Finite Group Databasebeta

← C2×#24918728 #36276606

Subgroups — C2×#24918728 #36276606

Order 21248.

1678 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128331C211yesmaximal, characteristic
2C2×#19128309C211yesmaximal, characteristic
3#24918728C2116yesmaximal, direct product factor
4C2×#19128109C211yesmaximal, characteristic, complemented
5C2×#19128101C211yesmaximal, characteristic, complemented
6C2×#19128068C211yesmaximal, characteristic, complemented
7C2×#19128050C211yesmaximal, characteristic, complemented
8C2×#19128038C211yesmaximal, characteristic
9C2×#19128045C211yesmaximal, characteristic
10C2×#19128040C211yesmaximal, characteristic
11C2×#19128030C211yesmaximal, characteristic
12C2×#19128005C211yesmaximal, characteristic, complemented
13C2×#19127996C211yesmaximal, characteristic, complemented
14C2×#19127987C211yesmaximal, characteristic, complemented
15C2×#19127761C211yesmaximal, characteristic
16C2×#479×C83C211yesmaximal, characteristic, complemented
17#19128331—24no—
18#19128331C2218yes—
19#19128309—24no—
20#19128309C2218yes—
21C2×#14581792C2211yescharacteristic
22C2×#14581791—21no—
23C2×#14581791C2211yescharacteristic
24C2×#14581790C2211yescharacteristic
25C2×#14581787—21no—
26C2×#14581786—21no—
27C2×#14581784—21no—
28C2×#14581783C2211yescharacteristic
29C2×#14581783C2211yescharacteristic
30C2×#14581782—21no—
31C2×#14581782—21no—
32C2×#14581772—21no—
33C2×#14581772C2211yescharacteristic
34C2×#14581770—21no—
35C2×#14581768C2211yescharacteristic
36C2×C4×Dic166C2211yescharacteristic
37C2×#14581750C2211yescharacteristic
38C2×#14581749C2211yescharacteristic
39C2×C4⋊C4×D83C2211yescharacteristic
40#19128109C2218yescomplemented
41#19128101C2218yescomplemented
42#19128068C2218yescomplemented
43#19128050C2218yescomplemented
44#19128045C2218yes—
45#19128040C2218yes—
46#19128038C2218yes—
47#19128030C2218yes—
48#19128005C2218yescomplemented
49#19127996C2218yescomplemented
50#19127987C2218yescomplemented
51#19127761C2218yes—
52C2×#14581725C2211yescharacteristic
53C2×#14581725C2211yescharacteristic
54C2×#14581725C2211yescharacteristic
55C2×#14581724C2211yescharacteristic
56C2×#14581724C2211yescharacteristic
57C2×#14581723C2211yescharacteristic
58C2×C4⋊(C83⋊C8)C2211yescharacteristic
59C2×#14581717C2211yescharacteristic
60C2×#14581717C2211yescharacteristic
61C2×#14581716C2211yescharacteristic
62C2×#14581716C2211yescharacteristic
63C2×#14581715C2211yescharacteristic
64C2×#14581715C2211yescharacteristic
65C2×(C2×D83)⋊C8C2211yescharacteristic
66C2×(C2×D83)⋊C8C2211yescharacteristic
67C2×#14581702C2211yescharacteristic
68C2×C8×Dic83C2211yescharacteristic
69C2×#125×C83C2211yescharacteristic
70C2×C4×Q8×C83C2211yescharacteristic
71#479×C83C2218yescomplemented
72C2×#107×C83C2211yescharacteristic
73C2×#106×C83C2211yescharacteristic
74C2×C4⋊C8×C83C2211yescharacteristic
75C2×#103×C83C2211yescharacteristic
76C2×#103×C83C2211yescharacteristic
77C22×Dic166—21no—
78C22×Dic166—21no—
79C22×Dic166C2311yescharacteristic
80C22×C4×D83—21no—
81C22×C4×D83C2311yescharacteristic
82C22×C83⋊C8C2311yescharacteristic
83C22×C83⋊C8C2311yescharacteristic
84#14581792—22no—
85#14581792C2314yes—
86#14581791—28no—
87#14581791—22no—
88#14581791C2314yes—
89#14581790—22no—
90#14581790C2314yes—
91#14581787—28no—
92#14581786—28no—
93#14581784—28no—
94#14581783—22no—
95#14581783—22no—
96#14581783C2314yes—
97#14581783C2314yes—
98#14581782—28no—
99#14581782—28no—
100#14581772—22no—
101#14581772—28no—
102#14581772C2314yes—
103#14581770—28no—
104#14581768—22no—
105#14581768C2314yes—
106C4×Dic166—22no—
107C4×Dic166C2314yes—
108#14581750—22no—
109#14581750C2314yes—
110#14581749D414yes—
111#14581749C2314yes—
112C2×C4⋊Dic83—21no—
113C2×C4⋊Dic83—21no—
114C2×C4⋊Dic83—21no—
115C2×C4⋊Dic83—21no—
116C2×C4⋊Dic83C2311yescharacteristic
117C2×C4⋊Dic83C2311yescharacteristic
118C2×C4⋊Dic83C2311yescharacteristic
119C2×Dic83⋊C4—21no—
120C2×Dic83⋊C4—21no—
121C2×Dic83⋊C4—21no—
122C2×Dic83⋊C4—21no—
123C2×Dic83⋊C4—21no—
124C2×Dic83⋊C4—21no—
125C2×Dic83⋊C4—21no—
126C2×Dic83⋊C4—21no—
127C2×Dic83⋊C4D411yescharacteristic
128C2×Dic83⋊C4D411yescharacteristic
129C4⋊C4×D83—22no—
130C4⋊C4×D83C2314yes—
131C2×(C2×D83)⋊C4—21no—
132C2×(C2×D83)⋊C4—21no—
133C2×(C2×D83)⋊C4—21no—
134C2×(C2×D83)⋊C4D411yescharacteristic
135C2×(C2×D83)⋊C4D411yescharacteristic
136C2×C4×Dic83—21no—
137C2×C4×Dic83—21no—
138C2×C4×Dic83C2311yescharacteristic
139#14581725C2314yes—
140#14581725C2314yes—
141#14581725C2314yes—
142#14581724C2314yes—
143#14581724C2314yes—
144#14581723C2314yes—
145C4⋊(C83⋊C8)C2314yes—
146#14581717C2314yes—
147#14581717C2314yes—
148#14581716C2314yes—
149#14581716C2314yes—
150#14581715C2314yes—
151#14581715C2314yes—
152(C2×D83)⋊C8C2314yes—
153(C2×D83)⋊C8C2314yes—
154#14581702C2314yes—
155C8×Dic83C2314yes—
156C22×Q8×C83C2311yescharacteristic
157C22×C8×C83C2311yescharacteristic
158C22×C8×C83C2311yescharacteristic
159#125×C83—22no—
160#125×C83C2314yes—
161C4×Q8×C83—22no—
162C4×Q8×C83C2314yes—
163C2×C4⋊C4×C83—21no—
164C2×C4⋊C4×C83—21no—
165C2×C4⋊C4×C83—21no—
166C2×C4⋊C4×C83C2311yescharacteristic
167C2×C4⋊C4×C83C2311yescharacteristic
168C2×C4⋊C4×C83C2311yescharacteristic
169C2×C42×C83—21no—
170C2×C42×C83C2311yescharacteristic
171#107×C83C2314yes—
172#106×C83C2314yes—
173C4⋊C8×C83C2314yes—
174#103×C83C2314yes—
175#103×C83C2314yes—
176C23×D83C2×D411yescharacteristic
177C2×Dic166—22no—
178C2×Dic166—22no—
179C2×Dic166—21no—
180C2×Dic166—24no—
181C2×Dic166—24no—
182C2×Dic166—82no—
183C2×Dic166—82no—
184C2×Dic166C2412yes—
185C22×Dic83—21no—
186C22×Dic83—21no—
187C22×Dic83—21no—
188C22×Dic83—21no—
189C22×Dic83C2×D411yescharacteristic
190C22×Dic83C2×D411yescharacteristic
191C22×Dic83C2×D411yescharacteristic
192C2×C4×D83—22no—
193C2×C4×D83—22no—
194C2×C4×D83—24no—
195C2×C4×D83—82no—
196C2×C4×D83C2×D412yes—
197C2×C4×D83C2412yes—
198C2×C83⋊C8—22no—
199C2×C83⋊C8—22no—
200C2×C83⋊C8C2412yes—
201C2×C83⋊C8C2412yes—
202C4⋊Dic83—21no—
203C4⋊Dic83—24no—
204C4⋊Dic83—21no—
205C4⋊Dic83—21no—
206C4⋊Dic83—24no—
207C4⋊Dic83—24no—
208C4⋊Dic83—24no—
209C4⋊Dic83C2412yes—
210C4⋊Dic83C2412yes—
211C4⋊Dic83C2412yes—
212Dic83⋊C4—24no—
213Dic83⋊C4—24no—
214Dic83⋊C4—24no—
215Dic83⋊C4—24no—
216Dic83⋊C4—24no—
217Dic83⋊C4—24no—
218Dic83⋊C4—24no—
219Dic83⋊C4—24no—
220Dic83⋊C4C2×D414yes—
221Dic83⋊C4C2×D414yes—
222(C2×D83)⋊C4—24no—
223(C2×D83)⋊C4—24no—
224(C2×D83)⋊C4—24no—
225(C2×D83)⋊C4C2×D414yes—
226(C2×D83)⋊C4C2×D414yes—
227C4×Dic83—24no—
228C4×Dic83—24no—
229C4×Dic83C2×D412yes—
230C4×Dic83C2412yes—
231C2×Q8×C83—21no—
232C2×Q8×C83—22no—
233C2×Q8×C83—22no—
234C2×Q8×C83C2412yes—
235C22×C4×C83—21no—
236C22×C4×C83—21no—
237C22×C4×C83—21no—
238C22×C4×C83—21no—
239C22×C4×C83C2×D411yescharacteristic
240C22×C4×C83C2×D411yescharacteristic
241C22×C4×C83C2411yescharacteristic
242C2×C8×C83—22no—
243C2×C8×C83—22no—
244C2×C8×C83C2412yes—
245C2×C8×C83C2412yes—
246C4⋊C4×C83—24no—
247C4⋊C4×C83—24no—
248C4⋊C4×C83—21no—
249C4⋊C4×C83—24no—
250C4⋊C4×C83—21no—
251C4⋊C4×C83—21no—
252C4⋊C4×C83C2412yes—
253C4⋊C4×C83C2412yes—
254C4⋊C4×C83C2412yes—
255C42×C83—24no—
256C42×C83C2×D412yes—
257C42×C83C2412yes—
258C23×C83C22×D411yescharacteristic
259C22×D83—22no—
260C22×D83—22no—
261C22×D83—22no—
262C22×D83C22×D412yes—
263Q8×C83—22no—
264Q8×C83—22no—
265Q8×C83—42no—
266C2×C4×C83—22no—
267C2×C4×C83—22no—
268C2×C4×C83—22no—
269C2×C4×C83—22no—
270C2×C4×C83—22no—
271C2×C4×C83—22no—
272C2×C4×C83—42no—
273C2×C4×C83—42no—
274C2×C4×C83—42no—
275C2×C4×C83—42no—
276C2×C4×C83C22×D412yes—
277C2×C4×C83C22×D412yes—
278C2×C4×C83C22×D411yescharacteristic
279C2×C4×C832−1+412yes—
280C2×C4×C832−1+412yes—
281C2×C4×C83C2511yescharacteristic
282C2×Dic83—22no—
283C2×Dic83—22no—
284C2×Dic83—22no—
285C2×Dic83—22no—
286C2×Dic83—22no—
287C2×Dic83—22no—
288C2×Dic83—22no—
289C2×Dic83—42no—
290C2×Dic83—42no—
291C2×Dic83—42no—
292C2×Dic83—42no—
293C2×Dic83C22×D412yes—
294C2×Dic83C22×D412yes—
295C2×Dic83C22×D412yes—
296C4×D83—24no—
297C4×D83—22no—
298C4×D83—22no—
299C4×D83—84no—
300Dic166—22no—
301Dic166—22no—
302Dic166—42no—
303Dic166—84no—
304Dic166—84no—
305C8×C83—22no—
306C8×C83—22no—
307C83⋊C8—22no—
308C83⋊C8—22no—
309C22×C83#53612yes—
310C22×C83#57712yes—
311C22×C83#57812yes—
312C22×C83C23×D411yescharacteristic
313C2×D83—22no—
314C2×D83—22no—
315C2×D83—22no—
316C2×D83—44no—
317C4×C83—22no—
318C4×C83—22no—
319C4×C83—42no—
320C4×C83—42no—
321C4×C83—42no—
322C4×C83—42no—
323C4×C83#53612yes—
324C4×C83C2×2−1+411yescharacteristic
325C4×C83C2×2−1+411yescharacteristic
326Dic83—22no—
327Dic83—22no—
328Dic83—22no—
329Dic83—42no—
330Dic83—42no—
331Dic83—42no—
332Dic83—42no—
333C2×#3242—831nomaximal, Sylow
334C2×C83#324214yescomplemented
335C2×C83C2×#53611yescharacteristic
336C2×C83C2×#57711yescharacteristic
337C2×C83C2×#57811yescharacteristic
338D83—42no—
339C2×#544—831no—
340C2×#541—831no—
341#3242—8316no—
342C2×#501—831no—
343C2×#499—831no—
344C2×#491—831no—
345C2×#487—831no—
346C2×#484—831no—
347C2×#485—831no—
348C2×#485—831no—
349C2×#483—831no—
350C2×#479—831no—
351C2×#479D8311yescharacteristic, complemented
352C2×#477—831no—
353C2×#475—831no—
354C2×#433—831no—
355C83C2×#324211yescharacteristic, complemented, Sylow
356#544—838no—
357#544—1664no—
358#541—838no—
359#541—1664no—
360C2×C4⋊Q8—831no—
361C2×C4⋊Q8—831no—
362C2×C4⋊Q8—831no—
363C2×C4⋊Q8—1661no—
364C2×#126—1661no—
365C2×#126—1661no—
366C2×#125—831no—
367C2×#125—831no—
368C2×#125—1661no—
369C2×#125—1661no—
370C2×#125—1661no—
371C2×#125C2×D8311yescharacteristic
372C2×C22⋊Q8—831no—
373C2×C22⋊Q8—831no—
374C2×C22⋊Q8—1661no—
375C2×C22⋊Q8—1661no—
376C2×C4×Q8—831no—
377C2×C4×Q8C2×D8311yescharacteristic
378C2×#117—831no—
379C2×#117—831no—
380C22×C4⋊C4—831no—
381#501—838no—
382#499—838no—
383#491—838no—
384#487—838no—
385#485—838no—
386#485—838no—
387#484—838no—
388#483—838no—
389#479—838no—
390#479C2×D8318yescomplemented
391#477—838no—
392#475—838no—
393#433—838no—
394C2×#107—831no—
395C2×#107—831no—
396C2×#107—831no—
397C2×#107C2×D8311yescharacteristic
398C2×#106—831no—
399C2×#106—831no—
400C2×#106—831no—
401C2×#106C2×D8311yescharacteristic
402C2×C4⋊C8—831no—
403C2×C4⋊C8C2×D8311yescharacteristic
404C2×#103—831no—
405C2×#103—831no—
406C2×#103—831no—
407C2×#103—831no—
408C2×#103—831no—
409C2×#103—831no—
410C2×#103C2×D8311yescharacteristic
411C2×#103C2×D8311yescharacteristic
412C2×C22⋊C8—831no—
413C2×C22⋊C8—831no—
414C2×#97—831no—
415C2×C4×C8—831no—
416C22×Q8—831no—
417C22×Q8—1661no—
418C22×Q8—1661no—
419C22×Q8C22×D8311yescharacteristic
420C23×C4—831no—
421C23×C4—1661no—
422C22×C8—831no—
423C22×C8—831no—
424C22×C8C22×D8311yescharacteristic
425C22×C8C22×D8311yescharacteristic
426C4⋊Q8—834no—
427C4⋊Q8—834no—
428C4⋊Q8—834no—
429C4⋊Q8—1662no—
430C4⋊Q8—1662no—
431C4⋊Q8—1668no—
432C4⋊Q8—1662no—
433#126—1668no—
434#126—1668no—
435#125—22no—
436#125—834no—
437#125—834no—
438#125—1668no—
439#125—1662no—
440#125—1662no—
441#125—1668no—
442#125—1668no—
443#125C22×D8314yes—
444C22⋊Q8—834no—
445C22⋊Q8—834no—
446C22⋊Q8—1668no—
447C22⋊Q8—1668no—
448C22⋊Q8—1662no—
449C22⋊Q8—1662no—
450C4×Q8—22no—
451C4×Q8—834no—
452C4×Q8—1662no—
453C4×Q8C22×D8314yes—
454#117—834no—
455#117—834no—
456#117—834no—
457#117—1662no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—831no—
462C2×C4⋊C4—831no—
463C2×C4⋊C4—831no—
464C2×C4⋊C4—831no—
465C2×C4⋊C4—831no—
466C2×C4⋊C4—834no—
467C2×C4⋊C4—1662no—
468C2×C4⋊C4—1661no—
469C2×C4⋊C4—1661no—
470C2×C4⋊C4—1661no—
471C2×C4⋊C4—1661no—
472C2×C4⋊C4—1661no—
473C2×C4⋊C4—1661no—
474C2×C4⋊C4—1661no—
475C2×C4⋊C4—1661no—
476C2×C4⋊C4—1661no—
477C2×C4⋊C4—1661no—
478C2×C4⋊C4—1661no—
479C2×C4⋊C4—1661no—
480C2×C4⋊C4C22×D8311yescharacteristic
481C2×C4⋊C4C22×D8311yescharacteristic
482C2×C4⋊C4C22×D8311yescharacteristic
483C2×C22⋊C4—831no—
484C2×C22⋊C4—831no—
485C2×C22⋊C4—1661no—
486C2×C22⋊C4—1661no—
487C2×C22⋊C4—1661no—
488C2×C42—21no—
489C2×C42—831no—
490C2×C42—1661no—
491C2×C42—1661no—
492C2×C42C22×D8311yescharacteristic
493#107—834no—
494#107—834no—
495#107—834no—
496#107C22×D8314yes—
497#106—834no—
498#106—834no—
499#106—834no—
500#106C22×D8314yes—
501C4⋊C8—834no—
502C4⋊C8C22×D8314yes—
503#103—834no—
504#103—834no—
505#103—834no—
506#103—834no—
507#103—834no—
508#103—834no—
509#103C22×D8314yes—
510#103C22×D8314yes—
511C22⋊C8—834no—
512C22⋊C8—834no—
513#97—834no—
514C4×C8—834no—
515C24—831no—
516C2×Q8—21no—
517C2×Q8—22no—
518C2×Q8—22no—
519C2×Q8—832no—
520C2×Q8—6642no—
521C2×Q8—6642no—
522C2×Q8—1664no—
523C2×Q8—1662no—
524C2×Q8—1662no—
525C2×Q8—1661no—
526C2×Q8—1664no—
527C2×Q8C23×D8312yes—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—831no—
533C22×C4—831no—
534C22×C4—831no—
535C22×C4—832no—
536C22×C4—832no—
537C22×C4—6642no—
538C22×C4—1664no—
539C22×C4—1661no—
540C22×C4—1661no—
541C22×C4—1661no—
542C22×C4—1661no—
543C22×C4—1662no—
544C22×C4—1662no—
545C22×C4D4×D8311yescharacteristic
546C22×C4D4×D8311yescharacteristic
547C22×C4C23×D8311yescharacteristic
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—832no—
551C2×C8—832no—
552C2×C8—1662no—
553C2×C8—1662no—
554C2×C8C23×D8312yes—
555C2×C8C23×D8312yes—
556C4⋊C4—24no—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—834no—
563C4⋊C4—834no—
564C4⋊C4—832no—
565C4⋊C4—832no—
566C4⋊C4—832no—
567C4⋊C4—1664no—
568C4⋊C4—1664no—
569C4⋊C4—1664no—
570C4⋊C4—1664no—
571C4⋊C4—1664no—
572C4⋊C4—1664no—
573C4⋊C4—1664no—
574C4⋊C4—1664no—
575C4⋊C4—1664no—
576C4⋊C4—1664no—
577C4⋊C4—1661no—
578C4⋊C4—1661no—
579C4⋊C4—1661no—
580C4⋊C4—1664no—
581C4⋊C4—1664no—
582C4⋊C4C23×D8312yes—
583C4⋊C4C23×D8312yes—
584C4⋊C4C23×D8312yes—
585C22⋊C4—834no—
586C22⋊C4—834no—
587C22⋊C4—1664no—
588C22⋊C4—1664no—
589C22⋊C4—1664no—
590C42—24no—
591C42—832no—
592C42—832no—
593C42—1664no—
594C42—1664no—
595C42D4×D8312yes—
596C42C23×D8312yes—
597C23—832no—
598C23—1662no—
599C23—1662no—
600C23—1662no—
601C23C2×D4×D8311yescharacteristic
602Q8—22no—
603Q8—22no—
604Q8—42no—
605Q8—3322no—
606Q8—6644no—
607Q8—6644no—
608Q8—1662no—
609Q8—1662no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—3322no—
621C2×C4—3322no—
622C2×C4—3322no—
623C2×C4—3322no—
624C2×C4—832no—
625C2×C4—832no—
626C2×C4—832no—
627C2×C4—6644no—
628C2×C4—1662no—
629C2×C4—1662no—
630C2×C4—1662no—
631C2×C4—1662no—
632C2×C4—1662no—
633C2×C4—1662no—
634C2×C4—1662no—
635C2×C4—1664no—
636C2×C4—1662no—
637C2×C4—1662no—
638C2×C4C2×D4×D8312yes—
639C2×C4C2×D4×D8312yes—
640C2×C4C2×D4×D8311yescharacteristic
641C2×C4#1458183912yes—
642C2×C4#1458184012yes—
643C2×C4C24×D8311yescharacteristic
644C8—22no—
645C8—22no—
646C8—1662no—
647C8—1662no—
648C22—3324no—
649C22—1662no—
650C22—1662no—
651C22—1662no—
652C22#1912827412yes—
653C22#1912850812yes—
654C22#1912851712yes—
655C22C22×D4×D8311yescharacteristic
656C4—22no—
657C4—22no—
658C4—42no—
659C4—42no—
660C4—42no—
661C4—42no—
662C4—3322no—
663C4—3322no—
664C4—3322no—
665C4—3322no—
666C4—1662no—
667C4—1662no—
668C4—1662no—
669C4#1912827412yes—
670C4C2×#1458183911yescharacteristic
671C4C2×#1458184011yescharacteristic
672C2—3322no—
673C2#2491872814yesdirect product factor
674C2C2×#1912827411yescharacteristic
675C2C2×#1912850811yescharacteristic
676C2C2×#1912851711yescharacteristic
subgroupG/H
centerC23C2×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC2×#479×C83C2
socleC23×C83C22×D4
prime radicalC23×D83C2×D4
hypercenterC2×#479D83
hypocenterC83C2×#3242
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#479

Complements

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

NH ≅ G/Ntype
3. #24918728C2direct (N × H)
4. C2×#19128109C2semidirect
5. C2×#19128101C2semidirect
6. C2×#19128068C2semidirect
7. C2×#19128050C2semidirect
12. C2×#19128005C2semidirect
13. C2×#19127996C2semidirect
14. C2×#19127987C2semidirect
16. C2×#479×C83C2semidirect
40. #19128109C22semidirect
41. #19128101C22semidirect
42. #19128068C22semidirect
43. #19128050C22semidirect
48. #19128005C22semidirect
49. #19127996C22semidirect
50. #19127987C22semidirect
71. #479×C83C22semidirect
334. C2×C83#3242semidirect
351. C2×#479D83semidirect
355. C83C2×#3242semidirect
390. #479C2×D83semidirect
673. C2#24918728direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#191283312
C2×#191283092
#249187282
C2×#191281092
C2×#191281012
C2×#191280682
C2×#191280502
C2×#191280382
C2×#191280452
C2×#191280402
C2×#191280302
C2×#191280052
C2×#191279962
C2×#191279872
C2×#191277612
C2×#479×C832
C2×#324283