Finite Group Databasebeta

← #7650835

Subgroups — #7650835

Order 512.

4639 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42775C212yesmaximal, complemented
2#42770C212yesmaximal, complemented
3#42725C212yesmaximal, complemented
4#42722C212yesmaximal, complemented
5#42713C212yesmaximal, complemented
6#42711C212yesmaximal, complemented
7#42637C212yesmaximal, complemented
8#42632C212yesmaximal, complemented
9#41431C214yesmaximal, complemented
10#41430C214yesmaximal, complemented
11#40199C212yesmaximal, complemented
12#40106C212yesmaximal, complemented
13#40083C212yesmaximal, complemented
14#40071C212yesmaximal, complemented
15#39792C212yesmaximal, complemented
16#39216C212yesmaximal, complemented
17#39029C212yesmaximal, complemented
18#39026C212yesmaximal, complemented
19#38463C214yesmaximal, complemented
20#37884C214yesmaximal, complemented
21#35673C211yesmaximal, characteristic, complemented
22#35662C211yesmaximal, characteristic, complemented
23#35639C211yesmaximal, characteristic, complemented
24#35633C211yesmaximal, characteristic
25#35628C211yesmaximal, characteristic, complemented
26#35544C211yesmaximal, characteristic, complemented
27#35313C211yesmaximal, characteristic, complemented
28#35263C211yesmaximal, characteristic
29#35173C211yesmaximal, characteristic, complemented
30#34813C211yesmaximal, characteristic
31C2×#2489C211yesmaximal, characteristic, complemented
32#34739C211yesmaximal, characteristic, complemented
33#34252C211yesmaximal, characteristic, complemented
34#34217C211yesmaximal, characteristic, complemented
35#34203C211yesmaximal, characteristic, complemented
36C2×#536C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×#125C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#519C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2863C2212yescomplemented
46#2863C2212yescomplemented
47#2857C2214yes—
48#2855C2212yes—
49#2854C2212yes—
50#2839C2214yescomplemented
51#2838C2214yes—
52#2838C2214yescomplemented
53#2837C2214yes—
54#2801C2214yes—
55#2793C2214yes—
56#2775C2214yes—
57#2774C2214yescomplemented
58#2773C2214yescomplemented
59#2773C2214yescomplemented
60#2772C2214yes—
61#2772C2214yes—
62#2770C2214yes—
63#2767C2214yescomplemented
64#2767C2214yescomplemented
65#2767C2214yescomplemented
66#2766C2214yescomplemented
67#2762C2214yescomplemented
68#2762C2214yescomplemented
69#2758C2214yescomplemented
70#2757C2214yes—
71#2754C2214yescomplemented
72#2754C2214yescomplemented
73#2747C2214yescomplemented
74#2746C2214yes—
75#2745C2214yescomplemented
76#2742C2214yescomplemented
77#2741C2214yes—
78#2739C2214yes—
79#2738C2214yescomplemented
80#2737C2214yes—
81#2731C2214yes—
82#2729C2214yes—
83#2718C2214yes—
84#2717C2214yes—
85#2698C2214yes—
86#2666C2214yescomplemented
87#2663C2214yes—
88#2659C2214yes—
89#2655C2214yescomplemented
90#2654C2214yes—
91#2654C2214yescomplemented
92#2652C2214yes—
93#2651C2214yes—
94#2650C2214yes—
95#2650C2214yescomplemented
96#2649C2214yes—
97#2647C2214yescomplemented
98#2645C2212yescomplemented
99#2645C2212yescomplemented
100#2628C2214yescomplemented
101#2625C2212yes—
102#2624C2212yes—
103#2592C2212yescomplemented
104#2592C2212yescomplemented
105#2584C2212yescomplemented
106#2584C2212yescomplemented
107#2584C2212yescomplemented
108#2584C2212yescomplemented
109#2582C2212yescomplemented
110#2582C2212yescomplemented
111#2581C2212yescomplemented
112#2581C2212yescomplemented
113#2579C2214yes—
114#2568C2212yescomplemented
115#2568C2212yescomplemented
116#2567C2212yescomplemented
117#2567C2212yescomplemented
118#2546C2212yescomplemented
119#2546C2212yescomplemented
120#2534C2214yes—
121#2532C2214yes—
122#2527C2214yes—
123#2525C2214yescomplemented
124#2521C2214yes—
125#2520C2214yescomplemented
126#2515C2214yes—
127#2514C2212yescomplemented
128#2514C2212yescomplemented
129#2511C2212yescomplemented
130#2511C2212yescomplemented
131#2509C2214yescomplemented
132#2508C2214yescomplemented
133#2498C2214yes—
134#2498C2214yes—
135#2498C2214yes—
136#2497C2212yes—
137#2497C2212yes—
138#2496C2212yes—
139#2496C2212yes—
140#2495C2212yes—
141#2495C2212yes—
142#2495C2214yescomplemented
143#2494C2212yes—
144#2494C2212yes—
145#2494C2214yescomplemented
146#2493C2214yes—
147#2493C2214yes—
148#2493C2214yes—
149#2492C2211yescharacteristic
150#2492C2211yescharacteristic
151#2492C2212yescomplemented
152#2492C2212yescomplemented
153#2491C2211yescharacteristic
154#2491C2211yescharacteristic
155#2490C2211yescharacteristic
156#2490C2211yescharacteristic
157#2489C2211yescharacteristic
158#2489C2212yes—
159#2489C2212yes—
160#2489C2212yes—
161#2489C2212yes—
162#2489C2212yes—
163#2489C2212yes—
164#2489C2212yes—
165#2489C2212yes—
166#2489C2211yescharacteristic
167#2489C2212yescomplemented
168#2489C2212yescomplemented
169#2488C2214yes—
170#2488C2214yes—
171#2488C2212yes—
172#2488C2212yes—
173#2487C2212yes—
174#2487C2214yes—
175#2486C2212yes—
176#2486C2214yes—
177#2485C2212yes—
178#2485C2212yes—
179#2480C2214yes—
180#2477C2214yes—
181#2474C2214yes—
182#2472C2212yes—
183#2472C2212yes—
184#2454C2212yescomplemented
185#2454C2212yescomplemented
186#2453C2212yescomplemented
187#2453C2212yescomplemented
188#2453C2212yescomplemented
189#2453C2212yescomplemented
190#2451C2212yescomplemented
191#2451C2212yescomplemented
192#2448C2212yescomplemented
193#2448C2212yescomplemented
194#2446C2212yescomplemented
195#2446C2212yescomplemented
196#2442C2211yescharacteristic
197#2442C2211yescharacteristic
198#2442C2212yescomplemented
199#2442C2212yescomplemented
200#2441C2211yescharacteristic
201#2441C2211yescharacteristic
202#2441C2212yescomplemented
203#2441C2212yescomplemented
204#2440C2211yescharacteristic
205#2440C2211yescharacteristic
206#2439C2211yescharacteristic
207#2439C2211yescharacteristic
208#2438C2214yes—
209#2438C2214yes—
210#2438C2212yes—
211#2438C2212yes—
212#2437C2212yes—
213#2437C2212yes—
214#2429C2212yes—
215#2429C2212yes—
216#2427C2212yes—
217#2427C2212yes—
218#2423C2212yescomplemented
219#2423C2212yescomplemented
220#2421C2212yescomplemented
221#2421C2212yescomplemented
222#2417C2212yes—
223#2417C2212yes—
224#2415C2212yes—
225#2415C2212yes—
226#2412C2214yes—
227#2398C2212yes—
228#2398C2212yes—
229#2396C2212yes—
230#2396C2212yes—
231C2×#400C2212yes—
232C2×#397C2212yes—
233#2370C2212yescomplemented
234#2370C2212yescomplemented
235#2370C2212yescomplemented
236#2370C2212yescomplemented
237#2362C2212yes—
238#2362C2212yes—
239#2360C2212yes—
240#2360C2212yes—
241#2357C2212yescomplemented
242#2356C2212yescomplemented
243#2355C2212yescomplemented
244#2354C2212yescomplemented
245#2347C2212yescomplemented
246#2346C2212yescomplemented
247#2345C2214yes—
248#2345C2214yes—
249#2345C2212yescomplemented
250#2344C2214yes—
251#2344C2212yescomplemented
252#2342C2214yes—
253#2335C2214yes—
254#2334C2214yes—
255#2331C2214yescomplemented
256#2330C2212yescomplemented
257#2330C2212yescomplemented
258#2323C2212yes—
259#2323C2212yes—
260#2318C2214yes—
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2316C2211yescharacteristic
264#2316C2211yescharacteristic
265#2316C2211yescharacteristic
266#2316C2211yescharacteristic
267#2316C2211yescharacteristic
268#2314C2214yescomplemented
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2310C2211yescharacteristic
272#2310C2211yescharacteristic
273C4×#125C2212yescomplemented
274C4×#125C2212yescomplemented
275C4×#124C2212yes—
276C4×#124C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2212yes—
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285C2×#391C2211yescharacteristic
286C2×#391C2211yescharacteristic
287#2290C2214yes—
288C2×#388C2212yes—
289#2285C2211yescharacteristic
290C2×#382C2212yes—
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293C2×#380C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C24×C4C2311yescharacteristic
302#536—44no—
303#533—44no—
304#533—44no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2314yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×#126C2314yes—
312C2×#125—28no—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2311yescharacteristic
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324#525—44no—
325C2×#123C2314yes—
326C2×#123C2312yes—
327C2×#123C2314yes—
328C2×C22⋊Q8—28no—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#120C2312yes—
346#520—28no—
347#519—44no—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×#117—44no—
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2312yes—
370C2×#117C2314yes—
371C2×#117C2312yes—
372C2×#117C2314yes—
373C2×#117C2312yes—
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2311yescharacteristic
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2311yescharacteristic
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2311yescharacteristic
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392C22×C42C2312yes—
393C22×C42C2312yes—
394#401C2314yes—
395#401C2314yes—
396#401C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2312yes—
423#400C2312yes—
424#400C2312yes—
425#400C2312yes—
426#400C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2312yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2312yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2312yes—
450#398C2312yes—
451#398C2312yes—
452#398C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2312yes—
470#397C2312yes—
471#397C2314yes—
472#397C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2312yes—
476#396C2314yes—
477#396C2314yes—
478#396C2312yes—
479#396C2312yes—
480#396C2312yes—
481#396C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2312yes—
489#395C2312yes—
490#394C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2312yes—
496#394C2312yes—
497#394C2314yes—
498#393C2312yes—
499#393C2314yes—
500#393C2314yes—
501#393C2312yes—
502#393C2312yes—
503#393C2312yes—
504#393C2312yes—
505#393C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2314yes—
517#391C2314yes—
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#391C2314yes—
521#391C2312yes—
522#391C2312yes—
523#391C2314yes—
524#391C2312yes—
525#391C2312yes—
526#391C2314yes—
527#391C2314yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2311yescharacteristic
535#391C2311yescharacteristic
536#391C2312yes—
537#391C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2311yescharacteristic
542#390C2311yescharacteristic
543#390C2312yes—
544#390C2311yescharacteristic
545#390C2311yescharacteristic
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2314yes—
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2314yes—
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2314yes—
593#389C2314yes—
594#389C2312yes—
595#389C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2312yes—
628#388C2314yes—
629#388C2312yes—
630#388C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
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#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2312yes—
695#385C2312yes—
696#384C2314yes—
697#384C2312yes—
698#384C2312yes—
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#383C2314yes—
702#383C2314yes—
703#383C2314yes—
704#383C2314yes—
705#382C2311yescharacteristic
706#382C2311yescharacteristic
707#382C2314yes—
708#382C2314yes—
709#382C2314yes—
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#382C2314yes—
714#382C2312yes—
715#382C2312yes—
716#382C2314yes—
717#382C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#381C2314yes—
722#381C2312yes—
723#381C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2314yes—
744#380C2314yes—
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#379C2312yes—
755#379C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808#376C2312yes—
809#376C2314yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2311yescharacteristic
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C2×#95C2312yes—
818C43C2312yes—
819C25C2411yescharacteristic
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C22×Q8—24no—
824C22×Q8—24no—
825C22×Q8—24no—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C23×C4—24no—
838C23×C4—24no—
839C23×C4—24no—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2414yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C4⋊Q8—42no—
859C4⋊Q8—42no—
860C4⋊Q8—42no—
861C4⋊Q8—42no—
862C4⋊Q8—48no—
863C4⋊Q8—44no—
864#126—48no—
865#125—28no—
866#125—28no—
867#125—28no—
868#125—28no—
869#125—42no—
870#125—42no—
871#125—42no—
872#125—42no—
873#124—44no—
874#124—44no—
875#124—44no—
876#123—48no—
877#123—44no—
878#123—48no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—28no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887C22⋊Q8—44no—
888C22⋊Q8—44no—
889C22⋊Q8—42no—
890C22⋊Q8—42no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893#121—42no—
894#121—42no—
895#120—44no—
896C4×Q8—28no—
897C4×Q8—44no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×D4—216no—
906C4×D4—28no—
907C4×D4—44no—
908C4×D4—44no—
909#117—24no—
910#117—24no—
911#117—24no—
912#117—24no—
913#117—24no—
914#117—24no—
915#117—24no—
916#117—28no—
917#117—44no—
918#117—48no—
919#117—44no—
920#117—48no—
921#117—42no—
922#117—42no—
923C2×C4⋊C4—28no—
924C2×C4⋊C4—28no—
925C2×C4⋊C4—28no—
926C2×C4⋊C4—24no—
927C2×C4⋊C4—24no—
928C2×C4⋊C4—28no—
929C2×C4⋊C4—42no—
930C2×C4⋊C4—42no—
931C2×C4⋊C4#4118yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C22⋊C4—28no—
1006C2×C22⋊C4—42no—
1007C2×C22⋊C4—42no—
1008C2×C22⋊C4—44no—
1009C2×C22⋊C4—44no—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C42—24no—
1059C2×C42—24no—
1060C2×C42—44no—
1061C2×C42—44no—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2414yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2414yes—
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
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#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174C24—22no—
1175C24—22no—
1176C24—22no—
1177C24—22no—
1178C24—41no—
1179C24—41no—
1180C24—41no—
1181C24C2511yescharacteristic
1182C24C2512yes—
1183C24C2511yescharacteristic
1184C24C2511yescharacteristic
1185#41—416no—
1186C2×Q8—22no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—24no—
1193C2×Q8—24no—
1194C2×Q8—22no—
1195C2×Q8—24no—
1196C2×Q8—24no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×Q8—42no—
1201C2×Q8—42no—
1202C2×Q8—42no—
1203C2×Q8—42no—
1204C2×Q8—42no—
1205C2×Q8—42no—
1206C2×Q8—42no—
1207C2×Q8—416no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—22no—
1249C22×C4—28no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—41no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—42no—
1259C22×C4—41no—
1260C22×C4—42no—
1261C22×C4—44no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—41no—
1270C22×C4—416no—
1271C22×C4C2×#4118yes—
1272C22×C4C2×#4114yes—
1273C22×C4H(5,𝔽2)14yes—
1274C22×C42−1+414yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2514yes—
1278C22×C4C2514yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2514yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2514yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C4⋊C4—22no—
1307C4⋊C4—28no—
1308C4⋊C4—28no—
1309C4⋊C4—28no—
1310C4⋊C4—28no—
1311C4⋊C4—28no—
1312C4⋊C4—28no—
1313C4⋊C4—28no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4C2×#4118yes—
1378C4⋊C4C2×#4118yes—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—22no—
1387C22⋊C4—28no—
1388C22⋊C4—22no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—28no—
1392C22⋊C4—28no—
1393C22⋊C4—28no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—24no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—44no—
1401C22⋊C4—41no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—28no—
1432C42—24no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—24no—
1438C42—24no—
1439C42—24no—
1440C42—24no—
1441C42—24no—
1442C42—24no—
1443C42—28no—
1444C42—44no—
1445C42—42no—
1446C42—42no—
1447C42—44no—
1448C42—44no—
1449C42—42no—
1450C42—42no—
1451C42—44no—
1452C42—44no—
1453C42—44no—
1454C42—42no—
1455C42—42no—
1456C42—44no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—22no—
1469C23—21no—
1470C23—22no—
1471C23—21no—
1472C23—22no—
1473C23—22no—
1474C23—21no—
1475C23—22no—
1476C23—21no—
1477C23—22no—
1478C23—21no—
1479C23—22no—
1480C23—21no—
1481C23—44no—
1482C23—44no—
1483C23—44no—
1484C23—44no—
1485C23—82no—
1486C23—82no—
1487C23—82no—
1488C23C22×#4112yes—
1489C23C2×H(5,𝔽2)12yes—
1490C23C2×2−1+412yes—
1491C23#58512yes—
1492C23C2611yescharacteristic
1493Q8—48no—
1494Q8—48no—
1495Q8—44no—
1496Q8—84no—
1497Q8—84no—
1498Q8—84no—
1499Q8—84no—
1500D4—48no—
1501D4—44no—
1502D4—84no—
1503D4—84no—
1504C2×C4—21no—
1505C2×C4—24no—
1506C2×C4—24no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—24no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—24no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—24no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—24no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—48no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—48no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—44no—
1596C2×C4—44no—
1597C2×C4—48no—
1598C2×C4—88no—
1599C2×C4—82no—
1600C2×C4—82no—
1601C2×C4—84no—
1602C2×C4—84no—
1603C2×C4—84no—
1604C2×C4—82no—
1605C2×C4—84no—
1606C2×C4#542116yes—
1607C2×C4C22×#4118yes—
1608C2×C4C22×#4112yes—
1609C2×C4C22×#4112yes—
1610C2×C4C2×H(5,𝔽2)12yes—
1611C2×C4C2×H(5,𝔽2)12yes—
1612C2×C4C2×2−1+412yes—
1613C2×C4C2×2−1+412yes—
1614C2×C4#58512yes—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—42no—
1629C22—41no—
1630C22—42no—
1631C22—41no—
1632C22—42no—
1633C22—41no—
1634C22—42no—
1635C22—41no—
1636C22—41no—
1637C22—42no—
1638C22—42no—
1639C22—41no—
1640C22—41no—
1641C22—42no—
1642C22—88no—
1643C22C2×#54214yes—
1644C22C23×#4111yescharacteristic
1645C22C22×H(5,𝔽2)11yescharacteristic
1646C22C22×2−1+411yescharacteristic
1647C22C2×#58511yescharacteristic
1648C22C2×#58511yescharacteristic
1649C222−1+611yescharacteristic
1650C222−1+611yescharacteristic
1651C4—28no—
1652C4—22no—
1653C4—41no—
1654C4—41no—
1655C4—42no—
1656C4—42no—
1657C4—41no—
1658C4—41no—
1659C4—44no—
1660C4—42no—
1661C4—44no—
1662C4—42no—
1663C4—41no—
1664C4—42no—
1665C4—42no—
1666C4—42no—
1667C4—42no—
1668C4—41no—
1669C4—41no—
1670C4—42no—
1671C4—42no—
1672C4—42no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4—41no—
1677C4—41no—
1678C4—42no—
1679C4—44no—
1680C4C2×#54214yes—
1681C4C2×#54214yes—
1682C2—24no—
1683C2—42no—
1684C2—82no—
1685C2—81no—
1686C2C22×#54211yescharacteristic
1687C2#6283111yescharacteristic
1688C2#6288911yescharacteristic
1689C2#6292711yescharacteristic
1690C2#6292711yescharacteristic
1691C2#6299111yescharacteristic
1692C2#6300511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42775C2semidirect
2. #42770C2semidirect
3. #42725C2semidirect
4. #42722C2semidirect
5. #42713C2semidirect
6. #42711C2semidirect
7. #42637C2semidirect
8. #42632C2semidirect
9. #41431C2semidirect
10. #41430C2semidirect
11. #40199C2semidirect
12. #40106C2semidirect
13. #40083C2semidirect
14. #40071C2semidirect
15. #39792C2semidirect
16. #39216C2semidirect
17. #39029C2semidirect
18. #39026C2semidirect
19. #38463C2semidirect
20. #37884C2semidirect
21. #35673C2semidirect
22. #35662C2semidirect
23. #35639C2semidirect
25. #35628C2semidirect
26. #35544C2semidirect
27. #35313C2semidirect
29. #35173C2semidirect
31. C2×#2489C2semidirect
32. #34739C2semidirect
33. #34252C2semidirect
34. #34217C2semidirect
35. #34203C2semidirect
45. #2863C22semidirect
46. #2863C22semidirect
50. #2839C22semidirect
52. #2838C22semidirect
57. #2774C22semidirect
58. #2773C22semidirect
59. #2773C22semidirect
63. #2767C22semidirect
64. #2767C22semidirect
65. #2767C22semidirect
66. #2766C22semidirect
67. #2762C22semidirect
68. #2762C22semidirect
69. #2758C22semidirect
71. #2754C22semidirect
72. #2754C22semidirect
73. #2747C22semidirect
75. #2745C22semidirect
76. #2742C22semidirect
79. #2738C22semidirect
86. #2666C22semidirect
89. #2655C22semidirect
91. #2654C22semidirect
95. #2650C22semidirect
97. #2647C22semidirect
98. #2645C22semidirect
99. #2645C22semidirect
100. #2628C22semidirect
103. #2592C22semidirect
104. #2592C22semidirect
105. #2584C22semidirect
106. #2584C22semidirect
107. #2584C22semidirect
108. #2584C22semidirect
109. #2582C22semidirect
110. #2582C22semidirect
111. #2581C22semidirect
112. #2581C22semidirect
114. #2568C22semidirect
115. #2568C22semidirect
116. #2567C22semidirect
117. #2567C22semidirect
118. #2546C22semidirect
119. #2546C22semidirect
123. #2525C22semidirect
125. #2520C22semidirect
127. #2514C22semidirect
128. #2514C22semidirect
129. #2511C22semidirect
130. #2511C22semidirect
131. #2509C22semidirect
132. #2508C22semidirect
142. #2495C22semidirect
145. #2494C22semidirect
151. #2492C22semidirect
152. #2492C22semidirect
167. #2489C22semidirect
168. #2489C22semidirect
184. #2454C22semidirect
185. #2454C22semidirect
186. #2453C22semidirect
187. #2453C22semidirect
188. #2453C22semidirect
189. #2453C22semidirect
190. #2451C22semidirect
191. #2451C22semidirect
192. #2448C22semidirect
193. #2448C22semidirect
194. #2446C22semidirect
195. #2446C22semidirect
198. #2442C22semidirect
199. #2442C22semidirect
202. #2441C22semidirect
203. #2441C22semidirect
218. #2423C22semidirect
219. #2423C22semidirect
220. #2421C22semidirect
221. #2421C22semidirect
233. #2370C22semidirect
234. #2370C22semidirect
235. #2370C22semidirect
236. #2370C22semidirect
241. #2357C22semidirect
242. #2356C22semidirect
243. #2355C22semidirect
244. #2354C22semidirect
245. #2347C22semidirect
246. #2346C22semidirect
249. #2345C22semidirect
251. #2344C22semidirect
255. #2331C22semidirect
256. #2330C22semidirect
257. #2330C22semidirect
268. #2314C22semidirect
273. C4×#125C22semidirect
274. C4×#125C22semidirect

Maximal subgroups

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

subgroupindex
#427752
#427702
#427252
#427222
#427132
#427112
#426372
#426322
#414312
#414302
#401992
#401062
#400832
#400712
#397922
#392162
#390292
#390262
#384632
#378842
#356732
#356622
#356392
#356332
#356282
#355442
#353132
#352632
#351732
#348132
C2×#24892
#347392
#342522
#342172
#342032