Finite Group Databasebeta

← C2×#13126136 #16735158

Subgroups — C2×#13126136 #16735158

Order 3328.

1742 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719224C211yesmaximal, characteristic, complemented
2C2×#11719239C211yesmaximal, characteristic
3#13126136C2116yesmaximal, direct product factor
4C2×#11718363C211yesmaximal, characteristic, complemented
5C2×#11718341C211yesmaximal, characteristic, complemented
6C2×#11718375C211yesmaximal, characteristic, complemented
7C2×#11718358C211yesmaximal, characteristic, complemented
8C2×#11718396C211yesmaximal, characteristic
9C2×#11718384C211yesmaximal, characteristic, complemented
10C2×#11718398C211yesmaximal, characteristic
11C2×#11718382C211yesmaximal, characteristic, complemented
12C2×#11718490C211yesmaximal, characteristic, complemented
13C2×#11718512C211yesmaximal, characteristic, complemented
14C2×#11718508C211yesmaximal, characteristic, complemented
15C2×#11718503C211yesmaximal, characteristic, complemented
16C2×C13×#433C211yesmaximal, characteristic, complemented
17C2×C13×#117C2211yescharacteristic
18C2×#88184C2211yescharacteristic
19C2×#88180C2211yescharacteristic
20C22×C4⋊Dic13C2211yescharacteristic
21C2×#88178C2211yescharacteristic
22#11719239—24no—
23#11719239C2218yes—
24#11719224—24no—
25#11719224C2218yescomplemented
26C2×#88152—21no—
27C2×#88150—21no—
28C2×#88144—21no—
29C2×#88142—21no—
30C2×#88139—21no—
31C2×#88137—21no—
32C2×#88132—21no—
33C2×#88132—21no—
34C2×#88129C2211yescharacteristic
35C2×C4×D52C2211yescharacteristic
36C2×#88124C2211yescharacteristic
37C2×#88124C2211yescharacteristic
38C2×#88123C2211yescharacteristic
39C2×#88123C2211yescharacteristic
40C2×#88123C2211yescharacteristic
41C2×C4×Dic26C2211yescharacteristic
42C13×#433C2218yescomplemented
43C2×C13×C4⋊C8C2211yescharacteristic
44C2×C13×C4⋊C8C2211yescharacteristic
45C2×C13×C22⋊C8C2211yescharacteristic
46C2×C13×C22⋊C8C2211yescharacteristic
47C2×C13×#97C2211yescharacteristic
48C2×C4×C8×C13C2211yescharacteristic
49C2×#88061C2211yescharacteristic
50C2×#88061C2211yescharacteristic
51C2×#88061C2211yescharacteristic
52C2×#88061C2211yescharacteristic
53C2×#88058C2211yescharacteristic
54C2×#88058C2211yescharacteristic
55C2×#88057C2211yescharacteristic
56C2×#88057C2211yescharacteristic
57C2×#88057C2211yescharacteristic
58C2×#88057C2211yescharacteristic
59C2×#88057C2211yescharacteristic
60C2×#88057C2211yescharacteristic
61C2×#88056C2211yescharacteristic
62C2×#88056C2211yescharacteristic
63C2×#88056C2211yescharacteristic
64C2×#88056C2211yescharacteristic
65#11718512C2218yescomplemented
66#11718508C2218yescomplemented
67#11718503C2218yescomplemented
68#11718490C2218yescomplemented
69#11718398C2218yes—
70#11718396C2218yes—
71#11718384C2218yescomplemented
72#11718382C2218yescomplemented
73#11718375C2218yescomplemented
74#11718363C2218yescomplemented
75#11718358C2218yescomplemented
76#11718341C2218yescomplemented
77C23×C4×C13C2311yescharacteristic
78C22×C22⋊D13—21no—
79C23×Dic13—21no—
80C22×D52C2311yescharacteristic
81C22×C4×D13—21no—
82C22×Dic26—21no—
83C22×Dic26—21no—
84C22×Dic26—21no—
85C22×Dic26C2311yescharacteristic
86C22×C8×C13C2311yescharacteristic
87C22×C8×C13C2311yescharacteristic
88C22×C8×C13C2311yescharacteristic
89C22×C8×C13C2311yescharacteristic
90C13×#117D414yes—
91C13×#117C2314yes—
92C2×C13×C4⋊C4D411yescharacteristic
93C2×C13×C4⋊C4D411yescharacteristic
94C2×C13×C22⋊C4D411yescharacteristic
95C2×C13×C22⋊C4D411yescharacteristic
96C2×C42×C13C2311yescharacteristic
97C2×C42×C13C2311yescharacteristic
98C2×C22⋊Dic13—21no—
99C2×C22⋊Dic13—21no—
100#88184—22no—
101#88184C2314yes—
102C2×#6103—21no—
103C2×#6103—21no—
104C2×#6103—21no—
105C2×#6103—21no—
106#88180—22no—
107#88180C2314yes—
108C2×C4⋊Dic13—21no—
109C2×C4⋊Dic13—21no—
110C2×C4⋊Dic13—21no—
111C2×C4⋊Dic13—21no—
112C2×C4⋊Dic13—22no—
113C2×C4⋊Dic13C2311yescharacteristic
114C2×C4⋊Dic13C2311yescharacteristic
115C2×C4⋊Dic13C2311yescharacteristic
116C2×C4⋊Dic13C2311yescharacteristic
117C2×C4⋊Dic13C2311yescharacteristic
118C2×C4⋊Dic13C2311yescharacteristic
119C2×C4⋊Dic13C2314yes—
120#88178—22no—
121#88178C2314yes—
122C2×#6101—21no—
123C2×#6101—21no—
124C2×#6101—21no—
125C2×#6101—21no—
126C2×#6101—21no—
127C2×#6101—21no—
128C2×C4×Dic13—21no—
129C2×C4×Dic13—21no—
130#88152—28no—
131#88150—28no—
132#88144—28no—
133#88142—28no—
134#88139—28no—
135#88137—28no—
136#88132—28no—
137#88132—28no—
138#88129—22no—
139#88129C2314yes—
140C4×D52—22no—
141C4×D52C2314yes—
142#88124—22no—
143#88124—22no—
144#88124C2314yes—
145#88124C2314yes—
146#88123—22no—
147#88123—22no—
148#88123—22no—
149#88123C2314yes—
150#88123C2314yes—
151#88123C2314yes—
152C4×Dic26—22no—
153C4×Dic26C2314yes—
154C13×C4⋊C8C2314yes—
155C13×C4⋊C8C2314yes—
156C13×C22⋊C8C2314yes—
157C13×C22⋊C8C2314yes—
158C13×#97C2314yes—
159C4×C8×C13C2314yes—
160#88061C2314yes—
161#88061C2314yes—
162#88061C2314yes—
163#88061C2314yes—
164#88058C2314yes—
165#88058C2314yes—
166#88057C2314yes—
167#88057C2314yes—
168#88057C2314yes—
169#88057C2314yes—
170#88057C2314yes—
171#88057C2314yes—
172#88056C2314yes—
173#88056C2314yes—
174#88056C2314yes—
175#88056C2314yes—
176C2×#3244—131nomaximal, Sylow
177C24×C13C2×D411yescharacteristic
178C23×D13—21no—
179C22×C4×C13—22no—
180C22×C4×C13—22no—
181C22×C4×C13C2×D411yescharacteristic
182C22×C4×C13C2×D411yescharacteristic
183C22×C4×C13C2×D411yescharacteristic
184C22×C4×C13C2×D411yescharacteristic
185C22×C4×C13C2×D411yescharacteristic
186C22×C4×C13C2×D412yes—
187C22×C4×C13C2412yes—
188C22×C4×C13C2411yescharacteristic
189C2×C22⋊D13—24no—
190C2×C22⋊D13—82no—
191C22×Dic13—21no—
192C22×Dic13—21no—
193C22×Dic13—21no—
194C22×Dic13—21no—
195C22×Dic13—21no—
196C22×Dic13—21no—
197C22×Dic13—21no—
198C22×Dic13—24no—
199C22×Dic13—82no—
200C2×D52—22no—
201C2×D52—22no—
202C2×D52—21no—
203C2×D52C2412yes—
204C2×C4×D13—24no—
205C2×C4×D13—82no—
206C2×Dic26—22no—
207C2×Dic26—22no—
208C2×Dic26—21no—
209C2×Dic26—24no—
210C2×Dic26—24no—
211C2×Dic26—24no—
212C2×Dic26—82no—
213C2×Dic26—82no—
214C2×Dic26—82no—
215C2×Dic26C2412yes—
216C2×C8×C13—22no—
217C2×C8×C13—22no—
218C2×C8×C13—22no—
219C2×C8×C13—22no—
220C2×C8×C13C2412yes—
221C2×C8×C13C2412yes—
222C2×C8×C13C2412yes—
223C2×C8×C13C2412yes—
224C13×C4⋊C4C2×D414yes—
225C13×C4⋊C4C2×D414yes—
226C13×C22⋊C4C2×D414yes—
227C13×C22⋊C4C2×D414yes—
228C42×C13C2×D412yes—
229C42×C13C2×D412yes—
230C42×C13C2412yes—
231C42×C13C2412yes—
232C22⋊Dic13—24no—
233C22⋊Dic13—24no—
234#6103—24no—
235#6103—24no—
236#6103—24no—
237#6103—24no—
238C4⋊Dic13—21no—
239C4⋊Dic13—21no—
240C4⋊Dic13—21no—
241C4⋊Dic13—21no—
242C4⋊Dic13—21no—
243C4⋊Dic13—24no—
244C4⋊Dic13—24no—
245C4⋊Dic13—24no—
246C4⋊Dic13—21no—
247C4⋊Dic13—24no—
248C4⋊Dic13C2412yes—
249C4⋊Dic13C2412yes—
250C4⋊Dic13C2412yes—
251C4⋊Dic13C2412yes—
252C4⋊Dic13C2412yes—
253C4⋊Dic13C2412yes—
254#6101—24no—
255#6101—24no—
256#6101—24no—
257#6101—24no—
258#6101—24no—
259#6101—24no—
260C4×Dic13—24no—
261C4×Dic13—24no—
262C2×#544—131no—
263C2×#542—131no—
264#3244—1316no—
265C2×#501—131no—
266C2×#498—131no—
267C2×#489—131no—
268C2×#488—131no—
269C2×#481—131no—
270C2×#485—131no—
271C2×#482—131no—
272C2×#483—131no—
273C2×#479—131no—
274C2×#475—131no—
275C2×#478—131no—
276C2×#476—131no—
277C2×#433D1311yescharacteristic, complemented
278C23×C13—22no—
279C23×C13—22no—
280C23×C13—22no—
281C23×C13C22×D412yes—
282C23×C13C22×D411yescharacteristic
283C22×D13—22no—
284C22×D13—42no—
285C22×D13—42no—
286C22×D13—42no—
287C2×C4×C13—22no—
288C2×C4×C13—22no—
289C2×C4×C13—22no—
290C2×C4×C13—22no—
291C2×C4×C13—22no—
292C2×C4×C13—24no—
293C2×C4×C13—22no—
294C2×C4×C13—22no—
295C2×C4×C13C22×D412yes—
296C2×C4×C13C22×D412yes—
297C2×C4×C13C22×D412yes—
298C2×C4×C13C22×D412yes—
299C2×C4×C13C22×D412yes—
300C2×C4×C13C22×D411yescharacteristic
301C2×C4×C132−1+412yes—
302C2×C4×C132−1+412yes—
303C2×C4×C13C2511yescharacteristic
304C22⋊D13—84no—
305C2×Dic13—22no—
306C2×Dic13—22no—
307C2×Dic13—22no—
308C2×Dic13—22no—
309C2×Dic13—22no—
310C2×Dic13—22no—
311C2×Dic13—22no—
312C2×Dic13—42no—
313C2×Dic13—42no—
314C2×Dic13—42no—
315C2×Dic13—42no—
316C2×Dic13—42no—
317C2×Dic13—42no—
318C2×Dic13—42no—
319C2×Dic13—84no—
320D52—22no—
321D52—22no—
322D52—42no—
323C4×D13—84no—
324Dic26—22no—
325Dic26—22no—
326Dic26—42no—
327Dic26—84no—
328Dic26—84no—
329Dic26—84no—
330C8×C13—22no—
331C8×C13—22no—
332C8×C13—22no—
333C8×C13—22no—
334#544—138no—
335#544—264no—
336#542—138no—
337#542—264no—
338C2×C4⋊Q8—131no—
339C2×C4⋊Q8—131no—
340C2×C4⋊Q8—131no—
341C2×C4⋊Q8—261no—
342C2×#126—261no—
343C2×#125—131no—
344C2×#125—131no—
345C2×#125—261no—
346C2×#124—131no—
347C2×#124—261no—
348C2×#123—261no—
349C2×C22⋊Q8—131no—
350C2×C22⋊Q8—261no—
351C2×C22⋊Q8—261no—
352C2×C22⋊Q8—261no—
353C2×#121—131no—
354C2×C4×Q8—131no—
355C2×C4×D4—131no—
356C2×#117—131no—
357C2×#117C2×D1311yescharacteristic
358C22×C4⋊C4—131no—
359#501—138no—
360#498—138no—
361#489—138no—
362#488—138no—
363#485—138no—
364#483—138no—
365#482—138no—
366#481—138no—
367#479—138no—
368#478—138no—
369#476—138no—
370#475—138no—
371#433C2×D1318yescomplemented
372C2×#107—131no—
373C2×#107—131no—
374C2×#106—131no—
375C2×#106—131no—
376C2×#106—131no—
377C2×#106—131no—
378C2×#106—131no—
379C2×#106—131no—
380C2×C4⋊C8C2×D1311yescharacteristic
381C2×C4⋊C8C2×D1311yescharacteristic
382C2×#103—131no—
383C2×#103—131no—
384C2×#103—131no—
385C2×#103—131no—
386C2×#102—131no—
387C2×#102—131no—
388C2×#102—131no—
389C2×#102—131no—
390C2×C22⋊C8C2×D1311yescharacteristic
391C2×C22⋊C8C2×D1311yescharacteristic
392C2×#97C2×D1311yescharacteristic
393C2×C4×C8C2×D1311yescharacteristic
394C22×C13—22no—
395C22×C13—22no—
396C22×C13—22no—
397C22×C13—44no—
398C22×C13#53612yes—
399C22×C13#57712yes—
400C22×C13#57712yes—
401C22×C13C23×D411yescharacteristic
402C2×D13—42no—
403C2×D13—42no—
404C2×D13—42no—
405C2×D13—84no—
406C4×C13—22no—
407C4×C13—22no—
408C4×C13—22no—
409C4×C13—22no—
410C4×C13—22no—
411C4×C13#53612yes—
412C4×C13C2×2−1+411yescharacteristic
413C4×C13C2×2−1+411yescharacteristic
414Dic13—42no—
415Dic13—42no—
416Dic13—42no—
417Dic13—42no—
418Dic13—42no—
419Dic13—42no—
420Dic13—42no—
421C22×Q8—131no—
422C22×Q8—261no—
423C22×Q8—261no—
424C22×Q8—261no—
425C22×D4—131no—
426C22×D4—261no—
427C23×C4—261no—
428C23×C4—261no—
429C23×C4C22×D1311yescharacteristic
430C22×C8C22×D1311yescharacteristic
431C22×C8C22×D1311yescharacteristic
432C22×C8C22×D1311yescharacteristic
433C22×C8C22×D1311yescharacteristic
434C4⋊Q8—134no—
435C4⋊Q8—134no—
436C4⋊Q8—134no—
437C4⋊Q8—268no—
438C4⋊Q8—262no—
439C4⋊Q8—262no—
440C4⋊Q8—262no—
441#126—268no—
442#125—134no—
443#125—134no—
444#125—268no—
445#125—262no—
446#125—262no—
447#124—134no—
448#124—268no—
449#124—262no—
450#123—268no—
451C22⋊Q8—134no—
452C22⋊Q8—262no—
453C22⋊Q8—268no—
454C22⋊Q8—268no—
455C22⋊Q8—268no—
456#121—134no—
457#121—262no—
458C4×Q8—134no—
459C4×Q8—262no—
460C4×D4—134no—
461C4×D4—262no—
462#117—134no—
463#117—262no—
464#117D5214yes—
465#117C22×D1314yes—
466C2×C4⋊C4—131no—
467C2×C4⋊C4—131no—
468C2×C4⋊C4—134no—
469C2×C4⋊C4—131no—
470C2×C4⋊C4—131no—
471C2×C4⋊C4—131no—
472C2×C4⋊C4—131no—
473C2×C4⋊C4—261no—
474C2×C4⋊C4—262no—
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⋊C4D5211yescharacteristic
485C2×C4⋊C4D5211yescharacteristic
486C2×C22⋊C4—261no—
487C2×C22⋊C4—261no—
488C2×C22⋊C4—261no—
489C2×C22⋊C4—261no—
490C2×C22⋊C4—261no—
491C2×C22⋊C4—261no—
492C2×C22⋊C4D5211yescharacteristic
493C2×C22⋊C4D5211yescharacteristic
494C2×C42—261no—
495C2×C42—261no—
496C2×C42C22×D1311yescharacteristic
497C2×C42C22×D1311yescharacteristic
498#107—134no—
499#107—134no—
500#106—134no—
501#106—134no—
502#106—134no—
503#106—134no—
504#106—134no—
505#106—134no—
506C4⋊C8C22×D1314yes—
507C4⋊C8C22×D1314yes—
508#103—134no—
509#103—134no—
510#103—134no—
511#103—134no—
512#102—134no—
513#102—134no—
514#102—134no—
515#102—134no—
516C22⋊C8C22×D1314yes—
517C22⋊C8C22×D1314yes—
518#97C22×D1314yes—
519C4×C8C22×D1314yes—
520C2×C13—42no—
521C2×C13#324414yescomplemented
522C2×C13C2×#53611yescharacteristic
523C2×C13C2×#57711yescharacteristic
524C2×C13C2×#57711yescharacteristic
525D13—82no—
526C24—261no—
527C24C2×D5211yescharacteristic
528C2×Q8—132no—
529C2×Q8—261no—
530C2×Q8—264no—
531C2×Q8—264no—
532C2×Q8—264no—
533C2×Q8—262no—
534C2×Q8—262no—
535C2×Q8—1042no—
536C2×Q8—1042no—
537C2×Q8—1042no—
538C2×D4—132no—
539C2×D4—264no—
540C2×D4—261no—
541C2×D4—262no—
542C2×D4—262no—
543C2×D4—1042no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—261no—
547C22×C4—261no—
548C22×C4—261no—
549C22×C4—261no—
550C22×C4—261no—
551C22×C4—261no—
552C22×C4—261no—
553C22×C4—264no—
554C22×C4—264no—
555C22×C4—1042no—
556C22×C4—1042no—
557C22×C4C2×D5212yes—
558C22×C4C2×D5211yescharacteristic
559C22×C4C2×D5211yescharacteristic
560C22×C4C2×D5211yescharacteristic
561C22×C4C2×D5211yescharacteristic
562C22×C4C2×D5211yescharacteristic
563C22×C4C23×D1312yes—
564C22×C4C23×D1311yescharacteristic
565C2×C8—22no—
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—22no—
569C2×C8C23×D1312yes—
570C2×C8C23×D1312yes—
571C2×C8C23×D1312yes—
572C2×C8C23×D1312yes—
573C4⋊C4—132no—
574C4⋊C4—132no—
575C4⋊C4—132no—
576C4⋊C4—132no—
577C4⋊C4—132no—
578C4⋊C4—132no—
579C4⋊C4—264no—
580C4⋊C4—261no—
581C4⋊C4—261no—
582C4⋊C4—261no—
583C4⋊C4—261no—
584C4⋊C4—261no—
585C4⋊C4—261no—
586C4⋊C4—264no—
587C4⋊C4—264no—
588C4⋊C4—264no—
589C4⋊C4—264no—
590C4⋊C4—264no—
591C4⋊C4—264no—
592C4⋊C4—264no—
593C4⋊C4—264no—
594C4⋊C4—264no—
595C4⋊C4C2×D5214yes—
596C4⋊C4C2×D5214yes—
597C22⋊C4—264no—
598C22⋊C4—264no—
599C22⋊C4—264no—
600C22⋊C4—264no—
601C22⋊C4—264no—
602C22⋊C4—264no—
603C22⋊C4C2×D5214yes—
604C22⋊C4C2×D5214yes—
605C42—264no—
606C42—264no—
607C42C2×D5212yes—
608C42C2×D5212yes—
609C42C23×D1312yes—
610C42C23×D1312yes—
611C13C2×#324411yescharacteristic, complemented, Sylow
612C23—22no—
613C23—22no—
614C23—22no—
615C23—262no—
616C23—522no—
617C23—522no—
618C23—522no—
619C23C22×D5212yes—
620C23C22×D5211yescharacteristic
621Q8—262no—
622Q8—262no—
623Q8—522no—
624Q8—1044no—
625Q8—1044no—
626Q8—1044no—
627D4—262no—
628D4—262no—
629D4—522no—
630D4—1044no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—24no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—262no—
640C2×C4—262no—
641C2×C4—262no—
642C2×C4—262no—
643C2×C4—262no—
644C2×C4—262no—
645C2×C4—262no—
646C2×C4—522no—
647C2×C4—522no—
648C2×C4—522no—
649C2×C4—522no—
650C2×C4—522no—
651C2×C4—522no—
652C2×C4—522no—
653C2×C4—1044no—
654C2×C4—1044no—
655C2×C4C22×D5212yes—
656C2×C4C22×D5212yes—
657C2×C4C22×D5212yes—
658C2×C4C22×D5212yes—
659C2×C4C22×D5212yes—
660C2×C4C22×D5211yescharacteristic
661C2×C4#8825712yes—
662C2×C4#8825712yes—
663C2×C4C24×D1311yescharacteristic
664C8—22no—
665C8—22no—
666C8—22no—
667C8—22no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—44no—
672C22—522no—
673C22—522no—
674C22—522no—
675C22—1044no—
676C22#1171923112yes—
677C22#1171945612yes—
678C22#1171945612yes—
679C22C23×D5211yescharacteristic
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—22no—
685C4—522no—
686C4—522no—
687C4—522no—
688C4—522no—
689C4—522no—
690C4—522no—
691C4—522no—
692C4#1171923112yes—
693C4C2×#8825711yescharacteristic
694C4C2×#8825711yescharacteristic
695C2—42no—
696C2—1042no—
697C2#1312613614yesdirect product factor
698C2C2×#1171923111yescharacteristic
699C2C2×#1171945611yescharacteristic
700C2C2×#1171945611yescharacteristic
subgroupG/H
centerC23C22×D52
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#433C2
socleC23×C13C22×D4
prime radicalC2×#88184C22
hypercenterC2×#433D13
hypocenterC13C2×#3244
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
1. C2×#11719224C2semidirect
3. #13126136C2direct (N × H)
4. C2×#11718363C2semidirect
5. C2×#11718341C2semidirect
6. C2×#11718375C2semidirect
7. C2×#11718358C2semidirect
9. C2×#11718384C2semidirect
11. C2×#11718382C2semidirect
12. C2×#11718490C2semidirect
13. C2×#11718512C2semidirect
14. C2×#11718508C2semidirect
15. C2×#11718503C2semidirect
16. C2×C13×#433C2semidirect
25. #11719224C22semidirect
42. C13×#433C22semidirect
65. #11718512C22semidirect
66. #11718508C22semidirect
67. #11718503C22semidirect
68. #11718490C22semidirect
71. #11718384C22semidirect
72. #11718382C22semidirect
73. #11718375C22semidirect
74. #11718363C22semidirect
75. #11718358C22semidirect
76. #11718341C22semidirect
277. C2×#433D13semidirect
371. #433C2×D13semidirect
521. C2×C13#3244semidirect
611. C13C2×#3244semidirect
697. C2#13126136direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117192242
C2×#117192392
#131261362
C2×#117183632
C2×#117183412
C2×#117183752
C2×#117183582
C2×#117183962
C2×#117183842
C2×#117183982
C2×#117183822
C2×#117184902
C2×#117185122
C2×#117185082
C2×#117185032
C2×C13×#4332
C2×#324413