Finite Group Databasebeta

← #704597

Subgroups — #704597

Order 512.

3112 conjugacy classes of subgroups.

The subgroup lattice has 801 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2502C211yesmaximal, characteristic, complemented
2C2×#2486C211yesmaximal, characteristic
3C2×#2415C211yesmaximal, characteristic
4C2×#2625C211yesmaximal, characteristic, complemented
5C2×#2395C211yesmaximal, characteristic
6C2×#2317C211yesmaximal, characteristic, complemented
7#17062C212yesmaximal, complemented
8#16964C212yesmaximal, complemented
9#15539C214yesmaximal, complemented
10#15384C214yesmaximal
11#15193C212yesmaximal, complemented
12#15145C212yesmaximal, complemented
13#15135C212yesmaximal, complemented
14#15020C212yesmaximal, complemented
15#13997C212yesmaximal, complemented
16#13910C212yesmaximal, complemented
17#13801C211yesmaximal, characteristic, complemented
18C22×#123C2212yes—
19C22×C22⋊Q8C2211yescharacteristic
20C22×C22⋊Q8C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22C22×#117C2211yescharacteristic
23C22×#117C2211yescharacteristic
24C23×C4⋊C4C2211yescharacteristic
25#2625—28no—
26#2502—28no—
27#2486—28no—
28#2415—28no—
29#2395—28no—
30C2×#400C2212yes—
31C2×#400C2211yescharacteristic
32C2×#399C2211yescharacteristic
33C2×#399C2214yes—
34C2×#398C2211yescharacteristic
35C2×#398C2212yes—
36C2×#398C2212yes—
37C2×#398C2212yes—
38C2×#398C2212yes—
39C2×#397C2214yes—
40C2×#397C2212yes—
41C2×#397C2211yescharacteristic
42C2×#397C2212yes—
43C2×#397C2212yes—
44C2×#394C2212yes—
45C2×#394C2212yes—
46#2317—28no—
47C2×#391C2212yes—
48C2×#391C2211yescharacteristic
49C2×#391C2212yes—
50C2×#389C2212yes—
51C2×#389C2212yes—
52C2×#389C2212yes—
53C2×#389C2212yes—
54C2×#389C2211yescharacteristic
55C2×#389C2212yes—
56C2×#388C2212yes—
57C2×#385C2214yes—
58C2×#385C2214yes—
59C2×#384C2212yes—
60C2×#384C2212yes—
61C2×#384C2214yes—
62C2×#382C2212yes—
63C2×#381C2212yes—
64C2×#380C2211yescharacteristic
65C2×#380C2212yes—
66C2×#380C2211yescharacteristic
67C2×C4×C4⋊C4C2212yes—
68C2×C4×C4⋊C4C2212yes—
69C2×C4×C22⋊C4C2212yes—
70C2×C4×C22⋊C4C2211yescharacteristic
71#1445C2214yes—
72#1445C2214yes—
73#1445C2214yes—
74#1445C2214yes—
75#1445C2214yes—
76#1444C2214yes—
77#1444C2214yes—
78#1444C2214yes—
79#1444C2214yes—
80#1439C2214yes—
81#1439C2214yes—
82#1437C2214yes—
83#1437C2214yes—
84C4⋊#95C2212yes—
85C4⋊#95C2214yes—
86C4⋊#95C2214yes—
87#1434C2212yes—
88C4×#95C2212yes—
89C23×Q8C2311yescharacteristic
90C23×D4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C24×C4C2312yes—
94C2×#123—28no—
95C2×#123—44no—
96C2×#123—44no—
97C2×C22⋊Q8—24no—
98C2×C22⋊Q8—24no—
99C2×C22⋊Q8—24no—
100C2×C22⋊Q8—24no—
101C2×C22⋊Q8—28no—
102C2×C4×D4—24no—
103C2×C4×D4—24no—
104C2×C4×D4—24no—
105C2×#117—24no—
106C2×#117—24no—
107C2×#117—24no—
108C2×#117—28no—
109C2×#117D418yes—
110C22×C4⋊C4—24no—
111C22×C4⋊C4—24no—
112C22×C4⋊C4—24no—
113C22×C4⋊C4C2312yes—
114C22×C4⋊C4C2311yescharacteristic
115C22×C4⋊C4C2312yes—
116C22×C4⋊C4C2312yes—
117C22×C4⋊C4C2311yescharacteristic
118C22×C4⋊C4C2312yes—
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2312yes—
121C22×C4⋊C4C2311yescharacteristic
122C22×C4⋊C4C2312yes—
123C22×C4⋊C4C2312yes—
124C22×C4⋊C4C2314yes—
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2312yes—
127C22×C4⋊C4C2314yes—
128C22×C4⋊C4C2314yes—
129C22×C4⋊C4C2314yes—
130C22×C4⋊C4C2314yes—
131C22×C4⋊C4C2314yes—
132C22×C4⋊C4C2311yescharacteristic
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2312yes—
135C22×C22⋊C4C2312yes—
136C22×C22⋊C4C2312yes—
137C22×C22⋊C4C2311yescharacteristic
138C22×C22⋊C4C2311yescharacteristic
139C22×C22⋊C4C2312yes—
140C22×C22⋊C4C2312yes—
141C22×C22⋊C4C2314yes—
142C22×C22⋊C4C2312yes—
143C22×C22⋊C4C2312yes—
144C22×C22⋊C4C2312yes—
145C22×C42C2312yes—
146C22×C42C2311yescharacteristic
147C22×C42C2314yes—
148C22×C42C2312yes—
149C22×C42C2312yes—
150#400—28no—
151#400—24no—
152#399—24no—
153#399—48no—
154#398—28no—
155#398—24no—
156#398—28no—
157#398—28no—
158#398—28no—
159#397—216no—
160#397—28no—
161#397—28no—
162#397—24no—
163#397—28no—
164#394—28no—
165#394—28no—
166#391—28no—
167#391—24no—
168#391—28no—
169#389—28no—
170#389—28no—
171#389—28no—
172#389—24no—
173#389—28no—
174#389—28no—
175#388—28no—
176#385—216no—
177#385—216no—
178#384—28no—
179#384—28no—
180#384—48no—
181#382—28no—
182#381—28no—
183#380—24no—
184#380—28no—
185#380D418yes—
186C4×C4⋊C4—28no—
187C4×C4⋊C4—28no—
188C4×C22⋊C4—28no—
189C4×C22⋊C4D418yes—
190C2×#95C2312yes—
191C2×#95C2312yes—
192C2×#95C2312yes—
193C2×#95C2312yes—
194C2×#95C2314yes—
195C2×#95C2314yes—
196C2×#95C2314yes—
197C2×#95C2312yes—
198C2×#95C2312yes—
199C2×#95C2314yes—
200C2×#95C2312yes—
201C2×#95C2312yes—
202C2×#95C2314yes—
203C2×#95C2314yes—
204C2×#95C2314yes—
205C2×#95C2314yes—
206C2×#95C2314yes—
207C2×#95C2314yes—
208C2×#95C2314yes—
209C2×#95C2314yes—
210C2×#95C2312yes—
211C2×#95C2311yescharacteristic
212C2×#95C2311yescharacteristic
213C25C2411yescharacteristic
214C25C2411yescharacteristic
215C22×Q8—22no—
216C22×Q8—22no—
217C22×Q8—22no—
218C22×Q8—24no—
219C22×Q8—24no—
220C22×D4—22no—
221C22×D4—22no—
222C22×D4—22no—
223C22×D4—22no—
224C22×D4—22no—
225C22×D4—41no—
226C22×D4—41no—
227C23×C4—24no—
228C23×C4—24no—
229C23×C4—24no—
230C23×C4—24no—
231C23×C4—24no—
232C23×C4—22no—
233C23×C4—22no—
234C23×C4—22no—
235C23×C4—24no—
236C23×C4—24no—
237C23×C4—42no—
238C23×C4—42no—
239C23×C4—42no—
240C23×C4—42no—
241C23×C4C2×D414yes—
242C23×C4C2×D414yes—
243C23×C4C2×D414yes—
244C23×C4C2412yes—
245C23×C4C2412yes—
246C23×C4C2412yes—
247C23×C4C2411yescharacteristic
248C23×C4C2412yes—
249C23×C4C2414yes—
250C23×C4C2411yescharacteristic
251C23×C4C2414yes—
252C23×C4C2412yes—
253C23×C4C2412yes—
254C23×C4C2411yescharacteristic
255C23×C4C2411yescharacteristic
256C23×C4C2412yes—
257C23×C4C2412yes—
258C23×C4C2411yescharacteristic
259#123—432no—
260C22⋊Q8—416no—
261C22⋊Q8—416no—
262C4×D4—416no—
263#117—232no—
264#117—416no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—24no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—24no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—22no—
275C2×C4⋊C4—22no—
276C2×C4⋊C4—22no—
277C2×C4⋊C4—22no—
278C2×C4⋊C4—22no—
279C2×C4⋊C4—22no—
280C2×C4⋊C4—22no—
281C2×C4⋊C4—22no—
282C2×C4⋊C4—22no—
283C2×C4⋊C4—22no—
284C2×C4⋊C4—22no—
285C2×C4⋊C4—24no—
286C2×C4⋊C4—22no—
287C2×C4⋊C4—24no—
288C2×C4⋊C4—24no—
289C2×C4⋊C4—24no—
290C2×C4⋊C4—28no—
291C2×C4⋊C4—24no—
292C2×C4⋊C4—24no—
293C2×C4⋊C4—24no—
294C2×C4⋊C4—28no—
295C2×C4⋊C4—28no—
296C2×C4⋊C4—24no—
297C2×C4⋊C4—24no—
298C2×C4⋊C4—24no—
299C2×C4⋊C4—24no—
300C2×C4⋊C4—28no—
301C2×C4⋊C4—28no—
302C2×C4⋊C4—28no—
303C2×C4⋊C4—28no—
304C2×C4⋊C4—28no—
305C2×C4⋊C4—42no—
306C2×C4⋊C4—42no—
307C2×C4⋊C4—44no—
308C2×C4⋊C4—416no—
309C2×C4⋊C4—44no—
310C2×C4⋊C4—44no—
311C2×C4⋊C4—44no—
312C2×C4⋊C4—44no—
313C2×C4⋊C4—44no—
314C2×C4⋊C4—44no—
315C2×C4⋊C4—44no—
316C2×C4⋊C4—44no—
317C2×C4⋊C4—44no—
318C2×C4⋊C4—44no—
319C2×C4⋊C4C2×D414yes—
320C2×C4⋊C4C2×D418yes—
321C2×C4⋊C4C2×D414yes—
322C2×C4⋊C4#4118yes—
323C2×C22⋊C4—28no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—22no—
330C2×C22⋊C4—22no—
331C2×C22⋊C4—22no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—28no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—22no—
339C2×C22⋊C4—22no—
340C2×C22⋊C4—22no—
341C2×C22⋊C4—24no—
342C2×C22⋊C4—28no—
343C2×C22⋊C4—24no—
344C2×C22⋊C4—24no—
345C2×C22⋊C4—24no—
346C2×C22⋊C4—28no—
347C2×C22⋊C4—24no—
348C2×C22⋊C4—24no—
349C2×C22⋊C4—42no—
350C2×C22⋊C4—42no—
351C2×C22⋊C4—42no—
352C2×C22⋊C4—42no—
353C2×C22⋊C4—44no—
354C2×C22⋊C4C2×D418yes—
355C2×C22⋊C4C2×D418yes—
356C2×C22⋊C4C2×D418yes—
357C2×C42—28no—
358C2×C42—24no—
359C2×C42—24no—
360C2×C42—24no—
361C2×C42—24no—
362C2×C42—24no—
363C2×C42—22no—
364C2×C42—22no—
365C2×C42—22no—
366C2×C42—28no—
367C2×C42—28no—
368C2×C42—44no—
369C2×C42C2×D418yes—
370C2×C42C2×D418yes—
371#95—24no—
372#95—24no—
373#95—24no—
374#95—24no—
375#95—28no—
376#95—24no—
377#95—28no—
378#95—28no—
379#95—28no—
380#95—28no—
381#95—28no—
382#95—24no—
383#95—24no—
384#95—24no—
385#95—28no—
386#95—28no—
387#95—28no—
388#95—28no—
389#95—28no—
390#95—44no—
391#95C2×D414yes—
392#95C2×D414yes—
393#95C2×D418yes—
394C24—22no—
395C24—21no—
396C24—21no—
397C24—22no—
398C24—22no—
399C24—22no—
400C24—21no—
401C24—21no—
402C24—21no—
403C24—21no—
404C24—21no—
405C24—22no—
406C24—21no—
407C24—22no—
408C24—22no—
409C24—22no—
410C24—21no—
411C24—21no—
412C24C22×D412yes—
413C24C22×D412yes—
414C24C22×D412yes—
415C24H(5,𝔽2)12yes—
416C24C2511yescharacteristic
417C2×Q8—44no—
418C2×Q8—44no—
419C2×Q8—44no—
420C2×Q8—48no—
421C2×Q8—48no—
422C2×D4—28no—
423C2×D4—44no—
424C2×D4—44no—
425C2×D4—44no—
426C2×D4—44no—
427C2×D4—44no—
428C2×D4—44no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—24no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—28no—
439C22×C4—28no—
440C22×C4—216no—
441C22×C4—216no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—22no—
446C22×C4—24no—
447C22×C4—24no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—24no—
451C22×C4—24no—
452C22×C4—21no—
453C22×C4—24no—
454C22×C4—24no—
455C22×C4—22no—
456C22×C4—24no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—24no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—21no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—21no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—24no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—48no—
508C22×C4—48no—
509C22×C4—48no—
510C22×C4—44no—
511C22×C4—44no—
512C22×C4—44no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—84no—
516C22×C4—84no—
517C22×C4—84no—
518C22×C4—84no—
519C22×C4#127116yes—
520C22×C4C22×D414yes—
521C22×C4C22×D418yes—
522C22×C4C22×D414yes—
523C22×C4C22×D414yes—
524C22×C4C22×D412yes—
525C22×C4C22×D412yes—
526C22×C4C22×D412yes—
527C22×C4C22×D414yes—
528C22×C4C22×D412yes—
529C22×C4C22×D412yes—
530C22×C4C22×D412yes—
531C22×C4C2×#4118yes—
532C22×C4C2×#4114yes—
533C22×C4H(5,𝔽2)12yes—
534C22×C42−1+414yes—
535C22×C42−1+414yes—
536C22×C42−1+414yes—
537C4⋊C4—28no—
538C4⋊C4—216no—
539C4⋊C4—48no—
540C4⋊C4—48no—
541C4⋊C4—416no—
542C4⋊C4—48no—
543C4⋊C4—48no—
544C4⋊C4—48no—
545C4⋊C4—44no—
546C4⋊C4—44no—
547C4⋊C4—44no—
548C4⋊C4—44no—
549C4⋊C4—48no—
550C4⋊C4—48no—
551C4⋊C4—88no—
552C4⋊C4—88no—
553C4⋊C4—88no—
554C4⋊C4—88no—
555C4⋊C4—88no—
556C4⋊C4#123116yescomplemented
557C22⋊C4—216no—
558C22⋊C4—216no—
559C22⋊C4—48no—
560C22⋊C4—48no—
561C22⋊C4—48no—
562C22⋊C4—416no—
563C22⋊C4—48no—
564C22⋊C4—44no—
565C22⋊C4—48no—
566C22⋊C4—48no—
567C22⋊C4—44no—
568C22⋊C4—48no—
569C42—216no—
570C42—216no—
571C42—416no—
572C42—48no—
573C42—44no—
574C23—22no—
575C23—24no—
576C23—22no—
577C23—24no—
578C23—24no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—24no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—24no—
592C23—24no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—41no—
602C23—41no—
603C23—42no—
604C23—41no—
605C23—42no—
606C23—42no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—42no—
611C23—41no—
612C23—41no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23C2×#12714yes—
620C23C23×D411yescharacteristic
621C23C23×D411yescharacteristic
622C23C23×D411yescharacteristic
623C23C22×#4112yes—
624C23C2×H(5,𝔽2)11yescharacteristic
625C23C2×H(5,𝔽2)11yescharacteristic
626C23C2×2−1+412yes—
627C23C2×2−1+412yes—
628C23C2×2−1+412yes—
629C23#58511yescharacteristic
630C23#58511yescharacteristic
631Q8—88no—
632D4—416no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—28no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—28no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—232no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—28no—
652C2×C4—28no—
653C2×C4—22no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—28no—
659C2×C4—24no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—42no—
665C2×C4—44no—
666C2×C4—44no—
667C2×C4—42no—
668C2×C4—44no—
669C2×C4—44no—
670C2×C4—42no—
671C2×C4—44no—
672C2×C4—44no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—41no—
681C2×C4—42no—
682C2×C4—44no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—41no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—44no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—41no—
714C2×C4—42no—
715C2×C4—41no—
716C2×C4—42no—
717C2×C4—816no—
718C2×C4—88no—
719C2×C4C2×#12318yes—
720C2×C4C2×#12314yes—
721C2×C4C2×#12714yes—
722C2×C4C2×#12714yes—
723C2×C4#53618yes—
724C2×C4#53614yes—
725C2×C4#54718yes—
726C2×C4#54718yes—
727C22—24no—
728C22—24no—
729C22—24no—
730C22—44no—
731C22—44no—
732C22—44no—
733C22—42no—
734C22—42no—
735C22—42no—
736C22—44no—
737C22—42no—
738C22—44no—
739C22—44no—
740C22—42no—
741C22—42no—
742C22—42no—
743C22—82no—
744C22—81no—
745C22—81no—
746C22—82no—
747C22—81no—
748C22—81no—
749C22C22×#12311yescharacteristic
750C22C22×#12711yescharacteristic
751C22C2×#53612yes—
752C22C2×#53611yescharacteristic
753C22C2×#54712yes—
754C22C2×#54712yes—
755C22#348411yescharacteristic
756C22#348711yescharacteristic
757C22#348811yescharacteristic
758C22#348811yescharacteristic
759C22#348811yescharacteristic
760C22#348811yescharacteristic
761C22#349912yes—
762C22#349911yescharacteristic
763C22#349911yescharacteristic
764C22#351512yes—
765C22#351612yes—
766C22#352012yes—
767C22#352212yes—
768C22#354412yes—
769C22#355212yes—
770C22#355512yes—
771C22#356312yes—
772C4—28no—
773C4—28no—
774C4—24no—
775C4—44no—
776C4—48no—
777C4—44no—
778C4—42no—
779C4—81no—
780C4—82no—
781C4—82no—
782C4—82no—
783C4—84no—
784C4—81no—
785C4—82no—
786C4#250118yes—
787C2—44no—
788C2—82no—
789C2C2×#250111yescharacteristic
790C2#3531711yescharacteristic
791C2#3556511yescharacteristic
792C2#3599611yescharacteristic
793C2#3599811yescharacteristic
794C2#3804012yes—
795C2#3892112yes—
796C2#4291811yescharacteristic
797C2#4296411yescharacteristic
798C2#4487512yes—
799C2#4523812yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC23×D4C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2502C2semidirect
4. C2×#2625C2semidirect
6. C2×#2317C2semidirect
7. #17062C2semidirect
8. #16964C2semidirect
9. #15539C2semidirect
11. #15193C2semidirect
12. #15145C2semidirect
13. #15135C2semidirect
14. #15020C2semidirect
15. #13997C2semidirect
16. #13910C2semidirect
17. #13801C2semidirect
556. C4⋊C4#123semidirect

Maximal subgroups

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

subgroupindex
C2×#25022
C2×#24862
C2×#24152
C2×#26252
C2×#23952
C2×#23172
#170622
#169642
#155392
#153842
#151932
#151452
#151352
#150202
#139972
#139102
#138012