Finite Group Databasebeta

← #7650804

Subgroups — #7650804

Order 512.

5654 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42961C212yesmaximal, complemented
2#42940C212yesmaximal, complemented
3#42874C212yesmaximal, complemented
4#42843C212yesmaximal, complemented
5#42602C212yesmaximal, complemented
6#42547C212yesmaximal, complemented
7#42520C212yesmaximal, complemented
8#42518C212yesmaximal, complemented
9#41468C214yesmaximal, complemented
10#40689C214yesmaximal, complemented
11#40194C212yesmaximal, complemented
12#40145C212yesmaximal, complemented
13#40033C212yesmaximal, complemented
14#40030C212yesmaximal, complemented
15#39768C212yesmaximal, complemented
16#39238C212yesmaximal, complemented
17#38997C212yesmaximal, complemented
18#38983C212yesmaximal, complemented
19#38509C214yesmaximal, complemented
20#37900C214yesmaximal, complemented
21#35676C211yesmaximal, characteristic, complemented
22#35660C211yesmaximal, characteristic, complemented
23#35630C211yesmaximal, characteristic, complemented
24#35628C211yesmaximal, characteristic, complemented
25#35556C211yesmaximal, characteristic, complemented
26#35545C211yesmaximal, characteristic, complemented
27#35327C211yesmaximal, characteristic, complemented
28#35256C211yesmaximal, characteristic, complemented
29#35165C211yesmaximal, characteristic, complemented
30#34947C211yesmaximal, characteristic, complemented
31#34744C211yesmaximal, characteristic, complemented
32C2×#2447C211yesmaximal, characteristic, complemented
33#34267C211yesmaximal, characteristic, complemented
34#34265C211yesmaximal, characteristic, complemented
35#34259C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#535C2211yescharacteristic
41C2×#535C2211yescharacteristic
42C2×#533C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C22×#124C2211yescharacteristic
45C2×#520C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C2×C4×#41C2211yescharacteristic
48C22×C4×D4C2211yescharacteristic
49#2856C2212yes—
50#2850C2212yes—
51#2850C2212yes—
52#2850C2212yes—
53#2847C2214yes—
54#2832C2214yescomplemented
55#2831C2214yescomplemented
56#2826C2214yescomplemented
57#2825C2214yescomplemented
58#2808C2214yescomplemented
59#2804C2214yescomplemented
60#2788C2214yescomplemented
61#2781C2214yescomplemented
62#2780C2214yescomplemented
63#2778C2214yescomplemented
64#2778C2214yescomplemented
65#2775C2214yescomplemented
66#2761C2214yescomplemented
67#2760C2214yescomplemented
68#2759C2214yescomplemented
69#2756C2214yescomplemented
70#2753C2214yescomplemented
71#2752C2214yescomplemented
72#2751C2214yescomplemented
73#2751C2214yescomplemented
74#2751C2214yescomplemented
75#2750C2214yescomplemented
76#2750C2214yescomplemented
77#2749C2214yescomplemented
78#2749C2214yescomplemented
79#2749C2214yescomplemented
80#2745C2214yescomplemented
81#2743C2214yescomplemented
82#2730C2214yescomplemented
83#2715C2214yescomplemented
84#2714C2214yescomplemented
85#2708C2214yescomplemented
86#2703C2214yescomplemented
87#2688C2214yescomplemented
88#2686C2214yescomplemented
89#2676C2214yescomplemented
90#2665C2214yescomplemented
91#2653C2214yescomplemented
92#2653C2214yescomplemented
93#2650C2214yescomplemented
94#2649C2214yescomplemented
95#2648C2214yescomplemented
96#2648C2214yescomplemented
97#2643C2214yescomplemented
98#2639C2214yescomplemented
99#2636C2214yescomplemented
100#2635C2214yescomplemented
101#2631C2214yescomplemented
102#2620C2212yes—
103#2620C2212yes—
104#2620C2212yes—
105#2619C2212yes—
106#2617C2214yes—
107#2597C2214yescomplemented
108#2592C2212yes—
109#2592C2212yes—
110#2592C2212yescomplemented
111#2592C2212yescomplemented
112#2576C2214yescomplemented
113#2574C2214yescomplemented
114#2572C2214yescomplemented
115#2568C2212yescomplemented
116#2568C2212yescomplemented
117#2568C2211yescharacteristic, complemented
118#2567C2211yescharacteristic, complemented
119#2566C2211yescharacteristic, complemented
120#2566C2211yescharacteristic, complemented
121#2565C2211yescharacteristic, complemented
122#2565C2211yescharacteristic, complemented
123#2564C2212yes—
124#2564C2212yes—
125#2563C2211yescharacteristic, complemented
126#2559C2214yescomplemented
127#2557C2214yescomplemented
128#2548C2212yes—
129#2548C2212yes—
130#2547C2212yes—
131#2545C2212yes—
132#2545C2212yes—
133#2544C2212yes—
134#2544C2212yes—
135#2544C2212yes—
136#2544C2212yes—
137#2542C2211yescharacteristic, complemented
138#2541C2212yes—
139#2537C2212yes—
140#2537C2212yes—
141#2535C2212yes—
142#2535C2212yes—
143#2534C2214yes—
144#2534C2214yes—
145#2514C2212yescomplemented
146#2514C2212yescomplemented
147#2514C2212yescomplemented
148#2514C2212yescomplemented
149#2514C2212yescomplemented
150#2513C2212yescomplemented
151#2512C2212yescomplemented
152#2511C2212yescomplemented
153#2511C2212yescomplemented
154#2511C2212yescomplemented
155#2511C2212yescomplemented
156#2511C2212yescomplemented
157#2510C2214yes—
158#2510C2214yescomplemented
159#2497C2212yescomplemented
160#2496C2212yescomplemented
161#2495C2212yescomplemented
162#2494C2212yescomplemented
163#2493C2214yes—
164#2493C2214yes—
165#2492C2212yescomplemented
166#2492C2212yescomplemented
167#2491C2212yes—
168#2491C2212yes—
169#2490C2212yes—
170#2490C2212yes—
171#2489C2212yescomplemented
172#2489C2212yescomplemented
173#2488C2214yes—
174#2488C2214yes—
175#2481C2214yes—
176#2472C2214yes—
177#2472C2214yes—
178#2459C2214yescomplemented
179#2456C2214yescomplemented
180#2450C2214yescomplemented
181#2448C2211yescharacteristic, complemented
182#2448C2211yescharacteristic, complemented
183#2447C2212yes—
184#2447C2212yes—
185#2447C2212yes—
186#2447C2212yes—
187#2447C2212yes—
188#2447C2212yes—
189#2447C2212yes—
190#2447C2212yes—
191#2447C2211yescharacteristic, complemented
192#2447C2211yescharacteristic, complemented
193#2446C2211yescharacteristic, complemented
194#2446C2211yescharacteristic, complemented
195#2445C2211yescharacteristic, complemented
196#2445C2211yescharacteristic, complemented
197#2444C2212yes—
198#2444C2212yes—
199#2444C2214yescomplemented
200#2444C2214yescomplemented
201#2443C2212yes—
202#2443C2212yes—
203#2436C2212yes—
204#2436C2212yes—
205#2436C2212yes—
206#2436C2212yes—
207#2436C2212yescomplemented
208#2434C2212yescomplemented
209#2432C2212yescomplemented
210#2431C2212yes—
211#2431C2212yes—
212#2431C2212yes—
213#2431C2212yes—
214#2431C2212yescomplemented
215#2430C2214yes—
216#2430C2214yes—
217#2428C2212yes—
218#2428C2212yes—
219#2426C2212yes—
220#2426C2212yes—
221#2424C2214yes—
222#2424C2214yes—
223#2417C2212yes—
224#2417C2212yes—
225#2409C2212yescomplemented
226#2409C2212yescomplemented
227#2407C2212yescomplemented
228#2407C2212yescomplemented
229#2404C2214yes—
230#2404C2214yes—
231#2396C2212yescomplemented
232#2396C2212yescomplemented
233#2395C2212yescomplemented
234#2395C2212yescomplemented
235C2×#397C2212yes—
236C2×#397C2212yes—
237#2367C2212yes—
238#2367C2212yes—
239#2366C2212yes—
240#2366C2212yes—
241#2364C2214yes—
242#2363C2212yes—
243#2363C2212yes—
244#2363C2212yescomplemented
245#2362C2212yescomplemented
246#2361C2212yes—
247#2361C2212yes—
248#2361C2214yes—
249#2361C2212yescomplemented
250#2360C2212yescomplemented
251Q8×C22⋊C4C2212yescomplemented
252Q8×C22⋊C4C2212yescomplemented
253#2339C2214yes—
254#2339C2214yes—
255#2339C2212yescomplemented
256#2339C2212yescomplemented
257#2337C2214yescomplemented
258#2333C2214yescomplemented
259#2325C2214yescomplemented
260#2324C2212yescomplemented
261#2323C2212yescomplemented
262#2321C2214yes—
263#2318C2214yescomplemented
264#2317C2211yescharacteristic
265#2311C2211yescharacteristic
266#2311C2211yescharacteristic
267#2311C2211yescharacteristic
268#2311C2212yescomplemented
269#2310C2211yescharacteristic
270#2310C2211yescharacteristic
271#2310C2212yescomplemented
272#2309C2211yescharacteristic
273C4×C22⋊Q8C2212yescomplemented
274C4×C22⋊Q8C2212yescomplemented
275C4×C22⋊Q8C2212yescomplemented
276C4×#123C2212yescomplemented
277C4×#123C2212yescomplemented
278C4×#121C2212yescomplemented
279C4×#120C2214yes—
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2297C2212yescomplemented
286#2296C2211yescharacteristic
287C2×#391C2211yescharacteristic
288C2×#391C2211yescharacteristic
289C2×#391C2212yescomplemented
290C2×#390C2211yescharacteristic
291C2×#389C2211yescharacteristic
292C2×#385C2212yes—
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295C2×#381C2212yes—
296#2274C2211yescharacteristic
297#2274C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C2×2−1+4—28no—
300C2×2−1+4—44no—
301C2×2−1+4—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C22×#41C2314yes—
307C22×#41C2312yes—
308C23×Q8C2311yescharacteristic
309C23×Q8C2312yes—
310C23×Q8C2312yes—
311C23×D4C2311yescharacteristic
312C24×C4C2312yes—
313#537—28no—
314#536—44no—
315#535—28no—
316#535—44no—
317#535—44no—
318#533—44no—
319#532—44no—
320C2×C4⋊Q8C2311yescharacteristic
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2311yescharacteristic
323C2×C4⋊Q8C2311yescharacteristic
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2311yescharacteristic
327C2×#127C2312yes—
328C2×#126C2314yes—
329C2×#125C2311yescharacteristic
330C2×#125C2311yescharacteristic
331C2×#124—44no—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2311yescharacteristic
342C2×#124C2311yescharacteristic
343C2×#124C2314yes—
344C2×#123C2314yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#120C2314yes—
371C2×#120C2314yes—
372C2×#120C2314yes—
373#520—44no—
374C4×#41—44no—
375C4×#41—44no—
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2311yescharacteristic
383C2×C4×D4—44no—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2314yes—
403C2×#117C2311yescharacteristic
404C2×#117C2311yescharacteristic
405C2×#117C2311yescharacteristic
406C2×#117C2311yescharacteristic
407C2×#117C2311yescharacteristic
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2312yes—
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2311yescharacteristic
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2311yescharacteristic
415C22×C4⋊C4C2311yescharacteristic
416C22×C4⋊C4C2312yes—
417C22×C22⋊C4C2312yes—
418C22×C22⋊C4C2312yes—
419C22×C22⋊C4C2312yes—
420C22×C22⋊C4C2312yes—
421C22×C22⋊C4C2312yes—
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2312yes—
426C22×C42C2312yes—
427#401C2314yes—
428#401C2314yes—
429#401C2314yes—
430#400C2312yes—
431#400C2312yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2312yes—
444#400C2314yes—
445#400C2312yes—
446#400C2314yes—
447#399C2312yes—
448#399C2312yes—
449#399C2312yes—
450#399C2312yes—
451#398C2312yes—
452#398C2312yes—
453#398C2312yes—
454#398C2312yes—
455#398C2312yes—
456#398C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2312yes—
465#397C2312yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2312yes—
479#397C2312yes—
480#396C2312yes—
481#396C2312yes—
482#396C2312yes—
483#396C2312yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#395C2312yes—
492#395C2312yes—
493#395C2314yes—
494#395C2314yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2312yes—
513#394C2314yes—
514#394C2312yes—
515#394C2314yes—
516#394C2312yes—
517#393C2312yes—
518#393C2312yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#391C2311yescharacteristic
540#391C2311yescharacteristic
541#391C2311yescharacteristic
542#391C2311yescharacteristic
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2311yescharacteristic
552#391C2312yes—
553#391C2312yes—
554#391C2314yes—
555#391C2314yes—
556#391C2312yes—
557#391C2312yes—
558#391C2311yescharacteristic
559#391C2311yescharacteristic
560#391C2312yes—
561#391C2312yes—
562#391C2314yes—
563#391C2314yes—
564#391C2312yes—
565#391C2311yescharacteristic
566#391C2314yes—
567#391C2314yes—
568#391C2312yes—
569#391C2312yes—
570#391C2312yes—
571#391C2312yes—
572#391C2312yes—
573#391C2312yes—
574#391C2311yescharacteristic
575#391C2311yescharacteristic
576#390C2311yescharacteristic
577#390C2311yescharacteristic
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2311yescharacteristic
583#390C2311yescharacteristic
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2311yescharacteristic
588#390C2314yes—
589#390C2314yes—
590#390C2314yes—
591#390C2314yes—
592#390C2314yes—
593#390C2312yes—
594#390C2312yes—
595#390C2311yescharacteristic
596#390C2311yescharacteristic
597#390C2314yes—
598#390C2314yes—
599#390C2312yes—
600#390C2312yes—
601#390C2311yescharacteristic
602#390C2311yescharacteristic
603#390C2311yescharacteristic
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2314yes—
610#389C2312yes—
611#389C2311yescharacteristic
612#389C2311yescharacteristic
613#389C2312yes—
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#389C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2314yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2312yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2312yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2312yes—
709#386C2312yes—
710#386C2312yes—
711#386C2312yes—
712#385C2312yes—
713#385C2312yes—
714#385C2312yes—
715#385C2312yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2312yes—
722#385C2312yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2312yes—
731#385C2314yes—
732#385C2312yes—
733#384C2311yescharacteristic
734#384C2311yescharacteristic
735#384C2311yescharacteristic
736#384C2311yescharacteristic
737#384C2312yes—
738#383C2314yes—
739#383C2314yes—
740#383C2314yes—
741#382C2311yescharacteristic
742#382C2311yescharacteristic
743#382C2311yescharacteristic
744#382C2311yescharacteristic
745#382C2314yes—
746#382C2314yes—
747#382C2312yes—
748#381C2314yes—
749#381C2314yes—
750#381C2314yes—
751#381C2314yes—
752#381C2312yes—
753#381C2314yes—
754#381C2314yes—
755#381C2314yes—
756#381C2314yes—
757#381C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2314yes—
771#380C2314yes—
772#380C2314yes—
773#380C2314yes—
774#379C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C2×#95C2311yescharacteristic
817C2×#95C2311yescharacteristic
818C2×#95C2314yes—
819C2×#95C2314yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
822C2×#95C2312yes—
823C2×#95C2312yes—
824C2×#95C2312yes—
825C25C2412yes—
8262−1+4—464no—
827C2×#41—216no—
828C2×#41—28no—
829C2×#41—24no—
830C2×#41—28no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—48no—
839C2×#41—48no—
840C2×#41—44no—
841C2×#41—44no—
842C2×#41—44no—
843C2×#41—44no—
844C2×#41#4118yes—
845C22×Q8—28no—
846C22×Q8—28no—
847C22×Q8—24no—
848C22×Q8—24no—
849C22×Q8—24no—
850C22×Q8—44no—
851C22×Q8—44no—
852C22×Q8—44no—
853C22×Q8—44no—
854C22×Q8C2411yescharacteristic
855C22×Q8C2412yes—
856C22×Q8C2412yes—
857C22×Q8C2411yescharacteristic
858C22×Q8C2411yescharacteristic
859C22×Q8C2412yes—
860C22×Q8C2414yes—
861C22×Q8C2412yes—
862C22×D4—24no—
863C22×D4—24no—
864C22×D4—24no—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2411yescharacteristic
869C22×D4C2412yes—
870C22×D4C2411yescharacteristic
871C22×D4C2412yes—
872C22×D4C2411yescharacteristic
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2412yes—
876C22×D4C2414yes—
877C22×D4C2414yes—
878C22×D4C2412yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C23×C4—44no—
884C23×C4—44no—
885C23×C4—82no—
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2411yescharacteristic
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2411yescharacteristic
895C23×C4C2411yescharacteristic
896C23×C4C2411yescharacteristic
897C23×C4C2412yes—
898C23×C4C2414yes—
899C23×C4C2412yes—
900C23×C4C2414yes—
901C23×C4C2414yes—
902C23×C4C2414yes—
903C23×C4C2412yes—
904C23×C4C2414yes—
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2411yescharacteristic
908C4⋊Q8—42no—
909C4⋊Q8—42no—
910C4⋊Q8—42no—
911C4⋊Q8—44no—
912#127—28no—
913#127—42no—
914#127—44no—
915#127—44no—
916#126—84no—
917#125—42no—
918#125—42no—
919#124—28no—
920#124—44no—
921#124—44no—
922#124—44no—
923#124—44no—
924#124—42no—
925#124—42no—
926#124—44no—
927#124—44no—
928#124—44no—
929#124—48no—
930#124—84no—
931#123—44no—
932#123—48no—
933#123—44no—
934C22⋊Q8—28no—
935C22⋊Q8—28no—
936C22⋊Q8—44no—
937C22⋊Q8—44no—
938C22⋊Q8—44no—
939C22⋊Q8—44no—
940C22⋊Q8—44no—
941C22⋊Q8—44no—
942#121—28no—
943#121—216no—
944#121—28no—
945#121—28no—
946#121—28no—
947#121—48no—
948#121—48no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—84no—
956#121—84no—
957#120—216no—
958#120—48no—
959#120—48no—
960C4×Q8—44no—
961C4×Q8—44no—
962C4×Q8—42no—
963C4×Q8—42no—
964C4×Q8—42no—
965C4×Q8—42no—
966C4×Q8—44no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—42no—
972C4×D4—42no—
973C4×D4—42no—
974C4×D4—42no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—48no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—48no—
984C4×D4—84no—
985C4×D4—84no—
986#117—24no—
987#117—24no—
988#117—24no—
989#117—24no—
990#117—24no—
991#117—44no—
992#117—44no—
993#117—44no—
994C2×C4⋊C4—24no—
995C2×C4⋊C4—24no—
996C2×C4⋊C4—42no—
997C2×C4⋊C4—42no—
998C2×C4⋊C4—44no—
999C2×C4⋊C4—82no—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C22⋊C4—44no—
1055C2×C22⋊C4—44no—
1056C2×C22⋊C4—44no—
1057C2×C22⋊C4—44no—
1058C2×C22⋊C4—82no—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C42—24no—
1124C2×C42—24no—
1125C2×C42—24no—
1126C2×C42—44no—
1127C2×C42—44no—
1128C2×C42C2412yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2414yes—
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2414yes—
1151C2×C42C2414yes—
1152C2×C42C2414yes—
1153C2×C42C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2411yescharacteristic
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224C24—24no—
1225C24—24no—
1226C24—24no—
1227C24—42no—
1228C24—42no—
1229C24—42no—
1230C24—42no—
1231C24C2514yes—
1232C24C2512yes—
1233C24C2512yes—
1234C24C2512yes—
1235C24C2511yescharacteristic
1236#41—232no—
1237#41—432no—
1238#41—464no—
1239#41—432no—
1240#41—416no—
1241#41—416no—
1242C2×Q8—22no—
1243C2×Q8—28no—
1244C2×Q8—24no—
1245C2×Q8—24no—
1246C2×Q8—22no—
1247C2×Q8—22no—
1248C2×Q8—22no—
1249C2×Q8—22no—
1250C2×Q8—24no—
1251C2×Q8—22no—
1252C2×Q8—24no—
1253C2×Q8—24no—
1254C2×Q8—22no—
1255C2×Q8—24no—
1256C2×Q8—22no—
1257C2×Q8—24no—
1258C2×Q8—44no—
1259C2×Q8—44no—
1260C2×Q8—42no—
1261C2×Q8—42no—
1262C2×Q8—42no—
1263C2×Q8—42no—
1264C2×Q8—42no—
1265C2×Q8—432no—
1266C2×Q8—432no—
1267C2×Q8—416no—
1268C2×Q8C2×#4114yes—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—28no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—28no—
1279C2×D4—28no—
1280C2×D4—28no—
1281C2×D4—24no—
1282C2×D4—22no—
1283C2×D4—24no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—22no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—24no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—44no—
1308C2×D4—42no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—416no—
1322C2×D4C2×#4118yes—
1323C2×D4C2×#4114yes—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—28no—
1327C22×C4—24no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—28no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—28no—
1348C22×C4—24no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—42no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—41no—
1361C22×C4—42no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—42no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—42no—
1370C22×C4—44no—
1371C22×C4—42no—
1372C22×C4—44no—
1373C22×C4—42no—
1374C22×C4—42no—
1375C22×C4—42no—
1376C22×C4—42no—
1377C22×C4—44no—
1378C22×C4—42no—
1379C22×C4—41no—
1380C22×C4—41no—
1381C22×C4—42no—
1382C22×C4—41no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—816no—
1387C22×C4C2×#4118yes—
1388C22×C4C2×#4114yes—
1389C22×C4H(5,𝔽2)14yes—
1390C22×C4H(5,𝔽2)14yes—
1391C22×C4C2512yes—
1392C22×C4C2512yes—
1393C22×C4C2514yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2512yes—
1401C22×C4C2514yes—
1402C22×C4C2511yescharacteristic
1403C22×C4C2514yes—
1404C22×C4C2512yes—
1405C22×C4C2512yes—
1406C22×C4C2512yes—
1407C22×C4C2511yescharacteristic
1408C22×C4C2512yes—
1409C22×C4C2511yescharacteristic
1410C22×C4C2511yescharacteristic
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2511yescharacteristic
1414C22×C4C2512yes—
1415C22×C4C2511yescharacteristic
1416C22×C4C2512yes—
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2511yescharacteristic
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—28no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—41no—
1443C4⋊C4—41no—
1444C4⋊C4—41no—
1445C4⋊C4—41no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—44no—
1466C4⋊C4—42no—
1467C4⋊C4—44no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—42no—
1474C4⋊C4—42no—
1475C22⋊C4—24no—
1476C22⋊C4—28no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—28no—
1482C22⋊C4—28no—
1483C22⋊C4—28no—
1484C22⋊C4—28no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—42no—
1524C22⋊C4—44no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—42no—
1537C22⋊C4—44no—
1538C22⋊C4—42no—
1539C42—24no—
1540C42—22no—
1541C42—22no—
1542C42—22no—
1543C42—22no—
1544C42—22no—
1545C42—22no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—24no—
1553C42—24no—
1554C42—24no—
1555C42—24no—
1556C42—42no—
1557C42—42no—
1558C42—42no—
1559C42—42no—
1560C42—44no—
1561C42—44no—
1562C42—44no—
1563C42—44no—
1564C42—44no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—24no—
1577C23—22no—
1578C23—24no—
1579C23—22no—
1580C23—22no—
1581C23—24no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—24no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—24no—
1590C23—22no—
1591C23—24no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—24no—
1596C23—48no—
1597C23—48no—
1598C23—48no—
1599C23—84no—
1600C23—84no—
1601C23—84no—
1602C23—84no—
1603C23C22×#4114yes—
1604C23C22×#4112yes—
1605C23C2×H(5,𝔽2)12yes—
1606C23C2×H(5,𝔽2)12yes—
1607C23C2611yescharacteristic
1608Q8—28no—
1609Q8—416no—
1610Q8—48no—
1611Q8—44no—
1612Q8—48no—
1613Q8—44no—
1614Q8—84no—
1615Q8—84no—
1616D4—216no—
1617D4—28no—
1618D4—416no—
1619D4—48no—
1620D4—48no—
1621D4—48no—
1622D4—48no—
1623D4—44no—
1624D4—44no—
1625D4—84no—
1626D4—88no—
1627D4—88no—
1628D4—88no—
1629D4—84no—
1630D4—164no—
1631D4—164no—
1632D4—164no—
1633D4—164no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—216no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—24no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—24no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—24no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—24no—
1670C2×C4—22no—
1671C2×C4—24no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—24no—
1677C2×C4—24no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—24no—
1698C2×C4—24no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—44no—
1717C2×C4—44no—
1718C2×C4—416no—
1719C2×C4—416no—
1720C2×C4—48no—
1721C2×C4—48no—
1722C2×C4—48no—
1723C2×C4—84no—
1724C2×C4—88no—
1725C2×C4—84no—
1726C2×C4—82no—
1727C2×C4—82no—
1728C2×C4—82no—
1729C2×C4—82no—
1730C2×C4—84no—
1731C2×C4—84no—
1732C2×C4—84no—
1733C2×C4—84no—
1734C2×C4—88no—
1735C2×C4—164no—
1736C2×C4#538116yes—
1737C2×C4C22×#4114yes—
1738C2×C4C22×#4112yes—
1739C2×C4C22×#4112yes—
1740C2×C4C2×H(5,𝔽2)12yes—
1741C2×C4C2×H(5,𝔽2)12yes—
1742C2×C4C2×H(5,𝔽2)12yes—
1743C2×C4C2×H(5,𝔽2)12yes—
1744C2×C4#58512yes—
1745C2×C4#58512yes—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—24no—
1753C22—24no—
1754C22—24no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—44no—
1760C22—42no—
1761C22—42no—
1762C22—42no—
1763C22—44no—
1764C22—42no—
1765C22—42no—
1766C22—42no—
1767C22—44no—
1768C22—42no—
1769C22—42no—
1770C22—44no—
1771C22—44no—
1772C22—42no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—44no—
1777C22—42no—
1778C22—42no—
1779C22—44no—
1780C22—816no—
1781C22C2×#53814yes—
1782C22C23×#4111yescharacteristic
1783C22C22×H(5,𝔽2)11yescharacteristic
1784C22C22×H(5,𝔽2)11yescharacteristic
1785C22C2×#58511yescharacteristic
1786C22C2×#58511yescharacteristic
1787C22H(7,𝔽2)11yescharacteristic
1788C222−1+611yescharacteristic
1789C4—22no—
1790C4—22no—
1791C4—24no—
1792C4—42no—
1793C4—44no—
1794C4—42no—
1795C4—41no—
1796C4—42no—
1797C4—42no—
1798C4—42no—
1799C4—41no—
1800C4—42no—
1801C4—41no—
1802C4—42no—
1803C4—42no—
1804C4—41no—
1805C4—41no—
1806C4—41no—
1807C4—44no—
1808C4—42no—
1809C4—41no—
1810C4—41no—
1811C4—42no—
1812C4—41no—
1813C4—41no—
1814C4—42no—
1815C4—44no—
1816C4—42no—
1817C4C2×#53814yes—
1818C4C2×#53814yes—
1819C2—24no—
1820C2—44no—
1821C2—82no—
1822C2—82no—
1823C2—84no—
1824C2C22×#53811yescharacteristic
1825C2#6283011yescharacteristic
1826C2#6287811yescharacteristic
1827C2#6292411yescharacteristic
1828C2#6292511yescharacteristic
1829C2#6299511yescharacteristic
1830C2#6301011yescharacteristic
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. #42961C2semidirect
2. #42940C2semidirect
3. #42874C2semidirect
4. #42843C2semidirect
5. #42602C2semidirect
6. #42547C2semidirect
7. #42520C2semidirect
8. #42518C2semidirect
9. #41468C2semidirect
10. #40689C2semidirect
11. #40194C2semidirect
12. #40145C2semidirect
13. #40033C2semidirect
14. #40030C2semidirect
15. #39768C2semidirect
16. #39238C2semidirect
17. #38997C2semidirect
18. #38983C2semidirect
19. #38509C2semidirect
20. #37900C2semidirect
21. #35676C2semidirect
22. #35660C2semidirect
23. #35630C2semidirect
24. #35628C2semidirect
25. #35556C2semidirect
26. #35545C2semidirect
27. #35327C2semidirect
28. #35256C2semidirect
29. #35165C2semidirect
30. #34947C2semidirect
31. #34744C2semidirect
32. C2×#2447C2semidirect
33. #34267C2semidirect
34. #34265C2semidirect
35. #34259C2semidirect
54. #2832C22semidirect
55. #2831C22semidirect
56. #2826C22semidirect
57. #2825C22semidirect
58. #2808C22semidirect
59. #2804C22semidirect
60. #2788C22semidirect
61. #2781C22semidirect
62. #2780C22semidirect
63. #2778C22semidirect
64. #2778C22semidirect
65. #2775C22semidirect
66. #2761C22semidirect
67. #2760C22semidirect
68. #2759C22semidirect
69. #2756C22semidirect
70. #2753C22semidirect
71. #2752C22semidirect
72. #2751C22semidirect
73. #2751C22semidirect
74. #2751C22semidirect
75. #2750C22semidirect
76. #2750C22semidirect
77. #2749C22semidirect
78. #2749C22semidirect
79. #2749C22semidirect
80. #2745C22semidirect
81. #2743C22semidirect
82. #2730C22semidirect
83. #2715C22semidirect
84. #2714C22semidirect
85. #2708C22semidirect
86. #2703C22semidirect
87. #2688C22semidirect
88. #2686C22semidirect
89. #2676C22semidirect
90. #2665C22semidirect
91. #2653C22semidirect
92. #2653C22semidirect
93. #2650C22semidirect
94. #2649C22semidirect
95. #2648C22semidirect
96. #2648C22semidirect
97. #2643C22semidirect
98. #2639C22semidirect
99. #2636C22semidirect
100. #2635C22semidirect
101. #2631C22semidirect
107. #2597C22semidirect
110. #2592C22semidirect
111. #2592C22semidirect
112. #2576C22semidirect
113. #2574C22semidirect
114. #2572C22semidirect
115. #2568C22semidirect
116. #2568C22semidirect
117. #2568C22semidirect
118. #2567C22semidirect
119. #2566C22semidirect
120. #2566C22semidirect
121. #2565C22semidirect
122. #2565C22semidirect
125. #2563C22semidirect
126. #2559C22semidirect
127. #2557C22semidirect
137. #2542C22semidirect
145. #2514C22semidirect
146. #2514C22semidirect
147. #2514C22semidirect
148. #2514C22semidirect
149. #2514C22semidirect
150. #2513C22semidirect
151. #2512C22semidirect
152. #2511C22semidirect
153. #2511C22semidirect
154. #2511C22semidirect
155. #2511C22semidirect
156. #2511C22semidirect
158. #2510C22semidirect
159. #2497C22semidirect
160. #2496C22semidirect
161. #2495C22semidirect
162. #2494C22semidirect
165. #2492C22semidirect
166. #2492C22semidirect
171. #2489C22semidirect
172. #2489C22semidirect
178. #2459C22semidirect
179. #2456C22semidirect
180. #2450C22semidirect
181. #2448C22semidirect
182. #2448C22semidirect
191. #2447C22semidirect
192. #2447C22semidirect
193. #2446C22semidirect
194. #2446C22semidirect
195. #2445C22semidirect
196. #2445C22semidirect
199. #2444C22semidirect
200. #2444C22semidirect
207. #2436C22semidirect
208. #2434C22semidirect
209. #2432C22semidirect
214. #2431C22semidirect
225. #2409C22semidirect
226. #2409C22semidirect
227. #2407C22semidirect
228. #2407C22semidirect
231. #2396C22semidirect
232. #2396C22semidirect
233. #2395C22semidirect
234. #2395C22semidirect
244. #2363C22semidirect
245. #2362C22semidirect
249. #2361C22semidirect
250. #2360C22semidirect
251. Q8×C22⋊C4C22semidirect
252. Q8×C22⋊C4C22semidirect
255. #2339C22semidirect
256. #2339C22semidirect
257. #2337C22semidirect
258. #2333C22semidirect
259. #2325C22semidirect
260. #2324C22semidirect
261. #2323C22semidirect
263. #2318C22semidirect
268. #2311C22semidirect
271. #2310C22semidirect
273. C4×C22⋊Q8C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×C22⋊Q8C22semidirect
276. C4×#123C22semidirect
277. C4×#123C22semidirect
278. C4×#121C22semidirect
285. #2297C22semidirect
289. C2×#391C22semidirect

Maximal subgroups

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

subgroupindex
#429612
#429402
#428742
#428432
#426022
#425472
#425202
#425182
#414682
#406892
#401942
#401452
#400332
#400302
#397682
#392382
#389972
#389832
#385092
#379002
#356762
#356602
#356302
#356282
#355562
#355452
#353272
#352562
#351652
#349472
#347442
C2×#24472
#342672
#342652
#342592