Finite Group Databasebeta

← #367309

Subgroups — #367309

Order 512.

1500 conjugacy classes of subgroups.

The subgroup lattice has 809 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#1972C211yesmaximal, characteristic
2C2×#1972C211yesmaximal, characteristic
3C2×#1970C211yesmaximal, characteristic
4C2×#1926C211yesmaximal, characteristic, complemented
5C2×#1925C211yesmaximal, characteristic, complemented
6C2×#1847C211yesmaximal, characteristic, complemented
7C2×C4×#106C211yesmaximal, characteristic, complemented
8#14002C211yesmaximal, characteristic, complemented
9#14001C211yesmaximal, characteristic, complemented
10#11123C211yesmaximal, characteristic, complemented
11#11121C211yesmaximal, characteristic, complemented
12#11051C211yesmaximal, characteristic, complemented
13#11049C211yesmaximal, characteristic, complemented
14#10863C211yesmaximal, characteristic, complemented
15#10696C211yesmaximal, characteristic, complemented
16C23×D8C2211yescharacteristic
17C22×#107C2211yescharacteristic
18C22×#107C2211yescharacteristic
19C22×#106C2211yescharacteristic
20C22×#106C2211yescharacteristic
21C22×#106C2211yescharacteristic
22C22×#102C2211yescharacteristic
23C22×#102C2211yescharacteristic
24C22×#102C2211yescharacteristic
25C22×#102C2211yescharacteristic
26C22×#102C2211yescharacteristic
27C22×#102C2211yescharacteristic
28C22×#97C2211yescharacteristic
29C22×#97C2211yescharacteristic
30C22×C4×C8C2211yescharacteristic
31C2×#390C2211yescharacteristic
32C2×#390C2211yescharacteristic
33C2×#390C2211yescharacteristic
34C2×#390C2211yescharacteristic
35C2×#390C2211yescharacteristic
36C2×#390C2211yescharacteristic
37C2×#388—22no—
38C2×#384C2211yescharacteristic
39C2×#382C2211yescharacteristic
40C2×C4×C4⋊C4C2211yescharacteristic
41C2×C4×C4⋊C4C2211yescharacteristic
42#1972—24no—
43#1972C418yescomplemented
44#1970—24no—
45#1926—24no—
46#1925—24no—
47#1847—24no—
48C4×#106—24no—
49C2×#340C2211yescharacteristic
50C2×#340C2211yescharacteristic
51C2×#340C2211yescharacteristic
52C2×#340C2211yescharacteristic
53C2×#336C2211yescharacteristic
54C2×#336C2211yescharacteristic
55C2×#336C2211yescharacteristic
56#1440—22no—
57#1439—22no—
58#1437—22no—
59C4⋊#95C2211yescharacteristic
60C4⋊#95C2211yescharacteristic
61C4×#95C2211yescharacteristic
62C23×D4C2311yescharacteristic
63C23×D4C2311yescharacteristic
64C22×D8—22no—
65C22×D8—22no—
66C22×D8—22no—
67C22×D8—22no—
68C22×D8—22no—
69C22×D8—22no—
70C22×D8C2×C414yes—
71C23×C8C2311yescharacteristic
72C23×C8C2311yescharacteristic
73C23×C8C2311yescharacteristic
74C23×C8C2311yescharacteristic
75C22×C4⋊C4—22no—
76C22×C4⋊C4C2311yescharacteristic
77C22×C4⋊C4C2311yescharacteristic
78C22×C4⋊C4C2311yescharacteristic
79C22×C4⋊C4C2311yescharacteristic
80C22×C4⋊C4C2311yescharacteristic
81C22×C4⋊C4C2311yescharacteristic
82C22×C22⋊C4—22no—
83C22×C22⋊C4—22no—
84C22×C22⋊C4—21no—
85C22×C22⋊C4—21no—
86C22×C22⋊C4—22no—
87C22×C22⋊C4—22no—
88C22×C22⋊C4—21no—
89C22×C22⋊C4—21no—
90C22×C42—21no—
91C22×C42—21no—
92C22×C42C2311yescharacteristic
93C22×C42C2311yescharacteristic
94C22×C42C2311yescharacteristic
95C2×#107—22no—
96C2×#107—22no—
97C2×#107—22no—
98C2×#107—22no—
99C2×#107—22no—
100C2×#107—41no—
101C2×#106—22no—
102C2×#106—22no—
103C2×#106—22no—
104C2×#106—22no—
105C2×#106—22no—
106C2×#106—22no—
107C2×#106—41no—
108C2×#106C2×C414yes—
109C2×#106D414yes—
110C2×#102—22no—
111C2×#102—22no—
112C2×#102—22no—
113C2×#102—22no—
114C2×#102—22no—
115C2×#102—22no—
116C2×#102—22no—
117C2×#102—22no—
118C2×#102—22no—
119C2×#102—22no—
120C2×#102—41no—
121C2×#102—41no—
122C2×#102—41no—
123C2×#102—41no—
124C2×#102—41no—
125C2×#102—41no—
126C2×#102C2×C414yes—
127C2×#102C2×C414yes—
128C2×#97—22no—
129C2×#97—22no—
130C2×#97—22no—
131C2×#97—22no—
132C2×#97—22no—
133C2×#97C2×C414yes—
134C2×C4×C8—22no—
135C2×C4×C8—22no—
136C2×C4×C8D414yes—
137#390—22no—
138#390—22no—
139#390—22no—
140#390—22no—
141#390—22no—
142#390—22no—
143#390—22no—
144#390—22no—
145#390—41no—
146#390—41no—
147#390C2×C414yes—
148#390C2×C414yes—
149#388—48no—
150#384—22no—
151#384—41no—
152#382—22no—
153#382—41no—
154C4×C4⋊C4—22no—
155C4×C4⋊C4—22no—
156C4×C4⋊C4—22no—
157C4×C4⋊C4—22no—
158C2×#95—22no—
159C2×#95—22no—
160C2×#95—21no—
161C2×#95—21no—
162C2×#95—22no—
163C2×#95D412yes—
164C2×#95D412yes—
165#340—22no—
166#340—22no—
167#340—22no—
168#340—22no—
169#336—22no—
170#336—22no—
171#336D414yes—
172C25—21no—
173C25—21no—
174C22×D4—21no—
175C22×D4—21no—
176C22×D4—21no—
177C22×D4—21no—
178C22×D4—21no—
179C22×D4—21no—
180C22×D4—21no—
181C22×D4—21no—
182C22×D4—21no—
183C22×D4—21no—
184C22×D4—21no—
185C22×D4—21no—
186C22×D4—21no—
187C22×D4—21no—
188C22×D4—21no—
189C22×D4—21no—
190C22×D4—21no—
191C22×D4—21no—
192C22×D4—21no—
193C22×D4—21no—
194C22×D4—21no—
195C22×D4—21no—
196C22×D4—21no—
197C22×D4—21no—
198C22×D4—21no—
199C22×D4—21no—
200C22×D4C22×C412yes—
201C22×D4C22×C412yes—
202C23×C4—21no—
203C23×C4—21no—
204C23×C4—21no—
205C23×C4—21no—
206C23×C4—21no—
207C23×C4—21no—
208C23×C4C2×D412yes—
209C23×C4C2×D412yes—
210C23×C4C2×D411yescharacteristic
211C23×C4C2×D411yescharacteristic
212C23×C4C2411yescharacteristic
213C2×D8—28no—
214C2×D8—28no—
215C2×D8—28no—
216C2×D8—44no—
217C2×D8—44no—
218C2×D8—44no—
219C2×D8—44no—
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×C8—21no—
230C22×C8—21no—
231C22×C8—21no—
232C22×C8—21no—
233C22×C8—21no—
234C22×C8—21no—
235C22×C8—21no—
236C22×C8C22×C412yes—
237C22×C8C22×C412yes—
238C22×C8C2×D412yes—
239C22×C8C2×D412yes—
240C22×C8C2×D412yes—
241C22×C8C2×D412yes—
242C22×C8C2×D412yes—
243C22×C8#4112yes—
244C22×C8#4112yes—
245C22×C8#4112yes—
246C22×C8#4112yes—
247C22×C8#4112yes—
248C2×C4⋊C4—21no—
249C2×C4⋊C4—21no—
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—44no—
281C2×C4⋊C4—44no—
282C2×C4⋊C4—82no—
283C2×C4⋊C4C22×C412yes—
284C2×C4⋊C4C22×C412yes—
285C2×C4⋊C4C2×D412yes—
286C2×C4⋊C4C2×D412yes—
287C2×C22⋊C4—28no—
288C2×C22⋊C4—28no—
289C2×C22⋊C4—44no—
290C2×C22⋊C4—44no—
291C2×C22⋊C4—44no—
292C2×C22⋊C4—44no—
293C2×C22⋊C4—44no—
294C2×C22⋊C4—44no—
295C2×C22⋊C4—42no—
296C2×C22⋊C4—42no—
297C2×C22⋊C4—42no—
298C2×C22⋊C4—42no—
299C2×C22⋊C4—44no—
300C2×C22⋊C4—44no—
301C2×C22⋊C4—82no—
302C2×C22⋊C4—82no—
303C2×C22⋊C4—82no—
304C2×C22⋊C4—82no—
305C2×C22⋊C4—82no—
306C2×C22⋊C4—82no—
307C2×C42—21no—
308C2×C42—21no—
309C2×C42—21no—
310C2×C42—21no—
311C2×C42—21no—
312C2×C42—21no—
313C2×C42—21no—
314C2×C42—21no—
315C2×C42—21no—
316C2×C42—21no—
317C2×C42—21no—
318C2×C42—21no—
319C2×C42—21no—
320C2×C42—21no—
321C2×C42—42no—
322C2×C42—42no—
323C2×C42—44no—
324C2×C42—82no—
325C2×C42C22×C412yes—
326C2×C42C2×D412yes—
327C2×C42C2×D412yes—
328C2×C42#4112yes—
329#107—44no—
330#107—44no—
331#106—28no—
332#106—28no—
333#106—44no—
334#102—28no—
335#102—28no—
336#102—44no—
337#102—44no—
338#102—44no—
339#102—44no—
340#97—28no—
341#97—44no—
342C4×C8—28no—
343#95—24no—
344#95—42no—
345#95—44no—
346#95—44no—
347#95—42no—
348#95—42no—
349#95—82no—
350C24—22no—
351C24—22no—
352C24—41no—
353C24—41no—
354C24—41no—
355C24—41no—
356C24—41no—
357C24—41no—
358C24—41no—
359C24—41no—
360C24—41no—
361C24—41no—
362C24—41no—
363C24—41no—
364C24—42no—
365C24—42no—
366C24—42no—
367C24—42no—
368C24—42no—
369C24—42no—
370C24—42no—
371C24—42no—
372C24C22×D411yescharacteristic
373C2×D4—22no—
374C2×D4—22no—
375C2×D4—22no—
376C2×D4—22no—
377C2×D4—22no—
378C2×D4—22no—
379C2×D4—22no—
380C2×D4—22no—
381C2×D4—22no—
382C2×D4—22no—
383C2×D4—22no—
384C2×D4—22no—
385C2×D4—41no—
386C2×D4—41no—
387C2×D4—41no—
388C2×D4—41no—
389C2×D4—41no—
390C2×D4—41no—
391C2×D4—41no—
392C2×D4—41no—
393C2×D4—41no—
394C2×D4—41no—
395C2×D4—41no—
396C2×D4—41no—
397C2×D4—41no—
398C2×D4—41no—
399C2×D4—41no—
400C2×D4—41no—
401C2×D4—41no—
402C2×D4—41no—
403C2×D4—41no—
404C2×D4—41no—
405C2×D4—41no—
406C2×D4—41no—
407C2×D4—41no—
408C2×D4—41no—
409C2×D4—41no—
410C2×D4—41no—
411C2×D4—41no—
412C2×D4—41no—
413C2×D4—41no—
414C2×D4—41no—
415C2×D4—41no—
416C2×D4—41no—
417C2×D4—41no—
418C2×D4—41no—
419C2×D4—41no—
420C2×D4—41no—
421C2×D4—41no—
422C2×D4—41no—
423C2×D4—41no—
424C2×D4—41no—
425C2×D4—41no—
426C2×D4—41no—
427C2×D4—41no—
428C2×D4—41no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—41no—
454C22×C4—41no—
455C22×C4—41no—
456C22×C4—41no—
457C22×C4—41no—
458C22×C4—41no—
459C22×C4—41no—
460C22×C4—41no—
461C22×C4—42no—
462C22×C4—42no—
463C22×C4—42no—
464C22×C4—42no—
465C22×C4—42no—
466C22×C4—42no—
467C22×C4—42no—
468C22×C4—42no—
469C22×C4—41no—
470C22×C4—41no—
471C22×C4—41no—
472C22×C4—41no—
473C22×C4—41no—
474C22×C4—41no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4C4×D414yes—
480C22×C4#12712yes—
481C22×C4#12712yes—
482C22×C4AGL(1,ℤ/8)14yes—
483C22×C4C23×C411yescharacteristic
484C22×C4C22×D411yescharacteristic
485C22×C4C22×D411yescharacteristic
486C22×C4C22×D411yescharacteristic
487C22×C4C2×#4111yescharacteristic
488C22×C4C2×#4111yescharacteristic
489C22×C4C2×#4111yescharacteristic
490C22×C4C2×#4111yescharacteristic
491C22×C4C2×#4111yescharacteristic
492C22×C4C2×#4111yescharacteristic
493C22×C4H(5,𝔽2)11yescharacteristic
494C22×C4H(5,𝔽2)11yescharacteristic
495C22×C42−1+411yescharacteristic
496C22×C42−1+411yescharacteristic
497D8—416no—
498C2×C8—22no—
499C2×C8—22no—
500C2×C8—22no—
501C2×C8—22no—
502C2×C8—22no—
503C2×C8—22no—
504C2×C8—22no—
505C2×C8—22no—
506C2×C8—22no—
507C2×C8—22no—
508C2×C8—22no—
509C2×C8—22no—
510C2×C8—41no—
511C2×C8—41no—
512C2×C8—41no—
513C2×C8—41no—
514C2×C8—41no—
515C2×C8—41no—
516C2×C8—41no—
517C2×C8—41no—
518C2×C8#11714yes—
519C2×C8C4×D414yes—
520C2×C8C4×D414yes—
521C2×C8C4×D414yes—
522C2×C8#12114yes—
523C2×C8#12314yes—
524C2×C8#12414yes—
525C2×C8#12614yes—
526C4⋊C4—22no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—22no—
533C4⋊C4—22no—
534C4⋊C4—41no—
535C4⋊C4—41no—
536C4⋊C4—41no—
537C4⋊C4—41no—
538C4⋊C4—41no—
539C4⋊C4—41no—
540C4⋊C4—41no—
541C4⋊C4—41no—
542C4⋊C4—41no—
543C4⋊C4—41no—
544C4⋊C4—41no—
545C4⋊C4—41no—
546C4⋊C4—41no—
547C4⋊C4—41no—
548C4⋊C4—41no—
549C4⋊C4—41no—
550C4⋊C4—88no—
551C22⋊C4—416no—
552C22⋊C4—88no—
553C22⋊C4—84no—
554C22⋊C4—84no—
555C22⋊C4—88no—
556C22⋊C4—88no—
557C22⋊C4—84no—
558C22⋊C4—84no—
559C42—22no—
560C42—22no—
561C42—22no—
562C42—22no—
563C42—22no—
564C42—22no—
565C42—22no—
566C42—22no—
567C42—41no—
568C42—41no—
569C42—41no—
570C42—41no—
571C42—84no—
572C42—84no—
573C23—42no—
574C23—42no—
575C23—42no—
576C23—42no—
577C23—42no—
578C23—42no—
579C23—44no—
580C23—44no—
581C23—44no—
582C23—44no—
583C23—82no—
584C23—82no—
585C23—82no—
586C23—82no—
587C23—82no—
588C23—82no—
589C23—82no—
590C23—82no—
591C23—82no—
592C23—82no—
593C23—82no—
594C23—82no—
595C23—81no—
596C23—81no—
597C23—81no—
598C23—81no—
599C23—81no—
600C23—81no—
601C23—81no—
602C23—81no—
603C23—82no—
604C23—82no—
605C23—82no—
606C23—82no—
607C23—81no—
608C23—81no—
609C23—81no—
610C23—81no—
611C23—82no—
612C23—82no—
613C23—82no—
614C23—82no—
615C23—81no—
616C23—81no—
617C23—81no—
618C23—81no—
619C23C2×C4×D411yescharacteristic
620C23C2×#12711yescharacteristic
621C23#53211yescharacteristic
622C23D4211yescharacteristic
623C23#54711yescharacteristic
624C23#54711yescharacteristic
625C23#55011yescharacteristic
626C23C2×AGL(1,ℤ/8)12yes—
627C23#57512yes—
628C23#57612yes—
629C23#57712yes—
630D4—42no—
631D4—42no—
632D4—42no—
633D4—42no—
634D4—42no—
635D4—42no—
636D4—42no—
637D4—42no—
638D4—81no—
639D4—81no—
640D4—81no—
641D4—81no—
642D4—81no—
643D4—81no—
644D4—81no—
645D4—81no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—24no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—22no—
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—44no—
669C2×C4—44no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—44no—
673C2×C4—42no—
674C2×C4—44no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—82no—
678C2×C4—82no—
679C2×C4—81no—
680C2×C4—81no—
681C2×C4—81no—
682C2×C4—81no—
683C2×C4—81no—
684C2×C4—81no—
685C2×C4—81no—
686C2×C4—81no—
687C2×C4—82no—
688C2×C4—82no—
689C2×C4—82no—
690C2×C4—82no—
691C2×C4—81no—
692C2×C4—81no—
693C2×C4—81no—
694C2×C4—81no—
695C2×C4—82no—
696C2×C4—82no—
697C2×C4—81no—
698C2×C4—81no—
699C2×C4#49614yes—
700C2×C4C2×#11711yescharacteristic
701C2×C4C2×C4×D411yescharacteristic
702C2×C4C2×C4×D411yescharacteristic
703C2×C4C2×C4×D411yescharacteristic
704C2×C4#52011yescharacteristic
705C2×C4#52011yescharacteristic
706C2×C4C2×#12111yescharacteristic
707C2×C4C2×#12311yescharacteristic
708C2×C4C2×#12411yescharacteristic
709C2×C4C2×#12611yescharacteristic
710C2×C4#53211yescharacteristic
711C2×C4#53211yescharacteristic
712C2×C4#53511yescharacteristic
713C2×C4#53611yescharacteristic
714C2×C4#54211yescharacteristic
715C2×C4#54211yescharacteristic
716C2×C4D4211yescharacteristic
717C2×C4#54711yescharacteristic
718C2×C4#54711yescharacteristic
719C2×C4#54811yescharacteristic
720C2×C4#54811yescharacteristic
721C2×C4#55011yescharacteristic
722C2×C4#55311yescharacteristic
723C2×C4#55311yescharacteristic
724C2×C4#55511yescharacteristic
725C2×C4#55511yescharacteristic
726C2×C4#55611yescharacteristic
727C2×C4#55611yescharacteristic
728C8—24no—
729C8—42no—
730C8—42no—
731C8#38818yescomplemented
732C22—84no—
733C22—84no—
734C22—82no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22—82no—
739C22—82no—
740C22—84no—
741C22—84no—
742C22—161no—
743C22—161no—
744C22—161no—
745C22—161no—
746C22—161no—
747C22—161no—
748C22—161no—
749C22—161no—
750C22—162no—
751C22—162no—
752C22—162no—
753C22—162no—
754C22C4×#12711yescharacteristic
755C22#235411yescharacteristic
756C22#236111yescharacteristic
757C22#249111yescharacteristic
758C22#250111yescharacteristic
759C22#251211yescharacteristic
760C22#254111yescharacteristic
761C22C4×AGL(1,ℤ/8)12yes—
762C22#294612yes—
763C22C2×#49611yescharacteristic
764C22#315011yescharacteristic
765C22#315411yescharacteristic
766C22#315511yescharacteristic
767C22#317112yes—
768C22#317912yes—
769C22#327412yes—
770C22#327512yes—
771C22#334512yes—
772C22#334512yes—
773C22#334712yes—
774C22#334712yes—
775C22#339912yes—
776C22#340112yes—
777C4—24no—
778C4—42no—
779C4—44no—
780C4—82no—
781C4—82no—
782C4—82no—
783C4—82no—
784C4—82no—
785C4—161no—
786C4—161no—
787C4C2×#38811yescharacteristic
788C4#232611yescharacteristic
789C4#235411yescharacteristic
790C4#236111yescharacteristic
791C4#249111yescharacteristic
792C4#250011yescharacteristic
793C4#251211yescharacteristic
794C4#254511yescharacteristic
795C2—162no—
796C2—162no—
797C2#1400111yescharacteristic
798C2C4×#49611yescharacteristic
799C2#2170411yescharacteristic
800C2#2281712yes—
801C2#2303912yes—
802C2#2779412yes—
803C2#2793411yescharacteristic
804C2#2793511yescharacteristic
805C2#2801712yes—
806C2#2846811yescharacteristic
807C2#2847011yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
prime radicalC23×D8C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C4×#95 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
4. C2×#1926C2semidirect
5. C2×#1925C2semidirect
6. C2×#1847C2semidirect
7. C2×C4×#106C2semidirect
8. #14002C2semidirect
9. #14001C2semidirect
10. #11123C2semidirect
11. #11121C2semidirect
12. #11051C2semidirect
13. #11049C2semidirect
14. #10863C2semidirect
15. #10696C2semidirect
43. #1972C4semidirect
731. C8#388semidirect

Maximal subgroups

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

subgroupindex
C2×#19722
C2×#19702
C2×#19262
C2×#19252
C2×#18472
C2×C4×#1062
#140022
#140012
#111232
#111212
#110512
#110492
#108632
#106962