Finite Group Databasebeta

← #10582312

Subgroups — #10582312

Order 512.

5861 conjugacy classes of subgroups.

The subgroup lattice has 1654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62837C211yesmaximal, characteristic, complemented
2#62752C211yesmaximal, characteristic
3#62406C214yesmaximal, complemented
4#62350C214yesmaximal, complemented
5#62281C214yesmaximal, complemented
6#62271C214yesmaximal, complemented
7#62204C214yesmaximal, complemented
8#62168C214yesmaximal, complemented
9#62130C214yesmaximal, complemented
10#62113C212yesmaximal, complemented
11#62097C212yesmaximal, complemented
12#62056C214yesmaximal, complemented
13#62020C214yesmaximal, complemented
14#61984C214yesmaximal, complemented
15#61960C212yesmaximal, complemented
16#61952C212yesmaximal, complemented
17#60995C214yesmaximal, complemented
18#60971C211yesmaximal, characteristic, complemented
19#60950C211yesmaximal, characteristic, complemented
20#60925C214yesmaximal, complemented
21C2×#3249C211yesmaximal, characteristic, complemented
22C2×#3248C211yesmaximal, characteristic, complemented
23#60265C211yesmaximal, characteristic, complemented
24#3565—22no—
25#3564—22no—
26#3563—21no—
27#3563—22no—
28#3563—22no—
29#3563C2212yes—
30#3561C2212yes—
31#3559—21no—
32#3556C2212yescomplemented
33#3555—22no—
34#3555—22no—
35#3555C2212yes—
36#3552C2212yes—
37#3550C2212yescomplemented
38#3547C2212yes—
39#3544C2212yes—
40#3538C2212yes—
41#3538C2214yes—
42#3536C2212yes—
43#3535—22no—
44#3531—22no—
45#3523C2214yes—
46#3523C2214yescomplemented
47#3509C2212yes—
48#3509C2212yescomplemented
49#3509C2214yescomplemented
50#3507—21no—
51#3507—21no—
52#3503C2212yes—
53#3503C2212yescomplemented
54#3502—21no—
55#3502—21no—
56#3495—22no—
57#3495—22no—
58#3482C2214yes—
59Q8×#41C2212yes—
60#3475—22no—
61#3475C2212yes—
62#3461—22no—
63#3461C2214yes—
64#3458—21no—
65#3455—21no—
66#3444C2211yescharacteristic
67C2×#533C2211yescharacteristic
68C2×#533C2211yescharacteristic
69C2×#533C2211yescharacteristic
70C2×#529C2211yescharacteristic
71#3398C2214yescomplemented
72#3398C2218yescomplemented
73#3395C2214yescomplemented
74#3390C2218yescomplemented
75#3387C2214yescomplemented
76#3381C2214yescomplemented
77#3377C2218yescomplemented
78#3374C2218yescomplemented
79#3374C2214yescomplemented
80#3372C2214yescomplemented
81#3364C2214yescomplemented
82#3363C2214yescomplemented
83#3356C2214yescomplemented
84#3349C2218yescomplemented
85#3344C2218yes—
86#3343C2218yes—
87#3340C2214yescomplemented
88#3336C2218yes—
89#3336C2218yescomplemented
90#3329C2214yescomplemented
91#3328C2214yescomplemented
92#3313C2218yescomplemented
93#3312C2218yes—
94#3312C2218yes—
95#3312C2218yescomplemented
96#3312C2218yescomplemented
97#3312C2218yescomplemented
98#3302C2214yescomplemented
99#3300C2218yes—
100#3299C2218yes—
101#3299C2214yescomplemented
102#3298C2218yes—
103#3296C2218yes—
104D4×Q16C2218yes—
105D4×Q16C2214yescomplemented
106D4×Q16C2218yescomplemented
107#3276C2214yescomplemented
108#3270C2218yes—
109#3270C2218yescomplemented
110#3266C2218yes—
111#3261C2218yescomplemented
112#3261C2218yescomplemented
113#3258C2218yes—
114#3258C2218yescomplemented
115#3255C2214yescomplemented
116#3255C2212yescomplemented
117#3255C2212yescomplemented
118#3252C2212yes—
119#3252C2212yes—
120#3252C2214yescomplemented
121#3249C2212yes—
122#3249C2212yes—
123#3249C2214yes—
124#3249C2214yescomplemented
125#3249C2214yescomplemented
126#3249C2214yescomplemented
127#3248C2214yes—
128#3248C2214yes—
129#3248C2214yes—
130#3248C2214yes—
131#3248C2214yescomplemented
132#3242C2218yescomplemented
133#3238C2212yes—
134#3237C2214yescomplemented
135#3236C2212yes—
136#3233C2214yescomplemented
137#3229C2212yes—
138#3229C2212yescomplemented
139#3223C2218yescomplemented
140#3218C2212yes—
141#3218C2214yescomplemented
142#3215C2212yes—
143#3209C2212yes—
144#3209C2214yescomplemented
145#3209C2212yescomplemented
146#3202C2218yescomplemented
147#3201C2218yes—
148#3195C2212yes—
149#3195C2214yes—
150#3193C2212yes—
151#3185C2214yescomplemented
152#3178C2218yes—
153#3177C2218yescomplemented
154#3172C2214yes—
155#3127C2218yescomplemented
156#3121C2218yescomplemented
157#3116C2214yescomplemented
158#3113C2214yes—
159#3113C2214yescomplemented
160#3113C2214yescomplemented
161#3108C2214yes—
162#3107C2214yescomplemented
163#3104C2212yes—
164#3104C2214yescomplemented
165#3101C2212yes—
166#3082C2218yescomplemented
167#3078C2214yescomplemented
168#3076C2214yescomplemented
169C2×#479C2212yes—
170C2×#477C2212yescomplemented
171C2×#477C2212yescomplemented
172C2×#475C2211yescharacteristic
173C2×#474C2211yescharacteristic
174#3063C2218yes—
175#3059C2218yescomplemented
176C2×#467C2212yes—
177C2×#467C2214yes—
178C2×#465C2212yes—
179#3044C2218yescomplemented
180#3039C2214yescomplemented
181C2×#464C2212yes—
182C2×#462C2211yescharacteristic
183C2×#462C2214yescomplemented
184C2×#462C2212yescomplemented
185C2×#462C2212yescomplemented
186C2×#461C2211yescharacteristic
187#2994C2214yescomplemented
188#2992C2214yes—
189#2990C2214yescomplemented
190#2989C2212yes—
191#2988C2212yes—
192#2962C2212yescomplemented
193#2935C2212yescomplemented
194#2929C2214yes—
195#2925C2212yescomplemented
196#2920C2211yescharacteristic
197#2906C2212yescomplemented
198C22×C4⋊C8C2211yescharacteristic
199C2×#137C2318yes—
200C22×Q16C2314yes—
201C22×Q16C2318yes—
202C22×Q16C2312yes—
203C22×SD16C2312yes—
204C2×#131C2314yes—
205C23×C8C2312yes—
206#564—22no—
207#564—24no—
208#563—24no—
209#563—24no—
210#563—22no—
211#563—22no—
212#563—24no—
213#563—24no—
214#563—28no—
215#563—24no—
216#562—22no—
217#562—24no—
218#562—24no—
219#559—22no—
220Q82—22no—
221Q82—22no—
222Q82—22no—
223Q82C2312yes—
224#557—22no—
225#557—22no—
226#557—24no—
227#557—24no—
228#557—22no—
229#557—22no—
230#557—22no—
231#557—24no—
232#557—24no—
233#557C2314yes—
234#557C2312yes—
235#557C2314yes—
236#557C2314yes—
237#557C2314yes—
238#557C2314yes—
239#556—24no—
240#556—24no—
241#556—22no—
242#556—24no—
243#556—24no—
244#556—22no—
245#556—22no—
246#556—24no—
247#556C2312yes—
248#556C2314yes—
249#556C2314yes—
250#556C2314yes—
251#555—22no—
252#555C2312yes—
253#554—22no—
254#554—24no—
255#554—22no—
256#554—24no—
257#554—24no—
258#554—22no—
259#554—22no—
260#554C2312yes—
261#554C2314yes—
262#554C2312yes—
263#553—22no—
264#553—22no—
265#553—22no—
266#552—24no—
267#552—28no—
268#552—28no—
269#552—22no—
270#552—22no—
271#552—22no—
272#552—24no—
273#552—24no—
274#552—24no—
275#552—24no—
276#552—24no—
277#552—24no—
278#552—24no—
279#552—24no—
280#552C2314yes—
281#552C2318yes—
282#552C2314yes—
283#552C2318yes—
284#552C2314yes—
285#551—24no—
286#551—24no—
287#551—28no—
288#551—24no—
289D4×Q8C2312yes—
290D4×Q8C2314yes—
291D4×Q8C2314yes—
292D4×Q8C2314yes—
293D4×Q8C2318yes—
294D4×Q8C2314yes—
295D4×Q8C2318yes—
296#548C2314yes—
297#548C2314yes—
298#547—24no—
299#547—22no—
300#547C2312yes—
301#547C2314yes—
302#546—24no—
303#546C2314yes—
304#544—22no—
305#544—22no—
306#544—22no—
307#544—22no—
308#544—22no—
309#544—22no—
310#544—22no—
311#544—24no—
312#544—24no—
313#544—22no—
314#544—22no—
315#544—24no—
316#544—24no—
317#544C2314yes—
318#543—22no—
319#543—22no—
320#542—24no—
321#542—22no—
322#542—22no—
323#542—24no—
324#542—24no—
325#542—24no—
326#542—24no—
327#542C2314yes—
328#542C2314yes—
329#541—22no—
330#541—24no—
331#541—28no—
332#541—28no—
333#541—24no—
334#541—24no—
335#541—24no—
336#541—24no—
337#541—24no—
338#541—24no—
339#541C2314yes—
340#541C2314yes—
341#541C2318yes—
342#541C2318yes—
343#540—22no—
344#539—24no—
345#539—22no—
346#539—22no—
347#539—22no—
348#539—22no—
349#539—24no—
350#539—24no—
351#539—24no—
352#539—24no—
353#538—22no—
354#538—22no—
355#537—22no—
356#537C2314yes—
357#536—22no—
358#536—22no—
359#536—24no—
360#536C2314yes—
361#536C2318yes—
362#536C2314yes—
363#533—24no—
364#533—24no—
365#533—24no—
366#533—24no—
367#533—22no—
368#533—24no—
369#533—21no—
370#533—21no—
371#533—21no—
372#533—21no—
373#533—21no—
374#533—21no—
375#533—21no—
376#533—21no—
377#533—21no—
378#533—21no—
379#533—21no—
380#533—21no—
381#533D411yescharacteristic
382#533D411yescharacteristic
383#533C2312yes—
384#533C2314yes—
385#533C2314yes—
386#533C2312yes—
387#533C2312yes—
388#533C2312yes—
389#533C2312yes—
390#533C2312yes—
391#533C2312yes—
392#533C2312yes—
393#533C2312yes—
394#533C2312yes—
395#533C2312yes—
396#533C2312yes—
397#533C2314yes—
398#533C2314yes—
399#533C2311yescharacteristic
400#532D411yescharacteristic
401#532D411yescharacteristic
402#532C2311yescharacteristic
403C2×C4⋊Q8C2311yescharacteristic
404C2×C4⋊Q8C2311yescharacteristic
405C2×C4⋊Q8C2311yescharacteristic
406C2×C4⋊Q8C2314yes—
407C2×C4⋊Q8C2311yescharacteristic
408C2×C4⋊Q8C2311yescharacteristic
409C2×C4⋊Q8C2311yescharacteristic
410#529—24no—
411#529—24no—
412#529—24no—
413#529—24no—
414#529—24no—
415#529—24no—
416#529—24no—
417#529—24no—
418#529—21no—
419#529—21no—
420#529—21no—
421#529—21no—
422#529D412yes—
423#529D412yes—
424#529D412yes—
425#529D412yes—
426#529C2312yes—
427#529C2312yes—
428#529C2312yes—
429#529C2312yes—
430#529C2314yes—
431#529C2312yes—
432#529C2312yes—
433C2×#126—21no—
434C2×#125—21no—
435C2×#125—21no—
436C2×#125—21no—
437C2×#125C2311yescharacteristic
438C2×#124C2311yescharacteristic
439#525—22no—
440#525D412yes—
441#525D412yes—
442#525C2312yes—
443C2×#123—21no—
444C2×C22⋊Q8—21no—
445C2×C22⋊Q8—21no—
446C2×C22⋊Q8—21no—
447C2×C22⋊Q8C2311yescharacteristic
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2312yes—
451C2×#121C2311yescharacteristic
452#520—22no—
453#520—22no—
454#519—22no—
455#519—22no—
456#519C2318yes—
457C4×#41—22no—
458C4×#41—24no—
459C4×#41C2314yes—
460C4×#41C2312yes—
461C4×#41C2312yes—
462C4×#41C2312yes—
463C2×C4×Q8—21no—
464C2×C4×Q8—21no—
465C2×C4×Q8—21no—
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2312yes—
468C2×C4×Q8C2312yes—
469C2×C4×Q8C2312yes—
470C2×C4×Q8C2314yes—
471C2×C4×D4—21no—
472C2×C4×D4C2311yescharacteristic
473C2×#117—21no—
474C2×#117—21no—
475C2×#117—21no—
476C2×#117—22no—
477C2×#117—21no—
478C22×C42C2311yescharacteristic
479#501C2318yes—
480#501C2314yes—
481#499C2318yes—
482#498C2314yes—
483#497C2314yes—
484#497C2318yes—
485#494C2318yes—
486#494C2314yes—
487#491C2318yes—
488#491C2314yes—
489#491C2318yes—
490#489C2314yes—
491#488C2318yes—
492#487C2314yes—
493#487C2314yes—
494#487C2318yes—
495#485C2318yes—
496#485C2318yes—
497#485C2318yes—
498#485C2318yes—
499#485C2318yes—
500#484C2318yes—
501#484C2314yes—
502#483C2314yes—
503#483C2318yes—
504#483C2314yes—
505#483C2318yes—
506#483C2318yes—
507#482C2318yes—
508#480C2314yes—
509#479C2318yes—
510#479C2318yes—
511#479C2318yes—
512#479C2318yes—
513#479C2318yes—
514#479C2318yes—
515#479C2318yes—
516#479C2314yes—
517#479C2314yes—
518#478C2318yes—
519#477C2314yes—
520#477C2314yes—
521#477C2314yes—
522#477C2318yes—
523#477C2314yes—
524#477C2318yes—
525#477C2312yes—
526#477C2318yes—
527#477C2312yes—
528#476C2312yes—
529#476C2312yes—
530#475C2314yes—
531#475C2314yes—
532#475C2314yes—
533#475C2314yes—
534#475C2318yes—
535#475C2314yes—
536#475C2314yes—
537#474C2314yes—
538#474C2314yes—
539#470C2318yes—
540#470C2318yes—
541#470C2318yes—
542#470C2314yes—
543#470C2314yes—
544#470C2318yes—
545#470C2318yes—
546#468C2318yes—
547#468C2314yes—
548#468C2314yes—
549#467C2318yes—
550#467C2318yes—
551#467C2318yes—
552#467C2318yes—
553#467C2318yes—
554#467C2318yes—
555#467C2318yes—
556#467C2318yes—
557#467C2318yes—
558#465C2318yes—
559#465C2318yes—
560#465C2318yes—
561#464C2314yes—
562#464C2314yes—
563#464C2318yes—
564#464C2318yes—
565#464C2318yes—
566#464C2318yes—
567#462C2314yes—
568#462C2312yes—
569#462C2312yes—
570#462C2314yes—
571#462C2314yes—
572#462C2314yes—
573#462C2314yes—
574#462C2318yes—
575#462C2314yes—
576#462C2314yes—
577#462C2314yes—
578#462C2314yes—
579#462C2314yes—
580#462C2318yes—
581#462C2318yes—
582#462C2318yes—
583#462C2318yes—
584#462C2318yes—
585#462C2318yes—
586#461C2314yes—
587#461C2312yes—
588#461C2312yes—
589#461C2314yes—
590#461C2318yes—
591#452C2318yes—
592#452C2318yes—
593#451C2318yes—
594#451C2314yes—
595#451C2318yes—
596#451C2314yes—
597#451C2318yes—
598#451C2318yes—
599#451C2318yes—
600#451C2318yes—
601#451C2318yes—
602#450C2314yes—
603#448C2318yes—
604#448C2314yes—
605#446C2314yes—
606#446C2318yes—
607C8×Q8C2314yes—
608#441C2318yes—
609#441C2318yes—
610#441C2318yes—
611#441C2318yes—
612#441C2318yes—
613#440C2318yes—
614C4×Q16C2314yes—
615C4×Q16C2318yes—
616C4×Q16C2318yes—
617C4×Q16C2314yes—
618C4×Q16C2318yes—
619C4×SD16C2314yes—
620C4×SD16C2314yes—
621C4×SD16C2318yes—
622#436C2314yes—
623#435C2318yes—
624#435C2318yes—
625#435C2318yes—
626C8×D4C2318yes—
627C8×D4C2318yes—
628C8×D4C2314yes—
629#433C2318yes—
630#432C2312yes—
631#432C2312yes—
632#432C2314yes—
633#431C2312yes—
634#431C2314yes—
635#431C2312yes—
636#428C2318yes—
637#427C2318yes—
638C2×#107C2314yes—
639C2×#107C2312yes—
640C2×#106C2312yes—
641#424C2318yes—
642#424C2314yes—
643#423C2314yes—
644#423C2311yescharacteristic
645#423C2311yescharacteristic
646C2×C4⋊C8C2311yescharacteristic
647C2×C4⋊C8C2312yes—
648C2×C4⋊C8C2312yes—
649C2×C4⋊C8C2312yes—
650C2×C4⋊C8C2314yes—
651C2×C4⋊C8C2312yes—
652C2×C4⋊C8C2312yes—
653C2×C4⋊C8C2311yescharacteristic
654#419C2318yes—
655#419C2318yes—
656#416C2318yes—
657C2×#103C2312yes—
658C2×#103C2314yes—
659C2×#103C2314yes—
660C2×#103C2312yes—
661C2×#103C2312yes—
662C2×#103C2318yes—
663C2×#102C2312yes—
664#408C2314yes—
665#407C2312yes—
666#405C2314yes—
667C4×M16C2312yes—
668C2×#41—24no—
669C2×#41C2×D412yes—
670C2×#41C2×D412yes—
671C2×#41C2414yes—
672C2×#41C2412yes—
673C22×Q8—21no—
674C22×Q8—21no—
675C22×Q8—21no—
676C22×Q8C2411yescharacteristic
677C22×Q8C2412yes—
678C22×Q8C2412yes—
679C22×Q8C2412yes—
680C22×Q8C2414yes—
681C22×Q8C2418yes—
682C22×D4—21no—
683C22×D4C2411yescharacteristic
684C23×C4—21no—
685C23×C4C2×D411yescharacteristic
686C23×C4C2×D411yescharacteristic
687C23×C4C2411yescharacteristic
688#137—88no—
689C2×Q16—82no—
690C2×Q16—84no—
691C2×Q16—88no—
692C2×Q16C2414yes—
693C2×Q16C2418yes—
694C2×Q16C2418yes—
695C2×Q16C2418yes—
696C2×Q16C2418yes—
697C2×Q16C2414yes—
698C2×Q16C2418yes—
699C2×SD16—82no—
700C2×SD16C2418yes—
701C2×SD16C2414yes—
702C2×SD16C2414yes—
703#131—84no—
704C2×M16C2412yes—
705C2×M16C2418yes—
706C2×M16C2412yes—
707C22×C8—82no—
708C22×C8C2414yes—
709C22×C8C2412yes—
710C22×C8C2412yes—
711C22×C8C2414yes—
712C22×C8C2418yes—
713C4⋊Q8—24no—
714C4⋊Q8—24no—
715C4⋊Q8—24no—
716C4⋊Q8—24no—
717C4⋊Q8—28no—
718C4⋊Q8—24no—
719C4⋊Q8—24no—
720C4⋊Q8—24no—
721C4⋊Q8—24no—
722C4⋊Q8—24no—
723C4⋊Q8—22no—
724C4⋊Q8—22no—
725C4⋊Q8—24no—
726C4⋊Q8—28no—
727C4⋊Q8—28no—
728C4⋊Q8—21no—
729C4⋊Q8—21no—
730C4⋊Q8—21no—
731C4⋊Q8—21no—
732C4⋊Q8—21no—
733C4⋊Q8—21no—
734C4⋊Q8—21no—
735C4⋊Q8—21no—
736C4⋊Q8—21no—
737C4⋊Q8—21no—
738C4⋊Q8—21no—
739C4⋊Q8—21no—
740C4⋊Q8—24no—
741C4⋊Q8—24no—
742C4⋊Q8C2×D411yescharacteristic
743C4⋊Q8C2×D411yescharacteristic
744C4⋊Q8C2×D411yescharacteristic
745C4⋊Q8C2412yes—
746C4⋊Q8C2412yes—
747C4⋊Q8C2412yes—
748C4⋊Q8C2412yes—
749C4⋊Q8C2412yes—
750C4⋊Q8C2412yes—
751C4⋊Q8C2418yes—
752C4⋊Q8C2414yes—
753C4⋊Q8C2412yes—
754C4⋊Q8C2412yes—
755C4⋊Q8C2412yes—
756C4⋊Q8C2412yes—
757C4⋊Q8C2412yes—
758C4⋊Q8C2412yes—
759C4⋊Q8C2414yes—
760#127C2×D411yescharacteristic
761#126—24no—
762#126—24no—
763#126—24no—
764#126—24no—
765#126—24no—
766#126—24no—
767#126—24no—
768#126—24no—
769#126—24no—
770#126—24no—
771#126—28no—
772#126—28no—
773#126—24no—
774#126—24no—
775#126—28no—
776#126—28no—
777#126—28no—
778#126—28no—
779#126—28no—
780#126—28no—
781#126—22no—
782#126—22no—
783#126—22no—
784#126—22no—
785#126—24no—
786#126C2×D414yes—
787#126C2×D414yes—
788#125—24no—
789#125—24no—
790#125—24no—
791#125—24no—
792#125—24no—
793#125—24no—
794#125—24no—
795#125—24no—
796#125—24no—
797#125—24no—
798#125—24no—
799#125—24no—
800#125—28no—
801#125—28no—
802#125—24no—
803#125—24no—
804#125—22no—
805#125—22no—
806#125—28no—
807#125—28no—
808#125—28no—
809#125—28no—
810#125—28no—
811#125—28no—
812#125—28no—
813#125—28no—
814#125—22no—
815#125—22no—
816#125—22no—
817#125—22no—
818#125—22no—
819#125—22no—
820#125—22no—
821#125—22no—
822#125—22no—
823#125—22no—
824#125—22no—
825#125—22no—
826#125—21no—
827#125—21no—
828#125—24no—
829#125—24no—
830#125—24no—
831#125C2×D412yes—
832#125C2×D412yes—
833#125C2×D412yes—
834#125C2412yes—
835#125C2412yes—
836#125C2414yes—
837#125C2418yes—
838#124—24no—
839#124—24no—
840#124—24no—
841#124—28no—
842#124—24no—
843#124—24no—
844#124—24no—
845#124—24no—
846#124—24no—
847#124—21no—
848#124—21no—
849#124C2×D412yes—
850#124C2×D412yes—
851#124C2×D412yes—
852#124C2412yes—
853#124C2412yes—
854#124C2414yes—
855#123—24no—
856#123—24no—
857#123—28no—
858#123—28no—
859#123—24no—
860#123—24no—
861#123—24no—
862#123—28no—
863#123—28no—
864#123—22no—
865#123—22no—
866#123—22no—
867#123—22no—
868#123—24no—
869#123—24no—
870#123—24no—
871#123—24no—
872#123—24no—
873#123—24no—
874#123—24no—
875#123—24no—
876#123—24no—
877#123C2×D414yes—
878#123C2×D414yes—
879#123C2×D414yes—
880C22⋊Q8—22no—
881C22⋊Q8—22no—
882C22⋊Q8—24no—
883C22⋊Q8—24no—
884C22⋊Q8—22no—
885C22⋊Q8—22no—
886C22⋊Q8—22no—
887C22⋊Q8—22no—
888C22⋊Q8—22no—
889C22⋊Q8—22no—
890C22⋊Q8—22no—
891C22⋊Q8—22no—
892C22⋊Q8—22no—
893C22⋊Q8—22no—
894C22⋊Q8—22no—
895C22⋊Q8—22no—
896C22⋊Q8—21no—
897C22⋊Q8—21no—
898C22⋊Q8—22no—
899C22⋊Q8—22no—
900C22⋊Q8—22no—
901C22⋊Q8—22no—
902C22⋊Q8—22no—
903C22⋊Q8—22no—
904C22⋊Q8—24no—
905C22⋊Q8—24no—
906C22⋊Q8—24no—
907C22⋊Q8—24no—
908C22⋊Q8—24no—
909C22⋊Q8—24no—
910C22⋊Q8—24no—
911C22⋊Q8—24no—
912C22⋊Q8—24no—
913C22⋊Q8—24no—
914C22⋊Q8—24no—
915C22⋊Q8—24no—
916C22⋊Q8—24no—
917C22⋊Q8—24no—
918C22⋊Q8—24no—
919C22⋊Q8—24no—
920C22⋊Q8—24no—
921C22⋊Q8—24no—
922C22⋊Q8—24no—
923C22⋊Q8—24no—
924C22⋊Q8—24no—
925C22⋊Q8—24no—
926C22⋊Q8—24no—
927C22⋊Q8—28no—
928C22⋊Q8—28no—
929C22⋊Q8—28no—
930C22⋊Q8—28no—
931C22⋊Q8—28no—
932C22⋊Q8—28no—
933C22⋊Q8C2×D412yes—
934C22⋊Q8C2×D412yes—
935C22⋊Q8C2×D412yes—
936C22⋊Q8C2×D412yes—
937C22⋊Q8C2×D412yes—
938C22⋊Q8C2×D412yes—
939C22⋊Q8C2412yes—
940C22⋊Q8C2412yes—
941C22⋊Q8C2414yes—
942C22⋊Q8C2414yes—
943C22⋊Q8C2414yes—
944C22⋊Q8C2414yes—
945C22⋊Q8C2414yes—
946C22⋊Q8C2414yes—
947C22⋊Q8C2414yes—
948C22⋊Q8C2418yes—
949C22⋊Q8C2418yes—
950C22⋊Q8C2414yes—
951C22⋊Q8C2414yes—
952#121—22no—
953#121—22no—
954#121—24no—
955#121—24no—
956#121—24no—
957#121—24no—
958#121—24no—
959#121—21no—
960#121—21no—
961#121—24no—
962#121C2×D412yes—
963#121C2×D412yes—
964#121C2×D412yes—
965#121C2×D412yes—
966#121C2×D412yes—
967#121C2×D412yes—
968#121C2412yes—
969#121C2412yes—
970#121C2414yes—
971#120—24no—
972#120C2×D414yes—
973C4×Q8—22no—
974C4×Q8—22no—
975C4×Q8—24no—
976C4×Q8—24no—
977C4×Q8—24no—
978C4×Q8—24no—
979C4×Q8—24no—
980C4×Q8—24no—
981C4×Q8—24no—
982C4×Q8—28no—
983C4×Q8—28no—
984C4×Q8—22no—
985C4×Q8—22no—
986C4×Q8—22no—
987C4×Q8—22no—
988C4×Q8—22no—
989C4×Q8—22no—
990C4×Q8—22no—
991C4×Q8—22no—
992C4×Q8—22no—
993C4×Q8—22no—
994C4×Q8—22no—
995C4×Q8—22no—
996C4×Q8—24no—
997C4×Q8—22no—
998C4×Q8—21no—
999C4×Q8—21no—
1000C4×Q8—22no—
1001C4×Q8—22no—
1002C4×Q8—22no—
1003C4×Q8—22no—
1004C4×Q8—22no—
1005C4×Q8—24no—
1006C4×Q8—24no—
1007C4×Q8—24no—
1008C4×Q8—24no—
1009C4×Q8—24no—
1010C4×Q8—24no—
1011C4×Q8C2×D412yes—
1012C4×Q8C2×D412yes—
1013C4×Q8C2×D412yes—
1014C4×Q8C2×D412yes—
1015C4×Q8C2412yes—
1016C4×Q8C2414yes—
1017C4×Q8C2414yes—
1018C4×Q8C2414yes—
1019C4×Q8C2412yes—
1020C4×Q8C2414yes—
1021C4×Q8C2414yes—
1022C4×Q8C2414yes—
1023C4×Q8C2414yes—
1024C4×Q8C2414yes—
1025C4×Q8C2414yes—
1026C4×Q8C2418yes—
1027C4×Q8C2418yes—
1028C4×Q8C2412yes—
1029C4×Q8C2412yes—
1030C4×D4—24no—
1031C4×D4—24no—
1032C4×D4—24no—
1033C4×D4—22no—
1034C4×D4—22no—
1035C4×D4—28no—
1036C4×D4—28no—
1037C4×D4—24no—
1038C4×D4—24no—
1039C4×D4—22no—
1040C4×D4—22no—
1041C4×D4—22no—
1042C4×D4—22no—
1043C4×D4—24no—
1044C4×D4—24no—
1045C4×D4—24no—
1046C4×D4—24no—
1047C4×D4—24no—
1048C4×D4—21no—
1049C4×D4—21no—
1050C4×D4C2×D414yes—
1051C4×D4C2×D414yes—
1052C4×D4C2×D414yes—
1053C4×D4C2×D414yes—
1054C4×D4C2×D412yes—
1055C4×D4C2×D412yes—
1056C4×D4C2×D412yes—
1057C4×D4C2×D412yes—
1058C4×D4C2412yes—
1059C4×D4C2412yes—
1060C4×D4C2414yes—
1061C4×D4C2414yes—
1062C4×D4C2414yes—
1063C4×D4C2412yes—
1064C4×D4C2412yes—
1065#117—22no—
1066#117—22no—
1067#117—22no—
1068#117—22no—
1069#117—22no—
1070#117—22no—
1071#117—22no—
1072#117—22no—
1073#117—22no—
1074#117—22no—
1075#117—22no—
1076#117—22no—
1077#117—24no—
1078#117—24no—
1079#117—24no—
1080#117—22no—
1081#117—22no—
1082#117—24no—
1083#117—24no—
1084#117—24no—
1085#117—24no—
1086#117—28no—
1087#117—28no—
1088#117—28no—
1089#117—28no—
1090#117—24no—
1091#117—22no—
1092#117—22no—
1093#117—22no—
1094#117—22no—
1095#117—24no—
1096#117C2×D412yes—
1097#117C2×D412yes—
1098#117C2×D414yes—
1099#117C2×D414yes—
1100#117C2414yes—
1101#117C2418yes—
1102#117C2414yes—
1103#117C2412yes—
1104C2×C4⋊C4—21no—
1105C2×C4⋊C4—21no—
1106C2×C4⋊C4—21no—
1107C2×C4⋊C4—21no—
1108C2×C4⋊C4—21no—
1109C2×C4⋊C4—21no—
1110C2×C4⋊C4—21no—
1111C2×C4⋊C4—21no—
1112C2×C4⋊C4—21no—
1113C2×C4⋊C4—21no—
1114C2×C4⋊C4—21no—
1115C2×C4⋊C4—21no—
1116C2×C4⋊C4—22no—
1117C2×C4⋊C4—22no—
1118C2×C4⋊C4—22no—
1119C2×C4⋊C4—22no—
1120C2×C4⋊C4—22no—
1121C2×C4⋊C4—22no—
1122C2×C4⋊C4—21no—
1123C2×C4⋊C4—24no—
1124C2×C4⋊C4—24no—
1125C2×C4⋊C4—24no—
1126C2×C4⋊C4—22no—
1127C2×C4⋊C4—22no—
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
1134C2×C22⋊C4—22no—
1135C2×C22⋊C4—22no—
1136C2×C22⋊C4—22no—
1137C2×C22⋊C4—21no—
1138C2×C22⋊C4—21no—
1139C2×C22⋊C4—21no—
1140C2×C22⋊C4—21no—
1141C2×C22⋊C4—21no—
1142C2×C22⋊C4—24no—
1143C2×C42—21no—
1144C2×C42—22no—
1145C2×C42—22no—
1146C2×C42—22no—
1147C2×C42—24no—
1148C2×C42—24no—
1149C2×C42C2×D411yescharacteristic
1150C2×C42C2×D411yescharacteristic
1151C2×C42C2×D411yescharacteristic
1152C2×C42C2×D411yescharacteristic
1153C2×C42C2×D411yescharacteristic
1154C2×C42C2×D411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2414yes—
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162#107C2418yes—
1163#107C2418yes—
1164#107C2418yes—
1165#107C2414yes—
1166#107C2414yes—
1167#106C2418yes—
1168#106C2414yes—
1169#106C2418yes—
1170#106C2418yes—
1171#106C2414yes—
1172C4⋊C8C2412yes—
1173C4⋊C8C2412yes—
1174C4⋊C8C2414yes—
1175C4⋊C8C2412yes—
1176C4⋊C8C2414yes—
1177C4⋊C8C2412yes—
1178C4⋊C8C2412yes—
1179C4⋊C8C2418yes—
1180C4⋊C8C2412yes—
1181C4⋊C8C2418yes—
1182C4⋊C8C2412yes—
1183C4⋊C8C2412yes—
1184#103C2418yes—
1185#103C2414yes—
1186#103C2418yes—
1187#103C2418yes—
1188#103C2418yes—
1189#103C2418yes—
1190#103C2418yes—
1191#103C2418yes—
1192#103C2418yes—
1193#103C2418yes—
1194#103C2414yes—
1195#103C2414yes—
1196#103C2414yes—
1197#103C2414yes—
1198#103C2418yes—
1199#103C2414yes—
1200#103C2418yes—
1201#102C2418yes—
1202#102C2414yes—
1203#102C2414yes—
1204C22⋊C8C2414yes—
1205C22⋊C8C2414yes—
1206C22⋊C8C2418yes—
1207C22⋊C8C2418yes—
1208#97C2414yes—
1209#97C2418yes—
1210C4×C8C2414yes—
1211C4×C8C2418yes—
1212C24—21no—
1213C24C22×D411yescharacteristic
1214#41—28no—
1215#41—42no—
1216#41—42no—
1217#41—44no—
1218#41—44no—
1219#41—44no—
1220#41—88no—
1221C2×Q8—22no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—22no—
1225C2×Q8—21no—
1226C2×Q8—24no—
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—22no—
1230C2×Q8—24no—
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8—28no—
1234C2×Q8—44no—
1235C2×Q8—42no—
1236C2×Q8—41no—
1237C2×Q8—42no—
1238C2×Q8—42no—
1239C2×Q8—44no—
1240C2×Q8—48no—
1241C2×Q8—41no—
1242C2×Q8—42no—
1243C2×Q8—42no—
1244C2×Q8—42no—
1245C2×Q8—48no—
1246C2×Q8—44no—
1247C2×Q8—44no—
1248C2×Q8—82no—
1249C2×Q8C22×D412yes—
1250C2×Q8C22×D412yes—
1251C2×Q8C22×D412yes—
1252C2×Q8C2512yes—
1253C2×Q8C2514yes—
1254C2×Q8C2514yes—
1255C2×Q8C2514yes—
1256C2×D4—22no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—22no—
1260C2×D4—21no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—82no—
1264C2×D4C22×D414yes—
1265C2×D4C22×D412yes—
1266C2×D4C22×D414yes—
1267C2×D4C22×D412yes—
1268C2×D4C22×D414yes—
1269C2×D4C22×D412yes—
1270C2×D4C2512yes—
1271C22×C4—24no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—21no—
1276C22×C4—21no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—21no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—28no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—42no—
1291C22×C4—44no—
1292C22×C4C22×D411yescharacteristic
1293C22×C4C22×D411yescharacteristic
1294C22×C4C22×D414yes—
1295C22×C4C22×D411yescharacteristic
1296C22×C4C22×D411yescharacteristic
1297C22×C4C22×D411yescharacteristic
1298C22×C4C22×D411yescharacteristic
1299C22×C4C22×D411yescharacteristic
1300C22×C4C22×D411yescharacteristic
1301C22×C4C22×D411yescharacteristic
1302C22×C4C22×D411yescharacteristic
1303C22×C4C22×D411yescharacteristic
1304C22×C4C22×D411yescharacteristic
1305C22×C4C22×D411yescharacteristic
1306C22×C4C22×D411yescharacteristic
1307C22×C4C22×D414yes—
1308C22×C4C22×D411yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2514yes—
1312C22×C4C2511yescharacteristic
1313Q16—48no—
1314Q16—48no—
1315Q16—44no—
1316Q16—48no—
1317Q16—48no—
1318Q16—44no—
1319Q16—48no—
1320SD16—48no—
1321SD16—44no—
1322SD16—44no—
1323M16—42no—
1324M16—42no—
1325M16—48no—
1326C2×C8—44no—
1327C2×C8—42no—
1328C2×C8—42no—
1329C2×C8—44no—
1330C2×C8—48no—
1331C2×C8C2514yes—
1332C2×C8C2514yes—
1333C2×C8C2514yes—
1334C2×C8C2514yes—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—28no—
1364C4⋊C4—28no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—21no—
1380C4⋊C4—21no—
1381C4⋊C4—24no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—28no—
1393C4⋊C4—28no—
1394C4⋊C4—28no—
1395C4⋊C4—28no—
1396C4⋊C4—28no—
1397C4⋊C4—28no—
1398C4⋊C4C22×D412yes—
1399C4⋊C4C22×D412yes—
1400C4⋊C4C22×D414yes—
1401C4⋊C4C22×D412yes—
1402C4⋊C4C22×D414yes—
1403C4⋊C4C22×D412yes—
1404C4⋊C4C22×D414yes—
1405C4⋊C4C22×D414yes—
1406C4⋊C4C22×D414yes—
1407C4⋊C4C22×D414yes—
1408C4⋊C4C22×D412yes—
1409C4⋊C4C22×D412yes—
1410C4⋊C4C2514yes—
1411C4⋊C4C2514yes—
1412C4⋊C4C2512yes—
1413C4⋊C4C2514yes—
1414C4⋊C4C2512yes—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—22no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—22no—
1423C22⋊C4—28no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—28no—
1428C22⋊C4—28no—
1429C22⋊C4—24no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4C22×D414yes—
1443C22⋊C4C22×D414yes—
1444C22⋊C4C22×D414yes—
1445C22⋊C4C22×D414yes—
1446C22⋊C4C22×D414yes—
1447C22⋊C4C22×D414yes—
1448C22⋊C4C22×D414yes—
1449C22⋊C4C22×D414yes—
1450C22⋊C4C22×D414yes—
1451C42—22no—
1452C42—24no—
1453C42—24no—
1454C42—24no—
1455C42—24no—
1456C42—24no—
1457C42—22no—
1458C42—24no—
1459C42—24no—
1460C42—24no—
1461C42—24no—
1462C42—24no—
1463C42—28no—
1464C42—28no—
1465C42—28no—
1466C42C22×D414yes—
1467C42C22×D411yescharacteristic
1468C42C22×D411yescharacteristic
1469C42C22×D411yescharacteristic
1470C42C22×D411yescharacteristic
1471C42C22×D411yescharacteristic
1472C42C22×D411yescharacteristic
1473C42C22×D411yescharacteristic
1474C42C22×D411yescharacteristic
1475C42C22×D411yescharacteristic
1476C42C22×D411yescharacteristic
1477C42C22×D411yescharacteristic
1478C42C22×D411yescharacteristic
1479C42C22×D414yes—
1480C42C2511yescharacteristic
1481C42C2514yes—
1482C42C2511yescharacteristic
1483C42C2511yescharacteristic
1484C42C2511yescharacteristic
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—41no—
1489C23—42no—
1490C23—81no—
1491C23—81no—
1492C23C23×D411yescharacteristic
1493C23C23×D414yes—
1494C23C23×D411yescharacteristic
1495C23C23×D411yescharacteristic
1496Q8—24no—
1497Q8—24no—
1498Q8—24no—
1499Q8—22no—
1500Q8—24no—
1501Q8—24no—
1502Q8—22no—
1503Q8—24no—
1504Q8—24no—
1505Q8—42no—
1506Q8—42no—
1507Q8—44no—
1508Q8—44no—
1509Q8—44no—
1510Q8—44no—
1511Q8—81no—
1512Q8—82no—
1513Q8—82no—
1514Q8—82no—
1515Q8—84no—
1516Q8—88no—
1517Q8—82no—
1518Q8—82no—
1519Q8—84no—
1520D4—28no—
1521D4—28no—
1522D4—22no—
1523D4—22no—
1524D4—24no—
1525D4—42no—
1526D4—42no—
1527D4—44no—
1528D4—44no—
1529D4—81no—
1530D4—82no—
1531D4—84no—
1532D4—84no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—24no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—28no—
1549C2×C4—24no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—24no—
1555C2×C4—24no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—42no—
1569C2×C4—44no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—84no—
1573C2×C4—84no—
1574C2×C4—81no—
1575C2×C4—82no—
1576C2×C4—84no—
1577C2×C4—82no—
1578C2×C4—81no—
1579C2×C4—82no—
1580C2×C4—88no—
1581C2×C4—84no—
1582C2×C4#57814yes—
1583C2×C4C23×D411yescharacteristic
1584C2×C4C23×D411yescharacteristic
1585C2×C4C23×D411yescharacteristic
1586C2×C4C23×D411yescharacteristic
1587C2×C4C23×D414yes—
1588C2×C4C23×D414yes—
1589C2×C4C23×D414yes—
1590C2×C4C23×D411yescharacteristic
1591C2×C4C23×D411yescharacteristic
1592C2×C4C23×D411yescharacteristic
1593C2×C4C23×D411yescharacteristic
1594C2×C4C23×D411yescharacteristic
1595C2×C4C23×D411yescharacteristic
1596C2×C4C23×D411yescharacteristic
1597C2×C4C2611yescharacteristic
1598C8—24no—
1599C8—24no—
1600C8—24no—
1601C8—24no—
1602C22—21no—
1603C22—21no—
1604C22—21no—
1605C22—21no—
1606C22—21no—
1607C22—24no—
1608C22—21no—
1609C22—24no—
1610C22—21no—
1611C22—24no—
1612C22—44no—
1613C22—42no—
1614C22—42no—
1615C22—42no—
1616C22—162no—
1617C22C2×#57812yes—
1618C22#358612yes—
1619C22C24×D411yescharacteristic
1620C4—21no—
1621C4—21no—
1622C4—24no—
1623C4—21no—
1624C4—21no—
1625C4—21no—
1626C4—21no—
1627C4—24no—
1628C4—21no—
1629C4—21no—
1630C4—21no—
1631C4—24no—
1632C4—42no—
1633C4—44no—
1634C4—44no—
1635C4—44no—
1636C4—42no—
1637C4—44no—
1638C4—42no—
1639C4—44no—
1640C4—44no—
1641C4C2×#57812yes—
1642C4C2×#57812yes—
1643C4H(7,𝔽2)11yescharacteristic
1644C42−1+611yescharacteristic
1645C2—22no—
1646C2—22no—
1647C2—44no—
1648C2—41no—
1649C2—82no—
1650C2#6285311yescharacteristic
1651C2C22×#57811yescharacteristic
1652C2C2×#358611yescharacteristic
subgroupG/H
center, socleC22C24×D4
commutator, Frattini, cosocleC2×C4C26
prime radical#62752C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ #3444 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62837C2semidirect
3. #62406C2semidirect
4. #62350C2semidirect
5. #62281C2semidirect
6. #62271C2semidirect
7. #62204C2semidirect
8. #62168C2semidirect
9. #62130C2semidirect
10. #62113C2semidirect
11. #62097C2semidirect
12. #62056C2semidirect
13. #62020C2semidirect
14. #61984C2semidirect
15. #61960C2semidirect
16. #61952C2semidirect
17. #60995C2semidirect
18. #60971C2semidirect
19. #60950C2semidirect
20. #60925C2semidirect
21. C2×#3249C2semidirect
22. C2×#3248C2semidirect
23. #60265C2semidirect
32. #3556C22semidirect
37. #3550C22semidirect
46. #3523C22semidirect
48. #3509C22semidirect
49. #3509C22semidirect
53. #3503C22semidirect
71. #3398C22semidirect
72. #3398C22semidirect
73. #3395C22semidirect
74. #3390C22semidirect
75. #3387C22semidirect
76. #3381C22semidirect
77. #3377C22semidirect
78. #3374C22semidirect
79. #3374C22semidirect
80. #3372C22semidirect
81. #3364C22semidirect
82. #3363C22semidirect
83. #3356C22semidirect
84. #3349C22semidirect
87. #3340C22semidirect
89. #3336C22semidirect
90. #3329C22semidirect
91. #3328C22semidirect
92. #3313C22semidirect
95. #3312C22semidirect
96. #3312C22semidirect
97. #3312C22semidirect
98. #3302C22semidirect
101. #3299C22semidirect
105. D4×Q16C22semidirect
106. D4×Q16C22semidirect
107. #3276C22semidirect
109. #3270C22semidirect
111. #3261C22semidirect
112. #3261C22semidirect
114. #3258C22semidirect
115. #3255C22semidirect
116. #3255C22semidirect
117. #3255C22semidirect
120. #3252C22semidirect
124. #3249C22semidirect
125. #3249C22semidirect
126. #3249C22semidirect
131. #3248C22semidirect
132. #3242C22semidirect
134. #3237C22semidirect
136. #3233C22semidirect
138. #3229C22semidirect
139. #3223C22semidirect
141. #3218C22semidirect
144. #3209C22semidirect
145. #3209C22semidirect
146. #3202C22semidirect
151. #3185C22semidirect
153. #3177C22semidirect
155. #3127C22semidirect
156. #3121C22semidirect
157. #3116C22semidirect
159. #3113C22semidirect
160. #3113C22semidirect
162. #3107C22semidirect
164. #3104C22semidirect
166. #3082C22semidirect
167. #3078C22semidirect
168. #3076C22semidirect
170. C2×#477C22semidirect
171. C2×#477C22semidirect
175. #3059C22semidirect
179. #3044C22semidirect
180. #3039C22semidirect
183. C2×#462C22semidirect
184. C2×#462C22semidirect
185. C2×#462C22semidirect
187. #2994C22semidirect
189. #2990C22semidirect
192. #2962C22semidirect
193. #2935C22semidirect
195. #2925C22semidirect
197. #2906C22semidirect

Maximal subgroups

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

subgroupindex
#628372
#627522
#624062
#623502
#622812
#622712
#622042
#621682
#621302
#621132
#620972
#620562
#620202
#619842
#619602
#619522
#609952
#609712
#609502
#609252
C2×#32492
C2×#32482
#602652