Finite Group Databasebeta

← #385563

Subgroups — #385563

Order 512.

969 conjugacy classes of subgroups.

The subgroup lattice has 792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21147C211yesmaximal, characteristic, complemented
2C2×#1938C211yesmaximal, characteristic
3C2×#1929C211yesmaximal, characteristic
4#20872C211yesmaximal, characteristic
5#20629C211yesmaximal, characteristic
6#11326C211yesmaximal, characteristic, complemented
7#11291C211yesmaximal, characteristic, complemented
8#11221C211yesmaximal, characteristic, complemented
9#11209C211yesmaximal, characteristic, complemented
10#11125C211yesmaximal, characteristic
11#11068C211yesmaximal, characteristic
12#10910C211yesmaximal, characteristic, complemented
13#10877C211yesmaximal, characteristic, complemented
14#10860C211yesmaximal, characteristic, complemented
15#10790C211yesmaximal, characteristic
16C2×C4×#41C2211yescharacteristic
17C22×#108C2211yescharacteristic
18C22×#108C2211yescharacteristic
19C2×#427C2211yescharacteristic
20C2×#424C2211yescharacteristic
21C2×#424C2211yescharacteristic
22C2×#423C2211yescharacteristic
23C22×C4⋊C8C2211yescharacteristic
24C22×#104C2211yescharacteristic
25C22×#104C2211yescharacteristic
26C2×#416C2211yescharacteristic
27C2×#416C2211yescharacteristic
28C2×#408C2211yescharacteristic
29C2×#408C2211yescharacteristic
30C2×#405C2211yescharacteristic
31C22×#97C2211yescharacteristic
32#2296C2211yescharacteristic
33#1940—21no—
34#1940—21no—
35#1939—21no—
36#1939—21no—
37#1938—24no—
38#1929—24no—
39#1865C411yescharacteristic, complemented
40#1865C411yescharacteristic, complemented
41#1864C411yescharacteristic, complemented
42#1864C411yescharacteristic, complemented
43#1863C411yescharacteristic, complemented
44#1863C411yescharacteristic, complemented
45#1862C411yescharacteristic, complemented
46#1862C411yescharacteristic, complemented
47#1798—21no—
48#1798—21no—
49#1797—21no—
50#1797—21no—
51C2×#341C2211yescharacteristic
52C2×#341C2211yescharacteristic
53#1735C2211yescharacteristic
54C2×#339C2211yescharacteristic
55C2×#339C2211yescharacteristic
56C2×#339C2211yescharacteristic
57C2×#339C2211yescharacteristic
58C2×#339C2211yescharacteristic
59C2×#339C2211yescharacteristic
60#1729C2211yescharacteristic
61#1729C2211yescharacteristic
62#1729C2211yescharacteristic
63#1728C2211yescharacteristic
64C2×#336C2211yescharacteristic
65C2×#336C2211yescharacteristic
66C2×#336C2211yescharacteristic
67C2×#336C2211yescharacteristic
68C4×#95C2211yescharacteristic
69C22×#41C2311yescharacteristic
70C22×M16C2311yescharacteristic
71C22×M16C2311yescharacteristic
72C22×M16C2311yescharacteristic
73C22×M16C2311yescharacteristic
74C23×C8C2311yescharacteristic
75C23×C8C2311yescharacteristic
76C23×C8C2311yescharacteristic
77C23×C8C2311yescharacteristic
78C4×#41—41no—
79C4×#41—41no—
80C4×#41—41no—
81C4×#41—41no—
82C2×C4×Q8C2×C411yescharacteristic
83C2×C4×Q8C2×C411yescharacteristic
84C2×C4×D4—21no—
85C2×C4×D4—21no—
86C2×C4×D4C2×C411yescharacteristic
87C2×C4×D4C2×C411yescharacteristic
88C2×#117—21no—
89C2×#117C2311yescharacteristic
90C2×#117C2311yescharacteristic
91C2×#117C2311yescharacteristic
92C22×C42—21no—
93C22×C42C2311yescharacteristic
94C22×C42C2311yescharacteristic
95C22×C42C2311yescharacteristic
96C2×#108—22no—
97C2×#108—22no—
98C2×#108—22no—
99C2×#108—41no—
100C2×#108—41no—
101C2×#108—41no—
102#427—41no—
103#427—41no—
104C2×#107C2×C411yescharacteristic
105C2×#107C2×C411yescharacteristic
106C2×#106C2×C411yescharacteristic
107C2×#106C2×C411yescharacteristic
108#424—22no—
109#424—41no—
110#424—41no—
111#424—41no—
112#423—41no—
113#423—41no—
114C2×C4⋊C8—21no—
115C2×C4⋊C8—21no—
116C2×C4⋊C8—21no—
117C2×C4⋊C8—21no—
118C2×C4⋊C8—21no—
119C2×C4⋊C8—21no—
120C2×C4⋊C8—41no—
121C2×C4⋊C8—41no—
122C2×C4⋊C8D411yescharacteristic
123C2×C4⋊C8D411yescharacteristic
124C2×C4⋊C8D411yescharacteristic
125C2×C4⋊C8D411yescharacteristic
126C2×#104—22no—
127C2×#104—22no—
128C2×#104—22no—
129C2×#104—22no—
130C2×#104—41no—
131C2×#104—41no—
132#416—41no—
133#416—41no—
134#416D414yes—
135#416Q814yes—
136C2×#103C2×C411yescharacteristic
137C2×#103C2×C411yescharacteristic
138C2×#103C2×C411yescharacteristic
139C2×#103C2×C411yescharacteristic
140C2×#102C2×C411yescharacteristic
141C2×#102C2×C411yescharacteristic
142C2×#102C2×C411yescharacteristic
143C2×#102C2×C411yescharacteristic
144#408—22no—
145#408—22no—
146#408—41no—
147#408—41no—
148C2×C22⋊C8—21no—
149C2×C22⋊C8—21no—
150C2×C22⋊C8—21no—
151C2×C22⋊C8—21no—
152#405—22no—
153#405—41no—
154C2×#97—22no—
155C2×#97—21no—
156C2×#97—22no—
157C2×#97—41no—
158C2×C4×C8—21no—
159#389C2×C411yescharacteristic
160#389C2×C411yescharacteristic
161#389C2×C411yescharacteristic
162#389C2×C411yescharacteristic
163#385—21no—
164#385—21no—
165C4×C4⋊C4—21no—
166C4×C4⋊C4—21no—
167C2×#95—21no—
168C2×#95—21no—
169#341—22no—
170#341—41no—
171#340C2×C411yescharacteristic
172#340C2×C411yescharacteristic
173#340C2×C411yescharacteristic
174#340C2×C411yescharacteristic
175#339—22no—
176#339—22no—
177#339—41no—
178#339—41no—
179#339—41no—
180#339—41no—
181#336—21no—
182#336—21no—
183#336—21no—
184#336—21no—
185#336—22no—
186#336—21no—
187#336—21no—
188#336—21no—
189#336—21no—
190#336—22no—
191#336—41no—
192#336C2×C411yescharacteristic
193#336C2×C411yescharacteristic
194#336C2×C411yescharacteristic
195#336C2×C411yescharacteristic
196C2×#41—21no—
197C2×#41—21no—
198C2×#41—21no—
199C2×#41—21no—
200C2×#41—21no—
201C2×#41—21no—
202C2×#41—21no—
203C2×#41—21no—
204C2×#41—21no—
205C2×#41—21no—
206C2×#41C2×D412yes—
207C2×#41C2×Q812yes—
208C22×Q8C22×C411yescharacteristic
209C22×D4—21no—
210C22×D4C22×C411yescharacteristic
211C23×C4—21no—
212C23×C4—21no—
213C23×C4—21no—
214C23×C4—21no—
215C23×C4—21no—
216C23×C4#4111yescharacteristic
217C23×C4#4111yescharacteristic
218C23×C4C2411yescharacteristic
219C2×M16—21no—
220C2×M16—21no—
221C2×M16—21no—
222C2×M16—21no—
223C2×M16—21no—
224C2×M16—21no—
225C2×M16—21no—
226C2×M16—21no—
227C2×M16—21no—
228C2×M16—21no—
229C2×M16—21no—
230C2×M16—21no—
231C2×M16—21no—
232C2×M16—21no—
233C2×M16—21no—
234C2×M16—21no—
235C2×M16—21no—
236C2×M16—21no—
237C2×M16—21no—
238C2×M16—21no—
239C2×M16—21no—
240C2×M16—21no—
241C2×M16—21no—
242C2×M16#4112yes—
243C22×C8—21no—
244C22×C8—21no—
245C22×C8—21no—
246C22×C8—21no—
247C22×C8—21no—
248C22×C8—21no—
249C22×C8—21no—
250C22×C8—21no—
251C22×C8—21no—
252C22×C8—21no—
253C22×C8—21no—
254C22×C8—21no—
255C22×C8—21no—
256C22×C8—21no—
257C22×C8—21no—
258C22×C8—21no—
259C22×C8—21no—
260C22×C8—21no—
261C22×C8—21no—
262C22×C8—21no—
263C22×C8—21no—
264C22×C8—21no—
265C22×C8—21no—
266C22×C8—21no—
267C22×C8—21no—
268C22×C8—21no—
269C22×C8C22×C411yescharacteristic
270C22×C8C22×C411yescharacteristic
271C22×C8C22×C411yescharacteristic
272C22×C8C22×C411yescharacteristic
273C22×C8C2×D411yescharacteristic
274C22×C8C2×D411yescharacteristic
275C22×C8C2×D411yescharacteristic
276C22×C8C2×D411yescharacteristic
277C22×C8C2×D412yes—
278C22×C8C2×Q812yes—
279C4×Q8—41no—
280C4×Q8—41no—
281C4×Q8—41no—
282C4×Q8—41no—
283C4×D4—41no—
284C4×D4—41no—
285C4×D4—41no—
286C4×D4—41no—
287C4×D4—42no—
288C4×D4—42no—
289C4×D4—42no—
290C4×D4—42no—
291#117—21no—
292#117—21no—
293#117—21no—
294#117—21no—
295#117—21no—
296#117—21no—
297#117—21no—
298#117—21no—
299#117—21no—
300#117—21no—
301#117—42no—
302#117—42no—
303#117C2×D412yes—
304#117C2×Q812yes—
305C2×C4⋊C4—21no—
306C2×C4⋊C4—21no—
307C2×C4⋊C4—21no—
308C2×C4⋊C4—21no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4C22×C411yescharacteristic
312C2×C4⋊C4C22×C411yescharacteristic
313C2×C4⋊C4C22×C411yescharacteristic
314C2×C4⋊C4C22×C411yescharacteristic
315C2×C4⋊C4C22×C411yescharacteristic
316C2×C4⋊C4C22×C411yescharacteristic
317C2×C22⋊C4—21no—
318C2×C22⋊C4—21no—
319C2×C22⋊C4—21no—
320C2×C22⋊C4—21no—
321C2×C22⋊C4—21no—
322C2×C42—21no—
323C2×C42—21no—
324C2×C42—21no—
325C2×C42—21no—
326C2×C42—21no—
327C2×C42—21no—
328C2×C42—21no—
329C2×C42—21no—
330C2×C42—21no—
331C2×C42—21no—
332C2×C42—21no—
333C2×C42—21no—
334C2×C42—21no—
335C2×C42—21no—
336C2×C42—21no—
337C2×C42—21no—
338C2×C42—21no—
339C2×C42—21no—
340C2×C42—21no—
341C2×C42—21no—
342C2×C42—42no—
343C2×C42—42no—
344C2×C42C22×C411yescharacteristic
345C2×C42C22×C411yescharacteristic
346C2×C42C2×D411yescharacteristic
347C2×C42C2×D411yescharacteristic
348C2×C42#4112yes—
349#108—44no—
350#108—44no—
351#107—41no—
352#107—41no—
353#106—41no—
354#106—41no—
355C4⋊C8—41no—
356C4⋊C8—41no—
357C4⋊C8—41no—
358C4⋊C8—41no—
359C4⋊C8—42no—
360C4⋊C8—42no—
361C4⋊C8—42no—
362C4⋊C8—42no—
363C4⋊C8—42no—
364C4⋊C8—42no—
365#104—44no—
366#104—44no—
367#103—41no—
368#103—41no—
369#103C4⋊C414yes—
370#103C4⋊C414yes—
371#102—41no—
372#102—41no—
373#102C4⋊C414yes—
374#102C4⋊C414yes—
375C22⋊C8—42no—
376C22⋊C8—42no—
377C22⋊C8—42no—
378C22⋊C8—42no—
379#97—44no—
380#97—42no—
381C4×C8—42no—
382#95—21no—
383#95—21no—
384#95—21no—
385#95—21no—
386#95—42no—
387#95—42no—
388C24—21no—
389C24C2×#4111yescharacteristic
390#41—22no—
391#41—22no—
392#41—22no—
393#41—22no—
394#41—22no—
395#41—22no—
396#41—22no—
397#41—22no—
398#41—41no—
399#41—41no—
400#41—41no—
401#41—41no—
402#41—41no—
403#41—41no—
404#41—41no—
405#41—41no—
406C2×Q8—21no—
407C2×Q8—21no—
408C2×Q8—21no—
409C2×Q8—21no—
410C2×Q8—21no—
411C2×Q8C2×C4⋊C412yes—
412C2×D4—22no—
413C2×D4—22no—
414C2×D4—21no—
415C2×D4—21no—
416C2×D4—21no—
417C2×D4—21no—
418C2×D4—21no—
419C2×D4—41no—
420C2×D4—41no—
421C2×D4—41no—
422C2×D4—41no—
423C2×D4C2×C4⋊C412yes—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—22no—
440C22×C4—41no—
441C22×C4—41no—
442C22×C4—41no—
443C22×C4—42no—
444C22×C4—42no—
445C22×C4—42no—
446C22×C4—41no—
447C22×C4—41no—
448C22×C4—41no—
449C22×C4—41no—
450C22×C4—41no—
451C22×C4—41no—
452C22×C4—41no—
453C22×C4—41no—
454C22×C4—41no—
455C22×C4—41no—
456C22×C4—41no—
457C22×C4—41no—
458C22×C4—41no—
459C22×C4—41no—
460C22×C4—41no—
461C22×C4—41no—
462C22×C4—42no—
463C22×C4—81no—
464C22×C4—81no—
465C22×C4C4×D411yescharacteristic
466C22×C4C4×D411yescharacteristic
467C22×C4C4×D411yescharacteristic
468C22×C4C4×D411yescharacteristic
469C22×C4C23×C411yescharacteristic
470C22×C4C22×D411yescharacteristic
471C22×C4C22×D411yescharacteristic
472C22×C4C22×Q811yescharacteristic
473C22×C4C2×#4111yescharacteristic
474C22×C4C2×#4111yescharacteristic
475C22×C4H(5,𝔽2)11yescharacteristic
476C22×C4H(5,𝔽2)11yescharacteristic
477C22×C4H(5,𝔽2)11yescharacteristic
478C22×C4H(5,𝔽2)11yescharacteristic
479C22×C4H(5,𝔽2)11yescharacteristic
480C22×C42−1+411yescharacteristic
481C22×C42−1+411yescharacteristic
482C22×C42−1+411yescharacteristic
483M16—22no—
484M16—22no—
485M16—41no—
486M16—41no—
487M16—41no—
488M16—41no—
489M16—41no—
490M16—41no—
491M16—41no—
492M16—41no—
493M16—41no—
494M16—41no—
495M16—41no—
496M16—41no—
497M16—41no—
498M16—41no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—22no—
504C2×C8—22no—
505C2×C8—22no—
506C2×C8—22no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—22no—
526C2×C8—41no—
527C2×C8—41no—
528C2×C8—41no—
529C2×C8—41no—
530C2×C8—41no—
531C2×C8—41no—
532C2×C8—41no—
533C2×C8—41no—
534C2×C8—41no—
535C2×C8—41no—
536C2×C8—41no—
537C2×C8—41no—
538C2×C8—41no—
539C2×C8—41no—
540C2×C8—41no—
541C2×C8—41no—
542C2×C8—41no—
543C2×C8—41no—
544C2×C8—41no—
545C2×C8—41no—
546C2×C8—41no—
547C2×C8—41no—
548C2×C8—41no—
549C2×C8C2×C4⋊C412yes—
550C2×C8C2×C4⋊C412yes—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—81no—
566C4⋊C4—81no—
567C4⋊C4C2×C4⋊C412yes—
568C4⋊C4C2×C4⋊C412yes—
569C22⋊C4—22no—
570C22⋊C4—22no—
571C22⋊C4—42no—
572C22⋊C4—42no—
573C22⋊C4—41no—
574C22⋊C4—41no—
575C22⋊C4—41no—
576C22⋊C4—41no—
577C42—21no—
578C42—21no—
579C42—21no—
580C42—21no—
581C42—21no—
582C42—21no—
583C42—21no—
584C42—21no—
585C42—22no—
586C42—22no—
587C42—22no—
588C42—22no—
589C42—42no—
590C42—42no—
591C42—41no—
592C42—41no—
593C42—41no—
594C42—41no—
595C42—41no—
596C42—41no—
597C42—41no—
598C42—41no—
599C42—41no—
600C42—41no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—22no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23C2×C4×D411yescharacteristic
613C23#53811yescharacteristic
614C23#53811yescharacteristic
615C23#54711yescharacteristic
616C23#55211yescharacteristic
617C23#55411yescharacteristic
618C23#55611yescharacteristic
619Q8—22no—
620Q8—22no—
621Q8—41no—
622Q8—41no—
623D4—22no—
624D4—22no—
625D4—42no—
626D4—42no—
627D4—42no—
628D4—42no—
629D4—41no—
630D4—41no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—42no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—84no—
676C2×C4—81no—
677C2×C4—81no—
678C2×C4—84no—
679C2×C4—81no—
680C2×C4—81no—
681C2×C4—81no—
682C2×C4—81no—
683C2×C4—81no—
684C2×C4—81no—
685C2×C4—81no—
686C2×C4—81no—
687C2×C4#44412yes—
688C2×C4C22×C4⋊C411yescharacteristic
689C2×C4C4×#4111yescharacteristic
690C2×C4#51811yescharacteristic
691C2×C4#51811yescharacteristic
692C2×C4#51911yescharacteristic
693C2×C4#52011yescharacteristic
694C2×C4#53411yescharacteristic
695C2×C4#53511yescharacteristic
696C2×C4#53711yescharacteristic
697C2×C4#53711yescharacteristic
698C2×C4#53811yescharacteristic
699C2×C4#53911yescharacteristic
700C2×C4#54011yescharacteristic
701C2×C4#54211yescharacteristic
702C2×C4#54411yescharacteristic
703C2×C4#54411yescharacteristic
704C2×C4D4211yescharacteristic
705C2×C4#54611yescharacteristic
706C2×C4#54611yescharacteristic
707C2×C4#54711yescharacteristic
708C2×C4#54811yescharacteristic
709C2×C4D4×Q811yescharacteristic
710C2×C4#55411yescharacteristic
711C2×C4#55411yescharacteristic
712C2×C4#56211yescharacteristic
713C2×C4#56211yescharacteristic
714C2×C4#56311yescharacteristic
715C2×C4#56311yescharacteristic
716C8—22no—
717C8—22no—
718C8—41no—
719C8—41no—
720C8—41no—
721C8—41no—
722C8—41no—
723C8—41no—
724C8—42no—
725C8—81no—
726C8—81no—
727C8—81no—
728C22—21no—
729C22—21no—
730C22—21no—
731C22—21no—
732C22—21no—
733C22—21no—
734C22—21no—
735C22—21no—
736C22—21no—
737C22—21no—
738C22—21no—
739C22—21no—
740C22—42no—
741C22—42no—
742C22—42no—
743C22—81no—
744C22—81no—
745C22—81no—
746C22—81no—
747C22#232111yescharacteristic
748C22D4×C4⋊C411yescharacteristic
749C22#236211yescharacteristic
750C22#269511yescharacteristic
751C22#271511yescharacteristic
752C22#276811yescharacteristic
753C22#278811yescharacteristic
754C22C2×#44411yescharacteristic
755C22#295511yescharacteristic
756C22#295611yescharacteristic
757C22#295711yescharacteristic
758C4—22no—
759C4—41no—
760C4—41no—
761C4—41no—
762C4—42no—
763C4—42no—
764C4—42no—
765C4—82no—
766C4—82no—
767C4—81no—
768C4—81no—
769C4—81no—
770C4—81no—
771C4#231611yescharacteristic
772C4#233511yescharacteristic
773C4#234911yescharacteristic
774C4#237811yescharacteristic
775C4#267111yescharacteristic
776C4#267611yescharacteristic
777C4#272011yescharacteristic
778C4#272911yescharacteristic
779C2—21no—
780C2—21no—
781C2—21no—
782C2—21no—
783C2—82no—
784C2#1440811yescharacteristic
785C2#2206111yescharacteristic
786C2#2206211yescharacteristic
787C2#2268611yescharacteristic
788C2#2268711yescharacteristic
789C2#2308111yescharacteristic
790C2#2308211yescharacteristic
subgroupG/H
centerC22×C4C22×D4
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
socleC23C2×C4×D4
prime radicalC22×#41C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C4 ◁ C22×C4⋊C8 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #21147C2semidirect
6. #11326C2semidirect
7. #11291C2semidirect
8. #11221C2semidirect
9. #11209C2semidirect
12. #10910C2semidirect
13. #10877C2semidirect
14. #10860C2semidirect
39. #1865C4semidirect
40. #1865C4semidirect
41. #1864C4semidirect
42. #1864C4semidirect
43. #1863C4semidirect
44. #1863C4semidirect
45. #1862C4semidirect
46. #1862C4semidirect

Maximal subgroups

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

subgroupindex
#211472
C2×#19382
C2×#19292
#208722
#206292
#113262
#112912
#112212
#112092
#111252
#110682
#109102
#108772
#108602
#107902