Finite Group Databasebeta

← #7650802

Subgroups — #7650802

Order 512.

5649 conjugacy classes of subgroups.

The subgroup lattice has 1904 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42993C212yesmaximal, complemented
2#42945C212yesmaximal, complemented
3#42892C212yesmaximal, complemented
4#42866C212yesmaximal, complemented
5#42767C212yesmaximal, complemented
6#42654C212yesmaximal, complemented
7#42532C212yesmaximal, complemented
8#42447C212yesmaximal, complemented
9#40790C214yesmaximal, complemented
10#40701C214yesmaximal, complemented
11#40218C212yesmaximal, complemented
12#40169C212yesmaximal, complemented
13#39934C212yesmaximal, complemented
14#39908C212yesmaximal, complemented
15#39733C212yesmaximal, complemented
16#39238C212yesmaximal, complemented
17#38997C212yesmaximal, complemented
18#38928C212yesmaximal, complemented
19#38577C214yesmaximal, complemented
20#37912C214yesmaximal, complemented
21#35620C211yesmaximal, characteristic, complemented
22#35564C211yesmaximal, characteristic, complemented
23#35545C211yesmaximal, characteristic, complemented
24#35542C211yesmaximal, characteristic, complemented
25#35518C211yesmaximal, characteristic, complemented
26#35517C211yesmaximal, characteristic, complemented
27#35328C211yesmaximal, characteristic, complemented
28#35251C211yesmaximal, characteristic, complemented
29#35158C211yesmaximal, characteristic, complemented
30C2×#2495C211yesmaximal, characteristic, complemented
31#34742C211yesmaximal, characteristic, complemented
32#34738C211yesmaximal, characteristic, complemented
33#34267C211yesmaximal, characteristic, complemented
34#34206C211yesmaximal, characteristic, complemented
35#34175C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#544C2211yescharacteristic, complemented
38C2×#537C2211yescharacteristic
39C2×#537C2211yescharacteristic
40C2×#537C2211yescharacteristic, complemented
41C2×#532C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C2×#525C2211yescharacteristic
45C2×#520C2211yescharacteristic
46C2×#520C2211yescharacteristic
47C2×#520C2211yescharacteristic, complemented
48C2×C4×#41C2211yescharacteristic, complemented
49#2850C2212yescomplemented
50#2850C2212yescomplemented
51#2850C2214yescomplemented
52#2848C2212yes—
53#2847C2212yes—
54#2831C2214yescomplemented
55#2829C2214yescomplemented
56#2824C2214yescomplemented
57#2824C2214yescomplemented
58#2808C2214yescomplemented
59#2804C2214yescomplemented
60#2803C2214yescomplemented
61#2786C2214yes—
62#2779C2214yescomplemented
63#2778C2214yes—
64#2775C2214yescomplemented
65#2774C2214yescomplemented
66#2770C2214yescomplemented
67#2768C2214yes—
68#2764C2214yescomplemented
69#2759C2214yescomplemented
70#2756C2214yescomplemented
71#2756C2214yescomplemented
72#2756C2214yescomplemented
73#2753C2214yescomplemented
74#2751C2214yescomplemented
75#2750C2214yes—
76#2750C2214yescomplemented
77#2750C2214yescomplemented
78#2749C2214yescomplemented
79#2749C2214yescomplemented
80#2741C2214yescomplemented
81#2735C2214yes—
82#2714C2214yescomplemented
83#2710C2214yescomplemented
84#2703C2214yescomplemented
85#2697C2214yes—
86#2695C2214yescomplemented
87#2688C2214yescomplemented
88#2684C2214yes—
89#2670C2214yes—
90#2666C2214yescomplemented
91#2661C2214yescomplemented
92#2653C2214yescomplemented
93#2652C2214yes—
94#2650C2214yescomplemented
95#2648C2214yescomplemented
96#2648C2214yescomplemented
97#2648C2214yescomplemented
98#2646C2214yescomplemented
99#2639C2214yescomplemented
100#2636C2214yescomplemented
101#2631C2214yescomplemented
102#2621C2212yescomplemented
103#2619C2212yescomplemented
104#2617C2214yes—
105#2616C2212yes—
106#2615C2212yes—
107#2595C2214yes—
108#2593C2214yescomplemented
109#2589C2214yescomplemented
110#2578C2214yescomplemented
111#2572C2214yescomplemented
112#2568C2212yescomplemented
113#2566C2212yescomplemented
114#2565C2212yescomplemented
115#2563C2212yescomplemented
116#2563C2212yescomplemented
117#2562C2212yes—
118#2562C2212yescomplemented
119#2557C2214yes—
120#2547C2212yes—
121#2543C2214yescomplemented
122#2543C2214yescomplemented
123#2543C2214yescomplemented
124#2538C2212yes—
125#2537C2212yescomplemented
126#2536C2212yescomplemented
127#2536C2212yescomplemented
128#2536C2212yescomplemented
129#2535C2212yes—
130#2535C2212yescomplemented
131#2535C2212yescomplemented
132#2518C2214yescomplemented
133#2514C2212yescomplemented
134#2513C2212yescomplemented
135#2512C2212yescomplemented
136#2511C2212yescomplemented
137#2510C2214yescomplemented
138#2510C2214yescomplemented
139#2497C2212yescomplemented
140#2496C2212yescomplemented
141#2495C2212yes—
142#2495C2212yes—
143#2495C2212yes—
144#2495C2212yes—
145#2495C2212yescomplemented
146#2495C2212yescomplemented
147#2495C2212yescomplemented
148#2495C2212yescomplemented
149#2495C2212yescomplemented
150#2494C2212yescomplemented
151#2492C2212yescomplemented
152#2492C2212yescomplemented
153#2492C2212yescomplemented
154#2491C2212yes—
155#2491C2212yescomplemented
156#2491C2212yescomplemented
157#2490C2212yescomplemented
158#2490C2212yescomplemented
159#2490C2212yescomplemented
160#2489C2212yes—
161#2489C2212yescomplemented
162#2489C2212yescomplemented
163#2488C2214yescomplemented
164#2487C2212yescomplemented
165#2486C2212yescomplemented
166#2485C2212yescomplemented
167#2485C2212yescomplemented
168#2481C2214yescomplemented
169#2480C2214yes—
170#2472C2214yes—
171#2456C2214yescomplemented
172#2450C2214yescomplemented
173#2450C2214yescomplemented
174#2448C2212yescomplemented
175#2447C2212yescomplemented
176#2446C2212yescomplemented
177#2445C2212yescomplemented
178#2444C2214yescomplemented
179#2444C2214yescomplemented
180#2443C2214yescomplemented
181#2442C2212yescomplemented
182#2442C2212yescomplemented
183#2439C2212yescomplemented
184#2439C2212yescomplemented
185#2436C2211yescharacteristic
186#2435C2211yescharacteristic
187#2434C2211yescharacteristic
188#2433C2211yescharacteristic
189#2432C2211yescharacteristic
190#2432C2211yescharacteristic
191#2431C2211yescharacteristic
192#2431C2211yescharacteristic
193#2430C2212yes—
194#2430C2214yes—
195#2430C2212yes—
196#2429C2212yescomplemented
197#2428C2212yescomplemented
198#2427C2212yescomplemented
199#2426C2212yescomplemented
200#2425C2214yescomplemented
201#2424C2214yes—
202#2423C2211yescharacteristic
203#2423C2211yescharacteristic, complemented
204#2422C2211yescharacteristic
205#2422C2211yescharacteristic, complemented
206#2421C2211yescharacteristic
207#2421C2211yescharacteristic, complemented
208#2420C2211yescharacteristic
209#2420C2211yescharacteristic, complemented
210#2419C2212yescomplemented
211#2419C2212yescomplemented
212#2418C2214yes—
213#2418C2212yes—
214#2418C2212yes—
215#2417C2212yes—
216#2417C2212yescomplemented
217#2416C2212yescomplemented
218#2416C2214yescomplemented
219#2416C2212yescomplemented
220#2415C2212yescomplemented
221#2415C2212yescomplemented
222#2414C2212yes—
223#2414C2212yescomplemented
224#2410C2212yes—
225#2410C2214yes—
226#2410C2212yes—
227#2409C2212yes—
228#2408C2212yes—
229#2407C2212yes—
230#2407C2212yes—
231#2395C2212yes—
232#2395C2212yescomplemented
233C2×#400C2212yescomplemented
234C2×#397C2212yes—
235#2388C2212yes—
236#2388C2212yes—
237#2367C2212yescomplemented
238#2367C2212yescomplemented
239#2366C2212yescomplemented
240#2365C2212yescomplemented
241#2364C2214yescomplemented
242#2363C2212yescomplemented
243#2362C2212yescomplemented
244#2361C2212yescomplemented
245#2361C2214yescomplemented
246#2360C2212yescomplemented
247#2354C2212yescomplemented
248#2352C2212yescomplemented
249#2352C2212yescomplemented
250D4×C4⋊C4C2212yescomplemented
251#2341C2212yes—
252Q8×C22⋊C4C2212yes—
253#2339C2212yes—
254#2339C2214yes—
255D4×C22⋊C4C2212yes—
256D4×C22⋊C4C2214yes—
257#2337C2214yes—
258#2337C2214yescomplemented
259#2325C2214yescomplemented
260#2324C2212yescomplemented
261#2323C2212yescomplemented
262#2321C2214yes—
263#2318C2214yescomplemented
264#2317C2211yescharacteristic, complemented
265#2311C2211yescharacteristic
266#2311C2211yescharacteristic
267#2311C2211yescharacteristic
268#2311C2212yes—
269#2311C2212yes—
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic, complemented
272#2311C2211yescharacteristic, complemented
273#2311C2211yescharacteristic, complemented
274C4×C22⋊Q8C2212yescomplemented
275C4×#123C2212yes—
276C4×#123C2212yescomplemented
277C4×#121C2214yescomplemented
278C4×#121C2212yescomplemented
279C4×#120C2212yes—
280C4×#120C2212yes—
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2297C2211yescharacteristic, complemented
284#2296C2211yescharacteristic, complemented
285C2×#389C2211yescharacteristic, complemented
286C2×#389C2211yescharacteristic, complemented
287C2×#388C2212yes—
288#2285C2211yescharacteristic, complemented
289C2×#383C2212yescomplemented
290C2×#382C2211yescharacteristic, complemented
291#2280C2211yescharacteristic
292#2280C2212yes—
293C2×#380C2212yes—
294C2×#380C2211yescharacteristic
295C2×#380C2211yescharacteristic
296#2274C2211yescharacteristic, complemented
297C2×C4×C4⋊C4C2211yescharacteristic, complemented
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41—28no—
300C22×#41—44no—
301C22×#41—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2311yescharacteristic
306C22×#41C2312yes—
307C22×#41C2311yescharacteristic
308C22×#41C2312yes—
309C22×#41C2311yescharacteristic
310C23×Q8C2311yescharacteristic
311C23×D4C2311yescharacteristic
312C23×D4C2312yes—
313C24×C4C2311yescharacteristic
314C24×C4C2312yes—
315#544—44no—
316#537—28no—
317#537—44no—
318#537—44no—
319#532—28no—
320#532—44no—
321C2×C4⋊Q8C2311yescharacteristic
322C2×C4⋊Q8C2312yes—
323C2×C4⋊Q8C2312yes—
324C2×C4⋊Q8C2311yescharacteristic
325C2×#127C2311yescharacteristic
326C2×#127C2311yescharacteristic
327C2×#126C2314yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#124C2311yescharacteristic
331C2×#124C2311yescharacteristic
332C2×#124C2314yes—
333C2×#124C2314yes—
334C2×#124C2311yescharacteristic
335C2×#124C2311yescharacteristic
336#525—44no—
337#525—44no—
338C2×#123C2312yes—
339C2×#123C2312yes—
340C2×#123C2312yes—
341C2×#123C2312yes—
342C2×#123C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2311yescharacteristic
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2311yescharacteristic
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2311yescharacteristic
368C2×#121C2311yescharacteristic
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#120C2314yes—
374C2×#120C2312yes—
375C2×#120C2312yes—
376C2×#120C2312yes—
377C2×#120C2312yes—
378#520—44no—
379#520—44no—
380#520—44no—
381C4×#41—44no—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2314yes—
407C2×#117C2311yescharacteristic
408C2×#117C2311yescharacteristic
409C2×#117C2311yescharacteristic
410C2×#117C2311yescharacteristic
411C2×#117C2312yes—
412C2×#117C2312yes—
413C2×#117C2312yes—
414C2×#117C2312yes—
415C22×C4⋊C4C2311yescharacteristic
416C22×C4⋊C4C2311yescharacteristic
417C22×C4⋊C4C2311yescharacteristic
418C22×C4⋊C4C2311yescharacteristic
419C22×C4⋊C4C2312yes—
420C22×C4⋊C4C2312yes—
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2312yes—
423C22×C4⋊C4C2312yes—
424C22×C22⋊C4C2311yescharacteristic
425C22×C22⋊C4C2312yes—
426C22×C22⋊C4C2311yescharacteristic
427C22×C22⋊C4C2314yes—
428C22×C22⋊C4C2312yes—
429C22×C42C2311yescharacteristic
430C22×C42C2311yescharacteristic
431C22×C42C2312yes—
432C22×C42C2312yes—
433#401C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2312yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2312yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#399C2312yes—
451#399C2314yes—
452#399C2312yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2312yes—
461#398C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2312yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2312yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2312yes—
483#397C2312yes—
484#397C2312yes—
485#397C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#395C2312yes—
494#395C2314yes—
495#395C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2312yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2312yes—
512#394C2312yes—
513#394C2314yes—
514#394C2312yes—
515#394C2314yes—
516#394C2312yes—
517#394C2314yes—
518#394C2312yes—
519#394C2312yes—
520#394C2312yes—
521#394C2314yes—
522#394C2312yes—
523#393C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2314yes—
529#393C2312yes—
530#393C2314yes—
531#393C2312yes—
532#392C2312yes—
533#392C2314yes—
534#392C2312yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2312yes—
541#392C2314yes—
542#392C2312yes—
543#392C2312yes—
544#392C2312yes—
545#391C2311yescharacteristic
546#391C2312yes—
547#391C2314yes—
548#391C2312yes—
549#391C2312yes—
550#391C2314yes—
551#391C2312yes—
552#391C2312yes—
553#391C2312yes—
554#391C2312yes—
555#391C2311yescharacteristic
556#391C2314yes—
557#391C2314yes—
558#391C2314yes—
559#391C2314yes—
560#391C2311yescharacteristic
561#391C2311yescharacteristic
562#391C2311yescharacteristic
563#391C2311yescharacteristic
564#390C2311yescharacteristic
565#390C2312yes—
566#390C2314yes—
567#390C2311yescharacteristic
568#390C2314yes—
569#390C2312yes—
570#390C2312yes—
571#390C2314yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2314yes—
578#390C2314yes—
579#390C2314yes—
580#390C2314yes—
581#390C2311yescharacteristic
582#390C2311yescharacteristic
583#390C2311yescharacteristic
584#390C2311yescharacteristic
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2312yes—
592#389C2312yes—
593#389C2314yes—
594#389C2312yes—
595#389C2312yes—
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
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#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2314yes—
639#388C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
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#386C2312yes—
671#386C2314yes—
672#386C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#386C2314yes—
683#386C2314yes—
684#386C2312yes—
685#386C2312yes—
686#386C2314yes—
687#386C2312yes—
688#386C2314yes—
689#386C2312yes—
690#386C2312yes—
691#386C2312yes—
692#386C2312yes—
693#386C2312yes—
694#386C2312yes—
695#386C2312yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2312yes—
705#385C2314yes—
706#385C2314yes—
707#385C2312yes—
708#385C2312yes—
709#385C2312yes—
710#385C2314yes—
711#385C2312yes—
712#385C2312yes—
713#385C2312yes—
714#385C2312yes—
715#385C2312yes—
716#385C2312yes—
717#384C2312yes—
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#383C2314yes—
721#383C2314yes—
722#383C2314yes—
723#383C2314yes—
724#383C2314yes—
725#382C2312yes—
726#382C2312yes—
727#382C2314yes—
728#382C2312yes—
729#382C2314yes—
730#382C2311yescharacteristic
731#382C2311yescharacteristic
732#382C2312yes—
733#382C2312yes—
734#381C2312yes—
735#381C2314yes—
736#381C2312yes—
737#381C2314yes—
738#381C2312yes—
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2312yes—
748#380C2314yes—
749#380C2314yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2312yes—
763#380C2314yes—
764#380C2312yes—
765#380C2314yes—
766#380C2312yes—
767#380C2314yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2311yescharacteristic
773#379C2312yes—
774#379C2314yes—
775#379C2314yes—
776#379C2312yes—
777#379C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C2×#95C2314yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2311yescharacteristic
821C2×#95C2312yes—
822C2×#95C2312yes—
823C2×#95C2311yescharacteristic
824C2×#95C2312yes—
825C25C2411yescharacteristic
826C25C2412yes—
827C2×#41—24no—
828C2×#41—28no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C2×#41—28no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—24no—
840C2×#41—24no—
841C2×#41—24no—
842C2×#41—44no—
843C2×#41—44no—
844C2×#41—44no—
845C2×#41—44no—
846C2×#41—42no—
847C2×#41—42no—
848C2×#41—42no—
849C2×#41—42no—
850C2×#41—464no—
851C2×#41#4118yes—
852C22×Q8—24no—
853C22×Q8—42no—
854C22×Q8—42no—
855C22×Q8C2411yescharacteristic
856C22×Q8C2411yescharacteristic
857C22×Q8C2411yescharacteristic
858C22×Q8C2411yescharacteristic
859C22×Q8C2412yes—
860C22×Q8C2414yes—
861C22×D4—28no—
862C22×D4—24no—
863C22×D4—42no—
864C22×D4—42no—
865C22×D4—44no—
866C22×D4—44no—
867C22×D4C2412yes—
868C22×D4C2412yes—
869C22×D4C2411yescharacteristic
870C22×D4C2411yescharacteristic
871C22×D4C2412yes—
872C22×D4C2411yescharacteristic
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2414yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2414yes—
888C22×D4C2414yes—
889C23×C4—28no—
890C23×C4—24no—
891C23×C4—24no—
892C23×C4—24no—
893C23×C4—44no—
894C23×C4—44no—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2412yes—
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2414yes—
916C23×C4C2414yes—
917C23×C4C2414yes—
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2411yescharacteristic
921C4⋊Q8—24no—
922C4⋊Q8—44no—
923C4⋊Q8—44no—
924C4⋊Q8—42no—
925#127—24no—
926#127—42no—
927#126—84no—
928#125—44no—
929#125—44no—
930#124—24no—
931#124—24no—
932#124—48no—
933#124—42no—
934#124—42no—
935#124—48no—
936#123—44no—
937#123—44no—
938#123—44no—
939#123—44no—
940#123—84no—
941C22⋊Q8—28no—
942C22⋊Q8—28no—
943C22⋊Q8—48no—
944C22⋊Q8—42no—
945C22⋊Q8—42no—
946C22⋊Q8—42no—
947C22⋊Q8—42no—
948C22⋊Q8—44no—
949C22⋊Q8—44no—
950C22⋊Q8—44no—
951C22⋊Q8—44no—
952#121—28no—
953#121—28no—
954#121—28no—
955#121—216no—
956#121—28no—
957#121—42no—
958#121—42no—
959#121—42no—
960#121—42no—
961#121—44no—
962#121—44no—
963#121—44no—
964#121—44no—
965#121—44no—
966#121—44no—
967#121—48no—
968#121—48no—
969#121—84no—
970#121—84no—
971#120—44no—
972#120—44no—
973#120—48no—
974#120—44no—
975#120—44no—
976C4×Q8—42no—
977C4×Q8—42no—
978C4×Q8—44no—
979C4×Q8—44no—
980C4×Q8—44no—
981C4×D4—28no—
982C4×D4—28no—
983C4×D4—48no—
984C4×D4—42no—
985C4×D4—42no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—48no—
998C4×D4—48no—
999C4×D4—48no—
1000C4×D4—84no—
1001#117—24no—
1002#117—24no—
1003#117—24no—
1004#117—24no—
1005#117—44no—
1006#117—44no—
1007#117—44no—
1008#117—44no—
1009C2×C4⋊C4—24no—
1010C2×C4⋊C4—24no—
1011C2×C4⋊C4—24no—
1012C2×C4⋊C4—24no—
1013C2×C4⋊C4—44no—
1014C2×C4⋊C4—44no—
1015C2×C4⋊C4—44no—
1016C2×C4⋊C4—82no—
1017C2×C4⋊C4—82no—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C22⋊C4—42no—
1068C2×C22⋊C4—42no—
1069C2×C22⋊C4—44no—
1070C2×C22⋊C4—82no—
1071C2×C22⋊C4—84no—
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2411yescharacteristic
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2411yescharacteristic
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C42—24no—
1146C2×C42—24no—
1147C2×C42—44no—
1148C2×C42—44no—
1149C2×C42C2412yes—
1150C2×C42C2411yescharacteristic
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2414yes—
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2414yes—
1163C2×C42C2414yes—
1164C2×C42C2414yes—
1165C2×C42C2412yes—
1166C2×C42C2412yes—
1167C2×C42C2414yes—
1168C2×C42C2414yes—
1169C2×C42C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2411yescharacteristic
1173#95C2411yescharacteristic
1174#95C2414yes—
1175#95C2411yescharacteristic
1176#95C2411yescharacteristic
1177#95C2411yescharacteristic
1178#95C2411yescharacteristic
1179#95C2411yescharacteristic
1180#95C2411yescharacteristic
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234C24—22no—
1235C24—24no—
1236C24—22no—
1237C24—22no—
1238C24—22no—
1239C24—24no—
1240C24—41no—
1241C24—41no—
1242C24—42no—
1243C24—42no—
1244C24—42no—
1245C24—41no—
1246C24—42no—
1247C24—42no—
1248C24C2511yescharacteristic
1249C24C2512yes—
1250C24C2512yes—
1251C24C2512yes—
1252C24C2512yes—
1253C24C2511yescharacteristic
1254C24C2511yescharacteristic
1255#41—232no—
1256#41—432no—
1257#41—432no—
1258#41—416no—
1259#41—416no—
1260#41—416no—
1261#41—416no—
1262#41—416no—
1263C2×Q8—22no—
1264C2×Q8—22no—
1265C2×Q8—24no—
1266C2×Q8—22no—
1267C2×Q8—22no—
1268C2×Q8—22no—
1269C2×Q8—22no—
1270C2×Q8—22no—
1271C2×Q8—22no—
1272C2×Q8—22no—
1273C2×Q8—22no—
1274C2×Q8—22no—
1275C2×Q8—42no—
1276C2×Q8—42no—
1277C2×Q8—44no—
1278C2×Q8—44no—
1279C2×Q8—44no—
1280C2×Q8—416no—
1281C2×Q8C2×#4114yes—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—28no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—24no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—24no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—432no—
1347C2×D4—416no—
1348C2×D4C2×#4118yes—
1349C2×D4C2×#4114yes—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—22no—
1353C22×C4—24no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—24no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—22no—
1367C22×C4—24no—
1368C22×C4—22no—
1369C22×C4—24no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—24no—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—24no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—24no—
1381C22×C4—24no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—24no—
1387C22×C4—22no—
1388C22×C4—42no—
1389C22×C4—42no—
1390C22×C4—42no—
1391C22×C4—42no—
1392C22×C4—42no—
1393C22×C4—42no—
1394C22×C4—41no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—42no—
1398C22×C4—42no—
1399C22×C4—42no—
1400C22×C4—41no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—42no—
1404C22×C4—42no—
1405C22×C4—42no—
1406C22×C4—42no—
1407C22×C4—41no—
1408C22×C4—41no—
1409C22×C4—42no—
1410C22×C4—42no—
1411C22×C4—42no—
1412C22×C4—42no—
1413C22×C4—41no—
1414C22×C4—42no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—432no—
1425C22×C4—416no—
1426C22×C4C2×#4118yes—
1427C22×C4C2×#4114yes—
1428C22×C4H(5,𝔽2)14yes—
1429C22×C4H(5,𝔽2)14yes—
1430C22×C4C2511yescharacteristic
1431C22×C4C2511yescharacteristic
1432C22×C4C2512yes—
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C22×C4C2511yescharacteristic
1436C22×C4C2511yescharacteristic
1437C22×C4C2512yes—
1438C22×C4C2514yes—
1439C22×C4C2514yes—
1440C22×C4C2514yes—
1441C22×C4C2512yes—
1442C22×C4C2511yescharacteristic
1443C22×C4C2512yes—
1444C22×C4C2514yes—
1445C22×C4C2512yes—
1446C22×C4C2512yes—
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2512yes—
1450C22×C4C2512yes—
1451C22×C4C2512yes—
1452C22×C4C2512yes—
1453C22×C4C2512yes—
1454C22×C4C2512yes—
1455C22×C4C2511yescharacteristic
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—28no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—24no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—22no—
1472C4⋊C4—22no—
1473C4⋊C4—22no—
1474C4⋊C4—22no—
1475C4⋊C4—22no—
1476C4⋊C4—22no—
1477C4⋊C4—24no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C4⋊C4—44no—
1484C4⋊C4—44no—
1485C4⋊C4—42no—
1486C4⋊C4—44no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—42no—
1492C4⋊C4—42no—
1493C4⋊C4—42no—
1494C4⋊C4—42no—
1495C4⋊C4—42no—
1496C4⋊C4—44no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4—44no—
1501C4⋊C4—44no—
1502C4⋊C4—42no—
1503C4⋊C4—42no—
1504C4⋊C4—42no—
1505C4⋊C4—42no—
1506C4⋊C4—42no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—28no—
1510C22⋊C4—24no—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—24no—
1514C22⋊C4—22no—
1515C22⋊C4—28no—
1516C22⋊C4—22no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—28no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—41no—
1526C22⋊C4—41no—
1527C22⋊C4—44no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—42no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—44no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—42no—
1548C22⋊C4—42no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—42no—
1556C22⋊C4—42no—
1557C22⋊C4—42no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—44no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—44no—
1564C22⋊C4—42no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—42no—
1571C22⋊C4—44no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—42no—
1580C42—22no—
1581C42—22no—
1582C42—22no—
1583C42—22no—
1584C42—22no—
1585C42—22no—
1586C42—22no—
1587C42—22no—
1588C42—24no—
1589C42—24no—
1590C42—24no—
1591C42—24no—
1592C42—28no—
1593C42—44no—
1594C42—42no—
1595C42—42no—
1596C42—44no—
1597C42—44no—
1598C42—44no—
1599C42—44no—
1600C42—44no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—22no—
1609C23—22no—
1610C23—21no—
1611C23—22no—
1612C23—22no—
1613C23—21no—
1614C23—22no—
1615C23—22no—
1616C23—21no—
1617C23—22no—
1618C23—22no—
1619C23—21no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—22no—
1624C23—22no—
1625C23—21no—
1626C23—21no—
1627C23—22no—
1628C23—22no—
1629C23—21no—
1630C23—22no—
1631C23—22no—
1632C23—21no—
1633C23—22no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—21no—
1639C23—22no—
1640C23—22no—
1641C23—22no—
1642C23—21no—
1643C23—22no—
1644C23—22no—
1645C23—44no—
1646C23—44no—
1647C23—44no—
1648C23—48no—
1649C23—48no—
1650C23—44no—
1651C23—82no—
1652C23—82no—
1653C23—82no—
1654C23—84no—
1655C23—84no—
1656C23—84no—
1657C23—84no—
1658C23—84no—
1659C23C22×#4114yes—
1660C23C22×#4112yes—
1661C23C2×H(5,𝔽2)12yes—
1662C23C2×H(5,𝔽2)12yes—
1663C23#58512yes—
1664C23C2611yescharacteristic
1665Q8—28no—
1666Q8—48no—
1667Q8—44no—
1668Q8—44no—
1669Q8—44no—
1670Q8—164no—
1671D4—216no—
1672D4—28no—
1673D4—48no—
1674D4—48no—
1675D4—48no—
1676D4—48no—
1677D4—48no—
1678D4—48no—
1679D4—48no—
1680D4—44no—
1681D4—44no—
1682D4—44no—
1683D4—88no—
1684D4—84no—
1685D4—84no—
1686D4—84no—
1687D4—84no—
1688D4—84no—
1689D4—84no—
1690D4—84no—
1691D4—164no—
1692D4—164no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—216no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—24no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—24no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—24no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—24no—
1733C2×C4—24no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—24no—
1738C2×C4—21no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—24no—
1745C2×C4—22no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—24no—
1754C2×C4—22no—
1755C2×C4—24no—
1756C2×C4—24no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—21no—
1767C2×C4—24no—
1768C2×C4—22no—
1769C2×C4—21no—
1770C2×C4—44no—
1771C2×C4—48no—
1772C2×C4—48no—
1773C2×C4—48no—
1774C2×C4—44no—
1775C2×C4—44no—
1776C2×C4—44no—
1777C2×C4—44no—
1778C2×C4—44no—
1779C2×C4—48no—
1780C2×C4—48no—
1781C2×C4—48no—
1782C2×C4—82no—
1783C2×C4—84no—
1784C2×C4—84no—
1785C2×C4—84no—
1786C2×C4—82no—
1787C2×C4—82no—
1788C2×C4—84no—
1789C2×C4—84no—
1790C2×C4—84no—
1791C2×C4—164no—
1792C2×C4—164no—
1793C2×C4—164no—
1794C2×C4#538116yes—
1795C2×C4C22×#4114yes—
1796C2×C4C22×#4112yes—
1797C2×C4C22×#4112yes—
1798C2×C4C2×H(5,𝔽2)12yes—
1799C2×C4C2×H(5,𝔽2)12yes—
1800C2×C4C2×H(5,𝔽2)12yes—
1801C2×C4C2×H(5,𝔽2)12yes—
1802C2×C4#58512yes—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—22no—
1807C22—22no—
1808C22—22no—
1809C22—24no—
1810C22—24no—
1811C22—22no—
1812C22—22no—
1813C22—24no—
1814C22—22no—
1815C22—41no—
1816C22—42no—
1817C22—42no—
1818C22—41no—
1819C22—41no—
1820C22—42no—
1821C22—42no—
1822C22—41no—
1823C22—42no—
1824C22—42no—
1825C22—41no—
1826C22—42no—
1827C22—42no—
1828C22—42no—
1829C22—41no—
1830C22—42no—
1831C22—42no—
1832C22—42no—
1833C22—42no—
1834C22—41no—
1835C22—41no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—41no—
1841C22—42no—
1842C22—42no—
1843C22—42no—
1844C22—42no—
1845C22—42no—
1846C22—41no—
1847C22—42no—
1848C22—42no—
1849C22—41no—
1850C22—42no—
1851C22—88no—
1852C22—816no—
1853C22C2×#53814yes—
1854C22C23×#4111yescharacteristic
1855C22C22×H(5,𝔽2)11yescharacteristic
1856C22C22×H(5,𝔽2)11yescharacteristic
1857C22C2×#58511yescharacteristic
1858C22C2×#58511yescharacteristic
1859C22H(7,𝔽2)11yescharacteristic
1860C222−1+611yescharacteristic
1861C4—22no—
1862C4—24no—
1863C4—41no—
1864C4—41no—
1865C4—44no—
1866C4—41no—
1867C4—44no—
1868C4—42no—
1869C4—42no—
1870C4—44no—
1871C4—42no—
1872C4—42no—
1873C4—41no—
1874C4—41no—
1875C4—42no—
1876C4—42no—
1877C4—42no—
1878C4—42no—
1879C4—41no—
1880C4—41no—
1881C4—42no—
1882C4—41no—
1883C4—42no—
1884C4—44no—
1885C4—41no—
1886C4—42no—
1887C4C2×#53814yes—
1888C4C2×#53814yes—
1889C2—24no—
1890C2—44no—
1891C2—42no—
1892C2—82no—
1893C2—82no—
1894C2—82no—
1895C2—81no—
1896C2C22×#53811yescharacteristic
1897C2#6283011yescharacteristic
1898C2#6287811yescharacteristic
1899C2#6292711yescharacteristic
1900C2#6293011yescharacteristic
1901C2#6299311yescharacteristic
1902C2#6300811yescharacteristic
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. #42993C2semidirect
2. #42945C2semidirect
3. #42892C2semidirect
4. #42866C2semidirect
5. #42767C2semidirect
6. #42654C2semidirect
7. #42532C2semidirect
8. #42447C2semidirect
9. #40790C2semidirect
10. #40701C2semidirect
11. #40218C2semidirect
12. #40169C2semidirect
13. #39934C2semidirect
14. #39908C2semidirect
15. #39733C2semidirect
16. #39238C2semidirect
17. #38997C2semidirect
18. #38928C2semidirect
19. #38577C2semidirect
20. #37912C2semidirect
21. #35620C2semidirect
22. #35564C2semidirect
23. #35545C2semidirect
24. #35542C2semidirect
25. #35518C2semidirect
26. #35517C2semidirect
27. #35328C2semidirect
28. #35251C2semidirect
29. #35158C2semidirect
30. C2×#2495C2semidirect
31. #34742C2semidirect
32. #34738C2semidirect
33. #34267C2semidirect
34. #34206C2semidirect
35. #34175C2semidirect
37. C2×#544C22semidirect
40. C2×#537C22semidirect
47. C2×#520C22semidirect
48. C2×C4×#41C22semidirect
49. #2850C22semidirect
50. #2850C22semidirect
51. #2850C22semidirect
54. #2831C22semidirect
55. #2829C22semidirect
56. #2824C22semidirect
57. #2824C22semidirect
58. #2808C22semidirect
59. #2804C22semidirect
60. #2803C22semidirect
62. #2779C22semidirect
64. #2775C22semidirect
65. #2774C22semidirect
66. #2770C22semidirect
68. #2764C22semidirect
69. #2759C22semidirect
70. #2756C22semidirect
71. #2756C22semidirect
72. #2756C22semidirect
73. #2753C22semidirect
74. #2751C22semidirect
76. #2750C22semidirect
77. #2750C22semidirect
78. #2749C22semidirect
79. #2749C22semidirect
80. #2741C22semidirect
82. #2714C22semidirect
83. #2710C22semidirect
84. #2703C22semidirect
86. #2695C22semidirect
87. #2688C22semidirect
90. #2666C22semidirect
91. #2661C22semidirect
92. #2653C22semidirect
94. #2650C22semidirect
95. #2648C22semidirect
96. #2648C22semidirect
97. #2648C22semidirect
98. #2646C22semidirect
99. #2639C22semidirect
100. #2636C22semidirect
101. #2631C22semidirect
102. #2621C22semidirect
103. #2619C22semidirect
108. #2593C22semidirect
109. #2589C22semidirect
110. #2578C22semidirect
111. #2572C22semidirect
112. #2568C22semidirect
113. #2566C22semidirect
114. #2565C22semidirect
115. #2563C22semidirect
116. #2563C22semidirect
118. #2562C22semidirect
121. #2543C22semidirect
122. #2543C22semidirect
123. #2543C22semidirect
125. #2537C22semidirect
126. #2536C22semidirect
127. #2536C22semidirect
128. #2536C22semidirect
130. #2535C22semidirect
131. #2535C22semidirect
132. #2518C22semidirect
133. #2514C22semidirect
134. #2513C22semidirect
135. #2512C22semidirect
136. #2511C22semidirect
137. #2510C22semidirect
138. #2510C22semidirect
139. #2497C22semidirect
140. #2496C22semidirect
145. #2495C22semidirect
146. #2495C22semidirect
147. #2495C22semidirect
148. #2495C22semidirect
149. #2495C22semidirect
150. #2494C22semidirect
151. #2492C22semidirect
152. #2492C22semidirect
153. #2492C22semidirect
155. #2491C22semidirect
156. #2491C22semidirect
157. #2490C22semidirect
158. #2490C22semidirect
159. #2490C22semidirect
161. #2489C22semidirect
162. #2489C22semidirect
163. #2488C22semidirect
164. #2487C22semidirect
165. #2486C22semidirect
166. #2485C22semidirect
167. #2485C22semidirect
168. #2481C22semidirect
171. #2456C22semidirect
172. #2450C22semidirect
173. #2450C22semidirect
174. #2448C22semidirect
175. #2447C22semidirect
176. #2446C22semidirect
177. #2445C22semidirect
178. #2444C22semidirect
179. #2444C22semidirect
180. #2443C22semidirect
181. #2442C22semidirect
182. #2442C22semidirect
183. #2439C22semidirect
184. #2439C22semidirect
196. #2429C22semidirect
197. #2428C22semidirect
198. #2427C22semidirect
199. #2426C22semidirect
200. #2425C22semidirect
203. #2423C22semidirect
205. #2422C22semidirect
207. #2421C22semidirect
209. #2420C22semidirect
210. #2419C22semidirect
211. #2419C22semidirect
216. #2417C22semidirect
217. #2416C22semidirect
218. #2416C22semidirect
219. #2416C22semidirect
220. #2415C22semidirect
221. #2415C22semidirect
223. #2414C22semidirect
232. #2395C22semidirect
233. C2×#400C22semidirect
237. #2367C22semidirect
238. #2367C22semidirect
239. #2366C22semidirect
240. #2365C22semidirect
241. #2364C22semidirect
242. #2363C22semidirect
243. #2362C22semidirect
244. #2361C22semidirect
245. #2361C22semidirect
246. #2360C22semidirect
247. #2354C22semidirect
248. #2352C22semidirect
249. #2352C22semidirect
250. D4×C4⋊C4C22semidirect
258. #2337C22semidirect
259. #2325C22semidirect
260. #2324C22semidirect
261. #2323C22semidirect
263. #2318C22semidirect
264. #2317C22semidirect
271. #2311C22semidirect
272. #2311C22semidirect
273. #2311C22semidirect
274. C4×C22⋊Q8C22semidirect
276. C4×#123C22semidirect
277. C4×#121C22semidirect
278. C4×#121C22semidirect
283. #2297C22semidirect
284. #2296C22semidirect
285. C2×#389C22semidirect
286. C2×#389C22semidirect
288. #2285C22semidirect
289. C2×#383C22semidirect
290. C2×#382C22semidirect
296. #2274C22semidirect
297. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#429932
#429452
#428922
#428662
#427672
#426542
#425322
#424472
#407902
#407012
#402182
#401692
#399342
#399082
#397332
#392382
#389972
#389282
#385772
#379122
#356202
#355642
#355452
#355422
#355182
#355172
#353282
#352512
#351582
C2×#24952
#347422
#347382
#342672
#342062
#341752