Finite Group Databasebeta

← #15869655

Subgroups — #15869655

Order 3328.

1066 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718700C211yesmaximal, characteristic
2C2×#11718675C211yesmaximal, characteristic, complemented
3C2×#11718658C211yesmaximal, characteristic, complemented
4#13117529C211yesmaximal, characteristic, complemented
5#13115701C211yesmaximal, characteristic, complemented
6#13115561C211yesmaximal, characteristic, complemented
7#13115536C211yesmaximal, characteristic, complemented
8#13115532C211yesmaximal, characteristic, complemented
9#13115265C211yesmaximal, characteristic, complemented
10#13115262C211yesmaximal, characteristic, complemented
11#13114867C211yesmaximal, characteristic, complemented
12#13114734C211yesmaximal, characteristic, complemented
13C4×#88049C211yesmaximal, characteristic, complemented
14C4×#88072C211yesmaximal, characteristic, complemented
15C13×#2324C211yesmaximal, characteristic, complemented
16C2×C13×#121C2211yescharacteristic
17C2×C4×D4×C13C2211yescharacteristic
18C2×C13×#117C2211yescharacteristic
19C22×#6104C2211yescharacteristic
20C2×#88184C2211yescharacteristic
21C22×#6099C2211yescharacteristic
22C23×#1055C2211yescharacteristic
23C2×C4×D52C2211yescharacteristic
24C13×#390—21no—
25C13×#390C2211yescharacteristic
26C13×#389C2211yescharacteristic
27C13×#388—21no—
28C13×#386—21no—
29C13×#385—21no—
30C13×#380C2211yescharacteristic
31C4×C13×C4⋊C4C2211yescharacteristic
32C2×#88072C2211yescharacteristic
33C2×#88072C2211yescharacteristic
34C2×#88072C2211yescharacteristic
35#11718873C2211yescharacteristic
36#11718700C418yescomplemented
37#11718675—24no—
38#11718658—24no—
39#11718651—21no—
40#11718650—21no—
41C2×#88049C2211yescharacteristic
42C2×#88049C2211yescharacteristic
43C2×#88049C2211yescharacteristic
44C2×#88048C2211yescharacteristic
45C2×#88048C2211yescharacteristic
46C2×#88047C2211yescharacteristic
47#11718618—21no—
48#11718617—21no—
49#11718600C2211yescharacteristic
50C4×C4⋊Dic13C2211yescharacteristic
51#11718589C2211yescharacteristic
52C2×#88043C2211yescharacteristic
53C2×#88043C2211yescharacteristic
54C2×C4×#1055C2211yescharacteristic
55C2×C4×#1055C2211yescharacteristic
56#11718121C2211yescharacteristic
57#11718121C2211yescharacteristic
58#11718121C2211yescharacteristic
59#11718121C2211yescharacteristic
60#11718121C2211yescharacteristic
61#11718121C2211yescharacteristic
62C22×D4×C13—21no—
63C22×D4×C13C2311yescharacteristic
64C23×C4×C13—21no—
65C23×C4×C13C2311yescharacteristic
66C22×C22⋊D13—21no—
67C22×D52C2311yescharacteristic
68C22×C4×D13—21no—
69C13×#121—22no—
70C13×#121C2×C414yescomplemented
71C4×D4×C13—22no—
72C4×D4×C13—22no—
73C13×#117—22no—
74C13×#117—22no—
75C2×C13×C4⋊C4—21no—
76C2×C13×C4⋊C4D411yescharacteristic
77C2×C13×C4⋊C4D411yescharacteristic
78C2×C13×C4⋊C4C2311yescharacteristic
79C2×C13×C4⋊C4C2311yescharacteristic
80C2×C13×C4⋊C4C2311yescharacteristic
81C2×C13×C22⋊C4—21no—
82C2×C13×C22⋊C4—21no—
83C2×C13×C22⋊C4—21no—
84C2×C13×C22⋊C4—21no—
85C2×C13×C22⋊C4—21no—
86C2×C13×C22⋊C4D411yescharacteristic
87C2×C13×C22⋊C4D411yescharacteristic
88C2×C42×C13—21no—
89C2×C42×C13C2311yescharacteristic
90C2×C42×C13C2311yescharacteristic
91C2×C22⋊Dic13—21no—
92C2×#6104—22no—
93C2×#6104—22no—
94C2×#6104C2×C414yes—
95#88184—22no—
96#88184C2×C414yescomplemented
97C2×#6103—21no—
98C2×#6103—21no—
99C2×#6103—21no—
100C2×#6103—21no—
101C2×C4⋊Dic13C2311yescharacteristic
102C2×C4⋊Dic13C2311yescharacteristic
103C2×C4⋊Dic13C2311yescharacteristic
104C2×#6101—21no—
105C2×C4×Dic13—21no—
106C2×#6099—22no—
107C2×#6099—22no—
108C2×#6099C2×C414yescomplemented
109C22×#1055—22no—
110C22×#1055—22no—
111C22×#1055—22no—
112C22×#1055C2311yescharacteristic
113C22×#1055C2311yescharacteristic
114C22×#1055C2311yescharacteristic
115C22×#1055C2311yescharacteristic
116C4×D52—22no—
117C4×D52—22no—
118C13×#95—21no—
119C13×#95—21no—
120C13×#95—21no—
121#88072—22no—
122#88072—22no—
123#88072C2×C414yescomplemented
124#88071—21no—
125#88071—21no—
126#88071—21no—
127#88049—22no—
128#88049—22no—
129#88049C2×C414yescomplemented
130#88048—22no—
131#88048C2×C414yescomplemented
132#88047—22no—
133#88043—22no—
134#88043D414yescomplemented
135C4×#1055—22no—
136C4×#1055—22no—
137#21541—131nomaximal, Sylow
138C24×C13—21no—
139C24×C13C2×D411yescharacteristic
140C23×D13—21no—
141C2×D4×C13—24no—
142C2×D4×C13—21no—
143C2×D4×C13—21no—
144C2×D4×C13—21no—
145C2×D4×C13—21no—
146C2×D4×C13—21no—
147C2×D4×C13—81no—
148C2×D4×C13—81no—
149C2×D4×C13C22×C412yes—
150C22×C4×C13—21no—
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—42no—
158C22×C4×C13—81no—
159C22×C4×C13—81no—
160C22×C4×C13C22×C412yes—
161C22×C4×C13C2×D411yescharacteristic
162C22×C4×C13C2×D411yescharacteristic
163C22×C4×C13C2×D411yescharacteristic
164C22×C4×C13C2×D411yescharacteristic
165C22×C4×C13C2×D411yescharacteristic
166C22×C4×C13#4112yes—
167C22×C4×C13C2411yescharacteristic
168C2×C22⋊D13—24no—
169C2×C22⋊D13—81no—
170C2×C22⋊D13—81no—
171C22×Dic13—21no—
172C22×Dic13—21no—
173C22×Dic13—21no—
174C2×D52—21no—
175C2×D52—21no—
176C2×D52—21no—
177C2×D52—21no—
178C2×D52—21no—
179C2×D52C22×C412yes—
180C2×C4×D13—42no—
181C2×C4×D13—81no—
182C2×C4×D13—81no—
183C13×C4⋊C4—22no—
184C13×C4⋊C4—22no—
185C13×C4⋊C4—21no—
186C13×C4⋊C4—21no—
187C13×C4⋊C4—21no—
188C13×C4⋊C4—21no—
189C13×C4⋊C4—21no—
190C13×C4⋊C4—81no—
191C13×C4⋊C4C22×C412yes—
192C13×C22⋊C4—24no—
193C13×C22⋊C4—22no—
194C13×C22⋊C4—22no—
195C13×C22⋊C4—42no—
196C13×C22⋊C4—81no—
197C13×C22⋊C4—81no—
198C13×C22⋊C4—81no—
199C42×C13—21no—
200C42×C13—21no—
201C42×C13—81no—
202C42×C13C2×D412yes—
203C42×C13#4112yes—
204C22⋊Dic13—81no—
205#6104—28no—
206#6103—24no—
207#6103—42no—
208#6103—81no—
209#6103—81no—
210C4⋊Dic13—21no—
211C4⋊Dic13—21no—
212C4⋊Dic13—21no—
213C4⋊Dic13—21no—
214C4⋊Dic13—21no—
215C4⋊Dic13C22×C412yes—
216#6101—81no—
217C4×Dic13—81no—
218#6099—28no—
219C2×#1055—28no—
220C2×#1055—21no—
221C2×#1055—21no—
222C2×#1055—21no—
223C2×#1055—21no—
224C2×#1055—21no—
225C2×#1055—21no—
226C2×#1055C22×C412yes—
227C2×#1055C22×C412yes—
228C2×#1055C2×D412yes—
229C2×#1055C2×D412yes—
230C2×#1055#4112yes—
231C2×#1055#4112yes—
232C2×#469—131no—
233C2×#442—131no—
234C2×#405—131no—
235#2324—131no—
236#2324D1311yescharacteristic, complemented
237#1970—131no—
238#1941—131no—
239#1936—131no—
240#1936—131no—
241#1893—131no—
242#1893—131no—
243#1809—131no—
244#1776—131no—
245C4×#102—131no—
246C4×#102—131no—
247C23×C13—21no—
248C23×C13—21no—
249C23×C13—21no—
250C23×C13—21no—
251C23×C13—21no—
252C23×C13—21no—
253C23×C13—22no—
254C23×C13—41no—
255C23×C13—41no—
256C23×C13—41no—
257C23×C13—41no—
258C23×C13—41no—
259C23×C13—41no—
260C23×C13C4×D412yes—
261C23×C13C22×D411yescharacteristic
262C22×D13—22no—
263C22×D13—41no—
264C22×D13—41no—
265C22×D13—41no—
266C22×D13—41no—
267C22×D13—41no—
268C22×D13—41no—
269D4×C13—22no—
270D4×C13—22no—
271D4×C13—41no—
272D4×C13—41no—
273D4×C13—84no—
274C2×C4×C13—21no—
275C2×C4×C13—21no—
276C2×C4×C13—21no—
277C2×C4×C13—21no—
278C2×C4×C13—21no—
279C2×C4×C13—21no—
280C2×C4×C13—22no—
281C2×C4×C13—22no—
282C2×C4×C13—22no—
283C2×C4×C13—22no—
284C2×C4×C13—22no—
285C2×C4×C13—21no—
286C2×C4×C13—21no—
287C2×C4×C13—21no—
288C2×C4×C13—21no—
289C2×C4×C13—21no—
290C2×C4×C13—21no—
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—41no—
299C2×C4×C13—84no—
300C2×C4×C13C4×D412yes—
301C2×C4×C13#12112yes—
302C2×C4×C13#12112yes—
303C2×C4×C13C23×C411yescharacteristic
304C2×C4×C13C22×D411yescharacteristic
305C2×C4×C13C2×#4111yescharacteristic
306C2×C4×C13C2×#4111yescharacteristic
307C2×C4×C13C2×#4111yescharacteristic
308C2×C4×C13C2×#4111yescharacteristic
309C22⋊D13—84no—
310C2×Dic13—22no—
311C2×Dic13—41no—
312C2×Dic13—41no—
313C2×Dic13—41no—
314C2×Dic13—41no—
315C2×Dic13—41no—
316C2×Dic13—41no—
317C2×Dic13—41no—
318C2×Dic13—41no—
319D52—22no—
320D52—22no—
321D52—41no—
322D52—41no—
323C4×D13—84no—
324#1055—22no—
325#1055—22no—
326#1055—22no—
327#1055C4×D414yes—
328C22×D8—131no—
329C22×M16—131no—
330C23×C8—131no—
331C2×#121—131no—
332C2×#121C2×D1311yescharacteristic
333C2×C4×D4—131no—
334C2×C4×D4C2×D1311yescharacteristic
335C2×#117C2×D1311yescharacteristic
336#469—138no—
337#442—264no—
338C2×#107—131no—
339C2×#106—131no—
340C2×#106—131no—
341C2×#102—131no—
342C2×#102—131no—
343C2×#102—131no—
344C2×#102—131no—
345C2×#102—131no—
346C2×#102—131no—
347#405—264no—
348C2×#97—131no—
349C2×#97—131no—
350C2×C4×C8—131no—
351C2×C4×C8—131no—
352#390—21no—
353#390—131no—
354#390—261no—
355#390C2×D1311yescharacteristic
356#389—131no—
357#389C2×D1311yescharacteristic
358#388—21no—
359#388—261no—
360#386—21no—
361#386—261no—
362#385—21no—
363#385—261no—
364#380—131no—
365#380C2×D1311yescharacteristic
366C4×C4⋊C4—131no—
367C4×C4⋊C4C2×D1311yescharacteristic
368#340—131no—
369#340—131no—
370#340—131no—
371#340—131no—
372#340—131no—
373#340—131no—
374C22×C13—22no—
375C22×C13—22no—
376C22×C13—22no—
377C22×C13—41no—
378C22×C13—41no—
379C22×C13—41no—
380C22×C13—41no—
381C22×C13—42no—
382C22×C13—42no—
383C22×C13—42no—
384C22×C13—81no—
385C22×C13—81no—
386C22×C13—81no—
387C22×C13—81no—
388C22×C13C2×C4×D411yescharacteristic
389C22×C13C2×#12111yescharacteristic
390C22×C13#53211yescharacteristic
391C22×C13#57611yescharacteristic
392C22×C13#57611yescharacteristic
393C22×C13#57711yescharacteristic
394C22×C13#57711yescharacteristic
395C2×D13—42no—
396C2×D13—42no—
397C2×D13—42no—
398C2×D13—81no—
399C2×D13—81no—
400C2×D13—81no—
401C2×D13—81no—
402C4×C13—22no—
403C4×C13—22no—
404C4×C13—22no—
405C4×C13—42no—
406C4×C13—41no—
407C4×C13—41no—
408C4×C13—81no—
409C4×C13—81no—
410C4×C13C2×C4×D411yescharacteristic
411C4×C13C4×#4111yescharacteristic
412C4×C13#52511yescharacteristic
413C4×C13#52911yescharacteristic
414Dic13—42no—
415Dic13—81no—
416Dic13—81no—
417C22×D4—21no—
418C22×D4—131no—
419C22×D4—261no—
420C22×D4C22×D1311yescharacteristic
421C23×C4—21no—
422C23×C4—261no—
423C23×C4C22×D1311yescharacteristic
424C2×D8—134no—
425C2×D8—262no—
426C2×D8—262no—
427C2×M16—134no—
428C2×M16—262no—
429C2×M16—262no—
430C22×C8—131no—
431C22×C8—131no—
432C22×C8—131no—
433C22×C8—131no—
434C22×C8—262no—
435C22×C8—262no—
436C22×C8—262no—
437#121—22no—
438#121—134no—
439#121—262no—
440#121C4×D1314yescomplemented
441C4×D4—22no—
442C4×D4—22no—
443C4×D4—262no—
444C4×D4—262no—
445#117—22no—
446#117—22no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—131no—
449C2×C4⋊C4—131no—
450C2×C4⋊C4—131no—
451C2×C4⋊C4—261no—
452C2×C4⋊C4C22⋊D1311yescharacteristic
453C2×C4⋊C4C22⋊D1311yescharacteristic
454C2×C4⋊C4C22×D1311yescharacteristic
455C2×C4⋊C4C22×D1311yescharacteristic
456C2×C4⋊C4C22×D1311yescharacteristic
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—21no—
460C2×C22⋊C4—21no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—261no—
463C2×C22⋊C4—261no—
464C2×C22⋊C4—261no—
465C2×C22⋊C4—261no—
466C2×C22⋊C4—261no—
467C2×C22⋊C4C22⋊D1311yescharacteristic
468C2×C22⋊C4C22⋊D1311yescharacteristic
469C2×C42—21no—
470C2×C42—261no—
471C2×C42C22×D1311yescharacteristic
472C2×C42C22×D1311yescharacteristic
473#107—262no—
474#106—134no—
475#106—262no—
476#102—134no—
477#102—134no—
478#102—262no—
479#102—262no—
480#102—262no—
481#102—262no—
482#97—134no—
483#97—262no—
484C4×C8—262no—
485C4×C8—262no—
486#95—21no—
487#95—21no—
488#95—21no—
489#95—261no—
490#95—261no—
491#95—261no—
492C2×C13—42no—
493C2×C13—82no—
494C2×C13C4×#12111yescharacteristic
495C2×C13#294611yescharacteristic
496C2×C13#294611yescharacteristic
497C2×C13#306211yescharacteristic
498C2×C13#306211yescharacteristic
499C2×C13#317311yescharacteristic
500C2×C13#317611yescharacteristic
501D13—82no—
502C24—21no—
503C24—261no—
504C24C2×C22⋊D1311yescharacteristic
505C2×D4—24no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—81no—
512C2×D4—81no—
513C2×D4—132no—
514C2×D4—264no—
515C2×D4—261no—
516C2×D4—261no—
517C2×D4—261no—
518C2×D4—261no—
519C2×D4—261no—
520C2×D4—1041no—
521C2×D4—1041no—
522C2×D4C2×C4×D1312yes—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—42no—
531C22×C4—81no—
532C22×C4—81no—
533C22×C4—261no—
534C22×C4—261no—
535C22×C4—261no—
536C22×C4—522no—
537C22×C4—1041no—
538C22×C4—1041no—
539C22×C4C2×C4×D1312yes—
540C22×C4#612712yes—
541C22×C4C2×C22⋊D1311yescharacteristic
542C22×C4C2×C22⋊D1311yescharacteristic
543C22×C4C2×C22⋊D1311yescharacteristic
544C22×C4C2×C22⋊D1311yescharacteristic
545C22×C4C2×C22⋊D1311yescharacteristic
546C22×C4C23×D1311yescharacteristic
547D8—268no—
548M16—268no—
549C2×C8—132no—
550C2×C8—132no—
551C2×C8—132no—
552C2×C8—132no—
553C2×C8—132no—
554C2×C8—132no—
555C2×C8—268no—
556C2×C8—261no—
557C2×C8—261no—
558C2×C8—261no—
559C2×C8—261no—
560C2×C8—261no—
561C2×C8—261no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—81no—
570C4⋊C4—132no—
571C4⋊C4—261no—
572C4⋊C4—261no—
573C4⋊C4—261no—
574C4⋊C4—261no—
575C4⋊C4—261no—
576C4⋊C4—1041no—
577C4⋊C4C2×C4×D1312yes—
578C22⋊C4—24no—
579C22⋊C4—22no—
580C22⋊C4—22no—
581C22⋊C4—42no—
582C22⋊C4—81no—
583C22⋊C4—81no—
584C22⋊C4—81no—
585C22⋊C4—264no—
586C22⋊C4—522no—
587C22⋊C4—1041no—
588C22⋊C4—1041no—
589C22⋊C4—1041no—
590C42—21no—
591C42—21no—
592C42—81no—
593C42—1041no—
594C42D4×D1312yes—
595C42#612912yes—
596C13#2154111yescharacteristic, complemented, Sylow
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—22no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—262no—
611C23—521no—
612C23—521no—
613C23—521no—
614C23—521no—
615C23—521no—
616C23—521no—
617C23C4×C22⋊D1312yes—
618C23C22×C22⋊D1311yescharacteristic
619D4—22no—
620D4—22no—
621D4—41no—
622D4—41no—
623D4—84no—
624D4—262no—
625D4—262no—
626D4—521no—
627D4—521no—
628D4—1044no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—84no—
655C2×C4—262no—
656C2×C4—521no—
657C2×C4—521no—
658C2×C4—521no—
659C2×C4—521no—
660C2×C4—521no—
661C2×C4—521no—
662C2×C4—521no—
663C2×C4—521no—
664C2×C4—1044no—
665C2×C4C4×C22⋊D1312yes—
666C2×C4#8819312yes—
667C2×C4#8819312yes—
668C2×C4C22×C4×D1311yescharacteristic
669C2×C4C2×#612711yescharacteristic
670C2×C4C2×D4×D1311yescharacteristic
671C2×C4C2×#612911yescharacteristic
672C2×C4#41×D1311yescharacteristic
673C2×C4#41×D1311yescharacteristic
674C8—134no—
675C8—262no—
676C8—262no—
677C8—262no—
678C22—22no—
679C22—22no—
680C22—22no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22—81no—
689C22—81no—
690C22—81no—
691C22—81no—
692C22—522no—
693C22—522no—
694C22—522no—
695C22—1041no—
696C22—1041no—
697C22—1041no—
698C22—1041no—
699C22C2×C4×C22⋊D1311yescharacteristic
700C22C2×#8819311yescharacteristic
701C22#1171953711yescharacteristic
702C22#1171954011yescharacteristic
703C22#1171954011yescharacteristic
704C22#1171954111yescharacteristic
705C22#1171954211yescharacteristic
706C4—22no—
707C4—22no—
708C4—22no—
709C4—42no—
710C4—41no—
711C4—41no—
712C4—81no—
713C4—81no—
714C4—522no—
715C4—1041no—
716C4—1041no—
717C4C4×#612911yescharacteristic
718C4#1171924311yescharacteristic
719C4C4×D4×D1311yescharacteristic
720C4#1171925211yescharacteristic
721C2—42no—
722C2—82no—
723C2—1042no—
724C2C4×#8819311yescharacteristic
725C2#1312366411yescharacteristic
726C2#1312366811yescharacteristic
727C2#1312451211yescharacteristic
728C2#1312451811yescharacteristic
729C2#1312544711yescharacteristic
730C2#1312548011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D13
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC13×#2324C2
socleC23×C13C22×D4
prime radicalC2×#11718700C2
cosocleC22×C4×C13C24
hypercenter#2324D13
hypocenterC13#21541
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2324

Complements

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

NH ≅ G/Ntype
2. C2×#11718675C2semidirect
3. C2×#11718658C2semidirect
4. #13117529C2semidirect
5. #13115701C2semidirect
6. #13115561C2semidirect
7. #13115536C2semidirect
8. #13115532C2semidirect
9. #13115265C2semidirect
10. #13115262C2semidirect
11. #13114867C2semidirect
12. #13114734C2semidirect
13. C4×#88049C2semidirect
14. C4×#88072C2semidirect
15. C13×#2324C2semidirect
36. #11718700C4semidirect
70. C13×#121C2×C4semidirect
96. #88184C2×C4semidirect
108. C2×#6099C2×C4semidirect
123. #88072C2×C4semidirect
129. #88049C2×C4semidirect
131. #88048C2×C4semidirect
134. #88043D4semidirect
236. #2324D13semidirect
440. #121C4×D13semidirect
596. C13#21541semidirect

Maximal subgroups

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

subgroupindex
C2×#117187002
C2×#117186752
C2×#117186582
#131175292
#131157012
#131155612
#131155362
#131155322
#131152652
#131152622
#131148672
#131147342
C4×#880492
C4×#880722
C13×#23242
#2154113