Finite Group Databasebeta

← C2×#13127795 #16743461

Subgroups — C2×#13127795 #16743461

Order 3328.

1898 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719244C211yesmaximal, characteristic, complemented
2C2×#11719248C211yesmaximal, characteristic, complemented
3#13127795C2116yesmaximal, direct product factor
4C2×#11718363C211yesmaximal, characteristic, complemented
5C2×#11718517C211yesmaximal, characteristic, complemented
6C2×#11718519C211yesmaximal, characteristic, complemented
7C2×#11718424C211yesmaximal, characteristic, complemented
8C2×#11718424C211yesmaximal, characteristic, complemented
9C2×#11718670C211yesmaximal, characteristic, complemented
10C2×#11718427C211yesmaximal, characteristic, complemented
11C2×#11718668C211yesmaximal, characteristic, complemented
12C2×#11718420C211yesmaximal, characteristic, complemented
13C2×#11718362C211yesmaximal, characteristic, complemented
14C2×#11718813C211yesmaximal, characteristic
15C2×D8×Dic13C211yesmaximal, characteristic
16C2×C13×#442C211yesmaximal, characteristic
17C22×C13×D8C2211yescharacteristic
18C2×C4×D4×C13C2211yescharacteristic
19C2×C4×D4×C13C2211yescharacteristic
20C2×D4×Dic13C2211yescharacteristic
21C2×D4×Dic13C2211yescharacteristic
22C2×D4×Dic13C2211yescharacteristic
23C2×D4×Dic13C2211yescharacteristic
24C22×C4⋊Dic13—21no—
25C2×#88178—21no—
26C2×#88178—21no—
27C22×#6101—21no—
28#11719248—24no—
29#11719248C2218yescomplemented
30#11719244—24no—
31#11719244C2218yescomplemented
32C2×#88144C2211yescharacteristic
33C2×#88144C2211yescharacteristic
34C2×#88144C2211yescharacteristic
35C2×#88142C2211yescharacteristic
36C2×#88132—21no—
37C2×#88132—21no—
38C2×#88132—21no—
39C2×#88132—21no—
40C2×#88124C2211yescharacteristic
41C2×#88123C2211yescharacteristic
42C2×C4×Dic26C2211yescharacteristic
43C13×#442C2218yes—
44C2×C13×#106C2211yescharacteristic
45C2×C13×#102C2211yescharacteristic
46C2×C13×#102C2211yescharacteristic
47C2×C13×#97C2211yescharacteristic
48C2×#88072C2211yescharacteristic
49C2×#88072C2211yescharacteristic
50C2×#88072C2211yescharacteristic
51C2×#88072C2211yescharacteristic
52#11718813C2218yes—
53D8×Dic13C2218yes—
54C2×#88058C2211yescharacteristic
55C2×#88058C2211yescharacteristic
56C2×#88057C2211yescharacteristic
57C2×#88057C2211yescharacteristic
58C2×#88055C2211yescharacteristic
59C2×#88054C2211yescharacteristic
60C2×#88054C2211yescharacteristic
61C2×C8×Dic13C2211yescharacteristic
62#11718670C2218yescomplemented
63#11718668C2218yescomplemented
64C2×#88048C2211yescharacteristic
65C2×#88047C2211yescharacteristic
66C2×#88047C2211yescharacteristic
67C2×#88047C2211yescharacteristic
68C2×C4⋊#1055C2211yescharacteristic
69#11718519C2218yescomplemented
70#11718517C2218yescomplemented
71#11718427C2218yescomplemented
72#11718424C2218yescomplemented
73#11718424C2218yescomplemented
74#11718420C2218yescomplemented
75#11718363C2218yescomplemented
76#11718362C2218yescomplemented
77C22×D4×C13C2311yescharacteristic
78C22×D4×C13C2311yescharacteristic
79C23×C4×C13—21no—
80C23×C4×C13—21no—
81C23×Dic13—21no—
82C23×Dic13—21no—
83C23×Dic13—21no—
84C23×Dic13—21no—
85C22×Dic26—21no—
86C22×Dic26—21no—
87C22×Dic26D411yescharacteristic
88C2×C13×D8Q818yescomplemented
89C2×C13×D8C2314yes—
90C22×C8×C13C2311yescharacteristic
91C22×C8×C13C2311yescharacteristic
92C4×D4×C13—22no—
93C4×D4×C13—22no—
94C4×D4×C13C2314yes—
95C4×D4×C13C2314yes—
96C2×C13×C4⋊C4C2311yescharacteristic
97C2×C13×C4⋊C4C2311yescharacteristic
98C2×C13×C22⋊C4—21no—
99C2×C13×C22⋊C4—21no—
100C2×C42×C13C2311yescharacteristic
101C2×C22⋊Dic13—21no—
102C2×C22⋊Dic13—21no—
103C2×C22⋊Dic13—21no—
104C2×C22⋊Dic13—21no—
105D4×Dic13—22no—
106D4×Dic13—22no—
107D4×Dic13—22no—
108D4×Dic13—22no—
109D4×Dic13C2314yes—
110D4×Dic13C2314yes—
111D4×Dic13C2314yes—
112D4×Dic13C2314yes—
113C2×C4⋊Dic13—21no—
114C2×C4⋊Dic13—21no—
115C2×C4⋊Dic13—21no—
116C2×C4⋊Dic13—21no—
117C2×C4⋊Dic13—28no—
118C2×C4⋊Dic13D411yescharacteristic
119C2×C4⋊Dic13C2311yescharacteristic
120C2×C4⋊Dic13C2311yescharacteristic
121C2×C4⋊Dic13C2311yescharacteristic
122C2×C4⋊Dic13C2311yescharacteristic
123#88178—28no—
124#88178—28no—
125C2×#6101—21no—
126C2×#6101—21no—
127C2×#6101—21no—
128C2×#6101—21no—
129C2×#6101—21no—
130C2×#6101—21no—
131C2×#6101—28no—
132C2×#6101D411yescharacteristic
133C2×#6101D411yescharacteristic
134C2×C4×Dic13C2311yescharacteristic
135C2×C4×Dic13C2311yescharacteristic
136C22×#1055C2311yescharacteristic
137C22×#1055C2311yescharacteristic
138#88144—22no—
139#88144—22no—
140#88144—22no—
141#88144C2314yes—
142#88144C2314yes—
143#88144C2314yes—
144#88142—22no—
145#88142C2314yes—
146#88132—28no—
147#88132—28no—
148#88132—28no—
149#88132—28no—
150#88124—22no—
151#88124C2314yes—
152#88123—22no—
153#88123C2314yes—
154C4×Dic26D414yes—
155C4×Dic26C2314yes—
156C13×#106C2314yes—
157C13×#102C2314yes—
158C13×#102C2314yes—
159C13×#97C2314yes—
160#88072C2314yes—
161#88072C2314yes—
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×#3389—131nomaximal, Sylow
178C24×C13—21no—
179C24×C13—21no—
180C2×D4×C13—21no—
181C2×D4×C13—21no—
182C2×D4×C13—22no—
183C2×D4×C13—22no—
184C2×D4×C13C2×Q814yes—
185C2×D4×C13C2×Q814yes—
186C2×D4×C13C2412yes—
187C2×D4×C13C2412yes—
188C22×C4×C13—21no—
189C22×C4×C13—21no—
190C22×C4×C13—24no—
191C22×C4×C13—24no—
192C22×C4×C13—44no—
193C22×C4×C13—82no—
194C22×C4×C13C2×D411yescharacteristic
195C22×C4×C13C2×D411yescharacteristic
196C22×C4×C13C2411yescharacteristic
197C22×Dic13—21no—
198C22×Dic13—21no—
199C22×Dic13—21no—
200C22×Dic13—21no—
201C22×Dic13—24no—
202C22×Dic13—24no—
203C22×Dic13—24no—
204C22×Dic13—24no—
205C22×Dic13—44no—
206C22×Dic13—82no—
207C22×Dic13—82no—
208C22×Dic13—82no—
209C22×Dic13C2×D411yescharacteristic
210C22×Dic13C2×D411yescharacteristic
211C22×Dic13C2×D411yescharacteristic
212C22×Dic13C2×D411yescharacteristic
213C2×Dic26—24no—
214C2×Dic26—24no—
215C2×Dic26—42no—
216C2×Dic26—82no—
217C2×Dic26—82no—
218C2×Dic26C2×D414yes—
219C13×D8C2×Q8116yescomplemented
220C2×C8×C13—22no—
221C2×C8×C13C2×Q814yes—
222C2×C8×C13C2412yes—
223C2×C8×C13C2412yes—
224C13×C4⋊C4—21no—
225C13×C4⋊C4—21no—
226C13×C4⋊C4C2412yes—
227C13×C4⋊C4C2412yes—
228C13×C22⋊C4—24no—
229C13×C22⋊C4—24no—
230C42×C13C2×D412yes—
231C42×C13C2412yes—
232C22⋊Dic13—24no—
233C22⋊Dic13—24no—
234C22⋊Dic13—24no—
235C22⋊Dic13—24no—
236C4⋊Dic13—21no—
237C4⋊Dic13—21no—
238C4⋊Dic13—24no—
239C4⋊Dic13—21no—
240C4⋊Dic13—21no—
241C4⋊Dic13—24no—
242C4⋊Dic13—24no—
243C4⋊Dic13—24no—
244C4⋊Dic13C2×D414yes—
245C4⋊Dic13C2412yes—
246C4⋊Dic13C2412yes—
247C4⋊Dic13C2412yes—
248C4⋊Dic13C2412yes—
249#6101—24no—
250#6101—24no—
251#6101—24no—
252#6101—24no—
253#6101—24no—
254#6101—24no—
255#6101C2×D414yes—
256#6101C2×D414yes—
257C4×Dic13C2×D412yes—
258C4×Dic13C2×D412yes—
259C4×Dic13C2412yes—
260C4×Dic13C2412yes—
261C2×#1055—22no—
262C2×#1055—22no—
263C2×#1055C2412yes—
264C2×#1055C2412yes—
265C2×#554—131no—
266C2×#554—131no—
267#3389—1316no—
268C2×#501—131no—
269C2×#501—131no—
270C2×#499—131no—
271C2×#478—131no—
272C2×#478—131no—
273C2×#478—131no—
274C2×#478—131no—
275C2×#474—131no—
276C2×#474—131no—
277C2×#446—131no—
278C2×#442—131no—
279C2×#442D1311yescharacteristic
280C2×C4×D8—131no—
281C23×C13—24no—
282C23×C13—24no—
283C23×C13—22no—
284C23×C13—22no—
285C23×C13—42no—
286C23×C13—42no—
287C23×C13—42no—
288C23×C13—42no—
289C23×C13C22×D411yescharacteristic
290D4×C13—24no—
291D4×C13—24no—
292D4×C13—22no—
293D4×C13—22no—
294D4×C13C22×Q814yes—
295D4×C13C22×Q814yes—
296C2×C4×C13—22no—
297C2×C4×C13—22no—
298C2×C4×C13—22no—
299C2×C4×C13—22no—
300C2×C4×C13—48no—
301C2×C4×C13—42no—
302C2×C4×C13—42no—
303C2×C4×C13—84no—
304C2×C4×C13C22×D412yes—
305C2×C4×C13C22×D412yes—
306C2×C4×C13C22×D411yescharacteristic
307C2×C4×C13C22×Q812yes—
308C2×C4×C132−1+412yes—
309C2×C4×C13C2511yescharacteristic
310C2×Dic13—22no—
311C2×Dic13—22no—
312C2×Dic13—22no—
313C2×Dic13—22no—
314C2×Dic13—22no—
315C2×Dic13—22no—
316C2×Dic13—22no—
317C2×Dic13—22no—
318C2×Dic13—48no—
319C2×Dic13—42no—
320C2×Dic13—42no—
321C2×Dic13—42no—
322C2×Dic13—42no—
323C2×Dic13—84no—
324C2×Dic13—84no—
325C2×Dic13—84no—
326C2×Dic13C22×D412yes—
327C2×Dic13C22×D412yes—
328C2×Dic13C22×D412yes—
329C2×Dic13C22×D412yes—
330Dic26—44no—
331Dic26—84no—
332Dic26—84no—
333C8×C13—22no—
334C8×C13C22×Q814yes—
335#1055—22no—
336#1055—22no—
337C22×D8C2×D1311yescharacteristic
338#554—138no—
339#554—138no—
340#554—264no—
341#554—264no—
342C2×C4⋊Q8—131no—
343C2×C4⋊Q8—131no—
344C2×#125—131no—
345C2×#125—131no—
346C2×#125—131no—
347C2×#125—131no—
348C2×C22⋊Q8—261no—
349C2×C22⋊Q8—261no—
350C2×C22⋊Q8—261no—
351C2×C22⋊Q8—261no—
352C2×C22⋊Q8—261no—
353C2×C22⋊Q8—261no—
354C2×C4×Q8—131no—
355C2×C4×D4—131no—
356C2×C4×D4—131no—
357C2×C4×D4—131no—
358C2×C4×D4—131no—
359C2×C4×D4C2×D1311yescharacteristic
360C2×C4×D4C2×D1311yescharacteristic
361C22×C4⋊C4—261no—
362C22×C4⋊C4—261no—
363#501—138no—
364#501—138no—
365#499—138no—
366#478—138no—
367#478—138no—
368#478—138no—
369#478—138no—
370#474—138no—
371#474—138no—
372#446—138no—
373#442—138no—
374#442C2×D1318yes—
375C4×D8—138no—
376C2×#107—131no—
377C2×#107—131no—
378C2×#107—131no—
379C2×#107—131no—
380C2×#107—131no—
381C2×#106—131no—
382C2×#106—131no—
383C2×#106—131no—
384C2×#106C2×D1311yescharacteristic
385C2×C4⋊C8—131no—
386C2×C4⋊C8—131no—
387C2×C4⋊C8—131no—
388C2×#102—131no—
389C2×#102—131no—
390C2×#102—131no—
391C2×#102—131no—
392C2×#102C2×D1311yescharacteristic
393C2×#102C2×D1311yescharacteristic
394C2×#97—131no—
395C2×#97C2×D1311yescharacteristic
396C2×C4×C8—131no—
397C22×C13—24no—
398C22×C13—24no—
399C22×C13—48no—
400C22×C13—48no—
401C22×C13—42no—
402C22×C13—42no—
403C22×C13—42no—
404C22×C13—42no—
405C22×C13D4×Q812yes—
406C22×C13#57512yes—
407C22×C13#57612yes—
408C22×C13C23×D411yescharacteristic
409C4×C13—22no—
410C4×C13—22no—
411C4×C13—42no—
412C4×C13—42no—
413C4×C13D4×Q812yes—
414C4×C13C23×Q811yescharacteristic
415C4×C13C2×2−1+411yescharacteristic
416Dic13—22no—
417Dic13—22no—
418Dic13—22no—
419Dic13—22no—
420Dic13—42no—
421Dic13—42no—
422Dic13—42no—
423Dic13—42no—
424C22×Q8—131no—
425C22×Q8—261no—
426C22×Q8—261no—
427C22×D4C22×D1311yescharacteristic
428C22×D4C22×D1311yescharacteristic
429C23×C4—21no—
430C23×C4—21no—
431C23×C4—261no—
432C23×C4—261no—
433C23×C4—261no—
434C23×C4—261no—
435C2×D8Dic2618yescomplemented
436C2×D8C22×D1314yes—
437C22×C8—131no—
438C22×C8—131no—
439C22×C8C22×D1311yescharacteristic
440C22×C8C22×D1311yescharacteristic
441C4⋊Q8—134no—
442C4⋊Q8—134no—
443C4⋊Q8—262no—
444C4⋊Q8—262no—
445#125—134no—
446#125—134no—
447#125—134no—
448#125—134no—
449#125—262no—
450#125—262no—
451#125—262no—
452#125—262no—
453C22⋊Q8—268no—
454C22⋊Q8—268no—
455C22⋊Q8—268no—
456C22⋊Q8—268no—
457C22⋊Q8—268no—
458C22⋊Q8—268no—
459C4×Q8—134no—
460C4×Q8—134no—
461C4×D4—22no—
462C4×D4—22no—
463C4×D4—134no—
464C4×D4—134no—
465C4×D4—134no—
466C4×D4—134no—
467C4×D4—262no—
468C4×D4—262no—
469C4×D4—262no—
470C4×D4—262no—
471C4×D4C22×D1314yes—
472C4×D4C22×D1314yes—
473C2×C4⋊C4—131no—
474C2×C4⋊C4—131no—
475C2×C4⋊C4—131no—
476C2×C4⋊C4—131no—
477C2×C4⋊C4—131no—
478C2×C4⋊C4—131no—
479C2×C4⋊C4—131no—
480C2×C4⋊C4—268no—
481C2×C4⋊C4—268no—
482C2×C4⋊C4—261no—
483C2×C4⋊C4—261no—
484C2×C4⋊C4—261no—
485C2×C4⋊C4—261no—
486C2×C4⋊C4—261no—
487C2×C4⋊C4—261no—
488C2×C4⋊C4—261no—
489C2×C4⋊C4—261no—
490C2×C4⋊C4—261no—
491C2×C4⋊C4—261no—
492C2×C4⋊C4C22×D1311yescharacteristic
493C2×C4⋊C4C22×D1311yescharacteristic
494C2×C22⋊C4—21no—
495C2×C22⋊C4—21no—
496C2×C22⋊C4—261no—
497C2×C22⋊C4—261no—
498C2×C22⋊C4—261no—
499C2×C22⋊C4—261no—
500C2×C42—131no—
501C2×C42—131no—
502C2×C42C22×D1311yescharacteristic
503#107—134no—
504#107—134no—
505#107—134no—
506#107—134no—
507#107—134no—
508#106—134no—
509#106—134no—
510#106—134no—
511#106C22×D1314yes—
512C4⋊C8—134no—
513C4⋊C8—134no—
514C4⋊C8—134no—
515#102—134no—
516#102—134no—
517#102—134no—
518#102—134no—
519#102C22×D1314yes—
520#102C22×D1314yes—
521#97—134no—
522#97C22×D1314yes—
523C4×C8—134no—
524C2×C13—44no—
525C2×C13—44no—
526C2×C13#338914yescomplemented
527C2×C13C2×D4×Q811yescharacteristic
528C2×C13C2×#57511yescharacteristic
529C2×C13C2×#57611yescharacteristic
530C24—21no—
531C24—21no—
532C2×Q8—134no—
533C2×Q8—264no—
534C2×Q8—264no—
535C2×Q8—522no—
536C2×Q8—1042no—
537C2×Q8—1042no—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—22no—
541C2×D4—22no—
542C2×D4C2×Dic2614yes—
543C2×D4C2×Dic2614yes—
544C2×D4C23×D1312yes—
545C2×D4C23×D1312yes—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—24no—
549C22×C4—24no—
550C22×C4—44no—
551C22×C4—82no—
552C22×C4—131no—
553C22×C4—131no—
554C22×C4—131no—
555C22×C4—131no—
556C22×C4—264no—
557C22×C4—264no—
558C22×C4—264no—
559C22×C4—264no—
560C22×C4—261no—
561C22×C4—261no—
562C22×C4—261no—
563C22×C4—261no—
564C22×C4—524no—
565C22×C4—1042no—
566C22×C4—1042no—
567C22×C4—1042no—
568C22×C4D4×D1311yescharacteristic
569C22×C4D4×D1311yescharacteristic
570C22×C4C23×D1311yescharacteristic
571D8C2×Dic26116yescomplemented
572C2×C8—22no—
573C2×C8—132no—
574C2×C8—132no—
575C2×C8—262no—
576C2×C8—262no—
577C2×C8C2×Dic2614yes—
578C2×C8C23×D1312yes—
579C2×C8C23×D1312yes—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—134no—
583C4⋊C4—134no—
584C4⋊C4—134no—
585C4⋊C4—132no—
586C4⋊C4—132no—
587C4⋊C4—132no—
588C4⋊C4—132no—
589C4⋊C4—264no—
590C4⋊C4—264no—
591C4⋊C4—264no—
592C4⋊C4—264no—
593C4⋊C4—264no—
594C4⋊C4—264no—
595C4⋊C4—264no—
596C4⋊C4—261no—
597C4⋊C4—261no—
598C4⋊C4—261no—
599C4⋊C4—261no—
600C4⋊C4—264no—
601C4⋊C4—264no—
602C4⋊C4—264no—
603C4⋊C4C23×D1312yes—
604C4⋊C4C23×D1312yes—
605C22⋊C4—24no—
606C22⋊C4—24no—
607C22⋊C4—264no—
608C22⋊C4—264no—
609C22⋊C4—264no—
610C22⋊C4—264no—
611C42—132no—
612C42—132no—
613C42—132no—
614C42—132no—
615C42D4×D1312yes—
616C42C23×D1312yes—
617C13C2×#338911yescharacteristic, complemented, Sylow
618C23—24no—
619C23—24no—
620C23—22no—
621C23—22no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23C2×D4×D1311yescharacteristic
627Q8—524no—
628Q8—1044no—
629Q8—1044no—
630D4—24no—
631D4—24no—
632D4—22no—
633D4—22no—
634D4C22×Dic2614yes—
635D4C22×Dic2614yes—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—48no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—84no—
644C2×C4—132no—
645C2×C4—132no—
646C2×C4—132no—
647C2×C4—132no—
648C2×C4—262no—
649C2×C4—262no—
650C2×C4—262no—
651C2×C4—262no—
652C2×C4—262no—
653C2×C4—262no—
654C2×C4—262no—
655C2×C4—262no—
656C2×C4—528no—
657C2×C4—522no—
658C2×C4—522no—
659C2×C4—522no—
660C2×C4—522no—
661C2×C4—1044no—
662C2×C4—1044no—
663C2×C4—1044no—
664C2×C4C22×Dic2612yes—
665C2×C4C2×D4×D1312yes—
666C2×C4C2×D4×D1312yes—
667C2×C4C2×D4×D1311yescharacteristic
668C2×C4#8825712yes—
669C2×C4C24×D1311yescharacteristic
670C8—22no—
671C8—262no—
672C8—262no—
673C8C22×Dic2614yes—
674C22—24no—
675C22—24no—
676C22—42no—
677C22—42no—
678C22—48no—
679C22—48no—
680C22—42no—
681C22—42no—
682C22D4×Dic2612yes—
683C22#1171947812yes—
684C22#1171947912yes—
685C22C22×D4×D1311yescharacteristic
686C4—22no—
687C4—22no—
688C4—42no—
689C4—42no—
690C4—262no—
691C4—262no—
692C4—262no—
693C4—262no—
694C4—522no—
695C4—522no—
696C4—522no—
697C4—522no—
698C4D4×Dic2612yes—
699C4C23×Dic2611yescharacteristic
700C4C2×#8825711yescharacteristic
701C2—44no—
702C2—44no—
703C2#1312779514yesdirect product factor
704C2C2×D4×Dic2611yescharacteristic
705C2C2×#1171947811yescharacteristic
706C2C2×#1171947911yescharacteristic
subgroupG/H
centerC23C2×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#442C2
socleC23×C13C22×D4
prime radicalC22×C13×D8C22
hypercenterC2×#442D13
hypocenterC13C2×#3389
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#442

Complements

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

NH ≅ G/Ntype
1. C2×#11719244C2semidirect
2. C2×#11719248C2semidirect
3. #13127795C2direct (N × H)
4. C2×#11718363C2semidirect
5. C2×#11718517C2semidirect
6. C2×#11718519C2semidirect
7. C2×#11718424C2semidirect
8. C2×#11718424C2semidirect
9. C2×#11718670C2semidirect
10. C2×#11718427C2semidirect
11. C2×#11718668C2semidirect
12. C2×#11718420C2semidirect
13. C2×#11718362C2semidirect
29. #11719248C22semidirect
31. #11719244C22semidirect
62. #11718670C22semidirect
63. #11718668C22semidirect
69. #11718519C22semidirect
70. #11718517C22semidirect
71. #11718427C22semidirect
72. #11718424C22semidirect
73. #11718424C22semidirect
74. #11718420C22semidirect
75. #11718363C22semidirect
76. #11718362C22semidirect
88. C2×C13×D8Q8semidirect
219. C13×D8C2×Q8semidirect
435. C2×D8Dic26semidirect
526. C2×C13#3389semidirect
571. D8C2×Dic26semidirect
617. C13C2×#3389semidirect
703. C2#13127795direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117192442
C2×#117192482
#131277952
C2×#117183632
C2×#117185172
C2×#117185192
C2×#117184242
C2×#117186702
C2×#117184272
C2×#117186682
C2×#117184202
C2×#117183622
C2×#117188132
C2×D8×Dic132
C2×C13×#4422
C2×#338913