Finite Group Databasebeta

← #7646776

Subgroups — #7646776

Order 512.

6552 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3507C211yesmaximal, characteristic, complemented
2C2×#3461C211yesmaximal, characteristic, complemented
3#42389C212yesmaximal, complemented
4#42388C212yesmaximal, complemented
5#42313C212yesmaximal, complemented
6#42312C212yesmaximal, complemented
7#42154C212yesmaximal, complemented
8#42153C212yesmaximal, complemented
9#41957C212yesmaximal, complemented
10#41956C212yesmaximal, complemented
11#38379C214yesmaximal, complemented
12#38378C214yesmaximal, complemented
13#38375C214yesmaximal, complemented
14#38374C214yesmaximal, complemented
15#37608C212yesmaximal, complemented
16#37557C211yesmaximal, characteristic, complemented
17#37556C211yesmaximal, characteristic, complemented
18#37190C214yesmaximal, complemented
19#36742C212yesmaximal, complemented
20#36741C212yesmaximal, complemented
21#35366C214yesmaximal, complemented
22#35326C211yesmaximal, characteristic, complemented
23#35303C211yesmaximal, characteristic, complemented
24#35234C212yesmaximal, complemented
25#35144C212yesmaximal, complemented
26#35006C212yesmaximal, complemented
27#35004C212yesmaximal, complemented
28#34876C212yesmaximal, complemented
29C2×#2356C211yesmaximal, characteristic, complemented
30#3507—216no—
31C2×#559C2212yes—
32C2×#557C2212yes—
33C2×#556C2212yes—
34C2×#556C2214yes—
35C2×#554C2212yes—
36C2×#552C2214yes—
37#3461—216no—
38C2×#544C2211yescharacteristic
39C2×#542C2212yes—
40C2×#542C2212yes—
41C2×#541C2212yes—
42C2×#541C2212yes—
43C2×#539C2212yes—
44C2×#539C2212yes—
45C2×#539C2212yes—
46C2×#539C2211yescharacteristic
47C2×#539C2211yescharacteristic
48C2×#537C2211yescharacteristic
49C2×#536C2212yes—
50C2×#536C2212yes—
51C2×#533C2211yescharacteristic
52C2×#533C2212yes—
53C2×#533C2212yes—
54C2×#532C2211yescharacteristic
55C2×#529C2212yes—
56C2×#529C2212yes—
57C2×#529C2212yes—
58C2×#529C2211yescharacteristic
59C2×#529C2211yescharacteristic
60C2×#529C2212yes—
61C2×#529C2212yes—
62C2×#520C2212yes—
63C2×C4×#41C2212yes—
64C22×C4×Q8C2211yescharacteristic
65#2857C2212yes—
66#2856C2212yes—
67#2854C2214yes—
68#2854C2214yes—
69#2852C2214yes—
70#2852C2214yes—
71#2850C2212yes—
72#2850C2212yes—
73#2822C2212yes—
74#2821C2212yes—
75#2821C2212yes—
76#2821C2212yes—
77#2820C2212yes—
78#2820C2212yes—
79#2819C2212yes—
80#2818C2212yes—
81#2734C2214yes—
82#2733C2214yes—
83#2732C2214yes—
84#2732C2214yes—
85#2731C2214yes—
86#2731C2214yes—
87#2730C2214yes—
88#2730C2214yes—
89#2730C2214yes—
90#2730C2214yes—
91#2729C2214yes—
92#2729C2214yes—
93#2729C2214yes—
94#2729C2214yes—
95#2728C2214yes—
96#2728C2214yes—
97#2723C2214yes—
98#2721C2214yes—
99#2720C2214yes—
100#2719C2214yes—
101#2716C2214yes—
102#2714C2214yes—
103#2713C2214yes—
104#2711C2214yes—
105#2696C2214yes—
106#2694C2214yes—
107#2692C2214yes—
108#2690C2214yes—
109#2677C2214yes—
110#2676C2214yes—
111#2674C2214yes—
112#2673C2214yes—
113#2664C2212yes—
114#2664C2212yes—
115#2662C2212yes—
116#2662C2212yes—
117#2660C2211yescharacteristic
118#2660C2211yescharacteristic
119#2659C2212yes—
120#2658C2211yescharacteristic
121#2657C2211yescharacteristic
122#2656C2212yes—
123#2642C2211yescharacteristic
124#2641C2211yescharacteristic
125#2640C2211yescharacteristic
126#2640C2211yescharacteristic
127#2639C2212yes—
128#2639C2212yes—
129#2637C2212yes—
130#2637C2212yes—
131#2637C2214yes—
132#2636C2212yes—
133#2636C2212yes—
134#2636C2214yes—
135#2634C2212yes—
136#2634C2212yes—
137#2634C2212yes—
138#2633C2212yes—
139#2633C2212yes—
140#2633C2212yes—
141#2632C2212yes—
142#2632C2212yes—
143#2632C2212yes—
144#2631C2212yes—
145#2631C2212yes—
146#2631C2212yes—
147#2618C2214yes—
148#2618C2214yes—
149#2611C2212yes—
150#2611C2212yes—
151#2611C2214yes—
152#2610C2212yes—
153#2610C2212yes—
154#2610C2214yes—
155#2609C2214yes—
156#2609C2214yes—
157#2604C2214yes—
158#2604C2212yes—
159#2604C2212yes—
160#2603C2214yes—
161#2603C2212yes—
162#2603C2212yes—
163#2601C2214yes—
164#2601C2214yes—
165#2599C2212yes—
166#2599C2212yes—
167#2599C2214yes—
168#2599C2214yes—
169#2598C2212yes—
170#2598C2212yes—
171#2598C2214yes—
172#2598C2214yes—
173#2592C2212yes—
174#2584C2212yes—
175#2564C2214yes—
176#2564C2212yes—
177#2564C2212yes—
178#2564C2212yes—
179#2564C2212yes—
180#2562C2212yes—
181#2560C2214yes—
182#2560C2214yes—
183#2558C2214yes—
184#2558C2214yes—
185#2556C2214yes—
186#2556C2214yes—
187#2554C2214yes—
188#2554C2214yes—
189#2543C2214yes—
190#2543C2212yes—
191#2543C2212yes—
192#2543C2212yes—
193#2543C2212yes—
194#2540C2212yes—
195#2519C2214yes—
196#2519C2214yes—
197#2512C2214yes—
198#2506C2214yes—
199#2498C2214yes—
200#2498C2214yes—
201#2498C2214yes—
202#2498C2214yes—
203#2481C2214yes—
204#2479C2214yes—
205#2477C2214yes—
206#2475C2214yes—
207#2473C2214yes—
208#2471C2214yes—
209#2469C2214yes—
210#2467C2214yes—
211#2465C2214yes—
212#2463C2214yes—
213#2462C2214yes—
214#2461C2214yes—
215#2461C2214yes—
216#2460C2214yes—
217#2458C2214yes—
218#2456C2214yes—
219#2452C2214yes—
220#2449C2214yes—
221#2445C2214yes—
222#2443C2214yes—
223#2430C2214yes—
224#2430C2214yes—
225#2430C2214yes—
226#2430C2214yes—
227#2417C2214yes—
228#2416C2214yes—
229#2399C2212yes—
230#2398C2212yes—
231#2398C2212yes—
232#2397C2212yes—
233#2356C2212yes—
234#2356C2212yes—
235#2356C2212yes—
236#2356C2212yes—
237#2356C2214yes—
238#2356C2214yes—
239#2328C2212yes—
240#2327C2212yes—
241#2326C2212yes—
242#2326C2212yes—
243#2325C2214yes—
244#2325C2214yes—
245#2324C2214yes—
246#2323C2214yes—
247C4×#121C2214yes—
248C4×#121C2214yes—
249C2×#391C2212yes—
250#2290C2214yes—
251#2290C2214yes—
252C2×#387C2212yes—
253C2×#387C2212yes—
254C2×#383C2211yescharacteristic
255C2×#383C2211yescharacteristic
256C2×#382C2211yescharacteristic
257C2×C4×C4⋊C4C2211yescharacteristic
258C2×C4×C4⋊C4C2212yes—
259C2×#376C2211yescharacteristic
260C2×#376C2211yescharacteristic
261C22×#41C2312yes—
262C22×#41C2312yes—
263C23×Q8C2311yescharacteristic
264#559—216no—
265#557—216no—
266#556—216no—
267#556—232no—
268#554—216no—
269#552—232no—
270#544—28no—
271#542—216no—
272#542—216no—
273#541—216no—
274#541—216no—
275#539—216no—
276#539—28no—
277#539—28no—
278#539—216no—
279#539—216no—
280#537—28no—
281#536—216no—
282#536—216no—
283#533—216no—
284#533—216no—
285#533—28no—
286#532—28no—
287C2×C4⋊Q8C2311yescharacteristic
288C2×C4⋊Q8C2311yescharacteristic
289C2×C4⋊Q8C2311yescharacteristic
290C2×C4⋊Q8C2312yes—
291C2×C4⋊Q8C2312yes—
292C2×C4⋊Q8C2312yes—
293C2×C4⋊Q8C2312yes—
294C2×C4⋊Q8C2314yes—
295C2×C4⋊Q8C2312yes—
296C2×#127C2311yescharacteristic
297C2×#127C2312yes—
298#529—216no—
299#529—216no—
300#529—216no—
301#529—28no—
302#529—28no—
303#529—216no—
304#529—216no—
305C2×#126C2312yes—
306C2×#126C2314yes—
307C2×#126C2312yes—
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#125C2314yes—
330C2×#125C2314yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2311yescharacteristic
336C2×#124C2311yescharacteristic
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2314yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#123C2312yes—
343C2×#123C2312yes—
344C2×#123C2314yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×#123C2314yes—
348C2×#123C2312yes—
349C2×#123C2312yes—
350C2×#123C2312yes—
351C2×#123C2312yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2314yes—
372C2×C22⋊Q8C2314yes—
373C2×C22⋊Q8C2314yes—
374C2×#121C2311yescharacteristic
375C2×#121C2312yes—
376C2×#121C2311yescharacteristic
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386#520—216no—
387C4×#41—216no—
388C2×C4×Q8D4116yescomplemented
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2311yescharacteristic
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2314yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2312yes—
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2314yes—
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2312yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2314yes—
420C2×C4×D4C2314yes—
421C2×#117C2314yes—
422C2×#117C2312yes—
423C2×#117C2312yes—
424C2×#117C2312yes—
425C2×#117C2314yes—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2314yes—
432C22×C4⋊C4C2314yes—
433C22×C4⋊C4C2312yes—
434C22×C4⋊C4C2312yes—
435C22×C4⋊C4C2311yescharacteristic
436C22×C4⋊C4C2311yescharacteristic
437C22×C4⋊C4C2311yescharacteristic
438C22×C42C2312yes—
439C22×C42C2312yes—
440C22×C42C2312yes—
441C22×C42C2312yes—
442C22×C42C2312yes—
443C22×C42C2311yescharacteristic
444C22×C42C2311yescharacteristic
445C22×C42C2311yescharacteristic
446#400C2312yes—
447#400C2312yes—
448#400C2312yes—
449#400C2312yes—
450#400C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#400C2314yes—
455#400C2314yes—
456#400C2314yes—
457#399C2312yes—
458#399C2312yes—
459#399C2314yes—
460#399C2312yes—
461#399C2312yes—
462#399C2314yes—
463#399C2314yes—
464#399C2314yes—
465#399C2314yes—
466#399C2314yes—
467#399C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2312yes—
471#398C2312yes—
472#398C2314yes—
473#398C2314yes—
474#398C2312yes—
475#398C2314yes—
476#398C2314yes—
477#398C2312yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2312yes—
488#397C2312yes—
489#397C2314yes—
490#397C2312yes—
491#397C2314yes—
492#397C2312yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#395C2312yes—
509#395C2312yes—
510#395C2314yes—
511#395C2312yes—
512#395C2312yes—
513#395C2314yes—
514#395C2314yes—
515#395C2314yes—
516#395C2314yes—
517#395C2314yes—
518#395C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2312yes—
522#394C2312yes—
523#394C2312yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2312yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#393C2314yes—
537#393C2314yes—
538#393C2312yes—
539#393C2312yes—
540#393C2314yes—
541#393C2312yes—
542#393C2312yes—
543#393C2314yes—
544#393C2314yes—
545#393C2314yes—
546#393C2314yes—
547#392C2312yes—
548#392C2312yes—
549#392C2314yes—
550#392C2314yes—
551#392C2312yes—
552#392C2314yes—
553#392C2314yes—
554#392C2312yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#391C2312yes—
559#391C2312yes—
560#391C2314yes—
561#391C2312yes—
562#391C2312yes—
563#391C2314yes—
564#391C2314yes—
565#391C2314yes—
566#391C2314yes—
567#390C2314yes—
568#390C2314yes—
569#390C2314yes—
570#390C2314yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2314yes—
576#390C2314yes—
577#390C2314yes—
578#390C2314yes—
579#390C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#384C2312yes—
695#384C2312yes—
696#383C2312yes—
697#383C2312yes—
698#383C2314yes—
699#383C2312yes—
700#383C2312yes—
701#383C2312yes—
702#383C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#380C2314yes—
709#380C2314yes—
710#380C2314yes—
711#380C2314yes—
712#380C2314yes—
713#380C2314yes—
714C4×C4⋊C4C2314yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2314yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2314yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2314yes—
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2314yes—
727#376C2312yes—
728#376C2312yes—
729#376C2311yescharacteristic
730#376C2311yescharacteristic
731#376C2314yes—
732#376C2311yescharacteristic
733#376C2311yescharacteristic
734#376C2312yes—
735#376C2312yes—
736C2×#95C2311yescharacteristic
737C2×#95C2311yescharacteristic
738C2×#95C2311yescharacteristic
739C2×#95C2311yescharacteristic
740C2×#95C2312yes—
741C2×#95C2312yes—
742C2×#95C2312yes—
743C2×#95C2312yes—
744C2×#95C2312yes—
745C2×#95C2312yes—
746C2×#95C2312yes—
747C2×#41—28no—
748C2×#41—28no—
749C2×#41—44no—
750C2×#41—44no—
751C2×#41—44no—
752C2×#41—44no—
753C22×Q8—42no—
754C22×Q8—42no—
755C22×Q8C2×D418yes—
756C22×Q8C2412yes—
757C22×Q8C2412yes—
758C22×Q8C2412yes—
759C22×Q8C2412yes—
760C22×Q8C2412yes—
761C22×Q8C2411yescharacteristic
762C22×Q8C2411yescharacteristic
763C22×Q8C2412yes—
764C22×Q8C2412yes—
765C22×D4C2412yes—
766C22×D4C2412yes—
767C22×D4C2414yes—
768C22×D4C2412yes—
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2411yescharacteristic
773C22×D4C2411yescharacteristic
774C22×D4C2414yes—
775C22×D4C2412yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C23×C4C2412yes—
780C23×C4C2411yescharacteristic
781C23×C4C2411yescharacteristic
782C23×C4C2411yescharacteristic
783C23×C4C2414yes—
784C23×C4C2414yes—
785C23×C4C2414yes—
786C23×C4C2412yes—
787C23×C4C2412yes—
788C23×C4C2412yes—
789C23×C4C2412yes—
790C23×C4C2412yes—
791C23×C4C2412yes—
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2412yes—
795C23×C4C2411yescharacteristic
796C23×C4C2411yescharacteristic
797C23×C4C2411yescharacteristic
798C23×C4C2411yescharacteristic
799C4⋊Q8—28no—
800C4⋊Q8—28no—
801C4⋊Q8—216no—
802C4⋊Q8—28no—
803C4⋊Q8—28no—
804C4⋊Q8—24no—
805C4⋊Q8—24no—
806C4⋊Q8—24no—
807C4⋊Q8—44no—
808#127—24no—
809#127—44no—
810#126—28no—
811#126—28no—
812#126—28no—
813#126—28no—
814#126—216no—
815#126—216no—
816#126—28no—
817#126—28no—
818#126—28no—
819#126—28no—
820#126—216no—
821#126—216no—
822#125—28no—
823#125—28no—
824#125—28no—
825#125—28no—
826#125—28no—
827#125—28no—
828#125—216no—
829#125—216no—
830#125—24no—
831#125—28no—
832#125—24no—
833#125—28no—
834#125—28no—
835#125—28no—
836#124—28no—
837#124—28no—
838#124—216no—
839#124—24no—
840#124—28no—
841#124—24no—
842#124—28no—
843#124—28no—
844#124—28no—
845#124—44no—
846#124—44no—
847#123—28no—
848#123—28no—
849#123—28no—
850#123—28no—
851#123—216no—
852#123—216no—
853#123—28no—
854#123—28no—
855#123—28no—
856#123—28no—
857#123—216no—
858#123—216no—
859C22⋊Q8—28no—
860C22⋊Q8—28no—
861C22⋊Q8—28no—
862C22⋊Q8—28no—
863C22⋊Q8—216no—
864C22⋊Q8—216no—
865C22⋊Q8—28no—
866C22⋊Q8—28no—
867C22⋊Q8—24no—
868C22⋊Q8—24no—
869C22⋊Q8—28no—
870C22⋊Q8—28no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—28no—
876C22⋊Q8—216no—
877C22⋊Q8—216no—
878C22⋊Q8—48no—
879#121—28no—
880#121—28no—
881#121—24no—
882#121—24no—
883#121—28no—
884#121—28no—
885#121—28no—
886#121—48no—
887#121—48no—
888#121—48no—
889#121—48no—
890#121—48no—
891C4×Q8—216no—
892C4×Q8—28no—
893C4×Q8—28no—
894C4×Q8—28no—
895C4×Q8—24no—
896C4×Q8—24no—
897C4×Q8—28no—
898C4×Q8—28no—
899C4×Q8—28no—
900C4×Q8—28no—
901C4×Q8C2×D4116yes—
902C4×Q8C2×D4116yes—
903C4×Q8C2×D4116yes—
904C4×Q8C2×D4116yes—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—28no—
909C4×D4—216no—
910C4×D4—216no—
911C4×D4—216no—
912C4×D4—28no—
913C4×D4—28no—
914C4×D4—28no—
915C4×D4—24no—
916C4×D4—24no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—28no—
921C4×D4—48no—
922C4×D4—48no—
923#117—28no—
924#117—28no—
925#117—216no—
926#117—28no—
927#117—28no—
928#117—28no—
929#117—28no—
930#117—28no—
931#117—28no—
932#117—216no—
933#117—216no—
934C2×C4⋊C4—216no—
935C2×C4⋊C4—44no—
936C2×C4⋊C4—44no—
937C2×C4⋊C4C2×D418yes—
938C2×C4⋊C4C2×D418yes—
939C2×C4⋊C4C2×D418yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C42—28no—
1052C2×C42—28no—
1053C2×C42—44no—
1054C2×C42—44no—
1055C2×C42—44no—
1056C2×C42C2×D418yes—
1057C2×C42C2×D418yes—
1058C2×C42C2×D418yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2414yes—
1066C2×C42C2414yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084#95C2412yes—
1085#95C2411yescharacteristic
1086#95C2411yescharacteristic
1087#95C2412yes—
1088#95C2412yes—
1089#95C2411yescharacteristic
1090#95C2412yes—
1091#95C2411yescharacteristic
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134C24C2514yes—
1135C24C2512yes—
1136C24C2512yes—
1137C24C2511yescharacteristic
1138#41—432no—
1139#41—432no—
1140C2×Q8—24no—
1141C2×Q8—24no—
1142C2×Q8—24no—
1143C2×Q8—24no—
1144C2×Q8—24no—
1145C2×Q8—22no—
1146C2×Q8—22no—
1147C2×Q8—416no—
1148C2×Q8—42no—
1149C2×Q8—42no—
1150C2×Q8—42no—
1151C2×Q8—42no—
1152C2×Q8—44no—
1153C2×Q8—42no—
1154C2×Q8—42no—
1155C2×Q8—42no—
1156C2×Q8—42no—
1157C2×Q8—44no—
1158C2×Q8—42no—
1159C2×Q8—42no—
1160C2×Q8—42no—
1161C2×Q8—42no—
1162C2×Q8C22×D418yes—
1163C2×Q8C22×D418yes—
1164C2×D4—24no—
1165C2×D4—24no—
1166C2×D4—28no—
1167C2×D4—28no—
1168C2×D4—24no—
1169C2×D4—24no—
1170C2×D4—24no—
1171C2×D4—28no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—24no—
1175C2×D4—24no—
1176C2×D4—24no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—24no—
1180C2×D4—28no—
1181C2×D4—44no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—28no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—28no—
1221C22×C4—28no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4C22×D414yes—
1248C22×C4C22×D414yes—
1249C22×C4C22×D414yes—
1250C22×C4C22×D414yes—
1251C22×C4C22×D414yes—
1252C22×C4C22×D414yes—
1253C22×C4C22×D414yes—
1254C22×C4C2512yes—
1255C22×C4C2514yes—
1256C22×C4C2514yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2514yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2514yes—
1267C22×C4C2514yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C4⋊C4—24no—
1280C4⋊C4—28no—
1281C4⋊C4—28no—
1282C4⋊C4—24no—
1283C4⋊C4—28no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—28no—
1291C4⋊C4—28no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—28no—
1316C4⋊C4—24no—
1317C4⋊C4—28no—
1318C4⋊C4—28no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4C22×D418yes—
1334C4⋊C4C22×D418yes—
1335C4⋊C4C22×D418yes—
1336C4⋊C4C22×D418yes—
1337C4⋊C4C22×D418yes—
1338C4⋊C4C22×D418yes—
1339C22⋊C4—28no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—28no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—28no—
1346C22⋊C4—28no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—28no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—28no—
1367C22⋊C4—28no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C42—24no—
1391C42—24no—
1392C42—24no—
1393C42—24no—
1394C42—24no—
1395C42—24no—
1396C42—28no—
1397C42—28no—
1398C42—28no—
1399C42—28no—
1400C42—24no—
1401C42—24no—
1402C42—44no—
1403C42—42no—
1404C42—42no—
1405C42—44no—
1406C42—44no—
1407C42C22×D418yes—
1408C42C22×D418yes—
1409C42C22×D414yes—
1410C42C22×D418yes—
1411C42C22×D414yes—
1412C42C22×D414yes—
1413C42C22×D418yes—
1414C42C22×D414yes—
1415C23—22no—
1416C23—22no—
1417C23—24no—
1418C23—22no—
1419C23—22no—
1420C23—24no—
1421C23—24no—
1422C23—24no—
1423C23—24no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—24no—
1428C23—22no—
1429C23—24no—
1430C23—24no—
1431C23—24no—
1432C23—24no—
1433C23—24no—
1434C23C23×D412yes—
1435C23#58512yes—
1436C23#58512yes—
1437C23C2611yescharacteristic
1438Q8—48no—
1439Q8—48no—
1440Q8—48no—
1441Q8—48no—
1442Q8—48no—
1443Q8—84no—
1444Q8—82no—
1445Q8—84no—
1446Q8—82no—
1447D4—48no—
1448D4—48no—
1449D4—48no—
1450D4—48no—
1451D4—48no—
1452D4—416no—
1453D4—84no—
1454D4—84no—
1455D4—82no—
1456D4—82no—
1457D4—88no—
1458D4—88no—
1459D4—164no—
1460D4—164no—
1461C2×C4—24no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—28no—
1478C2×C4—28no—
1479C2×C4—28no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—24no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—24no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—24no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—44no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—48no—
1523C2×C4—48no—
1524C2×C4—48no—
1525C2×C4—416no—
1526C2×C4—48no—
1527C2×C4—48no—
1528C2×C4—88no—
1529C2×C4—84no—
1530C2×C4—84no—
1531C2×C4—88no—
1532C2×C4—84no—
1533C2×C4—84no—
1534C2×C4—84no—
1535C2×C4C23×D412yes—
1536C2×C4C23×D414yes—
1537C2×C4C23×D412yes—
1538C2×C4C23×D414yes—
1539C2×C4C23×D414yes—
1540C2×C4C23×D412yes—
1541C2×C4C23×D414yes—
1542C2×C4C23×D412yes—
1543C2×C4C23×D412yes—
1544C2×C4C23×D412yes—
1545C2×C4#58514yes—
1546C22—22no—
1547C22—22no—
1548C22—24no—
1549C22—24no—
1550C22—44no—
1551C22—42no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—44no—
1556C22—44no—
1557C22—44no—
1558C22—44no—
1559C22—44no—
1560C22—44no—
1561C22—44no—
1562C22—44no—
1563C22—44no—
1564C22—44no—
1565C22—42no—
1566C22—42no—
1567C22#344914yes—
1568C22C24×D411yescharacteristic
1569C22C2×#58512yes—
1570C22C2×#58511yescharacteristic
1571C22C2×#58511yescharacteristic
1572C222−1+612yes—
1573C4—24no—
1574C4—24no—
1575C4—22no—
1576C4—22no—
1577C4—22no—
1578C4—22no—
1579C4—24no—
1580C4—22no—
1581C4—24no—
1582C4—22no—
1583C4—24no—
1584C4—44no—
1585C4—42no—
1586C4—42no—
1587C4—42no—
1588C4—42no—
1589C4—44no—
1590C4—42no—
1591C4—44no—
1592C4—42no—
1593C4—44no—
1594C4—42no—
1595C4—42no—
1596C4—42no—
1597C4—44no—
1598C2—24no—
1599C2—84no—
1600C2—82no—
1601C2—82no—
1602C2C2×#344911yescharacteristic
1603C2#6281211yescharacteristic
1604C2#6284811yescharacteristic
1605C2#6290912yes—
1606C2#6291112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3507C2semidirect
2. C2×#3461C2semidirect
3. #42389C2semidirect
4. #42388C2semidirect
5. #42313C2semidirect
6. #42312C2semidirect
7. #42154C2semidirect
8. #42153C2semidirect
9. #41957C2semidirect
10. #41956C2semidirect
11. #38379C2semidirect
12. #38378C2semidirect
13. #38375C2semidirect
14. #38374C2semidirect
15. #37608C2semidirect
16. #37557C2semidirect
17. #37556C2semidirect
18. #37190C2semidirect
19. #36742C2semidirect
20. #36741C2semidirect
21. #35366C2semidirect
22. #35326C2semidirect
23. #35303C2semidirect
24. #35234C2semidirect
25. #35144C2semidirect
26. #35006C2semidirect
27. #35004C2semidirect
28. #34876C2semidirect
29. C2×#2356C2semidirect
388. C2×C4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35072
C2×#34612
#423892
#423882
#423132
#423122
#421542
#421532
#419572
#419562
#383792
#383782
#383752
#383742
#376082
#375572
#375562
#371902
#367422
#367412
#353662
#353262
#353032
#352342
#351442
#350062
#350042
#348762
C2×#23562