Finite Group Databasebeta

← #8093524

Subgroups — #8093524

Order 512.

4770 conjugacy classes of subgroups.

The subgroup lattice has 1804 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53149C212yesmaximal, complemented
2#53134C212yesmaximal, complemented
3#53122C212yesmaximal, complemented
4#53101C212yesmaximal, complemented
5#53069C212yesmaximal, complemented
6#53068C212yesmaximal, complemented
7#53062C212yesmaximal, complemented
8#53057C212yesmaximal, complemented
9#53052C212yesmaximal, complemented
10#53050C212yesmaximal, complemented
11#53024C212yesmaximal, complemented
12#53019C212yesmaximal, complemented
13#53016C212yesmaximal, complemented
14#52976C212yesmaximal, complemented
15#52963C212yesmaximal, complemented
16#52959C212yesmaximal, complemented
17#52376C214yesmaximal, complemented
18#52370C214yesmaximal, complemented
19#52350C214yesmaximal, complemented
20#52343C214yesmaximal, complemented
21#35649C211yesmaximal, characteristic, complemented
22#35639C211yesmaximal, characteristic, complemented
23#35575C211yesmaximal, characteristic, complemented
24#35564C211yesmaximal, characteristic, complemented
25#35543C211yesmaximal, characteristic, complemented
26#35542C211yesmaximal, characteristic, complemented
27#35532C211yesmaximal, characteristic, complemented
28#35530C211yesmaximal, 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×#2629C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C22×#125C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×#520C2211yescharacteristic
46C2×#520C2211yescharacteristic
47C22×#117C2211yescharacteristic
48#2845C2214yescomplemented
49#2841C2214yescomplemented
50#2839C2214yescomplemented
51#2837C2214yes—
52#2837C2214yes—
53#2837C2214yescomplemented
54#2837C2214yescomplemented
55#2836C2214yes—
56#2836C2214yescomplemented
57#2836C2214yescomplemented
58#2836C2214yescomplemented
59#2836C2214yescomplemented
60#2831C2214yes—
61#2831C2214yescomplemented
62#2830C2214yes—
63#2829C2214yes—
64#2829C2214yes—
65#2829C2214yes—
66#2829C2214yes—
67#2829C2214yescomplemented
68#2827C2214yes—
69#2827C2214yescomplemented
70#2827C2214yescomplemented
71#2827C2214yescomplemented
72#2826C2214yes—
73#2826C2214yes—
74#2820C2214yes—
75#2816C2214yescomplemented
76#2814C2214yes—
77#2814C2214yescomplemented
78#2813C2214yes—
79#2813C2214yes—
80#2802C2214yescomplemented
81#2800C2214yes—
82#2800C2214yes—
83#2786C2214yes—
84#2783C2214yes—
85#2783C2214yescomplemented
86#2781C2214yes—
87#2779C2214yes—
88#2772C2214yes—
89#2768C2214yescomplemented
90#2768C2214yescomplemented
91#2761C2214yes—
92#2761C2214yescomplemented
93#2755C2214yescomplemented
94#2747C2214yescomplemented
95#2744C2214yescomplemented
96#2741C2214yescomplemented
97#2740C2214yescomplemented
98#2732C2214yescomplemented
99#2730C2214yes—
100#2711C2214yes—
101#2708C2214yescomplemented
102#2706C2214yes—
103#2706C2214yescomplemented
104#2704C2214yescomplemented
105#2701C2214yes—
106#2694C2214yescomplemented
107#2687C2214yescomplemented
108#2682C2214yes—
109#2681C2214yes—
110#2676C2214yes—
111#2672C2214yes—
112#2629C2212yes—
113#2629C2212yes—
114#2629C2212yes—
115#2629C2212yes—
116#2629C2212yes—
117#2629C2212yes—
118#2629C2212yes—
119#2629C2212yes—
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#2567C2212yescomplemented
150#2566C2212yescomplemented
151#2565C2212yescomplemented
152#2564C2214yes—
153#2563C2212yes—
154#2562C2212yes—
155#2562C2212yes—
156#2552C2212yescomplemented
157#2547C2212yes—
158#2543C2214yes—
159#2542C2212yescomplemented
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#2504C2214yes—
174#2502C2212yescomplemented
175#2501C2212yescomplemented
176#2500C2212yescomplemented
177#2499C2212yescomplemented
178#2492C2212yes—
179#2491C2212yes—
180#2490C2212yes—
181#2490C2212yescomplemented
182#2490C2212yescomplemented
183#2490C2212yescomplemented
184#2490C2212yescomplemented
185#2489C2212yes—
186#2489C2212yescomplemented
187#2489C2212yescomplemented
188#2489C2212yescomplemented
189#2489C2212yescomplemented
190#2488C2214yes—
191#2487C2214yes—
192#2487C2212yes—
193#2487C2212yescomplemented
194#2486C2212yes—
195#2486C2212yescomplemented
196#2485C2212yes—
197#2485C2212yes—
198#2485C2212yescomplemented
199#2485C2212yescomplemented
200#2473C2214yes—
201#2472C2214yes—
202#2454C2212yescomplemented
203#2454C2212yescomplemented
204#2454C2212yescomplemented
205#2453C2212yescomplemented
206#2453C2212yescomplemented
207#2453C2212yescomplemented
208#2452C2212yescomplemented
209#2451C2212yescomplemented
210#2449C2214yes—
211#2449C2214yes—
212#2448C2212yescomplemented
213#2447C2212yescomplemented
214#2446C2212yescomplemented
215#2445C2212yescomplemented
216#2444C2214yes—
217#2443C2214yes—
218#2443C2214yes—
219#2443C2214yes—
220#2442C2212yescomplemented
221#2442C2212yescomplemented
222#2442C2212yescomplemented
223#2441C2212yescomplemented
224#2441C2212yescomplemented
225#2441C2212yescomplemented
226#2441C2212yescomplemented
227#2441C2212yescomplemented
228#2440C2212yescomplemented
229#2440C2212yescomplemented
230#2440C2212yescomplemented
231#2439C2212yescomplemented
232#2429C2212yescomplemented
233#2428C2212yescomplemented
234#2427C2212yescomplemented
235#2426C2212yescomplemented
236#2425C2214yes—
237#2425C2214yes—
238#2424C2214yes—
239#2424C2214yes—
240#2423C2212yes—
241#2423C2212yescomplemented
242#2423C2212yescomplemented
243#2422C2212yes—
244#2422C2212yescomplemented
245#2422C2212yescomplemented
246#2421C2212yes—
247#2420C2212yes—
248#2419C2214yes—
249#2418C2214yes—
250#2417C2212yes—
251#2417C2212yes—
252#2417C2214yes—
253#2417C2212yescomplemented
254#2416C2214yes—
255#2416C2212yes—
256#2416C2212yes—
257#2416C2212yescomplemented
258#2415C2212yes—
259#2415C2212yes—
260#2415C2212yescomplemented
261#2414C2212yes—
262#2414C2212yes—
263#2414C2212yescomplemented
264#2395C2212yes—
265#2395C2212yes—
266#2395C2212yes—
267#2395C2212yes—
268#2392C2212yes—
269#2392C2212yes—
270#2392C2212yes—
271#2392C2212yes—
272C2×#398C2212yes—
273C2×#398C2212yes—
274C2×#396C2212yes—
275C2×#396C2212yes—
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×#384C2211yescharacteristic
295#2280C2211yescharacteristic
296C2×#380C2211yescharacteristic
297C2×#380C2211yescharacteristic
298#2274C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2311yescharacteristic
302C24×C4C2311yescharacteristic
303#544—44no—
304#537—44no—
305#537—44no—
306#532—44no—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×#127C2311yescharacteristic
311C2×#125—44no—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#124C2311yescharacteristic
320C2×#124C2311yescharacteristic
321C2×#124C2314yes—
322#525—44no—
323#525—44no—
324#525—44no—
325C2×#123C2312yes—
326C2×#123C2312yes—
327C2×#123C2312yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×#121C2314yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2311yescharacteristic
350C2×#121C2311yescharacteristic
351C2×#121C2311yescharacteristic
352C2×#121C2311yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#120C2312yes—
364C2×#120C2312yes—
365C2×#120C2312yes—
366#520—44no—
367#520—44no—
368#520—44no—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×#117—44no—
387C2×#117C2311yescharacteristic
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×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C22×C4⋊C4C2311yescharacteristic
404C22×C4⋊C4C2311yescharacteristic
405C22×C4⋊C4C2311yescharacteristic
406C22×C4⋊C4C2311yescharacteristic
407C22×C4⋊C4C2312yes—
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×C4⋊C4C2312yes—
417C22×C4⋊C4C2312yes—
418C22×C22⋊C4C2311yescharacteristic
419C22×C22⋊C4C2311yescharacteristic
420C22×C22⋊C4C2312yes—
421C22×C22⋊C4C2312yes—
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2312yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2312yes—
439#400C2312yes—
440#400C2312yes—
441#399C2312yes—
442#399C2314yes—
443#399C2314yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2312yes—
448#399C2314yes—
449#399C2314yes—
450#399C2312yes—
451#399C2314yes—
452#399C2314yes—
453#399C2312yes—
454#398C2314yes—
455#398C2314yes—
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#398C2314yes—
469#398C2312yes—
470#398C2314yes—
471#398C2314yes—
472#398C2312yes—
473#398C2312yes—
474#398C2312yes—
475#398C2314yes—
476#398C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2312yes—
481#398C2314yes—
482#398C2312yes—
483#398C2314yes—
484#398C2314yes—
485#398C2312yes—
486#398C2312yes—
487#397C2312yes—
488#397C2314yes—
489#397C2312yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2312yes—
494#397C2314yes—
495#397C2314yes—
496#397C2312yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2312yes—
502#397C2314yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2312yes—
507#397C2314yes—
508#397C2312yes—
509#397C2314yes—
510#397C2312yes—
511#397C2312yes—
512#397C2312yes—
513#397C2312yes—
514#397C2312yes—
515#397C2314yes—
516#397C2312yes—
517#397C2312yes—
518#397C2312yes—
519#397C2312yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2312yes—
532#396C2312yes—
533#396C2314yes—
534#396C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2312yes—
543#396C2312yes—
544#396C2312yes—
545#396C2312yes—
546#396C2312yes—
547#396C2312yes—
548#395C2314yes—
549#395C2314yes—
550#395C2314yes—
551#394C2312yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2312yes—
560#394C2314yes—
561#394C2312yes—
562#394C2312yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2312yes—
569#394C2312yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2312yes—
576#394C2312yes—
577#394C2312yes—
578#394C2312yes—
579#394C2312yes—
580#394C2312yes—
581#394C2314yes—
582#394C2312yes—
583#394C2312yes—
584#394C2312yes—
585#394C2312yes—
586#394C2312yes—
587#394C2312yes—
588#394C2312yes—
589#394C2312yes—
590#393C2314yes—
591#393C2314yes—
592#393C2314yes—
593#392C2312yes—
594#392C2314yes—
595#392C2312yes—
596#392C2314yes—
597#392C2314yes—
598#392C2312yes—
599#392C2312yes—
600#391C2311yescharacteristic
601#391C2312yes—
602#391C2312yes—
603#391C2312yes—
604#391C2312yes—
605#391C2312yes—
606#391C2311yescharacteristic
607#391C2314yes—
608#391C2314yes—
609#391C2311yescharacteristic
610#391C2311yescharacteristic
611#391C2311yescharacteristic
612#391C2311yescharacteristic
613#391C2311yescharacteristic
614#391C2311yescharacteristic
615#390C2314yes—
616#390C2311yescharacteristic
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2314yes—
623#390C2314yes—
624#390C2314yes—
625#390C2314yes—
626#390C2314yes—
627#390C2311yescharacteristic
628#390C2311yescharacteristic
629#390C2311yescharacteristic
630#390C2311yescharacteristic
631#390C2311yescharacteristic
632#390C2311yescharacteristic
633#390C2311yescharacteristic
634#389C2314yes—
635#389C2314yes—
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#389C2314yes—
655#389C2314yes—
656#389C2311yescharacteristic
657#389C2311yescharacteristic
658#389C2311yescharacteristic
659#389C2311yescharacteristic
660#389C2311yescharacteristic
661#389C2311yescharacteristic
662#389C2311yescharacteristic
663#389C2311yescharacteristic
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#389C2312yes—
669#389C2312yes—
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#388C2314yes—
689#388C2314yes—
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#387C2314yes—
705#387C2314yes—
706#386C2312yes—
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#385C2314yes—
739#385C2314yes—
740#385C2312yes—
741#385C2312yes—
742#385C2312yes—
743#385C2312yes—
744#384C2312yes—
745#384C2312yes—
746#384C2312yes—
747#384C2311yescharacteristic
748#384C2312yes—
749#384C2312yes—
750#384C2311yescharacteristic
751#384C2312yes—
752#384C2312yes—
753#382C2314yes—
754#382C2314yes—
755#382C2312yes—
756#382C2312yes—
757#382C2311yescharacteristic
758#382C2311yescharacteristic
759#382C2314yes—
760#382C2312yes—
761#382C2314yes—
762#381C2314yes—
763#381C2314yes—
764#381C2312yes—
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2311yescharacteristic
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2311yescharacteristic
773#380C2312yes—
774#380C2312yes—
775#380C2314yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2314yes—
783#380C2314yes—
784#380C2312yes—
785#380C2311yescharacteristic
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2314yes—
793#380C2314yes—
794#380C2314yes—
795#380C2314yes—
796#379C2312yes—
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×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
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×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×Q8C2414yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2411yescharacteristic
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C23×C4—24no—
853C23×C4—24no—
854C23×C4—24no—
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2414yes—
872C23×C4C2414yes—
873C23×C4C2414yes—
874C23×C4C2411yescharacteristic
875C4⋊Q8—44no—
876C4⋊Q8—44no—
877C4⋊Q8—42no—
878#127—42no—
879#125—44no—
880#125—44no—
881#125—44no—
882#125—44no—
883#125—44no—
884#125—44no—
885#125—84no—
886#124—42no—
887#124—42no—
888#124—84no—
889#123—44no—
890#123—44no—
891#123—44no—
892#123—84no—
893#123—84no—
894#123—84no—
895#123—84no—
896C22⋊Q8—48no—
897C22⋊Q8—42no—
898C22⋊Q8—42no—
899C22⋊Q8—42no—
900C22⋊Q8—42no—
901C22⋊Q8—42no—
902C22⋊Q8—42no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907C22⋊Q8—84no—
908C22⋊Q8—84no—
909C22⋊Q8—84no—
910#121—42no—
911#121—42no—
912#121—42no—
913#121—42no—
914#121—42no—
915#121—42no—
916#121—44no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—48no—
923#121—48no—
924#121—84no—
925#121—84no—
926#121—84no—
927#120—44no—
928#120—44no—
929#120—44no—
930C4×Q8—44no—
931C4×Q8—44no—
932C4×Q8—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—48no—
945C4×D4—48no—
946C4×D4—48no—
947#117—24no—
948#117—24no—
949#117—24no—
950#117—24no—
951#117—24no—
952#117—42no—
953#117—42no—
954#117—42no—
955#117—42no—
956#117—42no—
957#117—42no—
958#117—42no—
959#117—42no—
960#117—44no—
961#117—44no—
962#117—44no—
963C2×C4⋊C4—24no—
964C2×C4⋊C4—24no—
965C2×C4⋊C4—24no—
966C2×C4⋊C4—24no—
967C2×C4⋊C4—44no—
968C2×C4⋊C4—44no—
969C2×C4⋊C4—44no—
970C2×C4⋊C4—42no—
971C2×C4⋊C4—42no—
972C2×C4⋊C4—44no—
973C2×C4⋊C4—44no—
974C2×C4⋊C4—82no—
975C2×C4⋊C4—82no—
976C2×C4⋊C4—82no—
977C2×C4⋊C4—82no—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
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⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C22⋊C4—42no—
1053C2×C22⋊C4—42no—
1054C2×C22⋊C4—82no—
1055C2×C22⋊C4—82no—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C42—24no—
1127C2×C42—24no—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2414yes—
1142C2×C42C2414yes—
1143C2×C42C2414yes—
1144C2×C42C2414yes—
1145C2×C42C2414yes—
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×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
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—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—41no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—41no—
1323C22×C4—42no—
1324C22×C4—41no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—41no—
1328C22×C4—42no—
1329C22×C4—41no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—416no—
1340C22×C4H(5,𝔽2)14yes—
1341C22×C4H(5,𝔽2)14yes—
1342C22×C42−1+414yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C22×C4C2512yes—
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2514yes—
1357C22×C4C2514yes—
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2514yes—
1368C22×C4C2512yes—
1369C22×C4C2514yes—
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—41no—
1391C4⋊C4—41no—
1392C4⋊C4—41no—
1393C4⋊C4—41no—
1394C4⋊C4—41no—
1395C4⋊C4—41no—
1396C4⋊C4—41no—
1397C4⋊C4—41no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
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—42no—
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—44no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—42no—
1443C4⋊C4—44no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
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—42no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—44no—
1515C22⋊C4—42no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—22no—
1522C42—22no—
1523C42—22no—
1524C42—24no—
1525C42—24no—
1526C42—24no—
1527C42—24no—
1528C42—24no—
1529C42—44no—
1530C42—44no—
1531C42—44no—
1532C42—44no—
1533C42—44no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—21no—
1549C23—21no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—21no—
1554C23—21no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—21no—
1559C23—21no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—21no—
1568C23—21no—
1569C23—22no—
1570C23—22no—
1571C23—21no—
1572C23—21no—
1573C23—44no—
1574C23—44no—
1575C23—44no—
1576C23—82no—
1577C23—82no—
1578C23—82no—
1579C23—82no—
1580C23C2×H(5,𝔽2)12yes—
1581C23C2×H(5,𝔽2)12yes—
1582C23C2×2−1+412yes—
1583C23C2611yescharacteristic
1584Q8—44no—
1585Q8—44no—
1586Q8—44no—
1587Q8—164no—
1588D4—48no—
1589D4—48no—
1590D4—48no—
1591D4—44no—
1592D4—44no—
1593D4—44no—
1594D4—84no—
1595D4—84no—
1596D4—84no—
1597D4—84no—
1598D4—84no—
1599D4—84no—
1600D4—84no—
1601D4—84no—
1602D4—164no—
1603D4—164no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
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—24no—
1624C2×C4—24no—
1625C2×C4—24no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—24no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—24no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—24no—
1648C2×C4—24no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—24no—
1657C2×C4—24no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—24no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—24no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—24no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—44no—
1686C2×C4—44no—
1687C2×C4—44no—
1688C2×C4—44no—
1689C2×C4—44no—
1690C2×C4—44no—
1691C2×C4—44no—
1692C2×C4—48no—
1693C2×C4—48no—
1694C2×C4—48no—
1695C2×C4—82no—
1696C2×C4—82no—
1697C2×C4—84no—
1698C2×C4—84no—
1699C2×C4—84no—
1700C2×C4—84no—
1701C2×C4—164no—
1702C2×C4—164no—
1703C2×C4—164no—
1704C2×C4#562116yes—
1705C2×C4C2×H(5,𝔽2)12yes—
1706C2×C4C2×H(5,𝔽2)12yes—
1707C2×C4C2×H(5,𝔽2)12yes—
1708C2×C4C2×H(5,𝔽2)12yes—
1709C2×C4C2×2−1+412yes—
1710C2×C4C2×2−1+412yes—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—42no—
1718C22—41no—
1719C22—41no—
1720C22—42no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—41no—
1726C22—41no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—42no—
1738C22—42no—
1739C22—41no—
1740C22—41no—
1741C22—42no—
1742C22—41no—
1743C22—41no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—41no—
1748C22—41no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—88no—
1753C22C2×#56214yes—
1754C22C22×H(5,𝔽2)11yescharacteristic
1755C22C22×H(5,𝔽2)11yescharacteristic
1756C22C22×2−1+411yescharacteristic
1757C22H(7,𝔽2)11yescharacteristic
1758C22H(7,𝔽2)11yescharacteristic
1759C222−1+611yescharacteristic
1760C222−1+611yescharacteristic
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—44no—
1768C4—41no—
1769C4—41no—
1770C4—44no—
1771C4—42no—
1772C4—42no—
1773C4—42no—
1774C4—42no—
1775C4—44no—
1776C4—44no—
1777C4—42no—
1778C4—42no—
1779C4—42no—
1780C4—42no—
1781C4—42no—
1782C4—42no—
1783C4—41no—
1784C4—41no—
1785C4—42no—
1786C4—42no—
1787C4—42no—
1788C4C2×#56214yes—
1789C4C2×#56214yes—
1790C2—24no—
1791C2—82no—
1792C2—82no—
1793C2—82no—
1794C2—81no—
1795C2—81no—
1796C2C22×#56211yescharacteristic
1797C2#6287511yescharacteristic
1798C2#6287511yescharacteristic
1799C2#6287711yescharacteristic
1800C2#6287711yescharacteristic
1801C2#6288011yescharacteristic
1802C2#6288811yescharacteristic
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. #53149C2semidirect
2. #53134C2semidirect
3. #53122C2semidirect
4. #53101C2semidirect
5. #53069C2semidirect
6. #53068C2semidirect
7. #53062C2semidirect
8. #53057C2semidirect
9. #53052C2semidirect
10. #53050C2semidirect
11. #53024C2semidirect
12. #53019C2semidirect
13. #53016C2semidirect
14. #52976C2semidirect
15. #52963C2semidirect
16. #52959C2semidirect
17. #52376C2semidirect
18. #52370C2semidirect
19. #52350C2semidirect
20. #52343C2semidirect
21. #35649C2semidirect
22. #35639C2semidirect
23. #35575C2semidirect
24. #35564C2semidirect
25. #35543C2semidirect
26. #35542C2semidirect
27. #35532C2semidirect
28. #35530C2semidirect
29. #35518C2semidirect
30. #35518C2semidirect
31. #35517C2semidirect
32. #35516C2semidirect
33. #34635C2semidirect
34. #34633C2semidirect
35. C2×#2629C2semidirect
48. #2845C22semidirect
49. #2841C22semidirect
50. #2839C22semidirect
53. #2837C22semidirect
54. #2837C22semidirect
56. #2836C22semidirect
57. #2836C22semidirect
58. #2836C22semidirect
59. #2836C22semidirect
61. #2831C22semidirect
67. #2829C22semidirect
69. #2827C22semidirect
70. #2827C22semidirect
71. #2827C22semidirect
75. #2816C22semidirect
77. #2814C22semidirect
80. #2802C22semidirect
85. #2783C22semidirect
89. #2768C22semidirect
90. #2768C22semidirect
92. #2761C22semidirect
93. #2755C22semidirect
94. #2747C22semidirect
95. #2744C22semidirect
96. #2741C22semidirect
97. #2740C22semidirect
98. #2732C22semidirect
101. #2708C22semidirect
103. #2706C22semidirect
104. #2704C22semidirect
106. #2694C22semidirect
107. #2687C22semidirect
146. #2571C22semidirect
147. #2570C22semidirect
148. #2570C22semidirect
149. #2567C22semidirect
150. #2566C22semidirect
151. #2565C22semidirect
156. #2552C22semidirect
159. #2542C22semidirect
168. #2509C22semidirect
169. #2508C22semidirect
170. #2507C22semidirect
171. #2506C22semidirect
174. #2502C22semidirect
175. #2501C22semidirect
176. #2500C22semidirect
177. #2499C22semidirect
181. #2490C22semidirect
182. #2490C22semidirect
183. #2490C22semidirect
184. #2490C22semidirect
186. #2489C22semidirect
187. #2489C22semidirect
188. #2489C22semidirect
189. #2489C22semidirect
193. #2487C22semidirect
195. #2486C22semidirect
198. #2485C22semidirect
199. #2485C22semidirect
202. #2454C22semidirect
203. #2454C22semidirect
204. #2454C22semidirect
205. #2453C22semidirect
206. #2453C22semidirect
207. #2453C22semidirect
208. #2452C22semidirect
209. #2451C22semidirect
212. #2448C22semidirect
213. #2447C22semidirect
214. #2446C22semidirect
215. #2445C22semidirect
220. #2442C22semidirect
221. #2442C22semidirect
222. #2442C22semidirect
223. #2441C22semidirect
224. #2441C22semidirect
225. #2441C22semidirect
226. #2441C22semidirect
227. #2441C22semidirect
228. #2440C22semidirect
229. #2440C22semidirect
230. #2440C22semidirect
231. #2439C22semidirect
232. #2429C22semidirect
233. #2428C22semidirect
234. #2427C22semidirect
235. #2426C22semidirect
241. #2423C22semidirect
242. #2423C22semidirect
244. #2422C22semidirect
245. #2422C22semidirect
253. #2417C22semidirect
257. #2416C22semidirect
260. #2415C22semidirect
263. #2414C22semidirect

Maximal subgroups

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

subgroupindex
#531492
#531342
#531222
#531012
#530692
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