Finite Group Databasebeta

← C83×#62952 #35290776

Subgroups — C83×#62952 #35290776

Order 21248.

6548 conjugacy classes of subgroups.

The subgroup lattice has 1298 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#3565C216yesmaximal, complemented
2C83×#3559C216yesmaximal, complemented
3C83×#3554C213yesmaximal, complemented
4C83×#3554C216yesmaximal, complemented
5C83×#3548C213yesmaximal, complemented
6C83×#3547C213yesmaximal, complemented
7C83×#3547C216yesmaximal, complemented
8C83×#3544C213yesmaximal, complemented
9C83×#3524C212yesmaximal, complemented
10C83×#3524C212yesmaximal, complemented
11C83×#3522C213yesmaximal, complemented
12C83×#3522C211yesmaximal, characteristic, complemented
13C83×#3517C212yesmaximal, complemented
14C83×#3517C211yesmaximal, characteristic, complemented
15C83×#3515C213yesmaximal, complemented
16C83×#3511C213yesmaximal, complemented
17C83×#3504C212yesmaximal, complemented
18C83×#3503C211yesmaximal, characteristic, complemented
19C83×#3502C211yesmaximal, characteristic, complemented
20C83×#3483C211yesmaximal, characteristic, complemented
21C83×#3480C211yesmaximal, characteristic, complemented
22Q8×#41×C83C211yesmaximal, characteristic, complemented
23C83×#3461C213yesmaximal, complemented
24#563×C83C22112yes—
25#562×C83C22112yes—
26#562×C83C22112yes—
27#562×C83C22112yes—
28#559×C83C2213yes—
29#559×C83C2216yes—
30#559×C83C2213yes—
31#559×C83C2216yes—
32Q82×C83C2213yes—
33Q82×C83C2211yescharacteristic
34Q82×C83C2211yescharacteristic
35#557×C83C2216yes—
36#557×C83C2213yes—
37#557×C83C2211yescharacteristic
38#557×C83C2212yes—
39#557×C83C2211yescharacteristic
40#557×C83C2212yes—
41#557×C83C2212yes—
42#556×C83C2213yes—
43#556×C83C2216yes—
44#555×C83C2213yes—
45#555×C83C2216yes—
46#555×C83C2216yes—
47#555×C83C2216yes—
48#554×C83C2213yes—
49#554×C83C2213yes—
50#554×C83C2216yes—
51#554×C83C2213yes—
52#554×C83C2216yes—
53#554×C83C2213yes—
54#554×C83C2216yes—
55#554×C83C2216yes—
56#554×C83C2216yes—
57#553×C83C2213yes—
58#553×C83C2216yes—
59#553×C83C2216yes—
60#553×C83C2213yes—
61#553×C83C2216yes—
62#553×C83C2216yes—
63#553×C83C2216yes—
64#552×C83C2216yes—
65#552×C83C2216yes—
66#552×C83C22112yes—
67#552×C83C2216yes—
68#550×C83C2213yes—
69#550×C83C2216yes—
70#550×C83C2213yes—
71#550×C83C2211yescharacteristic
72#550×C83C2211yescharacteristic
73#550×C83C2212yes—
74#550×C83C2212yes—
75D4×Q8×C83C2213yes—
76D4×Q8×C83C2216yes—
77#548×C83C2216yes—
78#548×C83C2216yes—
79#548×C83C2216yes—
80#548×C83C2211yescharacteristic
81#548×C83C2211yescharacteristic
82#548×C83C2212yes—
83#547×C83C2216yes—
84#547×C83C2216yes—
85#547×C83C2216yes—
86#547×C83C2213yes—
87#547×C83C2216yes—
88#547×C83C22112yes—
89#547×C83C2216yes—
90#544×C83C2213yes—
91#544×C83C2216yes—
92#544×C83C2216yes—
93#544×C83C2216yes—
94#544×C83C2216yes—
95#542×C83C2216yes—
96#542×C83C2216yes—
97#542×C83C2216yes—
98#542×C83C22112yes—
99#542×C83C22112yes—
100#542×C83C2216yes—
101#542×C83C2216yes—
102#542×C83C2213yes—
103#542×C83C2213yes—
104#541×C83C2216yes—
105#541×C83C2211yescharacteristic
106#541×C83C2213yes—
107#540×C83C2216yes—
108#540×C83C2216yes—
109#540×C83C2216yes—
110#540×C83C2216yes—
111#540×C83C2216yes—
112#539×C83C2216yes—
113#539×C83C22112yes—
114#539×C83C22112yes—
115#539×C83C2216yes—
116#537×C83C22112yes—
117#537×C83C2216yes—
118#537×C83C2213yes—
119#536×C83C22112yes—
120#536×C83C2213yes—
121#536×C83C2213yes—
122#533×C83C2216yes—
123#533×C83C2213yes—
124#533×C83C2213yes—
125#533×C83C2213yes—
126#533×C83C2216yes—
127#533×C83C2213yes—
128#532×C83C2213yes—
129#532×C83C2216yes—
130#532×C83C2213yes—
131#532×C83C2216yes—
132#532×C83C2213yes—
133#532×C83C2213yes—
134C2×C4⋊Q8×C83C2213yes—
135#529×C83C2213yes—
136#529×C83C2213yes—
137#529×C83C2213yes—
138#529×C83C2216yes—
139#529×C83C2216yes—
140#529×C83C2216yes—
141#529×C83C2216yes—
142#529×C83C2216yes—
143#529×C83C2213yes—
144C2×#125×C83C2216yes—
145#520×C83C2212yes—
146#520×C83C2212yes—
147#520×C83C2212yes—
148#520×C83C2216yes—
149#519×C83C2212yes—
150C4×#41×C83C2213yes—
151C4×#41×C83C2213yes—
152C4×#41×C83C2211yescharacteristic
153C4×#41×C83C2212yes—
154C4×#41×C83C2211yescharacteristic
155C4×#41×C83C2212yes—
156C2×C4×Q8×C83C2213yes—
157C2×C4×Q8×C83C2211yescharacteristic
158C2×#41×C83C2311yescharacteristic
159C2×#41×C83C2311yescharacteristic
160C2×#41×C83C2312yes—
161C2×#41×C83C2313yes—
162C2×#41×C83C2313yes—
163C2×#41×C83C2316yes—
164C2×#41×C83C2316yes—
165C2×#41×C83C23112yes—
166C2×#41×C83C2316yes—
167C22×Q8×C83C2311yescharacteristic
168C22×Q8×C83C2313yes—
169C22×Q8×C83C2316yes—
170C4⋊Q8×C83C2313yes—
171C4⋊Q8×C83C2313yes—
172C4⋊Q8×C83C2313yes—
173C4⋊Q8×C83C2316yes—
174C4⋊Q8×C83C2316yes—
175C4⋊Q8×C83C2313yes—
176C4⋊Q8×C83C2316yes—
177C4⋊Q8×C83C2316yes—
178C4⋊Q8×C83C2313yes—
179C4⋊Q8×C83C2311yescharacteristic
180C4⋊Q8×C83C2316yes—
181C4⋊Q8×C83C2316yes—
182C4⋊Q8×C83C2313yes—
183C4⋊Q8×C83C2313yes—
184C4⋊Q8×C83C2316yes—
185C4⋊Q8×C83C2316yes—
186C4⋊Q8×C83C23112yes—
187#127×C83C2313yes—
188#127×C83C2316yes—
189#127×C83C2316yes—
190#127×C83C2313yes—
191#126×C83C2312yes—
192#126×C83C2316yes—
193#126×C83C2316yes—
194#126×C83C2312yes—
195#126×C83C2316yes—
196#126×C83C2316yes—
197#126×C83C2316yes—
198#126×C83C2316yes—
199#126×C83C2316yes—
200#126×C83C2316yes—
201#126×C83C23112yes—
202#126×C83C23112yes—
203#125×C83C2313yes—
204#125×C83C2316yes—
205#125×C83C2316yes—
206#125×C83C2316yes—
207#125×C83C2316yes—
208#125×C83C23112yes—
209#125×C83C2312yes—
210#125×C83C2311yescharacteristic
211#125×C83C2316yes—
212#125×C83C2313yes—
213#125×C83C2316yes—
214#125×C83C2313yes—
215#125×C83C2316yes—
216#125×C83C2312yes—
217#125×C83C2316yes—
218#125×C83C2316yes—
219#125×C83C2316yes—
220#125×C83C2316yes—
221#125×C83C2316yes—
222#125×C83C23112yes—
223#124×C83C2313yes—
224#124×C83C2313yes—
225#124×C83C2316yes—
226#124×C83C2313yes—
227#124×C83C2316yes—
228#124×C83C2316yes—
229#124×C83C2316yes—
230#124×C83C2313yes—
231#124×C83C23112yes—
232#124×C83C2316yes—
233#124×C83C2316yes—
234#124×C83C2316yes—
235#124×C83C23112yes—
236#124×C83C23112yes—
237#123×C83C2316yes—
238#123×C83C2316yes—
239#123×C83C2316yes—
240#123×C83C2316yes—
241#123×C83C2316yes—
242#123×C83C2316yes—
243#123×C83C2316yes—
244#123×C83C2316yes—
245#123×C83C2316yes—
246#123×C83C2316yes—
247#123×C83C23112yes—
248#123×C83C23112yes—
249#123×C83C23112yes—
250#123×C83C23112yes—
251#123×C83C23112yes—
252#123×C83C23112yes—
253#123×C83C23112yes—
254#123×C83C23112yes—
255C22⋊Q8×C83C2311yescharacteristic
256C22⋊Q8×C83C2313yes—
257C22⋊Q8×C83C2316yes—
258C22⋊Q8×C83C2316yes—
259C22⋊Q8×C83C2313yes—
260C22⋊Q8×C83C2316yes—
261C22⋊Q8×C83C2316yes—
262C22⋊Q8×C83C2313yes—
263C22⋊Q8×C83C2313yes—
264C22⋊Q8×C83C2311yescharacteristic
265C22⋊Q8×C83C23112yes—
266C22⋊Q8×C83C2313yes—
267C22⋊Q8×C83C2316yes—
268C22⋊Q8×C83C2316yes—
269C22⋊Q8×C83C2313yes—
270C22⋊Q8×C83C2316yes—
271C22⋊Q8×C83C2316yes—
272C22⋊Q8×C83C2316yes—
273C22⋊Q8×C83C2316yes—
274C22⋊Q8×C83C2316yes—
275C22⋊Q8×C83C2316yes—
276C22⋊Q8×C83C23112yes—
277C22⋊Q8×C83C2316yes—
278C22⋊Q8×C83C23112yes—
279C22⋊Q8×C83C23112yes—
280C22⋊Q8×C83C23112yes—
281C22⋊Q8×C83C23112yes—
282C22⋊Q8×C83C23112yes—
283C22⋊Q8×C83C23112yes—
284C22⋊Q8×C83C23112yes—
285#121×C83C2313yes—
286#121×C83C2313yes—
287#121×C83C2316yes—
288#121×C83C2316yes—
289#121×C83C2316yes—
290#121×C83C2316yes—
291#121×C83C2313yes—
292#121×C83C2313yes—
293#121×C83C2316yes—
294#121×C83C2316yes—
295#121×C83C23112yes—
296#121×C83C2316yes—
297#121×C83C2316yes—
298#121×C83C23112yes—
299#121×C83C2316yes—
300#121×C83C2313yes—
301#121×C83C2313yes—
302#121×C83C2316yes—
303#121×C83C2316yes—
304#121×C83C2316yes—
305#121×C83C23112yes—
306#121×C83C23112yes—
307#121×C83C23112yes—
308#121×C83C23112yes—
309#121×C83C23112yes—
310C4×Q8×C83C2311yescharacteristic
311C4×Q8×C83C2311yescharacteristic
312C4×Q8×C83C2313yes—
313C4×Q8×C83C2311yescharacteristic
314C4×Q8×C83C2313yes—
315C4×Q8×C83C2313yes—
316C4×Q8×C83C2313yes—
317C4×Q8×C83C2316yes—
318C4×Q8×C83C2316yes—
319C4×Q8×C83C2313yes—
320C4×Q8×C83C2311yescharacteristic
321C4×Q8×C83C2311yescharacteristic
322C4×Q8×C83C2312yes—
323C4×Q8×C83C2312yes—
324C4×Q8×C83C2311yescharacteristic
325C4×Q8×C83C2312yes—
326C4×Q8×C83C2313yes—
327C4×Q8×C83C2313yes—
328C4×Q8×C83C2313yes—
329C4×Q8×C83C2316yes—
330C4×Q8×C83C2316yes—
331C4×Q8×C83C2316yes—
332C4×Q8×C83C2316yes—
333C4×Q8×C83C2316yes—
334C4×Q8×C83C2316yes—
335C4×Q8×C83C2316yes—
336C4×D4×C83C2313yes—
337C4×D4×C83C2313yes—
338C4×D4×C83C2313yes—
339C4×D4×C83C2313yes—
340C4×D4×C83C2316yes—
341C4×D4×C83C2313yes—
342C4×D4×C83C2313yes—
343C4×D4×C83C2313yes—
344C4×D4×C83C2316yes—
345C4×D4×C83C2313yes—
346C4×D4×C83C2316yes—
347C4×D4×C83C2313yes—
348C4×D4×C83C2313yes—
349C4×D4×C83C2313yes—
350C4×D4×C83C2316yes—
351C4×D4×C83C2316yes—
352C4×D4×C83C2316yes—
353C4×D4×C83C2313yes—
354C4×D4×C83C23112yes—
355C4×D4×C83C2316yes—
356C4×D4×C83C2316yes—
357C4×D4×C83C2316yes—
358C4×D4×C83C2316yes—
359C4×D4×C83C2316yes—
360C4×D4×C83C2316yes—
361C4×D4×C83C23112yes—
362C4×D4×C83C2316yes—
363C4×D4×C83C2316yes—
364C4×D4×C83C2316yes—
365C4×D4×C83C2316yes—
366C4×D4×C83C23112yes—
367C4×D4×C83C2316yes—
368#117×C83C2311yescharacteristic
369#117×C83C2313yes—
370#117×C83C2313yes—
371#117×C83C2316yes—
372#117×C83C2313yes—
373#117×C83C2313yes—
374#117×C83C2316yes—
375#117×C83C2316yes—
376#117×C83C2313yes—
377#117×C83C2316yes—
378#117×C83C2316yes—
379#117×C83C2316yes—
380#117×C83C2316yes—
381#117×C83C2316yes—
382#117×C83C23112yes—
383#117×C83C23112yes—
384C2×C4⋊C4×C83C2313yes—
385C2×C4⋊C4×C83C2316yes—
386C2×C4⋊C4×C83C2313yes—
387C2×C4⋊C4×C83C23112yes—
388C2×C4⋊C4×C83C2316yes—
389C2×C4⋊C4×C83C2316yes—
390C2×C4⋊C4×C83C2316yes—
391C2×C4⋊C4×C83C2316yes—
392C2×C4⋊C4×C83C23112yes—
393C2×C42×C83C2313yes—
394C2×C42×C83C2316yes—
395C2×C42×C83C2313yes—
396C2×C42×C83C2316yes—
397C2×C42×C83C2313yes—
398#41×C83—24no—
399#41×C83—24no—
400#41×C83—28no—
401#41×C83—46no—
402#41×C83—46no—
403#41×C83—412no—
404#41×C83—812no—
405#41×C83—86no—
406#41×C83—86no—
407C2×Q8×C83—24no—
408C2×Q8×C83—46no—
409C2×Q8×C83—86no—
410C2×Q8×C83C2413yes—
411C2×Q8×C83C2411yescharacteristic
412C2×Q8×C83C2413yes—
413C2×Q8×C83C2411yescharacteristic
414C2×Q8×C83C2416yes—
415C2×Q8×C83C2413yes—
416C2×Q8×C83C2416yes—
417C2×Q8×C83C2416yes—
418C2×Q8×C83C2416yes—
419C2×Q8×C83C2416yes—
420C2×Q8×C83C2411yescharacteristic
421C2×D4×C83C2413yes—
422C2×D4×C83C2413yes—
423C2×D4×C83C2416yes—
424C2×D4×C83C2413yes—
425C2×D4×C83C2413yes—
426C2×D4×C83C2413yes—
427C2×D4×C83C24112yes—
428C2×D4×C83C2416yes—
429C2×D4×C83C2413yes—
430C2×D4×C83C2416yes—
431C2×D4×C83C2416yes—
432C2×D4×C83C24112yes—
433C2×D4×C83C2416yes—
434C2×D4×C83C2416yes—
435C22×C4×C83C2413yes—
436C22×C4×C83C2411yescharacteristic
437C22×C4×C83C2416yes—
438C22×C4×C83C2413yes—
439C22×C4×C83C2413yes—
440C22×C4×C83C2413yes—
441C22×C4×C83C2413yes—
442C22×C4×C83C2416yes—
443C22×C4×C83C2413yes—
444C22×C4×C83C2416yes—
445C22×C4×C83C2413yes—
446C22×C4×C83C2416yes—
447C22×C4×C83C2416yes—
448C22×C4×C83C2413yes—
449C22×C4×C83C24112yes—
450C22×C4×C83C24112yes—
451C22×C4×C83C24112yes—
452C4⋊C4×C83C2413yes—
453C4⋊C4×C83C2413yes—
454C4⋊C4×C83C2413yes—
455C4⋊C4×C83C2416yes—
456C4⋊C4×C83C2411yescharacteristic
457C4⋊C4×C83C2412yes—
458C4⋊C4×C83C2413yes—
459C4⋊C4×C83C2416yes—
460C4⋊C4×C83C2413yes—
461C4⋊C4×C83C24112yes—
462C4⋊C4×C83C2416yes—
463C4⋊C4×C83C2416yes—
464C4⋊C4×C83C2416yes—
465C4⋊C4×C83C2416yes—
466C4⋊C4×C83C2416yes—
467C4⋊C4×C83C2416yes—
468C4⋊C4×C83C2416yes—
469C4⋊C4×C83C2413yes—
470C4⋊C4×C83C2416yes—
471C4⋊C4×C83C24112yes—
472C4⋊C4×C83C24112yes—
473C4⋊C4×C83C2416yes—
474C4⋊C4×C83C2416yes—
475C4⋊C4×C83C2416yes—
476C4⋊C4×C83C2416yes—
477C4⋊C4×C83C2413yes—
478C4⋊C4×C83C2413yes—
479C4⋊C4×C83C2411yescharacteristic
480C4⋊C4×C83C2412yes—
481C4⋊C4×C83C2412yes—
482C4⋊C4×C83C2412yes—
483C4⋊C4×C83C2412yes—
484C4⋊C4×C83C2416yes—
485C4⋊C4×C83C2411yescharacteristic
486C4⋊C4×C83C2411yescharacteristic
487C4⋊C4×C83C2416yes—
488C4⋊C4×C83C2413yes—
489C4⋊C4×C83C2413yes—
490C4⋊C4×C83C2416yes—
491C4⋊C4×C83C2416yes—
492C4⋊C4×C83C2412yes—
493C4⋊C4×C83C2416yes—
494C4⋊C4×C83C2416yes—
495C4⋊C4×C83C2412yes—
496C4⋊C4×C83C2416yes—
497C4⋊C4×C83C2412yes—
498C22⋊C4×C83C2416yes—
499C22⋊C4×C83C2412yes—
500C22⋊C4×C83C2416yes—
501C22⋊C4×C83C2416yes—
502C22⋊C4×C83C2416yes—
503C22⋊C4×C83C2413yes—
504C22⋊C4×C83C2411yescharacteristic
505C22⋊C4×C83C2413yes—
506C22⋊C4×C83C2411yescharacteristic
507C22⋊C4×C83C2416yes—
508C22⋊C4×C83C2416yes—
509C22⋊C4×C83C2416yes—
510C22⋊C4×C83C24112yes—
511C22⋊C4×C83C2416yes—
512C22⋊C4×C83C2416yes—
513C22⋊C4×C83C24112yes—
514C22⋊C4×C83C2416yes—
515C22⋊C4×C83C2416yes—
516C22⋊C4×C83C2416yes—
517C22⋊C4×C83C2413yes—
518C22⋊C4×C83C2416yes—
519C22⋊C4×C83C2416yes—
520C22⋊C4×C83C24112yes—
521C22⋊C4×C83C2413yes—
522C22⋊C4×C83C2416yes—
523C22⋊C4×C83C2416yes—
524C22⋊C4×C83C2412yes—
525C22⋊C4×C83C2416yes—
526C42×C83C2411yescharacteristic
527C42×C83C2411yescharacteristic
528C42×C83C2413yes—
529C42×C83C2413yes—
530C42×C83C2412yes—
531C42×C83C2412yes—
532C42×C83C2416yes—
533C42×C83C2416yes—
534C42×C83C2413yes—
535C42×C83C2413yes—
536C42×C83C2416yes—
537C42×C83C2413yes—
538C42×C83C2413yes—
539C42×C83C2416yes—
540C42×C83C2416yes—
541C42×C83C2413yes—
542C42×C83C2413yes—
543C42×C83C24112yes—
544C23×C83C2511yescharacteristic
545C23×C83C2513yes—
546C23×C83C2513yes—
547C23×C83C2516yes—
548Q8×C83—26no—
549Q8×C83—22no—
550Q8×C83—26no—
551Q8×C83—22no—
552Q8×C83—46no—
553Q8×C83—46no—
554Q8×C83—46no—
555Q8×C83—46no—
556Q8×C83—43no—
557Q8×C83—46no—
558Q8×C832−1+414yes—
559D4×C83—26no—
560D4×C83—26no—
561D4×C83—212no—
562D4×C83—26no—
563D4×C83—43no—
564D4×C83—43no—
565D4×C83—43no—
566D4×C83—46no—
567D4×C83—412no—
568D4×C83—46no—
569D4×C83—46no—
570D4×C83—46no—
571D4×C83—46no—
572D4×C83—412no—
573C2×C4×C83—26no—
574C2×C4×C83—26no—
575C2×C4×C83—212no—
576C2×C4×C83—26no—
577C2×C4×C83—26no—
578C2×C4×C83—26no—
579C2×C4×C83—22no—
580C2×C4×C83—46no—
581C2×C4×C83—43no—
582C2×C4×C83—412no—
583C2×C4×C83—412no—
584C2×C4×C83—46no—
585C2×C4×C83—43no—
586C2×C4×C83—46no—
587C2×C4×C83—412no—
588C2×C4×C83—43no—
589C2×C4×C83—46no—
590C2×C4×C83C2511yescharacteristic
591C2×C4×C83C2513yes—
592C2×C4×C83C2511yescharacteristic
593C2×C4×C83C2511yescharacteristic
594C2×C4×C83C2511yescharacteristic
595C2×C4×C83C2512yes—
596C2×C4×C83C2512yes—
597C2×C4×C83C2511yescharacteristic
598C2×C4×C83C2513yes—
599C2×C4×C83C2516yes—
600C2×C4×C83C2513yes—
601C2×C4×C83C2516yes—
602C2×C4×C83C2512yes—
603C2×C4×C83C2512yes—
604C2×C4×C83C2513yes—
605C2×C4×C83C2516yes—
606C2×C4×C83C2513yes—
607C2×C4×C83C2513yes—
608C2×C4×C83C2511yescharacteristic
609C22×C83—21no—
610C22×C83—23no—
611C22×C83—23no—
612C22×C83—26no—
613C22×C83—23no—
614C22×C83—21no—
615C22×C83—23no—
616C22×C83—26no—
617C22×C83—23no—
618C22×C83—21no—
619C22×C83—23no—
620C22×C83—26no—
621C22×C83C2611yescharacteristic
622C4×C83—21no—
623C4×C83—21no—
624C4×C83—22no—
625C4×C83—23no—
626C4×C83—23no—
627C4×C83—23no—
628C4×C83—21no—
629C4×C83—22no—
630C4×C83—26no—
631C4×C83—22no—
632C4×C83—21no—
633C4×C83—23no—
634C4×C83—26no—
635C4×C83—22no—
636C4×C83—23no—
637C4×C83—26no—
638C4×C83—21no—
639C4×C83C2×2−1+416yes—
640C4×C83#58512yes—
641#62952C8311yesmaximal, characteristic, direct product factor, Sylow
642C2×C83—41no—
643C2×C83—43no—
644C2×C83—43no—
645C2×C83—46no—
646C2×C83C22×2−1+411yescharacteristic
647C2×C83C2×#58511yescharacteristic
648C2×C83H(7,𝔽2)11yescharacteristic
649#3565C2×C8316yescomplemented
650#3559C2×C8316yescomplemented
651#3554C2×C8313yescomplemented
652#3554C2×C8316yescomplemented
653#3548C2×C8313yescomplemented
654#3547C2×C8313yescomplemented
655#3547C2×C8316yescomplemented
656#3544C2×C8313yescomplemented
657#3524C2×C8312yescomplemented
658#3524C2×C8312yescomplemented
659#3522C2×C8313yescomplemented
660#3522C2×C8311yescharacteristic, complemented
661#3517C2×C8312yescomplemented
662#3517C2×C8311yescharacteristic, complemented
663#3515C2×C8313yescomplemented
664#3511C2×C8313yescomplemented
665#3504C2×C8312yescomplemented
666#3503C2×C8311yescharacteristic, complemented
667#3502C2×C8311yescharacteristic, complemented
668#3483C2×C8311yescharacteristic, complemented
669#3480C2×C8311yescharacteristic, complemented
670Q8×#41C2×C8311yescharacteristic, complemented
671#3461C2×C8313yescomplemented
672C83#6295211yescharacteristic, direct product factor, Sylow
673#563C22×C83112yes—
674#562C22×C83112yes—
675#562C22×C83112yes—
676#562C22×C83112yes—
677#559C22×C8313yes—
678#559C22×C8313yes—
679#559C22×C8316yes—
680#559C22×C8316yes—
681Q82C22×C8311yescharacteristic
682Q82C22×C8311yescharacteristic
683Q82C22×C8313yes—
684#557C22×C8311yescharacteristic
685#557C22×C8312yes—
686#557C22×C8311yescharacteristic
687#557C22×C8312yes—
688#557C22×C8313yes—
689#557C22×C8316yes—
690#557C22×C8312yes—
691#556C22×C8313yes—
692#556C22×C8316yes—
693#555C22×C8313yes—
694#555C22×C8316yes—
695#555C22×C8316yes—
696#555C22×C8316yes—
697#554C22×C8313yes—
698#554C22×C8316yes—
699#554C22×C8313yes—
700#554C22×C8313yes—
701#554C22×C8316yes—
702#554C22×C8316yes—
703#554C22×C8316yes—
704#554C22×C8316yes—
705#554C22×C8313yes—
706#553C22×C8313yes—
707#553C22×C8313yes—
708#553C22×C8316yes—
709#553C22×C8316yes—
710#553C22×C8316yes—
711#553C22×C8316yes—
712#553C22×C8316yes—
713#552C22×C8316yes—
714#552C22×C8316yes—
715#552C22×C83112yes—
716#552C22×C8316yes—
717#550C22×C8311yescharacteristic
718#550C22×C8311yescharacteristic
719#550C22×C8312yes—
720#550C22×C8313yes—
721#550C22×C8312yes—
722#550C22×C8313yes—
723#550C22×C8316yes—
724D4×Q8C22×C8313yes—
725D4×Q8C22×C8316yes—
726#548C22×C8311yescharacteristic
727#548C22×C8311yescharacteristic
728#548C22×C8316yes—
729#548C22×C8316yes—
730#548C22×C8312yes—
731#548C22×C8316yes—
732#547C22×C8316yes—
733#547C22×C8313yes—
734#547C22×C8316yes—
735#547C22×C8316yes—
736#547C22×C8316yes—
737#547C22×C8316yes—
738#547C22×C83112yes—
739#544C22×C8313yes—
740#544C22×C8316yes—
741#544C22×C8316yes—
742#544C22×C8316yes—
743#544C22×C8316yes—
744#542C22×C8313yes—
745#542C22×C8313yes—
746#542C22×C8316yes—
747#542C22×C8316yes—
748#542C22×C83112yes—
749#542C22×C8316yes—
750#542C22×C8316yes—
751#542C22×C8316yes—
752#542C22×C83112yes—
753#541C22×C8311yescharacteristic
754#541C22×C8313yes—
755#541C22×C8316yes—
756#540C22×C8316yes—
757#540C22×C8316yes—
758#540C22×C8316yes—
759#540C22×C8316yes—
760#540C22×C8316yes—
761#539C22×C8316yes—
762#539C22×C8316yes—
763#539C22×C83112yes—
764#539C22×C83112yes—
765#537C22×C8313yes—
766#537C22×C8316yes—
767#537C22×C83112yes—
768#536C22×C8313yes—
769#536C22×C8313yes—
770#536C22×C83112yes—
771#533C22×C8313yes—
772#533C22×C8313yes—
773#533C22×C8316yes—
774#533C22×C8313yes—
775#533C22×C8316yes—
776#533C22×C8313yes—
777#532C22×C8313yes—
778#532C22×C8313yes—
779#532C22×C8316yes—
780#532C22×C8313yes—
781#532C22×C8313yes—
782#532C22×C8316yes—
783C2×C4⋊Q8C22×C8313yes—
784#529C22×C8313yes—
785#529C22×C8316yes—
786#529C22×C8313yes—
787#529C22×C8316yes—
788#529C22×C8316yes—
789#529C22×C8313yes—
790#529C22×C8313yes—
791#529C22×C8316yes—
792#529C22×C8316yes—
793C2×#125C22×C8316yes—
794#520C22×C8312yes—
795#520C22×C8312yes—
796#520C22×C8312yes—
797#520C22×C8316yes—
798#519C22×C8312yes—
799C4×#41C22×C8313yes—
800C4×#41C22×C8313yes—
801C4×#41C22×C8311yescharacteristic
802C4×#41C22×C8312yes—
803C4×#41C22×C8311yescharacteristic
804C4×#41C22×C8312yes—
805C2×C4×Q8C22×C8313yes—
806C2×C4×Q8C22×C8311yescharacteristic
807C2×#41C23×C8311yescharacteristic
808C2×#41C23×C8311yescharacteristic
809C2×#41C23×C8312yes—
810C2×#41C23×C8313yes—
811C2×#41C23×C8313yes—
812C2×#41C23×C8316yes—
813C2×#41C23×C8316yes—
814C2×#41C23×C83112yes—
815C2×#41C23×C8316yes—
816C22×Q8C23×C8311yescharacteristic
817C22×Q8C23×C8313yes—
818C22×Q8C23×C8316yes—
819C4⋊Q8C23×C8313yes—
820C4⋊Q8C23×C8313yes—
821C4⋊Q8C23×C8313yes—
822C4⋊Q8C23×C8316yes—
823C4⋊Q8C23×C8316yes—
824C4⋊Q8C23×C8313yes—
825C4⋊Q8C23×C8316yes—
826C4⋊Q8C23×C8316yes—
827C4⋊Q8C23×C8313yes—
828C4⋊Q8C23×C8311yescharacteristic
829C4⋊Q8C23×C8316yes—
830C4⋊Q8C23×C8316yes—
831C4⋊Q8C23×C8313yes—
832C4⋊Q8C23×C8313yes—
833C4⋊Q8C23×C8316yes—
834C4⋊Q8C23×C8316yes—
835C4⋊Q8C23×C83112yes—
836#127C23×C8313yes—
837#127C23×C8316yes—
838#127C23×C8316yes—
839#127C23×C8313yes—
840#126C23×C8312yes—
841#126C23×C8316yes—
842#126C23×C8316yes—
843#126C23×C8312yes—
844#126C23×C8316yes—
845#126C23×C8316yes—
846#126C23×C8316yes—
847#126C23×C8316yes—
848#126C23×C8316yes—
849#126C23×C8316yes—
850#126C23×C83112yes—
851#126C23×C83112yes—
852#125C23×C8313yes—
853#125C23×C8316yes—
854#125C23×C8316yes—
855#125C23×C8316yes—
856#125C23×C8316yes—
857#125C23×C83112yes—
858#125C23×C8312yes—
859#125C23×C8311yescharacteristic
860#125C23×C8316yes—
861#125C23×C8313yes—
862#125C23×C8316yes—
863#125C23×C8313yes—
864#125C23×C8316yes—
865#125C23×C8312yes—
866#125C23×C8316yes—
867#125C23×C8316yes—
868#125C23×C8316yes—
869#125C23×C8316yes—
870#125C23×C8316yes—
871#125C23×C83112yes—
872#124C23×C8313yes—
873#124C23×C8313yes—
874#124C23×C8316yes—
875#124C23×C8313yes—
876#124C23×C8316yes—
877#124C23×C8316yes—
878#124C23×C8316yes—
879#124C23×C8313yes—
880#124C23×C83112yes—
881#124C23×C8316yes—
882#124C23×C8316yes—
883#124C23×C8316yes—
884#124C23×C83112yes—
885#124C23×C83112yes—
886#123C23×C8316yes—
887#123C23×C8316yes—
888#123C23×C8316yes—
889#123C23×C8316yes—
890#123C23×C8316yes—
891#123C23×C8316yes—
892#123C23×C8316yes—
893#123C23×C8316yes—
894#123C23×C8316yes—
895#123C23×C8316yes—
896#123C23×C83112yes—
897#123C23×C83112yes—
898#123C23×C83112yes—
899#123C23×C83112yes—
900#123C23×C83112yes—
901#123C23×C83112yes—
902#123C23×C83112yes—
903#123C23×C83112yes—
904C22⋊Q8C23×C8311yescharacteristic
905C22⋊Q8C23×C8313yes—
906C22⋊Q8C23×C8316yes—
907C22⋊Q8C23×C8316yes—
908C22⋊Q8C23×C8313yes—
909C22⋊Q8C23×C8316yes—
910C22⋊Q8C23×C8316yes—
911C22⋊Q8C23×C8313yes—
912C22⋊Q8C23×C8313yes—
913C22⋊Q8C23×C8311yescharacteristic
914C22⋊Q8C23×C83112yes—
915C22⋊Q8C23×C8313yes—
916C22⋊Q8C23×C8316yes—
917C22⋊Q8C23×C8316yes—
918C22⋊Q8C23×C8313yes—
919C22⋊Q8C23×C8316yes—
920C22⋊Q8C23×C8316yes—
921C22⋊Q8C23×C8316yes—
922C22⋊Q8C23×C8316yes—
923C22⋊Q8C23×C8316yes—
924C22⋊Q8C23×C8316yes—
925C22⋊Q8C23×C83112yes—
926C22⋊Q8C23×C8316yes—
927C22⋊Q8C23×C83112yes—
928C22⋊Q8C23×C83112yes—
929C22⋊Q8C23×C83112yes—
930C22⋊Q8C23×C83112yes—
931C22⋊Q8C23×C83112yes—
932C22⋊Q8C23×C83112yes—
933C22⋊Q8C23×C83112yes—
934#121C23×C8313yes—
935#121C23×C8313yes—
936#121C23×C8316yes—
937#121C23×C8316yes—
938#121C23×C8316yes—
939#121C23×C8316yes—
940#121C23×C8313yes—
941#121C23×C8313yes—
942#121C23×C8316yes—
943#121C23×C8316yes—
944#121C23×C83112yes—
945#121C23×C8316yes—
946#121C23×C8316yes—
947#121C23×C83112yes—
948#121C23×C8316yes—
949#121C23×C8313yes—
950#121C23×C8313yes—
951#121C23×C8316yes—
952#121C23×C8316yes—
953#121C23×C8316yes—
954#121C23×C83112yes—
955#121C23×C83112yes—
956#121C23×C83112yes—
957#121C23×C83112yes—
958#121C23×C83112yes—
959C4×Q8C23×C8311yescharacteristic
960C4×Q8C23×C8311yescharacteristic
961C4×Q8C23×C8313yes—
962C4×Q8C23×C8311yescharacteristic
963C4×Q8C23×C8313yes—
964C4×Q8C23×C8313yes—
965C4×Q8C23×C8313yes—
966C4×Q8C23×C8316yes—
967C4×Q8C23×C8316yes—
968C4×Q8C23×C8313yes—
969C4×Q8C23×C8311yescharacteristic
970C4×Q8C23×C8311yescharacteristic
971C4×Q8C23×C8312yes—
972C4×Q8C23×C8312yes—
973C4×Q8C23×C8311yescharacteristic
974C4×Q8C23×C8312yes—
975C4×Q8C23×C8313yes—
976C4×Q8C23×C8313yes—
977C4×Q8C23×C8313yes—
978C4×Q8C23×C8316yes—
979C4×Q8C23×C8316yes—
980C4×Q8C23×C8316yes—
981C4×Q8C23×C8316yes—
982C4×Q8C23×C8316yes—
983C4×Q8C23×C8316yes—
984C4×Q8C23×C8316yes—
985C4×D4C23×C8313yes—
986C4×D4C23×C8313yes—
987C4×D4C23×C8313yes—
988C4×D4C23×C8313yes—
989C4×D4C23×C8316yes—
990C4×D4C23×C8313yes—
991C4×D4C23×C8313yes—
992C4×D4C23×C8313yes—
993C4×D4C23×C8316yes—
994C4×D4C23×C8313yes—
995C4×D4C23×C8316yes—
996C4×D4C23×C8313yes—
997C4×D4C23×C8313yes—
998C4×D4C23×C8313yes—
999C4×D4C23×C8316yes—
1000C4×D4C23×C8316yes—
1001C4×D4C23×C8316yes—
1002C4×D4C23×C8313yes—
1003C4×D4C23×C83112yes—
1004C4×D4C23×C8316yes—
1005C4×D4C23×C8316yes—
1006C4×D4C23×C8316yes—
1007C4×D4C23×C8316yes—
1008C4×D4C23×C8316yes—
1009C4×D4C23×C8316yes—
1010C4×D4C23×C83112yes—
1011C4×D4C23×C8316yes—
1012C4×D4C23×C8316yes—
1013C4×D4C23×C8316yes—
1014C4×D4C23×C8316yes—
1015C4×D4C23×C83112yes—
1016C4×D4C23×C8316yes—
1017#117C23×C8311yescharacteristic
1018#117C23×C8313yes—
1019#117C23×C8313yes—
1020#117C23×C8316yes—
1021#117C23×C8313yes—
1022#117C23×C8313yes—
1023#117C23×C8316yes—
1024#117C23×C8316yes—
1025#117C23×C8313yes—
1026#117C23×C8316yes—
1027#117C23×C8316yes—
1028#117C23×C8316yes—
1029#117C23×C8316yes—
1030#117C23×C8316yes—
1031#117C23×C83112yes—
1032#117C23×C83112yes—
1033C2×C4⋊C4C23×C8313yes—
1034C2×C4⋊C4C23×C8316yes—
1035C2×C4⋊C4C23×C8313yes—
1036C2×C4⋊C4C23×C83112yes—
1037C2×C4⋊C4C23×C8316yes—
1038C2×C4⋊C4C23×C8316yes—
1039C2×C4⋊C4C23×C8316yes—
1040C2×C4⋊C4C23×C8316yes—
1041C2×C4⋊C4C23×C83112yes—
1042C2×C42C23×C8313yes—
1043C2×C42C23×C8316yes—
1044C2×C42C23×C8313yes—
1045C2×C42C23×C8316yes—
1046C2×C42C23×C8313yes—
1047#41—24no—
1048#41—24no—
1049#41—28no—
1050#41—46no—
1051#41—46no—
1052#41—412no—
1053#41—812no—
1054#41—86no—
1055#41—86no—
1056C2×Q8—24no—
1057C2×Q8—46no—
1058C2×Q8—86no—
1059C2×Q8C24×C8313yes—
1060C2×Q8C24×C8311yescharacteristic
1061C2×Q8C24×C8313yes—
1062C2×Q8C24×C8311yescharacteristic
1063C2×Q8C24×C8316yes—
1064C2×Q8C24×C8313yes—
1065C2×Q8C24×C8316yes—
1066C2×Q8C24×C8316yes—
1067C2×Q8C24×C8316yes—
1068C2×Q8C24×C8316yes—
1069C2×Q8C24×C8311yescharacteristic
1070C2×D4C24×C8313yes—
1071C2×D4C24×C8313yes—
1072C2×D4C24×C8316yes—
1073C2×D4C24×C8313yes—
1074C2×D4C24×C8313yes—
1075C2×D4C24×C8313yes—
1076C2×D4C24×C83112yes—
1077C2×D4C24×C8316yes—
1078C2×D4C24×C8313yes—
1079C2×D4C24×C8316yes—
1080C2×D4C24×C8316yes—
1081C2×D4C24×C83112yes—
1082C2×D4C24×C8316yes—
1083C2×D4C24×C8316yes—
1084C22×C4C24×C8313yes—
1085C22×C4C24×C8311yescharacteristic
1086C22×C4C24×C8316yes—
1087C22×C4C24×C8313yes—
1088C22×C4C24×C8313yes—
1089C22×C4C24×C8313yes—
1090C22×C4C24×C8313yes—
1091C22×C4C24×C8316yes—
1092C22×C4C24×C8313yes—
1093C22×C4C24×C8316yes—
1094C22×C4C24×C8313yes—
1095C22×C4C24×C8316yes—
1096C22×C4C24×C8316yes—
1097C22×C4C24×C8313yes—
1098C22×C4C24×C83112yes—
1099C22×C4C24×C83112yes—
1100C22×C4C24×C83112yes—
1101C4⋊C4C24×C8313yes—
1102C4⋊C4C24×C8313yes—
1103C4⋊C4C24×C8313yes—
1104C4⋊C4C24×C8316yes—
1105C4⋊C4C24×C8311yescharacteristic
1106C4⋊C4C24×C8312yes—
1107C4⋊C4C24×C8313yes—
1108C4⋊C4C24×C8316yes—
1109C4⋊C4C24×C8313yes—
1110C4⋊C4C24×C83112yes—
1111C4⋊C4C24×C8316yes—
1112C4⋊C4C24×C8316yes—
1113C4⋊C4C24×C8316yes—
1114C4⋊C4C24×C8316yes—
1115C4⋊C4C24×C8316yes—
1116C4⋊C4C24×C8316yes—
1117C4⋊C4C24×C8316yes—
1118C4⋊C4C24×C8313yes—
1119C4⋊C4C24×C8316yes—
1120C4⋊C4C24×C83112yes—
1121C4⋊C4C24×C83112yes—
1122C4⋊C4C24×C8316yes—
1123C4⋊C4C24×C8316yes—
1124C4⋊C4C24×C8316yes—
1125C4⋊C4C24×C8316yes—
1126C4⋊C4C24×C8313yes—
1127C4⋊C4C24×C8313yes—
1128C4⋊C4C24×C8311yescharacteristic
1129C4⋊C4C24×C8312yes—
1130C4⋊C4C24×C8312yes—
1131C4⋊C4C24×C8312yes—
1132C4⋊C4C24×C8312yes—
1133C4⋊C4C24×C8316yes—
1134C4⋊C4C24×C8311yescharacteristic
1135C4⋊C4C24×C8311yescharacteristic
1136C4⋊C4C24×C8316yes—
1137C4⋊C4C24×C8313yes—
1138C4⋊C4C24×C8313yes—
1139C4⋊C4C24×C8316yes—
1140C4⋊C4C24×C8316yes—
1141C4⋊C4C24×C8312yes—
1142C4⋊C4C24×C8316yes—
1143C4⋊C4C24×C8316yes—
1144C4⋊C4C24×C8312yes—
1145C4⋊C4C24×C8316yes—
1146C4⋊C4C24×C8312yes—
1147C22⋊C4C24×C8316yes—
1148C22⋊C4C24×C8312yes—
1149C22⋊C4C24×C8316yes—
1150C22⋊C4C24×C8316yes—
1151C22⋊C4C24×C8316yes—
1152C22⋊C4C24×C8313yes—
1153C22⋊C4C24×C8311yescharacteristic
1154C22⋊C4C24×C8313yes—
1155C22⋊C4C24×C8311yescharacteristic
1156C22⋊C4C24×C8316yes—
1157C22⋊C4C24×C8316yes—
1158C22⋊C4C24×C8316yes—
1159C22⋊C4C24×C83112yes—
1160C22⋊C4C24×C8316yes—
1161C22⋊C4C24×C8316yes—
1162C22⋊C4C24×C83112yes—
1163C22⋊C4C24×C8316yes—
1164C22⋊C4C24×C8316yes—
1165C22⋊C4C24×C8316yes—
1166C22⋊C4C24×C8313yes—
1167C22⋊C4C24×C8316yes—
1168C22⋊C4C24×C8316yes—
1169C22⋊C4C24×C83112yes—
1170C22⋊C4C24×C8313yes—
1171C22⋊C4C24×C8316yes—
1172C22⋊C4C24×C8316yes—
1173C22⋊C4C24×C8312yes—
1174C22⋊C4C24×C8316yes—
1175C42C24×C8311yescharacteristic
1176C42C24×C8311yescharacteristic
1177C42C24×C8313yes—
1178C42C24×C8313yes—
1179C42C24×C8312yes—
1180C42C24×C8312yes—
1181C42C24×C8316yes—
1182C42C24×C8316yes—
1183C42C24×C8313yes—
1184C42C24×C8313yes—
1185C42C24×C8316yes—
1186C42C24×C8313yes—
1187C42C24×C8313yes—
1188C42C24×C8316yes—
1189C42C24×C8316yes—
1190C42C24×C8313yes—
1191C42C24×C8313yes—
1192C42C24×C83112yes—
1193C23C25×C8311yescharacteristic
1194C23C25×C8313yes—
1195C23C25×C8313yes—
1196C23C25×C8316yes—
1197Q8—26no—
1198Q8—22no—
1199Q8—26no—
1200Q8—22no—
1201Q8—46no—
1202Q8—46no—
1203Q8—46no—
1204Q8—46no—
1205Q8—43no—
1206Q8—46no—
1207Q82−1+4×C8314yes—
1208D4—26no—
1209D4—26no—
1210D4—212no—
1211D4—26no—
1212D4—43no—
1213D4—43no—
1214D4—43no—
1215D4—46no—
1216D4—412no—
1217D4—46no—
1218D4—46no—
1219D4—46no—
1220D4—46no—
1221D4—412no—
1222C2×C4—26no—
1223C2×C4—26no—
1224C2×C4—212no—
1225C2×C4—26no—
1226C2×C4—26no—
1227C2×C4—26no—
1228C2×C4—22no—
1229C2×C4—46no—
1230C2×C4—43no—
1231C2×C4—412no—
1232C2×C4—412no—
1233C2×C4—46no—
1234C2×C4—43no—
1235C2×C4—46no—
1236C2×C4—412no—
1237C2×C4—43no—
1238C2×C4—46no—
1239C2×C4C25×C8311yescharacteristic
1240C2×C4C25×C8313yes—
1241C2×C4C25×C8311yescharacteristic
1242C2×C4C25×C8311yescharacteristic
1243C2×C4C25×C8311yescharacteristic
1244C2×C4C25×C8312yes—
1245C2×C4C25×C8312yes—
1246C2×C4C25×C8311yescharacteristic
1247C2×C4C25×C8313yes—
1248C2×C4C25×C8316yes—
1249C2×C4C25×C8313yes—
1250C2×C4C25×C8316yes—
1251C2×C4C25×C8312yes—
1252C2×C4C25×C8312yes—
1253C2×C4C25×C8313yes—
1254C2×C4C25×C8316yes—
1255C2×C4C25×C8313yes—
1256C2×C4C25×C8313yes—
1257C2×C4C25×C8311yescharacteristic
1258C22—21no—
1259C22—23no—
1260C22—23no—
1261C22—26no—
1262C22—23no—
1263C22—21no—
1264C22—23no—
1265C22—26no—
1266C22—23no—
1267C22—21no—
1268C22—23no—
1269C22—26no—
1270C22C26×C8311yescharacteristic
1271C4—21no—
1272C4—21no—
1273C4—22no—
1274C4—23no—
1275C4—23no—
1276C4—23no—
1277C4—21no—
1278C4—22no—
1279C4—26no—
1280C4—22no—
1281C4—21no—
1282C4—23no—
1283C4—26no—
1284C4—22no—
1285C4—23no—
1286C4—26no—
1287C4—21no—
1288C4C2×2−1+4×C8316yes—
1289C4#585×C8312yes—
1290C2—41no—
1291C2—43no—
1292C2—43no—
1293C2—46no—
1294C2C22×2−1+4×C8311yescharacteristic
1295C2C2×#585×C8311yescharacteristic
1296C2C83×H(7,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22×C83C26
commutator, Frattini, cosocleC22C26×C83
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C83 ◁ G

Complements

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

NH ≅ G/Ntype
1. C83×#3565C2semidirect
2. C83×#3559C2semidirect
3. C83×#3554C2semidirect
4. C83×#3554C2semidirect
5. C83×#3548C2semidirect
6. C83×#3547C2semidirect
7. C83×#3547C2semidirect
8. C83×#3544C2semidirect
9. C83×#3524C2semidirect
10. C83×#3524C2semidirect
11. C83×#3522C2semidirect
12. C83×#3522C2semidirect
13. C83×#3517C2semidirect
14. C83×#3517C2semidirect
15. C83×#3515C2semidirect
16. C83×#3511C2semidirect
17. C83×#3504C2semidirect
18. C83×#3503C2semidirect
19. C83×#3502C2semidirect
20. C83×#3483C2semidirect
21. C83×#3480C2semidirect
22. Q8×#41×C83C2semidirect
23. C83×#3461C2semidirect
641. #62952C83direct (N × H)
649. #3565C2×C83semidirect
650. #3559C2×C83semidirect
651. #3554C2×C83semidirect
652. #3554C2×C83semidirect
653. #3548C2×C83semidirect
654. #3547C2×C83semidirect
655. #3547C2×C83semidirect
656. #3544C2×C83semidirect
657. #3524C2×C83semidirect
658. #3524C2×C83semidirect
659. #3522C2×C83semidirect
660. #3522C2×C83semidirect
661. #3517C2×C83semidirect
662. #3517C2×C83semidirect
663. #3515C2×C83semidirect
664. #3511C2×C83semidirect
665. #3504C2×C83semidirect
666. #3503C2×C83semidirect
667. #3502C2×C83semidirect
668. #3483C2×C83semidirect
669. #3480C2×C83semidirect
670. Q8×#41C2×C83semidirect
671. #3461C2×C83semidirect
672. C83#62952direct (N × H)

Maximal subgroups

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

subgroupindex
C83×#35652
C83×#35592
C83×#35542
C83×#35482
C83×#35472
C83×#35442
C83×#35242
C83×#35222
C83×#35172
C83×#35152
C83×#35112
C83×#35042
C83×#35032
C83×#35022
C83×#34832
C83×#34802
Q8×#41×C832
C83×#34612
#6295283