Finite Group Databasebeta

← #7652443

Subgroups — #7652443

Order 512.

4835 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42904C212yesmaximal, complemented
2#42899C212yesmaximal, complemented
3#42898C212yesmaximal, complemented
4#42871C212yesmaximal, complemented
5#42868C212yesmaximal, complemented
6#42846C212yesmaximal, complemented
7#42841C212yesmaximal, complemented
8#42833C212yesmaximal, complemented
9#42010C214yesmaximal, complemented
10#42009C214yesmaximal, complemented
11#40197C212yesmaximal, complemented
12#40123C212yesmaximal, complemented
13#40119C212yesmaximal, complemented
14#40099C212yesmaximal, complemented
15#39794C212yesmaximal, complemented
16#39249C212yesmaximal, complemented
17#39245C212yesmaximal, complemented
18#39226C212yesmaximal, complemented
19#38469C214yesmaximal, complemented
20#38464C214yesmaximal, complemented
21#35679C211yesmaximal, characteristic, complemented
22#35672C211yesmaximal, characteristic, complemented
23#35558C211yesmaximal, characteristic, complemented
24#35543C211yesmaximal, characteristic, complemented
25#35540C211yesmaximal, characteristic
26#35515C211yesmaximal, characteristic, complemented
27#35265C211yesmaximal, characteristic, complemented
28#35262C211yesmaximal, characteristic
29#35179C211yesmaximal, characteristic, complemented
30#34814C211yesmaximal, characteristic, complemented
31#34739C211yesmaximal, characteristic, complemented
32C2×#2426C211yesmaximal, characteristic
33#34249C211yesmaximal, characteristic, complemented
34#34211C211yesmaximal, characteristic, complemented
35#34203C211yesmaximal, characteristic, complemented
36C2×#533C2211yescharacteristic
37C22×#124C2211yescharacteristic
38C22×C22⋊Q8C2211yescharacteristic
39C22×#121C2211yescharacteristic
40C2×#519C2211yescharacteristic
41C2×#519C2211yescharacteristic
42C2×#518C2211yescharacteristic
43C22×C4×Q8C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2864C2212yescomplemented
46#2859C2212yescomplemented
47#2855C2214yes—
48#2854C2212yes—
49#2854C2212yes—
50#2838C2214yescomplemented
51#2837C2214yescomplemented
52#2837C2214yescomplemented
53#2836C2214yescomplemented
54#2808C2214yescomplemented
55#2807C2214yescomplemented
56#2798C2214yescomplemented
57#2796C2214yescomplemented
58#2796C2214yescomplemented
59#2795C2214yescomplemented
60#2793C2214yescomplemented
61#2790C2214yescomplemented
62#2787C2214yescomplemented
63#2785C2214yescomplemented
64#2783C2214yescomplemented
65#2783C2214yescomplemented
66#2782C2214yescomplemented
67#2781C2214yescomplemented
68#2781C2214yescomplemented
69#2777C2214yescomplemented
70#2775C2214yescomplemented
71#2773C2214yescomplemented
72#2771C2214yescomplemented
73#2765C2214yescomplemented
74#2744C2214yescomplemented
75#2732C2214yescomplemented
76#2727C2214yescomplemented
77#2724C2214yescomplemented
78#2721C2214yescomplemented
79#2720C2214yescomplemented
80#2718C2214yescomplemented
81#2718C2214yescomplemented
82#2694C2214yescomplemented
83#2694C2214yescomplemented
84#2689C2214yescomplemented
85#2680C2214yescomplemented
86#2667C2214yescomplemented
87#2664C2214yescomplemented
88#2663C2214yescomplemented
89#2663C2214yescomplemented
90#2654C2214yescomplemented
91#2654C2214yescomplemented
92#2652C2214yescomplemented
93#2651C2214yescomplemented
94#2651C2214yescomplemented
95#2650C2214yescomplemented
96#2649C2214yescomplemented
97#2649C2214yescomplemented
98#2647C2212yescomplemented
99#2647C2212yescomplemented
100#2627C2214yes—
101#2624C2212yes—
102#2624C2212yes—
103#2596C2214yescomplemented
104#2594C2214yescomplemented
105#2582C2212yescomplemented
106#2582C2212yescomplemented
107#2581C2212yescomplemented
108#2581C2212yescomplemented
109#2580C2212yescomplemented
110#2580C2212yescomplemented
111#2577C2214yescomplemented
112#2575C2214yescomplemented
113#2573C2214yescomplemented
114#2571C2212yescomplemented
115#2570C2212yescomplemented
116#2570C2212yescomplemented
117#2568C2212yescomplemented
118#2567C2212yescomplemented
119#2565C2212yescomplemented
120#2565C2212yescomplemented
121#2560C2214yescomplemented
122#2560C2214yescomplemented
123#2558C2214yescomplemented
124#2558C2214yescomplemented
125#2556C2214yescomplemented
126#2553C2214yescomplemented
127#2553C2214yescomplemented
128#2552C2212yescomplemented
129#2538C2212yescomplemented
130#2538C2212yescomplemented
131#2513C2212yescomplemented
132#2513C2212yescomplemented
133#2513C2212yescomplemented
134#2513C2212yescomplemented
135#2512C2212yescomplemented
136#2512C2212yescomplemented
137#2512C2212yescomplemented
138#2512C2212yescomplemented
139#2509C2212yescomplemented
140#2509C2212yescomplemented
141#2508C2212yescomplemented
142#2508C2212yescomplemented
143#2507C2212yescomplemented
144#2507C2212yescomplemented
145#2506C2212yescomplemented
146#2506C2212yescomplemented
147#2505C2214yes—
148#2505C2214yes—
149#2504C2212yes—
150#2501C2212yes—
151#2500C2212yes—
152#2500C2212yes—
153#2497C2211yescharacteristic, complemented
154#2497C2211yescharacteristic, complemented
155#2496C2211yescharacteristic, complemented
156#2496C2211yescharacteristic, complemented
157#2495C2211yescharacteristic, complemented
158#2495C2211yescharacteristic, complemented
159#2494C2211yescharacteristic, complemented
160#2494C2211yescharacteristic, complemented
161#2493C2212yes—
162#2493C2212yes—
163#2484C2214yes—
164#2483C2214yes—
165#2482C2214yes—
166#2482C2214yes—
167#2482C2214yes—
168#2482C2214yes—
169#2480C2212yes—
170#2480C2214yes—
171#2480C2212yes—
172#2480C2214yes—
173#2473C2214yes—
174#2473C2214yes—
175#2454C2212yescomplemented
176#2454C2212yescomplemented
177#2452C2212yescomplemented
178#2452C2212yescomplemented
179#2448C2212yescomplemented
180#2448C2212yescomplemented
181#2448C2212yescomplemented
182#2448C2212yescomplemented
183#2448C2212yescomplemented
184#2448C2212yescomplemented
185#2448C2212yescomplemented
186#2448C2212yescomplemented
187#2442C2211yescharacteristic, complemented
188#2442C2211yescharacteristic, complemented
189#2441C2211yescharacteristic, complemented
190#2441C2211yescharacteristic, complemented
191#2440C2211yescharacteristic, complemented
192#2440C2211yescharacteristic, complemented
193#2439C2211yescharacteristic, complemented
194#2439C2211yescharacteristic, complemented
195#2438C2212yes—
196#2438C2212yes—
197#2437C2212yes—
198#2437C2214yes—
199#2437C2212yes—
200#2437C2214yes—
201#2426C2212yes—
202#2426C2212yes—
203#2426C2212yes—
204#2426C2212yes—
205#2426C2212yes—
206#2426C2212yes—
207#2426C2212yes—
208#2426C2212yes—
209#2423C2212yescomplemented
210#2423C2212yescomplemented
211#2423C2212yescomplemented
212#2423C2212yescomplemented
213#2422C2212yes—
214#2422C2212yes—
215#2422C2212yes—
216#2422C2212yes—
217#2421C2212yescomplemented
218#2421C2212yescomplemented
219#2421C2212yescomplemented
220#2421C2212yescomplemented
221#2420C2212yes—
222#2420C2212yes—
223#2420C2212yes—
224#2420C2212yes—
225#2405C2214yes—
226#2405C2214yes—
227#2401C2212yescomplemented
228#2401C2212yescomplemented
229#2396C2212yescomplemented
230#2396C2212yescomplemented
231C2×#396C2212yes—
232C2×#394C2212yes—
233#2367C2212yescomplemented
234#2367C2212yescomplemented
235#2367C2212yescomplemented
236#2367C2212yescomplemented
237#2362C2212yescomplemented
238#2362C2212yescomplemented
239#2360C2212yescomplemented
240#2360C2212yescomplemented
241#2351C2212yescomplemented
242#2351C2212yescomplemented
243#2351C2212yescomplemented
244#2351C2212yescomplemented
245Q8×C4⋊C4C2212yescomplemented
246Q8×C4⋊C4C2212yescomplemented
247Q8×C4⋊C4C2212yescomplemented
248Q8×C4⋊C4C2212yescomplemented
249#2344C2214yes—
250#2342C2214yes—
251#2342C2214yes—
252#2342C2214yes—
253#2335C2214yescomplemented
254#2335C2214yescomplemented
255#2334C2214yescomplemented
256#2332C2214yescomplemented
257#2326C2212yescomplemented
258#2326C2212yescomplemented
259#2323C2212yescomplemented
260#2323C2212yescomplemented
261#2317C2214yes—
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2317C2211yescharacteristic
266#2317C2211yescharacteristic
267#2317C2211yescharacteristic
268#2316C2211yescharacteristic
269#2310C2211yescharacteristic
270#2310C2211yescharacteristic
271#2309C2211yescharacteristic
272#2309C2211yescharacteristic
273#2309C2211yescharacteristic
274C4×#126C2212yescomplemented
275C4×#126C2212yescomplemented
276C4×#124C2212yescomplemented
277C4×#124C2212yescomplemented
278C4×C22⋊Q8C2212yescomplemented
279C4×C22⋊Q8C2212yescomplemented
280C4×C22⋊Q8C2212yescomplemented
281C4×C22⋊Q8C2212yescomplemented
282#2296C2214yes—
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285#2296C2211yescharacteristic
286#2296C2211yescharacteristic
287C2×#390C2212yes—
288C2×#390C2211yescharacteristic
289C2×#389C2211yescharacteristic
290C2×#388C2212yes—
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2280C2211yescharacteristic
294#2280C2211yescharacteristic
295#2280C2211yescharacteristic
296#2274C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C23×Q8C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C23×D4C2312yes—
302C24×C4C2311yescharacteristic
303#533—44no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×#126C2312yes—
307C2×#126C2312yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#125C2311yescharacteristic
311C2×#125C2311yescharacteristic
312C2×#125C2314yes—
313C2×#125C2314yes—
314C2×#124—28no—
315C2×#124C2312yes—
316C2×#124C2312yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×C22⋊Q8—28no—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×#121—44no—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339#519—28no—
340#519—44no—
341#518—44no—
342C2×C4×Q8—44no—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×#117—44no—
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2314yes—
371C2×#117C2314yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2312yes—
383C22×C22⋊C4C2312yes—
384C22×C22⋊C4C2312yes—
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2314yes—
388C22×C22⋊C4C2311yescharacteristic
389C22×C22⋊C4C2312yes—
390C22×C22⋊C4C2311yescharacteristic
391C22×C22⋊C4C2312yes—
392C22×C22⋊C4C2312yes—
393C22×C42C2311yescharacteristic
394C22×C42C2311yescharacteristic
395C22×C42C2312yes—
396C22×C42C2312yes—
397#401C2312yes—
398#401C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#400C2312yes—
416#400C2312yes—
417#400C2312yes—
418#400C2312yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2312yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2312yes—
430#399C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2312yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2312yes—
447#398C2312yes—
448#398C2314yes—
449#397C2312yes—
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#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2312yes—
469#397C2312yes—
470#397C2312yes—
471#397C2314yes—
472#397C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2312yes—
477#396C2312yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2312yes—
484#396C2314yes—
485#396C2312yes—
486#396C2312yes—
487#396C2314yes—
488#396C2312yes—
489#395C2314yes—
490#395C2314yes—
491#395C2312yes—
492#395C2312yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#393C2312yes—
506#393C2314yes—
507#393C2314yes—
508#393C2312yes—
509#391C2314yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2314yes—
519#391C2312yes—
520#391C2312yes—
521#390C2314yes—
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2314yes—
574#389C2311yescharacteristic
575#389C2314yes—
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2314yes—
579#389C2311yescharacteristic
580#389C2314yes—
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2314yes—
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
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#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#385C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2312yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2312yes—
701#385C2312yes—
702#385C2312yes—
703#384C2312yes—
704#384C2312yes—
705#384C2311yescharacteristic
706#384C2312yes—
707#384C2312yes—
708#384C2312yes—
709#384C2314yes—
710#384C2314yes—
711#384C2312yes—
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#383C2312yes—
716#383C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2311yescharacteristic
720#382C2312yes—
721#382C2311yescharacteristic
722#382C2314yes—
723#382C2312yes—
724#382C2312yes—
725#382C2314yes—
726#382C2314yes—
727#382C2312yes—
728#382C2314yes—
729#382C2311yescharacteristic
730#382C2311yescharacteristic
731#381C2314yes—
732#381C2314yes—
733#381C2314yes—
734#381C2314yes—
735#381C2312yes—
736#381C2312yes—
737#381C2312yes—
738#380C2314yes—
739#380C2314yes—
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2312yes—
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2314yes—
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2312yes—
759#379C2314yes—
760#379C2314yes—
761#379C2314yes—
762#379C2312yes—
763#379C2312yes—
764#379C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
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⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814#376C2312yes—
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C2×#95C2311yescharacteristic
818C43C2312yes—
819C25C2411yescharacteristic
820C25C2412yes—
821C22×Q8—24no—
822C22×Q8—24no—
823C22×Q8#4118yes—
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×D4—24no—
829C22×D4—24no—
830C22×D4—24no—
831C22×D4—44no—
832C22×D4—44no—
833C22×D4—82no—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C23×C4—24no—
839C23×C4—24no—
840C23×C4—24no—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2411yescharacteristic
858C4⋊Q8—42no—
859C4⋊Q8—42no—
860#126—44no—
861#126—48no—
862#126—44no—
863#126—84no—
864#125—42no—
865#125—42no—
866#125—84no—
867#125—84no—
868#124—28no—
869#124—28no—
870#124—28no—
871#124—28no—
872#123—48no—
873#123—48no—
874#123—84no—
875#123—84no—
876C22⋊Q8—28no—
877C22⋊Q8—28no—
878C22⋊Q8—28no—
879C22⋊Q8—28no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—48no—
885C22⋊Q8—84no—
886#121—44no—
887#121—44no—
888#121—44no—
889#121—44no—
890C4×Q8—28no—
891C4×Q8—28no—
892C4×Q8—28no—
893C4×Q8—28no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×Q8—44no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—44no—
908#117—216no—
909#117—24no—
910#117—24no—
911#117—24no—
912#117—24no—
913#117—24no—
914#117—24no—
915#117—24no—
916#117—24no—
917#117—44no—
918#117—44no—
919#117—48no—
920#117—42no—
921#117—42no—
922C2×C4⋊C4—28no—
923C2×C4⋊C4—24no—
924C2×C4⋊C4—24no—
925C2×C4⋊C4—42no—
926C2×C4⋊C4—42no—
927C2×C4⋊C4—44no—
928C2×C4⋊C4—82no—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C22⋊C4—28no—
1006C2×C22⋊C4—28no—
1007C2×C22⋊C4—28no—
1008C2×C22⋊C4—42no—
1009C2×C22⋊C4—44no—
1010C2×C22⋊C4—42no—
1011C2×C22⋊C4—44no—
1012C2×C22⋊C4—48no—
1013C2×C22⋊C4—44no—
1014C2×C22⋊C4—82no—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C42—24no—
1072C2×C42—24no—
1073C2×C42—44no—
1074C2×C42—44no—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2412yes—
1100C2×C42C2414yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2414yes—
1104C2×C42C2412yes—
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
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—
1193C24C2511yescharacteristic
1194C24C2514yes—
1195C24C2511yescharacteristic
1196C24C2511yescharacteristic
1197C2×Q8—232no—
1198C2×Q8—24no—
1199C2×Q8—24no—
1200C2×Q8—24no—
1201C2×Q8—24no—
1202C2×Q8—24no—
1203C2×Q8—42no—
1204C2×Q8—42no—
1205C2×Q8—42no—
1206C2×Q8—42no—
1207C2×Q8—42no—
1208C2×Q8C2×#4118yes—
1209C2×Q8C2×#4118yes—
1210C2×D4—28no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—416no—
1223C2×D4—816no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—42no—
1250C22×C4—41no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—42no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—42no—
1260C22×C4—41no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—41no—
1264C22×C4—42no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—416no—
1272C22×C4C2×#4118yes—
1273C22×C4C2×#4114yes—
1274C22×C4H(5,𝔽2)14yes—
1275C22×C42−1+414yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2514yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2514yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2514yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—28no—
1310C4⋊C4—28no—
1311C4⋊C4—28no—
1312C4⋊C4—28no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
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—28no—
1399C22⋊C4—28no—
1400C22⋊C4—28no—
1401C22⋊C4—28no—
1402C22⋊C4—22no—
1403C22⋊C4—28no—
1404C22⋊C4—22no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—44no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
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—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C42—22no—
1440C42—22no—
1441C42—22no—
1442C42—22no—
1443C42—28no—
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—44no—
1460C42—44no—
1461C42—42no—
1462C42—44no—
1463C42—44no—
1464C42—42no—
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—21no—
1480C23—24no—
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—216no—
1513Q8—216no—
1514Q8—84no—
1515Q8—84no—
1516D4—48no—
1517D4—48no—
1518D4—88no—
1519D4—88no—
1520C2×C4—21no—
1521C2×C4—24no—
1522C2×C4—24no—
1523C2×C4—21no—
1524C2×C4—216no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—24no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—24no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—24no—
1595C2×C4—21no—
1596C2×C4—22no—
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—21no—
1606C2×C4—44no—
1607C2×C4—48no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—44no—
1611C2×C4—44no—
1612C2×C4—44no—
1613C2×C4—82no—
1614C2×C4—82no—
1615C2×C4—84no—
1616C2×C4—84no—
1617C2×C4—82no—
1618C2×C4—84no—
1619C2×C4—164no—
1620C2×C4—164no—
1621C2×C4#539116yes—
1622C2×C4C22×#4118yes—
1623C2×C4C22×#4112yes—
1624C2×C4C22×#4112yes—
1625C2×C4C2×H(5,𝔽2)12yes—
1626C2×C4C2×H(5,𝔽2)12yes—
1627C2×C4C2×2−1+412yes—
1628C2×C4C2×2−1+412yes—
1629C2×C4#58512yes—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—44no—
1645C22—41no—
1646C22—44no—
1647C22—41no—
1648C22—44no—
1649C22—41no—
1650C22—44no—
1651C22—44no—
1652C22—41no—
1653C22—41no—
1654C22—44no—
1655C22—44no—
1656C22—41no—
1657C22—88no—
1658C22—168no—
1659C22C2×#53914yes—
1660C22C23×#4111yescharacteristic
1661C22C22×H(5,𝔽2)11yescharacteristic
1662C22C22×2−1+411yescharacteristic
1663C22C2×#58511yescharacteristic
1664C22C2×#58511yescharacteristic
1665C22H(7,𝔽2)11yescharacteristic
1666C222−1+611yescharacteristic
1667C4—28no—
1668C4—22no—
1669C4—42no—
1670C4—42no—
1671C4—41no—
1672C4—41no—
1673C4—42no—
1674C4—42no—
1675C4—41no—
1676C4—41no—
1677C4—44no—
1678C4—42no—
1679C4—42no—
1680C4—42no—
1681C4—42no—
1682C4—44no—
1683C4—41no—
1684C4—42no—
1685C4—42no—
1686C4—41no—
1687C4—42no—
1688C4—42no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—42no—
1693C4—42no—
1694C4—42no—
1695C4—42no—
1696C4C2×#53914yes—
1697C4C2×#53914yes—
1698C2—24no—
1699C2—42no—
1700C2—81no—
1701C2—84no—
1702C2C22×#53911yescharacteristic
1703C2#6283111yescharacteristic
1704C2#6287911yescharacteristic
1705C2#6292411yescharacteristic
1706C2#6295411yescharacteristic
1707C2#6300511yescharacteristic
1708C2#6300611yescharacteristic
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. #42904C2semidirect
2. #42899C2semidirect
3. #42898C2semidirect
4. #42871C2semidirect
5. #42868C2semidirect
6. #42846C2semidirect
7. #42841C2semidirect
8. #42833C2semidirect
9. #42010C2semidirect
10. #42009C2semidirect
11. #40197C2semidirect
12. #40123C2semidirect
13. #40119C2semidirect
14. #40099C2semidirect
15. #39794C2semidirect
16. #39249C2semidirect
17. #39245C2semidirect
18. #39226C2semidirect
19. #38469C2semidirect
20. #38464C2semidirect
21. #35679C2semidirect
22. #35672C2semidirect
23. #35558C2semidirect
24. #35543C2semidirect
26. #35515C2semidirect
27. #35265C2semidirect
29. #35179C2semidirect
30. #34814C2semidirect
31. #34739C2semidirect
33. #34249C2semidirect
34. #34211C2semidirect
35. #34203C2semidirect
45. #2864C22semidirect
46. #2859C22semidirect
50. #2838C22semidirect
51. #2837C22semidirect
52. #2837C22semidirect
53. #2836C22semidirect
54. #2808C22semidirect
55. #2807C22semidirect
56. #2798C22semidirect
57. #2796C22semidirect
58. #2796C22semidirect
59. #2795C22semidirect
60. #2793C22semidirect
61. #2790C22semidirect
62. #2787C22semidirect
63. #2785C22semidirect
64. #2783C22semidirect
65. #2783C22semidirect
66. #2782C22semidirect
67. #2781C22semidirect
68. #2781C22semidirect
69. #2777C22semidirect
70. #2775C22semidirect
71. #2773C22semidirect
72. #2771C22semidirect
73. #2765C22semidirect
74. #2744C22semidirect
75. #2732C22semidirect
76. #2727C22semidirect
77. #2724C22semidirect
78. #2721C22semidirect
79. #2720C22semidirect
80. #2718C22semidirect
81. #2718C22semidirect
82. #2694C22semidirect
83. #2694C22semidirect
84. #2689C22semidirect
85. #2680C22semidirect
86. #2667C22semidirect
87. #2664C22semidirect
88. #2663C22semidirect
89. #2663C22semidirect
90. #2654C22semidirect
91. #2654C22semidirect
92. #2652C22semidirect
93. #2651C22semidirect
94. #2651C22semidirect
95. #2650C22semidirect
96. #2649C22semidirect
97. #2649C22semidirect
98. #2647C22semidirect
99. #2647C22semidirect
103. #2596C22semidirect
104. #2594C22semidirect
105. #2582C22semidirect
106. #2582C22semidirect
107. #2581C22semidirect
108. #2581C22semidirect
109. #2580C22semidirect
110. #2580C22semidirect
111. #2577C22semidirect
112. #2575C22semidirect
113. #2573C22semidirect
114. #2571C22semidirect
115. #2570C22semidirect
116. #2570C22semidirect
117. #2568C22semidirect
118. #2567C22semidirect
119. #2565C22semidirect
120. #2565C22semidirect
121. #2560C22semidirect
122. #2560C22semidirect
123. #2558C22semidirect
124. #2558C22semidirect
125. #2556C22semidirect
126. #2553C22semidirect
127. #2553C22semidirect
128. #2552C22semidirect
129. #2538C22semidirect
130. #2538C22semidirect
131. #2513C22semidirect
132. #2513C22semidirect
133. #2513C22semidirect
134. #2513C22semidirect
135. #2512C22semidirect
136. #2512C22semidirect
137. #2512C22semidirect
138. #2512C22semidirect
139. #2509C22semidirect
140. #2509C22semidirect
141. #2508C22semidirect
142. #2508C22semidirect
143. #2507C22semidirect
144. #2507C22semidirect
145. #2506C22semidirect
146. #2506C22semidirect
153. #2497C22semidirect
154. #2497C22semidirect
155. #2496C22semidirect
156. #2496C22semidirect
157. #2495C22semidirect
158. #2495C22semidirect
159. #2494C22semidirect
160. #2494C22semidirect
175. #2454C22semidirect
176. #2454C22semidirect
177. #2452C22semidirect
178. #2452C22semidirect
179. #2448C22semidirect
180. #2448C22semidirect
181. #2448C22semidirect
182. #2448C22semidirect
183. #2448C22semidirect
184. #2448C22semidirect
185. #2448C22semidirect
186. #2448C22semidirect
187. #2442C22semidirect
188. #2442C22semidirect
189. #2441C22semidirect
190. #2441C22semidirect
191. #2440C22semidirect
192. #2440C22semidirect
193. #2439C22semidirect
194. #2439C22semidirect
209. #2423C22semidirect
210. #2423C22semidirect
211. #2423C22semidirect
212. #2423C22semidirect
217. #2421C22semidirect
218. #2421C22semidirect
219. #2421C22semidirect
220. #2421C22semidirect
227. #2401C22semidirect
228. #2401C22semidirect
229. #2396C22semidirect
230. #2396C22semidirect
233. #2367C22semidirect
234. #2367C22semidirect
235. #2367C22semidirect
236. #2367C22semidirect
237. #2362C22semidirect
238. #2362C22semidirect
239. #2360C22semidirect
240. #2360C22semidirect
241. #2351C22semidirect
242. #2351C22semidirect
243. #2351C22semidirect
244. #2351C22semidirect
245. Q8×C4⋊C4C22semidirect
246. Q8×C4⋊C4C22semidirect
247. Q8×C4⋊C4C22semidirect
248. Q8×C4⋊C4C22semidirect
253. #2335C22semidirect
254. #2335C22semidirect
255. #2334C22semidirect
256. #2332C22semidirect
257. #2326C22semidirect
258. #2326C22semidirect
259. #2323C22semidirect
260. #2323C22semidirect
274. C4×#126C22semidirect
275. C4×#126C22semidirect
276. C4×#124C22semidirect
277. C4×#124C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect

Maximal subgroups

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

subgroupindex
#429042
#428992
#428982
#428712
#428682
#428462
#428412
#428332
#420102
#420092
#401972
#401232
#401192
#400992
#397942
#392492
#392452
#392262
#384692
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C2×#24262
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