Finite Group Databasebeta

← C2×#13117854 #16022450

Subgroups — C2×#13117854 #16022450

Order 3328.

4782 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#88149C211yesmaximal, characteristic
2C22×C4×D52C212yesmaximal, complemented
3C22×#88147C211yesmaximal, characteristic, complemented
4C22×C4⋊C4×D13C211yesmaximal, characteristic, complemented
5#13117854C2116yesmaximal, direct product factor
6C2×#11718600C211yesmaximal, characteristic, complemented
7C2×#11718646C211yesmaximal, characteristic, complemented
8C2×#11718601C212yesmaximal, complemented
9C2×#11718326C212yesmaximal, complemented
10C2×#11718329C212yesmaximal, complemented
11C2×C4×#6103C211yesmaximal, characteristic, complemented
12C2×C4×C13×C4⋊C4C211yesmaximal, characteristic, complemented
13C23×D52C2212yes—
14C23×D52C2211yescharacteristic
15C23×C4×D13C2212yes—
16C23×C4×D13C2212yes—
17C23×C4×D13C2211yescharacteristic
18C22×C13×C4⋊C4C2211yescharacteristic
19C22×C13×C4⋊C4C2211yescharacteristic
20C22×C42×C13C2212yes—
21C22×C42×C13C2211yescharacteristic
22C22×#6103C2211yescharacteristic
23C22×#6103C2212yes—
24C22×#6103C2212yes—
25C22×#6103C2212yes—
26C22×#6103C2212yes—
27C22×#6103C2211yescharacteristic
28C22×C4⋊Dic13C2211yescharacteristic
29C22×C4⋊Dic13C2212yes—
30C22×#6101C2212yes—
31C22×C4×Dic13C2211yescharacteristic
32C2×#88149C4116yescomplemented
33C2×#88149C2218yes—
34C2×#88147—28no—
35C2×#88147C2218yescomplemented
36C2×C4⋊C4×D13—28no—
37C2×C4⋊C4×D13C2218yescomplemented
38C2×C4×D52—216no—
39C2×C4×D52C22116yescomplemented
40C4×C13×C4⋊C4C2218yescomplemented
41C2×C13×#95C2212yes—
42C2×#88071C2211yescharacteristic
43C2×#88071C2212yes—
44C2×#88071C2211yescharacteristic
45#11718646C2218yescomplemented
46#11718601C22116yescomplemented
47#11718600C2218yescomplemented
48C4×#6103C2218yescomplemented
49#11718329C22116yescomplemented
50#11718326C22116yescomplemented
51C24×D13C2312yes—
52C24×D13C2311yescharacteristic
53C23×C4×C13C2311yescharacteristic
54C23×C4×C13C2312yes—
55C23×C4×C13C2312yes—
56C23×C4×C13C2311yescharacteristic
57C23×C4×C13C2311yescharacteristic
58C23×Dic13C2311yescharacteristic
59C23×Dic13C2312yes—
60C23×Dic13C2311yescharacteristic
61C23×Dic13C2311yescharacteristic
62C22×D52—28no—
63C22×D52—28no—
64C22×D52—24no—
65C22×D52—24no—
66C22×D52C2×C4116yescomplemented
67C22×D52C2×C418yescomplemented
68C22×D52C2318yes—
69C22×D52C2314yes—
70C22×C4×D13—24no—
71C22×C4×D13—24no—
72C22×C4×D13—28no—
73C22×C4×D13—28no—
74C22×C4×D13—28no—
75C22×C4×D13—28no—
76C22×C4×D13—44no—
77C22×C4×D13—44no—
78C22×C4×D13C2×C418yescomplemented
79C22×C4×D13C2318yes—
80C22×C4×D13C2318yes—
81C22×C4×D13C2314yes—
82C2×C13×C4⋊C4C2×C418yescomplemented
83C2×C13×C4⋊C4D418yescomplemented
84C2×C13×C4⋊C4C2314yes—
85C2×C13×C4⋊C4C2314yes—
86C2×C42×C13—28no—
87C2×C42×C13—24no—
88C2×C42×C13C2318yes—
89C2×C42×C13C2314yes—
90C2×#6103—24no—
91C2×#6103—28no—
92C2×#6103—28no—
93C2×#6103—44no—
94C2×#6103C2×C4116yescomplemented
95C2×#6103D418yescomplemented
96C2×#6103C2318yes—
97C2×#6103C2318yes—
98C2×#6103C2314yes—
99C2×#6103C2318yes—
100C2×#6103C2318yes—
101C2×#6103C2314yes—
102C2×C4⋊Dic13—24no—
103C2×C4⋊Dic13—28no—
104C2×C4⋊Dic13C2318yes—
105C2×C4⋊Dic13C2314yes—
106C2×#6101—28no—
107C2×#6101C2318yes—
108C2×C4×Dic13—24no—
109C2×C4×Dic13C2314yes—
110#88149C2×C4164yescomplemented
111#88147—232no—
112C4⋊C4×D13—232no—
113C4×D52—264no—
114C13×#95C2318yes—
115#88071C2318yes—
116#88071C2314yes—
117#88071C2314yes—
118C2×#2361—131nomaximal, Sylow
119C24×C13C2411yescharacteristic
120C23×D13—22no—
121C23×D13—22no—
122C23×D13—22no—
123C23×D13—22no—
124C23×D13—24no—
125C23×D13—24no—
126C23×D13—24no—
127C23×D13—24no—
128C23×D13—24no—
129C23×D13—24no—
130C23×D13C22×C418yes—
131C23×D13C22×C414yes—
132C23×D13C2×D414yes—
133C23×D13#4114yes—
134C23×D13C2414yes—
135C23×D13C2412yes—
136C22×C4×C13—24no—
137C22×C4×C13—24no—
138C22×C4×C13—22no—
139C22×C4×C13—24no—
140C22×C4×C13—24no—
141C22×C4×C13—22no—
142C22×C4×C13—22no—
143C22×C4×C13—22no—
144C22×C4×C13—22no—
145C22×C4×C13C22×C418yes—
146C22×C4×C13C22×C414yes—
147C22×C4×C13C2×D418yes—
148C22×C4×C13C2×D414yes—
149C22×C4×C13C2×D414yes—
150C22×C4×C13#4114yes—
151C22×C4×C13C2412yes—
152C22×C4×C13C2414yes—
153C22×C4×C13C2412yes—
154C22×C4×C13C2414yes—
155C22×C4×C13C2412yes—
156C22×Dic13—22no—
157C22×Dic13—22no—
158C22×Dic13—22no—
159C22×Dic13—22no—
160C22×Dic13—22no—
161C22×Dic13—24no—
162C22×Dic13—24no—
163C22×Dic13—22no—
164C22×Dic13—24no—
165C22×Dic13—22no—
166C22×Dic13C22×C414yes—
167C22×Dic13C2×D414yes—
168C22×Dic13C2412yes—
169C22×Dic13C2414yes—
170C22×Dic13C2412yes—
171C22×Dic13C2412yes—
172C2×D52—264no—
173C2×D52—216no—
174C2×D52—216no—
175C2×D52—232no—
176C2×D52—28no—
177C2×D52—28no—
178C2×D52C22×C4132yescomplemented
179C2×D52C22×C4116yescomplemented
180C2×C4×D13—232no—
181C2×C4×D13—28no—
182C2×C4×D13—28no—
183C2×C4×D13—216no—
184C2×C4×D13—216no—
185C2×C4×D13—216no—
186C2×C4×D13—216no—
187C2×C4×D13—48no—
188C2×C4×D13—48no—
189C2×C4×D13—432no—
190C2×C4×D13—432no—
191C2×C4×D13C22×C4116yescomplemented
192C13×C4⋊C4C22×C4116yescomplemented
193C13×C4⋊C4C2×D4116yescomplemented
194C42×C13—216no—
195C42×C13—28no—
196#6103—28no—
197#6103—216no—
198#6103—216no—
199#6103—48no—
200#6103C22×C4132yescomplemented
201#6103C2×D4116yescomplemented
202C4⋊Dic13—28no—
203C4⋊Dic13—216no—
204#6101—216no—
205C4×Dic13—28no—
206C22×#121—131no—
207C22×C4×D4—132no—
208C22×C4×D4—131no—
209C23×C4⋊C4—131no—
210#2361—1316no—
211C2×#390—131no—
212C2×#389—131no—
213C2×#388—132no—
214C2×#386—132no—
215C2×#385—132no—
216C2×C4×C4⋊C4D1311yescharacteristic, complemented
217C2×C4×C22⋊C4—131no—
218C23×C13C23×C412yes—
219C23×C13C22×D412yes—
220C23×C13C22×D412yes—
221C23×C13C2×#4112yes—
222C23×C13C2×#4112yes—
223C23×C13H(5,𝔽2)12yes—
224C23×C132−1+412yes—
225C23×C13C2511yescharacteristic
226C22×D13—28no—
227C22×D13—28no—
228C22×D13—28no—
229C22×D13—28no—
230C22×D13—28no—
231C22×D13—28no—
232C22×D13—22no—
233C22×D13—22no—
234C22×D13—22no—
235C22×D13—22no—
236C22×D13—216no—
237C22×D13—216no—
238C22×D13—216no—
239C22×D13—24no—
240C22×D13—24no—
241C22×D13—24no—
242C22×D13—24no—
243C22×D13—24no—
244C22×D13—24no—
245C22×D13—48no—
246C22×D13—48no—
247C22×D13—48no—
248C22×D13—48no—
249C22×D13C4×D4116yescomplemented
250C22×D13C23×C418yes—
251C22×D13C23×C414yes—
252C22×D13C22×D414yes—
253C22×D13C2×#4114yes—
254C2×C4×C13—216no—
255C2×C4×C13—216no—
256C2×C4×C13—28no—
257C2×C4×C13—24no—
258C2×C4×C13—24no—
259C2×C4×C13—22no—
260C2×C4×C13—24no—
261C2×C4×C13—24no—
262C2×C4×C13—22no—
263C2×C4×C13—22no—
264C2×C4×C13—22no—
265C2×C4×C13—22no—
266C2×C4×C13—44no—
267C2×C4×C13C4×D4116yescomplemented
268C2×C4×C13C23×C418yes—
269C2×C4×C13C23×C414yes—
270C2×C4×C13C22×D418yes—
271C2×C4×C13C22×D414yes—
272C2×C4×C13C22×D414yes—
273C2×C4×C13C2×#4114yes—
274C2×Dic13—28no—
275C2×Dic13—28no—
276C2×Dic13—22no—
277C2×Dic13—22no—
278C2×Dic13—22no—
279C2×Dic13—22no—
280C2×Dic13—22no—
281C2×Dic13—24no—
282C2×Dic13—24no—
283C2×Dic13—22no—
284C2×Dic13—24no—
285C2×Dic13—22no—
286C2×Dic13—48no—
287C2×Dic13—44no—
288C2×Dic13C23×C414yes—
289C2×Dic13C22×D414yes—
290D52—264no—
291D52—232no—
292C4×D13—232no—
293C4×D13—432no—
294C4×D13—432no—
295C23×D4—132no—
296C23×D4—131no—
297C24×C4—131no—
298C24×C4—132no—
299C24×C4—132no—
300C2×#121—1316no—
301C2×#121—138no—
302C2×C4×D4—138no—
303C2×C4×D4—1316no—
304C2×C4×D4—2616no—
305C2×C4×D4—268no—
306C22×C4⋊C4—132no—
307C22×C4⋊C4—131no—
308C22×C4⋊C4—132no—
309C22×C4⋊C4—138no—
310C22×C4⋊C4—268no—
311C22×C4⋊C4C2×D1311yescharacteristic
312C22×C4⋊C4C2×D1311yescharacteristic
313C22×C22⋊C4—131no—
314C22×C22⋊C4—132no—
315C22×C22⋊C4—132no—
316C22×C22⋊C4—132no—
317C22×C22⋊C4—131no—
318C22×C22⋊C4—132no—
319C22×C42—131no—
320C22×C42C2×D1312yes—
321C22×C42C2×D1311yescharacteristic
322#390—138no—
323#389—138no—
324#388—1316no—
325#386—1316no—
326#385—1316no—
327C4×C4⋊C4C2×D1318yescomplemented
328C4×C22⋊C4—138no—
329C2×#95—131no—
330C2×#95—131no—
331C2×#95—132no—
332C2×#95C2×D1312yes—
333C22×C13C2×C4×D414yes—
334C22×C13C2×C4×D414yes—
335C22×C13#52014yes—
336C22×C13D4214yes—
337C22×C13#54714yes—
338C22×C13#54814yes—
339C22×C13#55314yes—
340C22×C13C24×C411yescharacteristic
341C22×C13C23×D411yescharacteristic
342C22×C13C23×D411yescharacteristic
343C22×C13C22×#4111yescharacteristic
344C22×C13C22×#4111yescharacteristic
345C22×C13C2×H(5,𝔽2)11yescharacteristic
346C22×C13C2×2−1+411yescharacteristic
347C2×D13—232no—
348C2×D13—24no—
349C2×D13—24no—
350C2×D13—24no—
351C2×D13—24no—
352C2×D13—24no—
353C2×D13—24no—
354C2×D13—28no—
355C2×D13—28no—
356C2×D13—28no—
357C2×D13—432no—
358C2×D13—44no—
359C2×D13—44no—
360C2×D13—44no—
361C2×D13—44no—
362C2×D13C2×C4×D418yescomplemented
363C4×C13—28no—
364C4×C13—28no—
365C4×C13—24no—
366C4×C13—42no—
367C4×C13C2×C4×D418yescomplemented
368Dic13—24no—
369Dic13—24no—
370Dic13—44no—
371Dic13—42no—
372C25—131no—
373C25—132no—
374C22×D4—1316no—
375C22×D4—138no—
376C22×D4—138no—
377C22×D4—134no—
378C22×D4—268no—
379C22×D4—268no—
380C22×D4—264no—
381C22×D4—264no—
382C23×C4—131no—
383C23×C4—131no—
384C23×C4—138no—
385C23×C4—134no—
386C23×C4—131no—
387C23×C4—132no—
388C23×C4—138no—
389C23×C4—138no—
390C23×C4—268no—
391C23×C4—268no—
392C23×C4—264no—
393C23×C4—264no—
394C23×C4—268no—
395C23×C4—268no—
396C23×C4—524no—
397C23×C4—524no—
398C23×C4C22×D1311yescharacteristic
399C23×C4C22×D1312yes—
400C23×C4C22×D1312yes—
401C23×C4C22×D1311yescharacteristic
402C23×C4C22×D1311yescharacteristic
403#121—1364no—
404C4×D4—2664no—
405C4×D4—2632no—
406C2×C4⋊C4—138no—
407C2×C4⋊C4—134no—
408C2×C4⋊C4—138no—
409C2×C4⋊C4—268no—
410C2×C4⋊C4—268no—
411C2×C4⋊C4—264no—
412C2×C4⋊C4—2632no—
413C2×C4⋊C4C4×D1318yescomplemented
414C2×C4⋊C4D5218yescomplemented
415C2×C4⋊C4C22×D1314yes—
416C2×C4⋊C4C22×D1314yes—
417C2×C22⋊C4—1316no—
418C2×C22⋊C4—138no—
419C2×C22⋊C4—134no—
420C2×C22⋊C4—138no—
421C2×C22⋊C4—138no—
422C2×C22⋊C4—138no—
423C2×C22⋊C4—134no—
424C2×C22⋊C4—138no—
425C2×C22⋊C4—264no—
426C2×C22⋊C4—268no—
427C2×C22⋊C4—268no—
428C2×C22⋊C4—524no—
429C2×C42—24no—
430C2×C42—28no—
431C2×C42—134no—
432C2×C42—264no—
433C2×C42C22×D1318yes—
434C2×C42C22×D1314yes—
435#95—134no—
436#95—134no—
437#95—138no—
438#95C22×D1318yes—
439C2×C13#236118yescomplemented
440C2×C13C22×C4×D411yescharacteristic
441C2×C13C22×C4×D411yescharacteristic
442C2×C13C2×#52011yescharacteristic
443C2×C13C2×D4211yescharacteristic
444C2×C13C2×#54711yescharacteristic
445C2×C13C2×#54811yescharacteristic
446C2×C13C2×#55311yescharacteristic
447D13—28no—
448D13—48no—
449C24—134no—
450C24—134no—
451C24—134no—
452C24—132no—
453C24—138no—
454C24—134no—
455C24—262no—
456C24—262no—
457C24—262no—
458C24—262no—
459C24—264no—
460C24—264no—
461C24—264no—
462C24—264no—
463C24—264no—
464C24—264no—
465C24C23×D1311yescharacteristic
466C2×D4—1332no—
467C2×D4—1316no—
468C2×D4—2616no—
469C2×D4—2664no—
470C2×D4—2616no—
471C2×D4—2632no—
472C2×D4—268no—
473C2×D4—268no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—134no—
484C22×C4—134no—
485C22×C4—132no—
486C22×C4—132no—
487C22×C4—1316no—
488C22×C4—132no—
489C22×C4—134no—
490C22×C4—2616no—
491C22×C4—2616no—
492C22×C4—262no—
493C22×C4—262no—
494C22×C4—262no—
495C22×C4—262no—
496C22×C4—2632no—
497C22×C4—268no—
498C22×C4—268no—
499C22×C4—262no—
500C22×C4—264no—
501C22×C4—264no—
502C22×C4—262no—
503C22×C4—262no—
504C22×C4—264no—
505C22×C4—2616no—
506C22×C4—2616no—
507C22×C4—528no—
508C22×C4—528no—
509C22×C4—5232no—
510C22×C4—5232no—
511C22×C4C2×C4×D1318yes—
512C22×C4C2×C4×D1314yes—
513C22×C4C2×D5218yes—
514C22×C4C2×D5214yes—
515C22×C4#612714yes—
516C22×C4D4×D1314yes—
517C22×C4C23×D1312yes—
518C22×C4C23×D1314yes—
519C22×C4C23×D1314yes—
520C22×C4C23×D1312yes—
521C22×C4C23×D1312yes—
522C4⋊C4—2616no—
523C4⋊C4—2616no—
524C4⋊C4—268no—
525C4⋊C4C2×C4×D13116yescomplemented
526C4⋊C4C2×D52116yescomplemented
527C22⋊C4—1332no—
528C22⋊C4—1316no—
529C22⋊C4—268no—
530C22⋊C4—2616no—
531C22⋊C4—2616no—
532C22⋊C4—528no—
533C42—28no—
534C42—216no—
535C42—268no—
536C13C2×#236111yescharacteristic, complemented, Sylow
537C23—1316no—
538C23—134no—
539C23—134no—
540C23—134no—
541C23—138no—
542C23—268no—
543C23—268no—
544C23—268no—
545C23—268no—
546C23—268no—
547C23—268no—
548C23—262no—
549C23—262no—
550C23—262no—
551C23—262no—
552C23—2616no—
553C23—2616no—
554C23—2616no—
555C23—264no—
556C23—264no—
557C23—264no—
558C23—264no—
559C23—264no—
560C23—264no—
561C23—528no—
562C23—528no—
563C23—528no—
564C23—528no—
565C23C22×C4×D1312yes—
566C23C22×D5212yes—
567C23C2×#612712yes—
568C23C2×D4×D1312yes—
569C23#8825412yes—
570C23#41×D1312yes—
571C23#8825612yes—
572C23C24×D1311yescharacteristic
573D4—2664no—
574D4—2632no—
575C2×C4—28no—
576C2×C4—216no—
577C2×C4—216no—
578C2×C4—22no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—22no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—44no—
588C2×C4—134no—
589C2×C4—134no—
590C2×C4—268no—
591C2×C4—268no—
592C2×C4—262no—
593C2×C4—262no—
594C2×C4—262no—
595C2×C4—262no—
596C2×C4—2632no—
597C2×C4—262no—
598C2×C4—264no—
599C2×C4—264no—
600C2×C4—262no—
601C2×C4—262no—
602C2×C4—264no—
603C2×C4—5232no—
604C2×C4—5232no—
605C2×C4—528no—
606C2×C4—524no—
607C2×C4C4×D52116yescomplemented
608C2×C4C22×C4×D1318yes—
609C2×C4C22×C4×D1314yes—
610C2×C4C22×D5218yes—
611C2×C4C22×D5214yes—
612C2×C4C2×#612714yes—
613C2×C4C2×D4×D1314yes—
614C22—138no—
615C22—264no—
616C22—264no—
617C22—264no—
618C22—264no—
619C22—264no—
620C22—2632no—
621C22—264no—
622C22—268no—
623C22—268no—
624C22—268no—
625C22—524no—
626C22—524no—
627C22—524no—
628C22—5232no—
629C22—524no—
630C22C2×C4×D5214yes—
631C22#1171921214yes—
632C22#1171923514yes—
633C22C4×D4×D1314yes—
634C22D4×D5214yes—
635C22#1171927914yes—
636C22#1171928114yes—
637C22C23×C4×D1311yescharacteristic
638C22C23×D5211yescharacteristic
639C22C22×#612711yescharacteristic
640C22C22×D4×D1311yescharacteristic
641C22C2×#8825411yescharacteristic
642C22C2×#41×D1311yescharacteristic
643C22C2×#8825611yescharacteristic
644C4—28no—
645C4—28no—
646C4—24no—
647C4—42no—
648C4—264no—
649C4—264no—
650C4—524no—
651C4—522no—
652C4C2×C4×D5218yescomplemented
653C2—268no—
654C2—528no—
655C2#1311785418yesdirect product factor
656C2C2×C4×D4×D1311yescharacteristic
657C2C22×C4×D5211yescharacteristic
658C2C2×#1171927911yescharacteristic
659C2C2×D4×D5211yescharacteristic
660C2C2×#1171921211yescharacteristic
661C2C2×#1171928111yescharacteristic
662C2C2×#1171923511yescharacteristic
subgroupG/H
centerC24C23×D13
commutatorC22×C13C24×C4
FrattiniC23C24×D13
FittingC2×C4×C13×C4⋊C4C2
socleC24×C13C24
prime radicalC22×#88149C2
cosocleC23×C13C25
hypercenterC2×C4×C4⋊C4D13
hypocenterC13C2×#2361
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C22×C4×D52C2semidirect
3. C22×#88147C2semidirect
4. C22×C4⋊C4×D13C2semidirect
5. #13117854C2direct (N × H)
6. C2×#11718600C2semidirect
7. C2×#11718646C2semidirect
8. C2×#11718601C2semidirect
9. C2×#11718326C2semidirect
10. C2×#11718329C2semidirect
11. C2×C4×#6103C2semidirect
12. C2×C4×C13×C4⋊C4C2semidirect
32. C2×#88149C4semidirect
35. C2×#88147C22semidirect
37. C2×C4⋊C4×D13C22semidirect
39. C2×C4×D52C22semidirect
40. C4×C13×C4⋊C4C22semidirect
45. #11718646C22semidirect
46. #11718601C22semidirect
47. #11718600C22semidirect
48. C4×#6103C22semidirect
49. #11718329C22semidirect
50. #11718326C22semidirect
66. C22×D52C2×C4semidirect
67. C22×D52C2×C4semidirect
78. C22×C4×D13C2×C4semidirect
82. C2×C13×C4⋊C4C2×C4semidirect
83. C2×C13×C4⋊C4D4semidirect
94. C2×#6103C2×C4semidirect
95. C2×#6103D4semidirect
110. #88149C2×C4semidirect
178. C2×D52C22×C4semidirect
179. C2×D52C22×C4semidirect
191. C2×C4×D13C22×C4semidirect
192. C13×C4⋊C4C22×C4semidirect
193. C13×C4⋊C4C2×D4semidirect
200. #6103C22×C4semidirect
201. #6103C2×D4semidirect
216. C2×C4×C4⋊C4D13semidirect
249. C22×D13C4×D4semidirect
267. C2×C4×C13C4×D4semidirect
327. C4×C4⋊C4C2×D13semidirect
362. C2×D13C2×C4×D4semidirect
367. C4×C13C2×C4×D4semidirect
413. C2×C4⋊C4C4×D13semidirect
414. C2×C4⋊C4D52semidirect
439. C2×C13#2361semidirect
525. C4⋊C4C2×C4×D13semidirect
526. C4⋊C4C2×D52semidirect
536. C13C2×#2361semidirect
607. C2×C4C4×D52semidirect
652. C4C2×C4×D52semidirect
655. C2#13117854direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#881492
C22×C4×D522
C22×#881472
C22×C4⋊C4×D132
#131178542
C2×#117186002
C2×#117186462
C2×#117186012
C2×#117183262
C2×#117183292
C2×C4×#61032
C2×C4×C13×C4⋊C42
C2×#236113