Finite Group Databasebeta

← #8095278

Subgroups — #8095278

Order 512.

4896 conjugacy classes of subgroups.

The subgroup lattice has 1799 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53138C212yesmaximal, complemented
2#53108C212yesmaximal, complemented
3#53101C212yesmaximal, complemented
4#53097C212yesmaximal, complemented
5#53052C212yesmaximal, complemented
6#53029C212yesmaximal, complemented
7#52972C212yesmaximal, complemented
8#52964C212yesmaximal, complemented
9#52427C214yesmaximal, complemented
10#52427C214yesmaximal, complemented
11#46090C214yesmaximal, complemented
12#46032C214yesmaximal, complemented
13#45720C212yesmaximal, complemented
14#45676C212yesmaximal, complemented
15#45653C212yesmaximal, complemented
16#45617C212yesmaximal, complemented
17#45610C212yesmaximal, complemented
18#45512C212yesmaximal, complemented
19#45500C212yesmaximal, complemented
20#45498C212yesmaximal, complemented
21#35564C211yesmaximal, characteristic, complemented
22#35564C211yesmaximal, characteristic, complemented
23#35532C211yesmaximal, characteristic, complemented
24#35519C211yesmaximal, characteristic, complemented
25#35517C211yesmaximal, characteristic, complemented
26#35517C211yesmaximal, characteristic, complemented
27#35273C211yesmaximal, characteristic, complemented
28#35257C211yesmaximal, characteristic, complemented
29#35255C211yesmaximal, characteristic, complemented
30#35255C211yesmaximal, characteristic, complemented
31#35180C211yesmaximal, characteristic, complemented
32#35158C211yesmaximal, characteristic, complemented
33#34937C211yesmaximal, characteristic, complemented
34C2×#2507C211yesmaximal, characteristic, complemented
35#34745C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#537C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×#520C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C2×C4×#41C2211yescharacteristic
48#2857C2212yes—
49#2857C2212yes—
50#2856C2212yes—
51#2855C2212yes—
52#2855C2212yes—
53#2854C2212yes—
54#2854C2212yes—
55#2851C2212yes—
56#2850C2214yes—
57#2850C2214yes—
58#2841C2214yes—
59#2841C2214yes—
60#2837C2214yes—
61#2837C2214yes—
62#2837C2214yes—
63#2837C2214yes—
64#2836C2214yes—
65#2836C2214yes—
66#2831C2214yes—
67#2830C2214yes—
68#2830C2214yes—
69#2829C2214yes—
70#2829C2214yes—
71#2829C2214yes—
72#2827C2214yes—
73#2827C2214yes—
74#2816C2214yes—
75#2816C2214yes—
76#2814C2214yes—
77#2814C2214yes—
78#2808C2214yes—
79#2806C2214yes—
80#2802C2214yes—
81#2802C2214yes—
82#2800C2214yes—
83#2788C2214yes—
84#2788C2214yes—
85#2786C2214yes—
86#2786C2214yes—
87#2783C2214yes—
88#2772C2214yes—
89#2772C2214yes—
90#2768C2214yes—
91#2768C2214yes—
92#2761C2214yes—
93#2755C2214yes—
94#2750C2214yes—
95#2744C2214yes—
96#2741C2214yes—
97#2740C2214yes—
98#2739C2214yes—
99#2739C2214yes—
100#2732C2214yes—
101#2730C2214yes—
102#2710C2214yes—
103#2710C2214yes—
104#2701C2214yes—
105#2701C2214yes—
106#2700C2214yes—
107#2692C2214yes—
108#2692C2214yes—
109#2686C2214yes—
110#2682C2214yes—
111#2681C2214yes—
112#2681C2214yes—
113#2676C2214yes—
114#2672C2214yes—
115#2672C2214yes—
116#2671C2214yes—
117#2671C2214yes—
118#2639C2214yes—
119#2639C2214yes—
120#2629C2212yes—
121#2628C2212yes—
122#2625C2212yes—
123#2625C2212yes—
124#2624C2212yes—
125#2624C2212yes—
126#2620C2212yes—
127#2620C2212yes—
128#2592C2212yes—
129#2592C2212yes—
130#2582C2212yes—
131#2581C2212yes—
132#2580C2212yes—
133#2568C2212yes—
134#2567C2212yes—
135#2566C2212yes—
136#2565C2212yes—
137#2563C2212yes—
138#2562C2212yes—
139#2562C2212yes—
140#2548C2212yes—
141#2548C2211yescharacteristic
142#2547C2211yescharacteristic
143#2547C2212yes—
144#2546C2211yescharacteristic
145#2545C2211yescharacteristic
146#2545C2211yescharacteristic
147#2544C2211yescharacteristic
148#2544C2211yescharacteristic
149#2543C2212yes—
150#2543C2214yes—
151#2543C2212yes—
152#2543C2214yes—
153#2542C2212yes—
154#2541C2211yescharacteristic
155#2538C2212yes—
156#2538C2212yes—
157#2538C2212yes—
158#2537C2212yes—
159#2537C2212yes—
160#2507C2212yes—
161#2507C2212yes—
162#2507C2212yes—
163#2507C2212yes—
164#2507C2212yes—
165#2507C2212yes—
166#2507C2212yes—
167#2507C2212yes—
168#2492C2212yes—
169#2492C2212yes—
170#2491C2212yes—
171#2491C2212yes—
172#2490C2212yes—
173#2490C2212yes—
174#2489C2212yes—
175#2489C2212yes—
176#2487C2212yes—
177#2487C2212yes—
178#2486C2212yes—
179#2486C2212yes—
180#2485C2212yes—
181#2485C2212yes—
182#2485C2212yes—
183#2485C2212yes—
184#2454C2212yes—
185#2454C2211yescharacteristic
186#2454C2211yescharacteristic
187#2453C2211yescharacteristic
188#2453C2211yescharacteristic
189#2453C2212yes—
190#2452C2212yes—
191#2452C2211yescharacteristic
192#2452C2211yescharacteristic
193#2451C2211yescharacteristic
194#2451C2212yes—
195#2451C2211yescharacteristic
196#2450C2212yes—
197#2450C2214yes—
198#2450C2212yes—
199#2450C2214yes—
200#2449C2214yes—
201#2449C2214yes—
202#2449C2212yes—
203#2449C2212yes—
204#2449C2214yes—
205#2449C2214yes—
206#2448C2212yes—
207#2448C2212yes—
208#2447C2212yes—
209#2447C2212yes—
210#2446C2212yes—
211#2446C2212yes—
212#2445C2212yes—
213#2445C2212yes—
214#2444C2214yes—
215#2444C2214yes—
216#2444C2214yes—
217#2444C2214yes—
218#2443C2214yes—
219#2443C2214yes—
220#2443C2214yes—
221#2443C2214yes—
222#2442C2212yes—
223#2441C2212yes—
224#2441C2212yes—
225#2441C2212yes—
226#2440C2212yes—
227#2440C2212yes—
228#2440C2212yes—
229#2439C2212yes—
230#2429C2212yes—
231#2429C2212yes—
232#2428C2212yes—
233#2428C2212yes—
234#2427C2212yes—
235#2427C2212yes—
236#2426C2212yes—
237#2426C2212yes—
238#2423C2212yes—
239#2423C2212yes—
240#2422C2212yes—
241#2422C2212yes—
242#2421C2212yes—
243#2421C2212yes—
244#2420C2212yes—
245#2420C2212yes—
246#2417C2212yes—
247#2417C2212yes—
248#2416C2214yes—
249#2416C2214yes—
250#2416C2212yes—
251#2416C2212yes—
252#2416C2212yes—
253#2416C2212yes—
254#2416C2214yes—
255#2416C2214yes—
256#2415C2212yes—
257#2415C2212yes—
258#2414C2212yes—
259#2414C2212yes—
260#2396C2212yes—
261#2396C2212yes—
262#2392C2212yes—
263#2392C2212yes—
264C2×#398C2212yes—
265C2×#398C2212yes—
266#2378C2214yes—
267#2377C2214yes—
268#2376C2214yes—
269#2376C2214yes—
270#2317C2211yescharacteristic
271#2317C2211yescharacteristic
272#2311C2211yescharacteristic
273#2311C2211yescharacteristic
274#2311C2211yescharacteristic
275#2311C2211yescharacteristic
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2212yes—
282C4×#121C2212yes—
283C4×#121C2212yes—
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic
288#2296C2211yescharacteristic
289#2296C2211yescharacteristic
290C2×#389C2212yes—
291C2×#389C2211yescharacteristic
292C2×#389C2211yescharacteristic
293C2×#389C2211yescharacteristic
294C2×#389C2211yescharacteristic
295C2×#387C2212yes—
296C2×#384C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303#544—44no—
304#537—44no—
305#537—44no—
306#537—44no—
307#533—44no—
308#532—44no—
309#532—44no—
310#532—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×#127C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#127C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#124C2311yescharacteristic
326C2×#124C2311yescharacteristic
327C2×#124C2311yescharacteristic
328C2×#124C2311yescharacteristic
329C2×#124C2311yescharacteristic
330C2×#124C2311yescharacteristic
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2314yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373#520—44no—
374#520—44no—
375C4×#41—44no—
376C4×#41—44no—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×#117C2311yescharacteristic
404C2×#117C2311yescharacteristic
405C2×#117C2311yescharacteristic
406C2×#117C2311yescharacteristic
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2312yes—
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2311yescharacteristic
413C22×C4⋊C4C2311yescharacteristic
414C22×C4⋊C4C2311yescharacteristic
415C22×C4⋊C4C2311yescharacteristic
416C22×C4⋊C4C2311yescharacteristic
417C22×C4⋊C4C2312yes—
418C22×C4⋊C4C2312yes—
419C22×C4⋊C4C2312yes—
420C22×C4⋊C4C2312yes—
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2312yes—
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2312yes—
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2311yescharacteristic
428C22×C42C2312yes—
429C22×C42C2312yes—
430C22×C42C2312yes—
431#400C2314yes—
432#400C2314yes—
433#400C2312yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2312yes—
441#400C2314yes—
442#400C2314yes—
443#399C2312yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2312yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2312yes—
466#398C2312yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2312yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2312yes—
476#398C2312yes—
477#398C2312yes—
478#398C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2312yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2312yes—
498#397C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2312yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2312yes—
506#396C2312yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2312yes—
513#396C2314yes—
514#396C2314yes—
515#396C2312yes—
516#396C2312yes—
517#396C2314yes—
518#396C2314yes—
519#396C2312yes—
520#396C2312yes—
521#395C2314yes—
522#395C2314yes—
523#395C2314yes—
524#395C2312yes—
525#395C2312yes—
526#395C2314yes—
527#394C2312yes—
528#394C2312yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2312yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2312yes—
549#394C2314yes—
550#394C2314yes—
551#394C2312yes—
552#394C2314yes—
553#394C2314yes—
554#394C2312yes—
555#393C2312yes—
556#393C2314yes—
557#393C2314yes—
558#393C2314yes—
559#393C2314yes—
560#393C2314yes—
561#393C2314yes—
562#393C2312yes—
563#392C2312yes—
564#392C2314yes—
565#392C2314yes—
566#392C2312yes—
567#391C2311yescharacteristic
568#391C2312yes—
569#391C2312yes—
570#391C2312yes—
571#391C2312yes—
572#391C2312yes—
573#391C2312yes—
574#391C2312yes—
575#391C2312yes—
576#391C2311yescharacteristic
577#391C2314yes—
578#391C2311yescharacteristic
579#391C2311yescharacteristic
580#391C2314yes—
581#391C2314yes—
582#391C2311yescharacteristic
583#391C2314yes—
584#391C2311yescharacteristic
585#391C2311yescharacteristic
586#391C2311yescharacteristic
587#391C2312yes—
588#391C2312yes—
589#390C2314yes—
590#390C2311yescharacteristic
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2314yes—
601#390C2314yes—
602#390C2314yes—
603#390C2311yescharacteristic
604#390C2314yes—
605#390C2311yescharacteristic
606#390C2311yescharacteristic
607#390C2311yescharacteristic
608#390C2314yes—
609#390C2311yescharacteristic
610#390C2311yescharacteristic
611#390C2312yes—
612#390C2311yescharacteristic
613#389C2314yes—
614#389C2314yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2314yes—
621#389C2314yes—
622#389C2312yes—
623#389C2314yes—
624#389C2314yes—
625#389C2314yes—
626#389C2311yescharacteristic
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2311yescharacteristic
631#389C2314yes—
632#389C2314yes—
633#389C2312yes—
634#389C2312yes—
635#389C2311yescharacteristic
636#389C2312yes—
637#389C2311yescharacteristic
638#389C2314yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2314yes—
649#389C2312yes—
650#389C2311yescharacteristic
651#389C2311yescharacteristic
652#389C2311yescharacteristic
653#389C2311yescharacteristic
654#389C2312yes—
655#389C2312yes—
656#389C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2312yes—
680#388C2312yes—
681#387C2314yes—
682#387C2314yes—
683#387C2312yes—
684#387C2314yes—
685#387C2314yes—
686#387C2312yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2312yes—
696#387C2314yes—
697#387C2312yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2312yes—
712#386C2314yes—
713#386C2312yes—
714#386C2312yes—
715#386C2314yes—
716#386C2314yes—
717#386C2312yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2312yes—
724#386C2312yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2312yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2312yes—
744#385C2312yes—
745#385C2312yes—
746#385C2312yes—
747#385C2312yes—
748#385C2312yes—
749#385C2312yes—
750#385C2312yes—
751#384C2312yes—
752#384C2312yes—
753#384C2312yes—
754#384C2312yes—
755#384C2312yes—
756#384C2312yes—
757#382C2314yes—
758#382C2312yes—
759#382C2312yes—
760#382C2314yes—
761#381C2314yes—
762#381C2314yes—
763#381C2314yes—
764#381C2314yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2314yes—
784#380C2314yes—
785#380C2314yes—
786#380C2312yes—
787#380C2314yes—
788#380C2314yes—
789#380C2314yes—
790#380C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2311yescharacteristic
821C2×#95C2312yes—
822C2×#41—24no—
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—
832C2×#41—24no—
833C2×#41—24no—
834C22×Q8C2411yescharacteristic
835C22×Q8C2411yescharacteristic
836C22×Q8C2411yescharacteristic
837C22×Q8C2411yescharacteristic
838C22×Q8C2412yes—
839C22×Q8C2412yes—
840C22×Q8C2414yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2411yescharacteristic
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2412yes—
870C23×C4C2411yescharacteristic
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2414yes—
876C23×C4C2414yes—
877C23×C4C2412yes—
878C23×C4C2411yescharacteristic
879C4⋊Q8—42no—
880C4⋊Q8—42no—
881C4⋊Q8—44no—
882C4⋊Q8—44no—
883C4⋊Q8—42no—
884C4⋊Q8—42no—
885C4⋊Q8—42no—
886#127—42no—
887#127—42no—
888#127—42no—
889#125—42no—
890#125—42no—
891#125—44no—
892#125—44no—
893#124—42no—
894#124—42no—
895#124—42no—
896#124—42no—
897#124—42no—
898#124—42no—
899#124—84no—
900#124—84no—
901#123—48no—
902#123—48no—
903#123—84no—
904#123—84no—
905C22⋊Q8—28no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908C22⋊Q8—48no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—44no—
912C22⋊Q8—44no—
913C22⋊Q8—44no—
914C22⋊Q8—44no—
915C22⋊Q8—44no—
916C22⋊Q8—84no—
917C22⋊Q8—84no—
918C22⋊Q8—84no—
919C22⋊Q8—84no—
920#121—28no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—44no—
928#121—44no—
929#121—44no—
930#121—44no—
931#121—44no—
932#121—44no—
933#121—44no—
934#121—48no—
935#121—48no—
936#121—48no—
937#121—84no—
938#121—84no—
939#121—84no—
940#121—84no—
941C4×Q8—44no—
942C4×Q8—44no—
943C4×Q8—42no—
944C4×Q8—42no—
945C4×Q8—42no—
946C4×Q8—42no—
947C4×Q8—44no—
948C4×Q8—44no—
949C4×D4—42no—
950C4×D4—42no—
951C4×D4—42no—
952C4×D4—42no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—48no—
966C4×D4—48no—
967#117—24no—
968#117—24no—
969#117—24no—
970#117—24no—
971#117—44no—
972#117—44no—
973#117—44no—
974#117—44no—
975C2×C4⋊C4—24no—
976C2×C4⋊C4—24no—
977C2×C4⋊C4—24no—
978C2×C4⋊C4—24no—
979C2×C4⋊C4—24no—
980C2×C4⋊C4—42no—
981C2×C4⋊C4—44no—
982C2×C4⋊C4—44no—
983C2×C4⋊C4—44no—
984C2×C4⋊C4—82no—
985C2×C4⋊C4—82no—
986C2×C4⋊C4—82no—
987C2×C4⋊C4—82no—
988C2×C4⋊C4—82no—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C42—24no—
1122C2×C42—24no—
1123C2×C42—24no—
1124C2×C42—44no—
1125C2×C42—44no—
1126C2×C42—82no—
1127C2×C42C2411yescharacteristic
1128C2×C42C2412yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2414yes—
1144C2×C42C2414yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2414yes—
1150C2×C42C2414yes—
1151#95C2411yescharacteristic
1152#95C2411yescharacteristic
1153#95C2411yescharacteristic
1154#95C2411yescharacteristic
1155#95C2411yescharacteristic
1156#95C2411yescharacteristic
1157#95C2411yescharacteristic
1158#95C2414yes—
1159#95C2411yescharacteristic
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
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#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
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—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213C24C2512yes—
1214C24C2512yes—
1215C24C2512yes—
1216C24C2512yes—
1217C24C2511yescharacteristic
1218#41—416no—
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—22no—
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—24no—
1235C2×Q8—42no—
1236C2×Q8—42no—
1237C2×Q8—42no—
1238C2×Q8—42no—
1239C2×Q8—42no—
1240C2×Q8—44no—
1241C2×Q8—44no—
1242C2×Q8—44no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
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—42no—
1284C2×D4—42no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—24no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—22no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—41no—
1324C22×C4—42no—
1325C22×C4—41no—
1326C22×C4—42no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—41no—
1335C22×C4—42no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4H(5,𝔽2)14yes—
1355C22×C4H(5,𝔽2)14yes—
1356C22×C42−1+414yes—
1357C22×C4C2514yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2514yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2512yes—
1376C22×C4C2512yes—
1377C22×C4C2514yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2514yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—28no—
1411C4⋊C4—24no—
1412C4⋊C4—41no—
1413C4⋊C4—44no—
1414C4⋊C4—41no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—42no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—44no—
1453C4⋊C4—42no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—42no—
1458C4⋊C42−1+414yes—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
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—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C42—22no—
1520C42—22no—
1521C42—22no—
1522C42—22no—
1523C42—22no—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—22no—
1531C42—24no—
1532C42—24no—
1533C42—24no—
1534C42—24no—
1535C42—42no—
1536C42—42no—
1537C42—42no—
1538C42—42no—
1539C42—44no—
1540C42—44no—
1541C42—44no—
1542C42—44no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23C2×H(5,𝔽2)12yes—
1576C23C2×H(5,𝔽2)12yes—
1577C23C2×2−1+412yes—
1578C23C2611yescharacteristic
1579Q8—44no—
1580Q8—44no—
1581Q8—44no—
1582Q8—44no—
1583Q8—84no—
1584Q8—84no—
1585Q8—164no—
1586D4—48no—
1587D4—48no—
1588D4—48no—
1589D4—48no—
1590D4—44no—
1591D4—44no—
1592D4—44no—
1593D4—44no—
1594D4—84no—
1595D4—84no—
1596D4—84no—
1597D4—84no—
1598D4—84no—
1599D4—84no—
1600D4—164no—
1601D4—164no—
1602D4—164no—
1603C2×C4—21no—
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—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—24no—
1632C2×C4—24no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—24no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—24no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—24no—
1653C2×C4—22no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—24no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—24no—
1662C2×C4—24no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—24no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—24no—
1679C2×C4—24no—
1680C2×C4—24no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—44no—
1684C2×C4—44no—
1685C2×C4—44no—
1686C2×C4—44no—
1687C2×C4—48no—
1688C2×C4—48no—
1689C2×C4—48no—
1690C2×C4—48no—
1691C2×C4—48no—
1692C2×C4—84no—
1693C2×C4—84no—
1694C2×C4—84no—
1695C2×C4—82no—
1696C2×C4—84no—
1697C2×C4—84no—
1698C2×C4—84no—
1699C2×C4—82no—
1700C2×C4—84no—
1701C2×C4—164no—
1702C2×C4—164no—
1703C2×C4#562116yes—
1704C2×C4C2×H(5,𝔽2)12yes—
1705C2×C4C2×H(5,𝔽2)12yes—
1706C2×C4C2×H(5,𝔽2)12yes—
1707C2×C4C2×H(5,𝔽2)12yes—
1708C2×C4C2×2−1+412yes—
1709C2×C4C2×2−1+412yes—
1710C2×C4C2×2−1+412yes—
1711C2×C4C2×2−1+412yes—
1712C2×C4C2×2−1+412yes—
1713C2×C4#58512yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—42no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—42no—
1726C22—42no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22C2×#56214yes—
1749C22C22×H(5,𝔽2)11yescharacteristic
1750C22C22×H(5,𝔽2)11yescharacteristic
1751C22C22×2−1+411yescharacteristic
1752C22C22×2−1+411yescharacteristic
1753C22C2×#58511yescharacteristic
1754C22H(7,𝔽2)11yescharacteristic
1755C22H(7,𝔽2)11yescharacteristic
1756C4—22no—
1757C4—22no—
1758C4—22no—
1759C4—22no—
1760C4—42no—
1761C4—41no—
1762C4—42no—
1763C4—41no—
1764C4—44no—
1765C4—41no—
1766C4—44no—
1767C4—42no—
1768C4—42no—
1769C4—44no—
1770C4—41no—
1771C4—41no—
1772C4—42no—
1773C4—42no—
1774C4—42no—
1775C4—42no—
1776C4—42no—
1777C4—42no—
1778C4—41no—
1779C4—44no—
1780C4—41no—
1781C4—42no—
1782C4—41no—
1783C4—42no—
1784C4C2×#56214yes—
1785C4C2×#56214yes—
1786C2—24no—
1787C2—82no—
1788C2—82no—
1789C2—82no—
1790C2—82no—
1791C2C22×#56211yescharacteristic
1792C2#6283511yescharacteristic
1793C2#6288011yescharacteristic
1794C2#6292611yescharacteristic
1795C2#6294311yescharacteristic
1796C2#6294411yescharacteristic
1797C2#6295711yescharacteristic
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. #53138C2semidirect
2. #53108C2semidirect
3. #53101C2semidirect
4. #53097C2semidirect
5. #53052C2semidirect
6. #53029C2semidirect
7. #52972C2semidirect
8. #52964C2semidirect
9. #52427C2semidirect
10. #52427C2semidirect
11. #46090C2semidirect
12. #46032C2semidirect
13. #45720C2semidirect
14. #45676C2semidirect
15. #45653C2semidirect
16. #45617C2semidirect
17. #45610C2semidirect
18. #45512C2semidirect
19. #45500C2semidirect
20. #45498C2semidirect
21. #35564C2semidirect
22. #35564C2semidirect
23. #35532C2semidirect
24. #35519C2semidirect
25. #35517C2semidirect
26. #35517C2semidirect
27. #35273C2semidirect
28. #35257C2semidirect
29. #35255C2semidirect
30. #35255C2semidirect
31. #35180C2semidirect
32. #35158C2semidirect
33. #34937C2semidirect
34. C2×#2507C2semidirect
35. #34745C2semidirect

Maximal subgroups

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

subgroupindex
#531382
#531082
#531012
#530972
#530522
#530292
#529722
#529642
#524272
#460902
#460322
#457202
#456762
#456532
#456172
#456102
#455122
#455002
#454982
#355642
#355322
#355192
#355172
#352732
#352572
#352552
#351802
#351582
#349372
C2×#25072
#347452