Finite Group Databasebeta

← #10586087

Subgroups — #10586087

Order 512.

33697 conjugacy classes of subgroups.

The subgroup lattice has 773 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#63007C218yesmaximal, complemented
2#63007C2116yesmaximal, complemented
3#63006C218yesmaximal, complemented
4#63005C2116yesmaximal, complemented
5#62999C218yesmaximal, complemented
6#62998C218yesmaximal, complemented
7#62856C2112yesmaximal, complemented
8#62851C218yesmaximal, complemented
9#62850C218yesmaximal, complemented
10#62848C212yesmaximal, complemented
11#62815C2112yesmaximal, complemented
12#62793C218yesmaximal, complemented
13#62788C218yesmaximal, complemented
14C2×#3502C211yesmaximal, characteristic, complemented
15C2×#3497C211yesmaximal, characteristic, complemented
16#62653C212yesmaximal, complemented
17C2×C4×2−1+4C211yesmaximal, characteristic, complemented
18C22×2−1+4C2212yes—
19C22×2−1+4C2211yescharacteristic
20#3524C22164yescomplemented
21#3524C22164yescomplemented
22#3524C22164yescomplemented
23#3523C22132yescomplemented
24#3523C22164yescomplemented
25#3522C22164yescomplemented
26#3522C22132yescomplemented
27#3518C22132yescomplemented
28#3518C22164yescomplemented
29#3517C22132yescomplemented
30#3517C22164yescomplemented
31#3516C22164yescomplemented
32#3516C22164yescomplemented
33#3516C22164yescomplemented
34#3512C22148yescomplemented
35#3512C22196yescomplemented
36#3511C22124yescomplemented
37#3511C22196yescomplemented
38#3511C22124yescomplemented
39#3510C22148yescomplemented
40#3509C22124yescomplemented
41#3508C22124yescomplemented
42#3507C22124yescomplemented
43#3507C22124yescomplemented
44#3506C22124yescomplemented
45#3506C22124yescomplemented
46#3505C22116yes—
47#3505C22148yes—
48#3502C2218yescomplemented
49#3502C2218yescomplemented
50#3502C2218yescomplemented
51#3502C2218yescomplemented
52#3497C2218yes—
53#3497C2218yes—
54#3497C2218yescomplemented
55#3497C22116yescomplemented
56#3497C2218yescomplemented
57#3497C22116yescomplemented
58#3495C22196yescomplemented
59#3494C22196yescomplemented
60#3493C22148yescomplemented
61#3492C22148yescomplemented
62#3487C22116yes—
63#3487C22116yescomplemented
64#3486C22116yes—
65#3486C22116yescomplemented
66#3483C22132yescomplemented
67#3482C22132yescomplemented
68#3482C22164yescomplemented
69#3480C22148yescomplemented
70#3480C22164yescomplemented
71#3480C22132yescomplemented
72#3480C22148yescomplemented
73Q8×#41C22132yescomplemented
74C2×Q82C2214yescomplemented
75C2×#557C2218yescomplemented
76C2×#557C2214yescomplemented
77#3475C22148yescomplemented
78#3475C22148yescomplemented
79C2×#550C2214yescomplemented
80C2×D4×Q8C2214yescomplemented
81C2×#548C2218yescomplemented
82#3461C22148yescomplemented
83#3460C22148yescomplemented
84C2×#544C2216yes—
85#3455C22148yescomplemented
86#3449C22124yes—
87C2×#537C2216yes—
88#3444C22148yescomplemented
89C2×#533C2216yes—
90C2×#532C2216yes—
91C4×2−1+4C2218yes—
92C4×2−1+4C2218yes—
93C4×2−1+4C2218yescomplemented
94C4×2−1+4C22116yescomplemented
95C4×2−1+4C2218yescomplemented
96C4×2−1+4C22116yescomplemented
97C4×2−1+4C22116yescomplemented
98C4×2−1+4C22116yescomplemented
99#3428C22124yes—
100#3428C22116yescomplemented
101C2×#520C2216yes—
102C2×#520C2214yescomplemented
103C2×#519C2212yes—
104C2×#519C2211yescharacteristic
105C2×#519C22116yescomplemented
106C2×#519C2214yescomplemented
107C2×C4×#41C2216yes—
108C2×C4×#41C2214yescomplemented
109C22×C4×Q8C2211yescharacteristic
110C22×C4×Q8C2214yescomplemented
111C2×2−1+4—232no—
112C2×2−1+4—216no—
113C2×2−1+4C2318yes—
114C2×2−1+4C23116yes—
115C2×2−1+4C23116yes—
116C2×2−1+4C2318yes—
117C22×#41C2316yes—
118C22×#41C2314yes—
119C22×#41C23112yes—
120C22×#41C2318yes—
121C23×Q8C2314yes—
122C23×Q8C2318yes—
123C23×Q8C2311yescharacteristic
124#559C23196yes—
125#559C23148yes—
126#559C23196yes—
127#559C23148yes—
128Q82C23132yes—
129Q82C23132yes—
130#557C23164yes—
131#557C23132yes—
132#557C23132yes—
133#557C23164yes—
134#557C23148yes—
135#557C23148yes—
136#556C23148yes—
137#556C23148yes—
138#556C23148yes—
139#556C23196yes—
140#556C231192yes—
141#556C23148yes—
142#556C23196yes—
143#555C23148yes—
144#555C23148yes—
145#555C231192yes—
146#554C23148yes—
147#554C23148yes—
148#554C231192yes—
149#553C23196yes—
150#553C23196yes—
151#553C23132yes—
152#553C23164yes—
153#553C231192yes—
154#553C231192yes—
155#553C231192yes—
156#553C23196yes—
157#552C23132yes—
158#552C23196yes—
159#552C23196yes—
160#552C23196yes—
161#552C231192yes—
162#552C231192yes—
163#551C23164yes—
164#551C231192yes—
165#550C23132yes—
166#550C23132yes—
167#550C23148yes—
168#550C23164yes—
169#550C23148yes—
170#550C23164yes—
171D4×Q8C23132yes—
172D4×Q8C23132yes—
173D4×Q8C23164yes—
174D4×Q8C23164yes—
175#548C23164yes—
176#548C23164yes—
177#548C23132yes—
178#548C23164yes—
179#548C23164yes—
180#548C23196yes—
181#548C23164yes—
182#548C23164yes—
183#547C23148yes—
184#547C23148yes—
185#547C231192yes—
186#546C23132yes—
187#546C23196yes—
188#544C23148yes—
189#544C23148yes—
190#542C23196yes—
191#542C23196yes—
192#542C231192yes—
193#542C231192yes—
194#541C23196yes—
195#541C231192yes—
196#540C23196yes—
197#540C231192yes—
198#539C23132yes—
199#539C23196yes—
200#538C23132yes—
201#538C23196yes—
202#537C23148yes—
203#537C23148yes—
204#537C23148yes—
205#537C23148yes—
206#536C23148yes—
207#536C23148yes—
208#535C23148yes—
209#535C23148yes—
210#534C23132yes—
211#533C23124yes—
212#533C23124yes—
213#533C23124yes—
214#533C23124yes—
215#533C23148yes—
216#533C23148yes—
217#533C231192yes—
218#532C23124yes—
219#532C23124yes—
220#532C23124yes—
221#532C23124yes—
222#532C23148yes—
223#532C23148yes—
224#532C23196yes—
225#532C231192yes—
226C2×C4⋊Q8C2316yes—
227C2×C4⋊Q8C2316yes—
228C2×C4⋊Q8C2316yes—
229C2×C4⋊Q8C23124yes—
230C2×#127C2316yes—
231#529C23132yes—
232#529C23196yes—
233#529C23196yes—
234#529C23196yes—
235#529C23196yes—
236#529C23196yes—
237#529C231192yes—
238#529C231192yes—
239#529C231192yes—
240#529C231192yes—
241C2×#125C23112yes—
242C2×#125C23124yes—
243C2×#124C23112yes—
244#525C23132yes—
245#525C23196yes—
246#525C23196yes—
247#525C23196yes—
248C2×C22⋊Q8C2314yes—
249C2×C22⋊Q8C23112yes—
250C2×C22⋊Q8C23124yes—
251C2×#121C2314yes—
252C2×#121C23112yes—
253C2×#121C23124yes—
254#520C23148yes—
255#520C23148yes—
256#520C23132yes—
257#520C23132yes—
258#520C23148yes—
259#520C23148yes—
260#520C23148yes—
261#520C23148yes—
262#520C23164yes—
263#520C23164yes—
264#519C2318yes—
265#519C23116yes—
266#519C2318yes—
267#519C23116yes—
268#519C23148yes—
269#519C23132yes—
270#519C23132yes—
271#519C23164yes—
272#519C23164yes—
273#518C23132yes—
274#518C23148yes—
275C4×#41C23124yes—
276C4×#41C23124yes—
277C4×#41C23124yes—
278C4×#41C23124yes—
279C4×#41C23132yes—
280C4×#41C23132yes—
281C4×#41C23196yes—
282C4×#41C23196yes—
283C4×#41C23164yes—
284C4×#41C23164yes—
285C4×#41C23196yes—
286C4×#41C23196yes—
287C2×C4×Q8C2314yes—
288C2×C4×Q8C2314yes—
289C2×C4×Q8C2314yes—
290C2×C4×Q8C2314yes—
291C2×C4×Q8C2314yes—
292C2×C4×Q8C2314yes—
293C2×C4×Q8C2316yes—
294C2×C4×Q8C2314yes—
295C2×C4×Q8C23112yes—
296C2×C4×Q8C23132yes—
297C2×C4×Q8C23132yes—
298C2×C4×Q8C2316yes—
299C2×C4×Q8C2314yes—
300C2×C4×Q8C2318yes—
301C2×C4×Q8C2318yes—
302C2×C4×Q8C23164yes—
303C2×C4×Q8C23164yes—
304C2×C4×Q8C23112yes—
305C2×C4×Q8C23112yes—
306C2×C4×D4C2314yes—
307C2×C4×D4C2316yes—
308C2×C4×D4C23112yes—
309C2×C4×D4C2316yes—
310C2×C4×D4C23112yes—
311C2×C4×D4C23112yes—
312C2×C4×D4C23112yes—
313C2×#117C2316yes—
314C2×#117C23112yes—
315C2×#117C23112yes—
316C2×#117C23112yes—
317C2×#117C23196yes—
318C22×C4⋊C4C2313yes—
319C22×C4⋊C4C23112yes—
320C22×C42C2313yes—
321C22×C42C23112yes—
3222−1+4—264no—
3232−1+4—2128no—
3242−1+4—2128no—
3252−1+4—264no—
326C2×#41—264no—
327C2×#41—232no—
328C2×#41—248no—
329C2×#41—296no—
330C2×#41C24124yes—
331C2×#41C24148yes—
332C2×#41C24124yes—
333C2×#41C24148yes—
334C2×#41C24132yes—
335C2×#41C24164yes—
336C2×#41C24132yes—
337C2×#41C24196yes—
338C22×Q8—264no—
339C22×Q8—232no—
340C22×Q8#41116yescomplemented
341C22×Q8C2416yes—
342C22×Q8C24132yes—
343C22×Q8C24164yes—
344C22×Q8C24112yes—
345C22×Q8C2414yes—
346C22×Q8C24112yes—
347C22×Q8C2414yes—
348C22×Q8C2414yes—
349C22×Q8C2414yes—
350C22×D4C2414yes—
351C22×D4C2416yes—
352C22×D4C2418yes—
353C22×D4C24112yes—
354C22×D4C2414yes—
355C22×D4C24112yes—
356C23×C4C24112yes—
357C23×C4C24124yes—
358C23×C4C2411yescharacteristic
359C23×C4C2414yes—
360C23×C4C2413yes—
361C23×C4C24112yes—
362C23×C4C2413yes—
363C4⋊Q8C24124yes—
364C4⋊Q8C24124yes—
365C4⋊Q8C24124yes—
366C4⋊Q8C24124yes—
367C4⋊Q8C241192yes—
368C4⋊Q8C24124yes—
369C4⋊Q8C24124yes—
370C4⋊Q8C24196yes—
371#127C24124yes—
372#127C24124yes—
373#127C24196yes—
374#126C24164yes—
375#126C24164yes—
376#126C241192yes—
377#126C241192yes—
378#126C24164yes—
379#126C241192yes—
380#125C24148yes—
381#125C241192yes—
382#125C24148yes—
383#125C24132yes—
384#125C24164yes—
385#125C24196yes—
386#125C241192yes—
387#124C24148yes—
388#124C24148yes—
389#124C24132yes—
390#124C24164yes—
391#124C24196yes—
392#124C24196yes—
393#124C24196yes—
394#124C241192yes—
395#123C24164yes—
396#123C24164yes—
397#123C24164yes—
398#123C241192yes—
399#123C241192yes—
400#123C24164yes—
401#123C24164yes—
402#123C241192yes—
403C22⋊Q8C2418yes—
404C22⋊Q8C24148yes—
405C22⋊Q8C241192yes—
406C22⋊Q8C2418yes—
407C22⋊Q8C2418yes—
408C22⋊Q8C2418yes—
409C22⋊Q8C24148yes—
410C22⋊Q8C24132yes—
411C22⋊Q8C24196yes—
412C22⋊Q8C24196yes—
413C22⋊Q8C24196yes—
414C22⋊Q8C24196yes—
415C22⋊Q8C24196yes—
416C22⋊Q8C24164yes—
417C22⋊Q8C241192yes—
418#121C2418yes—
419#121C24148yes—
420#121C241192yes—
421#121C2418yes—
422#121C2418yes—
423#121C2418yes—
424#121C24148yes—
425#121C24132yes—
426#121C24196yes—
427#121C24196yes—
428#121C24196yes—
429#121C24196yes—
430#121C24196yes—
431#121C24164yes—
432#121C241192yes—
433#121C24164yes—
434#121C24164yes—
435#120C24164yes—
436#120C24164yes—
437C4×Q8C24132yes—
438C4×Q8C24116yes—
439C4×Q8C24116yes—
440C4×Q8C24124yes—
441C4×Q8C24124yes—
442C4×Q8C24132yes—
443C4×Q8C24196yes—
444C4×Q8C24116yes—
445C4×Q8C24116yes—
446C4×Q8C24196yes—
447C4×Q8C24196yes—
448C4×Q8C24164yes—
449C4×Q8C24164yes—
450C4×Q8C24196yes—
451C4×Q8C24196yes—
452C4×Q8C24124yes—
453C4×Q8C24124yes—
454C4×Q8C24148yes—
455C4×Q8C24148yes—
456C4×Q8C24148yes—
457C4×Q8C24148yes—
458C4×Q8C24132yes—
459C4×Q8C24196yes—
460C4×D4C2418yes—
461C4×D4C24124yes—
462C4×D4C2418yes—
463C4×D4C2418yes—
464C4×D4C2418yes—
465C4×D4C24124yes—
466C4×D4C24196yes—
467C4×D4C24148yes—
468C4×D4C24124yes—
469C4×D4C24148yes—
470C4×D4C24124yes—
471C4×D4C24148yes—
472C4×D4C24148yes—
473C4×D4C24148yes—
474C4×D4C24148yes—
475C4×D4C24164yes—
476C4×D4C24164yes—
477C4×D4C24196yes—
478C4×D4C24196yes—
479C4×D4C24196yes—
480C4×D4C24164yes—
481C4×D4C24164yes—
482C4×D4C24196yes—
483C4×D4C24164yes—
484C4×D4C24132yes—
485C4×D4C241192yes—
486C4×D4C241192yes—
487C4×D4C241192yes—
488C4×D4C24196yes—
489#117C24124yes—
490#117C24148yes—
491#117C24164yes—
492#117C24124yes—
493#117C24148yes—
494#117C24148yes—
495#117C241192yes—
496#117C24148yes—
497#117C24196yes—
498#117C24196yes—
499#117C24196yes—
500#117C24132yes—
501#117C24164yes—
502#117C24196yes—
503#117C241192yes—
504C2×C4⋊C4C2416yes—
505C2×C4⋊C4C24112yes—
506C2×C4⋊C4C24112yes—
507C2×C4⋊C4C24112yes—
508C2×C4⋊C4C24112yes—
509C2×C4⋊C4C24196yes—
510C2×C4⋊C4C2416yes—
511C2×C4⋊C4C2414yes—
512C2×C4⋊C4C24112yes—
513C2×C4⋊C4C24112yes—
514C2×C4⋊C4C24196yes—
515C2×C4⋊C4C24196yes—
516C2×C4⋊C4C2414yes—
517C2×C4⋊C4C24112yes—
518C2×C4⋊C4C2418yes—
519C2×C4⋊C4C2414yes—
520C2×C4⋊C4C24112yes—
521C2×C4⋊C4C24124yes—
522C2×C22⋊C4C2414yes—
523C2×C22⋊C4C2414yes—
524C2×C22⋊C4C24112yes—
525C2×C22⋊C4C2418yes—
526C2×C22⋊C4C24164yes—
527C2×C22⋊C4C2418yes—
528C2×C22⋊C4C24124yes—
529C2×C42C24112yes—
530C2×C42C24112yes—
531C2×C42C2416yes—
532C2×C42C24124yes—
533C2×C42C241192yes—
534C2×C42C2416yes—
535C2×C42C2416yes—
536C2×C42C2414yes—
537C2×C42C2416yes—
538C2×C42C2416yes—
539C2×C42C2416yes—
540C2×C42C24148yes—
541C2×C42C24148yes—
542C24C2518yes—
543C24C2514yes—
544C24C2511yescharacteristic
545#41—2256no—
546#41—2128no—
547#41—296no—
548#41—2192no—
549#41—296no—
550#41—2192no—
551#41—464no—
552#41—896no—
553C2×Q8—2256no—
554C2×Q8—2128no—
555C2×Q8—248no—
556C2×Q8—224no—
557C2×Q8—48no—
558C2×Q8—812no—
559C2×Q8C2×#41132yes—
560C2×Q8C2×#41132yes—
561C2×Q8C2×#41132yes—
562C2×Q8C2518yes—
563C2×Q8C25124yes—
564C2×Q8C25148yes—
565C2×Q8C2518yes—
566C2×Q8C25148yes—
567C2×Q8C25116yes—
568C2×D4—216no—
569C2×D4—232no—
570C2×D4—248no—
571C2×D4—224no—
572C2×D4—48no—
573C2×D4—812no—
574C2×D4C2518yes—
575C2×D4C2518yes—
576C2×D4C25116yes—
577C2×D4C2518yes—
578C2×D4C25116yes—
579C2×D4C25124yes—
580C2×D4C25148yes—
581C2×D4C25164yes—
582C2×D4C2518yes—
583C2×D4C25164yes—
584C2×D4C25148yes—
585C22×C4—296no—
586C22×C4—248no—
587C22×C4—42no—
588C22×C4—48no—
589C22×C4—83no—
590C22×C4—812no—
591C22×C4C2×#41124yes—
592C22×C4C2511yescharacteristic
593C22×C4C2511yescharacteristic
594C22×C4C2511yescharacteristic
595C22×C4C2518yes—
596C22×C4C2514yes—
597C22×C4C25196yes—
598C22×C4C25148yes—
599C22×C4C2518yes—
600C22×C4C2511yescharacteristic
601C22×C4C2514yes—
602C22×C4C2511yescharacteristic
603C22×C4C2511yescharacteristic
604C22×C4C2518yes—
605C22×C4C2514yes—
606C22×C4C2516yes—
607C22×C4C2518yes—
608C22×C4C2518yes—
609C22×C4C25164yes—
610C22×C4C25164yes—
611C22×C4C2516yes—
612C22×C4C2516yes—
613C22×C4C25148yes—
614C22×C4C2516yes—
615C22×C4C2516yes—
616C22×C4C2516yes—
617C4⋊C4C25124yes—
618C4⋊C4C25124yes—
619C4⋊C4C25148yes—
620C4⋊C4C25148yes—
621C4⋊C4C25148yes—
622C4⋊C4C25148yes—
623C4⋊C4C25164yes—
624C4⋊C4C25164yes—
625C4⋊C4C2518yes—
626C4⋊C4C2518yes—
627C4⋊C4C2518yes—
628C4⋊C4C2518yes—
629C4⋊C4C25116yes—
630C4⋊C4C25148yes—
631C4⋊C4C25148yes—
632C4⋊C4C25196yes—
633C4⋊C4C2518yes—
634C4⋊C4C25116yes—
635C4⋊C4C2518yes—
636C4⋊C4C25164yes—
637C4⋊C4C25164yes—
638C22⋊C4C2518yes—
639C22⋊C4C25116yes—
640C22⋊C4C2518yes—
641C22⋊C4C25116yes—
642C22⋊C4C2518yes—
643C22⋊C4C25164yes—
644C22⋊C4C25148yes—
645C22⋊C4C25164yes—
646C22⋊C4C2518yes—
647C22⋊C4C25116yes—
648C22⋊C4C25196yes—
649C22⋊C4C25116yes—
650C22⋊C4C25164yes—
651C22⋊C4C25164yes—
652C22⋊C4C25164yes—
653C22⋊C4C25164yes—
654C42C25148yes—
655C42C2518yes—
656C42C25112yes—
657C42C2518yes—
658C42C25112yes—
659C42C25164yes—
660C42C25148yes—
661C42C25164yes—
662C42C25112yes—
663C42C25196yes—
664C42C25112yes—
665C23—28no—
666C23—216no—
667C23—41no—
668C23—44no—
669C23—41no—
670C23—44no—
671C23—48no—
672C23—48no—
673C23C22×#4114yes—
674C23C2618yes—
675C23C26116yes—
676C23C2611yescharacteristic
677C23C2611yescharacteristic
678C23C2611yescharacteristic
679Q8—296no—
680Q8—248no—
681Q8—216no—
682Q8—48no—
683Q8—448no—
684Q8C22×#41164yes—
685D4—216no—
686D4—232no—
687D4—216no—
688D4—232no—
689D4—248no—
690D4—296no—
691D4—216no—
692D4—48no—
693D4—448no—
694D4—464no—
695D4—464no—
696C2×C4—216no—
697C2×C4—28no—
698C2×C4—296no—
699C2×C4—2192no—
700C2×C4—22no—
701C2×C4—22no—
702C2×C4—22no—
703C2×C4—216no—
704C2×C4—44no—
705C2×C4—48no—
706C2×C4—41no—
707C2×C4—41no—
708C2×C4—41no—
709C2×C4—44no—
710C2×C4—46no—
711C2×C4—46no—
712C2×C4—46no—
713C2×C4—448no—
714C2×C4—48no—
715C2×C4—48no—
716C2×C4—464no—
717C2×C4—464no—
718C2×C4C22×#41124yes—
719C2×C4C22×#41124yes—
720C2×C4C22×#41124yes—
721C2×C4C2618yes—
722C2×C4C2611yescharacteristic
723C2×C4C2618yes—
724C2×C4C2611yescharacteristic
725C2×C4C2611yescharacteristic
726C2×C4C26116yes—
727C2×C4C26116yes—
728C2×C4C2618yes—
729C2×C4C26116yes—
730C2×C4C26112yes—
731C2×C4C26112yes—
732C2×C4C2611yescharacteristic
733C22—21no—
734C22—21no—
735C22—21no—
736C22—21no—
737C22—21no—
738C22—21no—
739C22—28no—
740C22—216no—
741C22—28no—
742C22—216no—
743C22—28no—
744C22—216no—
745C22—44no—
746C22—416no—
747C22—816no—
748C22C23×#4112yes—
749C22C23×#4112yes—
750C22C23×#4112yes—
751C22C2711yescharacteristic
752C4—216no—
753C4—28no—
754C4—21no—
755C4—28no—
756C4—21no—
757C4—21no—
758C4—216no—
759C4—28no—
760C4—212no—
761C4—216no—
762C4C23×#41124yes—
763C42−1+612yes—
764C2—22no—
765C2—22no—
766C2—22no—
767C2—48no—
768C2—416no—
769C2C24×#4111yescharacteristic
770C2C2×2−1+611yescharacteristic
771C2#6310311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC22C27
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22 ◁ G
LECSG ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #63007C2semidirect
2. #63007C2semidirect
3. #63006C2semidirect
4. #63005C2semidirect
5. #62999C2semidirect
6. #62998C2semidirect
7. #62856C2semidirect
8. #62851C2semidirect
9. #62850C2semidirect
10. #62848C2semidirect
11. #62815C2semidirect
12. #62793C2semidirect
13. #62788C2semidirect
14. C2×#3502C2semidirect
15. C2×#3497C2semidirect
16. #62653C2semidirect
17. C2×C4×2−1+4C2semidirect
20. #3524C22semidirect
21. #3524C22semidirect
22. #3524C22semidirect
23. #3523C22semidirect
24. #3523C22semidirect
25. #3522C22semidirect
26. #3522C22semidirect
27. #3518C22semidirect
28. #3518C22semidirect
29. #3517C22semidirect
30. #3517C22semidirect
31. #3516C22semidirect
32. #3516C22semidirect
33. #3516C22semidirect
34. #3512C22semidirect
35. #3512C22semidirect
36. #3511C22semidirect
37. #3511C22semidirect
38. #3511C22semidirect
39. #3510C22semidirect
40. #3509C22semidirect
41. #3508C22semidirect
42. #3507C22semidirect
43. #3507C22semidirect
44. #3506C22semidirect
45. #3506C22semidirect
48. #3502C22semidirect
49. #3502C22semidirect
50. #3502C22semidirect
51. #3502C22semidirect
54. #3497C22semidirect
55. #3497C22semidirect
56. #3497C22semidirect
57. #3497C22semidirect
58. #3495C22semidirect
59. #3494C22semidirect
60. #3493C22semidirect
61. #3492C22semidirect
63. #3487C22semidirect
65. #3486C22semidirect
66. #3483C22semidirect
67. #3482C22semidirect
68. #3482C22semidirect
69. #3480C22semidirect
70. #3480C22semidirect
71. #3480C22semidirect
72. #3480C22semidirect
73. Q8×#41C22semidirect
74. C2×Q82C22semidirect
75. C2×#557C22semidirect
76. C2×#557C22semidirect
77. #3475C22semidirect
78. #3475C22semidirect
79. C2×#550C22semidirect
80. C2×D4×Q8C22semidirect
81. C2×#548C22semidirect
82. #3461C22semidirect
83. #3460C22semidirect
85. #3455C22semidirect
88. #3444C22semidirect
93. C4×2−1+4C22semidirect
94. C4×2−1+4C22semidirect
95. C4×2−1+4C22semidirect
96. C4×2−1+4C22semidirect
97. C4×2−1+4C22semidirect
98. C4×2−1+4C22semidirect
100. #3428C22semidirect
102. C2×#520C22semidirect
105. C2×#519C22semidirect
106. C2×#519C22semidirect
108. C2×C4×#41C22semidirect
110. C22×C4×Q8C22semidirect
340. C22×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#630072
#630062
#630052
#629992
#629982
#628562
#628512
#628502
#628482
#628152
#627932
#627882
C2×#35022
C2×#34972
#626532
C2×C4×2−1+42