Finite Group Databasebeta

← C2×#25214 #6441601

Subgroups — C2×#25214 #6441601

Order 512.

2884 conjugacy classes of subgroups.

The subgroup lattice has 780 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#481C211yesmaximal, characteristic, complemented
2C22×#466C211yesmaximal, characteristic
3C2×#2504C211yesmaximal, characteristic, complemented
4C2×#2361C211yesmaximal, characteristic, complemented
5#25214C2116yesmaximal, direct product factor
6C2×#2085C211yesmaximal, characteristic, complemented
7C2×#2073C211yesmaximal, characteristic, complemented
8C2×#2065C211yesmaximal, characteristic, complemented
9C2×#2054C211yesmaximal, characteristic, complemented
10C2×#1949C211yesmaximal, characteristic, complemented
11C2×#1926C211yesmaximal, characteristic, complemented
12C2×#1879C211yesmaximal, characteristic, complemented
13C2×#1874C211yesmaximal, characteristic, complemented
14C2×#1850C211yesmaximal, characteristic, complemented
15C2×#1804C211yesmaximal, characteristic, complemented
16C22×#340C211yesmaximal, characteristic, complemented
17C23×D8C2211yescharacteristic
18C24×C8C2211yescharacteristic
19C22×#121C2211yescharacteristic
20C22×#121C2211yescharacteristic
21C22×C4×D4—21no—
22C22×C4×D4C2211yescharacteristic
23C23×C4⋊C4C2211yescharacteristic
24C23×C4⋊C4C2211yescharacteristic
25C2×#481—28no—
26C2×#481C2218yescomplemented
27C2×#466—28no—
28C2×#466C2218yes—
29C22×#107C2211yescharacteristic
30C22×#106C2211yescharacteristic
31C22×#106C2211yescharacteristic
32C22×C4⋊C8C2211yescharacteristic
33C22×C4⋊C8C2211yescharacteristic
34C22×#102C2211yescharacteristic
35C22×#102C2211yescharacteristic
36C22×#102C2211yescharacteristic
37C22×#102C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×#102C2211yescharacteristic
40C22×C22⋊C8C2211yescharacteristic
41#2504—24no—
42#2504C2218yescomplemented
43C2×#397—21no—
44C2×#397—21no—
45#2361—24no—
46#2361C2218yescomplemented
47C2×#390C2211yescharacteristic
48C2×#390C2211yescharacteristic
49C2×#390C2211yescharacteristic
50C2×#389C2211yescharacteristic
51C2×#388—21no—
52C2×#386—21no—
53C2×#386—21no—
54C2×#386—21no—
55C2×#385—21no—
56C2×#382C2211yescharacteristic
57C2×#382C2211yescharacteristic
58C2×C4×C4⋊C4C2211yescharacteristic
59C2×C4×C22⋊C4C2211yescharacteristic
60#2085C2218yescomplemented
61#2073C2218yescomplemented
62#2065C2218yescomplemented
63#2054C2218yescomplemented
64#1949C2218yescomplemented
65#1926C2218yescomplemented
66#1879C2218yescomplemented
67#1874C2218yescomplemented
68#1850C2218yescomplemented
69#1804C2218yescomplemented
70C2×#340C2211yescharacteristic
71C2×#340C2211yescharacteristic
72C2×#340C2211yescharacteristic
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#340C2211yescharacteristic
76C2×#340C2218yescomplemented
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×D4—21no—
80C23×D4—21no—
81C23×D4C2311yescharacteristic
82C23×D4C2311yescharacteristic
83C24×C4—21no—
84C24×C4—21no—
85C24×C4—21no—
86C24×C4C2311yescharacteristic
87C22×D8—24no—
88C22×D8—24no—
89C22×D8—42no—
90C22×D8C2314yes—
91C23×C8—24no—
92C23×C8—24no—
93C23×C8—42no—
94C23×C8C2311yescharacteristic
95C23×C8C2311yescharacteristic
96C23×C8C2311yescharacteristic
97C23×C8C2314yes—
98C23×C8C2311yescharacteristic
99C2×#121—22no—
100C2×#121—24no—
101C2×#121—22no—
102C2×#121—24no—
103C2×#121—24no—
104C2×#121D418yes—
105C2×#121C2314yes—
106C2×#121C2314yes—
107C2×C4×D4—28no—
108C2×C4×D4—24no—
109C2×C4×D4—22no—
110C2×C4×D4—42no—
111C2×C4×D4—48no—
112C2×C4×D4C2314yes—
113C22×C4⋊C4—24no—
114C22×C4⋊C4—24no—
115C22×C4⋊C4—24no—
116C22×C4⋊C4—22no—
117C22×C4⋊C4—21no—
118C22×C4⋊C4—22no—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—21no—
121C22×C4⋊C4—42no—
122C22×C4⋊C4C2314yes—
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2314yes—
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⋊C4D411yescharacteristic
140C22×C22⋊C4D411yescharacteristic
141C22×C42—21no—
142C22×C42C2311yescharacteristic
143C22×C42C2311yescharacteristic
144#481—232no—
145#466—232no—
146C2×#107—24no—
147C2×#107C2314yes—
148C2×#106—24no—
149C2×#106—24no—
150C2×#106C2314yes—
151C2×#106C2314yes—
152C2×C4⋊C8—24no—
153C2×C4⋊C8—42no—
154C2×C4⋊C8C2314yes—
155C2×C4⋊C8C2314yes—
156C2×#102—24no—
157C2×#102—24no—
158C2×#102—24no—
159C2×#102—24no—
160C2×#102—24no—
161C2×#102—42no—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×#102C2314yes—
166C2×#102C2314yes—
167C2×#102C2314yes—
168C2×C22⋊C8—24no—
169C2×C22⋊C8C2314yes—
170#397—28no—
171#397—28no—
172#390—22no—
173#390—22no—
174#390—22no—
175#390C2314yes—
176#390C2314yes—
177#390C2314yes—
178#389—22no—
179#389C2314yes—
180#388—28no—
181#386—28no—
182#386—28no—
183#386—28no—
184#385—28no—
185#382—22no—
186#382—22no—
187#382C2314yes—
188#382C2314yes—
189C4×C4⋊C4—22no—
190C4×C4⋊C4C2314yes—
191C4×C22⋊C4D414yes—
192C4×C22⋊C4C2314yes—
193C2×#95—21no—
194C2×#95—21no—
195C2×#95—21no—
196C2×#95—21no—
197C2×#95—21no—
198C2×#95—21no—
199C2×#95D411yescharacteristic
200C2×#95D411yescharacteristic
201#340C2314yes—
202#340C2314yes—
203#340C2314yes—
204#340C2314yes—
205#340C2314yes—
206#340C2314yes—
207#336C2314yes—
208#336C2314yes—
209C25—21no—
210C25—21no—
211C25C2×D411yescharacteristic
212C22×D4—28no—
213C22×D4—24no—
214C22×D4—24no—
215C22×D4—21no—
216C22×D4—22no—
217C22×D4—21no—
218C22×D4—22no—
219C22×D4—22no—
220C22×D4—22no—
221C22×D4—22no—
222C22×D4—22no—
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×D4—44no—
232C22×D4—44no—
233C22×D4C2×D414yes—
234C22×D4C2412yes—
235C22×D4C2412yes—
236C23×C4—22no—
237C23×C4—22no—
238C23×C4—22no—
239C23×C4—22no—
240C23×C4—21no—
241C23×C4—21no—
242C23×C4—21no—
243C23×C4—21no—
244C23×C4—21no—
245C23×C4—21no—
246C23×C4—24no—
247C23×C4—24no—
248C23×C4—24no—
249C23×C4—44no—
250C23×C4—44no—
251C23×C4—44no—
252C23×C4—44no—
253C23×C4—44no—
254C23×C4—82no—
255C23×C4—82no—
256C23×C4—82no—
257C23×C4—82no—
258C23×C4C2×D411yescharacteristic
259C23×C4C2×D411yescharacteristic
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D411yescharacteristic
262C23×C4C2×D412yes—
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D414yes—
265C23×C4#4114yes—
266C23×C4C2412yes—
267C23×C4C2411yescharacteristic
268C2×D8—28no—
269C2×D8—28no—
270C2×D8—44no—
271C2×D8—416no—
272C22×C8—22no—
273C22×C8—22no—
274C22×C8—22no—
275C22×C8—28no—
276C22×C8—22no—
277C22×C8—22no—
278C22×C8—22no—
279C22×C8—22no—
280C22×C8—22no—
281C22×C8—22no—
282C22×C8—22no—
283C22×C8—22no—
284C22×C8—28no—
285C22×C8—44no—
286C22×C8—416no—
287C22×C8#4114yes—
288C22×C8C2412yes—
289C22×C8C2412yes—
290C22×C8C2412yes—
291C22×C8C2412yes—
292#121—216no—
293#121—28no—
294#121—28no—
295#121—28no—
296#121—48no—
297#121C2×D4116yes—
298C4×D4—28no—
299C4×D4—44no—
300C4×D4—48no—
301C4×D4—432no—
302C2×C4⋊C4—21no—
303C2×C4⋊C4—21no—
304C2×C4⋊C4—22no—
305C2×C4⋊C4—22no—
306C2×C4⋊C4—22no—
307C2×C4⋊C4—22no—
308C2×C4⋊C4—28no—
309C2×C4⋊C4—22no—
310C2×C4⋊C4—28no—
311C2×C4⋊C4—22no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—28no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—24no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—24no—
322C2×C4⋊C4—24no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—44no—
325C2×C4⋊C4—48no—
326C2×C4⋊C4—44no—
327C2×C4⋊C4—44no—
328C2×C4⋊C4—44no—
329C2×C4⋊C4—48no—
330C2×C4⋊C4C2×D414yes—
331C2×C4⋊C4#4114yes—
332C2×C4⋊C4C2412yes—
333C2×C4⋊C4C2412yes—
334C2×C4⋊C4C2412yes—
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—28no—
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—44no—
351C2×C22⋊C4—44no—
352C2×C22⋊C4—44no—
353C2×C22⋊C4—82no—
354C2×C22⋊C4—82no—
355C2×C22⋊C4—82no—
356C2×C22⋊C4—82no—
357C2×C22⋊C4—82no—
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—44no—
366C2×C42C2×D412yes—
367C2×C42C2×D412yes—
368C2×C42C2412yes—
369C2×C42C2412yes—
370#107—28no—
371#106—28no—
372#106—28no—
373C4⋊C8—28no—
374C4⋊C8—44no—
375#102—28no—
376#102—28no—
377#102—28no—
378#102—28no—
379#102—28no—
380#102—44no—
381C22⋊C8—28no—
382#95—24no—
383#95—24no—
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—24no—
395C24—22no—
396C24—22no—
397C24—42no—
398C24—42no—
399C24—42no—
400C24—42no—
401C24—42no—
402C24—42no—
403C24—42no—
404C24—42no—
405C24—42no—
406C24—42no—
407C24—42no—
408C24—42no—
409C24—42no—
410C24#12114yes—
411C24#13514yes—
412C24AGL(1,ℤ/8)14yes—
413C24C22×D412yes—
414C24C22×D411yescharacteristic
415C2×D4—216no—
416C2×D4—24no—
417C2×D4—28no—
418C2×D4—28no—
419C2×D4—22no—
420C2×D4—22no—
421C2×D4—22no—
422C2×D4—22no—
423C2×D4—22no—
424C2×D4—22no—
425C2×D4—22no—
426C2×D4—22no—
427C2×D4—22no—
428C2×D4—22no—
429C2×D4—22no—
430C2×D4—48no—
431C2×D4—48no—
432C2×D4—432no—
433C2×D4—48no—
434C2×D4—48no—
435C2×D4—48no—
436C2×D4—42no—
437C2×D4—44no—
438C2×D4—44no—
439C2×D4—44no—
440C2×D4—44no—
441C2×D4—42no—
442C2×D4—44no—
443C2×D4—42no—
444C2×D4—42no—
445C2×D4—44no—
446C2×D4—42no—
447C2×D4—816no—
448C2×D4C22×D414yes—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—28no—
452C22×C4—28no—
453C22×C4—24no—
454C22×C4—28no—
455C22×C4—28no—
456C22×C4—24no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—24no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
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—22no—
480C22×C4—22no—
481C22×C4—48no—
482C22×C4—48no—
483C22×C4—48no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—48no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—48no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—84no—
503C22×C4—84no—
504C22×C4—84no—
505C22×C4—84no—
506C22×C4—816no—
507C22×C4—816no—
508C22×C4—816no—
509C22×C4#12114yes—
510C22×C4#12118yes—
511C22×C4C22×D412yes—
512C22×C4C22×D412yes—
513C22×C4C22×D412yes—
514C22×C4C22×D412yes—
515C22×C4C22×D412yes—
516C22×C4C22×D414yes—
517C22×C4C22×D411yescharacteristic
518C22×C4C22×D412yes—
519C22×C4C2×#4114yes—
520C22×C4C2×#4112yes—
521C22×C4C2×#4112yes—
522C22×C4C2×#4112yes—
523C22×C4H(5,𝔽2)12yes—
524C22×C42−1+412yes—
525C22×C4C2511yescharacteristic
526D8—416no—
527C2×C8—28no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—416no—
540C2×C8—44no—
541C2×C8—44no—
542C2×C8—44no—
543C2×C8C2×#4114yes—
544C4⋊C4—24no—
545C4⋊C4—24no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—48no—
557C4⋊C4—48no—
558C4⋊C4—48no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4C22×D414yes—
564C4⋊C4C2×#4114yes—
565C22⋊C4—28no—
566C22⋊C4—28no—
567C22⋊C4—216no—
568C22⋊C4—48no—
569C22⋊C4—48no—
570C22⋊C4—48no—
571C22⋊C4—84no—
572C22⋊C4—84no—
573C22⋊C4—84no—
574C22⋊C4—84no—
575C22⋊C4—84no—
576C42—24no—
577C42—24no—
578C42—22no—
579C42—22no—
580C42—22no—
581C42—22no—
582C42—48no—
583C23—28no—
584C23—28no—
585C23—28no—
586C23—22no—
587C23—22no—
588C23—28no—
589C23—28no—
590C23—28no—
591C23—22no—
592C23—22no—
593C23—24no—
594C23—48no—
595C23—42no—
596C23—42no—
597C23—48no—
598C23—48no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—84no—
611C23—84no—
612C23—84no—
613C23—84no—
614C23—84no—
615C23—84no—
616C23—84no—
617C23—84no—
618C23—84no—
619C23—84no—
620C23—84no—
621C23#463116yes—
622C23C2×#12114yes—
623C23C2×#12112yes—
624C23#54612yes—
625C23#54712yes—
626C23C2×#13514yes—
627C23C2×#13512yes—
628C23C2×AGL(1,ℤ/8)14yes—
629C23C2×AGL(1,ℤ/8)12yes—
630C23#57612yes—
631C23#57712yes—
632C23C23×D411yescharacteristic
633D4—24no—
634D4—24no—
635D4—432no—
636D4—42no—
637D4—42no—
638D4—48no—
639D4—42no—
640D4—42no—
641D4—42no—
642D4—42no—
643D4—816no—
644D4—84no—
645C2×C4—28no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—24no—
649C2×C4—216no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—24no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—44no—
668C2×C4—44no—
669C2×C4—48no—
670C2×C4—44no—
671C2×C4—44no—
672C2×C4—48no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
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—816no—
690C2×C4—816no—
691C2×C4—816no—
692C2×C4—84no—
693C2×C4—84no—
694C2×C4—84no—
695C2×C4—84no—
696C2×C4C2×#12114yes—
697C2×C4C2×#12112yes—
698C2×C4#52914yes—
699C2×C4#53914yes—
700C2×C4#54612yes—
701C2×C4#54614yes—
702C2×C4#54712yes—
703C2×C4#54714yes—
704C2×C4C23×D411yescharacteristic
705C2×C4C22×#4111yescharacteristic
706C2×C4C22×#4111yescharacteristic
707C2×C4C22×#4111yescharacteristic
708C2×C4C2×H(5,𝔽2)11yescharacteristic
709C2×C4C2×2−1+411yescharacteristic
710C8—24no—
711C8—42no—
712C8—42no—
713C8—42no—
714C22—24no—
715C22—24no—
716C22—24no—
717C22—24no—
718C22—232no—
719C22—24no—
720C22—24no—
721C22—44no—
722C22—44no—
723C22—44no—
724C22—82no—
725C22—82no—
726C22—816no—
727C22—82no—
728C22—82no—
729C22—82no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22—82no—
735C22—82no—
736C22—168no—
737C22#242514yes—
738C22C2×#46318yes—
739C22C2×#46314yes—
740C22#304514yes—
741C22#330114yes—
742C22#331814yes—
743C22#333914yes—
744C22#334514yes—
745C22C22×#12111yescharacteristic
746C22C2×#54611yescharacteristic
747C22C2×#54711yescharacteristic
748C22C22×#13511yescharacteristic
749C22C22×AGL(1,ℤ/8)11yescharacteristic
750C22C2×#57611yescharacteristic
751C22C2×#57711yescharacteristic
752C4—24no—
753C4—42no—
754C4—42no—
755C4—42no—
756C4—42no—
757C4—44no—
758C4—44no—
759C4—82no—
760C4—82no—
761C4—82no—
762C4—82no—
763C4#242514yes—
764C4C2×#52911yescharacteristic
765C4C2×#53911yescharacteristic
766C4C2×#54611yescharacteristic
767C4C2×#54711yescharacteristic
768C2—28no—
769C2—84no—
770C2—162no—
771C2#2521418yesdirect product factor
772C2C2×#242511yescharacteristic
773C2C22×#46311yescharacteristic
774C2C2×#304511yescharacteristic
775C2C2×#330111yescharacteristic
776C2C2×#331811yescharacteristic
777C2C2×#333911yescharacteristic
778C2C2×#334511yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#466C2
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×#481C2semidirect
3. C2×#2504C2semidirect
4. C2×#2361C2semidirect
5. #25214C2direct (N × H)
6. C2×#2085C2semidirect
7. C2×#2073C2semidirect
8. C2×#2065C2semidirect
9. C2×#2054C2semidirect
10. C2×#1949C2semidirect
11. C2×#1926C2semidirect
12. C2×#1879C2semidirect
13. C2×#1874C2semidirect
14. C2×#1850C2semidirect
15. C2×#1804C2semidirect
16. C22×#340C2semidirect
26. C2×#481C22semidirect
42. #2504C22semidirect
46. #2361C22semidirect
60. #2085C22semidirect
61. #2073C22semidirect
62. #2065C22semidirect
63. #2054C22semidirect
64. #1949C22semidirect
65. #1926C22semidirect
66. #1879C22semidirect
67. #1874C22semidirect
68. #1850C22semidirect
69. #1804C22semidirect
76. C2×#340C22semidirect
771. C2#25214direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4812
C22×#4662
C2×#25042
C2×#23612
#252142
C2×#20852
C2×#20732
C2×#20652
C2×#20542
C2×#19492
C2×#19262
C2×#18792
C2×#18742
C2×#18502
C2×#18042
C22×#3402