Finite Group Databasebeta

← #7709334

Subgroups — #7709334

Order 512.

5376 conjugacy classes of subgroups.

The subgroup lattice has 1802 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59700C212yesmaximal, complemented
2#59646C211yesmaximal, characteristic, complemented
3#59483C212yesmaximal, complemented
4#59451C211yesmaximal, characteristic, complemented
5#59419C211yesmaximal, characteristic, complemented
6#59418C211yesmaximal, characteristic, complemented
7#46084C212yesmaximal, complemented
8#46083C212yesmaximal, complemented
9#45922C214yesmaximal, complemented
10#40289C214yesmaximal, complemented
11#40129C212yesmaximal, complemented
12#40081C212yesmaximal, complemented
13#39287C212yesmaximal, complemented
14#39278C214yesmaximal, complemented
15#39194C211yesmaximal, characteristic, complemented
16#39174C211yesmaximal, characteristic, complemented
17#39145C212yesmaximal, complemented
18#39135C212yesmaximal, complemented
19#39069C212yesmaximal, complemented
20#38978C211yesmaximal, characteristic, complemented
21#38956C211yesmaximal, characteristic, complemented
22#37493C212yesmaximal, complemented
23#36987C214yesmaximal, complemented
24#36638C211yesmaximal, characteristic, complemented
25#36631C211yesmaximal, characteristic, complemented
26#36577C211yesmaximal, characteristic, complemented
27#36576C211yesmaximal, characteristic, complemented
28#36144C212yesmaximal, complemented
29#36143C212yesmaximal, complemented
30#36101C211yesmaximal, characteristic, complemented
31#36100C211yesmaximal, characteristic, complemented
32#35032C212yesmaximal, complemented
33#35023C212yesmaximal, complemented
34#34472C212yesmaximal, complemented
35C2×C4×#124C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic, complemented
37C2×#550C2211yescharacteristic
38C2×#550C2211yescharacteristic, complemented
39C2×#548C2212yes—
40C2×#547C2211yescharacteristic
41C2×#529C2212yes—
42C22×#124C2211yescharacteristic
43C2×#525C2212yes—
44C2×#525C2212yes—
45C22×C4×Q8C2211yescharacteristic
46C22×C4×D4C2211yescharacteristic
47#2866C2212yescomplemented
48#2865C2212yescomplemented
49#2864C2211yescharacteristic, complemented
50#2863C2211yescharacteristic, complemented
51#2861C2212yescomplemented
52#2861C2211yescharacteristic, complemented
53#2860C2212yescomplemented
54#2860C2212yescomplemented
55#2860C2211yescharacteristic, complemented
56#2859C2211yescharacteristic, complemented
57#2858C2211yescharacteristic, complemented
58#2857C2211yescharacteristic
59#2857C2212yes—
60#2856C2211yescharacteristic
61#2856C2212yes—
62#2855C2211yescharacteristic
63#2854C2212yes—
64#2854C2212yes—
65#2854C2211yescharacteristic
66#2853C2212yes—
67#2852C2212yes—
68#2851C2211yescharacteristic
69#2850C2212yes—
70#2850C2211yescharacteristic
71#2848C2212yes—
72#2847C2212yes—
73#2829C2214yes—
74#2828C2214yes—
75#2803C2214yescomplemented
76#2803C2214yescomplemented
77#2801C2214yescomplemented
78#2800C2214yescomplemented
79#2800C2214yescomplemented
80#2800C2214yescomplemented
81#2783C2214yescomplemented
82#2782C2214yescomplemented
83#2781C2214yescomplemented
84#2777C2214yescomplemented
85#2773C2214yescomplemented
86#2772C2214yescomplemented
87#2765C2214yescomplemented
88#2761C2214yescomplemented
89#2756C2214yescomplemented
90#2753C2214yescomplemented
91#2753C2214yescomplemented
92#2753C2214yescomplemented
93#2753C2214yescomplemented
94#2741C2214yescomplemented
95#2741C2214yescomplemented
96#2740C2214yescomplemented
97#2733C2214yes—
98#2733C2214yes—
99#2730C2214yes—
100#2730C2214yes—
101#2711C2214yescomplemented
102#2711C2214yescomplemented
103#2707C2214yescomplemented
104#2703C2214yescomplemented
105#2703C2214yescomplemented
106#2699C2214yescomplemented
107#2661C2214yes—
108#2648C2214yes—
109#2644C2212yes—
110#2643C2214yes—
111#2641C2212yes—
112#2624C2212yes—
113#2622C2214yes—
114#2619C2212yes—
115#2617C2214yes—
116#2617C2214yes—
117#2602C2214yescomplemented
118#2602C2214yescomplemented
119#2602C2214yescomplemented
120#2602C2214yescomplemented
121#2602C2214yescomplemented
122#2597C2214yescomplemented
123#2596C2214yescomplemented
124#2595C2214yescomplemented
125#2582C2212yescomplemented
126#2582C2211yescharacteristic, complemented
127#2578C2214yescomplemented
128#2576C2214yescomplemented
129#2570C2212yescomplemented
130#2568C2212yescomplemented
131#2568C2211yescharacteristic, complemented
132#2566C2212yescomplemented
133#2559C2214yescomplemented
134#2558C2214yescomplemented
135#2554C2214yescomplemented
136#2554C2214yescomplemented
137#2553C2214yescomplemented
138#2548C2212yes—
139#2548C2212yes—
140#2548C2212yescomplemented
141#2548C2211yescharacteristic, complemented
142#2543C2214yescomplemented
143#2542C2211yescharacteristic
144#2541C2211yescharacteristic
145#2539C2214yes—
146#2538C2211yescharacteristic
147#2538C2212yescomplemented
148#2538C2211yescharacteristic, complemented
149#2537C2211yescharacteristic
150#2534C2214yes—
151#2518C2214yescomplemented
152#2513C2212yes—
153#2513C2212yescomplemented
154#2510C2214yescomplemented
155#2509C2212yescomplemented
156#2504C2212yescomplemented
157#2500C2212yescomplemented
158#2500C2212yescomplemented
159#2499C2212yescomplemented
160#2499C2212yescomplemented
161#2495C2212yescomplemented
162#2494C2212yescomplemented
163#2494C2212yescomplemented
164#2490C2212yes—
165#2490C2212yescomplemented
166#2490C2212yescomplemented
167#2489C2212yescomplemented
168#2489C2212yescomplemented
169#2471C2214yescomplemented
170#2470C2214yescomplemented
171#2467C2214yescomplemented
172#2466C2214yescomplemented
173#2456C2214yes—
174#2455C2214yes—
175#2453C2212yescomplemented
176#2453C2214yescomplemented
177#2448C2212yes—
178#2448C2212yes—
179#2445C2212yes—
180#2445C2212yes—
181#2442C2214yes—
182#2442C2212yes—
183#2442C2212yescomplemented
184#2441C2212yescomplemented
185#2441C2212yescomplemented
186#2433C2212yes—
187#2432C2212yescomplemented
188#2432C2212yescomplemented
189#2432C2212yescomplemented
190#2431C2212yes—
191#2431C2212yes—
192#2431C2212yescomplemented
193#2431C2212yescomplemented
194#2431C2212yescomplemented
195#2429C2212yescomplemented
196#2428C2212yes—
197#2428C2212yescomplemented
198#2427C2212yescomplemented
199#2427C2212yescomplemented
200#2426C2212yes—
201#2426C2212yes—
202#2426C2212yescomplemented
203#2426C2212yescomplemented
204#2426C2212yescomplemented
205#2426C2214yescomplemented
206#2425C2214yes—
207#2424C2214yes—
208#2424C2214yes—
209#2423C2212yescomplemented
210#2422C2212yes—
211#2422C2212yescomplemented
212#2421C2212yescomplemented
213#2420C2212yescomplemented
214#2420C2212yescomplemented
215#2419C2214yes—
216#2418C2214yes—
217#2418C2214yes—
218#2416C2214yes—
219#2416C2212yes—
220#2415C2212yes—
221#2414C2212yes—
222#2408C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2379C2214yescomplemented
226#2378C2214yescomplemented
227#2367C2212yescomplemented
228#2366C2212yes—
229#2364C2214yes—
230#2363C2214yescomplemented
231#2363C2212yescomplemented
232#2362C2212yescomplemented
233#2361C2212yes—
234#2361C2212yes—
235#2360C2212yescomplemented
236#2359C2214yescomplemented
237#2355C2212yescomplemented
238#2354C2211yescharacteristic
239#2354C2211yescharacteristic
240#2351C2212yescomplemented
241Q8×C4⋊C4C2211yescharacteristic, complemented
242Q8×C4⋊C4C2211yescharacteristic, complemented
243#2349C2214yes—
244D4×C4⋊C4C2212yes—
245#2341C2212yescomplemented
246#2341C2212yescomplemented
247Q8×C22⋊C4C2212yes—
248#2339C2212yescomplemented
249#2339C2212yescomplemented
250#2337C2214yescomplemented
251#2329C2214yescomplemented
252#2326C2212yescomplemented
253#2325C2214yes—
254#2325C2214yes—
255#2323C2212yescomplemented
256#2321C2214yes—
257#2320C2212yescomplemented
258#2318C2214yes—
259#2311C2212yescomplemented
260C4×C4⋊Q8C2211yescharacteristic, complemented
261C4×#127C2211yescharacteristic, complemented
262C4×#125C2211yescharacteristic, complemented
263C4×#126C2212yescomplemented
264C4×#124C2212yes—
265C4×#124C2211yescharacteristic
266C4×#124C2211yescharacteristic
267C4×#124C2211yescharacteristic
268C4×#124C2211yescharacteristic
269C4×#124C2211yescharacteristic
270C4×#124C2211yescharacteristic
271C4×#124C2212yes—
272C4×#124C2212yes—
273C4×#124C2211yescharacteristic
274C4×#124C2212yes—
275C4×#124C2211yescharacteristic
276C4×#124C2212yescomplemented
277C4×#124C2211yescharacteristic, complemented
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2212yes—
280C4×#123C2212yes—
281C4×#121C2211yescharacteristic
282C4×#121C2212yes—
283C4×#121C2212yes—
284C4×#121C2212yes—
285#2298C2212yescomplemented
286#2295C2211yescharacteristic, complemented
287C2×#391C2211yescharacteristic
288#2293C2212yescomplemented
289#2293C2212yescomplemented
290#2293C2211yescharacteristic, complemented
291C2×#390C2211yescharacteristic
292#2290C2212yes—
293C2×#388C2212yes—
294C2×#388C2212yes—
295C2×#382C2211yescharacteristic
296C2×C4×C22⋊C4C2212yes—
297C2×C4×C22⋊C4C2212yes—
298C2×C43C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×Q8C2311yescharacteristic
303C23×D4C2311yescharacteristic
304C24×C4C2312yes—
305#557—44no—
306#550—44no—
307#550—44no—
308#548—216no—
309#547—44no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314C2×#127C2312yes—
315C2×#127C2312yes—
316#529—48no—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#124—28no—
324C2×#124C2312yes—
325C2×#124C2314yes—
326C2×#124C2311yescharacteristic
327C2×#124C2311yescharacteristic
328C2×#124C2311yescharacteristic
329C2×#124C2311yescharacteristic
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2311yescharacteristic
334C2×#124C2312yes—
335#525—48no—
336#525—48no—
337C2×#123C2312yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×#121C2314yes—
352C2×#121C2312yes—
353C2×#121C2311yescharacteristic
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#120C2314yes—
368C2×#120C2314yes—
369C2×#120C2314yes—
370C2×C4×Q8—44no—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2312yes—
383C2×C4×D4—44no—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2314yes—
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2311yescharacteristic
410C22×C4⋊C4C2312yes—
411C22×C22⋊C4C2312yes—
412C22×C22⋊C4C2312yes—
413C22×C22⋊C4C2312yes—
414C22×C22⋊C4C2312yes—
415C22×C22⋊C4C2312yes—
416C22×C42C2311yescharacteristic
417C22×C42C2311yescharacteristic
418C22×C42C2311yescharacteristic
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421C22×C42C2311yescharacteristic
422C22×C42C2312yes—
423C22×C42C2311yescharacteristic
424#401C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#397C2314yes—
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#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#391C2312yes—
505#391C2311yescharacteristic
506#391C2312yes—
507#391C2311yescharacteristic
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2314yes—
513#391C2312yes—
514#391C2311yescharacteristic
515#391C2314yes—
516#391C2312yes—
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#391C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2314yes—
532#390C2314yes—
533#390C2311yescharacteristic
534#390C2311yescharacteristic
535#390C2314yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2314yes—
540#390C2314yes—
541#390C2312yes—
542#390C2311yescharacteristic
543#390C2314yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2311yescharacteristic
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2314yes—
554#390C2314yes—
555#390C2311yescharacteristic
556#390C2312yes—
557#390C2314yes—
558#390C2311yescharacteristic
559#390C2312yes—
560#390C2312yes—
561#390C2311yescharacteristic
562#390C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2314yes—
585#389C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2314yes—
589#389C2312yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2314yes—
593#389C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
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#388C2312yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2312yes—
674#387C2314yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2312yes—
694#386C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2312yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2312yes—
712#385C2314yes—
713#385C2314yes—
714#385C2312yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2312yes—
724#385C2312yes—
725#385C2314yes—
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#384C2312yes—
729#384C2312yes—
730#384C2312yes—
731#383C2312yes—
732#383C2314yes—
733#382C2311yescharacteristic
734#382C2311yescharacteristic
735#382C2312yes—
736#382C2314yes—
737#382C2311yescharacteristic
738#382C2314yes—
739#382C2314yes—
740#382C2312yes—
741#382C2311yescharacteristic
742#382C2311yescharacteristic
743#382C2311yescharacteristic
744#382C2312yes—
745#382C2312yes—
746#381C2314yes—
747#381C2314yes—
748#381C2312yes—
749#380C2314yes—
750#380C2314yes—
751#380C2312yes—
752#380C2314yes—
753#380C2314yes—
754#380C2311yescharacteristic
755#380C2312yes—
756#380C2312yes—
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2314yes—
763#380C2314yes—
764#380C2312yes—
765#379C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807#376C2312yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2314yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C43C2311yescharacteristic
820C43C2311yescharacteristic
821C25C2412yes—
822C2×#41—28no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C22×Q8—42no—
832C22×Q8—42no—
833C22×Q8#4118yescomplemented
834C22×Q8C2412yes—
835C22×Q8C2411yescharacteristic
836C22×Q8C2411yescharacteristic
837C22×Q8C2411yescharacteristic
838C22×Q8C2412yes—
839C22×D4—24no—
840C22×D4—42no—
841C22×D4—42no—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2411yescharacteristic
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C23×C4—28no—
860C23×C4—44no—
861C23×C4—44no—
862C23×C4C2411yescharacteristic
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2412yes—
874C23×C4C2414yes—
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2414yes—
878C23×C4C2414yes—
879C23×C4C2414yes—
880C23×C4C2412yes—
881C4⋊Q8—24no—
882C4⋊Q8—44no—
883#127—24no—
884#127—44no—
885#127—44no—
886#127—44no—
887#126—44no—
888#126—48no—
889#125—42no—
890#125—44no—
891#125—44no—
892#125—48no—
893#124—24no—
894#124—24no—
895#124—24no—
896#124—24no—
897#124—28no—
898#124—28no—
899#124—28no—
900#124—216no—
901#124—44no—
902#124—42no—
903#124—44no—
904#123—48no—
905#123—48no—
906#123—48no—
907#123—48no—
908#123—44no—
909#123—48no—
910C22⋊Q8—28no—
911C22⋊Q8—216no—
912C22⋊Q8—24no—
913C22⋊Q8—28no—
914C22⋊Q8—44no—
915C22⋊Q8—44no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918#121—28no—
919#121—216no—
920#121—24no—
921#121—28no—
922#121—48no—
923#121—48no—
924#121—48no—
925#121—44no—
926#121—44no—
927#121—44no—
928#121—44no—
929#121—44no—
930#121—44no—
931#121—44no—
932#121—44no—
933#121—48no—
934#120—48no—
935#120—48no—
936#120—48no—
937C4×Q8—28no—
938C4×Q8—24no—
939C4×Q8—24no—
940C4×Q8—24no—
941C4×Q8—44no—
942C4×Q8—44no—
943C4×Q8—42no—
944C4×Q8—42no—
945C4×Q8—44no—
946C4×Q8—44no—
947C4×Q8—44no—
948C4×Q8—44no—
949C4×D4—28no—
950C4×D4—216no—
951C4×D4—24no—
952C4×D4—24no—
953C4×D4—24no—
954C4×D4—44no—
955C4×D4—42no—
956C4×D4—42no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—48no—
964C4×D4—48no—
965C4×D4—48no—
966C4×D4—48no—
967C4×D4—48no—
968#117—44no—
969#117—48no—
970#117—44no—
971#117—44no—
972C2×C4⋊C4—42no—
973C2×C4⋊C4—42no—
974C2×C4⋊C4—44no—
975C2×C4⋊C4—44no—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C22⋊C4—28no—
1030C2×C22⋊C4—28no—
1031C2×C22⋊C4—44no—
1032C2×C22⋊C4—44no—
1033C2×C22⋊C4—44no—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C42—24no—
1102C2×C42—24no—
1103C2×C42—24no—
1104C2×C42—44no—
1105C2×C42—42no—
1106C2×C42—42no—
1107C2×C42—42no—
1108C2×C42—42no—
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2414yes—
1122C2×C42C2412yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2414yes—
1133C2×C42C2414yes—
1134C2×C42C2414yes—
1135C2×C42C2414yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2414yes—
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210C24—24no—
1211C24—24no—
1212C24—24no—
1213C24—42no—
1214C24—42no—
1215C24—42no—
1216C24—42no—
1217C24C2512yes—
1218C24C2512yes—
1219C24C2514yes—
1220C24C2512yes—
1221C24C2511yescharacteristic
1222#41—816no—
1223#41—816no—
1224#41—816no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—24no—
1229C2×Q8—24no—
1230C2×Q8—22no—
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8—24no—
1234C2×Q8—22no—
1235C2×Q8—42no—
1236C2×Q8—42no—
1237C2×Q8—416no—
1238C2×Q8C2×#4114yes—
1239C2×Q8C2×#4114yes—
1240C2×Q8C2×#4118yes—
1241C2×D4—24no—
1242C2×D4—28no—
1243C2×D4—24no—
1244C2×D4—28no—
1245C2×D4—28no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—28no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—22no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—22no—
1262C2×D4—24no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—416no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—42no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—42no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—22no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—22no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—28no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—28no—
1321C22×C4—42no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—42no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—42no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—816no—
1348C22×C4C2×#4114yes—
1349C22×C4C2×#4118yes—
1350C22×C4H(5,𝔽2)14yes—
1351C22×C4C2512yes—
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2514yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2512yes—
1370C22×C4C2514yes—
1371C22×C4C2512yes—
1372C22×C4C2514yes—
1373C22×C4C2512yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2512yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C4⋊C4—24no—
1382C4⋊C4—28no—
1383C4⋊C4—28no—
1384C4⋊C4—24no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—24no—
1388C4⋊C4—22no—
1389C4⋊C4—24no—
1390C4⋊C4—22no—
1391C4⋊C4—24no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—24no—
1395C4⋊C4—28no—
1396C4⋊C4—24no—
1397C4⋊C4—22no—
1398C4⋊C4—24no—
1399C4⋊C4—22no—
1400C4⋊C4—24no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—24no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—42no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—42no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—44no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—44no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—28no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—28no—
1448C22⋊C4—28no—
1449C22⋊C4—28no—
1450C22⋊C4—28no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—28no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C42—22no—
1502C42—22no—
1503C42—22no—
1504C42—22no—
1505C42—28no—
1506C42—24no—
1507C42—22no—
1508C42—22no—
1509C42—22no—
1510C42—22no—
1511C42—22no—
1512C42—22no—
1513C42—22no—
1514C42—24no—
1515C42—24no—
1516C42—24no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—22no—
1522C42—22no—
1523C42—24no—
1524C42—41no—
1525C42—41no—
1526C42—41no—
1527C42—41no—
1528C42—41no—
1529C42—41no—
1530C42—41no—
1531C42—41no—
1532C42—41no—
1533C42—41no—
1534C42—42no—
1535C42—42no—
1536C42—44no—
1537C42—44no—
1538C42—44no—
1539C42—44no—
1540C42—44no—
1541C42H(5,𝔽2)14yes—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—22no—
1547C23—22no—
1548C23—22no—
1549C23—24no—
1550C23—24no—
1551C23—22no—
1552C23—22no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—24no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—24no—
1565C23—22no—
1566C23—24no—
1567C23—22no—
1568C23—22no—
1569C23—24no—
1570C23—22no—
1571C23—24no—
1572C23—22no—
1573C23—22no—
1574C23—48no—
1575C23—48no—
1576C23—48no—
1577C23—84no—
1578C23—84no—
1579C23—84no—
1580C23—84no—
1581C23C22×#4112yes—
1582C23C2×H(5,𝔽2)12yes—
1583C23#58512yes—
1584C23C2611yescharacteristic
1585Q8—28no—
1586Q8—28no—
1587Q8—48no—
1588Q8—48no—
1589Q8—44no—
1590D4—48no—
1591D4—48no—
1592D4—416no—
1593D4—44no—
1594D4—44no—
1595D4—48no—
1596D4—48no—
1597D4—44no—
1598D4—84no—
1599D4—88no—
1600D4—88no—
1601D4—88no—
1602D4—88no—
1603D4—88no—
1604D4—164no—
1605D4—164no—
1606D4—164no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—28no—
1620C2×C4—28no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—24no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—24no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—24no—
1644C2×C4—24no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—24no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—24no—
1676C2×C4—24no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—24no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—48no—
1688C2×C4—44no—
1689C2×C4—44no—
1690C2×C4—44no—
1691C2×C4—44no—
1692C2×C4—44no—
1693C2×C4—48no—
1694C2×C4—48no—
1695C2×C4—48no—
1696C2×C4—88no—
1697C2×C4—84no—
1698C2×C4—84no—
1699C2×C4—88no—
1700C2×C4—84no—
1701C2×C4—84no—
1702C2×C4—88no—
1703C2×C4—88no—
1704C2×C4C22×#4112yes—
1705C2×C4C22×#4114yes—
1706C2×C4C22×#4114yes—
1707C2×C4C22×#4112yes—
1708C2×C4C2×H(5,𝔽2)12yes—
1709C2×C4C2×H(5,𝔽2)12yes—
1710C2×C4C2×H(5,𝔽2)12yes—
1711C2×C4C2×H(5,𝔽2)12yes—
1712C2×C4C2×H(5,𝔽2)12yes—
1713C2×C4#58512yes—
1714C2×C4#58512yes—
1715C2×C4#58512yes—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—44no—
1726C22—44no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—42no—
1731C22—44no—
1732C22—42no—
1733C22—42no—
1734C22—44no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—44no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—44no—
1744C22—42no—
1745C22—42no—
1746C22—44no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—816no—
1751C22#351714yes—
1752C22C23×#4111yescharacteristic
1753C22C22×H(5,𝔽2)11yescharacteristic
1754C22C22×H(5,𝔽2)11yescharacteristic
1755C22C2×#58511yescharacteristic
1756C22C2×#58511yescharacteristic
1757C22C2×#58511yescharacteristic
1758C22C2×#58511yescharacteristic
1759C4—22no—
1760C4—22no—
1761C4—22no—
1762C4—24no—
1763C4—24no—
1764C4—22no—
1765C4—42no—
1766C4—42no—
1767C4—42no—
1768C4—44no—
1769C4—41no—
1770C4—44no—
1771C4—42no—
1772C4—42no—
1773C4—41no—
1774C4—41no—
1775C4—42no—
1776C4—44no—
1777C4—42no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—42no—
1783C4—41no—
1784C4—42no—
1785C4—42no—
1786C4—42no—
1787C4#350514yes—
1788C4#355814yes—
1789C2—24no—
1790C2—82no—
1791C2—84no—
1792C2—82no—
1793C2—82no—
1794C2C2×#355811yescharacteristic
1795C2#6274811yescharacteristic
1796C2C2×#350511yescharacteristic
1797C2C2×#351711yescharacteristic
1798C2#6279311yescharacteristic
1799C2#6282711yescharacteristic
1800C2#6283011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59700C2semidirect
2. #59646C2semidirect
3. #59483C2semidirect
4. #59451C2semidirect
5. #59419C2semidirect
6. #59418C2semidirect
7. #46084C2semidirect
8. #46083C2semidirect
9. #45922C2semidirect
10. #40289C2semidirect
11. #40129C2semidirect
12. #40081C2semidirect
13. #39287C2semidirect
14. #39278C2semidirect
15. #39194C2semidirect
16. #39174C2semidirect
17. #39145C2semidirect
18. #39135C2semidirect
19. #39069C2semidirect
20. #38978C2semidirect
21. #38956C2semidirect
22. #37493C2semidirect
23. #36987C2semidirect
24. #36638C2semidirect
25. #36631C2semidirect
26. #36577C2semidirect
27. #36576C2semidirect
28. #36144C2semidirect
29. #36143C2semidirect
30. #36101C2semidirect
31. #36100C2semidirect
32. #35032C2semidirect
33. #35023C2semidirect
34. #34472C2semidirect
35. C2×C4×#124C2semidirect
36. C2×#557C22semidirect
38. C2×#550C22semidirect
47. #2866C22semidirect
48. #2865C22semidirect
49. #2864C22semidirect
50. #2863C22semidirect
51. #2861C22semidirect
52. #2861C22semidirect
53. #2860C22semidirect
54. #2860C22semidirect
55. #2860C22semidirect
56. #2859C22semidirect
57. #2858C22semidirect
75. #2803C22semidirect
76. #2803C22semidirect
77. #2801C22semidirect
78. #2800C22semidirect
79. #2800C22semidirect
80. #2800C22semidirect
81. #2783C22semidirect
82. #2782C22semidirect
83. #2781C22semidirect
84. #2777C22semidirect
85. #2773C22semidirect
86. #2772C22semidirect
87. #2765C22semidirect
88. #2761C22semidirect
89. #2756C22semidirect
90. #2753C22semidirect
91. #2753C22semidirect
92. #2753C22semidirect
93. #2753C22semidirect
94. #2741C22semidirect
95. #2741C22semidirect
96. #2740C22semidirect
101. #2711C22semidirect
102. #2711C22semidirect
103. #2707C22semidirect
104. #2703C22semidirect
105. #2703C22semidirect
106. #2699C22semidirect
117. #2602C22semidirect
118. #2602C22semidirect
119. #2602C22semidirect
120. #2602C22semidirect
121. #2602C22semidirect
122. #2597C22semidirect
123. #2596C22semidirect
124. #2595C22semidirect
125. #2582C22semidirect
126. #2582C22semidirect
127. #2578C22semidirect
128. #2576C22semidirect
129. #2570C22semidirect
130. #2568C22semidirect
131. #2568C22semidirect
132. #2566C22semidirect
133. #2559C22semidirect
134. #2558C22semidirect
135. #2554C22semidirect
136. #2554C22semidirect
137. #2553C22semidirect
140. #2548C22semidirect
141. #2548C22semidirect
142. #2543C22semidirect
147. #2538C22semidirect
148. #2538C22semidirect
151. #2518C22semidirect
153. #2513C22semidirect
154. #2510C22semidirect
155. #2509C22semidirect
156. #2504C22semidirect
157. #2500C22semidirect
158. #2500C22semidirect
159. #2499C22semidirect
160. #2499C22semidirect
161. #2495C22semidirect
162. #2494C22semidirect
163. #2494C22semidirect
165. #2490C22semidirect
166. #2490C22semidirect
167. #2489C22semidirect
168. #2489C22semidirect
169. #2471C22semidirect
170. #2470C22semidirect
171. #2467C22semidirect
172. #2466C22semidirect
175. #2453C22semidirect
176. #2453C22semidirect
183. #2442C22semidirect
184. #2441C22semidirect
185. #2441C22semidirect
187. #2432C22semidirect
188. #2432C22semidirect
189. #2432C22semidirect
192. #2431C22semidirect
193. #2431C22semidirect
194. #2431C22semidirect
195. #2429C22semidirect
197. #2428C22semidirect
198. #2427C22semidirect
199. #2427C22semidirect
202. #2426C22semidirect
203. #2426C22semidirect
204. #2426C22semidirect
205. #2426C22semidirect
209. #2423C22semidirect
211. #2422C22semidirect
212. #2421C22semidirect
213. #2420C22semidirect
214. #2420C22semidirect
225. #2379C22semidirect
226. #2378C22semidirect
227. #2367C22semidirect
230. #2363C22semidirect
231. #2363C22semidirect
232. #2362C22semidirect
235. #2360C22semidirect
236. #2359C22semidirect
237. #2355C22semidirect
240. #2351C22semidirect
241. Q8×C4⋊C4C22semidirect
242. Q8×C4⋊C4C22semidirect
245. #2341C22semidirect
246. #2341C22semidirect
248. #2339C22semidirect
249. #2339C22semidirect
250. #2337C22semidirect
251. #2329C22semidirect
252. #2326C22semidirect
255. #2323C22semidirect
257. #2320C22semidirect
259. #2311C22semidirect
260. C4×C4⋊Q8C22semidirect
261. C4×#127C22semidirect
262. C4×#125C22semidirect
263. C4×#126C22semidirect
276. C4×#124C22semidirect
277. C4×#124C22semidirect
285. #2298C22semidirect
286. #2295C22semidirect
288. #2293C22semidirect
289. #2293C22semidirect
290. #2293C22semidirect
833. C22×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#597002
#596462
#594832
#594512
#594192
#594182
#460842
#460832
#459222
#402892
#401292
#400812
#392872
#392782
#391942
#391742
#391452
#391352
#390692
#389782
#389562
#374932
#369872
#366382
#366312
#365772
#365762
#361442
#361432
#361012
#361002
#350322
#350232
#344722
C2×C4×#1242