Finite Group Databasebeta

← C2×#13126091 #16735110

Subgroups — C2×#13126091 #16735110

Order 3328.

1806 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719224C211yesmaximal, characteristic, complemented
2C2×#11719240C211yesmaximal, characteristic
3#13126091C2116yesmaximal, direct product factor
4C2×#11718363C211yesmaximal, characteristic, complemented
5C2×#11718344C211yesmaximal, characteristic, complemented
6C2×#11718374C211yesmaximal, characteristic, complemented
7C2×#11718355C211yesmaximal, characteristic, complemented
8C2×#11718396C211yesmaximal, characteristic, complemented
9C2×#11718398C211yesmaximal, characteristic, complemented
10C2×#11718398C211yesmaximal, characteristic, complemented
11C2×#11718397C211yesmaximal, characteristic, complemented
12C2×#11718508C211yesmaximal, characteristic, complemented
13C2×#11718508C211yesmaximal, characteristic, complemented
14C2×#11718503C211yesmaximal, characteristic, complemented
15C2×#11718507C211yesmaximal, characteristic, complemented
16C2×C13×#433C211yesmaximal, characteristic, complemented
17C2×C13×#117C2211yescharacteristic
18C2×#88184C2211yescharacteristic
19C2×#88184C2211yescharacteristic
20C2×#88180C2211yescharacteristic
21C22×C4⋊Dic13C2211yescharacteristic
22#11719240—24no—
23#11719240C2218yes—
24#11719224—24no—
25#11719224C2218yescomplemented
26C2×#88148—21no—
27C2×#88148—21no—
28C2×#88144—21no—
29C2×#88142—21no—
30C2×#88138—21no—
31C2×#88138—21no—
32C2×#88132—21no—
33C2×#88132—21no—
34C2×#88128C2211yescharacteristic
35C2×C4×D52C2211yescharacteristic
36C2×C4×D52C2211yescharacteristic
37C2×#88124C2211yescharacteristic
38C2×#88124C2211yescharacteristic
39C2×#88124C2211yescharacteristic
40C2×#88123C2211yescharacteristic
41C2×#88123C2211yescharacteristic
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×#88061C2211yescharacteristic
54C2×#88061C2211yescharacteristic
55C2×#88061C2211yescharacteristic
56C2×#88061C2211yescharacteristic
57C2×#88058C2211yescharacteristic
58C2×#88058C2211yescharacteristic
59C2×#88058C2211yescharacteristic
60C2×#88058C2211yescharacteristic
61C2×#88057C2211yescharacteristic
62C2×#88057C2211yescharacteristic
63C2×#88057C2211yescharacteristic
64C2×#88057C2211yescharacteristic
65#11718508C2218yescomplemented
66#11718508C2218yescomplemented
67#11718507C2218yescomplemented
68#11718503C2218yescomplemented
69#11718398C2218yescomplemented
70#11718398C2218yescomplemented
71#11718397C2218yescomplemented
72#11718396C2218yescomplemented
73#11718374C2218yescomplemented
74#11718363C2218yescomplemented
75#11718355C2218yescomplemented
76#11718344C2218yescomplemented
77C23×C4×C13C2311yescharacteristic
78C22×C22⋊D13—21no—
79C22×C22⋊D13—21no—
80C23×Dic13—21no—
81C22×D52—21no—
82C22×D52—21no—
83C22×D52C2311yescharacteristic
84C22×D52C2311yescharacteristic
85C22×C4×D13—21no—
86C22×C4×D13—21no—
87C22×Dic26—21no—
88C22×Dic26—21no—
89C22×C8×C13C2311yescharacteristic
90C22×C8×C13C2311yescharacteristic
91C22×C8×C13C2311yescharacteristic
92C22×C8×C13C2311yescharacteristic
93C13×#117D414yes—
94C13×#117C2314yes—
95C2×C13×C4⋊C4D411yescharacteristic
96C2×C13×C4⋊C4D411yescharacteristic
97C2×C13×C22⋊C4D411yescharacteristic
98C2×C13×C22⋊C4D411yescharacteristic
99C2×C42×C13C2311yescharacteristic
100C2×C42×C13C2311yescharacteristic
101C2×C22⋊Dic13—21no—
102#88184—22no—
103#88184—22no—
104#88184C2314yes—
105#88184C2314yes—
106C2×#6103—21no—
107C2×#6103—21no—
108C2×#6103—21no—
109C2×#6103—21no—
110#88180—22no—
111#88180C2314yes—
112C2×C4⋊Dic13—21no—
113C2×C4⋊Dic13—21no—
114C2×C4⋊Dic13—21no—
115C2×C4⋊Dic13—22no—
116C2×C4⋊Dic13C2311yescharacteristic
117C2×C4⋊Dic13C2311yescharacteristic
118C2×C4⋊Dic13C2311yescharacteristic
119C2×C4⋊Dic13C2311yescharacteristic
120C2×C4⋊Dic13C2311yescharacteristic
121C2×C4⋊Dic13C2311yescharacteristic
122C2×C4⋊Dic13C2314yes—
123C2×#6101—21no—
124C2×#6101—21no—
125C2×#6101—21no—
126C2×#6101—21no—
127C2×#6101—21no—
128C2×#6101—21no—
129C2×C4×Dic13—21no—
130#88148—28no—
131#88148—28no—
132#88144—28no—
133#88142—28no—
134#88138—28no—
135#88138—28no—
136#88132—28no—
137#88132—28no—
138#88128—22no—
139#88128C2314yes—
140C4×D52—22no—
141C4×D52—22no—
142C4×D52C2314yes—
143C4×D52C2314yes—
144#88124—22no—
145#88124—22no—
146#88124—22no—
147#88124C2314yes—
148#88124C2314yes—
149#88124C2314yes—
150#88123—22no—
151#88123—22no—
152#88123C2314yes—
153#88123C2314yes—
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#88061C2314yes—
165#88061C2314yes—
166#88061C2314yes—
167#88061C2314yes—
168#88058C2314yes—
169#88058C2314yes—
170#88058C2314yes—
171#88058C2314yes—
172#88057C2314yes—
173#88057C2314yes—
174#88057C2314yes—
175#88057C2314yes—
176C2×#3241—131nomaximal, Sylow
177C24×C13C2×D411yescharacteristic
178C23×D13—21no—
179C23×D13—21no—
180C22×C4×C13—22no—
181C22×C4×C13—22no—
182C22×C4×C13C2×D411yescharacteristic
183C22×C4×C13C2×D411yescharacteristic
184C22×C4×C13C2×D411yescharacteristic
185C22×C4×C13C2×D411yescharacteristic
186C22×C4×C13C2×D411yescharacteristic
187C22×C4×C13C2×D412yes—
188C22×C4×C13C2412yes—
189C22×C4×C13C2411yescharacteristic
190C2×C22⋊D13—24no—
191C2×C22⋊D13—24no—
192C2×C22⋊D13—82no—
193C2×C22⋊D13—82no—
194C22×Dic13—21no—
195C22×Dic13—21no—
196C22×Dic13—21no—
197C22×Dic13—21no—
198C22×Dic13—21no—
199C22×Dic13—21no—
200C22×Dic13—24no—
201C22×Dic13—82no—
202C2×D52—22no—
203C2×D52—22no—
204C2×D52—22no—
205C2×D52—22no—
206C2×D52—21no—
207C2×D52—21no—
208C2×D52—24no—
209C2×D52—24no—
210C2×D52—82no—
211C2×D52—82no—
212C2×D52C2412yes—
213C2×D52C2412yes—
214C2×C4×D13—24no—
215C2×C4×D13—24no—
216C2×C4×D13—82no—
217C2×C4×D13—82no—
218C2×Dic26—24no—
219C2×Dic26—24no—
220C2×Dic26—82no—
221C2×Dic26—82no—
222C2×C8×C13—22no—
223C2×C8×C13—22no—
224C2×C8×C13—22no—
225C2×C8×C13—22no—
226C2×C8×C13C2412yes—
227C2×C8×C13C2412yes—
228C2×C8×C13C2412yes—
229C2×C8×C13C2412yes—
230C13×C4⋊C4C2×D414yes—
231C13×C4⋊C4C2×D414yes—
232C13×C22⋊C4C2×D414yes—
233C13×C22⋊C4C2×D414yes—
234C42×C13C2×D412yes—
235C42×C13C2×D412yes—
236C42×C13C2412yes—
237C42×C13C2412yes—
238C22⋊Dic13—24no—
239#6103—24no—
240#6103—24no—
241#6103—24no—
242#6103—24no—
243C4⋊Dic13—21no—
244C4⋊Dic13—21no—
245C4⋊Dic13—21no—
246C4⋊Dic13—24no—
247C4⋊Dic13—24no—
248C4⋊Dic13—21no—
249C4⋊Dic13—21no—
250C4⋊Dic13—21no—
251C4⋊Dic13—24no—
252C4⋊Dic13C2412yes—
253C4⋊Dic13C2412yes—
254C4⋊Dic13C2412yes—
255C4⋊Dic13C2412yes—
256C4⋊Dic13C2412yes—
257C4⋊Dic13C2412yes—
258#6101—24no—
259#6101—24no—
260#6101—24no—
261#6101—24no—
262#6101—24no—
263#6101—24no—
264C4×Dic13—24no—
265C2×#544—131no—
266C2×#540—131no—
267#3241—1316no—
268C2×#501—131no—
269C2×#499—131no—
270C2×#490—131no—
271C2×#486—131no—
272C2×#481—131no—
273C2×#482—131no—
274C2×#482—131no—
275C2×#480—131no—
276C2×#478—131no—
277C2×#478—131no—
278C2×#476—131no—
279C2×#474—131no—
280C2×#433D1311yescharacteristic, complemented
281C23×C13—22no—
282C23×C13—22no—
283C23×C13—22no—
284C23×C13C22×D412yes—
285C23×C13C22×D411yescharacteristic
286C22×D13—22no—
287C22×D13—22no—
288C22×D13—42no—
289C22×D13—42no—
290C22×D13—42no—
291C22×D13—42no—
292C22×D13—42no—
293C22×D13—42no—
294C2×C4×C13—22no—
295C2×C4×C13—22no—
296C2×C4×C13—22no—
297C2×C4×C13—22no—
298C2×C4×C13—22no—
299C2×C4×C13—24no—
300C2×C4×C13—22no—
301C2×C4×C13—22no—
302C2×C4×C13C22×D412yes—
303C2×C4×C13C22×D412yes—
304C2×C4×C13C22×D412yes—
305C2×C4×C13C22×D412yes—
306C2×C4×C13C22×D412yes—
307C2×C4×C13C22×D411yescharacteristic
308C2×C4×C132−1+412yes—
309C2×C4×C132−1+412yes—
310C2×C4×C13C2511yescharacteristic
311C22⋊D13—84no—
312C22⋊D13—84no—
313C2×Dic13—22no—
314C2×Dic13—22no—
315C2×Dic13—22no—
316C2×Dic13—22no—
317C2×Dic13—22no—
318C2×Dic13—22no—
319C2×Dic13—42no—
320C2×Dic13—42no—
321C2×Dic13—42no—
322C2×Dic13—42no—
323C2×Dic13—42no—
324C2×Dic13—42no—
325C2×Dic13—84no—
326D52—22no—
327D52—22no—
328D52—22no—
329D52—22no—
330D52—42no—
331D52—42no—
332D52—84no—
333D52—84no—
334C4×D13—84no—
335C4×D13—84no—
336Dic26—84no—
337Dic26—84no—
338C8×C13—22no—
339C8×C13—22no—
340C8×C13—22no—
341C8×C13—22no—
342#544—138no—
343#544—264no—
344#540—138no—
345#540—264no—
346C2×C4⋊Q8—131no—
347C2×C4⋊Q8—131no—
348C2×C4⋊Q8—261no—
349C2×#127—131no—
350C2×#125—131no—
351C2×#125—131no—
352C2×#125—131no—
353C2×#125—261no—
354C2×#123—261no—
355C2×#123—261no—
356C2×C22⋊Q8—261no—
357C2×C22⋊Q8—261no—
358C2×#121—131no—
359C2×#121—131no—
360C2×#121—261no—
361C2×#121—261no—
362C2×C4×D4—131no—
363C2×C4×D4—131no—
364C2×#117—131no—
365C2×#117C2×D1311yescharacteristic
366C22×C4⋊C4—131no—
367#501—138no—
368#499—138no—
369#490—138no—
370#486—138no—
371#482—138no—
372#482—138no—
373#481—138no—
374#480—138no—
375#478—138no—
376#478—138no—
377#476—138no—
378#474—138no—
379#433C2×D1318yescomplemented
380C2×#107—131no—
381C2×#107—131no—
382C2×#107—131no—
383C2×#107—131no—
384C2×#106—131no—
385C2×#106—131no—
386C2×#106—131no—
387C2×#106—131no—
388C2×C4⋊C8C2×D1311yescharacteristic
389C2×C4⋊C8C2×D1311yescharacteristic
390C2×#102—131no—
391C2×#102—131no—
392C2×#102—131no—
393C2×#102—131no—
394C2×#102—131no—
395C2×#102—131no—
396C2×#102—131no—
397C2×#102—131no—
398C2×C22⋊C8C2×D1311yescharacteristic
399C2×C22⋊C8C2×D1311yescharacteristic
400C2×#97C2×D1311yescharacteristic
401C2×C4×C8C2×D1311yescharacteristic
402C22×C13—22no—
403C22×C13—22no—
404C22×C13—22no—
405C22×C13—44no—
406C22×C13#53612yes—
407C22×C13#57612yes—
408C22×C13#57712yes—
409C22×C13C23×D411yescharacteristic
410C2×D13—42no—
411C2×D13—42no—
412C2×D13—42no—
413C2×D13—42no—
414C2×D13—42no—
415C2×D13—42no—
416C2×D13—84no—
417C2×D13—84no—
418C4×C13—22no—
419C4×C13—22no—
420C4×C13—22no—
421C4×C13—22no—
422C4×C13—22no—
423C4×C13#53612yes—
424C4×C13C2×2−1+411yescharacteristic
425C4×C13C2×2−1+411yescharacteristic
426Dic13—42no—
427Dic13—42no—
428Dic13—42no—
429Dic13—42no—
430Dic13—42no—
431Dic13—42no—
432C22×Q8—261no—
433C22×Q8—261no—
434C22×D4—131no—
435C22×D4—131no—
436C22×D4—261no—
437C22×D4—261no—
438C22×D4—261no—
439C22×D4—261no—
440C23×C4—261no—
441C23×C4—261no—
442C23×C4—261no—
443C23×C4C22×D1311yescharacteristic
444C22×C8C22×D1311yescharacteristic
445C22×C8C22×D1311yescharacteristic
446C22×C8C22×D1311yescharacteristic
447C22×C8C22×D1311yescharacteristic
448C4⋊Q8—134no—
449C4⋊Q8—134no—
450C4⋊Q8—268no—
451C4⋊Q8—262no—
452C4⋊Q8—262no—
453#127—134no—
454#127—262no—
455#125—134no—
456#125—134no—
457#125—134no—
458#125—268no—
459#125—262no—
460#125—262no—
461#125—262no—
462#123—268no—
463#123—268no—
464C22⋊Q8—268no—
465C22⋊Q8—268no—
466#121—134no—
467#121—134no—
468#121—262no—
469#121—262no—
470#121—268no—
471#121—268no—
472C4×D4—134no—
473C4×D4—134no—
474C4×D4—262no—
475C4×D4—262no—
476#117—134no—
477#117—262no—
478#117D5214yes—
479#117C22×D1314yes—
480C2×C4⋊C4—131no—
481C2×C4⋊C4—131no—
482C2×C4⋊C4—134no—
483C2×C4⋊C4—131no—
484C2×C4⋊C4—131no—
485C2×C4⋊C4—131no—
486C2×C4⋊C4—131no—
487C2×C4⋊C4—261no—
488C2×C4⋊C4—262no—
489C2×C4⋊C4—261no—
490C2×C4⋊C4—261no—
491C2×C4⋊C4—261no—
492C2×C4⋊C4—261no—
493C2×C4⋊C4—261no—
494C2×C4⋊C4—261no—
495C2×C4⋊C4—261no—
496C2×C4⋊C4—261no—
497C2×C4⋊C4D5211yescharacteristic
498C2×C4⋊C4D5211yescharacteristic
499C2×C22⋊C4—261no—
500C2×C22⋊C4—261no—
501C2×C22⋊C4—261no—
502C2×C22⋊C4—261no—
503C2×C22⋊C4—261no—
504C2×C22⋊C4D5211yescharacteristic
505C2×C22⋊C4D5211yescharacteristic
506C2×C42—261no—
507C2×C42C22×D1311yescharacteristic
508C2×C42C22×D1311yescharacteristic
509#107—134no—
510#107—134no—
511#107—134no—
512#107—134no—
513#106—134no—
514#106—134no—
515#106—134no—
516#106—134no—
517C4⋊C8C22×D1314yes—
518C4⋊C8C22×D1314yes—
519#102—134no—
520#102—134no—
521#102—134no—
522#102—134no—
523#102—134no—
524#102—134no—
525#102—134no—
526#102—134no—
527C22⋊C8C22×D1314yes—
528C22⋊C8C22×D1314yes—
529#97C22×D1314yes—
530C4×C8C22×D1314yes—
531C2×C13—42no—
532C2×C13#324114yescomplemented
533C2×C13C2×#53611yescharacteristic
534C2×C13C2×#57611yescharacteristic
535C2×C13C2×#57711yescharacteristic
536D13—82no—
537D13—82no—
538C24—261no—
539C24—261no—
540C24C2×D5211yescharacteristic
541C2×Q8—264no—
542C2×Q8—264no—
543C2×Q8—1042no—
544C2×Q8—1042no—
545C2×D4—132no—
546C2×D4—132no—
547C2×D4—264no—
548C2×D4—264no—
549C2×D4—261no—
550C2×D4—261no—
551C2×D4—264no—
552C2×D4—264no—
553C2×D4—262no—
554C2×D4—262no—
555C2×D4—262no—
556C2×D4—262no—
557C2×D4—1042no—
558C2×D4—1042no—
559C2×D4—1042no—
560C2×D4—1042no—
561C22×C4—22no—
562C22×C4—22no—
563C22×C4—261no—
564C22×C4—261no—
565C22×C4—261no—
566C22×C4—261no—
567C22×C4—261no—
568C22×C4—261no—
569C22×C4—264no—
570C22×C4—264no—
571C22×C4—264no—
572C22×C4—1042no—
573C22×C4—1042no—
574C22×C4—1042no—
575C22×C4C2×D5212yes—
576C22×C4C2×D5211yescharacteristic
577C22×C4C2×D5211yescharacteristic
578C22×C4C2×D5211yescharacteristic
579C22×C4C2×D5211yescharacteristic
580C22×C4C2×D5211yescharacteristic
581C22×C4C23×D1312yes—
582C22×C4C23×D1311yescharacteristic
583C2×C8—22no—
584C2×C8—22no—
585C2×C8—22no—
586C2×C8—22no—
587C2×C8C23×D1312yes—
588C2×C8C23×D1312yes—
589C2×C8C23×D1312yes—
590C2×C8C23×D1312yes—
591C4⋊C4—132no—
592C4⋊C4—132no—
593C4⋊C4—132no—
594C4⋊C4—132no—
595C4⋊C4—132no—
596C4⋊C4—132no—
597C4⋊C4—264no—
598C4⋊C4—261no—
599C4⋊C4—261no—
600C4⋊C4—261no—
601C4⋊C4—261no—
602C4⋊C4—261no—
603C4⋊C4—261no—
604C4⋊C4—264no—
605C4⋊C4—264no—
606C4⋊C4—264no—
607C4⋊C4—264no—
608C4⋊C4—264no—
609C4⋊C4—264no—
610C4⋊C4—264no—
611C4⋊C4—264no—
612C4⋊C4C2×D5214yes—
613C4⋊C4C2×D5214yes—
614C22⋊C4—264no—
615C22⋊C4—264no—
616C22⋊C4—264no—
617C22⋊C4—264no—
618C22⋊C4—264no—
619C22⋊C4C2×D5214yes—
620C22⋊C4C2×D5214yes—
621C42—264no—
622C42C2×D5212yes—
623C42C2×D5212yes—
624C42C23×D1312yes—
625C42C23×D1312yes—
626C13C2×#324111yescharacteristic, complemented, Sylow
627C23—22no—
628C23—22no—
629C23—22no—
630C23—262no—
631C23—262no—
632C23—522no—
633C23—522no—
634C23—522no—
635C23—522no—
636C23—522no—
637C23—522no—
638C23C22×D5212yes—
639C23C22×D5211yescharacteristic
640Q8—1044no—
641Q8—1044no—
642D4—262no—
643D4—262no—
644D4—262no—
645D4—262no—
646D4—522no—
647D4—522no—
648D4—1044no—
649D4—1044no—
650D4—1044no—
651D4—1044no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—24no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—262no—
661C2×C4—262no—
662C2×C4—262no—
663C2×C4—262no—
664C2×C4—262no—
665C2×C4—262no—
666C2×C4—522no—
667C2×C4—522no—
668C2×C4—522no—
669C2×C4—522no—
670C2×C4—522no—
671C2×C4—522no—
672C2×C4—1044no—
673C2×C4—1044no—
674C2×C4—1044no—
675C2×C4C22×D5212yes—
676C2×C4C22×D5212yes—
677C2×C4C22×D5212yes—
678C2×C4C22×D5212yes—
679C2×C4C22×D5212yes—
680C2×C4C22×D5211yescharacteristic
681C2×C4#8825712yes—
682C2×C4#8825712yes—
683C2×C4C24×D1311yescharacteristic
684C8—22no—
685C8—22no—
686C8—22no—
687C8—22no—
688C22—22no—
689C22—22no—
690C22—22no—
691C22—44no—
692C22—522no—
693C22—522no—
694C22—522no—
695C22—522no—
696C22—522no—
697C22—522no—
698C22—1044no—
699C22—1044no—
700C22#1171923112yes—
701C22#1171945612yes—
702C22#1171945712yes—
703C22C23×D5211yescharacteristic
704C4—22no—
705C4—22no—
706C4—22no—
707C4—22no—
708C4—22no—
709C4—522no—
710C4—522no—
711C4—522no—
712C4—522no—
713C4—522no—
714C4—522no—
715C4#1171923112yes—
716C4C2×#8825711yescharacteristic
717C4C2×#8825711yescharacteristic
718C2—42no—
719C2—1042no—
720C2—1042no—
721C2#1312609114yesdirect product factor
722C2C2×#1171923111yescharacteristic
723C2C2×#1171945711yescharacteristic
724C2C2×#1171945611yescharacteristic
subgroupG/H
centerC23C22×D52
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#433C2
socleC23×C13C22×D4
prime radicalC2×#11719240C2
hypercenterC2×#433D13
hypocenterC13C2×#3241
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. #13126091C2direct (N × H)
4. C2×#11718363C2semidirect
5. C2×#11718344C2semidirect
6. C2×#11718374C2semidirect
7. C2×#11718355C2semidirect
8. C2×#11718396C2semidirect
9. C2×#11718398C2semidirect
10. C2×#11718398C2semidirect
11. C2×#11718397C2semidirect
12. C2×#11718508C2semidirect
13. C2×#11718508C2semidirect
14. C2×#11718503C2semidirect
15. C2×#11718507C2semidirect
16. C2×C13×#433C2semidirect
25. #11719224C22semidirect
42. C13×#433C22semidirect
65. #11718508C22semidirect
66. #11718508C22semidirect
67. #11718507C22semidirect
68. #11718503C22semidirect
69. #11718398C22semidirect
70. #11718398C22semidirect
71. #11718397C22semidirect
72. #11718396C22semidirect
73. #11718374C22semidirect
74. #11718363C22semidirect
75. #11718355C22semidirect
76. #11718344C22semidirect
280. C2×#433D13semidirect
379. #433C2×D13semidirect
532. C2×C13#3241semidirect
626. C13C2×#3241semidirect
721. C2#13126091direct (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×#117192402
#131260912
C2×#117183632
C2×#117183442
C2×#117183742
C2×#117183552
C2×#117183962
C2×#117183982
C2×#117183972
C2×#117185082
C2×#117185032
C2×#117185072
C2×C13×#4332
C2×#324113