Finite Group Databasebeta

← #6594375

Subgroups — #6594375

Order 512.

1676 conjugacy classes of subgroups.

The subgroup lattice has 753 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36189C211yesmaximal, characteristic
2#36180C211yesmaximal, characteristic
3#33316C211yesmaximal, characteristic, complemented
4#33210C211yesmaximal, characteristic, complemented
5#33207C211yesmaximal, characteristic, complemented
6#29208C211yesmaximal, characteristic, complemented
7#29207C211yesmaximal, characteristic, complemented
8#28838C214yesmaximal, complemented
9#27950C211yesmaximal, characteristic, complemented
10#27950C211yesmaximal, characteristic, complemented
11#27949C211yesmaximal, characteristic, complemented
12#27948C211yesmaximal, characteristic, complemented
13#26077C214yesmaximal, complemented
14#26071C214yesmaximal, complemented
15#22661C214yesmaximal
16#21727C211yesmaximal, characteristic, complemented
17#20800C211yesmaximal, characteristic, complemented
18C2×#1845C211yesmaximal, characteristic, complemented
19C4×#435C211yesmaximal, characteristic
20C2×#554—21no—
21C2×#501C2214yes—
22C2×#498C2211yescharacteristic
23C2×#435C2212yes—
24C2×#428C2214yes—
25C22×#107C2214yes—
26C2×C4×M16C2211yescharacteristic
27C22×C4×C8C2211yescharacteristic
28#2868C2211yescharacteristic
29#2859C2211yescharacteristic
30#2857C2211yescharacteristic
31#2857C2211yescharacteristic
32#2857C2211yescharacteristic
33#2857C2211yescharacteristic
34#2570C2212yes—
35#2567—21no—
36#2552—21no—
37#2552C2212yes—
38#2511—21no—
39#2507—21no—
40#2502—21no—
41#2502—21no—
42#2497—21no—
43#2487—21no—
44#2442C2212yes—
45#2441C2212yes—
46#2440—21no—
47#2440—21no—
48#2440C2212yes—
49#2440C2212yes—
50#2423—21no—
51#2417—21no—
52#2360—21no—
53#2352C2212yes—
54D4×C4⋊C4—21no—
55D4×C4⋊C4C2212yes—
56#2345—21no—
57C4×C4⋊Q8C2211yescharacteristic
58C4×C4⋊Q8C2211yescharacteristic
59#2285C2211yescharacteristic
60C2×#384C2211yescharacteristic
61C2×#384C2211yescharacteristic
62C2×#384C2211yescharacteristic
63C42×D4C2211yescharacteristic
64#2085C2214yes—
65#2084C2214yes—
66#2083C2214yes—
67#2083C2214yes—
68#2059C2214yes—
69#2057C2214yes—
70#1990C2211yescharacteristic
71#1990C2211yescharacteristic
72#1990C2211yescharacteristic
73#1990C2211yescharacteristic
74#1990C2211yescharacteristic
75#1990C2211yescharacteristic
76#1949C2214yes—
77#1947C2214yes—
78#1944C2214yes—
79#1943C2214yes—
80#1941C2214yes—
81#1854C2214yes—
82#1853C2214yes—
83#1852C2214yes—
84#1852C2214yes—
85#1847C2214yes—
86#1847C2214yes—
87#1845C2211yescharacteristic
88#1845C2211yescharacteristic
89#1845C2211yescharacteristic
90#1845C2211yescharacteristic
91#1845C2211yescharacteristic
92#1845C2211yescharacteristic
93#1845C2214yes—
94#1844C2211yescharacteristic
95#1844C2211yescharacteristic
96#1844C2211yescharacteristic
97#1809C2214yes—
98#1807C2214yes—
99#1776C2214yes—
100#1771C2212yes—
101C4×C4⋊C8C2211yescharacteristic
102#1753C2212yes—
103#1752C2212yes—
104C4×C22⋊C8C2211yescharacteristic
105C4×C22⋊C8C2211yescharacteristic
106C4×#97C2211yescharacteristic
107C22×M16C2312yes—
108C23×C8C2312yes—
109#554—48no—
110C2×C4⋊Q8—21no—
111C2×C4⋊Q8—21no—
112C2×C4⋊Q8C2311yescharacteristic
113C2×C4⋊Q8C2311yescharacteristic
114C2×C4⋊Q8C2312yes—
115C2×#125—22no—
116C2×#125C2312yes—
117C2×C22⋊Q8—21no—
118C2×C22⋊Q8—21no—
119C2×C22⋊Q8—21no—
120C2×C22⋊Q8—21no—
121C2×C22⋊Q8—22no—
122C2×C22⋊Q8—22no—
123C2×C4×Q8—21no—
124C2×C4×Q8—21no—
125C2×C4×D4—22no—
126C2×C4×D4D411yescharacteristic
127C2×C4×D4D411yescharacteristic
128C2×C4×D4C2311yescharacteristic
129C2×#117C2312yes—
130C22×C4⋊C4—21no—
131C22×C4⋊C4—21no—
132C22×C4⋊C4—21no—
133C22×C4⋊C4—21no—
134C22×C4⋊C4—21no—
135C22×C4⋊C4—21no—
136C22×C4⋊C4C2312yes—
137C22×C4⋊C4C2312yes—
138C22×C4⋊C4C2312yes—
139C22×C42C2311yescharacteristic
140C22×C42C2311yescharacteristic
141#501—48no—
142#498—24no—
143#435Q8116yescomplemented
144#428—48no—
145C2×#107—48no—
146C2×#107C2314yes—
147C2×#107C2314yes—
148C2×#107C2314yes—
149C2×#107C2314yes—
150C2×#107C2314yes—
151C2×#107C2314yes—
152C2×#106C2314yes—
153C2×#106C2314yes—
154C2×#106C2314yes—
155C2×#106C2314yes—
156C2×C4⋊C8C2312yes—
157C2×C22⋊C8C2312yes—
158C2×C22⋊C8C2312yes—
159C4×M16—24no—
160C2×#97C2312yes—
161C2×#97C2312yes—
162C2×#97C2312yes—
163C2×C4×C8—24no—
164C2×C4×C8C2311yescharacteristic
165C2×C4×C8C2311yescharacteristic
166C2×C4×C8C2312yes—
167C2×C4×C8C2311yescharacteristic
168C2×C4×C8C2311yescharacteristic
169#400—22no—
170#400—22no—
171#399—22no—
172#398—22no—
173#398—22no—
174#398—22no—
175#398—22no—
176#398—22no—
177#398—22no—
178#396—22no—
179#395—22no—
180#395—22no—
181#391—21no—
182#391—21no—
183#391—21no—
184#391—21no—
185#391—21no—
186#391—21no—
187#389—22no—
188#389—22no—
189#389—21no—
190#389—21no—
191#389—21no—
192#389—21no—
193#389—21no—
194#389—21no—
195#389—21no—
196#389—21no—
197#389—21no—
198#389—21no—
199#389—22no—
200#389C2312yes—
201#389C2312yes—
202#389C2312yes—
203#389C2312yes—
204#389C2312yes—
205#389C2312yes—
206#388—22no—
207#387—22no—
208#387—22no—
209#387—22no—
210#387—22no—
211#386—22no—
212#385—22no—
213#385—22no—
214#385—22no—
215#385—22no—
216#385—22no—
217#384—21no—
218#384—21no—
219#384—21no—
220#384—21no—
221#384—21no—
222#384—21no—
223#384—21no—
224#384—21no—
225#384C2311yescharacteristic
226#384C2311yescharacteristic
227#384C2312yes—
228#384C2312yes—
229#384C2312yes—
230#384C2311yescharacteristic
231#384C2311yescharacteristic
232#384C2311yescharacteristic
233#384C2311yescharacteristic
234#384C2312yes—
235#382C2312yes—
236#382C2312yes—
237#380—21no—
238#380—21no—
239#380—21no—
240#380—21no—
241#380—21no—
242#380—21no—
243#380—22no—
244#380C2312yes—
245#380C2312yes—
246#380C2312yes—
247#380C2312yes—
248C4×C4⋊C4—21no—
249C4×C4⋊C4—21no—
250C4×C4⋊C4—21no—
251C4×C4⋊C4—21no—
252C4×C4⋊C4D411yescharacteristic
253C4×C4⋊C4D411yescharacteristic
254C4×C4⋊C4C2312yes—
255C4×C4⋊C4C2312yes—
256C4×C4⋊C4C2311yescharacteristic
257C4×C22⋊C4—22no—
258C4×C22⋊C4D411yescharacteristic
259C4×C22⋊C4D411yescharacteristic
260C4×C22⋊C4D411yescharacteristic
261C4×C22⋊C4D411yescharacteristic
262C4×C22⋊C4C2311yescharacteristic
263C4×C22⋊C4C2311yescharacteristic
264C43C2311yescharacteristic
265#340C2314yes—
266#340C2314yes—
267#340C2314yes—
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#336C2312yes—
272#336C2312yes—
273#336C2312yes—
274C22×Q8—21no—
275C22×Q8—21no—
276C22×Q8—22no—
277C22×D4C2×D411yescharacteristic
278C23×C4—22no—
279C23×C4—22no—
280C23×C4—22no—
281C23×C4C2×D411yescharacteristic
282C23×C4C2×D411yescharacteristic
283C23×C4C2×D411yescharacteristic
284C23×C4C2×D411yescharacteristic
285C23×C4C2411yescharacteristic
286C23×C4C2411yescharacteristic
287C2×M16—24no—
288C2×M16—24no—
289C2×M16C2×Q818yes—
290C22×C8—24no—
291C22×C8—24no—
292C22×C8C2×Q818yes—
293C22×C8C2412yes—
294C22×C8C2412yes—
295C22×C8C2412yes—
296C22×C8C2412yes—
297C4⋊Q8—22no—
298C4⋊Q8—22no—
299C4⋊Q8—22no—
300C4⋊Q8—22no—
301C4⋊Q8—44no—
302C4⋊Q8—44no—
303C4⋊Q8—82no—
304#125—44no—
305#125—48no—
306C22⋊Q8—48no—
307C22⋊Q8—48no—
308C22⋊Q8—44no—
309C22⋊Q8—44no—
310C22⋊Q8—44no—
311C22⋊Q8—82no—
312C4×Q8—44no—
313C4×Q8—82no—
314C4×D4—24no—
315C4×D4—24no—
316C4×D4—48no—
317C4×D4C2×Q818yes—
318#117—44no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
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—22no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—22no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
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—44no—
354C2×C4⋊C4—44no—
355C2×C4⋊C4—44no—
356C2×C4⋊C4—44no—
357C2×C4⋊C4—44no—
358C2×C4⋊C4—44no—
359C2×C4⋊C4—82no—
360C2×C4⋊C4—82no—
361C2×C4⋊C4—82no—
362C2×C4⋊C4C2×D411yescharacteristic
363C2×C4⋊C4C2×D411yescharacteristic
364C2×C4⋊C4C2×D411yescharacteristic
365C2×C4⋊C4C2412yes—
366C2×C4⋊C4C2412yes—
367C2×C4⋊C4C2412yes—
368C2×C4⋊C4C2412yes—
369C2×C4⋊C4C2412yes—
370C2×C4⋊C4C2412yes—
371C2×C4⋊C4C2412yes—
372C2×C4⋊C4C2412yes—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4C2×D411yescharacteristic
379C2×C22⋊C4C2×D411yescharacteristic
380C2×C22⋊C4C2×D411yescharacteristic
381C2×C22⋊C4C2×D411yescharacteristic
382C2×C22⋊C4C2×D411yescharacteristic
383C2×C22⋊C4C2×D411yescharacteristic
384C2×C42—22no—
385C2×C42—22no—
386C2×C42—22no—
387C2×C42—22no—
388C2×C42—22no—
389C2×C42—22no—
390C2×C42—22no—
391C2×C42C2×D411yescharacteristic
392C2×C42C2×D411yescharacteristic
393C2×C42C2×D411yescharacteristic
394C2×C42C2×D411yescharacteristic
395C2×C42C2×D411yescharacteristic
396C2×C42C2×D411yescharacteristic
397C2×C42C2×D411yescharacteristic
398C2×C42C2×D411yescharacteristic
399C2×C42C2411yescharacteristic
400C2×C42C2411yescharacteristic
401C2×C42C2411yescharacteristic
402C2×C42C2411yescharacteristic
403C2×C42C2411yescharacteristic
404#107—28no—
405#107—28no—
406#107—44no—
407#107—44no—
408#107—44no—
409#107—44no—
410#106—28no—
411#106—28no—
412#106—44no—
413#106—44no—
414C4⋊C8C2×Q818yes—
415C22⋊C8C2×Q818yes—
416C22⋊C8C2×Q818yes—
417#97—24no—
418#97—24no—
419#97C2×Q818yes—
420C4×C8—24no—
421C4×C8—22no—
422C4×C8—22no—
423C4×C8—22no—
424C4×C8#4114yes—
425#95—22no—
426#95—22no—
427#95—22no—
428#95—22no—
429#95—22no—
430#95—22no—
431#95—22no—
432#95—22no—
433#95—22no—
434#95—22no—
435#95—22no—
436#95—22no—
437#95—22no—
438#95—22no—
439#95—22no—
440#95—22no—
441#95C2×D411yescharacteristic
442#95C2×D411yescharacteristic
443#95C2×D411yescharacteristic
444#95C2×D411yescharacteristic
445#95C2×D411yescharacteristic
446#95C2×D411yescharacteristic
447C24C22×D411yescharacteristic
448C24C22×D411yescharacteristic
449C2×Q8—44no—
450C2×Q8—42no—
451C2×Q8—42no—
452C2×Q8—42no—
453C2×Q8—42no—
454C2×Q8—42no—
455C2×Q8—42no—
456C2×Q8—82no—
457C2×Q8—82no—
458C2×D4—22no—
459C2×D4—22no—
460C2×D4C4⋊Q814yes—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—44no—
486C22×C4—44no—
487C22×C4—44no—
488C22×C4—82no—
489C22×C4—82no—
490C22×C4—82no—
491C22×C4—82no—
492C22×C4—82no—
493C22×C4—82no—
494C22×C4AGL(1,ℤ/8)14yes—
495C22×C4#13714yes—
496C22×C4C22×D411yescharacteristic
497C22×C4C22×D411yescharacteristic
498C22×C4C22×D411yescharacteristic
499C22×C4C22×D411yescharacteristic
500C22×C4C22×D411yescharacteristic
501C22×C4C22×D411yescharacteristic
502C22×C4C22×D411yescharacteristic
503C22×C4C22×D411yescharacteristic
504C22×C4C22×D411yescharacteristic
505C22×C4C22×D411yescharacteristic
506C22×C4C22×D411yescharacteristic
507C22×C4C22×D411yescharacteristic
508C22×C4C22×Q814yes—
509C22×C4C22×Q814yes—
510C22×C4C2511yescharacteristic
511M16—216no—
512C2×C8—22no—
513C2×C8—22no—
514C2×C8—22no—
515C2×C8—22no—
516C2×C8—22no—
517C2×C8—22no—
518C2×C8—216no—
519C2×C8C22×Q814yes—
520C2×C8C22×Q814yes—
521C2×C8C22×Q814yes—
522C2×C8C22×Q814yes—
523C2×C8C2×#4114yes—
524C2×C8H(5,𝔽2)14yes—
525C4⋊C4—22no—
526C4⋊C4—22no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—24no—
530C4⋊C4—24no—
531C4⋊C4—24no—
532C4⋊C4—24no—
533C4⋊C4—24no—
534C4⋊C4—24no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—44no—
538C4⋊C4—44no—
539C4⋊C4—44no—
540C4⋊C4—44no—
541C4⋊C4—42no—
542C4⋊C4—42no—
543C4⋊C4—44no—
544C4⋊C4—42no—
545C4⋊C4—42no—
546C4⋊C4—42no—
547C4⋊C4—44no—
548C4⋊C4—42no—
549C4⋊C4—42no—
550C4⋊C4—44no—
551C4⋊C4—42no—
552C4⋊C4—44no—
553C4⋊C4—42no—
554C4⋊C4—42no—
555C4⋊C4—42no—
556C4⋊C4—42no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—82no—
560C4⋊C4—82no—
561C4⋊C4—82no—
562C4⋊C4—82no—
563C4⋊C4—82no—
564C4⋊C4—82no—
565C4⋊C4—82no—
566C4⋊C4—82no—
567C4⋊C4—82no—
568C4⋊C4—82no—
569C4⋊C4—82no—
570C4⋊C4—82no—
571C4⋊C4C4⋊Q814yes—
572C22⋊C4—22no—
573C22⋊C4—22no—
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—44no—
577C22⋊C4—44no—
578C22⋊C4—44no—
579C22⋊C4—82no—
580C22⋊C4—82no—
581C22⋊C4C4⋊Q814yes—
582C22⋊C4C4⋊Q814yes—
583C42—22no—
584C42—22no—
585C42—22no—
586C42—22no—
587C42—22no—
588C42—22no—
589C42—22no—
590C42—22no—
591C42—21no—
592C42—21no—
593C42—22no—
594C42—21no—
595C42—21no—
596C42—44no—
597C42—82no—
598C42—82no—
599C42C22×Q814yes—
600C42C2×#4112yes—
601C422−1+412yes—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23C2×C4⋊Q812yes—
613C23C2×C4⋊Q812yes—
614C23C2×AGL(1,ℤ/8)12yes—
615C23C2×#13712yes—
616C23C23×D411yescharacteristic
617Q8—84no—
618Q8—84no—
619Q8—164no—
620D4—28no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—28no—
634C2×C4—28no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—44no—
652C2×C4—44no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—164no—
678C2×C4—164no—
679C2×C4—164no—
680C2×C4C2×C4⋊Q812yes—
681C2×C4C2×C4⋊Q812yes—
682C2×C4C2×C4⋊Q812yes—
683C2×C4C2×C4⋊Q812yes—
684C2×C4#54712yes—
685C2×C4#54712yes—
686C2×C4C2×AGL(1,ℤ/8)12yes—
687C2×C4C2×AGL(1,ℤ/8)12yes—
688C2×C4C2×#13712yes—
689C2×C4C2×#13712yes—
690C2×C4#57612yes—
691C2×C4#57812yes—
692C2×C4C23×Q812yes—
693C2×C4C22×#4111yescharacteristic
694C2×C4C2×H(5,𝔽2)12yes—
695C2×C4C2×2−1+411yescharacteristic
696C8—24no—
697C8—24no—
698C8—24no—
699C8#55418yescomplemented
700C22—22no—
701C22—22no—
702C22—22no—
703C22—22no—
704C22—22no—
705C22—22no—
706C22—22no—
707C22—22no—
708C22—22no—
709C22—41no—
710C22—41no—
711C22—41no—
712C22—41no—
713C22#316514yes—
714C22C22×C4⋊Q811yescharacteristic
715C22C2×#54711yescharacteristic
716C22#349811yescharacteristic
717C22C22×AGL(1,ℤ/8)11yescharacteristic
718C22C22×#13711yescharacteristic
719C22C2×#57611yescharacteristic
720C22C2×#57811yescharacteristic
721C4—22no—
722C4—22no—
723C4—22no—
724C4—22no—
725C4—22no—
726C4—22no—
727C4—41no—
728C4—41no—
729C4—41no—
730C4—41no—
731C4—82no—
732C4—82no—
733C4—82no—
734C4—82no—
735C4—82no—
736C4—82no—
737C4—82no—
738C4—82no—
739C4#334314yes—
740C4#334614yes—
741C4C2×#55412yes—
742C4#350312yes—
743C2—24no—
744C2—42no—
745C2#3618011yescharacteristic
746C2C2×#316511yescharacteristic
747C2#6066711yescharacteristic
748C2C2×#334311yescharacteristic
749C2C2×#334611yescharacteristic
750C2#6242311yescharacteristic
751C2#6242411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×D4C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
3. #33316C2semidirect
4. #33210C2semidirect
5. #33207C2semidirect
6. #29208C2semidirect
7. #29207C2semidirect
8. #28838C2semidirect
9. #27950C2semidirect
10. #27950C2semidirect
11. #27949C2semidirect
12. #27948C2semidirect
13. #26077C2semidirect
14. #26071C2semidirect
16. #21727C2semidirect
17. #20800C2semidirect
18. C2×#1845C2semidirect
143. #435Q8semidirect
699. C8#554semidirect

Maximal subgroups

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

subgroupindex
#361892
#361802
#333162
#332102
#332072
#292082
#292072
#288382
#279502
#279492
#279482
#260772
#260712
#226612
#217272
#208002
C2×#18452
C4×#4352