Finite Group Databasebeta

← C2×#25204 #6441598

Subgroups — C2×#25204 #6441598

Order 512.

2788 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#483C211yesmaximal, characteristic, complemented
2C22×#465C211yesmaximal, characteristic
3C2×#2501C211yesmaximal, characteristic
4C2×#2360C211yesmaximal, characteristic, complemented
5#25204C2116yesmaximal, direct product factor
6C2×#2084C211yesmaximal, characteristic, complemented
7C2×#2072C211yesmaximal, characteristic, complemented
8C2×#2065C211yesmaximal, characteristic, complemented
9C2×#2055C211yesmaximal, characteristic, complemented
10C2×#1948C211yesmaximal, characteristic, complemented
11C2×#1926C211yesmaximal, characteristic, complemented
12C2×#1880C211yesmaximal, characteristic, complemented
13C2×#1874C211yesmaximal, characteristic
14C2×#1850C211yesmaximal, characteristic, complemented
15C2×#1803C211yesmaximal, characteristic, complemented
16C22×#340C211yesmaximal, characteristic, complemented
17C23×SD16C2211yescharacteristic
18C24×C8C2211yescharacteristic
19C22×#123—21no—
20C22×#123—21no—
21C22×C22⋊Q8C2211yescharacteristic
22C22×#121C2211yescharacteristic
23C22×C4×Q8C2211yescharacteristic
24C23×C4⋊C4C2211yescharacteristic
25C23×C4⋊C4C2211yescharacteristic
26C2×#483—28no—
27C2×#483C2218yescomplemented
28C2×#465—28no—
29C2×#465C2218yes—
30C22×#106C2211yescharacteristic
31C22×#106C2211yescharacteristic
32C22×#106C2211yescharacteristic
33C22×C4⋊C8C2211yescharacteristic
34C22×C4⋊C8C2211yescharacteristic
35C22×#103C2211yescharacteristic
36C22×#103C2211yescharacteristic
37C22×#103C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×#102C2211yescharacteristic
40C22×#102C2211yescharacteristic
41C22×C22⋊C8C2211yescharacteristic
42#2501—24no—
43#2501C2218yes—
44C2×#399—21no—
45C2×#399—21no—
46#2360—24no—
47#2360C2218yescomplemented
48C2×#391C2211yescharacteristic
49C2×#390C2211yescharacteristic
50C2×#390C2211yescharacteristic
51C2×#389—21no—
52C2×#389C2211yescharacteristic
53C2×#387—21no—
54C2×#385—21no—
55C2×#384C2211yescharacteristic
56C2×#384C2211yescharacteristic
57C2×C4×C4⋊C4C2211yescharacteristic
58C2×C4×C22⋊C4—21no—
59C2×C4×C22⋊C4C2211yescharacteristic
60#2084C2218yescomplemented
61#2072C2218yescomplemented
62#2065C2218yescomplemented
63#2055C2218yescomplemented
64#1948C2218yescomplemented
65#1926C2218yescomplemented
66#1880C2218yescomplemented
67#1874C2218yes—
68#1850C2218yescomplemented
69#1803C2218yescomplemented
70C2×#340C2211yescharacteristic
71C2×#340C2211yescharacteristic
72C2×#340C2211yescharacteristic
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2218yescomplemented
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×Q8C2311yescharacteristic
80C23×D4—21no—
81C23×D4C2311yescharacteristic
82C24×C4—21no—
83C24×C4—21no—
84C24×C4C2311yescharacteristic
85C22×SD16—24no—
86C22×SD16—24no—
87C22×SD16—42no—
88C22×SD16C2314yes—
89C23×C8—24no—
90C23×C8—24no—
91C23×C8—42no—
92C23×C8C2311yescharacteristic
93C23×C8C2311yescharacteristic
94C23×C8C2311yescharacteristic
95C23×C8C2314yes—
96C23×C8C2311yescharacteristic
97C2×#123—28no—
98C2×#123—28no—
99C2×#123—48no—
100C2×#123—48no—
101C2×C22⋊Q8—22no—
102C2×C22⋊Q8—24no—
103C2×C22⋊Q8D418yes—
104C2×C22⋊Q8C2314yes—
105C2×#121—22no—
106C2×#121—24no—
107C2×#121—24no—
108C2×#121C2314yes—
109C2×C4×Q8—22no—
110C2×C4×Q8—24no—
111C2×C4×Q8—42no—
112C2×C4×Q8C2314yes—
113C22×C4⋊C4—21no—
114C22×C4⋊C4—24no—
115C22×C4⋊C4—24no—
116C22×C4⋊C4—24no—
117C22×C4⋊C4—22no—
118C22×C4⋊C4—21no—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—21no—
121C22×C4⋊C4—21no—
122C22×C4⋊C4—21no—
123C22×C4⋊C4—22no—
124C22×C4⋊C4—21no—
125C22×C4⋊C4—21no—
126C22×C4⋊C4—21no—
127C22×C4⋊C4—42no—
128C22×C4⋊C4C2314yes—
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C4⋊C4C2311yescharacteristic
133C22×C4⋊C4C2314yes—
134C22×C4⋊C4C2311yescharacteristic
135C22×C4⋊C4C2311yescharacteristic
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×C22⋊C4D411yescharacteristic
143C22×C22⋊C4D411yescharacteristic
144C22×C42—21no—
145C22×C42—21no—
146C22×C42C2311yescharacteristic
147C22×C42C2311yescharacteristic
148#483—232no—
149#465—232no—
150C2×#106—24no—
151C2×#106—24no—
152C2×#106—24no—
153C2×#106C2314yes—
154C2×#106C2314yes—
155C2×#106C2314yes—
156C2×C4⋊C8—24no—
157C2×C4⋊C8—42no—
158C2×C4⋊C8C2314yes—
159C2×C4⋊C8C2314yes—
160C2×#103—24no—
161C2×#103—24no—
162C2×#103—24no—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#102—24no—
167C2×#102—24no—
168C2×#102—42no—
169C2×#102C2314yes—
170C2×#102C2314yes—
171C2×#102C2314yes—
172C2×C22⋊C8—24no—
173C2×C22⋊C8C2314yes—
174#399—28no—
175#399—28no—
176#391—22no—
177#391C2314yes—
178#390—22no—
179#390—22no—
180#390C2314yes—
181#390C2314yes—
182#389—22no—
183#389—28no—
184#389C2314yes—
185#387—28no—
186#385—28no—
187#384—22no—
188#384—22no—
189#384C2314yes—
190#384C2314yes—
191C4×C4⋊C4—22no—
192C4×C4⋊C4C2314yes—
193C4×C22⋊C4—28no—
194C4×C22⋊C4D414yes—
195C4×C22⋊C4C2314yes—
196C2×#95—21no—
197C2×#95—21no—
198C2×#95—21no—
199C2×#95—21no—
200C2×#95D411yescharacteristic
201C2×#95D411yescharacteristic
202#340C2314yes—
203#340C2314yes—
204#340C2314yes—
205#340C2314yes—
206#340C2314yes—
207#340C2314yes—
208#336C2314yes—
209#336C2314yes—
210C25—21no—
211C25C2×D411yescharacteristic
212C22×Q8—21no—
213C22×Q8—22no—
214C22×Q8—22no—
215C22×Q8—22no—
216C22×Q8—22no—
217C22×Q8—22no—
218C22×Q8C2×D414yes—
219C22×Q8C2412yes—
220C22×D4—24no—
221C22×D4—22no—
222C22×D4—21no—
223C22×D4—22no—
224C22×D4—22no—
225C22×D4—22no—
226C22×D4—22no—
227C22×D4—22no—
228C22×D4—44no—
229C22×D4—44no—
230C22×D4—44no—
231C22×D4C2412yes—
232C23×C4—22no—
233C23×C4—22no—
234C23×C4—22no—
235C23×C4—22no—
236C23×C4—21no—
237C23×C4—21no—
238C23×C4—21no—
239C23×C4—24no—
240C23×C4—21no—
241C23×C4—21no—
242C23×C4—21no—
243C23×C4—21no—
244C23×C4—24no—
245C23×C4—44no—
246C23×C4—44no—
247C23×C4—44no—
248C23×C4—44no—
249C23×C4—44no—
250C23×C4—82no—
251C23×C4C2×D411yescharacteristic
252C23×C4C2×D411yescharacteristic
253C23×C4C2×D412yes—
254C23×C4C2×D411yescharacteristic
255C23×C4C2×D414yes—
256C23×C4C2×D411yescharacteristic
257C23×C4C2×D411yescharacteristic
258C23×C4#4114yes—
259C23×C4C2412yes—
260C23×C4C2411yescharacteristic
261C2×SD16—28no—
262C2×SD16—28no—
263C2×SD16—44no—
264C2×SD16—416no—
265C22×C8—22no—
266C22×C8—22no—
267C22×C8—22no—
268C22×C8—28no—
269C22×C8—22no—
270C22×C8—22no—
271C22×C8—22no—
272C22×C8—22no—
273C22×C8—22no—
274C22×C8—22no—
275C22×C8—22no—
276C22×C8—22no—
277C22×C8—28no—
278C22×C8—44no—
279C22×C8—416no—
280C22×C8#4114yes—
281C22×C8C2412yes—
282C22×C8C2412yes—
283C22×C8C2412yes—
284C22×C8C2412yes—
285#123—432no—
286#123—432no—
287C22⋊Q8—216no—
288C22⋊Q8—28no—
289C22⋊Q8C2×D4116yes—
290#121—28no—
291#121—28no—
292#121—48no—
293C4×Q8—28no—
294C4×Q8—44no—
295C4×Q8—48no—
296C2×C4⋊C4—28no—
297C2×C4⋊C4—21no—
298C2×C4⋊C4—24no—
299C2×C4⋊C4—21no—
300C2×C4⋊C4—22no—
301C2×C4⋊C4—22no—
302C2×C4⋊C4—22no—
303C2×C4⋊C4—22no—
304C2×C4⋊C4—28no—
305C2×C4⋊C4—22no—
306C2×C4⋊C4—28no—
307C2×C4⋊C4—22no—
308C2×C4⋊C4—22no—
309C2×C4⋊C4—22no—
310C2×C4⋊C4—22no—
311C2×C4⋊C4—22no—
312C2×C4⋊C4—28no—
313C2×C4⋊C4—21no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—24no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—24no—
318C2×C4⋊C4—24no—
319C2×C4⋊C4—24no—
320C2×C4⋊C4—24no—
321C2×C4⋊C4—24no—
322C2×C4⋊C4—24no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—44no—
326C2×C4⋊C4—48no—
327C2×C4⋊C4—44no—
328C2×C4⋊C4—44no—
329C2×C4⋊C4—44no—
330C2×C4⋊C4—44no—
331C2×C4⋊C4—44no—
332C2×C4⋊C4—48no—
333C2×C4⋊C4—44no—
334C2×C4⋊C4—44no—
335C2×C4⋊C4—82no—
336C2×C4⋊C4C2×D414yes—
337C2×C4⋊C4#4114yes—
338C2×C4⋊C4C2412yes—
339C2×C4⋊C4C2412yes—
340C2×C4⋊C4C2412yes—
341C2×C4⋊C4C2412yes—
342C2×C4⋊C4C2412yes—
343C2×C4⋊C4C2412yes—
344C2×C22⋊C4—28no—
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—24no—
352C2×C22⋊C4—44no—
353C2×C22⋊C4—44no—
354C2×C22⋊C4—44no—
355C2×C22⋊C4—44no—
356C2×C22⋊C4—44no—
357C2×C22⋊C4SD1618yescomplemented
358C2×C22⋊C4C2×D414yes—
359C2×C22⋊C4C2×D414yes—
360C2×C42—22no—
361C2×C42—22no—
362C2×C42—22no—
363C2×C42—22no—
364C2×C42—24no—
365C2×C42—24no—
366C2×C42—44no—
367C2×C42—82no—
368C2×C42C2×D412yes—
369C2×C42C2×D412yes—
370C2×C42C2412yes—
371C2×C42C2412yes—
372#106—28no—
373#106—28no—
374#106—28no—
375C4⋊C8—28no—
376C4⋊C8—44no—
377#103—28no—
378#103—28no—
379#103—28no—
380#102—28no—
381#102—28no—
382#102—44no—
383C22⋊C8—28no—
384#95—24no—
385#95—24no—
386#95—24no—
387#95—24no—
388#95C2×D414yes—
389#95C2×D414yes—
390C24—22no—
391C24—22no—
392C24—22no—
393C24—22no—
394C24—22no—
395C24—42no—
396C24—42no—
397C24—42no—
398C24—42no—
399C24—42no—
400C24—42no—
401C24—42no—
402C24#12114yes—
403C24C2×SD1614yes—
404C24AGL(1,ℤ/8)14yes—
405C24C22×D412yes—
406C24C22×D411yescharacteristic
407C2×Q8—24no—
408C2×Q8—22no—
409C2×Q8—28no—
410C2×Q8—28no—
411C2×Q8—22no—
412C2×Q8—22no—
413C2×Q8—22no—
414C2×Q8—22no—
415C2×Q8—44no—
416C2×Q8—44no—
417C2×Q8—42no—
418C2×Q8—42no—
419C2×Q8C22×D414yes—
420C2×D4—22no—
421C2×D4—22no—
422C2×D4—22no—
423C2×D4—22no—
424C2×D4—22no—
425C2×D4—22no—
426C2×D4—48no—
427C2×D4—48no—
428C2×D4—48no—
429C2×D4—42no—
430C2×D4—44no—
431C2×D4—44no—
432C2×D4—44no—
433C2×D4—42no—
434C2×D4—44no—
435C2×D4—42no—
436C2×D4—816no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—28no—
444C22×C4—28no—
445C22×C4—24no—
446C22×C4—28no—
447C22×C4—28no—
448C22×C4—24no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—24no—
454C22×C4—24no—
455C22×C4—22no—
456C22×C4—24no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—48no—
470C22×C4—42no—
471C22×C4—42no—
472C22×C4—42no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—48no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—48no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—48no—
489C22×C4—48no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—84no—
493C22×C4—816no—
494C22×C4—816no—
495C22×C4#12114yes—
496C22×C4#12118yes—
497C22×C4C2×SD1614yes—
498C22×C4C2×SD1614yes—
499C22×C4C22×D412yes—
500C22×C4C22×D412yes—
501C22×C4C22×D412yes—
502C22×C4C22×D414yes—
503C22×C4C22×D412yes—
504C22×C4C22×D412yes—
505C22×C4C22×D411yescharacteristic
506C22×C4C22×D412yes—
507C22×C4C2×#4114yes—
508C22×C4C2×#4112yes—
509C22×C4C2×#4112yes—
510C22×C4C2×#4112yes—
511C22×C4H(5,𝔽2)12yes—
512C22×C42−1+412yes—
513C22×C4C2511yescharacteristic
514SD16—416no—
515C2×C8—28no—
516C2×C8—22no—
517C2×C8—22no—
518C2×C8—22no—
519C2×C8—22no—
520C2×C8—22no—
521C2×C8—22no—
522C2×C8—22no—
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8—416no—
528C2×C8—44no—
529C2×C8—44no—
530C2×C8—44no—
531C2×C8C2×#4114yes—
532C4⋊C4—216no—
533C4⋊C4—24no—
534C4⋊C4—24no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—48no—
546C4⋊C4—48no—
547C4⋊C4—48no—
548C4⋊C4—48no—
549C4⋊C4—48no—
550C4⋊C4—42no—
551C4⋊C4—42no—
552C4⋊C4—42no—
553C4⋊C4—42no—
554C4⋊C4—48no—
555C4⋊C4—48no—
556C4⋊C4—84no—
557C4⋊C4C22×D414yes—
558C4⋊C4C2×#4114yes—
559C22⋊C4—216no—
560C22⋊C4—28no—
561C22⋊C4—48no—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—48no—
565C22⋊C4—48no—
566C22⋊C4C2×SD16116yescomplemented
567C42—24no—
568C42—24no—
569C42—22no—
570C42—22no—
571C42—22no—
572C42—22no—
573C42—48no—
574C42—84no—
575C23—28no—
576C23—28no—
577C23—28no—
578C23—22no—
579C23—22no—
580C23—28no—
581C23—28no—
582C23—28no—
583C23—22no—
584C23—22no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—84no—
593C23—84no—
594C23—84no—
595C23—84no—
596C23—84no—
597C23—84no—
598C23—84no—
599C23#460116yes—
600C23C2×#12114yes—
601C23C2×#12112yes—
602C23#54612yes—
603C23#54712yes—
604C23C22×SD1614yes—
605C23C22×SD1612yes—
606C23C2×AGL(1,ℤ/8)14yes—
607C23C2×AGL(1,ℤ/8)12yes—
608C23#57712yes—
609C23#57812yes—
610C23C23×D411yescharacteristic
611Q8—24no—
612Q8—24no—
613Q8—42no—
614Q8—48no—
615Q8—42no—
616D4—42no—
617D4—42no—
618D4—42no—
619D4—42no—
620D4—816no—
621D4—84no—
622C2×C4—28no—
623C2×C4—28no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—28no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—24no—
632C2×C4—216no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—44no—
646C2×C4—48no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—48no—
650C2×C4—44no—
651C2×C4—48no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—816no—
669C2×C4—816no—
670C2×C4—84no—
671C2×C4—84no—
672C2×C4—84no—
673C2×C4—84no—
674C2×C4C2×#12114yes—
675C2×C4C2×#12112yes—
676C2×C4#52914yes—
677C2×C4#53914yes—
678C2×C4#54612yes—
679C2×C4#54614yes—
680C2×C4#54712yes—
681C2×C4#54714yes—
682C2×C4C22×SD1614yes—
683C2×C4C22×SD1614yes—
684C2×C4C23×D411yescharacteristic
685C2×C4C22×#4111yescharacteristic
686C2×C4C22×#4111yescharacteristic
687C2×C4C22×#4111yescharacteristic
688C2×C4C2×H(5,𝔽2)11yescharacteristic
689C2×C4C2×2−1+411yescharacteristic
690C8—24no—
691C8—42no—
692C8—42no—
693C8—42no—
694C22—24no—
695C22—24no—
696C22—24no—
697C22—24no—
698C22—232no—
699C22—24no—
700C22—24no—
701C22—82no—
702C22—82no—
703C22—82no—
704C22—82no—
705C22—82no—
706C22—82no—
707C22—82no—
708C22—168no—
709C22#242514yes—
710C22C2×#46018yes—
711C22C2×#46014yes—
712C22#304614yes—
713C22#329814yes—
714C22#330614yes—
715C22#333514yes—
716C22#334314yes—
717C22C22×#12111yescharacteristic
718C22C2×#54611yescharacteristic
719C22C2×#54711yescharacteristic
720C22C23×SD1611yescharacteristic
721C22C22×AGL(1,ℤ/8)11yescharacteristic
722C22C2×#57711yescharacteristic
723C22C2×#57811yescharacteristic
724C4—24no—
725C4—24no—
726C4—24no—
727C4—44no—
728C4—42no—
729C4—44no—
730C4—42no—
731C4—44no—
732C4—82no—
733C4—82no—
734C4—82no—
735C4—82no—
736C4#242514yes—
737C4C2×#52911yescharacteristic
738C4C2×#53911yescharacteristic
739C4C2×#54611yescharacteristic
740C4C2×#54711yescharacteristic
741C2—28no—
742C2—162no—
743C2#2520418yesdirect product factor
744C2C2×#242511yescharacteristic
745C2C22×#46011yescharacteristic
746C2C2×#304611yescharacteristic
747C2C2×#329811yescharacteristic
748C2C2×#330611yescharacteristic
749C2C2×#333511yescharacteristic
750C2C2×#334311yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C4×C22⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#483C2semidirect
4. C2×#2360C2semidirect
5. #25204C2direct (N × H)
6. C2×#2084C2semidirect
7. C2×#2072C2semidirect
8. C2×#2065C2semidirect
9. C2×#2055C2semidirect
10. C2×#1948C2semidirect
11. C2×#1926C2semidirect
12. C2×#1880C2semidirect
14. C2×#1850C2semidirect
15. C2×#1803C2semidirect
16. C22×#340C2semidirect
27. C2×#483C22semidirect
47. #2360C22semidirect
60. #2084C22semidirect
61. #2072C22semidirect
62. #2065C22semidirect
63. #2055C22semidirect
64. #1948C22semidirect
65. #1926C22semidirect
66. #1880C22semidirect
68. #1850C22semidirect
69. #1803C22semidirect
76. C2×#340C22semidirect
357. C2×C22⋊C4SD16semidirect
566. C22⋊C4C2×SD16semidirect
743. C2#25204direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4832
C22×#4652
C2×#25012
C2×#23602
#252042
C2×#20842
C2×#20722
C2×#20652
C2×#20552
C2×#19482
C2×#19262
C2×#18802
C2×#18742
C2×#18502
C2×#18032
C22×#3402