Finite Group Databasebeta

← #360765

Subgroups — #360765

Order 512.

1642 conjugacy classes of subgroups.

The subgroup lattice has 753 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#428C211yesmaximal, characteristic
2C2×#1854C211yesmaximal, characteristic
3C2×#1852C211yesmaximal, characteristic
4C2×#1847C211yesmaximal, characteristic, complemented
5C2×#1846C211yesmaximal, characteristic, complemented
6C2×#1809C211yesmaximal, characteristic
7C2×#1753C211yesmaximal, characteristic
8#13881C211yesmaximal, characteristic
9#13879C211yesmaximal, characteristic
10#11325C211yesmaximal, characteristic, complemented
11#11325C211yesmaximal, characteristic, complemented
12#11325C211yesmaximal, characteristic, complemented
13#11324C211yesmaximal, characteristic, complemented
14#10863C211yesmaximal, characteristic, complemented
15#10862C211yesmaximal, characteristic, complemented
16C23×M16C2211yescharacteristic
17C22×#117C2211yescharacteristic
18C23×C4⋊C4C2211yescharacteristic
19C2×#428—24no—
20C2×#428—24no—
21C2×#428—24no—
22C22×#107C2211yescharacteristic
23C22×#107C2211yescharacteristic
24C22×#107C2211yescharacteristic
25C22×#107C2211yescharacteristic
26C22×#107C2211yescharacteristic
27C22×#107C2211yescharacteristic
28C22×#106C2211yescharacteristic
29C22×#106C2211yescharacteristic
30C22×#106C2211yescharacteristic
31C22×#106C2211yescharacteristic
32C22×C22⋊C8C2211yescharacteristic
33C22×#97C2211yescharacteristic
34C22×C4×C8C2211yescharacteristic
35C2×#384C2211yescharacteristic
36C2×#382C2211yescharacteristic
37C2×#382C2211yescharacteristic
38C2×#382C2211yescharacteristic
39C2×#380C2211yescharacteristic
40C2×#380C2211yescharacteristic
41C2×C4×C22⋊C4C2211yescharacteristic
42#1854—24no—
43#1852—24no—
44#1847—24no—
45#1846—24no—
46#1809—24no—
47#1753C418yescomplemented
48C2×#340C2211yescharacteristic
49C2×#340C2211yescharacteristic
50C2×#340C2211yescharacteristic
51C2×#340C2211yescharacteristic
52C2×#340C2211yescharacteristic
53C2×#340C2211yescharacteristic
54C2×#336C2211yescharacteristic
55C2×#336C2211yescharacteristic
56#1442—22no—
57#1439—22no—
58#1436—22no—
59C4⋊#95C2211yescharacteristic
60C4⋊#95C2211yescharacteristic
61C4⋊#95C2211yescharacteristic
62C4⋊#95C2211yescharacteristic
63C22⋊#95—22no—
64C24×C4—21no—
65C24×C4C2311yescharacteristic
66C22×M16—22no—
67C22×M16—22no—
68C22×M16—22no—
69C22×M16—22no—
70C22×M16C2×C414yes—
71C22×M16D414yes—
72C22×M16Q814yes—
73C23×C8C2311yescharacteristic
74C23×C8C2311yescharacteristic
75C23×C8C2311yescharacteristic
76C23×C8C2311yescharacteristic
77C2×#117—22no—
78C2×#117—22no—
79C2×#117—22no—
80C2×#117—22no—
81C2×#117—41no—
82C2×#117—41no—
83C22×C4⋊C4—22no—
84C22×C4⋊C4—22no—
85C22×C4⋊C4—22no—
86C22×C4⋊C4—22no—
87C22×C4⋊C4—21no—
88C22×C4⋊C4—22no—
89C22×C4⋊C4—41no—
90C22×C4⋊C4—41no—
91C22×C4⋊C4C2311yescharacteristic
92C22×C4⋊C4C2311yescharacteristic
93C22×C4⋊C4C2311yescharacteristic
94C22×C4⋊C4C2311yescharacteristic
95C22×C4⋊C4C2311yescharacteristic
96C22×C4⋊C4C2311yescharacteristic
97C22×C4⋊C4C2311yescharacteristic
98C22×C4⋊C4C2311yescharacteristic
99C22×C22⋊C4—21no—
100C22×C22⋊C4—21no—
101C22×C22⋊C4—21no—
102C22×C22⋊C4D412yes—
103C22×C42—21no—
104C22×C42C2311yescharacteristic
105C22×C42C2311yescharacteristic
106#428—232no—
107C2×#107—22no—
108C2×#107—22no—
109C2×#107—22no—
110C2×#107—22no—
111C2×#107—22no—
112C2×#107—22no—
113C2×#107—22no—
114C2×#107—22no—
115C2×#107—22no—
116C2×#107—22no—
117C2×#107—22no—
118C2×#107—22no—
119C2×#107—22no—
120C2×#107—22no—
121C2×#107—41no—
122C2×#107—41no—
123C2×#107—41no—
124C2×#107D414yes—
125C2×#106—22no—
126C2×#106—22no—
127C2×#106—22no—
128C2×#106—22no—
129C2×#106—22no—
130C2×#106—22no—
131C2×#106—22no—
132C2×#106—22no—
133C2×#106—22no—
134C2×#106—22no—
135C2×#106—41no—
136C2×#106D414yes—
137C2×C22⋊C8C2×C414yes—
138C2×C22⋊C8D414yes—
139C2×C22⋊C8Q814yes—
140C2×#97—22no—
141C2×#97—22no—
142C2×#97C2×C414yescomplemented
143C2×C4×C8—22no—
144C2×C4×C8—22no—
145C2×C4×C8C2×C414yescomplemented
146#384—22no—
147#384—41no—
148#382—22no—
149#382—22no—
150#382—22no—
151#382—41no—
152#382—41no—
153#382—41no—
154#380—22no—
155#380—22no—
156#380—22no—
157#380—22no—
158C4×C22⋊C4C2×C414yes—
159C4×C22⋊C4Q814yes—
160C2×#95—22no—
161C2×#95—22no—
162C2×#95—22no—
163C2×#95—21no—
164C2×#95—22no—
165C2×#95—21no—
166C2×#95—22no—
167C2×#95—22no—
168C2×#95—22no—
169C2×#95D412yes—
170#340—22no—
171#340—22no—
172#340—22no—
173#340—22no—
174#340—22no—
175#340—22no—
176#336C2×C414yescomplemented
177#336C2×C414yescomplemented
178C25C2×D411yescharacteristic
179C23×C4—21no—
180C23×C4—21no—
181C23×C4—21no—
182C23×C4—21no—
183C23×C4—21no—
184C23×C4—21no—
185C23×C4—21no—
186C23×C4—21no—
187C23×C4—21no—
188C23×C4—21no—
189C23×C4—21no—
190C23×C4—21no—
191C23×C4—21no—
192C23×C4—21no—
193C23×C4—21no—
194C23×C4—21no—
195C23×C4—42no—
196C23×C4—42no—
197C23×C4—42no—
198C23×C4—44no—
199C23×C4—82no—
200C23×C4C22×C412yes—
201C23×C4C2×D412yes—
202C23×C4C2×D412yes—
203C23×C4C2×D411yescharacteristic
204C23×C4C2×D412yes—
205C23×C4C2×D412yes—
206C23×C4C2×Q812yes—
207C23×C4C2×Q812yes—
208C23×C4C2×Q812yes—
209C23×C4C2411yescharacteristic
210C2×M16—28no—
211C2×M16—28no—
212C2×M16—28no—
213C2×M16—28no—
214C2×M16—28no—
215C2×M16—28no—
216C2×M16C4⋊C4116yescomplemented
217C22×C8—21no—
218C22×C8—21no—
219C22×C8—21no—
220C22×C8—21no—
221C22×C8—21no—
222C22×C8—21no—
223C22×C8—21no—
224C22×C8—21no—
225C22×C8—21no—
226C22×C8—21no—
227C22×C8—21no—
228C22×C8—21no—
229C22×C8C22×C412yes—
230C22×C8C22×C412yes—
231C22×C8C22×C412yes—
232C22×C8C22×C412yes—
233C22×C8C2×D412yes—
234C22×C8C2×D412yes—
235C22×C8C2×D412yes—
236C22×C8C2×D412yes—
237C22×C8C2×D412yes—
238C22×C8C2×D412yes—
239C22×C8C2×Q812yes—
240C22×C8C2×Q812yes—
241C22×C8C2×Q812yes—
242C22×C8C2×Q812yes—
243C22×C8#4112yes—
244C22×C8#4112yes—
245#117—28no—
246#117—44no—
247#117—44no—
248#117—44no—
249C2×C4⋊C4—28no—
250C2×C4⋊C4—21no—
251C2×C4⋊C4—21no—
252C2×C4⋊C4—21no—
253C2×C4⋊C4—21no—
254C2×C4⋊C4—21no—
255C2×C4⋊C4—21no—
256C2×C4⋊C4—21no—
257C2×C4⋊C4—21no—
258C2×C4⋊C4—21no—
259C2×C4⋊C4—21no—
260C2×C4⋊C4—21no—
261C2×C4⋊C4—21no—
262C2×C4⋊C4—21no—
263C2×C4⋊C4—21no—
264C2×C4⋊C4—21no—
265C2×C4⋊C4—21no—
266C2×C4⋊C4—21no—
267C2×C4⋊C4—21no—
268C2×C4⋊C4—21no—
269C2×C4⋊C4—21no—
270C2×C4⋊C4—21no—
271C2×C4⋊C4—21no—
272C2×C4⋊C4—21no—
273C2×C4⋊C4—21no—
274C2×C4⋊C4—21no—
275C2×C4⋊C4—21no—
276C2×C4⋊C4—21no—
277C2×C4⋊C4—21no—
278C2×C4⋊C4—21no—
279C2×C4⋊C4—21no—
280C2×C4⋊C4—21no—
281C2×C4⋊C4—21no—
282C2×C4⋊C4—21no—
283C2×C4⋊C4—21no—
284C2×C4⋊C4—21no—
285C2×C4⋊C4—21no—
286C2×C4⋊C4—21no—
287C2×C4⋊C4—21no—
288C2×C4⋊C4—21no—
289C2×C4⋊C4—21no—
290C2×C4⋊C4—21no—
291C2×C4⋊C4—21no—
292C2×C4⋊C4—21no—
293C2×C4⋊C4—21no—
294C2×C4⋊C4—44no—
295C2×C4⋊C4—44no—
296C2×C4⋊C4—42no—
297C2×C4⋊C4—42no—
298C2×C4⋊C4—44no—
299C2×C4⋊C4—42no—
300C2×C4⋊C4—44no—
301C2×C4⋊C4—44no—
302C2×C4⋊C4—82no—
303C2×C4⋊C4C2×D412yes—
304C2×C4⋊C4C2×D412yes—
305C2×C4⋊C4C2×D412yes—
306C2×C4⋊C4C2×D412yes—
307C2×C22⋊C4—42no—
308C2×C22⋊C4—42no—
309C2×C22⋊C4—42no—
310C2×C22⋊C4—42no—
311C2×C22⋊C4—42no—
312C2×C22⋊C4—44no—
313C2×C22⋊C4—42no—
314C2×C22⋊C4—42no—
315C2×C22⋊C4—82no—
316C2×C22⋊C4C4⋊C418yes—
317C2×C42—21no—
318C2×C42—21no—
319C2×C42—21no—
320C2×C42—21no—
321C2×C42—21no—
322C2×C42—21no—
323C2×C42—21no—
324C2×C42—21no—
325C2×C42—42no—
326C2×C42—42no—
327C2×C42—42no—
328C2×C42C22×C412yes—
329C2×C42C22×C412yes—
330C2×C42C2×Q812yes—
331C2×C42C2×Q812yes—
332#107—28no—
333#107—28no—
334#107—44no—
335#107—44no—
336#107—44no—
337#107—44no—
338#106—28no—
339#106—28no—
340#106—44no—
341#106—44no—
342C22⋊C8C4⋊C4116yescomplemented
343#97—28no—
344C4×C8—28no—
345#95—44no—
346#95—44no—
347#95—44no—
348#95—44no—
349#95—42no—
350#95—42no—
351#95—82no—
352#95—82no—
353#95—82no—
354#95C4⋊C418yes—
355C24—21no—
356C24—21no—
357C24—21no—
358C24—21no—
359C24—22no—
360C24—22no—
361C24—22no—
362C24—22no—
363C24C2×C4⋊C412yes—
364C24#12712yes—
365C24C4⋊Q812yes—
366C24C22×D411yescharacteristic
367C22×C4—21no—
368C22×C4—21no—
369C22×C4—21no—
370C22×C4—21no—
371C22×C4—22no—
372C22×C4—22no—
373C22×C4—22no—
374C22×C4—22no—
375C22×C4—22no—
376C22×C4—22no—
377C22×C4—22no—
378C22×C4—22no—
379C22×C4—22no—
380C22×C4—22no—
381C22×C4—22no—
382C22×C4—22no—
383C22×C4—22no—
384C22×C4—22no—
385C22×C4—22no—
386C22×C4—22no—
387C22×C4—22no—
388C22×C4—22no—
389C22×C4—22no—
390C22×C4—22no—
391C22×C4—22no—
392C22×C4—22no—
393C22×C4—22no—
394C22×C4—22no—
395C22×C4—22no—
396C22×C4—22no—
397C22×C4—22no—
398C22×C4—22no—
399C22×C4—22no—
400C22×C4—22no—
401C22×C4—22no—
402C22×C4—22no—
403C22×C4—22no—
404C22×C4—22no—
405C22×C4—22no—
406C22×C4—22no—
407C22×C4—22no—
408C22×C4—22no—
409C22×C4—22no—
410C22×C4—22no—
411C22×C4—48no—
412C22×C4—41no—
413C22×C4—41no—
414C22×C4—41no—
415C22×C4—41no—
416C22×C4—41no—
417C22×C4—41no—
418C22×C4—41no—
419C22×C4—41no—
420C22×C4—42no—
421C22×C4—42no—
422C22×C4—42no—
423C22×C4—42no—
424C22×C4—42no—
425C22×C4—42no—
426C22×C4—42no—
427C22×C4—42no—
428C22×C4—41no—
429C22×C4—41no—
430C22×C4—41no—
431C22×C4—41no—
432C22×C4—41no—
433C22×C4—41no—
434C22×C4—41no—
435C22×C4—41no—
436C22×C4—41no—
437C22×C4—41no—
438C22×C4—41no—
439C22×C4—41no—
440C22×C4—42no—
441C22×C4—42no—
442C22×C4—42no—
443C22×C4—42no—
444C22×C4—42no—
445C22×C4—42no—
446C22×C4—42no—
447C22×C4—42no—
448C22×C4—88no—
449C22×C4—88no—
450C22×C4—84no—
451C22×C4—84no—
452C22×C4C2×C4⋊C414yes—
453C22×C4C2×C4⋊C414yes—
454C22×C4C2×C4⋊C414yes—
455C22×C4C2×C4⋊C414yes—
456C22×C4C2×C4⋊C412yes—
457C22×C4#12712yes—
458C22×C4C4⋊Q814yes—
459C22×C4C4⋊Q814yes—
460C22×C4C4⋊Q812yes—
461C22×C4C23×C411yescharacteristic
462C22×C4C22×D411yescharacteristic
463C22×C4C22×D411yescharacteristic
464C22×C4C22×D411yescharacteristic
465C22×C4C22×D411yescharacteristic
466C22×C4C22×Q811yescharacteristic
467C22×C4C22×Q811yescharacteristic
468C22×C4C22×Q811yescharacteristic
469C22×C4C2×#4111yescharacteristic
470C22×C4C2×#4111yescharacteristic
471C22×C4H(5,𝔽2)11yescharacteristic
472C22×C4H(5,𝔽2)11yescharacteristic
473C22×C42−1+411yescharacteristic
474C22×C42−1+411yescharacteristic
475M16—232no—
476C2×C8—22no—
477C2×C8—22no—
478C2×C8—22no—
479C2×C8—22no—
480C2×C8—22no—
481C2×C8—22no—
482C2×C8—22no—
483C2×C8—22no—
484C2×C8—22no—
485C2×C8—22no—
486C2×C8—22no—
487C2×C8—22no—
488C2×C8—22no—
489C2×C8—22no—
490C2×C8—22no—
491C2×C8—22no—
492C2×C8—22no—
493C2×C8—22no—
494C2×C8C2×C4⋊C414yes—
495C2×C8C2×C4⋊C414yes—
496C2×C8C2×C4⋊C414yes—
497C2×C8C2×C4⋊C414yes—
498C2×C8C4×D414yes—
499C2×C8C4×D414yes—
500C2×C8#12014yes—
501C2×C8C22⋊Q814yes—
502C2×C8C22⋊Q814yes—
503C2×C8#12314yes—
504C4⋊C4—22no—
505C4⋊C4—22no—
506C4⋊C4—22no—
507C4⋊C4—22no—
508C4⋊C4—22no—
509C4⋊C4—22no—
510C4⋊C4—22no—
511C4⋊C4—22no—
512C4⋊C4—48no—
513C4⋊C4—41no—
514C4⋊C4—41no—
515C4⋊C4—41no—
516C4⋊C4—41no—
517C4⋊C4—41no—
518C4⋊C4—41no—
519C4⋊C4—41no—
520C4⋊C4—41no—
521C4⋊C4—41no—
522C4⋊C4—41no—
523C4⋊C4—41no—
524C4⋊C4—41no—
525C4⋊C4—41no—
526C4⋊C4—41no—
527C4⋊C4—41no—
528C4⋊C4—41no—
529C4⋊C4—41no—
530C4⋊C4—41no—
531C4⋊C4—41no—
532C4⋊C4—41no—
533C4⋊C4—41no—
534C4⋊C4—41no—
535C4⋊C4—41no—
536C4⋊C4—41no—
537C4⋊C4—88no—
538C22⋊C4—48no—
539C22⋊C4—48no—
540C22⋊C4—84no—
541C22⋊C4—84no—
542C42—22no—
543C42—22no—
544C42—22no—
545C42—22no—
546C42—22no—
547C42—22no—
548C42—22no—
549C42—22no—
550C42—48no—
551C23—22no—
552C23—22no—
553C23—22no—
554C23—22no—
555C23—22no—
556C23—22no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—22no—
562C23—22no—
563C23—22no—
564C23—22no—
565C23—42no—
566C23—42no—
567C23—42no—
568C23—42no—
569C23—42no—
570C23—42no—
571C23—42no—
572C23—42no—
573C23#38414yes—
574C23C22×C4⋊C411yescharacteristic
575C23C2×#12711yescharacteristic
576C23C2×C4⋊Q811yescharacteristic
577C23D4211yescharacteristic
578C23D4211yescharacteristic
579C23#54711yescharacteristic
580C23#54711yescharacteristic
581C23#57512yes—
582C23#57512yes—
583C23#57612yes—
584C23#57812yes—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—44no—
618C2×C4—44no—
619C2×C4—44no—
620C2×C4—44no—
621C2×C4—816no—
622C2×C4—81no—
623C2×C4—81no—
624C2×C4—81no—
625C2×C4—81no—
626C2×C4—81no—
627C2×C4—81no—
628C2×C4—81no—
629C2×C4—81no—
630C2×C4—82no—
631C2×C4—82no—
632C2×C4—82no—
633C2×C4—82no—
634C2×C4—82no—
635C2×C4—82no—
636C2×C4—82no—
637C2×C4—82no—
638C2×C4—81no—
639C2×C4—81no—
640C2×C4—81no—
641C2×C4—81no—
642C2×C4—81no—
643C2×C4—81no—
644C2×C4—81no—
645C2×C4—81no—
646C2×C4—81no—
647C2×C4—81no—
648C2×C4—82no—
649C2×C4—81no—
650C2×C4—81no—
651C2×C4—82no—
652C2×C4—82no—
653C2×C4—82no—
654C2×C4#38414yes—
655C2×C4C22×C4⋊C411yescharacteristic
656C2×C4C22×C4⋊C411yescharacteristic
657C2×C4C2×C4×D411yescharacteristic
658C2×C4C2×C4×D411yescharacteristic
659C2×C4#52011yescharacteristic
660C2×C4#52011yescharacteristic
661C2×C4C2×#12011yescharacteristic
662C2×C4C2×C22⋊Q811yescharacteristic
663C2×C4C2×C22⋊Q811yescharacteristic
664C2×C4C2×#12311yescharacteristic
665C2×C4C2×C4⋊Q811yescharacteristic
666C2×C4C2×C4⋊Q811yescharacteristic
667C2×C4#53511yescharacteristic
668C2×C4#53611yescharacteristic
669C2×C4#54411yescharacteristic
670C2×C4#54411yescharacteristic
671C2×C4D4211yescharacteristic
672C2×C4D4211yescharacteristic
673C2×C4#54711yescharacteristic
674C2×C4#54711yescharacteristic
675C2×C4D4×Q811yescharacteristic
676C2×C4D4×Q811yescharacteristic
677C2×C4D4×Q811yescharacteristic
678C2×C4D4×Q811yescharacteristic
679C2×C4#55411yescharacteristic
680C2×C4#55411yescharacteristic
681C2×C4#55411yescharacteristic
682C2×C4#55411yescharacteristic
683C8—24no—
684C8—24no—
685C8—24no—
686C8#38518yes—
687C22—24no—
688C22—24no—
689C22—24no—
690C22—42no—
691C22—42no—
692C22—44no—
693C22—44no—
694C22—42no—
695C22—42no—
696C22—44no—
697C22—44no—
698C22C2×#38411yescharacteristic
699C22D4×C4⋊C411yescharacteristic
700C22D4×C4⋊C411yescharacteristic
701C22#243311yescharacteristic
702C22#244011yescharacteristic
703C22#244011yescharacteristic
704C22#250111yescharacteristic
705C22#291112yes—
706C22#291312yes—
707C22#315311yescharacteristic
708C22#315311yescharacteristic
709C22#315511yescharacteristic
710C22#315611yescharacteristic
711C22#316412yes—
712C22#316612yes—
713C22#326812yes—
714C22#326912yes—
715C22#327312yes—
716C22#327712yes—
717C22#334712yes—
718C22#334912yes—
719C22#335212yes—
720C22#335512yes—
721C4—24no—
722C4—44no—
723C4—44no—
724C4—82no—
725C4—82no—
726C4—82no—
727C4—82no—
728C4—161no—
729C4—161no—
730C4—161no—
731C4—161no—
732C4C2×#38511yescharacteristic
733C4#231711yescharacteristic
734C4D4×C4⋊C411yescharacteristic
735C4D4×C4⋊C411yescharacteristic
736C4#243411yescharacteristic
737C4#244011yescharacteristic
738C4#244011yescharacteristic
739C4#250211yescharacteristic
740C2—44no—
741C2#1388011yescharacteristic
742C2#2080111yescharacteristic
743C2#2080311yescharacteristic
744C2#2266012yes—
745C2#2266412yes—
746C2#2579211yescharacteristic
747C2#2579311yescharacteristic
748C2#2607312yes—
749C2#2607912yes—
750C2#2794211yescharacteristic
751C2#2794311yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
prime radicalC25C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C4×C22⋊C4 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
4. C2×#1847C2semidirect
5. C2×#1846C2semidirect
10. #11325C2semidirect
11. #11325C2semidirect
12. #11325C2semidirect
13. #11324C2semidirect
14. #10863C2semidirect
15. #10862C2semidirect
47. #1753C4semidirect
142. C2×#97C2×C4semidirect
145. C2×C4×C8C2×C4semidirect
176. #336C2×C4semidirect
177. #336C2×C4semidirect
216. C2×M16C4⋊C4semidirect
342. C22⋊C8C4⋊C4semidirect

Maximal subgroups

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

subgroupindex
C22×#4282
C2×#18542
C2×#18522
C2×#18472
C2×#18462
C2×#18092
C2×#17532
#138812
#138792
#113252
#113242
#108632
#108622