Finite Group Databasebeta

← C2×#13127665 #16742686

Subgroups — C2×#13127665 #16742686

Order 3328.

1886 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719289C211yesmaximal, characteristic, complemented
2C2×#11719284C211yesmaximal, characteristic, complemented
3#13127665C2116yesmaximal, direct product factor
4C2×#11718364C211yesmaximal, characteristic, complemented
5C2×#11718375C211yesmaximal, characteristic, complemented
6C2×#11718358C211yesmaximal, characteristic, complemented
7C2×#11718490C211yesmaximal, characteristic, complemented
8C2×#11718512C211yesmaximal, characteristic, complemented
9C2×#11718508C211yesmaximal, characteristic, complemented
10C2×#11718505C211yesmaximal, characteristic
11C2×#11718505C211yesmaximal, characteristic
12C2×#11718502C211yesmaximal, characteristic, complemented
13C2×#11718372C211yesmaximal, characteristic
14C2×#11718371C211yesmaximal, characteristic, complemented
15C2×C4×#6095C211yesmaximal, characteristic, complemented
16C2×C13×#446C211yesmaximal, characteristic, complemented
17C2×C4×Q8×C13C2211yescharacteristic
18C2×#88200—21no—
19C2×#88200—21no—
20C22×D104C2211yescharacteristic
21C22×#6095C2211yescharacteristic
22C22×#6095C2211yescharacteristic
23#11719289—24no—
24#11719289C2218yescomplemented
25#11719284—24no—
26#11719284C2218yescomplemented
27C2×#88152—21no—
28C2×#88152—21no—
29C2×#88150—21no—
30C2×#88150—21no—
31C2×#88146—21no—
32C2×C4⋊C4×D13—21no—
33C2×#88129C2211yescharacteristic
34C2×#88129C2211yescharacteristic
35C2×C4×D52C2211yescharacteristic
36C2×C4×D52C2211yescharacteristic
37C2×C4×D52C2211yescharacteristic
38C2×C4×D52C2211yescharacteristic
39C2×#88124C2211yescharacteristic
40C2×#88124C2211yescharacteristic
41C2×#88123C2211yescharacteristic
42C2×#88123C2211yescharacteristic
43C2×C4×Dic26C2211yescharacteristic
44C2×C4×Dic26C2211yescharacteristic
45C13×#446C2218yescomplemented
46C2×C13×C4⋊C8C2211yescharacteristic
47C2×C13×C4⋊C8C2211yescharacteristic
48C2×C13×C4⋊C8C2211yescharacteristic
49C2×C13×#97C2211yescharacteristic
50C2×C13×#97C2211yescharacteristic
51C2×C4×C8×C13C2211yescharacteristic
52C2×#88061C2211yescharacteristic
53C2×#88061C2211yescharacteristic
54C2×#88061C2211yescharacteristic
55C2×#88061C2211yescharacteristic
56C2×#88058C2211yescharacteristic
57C2×#88057C2211yescharacteristic
58C2×#88057C2211yescharacteristic
59C2×#88056C2211yescharacteristic
60C2×#88056C2211yescharacteristic
61C2×#88056C2211yescharacteristic
62C2×#88056C2211yescharacteristic
63C2×#88056C2211yescharacteristic
64C2×#88056C2211yescharacteristic
65#11718512C2218yescomplemented
66#11718508C2218yescomplemented
67#11718505C2218yes—
68#11718505C2218yes—
69#11718502C2218yescomplemented
70#11718490C2218yescomplemented
71#11718375C2218yescomplemented
72#11718372C2218yes—
73#11718371C2218yescomplemented
74#11718364C2218yescomplemented
75#11718358C2218yescomplemented
76C4×#6095C2218yescomplemented
77C22×Q8×C13D411yescharacteristic
78C22×D52C2311yescharacteristic
79C22×D52C2311yescharacteristic
80C22×C4×D13—21no—
81C22×C4×D13—21no—
82C22×C4×D13—21no—
83C22×C4×D13—21no—
84C22×Dic26—21no—
85C22×Dic26C2311yescharacteristic
86C22×Dic26C2311yescharacteristic
87C22×C8×C13C2311yescharacteristic
88C22×C8×C13C2311yescharacteristic
89C22×C8×C13C2311yescharacteristic
90C22×C8×C13C2311yescharacteristic
91C4×Q8×C13D414yes—
92C4×Q8×C13C2314yes—
93C2×C13×C4⋊C4D411yescharacteristic
94C2×C13×C4⋊C4D411yescharacteristic
95C2×C13×C4⋊C4D411yescharacteristic
96C2×C42×C13C2311yescharacteristic
97C2×C42×C13C2311yescharacteristic
98C2×C42×C13C2311yescharacteristic
99#88200—28no—
100#88200—28no—
101C2×#6103—21no—
102C2×#6103—21no—
103C2×#6103—21no—
104C2×#6103—21no—
105C2×#6103—21no—
106C2×#6103—21no—
107C2×#6103—21no—
108C2×#6103—21no—
109C2×C4⋊Dic13—21no—
110C2×C4⋊Dic13—21no—
111C2×C4⋊Dic13—21no—
112C2×C4⋊Dic13C2311yescharacteristic
113C2×C4⋊Dic13C2311yescharacteristic
114C2×C4⋊Dic13C2311yescharacteristic
115C2×C4⋊Dic13C2311yescharacteristic
116C2×#6101—21no—
117C2×#6101—21no—
118C2×#6101—21no—
119C2×#6101—21no—
120C2×#6101—21no—
121C2×#6101—21no—
122C2×C4×Dic13—21no—
123C2×C4×Dic13—21no—
124C2×D104—24no—
125C2×D104C2314yes—
126C2×#6095—24no—
127C2×#6095—24no—
128C2×#6095C2314yes—
129C2×#6095C2314yes—
130#88152—28no—
131#88152—28no—
132#88150—28no—
133#88150—28no—
134#88146—28no—
135C4⋊C4×D13—28no—
136#88129—22no—
137#88129—22no—
138#88129C2314yes—
139#88129C2314yes—
140C4×D52—22no—
141C4×D52—22no—
142C4×D52—22no—
143C4×D52—22no—
144C4×D52C2314yes—
145C4×D52C2314yes—
146C4×D52C2314yes—
147C4×D52C2314yes—
148#88124—22no—
149#88124—22no—
150#88124C2314yes—
151#88124C2314yes—
152#88123—22no—
153#88123—22no—
154#88123C2314yes—
155#88123C2314yes—
156C4×Dic26—22no—
157C4×Dic26—22no—
158C4×Dic26C2314yes—
159C4×Dic26C2314yes—
160C13×C4⋊C8C2314yes—
161C13×C4⋊C8C2314yes—
162C13×C4⋊C8C2314yes—
163C13×#97C2314yes—
164C13×#97C2314yes—
165C4×C8×C13C2314yes—
166#88061C2314yes—
167#88061C2314yes—
168#88061C2314yes—
169#88061C2314yes—
170#88058C2314yes—
171#88057C2314yes—
172#88057C2314yes—
173#88056C2314yes—
174#88056C2314yes—
175#88056C2314yes—
176#88056C2314yes—
177#88056C2314yes—
178#88056C2314yes—
179C2×#3376—131nomaximal, Sylow
180C23×D13—21no—
181C23×D13—21no—
182C2×Q8×C13—42no—
183C2×Q8×C13C2×D414yes—
184C22×C4×C13C2×D411yescharacteristic
185C22×C4×C13C2×D411yescharacteristic
186C22×C4×C13C2×D411yescharacteristic
187C22×C4×C13C2×D411yescharacteristic
188C22×C4×C13C2×D411yescharacteristic
189C22×C4×C13C2×D411yescharacteristic
190C22×C4×C13C2411yescharacteristic
191C22×Dic13—21no—
192C22×Dic13—21no—
193C22×Dic13—21no—
194C22×Dic13—21no—
195C22×Dic13—21no—
196C22×Dic13—21no—
197C2×D52—21no—
198C2×D52—22no—
199C2×D52—22no—
200C2×D52—22no—
201C2×D52—21no—
202C2×D52#4114yes—
203C2×D52C2412yes—
204C2×D52C2412yes—
205C2×C4×D13—24no—
206C2×C4×D13—24no—
207C2×C4×D13—24no—
208C2×C4×D13—24no—
209C2×C4×D13—44no—
210C2×C4×D13—44no—
211C2×C4×D13—82no—
212C2×C4×D13—82no—
213C2×Dic26—22no—
214C2×Dic26—22no—
215C2×Dic26—22no—
216C2×Dic26—22no—
217C2×Dic26—21no—
218C2×Dic26—21no—
219C2×Dic26—24no—
220C2×Dic26—82no—
221C2×Dic26C2412yes—
222C2×Dic26C2412yes—
223C2×C8×C13—22no—
224C2×C8×C13—22no—
225C2×C8×C13—22no—
226C2×C8×C13—22no—
227C2×C8×C13C2412yes—
228C2×C8×C13C2412yes—
229C2×C8×C13C2412yes—
230C2×C8×C13C2412yes—
231C13×C4⋊C4C2×D414yes—
232C13×C4⋊C4C2×D414yes—
233C13×C4⋊C4C2×D414yes—
234C42×C13C2×D412yes—
235C42×C13C2×D412yes—
236C42×C13C2×D412yes—
237C42×C13C2412yes—
238C42×C13C2412yes—
239C42×C13C2412yes—
240#6103—24no—
241#6103—24no—
242#6103—24no—
243#6103—24no—
244#6103—24no—
245#6103—24no—
246#6103—24no—
247#6103—24no—
248C4⋊Dic13—21no—
249C4⋊Dic13—21no—
250C4⋊Dic13—21no—
251C4⋊Dic13—24no—
252C4⋊Dic13—24no—
253C4⋊Dic13—24no—
254C4⋊Dic13—21no—
255C4⋊Dic13C2412yes—
256C4⋊Dic13C2412yes—
257C4⋊Dic13C2412yes—
258C4⋊Dic13C2412yes—
259#6101—24no—
260#6101—24no—
261#6101—24no—
262#6101—24no—
263#6101—24no—
264#6101—24no—
265C4×Dic13—24no—
266C4×Dic13—24no—
267D104—28no—
268#6095—28no—
269#6095—28no—
270C2×#556—131no—
271C2×#554—131no—
272#3376—1316no—
273C2×#491—131no—
274C2×#489—131no—
275C2×#488—131no—
276C2×#479—131no—
277C2×#475—131no—
278C2×#478—131no—
279C2×#463—131no—
280C2×#463—131no—
281C2×#461—131no—
282C2×#446D1311yescharacteristic, complemented
283C2×#442—131no—
284C2×#440—131no—
285C2×C4×SD16—131no—
286C23×C13C22×D411yescharacteristic
287C22×D13—24no—
288C22×D13—22no—
289C22×D13—22no—
290C22×D13—42no—
291C22×D13—42no—
292C22×D13—42no—
293C22×D13—42no—
294C22×D13—42no—
295Q8×C13—44no—
296C2×C4×C13—22no—
297C2×C4×C13—22no—
298C2×C4×C13—22no—
299C2×C4×C13—22no—
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×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—42no—
322C2×Dic13—42no—
323C2×Dic13—42no—
324D52—24no—
325D52—22no—
326D52—22no—
327D52—22no—
328D52—42no—
329D52C2×#4114yes—
330C4×D13—48no—
331C4×D13—48no—
332C4×D13—84no—
333C4×D13—84no—
334Dic26—22no—
335Dic26—22no—
336Dic26—22no—
337Dic26—22no—
338Dic26—42no—
339Dic26—42no—
340Dic26—84no—
341C8×C13—22no—
342C8×C13—22no—
343C8×C13—22no—
344C8×C13—22no—
345C22×SD16—131no—
346C22×SD16—131no—
347C22×D8—131no—
348#556—138no—
349#556—264no—
350#554—138no—
351#554—264no—
352C2×C4⋊Q8—131no—
353C2×C4⋊Q8—131no—
354C2×#126—261no—
355C2×#126—261no—
356C2×#125—131no—
357C2×#125—131no—
358C2×#124—131no—
359C2×#124—131no—
360C2×C22⋊Q8—261no—
361C2×C22⋊Q8—261no—
362C2×C22⋊Q8—261no—
363C2×C22⋊Q8—261no—
364C2×C4×Q8—131no—
365C2×C4×Q8—131no—
366C2×C4×Q8C2×D1311yescharacteristic
367C2×C4×D4—131no—
368C2×C4×D4—131no—
369C2×C4×D4—131no—
370C2×C4×D4—131no—
371C2×#117—261no—
372C22×C4⋊C4—261no—
373#491—138no—
374#489—138no—
375#488—138no—
376#479—138no—
377#478—138no—
378#475—138no—
379#463—138no—
380#463—138no—
381#461—138no—
382#446C2×D1318yescomplemented
383#442—138no—
384#440—138no—
385C4×SD16—138no—
386C2×#107—131no—
387C2×#106—131no—
388C2×#106—131no—
389C2×C4⋊C8C2×D1311yescharacteristic
390C2×C4⋊C8C2×D1311yescharacteristic
391C2×C4⋊C8C2×D1311yescharacteristic
392C2×#103—131no—
393C2×#103—131no—
394C2×#103—131no—
395C2×#103—131no—
396C2×#103—131no—
397C2×#103—131no—
398C2×#102—131no—
399C2×#102—131no—
400C2×#102—131no—
401C2×#102—131no—
402C2×#97C2×D1311yescharacteristic
403C2×#97C2×D1311yescharacteristic
404C2×C4×C8C2×D1311yescharacteristic
405C22×C13#54812yes—
406C22×C13#57512yes—
407C22×C13#57712yes—
408C22×C13C23×D411yescharacteristic
409C2×D13—24no—
410C2×D13—48no—
411C2×D13—42no—
412C2×D13—42no—
413C2×D13—42no—
414C2×D13—42no—
415C2×D13—42no—
416C2×D13—84no—
417C4×C13—22no—
418C4×C13—22no—
419C4×C13—22no—
420C4×C13—22no—
421C4×C13—22no—
422C4×C13—22no—
423C4×C13#54812yes—
424C4×C13C22×#4111yescharacteristic
425C4×C13C2×2−1+411yescharacteristic
426Dic13—42no—
427Dic13—42no—
428Dic13—42no—
429Dic13—42no—
430Dic13—42no—
431Dic13—42no—
432C22×Q8—131no—
433C22×Q8—131no—
434C22×Q8—261no—
435C22×Q8D5211yescharacteristic
436C22×D4—131no—
437C22×D4—131no—
438C23×C4—261no—
439C23×C4—261no—
440C23×C4—261no—
441C23×C4—261no—
442C2×SD16—134no—
443C2×SD16—134no—
444C2×SD16—264no—
445C2×SD16—264no—
446C2×D8—134no—
447C2×D8—264no—
448C22×C8C22×D1311yescharacteristic
449C22×C8C22×D1311yescharacteristic
450C22×C8C22×D1311yescharacteristic
451C22×C8C22×D1311yescharacteristic
452C4⋊Q8—134no—
453C4⋊Q8—134no—
454C4⋊Q8—262no—
455C4⋊Q8—262no—
456#126—268no—
457#126—268no—
458#125—134no—
459#125—134no—
460#125—262no—
461#125—262no—
462#124—134no—
463#124—134no—
464#124—262no—
465#124—262no—
466C22⋊Q8—268no—
467C22⋊Q8—268no—
468C22⋊Q8—268no—
469C22⋊Q8—268no—
470C4×Q8—134no—
471C4×Q8—134no—
472C4×Q8—262no—
473C4×Q8—262no—
474C4×Q8D5214yes—
475C4×Q8C22×D1314yes—
476C4×D4—134no—
477C4×D4—134no—
478C4×D4—134no—
479C4×D4—134no—
480C4×D4—262no—
481C4×D4—262no—
482C4×D4—262no—
483C4×D4—262no—
484#117—268no—
485C2×C4⋊C4—131no—
486C2×C4⋊C4—131no—
487C2×C4⋊C4—131no—
488C2×C4⋊C4—131no—
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⋊C4—261no—
498C2×C4⋊C4—268no—
499C2×C4⋊C4D5211yescharacteristic
500C2×C4⋊C4D5211yescharacteristic
501C2×C4⋊C4D5211yescharacteristic
502C2×C22⋊C4—261no—
503C2×C22⋊C4—261no—
504C2×C22⋊C4—261no—
505C2×C22⋊C4—261no—
506C2×C22⋊C4—261no—
507C2×C22⋊C4—261no—
508C2×C22⋊C4—261no—
509C2×C22⋊C4—261no—
510C2×C42—261no—
511C2×C42—261no—
512C2×C42C22×D1311yescharacteristic
513C2×C42C22×D1311yescharacteristic
514C2×C42C22×D1311yescharacteristic
515#107—134no—
516#106—134no—
517#106—134no—
518C4⋊C8C22×D1314yes—
519C4⋊C8C22×D1314yes—
520C4⋊C8C22×D1314yes—
521#103—134no—
522#103—134no—
523#103—134no—
524#103—134no—
525#103—134no—
526#103—134no—
527#102—134no—
528#102—134no—
529#102—134no—
530#102—134no—
531#97C22×D1314yes—
532#97C22×D1314yes—
533C4×C8C22×D1314yes—
534C2×C13#337614yescomplemented
535C2×C13C2×#54811yescharacteristic
536C2×C13C2×#57511yescharacteristic
537C2×C13C2×#57711yescharacteristic
538D13—44no—
539D13—82no—
540C24—261no—
541C24—261no—
542C2×Q8—42no—
543C2×Q8—132no—
544C2×Q8—132no—
545C2×Q8—261no—
546C2×Q8—261no—
547C2×Q8—264no—
548C2×Q8—262no—
549C2×Q8—262no—
550C2×Q8—262no—
551C2×Q8—262no—
552C2×Q8—1042no—
553C2×Q8C2×D5214yes—
554C2×D4—134no—
555C2×D4—132no—
556C2×D4—132no—
557C2×D4—261no—
558C2×D4—261no—
559C2×D4—262no—
560C2×D4—262no—
561C2×D4—262no—
562C22×C4—261no—
563C22×C4—261no—
564C22×C4—261no—
565C22×C4—261no—
566C22×C4—261no—
567C22×C4—261no—
568C22×C4—264no—
569C22×C4—264no—
570C22×C4—264no—
571C22×C4—264no—
572C22×C4—524no—
573C22×C4—524no—
574C22×C4—1042no—
575C22×C4—1042no—
576C22×C4C2×D5211yescharacteristic
577C22×C4C2×D5211yescharacteristic
578C22×C4C2×D5211yescharacteristic
579C22×C4C2×D5211yescharacteristic
580C22×C4C2×D5211yescharacteristic
581C22×C4C2×D5211yescharacteristic
582C22×C4C23×D1311yescharacteristic
583SD16—268no—
584SD16—268no—
585D8—268no—
586C2×C8—22no—
587C2×C8—22no—
588C2×C8—22no—
589C2×C8—22no—
590C2×C8C23×D1312yes—
591C2×C8C23×D1312yes—
592C2×C8C23×D1312yes—
593C2×C8C23×D1312yes—
594C4⋊C4—132no—
595C4⋊C4—132no—
596C4⋊C4—132no—
597C4⋊C4—132no—
598C4⋊C4—261no—
599C4⋊C4—261no—
600C4⋊C4—261no—
601C4⋊C4—261no—
602C4⋊C4—264no—
603C4⋊C4—264no—
604C4⋊C4—264no—
605C4⋊C4—264no—
606C4⋊C4—264no—
607C4⋊C4—264no—
608C4⋊C4—264no—
609C4⋊C4—264no—
610C4⋊C4—264no—
611C4⋊C4C2×D5214yes—
612C4⋊C4C2×D5214yes—
613C4⋊C4C2×D5214yes—
614C22⋊C4—264no—
615C22⋊C4—264no—
616C22⋊C4—264no—
617C22⋊C4—264no—
618C22⋊C4—264no—
619C22⋊C4—264no—
620C22⋊C4—264no—
621C22⋊C4—264no—
622C42—264no—
623C42—264no—
624C42C2×D5212yes—
625C42C2×D5212yes—
626C42C2×D5212yes—
627C42C23×D1312yes—
628C42C23×D1312yes—
629C42C23×D1312yes—
630C13C2×#337611yescharacteristic, complemented, Sylow
631C23—264no—
632C23—262no—
633C23—262no—
634C23—522no—
635C23—522no—
636C23—522no—
637C23—522no—
638C23—522no—
639C23C22×D5211yescharacteristic
640Q8—44no—
641Q8—262no—
642Q8—262no—
643Q8—262no—
644Q8—262no—
645Q8—522no—
646Q8—522no—
647Q8—1044no—
648D4—134no—
649D4—264no—
650D4—262no—
651D4—262no—
652D4—262no—
653D4—522no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
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—528no—
667C2×C4—528no—
668C2×C4—522no—
669C2×C4—522no—
670C2×C4—522no—
671C2×C4—522no—
672C2×C4—522no—
673C2×C4—522no—
674C2×C4—1044no—
675C2×C4—1044no—
676C2×C4C22×D5212yes—
677C2×C4C22×D5212yes—
678C2×C4C22×D5212yes—
679C2×C4C22×D5212yes—
680C2×C4C22×D5212yes—
681C2×C4C22×D5212yes—
682C2×C4C22×D5211yescharacteristic
683C2×C4#8825412yes—
684C2×C4#41×D1312yes—
685C2×C4C24×D1311yescharacteristic
686C8—22no—
687C8—22no—
688C8—22no—
689C8—22no—
690C22—264no—
691C22—522no—
692C22—522no—
693C22—528no—
694C22—522no—
695C22—522no—
696C22—522no—
697C22—1044no—
698C22#1171928112yes—
699C22#1171945312yes—
700C22#1171945612yes—
701C22C23×D5211yescharacteristic
702C4—22no—
703C4—22no—
704C4—22no—
705C4—22no—
706C4—22no—
707C4—22no—
708C4—522no—
709C4—522no—
710C4—522no—
711C4—522no—
712C4—522no—
713C4—522no—
714C4#1171928112yes—
715C4C2×#8825411yescharacteristic
716C4C2×#41×D1311yescharacteristic
717C2—524no—
718C2—1042no—
719C2#1312766514yesdirect product factor
720C2C2×#1171928111yescharacteristic
721C2C2×#1171945311yescharacteristic
722C2C2×#1171945611yescharacteristic
subgroupG/H
centerC23C22×D52
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#446C2
socleC23×C13C22×D4
prime radicalC22×D104C22
hypercenterC2×#446D13
hypocenterC13C2×#3376
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#446

Complements

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

NH ≅ G/Ntype
1. C2×#11719289C2semidirect
2. C2×#11719284C2semidirect
3. #13127665C2direct (N × H)
4. C2×#11718364C2semidirect
5. C2×#11718375C2semidirect
6. C2×#11718358C2semidirect
7. C2×#11718490C2semidirect
8. C2×#11718512C2semidirect
9. C2×#11718508C2semidirect
12. C2×#11718502C2semidirect
14. C2×#11718371C2semidirect
15. C2×C4×#6095C2semidirect
16. C2×C13×#446C2semidirect
24. #11719289C22semidirect
26. #11719284C22semidirect
45. C13×#446C22semidirect
65. #11718512C22semidirect
66. #11718508C22semidirect
69. #11718502C22semidirect
70. #11718490C22semidirect
71. #11718375C22semidirect
73. #11718371C22semidirect
74. #11718364C22semidirect
75. #11718358C22semidirect
76. C4×#6095C22semidirect
282. C2×#446D13semidirect
382. #446C2×D13semidirect
534. C2×C13#3376semidirect
630. C13C2×#3376semidirect
719. C2#13127665direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117192892
C2×#117192842
#131276652
C2×#117183642
C2×#117183752
C2×#117183582
C2×#117184902
C2×#117185122
C2×#117185082
C2×#117185052
C2×#117185022
C2×#117183722
C2×#117183712
C2×C4×#60952
C2×C13×#4462
C2×#337613