Finite Group Databasebeta

← #6453170

Subgroups — #6453170

Order 512.

2248 conjugacy classes of subgroups.

The subgroup lattice has 785 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3094C211yesmaximal, characteristic
2C2×#2924C211yesmaximal, characteristic, complemented
3#35262C211yesmaximal, characteristic
4C2×#2316C211yesmaximal, characteristic, complemented
5#24617C214yesmaximal, complemented
6#24615C214yesmaximal, complemented
7#24608C212yesmaximal, complemented
8#24607C212yesmaximal, complemented
9#24603C212yesmaximal, complemented
10#24600C212yesmaximal, complemented
11#23671C212yesmaximal, complemented
12#23614C212yesmaximal, complemented
13#21160C212yesmaximal, complemented
14#21089C212yesmaximal, complemented
15C2×#1874C211yesmaximal, characteristic
16#20844C211yesmaximal, characteristic, complemented
17#20699C211yesmaximal, characteristic, complemented
18C22×#121C2211yescharacteristic
19C22×#117C2211yescharacteristic
20C22×#117C2211yescharacteristic
21C23×C4⋊C4C2211yescharacteristic
22#3094—28no—
23C2×#481C2212yes—
24C2×#482C2214yes—
25C2×#480C2212yes—
26#2924—28no—
27C2×#433C2214yescomplemented
28C2×#432C2212yescomplemented
29C2×#431C2212yescomplemented
30C2×#428C2212yes—
31C2×#428C2212yes—
32C2×#424C2212yes—
33C2×#418C2212yes—
34C22×#102C2212yes—
35C2×#407C2211yescharacteristic
36C22×C22⋊C8C2211yescharacteristic
37C2×#405C2212yes—
38#2854C2212yes—
39#2854C2212yes—
40#2624C2212yes—
41#2624C2212yes—
42#2504—21no—
43#2501—21no—
44#2500—21no—
45#2500—21no—
46#2482—22no—
47#2405—22no—
48#2317C2211yescharacteristic
49#2317C2211yescharacteristic
50#2316—22no—
51#2316—21no—
52#2316—21no—
53#2316C2212yes—
54#2316C2212yes—
55#2316C2214yescomplemented
56#2309C2211yescharacteristic
57#2309C2211yescharacteristic
58C2×#389—21no—
59C2×#389—21no—
60C2×#389C2212yescomplemented
61C2×#389C2212yescomplemented
62#2280C2211yescharacteristic
63C2×#380—22no—
64#2088C2214yescomplemented
65#2088C2214yescomplemented
66#2087C2214yescomplemented
67#2086C2214yescomplemented
68#2067C2214yescomplemented
69#2067C2214yescomplemented
70#2065C2214yescomplemented
71#2065C2214yescomplemented
72#1944C2214yescomplemented
73#1943C2214yescomplemented
74#1942C2214yescomplemented
75#1941C2214yescomplemented
76#1936C2214yescomplemented
77#1936C2214yescomplemented
78#1934C2214yescomplemented
79#1934C2214yescomplemented
80#1874C2212yes—
81#1874C2212yes—
82#1874C2214yes—
83#1853C2212yescomplemented
84#1853C2212yescomplemented
85#1852C2212yescomplemented
86#1852C2212yescomplemented
87#1825C2212yescomplemented
88#1825C2212yescomplemented
89#1824C2211yescharacteristic, complemented
90#1824C2211yescharacteristic, complemented
91#1823C2211yescharacteristic, complemented
92#1823C2211yescharacteristic, complemented
93#1736C2212yes—
94#1735C2212yes—
95#1735C2212yes—
96C2×#340C2212yes—
97C23×D4—21no—
98C23×D4C2311yescharacteristic
99C24×C4—21no—
100C24×C4C2311yescharacteristic
101C22×M16C2312yes—
102C23×C8C2312yes—
103C2×#123—22no—
104C2×#123—22no—
105C2×#121—21no—
106C2×#121—21no—
107C2×#121—24no—
108C2×#121—24no—
109C2×#121C2312yes—
110C2×#121C2312yes—
111C2×#117—24no—
112C2×#117—24no—
113C2×#117—21no—
114C2×#117—21no—
115C2×#117—24no—
116C2×#117—24no—
117C2×#117D412yes—
118C2×#117D411yescharacteristic
119C2×#117D411yescharacteristic
120C2×#117C2311yescharacteristic
121C2×#117C2311yescharacteristic
122C2×#117C2312yes—
123C2×#117C2312yes—
124C2×#117C2311yescharacteristic
125C2×#117C2311yescharacteristic
126C2×#117C2312yes—
127C22×C4⋊C4—21no—
128C22×C4⋊C4—21no—
129C22×C4⋊C4—21no—
130C22×C4⋊C4—28no—
131C22×C4⋊C4—22no—
132C22×C4⋊C4—22no—
133C22×C4⋊C4D411yescharacteristic
134C22×C4⋊C4D411yescharacteristic
135C22×C4⋊C4C2312yes—
136C22×C4⋊C4C2311yescharacteristic
137C22×C4⋊C4C2311yescharacteristic
138C22×C4⋊C4C2311yescharacteristic
139C22×C4⋊C4C2312yes—
140C22×C4⋊C4C2312yes—
141C22×C22⋊C4—21no—
142C22×C22⋊C4—21no—
143C22×C22⋊C4D412yes—
144C22×C42—21no—
145C22×C42C2312yes—
146#482—216no—
147#481—28no—
148#480—28no—
149#433—216no—
150#432—28no—
151#431—28no—
152#428—28no—
153#428—28no—
154C2×#107C2314yes—
155C2×#107C2314yes—
156C2×#106C2314yes—
157C2×#106C2314yes—
158#424—28no—
159C2×C4⋊C8C2314yes—
160C2×C4⋊C8C2314yes—
161#418—28no—
162C2×#102—28no—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×#102C2314yes—
166C2×#102C2314yes—
167#407D418yes—
168C2×C22⋊C8—24no—
169C2×C22⋊C8C2311yescharacteristic
170C2×C22⋊C8C2311yescharacteristic
171C2×C22⋊C8C2312yes—
172C2×C22⋊C8C2312yes—
173C2×C22⋊C8C2312yes—
174#405—28no—
175C2×#97C2314yes—
176C2×C4×C8C2314yes—
177#399—22no—
178#399—22no—
179#397—22no—
180#397—22no—
181#394—22no—
182#394—22no—
183#394—22no—
184#394—22no—
185#390—21no—
186#390—21no—
187#390—21no—
188#390—21no—
189#390C2312yes—
190#390C2312yes—
191#390C2312yes—
192#390C2312yes—
193#389—22no—
194#389—22no—
195#389—22no—
196#389—22no—
197#389—24no—
198#389—24no—
199#389—22no—
200#389—22no—
201#389—22no—
202#389—22no—
203#389C2314yes—
204#389C2314yes—
205#389C2314yes—
206#389C2314yes—
207#389C2312yes—
208#389C2312yes—
209#389C2312yes—
210#389C2312yes—
211#388—22no—
212#388—22no—
213#388—22no—
214#388—22no—
215#386—22no—
216#386—22no—
217#385—22no—
218#385—22no—
219#384—21no—
220#384—21no—
221#382—21no—
222#382—21no—
223#381—21no—
224#380—24no—
225#380—24no—
226#380—24no—
227#380—24no—
228#380C2311yescharacteristic
229#380C2311yescharacteristic
230#380C2311yescharacteristic
231#380C2311yescharacteristic
232#379—21no—
233#379—22no—
234#379—22no—
235C4×C22⋊C4—21no—
236C4×C22⋊C4—21no—
237C2×#95—22no—
238C2×#95—22no—
239#340C2312yes—
240#340C2312yes—
241#340C2312yes—
242#340C2312yes—
243#340C2312yes—
244#340C2312yes—
245#340C2312yes—
246#340C2312yes—
247#340C2314yes—
248#340C2314yes—
249#340C2314yes—
250#340C2314yes—
251C25—21no—
252C25C2×D411yescharacteristic
253C22×D4—22no—
254C22×D4—22no—
255C22×D4—22no—
256C22×D4—21no—
257C22×D4—22no—
258C22×D4—24no—
259C22×D4—24no—
260C22×D4—44no—
261C22×D4—82no—
262C22×D4—82no—
263C22×D4C2412yes—
264C23×C4—24no—
265C23×C4—24no—
266C23×C4—22no—
267C23×C4—28no—
268C23×C4—22no—
269C23×C4—22no—
270C23×C4—21no—
271C23×C4—21no—
272C23×C4—21no—
273C23×C4—82no—
274C23×C4—82no—
275C23×C4C2×D412yes—
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D411yescharacteristic
279C23×C4C2×D414yes—
280C23×C4C2×D412yes—
281C23×C4#4114yes—
282C23×C4C2411yescharacteristic
283C23×C4C2411yescharacteristic
284C23×C4C2411yescharacteristic
285C2×M16—24no—
286C2×M16—24no—
287C2×M16C2×D418yes—
288C22×C8—24no—
289C22×C8—24no—
290C22×C8—24no—
291C22×C8C2412yes—
292C22×C8C2412yes—
293C22×C8C2414yes—
294#123—84no—
295#123—84no—
296#121—24no—
297#121—24no—
298#121—24no—
299#121—24no—
300#121—44no—
301#121—44no—
302#117—28no—
303#117—24no—
304#117—24no—
305#117—22no—
306#117—22no—
307#117—24no—
308#117—24no—
309#117—22no—
310#117—22no—
311#117—24no—
312#117—24no—
313#117—24no—
314#117—24no—
315#117—24no—
316#117—24no—
317#117—44no—
318#117—44no—
319C2×C4⋊C4—28no—
320C2×C4⋊C4—28no—
321C2×C4⋊C4—28no—
322C2×C4⋊C4—24no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—24no—
328C2×C4⋊C4—28no—
329C2×C4⋊C4—28no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—24no—
340C2×C4⋊C4—24no—
341C2×C4⋊C4—24no—
342C2×C4⋊C4—24no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—84no—
348C2×C4⋊C4—84no—
349C2×C4⋊C4C2×D411yescharacteristic
350C2×C4⋊C4C2×D411yescharacteristic
351C2×C4⋊C4C2×D411yescharacteristic
352C2×C4⋊C4C2×D411yescharacteristic
353C2×C4⋊C4C2×D412yes—
354C2×C4⋊C4C2×D412yes—
355C2×C4⋊C4#4118yes—
356C2×C4⋊C4C2412yes—
357C2×C4⋊C4C2412yes—
358C2×C4⋊C4C2412yes—
359C2×C4⋊C4C2411yescharacteristic
360C2×C4⋊C4C2411yescharacteristic
361C2×C4⋊C4C2411yescharacteristic
362C2×C4⋊C4C2411yescharacteristic
363C2×C4⋊C4C2414yes—
364C2×C22⋊C4—28no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—21no—
368C2×C22⋊C4—21no—
369C2×C22⋊C4—21no—
370C2×C22⋊C4—21no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—21no—
374C2×C22⋊C4—21no—
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—44no—
384C2×C22⋊C4—44no—
385C2×C22⋊C4C2×D412yes—
386C2×C22⋊C4C2×D412yes—
387C2×C22⋊C4C2×D412yes—
388C2×C22⋊C4C2×D412yes—
389C2×C42—24no—
390C2×C42—24no—
391C2×C42—22no—
392C2×C42—22no—
393C2×C42—21no—
394C2×C42—21no—
395C2×C42—44no—
396C2×C42C2×D412yes—
397C2×C42C2×D412yes—
398C2×C42C2412yes—
399C2×C42C2412yes—
400#107—28no—
401#107—28no—
402#106—28no—
403#106—28no—
404C4⋊C8—28no—
405C4⋊C8—28no—
406#102—28no—
407#102—28no—
408#102—28no—
409#102—28no—
410C22⋊C8—22no—
411C22⋊C8—22no—
412C22⋊C8—24no—
413C22⋊C8C2×D418yes—
414C22⋊C8C2×D418yes—
415#97—28no—
416C4×C8—28no—
417#95—24no—
418#95—24no—
419#95—24no—
420#95—24no—
421#95—21no—
422#95—21no—
423#95—21no—
424#95—21no—
425#95—22no—
426#95—22no—
427#95—22no—
428#95—22no—
429C24—22no—
430C24—22no—
431C24—22no—
432C24—22no—
433C24—22no—
434C24—41no—
435C24—41no—
436C24—42no—
437C24—42no—
438C24—42no—
439C24—81no—
440C24—81no—
441C24—81no—
442C24—81no—
443C24#12114yes—
444C24C22×D411yescharacteristic
445C24C22×D411yescharacteristic
446C24C22×D411yescharacteristic
447C2×D4—22no—
448C2×D4—24no—
449C2×D4—22no—
450C2×D4—24no—
451C2×D4—44no—
452C2×D4—44no—
453C2×D4—44no—
454C2×D4—44no—
455C2×D4—42no—
456C2×D4—42no—
457C2×D4—42no—
458C2×D4—48no—
459C2×D4—48no—
460C2×D4—82no—
461C2×D4—82no—
462C2×D4—816no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—216no—
470C22×C4—216no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—28no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—28no—
481C22×C4—24no—
482C22×C4—28no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—22no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—44no—
493C22×C4—44no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—82no—
502C22×C4—82no—
503C22×C4—82no—
504C22×C4—82no—
505C22×C4—81no—
506C22×C4—81no—
507C22×C4—816no—
508C22×C4#12114yes—
509C22×C4#12114yes—
510C22×C4#12114yes—
511C22×C4C22×D412yes—
512C22×C4C22×D412yes—
513C22×C4C22×D412yes—
514C22×C4C22×D412yes—
515C22×C4C22×D411yescharacteristic
516C22×C4C22×D411yescharacteristic
517C22×C4C22×D412yes—
518C22×C4C22×D412yes—
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D412yes—
521C22×C4C2×#4112yes—
522C22×C4C2×#4112yes—
523C22×C4C2×#4112yes—
524C22×C4C2×#4114yes—
525C22×C42−1+414yes—
526C22×C4C2511yescharacteristic
527M16—216no—
528C2×C8—24no—
529C2×C8—24no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—48no—
537C2×C8C22×D418yes—
538C4⋊C4—28no—
539C4⋊C4—28no—
540C4⋊C4—24no—
541C4⋊C4—24no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—28no—
547C4⋊C4—24no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—84no—
562C4⋊C4—84no—
563C4⋊C4—84no—
564C4⋊C4—84no—
565C4⋊C4—82no—
566C4⋊C4—82no—
567C4⋊C4—82no—
568C4⋊C4—82no—
569C4⋊C4C2×#4118yes—
570C22⋊C4—24no—
571C22⋊C4—24no—
572C22⋊C4—24no—
573C22⋊C4—24no—
574C22⋊C4—44no—
575C22⋊C4—44no—
576C22⋊C4—42no—
577C22⋊C4—42no—
578C22⋊C4—42no—
579C22⋊C4—42no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—82no—
583C22⋊C4—82no—
584C22⋊C4—82no—
585C22⋊C4—82no—
586C22⋊C4—82no—
587C22⋊C4—82no—
588C22⋊C4—82no—
589C22⋊C4—82no—
590C22⋊C4—81no—
591C22⋊C4—81no—
592C42—24no—
593C42—24no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—44no—
599C42—44no—
600C42—42no—
601C42—42no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—28no—
614C23—21no—
615C23—28no—
616C23—21no—
617C23—21no—
618C23—44no—
619C23—44no—
620C23—44no—
621C23—44no—
622C23—44no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—84no—
631C23—84no—
632C23—84no—
633C23—162no—
634C23—162no—
635C23—162no—
636C23—162no—
637C23C2×#12112yes—
638C23C2×#12112yes—
639C23C2×#12112yes—
640C23#52512yes—
641C23#53612yes—
642C23#57612yes—
643C23#57712yes—
644C23C23×D411yescharacteristic
645D4—44no—
646D4—44no—
647D4—88no—
648D4—88no—
649D4—84no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—28no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—28no—
656C2×C4—28no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—28no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—416no—
675C2×C4—44no—
676C2×C4—48no—
677C2×C4—44no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—42no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—84no—
700C2×C4—88no—
701C2×C4—88no—
702C2×C4—84no—
703C2×C4—84no—
704C2×C4—84no—
705C2×C4C2×#12112yes—
706C2×C4C2×#12112yes—
707C2×C4C2×#12112yes—
708C2×C4#52512yes—
709C2×C4#53612yes—
710C2×C4#54718yes—
711C2×C4#55218yes—
712C2×C4C23×D411yescharacteristic
713C2×C4C22×#4112yes—
714C2×C4C22×#4111yescharacteristic
715C2×C4C2×2−1+412yes—
716C8—28no—
717C8—42no—
718C8—42no—
719C22—22no—
720C22—22no—
721C22—22no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—22no—
728C22—22no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—22no—
733C22—22no—
734C22—416no—
735C22—41no—
736C22—41no—
737C22—41no—
738C22—41no—
739C22—82no—
740C22—82no—
741C22—82no—
742C22—82no—
743C22—82no—
744C22—82no—
745C22—82no—
746C22—168no—
747C22#241314yes—
748C22#306214yes—
749C22C22×#12111yescharacteristic
750C22C2×#52511yescharacteristic
751C22C2×#53611yescharacteristic
752C22C2×#57611yescharacteristic
753C22C2×#57711yescharacteristic
754C22#358511yescharacteristic
755C22#358611yescharacteristic
756C4—22no—
757C4—22no—
758C4—42no—
759C4—42no—
760C4—42no—
761C4—42no—
762C4—48no—
763C4—82no—
764C4—82no—
765C4—82no—
766C4—81no—
767C4—81no—
768C4—81no—
769C4—81no—
770C4#241314yes—
771C4C2×#54712yes—
772C4C2×#55212yes—
773C2—24no—
774C2—24no—
775C2—42no—
776C2—162no—
777C2C2×#241311yescharacteristic
778C2C2×#306211yescharacteristic
779C2#6045611yescharacteristic
780C2#6057811yescharacteristic
781C2#6058211yescharacteristic
782C2#6087111yescharacteristic
783C2#6087311yescharacteristic
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×#2924C2semidirect
4. C2×#2316C2semidirect
5. #24617C2semidirect
6. #24615C2semidirect
7. #24608C2semidirect
8. #24607C2semidirect
9. #24603C2semidirect
10. #24600C2semidirect
11. #23671C2semidirect
12. #23614C2semidirect
13. #21160C2semidirect
14. #21089C2semidirect
16. #20844C2semidirect
17. #20699C2semidirect
27. C2×#433C22semidirect
28. C2×#432C22semidirect
29. C2×#431C22semidirect
55. #2316C22semidirect
60. C2×#389C22semidirect
61. C2×#389C22semidirect
64. #2088C22semidirect
65. #2088C22semidirect
66. #2087C22semidirect
67. #2086C22semidirect
68. #2067C22semidirect
69. #2067C22semidirect
70. #2065C22semidirect
71. #2065C22semidirect
72. #1944C22semidirect
73. #1943C22semidirect
74. #1942C22semidirect
75. #1941C22semidirect
76. #1936C22semidirect
77. #1936C22semidirect
78. #1934C22semidirect
79. #1934C22semidirect
83. #1853C22semidirect
84. #1853C22semidirect
85. #1852C22semidirect
86. #1852C22semidirect
87. #1825C22semidirect
88. #1825C22semidirect
89. #1824C22semidirect
90. #1824C22semidirect
91. #1823C22semidirect
92. #1823C22semidirect

Maximal subgroups

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

subgroupindex
C2×#30942
C2×#29242
#352622
C2×#23162
#246172
#246152
#246082
#246072
#246032
#246002
#236712
#236142
#211602
#210892
C2×#18742
#208442
#206992