Finite Group Databasebeta

← #7986699

Subgroups — #7986699

Order 512.

4958 conjugacy classes of subgroups.

The subgroup lattice has 1757 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59894C212yesmaximal, complemented
2#59451C211yesmaximal, characteristic, complemented
3#59224C212yesmaximal, complemented
4#59079C211yesmaximal, characteristic, complemented
5#59035C211yesmaximal, characteristic, complemented
6#49353C214yesmaximal, complemented
7#48959C214yesmaximal, complemented
8#46068C212yesmaximal, complemented
9#45642C212yesmaximal, complemented
10#45010C212yesmaximal, complemented
11#44961C212yesmaximal, complemented
12#43702C214yesmaximal, complemented
13#42725C212yesmaximal, complemented
14#42685C212yesmaximal, complemented
15#41816C214yesmaximal, complemented
16#40193C212yesmaximal, complemented
17#39906C212yesmaximal, complemented
18#39598C211yesmaximal, characteristic, complemented
19#39034C212yesmaximal, complemented
20#39024C212yesmaximal, complemented
21#38910C211yesmaximal, characteristic, complemented
22#38205C212yesmaximal, complemented
23#36460C211yesmaximal, characteristic, complemented
24#36300C211yesmaximal, characteristic, complemented
25#36289C211yesmaximal, characteristic, complemented
26#36176C211yesmaximal, characteristic, complemented
27#36174C212yesmaximal, complemented
28#36150C211yesmaximal, characteristic, complemented
29#35201C211yesmaximal, characteristic, complemented
30#35180C211yesmaximal, characteristic, complemented
31#35025C212yesmaximal, complemented
32#34945C211yesmaximal, characteristic, complemented
33#34919C211yesmaximal, characteristic, complemented
34#34495C212yesmaximal, complemented
35C4×#553C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#553C2211yescharacteristic
38C2×#546C2212yes—
39C2×D42C2211yescharacteristic
40C2×#533C2211yescharacteristic, complemented
41C2×#533C2211yescharacteristic, complemented
42C2×#532C2211yescharacteristic
43C2×#529C2211yescharacteristic
44#2861C2212yes—
45#2860C2212yescomplemented
46#2860C2212yescomplemented
47#2859C2212yescomplemented
48#2858C2211yescharacteristic
49#2857C2211yescharacteristic, complemented
50#2856C2211yescharacteristic
51#2854C2212yes—
52#2850C2212yes—
53#2850C2212yescomplemented
54#2850C2212yescomplemented
55#2838C2214yescomplemented
56#2825C2214yescomplemented
57#2803C2214yescomplemented
58#2801C2214yescomplemented
59#2787C2214yescomplemented
60#2786C2214yescomplemented
61#2781C2214yescomplemented
62#2775C2214yescomplemented
63#2773C2214yescomplemented
64#2773C2214yescomplemented
65#2761C2214yescomplemented
66#2756C2214yescomplemented
67#2756C2214yescomplemented
68#2741C2214yescomplemented
69#2740C2214yescomplemented
70#2738C2214yescomplemented
71#2737C2214yescomplemented
72#2735C2214yescomplemented
73#2735C2214yescomplemented
74#2735C2214yescomplemented
75#2728C2214yescomplemented
76#2723C2214yescomplemented
77#2722C2214yescomplemented
78#2706C2214yescomplemented
79#2705C2214yescomplemented
80#2704C2214yescomplemented
81#2702C2214yescomplemented
82#2695C2214yescomplemented
83#2688C2214yescomplemented
84#2685C2214yes—
85#2685C2214yescomplemented
86#2683C2214yescomplemented
87#2678C2214yes—
88#2678C2214yescomplemented
89#2668C2214yes—
90#2663C2214yescomplemented
91#2651C2214yescomplemented
92#2649C2214yescomplemented
93#2648C2214yescomplemented
94#2648C2214yescomplemented
95#2648C2214yescomplemented
96#2639C2214yescomplemented
97#2629C2212yescomplemented
98#2624C2212yes—
99#2610C2214yescomplemented
100#2604C2214yescomplemented
101#2596C2214yescomplemented
102#2593C2214yescomplemented
103#2592C2212yescomplemented
104#2592C2212yescomplemented
105#2584C2212yescomplemented
106#2573C2214yescomplemented
107#2571C2211yescharacteristic, complemented
108#2570C2212yescomplemented
109#2568C2211yescharacteristic, complemented
110#2568C2211yescharacteristic, complemented
111#2567C2211yescharacteristic, complemented
112#2563C2211yescharacteristic
113#2563C2212yescomplemented
114#2562C2214yescomplemented
115#2561C2214yescomplemented
116#2560C2212yescomplemented
117#2559C2214yescomplemented
118#2558C2212yescomplemented
119#2554C2214yescomplemented
120#2550C2211yescharacteristic, complemented
121#2548C2211yescharacteristic
122#2548C2211yescharacteristic
123#2547C2211yescharacteristic
124#2547C2212yescomplemented
125#2545C2211yescharacteristic
126#2542C2211yescharacteristic
127#2540C2212yes—
128#2540C2211yescharacteristic
129#2540C2212yescomplemented
130#2538C2212yes—
131#2538C2211yescharacteristic
132#2538C2212yescomplemented
133#2537C2212yes—
134#2536C2211yescharacteristic, complemented
135#2532C2214yescomplemented
136#2531C2214yescomplemented
137#2531C2214yescomplemented
138#2531C2214yescomplemented
139#2526C2214yescomplemented
140#2526C2214yescomplemented
141#2526C2214yescomplemented
142#2522C2214yescomplemented
143#2521C2214yescomplemented
144#2519C2212yescomplemented
145#2518C2214yescomplemented
146#2518C2214yescomplemented
147#2518C2214yescomplemented
148#2514C2212yescomplemented
149#2513C2212yes—
150#2513C2212yes—
151#2513C2214yescomplemented
152#2513C2212yescomplemented
153#2512C2212yescomplemented
154#2512C2212yescomplemented
155#2508C2212yescomplemented
156#2504C2212yes—
157#2500C2212yes—
158#2500C2212yescomplemented
159#2499C2212yescomplemented
160#2499C2212yescomplemented
161#2495C2214yescomplemented
162#2495C2212yescomplemented
163#2494C2212yescomplemented
164#2491C2211yescharacteristic
165#2490C2212yes—
166#2490C2212yes—
167#2490C2212yes—
168#2490C2212yescomplemented
169#2489C2212yescomplemented
170#2489C2211yescharacteristic, complemented
171#2489C2212yescomplemented
172#2489C2212yescomplemented
173#2488C2214yescomplemented
174#2486C2212yescomplemented
175#2480C2214yescomplemented
176#2480C2214yescomplemented
177#2474C2214yescomplemented
178#2472C2214yes—
179#2472C2214yes—
180#2472C2214yescomplemented
181#2461C2212yescomplemented
182#2454C2212yescomplemented
183#2454C2212yescomplemented
184#2453C2212yescomplemented
185#2448C2212yes—
186#2448C2212yescomplemented
187#2448C2212yescomplemented
188#2447C2212yes—
189#2442C2212yescomplemented
190#2440C2212yescomplemented
191#2435C2212yes—
192#2435C2212yes—
193#2435C2212yes—
194#2429C2211yescharacteristic, complemented
195#2429C2212yescomplemented
196#2427C2212yes—
197#2427C2212yes—
198#2427C2212yescomplemented
199#2426C2211yescharacteristic
200#2426C2212yescomplemented
201#2426C2212yescomplemented
202#2426C2212yescomplemented
203#2423C2212yescomplemented
204#2422C2212yes—
205#2421C2212yescomplemented
206#2421C2214yescomplemented
207#2420C2214yescomplemented
208#2420C2212yescomplemented
209#2418C2214yes—
210#2418C2214yescomplemented
211#2417C2212yescomplemented
212#2415C2212yescomplemented
213#2415C2212yescomplemented
214#2415C2212yescomplemented
215#2414C2212yes—
216#2414C2212yescomplemented
217#2412C2214yescomplemented
218#2408C2212yes—
219#2408C2212yes—
220#2408C2212yes—
221#2407C2212yes—
222#2407C2212yescomplemented
223#2401C2214yescomplemented
224#2396C2212yescomplemented
225#2392C2212yescomplemented
226#2376C2214yescomplemented
227#2375C2214yescomplemented
228#2374C2212yescomplemented
229#2373C2212yescomplemented
230#2370C2211yescharacteristic, complemented
231#2369C2211yescharacteristic, complemented
232#2367C2212yes—
233#2367C2212yescomplemented
234#2367C2212yescomplemented
235#2366C2211yescharacteristic
236#2364C2212yescomplemented
237#2363C2211yescharacteristic
238#2363C2212yescomplemented
239#2363C2214yescomplemented
240#2363C2212yescomplemented
241#2362C2212yescomplemented
242#2361C2211yescharacteristic
243#2357C2211yescharacteristic
244#2357C2212yescomplemented
245#2355C2212yescomplemented
246#2354C2211yescharacteristic
247#2354C2212yescomplemented
248#2353C2212yescomplemented
249#2352C2212yescomplemented
250#2352C2212yescomplemented
251#2352C2211yescharacteristic, complemented
252Q8×C4⋊C4C2211yescharacteristic, complemented
253#2347C2211yescharacteristic, complemented
254#2346C2214yescomplemented
255#2346C2212yescomplemented
256#2345C2211yescharacteristic, complemented
257#2342C2214yescomplemented
258#2341C2212yescomplemented
259D4×C22⋊C4C2212yes—
260D4×C22⋊C4C2212yes—
261D4×C22⋊C4C2212yes—
262#2335C2214yescomplemented
263#2333C2214yescomplemented
264#2324C2212yes—
265#2323C2212yescomplemented
266#2323C2212yescomplemented
267#2321C2214yescomplemented
268#2312C2214yescomplemented
269#2312C2214yescomplemented
270#2311C2212yescomplemented
271#2311C2212yescomplemented
272#2309C2212yes—
273C4×C4⋊Q8C2211yescharacteristic, complemented
274C4×#125C2211yescharacteristic, complemented
275C4×#126C2212yescomplemented
276C4×#124C2211yescharacteristic
277C4×#124C2212yes—
278C4×#124C2212yescomplemented
279C4×#124C2212yescomplemented
280C4×C22⋊Q8C2212yescomplemented
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×#123C2212yescomplemented
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2212yescomplemented
287#2295C2212yescomplemented
288#2293C2212yescomplemented
289#2293C2212yescomplemented
290C2×#390C2212yes—
291#2283C2212yescomplemented
292#2283C2212yescomplemented
293C42×Q8C2211yescharacteristic, complemented
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic, complemented
296C42×D4C2212yescomplemented
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C23×D4C2312yes—
301C23×D4C2312yes—
302#554—44no—
303#553—28no—
304#546—216no—
305D42—44no—
306#533—44no—
307#533—44no—
308#532—44no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×#127C2311yescharacteristic
314#529—44no—
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2311yescharacteristic
330C2×#124C2312yes—
331C2×#124C2311yescharacteristic
332C2×#124C2312yes—
333C2×#123C2314yes—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×#121C2314yes—
352C2×#121C2311yescharacteristic
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2311yescharacteristic
364C2×#120C2314yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2311yescharacteristic
394C2×#117C2311yescharacteristic
395C2×#117C2312yes—
396C2×#117C2312yes—
397C2×#117C2312yes—
398C2×#117C2314yes—
399C2×#117C2311yescharacteristic
400C2×#117C2312yes—
401C22×C4⋊C4C2311yescharacteristic
402C22×C4⋊C4C2311yescharacteristic
403C22×C4⋊C4C2312yes—
404C22×C22⋊C4C2314yes—
405C22×C22⋊C4C2314yes—
406C22×C22⋊C4C2314yes—
407C22×C42C2311yescharacteristic
408C22×C42C2311yescharacteristic
409C22×C42C2312yes—
410C22×C42C2312yes—
411#401C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2312yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2312yes—
426#399C2314yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2312yes—
435#398C2314yes—
436#397C2312yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
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#397C2314yes—
458#397C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2312yes—
464#396C2312yes—
465#396C2314yes—
466#396C2312yes—
467#396C2312yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#395C2314yes—
472#395C2312yes—
473#395C2314yes—
474#394C2312yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2312yes—
486#394C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#393C2312yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#392C2312yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2311yescharacteristic
515#391C2312yes—
516#391C2314yes—
517#391C2312yes—
518#391C2311yescharacteristic
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2311yescharacteristic
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2312yes—
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2314yes—
534#390C2314yes—
535#390C2314yes—
536#390C2314yes—
537#390C2311yescharacteristic
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2311yescharacteristic
550#390C2312yes—
551#390C2314yes—
552#390C2314yes—
553#390C2314yes—
554#390C2311yescharacteristic
555#390C2312yes—
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2314yes—
570#389C2312yes—
571#389C2314yes—
572#389C2312yes—
573#389C2314yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2314yes—
578#389C2314yes—
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2314yes—
584#389C2311yescharacteristic
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
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#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2314yes—
631#388C2312yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2312yes—
667#387C2314yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2312yes—
685#386C2314yes—
686#386C2312yes—
687#386C2314yes—
688#386C2312yes—
689#386C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#384C2311yescharacteristic
699#384C2312yes—
700#384C2312yes—
701#384C2312yes—
702#383C2312yes—
703#383C2314yes—
704#383C2314yes—
705#382C2311yescharacteristic
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2311yescharacteristic
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2314yes—
714#382C2314yes—
715#382C2314yes—
716#381C2312yes—
717#381C2314yes—
718#381C2314yes—
719#381C2314yes—
720#380C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2314yes—
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2314yes—
739#380C2312yes—
740#380C2312yes—
741#380C2311yescharacteristic
742#379C2314yes—
743#379C2314yes—
744#379C2314yes—
745#379C2314yes—
746#379C2314yes—
747#379C2314yes—
748#379C2314yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811#376C2314yes—
812#376C2314yes—
813#376C2312yes—
814C2×#95C2312yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C25C2414yes—
819C2×#41—28no—
820C2×#41—44no—
821C2×#41—44no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×D4—28no—
828C22×D4—44no—
829C22×D4—44no—
830C22×D4—44no—
831C22×D4—44no—
832C22×D4—44no—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2412yes—
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2414yes—
861C23×C4C2412yes—
862C4⋊Q8—24no—
863C4⋊Q8—24no—
864C4⋊Q8—42no—
865C4⋊Q8—42no—
866#127—24no—
867#126—28no—
868#126—44no—
869#126—84no—
870#126—84no—
871#125—24no—
872#125—42no—
873#125—44no—
874#125—44no—
875#125—44no—
876#124—28no—
877#124—44no—
878#124—44no—
879#124—44no—
880#124—44no—
881#124—42no—
882#124—42no—
883#124—44no—
884#124—82no—
885#123—216no—
886#123—28no—
887#123—44no—
888#123—84no—
889C22⋊Q8—28no—
890C22⋊Q8—48no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—42no—
894C22⋊Q8—44no—
895C22⋊Q8—42no—
896C22⋊Q8—42no—
897C22⋊Q8—44no—
898C22⋊Q8—44no—
899C22⋊Q8—42no—
900C22⋊Q8—44no—
901C22⋊Q8—84no—
902C22⋊Q8—82no—
903#121—216no—
904#121—24no—
905#121—28no—
906#121—44no—
907#121—42no—
908#121—44no—
909#121—42no—
910#121—44no—
911#121—44no—
912#121—44no—
913#121—44no—
914#121—82no—
915#121#4118yes—
916#120—216no—
917#120—48no—
918#120—84no—
919C4×Q8—24no—
920C4×Q8—24no—
921C4×Q8—44no—
922C4×Q8—42no—
923C4×Q8—44no—
924C4×Q8—44no—
925C4×Q8—42no—
926C4×Q8—44no—
927C4×Q8—44no—
928C4×D4—28no—
929C4×D4—24no—
930C4×D4—28no—
931C4×D4—24no—
932C4×D4—28no—
933C4×D4—24no—
934C4×D4—24no—
935C4×D4—42no—
936C4×D4—44no—
937C4×D4—42no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—42no—
944C4×D4—44no—
945C4×D4—44no—
946#117—24no—
947#117—44no—
948#117—44no—
949#117—48no—
950#117—44no—
951#117—42no—
952#117—44no—
953C2×C4⋊C4—24no—
954C2×C4⋊C4—42no—
955C2×C4⋊C4—44no—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C22⋊C4—216no—
1017C2×C22⋊C4—48no—
1018C2×C22⋊C4—84no—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C42—24no—
1090C2×C42—24no—
1091C2×C42—44no—
1092C2×C42—44no—
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2414yes—
1113C2×C42C2412yes—
1114C2×C42C2414yes—
1115C2×C42C2414yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2414yes—
1120C2×C42C2414yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2414yes—
1147#95C2412yes—
1148#95C2411yescharacteristic
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2411yescharacteristic
1153#95C2412yes—
1154#95C2411yescharacteristic
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191C24—28no—
1192C24—44no—
1193C24—44no—
1194C24—44no—
1195C24—44no—
1196C24—44no—
1197C24—44no—
1198C24C2512yes—
1199C24C2514yes—
1200C24C2511yescharacteristic
1201C24C2512yes—
1202C24C2511yescharacteristic
1203#41—816no—
1204C2×Q8—24no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—24no—
1208C2×Q8—24no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—24no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—42no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—28no—
1222C2×D4—24no—
1223C2×D4—28no—
1224C2×D4—24no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—44no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—816no—
1260C2×D4—816no—
1261C2×D4C2×#4114yes—
1262C2×D4C2×#4118yes—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—22no—
1275C22×C4—24no—
1276C22×C4—22no—
1277C22×C4—24no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—24no—
1282C22×C4—28no—
1283C22×C4—28no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—24no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—42no—
1296C22×C4—44no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—42no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—42no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4C2×#4114yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2512yes—
1315C22×C4C2514yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2514yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2512yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2514yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—28no—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—41no—
1374C4⋊C4—41no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4C2×#4114yes—
1398C22⋊C4—28no—
1399C22⋊C4—22no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—28no—
1404C22⋊C4—24no—
1405C22⋊C4—28no—
1406C22⋊C4—24no—
1407C22⋊C4—28no—
1408C22⋊C4—22no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—28no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4C2×#4118yes—
1468C42—24no—
1469C42—24no—
1470C42—22no—
1471C42—22no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—22no—
1476C42—22no—
1477C42—24no—
1478C42—24no—
1479C42—22no—
1480C42—24no—
1481C42—24no—
1482C42—24no—
1483C42—24no—
1484C42—22no—
1485C42—22no—
1486C42—22no—
1487C42—42no—
1488C42—42no—
1489C42—42no—
1490C42—42no—
1491C42—44no—
1492C42—42no—
1493C42—44no—
1494C42—44no—
1495C42—42no—
1496C42—44no—
1497C42—42no—
1498C42—44no—
1499C42—42no—
1500C42—41no—
1501C42—42no—
1502C42—42no—
1503C42H(5,𝔽2)14yes—
1504C23—22no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—22no—
1516C23—21no—
1517C23—22no—
1518C23—24no—
1519C23—22no—
1520C23—21no—
1521C23—24no—
1522C23—24no—
1523C23—22no—
1524C23—21no—
1525C23—21no—
1526C23—22no—
1527C23—24no—
1528C23—21no—
1529C23—24no—
1530C23—22no—
1531C23—21no—
1532C23—24no—
1533C23—22no—
1534C23—24no—
1535C23—22no—
1536C23—21no—
1537C23—88no—
1538C23—88no—
1539C23—88no—
1540C23—88no—
1541C23—88no—
1542C23—164no—
1543C23—164no—
1544C23C22×#4114yes—
1545C23C22×#4112yes—
1546C23C2611yescharacteristic
1547Q8—48no—
1548Q8—44no—
1549Q8—44no—
1550Q8—84no—
1551Q8—84no—
1552D4—28no—
1553D4—48no—
1554D4—44no—
1555D4—48no—
1556D4—48no—
1557D4—44no—
1558D4—84no—
1559D4—84no—
1560D4—84no—
1561D4—88no—
1562D4—88no—
1563D4—84no—
1564D4—88no—
1565D4—164no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—28no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—24no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—24no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—22no—
1644C2×C4—24no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—44no—
1648C2×C4—48no—
1649C2×C4—44no—
1650C2×C4—44no—
1651C2×C4—48no—
1652C2×C4—84no—
1653C2×C4—88no—
1654C2×C4—82no—
1655C2×C4—82no—
1656C2×C4—88no—
1657C2×C4—84no—
1658C2×C4—84no—
1659C2×C4—84no—
1660C2×C4—164no—
1661C2×C4C22×#4114yes—
1662C2×C4C22×#4112yes—
1663C2×C4C22×#4112yes—
1664C2×C4C2×H(5,𝔽2)12yes—
1665C2×C4C2×H(5,𝔽2)12yes—
1666C2×C4C2×H(5,𝔽2)12yes—
1667C2×C4#58512yes—
1668C2×C4#58512yes—
1669C2×C4#58512yes—
1670C2×C4#58512yes—
1671C22—22no—
1672C22—24no—
1673C22—22no—
1674C22—24no—
1675C22—22no—
1676C22—24no—
1677C22—41no—
1678C22—42no—
1679C22—41no—
1680C22—42no—
1681C22—41no—
1682C22—42no—
1683C22—41no—
1684C22—42no—
1685C22—41no—
1686C22—42no—
1687C22—44no—
1688C22—41no—
1689C22—42no—
1690C22—44no—
1691C22—41no—
1692C22—44no—
1693C22—42no—
1694C22—41no—
1695C22—42no—
1696C22—44no—
1697C22—44no—
1698C22—41no—
1699C22—42no—
1700C22—41no—
1701C22—44no—
1702C22—42no—
1703C22—41no—
1704C22—44no—
1705C22—42no—
1706C22—1616no—
1707C22C23×#4111yescharacteristic
1708C22C22×H(5,𝔽2)11yescharacteristic
1709C22C2×#58511yescharacteristic
1710C22C2×#58511yescharacteristic
1711C22C2×#58511yescharacteristic
1712C22C2×#58511yescharacteristic
1713C22H(7,𝔽2)11yescharacteristic
1714C4—22no—
1715C4—22no—
1716C4—24no—
1717C4—22no—
1718C4—42no—
1719C4—41no—
1720C4—42no—
1721C4—42no—
1722C4—41no—
1723C4—41no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—42no—
1729C4—41no—
1730C4—42no—
1731C4—44no—
1732C4—42no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—42no—
1737C4—44no—
1738C4—42no—
1739C4—41no—
1740C4—42no—
1741C4—44no—
1742C4#351414yes—
1743C4#355114yes—
1744C2—42no—
1745C2—44no—
1746C2—81no—
1747C2—84no—
1748C2—82no—
1749C2C2×#355111yescharacteristic
1750C2C2×#351411yescharacteristic
1751C2#6278111yescharacteristic
1752C2#6295511yescharacteristic
1753C2#6296911yescharacteristic
1754C2#6299411yescharacteristic
1755C2#6302911yescharacteristic
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. #59894C2semidirect
2. #59451C2semidirect
3. #59224C2semidirect
4. #59079C2semidirect
5. #59035C2semidirect
6. #49353C2semidirect
7. #48959C2semidirect
8. #46068C2semidirect
9. #45642C2semidirect
10. #45010C2semidirect
11. #44961C2semidirect
12. #43702C2semidirect
13. #42725C2semidirect
14. #42685C2semidirect
15. #41816C2semidirect
16. #40193C2semidirect
17. #39906C2semidirect
18. #39598C2semidirect
19. #39034C2semidirect
20. #39024C2semidirect
21. #38910C2semidirect
22. #38205C2semidirect
23. #36460C2semidirect
24. #36300C2semidirect
25. #36289C2semidirect
26. #36176C2semidirect
27. #36174C2semidirect
28. #36150C2semidirect
29. #35201C2semidirect
30. #35180C2semidirect
31. #35025C2semidirect
32. #34945C2semidirect
33. #34919C2semidirect
34. #34495C2semidirect
35. C4×#553C2semidirect
40. C2×#533C22semidirect
41. C2×#533C22semidirect
45. #2860C22semidirect
46. #2860C22semidirect
47. #2859C22semidirect
49. #2857C22semidirect
53. #2850C22semidirect
54. #2850C22semidirect
55. #2838C22semidirect
56. #2825C22semidirect
57. #2803C22semidirect
58. #2801C22semidirect
59. #2787C22semidirect
60. #2786C22semidirect
61. #2781C22semidirect
62. #2775C22semidirect
63. #2773C22semidirect
64. #2773C22semidirect
65. #2761C22semidirect
66. #2756C22semidirect
67. #2756C22semidirect
68. #2741C22semidirect
69. #2740C22semidirect
70. #2738C22semidirect
71. #2737C22semidirect
72. #2735C22semidirect
73. #2735C22semidirect
74. #2735C22semidirect
75. #2728C22semidirect
76. #2723C22semidirect
77. #2722C22semidirect
78. #2706C22semidirect
79. #2705C22semidirect
80. #2704C22semidirect
81. #2702C22semidirect
82. #2695C22semidirect
83. #2688C22semidirect
85. #2685C22semidirect
86. #2683C22semidirect
88. #2678C22semidirect
90. #2663C22semidirect
91. #2651C22semidirect
92. #2649C22semidirect
93. #2648C22semidirect
94. #2648C22semidirect
95. #2648C22semidirect
96. #2639C22semidirect
97. #2629C22semidirect
99. #2610C22semidirect
100. #2604C22semidirect
101. #2596C22semidirect
102. #2593C22semidirect
103. #2592C22semidirect
104. #2592C22semidirect
105. #2584C22semidirect
106. #2573C22semidirect
107. #2571C22semidirect
108. #2570C22semidirect
109. #2568C22semidirect
110. #2568C22semidirect
111. #2567C22semidirect
113. #2563C22semidirect
114. #2562C22semidirect
115. #2561C22semidirect
116. #2560C22semidirect
117. #2559C22semidirect
118. #2558C22semidirect
119. #2554C22semidirect
120. #2550C22semidirect
124. #2547C22semidirect
129. #2540C22semidirect
132. #2538C22semidirect
134. #2536C22semidirect
135. #2532C22semidirect
136. #2531C22semidirect
137. #2531C22semidirect
138. #2531C22semidirect
139. #2526C22semidirect
140. #2526C22semidirect
141. #2526C22semidirect
142. #2522C22semidirect
143. #2521C22semidirect
144. #2519C22semidirect
145. #2518C22semidirect
146. #2518C22semidirect
147. #2518C22semidirect
148. #2514C22semidirect
151. #2513C22semidirect
152. #2513C22semidirect
153. #2512C22semidirect
154. #2512C22semidirect
155. #2508C22semidirect
158. #2500C22semidirect
159. #2499C22semidirect
160. #2499C22semidirect
161. #2495C22semidirect
162. #2495C22semidirect
163. #2494C22semidirect
168. #2490C22semidirect
169. #2489C22semidirect
170. #2489C22semidirect
171. #2489C22semidirect
172. #2489C22semidirect
173. #2488C22semidirect
174. #2486C22semidirect
175. #2480C22semidirect
176. #2480C22semidirect
177. #2474C22semidirect
180. #2472C22semidirect
181. #2461C22semidirect
182. #2454C22semidirect
183. #2454C22semidirect
184. #2453C22semidirect
186. #2448C22semidirect
187. #2448C22semidirect
189. #2442C22semidirect
190. #2440C22semidirect
194. #2429C22semidirect
195. #2429C22semidirect
198. #2427C22semidirect
200. #2426C22semidirect
201. #2426C22semidirect
202. #2426C22semidirect
203. #2423C22semidirect
205. #2421C22semidirect
206. #2421C22semidirect
207. #2420C22semidirect
208. #2420C22semidirect
210. #2418C22semidirect
211. #2417C22semidirect
212. #2415C22semidirect
213. #2415C22semidirect
214. #2415C22semidirect
216. #2414C22semidirect
217. #2412C22semidirect
222. #2407C22semidirect
223. #2401C22semidirect
224. #2396C22semidirect
225. #2392C22semidirect
226. #2376C22semidirect
227. #2375C22semidirect
228. #2374C22semidirect
229. #2373C22semidirect
230. #2370C22semidirect
231. #2369C22semidirect
233. #2367C22semidirect
234. #2367C22semidirect
236. #2364C22semidirect
238. #2363C22semidirect
239. #2363C22semidirect
240. #2363C22semidirect
241. #2362C22semidirect
244. #2357C22semidirect
245. #2355C22semidirect
247. #2354C22semidirect
248. #2353C22semidirect
249. #2352C22semidirect
250. #2352C22semidirect
251. #2352C22semidirect
252. Q8×C4⋊C4C22semidirect
253. #2347C22semidirect
254. #2346C22semidirect
255. #2346C22semidirect
256. #2345C22semidirect
257. #2342C22semidirect
258. #2341C22semidirect
262. #2335C22semidirect
263. #2333C22semidirect
265. #2323C22semidirect
266. #2323C22semidirect
267. #2321C22semidirect
268. #2312C22semidirect
269. #2312C22semidirect
270. #2311C22semidirect
271. #2311C22semidirect
273. C4×C4⋊Q8C22semidirect
274. C4×#125C22semidirect
275. C4×#126C22semidirect
278. C4×#124C22semidirect
279. C4×#124C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×#123C22semidirect
286. C4×#121C22semidirect
287. #2295C22semidirect
288. #2293C22semidirect
289. #2293C22semidirect
291. #2283C22semidirect
292. #2283C22semidirect
293. C42×Q8C22semidirect
295. C42×D4C22semidirect
296. C42×D4C22semidirect
297. C4×#117C22semidirect
298. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#598942
#594512
#592242
#590792
#590352
#493532
#489592
#460682
#456422
#450102
#449612
#437022
#427252
#426852
#418162
#401932
#399062
#395982
#390342
#390242
#389102
#382052
#364602
#363002
#362892
#361762
#361742
#361502
#352012
#351802
#350252
#349452
#349192
#344952
C4×#5532