Finite Group Databasebeta

← #7651315

Subgroups — #7651315

Order 512.

4710 conjugacy classes of subgroups.

The subgroup lattice has 1669 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42779C212yesmaximal, complemented
2#42763C212yesmaximal, complemented
3#42747C212yesmaximal, complemented
4#42737C212yesmaximal, complemented
5#42735C212yesmaximal, complemented
6#42596C212yesmaximal, complemented
7#42594C212yesmaximal, complemented
8#42558C212yesmaximal, complemented
9#40566C214yesmaximal, complemented
10#40545C214yesmaximal, complemented
11#40203C212yesmaximal, complemented
12#40154C212yesmaximal, complemented
13#40151C212yesmaximal, complemented
14#40093C212yesmaximal, complemented
15#39665C212yesmaximal, complemented
16#39660C212yesmaximal, complemented
17#39535C212yesmaximal, complemented
18#39007C212yesmaximal, complemented
19#38393C214yesmaximal, complemented
20#38055C214yesmaximal, complemented
21#35628C211yesmaximal, characteristic, complemented
22#35619C211yesmaximal, characteristic, complemented
23#35592C211yesmaximal, characteristic
24#35575C211yesmaximal, characteristic, complemented
25#35566C211yesmaximal, characteristic, complemented
26#35545C211yesmaximal, characteristic, complemented
27#35312C211yesmaximal, characteristic, complemented
28#35307C211yesmaximal, characteristic, complemented
29#35153C211yesmaximal, characteristic
30#34947C211yesmaximal, characteristic, complemented
31#34816C211yesmaximal, characteristic, complemented
32C2×#2451C211yesmaximal, characteristic, complemented
33#34267C211yesmaximal, characteristic
34#34216C211yesmaximal, characteristic, complemented
35#34187C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#536C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C22×C4⋊Q8C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C22×C4×Q8C2211yescharacteristic
45#2862C2212yes—
46#2861C2212yes—
47#2855C2212yes—
48#2855C2212yes—
49#2854C2214yes—
50#2839C2214yes—
51#2831C2214yes—
52#2831C2214yes—
53#2830C2214yes—
54#2799C2214yes—
55#2799C2214yes—
56#2793C2214yes—
57#2790C2214yes—
58#2777C2214yes—
59#2774C2214yes—
60#2772C2214yes—
61#2767C2214yes—
62#2766C2214yes—
63#2765C2214yes—
64#2764C2214yes—
65#2764C2214yes—
66#2763C2214yes—
67#2763C2214yes—
68#2761C2214yes—
69#2759C2214yes—
70#2759C2214yes—
71#2758C2214yes—
72#2757C2214yes—
73#2755C2214yes—
74#2755C2214yes—
75#2754C2214yes—
76#2754C2214yes—
77#2739C2214yes—
78#2737C2214yes—
79#2729C2214yes—
80#2723C2214yes—
81#2716C2214yes—
82#2715C2214yes—
83#2715C2214yes—
84#2700C2214yes—
85#2700C2214yes—
86#2666C2214yes—
87#2665C2214yes—
88#2665C2214yes—
89#2655C2214yes—
90#2654C2214yes—
91#2651C2214yes—
92#2650C2214yes—
93#2645C2214yes—
94#2642C2212yes—
95#2640C2212yes—
96#2640C2214yes—
97#2638C2214yes—
98#2637C2214yes—
99#2637C2214yes—
100#2625C2212yes—
101#2625C2212yes—
102#2618C2214yes—
103#2592C2212yes—
104#2592C2212yes—
105#2591C2214yes—
106#2584C2212yes—
107#2584C2212yes—
108#2568C2212yes—
109#2568C2212yes—
110#2568C2211yescharacteristic
111#2567C2211yescharacteristic
112#2567C2212yes—
113#2566C2211yescharacteristic
114#2566C2211yescharacteristic
115#2565C2211yescharacteristic
116#2565C2211yescharacteristic
117#2564C2212yes—
118#2564C2212yes—
119#2564C2214yes—
120#2563C2211yescharacteristic
121#2552C2212yes—
122#2551C2212yes—
123#2550C2212yes—
124#2550C2212yes—
125#2549C2214yes—
126#2546C2212yes—
127#2542C2211yescharacteristic
128#2532C2214yes—
129#2530C2214yes—
130#2529C2214yes—
131#2527C2214yes—
132#2520C2214yes—
133#2514C2211yescharacteristic
134#2514C2211yescharacteristic
135#2514C2212yes—
136#2513C2211yescharacteristic
137#2513C2211yescharacteristic
138#2513C2212yes—
139#2512C2211yescharacteristic
140#2512C2211yescharacteristic
141#2512C2212yes—
142#2511C2211yescharacteristic
143#2511C2211yescharacteristic
144#2511C2214yes—
145#2511C2212yes—
146#2510C2212yes—
147#2510C2212yes—
148#2510C2214yes—
149#2503C2212yes—
150#2502C2212yes—
151#2499C2212yes—
152#2499C2212yes—
153#2497C2212yes—
154#2496C2212yes—
155#2495C2212yes—
156#2494C2212yes—
157#2492C2212yes—
158#2492C2212yes—
159#2492C2212yes—
160#2492C2212yes—
161#2492C2212yes—
162#2492C2212yes—
163#2492C2212yes—
164#2492C2212yes—
165#2491C2212yes—
166#2491C2212yes—
167#2491C2212yes—
168#2491C2212yes—
169#2489C2212yes—
170#2489C2212yes—
171#2489C2212yes—
172#2489C2212yes—
173#2488C2214yes—
174#2488C2214yes—
175#2488C2214yes—
176#2488C2214yes—
177#2481C2212yes—
178#2481C2212yes—
179#2481C2214yes—
180#2468C2214yes—
181#2465C2214yes—
182#2465C2214yes—
183#2454C2212yes—
184#2453C2212yes—
185#2452C2212yes—
186#2451C2212yes—
187#2451C2212yes—
188#2451C2212yes—
189#2451C2212yes—
190#2451C2214yes—
191#2451C2212yes—
192#2451C2212yes—
193#2451C2212yes—
194#2451C2212yes—
195#2451C2212yes—
196#2448C2214yes—
197#2447C2212yes—
198#2447C2212yes—
199#2447C2212yes—
200#2447C2214yes—
201#2447C2212yes—
202#2446C2212yes—
203#2446C2212yes—
204#2446C2212yes—
205#2446C2212yes—
206#2442C2212yes—
207#2441C2212yes—
208#2440C2212yes—
209#2440C2214yes—
210#2439C2212yes—
211#2436C2214yes—
212#2429C2212yes—
213#2429C2212yes—
214#2429C2212yes—
215#2429C2212yes—
216#2426C2212yes—
217#2426C2212yes—
218#2426C2212yes—
219#2426C2212yes—
220#2419C2214yes—
221#2419C2214yes—
222#2419C2214yes—
223#2419C2214yes—
224#2417C2212yes—
225#2417C2214yes—
226#2417C2212yes—
227#2401C2212yes—
228#2401C2212yes—
229#2396C2212yes—
230#2396C2212yes—
231C2×#398C2212yes—
232C2×#395C2212yes—
233#2369C2212yes—
234#2369C2212yes—
235#2365C2212yes—
236#2365C2212yes—
237#2364C2214yes—
238#2363C2212yes—
239#2362C2212yes—
240#2361C2212yes—
241#2361C2214yes—
242#2360C2212yes—
243#2356C2212yes—
244#2356C2212yes—
245#2356C2212yes—
246#2356C2212yes—
247#2355C2212yes—
248#2355C2212yes—
249#2355C2212yes—
250#2355C2212yes—
251#2345C2214yes—
252Q8×C22⋊C4C2214yes—
253#2334C2214yes—
254#2332C2214yes—
255#2331C2212yes—
256#2331C2212yes—
257#2326C2214yes—
258#2324C2212yes—
259#2323C2212yes—
260#2320C2214yes—
261#2317C2211yescharacteristic
262#2316C2211yescharacteristic
263#2316C2211yescharacteristic
264#2313C2214yes—
265#2311C2211yescharacteristic
266#2311C2211yescharacteristic
267#2311C2211yescharacteristic
268#2310C2211yescharacteristic
269#2310C2211yescharacteristic
270C4×C4⋊Q8C2212yes—
271C4×C4⋊Q8C2212yes—
272C4×#126C2212yes—
273C4×#126C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×#121C2212yes—
278#2297C2211yescharacteristic
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2296C2211yescharacteristic
284C2×#391C2211yescharacteristic
285C2×#391C2211yescharacteristic
286C2×#391C2212yes—
287C2×#389C2211yescharacteristic
288C2×#389C2211yescharacteristic
289C2×#387C2212yes—
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2283C2214yes—
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×Q8C2311yescharacteristic
302C23×Q8C2312yes—
303#544—44no—
304#537—28no—
305#536—44no—
306#536—44no—
307#533—44no—
308C2×C4⋊Q8—28no—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2314yes—
320C2×#126C2312yes—
321C2×#126C2312yes—
322C2×#126C2314yes—
323C2×#125C2311yescharacteristic
324C2×#125C2311yescharacteristic
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#124C2314yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×#121C2312yes—
346C2×#121C2314yes—
347C2×#121C2312yes—
348#520—44no—
349C4×#41—44no—
350C2×C4×Q8—28no—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2314yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2314yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2312yes—
376C2×#117C2312yes—
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2311yescharacteristic
387C22×C42C2312yes—
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2311yescharacteristic
391C22×C42C2312yes—
392#401C2312yes—
393#401C2314yes—
394#401C2312yes—
395#400C2312yes—
396#400C2312yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
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#400C2314yes—
416#400C2312yes—
417#400C2314yes—
418#400C2312yes—
419#400C2312yes—
420#400C2312yes—
421#399C2312yes—
422#399C2312yes—
423#399C2314yes—
424#398C2312yes—
425#398C2312yes—
426#398C2312yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2312yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2312yes—
465#396C2312yes—
466#396C2312yes—
467#396C2312yes—
468#396C2312yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2312yes—
477#396C2312yes—
478#395C2312yes—
479#395C2312yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#393C2312yes—
494#393C2312yes—
495#393C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#391C2314yes—
505#391C2314yes—
506#391C2311yescharacteristic
507#391C2311yescharacteristic
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2314yes—
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#391C2314yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2314yes—
529#391C2312yes—
530#391C2314yes—
531#391C2314yes—
532#391C2314yes—
533#391C2314yes—
534#391C2314yes—
535#391C2314yes—
536#391C2312yes—
537#391C2314yes—
538#391C2314yes—
539#391C2312yes—
540#391C2314yes—
541#391C2314yes—
542#391C2314yes—
543#391C2314yes—
544#391C2311yescharacteristic
545#391C2311yescharacteristic
546#391C2311yescharacteristic
547#391C2311yescharacteristic
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2312yes—
552#391C2314yes—
553#391C2314yes—
554#390C2311yescharacteristic
555#390C2311yescharacteristic
556#390C2311yescharacteristic
557#390C2311yescharacteristic
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2314yes—
562#390C2311yescharacteristic
563#390C2314yes—
564#390C2311yescharacteristic
565#390C2314yes—
566#390C2311yescharacteristic
567#390C2311yescharacteristic
568#390C2311yescharacteristic
569#390C2311yescharacteristic
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2314yes—
587#389C2314yes—
588#389C2312yes—
589#389C2314yes—
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2312yes—
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2314yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
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#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#386C2312yes—
675#386C2314yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#386C2314yes—
687#386C2312yes—
688#386C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2312yes—
703#385C2312yes—
704#384C2311yescharacteristic
705#384C2311yescharacteristic
706#384C2311yescharacteristic
707#384C2311yescharacteristic
708#384C2314yes—
709#384C2312yes—
710#384C2311yescharacteristic
711#384C2311yescharacteristic
712#383C2312yes—
713#383C2312yes—
714#383C2314yes—
715#383C2314yes—
716#383C2314yes—
717#382C2311yescharacteristic
718#382C2311yescharacteristic
719#382C2311yescharacteristic
720#382C2311yescharacteristic
721#382C2314yes—
722#382C2314yes—
723#382C2312yes—
724#382C2314yes—
725#382C2314yes—
726#382C2314yes—
727#382C2314yes—
728#382C2311yescharacteristic
729#382C2311yescharacteristic
730#381C2314yes—
731#381C2314yes—
732#381C2314yes—
733#381C2314yes—
734#381C2314yes—
735#381C2314yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2314yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2314yes—
751#380C2314yes—
752#380C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807#376C2314yes—
808#376C2314yes—
809#376C2312yes—
810C2×#95C2311yescharacteristic
811C2×#95C2311yescharacteristic
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C43C2312yes—
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—24no—
825C22×Q8—24no—
826C22×Q8—28no—
827C22×Q8—24no—
828C22×Q8—24no—
829C22×Q8—44no—
830C22×Q8—82no—
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×Q8C2414yes—
836C22×Q8C2412yes—
837C22×Q8C2414yes—
838C22×Q8C2412yes—
839C22×Q8C2414yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2411yescharacteristic
844C22×D4C2414yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C4⋊Q8—28no—
862C4⋊Q8—28no—
863C4⋊Q8—28no—
864C4⋊Q8—28no—
865C4⋊Q8—42no—
866C4⋊Q8—42no—
867C4⋊Q8—44no—
868C4⋊Q8—44no—
869C4⋊Q8—44no—
870C4⋊Q8—44no—
871C4⋊Q8—84no—
872#126—28no—
873#126—44no—
874#126—84no—
875#125—42no—
876#125—42no—
877#125—44no—
878#125—44no—
879#124—44no—
880#124—44no—
881#124—48no—
882#124—84no—
883#123—48no—
884#123—48no—
885C22⋊Q8—28no—
886C22⋊Q8—28no—
887C22⋊Q8—28no—
888C22⋊Q8—44no—
889C22⋊Q8—44no—
890C22⋊Q8—48no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—44no—
894C22⋊Q8—44no—
895C22⋊Q8—44no—
896C22⋊Q8—84no—
897#121—216no—
898#121—28no—
899#121—28no—
900C4×Q8—28no—
901C4×Q8—28no—
902C4×Q8—28no—
903C4×Q8—28no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×Q8—48no—
907C4×Q8—42no—
908C4×Q8—42no—
909C4×Q8—44no—
910C4×Q8—84no—
911C4×D4—42no—
912C4×D4—42no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—48no—
917C4×D4—84no—
918#117—24no—
919#117—24no—
920#117—24no—
921#117—24no—
922#117—24no—
923#117—24no—
924#117—44no—
925#117—44no—
926C2×C4⋊C4—28no—
927C2×C4⋊C4—28no—
928C2×C4⋊C4—24no—
929C2×C4⋊C4—24no—
930C2×C4⋊C4—24no—
931C2×C4⋊C4—42no—
932C2×C4⋊C4—44no—
933C2×C4⋊C4—82no—
934C2×C4⋊C4—82no—
935C2×C4⋊C4#4118yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C42—28no—
1051C2×C42—24no—
1052C2×C42—24no—
1053C2×C42—24no—
1054C2×C42—44no—
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2414yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2414yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088#95C2414yes—
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174C24C2512yes—
1175C24C2512yes—
1176C24C2511yescharacteristic
1177#41—416no—
1178#41—416no—
1179C2×Q8—24no—
1180C2×Q8—24no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—28no—
1184C2×Q8—28no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—24no—
1194C2×Q8—28no—
1195C2×Q8—44no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—44no—
1200C2×Q8—42no—
1201C2×Q8—44no—
1202C2×Q8—42no—
1203C2×Q8—44no—
1204C2×Q8—44no—
1205C2×Q8—44no—
1206C2×Q8—416no—
1207C2×Q8—816no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—28no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—24no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—41no—
1246C22×C4—42no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—42no—
1250C22×C4—41no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—41no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4C2×#4118yes—
1268C22×C4C2×#4114yes—
1269C22×C4H(5,𝔽2)14yes—
1270C22×C42−1+414yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2514yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2514yes—
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2514yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2514yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C4⋊C4—28no—
1304C4⋊C4—28no—
1305C4⋊C4—28no—
1306C4⋊C4—28no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—28no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
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—24no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—41no—
1335C4⋊C4—41no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4C2×#4118yes—
1374C4⋊C4C2×#4118yes—
1375C4⋊C42−1+414yes—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C42—22no—
1418C42—22no—
1419C42—28no—
1420C42—22no—
1421C42—22no—
1422C42—28no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—24no—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—24no—
1436C42—24no—
1437C42—24no—
1438C42—24no—
1439C42—42no—
1440C42—42no—
1441C42—42no—
1442C42—44no—
1443C42—44no—
1444C42—44no—
1445C42—44no—
1446C42—42no—
1447C42—44no—
1448C42—44no—
1449C42—44no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23C22×#4112yes—
1469C23C2×H(5,𝔽2)12yes—
1470C23C2×2−1+412yes—
1471C23C2611yescharacteristic
1472Q8—416no—
1473Q8—48no—
1474Q8—48no—
1475Q8—44no—
1476Q8—44no—
1477Q8—84no—
1478Q8—88no—
1479Q8—84no—
1480Q8—164no—
1481D4—48no—
1482D4—48no—
1483D4—44no—
1484D4—44no—
1485D4—88no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—24no—
1491C2×C4—21no—
1492C2×C4—24no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—24no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—24no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—48no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—48no—
1577C2×C4—48no—
1578C2×C4—48no—
1579C2×C4—84no—
1580C2×C4—82no—
1581C2×C4—82no—
1582C2×C4—84no—
1583C2×C4—84no—
1584C2×C4—84no—
1585C2×C4—164no—
1586C2×C4#542116yes—
1587C2×C4C22×#4118yes—
1588C2×C4C22×#4112yes—
1589C2×C4C22×#4112yes—
1590C2×C4C2×H(5,𝔽2)12yes—
1591C2×C4C2×H(5,𝔽2)12yes—
1592C2×C4C2×2−1+412yes—
1593C2×C4C2×2−1+412yes—
1594C2×C4C2×2−1+412yes—
1595C2×C4C2×2−1+412yes—
1596C2×C4C2×2−1+412yes—
1597C2×C4#58512yes—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—42no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—42no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22C2×#54214yes—
1619C22C23×#4111yescharacteristic
1620C22C22×H(5,𝔽2)11yescharacteristic
1621C22C22×2−1+411yescharacteristic
1622C22C22×2−1+411yescharacteristic
1623C22C2×#58511yescharacteristic
1624C22H(7,𝔽2)11yescharacteristic
1625C222−1+611yescharacteristic
1626C4—28no—
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—44no—
1635C4—41no—
1636C4—41no—
1637C4—42no—
1638C4—41no—
1639C4—42no—
1640C4—42no—
1641C4—42no—
1642C4—41no—
1643C4—42no—
1644C4—44no—
1645C4—41no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—44no—
1652C4—42no—
1653C4—42no—
1654C4—42no—
1655C4—42no—
1656C4C2×#54214yes—
1657C4C2×#54214yes—
1658C2—24no—
1659C2—82no—
1660C2—82no—
1661C2C22×#54211yescharacteristic
1662C2#6283511yescharacteristic
1663C2#6287811yescharacteristic
1664C2#6294311yescharacteristic
1665C2#6295611yescharacteristic
1666C2#6299011yescharacteristic
1667C2#6299811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#537C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42779C2semidirect
2. #42763C2semidirect
3. #42747C2semidirect
4. #42737C2semidirect
5. #42735C2semidirect
6. #42596C2semidirect
7. #42594C2semidirect
8. #42558C2semidirect
9. #40566C2semidirect
10. #40545C2semidirect
11. #40203C2semidirect
12. #40154C2semidirect
13. #40151C2semidirect
14. #40093C2semidirect
15. #39665C2semidirect
16. #39660C2semidirect
17. #39535C2semidirect
18. #39007C2semidirect
19. #38393C2semidirect
20. #38055C2semidirect
21. #35628C2semidirect
22. #35619C2semidirect
24. #35575C2semidirect
25. #35566C2semidirect
26. #35545C2semidirect
27. #35312C2semidirect
28. #35307C2semidirect
30. #34947C2semidirect
31. #34816C2semidirect
32. C2×#2451C2semidirect
34. #34216C2semidirect
35. #34187C2semidirect

Maximal subgroups

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

subgroupindex
#427792
#427632
#427472
#427372
#427352
#425962
#425942
#425582
#405662
#405452
#402032
#401542
#401512
#400932
#396652
#396602
#395352
#390072
#383932
#380552
#356282
#356192
#355922
#355752
#355662
#355452
#353122
#353072
#351532
#349472
#348162
C2×#24512
#342672
#342162
#341872