Finite Group Databasebeta

← #8094470

Subgroups — #8094470

Order 512.

5161 conjugacy classes of subgroups.

The subgroup lattice has 1875 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53135C212yesmaximal, complemented
2#53134C212yesmaximal, complemented
3#53101C212yesmaximal, complemented
4#53097C212yesmaximal, complemented
5#53019C212yesmaximal, complemented
6#53019C212yesmaximal, complemented
7#52982C212yesmaximal, complemented
8#52972C212yesmaximal, complemented
9#52585C214yesmaximal, complemented
10#52550C214yesmaximal, complemented
11#45700C212yesmaximal, complemented
12#45688C212yesmaximal, complemented
13#45656C212yesmaximal, complemented
14#45641C212yesmaximal, complemented
15#45631C212yesmaximal, complemented
16#45617C212yesmaximal, complemented
17#45482C212yesmaximal, complemented
18#45482C212yesmaximal, complemented
19#45475C214yesmaximal, complemented
20#45454C214yesmaximal, complemented
21#35585C211yesmaximal, characteristic, complemented
22#35575C211yesmaximal, characteristic, complemented
23#35542C211yesmaximal, characteristic, complemented
24#35542C211yesmaximal, characteristic, complemented
25#35518C211yesmaximal, characteristic, complemented
26#35516C211yesmaximal, characteristic, complemented
27#35263C211yesmaximal, characteristic, complemented
28#35257C211yesmaximal, characteristic, complemented
29#35255C211yesmaximal, characteristic, complemented
30#35253C211yesmaximal, characteristic, complemented
31#35224C211yesmaximal, characteristic, complemented
32#35223C211yesmaximal, characteristic, complemented
33#34935C211yesmaximal, characteristic, complemented
34C2×#2486C211yesmaximal, characteristic, complemented
35#34737C211yesmaximal, characteristic, complemented
36C2×#562C2214yes—
37C2×#544C2211yescharacteristic
38C2×#544C2211yescharacteristic
39C2×#537C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C22×#123C2212yes—
45C2×#520C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C22×C4×D4C2211yescharacteristic
48C22×#117C2211yescharacteristic
49C23×C4⋊C4C2211yescharacteristic
50#2857C2212yescomplemented
51#2857C2212yescomplemented
52#2855C2212yescomplemented
53#2855C2212yescomplemented
54#2854C2212yescomplemented
55#2854C2212yescomplemented
56#2851C2212yescomplemented
57#2851C2212yescomplemented
58#2848C2214yes—
59#2847C2214yes—
60#2845C2214yescomplemented
61#2841C2214yescomplemented
62#2841C2214yescomplemented
63#2839C2214yescomplemented
64#2837C2214yescomplemented
65#2836C2214yescomplemented
66#2836C2214yescomplemented
67#2831C2214yescomplemented
68#2831C2214yescomplemented
69#2831C2214yescomplemented
70#2830C2214yescomplemented
71#2829C2214yescomplemented
72#2827C2214yescomplemented
73#2827C2214yescomplemented
74#2824C2214yescomplemented
75#2816C2214yescomplemented
76#2814C2214yes—
77#2814C2214yescomplemented
78#2814C2214yescomplemented
79#2813C2214yes—
80#2806C2214yescomplemented
81#2802C2214yescomplemented
82#2781C2214yescomplemented
83#2772C2214yescomplemented
84#2768C2214yescomplemented
85#2761C2214yescomplemented
86#2761C2214yescomplemented
87#2751C2214yescomplemented
88#2750C2214yescomplemented
89#2750C2214yescomplemented
90#2747C2214yescomplemented
91#2744C2214yescomplemented
92#2744C2214yescomplemented
93#2743C2214yescomplemented
94#2743C2214yescomplemented
95#2740C2214yescomplemented
96#2740C2214yescomplemented
97#2739C2214yescomplemented
98#2710C2214yes—
99#2708C2214yes—
100#2708C2214yescomplemented
101#2706C2214yes—
102#2706C2214yes—
103#2704C2214yescomplemented
104#2704C2214yescomplemented
105#2701C2214yes—
106#2701C2214yescomplemented
107#2700C2214yescomplemented
108#2700C2214yescomplemented
109#2696C2214yes—
110#2694C2214yes—
111#2687C2214yes—
112#2687C2214yescomplemented
113#2687C2214yescomplemented
114#2686C2214yescomplemented
115#2686C2214yescomplemented
116#2682C2214yes—
117#2681C2214yes—
118#2672C2214yes—
119#2671C2214yes—
120#2629C2212yescomplemented
121#2629C2212yescomplemented
122#2628C2212yescomplemented
123#2628C2212yescomplemented
124#2627C2214yes—
125#2625C2212yescomplemented
126#2625C2212yescomplemented
127#2624C2212yescomplemented
128#2624C2212yescomplemented
129#2618C2214yes—
130#2569C2214yes—
131#2564C2214yes—
132#2563C2212yescomplemented
133#2563C2212yescomplemented
134#2562C2212yescomplemented
135#2562C2212yescomplemented
136#2562C2212yescomplemented
137#2562C2212yescomplemented
138#2547C2212yescomplemented
139#2547C2212yescomplemented
140#2538C2211yescharacteristic
141#2538C2211yescharacteristic
142#2538C2212yescomplemented
143#2537C2211yescharacteristic
144#2537C2211yescharacteristic
145#2537C2212yescomplemented
146#2536C2211yescharacteristic
147#2536C2211yescharacteristic
148#2536C2212yescomplemented
149#2535C2211yescharacteristic
150#2535C2211yescharacteristic
151#2535C2212yescomplemented
152#2534C2212yes—
153#2534C2212yes—
154#2509C2212yescomplemented
155#2509C2212yescomplemented
156#2508C2212yescomplemented
157#2508C2212yescomplemented
158#2507C2212yescomplemented
159#2507C2212yescomplemented
160#2506C2212yescomplemented
161#2506C2212yescomplemented
162#2498C2214yes—
163#2492C2212yescomplemented
164#2492C2212yescomplemented
165#2491C2212yescomplemented
166#2491C2212yescomplemented
167#2490C2212yescomplemented
168#2490C2212yescomplemented
169#2489C2212yescomplemented
170#2489C2212yescomplemented
171#2488C2214yes—
172#2488C2214yes—
173#2487C2212yescomplemented
174#2487C2212yescomplemented
175#2486C2212yes—
176#2486C2212yes—
177#2486C2212yes—
178#2486C2212yes—
179#2486C2212yes—
180#2486C2212yes—
181#2486C2212yes—
182#2486C2212yes—
183#2486C2212yes—
184#2486C2212yescomplemented
185#2486C2212yescomplemented
186#2485C2212yescomplemented
187#2485C2212yescomplemented
188#2485C2212yescomplemented
189#2485C2212yescomplemented
190#2472C2214yes—
191#2472C2214yes—
192#2454C2212yescomplemented
193#2454C2212yescomplemented
194#2453C2212yescomplemented
195#2453C2212yescomplemented
196#2452C2212yescomplemented
197#2452C2212yescomplemented
198#2451C2212yescomplemented
199#2451C2212yescomplemented
200#2450C2214yes—
201#2449C2214yes—
202#2444C2214yes—
203#2443C2214yes—
204#2442C2214yes—
205#2442C2212yescomplemented
206#2442C2212yescomplemented
207#2442C2212yescomplemented
208#2442C2212yescomplemented
209#2442C2212yescomplemented
210#2442C2212yescomplemented
211#2441C2212yescomplemented
212#2441C2212yescomplemented
213#2440C2212yescomplemented
214#2440C2212yescomplemented
215#2440C2212yescomplemented
216#2440C2212yescomplemented
217#2440C2212yescomplemented
218#2440C2212yescomplemented
219#2439C2212yescomplemented
220#2439C2212yescomplemented
221#2438C2214yes—
222#2437C2214yes—
223#2425C2214yes—
224#2424C2214yes—
225#2423C2212yescomplemented
226#2423C2212yescomplemented
227#2422C2212yescomplemented
228#2422C2212yescomplemented
229#2421C2212yescomplemented
230#2421C2212yescomplemented
231#2420C2212yescomplemented
232#2420C2212yescomplemented
233#2419C2214yes—
234#2418C2214yes—
235#2417C2211yescharacteristic
236#2417C2214yes—
237#2417C2211yescharacteristic
238#2417C2212yescomplemented
239#2417C2212yescomplemented
240#2417C2212yescomplemented
241#2417C2212yescomplemented
242#2417C2212yescomplemented
243#2416C2211yescharacteristic
244#2416C2211yescharacteristic
245#2416C2212yescomplemented
246#2416C2212yescomplemented
247#2416C2212yescomplemented
248#2416C2212yescomplemented
249#2416C2212yescomplemented
250#2415C2211yescharacteristic
251#2415C2211yescharacteristic
252#2415C2212yescomplemented
253#2414C2211yescharacteristic
254#2414C2211yescharacteristic
255#2414C2212yescomplemented
256#2413C2212yes—
257#2412C2212yes—
258#2412C2214yes—
259#2411C2212yes—
260#2410C2212yes—
261#2408C2212yes—
262#2392C2212yes—
263#2392C2212yes—
264#2392C2212yes—
265#2392C2212yes—
266C2×#398C2212yes—
267C2×#397C2212yes—
268#2378C2214yescomplemented
269#2377C2214yescomplemented
270#2376C2214yes—
271#2317C2211yescharacteristic
272#2317C2211yescharacteristic
273#2317C2211yescharacteristic
274#2316C2211yescharacteristic
275#2316C2211yescharacteristic
276#2316C2211yescharacteristic
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280#2311C2211yescharacteristic
281#2311C2211yescharacteristic
282C4×#121C2212yes—
283C4×#121C2212yes—
284C4×#121C2212yes—
285C4×#121C2212yes—
286#2297C2211yescharacteristic
287#2296C2211yescharacteristic
288C2×#389C2211yescharacteristic
289C2×#389C2211yescharacteristic
290#2285C2211yescharacteristic
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293#2280C2211yescharacteristic
294C2×#381C2212yes—
295C2×#380C2211yescharacteristic
296C2×#380C2211yescharacteristic
297C2×#380C2211yescharacteristic
298#2274C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C24×C4C2311yescharacteristic
303C24×C4C2311yescharacteristic
304C24×C4C2312yes—
305#562—416no—
306#544—44no—
307#544—44no—
308#537—44no—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#124C2314yes—
319C2×#124C2314yes—
320#525—44no—
321#525—44no—
322#525—44no—
323#525—44no—
324C2×#123—48no—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2312yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2312yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2311yescharacteristic
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2311yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#121C2311yescharacteristic
366C2×#121C2311yescharacteristic
367C2×#121C2311yescharacteristic
368C2×#121C2311yescharacteristic
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#120C2312yes—
372C2×#120C2312yes—
373C2×#120C2312yes—
374C2×#120C2312yes—
375#520—44no—
376C4×#41—44no—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2312yes—
380C2×C4×D4—44no—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×#117—44no—
404C2×#117C2311yescharacteristic
405C2×#117C2311yescharacteristic
406C2×#117C2311yescharacteristic
407C2×#117C2311yescharacteristic
408C2×#117C2311yescharacteristic
409C2×#117C2311yescharacteristic
410C2×#117C2312yes—
411C2×#117C2312yes—
412C2×#117C2312yes—
413C2×#117C2311yescharacteristic
414C2×#117C2311yescharacteristic
415C2×#117C2312yes—
416C22×C4⋊C4—44no—
417C22×C4⋊C4C2311yescharacteristic
418C22×C4⋊C4C2311yescharacteristic
419C22×C4⋊C4C2311yescharacteristic
420C22×C4⋊C4C2311yescharacteristic
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2311yescharacteristic
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2312yes—
425C22×C4⋊C4C2312yes—
426C22×C4⋊C4C2312yes—
427C22×C4⋊C4C2312yes—
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2311yescharacteristic
430C22×C4⋊C4C2311yescharacteristic
431C22×C4⋊C4C2312yes—
432C22×C22⋊C4C2311yescharacteristic
433C22×C22⋊C4C2312yes—
434C22×C22⋊C4C2312yes—
435C22×C22⋊C4C2312yes—
436C22×C22⋊C4C2311yescharacteristic
437C22×C22⋊C4C2312yes—
438C22×C42C2311yescharacteristic
439C22×C42C2312yes—
440C22×C42C2312yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#400C2314yes—
455#400C2314yes—
456#400C2314yes—
457#399C2314yes—
458#399C2314yes—
459#399C2314yes—
460#399C2314yes—
461#399C2314yes—
462#399C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2312yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2314yes—
476#398C2312yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2312yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2312yes—
485#398C2314yes—
486#398C2314yes—
487#398C2314yes—
488#398C2314yes—
489#398C2314yes—
490#398C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2312yes—
499#397C2314yes—
500#397C2314yes—
501#397C2312yes—
502#397C2312yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2312yes—
507#397C2314yes—
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#396C2312yes—
514#396C2312yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2312yes—
527#396C2312yes—
528#396C2312yes—
529#396C2312yes—
530#396C2312yes—
531#396C2312yes—
532#396C2314yes—
533#395C2314yes—
534#395C2314yes—
535#395C2314yes—
536#395C2314yes—
537#395C2314yes—
538#394C2312yes—
539#394C2312yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2312yes—
548#394C2314yes—
549#394C2314yes—
550#394C2312yes—
551#394C2314yes—
552#394C2312yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2312yes—
557#394C2312yes—
558#394C2312yes—
559#394C2312yes—
560#394C2312yes—
561#394C2312yes—
562#394C2312yes—
563#394C2314yes—
564#394C2314yes—
565#393C2314yes—
566#393C2314yes—
567#393C2314yes—
568#393C2314yes—
569#393C2314yes—
570#393C2314yes—
571#393C2314yes—
572#392C2314yes—
573#392C2312yes—
574#392C2312yes—
575#392C2312yes—
576#392C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2312yes—
582#391C2314yes—
583#391C2314yes—
584#391C2314yes—
585#391C2311yescharacteristic
586#391C2314yes—
587#391C2311yescharacteristic
588#391C2314yes—
589#390C2314yes—
590#390C2314yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2314yes—
597#390C2311yescharacteristic
598#390C2311yescharacteristic
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2314yes—
623#389C2314yes—
624#389C2312yes—
625#389C2311yescharacteristic
626#389C2312yes—
627#389C2312yes—
628#389C2311yescharacteristic
629#389C2314yes—
630#389C2312yes—
631#389C2311yescharacteristic
632#389C2312yes—
633#389C2311yescharacteristic
634#389C2314yes—
635#389C2314yes—
636#389C2314yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2314yes—
653#388C2312yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2312yes—
661#388C2312yes—
662#388C2314yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#386C2312yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2312yes—
690#386C2314yes—
691#386C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2312yes—
700#386C2314yes—
701#386C2314yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#386C2312yes—
706#386C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#384C2312yes—
726#384C2312yes—
727#384C2312yes—
728#384C2311yescharacteristic
729#384C2311yescharacteristic
730#382C2314yes—
731#382C2314yes—
732#382C2312yes—
733#382C2312yes—
734#382C2312yes—
735#382C2314yes—
736#382C2311yescharacteristic
737#382C2311yescharacteristic
738#381C2314yes—
739#381C2314yes—
740#381C2314yes—
741#381C2314yes—
742#381C2312yes—
743#381C2312yes—
744#381C2314yes—
745#381C2314yes—
746#381C2312yes—
747#381C2314yes—
748#380C2312yes—
749#380C2312yes—
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2314yes—
768#380C2312yes—
769#380C2312yes—
770#380C2314yes—
771#380C2314yes—
772#380C2314yes—
773#380C2314yes—
774#380C2314yes—
775#380C2314yes—
776#380C2314yes—
777#380C2314yes—
778#380C2312yes—
779#380C2311yescharacteristic
780#380C2314yes—
781#380C2314yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2311yescharacteristic
787#380C2312yes—
788#380C2312yes—
789#380C2311yescharacteristic
790#380C2311yescharacteristic
791#380C2312yes—
792#380C2311yescharacteristic
793#380C2311yescharacteristic
794#380C2312yes—
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2312yes—
799#379C2312yes—
800#379C2312yes—
801#379C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
822C2×#95C2312yes—
823C2×#95C2312yes—
824C25C2411yescharacteristic
825C25C2411yescharacteristic
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2414yes—
835C22×Q8C2414yes—
836C22×D4—24no—
837C22×D4—42no—
838C22×D4—42no—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2411yescharacteristic
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2411yescharacteristic
856C23×C4—24no—
857C23×C4—24no—
858C23×C4—24no—
859C23×C4—24no—
860C23×C4—24no—
861C23×C4—24no—
862C23×C4—44no—
863C23×C4—44no—
864C23×C4—44no—
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2412yes—
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2411yescharacteristic
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2414yes—
885C23×C4C2414yes—
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2414yes—
889C23×C4C2412yes—
890C23×C4C2411yescharacteristic
891C4⋊Q8—44no—
892C4⋊Q8—44no—
893C4⋊Q8—44no—
894C4⋊Q8—44no—
895#125—44no—
896#125—44no—
897#125—44no—
898#125—44no—
899#125—48no—
900#124—48no—
901#124—48no—
902#123—216no—
903#123—48no—
904#123—48no—
905#123—48no—
906#123—48no—
907#123—44no—
908#123—44no—
909#123—44no—
910#123—44no—
911#123—48no—
912#123—48no—
913C22⋊Q8—48no—
914C22⋊Q8—48no—
915C22⋊Q8—48no—
916C22⋊Q8—48no—
917C22⋊Q8—48no—
918C22⋊Q8—48no—
919C22⋊Q8—48no—
920C22⋊Q8—42no—
921C22⋊Q8—42no—
922C22⋊Q8—42no—
923C22⋊Q8—42no—
924C22⋊Q8—42no—
925C22⋊Q8—42no—
926C22⋊Q8—42no—
927C22⋊Q8—42no—
928C22⋊Q8—44no—
929C22⋊Q8—44no—
930#121—28no—
931#121—28no—
932#121—44no—
933#121—44no—
934#121—48no—
935#121—42no—
936#121—42no—
937#121—42no—
938#121—42no—
939#121—42no—
940#121—42no—
941#121—42no—
942#121—42no—
943#121—44no—
944#121—44no—
945#121—48no—
946#121—48no—
947#121—48no—
948#120—44no—
949#120—44no—
950#120—44no—
951#120—44no—
952C4×Q8—42no—
953C4×Q8—42no—
954C4×Q8—44no—
955C4×D4—42no—
956C4×D4—42no—
957C4×D4—44no—
958C4×D4—42no—
959C4×D4—42no—
960C4×D4—42no—
961C4×D4—42no—
962C4×D4—42no—
963C4×D4—42no—
964C4×D4—42no—
965C4×D4—42no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—48no—
977#117—24no—
978#117—24no—
979#117—24no—
980#117—24no—
981#117—24no—
982#117—24no—
983#117—44no—
984#117—44no—
985#117—44no—
986#117—42no—
987#117—42no—
988#117—44no—
989C2×C4⋊C4—24no—
990C2×C4⋊C4—24no—
991C2×C4⋊C4—24no—
992C2×C4⋊C4—24no—
993C2×C4⋊C4—44no—
994C2×C4⋊C4—44no—
995C2×C4⋊C4—44no—
996C2×C4⋊C4—44no—
997C2×C4⋊C4—42no—
998C2×C4⋊C4—42no—
999C2×C4⋊C4—44no—
1000C2×C4⋊C4—44no—
1001C2×C4⋊C4—44no—
1002C2×C4⋊C4—44no—
1003C2×C4⋊C4—42no—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C22⋊C4—44no—
1075C2×C22⋊C4—44no—
1076C2×C22⋊C4—44no—
1077C2×C22⋊C4—44no—
1078C2×C22⋊C4—42no—
1079C2×C22⋊C4—42no—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2411yescharacteristic
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C42—24no—
1150C2×C42—44no—
1151C2×C42—44no—
1152C2×C42C2411yescharacteristic
1153C2×C42C2412yes—
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2412yes—
1163C2×C42C2412yes—
1164C2×C42C2414yes—
1165C2×C42C2412yes—
1166C2×C42C2412yes—
1167C2×C42C2414yes—
1168C2×C42C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227C24—22no—
1228C24—22no—
1229C24—22no—
1230C24—22no—
1231C24—22no—
1232C24—22no—
1233C24—22no—
1234C24—22no—
1235C24—22no—
1236C24—41no—
1237C24—41no—
1238C24—41no—
1239C24—41no—
1240C24—41no—
1241C24C2511yescharacteristic
1242C24C2512yes—
1243C24C2512yes—
1244C24C2511yescharacteristic
1245C24C2511yescharacteristic
1246C24C2511yescharacteristic
1247C24C2511yescharacteristic
1248#41—416no—
1249#41—416no—
1250C2×Q8—22no—
1251C2×Q8—22no—
1252C2×Q8—22no—
1253C2×Q8—22no—
1254C2×Q8—22no—
1255C2×Q8—22no—
1256C2×Q8—44no—
1257C2×Q8—44no—
1258C2×Q8—44no—
1259C2×Q8—44no—
1260C2×Q8—44no—
1261C2×Q8—44no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—416no—
1313C2×D4H(5,𝔽2)14yes—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—28no—
1327C22×C4—24no—
1328C22×C4—28no—
1329C22×C4—22no—
1330C22×C4—24no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—24no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—24no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—24no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—24no—
1361C22×C4—41no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—42no—
1373C22×C4—42no—
1374C22×C4—44no—
1375C22×C4—42no—
1376C22×C4—44no—
1377C22×C4—42no—
1378C22×C4—42no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—42no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—42no—
1385C22×C4—42no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—416no—
1390C22×C4—416no—
1391C22×C4—816no—
1392C22×C4H(5,𝔽2)14yes—
1393C22×C4H(5,𝔽2)14yes—
1394C22×C42−1+414yes—
1395C22×C4C2511yescharacteristic
1396C22×C4C2514yes—
1397C22×C4C2511yescharacteristic
1398C22×C4C2512yes—
1399C22×C4C2511yescharacteristic
1400C22×C4C2512yes—
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2514yes—
1413C22×C4C2512yes—
1414C22×C4C2514yes—
1415C22×C4C2514yes—
1416C22×C4C2512yes—
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2511yescharacteristic
1420C22×C4C2511yescharacteristic
1421C22×C4C2511yescharacteristic
1422C22×C4C2511yescharacteristic
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—28no—
1435C4⋊C4—28no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—41no—
1452C4⋊C4—41no—
1453C4⋊C4—41no—
1454C4⋊C4—41no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—44no—
1461C4⋊C4—42no—
1462C4⋊C4—44no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—42no—
1472C4⋊C4—42no—
1473C4⋊C4—42no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C4⋊C4—44no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—44no—
1487C4⋊C4—44no—
1488C4⋊C4—44no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—28no—
1496C22⋊C4—28no—
1497C22⋊C4—28no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—41no—
1511C22⋊C4—41no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—44no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—44no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—42no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C42—22no—
1563C42—22no—
1564C42—22no—
1565C42—22no—
1566C42—24no—
1567C42—24no—
1568C42—24no—
1569C42—24no—
1570C42—24no—
1571C42—24no—
1572C42—42no—
1573C42—42no—
1574C42—42no—
1575C42—42no—
1576C42—44no—
1577C42—44no—
1578C42—44no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—28no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—22no—
1603C23—21no—
1604C23—21no—
1605C23—22no—
1606C23—21no—
1607C23—22no—
1608C23—22no—
1609C23—22no—
1610C23—22no—
1611C23—21no—
1612C23—22no—
1613C23—22no—
1614C23—22no—
1615C23—22no—
1616C23—21no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—21no—
1621C23—22no—
1622C23—21no—
1623C23—44no—
1624C23—44no—
1625C23—44no—
1626C23—44no—
1627C23—44no—
1628C23—44no—
1629C23—44no—
1630C23—44no—
1631C23—44no—
1632C23—44no—
1633C23—82no—
1634C23—82no—
1635C23—82no—
1636C23C2×H(5,𝔽2)12yes—
1637C23C2×H(5,𝔽2)12yes—
1638C23C2×H(5,𝔽2)12yes—
1639C23C2×H(5,𝔽2)12yes—
1640C23C2×2−1+412yes—
1641C23#58512yes—
1642C23C2611yescharacteristic
1643Q8—44no—
1644Q8—44no—
1645Q8—164no—
1646Q8—164no—
1647D4—44no—
1648D4—44no—
1649D4—44no—
1650D4—44no—
1651D4—48no—
1652D4—48no—
1653D4—44no—
1654D4—44no—
1655D4—84no—
1656D4—84no—
1657D4—84no—
1658D4—84no—
1659D4—84no—
1660D4—84no—
1661D4—84no—
1662D4—84no—
1663D4—164no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—24no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—24no—
1692C2×C4—24no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—24no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—24no—
1706C2×C4—21no—
1707C2×C4—24no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—24no—
1722C2×C4—24no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—24no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—24no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—21no—
1741C2×C4—44no—
1742C2×C4—44no—
1743C2×C4—44no—
1744C2×C4—44no—
1745C2×C4—44no—
1746C2×C4—44no—
1747C2×C4—44no—
1748C2×C4—44no—
1749C2×C4—44no—
1750C2×C4—44no—
1751C2×C4—44no—
1752C2×C4—48no—
1753C2×C4—48no—
1754C2×C4—84no—
1755C2×C4—82no—
1756C2×C4—84no—
1757C2×C4—84no—
1758C2×C4—84no—
1759C2×C4—84no—
1760C2×C4—88no—
1761C2×C4—88no—
1762C2×C4—84no—
1763C2×C4—84no—
1764C2×C4—84no—
1765C2×C4—164no—
1766C2×C4#562116yescomplemented
1767C2×C4C2×H(5,𝔽2)12yes—
1768C2×C4C2×H(5,𝔽2)12yes—
1769C2×C4C2×H(5,𝔽2)12yes—
1770C2×C4C2×H(5,𝔽2)12yes—
1771C2×C4C2×H(5,𝔽2)12yes—
1772C2×C4C2×2−1+412yes—
1773C2×C4C2×2−1+412yes—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—22no—
1789C22—416no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—42no—
1803C22—41no—
1804C22—42no—
1805C22—42no—
1806C22—41no—
1807C22—42no—
1808C22—42no—
1809C22—42no—
1810C22—41no—
1811C22—42no—
1812C22—42no—
1813C22—41no—
1814C22—42no—
1815C22—41no—
1816C22—42no—
1817C22—42no—
1818C22—42no—
1819C22—41no—
1820C22—41no—
1821C22—42no—
1822C22—42no—
1823C22—88no—
1824C22C2×#56214yes—
1825C22C22×H(5,𝔽2)11yescharacteristic
1826C22C22×H(5,𝔽2)11yescharacteristic
1827C22C22×H(5,𝔽2)11yescharacteristic
1828C22C22×2−1+411yescharacteristic
1829C22C2×#58511yescharacteristic
1830C222−1+611yescharacteristic
1831C222−1+611yescharacteristic
1832C4—22no—
1833C4—41no—
1834C4—44no—
1835C4—44no—
1836C4—42no—
1837C4—42no—
1838C4—41no—
1839C4—42no—
1840C4—41no—
1841C4—42no—
1842C4—44no—
1843C4—42no—
1844C4—42no—
1845C4—42no—
1846C4—42no—
1847C4—44no—
1848C4—42no—
1849C4—42no—
1850C4—42no—
1851C4—42no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—42no—
1857C4—42no—
1858C4C2×#56214yes—
1859C4C2×#56214yes—
1860C2—24no—
1861C2—42no—
1862C2—42no—
1863C2—42no—
1864C2—82no—
1865C2—82no—
1866C2—81no—
1867C2C22×#56211yescharacteristic
1868C2#6281811yescharacteristic
1869C2#6288611yescharacteristic
1870C2#6291411yescharacteristic
1871C2#6291511yescharacteristic
1872C2#6292711yescharacteristic
1873C2#6292811yescharacteristic
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. #53135C2semidirect
2. #53134C2semidirect
3. #53101C2semidirect
4. #53097C2semidirect
5. #53019C2semidirect
6. #53019C2semidirect
7. #52982C2semidirect
8. #52972C2semidirect
9. #52585C2semidirect
10. #52550C2semidirect
11. #45700C2semidirect
12. #45688C2semidirect
13. #45656C2semidirect
14. #45641C2semidirect
15. #45631C2semidirect
16. #45617C2semidirect
17. #45482C2semidirect
18. #45482C2semidirect
19. #45475C2semidirect
20. #45454C2semidirect
21. #35585C2semidirect
22. #35575C2semidirect
23. #35542C2semidirect
24. #35542C2semidirect
25. #35518C2semidirect
26. #35516C2semidirect
27. #35263C2semidirect
28. #35257C2semidirect
29. #35255C2semidirect
30. #35253C2semidirect
31. #35224C2semidirect
32. #35223C2semidirect
33. #34935C2semidirect
34. C2×#2486C2semidirect
35. #34737C2semidirect
50. #2857C22semidirect
51. #2857C22semidirect
52. #2855C22semidirect
53. #2855C22semidirect
54. #2854C22semidirect
55. #2854C22semidirect
56. #2851C22semidirect
57. #2851C22semidirect
60. #2845C22semidirect
61. #2841C22semidirect
62. #2841C22semidirect
63. #2839C22semidirect
64. #2837C22semidirect
65. #2836C22semidirect
66. #2836C22semidirect
67. #2831C22semidirect
68. #2831C22semidirect
69. #2831C22semidirect
70. #2830C22semidirect
71. #2829C22semidirect
72. #2827C22semidirect
73. #2827C22semidirect
74. #2824C22semidirect
75. #2816C22semidirect
77. #2814C22semidirect
78. #2814C22semidirect
80. #2806C22semidirect
81. #2802C22semidirect
82. #2781C22semidirect
83. #2772C22semidirect
84. #2768C22semidirect
85. #2761C22semidirect
86. #2761C22semidirect
87. #2751C22semidirect
88. #2750C22semidirect
89. #2750C22semidirect
90. #2747C22semidirect
91. #2744C22semidirect
92. #2744C22semidirect
93. #2743C22semidirect
94. #2743C22semidirect
95. #2740C22semidirect
96. #2740C22semidirect
97. #2739C22semidirect
100. #2708C22semidirect
103. #2704C22semidirect
104. #2704C22semidirect
106. #2701C22semidirect
107. #2700C22semidirect
108. #2700C22semidirect
112. #2687C22semidirect
113. #2687C22semidirect
114. #2686C22semidirect
115. #2686C22semidirect
120. #2629C22semidirect
121. #2629C22semidirect
122. #2628C22semidirect
123. #2628C22semidirect
125. #2625C22semidirect
126. #2625C22semidirect
127. #2624C22semidirect
128. #2624C22semidirect
132. #2563C22semidirect
133. #2563C22semidirect
134. #2562C22semidirect
135. #2562C22semidirect
136. #2562C22semidirect
137. #2562C22semidirect
138. #2547C22semidirect
139. #2547C22semidirect
142. #2538C22semidirect
145. #2537C22semidirect
148. #2536C22semidirect
151. #2535C22semidirect
154. #2509C22semidirect
155. #2509C22semidirect
156. #2508C22semidirect
157. #2508C22semidirect
158. #2507C22semidirect
159. #2507C22semidirect
160. #2506C22semidirect
161. #2506C22semidirect
163. #2492C22semidirect
164. #2492C22semidirect
165. #2491C22semidirect
166. #2491C22semidirect
167. #2490C22semidirect
168. #2490C22semidirect
169. #2489C22semidirect
170. #2489C22semidirect
173. #2487C22semidirect
174. #2487C22semidirect
184. #2486C22semidirect
185. #2486C22semidirect
186. #2485C22semidirect
187. #2485C22semidirect
188. #2485C22semidirect
189. #2485C22semidirect
192. #2454C22semidirect
193. #2454C22semidirect
194. #2453C22semidirect
195. #2453C22semidirect
196. #2452C22semidirect
197. #2452C22semidirect
198. #2451C22semidirect
199. #2451C22semidirect
205. #2442C22semidirect
206. #2442C22semidirect
207. #2442C22semidirect
208. #2442C22semidirect
209. #2442C22semidirect
210. #2442C22semidirect
211. #2441C22semidirect
212. #2441C22semidirect
213. #2440C22semidirect
214. #2440C22semidirect
215. #2440C22semidirect
216. #2440C22semidirect
217. #2440C22semidirect
218. #2440C22semidirect
219. #2439C22semidirect
220. #2439C22semidirect
225. #2423C22semidirect
226. #2423C22semidirect
227. #2422C22semidirect
228. #2422C22semidirect
229. #2421C22semidirect
230. #2421C22semidirect
231. #2420C22semidirect
232. #2420C22semidirect
238. #2417C22semidirect
239. #2417C22semidirect
240. #2417C22semidirect
241. #2417C22semidirect
242. #2417C22semidirect
245. #2416C22semidirect
246. #2416C22semidirect
247. #2416C22semidirect
248. #2416C22semidirect
249. #2416C22semidirect
252. #2415C22semidirect
255. #2414C22semidirect
268. #2378C22semidirect
269. #2377C22semidirect
1766. C2×C4#562semidirect

Maximal subgroups

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

subgroupindex
#531352
#531342
#531012
#530972
#530192
#529822
#529722
#525852
#525502
#457002
#456882
#456562
#456412
#456312
#456172
#454822
#454752
#454542
#355852
#355752
#355422
#355182
#355162
#352632
#352572
#352552
#352532
#352242
#352232
#349352
C2×#24862
#347372