Finite Group Databasebeta

← Q8×#88135 #16022778

Subgroups — Q8×#88135 #16022778

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
2C22×Q8×Dic13C211yesmaximal, characteristic, complemented
3C2×C4×Q8×D13C211yesmaximal, characteristic, complemented
4#13117893C213yesmaximal, complemented
5#13117846C213yesmaximal, complemented
6#13117839C213yesmaximal, complemented
7Q8×#6101C211yesmaximal, characteristic, complemented
8#13117732C213yesmaximal
9Q8×#6103C211yesmaximal, characteristic, complemented
10#13117405C213yesmaximal, complemented
11#13117374C213yesmaximal, complemented
12#13117364C213yesmaximal, complemented
13C4×Q8×Dic13C211yesmaximal, characteristic, complemented
14C4×#88135C213yesmaximal
15Q8×C13×C22⋊C4C211yesmaximal, characteristic, complemented
16C23×Q8×C13C2211yescharacteristic
17C22×Q8×D13C2211yescharacteristic
18C2×C4×Q8×C13C2211yescharacteristic
19C2×C4×Q8×C13C2211yescharacteristic
20Q8×C22⋊D13C4116yescomplemented
21C2×#88200C2213yes—
22C2×Q8×Dic13—28no—
23C2×Q8×Dic13C2211yescharacteristic
24C2×Q8×Dic13C2213yes—
25C2×Q8×Dic13C2213yes—
26C2×Q8×Dic13C2211yescharacteristic
27C2×Q8×Dic13C2211yescharacteristic
28C2×#88198C2213yes—
29C2×C4×C22⋊D13C2213yes—
30C22×C4⋊Dic13C2213yes—
31C2×#88178C2213yes—
32C22×C4×Dic13C2213yes—
33C4×Q8×D13—28no—
34C2×C4⋊C4×D13C2213yes—
35C2×#88141C2213yes—
36C2×#88135C2213yes—
37C2×#88135C2211yescharacteristic
38C2×C42×D13C2213yes—
39C2×C4×Dic26C2213yes—
40C13×#391C2213yes—
41C13×#391C2213yes—
42C13×#380C2213yes—
43C4×C13×C22⋊C4C2213yes—
44#11718648C2213yes—
45#11718637C2213yes—
46C4⋊C4×Dic13C2213yes—
47C4⋊C4×Dic13C2213yes—
48#11718635C2213yes—
49#11718634C2213yes—
50#11718607C2216yes—
51C22⋊C4×Dic13C2213yes—
52C22⋊C4×Dic13C2213yes—
53C4×#6103C2213yes—
54C4×C4⋊Dic13C2213yes—
55C4×#6101C2213yes—
56C42×Dic13C2213yes—
57#11718590C2213yes—
58#11718589C2213yes—
59#11718329C2216yes—
60#11718327C2213yes—
61#11718327C2213yes—
62#11718316C2216yes—
63#11718313C2216yes—
64#11718310C2216yes—
65#11718310C2213yes—
66#11718310C2213yes—
67#11718308C2216yes—
68#11718308C2216yes—
69C22×Q8×C13—24no—
70C22×Q8×C13—24no—
71C22×Q8×C13C2×C418yescomplemented
72C22×Q8×C13C2313yes—
73C22×Q8×C13C2311yescharacteristic
74C23×C4×C13C2313yes—
75C22×C22⋊D13C2311yescharacteristic
76C23×Dic13C2313yes—
77C23×Dic13C2311yescharacteristic
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—24no—
87C2×C13×C4⋊C4C2313yes—
88C2×C13×C4⋊C4C2313yes—
89C2×C13×C22⋊C4C2313yes—
90C2×C13×C22⋊C4C2311yescharacteristic
91C2×C42×C13C2313yes—
92C2×C42×C13C2313yes—
93C2×C22⋊Dic13C2313yes—
94#88200C2×C4124yescomplemented
95Q8×Dic13—24no—
96Q8×Dic13—212no—
97Q8×Dic13—212no—
98Q8×Dic13C2×C418yescomplemented
99Q8×Dic13D418yescomplemented
100#88198C2×C4124yescomplemented
101C4×C22⋊D13C2×C4124yes—
102C2×#6103C2313yes—
103C2×#6103C2313yes—
104C2×#6103C2311yescharacteristic
105C2×C4⋊Dic13—212no—
106C2×C4⋊Dic13C2316yes—
107C2×C4⋊Dic13C2313yes—
108C2×C4⋊Dic13C2313yes—
109C2×C4⋊Dic13C2313yes—
110#88178C2×C4124yescomplemented
111C2×#6101C2316yes—
112C2×#6101C2313yes—
113C2×#6101C2316yes—
114C2×#6101C2316yes—
115C2×#6101C2313yes—
116C2×#6101C2311yescharacteristic
117C2×C4×Dic13—212no—
118C2×C4×Dic13C2313yes—
119C2×C4×Dic13C2313yes—
120C2×C4×Dic13C2313yes—
121C2×C4×Dic13C2313yes—
122C2×C4×Dic13C2313yes—
123C2×C4×Dic13C2313yes—
124C2×C4×Dic13C2313yes—
125C2×C4×Dic13C2313yes—
126C2×C4×Dic13C2313yes—
127C2×C4×Dic13C2313yes—
128C2×C4×Dic13C2311yescharacteristic
129C4⋊C4×D13—212no—
130#88141—212no—
131#88135—212no—
132#88135Q818yesdirect product factor
133C42×D13—212no—
134C4×Dic26—212no—
135C13×#95C2313yes—
136C13×#95C2313yes—
137C13×#95C2316yes—
138#88071C2313yes—
139#88071C2316yes—
140#88071C2313yes—
141#88071C2313yes—
142#88071C2316yes—
143#88071C2313yes—
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—26no—
155C22×C4×C13—26no—
156C22×C4×C13C22×C4112yes—
157C22×C4×C13C2413yes—
158C22×C4×C13C2413yes—
159C22×C4×C13C2413yes—
160C22×C4×C13C2411yescharacteristic
161C22×C4×C13C2411yescharacteristic
162C22×C4×C13C2413yes—
163C2×C22⋊D13C22×C414yes—
164C2×C22⋊D13C2×Q814yes—
165C2×C22⋊D13#4114yes—
166C22×Dic13—22no—
167C22×Dic13—22no—
168C22×Dic13—26no—
169C22×Dic13—26no—
170C22×Dic13—43no—
171C22×Dic13C2×Q814yescomplemented
172C22×Dic13C2413yes—
173C22×Dic13C2413yes—
174C22×Dic13C2413yes—
175C22×Dic13C2413yes—
176C22×Dic13C2411yescharacteristic
177C22×Dic13C2411yescharacteristic
178C22×Dic13C2411yescharacteristic
179Q8×D13—232no—
180C2×C4×D13—26no—
181C2×C4×D13—26no—
182C2×C4×D13—22no—
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—26no—
193C13×C4⋊C4—26no—
194C13×C22⋊C4—26no—
195C13×C22⋊C4C2×Q814yescomplemented
196C42×C13—26no—
197C42×C13—26no—
198C22⋊Dic13C22×C4112yes—
199#6103—26no—
200#6103C22×C4112yes—
201#6103C2×Q814yescomplemented
202C4⋊Dic13—26no—
203C4⋊Dic13—212no—
204C4⋊Dic13C22×C4112yes—
205C4⋊Dic13C2×D4112yes—
206#6101—212no—
207#6101—26no—
208#6101—46no—
209#6101C22×C4124yes—
210#6101C22×C4112yes—
211#6101C2×Q814yescomplemented
212C4×Dic13—26no—
213C4×Dic13—26no—
214C4×Dic13—26no—
215C4×Dic13—26no—
216C4×Dic13—26no—
217C4×Dic13—26no—
218C4×Dic13—26no—
219C4×Dic13—43no—
220C4×Dic13C22×C4112yes—
221C4×Dic13C2×D4112yes—
222C4×Dic13C2×Q814yescomplemented
223C2×D4×Q8—131no—
224C22×C4×Q8—131no—
225C22×C4×Q8—131no—
226#2365—133no—
227#2360—133no—
228#2360—133no—
229Q8×C4⋊C4—131no—
230D4×C4⋊C4—133no—
231Q8×C22⋊C4—131no—
232Q8×C22⋊C4D1311yescharacteristic, complemented
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—21no—
258C2×C4×C13—23no—
259C2×C4×C13—21no—
260C2×C4×C13—21no—
261C2×C4×C13—224no—
262C2×C4×C13—23no—
263C2×C4×C13—23no—
264C2×C4×C13—23no—
265C2×C4×C13—23no—
266C2×C4×C13—23no—
267C2×C4×C13—23no—
268C2×C4×C13C23×C416yes—
269C2×C4×C13C23×C416yes—
270C2×C4×C13C22×D416yes—
271C2×C4×C13C22×Q812yes—
272C2×C4×C13C22×Q812yes—
273C2×C4×C13C2×#4116yes—
274C22⋊D13C4×Q8116yescomplemented
275C2×Dic13—21no—
276C2×Dic13—23no—
277C2×Dic13—23no—
278C2×Dic13—23no—
279C2×Dic13—23no—
280C2×Dic13—21no—
281C2×Dic13—23no—
282C2×Dic13—23no—
283C2×Dic13—28no—
284C2×Dic13—23no—
285C2×Dic13—23no—
286C2×Dic13—23no—
287C2×Dic13—412no—
288C2×Dic13C23×C416yes—
289C2×Dic13C23×C416yes—
290C2×Dic13C23×C412yes—
291C2×Dic13C22×D416yes—
292C2×Dic13C22×D412yes—
293C2×Dic13C22×Q812yes—
294C2×Dic13C22×Q812yes—
295C2×Dic13C22×Q812yes—
296C2×Dic13C2×#4112yes—
297C2×Dic132−1+412yes—
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—131no—
309C2×C4×Q8—131no—
310C2×C4×Q8—133no—
311C2×C4×Q8—131no—
312C2×C4×Q8—133no—
313C2×C4×Q8—133no—
314C2×C4×Q8—133no—
315C2×C4×Q8—268no—
316C2×C4×Q8—268no—
317C2×C4×Q8C2×D1311yescharacteristic
318C2×C4×Q8C2×D1311yescharacteristic
319C2×C4×D4—133no—
320C2×C4×D4—131no—
321C2×C4×D4—133no—
322C22×C4⋊C4—133no—
323C22×C4⋊C4—133no—
324C22×C42—133no—
325C22×C42—133no—
326#391—133no—
327#391—133no—
328#391C2×D1313yes—
329#391C2×D1313yes—
330#389—133no—
331#389—133no—
332#389—136no—
333#389—136no—
334#387—136no—
335#387—136no—
336#385—136no—
337#385—136no—
338#384—133no—
339#380—133no—
340#380C2×D1313yes—
341C4×C4⋊C4—133no—
342C4×C4⋊C4—133no—
343C4×C4⋊C4—133no—
344C4×C4⋊C4—133no—
345C4×C4⋊C4—133no—
346C4×C4⋊C4—136no—
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⋊C4C2×D1313yes—
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—22no—
379C4×C13—43no—
380C4×C13—43no—
381C4×C13C2×C4×D4112yes—
382Dic13—26no—
383Dic13—26no—
384Dic13—22no—
385Dic13—26no—
386Dic13—43no—
387Dic13C2×C4×Q814yescomplemented
388Dic13D4×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—131no—
400C23×C4—133no—
401C23×C4—131no—
402C23×C4—133no—
403C23×C4—133no—
404C23×C4C22×D1313yes—
405C4⋊Q8—1324no—
406C22⋊Q8—1324no—
407C22⋊Q8—1324no—
408C4×Q8—24no—
409C4×Q8—24no—
410C4×Q8—138no—
411C4×Q8—138no—
412C4×Q8—2612no—
413C4×Q8—2612no—
414C4×Q8—2612no—
415C4×Q8—2612no—
416C4×Q8—264no—
417C4×D4—1324no—
418C4×D4—138no—
419C4×D4—2612no—
420C2×C4⋊C4—133no—
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—136no—
428C2×C4⋊C4—133no—
429C2×C4⋊C4—136no—
430C2×C4⋊C4—2612no—
431C2×C4⋊C4—2612no—
432C2×C4⋊C4C22×D1313yes—
433C2×C4⋊C4C22×D1313yes—
434C2×C22⋊C4—133no—
435C2×C22⋊C4—133no—
436C2×C22⋊C4—131no—
437C2×C22⋊C4—133no—
438C2×C22⋊C4C22×D1313yes—
439C2×C22⋊C4C22×D1311yescharacteristic
440C2×C42—133no—
441C2×C42—131no—
442C2×C42—133no—
443C2×C42—133no—
444C2×C42—133no—
445C2×C42—133no—
446C2×C42—133no—
447C2×C42—133no—
448C2×C42—133no—
449C2×C42—133no—
450C2×C42—133no—
451C2×C42—2612no—
452C2×C42—2612no—
453C2×C42C22×D1313yes—
454C2×C42C22×D1313yes—
455#95—133no—
456#95—133no—
457#95—133no—
458#95—133no—
459#95—136no—
460#95—136no—
461#95C22×D1313yes—
462#95C22×D1313yes—
463#95C22×D1316yes—
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×Q8D4×D1314yes—
485C2×Q8#612914yes—
486C2×D4—134no—
487C2×D4—134no—
488C2×D4—134no—
489C22×C4—26no—
490C22×C4—26no—
491C22×C4—131no—
492C22×C4—131no—
493C22×C4—134no—
494C22×C4—131no—
495C22×C4—133no—
496C22×C4—133no—
497C22×C4—133no—
498C22×C4—1312no—
499C22×C4—134no—
500C22×C4—133no—
501C22×C4—262no—
502C22×C4—262no—
503C22×C4—266no—
504C22×C4—266no—
505C22×C4—262no—
506C22×C4—262no—
507C22×C4—266no—
508C22×C4—266no—
509C22×C4—266no—
510C22×C4—266no—
511C22×C4—523no—
512C22×C4—523no—
513C22×C4C2×C4×D13112yes—
514C22×C4C23×D1313yes—
515C22×C4C23×D1313yes—
516C22×C4C23×D1313yes—
517C22×C4C23×D1311yescharacteristic
518C22×C4C23×D1311yescharacteristic
519C22×C4C23×D1313yes—
520C4⋊C4—26no—
521C4⋊C4—26no—
522C4⋊C4—1312no—
523C4⋊C4—1312no—
524C4⋊C4—1324no—
525C4⋊C4—1312no—
526C4⋊C4—134no—
527C4⋊C4—2612no—
528C4⋊C4—2612no—
529C4⋊C4—266no—
530C4⋊C4—266no—
531C4⋊C4—526no—
532C22⋊C4—26no—
533C22⋊C4—1312no—
534C22⋊C4—1312no—
535C22⋊C4—134no—
536C22⋊C4—266no—
537C22⋊C4Q8×D1314yescomplemented
538C42—26no—
539C42—26no—
540C42—1312no—
541C42—1312no—
542C42—134no—
543C42—266no—
544C42—266no—
545C42—266no—
546C42—266no—
547C42—266no—
548C42—266no—
549C42—266no—
550C42—523no—
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—
569Q8#88135116yesdirect product factor
570D4—1316no—
571C2×C4—21no—
572C2×C4—23no—
573C2×C4—21no—
574C2×C4—23no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—224no—
578C2×C4—23no—
579C2×C4—23no—
580C2×C4—23no—
581C2×C4—23no—
582C2×C4—23no—
583C2×C4—23no—
584C2×C4—132no—
585C2×C4—132no—
586C2×C4—132no—
587C2×C4—132no—
588C2×C4—132no—
589C2×C4—132no—
590C2×C4—136no—
591C2×C4—136no—
592C2×C4—136no—
593C2×C4—132no—
594C2×C4—268no—
595C2×C4—268no—
596C2×C4—261no—
597C2×C4—263no—
598C2×C4—263no—
599C2×C4—263no—
600C2×C4—263no—
601C2×C4—261no—
602C2×C4—263no—
603C2×C4—263no—
604C2×C4—2624no—
605C2×C4—263no—
606C2×C4—263no—
607C2×C4—263no—
608C2×C4—5212no—
609C2×C4—5212no—
610C2×C4C22×C4×D1316yes—
611C2×C4C22×C4×D1316yes—
612C2×C4C2×D4×D1316yes—
613C2×C4C2×#612916yes—
614C2×C4C2×Q8×D1312yes—
615C2×C4C2×Q8×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×D4×D1311yescharacteristic
632C22C22×#612911yescharacteristic
633C22C22×Q8×D1311yescharacteristic
634C22C2×#41×D1311yescharacteristic
635C22D13×2−1+411yescharacteristic
636C22#1171965211yescharacteristic
637C4—26no—
638C4—22no—
639C4—22no—
640C4—43no—
641C4—43no—
642C4—134no—
643C4—134no—
644C4—266no—
645C4—266no—
646C4—262no—
647C4—266no—
648C4—523no—
649C4C2×#88135112yes—
650C2—24no—
651C2—264no—
652C2C22×#8813511yescharacteristic
653C2C2×C4×Q8×D1311yescharacteristic
654C2#1312804511yescharacteristic
655C2D4×Q8×D1311yescharacteristic
656C2#1312832511yescharacteristic
657C2Q8×#612911yescharacteristic
658C2#1312845211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingQ8×C13×C22⋊C4C2
socle, cosocleC23×C13C25
prime radicalC22×C22⋊D13C23
hypercenterQ8×C22⋊C4D13
hypocenterC13C4×D4×Q8
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ Q8×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C22×Q8×Dic13C2semidirect
3. C2×C4×Q8×D13C2semidirect
4. #13117893C2semidirect
5. #13117846C2semidirect
6. #13117839C2semidirect
7. Q8×#6101C2semidirect
9. Q8×#6103C2semidirect
10. #13117405C2semidirect
11. #13117374C2semidirect
12. #13117364C2semidirect
13. C4×Q8×Dic13C2semidirect
15. Q8×C13×C22⋊C4C2semidirect
20. Q8×C22⋊D13C4semidirect
71. C22×Q8×C13C2×C4semidirect
80. C2×Q8×D13C2×C4semidirect
94. #88200C2×C4semidirect
98. Q8×Dic13C2×C4semidirect
99. Q8×Dic13D4semidirect
100. #88198C2×C4semidirect
110. #88178C2×C4semidirect
132. #88135Q8direct (N × H)
171. C22×Dic13C2×Q8semidirect
188. C2×C4×D13C2×Q8semidirect
195. C13×C22⋊C4C2×Q8semidirect
201. #6103C2×Q8semidirect
211. #6101C2×Q8semidirect
222. C4×Dic13C2×Q8semidirect
232. Q8×C22⋊C4D13semidirect
254. Q8×C13C4×D4semidirect
274. C22⋊D13C4×Q8semidirect
361. C22×C13C2×C4×Q8semidirect
375. C2×D13C2×C4×Q8semidirect
387. Dic13C2×C4×Q8semidirect
388. Dic13D4×Q8semidirect
395. C22×Q8C4×D13semidirect
537. C22⋊C4Q8×D13semidirect
551. C13C4×D4×Q8semidirect
569. Q8#88135direct (N × H)
629. C22C4×Q8×D13semidirect

Maximal subgroups

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

subgroupindex
C2×Q8×C22⋊D132
C22×Q8×Dic132
C2×C4×Q8×D132
#131178932
#131178462
#131178392
Q8×#61012
#131177322
Q8×#61032
#131174052
#131173742
#131173642
C4×Q8×Dic132
C4×#881352
Q8×C13×C22⋊C42
C4×D4×Q813