Finite Group Databasebeta

← #515295

Subgroups — #515295

Order 512.

7202 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#518C211yesmaximal, characteristic
2C2×#2315C211yesmaximal, characteristic, complemented
3C2×#2308C211yesmaximal, characteristic
4C22×#386C211yesmaximal, characteristic
5C22×#380C211yesmaximal, characteristic, complemented
6#14016C214yesmaximal, complemented
7#14015C214yesmaximal, complemented
8#13975C218yesmaximal, complemented
9#13878C214yesmaximal, complemented
10#13877C214yesmaximal, complemented
11#13794C211yesmaximal, characteristic, complemented
12C2×C22⋊#95C211yesmaximal, characteristic, complemented
13C24×D4C2211yescharacteristic
14C25×C4C2211yescharacteristic
15C2×#518—28no—
16C2×#518—28no—
17C2×#518—28no—
18C22×C4×D4C2214yes—
19C22×C4×D4C2214yes—
20C22×#117C2212yes—
21C23×C4⋊C4C2212yescomplemented
22C23×C22⋊C4C2211yescharacteristic
23C23×C22⋊C4C2212yes—
24C23×C22⋊C4C2211yescharacteristic
25C23×C22⋊C4C2211yescharacteristic
26C23×C22⋊C4C2211yescharacteristic
27C23×C22⋊C4C2211yescharacteristic
28C23×C22⋊C4C2212yes—
29#2315—28no—
30#2308—28no—
31C2×#386C4116yescomplemented
32C2×#386C2214yes—
33C2×#386C2214yes—
34C2×#386C2214yes—
35C2×#386C2212yes—
36C2×#386C2212yes—
37C2×#385C2214yescomplemented
38C2×#385C2214yescomplemented
39C2×#385C2218yescomplemented
40C2×#381C2212yes—
41C2×#380—28no—
42C2×#380C2214yes—
43C2×#380C2214yes—
44C2×#380C2214yescomplemented
45C2×#379C2212yes—
46C22×#95C2212yes—
47C22×#95C2212yescomplemented
48C22×#95C2214yescomplemented
49#1444C2218yescomplemented
50#1442C2218yescomplemented
51#1439C2218yescomplemented
52#1439C2218yescomplemented
53#1436C2218yescomplemented
54#1436C2218yescomplemented
55C22⋊#95C2214yes—
56C22⋊#95C2214yes—
57C22⋊#95C2218yescomplemented
58C22⋊#95C2214yescomplemented
59C22⋊#95C2212yescomplemented
60C22⋊#95C2212yescomplemented
61C22⋊#95C2214yescomplemented
62C26C2311yescharacteristic
63C26C2311yescharacteristic
64C23×D4—24no—
65C23×D4—24no—
66C23×D4—24no—
67C23×D4—24no—
68C23×D4C2×C418yes—
69C23×D4D418yes—
70C23×D4Q818yes—
71C23×D4C2312yes—
72C23×D4C2312yes—
73C24×C4—24no—
74C24×C4—24no—
75C24×C4—48no—
76C24×C4C2×C418yescomplemented
77C24×C4C2311yescharacteristic
78C24×C4C2312yes—
79C24×C4C2312yes—
80C24×C4C2311yescharacteristic
81C24×C4C2312yes—
82C24×C4C2314yes—
83C24×C4C2312yes—
84C24×C4C2311yescharacteristic
85C24×C4C2312yes—
86C24×C4C2312yes—
87C24×C4C2312yes—
88#518—2128no—
89C2×C4×D4—216no—
90C2×C4×D4—216no—
91C2×C4×D4—216no—
92C2×C4×D4—216no—
93C2×C4×D4—216no—
94C2×C4×D4—216no—
95C2×#117—28no—
96C2×#117—28no—
97C2×#117—28no—
98C22×C4⋊C4—28no—
99C22×C4⋊C4—48no—
100C22×C4⋊C4C2314yes—
101C22×C4⋊C4C2318yes—
102C22×C4⋊C4C2318yes—
103C22×C22⋊C4—24no—
104C22×C22⋊C4—28no—
105C22×C22⋊C4—24no—
106C22×C22⋊C4—24no—
107C22×C22⋊C4—24no—
108C22×C22⋊C4—24no—
109C22×C22⋊C4—24no—
110C22×C22⋊C4—28no—
111C22×C22⋊C4—28no—
112C22×C22⋊C4—24no—
113C22×C22⋊C4—24no—
114C22×C22⋊C4—24no—
115C22×C22⋊C4—24no—
116C22×C22⋊C4—24no—
117C22×C22⋊C4—24no—
118C22×C22⋊C4—48no—
119C22×C22⋊C4C2×C418yescomplemented
120C22×C22⋊C4C2×C4116yescomplemented
121C22×C22⋊C4D418yes—
122C22×C22⋊C4D418yes—
123C22×C22⋊C4C2314yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2314yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2312yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2312yes—
135C22×C22⋊C4C2318yes—
136C22×C22⋊C4C2314yes—
137C22×C42C2314yes—
138#386—216no—
139#386—216no—
140#386C2×C4116yescomplemented
141#386C2×C4132yescomplemented
142#386C2×C4116yescomplemented
143#385—216no—
144#385—216no—
145#385—416no—
146#381—28no—
147#380—216no—
148#380—216no—
149#380—216no—
150#379—28no—
151C2×#95—28no—
152C2×#95—48no—
153C2×#95C2×C4116yescomplemented
154C2×#95C2318yes—
155C2×#95C2318yes—
156C2×#95C2318yes—
157C2×#95C2318yes—
158C2×#95C2318yes—
159C2×#95C2318yes—
160C2×#95C2318yes—
161C2×#95C2314yes—
162C2×#95C2314yes—
163C25—22no—
164C25—22no—
165C25—22no—
166C25—22no—
167C25—44no—
168C25—44no—
169C25—44no—
170C25—44no—
171C25C22×C414yes—
172C25C22×C414yes—
173C25C2×D414yes—
174C25C2×D414yes—
175C25C2×D414yes—
176C25C2×D414yes—
177C25C2×Q814yes—
178C25C2×Q814yes—
179C25#4114yes—
180C25#4114yes—
181C25C2412yes—
182C25C2411yescharacteristic
183C25C2411yescharacteristic
184C25C2411yescharacteristic
185C22×D4—232no—
186C22×D4—232no—
187C22×D4—232no—
188C22×D4—232no—
189C22×D4—232no—
190C22×D4—232no—
191C22×D4—24no—
192C22×D4—24no—
193C22×D4—24no—
194C22×D4—24no—
195C22×D4—24no—
196C22×D4—24no—
197C22×D4—24no—
198C22×D4—24no—
199C22×D4C4⋊C4164yescomplemented
200C22×D4C22×C418yes—
201C22×D4C22×C418yes—
202C22×D4C2×D418yes—
203C22×D4C2×D418yes—
204C22×D4C2×Q818yes—
205C22×D4C2×Q818yes—
206C23×C4—22no—
207C23×C4—22no—
208C23×C4—22no—
209C23×C4—22no—
210C23×C4—22no—
211C23×C4—22no—
212C23×C4—28no—
213C23×C4—232no—
214C23×C4—22no—
215C23×C4—24no—
216C23×C4—24no—
217C23×C4—24no—
218C23×C4—24no—
219C23×C4—22no—
220C23×C4—28no—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4—24no—
224C23×C4—24no—
225C23×C4—24no—
226C23×C4—24no—
227C23×C4—28no—
228C23×C4—28no—
229C23×C4—28no—
230C23×C4—28no—
231C23×C4—24no—
232C23×C4—24no—
233C23×C4—24no—
234C23×C4—24no—
235C23×C4—24no—
236C23×C4—24no—
237C23×C4—432no—
238C23×C4—44no—
239C23×C4—44no—
240C23×C4—44no—
241C23×C4—44no—
242C23×C4—44no—
243C23×C4—44no—
244C23×C4—44no—
245C23×C4—44no—
246C23×C4—44no—
247C23×C4—44no—
248C23×C4—44no—
249C23×C4—44no—
250C23×C4—44no—
251C23×C4—48no—
252C23×C4—48no—
253C23×C4—432no—
254C23×C4—432no—
255C23×C4C22×C414yes—
256C23×C4C22×C418yes—
257C23×C4C22×C418yes—
258C23×C4C22×C414yes—
259C23×C4C22×C418yes—
260C23×C4C22×C414yes—
261C23×C4C2×D414yes—
262C23×C4C2×D418yes—
263C23×C4C2×D418yes—
264C23×C4C2×Q814yes—
265C23×C4C2414yes—
266C23×C4C2414yes—
267C23×C4C2414yes—
268C23×C4C2412yes—
269C23×C4C2414yes—
270C23×C4C2414yes—
271C23×C4C2412yes—
272C23×C4C2412yes—
273C4×D4—2128no—
274C4×D4—2128no—
275#117—264no—
276C2×C4⋊C4—28no—
277C2×C4⋊C4—28no—
278C2×C4⋊C4—28no—
279C2×C4⋊C4—216no—
280C2×C4⋊C4—216no—
281C2×C4⋊C4—216no—
282C2×C4⋊C4—48no—
283C2×C4⋊C4—432no—
284C2×C4⋊C4—48no—
285C2×C4⋊C4—48no—
286C2×C22⋊C4—264no—
287C2×C22⋊C4—232no—
288C2×C22⋊C4—232no—
289C2×C22⋊C4—232no—
290C2×C22⋊C4—24no—
291C2×C22⋊C4—24no—
292C2×C22⋊C4—24no—
293C2×C22⋊C4—24no—
294C2×C22⋊C4—28no—
295C2×C22⋊C4—24no—
296C2×C22⋊C4—24no—
297C2×C22⋊C4—24no—
298C2×C22⋊C4—24no—
299C2×C22⋊C4—24no—
300C2×C22⋊C4—24no—
301C2×C22⋊C4—24no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—28no—
304C2×C22⋊C4—28no—
305C2×C22⋊C4—216no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—24no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—24no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—24no—
316C2×C22⋊C4—24no—
317C2×C22⋊C4—24no—
318C2×C22⋊C4—216no—
319C2×C22⋊C4—432no—
320C2×C22⋊C4—48no—
321C2×C22⋊C4—416no—
322C2×C22⋊C4—416no—
323C2×C22⋊C4—48no—
324C2×C22⋊C4—48no—
325C2×C22⋊C4C22×C418yes—
326C2×C22⋊C4C22×C418yes—
327C2×C22⋊C4C22×C4116yes—
328C2×C22⋊C4C22×C4116yes—
329C2×C22⋊C4C2×D418yes—
330C2×C22⋊C4C2×D418yes—
331C2×C22⋊C4C2×D418yes—
332C2×C22⋊C4C2×D418yes—
333C2×C42—28no—
334C2×C42—28no—
335C2×C42—28no—
336#95—216no—
337#95—216no—
338#95—216no—
339#95—216no—
340#95—48no—
341#95—48no—
342#95—48no—
343#95C22×C4116yes—
344#95C22×C4116yes—
345C24—24no—
346C24—24no—
347C24—24no—
348C24—24no—
349C24—24no—
350C24—24no—
351C24—22no—
352C24—22no—
353C24—22no—
354C24—22no—
355C24—28no—
356C24—28no—
357C24—28no—
358C24—28no—
359C24—28no—
360C24—28no—
361C24—28no—
362C24—28no—
363C24—48no—
364C24—48no—
365C24—48no—
366C24—48no—
367C24—48no—
368C24—416no—
369C24—416no—
370C24—416no—
371C24—48no—
372C24—416no—
373C24—48no—
374C24—48no—
375C24—416no—
376C24—416no—
377C24—84no—
378C24—84no—
379C24—84no—
380C24—84no—
381C24—88no—
382C24—88no—
383C24C2×C4⋊C4116yes—
384C24C2×C4⋊C4116yescomplemented
385C24C4×D4116yes—
386C24C4×D4116yes—
387C24#120116yes—
388C24C22⋊Q8116yes—
389C24C22⋊Q8116yes—
390C24#123116yes—
391C24C23×C414yes—
392C24C23×C412yes—
393C24C23×C412yes—
394C24C23×C412yes—
395C24C22×D414yes—
396C24C22×D412yes—
397C24C22×D412yes—
398C24C22×D412yes—
399C24C22×D412yes—
400C24C22×D412yes—
401C24C22×D412yes—
402C24C22×D412yes—
403C24C22×D412yes—
404C24C22×D412yes—
405C24C22×Q814yes—
406C24C22×Q812yes—
407C24C22×Q812yes—
408C24C22×Q812yes—
409C24C2×#4112yes—
410C24C2×#4112yes—
411C24C2×#4112yes—
412C24C2×#4112yes—
413C24C2×#4112yes—
414C24C2×#4112yes—
415C24C2511yescharacteristic
416C2×D4—216no—
417C2×D4—216no—
418C2×D4—216no—
419C2×D4—216no—
420C2×D4—216no—
421C2×D4—216no—
422C2×D4—216no—
423C2×D4—216no—
424C2×D4—216no—
425C2×D4—216no—
426C2×D4—216no—
427C2×D4—216no—
428C2×D4—2256no—
429C2×D4C2×C4⋊C4132yes—
430C2×D4C2×C4⋊C4132yescomplemented
431C22×C4—216no—
432C22×C4—216no—
433C22×C4—28no—
434C22×C4—28no—
435C22×C4—28no—
436C22×C4—28no—
437C22×C4—28no—
438C22×C4—28no—
439C22×C4—28no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—24no—
447C22×C4—216no—
448C22×C4—216no—
449C22×C4—216no—
450C22×C4—28no—
451C22×C4—22no—
452C22×C4—24no—
453C22×C4—24no—
454C22×C4—24no—
455C22×C4—24no—
456C22×C4—24no—
457C22×C4—24no—
458C22×C4—22no—
459C22×C4—28no—
460C22×C4—24no—
461C22×C4—28no—
462C22×C4—28no—
463C22×C4—24no—
464C22×C4—28no—
465C22×C4—28no—
466C22×C4—28no—
467C22×C4—232no—
468C22×C4—216no—
469C22×C4—216no—
470C22×C4—216no—
471C22×C4—216no—
472C22×C4—216no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—28no—
480C22×C4—28no—
481C22×C4—28no—
482C22×C4—28no—
483C22×C4—48no—
484C22×C4—48no—
485C22×C4—48no—
486C22×C4—48no—
487C22×C4—48no—
488C22×C4—48no—
489C22×C4—48no—
490C22×C4—416no—
491C22×C4—416no—
492C22×C4—416no—
493C22×C4—416no—
494C22×C4—416no—
495C22×C4—4128no—
496C22×C4—48no—
497C22×C4—48no—
498C22×C4—48no—
499C22×C4—48no—
500C22×C4—416no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—88no—
504C22×C4—88no—
505C22×C4—816no—
506C22×C4—84no—
507C22×C4—84no—
508C22×C4—88no—
509C22×C4—88no—
510C22×C4—88no—
511C22×C4—88no—
512C22×C4—816no—
513C22×C4—88no—
514C22×C4—84no—
515C22×C4—84no—
516C22×C4—88no—
517C22×C4—88no—
518C22×C4—88no—
519C22×C4C2×C4⋊C4116yescomplemented
520C22×C4C23×C418yes—
521C22×C4C23×C414yes—
522C22×C4C23×C414yes—
523C22×C4C23×C414yes—
524C22×C4C22×D418yes—
525C22×C4C22×D418yes—
526C22×C4C22×D414yes—
527C22×C4C22×Q814yes—
528C22×C4H(5,𝔽2)18yes—
529C4⋊C4—232no—
530C4⋊C4—432no—
531C4⋊C4—816no—
532C22⋊C4—232no—
533C22⋊C4—216no—
534C22⋊C4—216no—
535C22⋊C4—216no—
536C22⋊C4—216no—
537C22⋊C4—216no—
538C22⋊C4—216no—
539C22⋊C4—232no—
540C22⋊C4—416no—
541C22⋊C4—48no—
542C22⋊C4—48no—
543C22⋊C4—48no—
544C22⋊C4—48no—
545C22⋊C4—816no—
546C42—232no—
547C23—24no—
548C23—24no—
549C23—24no—
550C23—24no—
551C23—24no—
552C23—24no—
553C23—24no—
554C23—24no—
555C23—24no—
556C23—24no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—28no—
566C23—28no—
567C23—28no—
568C23—28no—
569C23—28no—
570C23—28no—
571C23—28no—
572C23—28no—
573C23—28no—
574C23—28no—
575C23—28no—
576C23—28no—
577C23—24no—
578C23—24no—
579C23—28no—
580C23—28no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—24no—
585C23—216no—
586C23—216no—
587C23—232no—
588C23—416no—
589C23—432no—
590C23—416no—
591C23—432no—
592C23—432no—
593C23—432no—
594C23—432no—
595C23—432no—
596C23—432no—
597C23—44no—
598C23—44no—
599C23—44no—
600C23—44no—
601C23—48no—
602C23—48no—
603C23—816no—
604C23—816no—
605C23—816no—
606C23—816no—
607C23—88no—
608C23—88no—
609C23—816no—
610C23#385164yescomplemented
611C23C22×C4⋊C418yes—
612C23C22×C4⋊C414yes—
613C23C22×C4⋊C414yes—
614C23C22×C4⋊C414yes—
615C23C2×C4×D414yes—
616C23C2×C4×D414yes—
617C23C2×C4×D414yes—
618C23C2×C4×D414yes—
619C23C2×C4×D414yes—
620C23C2×C4×D414yes—
621C23C2×#12014yes—
622C23C2×#12014yes—
623C23C2×#12014yes—
624C23C2×C22⋊Q814yes—
625C23C2×C22⋊Q814yes—
626C23C2×C22⋊Q814yes—
627C23C2×C22⋊Q814yes—
628C23C2×C22⋊Q814yes—
629C23C2×C22⋊Q814yes—
630C23C2×#12314yes—
631C23C2×#12314yes—
632C23C2×#12314yes—
633C23C24×C411yescharacteristic
634C23C23×D411yescharacteristic
635C23C23×D411yescharacteristic
636C23C23×D411yescharacteristic
637C23C23×Q811yescharacteristic
638C23C22×#4111yescharacteristic
639C23C22×#4111yescharacteristic
640C23C2×H(5,𝔽2)14yes—
641C23#58514yes—
642D4—264no—
643D4—264no—
644C2×C4—232no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—28no—
654C2×C4—28no—
655C2×C4—232no—
656C2×C4—28no—
657C2×C4—24no—
658C2×C4—28no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—28no—
662C2×C4—28no—
663C2×C4—28no—
664C2×C4—28no—
665C2×C4—28no—
666C2×C4—216no—
667C2×C4—432no—
668C2×C4—432no—
669C2×C4—416no—
670C2×C4—44no—
671C2×C4—44no—
672C2×C4—44no—
673C2×C4—44no—
674C2×C4—48no—
675C2×C4—48no—
676C2×C4—48no—
677C2×C4—48no—
678C2×C4—48no—
679C2×C4—44no—
680C2×C4—44no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—48no—
686C2×C4—48no—
687C2×C4—48no—
688C2×C4—48no—
689C2×C4—816no—
690C2×C4—816no—
691C2×C4—816no—
692C2×C4—832no—
693C2×C4—816no—
694C2×C4—816no—
695C2×C4C22×C4⋊C418yes—
696C2×C4#51818yescomplemented
697C22—28no—
698C22—28no—
699C22—28no—
700C22—28no—
701C22—28no—
702C22—28no—
703C22—28no—
704C22—28no—
705C22—28no—
706C22—28no—
707C22—28no—
708C22—28no—
709C22—28no—
710C22—28no—
711C22—28no—
712C22—24no—
713C22—24no—
714C22—24no—
715C22—24no—
716C22—24no—
717C22—24no—
718C22—28no—
719C22—28no—
720C22—28no—
721C22—216no—
722C22—28no—
723C22—464no—
724C22—48no—
725C22—48no—
726C22—48no—
727C22—48no—
728C22—44no—
729C22—44no—
730C22—48no—
731C22—832no—
732C22C2×#38518yes—
733C22C2×#38518yes—
734C22C2×#38518yes—
735C22C23×C4⋊C411yescharacteristic
736C22C22×C4×D411yescharacteristic
737C22C22×C4×D411yescharacteristic
738C22C2×#51812yes—
739C22#342812yes—
740C22C22×#12011yescharacteristic
741C22C22×C22⋊Q811yescharacteristic
742C22C22×C22⋊Q811yescharacteristic
743C22C22×#12311yescharacteristic
744C22#348412yes—
745C22#348512yes—
746C22#349012yes—
747C22#349112yes—
748C22#349614yes—
749C22#349614yes—
750C22#350114yes—
751C22#350514yes—
752C4—28no—
753C4—28no—
754C4—48no—
755C4—48no—
756C4—44no—
757C4—48no—
758C4—84no—
759C4—84no—
760C2—28no—
761C2—28no—
762C2—28no—
763C2—48no—
764C2C22×#38511yescharacteristic
765C2#3418112yes—
766C2#3419811yescharacteristic
767C2#3419911yescharacteristic
768C2#3420512yes—
769C2#3534712yes—
770C2#3534912yes—
771C2#3535912yes—
772C2#3536012yes—
subgroupG/H
center, Frattini, socle, cosocleC24C25
commutatorC23C24×C4
prime radicalC24×D4C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2315C2semidirect
5. C22×#380C2semidirect
6. #14016C2semidirect
7. #14015C2semidirect
8. #13975C2semidirect
9. #13878C2semidirect
10. #13877C2semidirect
11. #13794C2semidirect
12. C2×C22⋊#95C2semidirect
21. C23×C4⋊C4C22semidirect
31. C2×#386C4semidirect
37. C2×#385C22semidirect
38. C2×#385C22semidirect
39. C2×#385C22semidirect
44. C2×#380C22semidirect
47. C22×#95C22semidirect
48. C22×#95C22semidirect
49. #1444C22semidirect
50. #1442C22semidirect
51. #1439C22semidirect
52. #1439C22semidirect
53. #1436C22semidirect
54. #1436C22semidirect
57. C22⋊#95C22semidirect
58. C22⋊#95C22semidirect
59. C22⋊#95C22semidirect
60. C22⋊#95C22semidirect
61. C22⋊#95C22semidirect
76. C24×C4C2×C4semidirect
119. C22×C22⋊C4C2×C4semidirect
120. C22×C22⋊C4C2×C4semidirect
140. #386C2×C4semidirect
141. #386C2×C4semidirect
142. #386C2×C4semidirect
153. C2×#95C2×C4semidirect
199. C22×D4C4⋊C4semidirect
384. C24C2×C4⋊C4semidirect
430. C2×D4C2×C4⋊C4semidirect
519. C22×C4C2×C4⋊C4semidirect
610. C23#385semidirect
696. C2×C4#518semidirect

Maximal subgroups

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

subgroupindex
C22×#5182
C2×#23152
C2×#23082
C22×#3862
C22×#3802
#140162
#140152
#139752
#138782
#138772
#137942
C2×C22⋊#952