Finite Group Databasebeta

← #6513519

Subgroups — #6513519

Order 512.

2198 conjugacy classes of subgroups.

The subgroup lattice has 771 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3113C211yesmaximal, characteristic, complemented
2C2×#2974C211yesmaximal, characteristic
3#35240C211yesmaximal, characteristic
4C2×#2538C211yesmaximal, characteristic
5#28238C214yesmaximal, complemented
6#28153C214yesmaximal, complemented
7#25394C212yesmaximal, complemented
8#25386C212yesmaximal, complemented
9#25348C212yesmaximal, complemented
10#25341C212yesmaximal, complemented
11#24559C212yesmaximal, complemented
12#24551C212yesmaximal, complemented
13#24386C212yesmaximal, complemented
14#24380C212yesmaximal, complemented
15#21987C211yesmaximal, characteristic, complemented
16#21860C211yesmaximal, characteristic, complemented
17#20735C211yesmaximal, characteristic, complemented
18C2×#533C2211yescharacteristic
19C22×C22⋊Q8C2212yes—
20C22×C4×Q8C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22#3113—28no—
23C2×#483C2212yes—
24C2×#475C2212yescomplemented
25C2×#470C2214yescomplemented
26C2×#467C2214yescomplemented
27C2×#462C2212yescomplemented
28C2×#451C2212yes—
29#2974—28no—
30C2×#441C2214yescomplemented
31C2×#436C2212yes—
32C2×#435C2214yes—
33C2×C8×D4C2212yes—
34C2×#432C2211yescharacteristic
35C2×#431C2211yescharacteristic
36C2×#407C2212yes—
37C22×C22⋊C8C2212yes—
38#2848C2212yes—
39#2848C2212yes—
40#2633—22no—
41#2547C2211yescharacteristic
42#2547C2211yescharacteristic
43#2542C2211yescharacteristic
44#2542C2211yescharacteristic
45#2538—21no—
46#2538—21no—
47#2538—22no—
48#2538C2212yes—
49#2538C2212yes—
50#2538C2214yes—
51#2536C2212yes—
52#2536C2212yes—
53#2502—21no—
54#2482—22no—
55#2435—21no—
56C2×#396—22no—
57#2326—21no—
58#2326—21no—
59C2×#390—21no—
60C2×#389—21no—
61C2×#384C2211yescharacteristic
62#2283C2211yescharacteristic
63C2×#380C2212yes—
64#2077C2214yescomplemented
65#2077C2214yescomplemented
66#2036C2214yescomplemented
67#2036C2214yescomplemented
68#2035C2214yescomplemented
69#2035C2214yescomplemented
70#2001C2214yescomplemented
71#2001C2214yescomplemented
72#1990C2212yescomplemented
73#1956C2212yescomplemented
74#1948C2212yescomplemented
75#1947C2212yescomplemented
76#1894C2214yescomplemented
77#1894C2214yescomplemented
78#1892C2214yescomplemented
79#1892C2214yescomplemented
80#1872C2212yes—
81#1872C2212yes—
82#1853C2212yes—
83#1852C2212yes—
84#1847C2212yescomplemented
85#1836C2212yescomplemented
86#1823C2211yescharacteristic
87#1823C2211yescharacteristic
88#1809C2214yescomplemented
89#1807C2214yescomplemented
90#1805C2212yescomplemented
91#1805C2212yescomplemented
92#1803C2214yescomplemented
93#1787C2211yescharacteristic
94#1787C2211yescharacteristic
95C4×#103C2212yescomplemented
96C4×#103C2212yescomplemented
97C23×Q8C2311yescharacteristic
98C23×D4D411yescharacteristic
99C24×C4C2312yes—
100C22×Q16C2314yes—
101C22×M16C2314yes—
102C23×C8C2314yes—
103#533—24no—
104#533—24no—
105C2×C4⋊Q8C2311yescharacteristic
106C2×C4⋊Q8C2311yescharacteristic
107C2×#125—21no—
108C2×#124—21no—
109C2×#124—21no—
110C2×C22⋊Q8—22no—
111C2×C22⋊Q8—22no—
112C2×C22⋊Q8—21no—
113C2×C22⋊Q8—48no—
114C2×C22⋊Q8C2312yes—
115C2×C22⋊Q8C2314yes—
116C2×C22⋊Q8C2314yes—
117C2×C22⋊Q8C2312yes—
118C2×C22⋊Q8C2312yes—
119C2×C22⋊Q8C2312yes—
120C2×C22⋊Q8C2312yes—
121C2×C4×Q8—21no—
122C2×C4×Q8—21no—
123C2×C4×Q8—21no—
124C2×C4×Q8—24no—
125C2×C4×Q8—24no—
126C2×C4×Q8C2312yes—
127C2×C4×Q8C2312yes—
128C2×C4×Q8C2312yes—
129C2×C4×D4—24no—
130C2×C4×D4—24no—
131C2×C4×D4D411yescharacteristic
132C2×C4×D4D411yescharacteristic
133C2×C4×D4D412yes—
134C2×C4×D4C2311yescharacteristic
135C2×C4×D4C2312yes—
136C2×C4×D4C2311yescharacteristic
137C2×#117—21no—
138C22×C4⋊C4—21no—
139C22×C4⋊C4—22no—
140C22×C4⋊C4—21no—
141C22×C4⋊C4—21no—
142C22×C4⋊C4D411yescharacteristic
143C22×C4⋊C4C2311yescharacteristic
144C22×C4⋊C4C2312yes—
145C22×C22⋊C4—22no—
146C22×C22⋊C4—22no—
147C22×C22⋊C4D412yes—
148C22×C42—21no—
149C22×C42C2311yescharacteristic
150#483—28no—
151#475—28no—
152#470—48no—
153#467—48no—
154#462—28no—
155#451—28no—
156#441—216no—
157#436—28no—
158#435—216no—
159C8×D4—28no—
160#432D418yes—
161#431—24no—
162C2×#107C2314yes—
163C2×#106C2314yes—
164C2×#106C2314yes—
165C2×C4⋊C8C2312yes—
166C2×C4⋊C8C2312yes—
167C2×#103C2314yes—
168C2×#103C2312yes—
169C2×#103C2312yes—
170C2×#103C2314yes—
171C2×#103C2314yes—
172C2×#103C2314yes—
173C2×#103C2312yes—
174C2×#103C2312yes—
175#407—28no—
176C2×C22⋊C8—28no—
177C2×C22⋊C8C2314yes—
178C2×C22⋊C8C2314yes—
179C2×C22⋊C8C2311yescharacteristic
180C2×C22⋊C8C2311yescharacteristic
181C2×C22⋊C8C2312yes—
182C2×#97C2312yes—
183C2×C4×C8C2312yes—
184#399—22no—
185#399—22no—
186#398—22no—
187#398—22no—
188#397—22no—
189#397—22no—
190#396—24no—
191#396—24no—
192#396—24no—
193#396—24no—
194#394—22no—
195#394—22no—
196#391—21no—
197#391—21no—
198#390—21no—
199#390—21no—
200#390—22no—
201#390—24no—
202#390—22no—
203#389—22no—
204#389—22no—
205#389—24no—
206#388—22no—
207#388—22no—
208#388—22no—
209#388—22no—
210#385—22no—
211#385—22no—
212#385—22no—
213#385—22no—
214#385—22no—
215#385—22no—
216#384—21no—
217#384—21no—
218#384—21no—
219#384—21no—
220#384C2312yes—
221#384C2312yes—
222#383—21no—
223#382C2311yescharacteristic
224#382C2311yescharacteristic
225#381—21no—
226#380—22no—
227#380—22no—
228#380C2312yes—
229#380C2314yes—
230#380C2312yes—
231#380C2314yes—
232#380C2312yes—
233#380C2312yes—
234#380C2311yescharacteristic
235#380C2311yescharacteristic
236#379—22no—
237#379—22no—
238C4×C4⋊C4C2311yescharacteristic
239C4×C4⋊C4C2311yescharacteristic
240C4×C22⋊C4—21no—
241#376—21no—
242C2×#95—22no—
243#340C2314yes—
244#340C2314yes—
245#340C2312yes—
246#340C2312yes—
247#340C2312yes—
248#340C2312yes—
249#340C2314yes—
250#340C2314yes—
251C25C2×D412yes—
252C22×Q8—24no—
253C22×Q8—21no—
254C22×Q8—21no—
255C22×Q8—22no—
256C22×Q8—22no—
257C22×Q8—42no—
258C22×Q8C2412yes—
259C22×Q8C2412yes—
260C22×D4—24no—
261C22×D4—24no—
262C22×D4—42no—
263C22×D4C2×D411yescharacteristic
264C22×D4C2×D412yes—
265C22×D4C2×D411yescharacteristic
266C23×C4—21no—
267C23×C4—24no—
268C23×C4—24no—
269C23×C4—22no—
270C23×C4—21no—
271C23×C4—44no—
272C23×C4—44no—
273C23×C4C2×D411yescharacteristic
274C23×C4C2×D411yescharacteristic
275C23×C4C2×D412yes—
276C23×C4C2×D412yes—
277C23×C4C2×D412yes—
278C23×C4C2412yes—
279C23×C4C2412yes—
280C23×C4C2411yescharacteristic
281C2×Q16—28no—
282C2×Q16—28no—
283C2×Q16—44no—
284C2×M16—28no—
285C2×M16—44no—
286C2×M16—44no—
287C22×C8—28no—
288C22×C8—44no—
289C22×C8—44no—
290C22×C8C2412yes—
291C22×C8C2412yes—
292C22×C8C2414yes—
293C4⋊Q8—22no—
294C4⋊Q8—22no—
295C4⋊Q8—22no—
296C4⋊Q8—22no—
297#125—44no—
298#124—44no—
299#124—44no—
300C22⋊Q8—28no—
301C22⋊Q8—28no—
302C22⋊Q8—24no—
303C22⋊Q8—24no—
304C22⋊Q8—44no—
305C22⋊Q8—44no—
306C22⋊Q8—48no—
307C22⋊Q8—48no—
308C22⋊Q8—44no—
309C22⋊Q8—44no—
310C22⋊Q8—44no—
311C22⋊Q8—44no—
312C22⋊Q8—44no—
313C4×Q8—24no—
314C4×Q8—24no—
315C4×Q8—24no—
316C4×Q8—24no—
317C4×Q8—24no—
318C4×Q8—24no—
319C4×Q8—44no—
320C4×Q8—44no—
321C4×Q8—44no—
322C4×D4—24no—
323C4×D4—24no—
324C4×D4—28no—
325C4×D4—22no—
326C4×D4—24no—
327C4×D4—22no—
328C4×D4—24no—
329C4×D4—22no—
330C4×D4—22no—
331#117—44no—
332C2×C4⋊C4—24no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—24no—
338C2×C4⋊C4—24no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—44no—
355C2×C4⋊C4—44no—
356C2×C4⋊C4—48no—
357C2×C4⋊C4—44no—
358C2×C4⋊C4—82no—
359C2×C4⋊C4C2×D411yescharacteristic
360C2×C4⋊C4C2×D411yescharacteristic
361C2×C4⋊C4C2×D412yes—
362C2×C4⋊C4C2412yes—
363C2×C4⋊C4C2414yes—
364C2×C4⋊C4C2412yes—
365C2×C4⋊C4C2411yescharacteristic
366C2×C4⋊C4C2411yescharacteristic
367C2×C4⋊C4C2411yescharacteristic
368C2×C4⋊C4C2411yescharacteristic
369C2×C22⋊C4—28no—
370C2×C22⋊C4—24no—
371C2×C22⋊C4—24no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—21no—
378C2×C22⋊C4—21no—
379C2×C22⋊C4—24no—
380C2×C22⋊C4—24no—
381C2×C22⋊C4—22no—
382C2×C22⋊C4—22no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—48no—
386C2×C22⋊C4—84no—
387C2×C22⋊C4C2×D412yes—
388C2×C22⋊C4C2×D412yes—
389C2×C22⋊C4C2×D412yes—
390C2×C22⋊C4C2×D412yes—
391C2×C42—22no—
392C2×C42—22no—
393C2×C42—22no—
394C2×C42—21no—
395C2×C42—21no—
396C2×C42—44no—
397C2×C42C2×D411yescharacteristic
398C2×C42C2×D411yescharacteristic
399C2×C42C2×D414yes—
400C2×C42#4114yes—
401C2×C42C2411yescharacteristic
402C2×C42C2411yescharacteristic
403#107—44no—
404#106—28no—
405#106—44no—
406C4⋊C8—24no—
407C4⋊C8C2×D418yes—
408#103—24no—
409#103—24no—
410#103—28no—
411#103—28no—
412#103—42no—
413#103—42no—
414#103—44no—
415#103—44no—
416C22⋊C8—22no—
417C22⋊C8—22no—
418C22⋊C8—28no—
419C22⋊C8—28no—
420C22⋊C8C2×D418yes—
421#97C2×D418yes—
422C4×C8—24no—
423#95—24no—
424#95—24no—
425#95—21no—
426#95—21no—
427#95—21no—
428#95—21no—
429#95—21no—
430#95—21no—
431#95—21no—
432#95—21no—
433#95—22no—
434#95—22no—
435#95—22no—
436#95—22no—
437C24—24no—
438C24—24no—
439C24—24no—
440C24—24no—
441C24—42no—
442C24—42no—
443C24—42no—
444C24C22×D412yes—
445C24C22×D412yes—
446C24C22×D411yescharacteristic
447C2×Q8—24no—
448C2×Q8—22no—
449C2×Q8—22no—
450C2×Q8—22no—
451C2×Q8—22no—
452C2×Q8—22no—
453C2×Q8—24no—
454C2×Q8—22no—
455C2×Q8—22no—
456C2×Q8—24no—
457C2×Q8—48no—
458C2×Q8—48no—
459C2×Q8—42no—
460C2×Q8—42no—
461C2×Q8—42no—
462C2×Q8—42no—
463C2×Q8—42no—
464C2×Q8H(5,𝔽2)14yes—
465C2×D4—24no—
466C2×D4—22no—
467C2×D4—24no—
468C2×D4—22no—
469C2×D4—22no—
470C2×D4—22no—
471C2×D4—22no—
472C2×D4—416no—
473C2×D4—42no—
474C2×D4#13714yes—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—24no—
482C22×C4—22no—
483C22×C4—24no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—24no—
501C22×C4—22no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—44no—
511C22×C4—44no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—44no—
515C22×C4—42no—
516C22×C4—88no—
517C22×C4—88no—
518C22×C4#12114yes—
519C22×C4#12114yes—
520C22×C4C22×D412yes—
521C22×C4C22×D412yes—
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D412yes—
527C22×C4C22×D411yescharacteristic
528C22×C4C2×#4112yes—
529C22×C4C2511yescharacteristic
530Q16—416no—
531M16—88no—
532C2×C8—24no—
533C2×C8—24no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—88no—
541C2×C8C22×D418yes—
542C4⋊C4—24no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—48no—
556C4⋊C4—48no—
557C4⋊C4—44no—
558C4⋊C4—44no—
559C4⋊C4—42no—
560C4⋊C4—44no—
561C4⋊C4—44no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—42no—
567C4⋊C4—44no—
568C4⋊C4—82no—
569C4⋊C4—82no—
570C4⋊C4—82no—
571C4⋊C4—82no—
572C4⋊C4—82no—
573C4⋊C4—82no—
574C22⋊C4—24no—
575C22⋊C4—24no—
576C22⋊C4—24no—
577C22⋊C4—24no—
578C22⋊C4—48no—
579C22⋊C4—48no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—42no—
586C22⋊C4—42no—
587C22⋊C4—84no—
588C22⋊C4—84no—
589C22⋊C4—82no—
590C22⋊C4—82no—
591C22⋊C4—82no—
592C22⋊C4—82no—
593C42—44no—
594C42—44no—
595C42—44no—
596C42—42no—
597C42—42no—
598C42#12114yes—
599C42#12114yes—
600C42C22×D412yes—
601C42C22×D412yes—
602C42C2×#4112yes—
603C42C2×#4112yes—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—22no—
609C23—22no—
610C23—22no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—22no—
620C23—22no—
621C23—48no—
622C23—48no—
623C23—48no—
624C23—48no—
625C23—84no—
626C23—84no—
627C23—84no—
628C23C2×#12112yes—
629C23C2×#13714yes—
630C23#57712yes—
631C23#57812yes—
632C23C23×D411yescharacteristic
633Q8—24no—
634Q8—24no—
635Q8—48no—
636Q8—42no—
637Q8—42no—
638Q8—44no—
639Q8—44no—
640Q8—84no—
641D4—28no—
642D4—48no—
643D4—44no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—28no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—28no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—24no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—48no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—44no—
667C2×C4—44no—
668C2×C4—44no—
669C2×C4—44no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—44no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—42no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—42no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—42no—
686C2×C4—44no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—42no—
690C2×C4—44no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—42no—
694C2×C4—84no—
695C2×C4—84no—
696C2×C4—84no—
697C2×C4—88no—
698C2×C4—84no—
699C2×C4C2×#12112yes—
700C2×C4C2×#12112yes—
701C2×C4C2×#12112yes—
702C2×C4C2×#12112yes—
703C2×C4C2×#12112yes—
704C2×C4C2×#13712yes—
705C2×C4#57512yes—
706C2×C4C23×D411yescharacteristic
707C2×C4C22×#4111yescharacteristic
708C2×C4C2×H(5,𝔽2)12yes—
709C2×C4#58512yes—
710C8—28no—
711C8—42no—
712C8—42no—
713C22—22no—
714C22—22no—
715C22—22no—
716C22—22no—
717C22—22no—
718C22—22no—
719C22—24no—
720C22—24no—
721C22—24no—
722C22—42no—
723C22—42no—
724C22—42no—
725C22—42no—
726C22—42no—
727C22—42no—
728C22—42no—
729C22—42no—
730C22—42no—
731C22—42no—
732C22—42no—
733C22—816no—
734C22#306314yes—
735C22C22×#12111yescharacteristic
736C22#348411yescharacteristic
737C22#348511yescharacteristic
738C22C22×#13711yescharacteristic
739C22C2×#57511yescharacteristic
740C22C2×#57711yescharacteristic
741C22C2×#57811yescharacteristic
742C4—22no—
743C4—22no—
744C4—22no—
745C4—22no—
746C4—42no—
747C4—42no—
748C4—44no—
749C4—82no—
750C4—81no—
751C4—82no—
752C4—81no—
753C4—81no—
754C4—84no—
755C4—81no—
756C4—82no—
757C4#305614yes—
758C4#348812yes—
759C4#349412yes—
760C2—24no—
761C2—44no—
762C2—82no—
763C2#3551411yescharacteristic
764C2C2×#305611yescharacteristic
765C2C2×#306311yescharacteristic
766C2#6159611yescharacteristic
767C2#6160211yescharacteristic
768C2#6173011yescharacteristic
769C2#6173511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3113C2semidirect
5. #28238C2semidirect
6. #28153C2semidirect
7. #25394C2semidirect
8. #25386C2semidirect
9. #25348C2semidirect
10. #25341C2semidirect
11. #24559C2semidirect
12. #24551C2semidirect
13. #24386C2semidirect
14. #24380C2semidirect
15. #21987C2semidirect
16. #21860C2semidirect
17. #20735C2semidirect
24. C2×#475C22semidirect
25. C2×#470C22semidirect
26. C2×#467C22semidirect
27. C2×#462C22semidirect
30. C2×#441C22semidirect
64. #2077C22semidirect
65. #2077C22semidirect
66. #2036C22semidirect
67. #2036C22semidirect
68. #2035C22semidirect
69. #2035C22semidirect
70. #2001C22semidirect
71. #2001C22semidirect
72. #1990C22semidirect
73. #1956C22semidirect
74. #1948C22semidirect
75. #1947C22semidirect
76. #1894C22semidirect
77. #1894C22semidirect
78. #1892C22semidirect
79. #1892C22semidirect
84. #1847C22semidirect
85. #1836C22semidirect
88. #1809C22semidirect
89. #1807C22semidirect
90. #1805C22semidirect
91. #1805C22semidirect
92. #1803C22semidirect
95. C4×#103C22semidirect
96. C4×#103C22semidirect

Maximal subgroups

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

subgroupindex
C2×#31132
C2×#29742
#352402
C2×#25382
#282382
#281532
#253942
#253862
#253482
#253412
#245592
#245512
#243862
#243802
#219872
#218602
#207352