Finite Group Databasebeta

← C2×#13127791 #16743457

Subgroups — C2×#13127791 #16743457

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×#11719435C211yesmaximal, characteristic, complemented
2C2×#11719395C211yesmaximal, characteristic, complemented
3#13127791C2116yesmaximal, direct product factor
4C2×#11718537C211yesmaximal, characteristic, complemented
5C2×#11718519C211yesmaximal, characteristic, complemented
6C2×#11718552C211yesmaximal, characteristic, complemented
7C2×#11718532C211yesmaximal, characteristic, complemented
8C2×#11718532C211yesmaximal, characteristic, complemented
9C2×#11718727C211yesmaximal, characteristic, complemented
10C2×#11718551C211yesmaximal, characteristic, complemented
11C2×#11718748C211yesmaximal, characteristic, complemented
12C2×#11718362C211yesmaximal, characteristic, complemented
13C2×#11718372C211yesmaximal, characteristic
14C2×#11718530C211yesmaximal, characteristic
15C2×#11718533C211yesmaximal, characteristic
16C2×C13×#501C211yesmaximal, characteristic, complemented
17C2×C13×C4⋊Q8C2211yescharacteristic
18C2×C13×#125C2211yescharacteristic
19C2×#88200—21no—
20C2×#88200—21no—
21C22×D104C2211yescharacteristic
22#11719435—24no—
23#11719435C2218yescomplemented
24#11719395—24no—
25#11719395C2218yescomplemented
26C2×#88151—21no—
27C2×#88151—21no—
28C2×#88150—21no—
29C2×#88150—21no—
30C2×#88147C2211yescharacteristic
31C2×#88147C2211yescharacteristic
32C2×#88147C2211yescharacteristic
33C2×#88147C2211yescharacteristic
34C2×C4⋊C4×D13—21no—
35C2×C4⋊C4×D13—21no—
36C2×#88144C2211yescharacteristic
37C2×#88144C2211yescharacteristic
38C2×#88144C2211yescharacteristic
39C2×#88142C2211yescharacteristic
40C2×C4×D52C2211yescharacteristic
41C2×C4×D52C2211yescharacteristic
42C2×C4×Dic26C2211yescharacteristic
43C13×#501C2218yescomplemented
44C2×C13×#107C2211yescharacteristic
45C2×C13×#107C2211yescharacteristic
46C2×C13×#106C2211yescharacteristic
47C2×C13×#106C2211yescharacteristic
48C2×C13×#97C2211yescharacteristic
49C2×#88061C2211yescharacteristic
50C2×#88061C2211yescharacteristic
51C2×#88057C2211yescharacteristic
52C2×#88055C2211yescharacteristic
53C2×#88054C2211yescharacteristic
54C2×#88054C2211yescharacteristic
55C2×C8×Dic13C2211yescharacteristic
56#11718748C2218yescomplemented
57#11718727C2218yescomplemented
58C2×#88049C2211yescharacteristic
59C2×#88049C2211yescharacteristic
60C2×#88049C2211yescharacteristic
61C2×#88049C2211yescharacteristic
62C2×#88048C2211yescharacteristic
63C2×#88047C2211yescharacteristic
64C2×#88047C2211yescharacteristic
65C2×#88047C2211yescharacteristic
66C2×C4⋊#1055C2211yescharacteristic
67#11718552C2218yescomplemented
68#11718551C2218yescomplemented
69#11718537C2218yescomplemented
70#11718533C2218yes—
71#11718532C2218yescomplemented
72#11718532C2218yescomplemented
73#11718530C2218yes—
74#11718519C2218yescomplemented
75#11718372C2218yes—
76#11718362C2218yescomplemented
77C22×Q8×C13—21no—
78C22×D52C2311yescharacteristic
79C22×D52C2311yescharacteristic
80C22×C4×D13—21no—
81C22×C4×D13—21no—
82C22×C4×D13—21no—
83C22×C4×D13—21no—
84C22×C4×D13—21no—
85C22×C4×D13—21no—
86C22×Dic26—21no—
87C22×Dic26D411yescharacteristic
88C22×C8×C13C2311yescharacteristic
89C22×C8×C13C2311yescharacteristic
90C13×C4⋊Q8—22no—
91C13×C4⋊Q8C2314yes—
92C13×#125—22no—
93C13×#125C2314yes—
94C2×C13×C4⋊C4—21no—
95C2×C13×C4⋊C4—21no—
96C2×C13×C4⋊C4—21no—
97C2×C13×C4⋊C4C2311yescharacteristic
98C2×C13×C4⋊C4C2311yescharacteristic
99C2×C13×C4⋊C4C2311yescharacteristic
100C2×C13×C4⋊C4C2311yescharacteristic
101C2×C42×C13C2311yescharacteristic
102#88200—28no—
103#88200—28no—
104C2×#6103—21no—
105C2×#6103—21no—
106C2×#6103—21no—
107C2×#6103—21no—
108C2×#6103—21no—
109C2×#6103—21no—
110C2×C4⋊Dic13—21no—
111C2×C4⋊Dic13—21no—
112C2×C4⋊Dic13—21no—
113C2×C4⋊Dic13D411yescharacteristic
114C2×C4⋊Dic13C2311yescharacteristic
115C2×C4⋊Dic13C2311yescharacteristic
116C2×#6101—21no—
117C2×#6101—21no—
118C2×#6101—21no—
119C2×#6101—21no—
120C2×#6101D411yescharacteristic
121C2×#6101D411yescharacteristic
122C2×C4×Dic13C2311yescharacteristic
123C2×C4×Dic13C2311yescharacteristic
124C22×#1055C2311yescharacteristic
125C22×#1055C2311yescharacteristic
126C2×D104Q818yescomplemented
127C2×D104C2314yes—
128#88151—28no—
129#88151—28no—
130#88150—28no—
131#88150—28no—
132#88147—22no—
133#88147—22no—
134#88147—22no—
135#88147—22no—
136#88147C2314yes—
137#88147C2314yes—
138#88147C2314yes—
139#88147C2314yes—
140C4⋊C4×D13—28no—
141C4⋊C4×D13—28no—
142#88144—22no—
143#88144—22no—
144#88144—22no—
145#88144C2314yes—
146#88144C2314yes—
147#88144C2314yes—
148#88142—22no—
149#88142C2314yes—
150C4×D52—22no—
151C4×D52—22no—
152C4×D52C2314yes—
153C4×D52C2314yes—
154C4×Dic26D414yes—
155C4×Dic26C2314yes—
156C13×#107C2314yes—
157C13×#107C2314yes—
158C13×#106C2314yes—
159C13×#106C2314yes—
160C13×#97C2314yes—
161#88061C2314yes—
162#88061C2314yes—
163#88057C2314yes—
164#88055C2314yes—
165#88054C2314yes—
166#88054C2314yes—
167C8×Dic13C2314yes—
168#88049C2314yes—
169#88049C2314yes—
170#88049C2314yes—
171#88049C2314yes—
172#88048C2314yes—
173#88047C2314yes—
174#88047C2314yes—
175#88047C2314yes—
176C4⋊#1055C2314yes—
177C2×#3389—131nomaximal, Sylow
178C23×D13—21no—
179C23×D13—21no—
180C2×Q8×C13—24no—
181C2×Q8×C13—82no—
182C22×C4×C13—21no—
183C22×C4×C13—21no—
184C22×C4×C13—21no—
185C22×C4×C13—21no—
186C22×C4×C13C2×D411yescharacteristic
187C22×C4×C13C2×D411yescharacteristic
188C22×C4×C13C2411yescharacteristic
189C22×Dic13—21no—
190C22×Dic13—21no—
191C22×Dic13C2×D411yescharacteristic
192C22×Dic13C2×D411yescharacteristic
193C22×Dic13C2×D411yescharacteristic
194C22×Dic13C2×D411yescharacteristic
195C2×D52—21no—
196C2×D52—21no—
197C2×D52—22no—
198C2×D52—22no—
199C2×D52C2×Q814yes—
200C2×D52C2×Q814yes—
201C2×D52C2412yes—
202C2×D52C2412yes—
203C2×C4×D13—24no—
204C2×C4×D13—24no—
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×C4×D13—82no—
214C2×C4×D13—82no—
215C2×Dic26—24no—
216C2×Dic26—42no—
217C2×Dic26—82no—
218C2×Dic26C2×D414yes—
219C2×C8×C13—22no—
220C2×C8×C13C2×Q814yes—
221C2×C8×C13C2412yes—
222C2×C8×C13C2412yes—
223C13×C4⋊C4—21no—
224C13×C4⋊C4—21no—
225C13×C4⋊C4—21no—
226C13×C4⋊C4—21no—
227C13×C4⋊C4—24no—
228C13×C4⋊C4—24no—
229C13×C4⋊C4—24no—
230C13×C4⋊C4C2412yes—
231C13×C4⋊C4C2412yes—
232C13×C4⋊C4C2412yes—
233C13×C4⋊C4C2412yes—
234C42×C13C2×D412yes—
235C42×C13C2412yes—
236#6103—24no—
237#6103—24no—
238#6103—24no—
239#6103—24no—
240#6103—24no—
241#6103—24no—
242C4⋊Dic13—21no—
243C4⋊Dic13—21no—
244C4⋊Dic13—24no—
245C4⋊Dic13—24no—
246C4⋊Dic13—24no—
247C4⋊Dic13C2×D414yes—
248C4⋊Dic13C2412yes—
249C4⋊Dic13C2412yes—
250#6101—24no—
251#6101—24no—
252#6101—24no—
253#6101—24no—
254#6101C2×D414yes—
255#6101C2×D414yes—
256C4×Dic13C2×D412yes—
257C4×Dic13C2×D412yes—
258C4×Dic13C2412yes—
259C4×Dic13C2412yes—
260C2×#1055—22no—
261C2×#1055—22no—
262C2×#1055C2412yes—
263C2×#1055C2412yes—
264D104C2×Q8116yescomplemented
265C2×#554—131no—
266C2×#554—131no—
267#3389—1316no—
268C2×#501—131no—
269C2×#501D1311yescharacteristic, complemented
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×#442—131no—
280C2×C4×D8—131no—
281C23×C13C22×D411yescharacteristic
282C22×D13—24no—
283C22×D13—24no—
284C22×D13—22no—
285C22×D13—22no—
286C22×D13—42no—
287C22×D13—42no—
288C22×D13—42no—
289C22×D13—42no—
290Q8×C13—84no—
291C2×C4×C13—22no—
292C2×C4×C13—22no—
293C2×C4×C13—22no—
294C2×C4×C13—22no—
295C2×C4×C13—22no—
296C2×C4×C13—22no—
297C2×C4×C13—42no—
298C2×C4×C13—42no—
299C2×C4×C13—42no—
300C2×C4×C13—42no—
301C2×C4×C13C22×D412yes—
302C2×C4×C13C22×D412yes—
303C2×C4×C13C22×D411yescharacteristic
304C2×C4×C13C22×Q812yes—
305C2×C4×C132−1+412yes—
306C2×C4×C13C2511yescharacteristic
307C2×Dic13—22no—
308C2×Dic13—22no—
309C2×Dic13—22no—
310C2×Dic13—22no—
311C2×Dic13—22no—
312C2×Dic13—22no—
313C2×Dic13—42no—
314C2×Dic13—42no—
315C2×Dic13C22×D412yes—
316C2×Dic13C22×D412yes—
317C2×Dic13C22×D412yes—
318C2×Dic13C22×D412yes—
319D52—24no—
320D52—24no—
321D52—22no—
322D52—22no—
323D52C22×Q814yes—
324D52C22×Q814yes—
325C4×D13—48no—
326C4×D13—48no—
327C4×D13—84no—
328C4×D13—84no—
329C4×D13—84no—
330C4×D13—84no—
331Dic26—44no—
332Dic26—84no—
333C8×C13—22no—
334C8×C13C22×Q814yes—
335#1055—22no—
336#1055—22no—
337C22×D8—131no—
338#554—138no—
339#554—138no—
340#554—264no—
341#554—264no—
342C2×C4⋊Q8—131no—
343C2×C4⋊Q8C2×D1311yescharacteristic
344C2×#125—131no—
345C2×#125—131no—
346C2×#125—131no—
347C2×#125C2×D1311yescharacteristic
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×D4—131no—
360C2×C4×D4—131no—
361C22×C4⋊C4—261no—
362C22×C4⋊C4—261no—
363#501—138no—
364#501C2×D1318yescomplemented
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#442—138no—
375C4×D8—138no—
376C2×#107—131no—
377C2×#107—131no—
378C2×#107—131no—
379C2×#107C2×D1311yescharacteristic
380C2×#107C2×D1311yescharacteristic
381C2×#106—131no—
382C2×#106—131no—
383C2×#106C2×D1311yescharacteristic
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×#102—131no—
393C2×#102—131no—
394C2×#97—131no—
395C2×#97C2×D1311yescharacteristic
396C2×C4×C8—131no—
397C22×C13D4×Q812yes—
398C22×C13#57512yes—
399C22×C13#57612yes—
400C22×C13C23×D411yescharacteristic
401C2×D13—24no—
402C2×D13—24no—
403C2×D13—48no—
404C2×D13—48no—
405C2×D13—42no—
406C2×D13—42no—
407C2×D13—42no—
408C2×D13—42no—
409C4×C13—22no—
410C4×C13—22no—
411C4×C13—42no—
412C4×C13—42no—
413C4×C13—42no—
414C4×C13—42no—
415C4×C13D4×Q812yes—
416C4×C13C23×Q811yescharacteristic
417C4×C13C2×2−1+411yescharacteristic
418Dic13—22no—
419Dic13—22no—
420Dic13—22no—
421Dic13—22no—
422Dic13—42no—
423Dic13—42no—
424C22×Q8—21no—
425C22×Q8—131no—
426C22×Q8—261no—
427C22×D4—131no—
428C22×D4—131no—
429C23×C4—261no—
430C23×C4—261no—
431C23×C4—261no—
432C23×C4—261no—
433C23×C4—261no—
434C23×C4—261no—
435C2×D8—138no—
436C2×D8—134no—
437C22×C8—131no—
438C22×C8—131no—
439C22×C8C22×D1311yescharacteristic
440C22×C8C22×D1311yescharacteristic
441C4⋊Q8—22no—
442C4⋊Q8—134no—
443C4⋊Q8—262no—
444C4⋊Q8C22×D1314yes—
445#125—22no—
446#125—134no—
447#125—134no—
448#125—134no—
449#125—262no—
450#125—262no—
451#125—262no—
452#125C22×D1314yes—
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—134no—
462C4×D4—134no—
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×D4—262no—
472C4×D4—262no—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—21no—
475C2×C4⋊C4—21no—
476C2×C4⋊C4—131no—
477C2×C4⋊C4—131no—
478C2×C4⋊C4—131no—
479C2×C4⋊C4—131no—
480C2×C4⋊C4—131no—
481C2×C4⋊C4—268no—
482C2×C4⋊C4—268no—
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⋊C4C22×D1311yescharacteristic
491C2×C4⋊C4C22×D1311yescharacteristic
492C2×C4⋊C4C22×D1311yescharacteristic
493C2×C4⋊C4C22×D1311yescharacteristic
494C2×C22⋊C4—261no—
495C2×C22⋊C4—261no—
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#107C22×D1314yes—
507#107C22×D1314yes—
508#106—134no—
509#106—134no—
510#106C22×D1314yes—
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#102—134no—
520#102—134no—
521#97—134no—
522#97C22×D1314yes—
523C4×C8—134no—
524C2×C13#338914yescomplemented
525C2×C13C2×D4×Q811yescharacteristic
526C2×C13C2×#57511yescharacteristic
527C2×C13C2×#57611yescharacteristic
528D13—44no—
529D13—44no—
530C24—261no—
531C24—261no—
532C2×Q8—24no—
533C2×Q8—82no—
534C2×Q8—134no—
535C2×Q8—264no—
536C2×Q8—522no—
537C2×Q8—1042no—
538C2×D4—134no—
539C2×D4—134no—
540C2×D4—132no—
541C2×D4—132no—
542C2×D4—261no—
543C2×D4—261no—
544C2×D4—262no—
545C2×D4—262no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—131no—
551C22×C4—131no—
552C22×C4—131no—
553C22×C4—131no—
554C22×C4—264no—
555C22×C4—264no—
556C22×C4—264no—
557C22×C4—264no—
558C22×C4—261no—
559C22×C4—261no—
560C22×C4—264no—
561C22×C4—264no—
562C22×C4—524no—
563C22×C4—524no—
564C22×C4—1042no—
565C22×C4—1042no—
566C22×C4—1042no—
567C22×C4—1042no—
568C22×C4D4×D1311yescharacteristic
569C22×C4D4×D1311yescharacteristic
570C22×C4C23×D1311yescharacteristic
571D8—1316no—
572C2×C8—22no—
573C2×C8—132no—
574C2×C8—132no—
575C2×C8—262no—
576C2×C8—262no—
577C2×C8Q8×D1314yes—
578C2×C8C23×D1312yes—
579C2×C8C23×D1312yes—
580C4⋊C4—24no—
581C4⋊C4—24no—
582C4⋊C4—24no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—134no—
588C4⋊C4—134no—
589C4⋊C4—134no—
590C4⋊C4—132no—
591C4⋊C4—132no—
592C4⋊C4—264no—
593C4⋊C4—264no—
594C4⋊C4—264no—
595C4⋊C4—264no—
596C4⋊C4—264no—
597C4⋊C4—264no—
598C4⋊C4—264no—
599C4⋊C4—261no—
600C4⋊C4—261no—
601C4⋊C4C23×D1312yes—
602C4⋊C4C23×D1312yes—
603C4⋊C4C23×D1312yes—
604C4⋊C4C23×D1312yes—
605C22⋊C4—264no—
606C22⋊C4—264no—
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—264no—
619C23—264no—
620C23—262no—
621C23—262no—
622C23—522no—
623C23—522no—
624C23—522no—
625C23—522no—
626C23C2×D4×D1311yescharacteristic
627Q8—84no—
628Q8—524no—
629Q8—1044no—
630D4—134no—
631D4—134no—
632D4—264no—
633D4—264no—
634D4—262no—
635D4—262no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—132no—
647C2×C4—132no—
648C2×C4—132no—
649C2×C4—132no—
650C2×C4—262no—
651C2×C4—262no—
652C2×C4—262no—
653C2×C4—262no—
654C2×C4—262no—
655C2×C4—262no—
656C2×C4—528no—
657C2×C4—528no—
658C2×C4—522no—
659C2×C4—522no—
660C2×C4—1044no—
661C2×C4—1044no—
662C2×C4—1044no—
663C2×C4—1044no—
664C2×C4C2×D4×D1312yes—
665C2×C4C2×D4×D1312yes—
666C2×C4C2×D4×D1311yescharacteristic
667C2×C4C2×Q8×D1312yes—
668C2×C4#8825412yes—
669C2×C4C24×D1311yescharacteristic
670C8—22no—
671C8—262no—
672C8—262no—
673C8C2×Q8×D1314yes—
674C22—264no—
675C22—264no—
676C22—522no—
677C22—522no—
678C22—528no—
679C22—528no—
680C22—522no—
681C22—522no—
682C22#1171943212yes—
683C22#1171947912yes—
684C22#1171948212yes—
685C22C22×D4×D1311yescharacteristic
686C4—22no—
687C4—22no—
688C4—42no—
689C4—42no—
690C4—42no—
691C4—42no—
692C4—262no—
693C4—262no—
694C4—262no—
695C4—262no—
696C4—522no—
697C4—522no—
698C4#1171943212yes—
699C4C22×Q8×D1311yescharacteristic
700C4C2×#8825411yescharacteristic
701C2—524no—
702C2—524no—
703C2#1312779114yesdirect product factor
704C2C2×#1171943211yescharacteristic
705C2C2×#1171948211yescharacteristic
706C2C2×#1171947911yescharacteristic
subgroupG/H
centerC23C2×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#501C2
socleC23×C13C22×D4
prime radicalC22×D104C22
hypercenterC2×#501D13
hypocenterC13C2×#3389
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#501

Complements

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

NH ≅ G/Ntype
1. C2×#11719435C2semidirect
2. C2×#11719395C2semidirect
3. #13127791C2direct (N × H)
4. C2×#11718537C2semidirect
5. C2×#11718519C2semidirect
6. C2×#11718552C2semidirect
7. C2×#11718532C2semidirect
8. C2×#11718532C2semidirect
9. C2×#11718727C2semidirect
10. C2×#11718551C2semidirect
11. C2×#11718748C2semidirect
12. C2×#11718362C2semidirect
16. C2×C13×#501C2semidirect
23. #11719435C22semidirect
25. #11719395C22semidirect
43. C13×#501C22semidirect
56. #11718748C22semidirect
57. #11718727C22semidirect
67. #11718552C22semidirect
68. #11718551C22semidirect
69. #11718537C22semidirect
71. #11718532C22semidirect
72. #11718532C22semidirect
74. #11718519C22semidirect
76. #11718362C22semidirect
126. C2×D104Q8semidirect
264. D104C2×Q8semidirect
269. C2×#501D13semidirect
364. #501C2×D13semidirect
524. C2×C13#3389semidirect
617. C13C2×#3389semidirect
703. C2#13127791direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117194352
C2×#117193952
#131277912
C2×#117185372
C2×#117185192
C2×#117185522
C2×#117185322
C2×#117187272
C2×#117185512
C2×#117187482
C2×#117183622
C2×#117183722
C2×#117185302
C2×#117185332
C2×C13×#5012
C2×#338913