Finite Group Databasebeta

← C13×#14265 #15700604

Subgroups — C13×#14265 #15700604

Order 3328.

1782 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C13×#385C211yesmaximal, characteristic
2C2×C13×#385C211yesmaximal, characteristic
3C22×C13×#95C211yesmaximal, characteristic
4C13×#1445C212yesmaximal, complemented
5C13×#1443C212yesmaximal, complemented
6C13×#1442C212yesmaximal, complemented
7C13×#1441C212yesmaximal, complemented
8C13×C22⋊#95C211yesmaximal, characteristic
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⋊C4C2211yescharacteristic
17C22×C13×C4⋊C4C2212yes—
18C22×C13×C22⋊C4C2211yescharacteristic
19C22×C13×C22⋊C4C2211yescharacteristic
20C22×C13×C22⋊C4C2211yescharacteristic
21C22×C13×C22⋊C4C2211yescharacteristic
22C13×#385—24no—
23C13×#385C418yescomplemented
24C2×C13×#95—24no—
25C2×C13×#95C2212yes—
26C2×C13×#95C2212yes—
27C2×C13×#95C2211yescharacteristic
28C2×C13×#95C2211yescharacteristic
29C2×C13×#95C2212yes—
30C2×C13×#95C2212yes—
31C2×C13×#95C2212yes—
32C2×C13×#95C2212yes—
33C2×C13×#95C2212yes—
34C2×C13×#95C2212yes—
35C2×C13×#95C2212yes—
36C2×C13×#95C2212yes—
37C2×C13×#95C2212yes—
38C25×C13C2311yescharacteristic
39C23×C4×C13—22no—
40C23×C4×C13—22no—
41C23×C4×C13—22no—
42C23×C4×C13—22no—
43C23×C4×C13—22no—
44C23×C4×C13—22no—
45C23×C4×C13—42no—
46C23×C4×C13—42no—
47C23×C4×C13—42no—
48C23×C4×C13—42no—
49C23×C4×C13—42no—
50C23×C4×C13—42no—
51C23×C4×C13C2×C414yes—
52C23×C4×C13D414yes—
53C23×C4×C13Q814yes—
54C23×C4×C13C2311yescharacteristic
55C23×C4×C13C2311yescharacteristic
56C23×C4×C13C2312yes—
57C23×C4×C13C2311yescharacteristic
58C23×C4×C13C2311yescharacteristic
59C23×C4×C13C2312yes—
60C23×C4×C13C2312yes—
61C23×C4×C13C2311yescharacteristic
62C23×C4×C13C2311yescharacteristic
63C23×C4×C13C2312yes—
64C2×C13×C4⋊C4—22no—
65C2×C13×C4⋊C4—22no—
66C2×C13×C4⋊C4—42no—
67C2×C13×C4⋊C4—42no—
68C2×C13×C4⋊C4—42no—
69C2×C13×C4⋊C4—42no—
70C2×C13×C4⋊C4C2×C418yescomplemented
71C2×C13×C22⋊C4—22no—
72C2×C13×C22⋊C4—22no—
73C2×C13×C22⋊C4—22no—
74C2×C13×C22⋊C4—22no—
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⋊C4C2×C414yes—
82C2×C13×C22⋊C4C2×C414yes—
83C13×#95—22no—
84C13×#95—22no—
85C13×#95—24no—
86C13×#95—24no—
87C13×#95—42no—
88C13×#95—42no—
89C13×#95—42no—
90C13×#95—42no—
91C13×#95—42no—
92C13×#95—42no—
93C13×#95—42no—
94C13×#95—42no—
95C13×#95C2×C418yescomplemented
96#14265C1311yesmaximal, characteristic, direct product factor, Sylow
97C24×C13—22no—
98C24×C13—22no—
99C24×C13—22no—
100C24×C13—22no—
101C24×C13C22×C412yes—
102C24×C13C2×D412yes—
103C24×C13C2×Q812yes—
104C24×C13#4112yes—
105C24×C13#4112yes—
106C24×C13#4112yes—
107C24×C13#4112yes—
108C24×C13C2411yescharacteristic
109C22×C4×C13—28no—
110C22×C4×C13—28no—
111C22×C4×C13—28no—
112C22×C4×C13—22no—
113C22×C4×C13—22no—
114C22×C4×C13—21no—
115C22×C4×C13—21no—
116C22×C4×C13—22no—
117C22×C4×C13—22no—
118C22×C4×C13—21no—
119C22×C4×C13—21no—
120C22×C4×C13—22no—
121C22×C4×C13—22no—
122C22×C4×C13—21no—
123C22×C4×C13—21no—
124C22×C4×C13—21no—
125C22×C4×C13—21no—
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—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—21no—
147C22×C4×C13—21no—
148C22×C4×C13—21no—
149C22×C4×C13—21no—
150C22×C4×C13—21no—
151C22×C4×C13—21no—
152C22×C4×C13—22no—
153C22×C4×C13—22no—
154C22×C4×C13—22no—
155C22×C4×C13—22no—
156C22×C4×C13—22no—
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—48no—
164C22×C4×C13—44no—
165C22×C4×C13—44no—
166C22×C4×C13—48no—
167C22×C4×C13—44no—
168C22×C4×C13—44no—
169C22×C4×C13—44no—
170C22×C4×C13—44no—
171C22×C4×C13—48no—
172C22×C4×C13—48no—
173C22×C4×C13—48no—
174C22×C4×C13—48no—
175C22×C4×C13C22×C412yes—
176C22×C4×C13C22×C414yes—
177C22×C4×C13C22×C414yes—
178C22×C4×C13C22×C412yes—
179C22×C4×C13C2×D412yes—
180C22×C4×C13C2×D412yes—
181C22×C4×C13C2×Q814yes—
182C13×C4⋊C4—48no—
183C13×C4⋊C4—44no—
184C13×C4⋊C4—44no—
185C13×C22⋊C4—28no—
186C13×C22⋊C4—28no—
187C13×C22⋊C4—44no—
188C13×C22⋊C4—44no—
189C2×#385C2×C1311yescharacteristic
190C2×#385C2×C1311yescharacteristic
191C22×#95C2×C1311yescharacteristic
192#1445C2×C1312yescomplemented
193#1443C2×C1312yescomplemented
194#1442C2×C1312yescomplemented
195#1441C2×C1312yescomplemented
196C22⋊#95C2×C1311yescharacteristic
197C22⋊#95C2×C1311yescharacteristic
198C22⋊#95C2×C1311yescharacteristic
199C22⋊#95C2×C1311yescharacteristic
200C23×C13—24no—
201C23×C13—24no—
202C23×C13—22no—
203C23×C13—22no—
204C23×C13—22no—
205C23×C13—22no—
206C23×C13—24no—
207C23×C13—24no—
208C23×C13—24no—
209C23×C13—24no—
210C23×C13—24no—
211C23×C13—24no—
212C23×C13—24no—
213C23×C13—24no—
214C23×C13—24no—
215C23×C13—24no—
216C23×C13#11714yes—
217C23×C13C4×D414yes—
218C23×C13C4×Q814yes—
219C23×C13C22⋊Q814yes—
220C23×C13#12314yes—
221C23×C13#12514yes—
222C23×C13#12614yes—
223C23×C13C23×C411yescharacteristic
224C23×C13C22×D411yescharacteristic
225C23×C13C22×Q811yescharacteristic
226C23×C13C2×#4111yescharacteristic
227C23×C13C2×#4111yescharacteristic
228C23×C13C2×#4111yescharacteristic
229C23×C13C2×#4111yescharacteristic
230C23×C13H(5,𝔽2)12yes—
231C23×C13H(5,𝔽2)12yes—
232C23×C13H(5,𝔽2)12yes—
233C23×C132−1+412yes—
234C2×C4×C13—24no—
235C2×C4×C13—22no—
236C2×C4×C13—22no—
237C2×C4×C13—24no—
238C2×C4×C13—24no—
239C2×C4×C13—24no—
240C2×C4×C13—24no—
241C2×C4×C13—24no—
242C2×C4×C13—24no—
243C2×C4×C13—24no—
244C2×C4×C13—24no—
245C2×C4×C13—22no—
246C2×C4×C13—22no—
247C2×C4×C13—22no—
248C2×C4×C13—22no—
249C2×C4×C13—22no—
250C2×C4×C13—22no—
251C2×C4×C13—24no—
252C2×C4×C13—24no—
253C2×C4×C13—416no—
254C2×C4×C13—416no—
255C2×C4×C13—416no—
256C2×C4×C13—41no—
257C2×C4×C13—41no—
258C2×C4×C13—42no—
259C2×C4×C13—42no—
260C2×C4×C13—41no—
261C2×C4×C13—42no—
262C2×C4×C13—42no—
263C2×C4×C13—41no—
264C2×C4×C13—42no—
265C2×C4×C13—42no—
266C2×C4×C13—42no—
267C2×C4×C13—42no—
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—41no—
279C2×C4×C13—41no—
280C2×C4×C13—42no—
281C2×C4×C13—41no—
282C2×C4×C13—41no—
283C2×C4×C13—41no—
284C2×C4×C13—41no—
285C2×C4×C13—42no—
286C2×C4×C13—42no—
287C2×C4×C13—42no—
288C2×C4×C13—42no—
289C2×C4×C13—42no—
290C2×C4×C13—42no—
291C2×C4×C13—42no—
292C2×C4×C13—42no—
293C2×C4×C13—42no—
294C2×C4×C13—42no—
295C24×C4C22×C1311yescharacteristic
296C24×C4C22×C1311yescharacteristic
297C24×C4C22×C1311yescharacteristic
298C22×C4⋊C4C22×C1311yescharacteristic
299C22×C4⋊C4C22×C1311yescharacteristic
300C22×C4⋊C4C22×C1312yes—
301C22×C22⋊C4C22×C1311yescharacteristic
302C22×C22⋊C4C22×C1311yescharacteristic
303C22×C22⋊C4C22×C1311yescharacteristic
304C22×C22⋊C4C22×C1311yescharacteristic
305#385—24no—
306#385C4×C1318yescomplemented
307C2×#95—24no—
308C2×#95C22×C1312yes—
309C2×#95C22×C1312yes—
310C2×#95C22×C1311yescharacteristic
311C2×#95C22×C1311yescharacteristic
312C2×#95C22×C1312yes—
313C2×#95C22×C1312yes—
314C2×#95C22×C1312yes—
315C2×#95C22×C1312yes—
316C2×#95C22×C1312yes—
317C2×#95C22×C1312yes—
318C2×#95C22×C1312yes—
319C2×#95C22×C1312yes—
320C2×#95C22×C1312yes—
321C22×C13—28no—
322C22×C13—24no—
323C22×C13—24no—
324C22×C13—28no—
325C22×C13—24no—
326C22×C13—24no—
327C22×C13—24no—
328C22×C13—24no—
329C22×C13—28no—
330C22×C13—28no—
331C22×C13#38718yes—
332C22×C13C2×#11711yescharacteristic
333C22×C13C2×C4×D411yescharacteristic
334C22×C13C2×C4×Q811yescharacteristic
335C22×C13#51812yes—
336C22×C13#52012yes—
337C22×C13C2×C22⋊Q811yescharacteristic
338C22×C13C2×#12311yescharacteristic
339C22×C13C2×#12511yescharacteristic
340C22×C13C2×#12611yescharacteristic
341C22×C13#53411yescharacteristic
342C22×C13#53411yescharacteristic
343C22×C13#53511yescharacteristic
344C22×C13#53611yescharacteristic
345C22×C13#53812yes—
346C22×C13#53812yes—
347C22×C13#53812yes—
348C22×C13#53812yes—
349C22×C13#53912yes—
350C22×C13#53912yes—
351C22×C13#53912yes—
352C22×C13#53912yes—
353C22×C13#54312yes—
354C22×C13#54412yes—
355C4×C13—44no—
356C4×C13—42no—
357C4×C13—44no—
358C4×C13—42no—
359C4×C13—42no—
360C4×C13—42no—
361C4×C13—44no—
362C4×C13—81no—
363C4×C13—81no—
364C4×C13—82no—
365C25C23×C1311yescharacteristic
366C23×C4—22no—
367C23×C4—22no—
368C23×C4—22no—
369C23×C4—22no—
370C23×C4—22no—
371C23×C4—22no—
372C23×C4—42no—
373C23×C4—42no—
374C23×C4—42no—
375C23×C4—42no—
376C23×C4—42no—
377C23×C4—42no—
378C23×C4C2×C4×C1314yes—
379C23×C4D4×C1314yes—
380C23×C4Q8×C1314yes—
381C23×C4C23×C1311yescharacteristic
382C23×C4C23×C1311yescharacteristic
383C23×C4C23×C1312yes—
384C23×C4C23×C1311yescharacteristic
385C23×C4C23×C1311yescharacteristic
386C23×C4C23×C1312yes—
387C23×C4C23×C1312yes—
388C23×C4C23×C1311yescharacteristic
389C23×C4C23×C1311yescharacteristic
390C23×C4C23×C1312yes—
391C2×C4⋊C4—22no—
392C2×C4⋊C4—22no—
393C2×C4⋊C4—42no—
394C2×C4⋊C4—42no—
395C2×C4⋊C4—42no—
396C2×C4⋊C4—42no—
397C2×C4⋊C4C2×C4×C1318yescomplemented
398C2×C22⋊C4—22no—
399C2×C22⋊C4—22no—
400C2×C22⋊C4—22no—
401C2×C22⋊C4—22no—
402C2×C22⋊C4—22no—
403C2×C22⋊C4—22no—
404C2×C22⋊C4—22no—
405C2×C22⋊C4—22no—
406C2×C22⋊C4—22no—
407C2×C22⋊C4—22no—
408C2×C22⋊C4C2×C4×C1314yes—
409C2×C22⋊C4C2×C4×C1314yes—
410#95—24no—
411#95—24no—
412#95—22no—
413#95—22no—
414#95—42no—
415#95—42no—
416#95—42no—
417#95—42no—
418#95—42no—
419#95—42no—
420#95—42no—
421#95—42no—
422#95C2×C4×C1318yescomplemented
423C2×C13—28no—
424C2×C13C2×#38711yescharacteristic
425C2×C13#231812yes—
426C2×C13#232111yescharacteristic
427C2×C13#232211yescharacteristic
428C2×C13#232912yes—
429C2×C13#262211yescharacteristic
430C2×C13#262311yescharacteristic
431C2×C13#262611yescharacteristic
432C2×C13#262711yescharacteristic
433C2×C13#264312yes—
434C2×C13#264612yes—
435C24—22no—
436C24—22no—
437C24—22no—
438C24—22no—
439C24C22×C4×C1312yes—
440C24C2×D4×C1312yes—
441C24C2×Q8×C1312yes—
442C24C13×#4112yes—
443C24C13×#4112yes—
444C24C13×#4112yes—
445C24C13×#4112yes—
446C24C24×C1311yescharacteristic
447C22×C4—28no—
448C22×C4—28no—
449C22×C4—28no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
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—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—48no—
502C22×C4—44no—
503C22×C4—44no—
504C22×C4—48no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—48no—
510C22×C4—48no—
511C22×C4—48no—
512C22×C4—48no—
513C22×C4C22×C4×C1312yes—
514C22×C4C22×C4×C1314yes—
515C22×C4C22×C4×C1314yes—
516C22×C4C22×C4×C1312yes—
517C22×C4C2×D4×C1312yes—
518C22×C4C2×D4×C1312yes—
519C22×C4C2×Q8×C1314yes—
520C4⋊C4—48no—
521C4⋊C4—44no—
522C4⋊C4—44no—
523C22⋊C4—28no—
524C22⋊C4—28no—
525C22⋊C4—44no—
526C22⋊C4—44no—
527C13#1426511yescharacteristic, direct product factor, Sylow
528C23—24no—
529C23—24no—
530C23—22no—
531C23—22no—
532C23—22no—
533C23—22no—
534C23—24no—
535C23—24no—
536C23—24no—
537C23—24no—
538C23—24no—
539C23—24no—
540C23—24no—
541C23—24no—
542C23—24no—
543C23—24no—
544C23C13×#11714yes—
545C23C4×D4×C1314yes—
546C23C4×Q8×C1314yes—
547C23C13×C22⋊Q814yes—
548C23C13×#12314yes—
549C23C13×#12514yes—
550C23C13×#12614yes—
551C23C23×C4×C1311yescharacteristic
552C23C22×D4×C1311yescharacteristic
553C23C22×Q8×C1311yescharacteristic
554C23C2×C13×#4111yescharacteristic
555C23C2×C13×#4111yescharacteristic
556C23C2×C13×#4111yescharacteristic
557C23C2×C13×#4111yescharacteristic
558C23C13×H(5,𝔽2)12yes—
559C23C13×H(5,𝔽2)12yes—
560C23C13×H(5,𝔽2)12yes—
561C23C13×2−1+412yes—
562C2×C4—24no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—24no—
566C2×C4—24no—
567C2×C4—24no—
568C2×C4—24no—
569C2×C4—24no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—24no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—416no—
582C2×C4—416no—
583C2×C4—416no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—42no—
587C2×C4—42no—
588C2×C4—42no—
589C2×C4—42no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—42no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—42no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C22—28no—
624C22—24no—
625C22—24no—
626C22—28no—
627C22—24no—
628C22—24no—
629C22—24no—
630C22—24no—
631C22—28no—
632C22—28no—
633C22C13×#38718yes—
634C22C2×C13×#11711yescharacteristic
635C22C2×C4×D4×C1311yescharacteristic
636C22C2×C4×Q8×C1311yescharacteristic
637C22C13×#51812yes—
638C22C13×#52012yes—
639C22C2×C13×C22⋊Q811yescharacteristic
640C22C2×C13×#12311yescharacteristic
641C22C2×C13×#12511yescharacteristic
642C22C2×C13×#12611yescharacteristic
643C22C13×#53411yescharacteristic
644C22C13×#53411yescharacteristic
645C22C13×#53511yescharacteristic
646C22C13×#53611yescharacteristic
647C22C13×#53812yes—
648C22C13×#53812yes—
649C22C13×#53812yes—
650C22C13×#53812yes—
651C22C13×#53912yes—
652C22C13×#53912yes—
653C22C13×#53912yes—
654C22C13×#53912yes—
655C22C13×#54312yes—
656C22C13×#54412yes—
657C4—44no—
658C4—42no—
659C4—44no—
660C4—42no—
661C4—42no—
662C4—42no—
663C4—44no—
664C4—81no—
665C4—81no—
666C4—82no—
667C2—28no—
668C2C2×C13×#38711yescharacteristic
669C2C13×#231812yes—
670C2C13×#232111yescharacteristic
671C2C13×#232211yescharacteristic
672C2C13×#232912yes—
673C2C13×#262211yescharacteristic
674C2C13×#262311yescharacteristic
675C2C13×#262611yescharacteristic
676C2C13×#262711yescharacteristic
677C2C13×#264312yes—
678C2C13×#264612yes—
subgroupG/H
center, socleC24×C13C24
commutatorC23C23×C4×C13
Frattini, cosocleC24C24×C13
prime radicalC25×C13C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C13 ◁ G

Complements

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

NH ≅ G/Ntype
4. C13×#1445C2semidirect
5. C13×#1443C2semidirect
6. C13×#1442C2semidirect
7. C13×#1441C2semidirect
23. C13×#385C4semidirect
70. C2×C13×C4⋊C4C2×C4semidirect
95. C13×#95C2×C4semidirect
96. #14265C13direct (N × H)
192. #1445C2×C13semidirect
193. #1443C2×C13semidirect
194. #1442C2×C13semidirect
195. #1441C2×C13semidirect
306. #385C4×C13semidirect
397. C2×C4⋊C4C2×C4×C13semidirect
422. #95C2×C4×C13semidirect
527. C13#14265direct (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
C22×C13×#952
C13×#14452
C13×#14432
C13×#14422
C13×#14412
C13×C22⋊#952
#1426513