Finite Group Databasebeta

← #2618366

Subgroups — #2618366

Order 512.

1834 conjugacy classes of subgroups.

The subgroup lattice has 838 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#16770C212yesmaximal, complemented
2#16735C212yesmaximal, complemented
3#16708C212yesmaximal, complemented
4#16706C211yesmaximal, characteristic, complemented
5#16668C211yesmaximal, characteristic, complemented
6#16493C212yesmaximal, complemented
7#16459C212yesmaximal, complemented
8#16380C212yesmaximal
9#16098C212yesmaximal, complemented
10#16025C212yesmaximal, complemented
11#15994C212yesmaximal, complemented
12#15551C212yesmaximal, complemented
13#14964C212yesmaximal
14#14825C211yesmaximal, characteristic
15#14636C211yesmaximal, characteristic, complemented
16#14345C211yesmaximal, characteristic
17#14165C211yesmaximal, characteristic, complemented
18#13968C211yesmaximal, characteristic
19#13901C212yesmaximal, complemented
20C22×#123C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22C2×#400C2211yescharacteristic
23C2×#399C2211yescharacteristic
24C2×#397C2212yes—
25C2×#388C2212yes—
26C2×#387C2212yes—
27C2×#386C2211yescharacteristic
28C2×#383C2211yescharacteristic
29C2×#383C2212yes—
30C2×#382C2211yescharacteristic
31C2×#381C2211yescharacteristic
32C2×#380C2211yescharacteristic
33C2×C4×C22⋊C4C2212yes—
34C22×#95C2211yescharacteristic
35#1445C2212yes—
36#1445C2212yes—
37#1445C2212yes—
38#1444C2212yes—
39#1443C2212yes—
40#1443C2212yes—
41#1443C2212yes—
42#1443C2212yes—
43#1443C2212yes—
44#1443C2212yes—
45#1443C2212yes—
46#1443C2212yes—
47#1443C2212yes—
48#1443C2212yes—
49#1443C2212yes—
50#1442C2212yes—
51#1442C2212yes—
52#1442C2212yes—
53#1442C2212yes—
54#1442C2212yes—
55#1442C2212yes—
56#1442C2212yes—
57#1442C2212yes—
58#1441C2212yes—
59#1441C2212yes—
60#1441C2212yes—
61#1441C2212yes—
62#1441C2212yes—
63#1441C2212yes—
64#1441C2212yes—
65#1441C2212yes—
66#1441C2212yes—
67#1441C2211yescharacteristic
68#1440C2212yes—
69#1440C2212yes—
70#1440C2212yes—
71#1440C2212yes—
72#1439C2211yescharacteristic
73#1439C2211yescharacteristic
74#1439C2211yescharacteristic
75#1439C2211yescharacteristic
76#1439C2212yes—
77#1439C2212yes—
78#1439C2212yes—
79#1439C2211yescharacteristic
80#1439C2212yes—
81#1439C2212yes—
82#1439C2212yes—
83#1439C2212yes—
84#1438C2212yes—
85#1438C2212yes—
86#1437C2212yes—
87#1436C2212yes—
88#1436C2212yes—
89#1436C2212yes—
90#1436C2212yes—
91#1436C2212yes—
92#1436C2212yes—
93#1436C2212yes—
94#1434C2212yes—
95#1434C2212yes—
96#1434C2212yes—
97C22⋊#95C2212yes—
98C22⋊#95C2212yes—
99C22⋊#95C2212yes—
100C22⋊#95C2211yescharacteristic
101C22⋊#95C2212yes—
102C22⋊#95C2212yes—
103C22⋊#95C2211yescharacteristic
104C22⋊#95C2212yes—
105C22⋊#95C2212yes—
106C22⋊#95C2211yescharacteristic
107C23×D4C2311yescharacteristic
108C24×C4C2311yescharacteristic
109C24×C4C2311yescharacteristic
110C24×C4C2311yescharacteristic
111C24×C4C2311yescharacteristic
112C2×#123—24no—
113C2×#123—42no—
114C2×#123—42no—
115C2×C4×D4—24no—
116C2×C4×D4—42no—
117C2×C4×D4—42no—
118C22×C4⋊C4C2311yescharacteristic
119C22×C4⋊C4C2312yes—
120C22×C4⋊C4C2311yescharacteristic
121C22×C4⋊C4C2312yes—
122C22×C4⋊C4C2312yes—
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2312yes—
127C22×C4⋊C4C2312yes—
128C22×C4⋊C4C2312yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2312yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2311yescharacteristic
135C22×C22⋊C4C2311yescharacteristic
136C22×C22⋊C4C2312yes—
137C22×C22⋊C4C2312yes—
138C22×C22⋊C4C2312yes—
139C22×C22⋊C4C2311yescharacteristic
140C22×C22⋊C4C2312yes—
141C22×C22⋊C4C2312yes—
142C22×C22⋊C4C2311yescharacteristic
143C22×C42C2311yescharacteristic
144C22×C42C2312yes—
145C22×C42C2312yes—
146#400—42no—
147#399—24no—
148#397—44no—
149#388—44no—
150#387—44no—
151#386—42no—
152#383—44no—
153#383—42no—
154#382—42no—
155#381—24no—
156#380—42no—
157C4×C22⋊C4—28no—
158C2×#95—42no—
159C2×#95C2311yescharacteristic
160C2×#95C2312yes—
161C2×#95C2312yes—
162C2×#95C2312yes—
163C2×#95C2312yes—
164C2×#95C2312yes—
165C2×#95C2312yes—
166C2×#95C2312yes—
167C2×#95C2312yes—
168C2×#95C2312yes—
169C2×#95C2312yes—
170C2×#95C2312yes—
171C2×#95C2312yes—
172C2×#95C2312yes—
173C2×#95C2311yescharacteristic
174C2×#95C2312yes—
175C2×#95C2312yes—
176C2×#95C2312yes—
177C2×#95C2312yes—
178C2×#95C2312yes—
179C2×#95C2312yes—
180C2×#95C2312yes—
181C2×#95C2312yes—
182C2×#95C2312yes—
183C2×#95C2312yes—
184C2×#95C2312yes—
185C2×#95C2312yes—
186C2×#95C2312yes—
187C2×#95C2312yes—
188C2×#95C2312yes—
189C2×#95C2312yes—
190C2×#95C2312yes—
191C2×#95C2312yes—
192C2×#95C2312yes—
193C2×#95C2312yes—
194C2×#95C2312yes—
195C2×#95C2312yes—
196C2×#95C2312yes—
197C2×#95C2312yes—
198C2×#95C2311yescharacteristic
199C2×#95C2312yes—
200C2×#95C2312yes—
201C2×#95C2312yes—
202C2×#95C2312yes—
203C2×#95C2312yes—
204C2×#95C2312yes—
205C2×#95C2312yes—
206C2×#95C2312yes—
207C2×#95C2312yes—
208C2×#95C2311yescharacteristic
209C2×#95C2312yes—
210C2×#95C2312yes—
211C2×#95C2312yes—
212C2×#95C2312yes—
213C25C2411yescharacteristic
214C25C2411yescharacteristic
215C22×D4—22no—
216C22×D4—22no—
217C22×D4—22no—
218C22×D4—22no—
219C22×D4—22no—
220C22×D4—41no—
221C22×D4—41no—
222C23×C4—22no—
223C23×C4—22no—
224C23×C4—22no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—22no—
228C23×C4—22no—
229C23×C4—41no—
230C23×C4—41no—
231C23×C4—41no—
232C23×C4—41no—
233C23×C4—42no—
234C23×C4—41no—
235C23×C4—42no—
236C23×C4—42no—
237C23×C4—41no—
238C23×C4—41no—
239C23×C4—42no—
240C23×C4—42no—
241C23×C4—42no—
242C23×C4—41no—
243C23×C4#4114yes—
244C23×C4C2412yes—
245C23×C4C2412yes—
246C23×C4C2412yes—
247C23×C4C2412yes—
248C23×C4C2412yes—
249C23×C4C2412yes—
250C23×C4C2412yes—
251C23×C4C2412yes—
252C23×C4C2412yes—
253C23×C4C2412yes—
254C23×C4C2411yescharacteristic
255C23×C4C2412yes—
256C23×C4C2411yescharacteristic
257C23×C4C2411yescharacteristic
258C23×C4C2412yes—
259C23×C4C2411yescharacteristic
260C23×C4C2411yescharacteristic
261#123—416no—
262C4×D4—416no—
263C2×C4⋊C4—22no—
264C2×C4⋊C4—24no—
265C2×C4⋊C4—22no—
266C2×C4⋊C4—24no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—22no—
269C2×C4⋊C4—42no—
270C2×C4⋊C4—42no—
271C2×C4⋊C4—41no—
272C2×C4⋊C4—42no—
273C2×C4⋊C4—42no—
274C2×C4⋊C4—42no—
275C2×C4⋊C4—42no—
276C2×C4⋊C4—42no—
277C2×C4⋊C4—42no—
278C2×C4⋊C4—42no—
279C2×C4⋊C4—42no—
280C2×C4⋊C4—42no—
281C2×C4⋊C4—42no—
282C2×C4⋊C4—42no—
283C2×C4⋊C4—42no—
284C2×C4⋊C4—42no—
285C2×C4⋊C4—42no—
286C2×C4⋊C4—41no—
287C2×C4⋊C4—41no—
288C2×C4⋊C4—41no—
289C2×C4⋊C4—41no—
290C2×C4⋊C4—42no—
291C2×C4⋊C4—42no—
292C2×C4⋊C4—41no—
293C2×C22⋊C4—22no—
294C2×C22⋊C4—24no—
295C2×C22⋊C4—24no—
296C2×C22⋊C4—24no—
297C2×C22⋊C4—24no—
298C2×C22⋊C4—22no—
299C2×C22⋊C4—24no—
300C2×C22⋊C4—22no—
301C2×C22⋊C4—24no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—24no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—42no—
306C2×C22⋊C4—42no—
307C2×C22⋊C4—42no—
308C2×C22⋊C4—42no—
309C2×C22⋊C4—42no—
310C2×C22⋊C4—42no—
311C2×C22⋊C4—41no—
312C2×C22⋊C4—41no—
313C2×C22⋊C4—41no—
314C2×C22⋊C4—41no—
315C2×C22⋊C4—42no—
316C2×C22⋊C4—41no—
317C2×C22⋊C4—41no—
318C2×C22⋊C4—42no—
319C2×C22⋊C4—42no—
320C2×C22⋊C4—42no—
321C2×C22⋊C4—41no—
322C2×C22⋊C4—42no—
323C2×C22⋊C4—42no—
324C2×C22⋊C4—42no—
325C2×C22⋊C4—42no—
326C2×C22⋊C4—42no—
327C2×C22⋊C4—42no—
328C2×C22⋊C4—42no—
329C2×C22⋊C4—42no—
330C2×C22⋊C4—42no—
331C2×C22⋊C4—42no—
332C2×C22⋊C4—42no—
333C2×C22⋊C4—41no—
334C2×C22⋊C4#4114yes—
335C2×C42—22no—
336C2×C42—22no—
337C2×C42—22no—
338C2×C42—24no—
339C2×C42—24no—
340C2×C42—42no—
341C2×C42—42no—
342C2×C42—42no—
343C2×C42—42no—
344#95—24no—
345#95—24no—
346#95—24no—
347#95—24no—
348#95—22no—
349#95—24no—
350#95—24no—
351#95—24no—
352#95—24no—
353#95—24no—
354#95—42no—
355#95—42no—
356#95—42no—
357#95—42no—
358#95—42no—
359#95—42no—
360#95—42no—
361#95—42no—
362#95—42no—
363#95—42no—
364#95—42no—
365#95—42no—
366#95—42no—
367#95—42no—
368#95—42no—
369#95—42no—
370#95—42no—
371#95—42no—
372#95—42no—
373#95—42no—
374#95—42no—
375#95—42no—
376#95—42no—
377#95—42no—
378#95—42no—
379#95—42no—
380#95—42no—
381#95—42no—
382#95—42no—
383#95—41no—
384#95—41no—
385#95—42no—
386#95—42no—
387#95—42no—
388#95—42no—
389#95—42no—
390#95—42no—
391#95—42no—
392#95—42no—
393#95—42no—
394#95—42no—
395#95—42no—
396#95—41no—
397#95—42no—
398C24—21no—
399C24—21no—
400C24—21no—
401C24—22no—
402C24—22no—
403C24—22no—
404C24—22no—
405C24—21no—
406C24—21no—
407C24—21no—
408C24—21no—
409C24—21no—
410C24—21no—
411C24—22no—
412C24—22no—
413C24—22no—
414C24—22no—
415C24—21no—
416C24C2×#4112yes—
417C24C2×#4112yes—
418C24H(5,𝔽2)12yes—
419C242−1+412yes—
420C24C2511yescharacteristic
421C2×D4—28no—
422C2×D4—44no—
423C2×D4—44no—
424C2×D4—44no—
425C2×D4—44no—
426C2×D4—44no—
427C2×D4—44no—
428C22×C4—22no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—22no—
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—22no—
443C22×C4—21no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—21no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—28no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—21no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
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—21no—
477C22×C4—21no—
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—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—44no—
536C22×C4—44no—
537C22×C4—44no—
538C22×C4—44no—
539C22×C4—44no—
540C22×C4—44no—
541C22×C4—44no—
542C22×C4—84no—
543C22×C4—82no—
544C22×C4—82no—
545C22×C4—82no—
546C22×C4—82no—
547C22×C4—84no—
548C22×C4—82no—
549C22×C4—82no—
550C22×C4—82no—
551C22×C4—84no—
552C22×C4—84no—
553C22×C4—84no—
554C22×C4—82no—
555C22×C4—84no—
556C22×C4C2×#4112yes—
557C22×C4C2×#4114yes—
558C22×C4C2×#4112yes—
559C22×C4H(5,𝔽2)12yes—
560C22×C4H(5,𝔽2)12yes—
561C4⋊C4—44no—
562C4⋊C4—48no—
563C4⋊C4—48no—
564C4⋊C4—82no—
565C4⋊C4—84no—
566C4⋊C4—82no—
567C4⋊C4—82no—
568C4⋊C4—82no—
569C4⋊C4—84no—
570C4⋊C4—84no—
571C4⋊C4—84no—
572C22⋊C4—44no—
573C22⋊C4—48no—
574C22⋊C4—44no—
575C22⋊C4—48no—
576C22⋊C4—48no—
577C22⋊C4—48no—
578C22⋊C4—44no—
579C22⋊C4—82no—
580C22⋊C4—84no—
581C22⋊C4—84no—
582C22⋊C4—84no—
583C22⋊C4—84no—
584C22⋊C4—84no—
585C22⋊C4—84no—
586C42—28no—
587C42—48no—
588C42—84no—
589C23—24no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—24no—
594C23—22no—
595C23—24no—
596C23—24no—
597C23—22no—
598C23—22no—
599C23—24no—
600C23—24no—
601C23—22no—
602C23—22no—
603C23—24no—
604C23—22no—
605C23—24no—
606C23—41no—
607C23—41no—
608C23—42no—
609C23—42no—
610C23—41no—
611C23—41no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—41no—
624C23—41no—
625C23—41no—
626C23—42no—
627C23—41no—
628C23—41no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23#55214yes—
635C23C22×#4111yescharacteristic
636C23C22×#4111yescharacteristic
637C23C2×H(5,𝔽2)11yescharacteristic
638C23C2×H(5,𝔽2)11yescharacteristic
639C23C2×H(5,𝔽2)11yescharacteristic
640C23C2×2−1+411yescharacteristic
641C23#58512yes—
642C23#58512yes—
643C23#58511yescharacteristic
644C23#58512yes—
645C23#58512yes—
646D4—416no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—24no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—41no—
665C2×C4—42no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—41no—
671C2×C4—42no—
672C2×C4—41no—
673C2×C4—41no—
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—41no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
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—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—41no—
713C2×C4—41no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—42no—
724C2×C4—42no—
725C2×C4—42no—
726C2×C4—42no—
727C2×C4—42no—
728C2×C4—42no—
729C2×C4—42no—
730C2×C4—42no—
731C2×C4—42no—
732C2×C4—42no—
733C2×C4—42no—
734C2×C4—42no—
735C2×C4—42no—
736C2×C4—42no—
737C2×C4—42no—
738C2×C4—42no—
739C2×C4—42no—
740C2×C4—42no—
741C2×C4—42no—
742C2×C4—42no—
743C2×C4—42no—
744C2×C4—42no—
745C2×C4—42no—
746C2×C4—42no—
747C2×C4—42no—
748C2×C4—42no—
749C2×C4—42no—
750C2×C4—42no—
751C2×C4—42no—
752C2×C4—42no—
753C2×C4—42no—
754C2×C4—42no—
755C2×C4—42no—
756C2×C4—42no—
757C2×C4—42no—
758C2×C4—88no—
759C2×C4—88no—
760C2×C4—88no—
761C2×C4—88no—
762C22—24no—
763C22—28no—
764C22—42no—
765C22—42no—
766C22—44no—
767C22—42no—
768C22—42no—
769C22—42no—
770C22—42no—
771C22—44no—
772C22—44no—
773C22—42no—
774C22—44no—
775C22—42no—
776C22—42no—
777C22—44no—
778C22—81no—
779C22—81no—
780C22—81no—
781C22—81no—
782C22—82no—
783C22—82no—
784C22#345512yes—
785C22#345911yescharacteristic
786C22C2×#55211yescharacteristic
787C22#349011yescharacteristic
788C22#349011yescharacteristic
789C22#349312yes—
790C22#349411yescharacteristic
791C22#352112yes—
792C22#352112yes—
793C22#353311yescharacteristic
794C22#353311yescharacteristic
795C22#353312yes—
796C22#353511yescharacteristic
797C22#353611yescharacteristic
798C22#353912yes—
799C22#354011yescharacteristic
800C22#355111yescharacteristic
801C22#356012yes—
802C22#356212yes—
803C22#356412yes—
804C22#356412yes—
805C22#356612yes—
806C22#356612yes—
807C4—42no—
808C4—42no—
809C4—42no—
810C4—44no—
811C4—42no—
812C4—81no—
813C4—82no—
814C4—82no—
815C4—82no—
816C4—82no—
817C4—82no—
818C4—82no—
819C4—82no—
820C4—82no—
821C4—82no—
822C4—82no—
823C4—82no—
824C2—44no—
825C2—82no—
826C2#3749111yescharacteristic
827C2#3793211yescharacteristic
828C2#3807112yes—
829C2#4064812yes—
830C2#4165011yescharacteristic
831C2#4896412yes—
832C2#5021911yescharacteristic
833C2#5199211yescharacteristic
834C2#5467811yescharacteristic
835C2#5616411yescharacteristic
836C2#5783012yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC23×D4C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #16770C2semidirect
2. #16735C2semidirect
3. #16708C2semidirect
4. #16706C2semidirect
5. #16668C2semidirect
6. #16493C2semidirect
7. #16459C2semidirect
9. #16098C2semidirect
10. #16025C2semidirect
11. #15994C2semidirect
12. #15551C2semidirect
15. #14636C2semidirect
17. #14165C2semidirect
19. #13901C2semidirect

Maximal subgroups

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

subgroupindex
#167702
#167352
#167082
#167062
#166682
#164932
#164592
#163802
#160982
#160252
#159942
#155512
#149642
#148252
#146362
#143452
#141652
#139682
#139012