Finite Group Databasebeta

← C13×#14870 #15701209

Subgroups — C13×#14870 #15701209

Order 3328.

1638 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C13×#399C211yesmaximal, characteristic
2C2×C13×#398C212yesmaximal, complemented
3C2×C13×#396C212yesmaximal
4C2×C13×#389C211yesmaximal, characteristic, complemented
5C2×C13×#388C211yesmaximal, characteristic
6C2×C4×C13×C4⋊C4C211yesmaximal, characteristic, complemented
7C13×#1445C211yesmaximal, characteristic, complemented
8C13×#1444C211yesmaximal, characteristic, complemented
9C13×#1439C211yesmaximal, characteristic
10C13×#1437C212yesmaximal
11C13×C4⋊#95C212yesmaximal, complemented
12C22×C13×C4⋊C4C2211yescharacteristic
13C22×C13×C4⋊C4C2212yes—
14C22×C13×C4⋊C4C2211yescharacteristic
15C22×C13×C4⋊C4C2211yescharacteristic
16C22×C13×C4⋊C4C2212yes—
17C22×C13×C4⋊C4C2212yes—
18C22×C13×C4⋊C4C2212yes—
19C22×C13×C22⋊C4C2211yescharacteristic
20C22×C13×C22⋊C4C2211yescharacteristic
21C22×C13×C22⋊C4C2212yes—
22C22×C13×C22⋊C4C2212yes—
23C22×C13×C22⋊C4C2211yescharacteristic
24C22×C42×C13C2212yes—
25C22×C42×C13C2211yescharacteristic
26C13×#399—24no—
27C13×#398—28no—
28C13×#396—28no—
29C13×#389—24no—
30C13×#388—24no—
31C4×C13×C4⋊C4—24no—
32C2×C13×#95C2211yescharacteristic
33C2×C13×#95C2211yescharacteristic
34C2×C13×#95C2211yescharacteristic
35C2×C13×#95C2212yes—
36C2×C13×#95C2212yes—
37C2×C13×#95C2212yes—
38C2×C13×#95C2212yes—
39C2×C13×#95C2212yes—
40C2×C13×#95C2211yescharacteristic
41C25×C13C2311yescharacteristic
42C23×C4×C13C2311yescharacteristic
43C23×C4×C13C2312yes—
44C23×C4×C13C2311yescharacteristic
45C23×C4×C13C2312yes—
46C23×C4×C13C2311yescharacteristic
47C23×C4×C13C2312yes—
48C23×C4×C13C2311yescharacteristic
49C23×C4×C13C2312yes—
50C23×C4×C13C2311yescharacteristic
51C23×C4×C13C2311yescharacteristic
52C2×C13×C4⋊C4—24no—
53C2×C13×C4⋊C4—22no—
54C2×C13×C4⋊C4—24no—
55C2×C13×C4⋊C4—24no—
56C2×C13×C4⋊C4—22no—
57C2×C13×C4⋊C4—22no—
58C2×C13×C4⋊C4—24no—
59C2×C13×C4⋊C4—24no—
60C2×C13×C4⋊C4—24no—
61C2×C13×C4⋊C4—24no—
62C2×C13×C4⋊C4—24no—
63C2×C13×C4⋊C4—24no—
64C2×C13×C4⋊C4—22no—
65C2×C13×C4⋊C4—24no—
66C2×C13×C4⋊C4—24no—
67C2×C13×C4⋊C4—22no—
68C2×C13×C4⋊C4—24no—
69C2×C13×C4⋊C4—42no—
70C2×C13×C4⋊C4D418yes—
71C2×C13×C22⋊C4—22no—
72C2×C13×C22⋊C4—22no—
73C2×C13×C22⋊C4—22no—
74C2×C13×C22⋊C4—22no—
75C2×C13×C22⋊C4—24no—
76C2×C13×C22⋊C4—24no—
77C2×C13×C22⋊C4—24no—
78C2×C13×C22⋊C4—22no—
79C2×C13×C22⋊C4—24no—
80C2×C13×C22⋊C4—24no—
81C2×C13×C22⋊C4—22no—
82C2×C13×C22⋊C4—24no—
83C2×C13×C22⋊C4—42no—
84C2×C13×C22⋊C4Q814yes—
85C2×C42×C13—22no—
86C2×C42×C13—22no—
87C2×C42×C13—24no—
88C2×C42×C13—24no—
89C2×C42×C13—42no—
90C2×C42×C13D414yes—
91C13×#95—22no—
92C13×#95—22no—
93C13×#95—22no—
94C13×#95—24no—
95C13×#95—24no—
96C13×#95—24no—
97C13×#95—24no—
98C13×#95—24no—
99C13×#95D414yes—
100#14870C1311yesmaximal, characteristic, direct product factor, Sylow
101C24×C13—21no—
102C24×C13—21no—
103C24×C13—22no—
104C24×C13—21no—
105C24×C13—22no—
106C24×C13—22no—
107C24×C13—21no—
108C24×C13—21no—
109C24×C13—22no—
110C24×C13—21no—
111C24×C13C2×Q812yes—
112C24×C13C2411yescharacteristic
113C22×C4×C13—21no—
114C22×C4×C13—21no—
115C22×C4×C13—21no—
116C22×C4×C13—21no—
117C22×C4×C13—22no—
118C22×C4×C13—22no—
119C22×C4×C13—22no—
120C22×C4×C13—22no—
121C22×C4×C13—21no—
122C22×C4×C13—22no—
123C22×C4×C13—22no—
124C22×C4×C13—21no—
125C22×C4×C13—22no—
126C22×C4×C13—22no—
127C22×C4×C13—22no—
128C22×C4×C13—22no—
129C22×C4×C13—21no—
130C22×C4×C13—22no—
131C22×C4×C13—22no—
132C22×C4×C13—22no—
133C22×C4×C13—21no—
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—21no—
143C22×C4×C13—21no—
144C22×C4×C13—22no—
145C22×C4×C13—22no—
146C22×C4×C13—22no—
147C22×C4×C13—22no—
148C22×C4×C13—22no—
149C22×C4×C13—21no—
150C22×C4×C13—22no—
151C22×C4×C13—22no—
152C22×C4×C13—21no—
153C22×C4×C13—22no—
154C22×C4×C13—22no—
155C22×C4×C13—22no—
156C22×C4×C13—22no—
157C22×C4×C13—21no—
158C22×C4×C13—21no—
159C22×C4×C13C2×D414yes—
160C22×C4×C13C2×D412yes—
161C22×C4×C13C2×D412yes—
162C22×C4×C13C2×D414yes—
163C22×C4×C13C2×D414yes—
164C22×C4×C13C2×D412yes—
165C22×C4×C13C2×D412yes—
166C22×C4×C13C2×D414yes—
167C22×C4×C13C2×Q812yes—
168C22×C4×C13C2×Q812yes—
169C22×C4×C13#4114yes—
170C22×C4×C13#4112yes—
171C22×C4×C13#4114yes—
172C22×C4×C13#4112yes—
173C13×C4⋊C4—28no—
174C13×C4⋊C4—216no—
175C13×C4⋊C4—48no—
176C13×C4⋊C4—44no—
177C13×C4⋊C4—48no—
178C13×C4⋊C4—44no—
179C13×C4⋊C4—48no—
180C13×C22⋊C4—28no—
181C13×C22⋊C4—48no—
182C13×C22⋊C4—44no—
183C13×C22⋊C4—48no—
184C13×C22⋊C4—44no—
185C42×C13—28no—
186C42×C13—48no—
187C2×#399C2×C1311yescharacteristic
188C2×#398C2×C1312yescomplemented
189C2×#396C2×C1312yes—
190C2×#389C2×C1311yescharacteristic, complemented
191C2×#388C2×C1311yescharacteristic
192C2×C4×C4⋊C4C2×C1311yescharacteristic, complemented
193#1445C2×C1311yescharacteristic, complemented
194#1444C2×C1311yescharacteristic, complemented
195#1439C2×C1311yescharacteristic
196#1437C2×C1312yes—
197C4⋊#95C2×C1312yescomplemented
198C23×C13—22no—
199C23×C13—24no—
200C23×C13—22no—
201C23×C13—24no—
202C23×C13—22no—
203C23×C13—41no—
204C23×C13—42no—
205C23×C13—41no—
206C23×C13—42no—
207C23×C13—41no—
208C23×C13—41no—
209C23×C13—42no—
210C23×C13—41no—
211C23×C13—41no—
212C23×C13—42no—
213C23×C13—42no—
214C23×C13—42no—
215C23×C13—41no—
216C23×C13—42no—
217C23×C13—42no—
218C23×C13—42no—
219C23×C13—41no—
220C23×C13—42no—
221C23×C13C22×D411yescharacteristic
222C23×C13C22×D411yescharacteristic
223C23×C13C22×D412yes—
224C23×C13C22×Q811yescharacteristic
225C23×C13C2×#4112yes—
226C23×C13C2×#4111yescharacteristic
227C23×C13C2×#4111yescharacteristic
228C23×C13C2×#4112yes—
229C23×C13H(5,𝔽2)11yescharacteristic
230C23×C132−1+412yes—
231C23×C132−1+411yescharacteristic
232C2×C4×C13—22no—
233C2×C4×C13—22no—
234C2×C4×C13—24no—
235C2×C4×C13—22no—
236C2×C4×C13—24no—
237C2×C4×C13—22no—
238C2×C4×C13—24no—
239C2×C4×C13—22no—
240C2×C4×C13—22no—
241C2×C4×C13—24no—
242C2×C4×C13—22no—
243C2×C4×C13—24no—
244C2×C4×C13—24no—
245C2×C4×C13—24no—
246C2×C4×C13—24no—
247C2×C4×C13—24no—
248C2×C4×C13—22no—
249C2×C4×C13—24no—
250C2×C4×C13—22no—
251C2×C4×C13—22no—
252C2×C4×C13—24no—
253C2×C4×C13—22no—
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—42no—
261C2×C4×C13—42no—
262C2×C4×C13—41no—
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—41no—
272C2×C4×C13—42no—
273C2×C4×C13—42no—
274C2×C4×C13—42no—
275C2×C4×C13—42no—
276C2×C4×C13—41no—
277C2×C4×C13—41no—
278C2×C4×C13—41no—
279C2×C4×C13—42no—
280C2×C4×C13—41no—
281C2×C4×C13—42no—
282C2×C4×C13—42no—
283C2×C4×C13—42no—
284C2×C4×C13—42no—
285C2×C4×C13—41no—
286C2×C4×C13—42no—
287C2×C4×C13—42no—
288C2×C4×C13#12114yes—
289C2×C4×C13#12118yes—
290C2×C4×C13C22⋊Q814yes—
291C2×C4×C13#12714yes—
292C22×C4⋊C4C22×C1312yes—
293C22×C4⋊C4C22×C1311yescharacteristic
294C22×C4⋊C4C22×C1312yes—
295C22×C4⋊C4C22×C1311yescharacteristic
296C22×C4⋊C4C22×C1311yescharacteristic
297C22×C4⋊C4C22×C1312yes—
298C22×C4⋊C4C22×C1312yes—
299C22×C22⋊C4C22×C1311yescharacteristic
300C22×C22⋊C4C22×C1312yes—
301C22×C22⋊C4C22×C1311yescharacteristic
302C22×C22⋊C4C22×C1312yes—
303C22×C22⋊C4C22×C1311yescharacteristic
304C22×C42C22×C1312yes—
305C22×C42C22×C1311yescharacteristic
306#399—24no—
307#398—28no—
308#396—28no—
309#389—24no—
310#388—24no—
311C4×C4⋊C4—24no—
312C2×#95C22×C1312yes—
313C2×#95C22×C1312yes—
314C2×#95C22×C1312yes—
315C2×#95C22×C1312yes—
316C2×#95C22×C1311yescharacteristic
317C2×#95C22×C1312yes—
318C2×#95C22×C1311yescharacteristic
319C2×#95C22×C1311yescharacteristic
320C2×#95C22×C1311yescharacteristic
321C22×C13—42no—
322C22×C13—42no—
323C22×C13—44no—
324C22×C13—42no—
325C22×C13—44no—
326C22×C13—81no—
327C22×C13—81no—
328C22×C13—81no—
329C22×C13—82no—
330C22×C13—82no—
331C22×C13—81no—
332C22×C13C2×#12111yescharacteristic
333C22×C13C2×#12112yes—
334C22×C13C2×C22⋊Q811yescharacteristic
335C22×C13#52511yescharacteristic
336C22×C13#52912yes—
337C22×C13C2×#12711yescharacteristic
338C22×C13#53211yescharacteristic
339C22×C13#53212yes—
340C22×C13#53312yes—
341C22×C13#53611yescharacteristic
342C22×C13#53711yescharacteristic
343C22×C13#53912yes—
344C22×C13#54112yes—
345C22×C13#54611yescharacteristic
346C22×C13#54612yes—
347C22×C13#54712yes—
348C22×C13#54712yes—
349C22×C13#54812yes—
350C22×C13D4×Q811yescharacteristic
351C22×C13D4×Q812yes—
352C22×C13#55212yes—
353C22×C13#55211yescharacteristic
354C22×C13#55411yescharacteristic
355C4×C13—24no—
356C4×C13—24no—
357C4×C13—24no—
358C4×C13—28no—
359C4×C13—44no—
360C4×C13—44no—
361C4×C13—42no—
362C4×C13—81no—
363C4×C13—82no—
364C4×C13—81no—
365C25C23×C1311yescharacteristic
366C23×C4C23×C1312yes—
367C23×C4C23×C1311yescharacteristic
368C23×C4C23×C1311yescharacteristic
369C23×C4C23×C1312yes—
370C23×C4C23×C1311yescharacteristic
371C23×C4C23×C1312yes—
372C23×C4C23×C1311yescharacteristic
373C23×C4C23×C1312yes—
374C23×C4C23×C1311yescharacteristic
375C23×C4C23×C1311yescharacteristic
376C2×C4⋊C4—24no—
377C2×C4⋊C4—22no—
378C2×C4⋊C4—24no—
379C2×C4⋊C4—24no—
380C2×C4⋊C4—22no—
381C2×C4⋊C4—22no—
382C2×C4⋊C4—24no—
383C2×C4⋊C4—24no—
384C2×C4⋊C4—24no—
385C2×C4⋊C4—24no—
386C2×C4⋊C4—24no—
387C2×C4⋊C4—24no—
388C2×C4⋊C4—22no—
389C2×C4⋊C4—24no—
390C2×C4⋊C4—24no—
391C2×C4⋊C4—22no—
392C2×C4⋊C4—24no—
393C2×C4⋊C4—42no—
394C2×C4⋊C4D4×C1318yes—
395C2×C22⋊C4—22no—
396C2×C22⋊C4—22no—
397C2×C22⋊C4—22no—
398C2×C22⋊C4—22no—
399C2×C22⋊C4—24no—
400C2×C22⋊C4—24no—
401C2×C22⋊C4—24no—
402C2×C22⋊C4—22no—
403C2×C22⋊C4—24no—
404C2×C22⋊C4—24no—
405C2×C22⋊C4—22no—
406C2×C22⋊C4—24no—
407C2×C22⋊C4—42no—
408C2×C22⋊C4Q8×C1314yes—
409C2×C42—22no—
410C2×C42—22no—
411C2×C42—24no—
412C2×C42—24no—
413C2×C42—42no—
414C2×C42D4×C1314yes—
415#95—22no—
416#95—22no—
417#95—22no—
418#95—24no—
419#95—24no—
420#95—24no—
421#95—24no—
422#95—24no—
423#95D4×C1314yes—
424C2×C13—82no—
425C2×C13#239611yescharacteristic
426C2×C13#241311yescharacteristic
427C2×C13#241711yescharacteristic
428C2×C13#242512yes—
429C2×C13#242912yes—
430C2×C13#251912yes—
431C2×C13#254011yescharacteristic
432C2×C13#254211yescharacteristic
433C2×C13#255612yes—
434C2×C13#266411yescharacteristic
435C2×C13#285611yescharacteristic
436C24—21no—
437C24—21no—
438C24—22no—
439C24—21no—
440C24—22no—
441C24—22no—
442C24—21no—
443C24—21no—
444C24—22no—
445C24—21no—
446C24C2×Q8×C1312yes—
447C24C24×C1311yescharacteristic
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—21no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—21no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—21no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—21no—
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—21no—
478C22×C4—21no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—21no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4C2×D4×C1314yes—
495C22×C4C2×D4×C1312yes—
496C22×C4C2×D4×C1312yes—
497C22×C4C2×D4×C1314yes—
498C22×C4C2×D4×C1314yes—
499C22×C4C2×D4×C1312yes—
500C22×C4C2×D4×C1312yes—
501C22×C4C2×D4×C1314yes—
502C22×C4C2×Q8×C1312yes—
503C22×C4C2×Q8×C1312yes—
504C22×C4C13×#4114yes—
505C22×C4C13×#4112yes—
506C22×C4C13×#4114yes—
507C22×C4C13×#4112yes—
508C4⋊C4—28no—
509C4⋊C4—216no—
510C4⋊C4—48no—
511C4⋊C4—44no—
512C4⋊C4—48no—
513C4⋊C4—44no—
514C4⋊C4—48no—
515C22⋊C4—28no—
516C22⋊C4—48no—
517C22⋊C4—44no—
518C22⋊C4—48no—
519C22⋊C4—44no—
520C42—28no—
521C42—48no—
522C13#1487011yescharacteristic, direct product factor, Sylow
523C23—22no—
524C23—24no—
525C23—24no—
526C23—22no—
527C23—22no—
528C23—41no—
529C23—42no—
530C23—41no—
531C23—42no—
532C23—41no—
533C23—42no—
534C23—41no—
535C23—41no—
536C23—41no—
537C23—42no—
538C23—42no—
539C23—42no—
540C23—41no—
541C23—42no—
542C23—42no—
543C23—42no—
544C23—42no—
545C23—41no—
546C23C22×D4×C1311yescharacteristic
547C23C22×D4×C1311yescharacteristic
548C23C22×D4×C1312yes—
549C23C22×Q8×C1311yescharacteristic
550C23C2×C13×#4112yes—
551C23C2×C13×#4111yescharacteristic
552C23C2×C13×#4111yescharacteristic
553C23C2×C13×#4112yes—
554C23C13×H(5,𝔽2)11yescharacteristic
555C23C13×2−1+412yes—
556C23C13×2−1+411yescharacteristic
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—24no—
560C2×C4—22no—
561C2×C4—24no—
562C2×C4—24no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—24no—
567C2×C4—22no—
568C2×C4—24no—
569C2×C4—24no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—24no—
573C2×C4—22no—
574C2×C4—24no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—24no—
578C2×C4—22no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—42no—
586C2×C4—42no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—42no—
590C2×C4—42no—
591C2×C4—42no—
592C2×C4—42no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—42no—
596C2×C4—41no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—41no—
609C2×C4—42no—
610C2×C4—41no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4C13×#12114yes—
614C2×C4C13×#12118yes—
615C2×C4C13×C22⋊Q814yes—
616C2×C4C13×#12714yes—
617C22—42no—
618C22—44no—
619C22—42no—
620C22—42no—
621C22—44no—
622C22—82no—
623C22—81no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—82no—
628C22C2×C13×#12111yescharacteristic
629C22C2×C13×#12112yes—
630C22C2×C13×C22⋊Q811yescharacteristic
631C22C13×#52511yescharacteristic
632C22C13×#52912yes—
633C22C2×C13×#12711yescharacteristic
634C22C13×#53212yes—
635C22C13×#53211yescharacteristic
636C22C13×#53312yes—
637C22C13×#53611yescharacteristic
638C22C13×#53711yescharacteristic
639C22C13×#53912yes—
640C22C13×#54112yes—
641C22C13×#54612yes—
642C22C13×#54611yescharacteristic
643C22C13×#54712yes—
644C22C13×#54712yes—
645C22C13×#54812yes—
646C22D4×Q8×C1312yes—
647C22D4×Q8×C1311yescharacteristic
648C22C13×#55211yescharacteristic
649C22C13×#55212yes—
650C22C13×#55411yescharacteristic
651C4—24no—
652C4—24no—
653C4—24no—
654C4—28no—
655C4—44no—
656C4—42no—
657C4—44no—
658C4—81no—
659C4—81no—
660C4—82no—
661C2—82no—
662C2C13×#239611yescharacteristic
663C2C13×#241311yescharacteristic
664C2C13×#241711yescharacteristic
665C2C13×#242512yes—
666C2C13×#242912yes—
667C2C13×#251912yes—
668C2C13×#254011yescharacteristic
669C2C13×#254211yescharacteristic
670C2C13×#255612yes—
671C2C13×#266411yescharacteristic
672C2C13×#285611yescharacteristic
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
2. C2×C13×#398C2semidirect
4. C2×C13×#389C2semidirect
6. C2×C4×C13×C4⋊C4C2semidirect
7. C13×#1445C2semidirect
8. C13×#1444C2semidirect
11. C13×C4⋊#95C2semidirect
100. #14870C13direct (N × H)
188. C2×#398C2×C13semidirect
190. C2×#389C2×C13semidirect
192. C2×C4×C4⋊C4C2×C13semidirect
193. #1445C2×C13semidirect
194. #1444C2×C13semidirect
197. C4⋊#95C2×C13semidirect
522. C13#14870direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C13×#3992
C2×C13×#3982
C2×C13×#3962
C2×C13×#3892
C2×C13×#3882
C2×C4×C13×C4⋊C42
C13×#14452
C13×#14442
C13×#14392
C13×#14372
C13×C4⋊#952
#1487013