Finite Group Databasebeta

← #62879

Subgroups — #62879

Order 256.

3199 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3565C214yesmaximal, complemented
2#3565C214yesmaximal, complemented
3#3564C214yesmaximal, complemented
4#3561C214yesmaximal, complemented
5#3557C214yesmaximal, complemented
6#3555C214yesmaximal, complemented
7#3554C214yesmaximal, complemented
8#3552C214yesmaximal, complemented
9#3550C214yesmaximal, complemented
10#3544C214yesmaximal, complemented
11#3538C214yesmaximal, complemented
12#3535C214yesmaximal, complemented
13#3510C212yesmaximal, complemented
14#3507C211yesmaximal, characteristic, complemented
15#3506C211yesmaximal, characteristic, complemented
16#3503C212yesmaximal, complemented
17#3502C211yesmaximal, characteristic, complemented
18#3501C211yesmaximal, characteristic, complemented
19#3495C212yesmaximal, complemented
20#3494C212yesmaximal, complemented
21#3458C211yesmaximal, characteristic, complemented
22#3455C211yesmaximal, characteristic, complemented
23C2×#542C211yesmaximal, characteristic, complemented
24#563C2218yescomplemented
25#563C2218yescomplemented
26#563C2218yescomplemented
27#563C2218yescomplemented
28#563C2218yescomplemented
29#563C2218yescomplemented
30#562C2218yescomplemented
31#562C2218yescomplemented
32#559C2214yescomplemented
33#559C2212yescomplemented
34#559C2214yescomplemented
35#559C2214yescomplemented
36Q82C2212yescomplemented
37Q82C2212yescomplemented
38Q82C2214yescomplemented
39#557C2214yescomplemented
40#557C2214yescomplemented
41#557C2212yescomplemented
42#557C2212yescomplemented
43#557C2214yescomplemented
44#557C2212yescomplemented
45#556C2214yescomplemented
46#556C2212yescomplemented
47#556C2214yescomplemented
48#556C2212yescomplemented
49#556C2214yescomplemented
50#556C2214yescomplemented
51#556C2218yescomplemented
52#556C2218yescomplemented
53#555C2214yes—
54#555C2212yescomplemented
55#554C2218yes—
56#554C2214yescomplemented
57#554C2214yescomplemented
58#554C2214yescomplemented
59#554C2212yescomplemented
60#554C2212yescomplemented
61#554C2214yescomplemented
62#554C2212yescomplemented
63#553C2214yes—
64#553C2214yes—
65#553C2214yescomplemented
66#552C2218yes—
67#552C2214yescomplemented
68#552C2214yescomplemented
69#552C2214yescomplemented
70#552C2218yescomplemented
71#552C2218yescomplemented
72#552C2218yescomplemented
73#551C2218yes—
74#551C2218yes—
75#551C2218yes—
76#551C2218yes—
77#550C2212yescomplemented
78D4×Q8C2218yes—
79D4×Q8C2212yescomplemented
80D4×Q8C2212yescomplemented
81D4×Q8C2214yescomplemented
82D4×Q8C2218yescomplemented
83#548C2218yescomplemented
84#547C2214yes—
85#547C2212yescomplemented
86#547C2218yescomplemented
87#546C2218yes—
88#544C2212yes—
89#544C2212yes—
90#544C2212yes—
91#544C2212yes—
92#544C2214yes—
93#544C2212yescomplemented
94#544C2212yescomplemented
95#544C2212yescomplemented
96#544C2212yescomplemented
97#544C2214yescomplemented
98#544C2214yescomplemented
99#544C2218yescomplemented
100#543C2212yes—
101#543C2212yes—
102#543C2214yes—
103#542C2214yes—
104#542C2214yes—
105#542C2214yes—
106#542C2214yes—
107#542C2214yes—
108#542C2212yescomplemented
109#542C2212yescomplemented
110#542C2214yescomplemented
111#542C2214yescomplemented
112#542C2214yescomplemented
113#542C2218yescomplemented
114#542C2218yescomplemented
115#542C2218yescomplemented
116#542C2218yescomplemented
117#542C2218yescomplemented
118#541C2212yescomplemented
119#541C2214yescomplemented
120#541C2218yescomplemented
121#541C2218yescomplemented
122#541C2218yescomplemented
123#540C2214yes—
124#540C2212yescomplemented
125#539C2212yes—
126#539C2212yes—
127#539C2214yes—
128#539C2218yescomplemented
129#539C2218yescomplemented
130#539C2218yescomplemented
131#539C2218yescomplemented
132#538C2212yes—
133#538C2212yes—
134#538C2214yes—
135#536C2212yes—
136#536C2218yescomplemented
137#536C2218yescomplemented
138#536C2218yescomplemented
139#535C2212yes—
140#533C2211yescharacteristic
141#533C2211yescharacteristic
142#533C2211yescharacteristic
143#533C2212yes—
144#533C2214yes—
145#533C2214yescomplemented
146#533C2214yescomplemented
147#533C2214yescomplemented
148#533C2214yescomplemented
149#532C2211yescharacteristic
150#532C2214yes—
151C2×C4⋊Q8C2211yescharacteristic
152C2×C4⋊Q8C2214yescomplemented
153#529C2214yes—
154#529C2214yes—
155#529C2214yescomplemented
156#529C2214yescomplemented
157#529C2214yescomplemented
158#529C2214yescomplemented
159#529C2214yescomplemented
160C2×#126C2212yes—
161C2×#124C2211yescharacteristic
162C2×#124C2212yes—
163#525C2212yes—
164#525C2214yes—
165C2×#123C2212yes—
166C2×C22⋊Q8C2211yescharacteristic
167C2×C22⋊Q8C2212yes—
168C2×C22⋊Q8C2214yes—
169C2×#121C2211yescharacteristic
170#520C2212yes—
171#520C2212yes—
172#519C2212yes—
173#518C2212yes—
174C4×#41C2212yes—
175C2×C4×Q8C2211yescharacteristic
176C2×C4×D4C2211yescharacteristic
177C2×#117C2211yescharacteristic
178C2×#117C2212yes—
179C2×#41C2312yes—
180C2×#41C2314yes—
181C2×#41C2318yes—
182C22×Q8C2311yescharacteristic
183C22×Q8C2312yes—
184C22×Q8C2314yes—
185C22×Q8C2318yes—
186C22×D4C2311yescharacteristic
187C22×D4C2312yes—
188C23×C4C2311yescharacteristic
189C23×C4C2312yes—
190C4⋊Q8C2314yes—
191C4⋊Q8C2314yes—
192C4⋊Q8C2312yes—
193C4⋊Q8C2318yes—
194C4⋊Q8C2318yes—
195C4⋊Q8C2314yes—
196C4⋊Q8C2314yes—
197C4⋊Q8C2311yescharacteristic
198C4⋊Q8C2314yes—
199C4⋊Q8C2312yes—
200C4⋊Q8C2314yes—
201C4⋊Q8C2311yescharacteristic
202C4⋊Q8C2311yescharacteristic
203C4⋊Q8C2314yes—
204C4⋊Q8C2311yescharacteristic
205C4⋊Q8C2311yescharacteristic
206C4⋊Q8C2311yescharacteristic
207C4⋊Q8C2311yescharacteristic
208C4⋊Q8C2314yes—
209C4⋊Q8C2314yes—
210C4⋊Q8C2314yes—
211C4⋊Q8C2314yes—
212C4⋊Q8C2314yes—
213C4⋊Q8C2314yes—
214C4⋊Q8C2318yes—
215C4⋊Q8C2318yes—
216C4⋊Q8C2318yes—
217C4⋊Q8C2318yes—
218#127C2314yes—
219#127C2311yescharacteristic
220#126C2318yes—
221#126C2318yes—
222#126C2318yes—
223#126C2318yes—
224#126C2314yes—
225#126C2314yes—
226#126C2314yes—
227#126C2314yes—
228#126C2318yes—
229#126C2318yes—
230#126C2318yes—
231#126C2318yes—
232#126C2318yes—
233#126C2318yes—
234#126C2318yes—
235#126C2318yes—
236#126C2318yes—
237#126C2318yes—
238#126C2318yes—
239#125C2314yes—
240#125C2314yes—
241#125C2312yes—
242#125C2312yes—
243#125C2314yes—
244#125C2314yes—
245#125C2314yes—
246#125C2318yes—
247#125C2312yes—
248#125C2312yes—
249#125C2312yes—
250#125C2314yes—
251#125C2314yes—
252#125C2318yes—
253#125C2314yes—
254#125C2314yes—
255#125C2314yes—
256#125C2314yes—
257#125C2318yes—
258#125C2318yes—
259#125C2318yes—
260#125C2318yes—
261#125C2318yes—
262#125C2318yes—
263#125C2318yes—
264#124C2314yes—
265#124C2318yes—
266#124C2318yes—
267#124C2314yes—
268#124C2314yes—
269#124C2314yes—
270#124C2314yes—
271#124C2314yes—
272#124C2314yes—
273#124C2318yes—
274#124C2312yes—
275#124C2318yes—
276#124C2318yes—
277#124C2318yes—
278#124C2318yes—
279#124C2318yes—
280#123C2318yes—
281#123C2318yes—
282#123C2318yes—
283#123C2314yes—
284#123C2318yes—
285#123C2318yes—
286#123C2314yes—
287#123C2314yes—
288#123C2318yes—
289#123C2314yes—
290#123C2314yes—
291#123C2318yes—
292#123C2318yes—
293#123C2318yes—
294#123C2318yes—
295#123C2318yes—
296#123C2318yes—
297#123C2318yes—
298#123C2318yes—
299#123C2318yes—
300#123C2318yes—
301C22⋊Q8C2312yes—
302C22⋊Q8C2312yes—
303C22⋊Q8C2314yes—
304C22⋊Q8C2318yes—
305C22⋊Q8C2318yes—
306C22⋊Q8C2314yes—
307C22⋊Q8C2318yes—
308C22⋊Q8C2314yes—
309C22⋊Q8C2314yes—
310C22⋊Q8C2318yes—
311C22⋊Q8C2312yes—
312C22⋊Q8C2312yes—
313C22⋊Q8C2312yes—
314C22⋊Q8C2314yes—
315C22⋊Q8C2312yes—
316C22⋊Q8C2314yes—
317C22⋊Q8C2314yes—
318C22⋊Q8C2314yes—
319C22⋊Q8C2314yes—
320C22⋊Q8C2312yes—
321C22⋊Q8C2312yes—
322C22⋊Q8C2314yes—
323C22⋊Q8C2314yes—
324C22⋊Q8C2318yes—
325C22⋊Q8C2314yes—
326C22⋊Q8C2314yes—
327C22⋊Q8C2318yes—
328C22⋊Q8C2314yes—
329C22⋊Q8C2318yes—
330C22⋊Q8C2318yes—
331C22⋊Q8C2314yes—
332C22⋊Q8C2314yes—
333C22⋊Q8C2314yes—
334C22⋊Q8C2314yes—
335C22⋊Q8C2314yes—
336C22⋊Q8C2318yes—
337C22⋊Q8C2318yes—
338C22⋊Q8C2318yes—
339C22⋊Q8C2318yes—
340C22⋊Q8C2318yes—
341C22⋊Q8C2318yes—
342C22⋊Q8C2318yes—
343C22⋊Q8C2318yes—
344C22⋊Q8C2318yes—
345C22⋊Q8C2318yes—
346C22⋊Q8C2318yes—
347C22⋊Q8C2318yes—
348C22⋊Q8C2318yes—
349#121C2314yes—
350#121C2314yes—
351#121C2312yes—
352#121C2312yes—
353#121C2312yes—
354#121C2314yes—
355#121C2312yes—
356#121C2314yes—
357#121C2314yes—
358#121C2314yes—
359#121C2314yes—
360#121C2318yes—
361#121C2318yes—
362#121C2318yes—
363#121C2318yes—
364#120C2318yes—
365#120C2314yes—
366C4×Q8C2312yes—
367C4×Q8C2312yes—
368C4×Q8C2312yes—
369C4×Q8C2312yes—
370C4×Q8C2312yes—
371C4×Q8C2312yes—
372C4×Q8C2314yes—
373C4×Q8C2314yes—
374C4×Q8C2314yes—
375C4×Q8C2314yes—
376C4×Q8C2314yes—
377C4×Q8C2314yes—
378C4×Q8C2314yes—
379C4×Q8C2312yes—
380C4×Q8C2312yes—
381C4×Q8C2312yes—
382C4×Q8C2314yes—
383C4×Q8C2312yes—
384C4×Q8C2312yes—
385C4×Q8C2314yes—
386C4×Q8C2312yes—
387C4×Q8C2318yes—
388C4×Q8C2314yes—
389C4×Q8C2314yes—
390C4×Q8C2318yes—
391C4×Q8C2318yes—
392C4×Q8C2318yes—
393C4×D4C2312yes—
394C4×D4C2312yes—
395C4×D4C2312yes—
396C4×D4C2312yes—
397C4×D4C2314yes—
398C4×D4C2314yes—
399C4×D4C2312yes—
400C4×D4C2312yes—
401C4×D4C2314yes—
402C4×D4C2314yes—
403C4×D4C2314yes—
404C4×D4C2314yes—
405C4×D4C2318yes—
406C4×D4C2318yes—
407C4×D4C2314yes—
408C4×D4C2314yes—
409C4×D4C2314yes—
410C4×D4C2314yes—
411C4×D4C2318yes—
412C4×D4C2314yes—
413C4×D4C2318yes—
414C4×D4C2312yes—
415C4×D4C2312yes—
416C4×D4C2318yes—
417C4×D4C2318yes—
418C4×D4C2318yes—
419C4×D4C2318yes—
420#117C2312yes—
421#117C2312yes—
422#117C2312yes—
423#117C2312yes—
424#117C2314yes—
425#117C2312yes—
426#117C2312yes—
427#117C2314yes—
428#117C2312yes—
429#117C2312yes—
430#117C2312yes—
431#117C2314yes—
432#117C2318yes—
433#117C2314yes—
434#117C2314yes—
435#117C2314yes—
436#117C2318yes—
437#117C2318yes—
438#117C2318yes—
439#117C2318yes—
440#117C2318yes—
441#117C2318yes—
442C2×C4⋊C4C2311yescharacteristic
443C2×C4⋊C4C2311yescharacteristic
444C2×C4⋊C4C2312yes—
445C2×C4⋊C4C2312yes—
446C2×C4⋊C4C2311yescharacteristic
447C2×C4⋊C4C2311yescharacteristic
448C2×C4⋊C4C2312yes—
449C2×C4⋊C4C2314yes—
450C2×C4⋊C4C2314yes—
451C2×C4⋊C4C2312yes—
452C2×C4⋊C4C2314yes—
453C2×C4⋊C4C2318yes—
454C2×C4⋊C4C2312yes—
455C2×C4⋊C4C2318yes—
456C2×C22⋊C4C2311yescharacteristic
457C2×C22⋊C4C2311yescharacteristic
458C2×C22⋊C4C2314yes—
459C2×C22⋊C4C2312yes—
460C2×C22⋊C4C2318yes—
461C2×C22⋊C4C2312yes—
462C2×C22⋊C4C2312yes—
463C2×C22⋊C4C2312yes—
464C2×C22⋊C4C2312yes—
465C2×C42C2311yescharacteristic
466C2×C42C2311yescharacteristic
467C2×C42C2314yes—
468C2×C42C2312yes—
469C2×C42C2314yes—
470C24C2411yescharacteristic
471C24C2412yes—
472#41—28no—
473#41—84no—
474#41—88no—
475C2×Q8—24no—
476C2×Q8—82no—
477C2×Q8—84no—
478C2×Q8—88no—
479C2×Q8C2412yes—
480C2×Q8C2412yes—
481C2×Q8C2412yes—
482C2×Q8C2412yes—
483C2×Q8C2412yes—
484C2×Q8C2414yes—
485C2×Q8C2412yes—
486C2×Q8C2412yes—
487C2×Q8C2418yes—
488C2×Q8C2414yes—
489C2×Q8C2418yes—
490C2×Q8C2412yes—
491C2×Q8C2412yes—
492C2×Q8C2418yes—
493C2×D4—24no—
494C2×D4—82no—
495C2×D4C2414yes—
496C2×D4C2412yes—
497C2×D4C2412yes—
498C2×D4C2412yes—
499C2×D4C2414yes—
500C2×D4C2418yes—
501C2×D4C2412yes—
502C2×D4C2414yes—
503C2×D4C2418yes—
504C2×D4C2412yes—
505C2×D4C2418yes—
506C22×C4—24no—
507C22×C4—82no—
508C22×C4C2412yes—
509C22×C4C2412yes—
510C22×C4C2414yes—
511C22×C4C2411yescharacteristic
512C22×C4C2412yes—
513C22×C4C2411yescharacteristic
514C22×C4C2411yescharacteristic
515C22×C4C2411yescharacteristic
516C22×C4C2412yes—
517C22×C4C2411yescharacteristic
518C22×C4C2414yes—
519C22×C4C2414yes—
520C22×C4C2414yes—
521C22×C4C2414yes—
522C22×C4C2412yes—
523C22×C4C2418yes—
524C22×C4C2418yes—
525C22×C4C2418yes—
526C22×C4C2418yes—
527C22×C4C2414yes—
528C22×C4C2414yes—
529C22×C4C2411yescharacteristic
530C4⋊C4C2412yes—
531C4⋊C4C2412yes—
532C4⋊C4C2412yes—
533C4⋊C4C2412yes—
534C4⋊C4C2418yes—
535C4⋊C4C2414yes—
536C4⋊C4C2414yes—
537C4⋊C4C2412yes—
538C4⋊C4C2412yes—
539C4⋊C4C2418yes—
540C4⋊C4C2414yes—
541C4⋊C4C2412yes—
542C4⋊C4C2412yes—
543C4⋊C4C2412yes—
544C4⋊C4C2412yes—
545C4⋊C4C2414yes—
546C4⋊C4C2412yes—
547C4⋊C4C2412yes—
548C4⋊C4C2414yes—
549C4⋊C4C2418yes—
550C4⋊C4C2418yes—
551C4⋊C4C2418yes—
552C4⋊C4C2418yes—
553C4⋊C4C2412yes—
554C4⋊C4C2412yes—
555C4⋊C4C2418yes—
556C4⋊C4C2418yes—
557C4⋊C4C2414yes—
558C4⋊C4C2414yes—
559C4⋊C4C2412yes—
560C4⋊C4C2414yes—
561C4⋊C4C2412yes—
562C4⋊C4C2414yes—
563C4⋊C4C2414yes—
564C4⋊C4C2414yes—
565C4⋊C4C2418yes—
566C4⋊C4C2418yes—
567C4⋊C4C2412yes—
568C4⋊C4C2412yes—
569C4⋊C4C2414yes—
570C4⋊C4C2414yes—
571C4⋊C4C2418yes—
572C4⋊C4C2418yes—
573C4⋊C4C2412yes—
574C4⋊C4C2414yes—
575C4⋊C4C2414yes—
576C4⋊C4C2414yes—
577C4⋊C4C2418yes—
578C4⋊C4C2418yes—
579C4⋊C4C2412yes—
580C4⋊C4C2414yes—
581C4⋊C4C2414yes—
582C4⋊C4C2414yes—
583C4⋊C4C2414yes—
584C4⋊C4C2412yes—
585C4⋊C4C2412yes—
586C22⋊C4C2414yes—
587C22⋊C4C2414yes—
588C22⋊C4C2414yes—
589C22⋊C4C2412yes—
590C22⋊C4C2414yes—
591C22⋊C4C2414yes—
592C22⋊C4C2412yes—
593C22⋊C4C2412yes—
594C22⋊C4C2412yes—
595C22⋊C4C2418yes—
596C22⋊C4C2418yes—
597C22⋊C4C2418yes—
598C22⋊C4C2418yes—
599C22⋊C4C2414yes—
600C22⋊C4C2418yes—
601C22⋊C4C2418yes—
602C22⋊C4C2414yes—
603C22⋊C4C2418yes—
604C22⋊C4C2418yes—
605C22⋊C4C2414yes—
606C22⋊C4C2414yes—
607C22⋊C4C2414yes—
608C22⋊C4C2418yes—
609C22⋊C4C2418yes—
610C22⋊C4C2418yes—
611C22⋊C4C2414yes—
612C22⋊C4C2414yes—
613C22⋊C4C2414yes—
614C22⋊C4C2414yes—
615C22⋊C4C2414yes—
616C22⋊C4C2418yes—
617C42C2412yes—
618C42C2414yes—
619C42C2411yescharacteristic
620C42C2411yescharacteristic
621C42C2414yes—
622C42C2414yes—
623C42C2411yescharacteristic
624C42C2412yes—
625C42C2411yescharacteristic
626C42C2414yes—
627C42C2414yes—
628C42C2414yes—
629C42C2414yes—
630C42C2414yes—
631C42C2414yes—
632C42C2418yes—
633C42C2418yes—
634C42C2418yes—
635C42C2418yes—
636C23—22no—
637C23—24no—
638C23—42no—
639C23—41no—
640C23—41no—
641C23—42no—
642C23C2512yes—
643C23C2514yes—
644C23C2514yes—
645C23C2511yescharacteristic
646Q8—24no—
647Q8—24no—
648Q8—24no—
649Q8—42no—
650Q8—48no—
651Q8—48no—
652Q8—44no—
653Q8—42no—
654Q8—48no—
655Q8—42no—
656Q8—42no—
657Q8—44no—
658Q8—42no—
659Q8—42no—
660D4—28no—
661D4—24no—
662D4—24no—
663D4—24no—
664D4—48no—
665D4—44no—
666D4—48no—
667D4—42no—
668D4—42no—
669D4—48no—
670D4—44no—
671C2×C4—22no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—24no—
675C2×C4—28no—
676C2×C4—41no—
677C2×C4—42no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—48no—
681C2×C4—44no—
682C2×C4—41no—
683C2×C4—44no—
684C2×C4—41no—
685C2×C4—42no—
686C2×C4—44no—
687C2×C4—41no—
688C2×C4—48no—
689C2×C4—48no—
690C2×C4—48no—
691C2×C4—44no—
692C2×C42−1+414yes—
693C2×C4C2514yes—
694C2×C4C2511yescharacteristic
695C2×C4C2514yes—
696C2×C4C2511yescharacteristic
697C2×C4C2514yes—
698C2×C4C2512yes—
699C2×C4C2512yes—
700C2×C4C2514yes—
701C2×C4C2512yes—
702C2×C4C2514yes—
703C2×C4C2514yes—
704C2×C4C2514yes—
705C2×C4C2514yes—
706C2×C4C2511yescharacteristic
707C2×C4C2514yes—
708C2×C4C2514yes—
709C2×C4C2511yescharacteristic
710C2×C4C2511yescharacteristic
711C2×C4C2511yescharacteristic
712C22—21no—
713C22—21no—
714C22—22no—
715C22—24no—
716C22—24no—
717C22—24no—
718C22—24no—
719C22—22no—
720C22—22no—
721C22—24no—
722C22—24no—
723C22—82no—
724C22—84no—
725C22C2×2−1+412yes—
726C22C2611yescharacteristic
727C4—22no—
728C4—24no—
729C4—24no—
730C4—21no—
731C4—21no—
732C4—24no—
733C4—24no—
734C4—24no—
735C4—24no—
736C4—24no—
737C4—22no—
738C4—24no—
739C4—24no—
740C4—22no—
741C4—24no—
742C4—21no—
743C4—21no—
744C4C2×2−1+412yes—
745C4C2×2−1+412yes—
746C2—22no—
747C2—44no—
748C2—42no—
749C2—44no—
750C2C22×2−1+411yescharacteristic
751C2H(7,𝔽2)11yescharacteristic
752C22−1+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. #3565C2semidirect
2. #3565C2semidirect
3. #3564C2semidirect
4. #3561C2semidirect
5. #3557C2semidirect
6. #3555C2semidirect
7. #3554C2semidirect
8. #3552C2semidirect
9. #3550C2semidirect
10. #3544C2semidirect
11. #3538C2semidirect
12. #3535C2semidirect
13. #3510C2semidirect
14. #3507C2semidirect
15. #3506C2semidirect
16. #3503C2semidirect
17. #3502C2semidirect
18. #3501C2semidirect
19. #3495C2semidirect
20. #3494C2semidirect
21. #3458C2semidirect
22. #3455C2semidirect
23. C2×#542C2semidirect
24. #563C22semidirect
25. #563C22semidirect
26. #563C22semidirect
27. #563C22semidirect
28. #563C22semidirect
29. #563C22semidirect
30. #562C22semidirect
31. #562C22semidirect
32. #559C22semidirect
33. #559C22semidirect
34. #559C22semidirect
35. #559C22semidirect
36. Q82C22semidirect
37. Q82C22semidirect
38. Q82C22semidirect
39. #557C22semidirect
40. #557C22semidirect
41. #557C22semidirect
42. #557C22semidirect
43. #557C22semidirect
44. #557C22semidirect
45. #556C22semidirect
46. #556C22semidirect
47. #556C22semidirect
48. #556C22semidirect
49. #556C22semidirect
50. #556C22semidirect
51. #556C22semidirect
52. #556C22semidirect
54. #555C22semidirect
56. #554C22semidirect
57. #554C22semidirect
58. #554C22semidirect
59. #554C22semidirect
60. #554C22semidirect
61. #554C22semidirect
62. #554C22semidirect
65. #553C22semidirect
67. #552C22semidirect
68. #552C22semidirect
69. #552C22semidirect
70. #552C22semidirect
71. #552C22semidirect
72. #552C22semidirect
77. #550C22semidirect
79. D4×Q8C22semidirect
80. D4×Q8C22semidirect
81. D4×Q8C22semidirect
82. D4×Q8C22semidirect
83. #548C22semidirect
85. #547C22semidirect
86. #547C22semidirect
93. #544C22semidirect
94. #544C22semidirect
95. #544C22semidirect
96. #544C22semidirect
97. #544C22semidirect
98. #544C22semidirect
99. #544C22semidirect
108. #542C22semidirect
109. #542C22semidirect
110. #542C22semidirect
111. #542C22semidirect
112. #542C22semidirect
113. #542C22semidirect
114. #542C22semidirect
115. #542C22semidirect
116. #542C22semidirect
117. #542C22semidirect
118. #541C22semidirect
119. #541C22semidirect
120. #541C22semidirect
121. #541C22semidirect
122. #541C22semidirect
124. #540C22semidirect
128. #539C22semidirect
129. #539C22semidirect
130. #539C22semidirect
131. #539C22semidirect
136. #536C22semidirect
137. #536C22semidirect
138. #536C22semidirect
145. #533C22semidirect
146. #533C22semidirect
147. #533C22semidirect
148. #533C22semidirect
152. C2×C4⋊Q8C22semidirect
155. #529C22semidirect
156. #529C22semidirect
157. #529C22semidirect
158. #529C22semidirect
159. #529C22semidirect

Maximal subgroups

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

subgroupindex
#35652
#35642
#35612
#35572
#35552
#35542
#35522
#35502
#35442
#35382
#35352
#35102
#35072
#35062
#35032
#35022
#35012
#34952
#34942
#34582
#34552
C2×#5422