Finite Group Databasebeta

← #7643048

Subgroups — #7643048

Order 512.

5750 conjugacy classes of subgroups.

The subgroup lattice has 755 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#40026C218yesmaximal, complemented
2#39996C218yesmaximal, complemented
3#39513C212yesmaximal, complemented
4#39507C212yesmaximal, complemented
5#39386C212yesmaximal, complemented
6#39378C212yesmaximal, complemented
7#39202C214yesmaximal, complemented
8#39191C214yesmaximal, complemented
9#36759C218yesmaximal, complemented
10#36644C211yesmaximal, characteristic, complemented
11#36640C211yesmaximal, characteristic, complemented
12#35533C214yesmaximal, complemented
13#35517C214yesmaximal, complemented
14#35261C214yesmaximal, complemented
15#35165C212yesmaximal, complemented
16#35081C214yesmaximal, complemented
17#34206C212yesmaximal, complemented
18C2×#2293C211yesmaximal, characteristic, complemented
19C2×#540C2214yescomplemented
20C2×#535C2214yes—
21C2×#532C2212yes—
22C2×#532C2214yes—
23C2×#520C2214yes—
24C22×C4×D4C2211yescharacteristic
25C22×#117C2212yes—
26#2868C2211yescharacteristic, complemented
27#2867C2211yescharacteristic, complemented
28#2864C2214yescomplemented
29#2859C2212yescomplemented
30#2859C2211yescharacteristic, complemented
31#2859C2211yescharacteristic, complemented
32#2858C2212yescomplemented
33#2858C2214yescomplemented
34#2856C2212yes—
35#2856C2214yes—
36#2856C2212yes—
37#2851C2212yes—
38#2851C2214yes—
39#2851C2212yes—
40#2847C2218yes—
41#2803C22116yescomplemented
42#2797C22116yescomplemented
43#2793C22116yescomplemented
44#2753C22116yescomplemented
45#2752C22116yescomplemented
46#2711C22116yescomplemented
47#2701C22116yescomplemented
48#2673C22116yescomplemented
49#2648C22116yescomplemented
50#2629C2214yescomplemented
51#2624C2218yescomplemented
52#2619C2214yescomplemented
53#2617C2218yes—
54#2548C2218yes—
55#2547C2214yes—
56#2545C2218yes—
57#2544C2218yes—
58#2544C2218yes—
59#2541C2214yes—
60#2541C2218yes—
61#2537C2214yes—
62#2537C2214yes—
63#2535C2218yes—
64#2497C2218yescomplemented
65#2490C2218yescomplemented
66#2487C2218yescomplemented
67#2486C2218yescomplemented
68#2485C2218yescomplemented
69#2485C2218yescomplemented
70#2476C22116yescomplemented
71#2471C22116yescomplemented
72#2448C2218yescomplemented
73#2447C2218yescomplemented
74#2446C2218yescomplemented
75#2445C2218yescomplemented
76#2444C22116yes—
77#2443C22116yes—
78#2428C2218yescomplemented
79#2424C22116yes—
80#2424C22116yes—
81#2420C2218yescomplemented
82#2416C2218yes—
83#2416C2218yes—
84#2414C2218yes—
85#2414C2218yes—
86#2367C2218yescomplemented
87#2366C2214yescomplemented
88#2365C2214yescomplemented
89#2354C2214yescomplemented
90#2352C2218yescomplemented
91D4×C4⋊C4C2214yescomplemented
92#2333C22116yescomplemented
93#2325C2218yes—
94#2324C2218yescomplemented
95#2314C2214yescomplemented
96#2311C2214yes—
97#2311C2214yes—
98C4×#127C2212yescomplemented
99C4×#127C2214yescomplemented
100C4×#127C2212yescomplemented
101C4×#125C2212yescomplemented
102C4×#125C2212yescomplemented
103C4×#125C2214yescomplemented
104C4×#121C2218yes—
105#2296C2214yes—
106#2293C2212yes—
107#2293C2212yes—
108#2293C2214yes—
109#2293C2212yes—
110#2293C2212yes—
111#2293C2214yes—
112C2×#390C2212yes—
113C2×#389C2212yes—
114C2×#388C2214yes—
115#2285C2212yes—
116C2×C4×C4⋊C4C2211yescharacteristic
117C2×C4×C22⋊C4C2212yes—
118C2×C43C2211yescharacteristic
119C22×#41C2314yes—
120C23×D4C2311yescharacteristic
121C24×C4C2312yes—
122#540—416no—
123#535—416no—
124#532—216no—
125#532—416no—
126C2×C4⋊Q8C2312yes—
127C2×C4⋊Q8C2314yes—
128C2×#127C2312yes—
129C2×#127C2312yes—
130C2×#127C2314yes—
131C2×#127C2312yes—
132C2×#127C2314yes—
133C2×#127C2318yes—
134C2×#125C2312yes—
135C2×#125C2314yes—
136C2×#125C2312yes—
137C2×#124C2314yes—
138C2×#124C2314yes—
139C2×#124C2314yes—
140C2×#124C2318yes—
141C2×#123C23116yes—
142C2×#121C2314yes—
143C2×#121C2314yes—
144C2×#121C2318yes—
145C2×#121C23116yes—
146C2×#121C2318yes—
147C2×#121C2318yes—
148C2×#121C2318yes—
149C2×#121C2318yes—
150C2×#121C2318yes—
151C2×#121C23116yes—
152C2×#120C23116yes—
153#520—416no—
154C2×C4×Q8C2318yes—
155C2×C4×D4—28no—
156C2×C4×D4C2314yes—
157C2×C4×D4C2314yes—
158C2×C4×D4C2312yes—
159C2×C4×D4C2312yes—
160C2×C4×D4C2312yes—
161C2×C4×D4C2312yes—
162C2×C4×D4C2318yes—
163C2×C4×D4C2318yes—
164C2×C4×D4C2318yes—
165C2×C4×D4C23116yes—
166C2×C4×D4C2318yes—
167C2×#117—48no—
168C2×#117C2314yes—
169C2×#117C2314yes—
170C2×#117C2314yes—
171C2×#117C2318yes—
172C2×#117C2318yes—
173C22×C4⋊C4C2311yescharacteristic
174C22×C4⋊C4C2312yes—
175C22×C4⋊C4C2318yes—
176C22×C4⋊C4C2314yes—
177C22×C22⋊C4C2312yes—
178C22×C22⋊C4C2314yes—
179C22×C22⋊C4C2314yes—
180C22×C42C2311yescharacteristic
181C22×C42C2312yes—
182C22×C42C2311yescharacteristic
183C22×C42C2312yes—
184C22×C42C2312yes—
185C22×C42C2311yescharacteristic
186#400C23116yes—
187#399C23116yes—
188#398C23116yes—
189#397C23116yes—
190#397C23116yes—
191#397C23116yes—
192#397C23116yes—
193#396C23116yes—
194#396C23116yes—
195#394C23116yes—
196#394C23116yes—
197#394C23116yes—
198#394C23116yes—
199#394C23116yes—
200#394C23116yes—
201#394C23116yes—
202#394C23116yes—
203#392C23116yes—
204#392C23116yes—
205#392C23116yes—
206#391C2318yes—
207#391C2318yes—
208#390C2314yes—
209#390C2318yes—
210#390C2314yes—
211#390C2318yes—
212#390C2318yes—
213#390C2318yes—
214#390C2314yes—
215#390C2314yes—
216#390C2318yes—
217#390C2318yes—
218#390C23116yes—
219#390C23116yes—
220#390C2318yes—
221#390C2314yes—
222#390C2314yes—
223#390C2314yes—
224#390C2314yes—
225#389C2314yes—
226#389C2314yes—
227#389C2314yes—
228#389C2314yes—
229#389C2314yes—
230#389C2314yes—
231#389C2314yes—
232#389C2314yes—
233#389C2318yes—
234#389C2314yes—
235#389C2314yes—
236#389C2314yes—
237#389C2314yes—
238#388C23116yes—
239#388C23116yes—
240#388C23116yes—
241#388C23116yes—
242#388C23116yes—
243#388C23116yes—
244#388C2318yes—
245#388C2318yes—
246#388C2318yes—
247#388C2318yes—
248#387C2318yes—
249#387C2318yes—
250#387C2318yes—
251#387C2318yes—
252#387C23116yes—
253#387C23116yes—
254#387C23116yes—
255#386C23116yes—
256#386C23116yes—
257#386C23116yes—
258#386C23116yes—
259#386C23116yes—
260#386C23116yes—
261#386C23116yes—
262#386C23116yes—
263#385C23116yes—
264#385C23116yes—
265#385C2318yes—
266#385C2318yes—
267#384C2312yes—
268#384C2312yes—
269#384C2314yes—
270#384C2312yes—
271#384C2312yes—
272#382C2312yes—
273#382C2312yes—
274#382C2314yes—
275#382C2314yes—
276#381C23116yes—
277#380C2318yes—
278#380C2318yes—
279#380C2318yes—
280#380C2318yes—
281#380C2318yes—
282#380C2318yes—
283#380C2314yes—
284#380C2314yes—
285C4×C4⋊C4C2314yes—
286C4×C4⋊C4C2314yes—
287C4×C4⋊C4C2318yes—
288C4×C4⋊C4C2318yes—
289C4×C4⋊C4C2318yes—
290C4×C4⋊C4C2312yes—
291C4×C4⋊C4C2312yes—
292C4×C4⋊C4C2312yes—
293C4×C4⋊C4C2312yes—
294C4×C22⋊C4C23116yes—
295C4×C22⋊C4C2318yes—
296C4×C22⋊C4C2314yes—
297C4×C22⋊C4C2314yes—
298C2×#95C2312yes—
299C2×#95C2314yes—
300C43C2312yes—
301C43C2311yescharacteristic
302C43C2311yescharacteristic
303C43C2311yescharacteristic
304C43C2311yescharacteristic
305C43C2312yes—
306C25C2412yes—
307C2×#41—216no—
308C2×#41—216no—
309C2×#41—216no—
310C22×Q8C2414yes—
311C22×D4—24no—
312C22×D4—28no—
313C22×D4C2414yes—
314C22×D4C2418yes—
315C22×D4C2412yes—
316C22×D4C2412yes—
317C22×D4C2414yes—
318C22×D4C2418yes—
319C22×D4C2418yes—
320C22×D4C2414yes—
321C22×D4C24116yes—
322C22×D4C24116yes—
323C23×C4—28no—
324C23×C4—44no—
325C23×C4—44no—
326C23×C4C2418yes—
327C23×C4C2414yes—
328C23×C4C2412yes—
329C23×C4C2412yes—
330C23×C4C2411yescharacteristic
331C23×C4C2414yes—
332C23×C4C2412yes—
333C23×C4C2414yes—
334C23×C4C24116yes—
335C23×C4C2411yescharacteristic
336C23×C4C2411yescharacteristic
337C4⋊Q8—28no—
338C4⋊Q8—48no—
339#127—28no—
340#127—28no—
341#127—44no—
342#127—48no—
343#127—48no—
344#127—416no—
345#125—28no—
346#125—48no—
347#125—44no—
348#124—216no—
349#124—48no—
350#124—48no—
351#124—416no—
352#123—432no—
353#121—216no—
354#121—216no—
355#121—432no—
356#121—432no—
357#121—416no—
358#121—416no—
359#121—416no—
360#121—416no—
361#121—416no—
362#121—416no—
363#120—432no—
364C4×Q8—416no—
365C4×D4—28no—
366C4×D4—28no—
367C4×D4—28no—
368C4×D4—28no—
369C4×D4—216no—
370C4×D4—216no—
371C4×D4—416no—
372C4×D4—416no—
373C4×D4—416no—
374C4×D4—416no—
375C4×D4—432no—
376#117—216no—
377#117—216no—
378#117—48no—
379#117—416no—
380#117—416no—
381C2×C4⋊C4—24no—
382C2×C4⋊C4—28no—
383C2×C4⋊C4—48no—
384C2×C4⋊C4—416no—
385C2×C4⋊C4C2414yes—
386C2×C4⋊C4C2414yes—
387C2×C4⋊C4C2418yes—
388C2×C4⋊C4C2414yes—
389C2×C4⋊C4C2412yes—
390C2×C4⋊C4C2412yes—
391C2×C4⋊C4C2414yes—
392C2×C4⋊C4C2414yes—
393C2×C4⋊C4C2414yes—
394C2×C4⋊C4C2414yes—
395C2×C4⋊C4C2418yes—
396C2×C4⋊C4C2414yes—
397C2×C4⋊C4C2418yes—
398C2×C4⋊C4C2418yes—
399C2×C4⋊C4C24116yes—
400C2×C4⋊C4C2418yes—
401C2×C4⋊C4C2418yes—
402C2×C4⋊C4C2414yes—
403C2×C4⋊C4C2414yes—
404C2×C4⋊C4C2418yes—
405C2×C4⋊C4C2418yes—
406C2×C22⋊C4—28no—
407C2×C22⋊C4—48no—
408C2×C22⋊C4—48no—
409C2×C22⋊C4C2418yes—
410C2×C22⋊C4C2414yes—
411C2×C22⋊C4C2414yes—
412C2×C22⋊C4C2418yes—
413C2×C22⋊C4C2418yes—
414C2×C22⋊C4C2418yes—
415C2×C22⋊C4C2418yes—
416C2×C22⋊C4C2418yes—
417C2×C22⋊C4C2418yes—
418C2×C22⋊C4C24116yes—
419C2×C22⋊C4C24116yes—
420C2×C22⋊C4C2418yes—
421C2×C22⋊C4C2418yes—
422C2×C22⋊C4C2418yes—
423C2×C22⋊C4C2418yes—
424C2×C22⋊C4C24116yes—
425C2×C22⋊C4C24116yes—
426C2×C22⋊C4C24116yes—
427C2×C22⋊C4C24116yes—
428C2×C22⋊C4C24116yes—
429C2×C42—28no—
430C2×C42—24no—
431C2×C42—44no—
432C2×C42—42no—
433C2×C42—44no—
434C2×C42#4118yes—
435C2×C42C2412yes—
436C2×C42C2411yescharacteristic
437C2×C42C2414yes—
438C2×C42C2418yes—
439C2×C42C2412yes—
440C2×C42C2412yes—
441C2×C42C2412yes—
442C2×C42C2411yescharacteristic
443C2×C42C2412yes—
444C2×C42C2412yes—
445C2×C42C2411yescharacteristic
446C2×C42C2412yes—
447C2×C42C2414yes—
448C2×C42C24116yes—
449C2×C42C2412yes—
450C2×C42C2412yes—
451C2×C42C2412yes—
452C2×C42C2411yescharacteristic
453C2×C42C2411yescharacteristic
454C2×C42C2411yescharacteristic
455C2×C42C2411yescharacteristic
456C2×C42C2411yescharacteristic
457#95C2418yes—
458#95C2418yes—
459#95C2414yes—
460#95C2414yes—
461#95C2418yes—
462#95C24116yes—
463#95C2418yes—
464#95C24116yes—
465#95C2418yes—
466#95C2418yes—
467#95C2418yes—
468#95C2418yes—
469#95C24116yes—
470#95C24116yes—
471C24—24no—
472C24—28no—
473C24—42no—
474C24—44no—
475C24—42no—
476C24C2514yes—
477C24C2518yes—
478C24C2511yescharacteristic
479#41—464no—
480C2×Q8—28no—
481C2×Q8—28no—
482C2×Q8—28no—
483C2×D4—216no—
484C2×D4—216no—
485C2×D4—216no—
486C2×D4—24no—
487C2×D4—24no—
488C2×D4—28no—
489C2×D4—28no—
490C2×D4—28no—
491C2×D4—28no—
492C2×D4—28no—
493C2×D4—28no—
494C2×D4—28no—
495C2×D4—28no—
496C2×D4—216no—
497C2×D4—28no—
498C2×D4—216no—
499C2×D4—48no—
500C2×D4—48no—
501C2×D4—48no—
502C2×D4—44no—
503C2×D4—48no—
504C2×D4—44no—
505C2×D4—416no—
506C2×D4—416no—
507C2×D4—416no—
508C2×D4—416no—
509C2×D4—416no—
510C2×D4—416no—
511C2×D4—416no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—24no—
517C22×C4—28no—
518C22×C4—28no—
519C22×C4—28no—
520C22×C4—216no—
521C22×C4—24no—
522C22×C4—216no—
523C22×C4—28no—
524C22×C4—216no—
525C22×C4—24no—
526C22×C4—28no—
527C22×C4—42no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4—44no—
532C22×C4—44no—
533C22×C4—42no—
534C22×C4—44no—
535C22×C4—44no—
536C22×C4—416no—
537C22×C4—416no—
538C22×C4—416no—
539C22×C4—432no—
540C22×C4C2×#4114yes—
541C22×C4C2×#4114yes—
542C22×C4C2×#4114yes—
543C22×C4H(5,𝔽2)18yes—
544C22×C4C2514yes—
545C22×C4C2518yes—
546C22×C4C2518yes—
547C22×C4C2512yes—
548C22×C4C2518yes—
549C22×C4C2518yes—
550C22×C4C2512yes—
551C22×C4C2511yescharacteristic
552C22×C4C2511yescharacteristic
553C22×C4C2511yescharacteristic
554C22×C4C2512yes—
555C22×C4C2512yes—
556C22×C4C2511yescharacteristic
557C22×C4C2511yescharacteristic
558C22×C4C2511yescharacteristic
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—28no—
562C4⋊C4—28no—
563C4⋊C4—28no—
564C4⋊C4—28no—
565C4⋊C4—28no—
566C4⋊C4—216no—
567C4⋊C4—28no—
568C4⋊C4—28no—
569C4⋊C4—216no—
570C4⋊C4—28no—
571C4⋊C4—216no—
572C4⋊C4—48no—
573C4⋊C4—416no—
574C4⋊C4—48no—
575C4⋊C4—48no—
576C4⋊C4—44no—
577C4⋊C4—44no—
578C4⋊C4—48no—
579C4⋊C4—48no—
580C22⋊C4—216no—
581C22⋊C4—28no—
582C22⋊C4—28no—
583C22⋊C4—216no—
584C22⋊C4—216no—
585C22⋊C4—216no—
586C22⋊C4—216no—
587C22⋊C4—48no—
588C22⋊C4—48no—
589C22⋊C4—416no—
590C22⋊C4—416no—
591C22⋊C4—48no—
592C22⋊C4—48no—
593C22⋊C4—48no—
594C22⋊C4—48no—
595C22⋊C4—416no—
596C22⋊C4—416no—
597C22⋊C4—416no—
598C22⋊C4—416no—
599C22⋊C4—416no—
600C42—24no—
601C42—22no—
602C42—24no—
603C42—24no—
604C42—24no—
605C42—24no—
606C42—28no—
607C42—216no—
608C42—24no—
609C42—22no—
610C42—24no—
611C42—22no—
612C42—42no—
613C42—42no—
614C42—42no—
615C42—44no—
616C42—416no—
617C42C2×#4114yes—
618C42C2×#4114yes—
619C42C2×#4114yes—
620C42C2×#4114yes—
621C42H(5,𝔽2)14yes—
622C23—21no—
623C23—21no—
624C23—22no—
625C23—24no—
626C23—28no—
627C23—24no—
628C23—28no—
629C23—28no—
630C23—28no—
631C23—28no—
632C23—28no—
633C23—28no—
634C23—28no—
635C23—24no—
636C23—28no—
637C23—48no—
638C23—48no—
639C23—48no—
640C23—88no—
641C23—88no—
642C23C22×#4112yes—
643C23C2×H(5,𝔽2)14yes—
644C23C2611yescharacteristic
645Q8—416no—
646D4—432no—
647D4—48no—
648D4—48no—
649D4—416no—
650D4—416no—
651D4—88no—
652D4—816no—
653D4—816no—
654D4—1616no—
655D4—1616no—
656C2×C4—21no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—21no—
664C2×C4—28no—
665C2×C4—24no—
666C2×C4—28no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—28no—
671C2×C4—28no—
672C2×C4—28no—
673C2×C4—28no—
674C2×C4—28no—
675C2×C4—28no—
676C2×C4—28no—
677C2×C4—24no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—28no—
682C2×C4—24no—
683C2×C4—28no—
684C2×C4—28no—
685C2×C4—28no—
686C2×C4—44no—
687C2×C4—48no—
688C2×C4—48no—
689C2×C4—416no—
690C2×C4—48no—
691C2×C4—432no—
692C2×C4—416no—
693C2×C4—88no—
694C2×C4—1616no—
695C2×C4#540116yescomplemented
696C2×C4C22×#4112yes—
697C2×C4C22×#4112yes—
698C2×C4C22×#4112yes—
699C2×C4C22×#4112yes—
700C2×C4C22×#4112yes—
701C2×C4C22×#4112yes—
702C2×C4C2×H(5,𝔽2)14yes—
703C2×C4C2×H(5,𝔽2)14yes—
704C2×C4C2×H(5,𝔽2)14yes—
705C2×C4C2×H(5,𝔽2)12yes—
706C2×C4#58514yes—
707C2×C4#58512yes—
708C22—22no—
709C22—22no—
710C22—24no—
711C22—24no—
712C22—44no—
713C22—48no—
714C22—48no—
715C22—44no—
716C22—48no—
717C22—48no—
718C22—48no—
719C22—48no—
720C22—48no—
721C22—48no—
722C22—48no—
723C22—44no—
724C22—816no—
725C22C2×#54014yes—
726C22C23×#4111yescharacteristic
727C22C22×H(5,𝔽2)11yescharacteristic
728C22C22×H(5,𝔽2)12yes—
729C22C2×#58511yescharacteristic
730C22C2×#58512yes—
731C4—22no—
732C4—22no—
733C4—22no—
734C4—24no—
735C4—24no—
736C4—44no—
737C4—42no—
738C4—48no—
739C4—42no—
740C4—48no—
741C4—48no—
742C4—48no—
743C4C2×#54014yes—
744C4C2×#54014yes—
745C4#350614yes—
746C2—24no—
747C2—88no—
748C2—84no—
749C2C22×#54011yescharacteristic
750C2C2×#350611yescharacteristic
751C2#6281511yescharacteristic
752C2#6283012yes—
753C2#6283412yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #40026C2semidirect
2. #39996C2semidirect
3. #39513C2semidirect
4. #39507C2semidirect
5. #39386C2semidirect
6. #39378C2semidirect
7. #39202C2semidirect
8. #39191C2semidirect
9. #36759C2semidirect
10. #36644C2semidirect
11. #36640C2semidirect
12. #35533C2semidirect
13. #35517C2semidirect
14. #35261C2semidirect
15. #35165C2semidirect
16. #35081C2semidirect
17. #34206C2semidirect
18. C2×#2293C2semidirect
19. C2×#540C22semidirect
26. #2868C22semidirect
27. #2867C22semidirect
28. #2864C22semidirect
29. #2859C22semidirect
30. #2859C22semidirect
31. #2859C22semidirect
32. #2858C22semidirect
33. #2858C22semidirect
41. #2803C22semidirect
42. #2797C22semidirect
43. #2793C22semidirect
44. #2753C22semidirect
45. #2752C22semidirect
46. #2711C22semidirect
47. #2701C22semidirect
48. #2673C22semidirect
49. #2648C22semidirect
50. #2629C22semidirect
51. #2624C22semidirect
52. #2619C22semidirect
64. #2497C22semidirect
65. #2490C22semidirect
66. #2487C22semidirect
67. #2486C22semidirect
68. #2485C22semidirect
69. #2485C22semidirect
70. #2476C22semidirect
71. #2471C22semidirect
72. #2448C22semidirect
73. #2447C22semidirect
74. #2446C22semidirect
75. #2445C22semidirect
78. #2428C22semidirect
81. #2420C22semidirect
86. #2367C22semidirect
87. #2366C22semidirect
88. #2365C22semidirect
89. #2354C22semidirect
90. #2352C22semidirect
91. D4×C4⋊C4C22semidirect
92. #2333C22semidirect
94. #2324C22semidirect
95. #2314C22semidirect
98. C4×#127C22semidirect
99. C4×#127C22semidirect
100. C4×#127C22semidirect
101. C4×#125C22semidirect
102. C4×#125C22semidirect
103. C4×#125C22semidirect
695. C2×C4#540semidirect

Maximal subgroups

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

subgroupindex
#400262
#399962
#395132
#395072
#393862
#393782
#392022
#391912
#367592
#366442
#366402
#355332
#355172
#352612
#351652
#350812
#342062
C2×#22932