Finite Group Databasebeta

← #696420

Subgroups — #696420

Order 512.

3434 conjugacy classes of subgroups.

The subgroup lattice has 815 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2502C211yesmaximal, characteristic, complemented
2C2×#2616C211yesmaximal, characteristic
3C2×#2362C211yesmaximal, characteristic, complemented
4C2×#2311C211yesmaximal, characteristic
5#16806C212yesmaximal, complemented
6#16800C212yesmaximal, complemented
7#15411C214yesmaximal, complemented
8#15301C214yesmaximal, complemented
9#15179C212yesmaximal, complemented
10#15163C212yesmaximal, complemented
11#15131C212yesmaximal, complemented
12#15097C212yesmaximal, complemented
13#13969C212yesmaximal, complemented
14#13951C211yesmaximal, characteristic, complemented
15#13904C211yesmaximal, characteristic, complemented
16#13876C212yesmaximal, complemented
17#13851C211yesmaximal, characteristic
18C23×#41C2211yescharacteristic
19C22×C22⋊Q8C2212yes—
20C22×C22⋊Q8C2211yescharacteristic
21C22×C4×Q8C2211yescharacteristic
22C22×#117C2211yescharacteristic
23C23×C4⋊C4C2211yescharacteristic
24#2616—28no—
25#2502—28no—
26C2×#398C2212yes—
27C2×#398C2212yes—
28C2×#396C2214yes—
29C2×#395C2212yes—
30C2×#394C2214yes—
31C2×#394C2212yes—
32#2362—28no—
33#2311—28no—
34C2×#391C2211yescharacteristic
35C2×#391C2212yes—
36C2×#391C2212yes—
37C2×#390C2212yes—
38C2×#389C2211yescharacteristic
39C2×#389C2212yes—
40C2×#388C2212yes—
41C2×#388C2212yes—
42C2×#388C2214yes—
43C2×#387C2212yes—
44C2×#386C2214yes—
45C2×#385C2214yes—
46C2×#384C2212yes—
47C2×#381C2212yes—
48C2×#381C2212yes—
49C2×#380C2212yes—
50C2×#380C2212yes—
51C2×#380C2211yescharacteristic
52C2×#380C2212yes—
53C2×C4×C4⋊C4C2211yescharacteristic
54C2×C4×C4⋊C4C2212yes—
55C2×C4×C22⋊C4C2212yes—
56C2×C4×C22⋊C4C2211yescharacteristic
57C2×C4×C22⋊C4C2211yescharacteristic
58C2×C4×C22⋊C4C2212yes—
59#1446C2211yescharacteristic
60#1446C2211yescharacteristic
61#1445C2212yes—
62#1445C2212yes—
63#1442C2214yes—
64#1442C2214yes—
65#1441C2214yes—
66#1441C2214yes—
67#1441C2214yes—
68#1441C2214yes—
69#1440C2214yes—
70#1439C2214yes—
71#1439C2214yes—
72#1439C2214yes—
73#1439C2214yes—
74#1439C2214yes—
75#1438C2212yes—
76#1438C2211yescharacteristic
77#1438C2211yescharacteristic
78#1438C2212yes—
79#1437C2214yes—
80#1436C2214yes—
81#1436C2214yes—
82C4⋊#95C2212yes—
83C4⋊#95C2212yes—
84C4⋊#95C2212yes—
85C4⋊#95C2212yes—
86#1434C2212yes—
87C22×#41—24no—
88C22×#41—24no—
89C22×#41—28no—
90C22×#41—24no—
91C22×#41—44no—
92C23×Q8C2311yescharacteristic
93C23×Q8C2311yescharacteristic
94C23×D4C2312yes—
95C23×D4C2311yescharacteristic
96C24×C4C2312yes—
97C24×C4C2311yescharacteristic
98C24×C4C2312yes—
99C2×C22⋊Q8—24no—
100C2×C22⋊Q8—24no—
101C2×C22⋊Q8—28no—
102C2×C22⋊Q8—28no—
103C2×C22⋊Q8—44no—
104C2×C22⋊Q8D418yes—
105C2×C4×Q8—24no—
106C2×C4×Q8—44no—
107C2×#117—44no—
108C2×#117D418yes—
109C22×C4⋊C4—24no—
110C22×C4⋊C4—24no—
111C22×C4⋊C4—24no—
112C22×C4⋊C4C2312yes—
113C22×C4⋊C4C2312yes—
114C22×C4⋊C4C2312yes—
115C22×C4⋊C4C2314yes—
116C22×C4⋊C4C2312yes—
117C22×C4⋊C4C2312yes—
118C22×C4⋊C4C2311yescharacteristic
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2311yescharacteristic
121C22×C4⋊C4C2314yes—
122C22×C4⋊C4C2314yes—
123C22×C4⋊C4C2314yes—
124C22×C4⋊C4C2312yes—
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2314yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2311yescharacteristic
131C22×C22⋊C4C2311yescharacteristic
132C22×C22⋊C4C2312yes—
133C22×C22⋊C4C2314yes—
134C22×C22⋊C4C2312yes—
135C22×C22⋊C4C2314yes—
136C22×C22⋊C4C2314yes—
137C22×C22⋊C4C2312yes—
138C22×C22⋊C4C2312yes—
139C22×C42C2311yescharacteristic
140C22×C42C2311yescharacteristic
141C22×C42C2312yes—
142C22×C42C2312yes—
143C22×C42C2312yes—
144C22×C42C2312yes—
145#398—28no—
146#398—28no—
147#396—48no—
148#395—28no—
149#394—28no—
150#394—216no—
151#391—28no—
152#391—24no—
153#391—28no—
154#390—28no—
155#389—24no—
156#389—44no—
157#388—28no—
158#388—28no—
159#388—48no—
160#387—28no—
161#386—216no—
162#385—216no—
163#384—28no—
164#381—44no—
165#381—44no—
166#380—24no—
167#380—28no—
168#380—28no—
169#380—28no—
170C4×C4⋊C4—24no—
171C4×C4⋊C4—28no—
172C4×C22⋊C4—24no—
173C4×C22⋊C4—24no—
174C4×C22⋊C4—28no—
175C4×C22⋊C4—44no—
176C2×#95C2312yes—
177C2×#95C2314yes—
178C2×#95C2314yes—
179C2×#95C2311yescharacteristic
180C2×#95C2311yescharacteristic
181C2×#95C2314yes—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2312yes—
186C2×#95C2314yes—
187C2×#95C2312yes—
188C2×#95C2311yescharacteristic
189C2×#95C2311yescharacteristic
190C2×#95C2312yes—
191C2×#95C2312yes—
192C2×#95C2312yes—
193C2×#95C2312yes—
194C2×#95C2314yes—
195C2×#95C2314yes—
196C2×#95C2314yes—
197C2×#95C2314yes—
198C2×#95C2314yes—
199C2×#95C2312yes—
200C2×#95C2312yes—
201C25C2412yes—
202C25C2411yescharacteristic
203C2×#41—232no—
204C2×#41—432no—
205C2×#41—432no—
206C2×#41—416no—
207C2×#41—416no—
208C22×Q8—22no—
209C22×Q8—22no—
210C22×Q8—22no—
211C22×Q8—22no—
212C22×Q8—24no—
213C22×Q8—24no—
214C22×Q8—22no—
215C22×Q8—24no—
216C22×Q8—42no—
217C22×Q8C2×D414yes—
218C22×D4—24no—
219C22×D4—24no—
220C22×D4—24no—
221C22×D4—24no—
222C22×D4—24no—
223C22×D4—22no—
224C22×D4—22no—
225C22×D4—24no—
226C22×D4—22no—
227C22×D4—42no—
228C22×D4—42no—
229C22×D4—42no—
230C23×C4—24no—
231C23×C4—24no—
232C23×C4—24no—
233C23×C4—24no—
234C23×C4—24no—
235C23×C4—24no—
236C23×C4—24no—
237C23×C4—24no—
238C23×C4—24no—
239C23×C4—24no—
240C23×C4—24no—
241C23×C4—42no—
242C23×C4—42no—
243C23×C4—42no—
244C23×C4—42no—
245C23×C4C2×D414yes—
246C23×C4C2×D414yes—
247C23×C4#4118yes—
248C23×C4#4114yes—
249C23×C4C2414yes—
250C23×C4C2411yescharacteristic
251C23×C4C2411yescharacteristic
252C23×C4C2414yes—
253C23×C4C2412yes—
254C23×C4C2412yes—
255C23×C4C2412yes—
256C23×C4C2412yes—
257C23×C4C2412yes—
258C23×C4C2411yescharacteristic
259C23×C4C2411yescharacteristic
260C23×C4C2412yes—
261C23×C4C2412yes—
262C23×C4C2411yescharacteristic
263C23×C4C2411yescharacteristic
264C22⋊Q8—232no—
265C22⋊Q8—432no—
266C4×Q8—416no—
267#117—416no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—22no—
270C2×C4⋊C4—22no—
271C2×C4⋊C4—24no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—24no—
277C2×C4⋊C4—24no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—28no—
281C2×C4⋊C4—24no—
282C2×C4⋊C4—24no—
283C2×C4⋊C4—24no—
284C2×C4⋊C4—28no—
285C2×C4⋊C4—24no—
286C2×C4⋊C4—24no—
287C2×C4⋊C4—24no—
288C2×C4⋊C4—28no—
289C2×C4⋊C4—28no—
290C2×C4⋊C4—28no—
291C2×C4⋊C4—42no—
292C2×C4⋊C4—44no—
293C2×C4⋊C4—44no—
294C2×C4⋊C4—416no—
295C2×C4⋊C4—44no—
296C2×C4⋊C4—44no—
297C2×C4⋊C4—44no—
298C2×C4⋊C4—44no—
299C2×C4⋊C4—44no—
300C2×C4⋊C4—44no—
301C2×C4⋊C4C2×D414yes—
302C2×C4⋊C4C2×D414yes—
303C2×C4⋊C4C2×D414yes—
304C2×C4⋊C4C2×D418yes—
305C2×C22⋊C4—24no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—24no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—24no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—22no—
314C2×C22⋊C4—22no—
315C2×C22⋊C4—28no—
316C2×C22⋊C4—24no—
317C2×C22⋊C4—28no—
318C2×C22⋊C4—22no—
319C2×C22⋊C4—22no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—24no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—28no—
326C2×C22⋊C4—28no—
327C2×C22⋊C4—28no—
328C2×C22⋊C4—41no—
329C2×C22⋊C4—41no—
330C2×C22⋊C4—42no—
331C2×C22⋊C4—42no—
332C2×C22⋊C4—44no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4—42no—
335C2×C22⋊C4—42no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—42no—
339C2×C22⋊C4—42no—
340C2×C22⋊C4—44no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4—44no—
344C2×C22⋊C4C2×D418yes—
345C2×C22⋊C4C2×D418yes—
346C2×C42—22no—
347C2×C42—24no—
348C2×C42—22no—
349C2×C42—24no—
350C2×C42—24no—
351C2×C42—24no—
352C2×C42—24no—
353C2×C42—24no—
354C2×C42—24no—
355C2×C42—24no—
356C2×C42—44no—
357C2×C42—44no—
358C2×C42—42no—
359C2×C42C2×D418yes—
360#95—22no—
361#95—22no—
362#95—22no—
363#95—22no—
364#95—24no—
365#95—24no—
366#95—28no—
367#95—28no—
368#95—28no—
369#95—24no—
370#95—28no—
371#95—28no—
372#95—24no—
373#95—24no—
374#95—24no—
375#95—24no—
376#95—28no—
377#95—28no—
378#95—28no—
379#95—42no—
380#95—42no—
381#95—44no—
382#95—44no—
383#95—44no—
384#95—44no—
385C24—22no—
386C24—21no—
387C24—21no—
388C24—22no—
389C24—22no—
390C24—22no—
391C24—21no—
392C24—21no—
393C24—22no—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—22no—
398C24—22no—
399C24—22no—
400C24—22no—
401C24—22no—
402C24—22no—
403C24—22no—
404C24—22no—
405C24—22no—
406C24—22no—
407C24C22×D412yes—
408C24C22×D412yes—
409C24C2×#4114yes—
410C24C2×#4112yes—
411C24C2511yescharacteristic
412#41—4128no—
413C2×Q8—28no—
414C2×Q8—28no—
415C2×Q8—216no—
416C2×Q8—48no—
417C2×Q8—48no—
418C2×Q8—44no—
419C2×Q8—44no—
420C2×Q8—44no—
421C2×Q8—44no—
422C2×Q8—48no—
423C2×D4—28no—
424C2×D4—216no—
425C2×D4—48no—
426C2×D4—48no—
427C2×D4—48no—
428C2×D4—48no—
429C2×D4—44no—
430C2×D4—48no—
431C2×D4—48no—
432C2×D4—48no—
433C2×D4—48no—
434C2×D4—44no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—28no—
438C22×C4—28no—
439C22×C4—216no—
440C22×C4—216no—
441C22×C4—22no—
442C22×C4—21no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—21no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—24no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—24no—
464C22×C4—22no—
465C22×C4—24no—
466C22×C4—24no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—24no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—21no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—21no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—216no—
486C22×C4—216no—
487C22×C4—216no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—22no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—24no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—48no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—48no—
516C22×C4—48no—
517C22×C4—48no—
518C22×C4—48no—
519C22×C4—84no—
520C22×C4—84no—
521C22×C4—84no—
522C22×C4—84no—
523C22×C4#121116yes—
524C22×C4C22×D414yes—
525C22×C4C22×D414yes—
526C22×C4C22×D414yes—
527C22×C4C22×D414yes—
528C22×C4C22×D412yes—
529C22×C4C22×D412yes—
530C22×C4C22×D412yes—
531C22×C4C22×D412yes—
532C22×C4C2×#4114yes—
533C22×C4C2×#4112yes—
534C22×C4C2×#4112yes—
535C22×C4C2×#4114yes—
536C22×C4H(5,𝔽2)12yes—
537C22×C4H(5,𝔽2)12yes—
538C22×C4H(5,𝔽2)14yes—
539C22×C42−1+414yes—
540C22×C42−1+414yes—
541C4⋊C4—28no—
542C4⋊C4—216no—
543C4⋊C4—28no—
544C4⋊C4—28no—
545C4⋊C4—48no—
546C4⋊C4—416no—
547C4⋊C4—48no—
548C4⋊C4—48no—
549C4⋊C4—48no—
550C4⋊C4—48no—
551C4⋊C4—88no—
552C4⋊C4—88no—
553C4⋊C4—88no—
554C22⋊C4—216no—
555C22⋊C4—216no—
556C22⋊C4—216no—
557C22⋊C4—48no—
558C22⋊C4—48no—
559C22⋊C4—44no—
560C22⋊C4—44no—
561C22⋊C4—48no—
562C22⋊C4—416no—
563C22⋊C4—48no—
564C22⋊C4—88no—
565C22⋊C4—88no—
566C22⋊C4—88no—
567C22⋊C4—84no—
568C42—48no—
569C42—48no—
570C42—48no—
571C42—44no—
572C42—44no—
573C42—48no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
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—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23C2×#12114yes—
632C23C23×D411yescharacteristic
633C23C23×D411yescharacteristic
634C23C22×#4111yescharacteristic
635C23C22×#4112yes—
636C23C2×H(5,𝔽2)12yes—
637C23C2×H(5,𝔽2)11yescharacteristic
638C23C2×H(5,𝔽2)11yescharacteristic
639C23C2×2−1+412yes—
640C23C2×2−1+412yes—
641C23#58511yescharacteristic
642C23#58511yescharacteristic
643Q8—416no—
644Q8—416no—
645D4—416no—
646D4—432no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—232no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—28no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—22no—
663C2×C4—24no—
664C2×C4—22no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—42no—
677C2×C4—41no—
678C2×C4—42no—
679C2×C4—41no—
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—44no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—44no—
703C2×C4—42no—
704C2×C4—44no—
705C2×C4—432no—
706C2×C4—44no—
707C2×C4—41no—
708C2×C4—41no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—41no—
714C2×C4—41no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—42no—
719C2×C4—44no—
720C2×C4—44no—
721C2×C4—41no—
722C2×C4—41no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—42no—
726C2×C4—44no—
727C2×C4—42no—
728C2×C4—44no—
729C2×C4—42no—
730C2×C4—816no—
731C2×C4C2×#12114yes—
732C2×C4C2×#12114yes—
733C2×C4#52514yes—
734C2×C4#53414yes—
735C2×C4#54618yes—
736C2×C4#55118yes—
737C22—24no—
738C22—24no—
739C22—24no—
740C22—44no—
741C22—44no—
742C22—42no—
743C22—44no—
744C22—44no—
745C22—42no—
746C22—42no—
747C22—42no—
748C22—44no—
749C22—44no—
750C22—44no—
751C22—44no—
752C22—44no—
753C22—44no—
754C22—44no—
755C22—82no—
756C22—82no—
757C22—82no—
758C22—82no—
759C22—82no—
760C22—82no—
761C22—82no—
762C22—82no—
763C22C22×#12111yescharacteristic
764C22C2×#52511yescharacteristic
765C22C2×#53411yescharacteristic
766C22#346011yescharacteristic
767C22#346011yescharacteristic
768C22C2×#54612yes—
769C22C2×#55112yes—
770C22#348612yes—
771C22#348811yescharacteristic
772C22#348811yescharacteristic
773C22#349212yes—
774C22#349512yes—
775C22#349811yescharacteristic
776C22#349911yescharacteristic
777C22#349911yescharacteristic
778C22#350011yescharacteristic
779C22#350712yes—
780C22#350912yes—
781C22#351112yes—
782C22#353612yes—
783C22#354112yes—
784C22#354712yes—
785C22#354812yes—
786C4—24no—
787C4—44no—
788C4—44no—
789C4—44no—
790C4—42no—
791C4—44no—
792C4—44no—
793C4—44no—
794C4—44no—
795C4—42no—
796C4—84no—
797C4—81no—
798C4—84no—
799C4—81no—
800C4#253418yes—
801C2—44no—
802C2—84no—
803C2C2×#253411yescharacteristic
804C2#3525611yescharacteristic
805C2#3566711yescharacteristic
806C2#3568611yescharacteristic
807C2#3608911yescharacteristic
808C2#3797112yes—
809C2#3956312yes—
810C2#4291611yescharacteristic
811C2#4298411yescharacteristic
812C2#4491512yes—
813C2#4511412yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC23×#41C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2502C2semidirect
3. C2×#2362C2semidirect
5. #16806C2semidirect
6. #16800C2semidirect
7. #15411C2semidirect
8. #15301C2semidirect
9. #15179C2semidirect
10. #15163C2semidirect
11. #15131C2semidirect
12. #15097C2semidirect
13. #13969C2semidirect
14. #13951C2semidirect
15. #13904C2semidirect
16. #13876C2semidirect

Maximal subgroups

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

subgroupindex
C2×#25022
C2×#26162
C2×#23622
C2×#23112
#168062
#168002
#154112
#153012
#151792
#151632
#151312
#150972
#139692
#139512
#139042
#138762
#138512