Finite Group Databasebeta

← #15869644

Subgroups — #15869644

Order 3328.

1086 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×#11718795C211yesmaximal, characteristic
2C2×#11718371C211yesmaximal, characteristic, complemented
3C4×#88178C211yesmaximal, characteristic, complemented
4C4×#88184C211yesmaximal, characteristic
5#13115690C211yesmaximal, characteristic, complemented
6#13115569C211yesmaximal, characteristic, complemented
7#13115519C211yesmaximal, characteristic, complemented
8#13115512C211yesmaximal, characteristic, complemented
9#13115274C211yesmaximal, characteristic
10#13115269C211yesmaximal, characteristic, complemented
11#13114869C211yesmaximal, characteristic, complemented
12#13114733C211yesmaximal, characteristic, complemented
13#13114667C211yesmaximal, characteristic, complemented
14#13114662C211yesmaximal, characteristic, complemented
15C2×C4×C13×M16C211yesmaximal, characteristic, complemented
16C22×C13×M16C2211yescharacteristic
17C22×C13×M16C2211yescharacteristic
18C22×C42×C13C2211yescharacteristic
19C2×#88184C2211yescharacteristic
20C2×C4×C22⋊D13—21no—
21C2×#88178C2211yescharacteristic
22C22×#6095C2211yescharacteristic
23C2×C4×D52C2211yescharacteristic
24C2×C4×Dic26C2211yescharacteristic
25C4×C13×M16—24no—
26C2×C13×#97C2211yescharacteristic
27C2×C13×#97C2211yescharacteristic
28C2×C4×C8×C13C2211yescharacteristic
29C2×C4×C8×C13C2211yescharacteristic
30#11718874—21no—
31#11718873C2211yescharacteristic
32#11718873C2211yescharacteristic
33#11718871—21no—
34C4×C22⋊Dic13—21no—
35#11718795C418yescomplemented
36C2×#88061C2211yescharacteristic
37C2×#88061C2211yescharacteristic
38C2×#88061C2211yescharacteristic
39C2×#88058C2211yescharacteristic
40C2×#88058C2211yescharacteristic
41C2×#88057C2211yescharacteristic
42C2×#88056C2211yescharacteristic
43C2×#88056C2211yescharacteristic
44C2×#88056C2211yescharacteristic
45#11718601—21no—
46#11718600C2211yescharacteristic
47C4×#6103—21no—
48C4×C4⋊Dic13C2211yescharacteristic
49C4×C4⋊Dic13C2211yescharacteristic
50#11718594—21no—
51C4×#6101—21no—
52#11718590C2211yescharacteristic
53#11718589C2211yescharacteristic
54#11718589C2211yescharacteristic
55#11718371—24no—
56#11718143C2211yescharacteristic
57#11718143C2211yescharacteristic
58#11718143C2211yescharacteristic
59#11718143C2211yescharacteristic
60#11718143C2211yescharacteristic
61#11718143C2211yescharacteristic
62C23×C4×C13D411yescharacteristic
63C23×C4×C13D411yescharacteristic
64C23×C4×C13C2311yescharacteristic
65C22×C22⋊D13—21no—
66C22×D52C2311yescharacteristic
67C22×C4×D13—21no—
68C22×Dic26C2311yescharacteristic
69C2×C13×M16—22no—
70C2×C13×M16—22no—
71C2×C13×M16—22no—
72C2×C13×M16—22no—
73C2×C13×M16—22no—
74C2×C13×M16C2×C414yescomplemented
75C22×C8×C13C2311yescharacteristic
76C22×C8×C13C2311yescharacteristic
77C22×C8×C13C2311yescharacteristic
78C22×C8×C13C2311yescharacteristic
79C2×C42×C13—22no—
80C2×C42×C13—22no—
81C2×C42×C13D411yescharacteristic
82C2×C42×C13D411yescharacteristic
83C2×C42×C13C2311yescharacteristic
84C2×C42×C13C2311yescharacteristic
85C2×C22⋊Dic13—21no—
86C2×C22⋊Dic13—21no—
87C2×C22⋊Dic13—21no—
88#88184—22no—
89#88184C2×C414yes—
90C4×C22⋊D13—44no—
91C2×#6103—21no—
92C2×#6103—21no—
93C2×#6103—21no—
94C2×#6103—21no—
95C2×C4⋊Dic13C2311yescharacteristic
96C2×C4⋊Dic13C2311yescharacteristic
97C2×C4⋊Dic13C2311yescharacteristic
98C2×C4⋊Dic13C2311yescharacteristic
99C2×C4⋊Dic13C2311yescharacteristic
100C2×C4⋊Dic13C2311yescharacteristic
101#88178—22no—
102#88178C2×C414yescomplemented
103C2×#6101—21no—
104C2×#6101—21no—
105C2×#6101—21no—
106C2×#6101—21no—
107C2×C4×Dic13—21no—
108C2×C4×Dic13—21no—
109C2×C4×Dic13—21no—
110C2×#6095—22no—
111C2×#6095—22no—
112C2×#6095C2×C414yescomplemented
113C4×D52—22no—
114C4×D52—22no—
115C4×Dic26—22no—
116C4×Dic26—22no—
117C13×#97—22no—
118C13×#97D414yescomplemented
119C4×C8×C13—22no—
120C4×C8×C13—22no—
121#88071—21no—
122#88071—21no—
123#88071—21no—
124#88071—21no—
125#88071—21no—
126#88071—21no—
127#88071—21no—
128#88071—21no—
129#88061—22no—
130#88061—22no—
131#88061C2×C414yescomplemented
132#88058—22no—
133#88058C2×C414yescomplemented
134#88057—22no—
135#88056—22no—
136#88056—22no—
137#88056C2×C414yescomplemented
138#21540—131nomaximal, Sylow
139C24×C13C2×D411yescharacteristic
140C23×D13—21no—
141C22×C4×C13—21no—
142C22×C4×C13—21no—
143C22×C4×C13—21no—
144C22×C4×C13—21no—
145C22×C4×C13—22no—
146C22×C4×C13—22no—
147C22×C4×C13—22no—
148C22×C4×C13—22no—
149C22×C4×C13—41no—
150C22×C4×C13—41no—
151C22×C4×C13C22×C412yes—
152C22×C4×C13C2×D411yescharacteristic
153C22×C4×C13C2×D411yescharacteristic
154C22×C4×C13C2×D411yescharacteristic
155C22×C4×C13C2×D411yescharacteristic
156C22×C4×C13C2×D411yescharacteristic
157C22×C4×C13#4112yes—
158C22×C4×C13C2411yescharacteristic
159C2×C22⋊D13—24no—
160C2×C22⋊D13—42no—
161C2×C22⋊D13—42no—
162C22×Dic13—21no—
163C22×Dic13—21no—
164C22×Dic13—21no—
165C22×Dic13—21no—
166C22×Dic13—21no—
167C22×Dic13—21no—
168C22×Dic13—21no—
169C2×D52—21no—
170C2×D52—21no—
171C2×D52—21no—
172C2×D52—21no—
173C2×D52—21no—
174C2×D52C22×C412yes—
175C2×C4×D13—42no—
176C2×C4×D13—42no—
177C2×C4×D13—42no—
178C2×Dic26—21no—
179C2×Dic26—21no—
180C2×Dic26—21no—
181C2×Dic26—21no—
182C2×Dic26—21no—
183C2×Dic26C22×C412yes—
184C13×M16—28no—
185C13×M16—28no—
186C2×C8×C13—21no—
187C2×C8×C13—21no—
188C2×C8×C13—21no—
189C2×C8×C13—21no—
190C2×C8×C13—21no—
191C2×C8×C13—21no—
192C2×C8×C13C22×C412yes—
193C2×C8×C13C22×C412yes—
194C2×C8×C13C2×D412yes—
195C2×C8×C13C2×D412yes—
196C2×C8×C13#4112yes—
197C2×C8×C13#4112yes—
198C42×C13—22no—
199C42×C13—22no—
200C42×C13—21no—
201C42×C13—21no—
202C42×C13C2×D412yes—
203C42×C13#4112yes—
204C22⋊Dic13—24no—
205C22⋊Dic13—42no—
206C22⋊Dic13—42no—
207#6103—24no—
208#6103—42no—
209#6103—42no—
210#6103—42no—
211C4⋊Dic13—21no—
212C4⋊Dic13—21no—
213C4⋊Dic13—21no—
214C4⋊Dic13—21no—
215C4⋊Dic13—21no—
216C4⋊Dic13—21no—
217C4⋊Dic13—21no—
218C4⋊Dic13—21no—
219C4⋊Dic13—21no—
220C4⋊Dic13—21no—
221C4⋊Dic13C22×C412yes—
222C4⋊Dic13C22×C412yes—
223#6101—24no—
224#6101—42no—
225#6101—42no—
226#6101—42no—
227C4×Dic13—42no—
228C4×Dic13—42no—
229C4×Dic13—42no—
230#6095—28no—
231C2×#468—131no—
232C2×#440—131no—
233C2×C4×M16D1311yescharacteristic, complemented
234C4×C22⋊Q8—131no—
235C4×#121—131no—
236#1968—131no—
237#1942—131no—
238#1934—131no—
239#1933—131no—
240#1895—131no—
241#1894—131no—
242#1809—131no—
243#1776—131no—
244#1763—131no—
245#1762—131no—
246C23×C13—21no—
247C23×C13—21no—
248C23×C13—21no—
249C23×C13—21no—
250C23×C13—21no—
251C23×C13—21no—
252C23×C13C4×D412yes—
253C23×C13C22×D411yescharacteristic
254C22×D13—22no—
255C22×D13—41no—
256C22×D13—41no—
257C22×D13—41no—
258C22×D13—41no—
259C22×D13—41no—
260C22×D13—41no—
261C2×C4×C13—21no—
262C2×C4×C13—21no—
263C2×C4×C13—21no—
264C2×C4×C13—21no—
265C2×C4×C13—21no—
266C2×C4×C13—21no—
267C2×C4×C13—21no—
268C2×C4×C13—21no—
269C2×C4×C13—21no—
270C2×C4×C13—21no—
271C2×C4×C13—22no—
272C2×C4×C13—22no—
273C2×C4×C13—22no—
274C2×C4×C13—22no—
275C2×C4×C13—44no—
276C2×C4×C13—44no—
277C2×C4×C13C4×D412yes—
278C2×C4×C13#12112yes—
279C2×C4×C13#12112yes—
280C2×C4×C13AGL(1,ℤ/8)12yes—
281C2×C4×C13#13712yes—
282C2×C4×C13C23×C411yescharacteristic
283C2×C4×C13C22×D411yescharacteristic
284C2×C4×C13C2×#4111yescharacteristic
285C2×C4×C13C2×#4111yescharacteristic
286C2×C4×C13C2×#4111yescharacteristic
287C2×C4×C13C2×#4111yescharacteristic
288C22⋊D13—48no—
289C2×Dic13—22no—
290C2×Dic13—22no—
291C2×Dic13—22no—
292C2×Dic13—41no—
293C2×Dic13—41no—
294C2×Dic13—41no—
295C2×Dic13—41no—
296C2×Dic13—41no—
297C2×Dic13—41no—
298C2×Dic13—41no—
299C2×Dic13—41no—
300C2×Dic13—41no—
301C2×Dic13—41no—
302C2×Dic13—41no—
303C2×Dic13—41no—
304C2×Dic13—41no—
305C2×Dic13—41no—
306C2×Dic13—41no—
307C2×Dic13—41no—
308C2×Dic13—41no—
309C2×Dic13—41no—
310D52—22no—
311D52—22no—
312D52—41no—
313D52—41no—
314C4×D13—84no—
315Dic26—22no—
316Dic26—22no—
317Dic26—41no—
318Dic26—41no—
319C8×C13—22no—
320C8×C13—22no—
321C8×C13—22no—
322C8×C13C4×D414yescomplemented
323C22×SD16—131no—
324C22×M16C2×D1311yescharacteristic
325C22×M16C2×D1311yescharacteristic
326C2×C22⋊Q8—131no—
327C2×#121—131no—
328C2×C4×Q8—131no—
329C2×C4×D4—131no—
330C2×C4×D4—261no—
331C22×C42C2×D1311yescharacteristic
332#468—138no—
333#440—264no—
334C2×#107—131no—
335C2×#107—131no—
336C2×#106—131no—
337C2×#103—131no—
338C2×#103—131no—
339C2×#103—131no—
340C2×#102—131no—
341C2×#102—131no—
342C2×#102—131no—
343C4×M16—24no—
344C2×#97C2×D1311yescharacteristic
345C2×#97C2×D1311yescharacteristic
346C2×C4×C8C2×D1311yescharacteristic
347C2×C4×C8C2×D1311yescharacteristic
348#391—131no—
349#390—131no—
350#389—131no—
351#389—131no—
352#388—261no—
353#387—261no—
354#386—261no—
355#385—261no—
356#380—131no—
357#380—131no—
358C4×C4⋊C4—131no—
359C4×C4⋊C4—131no—
360C4×C4⋊C4—261no—
361C4×C22⋊C4—261no—
362C4×C22⋊C4—261no—
363#340—131no—
364#340—131no—
365#340—131no—
366#340—131no—
367#340—131no—
368#340—131no—
369C22×C13—22no—
370C22×C13—22no—
371C22×C13—22no—
372C22×C13—41no—
373C22×C13—41no—
374C22×C13—41no—
375C22×C13—41no—
376C22×C13C2×C4×D411yescharacteristic
377C22×C13C2×#12111yescharacteristic
378C22×C13#53211yescharacteristic
379C22×C13C2×AGL(1,ℤ/8)11yescharacteristic
380C22×C13C2×#13711yescharacteristic
381C22×C13#57511yescharacteristic
382C22×C13#57511yescharacteristic
383C2×D13—42no—
384C2×D13—42no—
385C2×D13—42no—
386C2×D13—81no—
387C2×D13—81no—
388C2×D13—81no—
389C2×D13—81no—
390C4×C13—22no—
391C4×C13—22no—
392C4×C13—22no—
393C4×C13—22no—
394C4×C13—22no—
395C4×C13C2×C4×D411yescharacteristic
396C4×C13C4×#4111yescharacteristic
397C4×C13#52511yescharacteristic
398C4×C13#52911yescharacteristic
399Dic13—42no—
400Dic13—42no—
401Dic13—42no—
402Dic13—81no—
403Dic13—81no—
404Dic13—81no—
405Dic13—81no—
406C22×Q8—131no—
407C22×D4—131no—
408C22×D4—261no—
409C23×C4—261no—
410C23×C4D5211yescharacteristic
411C23×C4D5211yescharacteristic
412C23×C4C22×D1311yescharacteristic
413C2×SD16—134no—
414C2×SD16—262no—
415C2×SD16—262no—
416C2×M16—22no—
417C2×M16—22no—
418C2×M16—22no—
419C2×M16—22no—
420C2×M16—22no—
421C2×M16C4×D1314yescomplemented
422C22×C8C22×D1311yescharacteristic
423C22×C8C22×D1311yescharacteristic
424C22×C8C22×D1311yescharacteristic
425C22×C8C22×D1311yescharacteristic
426C22⋊Q8—134no—
427C22⋊Q8—262no—
428#121—134no—
429#121—262no—
430C4×Q8—262no—
431C4×Q8—262no—
432C4×D4—262no—
433C4×D4—262no—
434C4×D4—524no—
435C2×C4⋊C4—131no—
436C2×C4⋊C4—131no—
437C2×C4⋊C4—131no—
438C2×C4⋊C4—131no—
439C2×C4⋊C4—131no—
440C2×C4⋊C4—131no—
441C2×C4⋊C4—261no—
442C2×C4⋊C4—261no—
443C2×C4⋊C4—261no—
444C2×C4⋊C4—261no—
445C2×C22⋊C4—261no—
446C2×C22⋊C4—261no—
447C2×C22⋊C4—261no—
448C2×C22⋊C4—261no—
449C2×C22⋊C4—261no—
450C2×C22⋊C4—261no—
451C2×C22⋊C4—261no—
452C2×C42—22no—
453C2×C42—22no—
454C2×C42—261no—
455C2×C42—261no—
456C2×C42—261no—
457C2×C42D5211yescharacteristic
458C2×C42D5211yescharacteristic
459C2×C42C22×D1311yescharacteristic
460C2×C42C22×D1311yescharacteristic
461#107—134no—
462#107—262no—
463#106—262no—
464#103—134no—
465#103—262no—
466#103—262no—
467#102—134no—
468#102—262no—
469#102—262no—
470#97—22no—
471#97C22⋊D1314yescomplemented
472C4×C8—22no—
473C4×C8—22no—
474#95—261no—
475#95—261no—
476#95—261no—
477#95—261no—
478#95—261no—
479#95—261no—
480#95—261no—
481#95—261no—
482C2×C13—42no—
483C2×C13C4×#12111yescharacteristic
484C2×C13C4×AGL(1,ℤ/8)11yescharacteristic
485C2×C13C4×#13711yescharacteristic
486C2×C13#305511yescharacteristic
487C2×C13#305611yescharacteristic
488C2×C13#318211yescharacteristic
489C2×C13#318311yescharacteristic
490D13—82no—
491C24—261no—
492C24C2×D5211yescharacteristic
493C2×Q8—132no—
494C2×Q8—261no—
495C2×Q8—261no—
496C2×Q8—261no—
497C2×Q8—261no—
498C2×Q8—261no—
499C2×D4—132no—
500C2×D4—264no—
501C2×D4—261no—
502C2×D4—261no—
503C2×D4—261no—
504C2×D4—261no—
505C2×D4—261no—
506C2×D4—522no—
507C2×D4—522no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—41no—
517C22×C4—41no—
518C22×C4—261no—
519C22×C4—261no—
520C22×C4—261no—
521C22×C4—261no—
522C22×C4—261no—
523C22×C4—261no—
524C22×C4—261no—
525C22×C4—522no—
526C22×C4—522no—
527C22×C4—522no—
528C22×C4C2×C4×D1312yes—
529C22×C4C2×D5211yescharacteristic
530C22×C4C2×D5211yescharacteristic
531C22×C4C2×D5211yescharacteristic
532C22×C4C2×D5211yescharacteristic
533C22×C4C2×D5211yescharacteristic
534C22×C4#612712yes—
535C22×C4C23×D1311yescharacteristic
536SD16—268no—
537M16—28no—
538M16—28no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8C2×C4×D1312yes—
546C2×C8C2×C4×D1312yes—
547C2×C8#612712yes—
548C2×C8#612712yes—
549C2×C8C2×C22⋊D1312yes—
550C2×C8C2×C22⋊D1312yes—
551C4⋊C4—132no—
552C4⋊C4—132no—
553C4⋊C4—264no—
554C4⋊C4—261no—
555C4⋊C4—261no—
556C4⋊C4—261no—
557C4⋊C4—261no—
558C4⋊C4—261no—
559C4⋊C4—261no—
560C4⋊C4—261no—
561C4⋊C4—261no—
562C4⋊C4—261no—
563C4⋊C4—261no—
564C4⋊C4—522no—
565C4⋊C4—522no—
566C4⋊C4—522no—
567C22⋊C4—264no—
568C22⋊C4—264no—
569C22⋊C4—522no—
570C22⋊C4—522no—
571C22⋊C4—522no—
572C22⋊C4—522no—
573C22⋊C4—522no—
574C42—22no—
575C42—22no—
576C42—21no—
577C42—21no—
578C42—522no—
579C42—522no—
580C42—522no—
581C42#612712yes—
582C42C2×C22⋊D1312yes—
583C13#2154011yescharacteristic, complemented, Sylow
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—262no—
591C23—521no—
592C23—521no—
593C23—521no—
594C23—521no—
595C23—521no—
596C23—521no—
597C23C4×D5212yes—
598C23C22×D5211yescharacteristic
599Q8—262no—
600Q8—262no—
601Q8—521no—
602Q8—521no—
603D4—262no—
604D4—262no—
605D4—528no—
606D4—521no—
607D4—521no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—44no—
623C2×C4—44no—
624C2×C4—262no—
625C2×C4—262no—
626C2×C4—262no—
627C2×C4—521no—
628C2×C4—521no—
629C2×C4—521no—
630C2×C4—521no—
631C2×C4—521no—
632C2×C4—521no—
633C2×C4—521no—
634C2×C4—521no—
635C2×C4—521no—
636C2×C4—521no—
637C2×C4—521no—
638C2×C4—521no—
639C2×C4—521no—
640C2×C4—521no—
641C2×C4—521no—
642C2×C4—521no—
643C2×C4—521no—
644C2×C4—521no—
645C2×C4—1044no—
646C2×C4C4×D5212yes—
647C2×C4#8816212yes—
648C2×C4#8816312yes—
649C2×C4#8818412yes—
650C2×C4#8818412yes—
651C2×C4C22×C4×D1311yescharacteristic
652C2×C4C2×#612711yescharacteristic
653C2×C4C2×#612711yescharacteristic
654C2×C4C2×#612711yescharacteristic
655C2×C4C2×#612711yescharacteristic
656C2×C4C22×C22⋊D1311yescharacteristic
657C8—22no—
658C8—22no—
659C8—22no—
660C8C4×C22⋊D1314yescomplemented
661C22—22no—
662C22—22no—
663C22—22no—
664C22—41no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—522no—
669C22—522no—
670C22—522no—
671C22—1041no—
672C22—1041no—
673C22—1041no—
674C22—1041no—
675C22C2×C4×D5211yescharacteristic
676C22#1171918211yescharacteristic
677C22C2×#8816211yescharacteristic
678C22C2×#8816311yescharacteristic
679C22#1171945311yescharacteristic
680C22#1171945311yescharacteristic
681C22C2×#8818411yescharacteristic
682C4—22no—
683C4—22no—
684C4—22no—
685C4—22no—
686C4—22no—
687C4—522no—
688C4—522no—
689C4—522no—
690C4—1041no—
691C4—1041no—
692C4—1041no—
693C4—1041no—
694C4C4×#612711yescharacteristic
695C4#1171918411yescharacteristic
696C4C2×C4×C22⋊D1311yescharacteristic
697C4#1171949611yescharacteristic
698C2—42no—
699C2—1042no—
700C2C4×#8818411yescharacteristic
701C2C4×#8816211yescharacteristic
702C2C4×#8816311yescharacteristic
703C2#1312445511yescharacteristic
704C2#1312446611yescharacteristic
705C2#1312555411yescharacteristic
706C2#1312556511yescharacteristic
subgroupG/H
centerC23C22×D52
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC2×C4×C13×M16C2
socleC23×C13C22×D4
prime radicalC2×#88184C22
cosocleC22×C4×C13C24
hypercenterC2×C4×M16D13
hypocenterC13#21540
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C22×C42 ◁ C2×C4×M16

Complements

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

NH ≅ G/Ntype
2. C2×#11718371C2semidirect
3. C4×#88178C2semidirect
5. #13115690C2semidirect
6. #13115569C2semidirect
7. #13115519C2semidirect
8. #13115512C2semidirect
10. #13115269C2semidirect
11. #13114869C2semidirect
12. #13114733C2semidirect
13. #13114667C2semidirect
14. #13114662C2semidirect
15. C2×C4×C13×M16C2semidirect
35. #11718795C4semidirect
74. C2×C13×M16C2×C4semidirect
102. #88178C2×C4semidirect
112. C2×#6095C2×C4semidirect
118. C13×#97D4semidirect
131. #88061C2×C4semidirect
133. #88058C2×C4semidirect
137. #88056C2×C4semidirect
233. C2×C4×M16D13semidirect
322. C8×C13C4×D4semidirect
421. C2×M16C4×D13semidirect
471. #97C22⋊D13semidirect
583. C13#21540semidirect
660. C8C4×C22⋊D13semidirect

Maximal subgroups

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

subgroupindex
C2×#117187952
C2×#117183712
C4×#881782
C4×#881842
#131156902
#131155692
#131155192
#131155122
#131152742
#131152692
#131148692
#131147332
#131146672
#131146622
C2×C4×C13×M162
#2154013