Finite Group Databasebeta

← #8093508

Subgroups — #8093508

Order 512.

4802 conjugacy classes of subgroups.

The subgroup lattice has 1807 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53148C212yesmaximal, complemented
2#53135C212yesmaximal, complemented
3#53097C212yesmaximal, complemented
4#53094C212yesmaximal, complemented
5#53071C212yesmaximal, complemented
6#53070C212yesmaximal, complemented
7#53061C212yesmaximal, complemented
8#53056C212yesmaximal, complemented
9#53054C212yesmaximal, complemented
10#53049C212yesmaximal, complemented
11#53025C212yesmaximal, complemented
12#53010C212yesmaximal, complemented
13#52982C212yesmaximal, complemented
14#52975C212yesmaximal, complemented
15#52972C212yesmaximal, complemented
16#52970C212yesmaximal, complemented
17#52720C214yesmaximal, complemented
18#52425C214yesmaximal, complemented
19#52321C214yesmaximal, complemented
20#52317C214yesmaximal, complemented
21#35620C211yesmaximal, characteristic, complemented
22#35618C211yesmaximal, characteristic, complemented
23#35592C211yesmaximal, characteristic, complemented
24#35575C211yesmaximal, characteristic, complemented
25#35574C211yesmaximal, characteristic, complemented
26#35564C211yesmaximal, characteristic, complemented
27#35543C211yesmaximal, characteristic, complemented
28#35542C211yesmaximal, characteristic, complemented
29#35518C211yesmaximal, characteristic, complemented
30#35518C211yesmaximal, characteristic, complemented
31#35517C211yesmaximal, characteristic, complemented
32#35516C211yesmaximal, characteristic, complemented
33#34635C211yesmaximal, characteristic, complemented
34#34633C211yesmaximal, characteristic, complemented
35C2×#2628C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C22×C4⋊Q8C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×#520C2211yescharacteristic
46C2×#520C2211yescharacteristic
47C22×#117C2211yescharacteristic
48#2841C2214yescomplemented
49#2841C2214yescomplemented
50#2839C2214yescomplemented
51#2839C2214yescomplemented
52#2837C2214yes—
53#2837C2214yes—
54#2837C2214yescomplemented
55#2836C2214yes—
56#2832C2214yes—
57#2832C2214yes—
58#2832C2214yescomplemented
59#2831C2214yes—
60#2831C2214yescomplemented
61#2831C2214yescomplemented
62#2831C2214yescomplemented
63#2831C2214yescomplemented
64#2830C2214yes—
65#2830C2214yescomplemented
66#2829C2214yes—
67#2829C2214yes—
68#2827C2214yes—
69#2827C2214yescomplemented
70#2826C2214yescomplemented
71#2824C2214yes—
72#2824C2214yes—
73#2824C2214yescomplemented
74#2820C2214yescomplemented
75#2819C2214yes—
76#2816C2214yes—
77#2816C2214yes—
78#2814C2214yescomplemented
79#2813C2214yes—
80#2808C2214yes—
81#2806C2214yescomplemented
82#2798C2214yes—
83#2788C2214yescomplemented
84#2781C2214yescomplemented
85#2772C2214yescomplemented
86#2755C2214yescomplemented
87#2754C2214yes—
88#2754C2214yescomplemented
89#2751C2214yes—
90#2750C2214yescomplemented
91#2750C2214yescomplemented
92#2744C2214yescomplemented
93#2743C2214yescomplemented
94#2741C2214yes—
95#2740C2214yes—
96#2739C2214yescomplemented
97#2730C2214yes—
98#2711C2214yes—
99#2710C2214yes—
100#2710C2214yes—
101#2704C2214yescomplemented
102#2700C2214yes—
103#2700C2214yescomplemented
104#2696C2214yes—
105#2694C2214yes—
106#2692C2214yescomplemented
107#2686C2214yes—
108#2686C2214yescomplemented
109#2676C2214yes—
110#2672C2214yescomplemented
111#2671C2214yes—
112#2628C2212yes—
113#2628C2212yes—
114#2628C2212yes—
115#2628C2212yes—
116#2628C2212yes—
117#2628C2212yes—
118#2628C2212yes—
119#2628C2212yes—
120#2625C2211yescharacteristic
121#2625C2211yescharacteristic
122#2625C2211yescharacteristic
123#2625C2211yescharacteristic
124#2624C2211yescharacteristic
125#2624C2211yescharacteristic
126#2624C2211yescharacteristic
127#2624C2211yescharacteristic
128#2623C2212yes—
129#2623C2212yes—
130#2622C2212yes—
131#2622C2212yes—
132#2621C2211yescharacteristic
133#2621C2211yescharacteristic
134#2620C2211yescharacteristic
135#2620C2211yescharacteristic
136#2620C2211yescharacteristic
137#2620C2211yescharacteristic
138#2619C2211yescharacteristic
139#2619C2211yescharacteristic
140#2618C2212yes—
141#2618C2212yes—
142#2617C2212yes—
143#2617C2212yes—
144#2591C2214yes—
145#2579C2214yes—
146#2571C2212yescomplemented
147#2570C2212yescomplemented
148#2570C2212yescomplemented
149#2568C2212yescomplemented
150#2566C2212yescomplemented
151#2565C2212yescomplemented
152#2564C2214yes—
153#2563C2212yes—
154#2563C2212yescomplemented
155#2562C2212yes—
156#2562C2212yes—
157#2552C2212yescomplemented
158#2547C2212yes—
159#2543C2214yes—
160#2538C2212yes—
161#2538C2212yes—
162#2537C2212yes—
163#2537C2212yes—
164#2536C2212yes—
165#2536C2212yes—
166#2535C2212yes—
167#2535C2212yes—
168#2509C2212yescomplemented
169#2508C2212yescomplemented
170#2507C2212yescomplemented
171#2506C2212yescomplemented
172#2505C2214yes—
173#2504C2212yescomplemented
174#2503C2212yescomplemented
175#2500C2212yescomplemented
176#2499C2212yescomplemented
177#2492C2212yes—
178#2492C2212yescomplemented
179#2492C2212yescomplemented
180#2492C2212yescomplemented
181#2492C2212yescomplemented
182#2491C2212yes—
183#2491C2212yescomplemented
184#2491C2212yescomplemented
185#2491C2212yescomplemented
186#2491C2212yescomplemented
187#2490C2212yes—
188#2489C2212yes—
189#2488C2214yes—
190#2487C2212yes—
191#2487C2212yescomplemented
192#2486C2212yes—
193#2486C2212yescomplemented
194#2485C2212yes—
195#2485C2212yes—
196#2485C2212yescomplemented
197#2485C2212yescomplemented
198#2473C2214yes—
199#2472C2214yes—
200#2454C2212yescomplemented
201#2453C2212yescomplemented
202#2452C2212yescomplemented
203#2452C2212yescomplemented
204#2452C2212yescomplemented
205#2451C2212yescomplemented
206#2451C2212yescomplemented
207#2451C2212yescomplemented
208#2450C2214yes—
209#2450C2214yes—
210#2448C2212yescomplemented
211#2447C2212yescomplemented
212#2446C2212yescomplemented
213#2445C2212yescomplemented
214#2444C2214yes—
215#2444C2214yes—
216#2444C2214yes—
217#2443C2214yes—
218#2442C2212yescomplemented
219#2442C2212yescomplemented
220#2442C2212yescomplemented
221#2441C2212yescomplemented
222#2440C2212yescomplemented
223#2440C2212yescomplemented
224#2440C2212yescomplemented
225#2439C2212yescomplemented
226#2439C2212yescomplemented
227#2439C2212yescomplemented
228#2439C2212yescomplemented
229#2439C2212yescomplemented
230#2436C2214yes—
231#2429C2212yescomplemented
232#2428C2212yescomplemented
233#2427C2212yescomplemented
234#2426C2212yescomplemented
235#2425C2214yes—
236#2425C2214yes—
237#2424C2214yes—
238#2424C2214yes—
239#2423C2212yes—
240#2422C2212yes—
241#2421C2212yes—
242#2421C2212yescomplemented
243#2421C2212yescomplemented
244#2420C2212yes—
245#2420C2212yescomplemented
246#2420C2212yescomplemented
247#2419C2214yes—
248#2418C2214yes—
249#2417C2212yes—
250#2417C2214yes—
251#2417C2212yes—
252#2417C2212yescomplemented
253#2416C2212yes—
254#2416C2214yes—
255#2416C2212yes—
256#2416C2212yescomplemented
257#2415C2212yes—
258#2415C2212yes—
259#2415C2212yescomplemented
260#2414C2212yes—
261#2414C2212yes—
262#2414C2212yescomplemented
263#2409C2214yes—
264#2395C2212yes—
265#2395C2212yes—
266#2395C2212yes—
267#2395C2212yes—
268C2×#400C2212yes—
269C2×#399C2212yes—
270#2392C2212yes—
271#2392C2212yes—
272#2392C2212yes—
273#2392C2212yes—
274C2×#395C2212yes—
275C2×#393C2212yes—
276#2317C2211yescharacteristic
277#2317C2211yescharacteristic
278#2317C2211yescharacteristic
279#2316C2211yescharacteristic
280#2311C2211yescharacteristic
281#2311C2211yescharacteristic
282#2311C2211yescharacteristic
283#2311C2211yescharacteristic
284#2311C2211yescharacteristic
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic
288#2297C2211yescharacteristic
289#2296C2211yescharacteristic
290#2296C2211yescharacteristic
291C2×#389C2211yescharacteristic
292C2×#389C2211yescharacteristic
293#2285C2211yescharacteristic
294C2×#382C2211yescharacteristic
295#2280C2211yescharacteristic
296C2×#380C2211yescharacteristic
297C2×#380C2211yescharacteristic
298#2274C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2311yescharacteristic
302C23×Q8C2312yes—
303C24×C4C2311yescharacteristic
304#544—44no—
305#537—44no—
306#537—44no—
307#532—44no—
308C2×C4⋊Q8—44no—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×#127C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#124C2311yescharacteristic
321C2×#124C2311yescharacteristic
322C2×#124C2314yes—
323C2×#124C2314yes—
324C2×#124C2314yes—
325#525—44no—
326#525—44no—
327#525—44no—
328C2×#123C2312yes—
329C2×#123C2312yes—
330C2×#123C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×#121C2314yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2311yescharacteristic
351C2×#121C2311yescharacteristic
352C2×#121C2311yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#121C2311yescharacteristic
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#120C2312yes—
365C2×#120C2312yes—
366C2×#120C2312yes—
367#520—44no—
368#520—44no—
369#520—44no—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×#117—44no—
388C2×#117C2311yescharacteristic
389C2×#117C2311yescharacteristic
390C2×#117C2311yescharacteristic
391C2×#117C2311yescharacteristic
392C2×#117C2311yescharacteristic
393C2×#117C2311yescharacteristic
394C2×#117C2311yescharacteristic
395C2×#117C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2311yescharacteristic
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C22×C4⋊C4C2311yescharacteristic
405C22×C4⋊C4C2311yescharacteristic
406C22×C4⋊C4C2311yescharacteristic
407C22×C4⋊C4C2311yescharacteristic
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2311yescharacteristic
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C22⋊C4C2311yescharacteristic
417C22×C22⋊C4C2311yescharacteristic
418C22×C22⋊C4C2312yes—
419C22×C22⋊C4C2312yes—
420C22×C42C2311yescharacteristic
421C22×C42C2311yescharacteristic
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2312yes—
438#400C2312yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2312yes—
443#400C2314yes—
444#400C2312yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2312yes—
450#399C2312yes—
451#399C2314yes—
452#399C2314yes—
453#399C2314yes—
454#399C2312yes—
455#399C2312yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2312yes—
469#398C2312yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2312yes—
474#398C2312yes—
475#398C2312yes—
476#398C2312yes—
477#398C2312yes—
478#398C2312yes—
479#397C2314yes—
480#397C2314yes—
481#397C2312yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2312yes—
486#397C2314yes—
487#397C2314yes—
488#397C2312yes—
489#397C2314yes—
490#397C2312yes—
491#397C2314yes—
492#397C2314yes—
493#397C2312yes—
494#397C2314yes—
495#397C2312yes—
496#397C2314yes—
497#397C2312yes—
498#397C2314yes—
499#397C2314yes—
500#397C2312yes—
501#397C2312yes—
502#397C2314yes—
503#397C2312yes—
504#397C2312yes—
505#397C2312yes—
506#397C2312yes—
507#397C2312yes—
508#397C2312yes—
509#397C2312yes—
510#396C2312yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2312yes—
519#396C2314yes—
520#396C2312yes—
521#396C2312yes—
522#396C2312yes—
523#396C2312yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2312yes—
529#396C2312yes—
530#395C2314yes—
531#395C2314yes—
532#395C2314yes—
533#395C2314yes—
534#395C2314yes—
535#395C2314yes—
536#395C2314yes—
537#394C2312yes—
538#394C2312yes—
539#394C2312yes—
540#394C2312yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2312yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2312yes—
555#394C2312yes—
556#394C2314yes—
557#394C2314yes—
558#394C2312yes—
559#394C2314yes—
560#394C2312yes—
561#394C2314yes—
562#394C2314yes—
563#394C2312yes—
564#394C2312yes—
565#394C2312yes—
566#394C2314yes—
567#394C2314yes—
568#394C2312yes—
569#394C2312yes—
570#394C2312yes—
571#394C2312yes—
572#394C2312yes—
573#394C2312yes—
574#394C2312yes—
575#394C2312yes—
576#393C2314yes—
577#393C2314yes—
578#393C2314yes—
579#393C2314yes—
580#393C2314yes—
581#393C2314yes—
582#393C2314yes—
583#393C2314yes—
584#393C2314yes—
585#393C2314yes—
586#393C2314yes—
587#393C2314yes—
588#393C2314yes—
589#393C2314yes—
590#393C2314yes—
591#392C2312yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2312yes—
596#392C2312yes—
597#392C2312yes—
598#391C2311yescharacteristic
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2312yes—
604#391C2311yescharacteristic
605#391C2314yes—
606#391C2314yes—
607#391C2314yes—
608#391C2314yes—
609#391C2314yes—
610#391C2314yes—
611#391C2314yes—
612#391C2314yes—
613#391C2311yescharacteristic
614#391C2311yescharacteristic
615#391C2311yescharacteristic
616#391C2311yescharacteristic
617#391C2311yescharacteristic
618#391C2311yescharacteristic
619#390C2314yes—
620#390C2311yescharacteristic
621#390C2312yes—
622#390C2311yescharacteristic
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2314yes—
628#390C2314yes—
629#390C2314yes—
630#390C2311yescharacteristic
631#390C2311yescharacteristic
632#390C2311yescharacteristic
633#390C2311yescharacteristic
634#390C2311yescharacteristic
635#390C2311yescharacteristic
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2314yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2314yes—
650#389C2314yes—
651#389C2314yes—
652#389C2314yes—
653#389C2314yes—
654#389C2311yescharacteristic
655#389C2311yescharacteristic
656#389C2311yescharacteristic
657#389C2311yescharacteristic
658#389C2311yescharacteristic
659#389C2311yescharacteristic
660#389C2311yescharacteristic
661#389C2311yescharacteristic
662#389C2312yes—
663#389C2312yes—
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#386C2312yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#386C2312yes—
726#386C2312yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2312yes—
739#385C2312yes—
740#385C2312yes—
741#385C2312yes—
742#384C2312yes—
743#384C2311yescharacteristic
744#384C2312yes—
745#384C2312yes—
746#384C2311yescharacteristic
747#382C2314yes—
748#382C2312yes—
749#382C2312yes—
750#382C2314yes—
751#382C2312yes—
752#382C2312yes—
753#382C2311yescharacteristic
754#382C2311yescharacteristic
755#382C2312yes—
756#382C2312yes—
757#382C2312yes—
758#381C2314yes—
759#381C2314yes—
760#381C2314yes—
761#381C2314yes—
762#381C2312yes—
763#380C2312yes—
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2311yescharacteristic
771#380C2312yes—
772#380C2314yes—
773#380C2314yes—
774#380C2312yes—
775#380C2314yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2314yes—
783#380C2314yes—
784#380C2314yes—
785#380C2312yes—
786#380C2311yescharacteristic
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2314yes—
794#379C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
822C25C2411yescharacteristic
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C22×Q8—44no—
833C22×Q8—82no—
834C22×Q8—82no—
835C22×Q8C2411yescharacteristic
836C22×Q8C2411yescharacteristic
837C22×Q8C2411yescharacteristic
838C22×Q8C2414yes—
839C22×Q8C2414yes—
840C22×Q8C2414yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C23×C4—24no—
858C23×C4—24no—
859C23×C4—24no—
860C23×C4C2411yescharacteristic
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2414yes—
877C23×C4C2414yes—
878C23×C4C2414yes—
879C23×C4C2411yescharacteristic
880C4⋊Q8—44no—
881C4⋊Q8—44no—
882C4⋊Q8—44no—
883C4⋊Q8—44no—
884C4⋊Q8—44no—
885C4⋊Q8—44no—
886C4⋊Q8—42no—
887#127—42no—
888#125—44no—
889#125—44no—
890#125—84no—
891#124—42no—
892#124—42no—
893#124—84no—
894#124—84no—
895#124—84no—
896#123—44no—
897#123—44no—
898#123—44no—
899#123—84no—
900#123—84no—
901C22⋊Q8—48no—
902C22⋊Q8—42no—
903C22⋊Q8—42no—
904C22⋊Q8—42no—
905C22⋊Q8—42no—
906C22⋊Q8—42no—
907C22⋊Q8—42no—
908C22⋊Q8—44no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—44no—
912C22⋊Q8—84no—
913C22⋊Q8—84no—
914C22⋊Q8—84no—
915#121—42no—
916#121—42no—
917#121—42no—
918#121—42no—
919#121—42no—
920#121—42no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—48no—
928#121—48no—
929#121—84no—
930#121—84no—
931#121—84no—
932#120—44no—
933#120—44no—
934#120—44no—
935C4×Q8—44no—
936C4×Q8—44no—
937C4×Q8—44no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—48no—
950C4×D4—48no—
951C4×D4—48no—
952#117—24no—
953#117—24no—
954#117—24no—
955#117—24no—
956#117—24no—
957#117—42no—
958#117—42no—
959#117—42no—
960#117—42no—
961#117—42no—
962#117—42no—
963#117—42no—
964#117—42no—
965#117—44no—
966#117—44no—
967#117—44no—
968C2×C4⋊C4—24no—
969C2×C4⋊C4—24no—
970C2×C4⋊C4—24no—
971C2×C4⋊C4—24no—
972C2×C4⋊C4—44no—
973C2×C4⋊C4—44no—
974C2×C4⋊C4—44no—
975C2×C4⋊C4—42no—
976C2×C4⋊C4—42no—
977C2×C4⋊C4—44no—
978C2×C4⋊C4—82no—
979C2×C4⋊C4—82no—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C22⋊C4—42no—
1049C2×C22⋊C4—42no—
1050C2×C22⋊C4—82no—
1051C2×C22⋊C4—82no—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C42—24no—
1123C2×C42—24no—
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2414yes—
1138C2×C42C2414yes—
1139C2×C42C2414yes—
1140C2×C42C2414yes—
1141C2×C42C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206C24—22no—
1207C24—22no—
1208C24—22no—
1209C24—41no—
1210C24—41no—
1211C24—41no—
1212C24—41no—
1213C24C2511yescharacteristic
1214C24C2511yescharacteristic
1215C24C2512yes—
1216C24C2512yes—
1217C24C2512yes—
1218C24C2511yescharacteristic
1219#41—416no—
1220#41—416no—
1221#41—416no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—22no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—22no—
1230C2×Q8—22no—
1231C2×Q8—44no—
1232C2×Q8—44no—
1233C2×Q8—44no—
1234C2×Q8—44no—
1235C2×Q8—44no—
1236C2×Q8—44no—
1237C2×Q8—44no—
1238C2×Q8—44no—
1239C2×Q8—44no—
1240C2×Q8—816no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—41no—
1334C22×C4—42no—
1335C22×C4—41no—
1336C22×C4—42no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—416no—
1347C22×C4H(5,𝔽2)14yes—
1348C22×C4H(5,𝔽2)14yes—
1349C22×C42−1+414yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2514yes—
1364C22×C4C2512yes—
1365C22×C4C2514yes—
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2512yes—
1369C22×C4C2514yes—
1370C22×C4C2512yes—
1371C22×C4C2514yes—
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2512yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—41no—
1398C4⋊C4—41no—
1399C4⋊C4—41no—
1400C4⋊C4—41no—
1401C4⋊C4—41no—
1402C4⋊C4—41no—
1403C4⋊C4—41no—
1404C4⋊C4—41no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—42no—
1415C4⋊C4—44no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—42no—
1444C4⋊C4—44no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—22no—
1522C42—22no—
1523C42—22no—
1524C42—22no—
1525C42—24no—
1526C42—24no—
1527C42—24no—
1528C42—24no—
1529C42—24no—
1530C42—44no—
1531C42—44no—
1532C42—44no—
1533C42—44no—
1534C42—44no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—22no—
1549C23—21no—
1550C23—21no—
1551C23—22no—
1552C23—22no—
1553C23—22no—
1554C23—21no—
1555C23—21no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—21no—
1561C23—21no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—21no—
1569C23—21no—
1570C23—22no—
1571C23—22no—
1572C23—21no—
1573C23—21no—
1574C23—44no—
1575C23—44no—
1576C23—44no—
1577C23—82no—
1578C23—82no—
1579C23—82no—
1580C23—82no—
1581C23C2×H(5,𝔽2)12yes—
1582C23C2×H(5,𝔽2)12yes—
1583C23C2×2−1+412yes—
1584C23C2611yescharacteristic
1585Q8—44no—
1586Q8—44no—
1587Q8—44no—
1588Q8—88no—
1589Q8—88no—
1590Q8—164no—
1591D4—48no—
1592D4—48no—
1593D4—48no—
1594D4—44no—
1595D4—44no—
1596D4—44no—
1597D4—84no—
1598D4—84no—
1599D4—84no—
1600D4—84no—
1601D4—84no—
1602D4—84no—
1603D4—84no—
1604D4—84no—
1605D4—164no—
1606D4—164no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—24no—
1627C2×C4—24no—
1628C2×C4—24no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—24no—
1649C2×C4—24no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—24no—
1653C2×C4—24no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—24no—
1659C2×C4—21no—
1660C2×C4—24no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—24no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—21no—
1688C2×C4—44no—
1689C2×C4—44no—
1690C2×C4—44no—
1691C2×C4—44no—
1692C2×C4—44no—
1693C2×C4—44no—
1694C2×C4—44no—
1695C2×C4—48no—
1696C2×C4—48no—
1697C2×C4—48no—
1698C2×C4—82no—
1699C2×C4—84no—
1700C2×C4—84no—
1701C2×C4—82no—
1702C2×C4—84no—
1703C2×C4—84no—
1704C2×C4—164no—
1705C2×C4—164no—
1706C2×C4—164no—
1707C2×C4#562116yes—
1708C2×C4C2×H(5,𝔽2)12yes—
1709C2×C4C2×H(5,𝔽2)12yes—
1710C2×C4C2×H(5,𝔽2)12yes—
1711C2×C4C2×H(5,𝔽2)12yes—
1712C2×C4C2×2−1+412yes—
1713C2×C4C2×2−1+412yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—42no—
1721C22—41no—
1722C22—42no—
1723C22—42no—
1724C22—41no—
1725C22—42no—
1726C22—42no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—42no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—42no—
1736C22—42no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—41no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—42no—
1753C22—42no—
1754C22—42no—
1755C22—88no—
1756C22C2×#56214yes—
1757C22C22×H(5,𝔽2)11yescharacteristic
1758C22C22×H(5,𝔽2)11yescharacteristic
1759C22C22×2−1+411yescharacteristic
1760C22H(7,𝔽2)11yescharacteristic
1761C22H(7,𝔽2)11yescharacteristic
1762C222−1+611yescharacteristic
1763C222−1+611yescharacteristic
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—44no—
1768C4—41no—
1769C4—44no—
1770C4—42no—
1771C4—42no—
1772C4—42no—
1773C4—44no—
1774C4—44no—
1775C4—42no—
1776C4—42no—
1777C4—42no—
1778C4—42no—
1779C4—42no—
1780C4—42no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—42no—
1786C4—41no—
1787C4—41no—
1788C4—42no—
1789C4—42no—
1790C4—42no—
1791C4C2×#56214yes—
1792C4C2×#56214yes—
1793C2—24no—
1794C2—82no—
1795C2—82no—
1796C2—82no—
1797C2—81no—
1798C2—81no—
1799C2C22×#56211yescharacteristic
1800C2#6287411yescharacteristic
1801C2#6287711yescharacteristic
1802C2#6287711yescharacteristic
1803C2#6287811yescharacteristic
1804C2#6287811yescharacteristic
1805C2#6288611yescharacteristic
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. #53148C2semidirect
2. #53135C2semidirect
3. #53097C2semidirect
4. #53094C2semidirect
5. #53071C2semidirect
6. #53070C2semidirect
7. #53061C2semidirect
8. #53056C2semidirect
9. #53054C2semidirect
10. #53049C2semidirect
11. #53025C2semidirect
12. #53010C2semidirect
13. #52982C2semidirect
14. #52975C2semidirect
15. #52972C2semidirect
16. #52970C2semidirect
17. #52720C2semidirect
18. #52425C2semidirect
19. #52321C2semidirect
20. #52317C2semidirect
21. #35620C2semidirect
22. #35618C2semidirect
23. #35592C2semidirect
24. #35575C2semidirect
25. #35574C2semidirect
26. #35564C2semidirect
27. #35543C2semidirect
28. #35542C2semidirect
29. #35518C2semidirect
30. #35518C2semidirect
31. #35517C2semidirect
32. #35516C2semidirect
33. #34635C2semidirect
34. #34633C2semidirect
35. C2×#2628C2semidirect
48. #2841C22semidirect
49. #2841C22semidirect
50. #2839C22semidirect
51. #2839C22semidirect
54. #2837C22semidirect
58. #2832C22semidirect
60. #2831C22semidirect
61. #2831C22semidirect
62. #2831C22semidirect
63. #2831C22semidirect
65. #2830C22semidirect
69. #2827C22semidirect
70. #2826C22semidirect
73. #2824C22semidirect
74. #2820C22semidirect
78. #2814C22semidirect
81. #2806C22semidirect
83. #2788C22semidirect
84. #2781C22semidirect
85. #2772C22semidirect
86. #2755C22semidirect
88. #2754C22semidirect
90. #2750C22semidirect
91. #2750C22semidirect
92. #2744C22semidirect
93. #2743C22semidirect
96. #2739C22semidirect
101. #2704C22semidirect
103. #2700C22semidirect
106. #2692C22semidirect
108. #2686C22semidirect
110. #2672C22semidirect
146. #2571C22semidirect
147. #2570C22semidirect
148. #2570C22semidirect
149. #2568C22semidirect
150. #2566C22semidirect
151. #2565C22semidirect
154. #2563C22semidirect
157. #2552C22semidirect
168. #2509C22semidirect
169. #2508C22semidirect
170. #2507C22semidirect
171. #2506C22semidirect
173. #2504C22semidirect
174. #2503C22semidirect
175. #2500C22semidirect
176. #2499C22semidirect
178. #2492C22semidirect
179. #2492C22semidirect
180. #2492C22semidirect
181. #2492C22semidirect
183. #2491C22semidirect
184. #2491C22semidirect
185. #2491C22semidirect
186. #2491C22semidirect
191. #2487C22semidirect
193. #2486C22semidirect
196. #2485C22semidirect
197. #2485C22semidirect
200. #2454C22semidirect
201. #2453C22semidirect
202. #2452C22semidirect
203. #2452C22semidirect
204. #2452C22semidirect
205. #2451C22semidirect
206. #2451C22semidirect
207. #2451C22semidirect
210. #2448C22semidirect
211. #2447C22semidirect
212. #2446C22semidirect
213. #2445C22semidirect
218. #2442C22semidirect
219. #2442C22semidirect
220. #2442C22semidirect
221. #2441C22semidirect
222. #2440C22semidirect
223. #2440C22semidirect
224. #2440C22semidirect
225. #2439C22semidirect
226. #2439C22semidirect
227. #2439C22semidirect
228. #2439C22semidirect
229. #2439C22semidirect
231. #2429C22semidirect
232. #2428C22semidirect
233. #2427C22semidirect
234. #2426C22semidirect
242. #2421C22semidirect
243. #2421C22semidirect
245. #2420C22semidirect
246. #2420C22semidirect
252. #2417C22semidirect
256. #2416C22semidirect
259. #2415C22semidirect
262. #2414C22semidirect

Maximal subgroups

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

subgroupindex
#531482
#531352
#530972
#530942
#530712
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C2×#26282