Finite Group Databasebeta

← #6457219

Subgroups — #6457219

Order 512.

2230 conjugacy classes of subgroups.

The subgroup lattice has 794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3092C211yesmaximal, characteristic
2C2×#3091C211yesmaximal, characteristic
3#34202C211yesmaximal, characteristic
4C2×#2317C211yesmaximal, characteristic, complemented
5#27656C214yesmaximal, complemented
6#27654C214yesmaximal, complemented
7#27653C212yesmaximal, complemented
8#27651C212yesmaximal, complemented
9#27647C212yesmaximal, complemented
10#27644C212yesmaximal, complemented
11#23662C212yesmaximal, complemented
12#23634C212yesmaximal, complemented
13#21175C212yesmaximal, complemented
14#20702C211yesmaximal, characteristic, complemented
15C2×#1823C211yesmaximal, characteristic, complemented
16#20652C212yesmaximal, complemented
17#20628C211yesmaximal, characteristic, complemented
18C2×#525C2211yescharacteristic
19C2×#520C2211yescharacteristic
20C22×#117C2211yescharacteristic
21C22×#117C2211yescharacteristic
22C23×C4⋊C4C2211yescharacteristic
23#3092—28no—
24#3091—28no—
25C2×#484C2211yescharacteristic
26C2×#484C2212yes—
27C2×#481C2211yescharacteristic
28C2×#481C2212yes—
29C2×#485C2212yes—
30C2×#482C2212yes—
31C2×#483C2212yes—
32C2×#483C2211yescharacteristic
33C2×#480C2212yes—
34C2×#480C2211yescharacteristic
35C2×#428C2212yes—
36C2×#427C2212yes—
37C2×#424C2212yes—
38C2×#417C2212yes—
39C2×#416C2212yes—
40C2×#407C2211yescharacteristic
41C22×C22⋊C8C2211yescharacteristic
42#2359—22no—
43#2358—22no—
44#2354—21no—
45#2352—21no—
46#2352—21no—
47D4×C4⋊C4—21no—
48#2324C2212yes—
49#2323C2212yes—
50#2317—21no—
51#2317—21no—
52#2317—22no—
53#2317C2211yescharacteristic
54#2317C2214yes—
55#2317C2212yes—
56#2317C2212yes—
57#2311C2211yescharacteristic
58C4×C22⋊Q8C2212yes—
59C4×#121C2212yes—
60C2×#389—21no—
61C2×#389—21no—
62C2×#385—22no—
63C2×#384C2212yes—
64C2×#382C2212yes—
65C2×#380C2211yescharacteristic
66#2274C2211yescharacteristic
67#2085C2214yescomplemented
68#2085C2214yescomplemented
69#2084C2214yescomplemented
70#2083C2214yescomplemented
71#2074C2214yescomplemented
72#2073C2214yescomplemented
73#2072C2214yescomplemented
74#2071C2214yescomplemented
75#1949C2214yescomplemented
76#1949C2214yescomplemented
77#1948C2214yescomplemented
78#1947C2214yescomplemented
79#1825C2214yes—
80#1824C2212yes—
81#1823C2212yes—
82#1823C2212yes—
83#1823C2214yes—
84#1823C2212yes—
85#1805C2214yescomplemented
86#1804C2214yescomplemented
87#1803C2214yescomplemented
88#1802C2214yescomplemented
89#1798C2214yes—
90#1797C2212yes—
91#1797C2212yes—
92#1736C2212yes—
93#1736C2212yes—
94C2×#340C2212yes—
95C2×#340C2212yes—
96#1729C2212yes—
97C22×#41C2311yescharacteristic
98C24×C4—21no—
99C24×C4C2311yescharacteristic
100C22×M16C2312yes—
101C23×C8C2312yes—
102#525—24no—
103#525D418yes—
104C2×#123—21no—
105C2×C22⋊Q8C2311yescharacteristic
106C2×C22⋊Q8C2311yescharacteristic
107C2×#121C2311yescharacteristic
108C2×#121C2311yescharacteristic
109C2×#120—21no—
110#520—28no—
111C2×C4×Q8C2312yes—
112C2×C4×D4—21no—
113C2×C4×D4—21no—
114C2×C4×D4—22no—
115C2×C4×D4—22no—
116C2×C4×D4C2312yes—
117C2×#117—28no—
118C2×#117—21no—
119C2×#117—21no—
120C2×#117—21no—
121C2×#117—24no—
122C2×#117—24no—
123C2×#117D411yescharacteristic
124C2×#117D411yescharacteristic
125C2×#117D412yes—
126C2×#117C2312yes—
127C2×#117C2312yes—
128C2×#117C2311yescharacteristic
129C2×#117C2312yes—
130C2×#117C2311yescharacteristic
131C2×#117C2311yescharacteristic
132C22×C4⋊C4—24no—
133C22×C4⋊C4—24no—
134C22×C4⋊C4—21no—
135C22×C4⋊C4—21no—
136C22×C4⋊C4—21no—
137C22×C4⋊C4—22no—
138C22×C4⋊C4—22no—
139C22×C4⋊C4—21no—
140C22×C4⋊C4D411yescharacteristic
141C22×C4⋊C4D411yescharacteristic
142C22×C4⋊C4C2311yescharacteristic
143C22×C4⋊C4C2312yes—
144C22×C4⋊C4C2312yes—
145C22×C4⋊C4C2311yescharacteristic
146C22×C4⋊C4C2312yes—
147C22×C4⋊C4C2311yescharacteristic
148C22×C4⋊C4C2311yescharacteristic
149C22×C22⋊C4—21no—
150C22×C22⋊C4—21no—
151C22×C22⋊C4D412yes—
152C22×C42—21no—
153C22×C42C2312yes—
154#485—28no—
155#484—24no—
156#484—28no—
157#483—24no—
158#483—28no—
159#482—28no—
160#481—24no—
161#481—28no—
162#480—24no—
163#480—28no—
164#428—28no—
165#427—28no—
166C2×#107C2312yes—
167C2×#107C2314yes—
168C2×#107C2312yes—
169C2×#106C2312yes—
170C2×#106C2314yes—
171C2×#106C2312yes—
172#424—28no—
173C2×C4⋊C8C2314yes—
174C2×C4⋊C8C2314yes—
175#417—28no—
176#416—28no—
177C2×#103C2312yes—
178C2×#103C2314yes—
179C2×#103C2312yes—
180C2×#102C2312yes—
181C2×#102C2314yes—
182C2×#102C2312yes—
183#407—24no—
184C2×C22⋊C8—24no—
185C2×C22⋊C8C2312yes—
186C2×C22⋊C8C2311yescharacteristic
187C2×C22⋊C8C2311yescharacteristic
188C2×C22⋊C8C2312yes—
189C2×C22⋊C8C2312yes—
190#391C2312yes—
191#390—22no—
192#390C2312yes—
193#389—22no—
194#389—22no—
195#389—24no—
196#389—24no—
197#389—22no—
198#389—22no—
199#389—22no—
200#389C2312yes—
201#389C2312yes—
202#388—22no—
203#388—22no—
204#388—22no—
205#388—22no—
206#387—22no—
207#387—22no—
208#386—22no—
209#386—22no—
210#386—22no—
211#385—22no—
212#385—22no—
213#385—24no—
214#385—24no—
215#385—24no—
216#385—24no—
217#385—22no—
218#384—21no—
219#384—22no—
220#384—22no—
221#384C2314yes—
222#384C2314yes—
223#382—21no—
224#382—22no—
225#382—22no—
226#382C2314yes—
227#382C2314yes—
228#380—21no—
229#380—21no—
230#380—21no—
231#380—21no—
232#380C2312yes—
233#380C2312yes—
234C4×C4⋊C4—21no—
235C4×C4⋊C4—21no—
236C4×C4⋊C4—22no—
237C4×C4⋊C4C2312yes—
238C4×C4⋊C4C2312yes—
239C4×C22⋊C4—22no—
240C4×C22⋊C4—22no—
241C4×C22⋊C4—22no—
242C2×#95—21no—
243C2×#95—22no—
244C2×#95—22no—
245#340C2314yes—
246#340C2314yes—
247#340C2314yes—
248#340C2314yes—
249#340C2314yes—
250#340C2314yes—
251#340C2314yes—
252#340C2314yes—
253#336C2314yes—
254#336C2314yes—
255C25C2×D411yescharacteristic
256C2×#41—22no—
257C2×#41—24no—
258C2×#41—24no—
259C2×#41C2×D414yes—
260C22×Q8C2411yescharacteristic
261C22×D4—21no—
262C22×D4—21no—
263C22×D4—21no—
264C22×D4C2411yescharacteristic
265C23×C4—24no—
266C23×C4—24no—
267C23×C4—21no—
268C23×C4—21no—
269C23×C4—21no—
270C23×C4—22no—
271C23×C4—21no—
272C23×C4—21no—
273C23×C4—22no—
274C23×C4—22no—
275C23×C4—22no—
276C23×C4—44no—
277C23×C4—82no—
278C23×C4—82no—
279C23×C4C2×D412yes—
280C23×C4C2×D412yes—
281C23×C4C2×D411yescharacteristic
282C23×C4C2×D411yescharacteristic
283C23×C4C2×D411yescharacteristic
284C23×C4C2×D414yes—
285C23×C4#4114yes—
286C23×C4C2411yescharacteristic
287C23×C4C2411yescharacteristic
288C23×C4C2411yescharacteristic
289C2×M16—24no—
290C2×M16—24no—
291C2×M16—24no—
292C22×C8—24no—
293C22×C8—24no—
294C22×C8—24no—
295C22×C8C2412yes—
296C22×C8C2412yes—
297C22×C8C2414yes—
298#123—28no—
299C22⋊Q8—22no—
300C22⋊Q8—22no—
301C22⋊Q8C2×D414yes—
302C22⋊Q8C2×D414yes—
303#121—22no—
304#121—22no—
305#121C2×D414yes—
306#121C2×D414yes—
307#120—28no—
308C4×Q8—28no—
309C4×D4—28no—
310C4×D4—28no—
311C4×D4—28no—
312C4×D4—48no—
313C4×D4—84no—
314#117—24no—
315#117—22no—
316#117—24no—
317#117—24no—
318#117—28no—
319#117—28no—
320#117—24no—
321#117—24no—
322#117—24no—
323#117—24no—
324#117—44no—
325#117—44no—
326#117—44no—
327#117C2×D414yes—
328#117#4118yes—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—24no—
332C2×C4⋊C4—24no—
333C2×C4⋊C4—24no—
334C2×C4⋊C4—24no—
335C2×C4⋊C4—24no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—24no—
339C2×C4⋊C4—24no—
340C2×C4⋊C4—24no—
341C2×C4⋊C4—22no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—24no—
344C2×C4⋊C4—24no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—24no—
354C2×C4⋊C4—24no—
355C2×C4⋊C4—24no—
356C2×C4⋊C4—24no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—44no—
360C2×C4⋊C4—44no—
361C2×C4⋊C4—44no—
362C2×C4⋊C4—44no—
363C2×C4⋊C4—84no—
364C2×C4⋊C4—84no—
365C2×C4⋊C4C2×D411yescharacteristic
366C2×C4⋊C4C2×D411yescharacteristic
367C2×C4⋊C4C2×D412yes—
368C2×C4⋊C4C2×D412yes—
369C2×C4⋊C4C2×D411yescharacteristic
370C2×C4⋊C4C2×D411yescharacteristic
371C2×C4⋊C4C2414yes—
372C2×C4⋊C4C2412yes—
373C2×C4⋊C4C2412yes—
374C2×C4⋊C4C2412yes—
375C2×C4⋊C4C2412yes—
376C2×C4⋊C4C2411yescharacteristic
377C2×C4⋊C4C2411yescharacteristic
378C2×C22⋊C4—21no—
379C2×C22⋊C4—21no—
380C2×C22⋊C4—21no—
381C2×C22⋊C4—21no—
382C2×C22⋊C4—21no—
383C2×C22⋊C4—28no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—22no—
387C2×C22⋊C4—22no—
388C2×C22⋊C4—22no—
389C2×C22⋊C4—22no—
390C2×C22⋊C4—22no—
391C2×C22⋊C4—44no—
392C2×C22⋊C4—82no—
393C2×C22⋊C4C2×D412yes—
394C2×C22⋊C4C2×D412yes—
395C2×C22⋊C4C2×D412yes—
396C2×C22⋊C4C2×D412yes—
397C2×C42—21no—
398C2×C42—28no—
399C2×C42—22no—
400C2×C42—22no—
401C2×C42—22no—
402C2×C42—22no—
403C2×C42—22no—
404C2×C42—44no—
405C2×C42C2×D412yes—
406C2×C42C2×D412yes—
407C2×C42C2412yes—
408C2×C42C2412yes—
409#107—24no—
410#107—24no—
411#107—28no—
412#106—24no—
413#106—24no—
414#106—28no—
415C4⋊C8—28no—
416C4⋊C8—28no—
417#103—24no—
418#103—24no—
419#103—28no—
420#102—24no—
421#102—24no—
422#102—28no—
423C22⋊C8—22no—
424C22⋊C8—22no—
425C22⋊C8—24no—
426C22⋊C8—24no—
427C22⋊C8—24no—
428#95—22no—
429#95—22no—
430#95—24no—
431#95—24no—
432#95—24no—
433#95—24no—
434#95—22no—
435#95—22no—
436#95—22no—
437#95—22no—
438#95—22no—
439#95—22no—
440C24—22no—
441C24—22no—
442C24—22no—
443C24—22no—
444C24—21no—
445C24—41no—
446C24—41no—
447C24#12114yes—
448C24C22×D411yescharacteristic
449C24C22×D411yescharacteristic
450C24C22×D411yescharacteristic
451#41—216no—
452#41—48no—
453C2×Q8—21no—
454C2×Q8—22no—
455C2×Q8—22no—
456C2×Q8C22×D412yes—
457C2×D4—24no—
458C2×D4—24no—
459C2×D4—24no—
460C2×D4—22no—
461C2×D4—21no—
462C2×D4—22no—
463C2×D4—42no—
464C2×D4—42no—
465C2×D4—42no—
466C2×D4—42no—
467C2×D4—81no—
468C2×D4—81no—
469C2×D4C22×D412yes—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—216no—
477C22×C4—216no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—24no—
494C22×C4—22no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—44no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—42no—
507C22×C4—44no—
508C22×C4—42no—
509C22×C4—44no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—44no—
513C22×C4—82no—
514C22×C4—82no—
515C22×C4—82no—
516C22×C4—82no—
517C22×C4—82no—
518C22×C4—82no—
519C22×C4—81no—
520C22×C4—81no—
521C22×C4—81no—
522C22×C4—81no—
523C22×C4—816no—
524C22×C4#12114yes—
525C22×C4#12114yes—
526C22×C4#12114yes—
527C22×C4C22×D412yes—
528C22×C4C22×D412yes—
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D412yes—
532C22×C4C22×D412yes—
533C22×C4C22×D412yes—
534C22×C4C22×D412yes—
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D412yes—
537C22×C4C2×#4112yes—
538C22×C4C2×#4112yes—
539C22×C4C2×#4112yes—
540C22×C4C2×#4114yes—
541C22×C42−1+414yes—
542C22×C4C2511yescharacteristic
543M16—48no—
544C2×C8—22no—
545C2×C8—24no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—24no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—24no—
553C2×C8—48no—
554C4⋊C4—24no—
555C4⋊C4—24no—
556C4⋊C4—24no—
557C4⋊C4—24no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—24no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—24no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—24no—
569C4⋊C4—24no—
570C4⋊C4—44no—
571C4⋊C4—44no—
572C4⋊C4—44no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—42no—
576C4⋊C4—44no—
577C4⋊C4—42no—
578C4⋊C4—82no—
579C4⋊C4—84no—
580C4⋊C4—84no—
581C4⋊C4—84no—
582C4⋊C4—84no—
583C4⋊C4—82no—
584C4⋊C4#12314yes—
585C4⋊C4#12314yes—
586C4⋊C4C22×D412yes—
587C4⋊C4C22×D412yes—
588C22⋊C4—24no—
589C22⋊C4—24no—
590C22⋊C4—24no—
591C22⋊C4—24no—
592C22⋊C4—24no—
593C22⋊C4—24no—
594C22⋊C4—24no—
595C22⋊C4—24no—
596C22⋊C4—44no—
597C22⋊C4—44no—
598C22⋊C4—44no—
599C22⋊C4—44no—
600C22⋊C4—82no—
601C22⋊C4—82no—
602C22⋊C4—82no—
603C22⋊C4#12318yes—
604C42—24no—
605C42—24no—
606C42—24no—
607C42—24no—
608C42—44no—
609C42—44no—
610C42—44no—
611C42—82no—
612C42—82no—
613C42C2×#4118yes—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—21no—
625C23—21no—
626C23—28no—
627C23—28no—
628C23—21no—
629C23—21no—
630C23—22no—
631C23—44no—
632C23—44no—
633C23—44no—
634C23—44no—
635C23—44no—
636C23—41no—
637C23—41no—
638C23—41no—
639C23—41no—
640C23—41no—
641C23—41no—
642C23C2×#12112yes—
643C23C2×#12112yes—
644C23C2×#12112yes—
645C23C2×#12312yes—
646C23#53612yes—
647C23#57612yes—
648C23#57712yes—
649C23C23×D411yescharacteristic
650Q8—24no—
651Q8—42no—
652D4—24no—
653D4—48no—
654D4—48no—
655D4—42no—
656D4—84no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—28no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—28no—
671C2×C4—28no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—48no—
682C2×C4—48no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—48no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—44no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—44no—
703C2×C4—42no—
704C2×C4—44no—
705C2×C4—84no—
706C2×C4—88no—
707C2×C4—88no—
708C2×C4—84no—
709C2×C4—88no—
710C2×C4—164no—
711C2×C4—162no—
712C2×C4—162no—
713C2×C4C2×#12112yes—
714C2×C4C2×#12112yes—
715C2×C4C2×#12112yes—
716C2×C4C2×#12314yes—
717C2×C4C2×#12314yes—
718C2×C4C2×#12312yes—
719C2×C4#53612yes—
720C2×C4#54718yes—
721C2×C4#55218yes—
722C2×C4C23×D411yescharacteristic
723C2×C4C22×#4112yes—
724C2×C4C22×#4111yescharacteristic
725C2×C4C2×2−1+412yes—
726C8—42no—
727C8—42no—
728C8—44no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—22no—
733C22—22no—
734C22—22no—
735C22—22no—
736C22—22no—
737C22—22no—
738C22—22no—
739C22—22no—
740C22—22no—
741C22—22no—
742C22—22no—
743C22—22no—
744C22—416no—
745C22—41no—
746C22—41no—
747C22—41no—
748C22—41no—
749C22—42no—
750C22—42no—
751C22—42no—
752C22—81no—
753C22—81no—
754C22—81no—
755C22—81no—
756C22#248614yes—
757C22#304514yes—
758C22C22×#12111yescharacteristic
759C22C22×#12311yescharacteristic
760C22C2×#53611yescharacteristic
761C22C2×#57611yescharacteristic
762C22C2×#57711yescharacteristic
763C22#358611yescharacteristic
764C22#358611yescharacteristic
765C4—24no—
766C4—24no—
767C4—22no—
768C4—22no—
769C4—42no—
770C4—42no—
771C4—42no—
772C4—42no—
773C4—42no—
774C4—82no—
775C4—84no—
776C4—82no—
777C4—82no—
778C4—82no—
779C4#248614yes—
780C4C2×#54712yes—
781C4C2×#55212yes—
782C2—24no—
783C2—24no—
784C2—42no—
785C2—82no—
786C2C2×#248611yescharacteristic
787C2C2×#304511yescharacteristic
788C2#6042711yescharacteristic
789C2#6052111yescharacteristic
790C2#6052211yescharacteristic
791C2#6087111yescharacteristic
792C2#6087211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#525C22
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
4. C2×#2317C2semidirect
5. #27656C2semidirect
6. #27654C2semidirect
7. #27653C2semidirect
8. #27651C2semidirect
9. #27647C2semidirect
10. #27644C2semidirect
11. #23662C2semidirect
12. #23634C2semidirect
13. #21175C2semidirect
14. #20702C2semidirect
15. C2×#1823C2semidirect
16. #20652C2semidirect
17. #20628C2semidirect
67. #2085C22semidirect
68. #2085C22semidirect
69. #2084C22semidirect
70. #2083C22semidirect
71. #2074C22semidirect
72. #2073C22semidirect
73. #2072C22semidirect
74. #2071C22semidirect
75. #1949C22semidirect
76. #1949C22semidirect
77. #1948C22semidirect
78. #1947C22semidirect
85. #1805C22semidirect
86. #1804C22semidirect
87. #1803C22semidirect
88. #1802C22semidirect

Maximal subgroups

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

subgroupindex
C2×#30922
C2×#30912
#342022
C2×#23172
#276562
#276542
#276532
#276512
#276472
#276442
#236622
#236342
#211752
#207022
C2×#18232
#206522
#206282