Finite Group Databasebeta

← #8094452

Subgroups — #8094452

Order 512.

4882 conjugacy classes of subgroups.

The subgroup lattice has 1763 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53141C212yesmaximal, complemented
2#53138C212yesmaximal, complemented
3#53110C212yesmaximal, complemented
4#53108C212yesmaximal, complemented
5#53027C212yesmaximal, complemented
6#53021C212yesmaximal, complemented
7#52979C212yesmaximal, complemented
8#52964C212yesmaximal, complemented
9#52342C214yesmaximal, complemented
10#52341C214yesmaximal, complemented
11#45745C214yesmaximal, complemented
12#45718C212yesmaximal, complemented
13#45703C212yesmaximal, complemented
14#45689C212yesmaximal, complemented
15#45675C212yesmaximal, complemented
16#45639C212yesmaximal, complemented
17#45619C212yesmaximal, complemented
18#45594C212yesmaximal, complemented
19#45512C212yesmaximal, complemented
20#45475C214yesmaximal, complemented
21#35677C211yesmaximal, characteristic, complemented
22#35673C211yesmaximal, characteristic, complemented
23#35662C211yesmaximal, characteristic, complemented
24#35628C211yesmaximal, characteristic, complemented
25#35585C211yesmaximal, characteristic, complemented
26#35556C211yesmaximal, characteristic, complemented
27#35327C211yesmaximal, characteristic, complemented
28#35308C211yesmaximal, characteristic, complemented
29#35255C211yesmaximal, characteristic, complemented
30#35254C211yesmaximal, characteristic, complemented
31#35172C211yesmaximal, characteristic, complemented
32#35168C211yesmaximal, characteristic
33#34947C211yesmaximal, characteristic, complemented
34#34745C211yesmaximal, characteristic, complemented
35C2×#2447C211yesmaximal, characteristic, complemented
36C2×#537C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#535C2211yescharacteristic
41C2×#533C2211yescharacteristic
42C2×#533C2211yescharacteristic
43C22×#124C2211yescharacteristic
44C2×#519C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C22×C4×D4C2211yescharacteristic
48#2857C2212yescomplemented
49#2855C2212yescomplemented
50#2854C2212yes—
51#2854C2212yes—
52#2854C2212yescomplemented
53#2850C2212yes—
54#2850C2212yes—
55#2850C2212yescomplemented
56#2848C2214yes—
57#2847C2214yes—
58#2841C2214yescomplemented
59#2837C2214yescomplemented
60#2837C2214yescomplemented
61#2837C2214yescomplemented
62#2836C2214yescomplemented
63#2836C2214yescomplemented
64#2832C2214yescomplemented
65#2831C2214yescomplemented
66#2831C2214yescomplemented
67#2830C2214yescomplemented
68#2829C2214yescomplemented
69#2829C2214yescomplemented
70#2827C2214yescomplemented
71#2827C2214yescomplemented
72#2827C2214yescomplemented
73#2826C2214yescomplemented
74#2824C2214yescomplemented
75#2820C2214yescomplemented
76#2816C2214yescomplemented
77#2814C2214yescomplemented
78#2808C2214yescomplemented
79#2800C2214yescomplemented
80#2798C2214yescomplemented
81#2788C2214yescomplemented
82#2786C2214yescomplemented
83#2783C2214yescomplemented
84#2781C2214yescomplemented
85#2779C2214yescomplemented
86#2779C2214yescomplemented
87#2772C2214yescomplemented
88#2768C2214yescomplemented
89#2761C2214yescomplemented
90#2761C2214yescomplemented
91#2754C2214yescomplemented
92#2751C2214yescomplemented
93#2750C2214yescomplemented
94#2747C2214yescomplemented
95#2744C2214yescomplemented
96#2743C2214yescomplemented
97#2743C2214yescomplemented
98#2741C2214yescomplemented
99#2740C2214yescomplemented
100#2739C2214yescomplemented
101#2732C2214yescomplemented
102#2730C2214yescomplemented
103#2711C2214yescomplemented
104#2710C2214yescomplemented
105#2708C2214yescomplemented
106#2706C2214yescomplemented
107#2704C2214yescomplemented
108#2701C2214yescomplemented
109#2700C2214yescomplemented
110#2700C2214yescomplemented
111#2696C2214yescomplemented
112#2694C2214yescomplemented
113#2692C2214yescomplemented
114#2687C2214yescomplemented
115#2686C2214yescomplemented
116#2681C2214yescomplemented
117#2672C2214yescomplemented
118#2626C2214yes—
119#2625C2212yescomplemented
120#2624C2212yes—
121#2624C2212yes—
122#2624C2212yescomplemented
123#2621C2212yescomplemented
124#2620C2212yes—
125#2620C2212yes—
126#2620C2212yescomplemented
127#2617C2214yes—
128#2592C2212yes—
129#2592C2212yes—
130#2592C2212yescomplemented
131#2592C2212yescomplemented
132#2582C2212yescomplemented
133#2582C2212yescomplemented
134#2581C2212yescomplemented
135#2581C2212yescomplemented
136#2580C2212yes—
137#2580C2212yes—
138#2569C2214yes—
139#2568C2212yescomplemented
140#2568C2212yescomplemented
141#2568C2211yescharacteristic, complemented
142#2567C2211yescharacteristic, complemented
143#2566C2212yes—
144#2566C2212yes—
145#2566C2211yescharacteristic, complemented
146#2566C2211yescharacteristic, complemented
147#2565C2211yescharacteristic, complemented
148#2565C2211yescharacteristic, complemented
149#2564C2212yes—
150#2564C2212yes—
151#2563C2212yes—
152#2563C2211yescharacteristic, complemented
153#2548C2212yes—
154#2548C2212yes—
155#2548C2212yes—
156#2548C2212yes—
157#2545C2212yes—
158#2545C2212yes—
159#2545C2212yes—
160#2545C2212yes—
161#2544C2212yes—
162#2544C2212yes—
163#2542C2212yes—
164#2542C2211yescharacteristic, complemented
165#2538C2212yes—
166#2538C2212yes—
167#2534C2214yes—
168#2534C2214yes—
169#2509C2212yescomplemented
170#2509C2212yescomplemented
171#2508C2212yescomplemented
172#2508C2212yescomplemented
173#2507C2212yescomplemented
174#2507C2212yescomplemented
175#2506C2212yescomplemented
176#2506C2212yescomplemented
177#2498C2214yes—
178#2498C2214yes—
179#2492C2212yescomplemented
180#2492C2212yescomplemented
181#2491C2212yes—
182#2491C2212yes—
183#2490C2212yes—
184#2490C2212yes—
185#2489C2212yescomplemented
186#2489C2212yescomplemented
187#2488C2214yes—
188#2488C2214yes—
189#2472C2214yes—
190#2472C2214yes—
191#2454C2211yescharacteristic, complemented
192#2454C2211yescharacteristic, complemented
193#2453C2212yescomplemented
194#2453C2212yescomplemented
195#2453C2211yescharacteristic, complemented
196#2453C2211yescharacteristic, complemented
197#2452C2211yescharacteristic, complemented
198#2452C2211yescharacteristic, complemented
199#2451C2212yescomplemented
200#2451C2211yescharacteristic, complemented
201#2451C2212yescomplemented
202#2451C2211yescharacteristic, complemented
203#2450C2212yes—
204#2450C2212yes—
205#2449C2212yes—
206#2449C2212yes—
207#2448C2212yes—
208#2448C2212yes—
209#2448C2212yescomplemented
210#2448C2212yescomplemented
211#2447C2212yes—
212#2447C2212yes—
213#2447C2212yes—
214#2447C2212yes—
215#2447C2212yes—
216#2447C2212yes—
217#2447C2212yes—
218#2447C2212yes—
219#2446C2212yescomplemented
220#2446C2212yescomplemented
221#2445C2212yes—
222#2445C2212yes—
223#2444C2214yes—
224#2443C2214yes—
225#2442C2214yes—
226#2438C2214yes—
227#2438C2214yes—
228#2429C2212yescomplemented
229#2429C2212yescomplemented
230#2428C2212yes—
231#2428C2212yes—
232#2428C2212yes—
233#2428C2212yes—
234#2427C2212yes—
235#2427C2212yes—
236#2427C2212yes—
237#2427C2212yes—
238#2427C2212yescomplemented
239#2427C2212yescomplemented
240#2426C2212yes—
241#2426C2212yes—
242#2426C2212yes—
243#2426C2212yes—
244#2425C2214yes—
245#2425C2214yes—
246#2423C2212yescomplemented
247#2423C2212yescomplemented
248#2423C2212yescomplemented
249#2422C2212yescomplemented
250#2421C2212yescomplemented
251#2421C2212yescomplemented
252#2421C2212yescomplemented
253#2420C2212yescomplemented
254#2418C2214yes—
255#2418C2214yes—
256#2417C2212yes—
257#2417C2212yes—
258#2411C2214yes—
259#2411C2214yes—
260#2396C2212yescomplemented
261#2396C2212yescomplemented
262#2396C2212yescomplemented
263#2396C2212yescomplemented
264C2×#397C2212yes—
265C2×#397C2212yes—
266#2379C2214yescomplemented
267#2378C2214yescomplemented
268#2377C2214yescomplemented
269#2376C2214yescomplemented
270#2317C2211yescharacteristic
271#2317C2211yescharacteristic
272#2316C2211yescharacteristic
273#2316C2211yescharacteristic
274#2311C2211yescharacteristic
275#2311C2211yescharacteristic
276#2310C2211yescharacteristic
277#2309C2211yescharacteristic
278#2309C2211yescharacteristic
279C4×C22⋊Q8C2212yescomplemented
280C4×C22⋊Q8C2212yescomplemented
281C4×C22⋊Q8C2212yescomplemented
282C4×C22⋊Q8C2212yescomplemented
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic
287#2296C2211yescharacteristic
288#2296C2211yescharacteristic
289C2×#391C2211yescharacteristic
290C2×#391C2211yescharacteristic
291C2×#390C2211yescharacteristic
292C2×#389C2211yescharacteristic
293C2×#385C2212yes—
294#2285C2211yescharacteristic
295#2285C2211yescharacteristic
296C2×#381C2212yes—
297#2274C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×Q8C2311yescharacteristic
302C23×D4C2311yescharacteristic
303C24×C4C2312yes—
304#537—44no—
305#536—44no—
306#536—44no—
307#535—44no—
308#535—44no—
309#533—44no—
310#533—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2311yescharacteristic
323C2×#125C2314yes—
324C2×#124—44no—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2314yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367#519—44no—
368C4×#41—44no—
369C4×#41—44no—
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×D4—44no—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×#117C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2311yescharacteristic
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2314yes—
404C22×C4⋊C4C2311yescharacteristic
405C22×C4⋊C4C2311yescharacteristic
406C22×C4⋊C4C2311yescharacteristic
407C22×C4⋊C4C2311yescharacteristic
408C22×C4⋊C4C2312yes—
409C22×C22⋊C4C2312yes—
410C22×C22⋊C4C2312yes—
411C22×C22⋊C4C2312yes—
412C22×C22⋊C4C2312yes—
413C22×C22⋊C4C2312yes—
414C22×C42C2311yescharacteristic
415C22×C42C2311yescharacteristic
416C22×C42C2311yescharacteristic
417C22×C42C2312yes—
418C22×C42C2312yes—
419#400C2312yes—
420#400C2312yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2312yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2312yes—
436#399C2312yes—
437#399C2314yes—
438#399C2312yes—
439#399C2314yes—
440#399C2314yes—
441#399C2312yes—
442#399C2314yes—
443#399C2314yes—
444#399C2314yes—
445#399C2314yes—
446#399C2312yes—
447#398C2314yes—
448#398C2314yes—
449#398C2312yes—
450#398C2312yes—
451#398C2312yes—
452#398C2312yes—
453#398C2314yes—
454#398C2312yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2312yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2312yes—
466#398C2314yes—
467#398C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#396C2312yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2312yes—
499#396C2312yes—
500#396C2312yes—
501#396C2312yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2312yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2312yes—
512#396C2312yes—
513#395C2312yes—
514#395C2312yes—
515#395C2314yes—
516#395C2312yes—
517#395C2314yes—
518#395C2312yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
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#393C2312yes—
544#393C2314yes—
545#393C2314yes—
546#393C2314yes—
547#393C2312yes—
548#393C2312yes—
549#393C2312yes—
550#393C2314yes—
551#393C2314yes—
552#393C2314yes—
553#392C2314yes—
554#392C2314yes—
555#391C2311yescharacteristic
556#391C2311yescharacteristic
557#391C2311yescharacteristic
558#391C2311yescharacteristic
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2314yes—
566#391C2312yes—
567#391C2312yes—
568#391C2314yes—
569#391C2312yes—
570#391C2312yes—
571#391C2314yes—
572#391C2312yes—
573#391C2312yes—
574#391C2312yes—
575#391C2314yes—
576#391C2311yescharacteristic
577#391C2311yescharacteristic
578#391C2312yes—
579#391C2311yescharacteristic
580#391C2311yescharacteristic
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2311yescharacteristic
588#390C2311yescharacteristic
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2311yescharacteristic
596#390C2311yescharacteristic
597#390C2312yes—
598#390C2312yes—
599#390C2314yes—
600#390C2314yes—
601#390C2314yes—
602#390C2312yes—
603#390C2312yes—
604#390C2311yescharacteristic
605#390C2311yescharacteristic
606#390C2314yes—
607#390C2314yes—
608#390C2314yes—
609#390C2311yescharacteristic
610#390C2311yescharacteristic
611#390C2312yes—
612#390C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2314yes—
629#389C2311yescharacteristic
630#389C2311yescharacteristic
631#389C2314yes—
632#389C2314yes—
633#389C2311yescharacteristic
634#389C2311yescharacteristic
635#389C2314yes—
636#389C2312yes—
637#389C2314yes—
638#389C2312yes—
639#389C2312yes—
640#389C2314yes—
641#389C2312yes—
642#389C2312yes—
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#389C2311yescharacteristic
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2312yes—
694#387C2312yes—
695#387C2312yes—
696#387C2312yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#386C2312yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2312yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#385C2312yes—
721#385C2312yes—
722#385C2312yes—
723#385C2312yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2312yes—
729#385C2314yes—
730#385C2312yes—
731#385C2314yes—
732#385C2312yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2312yes—
737#385C2312yes—
738#385C2312yes—
739#385C2314yes—
740#385C2312yes—
741#385C2312yes—
742#385C2314yes—
743#384C2311yescharacteristic
744#384C2311yescharacteristic
745#384C2312yes—
746#384C2312yes—
747#384C2311yescharacteristic
748#384C2311yescharacteristic
749#382C2312yes—
750#382C2312yes—
751#382C2311yescharacteristic
752#382C2311yescharacteristic
753#382C2314yes—
754#382C2311yescharacteristic
755#382C2311yescharacteristic
756#382C2314yes—
757#382C2314yes—
758#381C2314yes—
759#381C2314yes—
760#381C2314yes—
761#381C2314yes—
762#381C2314yes—
763#381C2314yes—
764#380C2314yes—
765#380C2314yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2314yes—
777#380C2314yes—
778#380C2314yes—
779#380C2314yes—
780#380C2314yes—
781#380C2314yes—
782#380C2312yes—
783#380C2312yes—
784#379C2314yes—
785#379C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
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×#95C2311yescharacteristic
816C2×#95C2311yescharacteristic
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
822C25C2412yes—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C22×Q8—24no—
830C22×Q8—24no—
831C22×Q8—24no—
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×Q8C2411yescharacteristic
835C22×Q8C2411yescharacteristic
836C22×Q8C2412yes—
837C22×Q8C2412yes—
838C22×Q8C2412yes—
839C22×Q8C2412yes—
840C22×D4—24no—
841C22×D4—24no—
842C22×D4—24no—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C22×D4C2411yescharacteristic
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C23×C4—44no—
855C23×C4—44no—
856C23×C4—82no—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2412yes—
868C23×C4C2414yes—
869C23×C4C2412yes—
870C23×C4C2414yes—
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C4⋊Q8—42no—
876C4⋊Q8—42no—
877C4⋊Q8—42no—
878C4⋊Q8—42no—
879C4⋊Q8—44no—
880C4⋊Q8—44no—
881#127—44no—
882#127—44no—
883#125—42no—
884#125—42no—
885#125—42no—
886#125—42no—
887#125—84no—
888#124—44no—
889#124—44no—
890#124—44no—
891#124—44no—
892#124—44no—
893#124—44no—
894#124—44no—
895#124—44no—
896#124—48no—
897#124—84no—
898#123—48no—
899#123—48no—
900#123—48no—
901#123—84no—
902#123—84no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—48no—
912C22⋊Q8—44no—
913C22⋊Q8—44no—
914C22⋊Q8—44no—
915C22⋊Q8—44no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918C22⋊Q8—84no—
919#121—48no—
920#121—44no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—48no—
927#121—84no—
928#120—48no—
929#120—48no—
930C4×Q8—44no—
931C4×Q8—44no—
932C4×Q8—44no—
933C4×Q8—44no—
934C4×Q8—42no—
935C4×Q8—42no—
936C4×Q8—42no—
937C4×Q8—42no—
938C4×Q8—44no—
939C4×Q8—44no—
940C4×Q8—44no—
941C4×Q8—44no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—42no—
947C4×D4—42no—
948C4×D4—42no—
949C4×D4—42no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954#117—24no—
955#117—24no—
956#117—24no—
957#117—24no—
958#117—24no—
959#117—24no—
960#117—44no—
961#117—44no—
962#117—48no—
963C2×C4⋊C4—24no—
964C2×C4⋊C4—24no—
965C2×C4⋊C4—42no—
966C2×C4⋊C4—42no—
967C2×C4⋊C4—82no—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C22⋊C4—44no—
1042C2×C22⋊C4—44no—
1043C2×C22⋊C4—44no—
1044C2×C22⋊C4—44no—
1045C2×C22⋊C4—82no—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C42—24no—
1105C2×C42—24no—
1106C2×C42—24no—
1107C2×C42—44no—
1108C2×C42—44no—
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2414yes—
1128C2×C42C2414yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2414yes—
1134C2×C42C2414yes—
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
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#95C2412yes—
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#95C2414yes—
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—
1203C24—24no—
1204C24—24no—
1205C24—24no—
1206C24—42no—
1207C24—42no—
1208C24—42no—
1209C24—42no—
1210C24C2514yes—
1211C24C2512yes—
1212C24C2512yes—
1213C24C2511yescharacteristic
1214#41—416no—
1215#41—416no—
1216C2×Q8—24no—
1217C2×Q8—22no—
1218C2×Q8—22no—
1219C2×Q8—24no—
1220C2×Q8—24no—
1221C2×Q8—22no—
1222C2×Q8—24no—
1223C2×Q8—22no—
1224C2×Q8—24no—
1225C2×Q8—24no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—24no—
1229C2×Q8—24no—
1230C2×Q8—42no—
1231C2×Q8—42no—
1232C2×Q8—42no—
1233C2×Q8—42no—
1234C2×Q8—42no—
1235C2×Q8—42no—
1236C2×Q8—42no—
1237C2×Q8—42no—
1238C2×Q8—42no—
1239C2×Q8—42no—
1240C2×Q8—416no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—22no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—22no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—416no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—28no—
1295C22×C4—24no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—41no—
1304C22×C4—42no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—42no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—44no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—44no—
1321C22×C4—42no—
1322C22×C4—41no—
1323C22×C4—42no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—816no—
1327C22×C4H(5,𝔽2)14yes—
1328C22×C4H(5,𝔽2)14yes—
1329C22×C42−1+414yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2514yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2514yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2514yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—41no—
1384C4⋊C4—41no—
1385C4⋊C4—41no—
1386C4⋊C4—41no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—42no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—42no—
1431C4⋊C4—44no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—28no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—44no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—42no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—42no—
1492C42—22no—
1493C42—22no—
1494C42—22no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—22no—
1502C42—22no—
1503C42—22no—
1504C42—24no—
1505C42—24no—
1506C42—24no—
1507C42—24no—
1508C42—24no—
1509C42—24no—
1510C42—42no—
1511C42—42no—
1512C42—42no—
1513C42—42no—
1514C42—44no—
1515C42—44no—
1516C42—44no—
1517C42—44no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—22no—
1523C23—24no—
1524C23—22no—
1525C23—22no—
1526C23—24no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—24no—
1531C23—22no—
1532C23—24no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—24no—
1537C23—24no—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—24no—
1543C23—48no—
1544C23—48no—
1545C23—48no—
1546C23—84no—
1547C23—84no—
1548C23—84no—
1549C23—84no—
1550C23C2×H(5,𝔽2)12yes—
1551C23C2×H(5,𝔽2)12yes—
1552C23C2×2−1+412yes—
1553C23C2611yescharacteristic
1554Q8—48no—
1555Q8—48no—
1556Q8—44no—
1557Q8—44no—
1558Q8—84no—
1559Q8—84no—
1560Q8—84no—
1561Q8—84no—
1562D4—48no—
1563D4—48no—
1564D4—48no—
1565D4—48no—
1566D4—44no—
1567D4—44no—
1568D4—164no—
1569D4—164no—
1570D4—164no—
1571D4—164no—
1572D4—164no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—24no—
1603C2×C4—24no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—24no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—24no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—24no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—24no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—44no—
1659C2×C4—44no—
1660C2×C4—48no—
1661C2×C4—48no—
1662C2×C4—48no—
1663C2×C4—84no—
1664C2×C4—88no—
1665C2×C4—82no—
1666C2×C4—82no—
1667C2×C4—82no—
1668C2×C4—82no—
1669C2×C4—84no—
1670C2×C4—84no—
1671C2×C4—84no—
1672C2×C4—84no—
1673C2×C4—84no—
1674C2×C4—88no—
1675C2×C4#562116yes—
1676C2×C4C2×H(5,𝔽2)12yes—
1677C2×C4C2×H(5,𝔽2)12yes—
1678C2×C4C2×H(5,𝔽2)12yes—
1679C2×C4C2×H(5,𝔽2)12yes—
1680C2×C4C2×2−1+412yes—
1681C2×C4C2×2−1+412yes—
1682C2×C4#58512yes—
1683C2×C4#58512yes—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—42no—
1691C22—42no—
1692C22—44no—
1693C22—42no—
1694C22—42no—
1695C22—44no—
1696C22—44no—
1697C22—42no—
1698C22—42no—
1699C22—42no—
1700C22—42no—
1701C22—44no—
1702C22—42no—
1703C22—42no—
1704C22—44no—
1705C22—42no—
1706C22—42no—
1707C22—44no—
1708C22—42no—
1709C22—42no—
1710C22—44no—
1711C22—816no—
1712C22C2×#56214yes—
1713C22C22×H(5,𝔽2)11yescharacteristic
1714C22C22×H(5,𝔽2)11yescharacteristic
1715C22C22×2−1+411yescharacteristic
1716C22C2×#58511yescharacteristic
1717C22C2×#58511yescharacteristic
1718C22H(7,𝔽2)11yescharacteristic
1719C222−1+611yescharacteristic
1720C4—22no—
1721C4—22no—
1722C4—41no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—41no—
1729C4—41no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—44no—
1737C4—42no—
1738C4—42no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—42no—
1743C4—41no—
1744C4—42no—
1745C4—42no—
1746C4—42no—
1747C4—44no—
1748C4—44no—
1749C4C2×#56214yes—
1750C4C2×#56214yes—
1751C2—24no—
1752C2—82no—
1753C2—82no—
1754C2—84no—
1755C2C22×#56211yescharacteristic
1756C2#6283011yescharacteristic
1757C2#6287811yescharacteristic
1758C2#6292411yescharacteristic
1759C2#6292511yescharacteristic
1760C2#6293211yescharacteristic
1761C2#6296211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35168C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53141C2semidirect
2. #53138C2semidirect
3. #53110C2semidirect
4. #53108C2semidirect
5. #53027C2semidirect
6. #53021C2semidirect
7. #52979C2semidirect
8. #52964C2semidirect
9. #52342C2semidirect
10. #52341C2semidirect
11. #45745C2semidirect
12. #45718C2semidirect
13. #45703C2semidirect
14. #45689C2semidirect
15. #45675C2semidirect
16. #45639C2semidirect
17. #45619C2semidirect
18. #45594C2semidirect
19. #45512C2semidirect
20. #45475C2semidirect
21. #35677C2semidirect
22. #35673C2semidirect
23. #35662C2semidirect
24. #35628C2semidirect
25. #35585C2semidirect
26. #35556C2semidirect
27. #35327C2semidirect
28. #35308C2semidirect
29. #35255C2semidirect
30. #35254C2semidirect
31. #35172C2semidirect
33. #34947C2semidirect
34. #34745C2semidirect
35. C2×#2447C2semidirect
48. #2857C22semidirect
49. #2855C22semidirect
52. #2854C22semidirect
55. #2850C22semidirect
58. #2841C22semidirect
59. #2837C22semidirect
60. #2837C22semidirect
61. #2837C22semidirect
62. #2836C22semidirect
63. #2836C22semidirect
64. #2832C22semidirect
65. #2831C22semidirect
66. #2831C22semidirect
67. #2830C22semidirect
68. #2829C22semidirect
69. #2829C22semidirect
70. #2827C22semidirect
71. #2827C22semidirect
72. #2827C22semidirect
73. #2826C22semidirect
74. #2824C22semidirect
75. #2820C22semidirect
76. #2816C22semidirect
77. #2814C22semidirect
78. #2808C22semidirect
79. #2800C22semidirect
80. #2798C22semidirect
81. #2788C22semidirect
82. #2786C22semidirect
83. #2783C22semidirect
84. #2781C22semidirect
85. #2779C22semidirect
86. #2779C22semidirect
87. #2772C22semidirect
88. #2768C22semidirect
89. #2761C22semidirect
90. #2761C22semidirect
91. #2754C22semidirect
92. #2751C22semidirect
93. #2750C22semidirect
94. #2747C22semidirect
95. #2744C22semidirect
96. #2743C22semidirect
97. #2743C22semidirect
98. #2741C22semidirect
99. #2740C22semidirect
100. #2739C22semidirect
101. #2732C22semidirect
102. #2730C22semidirect
103. #2711C22semidirect
104. #2710C22semidirect
105. #2708C22semidirect
106. #2706C22semidirect
107. #2704C22semidirect
108. #2701C22semidirect
109. #2700C22semidirect
110. #2700C22semidirect
111. #2696C22semidirect
112. #2694C22semidirect
113. #2692C22semidirect
114. #2687C22semidirect
115. #2686C22semidirect
116. #2681C22semidirect
117. #2672C22semidirect
119. #2625C22semidirect
122. #2624C22semidirect
123. #2621C22semidirect
126. #2620C22semidirect
130. #2592C22semidirect
131. #2592C22semidirect
132. #2582C22semidirect
133. #2582C22semidirect
134. #2581C22semidirect
135. #2581C22semidirect
139. #2568C22semidirect
140. #2568C22semidirect
141. #2568C22semidirect
142. #2567C22semidirect
145. #2566C22semidirect
146. #2566C22semidirect
147. #2565C22semidirect
148. #2565C22semidirect
152. #2563C22semidirect
164. #2542C22semidirect
169. #2509C22semidirect
170. #2509C22semidirect
171. #2508C22semidirect
172. #2508C22semidirect
173. #2507C22semidirect
174. #2507C22semidirect
175. #2506C22semidirect
176. #2506C22semidirect
179. #2492C22semidirect
180. #2492C22semidirect
185. #2489C22semidirect
186. #2489C22semidirect
191. #2454C22semidirect
192. #2454C22semidirect
193. #2453C22semidirect
194. #2453C22semidirect
195. #2453C22semidirect
196. #2453C22semidirect
197. #2452C22semidirect
198. #2452C22semidirect
199. #2451C22semidirect
200. #2451C22semidirect
201. #2451C22semidirect
202. #2451C22semidirect
209. #2448C22semidirect
210. #2448C22semidirect
219. #2446C22semidirect
220. #2446C22semidirect
228. #2429C22semidirect
229. #2429C22semidirect
238. #2427C22semidirect
239. #2427C22semidirect
246. #2423C22semidirect
247. #2423C22semidirect
248. #2423C22semidirect
249. #2422C22semidirect
250. #2421C22semidirect
251. #2421C22semidirect
252. #2421C22semidirect
253. #2420C22semidirect
260. #2396C22semidirect
261. #2396C22semidirect
262. #2396C22semidirect
263. #2396C22semidirect
266. #2379C22semidirect
267. #2378C22semidirect
268. #2377C22semidirect
269. #2376C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect

Maximal subgroups

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

subgroupindex
#531412
#531382
#531102
#531082
#530272
#530212
#529792
#529642
#523422
#523412
#457452
#457182
#457032
#456892
#456752
#456392
#456192
#455942
#455122
#454752
#356772
#356732
#356622
#356282
#355852
#355562
#353272
#353082
#352552
#352542
#351722
#351682
#349472
#347452
C2×#24472