Finite Group Databasebeta

← #6524923

Subgroups — #6524923

Order 512.

1898 conjugacy classes of subgroups.

The subgroup lattice has 795 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3210C211yesmaximal, characteristic
2C2×#3131C211yesmaximal, characteristic
3#35322C211yesmaximal, characteristic, complemented
4#34226C211yesmaximal, characteristic
5#28719C211yesmaximal, characteristic, complemented
6#28718C211yesmaximal, characteristic, complemented
7#28717C211yesmaximal, characteristic, complemented
8#28716C211yesmaximal, characteristic, complemented
9#28616C211yesmaximal, characteristic, complemented
10#28616C211yesmaximal, characteristic, complemented
11#28613C211yesmaximal, characteristic, complemented
12#28613C211yesmaximal, characteristic, complemented
13#25329C214yesmaximal, complemented
14#25328C214yesmaximal, complemented
15#24536C214yesmaximal, complemented
16#24534C214yesmaximal, complemented
17#21835C211yesmaximal, characteristic, complemented
18#21400C211yesmaximal, characteristic, complemented
19#21349C211yesmaximal, characteristic, complemented
20C2×#533C2211yescharacteristic
21C2×#533C2211yescharacteristic
22C2×#532C2211yescharacteristic
23#3210—28no—
24C2×#494C2211yescharacteristic
25C2×#492C2211yescharacteristic
26#3131—28no—
27C2×#488C2214yes—
28C2×#487C2211yescharacteristic
29C2×#487C2211yescharacteristic
30C2×#487C2211yescharacteristic
31C2×#486C2211yescharacteristic
32C2×#486C2211yescharacteristic
33C2×#486C2211yescharacteristic
34C2×#464C2214yes—
35C2×#452C2214yes—
36C2×#431C2211yescharacteristic
37C2×#416C2214yes—
38C22×C4×C8C2211yescharacteristic
39#2868C2211yescharacteristic
40#2862C2211yescharacteristic
41#2862C2211yescharacteristic
42#2862C2211yescharacteristic
43#2621—21no—
44#2621—21no—
45#2565—21no—
46#2565—21no—
47#2565C2212yes—
48#2565C2212yes—
49#2499—21no—
50#2499—21no—
51#2499C2212yes—
52#2499C2212yes—
53#2367C2212yes—
54#2367C2212yes—
55#2363—21no—
56#2363—21no—
57#2357—21no—
58#2349—21no—
59#2341C2212yes—
60#2339C2212yes—
61#2327—21no—
62#2327—21no—
63#2324—21no—
64#2324—21no—
65#2319—21no—
66C4×C4⋊Q8C2211yescharacteristic
67C4×C4⋊Q8C2211yescharacteristic
68C4×#127C2211yescharacteristic
69C4×#127C2211yescharacteristic
70#2285C2211yescharacteristic
71#2275—21no—
72C4×#117C2211yescharacteristic
73#2074C2214yes—
74#2073C2214yes—
75#2072C2214yes—
76#2071C2214yes—
77#2056C2214yes—
78#2056C2214yes—
79#2055C2214yes—
80#2055C2214yes—
81#1990C2211yescharacteristic
82#1990C2211yescharacteristic
83#1990C2211yescharacteristic
84#1990C2211yescharacteristic
85#1990C2211yescharacteristic
86#1990C2211yescharacteristic
87#1989C2214yes—
88#1956C2211yescharacteristic
89#1956C2211yescharacteristic
90#1939C2212yes—
91#1939C2212yes—
92#1892C2214yes—
93#1878C2214yes—
94#1878C2214yes—
95#1877C2214yes—
96#1877C2214yes—
97#1850C2212yes—
98#1850C2212yes—
99#1825C2214yes—
100#1805C2214yes—
101#1804C2214yes—
102#1803C2214yes—
103#1802C2214yes—
104C4×C4⋊C8C2211yescharacteristic
105C4×C4⋊C8C2211yescharacteristic
106C4×C4⋊C8C2211yescharacteristic
107C4×C4⋊C8C2211yescharacteristic
108C4×#103C2214yes—
109C22×#41C2312yes—
110C22×Q16C2314yes—
111C22×SD16C2314yes—
112C23×C8C2312yes—
113#533—24no—
114#533—24no—
115#533—24no—
116#533—24no—
117#532—24no—
118#532D418yes—
119C2×C4⋊Q8—21no—
120C2×C4⋊Q8—21no—
121C2×C4⋊Q8C2311yescharacteristic
122C2×C4⋊Q8C2311yescharacteristic
123C2×C4⋊Q8C2311yescharacteristic
124C2×C4⋊Q8C2311yescharacteristic
125C2×C4⋊Q8C2311yescharacteristic
126C2×#127C2311yescharacteristic
127C2×#125—21no—
128C2×#125C2312yes—
129C2×#124C2312yes—
130C2×C22⋊Q8—21no—
131C2×C22⋊Q8—21no—
132C2×C22⋊Q8—21no—
133C2×C22⋊Q8C2312yes—
134C2×#121—21no—
135C2×#121—21no—
136C2×C4×Q8—21no—
137C2×C4×Q8—21no—
138C2×C4×Q8—21no—
139C2×C4×Q8C2312yes—
140C2×C4×Q8C2312yes—
141C2×C4×Q8C2312yes—
142C2×C4×D4—21no—
143C2×C4×D4—21no—
144C2×C4×D4—21no—
145C2×C4×D4—21no—
146C2×C4×D4—21no—
147C2×C4×D4—21no—
148C2×C4×D4C2312yes—
149C2×C4×D4C2312yes—
150C2×#117—21no—
151C2×#117—21no—
152C2×#117D411yescharacteristic
153C2×#117D411yescharacteristic
154C2×#117C2312yes—
155C22×C42C2311yescharacteristic
156#494—24no—
157#492—24no—
158#488—216no—
159#487—24no—
160#487—24no—
161#487—24no—
162#486—24no—
163#486—24no—
164#486—24no—
165#464—216no—
166#452—216no—
167#431—24no—
168C2×C4⋊C8C2312yes—
169C2×C4⋊C8C2312yes—
170C2×C4⋊C8C2312yes—
171C2×C4⋊C8C2312yes—
172C2×C4⋊C8C2312yes—
173#416—216no—
174C2×#103C2314yes—
175C2×#103C2314yes—
176C2×#103C2314yes—
177C2×#103C2314yes—
178C2×#103C2314yes—
179C2×#102C2314yes—
180C2×#102C2314yes—
181C2×#102C2314yes—
182C2×C22⋊C8C2312yes—
183C2×C4×C8—24no—
184C2×C4×C8C2311yescharacteristic
185C2×C4×C8C2311yescharacteristic
186C2×C4×C8C2312yes—
187C2×C4×C8C2311yescharacteristic
188C2×C4×C8C2311yescharacteristic
189#398—22no—
190#398—22no—
191#398—22no—
192#398—22no—
193#397—22no—
194#397—22no—
195#397—22no—
196#397—22no—
197#391—21no—
198#391—21no—
199#391—21no—
200#391—21no—
201#391—21no—
202#391—21no—
203#391—21no—
204#391—21no—
205#391C2312yes—
206#391C2312yes—
207#391C2312yes—
208#391C2312yes—
209#391C2312yes—
210#391C2312yes—
211#390—22no—
212#390—22no—
213#390—21no—
214#390—21no—
215#390—21no—
216#390—21no—
217#390C2312yes—
218#390C2312yes—
219#389—21no—
220#389—21no—
221#389—21no—
222#389—21no—
223#388—22no—
224#388—22no—
225#388—22no—
226#388—22no—
227#387—22no—
228#387—22no—
229#387—22no—
230#387—22no—
231#387—22no—
232#387—22no—
233#387—22no—
234#387—22no—
235#386—22no—
236#386—22no—
237#385—22no—
238#385—22no—
239#384—21no—
240#384—21no—
241#384C2311yescharacteristic
242#384C2311yescharacteristic
243#384C2312yes—
244#384C2312yes—
245#382—21no—
246#382—21no—
247#382—21no—
248#382—21no—
249#382—21no—
250#382C2312yes—
251#382C2312yes—
252#381—22no—
253#380—21no—
254#380—22no—
255#380C2312yes—
256C4×C4⋊C4—21no—
257C4×C4⋊C4—21no—
258C4×C4⋊C4—21no—
259C4×C4⋊C4—21no—
260C4×C4⋊C4—21no—
261C4×C4⋊C4D411yescharacteristic
262C4×C4⋊C4D411yescharacteristic
263C4×C4⋊C4C2312yes—
264C4×C4⋊C4C2311yescharacteristic
265C4×C4⋊C4C2311yescharacteristic
266C4×C22⋊C4—22no—
267C4×C22⋊C4—22no—
268C4×C22⋊C4—22no—
269C4×C22⋊C4D411yescharacteristic
270C4×C22⋊C4D411yescharacteristic
271C4×C22⋊C4C2311yescharacteristic
272C4×C22⋊C4C2311yescharacteristic
273#376D411yescharacteristic
274#376D411yescharacteristic
275C2×#95—22no—
276C43C2311yescharacteristic
277C43C2311yescharacteristic
278#340C2314yes—
279#340C2314yes—
280#340C2314yes—
281#340C2314yes—
282#340C2314yes—
283#340C2314yes—
284#336C2312yes—
285#336C2312yes—
286#336C2312yes—
287#336C2312yes—
288C2×#41—24no—
289C2×#41—44no—
290C2×#41—44no—
291C2×#41C2×D418yes—
292C22×Q8—21no—
293C22×Q8—21no—
294C22×Q8—21no—
295C22×Q8C2412yes—
296C22×Q8C2412yes—
297C22×D4—22no—
298C22×D4—21no—
299C22×D4—21no—
300C22×D4C2412yes—
301C23×C4—22no—
302C23×C4—22no—
303C23×C4—22no—
304C23×C4C2×D411yescharacteristic
305C23×C4C2×D411yescharacteristic
306C23×C4C2411yescharacteristic
307C2×Q16—28no—
308C2×Q16—44no—
309C2×Q16—44no—
310C2×SD16—28no—
311C2×SD16—44no—
312C2×SD16—44no—
313C22×C8—24no—
314C22×C8—42no—
315C22×C8—42no—
316C22×C8C2412yes—
317C22×C8C2412yes—
318C22×C8C2412yes—
319C22×C8C2412yes—
320C4⋊Q8—22no—
321C4⋊Q8—22no—
322C4⋊Q8—22no—
323C4⋊Q8—22no—
324C4⋊Q8—22no—
325C4⋊Q8—22no—
326C4⋊Q8—22no—
327C4⋊Q8—22no—
328C4⋊Q8—22no—
329C4⋊Q8—44no—
330C4⋊Q8—44no—
331C4⋊Q8C2×D414yes—
332#127—22no—
333#127C2×D414yes—
334#125—24no—
335#125—24no—
336#125—44no—
337#124—24no—
338#124C2×D418yes—
339C22⋊Q8—24no—
340C22⋊Q8—24no—
341C22⋊Q8—44no—
342C22⋊Q8—44no—
343C22⋊Q8—44no—
344#121—28no—
345#121—28no—
346C4×Q8—24no—
347C4×Q8—24no—
348C4×Q8—44no—
349C4×Q8—44no—
350C4×Q8—44no—
351C4×Q8—44no—
352C4×Q8—44no—
353C4×D4—28no—
354C4×D4—28no—
355C4×D4—44no—
356C4×D4—44no—
357C4×D4—44no—
358C4×D4—44no—
359C4×D4—82no—
360C4×D4—82no—
361#117—24no—
362#117—24no—
363#117—24no—
364#117—42no—
365#117—44no—
366#117—82no—
367C2×C4⋊C4—21no—
368C2×C4⋊C4—21no—
369C2×C4⋊C4—21no—
370C2×C4⋊C4—21no—
371C2×C4⋊C4—21no—
372C2×C4⋊C4—21no—
373C2×C4⋊C4—21no—
374C2×C4⋊C4—21no—
375C2×C4⋊C4—22no—
376C2×C4⋊C4—22no—
377C2×C4⋊C4—21no—
378C2×C4⋊C4—21no—
379C2×C4⋊C4—21no—
380C2×C4⋊C4—22no—
381C2×C4⋊C4—22no—
382C2×C4⋊C4—22no—
383C2×C4⋊C4—22no—
384C2×C4⋊C4—22no—
385C2×C4⋊C4—22no—
386C2×C4⋊C4—22no—
387C2×C4⋊C4—22no—
388C2×C4⋊C4C2×D411yescharacteristic
389C2×C4⋊C4C2×D411yescharacteristic
390C2×C4⋊C4C2×D411yescharacteristic
391C2×C4⋊C4C2×D411yescharacteristic
392C2×C4⋊C4C2412yes—
393C2×C4⋊C4C2412yes—
394C2×C4⋊C4C2412yes—
395C2×C4⋊C4C2412yes—
396C2×C4⋊C4C2412yes—
397C2×C22⋊C4—22no—
398C2×C22⋊C4—22no—
399C2×C22⋊C4—22no—
400C2×C22⋊C4—22no—
401C2×C22⋊C4—22no—
402C2×C22⋊C4—22no—
403C2×C22⋊C4—22no—
404C2×C22⋊C4—22no—
405C2×C22⋊C4—22no—
406C2×C22⋊C4—22no—
407C2×C22⋊C4—22no—
408C2×C22⋊C4C2×D411yescharacteristic
409C2×C22⋊C4C2×D411yescharacteristic
410C2×C22⋊C4C2×D411yescharacteristic
411C2×C22⋊C4C2×D411yescharacteristic
412C2×C42—22no—
413C2×C42—22no—
414C2×C42—22no—
415C2×C42—22no—
416C2×C42—22no—
417C2×C42C2×D411yescharacteristic
418C2×C42C2×D411yescharacteristic
419C2×C42C2×D411yescharacteristic
420C2×C42C2×D411yescharacteristic
421C2×C42C2×D411yescharacteristic
422C2×C42C2×D411yescharacteristic
423C2×C42C2×D411yescharacteristic
424C2×C42C2×D411yescharacteristic
425C2×C42C2×D411yescharacteristic
426C2×C42C2×D414yes—
427C2×C42C2×D411yescharacteristic
428C2×C42#4114yes—
429C2×C42C2411yescharacteristic
430C2×C42C2411yescharacteristic
431C2×C42C2411yescharacteristic
432C2×C42C2411yescharacteristic
433C2×C42C2411yescharacteristic
434C2×C42C2411yescharacteristic
435C4⋊C8—24no—
436C4⋊C8—42no—
437C4⋊C8—42no—
438C4⋊C8—42no—
439C4⋊C8—42no—
440#103—28no—
441#103—28no—
442#103—28no—
443#103—44no—
444#103—44no—
445#102—28no—
446#102—28no—
447#102—28no—
448C22⋊C8—24no—
449C4×C8—22no—
450C4×C8—22no—
451C4×C8—24no—
452C4×C8—22no—
453C4×C8—22no—
454#95—22no—
455#95—22no—
456#95—22no—
457#95—22no—
458#95—22no—
459#95—22no—
460#95—22no—
461#95—22no—
462#95—22no—
463#95—22no—
464#95—22no—
465#95—22no—
466#95—22no—
467#95—22no—
468#95—22no—
469#95—22no—
470#95—22no—
471#95—22no—
472#95C2×D411yescharacteristic
473#95C2×D411yescharacteristic
474#95C2×D411yescharacteristic
475#95C2×D411yescharacteristic
476#95C2×D411yescharacteristic
477#95C2×D411yescharacteristic
478#95C2×D411yescharacteristic
479#95C2×D411yescharacteristic
480C24—22no—
481C24C22×D411yescharacteristic
482#41—416no—
483#41—88no—
484C2×Q8—22no—
485C2×Q8—22no—
486C2×Q8—22no—
487C2×Q8—24no—
488C2×Q8—24no—
489C2×Q8—24no—
490C2×Q8—24no—
491C2×Q8—42no—
492C2×Q8—42no—
493C2×Q8—42no—
494C2×Q8—42no—
495C2×Q8—42no—
496C2×Q8—42no—
497C2×Q8—42no—
498C2×Q8—42no—
499C2×Q8—42no—
500C2×Q8C22×D414yes—
501C2×D4—28no—
502C2×D4—24no—
503C2×D4—24no—
504C2×D4—22no—
505C2×D4—24no—
506C2×D4—24no—
507C2×D4—42no—
508C2×D4—42no—
509C2×D4—42no—
510C2×D4—42no—
511C2×D4—82no—
512C2×D4—82no—
513C2×D4C22×D414yes—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—28no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—44no—
529C22×C4—44no—
530C22×C4—82no—
531C22×C4—82no—
532C22×C4—82no—
533C22×C4—82no—
534C22×C4—82no—
535C22×C4—82no—
536C22×C4#12114yes—
537C22×C4#12114yes—
538C22×C4C22×D411yescharacteristic
539C22×C4C22×D411yescharacteristic
540C22×C4C22×D411yescharacteristic
541C22×C4C22×D411yescharacteristic
542C22×C4C22×D411yescharacteristic
543C22×C4C22×D411yescharacteristic
544C22×C4C22×D411yescharacteristic
545C22×C4C22×D411yescharacteristic
546C22×C4C22×D411yescharacteristic
547C22×C4C22×D412yes—
548C22×C4C22×D411yescharacteristic
549C22×C4C22×D411yescharacteristic
550C22×C4C22×D411yescharacteristic
551C22×C4C22×D411yescharacteristic
552C22×C4C2×#4112yes—
553C22×C4C2511yescharacteristic
554Q16—88no—
555SD16—88no—
556C2×C8—22no—
557C2×C8—22no—
558C2×C8—22no—
559C2×C8—22no—
560C2×C8—22no—
561C2×C8—22no—
562C2×C8—22no—
563C2×C8—22no—
564C2×C8—22no—
565C2×C8—22no—
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—48no—
569C4⋊C4—24no—
570C4⋊C4—24no—
571C4⋊C4—22no—
572C4⋊C4—22no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—22no—
577C4⋊C4—22no—
578C4⋊C4—22no—
579C4⋊C4—24no—
580C4⋊C4—24no—
581C4⋊C4—41no—
582C4⋊C4—41no—
583C4⋊C4—44no—
584C4⋊C4—44no—
585C4⋊C4—42no—
586C4⋊C4—42no—
587C4⋊C4—44no—
588C4⋊C4—44no—
589C4⋊C4—44no—
590C4⋊C4—44no—
591C4⋊C4—42no—
592C4⋊C4—42no—
593C4⋊C4—42no—
594C4⋊C4—42no—
595C4⋊C4—44no—
596C4⋊C4—44no—
597C4⋊C4—42no—
598C4⋊C4—42no—
599C4⋊C4—42no—
600C4⋊C4—82no—
601C4⋊C4—82no—
602C22⋊C4—28no—
603C22⋊C4—28no—
604C22⋊C4—22no—
605C22⋊C4—22no—
606C22⋊C4—41no—
607C22⋊C4—41no—
608C22⋊C4—44no—
609C22⋊C4—44no—
610C22⋊C4—44no—
611C22⋊C4—44no—
612C22⋊C4—82no—
613C22⋊C4—82no—
614C22⋊C4—82no—
615C22⋊C4—82no—
616C22⋊C4—82no—
617C42—22no—
618C42—22no—
619C42—22no—
620C42—22no—
621C42—22no—
622C42—22no—
623C42—22no—
624C42—22no—
625C42—22no—
626C42—22no—
627C42—22no—
628C42—44no—
629C42—44no—
630C42—82no—
631C42—82no—
632C42—82no—
633C42#12114yes—
634C42#12114yes—
635C42#13514yes—
636C42C22×D412yes—
637C42C22×D412yes—
638C42C2×#4112yes—
639C42C2×#4112yes—
640C23—21no—
641C23—21no—
642C23—21no—
643C23—21no—
644C23—21no—
645C23—21no—
646C23—24no—
647C23—42no—
648C23—42no—
649C23—42no—
650C23—42no—
651C23—42no—
652C23—42no—
653C23C2×#12112yes—
654C23C23×D411yescharacteristic
655Q8—28no—
656Q8—44no—
657Q8—44no—
658Q8—44no—
659Q8—84no—
660Q8—84no—
661Q8—84no—
662D4—28no—
663D4—44no—
664D4—48no—
665D4—48no—
666D4—88no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—24no—
678C2×C4—24no—
679C2×C4—28no—
680C2×C4—28no—
681C2×C4—24no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—21no—
695C2×C4—21no—
696C2×C4—21no—
697C2×C4—21no—
698C2×C4—21no—
699C2×C4—21no—
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—42no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—88no—
721C2×C4—164no—
722C2×C4—164no—
723C2×C4C2×#12112yes—
724C2×C4C2×#12112yes—
725C2×C4C2×#12112yes—
726C2×C4C2×#12112yes—
727C2×C4C2×#12112yes—
728C2×C4C2×#13512yes—
729C2×C4C2×#13512yes—
730C2×C4C2×#13512yes—
731C2×C4#57512yes—
732C2×C4#57712yes—
733C2×C4#57812yes—
734C2×C4C23×D411yescharacteristic
735C2×C4C22×#4111yescharacteristic
736C2×C4#58512yes—
737C2×C4#58512yes—
738C8—42no—
739C8—42no—
740C8—42no—
741C8—42no—
742C22—22no—
743C22—22no—
744C22—22no—
745C22—41no—
746C22—41no—
747C22—41no—
748C22—41no—
749C22—44no—
750C22—44no—
751C22—44no—
752C22—82no—
753C22—82no—
754C22—82no—
755C22—82no—
756C22C22×#12111yescharacteristic
757C22#350011yescharacteristic
758C22#350011yescharacteristic
759C22C22×#13511yescharacteristic
760C22C2×#57511yescharacteristic
761C22C2×#57711yescharacteristic
762C22C2×#57811yescharacteristic
763C4—22no—
764C4—22no—
765C4—22no—
766C4—22no—
767C4—22no—
768C4—44no—
769C4—41no—
770C4—41no—
771C4—41no—
772C4—41no—
773C4—41no—
774C4—41no—
775C4—82no—
776C4—82no—
777C4—82no—
778C4—82no—
779C4—82no—
780C4—82no—
781C4#303514yes—
782C4#304614yes—
783C4#348512yes—
784C4#351012yes—
785C2—42no—
786C2—84no—
787C2#3561711yescharacteristic
788C2C2×#303511yescharacteristic
789C2C2×#304611yescharacteristic
790C2#6252811yescharacteristic
791C2#6253111yescharacteristic
792C2#6254411yescharacteristic
793C2#6254511yescharacteristic
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
3. #35322C2semidirect
5. #28719C2semidirect
6. #28718C2semidirect
7. #28717C2semidirect
8. #28716C2semidirect
9. #28616C2semidirect
10. #28616C2semidirect
11. #28613C2semidirect
12. #28613C2semidirect
13. #25329C2semidirect
14. #25328C2semidirect
15. #24536C2semidirect
16. #24534C2semidirect
17. #21835C2semidirect
18. #21400C2semidirect
19. #21349C2semidirect

Maximal subgroups

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

subgroupindex
C2×#32102
C2×#31312
#353222
#342262
#287192
#287182
#287172
#287162
#286162
#286132
#253292
#253282
#245362
#245342
#218352
#214002
#213492