Finite Group Databasebeta

← #7652448

Subgroups — #7652448

Order 512.

4908 conjugacy classes of subgroups.

The subgroup lattice has 1745 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42758C212yesmaximal, complemented
2#42731C212yesmaximal, complemented
3#42700C212yesmaximal, complemented
4#42604C212yesmaximal, complemented
5#42564C212yesmaximal, complemented
6#42525C212yesmaximal, complemented
7#42524C212yesmaximal, complemented
8#42523C212yesmaximal, complemented
9#40813C214yesmaximal, complemented
10#40702C214yesmaximal, complemented
11#40171C212yesmaximal, complemented
12#40147C212yesmaximal, complemented
13#40023C212yesmaximal, complemented
14#40020C212yesmaximal, complemented
15#39771C212yesmaximal, complemented
16#39236C212yesmaximal, complemented
17#39213C212yesmaximal, complemented
18#39201C212yesmaximal, complemented
19#38578C214yesmaximal, complemented
20#38506C214yesmaximal, complemented
21#35620C211yesmaximal, characteristic, complemented
22#35556C211yesmaximal, characteristic, complemented
23#35545C211yesmaximal, characteristic, complemented
24#35541C211yesmaximal, characteristic, complemented
25#35533C211yesmaximal, characteristic
26#35515C211yesmaximal, characteristic, complemented
27#35334C211yesmaximal, characteristic, complemented
28#35264C211yesmaximal, characteristic, complemented
29#35180C211yesmaximal, characteristic, complemented
30#34938C211yesmaximal, characteristic, complemented
31C2×#2513C211yesmaximal, characteristic, complemented
32#34744C211yesmaximal, characteristic, complemented
33#34271C211yesmaximal, characteristic, complemented
34#34269C211yesmaximal, characteristic, complemented
35#34253C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#535C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#518C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2861C2212yes—
46#2858C2212yes—
47#2851C2212yescomplemented
48#2851C2212yescomplemented
49#2850C2214yes—
50#2838C2214yescomplemented
51#2832C2214yescomplemented
52#2830C2214yescomplemented
53#2829C2214yescomplemented
54#2800C2214yescomplemented
55#2796C2214yescomplemented
56#2796C2214yescomplemented
57#2795C2214yescomplemented
58#2793C2214yescomplemented
59#2779C2214yescomplemented
60#2772C2214yescomplemented
61#2764C2214yescomplemented
62#2763C2214yescomplemented
63#2761C2214yescomplemented
64#2759C2214yescomplemented
65#2757C2214yescomplemented
66#2754C2214yescomplemented
67#2751C2214yescomplemented
68#2751C2214yescomplemented
69#2746C2214yescomplemented
70#2741C2214yescomplemented
71#2739C2214yescomplemented
72#2737C2214yescomplemented
73#2737C2214yescomplemented
74#2729C2214yescomplemented
75#2723C2214yescomplemented
76#2717C2214yescomplemented
77#2712C2214yescomplemented
78#2712C2214yescomplemented
79#2710C2214yescomplemented
80#2710C2214yescomplemented
81#2701C2214yescomplemented
82#2691C2214yescomplemented
83#2686C2214yescomplemented
84#2674C2214yescomplemented
85#2672C2214yescomplemented
86#2662C2214yescomplemented
87#2653C2214yescomplemented
88#2652C2214yescomplemented
89#2651C2214yescomplemented
90#2650C2214yescomplemented
91#2650C2214yescomplemented
92#2649C2214yescomplemented
93#2641C2212yes—
94#2640C2212yes—
95#2640C2214yescomplemented
96#2639C2214yes—
97#2638C2214yescomplemented
98#2632C2214yescomplemented
99#2630C2214yescomplemented
100#2628C2212yescomplemented
101#2628C2212yescomplemented
102#2624C2214yescomplemented
103#2592C2212yes—
104#2592C2212yes—
105#2592C2212yescomplemented
106#2592C2212yescomplemented
107#2581C2212yescomplemented
108#2581C2212yescomplemented
109#2580C2212yes—
110#2580C2212yes—
111#2580C2212yescomplemented
112#2580C2212yescomplemented
113#2568C2212yescomplemented
114#2568C2212yescomplemented
115#2566C2212yescomplemented
116#2565C2212yescomplemented
117#2564C2214yes—
118#2564C2214yes—
119#2563C2212yescomplemented
120#2563C2212yescomplemented
121#2562C2212yescomplemented
122#2562C2212yescomplemented
123#2552C2211yescharacteristic, complemented
124#2552C2211yescharacteristic, complemented
125#2551C2211yescharacteristic, complemented
126#2551C2211yescharacteristic, complemented
127#2550C2211yescharacteristic, complemented
128#2550C2211yescharacteristic, complemented
129#2550C2211yescharacteristic, complemented
130#2550C2211yescharacteristic, complemented
131#2549C2212yes—
132#2549C2212yes—
133#2548C2212yes—
134#2548C2212yes—
135#2548C2212yes—
136#2548C2212yescomplemented
137#2547C2212yescomplemented
138#2545C2212yes—
139#2544C2212yes—
140#2541C2212yes—
141#2538C2212yes—
142#2538C2212yes—
143#2530C2214yescomplemented
144#2529C2214yescomplemented
145#2515C2214yescomplemented
146#2514C2212yescomplemented
147#2513C2212yes—
148#2513C2212yes—
149#2513C2212yes—
150#2513C2212yes—
151#2513C2212yes—
152#2513C2212yes—
153#2513C2212yes—
154#2513C2212yes—
155#2513C2212yescomplemented
156#2512C2212yescomplemented
157#2511C2212yescomplemented
158#2510C2214yes—
159#2497C2212yescomplemented
160#2496C2212yescomplemented
161#2495C2212yescomplemented
162#2494C2212yescomplemented
163#2491C2212yes—
164#2491C2212yes—
165#2491C2212yes—
166#2491C2212yes—
167#2491C2214yescomplemented
168#2490C2212yes—
169#2490C2212yes—
170#2490C2212yes—
171#2490C2212yes—
172#2481C2214yes—
173#2477C2214yescomplemented
174#2474C2214yescomplemented
175#2472C2214yes—
176#2472C2214yes—
177#2472C2214yes—
178#2472C2214yes—
179#2468C2214yescomplemented
180#2461C2214yescomplemented
181#2458C2214yescomplemented
182#2454C2212yes—
183#2454C2212yes—
184#2452C2212yes—
185#2452C2212yes—
186#2450C2214yes—
187#2450C2214yes—
188#2448C2211yescharacteristic, complemented
189#2448C2211yescharacteristic, complemented
190#2448C2214yescomplemented
191#2447C2212yes—
192#2447C2212yes—
193#2447C2211yescharacteristic, complemented
194#2447C2214yescomplemented
195#2447C2211yescharacteristic, complemented
196#2446C2211yescharacteristic, complemented
197#2446C2211yescharacteristic, complemented
198#2445C2212yes—
199#2445C2212yes—
200#2445C2211yescharacteristic, complemented
201#2445C2211yescharacteristic, complemented
202#2444C2212yes—
203#2444C2212yes—
204#2443C2212yes—
205#2443C2212yes—
206#2442C2212yescomplemented
207#2442C2212yescomplemented
208#2440C2212yes—
209#2440C2212yes—
210#2439C2212yescomplemented
211#2439C2212yescomplemented
212#2437C2214yes—
213#2437C2214yes—
214#2424C2214yes—
215#2424C2214yes—
216#2422C2212yes—
217#2422C2212yes—
218#2422C2214yescomplemented
219#2420C2212yes—
220#2420C2212yes—
221#2416C2212yes—
222#2416C2212yes—
223#2414C2212yes—
224#2414C2212yes—
225#2412C2214yes—
226#2412C2214yes—
227#2399C2212yescomplemented
228#2399C2212yescomplemented
229#2395C2212yescomplemented
230#2395C2212yescomplemented
231C2×#397C2212yes—
232C2×#397C2212yes—
233#2370C2212yescomplemented
234#2370C2212yescomplemented
235#2370C2212yescomplemented
236#2370C2212yescomplemented
237#2369C2212yescomplemented
238#2369C2212yescomplemented
239#2367C2212yes—
240#2367C2212yes—
241#2366C2212yes—
242#2366C2212yes—
243#2365C2212yescomplemented
244#2365C2212yescomplemented
245#2358C2214yes—
246#2358C2214yes—
247#2353C2214yes—
248#2352C2214yes—
249#2347C2212yescomplemented
250#2346C2212yescomplemented
251#2345C2212yescomplemented
252#2344C2212yescomplemented
253#2335C2214yescomplemented
254#2332C2214yescomplemented
255#2329C2214yes—
256#2326C2214yescomplemented
257#2324C2212yes—
258#2324C2212yes—
259#2324C2214yescomplemented
260#2320C2212yescomplemented
261#2319C2212yescomplemented
262#2317C2211yescharacteristic
263#2316C2211yescharacteristic
264#2316C2211yescharacteristic
265#2311C2211yescharacteristic
266#2311C2211yescharacteristic
267#2311C2211yescharacteristic
268#2311C2211yescharacteristic
269#2311C2211yescharacteristic
270#2309C2211yescharacteristic
271C4×C4⋊Q8C2212yescomplemented
272C4×C4⋊Q8C2212yescomplemented
273C4×C22⋊Q8C2214yes—
274C4×#123C2212yescomplemented
275C4×#123C2212yescomplemented
276C4×#121C2212yes—
277C4×#121C2212yes—
278#2297C2211yescharacteristic
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284#2295C2212yescomplemented
285#2293C2212yescomplemented
286C2×#390C2211yescharacteristic
287C2×#390C2211yescharacteristic
288C2×#390C2211yescharacteristic
289C2×#389C2211yescharacteristic
290C2×#388C2212yes—
291C2×#388C2212yes—
292#2285C2211yescharacteristic
293C2×#382C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×D4C2311yescharacteristic
302#544—28no—
303#535—28no—
304#535—44no—
305#533—44no—
306#533—44no—
307#532—44no—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2311yescharacteristic
319C2×#127C2312yes—
320C2×#126C2314yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2311yescharacteristic
324C2×#125C2311yescharacteristic
325C2×#125C2311yescharacteristic
326C2×#125C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×#124C2312yes—
330C2×#124C2311yescharacteristic
331C2×#124C2311yescharacteristic
332C2×#124C2314yes—
333C2×#124C2314yes—
334C2×#124C2314yes—
335C2×#124C2314yes—
336C2×#123C2314yes—
337C2×#123C2312yes—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2314yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#120C2314yes—
356C2×#120C2314yes—
357#520—28no—
358#518—44no—
359C4×#41—44no—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2314yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2314yes—
381C2×C4×D4C2314yes—
382C2×#117C2311yescharacteristic
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2311yescharacteristic
386C2×#117C2311yescharacteristic
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2314yes—
390C2×#117C2311yescharacteristic
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2311yescharacteristic
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2311yescharacteristic
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2312yes—
398C22×C22⋊C4C2314yes—
399C22×C22⋊C4C2312yes—
400C22×C22⋊C4C2312yes—
401C22×C22⋊C4C2312yes—
402C22×C22⋊C4C2312yes—
403C22×C22⋊C4C2312yes—
404C22×C22⋊C4C2312yes—
405C22×C42C2311yescharacteristic
406C22×C42C2311yescharacteristic
407C22×C42C2311yescharacteristic
408C22×C42C2312yes—
409C22×C42C2312yes—
410#401C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2312yes—
420#400C2312yes—
421#400C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2312yes—
427#399C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2312yes—
431#398C2312yes—
432#398C2312yes—
433#398C2312yes—
434#398C2312yes—
435#398C2312yes—
436#398C2312yes—
437#398C2312yes—
438#398C2312yes—
439#398C2312yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2312yes—
465#397C2312yes—
466#397C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2312yes—
479#395C2312yes—
480#395C2312yes—
481#395C2312yes—
482#395C2312yes—
483#395C2312yes—
484#395C2312yes—
485#395C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2312yes—
505#394C2312yes—
506#394C2314yes—
507#394C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2314yes—
520#392C2314yes—
521#392C2314yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2311yescharacteristic
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2311yescharacteristic
533#391C2314yes—
534#391C2314yes—
535#391C2314yes—
536#391C2311yescharacteristic
537#391C2314yes—
538#391C2314yes—
539#391C2311yescharacteristic
540#391C2314yes—
541#391C2311yescharacteristic
542#391C2311yescharacteristic
543#390C2311yescharacteristic
544#390C2312yes—
545#390C2314yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2311yescharacteristic
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2314yes—
557#390C2311yescharacteristic
558#390C2312yes—
559#390C2314yes—
560#390C2314yes—
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#390C2314yes—
565#390C2312yes—
566#390C2312yes—
567#390C2311yescharacteristic
568#390C2312yes—
569#390C2314yes—
570#390C2312yes—
571#390C2314yes—
572#390C2311yescharacteristic
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2311yescharacteristic
578#390C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2314yes—
603#389C2314yes—
604#389C2312yes—
605#389C2312yes—
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2314yes—
611#389C2311yescharacteristic
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
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#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2312yes—
684#386C2314yes—
685#386C2314yes—
686#386C2312yes—
687#386C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2312yes—
691#386C2314yes—
692#386C2314yes—
693#386C2312yes—
694#386C2312yes—
695#386C2312yes—
696#386C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#385C2314yes—
712#385C2312yes—
713#385C2312yes—
714#385C2312yes—
715#385C2312yes—
716#385C2312yes—
717#385C2314yes—
718#385C2312yes—
719#385C2312yes—
720#384C2312yes—
721#384C2312yes—
722#384C2312yes—
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#383C2314yes—
726#383C2314yes—
727#382C2312yes—
728#382C2312yes—
729#382C2314yes—
730#382C2312yes—
731#382C2314yes—
732#382C2312yes—
733#382C2312yes—
734#382C2311yescharacteristic
735#382C2311yescharacteristic
736#381C2314yes—
737#381C2314yes—
738#381C2314yes—
739#381C2312yes—
740#381C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2314yes—
756#380C2314yes—
757#380C2314yes—
758#380C2312yes—
759#380C2312yes—
760#379C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810#376C2312yes—
811#376C2314yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C2×#95C2311yescharacteristic
818C43C2312yes—
819C25C2412yes—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×D4—24no—
834C22×D4—24no—
835C22×D4—24no—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2411yescharacteristic
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C4⋊Q8—28no—
866C4⋊Q8—28no—
867C4⋊Q8—44no—
868C4⋊Q8—42no—
869C4⋊Q8—42no—
870C4⋊Q8—42no—
871C4⋊Q8—42no—
872C4⋊Q8—42no—
873C4⋊Q8—44no—
874#127—28no—
875#127—42no—
876#127—44no—
877#126—84no—
878#125—28no—
879#125—28no—
880#125—42no—
881#125—42no—
882#125—42no—
883#125—42no—
884#124—28no—
885#124—48no—
886#124—42no—
887#124—42no—
888#124—44no—
889#124—84no—
890#124—84no—
891#124—84no—
892#124—84no—
893#123—48no—
894#123—44no—
895#123—44no—
896#123—84no—
897C22⋊Q8—216no—
898C22⋊Q8—44no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901C22⋊Q8—44no—
902C22⋊Q8—48no—
903C22⋊Q8—84no—
904#121—28no—
905#121—28no—
906#121—48no—
907#121—44no—
908#121—44no—
909#121—44no—
910#121—44no—
911#121—84no—
912#120—216no—
913#120—48no—
914C4×Q8—28no—
915C4×Q8—44no—
916C4×Q8—44no—
917C4×Q8—44no—
918C4×Q8—44no—
919C4×Q8—42no—
920C4×Q8—42no—
921C4×Q8—84no—
922C4×D4—216no—
923C4×D4—28no—
924C4×D4—42no—
925C4×D4—42no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—84no—
935C4×D4—84no—
936#117—24no—
937#117—24no—
938#117—24no—
939#117—24no—
940#117—24no—
941#117—28no—
942#117—44no—
943#117—84no—
944#117#4118yes—
945C2×C4⋊C4—24no—
946C2×C4⋊C4—24no—
947C2×C4⋊C4—24no—
948C2×C4⋊C4—28no—
949C2×C4⋊C4—42no—
950C2×C4⋊C4—42no—
951C2×C4⋊C4—82no—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C22⋊C4—44no—
1023C2×C22⋊C4—44no—
1024C2×C22⋊C4—48no—
1025C2×C22⋊C4—82no—
1026C2×C22⋊C4—82no—
1027C2×C22⋊C4—82no—
1028C2×C22⋊C4—82no—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C42—24no—
1087C2×C42—24no—
1088C2×C42—24no—
1089C2×C42—44no—
1090C2×C42—82no—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2414yes—
1116C2×C42C2414yes—
1117C2×C42C2412yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122#95C2414yes—
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2414yes—
1128#95C2414yes—
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
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#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190C24—24no—
1191C24—24no—
1192C24—24no—
1193C24—42no—
1194C24—42no—
1195C24—42no—
1196C24—42no—
1197C24C2514yes—
1198C24C2512yes—
1199C24C2512yes—
1200C24C2511yescharacteristic
1201#41—416no—
1202#41—416no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—28no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—24no—
1211C2×Q8—42no—
1212C2×Q8—42no—
1213C2×Q8—42no—
1214C2×Q8—42no—
1215C2×Q8—44no—
1216C2×Q8—42no—
1217C2×Q8—44no—
1218C2×Q8—42no—
1219C2×Q8—42no—
1220C2×Q8—42no—
1221C2×Q8—42no—
1222C2×Q8—42no—
1223C2×Q8—42no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—22no—
1234C2×D4—28no—
1235C2×D4—28no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—24no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—44no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—416no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—28no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—44no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—44no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4C2×#4114yes—
1310C22×C4H(5,𝔽2)14yes—
1311C22×C42−1+414yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2514yes—
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2514yes—
1320C22×C4C2514yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C4⋊C4—24no—
1344C4⋊C4—28no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—28no—
1351C4⋊C4—28no—
1352C4⋊C4—28no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—41no—
1371C4⋊C4—41no—
1372C4⋊C4—41no—
1373C4⋊C4—41no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
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—42no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4C2×#4114yes—
1412C4⋊C4C2×#4114yes—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—28no—
1419C22⋊C4—28no—
1420C22⋊C4—28no—
1421C22⋊C4—28no—
1422C22⋊C4—28no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
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—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4C2×#4118yes—
1470C42—28no—
1471C42—24no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—22no—
1476C42—22no—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—24no—
1481C42—24no—
1482C42—24no—
1483C42—24no—
1484C42—22no—
1485C42—22no—
1486C42—22no—
1487C42—22no—
1488C42—24no—
1489C42—42no—
1490C42—42no—
1491C42—44no—
1492C42—44no—
1493C42—42no—
1494C42—44no—
1495C42—44no—
1496C42—44no—
1497C42—42no—
1498C42—44no—
1499C42—42no—
1500C42C2×#4118yes—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—22no—
1506C23—24no—
1507C23—22no—
1508C23—22no—
1509C23—24no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—24no—
1514C23—22no—
1515C23—22no—
1516C23—24no—
1517C23—24no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—24no—
1524C23—24no—
1525C23—22no—
1526C23—48no—
1527C23—84no—
1528C23—84no—
1529C23—84no—
1530C23—84no—
1531C23—84no—
1532C23—84no—
1533C23C22×#4112yes—
1534C23C2×H(5,𝔽2)12yes—
1535C23C2×2−1+412yes—
1536C23C2611yescharacteristic
1537Q8—44no—
1538Q8—44no—
1539Q8—88no—
1540Q8—84no—
1541Q8—84no—
1542Q8—84no—
1543Q8—84no—
1544D4—48no—
1545D4—48no—
1546D4—48no—
1547D4—48no—
1548D4—44no—
1549D4—44no—
1550D4—88no—
1551D4—88no—
1552D4—84no—
1553D4—84no—
1554D4—164no—
1555D4—164no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—24no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—24no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—44no—
1640C2×C4—44no—
1641C2×C4—48no—
1642C2×C4—48no—
1643C2×C4—88no—
1644C2×C4—84no—
1645C2×C4—84no—
1646C2×C4—82no—
1647C2×C4—84no—
1648C2×C4—82no—
1649C2×C4—82no—
1650C2×C4—82no—
1651C2×C4—84no—
1652C2×C4—84no—
1653C2×C4—164no—
1654C2×C4—164no—
1655C2×C4#542116yes—
1656C2×C4C22×#4114yes—
1657C2×C4C22×#4114yes—
1658C2×C4C22×#4112yes—
1659C2×C4C22×#4112yes—
1660C2×C4C2×H(5,𝔽2)12yes—
1661C2×C4C2×H(5,𝔽2)12yes—
1662C2×C4C2×2−1+412yes—
1663C2×C4C2×2−1+412yes—
1664C2×C4#58512yes—
1665C2×C4#58512yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—44no—
1676C22—44no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—44no—
1681C22—42no—
1682C22—42no—
1683C22—44no—
1684C22—42no—
1685C22—44no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—44no—
1690C22—42no—
1691C22—44no—
1692C22—42no—
1693C22—168no—
1694C22C2×#54214yes—
1695C22C23×#4111yescharacteristic
1696C22C22×H(5,𝔽2)11yescharacteristic
1697C22C22×2−1+411yescharacteristic
1698C22C2×#58511yescharacteristic
1699C22C2×#58511yescharacteristic
1700C22H(7,𝔽2)11yescharacteristic
1701C22H(7,𝔽2)11yescharacteristic
1702C4—24no—
1703C4—24no—
1704C4—22no—
1705C4—22no—
1706C4—42no—
1707C4—44no—
1708C4—44no—
1709C4—42no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—44no—
1714C4—41no—
1715C4—42no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—42no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—42no—
1724C4—41no—
1725C4—41no—
1726C4—42no—
1727C4—41no—
1728C4—42no—
1729C4—42no—
1730C4—42no—
1731C4C2×#54214yes—
1732C4C2×#54214yes—
1733C2—24no—
1734C2—82no—
1735C2—82no—
1736C2—84no—
1737C2C22×#54211yescharacteristic
1738C2#6283111yescharacteristic
1739C2#6288111yescharacteristic
1740C2#6293011yescharacteristic
1741C2#6295711yescharacteristic
1742C2#6301011yescharacteristic
1743C2#6301011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35533C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42758C2semidirect
2. #42731C2semidirect
3. #42700C2semidirect
4. #42604C2semidirect
5. #42564C2semidirect
6. #42525C2semidirect
7. #42524C2semidirect
8. #42523C2semidirect
9. #40813C2semidirect
10. #40702C2semidirect
11. #40171C2semidirect
12. #40147C2semidirect
13. #40023C2semidirect
14. #40020C2semidirect
15. #39771C2semidirect
16. #39236C2semidirect
17. #39213C2semidirect
18. #39201C2semidirect
19. #38578C2semidirect
20. #38506C2semidirect
21. #35620C2semidirect
22. #35556C2semidirect
23. #35545C2semidirect
24. #35541C2semidirect
26. #35515C2semidirect
27. #35334C2semidirect
28. #35264C2semidirect
29. #35180C2semidirect
30. #34938C2semidirect
31. C2×#2513C2semidirect
32. #34744C2semidirect
33. #34271C2semidirect
34. #34269C2semidirect
35. #34253C2semidirect
47. #2851C22semidirect
48. #2851C22semidirect
50. #2838C22semidirect
51. #2832C22semidirect
52. #2830C22semidirect
53. #2829C22semidirect
54. #2800C22semidirect
55. #2796C22semidirect
56. #2796C22semidirect
57. #2795C22semidirect
58. #2793C22semidirect
59. #2779C22semidirect
60. #2772C22semidirect
61. #2764C22semidirect
62. #2763C22semidirect
63. #2761C22semidirect
64. #2759C22semidirect
65. #2757C22semidirect
66. #2754C22semidirect
67. #2751C22semidirect
68. #2751C22semidirect
69. #2746C22semidirect
70. #2741C22semidirect
71. #2739C22semidirect
72. #2737C22semidirect
73. #2737C22semidirect
74. #2729C22semidirect
75. #2723C22semidirect
76. #2717C22semidirect
77. #2712C22semidirect
78. #2712C22semidirect
79. #2710C22semidirect
80. #2710C22semidirect
81. #2701C22semidirect
82. #2691C22semidirect
83. #2686C22semidirect
84. #2674C22semidirect
85. #2672C22semidirect
86. #2662C22semidirect
87. #2653C22semidirect
88. #2652C22semidirect
89. #2651C22semidirect
90. #2650C22semidirect
91. #2650C22semidirect
92. #2649C22semidirect
95. #2640C22semidirect
97. #2638C22semidirect
98. #2632C22semidirect
99. #2630C22semidirect
100. #2628C22semidirect
101. #2628C22semidirect
102. #2624C22semidirect
105. #2592C22semidirect
106. #2592C22semidirect
107. #2581C22semidirect
108. #2581C22semidirect
111. #2580C22semidirect
112. #2580C22semidirect
113. #2568C22semidirect
114. #2568C22semidirect
115. #2566C22semidirect
116. #2565C22semidirect
119. #2563C22semidirect
120. #2563C22semidirect
121. #2562C22semidirect
122. #2562C22semidirect
123. #2552C22semidirect
124. #2552C22semidirect
125. #2551C22semidirect
126. #2551C22semidirect
127. #2550C22semidirect
128. #2550C22semidirect
129. #2550C22semidirect
130. #2550C22semidirect
136. #2548C22semidirect
137. #2547C22semidirect
143. #2530C22semidirect
144. #2529C22semidirect
145. #2515C22semidirect
146. #2514C22semidirect
155. #2513C22semidirect
156. #2512C22semidirect
157. #2511C22semidirect
159. #2497C22semidirect
160. #2496C22semidirect
161. #2495C22semidirect
162. #2494C22semidirect
167. #2491C22semidirect
173. #2477C22semidirect
174. #2474C22semidirect
179. #2468C22semidirect
180. #2461C22semidirect
181. #2458C22semidirect
188. #2448C22semidirect
189. #2448C22semidirect
190. #2448C22semidirect
193. #2447C22semidirect
194. #2447C22semidirect
195. #2447C22semidirect
196. #2446C22semidirect
197. #2446C22semidirect
200. #2445C22semidirect
201. #2445C22semidirect
206. #2442C22semidirect
207. #2442C22semidirect
210. #2439C22semidirect
211. #2439C22semidirect
218. #2422C22semidirect
227. #2399C22semidirect
228. #2399C22semidirect
229. #2395C22semidirect
230. #2395C22semidirect
233. #2370C22semidirect
234. #2370C22semidirect
235. #2370C22semidirect
236. #2370C22semidirect
237. #2369C22semidirect
238. #2369C22semidirect
243. #2365C22semidirect
244. #2365C22semidirect
249. #2347C22semidirect
250. #2346C22semidirect
251. #2345C22semidirect
252. #2344C22semidirect
253. #2335C22semidirect
254. #2332C22semidirect
256. #2326C22semidirect
259. #2324C22semidirect
260. #2320C22semidirect
261. #2319C22semidirect
271. C4×C4⋊Q8C22semidirect
272. C4×C4⋊Q8C22semidirect
274. C4×#123C22semidirect
275. C4×#123C22semidirect
284. #2295C22semidirect
285. #2293C22semidirect

Maximal subgroups

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

subgroupindex
#427582
#427312
#427002
#426042
#425642
#425252
#425242
#425232
#408132
#407022
#401712
#401472
#400232
#400202
#397712
#392362
#392132
#392012
#385782
#385062
#356202
#355562
#355452
#355412
#355332
#355152
#353342
#352642
#351802
#349382
C2×#25132
#347442
#342712
#342692
#342532