Finite Group Databasebeta

← #7658045

Subgroups — #7658045

Order 512.

5215 conjugacy classes of subgroups.

The subgroup lattice has 1761 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42758C212yesmaximal, complemented
2#42752C212yesmaximal, complemented
3#42642C212yesmaximal, complemented
4#42619C212yesmaximal, complemented
5#41877C214yesmaximal, complemented
6#41869C214yesmaximal, complemented
7#41864C214yesmaximal, complemented
8#41859C214yesmaximal, complemented
9#39425C212yesmaximal, complemented
10#39419C212yesmaximal, complemented
11#39369C211yesmaximal, characteristic, complemented
12#39362C211yesmaximal, characteristic, complemented
13#38910C211yesmaximal, characteristic, complemented
14#38908C211yesmaximal, characteristic, complemented
15#38254C212yesmaximal, complemented
16#38249C212yesmaximal, complemented
17#37631C211yesmaximal, characteristic, complemented
18#37625C211yesmaximal, characteristic, complemented
19#37498C212yesmaximal, complemented
20#37492C212yesmaximal, complemented
21#36594C211yesmaximal, characteristic, complemented
22#36591C211yesmaximal, characteristic, complemented
23#36315C211yesmaximal, characteristic, complemented
24#36273C211yesmaximal, characteristic, complemented
25#36075C212yesmaximal, complemented
26#36073C212yesmaximal, complemented
27#36028C212yesmaximal, complemented
28#36022C212yesmaximal, complemented
29#35277C211yesmaximal, characteristic, complemented
30#35264C212yesmaximal, complemented
31#34621C211yesmaximal, characteristic, complemented
32#34619C212yesmaximal, complemented
33#34316C211yesmaximal, characteristic, complemented
34#34310C211yesmaximal, characteristic, complemented
35#34151C211yesmaximal, characteristic, complemented
36C2×#556C2212yescomplemented
37C2×#555C2212yescomplemented
38C2×#547C2211yescharacteristic
39C2×D42C2211yescharacteristic
40C2×#544C2212yescomplemented
41C2×#542C2212yescomplemented
42C2×#535C2212yes—
43C2×#529C2211yescharacteristic
44C2×#518C2212yes—
45#2868C2211yescharacteristic, complemented
46#2861C2212yes—
47#2861C2212yescomplemented
48#2858C2212yes—
49#2858C2211yescharacteristic
50#2858C2212yescomplemented
51#2857C2211yescharacteristic, complemented
52#2856C2211yescharacteristic
53#2838C2214yescomplemented
54#2830C2214yescomplemented
55#2829C2214yescomplemented
56#2829C2214yescomplemented
57#2826C2214yescomplemented
58#2825C2214yescomplemented
59#2797C2214yescomplemented
60#2796C2214yescomplemented
61#2786C2214yescomplemented
62#2748C2214yescomplemented
63#2735C2214yescomplemented
64#2735C2214yescomplemented
65#2730C2214yescomplemented
66#2730C2214yescomplemented
67#2729C2214yescomplemented
68#2720C2214yescomplemented
69#2717C2214yescomplemented
70#2707C2214yescomplemented
71#2703C2214yescomplemented
72#2702C2214yescomplemented
73#2695C2214yescomplemented
74#2693C2214yescomplemented
75#2685C2214yes—
76#2685C2214yescomplemented
77#2678C2214yes—
78#2678C2214yes—
79#2678C2214yes—
80#2677C2214yescomplemented
81#2672C2214yescomplemented
82#2670C2214yescomplemented
83#2662C2214yescomplemented
84#2654C2214yescomplemented
85#2653C2214yescomplemented
86#2651C2212yescomplemented
87#2651C2212yescomplemented
88#2651C2214yescomplemented
89#2650C2214yescomplemented
90#2650C2214yescomplemented
91#2649C2214yescomplemented
92#2649C2214yescomplemented
93#2648C2214yescomplemented
94#2648C2212yescomplemented
95#2648C2212yescomplemented
96#2647C2211yescharacteristic, complemented
97#2645C2212yescomplemented
98#2644C2211yescharacteristic
99#2644C2212yescomplemented
100#2644C2211yescharacteristic, complemented
101#2641C2211yescharacteristic
102#2641C2212yescomplemented
103#2640C2212yes—
104#2640C2212yescomplemented
105#2636C2214yescomplemented
106#2635C2214yescomplemented
107#2630C2214yescomplemented
108#2629C2211yescharacteristic, complemented
109#2628C2212yescomplemented
110#2628C2212yescomplemented
111#2626C2214yescomplemented
112#2625C2212yescomplemented
113#2625C2212yescomplemented
114#2624C2212yes—
115#2624C2211yescharacteristic
116#2624C2211yescharacteristic, complemented
117#2624C2212yescomplemented
118#2622C2214yescomplemented
119#2620C2212yes—
120#2620C2212yescomplemented
121#2620C2212yescomplemented
122#2619C2211yescharacteristic
123#2610C2214yescomplemented
124#2603C2214yescomplemented
125#2601C2214yescomplemented
126#2595C2214yescomplemented
127#2576C2214yescomplemented
128#2568C2211yescharacteristic, complemented
129#2559C2214yescomplemented
130#2559C2214yescomplemented
131#2555C2214yescomplemented
132#2555C2214yescomplemented
133#2552C2211yescharacteristic, complemented
134#2551C2212yescomplemented
135#2551C2211yescharacteristic, complemented
136#2548C2211yescharacteristic
137#2547C2211yescharacteristic
138#2547C2212yescomplemented
139#2545C2214yescomplemented
140#2545C2214yescomplemented
141#2542C2212yes—
142#2541C2211yescharacteristic
143#2540C2212yes—
144#2539C2214yescomplemented
145#2538C2211yescharacteristic
146#2538C2212yescomplemented
147#2538C2211yescharacteristic, complemented
148#2536C2214yescomplemented
149#2535C2212yes—
150#2531C2214yescomplemented
151#2531C2214yescomplemented
152#2529C2214yescomplemented
153#2521C2214yescomplemented
154#2519C2214yescomplemented
155#2516C2214yescomplemented
156#2516C2214yescomplemented
157#2513C2212yescomplemented
158#2512C2212yes—
159#2512C2212yescomplemented
160#2512C2212yescomplemented
161#2512C2214yescomplemented
162#2512C2212yescomplemented
163#2506C2212yescomplemented
164#2497C2212yescomplemented
165#2494C2212yescomplemented
166#2492C2212yescomplemented
167#2491C2212yescomplemented
168#2491C2212yescomplemented
169#2491C2214yescomplemented
170#2491C2212yescomplemented
171#2491C2214yescomplemented
172#2491C2212yescomplemented
173#2490C2212yes—
174#2490C2214yescomplemented
175#2490C2214yescomplemented
176#2489C2212yescomplemented
177#2485C2212yescomplemented
178#2482C2214yescomplemented
179#2480C2214yescomplemented
180#2480C2214yescomplemented
181#2472C2214yescomplemented
182#2472C2214yescomplemented
183#2472C2214yescomplemented
184#2472C2214yescomplemented
185#2472C2214yescomplemented
186#2472C2214yescomplemented
187#2461C2214yescomplemented
188#2461C2214yescomplemented
189#2454C2212yescomplemented
190#2452C2212yes—
191#2452C2212yescomplemented
192#2452C2212yescomplemented
193#2451C2212yescomplemented
194#2448C2212yes—
195#2448C2212yescomplemented
196#2448C2212yescomplemented
197#2447C2212yescomplemented
198#2445C2212yescomplemented
199#2442C2212yescomplemented
200#2441C2212yescomplemented
201#2440C2212yescomplemented
202#2435C2212yes—
203#2435C2212yes—
204#2431C2212yes—
205#2428C2212yescomplemented
206#2427C2212yes—
207#2427C2212yescomplemented
208#2426C2212yes—
209#2422C2212yescomplemented
210#2422C2212yescomplemented
211#2422C2212yescomplemented
212#2417C2212yescomplemented
213#2417C2212yescomplemented
214#2416C2212yes—
215#2416C2212yes—
216#2414C2212yes—
217#2414C2212yescomplemented
218#2408C2212yes—
219#2408C2212yes—
220#2408C2212yes—
221#2408C2212yes—
222#2407C2212yescomplemented
223#2401C2214yescomplemented
224#2398C2214yescomplemented
225#2396C2214yescomplemented
226#2395C2212yescomplemented
227#2395C2214yescomplemented
228#2395C2212yescomplemented
229#2392C2212yescomplemented
230#2392C2212yescomplemented
231#2374C2214yescomplemented
232#2374C2212yescomplemented
233#2374C2212yescomplemented
234#2373C2212yescomplemented
235#2373C2212yescomplemented
236#2370C2211yescharacteristic, complemented
237#2370C2211yescharacteristic, complemented
238#2367C2211yescharacteristic
239#2367C2211yescharacteristic
240#2367C2212yescomplemented
241#2366C2211yescharacteristic
242#2365C2211yescharacteristic, complemented
243#2363C2212yes—
244#2363C2212yes—
245#2363C2211yescharacteristic
246#2363C2211yescharacteristic
247#2363C2212yescomplemented
248#2362C2211yescharacteristic, complemented
249#2362C2212yescomplemented
250#2362C2211yescharacteristic, complemented
251#2361C2212yes—
252#2358C2214yes—
253#2357C2212yescomplemented
254#2354C2211yescharacteristic
255#2354C2211yescharacteristic
256#2354C2211yescharacteristic, complemented
257#2354C2212yescomplemented
258#2354C2212yescomplemented
259D4×C4⋊C4C2211yescharacteristic
260#2346C2212yescomplemented
261#2345C2212yescomplemented
262#2341C2212yescomplemented
263D4×C22⋊C4C2212yes—
264D4×C22⋊C4C2212yes—
265#2335C2214yescomplemented
266#2326C2212yescomplemented
267#2324C2212yes—
268#2324C2212yes—
269#2321C2214yes—
270#2311C2212yescomplemented
271#2309C2212yes—
272C4×C4⋊Q8C2212yescomplemented
273C4×C4⋊Q8C2211yescharacteristic, complemented
274C4×#127C2211yescharacteristic
275C4×#127C2211yescharacteristic
276C4×#125C2211yescharacteristic, complemented
277C4×#124C2212yescomplemented
278C4×C22⋊Q8C2212yescomplemented
279C4×#121C2212yes—
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic, complemented
282#2298C2212yescomplemented
283#2297C2212yescomplemented
284#2295C2212yescomplemented
285#2295C2211yescharacteristic, complemented
286#2293C2211yescharacteristic
287#2293C2211yescharacteristic
288#2293C2212yescomplemented
289#2293C2211yescharacteristic, complemented
290#2293C2212yescomplemented
291C2×#390C2212yes—
292#2290C2212yescomplemented
293#2274C2212yescomplemented
294C42×Q8C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic
296C4×#117C2212yescomplemented
297C4×#117C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C23×D4C2312yes—
301C23×D4C2312yes—
302#556—48no—
303#555—48no—
304#547—28no—
305D42—28no—
306#544—48no—
307#542—48no—
308#535—48no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2314yes—
315C2×C4⋊Q8C2312yes—
316C2×#127C2311yescharacteristic
317C2×#127C2311yescharacteristic
318C2×#127C2312yes—
319#529—28no—
320C2×#126C2312yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#125C2311yescharacteristic
325C2×#125C2311yescharacteristic
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#124C2312yes—
329C2×#124C2311yescharacteristic
330C2×#124C2312yes—
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#124C2314yes—
337C2×#124C2314yes—
338C2×#124C2314yes—
339C2×#123C2314yes—
340C2×#123C2312yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2314yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2311yescharacteristic
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2311yescharacteristic
360C2×#121C2311yescharacteristic
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#120C2314yes—
367C2×#120C2314yes—
368C2×#120C2314yes—
369C2×#120C2314yes—
370#518—48no—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2314yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×#117C2312yes—
396C2×#117C2312yes—
397C2×#117C2311yescharacteristic
398C2×#117C2312yes—
399C2×#117C2311yescharacteristic
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2314yes—
405C2×#117C2311yescharacteristic
406C2×#117C2311yescharacteristic
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2312yes—
409C22×C22⋊C4C2314yes—
410C22×C22⋊C4C2314yes—
411C22×C22⋊C4C2314yes—
412C22×C42C2311yescharacteristic
413C22×C42C2312yes—
414#401C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2312yes—
423#400C2312yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2312yes—
429#399C2314yes—
430#399C2312yes—
431#399C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2312yes—
438#398C2312yes—
439#398C2312yes—
440#398C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#397C2312yes—
466#397C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2312yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2312yes—
482#396C2312yes—
483#396C2312yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#394C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2312yes—
509#394C2312yes—
510#394C2314yes—
511#394C2314yes—
512#394C2312yes—
513#394C2314yes—
514#394C2312yes—
515#394C2312yes—
516#394C2312yes—
517#394C2312yes—
518#394C2312yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2312yes—
533#392C2312yes—
534#391C2312yes—
535#391C2314yes—
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2311yescharacteristic
542#391C2311yescharacteristic
543#391C2312yes—
544#391C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2311yescharacteristic
549#390C2311yescharacteristic
550#390C2312yes—
551#390C2312yes—
552#390C2311yescharacteristic
553#390C2312yes—
554#390C2314yes—
555#390C2312yes—
556#390C2312yes—
557#390C2314yes—
558#390C2311yescharacteristic
559#390C2312yes—
560#390C2314yes—
561#390C2312yes—
562#390C2314yes—
563#390C2312yes—
564#390C2314yes—
565#390C2311yescharacteristic
566#390C2312yes—
567#390C2312yes—
568#390C2311yescharacteristic
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2314yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2314yes—
578#390C2312yes—
579#390C2314yes—
580#390C2314yes—
581#390C2312yes—
582#390C2314yes—
583#390C2311yescharacteristic
584#390C2311yescharacteristic
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2311yescharacteristic
589#390C2312yes—
590#390C2311yescharacteristic
591#390C2314yes—
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2314yes—
599#389C2312yes—
600#389C2312yes—
601#389C2314yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#389C2312yes—
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2314yes—
673#387C2312yes—
674#387C2312yes—
675#387C2314yes—
676#387C2312yes—
677#387C2314yes—
678#387C2314yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2312yes—
703#386C2314yes—
704#386C2314yes—
705#385C2312yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2312yes—
715#385C2314yes—
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2312yes—
720#384C2312yes—
721#384C2312yes—
722#384C2312yes—
723#382C2311yescharacteristic
724#382C2312yes—
725#382C2314yes—
726#381C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2314yes—
743#380C2314yes—
744#379C2314yes—
745#379C2314yes—
746#379C2314yes—
747#379C2314yes—
748#379C2314yes—
749#379C2314yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810#376C2311yescharacteristic
811#376C2314yes—
812#376C2312yes—
813#376C2312yes—
814#376C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2312yes—
818C43C2312yes—
819C25C2414yes—
820C2×#41—28no—
821C2×#41—44no—
822C2×#41—44no—
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2414yes—
826C22×Q8C2414yes—
827C22×D4—28no—
828C22×D4—28no—
829C22×D4—44no—
830C22×D4—44no—
831C22×D4—44no—
832C22×D4—44no—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2414yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2411yescharacteristic
859C23×C4C2414yes—
860C23×C4C2412yes—
861C23×C4C2414yes—
862C4⋊Q8—24no—
863C4⋊Q8—28no—
864C4⋊Q8—44no—
865C4⋊Q8—44no—
866C4⋊Q8—44no—
867C4⋊Q8—48no—
868C4⋊Q8—82no—
869#127—24no—
870#127—24no—
871#127—44no—
872#126—28no—
873#126—48no—
874#126—48no—
875#126—48no—
876#125—24no—
877#125—24no—
878#125—44no—
879#125—48no—
880#124—24no—
881#124—28no—
882#124—48no—
883#124—48no—
884#124—48no—
885#124—44no—
886#124—44no—
887#124—44no—
888#124—48no—
889#124—84no—
890#124—84no—
891#123—28no—
892#123—216no—
893#123—48no—
894#123—84no—
895C22⋊Q8—28no—
896C22⋊Q8—24no—
897C22⋊Q8—48no—
898C22⋊Q8—48no—
899C22⋊Q8—48no—
900C22⋊Q8—44no—
901C22⋊Q8—44no—
902C22⋊Q8—44no—
903C22⋊Q8—84no—
904#121—24no—
905#121—28no—
906#121—28no—
907#121—28no—
908#121—48no—
909#121—48no—
910#121—48no—
911#121—44no—
912#121—42no—
913#121—42no—
914#121—44no—
915#121—44no—
916#121—44no—
917#121—82no—
918#120—216no—
919#120—48no—
920#120—48no—
921#120—84no—
922C4×Q8—24no—
923C4×Q8—24no—
924C4×Q8—48no—
925C4×Q8—44no—
926C4×Q8—42no—
927C4×Q8—44no—
928C4×D4—28no—
929C4×D4—24no—
930C4×D4—28no—
931C4×D4—24no—
932C4×D4—24no—
933C4×D4—48no—
934C4×D4—44no—
935C4×D4—42no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—48no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—82no—
945C4×D4#4118yes—
946#117—28no—
947#117—28no—
948#117—24no—
949#117—28no—
950#117—28no—
951#117—24no—
952#117—42no—
953#117—44no—
954#117—44no—
955#117—48no—
956#117—42no—
957#117—44no—
958C2×C4⋊C4—28no—
959C2×C4⋊C4—44no—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C22⋊C4—48no—
1022C2×C22⋊C4—48no—
1023C2×C22⋊C4—84no—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C42—24no—
1099C2×C42—44no—
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2414yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2414yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2414yes—
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2414yes—
1123C2×C42C2412yes—
1124C2×C42C2414yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2411yescharacteristic
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136#95C2412yes—
1137#95C2412yes—
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2412yes—
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194C24—28no—
1195C24—44no—
1196C24—44no—
1197C24—44no—
1198C24—44no—
1199C24—44no—
1200C24—44no—
1201C24C2512yes—
1202C24C2514yes—
1203C24C2511yescharacteristic
1204C24C2512yes—
1205C24C2512yes—
1206#41—816no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—22no—
1210C2×Q8—24no—
1211C2×Q8—28no—
1212C2×Q8—22no—
1213C2×Q8—24no—
1214C2×Q8—44no—
1215C2×Q8—44no—
1216C2×Q8—44no—
1217C2×Q8—44no—
1218C2×Q8—44no—
1219C2×D4—28no—
1220C2×D4—24no—
1221C2×D4—28no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—28no—
1228C2×D4—22no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—432no—
1270C2×D4—816no—
1271C2×D4C2×#4114yes—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—24no—
1284C22×C4—22no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—28no—
1288C22×C4—24no—
1289C22×C4—28no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—44no—
1294C22×C4—42no—
1295C22×C4—44no—
1296C22×C4—41no—
1297C22×C4—42no—
1298C22×C4—44no—
1299C22×C4—41no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4C2×#4118yes—
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2514yes—
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2512yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2514yes—
1330C22×C4C2514yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C4⋊C4—24no—
1339C4⋊C4—28no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—28no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—41no—
1371C4⋊C4—41no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—44no—
1397C4⋊C4C2×#4114yes—
1398C4⋊C4H(5,𝔽2)14yes—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—28no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—28no—
1407C22⋊C4—28no—
1408C22⋊C4—24no—
1409C22⋊C4—28no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—28no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—28no—
1417C22⋊C4—28no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—42no—
1472C22⋊C4C2×#4118yes—
1473C42—22no—
1474C42—22no—
1475C42—22no—
1476C42—24no—
1477C42—24no—
1478C42—28no—
1479C42—22no—
1480C42—28no—
1481C42—24no—
1482C42—22no—
1483C42—24no—
1484C42—22no—
1485C42—24no—
1486C42—22no—
1487C42—24no—
1488C42—22no—
1489C42—24no—
1490C42—22no—
1491C42—22no—
1492C42—42no—
1493C42—42no—
1494C42—42no—
1495C42—41no—
1496C42—42no—
1497C42—41no—
1498C42—42no—
1499C42—44no—
1500C42—41no—
1501C42—44no—
1502C42—42no—
1503C42—44no—
1504C42—42no—
1505C42—42no—
1506C42—41no—
1507C42C2×#4114yes—
1508C42H(5,𝔽2)14yes—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—21no—
1516C23—22no—
1517C23—22no—
1518C23—24no—
1519C23—22no—
1520C23—21no—
1521C23—22no—
1522C23—21no—
1523C23—24no—
1524C23—24no—
1525C23—22no—
1526C23—22no—
1527C23—21no—
1528C23—22no—
1529C23—24no—
1530C23—24no—
1531C23—21no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—24no—
1538C23—21no—
1539C23—22no—
1540C23—24no—
1541C23—22no—
1542C23—21no—
1543C23—416no—
1544C23—88no—
1545C23—88no—
1546C23—164no—
1547C23—164no—
1548C23—164no—
1549C23—164no—
1550C23C22×#4114yes—
1551C23C2611yescharacteristic
1552Q8—44no—
1553Q8—48no—
1554Q8—88no—
1555Q8—164no—
1556D4—28no—
1557D4—416no—
1558D4—48no—
1559D4—48no—
1560D4—44no—
1561D4—44no—
1562D4—84no—
1563D4—84no—
1564D4—84no—
1565D4—88no—
1566D4—84no—
1567D4—88no—
1568D4—84no—
1569D4—84no—
1570D4—164no—
1571D4—164no—
1572D4—164no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—216no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—24no—
1599C2×C4—22no—
1600C2×C4—24no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—24no—
1611C2×C4—21no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—22no—
1644C2×C4—24no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—44no—
1654C2×C4—48no—
1655C2×C4—48no—
1656C2×C4—44no—
1657C2×C4—82no—
1658C2×C4—84no—
1659C2×C4—88no—
1660C2×C4—88no—
1661C2×C4—84no—
1662C2×C4—164no—
1663C2×C4—164no—
1664C2×C4C22×#4112yes—
1665C2×C4C22×#4114yes—
1666C2×C4C22×#4112yes—
1667C2×C4C22×#4112yes—
1668C2×C4C2×H(5,𝔽2)14yes—
1669C2×C4C2×H(5,𝔽2)12yes—
1670C2×C4C2×H(5,𝔽2)12yes—
1671C2×C4C2×H(5,𝔽2)12yes—
1672C2×C4C2×H(5,𝔽2)12yes—
1673C2×C4#58512yes—
1674C2×C4#58512yes—
1675C22—24no—
1676C22—24no—
1677C22—24no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—41no—
1683C22—42no—
1684C22—42no—
1685C22—44no—
1686C22—41no—
1687C22—44no—
1688C22—42no—
1689C22—42no—
1690C22—44no—
1691C22—42no—
1692C22—42no—
1693C22—41no—
1694C22—44no—
1695C22—41no—
1696C22—42no—
1697C22—42no—
1698C22—42no—
1699C22—42no—
1700C22—44no—
1701C22—41no—
1702C22—41no—
1703C22—42no—
1704C22—42no—
1705C22—44no—
1706C22—41no—
1707C22—42no—
1708C22—42no—
1709C22—44no—
1710C22—1616no—
1711C22C23×#4111yescharacteristic
1712C22C22×H(5,𝔽2)11yescharacteristic
1713C22C22×H(5,𝔽2)11yescharacteristic
1714C22C2×#58511yescharacteristic
1715C22C2×#58511yescharacteristic
1716C22H(7,𝔽2)11yescharacteristic
1717C222−1+611yescharacteristic
1718C4—24no—
1719C4—22no—
1720C4—22no—
1721C4—24no—
1722C4—22no—
1723C4—41no—
1724C4—44no—
1725C4—41no—
1726C4—42no—
1727C4—41no—
1728C4—44no—
1729C4—42no—
1730C4—42no—
1731C4—44no—
1732C4—41no—
1733C4—41no—
1734C4—42no—
1735C4—41no—
1736C4—42no—
1737C4—42no—
1738C4—41no—
1739C4—42no—
1740C4—42no—
1741C4—42no—
1742C4—41no—
1743C4—42no—
1744C4—41no—
1745C4—42no—
1746C4#346014yes—
1747C4#351414yes—
1748C2—44no—
1749C2—81no—
1750C2—82no—
1751C2—84no—
1752C2—82no—
1753C2C2×#346011yescharacteristic
1754C2C2×#351411yescharacteristic
1755C2#6285711yescharacteristic
1756C2#6291611yescharacteristic
1757C2#6292111yescharacteristic
1758C2#6293111yescharacteristic
1759C2#6293711yescharacteristic
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. #42758C2semidirect
2. #42752C2semidirect
3. #42642C2semidirect
4. #42619C2semidirect
5. #41877C2semidirect
6. #41869C2semidirect
7. #41864C2semidirect
8. #41859C2semidirect
9. #39425C2semidirect
10. #39419C2semidirect
11. #39369C2semidirect
12. #39362C2semidirect
13. #38910C2semidirect
14. #38908C2semidirect
15. #38254C2semidirect
16. #38249C2semidirect
17. #37631C2semidirect
18. #37625C2semidirect
19. #37498C2semidirect
20. #37492C2semidirect
21. #36594C2semidirect
22. #36591C2semidirect
23. #36315C2semidirect
24. #36273C2semidirect
25. #36075C2semidirect
26. #36073C2semidirect
27. #36028C2semidirect
28. #36022C2semidirect
29. #35277C2semidirect
30. #35264C2semidirect
31. #34621C2semidirect
32. #34619C2semidirect
33. #34316C2semidirect
34. #34310C2semidirect
35. #34151C2semidirect
36. C2×#556C22semidirect
37. C2×#555C22semidirect
40. C2×#544C22semidirect
41. C2×#542C22semidirect
45. #2868C22semidirect
47. #2861C22semidirect
50. #2858C22semidirect
51. #2857C22semidirect
53. #2838C22semidirect
54. #2830C22semidirect
55. #2829C22semidirect
56. #2829C22semidirect
57. #2826C22semidirect
58. #2825C22semidirect
59. #2797C22semidirect
60. #2796C22semidirect
61. #2786C22semidirect
62. #2748C22semidirect
63. #2735C22semidirect
64. #2735C22semidirect
65. #2730C22semidirect
66. #2730C22semidirect
67. #2729C22semidirect
68. #2720C22semidirect
69. #2717C22semidirect
70. #2707C22semidirect
71. #2703C22semidirect
72. #2702C22semidirect
73. #2695C22semidirect
74. #2693C22semidirect
76. #2685C22semidirect
80. #2677C22semidirect
81. #2672C22semidirect
82. #2670C22semidirect
83. #2662C22semidirect
84. #2654C22semidirect
85. #2653C22semidirect
86. #2651C22semidirect
87. #2651C22semidirect
88. #2651C22semidirect
89. #2650C22semidirect
90. #2650C22semidirect
91. #2649C22semidirect
92. #2649C22semidirect
93. #2648C22semidirect
94. #2648C22semidirect
95. #2648C22semidirect
96. #2647C22semidirect
97. #2645C22semidirect
99. #2644C22semidirect
100. #2644C22semidirect
102. #2641C22semidirect
104. #2640C22semidirect
105. #2636C22semidirect
106. #2635C22semidirect
107. #2630C22semidirect
108. #2629C22semidirect
109. #2628C22semidirect
110. #2628C22semidirect
111. #2626C22semidirect
112. #2625C22semidirect
113. #2625C22semidirect
116. #2624C22semidirect
117. #2624C22semidirect
118. #2622C22semidirect
120. #2620C22semidirect
121. #2620C22semidirect
123. #2610C22semidirect
124. #2603C22semidirect
125. #2601C22semidirect
126. #2595C22semidirect
127. #2576C22semidirect
128. #2568C22semidirect
129. #2559C22semidirect
130. #2559C22semidirect
131. #2555C22semidirect
132. #2555C22semidirect
133. #2552C22semidirect
134. #2551C22semidirect
135. #2551C22semidirect
138. #2547C22semidirect
139. #2545C22semidirect
140. #2545C22semidirect
144. #2539C22semidirect
146. #2538C22semidirect
147. #2538C22semidirect
148. #2536C22semidirect
150. #2531C22semidirect
151. #2531C22semidirect
152. #2529C22semidirect
153. #2521C22semidirect
154. #2519C22semidirect
155. #2516C22semidirect
156. #2516C22semidirect
157. #2513C22semidirect
159. #2512C22semidirect
160. #2512C22semidirect
161. #2512C22semidirect
162. #2512C22semidirect
163. #2506C22semidirect
164. #2497C22semidirect
165. #2494C22semidirect
166. #2492C22semidirect
167. #2491C22semidirect
168. #2491C22semidirect
169. #2491C22semidirect
170. #2491C22semidirect
171. #2491C22semidirect
172. #2491C22semidirect
174. #2490C22semidirect
175. #2490C22semidirect
176. #2489C22semidirect
177. #2485C22semidirect
178. #2482C22semidirect
179. #2480C22semidirect
180. #2480C22semidirect
181. #2472C22semidirect
182. #2472C22semidirect
183. #2472C22semidirect
184. #2472C22semidirect
185. #2472C22semidirect
186. #2472C22semidirect
187. #2461C22semidirect
188. #2461C22semidirect
189. #2454C22semidirect
191. #2452C22semidirect
192. #2452C22semidirect
193. #2451C22semidirect
195. #2448C22semidirect
196. #2448C22semidirect
197. #2447C22semidirect
198. #2445C22semidirect
199. #2442C22semidirect
200. #2441C22semidirect
201. #2440C22semidirect
205. #2428C22semidirect
207. #2427C22semidirect
209. #2422C22semidirect
210. #2422C22semidirect
211. #2422C22semidirect
212. #2417C22semidirect
213. #2417C22semidirect
217. #2414C22semidirect
222. #2407C22semidirect
223. #2401C22semidirect
224. #2398C22semidirect
225. #2396C22semidirect
226. #2395C22semidirect
227. #2395C22semidirect
228. #2395C22semidirect
229. #2392C22semidirect
230. #2392C22semidirect
231. #2374C22semidirect
232. #2374C22semidirect
233. #2374C22semidirect
234. #2373C22semidirect
235. #2373C22semidirect
236. #2370C22semidirect
237. #2370C22semidirect
240. #2367C22semidirect
242. #2365C22semidirect
247. #2363C22semidirect
248. #2362C22semidirect
249. #2362C22semidirect
250. #2362C22semidirect
253. #2357C22semidirect
256. #2354C22semidirect
257. #2354C22semidirect
258. #2354C22semidirect
260. #2346C22semidirect
261. #2345C22semidirect
262. #2341C22semidirect
265. #2335C22semidirect
266. #2326C22semidirect
270. #2311C22semidirect
272. C4×C4⋊Q8C22semidirect
273. C4×C4⋊Q8C22semidirect
276. C4×#125C22semidirect
277. C4×#124C22semidirect
278. C4×C22⋊Q8C22semidirect
281. C4×#121C22semidirect
282. #2298C22semidirect
283. #2297C22semidirect
284. #2295C22semidirect
285. #2295C22semidirect
288. #2293C22semidirect
289. #2293C22semidirect
290. #2293C22semidirect
292. #2290C22semidirect
293. #2274C22semidirect
294. C42×Q8C22semidirect
296. C4×#117C22semidirect
297. C4×#117C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#427582
#427522
#426422
#426192
#418772
#418692
#418642
#418592
#394252
#394192
#393692
#393622
#389102
#389082
#382542
#382492
#376312
#376252
#374982
#374922
#365942
#365912
#363152
#362732
#360752
#360732
#360282
#360222
#352772
#352642
#346212
#346192
#343162
#343102
#341512