Finite Group Databasebeta

← C2×#14541397 #17913060

Subgroups — C2×#14541397 #17913060

Order 4352.

1866 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763527C211yesmaximal, characteristic
2C2×#11763517C211yesmaximal, characteristic
3#14541397C2116yesmaximal, direct product factor
4C2×#11763206C211yesmaximal, characteristic, complemented
5C2×#11763148C211yesmaximal, characteristic, complemented
6C2×#11763141C211yesmaximal, characteristic, complemented
7C2×#11763140C211yesmaximal, characteristic, complemented
8C2×#11763103C211yesmaximal, characteristic, complemented
9C2×#11763092C211yesmaximal, characteristic, complemented
10C2×#11763066C211yesmaximal, characteristic, complemented
11C2×#11763065C211yesmaximal, characteristic, complemented
12C2×#11762901C211yesmaximal, characteristic, complemented
13C2×#11762884C211yesmaximal, characteristic
14C2×#11762852C211yesmaximal, characteristic, complemented
15C2×#11762850C211yesmaximal, characteristic, complemented
16C2×C17×#485C211yesmaximal, characteristic, complemented
17C22×#63231C2211yescharacteristic
18C22×#63223C2211yescharacteristic
19C22×#63218C2211yescharacteristic
20#11763527—24no—
21#11763527C2218yes—
22#11763517—24no—
23#11763517C2218yes—
24C2×#10587574C2211yescharacteristic
25C2×#10587574C2211yescharacteristic
26C2×#10587562—21no—
27C2×#10587565—21no—
28C2×#10587575—21no—
29C2×#10587571—21no—
30C2×#10587583—21no—
31C2×#10587583C2211yescharacteristic
32C2×#10587610C2211yescharacteristic
33C2×#10587564—21no—
34C2×#10587632C2211yescharacteristic
35C2×Q8×Dic17C2211yescharacteristic
36C2×C4×Dic34—21no—
37C2×#10587573C2211yescharacteristic
38C2×C4×C22⋊D17C2211yescharacteristic
39C2×#10587567—21no—
40C2×#10587578C2211yescharacteristic
41C22×C4⋊Dic17C2211yescharacteristic
42C2×C4⋊C4×D17C2211yescharacteristic
43#11763206C2218yescomplemented
44#11763148C2218yescomplemented
45#11763141C2218yescomplemented
46#11763140C2218yescomplemented
47#11763103C2218yescomplemented
48#11763092C2218yescomplemented
49#11763066C2218yescomplemented
50#11763065C2218yescomplemented
51#11762901C2218yescomplemented
52#11762884C2218yes—
53#11762852C2218yescomplemented
54#11762850C2218yescomplemented
55C2×#10587478C2211yescharacteristic
56C2×#10587478C2211yescharacteristic
57C2×#10587488C2211yescharacteristic
58C2×#10587488C2211yescharacteristic
59C2×#10587479C2211yescharacteristic
60C2×#10587479C2211yescharacteristic
61C2×#10587479C2211yescharacteristic
62C2×#10587485C2211yescharacteristic
63C2×#10587487C2211yescharacteristic
64C2×#10587487C2211yescharacteristic
65C2×#10587506C2211yescharacteristic
66C2×#10587481C2211yescharacteristic
67C2×#10587491C2211yescharacteristic
68C2×C8×Dic17C2211yescharacteristic
69C2×C17×C22⋊Q8C2211yescharacteristic
70C2×C17×#117C2211yescharacteristic
71C17×#485C2218yescomplemented
72C2×C17×#107C2211yescharacteristic
73C2×C17×#106C2211yescharacteristic
74C2×C17×#103C2211yescharacteristic
75C2×C17×#103C2211yescharacteristic
76C2×C17×C22⋊C8C2211yescharacteristic
77C22×Q8×C17C2311yescharacteristic
78C23×C4×C17C2311yescharacteristic
79C22×C22⋊D17D411yescharacteristic
80C23×Dic17—21no—
81C22×C4×D17—21no—
82C22×C4×D17C2311yescharacteristic
83C22×Dic34—21no—
84C22×Dic34—21no—
85C22×Dic34C2311yescharacteristic
86C22×C8×C17C2311yescharacteristic
87C22×C8×C17C2311yescharacteristic
88C17×C22⋊Q8—22no—
89C17×C22⋊Q8C2314yes—
90C17×#117—22no—
91C17×#117C2314yes—
92C2×C4⋊C4×C17—21no—
93C2×C4⋊C4×C17C2311yescharacteristic
94C2×C4⋊C4×C17C2311yescharacteristic
95C2×C4⋊C4×C17C2311yescharacteristic
96C2×C22⋊C4×C17—21no—
97C2×C22⋊C4×C17—21no—
98C2×C42×C17—21no—
99C2×C22⋊Dic17—21no—
100C2×C22⋊Dic17D411yescharacteristic
101#10587632—22no—
102#10587632C2314yes—
103Q8×Dic17—22no—
104Q8×Dic17C2314yes—
105C2×#63231—24no—
106C2×#63231C2314yes—
107C4×C22⋊D17D414yes—
108C4×C22⋊D17C2314yes—
109C2×#63227—21no—
110C2×#63227—21no—
111C2×#63227—21no—
112C2×#63227D411yescharacteristic
113C2×C4⋊Dic17—22no—
114C2×C4⋊Dic17—21no—
115C2×C4⋊Dic17—21no—
116C2×C4⋊Dic17—21no—
117C2×C4⋊Dic17C2311yescharacteristic
118C2×C4⋊Dic17C2314yes—
119C2×C4⋊Dic17C2311yescharacteristic
120C2×C4⋊Dic17C2311yescharacteristic
121#10587610—22no—
122#10587610C2314yes—
123C2×#63225—21no—
124C2×#63225—21no—
125C2×#63225—21no—
126C2×#63225—21no—
127C2×#63225—21no—
128C2×#63225—21no—
129C2×#63225D411yescharacteristic
130C2×C4×Dic17—21no—
131C2×C4×Dic17—21no—
132C2×C4×Dic17—21no—
133C2×C4×Dic17C2311yescharacteristic
134C2×#63223—24no—
135C2×#63223C2314yes—
136C22×#3622C2311yescharacteristic
137C22×#3622C2311yescharacteristic
138C2×#63218—24no—
139C2×#63218C2314yes—
140#10587583—28no—
141#10587583—22no—
142#10587583C2314yes—
143#10587578—22no—
144#10587578C2314yes—
145C4⋊C4×D17—22no—
146C4⋊C4×D17C2314yes—
147#10587575—28no—
148#10587574—22no—
149#10587574—22no—
150#10587574C2314yes—
151#10587574C2314yes—
152#10587573—22no—
153#10587573C2314yes—
154#10587571—28no—
155#10587567—28no—
156#10587565—28no—
157#10587564—28no—
158#10587562—28no—
159C4×Dic34—28no—
160C17×#107C2314yes—
161C17×#106C2314yes—
162C17×#103C2314yes—
163C17×#103C2314yes—
164C17×C22⋊C8C2314yes—
165#10587506C2314yes—
166#10587491C2314yes—
167#10587488C2314yes—
168#10587488C2314yes—
169#10587487C2314yes—
170#10587487C2314yes—
171#10587485C2314yes—
172C8×Dic17C2314yes—
173#10587481C2314yes—
174#10587479C2314yes—
175#10587479C2314yes—
176#10587479C2314yes—
177#10587478C2314yes—
178#10587478C2314yes—
179C24×C17C2×D411yescharacteristic
180C23×D17C2×D411yescharacteristic
181C2×Q8×C17—21no—
182C2×Q8×C17—22no—
183C2×Q8×C17—22no—
184C2×Q8×C17C2412yes—
185C22×C4×C17—22no—
186C22×C4×C17—22no—
187C22×C4×C17—21no—
188C22×C4×C17—21no—
189C22×C4×C17—21no—
190C22×C4×C17—21no—
191C22×C4×C17C2×D412yes—
192C22×C4×C17C2×D411yescharacteristic
193C22×C4×C17C2412yes—
194C22×C4×C17C2411yescharacteristic
195C2×C22⋊D17—24no—
196C2×C22⋊D17C2×D414yes—
197C22×Dic17—21no—
198C22×Dic17—21no—
199C22×Dic17—21no—
200C22×Dic17—21no—
201C22×Dic17—24no—
202C22×Dic17—82no—
203C22×Dic17C2×D411yescharacteristic
204C22×Dic17C2×D411yescharacteristic
205C22×Dic17C2×D411yescharacteristic
206C2×C4×D17—22no—
207C2×C4×D17—22no—
208C2×C4×D17—24no—
209C2×C4×D17—82no—
210C2×C4×D17C2×D412yes—
211C2×C4×D17C2412yes—
212C2×Dic34—22no—
213C2×Dic34—22no—
214C2×Dic34—21no—
215C2×Dic34—24no—
216C2×Dic34—24no—
217C2×Dic34—44no—
218C2×Dic34—82no—
219C2×Dic34C2412yes—
220C2×C8×C17—22no—
221C2×C8×C17—22no—
222C2×C8×C17C2412yes—
223C2×C8×C17C2412yes—
224C4⋊C4×C17—21no—
225C4⋊C4×C17—24no—
226C4⋊C4×C17—21no—
227C4⋊C4×C17—21no—
228C4⋊C4×C17C2412yes—
229C4⋊C4×C17C2412yes—
230C4⋊C4×C17C2412yes—
231C22⋊C4×C17—24no—
232C22⋊C4×C17—24no—
233C42×C17—24no—
234C22⋊Dic17—24no—
235C22⋊Dic17C2×D414yes—
236#63231—28no—
237#63227—24no—
238#63227—24no—
239#63227—24no—
240#63227C2×D414yes—
241C4⋊Dic17—21no—
242C4⋊Dic17—21no—
243C4⋊Dic17—24no—
244C4⋊Dic17—21no—
245C4⋊Dic17—24no—
246C4⋊Dic17—24no—
247C4⋊Dic17C2412yes—
248C4⋊Dic17C2412yes—
249C4⋊Dic17C2412yes—
250#63225—24no—
251#63225—24no—
252#63225—24no—
253#63225—24no—
254#63225—24no—
255#63225—24no—
256#63225C2×D414yes—
257C4×Dic17—24no—
258C4×Dic17—24no—
259C4×Dic17—24no—
260C4×Dic17C2×D412yes—
261C4×Dic17C2412yes—
262#63223—28no—
263C2×#3622—22no—
264C2×#3622#4114yes—
265C2×#3622C2412yes—
266C2×#3622C2412yes—
267#63218—28no—
268C2×#3356—171nomaximal, Sylow
269C23×C17—22no—
270C23×C17—22no—
271C23×C17—22no—
272C23×C17C22×D412yes—
273C23×C17C22×D411yescharacteristic
274C22×D17—22no—
275C22×D17—22no—
276C22×D17—22no—
277C22×D17C22×D412yes—
278Q8×C17—22no—
279Q8×C17—22no—
280Q8×C17—42no—
281C2×C4×C17—22no—
282C2×C4×C17—24no—
283C2×C4×C17—22no—
284C2×C4×C17—22no—
285C2×C4×C17—22no—
286C2×C4×C17—22no—
287C2×C4×C17—22no—
288C2×C4×C17—22no—
289C2×C4×C17—42no—
290C2×C4×C17—42no—
291C2×C4×C17—42no—
292C2×C4×C17—42no—
293C2×C4×C17C22×D412yes—
294C2×C4×C17C22×D411yescharacteristic
295C2×C4×C17C2×#4112yes—
296C2×C4×C172−1+412yes—
297C2×C4×C17C2511yescharacteristic
298C22⋊D17—28no—
299C2×Dic17—22no—
300C2×Dic17—22no—
301C2×Dic17—22no—
302C2×Dic17—22no—
303C2×Dic17—22no—
304C2×Dic17—22no—
305C2×Dic17—42no—
306C2×Dic17—42no—
307C2×Dic17—42no—
308C2×Dic17—42no—
309C2×Dic17—84no—
310C2×Dic17#13714yes—
311C2×Dic17C22×D412yes—
312C2×Dic17C22×D412yes—
313C2×Dic17C22×D412yes—
314C4×D17—24no—
315C4×D17—22no—
316C4×D17—22no—
317C4×D17—84no—
318Dic34—22no—
319Dic34—22no—
320Dic34—42no—
321Dic34—48no—
322Dic34—84no—
323C8×C17—22no—
324C8×C17—22no—
325#3622—22no—
326#3622C2×#4114yes—
327C2×#556—171no—
328C2×#554—171no—
329#3356—1716no—
330C2×#498—171no—
331C2×#485—171no—
332C2×#485D1711yescharacteristic, complemented
333C2×#483—171no—
334C2×#483—171no—
335C2×#477—171no—
336C2×#475—171no—
337C2×#470—171no—
338C2×#470—171no—
339C2×C4×Q16—171no—
340C2×#436—171no—
341C2×#428—171no—
342C2×#428—171no—
343C22×C17—22no—
344C22×C17—22no—
345C22×C17—22no—
346C22×C17—44no—
347C22×C17#54712yes—
348C22×C17C2×#13712yes—
349C22×C17#57712yes—
350C22×C17C23×D411yescharacteristic
351C2×D17—22no—
352C2×D17—22no—
353C2×D17—22no—
354C2×D17—44no—
355C4×C17—22no—
356C4×C17—42no—
357C4×C17—42no—
358C4×C17—42no—
359C4×C17—42no—
360C4×C17#54712yes—
361C4×C17C22×#4111yescharacteristic
362C4×C17C2×2−1+411yescharacteristic
363Dic17—22no—
364Dic17—22no—
365Dic17—42no—
366Dic17—42no—
367Dic17—42no—
368Dic17—42no—
369Dic17C2×#13714yes—
370C22×Q16—171no—
371C22×M16—171no—
372C22×M16—171no—
373#556—178no—
374#556—344no—
375#554—178no—
376#554—344no—
377C2×C4⋊Q8—171no—
378C2×C4⋊Q8—171no—
379C2×#126—341no—
380C2×#126—341no—
381C2×#125—341no—
382C2×#124—341no—
383C2×C22⋊Q8—171no—
384C2×C22⋊Q8—171no—
385C2×C22⋊Q8—171no—
386C2×C22⋊Q8—341no—
387C2×C22⋊Q8—341no—
388C2×C22⋊Q8C2×D1711yescharacteristic
389C2×C4×Q8—171no—
390C2×C4×Q8—171no—
391C2×C4×Q8—341no—
392C2×C4×D4—171no—
393C2×C4×D4—341no—
394C2×#117—171no—
395C2×#117C2×D1711yescharacteristic
396C22×C4⋊C4—171no—
397C22×C4⋊C4—171no—
398#498—178no—
399#485—178no—
400#485C2×D1718yescomplemented
401#483—178no—
402#483—178no—
403#477—178no—
404#475—178no—
405#470—178no—
406#470—178no—
407C4×Q16—178no—
408#436—178no—
409#428—178no—
410#428—178no—
411C2×#107—171no—
412C2×#107—171no—
413C2×#107C2×D1711yescharacteristic
414C2×#106—171no—
415C2×#106—171no—
416C2×#106—171no—
417C2×#106—171no—
418C2×#106—171no—
419C2×#106C2×D1711yescharacteristic
420C2×C4⋊C8—171no—
421C2×#103—171no—
422C2×#103—171no—
423C2×#103—171no—
424C2×#103—171no—
425C2×#103C2×D1711yescharacteristic
426C2×#103C2×D1711yescharacteristic
427C2×C22⋊C8—171no—
428C2×C22⋊C8C2×D1711yescharacteristic
429C2×C4×C8—171no—
430C2×C17—42no—
431C2×C17#335614yescomplemented
432C2×C17C2×#54711yescharacteristic
433C2×C17C22×#13711yescharacteristic
434C2×C17C2×#57711yescharacteristic
435D17—42no—
436C22×Q8—171no—
437C22×Q8—341no—
438C22×Q8—341no—
439C22×Q8C22×D1711yescharacteristic
440C22×D4—171no—
441C23×C4—171no—
442C23×C4—341no—
443C23×C4—341no—
444C23×C4C22×D1711yescharacteristic
445C2×Q16—174no—
446C2×Q16—344no—
447C2×M16—174no—
448C2×M16—174no—
449C2×M16—344no—
450C2×M16—344no—
451C22×C8—171no—
452C22×C8—171no—
453C22×C8C22×D1711yescharacteristic
454C22×C8C22×D1711yescharacteristic
455C4⋊Q8—174no—
456C4⋊Q8—174no—
457C4⋊Q8—342no—
458C4⋊Q8—342no—
459#126—348no—
460#126—348no—
461#125—348no—
462#124—348no—
463C22⋊Q8—22no—
464C22⋊Q8—174no—
465C22⋊Q8—174no—
466C22⋊Q8—174no—
467C22⋊Q8—348no—
468C22⋊Q8—348no—
469C22⋊Q8—342no—
470C22⋊Q8—342no—
471C22⋊Q8—342no—
472C22⋊Q8C22×D1714yes—
473C4×Q8—174no—
474C4×Q8—174no—
475C4×Q8—348no—
476C4×Q8—342no—
477C4×Q8—342no—
478C4×D4—174no—
479C4×D4—174no—
480C4×D4—348no—
481#117—22no—
482#117—174no—
483#117—342no—
484#117C22×D1714yes—
485C2×C4⋊C4—21no—
486C2×C4⋊C4—171no—
487C2×C4⋊C4—171no—
488C2×C4⋊C4—171no—
489C2×C4⋊C4—174no—
490C2×C4⋊C4—171no—
491C2×C4⋊C4—174no—
492C2×C4⋊C4—342no—
493C2×C4⋊C4—341no—
494C2×C4⋊C4—341no—
495C2×C4⋊C4—341no—
496C2×C4⋊C4—341no—
497C2×C4⋊C4—341no—
498C2×C4⋊C4—341no—
499C2×C4⋊C4—341no—
500C2×C4⋊C4—341no—
501C2×C4⋊C4—342no—
502C2×C4⋊C4—341no—
503C2×C4⋊C4C22×D1711yescharacteristic
504C2×C4⋊C4C22×D1711yescharacteristic
505C2×C4⋊C4C22×D1711yescharacteristic
506C2×C22⋊C4—21no—
507C2×C22⋊C4—21no—
508C2×C22⋊C4—171no—
509C2×C22⋊C4—171no—
510C2×C22⋊C4—341no—
511C2×C22⋊C4—341no—
512C2×C22⋊C4—341no—
513C2×C22⋊C4—341no—
514C2×C42—21no—
515C2×C42—171no—
516C2×C42—341no—
517C2×C42—341no—
518C2×C42—341no—
519#107—174no—
520#107—174no—
521#107C22×D1714yes—
522#106—174no—
523#106—174no—
524#106—174no—
525#106—174no—
526#106—174no—
527#106C22×D1714yes—
528C4⋊C8—174no—
529#103—174no—
530#103—174no—
531#103—174no—
532#103—174no—
533#103C22×D1714yes—
534#103C22×D1714yes—
535C22⋊C8—174no—
536C22⋊C8C22×D1714yes—
537C4×C8—174no—
538C17C2×#335611yescharacteristic, complemented, Sylow
539C24—171no—
540C24D4×D1711yescharacteristic
541C2×Q8—21no—
542C2×Q8—22no—
543C2×Q8—22no—
544C2×Q8—172no—
545C2×Q8—344no—
546C2×Q8—344no—
547C2×Q8—341no—
548C2×Q8—342no—
549C2×Q8—342no—
550C2×Q8—684no—
551C2×Q8—1362no—
552C2×Q8C23×D1712yes—
553C2×D4—174no—
554C2×D4—344no—
555C22×C4—22no—
556C22×C4—22no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—171no—
562C22×C4—171no—
563C22×C4—171no—
564C22×C4—172no—
565C22×C4—172no—
566C22×C4—344no—
567C22×C4—342no—
568C22×C4—342no—
569C22×C4—341no—
570C22×C4—341no—
571C22×C4—341no—
572C22×C4—341no—
573C22×C4—344no—
574C22×C4—1362no—
575C22×C4—1362no—
576C22×C4D4×D1712yes—
577C22×C4D4×D1711yescharacteristic
578C22×C4C23×D1712yes—
579C22×C4C23×D1711yescharacteristic
580Q16—348no—
581M16—348no—
582M16—348no—
583C2×C8—22no—
584C2×C8—22no—
585C2×C8—174no—
586C2×C8—172no—
587C2×C8—172no—
588C2×C8—342no—
589C2×C8C23×D1712yes—
590C2×C8C23×D1712yes—
591C4⋊C4—24no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—174no—
596C4⋊C4—172no—
597C4⋊C4—172no—
598C4⋊C4—172no—
599C4⋊C4—344no—
600C4⋊C4—344no—
601C4⋊C4—344no—
602C4⋊C4—344no—
603C4⋊C4—344no—
604C4⋊C4—344no—
605C4⋊C4—344no—
606C4⋊C4—341no—
607C4⋊C4—344no—
608C4⋊C4—341no—
609C4⋊C4—341no—
610C4⋊C4—344no—
611C4⋊C4C23×D1712yes—
612C4⋊C4C23×D1712yes—
613C4⋊C4C23×D1712yes—
614C22⋊C4—24no—
615C22⋊C4—24no—
616C22⋊C4—174no—
617C22⋊C4—174no—
618C22⋊C4—344no—
619C22⋊C4—344no—
620C22⋊C4—344no—
621C22⋊C4—344no—
622C42—24no—
623C42—172no—
624C42—172no—
625C42—344no—
626C42—344no—
627C42—344no—
628C23—22no—
629C23—22no—
630C23—22no—
631C23—172no—
632C23—342no—
633C23—342no—
634C23—342no—
635C23C2×D4×D1712yes—
636C23C2×D4×D1711yescharacteristic
637Q8—22no—
638Q8—22no—
639Q8—42no—
640Q8—342no—
641Q8—342no—
642Q8—688no—
643Q8—682no—
644Q8—1364no—
645D4—348no—
646C2×C4—22no—
647C2×C4—24no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—174no—
659C2×C4—172no—
660C2×C4—172no—
661C2×C4—172no—
662C2×C4—342no—
663C2×C4—342no—
664C2×C4—344no—
665C2×C4—342no—
666C2×C4—342no—
667C2×C4—342no—
668C2×C4—342no—
669C2×C4—342no—
670C2×C4—342no—
671C2×C4—682no—
672C2×C4—682no—
673C2×C4—682no—
674C2×C4—682no—
675C2×C4—1364no—
676C2×C4—1364no—
677C2×C4C2×D4×D1712yes—
678C2×C4C2×D4×D1711yescharacteristic
679C2×C4#41×D1712yes—
680C2×C4#1058769712yes—
681C2×C4C24×D1711yescharacteristic
682C8—22no—
683C8—22no—
684C8—174no—
685C8—342no—
686C22—22no—
687C22—22no—
688C22—22no—
689C22—44no—
690C22—342no—
691C22—342no—
692C22—342no—
693C22—684no—
694C22#1176345712yes—
695C22#137×D1712yes—
696C22#1176361612yes—
697C22C22×D4×D1711yescharacteristic
698C4—22no—
699C4—42no—
700C4—42no—
701C4—42no—
702C4—42no—
703C4—174no—
704C4—342no—
705C4—342no—
706C4—682no—
707C4—682no—
708C4—682no—
709C4—682no—
710C4#1176345712yes—
711C4C2×#41×D1711yescharacteristic
712C4C2×#1058769711yescharacteristic
713C2—42no—
714C2—682no—
715C2#1454139714yesdirect product factor
716C2C2×#1176345711yescharacteristic
717C2C2×#137×D1711yescharacteristic
718C2C2×#1176361611yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC2×C17×#485C2
socleC23×C17C22×D4
prime radicalC22×C22⋊D17D4
hypercenterC2×#485D17
hypocenterC17C2×#3356
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#485

Complements

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

NH ≅ G/Ntype
3. #14541397C2direct (N × H)
4. C2×#11763206C2semidirect
5. C2×#11763148C2semidirect
6. C2×#11763141C2semidirect
7. C2×#11763140C2semidirect
8. C2×#11763103C2semidirect
9. C2×#11763092C2semidirect
10. C2×#11763066C2semidirect
11. C2×#11763065C2semidirect
12. C2×#11762901C2semidirect
14. C2×#11762852C2semidirect
15. C2×#11762850C2semidirect
16. C2×C17×#485C2semidirect
43. #11763206C22semidirect
44. #11763148C22semidirect
45. #11763141C22semidirect
46. #11763140C22semidirect
47. #11763103C22semidirect
48. #11763092C22semidirect
49. #11763066C22semidirect
50. #11763065C22semidirect
51. #11762901C22semidirect
53. #11762852C22semidirect
54. #11762850C22semidirect
71. C17×#485C22semidirect
332. C2×#485D17semidirect
400. #485C2×D17semidirect
431. C2×C17#3356semidirect
538. C17C2×#3356semidirect
715. C2#14541397direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117635272
C2×#117635172
#145413972
C2×#117632062
C2×#117631482
C2×#117631412
C2×#117631402
C2×#117631032
C2×#117630922
C2×#117630662
C2×#117630652
C2×#117629012
C2×#117628842
C2×#117628522
C2×#117628502
C2×C17×#4852
C2×#335617