Finite Group Databasebeta

← C83×#61654 #35289478

Subgroups — C83×#61654 #35289478

Order 21248.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#3541C211yesmaximal, characteristic, complemented
2C83×#3488C211yesmaximal, characteristic, complemented
3C83×#3333C211yesmaximal, characteristic, complemented
4C83×#3327C211yesmaximal, characteristic, complemented
5C83×#3324C211yesmaximal, characteristic, complemented
6C83×#3322C211yesmaximal, characteristic, complemented
7C83×#3314C211yesmaximal, characteristic, complemented
8C83×#3313C211yesmaximal, characteristic, complemented
9C83×#3310C211yesmaximal, characteristic, complemented
10C83×#3309C211yesmaximal, characteristic, complemented
11C83×#3278C211yesmaximal, characteristic, complemented
12C83×#3277C211yesmaximal, characteristic, complemented
13C83×#3275C211yesmaximal, characteristic, complemented
14C83×#3272C211yesmaximal, characteristic, complemented
15C83×#3271C211yesmaximal, characteristic, complemented
16C83×#3269C211yesmaximal, characteristic, complemented
17C83×#3266C211yesmaximal, characteristic, complemented
18C83×#3265C211yesmaximal, characteristic, complemented
19C83×#3224C211yesmaximal, characteristic, complemented
20C83×#3222C211yesmaximal, characteristic, complemented
21C83×#3203C211yesmaximal, characteristic, complemented
22C83×#3201C211yesmaximal, characteristic, complemented
23C83×#3194C211yesmaximal, characteristic, complemented
24C83×#3193C211yesmaximal, characteristic, complemented
25C83×#3124C211yesmaximal, characteristic, complemented
26C83×#3120C211yesmaximal, characteristic, complemented
27C83×#3012C211yesmaximal, characteristic, complemented
28C83×#3009C211yesmaximal, characteristic, complemented
29C83×#3007C211yesmaximal, characteristic, complemented
30C83×#3005C211yesmaximal, characteristic, complemented
31C83×#2978C211yesmaximal, characteristic, complemented
32C2×H(5,𝔽2)×C83C2211yescharacteristic
33C22×#41×C83C2211yescharacteristic
34C2×#137×C83C2211yescharacteristic, complemented
35C2×#137×C83C2211yescharacteristic, complemented
36C2×#137×C83C2211yescharacteristic, complemented
37C2×#137×C83C2211yescharacteristic, complemented
38C2×AGL(1,ℤ/8)×C83C2211yescharacteristic, complemented
39C2×AGL(1,ℤ/8)×C83C2211yescharacteristic, complemented
40C2×#135×C83C2211yescharacteristic, complemented
41C22×SD16×C83C2211yescharacteristic, complemented
42#563×C83—21no—
43#562×C83—21no—
44#556×C83C2211yescharacteristic, complemented
45#554×C83—21no—
46#554×C83C2211yescharacteristic, complemented
47#553×C83—21no—
48#553×C83C2211yescharacteristic, complemented
49#552×C83C2211yescharacteristic, complemented
50#550×C83C2211yescharacteristic
51#550×C83C2211yescharacteristic
52D4×Q8×C83C2211yescharacteristic, complemented
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×C83C2211yescharacteristic
61#546×C83C2211yescharacteristic
62D42×C83—21no—
63D42×C83—21no—
64D42×C83C2211yescharacteristic
65D42×C83C2211yescharacteristic
66#542×C83—21no—
67#542×C83C2211yescharacteristic, complemented
68#541×C83C2211yescharacteristic, complemented
69#539×C83—21no—
70#538×C83—21no—
71#538×C83—21no—
72#537×C83—21no—
73#537×C83C2211yescharacteristic
74#537×C83C2211yescharacteristic, complemented
75#536×C83C2211yescharacteristic, complemented
76#535×C83—21no—
77#535×C83C2211yescharacteristic
78#525×C83—21no—
79#525×C83C2211yescharacteristic
80#525×C83C2211yescharacteristic, complemented
81C2×C22⋊Q8×C83C2211yescharacteristic, complemented
82C2×#121×C83—21no—
83C2×#121×C83C2211yescharacteristic
84#520×C83C2211yescharacteristic
85#497×C83C2211yescharacteristic, complemented
86#496×C83C2211yescharacteristic, complemented
87#495×C83C2211yescharacteristic, complemented
88#492×C83C2211yescharacteristic, complemented
89#490×C83C2211yescharacteristic, complemented
90#489×C83C2211yescharacteristic, complemented
91#488×C83C2211yescharacteristic, complemented
92#486×C83C2211yescharacteristic, complemented
93#485×C83C2211yescharacteristic, complemented
94#484×C83C2211yescharacteristic, complemented
95#484×C83C2211yescharacteristic, complemented
96#484×C83C2211yescharacteristic, complemented
97#483×C83C2211yescharacteristic, complemented
98#482×C83C2211yescharacteristic, complemented
99#482×C83C2211yescharacteristic, complemented
100#482×C83C2211yescharacteristic, complemented
101#480×C83C2211yescharacteristic, complemented
102#480×C83C2211yescharacteristic, complemented
103#480×C83C2211yescharacteristic, complemented
104#480×C83C2211yescharacteristic, complemented
105#479×C83C2211yescharacteristic, complemented
106#478×C83C2211yescharacteristic, complemented
107#477×C83C2211yescharacteristic, complemented
108#474×C83C2211yescharacteristic, complemented
109#470×C83C2211yescharacteristic, complemented
110#469×C83C2211yescharacteristic, complemented
111#469×C83C2211yescharacteristic, complemented
112#468×C83C2211yescharacteristic, complemented
113#468×C83C2211yescharacteristic, complemented
114#468×C83C2211yescharacteristic, complemented
115#468×C83C2211yescharacteristic, complemented
116#468×C83C2211yescharacteristic, complemented
117#468×C83C2211yescharacteristic, complemented
118#468×C83C2211yescharacteristic, complemented
119#468×C83C2211yescharacteristic, complemented
120#468×C83C2211yescharacteristic, complemented
121#467×C83C2211yescharacteristic, complemented
122#467×C83C2211yescharacteristic, complemented
123#466×C83C2211yescharacteristic, complemented
124#465×C83C2211yescharacteristic, complemented
125#464×C83C2211yescharacteristic, complemented
126#464×C83C2211yescharacteristic, complemented
127#464×C83C2211yescharacteristic, complemented
128#464×C83C2211yescharacteristic, complemented
129#463×C83C2211yescharacteristic, complemented
130#463×C83C2211yescharacteristic, complemented
131#462×C83C2211yescharacteristic, complemented
132#461×C83C2211yescharacteristic, complemented
133#460×C83C2211yescharacteristic, complemented
134#460×C83C2211yescharacteristic, complemented
135#460×C83C2211yescharacteristic, complemented
136#459×C83C2211yescharacteristic, complemented
137#452×C83C2211yescharacteristic
138#452×C83C2211yescharacteristic
139#452×C83C2211yescharacteristic
140#452×C83C2211yescharacteristic, complemented
141#452×C83C2211yescharacteristic, complemented
142#452×C83C2211yescharacteristic, complemented
143#452×C83C2211yescharacteristic, complemented
144#452×C83C2211yescharacteristic, complemented
145#452×C83C2211yescharacteristic, complemented
146#452×C83C2211yescharacteristic, complemented
147#452×C83C2211yescharacteristic, complemented
148#452×C83C2211yescharacteristic, complemented
149#451×C83C2211yescharacteristic, complemented
150#451×C83C2211yescharacteristic, complemented
151#451×C83C2211yescharacteristic, complemented
152#450×C83C2211yescharacteristic, complemented
153#450×C83C2211yescharacteristic, complemented
154#450×C83C2211yescharacteristic, complemented
155#450×C83C2211yescharacteristic, complemented
156#450×C83C2211yescharacteristic, complemented
157#450×C83C2211yescharacteristic, complemented
158#450×C83C2211yescharacteristic, complemented
159#450×C83C2211yescharacteristic, complemented
160#449×C83C2211yescharacteristic
161#449×C83C2211yescharacteristic, complemented
162#449×C83C2211yescharacteristic, complemented
163#449×C83C2211yescharacteristic, complemented
164#449×C83C2211yescharacteristic, complemented
165#449×C83C2211yescharacteristic, complemented
166#449×C83C2211yescharacteristic, complemented
167#449×C83C2211yescharacteristic, complemented
168#448×C83C2211yescharacteristic, complemented
169#448×C83C2211yescharacteristic, complemented
170#448×C83C2211yescharacteristic, complemented
171#447×C83C2211yescharacteristic, complemented
172#447×C83C2211yescharacteristic, complemented
173#441×C83C2211yescharacteristic, complemented
174#440×C83C2211yescharacteristic, complemented
175#440×C83C2211yescharacteristic, complemented
176#440×C83C2211yescharacteristic, complemented
177C4×Q16×C83C2211yescharacteristic, complemented
178C4×Q16×C83C2211yescharacteristic, complemented
179C4×SD16×C83C2211yescharacteristic, complemented
180C4×D8×C83C2211yescharacteristic, complemented
181#436×C83C2211yescharacteristic, complemented
182#436×C83C2211yescharacteristic, complemented
183#436×C83C2211yescharacteristic, complemented
184#436×C83C2211yescharacteristic, complemented
185#435×C83C2211yescharacteristic, complemented
186#435×C83C2211yescharacteristic, complemented
187#435×C83C2211yescharacteristic, complemented
188#435×C83C2211yescharacteristic, complemented
189#433×C83C2211yescharacteristic, complemented
190#433×C83C2211yescharacteristic, complemented
191#419×C83C2211yescharacteristic, complemented
192#418×C83C2211yescharacteristic, complemented
193#418×C83C2211yescharacteristic, complemented
194#417×C83C2211yescharacteristic, complemented
195#417×C83C2211yescharacteristic, complemented
196#417×C83C2211yescharacteristic, complemented
197#416×C83C2211yescharacteristic, complemented
198C2×#102×C83C2211yescharacteristic, complemented
199#408×C83C2211yescharacteristic, complemented
200#408×C83C2211yescharacteristic, complemented
201#407×C83C2211yescharacteristic, complemented
202#407×C83C2211yescharacteristic, complemented
203H(5,𝔽2)×C83—42no—
204H(5,𝔽2)×C83—42no—
205C2×#41×C83—21no—
206C2×#41×C83—21no—
207C2×#41×C83—21no—
208C2×#41×C83—42no—
209C2×#41×C83—42no—
210C2×#41×C83C2311yescharacteristic
211C2×#41×C83C2311yescharacteristic
212C2×#41×C83C2311yescharacteristic
213C2×#41×C83C2311yescharacteristic
214C2×#41×C83C2311yescharacteristic
215C2×#41×C83C2311yescharacteristic
216C2×#41×C83C2311yescharacteristic
217C2×#41×C83C2311yescharacteristic
218C2×#41×C83C2311yescharacteristic
219C22×Q8×C83C2311yescharacteristic
220C22×Q8×C83C2311yescharacteristic
221C22×Q8×C83C2311yescharacteristic
222C22×D4×C83—21no—
223C22×D4×C83—21no—
224C22×D4×C83—21no—
225C22×D4×C83—21no—
226C22×D4×C83—21no—
227C22×D4×C83—21no—
228C22×D4×C83—21no—
229C22×D4×C83C2311yescharacteristic
230C22×D4×C83C2311yescharacteristic
231C22×D4×C83C2311yescharacteristic
232C22×D4×C83C2311yescharacteristic
233C23×C4×C83—21no—
234C23×C4×C83C2311yescharacteristic
235#137×C83—42no—
236#137×C83—42no—
237#137×C83—42no—
238#137×C83—42no—
239AGL(1,ℤ/8)×C83—42no—
240AGL(1,ℤ/8)×C83—42no—
241#135×C83—42no—
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×SD16×C83C2311yescharacteristic
262C2×SD16×C83C2311yescharacteristic
263C2×D8×C83C2311yescharacteristic
264C2×D8×C83C2311yescharacteristic
265C2×D8×C83C2311yescharacteristic
266C2×D8×C83C2311yescharacteristic
267C2×M16×C83C2311yescharacteristic
268C2×M16×C83C2311yescharacteristic
269C2×M16×C83C2311yescharacteristic
270C2×M16×C83C2311yescharacteristic
271C2×M16×C83C2311yescharacteristic
272C2×M16×C83C2311yescharacteristic
273C22×C8×C83C2311yescharacteristic
274C22×C8×C83C2311yescharacteristic
275C4⋊Q8×C83—21no—
276C4⋊Q8×C83—21no—
277C4⋊Q8×C83C2311yescharacteristic
278C4⋊Q8×C83C2311yescharacteristic
279#127×C83—21no—
280#127×C83—21no—
281#127×C83C2311yescharacteristic
282#127×C83C2311yescharacteristic
283#126×C83—21no—
284#126×C83—21no—
285#126×C83—21no—
286#126×C83—21no—
287#126×C83—21no—
288#126×C83—21no—
289#126×C83—21no—
290#125×C83—21no—
291#125×C83—21no—
292#125×C83—21no—
293#125×C83—21no—
294#125×C83C2311yescharacteristic
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×C83C2311yescharacteristic
303#124×C83C2311yescharacteristic
304#124×C83C2311yescharacteristic
305#123×C83—21no—
306#123×C83—21no—
307#123×C83—21no—
308#123×C83—21no—
309#123×C83—21no—
310#123×C83—21no—
311#123×C83—21no—
312#123×C83—21no—
313#123×C83—21no—
314#123×C83—21no—
315#123×C83D411yescharacteristic
316#123×C83D411yescharacteristic
317C22⋊Q8×C83—21no—
318C22⋊Q8×C83—21no—
319C22⋊Q8×C83—21no—
320C22⋊Q8×C83—21no—
321C22⋊Q8×C83—21no—
322C22⋊Q8×C83—21no—
323C22⋊Q8×C83—21no—
324C22⋊Q8×C83—21no—
325C22⋊Q8×C83—21no—
326C22⋊Q8×C83—21no—
327C22⋊Q8×C83—21no—
328C22⋊Q8×C83—21no—
329C22⋊Q8×C83—21no—
330C22⋊Q8×C83D411yescharacteristic
331C22⋊Q8×C83D411yescharacteristic
332C22⋊Q8×C83C2311yescharacteristic
333C22⋊Q8×C83C2311yescharacteristic
334C22⋊Q8×C83C2311yescharacteristic
335C22⋊Q8×C83C2311yescharacteristic
336C22⋊Q8×C83C2311yescharacteristic
337C22⋊Q8×C83C2311yescharacteristic
338C22⋊Q8×C83C2311yescharacteristic
339C22⋊Q8×C83C2311yescharacteristic
340C22⋊Q8×C83C2311yescharacteristic
341C22⋊Q8×C83C2311yescharacteristic
342C22⋊Q8×C83C2311yescharacteristic
343#121×C83—21no—
344#121×C83—21no—
345#121×C83—21no—
346#121×C83—21no—
347#121×C83—21no—
348#121×C83—21no—
349#121×C83—21no—
350#121×C83—21no—
351#121×C83—21no—
352#121×C83—21no—
353#121×C83—21no—
354#121×C83—21no—
355#121×C83—21no—
356#121×C83—21no—
357#121×C83—21no—
358#121×C83—21no—
359#121×C83—21no—
360#121×C83—21no—
361#121×C83—21no—
362#121×C83—21no—
363#121×C83—21no—
364#121×C83—21no—
365#121×C83—21no—
366#121×C83—21no—
367#121×C83D411yescharacteristic
368#121×C83D411yescharacteristic
369#121×C83C2311yescharacteristic
370#121×C83C2311yescharacteristic
371#121×C83C2311yescharacteristic
372#121×C83C2311yescharacteristic
373#121×C83C2311yescharacteristic
374#121×C83C2311yescharacteristic
375#121×C83C2311yescharacteristic
376#121×C83C2311yescharacteristic
377#121×C83C2311yescharacteristic
378#120×C83—21no—
379#120×C83—21no—
380#120×C83—21no—
381#120×C83—21no—
382#120×C83—21no—
383#120×C83—21no—
384#120×C83—21no—
385#120×C83—21no—
386#120×C83—21no—
387#120×C83D411yescharacteristic
388#120×C83D411yescharacteristic
389C4×Q8×C83—21no—
390C4×Q8×C83C2311yescharacteristic
391C4×Q8×C83C2311yescharacteristic
392C4×Q8×C83C2311yescharacteristic
393C4×Q8×C83C2311yescharacteristic
394C4×Q8×C83C2311yescharacteristic
395C4×D4×C83—21no—
396C4×D4×C83—21no—
397C4×D4×C83—21no—
398C4×D4×C83—21no—
399C4×D4×C83—21no—
400C4×D4×C83—21no—
401C4×D4×C83—21no—
402C4×D4×C83—21no—
403C4×D4×C83—21no—
404C4×D4×C83—21no—
405C4×D4×C83—21no—
406C4×D4×C83—21no—
407C4×D4×C83—21no—
408C4×D4×C83C2311yescharacteristic
409C4×D4×C83C2311yescharacteristic
410C4×D4×C83C2311yescharacteristic
411C4×D4×C83C2311yescharacteristic
412C4×D4×C83C2311yescharacteristic
413C4×D4×C83C2311yescharacteristic
414C4×D4×C83C2311yescharacteristic
415#117×C83—21no—
416#117×C83—21no—
417#117×C83C2311yescharacteristic
418#117×C83C2311yescharacteristic
419#117×C83C2311yescharacteristic
420C2×C4⋊C4×C83—21no—
421C2×C4⋊C4×C83—21no—
422C2×C4⋊C4×C83—21no—
423C2×C4⋊C4×C83C2311yescharacteristic
424C2×C4⋊C4×C83C2311yescharacteristic
425C2×C4⋊C4×C83C2311yescharacteristic
426C2×C22⋊C4×C83—21no—
427C2×C22⋊C4×C83—21no—
428C2×C22⋊C4×C83—21no—
429C2×C22⋊C4×C83—21no—
430#107×C83C2311yescharacteristic
431#107×C83C2311yescharacteristic
432#107×C83C2311yescharacteristic
433#107×C83C2311yescharacteristic
434#107×C83C2311yescharacteristic
435#107×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#102×C83C2311yescharacteristic
457#102×C83C2311yescharacteristic
458#102×C83C2311yescharacteristic
459#102×C83C2311yescharacteristic
460#102×C83C2311yescharacteristic
461#102×C83C2311yescharacteristic
462#102×C83C2311yescharacteristic
463#102×C83C2311yescharacteristic
464#102×C83C2311yescharacteristic
465#102×C83C2311yescharacteristic
466#102×C83C2311yescharacteristic
467#102×C83C2311yescharacteristic
468#102×C83C2311yescharacteristic
469#102×C83C2311yescharacteristic
470#102×C83C2311yescharacteristic
471#102×C83C2311yescharacteristic
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—
493C24×C83—21no—
494C24×C83C2×D411yescharacteristic
495#41×C83—22no—
496#41×C83—22no—
497#41×C83—22no—
498#41×C83—22no—
499#41×C83—22no—
500#41×C83—22no—
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—41no—
508#41×C83—41no—
509#41×C83—44no—
510#41×C83—44no—
511#41×C83—41no—
512#41×C83—41no—
513#41×C83—41no—
514#41×C83—41no—
515#41×C83—44no—
516C2×Q8×C83—21no—
517C2×Q8×C83—21no—
518C2×Q8×C83—21no—
519C2×Q8×C83—21no—
520C2×Q8×C83—22no—
521C2×Q8×C83—41no—
522C2×Q8×C83—41no—
523C2×Q8×C83—41no—
524C2×Q8×C83—41no—
525C2×Q8×C83—41no—
526C2×Q8×C83C2×D411yescharacteristic
527C2×Q8×C83C2411yescharacteristic
528C2×Q8×C83C2411yescharacteristic
529C2×Q8×C83C2411yescharacteristic
530C2×Q8×C83C2411yescharacteristic
531C2×Q8×C83C2411yescharacteristic
532C2×D4×C83—21no—
533C2×D4×C83—22no—
534C2×D4×C83—22no—
535C2×D4×C83—22no—
536C2×D4×C83—21no—
537C2×D4×C83—21no—
538C2×D4×C83—21no—
539C2×D4×C83—21no—
540C2×D4×C83—21no—
541C2×D4×C83—21no—
542C2×D4×C83—21no—
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—21no—
560C2×D4×C83—41no—
561C2×D4×C83—41no—
562C2×D4×C83—41no—
563C2×D4×C83—41no—
564C2×D4×C83—41no—
565C2×D4×C83—44no—
566C2×D4×C83—44no—
567C2×D4×C83—44no—
568C2×D4×C83—44no—
569C2×D4×C83—82no—
570C2×D4×C83—82no—
571C2×D4×C83—82no—
572C2×D4×C83C2×D411yescharacteristic
573C2×D4×C83C2×D411yescharacteristic
574C2×D4×C83C2×D411yescharacteristic
575C2×D4×C83C2×D411yescharacteristic
576C2×D4×C83C2×D411yescharacteristic
577C2×D4×C83C2×D411yescharacteristic
578C2×D4×C83C2×D411yescharacteristic
579C2×D4×C83C2411yescharacteristic
580C2×D4×C83C2411yescharacteristic
581C2×D4×C83C2411yescharacteristic
582C2×D4×C83C2411yescharacteristic
583C2×D4×C83C2411yescharacteristic
584C22×C4×C83—21no—
585C22×C4×C83—21no—
586C22×C4×C83—21no—
587C22×C4×C83—21no—
588C22×C4×C83—21no—
589C22×C4×C83—21no—
590C22×C4×C83—21no—
591C22×C4×C83—21no—
592C22×C4×C83—21no—
593C22×C4×C83—21no—
594C22×C4×C83—21no—
595C22×C4×C83—21no—
596C22×C4×C83—21no—
597C22×C4×C83—21no—
598C22×C4×C83—21no—
599C22×C4×C83—21no—
600C22×C4×C83—21no—
601C22×C4×C83—41no—
602C22×C4×C83—41no—
603C22×C4×C83—44no—
604C22×C4×C83C2×D411yescharacteristic
605C22×C4×C83C2×D411yescharacteristic
606C22×C4×C83C2×D411yescharacteristic
607C22×C4×C83C2411yescharacteristic
608C22×C4×C83C2411yescharacteristic
609C22×C4×C83C2411yescharacteristic
610C22×C4×C83C2411yescharacteristic
611C22×C4×C83C2411yescharacteristic
612Q16×C83—22no—
613Q16×C83—22no—
614Q16×C83—22no—
615Q16×C83—41no—
616Q16×C83—41no—
617Q16×C83—41no—
618SD16×C83—22no—
619SD16×C83—22no—
620SD16×C83—22no—
621SD16×C83—22no—
622SD16×C83—41no—
623SD16×C83—41no—
624SD16×C83—41no—
625SD16×C83—41no—
626SD16×C83—41no—
627SD16×C83—41no—
628SD16×C83—41no—
629SD16×C83—41no—
630SD16×C83—41no—
631SD16×C83—41no—
632D8×C83—22no—
633D8×C83—41no—
634D8×C83—41no—
635D8×C83—41no—
636M16×C83—41no—
637M16×C83—41no—
638M16×C83—41no—
639M16×C83—41no—
640M16×C83—41no—
641M16×C83—41no—
642C2×C8×C83—41no—
643C2×C8×C83—41no—
644C2×C8×C83C2411yescharacteristic
645C2×C8×C83C2411yescharacteristic
646C2×C8×C83C2411yescharacteristic
647C2×C8×C83C2411yescharacteristic
648C2×C8×C83C2411yescharacteristic
649C2×C8×C83C2411yescharacteristic
650C2×C8×C83C2411yescharacteristic
651C2×C8×C83C2411yescharacteristic
652C4⋊C4×C83—21no—
653C4⋊C4×C83—21no—
654C4⋊C4×C83—21no—
655C4⋊C4×C83—21no—
656C4⋊C4×C83—21no—
657C4⋊C4×C83—21no—
658C4⋊C4×C83—21no—
659C4⋊C4×C83—21no—
660C4⋊C4×C83—21no—
661C4⋊C4×C83—21no—
662C4⋊C4×C83—21no—
663C4⋊C4×C83—21no—
664C4⋊C4×C83—21no—
665C4⋊C4×C83—21no—
666C4⋊C4×C83—21no—
667C4⋊C4×C83—21no—
668C4⋊C4×C83—21no—
669C4⋊C4×C83—21no—
670C4⋊C4×C83—21no—
671C4⋊C4×C83—21no—
672C4⋊C4×C83—21no—
673C4⋊C4×C83—21no—
674C4⋊C4×C83—21no—
675C4⋊C4×C83—21no—
676C4⋊C4×C83C2×D411yescharacteristic
677C4⋊C4×C83C2×D411yescharacteristic
678C4⋊C4×C83C2×D411yescharacteristic
679C4⋊C4×C83C2×D411yescharacteristic
680C4⋊C4×C83C2×D411yescharacteristic
681C4⋊C4×C83C2×D411yescharacteristic
682C4⋊C4×C83C2411yescharacteristic
683C4⋊C4×C83C2411yescharacteristic
684C4⋊C4×C83C2411yescharacteristic
685C4⋊C4×C83C2411yescharacteristic
686C4⋊C4×C83C2411yescharacteristic
687C4⋊C4×C83C2411yescharacteristic
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×C83—21no—
716C22⋊C4×C83—21no—
717C22⋊C4×C83—21no—
718C22⋊C4×C83—21no—
719C22⋊C4×C83C2×D411yescharacteristic
720C22⋊C4×C83C2×D411yescharacteristic
721C22⋊C4×C83C2×D411yescharacteristic
722C22⋊C4×C83C2×D411yescharacteristic
723C22⋊C4×C83C2×D411yescharacteristic
724C22⋊C4×C83C2×D411yescharacteristic
725C22⋊C4×C83C2×D411yescharacteristic
726C22⋊C4×C83C2×D411yescharacteristic
727C22⋊C4×C83C2×D411yescharacteristic
728C22⋊C4×C83C2×D411yescharacteristic
729C42×C83—21no—
730C42×C83—21no—
731C42×C83—21no—
732C42×C83—21no—
733C42×C83—21no—
734C42×C83—21no—
735C42×C83—21no—
736C42×C83C2411yescharacteristic
737C42×C83C2411yescharacteristic
738C23×C83—21no—
739C23×C83—21no—
740C23×C83—21no—
741C23×C83—21no—
742C23×C83—21no—
743C23×C83—41no—
744C23×C83—41no—
745C23×C83—41no—
746C23×C83—42no—
747C23×C83—42no—
748C23×C83—42no—
749C23×C83—42no—
750C23×C83—42no—
751C23×C83—81no—
752C23×C83—81no—
753C23×C83—81no—
754C23×C83—81no—
755C23×C83—81no—
756C23×C83—81no—
757C23×C83—81no—
758C23×C83C22×D411yescharacteristic
759C23×C83C22×D411yescharacteristic
760C23×C83C22×D411yescharacteristic
761C23×C83C22×D411yescharacteristic
762C23×C83C22×D411yescharacteristic
763Q8×C83—21no—
764Q8×C83—21no—
765Q8×C83—21no—
766Q8×C83—21no—
767Q8×C83—21no—
768Q8×C83—21no—
769Q8×C83—21no—
770Q8×C83—21no—
771Q8×C83—21no—
772Q8×C83—41no—
773Q8×C83—42no—
774Q8×C83—81no—
775Q8×C83—81no—
776Q8×C83—81no—
777Q8×C83H(5,𝔽2)12yes—
778D4×C83—24no—
779D4×C83—21no—
780D4×C83—21no—
781D4×C83—21no—
782D4×C83—21no—
783D4×C83—21no—
784D4×C83—21no—
785D4×C83—21no—
786D4×C83—21no—
787D4×C83—21no—
788D4×C83—41no—
789D4×C83—41no—
790D4×C83—41no—
791D4×C83—41no—
792D4×C83—41no—
793D4×C83—41no—
794D4×C83—41no—
795D4×C83—42no—
796D4×C83—42no—
797D4×C83—42no—
798D4×C83—42no—
799D4×C83—42no—
800D4×C83—42no—
801D4×C83—42no—
802D4×C83—42no—
803D4×C83—42no—
804D4×C83—42no—
805D4×C83—42no—
806D4×C83—42no—
807D4×C83—81no—
808D4×C83—81no—
809D4×C83—81no—
810D4×C83—81no—
811D4×C83—81no—
812D4×C83—81no—
813D4×C83—81no—
814D4×C83—81no—
815D4×C83—81no—
816D4×C83—81no—
817D4×C83—81no—
818D4×C83—81no—
819D4×C83H(5,𝔽2)12yes—
820C2×C4×C83—24no—
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—21no—
832C2×C4×C83—21no—
833C2×C4×C83—21no—
834C2×C4×C83—21no—
835C2×C4×C83—21no—
836C2×C4×C83—21no—
837C2×C4×C83—21no—
838C2×C4×C83—21no—
839C2×C4×C83—21no—
840C2×C4×C83—21no—
841C2×C4×C83—21no—
842C2×C4×C83—41no—
843C2×C4×C83—41no—
844C2×C4×C83—41no—
845C2×C4×C83—42no—
846C2×C4×C83—42no—
847C2×C4×C83—42no—
848C2×C4×C83—42no—
849C2×C4×C83—42no—
850C2×C4×C83—42no—
851C2×C4×C83—81no—
852C2×C4×C83—81no—
853C2×C4×C83—81no—
854C2×C4×C83—81no—
855C2×C4×C83—81no—
856C2×C4×C83—81no—
857C2×C4×C83—81no—
858C2×C4×C83—81no—
859C2×C4×C83—81no—
860C2×C4×C83—81no—
861C2×C4×C83C22×D411yescharacteristic
862C2×C4×C83C22×D411yescharacteristic
863C2×C4×C83C22×D411yescharacteristic
864C2×C4×C83C22×D411yescharacteristic
865C2×C4×C83C22×D411yescharacteristic
866C2×C4×C83C22×D411yescharacteristic
867C2×C4×C83C22×D411yescharacteristic
868C2×C4×C83C22×D411yescharacteristic
869C2×C4×C83C22×D411yescharacteristic
870C2×C4×C83C2511yescharacteristic
871C8×C83—21no—
872C8×C83—21no—
873C8×C83—21no—
874C8×C83—21no—
875C8×C83—21no—
876C8×C83—21no—
877C8×C83—21no—
878C8×C83—21no—
879C22×C83—21no—
880C22×C83—21no—
881C22×C83—21no—
882C22×C83—21no—
883C22×C83—21no—
884C22×C83—21no—
885C22×C83—21no—
886C22×C83—21no—
887C22×C83—21no—
888C22×C83—21no—
889C22×C83—21no—
890C22×C83—21no—
891C22×C83—21no—
892C22×C83—22no—
893C22×C83—21no—
894C22×C83—21no—
895C22×C83—41no—
896C22×C83—41no—
897C22×C83—41no—
898C22×C83—41no—
899C22×C83—41no—
900C22×C83—41no—
901C22×C83—41no—
902C22×C83—41no—
903C22×C83—41no—
904C22×C83—41no—
905C22×C83—41no—
906C22×C83—41no—
907C22×C83—41no—
908C22×C83—41no—
909C22×C83—82no—
910C22×C83—84no—
911C22×C83—162no—
912C22×C83—162no—
913C22×C83—162no—
914C22×C83C23×D411yescharacteristic
915C4×C83—21no—
916C4×C83—21no—
917C4×C83—21no—
918C4×C83—21no—
919C4×C83—21no—
920C4×C83—22no—
921C4×C83—21no—
922C4×C83—21no—
923C4×C83—21no—
924C4×C83—21no—
925C4×C83—41no—
926C4×C83—41no—
927C4×C83—41no—
928C4×C83—41no—
929C4×C83—41no—
930C4×C83—41no—
931C4×C83—41no—
932C4×C83—41no—
933C4×C83—41no—
934C4×C83—41no—
935C4×C83C2×H(5,𝔽2)11yescharacteristic
936C4×C83C2×H(5,𝔽2)11yescharacteristic
937#61654C8311yesmaximal, characteristic, direct product factor, Sylow
938C2×C83—41no—
939C2×C83—41no—
940C2×C83—41no—
941C2×C83—41no—
942C2×C83—41no—
943C2×C83—42no—
944C2×C83—81no—
945C2×C83—81no—
946C2×C83—81no—
947C2×C83—81no—
948C2×C83#348411yescharacteristic
949C2×C83#358511yescharacteristic
950C2×C83#358611yescharacteristic
951#3541C2×C8311yescharacteristic, complemented
952#3488C2×C8311yescharacteristic, complemented
953#3333C2×C8311yescharacteristic, complemented
954#3327C2×C8311yescharacteristic, complemented
955#3324C2×C8311yescharacteristic, complemented
956#3322C2×C8311yescharacteristic, complemented
957#3314C2×C8311yescharacteristic, complemented
958#3313C2×C8311yescharacteristic, complemented
959#3310C2×C8311yescharacteristic, complemented
960#3309C2×C8311yescharacteristic, complemented
961#3278C2×C8311yescharacteristic, complemented
962#3277C2×C8311yescharacteristic, complemented
963#3275C2×C8311yescharacteristic, complemented
964#3272C2×C8311yescharacteristic, complemented
965#3271C2×C8311yescharacteristic, complemented
966#3269C2×C8311yescharacteristic, complemented
967#3266C2×C8311yescharacteristic, complemented
968#3265C2×C8311yescharacteristic, complemented
969#3224C2×C8311yescharacteristic, complemented
970#3222C2×C8311yescharacteristic, complemented
971#3203C2×C8311yescharacteristic, complemented
972#3201C2×C8311yescharacteristic, complemented
973#3194C2×C8311yescharacteristic, complemented
974#3193C2×C8311yescharacteristic, complemented
975#3124C2×C8311yescharacteristic, complemented
976#3120C2×C8311yescharacteristic, complemented
977#3012C2×C8311yescharacteristic, complemented
978#3009C2×C8311yescharacteristic, complemented
979#3007C2×C8311yescharacteristic, complemented
980#3005C2×C8311yescharacteristic, complemented
981#2978C2×C8311yescharacteristic, complemented
982C83#6165411yescharacteristic, direct product factor, Sylow
983C2×H(5,𝔽2)C22×C8311yescharacteristic
984C22×#41C22×C8311yescharacteristic
985C2×#137C22×C8311yescharacteristic, complemented
986C2×#137C22×C8311yescharacteristic, complemented
987C2×#137C22×C8311yescharacteristic, complemented
988C2×#137C22×C8311yescharacteristic, complemented
989C2×AGL(1,ℤ/8)C22×C8311yescharacteristic, complemented
990C2×AGL(1,ℤ/8)C22×C8311yescharacteristic, complemented
991C2×#135C22×C8311yescharacteristic, complemented
992C22×SD16C22×C8311yescharacteristic, complemented
993#563—21no—
994#562—21no—
995#556C22×C8311yescharacteristic, complemented
996#554—21no—
997#554C22×C8311yescharacteristic, complemented
998#553—21no—
999#553C22×C8311yescharacteristic, complemented
1000#552C22×C8311yescharacteristic, complemented
1001#550C22×C8311yescharacteristic
1002#550C22×C8311yescharacteristic
1003D4×Q8C22×C8311yescharacteristic, complemented
1004#548C22×C8311yescharacteristic
1005#548C22×C8311yescharacteristic
1006#548C22×C8311yescharacteristic, complemented
1007#548C22×C8311yescharacteristic, complemented
1008#547C22×C8311yescharacteristic, complemented
1009#546—21no—
1010#546—21no—
1011#546C22×C8311yescharacteristic
1012#546C22×C8311yescharacteristic
1013D42—21no—
1014D42—21no—
1015D42C22×C8311yescharacteristic
1016D42C22×C8311yescharacteristic
1017#542—21no—
1018#542C22×C8311yescharacteristic, complemented
1019#541C22×C8311yescharacteristic, complemented
1020#539—21no—
1021#538—21no—
1022#538—21no—
1023#537—21no—
1024#537C22×C8311yescharacteristic
1025#537C22×C8311yescharacteristic, complemented
1026#536C22×C8311yescharacteristic, complemented
1027#535—21no—
1028#535C22×C8311yescharacteristic
1029#525—21no—
1030#525C22×C8311yescharacteristic
1031#525C22×C8311yescharacteristic, complemented
1032C2×C22⋊Q8C22×C8311yescharacteristic, complemented
1033C2×#121—21no—
1034C2×#121C22×C8311yescharacteristic
1035#520C22×C8311yescharacteristic
1036#497C22×C8311yescharacteristic, complemented
1037#496C22×C8311yescharacteristic, complemented
1038#495C22×C8311yescharacteristic, complemented
1039#492C22×C8311yescharacteristic, complemented
1040#490C22×C8311yescharacteristic, complemented
1041#489C22×C8311yescharacteristic, complemented
1042#488C22×C8311yescharacteristic, complemented
1043#486C22×C8311yescharacteristic, complemented
1044#485C22×C8311yescharacteristic, complemented
1045#484C22×C8311yescharacteristic, complemented
1046#484C22×C8311yescharacteristic, complemented
1047#484C22×C8311yescharacteristic, complemented
1048#483C22×C8311yescharacteristic, complemented
1049#482C22×C8311yescharacteristic, complemented
1050#482C22×C8311yescharacteristic, complemented
1051#482C22×C8311yescharacteristic, complemented
1052#480C22×C8311yescharacteristic, complemented
1053#480C22×C8311yescharacteristic, complemented
1054#480C22×C8311yescharacteristic, complemented
1055#480C22×C8311yescharacteristic, complemented
1056#479C22×C8311yescharacteristic, complemented
1057#478C22×C8311yescharacteristic, complemented
1058#477C22×C8311yescharacteristic, complemented
1059#474C22×C8311yescharacteristic, complemented
1060#470C22×C8311yescharacteristic, complemented
1061#469C22×C8311yescharacteristic, complemented
1062#469C22×C8311yescharacteristic, complemented
1063#468C22×C8311yescharacteristic, complemented
1064#468C22×C8311yescharacteristic, complemented
1065#468C22×C8311yescharacteristic, complemented
1066#468C22×C8311yescharacteristic, complemented
1067#468C22×C8311yescharacteristic, complemented
1068#468C22×C8311yescharacteristic, complemented
1069#468C22×C8311yescharacteristic, complemented
1070#468C22×C8311yescharacteristic, complemented
1071#468C22×C8311yescharacteristic, complemented
1072#467C22×C8311yescharacteristic, complemented
1073#467C22×C8311yescharacteristic, complemented
1074#466C22×C8311yescharacteristic, complemented
1075#465C22×C8311yescharacteristic, complemented
1076#464C22×C8311yescharacteristic, complemented
1077#464C22×C8311yescharacteristic, complemented
1078#464C22×C8311yescharacteristic, complemented
1079#464C22×C8311yescharacteristic, complemented
1080#463C22×C8311yescharacteristic, complemented
1081#463C22×C8311yescharacteristic, complemented
1082#462C22×C8311yescharacteristic, complemented
1083#461C22×C8311yescharacteristic, complemented
1084#460C22×C8311yescharacteristic, complemented
1085#460C22×C8311yescharacteristic, complemented
1086#460C22×C8311yescharacteristic, complemented
1087#459C22×C8311yescharacteristic, complemented
1088#452C22×C8311yescharacteristic
1089#452C22×C8311yescharacteristic
1090#452C22×C8311yescharacteristic
1091#452C22×C8311yescharacteristic, complemented
1092#452C22×C8311yescharacteristic, complemented
1093#452C22×C8311yescharacteristic, complemented
1094#452C22×C8311yescharacteristic, complemented
1095#452C22×C8311yescharacteristic, complemented
1096#452C22×C8311yescharacteristic, complemented
1097#452C22×C8311yescharacteristic, complemented
1098#452C22×C8311yescharacteristic, complemented
1099#452C22×C8311yescharacteristic, complemented
1100#451C22×C8311yescharacteristic, complemented
1101#451C22×C8311yescharacteristic, complemented
1102#451C22×C8311yescharacteristic, complemented
1103#450C22×C8311yescharacteristic, complemented
1104#450C22×C8311yescharacteristic, complemented
1105#450C22×C8311yescharacteristic, complemented
1106#450C22×C8311yescharacteristic, complemented
1107#450C22×C8311yescharacteristic, complemented
1108#450C22×C8311yescharacteristic, complemented
1109#450C22×C8311yescharacteristic, complemented
1110#450C22×C8311yescharacteristic, complemented
1111#449C22×C8311yescharacteristic
1112#449C22×C8311yescharacteristic, complemented
1113#449C22×C8311yescharacteristic, complemented
1114#449C22×C8311yescharacteristic, complemented
1115#449C22×C8311yescharacteristic, complemented
1116#449C22×C8311yescharacteristic, complemented
1117#449C22×C8311yescharacteristic, complemented
1118#449C22×C8311yescharacteristic, complemented
1119#448C22×C8311yescharacteristic, complemented
1120#448C22×C8311yescharacteristic, complemented
1121#448C22×C8311yescharacteristic, complemented
1122#447C22×C8311yescharacteristic, complemented
1123#447C22×C8311yescharacteristic, complemented
1124#441C22×C8311yescharacteristic, complemented
1125#440C22×C8311yescharacteristic, complemented
1126#440C22×C8311yescharacteristic, complemented
1127#440C22×C8311yescharacteristic, complemented
1128C4×Q16C22×C8311yescharacteristic, complemented
1129C4×Q16C22×C8311yescharacteristic, complemented
1130C4×SD16C22×C8311yescharacteristic, complemented
1131C4×D8C22×C8311yescharacteristic, complemented
1132#436C22×C8311yescharacteristic, complemented
1133#436C22×C8311yescharacteristic, complemented
1134#436C22×C8311yescharacteristic, complemented
1135#436C22×C8311yescharacteristic, complemented
1136#435C22×C8311yescharacteristic, complemented
1137#435C22×C8311yescharacteristic, complemented
1138#435C22×C8311yescharacteristic, complemented
1139#435C22×C8311yescharacteristic, complemented
1140#433C22×C8311yescharacteristic, complemented
1141#433C22×C8311yescharacteristic, complemented
1142#419C22×C8311yescharacteristic, complemented
1143#418C22×C8311yescharacteristic, complemented
1144#418C22×C8311yescharacteristic, complemented
1145#417C22×C8311yescharacteristic, complemented
1146#417C22×C8311yescharacteristic, complemented
1147#417C22×C8311yescharacteristic, complemented
1148#416C22×C8311yescharacteristic, complemented
1149C2×#102C22×C8311yescharacteristic, complemented
1150#408C22×C8311yescharacteristic, complemented
1151#408C22×C8311yescharacteristic, complemented
1152#407C22×C8311yescharacteristic, complemented
1153#407C22×C8311yescharacteristic, complemented
1154H(5,𝔽2)—42no—
1155H(5,𝔽2)—42no—
1156C2×#41—21no—
1157C2×#41—21no—
1158C2×#41—21no—
1159C2×#41—42no—
1160C2×#41—42no—
1161C2×#41C23×C8311yescharacteristic
1162C2×#41C23×C8311yescharacteristic
1163C2×#41C23×C8311yescharacteristic
1164C2×#41C23×C8311yescharacteristic
1165C2×#41C23×C8311yescharacteristic
1166C2×#41C23×C8311yescharacteristic
1167C2×#41C23×C8311yescharacteristic
1168C2×#41C23×C8311yescharacteristic
1169C2×#41C23×C8311yescharacteristic
1170C22×Q8C23×C8311yescharacteristic
1171C22×Q8C23×C8311yescharacteristic
1172C22×Q8C23×C8311yescharacteristic
1173C22×D4—21no—
1174C22×D4—21no—
1175C22×D4—21no—
1176C22×D4—21no—
1177C22×D4—21no—
1178C22×D4—21no—
1179C22×D4—21no—
1180C22×D4C23×C8311yescharacteristic
1181C22×D4C23×C8311yescharacteristic
1182C22×D4C23×C8311yescharacteristic
1183C22×D4C23×C8311yescharacteristic
1184C23×C4—21no—
1185C23×C4C23×C8311yescharacteristic
1186#137—42no—
1187#137—42no—
1188#137—42no—
1189#137—42no—
1190AGL(1,ℤ/8)—42no—
1191AGL(1,ℤ/8)—42no—
1192#135—42no—
1193C2×Q16C23×C8311yescharacteristic
1194C2×Q16C23×C8311yescharacteristic
1195C2×Q16C23×C8311yescharacteristic
1196C2×Q16C23×C8311yescharacteristic
1197C2×Q16C23×C8311yescharacteristic
1198C2×Q16C23×C8311yescharacteristic
1199C2×SD16—42no—
1200C2×SD16C23×C8311yescharacteristic
1201C2×SD16C23×C8311yescharacteristic
1202C2×SD16C23×C8311yescharacteristic
1203C2×SD16C23×C8311yescharacteristic
1204C2×SD16C23×C8311yescharacteristic
1205C2×SD16C23×C8311yescharacteristic
1206C2×SD16C23×C8311yescharacteristic
1207C2×SD16C23×C8311yescharacteristic
1208C2×SD16C23×C8311yescharacteristic
1209C2×SD16C23×C8311yescharacteristic
1210C2×SD16C23×C8311yescharacteristic
1211C2×SD16C23×C8311yescharacteristic
1212C2×SD16C23×C8311yescharacteristic
1213C2×SD16C23×C8311yescharacteristic
1214C2×D8C23×C8311yescharacteristic
1215C2×D8C23×C8311yescharacteristic
1216C2×D8C23×C8311yescharacteristic
1217C2×D8C23×C8311yescharacteristic
1218C2×M16C23×C8311yescharacteristic
1219C2×M16C23×C8311yescharacteristic
1220C2×M16C23×C8311yescharacteristic
1221C2×M16C23×C8311yescharacteristic
1222C2×M16C23×C8311yescharacteristic
1223C2×M16C23×C8311yescharacteristic
1224C22×C8C23×C8311yescharacteristic
1225C22×C8C23×C8311yescharacteristic
1226C4⋊Q8—21no—
1227C4⋊Q8—21no—
1228C4⋊Q8C23×C8311yescharacteristic
1229C4⋊Q8C23×C8311yescharacteristic
1230#127—21no—
1231#127—21no—
1232#127C23×C8311yescharacteristic
1233#127C23×C8311yescharacteristic
1234#126—21no—
1235#126—21no—
1236#126—21no—
1237#126—21no—
1238#126—21no—
1239#126—21no—
1240#126—21no—
1241#125—21no—
1242#125—21no—
1243#125—21no—
1244#125—21no—
1245#125C23×C8311yescharacteristic
1246#124—21no—
1247#124—21no—
1248#124—21no—
1249#124—21no—
1250#124—21no—
1251#124—21no—
1252#124—21no—
1253#124C23×C8311yescharacteristic
1254#124C23×C8311yescharacteristic
1255#124C23×C8311yescharacteristic
1256#123—21no—
1257#123—21no—
1258#123—21no—
1259#123—21no—
1260#123—21no—
1261#123—21no—
1262#123—21no—
1263#123—21no—
1264#123—21no—
1265#123—21no—
1266#123D4×C8311yescharacteristic
1267#123D4×C8311yescharacteristic
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—21no—
1271C22⋊Q8—21no—
1272C22⋊Q8—21no—
1273C22⋊Q8—21no—
1274C22⋊Q8—21no—
1275C22⋊Q8—21no—
1276C22⋊Q8—21no—
1277C22⋊Q8—21no—
1278C22⋊Q8—21no—
1279C22⋊Q8—21no—
1280C22⋊Q8—21no—
1281C22⋊Q8D4×C8311yescharacteristic
1282C22⋊Q8D4×C8311yescharacteristic
1283C22⋊Q8C23×C8311yescharacteristic
1284C22⋊Q8C23×C8311yescharacteristic
1285C22⋊Q8C23×C8311yescharacteristic
1286C22⋊Q8C23×C8311yescharacteristic
1287C22⋊Q8C23×C8311yescharacteristic
1288C22⋊Q8C23×C8311yescharacteristic
1289C22⋊Q8C23×C8311yescharacteristic
1290C22⋊Q8C23×C8311yescharacteristic
1291C22⋊Q8C23×C8311yescharacteristic
1292C22⋊Q8C23×C8311yescharacteristic
1293C22⋊Q8C23×C8311yescharacteristic
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#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—21no—
1307#121—21no—
1308#121—21no—
1309#121—21no—
1310#121—21no—
1311#121—21no—
1312#121—21no—
1313#121—21no—
1314#121—21no—
1315#121—21no—
1316#121—21no—
1317#121—21no—
1318#121D4×C8311yescharacteristic
1319#121D4×C8311yescharacteristic
1320#121C23×C8311yescharacteristic
1321#121C23×C8311yescharacteristic
1322#121C23×C8311yescharacteristic
1323#121C23×C8311yescharacteristic
1324#121C23×C8311yescharacteristic
1325#121C23×C8311yescharacteristic
1326#121C23×C8311yescharacteristic
1327#121C23×C8311yescharacteristic
1328#121C23×C8311yescharacteristic
1329#120—21no—
1330#120—21no—
1331#120—21no—
1332#120—21no—
1333#120—21no—
1334#120—21no—
1335#120—21no—
1336#120—21no—
1337#120—21no—
1338#120D4×C8311yescharacteristic
1339#120D4×C8311yescharacteristic
1340C4×Q8—21no—
1341C4×Q8C23×C8311yescharacteristic
1342C4×Q8C23×C8311yescharacteristic
1343C4×Q8C23×C8311yescharacteristic
1344C4×Q8C23×C8311yescharacteristic
1345C4×Q8C23×C8311yescharacteristic
1346C4×D4—21no—
1347C4×D4—21no—
1348C4×D4—21no—
1349C4×D4—21no—
1350C4×D4—21no—
1351C4×D4—21no—
1352C4×D4—21no—
1353C4×D4—21no—
1354C4×D4—21no—
1355C4×D4—21no—
1356C4×D4—21no—
1357C4×D4—21no—
1358C4×D4—21no—
1359C4×D4C23×C8311yescharacteristic
1360C4×D4C23×C8311yescharacteristic
1361C4×D4C23×C8311yescharacteristic
1362C4×D4C23×C8311yescharacteristic
1363C4×D4C23×C8311yescharacteristic
1364C4×D4C23×C8311yescharacteristic
1365C4×D4C23×C8311yescharacteristic
1366#117—21no—
1367#117—21no—
1368#117C23×C8311yescharacteristic
1369#117C23×C8311yescharacteristic
1370#117C23×C8311yescharacteristic
1371C2×C4⋊C4—21no—
1372C2×C4⋊C4—21no—
1373C2×C4⋊C4—21no—
1374C2×C4⋊C4C23×C8311yescharacteristic
1375C2×C4⋊C4C23×C8311yescharacteristic
1376C2×C4⋊C4C23×C8311yescharacteristic
1377C2×C22⋊C4—21no—
1378C2×C22⋊C4—21no—
1379C2×C22⋊C4—21no—
1380C2×C22⋊C4—21no—
1381#107C23×C8311yescharacteristic
1382#107C23×C8311yescharacteristic
1383#107C23×C8311yescharacteristic
1384#107C23×C8311yescharacteristic
1385#107C23×C8311yescharacteristic
1386#107C23×C8311yescharacteristic
1387#106C23×C8311yescharacteristic
1388#106C23×C8311yescharacteristic
1389C4⋊C8C23×C8311yescharacteristic
1390C4⋊C8C23×C8311yescharacteristic
1391C4⋊C8C23×C8311yescharacteristic
1392C4⋊C8C23×C8311yescharacteristic
1393#103C23×C8311yescharacteristic
1394#103C23×C8311yescharacteristic
1395#103C23×C8311yescharacteristic
1396#103C23×C8311yescharacteristic
1397#103C23×C8311yescharacteristic
1398#103C23×C8311yescharacteristic
1399#103C23×C8311yescharacteristic
1400#103C23×C8311yescharacteristic
1401#103C23×C8311yescharacteristic
1402#103C23×C8311yescharacteristic
1403#103C23×C8311yescharacteristic
1404#103C23×C8311yescharacteristic
1405#103C23×C8311yescharacteristic
1406#103C23×C8311yescharacteristic
1407#102C23×C8311yescharacteristic
1408#102C23×C8311yescharacteristic
1409#102C23×C8311yescharacteristic
1410#102C23×C8311yescharacteristic
1411#102C23×C8311yescharacteristic
1412#102C23×C8311yescharacteristic
1413#102C23×C8311yescharacteristic
1414#102C23×C8311yescharacteristic
1415#102C23×C8311yescharacteristic
1416#102C23×C8311yescharacteristic
1417#102C23×C8311yescharacteristic
1418#102C23×C8311yescharacteristic
1419#102C23×C8311yescharacteristic
1420#102C23×C8311yescharacteristic
1421#102C23×C8311yescharacteristic
1422#102C23×C8311yescharacteristic
1423#102C23×C8311yescharacteristic
1424#102C23×C8311yescharacteristic
1425C22⋊C8C23×C8311yescharacteristic
1426C22⋊C8C23×C8311yescharacteristic
1427C22⋊C8C23×C8311yescharacteristic
1428C22⋊C8C23×C8311yescharacteristic
1429C22⋊C8C23×C8311yescharacteristic
1430C22⋊C8C23×C8311yescharacteristic
1431C22⋊C8C23×C8311yescharacteristic
1432C22⋊C8C23×C8311yescharacteristic
1433C22⋊C8C23×C8311yescharacteristic
1434C22⋊C8C23×C8311yescharacteristic
1435C22⋊C8C23×C8311yescharacteristic
1436C22⋊C8C23×C8311yescharacteristic
1437#97C23×C8311yescharacteristic
1438#97C23×C8311yescharacteristic
1439C4×C8C23×C8311yescharacteristic
1440C4×C8C23×C8311yescharacteristic
1441C24—21no—
1442C24—21no—
1443C24—21no—
1444C24—21no—
1445C24C2×D4×C8311yescharacteristic
1446#41—22no—
1447#41—22no—
1448#41—22no—
1449#41—22no—
1450#41—22no—
1451#41—22no—
1452#41—41no—
1453#41—41no—
1454#41—41no—
1455#41—41no—
1456#41—41no—
1457#41—41no—
1458#41—41no—
1459#41—41no—
1460#41—44no—
1461#41—44no—
1462#41—41no—
1463#41—41no—
1464#41—41no—
1465#41—41no—
1466#41—44no—
1467C2×Q8—21no—
1468C2×Q8—21no—
1469C2×Q8—21no—
1470C2×Q8—21no—
1471C2×Q8—22no—
1472C2×Q8—41no—
1473C2×Q8—41no—
1474C2×Q8—41no—
1475C2×Q8—41no—
1476C2×Q8—41no—
1477C2×Q8C2×D4×C8311yescharacteristic
1478C2×Q8C24×C8311yescharacteristic
1479C2×Q8C24×C8311yescharacteristic
1480C2×Q8C24×C8311yescharacteristic
1481C2×Q8C24×C8311yescharacteristic
1482C2×Q8C24×C8311yescharacteristic
1483C2×D4—21no—
1484C2×D4—22no—
1485C2×D4—22no—
1486C2×D4—22no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—41no—
1512C2×D4—41no—
1513C2×D4—41no—
1514C2×D4—41no—
1515C2×D4—41no—
1516C2×D4—44no—
1517C2×D4—44no—
1518C2×D4—44no—
1519C2×D4—44no—
1520C2×D4—82no—
1521C2×D4—82no—
1522C2×D4—82no—
1523C2×D4C2×D4×C8311yescharacteristic
1524C2×D4C2×D4×C8311yescharacteristic
1525C2×D4C2×D4×C8311yescharacteristic
1526C2×D4C2×D4×C8311yescharacteristic
1527C2×D4C2×D4×C8311yescharacteristic
1528C2×D4C2×D4×C8311yescharacteristic
1529C2×D4C2×D4×C8311yescharacteristic
1530C2×D4C24×C8311yescharacteristic
1531C2×D4C24×C8311yescharacteristic
1532C2×D4C24×C8311yescharacteristic
1533C2×D4C24×C8311yescharacteristic
1534C2×D4C24×C8311yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—21no—
1540C22×C4—21no—
1541C22×C4—21no—
1542C22×C4—21no—
1543C22×C4—21no—
1544C22×C4—21no—
1545C22×C4—21no—
1546C22×C4—21no—
1547C22×C4—21no—
1548C22×C4—21no—
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—41no—
1553C22×C4—41no—
1554C22×C4—44no—
1555C22×C4C2×D4×C8311yescharacteristic
1556C22×C4C2×D4×C8311yescharacteristic
1557C22×C4C2×D4×C8311yescharacteristic
1558C22×C4C24×C8311yescharacteristic
1559C22×C4C24×C8311yescharacteristic
1560C22×C4C24×C8311yescharacteristic
1561C22×C4C24×C8311yescharacteristic
1562C22×C4C24×C8311yescharacteristic
1563Q16—22no—
1564Q16—22no—
1565Q16—22no—
1566Q16—41no—
1567Q16—41no—
1568Q16—41no—
1569SD16—22no—
1570SD16—22no—
1571SD16—22no—
1572SD16—22no—
1573SD16—41no—
1574SD16—41no—
1575SD16—41no—
1576SD16—41no—
1577SD16—41no—
1578SD16—41no—
1579SD16—41no—
1580SD16—41no—
1581SD16—41no—
1582SD16—41no—
1583D8—22no—
1584D8—41no—
1585D8—41no—
1586D8—41no—
1587M16—41no—
1588M16—41no—
1589M16—41no—
1590M16—41no—
1591M16—41no—
1592M16—41no—
1593C2×C8—41no—
1594C2×C8—41no—
1595C2×C8C24×C8311yescharacteristic
1596C2×C8C24×C8311yescharacteristic
1597C2×C8C24×C8311yescharacteristic
1598C2×C8C24×C8311yescharacteristic
1599C2×C8C24×C8311yescharacteristic
1600C2×C8C24×C8311yescharacteristic
1601C2×C8C24×C8311yescharacteristic
1602C2×C8C24×C8311yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—21no—
1611C4⋊C4—21no—
1612C4⋊C4—21no—
1613C4⋊C4—21no—
1614C4⋊C4—21no—
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—21no—
1622C4⋊C4—21no—
1623C4⋊C4—21no—
1624C4⋊C4—21no—
1625C4⋊C4—21no—
1626C4⋊C4—21no—
1627C4⋊C4C2×D4×C8311yescharacteristic
1628C4⋊C4C2×D4×C8311yescharacteristic
1629C4⋊C4C2×D4×C8311yescharacteristic
1630C4⋊C4C2×D4×C8311yescharacteristic
1631C4⋊C4C2×D4×C8311yescharacteristic
1632C4⋊C4C2×D4×C8311yescharacteristic
1633C4⋊C4C24×C8311yescharacteristic
1634C4⋊C4C24×C8311yescharacteristic
1635C4⋊C4C24×C8311yescharacteristic
1636C4⋊C4C24×C8311yescharacteristic
1637C4⋊C4C24×C8311yescharacteristic
1638C4⋊C4C24×C8311yescharacteristic
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⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4C2×D4×C8311yescharacteristic
1671C22⋊C4C2×D4×C8311yescharacteristic
1672C22⋊C4C2×D4×C8311yescharacteristic
1673C22⋊C4C2×D4×C8311yescharacteristic
1674C22⋊C4C2×D4×C8311yescharacteristic
1675C22⋊C4C2×D4×C8311yescharacteristic
1676C22⋊C4C2×D4×C8311yescharacteristic
1677C22⋊C4C2×D4×C8311yescharacteristic
1678C22⋊C4C2×D4×C8311yescharacteristic
1679C22⋊C4C2×D4×C8311yescharacteristic
1680C42—21no—
1681C42—21no—
1682C42—21no—
1683C42—21no—
1684C42—21no—
1685C42—21no—
1686C42—21no—
1687C42C24×C8311yescharacteristic
1688C42C24×C8311yescharacteristic
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—41no—
1695C23—41no—
1696C23—41no—
1697C23—42no—
1698C23—42no—
1699C23—42no—
1700C23—42no—
1701C23—42no—
1702C23—81no—
1703C23—81no—
1704C23—81no—
1705C23—81no—
1706C23—81no—
1707C23—81no—
1708C23—81no—
1709C23C22×D4×C8311yescharacteristic
1710C23C22×D4×C8311yescharacteristic
1711C23C22×D4×C8311yescharacteristic
1712C23C22×D4×C8311yescharacteristic
1713C23C22×D4×C8311yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—21no—
1721Q8—21no—
1722Q8—21no—
1723Q8—41no—
1724Q8—42no—
1725Q8—81no—
1726Q8—81no—
1727Q8—81no—
1728Q8H(5,𝔽2)×C8312yes—
1729D4—24no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—21no—
1736D4—21no—
1737D4—21no—
1738D4—21no—
1739D4—41no—
1740D4—41no—
1741D4—41no—
1742D4—41no—
1743D4—41no—
1744D4—41no—
1745D4—41no—
1746D4—42no—
1747D4—42no—
1748D4—42no—
1749D4—42no—
1750D4—42no—
1751D4—42no—
1752D4—42no—
1753D4—42no—
1754D4—42no—
1755D4—42no—
1756D4—42no—
1757D4—42no—
1758D4—81no—
1759D4—81no—
1760D4—81no—
1761D4—81no—
1762D4—81no—
1763D4—81no—
1764D4—81no—
1765D4—81no—
1766D4—81no—
1767D4—81no—
1768D4—81no—
1769D4—81no—
1770D4H(5,𝔽2)×C8312yes—
1771C2×C4—24no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—41no—
1794C2×C4—41no—
1795C2×C4—41no—
1796C2×C4—42no—
1797C2×C4—42no—
1798C2×C4—42no—
1799C2×C4—42no—
1800C2×C4—42no—
1801C2×C4—42no—
1802C2×C4—81no—
1803C2×C4—81no—
1804C2×C4—81no—
1805C2×C4—81no—
1806C2×C4—81no—
1807C2×C4—81no—
1808C2×C4—81no—
1809C2×C4—81no—
1810C2×C4—81no—
1811C2×C4—81no—
1812C2×C4C22×D4×C8311yescharacteristic
1813C2×C4C22×D4×C8311yescharacteristic
1814C2×C4C22×D4×C8311yescharacteristic
1815C2×C4C22×D4×C8311yescharacteristic
1816C2×C4C22×D4×C8311yescharacteristic
1817C2×C4C22×D4×C8311yescharacteristic
1818C2×C4C22×D4×C8311yescharacteristic
1819C2×C4C22×D4×C8311yescharacteristic
1820C2×C4C22×D4×C8311yescharacteristic
1821C2×C4C25×C8311yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—21no—
1827C8—21no—
1828C8—21no—
1829C8—21no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—21no—
1841C22—21no—
1842C22—21no—
1843C22—22no—
1844C22—21no—
1845C22—21no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—82no—
1861C22—84no—
1862C22—162no—
1863C22—162no—
1864C22—162no—
1865C22C23×D4×C8311yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—21no—
1871C4—22no—
1872C4—21no—
1873C4—21no—
1874C4—21no—
1875C4—21no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—41no—
1882C4—41no—
1883C4—41no—
1884C4—41no—
1885C4—41no—
1886C4C2×H(5,𝔽2)×C8311yescharacteristic
1887C4C2×H(5,𝔽2)×C8311yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—41no—
1891C2—41no—
1892C2—41no—
1893C2—42no—
1894C2—81no—
1895C2—81no—
1896C2—81no—
1897C2—81no—
1898C2C83×#348411yescharacteristic
1899C2C83×#358511yescharacteristic
1900C2C83×#358611yescharacteristic
subgroupG/H
center, socleC22×C83C23×D4
commutator, Frattini, cosocleC2×C4C25×C83
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C83 ◁ #525×C83 ◁ G

Complements

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

NH ≅ G/Ntype
1. C83×#3541C2semidirect
2. C83×#3488C2semidirect
3. C83×#3333C2semidirect
4. C83×#3327C2semidirect
5. C83×#3324C2semidirect
6. C83×#3322C2semidirect
7. C83×#3314C2semidirect
8. C83×#3313C2semidirect
9. C83×#3310C2semidirect
10. C83×#3309C2semidirect
11. C83×#3278C2semidirect
12. C83×#3277C2semidirect
13. C83×#3275C2semidirect
14. C83×#3272C2semidirect
15. C83×#3271C2semidirect
16. C83×#3269C2semidirect
17. C83×#3266C2semidirect
18. C83×#3265C2semidirect
19. C83×#3224C2semidirect
20. C83×#3222C2semidirect
21. C83×#3203C2semidirect
22. C83×#3201C2semidirect
23. C83×#3194C2semidirect
24. C83×#3193C2semidirect
25. C83×#3124C2semidirect
26. C83×#3120C2semidirect
27. C83×#3012C2semidirect
28. C83×#3009C2semidirect
29. C83×#3007C2semidirect
30. C83×#3005C2semidirect
31. C83×#2978C2semidirect
34. C2×#137×C83C22semidirect
35. C2×#137×C83C22semidirect
36. C2×#137×C83C22semidirect
37. C2×#137×C83C22semidirect
38. C2×AGL(1,ℤ/8)×C83C22semidirect
39. C2×AGL(1,ℤ/8)×C83C22semidirect
40. C2×#135×C83C22semidirect
41. C22×SD16×C83C22semidirect
44. #556×C83C22semidirect
46. #554×C83C22semidirect
48. #553×C83C22semidirect
49. #552×C83C22semidirect
52. D4×Q8×C83C22semidirect
55. #548×C83C22semidirect
56. #548×C83C22semidirect
57. #547×C83C22semidirect
67. #542×C83C22semidirect
68. #541×C83C22semidirect
74. #537×C83C22semidirect
75. #536×C83C22semidirect
80. #525×C83C22semidirect
81. C2×C22⋊Q8×C83C22semidirect
85. #497×C83C22semidirect
86. #496×C83C22semidirect
87. #495×C83C22semidirect
88. #492×C83C22semidirect
89. #490×C83C22semidirect
90. #489×C83C22semidirect
91. #488×C83C22semidirect
92. #486×C83C22semidirect
93. #485×C83C22semidirect
94. #484×C83C22semidirect
95. #484×C83C22semidirect
96. #484×C83C22semidirect
97. #483×C83C22semidirect
98. #482×C83C22semidirect
99. #482×C83C22semidirect
100. #482×C83C22semidirect
101. #480×C83C22semidirect
102. #480×C83C22semidirect
103. #480×C83C22semidirect
104. #480×C83C22semidirect
105. #479×C83C22semidirect
106. #478×C83C22semidirect
107. #477×C83C22semidirect
108. #474×C83C22semidirect
109. #470×C83C22semidirect
110. #469×C83C22semidirect
111. #469×C83C22semidirect
112. #468×C83C22semidirect
113. #468×C83C22semidirect
114. #468×C83C22semidirect
115. #468×C83C22semidirect
116. #468×C83C22semidirect
117. #468×C83C22semidirect
118. #468×C83C22semidirect
119. #468×C83C22semidirect
120. #468×C83C22semidirect
121. #467×C83C22semidirect
122. #467×C83C22semidirect
123. #466×C83C22semidirect
124. #465×C83C22semidirect
125. #464×C83C22semidirect
126. #464×C83C22semidirect
127. #464×C83C22semidirect
128. #464×C83C22semidirect
129. #463×C83C22semidirect
130. #463×C83C22semidirect
131. #462×C83C22semidirect
132. #461×C83C22semidirect
133. #460×C83C22semidirect
134. #460×C83C22semidirect
135. #460×C83C22semidirect
136. #459×C83C22semidirect
140. #452×C83C22semidirect
141. #452×C83C22semidirect
142. #452×C83C22semidirect
143. #452×C83C22semidirect
144. #452×C83C22semidirect
145. #452×C83C22semidirect
146. #452×C83C22semidirect
147. #452×C83C22semidirect
148. #452×C83C22semidirect
149. #451×C83C22semidirect
150. #451×C83C22semidirect
151. #451×C83C22semidirect
152. #450×C83C22semidirect
153. #450×C83C22semidirect
154. #450×C83C22semidirect
155. #450×C83C22semidirect
156. #450×C83C22semidirect
157. #450×C83C22semidirect
158. #450×C83C22semidirect
159. #450×C83C22semidirect
161. #449×C83C22semidirect
162. #449×C83C22semidirect
163. #449×C83C22semidirect
164. #449×C83C22semidirect
165. #449×C83C22semidirect
166. #449×C83C22semidirect
167. #449×C83C22semidirect
168. #448×C83C22semidirect
169. #448×C83C22semidirect
170. #448×C83C22semidirect
171. #447×C83C22semidirect
172. #447×C83C22semidirect
173. #441×C83C22semidirect
174. #440×C83C22semidirect
175. #440×C83C22semidirect
176. #440×C83C22semidirect
177. C4×Q16×C83C22semidirect
178. C4×Q16×C83C22semidirect
179. C4×SD16×C83C22semidirect
180. C4×D8×C83C22semidirect
181. #436×C83C22semidirect
182. #436×C83C22semidirect
183. #436×C83C22semidirect
184. #436×C83C22semidirect
185. #435×C83C22semidirect
186. #435×C83C22semidirect
187. #435×C83C22semidirect
188. #435×C83C22semidirect
189. #433×C83C22semidirect
190. #433×C83C22semidirect
191. #419×C83C22semidirect
192. #418×C83C22semidirect
193. #418×C83C22semidirect
194. #417×C83C22semidirect
195. #417×C83C22semidirect
196. #417×C83C22semidirect
197. #416×C83C22semidirect
198. C2×#102×C83C22semidirect
199. #408×C83C22semidirect
200. #408×C83C22semidirect
201. #407×C83C22semidirect
202. #407×C83C22semidirect
937. #61654C83direct (N × H)
951. #3541C2×C83semidirect
952. #3488C2×C83semidirect
953. #3333C2×C83semidirect
954. #3327C2×C83semidirect
955. #3324C2×C83semidirect
956. #3322C2×C83semidirect
957. #3314C2×C83semidirect
958. #3313C2×C83semidirect
959. #3310C2×C83semidirect
960. #3309C2×C83semidirect
961. #3278C2×C83semidirect
962. #3277C2×C83semidirect
963. #3275C2×C83semidirect
964. #3272C2×C83semidirect
965. #3271C2×C83semidirect
966. #3269C2×C83semidirect
967. #3266C2×C83semidirect
968. #3265C2×C83semidirect
969. #3224C2×C83semidirect
970. #3222C2×C83semidirect
971. #3203C2×C83semidirect
972. #3201C2×C83semidirect
973. #3194C2×C83semidirect
974. #3193C2×C83semidirect
975. #3124C2×C83semidirect
976. #3120C2×C83semidirect
977. #3012C2×C83semidirect
978. #3009C2×C83semidirect
979. #3007C2×C83semidirect
980. #3005C2×C83semidirect
981. #2978C2×C83semidirect
982. C83#61654direct (N × H)
985. C2×#137C22×C83semidirect
986. C2×#137C22×C83semidirect
987. C2×#137C22×C83semidirect
988. C2×#137C22×C83semidirect
989. C2×AGL(1,ℤ/8)C22×C83semidirect
990. C2×AGL(1,ℤ/8)C22×C83semidirect
991. C2×#135C22×C83semidirect
992. C22×SD16C22×C83semidirect
995. #556C22×C83semidirect
997. #554C22×C83semidirect
999. #553C22×C83semidirect
1000. #552C22×C83semidirect
1003. D4×Q8C22×C83semidirect
1006. #548C22×C83semidirect
1007. #548C22×C83semidirect
1008. #547C22×C83semidirect
1018. #542C22×C83semidirect
1019. #541C22×C83semidirect
1025. #537C22×C83semidirect
1026. #536C22×C83semidirect
1031. #525C22×C83semidirect
1032. C2×C22⋊Q8C22×C83semidirect
1036. #497C22×C83semidirect
1037. #496C22×C83semidirect
1038. #495C22×C83semidirect
1039. #492C22×C83semidirect
1040. #490C22×C83semidirect
1041. #489C22×C83semidirect
1042. #488C22×C83semidirect
1043. #486C22×C83semidirect
1044. #485C22×C83semidirect
1045. #484C22×C83semidirect
1046. #484C22×C83semidirect
1047. #484C22×C83semidirect
1048. #483C22×C83semidirect
1049. #482C22×C83semidirect
1050. #482C22×C83semidirect
1051. #482C22×C83semidirect
1052. #480C22×C83semidirect
1053. #480C22×C83semidirect
1054. #480C22×C83semidirect
1055. #480C22×C83semidirect
1056. #479C22×C83semidirect
1057. #478C22×C83semidirect
1058. #477C22×C83semidirect
1059. #474C22×C83semidirect
1060. #470C22×C83semidirect
1061. #469C22×C83semidirect
1062. #469C22×C83semidirect
1063. #468C22×C83semidirect
1064. #468C22×C83semidirect
1065. #468C22×C83semidirect
1066. #468C22×C83semidirect
1067. #468C22×C83semidirect
1068. #468C22×C83semidirect
1069. #468C22×C83semidirect
1070. #468C22×C83semidirect
1071. #468C22×C83semidirect
1072. #467C22×C83semidirect
1073. #467C22×C83semidirect
1074. #466C22×C83semidirect
1075. #465C22×C83semidirect
1076. #464C22×C83semidirect
1077. #464C22×C83semidirect
1078. #464C22×C83semidirect
1079. #464C22×C83semidirect
1080. #463C22×C83semidirect
1081. #463C22×C83semidirect
1082. #462C22×C83semidirect
1083. #461C22×C83semidirect
1084. #460C22×C83semidirect
1085. #460C22×C83semidirect
1086. #460C22×C83semidirect
1087. #459C22×C83semidirect
1091. #452C22×C83semidirect
1092. #452C22×C83semidirect
1093. #452C22×C83semidirect
1094. #452C22×C83semidirect
1095. #452C22×C83semidirect
1096. #452C22×C83semidirect
1097. #452C22×C83semidirect
1098. #452C22×C83semidirect
1099. #452C22×C83semidirect
1100. #451C22×C83semidirect
1101. #451C22×C83semidirect
1102. #451C22×C83semidirect
1103. #450C22×C83semidirect
1104. #450C22×C83semidirect
1105. #450C22×C83semidirect
1106. #450C22×C83semidirect
1107. #450C22×C83semidirect
1108. #450C22×C83semidirect
1109. #450C22×C83semidirect
1110. #450C22×C83semidirect
1112. #449C22×C83semidirect
1113. #449C22×C83semidirect
1114. #449C22×C83semidirect
1115. #449C22×C83semidirect
1116. #449C22×C83semidirect
1117. #449C22×C83semidirect
1118. #449C22×C83semidirect
1119. #448C22×C83semidirect
1120. #448C22×C83semidirect
1121. #448C22×C83semidirect
1122. #447C22×C83semidirect
1123. #447C22×C83semidirect
1124. #441C22×C83semidirect
1125. #440C22×C83semidirect
1126. #440C22×C83semidirect
1127. #440C22×C83semidirect
1128. C4×Q16C22×C83semidirect
1129. C4×Q16C22×C83semidirect
1130. C4×SD16C22×C83semidirect
1131. C4×D8C22×C83semidirect
1132. #436C22×C83semidirect
1133. #436C22×C83semidirect
1134. #436C22×C83semidirect
1135. #436C22×C83semidirect
1136. #435C22×C83semidirect
1137. #435C22×C83semidirect
1138. #435C22×C83semidirect
1139. #435C22×C83semidirect
1140. #433C22×C83semidirect
1141. #433C22×C83semidirect
1142. #419C22×C83semidirect
1143. #418C22×C83semidirect
1144. #418C22×C83semidirect
1145. #417C22×C83semidirect
1146. #417C22×C83semidirect
1147. #417C22×C83semidirect
1148. #416C22×C83semidirect
1149. C2×#102C22×C83semidirect
1150. #408C22×C83semidirect
1151. #408C22×C83semidirect
1152. #407C22×C83semidirect
1153. #407C22×C83semidirect

Maximal subgroups

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

subgroupindex
C83×#35412
C83×#34882
C83×#33332
C83×#33272
C83×#33242
C83×#33222
C83×#33142
C83×#33132
C83×#33102
C83×#33092
C83×#32782
C83×#32772
C83×#32752
C83×#32722
C83×#32712
C83×#32692
C83×#32662
C83×#32652
C83×#32242
C83×#32222
C83×#32032
C83×#32012
C83×#31942
C83×#31932
C83×#31242
C83×#31202
C83×#30122
C83×#30092
C83×#30072
C83×#30052
C83×#29782
#6165483