Finite Group Databasebeta

← #7646099

Subgroups — #7646099

Order 512.

4980 conjugacy classes of subgroups.

The subgroup lattice has 1755 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42783C212yesmaximal, complemented
2#42781C212yesmaximal, complemented
3#42737C212yesmaximal, complemented
4#42734C212yesmaximal, complemented
5#42625C212yesmaximal, complemented
6#42624C212yesmaximal, complemented
7#42588C212yesmaximal, complemented
8#42583C212yesmaximal, complemented
9#40203C212yesmaximal, complemented
10#40188C212yesmaximal, complemented
11#40131C212yesmaximal, complemented
12#40121C212yesmaximal, complemented
13#39789C212yesmaximal, complemented
14#39781C212yesmaximal, complemented
15#39251C212yesmaximal, complemented
16#39240C212yesmaximal, complemented
17#37492C214yesmaximal, complemented
18#36988C214yesmaximal, complemented
19#36793C214yesmaximal, complemented
20#35584C211yesmaximal, characteristic, complemented
21#35575C211yesmaximal, characteristic, complemented
22#35566C211yesmaximal, characteristic, complemented
23#35563C211yesmaximal, characteristic
24#35266C211yesmaximal, characteristic, complemented
25#35264C211yesmaximal, characteristic, complemented
26#35172C211yesmaximal, characteristic, complemented
27#35157C211yesmaximal, characteristic, complemented
28#35152C211yesmaximal, characteristic, complemented
29#35151C211yesmaximal, characteristic, complemented
30#35055C214yesmaximal, complemented
31#34814C211yesmaximal, characteristic, complemented
32#34813C211yesmaximal, characteristic, complemented
33#34252C211yesmaximal, characteristic, complemented
34C2×#2363C211yesmaximal, characteristic, complemented
35C4×#544C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C22×#121C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2861C2212yescomplemented
46#2860C2212yescomplemented
47#2860C2212yescomplemented
48#2858C2212yescomplemented
49#2855C2214yes—
50#2853C2214yes—
51#2849C2214yes—
52#2848C2214yes—
53#2830C2214yescomplemented
54#2830C2214yescomplemented
55#2829C2214yescomplemented
56#2829C2214yescomplemented
57#2801C2214yescomplemented
58#2800C2214yescomplemented
59#2796C2214yescomplemented
60#2795C2214yescomplemented
61#2793C2214yescomplemented
62#2777C2214yescomplemented
63#2775C2214yescomplemented
64#2772C2214yescomplemented
65#2772C2214yescomplemented
66#2761C2214yescomplemented
67#2759C2214yescomplemented
68#2757C2214yescomplemented
69#2754C2214yescomplemented
70#2751C2214yescomplemented
71#2741C2214yescomplemented
72#2737C2214yescomplemented
73#2737C2214yescomplemented
74#2731C2214yescomplemented
75#2730C2214yescomplemented
76#2723C2214yescomplemented
77#2716C2214yescomplemented
78#2715C2214yescomplemented
79#2712C2214yescomplemented
80#2710C2214yescomplemented
81#2705C2214yescomplemented
82#2702C2214yescomplemented
83#2701C2214yescomplemented
84#2700C2214yescomplemented
85#2700C2214yescomplemented
86#2691C2214yescomplemented
87#2686C2214yescomplemented
88#2672C2214yescomplemented
89#2665C2214yescomplemented
90#2663C2214yescomplemented
91#2662C2214yescomplemented
92#2662C2214yescomplemented
93#2653C2214yescomplemented
94#2652C2214yescomplemented
95#2651C2214yescomplemented
96#2651C2214yescomplemented
97#2644C2214yescomplemented
98#2644C2212yescomplemented
99#2644C2212yescomplemented
100#2641C2212yescomplemented
101#2640C2212yescomplemented
102#2640C2214yescomplemented
103#2626C2214yes—
104#2626C2214yes—
105#2624C2214yescomplemented
106#2622C2214yes—
107#2622C2214yes—
108#2620C2214yescomplemented
109#2584C2212yescomplemented
110#2584C2212yescomplemented
111#2580C2212yescomplemented
112#2580C2212yescomplemented
113#2567C2212yescomplemented
114#2566C2212yescomplemented
115#2566C2212yescomplemented
116#2564C2214yes—
117#2563C2212yescomplemented
118#2561C2214yes—
119#2552C2212yescomplemented
120#2551C2212yescomplemented
121#2550C2212yescomplemented
122#2550C2212yescomplemented
123#2549C2214yes—
124#2546C2212yescomplemented
125#2542C2212yescomplemented
126#2538C2212yescomplemented
127#2538C2212yescomplemented
128#2534C2214yes—
129#2530C2214yescomplemented
130#2527C2214yescomplemented
131#2521C2214yescomplemented
132#2515C2214yescomplemented
133#2513C2212yescomplemented
134#2513C2212yescomplemented
135#2512C2214yescomplemented
136#2512C2212yescomplemented
137#2512C2212yescomplemented
138#2500C2212yescomplemented
139#2500C2212yescomplemented
140#2499C2212yescomplemented
141#2499C2212yescomplemented
142#2497C2211yescharacteristic, complemented
143#2497C2211yescharacteristic, complemented
144#2496C2211yescharacteristic, complemented
145#2496C2211yescharacteristic, complemented
146#2495C2211yescharacteristic, complemented
147#2495C2211yescharacteristic, complemented
148#2494C2211yescharacteristic, complemented
149#2494C2211yescharacteristic, complemented
150#2493C2212yes—
151#2493C2212yes—
152#2492C2211yescharacteristic, complemented
153#2492C2211yescharacteristic, complemented
154#2491C2212yes—
155#2491C2212yes—
156#2491C2212yes—
157#2491C2212yes—
158#2491C2214yescomplemented
159#2491C2212yescomplemented
160#2491C2212yescomplemented
161#2491C2211yescharacteristic, complemented
162#2491C2211yescharacteristic, complemented
163#2490C2212yes—
164#2490C2212yes—
165#2490C2212yes—
166#2490C2212yes—
167#2490C2212yescomplemented
168#2490C2211yescharacteristic, complemented
169#2490C2212yescomplemented
170#2490C2211yescharacteristic, complemented
171#2489C2211yescharacteristic, complemented
172#2489C2211yescharacteristic, complemented
173#2488C2212yes—
174#2488C2212yes—
175#2485C2212yescomplemented
176#2485C2212yescomplemented
177#2485C2212yescomplemented
178#2485C2212yescomplemented
179#2480C2212yes—
180#2480C2214yes—
181#2480C2214yes—
182#2480C2212yes—
183#2477C2214yescomplemented
184#2472C2212yes—
185#2472C2214yes—
186#2472C2214yes—
187#2472C2212yes—
188#2470C2214yescomplemented
189#2465C2214yescomplemented
190#2458C2214yescomplemented
191#2454C2212yescomplemented
192#2453C2212yescomplemented
193#2452C2212yescomplemented
194#2451C2212yescomplemented
195#2448C2214yescomplemented
196#2447C2212yescomplemented
197#2447C2212yescomplemented
198#2445C2212yescomplemented
199#2445C2212yescomplemented
200#2442C2212yescomplemented
201#2441C2212yescomplemented
202#2441C2212yescomplemented
203#2441C2212yescomplemented
204#2441C2212yescomplemented
205#2441C2212yescomplemented
206#2440C2214yes—
207#2440C2212yescomplemented
208#2439C2212yescomplemented
209#2439C2212yescomplemented
210#2439C2212yescomplemented
211#2439C2212yescomplemented
212#2439C2212yescomplemented
213#2435C2214yes—
214#2428C2212yes—
215#2428C2212yes—
216#2426C2212yes—
217#2426C2212yes—
218#2426C2214yescomplemented
219#2422C2212yescomplemented
220#2422C2212yescomplemented
221#2420C2212yescomplemented
222#2420C2212yescomplemented
223#2417C2214yes—
224#2416C2212yes—
225#2416C2212yes—
226#2414C2212yes—
227#2414C2212yes—
228#2408C2214yes—
229#2401C2212yescomplemented
230#2401C2212yescomplemented
231#2398C2212yescomplemented
232#2398C2212yescomplemented
233#2363C2212yes—
234#2363C2212yes—
235#2363C2212yes—
236#2363C2212yes—
237#2363C2212yes—
238#2363C2212yes—
239#2363C2212yes—
240#2363C2212yes—
241#2357C2212yescomplemented
242#2356C2212yescomplemented
243#2355C2212yescomplemented
244#2354C2212yescomplemented
245#2347C2212yescomplemented
246#2346C2212yescomplemented
247#2345C2212yescomplemented
248#2344C2212yescomplemented
249#2337C2214yescomplemented
250#2335C2214yescomplemented
251#2334C2214yescomplemented
252#2332C2214yescomplemented
253#2331C2212yescomplemented
254#2331C2212yescomplemented
255#2330C2212yescomplemented
256#2330C2212yescomplemented
257#2329C2214yes—
258#2318C2214yes—
259#2317C2211yescharacteristic
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2316C2211yescharacteristic
264#2316C2211yescharacteristic
265#2311C2211yescharacteristic
266#2311C2211yescharacteristic
267#2309C2211yescharacteristic
268#2309C2211yescharacteristic
269#2309C2211yescharacteristic
270C4×C4⋊Q8C2212yescomplemented
271C4×C4⋊Q8C2212yescomplemented
272C4×#125C2212yescomplemented
273C4×#125C2212yescomplemented
274C4×#126C2212yescomplemented
275C4×#126C2212yescomplemented
276C4×#124C2212yescomplemented
277C4×#124C2212yescomplemented
278C4×C22⋊Q8C2214yes—
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283C2×#390C2212yes—
284C2×#390C2211yescharacteristic
285C2×#389C2211yescharacteristic
286#2290C2214yes—
287C2×#388C2212yes—
288C2×#386C2212yes—
289#2285C2211yescharacteristic
290#2280C2211yescharacteristic
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293#2274C2211yescharacteristic
294C4×#117C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C22⋊C4C2212yes—
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C23×D4C2312yes—
302C24×C4C2311yescharacteristic
303C24×C4C2312yes—
304#544—28no—
305#544—44no—
306#535—44no—
307#533—44no—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2314yes—
315C2×#127C2312yes—
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2311yescharacteristic
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#124C2314yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#124C2314yes—
333#525—44no—
334C2×#123C2314yes—
335C2×#123C2312yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×#121—28no—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2311yescharacteristic
352C2×#121C2311yescharacteristic
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#120C2314yes—
358C2×#120C2312yes—
359#520—28no—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2314yes—
364C2×C4×D4—44no—
365C2×C4×D4C2314yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×#117—44no—
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2314yes—
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2311yescharacteristic
392C22×C22⋊C4C2312yes—
393C22×C22⋊C4C2312yes—
394C22×C22⋊C4C2312yes—
395C22×C22⋊C4C2311yescharacteristic
396C22×C22⋊C4C2311yescharacteristic
397C22×C22⋊C4C2312yes—
398C22×C22⋊C4C2312yes—
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2312yes—
402C22×C42C2312yes—
403#401C2312yes—
404#401C2312yes—
405#400C2314yes—
406#400C2312yes—
407#400C2312yes—
408#400C2312yes—
409#400C2312yes—
410#400C2312yes—
411#400C2312yes—
412#400C2312yes—
413#400C2312yes—
414#400C2312yes—
415#400C2312yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2312yes—
430#397C2312yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2312yes—
451#397C2312yes—
452#397C2312yes—
453#397C2312yes—
454#397C2312yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2312yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2312yes—
470#396C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#394C2312yes—
477#394C2312yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2312yes—
499#394C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2312yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2312yes—
511#393C2312yes—
512#393C2312yes—
513#392C2314yes—
514#392C2314yes—
515#391C2314yes—
516#391C2314yes—
517#391C2312yes—
518#391C2312yes—
519#391C2314yes—
520#391C2314yes—
521#391C2312yes—
522#391C2314yes—
523#391C2314yes—
524#391C2314yes—
525#391C2311yescharacteristic
526#391C2311yescharacteristic
527#391C2314yes—
528#391C2311yescharacteristic
529#391C2311yescharacteristic
530#391C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2314yes—
546#390C2314yes—
547#390C2314yes—
548#390C2311yescharacteristic
549#390C2312yes—
550#390C2314yes—
551#390C2312yes—
552#390C2311yescharacteristic
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2314yes—
557#390C2314yes—
558#390C2314yes—
559#390C2314yes—
560#390C2314yes—
561#390C2312yes—
562#390C2312yes—
563#390C2311yescharacteristic
564#390C2311yescharacteristic
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2314yes—
588#389C2314yes—
589#389C2312yes—
590#389C2314yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2312yes—
601#389C2314yes—
602#389C2311yescharacteristic
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#386C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2312yes—
684#386C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2314yes—
697#385C2312yes—
698#385C2314yes—
699#385C2312yes—
700#385C2312yes—
701#384C2312yes—
702#384C2312yes—
703#384C2312yes—
704#384C2314yes—
705#384C2312yes—
706#384C2311yescharacteristic
707#384C2311yescharacteristic
708#383C2312yes—
709#383C2312yes—
710#383C2314yes—
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2314yes—
716#382C2311yescharacteristic
717#382C2311yescharacteristic
718#382C2312yes—
719#382C2312yes—
720#381C2312yes—
721#381C2312yes—
722#381C2314yes—
723#381C2314yes—
724#381C2314yes—
725#381C2312yes—
726#380C2314yes—
727#380C2314yes—
728#380C2312yes—
729#380C2314yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#379C2314yes—
751#379C2314yes—
752#379C2314yes—
753#379C2312yes—
754#379C2312yes—
755#379C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810#376C2312yes—
811#376C2312yes—
812#376C2314yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2311yescharacteristic
816C2×#95C2311yescharacteristic
817C43C2312yes—
818C43C2312yes—
819C25C2412yes—
820C25C2411yescharacteristic
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2414yes—
827C22×Q8C2412yes—
828C22×Q8C2414yes—
829C22×D4—24no—
830C22×D4—28no—
831C22×D4—24no—
832C22×D4—24no—
833C22×D4—82no—
834C22×D4—82no—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C23×C4—24no—
846C23×C4—24no—
847C23×C4—24no—
848C23×C4—44no—
849C23×C4—44no—
850C23×C4—82no—
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2414yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2412yes—
867C23×C4C2411yescharacteristic
868C4⋊Q8—28no—
869C4⋊Q8—28no—
870C4⋊Q8—42no—
871C4⋊Q8—42no—
872C4⋊Q8—44no—
873C4⋊Q8—44no—
874C4⋊Q8—84no—
875#127—44no—
876#126—44no—
877#126—48no—
878#126—44no—
879#126—84no—
880#125—28no—
881#125—28no—
882#125—42no—
883#125—42no—
884#125—44no—
885#125—44no—
886#124—48no—
887#124—44no—
888#124—44no—
889#124—44no—
890#124—84no—
891#124—84no—
892#124—84no—
893#123—48no—
894#123—44no—
895#123—84no—
896C22⋊Q8—216no—
897C22⋊Q8—44no—
898C22⋊Q8—44no—
899C22⋊Q8—48no—
900C22⋊Q8—48no—
901C22⋊Q8—42no—
902C22⋊Q8—42no—
903C22⋊Q8—84no—
904C22⋊Q8—84no—
905#121—28no—
906#121—28no—
907#121—28no—
908#121—28no—
909#121—42no—
910#121—42no—
911#121—44no—
912#121—44no—
913#121—84no—
914#121—84no—
915#120—44no—
916#120—48no—
917C4×Q8—28no—
918C4×Q8—44no—
919C4×Q8—44no—
920C4×Q8—84no—
921C4×D4—216no—
922C4×D4—28no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—44no—
929#117—24no—
930#117—24no—
931#117—24no—
932#117—24no—
933#117—24no—
934#117—24no—
935#117—24no—
936#117—28no—
937#117—44no—
938#117—44no—
939#117—44no—
940#117—44no—
941#117—84no—
942C2×C4⋊C4—24no—
943C2×C4⋊C4—24no—
944C2×C4⋊C4—28no—
945C2×C4⋊C4—82no—
946C2×C4⋊C4#4118yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C22⋊C4—28no—
1009C2×C22⋊C4—42no—
1010C2×C22⋊C4—42no—
1011C2×C22⋊C4—44no—
1012C2×C22⋊C4—44no—
1013C2×C22⋊C4—44no—
1014C2×C22⋊C4—82no—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C42—24no—
1084C2×C42—24no—
1085C2×C42—44no—
1086C2×C42—82no—
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2414yes—
1106C2×C42C2414yes—
1107C2×C42C2414yes—
1108C2×C42C2414yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2414yes—
1112C2×C42C2412yes—
1113C2×C42C2414yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2414yes—
1124#95C2414yes—
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187C24—24no—
1188C24—22no—
1189C24—22no—
1190C24—24no—
1191C24—22no—
1192C24—24no—
1193C24—41no—
1194C24—41no—
1195C24—42no—
1196C24—42no—
1197C24—42no—
1198C24—42no—
1199C24—41no—
1200C24—41no—
1201C24C2514yes—
1202C24C2511yescharacteristic
1203C24C2511yescharacteristic
1204C24C2512yes—
1205C24C2511yescharacteristic
1206#41—416no—
1207C2×Q8—22no—
1208C2×Q8—28no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—24no—
1212C2×Q8—42no—
1213C2×Q8—42no—
1214C2×Q8—44no—
1215C2×Q8—42no—
1216C2×Q8—44no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—44no—
1220C2×Q8—44no—
1221C2×Q8—44no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—22no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—28no—
1229C2×D4—28no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—416no—
1253C2×D4—816no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—24no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—24no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—28no—
1281C22×C4—28no—
1282C22×C4—41no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—42no—
1291C22×C4—41no—
1292C22×C4—42no—
1293C22×C4—41no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—416no—
1302C22×C4—816no—
1303C22×C4C2×#4118yes—
1304C22×C4C2×#4114yes—
1305C22×C4H(5,𝔽2)14yes—
1306C22×C42−1+414yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2514yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2514yes—
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2514yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C4⋊C4—22no—
1338C4⋊C4—28no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—28no—
1345C4⋊C4—28no—
1346C4⋊C4—28no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4C2×#4118yes—
1397C4⋊C4C2×#4118yes—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—28no—
1406C22⋊C4—28no—
1407C22⋊C4—28no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—28no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—44no—
1419C22⋊C4—41no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C42—28no—
1467C42—24no—
1468C42—24no—
1469C42—24no—
1470C42—22no—
1471C42—22no—
1472C42—22no—
1473C42—22no—
1474C42—24no—
1475C42—24no—
1476C42—24no—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—22no—
1481C42—24no—
1482C42—24no—
1483C42—24no—
1484C42—44no—
1485C42—44no—
1486C42—44no—
1487C42—44no—
1488C42—44no—
1489C42—42no—
1490C42—42no—
1491C42—42no—
1492C42—42no—
1493C42—44no—
1494C42—42no—
1495C42—42no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—22no—
1501C23—24no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—24no—
1507C23—22no—
1508C23—21no—
1509C23—21no—
1510C23—22no—
1511C23—24no—
1512C23—21no—
1513C23—21no—
1514C23—24no—
1515C23—22no—
1516C23—22no—
1517C23—21no—
1518C23—21no—
1519C23—24no—
1520C23—24no—
1521C23—22no—
1522C23—22no—
1523C23—21no—
1524C23—21no—
1525C23—24no—
1526C23—21no—
1527C23—21no—
1528C23—44no—
1529C23—48no—
1530C23—48no—
1531C23—44no—
1532C23—44no—
1533C23—48no—
1534C23—84no—
1535C23—82no—
1536C23—82no—
1537C23—84no—
1538C23—82no—
1539C23—84no—
1540C23—82no—
1541C23—84no—
1542C23C22×#4112yes—
1543C23C2×H(5,𝔽2)12yes—
1544C23C2×2−1+412yes—
1545C23C2611yescharacteristic
1546Q8—44no—
1547Q8—88no—
1548Q8—84no—
1549Q8—84no—
1550Q8—164no—
1551D4—48no—
1552D4—48no—
1553D4—48no—
1554D4—44no—
1555D4—88no—
1556D4—88no—
1557D4—84no—
1558D4—84no—
1559D4—164no—
1560D4—164no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—24no—
1565C2×C4—24no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—24no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—24no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—24no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—24no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—48no—
1643C2×C4—44no—
1644C2×C4—44no—
1645C2×C4—48no—
1646C2×C4—44no—
1647C2×C4—44no—
1648C2×C4—44no—
1649C2×C4—44no—
1650C2×C4—44no—
1651C2×C4—48no—
1652C2×C4—88no—
1653C2×C4—88no—
1654C2×C4—82no—
1655C2×C4—82no—
1656C2×C4—84no—
1657C2×C4—88no—
1658C2×C4#542116yes—
1659C2×C4C22×#4118yes—
1660C2×C4C22×#4112yes—
1661C2×C4C22×#4112yes—
1662C2×C4C2×H(5,𝔽2)12yes—
1663C2×C4C2×H(5,𝔽2)12yes—
1664C2×C4C2×2−1+412yes—
1665C2×C4C2×2−1+412yes—
1666C2×C4#58512yes—
1667C2×C4#58512yes—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—42no—
1675C22—44no—
1676C22—41no—
1677C22—41no—
1678C22—42no—
1679C22—41no—
1680C22—41no—
1681C22—44no—
1682C22—44no—
1683C22—41no—
1684C22—42no—
1685C22—41no—
1686C22—42no—
1687C22—41no—
1688C22—41no—
1689C22—44no—
1690C22—41no—
1691C22—41no—
1692C22—42no—
1693C22—44no—
1694C22—41no—
1695C22—42no—
1696C22—44no—
1697C22—41no—
1698C22—42no—
1699C22—41no—
1700C22—41no—
1701C22—44no—
1702C22—88no—
1703C22—816no—
1704C22C2×#54214yes—
1705C22C23×#4111yescharacteristic
1706C22C22×H(5,𝔽2)11yescharacteristic
1707C22C22×2−1+411yescharacteristic
1708C22C2×#58511yescharacteristic
1709C22C2×#58511yescharacteristic
1710C22H(7,𝔽2)11yescharacteristic
1711C22H(7,𝔽2)11yescharacteristic
1712C4—28no—
1713C4—22no—
1714C4—22no—
1715C4—42no—
1716C4—42no—
1717C4—42no—
1718C4—42no—
1719C4—42no—
1720C4—42no—
1721C4—44no—
1722C4—41no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—42no—
1732C4—41no—
1733C4—41no—
1734C4—44no—
1735C4—42no—
1736C4—42no—
1737C4—42no—
1738C4—42no—
1739C4—41no—
1740C4C2×#54214yes—
1741C4C2×#54214yes—
1742C2—24no—
1743C2—82no—
1744C2—81no—
1745C2—81no—
1746C2—84no—
1747C2C22×#54211yescharacteristic
1748C2#6279311yescharacteristic
1749C2#6284611yescharacteristic
1750C2#6292411yescharacteristic
1751C2#6292911yescharacteristic
1752C2#6295511yescharacteristic
1753C2#6295811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35563C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42783C2semidirect
2. #42781C2semidirect
3. #42737C2semidirect
4. #42734C2semidirect
5. #42625C2semidirect
6. #42624C2semidirect
7. #42588C2semidirect
8. #42583C2semidirect
9. #40203C2semidirect
10. #40188C2semidirect
11. #40131C2semidirect
12. #40121C2semidirect
13. #39789C2semidirect
14. #39781C2semidirect
15. #39251C2semidirect
16. #39240C2semidirect
17. #37492C2semidirect
18. #36988C2semidirect
19. #36793C2semidirect
20. #35584C2semidirect
21. #35575C2semidirect
22. #35566C2semidirect
24. #35266C2semidirect
25. #35264C2semidirect
26. #35172C2semidirect
27. #35157C2semidirect
28. #35152C2semidirect
29. #35151C2semidirect
30. #35055C2semidirect
31. #34814C2semidirect
32. #34813C2semidirect
33. #34252C2semidirect
34. C2×#2363C2semidirect
35. C4×#544C2semidirect
45. #2861C22semidirect
46. #2860C22semidirect
47. #2860C22semidirect
48. #2858C22semidirect
53. #2830C22semidirect
54. #2830C22semidirect
55. #2829C22semidirect
56. #2829C22semidirect
57. #2801C22semidirect
58. #2800C22semidirect
59. #2796C22semidirect
60. #2795C22semidirect
61. #2793C22semidirect
62. #2777C22semidirect
63. #2775C22semidirect
64. #2772C22semidirect
65. #2772C22semidirect
66. #2761C22semidirect
67. #2759C22semidirect
68. #2757C22semidirect
69. #2754C22semidirect
70. #2751C22semidirect
71. #2741C22semidirect
72. #2737C22semidirect
73. #2737C22semidirect
74. #2731C22semidirect
75. #2730C22semidirect
76. #2723C22semidirect
77. #2716C22semidirect
78. #2715C22semidirect
79. #2712C22semidirect
80. #2710C22semidirect
81. #2705C22semidirect
82. #2702C22semidirect
83. #2701C22semidirect
84. #2700C22semidirect
85. #2700C22semidirect
86. #2691C22semidirect
87. #2686C22semidirect
88. #2672C22semidirect
89. #2665C22semidirect
90. #2663C22semidirect
91. #2662C22semidirect
92. #2662C22semidirect
93. #2653C22semidirect
94. #2652C22semidirect
95. #2651C22semidirect
96. #2651C22semidirect
97. #2644C22semidirect
98. #2644C22semidirect
99. #2644C22semidirect
100. #2641C22semidirect
101. #2640C22semidirect
102. #2640C22semidirect
105. #2624C22semidirect
108. #2620C22semidirect
109. #2584C22semidirect
110. #2584C22semidirect
111. #2580C22semidirect
112. #2580C22semidirect
113. #2567C22semidirect
114. #2566C22semidirect
115. #2566C22semidirect
117. #2563C22semidirect
119. #2552C22semidirect
120. #2551C22semidirect
121. #2550C22semidirect
122. #2550C22semidirect
124. #2546C22semidirect
125. #2542C22semidirect
126. #2538C22semidirect
127. #2538C22semidirect
129. #2530C22semidirect
130. #2527C22semidirect
131. #2521C22semidirect
132. #2515C22semidirect
133. #2513C22semidirect
134. #2513C22semidirect
135. #2512C22semidirect
136. #2512C22semidirect
137. #2512C22semidirect
138. #2500C22semidirect
139. #2500C22semidirect
140. #2499C22semidirect
141. #2499C22semidirect
142. #2497C22semidirect
143. #2497C22semidirect
144. #2496C22semidirect
145. #2496C22semidirect
146. #2495C22semidirect
147. #2495C22semidirect
148. #2494C22semidirect
149. #2494C22semidirect
152. #2492C22semidirect
153. #2492C22semidirect
158. #2491C22semidirect
159. #2491C22semidirect
160. #2491C22semidirect
161. #2491C22semidirect
162. #2491C22semidirect
167. #2490C22semidirect
168. #2490C22semidirect
169. #2490C22semidirect
170. #2490C22semidirect
171. #2489C22semidirect
172. #2489C22semidirect
175. #2485C22semidirect
176. #2485C22semidirect
177. #2485C22semidirect
178. #2485C22semidirect
183. #2477C22semidirect
188. #2470C22semidirect
189. #2465C22semidirect
190. #2458C22semidirect
191. #2454C22semidirect
192. #2453C22semidirect
193. #2452C22semidirect
194. #2451C22semidirect
195. #2448C22semidirect
196. #2447C22semidirect
197. #2447C22semidirect
198. #2445C22semidirect
199. #2445C22semidirect
200. #2442C22semidirect
201. #2441C22semidirect
202. #2441C22semidirect
203. #2441C22semidirect
204. #2441C22semidirect
205. #2441C22semidirect
207. #2440C22semidirect
208. #2439C22semidirect
209. #2439C22semidirect
210. #2439C22semidirect
211. #2439C22semidirect
212. #2439C22semidirect
218. #2426C22semidirect
219. #2422C22semidirect
220. #2422C22semidirect
221. #2420C22semidirect
222. #2420C22semidirect
229. #2401C22semidirect
230. #2401C22semidirect
231. #2398C22semidirect
232. #2398C22semidirect
241. #2357C22semidirect
242. #2356C22semidirect
243. #2355C22semidirect
244. #2354C22semidirect
245. #2347C22semidirect
246. #2346C22semidirect
247. #2345C22semidirect
248. #2344C22semidirect
249. #2337C22semidirect
250. #2335C22semidirect
251. #2334C22semidirect
252. #2332C22semidirect
253. #2331C22semidirect
254. #2331C22semidirect
255. #2330C22semidirect
256. #2330C22semidirect
270. C4×C4⋊Q8C22semidirect
271. C4×C4⋊Q8C22semidirect
272. C4×#125C22semidirect
273. C4×#125C22semidirect
274. C4×#126C22semidirect
275. C4×#126C22semidirect
276. C4×#124C22semidirect
277. C4×#124C22semidirect

Maximal subgroups

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

subgroupindex
#427832
#427812
#427372
#427342
#426252
#426242
#425882
#425832
#402032
#401882
#401312
#401212
#397892
#397812
#392512
#392402
#374922
#369882
#367932
#355842
#355752
#355662
#355632
#352662
#352642
#351722
#351572
#351522
#351512
#350552
#348142
#348132
#342522
C2×#23632
C4×#5442