Finite Group Databasebeta

← #15919638

Subgroups — #15919638

Order 3328.

1052 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718750C211yesmaximal, characteristic, complemented
2C2×#11718729C211yesmaximal, characteristic, complemented
3#13120593C211yesmaximal, characteristic
4#13115984C211yesmaximal, characteristic, complemented
5#13115979C211yesmaximal, characteristic, complemented
6#13115974C211yesmaximal, characteristic, complemented
7#13115969C211yesmaximal, characteristic, complemented
8#13115806C211yesmaximal, characteristic, complemented
9#13115798C211yesmaximal, characteristic, complemented
10#13115158C211yesmaximal, characteristic
11#13115153C211yesmaximal, characteristic
12#13115148C211yesmaximal, characteristic, complemented
13#13115143C211yesmaximal, characteristic, complemented
14#13114602C211yesmaximal, characteristic, complemented
15C2×C13×#544C211yesmaximal, characteristic, complemented
16C13×#544—24no—
17C13×#544—24no—
18C2×C13×C4⋊Q8—21no—
19C2×C13×C4⋊Q8C2211yescharacteristic
20C2×C13×C4⋊Q8C2211yescharacteristic
21C2×C13×#125—21no—
22C2×C13×#125C2211yescharacteristic
23C2×C13×#125C2211yescharacteristic
24C2×C13×C22⋊Q8—21no—
25C2×C13×C22⋊Q8—21no—
26C2×C13×#117C2211yescharacteristic
27C2×C13×#117C2211yescharacteristic
28C22×C13×C4⋊C4C2211yescharacteristic
29C2×#88184C2211yescharacteristic
30C2×#88178C2211yescharacteristic
31C2×#88129C2211yescharacteristic
32C2×C22⋊#1055C2211yescharacteristic
33C2×C22⋊#1055C2211yescharacteristic
34#11718750—24no—
35#11718729—24no—
36#11718655—21no—
37#11718655—21no—
38C2×#88050C2211yescharacteristic
39C2×#88050C2211yescharacteristic
40C2×#88050C2211yescharacteristic
41C2×#88050C2211yescharacteristic
42C2×#88049C2211yescharacteristic
43C2×#88049C2211yescharacteristic
44C2×#88049C2211yescharacteristic
45C2×#88049C2211yescharacteristic
46#11718622—21no—
47#11718622—21no—
48#11718600C2211yescharacteristic
49#11718596C2211yescharacteristic
50#11718590C2211yescharacteristic
51C2×#88043C2211yescharacteristic
52C2×C4×#1055C2211yescharacteristic
53#11718121C2211yescharacteristic
54#11718121C2211yescharacteristic
55#11718121C2211yescharacteristic
56#11718121C2211yescharacteristic
57#11718121C2211yescharacteristic
58#11718121C2211yescharacteristic
59#11718121C2211yescharacteristic
60#11718121C2211yescharacteristic
61#11718116C2211yescharacteristic
62#11718116C2211yescharacteristic
63C22×Q8×C13—21no—
64C22×Q8×C13—21no—
65C23×C4×C13—21no—
66C23×C4×C13C2311yescharacteristic
67C22×C22⋊D13—21no—
68C22×D52C2311yescharacteristic
69C22×Dic26C2311yescharacteristic
70C13×C4⋊Q8—28no—
71C13×C4⋊Q8—22no—
72C13×C4⋊Q8—22no—
73C13×C4⋊Q8—22no—
74C13×C4⋊Q8D414yescomplemented
75C13×#125—28no—
76C13×#125—22no—
77C13×#125—22no—
78C13×#125—22no—
79C13×#125D414yescomplemented
80C13×C22⋊Q8—28no—
81C13×C22⋊Q8—28no—
82C13×#117—22no—
83C13×#117—22no—
84C13×#117—22no—
85C13×#117—22no—
86C2×C13×C4⋊C4—21no—
87C2×C13×C4⋊C4—21no—
88C2×C13×C4⋊C4—21no—
89C2×C13×C4⋊C4—21no—
90C2×C13×C4⋊C4—21no—
91C2×C13×C4⋊C4—21no—
92C2×C13×C4⋊C4—21no—
93C2×C13×C4⋊C4—22no—
94C2×C13×C4⋊C4—22no—
95C2×C13×C4⋊C4D411yescharacteristic
96C2×C13×C4⋊C4D411yescharacteristic
97C2×C13×C4⋊C4C2311yescharacteristic
98C2×C13×C4⋊C4C2311yescharacteristic
99C2×C13×C4⋊C4C2311yescharacteristic
100C2×C13×C4⋊C4C2311yescharacteristic
101C2×C13×C22⋊C4—21no—
102C2×C13×C22⋊C4D411yescharacteristic
103C2×C13×C22⋊C4D411yescharacteristic
104C2×C42×C13—21no—
105C2×C42×C13C2311yescharacteristic
106C2×C42×C13C2311yescharacteristic
107C2×C22⋊Dic13—21no—
108#88184—22no—
109#88184—22no—
110C2×#6103—21no—
111C2×#6103—21no—
112C2×#6103—21no—
113C2×#6103—21no—
114C2×#6103—21no—
115C2×C4⋊Dic13—21no—
116C2×C4⋊Dic13—21no—
117C2×C4⋊Dic13C2311yescharacteristic
118C2×C4⋊Dic13C2311yescharacteristic
119#88178—22no—
120#88178—22no—
121C2×#6101—21no—
122C22×#1055C2311yescharacteristic
123C22×#1055C2311yescharacteristic
124C22×#1055C2311yescharacteristic
125C22×#1055C2311yescharacteristic
126#88129—22no—
127#88129—22no—
128#88071—21no—
129#88071—21no—
130C22⋊#1055—22no—
131C22⋊#1055—22no—
132#88050—22no—
133#88050—22no—
134#88050—22no—
135#88050—22no—
136#88049—22no—
137#88049—22no—
138#88049—22no—
139#88049—22no—
140#88043—22no—
141C4×#1055—22no—
142#25916—131nomaximal, Sylow
143C24×C13C2×D411yescharacteristic
144C23×D13—21no—
145C2×Q8×C13—24no—
146C2×Q8×C13—24no—
147C2×Q8×C13—81no—
148C2×Q8×C13—81no—
149C2×Q8×C13—81no—
150C2×Q8×C13—81no—
151C22×C4×C13—21no—
152C22×C4×C13—21no—
153C22×C4×C13—21no—
154C22×C4×C13—21no—
155C22×C4×C13—21no—
156C22×C4×C13—21no—
157C22×C4×C13—21no—
158C22×C4×C13—21no—
159C22×C4×C13—24no—
160C22×C4×C13—81no—
161C22×C4×C13—81no—
162C22×C4×C13C2×D411yescharacteristic
163C22×C4×C13C2×D411yescharacteristic
164C22×C4×C13C2×D411yescharacteristic
165C22×C4×C13C2×D411yescharacteristic
166C22×C4×C13C2×D411yescharacteristic
167C22×C4×C13#4112yes—
168C22×C4×C13#4112yes—
169C22×C4×C13C2411yescharacteristic
170C2×C22⋊D13—42no—
171C2×C22⋊D13—81no—
172C2×C22⋊D13—81no—
173C22×Dic13—21no—
174C22×Dic13—21no—
175C22×Dic13—21no—
176C2×D52—21no—
177C2×D52—21no—
178C2×D52—21no—
179C2×D52—21no—
180C2×D52—21no—
181C2×D52—21no—
182C2×Dic26—21no—
183C2×Dic26—21no—
184C2×Dic26—21no—
185C2×Dic26—21no—
186C2×Dic26—21no—
187C2×Dic26—21no—
188C13×C4⋊C4—24no—
189C13×C4⋊C4—24no—
190C13×C4⋊C4—24no—
191C13×C4⋊C4—24no—
192C13×C4⋊C4—24no—
193C13×C4⋊C4—24no—
194C13×C4⋊C4—24no—
195C13×C4⋊C4—22no—
196C13×C4⋊C4—22no—
197C13×C4⋊C4—21no—
198C13×C4⋊C4—21no—
199C13×C4⋊C4—21no—
200C13×C4⋊C4—21no—
201C13×C4⋊C4C2×D412yes—
202C13×C4⋊C4C2×D412yes—
203C13×C4⋊C4C2×D412yes—
204C13×C4⋊C4C2×D412yes—
205C13×C22⋊C4—24no—
206C13×C22⋊C4—22no—
207C13×C22⋊C4—22no—
208C42×C13—24no—
209C42×C13—21no—
210C42×C13—21no—
211C42×C13C2×D412yes—
212C42×C13C2×D412yes—
213C22⋊Dic13—42no—
214#6103—42no—
215#6103—42no—
216#6103—42no—
217#6103—81no—
218#6103—81no—
219C4⋊Dic13—21no—
220C4⋊Dic13—21no—
221C4⋊Dic13—21no—
222C4⋊Dic13—21no—
223C4⋊Dic13—81no—
224C4⋊Dic13—81no—
225#6101—42no—
226C2×#1055—21no—
227C2×#1055—21no—
228C2×#1055—21no—
229C2×#1055—21no—
230C2×#1055—21no—
231C2×#1055—21no—
232C2×#1055—21no—
233C2×#1055—21no—
234C2×#1055—21no—
235C2×#1055—21no—
236C2×#1055—21no—
237C2×#1055—21no—
238C2×#544D1311yescharacteristic, complemented
239C2×#489—131no—
240C2×#488—131no—
241#2620—131no—
242#2026—131no—
243#2025—131no—
244#2024—131no—
245#2023—131no—
246#1992—131no—
247#1990—131no—
248#1875—131no—
249#1874—131no—
250#1873—131no—
251#1872—131no—
252#1750—131no—
253C23×C13—21no—
254C23×C13—21no—
255C23×C13—21no—
256C23×C13—21no—
257C23×C13—21no—
258C23×C13—21no—
259C23×C13#12412yes—
260C23×C13C22×D411yescharacteristic
261C22×D13—41no—
262C22×D13—41no—
263C22×D13—41no—
264C22×D13—41no—
265C22×D13—41no—
266C22×D13—41no—
267C22×D13—41no—
268Q8×C13—84no—
269Q8×C13—84no—
270C2×C4×C13—21no—
271C2×C4×C13—21no—
272C2×C4×C13—21no—
273C2×C4×C13—21no—
274C2×C4×C13—21no—
275C2×C4×C13—21no—
276C2×C4×C13—22no—
277C2×C4×C13—22no—
278C2×C4×C13—22no—
279C2×C4×C13—22no—
280C2×C4×C13—21no—
281C2×C4×C13—22no—
282C2×C4×C13—21no—
283C2×C4×C13—22no—
284C2×C4×C13—22no—
285C2×C4×C13—22no—
286C2×C4×C13—21no—
287C2×C4×C13—21no—
288C2×C4×C13—21no—
289C2×C4×C13—21no—
290C2×C4×C13—41no—
291C2×C4×C13—41no—
292C2×C4×C13—41no—
293C2×C4×C13—41no—
294C2×C4×C13—41no—
295C2×C4×C13—41no—
296C2×C4×C13—41no—
297C2×C4×C13—41no—
298C2×C4×C13—84no—
299C2×C4×C13#12012yes—
300C2×C4×C13#12012yes—
301C2×C4×C13#12412yes—
302C2×C4×C13C22×D411yescharacteristic
303C2×C4×C13C22×D411yescharacteristic
304C2×C4×C13C2×#4111yescharacteristic
305C2×C4×C13C2×#4111yescharacteristic
306C2×C4×C132−1+411yescharacteristic
307C2×C4×C132−1+411yescharacteristic
308C22⋊D13—84no—
309C2×Dic13—41no—
310C2×Dic13—41no—
311C2×Dic13—41no—
312C2×Dic13—41no—
313C2×Dic13—41no—
314C2×Dic13—41no—
315C2×Dic13—41no—
316C2×Dic13—41no—
317C2×Dic13—41no—
318D52—41no—
319D52—41no—
320D52—41no—
321D52—41no—
322Dic26—41no—
323Dic26—41no—
324Dic26—41no—
325Dic26—41no—
326#1055—41no—
327#1055—41no—
328#1055—41no—
329#1055—41no—
330#544—24no—
331#544—24no—
332C2×C4⋊Q8—21no—
333C2×C4⋊Q8C2×D1311yescharacteristic
334C2×C4⋊Q8C2×D1311yescharacteristic
335C2×#125—21no—
336C2×#125C2×D1311yescharacteristic
337C2×#125C2×D1311yescharacteristic
338C2×#124—131no—
339C2×C22⋊Q8—21no—
340C2×C22⋊Q8—21no—
341C2×C22⋊Q8—131no—
342C2×#121—131no—
343C2×#117C2×D1311yescharacteristic
344C2×#117C2×D1311yescharacteristic
345C22×C4⋊C4C2×D1311yescharacteristic
346#489—264no—
347#488—264no—
348C2×#103—131no—
349C2×#103—131no—
350C2×#103—131no—
351C2×#103—131no—
352C2×#102—131no—
353C2×#102—131no—
354C2×#102—131no—
355C2×#102—131no—
356C2×C22⋊C8—131no—
357C2×C22⋊C8—131no—
358C2×#97—131no—
359C2×C4×C8—131no—
360#396—261no—
361#396—261no—
362#394—261no—
363#394—261no—
364#391—131no—
365#390—131no—
366#384—131no—
367#340—131no—
368#340—131no—
369#340—131no—
370#340—131no—
371#340—131no—
372#340—131no—
373#340—131no—
374#340—131no—
375#336—131no—
376#336—131no—
377C22×C13—22no—
378C22×C13—22no—
379C22×C13—22no—
380C22×C13—41no—
381C22×C13—41no—
382C22×C13—41no—
383C22×C13—41no—
384C22×C13C2×#12011yescharacteristic
385C22×C13C2×#12411yescharacteristic
386C22×C13#53611yescharacteristic
387C22×C13#57611yescharacteristic
388C22×C13#57711yescharacteristic
389C22×C13#57711yescharacteristic
390C22×C13#57811yescharacteristic
391C2×D13—81no—
392C2×D13—81no—
393C2×D13—81no—
394C2×D13—81no—
395C2×D13—81no—
396C2×D13—81no—
397C2×D13—81no—
398C4×C13—22no—
399C4×C13—22no—
400C4×C13—22no—
401C4×C13—41no—
402C4×C13—42no—
403C4×C13—42no—
404C4×C13—42no—
405C4×C13—41no—
406C4×C13—42no—
407C4×C13#54811yescharacteristic
408C4×C13#54811yescharacteristic
409C4×C13#54811yescharacteristic
410C4×C13#54811yescharacteristic
411Dic13—81no—
412Dic13—81no—
413Dic13—81no—
414C22×Q8—21no—
415C22×Q8—21no—
416C22×Q8—131no—
417C22×D4—131no—
418C22×D4—261no—
419C23×C4—21no—
420C23×C4C22×D1311yescharacteristic
421C22×C8—131no—
422C22×C8—131no—
423C22×C8—131no—
424C22×C8—131no—
425C4⋊Q8—28no—
426C4⋊Q8—22no—
427C4⋊Q8—22no—
428C4⋊Q8—22no—
429C4⋊Q8C22⋊D1314yescomplemented
430#125—28no—
431#125—22no—
432#125—22no—
433#125—22no—
434#125C22⋊D1314yescomplemented
435#124—262no—
436#124—262no—
437C22⋊Q8—28no—
438C22⋊Q8—28no—
439C22⋊Q8—262no—
440C22⋊Q8—262no—
441#121—262no—
442#121—262no—
443#117—22no—
444#117—22no—
445#117—22no—
446#117—22no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—22no—
455C2×C4⋊C4—22no—
456C2×C4⋊C4—131no—
457C2×C4⋊C4—131no—
458C2×C4⋊C4—261no—
459C2×C4⋊C4—261no—
460C2×C4⋊C4—261no—
461C2×C4⋊C4C22⋊D1311yescharacteristic
462C2×C4⋊C4C22⋊D1311yescharacteristic
463C2×C4⋊C4C22×D1311yescharacteristic
464C2×C4⋊C4C22×D1311yescharacteristic
465C2×C4⋊C4C22×D1311yescharacteristic
466C2×C4⋊C4C22×D1311yescharacteristic
467C2×C22⋊C4—21no—
468C2×C22⋊C4—261no—
469C2×C22⋊C4—261no—
470C2×C22⋊C4—261no—
471C2×C22⋊C4—261no—
472C2×C22⋊C4—261no—
473C2×C22⋊C4—261no—
474C2×C22⋊C4C22⋊D1311yescharacteristic
475C2×C22⋊C4C22⋊D1311yescharacteristic
476C2×C42—21no—
477C2×C42C22×D1311yescharacteristic
478C2×C42C22×D1311yescharacteristic
479#103—262no—
480#103—262no—
481#103—262no—
482#103—262no—
483#102—262no—
484#102—262no—
485#102—262no—
486#102—262no—
487C22⋊C8—262no—
488C22⋊C8—262no—
489#97—262no—
490C4×C8—262no—
491#95—261no—
492#95—261no—
493C2×C13—42no—
494C2×C13#243611yescharacteristic
495C2×C13#301211yescharacteristic
496C2×C13#301311yescharacteristic
497C2×C13#313611yescharacteristic
498C2×C13#313711yescharacteristic
499C2×C13#324311yescharacteristic
500C2×C13#324411yescharacteristic
501D13—161no—
502C24—261no—
503C24C2×C22⋊D1311yescharacteristic
504C2×Q8—24no—
505C2×Q8—24no—
506C2×Q8—81no—
507C2×Q8—81no—
508C2×Q8—81no—
509C2×Q8—81no—
510C2×Q8—261no—
511C2×Q8—261no—
512C2×Q8—261no—
513C2×Q8—261no—
514C2×Q8—261no—
515C2×Q8—261no—
516C2×D4—261no—
517C2×D4—261no—
518C2×D4—261no—
519C2×D4—261no—
520C2×D4—261no—
521C2×D4—261no—
522C2×D4—522no—
523C2×D4—1041no—
524C2×D4—1041no—
525C22×C4—21no—
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—81no—
535C22×C4—81no—
536C22×C4—261no—
537C22×C4—261no—
538C22×C4—261no—
539C22×C4#613112yes—
540C22×C4#613112yes—
541C22×C4C2×C22⋊D1311yescharacteristic
542C22×C4C2×C22⋊D1311yescharacteristic
543C22×C4C2×C22⋊D1311yescharacteristic
544C22×C4C2×C22⋊D1311yescharacteristic
545C22×C4C2×C22⋊D1311yescharacteristic
546C22×C4C23×D1311yescharacteristic
547C2×C8—261no—
548C2×C8—261no—
549C2×C8—261no—
550C2×C8—261no—
551C2×C8—261no—
552C2×C8—261no—
553C2×C8—261no—
554C2×C8—261no—
555C2×C8—261no—
556C2×C8—261no—
557C2×C8—261no—
558C2×C8—261no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—24no—
562C4⋊C4—24no—
563C4⋊C4—24no—
564C4⋊C4—24no—
565C4⋊C4—24no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—261no—
573C4⋊C4—261no—
574C4⋊C4—261no—
575C4⋊C4—261no—
576C4⋊C4—522no—
577C4⋊C4—1041no—
578C4⋊C4—1041no—
579C4⋊C4C2×C22⋊D1312yes—
580C4⋊C4C2×C22⋊D1312yes—
581C4⋊C4C2×C22⋊D1312yes—
582C4⋊C4C2×C22⋊D1312yes—
583C22⋊C4—24no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—522no—
587C22⋊C4—522no—
588C22⋊C4—522no—
589C22⋊C4—522no—
590C22⋊C4—1041no—
591C22⋊C4—1041no—
592C42—24no—
593C42—21no—
594C42—21no—
595C42C2×C22⋊D1312yes—
596C42C2×C22⋊D1312yes—
597C13#2591611yescharacteristic, complemented, Sylow
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—521no—
605C23—521no—
606C23—521no—
607C23—521no—
608C23—521no—
609C23—521no—
610C23—521no—
611C23#8820112yes—
612C23C22×C22⋊D1311yescharacteristic
613Q8—84no—
614Q8—84no—
615Q8—521no—
616Q8—521no—
617Q8—521no—
618Q8—521no—
619D4—521no—
620D4—521no—
621D4—521no—
622D4—521no—
623D4—1044no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—22no—
640C2×C4—21no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—84no—
653C2×C4—521no—
654C2×C4—521no—
655C2×C4—521no—
656C2×C4—521no—
657C2×C4—521no—
658C2×C4—521no—
659C2×C4—521no—
660C2×C4—521no—
661C2×C4—521no—
662C2×C4#8820112yes—
663C2×C4#8820712yes—
664C2×C4#8820712yes—
665C2×C4C2×#613111yescharacteristic
666C2×C4C2×#613111yescharacteristic
667C2×C4#8825411yescharacteristic
668C2×C4#8825411yescharacteristic
669C2×C4C22×C22⋊D1311yescharacteristic
670C2×C4C22×C22⋊D1311yescharacteristic
671C8—521no—
672C8—521no—
673C8—521no—
674C8—521no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—1041no—
683C22—1041no—
684C22—1041no—
685C22—1041no—
686C22—1041no—
687C22—1041no—
688C22—1041no—
689C22C2×#8820111yescharacteristic
690C22#1171952111yescharacteristic
691C22#1171954011yescharacteristic
692C22#1171954111yescharacteristic
693C22#1171954211yescharacteristic
694C22#1171954311yescharacteristic
695C22C2×#8820711yescharacteristic
696C4—22no—
697C4—22no—
698C4—22no—
699C4—41no—
700C4—42no—
701C4—42no—
702C4—42no—
703C4—41no—
704C4—42no—
705C4—1041no—
706C4—1041no—
707C4—1041no—
708C4#1171952211yescharacteristic
709C4#1171952211yescharacteristic
710C4#1171952211yescharacteristic
711C4#1171952211yescharacteristic
712C2—42no—
713C2—2081no—
714C2#1311849011yescharacteristic
715C2#1312414011yescharacteristic
716C2#1312415111yescharacteristic
717C2#1312519511yescharacteristic
718C2#1312520611yescharacteristic
719C2#1312611911yescharacteristic
720C2#1312613411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D13
commutator, cosocleC22×C4×C13C24
FrattiniC22×C4C23×D13
FittingC2×C13×#544C2
socleC23×C13C22×D4
prime radicalC2×#88184C22
hypercenterC2×#544D13
hypocenterC13#25916
LCSG ▷ C22×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#544

Complements

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

NH ≅ G/Ntype
1. C2×#11718750C2semidirect
2. C2×#11718729C2semidirect
4. #13115984C2semidirect
5. #13115979C2semidirect
6. #13115974C2semidirect
7. #13115969C2semidirect
8. #13115806C2semidirect
9. #13115798C2semidirect
12. #13115148C2semidirect
13. #13115143C2semidirect
14. #13114602C2semidirect
15. C2×C13×#544C2semidirect
74. C13×C4⋊Q8D4semidirect
79. C13×#125D4semidirect
238. C2×#544D13semidirect
429. C4⋊Q8C22⋊D13semidirect
434. #125C22⋊D13semidirect
597. C13#25916semidirect

Maximal subgroups

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

subgroupindex
C2×#117187502
C2×#117187292
#131205932
#131159842
#131159792
#131159742
#131159692
#131158062
#131157982
#131151582
#131151532
#131151482
#131151432
#131146022
C2×C13×#5442
#2591613