Finite Group Databasebeta

← C2×C13×#2197 #15719883

Subgroups — C2×C13×#2197 #15719883

Order 3328.

1320 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C13×#551C211yesmaximal, characteristic, complemented
2C2×C13×#458C211yesmaximal, characteristic, complemented
3C2×C13×B(4,𝔽2)C211yesmaximal, characteristic
4C2×C13×#455C211yesmaximal, characteristic, complemented
5C13×#2197C218yesmaximal, direct product factor
6C2×C13×#354C211yesmaximal, characteristic, complemented
7C2×C13×#352C211yesmaximal, characteristic, complemented
8C2×C13×AΣL(1,𝔽16)C211yesmaximal, characteristic, complemented
9C2×C13×H(5,𝔽2)C2211yescharacteristic
10C2×C13×#137—21no—
11C13×#551—22no—
12C13×#551—22no—
13C13×#551—22no—
14C13×#551C2214yescomplemented
15C2×C13×#126—21no—
16C2×C13×#124C2211yescharacteristic
17C2×C13×#123—21no—
18C2×C13×#123—21no—
19C2×C13×#123C2211yescharacteristic
20C2×C13×C22⋊Q8—21no—
21C2×C13×#120—21no—
22C2×C13×#120C2211yescharacteristic
23C2×C4×D4×C13—21no—
24C2×C13×#117—21no—
25C22×C13×C22⋊C4—21no—
26C13×#458—22no—
27C13×#458C2214yescomplemented
28C13×B(4,𝔽2)—22no—
29C13×B(4,𝔽2)C2214yes—
30C13×#455—22no—
31C13×#455C2214yescomplemented
32C2×C13×#104—21no—
33C2×C13×#100C2211yescharacteristic
34C2×C13×#99—21no—
35C2×C13×#99—21no—
36C2×C13×#99C2211yescharacteristic
37C2×C13×#99C2211yescharacteristic
38C13×#354C2214yescomplemented
39C13×#352C2214yescomplemented
40C13×AΣL(1,𝔽16)C2214yescomplemented
41C25×C13D411yescharacteristic
42C13×H(5,𝔽2)—21no—
43C13×H(5,𝔽2)—21no—
44C13×H(5,𝔽2)—21no—
45C13×H(5,𝔽2)—42no—
46C13×H(5,𝔽2)C2312yes—
47C2×C13×#41—21no—
48C2×C13×#41—41no—
49C22×Q8×C13D411yescharacteristic, complemented
50C22×D4×C13—21no—
51C22×D4×C13—21no—
52C22×D4×C13—21no—
53C22×D4×C13—41no—
54C22×D4×C13—41no—
55C22×D4×C13C2311yescharacteristic
56C23×C4×C13—21no—
57C23×C4×C13—21no—
58C23×C4×C13D411yescharacteristic, complemented
59C13×#137—24no—
60C13×#137—42no—
61C2×C13×Q16—41no—
62C2×C13×SD16—41no—
63C2×C13×M16—21no—
64C13×#126—24no—
65C13×#126—24no—
66C13×#124—21no—
67C13×#124—21no—
68C13×#124D412yescomplemented
69C13×#124C2312yes—
70C13×#123—24no—
71C13×#123—21no—
72C13×#123—21no—
73C13×#123—24no—
74C13×#123—24no—
75C13×#123—42no—
76C13×#123D412yescomplemented
77C13×#123C2312yes—
78C13×C22⋊Q8—24no—
79C13×C22⋊Q8—24no—
80C13×#120—21no—
81C13×#120—21no—
82C13×#120—24no—
83C13×#120—42no—
84C13×#120D412yes—
85C13×#120C2312yes—
86C4×D4×C13—24no—
87C4×D4×C13—24no—
88C13×#117—24no—
89C13×#117—24no—
90C2×C13×C4⋊C4—21no—
91C2×C13×C4⋊C4—21no—
92C2×C13×C4⋊C4—21no—
93C2×C13×C4⋊C4—21no—
94C2×C13×C4⋊C4—41no—
95C2×C13×C22⋊C4—21no—
96C2×C13×C22⋊C4—21no—
97C2×C13×C22⋊C4—24no—
98C2×C13×C22⋊C4—21no—
99C2×C13×C22⋊C4—21no—
100C2×C13×C22⋊C4—24no—
101C2×C13×C22⋊C4—21no—
102C2×C13×C22⋊C4—21no—
103C2×C13×C22⋊C4—21no—
104C2×C13×C22⋊C4—21no—
105C2×C13×C22⋊C4—41no—
106C2×C13×C22⋊C4—41no—
107C2×C13×C22⋊C4D411yescharacteristic
108C2×C13×C22⋊C4D411yescharacteristic, complemented
109C2×C42×C13—21no—
110C2×C42×C13D411yescharacteristic, complemented
111C13×#104—24no—
112C13×#100—21no—
113C13×#100C2312yes—
114C13×#99—21no—
115C13×#99—21no—
116C13×#99—24no—
117C13×#99—24no—
118C13×#99C2312yes—
119C13×#99C2312yes—
120C2×#2197C1311yesmaximal, characteristic, direct product factor, Sylow
121C24×C13—21no—
122C24×C13—21no—
123C24×C13—21no—
124C24×C13—21no—
125C24×C13—41no—
126C24×C13—44no—
127C24×C13—41no—
128C24×C13C2×D411yescharacteristic
129C24×C13C2×D411yescharacteristic
130C24×C13C2×D412yes—
131C13×#41—22no—
132C13×#41—22no—
133C13×#41—42no—
134C13×#41—41no—
135C13×#41—42no—
136C13×#41—42no—
137C13×#41—42no—
138C13×#41—41no—
139C2×Q8×C13—21no—
140C2×Q8×C13—21no—
141C2×Q8×C13—41no—
142C2×Q8×C13—41no—
143C2×Q8×C13C2×D412yescomplemented
144C2×D4×C13—21no—
145C2×D4×C13—22no—
146C2×D4×C13—22no—
147C2×D4×C13—22no—
148C2×D4×C13—22no—
149C2×D4×C13—22no—
150C2×D4×C13—22no—
151C2×D4×C13—41no—
152C2×D4×C13—41no—
153C2×D4×C13—42no—
154C2×D4×C13—42no—
155C2×D4×C13—44no—
156C2×D4×C13—41no—
157C2×D4×C13—41no—
158C2×D4×C13—41no—
159C2×D4×C13—41no—
160C2×D4×C13—42no—
161C2×D4×C13—42no—
162C2×D4×C13—41no—
163C2×D4×C13—41no—
164C2×D4×C13—41no—
165C2×D4×C13—44no—
166C2×D4×C13—84no—
167C2×D4×C13C2×D411yescharacteristic
168C2×D4×C13C2×D411yescharacteristic
169C2×D4×C13C2×D411yescharacteristic
170C2×D4×C13C2411yescharacteristic
171C22×C4×C13—24no—
172C22×C4×C13—21no—
173C22×C4×C13—21no—
174C22×C4×C13—21no—
175C22×C4×C13—21no—
176C22×C4×C13—21no—
177C22×C4×C13—21no—
178C22×C4×C13—21no—
179C22×C4×C13—24no—
180C22×C4×C13—21no—
181C22×C4×C13—41no—
182C22×C4×C13—44no—
183C22×C4×C13—41no—
184C22×C4×C13—41no—
185C22×C4×C13—41no—
186C22×C4×C13—41no—
187C22×C4×C13—81no—
188C22×C4×C13—81no—
189C22×C4×C13C2×D411yescharacteristic
190C22×C4×C13C2×D412yescomplemented
191C13×Q16—44no—
192C13×SD16—44no—
193C13×M16—22no—
194C13×M16—41no—
195C2×C8×C13—41no—
196C13×C4⋊C4—24no—
197C13×C4⋊C4—24no—
198C13×C4⋊C4—24no—
199C13×C4⋊C4—22no—
200C13×C4⋊C4—22no—
201C13×C4⋊C4—44no—
202C13×C22⋊C4—24no—
203C13×C22⋊C4—24no—
204C13×C22⋊C4—22no—
205C13×C22⋊C4—22no—
206C13×C22⋊C4—22no—
207C13×C22⋊C4—21no—
208C13×C22⋊C4—21no—
209C13×C22⋊C4—22no—
210C13×C22⋊C4—22no—
211C13×C22⋊C4—22no—
212C13×C22⋊C4—22no—
213C13×C22⋊C4—22no—
214C13×C22⋊C4—22no—
215C13×C22⋊C4—22no—
216C13×C22⋊C4—44no—
217C13×C22⋊C4—41no—
218C13×C22⋊C4—41no—
219C13×C22⋊C4—44no—
220C13×C22⋊C4C2×D412yes—
221C13×C22⋊C4C2×D412yescomplemented
222C42×C13—24no—
223C42×C13—21no—
224C42×C13C2×D412yescomplemented
225C2×#551C2×C1311yescharacteristic, complemented
226C2×#458C2×C1311yescharacteristic, complemented
227C2×B(4,𝔽2)C2×C1311yescharacteristic
228C2×#455C2×C1311yescharacteristic, complemented
229#2197C2×C1318yesdirect product factor
230C2×#354C2×C1311yescharacteristic, complemented
231C2×#352C2×C1311yescharacteristic, complemented
232C2×AΣL(1,𝔽16)C2×C1311yescharacteristic, complemented
233C23×C13—24no—
234C23×C13—22no—
235C23×C13—21no—
236C23×C13—21no—
237C23×C13—21no—
238C23×C13—21no—
239C23×C13—22no—
240C23×C13—22no—
241C23×C13—42no—
242C23×C13—42no—
243C23×C13—42no—
244C23×C13—42no—
245C23×C13—44no—
246C23×C13—44no—
247C23×C13—41no—
248C23×C13—41no—
249C23×C13—41no—
250C23×C13—41no—
251C23×C13—44no—
252C23×C13—41no—
253C23×C13—81no—
254C23×C13—84no—
255C23×C13—82no—
256C23×C13—82no—
257C23×C13—82no—
258C23×C13#12011yescharacteristic
259C23×C13#12011yescharacteristic
260C23×C13#12011yescharacteristic
261C23×C13C22×D411yescharacteristic
262C23×C13C22×D411yescharacteristic
263Q8×C13—22no—
264Q8×C13—41no—
265Q8×C13—42no—
266Q8×C13—81no—
267D4×C13—22no—
268D4×C13—41no—
269D4×C13—41no—
270D4×C13—41no—
271D4×C13—41no—
272D4×C13—41no—
273D4×C13—44no—
274D4×C13—44no—
275D4×C13—42no—
276D4×C13—42no—
277D4×C13—42no—
278D4×C13—42no—
279D4×C13—42no—
280D4×C13—42no—
281D4×C13—88no—
282C2×C4×C13—21no—
283C2×C4×C13—21no—
284C2×C4×C13—22no—
285C2×C4×C13—22no—
286C2×C4×C13—22no—
287C2×C4×C13—22no—
288C2×C4×C13—22no—
289C2×C4×C13—22no—
290C2×C4×C13—22no—
291C2×C4×C13—42no—
292C2×C4×C13—42no—
293C2×C4×C13—42no—
294C2×C4×C13—42no—
295C2×C4×C13—48no—
296C2×C4×C13—42no—
297C2×C4×C13—41no—
298C2×C4×C13—41no—
299C2×C4×C13—41no—
300C2×C4×C13—41no—
301C2×C4×C13—41no—
302C2×C4×C13—41no—
303C2×C4×C13—41no—
304C2×C4×C13—42no—
305C2×C4×C13—42no—
306C2×C4×C13—42no—
307C2×C4×C13—81no—
308C2×C4×C13—84no—
309C2×C4×C13—82no—
310C2×C4×C13—82no—
311C2×C4×C13#12011yescharacteristic
312C2×C4×C13C22×D411yescharacteristic
313C8×C13—42no—
314C2×H(5,𝔽2)C22×C1311yescharacteristic
315C2×#137—21no—
316#551—22no—
317#551—22no—
318#551—22no—
319#551C22×C1314yescomplemented
320C2×#126—21no—
321C2×#124C22×C1311yescharacteristic
322C2×#123—21no—
323C2×#123—21no—
324C2×#123C22×C1311yescharacteristic
325C2×C22⋊Q8—21no—
326C2×#120—21no—
327C2×#120C22×C1311yescharacteristic
328C2×C4×D4—21no—
329C2×#117—21no—
330C22×C22⋊C4—21no—
331#458—22no—
332#458C22×C1314yescomplemented
333B(4,𝔽2)—22no—
334B(4,𝔽2)C22×C1314yes—
335#455—22no—
336#455C22×C1314yescomplemented
337C2×#104—21no—
338C2×#100C22×C1311yescharacteristic
339C2×#99—21no—
340C2×#99—21no—
341C2×#99C22×C1311yescharacteristic
342C2×#99C22×C1311yescharacteristic
343#354C22×C1314yescomplemented
344#352C22×C1314yescomplemented
345AΣL(1,𝔽16)C22×C1314yescomplemented
346C22×C13—22no—
347C22×C13—24no—
348C22×C13—21no—
349C22×C13—21no—
350C22×C13—21no—
351C22×C13—21no—
352C22×C13—41no—
353C22×C13—41no—
354C22×C13—41no—
355C22×C13—41no—
356C22×C13—42no—
357C22×C13—44no—
358C22×C13—44no—
359C22×C13—42no—
360C22×C13—42no—
361C22×C13—44no—
362C22×C13—42no—
363C22×C13—42no—
364C22×C13—81no—
365C22×C13—81no—
366C22×C13—82no—
367C22×C13—84no—
368C22×C13—82no—
369C22×C13—82no—
370C22×C13—82no—
371C22×C13—161no—
372C22×C13—161no—
373C22×C13B(4,𝔽2)11yescharacteristic
374C22×C13B(4,𝔽2)11yescharacteristic
375C22×C13C2×#12011yescharacteristic
376C4×C13—21no—
377C4×C13—21no—
378C4×C13—42no—
379C4×C13—42no—
380C4×C13—42no—
381C4×C13—42no—
382C4×C13—42no—
383C4×C13—42no—
384C4×C13—82no—
385C4×C13—82no—
386C25D4×C1311yescharacteristic
387H(5,𝔽2)—21no—
388H(5,𝔽2)—21no—
389H(5,𝔽2)—21no—
390H(5,𝔽2)—42no—
391H(5,𝔽2)C23×C1312yes—
392C2×#41—21no—
393C2×#41—41no—
394C22×Q8D4×C1311yescharacteristic, complemented
395C22×D4—21no—
396C22×D4—21no—
397C22×D4—21no—
398C22×D4—41no—
399C22×D4—41no—
400C22×D4C23×C1311yescharacteristic
401C23×C4—21no—
402C23×C4—21no—
403C23×C4D4×C1311yescharacteristic, complemented
404#137—24no—
405#137—42no—
406C2×Q16—41no—
407C2×SD16—41no—
408C2×M16—21no—
409#126—24no—
410#126—24no—
411#124—21no—
412#124—21no—
413#124D4×C1312yescomplemented
414#124C23×C1312yes—
415#123—24no—
416#123—21no—
417#123—21no—
418#123—24no—
419#123—24no—
420#123—42no—
421#123D4×C1312yescomplemented
422#123C23×C1312yes—
423C22⋊Q8—24no—
424C22⋊Q8—24no—
425#120—21no—
426#120—21no—
427#120—24no—
428#120—42no—
429#120D4×C1312yes—
430#120C23×C1312yes—
431C4×D4—24no—
432C4×D4—24no—
433#117—24no—
434#117—24no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—41no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4—24no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—24no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—21no—
450C2×C22⋊C4—41no—
451C2×C22⋊C4—41no—
452C2×C22⋊C4D4×C1311yescharacteristic
453C2×C22⋊C4D4×C1311yescharacteristic, complemented
454C2×C42—21no—
455C2×C42D4×C1311yescharacteristic, complemented
456#104—24no—
457#100—21no—
458#100C23×C1312yes—
459#99—21no—
460#99—21no—
461#99—24no—
462#99—24no—
463#99C23×C1312yes—
464#99C23×C1312yes—
465C2×C13—21no—
466C2×C13—21no—
467C2×C13—41no—
468C2×C13—41no—
469C2×C13—44no—
470C2×C13—41no—
471C2×C13—41no—
472C2×C13—82no—
473C2×C13#219712yesdirect product factor
474C2×C13C2×B(4,𝔽2)11yescharacteristic
475C24—21no—
476C24—21no—
477C24—21no—
478C24—21no—
479C24—41no—
480C24—44no—
481C24—41no—
482C24C2×D4×C1311yescharacteristic
483C24C2×D4×C1311yescharacteristic
484C24C2×D4×C1312yes—
485#41—22no—
486#41—22no—
487#41—42no—
488#41—41no—
489#41—42no—
490#41—42no—
491#41—42no—
492#41—41no—
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8—41no—
496C2×Q8—41no—
497C2×Q8C2×D4×C1312yescomplemented
498C2×D4—21no—
499C2×D4—22no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—22no—
504C2×D4—22no—
505C2×D4—41no—
506C2×D4—41no—
507C2×D4—42no—
508C2×D4—42no—
509C2×D4—41no—
510C2×D4—41no—
511C2×D4—41no—
512C2×D4—41no—
513C2×D4—44no—
514C2×D4—42no—
515C2×D4—42no—
516C2×D4—41no—
517C2×D4—41no—
518C2×D4—41no—
519C2×D4—44no—
520C2×D4—84no—
521C2×D4C2×D4×C1311yescharacteristic
522C2×D4C2×D4×C1311yescharacteristic
523C2×D4C2×D4×C1311yescharacteristic
524C2×D4C24×C1311yescharacteristic
525C22×C4—24no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—24no—
534C22×C4—21no—
535C22×C4—41no—
536C22×C4—44no—
537C22×C4—41no—
538C22×C4—41no—
539C22×C4—41no—
540C22×C4—41no—
541C22×C4—81no—
542C22×C4—81no—
543C22×C4C2×D4×C1311yescharacteristic
544C22×C4C2×D4×C1312yescomplemented
545Q16—44no—
546SD16—44no—
547M16—22no—
548M16—41no—
549C2×C8—41no—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—44no—
556C22⋊C4—24no—
557C22⋊C4—24no—
558C22⋊C4—22no—
559C22⋊C4—22no—
560C22⋊C4—22no—
561C22⋊C4—21no—
562C22⋊C4—21no—
563C22⋊C4—22no—
564C22⋊C4—22no—
565C22⋊C4—22no—
566C22⋊C4—22no—
567C22⋊C4—22no—
568C22⋊C4—22no—
569C22⋊C4—22no—
570C22⋊C4—44no—
571C22⋊C4—41no—
572C22⋊C4—41no—
573C22⋊C4—44no—
574C22⋊C4C2×D4×C1312yes—
575C22⋊C4C2×D4×C1312yescomplemented
576C42—24no—
577C42—21no—
578C42C2×D4×C1312yescomplemented
579C13C2×#219711yescharacteristic, direct product factor, Sylow
580C23—24no—
581C23—21no—
582C23—21no—
583C23—22no—
584C23—21no—
585C23—21no—
586C23—22no—
587C23—22no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—44no—
593C23—44no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—44no—
599C23—41no—
600C23—81no—
601C23—84no—
602C23—82no—
603C23—82no—
604C23—82no—
605C23C13×#12011yescharacteristic
606C23C13×#12011yescharacteristic
607C23C13×#12011yescharacteristic
608C23C22×D4×C1311yescharacteristic
609C23C22×D4×C1311yescharacteristic
610Q8—22no—
611Q8—42no—
612Q8—41no—
613Q8—81no—
614D4—22no—
615D4—41no—
616D4—41no—
617D4—41no—
618D4—41no—
619D4—41no—
620D4—42no—
621D4—42no—
622D4—42no—
623D4—42no—
624D4—44no—
625D4—44no—
626D4—42no—
627D4—42no—
628D4—88no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—48no—
643C2×C4—42no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—81no—
655C2×C4—84no—
656C2×C4—82no—
657C2×C4—82no—
658C2×C4C13×#12011yescharacteristic
659C2×C4C22×D4×C1311yescharacteristic
660C8—42no—
661C22—22no—
662C22—24no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—21no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—42no—
672C22—44no—
673C22—44no—
674C22—42no—
675C22—42no—
676C22—42no—
677C22—44no—
678C22—42no—
679C22—81no—
680C22—81no—
681C22—82no—
682C22—84no—
683C22—82no—
684C22—82no—
685C22—82no—
686C22—161no—
687C22—161no—
688C22C13×B(4,𝔽2)11yescharacteristic
689C22C13×B(4,𝔽2)11yescharacteristic
690C22C2×C13×#12011yescharacteristic
691C4—21no—
692C4—21no—
693C4—42no—
694C4—42no—
695C4—42no—
696C4—42no—
697C4—42no—
698C4—42no—
699C4—82no—
700C4—82no—
701C2—21no—
702C2—21no—
703C2—41no—
704C2—41no—
705C2—44no—
706C2—41no—
707C2—41no—
708C2—82no—
709C2C13×#219712yesdirect product factor
710C2C2×C13×B(4,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22×C13B(4,𝔽2)
commutator, Frattini, cosocleC2×D4C24×C13
prime radicalC2×C13×B(4,𝔽2)C2
LCSG ▷ C2×D4 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C22×C13 ◁ C23×C13 ◁ C22×D4×C13 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C13×#551C2semidirect
2. C2×C13×#458C2semidirect
4. C2×C13×#455C2semidirect
5. C13×#2197C2direct (N × H)
6. C2×C13×#354C2semidirect
7. C2×C13×#352C2semidirect
8. C2×C13×AΣL(1,𝔽16)C2semidirect
14. C13×#551C22semidirect
27. C13×#458C22semidirect
31. C13×#455C22semidirect
38. C13×#354C22semidirect
39. C13×#352C22semidirect
40. C13×AΣL(1,𝔽16)C22semidirect
49. C22×Q8×C13D4semidirect
58. C23×C4×C13D4semidirect
68. C13×#124D4semidirect
76. C13×#123D4semidirect
108. C2×C13×C22⋊C4D4semidirect
110. C2×C42×C13D4semidirect
120. C2×#2197C13direct (N × H)
143. C2×Q8×C13C2×D4semidirect
190. C22×C4×C13C2×D4semidirect
221. C13×C22⋊C4C2×D4semidirect
224. C42×C13C2×D4semidirect
225. C2×#551C2×C13semidirect
226. C2×#458C2×C13semidirect
228. C2×#455C2×C13semidirect
229. #2197C2×C13direct (N × H)
230. C2×#354C2×C13semidirect
231. C2×#352C2×C13semidirect
232. C2×AΣL(1,𝔽16)C2×C13semidirect
319. #551C22×C13semidirect
332. #458C22×C13semidirect
336. #455C22×C13semidirect
343. #354C22×C13semidirect
344. #352C22×C13semidirect
345. AΣL(1,𝔽16)C22×C13semidirect
394. C22×Q8D4×C13semidirect
403. C23×C4D4×C13semidirect
413. #124D4×C13semidirect
421. #123D4×C13semidirect
453. C2×C22⋊C4D4×C13semidirect
455. C2×C42D4×C13semidirect
473. C2×C13#2197direct (N × H)
497. C2×Q8C2×D4×C13semidirect
544. C22×C4C2×D4×C13semidirect
575. C22⋊C4C2×D4×C13semidirect
578. C42C2×D4×C13semidirect
579. C13C2×#2197direct (N × H)
709. C2C13×#2197direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C13×#5512
C2×C13×#4582
C2×C13×B(4,𝔽2)2
C2×C13×#4552
C13×#21972
C2×C13×#3542
C2×C13×#3522
C2×C13×AΣL(1,𝔽16)2
C2×#219713