Finite Group Databasebeta

← #7650799

Subgroups — #7650799

Order 512.

4631 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42777C212yesmaximal, complemented
2#42772C212yesmaximal, complemented
3#42729C212yesmaximal, complemented
4#42720C212yesmaximal, complemented
5#42717C212yesmaximal, complemented
6#42707C212yesmaximal, complemented
7#42640C212yesmaximal, complemented
8#42635C212yesmaximal, complemented
9#41431C214yesmaximal, complemented
10#41430C214yesmaximal, complemented
11#40192C212yesmaximal, complemented
12#40097C212yesmaximal, complemented
13#40078C212yesmaximal, complemented
14#40074C212yesmaximal, complemented
15#39784C212yesmaximal, complemented
16#39224C212yesmaximal, complemented
17#39033C212yesmaximal, complemented
18#39022C212yesmaximal, complemented
19#38462C214yesmaximal, complemented
20#37884C214yesmaximal, complemented
21#35673C211yesmaximal, characteristic, complemented
22#35668C211yesmaximal, characteristic, complemented
23#35639C211yesmaximal, characteristic, complemented
24#35633C211yesmaximal, characteristic
25#35630C211yesmaximal, characteristic, complemented
26#35542C211yesmaximal, characteristic
27#35312C211yesmaximal, characteristic, complemented
28#35253C211yesmaximal, characteristic, complemented
29#35167C211yesmaximal, characteristic, complemented
30#34814C211yesmaximal, characteristic, complemented
31#34810C211yesmaximal, characteristic
32C2×#2489C211yesmaximal, characteristic, complemented
33#34252C211yesmaximal, characteristic, complemented
34#34217C211yesmaximal, characteristic, complemented
35#34203C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C22×#125C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#519C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2862C2212yescomplemented
46#2861C2212yescomplemented
47#2857C2214yes—
48#2857C2212yes—
49#2851C2212yes—
50#2839C2214yescomplemented
51#2838C2214yes—
52#2838C2214yescomplemented
53#2837C2214yes—
54#2800C2214yes—
55#2795C2214yes—
56#2790C2214yes—
57#2779C2214yes—
58#2777C2214yes—
59#2775C2214yes—
60#2774C2214yescomplemented
61#2773C2214yescomplemented
62#2773C2214yescomplemented
63#2772C2214yes—
64#2770C2214yes—
65#2767C2214yescomplemented
66#2767C2214yescomplemented
67#2767C2214yescomplemented
68#2766C2214yescomplemented
69#2765C2214yes—
70#2762C2214yescomplemented
71#2762C2214yescomplemented
72#2758C2214yescomplemented
73#2754C2214yescomplemented
74#2754C2214yescomplemented
75#2747C2214yescomplemented
76#2746C2214yes—
77#2745C2214yescomplemented
78#2742C2214yescomplemented
79#2741C2214yes—
80#2738C2214yescomplemented
81#2737C2214yes—
82#2717C2214yes—
83#2716C2214yes—
84#2698C2214yes—
85#2674C2214yes—
86#2666C2214yescomplemented
87#2663C2214yes—
88#2659C2214yes—
89#2655C2214yescomplemented
90#2654C2214yescomplemented
91#2653C2214yes—
92#2652C2214yes—
93#2651C2214yes—
94#2650C2214yes—
95#2650C2214yes—
96#2650C2214yescomplemented
97#2647C2214yescomplemented
98#2642C2212yescomplemented
99#2640C2212yescomplemented
100#2629C2212yes—
101#2628C2212yes—
102#2628C2214yescomplemented
103#2579C2214yes—
104#2568C2212yescomplemented
105#2567C2212yescomplemented
106#2565C2212yescomplemented
107#2565C2212yescomplemented
108#2563C2212yes—
109#2562C2212yes—
110#2562C2212yes—
111#2552C2212yescomplemented
112#2552C2212yescomplemented
113#2551C2212yescomplemented
114#2551C2212yescomplemented
115#2550C2212yescomplemented
116#2550C2212yescomplemented
117#2550C2212yescomplemented
118#2550C2212yescomplemented
119#2547C2212yes—
120#2534C2214yes—
121#2530C2214yes—
122#2529C2214yes—
123#2525C2214yescomplemented
124#2521C2214yes—
125#2520C2214yescomplemented
126#2515C2214yes—
127#2514C2212yescomplemented
128#2514C2212yescomplemented
129#2514C2212yescomplemented
130#2514C2212yescomplemented
131#2511C2212yescomplemented
132#2511C2212yescomplemented
133#2511C2212yescomplemented
134#2511C2212yescomplemented
135#2509C2214yescomplemented
136#2508C2214yescomplemented
137#2504C2211yescharacteristic
138#2503C2211yescharacteristic
139#2502C2211yescharacteristic
140#2501C2211yescharacteristic
141#2500C2211yescharacteristic
142#2500C2211yescharacteristic
143#2499C2211yescharacteristic
144#2499C2211yescharacteristic
145#2498C2214yes—
146#2498C2214yes—
147#2498C2212yes—
148#2498C2212yes—
149#2497C2211yescharacteristic
150#2497C2211yescharacteristic
151#2496C2211yescharacteristic
152#2496C2211yescharacteristic
153#2495C2211yescharacteristic
154#2495C2211yescharacteristic
155#2495C2214yescomplemented
156#2494C2211yescharacteristic
157#2494C2211yescharacteristic
158#2494C2214yescomplemented
159#2493C2214yes—
160#2493C2214yes—
161#2493C2212yes—
162#2493C2212yes—
163#2492C2212yes—
164#2492C2212yescomplemented
165#2492C2212yescomplemented
166#2491C2212yes—
167#2490C2212yes—
168#2489C2212yes—
169#2489C2212yes—
170#2489C2212yes—
171#2489C2212yes—
172#2489C2212yes—
173#2489C2212yes—
174#2489C2212yes—
175#2489C2212yes—
176#2489C2212yes—
177#2489C2212yescomplemented
178#2489C2212yescomplemented
179#2488C2214yes—
180#2488C2214yes—
181#2488C2214yes—
182#2487C2214yes—
183#2486C2214yes—
184#2480C2212yes—
185#2480C2212yes—
186#2479C2214yes—
187#2472C2214yes—
188#2470C2214yes—
189#2454C2212yescomplemented
190#2454C2212yescomplemented
191#2453C2212yescomplemented
192#2453C2212yescomplemented
193#2453C2212yescomplemented
194#2453C2212yescomplemented
195#2451C2212yescomplemented
196#2451C2212yescomplemented
197#2448C2212yescomplemented
198#2448C2212yescomplemented
199#2446C2212yescomplemented
200#2446C2212yescomplemented
201#2442C2212yes—
202#2442C2212yescomplemented
203#2442C2212yescomplemented
204#2441C2212yes—
205#2441C2212yescomplemented
206#2441C2212yescomplemented
207#2440C2212yes—
208#2439C2212yes—
209#2438C2214yes—
210#2438C2214yes—
211#2438C2214yes—
212#2437C2214yes—
213#2429C2212yes—
214#2429C2212yes—
215#2427C2212yes—
216#2427C2212yes—
217#2423C2212yescomplemented
218#2423C2212yescomplemented
219#2421C2212yescomplemented
220#2421C2212yescomplemented
221#2417C2212yes—
222#2417C2212yes—
223#2415C2212yes—
224#2415C2212yes—
225#2412C2212yes—
226#2412C2212yes—
227#2401C2212yes—
228#2401C2212yes—
229#2395C2212yes—
230#2395C2212yes—
231C2×#400C2212yes—
232C2×#397C2212yes—
233#2370C2212yescomplemented
234#2370C2212yescomplemented
235#2370C2212yescomplemented
236#2370C2212yescomplemented
237#2362C2212yes—
238#2362C2212yes—
239#2360C2212yes—
240#2360C2212yes—
241#2357C2212yescomplemented
242#2356C2212yescomplemented
243#2355C2212yescomplemented
244#2354C2212yescomplemented
245#2347C2212yescomplemented
246#2346C2212yescomplemented
247#2345C2214yes—
248#2345C2214yes—
249#2345C2212yescomplemented
250#2344C2214yes—
251#2344C2212yescomplemented
252#2342C2214yes—
253#2337C2214yes—
254#2332C2214yes—
255#2331C2214yescomplemented
256#2330C2212yescomplemented
257#2330C2212yescomplemented
258#2323C2212yes—
259#2323C2212yes—
260#2318C2214yes—
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2316C2211yescharacteristic
264#2316C2211yescharacteristic
265#2316C2211yescharacteristic
266#2314C2214yescomplemented
267#2311C2211yescharacteristic
268#2311C2211yescharacteristic
269#2310C2211yescharacteristic
270#2310C2211yescharacteristic
271C4×#125C2212yescomplemented
272C4×#125C2212yescomplemented
273C4×#126C2212yes—
274C4×#126C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×#123C2212yes—
278C4×#123C2212yes—
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283C2×#391C2211yescharacteristic
284C2×#391C2211yescharacteristic
285#2290C2214yes—
286C2×#388C2212yes—
287#2285C2211yescharacteristic
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290C2×#382C2212yes—
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293C2×#380C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C24×C4C2311yescharacteristic
302#544—44no—
303#544—44no—
304#536—44no—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2314yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#125—28no—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#124C2314yes—
323C2×#124C2312yes—
324#525—44no—
325C2×#123C2312yes—
326C2×#123C2312yes—
327C2×#123C2312yes—
328C2×#123C2314yes—
329C2×C22⋊Q8—28no—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#120C2312yes—
344#520—28no—
345#519—44no—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×#117—44no—
356C2×#117C2311yescharacteristic
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2314yes—
365C2×#117C2312yes—
366C2×#117C2314yes—
367C2×#117C2312yes—
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2311yescharacteristic
382C22×C22⋊C4C2312yes—
383C22×C22⋊C4C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2312yes—
387C22×C42C2312yes—
388#401C2314yes—
389#401C2312yes—
390#401C2314yes—
391#401C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2312yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#400C2312yes—
420#400C2312yes—
421#400C2312yes—
422#400C2312yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2312yes—
427#399C2312yes—
428#399C2314yes—
429#399C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2312yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2312yes—
460#397C2312yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2312yes—
465#397C2312yes—
466#397C2312yes—
467#397C2314yes—
468#397C2312yes—
469#397C2314yes—
470#397C2312yes—
471#397C2312yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2312yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2314yes—
491#394C2312yes—
492#394C2312yes—
493#394C2312yes—
494#394C2314yes—
495#393C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2314yes—
513#391C2314yes—
514#391C2314yes—
515#391C2314yes—
516#391C2314yes—
517#391C2314yes—
518#391C2314yes—
519#391C2314yes—
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#390C2314yes—
531#390C2312yes—
532#390C2312yes—
533#390C2311yescharacteristic
534#390C2311yescharacteristic
535#390C2311yescharacteristic
536#390C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2314yes—
573#389C2314yes—
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
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#387C2312yes—
655#387C2314yes—
656#387C2312yes—
657#387C2312yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#386C2314yes—
664#386C2314yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2312yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#384C2311yescharacteristic
683#384C2312yes—
684#384C2311yescharacteristic
685#384C2314yes—
686#384C2312yes—
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#383C2312yes—
692#383C2312yes—
693#383C2314yes—
694#383C2314yes—
695#383C2314yes—
696#382C2311yescharacteristic
697#382C2311yescharacteristic
698#382C2314yes—
699#382C2312yes—
700#382C2314yes—
701#382C2312yes—
702#382C2314yes—
703#382C2314yes—
704#382C2314yes—
705#382C2314yes—
706#382C2311yescharacteristic
707#382C2311yescharacteristic
708#382C2314yes—
709#382C2314yes—
710#382C2311yescharacteristic
711#382C2311yescharacteristic
712#381C2314yes—
713#381C2314yes—
714#381C2314yes—
715#381C2312yes—
716#381C2312yes—
717#381C2312yes—
718#381C2312yes—
719#380C2312yes—
720#380C2311yescharacteristic
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2314yes—
741#380C2311yescharacteristic
742#380C2314yes—
743#380C2314yes—
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2311yescharacteristic
750#379C2312yes—
751#379C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808#376C2312yes—
809#376C2314yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2311yescharacteristic
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C2×#95C2312yes—
818C43C2312yes—
819C25C2411yescharacteristic
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C22×Q8—24no—
824C22×Q8—24no—
825C22×Q8—24no—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2411yescharacteristic
829C22×Q8C2414yes—
830C22×Q8C2414yes—
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2412yes—
835C23×C4—24no—
836C23×C4—24no—
837C23×C4—24no—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2414yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C4⋊Q8—48no—
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859C4⋊Q8—44no—
860C4⋊Q8—44no—
861C4⋊Q8—44no—
862#126—44no—
863#126—44no—
864#125—28no—
865#125—28no—
866#125—28no—
867#125—28no—
868#125—44no—
869#125—44no—
870#125—44no—
871#125—44no—
872#124—44no—
873#124—48no—
874#123—44no—
875#123—44no—
876#123—44no—
877#123—48no—
878C22⋊Q8—28no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—48no—
883C22⋊Q8—48no—
884C22⋊Q8—48no—
885C22⋊Q8—42no—
886C22⋊Q8—42no—
887C22⋊Q8—44no—
888C22⋊Q8—44no—
889#121—42no—
890#121—42no—
891#120—44no—
892C4×Q8—28no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×D4—216no—
898C4×D4—28no—
899C4×D4—44no—
900C4×D4—44no—
901#117—24no—
902#117—24no—
903#117—24no—
904#117—24no—
905#117—24no—
906#117—24no—
907#117—24no—
908#117—28no—
909#117—44no—
910#117—48no—
911#117—44no—
912#117—48no—
913#117—42no—
914#117—42no—
915C2×C4⋊C4—28no—
916C2×C4⋊C4—28no—
917C2×C4⋊C4—28no—
918C2×C4⋊C4—24no—
919C2×C4⋊C4—24no—
920C2×C4⋊C4—28no—
921C2×C4⋊C4—42no—
922C2×C4⋊C4—42no—
923C2×C4⋊C4#4118yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C22⋊C4—28no—
996C2×C22⋊C4—42no—
997C2×C22⋊C4—44no—
998C2×C22⋊C4—42no—
999C2×C22⋊C4—44no—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C42—24no—
1049C2×C42—24no—
1050C2×C42—44no—
1051C2×C42—44no—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2414yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2414yes—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082#95C2411yescharacteristic
1083#95C2411yescharacteristic
1084#95C2411yescharacteristic
1085#95C2411yescharacteristic
1086#95C2411yescharacteristic
1087#95C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168C24—22no—
1169C24—22no—
1170C24—22no—
1171C24—22no—
1172C24—41no—
1173C24—41no—
1174C24—41no—
1175C24C2511yescharacteristic
1176C24C2512yes—
1177C24C2511yescharacteristic
1178C24C2511yescharacteristic
1179#41—416no—
1180C2×Q8—22no—
1181C2×Q8—24no—
1182C2×Q8—24no—
1183C2×Q8—24no—
1184C2×Q8—24no—
1185C2×Q8—22no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×Q8—44no—
1194C2×Q8—44no—
1195C2×Q8—416no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C22×C4—24no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—22no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—22no—
1237C22×C4—28no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—41no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—42no—
1247C22×C4—41no—
1248C22×C4—42no—
1249C22×C4—44no—
1250C22×C4—42no—
1251C22×C4—44no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—41no—
1257C22×C4—42no—
1258C22×C4—416no—
1259C22×C4C2×#4118yes—
1260C22×C4C2×#4114yes—
1261C22×C4H(5,𝔽2)14yes—
1262C22×C42−1+414yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2514yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2514yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2514yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2514yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—28no—
1296C4⋊C4—28no—
1297C4⋊C4—28no—
1298C4⋊C4—28no—
1299C4⋊C4—28no—
1300C4⋊C4—28no—
1301C4⋊C4—28no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
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—44no—
1363C4⋊C4C2×#4118yes—
1364C4⋊C4C2×#4118yes—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—28no—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—24no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—44no—
1387C22⋊C4—41no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C42—22no—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—28no—
1418C42—24no—
1419C42—24no—
1420C42—24no—
1421C42—24no—
1422C42—24no—
1423C42—24no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—24no—
1429C42—28no—
1430C42—44no—
1431C42—42no—
1432C42—42no—
1433C42—44no—
1434C42—42no—
1435C42—42no—
1436C42—44no—
1437C42—44no—
1438C42—44no—
1439C42—44no—
1440C42—44no—
1441C42—42no—
1442C42—42no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—22no—
1455C23—21no—
1456C23—22no—
1457C23—21no—
1458C23—22no—
1459C23—21no—
1460C23—22no—
1461C23—22no—
1462C23—21no—
1463C23—22no—
1464C23—22no—
1465C23—21no—
1466C23—21no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—82no—
1472C23—82no—
1473C23—82no—
1474C23C22×#4112yes—
1475C23C2×H(5,𝔽2)12yes—
1476C23C2×2−1+412yes—
1477C23#58512yes—
1478C23C2611yescharacteristic
1479Q8—48no—
1480Q8—48no—
1481Q8—44no—
1482Q8—164no—
1483Q8—164no—
1484D4—48no—
1485D4—44no—
1486D4—84no—
1487D4—84no—
1488C2×C4—21no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—24no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—24no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—24no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—48no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—48no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—44no—
1580C2×C4—44no—
1581C2×C4—48no—
1582C2×C4—88no—
1583C2×C4—82no—
1584C2×C4—82no—
1585C2×C4—84no—
1586C2×C4—84no—
1587C2×C4—84no—
1588C2×C4—82no—
1589C2×C4—84no—
1590C2×C4#542116yes—
1591C2×C4C22×#4118yes—
1592C2×C4C22×#4112yes—
1593C2×C4C22×#4112yes—
1594C2×C4C2×H(5,𝔽2)12yes—
1595C2×C4C2×H(5,𝔽2)12yes—
1596C2×C4C2×2−1+412yes—
1597C2×C4C2×2−1+412yes—
1598C2×C4#58512yes—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—42no—
1613C22—41no—
1614C22—42no—
1615C22—41no—
1616C22—42no—
1617C22—41no—
1618C22—41no—
1619C22—42no—
1620C22—42no—
1621C22—42no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—42no—
1626C22—88no—
1627C22C2×#54214yes—
1628C22C23×#4111yescharacteristic
1629C22C22×H(5,𝔽2)11yescharacteristic
1630C22C22×2−1+411yescharacteristic
1631C22C2×#58511yescharacteristic
1632C22C2×#58511yescharacteristic
1633C222−1+611yescharacteristic
1634C222−1+611yescharacteristic
1635C4—28no—
1636C4—22no—
1637C4—41no—
1638C4—41no—
1639C4—42no—
1640C4—42no—
1641C4—41no—
1642C4—41no—
1643C4—44no—
1644C4—42no—
1645C4—42no—
1646C4—44no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—42no—
1654C4—42no—
1655C4—42no—
1656C4—42no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—42no—
1663C4—44no—
1664C4C2×#54214yes—
1665C4C2×#54214yes—
1666C2—24no—
1667C2—42no—
1668C2—82no—
1669C2—81no—
1670C2C22×#54211yescharacteristic
1671C2#6283011yescharacteristic
1672C2#6288811yescharacteristic
1673C2#6292811yescharacteristic
1674C2#6292811yescharacteristic
1675C2#6299111yescharacteristic
1676C2#6300511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42777C2semidirect
2. #42772C2semidirect
3. #42729C2semidirect
4. #42720C2semidirect
5. #42717C2semidirect
6. #42707C2semidirect
7. #42640C2semidirect
8. #42635C2semidirect
9. #41431C2semidirect
10. #41430C2semidirect
11. #40192C2semidirect
12. #40097C2semidirect
13. #40078C2semidirect
14. #40074C2semidirect
15. #39784C2semidirect
16. #39224C2semidirect
17. #39033C2semidirect
18. #39022C2semidirect
19. #38462C2semidirect
20. #37884C2semidirect
21. #35673C2semidirect
22. #35668C2semidirect
23. #35639C2semidirect
25. #35630C2semidirect
27. #35312C2semidirect
28. #35253C2semidirect
29. #35167C2semidirect
30. #34814C2semidirect
32. C2×#2489C2semidirect
33. #34252C2semidirect
34. #34217C2semidirect
35. #34203C2semidirect
45. #2862C22semidirect
46. #2861C22semidirect
50. #2839C22semidirect
52. #2838C22semidirect
60. #2774C22semidirect
61. #2773C22semidirect
62. #2773C22semidirect
65. #2767C22semidirect
66. #2767C22semidirect
67. #2767C22semidirect
68. #2766C22semidirect
70. #2762C22semidirect
71. #2762C22semidirect
72. #2758C22semidirect
73. #2754C22semidirect
74. #2754C22semidirect
75. #2747C22semidirect
77. #2745C22semidirect
78. #2742C22semidirect
80. #2738C22semidirect
86. #2666C22semidirect
89. #2655C22semidirect
90. #2654C22semidirect
96. #2650C22semidirect
97. #2647C22semidirect
98. #2642C22semidirect
99. #2640C22semidirect
102. #2628C22semidirect
104. #2568C22semidirect
105. #2567C22semidirect
106. #2565C22semidirect
107. #2565C22semidirect
111. #2552C22semidirect
112. #2552C22semidirect
113. #2551C22semidirect
114. #2551C22semidirect
115. #2550C22semidirect
116. #2550C22semidirect
117. #2550C22semidirect
118. #2550C22semidirect
123. #2525C22semidirect
125. #2520C22semidirect
127. #2514C22semidirect
128. #2514C22semidirect
129. #2514C22semidirect
130. #2514C22semidirect
131. #2511C22semidirect
132. #2511C22semidirect
133. #2511C22semidirect
134. #2511C22semidirect
135. #2509C22semidirect
136. #2508C22semidirect
155. #2495C22semidirect
158. #2494C22semidirect
164. #2492C22semidirect
165. #2492C22semidirect
177. #2489C22semidirect
178. #2489C22semidirect
189. #2454C22semidirect
190. #2454C22semidirect
191. #2453C22semidirect
192. #2453C22semidirect
193. #2453C22semidirect
194. #2453C22semidirect
195. #2451C22semidirect
196. #2451C22semidirect
197. #2448C22semidirect
198. #2448C22semidirect
199. #2446C22semidirect
200. #2446C22semidirect
202. #2442C22semidirect
203. #2442C22semidirect
205. #2441C22semidirect
206. #2441C22semidirect
217. #2423C22semidirect
218. #2423C22semidirect
219. #2421C22semidirect
220. #2421C22semidirect
233. #2370C22semidirect
234. #2370C22semidirect
235. #2370C22semidirect
236. #2370C22semidirect
241. #2357C22semidirect
242. #2356C22semidirect
243. #2355C22semidirect
244. #2354C22semidirect
245. #2347C22semidirect
246. #2346C22semidirect
249. #2345C22semidirect
251. #2344C22semidirect
255. #2331C22semidirect
256. #2330C22semidirect
257. #2330C22semidirect
266. #2314C22semidirect
271. C4×#125C22semidirect
272. C4×#125C22semidirect

Maximal subgroups

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

subgroupindex
#427772
#427722
#427292
#427202
#427172
#427072
#426402
#426352
#414312
#414302
#401922
#400972
#400782
#400742
#397842
#392242
#390332
#390222
#384622
#378842
#356732
#356682
#356392
#356332
#356302
#355422
#353122
#352532
#351672
#348142
#348102
C2×#24892
#342522
#342172
#342032