Finite Group Databasebeta

← C83×#61642 #35289466

Subgroups — C83×#61642 #35289466

Order 21248.

2042 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#3541C211yesmaximal, characteristic, complemented
2C83×#3489C211yesmaximal, characteristic, complemented
3C83×#3320C211yesmaximal, characteristic, complemented
4C83×#3315C211yesmaximal, characteristic, complemented
5C83×#3314C211yesmaximal, characteristic, complemented
6C83×#3313C211yesmaximal, characteristic, complemented
7C83×#3302C211yesmaximal, characteristic, complemented
8C83×#3300C211yesmaximal, characteristic, complemented
9C83×#3299C211yesmaximal, characteristic, complemented
10C83×#3297C211yesmaximal, characteristic, complemented
11D4×Q16×C83C211yesmaximal, characteristic, complemented
12C83×#3285C211yesmaximal, characteristic, complemented
13C83×#3283C211yesmaximal, characteristic, complemented
14C83×#3282C211yesmaximal, characteristic, complemented
15C83×#3270C211yesmaximal, characteristic, complemented
16C83×#3269C211yesmaximal, characteristic, complemented
17C83×#3269C211yesmaximal, characteristic, complemented
18C83×#3266C211yesmaximal, characteristic, complemented
19C83×#3225C211yesmaximal, characteristic, complemented
20C83×#3223C211yesmaximal, characteristic, complemented
21C83×#3203C211yesmaximal, characteristic, complemented
22C83×#3201C211yesmaximal, characteristic, complemented
23C83×#3190C211yesmaximal, characteristic, complemented
24C83×#3189C211yesmaximal, characteristic, complemented
25C83×#3124C211yesmaximal, characteristic, complemented
26C83×#3120C211yesmaximal, characteristic, complemented
27C83×#3013C211yesmaximal, characteristic, complemented
28C83×#3011C211yesmaximal, characteristic, complemented
29C83×#3002C211yesmaximal, characteristic, complemented
30C2×#452×C83C211yesmaximal, characteristic, complemented
31C83×#2977C211yesmaximal, characteristic, complemented
32C2×2−1+4×C83C2211yescharacteristic
33C22×#41×C83C2211yescharacteristic
34C2×#137×C83C2211yescharacteristic, complemented
35C2×#137×C83C2211yescharacteristic, complemented
36C2×#135×C83C2211yescharacteristic
37C2×#135×C83C2211yescharacteristic
38C2×#135×C83C2211yescharacteristic, complemented
39C22×Q16×C83C2211yescharacteristic
40C22×Q16×C83C2211yescharacteristic, complemented
41C22×SD16×C83C2211yescharacteristic
42#563×C83—21no—
43#562×C83—21no—
44#556×C83C2211yescharacteristic, complemented
45#554×C83—21no—
46#554×C83C2211yescharacteristic
47#553×C83—21no—
48#553×C83C2211yescharacteristic
49#552×C83C2211yescharacteristic, complemented
50D4×Q8×C83C2211yescharacteristic
51D4×Q8×C83C2211yescharacteristic
52D4×Q8×C83C2211yescharacteristic
53#548×C83C2211yescharacteristic
54#548×C83C2211yescharacteristic
55#548×C83C2211yescharacteristic
56#548×C83C2211yescharacteristic, complemented
57#547×C83—21no—
58#547×C83—21no—
59#547×C83C2211yescharacteristic
60#547×C83C2211yescharacteristic
61#547×C83C2211yescharacteristic, complemented
62#546×C83—21no—
63#546×C83—21no—
64#546×C83C2211yescharacteristic
65#546×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×C83—21no—
76#536×C83C2211yescharacteristic
77#536×C83C2211yescharacteristic, complemented
78#525×C83—21no—
79#525×C83C2211yescharacteristic
80#525×C83C2211yescharacteristic
81C2×C22⋊Q8×C83—21no—
82C2×C22⋊Q8×C83C2211yescharacteristic
83C2×C22⋊Q8×C83C2211yescharacteristic
84#520×C83C2211yescharacteristic
85#497×C83C2211yescharacteristic, complemented
86#497×C83C2211yescharacteristic, complemented
87#495×C83C2211yescharacteristic, complemented
88#494×C83C2211yescharacteristic, complemented
89#491×C83C2211yescharacteristic, complemented
90#489×C83C2211yescharacteristic, complemented
91#488×C83C2211yescharacteristic, complemented
92#487×C83C2211yescharacteristic, complemented
93#485×C83C2211yescharacteristic, complemented
94#485×C83C2211yescharacteristic, complemented
95#485×C83C2211yescharacteristic, complemented
96#484×C83C2211yescharacteristic
97#484×C83C2211yescharacteristic
98#484×C83C2211yescharacteristic, complemented
99#484×C83C2211yescharacteristic, complemented
100#484×C83C2211yescharacteristic, complemented
101#483×C83C2211yescharacteristic, complemented
102#482×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#468×C83C2211yescharacteristic, complemented
111#468×C83C2211yescharacteristic, complemented
112#468×C83C2211yescharacteristic, complemented
113#467×C83C2211yescharacteristic
114#467×C83C2211yescharacteristic
115#467×C83C2211yescharacteristic, complemented
116#467×C83C2211yescharacteristic, complemented
117#467×C83C2211yescharacteristic, complemented
118#467×C83C2211yescharacteristic, complemented
119#467×C83C2211yescharacteristic, complemented
120#467×C83C2211yescharacteristic, complemented
121#466×C83C2211yescharacteristic, complemented
122#465×C83C2211yescharacteristic
123#465×C83C2211yescharacteristic
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#462×C83C2211yescharacteristic, complemented
133#462×C83C2211yescharacteristic, complemented
134#462×C83C2211yescharacteristic, complemented
135#461×C83C2211yescharacteristic, complemented
136#461×C83C2211yescharacteristic, complemented
137#452×C83C2211yescharacteristic
138#452×C83C2211yescharacteristic
139#452×C83C2211yescharacteristic
140#452×C83C2211yescharacteristic
141#452×C83C2211yescharacteristic
142#452×C83C2211yescharacteristic
143#452×C83C2211yescharacteristic
144#452×C83C2211yescharacteristic
145#452×C83C2211yescharacteristic
146#452×C83C2211yescharacteristic
147#452×C83C2211yescharacteristic, complemented
148#452×C83C2211yescharacteristic, complemented
149#452×C83C2211yescharacteristic, complemented
150#452×C83C2211yescharacteristic, complemented
151#452×C83C2211yescharacteristic, complemented
152#452×C83C2211yescharacteristic, complemented
153#451×C83C2211yescharacteristic
154#451×C83C2211yescharacteristic
155#451×C83C2211yescharacteristic
156#451×C83C2211yescharacteristic, complemented
157#451×C83C2211yescharacteristic, complemented
158#451×C83C2211yescharacteristic, complemented
159#451×C83C2211yescharacteristic, complemented
160#451×C83C2211yescharacteristic, complemented
161#451×C83C2211yescharacteristic, complemented
162#451×C83C2211yescharacteristic, complemented
163#450×C83C2211yescharacteristic
164#449×C83C2211yescharacteristic
165#449×C83C2211yescharacteristic
166#449×C83C2211yescharacteristic, complemented
167#449×C83C2211yescharacteristic, complemented
168#448×C83C2211yescharacteristic
169#448×C83C2211yescharacteristic, complemented
170#448×C83C2211yescharacteristic, complemented
171#448×C83C2211yescharacteristic, complemented
172#447×C83C2211yescharacteristic
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#435×C83C2211yescharacteristic
182#435×C83C2211yescharacteristic
183#435×C83C2211yescharacteristic, complemented
184#435×C83C2211yescharacteristic, complemented
185C8×D4×C83C2211yescharacteristic
186C8×D4×C83C2211yescharacteristic
187C8×D4×C83C2211yescharacteristic, complemented
188C8×D4×C83C2211yescharacteristic, complemented
189#433×C83C2211yescharacteristic, complemented
190#433×C83C2211yescharacteristic, complemented
191#419×C83C2211yescharacteristic, complemented
192#417×C83C2211yescharacteristic, complemented
193#416×C83C2211yescharacteristic
194#416×C83C2211yescharacteristic
195#416×C83C2211yescharacteristic, complemented
196C2×#103×C83C2211yescharacteristic
197C2×#103×C83C2211yescharacteristic, complemented
198C2×#102×C83C2211yescharacteristic
199#408×C83C2211yescharacteristic, complemented
200#408×C83C2211yescharacteristic, complemented
201C2×C22⋊C8×C83C2211yescharacteristic
202C2×C22⋊C8×C83C2211yescharacteristic
2032−1+4×C83—42no—
2042−1+4×C83—42no—
205C2×#41×C83—21no—
206C2×#41×C83—21no—
207C2×#41×C83—21no—
208C2×#41×C83—21no—
209C2×#41×C83—21no—
210C2×#41×C83—42no—
211C2×#41×C83—42no—
212C2×#41×C83C2311yescharacteristic
213C2×#41×C83C2311yescharacteristic
214C2×#41×C83C2311yescharacteristic
215C2×#41×C83C2311yescharacteristic
216C2×#41×C83C2311yescharacteristic
217C2×#41×C83C2311yescharacteristic
218C2×#41×C83C2311yescharacteristic
219C2×#41×C83C2311yescharacteristic
220C2×#41×C83C2311yescharacteristic
221C22×Q8×C83—21no—
222C22×Q8×C83C2311yescharacteristic
223C22×Q8×C83C2311yescharacteristic
224C22×Q8×C83C2311yescharacteristic
225C22×Q8×C83C2311yescharacteristic
226C22×Q8×C83C2311yescharacteristic
227C22×Q8×C83C2311yescharacteristic
228C22×D4×C83—21no—
229C22×D4×C83C2311yescharacteristic
230C23×C4×C83—21no—
231C23×C4×C83C2311yescharacteristic
232#137×C83—42no—
233#137×C83—42no—
234#135×C83—42no—
235#135×C83—42no—
236#135×C83—42no—
237C2×Q16×C83—42no—
238C2×Q16×C83—42no—
239C2×Q16×C83C2311yescharacteristic
240C2×Q16×C83C2311yescharacteristic
241C2×Q16×C83C2311yescharacteristic
242C2×Q16×C83C2311yescharacteristic
243C2×Q16×C83C2311yescharacteristic
244C2×Q16×C83C2311yescharacteristic
245C2×Q16×C83C2311yescharacteristic
246C2×Q16×C83C2311yescharacteristic
247C2×Q16×C83C2311yescharacteristic
248C2×Q16×C83C2311yescharacteristic
249C2×Q16×C83C2311yescharacteristic
250C2×Q16×C83C2311yescharacteristic
251C2×SD16×C83—42no—
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×D8×C83C2311yescharacteristic
263C2×D8×C83C2311yescharacteristic
264C2×M16×C83C2311yescharacteristic
265C2×M16×C83C2311yescharacteristic
266C22×C8×C83C2311yescharacteristic
267C22×C8×C83C2311yescharacteristic
268C22×C8×C83C2311yescharacteristic
269C22×C8×C83C2311yescharacteristic
270C22×C8×C83C2311yescharacteristic
271C22×C8×C83C2311yescharacteristic
272C4⋊Q8×C83—21no—
273C4⋊Q8×C83—21no—
274C4⋊Q8×C83—21no—
275C4⋊Q8×C83—21no—
276C4⋊Q8×C83C2311yescharacteristic
277C4⋊Q8×C83C2311yescharacteristic
278C4⋊Q8×C83C2311yescharacteristic
279C4⋊Q8×C83C2311yescharacteristic
280#126×C83—21no—
281#126×C83—21no—
282#126×C83—21no—
283#126×C83—21no—
284#126×C83—21no—
285#126×C83—21no—
286#126×C83—21no—
287#125×C83—21no—
288#125×C83—21no—
289#125×C83—21no—
290#125×C83—21no—
291#125×C83C2311yescharacteristic
292#124×C83—21no—
293#124×C83—21no—
294#124×C83—21no—
295#124×C83—21no—
296#124×C83—21no—
297#124×C83—21no—
298#124×C83—21no—
299#124×C83C2311yescharacteristic
300#124×C83C2311yescharacteristic
301#124×C83C2311yescharacteristic
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×C83—21no—
313#123×C83—21no—
314#123×C83—21no—
315#123×C83—21no—
316#123×C83—21no—
317#123×C83—21no—
318#123×C83D411yescharacteristic
319#123×C83D411yescharacteristic
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×C83—21no—
331C22⋊Q8×C83—21no—
332C22⋊Q8×C83—21no—
333C22⋊Q8×C83—21no—
334C22⋊Q8×C83—21no—
335C22⋊Q8×C83—21no—
336C22⋊Q8×C83—21no—
337C22⋊Q8×C83—21no—
338C22⋊Q8×C83—21no—
339C22⋊Q8×C83—21no—
340C22⋊Q8×C83—21no—
341C22⋊Q8×C83D411yescharacteristic
342C22⋊Q8×C83D411yescharacteristic
343C22⋊Q8×C83C2311yescharacteristic
344C22⋊Q8×C83C2311yescharacteristic
345C22⋊Q8×C83C2311yescharacteristic
346C22⋊Q8×C83C2311yescharacteristic
347C22⋊Q8×C83C2311yescharacteristic
348C22⋊Q8×C83C2311yescharacteristic
349C22⋊Q8×C83C2311yescharacteristic
350C22⋊Q8×C83C2311yescharacteristic
351C22⋊Q8×C83C2311yescharacteristic
352C22⋊Q8×C83C2311yescharacteristic
353C22⋊Q8×C83C2311yescharacteristic
354C22⋊Q8×C83C2311yescharacteristic
355C22⋊Q8×C83C2311yescharacteristic
356C22⋊Q8×C83C2311yescharacteristic
357C22⋊Q8×C83C2311yescharacteristic
358#121×C83—21no—
359#121×C83—21no—
360#121×C83—21no—
361#121×C83—21no—
362#121×C83—21no—
363#121×C83—21no—
364#121×C83—21no—
365#121×C83—21no—
366#121×C83—21no—
367#121×C83—21no—
368#121×C83—21no—
369#121×C83—21no—
370#121×C83—21no—
371#121×C83—21no—
372#121×C83—21no—
373#121×C83—21no—
374#121×C83D411yescharacteristic
375#121×C83D411yescharacteristic
376#121×C83C2311yescharacteristic
377#121×C83C2311yescharacteristic
378#121×C83C2311yescharacteristic
379#121×C83C2311yescharacteristic
380#121×C83C2311yescharacteristic
381#120×C83—21no—
382#120×C83—21no—
383#120×C83—21no—
384#120×C83D411yescharacteristic
385#120×C83D411yescharacteristic
386C4×Q8×C83—21no—
387C4×Q8×C83C2311yescharacteristic
388C4×Q8×C83C2311yescharacteristic
389C4×Q8×C83C2311yescharacteristic
390C4×Q8×C83C2311yescharacteristic
391C4×Q8×C83C2311yescharacteristic
392C4×D4×C83—21no—
393C4×D4×C83—21no—
394C4×D4×C83—21no—
395C4×D4×C83—21no—
396C4×D4×C83—21no—
397C4×D4×C83—21no—
398C4×D4×C83—21no—
399C4×D4×C83—21no—
400C4×D4×C83—21no—
401C4×D4×C83—21no—
402C4×D4×C83—21no—
403C4×D4×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
412#117×C83—21no—
413#117×C83—21no—
414#117×C83C2311yescharacteristic
415#117×C83C2311yescharacteristic
416#117×C83C2311yescharacteristic
417C2×C4⋊C4×C83—21no—
418C2×C4⋊C4×C83—21no—
419C2×C4⋊C4×C83—21no—
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#103×C83C2311yescharacteristic
457#103×C83C2311yescharacteristic
458#103×C83C2311yescharacteristic
459#103×C83C2311yescharacteristic
460#103×C83C2311yescharacteristic
461#103×C83C2311yescharacteristic
462#103×C83C2311yescharacteristic
463#103×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×C83C2×D411yescharacteristic
492#41×C83—22no—
493#41×C83—22no—
494#41×C83—22no—
495#41×C83—22no—
496#41×C83—22no—
497#41×C83—22no—
498#41×C83—41no—
499#41×C83—41no—
500#41×C83—41no—
501#41×C83—41no—
502#41×C83—41no—
503#41×C83—41no—
504#41×C83—41no—
505#41×C83—41no—
506#41×C83—44no—
507#41×C83—44no—
508#41×C83—41no—
509#41×C83—41no—
510#41×C83—41no—
511#41×C83—41no—
512#41×C83—44no—
513#41×C83—44no—
514#41×C83—44no—
515C2×Q8×C83—21no—
516C2×Q8×C83—21no—
517C2×Q8×C83—21no—
518C2×Q8×C83—21no—
519C2×Q8×C83—21no—
520C2×Q8×C83—21no—
521C2×Q8×C83—21no—
522C2×Q8×C83—22no—
523C2×Q8×C83—22no—
524C2×Q8×C83—22no—
525C2×Q8×C83—41no—
526C2×Q8×C83—41no—
527C2×Q8×C83—41no—
528C2×Q8×C83—41no—
529C2×Q8×C83—41no—
530C2×Q8×C83—44no—
531C2×Q8×C83—41no—
532C2×Q8×C83—41no—
533C2×Q8×C83—41no—
534C2×Q8×C83—41no—
535C2×Q8×C83C2×D411yescharacteristic
536C2×Q8×C83C2411yescharacteristic
537C2×Q8×C83C2411yescharacteristic
538C2×Q8×C83C2411yescharacteristic
539C2×Q8×C83C2411yescharacteristic
540C2×Q8×C83C2411yescharacteristic
541C2×Q8×C83C2411yescharacteristic
542C2×Q8×C83C2411yescharacteristic
543C2×D4×C83—21no—
544C2×D4×C83—22no—
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—41no—
559C2×D4×C83—44no—
560C2×D4×C83C2×D411yescharacteristic
561C2×D4×C83C2×D411yescharacteristic
562C2×D4×C83C2×D411yescharacteristic
563C2×D4×C83C2×D411yescharacteristic
564C2×D4×C83C2×D411yescharacteristic
565C2×D4×C83C2×D411yescharacteristic
566C2×D4×C83C2×D411yescharacteristic
567C2×D4×C83C2411yescharacteristic
568C2×D4×C83C2411yescharacteristic
569C2×D4×C83C2411yescharacteristic
570C22×C4×C83—21no—
571C22×C4×C83—21no—
572C22×C4×C83—21no—
573C22×C4×C83—21no—
574C22×C4×C83—21no—
575C22×C4×C83—21no—
576C22×C4×C83—21no—
577C22×C4×C83—21no—
578C22×C4×C83—21no—
579C22×C4×C83—21no—
580C22×C4×C83—21no—
581C22×C4×C83—21no—
582C22×C4×C83—21no—
583C22×C4×C83—21no—
584C22×C4×C83—21no—
585C22×C4×C83—21no—
586C22×C4×C83—21no—
587C22×C4×C83—21no—
588C22×C4×C83—21no—
589C22×C4×C83—21no—
590C22×C4×C83—41no—
591C22×C4×C83—41no—
592C22×C4×C83—44no—
593C22×C4×C83C2×D411yescharacteristic
594C22×C4×C83C2×D411yescharacteristic
595C22×C4×C83C2×D411yescharacteristic
596C22×C4×C83C2411yescharacteristic
597C22×C4×C83C2411yescharacteristic
598C22×C4×C83C2411yescharacteristic
599C22×C4×C83C2411yescharacteristic
600C22×C4×C83C2411yescharacteristic
601Q16×C83—22no—
602Q16×C83—22no—
603Q16×C83—22no—
604Q16×C83—41no—
605Q16×C83—41no—
606Q16×C83—41no—
607Q16×C83—41no—
608Q16×C83—41no—
609Q16×C83—41no—
610Q16×C83—41no—
611Q16×C83—41no—
612Q16×C83—41no—
613SD16×C83—22no—
614SD16×C83—22no—
615SD16×C83—22no—
616SD16×C83—22no—
617SD16×C83—41no—
618SD16×C83—41no—
619SD16×C83—41no—
620SD16×C83—41no—
621SD16×C83—41no—
622SD16×C83—41no—
623D8×C83—22no—
624D8×C83—41no—
625M16×C83—41no—
626M16×C83—41no—
627C2×C8×C83—41no—
628C2×C8×C83—41no—
629C2×C8×C83—41no—
630C2×C8×C83—41no—
631C2×C8×C83—41no—
632C2×C8×C83—41no—
633C2×C8×C83C2411yescharacteristic
634C2×C8×C83C2411yescharacteristic
635C2×C8×C83C2411yescharacteristic
636C2×C8×C83C2411yescharacteristic
637C2×C8×C83C2411yescharacteristic
638C2×C8×C83C2411yescharacteristic
639C2×C8×C83C2411yescharacteristic
640C2×C8×C83C2411yescharacteristic
641C4⋊C4×C83—21no—
642C4⋊C4×C83—21no—
643C4⋊C4×C83—21no—
644C4⋊C4×C83—21no—
645C4⋊C4×C83—21no—
646C4⋊C4×C83—21no—
647C4⋊C4×C83—21no—
648C4⋊C4×C83—21no—
649C4⋊C4×C83—21no—
650C4⋊C4×C83—21no—
651C4⋊C4×C83—21no—
652C4⋊C4×C83—21no—
653C4⋊C4×C83—21no—
654C4⋊C4×C83—21no—
655C4⋊C4×C83—21no—
656C4⋊C4×C83—21no—
657C4⋊C4×C83—21no—
658C4⋊C4×C83—21no—
659C4⋊C4×C83—21no—
660C4⋊C4×C83—21no—
661C4⋊C4×C83—21no—
662C4⋊C4×C83—21no—
663C4⋊C4×C83—21no—
664C4⋊C4×C83—21no—
665C4⋊C4×C83—21no—
666C4⋊C4×C83—21no—
667C4⋊C4×C83—21no—
668C4⋊C4×C83—21no—
669C4⋊C4×C83—21no—
670C4⋊C4×C83—21no—
671C4⋊C4×C83—21no—
672C4⋊C4×C83—21no—
673C4⋊C4×C83C2×D411yescharacteristic
674C4⋊C4×C83C2×D411yescharacteristic
675C4⋊C4×C83C2×D411yescharacteristic
676C4⋊C4×C83C2×D411yescharacteristic
677C4⋊C4×C83C2×D411yescharacteristic
678C4⋊C4×C83C2×D411yescharacteristic
679C4⋊C4×C83C2411yescharacteristic
680C4⋊C4×C83C2411yescharacteristic
681C4⋊C4×C83C2411yescharacteristic
682C4⋊C4×C83C2411yescharacteristic
683C4⋊C4×C83C2411yescharacteristic
684C4⋊C4×C83C2411yescharacteristic
685C22⋊C4×C83—21no—
686C22⋊C4×C83—21no—
687C22⋊C4×C83—21no—
688C22⋊C4×C83—21no—
689C22⋊C4×C83—21no—
690C22⋊C4×C83—21no—
691C22⋊C4×C83—21no—
692C22⋊C4×C83—21no—
693C22⋊C4×C83—21no—
694C22⋊C4×C83—21no—
695C22⋊C4×C83—21no—
696C22⋊C4×C83—21no—
697C22⋊C4×C83—21no—
698C22⋊C4×C83—21no—
699C22⋊C4×C83—21no—
700C22⋊C4×C83—21no—
701C22⋊C4×C83—21no—
702C22⋊C4×C83—21no—
703C22⋊C4×C83—21no—
704C22⋊C4×C83—21no—
705C22⋊C4×C83—21no—
706C22⋊C4×C83—21no—
707C22⋊C4×C83—21no—
708C22⋊C4×C83—21no—
709C22⋊C4×C83—21no—
710C22⋊C4×C83—21no—
711C22⋊C4×C83—21no—
712C22⋊C4×C83—21no—
713C22⋊C4×C83—21no—
714C22⋊C4×C83—21no—
715C22⋊C4×C83—21no—
716C22⋊C4×C83C2×D411yescharacteristic
717C22⋊C4×C83C2×D411yescharacteristic
718C22⋊C4×C83C2×D411yescharacteristic
719C22⋊C4×C83C2×D411yescharacteristic
720C22⋊C4×C83C2×D411yescharacteristic
721C22⋊C4×C83C2×D411yescharacteristic
722C22⋊C4×C83C2×D411yescharacteristic
723C22⋊C4×C83C2×D411yescharacteristic
724C22⋊C4×C83C2×D411yescharacteristic
725C22⋊C4×C83C2×D411yescharacteristic
726C42×C83—21no—
727C42×C83—21no—
728C42×C83—21no—
729C42×C83—21no—
730C42×C83—21no—
731C42×C83—21no—
732C42×C83—21no—
733C42×C83C2411yescharacteristic
734C42×C83C2411yescharacteristic
735C23×C83—21no—
736C23×C83—22no—
737C23×C83—21no—
738C23×C83—21no—
739C23×C83—41no—
740C23×C83—41no—
741C23×C83—42no—
742C23×C83—42no—
743C23×C83—81no—
744C23×C83C22×D411yescharacteristic
745C23×C83C22×D411yescharacteristic
746C23×C83C22×D411yescharacteristic
747C23×C83C22×D411yescharacteristic
748C23×C83C22×D411yescharacteristic
749Q8×C83—21no—
750Q8×C83—21no—
751Q8×C83—21no—
752Q8×C83—21no—
753Q8×C83—21no—
754Q8×C83—21no—
755Q8×C83—21no—
756Q8×C83—21no—
757Q8×C83—21no—
758Q8×C83—21no—
759Q8×C83—21no—
760Q8×C83—21no—
761Q8×C83—21no—
762Q8×C83—41no—
763Q8×C83—42no—
764Q8×C83—42no—
765Q8×C83—42no—
766Q8×C83—42no—
767Q8×C83—81no—
768Q8×C83—81no—
769Q8×C83—81no—
770Q8×C83H(5,𝔽2)12yes—
771D4×C83—24no—
772D4×C83—22no—
773D4×C83—22no—
774D4×C83—21no—
775D4×C83—21no—
776D4×C83—21no—
777D4×C83—21no—
778D4×C83—21no—
779D4×C83—41no—
780D4×C83—41no—
781D4×C83—41no—
782D4×C83—41no—
783D4×C83—41no—
784D4×C83—42no—
785D4×C83—42no—
786D4×C83—42no—
787D4×C83—42no—
788D4×C83—42no—
789D4×C83—42no—
790D4×C83—42no—
791D4×C83—81no—
792D4×C83—81no—
793D4×C83—81no—
794D4×C83—81no—
795D4×C83—81no—
796D4×C83—81no—
797D4×C83H(5,𝔽2)12yes—
798C2×C4×C83—24no—
799C2×C4×C83—21no—
800C2×C4×C83—21no—
801C2×C4×C83—21no—
802C2×C4×C83—21no—
803C2×C4×C83—21no—
804C2×C4×C83—21no—
805C2×C4×C83—21no—
806C2×C4×C83—21no—
807C2×C4×C83—21no—
808C2×C4×C83—21no—
809C2×C4×C83—21no—
810C2×C4×C83—21no—
811C2×C4×C83—21no—
812C2×C4×C83—21no—
813C2×C4×C83—21no—
814C2×C4×C83—21no—
815C2×C4×C83—21no—
816C2×C4×C83—21no—
817C2×C4×C83—21no—
818C2×C4×C83—21no—
819C2×C4×C83—21no—
820C2×C4×C83—21no—
821C2×C4×C83—21no—
822C2×C4×C83—41no—
823C2×C4×C83—41no—
824C2×C4×C83—41no—
825C2×C4×C83—42no—
826C2×C4×C83—42no—
827C2×C4×C83—42no—
828C2×C4×C83—42no—
829C2×C4×C83—42no—
830C2×C4×C83—42no—
831C2×C4×C83—42no—
832C2×C4×C83—42no—
833C2×C4×C83—42no—
834C2×C4×C83—81no—
835C2×C4×C83—81no—
836C2×C4×C83—81no—
837C2×C4×C83—81no—
838C2×C4×C83—81no—
839C2×C4×C83—81no—
840C2×C4×C83—81no—
841C2×C4×C83—81no—
842C2×C4×C83—81no—
843C2×C4×C83—81no—
844C2×C4×C83C22×D411yescharacteristic
845C2×C4×C83C22×D411yescharacteristic
846C2×C4×C83C22×D411yescharacteristic
847C2×C4×C83C22×D411yescharacteristic
848C2×C4×C83C22×D411yescharacteristic
849C2×C4×C83C22×D411yescharacteristic
850C2×C4×C83C22×D411yescharacteristic
851C2×C4×C83C22×D411yescharacteristic
852C2×C4×C83C22×D411yescharacteristic
853C2×C4×C83C2511yescharacteristic
854C8×C83—21no—
855C8×C83—21no—
856C8×C83—21no—
857C8×C83—21no—
858C8×C83—21no—
859C8×C83—21no—
860C8×C83—21no—
861C8×C83—21no—
862C22×C83—21no—
863C22×C83—21no—
864C22×C83—21no—
865C22×C83—21no—
866C22×C83—21no—
867C22×C83—21no—
868C22×C83—21no—
869C22×C83—22no—
870C22×C83—21no—
871C22×C83—21no—
872C22×C83—21no—
873C22×C83—21no—
874C22×C83—21no—
875C22×C83—21no—
876C22×C83—21no—
877C22×C83—41no—
878C22×C83—41no—
879C22×C83—41no—
880C22×C83—41no—
881C22×C83—41no—
882C22×C83—41no—
883C22×C83—41no—
884C22×C83—41no—
885C22×C83—82no—
886C22×C83—84no—
887C22×C83#57812yes—
888C22×C83C23×D411yescharacteristic
889C4×C83—21no—
890C4×C83—21no—
891C4×C83—21no—
892C4×C83—22no—
893C4×C83—21no—
894C4×C83—21no—
895C4×C83—21no—
896C4×C83—21no—
897C4×C83—21no—
898C4×C83—21no—
899C4×C83—41no—
900C4×C83—41no—
901C4×C83—41no—
902C4×C83—41no—
903C4×C83—41no—
904C4×C83—41no—
905C4×C83—41no—
906C4×C83—41no—
907C4×C83—41no—
908C4×C83—41no—
909C4×C83—41no—
910C4×C83—41no—
911C4×C83C2×H(5,𝔽2)11yescharacteristic
912C4×C83C2×H(5,𝔽2)11yescharacteristic
913#61642C8311yesmaximal, characteristic, direct product factor, Sylow
914C2×C83—22no—
915C2×C83—41no—
916C2×C83—41no—
917C2×C83—41no—
918C2×C83—41no—
919C2×C83—42no—
920C2×C83—81no—
921C2×C83—81no—
922C2×C83#348411yescharacteristic
923C2×C83C2×#57811yescharacteristic
924C2×C83#358411yescharacteristic
925#3541C2×C8311yescharacteristic, complemented
926#3489C2×C8311yescharacteristic, complemented
927#3320C2×C8311yescharacteristic, complemented
928#3315C2×C8311yescharacteristic, complemented
929#3314C2×C8311yescharacteristic, complemented
930#3313C2×C8311yescharacteristic, complemented
931#3302C2×C8311yescharacteristic, complemented
932#3300C2×C8311yescharacteristic, complemented
933#3299C2×C8311yescharacteristic, complemented
934#3297C2×C8311yescharacteristic, complemented
935D4×Q16C2×C8311yescharacteristic, complemented
936#3285C2×C8311yescharacteristic, complemented
937#3283C2×C8311yescharacteristic, complemented
938#3282C2×C8311yescharacteristic, complemented
939#3270C2×C8311yescharacteristic, complemented
940#3269C2×C8311yescharacteristic, complemented
941#3269C2×C8311yescharacteristic, complemented
942#3266C2×C8311yescharacteristic, complemented
943#3225C2×C8311yescharacteristic, complemented
944#3223C2×C8311yescharacteristic, complemented
945#3203C2×C8311yescharacteristic, complemented
946#3201C2×C8311yescharacteristic, complemented
947#3190C2×C8311yescharacteristic, complemented
948#3189C2×C8311yescharacteristic, complemented
949#3124C2×C8311yescharacteristic, complemented
950#3120C2×C8311yescharacteristic, complemented
951#3013C2×C8311yescharacteristic, complemented
952#3011C2×C8311yescharacteristic, complemented
953#3002C2×C8311yescharacteristic, complemented
954C2×#452C2×C8311yescharacteristic, complemented
955#2977C2×C8311yescharacteristic, complemented
956C83#6164211yescharacteristic, direct product factor, Sylow
957C2×2−1+4C22×C8311yescharacteristic
958C22×#41C22×C8311yescharacteristic
959C2×#137C22×C8311yescharacteristic, complemented
960C2×#137C22×C8311yescharacteristic, complemented
961C2×#135C22×C8311yescharacteristic
962C2×#135C22×C8311yescharacteristic
963C2×#135C22×C8311yescharacteristic, complemented
964C22×Q16C22×C8311yescharacteristic
965C22×Q16C22×C8311yescharacteristic, complemented
966C22×SD16C22×C8311yescharacteristic
967#563—21no—
968#562—21no—
969#556C22×C8311yescharacteristic, complemented
970#554—21no—
971#554C22×C8311yescharacteristic
972#553—21no—
973#553C22×C8311yescharacteristic
974#552C22×C8311yescharacteristic, complemented
975D4×Q8C22×C8311yescharacteristic
976D4×Q8C22×C8311yescharacteristic
977D4×Q8C22×C8311yescharacteristic
978#548C22×C8311yescharacteristic
979#548C22×C8311yescharacteristic
980#548C22×C8311yescharacteristic
981#548C22×C8311yescharacteristic, complemented
982#547—21no—
983#547—21no—
984#547C22×C8311yescharacteristic
985#547C22×C8311yescharacteristic
986#547C22×C8311yescharacteristic, complemented
987#546—21no—
988#546—21no—
989#546C22×C8311yescharacteristic
990#546C22×C8311yescharacteristic
991#542—21no—
992#542C22×C8311yescharacteristic, complemented
993#541C22×C8311yescharacteristic, complemented
994#539—21no—
995#538—21no—
996#538—21no—
997#537—21no—
998#537C22×C8311yescharacteristic
999#537C22×C8311yescharacteristic, complemented
1000#536—21no—
1001#536C22×C8311yescharacteristic
1002#536C22×C8311yescharacteristic, complemented
1003#525—21no—
1004#525C22×C8311yescharacteristic
1005#525C22×C8311yescharacteristic
1006C2×C22⋊Q8—21no—
1007C2×C22⋊Q8C22×C8311yescharacteristic
1008C2×C22⋊Q8C22×C8311yescharacteristic
1009#520C22×C8311yescharacteristic
1010#497C22×C8311yescharacteristic, complemented
1011#497C22×C8311yescharacteristic, complemented
1012#495C22×C8311yescharacteristic, complemented
1013#494C22×C8311yescharacteristic, complemented
1014#491C22×C8311yescharacteristic, complemented
1015#489C22×C8311yescharacteristic, complemented
1016#488C22×C8311yescharacteristic, complemented
1017#487C22×C8311yescharacteristic, complemented
1018#485C22×C8311yescharacteristic, complemented
1019#485C22×C8311yescharacteristic, complemented
1020#485C22×C8311yescharacteristic, complemented
1021#484C22×C8311yescharacteristic
1022#484C22×C8311yescharacteristic
1023#484C22×C8311yescharacteristic, complemented
1024#484C22×C8311yescharacteristic, complemented
1025#484C22×C8311yescharacteristic, complemented
1026#483C22×C8311yescharacteristic, complemented
1027#482C22×C8311yescharacteristic, complemented
1028#480C22×C8311yescharacteristic, complemented
1029#480C22×C8311yescharacteristic, complemented
1030#479C22×C8311yescharacteristic, complemented
1031#478C22×C8311yescharacteristic, complemented
1032#477C22×C8311yescharacteristic, complemented
1033#474C22×C8311yescharacteristic, complemented
1034#470C22×C8311yescharacteristic, complemented
1035#468C22×C8311yescharacteristic, complemented
1036#468C22×C8311yescharacteristic, complemented
1037#468C22×C8311yescharacteristic, complemented
1038#467C22×C8311yescharacteristic
1039#467C22×C8311yescharacteristic
1040#467C22×C8311yescharacteristic, complemented
1041#467C22×C8311yescharacteristic, complemented
1042#467C22×C8311yescharacteristic, complemented
1043#467C22×C8311yescharacteristic, complemented
1044#467C22×C8311yescharacteristic, complemented
1045#467C22×C8311yescharacteristic, complemented
1046#466C22×C8311yescharacteristic, complemented
1047#465C22×C8311yescharacteristic
1048#465C22×C8311yescharacteristic
1049#465C22×C8311yescharacteristic, complemented
1050#464C22×C8311yescharacteristic, complemented
1051#464C22×C8311yescharacteristic, complemented
1052#464C22×C8311yescharacteristic, complemented
1053#464C22×C8311yescharacteristic, complemented
1054#463C22×C8311yescharacteristic, complemented
1055#463C22×C8311yescharacteristic, complemented
1056#462C22×C8311yescharacteristic, complemented
1057#462C22×C8311yescharacteristic, complemented
1058#462C22×C8311yescharacteristic, complemented
1059#462C22×C8311yescharacteristic, complemented
1060#461C22×C8311yescharacteristic, complemented
1061#461C22×C8311yescharacteristic, complemented
1062#452C22×C8311yescharacteristic
1063#452C22×C8311yescharacteristic
1064#452C22×C8311yescharacteristic
1065#452C22×C8311yescharacteristic
1066#452C22×C8311yescharacteristic
1067#452C22×C8311yescharacteristic
1068#452C22×C8311yescharacteristic
1069#452C22×C8311yescharacteristic
1070#452C22×C8311yescharacteristic
1071#452C22×C8311yescharacteristic
1072#452C22×C8311yescharacteristic, complemented
1073#452C22×C8311yescharacteristic, complemented
1074#452C22×C8311yescharacteristic, complemented
1075#452C22×C8311yescharacteristic, complemented
1076#452C22×C8311yescharacteristic, complemented
1077#452C22×C8311yescharacteristic, complemented
1078#451C22×C8311yescharacteristic
1079#451C22×C8311yescharacteristic
1080#451C22×C8311yescharacteristic
1081#451C22×C8311yescharacteristic, complemented
1082#451C22×C8311yescharacteristic, complemented
1083#451C22×C8311yescharacteristic, complemented
1084#451C22×C8311yescharacteristic, complemented
1085#451C22×C8311yescharacteristic, complemented
1086#451C22×C8311yescharacteristic, complemented
1087#451C22×C8311yescharacteristic, complemented
1088#450C22×C8311yescharacteristic
1089#449C22×C8311yescharacteristic
1090#449C22×C8311yescharacteristic
1091#449C22×C8311yescharacteristic, complemented
1092#449C22×C8311yescharacteristic, complemented
1093#448C22×C8311yescharacteristic
1094#448C22×C8311yescharacteristic, complemented
1095#448C22×C8311yescharacteristic, complemented
1096#448C22×C8311yescharacteristic, complemented
1097#447C22×C8311yescharacteristic
1098#441C22×C8311yescharacteristic, complemented
1099#440C22×C8311yescharacteristic, complemented
1100#440C22×C8311yescharacteristic, complemented
1101#440C22×C8311yescharacteristic, complemented
1102C4×Q16C22×C8311yescharacteristic, complemented
1103C4×Q16C22×C8311yescharacteristic, complemented
1104C4×SD16C22×C8311yescharacteristic, complemented
1105C4×D8C22×C8311yescharacteristic, complemented
1106#435C22×C8311yescharacteristic
1107#435C22×C8311yescharacteristic
1108#435C22×C8311yescharacteristic, complemented
1109#435C22×C8311yescharacteristic, complemented
1110C8×D4C22×C8311yescharacteristic
1111C8×D4C22×C8311yescharacteristic
1112C8×D4C22×C8311yescharacteristic, complemented
1113C8×D4C22×C8311yescharacteristic, complemented
1114#433C22×C8311yescharacteristic, complemented
1115#433C22×C8311yescharacteristic, complemented
1116#419C22×C8311yescharacteristic, complemented
1117#417C22×C8311yescharacteristic, complemented
1118#416C22×C8311yescharacteristic
1119#416C22×C8311yescharacteristic
1120#416C22×C8311yescharacteristic, complemented
1121C2×#103C22×C8311yescharacteristic
1122C2×#103C22×C8311yescharacteristic, complemented
1123C2×#102C22×C8311yescharacteristic
1124#408C22×C8311yescharacteristic, complemented
1125#408C22×C8311yescharacteristic, complemented
1126C2×C22⋊C8C22×C8311yescharacteristic
1127C2×C22⋊C8C22×C8311yescharacteristic
11282−1+4—42no—
11292−1+4—42no—
1130C2×#41—21no—
1131C2×#41—21no—
1132C2×#41—21no—
1133C2×#41—21no—
1134C2×#41—21no—
1135C2×#41—42no—
1136C2×#41—42no—
1137C2×#41C23×C8311yescharacteristic
1138C2×#41C23×C8311yescharacteristic
1139C2×#41C23×C8311yescharacteristic
1140C2×#41C23×C8311yescharacteristic
1141C2×#41C23×C8311yescharacteristic
1142C2×#41C23×C8311yescharacteristic
1143C2×#41C23×C8311yescharacteristic
1144C2×#41C23×C8311yescharacteristic
1145C2×#41C23×C8311yescharacteristic
1146C22×Q8—21no—
1147C22×Q8C23×C8311yescharacteristic
1148C22×Q8C23×C8311yescharacteristic
1149C22×Q8C23×C8311yescharacteristic
1150C22×Q8C23×C8311yescharacteristic
1151C22×Q8C23×C8311yescharacteristic
1152C22×Q8C23×C8311yescharacteristic
1153C22×D4—21no—
1154C22×D4C23×C8311yescharacteristic
1155C23×C4—21no—
1156C23×C4C23×C8311yescharacteristic
1157#137—42no—
1158#137—42no—
1159#135—42no—
1160#135—42no—
1161#135—42no—
1162C2×Q16—42no—
1163C2×Q16—42no—
1164C2×Q16C23×C8311yescharacteristic
1165C2×Q16C23×C8311yescharacteristic
1166C2×Q16C23×C8311yescharacteristic
1167C2×Q16C23×C8311yescharacteristic
1168C2×Q16C23×C8311yescharacteristic
1169C2×Q16C23×C8311yescharacteristic
1170C2×Q16C23×C8311yescharacteristic
1171C2×Q16C23×C8311yescharacteristic
1172C2×Q16C23×C8311yescharacteristic
1173C2×Q16C23×C8311yescharacteristic
1174C2×Q16C23×C8311yescharacteristic
1175C2×Q16C23×C8311yescharacteristic
1176C2×SD16—42no—
1177C2×SD16C23×C8311yescharacteristic
1178C2×SD16C23×C8311yescharacteristic
1179C2×SD16C23×C8311yescharacteristic
1180C2×SD16C23×C8311yescharacteristic
1181C2×SD16C23×C8311yescharacteristic
1182C2×SD16C23×C8311yescharacteristic
1183C2×SD16C23×C8311yescharacteristic
1184C2×SD16C23×C8311yescharacteristic
1185C2×SD16C23×C8311yescharacteristic
1186C2×SD16C23×C8311yescharacteristic
1187C2×D8C23×C8311yescharacteristic
1188C2×D8C23×C8311yescharacteristic
1189C2×M16C23×C8311yescharacteristic
1190C2×M16C23×C8311yescharacteristic
1191C22×C8C23×C8311yescharacteristic
1192C22×C8C23×C8311yescharacteristic
1193C22×C8C23×C8311yescharacteristic
1194C22×C8C23×C8311yescharacteristic
1195C22×C8C23×C8311yescharacteristic
1196C22×C8C23×C8311yescharacteristic
1197C4⋊Q8—21no—
1198C4⋊Q8—21no—
1199C4⋊Q8—21no—
1200C4⋊Q8—21no—
1201C4⋊Q8C23×C8311yescharacteristic
1202C4⋊Q8C23×C8311yescharacteristic
1203C4⋊Q8C23×C8311yescharacteristic
1204C4⋊Q8C23×C8311yescharacteristic
1205#126—21no—
1206#126—21no—
1207#126—21no—
1208#126—21no—
1209#126—21no—
1210#126—21no—
1211#126—21no—
1212#125—21no—
1213#125—21no—
1214#125—21no—
1215#125—21no—
1216#125C23×C8311yescharacteristic
1217#124—21no—
1218#124—21no—
1219#124—21no—
1220#124—21no—
1221#124—21no—
1222#124—21no—
1223#124—21no—
1224#124C23×C8311yescharacteristic
1225#124C23×C8311yescharacteristic
1226#124C23×C8311yescharacteristic
1227#123—21no—
1228#123—21no—
1229#123—21no—
1230#123—21no—
1231#123—21no—
1232#123—21no—
1233#123—21no—
1234#123—21no—
1235#123—21no—
1236#123—21no—
1237#123—21no—
1238#123—21no—
1239#123—21no—
1240#123—21no—
1241#123—21no—
1242#123—21no—
1243#123D4×C8311yescharacteristic
1244#123D4×C8311yescharacteristic
1245C22⋊Q8—21no—
1246C22⋊Q8—21no—
1247C22⋊Q8—21no—
1248C22⋊Q8—21no—
1249C22⋊Q8—21no—
1250C22⋊Q8—21no—
1251C22⋊Q8—21no—
1252C22⋊Q8—21no—
1253C22⋊Q8—21no—
1254C22⋊Q8—21no—
1255C22⋊Q8—21no—
1256C22⋊Q8—21no—
1257C22⋊Q8—21no—
1258C22⋊Q8—21no—
1259C22⋊Q8—21no—
1260C22⋊Q8—21no—
1261C22⋊Q8—21no—
1262C22⋊Q8—21no—
1263C22⋊Q8—21no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8D4×C8311yescharacteristic
1267C22⋊Q8D4×C8311yescharacteristic
1268C22⋊Q8C23×C8311yescharacteristic
1269C22⋊Q8C23×C8311yescharacteristic
1270C22⋊Q8C23×C8311yescharacteristic
1271C22⋊Q8C23×C8311yescharacteristic
1272C22⋊Q8C23×C8311yescharacteristic
1273C22⋊Q8C23×C8311yescharacteristic
1274C22⋊Q8C23×C8311yescharacteristic
1275C22⋊Q8C23×C8311yescharacteristic
1276C22⋊Q8C23×C8311yescharacteristic
1277C22⋊Q8C23×C8311yescharacteristic
1278C22⋊Q8C23×C8311yescharacteristic
1279C22⋊Q8C23×C8311yescharacteristic
1280C22⋊Q8C23×C8311yescharacteristic
1281C22⋊Q8C23×C8311yescharacteristic
1282C22⋊Q8C23×C8311yescharacteristic
1283#121—21no—
1284#121—21no—
1285#121—21no—
1286#121—21no—
1287#121—21no—
1288#121—21no—
1289#121—21no—
1290#121—21no—
1291#121—21no—
1292#121—21no—
1293#121—21no—
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121D4×C8311yescharacteristic
1300#121D4×C8311yescharacteristic
1301#121C23×C8311yescharacteristic
1302#121C23×C8311yescharacteristic
1303#121C23×C8311yescharacteristic
1304#121C23×C8311yescharacteristic
1305#121C23×C8311yescharacteristic
1306#120—21no—
1307#120—21no—
1308#120—21no—
1309#120D4×C8311yescharacteristic
1310#120D4×C8311yescharacteristic
1311C4×Q8—21no—
1312C4×Q8C23×C8311yescharacteristic
1313C4×Q8C23×C8311yescharacteristic
1314C4×Q8C23×C8311yescharacteristic
1315C4×Q8C23×C8311yescharacteristic
1316C4×Q8C23×C8311yescharacteristic
1317C4×D4—21no—
1318C4×D4—21no—
1319C4×D4—21no—
1320C4×D4—21no—
1321C4×D4—21no—
1322C4×D4—21no—
1323C4×D4—21no—
1324C4×D4—21no—
1325C4×D4—21no—
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4C23×C8311yescharacteristic
1331C4×D4C23×C8311yescharacteristic
1332C4×D4C23×C8311yescharacteristic
1333C4×D4C23×C8311yescharacteristic
1334C4×D4C23×C8311yescharacteristic
1335C4×D4C23×C8311yescharacteristic
1336C4×D4C23×C8311yescharacteristic
1337#117—21no—
1338#117—21no—
1339#117C23×C8311yescharacteristic
1340#117C23×C8311yescharacteristic
1341#117C23×C8311yescharacteristic
1342C2×C4⋊C4—21no—
1343C2×C4⋊C4—21no—
1344C2×C4⋊C4—21no—
1345C2×C4⋊C4—21no—
1346C2×C4⋊C4—21no—
1347C2×C4⋊C4—21no—
1348C2×C4⋊C4C23×C8311yescharacteristic
1349C2×C4⋊C4C23×C8311yescharacteristic
1350C2×C4⋊C4C23×C8311yescharacteristic
1351C2×C22⋊C4—21no—
1352C2×C22⋊C4—21no—
1353C2×C22⋊C4—21no—
1354C2×C22⋊C4—21no—
1355#107C23×C8311yescharacteristic
1356#107C23×C8311yescharacteristic
1357#107C23×C8311yescharacteristic
1358#107C23×C8311yescharacteristic
1359#107C23×C8311yescharacteristic
1360#107C23×C8311yescharacteristic
1361#106C23×C8311yescharacteristic
1362#106C23×C8311yescharacteristic
1363C4⋊C8C23×C8311yescharacteristic
1364C4⋊C8C23×C8311yescharacteristic
1365C4⋊C8C23×C8311yescharacteristic
1366C4⋊C8C23×C8311yescharacteristic
1367#103C23×C8311yescharacteristic
1368#103C23×C8311yescharacteristic
1369#103C23×C8311yescharacteristic
1370#103C23×C8311yescharacteristic
1371#103C23×C8311yescharacteristic
1372#103C23×C8311yescharacteristic
1373#103C23×C8311yescharacteristic
1374#103C23×C8311yescharacteristic
1375#103C23×C8311yescharacteristic
1376#103C23×C8311yescharacteristic
1377#103C23×C8311yescharacteristic
1378#103C23×C8311yescharacteristic
1379#103C23×C8311yescharacteristic
1380#103C23×C8311yescharacteristic
1381#103C23×C8311yescharacteristic
1382#103C23×C8311yescharacteristic
1383#103C23×C8311yescharacteristic
1384#103C23×C8311yescharacteristic
1385#103C23×C8311yescharacteristic
1386#103C23×C8311yescharacteristic
1387#103C23×C8311yescharacteristic
1388#103C23×C8311yescharacteristic
1389#102C23×C8311yescharacteristic
1390#102C23×C8311yescharacteristic
1391#102C23×C8311yescharacteristic
1392#102C23×C8311yescharacteristic
1393#102C23×C8311yescharacteristic
1394#102C23×C8311yescharacteristic
1395#102C23×C8311yescharacteristic
1396#102C23×C8311yescharacteristic
1397#102C23×C8311yescharacteristic
1398#102C23×C8311yescharacteristic
1399C22⋊C8C23×C8311yescharacteristic
1400C22⋊C8C23×C8311yescharacteristic
1401C22⋊C8C23×C8311yescharacteristic
1402C22⋊C8C23×C8311yescharacteristic
1403C22⋊C8C23×C8311yescharacteristic
1404C22⋊C8C23×C8311yescharacteristic
1405C22⋊C8C23×C8311yescharacteristic
1406C22⋊C8C23×C8311yescharacteristic
1407C22⋊C8C23×C8311yescharacteristic
1408C22⋊C8C23×C8311yescharacteristic
1409C22⋊C8C23×C8311yescharacteristic
1410C22⋊C8C23×C8311yescharacteristic
1411#97C23×C8311yescharacteristic
1412#97C23×C8311yescharacteristic
1413C4×C8C23×C8311yescharacteristic
1414C4×C8C23×C8311yescharacteristic
1415C24—21no—
1416C24C2×D4×C8311yescharacteristic
1417#41—22no—
1418#41—22no—
1419#41—22no—
1420#41—22no—
1421#41—22no—
1422#41—22no—
1423#41—41no—
1424#41—41no—
1425#41—41no—
1426#41—41no—
1427#41—41no—
1428#41—41no—
1429#41—41no—
1430#41—41no—
1431#41—44no—
1432#41—44no—
1433#41—41no—
1434#41—41no—
1435#41—41no—
1436#41—41no—
1437#41—44no—
1438#41—44no—
1439#41—44no—
1440C2×Q8—21no—
1441C2×Q8—21no—
1442C2×Q8—21no—
1443C2×Q8—21no—
1444C2×Q8—21no—
1445C2×Q8—21no—
1446C2×Q8—21no—
1447C2×Q8—22no—
1448C2×Q8—22no—
1449C2×Q8—22no—
1450C2×Q8—41no—
1451C2×Q8—41no—
1452C2×Q8—41no—
1453C2×Q8—41no—
1454C2×Q8—41no—
1455C2×Q8—44no—
1456C2×Q8—41no—
1457C2×Q8—41no—
1458C2×Q8—41no—
1459C2×Q8—41no—
1460C2×Q8C2×D4×C8311yescharacteristic
1461C2×Q8C24×C8311yescharacteristic
1462C2×Q8C24×C8311yescharacteristic
1463C2×Q8C24×C8311yescharacteristic
1464C2×Q8C24×C8311yescharacteristic
1465C2×Q8C24×C8311yescharacteristic
1466C2×Q8C24×C8311yescharacteristic
1467C2×Q8C24×C8311yescharacteristic
1468C2×D4—21no—
1469C2×D4—22no—
1470C2×D4—21no—
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—41no—
1484C2×D4—44no—
1485C2×D4C2×D4×C8311yescharacteristic
1486C2×D4C2×D4×C8311yescharacteristic
1487C2×D4C2×D4×C8311yescharacteristic
1488C2×D4C2×D4×C8311yescharacteristic
1489C2×D4C2×D4×C8311yescharacteristic
1490C2×D4C2×D4×C8311yescharacteristic
1491C2×D4C2×D4×C8311yescharacteristic
1492C2×D4C24×C8311yescharacteristic
1493C2×D4C24×C8311yescharacteristic
1494C2×D4C24×C8311yescharacteristic
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—21no—
1498C22×C4—21no—
1499C22×C4—21no—
1500C22×C4—21no—
1501C22×C4—21no—
1502C22×C4—21no—
1503C22×C4—21no—
1504C22×C4—21no—
1505C22×C4—21no—
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—21no—
1514C22×C4—21no—
1515C22×C4—41no—
1516C22×C4—41no—
1517C22×C4—44no—
1518C22×C4C2×D4×C8311yescharacteristic
1519C22×C4C2×D4×C8311yescharacteristic
1520C22×C4C2×D4×C8311yescharacteristic
1521C22×C4C24×C8311yescharacteristic
1522C22×C4C24×C8311yescharacteristic
1523C22×C4C24×C8311yescharacteristic
1524C22×C4C24×C8311yescharacteristic
1525C22×C4C24×C8311yescharacteristic
1526Q16—22no—
1527Q16—22no—
1528Q16—22no—
1529Q16—41no—
1530Q16—41no—
1531Q16—41no—
1532Q16—41no—
1533Q16—41no—
1534Q16—41no—
1535Q16—41no—
1536Q16—41no—
1537Q16—41no—
1538SD16—22no—
1539SD16—22no—
1540SD16—22no—
1541SD16—22no—
1542SD16—41no—
1543SD16—41no—
1544SD16—41no—
1545SD16—41no—
1546SD16—41no—
1547SD16—41no—
1548D8—22no—
1549D8—41no—
1550M16—41no—
1551M16—41no—
1552C2×C8—41no—
1553C2×C8—41no—
1554C2×C8—41no—
1555C2×C8—41no—
1556C2×C8—41no—
1557C2×C8—41no—
1558C2×C8C24×C8311yescharacteristic
1559C2×C8C24×C8311yescharacteristic
1560C2×C8C24×C8311yescharacteristic
1561C2×C8C24×C8311yescharacteristic
1562C2×C8C24×C8311yescharacteristic
1563C2×C8C24×C8311yescharacteristic
1564C2×C8C24×C8311yescharacteristic
1565C2×C8C24×C8311yescharacteristic
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—21no—
1571C4⋊C4—21no—
1572C4⋊C4—21no—
1573C4⋊C4—21no—
1574C4⋊C4—21no—
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4C2×D4×C8311yescharacteristic
1599C4⋊C4C2×D4×C8311yescharacteristic
1600C4⋊C4C2×D4×C8311yescharacteristic
1601C4⋊C4C2×D4×C8311yescharacteristic
1602C4⋊C4C2×D4×C8311yescharacteristic
1603C4⋊C4C2×D4×C8311yescharacteristic
1604C4⋊C4C24×C8311yescharacteristic
1605C4⋊C4C24×C8311yescharacteristic
1606C4⋊C4C24×C8311yescharacteristic
1607C4⋊C4C24×C8311yescharacteristic
1608C4⋊C4C24×C8311yescharacteristic
1609C4⋊C4C24×C8311yescharacteristic
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4C2×D4×C8311yescharacteristic
1642C22⋊C4C2×D4×C8311yescharacteristic
1643C22⋊C4C2×D4×C8311yescharacteristic
1644C22⋊C4C2×D4×C8311yescharacteristic
1645C22⋊C4C2×D4×C8311yescharacteristic
1646C22⋊C4C2×D4×C8311yescharacteristic
1647C22⋊C4C2×D4×C8311yescharacteristic
1648C22⋊C4C2×D4×C8311yescharacteristic
1649C22⋊C4C2×D4×C8311yescharacteristic
1650C22⋊C4C2×D4×C8311yescharacteristic
1651C42—21no—
1652C42—21no—
1653C42—21no—
1654C42—21no—
1655C42—21no—
1656C42—21no—
1657C42—21no—
1658C42C24×C8311yescharacteristic
1659C42C24×C8311yescharacteristic
1660C23—21no—
1661C23—22no—
1662C23—21no—
1663C23—21no—
1664C23—41no—
1665C23—41no—
1666C23—42no—
1667C23—42no—
1668C23—81no—
1669C23C22×D4×C8311yescharacteristic
1670C23C22×D4×C8311yescharacteristic
1671C23C22×D4×C8311yescharacteristic
1672C23C22×D4×C8311yescharacteristic
1673C23C22×D4×C8311yescharacteristic
1674Q8—21no—
1675Q8—21no—
1676Q8—21no—
1677Q8—21no—
1678Q8—21no—
1679Q8—21no—
1680Q8—21no—
1681Q8—21no—
1682Q8—21no—
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—21no—
1687Q8—41no—
1688Q8—42no—
1689Q8—42no—
1690Q8—42no—
1691Q8—42no—
1692Q8—81no—
1693Q8—81no—
1694Q8—81no—
1695Q8H(5,𝔽2)×C8312yes—
1696D4—24no—
1697D4—22no—
1698D4—22no—
1699D4—21no—
1700D4—21no—
1701D4—21no—
1702D4—21no—
1703D4—21no—
1704D4—41no—
1705D4—41no—
1706D4—41no—
1707D4—41no—
1708D4—41no—
1709D4—42no—
1710D4—42no—
1711D4—42no—
1712D4—42no—
1713D4—42no—
1714D4—42no—
1715D4—42no—
1716D4—81no—
1717D4—81no—
1718D4—81no—
1719D4—81no—
1720D4—81no—
1721D4—81no—
1722D4H(5,𝔽2)×C8312yes—
1723C2×C4—24no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—41no—
1748C2×C4—41no—
1749C2×C4—41no—
1750C2×C4—42no—
1751C2×C4—42no—
1752C2×C4—42no—
1753C2×C4—42no—
1754C2×C4—42no—
1755C2×C4—42no—
1756C2×C4—42no—
1757C2×C4—42no—
1758C2×C4—42no—
1759C2×C4—81no—
1760C2×C4—81no—
1761C2×C4—81no—
1762C2×C4—81no—
1763C2×C4—81no—
1764C2×C4—81no—
1765C2×C4—81no—
1766C2×C4—81no—
1767C2×C4—81no—
1768C2×C4—81no—
1769C2×C4C22×D4×C8311yescharacteristic
1770C2×C4C22×D4×C8311yescharacteristic
1771C2×C4C22×D4×C8311yescharacteristic
1772C2×C4C22×D4×C8311yescharacteristic
1773C2×C4C22×D4×C8311yescharacteristic
1774C2×C4C22×D4×C8311yescharacteristic
1775C2×C4C22×D4×C8311yescharacteristic
1776C2×C4C22×D4×C8311yescharacteristic
1777C2×C4C22×D4×C8311yescharacteristic
1778C2×C4C25×C8311yescharacteristic
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—21no—
1783C8—21no—
1784C8—21no—
1785C8—21no—
1786C8—21no—
1787C22—21no—
1788C22—21no—
1789C22—21no—
1790C22—21no—
1791C22—21no—
1792C22—21no—
1793C22—21no—
1794C22—21no—
1795C22—21no—
1796C22—21no—
1797C22—21no—
1798C22—22no—
1799C22—21no—
1800C22—21no—
1801C22—21no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—82no—
1811C22—84no—
1812C22#578×C8312yes—
1813C22C23×D4×C8311yescharacteristic
1814C4—21no—
1815C4—21no—
1816C4—21no—
1817C4—21no—
1818C4—21no—
1819C4—22no—
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—41no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—41no—
1832C4—41no—
1833C4—41no—
1834C4—41no—
1835C4—41no—
1836C4C2×H(5,𝔽2)×C8311yescharacteristic
1837C4C2×H(5,𝔽2)×C8311yescharacteristic
1838C2—22no—
1839C2—41no—
1840C2—41no—
1841C2—41no—
1842C2—41no—
1843C2—42no—
1844C2—81no—
1845C2—81no—
1846C2C83×#348411yescharacteristic
1847C2C2×#578×C8311yescharacteristic
1848C2C83×#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×#3541C2semidirect
2. C83×#3489C2semidirect
3. C83×#3320C2semidirect
4. C83×#3315C2semidirect
5. C83×#3314C2semidirect
6. C83×#3313C2semidirect
7. C83×#3302C2semidirect
8. C83×#3300C2semidirect
9. C83×#3299C2semidirect
10. C83×#3297C2semidirect
11. D4×Q16×C83C2semidirect
12. C83×#3285C2semidirect
13. C83×#3283C2semidirect
14. C83×#3282C2semidirect
15. C83×#3270C2semidirect
16. C83×#3269C2semidirect
17. C83×#3269C2semidirect
18. C83×#3266C2semidirect
19. C83×#3225C2semidirect
20. C83×#3223C2semidirect
21. C83×#3203C2semidirect
22. C83×#3201C2semidirect
23. C83×#3190C2semidirect
24. C83×#3189C2semidirect
25. C83×#3124C2semidirect
26. C83×#3120C2semidirect
27. C83×#3013C2semidirect
28. C83×#3011C2semidirect
29. C83×#3002C2semidirect
30. C2×#452×C83C2semidirect
31. C83×#2977C2semidirect
34. C2×#137×C83C22semidirect
35. C2×#137×C83C22semidirect
38. C2×#135×C83C22semidirect
40. C22×Q16×C83C22semidirect
44. #556×C83C22semidirect
49. #552×C83C22semidirect
56. #548×C83C22semidirect
61. #547×C83C22semidirect
67. #542×C83C22semidirect
68. #541×C83C22semidirect
74. #537×C83C22semidirect
77. #536×C83C22semidirect
85. #497×C83C22semidirect
86. #497×C83C22semidirect
87. #495×C83C22semidirect
88. #494×C83C22semidirect
89. #491×C83C22semidirect
90. #489×C83C22semidirect
91. #488×C83C22semidirect
92. #487×C83C22semidirect
93. #485×C83C22semidirect
94. #485×C83C22semidirect
95. #485×C83C22semidirect
98. #484×C83C22semidirect
99. #484×C83C22semidirect
100. #484×C83C22semidirect
101. #483×C83C22semidirect
102. #482×C83C22semidirect
103. #480×C83C22semidirect
104. #480×C83C22semidirect
105. #479×C83C22semidirect
106. #478×C83C22semidirect
107. #477×C83C22semidirect
108. #474×C83C22semidirect
109. #470×C83C22semidirect
110. #468×C83C22semidirect
111. #468×C83C22semidirect
112. #468×C83C22semidirect
115. #467×C83C22semidirect
116. #467×C83C22semidirect
117. #467×C83C22semidirect
118. #467×C83C22semidirect
119. #467×C83C22semidirect
120. #467×C83C22semidirect
121. #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. #462×C83C22semidirect
133. #462×C83C22semidirect
134. #462×C83C22semidirect
135. #461×C83C22semidirect
136. #461×C83C22semidirect
147. #452×C83C22semidirect
148. #452×C83C22semidirect
149. #452×C83C22semidirect
150. #452×C83C22semidirect
151. #452×C83C22semidirect
152. #452×C83C22semidirect
156. #451×C83C22semidirect
157. #451×C83C22semidirect
158. #451×C83C22semidirect
159. #451×C83C22semidirect
160. #451×C83C22semidirect
161. #451×C83C22semidirect
162. #451×C83C22semidirect
166. #449×C83C22semidirect
167. #449×C83C22semidirect
169. #448×C83C22semidirect
170. #448×C83C22semidirect
171. #448×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
183. #435×C83C22semidirect
184. #435×C83C22semidirect
187. C8×D4×C83C22semidirect
188. C8×D4×C83C22semidirect
189. #433×C83C22semidirect
190. #433×C83C22semidirect
191. #419×C83C22semidirect
192. #417×C83C22semidirect
195. #416×C83C22semidirect
197. C2×#103×C83C22semidirect
199. #408×C83C22semidirect
200. #408×C83C22semidirect
913. #61642C83direct (N × H)
925. #3541C2×C83semidirect
926. #3489C2×C83semidirect
927. #3320C2×C83semidirect
928. #3315C2×C83semidirect
929. #3314C2×C83semidirect
930. #3313C2×C83semidirect
931. #3302C2×C83semidirect
932. #3300C2×C83semidirect
933. #3299C2×C83semidirect
934. #3297C2×C83semidirect
935. D4×Q16C2×C83semidirect
936. #3285C2×C83semidirect
937. #3283C2×C83semidirect
938. #3282C2×C83semidirect
939. #3270C2×C83semidirect
940. #3269C2×C83semidirect
941. #3269C2×C83semidirect
942. #3266C2×C83semidirect
943. #3225C2×C83semidirect
944. #3223C2×C83semidirect
945. #3203C2×C83semidirect
946. #3201C2×C83semidirect
947. #3190C2×C83semidirect
948. #3189C2×C83semidirect
949. #3124C2×C83semidirect
950. #3120C2×C83semidirect
951. #3013C2×C83semidirect
952. #3011C2×C83semidirect
953. #3002C2×C83semidirect
954. C2×#452C2×C83semidirect
955. #2977C2×C83semidirect
956. C83#61642direct (N × H)
959. C2×#137C22×C83semidirect
960. C2×#137C22×C83semidirect
963. C2×#135C22×C83semidirect
965. C22×Q16C22×C83semidirect
969. #556C22×C83semidirect
974. #552C22×C83semidirect
981. #548C22×C83semidirect
986. #547C22×C83semidirect
992. #542C22×C83semidirect
993. #541C22×C83semidirect
999. #537C22×C83semidirect
1002. #536C22×C83semidirect
1010. #497C22×C83semidirect
1011. #497C22×C83semidirect
1012. #495C22×C83semidirect
1013. #494C22×C83semidirect
1014. #491C22×C83semidirect
1015. #489C22×C83semidirect
1016. #488C22×C83semidirect
1017. #487C22×C83semidirect
1018. #485C22×C83semidirect
1019. #485C22×C83semidirect
1020. #485C22×C83semidirect
1023. #484C22×C83semidirect
1024. #484C22×C83semidirect
1025. #484C22×C83semidirect
1026. #483C22×C83semidirect
1027. #482C22×C83semidirect
1028. #480C22×C83semidirect
1029. #480C22×C83semidirect
1030. #479C22×C83semidirect
1031. #478C22×C83semidirect
1032. #477C22×C83semidirect
1033. #474C22×C83semidirect
1034. #470C22×C83semidirect
1035. #468C22×C83semidirect
1036. #468C22×C83semidirect
1037. #468C22×C83semidirect
1040. #467C22×C83semidirect
1041. #467C22×C83semidirect
1042. #467C22×C83semidirect
1043. #467C22×C83semidirect
1044. #467C22×C83semidirect
1045. #467C22×C83semidirect
1046. #466C22×C83semidirect
1049. #465C22×C83semidirect
1050. #464C22×C83semidirect
1051. #464C22×C83semidirect
1052. #464C22×C83semidirect
1053. #464C22×C83semidirect
1054. #463C22×C83semidirect
1055. #463C22×C83semidirect
1056. #462C22×C83semidirect
1057. #462C22×C83semidirect
1058. #462C22×C83semidirect
1059. #462C22×C83semidirect
1060. #461C22×C83semidirect
1061. #461C22×C83semidirect
1072. #452C22×C83semidirect
1073. #452C22×C83semidirect
1074. #452C22×C83semidirect
1075. #452C22×C83semidirect
1076. #452C22×C83semidirect
1077. #452C22×C83semidirect
1081. #451C22×C83semidirect
1082. #451C22×C83semidirect
1083. #451C22×C83semidirect
1084. #451C22×C83semidirect
1085. #451C22×C83semidirect
1086. #451C22×C83semidirect
1087. #451C22×C83semidirect
1091. #449C22×C83semidirect
1092. #449C22×C83semidirect
1094. #448C22×C83semidirect
1095. #448C22×C83semidirect
1096. #448C22×C83semidirect
1098. #441C22×C83semidirect
1099. #440C22×C83semidirect
1100. #440C22×C83semidirect
1101. #440C22×C83semidirect
1102. C4×Q16C22×C83semidirect
1103. C4×Q16C22×C83semidirect
1104. C4×SD16C22×C83semidirect
1105. C4×D8C22×C83semidirect
1108. #435C22×C83semidirect
1109. #435C22×C83semidirect
1112. C8×D4C22×C83semidirect
1113. C8×D4C22×C83semidirect
1114. #433C22×C83semidirect
1115. #433C22×C83semidirect
1116. #419C22×C83semidirect
1117. #417C22×C83semidirect
1120. #416C22×C83semidirect
1122. C2×#103C22×C83semidirect
1124. #408C22×C83semidirect
1125. #408C22×C83semidirect

Maximal subgroups

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

subgroupindex
C83×#35412
C83×#34892
C83×#33202
C83×#33152
C83×#33142
C83×#33132
C83×#33022
C83×#33002
C83×#32992
C83×#32972
D4×Q16×C832
C83×#32852
C83×#32832
C83×#32822
C83×#32702
C83×#32692
C83×#32662
C83×#32252
C83×#32232
C83×#32032
C83×#32012
C83×#31902
C83×#31892
C83×#31242
C83×#31202
C83×#30132
C83×#30112
C83×#30022
C2×#452×C832
C83×#29772
#6164283