Finite Group Databasebeta

← #15786625

Subgroups — #15786625

Order 3328.

2366 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×C4⋊Dic13C211yesmaximal, characteristic
2C2×#11718646C212yesmaximal, complemented
3C2×#11718611C211yesmaximal, characteristic
4C2×#11718611C211yesmaximal, characteristic
5C2×C22⋊C4×Dic13C211yesmaximal, characteristic
6#13113101C212yesmaximal, complemented
7#13113089C212yesmaximal, complemented
8#13113070C212yesmaximal, complemented
9#13113059C211yesmaximal, characteristic
10#13113058C211yesmaximal, characteristic
11C2×C13×#385C211yesmaximal, characteristic
12C24×C4×C13C2211yescharacteristic
13C24×Dic13C2211yescharacteristic
14C24×Dic13C2211yescharacteristic
15C22×C13×C4⋊C4C2212yes—
16C22×C13×C22⋊C4C2211yescharacteristic
17C22×C13×C22⋊C4C2211yescharacteristic
18C22×C22⋊Dic13C2211yescharacteristic
19C22×C22⋊Dic13C2211yescharacteristic
20C22×C4⋊Dic13—24no—
21C22×C4⋊Dic13—28no—
22C22×C4⋊Dic13C2212yes—
23C22×C4⋊Dic13C2211yescharacteristic
24C22×C4⋊Dic13C2212yes—
25C22×C4⋊Dic13C2212yes—
26C22×C4⋊Dic13C2211yescharacteristic
27C22×C4×Dic13C2212yes—
28C13×#385C418yescomplemented
29C2×C13×#95C2212yes—
30C2×#88071C2211yescharacteristic
31C2×#88071C2212yes—
32C2×#88071C2212yes—
33C2×#88071C2212yes—
34C2×#88071C2212yes—
35C2×#88071C2212yes—
36C2×#88071C2211yescharacteristic
37C2×#88071C2212yes—
38#11718646—28no—
39#11718611—24no—
40#11718611—24no—
41C22⋊C4×Dic13—24no—
42C25×C13C2311yescharacteristic
43C23×C4×C13—22no—
44C23×C4×C13—22no—
45C23×C4×C13—24no—
46C23×C4×C13—24no—
47C23×C4×C13C2×C414yes—
48C23×C4×C13C2311yescharacteristic
49C23×C4×C13C2311yescharacteristic
50C23×C4×C13C2312yes—
51C23×C4×C13C2312yes—
52C23×Dic13—22no—
53C23×Dic13—22no—
54C23×Dic13—22no—
55C23×Dic13—24no—
56C23×Dic13—24no—
57C23×Dic13—22no—
58C23×Dic13—22no—
59C23×Dic13—42no—
60C23×Dic13—42no—
61C23×Dic13D414yes—
62C23×Dic13C2311yescharacteristic
63C23×Dic13C2311yescharacteristic
64C23×Dic13C2311yescharacteristic
65C23×Dic13C2312yes—
66C23×Dic13C2312yes—
67C23×Dic13C2311yescharacteristic
68C2×C13×C4⋊C4—24no—
69C2×C13×C4⋊C4—24no—
70C2×C13×C4⋊C4C2×C418yescomplemented
71C2×C13×C22⋊C4—22no—
72C2×C13×C22⋊C4—22no—
73C2×C13×C22⋊C4C2×C414yes—
74C2×C13×C22⋊C4C2×C414yes—
75C2×C13×C22⋊C4D414yes—
76C2×C13×C22⋊C4Q814yes—
77C2×C22⋊Dic13—22no—
78C2×C22⋊Dic13—22no—
79C2×C22⋊Dic13—22no—
80C2×C22⋊Dic13—22no—
81C2×C22⋊Dic13—22no—
82C2×C22⋊Dic13Q814yes—
83C2×C4⋊Dic13—232no—
84C2×C4⋊Dic13—24no—
85C2×C4⋊Dic13—24no—
86C2×C4⋊Dic13—24no—
87C2×C4⋊Dic13—24no—
88C2×C4⋊Dic13—24no—
89C2×C4⋊Dic13—24no—
90C2×C4⋊Dic13—22no—
91C2×C4⋊Dic13—22no—
92C2×C4⋊Dic13—24no—
93C2×C4⋊Dic13—24no—
94C2×C4⋊Dic13—42no—
95C2×C4⋊Dic13—42no—
96C2×C4⋊Dic13D418yes—
97C2×C4×Dic13—24no—
98C2×C4×Dic13—24no—
99C2×C4×Dic13—42no—
100C13×#95C2×C418yescomplemented
101#88071—24no—
102#88071—24no—
103#88071—24no—
104#88071—24no—
105#88071—22no—
106#88071—22no—
107#88071—24no—
108#88071—42no—
109#14043—131nomaximal, Sylow
110C24×C13—22no—
111C24×C13—22no—
112C24×C13—22no—
113C24×C13—22no—
114C24×C13C22×C412yes—
115C24×C13C2×D412yes—
116C24×C13C2×D412yes—
117C24×C13C2×Q812yes—
118C24×C13C2×Q812yes—
119C24×C13#4112yes—
120C24×C13#4112yes—
121C24×C13C2411yescharacteristic
122C22×C4×C13—28no—
123C22×C4×C13—216no—
124C22×C4×C13—28no—
125C22×C4×C13—28no—
126C22×C4×C13—22no—
127C22×C4×C13—22no—
128C22×C4×C13—22no—
129C22×C4×C13—22no—
130C22×C4×C13—22no—
131C22×C4×C13—22no—
132C22×C4×C13—22no—
133C22×C4×C13—22no—
134C22×C4×C13—216no—
135C22×C4×C13—21no—
136C22×C4×C13—21no—
137C22×C4×C13—22no—
138C22×C4×C13—21no—
139C22×C4×C13—21no—
140C22×C4×C13—22no—
141C22×C4×C13—22no—
142C22×C4×C13—22no—
143C22×C4×C13C22×C412yes—
144C22×C4×C13C22×C412yes—
145C22×C4×C13C22×C414yes—
146C22×C4×C13C22×C414yes—
147C22×C4×C13C2×D414yes—
148C22×C4×C13C2×D414yes—
149C22×C4×C13C2×Q814yes—
150C22×C4×C13#4114yes—
151C22×Dic13—21no—
152C22×Dic13—21no—
153C22×Dic13—22no—
154C22×Dic13—28no—
155C22×Dic13—28no—
156C22×Dic13—22no—
157C22×Dic13—21no—
158C22×Dic13—22no—
159C22×Dic13—22no—
160C22×Dic13—22no—
161C22×Dic13—22no—
162C22×Dic13—22no—
163C22×Dic13—22no—
164C22×Dic13—22no—
165C22×Dic13—21no—
166C22×Dic13—22no—
167C22×Dic13—22no—
168C22×Dic13—22no—
169C22×Dic13—22no—
170C22×Dic13—22no—
171C22×Dic13—22no—
172C22×Dic13—28no—
173C22×Dic13—21no—
174C22×Dic13—21no—
175C22×Dic13—22no—
176C22×Dic13—21no—
177C22×Dic13—21no—
178C22×Dic13—22no—
179C22×Dic13—21no—
180C22×Dic13—21no—
181C22×Dic13—22no—
182C22×Dic13—22no—
183C22×Dic13—44no—
184C22×Dic13—48no—
185C22×Dic13—48no—
186C22×Dic13—48no—
187C22×Dic13—48no—
188C22×Dic13—44no—
189C22×Dic13—44no—
190C22×Dic13C2×D412yes—
191C22×Dic13C2×D414yes—
192C22×Dic13C2×D412yes—
193C22×Dic13C2×D414yes—
194C22×Dic13C2×Q814yes—
195C13×C4⋊C4—216no—
196C13×C22⋊C4—28no—
197C13×C22⋊C4C4⋊C4116yescomplemented
198C22⋊Dic13—28no—
199C22⋊Dic13—44no—
200C4⋊Dic13—216no—
201C4⋊Dic13—216no—
202C4⋊Dic13—48no—
203C4⋊Dic13—44no—
204C4⋊Dic13—44no—
205C4×Dic13—48no—
206C23×C4⋊C4—131no—
207C2×#389—132no—
208C2×#385—131no—
209C2×#385—131no—
210C2×#385D1311yescharacteristic
211C2×C4×C22⋊C4—131no—
212#1444—132no—
213#1441—132no—
214#1436—132no—
215C22⋊#95—131no—
216C22⋊#95—131no—
217C23×C13—24no—
218C23×C13—24no—
219C23×C13—22no—
220C23×C13—22no—
221C23×C13—24no—
222C23×C13—22no—
223C23×C13—22no—
224C23×C13—24no—
225C23×C13—24no—
226C23×C13—24no—
227C23×C13—24no—
228C23×C13—24no—
229C23×C13—24no—
230C23×C13—24no—
231C23×C13—24no—
232C23×C13—24no—
233C23×C13C2×C4⋊C414yes—
234C23×C13C4×D414yes—
235C23×C13C4×Q814yes—
236C23×C13#12114yes—
237C23×C13C22⋊Q814yes—
238C23×C13#12514yes—
239C23×C13C4⋊Q814yes—
240C23×C13C23×C411yescharacteristic
241C23×C13C22×D411yescharacteristic
242C23×C13C22×D411yescharacteristic
243C23×C13C22×D412yes—
244C23×C13C22×Q811yescharacteristic
245C23×C13C22×Q811yescharacteristic
246C23×C13C2×#4111yescharacteristic
247C23×C13C2×#4112yes—
248C23×C13C2×#4111yescharacteristic
249C23×C13H(5,𝔽2)12yes—
250C23×C132−1+412yes—
251C2×C4×C13—232no—
252C2×C4×C13—24no—
253C2×C4×C13—24no—
254C2×C4×C13—24no—
255C2×C4×C13—24no—
256C2×C4×C13—24no—
257C2×C4×C13—24no—
258C2×C4×C13—24no—
259C2×C4×C13—24no—
260C2×C4×C13—24no—
261C2×C4×C13—24no—
262C2×C4×C13—24no—
263C2×C4×C13—24no—
264C2×C4×C13—22no—
265C2×C4×C13—22no—
266C2×C4×C13—24no—
267C2×C4×C13—24no—
268C2×C4×C13—41no—
269C2×C4×C13—41no—
270C2×C4×C13—42no—
271C2×C4×C13—41no—
272C2×C4×C13—41no—
273C2×C4×C13—42no—
274C2×C4×C13C2×C4⋊C418yescomplemented
275C2×C4×C13C4×D418yes—
276C2×Dic13—22no—
277C2×Dic13—22no—
278C2×Dic13—24no—
279C2×Dic13—24no—
280C2×Dic13—22no—
281C2×Dic13—24no—
282C2×Dic13—22no—
283C2×Dic13—24no—
284C2×Dic13—22no—
285C2×Dic13—24no—
286C2×Dic13—24no—
287C2×Dic13—24no—
288C2×Dic13—24no—
289C2×Dic13—416no—
290C2×Dic13—416no—
291C2×Dic13—42no—
292C2×Dic13—42no—
293C2×Dic13—42no—
294C2×Dic13—42no—
295C2×Dic13—42no—
296C2×Dic13—42no—
297C2×Dic13—42no—
298C2×Dic13—42no—
299C2×Dic13—42no—
300C2×Dic13—42no—
301C2×Dic13—41no—
302C2×Dic13—41no—
303C2×Dic13—41no—
304C2×Dic13—41no—
305C2×Dic13—41no—
306C2×Dic13—41no—
307C2×Dic13—42no—
308C2×Dic13—42no—
309C2×Dic13—42no—
310C2×Dic13—42no—
311C2×Dic13#12014yes—
312C24×C4—131no—
313C24×C4—131no—
314C24×C4C2×D1311yescharacteristic
315C22×C4⋊C4—132no—
316C22×C4⋊C4—132no—
317C22×C4⋊C4—131no—
318C22×C4⋊C4—132no—
319C22×C4⋊C4—131no—
320C22×C4⋊C4—268no—
321C22×C4⋊C4—264no—
322C22×C4⋊C4C2×D1312yes—
323C22×C22⋊C4—131no—
324C22×C22⋊C4—131no—
325C22×C22⋊C4C2×D1311yescharacteristic
326C22×C22⋊C4C2×D1311yescharacteristic
327C22×C42—132no—
328#389—268no—
329#385—264no—
330#385—264no—
331#385Dic1318yescomplemented
332C4×C22⋊C4—264no—
333C2×#95—132no—
334C2×#95—132no—
335C2×#95—132no—
336C2×#95—131no—
337C2×#95—132no—
338C2×#95—131no—
339C2×#95—132no—
340C2×#95—132no—
341C2×#95C2×D1312yes—
342C22×C13—24no—
343C22×C13—24no—
344C22×C13—28no—
345C22×C13—28no—
346C22×C13—24no—
347C22×C13—24no—
348C22×C13—24no—
349C22×C13—28no—
350C22×C13—28no—
351C22×C13—24no—
352C22×C13#38918yescomplemented
353C22×C13C22×C4⋊C411yescharacteristic
354C22×C13C2×C4×D411yescharacteristic
355C22×C13C2×C4×D412yes—
356C22×C13C2×C4×Q811yescharacteristic
357C22×C13#52012yes—
358C22×C13C2×#12011yescharacteristic
359C22×C13C2×#12111yescharacteristic
360C22×C13C2×C22⋊Q811yescharacteristic
361C22×C13#52511yescharacteristic
362C22×C13#52512yes—
363C22×C13C2×#12511yescharacteristic
364C22×C13C2×C4⋊Q811yescharacteristic
365C22×C13#53411yescharacteristic
366C22×C13#53611yescharacteristic
367C22×C13#53912yes—
368C22×C13D4212yes—
369C22×C13#54612yes—
370C22×C13#54712yes—
371C22×C13D4×Q812yes—
372C22×C13D4×Q812yes—
373C22×C13#55212yes—
374C22×C13#55412yes—
375C22×C13#55412yes—
376C4×C13—28no—
377C4×C13—28no—
378C4×C13—42no—
379C4×C13—42no—
380Dic13—24no—
381Dic13—42no—
382Dic13—44no—
383Dic13—44no—
384Dic13—81no—
385Dic13—81no—
386C25C22×D1311yescharacteristic
387C23×C4—22no—
388C23×C4—22no—
389C23×C4—24no—
390C23×C4—24no—
391C23×C4—131no—
392C23×C4—132no—
393C23×C4—132no—
394C23×C4—131no—
395C23×C4—134no—
396C23×C4—131no—
397C23×C4—131no—
398C23×C4—264no—
399C23×C4—264no—
400C23×C4—262no—
401C23×C4—262no—
402C23×C4—262no—
403C23×C4—262no—
404C23×C4—262no—
405C23×C4—522no—
406C23×C4—522no—
407C23×C4C2×Dic1314yes—
408C23×C4C22×D1311yescharacteristic
409C23×C4C22×D1311yescharacteristic
410C23×C4C22×D1312yes—
411C23×C4C22×D1312yes—
412C2×C4⋊C4—24no—
413C2×C4⋊C4—24no—
414C2×C4⋊C4—138no—
415C2×C4⋊C4—264no—
416C2×C4⋊C4—264no—
417C2×C4⋊C4—264no—
418C2×C4⋊C4—264no—
419C2×C4⋊C4—2632no—
420C2×C4⋊C4—264no—
421C2×C4⋊C4—262no—
422C2×C4⋊C4—262no—
423C2×C4⋊C4—264no—
424C2×C4⋊C4—264no—
425C2×C4⋊C4—264no—
426C2×C4⋊C4—522no—
427C2×C4⋊C4—522no—
428C2×C4⋊C4C2×Dic1318yescomplemented
429C2×C22⋊C4—22no—
430C2×C22⋊C4—22no—
431C2×C22⋊C4—134no—
432C2×C22⋊C4—262no—
433C2×C22⋊C4—262no—
434C2×C22⋊C4—262no—
435C2×C22⋊C4—262no—
436C2×C22⋊C4—262no—
437C2×C22⋊C4Dic2614yes—
438C2×C22⋊C4D5214yes—
439C2×C22⋊C4C2×Dic1314yes—
440C2×C22⋊C4C2×Dic1314yes—
441C2×C42—264no—
442C2×C42—264no—
443C2×C42—522no—
444#95—262no—
445#95—262no—
446#95—264no—
447#95—264no—
448#95—264no—
449#95—264no—
450#95—264no—
451#95—522no—
452#95C2×Dic1318yescomplemented
453C2×C13—28no—
454C2×C13C2×#38911yescharacteristic
455C2×C13C4×#12011yescharacteristic
456C2×C13#232211yescharacteristic
457C2×C13D4×C4⋊C412yes—
458C2×C13#236012yes—
459C2×C13#241011yescharacteristic
460C2×C13#241311yescharacteristic
461C2×C13#243411yescharacteristic
462C2×C13#244912yes—
463C2×C13#247312yes—
464C2×C13#258311yescharacteristic
465C24—22no—
466C24—22no—
467C24—22no—
468C24—22no—
469C24C2×Dic2612yes—
470C24C2×D5212yes—
471C24D4×D1312yes—
472C24#612912yes—
473C24Q8×D1312yes—
474C24#613112yes—
475C24C22×Dic1312yes—
476C24C23×D1311yescharacteristic
477C22×C4—28no—
478C22×C4—216no—
479C22×C4—28no—
480C22×C4—28no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—216no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—22no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—132no—
499C22×C4—134no—
500C22×C4—134no—
501C22×C4—132no—
502C22×C4—134no—
503C22×C4—268no—
504C22×C4—261no—
505C22×C4—261no—
506C22×C4—262no—
507C22×C4—268no—
508C22×C4—268no—
509C22×C4—261no—
510C22×C4—262no—
511C22×C4—262no—
512C22×C4—262no—
513C22×C4—262no—
514C22×C4—262no—
515C22×C4—262no—
516C22×C4—262no—
517C22×C4—262no—
518C22×C4—261no—
519C22×C4—262no—
520C22×C4—262no—
521C22×C4—262no—
522C22×C4—262no—
523C22×C4—262no—
524C22×C4—262no—
525C22×C4—261no—
526C22×C4—261no—
527C22×C4—261no—
528C22×C4—262no—
529C22×C4—261no—
530C22×C4—262no—
531C22×C4—261no—
532C22×C4—261no—
533C22×C4—262no—
534C22×C4—262no—
535C22×C4—524no—
536C22×C4—528no—
537C22×C4—528no—
538C22×C4—528no—
539C22×C4—528no—
540C22×C4—524no—
541C22×C4—524no—
542C22×C4C2×Dic2614yes—
543C22×C4C2×D5214yes—
544C22×C4D4×D1314yes—
545C22×C4#612914yes—
546C22×C4C22×Dic1312yes—
547C22×C4C22×Dic1312yes—
548C22×C4C22×Dic1314yes—
549C22×C4C22×Dic1314yes—
550C4⋊C4—216no—
551C4⋊C4—2616no—
552C4⋊C4—2616no—
553C4⋊C4—528no—
554C4⋊C4—524no—
555C4⋊C4—524no—
556C22⋊C4—28no—
557C22⋊C4—268no—
558C22⋊C4—524no—
559C22⋊C4C4⋊Dic13116yescomplemented
560C42—528no—
561C13#1404311yescharacteristic, complemented, Sylow
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—22no—
569C23—24no—
570C23—22no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—22no—
576C23—22no—
577C23—24no—
578C23#8814214yes—
579C23#8814414yes—
580C23#8814914yes—
581C23#8815114yes—
582C23C2×C4⋊Dic1314yes—
583C23D4×Dic1314yes—
584C23Q8×Dic1314yes—
585C23C22×Dic2611yescharacteristic
586C23C22×D5211yescharacteristic
587C23C2×D4×D1311yescharacteristic
588C23C2×D4×D1312yes—
589C23C2×#612911yescharacteristic
590C23C2×#612912yes—
591C23C2×Q8×D1311yescharacteristic
592C23C2×#613111yescharacteristic
593C23#8825612yes—
594C23#8825712yes—
595C23C23×Dic1311yescharacteristic
596C2×C4—232no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—42no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—42no—
619C2×C4—134no—
620C2×C4—262no—
621C2×C4—264no—
622C2×C4—264no—
623C2×C4—262no—
624C2×C4—262no—
625C2×C4—264no—
626C2×C4—264no—
627C2×C4—264no—
628C2×C4—262no—
629C2×C4—264no—
630C2×C4—264no—
631C2×C4—264no—
632C2×C4—262no—
633C2×C4—5216no—
634C2×C4—5216no—
635C2×C4—522no—
636C2×C4—522no—
637C2×C4—522no—
638C2×C4—522no—
639C2×C4—522no—
640C2×C4—522no—
641C2×C4—522no—
642C2×C4—522no—
643C2×C4—522no—
644C2×C4—522no—
645C2×C4—521no—
646C2×C4—521no—
647C2×C4—522no—
648C2×C4—522no—
649C2×C4—521no—
650C2×C4—521no—
651C2×C4—522no—
652C2×C4—522no—
653C2×C4—521no—
654C2×C4—521no—
655C2×C4C2×C4⋊Dic1318yescomplemented
656C2×C4D4×Dic1318yes—
657C22—24no—
658C22—28no—
659C22—24no—
660C22—24no—
661C22—28no—
662C22—24no—
663C22—28no—
664C22—24no—
665C22—28no—
666C22—24no—
667C22#1171864618yescomplemented
668C22C2×#8814211yescharacteristic
669C22C2×#8814411yescharacteristic
670C22C2×#8814911yescharacteristic
671C22C2×#8815111yescharacteristic
672C22D4×Dic2612yes—
673C22#1171924812yes—
674C22D4×D5212yes—
675C22#1171926012yes—
676C22#1171929112yes—
677C22#1171929111yescharacteristic
678C22D13×#12011yescharacteristic
679C22#1171933512yes—
680C22#1171933712yes—
681C22#1171934012yes—
682C22#1171934712yes—
683C22#1171935311yescharacteristic
684C22#1171935811yescharacteristic
685C22#1171937012yes—
686C22C22×C4⋊Dic1311yescharacteristic
687C22C2×D4×Dic1312yes—
688C22C2×D4×Dic1311yescharacteristic
689C22C2×Q8×Dic1311yescharacteristic
690C22#1171953212yes—
691C4—28no—
692C4—28no—
693C4—42no—
694C4—42no—
695C4—264no—
696C4—522no—
697C4—524no—
698C4—524no—
699C4—1041no—
700C4—1041no—
701C2—28no—
702C2C2×#1171864611yescharacteristic
703C2#120×Dic1311yescharacteristic
704C2#1311750811yescharacteristic
705C2D4×C4⋊Dic1312yes—
706C2#1311784512yes—
707C2#1311820811yescharacteristic
708C2#1311824111yescharacteristic
709C2#1311847811yescharacteristic
710C2#1311864312yes—
711C2#1311897612yes—
712C2#1312021311yescharacteristic
subgroupG/H
center, FrattiniC24C23×D13
commutatorC23×C13C23×C4
FittingC2×C13×#385C2
socle, cosocleC24×C13C24
prime radicalC25×C13C23
hypercenterC2×#385D13
hypocenterC13#14043
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C24 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
2. C2×#11718646C2semidirect
6. #13113101C2semidirect
7. #13113089C2semidirect
8. #13113070C2semidirect
28. C13×#385C4semidirect
70. C2×C13×C4⋊C4C2×C4semidirect
100. C13×#95C2×C4semidirect
197. C13×C22⋊C4C4⋊C4semidirect
274. C2×C4×C13C2×C4⋊C4semidirect
331. #385Dic13semidirect
352. C22×C13#389semidirect
428. C2×C4⋊C4C2×Dic13semidirect
452. #95C2×Dic13semidirect
559. C22⋊C4C4⋊Dic13semidirect
561. C13#14043semidirect
655. C2×C4C2×C4⋊Dic13semidirect
667. C22#11718646semidirect

Maximal subgroups

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

subgroupindex
C23×C4⋊Dic132
C2×#117186462
C2×#117186112
C2×C22⋊C4×Dic132
#131131012
#131130892
#131130702
#131130592
#131130582
C2×C13×#3852
#1404313