Finite Group Databasebeta

← C2×#31148 #7503581

Subgroups — C2×#31148 #7503581

Order 512.

2768 conjugacy classes of subgroups.

The subgroup lattice has 787 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#474C211yesmaximal, characteristic, complemented
2C22×#459C211yesmaximal, characteristic
3C2×#2452C211yesmaximal, characteristic, complemented
4C2×#2445C211yesmaximal, characteristic, complemented
5#31148C2116yesmaximal, direct product factor
6C2×#2086C211yesmaximal, characteristic, complemented
7C2×#2067C211yesmaximal, characteristic, complemented
8C2×#2054C211yesmaximal, characteristic, complemented
9C2×#2054C211yesmaximal, characteristic, complemented
10C2×#2041C211yesmaximal, characteristic, complemented
11C2×#2023C211yesmaximal, characteristic, complemented
12C2×#1970C211yesmaximal, characteristic, complemented
13C2×#1939C211yesmaximal, characteristic, complemented
14C2×#1934C211yesmaximal, characteristic, complemented
15C2×#1879C211yesmaximal, characteristic, complemented
16C2×#1862C211yesmaximal, characteristic, complemented
17C23×D8C2211yescharacteristic
18C23×D8C2211yescharacteristic
19C22×C4⋊Q8C2211yescharacteristic
20C22×#127C2211yescharacteristic
21C22×#123—21no—
22C22×C22⋊Q8—21no—
23C22×C4×D4C2211yescharacteristic
24C22×C4×D4C2211yescharacteristic
25C2×#474—28no—
26C2×#474C2218yescomplemented
27C2×#459—28no—
28C2×#459C2218yes—
29C22×#107C2211yescharacteristic
30C22×#107C2211yescharacteristic
31C22×C4⋊C8C2211yescharacteristic
32C22×C4⋊C8C2211yescharacteristic
33C22×C4⋊C8C2211yescharacteristic
34C22×#102C2211yescharacteristic
35C22×#102C2211yescharacteristic
36C22×#102C2211yescharacteristic
37C22×#102C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×#102C2211yescharacteristic
40C22×#102C2211yescharacteristic
41C22×#102C2211yescharacteristic
42C22×C4×C8C2211yescharacteristic
43#2452—24no—
44#2452C2218yescomplemented
45#2445—24no—
46#2445C2218yescomplemented
47C2×#396—21no—
48C2×#394—21no—
49C2×#394—21no—
50C2×#393—21no—
51C2×#390C2211yescharacteristic
52C2×#390C2211yescharacteristic
53C2×#390C2211yescharacteristic
54C2×#390C2211yescharacteristic
55C2×#390C2211yescharacteristic
56C2×#389C2211yescharacteristic
57C2×#389C2211yescharacteristic
58C2×#389C2211yescharacteristic
59C2×#386—21no—
60C2×#385—21no—
61C2×C4×C4⋊C4C2211yescharacteristic
62#2086C2218yescomplemented
63#2067C2218yescomplemented
64#2054C2218yescomplemented
65#2054C2218yescomplemented
66#2041C2218yescomplemented
67#2023C2218yescomplemented
68#1970C2218yescomplemented
69#1939C2218yescomplemented
70#1934C2218yescomplemented
71#1879C2218yescomplemented
72#1862C2218yescomplemented
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×Q8—21no—
80C23×D4—21no—
81C23×D4—21no—
82C23×D4C2311yescharacteristic
83C23×D4C2311yescharacteristic
84C23×D4C2311yescharacteristic
85C24×C4—21no—
86C24×C4—21no—
87C22×D8—24no—
88C22×D8—24no—
89C22×D8—24no—
90C22×D8—24no—
91C22×D8—42no—
92C22×D8—42no—
93C22×D8C2314yes—
94C22×D8C2314yes—
95C23×C8C2311yescharacteristic
96C23×C8C2311yescharacteristic
97C23×C8C2311yescharacteristic
98C23×C8C2311yescharacteristic
99C2×C4⋊Q8—24no—
100C2×C4⋊Q8—22no—
101C2×C4⋊Q8—42no—
102C2×C4⋊Q8C2314yes—
103C2×#127—24no—
104C2×#127—22no—
105C2×#127—42no—
106C2×#127C2314yes—
107C2×#123—28no—
108C2×#123—48no—
109C2×C22⋊Q8—28no—
110C2×C22⋊Q8—48no—
111C2×C4×D4—24no—
112C2×C4×D4—24no—
113C2×C4×D4—22no—
114C2×C4×D4—22no—
115C2×C4×D4—42no—
116C2×C4×D4—42no—
117C2×C4×D4C2314yes—
118C2×C4×D4C2314yes—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—21no—
121C22×C4⋊C4—21no—
122C22×C4⋊C4—21no—
123C22×C4⋊C4D411yescharacteristic
124C22×C4⋊C4D411yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2311yescharacteristic
129C22×C4⋊C4C2311yescharacteristic
130C22×C22⋊C4—21no—
131C22×C22⋊C4—21no—
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C22⋊C4—21no—
141C22×C22⋊C4—21no—
142C22×C42C2311yescharacteristic
143C22×C42C2311yescharacteristic
144C22×C42C2311yescharacteristic
145#474—232no—
146#459—232no—
147C2×#107—24no—
148C2×#107—24no—
149C2×#107C2314yes—
150C2×#107C2314yes—
151C2×C4⋊C8—24no—
152C2×C4⋊C8—24no—
153C2×C4⋊C8—42no—
154C2×C4⋊C8C2314yes—
155C2×C4⋊C8C2314yes—
156C2×C4⋊C8C2314yes—
157C2×#102—24no—
158C2×#102—24no—
159C2×#102—24no—
160C2×#102—42no—
161C2×#102—42no—
162C2×#102—42no—
163C2×#102—42no—
164C2×#102D418yes—
165C2×#102C2314yes—
166C2×#102C2314yes—
167C2×#102C2314yes—
168C2×#102C2314yes—
169C2×#102C2314yes—
170C2×#102C2314yes—
171C2×#102C2314yes—
172C2×#102C2314yes—
173C2×C4×C8—42no—
174C2×C4×C8C2314yes—
175#396—28no—
176#394—28no—
177#394—28no—
178#393—28no—
179#390—22no—
180#390—22no—
181#390—22no—
182#390—22no—
183#390—22no—
184#390C2314yes—
185#390C2314yes—
186#390C2314yes—
187#390C2314yes—
188#390C2314yes—
189#389—22no—
190#389—22no—
191#389—22no—
192#389C2314yes—
193#389C2314yes—
194#389C2314yes—
195#386—28no—
196#385—28no—
197C4×C4⋊C4D414yes—
198C4×C4⋊C4C2314yes—
199C2×#95—21no—
200C2×#95—21no—
201C2×#95—21no—
202C2×#95D411yescharacteristic
203C2×#95D411yescharacteristic
204#340C2314yes—
205#340C2314yes—
206#340C2314yes—
207#340C2314yes—
208#336C2314yes—
209#336C2314yes—
210C25—21no—
211C25—21no—
212C25—21no—
213C22×Q8—24no—
214C22×Q8—44no—
215C22×Q8—44no—
216C22×Q8—82no—
217C22×D4—22no—
218C22×D4—21no—
219C22×D4—21no—
220C22×D4—22no—
221C22×D4—21no—
222C22×D4—24no—
223C22×D4—24no—
224C22×D4—22no—
225C22×D4—22no—
226C22×D4—22no—
227C22×D4—22no—
228C22×D4—22no—
229C22×D4—22no—
230C22×D4—22no—
231C22×D4—22no—
232C22×D4—22no—
233C22×D4—22no—
234C22×D4—22no—
235C22×D4—22no—
236C22×D4—22no—
237C22×D4—22no—
238C22×D4—44no—
239C22×D4—44no—
240C22×D4—44no—
241C22×D4—44no—
242C22×D4—82no—
243C22×D4—82no—
244C22×D4C2×D414yes—
245C22×D4#4114yes—
246C22×D4C2412yes—
247C22×D4C2412yes—
248C22×D4C2412yes—
249C23×C4—21no—
250C23×C4—21no—
251C23×C4—21no—
252C23×C4—21no—
253C23×C4—21no—
254C23×C4—24no—
255C23×C4—24no—
256C23×C4—44no—
257C23×C4—44no—
258C23×C4—44no—
259C23×C4—44no—
260C23×C4—82no—
261C23×C4—82no—
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2411yescharacteristic
269C2×D8—28no—
270C2×D8—28no—
271C2×D8—28no—
272C2×D8—28no—
273C2×D8—44no—
274C2×D8—44no—
275C2×D8—416no—
276C2×D8—416no—
277C22×C8—22no—
278C22×C8—22no—
279C22×C8—22no—
280C22×C8—22no—
281C22×C8—22no—
282C22×C8—22no—
283C22×C8—22no—
284C22×C8—22no—
285C22×C8—22no—
286C22×C8—22no—
287C22×C8—22no—
288C22×C8C2×D414yes—
289C22×C8C2412yes—
290C22×C8C2412yes—
291C22×C8C2412yes—
292C22×C8C2412yes—
293C4⋊Q8—28no—
294C4⋊Q8—44no—
295C4⋊Q8—48no—
296#127—28no—
297#127—44no—
298#127—48no—
299#123—432no—
300C22⋊Q8—432no—
301C4×D4—28no—
302C4×D4—28no—
303C4×D4—44no—
304C4×D4—44no—
305C4×D4—48no—
306C4×D4—48no—
307C2×C4⋊C4—21no—
308C2×C4⋊C4—22no—
309C2×C4⋊C4—22no—
310C2×C4⋊C4—22no—
311C2×C4⋊C4—22no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—24no—
318C2×C4⋊C4—24no—
319C2×C4⋊C4—24no—
320C2×C4⋊C4—24no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—42no—
326C2×C4⋊C4—44no—
327C2×C4⋊C4—44no—
328C2×C4⋊C4—44no—
329C2×C4⋊C4—44no—
330C2×C4⋊C4D818yescomplemented
331C2×C4⋊C4C2×D414yes—
332C2×C4⋊C4C2×D414yes—
333C2×C4⋊C4C2×D414yes—
334C2×C4⋊C4C2412yes—
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—24no—
341C2×C22⋊C4—24no—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—24no—
344C2×C22⋊C4—24no—
345C2×C22⋊C4—24no—
346C2×C22⋊C4—24no—
347C2×C22⋊C4—24no—
348C2×C22⋊C4—24no—
349C2×C22⋊C4—24no—
350C2×C22⋊C4—24no—
351C2×C22⋊C4—44no—
352C2×C22⋊C4—44no—
353C2×C22⋊C4—44no—
354C2×C22⋊C4—44no—
355C2×C22⋊C4—44no—
356C2×C22⋊C4—44no—
357C2×C22⋊C4—44no—
358C2×C22⋊C4—44no—
359C2×C22⋊C4—82no—
360C2×C22⋊C4—82no—
361C2×C22⋊C4—82no—
362C2×C22⋊C4—82no—
363C2×C42—22no—
364C2×C42—22no—
365C2×C42—22no—
366C2×C42—22no—
367C2×C42—22no—
368C2×C42—22no—
369C2×C42C2×D412yes—
370C2×C42C2×D412yes—
371C2×C42C2×D412yes—
372C2×C42C2412yes—
373C2×C42C2412yes—
374C2×C42C2412yes—
375#107—28no—
376#107—28no—
377C4⋊C8—28no—
378C4⋊C8—28no—
379C4⋊C8—44no—
380#102—28no—
381#102—28no—
382#102—28no—
383#102—44no—
384#102—44no—
385#102—44no—
386#102—44no—
387#102C2×D4116yes—
388C4×C8—44no—
389#95—24no—
390#95—24no—
391#95—24no—
392#95C2×D414yes—
393#95C2×D414yes—
394C24—24no—
395C24—24no—
396C24—22no—
397C24—22no—
398C24—22no—
399C24—42no—
400C24—42no—
401C24—42no—
402C24—42no—
403C24—42no—
404C24—42no—
405C24—42no—
406C24—42no—
407C24—42no—
408C24—42no—
409C24—42no—
410C24—42no—
411C24—42no—
412C24—42no—
413C24—42no—
414C24—42no—
415C24—42no—
416C24—42no—
417C24—42no—
418C24C22×D411yescharacteristic
419C2×Q8—48no—
420C2×Q8—48no—
421C2×Q8—84no—
422C2×Q8—816no—
423C2×D4—28no—
424C2×D4—28no—
425C2×D4—24no—
426C2×D4—28no—
427C2×D4—28no—
428C2×D4—24no—
429C2×D4—22no—
430C2×D4—22no—
431C2×D4—22no—
432C2×D4—22no—
433C2×D4—22no—
434C2×D4—22no—
435C2×D4—22no—
436C2×D4—22no—
437C2×D4—22no—
438C2×D4—22no—
439C2×D4—22no—
440C2×D4—22no—
441C2×D4—22no—
442C2×D4—22no—
443C2×D4—22no—
444C2×D4—22no—
445C2×D4—48no—
446C2×D4—48no—
447C2×D4—48no—
448C2×D4—44no—
449C2×D4—44no—
450C2×D4—42no—
451C2×D4—42no—
452C2×D4—42no—
453C2×D4—44no—
454C2×D4—44no—
455C2×D4—42no—
456C2×D4—42no—
457C2×D4—44no—
458C2×D4—42no—
459C2×D4—42no—
460C2×D4—44no—
461C2×D4—44no—
462C2×D4—44no—
463C2×D4—48no—
464C2×D4—84no—
465C2×D4—84no—
466C2×D4—816no—
467C2×D4—816no—
468C2×D4C22×D414yes—
469C2×D4C2×#4114yes—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—48no—
492C22×C4—48no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—48no—
508C22×C4—48no—
509C22×C4—84no—
510C22×C4—84no—
511C22×C4—816no—
512C22×C4—816no—
513C22×C4C2×D814yes—
514C22×C4C2×D814yes—
515C22×C4C2×D814yes—
516C22×C4C22×D412yes—
517C22×C4C22×D412yes—
518C22×C4C22×D412yes—
519C22×C4C22×D412yes—
520C22×C4C22×D412yes—
521C22×C4C22×D412yes—
522C22×C4C22×D412yes—
523C22×C4C22×D411yescharacteristic
524C22×C4C2×#4112yes—
525C22×C4H(5,𝔽2)12yes—
526C22×C4H(5,𝔽2)12yes—
527C22×C42−1+412yes—
528C22×C42−1+412yes—
529C22×C4C2511yescharacteristic
530D8—416no—
531D8—416no—
532C2×C8—28no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—44no—
545C2×C8—44no—
546C2×C8—44no—
547C2×C8C22×D414yes—
548C4⋊C4—24no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—44no—
559C4⋊C4—48no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—48no—
565C4⋊C4—48no—
566C4⋊C4—48no—
567C4⋊C4C2×D8116yescomplemented
568C4⋊C4C22×D414yes—
569C22⋊C4—48no—
570C22⋊C4—48no—
571C22⋊C4—48no—
572C22⋊C4—48no—
573C22⋊C4—48no—
574C22⋊C4—48no—
575C22⋊C4—48no—
576C22⋊C4—48no—
577C22⋊C4—84no—
578C22⋊C4—84no—
579C22⋊C4—84no—
580C22⋊C4—84no—
581C42—24no—
582C42—24no—
583C42—24no—
584C42—22no—
585C42—22no—
586C42—22no—
587C42—22no—
588C42—22no—
589C42—22no—
590C23—24no—
591C23—24no—
592C23—48no—
593C23—48no—
594C23—42no—
595C23—42no—
596C23—48no—
597C23—48no—
598C23—42no—
599C23—42no—
600C23—48no—
601C23—48no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—84no—
618C23—84no—
619C23—84no—
620C23—84no—
621C23—84no—
622C23—84no—
623C23—84no—
624C23—84no—
625C23—84no—
626C23—84no—
627C23—84no—
628C23—84no—
629C23—84no—
630C23—84no—
631C23—84no—
632C23#53712yes—
633C23D4212yes—
634C23#54812yes—
635C23C22×D812yes—
636C23#57512yes—
637C23#57612yes—
638C23#57712yes—
639C23C23×D411yescharacteristic
640Q8—816no—
641D4—24no—
642D4—24no—
643D4—24no—
644D4—24no—
645D4—42no—
646D4—42no—
647D4—48no—
648D4—48no—
649D4—42no—
650D4—42no—
651D4—42no—
652D4—42no—
653D4—42no—
654D4—42no—
655D4—816no—
656D4—816no—
657D4—84no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—28no—
662C2×C4—28no—
663C2×C4—28no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—24no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—44no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—48no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—816no—
696C2×C4—816no—
697C2×C4—84no—
698C2×C4—84no—
699C2×C4—84no—
700C2×C4—84no—
701C2×C4#53614yes—
702C2×C4#53712yes—
703C2×C4#53914yes—
704C2×C4D4212yes—
705C2×C4#54614yes—
706C2×C4#54812yes—
707C2×C4#56214yes—
708C2×C4C22×D814yes—
709C2×C4C22×D814yes—
710C2×C4C22×D814yes—
711C2×C4C23×D411yescharacteristic
712C2×C4C22×#4111yescharacteristic
713C2×C4C2×H(5,𝔽2)11yescharacteristic
714C2×C4C2×H(5,𝔽2)11yescharacteristic
715C2×C4C2×2−1+411yescharacteristic
716C2×C4C2×2−1+411yescharacteristic
717C8—24no—
718C8—42no—
719C8—42no—
720C8—42no—
721C22—44no—
722C22—44no—
723C22—44no—
724C22—44no—
725C22—44no—
726C22—44no—
727C22—82no—
728C22—82no—
729C22—82no—
730C22—82no—
731C22—816no—
732C22—816no—
733C22—82no—
734C22—82no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22—82no—
739C22—82no—
740C22—82no—
741C22—82no—
742C22—82no—
743C22—82no—
744C22—168no—
745C22#268114yes—
746C22#324514yes—
747C22#325714yes—
748C22#327514yes—
749C22D4×D814yes—
750C22#335814yes—
751C22#337014yes—
752C22C2×#53711yescharacteristic
753C22C2×D4211yescharacteristic
754C22C2×#54811yescharacteristic
755C22C23×D811yescharacteristic
756C22C2×#57511yescharacteristic
757C22C2×#57611yescharacteristic
758C22C2×#57711yescharacteristic
759C4—24no—
760C4—24no—
761C4—24no—
762C4—42no—
763C4—42no—
764C4—44no—
765C4—42no—
766C4—82no—
767C4—82no—
768C4—82no—
769C4—82no—
770C4#268114yes—
771C4C2×#53611yescharacteristic
772C4C2×#53911yescharacteristic
773C4C2×#54611yescharacteristic
774C4C2×#56211yescharacteristic
775C2—84no—
776C2—84no—
777C2—162no—
778C2#3114818yesdirect product factor
779C2C2×#268111yescharacteristic
780C2C2×#324511yescharacteristic
781C2C2×#325711yescharacteristic
782C2C2×#327511yescharacteristic
783C2C2×D4×D811yescharacteristic
784C2C2×#335811yescharacteristic
785C2C2×#337011yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#459C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#474C2semidirect
3. C2×#2452C2semidirect
4. C2×#2445C2semidirect
5. #31148C2direct (N × H)
6. C2×#2086C2semidirect
7. C2×#2067C2semidirect
8. C2×#2054C2semidirect
9. C2×#2054C2semidirect
10. C2×#2041C2semidirect
11. C2×#2023C2semidirect
12. C2×#1970C2semidirect
13. C2×#1939C2semidirect
14. C2×#1934C2semidirect
15. C2×#1879C2semidirect
16. C2×#1862C2semidirect
26. C2×#474C22semidirect
44. #2452C22semidirect
46. #2445C22semidirect
62. #2086C22semidirect
63. #2067C22semidirect
64. #2054C22semidirect
65. #2054C22semidirect
66. #2041C22semidirect
67. #2023C22semidirect
68. #1970C22semidirect
69. #1939C22semidirect
70. #1934C22semidirect
71. #1879C22semidirect
72. #1862C22semidirect
330. C2×C4⋊C4D8semidirect
567. C4⋊C4C2×D8semidirect
778. C2#31148direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4742
C22×#4592
C2×#24522
C2×#24452
#311482
C2×#20862
C2×#20672
C2×#20542
C2×#20412
C2×#20232
C2×#19702
C2×#19392
C2×#19342
C2×#18792
C2×#18622