Finite Group Databasebeta

← #16023563

Subgroups — #16023563

Order 3328.

2726 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719496C211yesmaximal, characteristic
2#13117919C212yesmaximal, complemented
3#13117886C212yesmaximal, complemented
4#13117815C214yesmaximal, complemented
5#13117810C212yesmaximal, complemented
6#13117779C212yesmaximal, complemented
7#13117692C212yesmaximal, complemented
8#13117663C212yesmaximal, complemented
9#13117601C212yesmaximal, complemented
10#13117592C212yesmaximal, complemented
11#13117463C212yesmaximal, complemented
12C4×#88183C214yesmaximal, complemented
13C2×#11718872C211yesmaximal, characteristic, complemented
14#13117195C212yesmaximal, complemented
15C2×C4×C13×C22⋊C4C211yesmaximal, characteristic, complemented
16C24×C4×C13C2211yescharacteristic
17C22×#6127C2211yescharacteristic
18C22×C13×C22⋊C4C2212yes—
19C22×C42×C13C2212yes—
20C2×#88207C2212yes—
21C22×C22⋊Dic13C2212yes—
22#11719496C4116yescomplemented
23C2×#88184C2211yescharacteristic
24C2×#88184C2211yescharacteristic
25C2×#88183C2212yes—
26C2×C4×C22⋊D13C2214yes—
27C2×C4×C22⋊D13C2212yes—
28C2×C4×C22⋊D13C2212yes—
29C2×#88180C2211yescharacteristic
30C2×#88178C2211yescharacteristic
31C2×#88178C2211yescharacteristic
32C2×#88135C2214yes—
33C4×C13×C22⋊C4C2211yescharacteristic
34C4×C13×C22⋊C4C2211yescharacteristic
35C4×C13×C22⋊C4C2212yes—
36C4×C13×C22⋊C4C2212yes—
37C4×C13×C22⋊C4C2212yes—
38C2×C13×#95C2212yes—
39#11718874C2214yes—
40#11718872C2211yescharacteristic
41#11718872C2211yescharacteristic
42#11718872C2212yes—
43#11718872C2212yes—
44#11718872C2212yes—
45#11718871C2214yes—
46C4×C22⋊Dic13C2214yes—
47C2×#88071C2212yes—
48C2×#88071C2212yes—
49#11718619C2214yes—
50#11718618C2214yes—
51#11718617C2214yes—
52#11718607C2214yes—
53#11718606C2214yes—
54#11718605C2214yes—
55C22⋊C4×Dic13C2214yes—
56#11718601C2214yescomplemented
57#11718601C2214yescomplemented
58C4×#6103C2214yescomplemented
59C4×#6103C2214yescomplemented
60#11718594C2214yescomplemented
61#11718594C2214yescomplemented
62C4×#6101C2214yescomplemented
63C4×#6101C2214yescomplemented
64#11718328C2212yescomplemented
65#11718327C2212yescomplemented
66#11718326C2214yescomplemented
67#11718325C2212yescomplemented
68D13×#95C2212yescomplemented
69#11718315C2214yescomplemented
70#11718314C2214yescomplemented
71#11718312C2212yescomplemented
72#11718311C2212yescomplemented
73#11718310C2212yescomplemented
74#11718309C2212yescomplemented
75#11718307C2214yescomplemented
76C25×C13C2311yescharacteristic
77C23×C4×C13—44no—
78C23×C4×C13C2×C418yescomplemented
79C23×C4×C13C2314yes—
80C23×C4×C13C2311yescharacteristic
81C23×C4×C13C2311yescharacteristic
82C23×C4×C13C2311yescharacteristic
83C23×C4×C13C2311yescharacteristic
84C23×C4×C13C2311yescharacteristic
85C23×C4×C13C2311yescharacteristic
86C22×C22⋊D13C2312yes—
87C22×C22⋊D13C2312yes—
88C22×C22⋊D13C2312yes—
89C23×Dic13C2314yes—
90C2×#6127—44no—
91C2×#6127C2×C418yescomplemented
92C22×D52C2311yescharacteristic
93C22×C4×D13C2314yes—
94C22×C4×D13C2312yes—
95C22×Dic26C2311yescharacteristic
96C2×C13×C22⋊C4—28no—
97C2×C13×C22⋊C4C2314yes—
98C2×C13×C22⋊C4C2312yes—
99C2×C13×C22⋊C4C2312yes—
100C2×C42×C13—44no—
101C2×C42×C13C2312yes—
102C2×C42×C13C2314yes—
103C2×C42×C13C2312yes—
104#88207C2×C4116yescomplemented
105C2×C22⋊Dic13—44no—
106C2×C22⋊Dic13C2314yes—
107C2×C22⋊Dic13C2312yes—
108C2×C22⋊Dic13C2312yes—
109C2×C22⋊Dic13C2312yes—
110C2×C22⋊Dic13C2312yes—
111C2×C22⋊Dic13C2312yes—
112#88184C2×C418yescomplemented
113#88184C2×C418yescomplemented
114#88183C2×C4116yescomplemented
115C4×C22⋊D13—48no—
116C4×C22⋊D13C2×C4116yescomplemented
117C4×C22⋊D13C2×C4116yescomplemented
118C2×#6103C2314yes—
119C2×#6103C2314yes—
120C2×#6103C2314yes—
121C2×#6103C2312yes—
122C2×#6103C2312yes—
123#88180C2×C418yescomplemented
124C2×C4⋊Dic13C2311yescharacteristic
125C2×C4⋊Dic13C2311yescharacteristic
126#88178C2×C418yescomplemented
127#88178C2×C418yescomplemented
128C2×#6101C2314yes—
129C2×#6101C2314yes—
130C2×#6101C2314yes—
131C2×#6101C2312yes—
132C2×#6101C2312yes—
133C2×C4×Dic13C2314yes—
134C2×C4×Dic13C2314yes—
135C2×C4×Dic13C2314yes—
136C2×C4×Dic13C2312yes—
137#88135—216no—
138C13×#95C2314yes—
139C13×#95C2312yes—
140C13×#95C2312yes—
141#88071C2314yes—
142#88071C2314yes—
143#88071C2314yes—
144#88071C2312yes—
145#88071C2314yes—
146#88071C2312yes—
147#88071C2314yes—
148#88071C2314yes—
149#88071C2314yes—
150#88071C2312yes—
151#88071C2314yes—
152#88071C2312yes—
153#34228—131nomaximal, Sylow
154C24×C13—24no—
155C24×C13—24no—
156C24×C13—42no—
157C24×C13C22×C414yes—
158C24×C13C2411yescharacteristic
159C24×C13C2411yescharacteristic
160C24×C13C2411yescharacteristic
161C23×D13C2412yes—
162C22×C4×C13—24no—
163C22×C4×C13—24no—
164C22×C4×C13—28no—
165C22×C4×C13—28no—
166C22×C4×C13—416no—
167C22×C4×C13—42no—
168C22×C4×C13—42no—
169C22×C4×C13—42no—
170C22×C4×C13—42no—
171C22×C4×C13—44no—
172C22×C4×C13C22×C414yes—
173C22×C4×C13C22×C414yes—
174C22×C4×C13C22×C414yes—
175C22×C4×C13C22×C414yes—
176C22×C4×C13C22×C414yes—
177C22×C4×C13C22×C414yes—
178C22×C4×C13C2414yes—
179C22×C4×C13C2411yescharacteristic
180C22×C4×C13C2411yescharacteristic
181C22×C4×C13C2411yescharacteristic
182C22×C4×C13C2411yescharacteristic
183C22×C4×C13C2414yes—
184C2×C22⋊D13—28no—
185C2×C22⋊D13—28no—
186C2×C22⋊D13—42no—
187C2×C22⋊D13—42no—
188C2×C22⋊D13C22×C418yes—
189C2×C22⋊D13C22×C418yes—
190C2×C22⋊D13C22×C418yes—
191C22×Dic13—28no—
192C22×Dic13—44no—
193C22×Dic13—44no—
194C22×Dic13C2414yes—
195C22×Dic13C2414yes—
196C22×Dic13C2412yes—
197C22×Dic13C2412yes—
198C22×Dic13C2412yes—
199#6127—416no—
200C2×D52—42no—
201C2×D52C22×C414yes—
202C2×C4×D13—28no—
203C2×C4×D13—44no—
204C2×C4×D13—44no—
205C2×C4×D13—44no—
206C2×C4×D13C22×C418yes—
207C2×Dic26—42no—
208C2×Dic26C22×C414yes—
209C13×C22⋊C4—24no—
210C13×C22⋊C4—28no—
211C13×C22⋊C4#4118yescomplemented
212C42×C13—42no—
213C42×C13—44no—
214C42×C13—42no—
215C22⋊Dic13—28no—
216C22⋊Dic13—42no—
217C22⋊Dic13—42no—
218C22⋊Dic13C22×C418yes—
219C22⋊Dic13C22×C418yes—
220C22⋊Dic13C22×C418yes—
221#6103—28no—
222#6103—44no—
223#6103—44no—
224#6103C22×C418yes—
225#6103C22×C418yes—
226C4⋊Dic13C22×C414yes—
227C4⋊Dic13C22×C414yes—
228#6101—28no—
229#6101—44no—
230#6101—44no—
231#6101C22×C418yes—
232#6101C22×C418yes—
233C4×Dic13—28no—
234C4×Dic13—44no—
235C4×Dic13—44no—
236C4×Dic13C22×C418yes—
237C2×#525—131no—
238#2368—132no—
239#2364—132no—
240#2358—134no—
241#2357—132no—
242#2353—132no—
243#2343—132no—
244#2339—132no—
245#2333—132no—
246#2332—132no—
247#2318—132no—
248C4×#123—134no—
249C2×#381—131no—
250#2275—132no—
251C2×C4×C22⋊C4D1311yescharacteristic, complemented
252C23×C13—22no—
253C23×C13—22no—
254C23×C13—22no—
255C23×C13—22no—
256C23×C13—28no—
257C23×C13—28no—
258C23×C13—22no—
259C23×C13—22no—
260C23×C13—22no—
261C23×C13—44no—
262C23×C13—416no—
263C23×C13C23×C412yes—
264C23×C13C23×C412yes—
265C23×C13C23×C412yes—
266C23×C13C2×#4114yes—
267C23×C13H(5,𝔽2)14yes—
268C23×C13C2511yescharacteristic
269C22×D13—24no—
270C22×D13—24no—
271C22×D13—22no—
272C22×D13—22no—
273C22×D13C23×C414yes—
274C2×C4×C13—28no—
275C2×C4×C13—28no—
276C2×C4×C13—24no—
277C2×C4×C13—22no—
278C2×C4×C13—22no—
279C2×C4×C13—22no—
280C2×C4×C13—22no—
281C2×C4×C13—24no—
282C2×C4×C13—24no—
283C2×C4×C13—24no—
284C2×C4×C13—24no—
285C2×C4×C13—44no—
286C2×C4×C13—44no—
287C2×C4×C13—44no—
288C2×C4×C13—44no—
289C2×C4×C13—416no—
290C2×C4×C13C23×C412yes—
291C2×C4×C13C23×C412yes—
292C2×C4×C13C23×C412yes—
293C2×C4×C13C23×C412yes—
294C2×C4×C13C2×#4118yes—
295C22⋊D13—216no—
296C22⋊D13—216no—
297C22⋊D13—48no—
298C2×Dic13—24no—
299C2×Dic13—24no—
300C2×Dic13—22no—
301C2×Dic13—22no—
302C2×Dic13—24no—
303C2×Dic13—24no—
304C2×Dic13—24no—
305C2×Dic13—24no—
306C2×Dic13—24no—
307C2×Dic13—24no—
308C2×Dic13—88no—
309C2×Dic13C23×C414yes—
310C2×Dic13C23×C414yes—
311C2×Dic13C23×C414yes—
312D52—44no—
313C4×D13—48no—
314C4×D13—88no—
315Dic26—44no—
316C22×#41—131no—
317C24×C4C2×D1311yescharacteristic
318#525—1316no—
319C2×#123—132no—
320C2×C22⋊Q8—131no—
321C2×C22⋊Q8—131no—
322C2×#121—131no—
323C2×#121—131no—
324C2×#120—132no—
325C2×C4×D4—132no—
326C2×C4×D4—132no—
327C2×C4×D4—134no—
328C2×C4×D4—134no—
329C2×#117—131no—
330C22×C22⋊C4—132no—
331C22×C22⋊C4C2×D1312yes—
332C22×C42C2×D1312yes—
333#391—134no—
334#390—134no—
335#388—134no—
336#388—134no—
337#388—134no—
338#388—134no—
339#387—134no—
340#387—134no—
341#387—134no—
342#387—134no—
343#386—134no—
344#386—134no—
345#386—134no—
346#386—134no—
347#385—134no—
348#385—134no—
349#383—132no—
350#382—132no—
351#381—132no—
352#381—132no—
353#381—131no—
354#381—131no—
355#381—132no—
356#381—132no—
357#380—132no—
358C4×C4⋊C4—134no—
359C4×C4⋊C4—134no—
360C4×C4⋊C4—132no—
361C4×C22⋊C4—134no—
362C4×C22⋊C4—134no—
363C4×C22⋊C4—134no—
364C4×C22⋊C4—134no—
365C4×C22⋊C4—132no—
366C4×C22⋊C4C2×D1311yescharacteristic
367C4×C22⋊C4C2×D1312yes—
368C4×C22⋊C4C2×D1312yes—
369C4×C22⋊C4C2×D1312yes—
370C4×C22⋊C4C2×D1311yescharacteristic
371#376—132no—
372C2×#95—132no—
373C2×#95—132no—
374C2×#95—132no—
375C2×#95C2×D1312yes—
376C22×C13—22no—
377C22×C13—22no—
378C22×C13—22no—
379C22×C13—22no—
380C22×C13—28no—
381C22×C13—28no—
382C22×C13—22no—
383C22×C13—22no—
384C22×C13—22no—
385C22×C13—416no—
386C22×C13—44no—
387C22×C13C4×#4114yes—
388C22×C13#51814yes—
389C22×C13C24×C411yescharacteristic
390C22×C13C22×#4112yes—
391C22×C13C2×H(5,𝔽2)12yes—
392C22×C13#58512yes—
393C2×D13—24no—
394C2×D13—24no—
395C2×D13—24no—
396C2×D13—44no—
397C2×D13—44no—
398C4×C13—22no—
399C4×C13—22no—
400C4×C13—22no—
401C4×C13—22no—
402C4×C13—28no—
403C4×C13—44no—
404Dic13—24no—
405Dic13—24no—
406Dic13—24no—
407Dic13—44no—
408Dic13—44no—
409C25C22×D1311yescharacteristic
410C2×#41—138no—
411C2×#41—524no—
412C22×Q8—131no—
413C22×D4—132no—
414C22×D4—132no—
415C22×D4—132no—
416C22×D4—131no—
417C23×C4—44no—
418C23×C4—132no—
419C23×C4—134no—
420C23×C4—134no—
421C23×C4C4×D1318yescomplemented
422C23×C4C22×D1314yes—
423C23×C4C22×D1311yescharacteristic
424C23×C4C22×D1311yescharacteristic
425C23×C4C22×D1311yescharacteristic
426C23×C4C22×D1311yescharacteristic
427C23×C4C22×D1311yescharacteristic
428C23×C4C22×D1311yescharacteristic
429#123—1316no—
430C22⋊Q8—138no—
431C22⋊Q8—138no—
432#121—138no—
433#121—138no—
434#120—1316no—
435C4×D4—1316no—
436C4×D4—1316no—
437C4×D4—2616no—
438C4×D4—528no—
439#117—138no—
440C2×C4⋊C4—131no—
441C2×C4⋊C4—131no—
442C2×C4⋊C4—132no—
443C2×C4⋊C4—132no—
444C2×C4⋊C4—134no—
445C2×C4⋊C4—134no—
446C2×C4⋊C4—134no—
447C2×C22⋊C4—28no—
448C2×C22⋊C4—132no—
449C2×C22⋊C4—132no—
450C2×C22⋊C4—132no—
451C2×C22⋊C4—132no—
452C2×C22⋊C4—132no—
453C2×C22⋊C4—134no—
454C2×C22⋊C4—134no—
455C2×C22⋊C4—132no—
456C2×C22⋊C4—132no—
457C2×C22⋊C4—134no—
458C2×C22⋊C4—134no—
459C2×C22⋊C4—524no—
460C2×C22⋊C4C22×D1312yes—
461C2×C22⋊C4C22×D1314yes—
462C2×C22⋊C4C22×D1312yes—
463C2×C42—44no—
464C2×C42—132no—
465C2×C42—134no—
466C2×C42—134no—
467C2×C42—134no—
468C2×C42C22×D1312yes—
469C2×C42C22×D1314yes—
470C2×C42C22×D1312yes—
471#95—132no—
472#95—132no—
473#95—132no—
474#95—134no—
475#95—134no—
476#95—132no—
477#95—134no—
478#95—134no—
479#95—134no—
480#95—134no—
481#95—134no—
482#95—134no—
483#95C22×D1312yes—
484#95C22×D1312yes—
485#95C22×D1314yes—
486C2×C13—24no—
487C2×C13—24no—
488C2×C13—42no—
489C2×C13C2×C4×#4111yescharacteristic
490C2×C13C2×#51811yescharacteristic
491C2×C13#342811yescharacteristic
492C2×C13#351314yes—
493D13—44no—
494C24—24no—
495C24—24no—
496C24—42no—
497C24—132no—
498C24C2×C4×D1314yes—
499C24C23×D1311yescharacteristic
500C24C23×D1311yescharacteristic
501C24C23×D1311yescharacteristic
502#41—5216no—
503C2×Q8—134no—
504C2×Q8—522no—
505C2×D4—138no—
506C2×D4—138no—
507C2×D4—138no—
508C2×D4—134no—
509C2×D4—268no—
510C2×D4—268no—
511C2×D4—522no—
512C2×D4—522no—
513C2×D4—522no—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—28no—
517C22×C4—28no—
518C22×C4—416no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—44no—
524C22×C4—132no—
525C22×C4—132no—
526C22×C4—132no—
527C22×C4—138no—
528C22×C4—134no—
529C22×C4—134no—
530C22×C4—268no—
531C22×C4—268no—
532C22×C4—524no—
533C22×C4—524no—
534C22×C4—524no—
535C22×C4—524no—
536C22×C4—524no—
537C22×C4C2×C4×D1314yes—
538C22×C4C2×C4×D1314yes—
539C22×C4C2×C4×D1314yes—
540C22×C4C2×C4×D1314yes—
541C22×C4C2×C4×D1314yes—
542C22×C4C2×C4×D1314yes—
543C22×C4C23×D1314yes—
544C22×C4C23×D1311yescharacteristic
545C22×C4C23×D1311yescharacteristic
546C22×C4C23×D1311yescharacteristic
547C22×C4C23×D1311yescharacteristic
548C22×C4C23×D1314yes—
549C4⋊C4—134no—
550C4⋊C4—134no—
551C4⋊C4—138no—
552C4⋊C4—138no—
553C4⋊C4—268no—
554C4⋊C4—524no—
555C4⋊C4—524no—
556C22⋊C4—24no—
557C22⋊C4—28no—
558C22⋊C4—138no—
559C22⋊C4—138no—
560C22⋊C4—138no—
561C22⋊C4—138no—
562C22⋊C4—138no—
563C22⋊C4—268no—
564C22⋊C4—268no—
565C22⋊C4—524no—
566C22⋊C4—524no—
567C22⋊C4—522no—
568C22⋊C4—522no—
569C22⋊C4#612718yescomplemented
570C42—42no—
571C42—44no—
572C42—42no—
573C42—138no—
574C42—268no—
575C42—524no—
576C42—524no—
577C13#3422811yescharacteristic, complemented, Sylow
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—28no—
583C23—28no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—44no—
588C23—416no—
589C23—134no—
590C23—264no—
591C23—264no—
592C23—262no—
593C23—262no—
594C23C22×C4×D1312yes—
595C23C22×C4×D1312yes—
596C23C22×C4×D1312yes—
597C23C2×#612714yes—
598C23#8825114yes—
599C23C24×D1311yescharacteristic
600Q8—524no—
601D4—2616no—
602D4—2616no—
603D4—524no—
604D4—528no—
605C2×C4—28no—
606C2×C4—28no—
607C2×C4—24no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—44no—
617C2×C4—44no—
618C2×C4—44no—
619C2×C4—44no—
620C2×C4—416no—
621C2×C4—134no—
622C2×C4—134no—
623C2×C4—134no—
624C2×C4—264no—
625C2×C4—264no—
626C2×C4—262no—
627C2×C4—262no—
628C2×C4—264no—
629C2×C4—264no—
630C2×C4—264no—
631C2×C4—264no—
632C2×C4—264no—
633C2×C4—264no—
634C2×C4—528no—
635C2×C4—1048no—
636C2×C4—1048no—
637C2×C4C22×C4×D1312yes—
638C2×C4C22×C4×D1312yes—
639C2×C4C22×C4×D1312yes—
640C2×C4C22×C4×D1312yes—
641C2×C4C2×#612718yes—
642C22—28no—
643C22—28no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22—416no—
652C22—44no—
653C22—264no—
654C22—264no—
655C22—264no—
656C22—524no—
657C22—524no—
658C22C4×#612714yes—
659C22#1171919114yes—
660C22C23×C4×D1311yescharacteristic
661C22C22×#612712yes—
662C22C2×#8825112yes—
663C22#1171964812yes—
664C4—28no—
665C4—22no—
666C4—22no—
667C4—22no—
668C4—22no—
669C4—44no—
670C4—264no—
671C4—264no—
672C4—264no—
673C4—524no—
674C4—524no—
675C2—24no—
676C2—24no—
677C2—42no—
678C2—524no—
679C2C2×C4×#612711yescharacteristic
680C2C2×#1171919111yescharacteristic
681C2#1312803711yescharacteristic
682C2#1312877614yes—
subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC2×C4×C13×C22⋊C4C2
socle, cosocleC23×C13C25
prime radicalC2×#11719496C2
hypercenterC2×C4×C22⋊C4D13
hypocenterC13#34228
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. #13117919C2semidirect
3. #13117886C2semidirect
4. #13117815C2semidirect
5. #13117810C2semidirect
6. #13117779C2semidirect
7. #13117692C2semidirect
8. #13117663C2semidirect
9. #13117601C2semidirect
10. #13117592C2semidirect
11. #13117463C2semidirect
12. C4×#88183C2semidirect
13. C2×#11718872C2semidirect
14. #13117195C2semidirect
15. C2×C4×C13×C22⋊C4C2semidirect
22. #11719496C4semidirect
56. #11718601C22semidirect
57. #11718601C22semidirect
58. C4×#6103C22semidirect
59. C4×#6103C22semidirect
60. #11718594C22semidirect
61. #11718594C22semidirect
62. C4×#6101C22semidirect
63. C4×#6101C22semidirect
64. #11718328C22semidirect
65. #11718327C22semidirect
66. #11718326C22semidirect
67. #11718325C22semidirect
68. D13×#95C22semidirect
69. #11718315C22semidirect
70. #11718314C22semidirect
71. #11718312C22semidirect
72. #11718311C22semidirect
73. #11718310C22semidirect
74. #11718309C22semidirect
75. #11718307C22semidirect
78. C23×C4×C13C2×C4semidirect
91. C2×#6127C2×C4semidirect
104. #88207C2×C4semidirect
112. #88184C2×C4semidirect
113. #88184C2×C4semidirect
114. #88183C2×C4semidirect
116. C4×C22⋊D13C2×C4semidirect
117. C4×C22⋊D13C2×C4semidirect
123. #88180C2×C4semidirect
126. #88178C2×C4semidirect
127. #88178C2×C4semidirect
211. C13×C22⋊C4#41semidirect
251. C2×C4×C22⋊C4D13semidirect
421. C23×C4C4×D13semidirect
569. C22⋊C4#6127semidirect
577. C13#34228semidirect

Maximal subgroups

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

subgroupindex
C2×#117194962
#131179192
#131178862
#131178152
#131178102
#131177792
#131176922
#131176632
#131176012
#131175922
#131174632
C4×#881832
C2×#117188722
#131171952
C2×C4×C13×C22⋊C42
#3422813