Finite Group Databasebeta

← C13×#14920 #15701259

Subgroups — C13×#14920 #15701259

Order 3328.

1846 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C13×#385C211yesmaximal, characteristic
2C2×C13×#385C211yesmaximal, characteristic
3C2×C13×#380C211yesmaximal, characteristic
4C22×C13×#95C211yesmaximal, characteristic
5C13×#1445C212yesmaximal, complemented
6C13×#1442C212yesmaximal, complemented
7C13×#1441C212yesmaximal, complemented
8C13×#1441C212yesmaximal, complemented
9C13×C22⋊#95C211yesmaximal, characteristic
10C13×C22⋊#95C211yesmaximal, characteristic
11C13×C22⋊#95C211yesmaximal, characteristic
12C24×C4×C13C2211yescharacteristic
13C24×C4×C13C2211yescharacteristic
14C24×C4×C13C2211yescharacteristic
15C22×C13×C4⋊C4C2211yescharacteristic
16C22×C13×C4⋊C4C2212yes—
17C22×C13×C4⋊C4C2212yes—
18C22×C13×C4⋊C4C2211yescharacteristic
19C22×C13×C22⋊C4C2211yescharacteristic
20C22×C13×C22⋊C4C2211yescharacteristic
21C22×C13×C22⋊C4C2211yescharacteristic
22C22×C13×C22⋊C4C2211yescharacteristic
23C13×#385—24no—
24C13×#385—24no—
25C13×#380—24no—
26C2×C13×#95—24no—
27C2×C13×#95C2212yes—
28C2×C13×#95C2212yes—
29C2×C13×#95C2212yes—
30C2×C13×#95C2211yescharacteristic
31C2×C13×#95C2212yes—
32C2×C13×#95C2211yescharacteristic
33C2×C13×#95C2212yes—
34C2×C13×#95C2212yes—
35C2×C13×#95C2212yes—
36C2×C13×#95C2212yes—
37C2×C13×#95C2212yes—
38C2×C13×#95C2212yes—
39C25×C13C2311yescharacteristic
40C23×C4×C13—22no—
41C23×C4×C13—22no—
42C23×C4×C13—22no—
43C23×C4×C13—22no—
44C23×C4×C13—22no—
45C23×C4×C13—24no—
46C23×C4×C13—24no—
47C23×C4×C13—22no—
48C23×C4×C13—22no—
49C23×C4×C13—42no—
50C23×C4×C13—42no—
51C23×C4×C13—42no—
52C23×C4×C13—42no—
53C23×C4×C13D414yes—
54C23×C4×C13Q814yes—
55C23×C4×C13C2311yescharacteristic
56C23×C4×C13C2311yescharacteristic
57C23×C4×C13C2312yes—
58C23×C4×C13C2312yes—
59C23×C4×C13C2311yescharacteristic
60C23×C4×C13C2311yescharacteristic
61C23×C4×C13C2311yescharacteristic
62C23×C4×C13C2312yes—
63C23×C4×C13C2312yes—
64C23×C4×C13C2311yescharacteristic
65C2×C13×C4⋊C4—24no—
66C2×C13×C4⋊C4—24no—
67C2×C13×C4⋊C4—22no—
68C2×C13×C4⋊C4—22no—
69C2×C13×C4⋊C4—24no—
70C2×C13×C4⋊C4—24no—
71C2×C13×C4⋊C4—24no—
72C2×C13×C4⋊C4—42no—
73C2×C13×C4⋊C4—42no—
74C2×C13×C4⋊C4—42no—
75C2×C13×C22⋊C4—22no—
76C2×C13×C22⋊C4—22no—
77C2×C13×C22⋊C4—22no—
78C2×C13×C22⋊C4—22no—
79C2×C13×C22⋊C4—22no—
80C2×C13×C22⋊C4—22no—
81C2×C13×C22⋊C4—22no—
82C2×C13×C22⋊C4—22no—
83C2×C13×C22⋊C4—22no—
84C2×C13×C22⋊C4—22no—
85C2×C13×C22⋊C4D414yes—
86C2×C13×C22⋊C4Q814yes—
87C13×#95—24no—
88C13×#95—22no—
89C13×#95—22no—
90C13×#95—24no—
91C13×#95—24no—
92C13×#95—24no—
93C13×#95—24no—
94C13×#95—42no—
95C13×#95—42no—
96C13×#95—42no—
97C13×#95—42no—
98C13×#95—42no—
99#14920C1311yesmaximal, characteristic, direct product factor, Sylow
100C24×C13—22no—
101C24×C13—22no—
102C24×C13—22no—
103C24×C13—22no—
104C24×C13C2×D412yes—
105C24×C13C2×D412yes—
106C24×C13C2×Q812yes—
107C24×C13C2×Q812yes—
108C24×C13#4112yes—
109C24×C13#4112yes—
110C24×C13#4112yes—
111C24×C13C2411yescharacteristic
112C22×C4×C13—21no—
113C22×C4×C13—21no—
114C22×C4×C13—22no—
115C22×C4×C13—28no—
116C22×C4×C13—28no—
117C22×C4×C13—28no—
118C22×C4×C13—21no—
119C22×C4×C13—22no—
120C22×C4×C13—22no—
121C22×C4×C13—21no—
122C22×C4×C13—21no—
123C22×C4×C13—22no—
124C22×C4×C13—22no—
125C22×C4×C13—21no—
126C22×C4×C13—21no—
127C22×C4×C13—22no—
128C22×C4×C13—22no—
129C22×C4×C13—22no—
130C22×C4×C13—22no—
131C22×C4×C13—22no—
132C22×C4×C13—21no—
133C22×C4×C13—22no—
134C22×C4×C13—22no—
135C22×C4×C13—22no—
136C22×C4×C13—22no—
137C22×C4×C13—22no—
138C22×C4×C13—22no—
139C22×C4×C13—22no—
140C22×C4×C13—22no—
141C22×C4×C13—22no—
142C22×C4×C13—22no—
143C22×C4×C13—22no—
144C22×C4×C13—22no—
145C22×C4×C13—22no—
146C22×C4×C13—22no—
147C22×C4×C13—22no—
148C22×C4×C13—28no—
149C22×C4×C13—21no—
150C22×C4×C13—21no—
151C22×C4×C13—22no—
152C22×C4×C13—21no—
153C22×C4×C13—21no—
154C22×C4×C13—22no—
155C22×C4×C13—21no—
156C22×C4×C13—21no—
157C22×C4×C13—22no—
158C22×C4×C13—22no—
159C22×C4×C13—22no—
160C22×C4×C13—22no—
161C22×C4×C13—22no—
162C22×C4×C13—22no—
163C22×C4×C13—22no—
164C22×C4×C13—22no—
165C22×C4×C13—22no—
166C22×C4×C13—44no—
167C22×C4×C13—48no—
168C22×C4×C13—48no—
169C22×C4×C13—48no—
170C22×C4×C13—48no—
171C22×C4×C13—48no—
172C22×C4×C13—44no—
173C22×C4×C13—44no—
174C22×C4×C13—44no—
175C22×C4×C13—48no—
176C22×C4×C13—44no—
177C22×C4×C13C2×D412yes—
178C22×C4×C13C2×D414yes—
179C22×C4×C13C2×D412yes—
180C22×C4×C13C2×Q812yes—
181C22×C4×C13C2×Q812yes—
182C22×C4×C13C2×Q814yes—
183C22×C4×C13#4114yes—
184C22×C4×C13#4114yes—
185C13×C4⋊C4—48no—
186C13×C4⋊C4—48no—
187C13×C4⋊C4—44no—
188C13×C4⋊C4—44no—
189C13×C22⋊C4—28no—
190C13×C22⋊C4—28no—
191C13×C22⋊C4—44no—
192C13×C22⋊C4—44no—
193C2×#385C2×C1311yescharacteristic
194C2×#385C2×C1311yescharacteristic
195C2×#380C2×C1311yescharacteristic
196C22×#95C2×C1311yescharacteristic
197#1445C2×C1312yescomplemented
198#1442C2×C1312yescomplemented
199#1441C2×C1312yescomplemented
200#1441C2×C1312yescomplemented
201C22⋊#95C2×C1311yescharacteristic
202C22⋊#95C2×C1311yescharacteristic
203C22⋊#95C2×C1311yescharacteristic
204C23×C13—22no—
205C23×C13—22no—
206C23×C13—24no—
207C23×C13—24no—
208C23×C13—22no—
209C23×C13—22no—
210C23×C13—24no—
211C23×C13—24no—
212C23×C13—24no—
213C23×C13—24no—
214C23×C13—24no—
215C23×C13—24no—
216C23×C13—24no—
217C23×C13—24no—
218C23×C13—24no—
219C23×C13—24no—
220C23×C13#12114yes—
221C23×C13C22⋊Q814yes—
222C23×C13C22⋊Q814yes—
223C23×C13#12314yes—
224C23×C13#12514yes—
225C23×C13#12514yes—
226C23×C13C4⋊Q814yes—
227C23×C13C22×D411yescharacteristic
228C23×C13C22×D411yescharacteristic
229C23×C13C22×Q811yescharacteristic
230C23×C13C22×Q811yescharacteristic
231C23×C13C2×#4111yescharacteristic
232C23×C13C2×#4111yescharacteristic
233C23×C13C2×#4111yescharacteristic
234C23×C13C2×#4112yes—
235C23×C13C2×#4112yes—
236C23×C13H(5,𝔽2)12yes—
237C23×C13H(5,𝔽2)12yes—
238C2×C4×C13—22no—
239C2×C4×C13—22no—
240C2×C4×C13—24no—
241C2×C4×C13—24no—
242C2×C4×C13—22no—
243C2×C4×C13—22no—
244C2×C4×C13—22no—
245C2×C4×C13—24no—
246C2×C4×C13—24no—
247C2×C4×C13—22no—
248C2×C4×C13—24no—
249C2×C4×C13—22no—
250C2×C4×C13—24no—
251C2×C4×C13—24no—
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—416no—
259C2×C4×C13—416no—
260C2×C4×C13—416no—
261C2×C4×C13—42no—
262C2×C4×C13—41no—
263C2×C4×C13—41no—
264C2×C4×C13—42no—
265C2×C4×C13—41no—
266C2×C4×C13—42no—
267C2×C4×C13—41no—
268C2×C4×C13—42no—
269C2×C4×C13—42no—
270C2×C4×C13—42no—
271C2×C4×C13—42no—
272C2×C4×C13—42no—
273C2×C4×C13—42no—
274C2×C4×C13—42no—
275C2×C4×C13—42no—
276C2×C4×C13—42no—
277C2×C4×C13—42no—
278C2×C4×C13—42no—
279C2×C4×C13—42no—
280C2×C4×C13—42no—
281C2×C4×C13—41no—
282C2×C4×C13—41no—
283C2×C4×C13—42no—
284C2×C4×C13—41no—
285C2×C4×C13—41no—
286C2×C4×C13—42no—
287C2×C4×C13—41no—
288C2×C4×C13—41no—
289C2×C4×C13—42no—
290C2×C4×C13—42no—
291C2×C4×C13—42no—
292C2×C4×C13—42no—
293C2×C4×C13—42no—
294C2×C4×C13—42no—
295C2×C4×C13—42no—
296C2×C4×C13—42no—
297C2×C4×C13—42no—
298C2×C4×C13#12314yes—
299C24×C4C22×C1311yescharacteristic
300C24×C4C22×C1311yescharacteristic
301C24×C4C22×C1311yescharacteristic
302C22×C4⋊C4C22×C1311yescharacteristic
303C22×C4⋊C4C22×C1312yes—
304C22×C4⋊C4C22×C1312yes—
305C22×C4⋊C4C22×C1311yescharacteristic
306C22×C22⋊C4C22×C1311yescharacteristic
307C22×C22⋊C4C22×C1311yescharacteristic
308C22×C22⋊C4C22×C1311yescharacteristic
309C22×C22⋊C4C22×C1311yescharacteristic
310#385—24no—
311#385—24no—
312#380—24no—
313C2×#95—24no—
314C2×#95C22×C1312yes—
315C2×#95C22×C1312yes—
316C2×#95C22×C1311yescharacteristic
317C2×#95C22×C1312yes—
318C2×#95C22×C1312yes—
319C2×#95C22×C1312yes—
320C2×#95C22×C1311yescharacteristic
321C2×#95C22×C1312yes—
322C2×#95C22×C1312yes—
323C2×#95C22×C1312yes—
324C2×#95C22×C1312yes—
325C2×#95C22×C1312yes—
326C22×C13—28no—
327C22×C13—24no—
328C22×C13—24no—
329C22×C13—24no—
330C22×C13—24no—
331C22×C13—24no—
332C22×C13—28no—
333C22×C13—24no—
334C22×C13—28no—
335C22×C13—28no—
336C22×C13#39818yes—
337C22×C13C2×#12111yescharacteristic
338C22×C13C2×C22⋊Q811yescharacteristic
339C22×C13C2×C22⋊Q811yescharacteristic
340C22×C13C2×#12311yescharacteristic
341C22×C13C2×#12311yescharacteristic
342C22×C13#52511yescharacteristic
343C22×C13C2×#12511yescharacteristic
344C22×C13C2×#12511yescharacteristic
345C22×C13#52912yes—
346C22×C13C2×C4⋊Q811yescharacteristic
347C22×C13#53312yes—
348C22×C13#53411yescharacteristic
349C22×C13#53511yescharacteristic
350C22×C13#53812yes—
351C22×C13#54312yes—
352C22×C13#54612yes—
353C22×C13#54612yes—
354C22×C13#55112yes—
355C22×C13#55112yes—
356C22×C13#55312yes—
357C22×C13#55312yes—
358C22×C13#55412yes—
359C22×C13#55412yes—
360C4×C13—24no—
361C4×C13—42no—
362C4×C13—44no—
363C4×C13—44no—
364C4×C13—42no—
365C4×C13—44no—
366C4×C13—42no—
367C4×C13—81no—
368C4×C13—81no—
369C4×C13—82no—
370C25C23×C1311yescharacteristic
371C23×C4—22no—
372C23×C4—22no—
373C23×C4—22no—
374C23×C4—22no—
375C23×C4—22no—
376C23×C4—24no—
377C23×C4—24no—
378C23×C4—22no—
379C23×C4—22no—
380C23×C4—42no—
381C23×C4—42no—
382C23×C4—42no—
383C23×C4—42no—
384C23×C4D4×C1314yes—
385C23×C4Q8×C1314yes—
386C23×C4C23×C1311yescharacteristic
387C23×C4C23×C1311yescharacteristic
388C23×C4C23×C1312yes—
389C23×C4C23×C1312yes—
390C23×C4C23×C1311yescharacteristic
391C23×C4C23×C1311yescharacteristic
392C23×C4C23×C1311yescharacteristic
393C23×C4C23×C1312yes—
394C23×C4C23×C1312yes—
395C23×C4C23×C1311yescharacteristic
396C2×C4⋊C4—24no—
397C2×C4⋊C4—24no—
398C2×C4⋊C4—22no—
399C2×C4⋊C4—22no—
400C2×C4⋊C4—24no—
401C2×C4⋊C4—24no—
402C2×C4⋊C4—24no—
403C2×C4⋊C4—42no—
404C2×C4⋊C4—42no—
405C2×C4⋊C4—42no—
406C2×C22⋊C4—22no—
407C2×C22⋊C4—22no—
408C2×C22⋊C4—22no—
409C2×C22⋊C4—22no—
410C2×C22⋊C4—22no—
411C2×C22⋊C4—22no—
412C2×C22⋊C4—22no—
413C2×C22⋊C4—22no—
414C2×C22⋊C4—22no—
415C2×C22⋊C4—22no—
416C2×C22⋊C4D4×C1314yes—
417C2×C22⋊C4Q8×C1314yes—
418#95—24no—
419#95—24no—
420#95—24no—
421#95—22no—
422#95—22no—
423#95—24no—
424#95—24no—
425#95—42no—
426#95—42no—
427#95—42no—
428#95—42no—
429#95—42no—
430C2×C13—28no—
431C2×C13C2×#39811yescharacteristic
432C2×C13#241111yescharacteristic
433C2×C13#241211yescharacteristic
434C2×C13#244412yes—
435C2×C13#248711yescharacteristic
436C2×C13#250512yes—
437C2×C13#254912yes—
438C2×C13#256912yes—
439C2×C13#257911yescharacteristic
440C2×C13#262611yescharacteristic
441C2×C13#285511yescharacteristic
442C24—22no—
443C24—22no—
444C24—22no—
445C24—22no—
446C24C2×D4×C1312yes—
447C24C2×D4×C1312yes—
448C24C2×Q8×C1312yes—
449C24C2×Q8×C1312yes—
450C24C13×#4112yes—
451C24C13×#4112yes—
452C24C13×#4112yes—
453C24C24×C1311yescharacteristic
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—22no—
457C22×C4—28no—
458C22×C4—28no—
459C22×C4—28no—
460C22×C4—21no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
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—22no—
490C22×C4—28no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—22no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—22no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—44no—
509C22×C4—48no—
510C22×C4—48no—
511C22×C4—48no—
512C22×C4—48no—
513C22×C4—48no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—48no—
518C22×C4—44no—
519C22×C4C2×D4×C1312yes—
520C22×C4C2×D4×C1314yes—
521C22×C4C2×D4×C1312yes—
522C22×C4C2×Q8×C1312yes—
523C22×C4C2×Q8×C1312yes—
524C22×C4C2×Q8×C1314yes—
525C22×C4C13×#4114yes—
526C22×C4C13×#4114yes—
527C4⋊C4—48no—
528C4⋊C4—48no—
529C4⋊C4—44no—
530C4⋊C4—44no—
531C22⋊C4—28no—
532C22⋊C4—28no—
533C22⋊C4—44no—
534C22⋊C4—44no—
535C13#1492011yescharacteristic, direct product factor, Sylow
536C23—22no—
537C23—22no—
538C23—24no—
539C23—24no—
540C23—22no—
541C23—22no—
542C23—24no—
543C23—24no—
544C23—24no—
545C23—24no—
546C23—24no—
547C23—24no—
548C23—24no—
549C23—24no—
550C23—24no—
551C23—24no—
552C23C13×#12114yes—
553C23C13×C22⋊Q814yes—
554C23C13×C22⋊Q814yes—
555C23C13×#12314yes—
556C23C13×#12514yes—
557C23C13×#12514yes—
558C23C13×C4⋊Q814yes—
559C23C22×D4×C1311yescharacteristic
560C23C22×D4×C1311yescharacteristic
561C23C22×Q8×C1311yescharacteristic
562C23C22×Q8×C1311yescharacteristic
563C23C2×C13×#4111yescharacteristic
564C23C2×C13×#4111yescharacteristic
565C23C2×C13×#4111yescharacteristic
566C23C2×C13×#4112yes—
567C23C2×C13×#4112yes—
568C23C13×H(5,𝔽2)12yes—
569C23C13×H(5,𝔽2)12yes—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—24no—
573C2×C4—24no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—24no—
578C2×C4—24no—
579C2×C4—22no—
580C2×C4—24no—
581C2×C4—22no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—416no—
591C2×C4—416no—
592C2×C4—416no—
593C2×C4—42no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—42no—
597C2×C4—41no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—41no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—42no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—42no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4C13×#12314yes—
631C22—28no—
632C22—28no—
633C22—28no—
634C22—24no—
635C22—24no—
636C22—24no—
637C22—24no—
638C22—24no—
639C22—28no—
640C22—24no—
641C22C13×#39818yes—
642C22C2×C13×#12111yescharacteristic
643C22C2×C13×C22⋊Q811yescharacteristic
644C22C2×C13×C22⋊Q811yescharacteristic
645C22C2×C13×#12311yescharacteristic
646C22C2×C13×#12311yescharacteristic
647C22C13×#52511yescharacteristic
648C22C2×C13×#12511yescharacteristic
649C22C2×C13×#12511yescharacteristic
650C22C13×#52912yes—
651C22C2×C13×C4⋊Q811yescharacteristic
652C22C13×#53312yes—
653C22C13×#53411yescharacteristic
654C22C13×#53511yescharacteristic
655C22C13×#53812yes—
656C22C13×#54312yes—
657C22C13×#54612yes—
658C22C13×#54612yes—
659C22C13×#55112yes—
660C22C13×#55112yes—
661C22C13×#55312yes—
662C22C13×#55312yes—
663C22C13×#55412yes—
664C22C13×#55412yes—
665C4—24no—
666C4—42no—
667C4—44no—
668C4—44no—
669C4—42no—
670C4—44no—
671C4—42no—
672C4—81no—
673C4—81no—
674C4—82no—
675C2—28no—
676C2C2×C13×#39811yescharacteristic
677C2C13×#241111yescharacteristic
678C2C13×#241211yescharacteristic
679C2C13×#244412yes—
680C2C13×#248711yescharacteristic
681C2C13×#250512yes—
682C2C13×#254912yes—
683C2C13×#256912yes—
684C2C13×#257911yescharacteristic
685C2C13×#262611yescharacteristic
686C2C13×#285511yescharacteristic
subgroupG/H
center, socleC24×C13C24
commutator, Frattini, cosocleC24C24×C13
prime radicalC25×C13C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C13 ◁ G

Complements

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

NH ≅ G/Ntype
5. C13×#1445C2semidirect
6. C13×#1442C2semidirect
7. C13×#1441C2semidirect
8. C13×#1441C2semidirect
99. #14920C13direct (N × H)
197. #1445C2×C13semidirect
198. #1442C2×C13semidirect
199. #1441C2×C13semidirect
200. #1441C2×C13semidirect
535. C13#14920direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C13×#3852
C2×C13×#3802
C22×C13×#952
C13×#14452
C13×#14422
C13×#14412
C13×C22⋊#952
#1492013