Finite Group Databasebeta

← #7644352

Subgroups — #7644352

Order 512.

8910 conjugacy classes of subgroups.

The subgroup lattice has 715 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3493C211yesmaximal, characteristic, complemented
2C22×#535C211yesmaximal, characteristic, complemented
3#42987C218yesmaximal, complemented
4#42986C218yesmaximal, complemented
5#42963C218yesmaximal, complemented
6#42962C218yesmaximal, complemented
7#37614C214yesmaximal, complemented
8#37606C214yesmaximal, complemented
9#36703C218yesmaximal, complemented
10#35584C212yesmaximal, complemented
11#35565C212yesmaximal, complemented
12#35563C214yesmaximal, complemented
13#35222C212yesmaximal, complemented
14#34632C212yesmaximal, complemented
15#34179C211yesmaximal, characteristic, complemented
16C23×#41C2211yescharacteristic
17C24×D4C2211yescharacteristic
18#3493—216no—
19C2×#556C2214yescomplemented
20C2×#555C2214yescomplemented
21C2×#553C2214yescomplemented
22C2×#552C2214yescomplemented
23C2×#544C2211yescharacteristic, complemented
24C2×#538C2214yes—
25C2×#537C2211yescharacteristic, complemented
26C2×#535—216no—
27C2×#535C2218yes—
28C2×#535C2218yes—
29C2×#535C2214yes—
30C22×#127C2212yes—
31C2×#529C2214yescomplemented
32C22×#124C2212yes—
33C2×#525C2212yes—
34C2×#525C2214yescomplemented
35C22×#121C2212yes—
36C22×#121C2212yes—
37C22×#120C2214yes—
38C2×#520C2212yescomplemented
39C22×#117C2211yescharacteristic
40#2846C2218yes—
41#2820C2218yescomplemented
42#2819C2218yescomplemented
43#2818C22116yescomplemented
44#2685C22132yescomplemented
45#2678C22132yescomplemented
46#2670C22132yescomplemented
47#2669C22132yescomplemented
48#2662C22116yescomplemented
49#2657C2218yescomplemented
50#2641C2218yescomplemented
51#2632C2218yescomplemented
52#2631C2218yescomplemented
53#2619C22116yescomplemented
54#2616C2214yescomplemented
55#2616C2214yescomplemented
56#2615C2214yescomplemented
57#2615C2214yescomplemented
58#2614C2214yescomplemented
59#2613C2218yes—
60#2613C2218yes—
61#2613C2214yescomplemented
62#2610C22116yescomplemented
63#2561C2218yescomplemented
64#2548C2218yescomplemented
65#2541C22116yescomplemented
66#2541C2218yescomplemented
67#2540C22116yescomplemented
68#2539C2218yescomplemented
69#2534C22116yescomplemented
70#2491C22116yescomplemented
71#2490C22116yescomplemented
72#2435C2214yescomplemented
73#2435C2214yescomplemented
74#2435C2218yescomplemented
75#2433C2214yescomplemented
76#2433C2214yescomplemented
77#2433C2218yescomplemented
78#2428C22116yescomplemented
79#2426C22116yescomplemented
80#2416C22116yescomplemented
81#2414C22116yescomplemented
82#2408C2218yescomplemented
83#2408C2218yescomplemented
84#2408C22116yescomplemented
85#2388C2218yescomplemented
86#2388C2218yescomplemented
87#2347C2218yescomplemented
88#2346C2218yescomplemented
89#2316C2212yescomplemented
90#2312C2214yes—
91#2309C2214yes—
92#2283C2214yescomplemented
93#2280C2212yes—
94#2280C2214yescomplemented
95#2274C2212yescomplemented
96C26C2312yes—
97C22×#41—28no—
98C22×#41—48no—
99C22×#41C2312yes—
100C22×#41C2314yes—
101C22×#41C2314yes—
102C23×Q8C2311yescharacteristic
103C23×D4—28no—
104C23×D4—48no—
105C23×D4C2312yes—
106C23×D4C2312yes—
107C23×D4C2314yes—
108C23×D4C2314yes—
109C23×D4C2312yes—
110C23×D4C2311yescharacteristic
111C23×D4C2314yes—
112C23×D4C2314yes—
113C24×C4C2312yes—
114C24×C4C2311yescharacteristic
115#556—232no—
116#555—232no—
117#553—232no—
118#552—232no—
119#544—28no—
120#538—232no—
121#537—28no—
122#535—264no—
123#535—264no—
124#535—416no—
125C2×C4⋊Q8C2314yescomplemented
126C2×#127—216no—
127C2×#127C2318yes—
128C2×#127C2318yes—
129C2×#127C2318yes—
130C2×#127C23116yescomplemented
131#529—232no—
132C2×#126C2318yes—
133C2×#126C2318yescomplemented
134C2×#125C2314yescomplemented
135C2×#125C2314yescomplemented
136C2×#124—216no—
137C2×#124C2318yes—
138C2×#124C2318yes—
139C2×#124C2318yes—
140C2×#124C2318yes—
141C2×#124C2314yescomplemented
142C2×#124C23116yescomplemented
143#525—216no—
144#525—416no—
145C2×#123C2314yes—
146C2×#123C2318yes—
147C2×#123C2318yes—
148C2×C22⋊Q8C2314yes—
149C2×C22⋊Q8C2312yes—
150C2×C22⋊Q8C2312yes—
151C2×C22⋊Q8C2314yescomplemented
152C2×C22⋊Q8C2318yescomplemented
153C2×#121—216no—
154C2×#121—216no—
155C2×#121C2312yes—
156C2×#121C2312yes—
157C2×#121C23116yes—
158C2×#121C23116yes—
159C2×#121C2318yes—
160C2×#121C2314yes—
161C2×#121C23116yes—
162C2×#121C2314yescomplemented
163C2×#121C2318yescomplemented
164C2×#121C23132yescomplemented
165C2×#120—232no—
166C2×#120C2314yes—
167C2×#120C23132yes—
168C2×#120C23116yes—
169C2×#120C2318yes—
170C2×#120C23116yes—
171C2×#120C23116yes—
172#520—216no—
173C2×C4×Q8C2314yescomplemented
174C2×C4×Q8C2314yescomplemented
175C2×C4×D4C2314yes—
176C2×C4×D4C2314yes—
177C2×C4×D4C2318yes—
178C2×C4×D4C2314yescomplemented
179C2×C4×D4C2314yescomplemented
180C2×C4×D4C23116yescomplemented
181C2×#117D4116yescomplemented
182C2×#117C2312yes—
183C2×#117C2314yes—
184C2×#117C2314yes—
185C2×#117C2314yes—
186C2×#117C2318yescomplemented
187C2×#117C2314yescomplemented
188C22×C4⋊C4C2311yescharacteristic
189C22×C4⋊C4C2311yescharacteristic
190C22×C4⋊C4C2314yescomplemented
191C22×C22⋊C4C2314yes—
192C22×C22⋊C4C2314yes—
193C22×C22⋊C4C2312yes—
194C22×C42C2312yes—
195#399C23116yescomplemented
196#397C23116yescomplemented
197#396C23132yescomplemented
198#395C2318yescomplemented
199#395C2318yescomplemented
200#394C23116yes—
201#394C23116yes—
202#394C23116yes—
203#394C23116yes—
204#394C2318yescomplemented
205#394C23132yescomplemented
206#394C23132yescomplemented
207#394C23132yescomplemented
208#394C2318yescomplemented
209#393C23116yescomplemented
210#393C2318yescomplemented
211#393C2318yescomplemented
212#392C23116yes—
213#392C23116yes—
214#392C23116yes—
215#392C23116yes—
216#392C2318yescomplemented
217#392C23132yescomplemented
218#392C23132yescomplemented
219#392C23116yescomplemented
220#392C2318yescomplemented
221#390C23116yes—
222#390C2318yes—
223#390C2318yes—
224#390C23132yescomplemented
225#390C23132yescomplemented
226#390C23116yescomplemented
227#390C23116yescomplemented
228#389C23116yescomplemented
229#388C23132yes—
230#388C23132yescomplemented
231#388C23132yescomplemented
232#386C23132yescomplemented
233#383C2318yescomplemented
234#382C2318yescomplemented
235#381C2318yes—
236#381C2314yes—
237#380C2318yes—
238#380C2314yes—
239#380C2314yes—
240#380C2318yescomplemented
241#380C2318yescomplemented
242#379C23116yes—
243#379C2314yes—
244#379C23116yes—
245#379C23116yes—
246#379C2318yes—
247C4×C4⋊C4C23116yescomplemented
248C4×C4⋊C4C2318yescomplemented
249C4×C22⋊C4C2318yes—
250C4×C22⋊C4C2314yes—
251C4×C22⋊C4C2314yes—
252C4×C22⋊C4C23116yescomplemented
253#376C2318yescomplemented
254C25—28no—
255C25—48no—
256C25—84no—
257C25—84no—
258C25C2414yes—
259C25C2412yes—
260C25C2411yescharacteristic
261C25C2418yes—
262C2×#41—28no—
263C2×#41—216no—
264C2×#41—216no—
265C2×#41—216no—
266C2×#41—416no—
267C2×#41—416no—
268C2×#41—464no—
269C22×Q8—24no—
270C22×Q8—44no—
271C22×Q8C2412yes—
272C22×Q8C2414yes—
273C22×Q8C2412yes—
274C22×Q8C2412yes—
275C22×D4—28no—
276C22×D4—28no—
277C22×D4—28no—
278C22×D4—24no—
279C22×D4—216no—
280C22×D4—216no—
281C22×D4—216no—
282C22×D4—216no—
283C22×D4—216no—
284C22×D4—416no—
285C22×D4—416no—
286C22×D4—48no—
287C22×D4—44no—
288C22×D4—48no—
289C22×D4—464no—
290C22×D4—88no—
291C22×D4—88no—
292C22×D4C2414yes—
293C22×D4C2412yes—
294C22×D4C2418yes—
295C22×D4C2414yes—
296C22×D4C2414yes—
297C22×D4C2414yes—
298C22×D4C2418yes—
299C22×D4C24116yes—
300C22×D4C24116yes—
301C22×D4C2414yes—
302C22×D4C2414yes—
303C22×D4C2412yes—
304C22×D4C2412yes—
305C22×D4C24116yes—
306C22×D4C24132yes—
307C23×C4—28no—
308C23×C4—28no—
309C23×C4—216no—
310C23×C4C2×D418yes—
311C23×C4C2412yes—
312C23×C4C2414yes—
313C23×C4C2418yes—
314C23×C4C2412yes—
315C23×C4C2412yes—
316C23×C4C2411yescharacteristic
317C23×C4C2418yes—
318C23×C4C2412yes—
319C23×C4C2412yes—
320C23×C4C2411yescharacteristic
321C4⋊Q8—216no—
322#127—232no—
323#127—232no—
324#127—416no—
325#127—816no—
326#126—232no—
327#126—232no—
328#125—216no—
329#125—216no—
330#124—232no—
331#124—232no—
332#124—232no—
333#124—216no—
334#124—416no—
335#124—816no—
336#123—216no—
337#123—232no—
338#123—416no—
339C22⋊Q8—28no—
340C22⋊Q8—28no—
341C22⋊Q8—216no—
342C22⋊Q8—216no—
343C22⋊Q8—416no—
344#121—28no—
345#121—28no—
346#121—216no—
347#121—264no—
348#121—264no—
349#121—216no—
350#121—232no—
351#121—432no—
352#121—416no—
353#121—832no—
354#120—216no—
355#120—2128no—
356#120—416no—
357#120—432no—
358#120—816no—
359#120—816no—
360C4×Q8—216no—
361C4×Q8—216no—
362C4×D4—232no—
363C4×D4—216no—
364C4×D4—216no—
365C4×D4—216no—
366C4×D4—216no—
367C4×D4—432no—
368#117—28no—
369#117—216no—
370#117—216no—
371#117—232no—
372#117C2×D4132yes—
373#117C2×D4132yes—
374C2×C4⋊C4—216no—
375C2×C4⋊C4C2×D418yes—
376C2×C4⋊C4C2×D418yes—
377C2×C4⋊C4C2412yes—
378C2×C4⋊C4C2418yes—
379C2×C4⋊C4C2412yes—
380C2×C4⋊C4C2418yes—
381C2×C4⋊C4C2414yes—
382C2×C4⋊C4C2418yes—
383C2×C4⋊C4C2414yes—
384C2×C4⋊C4C2414yes—
385C2×C4⋊C4C2414yes—
386C2×C4⋊C4C24116yes—
387C2×C4⋊C4C24116yes—
388C2×C4⋊C4C2414yes—
389C2×C4⋊C4C2414yes—
390C2×C22⋊C4—216no—
391C2×C22⋊C4—216no—
392C2×C22⋊C4C2×D4116yes—
393C2×C22⋊C4C24116yes—
394C2×C22⋊C4C24116yes—
395C2×C22⋊C4C2414yes—
396C2×C22⋊C4C2418yes—
397C2×C22⋊C4C2414yes—
398C2×C22⋊C4C2418yes—
399C2×C22⋊C4C2418yes—
400C2×C22⋊C4C2414yes—
401C2×C22⋊C4C2414yes—
402C2×C22⋊C4C2414yes—
403C2×C22⋊C4C24116yes—
404C2×C22⋊C4C24116yes—
405C2×C22⋊C4C2418yes—
406C2×C22⋊C4C2418yes—
407C2×C22⋊C4C24132yes—
408C2×C22⋊C4C24132yes—
409C2×C22⋊C4C24132yes—
410C2×C22⋊C4C24116yes—
411C2×C22⋊C4C24116yes—
412C2×C22⋊C4C2418yes—
413C2×C42C2×D4116yes—
414C2×C42C2414yes—
415C2×C42C2418yes—
416C2×C42C2418yes—
417C2×C42C24116yes—
418C2×C42C2414yes—
419C2×C42C2414yes—
420#95C2418yes—
421#95C24116yes—
422#95C2418yes—
423#95C24116yes—
424#95C24116yes—
425#95C24116yes—
426C24—24no—
427C24—28no—
428C24—24no—
429C24—216no—
430C24—28no—
431C24—216no—
432C24—42no—
433C24—42no—
434C24—416no—
435C24—44no—
436C24—44no—
437C24—48no—
438C24—48no—
439C24—416no—
440C24—416no—
441C24—432no—
442C24—816no—
443C24—816no—
444C24—864no—
445C24C22×D414yes—
446C24C2518yes—
447C24C2514yes—
448C24C2514yes—
449C24C2512yes—
450C24C2511yescharacteristic
451#41—464no—
452#41—464no—
453#41—432no—
454C2×Q8—24no—
455C2×Q8—24no—
456C2×Q8—24no—
457C2×Q8—28no—
458C2×Q8—28no—
459C2×Q8—44no—
460C2×Q8—44no—
461C2×Q8—48no—
462C2×Q8—416no—
463C2×D4—28no—
464C2×D4—216no—
465C2×D4—216no—
466C2×D4—28no—
467C2×D4—28no—
468C2×D4—24no—
469C2×D4—216no—
470C2×D4—28no—
471C2×D4—28no—
472C2×D4—24no—
473C2×D4—24no—
474C2×D4—28no—
475C2×D4—232no—
476C2×D4—232no—
477C2×D4—28no—
478C2×D4—216no—
479C2×D4—216no—
480C2×D4—48no—
481C2×D4—48no—
482C2×D4—44no—
483C2×D4—44no—
484C2×D4—416no—
485C2×D4—432no—
486C2×D4—464no—
487C2×D4—464no—
488C2×D4—416no—
489C2×D4—416no—
490C2×D4—48no—
491C2×D4—48no—
492C2×D4—416no—
493C2×D4—432no—
494C2×D4—416no—
495C2×D4—48no—
496C2×D4—416no—
497C2×D4—416no—
498C2×D4—432no—
499C2×D4—432no—
500C2×D4—432no—
501C2×D4—432no—
502C2×D4—432no—
503C2×D4—832no—
504C2×D4—832no—
505C22×C4—24no—
506C22×C4—232no—
507C22×C4—28no—
508C22×C4—28no—
509C22×C4—24no—
510C22×C4—28no—
511C22×C4—28no—
512C22×C4—216no—
513C22×C4—216no—
514C22×C4—216no—
515C22×C4—216no—
516C22×C4—216no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—416no—
520C22×C4—432no—
521C22×C4C22×D414yes—
522C22×C4C22×D418yes—
523C22×C4C22×D418yes—
524C22×C4C22×D418yes—
525C22×C4C22×D418yes—
526C22×C4C22×D414yes—
527C22×C4H(5,𝔽2)18yes—
528C22×C4C25116yes—
529C22×C4C2514yes—
530C22×C4C2514yes—
531C22×C4C2514yes—
532C22×C4C2514yes—
533C22×C4C2511yescharacteristic
534C22×C4C2511yescharacteristic
535C22×C4C2514yes—
536C22×C4C2514yes—
537C22×C4C2512yes—
538C4⋊C4—24no—
539C4⋊C4—216no—
540C4⋊C4—24no—
541C4⋊C4—28no—
542C4⋊C4—216no—
543C4⋊C4—28no—
544C4⋊C4—28no—
545C4⋊C4—28no—
546C4⋊C4—216no—
547C4⋊C4—416no—
548C4⋊C4—416no—
549C4⋊C4C22×D4116yes—
550C4⋊C4C22×D4116yes—
551C22⋊C4—28no—
552C22⋊C4—28no—
553C22⋊C4—28no—
554C22⋊C4—216no—
555C22⋊C4—232no—
556C22⋊C4—232no—
557C22⋊C4—28no—
558C22⋊C4—216no—
559C22⋊C4—216no—
560C22⋊C4—28no—
561C22⋊C4—416no—
562C22⋊C4—416no—
563C22⋊C4—432no—
564C22⋊C4—48no—
565C22⋊C4—48no—
566C22⋊C4—432no—
567C22⋊C4—432no—
568C22⋊C4—416no—
569C22⋊C4—416no—
570C22⋊C4C22×D4132yes—
571C42—216no—
572C42—28no—
573C42—216no—
574C42—416no—
575C42C22×D4116yes—
576C42C22×D4116yes—
577C23—22no—
578C23—22no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—28no—
583C23—24no—
584C23—28no—
585C23—24no—
586C23—28no—
587C23—28no—
588C23—216no—
589C23—24no—
590C23—28no—
591C23—216no—
592C23—216no—
593C23—28no—
594C23—28no—
595C23—24no—
596C23—44no—
597C23—44no—
598C23—416no—
599C23—432no—
600C23—48no—
601C23—48no—
602C23—416no—
603C23—416no—
604C23—48no—
605C23—416no—
606C23—816no—
607C23—832no—
608C23—816no—
609C23—816no—
610C23—864no—
611C23—8128no—
612C23C23×D414yes—
613C23C23×D412yes—
614C23C2×H(5,𝔽2)14yes—
615C23C2611yescharacteristic
616Q8—48no—
617Q8—48no—
618Q8—48no—
619Q8—88no—
620D4—416no—
621D4—416no—
622D4—48no—
623D4—48no—
624D4—432no—
625D4—416no—
626D4—432no—
627D4—48no—
628D4—88no—
629D4—832no—
630D4—832no—
631D4—88no—
632D4—88no—
633D4—832no—
634D4—1632no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—28no—
638C2×C4—28no—
639C2×C4—28no—
640C2×C4—216no—
641C2×C4—216no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—216no—
647C2×C4—28no—
648C2×C4—28no—
649C2×C4—216no—
650C2×C4—28no—
651C2×C4—28no—
652C2×C4—216no—
653C2×C4—48no—
654C2×C4—48no—
655C2×C4—48no—
656C2×C4—432no—
657C2×C4—416no—
658C2×C4—816no—
659C2×C4#535116yes—
660C2×C4C23×D418yes—
661C2×C4C23×D412yes—
662C2×C4C23×D412yes—
663C2×C4C23×D418yes—
664C2×C4C23×D414yes—
665C2×C4C2×H(5,𝔽2)18yes—
666C22—22no—
667C22—22no—
668C22—28no—
669C22—24no—
670C22—24no—
671C22—24no—
672C22—416no—
673C22—48no—
674C22—44no—
675C22—44no—
676C22—44no—
677C22—44no—
678C22—48no—
679C22—48no—
680C22—48no—
681C22—416no—
682C22—432no—
683C22—48no—
684C22—44no—
685C22—44no—
686C22—48no—
687C22—816no—
688C22—832no—
689C22—864no—
690C22C2×#53514yes—
691C22C24×D411yescharacteristic
692C22C22×H(5,𝔽2)12yes—
693C22H(7,𝔽2)12yes—
694C22H(7,𝔽2)12yes—
695C4—28no—
696C4—28no—
697C4—22no—
698C4—22no—
699C4—44no—
700C4—44no—
701C4—416no—
702C4—44no—
703C4—44no—
704C4C2×#53518yes—
705C2—24no—
706C2—44no—
707C2—84no—
708C2—84no—
709C2—88no—
710C2C22×#53511yescharacteristic
711C2#6285211yescharacteristic
712C2#6285211yescharacteristic
713C2#6287414yes—
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. C2×#3493C2semidirect
2. C22×#535C2semidirect
3. #42987C2semidirect
4. #42986C2semidirect
5. #42963C2semidirect
6. #42962C2semidirect
7. #37614C2semidirect
8. #37606C2semidirect
9. #36703C2semidirect
10. #35584C2semidirect
11. #35565C2semidirect
12. #35563C2semidirect
13. #35222C2semidirect
14. #34632C2semidirect
15. #34179C2semidirect
19. C2×#556C22semidirect
20. C2×#555C22semidirect
21. C2×#553C22semidirect
22. C2×#552C22semidirect
23. C2×#544C22semidirect
25. C2×#537C22semidirect
31. C2×#529C22semidirect
34. C2×#525C22semidirect
38. C2×#520C22semidirect
41. #2820C22semidirect
42. #2819C22semidirect
43. #2818C22semidirect
44. #2685C22semidirect
45. #2678C22semidirect
46. #2670C22semidirect
47. #2669C22semidirect
48. #2662C22semidirect
49. #2657C22semidirect
50. #2641C22semidirect
51. #2632C22semidirect
52. #2631C22semidirect
53. #2619C22semidirect
54. #2616C22semidirect
55. #2616C22semidirect
56. #2615C22semidirect
57. #2615C22semidirect
58. #2614C22semidirect
61. #2613C22semidirect
62. #2610C22semidirect
63. #2561C22semidirect
64. #2548C22semidirect
65. #2541C22semidirect
66. #2541C22semidirect
67. #2540C22semidirect
68. #2539C22semidirect
69. #2534C22semidirect
70. #2491C22semidirect
71. #2490C22semidirect
72. #2435C22semidirect
73. #2435C22semidirect
74. #2435C22semidirect
75. #2433C22semidirect
76. #2433C22semidirect
77. #2433C22semidirect
78. #2428C22semidirect
79. #2426C22semidirect
80. #2416C22semidirect
81. #2414C22semidirect
82. #2408C22semidirect
83. #2408C22semidirect
84. #2408C22semidirect
85. #2388C22semidirect
86. #2388C22semidirect
87. #2347C22semidirect
88. #2346C22semidirect
89. #2316C22semidirect
92. #2283C22semidirect
94. #2280C22semidirect
95. #2274C22semidirect
125. C2×C4⋊Q8C23semidirect
130. C2×#127C23semidirect
133. C2×#126C23semidirect
134. C2×#125C23semidirect
135. C2×#125C23semidirect
141. C2×#124C23semidirect
142. C2×#124C23semidirect
151. C2×C22⋊Q8C23semidirect
152. C2×C22⋊Q8C23semidirect
162. C2×#121C23semidirect
163. C2×#121C23semidirect
164. C2×#121C23semidirect
173. C2×C4×Q8C23semidirect
174. C2×C4×Q8C23semidirect
178. C2×C4×D4C23semidirect
179. C2×C4×D4C23semidirect
180. C2×C4×D4C23semidirect
181. C2×#117D4semidirect
186. C2×#117C23semidirect
187. C2×#117C23semidirect
190. C22×C4⋊C4C23semidirect
195. #399C23semidirect
196. #397C23semidirect
197. #396C23semidirect
198. #395C23semidirect
199. #395C23semidirect
204. #394C23semidirect
205. #394C23semidirect
206. #394C23semidirect
207. #394C23semidirect
208. #394C23semidirect
209. #393C23semidirect
210. #393C23semidirect
211. #393C23semidirect
216. #392C23semidirect
217. #392C23semidirect
218. #392C23semidirect
219. #392C23semidirect
220. #392C23semidirect
224. #390C23semidirect
225. #390C23semidirect
226. #390C23semidirect
227. #390C23semidirect
228. #389C23semidirect
230. #388C23semidirect
231. #388C23semidirect
232. #386C23semidirect
233. #383C23semidirect
234. #382C23semidirect
240. #380C23semidirect
241. #380C23semidirect
247. C4×C4⋊C4C23semidirect
248. C4×C4⋊C4C23semidirect
252. C4×C22⋊C4C23semidirect
253. #376C23semidirect

Maximal subgroups

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

subgroupindex
C2×#34932
C22×#5352
#429872
#429862
#429632
#429622
#376142
#376062
#367032
#355842
#355652
#355632
#352222
#346322
#341792