Finite Group Databasebeta

← #6494507

Subgroups — #6494507

Order 512.

1691 conjugacy classes of subgroups.

The subgroup lattice has 790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35288C211yesmaximal, characteristic, complemented
2#35277C211yesmaximal, characteristic, complemented
3#33286C211yesmaximal, characteristic, complemented
4#33230C211yesmaximal, characteristic, complemented
5#33174C211yesmaximal, characteristic, complemented
6#33048C211yesmaximal, characteristic, complemented
7#30304C211yesmaximal, characteristic, complemented
8#30260C211yesmaximal, characteristic, complemented
9#29844C211yesmaximal, characteristic, complemented
10#29806C211yesmaximal, characteristic
11#28919C214yesmaximal, complemented
12#28891C214yesmaximal, complemented
13#26969C214yesmaximal, complemented
14#26826C214yesmaximal, complemented
15#22268C211yesmaximal, characteristic, complemented
16#22220C211yesmaximal, characteristic, complemented
17C4×#493C211yesmaximal, characteristic, complemented
18C4×#487C211yesmaximal, characteristic, complemented
19#20472C211yesmaximal, characteristic, complemented
20C2×#542—21no—
21C2×#493C2211yescharacteristic
22C2×#492C2211yescharacteristic
23C2×#489C2214yes—
24C2×#487C2211yescharacteristic
25C2×#486C2211yescharacteristic
26C2×#468C2214yes—
27C2×C4×D8C2214yes—
28C2×#431C2211yescharacteristic
29C2×C4×M16C2211yescharacteristic
30#2868C2211yescharacteristic
31#2859C2211yescharacteristic
32#2858C2211yescharacteristic
33#2858C2211yescharacteristic
34#2857C2211yescharacteristic
35#2857C2211yescharacteristic
36#2856C2211yescharacteristic
37#2856C2211yescharacteristic
38#2644—21no—
39#2640—21no—
40#2624—21no—
41#2620—21no—
42#2513—21no—
43#2512—21no—
44#2512C2212yes—
45#2491—21no—
46#2491C2212yes—
47#2490—21no—
48#2454—21no—
49#2452—21no—
50#2452C2212yes—
51#2448C2212yes—
52#2447C2212yes—
53#2427C2212yes—
54#2426C2212yes—
55#2422—21no—
56#2422C2212yes—
57#2420—21no—
58#2326—21no—
59#2324—21no—
60#2319—21no—
61C4×C4⋊Q8C2211yescharacteristic
62C4×C4⋊Q8C2211yescharacteristic
63C4×#127C2211yescharacteristic
64C4×#127C2211yescharacteristic
65C4×#117C2211yescharacteristic
66#2083C2214yes—
67#2068C2214yes—
68#2057C2214yes—
69#2054C2214yes—
70#2036C2214yes—
71#2012C2214yes—
72#2012C2214yes—
73#1999C2214yes—
74#1990C2211yescharacteristic
75#1990C2211yescharacteristic
76#1973C2214yes—
77#1970C2214yes—
78#1959C2214yes—
79#1957C2211yescharacteristic
80#1957C2211yescharacteristic
81#1957C2211yescharacteristic
82#1957C2211yescharacteristic
83#1956C2211yescharacteristic
84#1956C2211yescharacteristic
85#1936C2214yes—
86#1936C2214yes—
87#1936C2214yes—
88#1933C2214yes—
89#1925C2214yes—
90#1895C2214yes—
91#1880C2214yes—
92#1877C2214yes—
93#1862C2214yes—
94#1845C2211yescharacteristic
95#1845C2211yescharacteristic
96#1834C2211yescharacteristic
97#1834C2211yescharacteristic
98#1771C2212yes—
99#1771C2212yes—
100C4×#103C2214yes—
101#1753C2212yes—
102#1753C2212yes—
103#1744C2211yescharacteristic
104#1744C2211yescharacteristic
105C4×#97C2211yescharacteristic
106C42×C8C2211yescharacteristic
107C22×SD16C2314yes—
108C22×D8C2314yes—
109C22×M16C2312yes—
110#542—48no—
111C2×C4⋊Q8—21no—
112C2×C4⋊Q8—21no—
113C2×C4⋊Q8C2311yescharacteristic
114C2×C4⋊Q8C2311yescharacteristic
115C2×C4⋊Q8C2312yes—
116C2×#127C2311yescharacteristic
117C2×#127C2311yescharacteristic
118C2×#126—22no—
119C2×#125—21no—
120C2×#124—22no—
121C2×#124—21no—
122C2×#124—21no—
123C2×#124C2312yes—
124C2×#124C2312yes—
125C2×#123—22no—
126C2×C22⋊Q8—21no—
127C2×C22⋊Q8—22no—
128C2×C22⋊Q8C2312yes—
129C2×#121—21no—
130C2×#121—21no—
131C2×#121—21no—
132C2×#121—21no—
133C2×#121C2312yes—
134C2×#121C2312yes—
135C2×C4×Q8—21no—
136C2×C4×Q8C2312yes—
137C2×C4×D4—21no—
138C2×C4×D4—21no—
139C2×C4×D4—21no—
140C2×C4×D4—21no—
141C2×C4×D4C2312yes—
142C2×C4×D4C2312yes—
143C2×#117D411yescharacteristic
144C2×#117D411yescharacteristic
145C22×C42C2311yescharacteristic
146#493—24no—
147#492—24no—
148#489—48no—
149#487—24no—
150#486—24no—
151#468—48no—
152C4×D8—48no—
153#431—24no—
154C2×#107C2314yes—
155C2×#107C2314yes—
156C2×C4⋊C8C2312yes—
157C2×#103C2314yes—
158C2×#103C2314yes—
159C2×#103C2314yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×C22⋊C8C2312yes—
166C4×M16—24no—
167C2×#97C2312yes—
168C2×#97C2312yes—
169C2×#97C2312yes—
170C2×C4×C8C2311yescharacteristic
171C2×C4×C8C2311yescharacteristic
172C2×C4×C8C2312yes—
173C2×C4×C8C2312yes—
174C2×C4×C8C2311yescharacteristic
175C2×C4×C8C2311yescharacteristic
176#399—22no—
177#397—22no—
178#397—22no—
179#397—22no—
180#397—22no—
181#397—22no—
182#397—22no—
183#396—22no—
184#396—22no—
185#396—22no—
186#394—22no—
187#394—22no—
188#394—22no—
189#394—22no—
190#393—22no—
191#393—22no—
192#391—21no—
193#391—21no—
194#391C2312yes—
195#391C2312yes—
196#390—22no—
197#390—21no—
198#390—21no—
199#390—21no—
200#390—21no—
201#390—21no—
202#390—21no—
203#390—21no—
204#390—21no—
205#390—21no—
206#390—21no—
207#390—21no—
208#390—21no—
209#390—21no—
210#390—21no—
211#390C2312yes—
212#390C2312yes—
213#390C2312yes—
214#390C2312yes—
215#390C2312yes—
216#390C2312yes—
217#389—21no—
218#389—21no—
219#389—21no—
220#389—21no—
221#389—21no—
222#389—21no—
223#389—21no—
224#389—21no—
225#389C2312yes—
226#389C2312yes—
227#389C2312yes—
228#389C2312yes—
229#388—22no—
230#388—22no—
231#388—22no—
232#388—22no—
233#388—22no—
234#386—22no—
235#385—22no—
236#385—22no—
237#385—22no—
238#384—21no—
239#384—21no—
240#384C2311yescharacteristic
241#384C2311yescharacteristic
242#384C2311yescharacteristic
243#384C2311yescharacteristic
244#384C2312yes—
245#382—21no—
246#381—22no—
247#380—21no—
248#380—21no—
249#380—21no—
250#380—22no—
251#380C2312yes—
252C4×C4⋊C4—21no—
253C4×C4⋊C4—21no—
254C4×C4⋊C4—21no—
255C4×C4⋊C4D411yescharacteristic
256C4×C4⋊C4D411yescharacteristic
257C4×C4⋊C4C2312yes—
258C4×C4⋊C4C2311yescharacteristic
259C4×C4⋊C4C2311yescharacteristic
260C4×C22⋊C4D411yescharacteristic
261C4×C22⋊C4D411yescharacteristic
262C4×C22⋊C4C2311yescharacteristic
263C4×C22⋊C4C2311yescharacteristic
264#376D411yescharacteristic
265#376D411yescharacteristic
266C43C2311yescharacteristic
267C43C2311yescharacteristic
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#336C2312yes—
273#336C2312yes—
274#336C2312yes—
275#336C2312yes—
276C22×Q8—21no—
277C22×Q8—22no—
278C22×Q8C2412yes—
279C22×D4—22no—
280C22×D4—22no—
281C22×D4—21no—
282C22×D4—21no—
283C22×D4—21no—
284C22×D4—21no—
285C22×D4C2412yes—
286C22×D4C2412yes—
287C23×C4—22no—
288C23×C4—22no—
289C23×C4C2×D411yescharacteristic
290C23×C4C2×D411yescharacteristic
291C23×C4C2411yescharacteristic
292C2×SD16—28no—
293C2×SD16—44no—
294C2×SD16—44no—
295C2×D8—28no—
296C2×D8—44no—
297C2×D8—44no—
298C2×M16—24no—
299C2×M16—24no—
300C2×M16—42no—
301C22×C8C2412yes—
302C22×C8C2412yes—
303C22×C8C2412yes—
304C22×C8C2412yes—
305C4⋊Q8—22no—
306C4⋊Q8—22no—
307C4⋊Q8—22no—
308C4⋊Q8—22no—
309C4⋊Q8—44no—
310C4⋊Q8—44no—
311C4⋊Q8—82no—
312#127—22no—
313#127—22no—
314#127—22no—
315#127—22no—
316#126—48no—
317#125—82no—
318#124—44no—
319#124—44no—
320#124—44no—
321#124—44no—
322#124—48no—
323#123—48no—
324C22⋊Q8—48no—
325C22⋊Q8—44no—
326C22⋊Q8—44no—
327#121—44no—
328#121—44no—
329#121—44no—
330#121—44no—
331#121—82no—
332#121—82no—
333C4×Q8—44no—
334C4×Q8—44no—
335C4×D4—44no—
336C4×D4—44no—
337C4×D4—44no—
338C4×D4—44no—
339C4×D4—82no—
340C4×D4—82no—
341#117—24no—
342#117—42no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—21no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4C2×D411yescharacteristic
364C2×C4⋊C4C2×D411yescharacteristic
365C2×C4⋊C4C2×D411yescharacteristic
366C2×C4⋊C4C2×D411yescharacteristic
367C2×C4⋊C4C2412yes—
368C2×C4⋊C4C2412yes—
369C2×C4⋊C4C2412yes—
370C2×C4⋊C4C2412yes—
371C2×C4⋊C4C2412yes—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
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—22no—
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—22no—
392C2×C22⋊C4—22no—
393C2×C22⋊C4—22no—
394C2×C22⋊C4C2×D411yescharacteristic
395C2×C22⋊C4C2×D411yescharacteristic
396C2×C22⋊C4C2×D411yescharacteristic
397C2×C22⋊C4C2×D411yescharacteristic
398C2×C42—22no—
399C2×C42—22no—
400C2×C42—22no—
401C2×C42—22no—
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2×D411yescharacteristic
411C2×C42C2×D411yescharacteristic
412C2×C42C2411yescharacteristic
413C2×C42C2411yescharacteristic
414C2×C42C2411yescharacteristic
415C2×C42C2411yescharacteristic
416C2×C42C2411yescharacteristic
417C2×C42C2411yescharacteristic
418#107—44no—
419#107—44no—
420C4⋊C8—24no—
421#103—28no—
422#103—28no—
423#103—44no—
424#102—28no—
425#102—28no—
426#102—28no—
427#102—44no—
428#102—44no—
429C22⋊C8—24no—
430#97—24no—
431#97—24no—
432#97—42no—
433C4×C8—24no—
434C4×C8—22no—
435C4×C8—22no—
436C4×C8—42no—
437C4×C8#4114yes—
438C4×C8#4114yes—
439#95—22no—
440#95—22no—
441#95—22no—
442#95—22no—
443#95—22no—
444#95—22no—
445#95—22no—
446#95—22no—
447#95—22no—
448#95—22no—
449#95C2×D411yescharacteristic
450#95C2×D411yescharacteristic
451#95C2×D411yescharacteristic
452#95C2×D411yescharacteristic
453#95C2×D411yescharacteristic
454#95C2×D411yescharacteristic
455#95C2×D411yescharacteristic
456#95C2×D411yescharacteristic
457C24—22no—
458C24—22no—
459C24C22×D411yescharacteristic
460C2×Q8—22no—
461C2×Q8—22no—
462C2×Q8—24no—
463C2×Q8—24no—
464C2×Q8—44no—
465C2×Q8—42no—
466C2×Q8—42no—
467C2×Q8—42no—
468C2×Q8—82no—
469C2×Q8—82no—
470C2×D4—22no—
471C2×D4—22no—
472C2×D4—22no—
473C2×D4—22no—
474C2×D4—24no—
475C2×D4—24no—
476C2×D4—24no—
477C2×D4—24no—
478C2×D4—44no—
479C2×D4—44no—
480C2×D4—42no—
481C2×D4—42no—
482C2×D4—42no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4—42no—
486C2×D4—42no—
487C2×D4—42no—
488C2×D4—42no—
489C2×D4—42no—
490C2×D4—42no—
491C2×D4—42no—
492C2×D4—82no—
493C2×D4—82no—
494C2×D4—82no—
495C2×D4—82no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—44no—
513C22×C4—44no—
514C22×C4—82no—
515C22×C4—82no—
516C22×C4—82no—
517C22×C4—82no—
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C2511yescharacteristic
532SD16—88no—
533D8—416no—
534M16—48no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8C2×#4114yes—
545C2×C8C2×#4114yes—
546C2×C8H(5,𝔽2)14yes—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—24no—
554C4⋊C4—24no—
555C4⋊C4—41no—
556C4⋊C4—41no—
557C4⋊C4—44no—
558C4⋊C4—44no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—44no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—82no—
572C4⋊C4—82no—
573C4⋊C4—82no—
574C4⋊C4—82no—
575C4⋊C4—82no—
576C4⋊C4—82no—
577C22⋊C4—22no—
578C22⋊C4—22no—
579C22⋊C4—41no—
580C22⋊C4—41no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C22⋊C4—82no—
591C22⋊C4—82no—
592C22⋊C4—82no—
593C22⋊C4—82no—
594C22⋊C4—82no—
595C22⋊C4—82no—
596C22⋊C4—82no—
597C22⋊C4—82no—
598C22⋊C4—82no—
599C22⋊C4—82no—
600C22⋊C4—82no—
601C22⋊C4—82no—
602C22⋊C4—82no—
603C42—22no—
604C42—22no—
605C42—22no—
606C42—22no—
607C42—22no—
608C42—22no—
609C42—22no—
610C42—22no—
611C42—22no—
612C42—21no—
613C42—21no—
614C42—22no—
615C42—22no—
616C42—22no—
617C42—22no—
618C42—44no—
619C42—82no—
620C42AGL(1,ℤ/8)14yes—
621C42C2×#4112yes—
622C42C2×#4112yes—
623C23—21no—
624C23—21no—
625C23—21no—
626C23—21no—
627C23—21no—
628C23—21no—
629C23—21no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23C23×D411yescharacteristic
645Q8—44no—
646Q8—44no—
647Q8—84no—
648Q8—164no—
649D4—44no—
650D4—44no—
651D4—44no—
652D4—44no—
653D4—84no—
654D4—84no—
655D4—84no—
656D4—84no—
657D4—164no—
658D4—164no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—164no—
713C2×C4—164no—
714C2×C4#53212yes—
715C2×C4#53212yes—
716C2×C4C2×AGL(1,ℤ/8)12yes—
717C2×C4C2×AGL(1,ℤ/8)12yes—
718C2×C4C2×AGL(1,ℤ/8)12yes—
719C2×C4#57512yes—
720C2×C4#57612yes—
721C2×C4#57812yes—
722C2×C4C22×#4111yescharacteristic
723C2×C4C22×#4111yescharacteristic
724C2×C4C2×H(5,𝔽2)12yes—
725C2×C4#58512yes—
726C8—24no—
727C8—24no—
728C8—24no—
729C8—42no—
730C22—41no—
731C22—41no—
732C22—41no—
733C22—41no—
734C22—41no—
735C22—41no—
736C22—41no—
737C22—82no—
738C22—82no—
739C22—82no—
740C22—82no—
741C22—82no—
742C22—82no—
743C22—82no—
744C22—82no—
745C22—82no—
746C22—82no—
747C22—82no—
748C22—82no—
749C22—82no—
750C22—82no—
751C22C2×#53211yescharacteristic
752C22#349811yescharacteristic
753C22#350011yescharacteristic
754C22C22×AGL(1,ℤ/8)11yescharacteristic
755C22C2×#57511yescharacteristic
756C22C2×#57611yescharacteristic
757C22C2×#57811yescharacteristic
758C4—22no—
759C4—22no—
760C4—41no—
761C4—41no—
762C4—41no—
763C4—41no—
764C4—41no—
765C4—41no—
766C4—41no—
767C4—41no—
768C4—41no—
769C4—82no—
770C4—82no—
771C4—82no—
772C4—82no—
773C4—82no—
774C4—82no—
775C4#317114yes—
776C4#317514yes—
777C4#346012yes—
778C4#349412yes—
779C2—81no—
780C2—162no—
781C2—162no—
782C2#3527611yescharacteristic
783C2C2×#317111yescharacteristic
784C2C2×#317511yescharacteristic
785C2#6242311yescharacteristic
786C2#6242511yescharacteristic
787C2#6253811yescharacteristic
788C2#6254611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#29806C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #35288C2semidirect
2. #35277C2semidirect
3. #33286C2semidirect
4. #33230C2semidirect
5. #33174C2semidirect
6. #33048C2semidirect
7. #30304C2semidirect
8. #30260C2semidirect
9. #29844C2semidirect
11. #28919C2semidirect
12. #28891C2semidirect
13. #26969C2semidirect
14. #26826C2semidirect
15. #22268C2semidirect
16. #22220C2semidirect
17. C4×#493C2semidirect
18. C4×#487C2semidirect
19. #20472C2semidirect

Maximal subgroups

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

subgroupindex
#352882
#352772
#332862
#332302
#331742
#330482
#303042
#302602
#298442
#298062
#289192
#288912
#269692
#268262
#222682
#222202
C4×#4932
C4×#4872
#204722