Finite Group Databasebeta

← C83×#61639 #35289463

Subgroups — C83×#61639 #35289463

Order 21248.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#3542C211yesmaximal, characteristic, complemented
2C83×#3488C211yesmaximal, characteristic, complemented
3C83×#3319C211yesmaximal, characteristic, complemented
4C83×#3310C211yesmaximal, characteristic, complemented
5C83×#3309C211yesmaximal, characteristic, complemented
6C83×#3308C211yesmaximal, characteristic, complemented
7C83×#3305C211yesmaximal, characteristic, complemented
8C83×#3300C211yesmaximal, characteristic, complemented
9C83×#3297C211yesmaximal, characteristic, complemented
10C83×#3294C211yesmaximal, characteristic, complemented
11C83×#3287C211yesmaximal, characteristic, complemented
12C83×#3282C211yesmaximal, characteristic, complemented
13C83×#3280C211yesmaximal, characteristic, complemented
14D4×D8×C83C211yesmaximal, characteristic, complemented
15C83×#3268C211yesmaximal, characteristic, complemented
16C83×#3268C211yesmaximal, characteristic, complemented
17C83×#3265C211yesmaximal, characteristic, complemented
18C83×#3264C211yesmaximal, characteristic, complemented
19C83×#3224C211yesmaximal, characteristic, complemented
20C83×#3220C211yesmaximal, characteristic, complemented
21C83×#3203C211yesmaximal, characteristic, complemented
22C83×#3198C211yesmaximal, characteristic, complemented
23C83×#3188C211yesmaximal, characteristic, complemented
24C83×#3186C211yesmaximal, characteristic, complemented
25C83×#3124C211yesmaximal, characteristic, complemented
26C83×#3119C211yesmaximal, characteristic, complemented
27C83×#3012C211yesmaximal, characteristic, complemented
28C83×#3008C211yesmaximal, characteristic, complemented
29C83×#3002C211yesmaximal, characteristic, complemented
30C2×#449×C83C211yesmaximal, characteristic, complemented
31C83×#2977C211yesmaximal, characteristic, complemented
32C2×H(5,𝔽2)×C83C2211yescharacteristic, complemented
33C22×#41×C83C2211yescharacteristic, complemented
34C2×AGL(1,ℤ/8)×C83C2211yescharacteristic, complemented
35C2×AGL(1,ℤ/8)×C83C2211yescharacteristic, complemented
36C2×#135×C83C2211yescharacteristic, complemented
37C2×#135×C83C2211yescharacteristic, complemented
38C2×#135×C83C2211yescharacteristic, complemented
39C22×SD16×C83C2211yescharacteristic, complemented
40C22×D8×C83C2211yescharacteristic, complemented
41C22×D8×C83C2211yescharacteristic, complemented
42#562×C83—21no—
43#560×C83—21no—
44#555×C83C2211yescharacteristic, complemented
45#553×C83C2211yescharacteristic, complemented
46#552×C83C2211yescharacteristic, complemented
47#551×C83—21no—
48#550×C83C2211yescharacteristic, complemented
49#550×C83C2211yescharacteristic, complemented
50#550×C83C2211yescharacteristic, complemented
51#548×C83C2211yescharacteristic
52#548×C83C2211yescharacteristic, complemented
53#547×C83C2211yescharacteristic, complemented
54#546×C83—21no—
55#546×C83—21no—
56#546×C83—21no—
57#546×C83C2211yescharacteristic, complemented
58#546×C83C2211yescharacteristic, complemented
59#546×C83C2211yescharacteristic, complemented
60#546×C83C2211yescharacteristic, complemented
61D42×C83—21no—
62D42×C83—21no—
63D42×C83C2211yescharacteristic
64D42×C83C2211yescharacteristic, complemented
65D42×C83C2211yescharacteristic, complemented
66#542×C83C2211yescharacteristic, complemented
67#540×C83—21no—
68#540×C83C2211yescharacteristic, complemented
69#538×C83—21no—
70#537×C83—21no—
71#537×C83C2211yescharacteristic, complemented
72#537×C83C2211yescharacteristic, complemented
73#535×C83—21no—
74#535×C83—21no—
75#535×C83C2211yescharacteristic, complemented
76#535×C83C2211yescharacteristic, complemented
77#534×C83—21no—
78#525×C83—21no—
79#525×C83C2211yescharacteristic
80#525×C83C2211yescharacteristic, complemented
81C2×#121×C83—21no—
82C2×#121×C83C2211yescharacteristic, complemented
83C2×#121×C83C2211yescharacteristic, complemented
84#520×C83C2211yescharacteristic, complemented
85#496×C83C2211yescharacteristic, complemented
86#496×C83C2211yescharacteristic, complemented
87#495×C83C2211yescharacteristic, complemented
88#493×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#482×C83C2211yescharacteristic, complemented
97#482×C83C2211yescharacteristic, complemented
98#482×C83C2211yescharacteristic, complemented
99#481×C83C2211yescharacteristic, complemented
100#480×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#469×C83C2211yescharacteristic, complemented
110#468×C83C2211yescharacteristic, complemented
111#468×C83C2211yescharacteristic, complemented
112#468×C83C2211yescharacteristic, complemented
113#467×C83C2211yescharacteristic, complemented
114#466×C83C2211yescharacteristic, complemented
115#466×C83C2211yescharacteristic, complemented
116#466×C83C2211yescharacteristic, complemented
117#466×C83C2211yescharacteristic, complemented
118#466×C83C2211yescharacteristic, complemented
119#466×C83C2211yescharacteristic, complemented
120#466×C83C2211yescharacteristic, complemented
121#466×C83C2211yescharacteristic, complemented
122#465×C83C2211yescharacteristic, complemented
123#465×C83C2211yescharacteristic, complemented
124#465×C83C2211yescharacteristic, complemented
125#464×C83C2211yescharacteristic, complemented
126#464×C83C2211yescharacteristic, complemented
127#463×C83C2211yescharacteristic, complemented
128#463×C83C2211yescharacteristic, complemented
129#463×C83C2211yescharacteristic, complemented
130#463×C83C2211yescharacteristic, complemented
131#460×C83C2211yescharacteristic, complemented
132#460×C83C2211yescharacteristic, complemented
133#459×C83C2211yescharacteristic, complemented
134#459×C83C2211yescharacteristic, complemented
135#459×C83C2211yescharacteristic, complemented
136#459×C83C2211yescharacteristic, complemented
137#452×C83C2211yescharacteristic, complemented
138#452×C83C2211yescharacteristic, complemented
139#452×C83C2211yescharacteristic, complemented
140#452×C83C2211yescharacteristic, complemented
141#451×C83C2211yescharacteristic, complemented
142#450×C83C2211yescharacteristic, complemented
143#450×C83C2211yescharacteristic, complemented
144#450×C83C2211yescharacteristic, complemented
145#450×C83C2211yescharacteristic, complemented
146#449×C83C2211yescharacteristic
147#449×C83C2211yescharacteristic, complemented
148#449×C83C2211yescharacteristic, complemented
149#449×C83C2211yescharacteristic, complemented
150#449×C83C2211yescharacteristic, complemented
151#449×C83C2211yescharacteristic, complemented
152#449×C83C2211yescharacteristic, complemented
153#449×C83C2211yescharacteristic, complemented
154#449×C83C2211yescharacteristic, complemented
155#449×C83C2211yescharacteristic, complemented
156#449×C83C2211yescharacteristic, complemented
157#449×C83C2211yescharacteristic, complemented
158#449×C83C2211yescharacteristic, complemented
159#449×C83C2211yescharacteristic, complemented
160#449×C83C2211yescharacteristic, complemented
161#449×C83C2211yescharacteristic, complemented
162#448×C83C2211yescharacteristic, complemented
163#447×C83C2211yescharacteristic, complemented
164#447×C83C2211yescharacteristic, complemented
165#447×C83C2211yescharacteristic, complemented
166#447×C83C2211yescharacteristic, complemented
167#447×C83C2211yescharacteristic, complemented
168#447×C83C2211yescharacteristic, complemented
169#447×C83C2211yescharacteristic, complemented
170#447×C83C2211yescharacteristic, complemented
171#447×C83C2211yescharacteristic, complemented
172#447×C83C2211yescharacteristic, complemented
173#442×C83C2211yescharacteristic, complemented
174#440×C83C2211yescharacteristic, complemented
175#440×C83C2211yescharacteristic, complemented
176#440×C83C2211yescharacteristic, complemented
177C4×Q16×C83C2211yescharacteristic, complemented
178C4×SD16×C83C2211yescharacteristic, complemented
179C4×D8×C83C2211yescharacteristic, complemented
180C4×D8×C83C2211yescharacteristic, complemented
181#435×C83C2211yescharacteristic, complemented
182#435×C83C2211yescharacteristic, complemented
183#435×C83C2211yescharacteristic, complemented
184#435×C83C2211yescharacteristic, complemented
185C8×D4×C83C2211yescharacteristic, complemented
186C8×D4×C83C2211yescharacteristic, complemented
187C8×D4×C83C2211yescharacteristic, complemented
188C8×D4×C83C2211yescharacteristic, complemented
189#433×C83C2211yescharacteristic, complemented
190#433×C83C2211yescharacteristic, complemented
191#418×C83C2211yescharacteristic, complemented
192#417×C83C2211yescharacteristic, complemented
193#416×C83C2211yescharacteristic, complemented
194#416×C83C2211yescharacteristic, complemented
195#416×C83C2211yescharacteristic, complemented
196C2×#103×C83C2211yescharacteristic, complemented
197C2×#102×C83C2211yescharacteristic, complemented
198C2×#102×C83C2211yescharacteristic, complemented
199#408×C83C2211yescharacteristic, complemented
200#408×C83C2211yescharacteristic, complemented
201C2×C22⋊C8×C83C2211yescharacteristic, complemented
202C2×C22⋊C8×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—21no—
209C2×#41×C83—42no—
210C2×#41×C83—42no—
211C2×#41×C83C2311yescharacteristic
212C2×#41×C83C2311yescharacteristic
213C2×#41×C83C2311yescharacteristic
214C2×#41×C83C2311yescharacteristic
215C2×#41×C83C2311yescharacteristic
216C2×#41×C83C2311yescharacteristic
217C2×#41×C83C2311yescharacteristic
218C2×#41×C83C2311yescharacteristic
219C2×#41×C83C2311yescharacteristic
220C22×Q8×C83C2311yescharacteristic
221C22×D4×C83—21no—
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×C83—21no—
230C22×D4×C83C2311yescharacteristic
231C22×D4×C83C2311yescharacteristic
232C22×D4×C83C2311yescharacteristic
233C22×D4×C83C2311yescharacteristic
234C22×D4×C83C2311yescharacteristic
235C22×D4×C83C2311yescharacteristic
236C23×C4×C83—21no—
237C23×C4×C83C2311yescharacteristic
238AGL(1,ℤ/8)×C83—42no—
239AGL(1,ℤ/8)×C83—42no—
240#135×C83—42no—
241#135×C83—42no—
242#135×C83—42no—
243C2×Q16×C83C2311yescharacteristic
244C2×Q16×C83C2311yescharacteristic
245C2×SD16×C83—42no—
246C2×SD16×C83C2311yescharacteristic
247C2×SD16×C83C2311yescharacteristic
248C2×SD16×C83C2311yescharacteristic
249C2×SD16×C83C2311yescharacteristic
250C2×SD16×C83C2311yescharacteristic
251C2×SD16×C83C2311yescharacteristic
252C2×SD16×C83C2311yescharacteristic
253C2×SD16×C83C2311yescharacteristic
254C2×SD16×C83C2311yescharacteristic
255C2×SD16×C83C2311yescharacteristic
256C2×D8×C83—42no—
257C2×D8×C83—42no—
258C2×D8×C83C2311yescharacteristic
259C2×D8×C83C2311yescharacteristic
260C2×D8×C83C2311yescharacteristic
261C2×D8×C83C2311yescharacteristic
262C2×D8×C83C2311yescharacteristic
263C2×D8×C83C2311yescharacteristic
264C2×D8×C83C2311yescharacteristic
265C2×D8×C83C2311yescharacteristic
266C2×D8×C83C2311yescharacteristic
267C2×D8×C83C2311yescharacteristic
268C2×D8×C83C2311yescharacteristic
269C2×D8×C83C2311yescharacteristic
270C2×M16×C83C2311yescharacteristic
271C2×M16×C83C2311yescharacteristic
272C22×C8×C83C2311yescharacteristic
273C22×C8×C83C2311yescharacteristic
274C22×C8×C83C2311yescharacteristic
275C22×C8×C83C2311yescharacteristic
276C22×C8×C83C2311yescharacteristic
277C22×C8×C83C2311yescharacteristic
278C4⋊Q8×C83C2311yescharacteristic
279#127×C83—21no—
280#127×C83—21no—
281#127×C83—21no—
282#127×C83—21no—
283#127×C83C2311yescharacteristic
284#127×C83C2311yescharacteristic
285#127×C83C2311yescharacteristic
286#126×C83—21no—
287#126×C83—21no—
288#126×C83—21no—
289#125×C83—21no—
290#125×C83C2311yescharacteristic
291#124×C83—21no—
292#124×C83—21no—
293#124×C83—21no—
294#124×C83—21no—
295#124×C83—21no—
296#124×C83—21no—
297#124×C83C2311yescharacteristic
298#124×C83C2311yescharacteristic
299#124×C83C2311yescharacteristic
300#123×C83—21no—
301#123×C83—21no—
302#123×C83—21no—
303#123×C83—21no—
304#123×C83—21no—
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×C83D411yescharacteristic
313#123×C83D411yescharacteristic
314C22⋊Q8×C83—21no—
315C22⋊Q8×C83—21no—
316C22⋊Q8×C83—21no—
317C22⋊Q8×C83—21no—
318C22⋊Q8×C83—21no—
319C22⋊Q8×C83—21no—
320C22⋊Q8×C83D411yescharacteristic
321C22⋊Q8×C83D411yescharacteristic
322C22⋊Q8×C83C2311yescharacteristic
323C22⋊Q8×C83C2311yescharacteristic
324C22⋊Q8×C83C2311yescharacteristic
325C22⋊Q8×C83C2311yescharacteristic
326C22⋊Q8×C83C2311yescharacteristic
327#121×C83—21no—
328#121×C83—21no—
329#121×C83—21no—
330#121×C83—21no—
331#121×C83—21no—
332#121×C83—21no—
333#121×C83—21no—
334#121×C83—21no—
335#121×C83—21no—
336#121×C83—21no—
337#121×C83—21no—
338#121×C83—21no—
339#121×C83—21no—
340#121×C83—21no—
341#121×C83—21no—
342#121×C83—21no—
343#121×C83—21no—
344#121×C83—21no—
345#121×C83—21no—
346#121×C83—21no—
347#121×C83—21no—
348#121×C83—21no—
349#121×C83—21no—
350#121×C83—21no—
351#121×C83—21no—
352#121×C83—21no—
353#121×C83—21no—
354#121×C83—21no—
355#121×C83—21no—
356#121×C83—21no—
357#121×C83—21no—
358#121×C83D411yescharacteristic
359#121×C83D411yescharacteristic
360#121×C83C2311yescharacteristic
361#121×C83C2311yescharacteristic
362#121×C83C2311yescharacteristic
363#121×C83C2311yescharacteristic
364#121×C83C2311yescharacteristic
365#121×C83C2311yescharacteristic
366#121×C83C2311yescharacteristic
367#121×C83C2311yescharacteristic
368#121×C83C2311yescharacteristic
369#121×C83C2311yescharacteristic
370#121×C83C2311yescharacteristic
371#121×C83C2311yescharacteristic
372#121×C83C2311yescharacteristic
373#121×C83C2311yescharacteristic
374#121×C83C2311yescharacteristic
375#120×C83—21no—
376#120×C83—21no—
377#120×C83—21no—
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×C83—21no—
388#120×C83—21no—
389#120×C83—21no—
390#120×C83D411yescharacteristic
391#120×C83D411yescharacteristic
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×C83C2311yescharacteristic
406C4×D4×C83C2311yescharacteristic
407C4×D4×C83C2311yescharacteristic
408C4×D4×C83C2311yescharacteristic
409C4×D4×C83C2311yescharacteristic
410C4×D4×C83C2311yescharacteristic
411C4×D4×C83C2311yescharacteristic
412C4×D4×C83C2311yescharacteristic
413C4×D4×C83C2311yescharacteristic
414#117×C83—21no—
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×C83C2311yescharacteristic
422C2×C4⋊C4×C83C2311yescharacteristic
423C2×C4⋊C4×C83C2311yescharacteristic
424C2×C22⋊C4×C83—21no—
425C2×C22⋊C4×C83—21no—
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#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
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×C83—21no—
495C24×C83—21no—
496C24×C83C2×D411yescharacteristic
497#41×C83—22no—
498#41×C83—22no—
499#41×C83—22no—
500#41×C83—22no—
501#41×C83—22no—
502#41×C83—22no—
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—41no—
510#41×C83—41no—
511#41×C83—44no—
512#41×C83—44no—
513#41×C83—41no—
514#41×C83—41no—
515#41×C83—41no—
516#41×C83—41no—
517#41×C83—44no—
518#41×C83—82no—
519C2×Q8×C83—21no—
520C2×Q8×C83—21no—
521C2×Q8×C83—22no—
522C2×Q8×C83—41no—
523C2×Q8×C83C2×D411yescharacteristic
524C2×Q8×C83C2411yescharacteristic
525C2×Q8×C83C2411yescharacteristic
526C2×Q8×C83C2411yescharacteristic
527C2×D4×C83—21no—
528C2×D4×C83—22no—
529C2×D4×C83—22no—
530C2×D4×C83—22no—
531C2×D4×C83—21no—
532C2×D4×C83—21no—
533C2×D4×C83—21no—
534C2×D4×C83—21no—
535C2×D4×C83—21no—
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—21no—
561C2×D4×C83—21no—
562C2×D4×C83—21no—
563C2×D4×C83—21no—
564C2×D4×C83—21no—
565C2×D4×C83—41no—
566C2×D4×C83—41no—
567C2×D4×C83—41no—
568C2×D4×C83—41no—
569C2×D4×C83—41no—
570C2×D4×C83—41no—
571C2×D4×C83—41no—
572C2×D4×C83—41no—
573C2×D4×C83—41no—
574C2×D4×C83—44no—
575C2×D4×C83—44no—
576C2×D4×C83—44no—
577C2×D4×C83—44no—
578C2×D4×C83—82no—
579C2×D4×C83—82no—
580C2×D4×C83—82no—
581C2×D4×C83—82no—
582C2×D4×C83—82no—
583C2×D4×C83C2×D411yescharacteristic
584C2×D4×C83C2×D411yescharacteristic
585C2×D4×C83C2×D411yescharacteristic
586C2×D4×C83C2×D411yescharacteristic
587C2×D4×C83C2×D411yescharacteristic
588C2×D4×C83C2×D411yescharacteristic
589C2×D4×C83C2×D411yescharacteristic
590C2×D4×C83C2411yescharacteristic
591C2×D4×C83C2411yescharacteristic
592C2×D4×C83C2411yescharacteristic
593C2×D4×C83C2411yescharacteristic
594C2×D4×C83C2411yescharacteristic
595C2×D4×C83C2411yescharacteristic
596C2×D4×C83C2411yescharacteristic
597C22×C4×C83—21no—
598C22×C4×C83—21no—
599C22×C4×C83—21no—
600C22×C4×C83—21no—
601C22×C4×C83—21no—
602C22×C4×C83—21no—
603C22×C4×C83—21no—
604C22×C4×C83—21no—
605C22×C4×C83—21no—
606C22×C4×C83—21no—
607C22×C4×C83—21no—
608C22×C4×C83—21no—
609C22×C4×C83—21no—
610C22×C4×C83—21no—
611C22×C4×C83—21no—
612C22×C4×C83—21no—
613C22×C4×C83—21no—
614C22×C4×C83—41no—
615C22×C4×C83—41no—
616C22×C4×C83—44no—
617C22×C4×C83C2×D411yescharacteristic
618C22×C4×C83C2×D411yescharacteristic
619C22×C4×C83C2×D411yescharacteristic
620C22×C4×C83C2411yescharacteristic
621C22×C4×C83C2411yescharacteristic
622C22×C4×C83C2411yescharacteristic
623C22×C4×C83C2411yescharacteristic
624C22×C4×C83C2411yescharacteristic
625Q16×C83—22no—
626Q16×C83—41no—
627SD16×C83—22no—
628SD16×C83—22no—
629SD16×C83—22no—
630SD16×C83—22no—
631SD16×C83—41no—
632SD16×C83—41no—
633SD16×C83—41no—
634SD16×C83—41no—
635SD16×C83—41no—
636SD16×C83—41no—
637D8×C83—22no—
638D8×C83—22no—
639D8×C83—22no—
640D8×C83—41no—
641D8×C83—41no—
642D8×C83—41no—
643D8×C83—41no—
644D8×C83—41no—
645D8×C83—41no—
646D8×C83—41no—
647D8×C83—41no—
648D8×C83—41no—
649M16×C83—41no—
650M16×C83—41no—
651C2×C8×C83—41no—
652C2×C8×C83—41no—
653C2×C8×C83—41no—
654C2×C8×C83—41no—
655C2×C8×C83—41no—
656C2×C8×C83—41no—
657C2×C8×C83C2411yescharacteristic
658C2×C8×C83C2411yescharacteristic
659C2×C8×C83C2411yescharacteristic
660C2×C8×C83C2411yescharacteristic
661C2×C8×C83C2411yescharacteristic
662C2×C8×C83C2411yescharacteristic
663C2×C8×C83C2411yescharacteristic
664C2×C8×C83C2411yescharacteristic
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×C83—21no—
677C4⋊C4×C83—21no—
678C4⋊C4×C83—21no—
679C4⋊C4×C83C2×D411yescharacteristic
680C4⋊C4×C83C2×D411yescharacteristic
681C4⋊C4×C83C2×D411yescharacteristic
682C4⋊C4×C83C2×D411yescharacteristic
683C4⋊C4×C83C2×D411yescharacteristic
684C4⋊C4×C83C2×D411yescharacteristic
685C4⋊C4×C83C2411yescharacteristic
686C4⋊C4×C83C2411yescharacteristic
687C4⋊C4×C83C2411yescharacteristic
688C4⋊C4×C83C2411yescharacteristic
689C4⋊C4×C83C2411yescharacteristic
690C4⋊C4×C83C2411yescharacteristic
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×C83—21no—
720C22⋊C4×C83—21no—
721C22⋊C4×C83—21no—
722C22⋊C4×C83—21no—
723C22⋊C4×C83—21no—
724C22⋊C4×C83C2×D411yescharacteristic
725C22⋊C4×C83C2×D411yescharacteristic
726C22⋊C4×C83C2×D411yescharacteristic
727C22⋊C4×C83C2×D411yescharacteristic
728C22⋊C4×C83C2×D411yescharacteristic
729C22⋊C4×C83C2×D411yescharacteristic
730C22⋊C4×C83C2×D411yescharacteristic
731C22⋊C4×C83C2×D411yescharacteristic
732C22⋊C4×C83C2×D411yescharacteristic
733C22⋊C4×C83C2×D411yescharacteristic
734C42×C83—21no—
735C42×C83—21no—
736C42×C83—21no—
737C42×C83—21no—
738C42×C83—21no—
739C42×C83C2411yescharacteristic
740C42×C83C2411yescharacteristic
741C23×C83—21no—
742C23×C83—22no—
743C23×C83—21no—
744C23×C83—21no—
745C23×C83—21no—
746C23×C83—21no—
747C23×C83—21no—
748C23×C83—21no—
749C23×C83—41no—
750C23×C83—41no—
751C23×C83—42no—
752C23×C83—42no—
753C23×C83—42no—
754C23×C83—42no—
755C23×C83—42no—
756C23×C83—42no—
757C23×C83—81no—
758C23×C83—81no—
759C23×C83—81no—
760C23×C83—81no—
761C23×C83—81no—
762C23×C83—81no—
763C23×C83—81no—
764C23×C83—81no—
765C23×C83—81no—
766C23×C83—81no—
767C23×C83—81no—
768C23×C83—81no—
769C23×C83C22×D411yescharacteristic
770C23×C83C22×D411yescharacteristic
771C23×C83C22×D411yescharacteristic
772C23×C83C22×D411yescharacteristic
773C23×C83C22×D411yescharacteristic
774Q8×C83—21no—
775Q8×C83—21no—
776Q8×C83—21no—
777Q8×C83—21no—
778Q8×C83—21no—
779Q8×C83—41no—
780Q8×C83—42no—
781Q8×C83—81no—
782Q8×C83H(5,𝔽2)12yes—
783D4×C83—24no—
784D4×C83—22no—
785D4×C83—22no—
786D4×C83—21no—
787D4×C83—21no—
788D4×C83—21no—
789D4×C83—21no—
790D4×C83—21no—
791D4×C83—21no—
792D4×C83—21no—
793D4×C83—21no—
794D4×C83—21no—
795D4×C83—21no—
796D4×C83—21no—
797D4×C83—21no—
798D4×C83—21no—
799D4×C83—41no—
800D4×C83—41no—
801D4×C83—41no—
802D4×C83—41no—
803D4×C83—41no—
804D4×C83—42no—
805D4×C83—42no—
806D4×C83—42no—
807D4×C83—42no—
808D4×C83—42no—
809D4×C83—42no—
810D4×C83—42no—
811D4×C83—42no—
812D4×C83—42no—
813D4×C83—42no—
814D4×C83—42no—
815D4×C83—42no—
816D4×C83—81no—
817D4×C83—81no—
818D4×C83—81no—
819D4×C83—81no—
820D4×C83—81no—
821D4×C83—81no—
822D4×C83—81no—
823D4×C83—81no—
824D4×C83—81no—
825D4×C83—81no—
826D4×C83—81no—
827D4×C83—81no—
828D4×C83—81no—
829D4×C83—81no—
830D4×C83—81no—
831D4×C83—81no—
832D4×C83—81no—
833D4×C83—81no—
834D4×C83—81no—
835D4×C83—81no—
836D4×C83—81no—
837D4×C83—81no—
838D4×C83H(5,𝔽2)12yes—
839C2×C4×C83—24no—
840C2×C4×C83—21no—
841C2×C4×C83—21no—
842C2×C4×C83—21no—
843C2×C4×C83—21no—
844C2×C4×C83—21no—
845C2×C4×C83—21no—
846C2×C4×C83—21no—
847C2×C4×C83—21no—
848C2×C4×C83—21no—
849C2×C4×C83—21no—
850C2×C4×C83—21no—
851C2×C4×C83—21no—
852C2×C4×C83—21no—
853C2×C4×C83—21no—
854C2×C4×C83—21no—
855C2×C4×C83—21no—
856C2×C4×C83—21no—
857C2×C4×C83—21no—
858C2×C4×C83—21no—
859C2×C4×C83—41no—
860C2×C4×C83—41no—
861C2×C4×C83—41no—
862C2×C4×C83—42no—
863C2×C4×C83—42no—
864C2×C4×C83—42no—
865C2×C4×C83—42no—
866C2×C4×C83—42no—
867C2×C4×C83—42no—
868C2×C4×C83—42no—
869C2×C4×C83—81no—
870C2×C4×C83—81no—
871C2×C4×C83—81no—
872C2×C4×C83—81no—
873C2×C4×C83—81no—
874C2×C4×C83—81no—
875C2×C4×C83—81no—
876C2×C4×C83—81no—
877C2×C4×C83—81no—
878C2×C4×C83C22×D411yescharacteristic
879C2×C4×C83C22×D411yescharacteristic
880C2×C4×C83C22×D411yescharacteristic
881C2×C4×C83C22×D411yescharacteristic
882C2×C4×C83C22×D411yescharacteristic
883C2×C4×C83C22×D411yescharacteristic
884C2×C4×C83C22×D411yescharacteristic
885C2×C4×C83C22×D411yescharacteristic
886C2×C4×C83C22×D411yescharacteristic
887C2×C4×C83C2511yescharacteristic
888C8×C83—21no—
889C8×C83—21no—
890C8×C83—21no—
891C8×C83—21no—
892C8×C83—21no—
893C8×C83—21no—
894C8×C83—21no—
895C8×C83—21no—
896C22×C83—21no—
897C22×C83—21no—
898C22×C83—21no—
899C22×C83—21no—
900C22×C83—21no—
901C22×C83—21no—
902C22×C83—21no—
903C22×C83—22no—
904C22×C83—21no—
905C22×C83—21no—
906C22×C83—21no—
907C22×C83—21no—
908C22×C83—21no—
909C22×C83—21no—
910C22×C83—21no—
911C22×C83—41no—
912C22×C83—41no—
913C22×C83—41no—
914C22×C83—41no—
915C22×C83—41no—
916C22×C83—41no—
917C22×C83—41no—
918C22×C83—41no—
919C22×C83—41no—
920C22×C83—41no—
921C22×C83—41no—
922C22×C83—41no—
923C22×C83—41no—
924C22×C83—41no—
925C22×C83—41no—
926C22×C83—41no—
927C22×C83—41no—
928C22×C83—41no—
929C22×C83—41no—
930C22×C83—41no—
931C22×C83—82no—
932C22×C83—84no—
933C22×C83—162no—
934C22×C83—162no—
935C22×C83—162no—
936C22×C83—162no—
937C22×C83—162no—
938C22×C83#57612yes—
939C22×C83C23×D411yescharacteristic
940C4×C83—21no—
941C4×C83—21no—
942C4×C83—21no—
943C4×C83—22no—
944C4×C83—21no—
945C4×C83—21no—
946C4×C83—21no—
947C4×C83—21no—
948C4×C83—21no—
949C4×C83—21no—
950C4×C83—41no—
951C4×C83—41no—
952C4×C83—41no—
953C4×C83—41no—
954C4×C83—41no—
955C4×C83—41no—
956C4×C83—41no—
957C4×C83—41no—
958C4×C83C2×H(5,𝔽2)11yescharacteristic
959C4×C83C2×H(5,𝔽2)11yescharacteristic
960#61639C8311yesmaximal, characteristic, direct product factor, Sylow
961C2×C83—22no—
962C2×C83—41no—
963C2×C83—41no—
964C2×C83—41no—
965C2×C83—41no—
966C2×C83—42no—
967C2×C83—81no—
968C2×C83—81no—
969C2×C83—81no—
970C2×C83—81no—
971C2×C83—81no—
972C2×C83—81no—
973C2×C83#348411yescharacteristic
974C2×C83C2×#57611yescharacteristic
975C2×C83#358411yescharacteristic
976#3542C2×C8311yescharacteristic, complemented
977#3488C2×C8311yescharacteristic, complemented
978#3319C2×C8311yescharacteristic, complemented
979#3310C2×C8311yescharacteristic, complemented
980#3309C2×C8311yescharacteristic, complemented
981#3308C2×C8311yescharacteristic, complemented
982#3305C2×C8311yescharacteristic, complemented
983#3300C2×C8311yescharacteristic, complemented
984#3297C2×C8311yescharacteristic, complemented
985#3294C2×C8311yescharacteristic, complemented
986#3287C2×C8311yescharacteristic, complemented
987#3282C2×C8311yescharacteristic, complemented
988#3280C2×C8311yescharacteristic, complemented
989D4×D8C2×C8311yescharacteristic, complemented
990#3268C2×C8311yescharacteristic, complemented
991#3268C2×C8311yescharacteristic, complemented
992#3265C2×C8311yescharacteristic, complemented
993#3264C2×C8311yescharacteristic, complemented
994#3224C2×C8311yescharacteristic, complemented
995#3220C2×C8311yescharacteristic, complemented
996#3203C2×C8311yescharacteristic, complemented
997#3198C2×C8311yescharacteristic, complemented
998#3188C2×C8311yescharacteristic, complemented
999#3186C2×C8311yescharacteristic, complemented
1000#3124C2×C8311yescharacteristic, complemented
1001#3119C2×C8311yescharacteristic, complemented
1002#3012C2×C8311yescharacteristic, complemented
1003#3008C2×C8311yescharacteristic, complemented
1004#3002C2×C8311yescharacteristic, complemented
1005C2×#449C2×C8311yescharacteristic, complemented
1006#2977C2×C8311yescharacteristic, complemented
1007C83#6163911yescharacteristic, direct product factor, Sylow
1008C2×H(5,𝔽2)C22×C8311yescharacteristic, complemented
1009C22×#41C22×C8311yescharacteristic, complemented
1010C2×AGL(1,ℤ/8)C22×C8311yescharacteristic, complemented
1011C2×AGL(1,ℤ/8)C22×C8311yescharacteristic, complemented
1012C2×#135C22×C8311yescharacteristic, complemented
1013C2×#135C22×C8311yescharacteristic, complemented
1014C2×#135C22×C8311yescharacteristic, complemented
1015C22×SD16C22×C8311yescharacteristic, complemented
1016C22×D8C22×C8311yescharacteristic, complemented
1017C22×D8C22×C8311yescharacteristic, complemented
1018#562—21no—
1019#560—21no—
1020#555C22×C8311yescharacteristic, complemented
1021#553C22×C8311yescharacteristic, complemented
1022#552C22×C8311yescharacteristic, complemented
1023#551—21no—
1024#550C22×C8311yescharacteristic, complemented
1025#550C22×C8311yescharacteristic, complemented
1026#550C22×C8311yescharacteristic, complemented
1027#548C22×C8311yescharacteristic
1028#548C22×C8311yescharacteristic, complemented
1029#547C22×C8311yescharacteristic, complemented
1030#546—21no—
1031#546—21no—
1032#546—21no—
1033#546C22×C8311yescharacteristic, complemented
1034#546C22×C8311yescharacteristic, complemented
1035#546C22×C8311yescharacteristic, complemented
1036#546C22×C8311yescharacteristic, complemented
1037D42—21no—
1038D42—21no—
1039D42C22×C8311yescharacteristic
1040D42C22×C8311yescharacteristic, complemented
1041D42C22×C8311yescharacteristic, complemented
1042#542C22×C8311yescharacteristic, complemented
1043#540—21no—
1044#540C22×C8311yescharacteristic, complemented
1045#538—21no—
1046#537—21no—
1047#537C22×C8311yescharacteristic, complemented
1048#537C22×C8311yescharacteristic, complemented
1049#535—21no—
1050#535—21no—
1051#535C22×C8311yescharacteristic, complemented
1052#535C22×C8311yescharacteristic, complemented
1053#534—21no—
1054#525—21no—
1055#525C22×C8311yescharacteristic
1056#525C22×C8311yescharacteristic, complemented
1057C2×#121—21no—
1058C2×#121C22×C8311yescharacteristic, complemented
1059C2×#121C22×C8311yescharacteristic, complemented
1060#520C22×C8311yescharacteristic, complemented
1061#496C22×C8311yescharacteristic, complemented
1062#496C22×C8311yescharacteristic, complemented
1063#495C22×C8311yescharacteristic, complemented
1064#493C22×C8311yescharacteristic, complemented
1065#490C22×C8311yescharacteristic, complemented
1066#489C22×C8311yescharacteristic, complemented
1067#488C22×C8311yescharacteristic, complemented
1068#486C22×C8311yescharacteristic, complemented
1069#485C22×C8311yescharacteristic, complemented
1070#484C22×C8311yescharacteristic, complemented
1071#484C22×C8311yescharacteristic, complemented
1072#482C22×C8311yescharacteristic, complemented
1073#482C22×C8311yescharacteristic, complemented
1074#482C22×C8311yescharacteristic, complemented
1075#481C22×C8311yescharacteristic, complemented
1076#480C22×C8311yescharacteristic, complemented
1077#480C22×C8311yescharacteristic, complemented
1078#480C22×C8311yescharacteristic, complemented
1079#480C22×C8311yescharacteristic, complemented
1080#480C22×C8311yescharacteristic, complemented
1081#479C22×C8311yescharacteristic, complemented
1082#478C22×C8311yescharacteristic, complemented
1083#477C22×C8311yescharacteristic, complemented
1084#474C22×C8311yescharacteristic, complemented
1085#469C22×C8311yescharacteristic, complemented
1086#468C22×C8311yescharacteristic, complemented
1087#468C22×C8311yescharacteristic, complemented
1088#468C22×C8311yescharacteristic, complemented
1089#467C22×C8311yescharacteristic, complemented
1090#466C22×C8311yescharacteristic, complemented
1091#466C22×C8311yescharacteristic, complemented
1092#466C22×C8311yescharacteristic, complemented
1093#466C22×C8311yescharacteristic, complemented
1094#466C22×C8311yescharacteristic, complemented
1095#466C22×C8311yescharacteristic, complemented
1096#466C22×C8311yescharacteristic, complemented
1097#466C22×C8311yescharacteristic, complemented
1098#465C22×C8311yescharacteristic, complemented
1099#465C22×C8311yescharacteristic, complemented
1100#465C22×C8311yescharacteristic, complemented
1101#464C22×C8311yescharacteristic, complemented
1102#464C22×C8311yescharacteristic, complemented
1103#463C22×C8311yescharacteristic, complemented
1104#463C22×C8311yescharacteristic, complemented
1105#463C22×C8311yescharacteristic, complemented
1106#463C22×C8311yescharacteristic, complemented
1107#460C22×C8311yescharacteristic, complemented
1108#460C22×C8311yescharacteristic, complemented
1109#459C22×C8311yescharacteristic, complemented
1110#459C22×C8311yescharacteristic, complemented
1111#459C22×C8311yescharacteristic, complemented
1112#459C22×C8311yescharacteristic, complemented
1113#452C22×C8311yescharacteristic, complemented
1114#452C22×C8311yescharacteristic, complemented
1115#452C22×C8311yescharacteristic, complemented
1116#452C22×C8311yescharacteristic, complemented
1117#451C22×C8311yescharacteristic, complemented
1118#450C22×C8311yescharacteristic, complemented
1119#450C22×C8311yescharacteristic, complemented
1120#450C22×C8311yescharacteristic, complemented
1121#450C22×C8311yescharacteristic, complemented
1122#449C22×C8311yescharacteristic
1123#449C22×C8311yescharacteristic, complemented
1124#449C22×C8311yescharacteristic, complemented
1125#449C22×C8311yescharacteristic, complemented
1126#449C22×C8311yescharacteristic, complemented
1127#449C22×C8311yescharacteristic, complemented
1128#449C22×C8311yescharacteristic, complemented
1129#449C22×C8311yescharacteristic, complemented
1130#449C22×C8311yescharacteristic, complemented
1131#449C22×C8311yescharacteristic, complemented
1132#449C22×C8311yescharacteristic, complemented
1133#449C22×C8311yescharacteristic, complemented
1134#449C22×C8311yescharacteristic, complemented
1135#449C22×C8311yescharacteristic, complemented
1136#449C22×C8311yescharacteristic, complemented
1137#449C22×C8311yescharacteristic, complemented
1138#448C22×C8311yescharacteristic, complemented
1139#447C22×C8311yescharacteristic, complemented
1140#447C22×C8311yescharacteristic, complemented
1141#447C22×C8311yescharacteristic, complemented
1142#447C22×C8311yescharacteristic, complemented
1143#447C22×C8311yescharacteristic, complemented
1144#447C22×C8311yescharacteristic, complemented
1145#447C22×C8311yescharacteristic, complemented
1146#447C22×C8311yescharacteristic, complemented
1147#447C22×C8311yescharacteristic, complemented
1148#447C22×C8311yescharacteristic, complemented
1149#442C22×C8311yescharacteristic, complemented
1150#440C22×C8311yescharacteristic, complemented
1151#440C22×C8311yescharacteristic, complemented
1152#440C22×C8311yescharacteristic, complemented
1153C4×Q16C22×C8311yescharacteristic, complemented
1154C4×SD16C22×C8311yescharacteristic, complemented
1155C4×D8C22×C8311yescharacteristic, complemented
1156C4×D8C22×C8311yescharacteristic, complemented
1157#435C22×C8311yescharacteristic, complemented
1158#435C22×C8311yescharacteristic, complemented
1159#435C22×C8311yescharacteristic, complemented
1160#435C22×C8311yescharacteristic, complemented
1161C8×D4C22×C8311yescharacteristic, complemented
1162C8×D4C22×C8311yescharacteristic, complemented
1163C8×D4C22×C8311yescharacteristic, complemented
1164C8×D4C22×C8311yescharacteristic, complemented
1165#433C22×C8311yescharacteristic, complemented
1166#433C22×C8311yescharacteristic, complemented
1167#418C22×C8311yescharacteristic, complemented
1168#417C22×C8311yescharacteristic, complemented
1169#416C22×C8311yescharacteristic, complemented
1170#416C22×C8311yescharacteristic, complemented
1171#416C22×C8311yescharacteristic, complemented
1172C2×#103C22×C8311yescharacteristic, complemented
1173C2×#102C22×C8311yescharacteristic, complemented
1174C2×#102C22×C8311yescharacteristic, complemented
1175#408C22×C8311yescharacteristic, complemented
1176#408C22×C8311yescharacteristic, complemented
1177C2×C22⋊C8C22×C8311yescharacteristic, complemented
1178C2×C22⋊C8C22×C8311yescharacteristic, complemented
1179H(5,𝔽2)—42no—
1180H(5,𝔽2)—42no—
1181C2×#41—21no—
1182C2×#41—21no—
1183C2×#41—21no—
1184C2×#41—21no—
1185C2×#41—42no—
1186C2×#41—42no—
1187C2×#41C23×C8311yescharacteristic
1188C2×#41C23×C8311yescharacteristic
1189C2×#41C23×C8311yescharacteristic
1190C2×#41C23×C8311yescharacteristic
1191C2×#41C23×C8311yescharacteristic
1192C2×#41C23×C8311yescharacteristic
1193C2×#41C23×C8311yescharacteristic
1194C2×#41C23×C8311yescharacteristic
1195C2×#41C23×C8311yescharacteristic
1196C22×Q8C23×C8311yescharacteristic
1197C22×D4—21no—
1198C22×D4—21no—
1199C22×D4—21no—
1200C22×D4—21no—
1201C22×D4—21no—
1202C22×D4—21no—
1203C22×D4—21no—
1204C22×D4—21no—
1205C22×D4—21no—
1206C22×D4C23×C8311yescharacteristic
1207C22×D4C23×C8311yescharacteristic
1208C22×D4C23×C8311yescharacteristic
1209C22×D4C23×C8311yescharacteristic
1210C22×D4C23×C8311yescharacteristic
1211C22×D4C23×C8311yescharacteristic
1212C23×C4—21no—
1213C23×C4C23×C8311yescharacteristic
1214AGL(1,ℤ/8)—42no—
1215AGL(1,ℤ/8)—42no—
1216#135—42no—
1217#135—42no—
1218#135—42no—
1219C2×Q16C23×C8311yescharacteristic
1220C2×Q16C23×C8311yescharacteristic
1221C2×SD16—42no—
1222C2×SD16C23×C8311yescharacteristic
1223C2×SD16C23×C8311yescharacteristic
1224C2×SD16C23×C8311yescharacteristic
1225C2×SD16C23×C8311yescharacteristic
1226C2×SD16C23×C8311yescharacteristic
1227C2×SD16C23×C8311yescharacteristic
1228C2×SD16C23×C8311yescharacteristic
1229C2×SD16C23×C8311yescharacteristic
1230C2×SD16C23×C8311yescharacteristic
1231C2×SD16C23×C8311yescharacteristic
1232C2×D8—42no—
1233C2×D8—42no—
1234C2×D8C23×C8311yescharacteristic
1235C2×D8C23×C8311yescharacteristic
1236C2×D8C23×C8311yescharacteristic
1237C2×D8C23×C8311yescharacteristic
1238C2×D8C23×C8311yescharacteristic
1239C2×D8C23×C8311yescharacteristic
1240C2×D8C23×C8311yescharacteristic
1241C2×D8C23×C8311yescharacteristic
1242C2×D8C23×C8311yescharacteristic
1243C2×D8C23×C8311yescharacteristic
1244C2×D8C23×C8311yescharacteristic
1245C2×D8C23×C8311yescharacteristic
1246C2×M16C23×C8311yescharacteristic
1247C2×M16C23×C8311yescharacteristic
1248C22×C8C23×C8311yescharacteristic
1249C22×C8C23×C8311yescharacteristic
1250C22×C8C23×C8311yescharacteristic
1251C22×C8C23×C8311yescharacteristic
1252C22×C8C23×C8311yescharacteristic
1253C22×C8C23×C8311yescharacteristic
1254C4⋊Q8C23×C8311yescharacteristic
1255#127—21no—
1256#127—21no—
1257#127—21no—
1258#127—21no—
1259#127C23×C8311yescharacteristic
1260#127C23×C8311yescharacteristic
1261#127C23×C8311yescharacteristic
1262#126—21no—
1263#126—21no—
1264#126—21no—
1265#125—21no—
1266#125C23×C8311yescharacteristic
1267#124—21no—
1268#124—21no—
1269#124—21no—
1270#124—21no—
1271#124—21no—
1272#124—21no—
1273#124C23×C8311yescharacteristic
1274#124C23×C8311yescharacteristic
1275#124C23×C8311yescharacteristic
1276#123—21no—
1277#123—21no—
1278#123—21no—
1279#123—21no—
1280#123—21no—
1281#123—21no—
1282#123—21no—
1283#123—21no—
1284#123—21no—
1285#123—21no—
1286#123—21no—
1287#123—21no—
1288#123D4×C8311yescharacteristic
1289#123D4×C8311yescharacteristic
1290C22⋊Q8—21no—
1291C22⋊Q8—21no—
1292C22⋊Q8—21no—
1293C22⋊Q8—21no—
1294C22⋊Q8—21no—
1295C22⋊Q8—21no—
1296C22⋊Q8D4×C8311yescharacteristic
1297C22⋊Q8D4×C8311yescharacteristic
1298C22⋊Q8C23×C8311yescharacteristic
1299C22⋊Q8C23×C8311yescharacteristic
1300C22⋊Q8C23×C8311yescharacteristic
1301C22⋊Q8C23×C8311yescharacteristic
1302C22⋊Q8C23×C8311yescharacteristic
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#121—21no—
1319#121—21no—
1320#121—21no—
1321#121—21no—
1322#121—21no—
1323#121—21no—
1324#121—21no—
1325#121—21no—
1326#121—21no—
1327#121—21no—
1328#121—21no—
1329#121—21no—
1330#121—21no—
1331#121—21no—
1332#121—21no—
1333#121—21no—
1334#121D4×C8311yescharacteristic
1335#121D4×C8311yescharacteristic
1336#121C23×C8311yescharacteristic
1337#121C23×C8311yescharacteristic
1338#121C23×C8311yescharacteristic
1339#121C23×C8311yescharacteristic
1340#121C23×C8311yescharacteristic
1341#121C23×C8311yescharacteristic
1342#121C23×C8311yescharacteristic
1343#121C23×C8311yescharacteristic
1344#121C23×C8311yescharacteristic
1345#121C23×C8311yescharacteristic
1346#121C23×C8311yescharacteristic
1347#121C23×C8311yescharacteristic
1348#121C23×C8311yescharacteristic
1349#121C23×C8311yescharacteristic
1350#121C23×C8311yescharacteristic
1351#120—21no—
1352#120—21no—
1353#120—21no—
1354#120—21no—
1355#120—21no—
1356#120—21no—
1357#120—21no—
1358#120—21no—
1359#120—21no—
1360#120—21no—
1361#120—21no—
1362#120—21no—
1363#120—21no—
1364#120—21no—
1365#120—21no—
1366#120D4×C8311yescharacteristic
1367#120D4×C8311yescharacteristic
1368C4×Q8C23×C8311yescharacteristic
1369C4×Q8C23×C8311yescharacteristic
1370C4×Q8C23×C8311yescharacteristic
1371C4×D4—21no—
1372C4×D4—21no—
1373C4×D4—21no—
1374C4×D4—21no—
1375C4×D4—21no—
1376C4×D4—21no—
1377C4×D4—21no—
1378C4×D4—21no—
1379C4×D4—21no—
1380C4×D4—21no—
1381C4×D4C23×C8311yescharacteristic
1382C4×D4C23×C8311yescharacteristic
1383C4×D4C23×C8311yescharacteristic
1384C4×D4C23×C8311yescharacteristic
1385C4×D4C23×C8311yescharacteristic
1386C4×D4C23×C8311yescharacteristic
1387C4×D4C23×C8311yescharacteristic
1388C4×D4C23×C8311yescharacteristic
1389C4×D4C23×C8311yescharacteristic
1390#117—21no—
1391#117—21no—
1392#117—21no—
1393#117C23×C8311yescharacteristic
1394#117C23×C8311yescharacteristic
1395#117C23×C8311yescharacteristic
1396C2×C4⋊C4—21no—
1397C2×C4⋊C4C23×C8311yescharacteristic
1398C2×C4⋊C4C23×C8311yescharacteristic
1399C2×C4⋊C4C23×C8311yescharacteristic
1400C2×C22⋊C4—21no—
1401C2×C22⋊C4—21no—
1402C2×C22⋊C4—21no—
1403C2×C22⋊C4—21no—
1404C2×C22⋊C4—21no—
1405C2×C22⋊C4—21no—
1406#107C23×C8311yescharacteristic
1407#107C23×C8311yescharacteristic
1408#107C23×C8311yescharacteristic
1409#107C23×C8311yescharacteristic
1410#107C23×C8311yescharacteristic
1411#107C23×C8311yescharacteristic
1412#106C23×C8311yescharacteristic
1413#106C23×C8311yescharacteristic
1414C4⋊C8C23×C8311yescharacteristic
1415C4⋊C8C23×C8311yescharacteristic
1416C4⋊C8C23×C8311yescharacteristic
1417C4⋊C8C23×C8311yescharacteristic
1418#103C23×C8311yescharacteristic
1419#103C23×C8311yescharacteristic
1420#103C23×C8311yescharacteristic
1421#103C23×C8311yescharacteristic
1422#103C23×C8311yescharacteristic
1423#103C23×C8311yescharacteristic
1424#103C23×C8311yescharacteristic
1425#103C23×C8311yescharacteristic
1426#103C23×C8311yescharacteristic
1427#103C23×C8311yescharacteristic
1428#102C23×C8311yescharacteristic
1429#102C23×C8311yescharacteristic
1430#102C23×C8311yescharacteristic
1431#102C23×C8311yescharacteristic
1432#102C23×C8311yescharacteristic
1433#102C23×C8311yescharacteristic
1434#102C23×C8311yescharacteristic
1435#102C23×C8311yescharacteristic
1436#102C23×C8311yescharacteristic
1437#102C23×C8311yescharacteristic
1438#102C23×C8311yescharacteristic
1439#102C23×C8311yescharacteristic
1440#102C23×C8311yescharacteristic
1441#102C23×C8311yescharacteristic
1442#102C23×C8311yescharacteristic
1443#102C23×C8311yescharacteristic
1444#102C23×C8311yescharacteristic
1445#102C23×C8311yescharacteristic
1446#102C23×C8311yescharacteristic
1447#102C23×C8311yescharacteristic
1448#102C23×C8311yescharacteristic
1449#102C23×C8311yescharacteristic
1450C22⋊C8C23×C8311yescharacteristic
1451C22⋊C8C23×C8311yescharacteristic
1452C22⋊C8C23×C8311yescharacteristic
1453C22⋊C8C23×C8311yescharacteristic
1454C22⋊C8C23×C8311yescharacteristic
1455C22⋊C8C23×C8311yescharacteristic
1456C22⋊C8C23×C8311yescharacteristic
1457C22⋊C8C23×C8311yescharacteristic
1458C22⋊C8C23×C8311yescharacteristic
1459C22⋊C8C23×C8311yescharacteristic
1460C22⋊C8C23×C8311yescharacteristic
1461C22⋊C8C23×C8311yescharacteristic
1462#97C23×C8311yescharacteristic
1463#97C23×C8311yescharacteristic
1464C4×C8C23×C8311yescharacteristic
1465C4×C8C23×C8311yescharacteristic
1466C24—21no—
1467C24—21no—
1468C24—21no—
1469C24—21no—
1470C24—21no—
1471C24—21no—
1472C24C2×D4×C8311yescharacteristic
1473#41—22no—
1474#41—22no—
1475#41—22no—
1476#41—22no—
1477#41—22no—
1478#41—22no—
1479#41—41no—
1480#41—41no—
1481#41—41no—
1482#41—41no—
1483#41—41no—
1484#41—41no—
1485#41—41no—
1486#41—41no—
1487#41—44no—
1488#41—44no—
1489#41—41no—
1490#41—41no—
1491#41—41no—
1492#41—41no—
1493#41—44no—
1494#41—82no—
1495C2×Q8—21no—
1496C2×Q8—21no—
1497C2×Q8—22no—
1498C2×Q8—41no—
1499C2×Q8C2×D4×C8311yescharacteristic
1500C2×Q8C24×C8311yescharacteristic
1501C2×Q8C24×C8311yescharacteristic
1502C2×Q8C24×C8311yescharacteristic
1503C2×D4—21no—
1504C2×D4—22no—
1505C2×D4—22no—
1506C2×D4—22no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—21no—
1528C2×D4—21no—
1529C2×D4—21no—
1530C2×D4—21no—
1531C2×D4—21no—
1532C2×D4—21no—
1533C2×D4—21no—
1534C2×D4—21no—
1535C2×D4—21no—
1536C2×D4—21no—
1537C2×D4—21no—
1538C2×D4—21no—
1539C2×D4—21no—
1540C2×D4—21no—
1541C2×D4—41no—
1542C2×D4—41no—
1543C2×D4—41no—
1544C2×D4—41no—
1545C2×D4—41no—
1546C2×D4—41no—
1547C2×D4—41no—
1548C2×D4—41no—
1549C2×D4—41no—
1550C2×D4—44no—
1551C2×D4—44no—
1552C2×D4—44no—
1553C2×D4—44no—
1554C2×D4—82no—
1555C2×D4—82no—
1556C2×D4—82no—
1557C2×D4—82no—
1558C2×D4—82no—
1559C2×D4C2×D4×C8311yescharacteristic
1560C2×D4C2×D4×C8311yescharacteristic
1561C2×D4C2×D4×C8311yescharacteristic
1562C2×D4C2×D4×C8311yescharacteristic
1563C2×D4C2×D4×C8311yescharacteristic
1564C2×D4C2×D4×C8311yescharacteristic
1565C2×D4C2×D4×C8311yescharacteristic
1566C2×D4C24×C8311yescharacteristic
1567C2×D4C24×C8311yescharacteristic
1568C2×D4C24×C8311yescharacteristic
1569C2×D4C24×C8311yescharacteristic
1570C2×D4C24×C8311yescharacteristic
1571C2×D4C24×C8311yescharacteristic
1572C2×D4C24×C8311yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—21no—
1578C22×C4—21no—
1579C22×C4—21no—
1580C22×C4—21no—
1581C22×C4—21no—
1582C22×C4—21no—
1583C22×C4—21no—
1584C22×C4—21no—
1585C22×C4—21no—
1586C22×C4—21no—
1587C22×C4—21no—
1588C22×C4—21no—
1589C22×C4—21no—
1590C22×C4—41no—
1591C22×C4—41no—
1592C22×C4—44no—
1593C22×C4C2×D4×C8311yescharacteristic
1594C22×C4C2×D4×C8311yescharacteristic
1595C22×C4C2×D4×C8311yescharacteristic
1596C22×C4C24×C8311yescharacteristic
1597C22×C4C24×C8311yescharacteristic
1598C22×C4C24×C8311yescharacteristic
1599C22×C4C24×C8311yescharacteristic
1600C22×C4C24×C8311yescharacteristic
1601Q16—22no—
1602Q16—41no—
1603SD16—22no—
1604SD16—22no—
1605SD16—22no—
1606SD16—22no—
1607SD16—41no—
1608SD16—41no—
1609SD16—41no—
1610SD16—41no—
1611SD16—41no—
1612SD16—41no—
1613D8—22no—
1614D8—22no—
1615D8—22no—
1616D8—41no—
1617D8—41no—
1618D8—41no—
1619D8—41no—
1620D8—41no—
1621D8—41no—
1622D8—41no—
1623D8—41no—
1624D8—41no—
1625M16—41no—
1626M16—41no—
1627C2×C8—41no—
1628C2×C8—41no—
1629C2×C8—41no—
1630C2×C8—41no—
1631C2×C8—41no—
1632C2×C8—41no—
1633C2×C8C24×C8311yescharacteristic
1634C2×C8C24×C8311yescharacteristic
1635C2×C8C24×C8311yescharacteristic
1636C2×C8C24×C8311yescharacteristic
1637C2×C8C24×C8311yescharacteristic
1638C2×C8C24×C8311yescharacteristic
1639C2×C8C24×C8311yescharacteristic
1640C2×C8C24×C8311yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—21no—
1645C4⋊C4—21no—
1646C4⋊C4—21no—
1647C4⋊C4—21no—
1648C4⋊C4—21no—
1649C4⋊C4—21no—
1650C4⋊C4—21no—
1651C4⋊C4—21no—
1652C4⋊C4—21no—
1653C4⋊C4—21no—
1654C4⋊C4—21no—
1655C4⋊C4C2×D4×C8311yescharacteristic
1656C4⋊C4C2×D4×C8311yescharacteristic
1657C4⋊C4C2×D4×C8311yescharacteristic
1658C4⋊C4C2×D4×C8311yescharacteristic
1659C4⋊C4C2×D4×C8311yescharacteristic
1660C4⋊C4C2×D4×C8311yescharacteristic
1661C4⋊C4C24×C8311yescharacteristic
1662C4⋊C4C24×C8311yescharacteristic
1663C4⋊C4C24×C8311yescharacteristic
1664C4⋊C4C24×C8311yescharacteristic
1665C4⋊C4C24×C8311yescharacteristic
1666C4⋊C4C24×C8311yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—21no—
1677C22⋊C4—21no—
1678C22⋊C4—21no—
1679C22⋊C4—21no—
1680C22⋊C4—21no—
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—21no—
1695C22⋊C4—21no—
1696C22⋊C4—21no—
1697C22⋊C4—21no—
1698C22⋊C4—21no—
1699C22⋊C4—21no—
1700C22⋊C4C2×D4×C8311yescharacteristic
1701C22⋊C4C2×D4×C8311yescharacteristic
1702C22⋊C4C2×D4×C8311yescharacteristic
1703C22⋊C4C2×D4×C8311yescharacteristic
1704C22⋊C4C2×D4×C8311yescharacteristic
1705C22⋊C4C2×D4×C8311yescharacteristic
1706C22⋊C4C2×D4×C8311yescharacteristic
1707C22⋊C4C2×D4×C8311yescharacteristic
1708C22⋊C4C2×D4×C8311yescharacteristic
1709C22⋊C4C2×D4×C8311yescharacteristic
1710C42—21no—
1711C42—21no—
1712C42—21no—
1713C42—21no—
1714C42—21no—
1715C42C24×C8311yescharacteristic
1716C42C24×C8311yescharacteristic
1717C23—21no—
1718C23—22no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—21no—
1723C23—21no—
1724C23—21no—
1725C23—41no—
1726C23—41no—
1727C23—42no—
1728C23—42no—
1729C23—42no—
1730C23—42no—
1731C23—42no—
1732C23—42no—
1733C23—81no—
1734C23—81no—
1735C23—81no—
1736C23—81no—
1737C23—81no—
1738C23—81no—
1739C23—81no—
1740C23—81no—
1741C23—81no—
1742C23—81no—
1743C23—81no—
1744C23—81no—
1745C23C22×D4×C8311yescharacteristic
1746C23C22×D4×C8311yescharacteristic
1747C23C22×D4×C8311yescharacteristic
1748C23C22×D4×C8311yescharacteristic
1749C23C22×D4×C8311yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—41no—
1756Q8—42no—
1757Q8—81no—
1758Q8H(5,𝔽2)×C8312yes—
1759D4—24no—
1760D4—22no—
1761D4—22no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—21no—
1770D4—21no—
1771D4—21no—
1772D4—21no—
1773D4—21no—
1774D4—21no—
1775D4—41no—
1776D4—41no—
1777D4—41no—
1778D4—41no—
1779D4—41no—
1780D4—42no—
1781D4—42no—
1782D4—42no—
1783D4—42no—
1784D4—42no—
1785D4—42no—
1786D4—42no—
1787D4—42no—
1788D4—42no—
1789D4—42no—
1790D4—42no—
1791D4—42no—
1792D4—81no—
1793D4—81no—
1794D4—81no—
1795D4—81no—
1796D4—81no—
1797D4—81no—
1798D4—81no—
1799D4—81no—
1800D4—81no—
1801D4—81no—
1802D4—81no—
1803D4—81no—
1804D4—81no—
1805D4—81no—
1806D4—81no—
1807D4—81no—
1808D4—81no—
1809D4—81no—
1810D4—81no—
1811D4—81no—
1812D4—81no—
1813D4—81no—
1814D4H(5,𝔽2)×C8312yes—
1815C2×C4—24no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—41no—
1836C2×C4—41no—
1837C2×C4—41no—
1838C2×C4—42no—
1839C2×C4—42no—
1840C2×C4—42no—
1841C2×C4—42no—
1842C2×C4—42no—
1843C2×C4—42no—
1844C2×C4—42no—
1845C2×C4—81no—
1846C2×C4—81no—
1847C2×C4—81no—
1848C2×C4—81no—
1849C2×C4—81no—
1850C2×C4—81no—
1851C2×C4—81no—
1852C2×C4—81no—
1853C2×C4—81no—
1854C2×C4C22×D4×C8311yescharacteristic
1855C2×C4C22×D4×C8311yescharacteristic
1856C2×C4C22×D4×C8311yescharacteristic
1857C2×C4C22×D4×C8311yescharacteristic
1858C2×C4C22×D4×C8311yescharacteristic
1859C2×C4C22×D4×C8311yescharacteristic
1860C2×C4C22×D4×C8311yescharacteristic
1861C2×C4C22×D4×C8311yescharacteristic
1862C2×C4C22×D4×C8311yescharacteristic
1863C2×C4C25×C8311yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—21no—
1869C8—21no—
1870C8—21no—
1871C8—21no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—21no—
1880C22—21no—
1881C22—21no—
1882C22—21no—
1883C22—22no—
1884C22—21no—
1885C22—21no—
1886C22—21no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—82no—
1908C22—84no—
1909C22—162no—
1910C22—162no—
1911C22—162no—
1912C22—162no—
1913C22—162no—
1914C22#576×C8312yes—
1915C22C23×D4×C8311yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—21no—
1921C4—22no—
1922C4—21no—
1923C4—21no—
1924C4—21no—
1925C4—21no—
1926C4—41no—
1927C4—41no—
1928C4—41no—
1929C4—41no—
1930C4—41no—
1931C4—41no—
1932C4—41no—
1933C4—41no—
1934C4C2×H(5,𝔽2)×C8311yescharacteristic
1935C4C2×H(5,𝔽2)×C8311yescharacteristic
1936C2—22no—
1937C2—41no—
1938C2—41no—
1939C2—41no—
1940C2—41no—
1941C2—42no—
1942C2—81no—
1943C2—81no—
1944C2—81no—
1945C2—81no—
1946C2—81no—
1947C2—81no—
1948C2C83×#348411yescharacteristic
1949C2C2×#576×C8311yescharacteristic
1950C2C83×#358411yescharacteristic
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×#3542C2semidirect
2. C83×#3488C2semidirect
3. C83×#3319C2semidirect
4. C83×#3310C2semidirect
5. C83×#3309C2semidirect
6. C83×#3308C2semidirect
7. C83×#3305C2semidirect
8. C83×#3300C2semidirect
9. C83×#3297C2semidirect
10. C83×#3294C2semidirect
11. C83×#3287C2semidirect
12. C83×#3282C2semidirect
13. C83×#3280C2semidirect
14. D4×D8×C83C2semidirect
15. C83×#3268C2semidirect
16. C83×#3268C2semidirect
17. C83×#3265C2semidirect
18. C83×#3264C2semidirect
19. C83×#3224C2semidirect
20. C83×#3220C2semidirect
21. C83×#3203C2semidirect
22. C83×#3198C2semidirect
23. C83×#3188C2semidirect
24. C83×#3186C2semidirect
25. C83×#3124C2semidirect
26. C83×#3119C2semidirect
27. C83×#3012C2semidirect
28. C83×#3008C2semidirect
29. C83×#3002C2semidirect
30. C2×#449×C83C2semidirect
31. C83×#2977C2semidirect
32. C2×H(5,𝔽2)×C83C22semidirect
33. C22×#41×C83C22semidirect
34. C2×AGL(1,ℤ/8)×C83C22semidirect
35. C2×AGL(1,ℤ/8)×C83C22semidirect
36. C2×#135×C83C22semidirect
37. C2×#135×C83C22semidirect
38. C2×#135×C83C22semidirect
39. C22×SD16×C83C22semidirect
40. C22×D8×C83C22semidirect
41. C22×D8×C83C22semidirect
44. #555×C83C22semidirect
45. #553×C83C22semidirect
46. #552×C83C22semidirect
48. #550×C83C22semidirect
49. #550×C83C22semidirect
50. #550×C83C22semidirect
52. #548×C83C22semidirect
53. #547×C83C22semidirect
57. #546×C83C22semidirect
58. #546×C83C22semidirect
59. #546×C83C22semidirect
60. #546×C83C22semidirect
64. D42×C83C22semidirect
65. D42×C83C22semidirect
66. #542×C83C22semidirect
68. #540×C83C22semidirect
71. #537×C83C22semidirect
72. #537×C83C22semidirect
75. #535×C83C22semidirect
76. #535×C83C22semidirect
80. #525×C83C22semidirect
82. C2×#121×C83C22semidirect
83. C2×#121×C83C22semidirect
84. #520×C83C22semidirect
85. #496×C83C22semidirect
86. #496×C83C22semidirect
87. #495×C83C22semidirect
88. #493×C83C22semidirect
89. #490×C83C22semidirect
90. #489×C83C22semidirect
91. #488×C83C22semidirect
92. #486×C83C22semidirect
93. #485×C83C22semidirect
94. #484×C83C22semidirect
95. #484×C83C22semidirect
96. #482×C83C22semidirect
97. #482×C83C22semidirect
98. #482×C83C22semidirect
99. #481×C83C22semidirect
100. #480×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. #469×C83C22semidirect
110. #468×C83C22semidirect
111. #468×C83C22semidirect
112. #468×C83C22semidirect
113. #467×C83C22semidirect
114. #466×C83C22semidirect
115. #466×C83C22semidirect
116. #466×C83C22semidirect
117. #466×C83C22semidirect
118. #466×C83C22semidirect
119. #466×C83C22semidirect
120. #466×C83C22semidirect
121. #466×C83C22semidirect
122. #465×C83C22semidirect
123. #465×C83C22semidirect
124. #465×C83C22semidirect
125. #464×C83C22semidirect
126. #464×C83C22semidirect
127. #463×C83C22semidirect
128. #463×C83C22semidirect
129. #463×C83C22semidirect
130. #463×C83C22semidirect
131. #460×C83C22semidirect
132. #460×C83C22semidirect
133. #459×C83C22semidirect
134. #459×C83C22semidirect
135. #459×C83C22semidirect
136. #459×C83C22semidirect
137. #452×C83C22semidirect
138. #452×C83C22semidirect
139. #452×C83C22semidirect
140. #452×C83C22semidirect
141. #451×C83C22semidirect
142. #450×C83C22semidirect
143. #450×C83C22semidirect
144. #450×C83C22semidirect
145. #450×C83C22semidirect
147. #449×C83C22semidirect
148. #449×C83C22semidirect
149. #449×C83C22semidirect
150. #449×C83C22semidirect
151. #449×C83C22semidirect
152. #449×C83C22semidirect
153. #449×C83C22semidirect
154. #449×C83C22semidirect
155. #449×C83C22semidirect
156. #449×C83C22semidirect
157. #449×C83C22semidirect
158. #449×C83C22semidirect
159. #449×C83C22semidirect
160. #449×C83C22semidirect
161. #449×C83C22semidirect
162. #448×C83C22semidirect
163. #447×C83C22semidirect
164. #447×C83C22semidirect
165. #447×C83C22semidirect
166. #447×C83C22semidirect
167. #447×C83C22semidirect
168. #447×C83C22semidirect
169. #447×C83C22semidirect
170. #447×C83C22semidirect
171. #447×C83C22semidirect
172. #447×C83C22semidirect
173. #442×C83C22semidirect
174. #440×C83C22semidirect
175. #440×C83C22semidirect
176. #440×C83C22semidirect
177. C4×Q16×C83C22semidirect
178. C4×SD16×C83C22semidirect
179. C4×D8×C83C22semidirect
180. C4×D8×C83C22semidirect
181. #435×C83C22semidirect
182. #435×C83C22semidirect
183. #435×C83C22semidirect
184. #435×C83C22semidirect
185. C8×D4×C83C22semidirect
186. C8×D4×C83C22semidirect
187. C8×D4×C83C22semidirect
188. C8×D4×C83C22semidirect
189. #433×C83C22semidirect
190. #433×C83C22semidirect
191. #418×C83C22semidirect
192. #417×C83C22semidirect
193. #416×C83C22semidirect
194. #416×C83C22semidirect
195. #416×C83C22semidirect
196. C2×#103×C83C22semidirect
197. C2×#102×C83C22semidirect
198. C2×#102×C83C22semidirect
199. #408×C83C22semidirect
200. #408×C83C22semidirect
201. C2×C22⋊C8×C83C22semidirect
202. C2×C22⋊C8×C83C22semidirect
960. #61639C83direct (N × H)
976. #3542C2×C83semidirect
977. #3488C2×C83semidirect
978. #3319C2×C83semidirect
979. #3310C2×C83semidirect
980. #3309C2×C83semidirect
981. #3308C2×C83semidirect
982. #3305C2×C83semidirect
983. #3300C2×C83semidirect
984. #3297C2×C83semidirect
985. #3294C2×C83semidirect
986. #3287C2×C83semidirect
987. #3282C2×C83semidirect
988. #3280C2×C83semidirect
989. D4×D8C2×C83semidirect
990. #3268C2×C83semidirect
991. #3268C2×C83semidirect
992. #3265C2×C83semidirect
993. #3264C2×C83semidirect
994. #3224C2×C83semidirect
995. #3220C2×C83semidirect
996. #3203C2×C83semidirect
997. #3198C2×C83semidirect
998. #3188C2×C83semidirect
999. #3186C2×C83semidirect
1000. #3124C2×C83semidirect
1001. #3119C2×C83semidirect
1002. #3012C2×C83semidirect
1003. #3008C2×C83semidirect
1004. #3002C2×C83semidirect
1005. C2×#449C2×C83semidirect
1006. #2977C2×C83semidirect
1007. C83#61639direct (N × H)
1008. C2×H(5,𝔽2)C22×C83semidirect
1009. C22×#41C22×C83semidirect
1010. C2×AGL(1,ℤ/8)C22×C83semidirect
1011. C2×AGL(1,ℤ/8)C22×C83semidirect
1012. C2×#135C22×C83semidirect
1013. C2×#135C22×C83semidirect
1014. C2×#135C22×C83semidirect
1015. C22×SD16C22×C83semidirect
1016. C22×D8C22×C83semidirect
1017. C22×D8C22×C83semidirect
1020. #555C22×C83semidirect
1021. #553C22×C83semidirect
1022. #552C22×C83semidirect
1024. #550C22×C83semidirect
1025. #550C22×C83semidirect
1026. #550C22×C83semidirect
1028. #548C22×C83semidirect
1029. #547C22×C83semidirect
1033. #546C22×C83semidirect
1034. #546C22×C83semidirect
1035. #546C22×C83semidirect
1036. #546C22×C83semidirect
1040. D42C22×C83semidirect
1041. D42C22×C83semidirect
1042. #542C22×C83semidirect
1044. #540C22×C83semidirect
1047. #537C22×C83semidirect
1048. #537C22×C83semidirect
1051. #535C22×C83semidirect
1052. #535C22×C83semidirect
1056. #525C22×C83semidirect
1058. C2×#121C22×C83semidirect
1059. C2×#121C22×C83semidirect
1060. #520C22×C83semidirect
1061. #496C22×C83semidirect
1062. #496C22×C83semidirect
1063. #495C22×C83semidirect
1064. #493C22×C83semidirect
1065. #490C22×C83semidirect
1066. #489C22×C83semidirect
1067. #488C22×C83semidirect
1068. #486C22×C83semidirect
1069. #485C22×C83semidirect
1070. #484C22×C83semidirect
1071. #484C22×C83semidirect
1072. #482C22×C83semidirect
1073. #482C22×C83semidirect
1074. #482C22×C83semidirect
1075. #481C22×C83semidirect
1076. #480C22×C83semidirect
1077. #480C22×C83semidirect
1078. #480C22×C83semidirect
1079. #480C22×C83semidirect
1080. #480C22×C83semidirect
1081. #479C22×C83semidirect
1082. #478C22×C83semidirect
1083. #477C22×C83semidirect
1084. #474C22×C83semidirect
1085. #469C22×C83semidirect
1086. #468C22×C83semidirect
1087. #468C22×C83semidirect
1088. #468C22×C83semidirect
1089. #467C22×C83semidirect
1090. #466C22×C83semidirect
1091. #466C22×C83semidirect
1092. #466C22×C83semidirect
1093. #466C22×C83semidirect
1094. #466C22×C83semidirect
1095. #466C22×C83semidirect
1096. #466C22×C83semidirect
1097. #466C22×C83semidirect
1098. #465C22×C83semidirect
1099. #465C22×C83semidirect
1100. #465C22×C83semidirect
1101. #464C22×C83semidirect
1102. #464C22×C83semidirect
1103. #463C22×C83semidirect
1104. #463C22×C83semidirect
1105. #463C22×C83semidirect
1106. #463C22×C83semidirect
1107. #460C22×C83semidirect
1108. #460C22×C83semidirect
1109. #459C22×C83semidirect
1110. #459C22×C83semidirect
1111. #459C22×C83semidirect
1112. #459C22×C83semidirect
1113. #452C22×C83semidirect
1114. #452C22×C83semidirect
1115. #452C22×C83semidirect
1116. #452C22×C83semidirect
1117. #451C22×C83semidirect
1118. #450C22×C83semidirect
1119. #450C22×C83semidirect
1120. #450C22×C83semidirect
1121. #450C22×C83semidirect
1123. #449C22×C83semidirect
1124. #449C22×C83semidirect
1125. #449C22×C83semidirect
1126. #449C22×C83semidirect
1127. #449C22×C83semidirect
1128. #449C22×C83semidirect
1129. #449C22×C83semidirect
1130. #449C22×C83semidirect
1131. #449C22×C83semidirect
1132. #449C22×C83semidirect
1133. #449C22×C83semidirect
1134. #449C22×C83semidirect
1135. #449C22×C83semidirect
1136. #449C22×C83semidirect
1137. #449C22×C83semidirect
1138. #448C22×C83semidirect
1139. #447C22×C83semidirect
1140. #447C22×C83semidirect
1141. #447C22×C83semidirect
1142. #447C22×C83semidirect
1143. #447C22×C83semidirect
1144. #447C22×C83semidirect
1145. #447C22×C83semidirect
1146. #447C22×C83semidirect
1147. #447C22×C83semidirect
1148. #447C22×C83semidirect
1149. #442C22×C83semidirect
1150. #440C22×C83semidirect
1151. #440C22×C83semidirect
1152. #440C22×C83semidirect
1153. C4×Q16C22×C83semidirect
1154. C4×SD16C22×C83semidirect
1155. C4×D8C22×C83semidirect
1156. C4×D8C22×C83semidirect
1157. #435C22×C83semidirect
1158. #435C22×C83semidirect
1159. #435C22×C83semidirect
1160. #435C22×C83semidirect
1161. C8×D4C22×C83semidirect
1162. C8×D4C22×C83semidirect
1163. C8×D4C22×C83semidirect
1164. C8×D4C22×C83semidirect
1165. #433C22×C83semidirect
1166. #433C22×C83semidirect
1167. #418C22×C83semidirect
1168. #417C22×C83semidirect
1169. #416C22×C83semidirect
1170. #416C22×C83semidirect
1171. #416C22×C83semidirect
1172. C2×#103C22×C83semidirect
1173. C2×#102C22×C83semidirect
1174. C2×#102C22×C83semidirect
1175. #408C22×C83semidirect
1176. #408C22×C83semidirect
1177. C2×C22⋊C8C22×C83semidirect
1178. C2×C22⋊C8C22×C83semidirect

Maximal subgroups

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

subgroupindex
C83×#35422
C83×#34882
C83×#33192
C83×#33102
C83×#33092
C83×#33082
C83×#33052
C83×#33002
C83×#32972
C83×#32942
C83×#32872
C83×#32822
C83×#32802
D4×D8×C832
C83×#32682
C83×#32652
C83×#32642
C83×#32242
C83×#32202
C83×#32032
C83×#31982
C83×#31882
C83×#31862
C83×#31242
C83×#31192
C83×#30122
C83×#30082
C83×#30022
C2×#449×C832
C83×#29772
#6163983