Finite Group Databasebeta

← #15860573

Subgroups — #15860573

Order 3328.

1834 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719250C211yesmaximal, characteristic
2C2×D13×#99C212yesmaximal
3#13117188C212yesmaximal, complemented
4#99×Dic13C212yesmaximal, complemented
5C4×#88046C212yesmaximal, complemented
6C4×#88074C211yesmaximal, characteristic, complemented
7#13114623C212yesmaximal, complemented
8D13×#342C212yesmaximal, complemented
9C4×C13×#99C211yesmaximal, characteristic, complemented
10C22×D4×D13C2211yescharacteristic
11C2×C4×D4×C13C2211yescharacteristic
12C2×D4×Dic13C2211yescharacteristic
13C2×C4×C22⋊D13C411yescharacteristic, complemented
14C2×C4×C22⋊D13C2211yescharacteristic
15C22×#6103C411yescharacteristic, complemented
16C22×#6103C2211yescharacteristic
17#11719250—24no—
18#11719250—24no—
19C2×#88147C411yescharacteristic, complemented
20C2×#88146C411yescharacteristic, complemented
21C2×#88135C411yescharacteristic, complemented
22C2×#88135C2211yescharacteristic
23C2×C22⋊C4×D13C411yescharacteristic, complemented
24C2×C22⋊C4×D13C2211yescharacteristic
25C2×C22⋊C4×D13C2214yes—
26C2×C4×D52C411yescharacteristic, complemented
27C2×#88126C411yescharacteristic, complemented
28C2×C13×#99C2212yes—
29C4×C13×C22⋊C4C2212yescomplemented
30C2×#88074C2212yes—
31C4×C22⋊Dic13C2212yescomplemented
32C2×#88046C2214yes—
33C22⋊C4×Dic13C2214yescomplemented
34C4×#6103—24no—
35D13×#99C4116yescomplemented
36#11718327—24no—
37C13×#342C2212yescomplemented
38#11718119C2214yescomplemented
39#11718118C2212yescomplemented
40C24×D13C2×C411yescharacteristic
41C24×D13C2311yescharacteristic
42C22×D4×C13C2311yescharacteristic
43C23×C4×C13C2×C411yescharacteristic, complemented
44C23×C4×C13C2311yescharacteristic
45C22×C22⋊D13C2×C411yescharacteristic
46C22×C22⋊D13C2311yescharacteristic
47C23×Dic13C2×C411yescharacteristic, complemented
48C23×Dic13C2311yescharacteristic
49C2×D4×D13—24no—
50C2×D4×D13—24no—
51C2×D4×D13C2×C418yes—
52C22×D52C2×C411yescharacteristic
53C22×C4×D13—24no—
54C22×C4×D13C2×C411yescharacteristic
55C22×C4×D13C2×C411yescharacteristic
56C22×C4×D13C2×C411yescharacteristic
57C22×C4×D13C2×C411yescharacteristic, complemented
58C22×C4×D13C2×C411yescharacteristic, complemented
59C4×D4×C13—22no—
60C4×D4×C13—22no—
61C2×C13×C4⋊C4C2×C411yescharacteristic, complemented
62C2×C13×C22⋊C4C2×C411yescharacteristic, complemented
63C2×C13×C22⋊C4C2311yescharacteristic
64C2×C13×C22⋊C4C2314yes—
65C2×C42×C13—22no—
66C2×C42×C13C2×C411yescharacteristic, complemented
67C2×C22⋊Dic13C2×C411yescharacteristic, complemented
68C2×C22⋊Dic13C2311yescharacteristic
69C2×C22⋊Dic13C2314yes—
70D4×Dic13—24no—
71C4×C22⋊D13—22no—
72C4×C22⋊D13—22no—
73C4×C22⋊D13—22no—
74C4×C22⋊D13—22no—
75C2×#6103—24no—
76C2×#6103—22no—
77C2×#6103—22no—
78C2×#6103C2×C411yescharacteristic
79C2×#6103C2×C411yescharacteristic
80C2×#6103C2×C411yescharacteristic
81C2×#6103C2×C411yescharacteristic
82C2×#6103C2×C411yescharacteristic
83C2×#6103C2×C411yescharacteristic
84C2×#6103C2×C411yescharacteristic, complemented
85C2×#6103C2×C411yescharacteristic, complemented
86C2×#6103D414yes—
87C2×#6103D414yes—
88C2×C4⋊Dic13C2×C411yescharacteristic, complemented
89C2×#6101C2×C411yescharacteristic, complemented
90C2×#6101C2×C411yescharacteristic, complemented
91C2×C4×Dic13—22no—
92C2×C4×Dic13—24no—
93C2×C4×Dic13C2×C411yescharacteristic, complemented
94C2×C4×Dic13C2×C411yescharacteristic, complemented
95C2×C4×Dic13C2×C411yescharacteristic, complemented
96#88147—24no—
97#88146—24no—
98#88135—24no—
99#88135—24no—
100C22⋊C4×D13—24no—
101C22⋊C4×D13—28no—
102C22⋊C4×D13—24no—
103C22⋊C4×D13C2×C4116yescomplemented
104C4×D52—22no—
105C4×D52—22no—
106#88126—22no—
107#88126—22no—
108C13×#99C2×C418yescomplemented
109C13×#95—22no—
110#88074C2×C418yescomplemented
111#88071—22no—
112#88071—24no—
113#88046C2×C4116yescomplemented
114#20392—131nomaximal, Sylow
115C24×C13C22×C411yescharacteristic
116C24×C13C2411yescharacteristic
117C23×D13—22no—
118C23×D13—22no—
119C23×D13—81no—
120C23×D13—81no—
121C23×D13—81no—
122C23×D13—81no—
123C23×D13C4214yescomplemented
124C23×D13C22×C411yescharacteristic
125C23×D13C22×C411yescharacteristic
126C23×D13C22×C411yescharacteristic
127C23×D13C22×C414yes—
128C23×D13C2×D414yes—
129C23×D13#4114yes—
130C2×D4×C13—22no—
131C2×D4×C13—22no—
132C2×D4×C13C22×C414yes—
133C22×C4×C13—24no—
134C22×C4×C13—21no—
135C22×C4×C13—21no—
136C22×C4×C13—81no—
137C22×C4×C13—81no—
138C22×C4×C13C22×C411yescharacteristic
139C22×C4×C13C22×C411yescharacteristic
140C22×C4×C13C22×C411yescharacteristic
141C22×C4×C13C22×C411yescharacteristic
142C22×C4×C13C22×C411yescharacteristic
143C22×C4×C13C2×D412yes—
144C22×C4×C13C2×D412yes—
145C2×C22⋊D13—22no—
146C2×C22⋊D13—22no—
147C2×C22⋊D13—22no—
148C2×C22⋊D13—22no—
149C2×C22⋊D13C4214yescomplemented
150C2×C22⋊D13C22×C414yes—
151C22×Dic13—24no—
152C22×Dic13—22no—
153C22×Dic13—81no—
154C22×Dic13—81no—
155C22×Dic13C22×C411yescharacteristic
156C22×Dic13C22×C411yescharacteristic
157C22×Dic13C22×C411yescharacteristic
158C22×Dic13C22×C411yescharacteristic
159C22×Dic13C22×C411yescharacteristic
160C22×Dic13C2×D414yes—
161D4×D13—216no—
162D4×D13—216no—
163C2×D52—22no—
164C2×D52—22no—
165C2×D52C4214yescomplemented
166C2×C4×D13—22no—
167C2×C4×D13—22no—
168C2×C4×D13—22no—
169C2×C4×D13—22no—
170C2×C4×D13—216no—
171C2×C4×D13—22no—
172C2×C4×D13—22no—
173C2×C4×D13—84no—
174C2×C4×D13—84no—
175C2×C4×D13—81no—
176C2×C4×D13—81no—
177C2×C4×D13—81no—
178C2×C4×D13—81no—
179C2×C4×D13C4214yescomplemented
180C13×C4⋊C4—22no—
181C13×C22⋊C4—22no—
182C13×C22⋊C4—24no—
183C13×C22⋊C4—22no—
184C13×C22⋊C4C22×C418yes—
185C42×C13—21no—
186C42×C13—21no—
187C42×C13—82no—
188C22⋊Dic13—22no—
189C22⋊Dic13—24no—
190C22⋊Dic13—22no—
191C22⋊Dic13C22×C418yes—
192#6103—22no—
193#6103—22no—
194#6103—216no—
195#6103—21no—
196#6103—21no—
197#6103—22no—
198#6103C22⋊C412yes—
199#6103C22⋊C412yes—
200#6103C22⋊C412yes—
201#6103C22⋊C412yes—
202#6103C22⋊C414yes—
203#6103C22⋊C414yes—
204C4⋊Dic13—22no—
205#6101—21no—
206#6101—21no—
207#6101—22no—
208C4×Dic13—22no—
209C4×Dic13—22no—
210C4×Dic13—22no—
211C4×Dic13—84no—
212C4×Dic13—82no—
213C2×#518—131no—
214C22×#99—132no—
215#2273—132no—
216C4×#99—132no—
217C4×#99—132no—
218C4×#99—132no—
219C4×#99—131no—
220C4×#99D1311yescharacteristic, complemented
221C2×#342—132no—
222C23×C13—21no—
223C23×C13—21no—
224C23×C13—41no—
225C23×C13—41no—
226C23×C13—41no—
227C23×C13—41no—
228C23×C13C2×C4212yes—
229C23×C13C23×C411yescharacteristic
230C23×C13C23×C412yes—
231C23×C13C22×D412yes—
232C23×C13C2×#4112yes—
233C22×D13—21no—
234C22×D13—21no—
235C22×D13—28no—
236C22×D13—41no—
237C22×D13—41no—
238C22×D13—44no—
239C22×D13—44no—
240C22×D13—41no—
241C22×D13—41no—
242C22×D13—41no—
243C22×D13—41no—
244C22×D13—82no—
245C22×D13—82no—
246C22×D13—84no—
247C22×D13—84no—
248C22×D13—84no—
249C22×D13—84no—
250C22×D13C2×C4212yes—
251C22×D13C2×C4212yes—
252C22×D13C2×C4212yes—
253C22×D13C2×C22⋊C412yes—
254C22×D13C2×C22⋊C412yes—
255C22×D13#11712yes—
256C22×D13#11712yes—
257C22×D13C4×D418yes—
258C22×D13C4×D418yes—
259D4×C13—28no—
260C2×C4×C13—21no—
261C2×C4×C13—21no—
262C2×C4×C13—21no—
263C2×C4×C13—21no—
264C2×C4×C13—28no—
265C2×C4×C13—42no—
266C2×C4×C13—42no—
267C2×C4×C13—41no—
268C2×C4×C13—41no—
269C2×C4×C13—44no—
270C2×C4×C13—44no—
271C2×C4×C13—41no—
272C2×C4×C13—41no—
273C2×C4×C13—81no—
274C2×C4×C13—81no—
275C2×C4×C13C2×C4212yes—
276C2×C4×C13C2×C22⋊C412yes—
277C2×C4×C13C2×C22⋊C411yescharacteristic
278C2×C4×C13C2×C22⋊C411yescharacteristic
279C22⋊D13—28no—
280C22⋊D13—28no—
281C2×Dic13—21no—
282C2×Dic13—21no—
283C2×Dic13—21no—
284C2×Dic13—21no—
285C2×Dic13—28no—
286C2×Dic13—44no—
287C2×Dic13—41no—
288C2×Dic13—41no—
289C2×Dic13—44no—
290C2×Dic13—44no—
291C2×Dic13—41no—
292C2×Dic13—41no—
293C2×Dic13—82no—
294C2×Dic13C2×C4212yes—
295C2×Dic13C2×C22⋊C412yes—
296C2×Dic13C2×C22⋊C412yes—
297D52—28no—
298C4×D13—28no—
299C4×D13—82no—
300C4×D13—82no—
301C4×D13—82no—
302C4×D13—82no—
303C4×D13—816no—
304C23×D4—131no—
305#518—264no—
306#518—264no—
307C2×C4×D4—131no—
308C2×C4×D4—131no—
309C2×C4×D4—131no—
310C2×C4×D4—131no—
311C2×C4×D4—131no—
312C2×C4×D4—131no—
313C2×C4×D4—131no—
314C2×C4×D4C2×D1311yescharacteristic
315C2×#117—131no—
316C2×#117—131no—
317C22×C22⋊C4—131no—
318C22×C22⋊C4—134no—
319C22×C22⋊C4—131no—
320C22×C22⋊C4—131no—
321C22×C22⋊C4—131no—
322C2×#99—132no—
323C2×#99—134no—
324C2×#99—1316no—
325C2×#99C2×D1312yes—
326C4×C22⋊C4—132no—
327C4×C22⋊C4—134no—
328C4×C22⋊C4—264no—
329C4×C22⋊C4—264no—
330C4×C22⋊C4C2×D1312yescomplemented
331#342—132no—
332#342—134no—
333#342C2×D1312yescomplemented
334C22×C13—22no—
335C22×C13—21no—
336C22×C13—22no—
337C22×C13—21no—
338C22×C13—22no—
339C22×C13—42no—
340C22×C13—42no—
341C22×C13—42no—
342C22×C13—42no—
343C22×C13—41no—
344C22×C13—41no—
345C22×C13C22×C4211yescharacteristic
346C22×C13C22×C22⋊C411yescharacteristic
347C22×C13C2×#11711yescharacteristic
348C22×C13C2×C4×D414yes—
349C2×D13—22no—
350C2×D13—22no—
351C2×D13—22no—
352C2×D13—22no—
353C2×D13—22no—
354C2×D13—48no—
355C2×D13—42no—
356C2×D13—42no—
357C2×D13—42no—
358C2×D13—42no—
359C2×D13—48no—
360C2×D13—42no—
361C2×D13—41no—
362C2×D13—41no—
363C2×D13—42no—
364C2×D13—88no—
365C2×D13C4×C22⋊C414yes—
366C2×D13C4×C22⋊C414yes—
367C4×C13—22no—
368C4×C13—21no—
369C4×C13—21no—
370C4×C13—22no—
371C4×C13—48no—
372C4×C13—41no—
373C4×C13—41no—
374Dic13—22no—
375Dic13—22no—
376Dic13—22no—
377Dic13—48no—
378Dic13—41no—
379Dic13—41no—
380C25—131no—
381C25—131no—
382C22×D4—131no—
383C22×D4—131no—
384C22×D4—138no—
385C22×D4—131no—
386C22×D4—264no—
387C22×D4—264no—
388C22×D4C22×D1311yescharacteristic
389C23×C4—131no—
390C23×C4—131no—
391C23×C4—131no—
392C23×C4—131no—
393C23×C4—131no—
394C23×C4—131no—
395C23×C4—131no—
396C23×C4—264no—
397C23×C4C4×D1311yescharacteristic, complemented
398C23×C4C22×D1311yescharacteristic
399C4×D4—22no—
400C4×D4—22no—
401C4×D4—262no—
402C4×D4—262no—
403C4×D4—264no—
404C4×D4—264no—
405C4×D4—264no—
406C4×D4—262no—
407C4×D4—262no—
408C4×D4—264no—
409C4×D4—262no—
410C4×D4—262no—
411#117—262no—
412#117—262no—
413#117—264no—
414C2×C4⋊C4—131no—
415C2×C4⋊C4—131no—
416C2×C4⋊C4—131no—
417C2×C4⋊C4C4×D1311yescharacteristic, complemented
418C2×C22⋊C4—131no—
419C2×C22⋊C4—131no—
420C2×C22⋊C4—131no—
421C2×C22⋊C4—131no—
422C2×C22⋊C4—134no—
423C2×C22⋊C4—134no—
424C2×C22⋊C4—134no—
425C2×C22⋊C4—1316no—
426C2×C22⋊C4—131no—
427C2×C22⋊C4—131no—
428C2×C22⋊C4—131no—
429C2×C22⋊C4—131no—
430C2×C22⋊C4—131no—
431C2×C22⋊C4—131no—
432C2×C22⋊C4—264no—
433C2×C22⋊C4—264no—
434C2×C22⋊C4—268no—
435C2×C22⋊C4—262no—
436C2×C22⋊C4—262no—
437C2×C22⋊C4—264no—
438C2×C22⋊C4C4×D1311yescharacteristic, complemented
439C2×C22⋊C4C22×D1311yescharacteristic
440C2×C22⋊C4C22×D1314yes—
441C2×C42—22no—
442C2×C42—131no—
443C2×C42—131no—
444C2×C42—131no—
445C2×C42—264no—
446C2×C42—262no—
447C2×C42C4×D1311yescharacteristic, complemented
448#99—138no—
449#99—1316no—
450#99C4×D1318yescomplemented
451#95—22no—
452#95—264no—
453#95—262no—
454C2×C13—24no—
455C2×C13—21no—
456C2×C13—21no—
457C2×C13—42no—
458C2×C13C2×C4×C22⋊C411yescharacteristic
459C2×C13#288311yescharacteristic
460C2×C13#288311yescharacteristic
461D13—24no—
462D13—24no—
463D13—42no—
464C24—131no—
465C24—131no—
466C24—134no—
467C24—134no—
468C24—134no—
469C24—131no—
470C24—134no—
471C24—262no—
472C24—262no—
473C24—1041no—
474C24—1041no—
475C24—1041no—
476C24—1041no—
477C24C2×C4×D1311yescharacteristic
478C24C23×D1311yescharacteristic
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—134no—
482C2×D4—134no—
483C2×D4—134no—
484C2×D4—262no—
485C2×D4—262no—
486C2×D4—2616no—
487C2×D4—2616no—
488C2×D4—262no—
489C2×D4—262no—
490C2×D4—262no—
491C2×D4—262no—
492C2×D4C2×C4×D1314yes—
493C22×C4—24no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—81no—
497C22×C4—81no—
498C22×C4—131no—
499C22×C4—131no—
500C22×C4—131no—
501C22×C4—134no—
502C22×C4—134no—
503C22×C4—131no—
504C22×C4—131no—
505C22×C4—262no—
506C22×C4—262no—
507C22×C4—262no—
508C22×C4—2616no—
509C22×C4—262no—
510C22×C4—262no—
511C22×C4—262no—
512C22×C4—264no—
513C22×C4—262no—
514C22×C4—1044no—
515C22×C4—1044no—
516C22×C4—1041no—
517C22×C4—1041no—
518C22×C4—1041no—
519C22×C4—1041no—
520C22×C4—1041no—
521C22×C4—1041no—
522C22×C4C2×C4×D1311yescharacteristic
523C22×C4C2×C4×D1311yescharacteristic
524C22×C4C2×C4×D1311yescharacteristic
525C22×C4C2×C4×D1311yescharacteristic
526C22×C4C2×C4×D1311yescharacteristic
527C22×C4D4×D1312yes—
528C22×C4D4×D1312yes—
529C4⋊C4—22no—
530C4⋊C4—262no—
531C4⋊C4—262no—
532C4⋊C4—261no—
533C4⋊C4—261no—
534C22⋊C4—22no—
535C22⋊C4—24no—
536C22⋊C4—22no—
537C22⋊C4—132no—
538C22⋊C4—132no—
539C22⋊C4—134no—
540C22⋊C4—132no—
541C22⋊C4—132no—
542C22⋊C4—134no—
543C22⋊C4—138no—
544C22⋊C4—262no—
545C22⋊C4—262no—
546C22⋊C4—262no—
547C22⋊C4—2616no—
548C22⋊C4—262no—
549C22⋊C4—262no—
550C22⋊C4—264no—
551C22⋊C4—261no—
552C22⋊C4—261no—
553C22⋊C4C2×C4×D1318yes—
554C42—21no—
555C42—21no—
556C42—82no—
557C42—262no—
558C42—262no—
559C42—262no—
560C42—1042no—
561C42—1044no—
562C13#2039211yescharacteristic, complemented, Sylow
563C23—21no—
564C23—21no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—132no—
570C23—132no—
571C23—132no—
572C23—132no—
573C23—132no—
574C23—132no—
575C23—138no—
576C23—138no—
577C23—132no—
578C23—268no—
579C23—261no—
580C23—261no—
581C23—524no—
582C23—521no—
583C23—524no—
584C23—521no—
585C23—521no—
586C23—521no—
587C23—521no—
588C23—521no—
589C23—1042no—
590C23—1042no—
591C23—1044no—
592C23—1044no—
593C23—1044no—
594C23—1044no—
595C23C42×D1312yes—
596C23C22×C4×D1311yescharacteristic
597C23C22×C4×D1312yes—
598C23C2×D4×D1312yes—
599C23#41×D1312yes—
600D4—28no—
601D4—268no—
602D4—268no—
603D4—268no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—28no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—44no—
614C2×C4—44no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—81no—
618C2×C4—81no—
619C2×C4—132no—
620C2×C4—132no—
621C2×C4—132no—
622C2×C4—268no—
623C2×C4—261no—
624C2×C4—261no—
625C2×C4—261no—
626C2×C4—261no—
627C2×C4—268no—
628C2×C4—524no—
629C2×C4—521no—
630C2×C4—521no—
631C2×C4—524no—
632C2×C4—524no—
633C2×C4—521no—
634C2×C4—521no—
635C2×C4—1042no—
636C2×C4—1042no—
637C2×C4—1042no—
638C2×C4—1042no—
639C2×C4—10416no—
640C2×C4—1042no—
641C2×C4C42×D1312yes—
642C2×C4C22⋊C4×D1311yescharacteristic
643C2×C4C22⋊C4×D1311yescharacteristic
644C2×C4C22⋊C4×D1312yes—
645C22—22no—
646C22—21no—
647C22—22no—
648C22—21no—
649C22—22no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—41no—
655C22—41no—
656C22—134no—
657C22—134no—
658C22—262no—
659C22—262no—
660C22—262no—
661C22—262no—
662C22—262no—
663C22—528no—
664C22—528no—
665C22—522no—
666C22—522no—
667C22—522no—
668C22—522no—
669C22—522no—
670C22—522no—
671C22—521no—
672C22—521no—
673C22—1048no—
674C22C2×C42×D1311yescharacteristic
675C22C2×C22⋊C4×D1311yescharacteristic
676C22D13×#11711yescharacteristic
677C22C4×D4×D1314yes—
678C4—21no—
679C4—21no—
680C4—22no—
681C4—22no—
682C4—48no—
683C4—41no—
684C4—41no—
685C4—262no—
686C4—262no—
687C4—262no—
688C4—528no—
689C4—521no—
690C4—521no—
691C2—24no—
692C2—21no—
693C2—21no—
694C2—42no—
695C2—264no—
696C2—264no—
697C2—522no—
698C2C4×C22⋊C4×D1311yescharacteristic
699C2#1312329411yescharacteristic
700C2#1312329511yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D13
commutatorC22×C13C22×C42
FrattiniC24C23×D13
FittingC4×C13×#99C2
socleC22×C13C22×C22⋊C4
prime radicalC22×D4×D13C22
cosocleC24×C13C24
hypercenterC4×#99D13
hypocenterC13#20392
LCSG ▷ C22×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C23×C4 ◁ C4×#99

Complements

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

NH ≅ G/Ntype
3. #13117188C2semidirect
4. #99×Dic13C2semidirect
5. C4×#88046C2semidirect
6. C4×#88074C2semidirect
7. #13114623C2semidirect
8. D13×#342C2semidirect
9. C4×C13×#99C2semidirect
13. C2×C4×C22⋊D13C4semidirect
15. C22×#6103C4semidirect
19. C2×#88147C4semidirect
20. C2×#88146C4semidirect
21. C2×#88135C4semidirect
23. C2×C22⋊C4×D13C4semidirect
26. C2×C4×D52C4semidirect
27. C2×#88126C4semidirect
29. C4×C13×C22⋊C4C22semidirect
31. C4×C22⋊Dic13C22semidirect
33. C22⋊C4×Dic13C22semidirect
35. D13×#99C4semidirect
37. C13×#342C22semidirect
38. #11718119C22semidirect
39. #11718118C22semidirect
43. C23×C4×C13C2×C4semidirect
47. C23×Dic13C2×C4semidirect
57. C22×C4×D13C2×C4semidirect
58. C22×C4×D13C2×C4semidirect
61. C2×C13×C4⋊C4C2×C4semidirect
62. C2×C13×C22⋊C4C2×C4semidirect
66. C2×C42×C13C2×C4semidirect
67. C2×C22⋊Dic13C2×C4semidirect
84. C2×#6103C2×C4semidirect
85. C2×#6103C2×C4semidirect
88. C2×C4⋊Dic13C2×C4semidirect
89. C2×#6101C2×C4semidirect
90. C2×#6101C2×C4semidirect
93. C2×C4×Dic13C2×C4semidirect
94. C2×C4×Dic13C2×C4semidirect
95. C2×C4×Dic13C2×C4semidirect
103. C22⋊C4×D13C2×C4semidirect
108. C13×#99C2×C4semidirect
110. #88074C2×C4semidirect
113. #88046C2×C4semidirect
123. C23×D13C42semidirect
149. C2×C22⋊D13C42semidirect
165. C2×D52C42semidirect
179. C2×C4×D13C42semidirect
220. C4×#99D13semidirect
330. C4×C22⋊C4C2×D13semidirect
333. #342C2×D13semidirect
397. C23×C4C4×D13semidirect
417. C2×C4⋊C4C4×D13semidirect
438. C2×C22⋊C4C4×D13semidirect
447. C2×C42C4×D13semidirect
450. #99C4×D13semidirect
562. C13#20392semidirect

Maximal subgroups

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

subgroupindex
C2×#117192502
C2×D13×#992
#131171882
#99×Dic132
C4×#880462
C4×#880742
#131146232
D13×#3422
C4×C13×#992
#2039213