Finite Group Databasebeta

← C2×#14541695 #17914814

Subgroups — C2×#14541695 #17914814

Order 4352.

1854 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×Q8×Dic34C211yesmaximal, characteristic, complemented
2C2×#11763518C211yesmaximal, characteristic
3#14541695C2116yesmaximal, direct product factor
4C2×#11763218C211yesmaximal, characteristic, complemented
5C2×#11763217C211yesmaximal, characteristic, complemented
6C2×#11763213C211yesmaximal, characteristic, complemented
7C2×#11763116C211yesmaximal, characteristic, complemented
8C2×#11763114C211yesmaximal, characteristic, complemented
9C2×#11763102C211yesmaximal, characteristic, complemented
10C2×#11763097C211yesmaximal, characteristic
11C2×#11763089C211yesmaximal, characteristic
12C2×#11763087C211yesmaximal, characteristic
13C2×#11762937C211yesmaximal, characteristic, complemented
14C2×#11762910C211yesmaximal, characteristic
15C2×SD16×Dic17C211yesmaximal, characteristic
16C2×C17×#440C211yesmaximal, characteristic
17Q8×Dic34—24no—
18Q8×Dic34C2218yescomplemented
19#11763518—24no—
20#11763518C2218yes—
21C2×#10587555—21no—
22C2×#10587555C2211yescharacteristic
23C2×#10587574—21no—
24C2×#10587574—21no—
25C2×#10587574C2211yescharacteristic
26C2×#10587574C2211yescharacteristic
27C2×#10587574C2211yescharacteristic
28C2×#10587556C2211yescharacteristic
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#11763218C2218yescomplemented
41#11763217C2218yescomplemented
42#11763213C2218yescomplemented
43#11763116C2218yescomplemented
44#11763114C2218yescomplemented
45#11763102C2218yescomplemented
46#11763097C2218yes—
47#11763089C2218yes—
48#11763087C2218yes—
49#11762937C2218yescomplemented
50#11762910C2218yes—
51SD16×Dic17C2218yes—
52C2×#10587489C2211yescharacteristic
53C2×#10587489C2211yescharacteristic
54C2×#10587478C2211yescharacteristic
55C2×#10587478C2211yescharacteristic
56C2×#10587478C2211yescharacteristic
57C2×#10587488C2211yescharacteristic
58C2×#10587488C2211yescharacteristic
59C2×#10587479C2211yescharacteristic
60C2×C4⋊#3622C2211yescharacteristic
61C2×#10587485C2211yescharacteristic
62C2×#10587485C2211yescharacteristic
63C2×#10587506C2211yescharacteristic
64C2×#10587506C2211yescharacteristic
65C2×#10587503C2211yescharacteristic
66C2×#10587503C2211yescharacteristic
67C2×#10587486C2211yescharacteristic
68C2×C8×Dic17C2211yescharacteristic
69C22×SD16×C17C2211yescharacteristic
70C2×C4×Q8×C17C2211yescharacteristic
71C2×C4×D4×C17C2211yescharacteristic
72C17×#440C2218yes—
73C2×C17×#107C2211yescharacteristic
74C2×C17×#103C2211yescharacteristic
75C2×C17×#102C2211yescharacteristic
76C2×C17×#97C2211yescharacteristic
77C22×Q8×C17C2311yescharacteristic
78C22×D4×C17C2311yescharacteristic
79C23×C4×C17—21no—
80C23×Dic17—21no—
81C23×Dic17—21no—
82C22×Dic34—21no—
83C22×Dic34—21no—
84C22×Dic34—21no—
85C22×Dic34—21no—
86C22×Dic34D411yescharacteristic
87C2×SD16×C17Q818yescomplemented
88C2×SD16×C17C2314yes—
89C22×C8×C17C2311yescharacteristic
90C22×C8×C17C2311yescharacteristic
91C4×Q8×C17—22no—
92C4×Q8×C17C2314yes—
93C4×D4×C17—22no—
94C4×D4×C17C2314yes—
95C2×C4⋊C4×C17—21no—
96C2×C4⋊C4×C17C2311yescharacteristic
97C2×C4⋊C4×C17C2311yescharacteristic
98C2×C22⋊C4×C17—21no—
99C2×C42×C17—21no—
100C2×C42×C17C2311yescharacteristic
101C2×C22⋊Dic17—21no—
102C2×C22⋊Dic17—21no—
103Q8×Dic17—22no—
104Q8×Dic17—22no—
105Q8×Dic17C2314yes—
106Q8×Dic17C2314yes—
107D4×Dic17—22no—
108D4×Dic17—22no—
109D4×Dic17C2314yes—
110D4×Dic17C2314yes—
111C2×C4⋊Dic17—21no—
112C2×C4⋊Dic17—21no—
113C2×C4⋊Dic17—21no—
114C2×C4⋊Dic17—21no—
115C2×C4⋊Dic17D411yescharacteristic
116C2×C4⋊Dic17C2311yescharacteristic
117C2×C4⋊Dic17C2311yescharacteristic
118C2×C4⋊Dic17C2311yescharacteristic
119C2×C4⋊Dic17C2311yescharacteristic
120#10587610—28no—
121C2×#63225—28no—
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—22no—
137#10587576C2314yes—
138#10587574—28no—
139#10587574—28no—
140#10587574—22no—
141#10587574—22no—
142#10587574—22no—
143#10587574C2314yes—
144#10587574C2314yes—
145#10587574C2314yes—
146#10587564—28no—
147#10587564—28no—
148#10587556—22no—
149#10587556C2314yes—
150#10587555—28no—
151#10587555—22no—
152#10587555C2314yes—
153C4×Dic34—28no—
154C4×Dic34D414yes—
155C4×Dic34C2314yes—
156C17×#107C2314yes—
157C17×#103C2314yes—
158C17×#102C2314yes—
159C17×#97C2314yes—
160#10587506C2314yes—
161#10587506C2314yes—
162#10587503C2314yes—
163#10587503C2314yes—
164#10587489C2314yes—
165#10587489C2314yes—
166#10587488C2314yes—
167#10587488C2314yes—
168#10587486C2314yes—
169#10587485C2314yes—
170#10587485C2314yes—
171C8×Dic17C2314yes—
172#10587479C2314yes—
173#10587478C2314yes—
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—24no—
209C2×Dic34—24no—
210C2×Dic34—24no—
211C2×Dic34—82no—
212C2×Dic34—82no—
213C2×Dic34—82no—
214C2×Dic34—82no—
215C2×Dic34C2×D414yes—
216SD16×C17C2×Q8116yescomplemented
217C2×C8×C17—22no—
218C2×C8×C17C2×Q814yes—
219C2×C8×C17C2412yes—
220C2×C8×C17C2412yes—
221C4⋊C4×C17—24no—
222C4⋊C4×C17—21no—
223C4⋊C4×C17—21no—
224C4⋊C4×C17C2412yes—
225C4⋊C4×C17C2412yes—
226C22⋊C4×C17—24no—
227C42×C17—24no—
228C42×C17C2×D412yes—
229C42×C17C2412yes—
230C22⋊Dic17—24no—
231C22⋊Dic17—24no—
232C4⋊Dic17—24no—
233C4⋊Dic17—21no—
234C4⋊Dic17—21no—
235C4⋊Dic17—21no—
236C4⋊Dic17—21no—
237C4⋊Dic17—24no—
238C4⋊Dic17—24no—
239C4⋊Dic17—24no—
240C4⋊Dic17C2×D414yes—
241C4⋊Dic17C2412yes—
242C4⋊Dic17C2412yes—
243C4⋊Dic17C2412yes—
244C4⋊Dic17C2412yes—
245#63225—24no—
246#63225—24no—
247#63225—24no—
248#63225—24no—
249#63225—24no—
250#63225—24no—
251#63225C2×D414yes—
252#63225C2×D414yes—
253C4×Dic17—24no—
254C4×Dic17—24no—
255C4×Dic17C2×D412yes—
256C4×Dic17C2×D412yes—
257C4×Dic17C2412yes—
258C4×Dic17C2412yes—
259C2×#3622—22no—
260C2×#3622—22no—
261C2×#3622C2412yes—
262C2×#3622C2412yes—
263C2×#3385—171nomaximal, Sylow
264C23×C17—24no—
265C23×C17—22no—
266C23×C17—42no—
267C23×C17—42no—
268C23×C17C22×D411yescharacteristic
269Q8×C17—24no—
270Q8×C17—22no—
271Q8×C17C22×Q814yes—
272D4×C17—24no—
273D4×C17—22no—
274D4×C17C22×Q814yes—
275C2×C4×C17—24no—
276C2×C4×C17—22no—
277C2×C4×C17—22no—
278C2×C4×C17—22no—
279C2×C4×C17—22no—
280C2×C4×C17—22no—
281C2×C4×C17—42no—
282C2×C4×C17—42no—
283C2×C4×C17—84no—
284C2×C4×C17C22×D412yes—
285C2×C4×C17C22×D412yes—
286C2×C4×C17C22×D411yescharacteristic
287C2×C4×C17C22×Q812yes—
288C2×C4×C172−1+412yes—
289C2×C4×C17C2511yescharacteristic
290C2×Dic17—22no—
291C2×Dic17—22no—
292C2×Dic17—22no—
293C2×Dic17—22no—
294C2×Dic17—22no—
295C2×Dic17—22no—
296C2×Dic17—22no—
297C2×Dic17—42no—
298C2×Dic17—42no—
299C2×Dic17—42no—
300C2×Dic17—42no—
301C2×Dic17—48no—
302C2×Dic17—84no—
303C2×Dic17#13714yes—
304C2×Dic17C22×D412yes—
305C2×Dic17C22×D412yes—
306C2×Dic17C22×D412yes—
307C2×Dic17C22×D412yes—
308Dic34—28no—
309Dic34—84no—
310Dic34—84no—
311Dic34—84no—
312Dic34—84no—
313C8×C17—22no—
314C8×C17C22×Q814yes—
315#3622—22no—
316#3622—22no—
317C2×Q82—171no—
318C2×#554—171no—
319#3385—1716no—
320C2×#501—171no—
321C2×#501—171no—
322C2×#500—171no—
323C2×#479—171no—
324C2×#479—171no—
325C2×#477—171no—
326C2×#476—171no—
327C2×#474—171no—
328C2×#474—171no—
329C2×#446—171no—
330C2×#440—171no—
331C2×#440D1711yescharacteristic
332C2×C4×SD16—171no—
333C22×C17—24no—
334C22×C17—48no—
335C22×C17—42no—
336C22×C17—42no—
337C22×C17D4×Q812yes—
338C22×C17C2×#13712yes—
339C22×C17#57612yes—
340C22×C17C23×D411yescharacteristic
341C4×C17—24no—
342C4×C17—22no—
343C4×C17—22no—
344C4×C17—42no—
345C4×C17—42no—
346C4×C17D4×Q812yes—
347C4×C17C23×Q811yescharacteristic
348C4×C17C2×2−1+411yescharacteristic
349Dic17—22no—
350Dic17—22no—
351Dic17—22no—
352Dic17—42no—
353Dic17—42no—
354Dic17—42no—
355Dic17—42no—
356Dic17C2×#13714yes—
357C22×SD16C2×D1711yescharacteristic
358Q82—178no—
359Q82—344no—
360#554—178no—
361#554—344no—
362C2×C4⋊Q8—171no—
363C2×C4⋊Q8—171no—
364C2×C4⋊Q8—171no—
365C2×C4⋊Q8—171no—
366C2×C4⋊Q8—341no—
367C2×C4⋊Q8—341no—
368C2×C4⋊Q8—341no—
369C2×#125—171no—
370C2×#125—171no—
371C2×C22⋊Q8—341no—
372C2×C22⋊Q8—341no—
373C2×C22⋊Q8—341no—
374C2×C4×Q8—171no—
375C2×C4×Q8—171no—
376C2×C4×Q8—171no—
377C2×C4×Q8—341no—
378C2×C4×Q8C2×D1711yescharacteristic
379C2×C4×D4—171no—
380C2×C4×D4—171no—
381C2×C4×D4C2×D1711yescharacteristic
382C22×C4⋊C4—341no—
383#501—178no—
384#501—178no—
385#500—178no—
386#479—178no—
387#479—178no—
388#477—178no—
389#476—178no—
390#474—178no—
391#474—178no—
392#446—178no—
393#440—178no—
394#440C2×D1718yes—
395C4×SD16—178no—
396C2×#107—171no—
397C2×#107—171no—
398C2×#107—171no—
399C2×#107—171no—
400C2×#107—171no—
401C2×#107C2×D1711yescharacteristic
402C2×#106—171no—
403C2×#106—171no—
404C2×#106—171no—
405C2×C4⋊C8—171no—
406C2×C4⋊C8—171no—
407C2×C4⋊C8—171no—
408C2×#103—171no—
409C2×#103—171no—
410C2×#103C2×D1711yescharacteristic
411C2×#102—171no—
412C2×#102—171no—
413C2×#102C2×D1711yescharacteristic
414C2×#97—171no—
415C2×#97C2×D1711yescharacteristic
416C2×C4×C8—171no—
417C2×C17—44no—
418C2×C17#338514yescomplemented
419C2×C17C2×D4×Q811yescharacteristic
420C2×C17C22×#13711yescharacteristic
421C2×C17C2×#57611yescharacteristic
422C22×Q8—171no—
423C22×Q8—341no—
424C22×Q8—341no—
425C22×Q8—341no—
426C22×Q8—341no—
427C22×Q8C22×D1711yescharacteristic
428C22×D4C22×D1711yescharacteristic
429C23×C4—21no—
430C23×C4—341no—
431C23×C4—341no—
432C2×SD16Dic3418yescomplemented
433C2×SD16C22×D1714yes—
434C22×C8—171no—
435C22×C8—171no—
436C22×C8C22×D1711yescharacteristic
437C22×C8C22×D1711yescharacteristic
438C4⋊Q8—174no—
439C4⋊Q8—174no—
440C4⋊Q8—174no—
441C4⋊Q8—174no—
442C4⋊Q8—348no—
443C4⋊Q8—342no—
444C4⋊Q8—342no—
445C4⋊Q8—342no—
446C4⋊Q8—348no—
447C4⋊Q8—348no—
448C4⋊Q8—342no—
449#125—174no—
450#125—174no—
451#125—342no—
452#125—342no—
453C22⋊Q8—348no—
454C22⋊Q8—348no—
455C22⋊Q8—348no—
456C4×Q8—22no—
457C4×Q8—174no—
458C4×Q8—174no—
459C4×Q8—174no—
460C4×Q8—174no—
461C4×Q8—348no—
462C4×Q8—342no—
463C4×Q8—342no—
464C4×Q8C22×D1714yes—
465C4×D4—22no—
466C4×D4—174no—
467C4×D4—174no—
468C4×D4—342no—
469C4×D4—342no—
470C4×D4C22×D1714yes—
471C2×C4⋊C4—21no—
472C2×C4⋊C4—171no—
473C2×C4⋊C4—171no—
474C2×C4⋊C4—171no—
475C2×C4⋊C4—171no—
476C2×C4⋊C4—171no—
477C2×C4⋊C4—171no—
478C2×C4⋊C4—171no—
479C2×C4⋊C4—348no—
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⋊C4—341no—
487C2×C4⋊C4—341no—
488C2×C4⋊C4—341no—
489C2×C4⋊C4—341no—
490C2×C4⋊C4C22×D1711yescharacteristic
491C2×C4⋊C4C22×D1711yescharacteristic
492C2×C22⋊C4—21no—
493C2×C22⋊C4—341no—
494C2×C22⋊C4—341no—
495C2×C42—21no—
496C2×C42—171no—
497C2×C42—171no—
498C2×C42—341no—
499C2×C42—341no—
500C2×C42C22×D1711yescharacteristic
501#107—174no—
502#107—174no—
503#107—174no—
504#107—174no—
505#107—174no—
506#107C22×D1714yes—
507#106—174no—
508#106—174no—
509#106—174no—
510C4⋊C8—174no—
511C4⋊C8—174no—
512C4⋊C8—174no—
513#103—174no—
514#103—174no—
515#103C22×D1714yes—
516#102—174no—
517#102—174no—
518#102C22×D1714yes—
519#97—174no—
520#97C22×D1714yes—
521C4×C8—174no—
522C17C2×#338511yescharacteristic, complemented, Sylow
523C24—21no—
524C2×Q8—21no—
525C2×Q8—22no—
526C2×Q8—174no—
527C2×Q8—344no—
528C2×Q8—344no—
529C2×Q8—344no—
530C2×Q8—344no—
531C2×Q8—344no—
532C2×Q8—1362no—
533C2×Q8—1362no—
534C2×Q8—1362no—
535C2×Q8—1362no—
536C2×Q8C2×Dic3414yes—
537C2×Q8C23×D1712yes—
538C2×D4—21no—
539C2×D4—22no—
540C2×D4C2×Dic3414yes—
541C2×D4C23×D1712yes—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—24no—
546C22×C4—82no—
547C22×C4—171no—
548C22×C4—171no—
549C22×C4—171no—
550C22×C4—171no—
551C22×C4—344no—
552C22×C4—344no—
553C22×C4—341no—
554C22×C4—341no—
555C22×C4—341no—
556C22×C4—341no—
557C22×C4—684no—
558C22×C4—1362no—
559C22×C4D4×D1711yescharacteristic
560C22×C4D4×D1711yescharacteristic
561C22×C4C23×D1711yescharacteristic
562SD16C2×Dic34116yescomplemented
563C2×C8—22no—
564C2×C8—172no—
565C2×C8—172no—
566C2×C8—342no—
567C2×C8—342no—
568C2×C8C2×Dic3414yes—
569C2×C8C23×D1712yes—
570C2×C8C23×D1712yes—
571C4⋊C4—24no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—174no—
575C4⋊C4—174no—
576C4⋊C4—174no—
577C4⋊C4—172no—
578C4⋊C4—172no—
579C4⋊C4—172no—
580C4⋊C4—172no—
581C4⋊C4—344no—
582C4⋊C4—344no—
583C4⋊C4—344no—
584C4⋊C4—344no—
585C4⋊C4—344no—
586C4⋊C4—344no—
587C4⋊C4—344no—
588C4⋊C4—341no—
589C4⋊C4—341no—
590C4⋊C4—341no—
591C4⋊C4—341no—
592C4⋊C4—344no—
593C4⋊C4—344no—
594C4⋊C4—344no—
595C4⋊C4C23×D1712yes—
596C4⋊C4C23×D1712yes—
597C22⋊C4—24no—
598C22⋊C4—344no—
599C22⋊C4—344no—
600C42—24no—
601C42—172no—
602C42—172no—
603C42—172no—
604C42—172no—
605C42—344no—
606C42—344no—
607C42D4×D1712yes—
608C42C23×D1712yes—
609C23—24no—
610C23—22no—
611C23—42no—
612C23—42no—
613C23C2×D4×D1711yescharacteristic
614Q8—24no—
615Q8—22no—
616Q8—348no—
617Q8—1364no—
618Q8—1364no—
619Q8—1364no—
620Q8—1364no—
621Q8C22×Dic3414yes—
622D4—24no—
623D4—22no—
624D4C22×Dic3414yes—
625C2×C4—24no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—84no—
634C2×C4—174no—
635C2×C4—172no—
636C2×C4—172no—
637C2×C4—172no—
638C2×C4—172no—
639C2×C4—342no—
640C2×C4—342no—
641C2×C4—342no—
642C2×C4—342no—
643C2×C4—342no—
644C2×C4—342no—
645C2×C4—342no—
646C2×C4—688no—
647C2×C4—682no—
648C2×C4—682no—
649C2×C4—682no—
650C2×C4—682no—
651C2×C4—1364no—
652C2×C4C22×Dic3412yes—
653C2×C4C2×D4×D1712yes—
654C2×C4C2×D4×D1712yes—
655C2×C4C2×D4×D1711yescharacteristic
656C2×C4#1058769712yes—
657C2×C4C24×D1711yescharacteristic
658C8—22no—
659C8—342no—
660C8—342no—
661C8C22×Dic3414yes—
662C22—24no—
663C22—48no—
664C22—42no—
665C22—42no—
666C22D4×Dic3412yes—
667C22#137×D1712yes—
668C22#1176361312yes—
669C22C22×D4×D1711yescharacteristic
670C4—22no—
671C4—22no—
672C4—24no—
673C4—42no—
674C4—42no—
675C4—174no—
676C4—342no—
677C4—342no—
678C4—342no—
679C4—682no—
680C4—682no—
681C4—682no—
682C4—682no—
683C4D4×Dic3412yes—
684C4C23×Dic3411yescharacteristic
685C4C2×#1058769711yescharacteristic
686C2—44no—
687C2#1454169514yesdirect product factor
688C2C2×D4×Dic3411yescharacteristic
689C2C2×#137×D1711yescharacteristic
690C2C2×#1176361311yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC2×C17×#440C2
socleC23×C17C22×D4
prime radicalC22×D4×C17C23
hypercenterC2×#440D17
hypocenterC17C2×#3385
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#440

Complements

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

NH ≅ G/Ntype
1. C2×Q8×Dic34C2semidirect
3. #14541695C2direct (N × H)
4. C2×#11763218C2semidirect
5. C2×#11763217C2semidirect
6. C2×#11763213C2semidirect
7. C2×#11763116C2semidirect
8. C2×#11763114C2semidirect
9. C2×#11763102C2semidirect
13. C2×#11762937C2semidirect
18. Q8×Dic34C22semidirect
40. #11763218C22semidirect
41. #11763217C22semidirect
42. #11763213C22semidirect
43. #11763116C22semidirect
44. #11763114C22semidirect
45. #11763102C22semidirect
49. #11762937C22semidirect
87. C2×SD16×C17Q8semidirect
216. SD16×C17C2×Q8semidirect
418. C2×C17#3385semidirect
432. C2×SD16Dic34semidirect
522. C17C2×#3385semidirect
562. SD16C2×Dic34semidirect
687. C2#14541695direct (N × H)

Maximal subgroups

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

subgroupindex
C2×Q8×Dic342
C2×#117635182
#145416952
C2×#117632182
C2×#117632172
C2×#117632132
C2×#117631162
C2×#117631142
C2×#117631022
C2×#117630972
C2×#117630892
C2×#117630872
C2×#117629372
C2×#117629102
C2×SD16×Dic172
C2×C17×#4402
C2×#338517