Finite Group Databasebeta

← C2×#13126085 #16735104

Subgroups — C2×#13126085 #16735104

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×#11719205C211yesmaximal, characteristic, complemented
2C2×#11719324C211yesmaximal, characteristic
3#13126085C2116yesmaximal, direct product factor
4C2×#11718537C211yesmaximal, characteristic, complemented
5C2×#11718539C211yesmaximal, characteristic, complemented
6C2×#11718425C211yesmaximal, characteristic, complemented
7C2×#11718421C211yesmaximal, characteristic, complemented
8C2×#11718629C211yesmaximal, characteristic, complemented
9C2×#11718398C211yesmaximal, characteristic, complemented
10C2×#11718696C211yesmaximal, characteristic, complemented
11C2×#11718552C211yesmaximal, characteristic, complemented
12C2×#11718427C211yesmaximal, characteristic, complemented
13C2×#11718422C211yesmaximal, characteristic, complemented
14C2×#11718551C211yesmaximal, characteristic, complemented
15C2×#11718381C211yesmaximal, characteristic, complemented
16C2×C13×#480C211yesmaximal, characteristic, complemented
17C2×C13×#121C2211yescharacteristic
18C22×C13×C4⋊C4C2211yescharacteristic
19C2×#88194C2211yescharacteristic
20C2×#88193—21no—
21C2×#88192—21no—
22C2×D4×Dic13C2211yescharacteristic
23C2×#88184C2211yescharacteristic
24C2×#88180C2211yescharacteristic
25C2×#88180C2211yescharacteristic
26C2×#88178—21no—
27C2×#88178—21no—
28#11719324—24no—
29#11719324C2218yes—
30C2×#88147C2211yescharacteristic
31#11719205—24no—
32#11719205C2218yescomplemented
33C2×#88144—21no—
34C2×#88144C2211yescharacteristic
35C2×#88144C2211yescharacteristic
36C2×#88144C2211yescharacteristic
37C2×#88142—21no—
38C2×#88142C2211yescharacteristic
39C2×#88142C2211yescharacteristic
40C2×#88140—21no—
41C2×#88137—21no—
42C13×#480C2218yescomplemented
43C2×C13×#107C2211yescharacteristic
44C2×C13×#107C2211yescharacteristic
45C2×C13×#102C2211yescharacteristic
46C2×C13×#102C2211yescharacteristic
47C2×C13×C22⋊C8C2211yescharacteristic
48C2×#88072C2211yescharacteristic
49C2×#88072C2211yescharacteristic
50C2×C22⋊#1055C2211yescharacteristic
51C2×#88061C2211yescharacteristic
52C2×#88061C2211yescharacteristic
53C2×#88058C2211yescharacteristic
54C2×#88057C2211yescharacteristic
55C2×#88055C2211yescharacteristic
56C2×#88054C2211yescharacteristic
57C2×#88054C2211yescharacteristic
58C2×C8×Dic13C2211yescharacteristic
59#11718696C2218yescomplemented
60#11718629C2218yescomplemented
61C2×#88049C2211yescharacteristic
62C2×#88049C2211yescharacteristic
63C2×#88048C2211yescharacteristic
64C2×#88048C2211yescharacteristic
65C2×#88048C2211yescharacteristic
66C2×#88047C2211yescharacteristic
67#11718552C2218yescomplemented
68#11718551C2218yescomplemented
69#11718539C2218yescomplemented
70#11718537C2218yescomplemented
71#11718427C2218yescomplemented
72#11718425C2218yescomplemented
73#11718422C2218yescomplemented
74#11718421C2218yescomplemented
75#11718398C2218yescomplemented
76#11718381C2218yescomplemented
77C22×D4×C13—21no—
78C22×D4×C13C2311yescharacteristic
79C23×C4×C13—21no—
80C23×C4×C13C2311yescharacteristic
81C22×C22⋊D13—21no—
82C22×C22⋊D13—21no—
83C22×C22⋊D13—21no—
84C23×Dic13—21no—
85C22×D52C2311yescharacteristic
86C22×C4×D13—21no—
87C22×Dic26—21no—
88C22×Dic26—21no—
89C22×C8×C13C2311yescharacteristic
90C22×C8×C13C2311yescharacteristic
91C13×#121—22no—
92C13×#121C2314yes—
93C2×C13×C4⋊C4—21no—
94C2×C13×C4⋊C4—22no—
95C2×C13×C4⋊C4C2311yescharacteristic
96C2×C13×C4⋊C4C2311yescharacteristic
97C2×C13×C4⋊C4C2311yescharacteristic
98C2×C13×C4⋊C4C2314yes—
99C2×C13×C22⋊C4—21no—
100C2×C22⋊Dic13—21no—
101C2×C22⋊Dic13—21no—
102C2×C22⋊Dic13D411yescharacteristic
103C2×C22⋊Dic13D411yescharacteristic
104#88194—22no—
105#88194C2314yes—
106#88193—28no—
107#88192—28no—
108D4×Dic13—22no—
109D4×Dic13C2314yes—
110#88184—22no—
111#88184C2314yes—
112C2×#6103—21no—
113C2×#6103—21no—
114#88180—22no—
115#88180D414yes—
116#88180C2314yes—
117#88180C2314yes—
118C2×C4⋊Dic13—21no—
119C2×C4⋊Dic13—21no—
120C2×C4⋊Dic13—21no—
121C2×C4⋊Dic13D411yescharacteristic
122C2×C4⋊Dic13D411yescharacteristic
123C2×C4⋊Dic13C2311yescharacteristic
124C2×C4⋊Dic13C2311yescharacteristic
125C2×C4⋊Dic13C2311yescharacteristic
126#88178—28no—
127#88178—28no—
128C2×#6101—21no—
129C2×#6101—21no—
130C2×#6101—21no—
131C2×#6101—21no—
132C2×#6101—21no—
133C2×C4×Dic13—21no—
134C2×C4×Dic13C2311yescharacteristic
135C2×C4×Dic13C2311yescharacteristic
136C22×#1055C2311yescharacteristic
137C22×#1055C2311yescharacteristic
138#88147—22no—
139#88147C2314yes—
140#88144—28no—
141#88144—22no—
142#88144—22no—
143#88144—22no—
144#88144C2314yes—
145#88144C2314yes—
146#88144C2314yes—
147#88142—28no—
148#88142—22no—
149#88142—22no—
150#88142C2314yes—
151#88142C2314yes—
152#88140—28no—
153#88137—28no—
154C13×#107C2314yes—
155C13×#107C2314yes—
156C13×#102C2314yes—
157C13×#102C2314yes—
158C13×C22⋊C8C2314yes—
159#88072C2314yes—
160#88072C2314yes—
161C22⋊#1055C2314yes—
162#88061C2314yes—
163#88061C2314yes—
164#88058C2314yes—
165#88057C2314yes—
166#88055C2314yes—
167#88054C2314yes—
168#88054C2314yes—
169C8×Dic13C2314yes—
170#88049C2314yes—
171#88049C2314yes—
172#88048C2314yes—
173#88048C2314yes—
174#88048C2314yes—
175#88047C2314yes—
176C2×#3241—131nomaximal, Sylow
177C24×C13—21no—
178C24×C13C2×D411yescharacteristic
179C23×D13—21no—
180C2×D4×C13—24no—
181C2×D4×C13—21no—
182C2×D4×C13—22no—
183C2×D4×C13—22no—
184C2×D4×C13—82no—
185C2×D4×C13C2412yes—
186C22×C4×C13—22no—
187C22×C4×C13—22no—
188C22×C4×C13—21no—
189C22×C4×C13—21no—
190C22×C4×C13—21no—
191C22×C4×C13—24no—
192C22×C4×C13—82no—
193C22×C4×C13C2×D411yescharacteristic
194C22×C4×C13C2×D412yes—
195C22×C4×C13C2412yes—
196C22×C4×C13C2411yescharacteristic
197C2×C22⋊D13—24no—
198C2×C22⋊D13—24no—
199C2×C22⋊D13—24no—
200C2×C22⋊D13—82no—
201C2×C22⋊D13—82no—
202C2×C22⋊D13—82no—
203C22×Dic13—21no—
204C22×Dic13—21no—
205C22×Dic13—21no—
206C22×Dic13—24no—
207C22×Dic13—82no—
208C22×Dic13C2×D411yescharacteristic
209C22×Dic13C2×D411yescharacteristic
210C22×Dic13C2×D411yescharacteristic
211C22×Dic13C2×D411yescharacteristic
212C2×D52—22no—
213C2×D52—22no—
214C2×D52—21no—
215C2×D52C2412yes—
216C2×C4×D13—24no—
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×C13C2412yes—
225C2×C8×C13C2412yes—
226C13×C4⋊C4—24no—
227C13×C4⋊C4—21no—
228C13×C4⋊C4—21no—
229C13×C4⋊C4—21no—
230C13×C4⋊C4C2412yes—
231C13×C4⋊C4C2412yes—
232C13×C4⋊C4C2412yes—
233C13×C22⋊C4—24no—
234C22⋊Dic13—24no—
235C22⋊Dic13—24no—
236C22⋊Dic13C2×D414yes—
237C22⋊Dic13C2×D414yes—
238#6103—24no—
239#6103—24no—
240C4⋊Dic13—21no—
241C4⋊Dic13—21no—
242C4⋊Dic13—21no—
243C4⋊Dic13—24no—
244C4⋊Dic13—24no—
245C4⋊Dic13—24no—
246C4⋊Dic13C2×D414yes—
247C4⋊Dic13C2×D414yes—
248C4⋊Dic13C2412yes—
249C4⋊Dic13C2412yes—
250C4⋊Dic13C2412yes—
251#6101—24no—
252#6101—24no—
253#6101—24no—
254#6101—24no—
255#6101—24no—
256C4×Dic13—24no—
257C4×Dic13C2×D412yes—
258C4×Dic13C2×D412yes—
259C4×Dic13C2412yes—
260C4×Dic13C2412yes—
261C2×#1055—22no—
262C2×#1055—22no—
263C2×#1055C2412yes—
264C2×#1055C2412yes—
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×#480D1311yescharacteristic, complemented
276C2×#478—131no—
277C2×#478—131no—
278C2×#476—131no—
279C2×#474—131no—
280C2×#433—131no—
281C23×C13—22no—
282C23×C13—22no—
283C23×C13—22no—
284C23×C13—22no—
285C23×C13—42no—
286C23×C13—42no—
287C23×C13—42no—
288C23×C13C22×D412yes—
289C23×C13C22×D411yescharacteristic
290C22×D13—22no—
291C22×D13—42no—
292C22×D13—42no—
293C22×D13—42no—
294D4×C13—22no—
295D4×C13—22no—
296D4×C13—42no—
297D4×C13—84no—
298C2×C4×C13—22no—
299C2×C4×C13—24no—
300C2×C4×C13—22no—
301C2×C4×C13—22no—
302C2×C4×C13—22no—
303C2×C4×C13—22no—
304C2×C4×C13—22no—
305C2×C4×C13—42no—
306C2×C4×C13—42no—
307C2×C4×C13—42no—
308C2×C4×C13—84no—
309C2×C4×C13C22×D412yes—
310C2×C4×C13C22×D411yescharacteristic
311C2×C4×C132−1+412yes—
312C2×C4×C132−1+412yes—
313C2×C4×C13C2511yescharacteristic
314C22⋊D13—84no—
315C22⋊D13—84no—
316C22⋊D13—84no—
317C2×Dic13—22no—
318C2×Dic13—22no—
319C2×Dic13—22no—
320C2×Dic13—22no—
321C2×Dic13—22no—
322C2×Dic13—22no—
323C2×Dic13—22no—
324C2×Dic13—42no—
325C2×Dic13—42no—
326C2×Dic13—42no—
327C2×Dic13—84no—
328C2×Dic13C22×D412yes—
329C2×Dic13C22×D412yes—
330C2×Dic13C22×D412yes—
331C2×Dic13C22×D412yes—
332D52—22no—
333D52—22no—
334D52—42no—
335C4×D13—84no—
336Dic26—84no—
337Dic26—84no—
338C8×C13—22no—
339C8×C13—22no—
340#1055—22no—
341#1055—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—261no—
360C2×#121—261no—
361C2×#121C2×D1311yescharacteristic
362C2×C4×D4—131no—
363C2×C4×D4—131no—
364C2×#117—131no—
365C2×#117—131no—
366C22×C4⋊C4C2×D1311yescharacteristic
367#501—138no—
368#499—138no—
369#490—138no—
370#486—138no—
371#482—138no—
372#482—138no—
373#481—138no—
374#480C2×D1318yescomplemented
375#478—138no—
376#478—138no—
377#476—138no—
378#474—138no—
379#433—138no—
380C2×#107—131no—
381C2×#107—131no—
382C2×#107C2×D1311yescharacteristic
383C2×#107C2×D1311yescharacteristic
384C2×#106—131no—
385C2×#106—131no—
386C2×#106—131no—
387C2×#106—131no—
388C2×C4⋊C8—131no—
389C2×C4⋊C8—131no—
390C2×#102—131no—
391C2×#102—131no—
392C2×#102—131no—
393C2×#102—131no—
394C2×#102—131no—
395C2×#102—131no—
396C2×#102C2×D1311yescharacteristic
397C2×#102C2×D1311yescharacteristic
398C2×C22⋊C8—131no—
399C2×C22⋊C8C2×D1311yescharacteristic
400C2×#97—131no—
401C2×C4×C8—131no—
402C22×C13—22no—
403C22×C13—22no—
404C22×C13—22no—
405C22×C13—44no—
406C22×C13—42no—
407C22×C13—42no—
408C22×C13—42no—
409C22×C13—84no—
410C22×C13#53612yes—
411C22×C13#57612yes—
412C22×C13#57712yes—
413C22×C13C23×D411yescharacteristic
414C2×D13—42no—
415C2×D13—42no—
416C2×D13—42no—
417C2×D13—84no—
418C4×C13—22no—
419C4×C13—42no—
420C4×C13—42no—
421C4×C13—42no—
422C4×C13#53612yes—
423C4×C13C2×2−1+411yescharacteristic
424C4×C13C2×2−1+411yescharacteristic
425Dic13—22no—
426Dic13—22no—
427Dic13—22no—
428Dic13—22no—
429Dic13—42no—
430Dic13—42no—
431Dic13—42no—
432C22×Q8—261no—
433C22×Q8—261no—
434C22×D4—21no—
435C22×D4—131no—
436C22×D4—261no—
437C22×D4—261no—
438C22×D4—261no—
439C22×D4C22×D1311yescharacteristic
440C23×C4—21no—
441C23×C4—261no—
442C23×C4—261no—
443C23×C4C22×D1311yescharacteristic
444C22×C8—131no—
445C22×C8—131no—
446C22×C8C22×D1311yescharacteristic
447C22×C8C22×D1311yescharacteristic
448C4⋊Q8—134no—
449C4⋊Q8—134no—
450C4⋊Q8—262no—
451C4⋊Q8—262no—
452C4⋊Q8—268no—
453#127—134no—
454#127—262no—
455#125—134no—
456#125—134no—
457#125—134no—
458#125—262no—
459#125—262no—
460#125—262no—
461#125—268no—
462#123—268no—
463#123—268no—
464C22⋊Q8—268no—
465C22⋊Q8—268no—
466#121—22no—
467#121—134no—
468#121—268no—
469#121—268no—
470#121—262no—
471#121C22×D1314yes—
472C4×D4—134no—
473C4×D4—134no—
474C4×D4—262no—
475C4×D4—262no—
476#117—134no—
477#117—134no—
478#117—134no—
479#117—262no—
480C2×C4⋊C4—21no—
481C2×C4⋊C4—22no—
482C2×C4⋊C4—131no—
483C2×C4⋊C4—131no—
484C2×C4⋊C4—131no—
485C2×C4⋊C4—131no—
486C2×C4⋊C4—131no—
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⋊C4—261no—
494C2×C4⋊C4—261no—
495C2×C4⋊C4C22×D1311yescharacteristic
496C2×C4⋊C4C22×D1311yescharacteristic
497C2×C4⋊C4C22×D1314yes—
498C2×C4⋊C4C22×D1311yescharacteristic
499C2×C22⋊C4—21no—
500C2×C22⋊C4—131no—
501C2×C22⋊C4—131no—
502C2×C22⋊C4—261no—
503C2×C22⋊C4—261no—
504C2×C22⋊C4—261no—
505C2×C22⋊C4—261no—
506C2×C42—131no—
507C2×C42—131no—
508C2×C42—261no—
509#107—134no—
510#107—134no—
511#107C22×D1314yes—
512#107C22×D1314yes—
513#106—134no—
514#106—134no—
515#106—134no—
516#106—134no—
517C4⋊C8—134no—
518C4⋊C8—134no—
519#102—134no—
520#102—134no—
521#102—134no—
522#102—134no—
523#102—134no—
524#102—134no—
525#102C22×D1314yes—
526#102C22×D1314yes—
527C22⋊C8—134no—
528C22⋊C8C22×D1314yes—
529#97—134no—
530C4×C8—134no—
531C2×C13—42no—
532C2×C13—82no—
533C2×C13#324114yescomplemented
534C2×C13C2×#53611yescharacteristic
535C2×C13C2×#57611yescharacteristic
536C2×C13C2×#57711yescharacteristic
537D13—82no—
538C24—21no—
539C24—261no—
540C24D4×D1311yescharacteristic
541C2×Q8—264no—
542C2×Q8—264no—
543C2×Q8—1042no—
544C2×Q8—1042no—
545C2×D4—24no—
546C2×D4—21no—
547C2×D4—22no—
548C2×D4—22no—
549C2×D4—82no—
550C2×D4—132no—
551C2×D4—264no—
552C2×D4—264no—
553C2×D4—264no—
554C2×D4—261no—
555C2×D4—262no—
556C2×D4—262no—
557C2×D4—1042no—
558C2×D4—1042no—
559C2×D4—1042no—
560C2×D4C23×D1312yes—
561C22×C4—22no—
562C22×C4—22no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—21no—
566C22×C4—24no—
567C22×C4—82no—
568C22×C4—131no—
569C22×C4—131no—
570C22×C4—131no—
571C22×C4—131no—
572C22×C4—264no—
573C22×C4—264no—
574C22×C4—261no—
575C22×C4—261no—
576C22×C4—261no—
577C22×C4—1042no—
578C22×C4—1042no—
579C22×C4D4×D1312yes—
580C22×C4D4×D1311yescharacteristic
581C22×C4C23×D1312yes—
582C22×C4C23×D1311yescharacteristic
583C2×C8—22no—
584C2×C8—22no—
585C2×C8—132no—
586C2×C8—132no—
587C2×C8—262no—
588C2×C8—262no—
589C2×C8C23×D1312yes—
590C2×C8C23×D1312yes—
591C4⋊C4—24no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—134no—
596C4⋊C4—134no—
597C4⋊C4—132no—
598C4⋊C4—132no—
599C4⋊C4—132no—
600C4⋊C4—264no—
601C4⋊C4—264no—
602C4⋊C4—264no—
603C4⋊C4—264no—
604C4⋊C4—264no—
605C4⋊C4—264no—
606C4⋊C4—264no—
607C4⋊C4—264no—
608C4⋊C4—261no—
609C4⋊C4—261no—
610C4⋊C4—261no—
611C4⋊C4C23×D1312yes—
612C4⋊C4C23×D1312yes—
613C4⋊C4C23×D1312yes—
614C22⋊C4—24no—
615C22⋊C4—134no—
616C22⋊C4—134no—
617C22⋊C4—264no—
618C22⋊C4—264no—
619C22⋊C4—264no—
620C22⋊C4—264no—
621C42—132no—
622C42—132no—
623C42—132no—
624C42—132no—
625C42—264no—
626C13C2×#324111yescharacteristic, complemented, Sylow
627C23—22no—
628C23—22no—
629C23—22no—
630C23—22no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—262no—
635C23—522no—
636C23—522no—
637C23—522no—
638C23C2×D4×D1312yes—
639C23C2×D4×D1311yescharacteristic
640Q8—1044no—
641Q8—1044no—
642D4—22no—
643D4—22no—
644D4—42no—
645D4—84no—
646D4—262no—
647D4—262no—
648D4—522no—
649D4—1044no—
650D4—1044no—
651D4—1044no—
652C2×C4—22no—
653C2×C4—24no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—84no—
663C2×C4—132no—
664C2×C4—132no—
665C2×C4—132no—
666C2×C4—132no—
667C2×C4—262no—
668C2×C4—262no—
669C2×C4—262no—
670C2×C4—262no—
671C2×C4—262no—
672C2×C4—262no—
673C2×C4—262no—
674C2×C4—522no—
675C2×C4—522no—
676C2×C4—522no—
677C2×C4—1044no—
678C2×C4—1044no—
679C2×C4C2×D4×D1312yes—
680C2×C4C2×D4×D1311yescharacteristic
681C2×C4#8825712yes—
682C2×C4#8825712yes—
683C2×C4C24×D1311yescharacteristic
684C8—22no—
685C8—22no—
686C8—262no—
687C8—262no—
688C22—22no—
689C22—22no—
690C22—22no—
691C22—44no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—84no—
696C22—522no—
697C22—522no—
698C22—522no—
699C22—1044no—
700C22#1171935312yes—
701C22#1171946212yes—
702C22#1171948312yes—
703C22C22×D4×D1311yescharacteristic
704C4—22no—
705C4—42no—
706C4—42no—
707C4—42no—
708C4—262no—
709C4—262no—
710C4—262no—
711C4—262no—
712C4—522no—
713C4—522no—
714C4—522no—
715C4#1171935312yes—
716C4C2×#8825711yescharacteristic
717C4C2×#8825711yescharacteristic
718C2—42no—
719C2—82no—
720C2—1042no—
721C2#1312608514yesdirect product factor
722C2C2×#1171935311yescharacteristic
723C2C2×#1171946211yescharacteristic
724C2C2×#1171948311yescharacteristic
subgroupG/H
centerC23C2×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#480C2
socleC23×C13C22×D4
prime radicalC2×#11719324C2
hypercenterC2×#480D13
hypocenterC13C2×#3241
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#480

Complements

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

NH ≅ G/Ntype
1. C2×#11719205C2semidirect
3. #13126085C2direct (N × H)
4. C2×#11718537C2semidirect
5. C2×#11718539C2semidirect
6. C2×#11718425C2semidirect
7. C2×#11718421C2semidirect
8. C2×#11718629C2semidirect
9. C2×#11718398C2semidirect
10. C2×#11718696C2semidirect
11. C2×#11718552C2semidirect
12. C2×#11718427C2semidirect
13. C2×#11718422C2semidirect
14. C2×#11718551C2semidirect
15. C2×#11718381C2semidirect
16. C2×C13×#480C2semidirect
32. #11719205C22semidirect
42. C13×#480C22semidirect
59. #11718696C22semidirect
60. #11718629C22semidirect
67. #11718552C22semidirect
68. #11718551C22semidirect
69. #11718539C22semidirect
70. #11718537C22semidirect
71. #11718427C22semidirect
72. #11718425C22semidirect
73. #11718422C22semidirect
74. #11718421C22semidirect
75. #11718398C22semidirect
76. #11718381C22semidirect
275. C2×#480D13semidirect
374. #480C2×D13semidirect
533. C2×C13#3241semidirect
626. C13C2×#3241semidirect
721. C2#13126085direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117192052
C2×#117193242
#131260852
C2×#117185372
C2×#117185392
C2×#117184252
C2×#117184212
C2×#117186292
C2×#117183982
C2×#117186962
C2×#117185522
C2×#117184272
C2×#117184222
C2×#117185512
C2×#117183812
C2×C13×#4802
C2×#324113