C4C2×D4×C8311yescharacteristic
1483C4⋊C4C2×D4×C8311yescharacteristic
1484C4⋊C4C2×D4×C8311yescharacteristic
1485C4⋊C4C2×D4×C8311yescharacteristic
1486C4⋊C4C2×D4×C8311yescharacteristic
1487C4⋊C4C24×C8311yescharacteristic
1488C4⋊C4C24×C8311yescharacteristic
1489C4⋊C4C24×C8311yescharacteristic
1490C4⋊C4C24×C8311yescharacteristic
1491C4⋊C4C24×C8311yescharacteristic
1492C4⋊C4C24×C8311yescharacteristic
1493C4⋊C4C24×C8311yescharacteristic
1494C4⋊C4C24×C8311yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4C2×D4×C8311yescharacteristic
1528C22⋊C4C2×D4×C8311yescharacteristic
1529C22⋊C4C2×D4×C8311yescharacteristic
1530C22⋊C4C2×D4×C8311yescharacteristic
1531C22⋊C4C2×D4×C8311yescharacteristic
1532C22⋊C4C2×D4×C8311yescharacteristic
1533C42—21no—
1534C42—21no—
1535C42—21no—
1536C42—21no—
1537C42—21no—
1538C42—21no—
1539C42—21no—
1540C42—21no—
1541C42—21no—
1542C42—21no—
1543C42—21no—
1544C42—21no—
1545C42C2×D4×C8311yescharacteristic
1546C42C2×D4×C8311yescharacteristic
1547C42C2×D4×C8311yescharacteristic
1548C42C2×D4×C8311yescharacteristic
1549C42C2×D4×C8311yescharacteristic
1550C42C2×D4×C8311yescharacteristic
1551C42C24×C8311yescharacteristic
1552C42C24×C8311yescharacteristic
1553C42C24×C8311yescharacteristic
1554C42C24×C8311yescharacteristic
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—42no—
1560C23—42no—
1561C23—42no—
1562C23—42no—
1563C23—81no—
1564C23—81no—
1565C23C22×D4×C8311yescharacteristic
1566C23C22×D4×C8311yescharacteristic
1567C23C22×D4×C8311yescharacteristic
1568Q8—21no—
1569Q8—21no—
1570Q8—21no—
1571Q8—21no—
1572Q8—21no—
1573Q8—21no—
1574Q8—21no—
1575Q8—41no—
1576Q8—42no—
1577Q8—42no—
1578Q8—42no—
1579Q8—81no—
1580Q8C2×#41×C8312yes—
1581D4—22no—
1582D4—22no—
1583D4—21no—
1584D4—21no—
1585D4—21no—
1586D4—21no—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—41no—
1591D4—42no—
1592D4—42no—
1593D4—42no—
1594D4—42no—
1595D4—42no—
1596D4—42no—
1597D4—42no—
1598D4—42no—
1599D4—42no—
1600D4—81no—
1601D4—81no—
1602D4—81no—
1603D4C2×#41×C8312yes—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—42no—
1629C2×C4—42no—
1630C2×C4—42no—
1631C2×C4—42no—
1632C2×C4—42no—
1633C2×C4—42no—
1634C2×C4—42no—
1635C2×C4—42no—
1636C2×C4—42no—
1637C2×C4—42no—
1638C2×C4—42no—
1639C2×C4—42no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4C22×D4×C8311yescharacteristic
1647C2×C4C22×D4×C8311yescharacteristic
1648C2×C4C22×D4×C8311yescharacteristic
1649C2×C4C22×D4×C8311yescharacteristic
1650C2×C4C22×D4×C8311yescharacteristic
1651C2×C4C22×D4×C8311yescharacteristic
1652C2×C4C22×D4×C8311yescharacteristic
1653C2×C4C22×D4×C8311yescharacteristic
1654C2×C4C22×D4×C8311yescharacteristic
1655C2×C4C22×D4×C8311yescharacteristic
1656C2×C4C22×D4×C8311yescharacteristic
1657C2×C4C25×C8311yescharacteristic
1658C8—21no—
1659C8—21no—
1660C8—21no—
1661C8—21no—
1662C8—21no—
1663C8—21no—
1664C8—21no—
1665C8C2×#41×C8312yes—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—22no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—84no—
1687C22—84no—
1688C22#575×C8312yes—
1689C22C23×D4×C8311yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—21no—
1700C4—22no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4#577×C8312yes—
1713C4C22×#41×C8311yescharacteristic
1714C4#585×C8311yescharacteristic
1715C2—22no—
1716C2—41no—
1717C2—41no—
1718C2—42no—
1719C2—81no—
1720C2—81no—
1721C2—81no—
1722C2D4×#41×C8311yescharacteristic
1723C2C2×#575×C8311yescharacteristic
1724C2C2×#577×C8311yescharacteristic
subgroupG/H
centerC2×C4×C83C22×D4
commutator, Frattini, cosocleC2×C4C25×C83
socleC22×C83C23×D4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C83 ◁ C4×#41×C83 ◁ G

Complements

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

NH ≅ G/Ntype
1. C83×#3482C2semidirect
2. C83×#3481C2semidirect
3. C83×#3401C2semidirect
4. C83×#3388C2semidirect
5. C83×#3376C2semidirect
6. C83×#3371C2semidirect
7. C83×#3351C2semidirect
8. C83×#3345C2semidirect
9. C83×#3344C2semidirect
10. C83×#3326C2semidirect
11. C83×#3323C2semidirect
12. C83×#3320C2semidirect
13. C83×#3316C2semidirect
14. C83×#3310C2semidirect
15. C83×#3306C2semidirect
16. C83×#3275C2semidirect
17. C83×#3266C2semidirect
18. C83×#3265C2semidirect
19. C83×#3172C2semidirect
20. C83×#3171C2semidirect
21. C83×#3168C2semidirect
22. C83×#3108C2semidirect
23. C83×#3105C2semidirect
24. C83×#3103C2semidirect
25. C83×#3102C2semidirect
26. C83×#3102C2semidirect
27. C83×#3101C2semidirect
28. C83×#2965C2semidirect
29. C4×#137×C83C2semidirect
30. C4×AGL(1,ℤ/8)×C83C2semidirect
31. C2×C4×SD16×C83C2semidirect
36. #557×C83C22semidirect
38. #556×C83C22semidirect
47. #552×C83C22semidirect
50. D4×Q8×C83C22semidirect
52. #548×C83C22semidirect
54. #547×C83C22semidirect
60. #533×C83C22semidirect
67. #529×C83C22semidirect
68. #529×C83C22semidirect
74. C4×#41×C83C22semidirect
75. C2×C4×Q8×C83C22semidirect
76. C2×C4×Q8×C83C22semidirect
80. #501×C83C22semidirect
81. #501×C83C22semidirect
82. #499×C83C22semidirect
83. #497×C83C22semidirect
85. #495×C83C22semidirect
86. #491×C83C22semidirect
88. #489×C83C22semidirect
89. #489×C83C22semidirect
90. #488×C83C22semidirect
91. #488×C83C22semidirect
92. #485×C83C22semidirect
93. #485×C83C22semidirect
94. #484×C83C22semidirect
95. #483×C83C22semidirect
96. #483×C83C22semidirect
97. #483×C83C22semidirect
99. #482×C83C22semidirect
100. #481×C83C22semidirect
101. #481×C83C22semidirect
102. #481×C83C22semidirect
104. #479×C83C22semidirect
105. #479×C83C22semidirect
106. #479×C83C22semidirect
107. #479×C83C22semidirect
110. #478×C83C22semidirect
111. #478×C83C22semidirect
113. #476×C83C22semidirect
114. #475×C83C22semidirect
115. #475×C83C22semidirect
116. #470×C83C22semidirect
117. #470×C83C22semidirect
118. #469×C83C22semidirect
119. #469×C83C22semidirect
122. #468×C83C22semidirect
123. #468×C83C22semidirect
124. #467×C83C22semidirect
127. #465×C83C22semidirect
128. #464×C83C22semidirect
129. #464×C83C22semidirect
130. #464×C83C22semidirect
131. #464×C83C22semidirect
134. #463×C83C22semidirect
135. #463×C83C22semidirect
137. #461×C83C22semidirect
141. #452×C83C22semidirect
142. #451×C83C22semidirect
149. #448×C83C22semidirect
150. #448×C83C22semidirect
152. #446×C83C22semidirect
153. #446×C83C22semidirect
155. #442×C83C22semidirect
156. #441×C83C22semidirect
157. #441×C83C22semidirect
161. #440×C83C22semidirect
162. C4×Q16×C83C22semidirect
163. C4×Q16×C83C22semidirect
164. C4×Q16×C83C22semidirect
170. C4×SD16×C83C22semidirect
171. C4×SD16×C83C22semidirect
172. C4×SD16×C83C22semidirect
173. C4×SD16×C83C22semidirect
174. C4×SD16×C83C22semidirect
175. C4×SD16×C83C22semidirect
176. C4×SD16×C83C22semidirect
177. C4×SD16×C83C22semidirect
178. C4×SD16×C83C22semidirect
180. C4×D8×C83C22semidirect
181. C4×D8×C83C22semidirect
182. #436×C83C22semidirect
183. #436×C83C22semidirect
186. #435×C83C22semidirect
187. #435×C83C22semidirect
188. #431×C83C22semidirect
189. #431×C83C22semidirect
190. #431×C83C22semidirect
191. #428×C83C22semidirect
192. #428×C83C22semidirect
193. C2×#106×C83C22semidirect
194. #419×C83C22semidirect
197. #417×C83C22semidirect
198. C2×#103×C83C22semidirect
200. C4×M16×C83C22semidirect
201. C4×M16×C83C22semidirect
202. C2×C4×C8×C83C22semidirect
568. SD16×C83#41semidirect
852. #61445C83direct (N × H)
863. #3482C2×C83semidirect
864. #3481C2×C83semidirect
865. #3401C2×C83semidirect
866. #3388C2×C83semidirect
867. #3376C2×C83semidirect
868. #3371C2×C83semidirect
869. #3351C2×C83semidirect
870. #3345C2×C83semidirect
871. #3344C2×C83semidirect
872. #3326C2×C83semidirect
873. #3323C2×C83semidirect
874. #3320C2×C83semidirect
875. #3316C2×C83semidirect
876. #3310C2×C83semidirect
877. #3306C2×C83semidirect
878. #3275C2×C83semidirect
879. #3266C2×C83semidirect
880. #3265C2×C83semidirect
881. #3172C2×C83semidirect
882. #3171C2×C83semidirect
883. #3168C2×C83semidirect
884. #3108C2×C83semidirect
885. #3105C2×C83semidirect
886. #3103C2×C83semidirect
887. #3102C2×C83semidirect
888. #3102C2×C83semidirect
889. #3101C2×C83semidirect
890. #2965C2×C83semidirect
891. C4×#137C2×C83semidirect
892. C4×AGL(1,ℤ/8)C2×C83semidirect
893. C2×C4×SD16C2×C83semidirect
894. C83#61445direct (N × H)
899. #557C22×C83semidirect
901. #556C22×C83semidirect
910. #552C22×C83semidirect
913. D4×Q8C22×C83semidirect
915. #548C22×C83semidirect
917. #547C22×C83semidirect
923. #533C22×C83semidirect
930. #529C22×C83semidirect
931. #529C22×C83semidirect
937. C4×#41C22×C83semidirect
938. C2×C4×Q8C22×C83semidirect
939. C2×C4×Q8C22×C83semidirect
943. #501C22×C83semidirect
944. #501C22×C83semidirect
945. #499C22×C83semidirect
946. #497C22×C83semidirect
948. #495C22×C83semidirect
949. #491C22×C83semidirect
951. #489C22×C83semidirect
952. #489C22×C83semidirect
953. #488C22×C83semidirect
954. #488C22×C83semidirect
955. #485C22×C83semidirect
956. #485C22×C83semidirect
957. #484C22×C83semidirect
958. #483C22×C83semidirect
959. #483C22×C83semidirect
960. #483C22×C83semidirect
962. #482C22×C83semidirect
963. #481C22×C83semidirect
964. #481C22×C83semidirect
965. #481C22×C83semidirect
967. #479C22×C83semidirect
968. #479C22×C83semidirect
969. #479C22×C83semidirect
970. #479C22×C83semidirect
973. #478C22×C83semidirect
974. #478C22×C83semidirect
976. #476C22×C83semidirect
977. #475C22×C83semidirect
978. #475C22×C83semidirect
979. #470C22×C83semidirect
980. #470C22×C83semidirect
981. #469C22×C83semidirect
982. #469C22×C83semidirect
985. #468C22×C83semidirect
986. #468C22×C83semidirect
987. #467C22×C83semidirect
990. #465C22×C83semidirect
991. #464C22×C83semidirect
992. #464C22×C83semidirect
993. #464C22×C83semidirect
994. #464C22×C83semidirect
997. #463C22×C83semidirect
998. #463C22×C83semidirect
1000. #461C22×C83semidirect
1004. #452C22×C83semidirect
1005. #451C22×C83semidirect
1012. #448C22×C83semidirect
1013. #448C22×C83semidirect
1015. #446C22×C83semidirect
1016. #446C22×C83semidirect
1018. #442C22×C83semidirect
1019. #441C22×C83semidirect
1020. #441C22×C83semidirect
1024. #440C22×C83semidirect
1025. C4×Q16C22×C83semidirect
1026. C4×Q16C22×C83semidirect
1027. C4×Q16C22×C83semidirect
1033. C4×SD16C22×C83semidirect
1034. C4×SD16C22×C83semidirect
1035. C4×SD16C22×C83semidirect
1036. C4×SD16C22×C83semidirect
1037. C4×SD16C22×C83semidirect
1038. C4×SD16C22×C83semidirect
1039. C4×SD16C22×C83semidirect
1040. C4×SD16C22×C83semidirect
1041. C4×SD16C22×C83semidirect
1043. C4×D8C22×C83semidirect
1044. C4×D8C22×C83semidirect
1045. #436C22×C83semidirect
1046. #436C22×C83semidirect
1049. #435C22×C83semidirect
1050. #435C22×C83semidirect
1051. #431C22×C83semidirect
1052. #431C22×C83semidirect
1053. #431C22×C83semidirect
1054. #428C22×C83semidirect
1055. #428C22×C83semidirect
1056. C2×#106C22×C83semidirect
1057. #419C22×C83semidirect
1060. #417C22×C83semidirect
1061. C2×#103C22×C83semidirect
1063. C4×M16C22×C83semidirect
1064. C4×M16C22×C83semidirect
1065. C2×C4×C8C22×C83semidirect
1431. SD16#41×C83semidirect

Maximal subgroups

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

subgroupindex
C83×#34822
C83×#34812
C83×#34012
C83×#33882
C83×#33762
C83×#33712
C83×#33512
C83×#33452
C83×#33442
C83×#33262
C83×#33232
C83×#33202
C83×#33162
C83×#33102
C83×#33062
C83×#32752
C83×#32662
C83×#32652
C83×#31722
C83×#31712
C83×#31682
C83×#31082
C83×#31052
C83×#31032
C83×#31022
C83×#31012
C83×#29652
C4×#137×C832
C4×AGL(1,ℤ/8)×C832
C2×C4×SD16×C832
#6144583