Finite Group Databasebeta

← C83×#62953 #35290777

Subgroups — C83×#62953 #35290777

Order 21248.

6344 conjugacy classes of subgroups.

The subgroup lattice has 1280 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#3565C216yesmaximal, complemented
2C83×#3565C216yesmaximal, complemented
3C83×#3557C216yesmaximal, complemented
4C83×#3555C213yesmaximal, complemented
5C83×#3555C216yesmaximal, complemented
6C83×#3552C213yesmaximal, complemented
7C83×#3550C213yesmaximal, complemented
8C83×#3547C213yesmaximal, complemented
9C83×#3524C212yesmaximal, complemented
10C83×#3523C213yesmaximal, complemented
11C83×#3523C211yesmaximal, characteristic, complemented
12C83×#3518C213yesmaximal, complemented
13C83×#3518C212yesmaximal, complemented
14C83×#3518C211yesmaximal, characteristic, complemented
15C83×#3516C212yesmaximal, complemented
16C83×#3509C213yesmaximal, complemented
17C83×#3503C211yesmaximal, characteristic, complemented
18C83×#3502C211yesmaximal, characteristic, complemented
19C83×#3502C212yesmaximal, complemented
20C83×#3482C211yesmaximal, characteristic, complemented
21C83×#3480C211yesmaximal, characteristic, complemented
22Q8×#41×C83C211yesmaximal, characteristic, complemented
23C83×#3461C213yesmaximal, complemented
24#563×C83C22112yes—
25#563×C83C22112yes—
26#563×C83C22112yes—
27#562×C83C22112yes—
28#559×C83C2216yes—
29#559×C83C2213yes—
30Q82×C83C2216yes—
31Q82×C83C2213yes—
32Q82×C83C2211yescharacteristic
33Q82×C83C2212yes—
34#557×C83C2213yes—
35#557×C83C2216yes—
36#557×C83C2216yes—
37#557×C83C2216yes—
38#557×C83C2213yes—
39#557×C83C2216yes—
40#557×C83C2216yes—
41#557×C83C2212yes—
42#557×C83C2211yescharacteristic
43#557×C83C2211yescharacteristic
44#557×C83C2211yescharacteristic
45#557×C83C2212yes—
46#556×C83C2213yes—
47#556×C83C2216yes—
48#556×C83C2213yes—
49#556×C83C2213yes—
50#556×C83C2213yes—
51#556×C83C2216yes—
52#556×C83C22112yes—
53#556×C83C2216yes—
54#556×C83C2216yes—
55#556×C83C2216yes—
56#556×C83C2216yes—
57#556×C83C2216yes—
58#555×C83C2216yes—
59#555×C83C2213yes—
60#555×C83C2216yes—
61#554×C83C2213yes—
62#554×C83C2216yes—
63#554×C83C2216yes—
64#554×C83C2216yes—
65#553×C83C2216yes—
66#553×C83C2216yes—
67#553×C83C2213yes—
68#553×C83C2213yes—
69#552×C83C2216yes—
70#552×C83C2216yes—
71#552×C83C2216yes—
72#552×C83C2216yes—
73#552×C83C22112yes—
74#552×C83C2216yes—
75#552×C83C2216yes—
76#552×C83C2216yes—
77#550×C83C2211yescharacteristic
78D4×Q8×C83C2213yes—
79D4×Q8×C83C2213yes—
80D4×Q8×C83C2216yes—
81D4×Q8×C83C2213yes—
82D4×Q8×C83C2211yescharacteristic
83D4×Q8×C83C2212yes—
84#548×C83C2216yes—
85#548×C83C2211yescharacteristic
86#548×C83C2211yescharacteristic
87#548×C83C2212yes—
88#548×C83C2212yes—
89#547×C83C2213yes—
90#544×C83C2216yes—
91#544×C83C2216yes—
92#544×C83C2213yes—
93#544×C83C2216yes—
94#544×C83C2216yes—
95#542×C83C22112yes—
96#542×C83C22112yes—
97#542×C83C2216yes—
98#542×C83C2216yes—
99#542×C83C2216yes—
100#542×C83C2216yes—
101#542×C83C2216yes—
102#542×C83C22112yes—
103#542×C83C2216yes—
104#542×C83C2211yescharacteristic
105#542×C83C2213yes—
106#541×C83C2216yes—
107#541×C83C22112yes—
108#541×C83C2216yes—
109#541×C83C2216yes—
110#541×C83C2216yes—
111#541×C83C22112yes—
112#541×C83C2213yes—
113#541×C83C2213yes—
114#540×C83C2216yes—
115#539×C83C22112yes—
116#539×C83C2216yes—
117#539×C83C2216yes—
118#537×C83C2213yes—
119#536×C83C2216yes—
120#536×C83C2213yes—
121#536×C83C2213yes—
122#533×C83C2213yes—
123#533×C83C2213yes—
124#533×C83C2213yes—
125#533×C83C2216yes—
126#533×C83C2213yes—
127#533×C83C2213yes—
128#533×C83C2216yes—
129#533×C83C2216yes—
130#533×C83C2216yes—
131#533×C83C2213yes—
132#533×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×C83C2216yes—
144#529×C83C2213yes—
145#520×C83C2212yes—
146#519×C83C2212yes—
147#519×C83C2212yes—
148#519×C83C2212yes—
149#519×C83C2216yes—
150C4×#41×C83C2213yes—
151C4×#41×C83C2213yes—
152C4×#41×C83C2211yescharacteristic
153C4×#41×C83C2212yes—
154C4×#41×C83C2211yescharacteristic
155C2×C4×Q8×C83C2213yes—
156C2×C4×Q8×C83C2211yescharacteristic
157C2×C4×Q8×C83C2212yes—
158C2×#41×C83C2311yescharacteristic
159C2×#41×C83C2311yescharacteristic
160C2×#41×C83C2313yes—
161C2×#41×C83C2313yes—
162C22×Q8×C83C2311yescharacteristic
163C22×Q8×C83C2312yes—
164C22×Q8×C83C2313yes—
165C22×Q8×C83C2316yes—
166C4⋊Q8×C83C2313yes—
167C4⋊Q8×C83C2313yes—
168C4⋊Q8×C83C2313yes—
169C4⋊Q8×C83C2316yes—
170C4⋊Q8×C83C2316yes—
171C4⋊Q8×C83C2313yes—
172C4⋊Q8×C83C2311yescharacteristic
173C4⋊Q8×C83C2313yes—
174C4⋊Q8×C83C2313yes—
175C4⋊Q8×C83C2313yes—
176C4⋊Q8×C83C2316yes—
177C4⋊Q8×C83C2316yes—
178C4⋊Q8×C83C2316yes—
179C4⋊Q8×C83C2316yes—
180C4⋊Q8×C83C2316yes—
181C4⋊Q8×C83C2316yes—
182C4⋊Q8×C83C2313yes—
183C4⋊Q8×C83C2316yes—
184C4⋊Q8×C83C2316yes—
185C4⋊Q8×C83C23112yes—
186C4⋊Q8×C83C23112yes—
187C4⋊Q8×C83C23112yes—
188#127×C83C2313yes—
189#126×C83C2316yes—
190#126×C83C2312yes—
191#126×C83C2316yes—
192#126×C83C2316yes—
193#126×C83C2316yes—
194#126×C83C2316yes—
195#126×C83C2316yes—
196#126×C83C2316yes—
197#126×C83C2316yes—
198#126×C83C23112yes—
199#126×C83C2316yes—
200#126×C83C23112yes—
201#126×C83C23112yes—
202#126×C83C23112yes—
203#126×C83C23112yes—
204#126×C83C23112yes—
205#126×C83C23112yes—
206#126×C83C23112yes—
207#125×C83C2316yes—
208#125×C83C2313yes—
209#125×C83C2316yes—
210#125×C83C2313yes—
211#125×C83C2316yes—
212#125×C83C2316yes—
213#125×C83C2313yes—
214#125×C83C2316yes—
215#125×C83C2313yes—
216#125×C83C2316yes—
217#125×C83C2316yes—
218#125×C83C2316yes—
219#125×C83C2316yes—
220#125×C83C2316yes—
221#125×C83C2316yes—
222#125×C83C2316yes—
223#125×C83C2316yes—
224#125×C83C2316yes—
225#125×C83C2316yes—
226#125×C83C23112yes—
227#125×C83C23112yes—
228#125×C83C23112yes—
229#125×C83C23112yes—
230#125×C83C23112yes—
231#124×C83C2311yescharacteristic
232#124×C83C2312yes—
233#124×C83C2313yes—
234#124×C83C2316yes—
235#124×C83C2313yes—
236#124×C83C2316yes—
237#124×C83C2316yes—
238#124×C83C2313yes—
239#124×C83C2316yes—
240#124×C83C2316yes—
241#124×C83C23112yes—
242#124×C83C23112yes—
243#124×C83C23112yes—
244#124×C83C23112yes—
245#123×C83C2312yes—
246#123×C83C2316yes—
247#123×C83C2316yes—
248#123×C83C2316yes—
249#123×C83C2316yes—
250#123×C83C2316yes—
251#123×C83C2316yes—
252#123×C83C2316yes—
253#123×C83C23112yes—
254#123×C83C2316yes—
255#123×C83C23112yes—
256#123×C83C2316yes—
257#123×C83C23112yes—
258#123×C83C23112yes—
259C22⋊Q8×C83C2313yes—
260C22⋊Q8×C83C2316yes—
261C22⋊Q8×C83C2313yes—
262C22⋊Q8×C83C2313yes—
263C22⋊Q8×C83C2316yes—
264C22⋊Q8×C83C2316yes—
265C22⋊Q8×C83C2316yes—
266C22⋊Q8×C83C2313yes—
267C22⋊Q8×C83C2316yes—
268C22⋊Q8×C83C2316yes—
269C22⋊Q8×C83C2311yescharacteristic
270C22⋊Q8×C83C2313yes—
271C22⋊Q8×C83C2312yes—
272C22⋊Q8×C83C2316yes—
273C22⋊Q8×C83C2316yes—
274C22⋊Q8×C83C2316yes—
275C22⋊Q8×C83C2316yes—
276C22⋊Q8×C83C2313yes—
277C22⋊Q8×C83C2316yes—
278C22⋊Q8×C83C2313yes—
279C22⋊Q8×C83C2316yes—
280C22⋊Q8×C83C23112yes—
281C22⋊Q8×C83C2316yes—
282C22⋊Q8×C83C2316yes—
283C22⋊Q8×C83C23112yes—
284C22⋊Q8×C83C2316yes—
285C22⋊Q8×C83C23112yes—
286C22⋊Q8×C83C2316yes—
287C22⋊Q8×C83C2316yes—
288C22⋊Q8×C83C23112yes—
289C22⋊Q8×C83C2316yes—
290C22⋊Q8×C83C23112yes—
291C22⋊Q8×C83C23112yes—
292C22⋊Q8×C83C23112yes—
293#121×C83C2311yescharacteristic
294#121×C83C2313yes—
295#121×C83C2316yes—
296#121×C83C2316yes—
297#121×C83C2313yes—
298#121×C83C2316yes—
299#121×C83C2316yes—
300#121×C83C2316yes—
301#121×C83C2313yes—
302#121×C83C2313yes—
303#121×C83C2313yes—
304#121×C83C2316yes—
305#121×C83C23112yes—
306C4×Q8×C83C2311yescharacteristic
307C4×Q8×C83C2311yescharacteristic
308C4×Q8×C83C2311yescharacteristic
309C4×Q8×C83C2313yes—
310C4×Q8×C83C2311yescharacteristic
311C4×Q8×C83C2312yes—
312C4×Q8×C83C2313yes—
313C4×Q8×C83C2313yes—
314C4×Q8×C83C2313yes—
315C4×Q8×C83C2316yes—
316C4×Q8×C83C2316yes—
317C4×Q8×C83C2316yes—
318C4×Q8×C83C2313yes—
319C4×Q8×C83C2316yes—
320C4×Q8×C83C2313yes—
321C4×Q8×C83C2312yes—
322C4×Q8×C83C2311yescharacteristic
323C4×Q8×C83C2312yes—
324C4×Q8×C83C2313yes—
325C4×Q8×C83C2313yes—
326C4×Q8×C83C2313yes—
327C4×Q8×C83C2316yes—
328C4×Q8×C83C2316yes—
329C4×Q8×C83C2316yes—
330C4×Q8×C83C2316yes—
331C4×Q8×C83C2316yes—
332C4×Q8×C83C23112yes—
333C4×Q8×C83C23112yes—
334C4×Q8×C83C2316yes—
335C4×Q8×C83C2316yes—
336C4×Q8×C83C2316yes—
337C4×Q8×C83C2316yes—
338C4×Q8×C83C2316yes—
339C4×Q8×C83C2316yes—
340C4×Q8×C83C2316yes—
341C4×Q8×C83C23112yes—
342C4×Q8×C83C2316yes—
343C4×D4×C83C2311yescharacteristic
344C4×D4×C83C2316yes—
345C4×D4×C83C2313yes—
346C4×D4×C83C2313yes—
347C4×D4×C83C2316yes—
348C4×D4×C83C2313yes—
349C4×D4×C83C2313yes—
350C4×D4×C83C2313yes—
351C4×D4×C83C2313yes—
352C4×D4×C83C2313yes—
353C4×D4×C83C2313yes—
354C4×D4×C83C2313yes—
355C4×D4×C83C2316yes—
356C4×D4×C83C2316yes—
357C4×D4×C83C2313yes—
358C4×D4×C83C2313yes—
359C4×D4×C83C2316yes—
360C4×D4×C83C2316yes—
361C4×D4×C83C2316yes—
362C4×D4×C83C2316yes—
363C4×D4×C83C2316yes—
364C4×D4×C83C23112yes—
365C4×D4×C83C23112yes—
366#117×C83C2311yescharacteristic
367#117×C83C2313yes—
368#117×C83C2313yes—
369#117×C83C2313yes—
370#117×C83C2316yes—
371#117×C83C2313yes—
372#117×C83C2316yes—
373#117×C83C2313yes—
374#117×C83C2316yes—
375#117×C83C2316yes—
376#117×C83C2316yes—
377#117×C83C23112yes—
378#117×C83C23112yes—
379#117×C83C2316yes—
380#117×C83C2316yes—
381#117×C83C2316yes—
382#117×C83C2316yes—
383#117×C83C2316yes—
384#117×C83C2316yes—
385#117×C83C23112yes—
386#117×C83C2316yes—
387C2×C4⋊C4×C83C2313yes—
388C2×C4⋊C4×C83C2316yes—
389C2×C4⋊C4×C83C2316yes—
390C2×C4⋊C4×C83C2313yes—
391C2×C4⋊C4×C83C2316yes—
392C2×C4⋊C4×C83C2316yes—
393C2×C42×C83C2313yes—
394C2×C42×C83C2316yes—
395C2×C42×C83C2316yes—
396C2×C42×C83C2313yes—
397C2×C42×C83C2313yes—
398#41×C83—24no—
399#41×C83—24no—
400#41×C83—46no—
401#41×C83—46no—
402C2×Q8×C83—24no—
403C2×Q8×C83—28no—
404C2×Q8×C83—412no—
405C2×Q8×C83—46no—
406C2×Q8×C83C2413yes—
407C2×Q8×C83C2416yes—
408C2×Q8×C83C2411yescharacteristic
409C2×Q8×C83C2413yes—
410C2×Q8×C83C2413yes—
411C2×Q8×C83C2412yes—
412C2×Q8×C83C2416yes—
413C2×Q8×C83C2416yes—
414C2×Q8×C83C2416yes—
415C2×Q8×C83C24112yes—
416C2×Q8×C83C2413yes—
417C2×Q8×C83C2411yescharacteristic
418C2×D4×C83C2413yes—
419C2×D4×C83C2413yes—
420C2×D4×C83C2411yescharacteristic
421C2×D4×C83C2412yes—
422C2×D4×C83C2416yes—
423C2×D4×C83C2416yes—
424C2×D4×C83C2416yes—
425C2×D4×C83C2413yes—
426C2×D4×C83C2413yes—
427C2×D4×C83C2413yes—
428C22×C4×C83C2413yes—
429C22×C4×C83C2411yescharacteristic
430C22×C4×C83C2413yes—
431C22×C4×C83C2416yes—
432C22×C4×C83C2413yes—
433C22×C4×C83C2413yes—
434C22×C4×C83C2413yes—
435C22×C4×C83C2412yes—
436C22×C4×C83C2413yes—
437C22×C4×C83C2416yes—
438C22×C4×C83C2413yes—
439C22×C4×C83C2416yes—
440C22×C4×C83C2413yes—
441C22×C4×C83C2416yes—
442C22×C4×C83C24112yes—
443C4⋊C4×C83C2411yescharacteristic
444C4⋊C4×C83C2412yes—
445C4⋊C4×C83C2413yes—
446C4⋊C4×C83C2416yes—
447C4⋊C4×C83C2416yes—
448C4⋊C4×C83C2416yes—
449C4⋊C4×C83C2413yes—
450C4⋊C4×C83C2416yes—
451C4⋊C4×C83C2413yes—
452C4⋊C4×C83C2413yes—
453C4⋊C4×C83C2416yes—
454C4⋊C4×C83C2416yes—
455C4⋊C4×C83C2416yes—
456C4⋊C4×C83C2416yes—
457C4⋊C4×C83C2416yes—
458C4⋊C4×C83C2416yes—
459C4⋊C4×C83C24112yes—
460C4⋊C4×C83C2416yes—
461C4⋊C4×C83C2416yes—
462C4⋊C4×C83C2413yes—
463C4⋊C4×C83C2413yes—
464C4⋊C4×C83C2411yescharacteristic
465C4⋊C4×C83C2416yes—
466C4⋊C4×C83C2412yes—
467C4⋊C4×C83C2416yes—
468C4⋊C4×C83C2416yes—
469C4⋊C4×C83C2416yes—
470C4⋊C4×C83C2411yescharacteristic
471C4⋊C4×C83C2411yescharacteristic
472C4⋊C4×C83C2413yes—
473C4⋊C4×C83C2413yes—
474C4⋊C4×C83C2413yes—
475C4⋊C4×C83C2416yes—
476C4⋊C4×C83C2413yes—
477C4⋊C4×C83C24112yes—
478C4⋊C4×C83C2416yes—
479C4⋊C4×C83C24112yes—
480C4⋊C4×C83C2416yes—
481C4⋊C4×C83C2416yes—
482C4⋊C4×C83C2416yes—
483C4⋊C4×C83C2416yes—
484C4⋊C4×C83C2416yes—
485C4⋊C4×C83C2416yes—
486C4⋊C4×C83C2416yes—
487C4⋊C4×C83C24112yes—
488C4⋊C4×C83C2416yes—
489C4⋊C4×C83C2416yes—
490C4⋊C4×C83C2416yes—
491C4⋊C4×C83C2412yes—
492C22⋊C4×C83C2413yes—
493C22⋊C4×C83C2413yes—
494C22⋊C4×C83C2412yes—
495C22⋊C4×C83C2412yes—
496C22⋊C4×C83C2416yes—
497C22⋊C4×C83C2416yes—
498C22⋊C4×C83C2416yes—
499C22⋊C4×C83C24112yes—
500C22⋊C4×C83C2412yes—
501C22⋊C4×C83C2412yes—
502C22⋊C4×C83C24112yes—
503C22⋊C4×C83C2416yes—
504C22⋊C4×C83C2416yes—
505C22⋊C4×C83C2411yescharacteristic
506C22⋊C4×C83C2411yescharacteristic
507C22⋊C4×C83C2416yes—
508C22⋊C4×C83C2413yes—
509C22⋊C4×C83C2416yes—
510C22⋊C4×C83C24112yes—
511C22⋊C4×C83C2416yes—
512C22⋊C4×C83C2416yes—
513C22⋊C4×C83C2413yes—
514C22⋊C4×C83C2416yes—
515C22⋊C4×C83C2416yes—
516C22⋊C4×C83C2416yes—
517C22⋊C4×C83C2412yes—
518C22⋊C4×C83C2416yes—
519C22⋊C4×C83C2416yes—
520C42×C83C2411yescharacteristic
521C42×C83C2411yescharacteristic
522C42×C83C2413yes—
523C42×C83C2413yes—
524C42×C83C2412yes—
525C42×C83C2413yes—
526C42×C83C2416yes—
527C42×C83C2416yes—
528C42×C83C2416yes—
529C42×C83C2413yes—
530C42×C83C2416yes—
531C42×C83C2416yes—
532C42×C83C2413yes—
533C42×C83C2413yes—
534C42×C83C2413yes—
535C42×C83C2416yes—
536C42×C83C2413yes—
537C42×C83C24112yes—
538C42×C83C24112yes—
539C42×C83C24112yes—
540C23×C83C2511yescharacteristic
541C23×C83C2512yes—
542C23×C83C2513yes—
543C23×C83C2513yes—
544Q8×C83—26no—
545Q8×C83—212no—
546Q8×C83—26no—
547Q8×C83—22no—
548Q8×C83—26no—
549Q8×C83—46no—
550Q8×C83—412no—
551Q8×C83—42no—
552Q8×C83—46no—
553Q8×C83—46no—
554Q8×C83—43no—
555Q8×C832−1+414yes—
556D4×C83—26no—
557D4×C83—26no—
558D4×C83—22no—
559D4×C83—42no—
560D4×C83—46no—
561D4×C83—46no—
562D4×C83—43no—
563D4×C83—43no—
564D4×C83—43no—
565D4×C83—46no—
566C2×C4×C83—212no—
567C2×C4×C83—26no—
568C2×C4×C83—26no—
569C2×C4×C83—26no—
570C2×C4×C83—26no—
571C2×C4×C83—26no—
572C2×C4×C83—22no—
573C2×C4×C83—43no—
574C2×C4×C83—42no—
575C2×C4×C83—46no—
576C2×C4×C83—43no—
577C2×C4×C83—43no—
578C2×C4×C83—412no—
579C2×C4×C83—46no—
580C2×C4×C83—46no—
581C2×C4×C83C2511yescharacteristic
582C2×C4×C83C2511yescharacteristic
583C2×C4×C83C2516yes—
584C2×C4×C83C2513yes—
585C2×C4×C83C2512yes—
586C2×C4×C83C2516yes—
587C2×C4×C83C2513yes—
588C2×C4×C83C2513yes—
589C2×C4×C83C2511yescharacteristic
590C2×C4×C83C2511yescharacteristic
591C2×C4×C83C2511yescharacteristic
592C2×C4×C83C2513yes—
593C2×C4×C83C2512yes—
594C2×C4×C83C2516yes—
595C2×C4×C83C2512yes—
596C2×C4×C83C2513yes—
597C2×C4×C83C2516yes—
598C2×C4×C83C2513yes—
599C2×C4×C83C2511yescharacteristic
600C22×C83—21no—
601C22×C83—22no—
602C22×C83—23no—
603C22×C83—23no—
604C22×C83—23no—
605C22×C83—23no—
606C22×C83—21no—
607C22×C83—22no—
608C22×C83—21no—
609C22×C83—23no—
610C22×C83—22no—
611C22×C83—23no—
612C22×C83C2611yescharacteristic
613C4×C83—21no—
614C4×C83—21no—
615C4×C83—26no—
616C4×C83—23no—
617C4×C83—23no—
618C4×C83—21no—
619C4×C83—23no—
620C4×C83—26no—
621C4×C83—26no—
622C4×C83—22no—
623C4×C83—21no—
624C4×C83—22no—
625C4×C83—23no—
626C4×C83—21no—
627C4×C83—23no—
628C4×C83—26no—
629C4×C83—22no—
630C4×C83C2×2−1+416yes—
631C4×C83#58512yes—
632#62953C8311yesmaximal, characteristic, direct product factor, Sylow
633C2×C83—41no—
634C2×C83—42no—
635C2×C83—43no—
636C2×C83—43no—
637C2×C83C22×2−1+411yescharacteristic
638C2×C83C2×#58511yescharacteristic
639C2×C832−1+611yescharacteristic
640#3565C2×C8316yescomplemented
641#3565C2×C8316yescomplemented
642#3557C2×C8316yescomplemented
643#3555C2×C8316yescomplemented
644#3555C2×C8313yescomplemented
645#3552C2×C8313yescomplemented
646#3550C2×C8313yescomplemented
647#3547C2×C8313yescomplemented
648#3524C2×C8312yescomplemented
649#3523C2×C8313yescomplemented
650#3523C2×C8311yescharacteristic, complemented
651#3518C2×C8313yescomplemented
652#3518C2×C8312yescomplemented
653#3518C2×C8311yescharacteristic, complemented
654#3516C2×C8312yescomplemented
655#3509C2×C8313yescomplemented
656#3503C2×C8311yescharacteristic, complemented
657#3502C2×C8311yescharacteristic, complemented
658#3502C2×C8312yescomplemented
659#3482C2×C8311yescharacteristic, complemented
660#3480C2×C8311yescharacteristic, complemented
661Q8×#41C2×C8311yescharacteristic, complemented
662#3461C2×C8313yescomplemented
663C83#6295311yescharacteristic, direct product factor, Sylow
664#563C22×C83112yes—
665#563C22×C83112yes—
666#563C22×C83112yes—
667#562C22×C83112yes—
668#559C22×C8313yes—
669#559C22×C8316yes—
670Q82C22×C8311yescharacteristic
671Q82C22×C8312yes—
672Q82C22×C8313yes—
673Q82C22×C8316yes—
674#557C22×C8312yes—
675#557C22×C8311yescharacteristic
676#557C22×C8311yescharacteristic
677#557C22×C8311yescharacteristic
678#557C22×C8312yes—
679#557C22×C8316yes—
680#557C22×C8313yes—
681#557C22×C8316yes—
682#557C22×C8316yes—
683#557C22×C8316yes—
684#557C22×C8316yes—
685#557C22×C8313yes—
686#556C22×C8313yes—
687#556C22×C8313yes—
688#556C22×C8316yes—
689#556C22×C8316yes—
690#556C22×C8316yes—
691#556C22×C8316yes—
692#556C22×C8313yes—
693#556C22×C8313yes—
694#556C22×C8316yes—
695#556C22×C8316yes—
696#556C22×C83112yes—
697#556C22×C8316yes—
698#555C22×C8313yes—
699#555C22×C8316yes—
700#555C22×C8316yes—
701#554C22×C8313yes—
702#554C22×C8316yes—
703#554C22×C8316yes—
704#554C22×C8316yes—
705#553C22×C8313yes—
706#553C22×C8313yes—
707#553C22×C8316yes—
708#553C22×C8316yes—
709#552C22×C8316yes—
710#552C22×C8316yes—
711#552C22×C8316yes—
712#552C22×C8316yes—
713#552C22×C8316yes—
714#552C22×C8316yes—
715#552C22×C83112yes—
716#552C22×C8316yes—
717#550C22×C8311yescharacteristic
718D4×Q8C22×C8313yes—
719D4×Q8C22×C8311yescharacteristic
720D4×Q8C22×C8313yes—
721D4×Q8C22×C8313yes—
722D4×Q8C22×C8312yes—
723D4×Q8C22×C8316yes—
724#548C22×C8311yescharacteristic
725#548C22×C8311yescharacteristic
726#548C22×C8312yes—
727#548C22×C8312yes—
728#548C22×C8316yes—
729#547C22×C8313yes—
730#544C22×C8313yes—
731#544C22×C8316yes—
732#544C22×C8316yes—
733#544C22×C8316yes—
734#544C22×C8316yes—
735#542C22×C8311yescharacteristic
736#542C22×C8313yes—
737#542C22×C8316yes—
738#542C22×C8316yes—
739#542C22×C8316yes—
740#542C22×C8316yes—
741#542C22×C8316yes—
742#542C22×C83112yes—
743#542C22×C8316yes—
744#542C22×C83112yes—
745#542C22×C83112yes—
746#541C22×C8313yes—
747#541C22×C8313yes—
748#541C22×C8316yes—
749#541C22×C8316yes—
750#541C22×C8316yes—
751#541C22×C8316yes—
752#541C22×C83112yes—
753#541C22×C83112yes—
754#540C22×C8316yes—
755#539C22×C8316yes—
756#539C22×C8316yes—
757#539C22×C83112yes—
758#537C22×C8313yes—
759#536C22×C8313yes—
760#536C22×C8313yes—
761#536C22×C8316yes—
762#533C22×C8313yes—
763#533C22×C8316yes—
764#533C22×C8313yes—
765#533C22×C8313yes—
766#533C22×C8316yes—
767#533C22×C8313yes—
768#533C22×C8313yes—
769#533C22×C8316yes—
770#533C22×C8313yes—
771#533C22×C8313yes—
772#533C22×C8316yes—
773#532C22×C8313yes—
774C2×C4⋊Q8C22×C8313yes—
775#529C22×C8316yes—
776#529C22×C8313yes—
777#529C22×C8316yes—
778#529C22×C8313yes—
779#529C22×C8316yes—
780#529C22×C8313yes—
781#529C22×C8313yes—
782#529C22×C8316yes—
783#529C22×C8316yes—
784#529C22×C8316yes—
785#520C22×C8312yes—
786#519C22×C8312yes—
787#519C22×C8312yes—
788#519C22×C8312yes—
789#519C22×C8316yes—
790C4×#41C22×C8313yes—
791C4×#41C22×C8313yes—
792C4×#41C22×C8311yescharacteristic
793C4×#41C22×C8312yes—
794C4×#41C22×C8311yescharacteristic
795C2×C4×Q8C22×C8313yes—
796C2×C4×Q8C22×C8311yescharacteristic
797C2×C4×Q8C22×C8312yes—
798C2×#41C23×C8311yescharacteristic
799C2×#41C23×C8311yescharacteristic
800C2×#41C23×C8313yes—
801C2×#41C23×C8313yes—
802C22×Q8C23×C8311yescharacteristic
803C22×Q8C23×C8312yes—
804C22×Q8C23×C8313yes—
805C22×Q8C23×C8316yes—
806C4⋊Q8C23×C8313yes—
807C4⋊Q8C23×C8313yes—
808C4⋊Q8C23×C8313yes—
809C4⋊Q8C23×C8316yes—
810C4⋊Q8C23×C8316yes—
811C4⋊Q8C23×C8313yes—
812C4⋊Q8C23×C8311yescharacteristic
813C4⋊Q8C23×C8313yes—
814C4⋊Q8C23×C8313yes—
815C4⋊Q8C23×C8313yes—
816C4⋊Q8C23×C8316yes—
817C4⋊Q8C23×C8316yes—
818C4⋊Q8C23×C8316yes—
819C4⋊Q8C23×C8316yes—
820C4⋊Q8C23×C8316yes—
821C4⋊Q8C23×C8316yes—
822C4⋊Q8C23×C8313yes—
823C4⋊Q8C23×C8316yes—
824C4⋊Q8C23×C8316yes—
825C4⋊Q8C23×C83112yes—
826C4⋊Q8C23×C83112yes—
827C4⋊Q8C23×C83112yes—
828#127C23×C8313yes—
829#126C23×C8316yes—
830#126C23×C8312yes—
831#126C23×C8316yes—
832#126C23×C8316yes—
833#126C23×C8316yes—
834#126C23×C8316yes—
835#126C23×C8316yes—
836#126C23×C8316yes—
837#126C23×C8316yes—
838#126C23×C83112yes—
839#126C23×C8316yes—
840#126C23×C83112yes—
841#126C23×C83112yes—
842#126C23×C83112yes—
843#126C23×C83112yes—
844#126C23×C83112yes—
845#126C23×C83112yes—
846#126C23×C83112yes—
847#125C23×C8316yes—
848#125C23×C8313yes—
849#125C23×C8316yes—
850#125C23×C8313yes—
851#125C23×C8316yes—
852#125C23×C8316yes—
853#125C23×C8313yes—
854#125C23×C8316yes—
855#125C23×C8313yes—
856#125C23×C8316yes—
857#125C23×C8316yes—
858#125C23×C8316yes—
859#125C23×C8316yes—
860#125C23×C8316yes—
861#125C23×C8316yes—
862#125C23×C8316yes—
863#125C23×C8316yes—
864#125C23×C8316yes—
865#125C23×C8316yes—
866#125C23×C83112yes—
867#125C23×C83112yes—
868#125C23×C83112yes—
869#125C23×C83112yes—
870#125C23×C83112yes—
871#124C23×C8311yescharacteristic
872#124C23×C8312yes—
873#124C23×C8313yes—
874#124C23×C8316yes—
875#124C23×C8313yes—
876#124C23×C8316yes—
877#124C23×C8316yes—
878#124C23×C8313yes—
879#124C23×C8316yes—
880#124C23×C8316yes—
881#124C23×C83112yes—
882#124C23×C83112yes—
883#124C23×C83112yes—
884#124C23×C83112yes—
885#123C23×C8312yes—
886#123C23×C8316yes—
887#123C23×C8316yes—
888#123C23×C8316yes—
889#123C23×C8316yes—
890#123C23×C8316yes—
891#123C23×C8316yes—
892#123C23×C8316yes—
893#123C23×C83112yes—
894#123C23×C8316yes—
895#123C23×C83112yes—
896#123C23×C8316yes—
897#123C23×C83112yes—
898#123C23×C83112yes—
899C22⋊Q8C23×C8313yes—
900C22⋊Q8C23×C8316yes—
901C22⋊Q8C23×C8313yes—
902C22⋊Q8C23×C8313yes—
903C22⋊Q8C23×C8316yes—
904C22⋊Q8C23×C8316yes—
905C22⋊Q8C23×C8316yes—
906C22⋊Q8C23×C8313yes—
907C22⋊Q8C23×C8316yes—
908C22⋊Q8C23×C8316yes—
909C22⋊Q8C23×C8311yescharacteristic
910C22⋊Q8C23×C8313yes—
911C22⋊Q8C23×C8312yes—
912C22⋊Q8C23×C8316yes—
913C22⋊Q8C23×C8316yes—
914C22⋊Q8C23×C8316yes—
915C22⋊Q8C23×C8316yes—
916C22⋊Q8C23×C8313yes—
917C22⋊Q8C23×C8316yes—
918C22⋊Q8C23×C8313yes—
919C22⋊Q8C23×C8316yes—
920C22⋊Q8C23×C83112yes—
921C22⋊Q8C23×C8316yes—
922C22⋊Q8C23×C8316yes—
923C22⋊Q8C23×C83112yes—
924C22⋊Q8C23×C8316yes—
925C22⋊Q8C23×C83112yes—
926C22⋊Q8C23×C8316yes—
927C22⋊Q8C23×C8316yes—
928C22⋊Q8C23×C83112yes—
929C22⋊Q8C23×C8316yes—
930C22⋊Q8C23×C83112yes—
931C22⋊Q8C23×C83112yes—
932C22⋊Q8C23×C83112yes—
933#121C23×C8311yescharacteristic
934#121C23×C8313yes—
935#121C23×C8316yes—
936#121C23×C8316yes—
937#121C23×C8313yes—
938#121C23×C8316yes—
939#121C23×C8316yes—
940#121C23×C8316yes—
941#121C23×C8313yes—
942#121C23×C8313yes—
943#121C23×C8313yes—
944#121C23×C8316yes—
945#121C23×C83112yes—
946C4×Q8C23×C8311yescharacteristic
947C4×Q8C23×C8311yescharacteristic
948C4×Q8C23×C8311yescharacteristic
949C4×Q8C23×C8313yes—
950C4×Q8C23×C8311yescharacteristic
951C4×Q8C23×C8312yes—
952C4×Q8C23×C8313yes—
953C4×Q8C23×C8313yes—
954C4×Q8C23×C8313yes—
955C4×Q8C23×C8316yes—
956C4×Q8C23×C8316yes—
957C4×Q8C23×C8316yes—
958C4×Q8C23×C8313yes—
959C4×Q8C23×C8316yes—
960C4×Q8C23×C8313yes—
961C4×Q8C23×C8312yes—
962C4×Q8C23×C8311yescharacteristic
963C4×Q8C23×C8312yes—
964C4×Q8C23×C8313yes—
965C4×Q8C23×C8313yes—
966C4×Q8C23×C8313yes—
967C4×Q8C23×C8316yes—
968C4×Q8C23×C8316yes—
969C4×Q8C23×C8316yes—
970C4×Q8C23×C8316yes—
971C4×Q8C23×C8316yes—
972C4×Q8C23×C83112yes—
973C4×Q8C23×C83112yes—
974C4×Q8C23×C8316yes—
975C4×Q8C23×C8316yes—
976C4×Q8C23×C8316yes—
977C4×Q8C23×C8316yes—
978C4×Q8C23×C8316yes—
979C4×Q8C23×C8316yes—
980C4×Q8C23×C8316yes—
981C4×Q8C23×C83112yes—
982C4×Q8C23×C8316yes—
983C4×D4C23×C8311yescharacteristic
984C4×D4C23×C8316yes—
985C4×D4C23×C8313yes—
986C4×D4C23×C8313yes—
987C4×D4C23×C8316yes—
988C4×D4C23×C8313yes—
989C4×D4C23×C8313yes—
990C4×D4C23×C8313yes—
991C4×D4C23×C8313yes—
992C4×D4C23×C8313yes—
993C4×D4C23×C8313yes—
994C4×D4C23×C8313yes—
995C4×D4C23×C8316yes—
996C4×D4C23×C8316yes—
997C4×D4C23×C8313yes—
998C4×D4C23×C8313yes—
999C4×D4C23×C8316yes—
1000C4×D4C23×C8316yes—
1001C4×D4C23×C8316yes—
1002C4×D4C23×C8316yes—
1003C4×D4C23×C8316yes—
1004C4×D4C23×C83112yes—
1005C4×D4C23×C83112yes—
1006#117C23×C8311yescharacteristic
1007#117C23×C8313yes—
1008#117C23×C8313yes—
1009#117C23×C8313yes—
1010#117C23×C8316yes—
1011#117C23×C8313yes—
1012#117C23×C8316yes—
1013#117C23×C8313yes—
1014#117C23×C8316yes—
1015#117C23×C8316yes—
1016#117C23×C8316yes—
1017#117C23×C83112yes—
1018#117C23×C83112yes—
1019#117C23×C8316yes—
1020#117C23×C8316yes—
1021#117C23×C8316yes—
1022#117C23×C8316yes—
1023#117C23×C8316yes—
1024#117C23×C8316yes—
1025#117C23×C83112yes—
1026#117C23×C8316yes—
1027C2×C4⋊C4C23×C8313yes—
1028C2×C4⋊C4C23×C8316yes—
1029C2×C4⋊C4C23×C8316yes—
1030C2×C4⋊C4C23×C8313yes—
1031C2×C4⋊C4C23×C8316yes—
1032C2×C4⋊C4C23×C8316yes—
1033C2×C42C23×C8313yes—
1034C2×C42C23×C8316yes—
1035C2×C42C23×C8316yes—
1036C2×C42C23×C8313yes—
1037C2×C42C23×C8313yes—
1038#41—24no—
1039#41—24no—
1040#41—46no—
1041#41—46no—
1042C2×Q8—24no—
1043C2×Q8—28no—
1044C2×Q8—412no—
1045C2×Q8—46no—
1046C2×Q8C24×C8313yes—
1047C2×Q8C24×C8316yes—
1048C2×Q8C24×C8311yescharacteristic
1049C2×Q8C24×C8313yes—
1050C2×Q8C24×C8313yes—
1051C2×Q8C24×C8312yes—
1052C2×Q8C24×C8316yes—
1053C2×Q8C24×C8316yes—
1054C2×Q8C24×C8316yes—
1055C2×Q8C24×C83112yes—
1056C2×Q8C24×C8313yes—
1057C2×Q8C24×C8311yescharacteristic
1058C2×D4C24×C8313yes—
1059C2×D4C24×C8313yes—
1060C2×D4C24×C8311yescharacteristic
1061C2×D4C24×C8312yes—
1062C2×D4C24×C8316yes—
1063C2×D4C24×C8316yes—
1064C2×D4C24×C8316yes—
1065C2×D4C24×C8313yes—
1066C2×D4C24×C8313yes—
1067C2×D4C24×C8313yes—
1068C22×C4C24×C8313yes—
1069C22×C4C24×C8311yescharacteristic
1070C22×C4C24×C8313yes—
1071C22×C4C24×C8316yes—
1072C22×C4C24×C8313yes—
1073C22×C4C24×C8313yes—
1074C22×C4C24×C8313yes—
1075C22×C4C24×C8312yes—
1076C22×C4C24×C8313yes—
1077C22×C4C24×C8316yes—
1078C22×C4C24×C8313yes—
1079C22×C4C24×C8316yes—
1080C22×C4C24×C8313yes—
1081C22×C4C24×C8316yes—
1082C22×C4C24×C83112yes—
1083C4⋊C4C24×C8311yescharacteristic
1084C4⋊C4C24×C8312yes—
1085C4⋊C4C24×C8313yes—
1086C4⋊C4C24×C8316yes—
1087C4⋊C4C24×C8316yes—
1088C4⋊C4C24×C8316yes—
1089C4⋊C4C24×C8313yes—
1090C4⋊C4C24×C8316yes—
1091C4⋊C4C24×C8313yes—
1092C4⋊C4C24×C8313yes—
1093C4⋊C4C24×C8316yes—
1094C4⋊C4C24×C8316yes—
1095C4⋊C4C24×C8316yes—
1096C4⋊C4C24×C8316yes—
1097C4⋊C4C24×C8316yes—
1098C4⋊C4C24×C8316yes—
1099C4⋊C4C24×C83112yes—
1100C4⋊C4C24×C8316yes—
1101C4⋊C4C24×C8316yes—
1102C4⋊C4C24×C8313yes—
1103C4⋊C4C24×C8313yes—
1104C4⋊C4C24×C8311yescharacteristic
1105C4⋊C4C24×C8316yes—
1106C4⋊C4C24×C8312yes—
1107C4⋊C4C24×C8316yes—
1108C4⋊C4C24×C8316yes—
1109C4⋊C4C24×C8316yes—
1110C4⋊C4C24×C8311yescharacteristic
1111C4⋊C4C24×C8311yescharacteristic
1112C4⋊C4C24×C8313yes—
1113C4⋊C4C24×C8313yes—
1114C4⋊C4C24×C8313yes—
1115C4⋊C4C24×C8316yes—
1116C4⋊C4C24×C8313yes—
1117C4⋊C4C24×C83112yes—
1118C4⋊C4C24×C8316yes—
1119C4⋊C4C24×C83112yes—
1120C4⋊C4C24×C8316yes—
1121C4⋊C4C24×C8316yes—
1122C4⋊C4C24×C8316yes—
1123C4⋊C4C24×C8316yes—
1124C4⋊C4C24×C8316yes—
1125C4⋊C4C24×C8316yes—
1126C4⋊C4C24×C8316yes—
1127C4⋊C4C24×C83112yes—
1128C4⋊C4C24×C8316yes—
1129C4⋊C4C24×C8316yes—
1130C4⋊C4C24×C8316yes—
1131C4⋊C4C24×C8312yes—
1132C22⋊C4C24×C8313yes—
1133C22⋊C4C24×C8313yes—
1134C22⋊C4C24×C8312yes—
1135C22⋊C4C24×C8312yes—
1136C22⋊C4C24×C8316yes—
1137C22⋊C4C24×C8316yes—
1138C22⋊C4C24×C8316yes—
1139C22⋊C4C24×C83112yes—
1140C22⋊C4C24×C8312yes—
1141C22⋊C4C24×C8312yes—
1142C22⋊C4C24×C83112yes—
1143C22⋊C4C24×C8316yes—
1144C22⋊C4C24×C8316yes—
1145C22⋊C4C24×C8311yescharacteristic
1146C22⋊C4C24×C8311yescharacteristic
1147C22⋊C4C24×C8316yes—
1148C22⋊C4C24×C8313yes—
1149C22⋊C4C24×C8316yes—
1150C22⋊C4C24×C83112yes—
1151C22⋊C4C24×C8316yes—
1152C22⋊C4C24×C8316yes—
1153C22⋊C4C24×C8313yes—
1154C22⋊C4C24×C8316yes—
1155C22⋊C4C24×C8316yes—
1156C22⋊C4C24×C8316yes—
1157C22⋊C4C24×C8312yes—
1158C22⋊C4C24×C8316yes—
1159C22⋊C4C24×C8316yes—
1160C42C24×C8311yescharacteristic
1161C42C24×C8311yescharacteristic
1162C42C24×C8313yes—
1163C42C24×C8313yes—
1164C42C24×C8312yes—
1165C42C24×C8313yes—
1166C42C24×C8316yes—
1167C42C24×C8316yes—
1168C42C24×C8316yes—
1169C42C24×C8313yes—
1170C42C24×C8316yes—
1171C42C24×C8316yes—
1172C42C24×C8313yes—
1173C42C24×C8313yes—
1174C42C24×C8313yes—
1175C42C24×C8316yes—
1176C42C24×C8313yes—
1177C42C24×C83112yes—
1178C42C24×C83112yes—
1179C42C24×C83112yes—
1180C23C25×C8311yescharacteristic
1181C23C25×C8312yes—
1182C23C25×C8313yes—
1183C23C25×C8313yes—
1184Q8—26no—
1185Q8—212no—
1186Q8—26no—
1187Q8—22no—
1188Q8—26no—
1189Q8—46no—
1190Q8—412no—
1191Q8—43no—
1192Q8—42no—
1193Q8—46no—
1194Q8—46no—
1195Q82−1+4×C8314yes—
1196D4—26no—
1197D4—26no—
1198D4—22no—
1199D4—43no—
1200D4—43no—
1201D4—43no—
1202D4—46no—
1203D4—42no—
1204D4—46no—
1205D4—46no—
1206C2×C4—212no—
1207C2×C4—26no—
1208C2×C4—26no—
1209C2×C4—26no—
1210C2×C4—26no—
1211C2×C4—26no—
1212C2×C4—22no—
1213C2×C4—412no—
1214C2×C4—46no—
1215C2×C4—46no—
1216C2×C4—43no—
1217C2×C4—42no—
1218C2×C4—46no—
1219C2×C4—43no—
1220C2×C4—43no—
1221C2×C4C25×C8311yescharacteristic
1222C2×C4C25×C8311yescharacteristic
1223C2×C4C25×C8316yes—
1224C2×C4C25×C8313yes—
1225C2×C4C25×C8312yes—
1226C2×C4C25×C8316yes—
1227C2×C4C25×C8313yes—
1228C2×C4C25×C8313yes—
1229C2×C4C25×C8311yescharacteristic
1230C2×C4C25×C8311yescharacteristic
1231C2×C4C25×C8311yescharacteristic
1232C2×C4C25×C8313yes—
1233C2×C4C25×C8312yes—
1234C2×C4C25×C8316yes—
1235C2×C4C25×C8312yes—
1236C2×C4C25×C8313yes—
1237C2×C4C25×C8316yes—
1238C2×C4C25×C8313yes—
1239C2×C4C25×C8311yescharacteristic
1240C22—21no—
1241C22—22no—
1242C22—23no—
1243C22—23no—
1244C22—23no—
1245C22—23no—
1246C22—21no—
1247C22—22no—
1248C22—21no—
1249C22—23no—
1250C22—22no—
1251C22—23no—
1252C22C26×C8311yescharacteristic
1253C4—21no—
1254C4—21no—
1255C4—26no—
1256C4—23no—
1257C4—23no—
1258C4—21no—
1259C4—23no—
1260C4—26no—
1261C4—26no—
1262C4—22no—
1263C4—21no—
1264C4—22no—
1265C4—23no—
1266C4—21no—
1267C4—23no—
1268C4—26no—
1269C4—22no—
1270C4C2×2−1+4×C8316yes—
1271C4#585×C8312yes—
1272C2—41no—
1273C2—42no—
1274C2—43no—
1275C2—43no—
1276C2C22×2−1+4×C8311yescharacteristic
1277C2C2×#585×C8311yescharacteristic
1278C2C83×2−1+611yescharacteristic
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×#3565C2semidirect
3. C83×#3557C2semidirect
4. C83×#3555C2semidirect
5. C83×#3555C2semidirect
6. C83×#3552C2semidirect
7. C83×#3550C2semidirect
8. C83×#3547C2semidirect
9. C83×#3524C2semidirect
10. C83×#3523C2semidirect
11. C83×#3523C2semidirect
12. C83×#3518C2semidirect
13. C83×#3518C2semidirect
14. C83×#3518C2semidirect
15. C83×#3516C2semidirect
16. C83×#3509C2semidirect
17. C83×#3503C2semidirect
18. C83×#3502C2semidirect
19. C83×#3502C2semidirect
20. C83×#3482C2semidirect
21. C83×#3480C2semidirect
22. Q8×#41×C83C2semidirect
23. C83×#3461C2semidirect
632. #62953C83direct (N × H)
640. #3565C2×C83semidirect
641. #3565C2×C83semidirect
642. #3557C2×C83semidirect
643. #3555C2×C83semidirect
644. #3555C2×C83semidirect
645. #3552C2×C83semidirect
646. #3550C2×C83semidirect
647. #3547C2×C83semidirect
648. #3524C2×C83semidirect
649. #3523C2×C83semidirect
650. #3523C2×C83semidirect
651. #3518C2×C83semidirect
652. #3518C2×C83semidirect
653. #3518C2×C83semidirect
654. #3516C2×C83semidirect
655. #3509C2×C83semidirect
656. #3503C2×C83semidirect
657. #3502C2×C83semidirect
658. #3502C2×C83semidirect
659. #3482C2×C83semidirect
660. #3480C2×C83semidirect
661. Q8×#41C2×C83semidirect
662. #3461C2×C83semidirect
663. C83#62953direct (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×#35572
C83×#35552
C83×#35522
C83×#35502
C83×#35472
C83×#35242
C83×#35232
C83×#35182
C83×#35162
C83×#35092
C83×#35032
C83×#35022
C83×#34822
C83×#34802
Q8×#41×C832
C83×#34612
#6295383