Finite Group Databasebeta

← #6493833

Subgroups — #6493833

Order 512.

1734 conjugacy classes of subgroups.

The subgroup lattice has 781 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35298C211yesmaximal, characteristic
2#35275C211yesmaximal, characteristic, complemented
3#33287C211yesmaximal, characteristic, complemented
4#33277C211yesmaximal, characteristic, complemented
5#33230C211yesmaximal, characteristic, complemented
6#33225C211yesmaximal, characteristic, complemented
7#30220C211yesmaximal, characteristic, complemented
8#30219C211yesmaximal, characteristic, complemented
9#30205C211yesmaximal, characteristic, complemented
10#30203C211yesmaximal, characteristic, complemented
11#27785C214yesmaximal, complemented
12#27765C214yesmaximal, complemented
13#27278C214yesmaximal, complemented
14#27274C214yesmaximal, complemented
15#21860C211yesmaximal, characteristic, complemented
16#21805C211yesmaximal, characteristic
17#21409C211yesmaximal, characteristic, complemented
18#21200C211yesmaximal, characteristic
19#20472C211yesmaximal, characteristic, complemented
20C2×#544—21no—
21C2×#533C2211yescharacteristic
22C2×#532C2211yescharacteristic
23C2×#489C2214yes—
24C2×#487C2214yes—
25C2×#431C2211yescharacteristic
26C2×#417C2214yes—
27C2×C4×M16C2211yescharacteristic
28#2868C2211yescharacteristic
29#2868C2211yescharacteristic
30#2868C2211yescharacteristic
31#2862C2211yescharacteristic
32#2859C2211yescharacteristic
33#2859C2211yescharacteristic
34#2858C2211yescharacteristic
35#2858C2211yescharacteristic
36#2660—21no—
37#2660—21no—
38#2620—21no—
39#2620—21no—
40#2566—21no—
41#2566—21no—
42#2552—21no—
43#2552C2212yes—
44#2551—21no—
45#2551C2212yes—
46#2545C2212yes—
47#2545C2212yes—
48#2500—21no—
49#2500—21no—
50#2440—21no—
51#2440—21no—
52#2440C2212yes—
53#2440C2212yes—
54#2432C2212yes—
55#2432C2212yes—
56#2326—21no—
57#2326—21no—
58#2317—21no—
59#2285C2211yescharacteristic
60C2×#384C2211yescharacteristic
61C4×#117C2211yescharacteristic
62#2072C2214yes—
63#2071C2214yes—
64#2043C2214yes—
65#2043C2214yes—
66#2042C2214yes—
67#2042C2214yes—
68#2024C2214yes—
69#2023C2214yes—
70#1990C2211yescharacteristic
71#1990C2211yescharacteristic
72#1990C2211yescharacteristic
73#1990C2211yescharacteristic
74#1983C2214yes—
75#1959C2214yes—
76#1959C2214yes—
77#1957C2211yescharacteristic
78#1957C2211yescharacteristic
79#1957C2211yescharacteristic
80#1957C2211yescharacteristic
81#1956C2211yescharacteristic
82#1956C2211yescharacteristic
83#1956C2211yescharacteristic
84#1956C2211yescharacteristic
85#1956C2211yescharacteristic
86#1956C2211yescharacteristic
87#1956C2211yescharacteristic
88#1956C2214yes—
89#1956C2211yescharacteristic
90#1935C2214yes—
91#1935C2214yes—
92#1934C2214yes—
93#1934C2214yes—
94#1894C2214yes—
95#1872C2214yes—
96#1803C2214yes—
97#1788C2214yes—
98#1771C2212yes—
99#1771C2212yes—
100#1763C2214yes—
101#1753C2212yes—
102#1753C2212yes—
103#1744C2211yescharacteristic
104#1744C2211yescharacteristic
105C4×#97C2211yescharacteristic
106C42×C8C2211yescharacteristic
107C22×#41C2312yes—
108C22×M16C2312yes—
109#544—48no—
110#533—24no—
111#533—24no—
112#532—24no—
113#532—24no—
114C2×C4⋊Q8—22no—
115C2×C4⋊Q8—21no—
116C2×C4⋊Q8—21no—
117C2×C4⋊Q8—21no—
118C2×C4⋊Q8—21no—
119C2×C4⋊Q8C2311yescharacteristic
120C2×C4⋊Q8C2311yescharacteristic
121C2×C4⋊Q8C2312yes—
122C2×C4⋊Q8C2312yes—
123C2×C4⋊Q8C2311yescharacteristic
124C2×C4⋊Q8C2312yes—
125C2×C4⋊Q8C2312yes—
126C2×#127C2311yescharacteristic
127C2×#125—22no—
128C2×#125—21no—
129C2×#125—21no—
130C2×#125—21no—
131C2×#124—21no—
132C2×#124—21no—
133C2×#124C2312yes—
134C2×#124C2312yes—
135C2×#124C2312yes—
136C2×C22⋊Q8—21no—
137C2×C22⋊Q8—22no—
138C2×C22⋊Q8—22no—
139C2×C22⋊Q8C2312yes—
140C2×#121—21no—
141C2×#121—21no—
142C2×C4×Q8—21no—
143C2×C4×Q8C2312yes—
144C2×C4×D4—21no—
145C2×C4×D4—21no—
146C2×#117—21no—
147C2×#117—21no—
148C2×#117D411yescharacteristic
149C2×#117D411yescharacteristic
150C22×C4⋊C4—21no—
151C22×C4⋊C4—21no—
152C22×C4⋊C4C2312yes—
153C22×C42C2311yescharacteristic
154#489—48no—
155#487—48no—
156#431—24no—
157C2×C4⋊C8C2312yes—
158#417—48no—
159C2×#103C2314yes—
160C2×#103C2314yes—
161C2×#103C2314yes—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#103C2314yes—
167C2×#102C2314yes—
168C2×#102C2314yes—
169C2×#102C2314yes—
170C2×#102C2314yes—
171C2×C22⋊C8C2312yes—
172C4×M16—24no—
173C2×#97C2312yes—
174C2×#97C2312yes—
175C2×#97C2312yes—
176C2×C4×C8C2311yescharacteristic
177C2×C4×C8C2311yescharacteristic
178C2×C4×C8C2312yes—
179C2×C4×C8C2311yescharacteristic
180C2×C4×C8C2311yescharacteristic
181C2×C4×C8C2312yes—
182#398—22no—
183#398—22no—
184#398—22no—
185#398—22no—
186#396—22no—
187#396—22no—
188#396—22no—
189#396—22no—
190#395—22no—
191#395—22no—
192#395—22no—
193#395—22no—
194#394—22no—
195#394—22no—
196#394—22no—
197#394—22no—
198#391—21no—
199#391—21no—
200#391C2312yes—
201#391C2312yes—
202#390—21no—
203#390—21no—
204#390—21no—
205#390—21no—
206#390—21no—
207#390—21no—
208#390C2312yes—
209#390C2312yes—
210#389—22no—
211#389—22no—
212#389—21no—
213#389—21no—
214#389—21no—
215#389—21no—
216#389C2312yes—
217#389C2312yes—
218#389C2312yes—
219#389C2312yes—
220#388—22no—
221#388—22no—
222#388—22no—
223#388—22no—
224#385—22no—
225#385—22no—
226#385—22no—
227#385—22no—
228#385—22no—
229#385—22no—
230#384—21no—
231#384—21no—
232#384—21no—
233#384—21no—
234#384—21no—
235#384—21no—
236#384—21no—
237#384—21no—
238#384—21no—
239#384—21no—
240#384C2312yes—
241#384C2312yes—
242#384C2312yes—
243#384C2311yescharacteristic
244#384C2311yescharacteristic
245#384C2311yescharacteristic
246#384C2311yescharacteristic
247#382—21no—
248#382—21no—
249#382—21no—
250#382—21no—
251#382—21no—
252#380—21no—
253#380C2312yes—
254C4×C4⋊C4—21no—
255C4×C4⋊C4D411yescharacteristic
256C4×C4⋊C4D411yescharacteristic
257C4×C4⋊C4C2312yes—
258C4×C4⋊C4C2311yescharacteristic
259C4×C4⋊C4C2311yescharacteristic
260C4×C22⋊C4D411yescharacteristic
261C4×C22⋊C4D411yescharacteristic
262C4×C22⋊C4C2311yescharacteristic
263C4×C22⋊C4C2311yescharacteristic
264#376D411yescharacteristic
265#376D411yescharacteristic
266C43C2311yescharacteristic
267C43C2311yescharacteristic
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#336C2312yes—
273#336C2312yes—
274#336C2312yes—
275#336C2312yes—
276C2×#41—24no—
277C2×#41—24no—
278C2×#41—44no—
279C2×#41—44no—
280C22×Q8—21no—
281C22×Q8—22no—
282C22×Q8—22no—
283C22×Q8C2412yes—
284C22×Q8C2412yes—
285C22×D4—22no—
286C22×D4—21no—
287C22×D4—21no—
288C22×D4C2412yes—
289C23×C4—22no—
290C23×C4—22no—
291C23×C4C2×D411yescharacteristic
292C23×C4C2×D411yescharacteristic
293C23×C4C2411yescharacteristic
294C2×M16—24no—
295C2×M16—24no—
296C2×M16—42no—
297C22×C8C2412yes—
298C22×C8C2412yes—
299C22×C8C2412yes—
300C22×C8C2412yes—
301C4⋊Q8—22no—
302C4⋊Q8—22no—
303C4⋊Q8—22no—
304C4⋊Q8—22no—
305C4⋊Q8—22no—
306C4⋊Q8—22no—
307C4⋊Q8—44no—
308C4⋊Q8—44no—
309C4⋊Q8—44no—
310C4⋊Q8—44no—
311C4⋊Q8—44no—
312C4⋊Q8—48no—
313C4⋊Q8—44no—
314C4⋊Q8—82no—
315C4⋊Q8—82no—
316#127—22no—
317#127—22no—
318#125—44no—
319#125—48no—
320#125—44no—
321#125—44no—
322#124—24no—
323#124—24no—
324#124—44no—
325#124—44no—
326#124—44no—
327#124—44no—
328C22⋊Q8—24no—
329C22⋊Q8—24no—
330C22⋊Q8—48no—
331C22⋊Q8—48no—
332C22⋊Q8—44no—
333#121—44no—
334#121—44no—
335C4×Q8—24no—
336C4×Q8—24no—
337C4×Q8—44no—
338C4×D4—44no—
339C4×D4—44no—
340#117—24no—
341#117—24no—
342#117—44no—
343#117—44no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—21no—
365C2×C4⋊C4—21no—
366C2×C4⋊C4—22no—
367C2×C4⋊C4—22no—
368C2×C4⋊C4—22no—
369C2×C4⋊C4—22no—
370C2×C4⋊C4—22no—
371C2×C4⋊C4—22no—
372C2×C4⋊C4—22no—
373C2×C4⋊C4—22no—
374C2×C4⋊C4—22no—
375C2×C4⋊C4—22no—
376C2×C4⋊C4—44no—
377C2×C4⋊C4—44no—
378C2×C4⋊C4—82no—
379C2×C4⋊C4C2×D411yescharacteristic
380C2×C4⋊C4C2×D411yescharacteristic
381C2×C4⋊C4C2×D411yescharacteristic
382C2×C4⋊C4C2×D411yescharacteristic
383C2×C4⋊C4C2412yes—
384C2×C4⋊C4C2412yes—
385C2×C4⋊C4C2412yes—
386C2×C4⋊C4C2412yes—
387C2×C4⋊C4C2412yes—
388C2×C22⋊C4—22no—
389C2×C22⋊C4—22no—
390C2×C22⋊C4—22no—
391C2×C22⋊C4—22no—
392C2×C22⋊C4—22no—
393C2×C22⋊C4—22no—
394C2×C22⋊C4—22no—
395C2×C22⋊C4—22no—
396C2×C22⋊C4—22no—
397C2×C22⋊C4—22no—
398C2×C22⋊C4—22no—
399C2×C22⋊C4—22no—
400C2×C22⋊C4C2×D411yescharacteristic
401C2×C22⋊C4C2×D411yescharacteristic
402C2×C22⋊C4C2×D411yescharacteristic
403C2×C22⋊C4C2×D411yescharacteristic
404C2×C42—22no—
405C2×C42—22no—
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2×D411yescharacteristic
411C2×C42C2×D411yescharacteristic
412C2×C42C2×D411yescharacteristic
413C2×C42C2×D411yescharacteristic
414C2×C42C2×D411yescharacteristic
415C2×C42C2×D411yescharacteristic
416C2×C42#4114yes—
417C2×C42#4114yes—
418C2×C42C2411yescharacteristic
419C2×C42C2411yescharacteristic
420C2×C42C2411yescharacteristic
421C2×C42C2411yescharacteristic
422C2×C42C2411yescharacteristic
423C2×C42C2411yescharacteristic
424C4⋊C8—24no—
425#103—28no—
426#103—28no—
427#103—44no—
428#103—44no—
429#103—44no—
430#103—44no—
431#103—44no—
432#103—44no—
433#102—28no—
434#102—44no—
435#102—44no—
436#102—44no—
437C22⋊C8—24no—
438#97—24no—
439#97—24no—
440#97—42no—
441C4×C8—24no—
442C4×C8—22no—
443C4×C8—22no—
444C4×C8—22no—
445C4×C8—22no—
446C4×C8—42no—
447#95—22no—
448#95—22no—
449#95—22no—
450#95—22no—
451#95—22no—
452#95—22no—
453#95—22no—
454#95—22no—
455#95—22no—
456#95—22no—
457#95C2×D411yescharacteristic
458#95C2×D411yescharacteristic
459#95C2×D411yescharacteristic
460#95C2×D411yescharacteristic
461#95C2×D411yescharacteristic
462#95C2×D411yescharacteristic
463#95C2×D411yescharacteristic
464#95C2×D411yescharacteristic
465C24—22no—
466C24C22×D411yescharacteristic
467#41—416no—
468#41—88no—
469C2×Q8—22no—
470C2×Q8—22no—
471C2×Q8—22no—
472C2×Q8—22no—
473C2×Q8—24no—
474C2×Q8—24no—
475C2×Q8—24no—
476C2×Q8—24no—
477C2×Q8—44no—
478C2×Q8—42no—
479C2×Q8—42no—
480C2×Q8—44no—
481C2×Q8—42no—
482C2×Q8—82no—
483C2×Q8—82no—
484C2×Q8—82no—
485C2×Q8—82no—
486C2×D4—22no—
487C2×D4—22no—
488C2×D4—24no—
489C2×D4—24no—
490C2×D4—44no—
491C2×D4—42no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4—42no—
496C2×D4—42no—
497C2×D4—82no—
498C2×D4—82no—
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—44no—
513C22×C4—44no—
514C22×C4—82no—
515C22×C4—82no—
516C22×C4—82no—
517C22×C4—82no—
518C22×C4#12414yes—
519C22×C4#12414yes—
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C2×#4112yes—
534C22×C4C2×#4112yes—
535C22×C4C2511yescharacteristic
536M16—48no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
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×C8H(5,𝔽2)14yes—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—24no—
556C4⋊C4—24no—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—44no—
560C4⋊C4—44no—
561C4⋊C4—44no—
562C4⋊C4—44no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—44no—
568C4⋊C4—44no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—44no—
575C4⋊C4—44no—
576C4⋊C4—44no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4—82no—
582C4⋊C4—82no—
583C4⋊C4—82no—
584C4⋊C4—82no—
585C4⋊C4—82no—
586C4⋊C4—82no—
587C4⋊C4—82no—
588C4⋊C4—82no—
589C4⋊C4—82no—
590C4⋊C4—82no—
591C22⋊C4—22no—
592C22⋊C4—22no—
593C22⋊C4—22no—
594C22⋊C4—22no—
595C22⋊C4—44no—
596C22⋊C4—44no—
597C22⋊C4—44no—
598C22⋊C4—44no—
599C22⋊C4—44no—
600C22⋊C4—44no—
601C22⋊C4—44no—
602C22⋊C4—44no—
603C22⋊C4—82no—
604C22⋊C4—82no—
605C22⋊C4—82no—
606C22⋊C4—82no—
607C42—22no—
608C42—22no—
609C42—22no—
610C42—22no—
611C42—22no—
612C42—22no—
613C42—22no—
614C42—22no—
615C42—22no—
616C42—22no—
617C42—44no—
618C42—44no—
619C42#12414yes—
620C42#12414yes—
621C42AGL(1,ℤ/8)14yes—
622C42#13714yes—
623C42C2×#4112yes—
624C42C2×#4112yes—
625C42C2×#4112yes—
626C42C2×#4112yes—
627C23—21no—
628C23—21no—
629C23—21no—
630C23—21no—
631C23—21no—
632C23—21no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23C2×#12412yes—
641C23C23×D411yescharacteristic
642Q8—44no—
643Q8—44no—
644Q8—44no—
645Q8—44no—
646Q8—84no—
647Q8—164no—
648Q8—164no—
649D4—44no—
650D4—44no—
651D4—88no—
652D4—84no—
653D4—84no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—28no—
669C2×C4—28no—
670C2×C4—24no—
671C2×C4—24no—
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—42no—
685C2×C4—42no—
686C2×C4—42no—
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—88no—
706C2×C4—164no—
707C2×C4C2×#12412yes—
708C2×C4C2×#12412yes—
709C2×C4C2×#12412yes—
710C2×C4C2×#12412yes—
711C2×C4C2×#12412yes—
712C2×C4C2×AGL(1,ℤ/8)12yes—
713C2×C4C2×AGL(1,ℤ/8)12yes—
714C2×C4C2×AGL(1,ℤ/8)12yes—
715C2×C4C2×#13712yes—
716C2×C4C2×#13712yes—
717C2×C4C2×#13712yes—
718C2×C4#57712yes—
719C2×C4#57812yes—
720C2×C4C22×#4111yescharacteristic
721C2×C4C22×#4111yescharacteristic
722C2×C4C2×H(5,𝔽2)12yes—
723C2×C4#58512yes—
724C8—24no—
725C8—42no—
726C8—42no—
727C8—42no—
728C22—22no—
729C22—22no—
730C22—22no—
731C22—41no—
732C22—41no—
733C22—41no—
734C22—41no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22—82no—
739C22—82no—
740C22—82no—
741C22—82no—
742C22C22×#12411yescharacteristic
743C22#349811yescharacteristic
744C22#350011yescharacteristic
745C22C22×AGL(1,ℤ/8)11yescharacteristic
746C22C22×#13711yescharacteristic
747C22C2×#57711yescharacteristic
748C22C2×#57811yescharacteristic
749C4—22no—
750C4—22no—
751C4—22no—
752C4—22no—
753C4—22no—
754C4—22no—
755C4—22no—
756C4—41no—
757C4—41no—
758C4—41no—
759C4—41no—
760C4—82no—
761C4—82no—
762C4—82no—
763C4—82no—
764C4—82no—
765C4—82no—
766C4—82no—
767C4#313714yes—
768C4#314114yes—
769C4#346012yes—
770C4#349412yes—
771C2—42no—
772C2—162no—
773C2#3526411yescharacteristic
774C2C2×#313711yescharacteristic
775C2C2×#314111yescharacteristic
776C2#6242111yescharacteristic
777C2#6242411yescharacteristic
778C2#6253811yescharacteristic
779C2#6254211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#532C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #35275C2semidirect
3. #33287C2semidirect
4. #33277C2semidirect
5. #33230C2semidirect
6. #33225C2semidirect
7. #30220C2semidirect
8. #30219C2semidirect
9. #30205C2semidirect
10. #30203C2semidirect
11. #27785C2semidirect
12. #27765C2semidirect
13. #27278C2semidirect
14. #27274C2semidirect
15. #21860C2semidirect
17. #21409C2semidirect
19. #20472C2semidirect

Maximal subgroups

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

subgroupindex
#352982
#352752
#332872
#332772
#332302
#332252
#302202
#302192
#302052
#302032
#277852
#277652
#272782
#272742
#218602
#218052
#214092
#212002
#204722