Finite Group Databasebeta

← C2×#14541725 #17914847

Subgroups — C2×#14541725 #17914847

Order 4352.

1822 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763535C211yesmaximal, characteristic, complemented
2C2×#11763518C211yesmaximal, characteristic
3#14541725C2116yesmaximal, direct product factor
4C2×#11763216C211yesmaximal, characteristic, complemented
5C2×#11763216C211yesmaximal, characteristic, complemented
6C2×#11763211C211yesmaximal, characteristic, complemented
7C2×#11763116C211yesmaximal, characteristic, complemented
8C2×#11763114C211yesmaximal, characteristic, complemented
9C2×#11763092C211yesmaximal, characteristic, complemented
10C2×#11763111C211yesmaximal, characteristic
11C2×#11763109C211yesmaximal, characteristic
12C2×#11763097C211yesmaximal, characteristic
13C2×#11762939C211yesmaximal, characteristic, complemented
14C2×#11762910C211yesmaximal, characteristic
15C2×#11762910C211yesmaximal, characteristic
16C2×C4×SD16×C17C211yesmaximal, characteristic
17#11763535—24no—
18#11763535C2218yescomplemented
19#11763518—24no—
20#11763518C2218yes—
21C2×#10587574—21no—
22C2×#10587574C2211yescharacteristic
23C2×#10587574C2211yescharacteristic
24C2×#10587556—21no—
25C2×#10587556C2211yescharacteristic
26C2×#10587556C2211yescharacteristic
27C2×#10587576—21no—
28C2×#10587576C2211yescharacteristic
29C2×#10587576C2211yescharacteristic
30C2×#10587610—21no—
31C2×#10587564—21no—
32C2×#10587564—21no—
33C2×Q8×Dic17C2211yescharacteristic
34C2×Q8×Dic17C2211yescharacteristic
35C2×C4×Dic34—21no—
36C2×C4×Dic34C2211yescharacteristic
37C2×D4×Dic17C2211yescharacteristic
38C2×D4×Dic17C2211yescharacteristic
39C22×#63225—21no—
40#11763216C2218yescomplemented
41#11763216C2218yescomplemented
42#11763211C2218yescomplemented
43#11763116C2218yescomplemented
44#11763114C2218yescomplemented
45#11763111C2218yes—
46#11763109C2218yes—
47#11763097C2218yes—
48#11763092C2218yescomplemented
49#11762939C2218yescomplemented
50#11762910C2218yes—
51#11762910C2218yes—
52C2×#10587489C2211yescharacteristic
53C2×#10587489C2211yescharacteristic
54C2×#10587478C2211yescharacteristic
55C2×#10587478C2211yescharacteristic
56C2×#10587488C2211yescharacteristic
57C2×#10587488C2211yescharacteristic
58C2×#10587479C2211yescharacteristic
59C2×#10587479C2211yescharacteristic
60C2×C4⋊#3622C2211yescharacteristic
61C2×#10587485C2211yescharacteristic
62C2×#10587485C2211yescharacteristic
63C2×#10587506C2211yescharacteristic
64C2×#10587506C2211yescharacteristic
65C2×#10587503C2211yescharacteristic
66C2×#10587503C2211yescharacteristic
67C2×#10587486C2211yescharacteristic
68C2×#10587486C2211yescharacteristic
69C22×SD16×C17C2211yescharacteristic
70C2×C4×Q8×C17C2211yescharacteristic
71C2×C4×D4×C17C2211yescharacteristic
72C4×SD16×C17C2218yes—
73C2×C17×#106C2211yescharacteristic
74C2×C17×#103C2211yescharacteristic
75C2×C17×#102C2211yescharacteristic
76C2×C4×C8×C17C2211yescharacteristic
77C22×Q8×C17C2311yescharacteristic
78C22×D4×C17C2311yescharacteristic
79C23×C4×C17—21no—
80C23×Dic17—21no—
81C23×Dic17—21no—
82C22×Dic34—21no—
83C22×Dic34—21no—
84C22×Dic34D411yescharacteristic
85C2×SD16×C17Q818yescomplemented
86C2×SD16×C17C2314yes—
87C22×C8×C17C2311yescharacteristic
88C22×C8×C17C2311yescharacteristic
89C4×Q8×C17—22no—
90C4×Q8×C17C2314yes—
91C4×D4×C17—22no—
92C4×D4×C17C2314yes—
93C2×C4⋊C4×C17—21no—
94C2×C4⋊C4×C17C2311yescharacteristic
95C2×C4⋊C4×C17C2311yescharacteristic
96C2×C22⋊C4×C17—21no—
97C2×C42×C17—21no—
98C2×C42×C17C2311yescharacteristic
99C2×C22⋊Dic17—21no—
100C2×C22⋊Dic17—21no—
101Q8×Dic17—22no—
102Q8×Dic17—22no—
103Q8×Dic17C2314yes—
104Q8×Dic17C2314yes—
105D4×Dic17—22no—
106D4×Dic17—22no—
107D4×Dic17C2314yes—
108D4×Dic17C2314yes—
109C2×C4⋊Dic17—21no—
110C2×C4⋊Dic17—21no—
111C2×C4⋊Dic17—21no—
112C2×C4⋊Dic17—21no—
113C2×C4⋊Dic17D411yescharacteristic
114C2×C4⋊Dic17C2311yescharacteristic
115C2×C4⋊Dic17C2311yescharacteristic
116C2×C4⋊Dic17C2311yescharacteristic
117C2×C4⋊Dic17C2311yescharacteristic
118#10587610—28no—
119C2×#63225—28no—
120C2×#63225—21no—
121C2×#63225—21no—
122C2×#63225—21no—
123C2×#63225—21no—
124C2×#63225—21no—
125C2×#63225—21no—
126C2×#63225—21no—
127C2×#63225—21no—
128C2×#63225D411yescharacteristic
129C2×#63225D411yescharacteristic
130C2×C4×Dic17—21no—
131C2×C4×Dic17—21no—
132C2×C4×Dic17C2311yescharacteristic
133C2×C4×Dic17C2311yescharacteristic
134C22×#3622C2311yescharacteristic
135C22×#3622C2311yescharacteristic
136#10587576—28no—
137#10587576—22no—
138#10587576—22no—
139#10587576C2314yes—
140#10587576C2314yes—
141#10587574—22no—
142#10587574—22no—
143#10587574—28no—
144#10587574C2314yes—
145#10587574C2314yes—
146#10587564—28no—
147#10587564—28no—
148#10587556—28no—
149#10587556—22no—
150#10587556—22no—
151#10587556C2314yes—
152#10587556C2314yes—
153C4×Dic34—28no—
154C4×Dic34D414yes—
155C4×Dic34C2314yes—
156C17×#106C2314yes—
157C17×#103C2314yes—
158C17×#102C2314yes—
159C4×C8×C17C2314yes—
160#10587506C2314yes—
161#10587506C2314yes—
162#10587503C2314yes—
163#10587503C2314yes—
164#10587489C2314yes—
165#10587489C2314yes—
166#10587488C2314yes—
167#10587488C2314yes—
168#10587486C2314yes—
169#10587486C2314yes—
170#10587485C2314yes—
171#10587485C2314yes—
172#10587479C2314yes—
173#10587479C2314yes—
174#10587478C2314yes—
175#10587478C2314yes—
176C4⋊#3622C2314yes—
177C24×C17—21no—
178C2×Q8×C17—21no—
179C2×Q8×C17—22no—
180C2×Q8×C17C2×Q814yes—
181C2×Q8×C17C2412yes—
182C2×D4×C17—21no—
183C2×D4×C17—22no—
184C2×D4×C17C2×Q814yes—
185C2×D4×C17C2412yes—
186C22×C4×C17—21no—
187C22×C4×C17—21no—
188C22×C4×C17—21no—
189C22×C4×C17—24no—
190C22×C4×C17—82no—
191C22×C4×C17C2×D411yescharacteristic
192C22×C4×C17C2×D411yescharacteristic
193C22×C4×C17C2411yescharacteristic
194C22×Dic17—21no—
195C22×Dic17—21no—
196C22×Dic17—21no—
197C22×Dic17—21no—
198C22×Dic17—24no—
199C22×Dic17—24no—
200C22×Dic17—44no—
201C22×Dic17—82no—
202C22×Dic17C2×D411yescharacteristic
203C22×Dic17C2×D411yescharacteristic
204C22×Dic17C2×D411yescharacteristic
205C22×Dic17C2×D411yescharacteristic
206C2×Dic34—24no—
207C2×Dic34—24no—
208C2×Dic34—42no—
209C2×Dic34—44no—
210C2×Dic34—82no—
211C2×Dic34C2×D414yes—
212SD16×C17C2×Q8116yescomplemented
213C2×C8×C17—22no—
214C2×C8×C17C2×Q814yes—
215C2×C8×C17C2412yes—
216C2×C8×C17C2412yes—
217C4⋊C4×C17—24no—
218C4⋊C4×C17—21no—
219C4⋊C4×C17—21no—
220C4⋊C4×C17C2412yes—
221C4⋊C4×C17C2412yes—
222C22⋊C4×C17—24no—
223C42×C17—24no—
224C42×C17C2×D412yes—
225C42×C17C2412yes—
226C22⋊Dic17—24no—
227C22⋊Dic17—24no—
228C4⋊Dic17—21no—
229C4⋊Dic17—21no—
230C4⋊Dic17—21no—
231C4⋊Dic17—21no—
232C4⋊Dic17—24no—
233C4⋊Dic17—24no—
234C4⋊Dic17—24no—
235C4⋊Dic17—24no—
236C4⋊Dic17C2×D414yes—
237C4⋊Dic17C2412yes—
238C4⋊Dic17C2412yes—
239C4⋊Dic17C2412yes—
240C4⋊Dic17C2412yes—
241#63225—24no—
242#63225—24no—
243#63225—24no—
244#63225—24no—
245#63225—24no—
246#63225—24no—
247#63225—24no—
248#63225—24no—
249#63225C2×D414yes—
250#63225C2×D414yes—
251C4×Dic17—24no—
252C4×Dic17—24no—
253C4×Dic17C2×D412yes—
254C4×Dic17C2×D412yes—
255C4×Dic17C2412yes—
256C4×Dic17C2412yes—
257C2×#3622—22no—
258C2×#3622—22no—
259C2×#3622C2412yes—
260C2×#3622C2412yes—
261C2×#3388—171nomaximal, Sylow
262C23×C17—24no—
263C23×C17—22no—
264C23×C17—42no—
265C23×C17—42no—
266C23×C17C22×D411yescharacteristic
267Q8×C17—24no—
268Q8×C17—22no—
269Q8×C17C22×Q814yes—
270D4×C17—24no—
271D4×C17—22no—
272D4×C17C22×Q814yes—
273C2×C4×C17—24no—
274C2×C4×C17—22no—
275C2×C4×C17—22no—
276C2×C4×C17—22no—
277C2×C4×C17—22no—
278C2×C4×C17—22no—
279C2×C4×C17—42no—
280C2×C4×C17—42no—
281C2×C4×C17—84no—
282C2×C4×C17C22×D412yes—
283C2×C4×C17C22×D412yes—
284C2×C4×C17C22×D411yescharacteristic
285C2×C4×C17C22×Q812yes—
286C2×C4×C172−1+412yes—
287C2×C4×C17C2511yescharacteristic
288C2×Dic17—22no—
289C2×Dic17—22no—
290C2×Dic17—22no—
291C2×Dic17—22no—
292C2×Dic17—22no—
293C2×Dic17—22no—
294C2×Dic17—22no—
295C2×Dic17—22no—
296C2×Dic17—48no—
297C2×Dic17—42no—
298C2×Dic17—42no—
299C2×Dic17—42no—
300C2×Dic17—42no—
301C2×Dic17—84no—
302C2×Dic17C22×D412yes—
303C2×Dic17C22×D412yes—
304C2×Dic17C22×D412yes—
305C2×Dic17C22×D412yes—
306Dic34—44no—
307Dic34—48no—
308Dic34—84no—
309C8×C17—22no—
310C8×C17C22×Q814yes—
311#3622—22no—
312#3622—22no—
313C2×#557—171no—
314C2×#554—171no—
315#3388—1716no—
316C2×#501—171no—
317C2×#501—171no—
318C2×#499—171no—
319C2×#479—171no—
320C2×#479—171no—
321C2×#475—171no—
322C2×#478—171no—
323C2×#478—171no—
324C2×#476—171no—
325C2×#446—171no—
326C2×#440—171no—
327C2×#440—171no—
328C2×C4×SD16D1711yescharacteristic
329C22×C17—24no—
330C22×C17—48no—
331C22×C17—42no—
332C22×C17—42no—
333C22×C17D4×Q812yes—
334C22×C17#57512yes—
335C22×C17#57712yes—
336C22×C17C23×D411yescharacteristic
337C4×C17—24no—
338C4×C17—22no—
339C4×C17—22no—
340C4×C17—42no—
341C4×C17—42no—
342C4×C17D4×Q812yes—
343C4×C17C23×Q811yescharacteristic
344C4×C17C2×2−1+411yescharacteristic
345Dic17—22no—
346Dic17—22no—
347Dic17—22no—
348Dic17—22no—
349Dic17—42no—
350Dic17—42no—
351Dic17—42no—
352Dic17—42no—
353C22×SD16C2×D1711yescharacteristic
354#557—178no—
355#557—344no—
356#554—178no—
357#554—344no—
358C2×C4⋊Q8—171no—
359C2×C4⋊Q8—171no—
360C2×C4⋊Q8—341no—
361C2×#125—171no—
362C2×#125—171no—
363C2×#125—171no—
364C2×#125—171no—
365C2×#125—341no—
366C2×#125—341no—
367C2×C22⋊Q8—341no—
368C2×C22⋊Q8—341no—
369C2×C22⋊Q8—341no—
370C2×C4×Q8—171no—
371C2×C4×Q8—171no—
372C2×C4×Q8—171no—
373C2×C4×Q8—341no—
374C2×C4×Q8C2×D1711yescharacteristic
375C2×C4×D4—171no—
376C2×C4×D4—171no—
377C2×C4×D4C2×D1711yescharacteristic
378C22×C4⋊C4—341no—
379#501—178no—
380#501—178no—
381#499—178no—
382#479—178no—
383#479—178no—
384#478—178no—
385#478—178no—
386#476—178no—
387#475—178no—
388#446—178no—
389#440—178no—
390#440—178no—
391C4×SD16C2×D1718yes—
392C2×#107—171no—
393C2×#107—171no—
394C2×#107—171no—
395C2×#107—171no—
396C2×#106—171no—
397C2×#106—171no—
398C2×#106—171no—
399C2×#106—171no—
400C2×#106C2×D1711yescharacteristic
401C2×C4⋊C8—171no—
402C2×C4⋊C8—171no—
403C2×C4⋊C8—171no—
404C2×#103—171no—
405C2×#103—171no—
406C2×#103C2×D1711yescharacteristic
407C2×#102—171no—
408C2×#102—171no—
409C2×#102C2×D1711yescharacteristic
410C2×#97—171no—
411C2×#97—171no—
412C2×C4×C8C2×D1711yescharacteristic
413C2×C17—44no—
414C2×C17#338814yescomplemented
415C2×C17C2×D4×Q811yescharacteristic
416C2×C17C2×#57511yescharacteristic
417C2×C17C2×#57711yescharacteristic
418C22×Q8—171no—
419C22×Q8—341no—
420C22×Q8—341no—
421C22×Q8C22×D1711yescharacteristic
422C22×D4C22×D1711yescharacteristic
423C23×C4—21no—
424C23×C4—341no—
425C23×C4—341no—
426C2×SD16Dic3418yescomplemented
427C2×SD16C22×D1714yes—
428C22×C8—171no—
429C22×C8—171no—
430C22×C8C22×D1711yescharacteristic
431C22×C8C22×D1711yescharacteristic
432C4⋊Q8—174no—
433C4⋊Q8—174no—
434C4⋊Q8—342no—
435C4⋊Q8—342no—
436C4⋊Q8—348no—
437#125—174no—
438#125—174no—
439#125—174no—
440#125—174no—
441#125—348no—
442#125—342no—
443#125—342no—
444#125—348no—
445#125—342no—
446#125—342no—
447C22⋊Q8—348no—
448C22⋊Q8—348no—
449C22⋊Q8—348no—
450C4×Q8—22no—
451C4×Q8—174no—
452C4×Q8—174no—
453C4×Q8—174no—
454C4×Q8—174no—
455C4×Q8—348no—
456C4×Q8—342no—
457C4×Q8—342no—
458C4×Q8C22×D1714yes—
459C4×D4—22no—
460C4×D4—174no—
461C4×D4—174no—
462C4×D4—342no—
463C4×D4—342no—
464C4×D4C22×D1714yes—
465C2×C4⋊C4—21no—
466C2×C4⋊C4—171no—
467C2×C4⋊C4—171no—
468C2×C4⋊C4—171no—
469C2×C4⋊C4—171no—
470C2×C4⋊C4—171no—
471C2×C4⋊C4—171no—
472C2×C4⋊C4—171no—
473C2×C4⋊C4—348no—
474C2×C4⋊C4—341no—
475C2×C4⋊C4—341no—
476C2×C4⋊C4—341no—
477C2×C4⋊C4—341no—
478C2×C4⋊C4—341no—
479C2×C4⋊C4—341no—
480C2×C4⋊C4—341no—
481C2×C4⋊C4—341no—
482C2×C4⋊C4—341no—
483C2×C4⋊C4—341no—
484C2×C4⋊C4—341no—
485C2×C4⋊C4—341no—
486C2×C4⋊C4C22×D1711yescharacteristic
487C2×C4⋊C4C22×D1711yescharacteristic
488C2×C22⋊C4—21no—
489C2×C22⋊C4—341no—
490C2×C22⋊C4—341no—
491C2×C42—21no—
492C2×C42—171no—
493C2×C42—171no—
494C2×C42—341no—
495C2×C42—341no—
496C2×C42C22×D1711yescharacteristic
497#107—174no—
498#107—174no—
499#107—174no—
500#107—174no—
501#106—174no—
502#106—174no—
503#106—174no—
504#106—174no—
505#106C22×D1714yes—
506C4⋊C8—174no—
507C4⋊C8—174no—
508C4⋊C8—174no—
509#103—174no—
510#103—174no—
511#103C22×D1714yes—
512#102—174no—
513#102—174no—
514#102C22×D1714yes—
515#97—174no—
516#97—174no—
517C4×C8C22×D1714yes—
518C17C2×#338811yescharacteristic, complemented, Sylow
519C24—21no—
520C2×Q8—21no—
521C2×Q8—22no—
522C2×Q8—174no—
523C2×Q8—344no—
524C2×Q8—344no—
525C2×Q8—682no—
526C2×Q8—684no—
527C2×Q8—1362no—
528C2×Q8C2×Dic3414yes—
529C2×Q8C23×D1712yes—
530C2×D4—21no—
531C2×D4—22no—
532C2×D4C2×Dic3414yes—
533C2×D4C23×D1712yes—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—24no—
538C22×C4—82no—
539C22×C4—171no—
540C22×C4—171no—
541C22×C4—171no—
542C22×C4—171no—
543C22×C4—344no—
544C22×C4—344no—
545C22×C4—341no—
546C22×C4—341no—
547C22×C4—341no—
548C22×C4—341no—
549C22×C4—684no—
550C22×C4—1362no—
551C22×C4D4×D1711yescharacteristic
552C22×C4D4×D1711yescharacteristic
553C22×C4C23×D1711yescharacteristic
554SD16C2×Dic34116yescomplemented
555C2×C8—22no—
556C2×C8—172no—
557C2×C8—172no—
558C2×C8—342no—
559C2×C8—342no—
560C2×C8C2×Dic3414yes—
561C2×C8C23×D1712yes—
562C2×C8C23×D1712yes—
563C4⋊C4—24no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—174no—
567C4⋊C4—174no—
568C4⋊C4—174no—
569C4⋊C4—172no—
570C4⋊C4—172no—
571C4⋊C4—172no—
572C4⋊C4—172no—
573C4⋊C4—344no—
574C4⋊C4—344no—
575C4⋊C4—344no—
576C4⋊C4—344no—
577C4⋊C4—344no—
578C4⋊C4—344no—
579C4⋊C4—344no—
580C4⋊C4—344no—
581C4⋊C4—341no—
582C4⋊C4—341no—
583C4⋊C4—341no—
584C4⋊C4—341no—
585C4⋊C4—344no—
586C4⋊C4—344no—
587C4⋊C4—344no—
588C4⋊C4—344no—
589C4⋊C4C23×D1712yes—
590C4⋊C4C23×D1712yes—
591C22⋊C4—24no—
592C22⋊C4—344no—
593C22⋊C4—344no—
594C42—24no—
595C42—172no—
596C42—172no—
597C42—172no—
598C42—172no—
599C42—344no—
600C42—344no—
601C42D4×D1712yes—
602C42C23×D1712yes—
603C23—24no—
604C23—22no—
605C23—42no—
606C23—42no—
607C23C2×D4×D1711yescharacteristic
608Q8—24no—
609Q8—22no—
610Q8—684no—
611Q8—688no—
612Q8—1364no—
613Q8C22×Dic3414yes—
614D4—24no—
615D4—22no—
616D4C22×Dic3414yes—
617C2×C4—24no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—84no—
626C2×C4—172no—
627C2×C4—172no—
628C2×C4—172no—
629C2×C4—172no—
630C2×C4—342no—
631C2×C4—342no—
632C2×C4—342no—
633C2×C4—342no—
634C2×C4—342no—
635C2×C4—342no—
636C2×C4—342no—
637C2×C4—342no—
638C2×C4—688no—
639C2×C4—682no—
640C2×C4—682no—
641C2×C4—682no—
642C2×C4—682no—
643C2×C4—1364no—
644C2×C4C22×Dic3412yes—
645C2×C4C2×D4×D1712yes—
646C2×C4C2×D4×D1712yes—
647C2×C4C2×D4×D1711yescharacteristic
648C2×C4#1058769712yes—
649C2×C4C24×D1711yescharacteristic
650C8—22no—
651C8—342no—
652C8—342no—
653C8C22×Dic3414yes—
654C22—24no—
655C22—48no—
656C22—42no—
657C22—42no—
658C22D4×Dic3412yes—
659C22#1176360612yes—
660C22#1176361512yes—
661C22C22×D4×D1711yescharacteristic
662C4—22no—
663C4—24no—
664C4—22no—
665C4—42no—
666C4—42no—
667C4—342no—
668C4—342no—
669C4—342no—
670C4—342no—
671C4—682no—
672C4—682no—
673C4—682no—
674C4—682no—
675C4D4×Dic3412yes—
676C4C23×Dic3411yescharacteristic
677C4C2×#1058769711yescharacteristic
678C2—44no—
679C2#1454172514yesdirect product factor
680C2C2×D4×Dic3411yescharacteristic
681C2C2×#1176360611yescharacteristic
682C2C2×#1176361511yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC2×C4×SD16×C17C2
socleC23×C17C22×D4
prime radicalC22×D4×C17C23
hypercenterC2×C4×SD16D17
hypocenterC17C2×#3388
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C4×SD16

Complements

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

NH ≅ G/Ntype
1. C2×#11763535C2semidirect
3. #14541725C2direct (N × H)
4. C2×#11763216C2semidirect
5. C2×#11763216C2semidirect
6. C2×#11763211C2semidirect
7. C2×#11763116C2semidirect
8. C2×#11763114C2semidirect
9. C2×#11763092C2semidirect
13. C2×#11762939C2semidirect
18. #11763535C22semidirect
40. #11763216C22semidirect
41. #11763216C22semidirect
42. #11763211C22semidirect
43. #11763116C22semidirect
44. #11763114C22semidirect
48. #11763092C22semidirect
49. #11762939C22semidirect
85. C2×SD16×C17Q8semidirect
212. SD16×C17C2×Q8semidirect
414. C2×C17#3388semidirect
426. C2×SD16Dic34semidirect
518. C17C2×#3388semidirect
554. SD16C2×Dic34semidirect
679. C2#14541725direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117635352
C2×#117635182
#145417252
C2×#117632162
C2×#117632112
C2×#117631162
C2×#117631142
C2×#117630922
C2×#117631112
C2×#117631092
C2×#117630972
C2×#117629392
C2×#117629102
C2×C4×SD16×C172
C2×#338817