Finite Group Databasebeta

← #6797233

Subgroups — #6797233

Order 512.

1583 conjugacy classes of subgroups.

The subgroup lattice has 793 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36211C211yesmaximal, characteristic
2#36129C211yesmaximal, characteristic, complemented
3#33287C211yesmaximal, characteristic, complemented
4#31833C214yesmaximal, complemented
5#31730C214yesmaximal, complemented
6#29842C211yesmaximal, characteristic, complemented
7#29807C211yesmaximal, characteristic, complemented
8#29178C211yesmaximal, characteristic, complemented
9#28613C211yesmaximal, characteristic, complemented
10#27962C211yesmaximal, characteristic, complemented
11#27892C211yesmaximal, characteristic, complemented
12#26746C214yesmaximal, complemented
13#26676C214yesmaximal, complemented
14#25903C211yesmaximal, characteristic, complemented
15#25598C211yesmaximal, characteristic, complemented
16#21864C211yesmaximal, characteristic, complemented
17#21834C211yesmaximal, characteristic, complemented
18#21646C211yesmaximal, characteristic, complemented
19#21265C211yesmaximal, characteristic, complemented
20C2×#533C2211yescharacteristic
21C22×C4⋊Q8C2211yescharacteristic
22C2×#492C2211yescharacteristic
23C2×#486C2211yescharacteristic
24C2×#486C2211yescharacteristic
25C2×#431C2211yescharacteristic
26C2×#431C2211yescharacteristic
27#2862C2211yescharacteristic
28#2859C2211yescharacteristic
29#2857C2211yescharacteristic
30#2857C2211yescharacteristic
31#2856C2211yescharacteristic
32#2856C2211yescharacteristic
33#2550—21no—
34#2535—21no—
35#2513—21no—
36#2513C2212yes—
37#2492C2212yes—
38#2490—21no—
39#2490—21no—
40#2451C2212yes—
41#2446—21no—
42#2442—21no—
43#2439—21no—
44#2429—21no—
45#2420—21no—
46#2420C2212yes—
47#2417C2212yes—
48#2414—21no—
49#2414C2212yes—
50#2409—21no—
51#2363—21no—
52#2363C2212yes—
53#2360C2212yes—
54#2357—21no—
55#2352—21no—
56Q8×C22⋊C4—21no—
57C4×C4⋊Q8C2211yescharacteristic
58C4×#127C2211yescharacteristic
59#2285C2211yescharacteristic
60#2285C2211yescharacteristic
61C42×D4C2211yescharacteristic
62#2101C2214yes—
63#2086C2214yes—
64#2067C2214yes—
65#2055C2214yes—
66#2055C2214yes—
67#2036C2214yes—
68#2033C2214yes—
69#2023C2214yes—
70#2000C2214yes—
71#2000C2214yes—
72#1990C2211yescharacteristic
73#1990C2211yescharacteristic
74#1990C2211yescharacteristic
75#1990C2211yescharacteristic
76#1990C2211yescharacteristic
77#1990C2211yescharacteristic
78#1987C2214yes—
79#1957C2211yescharacteristic
80#1956C2211yescharacteristic
81#1956C2211yescharacteristic
82#1956C2211yescharacteristic
83#1955C2212yes—
84#1940C2212yes—
85#1936C2214yes—
86#1935C2214yes—
87#1935C2214yes—
88#1928C2214yes—
89#1924C2212yes—
90#1924C2212yes—
91#1918C2214yes—
92#1880C2214yes—
93#1877C2214yes—
94#1874C2214yes—
95#1873C2214yes—
96#1845C2211yescharacteristic
97#1834C2211yescharacteristic
98#1834C2211yescharacteristic
99#1825C2214yes—
100#1824C2214yes—
101#1805C2214yes—
102C4×C4⋊C8C2211yescharacteristic
103#1762C2214yes—
104C4×C22⋊C8C2211yescharacteristic
105C4×C22⋊C8C2211yescharacteristic
106C4×#97C2211yescharacteristic
107C23×Q8—21no—
108C22×SD16C2314yes—
109#533—24no—
110#533—42no—
111C2×C4⋊Q8—24no—
112C2×C4⋊Q8—21no—
113C2×C4⋊Q8—21no—
114C2×C4⋊Q8—42no—
115C2×C4⋊Q8C2311yescharacteristic
116C2×C4⋊Q8C2311yescharacteristic
117C2×C4⋊Q8C2312yes—
118C2×C4⋊Q8C2311yescharacteristic
119C2×#127C2311yescharacteristic
120C2×#125—21no—
121C2×#125—21no—
122C2×C22⋊Q8—21no—
123C2×C22⋊Q8—21no—
124C2×C22⋊Q8C2312yes—
125C2×C22⋊Q8C2312yes—
126C2×#121—21no—
127C2×#121—21no—
128C2×#121—21no—
129C2×#121—21no—
130C2×#121C2312yes—
131C2×#121C2312yes—
132C2×C4×Q8—21no—
133C2×C4×Q8—21no—
134C2×C4×Q8C2312yes—
135C2×C4×D4—21no—
136C2×C4×D4—21no—
137C2×C4×D4D411yescharacteristic
138C2×C4×D4D411yescharacteristic
139C2×C4×D4C2312yes—
140C2×C4×D4C2311yescharacteristic
141C2×#117—21no—
142C2×#117—21no—
143C2×#117C2312yes—
144C22×C4⋊C4—21no—
145C22×C4⋊C4C2312yes—
146C22×C42C2311yescharacteristic
147C22×C42C2311yescharacteristic
148#492—42no—
149#486—24no—
150#486—42no—
151#431—42no—
152#431—42no—
153C2×#107C2314yes—
154C2×C4⋊C8C2312yes—
155C2×C4⋊C8C2312yes—
156C2×C4⋊C8C2312yes—
157C2×#103C2314yes—
158C2×#103C2314yes—
159C2×#103C2314yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×C22⋊C8C2312yes—
164C2×C22⋊C8C2312yes—
165C2×C22⋊C8C2312yes—
166C2×C22⋊C8C2312yes—
167C2×#97C2312yes—
168C2×#97C2312yes—
169C2×C4×C8C2311yescharacteristic
170C2×C4×C8C2311yescharacteristic
171C2×C4×C8C2311yescharacteristic
172C2×C4×C8C2311yescharacteristic
173#400—22no—
174#398—22no—
175#398—22no—
176#397—22no—
177#397—22no—
178#397—22no—
179#396—22no—
180#395—22no—
181#394—22no—
182#394—22no—
183#393—22no—
184#392—22no—
185#391—21no—
186#391—21no—
187#391—21no—
188#391—21no—
189#391—22no—
190#391—22no—
191#391C2312yes—
192#391C2312yes—
193#391C2312yes—
194#390—22no—
195#390—22no—
196#390—21no—
197#390—21no—
198#390—21no—
199#390—21no—
200#390—21no—
201#390—21no—
202#390C2312yes—
203#390C2312yes—
204#390C2312yes—
205#389—21no—
206#389—21no—
207#389—21no—
208#389—21no—
209#389—21no—
210#389—21no—
211#389—22no—
212#389C2312yes—
213#389C2312yes—
214#389C2312yes—
215#389C2312yes—
216#388—22no—
217#388—22no—
218#388—22no—
219#388—22no—
220#388—22no—
221#387—22no—
222#387—22no—
223#386—22no—
224#386—22no—
225#386—22no—
226#385—22no—
227#384C2311yescharacteristic
228#384C2311yescharacteristic
229#384C2311yescharacteristic
230#384C2311yescharacteristic
231#382—21no—
232#382—21no—
233#382—21no—
234#382—21no—
235#382C2312yes—
236#381—22no—
237#380—21no—
238#380—21no—
239#380—21no—
240#380—21no—
241#380—21no—
242#380—21no—
243#380—22no—
244#380C2312yes—
245#380C2312yes—
246C4×C4⋊C4—21no—
247C4×C4⋊C4—21no—
248C4×C4⋊C4—21no—
249C4×C4⋊C4—21no—
250C4×C4⋊C4D411yescharacteristic
251C4×C4⋊C4D411yescharacteristic
252C4×C4⋊C4C2312yes—
253C4×C4⋊C4C2312yes—
254C4×C4⋊C4C2311yescharacteristic
255C4×C22⋊C4—22no—
256C4×C22⋊C4—22no—
257C4×C22⋊C4D411yescharacteristic
258C4×C22⋊C4D411yescharacteristic
259C4×C22⋊C4D411yescharacteristic
260C4×C22⋊C4D411yescharacteristic
261C4×C22⋊C4C2311yescharacteristic
262C4×C22⋊C4C2311yescharacteristic
263C43C2311yescharacteristic
264#340C2314yes—
265#340C2314yes—
266#340C2314yes—
267#340C2314yes—
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#336C2312yes—
273#336C2312yes—
274#336C2312yes—
275C22×Q8—21no—
276C22×Q8—21no—
277C22×Q8—22no—
278C22×Q8—44no—
279C22×Q8—44no—
280C22×Q8—82no—
281C22×Q8C2412yes—
282C22×D4—22no—
283C22×D4—22no—
284C22×D4—21no—
285C22×D4—21no—
286C22×D4C2×D411yescharacteristic
287C22×D4C2412yes—
288C23×C4—22no—
289C23×C4—22no—
290C23×C4C2×D411yescharacteristic
291C23×C4C2×D411yescharacteristic
292C23×C4C2×D411yescharacteristic
293C23×C4C2×D411yescharacteristic
294C23×C4C2411yescharacteristic
295C23×C4C2411yescharacteristic
296C2×SD16—44no—
297C2×SD16—44no—
298C2×SD16—44no—
299C22×C8C2412yes—
300C22×C8C2412yes—
301C22×C8C2412yes—
302C22×C8C2412yes—
303C4⋊Q8—24no—
304C4⋊Q8—22no—
305C4⋊Q8—22no—
306C4⋊Q8—22no—
307C4⋊Q8—22no—
308C4⋊Q8—22no—
309C4⋊Q8—42no—
310C4⋊Q8—44no—
311C4⋊Q8—44no—
312C4⋊Q8#4114yes—
313#127—22no—
314#127—22no—
315#125—44no—
316#125—82no—
317C22⋊Q8—24no—
318C22⋊Q8—44no—
319C22⋊Q8—42no—
320C22⋊Q8—44no—
321C22⋊Q8—82no—
322#121—44no—
323#121—44no—
324#121—44no—
325#121—82no—
326#121—82no—
327#121—82no—
328C4×Q8—24no—
329C4×Q8—42no—
330C4×Q8—44no—
331C4×Q8—82no—
332C4×D4—24no—
333C4×D4—42no—
334C4×D4—42no—
335C4×D4—44no—
336C4×D4—44no—
337C4×D4—82no—
338#117—44no—
339#117—44no—
340#117—82no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—24no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—21no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—21no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—42no—
364C2×C4⋊C4—44no—
365C2×C4⋊C4C2×D411yescharacteristic
366C2×C4⋊C4C2×D411yescharacteristic
367C2×C4⋊C4C2×D411yescharacteristic
368C2×C4⋊C4C2412yes—
369C2×C4⋊C4C2412yes—
370C2×C4⋊C4C2412yes—
371C2×C4⋊C4C2412yes—
372C2×C4⋊C4C2412yes—
373C2×C4⋊C4C2412yes—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—22no—
379C2×C22⋊C4—22no—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—22no—
382C2×C22⋊C4—22no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—22no—
387C2×C22⋊C4—22no—
388C2×C22⋊C4C2×D411yescharacteristic
389C2×C22⋊C4C2×D411yescharacteristic
390C2×C22⋊C4C2×D411yescharacteristic
391C2×C22⋊C4C2×D411yescharacteristic
392C2×C22⋊C4C2×D411yescharacteristic
393C2×C22⋊C4C2×D411yescharacteristic
394C2×C42—22no—
395C2×C42—22no—
396C2×C42—22no—
397C2×C42—22no—
398C2×C42—22no—
399C2×C42—22no—
400C2×C42—22no—
401C2×C42—22no—
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2411yescharacteristic
411C2×C42C2411yescharacteristic
412C2×C42C2411yescharacteristic
413C2×C42C2411yescharacteristic
414C2×C42C2411yescharacteristic
415#107—44no—
416C4⋊C8—42no—
417C4⋊C8—42no—
418C4⋊C8—42no—
419#103—44no—
420#103—44no—
421#103—44no—
422#102—28no—
423#102—44no—
424#102—44no—
425C22⋊C8—42no—
426C22⋊C8—42no—
427C22⋊C8—42no—
428C22⋊C8—42no—
429#97—42no—
430#97—42no—
431C4×C8—22no—
432C4×C8—22no—
433C4×C8—22no—
434C4×C8—22no—
435#95—22no—
436#95—22no—
437#95—22no—
438#95—22no—
439#95—22no—
440#95—22no—
441#95—22no—
442#95—22no—
443#95—22no—
444#95—22no—
445#95—22no—
446#95—22no—
447#95—22no—
448#95—22no—
449#95—22no—
450#95—22no—
451#95C2×D411yescharacteristic
452#95C2×D411yescharacteristic
453#95C2×D411yescharacteristic
454#95C2×D411yescharacteristic
455#95C2×D411yescharacteristic
456#95C2×D411yescharacteristic
457C24—22no—
458C24C22×D411yescharacteristic
459C24C22×D411yescharacteristic
460C2×Q8—24no—
461C2×Q8—22no—
462C2×Q8—22no—
463C2×Q8—24no—
464C2×Q8—24no—
465C2×Q8—44no—
466C2×Q8—44no—
467C2×Q8—42no—
468C2×Q8—42no—
469C2×Q8—42no—
470C2×Q8—42no—
471C2×Q8—42no—
472C2×Q8—82no—
473C2×Q8—816no—
474C2×D4—22no—
475C2×D4—22no—
476C2×D4—22no—
477C2×D4—24no—
478C2×D4—24no—
479C2×D4—41no—
480C2×D4—41no—
481C2×D4—44no—
482C2×D4—44no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4—42no—
486C2×D4—42no—
487C2×D4—42no—
488C2×D4—42no—
489C2×D4—82no—
490C2×D4—82no—
491C2×D4—82no—
492C2×D4—82no—
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—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
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—44no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—82no—
523C22×C4—82no—
524C22×C4—82no—
525C22×C4#13714yes—
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C2511yescharacteristic
539SD16—88no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C4⋊C4—24no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—41no—
562C4⋊C4—41no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—44no—
567C4⋊C4—44no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—82no—
580C4⋊C4—82no—
581C4⋊C4—82no—
582C4⋊C4—82no—
583C4⋊C4C2×#4114yes—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—41no—
587C22⋊C4—41no—
588C22⋊C4—41no—
589C22⋊C4—41no—
590C22⋊C4—44no—
591C22⋊C4—44no—
592C22⋊C4—44no—
593C22⋊C4—44no—
594C22⋊C4—44no—
595C22⋊C4—82no—
596C22⋊C4—82no—
597C22⋊C4—82no—
598C22⋊C4—82no—
599C22⋊C4—82no—
600C22⋊C4—82no—
601C22⋊C4—82no—
602C22⋊C4—82no—
603C22⋊C4—82no—
604C42—22no—
605C42—22no—
606C42—22no—
607C42—22no—
608C42—22no—
609C42—22no—
610C42—22no—
611C42—22no—
612C42—21no—
613C42—21no—
614C42—21no—
615C42—21no—
616C42—22no—
617C42—22no—
618C42—44no—
619C42—82no—
620C42—82no—
621C42—82no—
622C42C2×#4112yes—
623C42H(5,𝔽2)12yes—
624C23—21no—
625C23—21no—
626C23—21no—
627C23—21no—
628C23—21no—
629C23—21no—
630C23—21no—
631C23—21no—
632C23—21no—
633C23—21no—
634C23—21no—
635C23—21no—
636C23—21no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23C2×#13712yes—
645C23C23×D411yescharacteristic
646Q8—48no—
647Q8—44no—
648Q8—44no—
649Q8—88no—
650Q8—84no—
651D4—44no—
652D4—44no—
653D4—44no—
654D4—84no—
655D4—84no—
656D4—164no—
657D4—164no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—28no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—24no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—44no—
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—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—88no—
717C2×C4—164no—
718C2×C4#54612yes—
719C2×C4#54612yes—
720C2×C4C2×#13712yes—
721C2×C4C2×#13712yes—
722C2×C4#57512yes—
723C2×C4#57612yes—
724C2×C4#57712yes—
725C2×C4C22×#4111yescharacteristic
726C2×C4C2×H(5,𝔽2)11yescharacteristic
727C2×C4#58512yes—
728C2×C4#58512yes—
729C8—42no—
730C8—42no—
731C8—42no—
732C8—42no—
733C22—22no—
734C22—22no—
735C22—22no—
736C22—41no—
737C22—41no—
738C22—41no—
739C22—41no—
740C22—41no—
741C22—41no—
742C22—41no—
743C22—41no—
744C22—41no—
745C22—41no—
746C22—41no—
747C22—82no—
748C22—82no—
749C22—82no—
750C22—82no—
751C22—82no—
752C22—82no—
753C22—82no—
754C22#344911yescharacteristic
755C22C2×#54611yescharacteristic
756C22#350011yescharacteristic
757C22C22×#13711yescharacteristic
758C22C2×#57511yescharacteristic
759C22C2×#57611yescharacteristic
760C22C2×#57711yescharacteristic
761C4—22no—
762C4—41no—
763C4—41no—
764C4—41no—
765C4—41no—
766C4—41no—
767C4—41no—
768C4—41no—
769C4—41no—
770C4—41no—
771C4—44no—
772C4—82no—
773C4—82no—
774C4—82no—
775C4—82no—
776C4—82no—
777C4—82no—
778C4#331914yes—
779C4#332014yes—
780C4#352412yes—
781C4#355112yes—
782C2—42no—
783C2—81no—
784C2—162no—
785C2#3894811yescharacteristic
786C2#6096611yescharacteristic
787C2#6100611yescharacteristic
788C2C2×#332011yescharacteristic
789C2C2×#331911yescharacteristic
790C2#6253711yescharacteristic
791C2#6254411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36211C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #36129C2semidirect
3. #33287C2semidirect
4. #31833C2semidirect
5. #31730C2semidirect
6. #29842C2semidirect
7. #29807C2semidirect
8. #29178C2semidirect
9. #28613C2semidirect
10. #27962C2semidirect
11. #27892C2semidirect
12. #26746C2semidirect
13. #26676C2semidirect
14. #25903C2semidirect
15. #25598C2semidirect
16. #21864C2semidirect
17. #21834C2semidirect
18. #21646C2semidirect
19. #21265C2semidirect

Maximal subgroups

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

subgroupindex
#362112
#361292
#332872
#318332
#317302
#298422
#298072
#291782
#286132
#279622
#278922
#267462
#266762
#259032
#255982
#218642
#218342
#216462
#212652