Finite Group Databasebeta

← #62875

Subgroups — #62875

Order 256.

3569 conjugacy classes of subgroups.

The subgroup lattice has 767 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3551C214yesmaximal, complemented
2#3548C214yesmaximal, complemented
3#3547C214yesmaximal, complemented
4#3546C214yesmaximal, complemented
5#3542C218yesmaximal, complemented
6#3542C214yesmaximal, complemented
7#3541C214yesmaximal, complemented
8#3539C214yesmaximal, complemented
9#3536C214yesmaximal, complemented
10#3535C214yesmaximal, complemented
11#3534C214yesmaximal, complemented
12#3495C212yesmaximal, complemented
13#3494C212yesmaximal, complemented
14#3492C212yesmaximal, complemented
15#3489C212yesmaximal, complemented
16#3488C212yesmaximal, complemented
17#3487C211yesmaximal, characteristic, complemented
18#3485C211yesmaximal, characteristic, complemented
19#3449C212yesmaximal, complemented
20C2×#537C211yesmaximal, characteristic, complemented
21C2×2−1+4C2211yescharacteristic, complemented
22C2×H(5,𝔽2)C2211yescharacteristic
23C22×#41C2211yescharacteristic, complemented
24C22×#41C2211yescharacteristic, complemented
25C22×#41C2212yescomplemented
26#563C2218yescomplemented
27#562C2218yescomplemented
28#562C2218yescomplemented
29#562C2218yescomplemented
30#562C2218yescomplemented
31#560C2218yescomplemented
32#560C2218yescomplemented
33#560C2218yescomplemented
34#556C2214yescomplemented
35#555C2214yescomplemented
36#555C2218yescomplemented
37#554C2214yescomplemented
38#554C2214yescomplemented
39#554C2214yescomplemented
40#554C2218yescomplemented
41#553C2214yescomplemented
42#553C2214yescomplemented
43#553C2214yescomplemented
44#553C2214yescomplemented
45#553C2218yescomplemented
46#553C2218yescomplemented
47#552C2214yescomplemented
48#552C2214yescomplemented
49#552C2218yescomplemented
50#552C2214yescomplemented
51#552C2214yescomplemented
52#551C2218yescomplemented
53#551C2218yescomplemented
54#551C2218yescomplemented
55#550C2214yescomplemented
56#550C2214yescomplemented
57#550C2214yescomplemented
58#550C2218yescomplemented
59D4×Q8C2214yescomplemented
60#548C2214yescomplemented
61#548C2214yescomplemented
62#548C2214yescomplemented
63#548C2214yescomplemented
64#547C2214yescomplemented
65#547C2214yescomplemented
66#547C2218yescomplemented
67#547C2214yescomplemented
68#547C2214yescomplemented
69#547C2214yescomplemented
70#547C2214yescomplemented
71#546C2214yescomplemented
72#546C2214yescomplemented
73#546C2218yescomplemented
74#546C2214yescomplemented
75#546C2218yescomplemented
76#546C2214yescomplemented
77#546C2218yescomplemented
78#546C2218yescomplemented
79#546C2218yescomplemented
80D42C2218yescomplemented
81D42C2214yescomplemented
82#544C2212yescomplemented
83#544C2214yescomplemented
84#543C2214yescomplemented
85#542C2214yescomplemented
86#542C2214yescomplemented
87#542C2218yescomplemented
88#542C2218yescomplemented
89#541C2214yescomplemented
90#540C2214yescomplemented
91#540C2218yescomplemented
92#540C2218yescomplemented
93#540C2218yescomplemented
94#540C2218yescomplemented
95#539C2218yescomplemented
96#539C2214yescomplemented
97#539C2218yescomplemented
98#539C2214yescomplemented
99#538C2218yescomplemented
100#538C2214yescomplemented
101#538C2214yescomplemented
102#538C2218yescomplemented
103#538C2218yescomplemented
104#537C2212yes—
105#537C2214yescomplemented
106#537C2214yescomplemented
107#537C2214yescomplemented
108#537C2214yescomplemented
109#537C2212yescomplemented
110#537C2212yescomplemented
111#537C2212yescomplemented
112#537C2212yescomplemented
113#537C2214yescomplemented
114#537C2214yescomplemented
115#537C2214yescomplemented
116#537C2218yescomplemented
117#536C2214yescomplemented
118#536C2212yescomplemented
119#536C2212yescomplemented
120#536C2212yescomplemented
121#536C2214yescomplemented
122#535C2214yescomplemented
123#535C2212yescomplemented
124#535C2212yescomplemented
125#535C2212yescomplemented
126#535C2214yescomplemented
127#535C2214yescomplemented
128#535C2218yescomplemented
129#534C2214yescomplemented
130#534C2214yescomplemented
131#534C2214yescomplemented
132#534C2214yescomplemented
133#533C2214yescomplemented
134#532C2214yescomplemented
135#532C2214yescomplemented
136#532C2214yescomplemented
137#529C2214yescomplemented
138#529C2214yescomplemented
139#525C2212yes—
140#525C2212yescomplemented
141#525C2212yescomplemented
142#525C2212yescomplemented
143#525C2214yescomplemented
144#525C2214yescomplemented
145#525C2214yescomplemented
146#525C2214yescomplemented
147#525C2214yescomplemented
148#525C2218yescomplemented
149C2×#123C2214yescomplemented
150C2×C22⋊Q8C2212yescomplemented
151C2×C22⋊Q8C2212yescomplemented
152C2×C22⋊Q8C2214yescomplemented
153C2×#121C2212yescomplemented
154C2×#121C2212yescomplemented
155C2×#121C2214yescomplemented
156C2×#121C2214yescomplemented
157#520C2212yescomplemented
158#520C2212yescomplemented
159#519C2211yescharacteristic, complemented
160#518C2211yescharacteristic, complemented
161C2×#117C2212yescomplemented
162C22×C4⋊C4C2211yescharacteristic, complemented
1632−1+4—44no—
164H(5,𝔽2)—44no—
165C2×#41—44no—
166C2×#41—44no—
167C2×#41—48no—
168C2×#41C2312yes—
169C2×#41C2312yes—
170C2×#41C2312yes—
171C2×#41C2312yes—
172C2×#41C2314yes—
173C2×#41C2314yes—
174C2×#41C2314yes—
175C2×#41C2312yes—
176C2×#41C2314yes—
177C2×#41C2312yes—
178C2×#41C2314yes—
179C2×#41C2312yes—
180C2×#41C2314yes—
181C2×#41C2314yes—
182C2×#41C2312yes—
183C2×#41C2318yes—
184C2×#41C2318yes—
185C22×Q8C2311yescharacteristic
186C22×Q8C2311yescharacteristic
187C22×Q8C2314yes—
188C22×Q8C2312yes—
189C22×D4C2311yescharacteristic
190C22×D4C2311yescharacteristic
191C22×D4C2312yes—
192C22×D4C2312yes—
193C22×D4C2314yes—
194C22×D4C2314yes—
195C22×D4C2314yes—
196C22×D4C2312yes—
197C22×D4C2314yes—
198C22×D4C2318yes—
199C23×C4C2311yescharacteristic
200C23×C4C2312yes—
201C23×C4C2312yes—
202C23×C4C2314yes—
203C23×C4C2312yes—
204C4⋊Q8C2314yes—
205C4⋊Q8C2314yes—
206C4⋊Q8C2314yes—
207C4⋊Q8C2314yes—
208C4⋊Q8C2314yes—
209C4⋊Q8C2318yes—
210#127C2314yes—
211#127C2314yes—
212#127C2314yes—
213#127C2318yes—
214#127C2318yes—
215#126C2318yes—
216#126C2318yes—
217#126C2318yes—
218#126C2318yes—
219#126C2318yes—
220#126C2318yes—
221#126C2318yes—
222#126C2318yes—
223#125C2314yes—
224#125C2314yes—
225#125C2318yes—
226#125C2318yes—
227#125C2318yes—
228#125C2318yes—
229#125C2318yes—
230#124C2314yes—
231#124C2314yes—
232#124C2314yes—
233#124C2314yes—
234#124C2314yes—
235#124C2314yes—
236#124C2318yes—
237#124C2318yes—
238#124C2318yes—
239#124C2318yes—
240#124C2318yes—
241#124C2318yes—
242#123C2314yes—
243#123C2318yes—
244#123C2318yes—
245#123C2318yes—
246#123C2314yes—
247#123C2314yes—
248#123C2314yes—
249#123C2314yes—
250#123C2314yes—
251#123C2314yes—
252#123C2314yes—
253#123C2318yes—
254#123C2318yes—
255#123C2318yes—
256#123C2318yes—
257#123C2318yes—
258#123C2318yes—
259#123C2318yes—
260#123C2318yes—
261#123C2318yes—
262#123C2318yes—
263#123C2318yes—
264#123C2318yes—
265#123C2318yes—
266#123C2318yes—
267#123C2318yes—
268C22⋊Q8C2312yes—
269C22⋊Q8C2314yes—
270C22⋊Q8C2314yes—
271C22⋊Q8C2314yes—
272C22⋊Q8C2314yes—
273C22⋊Q8C2314yes—
274C22⋊Q8C2314yes—
275C22⋊Q8C2314yes—
276C22⋊Q8C2314yes—
277C22⋊Q8C2318yes—
278C22⋊Q8C2318yes—
279C22⋊Q8C2318yes—
280C22⋊Q8C2312yes—
281C22⋊Q8C2312yes—
282C22⋊Q8C2312yes—
283C22⋊Q8C2314yes—
284C22⋊Q8C2314yes—
285C22⋊Q8C2314yes—
286C22⋊Q8C2312yes—
287C22⋊Q8C2312yes—
288C22⋊Q8C2312yes—
289C22⋊Q8C2312yes—
290C22⋊Q8C2314yes—
291C22⋊Q8C2314yes—
292C22⋊Q8C2314yes—
293C22⋊Q8C2318yes—
294C22⋊Q8C2314yes—
295C22⋊Q8C2318yes—
296C22⋊Q8C2314yes—
297C22⋊Q8C2318yes—
298C22⋊Q8C2318yes—
299C22⋊Q8C2318yes—
300C22⋊Q8C2318yes—
301C22⋊Q8C2318yes—
302C22⋊Q8C2318yes—
303C22⋊Q8C2318yes—
304#121C2312yes—
305#121C2314yes—
306#121C2314yes—
307#121C2314yes—
308#121C2314yes—
309#121C2318yes—
310#121C2314yes—
311#121C2318yes—
312#121C2314yes—
313#121C2314yes—
314#121C2314yes—
315#121C2318yes—
316#121C2318yes—
317#121C2318yes—
318#121C2318yes—
319#121C2318yes—
320#121C2312yes—
321#121C2312yes—
322#121C2312yes—
323#121C2314yes—
324#121C2314yes—
325#121C2314yes—
326#121C2314yes—
327#121C2312yes—
328#121C2312yes—
329#121C2314yes—
330#121C2312yes—
331#121C2312yes—
332#121C2314yes—
333#121C2318yes—
334#121C2314yes—
335#121C2318yes—
336#121C2314yes—
337#121C2314yes—
338#121C2314yes—
339#121C2314yes—
340#121C2314yes—
341#121C2314yes—
342#121C2314yes—
343#121C2314yes—
344#121C2314yes—
345#121C2318yes—
346#121C2318yes—
347#121C2318yes—
348#121C2318yes—
349#121C2318yes—
350#121C2318yes—
351#121C2318yes—
352#121C2318yes—
353#121C2318yes—
354#121C2318yes—
355#121C2318yes—
356#121C2318yes—
357#121C2318yes—
358#120C2314yes—
359#120C2314yes—
360#120C2314yes—
361#120C2314yes—
362#120C2314yes—
363#120C2314yes—
364#120C2314yes—
365#120C2318yes—
366#120C2314yes—
367#120C2318yes—
368#120C2318yes—
369#120C2318yes—
370#120C2318yes—
371#120C2318yes—
372C4×Q8C2314yes—
373C4×Q8C2314yes—
374C4×Q8C2314yes—
375C4×Q8C2314yes—
376C4×Q8C2318yes—
377C4×D4C2314yes—
378C4×D4C2314yes—
379C4×D4C2318yes—
380C4×D4C2318yes—
381C4×D4C2314yes—
382C4×D4C2314yes—
383C4×D4C2314yes—
384C4×D4C2314yes—
385C4×D4C2314yes—
386C4×D4C2314yes—
387C4×D4C2314yes—
388C4×D4C2314yes—
389C4×D4C2314yes—
390C4×D4C2314yes—
391C4×D4C2318yes—
392C4×D4C2318yes—
393C4×D4C2318yes—
394C4×D4C2318yes—
395C4×D4C2318yes—
396C4×D4C2318yes—
397C4×D4C2318yes—
398C4×D4C2318yes—
399C4×D4C2318yes—
400C4×D4C2318yes—
401C4×D4C2318yes—
402#117C2312yes—
403#117C2312yes—
404#117C2314yes—
405#117C2314yes—
406#117C2312yes—
407#117C2312yes—
408#117C2314yes—
409#117C2314yes—
410#117C2314yes—
411#117C2318yes—
412#117C2318yes—
413#117C2318yes—
414#117C2318yes—
415C2×C4⋊C4C2312yes—
416C2×C4⋊C4C2312yes—
417C2×C4⋊C4C2314yes—
418C2×C4⋊C4C2314yes—
419C2×C4⋊C4C2312yes—
420C2×C4⋊C4C2312yes—
421C2×C4⋊C4C2314yes—
422C2×C4⋊C4C2314yes—
423C2×C4⋊C4C2314yes—
424C2×C4⋊C4C2318yes—
425C2×C4⋊C4C2314yes—
426C2×C4⋊C4C2314yes—
427C2×C22⋊C4C2314yes—
428C2×C22⋊C4C2314yes—
429C2×C22⋊C4C2314yes—
430C2×C22⋊C4C2314yes—
431C2×C22⋊C4C2318yes—
432C2×C22⋊C4C2318yes—
433C2×C22⋊C4C2314yes—
434C2×C22⋊C4C2314yes—
435C2×C42C2314yes—
436C24C2412yes—
437C24C2412yes—
438C24C2411yescharacteristic
439C24C2414yes—
440C24C2414yes—
441#41—28no—
442#41—28no—
443#41—44no—
444#41—44no—
445#41—44no—
446#41—44no—
447#41—48no—
448#41—48no—
449#41—48no—
450#41—48no—
451#41—48no—
452#41—44no—
453#41—44no—
454#41—48no—
455#41—48no—
456#41—88no—
457#41—88no—
458C2×Q8—24no—
459C2×Q8—42no—
460C2×Q8—44no—
461C2×Q8—48no—
462C2×Q8C2412yes—
463C2×Q8C2414yes—
464C2×Q8C2412yes—
465C2×Q8C2418yes—
466C2×Q8C2411yescharacteristic
467C2×Q8C2412yes—
468C2×Q8C2414yes—
469C2×Q8C2411yescharacteristic
470C2×Q8C2414yes—
471C2×D4—24no—
472C2×D4—44no—
473C2×D4—48no—
474C2×D4—42no—
475C2×D4—44no—
476C2×D4—44no—
477C2×D4—48no—
478C2×D4—48no—
479C2×D4—84no—
480C2×D4—88no—
481C2×D4C2414yes—
482C2×D4C2414yes—
483C2×D4C2412yes—
484C2×D4C2414yes—
485C2×D4C2412yes—
486C2×D4C2414yes—
487C2×D4C2414yes—
488C2×D4C2414yes—
489C2×D4C2418yes—
490C2×D4C2414yes—
491C2×D4C2414yes—
492C2×D4C2414yes—
493C2×D4C2418yes—
494C2×D4C2414yes—
495C2×D4C2414yes—
496C2×D4C2418yes—
497C2×D4C2418yes—
498C2×D4C2418yes—
499C2×D4C2411yescharacteristic
500C2×D4C2412yes—
501C2×D4C2412yes—
502C2×D4C2414yes—
503C2×D4C2414yes—
504C2×D4C2412yes—
505C2×D4C2414yes—
506C2×D4C2418yes—
507C2×D4C2418yes—
508C2×D4C2412yes—
509C2×D4C2411yescharacteristic
510C2×D4C2414yes—
511C2×D4C2412yes—
512C22×C4—24no—
513C22×C4—28no—
514C22×C4—48no—
515C22×C4—44no—
516C22×C4—82no—
517C22×C4C2412yes—
518C22×C4C2412yes—
519C22×C4C2412yes—
520C22×C4C2412yes—
521C22×C4C2412yes—
522C22×C4C2412yes—
523C22×C4C2411yescharacteristic
524C22×C4C2414yes—
525C22×C4C2414yes—
526C22×C4C2412yes—
527C22×C4C2412yes—
528C22×C4C2414yes—
529C22×C4C2414yes—
530C22×C4C2414yes—
531C22×C4C2414yes—
532C22×C4C2414yes—
533C22×C4C2414yes—
534C22×C4C2418yes—
535C22×C4C2418yes—
536C22×C4C2418yes—
537C22×C4C2414yes—
538C22×C4C2414yes—
539C22×C4C2418yes—
540C22×C4C2414yes—
541C22×C4C2414yes—
542C22×C4C2414yes—
543C22×C4C2411yescharacteristic
544C4⋊C4C2414yes—
545C4⋊C4C2414yes—
546C4⋊C4C2412yes—
547C4⋊C4C2412yes—
548C4⋊C4C2414yes—
549C4⋊C4C2414yes—
550C4⋊C4C2418yes—
551C4⋊C4C2414yes—
552C4⋊C4C2414yes—
553C4⋊C4C2414yes—
554C4⋊C4C2418yes—
555C4⋊C4C2412yes—
556C4⋊C4C2412yes—
557C4⋊C4C2414yes—
558C4⋊C4C2414yes—
559C4⋊C4C2418yes—
560C4⋊C4C2418yes—
561C4⋊C4C2418yes—
562C4⋊C4C2418yes—
563C4⋊C4C2418yes—
564C4⋊C4C2418yes—
565C4⋊C4C2414yes—
566C4⋊C4C2418yes—
567C4⋊C4C2414yes—
568C4⋊C4C2414yes—
569C4⋊C4C2414yes—
570C4⋊C4C2414yes—
571C4⋊C4C2414yes—
572C4⋊C4C2418yes—
573C4⋊C4C2414yes—
574C22⋊C4C2414yes—
575C22⋊C4C2414yes—
576C22⋊C4C2418yes—
577C22⋊C4C2418yes—
578C22⋊C4C2418yes—
579C22⋊C4C2414yes—
580C22⋊C4C2414yes—
581C22⋊C4C2414yes—
582C22⋊C4C2418yes—
583C22⋊C4C2414yes—
584C22⋊C4C2414yes—
585C22⋊C4C2414yes—
586C22⋊C4C2418yes—
587C22⋊C4C2418yes—
588C22⋊C4C2418yes—
589C22⋊C4C2418yes—
590C22⋊C4C2418yes—
591C22⋊C4C2414yes—
592C22⋊C4C2414yes—
593C22⋊C4C2414yes—
594C22⋊C4C2414yes—
595C22⋊C4C2418yes—
596C22⋊C4C2418yes—
597C22⋊C4C2414yes—
598C22⋊C4C2418yes—
599C22⋊C4C2418yes—
600C22⋊C4C2414yes—
601C22⋊C4C2414yes—
602C22⋊C4C2414yes—
603C22⋊C4C2414yes—
604C22⋊C4C2414yes—
605C22⋊C4C2414yes—
606C22⋊C4C2414yes—
607C42C2414yes—
608C42C2414yes—
609C42C2414yes—
610C42C2414yes—
611C42C2418yes—
612C42C2418yes—
613C42C2418yes—
614C23—22no—
615C23—24no—
616C23—24no—
617C23—41no—
618C23—41no—
619C23—44no—
620C23—42no—
621C23—42no—
622C23—44no—
623C23—42no—
624C23—42no—
625C23—44no—
626C23—44no—
627C23—44no—
628C23—44no—
629C23C2512yes—
630C23C2514yes—
631C23C2514yes—
632C23C2512yes—
633C23C2512yes—
634C23C2514yes—
635C23C2511yescharacteristic
636Q8—28no—
637Q8—24no—
638Q8—24no—
639Q8—44no—
640Q8—41no—
641Q8—42no—
642Q8—41no—
643Q8—44no—
644Q8—48no—
645D4—28no—
646D4—28no—
647D4—28no—
648D4—24no—
649D4—24no—
650D4—48no—
651D4—41no—
652D4—42no—
653D4—42no—
654D4—41no—
655D4—42no—
656D4—42no—
657D4—42no—
658D4—44no—
659D4—44no—
660D4—44no—
661D4—48no—
662D4—48no—
663D4—44no—
664D4—48no—
665D4—48no—
666D4—48no—
667D4—44no—
668D4—44no—
669D4—44no—
670D4—48no—
671D4—44no—
672D4—44no—
673D4—44no—
674D4—44no—
675D4—44no—
676C2×C4—22no—
677C2×C4—24no—
678C2×C4—24no—
679C2×C4—24no—
680C2×C4—24no—
681C2×C4—24no—
682C2×C4—24no—
683C2×C4—24no—
684C2×C4—24no—
685C2×C4—28no—
686C2×C4—28no—
687C2×C4—44no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—48no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—48no—
698C2×C4—48no—
699C2×C4—48no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4H(5,𝔽2)14yes—
703C2×C4C2514yes—
704C2×C4C2514yes—
705C2×C4C2514yes—
706C2×C4C2512yes—
707C2×C4C2514yes—
708C2×C4C2514yes—
709C2×C4C2518yes—
710C2×C4C2514yes—
711C2×C4C2514yes—
712C2×C4C2512yes—
713C2×C4C2511yescharacteristic
714C2×C4C2511yescharacteristic
715C2×C4C2512yes—
716C22—21no—
717C22—21no—
718C22—22no—
719C22—22no—
720C22—22no—
721C22—24no—
722C22—24no—
723C22—24no—
724C22—22no—
725C22—22no—
726C22—24no—
727C22—24no—
728C22—24no—
729C22—22no—
730C22—22no—
731C22—24no—
732C22—22no—
733C22—24no—
734C22—22no—
735C22—24no—
736C22—44no—
737C22—84no—
738C22—84no—
739C22—88no—
740C22—164no—
741C22C2×H(5,𝔽2)12yes—
742C22C2611yescharacteristic
743C4—21no—
744C4—21no—
745C4—22no—
746C4—22no—
747C4—24no—
748C4—24no—
749C4—24no—
750C4—28no—
751C4—24no—
752C4—24no—
753C4—24no—
754C4—24no—
755C4C2×H(5,𝔽2)14yes—
756C2—22no—
757C2—42no—
758C2—42no—
759C2—44no—
760C2—42no—
761C2—44no—
762C2—44no—
763C2C22×H(5,𝔽2)11yescharacteristic
764C2H(7,𝔽2)11yescharacteristic
765C22−1+611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC22C26
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22 ◁ G
LECSG ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #3551C2semidirect
2. #3548C2semidirect
3. #3547C2semidirect
4. #3546C2semidirect
5. #3542C2semidirect
6. #3542C2semidirect
7. #3541C2semidirect
8. #3539C2semidirect
9. #3536C2semidirect
10. #3535C2semidirect
11. #3534C2semidirect
12. #3495C2semidirect
13. #3494C2semidirect
14. #3492C2semidirect
15. #3489C2semidirect
16. #3488C2semidirect
17. #3487C2semidirect
18. #3485C2semidirect
19. #3449C2semidirect
20. C2×#537C2semidirect
21. C2×2−1+4C22semidirect
23. C22×#41C22semidirect
24. C22×#41C22semidirect
25. C22×#41C22semidirect
26. #563C22semidirect
27. #562C22semidirect
28. #562C22semidirect
29. #562C22semidirect
30. #562C22semidirect
31. #560C22semidirect
32. #560C22semidirect
33. #560C22semidirect
34. #556C22semidirect
35. #555C22semidirect
36. #555C22semidirect
37. #554C22semidirect
38. #554C22semidirect
39. #554C22semidirect
40. #554C22semidirect
41. #553C22semidirect
42. #553C22semidirect
43. #553C22semidirect
44. #553C22semidirect
45. #553C22semidirect
46. #553C22semidirect
47. #552C22semidirect
48. #552C22semidirect
49. #552C22semidirect
50. #552C22semidirect
51. #552C22semidirect
52. #551C22semidirect
53. #551C22semidirect
54. #551C22semidirect
55. #550C22semidirect
56. #550C22semidirect
57. #550C22semidirect
58. #550C22semidirect
59. D4×Q8C22semidirect
60. #548C22semidirect
61. #548C22semidirect
62. #548C22semidirect
63. #548C22semidirect
64. #547C22semidirect
65. #547C22semidirect
66. #547C22semidirect
67. #547C22semidirect
68. #547C22semidirect
69. #547C22semidirect
70. #547C22semidirect
71. #546C22semidirect
72. #546C22semidirect
73. #546C22semidirect
74. #546C22semidirect
75. #546C22semidirect
76. #546C22semidirect
77. #546C22semidirect
78. #546C22semidirect
79. #546C22semidirect
80. D42C22semidirect
81. D42C22semidirect
82. #544C22semidirect
83. #544C22semidirect
84. #543C22semidirect
85. #542C22semidirect
86. #542C22semidirect
87. #542C22semidirect
88. #542C22semidirect
89. #541C22semidirect
90. #540C22semidirect
91. #540C22semidirect
92. #540C22semidirect
93. #540C22semidirect
94. #540C22semidirect
95. #539C22semidirect
96. #539C22semidirect
97. #539C22semidirect
98. #539C22semidirect
99. #538C22semidirect
100. #538C22semidirect
101. #538C22semidirect
102. #538C22semidirect
103. #538C22semidirect
105. #537C22semidirect
106. #537C22semidirect
107. #537C22semidirect
108. #537C22semidirect
109. #537C22semidirect
110. #537C22semidirect
111. #537C22semidirect
112. #537C22semidirect
113. #537C22semidirect
114. #537C22semidirect
115. #537C22semidirect
116. #537C22semidirect
117. #536C22semidirect
118. #536C22semidirect
119. #536C22semidirect
120. #536C22semidirect
121. #536C22semidirect
122. #535C22semidirect
123. #535C22semidirect
124. #535C22semidirect
125. #535C22semidirect
126. #535C22semidirect
127. #535C22semidirect
128. #535C22semidirect
129. #534C22semidirect
130. #534C22semidirect
131. #534C22semidirect
132. #534C22semidirect
133. #533C22semidirect
134. #532C22semidirect
135. #532C22semidirect
136. #532C22semidirect
137. #529C22semidirect
138. #529C22semidirect
140. #525C22semidirect
141. #525C22semidirect
142. #525C22semidirect
143. #525C22semidirect
144. #525C22semidirect
145. #525C22semidirect
146. #525C22semidirect
147. #525C22semidirect
148. #525C22semidirect
149. C2×#123C22semidirect
150. C2×C22⋊Q8C22semidirect
151. C2×C22⋊Q8C22semidirect
152. C2×C22⋊Q8C22semidirect
153. C2×#121C22semidirect
154. C2×#121C22semidirect
155. C2×#121C22semidirect
156. C2×#121C22semidirect
157. #520C22semidirect
158. #520C22semidirect
159. #519C22semidirect
160. #518C22semidirect
161. C2×#117C22semidirect
162. C22×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#35512
#35482
#35472
#35462
#35422
#35412
#35392
#35362
#35352
#35342
#34952
#34942
#34922
#34892
#34882
#34872
#34852
#34492
C2×#5372