Finite Group Databasebeta

← #15881069

Subgroups — #15881069

Order 3328.

1042 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718772C211yesmaximal, characteristic
2C2×#11718522C211yesmaximal, characteristic, complemented
3#13117761C211yesmaximal, characteristic
4C4⋊C4×C22⋊D13C211yesmaximal, characteristic
5#13115605C211yesmaximal, characteristic, complemented
6#13115596C211yesmaximal, characteristic, complemented
7#13115034C211yesmaximal, characteristic, complemented
8#13115029C211yesmaximal, characteristic, complemented
9#13115027C211yesmaximal, characteristic, complemented
10#13115024C211yesmaximal, characteristic, complemented
11#13115001C211yesmaximal, characteristic, complemented
12#13114866C211yesmaximal, characteristic, complemented
13#13114865C211yesmaximal, characteristic, complemented
14#13114736C211yesmaximal, characteristic, complemented
15C22×C13×#106C211yesmaximal, characteristic, complemented
16C23×C8×C13C2211yescharacteristic
17C22×C13×C4⋊C4C2211yescharacteristic
18C22×C13×C4⋊C4C2211yescharacteristic
19C2×C4×C22⋊D13—21no—
20C2×C4×C22⋊D13C2211yescharacteristic
21C22×#6094C2211yescharacteristic
22C2×#88146C2211yescharacteristic
23C2×C4⋊C4×D13C2211yescharacteristic
24C2×C13×#106—24no—
25C2×C13×#106C2211yescharacteristic
26C2×C13×#106C2211yescharacteristic
27C2×C13×#106C2211yescharacteristic
28C2×C13×#106C2211yescharacteristic
29#11718874—21no—
30#11718873C2211yescharacteristic
31#11718873C2211yescharacteristic
32#11718871—21no—
33C4×C22⋊Dic13—21no—
34C2×C22⋊#1055C2211yescharacteristic
35#11718772C418yescomplemented
36C2×#88060C2211yescharacteristic
37C2×#88058C2211yescharacteristic
38C2×#88058C2211yescharacteristic
39C2×#88055C2211yescharacteristic
40C2×#88054C2211yescharacteristic
41#11718651—21no—
42#11718650—21no—
43#11718648C2211yescharacteristic
44#11718648C2211yescharacteristic
45#11718639—21no—
46#11718638C2211yescharacteristic
47#11718637C2211yescharacteristic
48C4⋊C4×Dic13C2211yescharacteristic
49C4⋊C4×Dic13C2211yescharacteristic
50#11718633—21no—
51C2×#88048C2211yescharacteristic
52C2×#88048C2211yescharacteristic
53C2×#88047C2211yescharacteristic
54C2×#88047C2211yescharacteristic
55#11718522—24no—
56#11718143C2211yescharacteristic
57#11718143C2211yescharacteristic
58#11718121C2211yescharacteristic
59#11718121C2211yescharacteristic
60#11718121C2211yescharacteristic
61#11718121C2211yescharacteristic
62C23×C4×C13—21no—
63C23×C4×C13—21no—
64C23×C4×C13C2311yescharacteristic
65C22×C22⋊D13D411yescharacteristic
66C22×C4×D13—21no—
67C22×C4×D13C2311yescharacteristic
68C22×C8×C13—22no—
69C22×C8×C13—22no—
70C22×C8×C13C2×C414yescomplemented
71C22×C8×C13C2311yescharacteristic
72C22×C8×C13C2311yescharacteristic
73C2×C13×C4⋊C4—22no—
74C2×C13×C4⋊C4—22no—
75C2×C13×C4⋊C4—21no—
76C2×C13×C4⋊C4—21no—
77C2×C13×C4⋊C4—41no—
78C2×C13×C4⋊C4—41no—
79C2×C13×C4⋊C4C2311yescharacteristic
80C2×C13×C4⋊C4C2311yescharacteristic
81C2×C13×C4⋊C4C2311yescharacteristic
82C2×C13×C4⋊C4C2311yescharacteristic
83C2×C22⋊Dic13—21no—
84C2×C22⋊Dic13—21no—
85C2×C22⋊Dic13D411yescharacteristic
86C4×C22⋊D13—44no—
87C4×C22⋊D13C2×C414yes—
88C4×C22⋊D13Q814yes—
89C2×#6103—21no—
90C2×#6103—21no—
91C2×#6103—21no—
92C2×#6103D411yescharacteristic
93C2×C4⋊Dic13C2311yescharacteristic
94C2×C4⋊Dic13C2311yescharacteristic
95C2×C4⋊Dic13C2311yescharacteristic
96C2×C4⋊Dic13C2311yescharacteristic
97C2×#6101—21no—
98C2×#6101—21no—
99C2×#6101—21no—
100C2×#6101D411yescharacteristic
101C2×C4×Dic13—21no—
102C2×C4×Dic13—21no—
103C2×C4×Dic13—21no—
104C2×C4×Dic13C2311yescharacteristic
105C22×#1055C2311yescharacteristic
106C22×#1055C2311yescharacteristic
107C2×#6094—22no—
108C2×#6094—22no—
109C2×#6094C2×C414yescomplemented
110#88146—22no—
111#88146—41no—
112C4⋊C4×D13—22no—
113C4⋊C4×D13—41no—
114C13×#106—22no—
115C13×#106—22no—
116C13×#106—22no—
117C13×#106D414yescomplemented
118#88071—21no—
119#88071—21no—
120#88071—21no—
121#88071—21no—
122#88071—21no—
123#88071—21no—
124#88071—21no—
125#88071—21no—
126C22⋊#1055C2×C414yescomplemented
127#88060C2×C414yescomplemented
128#88058—22no—
129#88058—22no—
130#88055C2×C414yescomplemented
131#88054C2×C414yescomplemented
132#88048—22no—
133#88048—41no—
134#88047—22no—
135#88047—41no—
136#22659—131nomaximal, Sylow
137C24×C13C2×D411yescharacteristic
138C23×D13C2×D411yescharacteristic
139C22×C4×C13—21no—
140C22×C4×C13—21no—
141C22×C4×C13—21no—
142C22×C4×C13—21no—
143C22×C4×C13—21no—
144C22×C4×C13—21no—
145C22×C4×C13—21no—
146C22×C4×C13—21no—
147C22×C4×C13—42no—
148C22×C4×C13—42no—
149C22×C4×C13—42no—
150C22×C4×C13—42no—
151C22×C4×C13—81no—
152C22×C4×C13—81no—
153C22×C4×C13C22×C412yes—
154C22×C4×C13C2×D411yescharacteristic
155C22×C4×C13C2×Q812yes—
156C22×C4×C13C2411yescharacteristic
157C2×C22⋊D13—22no—
158C2×C22⋊D13—22no—
159C2×C22⋊D13C4⋊C414yes—
160C22×Dic13—21no—
161C22×Dic13—21no—
162C22×Dic13—21no—
163C22×Dic13—21no—
164C22×Dic13C2×D411yescharacteristic
165C22×Dic13C2×D411yescharacteristic
166C22×Dic13C2×D411yescharacteristic
167C2×C4×D13—21no—
168C2×C4×D13—21no—
169C2×C4×D13—21no—
170C2×C4×D13—21no—
171C2×C4×D13—42no—
172C2×C4×D13—42no—
173C2×C4×D13—81no—
174C2×C4×D13C22×C412yes—
175C2×C4×D13C2×Q812yes—
176C2×C8×C13—21no—
177C2×C8×C13—21no—
178C2×C8×C13—28no—
179C2×C8×C13C22×C412yes—
180C2×C8×C13C22×C412yes—
181C2×C8×C13C2×D412yes—
182C2×C8×C13#4112yes—
183C13×C4⋊C4—21no—
184C13×C4⋊C4—21no—
185C13×C4⋊C4—21no—
186C13×C4⋊C4—21no—
187C13×C4⋊C4—21no—
188C13×C4⋊C4—21no—
189C13×C4⋊C4—42no—
190C13×C4⋊C4—42no—
191C13×C4⋊C4C2×D412yes—
192C13×C4⋊C4C2×D412yes—
193C22⋊Dic13—42no—
194C22⋊Dic13—42no—
195C22⋊Dic13C4⋊C414yes—
196#6103—42no—
197#6103—42no—
198#6103—81no—
199#6103C4⋊C414yes—
200C4⋊Dic13—21no—
201C4⋊Dic13—21no—
202C4⋊Dic13—21no—
203C4⋊Dic13—21no—
204C4⋊Dic13—21no—
205C4⋊Dic13—21no—
206C4⋊Dic13—21no—
207C4⋊Dic13—21no—
208#6101—42no—
209#6101—42no—
210#6101—81no—
211#6101C4⋊C414yes—
212C4×Dic13—42no—
213C4×Dic13—42no—
214C4×Dic13—81no—
215C4×Dic13C22×C412yes—
216C4×Dic13C2×Q812yes—
217C2×#1055—21no—
218C2×#1055—21no—
219C2×#1055—21no—
220C2×#1055—21no—
221C2×#1055C22×C412yes—
222C2×#1055C22×C412yes—
223#6094—28no—
224C2×#435—131no—
225C2×#428—131no—
226C22×#106D1311yescharacteristic, complemented
227#2352—131no—
228D4×C4⋊C4—131no—
229#1949—131no—
230#1948—131no—
231#1854—131no—
232#1853—131no—
233#1853—131no—
234#1852—131no—
235#1847—131no—
236#1809—131no—
237#1808—131no—
238#1776—131no—
239C23×C13—21no—
240C23×C13—21no—
241C23×C13—21no—
242C23×C13—21no—
243C23×C13C2×C4⋊C412yes—
244C23×C13AGL(1,ℤ/8)12yes—
245C23×C13#13712yes—
246C23×C13C22×D411yescharacteristic
247C22×D13—21no—
248C22×D13—21no—
249C22×D13—21no—
250C22×D13—21no—
251C22×D13—21no—
252C22×D13—21no—
253C22×D13C2×C4⋊C412yes—
254C2×C4×C13—21no—
255C2×C4×C13—21no—
256C2×C4×C13—22no—
257C2×C4×C13—22no—
258C2×C4×C13—22no—
259C2×C4×C13—22no—
260C2×C4×C13—22no—
261C2×C4×C13—22no—
262C2×C4×C13—41no—
263C2×C4×C13—41no—
264C2×C4×C13—41no—
265C2×C4×C13—41no—
266C2×C4×C13—41no—
267C2×C4×C13—41no—
268C2×C4×C13—41no—
269C2×C4×C13—41no—
270C2×C4×C13—41no—
271C2×C4×C13—41no—
272C2×C4×C13—84no—
273C2×C4×C13—84no—
274C2×C4×C13C2×C4⋊C412yes—
275C2×C4×C13C23×C411yescharacteristic
276C2×C4×C13C22×D411yescharacteristic
277C2×C4×C13C22×Q811yescharacteristic
278C2×C4×C13C2×#4111yescharacteristic
279C2×C4×C13H(5,𝔽2)11yescharacteristic
280C2×C4×C132−1+411yescharacteristic
281C22⋊D13—28no—
282C2×Dic13—21no—
283C2×Dic13—21no—
284C2×Dic13—21no—
285C2×Dic13—21no—
286C2×Dic13—21no—
287C2×Dic13—21no—
288C2×Dic13—41no—
289C2×Dic13—41no—
290C2×Dic13—41no—
291C2×Dic13—41no—
292C2×Dic13—41no—
293C2×Dic13—41no—
294C2×Dic13—41no—
295C2×Dic13—41no—
296C2×Dic13—41no—
297C2×Dic13—41no—
298C2×Dic13—41no—
299C2×Dic13—41no—
300C2×Dic13C2×C4⋊C412yes—
301C2×Dic13C2×C4⋊C412yes—
302C2×Dic13C2×C4⋊C412yes—
303C4×D13—22no—
304C4×D13—22no—
305C4×D13—22no—
306C4×D13—22no—
307C4×D13—84no—
308C8×C13—22no—
309C8×C13C4×D414yescomplemented
310#1055—22no—
311#1055—22no—
312C22×M16—131no—
313C23×C8C2×D1311yescharacteristic
314C2×C4×D4—131no—
315C2×C4×D4—261no—
316C2×#117—131no—
317C22×C4⋊C4—131no—
318C22×C4⋊C4C2×D1311yescharacteristic
319C22×C4⋊C4C2×D1311yescharacteristic
320#435—138no—
321#428—264no—
322C2×#107—131no—
323C2×#107—131no—
324C2×#107—131no—
325C2×#107—131no—
326C2×#106—24no—
327C2×#106—131no—
328C2×#106—131no—
329C2×#106C2×D1311yescharacteristic
330C2×#106C2×D1311yescharacteristic
331C2×#106C2×D1311yescharacteristic
332C2×#106C2×D1311yescharacteristic
333C2×C4⋊C8—131no—
334C2×C22⋊C8—131no—
335C2×C22⋊C8—131no—
336C2×#97—131no—
337#389—261no—
338#388—261no—
339#387—261no—
340#386—261no—
341#385—261no—
342#385—261no—
343#384—131no—
344#382—131no—
345#380—131no—
346#380—131no—
347#380—131no—
348#380—131no—
349C4×C4⋊C4—131no—
350C4×C4⋊C4—131no—
351C4×C22⋊C4—261no—
352#340—131no—
353#340—131no—
354#340—131no—
355#340—131no—
356#340—131no—
357#340—131no—
358C22×C13—22no—
359C22×C13—22no—
360C22×C13—22no—
361C22×C13—22no—
362C22×C13—22no—
363C22×C13—22no—
364C22×C13#42814yescomplemented
365C22×C13C22×C4⋊C411yescharacteristic
366C22×C13D4211yescharacteristic
367C22×C13#54711yescharacteristic
368C22×C13C2×AGL(1,ℤ/8)11yescharacteristic
369C22×C13C2×#13711yescharacteristic
370C22×C13#57711yescharacteristic
371C22×C13#57711yescharacteristic
372C2×D13—22no—
373C2×D13—22no—
374C2×D13—22no—
375C2×D13—41no—
376C2×D13—41no—
377C2×D13—41no—
378C2×D13—41no—
379C4×C13—22no—
380C4×C13—42no—
381C4×C13—42no—
382C4×C13—81no—
383C4×C13—81no—
384C4×C13C2×C4×D411yescharacteristic
385C4×C13#52011yescharacteristic
386C4×C13D4×Q811yescharacteristic
387C4×C13#55411yescharacteristic
388Dic13—22no—
389Dic13—22no—
390Dic13—22no—
391Dic13—81no—
392Dic13—81no—
393Dic13—81no—
394Dic13—81no—
395C22×D4—131no—
396C23×C4—21no—
397C23×C4—21no—
398C23×C4—131no—
399C23×C4—261no—
400C23×C4C22×D1311yescharacteristic
401C2×M16—134no—
402C2×M16—262no—
403C2×M16—262no—
404C22×C8—22no—
405C22×C8—22no—
406C22×C8—131no—
407C22×C8—131no—
408C22×C8C4×D1314yescomplemented
409C22×C8C22×D1311yescharacteristic
410C22×C8C22×D1311yescharacteristic
411C4×D4—134no—
412C4×D4—134no—
413C4×D4—524no—
414#117—262no—
415#117—521no—
416C2×C4⋊C4—22no—
417C2×C4⋊C4—22no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—41no—
421C2×C4⋊C4—41no—
422C2×C4⋊C4—131no—
423C2×C4⋊C4—131no—
424C2×C4⋊C4—131no—
425C2×C4⋊C4—131no—
426C2×C4⋊C4—131no—
427C2×C4⋊C4—262no—
428C2×C4⋊C4—261no—
429C2×C4⋊C4—261no—
430C2×C4⋊C4—261no—
431C2×C4⋊C4—521no—
432C2×C4⋊C4C22×D1311yescharacteristic
433C2×C4⋊C4C22×D1311yescharacteristic
434C2×C4⋊C4C22×D1311yescharacteristic
435C2×C4⋊C4C22×D1311yescharacteristic
436C2×C22⋊C4—131no—
437C2×C22⋊C4—131no—
438C2×C22⋊C4—261no—
439C2×C22⋊C4—261no—
440C2×C22⋊C4—261no—
441C2×C22⋊C4—261no—
442C2×C22⋊C4—261no—
443C2×C42—131no—
444C2×C42—261no—
445C2×C42—261no—
446C2×C42—261no—
447#107—262no—
448#107—262no—
449#107—262no—
450#107—521no—
451#106—22no—
452#106—22no—
453#106—22no—
454#106—262no—
455#106—521no—
456#106C22⋊D1314yescomplemented
457C4⋊C8—134no—
458C22⋊C8—134no—
459C22⋊C8—134no—
460#97—134no—
461#95—261no—
462#95—261no—
463#95—261no—
464#95—261no—
465#95—261no—
466#95—261no—
467#95—261no—
468#95—261no—
469C2×C13—24no—
470C2×C13D4×C4⋊C411yescharacteristic
471C2×C13C2×#42811yescharacteristic
472C2×C13#291211yescharacteristic
473C2×C13#326511yescharacteristic
474C2×C13#326611yescharacteristic
475C2×C13#334411yescharacteristic
476C2×C13#334511yescharacteristic
477D13—42no—
478C24—131no—
479C24D4×D1311yescharacteristic
480C2×D4—134no—
481C2×D4—262no—
482C2×D4—262no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—81no—
496C22×C4—81no—
497C22×C4—131no—
498C22×C4—131no—
499C22×C4—131no—
500C22×C4—132no—
501C22×C4—132no—
502C22×C4—261no—
503C22×C4—261no—
504C22×C4—261no—
505C22×C4—261no—
506C22×C4—261no—
507C22×C4—261no—
508C22×C4—261no—
509C22×C4—261no—
510C22×C4—522no—
511C22×C4—522no—
512C22×C4—1041no—
513C22×C4C2×C4×D1312yes—
514C22×C4D4×D1311yescharacteristic
515C22×C4Q8×D1312yes—
516C22×C4C23×D1311yescharacteristic
517M16—268no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—28no—
521C2×C8—132no—
522C2×C8—132no—
523C2×C8—261no—
524C2×C8—261no—
525C2×C8—261no—
526C2×C8—261no—
527C2×C8C2×C4×D1312yes—
528C2×C8C2×C4×D1312yes—
529C2×C8#612712yes—
530C2×C8C2×C22⋊D1312yes—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—42no—
538C4⋊C4—42no—
539C4⋊C4—134no—
540C4⋊C4—261no—
541C4⋊C4—261no—
542C4⋊C4—261no—
543C4⋊C4—261no—
544C4⋊C4—261no—
545C4⋊C4—261no—
546C4⋊C4—261no—
547C4⋊C4—261no—
548C4⋊C4—522no—
549C4⋊C4—522no—
550C4⋊C4—1041no—
551C4⋊C4C2×C22⋊D1312yes—
552C4⋊C4C2×C22⋊D1312yes—
553C22⋊C4—134no—
554C22⋊C4—134no—
555C22⋊C4—522no—
556C22⋊C4—522no—
557C22⋊C4—522no—
558C22⋊C4—522no—
559C22⋊C4—1041no—
560C42—132no—
561C42—132no—
562C42—522no—
563C42—522no—
564C42—1041no—
565C13#2265911yescharacteristic, complemented, Sylow
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—132no—
571C23—261no—
572C23—261no—
573C23—261no—
574C23—261no—
575C23—261no—
576C23—261no—
577C23C4⋊C4×D1312yes—
578C23#8816812yes—
579C23#8816912yes—
580C23C2×D4×D1311yescharacteristic
581D4—268no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—84no—
601C2×C4—84no—
602C2×C4—132no—
603C2×C4—132no—
604C2×C4—132no—
605C2×C4—261no—
606C2×C4—261no—
607C2×C4—261no—
608C2×C4—261no—
609C2×C4—261no—
610C2×C4—261no—
611C2×C4—262no—
612C2×C4—262no—
613C2×C4—262no—
614C2×C4—262no—
615C2×C4—521no—
616C2×C4—521no—
617C2×C4—521no—
618C2×C4—521no—
619C2×C4—521no—
620C2×C4—521no—
621C2×C4—521no—
622C2×C4—521no—
623C2×C4—521no—
624C2×C4—521no—
625C2×C4—521no—
626C2×C4—521no—
627C2×C4—1044no—
628C2×C4C4⋊C4×D1312yes—
629C2×C4C22×C4×D1311yescharacteristic
630C2×C4C2×#612711yescharacteristic
631C2×C4#8825111yescharacteristic
632C2×C4C2×Q8×D1311yescharacteristic
633C2×C4#8825411yescharacteristic
634C2×C4C22×C22⋊D1311yescharacteristic
635C8—22no—
636C8—262no—
637C8—262no—
638C8C4×C22⋊D1314yescomplemented
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—262no—
646C22—262no—
647C22—262no—
648C22—521no—
649C22—521no—
650C22—521no—
651C22—521no—
652C22#1171852214yescomplemented
653C22C2×C4⋊C4×D1311yescharacteristic
654C22#1171921211yescharacteristic
655C22C2×#8816811yescharacteristic
656C22C2×#8816911yescharacteristic
657C22#1171946711yescharacteristic
658C22#1171946711yescharacteristic
659C22D4×C22⋊D1311yescharacteristic
660C4—22no—
661C4—42no—
662C4—42no—
663C4—81no—
664C4—81no—
665C4—262no—
666C4—262no—
667C4—262no—
668C4—1041no—
669C4—1041no—
670C4—1041no—
671C4—1041no—
672C4#1171920911yescharacteristic
673C4#1171921611yescharacteristic
674C4C2×C4×C22⋊D1311yescharacteristic
675C4Q8×C22⋊D1311yescharacteristic
676C2—24no—
677C2—522no—
678C2C4⋊C4×C22⋊D1311yescharacteristic
679C2C2×#1171852211yescharacteristic
680C2#1312342711yescharacteristic
681C2#1312633111yescharacteristic
682C2#1312634611yescharacteristic
683C2#1312728711yescharacteristic
684C2#1312730211yescharacteristic
subgroupG/H
centerC23C2×D4×D13
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC22×C13×#106C2
socleC23×C13C22×D4
prime radicalC22×C22⋊D13D4
cosocleC22×C4×C13C24
hypercenterC22×#106D13
hypocenterC13#22659
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×#106

Complements

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

NH ≅ G/Ntype
2. C2×#11718522C2semidirect
5. #13115605C2semidirect
6. #13115596C2semidirect
7. #13115034C2semidirect
8. #13115029C2semidirect
9. #13115027C2semidirect
10. #13115024C2semidirect
11. #13115001C2semidirect
12. #13114866C2semidirect
13. #13114865C2semidirect
14. #13114736C2semidirect
15. C22×C13×#106C2semidirect
35. #11718772C4semidirect
70. C22×C8×C13C2×C4semidirect
109. C2×#6094C2×C4semidirect
117. C13×#106D4semidirect
126. C22⋊#1055C2×C4semidirect
127. #88060C2×C4semidirect
130. #88055C2×C4semidirect
131. #88054C2×C4semidirect
226. C22×#106D13semidirect
309. C8×C13C4×D4semidirect
364. C22×C13#428semidirect
408. C22×C8C4×D13semidirect
456. #106C22⋊D13semidirect
565. C13#22659semidirect
638. C8C4×C22⋊D13semidirect
652. C22#11718522semidirect

Maximal subgroups

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

subgroupindex
C2×#117187722
C2×#117185222
#131177612
C4⋊C4×C22⋊D132
#131156052
#131155962
#131150342
#131150292
#131150272
#131150242
#131150012
#131148662
#131148652
#131147362
C22×C13×#1062
#2265913