Finite Group Databasebeta

← C2×#13127747 #16743409

Subgroups — C2×#13127747 #16743409

Order 3328.

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×Dic26C211yesmaximal, characteristic, complemented
2C2×#11719244C211yesmaximal, characteristic
3#13127747C2116yesmaximal, direct product factor
4C2×#11718363C211yesmaximal, characteristic, complemented
5C2×#11718537C211yesmaximal, characteristic, complemented
6C2×#11718535C211yesmaximal, characteristic, complemented
7C2×#11718683C211yesmaximal, characteristic, complemented
8C2×#11718460C211yesmaximal, characteristic, complemented
9C2×#11718455C211yesmaximal, characteristic, complemented
10C2×#11718422C211yesmaximal, characteristic
11C2×#11718668C211yesmaximal, characteristic
12C2×#11718420C211yesmaximal, characteristic
13C2×#11718362C211yesmaximal, characteristic, complemented
14C2×#11718825C211yesmaximal, characteristic
15C2×SD16×Dic13C211yesmaximal, characteristic
16C2×C13×#440C211yesmaximal, characteristic
17C22×C13×SD16C2211yescharacteristic
18C2×C4×Q8×C13C2211yescharacteristic
19C2×C4×D4×C13C2211yescharacteristic
20C2×Q8×Dic13C2211yescharacteristic
21C2×Q8×Dic13C2211yescharacteristic
22C2×D4×Dic13C2211yescharacteristic
23C2×D4×Dic13C2211yescharacteristic
24C2×#88178—21no—
25C22×#6101—21no—
26Q8×Dic26—24no—
27Q8×Dic26C2218yescomplemented
28#11719244—24no—
29#11719244C2218yes—
30C2×#88144C2211yescharacteristic
31C2×#88142—21no—
32C2×#88142—21no—
33C2×#88142C2211yescharacteristic
34C2×#88142C2211yescharacteristic
35C2×#88142C2211yescharacteristic
36C2×#88132—21no—
37C2×#88132—21no—
38C2×#88124C2211yescharacteristic
39C2×#88123—21no—
40C2×#88123C2211yescharacteristic
41C2×C4×Dic26—21no—
42C2×C4×Dic26C2211yescharacteristic
43C13×#440C2218yes—
44C2×C13×#107C2211yescharacteristic
45C2×C13×#103C2211yescharacteristic
46C2×C13×#102C2211yescharacteristic
47C2×C13×#97C2211yescharacteristic
48C2×#88075C2211yescharacteristic
49C2×#88075C2211yescharacteristic
50C2×#88072C2211yescharacteristic
51C2×#88072C2211yescharacteristic
52#11718825C2218yes—
53SD16×Dic13C2218yes—
54C2×#88058C2211yescharacteristic
55C2×#88058C2211yescharacteristic
56C2×#88057C2211yescharacteristic
57C2×#88057C2211yescharacteristic
58C2×#88055C2211yescharacteristic
59C2×#88054C2211yescharacteristic
60C2×#88054C2211yescharacteristic
61C2×C8×Dic13C2211yescharacteristic
62#11718683C2218yescomplemented
63#11718668C2218yes—
64C2×#88048C2211yescharacteristic
65C2×#88047C2211yescharacteristic
66C2×#88047C2211yescharacteristic
67C2×#88047C2211yescharacteristic
68C2×C4⋊#1055C2211yescharacteristic
69#11718537C2218yescomplemented
70#11718535C2218yescomplemented
71#11718460C2218yescomplemented
72#11718455C2218yescomplemented
73#11718422C2218yes—
74#11718420C2218yes—
75#11718363C2218yescomplemented
76#11718362C2218yescomplemented
77C22×Q8×C13C2311yescharacteristic
78C22×D4×C13C2311yescharacteristic
79C23×C4×C13—21no—
80C23×Dic13—21no—
81C23×Dic13—21no—
82C22×Dic26—21no—
83C22×Dic26—21no—
84C22×Dic26—21no—
85C22×Dic26—21no—
86C22×Dic26D411yescharacteristic
87C2×C13×SD16Q818yescomplemented
88C2×C13×SD16C2314yes—
89C22×C8×C13C2311yescharacteristic
90C22×C8×C13C2311yescharacteristic
91C4×Q8×C13—22no—
92C4×Q8×C13C2314yes—
93C4×D4×C13—22no—
94C4×D4×C13C2314yes—
95C2×C13×C4⋊C4—21no—
96C2×C13×C4⋊C4C2311yescharacteristic
97C2×C13×C4⋊C4C2311yescharacteristic
98C2×C13×C22⋊C4—21no—
99C2×C42×C13—21no—
100C2×C42×C13C2311yescharacteristic
101C2×C22⋊Dic13—21no—
102C2×C22⋊Dic13—21no—
103Q8×Dic13—22no—
104Q8×Dic13—22no—
105Q8×Dic13C2314yes—
106Q8×Dic13C2314yes—
107D4×Dic13—22no—
108D4×Dic13—22no—
109D4×Dic13C2314yes—
110D4×Dic13C2314yes—
111C2×C4⋊Dic13—21no—
112C2×C4⋊Dic13—21no—
113C2×C4⋊Dic13—21no—
114C2×C4⋊Dic13—21no—
115C2×C4⋊Dic13D411yescharacteristic
116C2×C4⋊Dic13C2311yescharacteristic
117C2×C4⋊Dic13C2311yescharacteristic
118C2×C4⋊Dic13C2311yescharacteristic
119C2×C4⋊Dic13C2311yescharacteristic
120#88178—28no—
121C2×#6101—21no—
122C2×#6101—21no—
123C2×#6101—21no—
124C2×#6101—21no—
125C2×#6101—21no—
126C2×#6101—21no—
127C2×#6101—28no—
128C2×#6101D411yescharacteristic
129C2×#6101D411yescharacteristic
130C2×C4×Dic13—21no—
131C2×C4×Dic13—21no—
132C2×C4×Dic13C2311yescharacteristic
133C2×C4×Dic13C2311yescharacteristic
134C22×#1055C2311yescharacteristic
135C22×#1055C2311yescharacteristic
136#88144—22no—
137#88144C2314yes—
138#88142—28no—
139#88142—28no—
140#88142—22no—
141#88142—22no—
142#88142—22no—
143#88142C2314yes—
144#88142C2314yes—
145#88142C2314yes—
146#88132—28no—
147#88132—28no—
148#88124—22no—
149#88124C2314yes—
150#88123—22no—
151#88123—28no—
152#88123C2314yes—
153C4×Dic26—28no—
154C4×Dic26D414yes—
155C4×Dic26C2314yes—
156C13×#107C2314yes—
157C13×#103C2314yes—
158C13×#102C2314yes—
159C13×#97C2314yes—
160#88075C2314yes—
161#88075C2314yes—
162#88072C2314yes—
163#88072C2314yes—
164#88058C2314yes—
165#88058C2314yes—
166#88057C2314yes—
167#88057C2314yes—
168#88055C2314yes—
169#88054C2314yes—
170#88054C2314yes—
171C8×Dic13C2314yes—
172#88048C2314yes—
173#88047C2314yes—
174#88047C2314yes—
175#88047C2314yes—
176C4⋊#1055C2314yes—
177C2×#3385—131nomaximal, Sylow
178C24×C13—21no—
179C2×Q8×C13—21no—
180C2×Q8×C13—22no—
181C2×Q8×C13C2×Q814yes—
182C2×Q8×C13C2412yes—
183C2×D4×C13—21no—
184C2×D4×C13—22no—
185C2×D4×C13C2×Q814yes—
186C2×D4×C13C2412yes—
187C22×C4×C13—21no—
188C22×C4×C13—21no—
189C22×C4×C13—21no—
190C22×C4×C13—24no—
191C22×C4×C13—82no—
192C22×C4×C13C2×D411yescharacteristic
193C22×C4×C13C2×D411yescharacteristic
194C22×C4×C13C2411yescharacteristic
195C22×Dic13—21no—
196C22×Dic13—21no—
197C22×Dic13—21no—
198C22×Dic13—21no—
199C22×Dic13—24no—
200C22×Dic13—24no—
201C22×Dic13—44no—
202C22×Dic13—82no—
203C22×Dic13C2×D411yescharacteristic
204C22×Dic13C2×D411yescharacteristic
205C22×Dic13C2×D411yescharacteristic
206C22×Dic13C2×D411yescharacteristic
207C2×Dic26—24no—
208C2×Dic26—24no—
209C2×Dic26—24no—
210C2×Dic26—24no—
211C2×Dic26—24no—
212C2×Dic26—82no—
213C2×Dic26—82no—
214C2×Dic26—82no—
215C2×Dic26—82no—
216C2×Dic26C2×D414yes—
217C13×SD16C2×Q8116yescomplemented
218C2×C8×C13—22no—
219C2×C8×C13C2×Q814yes—
220C2×C8×C13C2412yes—
221C2×C8×C13C2412yes—
222C13×C4⋊C4—24no—
223C13×C4⋊C4—21no—
224C13×C4⋊C4—21no—
225C13×C4⋊C4C2412yes—
226C13×C4⋊C4C2412yes—
227C13×C22⋊C4—24no—
228C42×C13—24no—
229C42×C13C2×D412yes—
230C42×C13C2412yes—
231C22⋊Dic13—24no—
232C22⋊Dic13—24no—
233C4⋊Dic13—24no—
234C4⋊Dic13—21no—
235C4⋊Dic13—21no—
236C4⋊Dic13—21no—
237C4⋊Dic13—21no—
238C4⋊Dic13—24no—
239C4⋊Dic13—24no—
240C4⋊Dic13—24no—
241C4⋊Dic13C2×D414yes—
242C4⋊Dic13C2412yes—
243C4⋊Dic13C2412yes—
244C4⋊Dic13C2412yes—
245C4⋊Dic13C2412yes—
246#6101—24no—
247#6101—24no—
248#6101—24no—
249#6101—24no—
250#6101—24no—
251#6101—24no—
252#6101C2×D414yes—
253#6101C2×D414yes—
254C4×Dic13—24no—
255C4×Dic13—24no—
256C4×Dic13C2×D412yes—
257C4×Dic13C2×D412yes—
258C4×Dic13C2412yes—
259C4×Dic13C2412yes—
260C2×#1055—22no—
261C2×#1055—22no—
262C2×#1055C2412yes—
263C2×#1055C2412yes—
264C2×Q82—131no—
265C2×#554—131no—
266#3385—1316no—
267C2×#501—131no—
268C2×#501—131no—
269C2×#500—131no—
270C2×#479—131no—
271C2×#479—131no—
272C2×#477—131no—
273C2×#476—131no—
274C2×#474—131no—
275C2×#474—131no—
276C2×#446—131no—
277C2×#440—131no—
278C2×#440D1311yescharacteristic
279C2×C4×SD16—131no—
280C23×C13—24no—
281C23×C13—22no—
282C23×C13—42no—
283C23×C13—42no—
284C23×C13C22×D411yescharacteristic
285Q8×C13—24no—
286Q8×C13—22no—
287Q8×C13C22×Q814yes—
288D4×C13—24no—
289D4×C13—22no—
290D4×C13C22×Q814yes—
291C2×C4×C13—24no—
292C2×C4×C13—22no—
293C2×C4×C13—22no—
294C2×C4×C13—22no—
295C2×C4×C13—22no—
296C2×C4×C13—22no—
297C2×C4×C13—42no—
298C2×C4×C13—42no—
299C2×C4×C13—84no—
300C2×C4×C13C22×D412yes—
301C2×C4×C13C22×D412yes—
302C2×C4×C13C22×D411yescharacteristic
303C2×C4×C13C22×Q812yes—
304C2×C4×C132−1+412yes—
305C2×C4×C13C2511yescharacteristic
306C2×Dic13—22no—
307C2×Dic13—22no—
308C2×Dic13—22no—
309C2×Dic13—22no—
310C2×Dic13—22no—
311C2×Dic13—22no—
312C2×Dic13—22no—
313C2×Dic13—42no—
314C2×Dic13—42no—
315C2×Dic13—42no—
316C2×Dic13—42no—
317C2×Dic13—48no—
318C2×Dic13—84no—
319C2×Dic13#13714yes—
320C2×Dic13C22×D412yes—
321C2×Dic13C22×D412yes—
322C2×Dic13C22×D412yes—
323C2×Dic13C22×D412yes—
324Dic26—28no—
325Dic26—84no—
326Dic26—84no—
327Dic26—84no—
328Dic26—84no—
329C8×C13—22no—
330C8×C13C22×Q814yes—
331#1055—22no—
332#1055—22no—
333C22×SD16C2×D1311yescharacteristic
334Q82—138no—
335Q82—264no—
336#554—138no—
337#554—264no—
338C2×C4⋊Q8—131no—
339C2×C4⋊Q8—131no—
340C2×C4⋊Q8—131no—
341C2×C4⋊Q8—131no—
342C2×C4⋊Q8—261no—
343C2×C4⋊Q8—261no—
344C2×C4⋊Q8—261no—
345C2×#125—131no—
346C2×#125—131no—
347C2×C22⋊Q8—261no—
348C2×C22⋊Q8—261no—
349C2×C22⋊Q8—261no—
350C2×C4×Q8—131no—
351C2×C4×Q8—131no—
352C2×C4×Q8—131no—
353C2×C4×Q8—261no—
354C2×C4×Q8C2×D1311yescharacteristic
355C2×C4×D4—131no—
356C2×C4×D4—131no—
357C2×C4×D4C2×D1311yescharacteristic
358C22×C4⋊C4—261no—
359#501—138no—
360#501—138no—
361#500—138no—
362#479—138no—
363#479—138no—
364#477—138no—
365#476—138no—
366#474—138no—
367#474—138no—
368#446—138no—
369#440—138no—
370#440C2×D1318yes—
371C4×SD16—138no—
372C2×#107—131no—
373C2×#107—131no—
374C2×#107—131no—
375C2×#107—131no—
376C2×#107—131no—
377C2×#107C2×D1311yescharacteristic
378C2×#106—131no—
379C2×#106—131no—
380C2×#106—131no—
381C2×C4⋊C8—131no—
382C2×C4⋊C8—131no—
383C2×C4⋊C8—131no—
384C2×#103—131no—
385C2×#103—131no—
386C2×#103C2×D1311yescharacteristic
387C2×#102—131no—
388C2×#102—131no—
389C2×#102C2×D1311yescharacteristic
390C2×#97—131no—
391C2×#97C2×D1311yescharacteristic
392C2×C4×C8—131no—
393C22×C13—24no—
394C22×C13—48no—
395C22×C13—42no—
396C22×C13—42no—
397C22×C13D4×Q812yes—
398C22×C13C2×#13712yes—
399C22×C13#57612yes—
400C22×C13C23×D411yescharacteristic
401C4×C13—24no—
402C4×C13—22no—
403C4×C13—22no—
404C4×C13—42no—
405C4×C13—42no—
406C4×C13D4×Q812yes—
407C4×C13C23×Q811yescharacteristic
408C4×C13C2×2−1+411yescharacteristic
409Dic13—22no—
410Dic13—22no—
411Dic13—22no—
412Dic13—42no—
413Dic13—42no—
414Dic13—42no—
415Dic13—42no—
416Dic13C2×#13714yes—
417C22×Q8—131no—
418C22×Q8—261no—
419C22×Q8—261no—
420C22×Q8—261no—
421C22×Q8—261no—
422C22×Q8C22×D1311yescharacteristic
423C22×D4C22×D1311yescharacteristic
424C23×C4—21no—
425C23×C4—261no—
426C23×C4—261no—
427C2×SD16Dic2618yescomplemented
428C2×SD16C22×D1314yes—
429C22×C8—131no—
430C22×C8—131no—
431C22×C8C22×D1311yescharacteristic
432C22×C8C22×D1311yescharacteristic
433C4⋊Q8—134no—
434C4⋊Q8—134no—
435C4⋊Q8—134no—
436C4⋊Q8—134no—
437C4⋊Q8—268no—
438C4⋊Q8—262no—
439C4⋊Q8—262no—
440C4⋊Q8—262no—
441C4⋊Q8—268no—
442C4⋊Q8—268no—
443C4⋊Q8—262no—
444#125—134no—
445#125—134no—
446#125—262no—
447#125—262no—
448C22⋊Q8—268no—
449C22⋊Q8—268no—
450C22⋊Q8—268no—
451C4×Q8—22no—
452C4×Q8—134no—
453C4×Q8—134no—
454C4×Q8—134no—
455C4×Q8—134no—
456C4×Q8—268no—
457C4×Q8—262no—
458C4×Q8—262no—
459C4×Q8C22×D1314yes—
460C4×D4—22no—
461C4×D4—134no—
462C4×D4—134no—
463C4×D4—262no—
464C4×D4—262no—
465C4×D4C22×D1314yes—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—131no—
468C2×C4⋊C4—131no—
469C2×C4⋊C4—131no—
470C2×C4⋊C4—131no—
471C2×C4⋊C4—131no—
472C2×C4⋊C4—131no—
473C2×C4⋊C4—131no—
474C2×C4⋊C4—268no—
475C2×C4⋊C4—261no—
476C2×C4⋊C4—261no—
477C2×C4⋊C4—261no—
478C2×C4⋊C4—261no—
479C2×C4⋊C4—261no—
480C2×C4⋊C4—261no—
481C2×C4⋊C4—261no—
482C2×C4⋊C4—261no—
483C2×C4⋊C4—261no—
484C2×C4⋊C4—261no—
485C2×C4⋊C4C22×D1311yescharacteristic
486C2×C4⋊C4C22×D1311yescharacteristic
487C2×C22⋊C4—21no—
488C2×C22⋊C4—261no—
489C2×C22⋊C4—261no—
490C2×C42—21no—
491C2×C42—131no—
492C2×C42—131no—
493C2×C42—261no—
494C2×C42—261no—
495C2×C42C22×D1311yescharacteristic
496#107—134no—
497#107—134no—
498#107—134no—
499#107—134no—
500#107—134no—
501#107C22×D1314yes—
502#106—134no—
503#106—134no—
504#106—134no—
505C4⋊C8—134no—
506C4⋊C8—134no—
507C4⋊C8—134no—
508#103—134no—
509#103—134no—
510#103C22×D1314yes—
511#102—134no—
512#102—134no—
513#102C22×D1314yes—
514#97—134no—
515#97C22×D1314yes—
516C4×C8—134no—
517C2×C13—44no—
518C2×C13#338514yescomplemented
519C2×C13C2×D4×Q811yescharacteristic
520C2×C13C22×#13711yescharacteristic
521C2×C13C2×#57611yescharacteristic
522C24—21no—
523C2×Q8—21no—
524C2×Q8—22no—
525C2×Q8—134no—
526C2×Q8—264no—
527C2×Q8—264no—
528C2×Q8—264no—
529C2×Q8—264no—
530C2×Q8—264no—
531C2×Q8—1042no—
532C2×Q8—1042no—
533C2×Q8—1042no—
534C2×Q8—1042no—
535C2×Q8C2×Dic2614yes—
536C2×Q8C23×D1312yes—
537C2×D4—21no—
538C2×D4—22no—
539C2×D4C2×Dic2614yes—
540C2×D4C23×D1312yes—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—24no—
545C22×C4—82no—
546C22×C4—131no—
547C22×C4—131no—
548C22×C4—131no—
549C22×C4—131no—
550C22×C4—264no—
551C22×C4—264no—
552C22×C4—261no—
553C22×C4—261no—
554C22×C4—261no—
555C22×C4—261no—
556C22×C4—524no—
557C22×C4—1042no—
558C22×C4D4×D1311yescharacteristic
559C22×C4D4×D1311yescharacteristic
560C22×C4C23×D1311yescharacteristic
561SD16C2×Dic26116yescomplemented
562C2×C8—22no—
563C2×C8—132no—
564C2×C8—132no—
565C2×C8—262no—
566C2×C8—262no—
567C2×C8C2×Dic2614yes—
568C2×C8C23×D1312yes—
569C2×C8C23×D1312yes—
570C4⋊C4—24no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—134no—
574C4⋊C4—134no—
575C4⋊C4—134no—
576C4⋊C4—132no—
577C4⋊C4—132no—
578C4⋊C4—132no—
579C4⋊C4—132no—
580C4⋊C4—264no—
581C4⋊C4—264no—
582C4⋊C4—264no—
583C4⋊C4—264no—
584C4⋊C4—264no—
585C4⋊C4—264no—
586C4⋊C4—264no—
587C4⋊C4—261no—
588C4⋊C4—261no—
589C4⋊C4—261no—
590C4⋊C4—261no—
591C4⋊C4—264no—
592C4⋊C4—264no—
593C4⋊C4—264no—
594C4⋊C4C23×D1312yes—
595C4⋊C4C23×D1312yes—
596C22⋊C4—24no—
597C22⋊C4—264no—
598C22⋊C4—264no—
599C42—24no—
600C42—132no—
601C42—132no—
602C42—132no—
603C42—132no—
604C42—264no—
605C42—264no—
606C42D4×D1312yes—
607C42C23×D1312yes—
608C13C2×#338511yescharacteristic, complemented, Sylow
609C23—24no—
610C23—22no—
611C23—42no—
612C23—42no—
613C23C2×D4×D1311yescharacteristic
614Q8—24no—
615Q8—22no—
616Q8—268no—
617Q8—1044no—
618Q8—1044no—
619Q8—1044no—
620Q8—1044no—
621Q8C22×Dic2614yes—
622D4—24no—
623D4—22no—
624D4C22×Dic2614yes—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—24no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—84no—
634C2×C4—134no—
635C2×C4—132no—
636C2×C4—132no—
637C2×C4—132no—
638C2×C4—132no—
639C2×C4—262no—
640C2×C4—262no—
641C2×C4—262no—
642C2×C4—262no—
643C2×C4—262no—
644C2×C4—262no—
645C2×C4—262no—
646C2×C4—528no—
647C2×C4—522no—
648C2×C4—522no—
649C2×C4—522no—
650C2×C4—522no—
651C2×C4—1044no—
652C2×C4C22×Dic2612yes—
653C2×C4C2×D4×D1312yes—
654C2×C4C2×D4×D1312yes—
655C2×C4C2×D4×D1311yescharacteristic
656C2×C4#8825712yes—
657C2×C4C24×D1311yescharacteristic
658C8—22no—
659C8—262no—
660C8—262no—
661C8C22×Dic2614yes—
662C22—24no—
663C22—48no—
664C22—42no—
665C22—42no—
666C22D4×Dic2612yes—
667C22#1171947912yes—
668C22D13×#13712yes—
669C22C22×D4×D1311yescharacteristic
670C4—22no—
671C4—22no—
672C4—24no—
673C4—42no—
674C4—42no—
675C4—134no—
676C4—262no—
677C4—262no—
678C4—262no—
679C4—522no—
680C4—522no—
681C4—522no—
682C4—522no—
683C4D4×Dic2612yes—
684C4C23×Dic2611yescharacteristic
685C4C2×#8825711yescharacteristic
686C2—44no—
687C2#1312774714yesdirect product factor
688C2C2×D4×Dic2611yescharacteristic
689C2C2×D13×#13711yescharacteristic
690C2C2×#1171947911yescharacteristic
subgroupG/H
centerC23C2×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#440C2
socleC23×C13C22×D4
prime radicalC22×D4×C13C23
hypercenterC2×#440D13
hypocenterC13C2×#3385
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#440

Complements

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

NH ≅ G/Ntype
1. C2×Q8×Dic26C2semidirect
3. #13127747C2direct (N × H)
4. C2×#11718363C2semidirect
5. C2×#11718537C2semidirect
6. C2×#11718535C2semidirect
7. C2×#11718683C2semidirect
8. C2×#11718460C2semidirect
9. C2×#11718455C2semidirect
13. C2×#11718362C2semidirect
27. Q8×Dic26C22semidirect
62. #11718683C22semidirect
69. #11718537C22semidirect
70. #11718535C22semidirect
71. #11718460C22semidirect
72. #11718455C22semidirect
75. #11718363C22semidirect
76. #11718362C22semidirect
87. C2×C13×SD16Q8semidirect
217. C13×SD16C2×Q8semidirect
427. C2×SD16Dic26semidirect
518. C2×C13#3385semidirect
561. SD16C2×Dic26semidirect
608. C13C2×#3385semidirect
687. C2#13127747direct (N × H)

Maximal subgroups

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

subgroupindex
C2×Q8×Dic262
C2×#117192442
#131277472
C2×#117183632
C2×#117185372
C2×#117185352
C2×#117186832
C2×#117184602
C2×#117184552
C2×#117184222
C2×#117186682
C2×#117184202
C2×#117183622
C2×#117188252
C2×SD16×Dic132
C2×C13×#4402
C2×#338513