Finite Group Databasebeta

← #7651279

Subgroups — #7651279

Order 512.

4815 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42781C212yesmaximal, complemented
2#42762C212yesmaximal, complemented
3#42745C212yesmaximal, complemented
4#42737C212yesmaximal, complemented
5#42735C212yesmaximal, complemented
6#42596C212yesmaximal, complemented
7#42594C212yesmaximal, complemented
8#42561C212yesmaximal, complemented
9#40567C214yesmaximal, complemented
10#40544C214yesmaximal, complemented
11#40203C212yesmaximal, complemented
12#40154C212yesmaximal, complemented
13#40151C212yesmaximal, complemented
14#40093C212yesmaximal, complemented
15#39538C212yesmaximal, complemented
16#39251C212yesmaximal, complemented
17#39247C212yesmaximal, complemented
18#39010C212yesmaximal, complemented
19#38392C214yesmaximal, complemented
20#38054C214yesmaximal, complemented
21#35644C211yesmaximal, characteristic, complemented
22#35626C211yesmaximal, characteristic, complemented
23#35584C211yesmaximal, characteristic
24#35566C211yesmaximal, characteristic, complemented
25#35558C211yesmaximal, characteristic, complemented
26#35529C211yesmaximal, characteristic, complemented
27#35338C211yesmaximal, characteristic, complemented
28#35311C211yesmaximal, characteristic, complemented
29#35154C211yesmaximal, characteristic, complemented
30#34814C211yesmaximal, characteristic, complemented
31#34739C211yesmaximal, characteristic, complemented
32C2×#2426C211yesmaximal, characteristic
33#34272C211yesmaximal, characteristic, complemented
34#34204C211yesmaximal, characteristic
35#34187C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×#124C2211yescharacteristic
40C22×C22⋊Q8C2211yescharacteristic
41C22×#121C2211yescharacteristic
42C2×#518C2211yescharacteristic
43C22×C4×Q8C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2861C2212yescomplemented
46#2861C2212yescomplemented
47#2855C2214yes—
48#2855C2212yescomplemented
49#2855C2212yescomplemented
50#2838C2214yescomplemented
51#2831C2214yescomplemented
52#2830C2214yescomplemented
53#2830C2214yescomplemented
54#2796C2214yescomplemented
55#2796C2214yescomplemented
56#2793C2214yescomplemented
57#2790C2214yescomplemented
58#2777C2214yescomplemented
59#2775C2214yescomplemented
60#2772C2214yescomplemented
61#2772C2214yescomplemented
62#2770C2214yescomplemented
63#2765C2214yescomplemented
64#2764C2214yescomplemented
65#2763C2214yescomplemented
66#2761C2214yescomplemented
67#2761C2214yescomplemented
68#2759C2214yescomplemented
69#2757C2214yescomplemented
70#2757C2214yescomplemented
71#2754C2214yescomplemented
72#2751C2214yescomplemented
73#2751C2214yescomplemented
74#2739C2214yescomplemented
75#2737C2214yescomplemented
76#2737C2214yescomplemented
77#2729C2214yescomplemented
78#2723C2214yescomplemented
79#2723C2214yescomplemented
80#2716C2214yescomplemented
81#2715C2214yescomplemented
82#2715C2214yescomplemented
83#2700C2214yescomplemented
84#2700C2214yescomplemented
85#2698C2214yescomplemented
86#2665C2214yescomplemented
87#2654C2214yescomplemented
88#2652C2214yescomplemented
89#2651C2214yescomplemented
90#2651C2214yescomplemented
91#2650C2214yescomplemented
92#2650C2214yescomplemented
93#2644C2214yescomplemented
94#2640C2212yescomplemented
95#2640C2212yescomplemented
96#2640C2214yescomplemented
97#2638C2214yescomplemented
98#2638C2214yescomplemented
99#2637C2214yescomplemented
100#2627C2214yes—
101#2625C2212yescomplemented
102#2625C2212yescomplemented
103#2592C2212yescomplemented
104#2592C2212yescomplemented
105#2592C2212yescomplemented
106#2592C2212yescomplemented
107#2584C2212yescomplemented
108#2584C2212yescomplemented
109#2567C2212yescomplemented
110#2566C2212yescomplemented
111#2566C2212yescomplemented
112#2563C2212yescomplemented
113#2561C2214yes—
114#2561C2214yes—
115#2561C2214yes—
116#2561C2214yes—
117#2552C2212yescomplemented
118#2551C2212yescomplemented
119#2550C2212yescomplemented
120#2550C2212yescomplemented
121#2549C2214yes—
122#2546C2212yescomplemented
123#2542C2212yescomplemented
124#2532C2214yescomplemented
125#2530C2214yescomplemented
126#2529C2214yescomplemented
127#2527C2214yescomplemented
128#2515C2214yescomplemented
129#2513C2212yescomplemented
130#2513C2212yescomplemented
131#2513C2212yescomplemented
132#2513C2212yescomplemented
133#2512C2214yescomplemented
134#2512C2212yescomplemented
135#2512C2212yescomplemented
136#2512C2212yescomplemented
137#2512C2212yescomplemented
138#2503C2214yes—
139#2503C2212yescomplemented
140#2502C2212yescomplemented
141#2499C2212yescomplemented
142#2499C2212yescomplemented
143#2497C2211yescharacteristic, complemented
144#2497C2211yescharacteristic, complemented
145#2496C2211yescharacteristic, complemented
146#2496C2211yescharacteristic, complemented
147#2495C2211yescharacteristic, complemented
148#2495C2211yescharacteristic, complemented
149#2494C2211yescharacteristic, complemented
150#2494C2211yescharacteristic, complemented
151#2493C2212yes—
152#2493C2212yes—
153#2492C2212yescomplemented
154#2492C2212yescomplemented
155#2492C2212yescomplemented
156#2492C2212yescomplemented
157#2491C2212yes—
158#2491C2212yes—
159#2491C2212yes—
160#2491C2212yes—
161#2490C2212yes—
162#2490C2212yes—
163#2490C2212yes—
164#2490C2212yes—
165#2489C2212yescomplemented
166#2489C2212yescomplemented
167#2489C2212yescomplemented
168#2489C2212yescomplemented
169#2484C2214yes—
170#2483C2214yes—
171#2483C2214yes—
172#2483C2214yes—
173#2480C2212yes—
174#2480C2214yes—
175#2480C2212yes—
176#2480C2214yes—
177#2468C2214yescomplemented
178#2468C2214yescomplemented
179#2465C2214yescomplemented
180#2454C2212yescomplemented
181#2454C2212yescomplemented
182#2453C2212yescomplemented
183#2453C2212yescomplemented
184#2453C2212yescomplemented
185#2453C2212yescomplemented
186#2452C2212yescomplemented
187#2452C2214yescomplemented
188#2452C2212yescomplemented
189#2451C2212yescomplemented
190#2451C2212yescomplemented
191#2451C2212yescomplemented
192#2451C2212yescomplemented
193#2448C2214yescomplemented
194#2447C2212yescomplemented
195#2447C2212yescomplemented
196#2447C2212yescomplemented
197#2447C2212yescomplemented
198#2447C2212yescomplemented
199#2447C2212yescomplemented
200#2447C2212yescomplemented
201#2447C2212yescomplemented
202#2447C2214yescomplemented
203#2442C2211yescharacteristic, complemented
204#2442C2211yescharacteristic, complemented
205#2441C2211yescharacteristic, complemented
206#2441C2211yescharacteristic, complemented
207#2440C2214yes—
208#2440C2211yescharacteristic, complemented
209#2440C2211yescharacteristic, complemented
210#2439C2211yescharacteristic, complemented
211#2439C2211yescharacteristic, complemented
212#2438C2212yes—
213#2438C2212yes—
214#2437C2212yes—
215#2437C2214yes—
216#2437C2212yes—
217#2437C2214yes—
218#2435C2214yes—
219#2426C2212yes—
220#2426C2212yes—
221#2426C2212yes—
222#2426C2212yes—
223#2426C2212yes—
224#2426C2212yes—
225#2426C2212yes—
226#2426C2212yes—
227#2401C2212yescomplemented
228#2401C2212yescomplemented
229#2396C2212yescomplemented
230#2396C2212yescomplemented
231C2×#396C2212yes—
232C2×#394C2212yes—
233#2370C2212yescomplemented
234#2370C2212yescomplemented
235#2369C2212yescomplemented
236#2368C2214yes—
237#2365C2212yescomplemented
238#2363C2212yes—
239#2363C2212yes—
240#2361C2212yes—
241#2361C2212yes—
242#2360C2214yes—
243#2356C2212yescomplemented
244#2356C2212yescomplemented
245#2356C2212yescomplemented
246#2356C2212yescomplemented
247#2355C2212yescomplemented
248#2355C2212yescomplemented
249#2355C2212yescomplemented
250#2355C2212yescomplemented
251#2342C2214yes—
252D4×C22⋊C4C2214yes—
253#2334C2214yescomplemented
254#2332C2214yescomplemented
255#2331C2212yescomplemented
256#2330C2212yescomplemented
257#2326C2214yescomplemented
258#2324C2212yes—
259#2324C2212yes—
260#2319C2214yescomplemented
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2316C2211yescharacteristic
264#2313C2214yes—
265#2310C2211yescharacteristic
266#2310C2211yescharacteristic
267#2310C2211yescharacteristic
268#2310C2211yescharacteristic
269#2309C2211yescharacteristic
270#2309C2211yescharacteristic
271#2309C2211yescharacteristic
272C4×C4⋊Q8C2212yescomplemented
273C4×#125C2212yescomplemented
274C4×#126C2212yescomplemented
275C4×#126C2212yescomplemented
276C4×C22⋊Q8C2212yescomplemented
277C4×C22⋊Q8C2212yescomplemented
278C4×#121C2212yes—
279C4×#121C2212yes—
280#2296C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284C2×#390C2212yes—
285C2×#390C2211yescharacteristic
286C2×#389C2211yescharacteristic
287C2×#388C2212yes—
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290#2283C2214yes—
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293#2280C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C23×Q8C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C23×D4C2312yes—
302C24×C4C2311yescharacteristic
303#544—28no—
304#544—44no—
305#533—44no—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2314yes—
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#125C2311yescharacteristic
323C2×#124—44no—
324C2×#124C2314yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×C22⋊Q8—44no—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×#121—28no—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348#518—44no—
349C2×C4×Q8—28no—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2314yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×#117—44no—
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2311yescharacteristic
383C22×C22⋊C4C2312yes—
384C22×C22⋊C4C2312yes—
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2314yes—
389C22×C22⋊C4C2311yescharacteristic
390C22×C22⋊C4C2311yescharacteristic
391C22×C22⋊C4C2312yes—
392C22×C22⋊C4C2312yes—
393C22×C42C2312yes—
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396C22×C42C2312yes—
397#401C2312yes—
398#401C2312yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2312yes—
408#400C2312yes—
409#400C2312yes—
410#400C2314yes—
411#400C2312yes—
412#400C2312yes—
413#400C2312yes—
414#400C2314yes—
415#399C2314yes—
416#399C2312yes—
417#399C2312yes—
418#399C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2312yes—
430#398C2314yes—
431#398C2312yes—
432#398C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2312yes—
455#397C2312yes—
456#397C2312yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2312yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2312yes—
470#396C2312yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#396C2314yes—
476#396C2314yes—
477#396C2312yes—
478#396C2312yes—
479#396C2314yes—
480#396C2312yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2312yes—
486#395C2314yes—
487#395C2314yes—
488#395C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2312yes—
508#393C2312yes—
509#391C2314yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2314yes—
527#391C2314yes—
528#391C2314yes—
529#391C2314yes—
530#391C2314yes—
531#391C2314yes—
532#391C2314yes—
533#391C2314yes—
534#391C2312yes—
535#391C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2314yes—
551#390C2314yes—
552#390C2314yes—
553#390C2314yes—
554#390C2314yes—
555#390C2314yes—
556#390C2314yes—
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2314yes—
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2314yes—
580#389C2312yes—
581#389C2314yes—
582#389C2314yes—
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2314yes—
586#389C2311yescharacteristic
587#389C2312yes—
588#389C2314yes—
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
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#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2312yes—
685#385C2314yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2312yes—
695#385C2312yes—
696#385C2312yes—
697#384C2312yes—
698#384C2311yescharacteristic
699#384C2314yes—
700#384C2312yes—
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#383C2312yes—
705#383C2312yes—
706#383C2314yes—
707#383C2314yes—
708#382C2312yes—
709#382C2311yescharacteristic
710#382C2311yescharacteristic
711#382C2312yes—
712#382C2314yes—
713#382C2314yes—
714#382C2314yes—
715#382C2311yescharacteristic
716#382C2311yescharacteristic
717#382C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2312yes—
721#381C2312yes—
722#381C2314yes—
723#381C2314yes—
724#381C2314yes—
725#381C2314yes—
726#381C2314yes—
727#381C2312yes—
728#381C2314yes—
729#381C2314yes—
730#381C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2312yes—
737#380C2311yescharacteristic
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2312yes—
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#379C2314yes—
753#379C2314yes—
754#379C2312yes—
755#379C2312yes—
756#379C2314yes—
757#379C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812#376C2314yes—
813#376C2314yes—
814#376C2312yes—
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C2×#95C2311yescharacteristic
818C43C2312yes—
819C25C2411yescharacteristic
820C25C2412yes—
821C22×Q8—24no—
822C22×Q8—24no—
823C22×Q8—24no—
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2414yes—
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×D4—24no—
831C22×D4—28no—
832C22×D4—24no—
833C22×D4—24no—
834C22×D4—44no—
835C22×D4—82no—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C23×C4—24no—
841C23×C4—24no—
842C23×C4—24no—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C4⋊Q8—28no—
861C4⋊Q8—28no—
862C4⋊Q8—42no—
863C4⋊Q8—42no—
864C4⋊Q8—44no—
865C4⋊Q8—44no—
866C4⋊Q8—84no—
867#126—44no—
868#126—48no—
869#126—44no—
870#126—84no—
871#125—28no—
872#125—28no—
873#125—42no—
874#125—42no—
875#125—44no—
876#125—44no—
877#124—44no—
878#124—44no—
879#124—44no—
880#124—44no—
881#124—48no—
882#124—84no—
883C22⋊Q8—216no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887C22⋊Q8—48no—
888C22⋊Q8—44no—
889C22⋊Q8—48no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—44no—
894C22⋊Q8—84no—
895#121—28no—
896#121—28no—
897#121—28no—
898#121—28no—
899C4×Q8—28no—
900C4×Q8—28no—
901C4×Q8—28no—
902C4×Q8—28no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×Q8—84no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—48no—
911C4×D4—84no—
912#117—24no—
913#117—24no—
914#117—24no—
915#117—24no—
916#117—24no—
917#117—24no—
918#117—24no—
919#117—24no—
920#117—44no—
921#117—44no—
922#117—42no—
923#117—42no—
924C2×C4⋊C4—28no—
925C2×C4⋊C4—24no—
926C2×C4⋊C4—42no—
927C2×C4⋊C4—42no—
928C2×C4⋊C4—44no—
929C2×C4⋊C4—82no—
930C2×C4⋊C4#4118yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
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×C22⋊C4—28no—
1002C2×C22⋊C4—42no—
1003C2×C22⋊C4—44no—
1004C2×C22⋊C4—42no—
1005C2×C22⋊C4—44no—
1006C2×C22⋊C4—48no—
1007C2×C22⋊C4—44no—
1008C2×C22⋊C4—44no—
1009C2×C22⋊C4—44no—
1010C2×C22⋊C4—82no—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C42—28no—
1068C2×C42—24no—
1069C2×C42—24no—
1070C2×C42—44no—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2414yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2414yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2414yes—
1100C2×C42C2412yes—
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2414yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179C24—22no—
1180C24—22no—
1181C24—22no—
1182C24—22no—
1183C24—24no—
1184C24—24no—
1185C24—24no—
1186C24—41no—
1187C24—41no—
1188C24—41no—
1189C24—42no—
1190C24—42no—
1191C24—42no—
1192C24—42no—
1193C24C2514yes—
1194C24C2511yescharacteristic
1195C24C2511yescharacteristic
1196C24C2511yescharacteristic
1197C2×Q8—24no—
1198C2×Q8—24no—
1199C2×Q8—28no—
1200C2×Q8—24no—
1201C2×Q8—24no—
1202C2×Q8—24no—
1203C2×Q8—24no—
1204C2×Q8—42no—
1205C2×Q8—42no—
1206C2×Q8—44no—
1207C2×Q8—42no—
1208C2×Q8—42no—
1209C2×Q8—44no—
1210C2×Q8—42no—
1211C2×Q8—42no—
1212C2×Q8—44no—
1213C2×Q8—44no—
1214C2×Q8—44no—
1215C2×Q8—416no—
1216C2×D4—28no—
1217C2×D4—28no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—28no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—416no—
1229C2×D4—816no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—42no—
1256C22×C4—41no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—42no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—42no—
1266C22×C4—41no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—41no—
1270C22×C4—42no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—416no—
1278C22×C4C2×#4118yes—
1279C22×C4C2×#4114yes—
1280C22×C4H(5,𝔽2)14yes—
1281C22×C42−1+414yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2514yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2514yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2514yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—28no—
1320C4⋊C4—28no—
1321C4⋊C4—28no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—42no—
1381C4⋊C4C2×#4118yes—
1382C4⋊C4C2×#4118yes—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—28no—
1397C22⋊C4—28no—
1398C22⋊C4—22no—
1399C22⋊C4—28no—
1400C22⋊C4—22no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—44no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C42—22no—
1440C42—22no—
1441C42—28no—
1442C42—22no—
1443C42—22no—
1444C42—28no—
1445C42—24no—
1446C42—24no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—22no—
1451C42—24no—
1452C42—24no—
1453C42—24no—
1454C42—24no—
1455C42—24no—
1456C42—24no—
1457C42—42no—
1458C42—42no—
1459C42—42no—
1460C42—44no—
1461C42—44no—
1462C42—42no—
1463C42—44no—
1464C42—44no—
1465C42—44no—
1466C42—42no—
1467C42—42no—
1468C42—44no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—24no—
1480C23—21no—
1481C23—21no—
1482C23—24no—
1483C23—21no—
1484C23—24no—
1485C23—21no—
1486C23—24no—
1487C23—24no—
1488C23—21no—
1489C23—24no—
1490C23—21no—
1491C23—21no—
1492C23—24no—
1493C23—44no—
1494C23—44no—
1495C23—44no—
1496C23—44no—
1497C23—48no—
1498C23—82no—
1499C23—82no—
1500C23—82no—
1501C23—84no—
1502C23—84no—
1503C23—84no—
1504C23—84no—
1505C23—84no—
1506C23—84no—
1507C23C22×#4112yes—
1508C23C2×H(5,𝔽2)12yes—
1509C23C2×2−1+412yes—
1510C23#58512yes—
1511C23C2611yescharacteristic
1512Q8—48no—
1513Q8—48no—
1514Q8—88no—
1515Q8—84no—
1516Q8—84no—
1517Q8—164no—
1518D4—416no—
1519D4—48no—
1520D4—48no—
1521D4—88no—
1522C2×C4—21no—
1523C2×C4—24no—
1524C2×C4—24no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—24no—
1550C2×C4—24no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
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—22no—
1589C2×C4—22no—
1590C2×C4—24no—
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—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—48no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—48no—
1611C2×C4—44no—
1612C2×C4—44no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—82no—
1616C2×C4—82no—
1617C2×C4—84no—
1618C2×C4—82no—
1619C2×C4—84no—
1620C2×C4—84no—
1621C2×C4—164no—
1622C2×C4—164no—
1623C2×C4#542116yes—
1624C2×C4C22×#4118yes—
1625C2×C4C22×#4112yes—
1626C2×C4C22×#4112yes—
1627C2×C4C2×H(5,𝔽2)12yes—
1628C2×C4C2×H(5,𝔽2)12yes—
1629C2×C4C2×2−1+412yes—
1630C2×C4C2×2−1+412yes—
1631C2×C4#58512yes—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—44no—
1646C22—41no—
1647C22—41no—
1648C22—44no—
1649C22—41no—
1650C22—44no—
1651C22—41no—
1652C22—44no—
1653C22—41no—
1654C22—44no—
1655C22—44no—
1656C22—41no—
1657C22—44no—
1658C22—41no—
1659C22—88no—
1660C22—168no—
1661C22C2×#54214yes—
1662C22C23×#4111yescharacteristic
1663C22C22×H(5,𝔽2)11yescharacteristic
1664C22C22×2−1+411yescharacteristic
1665C22C2×#58511yescharacteristic
1666C22C2×#58511yescharacteristic
1667C22H(7,𝔽2)11yescharacteristic
1668C222−1+611yescharacteristic
1669C4—28no—
1670C4—22no—
1671C4—41no—
1672C4—41no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4—42no—
1677C4—41no—
1678C4—42no—
1679C4—42no—
1680C4—42no—
1681C4—42no—
1682C4—41no—
1683C4—41no—
1684C4—44no—
1685C4—41no—
1686C4—42no—
1687C4—42no—
1688C4—41no—
1689C4—42no—
1690C4—42no—
1691C4—41no—
1692C4—42no—
1693C4—42no—
1694C4—41no—
1695C4—44no—
1696C4—42no—
1697C4—42no—
1698C4C2×#54214yes—
1699C4C2×#54214yes—
1700C2—24no—
1701C2—42no—
1702C2—81no—
1703C2—84no—
1704C2C22×#54211yescharacteristic
1705C2#6283111yescharacteristic
1706C2#6287911yescharacteristic
1707C2#6295411yescharacteristic
1708C2#6295511yescharacteristic
1709C2#6299011yescharacteristic
1710C2#6300511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#121C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42781C2semidirect
2. #42762C2semidirect
3. #42745C2semidirect
4. #42737C2semidirect
5. #42735C2semidirect
6. #42596C2semidirect
7. #42594C2semidirect
8. #42561C2semidirect
9. #40567C2semidirect
10. #40544C2semidirect
11. #40203C2semidirect
12. #40154C2semidirect
13. #40151C2semidirect
14. #40093C2semidirect
15. #39538C2semidirect
16. #39251C2semidirect
17. #39247C2semidirect
18. #39010C2semidirect
19. #38392C2semidirect
20. #38054C2semidirect
21. #35644C2semidirect
22. #35626C2semidirect
24. #35566C2semidirect
25. #35558C2semidirect
26. #35529C2semidirect
27. #35338C2semidirect
28. #35311C2semidirect
29. #35154C2semidirect
30. #34814C2semidirect
31. #34739C2semidirect
33. #34272C2semidirect
35. #34187C2semidirect
45. #2861C22semidirect
46. #2861C22semidirect
48. #2855C22semidirect
49. #2855C22semidirect
50. #2838C22semidirect
51. #2831C22semidirect
52. #2830C22semidirect
53. #2830C22semidirect
54. #2796C22semidirect
55. #2796C22semidirect
56. #2793C22semidirect
57. #2790C22semidirect
58. #2777C22semidirect
59. #2775C22semidirect
60. #2772C22semidirect
61. #2772C22semidirect
62. #2770C22semidirect
63. #2765C22semidirect
64. #2764C22semidirect
65. #2763C22semidirect
66. #2761C22semidirect
67. #2761C22semidirect
68. #2759C22semidirect
69. #2757C22semidirect
70. #2757C22semidirect
71. #2754C22semidirect
72. #2751C22semidirect
73. #2751C22semidirect
74. #2739C22semidirect
75. #2737C22semidirect
76. #2737C22semidirect
77. #2729C22semidirect
78. #2723C22semidirect
79. #2723C22semidirect
80. #2716C22semidirect
81. #2715C22semidirect
82. #2715C22semidirect
83. #2700C22semidirect
84. #2700C22semidirect
85. #2698C22semidirect
86. #2665C22semidirect
87. #2654C22semidirect
88. #2652C22semidirect
89. #2651C22semidirect
90. #2651C22semidirect
91. #2650C22semidirect
92. #2650C22semidirect
93. #2644C22semidirect
94. #2640C22semidirect
95. #2640C22semidirect
96. #2640C22semidirect
97. #2638C22semidirect
98. #2638C22semidirect
99. #2637C22semidirect
101. #2625C22semidirect
102. #2625C22semidirect
103. #2592C22semidirect
104. #2592C22semidirect
105. #2592C22semidirect
106. #2592C22semidirect
107. #2584C22semidirect
108. #2584C22semidirect
109. #2567C22semidirect
110. #2566C22semidirect
111. #2566C22semidirect
112. #2563C22semidirect
117. #2552C22semidirect
118. #2551C22semidirect
119. #2550C22semidirect
120. #2550C22semidirect
122. #2546C22semidirect
123. #2542C22semidirect
124. #2532C22semidirect
125. #2530C22semidirect
126. #2529C22semidirect
127. #2527C22semidirect
128. #2515C22semidirect
129. #2513C22semidirect
130. #2513C22semidirect
131. #2513C22semidirect
132. #2513C22semidirect
133. #2512C22semidirect
134. #2512C22semidirect
135. #2512C22semidirect
136. #2512C22semidirect
137. #2512C22semidirect
139. #2503C22semidirect
140. #2502C22semidirect
141. #2499C22semidirect
142. #2499C22semidirect
143. #2497C22semidirect
144. #2497C22semidirect
145. #2496C22semidirect
146. #2496C22semidirect
147. #2495C22semidirect
148. #2495C22semidirect
149. #2494C22semidirect
150. #2494C22semidirect
153. #2492C22semidirect
154. #2492C22semidirect
155. #2492C22semidirect
156. #2492C22semidirect
165. #2489C22semidirect
166. #2489C22semidirect
167. #2489C22semidirect
168. #2489C22semidirect
177. #2468C22semidirect
178. #2468C22semidirect
179. #2465C22semidirect
180. #2454C22semidirect
181. #2454C22semidirect
182. #2453C22semidirect
183. #2453C22semidirect
184. #2453C22semidirect
185. #2453C22semidirect
186. #2452C22semidirect
187. #2452C22semidirect
188. #2452C22semidirect
189. #2451C22semidirect
190. #2451C22semidirect
191. #2451C22semidirect
192. #2451C22semidirect
193. #2448C22semidirect
194. #2447C22semidirect
195. #2447C22semidirect
196. #2447C22semidirect
197. #2447C22semidirect
198. #2447C22semidirect
199. #2447C22semidirect
200. #2447C22semidirect
201. #2447C22semidirect
202. #2447C22semidirect
203. #2442C22semidirect
204. #2442C22semidirect
205. #2441C22semidirect
206. #2441C22semidirect
208. #2440C22semidirect
209. #2440C22semidirect
210. #2439C22semidirect
211. #2439C22semidirect
227. #2401C22semidirect
228. #2401C22semidirect
229. #2396C22semidirect
230. #2396C22semidirect
233. #2370C22semidirect
234. #2370C22semidirect
235. #2369C22semidirect
237. #2365C22semidirect
243. #2356C22semidirect
244. #2356C22semidirect
245. #2356C22semidirect
246. #2356C22semidirect
247. #2355C22semidirect
248. #2355C22semidirect
249. #2355C22semidirect
250. #2355C22semidirect
253. #2334C22semidirect
254. #2332C22semidirect
255. #2331C22semidirect
256. #2330C22semidirect
257. #2326C22semidirect
260. #2319C22semidirect
272. C4×C4⋊Q8C22semidirect
273. C4×#125C22semidirect
274. C4×#126C22semidirect
275. C4×#126C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×C22⋊Q8C22semidirect

Maximal subgroups

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

subgroupindex
#427812
#427622
#427452
#427372
#427352
#425962
#425942
#425612
#405672
#405442
#402032
#401542
#401512
#400932
#395382
#392512
#392472
#390102
#383922
#380542
#356442
#356262
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C2×#24262
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