Finite Group Databasebeta

← #770066

Subgroups — #770066

Order 512.

3494 conjugacy classes of subgroups.

The subgroup lattice has 803 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2538C211yesmaximal, characteristic, complemented
2C2×#2538C211yesmaximal, characteristic, complemented
3C2×#2581C211yesmaximal, characteristic, complemented
4C2×#2535C211yesmaximal, characteristic
5C2×#2398C211yesmaximal, characteristic, complemented
6C2×#2326C211yesmaximal, characteristic, complemented
7#15808C214yesmaximal, complemented
8#15776C214yesmaximal, complemented
9#15526C214yesmaximal, complemented
10#15325C214yesmaximal, complemented
11#15215C212yesmaximal, complemented
12#15135C212yesmaximal, complemented
13#13998C212yesmaximal, complemented
14#13997C212yesmaximal, complemented
15#13779C211yesmaximal, characteristic, complemented
16C22×#124C2211yescharacteristic
17C22×C22⋊Q8C2212yes—
18C22×C22⋊Q8C2212yes—
19C22×#121C2212yes—
20C22×C4×Q8C2211yescharacteristic
21C22×C4×Q8C2211yescharacteristic
22C22×C4×D4C2211yescharacteristic
23C22×C4×D4C2211yescharacteristic
24#2581—28no—
25#2538—28no—
26#2538—28no—
27#2535—28no—
28#2398—28no—
29C2×#400C2212yes—
30C2×#400C2212yes—
31C2×#399C2214yes—
32C2×#397C2212yes—
33C2×#397C2212yes—
34C2×#396C2214yes—
35C2×#396C2214yes—
36C2×#395C2212yes—
37C2×#394C2212yes—
38C2×#393C2212yes—
39C2×#392C2212yes—
40#2326—28no—
41C2×#391C2211yescharacteristic
42C2×#391C2212yes—
43C2×#390C2211yescharacteristic
44C2×#390C2212yes—
45C2×#390C2212yes—
46C2×#390C2214yes—
47C2×#389C2212yes—
48C2×#389C2212yes—
49C2×#389C2212yes—
50C2×#388C2214yes—
51C2×#387C2214yes—
52C2×#386C2214yes—
53C2×#385C2214yes—
54C2×#384C2211yescharacteristic
55C2×#384C2211yescharacteristic
56C2×#382C2211yescharacteristic
57C2×#380C2212yes—
58C2×#380C2212yes—
59C2×#380C2212yes—
60C2×C4×C4⋊C4C2212yes—
61C2×C4×C22⋊C4C2212yes—
62C2×C4×C22⋊C4C2212yes—
63C2×#376C2211yescharacteristic
64#1445C2214yes—
65#1445C2214yes—
66#1444C2214yes—
67#1439C2214yes—
68#1439C2214yes—
69#1439C2214yes—
70#1439C2214yes—
71#1439C2214yes—
72#1438C2214yes—
73#1438C2214yes—
74#1438C2214yes—
75#1437C2214yes—
76#1437C2214yes—
77#1436C2214yes—
78#1436C2214yes—
79C4⋊#95C2212yes—
80C4⋊#95C2214yes—
81C23×Q8C2311yescharacteristic
82C23×Q8C2311yescharacteristic
83C23×D4C2311yescharacteristic
84C23×D4C2311yescharacteristic
85C23×D4C2314yes—
86C24×C4C2312yes—
87C24×C4C2312yes—
88C2×#124—24no—
89C2×#124—24no—
90C2×#124—24no—
91C2×C22⋊Q8—28no—
92C2×C22⋊Q8—28no—
93C2×C22⋊Q8—28no—
94C2×C22⋊Q8—48no—
95C2×C22⋊Q8—44no—
96C2×#121—28no—
97C2×#121—28no—
98C2×#121—44no—
99C2×C4×Q8—24no—
100C2×C4×Q8—24no—
101C2×C4×Q8—24no—
102C2×C4×Q8—24no—
103C2×C4×Q8—24no—
104C2×C4×Q8—24no—
105C2×C4×D4—24no—
106C2×C4×D4—24no—
107C2×C4×D4—24no—
108C2×C4×D4—24no—
109C2×C4×D4—24no—
110C2×C4×D4—24no—
111C22×C4⋊C4C2312yes—
112C22×C4⋊C4C2312yes—
113C22×C4⋊C4C2311yescharacteristic
114C22×C4⋊C4C2311yescharacteristic
115C22×C4⋊C4C2311yescharacteristic
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2314yes—
118C22×C4⋊C4C2314yes—
119C22×C4⋊C4C2314yes—
120C22×C4⋊C4C2312yes—
121C22×C4⋊C4C2312yes—
122C22×C4⋊C4C2314yes—
123C22×C4⋊C4C2312yes—
124C22×C4⋊C4C2312yes—
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2314yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2314yes—
133C22×C22⋊C4C2314yes—
134C22×C22⋊C4C2314yes—
135C22×C22⋊C4C2314yes—
136C22×C22⋊C4C2314yes—
137C22×C22⋊C4C2314yes—
138C22×C22⋊C4C2314yes—
139C22×C42C2312yes—
140C22×C42C2312yes—
141C22×C42C2311yescharacteristic
142C22×C42C2311yescharacteristic
143C22×C42C2314yes—
144C22×C42C2311yescharacteristic
145#400—28no—
146#400—28no—
147#399—48no—
148#397—28no—
149#397—28no—
150#396—216no—
151#396—216no—
152#395—28no—
153#394—28no—
154#393—28no—
155#392—28no—
156#391—28no—
157#391—24no—
158#390—28no—
159#390—28no—
160#390—24no—
161#390—48no—
162#389—28no—
163#389—28no—
164#389—28no—
165#388—216no—
166#387—216no—
167#386—216no—
168#385—216no—
169#384—24no—
170#384D418yescomplemented
171#382D418yes—
172#380—28no—
173#380—28no—
174#380—28no—
175C4×C4⋊C4—44no—
176C4×C22⋊C4—28no—
177C4×C22⋊C4—28no—
178#376D418yescomplemented
179C2×#95C2312yes—
180C2×#95C2312yes—
181C2×#95C2314yes—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2312yes—
185C2×#95C2312yes—
186C2×#95C2314yes—
187C2×#95C2314yes—
188C2×#95C2314yes—
189C2×#95C2314yes—
190C2×#95C2314yes—
191C2×#95C2314yes—
192C2×#95C2314yes—
193C2×#95C2312yes—
194C2×#95C2312yes—
195C2×#95C2312yes—
196C2×#95C2312yes—
197C25C2412yes—
198C25C2412yes—
199C22×Q8—22no—
200C22×Q8—22no—
201C22×Q8—22no—
202C22×Q8—22no—
203C22×Q8—22no—
204C22×Q8—22no—
205C22×Q8—22no—
206C22×Q8—24no—
207C22×Q8—22no—
208C22×Q8—22no—
209C22×Q8—42no—
210C22×Q8#4114yes—
211C22×D4—24no—
212C22×D4—28no—
213C22×D4—28no—
214C22×D4—22no—
215C22×D4—22no—
216C22×D4—22no—
217C22×D4—22no—
218C22×D4—22no—
219C22×D4—22no—
220C22×D4—28no—
221C22×D4—22no—
222C22×D4—22no—
223C22×D4—22no—
224C22×D4—42no—
225C22×D4—44no—
226C22×D4—44no—
227C22×D4—44no—
228C22×D4—44no—
229C22×D4#4114yes—
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—44no—
241C23×C4—44no—
242C23×C4C2412yes—
243C23×C4C2412yes—
244C23×C4C2412yes—
245C23×C4C2412yes—
246C23×C4C2414yes—
247C23×C4C2412yes—
248C23×C4C2412yes—
249C23×C4C2414yes—
250C23×C4C2412yes—
251C23×C4C2412yes—
252C23×C4C2411yescharacteristic
253C23×C4C2411yescharacteristic
254C23×C4C2411yescharacteristic
255#124—232no—
256C22⋊Q8—432no—
257C22⋊Q8—432no—
258#121—432no—
259C4×Q8—416no—
260C4×Q8—416no—
261C4×D4—416no—
262C4×D4—416no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—24no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—24no—
267C2×C4⋊C4—22no—
268C2×C4⋊C4—22no—
269C2×C4⋊C4—22no—
270C2×C4⋊C4—22no—
271C2×C4⋊C4—22no—
272C2×C4⋊C4—22no—
273C2×C4⋊C4—22no—
274C2×C4⋊C4—22no—
275C2×C4⋊C4—22no—
276C2×C4⋊C4—24no—
277C2×C4⋊C4—24no—
278C2×C4⋊C4—22no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—24no—
282C2×C4⋊C4—24no—
283C2×C4⋊C4—22no—
284C2×C4⋊C4—22no—
285C2×C4⋊C4—28no—
286C2×C4⋊C4—28no—
287C2×C4⋊C4—28no—
288C2×C4⋊C4—28no—
289C2×C4⋊C4—28no—
290C2×C4⋊C4—28no—
291C2×C4⋊C4—28no—
292C2×C4⋊C4—44no—
293C2×C4⋊C4—44no—
294C2×C4⋊C4—44no—
295C2×C4⋊C4—44no—
296C2×C4⋊C4—44no—
297C2×C4⋊C4—44no—
298C2×C4⋊C4—44no—
299C2×C4⋊C4C2×D418yes—
300C2×C4⋊C4C2×D418yes—
301C2×C4⋊C4C2×D418yes—
302C2×C4⋊C4C2×D418yes—
303C2×C22⋊C4—28no—
304C2×C22⋊C4—28no—
305C2×C22⋊C4—28no—
306C2×C22⋊C4—28no—
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—24no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—28no—
316C2×C22⋊C4—28no—
317C2×C22⋊C4—28no—
318C2×C22⋊C4—24no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—28no—
323C2×C22⋊C4—28no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—28no—
327C2×C22⋊C4—28no—
328C2×C22⋊C4—28no—
329C2×C22⋊C4—28no—
330C2×C22⋊C4—42no—
331C2×C22⋊C4—42no—
332C2×C22⋊C4—42no—
333C2×C22⋊C4—42no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—44no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4—44no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4—44no—
344C2×C22⋊C4—44no—
345C2×C42—22no—
346C2×C42—22no—
347C2×C42—22no—
348C2×C42—22no—
349C2×C42—24no—
350C2×C42—24no—
351C2×C42—24no—
352C2×C42—24no—
353C2×C42—24no—
354C2×C42—24no—
355C2×C42—44no—
356C2×C42—44no—
357C2×C42—44no—
358C2×C42C2×D414yes—
359C2×C42C2×D414yes—
360C2×C42C2×D414yes—
361C2×C42C2×D414yes—
362C2×C42C2×D414yes—
363#95—24no—
364#95—24no—
365#95—24no—
366#95—24no—
367#95—28no—
368#95—28no—
369#95—28no—
370#95—28no—
371#95—28no—
372#95—28no—
373#95—28no—
374#95—44no—
375#95—44no—
376#95—44no—
377#95C2×D418yes—
378#95C2×D418yes—
379#95C2×D418yes—
380#95C2×D418yes—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—22no—
389C24—22no—
390C24—22no—
391C24—24no—
392C24—22no—
393C24—22no—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—22no—
398C24—24no—
399C24—22no—
400C24—22no—
401C24—24no—
402C24—24no—
403C24—22no—
404C24—22no—
405C24C2×#4114yes—
406C242−1+414yes—
407C24C2511yescharacteristic
408C2×Q8—28no—
409C2×Q8—28no—
410C2×Q8—28no—
411C2×Q8—28no—
412C2×Q8—48no—
413C2×Q8—48no—
414C2×Q8—44no—
415C2×Q8—44no—
416C2×Q8—44no—
417C2×Q8—44no—
418C2×Q8—44no—
419C2×Q8—44no—
420C2×D4—28no—
421C2×D4—28no—
422C2×D4—28no—
423C2×D4—28no—
424C2×D4—48no—
425C2×D4—48no—
426C2×D4—44no—
427C2×D4—416no—
428C2×D4—416no—
429C2×D4—416no—
430C2×D4—44no—
431C2×D4—44no—
432C2×D4—44no—
433C2×D4—44no—
434C2×D4—44no—
435C2×D4—88no—
436C2×D4—88no—
437C2×D4—88no—
438C2×D4—88no—
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—24no—
453C22×C4—24no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—24no—
457C22×C4—24no—
458C22×C4—24no—
459C22×C4—24no—
460C22×C4—22no—
461C22×C4—24no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—24no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—22no—
473C22×C4—24no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—22no—
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—22no—
492C22×C4—22no—
493C22×C4—24no—
494C22×C4—22no—
495C22×C4—24no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4—48no—
506C22×C4—48no—
507C22×C4—48no—
508C22×C4—48no—
509C22×C4—48no—
510C22×C4—48no—
511C22×C4—48no—
512C22×C4—48no—
513C22×C4—88no—
514C22×C4—88no—
515C22×C4C22×D414yes—
516C22×C4C22×D418yes—
517C22×C4C22×D414yes—
518C22×C4C22×D418yes—
519C22×C4C22×D412yes—
520C22×C4C22×D412yes—
521C22×C4C22×D412yes—
522C22×C4C22×D412yes—
523C22×C4C22×D412yes—
524C22×C4C22×D412yes—
525C22×C4C22×D412yes—
526C22×C4C22×D412yes—
527C22×C4C22×D412yes—
528C22×C4C2×#4114yes—
529C22×C4C2×#4112yes—
530C22×C4C2×#4112yes—
531C22×C4H(5,𝔽2)14yes—
532C22×C4H(5,𝔽2)12yes—
533C22×C42−1+412yes—
534C4⋊C4—216no—
535C4⋊C4—216no—
536C4⋊C4—48no—
537C4⋊C4—48no—
538C4⋊C4—416no—
539C4⋊C4—416no—
540C4⋊C4—416no—
541C4⋊C4—44no—
542C4⋊C4—44no—
543C4⋊C4—48no—
544C4⋊C4—48no—
545C4⋊C4—44no—
546C4⋊C4—44no—
547C4⋊C4—88no—
548C22⋊C4—232no—
549C22⋊C4—48no—
550C22⋊C4—48no—
551C22⋊C4—416no—
552C22⋊C4—416no—
553C22⋊C4—48no—
554C22⋊C4—48no—
555C22⋊C4—416no—
556C22⋊C4—48no—
557C22⋊C4—48no—
558C22⋊C4—88no—
559C22⋊C4—88no—
560C22⋊C4—88no—
561C22⋊C4—88no—
562C42—28no—
563C42—28no—
564C42—48no—
565C42—48no—
566C42—88no—
567C42#127116yes—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—28no—
577C23—28no—
578C23—24no—
579C23—24no—
580C23—42no—
581C23—42no—
582C23—42no—
583C23—42no—
584C23—42no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—44no—
602C23—44no—
603C23—42no—
604C23—44no—
605C23—42no—
606C23—42no—
607C23—44no—
608C23—44no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—44no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—44no—
618C23—42no—
619C23—44no—
620C23—42no—
621C23—44no—
622C23—42no—
623C23—42no—
624C23—44no—
625C23—42no—
626C23C23×D411yescharacteristic
627C23C23×D411yescharacteristic
628C23C23×D411yescharacteristic
629C23C22×#4111yescharacteristic
630C23C22×#4111yescharacteristic
631C23C2×H(5,𝔽2)11yescharacteristic
632C23C2×H(5,𝔽2)12yes—
633C23C2×2−1+411yescharacteristic
634C23C2×2−1+412yes—
635C23#58512yes—
636C23#58512yes—
637Q8—416no—
638Q8—416no—
639D4—416no—
640D4—416no—
641D4—832no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—28no—
655C2×C4—28no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—28no—
659C2×C4—28no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—28no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—28no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—44no—
678C2×C4—44no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—44no—
682C2×C4—42no—
683C2×C4—44no—
684C2×C4—42no—
685C2×C4—44no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—44no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—816no—
717C2×C4—816no—
718C2×C4#52514yes—
719C2×C4C2×#12714yes—
720C2×C4C2×#12714yes—
721C2×C4C2×#12714yes—
722C2×C4#53714yes—
723C2×C4#54614yes—
724C2×C4#54614yes—
725C2×C4#54814yes—
726C2×C4#54814yes—
727C22—44no—
728C22—44no—
729C22—44no—
730C22—44no—
731C22—48no—
732C22—44no—
733C22—44no—
734C22—44no—
735C22—44no—
736C22—48no—
737C22—44no—
738C22—44no—
739C22—82no—
740C22—84no—
741C22—82no—
742C22—82no—
743C22—82no—
744C22—82no—
745C22—82no—
746C22—82no—
747C22—82no—
748C22—84no—
749C22—82no—
750C22—82no—
751C22—82no—
752C22—82no—
753C22C2×#52511yescharacteristic
754C22C22×#12711yescharacteristic
755C22C2×#53711yescharacteristic
756C22C2×#54611yescharacteristic
757C22C2×#54611yescharacteristic
758C22C2×#54811yescharacteristic
759C22C2×#54811yescharacteristic
760C22#348411yescharacteristic
761C22#348511yescharacteristic
762C22#348611yescharacteristic
763C22#348711yescharacteristic
764C22#348812yes—
765C22#348812yes—
766C22#348912yes—
767C22#348912yes—
768C22#351612yes—
769C22#351712yes—
770C22#352012yes—
771C22#352112yes—
772C22#354612yes—
773C22#355212yes—
774C22#356112yes—
775C22#356512yes—
776C4—24no—
777C4—24no—
778C4—48no—
779C4—44no—
780C4—48no—
781C4—44no—
782C4—44no—
783C4—44no—
784C4—82no—
785C4—82no—
786C4—82no—
787C4—82no—
788C4#254018yes—
789C2—84no—
790C2—84no—
791C2C2×#254011yescharacteristic
792C2#3552112yes—
793C2#3556511yescharacteristic
794C2#3563411yescharacteristic
795C2#3727712yes—
796C2#4493511yescharacteristic
797C2#4508412yes—
798C2#4514211yescharacteristic
799C2#4526811yescharacteristic
800C2#4531312yes—
801C2#4533711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#2535C2
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×#2538C2semidirect
2. C2×#2538C2semidirect
3. C2×#2581C2semidirect
5. C2×#2398C2semidirect
6. C2×#2326C2semidirect
7. #15808C2semidirect
8. #15776C2semidirect
9. #15526C2semidirect
10. #15325C2semidirect
11. #15215C2semidirect
12. #15135C2semidirect
13. #13998C2semidirect
14. #13997C2semidirect
15. #13779C2semidirect
170. #384D4semidirect
178. #376D4semidirect

Maximal subgroups

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

subgroupindex
C2×#25382
C2×#25812
C2×#25352
C2×#23982
C2×#23262
#158082
#157762
#155262
#153252
#152152
#151352
#139982
#139972
#137792