Finite Group Databasebeta

← #6461213

Subgroups — #6461213

Order 512.

2170 conjugacy classes of subgroups.

The subgroup lattice has 778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#34204C211yesmaximal, characteristic
2C2×#2317C211yesmaximal, characteristic, complemented
3#29249C214yesmaximal, complemented
4#29247C214yesmaximal, complemented
5#29238C212yesmaximal, complemented
6#29237C212yesmaximal, complemented
7#29235C212yesmaximal, complemented
8#29234C212yesmaximal, complemented
9#23671C212yesmaximal, complemented
10#23612C212yesmaximal, complemented
11#21039C212yesmaximal, complemented
12#20912C211yesmaximal, characteristic
13C2×#1874C211yesmaximal, characteristic
14#20876C212yesmaximal, complemented
15#20844C211yesmaximal, characteristic, complemented
16#20843C211yesmaximal, characteristic, complemented
17#20628C211yesmaximal, characteristic, complemented
18C22×#121C2211yescharacteristic
19C2×#518C2211yescharacteristic
20C22×#117C2211yescharacteristic
21C22×#117C2211yescharacteristic
22C23×C4⋊C4C2211yescharacteristic
23C2×#428C2212yes—
24C2×#427C2212yes—
25C2×#424C2212yes—
26C2×#418C2212yes—
27C22×#102C2212yes—
28C2×#407C2211yescharacteristic
29C22×C22⋊C8C2211yescharacteristic
30#2363—21no—
31#2363—21no—
32#2361—21no—
33#2361—21no—
34#2342—22no—
35D4×C22⋊C4—22no—
36#2324C2212yes—
37#2324C2212yes—
38#2317—22no—
39#2317—21no—
40#2317—21no—
41#2317C2212yes—
42#2317C2212yes—
43#2317C2214yescomplemented
44#2316C2211yescharacteristic
45#2309C2211yescharacteristic
46C4×#121C2212yes—
47C4×#121C2212yes—
48C2×#389C2212yescomplemented
49C2×#389C2212yescomplemented
50C2×#385—22no—
51C2×#384—21no—
52C2×#382—21no—
53#2280C2211yescharacteristic
54#2274C2211yescharacteristic
55#2088C2214yescomplemented
56#2088C2214yescomplemented
57#2087C2214yescomplemented
58#2086C2214yescomplemented
59#2067C2214yescomplemented
60#2067C2214yescomplemented
61#2065C2214yescomplemented
62#2065C2214yescomplemented
63#1921C2214yescomplemented
64#1920C2214yescomplemented
65#1919C2214yescomplemented
66#1918C2214yescomplemented
67#1875C2214yes—
68#1874C2212yes—
69#1874C2212yes—
70#1874C2212yes—
71#1874C2212yes—
72#1874C2214yes—
73#1864C2214yescomplemented
74#1864C2214yescomplemented
75#1862C2214yescomplemented
76#1862C2214yescomplemented
77#1854C2212yescomplemented
78#1854C2212yescomplemented
79#1853C2211yescharacteristic, complemented
80#1853C2212yescomplemented
81#1853C2211yescharacteristic, complemented
82#1853C2212yescomplemented
83#1852C2211yescharacteristic, complemented
84#1852C2212yescomplemented
85#1852C2211yescharacteristic, complemented
86#1852C2212yescomplemented
87#1798C2214yescomplemented
88#1797C2212yescomplemented
89#1797C2212yescomplemented
90#1736C2212yes—
91#1736C2212yes—
92#1735C2212yes—
93C2×#340C2212yes—
94#1729C2212yes—
95C23×D4—21no—
96C23×D4C2311yescharacteristic
97C24×C4—21no—
98C24×C4C2311yescharacteristic
99C22×M16C2312yes—
100C23×C8C2312yes—
101C2×#121—21no—
102C2×#121—21no—
103C2×#121—24no—
104C2×#121Q818yes—
105C2×#121C2312yes—
106C2×#121C2312yes—
107#518—44no—
108C2×C4×D4—22no—
109C2×C4×D4—22no—
110C2×C4×D4—21no—
111C2×C4×D4—21no—
112C2×C4×D4C2312yes—
113C2×C4×D4C2312yes—
114C2×#117—21no—
115C2×#117—21no—
116C2×#117—28no—
117C2×#117—44no—
118C2×#117D412yes—
119C2×#117D411yescharacteristic
120C2×#117D411yescharacteristic
121C2×#117C2311yescharacteristic
122C2×#117C2311yescharacteristic
123C2×#117C2312yes—
124C2×#117C2312yes—
125C2×#117C2311yescharacteristic
126C2×#117C2311yescharacteristic
127C2×#117C2312yes—
128C22×C4⋊C4—21no—
129C22×C4⋊C4—21no—
130C22×C4⋊C4—21no—
131C22×C4⋊C4—22no—
132C22×C4⋊C4—22no—
133C22×C4⋊C4—44no—
134C22×C4⋊C4D411yescharacteristic
135C22×C4⋊C4D411yescharacteristic
136C22×C4⋊C4C2312yes—
137C22×C4⋊C4C2311yescharacteristic
138C22×C4⋊C4C2311yescharacteristic
139C22×C4⋊C4C2311yescharacteristic
140C22×C4⋊C4C2312yes—
141C22×C4⋊C4C2312yes—
142C22×C22⋊C4—21no—
143C22×C22⋊C4—21no—
144C22×C22⋊C4—22no—
145C22×C22⋊C4D412yes—
146C22×C42—21no—
147C22×C42C2312yes—
148#428—44no—
149#427—28no—
150C2×#107C2312yes—
151C2×#107C2312yes—
152C2×#107C2314yes—
153C2×#106C2312yes—
154C2×#106C2312yes—
155C2×#106C2314yes—
156#424—44no—
157C2×C4⋊C8C2314yes—
158C2×C4⋊C8C2314yes—
159#418—28no—
160C2×#102—44no—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165#407—24no—
166C2×C22⋊C8—24no—
167C2×C22⋊C8C2311yescharacteristic
168C2×C22⋊C8C2312yes—
169C2×C22⋊C8C2311yescharacteristic
170C2×C22⋊C8C2312yes—
171C2×C22⋊C8C2312yes—
172#390—21no—
173#390—21no—
174#390—22no—
175#390—22no—
176#390C2312yes—
177#390C2312yes—
178#389—21no—
179#389—21no—
180#389—22no—
181#389—22no—
182#389—22no—
183#389—22no—
184#389C2312yes—
185#389C2312yes—
186#389C2314yes—
187#389C2314yes—
188#389C2314yes—
189#389C2314yes—
190#388—22no—
191#388—22no—
192#388—22no—
193#388—22no—
194#386—22no—
195#386—22no—
196#386—22no—
197#386—22no—
198#385—22no—
199#385—22no—
200#385—24no—
201#385—24no—
202#385—24no—
203#385—24no—
204#384—22no—
205#384—22no—
206#384—24no—
207#382—22no—
208#382—22no—
209#382—24no—
210#381—21no—
211#380—22no—
212#380C2311yescharacteristic
213#380C2311yescharacteristic
214#380C2311yescharacteristic
215#380C2311yescharacteristic
216#379—21no—
217#379—22no—
218C4×C4⋊C4—21no—
219C4×C4⋊C4—21no—
220C4×C4⋊C4C2312yes—
221C4×C4⋊C4C2312yes—
222C4×C22⋊C4—21no—
223C4×C22⋊C4—21no—
224C4×C22⋊C4—22no—
225C4×C22⋊C4—22no—
226C4×C22⋊C4—22no—
227C2×#95—22no—
228C2×#95—22no—
229#340C2314yes—
230#340C2314yes—
231#340C2312yes—
232#340C2314yes—
233#340C2314yes—
234#340C2312yes—
235#340C2314yes—
236#340C2314yes—
237#340C2312yes—
238#340C2312yes—
239#336C2314yes—
240#336C2314yes—
241C25—21no—
242C25C2×D411yescharacteristic
243C22×D4—22no—
244C22×D4—28no—
245C22×D4—22no—
246C22×D4—21no—
247C22×D4—24no—
248C22×D4—22no—
249C22×D4—24no—
250C22×D4—82no—
251C22×D4—82no—
252C22×D4C2×Q814yes—
253C22×D4C2412yes—
254C23×C4—24no—
255C23×C4—24no—
256C23×C4—21no—
257C23×C4—21no—
258C23×C4—21no—
259C23×C4—22no—
260C23×C4—22no—
261C23×C4—22no—
262C23×C4—22no—
263C23×C4—22no—
264C23×C4—44no—
265C23×C4—82no—
266C23×C4—82no—
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D412yes—
271C23×C4C2×D412yes—
272C23×C4C2×Q814yes—
273C23×C4#4114yes—
274C23×C4C2411yescharacteristic
275C23×C4C2411yescharacteristic
276C23×C4C2411yescharacteristic
277C2×M16—24no—
278C2×M16—24no—
279C2×M16—24no—
280C22×C8—24no—
281C22×C8—24no—
282C22×C8—24no—
283C22×C8C2412yes—
284C22×C8C2412yes—
285C22×C8C2414yes—
286#121—28no—
287#121—28no—
288#121—24no—
289#121—24no—
290#121C2×Q818yes—
291#121C2×Q818yes—
292C4×D4—44no—
293C4×D4—44no—
294C4×D4—44no—
295C4×D4—44no—
296C4×D4—84no—
297C4×D4—84no—
298#117—28no—
299#117—28no—
300#117—24no—
301#117—24no—
302#117—24no—
303#117—24no—
304#117—24no—
305#117—24no—
306#117—24no—
307#117—44no—
308#117—44no—
309#117—42no—
310#117—42no—
311#117#4118yes—
312C2×C4⋊C4—21no—
313C2×C4⋊C4—21no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—24no—
317C2×C4⋊C4—24no—
318C2×C4⋊C4—24no—
319C2×C4⋊C4—24no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—24no—
326C2×C4⋊C4—24no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—44no—
330C2×C4⋊C4—44no—
331C2×C4⋊C4—42no—
332C2×C4⋊C4—42no—
333C2×C4⋊C4—44no—
334C2×C4⋊C4—44no—
335C2×C4⋊C4—44no—
336C2×C4⋊C4—84no—
337C2×C4⋊C4—84no—
338C2×C4⋊C4C2×D411yescharacteristic
339C2×C4⋊C4C2×D411yescharacteristic
340C2×C4⋊C4C2×D411yescharacteristic
341C2×C4⋊C4C2×D411yescharacteristic
342C2×C4⋊C4C2×D412yes—
343C2×C4⋊C4C2×D412yes—
344C2×C4⋊C4C2×Q814yes—
345C2×C4⋊C4C2414yes—
346C2×C4⋊C4C2411yescharacteristic
347C2×C4⋊C4C2411yescharacteristic
348C2×C4⋊C4C2411yescharacteristic
349C2×C4⋊C4C2411yescharacteristic
350C2×C4⋊C4C2412yes—
351C2×C4⋊C4C2412yes—
352C2×C4⋊C4C2412yes—
353C2×C22⋊C4—28no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—28no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—21no—
360C2×C22⋊C4—21no—
361C2×C22⋊C4—21no—
362C2×C22⋊C4—21no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—21no—
366C2×C22⋊C4—21no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—44no—
372C2×C22⋊C4—48no—
373C2×C22⋊C4C2×D412yes—
374C2×C22⋊C4C2×D412yes—
375C2×C22⋊C4C2×D412yes—
376C2×C22⋊C4C2×D412yes—
377C2×C42—28no—
378C2×C42—22no—
379C2×C42—22no—
380C2×C42—21no—
381C2×C42—21no—
382C2×C42—22no—
383C2×C42—22no—
384C2×C42—44no—
385C2×C42C2×D412yes—
386C2×C42C2×D412yes—
387C2×C42C2412yes—
388C2×C42C2412yes—
389#107—24no—
390#107—24no—
391#107—44no—
392#106—24no—
393#106—24no—
394#106—44no—
395C4⋊C8—44no—
396C4⋊C8—44no—
397#102—28no—
398#102—28no—
399#102—44no—
400#102—44no—
401C22⋊C8—22no—
402C22⋊C8—22no—
403C22⋊C8—24no—
404C22⋊C8—24no—
405C22⋊C8—24no—
406#95—24no—
407#95—24no—
408#95—24no—
409#95—24no—
410#95—21no—
411#95—21no—
412#95—22no—
413#95—22no—
414#95—22no—
415#95—22no—
416#95—21no—
417#95—21no—
418C24—22no—
419C24—22no—
420C24—22no—
421C24—22no—
422C24—22no—
423C24—24no—
424C24—41no—
425C24—41no—
426C24—42no—
427C24—42no—
428C24—81no—
429C24—81no—
430C24—81no—
431C24—81no—
432C24C22⋊Q814yes—
433C24C22×D411yescharacteristic
434C24C22×D411yescharacteristic
435C24C22×D411yescharacteristic
436C2×D4—28no—
437C2×D4—28no—
438C2×D4—24no—
439C2×D4—216no—
440C2×D4—24no—
441C2×D4—22no—
442C2×D4—24no—
443C2×D4—44no—
444C2×D4—44no—
445C2×D4—42no—
446C2×D4—42no—
447C2×D4—48no—
448C2×D4—82no—
449C2×D4—82no—
450C2×D4—816no—
451C2×D4C22×Q814yes—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—216no—
459C22×C4—216no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—24no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—44no—
482C22×C4—44no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—44no—
488C22×C4—44no—
489C22×C4—44no—
490C22×C4—44no—
491C22×C4—44no—
492C22×C4—82no—
493C22×C4—82no—
494C22×C4—82no—
495C22×C4—82no—
496C22×C4—82no—
497C22×C4—82no—
498C22×C4—82no—
499C22×C4—82no—
500C22×C4—81no—
501C22×C4—81no—
502C22×C4—816no—
503C22×C4C22⋊Q814yes—
504C22×C4C22⋊Q814yes—
505C22×C4C22⋊Q814yes—
506C22×C4C22×D412yes—
507C22×C4C22×D412yes—
508C22×C4C22×D412yes—
509C22×C4C22×D412yes—
510C22×C4C22×D411yescharacteristic
511C22×C4C22×D411yescharacteristic
512C22×C4C22×D411yescharacteristic
513C22×C4C22×Q812yes—
514C22×C4C22×Q812yes—
515C22×C4C22×Q812yes—
516C22×C4C2×#4112yes—
517C22×C4C2×#4112yes—
518C22×C4C2×#4112yes—
519C22×C4C2×#4114yes—
520C22×C4H(5,𝔽2)14yes—
521C22×C4C2511yescharacteristic
522M16—48no—
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—24no—
526C2×C8—24no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—24no—
532C2×C8—48no—
533C4⋊C4—24no—
534C4⋊C4—24no—
535C4⋊C4—24no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—24no—
546C4⋊C4—22no—
547C4⋊C4—24no—
548C4⋊C4—22no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4—44no—
552C4⋊C4—44no—
553C4⋊C4—44no—
554C4⋊C4—84no—
555C4⋊C4—84no—
556C4⋊C4—84no—
557C4⋊C4—84no—
558C4⋊C4—82no—
559C4⋊C4—82no—
560C4⋊C4C22×Q814yes—
561C4⋊C4C2×#4114yes—
562C4⋊C4C2×#4114yes—
563C22⋊C4—28no—
564C22⋊C4—28no—
565C22⋊C4—24no—
566C22⋊C4—24no—
567C22⋊C4—28no—
568C22⋊C4—28no—
569C22⋊C4—42no—
570C22⋊C4—42no—
571C22⋊C4—44no—
572C22⋊C4—44no—
573C22⋊C4—42no—
574C22⋊C4—42no—
575C22⋊C4—42no—
576C22⋊C4—42no—
577C22⋊C4—82no—
578C22⋊C4—82no—
579C22⋊C4—82no—
580C22⋊C4—82no—
581C22⋊C4—81no—
582C22⋊C4—81no—
583C42—28no—
584C42—28no—
585C42—24no—
586C42—24no—
587C42—42no—
588C42—42no—
589C42—42no—
590C42—42no—
591C42—82no—
592C42—82no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—28no—
604C23—28no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—24no—
610C23—44no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—44no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—48no—
622C23—84no—
623C23—84no—
624C23—162no—
625C23—162no—
626C23—162no—
627C23—162no—
628C23C2×C22⋊Q812yes—
629C23C2×C22⋊Q812yes—
630C23C2×C22⋊Q812yes—
631C23#52512yes—
632C23#53412yes—
633C23#57612yes—
634C23#57712yes—
635C23C23×D411yescharacteristic
636D4—28no—
637D4—416no—
638D4—48no—
639D4—44no—
640D4—88no—
641C2×C4—28no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—28no—
647C2×C4—28no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—48no—
668C2×C4—48no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—44no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—44no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—44no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—84no—
691C2×C4—84no—
692C2×C4—84no—
693C2×C4—88no—
694C2×C4—88no—
695C2×C4—88no—
696C2×C4—164no—
697C2×C4—164no—
698C2×C4C2×C22⋊Q812yes—
699C2×C4C2×C22⋊Q812yes—
700C2×C4C2×C22⋊Q812yes—
701C2×C4#52512yes—
702C2×C4#53412yes—
703C2×C4#55318yes—
704C2×C4#55418yes—
705C2×C4C23×Q811yescharacteristic
706C2×C4C22×#4111yescharacteristic
707C2×C4C22×#4112yes—
708C2×C4C2×H(5,𝔽2)12yes—
709C8—42no—
710C8—42no—
711C8—44no—
712C22—22no—
713C22—22no—
714C22—22no—
715C22—22no—
716C22—22no—
717C22—22no—
718C22—22no—
719C22—22no—
720C22—22no—
721C22—22no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—416no—
728C22—41no—
729C22—41no—
730C22—41no—
731C22—41no—
732C22—44no—
733C22—44no—
734C22—44no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22—82no—
739C22—168no—
740C22#257914yes—
741C22#308114yes—
742C22C22×C22⋊Q811yescharacteristic
743C22C2×#52511yescharacteristic
744C22C2×#53411yescharacteristic
745C22C2×#57611yescharacteristic
746C22C2×#57711yescharacteristic
747C22#358511yescharacteristic
748C22#358611yescharacteristic
749C4—22no—
750C4—22no—
751C4—44no—
752C4—42no—
753C4—42no—
754C4—42no—
755C4—42no—
756C4—44no—
757C4—44no—
758C4—84no—
759C4—81no—
760C4—81no—
761C4—81no—
762C4—81no—
763C4#257914yes—
764C4C2×#55312yes—
765C4C2×#55412yes—
766C2—24no—
767C2—24no—
768C2—42no—
769C2—84no—
770C2C2×#257911yescharacteristic
771C2C2×#308111yescharacteristic
772C2#6049311yescharacteristic
773C2#6058411yescharacteristic
774C2#6058811yescharacteristic
775C2#6075611yescharacteristic
776C2#6075811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2317C2semidirect
3. #29249C2semidirect
4. #29247C2semidirect
5. #29238C2semidirect
6. #29237C2semidirect
7. #29235C2semidirect
8. #29234C2semidirect
9. #23671C2semidirect
10. #23612C2semidirect
11. #21039C2semidirect
14. #20876C2semidirect
15. #20844C2semidirect
16. #20843C2semidirect
17. #20628C2semidirect
43. #2317C22semidirect
48. C2×#389C22semidirect
49. C2×#389C22semidirect
55. #2088C22semidirect
56. #2088C22semidirect
57. #2087C22semidirect
58. #2086C22semidirect
59. #2067C22semidirect
60. #2067C22semidirect
61. #2065C22semidirect
62. #2065C22semidirect
63. #1921C22semidirect
64. #1920C22semidirect
65. #1919C22semidirect
66. #1918C22semidirect
73. #1864C22semidirect
74. #1864C22semidirect
75. #1862C22semidirect
76. #1862C22semidirect
77. #1854C22semidirect
78. #1854C22semidirect
79. #1853C22semidirect
80. #1853C22semidirect
81. #1853C22semidirect
82. #1853C22semidirect
83. #1852C22semidirect
84. #1852C22semidirect
85. #1852C22semidirect
86. #1852C22semidirect
87. #1798C22semidirect
88. #1797C22semidirect
89. #1797C22semidirect

Maximal subgroups

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

subgroupindex
#342042
C2×#23172
#292492
#292472
#292382
#292372
#292352
#292342
#236712
#236122
#210392
#209122
C2×#18742
#208762
#208442
#208432
#206282