Finite Group Databasebeta

← #62902

Subgroups — #62902

Order 256.

3295 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3564C214yesmaximal, complemented
2#3563C212yesmaximal, complemented
3#3553C218yesmaximal, complemented
4#3552C214yesmaximal, complemented
5#3541C214yesmaximal, complemented
6#3541C218yesmaximal, complemented
7#3536C212yesmaximal, complemented
8#3535C214yesmaximal, complemented
9#3520C212yesmaximal, complemented
10#3516C214yesmaximal, complemented
11#3505C212yesmaximal, complemented
12#3505C214yesmaximal, complemented
13#3501C211yesmaximal, characteristic, complemented
14#3501C212yesmaximal, complemented
15#3495C212yesmaximal, complemented
16#3492C214yesmaximal, complemented
17C2×#554C212yesmaximal, complemented
18C2×#553C211yesmaximal, characteristic, complemented
19#3459C211yesmaximal, characteristic, complemented
20#3459C212yesmaximal, complemented
21#564C2214yescomplemented
22#563C2218yescomplemented
23#563C2214yescomplemented
24#563C2218yescomplemented
25#563C2218yescomplemented
26#562C2218yescomplemented
27#562C2218yescomplemented
28#557C2214yescomplemented
29#556C2214yescomplemented
30#556C2212yescomplemented
31#556C2218yescomplemented
32#554C2214yescomplemented
33#554C2214yescomplemented
34#554C2218yescomplemented
35#554C2214yescomplemented
36#554C2214yescomplemented
37#554C2218yescomplemented
38#554C2214yescomplemented
39#554C2218yescomplemented
40#554C2218yescomplemented
41#554C2218yescomplemented
42#554C2218yescomplemented
43#553C2214yescomplemented
44#553C2214yescomplemented
45#553C2218yescomplemented
46#553C2214yescomplemented
47#553C2218yescomplemented
48#553C2218yescomplemented
49#553C2218yescomplemented
50#553C2218yescomplemented
51#552C2214yescomplemented
52#552C2214yescomplemented
53#552C2218yescomplemented
54#552C2214yescomplemented
55#552C2218yescomplemented
56#552C2218yescomplemented
57#552C2218yescomplemented
58#552C2214yescomplemented
59#551C2218yescomplemented
60#551C2218yescomplemented
61#551C2218yescomplemented
62D4×Q8C2214yescomplemented
63D4×Q8C2218yescomplemented
64D4×Q8C2212yescomplemented
65#548C2214yescomplemented
66#548C2218yescomplemented
67#548C2214yescomplemented
68#548C2214yescomplemented
69#547C2212yescomplemented
70#547C2218yescomplemented
71#547C2214yescomplemented
72#547C2212yescomplemented
73#546C2214yescomplemented
74#546C2218yescomplemented
75#544C2214yescomplemented
76#544C2212yescomplemented
77#544C2214yescomplemented
78#544C2212yescomplemented
79#543C2211yescharacteristic
80#543C2212yes—
81#543C2212yescomplemented
82#543C2214yescomplemented
83#542C2214yescomplemented
84#542C2218yescomplemented
85#542C2214yescomplemented
86#542C2214yescomplemented
87#542C2218yescomplemented
88#541C2214yescomplemented
89#541C2214yescomplemented
90#541C2218yescomplemented
91#541C2218yescomplemented
92#541C2218yescomplemented
93#539C2214yes—
94#539C2212yes—
95#539C2218yescomplemented
96#539C2214yescomplemented
97#539C2218yescomplemented
98#539C2218yescomplemented
99#539C2218yescomplemented
100#539C2214yescomplemented
101#539C2218yescomplemented
102#539C2218yescomplemented
103#539C2214yescomplemented
104#538C2212yes—
105#538C2214yes—
106#538C2218yescomplemented
107#538C2214yescomplemented
108#538C2214yescomplemented
109#538C2218yescomplemented
110#537C2214yescomplemented
111#537C2214yescomplemented
112#536C2212yescomplemented
113#536C2218yescomplemented
114#534C2211yescharacteristic
115#534C2214yes—
116#534C2212yes—
117#533C2214yescomplemented
118#533C2212yescomplemented
119C2×C4⋊Q8C2212yescomplemented
120#529C2214yes—
121#529C2212yes—
122#529C2214yescomplemented
123#529C2218yescomplemented
124#529C2214yescomplemented
125#529C2218yescomplemented
126C2×#126C2212yescomplemented
127C2×#125C2211yescharacteristic, complemented
128C2×#125C2214yescomplemented
129#525C2212yes—
130#525C2214yes—
131#525C2214yescomplemented
132#525C2218yescomplemented
133#525C2214yescomplemented
134#525C2218yescomplemented
135C2×#123C2212yescomplemented
136C2×C22⋊Q8C2214yes—
137C2×C22⋊Q8C2212yes—
138C2×C22⋊Q8C2214yescomplemented
139C2×C22⋊Q8C2212yescomplemented
140C2×C22⋊Q8C2212yescomplemented
141C2×C22⋊Q8C2214yescomplemented
142C2×#121C2212yes—
143C2×#121C2211yescharacteristic
144C2×#121C2211yescharacteristic, complemented
145#520C2212yescomplemented
146#520C2214yescomplemented
147#519C2212yescomplemented
148#518C2212yes—
149#518C2214yes—
150C2×C4×Q8C2212yescomplemented
151C2×C4×D4C2212yes—
152C2×C4×D4C2211yescharacteristic
153C2×C4×D4C2214yes—
154C2×C4×D4C2212yes—
155C2×C4×D4C2211yescharacteristic, complemented
156C2×#117C2211yescharacteristic, complemented
157C22×C4⋊C4C2211yescharacteristic
158C22×C4⋊C4C2212yescomplemented
159C2×#41C2312yes—
160C2×#41C2314yes—
161C2×#41C2314yes—
162C2×#41C2318yes—
163C22×Q8C2312yes—
164C22×Q8C2312yes—
165C22×Q8C2314yes—
166C22×Q8C2314yes—
167C22×D4C2312yes—
168C22×D4C2312yes—
169C22×D4C2311yescharacteristic
170C22×D4C2311yescharacteristic
171C22×D4C2312yes—
172C23×C4C2311yescharacteristic
173C23×C4C2312yes—
174C23×C4C2311yescharacteristic
175C23×C4C2312yes—
176C23×C4C2314yes—
177C23×C4C2312yes—
178C4⋊Q8C2318yes—
179C4⋊Q8C2314yes—
180C4⋊Q8C2314yes—
181C4⋊Q8C2314yes—
182C4⋊Q8C2312yes—
183C4⋊Q8C2314yes—
184C4⋊Q8C2312yes—
185C4⋊Q8C2318yes—
186C4⋊Q8C2318yes—
187C4⋊Q8C2318yes—
188#126C2318yes—
189#126C2318yes—
190#126C2314yes—
191#126C2318yes—
192#126C2318yes—
193#126C2314yes—
194#126C2318yes—
195#126C2314yes—
196#126C2318yes—
197#126C2318yes—
198#126C2318yes—
199#126C2318yes—
200#126C2318yes—
201#126C2318yes—
202#126C2318yes—
203#126C2318yes—
204#126C2318yes—
205#125C2318yes—
206#125C2318yes—
207#125C2318yes—
208#125C2318yes—
209#125C2314yes—
210#125C2314yes—
211#125C2314yes—
212#125C2312yes—
213#125C2314yes—
214#125C2318yes—
215#125C2318yes—
216#125C2314yes—
217#125C2314yes—
218#125C2318yes—
219#125C2318yes—
220#125C2318yes—
221#125C2318yes—
222#125C2318yes—
223#125C2318yes—
224#125C2318yes—
225#124C2314yes—
226#124C2312yes—
227#124C2314yes—
228#124C2318yes—
229#124C2314yes—
230#124C2318yes—
231#124C2318yes—
232#124C2318yes—
233#124C2318yes—
234#123C2318yes—
235#123C2318yes—
236#123C2318yes—
237#123C2314yes—
238#123C2314yes—
239#123C2318yes—
240#123C2314yes—
241#123C2318yes—
242#123C2318yes—
243#123C2318yes—
244#123C2318yes—
245#123C2314yes—
246#123C2318yes—
247#123C2314yes—
248#123C2314yes—
249#123C2318yes—
250#123C2318yes—
251#123C2318yes—
252#123C2318yes—
253#123C2318yes—
254#123C2318yes—
255#123C2318yes—
256C22⋊Q8C2314yes—
257C22⋊Q8C2318yes—
258C22⋊Q8C2314yes—
259C22⋊Q8C2318yes—
260C22⋊Q8C2318yes—
261C22⋊Q8C2314yes—
262C22⋊Q8C2318yes—
263C22⋊Q8C2314yes—
264C22⋊Q8C2312yes—
265C22⋊Q8C2314yes—
266C22⋊Q8C2314yes—
267C22⋊Q8C2314yes—
268C22⋊Q8C2318yes—
269C22⋊Q8C2314yes—
270C22⋊Q8C2318yes—
271C22⋊Q8C2314yes—
272C22⋊Q8C2314yes—
273C22⋊Q8C2318yes—
274C22⋊Q8C2318yes—
275C22⋊Q8C2318yes—
276C22⋊Q8C2318yes—
277C22⋊Q8C2314yes—
278C22⋊Q8C2314yes—
279C22⋊Q8C2312yes—
280C22⋊Q8C2312yes—
281C22⋊Q8C2314yes—
282C22⋊Q8C2318yes—
283C22⋊Q8C2314yes—
284C22⋊Q8C2314yes—
285C22⋊Q8C2318yes—
286C22⋊Q8C2314yes—
287C22⋊Q8C2318yes—
288C22⋊Q8C2314yes—
289C22⋊Q8C2318yes—
290C22⋊Q8C2318yes—
291C22⋊Q8C2318yes—
292C22⋊Q8C2318yes—
293C22⋊Q8C2318yes—
294C22⋊Q8C2318yes—
295C22⋊Q8C2318yes—
296C22⋊Q8C2318yes—
297C22⋊Q8C2318yes—
298C22⋊Q8C2318yes—
299#121C2314yes—
300#121C2318yes—
301#121C2318yes—
302#121C2314yes—
303#121C2314yes—
304#121C2314yes—
305#121C2312yes—
306#121C2312yes—
307#121C2312yes—
308#121C2314yes—
309#121C2318yes—
310#121C2314yes—
311#121C2318yes—
312#121C2318yes—
313#121C2314yes—
314#121C2314yes—
315#121C2314yes—
316#121C2318yes—
317#121C2318yes—
318#121C2318yes—
319#121C2318yes—
320#120C2314yes—
321#120C2318yes—
322#120C2314yes—
323#120C2314yes—
324#120C2318yes—
325C4×Q8C2314yes—
326C4×Q8C2314yes—
327C4×Q8C2318yes—
328C4×Q8C2314yes—
329C4×Q8C2314yes—
330C4×Q8C2314yes—
331C4×Q8C2314yes—
332C4×Q8C2314yes—
333C4×Q8C2312yes—
334C4×Q8C2318yes—
335C4×Q8C2314yes—
336C4×Q8C2318yes—
337C4×D4C2314yes—
338C4×D4C2318yes—
339C4×D4C2314yes—
340C4×D4C2314yes—
341C4×D4C2318yes—
342C4×D4C2318yes—
343C4×D4C2318yes—
344C4×D4C2314yes—
345C4×D4C2318yes—
346C4×D4C2318yes—
347C4×D4C2314yes—
348C4×D4C2314yes—
349C4×D4C2312yes—
350C4×D4C2314yes—
351C4×D4C2312yes—
352C4×D4C2318yes—
353C4×D4C2318yes—
354C4×D4C2318yes—
355C4×D4C2318yes—
356C4×D4C2318yes—
357C4×D4C2318yes—
358C4×D4C2318yes—
359C4×D4C2314yes—
360C4×D4C2318yes—
361C4×D4C2318yes—
362C4×D4C2314yes—
363C4×D4C2314yes—
364C4×D4C2312yes—
365C4×D4C2318yes—
366C4×D4C2318yes—
367#117C2312yes—
368#117C2312yes—
369#117C2314yes—
370#117C2318yes—
371#117C2314yes—
372#117C2312yes—
373#117C2318yes—
374#117C2314yes—
375#117C2314yes—
376#117C2318yes—
377#117C2314yes—
378#117C2318yes—
379#117C2318yes—
380#117C2318yes—
381C2×C4⋊C4C2312yes—
382C2×C4⋊C4C2311yescharacteristic
383C2×C4⋊C4C2311yescharacteristic
384C2×C4⋊C4C2314yes—
385C2×C4⋊C4C2312yes—
386C2×C4⋊C4C2312yes—
387C2×C4⋊C4C2314yes—
388C2×C4⋊C4C2314yes—
389C2×C4⋊C4C2312yes—
390C2×C4⋊C4C2314yes—
391C2×C4⋊C4C2318yes—
392C2×C4⋊C4C2311yescharacteristic
393C2×C4⋊C4C2312yes—
394C2×C4⋊C4C2312yes—
395C2×C4⋊C4C2314yes—
396C2×C4⋊C4C2311yescharacteristic
397C2×C4⋊C4C2314yes—
398C2×C4⋊C4C2318yes—
399C2×C4⋊C4C2312yes—
400C2×C4⋊C4C2312yes—
401C2×C4⋊C4C2314yes—
402C2×C4⋊C4C2314yes—
403C2×C4⋊C4C2314yes—
404C2×C4⋊C4C2314yes—
405C2×C22⋊C4C2312yes—
406C2×C22⋊C4C2311yescharacteristic
407C2×C22⋊C4C2314yes—
408C2×C22⋊C4C2312yes—
409C2×C22⋊C4C2312yes—
410C2×C22⋊C4C2314yes—
411C2×C22⋊C4C2312yes—
412C2×C22⋊C4C2311yescharacteristic
413C2×C22⋊C4C2312yes—
414C2×C22⋊C4C2318yes—
415C2×C22⋊C4C2314yes—
416C2×C22⋊C4C2312yes—
417C2×C42C2312yes—
418C2×C42C2311yescharacteristic
419C2×C42C2314yes—
420C2×C42C2312yes—
421C24C2411yescharacteristic
422C24C2412yes—
423C24C2412yes—
424C24C2411yescharacteristic
425#41—44no—
426#41—48no—
427#41—84no—
428#41—88no—
429C2×Q8—44no—
430C2×Q8—44no—
431C2×Q8—84no—
432C2×Q8—84no—
433C2×Q8C2414yes—
434C2×Q8C2412yes—
435C2×Q8C2414yes—
436C2×Q8C2414yes—
437C2×Q8C2414yes—
438C2×Q8C2418yes—
439C2×Q8C2418yes—
440C2×Q8C2412yes—
441C2×D4—28no—
442C2×D4—28no—
443C2×D4—24no—
444C2×D4—42no—
445C2×D4—82no—
446C2×D4C2414yes—
447C2×D4C2414yes—
448C2×D4C2414yes—
449C2×D4C2418yes—
450C2×D4C2412yes—
451C2×D4C2414yes—
452C2×D4C2418yes—
453C2×D4C2412yes—
454C2×D4C2412yes—
455C2×D4C2412yes—
456C2×D4C2418yes—
457C2×D4C2414yes—
458C2×D4C2418yes—
459C22×C4—42no—
460C22×C4—42no—
461C22×C4—44no—
462C22×C4—82no—
463C22×C4—82no—
464C22×C4—84no—
465C22×C4C2412yes—
466C22×C4C2412yes—
467C22×C4C2411yescharacteristic
468C22×C4C2412yes—
469C22×C4C2411yescharacteristic
470C22×C4C2414yes—
471C22×C4C2412yes—
472C22×C4C2411yescharacteristic
473C22×C4C2414yes—
474C22×C4C2412yes—
475C22×C4C2412yes—
476C22×C4C2411yescharacteristic
477C22×C4C2414yes—
478C22×C4C2411yescharacteristic
479C22×C4C2412yes—
480C22×C4C2412yes—
481C22×C4C2414yes—
482C22×C4C2414yes—
483C22×C4C2412yes—
484C22×C4C2418yes—
485C22×C4C2414yes—
486C22×C4C2414yes—
487C22×C4C2418yes—
488C22×C4C2412yes—
489C22×C4C2418yes—
490C22×C4C2414yes—
491C22×C4C2418yes—
492C22×C4C2414yes—
493C22×C4C2414yes—
494C4⋊C4C2411yescharacteristic
495C4⋊C4C2412yes—
496C4⋊C4C2414yes—
497C4⋊C4C2414yes—
498C4⋊C4C2418yes—
499C4⋊C4C2412yes—
500C4⋊C4C2411yescharacteristic
501C4⋊C4C2412yes—
502C4⋊C4C2418yes—
503C4⋊C4C2414yes—
504C4⋊C4C2414yes—
505C4⋊C4C2418yes—
506C4⋊C4C2414yes—
507C4⋊C4C2412yes—
508C4⋊C4C2418yes—
509C4⋊C4C2418yes—
510C4⋊C4C2412yes—
511C4⋊C4C2412yes—
512C4⋊C4C2418yes—
513C4⋊C4C2418yes—
514C4⋊C4C2418yes—
515C4⋊C4C2418yes—
516C4⋊C4C2414yes—
517C4⋊C4C2414yes—
518C4⋊C4C2418yes—
519C4⋊C4C2414yes—
520C4⋊C4C2418yes—
521C4⋊C4C2418yes—
522C4⋊C4C2414yes—
523C4⋊C4C2418yes—
524C4⋊C4C2414yes—
525C4⋊C4C2418yes—
526C4⋊C4C2414yes—
527C4⋊C4C2412yes—
528C4⋊C4C2418yes—
529C4⋊C4C2414yes—
530C4⋊C4C2418yes—
531C4⋊C4C2418yes—
532C4⋊C4C2414yes—
533C4⋊C4C2412yes—
534C4⋊C4C2412yes—
535C4⋊C4C2418yes—
536C4⋊C4C2414yes—
537C4⋊C4C2414yes—
538C22⋊C4C2418yes—
539C22⋊C4C2414yes—
540C22⋊C4C2414yes—
541C22⋊C4C2414yes—
542C22⋊C4C2414yes—
543C22⋊C4C2418yes—
544C22⋊C4C2414yes—
545C22⋊C4C2418yes—
546C22⋊C4C2414yes—
547C22⋊C4C2418yes—
548C22⋊C4C2418yes—
549C22⋊C4C2414yes—
550C22⋊C4C2418yes—
551C22⋊C4C2418yes—
552C22⋊C4C2418yes—
553C22⋊C4C2414yes—
554C22⋊C4C2414yes—
555C22⋊C4C2418yes—
556C22⋊C4C2414yes—
557C22⋊C4C2414yes—
558C22⋊C4C2414yes—
559C22⋊C4C2418yes—
560C22⋊C4C2414yes—
561C22⋊C4C2418yes—
562C22⋊C4C2414yes—
563C22⋊C4C2418yes—
564C22⋊C4C2418yes—
565C22⋊C4C2414yes—
566C22⋊C4C2414yes—
567C42C2414yes—
568C42C2418yes—
569C42C2412yes—
570C42C2414yes—
571C42C2414yes—
572C42C2414yes—
573C42C2412yes—
574C42C2418yes—
575C42C2418yes—
576C42C2418yes—
577C42C2418yes—
578C23—24no—
579C23—22no—
580C23—24no—
581C23—41no—
582C23—42no—
583C23—41no—
584C23—42no—
585C23—41no—
586C23—42no—
587C23—42no—
588C23—41no—
589C232−1+414yes—
590C23C2512yes—
591C23C2514yes—
592C23C2514yes—
593C23C2511yescharacteristic
594C23C2512yes—
595Q8—28no—
596Q8—44no—
597Q8—44no—
598Q8—48no—
599Q8—42no—
600Q8—48no—
601Q8—44no—
602Q8—42no—
603D4—28no—
604D4—28no—
605D4—28no—
606D4—216no—
607D4—24no—
608D4—42no—
609D4—48no—
610D4—44no—
611D4—42no—
612D4—48no—
613D4—42no—
614D4—48no—
615D4—44no—
616C2×C4—24no—
617C2×C4—22no—
618C2×C4—24no—
619C2×C4—22no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—28no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—44no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—44no—
630C2×C4—42no—
631C2×C4—41no—
632C2×C4—42no—
633C2×C4—44no—
634C2×C4—44no—
635C2×C4—44no—
636C2×C4—44no—
637C2×C4—48no—
638C2×C4—48no—
639C2×C4—44no—
640C2×C4—44no—
641C2×C4—42no—
642C2×C4—48no—
643C2×C4—48no—
644C2×C4—44no—
645C2×C4C2514yes—
646C2×C4C2514yes—
647C2×C4C2512yes—
648C2×C4C2512yes—
649C2×C4C2512yes—
650C2×C4C2518yes—
651C2×C4C2514yes—
652C2×C4C2512yes—
653C2×C4C2512yes—
654C2×C4C2514yes—
655C2×C4C2512yes—
656C2×C4C2518yes—
657C2×C4C2511yescharacteristic
658C2×C4C2514yes—
659C2×C4C2511yescharacteristic
660C22—22no—
661C22—21no—
662C22—22no—
663C22—21no—
664C22—24no—
665C22—22no—
666C22—24no—
667C22—22no—
668C22—24no—
669C22—24no—
670C22—24no—
671C22—24no—
672C22—22no—
673C22—44no—
674C22—48no—
675C22—82no—
676C22—84no—
677C22C2×2−1+412yes—
678C22C2×2−1+414yes—
679C22C2611yescharacteristic
680C4—24no—
681C4—22no—
682C4—24no—
683C4—21no—
684C4—24no—
685C4—22no—
686C4—22no—
687C4—28no—
688C4—22no—
689C4—24no—
690C4—22no—
691C4—28no—
692C4—22no—
693C4—24no—
694C4#58512yes—
695C2—24no—
696C2—22no—
697C2—44no—
698C2—42no—
699C2—44no—
700C2C22×2−1+411yescharacteristic
701C2C2×#58511yescharacteristic
702C2H(7,𝔽2)11yescharacteristic
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. #3564C2semidirect
2. #3563C2semidirect
3. #3553C2semidirect
4. #3552C2semidirect
5. #3541C2semidirect
6. #3541C2semidirect
7. #3536C2semidirect
8. #3535C2semidirect
9. #3520C2semidirect
10. #3516C2semidirect
11. #3505C2semidirect
12. #3505C2semidirect
13. #3501C2semidirect
14. #3501C2semidirect
15. #3495C2semidirect
16. #3492C2semidirect
17. C2×#554C2semidirect
18. C2×#553C2semidirect
19. #3459C2semidirect
20. #3459C2semidirect
21. #564C22semidirect
22. #563C22semidirect
23. #563C22semidirect
24. #563C22semidirect
25. #563C22semidirect
26. #562C22semidirect
27. #562C22semidirect
28. #557C22semidirect
29. #556C22semidirect
30. #556C22semidirect
31. #556C22semidirect
32. #554C22semidirect
33. #554C22semidirect
34. #554C22semidirect
35. #554C22semidirect
36. #554C22semidirect
37. #554C22semidirect
38. #554C22semidirect
39. #554C22semidirect
40. #554C22semidirect
41. #554C22semidirect
42. #554C22semidirect
43. #553C22semidirect
44. #553C22semidirect
45. #553C22semidirect
46. #553C22semidirect
47. #553C22semidirect
48. #553C22semidirect
49. #553C22semidirect
50. #553C22semidirect
51. #552C22semidirect
52. #552C22semidirect
53. #552C22semidirect
54. #552C22semidirect
55. #552C22semidirect
56. #552C22semidirect
57. #552C22semidirect
58. #552C22semidirect
59. #551C22semidirect
60. #551C22semidirect
61. #551C22semidirect
62. D4×Q8C22semidirect
63. D4×Q8C22semidirect
64. D4×Q8C22semidirect
65. #548C22semidirect
66. #548C22semidirect
67. #548C22semidirect
68. #548C22semidirect
69. #547C22semidirect
70. #547C22semidirect
71. #547C22semidirect
72. #547C22semidirect
73. #546C22semidirect
74. #546C22semidirect
75. #544C22semidirect
76. #544C22semidirect
77. #544C22semidirect
78. #544C22semidirect
81. #543C22semidirect
82. #543C22semidirect
83. #542C22semidirect
84. #542C22semidirect
85. #542C22semidirect
86. #542C22semidirect
87. #542C22semidirect
88. #541C22semidirect
89. #541C22semidirect
90. #541C22semidirect
91. #541C22semidirect
92. #541C22semidirect
95. #539C22semidirect
96. #539C22semidirect
97. #539C22semidirect
98. #539C22semidirect
99. #539C22semidirect
100. #539C22semidirect
101. #539C22semidirect
102. #539C22semidirect
103. #539C22semidirect
106. #538C22semidirect
107. #538C22semidirect
108. #538C22semidirect
109. #538C22semidirect
110. #537C22semidirect
111. #537C22semidirect
112. #536C22semidirect
113. #536C22semidirect
117. #533C22semidirect
118. #533C22semidirect
119. C2×C4⋊Q8C22semidirect
122. #529C22semidirect
123. #529C22semidirect
124. #529C22semidirect
125. #529C22semidirect
126. C2×#126C22semidirect
127. C2×#125C22semidirect
128. C2×#125C22semidirect
131. #525C22semidirect
132. #525C22semidirect
133. #525C22semidirect
134. #525C22semidirect
135. C2×#123C22semidirect
138. C2×C22⋊Q8C22semidirect
139. C2×C22⋊Q8C22semidirect
140. C2×C22⋊Q8C22semidirect
141. C2×C22⋊Q8C22semidirect
144. C2×#121C22semidirect
145. #520C22semidirect
146. #520C22semidirect
147. #519C22semidirect
150. C2×C4×Q8C22semidirect
155. C2×C4×D4C22semidirect
156. C2×#117C22semidirect
158. C22×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#35642
#35632
#35532
#35522
#35412
#35362
#35352
#35202
#35162
#35052
#35012
#34952
#34922
C2×#5542
C2×#5532
#34592