Finite Group Databasebeta

← C2×#13127577 #16742643

Subgroups — C2×#13127577 #16742643

Order 3328.

1842 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×Q8×Dic26C211yesmaximal, characteristic, complemented
2C2×#11719273C211yesmaximal, characteristic
3#13127577C2116yesmaximal, direct product factor
4C2×#11718456C211yesmaximal, characteristic
5C2×#11718375C211yesmaximal, characteristic
6C2×#11718453C211yesmaximal, characteristic, complemented
7C2×#11718681C211yesmaximal, characteristic, complemented
8C2×#11718515C211yesmaximal, characteristic, complemented
9C2×#11718531C211yesmaximal, characteristic
10C2×#11718846C211yesmaximal, characteristic
11C2×#11718689C211yesmaximal, characteristic
12C2×#11718843C211yesmaximal, characteristic, complemented
13C2×#11718362C211yesmaximal, characteristic, complemented
14C2×#11718450C211yesmaximal, characteristic, complemented
15C2×#11718449C211yesmaximal, characteristic
16C2×C13×#441C211yesmaximal, characteristic, complemented
17C22×C13×Q16C2211yescharacteristic
18C2×C4×Q8×C13C2211yescharacteristic
19C2×C4×Q8×C13C2211yescharacteristic
20C2×#88201C2211yescharacteristic
21C2×Q8×Dic13C2211yescharacteristic
22C2×Q8×Dic13C2211yescharacteristic
23C2×#88198C2211yescharacteristic
24C22×#6107C2211yescharacteristic
25C22×#6106C2211yescharacteristic
26#11719273—24no—
27#11719273C2218yes—
28Q8×Dic26—24no—
29Q8×Dic26C2218yescomplemented
30C2×#88152—21no—
31C2×#88150—21no—
32C2×#88147C2211yescharacteristic
33C2×#88142—21no—
34C2×#88142—21no—
35C2×#88142C2211yescharacteristic
36C2×#88142C2211yescharacteristic
37C2×#88141C2211yescharacteristic
38C2×#88130—21no—
39C2×#88129C2211yescharacteristic
40C2×#88126—21no—
41C2×#88123—21no—
42C2×#88123C2211yescharacteristic
43C2×C4×Dic26—21no—
44C2×C4×Dic26C2211yescharacteristic
45C13×#441C2218yescomplemented
46C2×C13×#106C2211yescharacteristic
47C2×C13×#103C2211yescharacteristic
48C2×C13×#103C2211yescharacteristic
49C2×C13×#97C2211yescharacteristic
50C2×#88075C2211yescharacteristic
51C2×#88075C2211yescharacteristic
52#11718846C2218yes—
53#11718843C2218yescomplemented
54C2×#88061C2211yescharacteristic
55C2×#88061C2211yescharacteristic
56C2×#88056C2211yescharacteristic
57C2×#88056C2211yescharacteristic
58C2×#88055C2211yescharacteristic
59C2×#88054C2211yescharacteristic
60C2×#88054C2211yescharacteristic
61C2×C8×Dic13C2211yescharacteristic
62#11718689C2218yes—
63#11718681C2218yescomplemented
64C2×#88050C2211yescharacteristic
65C2×#88049C2211yescharacteristic
66C2×#88048C2211yescharacteristic
67C2×#88048C2211yescharacteristic
68C2×C4⋊#1055C2211yescharacteristic
69#11718531C2218yes—
70#11718515C2218yescomplemented
71#11718456C2218yes—
72#11718453C2218yescomplemented
73#11718450C2218yescomplemented
74#11718449C2218yes—
75#11718375C2218yes—
76#11718362C2218yescomplemented
77C22×Q8×C13C2311yescharacteristic
78C22×Q8×C13C2311yescharacteristic
79C22×D52C2311yescharacteristic
80C22×C4×D13—21no—
81C22×Dic26—21no—
82C22×Dic26—21no—
83C22×Dic26—21no—
84C22×Dic26D411yescharacteristic
85C22×Dic26C2311yescharacteristic
86C2×C13×Q16—24no—
87C2×C13×Q16C2314yes—
88C22×C8×C13C2311yescharacteristic
89C22×C8×C13C2311yescharacteristic
90C4×Q8×C13—22no—
91C4×Q8×C13—22no—
92C4×Q8×C13C2314yes—
93C4×Q8×C13C2314yes—
94C2×C13×C4⋊C4—21no—
95C2×C13×C4⋊C4—21no—
96C2×C13×C4⋊C4C2311yescharacteristic
97C2×C13×C4⋊C4C2311yescharacteristic
98C2×C42×C13—21no—
99C2×C42×C13—21no—
100C2×C42×C13C2311yescharacteristic
101#88201—22no—
102#88201C2314yes—
103Q8×Dic13—22no—
104Q8×Dic13—22no—
105Q8×Dic13C2314yes—
106Q8×Dic13C2314yes—
107#88198—22no—
108#88198C2314yes—
109C2×#6107—24no—
110C2×#6107C2314yes—
111C2×#6106—24no—
112C2×#6106C2314yes—
113C2×#6103—21no—
114C2×#6103—21no—
115C2×#6103—21no—
116C2×#6103—21no—
117C2×#6103—21no—
118C2×C4⋊Dic13—21no—
119C2×C4⋊Dic13—21no—
120C2×C4⋊Dic13—21no—
121C2×C4⋊Dic13D411yescharacteristic
122C2×C4⋊Dic13C2311yescharacteristic
123C2×C4⋊Dic13C2311yescharacteristic
124C2×#6101—21no—
125C2×#6101—21no—
126C2×#6101—21no—
127C2×#6101—21no—
128C2×#6101—21no—
129C2×#6101D411yescharacteristic
130C2×#6101D411yescharacteristic
131C2×C4×Dic13—21no—
132C2×C4×Dic13—21no—
133C2×C4×Dic13—21no—
134C2×C4×Dic13C2311yescharacteristic
135C2×C4×Dic13C2311yescharacteristic
136C22×#1055C2311yescharacteristic
137C22×#1055C2311yescharacteristic
138#88152—28no—
139#88150—28no—
140#88147—22no—
141#88147C2314yes—
142#88142—28no—
143#88142—28no—
144#88142—22no—
145#88142—22no—
146#88142C2314yes—
147#88142C2314yes—
148#88141—22no—
149#88141C2314yes—
150#88130—28no—
151#88129—22no—
152#88129C2314yes—
153#88126—28no—
154#88123—22no—
155#88123—28no—
156#88123C2314yes—
157C4×Dic26—28no—
158C4×Dic26D414yes—
159C4×Dic26C2314yes—
160C13×#106C2314yes—
161C13×#103C2314yes—
162C13×#103C2314yes—
163C13×#97C2314yes—
164#88075C2314yes—
165#88075C2314yes—
166#88061C2314yes—
167#88061C2314yes—
168#88056C2314yes—
169#88056C2314yes—
170#88055C2314yes—
171#88054C2314yes—
172#88054C2314yes—
173C8×Dic13C2314yes—
174#88050C2314yes—
175#88049C2314yes—
176#88048C2314yes—
177#88048C2314yes—
178C4⋊#1055C2314yes—
179C2×#3369—131nomaximal, Sylow
180C23×D13—21no—
181C2×Q8×C13—21no—
182C2×Q8×C13—21no—
183C2×Q8×C13—22no—
184C2×Q8×C13—22no—
185C2×Q8×C13—22no—
186C2×Q8×C13#4114yes—
187C2×Q8×C13C2412yes—
188C2×Q8×C13C2412yes—
189C22×C4×C13—21no—
190C22×C4×C13—21no—
191C22×C4×C13—21no—
192C22×C4×C13—21no—
193C22×C4×C13C2×D411yescharacteristic
194C22×C4×C13C2×D411yescharacteristic
195C22×C4×C13C2411yescharacteristic
196C22×Dic13—21no—
197C22×Dic13—21no—
198C22×Dic13—21no—
199C22×Dic13C2×D411yescharacteristic
200C22×Dic13C2×D411yescharacteristic
201C22×Dic13C2×D411yescharacteristic
202C22×Dic13C2×D411yescharacteristic
203C2×D52—22no—
204C2×D52—22no—
205C2×D52—21no—
206C2×D52C2412yes—
207C2×C4×D13—24no—
208C2×C4×D13—44no—
209C2×Dic26—24no—
210C2×Dic26—22no—
211C2×Dic26—22no—
212C2×Dic26—21no—
213C2×Dic26—24no—
214C2×Dic26—24no—
215C2×Dic26—24no—
216C2×Dic26—82no—
217C2×Dic26—82no—
218C2×Dic26—82no—
219C2×Dic26C2×D414yes—
220C2×Dic26C2412yes—
221C13×Q16—28no—
222C2×C8×C13—22no—
223C2×C8×C13—22no—
224C2×C8×C13C2412yes—
225C2×C8×C13C2412yes—
226C13×C4⋊C4—21no—
227C13×C4⋊C4—24no—
228C13×C4⋊C4—21no—
229C13×C4⋊C4—24no—
230C13×C4⋊C4C2412yes—
231C13×C4⋊C4C2412yes—
232C42×C13—24no—
233C42×C13—24no—
234C42×C13C2×D412yes—
235C42×C13C2412yes—
236#6107—28no—
237#6106—28no—
238#6103—24no—
239#6103—24no—
240#6103—24no—
241#6103—24no—
242#6103—24no—
243C4⋊Dic13—24no—
244C4⋊Dic13—21no—
245C4⋊Dic13—21no—
246C4⋊Dic13—24no—
247C4⋊Dic13—24no—
248C4⋊Dic13C2×D414yes—
249C4⋊Dic13C2412yes—
250C4⋊Dic13C2412yes—
251#6101—24no—
252#6101—24no—
253#6101—24no—
254#6101—24no—
255#6101—24no—
256#6101C2×D414yes—
257#6101C2×D414yes—
258C4×Dic13—24no—
259C4×Dic13—24no—
260C4×Dic13—24no—
261C4×Dic13C2×D412yes—
262C4×Dic13C2×D412yes—
263C4×Dic13C2412yes—
264C4×Dic13C2412yes—
265C2×#1055—22no—
266C2×#1055—22no—
267C2×#1055C2412yes—
268C2×#1055C2412yes—
269C2×Q82—131no—
270C2×#556—131no—
271#3369—1316no—
272C2×#489—131no—
273C2×#489—131no—
274C2×#487—131no—
275C2×#475—131no—
276C2×#475—131no—
277C2×#476—131no—
278C2×#464—131no—
279C2×#464—131no—
280C2×#462—131no—
281C2×#446—131no—
282C2×#441—131no—
283C2×#441D1311yescharacteristic, complemented
284C2×C4×SD16—131no—
285C23×C13C22×D411yescharacteristic
286C22×D13—22no—
287C22×D13—42no—
288C22×D13—42no—
289C22×D13—42no—
290Q8×C13—24no—
291Q8×C13—22no—
292Q8×C13—22no—
293Q8×C13—22no—
294Q8×C13—42no—
295Q8×C13C2×#4114yes—
296C2×C4×C13—24no—
297C2×C4×C13—22no—
298C2×C4×C13—22no—
299C2×C4×C13—22no—
300C2×C4×C13—22no—
301C2×C4×C13—22no—
302C2×C4×C13—22no—
303C2×C4×C13—42no—
304C2×C4×C13—42no—
305C2×C4×C13—42no—
306C2×C4×C13C22×D412yes—
307C2×C4×C13C22×D412yes—
308C2×C4×C13C22×D411yescharacteristic
309C2×C4×C13C2×#4112yes—
310C2×C4×C132−1+412yes—
311C2×C4×C13C2511yescharacteristic
312C2×Dic13—22no—
313C2×Dic13—22no—
314C2×Dic13—22no—
315C2×Dic13—22no—
316C2×Dic13—22no—
317C2×Dic13—22no—
318C2×Dic13—42no—
319C2×Dic13—42no—
320C2×Dic13—42no—
321C2×Dic13#13714yes—
322C2×Dic13C22×D412yes—
323C2×Dic13C22×D412yes—
324C2×Dic13C22×D412yes—
325C2×Dic13C22×D412yes—
326D52—22no—
327D52—22no—
328D52—42no—
329C4×D13—48no—
330Dic26—28no—
331Dic26—22no—
332Dic26—22no—
333Dic26—42no—
334Dic26—84no—
335Dic26—84no—
336Dic26—84no—
337C8×C13—22no—
338C8×C13—22no—
339#1055—22no—
340#1055—22no—
341C22×Q16—131no—
342C22×Q16C2×D1311yescharacteristic
343C22×SD16—131no—
344Q82—138no—
345Q82—264no—
346#556—138no—
347#556—264no—
348C2×C4⋊Q8—131no—
349C2×C4⋊Q8—131no—
350C2×C4⋊Q8—131no—
351C2×C4⋊Q8—131no—
352C2×C4⋊Q8—261no—
353C2×C4⋊Q8—261no—
354C2×C4⋊Q8—261no—
355C2×#126—261no—
356C2×#126—261no—
357C2×#124—131no—
358C2×#124—131no—
359C2×C22⋊Q8—261no—
360C2×C4×Q8—131no—
361C2×C4×Q8—131no—
362C2×C4×Q8—131no—
363C2×C4×Q8—131no—
364C2×C4×Q8—261no—
365C2×C4×Q8C2×D1311yescharacteristic
366C2×C4×Q8C2×D1311yescharacteristic
367C2×C4×D4—131no—
368C2×#117—261no—
369#489—138no—
370#489—138no—
371#487—138no—
372#476—138no—
373#475—138no—
374#475—138no—
375#464—138no—
376#464—138no—
377#462—138no—
378#446—138no—
379#441—138no—
380#441C2×D1318yescomplemented
381C4×SD16—138no—
382C2×#106—131no—
383C2×#106—131no—
384C2×#106C2×D1311yescharacteristic
385C2×C4⋊C8—131no—
386C2×C4⋊C8—131no—
387C2×C4⋊C8—131no—
388C2×#103—131no—
389C2×#103—131no—
390C2×#103—131no—
391C2×#103—131no—
392C2×#103—131no—
393C2×#103C2×D1311yescharacteristic
394C2×#103C2×D1311yescharacteristic
395C2×#102—131no—
396C2×#102—131no—
397C2×#102—131no—
398C2×#97—131no—
399C2×#97C2×D1311yescharacteristic
400C2×C4×C8—131no—
401C22×C13#54812yes—
402C22×C13C2×#13712yes—
403C22×C13#57712yes—
404C22×C13C23×D411yescharacteristic
405C2×D13—42no—
406C2×D13—42no—
407C2×D13—42no—
408C2×D13—84no—
409C4×C13—24no—
410C4×C13—22no—
411C4×C13—22no—
412C4×C13—42no—
413C4×C13—42no—
414C4×C13—42no—
415C4×C13#54812yes—
416C4×C13C22×#4111yescharacteristic
417C4×C13C2×2−1+411yescharacteristic
418Dic13—22no—
419Dic13—22no—
420Dic13—22no—
421Dic13—42no—
422Dic13—42no—
423Dic13—42no—
424Dic13C2×#13714yes—
425C22×Q8—131no—
426C22×Q8—131no—
427C22×Q8—261no—
428C22×Q8—261no—
429C22×Q8—261no—
430C22×Q8C22×D1311yescharacteristic
431C22×Q8C22×D1311yescharacteristic
432C22×D4—131no—
433C23×C4—261no—
434C2×Q16—24no—
435C2×Q16—134no—
436C2×Q16—264no—
437C2×Q16C22×D1314yes—
438C2×SD16—134no—
439C2×SD16—264no—
440C22×C8—131no—
441C22×C8—131no—
442C22×C8C22×D1311yescharacteristic
443C22×C8C22×D1311yescharacteristic
444C4⋊Q8—134no—
445C4⋊Q8—134no—
446C4⋊Q8—134no—
447C4⋊Q8—134no—
448C4⋊Q8—268no—
449C4⋊Q8—262no—
450C4⋊Q8—262no—
451C4⋊Q8—262no—
452C4⋊Q8—268no—
453C4⋊Q8—268no—
454C4⋊Q8—262no—
455#126—268no—
456#126—268no—
457#124—134no—
458#124—134no—
459#124—262no—
460#124—262no—
461C22⋊Q8—268no—
462C4×Q8—22no—
463C4×Q8—22no—
464C4×Q8—134no—
465C4×Q8—134no—
466C4×Q8—134no—
467C4×Q8—134no—
468C4×Q8—134no—
469C4×Q8—268no—
470C4×Q8—262no—
471C4×Q8—262no—
472C4×Q8—262no—
473C4×Q8C22×D1314yes—
474C4×Q8C22×D1314yes—
475C4×D4—134no—
476C4×D4—262no—
477#117—268no—
478C2×C4⋊C4—21no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—131no—
481C2×C4⋊C4—131no—
482C2×C4⋊C4—131no—
483C2×C4⋊C4—131no—
484C2×C4⋊C4—131no—
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⋊C4—261no—
493C2×C4⋊C4C22×D1311yescharacteristic
494C2×C4⋊C4C22×D1311yescharacteristic
495C2×C22⋊C4—261no—
496C2×C22⋊C4—261no—
497C2×C22⋊C4—261no—
498C2×C22⋊C4—261no—
499C2×C22⋊C4—261no—
500C2×C42—21no—
501C2×C42—21no—
502C2×C42—131no—
503C2×C42—131no—
504C2×C42—261no—
505C2×C42—261no—
506C2×C42—261no—
507C2×C42C22×D1311yescharacteristic
508#106—134no—
509#106—134no—
510#106C22×D1314yes—
511C4⋊C8—134no—
512C4⋊C8—134no—
513C4⋊C8—134no—
514#103—134no—
515#103—134no—
516#103—134no—
517#103—134no—
518#103—134no—
519#103C22×D1314yes—
520#103C22×D1314yes—
521#102—134no—
522#102—134no—
523#102—134no—
524#97—134no—
525#97C22×D1314yes—
526C4×C8—134no—
527C2×C13#336914yescomplemented
528C2×C13C2×#54811yescharacteristic
529C2×C13C22×#13711yescharacteristic
530C2×C13C2×#57711yescharacteristic
531D13—82no—
532C24—261no—
533C2×Q8—21no—
534C2×Q8—21no—
535C2×Q8—22no—
536C2×Q8—22no—
537C2×Q8—22no—
538C2×Q8—134no—
539C2×Q8—132no—
540C2×Q8—264no—
541C2×Q8—264no—
542C2×Q8—264no—
543C2×Q8—261no—
544C2×Q8—264no—
545C2×Q8—262no—
546C2×Q8—262no—
547C2×Q8—1042no—
548C2×Q8—1042no—
549C2×Q8—1042no—
550C2×Q8#612714yes—
551C2×Q8C23×D1312yes—
552C2×Q8C23×D1312yes—
553C2×D4—132no—
554C2×D4—262no—
555C2×D4—261no—
556C2×D4—262no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—131no—
562C22×C4—131no—
563C22×C4—131no—
564C22×C4—131no—
565C22×C4—264no—
566C22×C4—261no—
567C22×C4—261no—
568C22×C4—261no—
569C22×C4—524no—
570C22×C4D4×D1311yescharacteristic
571C22×C4D4×D1311yescharacteristic
572C22×C4C23×D1311yescharacteristic
573Q16—28no—
574Q16—268no—
575SD16—268no—
576C2×C8—22no—
577C2×C8—22no—
578C2×C8—132no—
579C2×C8—132no—
580C2×C8—262no—
581C2×C8—262no—
582C2×C8C23×D1312yes—
583C2×C8C23×D1312yes—
584C4⋊C4—24no—
585C4⋊C4—24no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—134no—
589C4⋊C4—134no—
590C4⋊C4—134no—
591C4⋊C4—132no—
592C4⋊C4—132no—
593C4⋊C4—264no—
594C4⋊C4—264no—
595C4⋊C4—264no—
596C4⋊C4—264no—
597C4⋊C4—264no—
598C4⋊C4—264no—
599C4⋊C4—264no—
600C4⋊C4—261no—
601C4⋊C4—261no—
602C4⋊C4—264no—
603C4⋊C4C23×D1312yes—
604C4⋊C4C23×D1312yes—
605C22⋊C4—264no—
606C22⋊C4—264no—
607C22⋊C4—264no—
608C22⋊C4—264no—
609C22⋊C4—264no—
610C42—24no—
611C42—24no—
612C42—132no—
613C42—132no—
614C42—132no—
615C42—132no—
616C42—264no—
617C42—264no—
618C42—264no—
619C42D4×D1312yes—
620C42C23×D1312yes—
621C13C2×#336911yescharacteristic, complemented, Sylow
622C23—262no—
623C23—522no—
624C23—522no—
625C23—522no—
626C23C2×D4×D1311yescharacteristic
627Q8—24no—
628Q8—22no—
629Q8—22no—
630Q8—22no—
631Q8—42no—
632Q8—268no—
633Q8—262no—
634Q8—262no—
635Q8—522no—
636Q8—1044no—
637Q8—1044no—
638Q8—1044no—
639Q8C2×#612714yes—
640D4—262no—
641D4—262no—
642D4—522no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—24no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—134no—
654C2×C4—132no—
655C2×C4—132no—
656C2×C4—132no—
657C2×C4—132no—
658C2×C4—262no—
659C2×C4—262no—
660C2×C4—262no—
661C2×C4—262no—
662C2×C4—262no—
663C2×C4—262no—
664C2×C4—528no—
665C2×C4—522no—
666C2×C4—522no—
667C2×C4—522no—
668C2×C4C2×#612712yes—
669C2×C4C2×D4×D1312yes—
670C2×C4C2×D4×D1312yes—
671C2×C4C2×D4×D1311yescharacteristic
672C2×C4#8825712yes—
673C2×C4C24×D1311yescharacteristic
674C8—22no—
675C8—22no—
676C8—262no—
677C8—262no—
678C22—522no—
679C22—522no—
680C22—522no—
681C22—1044no—
682C22#1171925712yes—
683C22D13×#13712yes—
684C22#1171948312yes—
685C22C22×D4×D1311yescharacteristic
686C4—22no—
687C4—24no—
688C4—22no—
689C4—42no—
690C4—42no—
691C4—42no—
692C4—134no—
693C4—262no—
694C4—262no—
695C4—262no—
696C4—522no—
697C4—522no—
698C4—522no—
699C4#1171925712yes—
700C4C22×#612711yescharacteristic
701C4C2×#8825711yescharacteristic
702C2—1042no—
703C2#1312757714yesdirect product factor
704C2C2×#1171925711yescharacteristic
705C2C2×D13×#13711yescharacteristic
706C2C2×#1171948311yescharacteristic
subgroupG/H
centerC23C2×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#441C2
socleC23×C13C22×D4
prime radicalC22×D52C23
hypercenterC2×#441D13
hypocenterC13C2×#3369
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#441

Complements

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

NH ≅ G/Ntype
1. C2×Q8×Dic26C2semidirect
3. #13127577C2direct (N × H)
6. C2×#11718453C2semidirect
7. C2×#11718681C2semidirect
8. C2×#11718515C2semidirect
12. C2×#11718843C2semidirect
13. C2×#11718362C2semidirect
14. C2×#11718450C2semidirect
16. C2×C13×#441C2semidirect
29. Q8×Dic26C22semidirect
45. C13×#441C22semidirect
53. #11718843C22semidirect
63. #11718681C22semidirect
70. #11718515C22semidirect
72. #11718453C22semidirect
73. #11718450C22semidirect
76. #11718362C22semidirect
283. C2×#441D13semidirect
380. #441C2×D13semidirect
527. C2×C13#3369semidirect
621. C13C2×#3369semidirect
703. C2#13127577direct (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×#117192732
#131275772
C2×#117184562
C2×#117183752
C2×#117184532
C2×#117186812
C2×#117185152
C2×#117185312
C2×#117188462
C2×#117186892
C2×#117188432
C2×#117183622
C2×#117184502
C2×#117184492
C2×C13×#4412
C2×#336913