Finite Group Databasebeta

← C4×Q8×C22⋊D13 #16022781

Subgroups — C4×Q8×C22⋊D13 #16022781

Order 3328.

3148 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×Q8×C22⋊D13C211yesmaximal, characteristic
2C2×C4×Q8×D13C211yesmaximal, characteristic, complemented
3#13117890C213yesmaximal, complemented
4#13117841C213yesmaximal, complemented
5#13117837C213yesmaximal, complemented
6Q8×#6101C211yesmaximal, characteristic, complemented
7C4⋊C4×C22⋊D13C213yesmaximal
8Q8×C22⋊Dic13C211yesmaximal, characteristic, complemented
9Q8×#6103C211yesmaximal, characteristic, complemented
10C4×#88198C213yesmaximal, complemented
11C4×#88178C213yesmaximal, complemented
12C4×#88200C213yesmaximal, complemented
13C4×Q8×Dic13C211yesmaximal, characteristic, complemented
14C42×C22⋊D13C213yesmaximal
15C22×C4×Q8×C13C211yesmaximal, characteristic, complemented
16C23×Q8×C13C2211yescharacteristic
17C22×Q8×D13C2211yescharacteristic
18C2×C4×Q8×C13—28no—
19C2×C4×Q8×C13C2211yescharacteristic
20C2×C4×Q8×C13C2213yes—
21C2×C4×Q8×C13C2213yes—
22C2×C4×Q8×C13C2211yescharacteristic
23C22×C13×C4⋊C4C2213yes—
24C22×C42×C13C2213yes—
25Q8×C22⋊D13C4116yesdirect product factor
26C2×#88200C2213yes—
27C2×Q8×Dic13C2211yescharacteristic
28C2×Q8×Dic13C2211yescharacteristic
29C2×Q8×Dic13C2211yescharacteristic
30C2×#88198C2213yes—
31C2×C4×C22⋊D13C2213yes—
32C2×C4×C22⋊D13C2213yes—
33C2×C4×C22⋊D13C2211yescharacteristic
34C2×#88178C2213yes—
35C4×Q8×D13—28no—
36C2×C4⋊C4×D13C2213yes—
37C2×#88141C2213yes—
38C2×C42×D13C2213yes—
39C2×C4×Dic26C2213yes—
40#11718891C2213yes—
41#11718891C2213yes—
42#11718873C2213yes—
43#11718871C2216yes—
44C4×C22⋊Dic13C2213yes—
45C4×C22⋊Dic13C2213yes—
46C4×C22⋊Dic13C2213yes—
47#11718650C2216yes—
48#11718648C2213yes—
49#11718639C2216yes—
50#11718637C2213yes—
51C4⋊C4×Dic13C2213yes—
52C4⋊C4×Dic13C2213yes—
53#11718635C2213yes—
54#11718634C2213yes—
55#11718633C2216yes—
56#11718633C2216yes—
57C4×#6103C2213yes—
58C4×#6103C2213yes—
59C4×#6103C2213yes—
60C4×C4⋊Dic13C2213yes—
61#11718594C2216yes—
62C4×#6101C2213yes—
63C4×#6101C2216yes—
64C4×#6101C2213yes—
65C4×#6101C2213yes—
66C42×Dic13C2213yes—
67#11718590C2213yes—
68#11718589C2213yes—
69C22×Q8×C13—24no—
70C22×Q8×C13—24no—
71C22×Q8×C13C2×C418yescomplemented
72C22×Q8×C13C2313yes—
73C22×Q8×C13C2311yescharacteristic
74C23×C4×C13C2313yes—
75C23×C4×C13C2313yes—
76C23×C4×C13C2311yescharacteristic
77C22×C22⋊D13C2311yescharacteristic
78C2×Q8×D13—24no—
79C2×Q8×D13—24no—
80C2×Q8×D13C2×C418yescomplemented
81C22×C4×D13C2313yes—
82C22×C4×D13C2313yes—
83C22×C4×D13C2311yescharacteristic
84C22×Dic26C2313yes—
85C4×Q8×C13—24no—
86C4×Q8×C13—212no—
87C4×Q8×C13—212no—
88C4×Q8×C13D418yescomplemented
89C2×C13×C4⋊C4—212no—
90C2×C13×C4⋊C4C2316yes—
91C2×C13×C4⋊C4C2313yes—
92C2×C13×C4⋊C4C2313yes—
93C2×C42×C13—212no—
94C2×C42×C13C2313yes—
95C2×C42×C13C2313yes—
96C2×C42×C13C2313yes—
97C2×C42×C13C2313yes—
98C2×C22⋊Dic13C2313yes—
99C2×C22⋊Dic13C2313yes—
100C2×C22⋊Dic13C2311yescharacteristic
101#88200C2×C4124yescomplemented
102Q8×Dic13—24no—
103Q8×Dic13—24no—
104Q8×Dic13C2×C418yescomplemented
105#88198C2×C4124yescomplemented
106C4×C22⋊D13—212no—
107C4×C22⋊D13C2×C4124yes—
108C4×C22⋊D13Q818yesdirect product factor
109C2×#6103C2313yes—
110C2×#6103C2313yes—
111C2×#6103C2311yescharacteristic
112C2×C4⋊Dic13C2313yes—
113C2×C4⋊Dic13C2313yes—
114C2×C4⋊Dic13C2313yes—
115#88178C2×C4124yescomplemented
116C2×#6101C2316yes—
117C2×#6101C2313yes—
118C2×#6101C2316yes—
119C2×#6101C2316yes—
120C2×#6101C2313yes—
121C2×#6101C2311yescharacteristic
122C2×C4×Dic13C2313yes—
123C2×C4×Dic13C2313yes—
124C2×C4×Dic13C2313yes—
125C2×C4×Dic13C2313yes—
126C2×C4×Dic13C2313yes—
127C2×C4×Dic13C2313yes—
128C2×C4×Dic13C2313yes—
129C2×C4×Dic13C2313yes—
130C2×C4×Dic13C2311yescharacteristic
131C4⋊C4×D13—212no—
132#88141—212no—
133C42×D13—212no—
134C4×Dic26—212no—
135#88071C2313yes—
136#88071C2313yes—
137#88071C2316yes—
138#88071C2316yes—
139#88071C2313yes—
140#88071C2313yes—
141#88071C2313yes—
142#88071C2313yes—
143#88071C2316yes—
144C4×D4×Q8—131nomaximal, Sylow
145C24×C13C2411yescharacteristic
146C23×D13C2411yescharacteristic
147C2×Q8×C13—232no—
148C2×Q8×C13—26no—
149C2×Q8×C13—26no—
150C2×Q8×C13C22×C4112yes—
151C2×Q8×C13C22×C414yes—
152C2×Q8×C13C2×D414yes—
153C2×Q8×C13#4114yes—
154C22×C4×C13—22no—
155C22×C4×C13—26no—
156C22×C4×C13—26no—
157C22×C4×C13—22no—
158C22×C4×C13—26no—
159C22×C4×C13—26no—
160C22×C4×C13—43no—
161C22×C4×C13C22×C4112yes—
162C22×C4×C13C2×Q814yescomplemented
163C22×C4×C13C2413yes—
164C22×C4×C13C2413yes—
165C22×C4×C13C2413yes—
166C22×C4×C13C2411yescharacteristic
167C22×C4×C13C2413yes—
168C22×C4×C13C2411yescharacteristic
169C2×C22⋊D13C22×C414yes—
170C2×C22⋊D13C2×Q814yes—
171C2×C22⋊D13#4114yes—
172C22×Dic13C2413yes—
173C22×Dic13C2413yes—
174C22×Dic13C2413yes—
175C22×Dic13C2413yes—
176C22×Dic13C2411yescharacteristic
177C22×Dic13C2411yescharacteristic
178C22×Dic13C2411yescharacteristic
179Q8×D13—232no—
180C2×C4×D13—22no—
181C2×C4×D13—26no—
182C2×C4×D13—26no—
183C2×C4×D13—22no—
184C2×C4×D13—26no—
185C2×C4×D13—26no—
186C2×C4×D13—43no—
187C2×C4×D13C22×C4112yes—
188C2×C4×D13C2×Q814yescomplemented
189C2×Dic26—26no—
190C2×Dic26—26no—
191C2×Dic26C22×C4112yes—
192C13×C4⋊C4—212no—
193C13×C4⋊C4—26no—
194C13×C4⋊C4C2×D4112yes—
195C42×C13—26no—
196C42×C13—26no—
197C42×C13—26no—
198C42×C13C2×D4112yes—
199C22⋊Dic13—26no—
200C22⋊Dic13C22×C4112yes—
201C22⋊Dic13C2×Q814yescomplemented
202#6103—26no—
203#6103C22×C4112yes—
204#6103C2×Q814yescomplemented
205C4⋊Dic13—26no—
206C4⋊Dic13—26no—
207C4⋊Dic13C22×C4112yes—
208#6101—212no—
209#6101—26no—
210#6101—46no—
211#6101C22×C4124yes—
212#6101C22×C4112yes—
213#6101C2×Q814yescomplemented
214C4×Dic13—26no—
215C4×Dic13—26no—
216C4×Dic13—26no—
217C4×Dic13—26no—
218C4×Dic13—26no—
219C4×Dic13—26no—
220C4×Dic13—43no—
221C4×Dic13C22×C4112yes—
222C4×Dic13C2×Q814yescomplemented
223C2×D4×Q8—131no—
224C22×C4×Q8—131no—
225C22×C4×Q8D1311yescharacteristic, complemented
226#2365—133no—
227#2360—133no—
228#2360—133no—
229Q8×C4⋊C4—131no—
230D4×C4⋊C4—133no—
231Q8×C22⋊C4—131no—
232Q8×C22⋊C4—131no—
233C4×C4⋊Q8—133no—
234C4×C22⋊Q8—133no—
235C4×C22⋊Q8—133no—
236C42×Q8—131no—
237C42×D4—133no—
238C23×C13—21no—
239C23×C13—21no—
240C23×C13—21no—
241C23×C13—21no—
242C23×C13C23×C412yes—
243C23×C13C22×Q812yes—
244C23×C13C2×#4112yes—
245C23×C13C2511yescharacteristic
246C22×D13—21no—
247C22×D13—21no—
248C22×D13—21no—
249C22×D13—21no—
250C22×D13C23×C412yes—
251C22×D13C22×Q812yes—
252C22×D13C2×#4112yes—
253Q8×C13—224no—
254Q8×C13C4×D4116yescomplemented
255C2×C4×C13—21no—
256C2×C4×C13—23no—
257C2×C4×C13—23no—
258C2×C4×C13—23no—
259C2×C4×C13—21no—
260C2×C4×C13—23no—
261C2×C4×C13—224no—
262C2×C4×C13—28no—
263C2×C4×C13—23no—
264C2×C4×C13—23no—
265C2×C4×C13—23no—
266C2×C4×C13—412no—
267C2×C4×C13C23×C416yes—
268C2×C4×C13C23×C416yes—
269C2×C4×C13C22×D416yes—
270C2×C4×C13C22×D416yes—
271C2×C4×C13C22×D412yes—
272C2×C4×C13C22×Q812yes—
273C2×C4×C13C22×Q812yes—
274C2×C4×C13C2×#4116yes—
275C2×C4×C132−1+412yes—
276C22⋊D13C4×Q8116yesdirect product factor
277C2×Dic13—21no—
278C2×Dic13—23no—
279C2×Dic13—21no—
280C2×Dic13—23no—
281C2×Dic13—23no—
282C2×Dic13—21no—
283C2×Dic13—21no—
284C2×Dic13—23no—
285C2×Dic13—23no—
286C2×Dic13—23no—
287C2×Dic13—23no—
288C2×Dic13—23no—
289C2×Dic13—23no—
290C2×Dic13—23no—
291C2×Dic13C23×C416yes—
292C2×Dic13C23×C416yes—
293C2×Dic13C23×C412yes—
294C2×Dic13C22×Q812yes—
295C2×Dic13C22×Q812yes—
296C2×Dic13C22×Q812yes—
297C2×Dic13C2×#4112yes—
298C4×D13—224no—
299C4×D13—28no—
300C4×D13—412no—
301Dic26—224no—
302C23×Q8—131no—
303C23×Q8C2×D1311yescharacteristic
304D4×Q8—1316no—
305C2×C4⋊Q8—133no—
306C2×C22⋊Q8—133no—
307C2×C22⋊Q8—133no—
308C2×C4×Q8—28no—
309C2×C4×Q8—131no—
310C2×C4×Q8—131no—
311C2×C4×Q8—131no—
312C2×C4×Q8—133no—
313C2×C4×Q8—133no—
314C2×C4×Q8—268no—
315C2×C4×Q8C2×D1313yes—
316C2×C4×Q8C2×D1311yescharacteristic
317C2×C4×Q8C2×D1313yes—
318C2×C4×Q8C2×D1311yescharacteristic
319C2×C4×D4—133no—
320C2×C4×D4—131no—
321C2×C4×D4—133no—
322C22×C4⋊C4—133no—
323C22×C4⋊C4C2×D1313yes—
324C22×C42—133no—
325C22×C42C2×D1313yes—
326#391—133no—
327#391—133no—
328#391—133no—
329#391—133no—
330#389—136no—
331#389—136no—
332#389—133no—
333#389—133no—
334#387—136no—
335#387—136no—
336#385—136no—
337#385—136no—
338#384—133no—
339#380—133no—
340#380—133no—
341C4×C4⋊C4—133no—
342C4×C4⋊C4—133no—
343C4×C4⋊C4—133no—
344C4×C4⋊C4—136no—
345C4×C4⋊C4—133no—
346C4×C4⋊C4—133no—
347C4×C4⋊C4—133no—
348C4×C22⋊C4—133no—
349C4×C22⋊C4—133no—
350C4×C22⋊C4—133no—
351C4×C22⋊C4—133no—
352C4×C22⋊C4—133no—
353C4×C22⋊C4—133no—
354C43—133no—
355C22×C13—22no—
356C22×C13—22no—
357C22×C13—22no—
358C22×C13—22no—
359C22×C13—22no—
360C22×C13—22no—
361C22×C13C2×C4×Q814yescomplemented
362C22×C13C24×C411yescharacteristic
363C22×C13C23×D411yescharacteristic
364C22×C13C23×Q811yescharacteristic
365C22×C13C22×#4111yescharacteristic
366C22×C13C22×#4111yescharacteristic
367C22×C13C2×2−1+411yescharacteristic
368C22×C13#58511yescharacteristic
369C2×D13—22no—
370C2×D13—22no—
371C2×D13—22no—
372C2×D13—22no—
373C2×D13—22no—
374C2×D13—22no—
375C2×D13C2×C4×Q814yescomplemented
376C4×C13—26no—
377C4×C13—22no—
378C4×C13—26no—
379C4×C13—43no—
380C4×C13C2×C4×D4112yes—
381C4×C13D4×Q814yescomplemented
382Dic13—26no—
383Dic13—26no—
384Dic13—22no—
385Dic13—22no—
386Dic13—43no—
387Dic13—43no—
388Dic13C2×C4×Q814yescomplemented
389C22×Q8—24no—
390C22×Q8—24no—
391C22×Q8—138no—
392C22×Q8—133no—
393C22×Q8—264no—
394C22×Q8—264no—
395C22×Q8C4×D1318yescomplemented
396C22×Q8C22×D1313yes—
397C22×Q8C22×D1311yescharacteristic
398C22×D4—131no—
399C23×C4—133no—
400C23×C4—131no—
401C23×C4—133no—
402C23×C4C22×D1313yes—
403C23×C4C22×D1313yes—
404C23×C4C22×D1311yescharacteristic
405C4⋊Q8—1324no—
406C22⋊Q8—1324no—
407C22⋊Q8—1324no—
408C4×Q8—24no—
409C4×Q8—212no—
410C4×Q8—212no—
411C4×Q8—138no—
412C4×Q8—264no—
413C4×Q8—264no—
414C4×Q8—2612no—
415C4×Q8—2612no—
416C4×Q8C22⋊D1318yesdirect product factor
417C4×D4—1324no—
418C4×D4—138no—
419C4×D4—2612no—
420C2×C4⋊C4—212no—
421C2×C4⋊C4—133no—
422C2×C4⋊C4—131no—
423C2×C4⋊C4—133no—
424C2×C4⋊C4—136no—
425C2×C4⋊C4—136no—
426C2×C4⋊C4—133no—
427C2×C4⋊C4—133no—
428C2×C4⋊C4—133no—
429C2×C4⋊C4—136no—
430C2×C4⋊C4—2612no—
431C2×C4⋊C4C22×D1313yes—
432C2×C4⋊C4C22×D1316yes—
433C2×C4⋊C4C22×D1313yes—
434C2×C22⋊C4—133no—
435C2×C22⋊C4—131no—
436C2×C22⋊C4—133no—
437C2×C22⋊C4—131no—
438C2×C22⋊C4—133no—
439C2×C22⋊C4—133no—
440C2×C42—212no—
441C2×C42—133no—
442C2×C42—131no—
443C2×C42—133no—
444C2×C42—133no—
445C2×C42—133no—
446C2×C42—133no—
447C2×C42—133no—
448C2×C42—133no—
449C2×C42—133no—
450C2×C42—2612no—
451C2×C42C22×D1313yes—
452C2×C42C22×D1313yes—
453C2×C42C22×D1313yes—
454C2×C42C22×D1313yes—
455#95—133no—
456#95—133no—
457#95—133no—
458#95—133no—
459#95—133no—
460#95—133no—
461#95—136no—
462#95—136no—
463#95—136no—
464C2×C13—24no—
465C2×C13C22×C4×D411yescharacteristic
466C2×C13C22×C4×Q811yescharacteristic
467C2×C13C4×2−1+411yescharacteristic
468C2×C13C2×D4×Q811yescharacteristic
469C2×C13D4×#4111yescharacteristic
470C2×C13Q8×#4111yescharacteristic
471C2×C13#348211yescharacteristic
472D13—24no—
473C24—131no—
474C24C23×D1311yescharacteristic
475C2×Q8—232no—
476C2×Q8—26no—
477C2×Q8—26no—
478C2×Q8—1312no—
479C2×Q8—2632no—
480C2×Q8—266no—
481C2×Q8—266no—
482C2×Q8C2×C4×D13112yes—
483C2×Q8C2×C4×D1314yes—
484C2×Q8#612714yes—
485C2×Q8C2×C22⋊D1314yes—
486C2×D4—134no—
487C2×D4—134no—
488C2×D4—134no—
489C22×C4—26no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—26no—
493C22×C4—26no—
494C22×C4—26no—
495C22×C4—43no—
496C22×C4—131no—
497C22×C4—131no—
498C22×C4—131no—
499C22×C4—133no—
500C22×C4—133no—
501C22×C4—1312no—
502C22×C4—134no—
503C22×C4—133no—
504C22×C4—133no—
505C22×C4—266no—
506C22×C4—266no—
507C22×C4—262no—
508C22×C4—262no—
509C22×C4—266no—
510C22×C4—266no—
511C22×C4—523no—
512C22×C4C2×C4×D13112yes—
513C22×C4Q8×D1314yescomplemented
514C22×C4C23×D1313yes—
515C22×C4C23×D1313yes—
516C22×C4C23×D1311yescharacteristic
517C22×C4C23×D1313yes—
518C22×C4C23×D1313yes—
519C22×C4C23×D1311yescharacteristic
520C4⋊C4—212no—
521C4⋊C4—26no—
522C4⋊C4—1312no—
523C4⋊C4—1312no—
524C4⋊C4—1324no—
525C4⋊C4—134no—
526C4⋊C4—266no—
527C4⋊C4—266no—
528C4⋊C4—2612no—
529C4⋊C4—266no—
530C4⋊C4—526no—
531C4⋊C4C2×C22⋊D13112yes—
532C22⋊C4—1312no—
533C22⋊C4—134no—
534C22⋊C4—1312no—
535C22⋊C4—134no—
536C22⋊C4—266no—
537C22⋊C4—266no—
538C42—26no—
539C42—26no—
540C42—26no—
541C42—1312no—
542C42—134no—
543C42—266no—
544C42—266no—
545C42—266no—
546C42—266no—
547C42—266no—
548C42—266no—
549C42—523no—
550C42C2×C22⋊D13112yes—
551C13C4×D4×Q811yescharacteristic, complemented, Sylow
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—132no—
557C23—132no—
558C23—132no—
559C23—261no—
560C23—261no—
561C23—261no—
562C23—261no—
563C23C22×C4×D1312yes—
564C23C2×Q8×D1312yes—
565C23#41×D1312yes—
566C23C24×D1311yescharacteristic
567Q8—224no—
568Q8—2624no—
569Q8C4×C22⋊D13116yesdirect product factor
570D4—1316no—
571C2×C4—23no—
572C2×C4—21no—
573C2×C4—23no—
574C2×C4—23no—
575C2×C4—21no—
576C2×C4—23no—
577C2×C4—224no—
578C2×C4—28no—
579C2×C4—23no—
580C2×C4—23no—
581C2×C4—23no—
582C2×C4—412no—
583C2×C4—132no—
584C2×C4—132no—
585C2×C4—132no—
586C2×C4—136no—
587C2×C4—136no—
588C2×C4—132no—
589C2×C4—132no—
590C2×C4—261no—
591C2×C4—263no—
592C2×C4—263no—
593C2×C4—261no—
594C2×C4—261no—
595C2×C4—263no—
596C2×C4—261no—
597C2×C4—263no—
598C2×C4—2624no—
599C2×C4—268no—
600C2×C4—263no—
601C2×C4—263no—
602C2×C4—263no—
603C2×C4—263no—
604C2×C4—263no—
605C2×C4—263no—
606C2×C4—5212no—
607C2×C4C22×C4×D1316yes—
608C2×C4C22×C4×D1316yes—
609C2×C4C2×#612716yes—
610C2×C4C2×Q8×D1312yes—
611C2×C4C2×Q8×D1312yes—
612C2×C4#8825412yes—
613C2×C4C22×C22⋊D1316yes—
614C2×C4C22×C22⋊D1316yes—
615C2×C4C22×C22⋊D1312yes—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—22no—
621C22—22no—
622C22—134no—
623C22—262no—
624C22—262no—
625C22—262no—
626C22—262no—
627C22—262no—
628C22—262no—
629C22C4×Q8×D1314yescomplemented
630C22C23×C4×D1311yescharacteristic
631C22C22×#612711yescharacteristic
632C22C22×Q8×D1311yescharacteristic
633C22C2×#8825411yescharacteristic
634C22C2×#41×D1311yescharacteristic
635C22#1171964811yescharacteristic
636C22C23×C22⋊D1311yescharacteristic
637C4—26no—
638C4—22no—
639C4—26no—
640C4—43no—
641C4—134no—
642C4—266no—
643C4—266no—
644C4—262no—
645C4—262no—
646C4—523no—
647C4—523no—
648C4C2×C4×C22⋊D13112yes—
649C4Q8×C22⋊D1314yesdirect product factor
650C2—24no—
651C2—264no—
652C2C22×C4×C22⋊D1311yescharacteristic
653C2C2×C4×Q8×D1311yescharacteristic
654C2C4×#8825411yescharacteristic
655C2C2×Q8×C22⋊D1311yescharacteristic
656C2#41×C22⋊D1311yescharacteristic
657C2Q8×#612711yescharacteristic
658C2#1312845311yescharacteristic
subgroupG/H
centerC22×C4C23×D13
commutatorC22×C13C24×C4
FrattiniC23C24×D13
FittingC22×C4×Q8×C13C2
socle, cosocleC23×C13C25
prime radicalC22×C22⋊D13C23
hypercenterC22×C4×Q8D13
hypocenterC13C4×D4×Q8
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C22×C4×Q8

Complements

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

NH ≅ G/Ntype
2. C2×C4×Q8×D13C2semidirect
3. #13117890C2semidirect
4. #13117841C2semidirect
5. #13117837C2semidirect
6. Q8×#6101C2semidirect
8. Q8×C22⋊Dic13C2semidirect
9. Q8×#6103C2semidirect
10. C4×#88198C2semidirect
11. C4×#88178C2semidirect
12. C4×#88200C2semidirect
13. C4×Q8×Dic13C2semidirect
15. C22×C4×Q8×C13C2semidirect
25. Q8×C22⋊D13C4direct (N × H)
71. C22×Q8×C13C2×C4semidirect
80. C2×Q8×D13C2×C4semidirect
88. C4×Q8×C13D4semidirect
101. #88200C2×C4semidirect
104. Q8×Dic13C2×C4semidirect
105. #88198C2×C4semidirect
108. C4×C22⋊D13Q8direct (N × H)
115. #88178C2×C4semidirect
162. C22×C4×C13C2×Q8semidirect
188. C2×C4×D13C2×Q8semidirect
201. C22⋊Dic13C2×Q8semidirect
204. #6103C2×Q8semidirect
213. #6101C2×Q8semidirect
222. C4×Dic13C2×Q8semidirect
225. C22×C4×Q8D13semidirect
254. Q8×C13C4×D4semidirect
276. C22⋊D13C4×Q8direct (N × H)
361. C22×C13C2×C4×Q8semidirect
375. C2×D13C2×C4×Q8semidirect
381. C4×C13D4×Q8semidirect
388. Dic13C2×C4×Q8semidirect
395. C22×Q8C4×D13semidirect
416. C4×Q8C22⋊D13direct (N × H)
513. C22×C4Q8×D13semidirect
551. C13C4×D4×Q8semidirect
569. Q8C4×C22⋊D13direct (N × H)
629. C22C4×Q8×D13semidirect
649. C4Q8×C22⋊D13direct (N × H)

Maximal subgroups

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

subgroupindex
C2×Q8×C22⋊D132
C2×C4×Q8×D132
#131178902
#131178412
#131178372
Q8×#61012
C4⋊C4×C22⋊D132
Q8×C22⋊Dic132
Q8×#61032
C4×#881982
C4×#881782
C4×#882002
C4×Q8×Dic132
C42×C22⋊D132
C22×C4×Q8×C132
C4×D4×Q813