Finite Group Databasebeta

← #63063

Subgroups — #63063

Order 256.

3458 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3561C212yesmaximal, complemented
2#3560C218yesmaximal, complemented
3#3559C214yesmaximal, complemented
4#3552C214yesmaximal, complemented
5#3551C212yesmaximal, complemented
6#3550C211yesmaximal, characteristic, complemented
7#3545C212yesmaximal, complemented
8#3544C214yesmaximal, complemented
9#3541C214yesmaximal, complemented
10#3538C212yesmaximal, complemented
11#3535C218yesmaximal, complemented
12#3533C214yesmaximal, complemented
13#3529C211yesmaximal, characteristic, complemented
14C2×#563C212yesmaximal, complemented
15#3521C214yesmaximal, complemented
16#3515C212yesmaximal, complemented
17#3500C211yesmaximal, characteristic, complemented
18#3499C212yesmaximal, complemented
19#3489C214yesmaximal, complemented
20#3485C212yesmaximal, complemented
21C2×2−1+4C2212yescomplemented
22C2×2−1+4C2211yescharacteristic, complemented
23C2×H(5,𝔽2)C2211yescharacteristic
24C22×#41C2212yescomplemented
25#563C2211yescharacteristic, complemented
26#563C2214yescomplemented
27#563C2218yescomplemented
28#563C2214yescomplemented
29#563C2212yescomplemented
30#563C2218yescomplemented
31#563C2214yescomplemented
32#563C2212yescomplemented
33#563C2214yescomplemented
34#563C2218yescomplemented
35#563C2212yescomplemented
36#562C2214yescomplemented
37#562C2212yescomplemented
38#562C2218yescomplemented
39#562C2214yescomplemented
40H(3,𝔽4)C2211yescharacteristic, complemented
41#560C2212yescomplemented
42#560C2214yescomplemented
43#560C2214yescomplemented
44#559C2212yescomplemented
45Q82C2212yescomplemented
46#557C2212yescomplemented
47#556C2214yescomplemented
48#556C2214yescomplemented
49#555C2214yescomplemented
50#554C2212yescomplemented
51#554C2212yescomplemented
52#554C2218yescomplemented
53#554C2218yescomplemented
54#553C2214yescomplemented
55#553C2214yescomplemented
56#553C2218yescomplemented
57#553C2218yescomplemented
58#553C2218yescomplemented
59#552C2218yescomplemented
60#552C2214yescomplemented
61#552C2214yescomplemented
62#552C2218yescomplemented
63#552C2214yescomplemented
64#551C2218yescomplemented
65#551C2218yescomplemented
66#551C2214yescomplemented
67#551C2214yescomplemented
68#551C2218yescomplemented
69#551C2214yescomplemented
70D4×Q8C2214yescomplemented
71D4×Q8C2214yescomplemented
72D4×Q8C2214yescomplemented
73D4×Q8C2214yescomplemented
74#548C2214yescomplemented
75#548C2214yescomplemented
76#548C2214yescomplemented
77#547C2214yes—
78#547C2214yescomplemented
79#547C2218yescomplemented
80#547C2212yescomplemented
81#547C2214yescomplemented
82#547C2218yescomplemented
83#547C2218yescomplemented
84#547C2218yescomplemented
85#547C2218yescomplemented
86#546C2214yes—
87#546C2218yes—
88#546C2214yescomplemented
89#546C2214yescomplemented
90#546C2218yescomplemented
91#546C2218yescomplemented
92#546C2218yescomplemented
93#544C2218yescomplemented
94#544C2218yescomplemented
95#543C2214yescomplemented
96#542C2214yescomplemented
97#542C2218yescomplemented
98#542C2218yescomplemented
99#542C2218yescomplemented
100#542C2218yescomplemented
101#541C2214yescomplemented
102#541C2214yescomplemented
103#540C2218yescomplemented
104#539C2218yescomplemented
105#539C2218yescomplemented
106#539C2218yescomplemented
107#539C2218yescomplemented
108#539C2218yescomplemented
109#539C2218yescomplemented
110#538C2218yescomplemented
111#538C2218yescomplemented
112#538C2218yescomplemented
113#538C2218yescomplemented
114#538C2214yescomplemented
115#537C2214yescomplemented
116#537C2218yescomplemented
117#536C2212yes—
118#536C2211yescharacteristic
119#536C2212yescomplemented
120#536C2218yescomplemented
121#536C2214yescomplemented
122#536C2214yescomplemented
123#536C2212yescomplemented
124#536C2214yescomplemented
125#536C2212yescomplemented
126#536C2212yescomplemented
127#535C2212yes—
128#535C2211yescharacteristic, complemented
129#534C2214yes—
130#534C2214yescomplemented
131#533C2212yescomplemented
132#532C2211yescharacteristic
133#532C2212yescomplemented
134#532C2214yescomplemented
135#532C2212yescomplemented
136C2×C4⋊Q8C2214yescomplemented
137C2×C4⋊Q8C2212yescomplemented
138#529C2212yescomplemented
139#529C2214yescomplemented
140#529C2214yescomplemented
141#529C2218yescomplemented
142#529C2214yescomplemented
143C2×#126C2218yescomplemented
144C2×#125C2214yescomplemented
145C2×#124C2212yes—
146C2×#124C2211yescharacteristic, complemented
147#525C2212yes—
148#525C2212yescomplemented
149#525C2214yescomplemented
150#525C2218yescomplemented
151C2×#123C2214yes—
152C2×#123C2214yescomplemented
153C2×C22⋊Q8C2218yescomplemented
154C2×C22⋊Q8C2214yescomplemented
155#520C2214yescomplemented
156#518C2212yescomplemented
157C4×#41C2212yescomplemented
158C4×#41C2211yescharacteristic, complemented
1592−1+4—48no—
1602−1+4—44no—
161H(5,𝔽2)—44no—
162C2×#41—48no—
163C2×#41C2312yes—
164C2×#41C2311yescharacteristic
165C2×#41C2314yes—
166C2×#41C2311yescharacteristic
167C2×#41C2312yes—
168C2×#41C2312yes—
169C2×#41C2318yes—
170C2×#41C2311yescharacteristic
171C2×#41C2312yes—
172C2×#41C2314yes—
173C2×#41C2314yes—
174C2×#41C2312yes—
175C2×#41C2318yes—
176C2×#41C2314yes—
177C22×Q8C2314yes—
178C22×Q8C2314yes—
179C22×Q8C2312yes—
180C22×Q8C2311yescharacteristic
181C22×Q8C2312yes—
182C22×Q8C2312yes—
183C22×Q8C2312yes—
184C22×D4C2312yes—
185C22×D4C2312yes—
186C22×D4C2314yes—
187C22×D4C2311yescharacteristic
188C22×D4C2314yes—
189C23×C4C2314yes—
190C23×C4C2312yes—
191C4⋊Q8C2312yes—
192C4⋊Q8C2314yes—
193C4⋊Q8C2314yes—
194C4⋊Q8C2314yes—
195C4⋊Q8C2314yes—
196C4⋊Q8C2314yes—
197C4⋊Q8C2314yes—
198C4⋊Q8C2318yes—
199C4⋊Q8C2318yes—
200C4⋊Q8C2311yescharacteristic
201C4⋊Q8C2312yes—
202C4⋊Q8C2312yes—
203C4⋊Q8C2312yes—
204C4⋊Q8C2314yes—
205C4⋊Q8C2318yes—
206C4⋊Q8C2318yes—
207#127C2311yescharacteristic
208#127C2312yes—
209#127C2312yes—
210#126C2314yes—
211#126C2318yes—
212#126C2318yes—
213#126C2318yes—
214#126C2318yes—
215#126C2318yes—
216#126C2318yes—
217#126C2318yes—
218#126C2314yes—
219#126C2318yes—
220#126C2314yes—
221#126C2318yes—
222#126C2318yes—
223#126C2318yes—
224#126C2318yes—
225#126C2318yes—
226#125C2312yes—
227#125C2314yes—
228#125C2314yes—
229#125C2314yes—
230#125C2318yes—
231#125C2318yes—
232#125C2318yes—
233#125C2314yes—
234#125C2314yes—
235#125C2318yes—
236#125C2318yes—
237#125C2318yes—
238#125C2318yes—
239#124C2311yescharacteristic
240#124C2312yes—
241#124C2312yes—
242#124C2312yes—
243#124C2318yes—
244#124C2312yes—
245#124C2314yes—
246#124C2312yes—
247#124C2314yes—
248#124C2318yes—
249#124C2314yes—
250#124C2311yescharacteristic
251#124C2314yes—
252#124C2314yes—
253#124C2312yes—
254#124C2312yes—
255#124C2314yes—
256#124C2318yes—
257#124C2318yes—
258#124C2318yes—
259#123C2312yes—
260#123C2314yes—
261#123C2314yes—
262#123C2314yes—
263#123C2318yes—
264#123C2318yes—
265#123C2312yes—
266#123C2314yes—
267#123C2314yes—
268#123C2318yes—
269#123C2318yes—
270#123C2318yes—
271#123C2318yes—
272#123C2314yes—
273#123C2314yes—
274#123C2318yes—
275#123C2318yes—
276#123C2318yes—
277#123C2318yes—
278#123C2314yes—
279#123C2314yes—
280#123C2314yes—
281#123C2318yes—
282#123C2314yes—
283#123C2318yes—
284#123C2318yes—
285#123C2318yes—
286#123C2314yes—
287#123C2314yes—
288#123C2318yes—
289#123C2318yes—
290#123C2318yes—
291#123C2318yes—
292C22⋊Q8C2314yes—
293C22⋊Q8C2318yes—
294C22⋊Q8C2314yes—
295C22⋊Q8C2314yes—
296C22⋊Q8C2318yes—
297C22⋊Q8C2318yes—
298C22⋊Q8C2318yes—
299C22⋊Q8C2314yes—
300C22⋊Q8C2314yes—
301C22⋊Q8C2318yes—
302C22⋊Q8C2318yes—
303C22⋊Q8C2318yes—
304C22⋊Q8C2318yes—
305C22⋊Q8C2314yes—
306C22⋊Q8C2318yes—
307C22⋊Q8C2314yes—
308C22⋊Q8C2314yes—
309C22⋊Q8C2314yes—
310C22⋊Q8C2318yes—
311C22⋊Q8C2314yes—
312C22⋊Q8C2314yes—
313C22⋊Q8C2312yes—
314C22⋊Q8C2314yes—
315C22⋊Q8C2314yes—
316C22⋊Q8C2318yes—
317C22⋊Q8C2318yes—
318C22⋊Q8C2318yes—
319C22⋊Q8C2318yes—
320C22⋊Q8C2318yes—
321C22⋊Q8C2318yes—
322C22⋊Q8C2318yes—
323C22⋊Q8C2318yes—
324C22⋊Q8C2318yes—
325C22⋊Q8C2318yes—
326C22⋊Q8C2318yes—
327#121C2314yes—
328#121C2314yes—
329#121C2318yes—
330#121C2314yes—
331#121C2314yes—
332#121C2318yes—
333#121C2314yes—
334#121C2314yes—
335#121C2314yes—
336#121C2312yes—
337#121C2314yes—
338#121C2318yes—
339#121C2318yes—
340#121C2318yes—
341#121C2314yes—
342#121C2314yes—
343#121C2318yes—
344#121C2318yes—
345#121C2318yes—
346#121C2318yes—
347#121C2318yes—
348#121C2318yes—
349#121C2318yes—
350#121C2318yes—
351#120C2312yes—
352#120C2312yes—
353#120C2314yes—
354#120C2318yes—
355#120C2318yes—
356#120C2314yes—
357#120C2314yes—
358#120C2318yes—
359#120C2314yes—
360C4×Q8C2312yes—
361C4×Q8C2314yes—
362C4×Q8C2314yes—
363C4×Q8C2314yes—
364C4×Q8C2312yes—
365C4×Q8C2314yes—
366C4×Q8C2318yes—
367C4×Q8C2314yes—
368C4×D4C2314yes—
369C4×D4C2312yes—
370C4×D4C2318yes—
371C4×D4C2314yes—
372C4×D4C2318yes—
373C4×D4C2314yes—
374C4×D4C2318yes—
375C4×D4C2318yes—
376C4×D4C2314yes—
377C4×D4C2314yes—
378C4×D4C2312yes—
379C4×D4C2314yes—
380C4×D4C2314yes—
381C4×D4C2318yes—
382C4×D4C2318yes—
383C4×D4C2318yes—
384C4×D4C2318yes—
385C4×D4C2318yes—
386C4×D4C2318yes—
387C4×D4C2314yes—
388C4×D4C2318yes—
389C4×D4C2318yes—
390C4×D4C2318yes—
391C4×D4C2318yes—
392#117C2312yes—
393#117C2311yescharacteristic
394#117C2314yes—
395#117C2312yes—
396#117C2312yes—
397#117C2312yes—
398#117C2314yes—
399#117C2318yes—
400#117C2318yes—
401#117C2318yes—
402#117C2318yes—
403#117C2318yes—
404#117C2314yes—
405C2×C4⋊C4C2318yes—
406C2×C4⋊C4C2314yes—
407C2×C4⋊C4C2314yes—
408C2×C4⋊C4C2318yes—
409C2×C4⋊C4C2318yes—
410C2×C4⋊C4C2318yes—
411C2×C4⋊C4C2318yes—
412C2×C4⋊C4C2314yes—
413C2×C4⋊C4C2318yes—
414C2×C22⋊C4C2314yes—
415C2×C22⋊C4C2314yes—
416C2×C22⋊C4C2318yes—
417C2×C22⋊C4C2318yes—
418C2×C22⋊C4C2318yes—
419C2×C22⋊C4C2318yes—
420C2×C22⋊C4C2314yes—
421C2×C42C2312yes—
422C2×C42C2311yescharacteristic
423C2×C42C2314yes—
424C2×C42C2312yes—
425C24C2414yes—
426C24C2412yes—
427C24C2412yes—
428#41—216no—
429#41—24no—
430#41—28no—
431#41—42no—
432#41—44no—
433#41—42no—
434#41—416no—
435#41—44no—
436#41—416no—
437#41—44no—
438#41—48no—
439#41—48no—
440#41—48no—
441#41—44no—
442C2×Q8—48no—
443C2×Q8—44no—
444C2×Q8—44no—
445C2×Q8—48no—
446C2×Q8—42no—
447C2×Q8—44no—
448C2×Q8—44no—
449C2×Q8C2412yes—
450C2×Q8C2414yes—
451C2×Q8C2411yescharacteristic
452C2×Q8C2412yes—
453C2×Q8C2414yes—
454C2×Q8C2412yes—
455C2×Q8C2418yes—
456C2×Q8C2414yes—
457C2×Q8C2414yes—
458C2×Q8C2414yes—
459C2×Q8C2412yes—
460C2×Q8C2411yescharacteristic
461C2×Q8C2411yescharacteristic
462C2×D4—28no—
463C2×D4—42no—
464C2×D4—44no—
465C2×D4—48no—
466C2×D4—48no—
467C2×D4C2414yes—
468C2×D4C2418yes—
469C2×D4C2414yes—
470C2×D4C2412yes—
471C2×D4C2412yes—
472C2×D4C2414yes—
473C2×D4C2418yes—
474C2×D4C2414yes—
475C2×D4C2414yes—
476C2×D4C2412yes—
477C2×D4C2418yes—
478C2×D4C2414yes—
479C2×D4C2412yes—
480C2×D4C2412yes—
481C2×D4C2411yescharacteristic
482C2×D4C2414yes—
483C2×D4C2418yes—
484C2×D4C2412yes—
485C2×D4C2414yes—
486C2×D4C2412yes—
487C2×D4C2411yescharacteristic
488C2×D4C2411yescharacteristic
489C22×C4—44no—
490C22×C4—48no—
491C22×C4C2414yes—
492C22×C4C2412yes—
493C22×C4C2412yes—
494C22×C4C2411yescharacteristic
495C22×C4C2418yes—
496C22×C4C2414yes—
497C22×C4C2412yes—
498C22×C4C2414yes—
499C22×C4C2418yes—
500C22×C4C2412yes—
501C22×C4C2414yes—
502C22×C4C2418yes—
503C22×C4C2412yes—
504C22×C4C2418yes—
505C22×C4C2418yes—
506C22×C4C2418yes—
507C22×C4C2414yes—
508C22×C4C2414yes—
509C22×C4C2414yes—
510C22×C4C2414yes—
511C22×C4C2414yes—
512C22×C4C2412yes—
513C4⋊C4C2412yes—
514C4⋊C4C2414yes—
515C4⋊C4C2418yes—
516C4⋊C4C2418yes—
517C4⋊C4C2414yes—
518C4⋊C4C2418yes—
519C4⋊C4C2414yes—
520C4⋊C4C2418yes—
521C4⋊C4C2412yes—
522C4⋊C4C2418yes—
523C4⋊C4C2418yes—
524C4⋊C4C2414yes—
525C4⋊C4C2418yes—
526C4⋊C4C2418yes—
527C4⋊C4C2412yes—
528C4⋊C4C2414yes—
529C4⋊C4C2418yes—
530C4⋊C4C2418yes—
531C4⋊C4C2418yes—
532C4⋊C4C2414yes—
533C4⋊C4C2414yes—
534C4⋊C4C2418yes—
535C4⋊C4C2418yes—
536C4⋊C4C2418yes—
537C4⋊C4C2418yes—
538C4⋊C4C2414yes—
539C4⋊C4C2418yes—
540C4⋊C4C2414yes—
541C4⋊C4C2414yes—
542C4⋊C4C2414yes—
543C4⋊C4C2418yes—
544C4⋊C4C2414yes—
545C4⋊C4C2414yes—
546C22⋊C4C2412yes—
547C22⋊C4C2414yes—
548C22⋊C4C2412yes—
549C22⋊C4C2414yes—
550C22⋊C4C2418yes—
551C22⋊C4C2418yes—
552C22⋊C4C2414yes—
553C22⋊C4C2418yes—
554C22⋊C4C2414yes—
555C22⋊C4C2418yes—
556C22⋊C4C2418yes—
557C22⋊C4C2418yes—
558C22⋊C4C2418yes—
559C22⋊C4C2418yes—
560C22⋊C4C2418yes—
561C22⋊C4C2418yes—
562C22⋊C4C2418yes—
563C22⋊C4C2418yes—
564C22⋊C4C2418yes—
565C22⋊C4C2414yes—
566C22⋊C4C2414yes—
567C22⋊C4C2414yes—
568C22⋊C4C2412yes—
569C22⋊C4C2414yes—
570C22⋊C4C2414yes—
571C22⋊C4C2414yes—
572C22⋊C4C2418yes—
573C22⋊C4C2414yes—
574C22⋊C4C2414yes—
575C22⋊C4C2414yes—
576C22⋊C4C2418yes—
577C22⋊C4C2414yes—
578C42C2411yescharacteristic
579C42C2412yes—
580C42C2412yes—
581C42C2412yes—
582C42C2414yes—
583C42C2412yes—
584C42C2418yes—
585C42C2414yes—
586C42C2411yescharacteristic
587C42C2414yes—
588C42C2414yes—
589C42C2418yes—
590C42C2418yes—
591C23—28no—
592C23—42no—
593C23—48no—
594C23—44no—
595C23—42no—
596C23—44no—
597C23C2512yes—
598C23C2511yescharacteristic
599C23C2514yes—
600C23C2514yes—
601C23C2512yes—
602C23C2512yes—
603Q8—24no—
604Q8—28no—
605Q8—22no—
606Q8—42no—
607Q8—48no—
608Q8—41no—
609Q8—42no—
610Q8—44no—
611Q8—44no—
612Q8—44no—
613Q8—42no—
614Q8—44no—
615Q8—41no—
616D4—28no—
617D4—24no—
618D4—216no—
619D4—28no—
620D4—24no—
621D4—41no—
622D4—42no—
623D4—42no—
624D4—44no—
625D4—48no—
626D4—44no—
627D4—48no—
628D4—44no—
629D4—44no—
630D4—48no—
631D4—42no—
632D4—44no—
633D4—44no—
634D4—41no—
635D4—42no—
636D4—42no—
637D4H(5,𝔽2)14yes—
638C2×C4—216no—
639C2×C4—24no—
640C2×C4—28no—
641C2×C4—24no—
642C2×C4—28no—
643C2×C4—22no—
644C2×C4—24no—
645C2×C4—42no—
646C2×C4—44no—
647C2×C4—44no—
648C2×C4—48no—
649C2×C4—44no—
650C2×C4—48no—
651C2×C4—48no—
652C2×C4—44no—
653C2×C4—48no—
654C2×C4—42no—
655C2×C4—44no—
656C2×C4—44no—
657C2×C4—44no—
658C2×C4—48no—
659C2×C4—42no—
660C2×C4C2512yes—
661C2×C4C2512yes—
662C2×C4C2514yes—
663C2×C4C2518yes—
664C2×C4C2514yes—
665C2×C4C2514yes—
666C2×C4C2512yes—
667C2×C4C2511yescharacteristic
668C2×C4C2514yes—
669C2×C4C2518yes—
670C2×C4C2512yes—
671C2×C4C2512yes—
672C2×C4C2514yes—
673C2×C4C2511yescharacteristic
674C22—24no—
675C22—22no—
676C22—24no—
677C22—22no—
678C22—21no—
679C22—24no—
680C22—24no—
681C22—24no—
682C22—28no—
683C22—22no—
684C22—24no—
685C22—24no—
686C22—88no—
687C22—84no—
688C22—162no—
689C22C2×H(5,𝔽2)14yes—
690C22C2611yescharacteristic
691C4—24no—
692C4—21no—
693C4—22no—
694C4—22no—
695C4—22no—
696C4—28no—
697C4—24no—
698C4—24no—
699C4—24no—
700C4—22no—
701C4—28no—
702C4—24no—
703C4—22no—
704C4C2×H(5,𝔽2)12yes—
705C2—24no—
706C2—42no—
707C2—44no—
708C2—42no—
709C2—44no—
710C2—41no—
711C2C22×H(5,𝔽2)11yescharacteristic
712C22−1+612yes—
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. #3561C2semidirect
2. #3560C2semidirect
3. #3559C2semidirect
4. #3552C2semidirect
5. #3551C2semidirect
6. #3550C2semidirect
7. #3545C2semidirect
8. #3544C2semidirect
9. #3541C2semidirect
10. #3538C2semidirect
11. #3535C2semidirect
12. #3533C2semidirect
13. #3529C2semidirect
14. C2×#563C2semidirect
15. #3521C2semidirect
16. #3515C2semidirect
17. #3500C2semidirect
18. #3499C2semidirect
19. #3489C2semidirect
20. #3485C2semidirect
21. C2×2−1+4C22semidirect
22. C2×2−1+4C22semidirect
24. C22×#41C22semidirect
25. #563C22semidirect
26. #563C22semidirect
27. #563C22semidirect
28. #563C22semidirect
29. #563C22semidirect
30. #563C22semidirect
31. #563C22semidirect
32. #563C22semidirect
33. #563C22semidirect
34. #563C22semidirect
35. #563C22semidirect
36. #562C22semidirect
37. #562C22semidirect
38. #562C22semidirect
39. #562C22semidirect
40. H(3,𝔽4)C22semidirect
41. #560C22semidirect
42. #560C22semidirect
43. #560C22semidirect
44. #559C22semidirect
45. Q82C22semidirect
46. #557C22semidirect
47. #556C22semidirect
48. #556C22semidirect
49. #555C22semidirect
50. #554C22semidirect
51. #554C22semidirect
52. #554C22semidirect
53. #554C22semidirect
54. #553C22semidirect
55. #553C22semidirect
56. #553C22semidirect
57. #553C22semidirect
58. #553C22semidirect
59. #552C22semidirect
60. #552C22semidirect
61. #552C22semidirect
62. #552C22semidirect
63. #552C22semidirect
64. #551C22semidirect
65. #551C22semidirect
66. #551C22semidirect
67. #551C22semidirect
68. #551C22semidirect
69. #551C22semidirect
70. D4×Q8C22semidirect
71. D4×Q8C22semidirect
72. D4×Q8C22semidirect
73. D4×Q8C22semidirect
74. #548C22semidirect
75. #548C22semidirect
76. #548C22semidirect
78. #547C22semidirect
79. #547C22semidirect
80. #547C22semidirect
81. #547C22semidirect
82. #547C22semidirect
83. #547C22semidirect
84. #547C22semidirect
85. #547C22semidirect
88. #546C22semidirect
89. #546C22semidirect
90. #546C22semidirect
91. #546C22semidirect
92. #546C22semidirect
93. #544C22semidirect
94. #544C22semidirect
95. #543C22semidirect
96. #542C22semidirect
97. #542C22semidirect
98. #542C22semidirect
99. #542C22semidirect
100. #542C22semidirect
101. #541C22semidirect
102. #541C22semidirect
103. #540C22semidirect
104. #539C22semidirect
105. #539C22semidirect
106. #539C22semidirect
107. #539C22semidirect
108. #539C22semidirect
109. #539C22semidirect
110. #538C22semidirect
111. #538C22semidirect
112. #538C22semidirect
113. #538C22semidirect
114. #538C22semidirect
115. #537C22semidirect
116. #537C22semidirect
119. #536C22semidirect
120. #536C22semidirect
121. #536C22semidirect
122. #536C22semidirect
123. #536C22semidirect
124. #536C22semidirect
125. #536C22semidirect
126. #536C22semidirect
128. #535C22semidirect
130. #534C22semidirect
131. #533C22semidirect
133. #532C22semidirect
134. #532C22semidirect
135. #532C22semidirect
136. C2×C4⋊Q8C22semidirect
137. C2×C4⋊Q8C22semidirect
138. #529C22semidirect
139. #529C22semidirect
140. #529C22semidirect
141. #529C22semidirect
142. #529C22semidirect
143. C2×#126C22semidirect
144. C2×#125C22semidirect
146. C2×#124C22semidirect
148. #525C22semidirect
149. #525C22semidirect
150. #525C22semidirect
152. C2×#123C22semidirect
153. C2×C22⋊Q8C22semidirect
154. C2×C22⋊Q8C22semidirect
155. #520C22semidirect
156. #518C22semidirect
157. C4×#41C22semidirect
158. C4×#41C22semidirect

Maximal subgroups

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

subgroupindex
#35612
#35602
#35592
#35522
#35512
#35502
#35452
#35442
#35412
#35382
#35352
#35332
#35292
C2×#5632
#35212
#35152
#35002
#34992
#34892
#34852