Finite Group Databasebeta

← #8095537

Subgroups — #8095537

Order 512.

5042 conjugacy classes of subgroups.

The subgroup lattice has 1814 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53138C212yesmaximal, complemented
2#53127C212yesmaximal, complemented
3#53115C212yesmaximal, complemented
4#53106C212yesmaximal, complemented
5#53079C212yesmaximal, complemented
6#52985C212yesmaximal, complemented
7#52984C212yesmaximal, complemented
8#52979C212yesmaximal, complemented
9#52425C214yesmaximal, complemented
10#52317C214yesmaximal, complemented
11#46104C212yesmaximal, complemented
12#46072C212yesmaximal, complemented
13#46042C212yesmaximal, complemented
14#46015C212yesmaximal, complemented
15#45718C212yesmaximal, complemented
16#45619C212yesmaximal, complemented
17#45610C212yesmaximal, complemented
18#45560C214yesmaximal, complemented
19#45530C214yesmaximal, complemented
20#45516C212yesmaximal, complemented
21#35620C211yesmaximal, characteristic, complemented
22#35618C211yesmaximal, characteristic, complemented
23#35575C211yesmaximal, characteristic, complemented
24#35564C211yesmaximal, characteristic, complemented
25#35533C211yesmaximal, characteristic, complemented
26#35531C211yesmaximal, characteristic, complemented
27#35265C211yesmaximal, characteristic, complemented
28#35264C211yesmaximal, characteristic, complemented
29#35256C211yesmaximal, characteristic, complemented
30#35255C211yesmaximal, characteristic, complemented
31#35168C211yesmaximal, characteristic, complemented
32#35152C211yesmaximal, characteristic, complemented
33#34955C211yesmaximal, characteristic, complemented
34#34952C211yesmaximal, characteristic, complemented
35C2×#2580C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#535C2211yescharacteristic
41C2×#535C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#520C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C22×C4×Q8C2211yescharacteristic
47C22×C4×D4C2211yescharacteristic
48#2864C2212yescomplemented
49#2861C2212yes—
50#2859C2212yescomplemented
51#2858C2212yes—
52#2856C2212yes—
53#2855C2212yescomplemented
54#2854C2212yescomplemented
55#2850C2212yes—
56#2849C2214yes—
57#2847C2214yes—
58#2837C2214yescomplemented
59#2837C2214yescomplemented
60#2836C2214yescomplemented
61#2832C2214yescomplemented
62#2832C2214yescomplemented
63#2831C2214yescomplemented
64#2830C2214yescomplemented
65#2829C2214yescomplemented
66#2829C2214yescomplemented
67#2827C2214yescomplemented
68#2827C2214yescomplemented
69#2827C2214yescomplemented
70#2826C2214yescomplemented
71#2824C2214yescomplemented
72#2824C2214yescomplemented
73#2824C2214yescomplemented
74#2819C2214yescomplemented
75#2816C2214yescomplemented
76#2816C2214yescomplemented
77#2813C2214yescomplemented
78#2808C2214yescomplemented
79#2798C2214yescomplemented
80#2788C2214yescomplemented
81#2786C2214yescomplemented
82#2768C2214yescomplemented
83#2761C2214yescomplemented
84#2754C2214yescomplemented
85#2751C2214yescomplemented
86#2751C2214yescomplemented
87#2750C2214yescomplemented
88#2750C2214yescomplemented
89#2744C2214yescomplemented
90#2743C2214yescomplemented
91#2741C2214yescomplemented
92#2740C2214yescomplemented
93#2739C2214yescomplemented
94#2730C2214yescomplemented
95#2711C2214yescomplemented
96#2711C2214yescomplemented
97#2710C2214yescomplemented
98#2710C2214yescomplemented
99#2710C2214yescomplemented
100#2708C2214yescomplemented
101#2708C2214yescomplemented
102#2706C2214yescomplemented
103#2701C2214yescomplemented
104#2701C2214yescomplemented
105#2700C2214yescomplemented
106#2696C2214yescomplemented
107#2694C2214yescomplemented
108#2694C2214yescomplemented
109#2687C2214yescomplemented
110#2686C2214yescomplemented
111#2686C2214yescomplemented
112#2682C2214yescomplemented
113#2676C2214yescomplemented
114#2676C2214yescomplemented
115#2671C2214yescomplemented
116#2671C2214yescomplemented
117#2671C2214yescomplemented
118#2647C2212yescomplemented
119#2647C2212yescomplemented
120#2641C2212yes—
121#2640C2212yes—
122#2625C2212yescomplemented
123#2624C2212yescomplemented
124#2622C2214yes—
125#2620C2212yes—
126#2619C2212yes—
127#2617C2214yes—
128#2592C2211yescharacteristic, complemented
129#2592C2211yescharacteristic, complemented
130#2592C2211yescharacteristic, complemented
131#2592C2211yescharacteristic, complemented
132#2591C2212yes—
133#2591C2212yes—
134#2582C2211yescharacteristic, complemented
135#2582C2211yescharacteristic, complemented
136#2581C2211yescharacteristic, complemented
137#2581C2211yescharacteristic, complemented
138#2580C2212yes—
139#2580C2212yes—
140#2580C2212yes—
141#2580C2212yes—
142#2580C2212yes—
143#2580C2212yes—
144#2580C2212yes—
145#2580C2212yes—
146#2580C2211yescharacteristic, complemented
147#2580C2211yescharacteristic, complemented
148#2579C2212yes—
149#2579C2212yes—
150#2568C2212yescomplemented
151#2568C2211yescharacteristic, complemented
152#2568C2211yescharacteristic, complemented
153#2566C2212yescomplemented
154#2565C2212yescomplemented
155#2564C2214yes—
156#2563C2212yescomplemented
157#2548C2212yes—
158#2548C2211yescharacteristic, complemented
159#2548C2211yescharacteristic, complemented
160#2545C2212yes—
161#2544C2212yes—
162#2543C2214yes—
163#2541C2212yes—
164#2538C2211yescharacteristic, complemented
165#2538C2211yescharacteristic, complemented
166#2509C2212yescomplemented
167#2508C2212yescomplemented
168#2507C2212yescomplemented
169#2506C2212yescomplemented
170#2505C2214yes—
171#2504C2212yes—
172#2504C2212yes—
173#2504C2212yescomplemented
174#2503C2212yescomplemented
175#2501C2212yes—
176#2500C2212yes—
177#2500C2212yes—
178#2500C2212yescomplemented
179#2499C2212yescomplemented
180#2491C2212yes—
181#2491C2212yes—
182#2490C2212yes—
183#2490C2212yes—
184#2487C2212yes—
185#2473C2214yes—
186#2472C2214yes—
187#2472C2214yes—
188#2454C2212yescomplemented
189#2453C2212yescomplemented
190#2452C2212yescomplemented
191#2451C2212yescomplemented
192#2450C2214yes—
193#2450C2214yes—
194#2448C2212yes—
195#2448C2212yes—
196#2447C2212yes—
197#2447C2212yes—
198#2445C2212yes—
199#2445C2212yes—
200#2445C2212yes—
201#2445C2212yes—
202#2444C2214yes—
203#2444C2214yes—
204#2444C2214yes—
205#2443C2214yes—
206#2442C2212yescomplemented
207#2442C2212yescomplemented
208#2442C2212yescomplemented
209#2441C2212yescomplemented
210#2440C2212yescomplemented
211#2439C2212yescomplemented
212#2439C2212yescomplemented
213#2439C2212yescomplemented
214#2436C2212yes—
215#2429C2212yescomplemented
216#2428C2212yes—
217#2428C2212yes—
218#2428C2212yes—
219#2428C2212yes—
220#2428C2212yes—
221#2428C2212yes—
222#2428C2212yescomplemented
223#2427C2212yes—
224#2427C2212yes—
225#2427C2212yes—
226#2427C2212yes—
227#2427C2212yescomplemented
228#2426C2212yes—
229#2426C2212yes—
230#2426C2212yescomplemented
231#2424C2214yes—
232#2424C2214yes—
233#2424C2214yes—
234#2424C2214yes—
235#2423C2212yescomplemented
236#2422C2212yes—
237#2422C2212yes—
238#2422C2212yescomplemented
239#2421C2212yescomplemented
240#2421C2212yescomplemented
241#2421C2212yescomplemented
242#2420C2212yes—
243#2420C2212yes—
244#2420C2212yescomplemented
245#2420C2212yescomplemented
246#2420C2212yescomplemented
247#2418C2214yes—
248#2418C2214yes—
249#2417C2214yes—
250#2417C2212yescomplemented
251#2416C2212yes—
252#2416C2214yes—
253#2416C2212yes—
254#2416C2212yescomplemented
255#2415C2212yescomplemented
256#2414C2212yes—
257#2414C2212yes—
258#2414C2212yescomplemented
259#2409C2212yes—
260#2398C2212yescomplemented
261#2398C2212yescomplemented
262#2396C2212yescomplemented
263#2396C2212yescomplemented
264C2×#399C2212yes—
265C2×#393C2212yes—
266#2379C2214yescomplemented
267#2377C2214yescomplemented
268#2377C2214yescomplemented
269#2376C2214yescomplemented
270#2317C2211yescharacteristic
271#2317C2211yescharacteristic
272#2317C2211yescharacteristic
273#2316C2211yescharacteristic
274#2311C2211yescharacteristic
275#2311C2211yescharacteristic
276#2311C2211yescharacteristic
277#2309C2211yescharacteristic
278C4×#124C2212yescomplemented
279C4×#124C2212yescomplemented
280C4×C22⋊Q8C2212yescomplemented
281C4×C22⋊Q8C2212yescomplemented
282#2297C2211yescharacteristic
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic
288#2296C2211yescharacteristic
289#2296C2211yescharacteristic
290C2×#390C2211yescharacteristic
291C2×#390C2211yescharacteristic
292C2×#389C2211yescharacteristic
293C2×#389C2211yescharacteristic
294C2×#385C2212yes—
295C2×#385C2212yes—
296#2285C2211yescharacteristic
297C2×#382C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2311yescharacteristic
302C23×Q8C2311yescharacteristic
303C23×D4C2311yescharacteristic
304C24×C4C2312yes—
305#544—44no—
306#537—44no—
307#537—44no—
308#535—44no—
309#535—44no—
310#535—44no—
311#532—44no—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#127C2311yescharacteristic
318C2×#127C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#124C2312yes—
323C2×#124C2314yes—
324C2×#124C2311yescharacteristic
325C2×#124C2311yescharacteristic
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×#121C2314yes—
345C2×#121C2312yes—
346C2×#121C2314yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367C2×#120C2314yes—
368#520—44no—
369#520—44no—
370C4×#41—44no—
371C2×C4×Q8—44no—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2312yes—
384C2×C4×D4—44no—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2314yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2311yescharacteristic
403C2×#117C2311yescharacteristic
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C22×C4⋊C4C2311yescharacteristic
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2311yescharacteristic
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2311yescharacteristic
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2312yes—
417C22×C22⋊C4C2312yes—
418C22×C22⋊C4C2312yes—
419C22×C22⋊C4C2312yes—
420C22×C22⋊C4C2312yes—
421C22×C22⋊C4C2312yes—
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2312yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2312yes—
430#400C2312yes—
431#400C2312yes—
432#400C2312yes—
433#400C2312yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2312yes—
442#399C2314yes—
443#399C2314yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2312yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2312yes—
452#398C2312yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2312yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2312yes—
464#398C2312yes—
465#398C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2314yes—
474#397C2312yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2312yes—
487#397C2312yes—
488#396C2314yes—
489#396C2314yes—
490#396C2312yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2312yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2312yes—
500#396C2312yes—
501#396C2314yes—
502#395C2314yes—
503#395C2312yes—
504#395C2312yes—
505#394C2312yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2312yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2312yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2312yes—
540#393C2312yes—
541#393C2314yes—
542#393C2314yes—
543#393C2314yes—
544#393C2314yes—
545#393C2312yes—
546#393C2314yes—
547#393C2314yes—
548#393C2312yes—
549#393C2312yes—
550#393C2314yes—
551#393C2312yes—
552#393C2312yes—
553#393C2314yes—
554#393C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#391C2311yescharacteristic
563#391C2312yes—
564#391C2312yes—
565#391C2312yes—
566#391C2311yescharacteristic
567#391C2312yes—
568#391C2314yes—
569#391C2311yescharacteristic
570#391C2311yescharacteristic
571#391C2311yescharacteristic
572#391C2311yescharacteristic
573#391C2311yescharacteristic
574#391C2311yescharacteristic
575#391C2314yes—
576#391C2312yes—
577#391C2312yes—
578#391C2311yescharacteristic
579#391C2311yescharacteristic
580#391C2311yescharacteristic
581#391C2311yescharacteristic
582#391C2312yes—
583#391C2314yes—
584#390C2311yescharacteristic
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2311yescharacteristic
591#390C2312yes—
592#390C2312yes—
593#390C2314yes—
594#390C2314yes—
595#390C2314yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2311yescharacteristic
605#390C2311yescharacteristic
606#390C2311yescharacteristic
607#390C2311yescharacteristic
608#390C2311yescharacteristic
609#390C2311yescharacteristic
610#390C2311yescharacteristic
611#390C2311yescharacteristic
612#390C2311yescharacteristic
613#390C2311yescharacteristic
614#390C2314yes—
615#390C2314yes—
616#390C2314yes—
617#390C2312yes—
618#390C2314yes—
619#390C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#389C2314yes—
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#389C2311yescharacteristic
647#389C2314yes—
648#389C2314yes—
649#389C2312yes—
650#389C2312yes—
651#389C2314yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2312yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2312yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#386C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2312yes—
711#386C2312yes—
712#386C2312yes—
713#386C2312yes—
714#386C2312yes—
715#386C2312yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2312yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2312yes—
740#385C2312yes—
741#385C2312yes—
742#385C2312yes—
743#385C2312yes—
744#385C2312yes—
745#385C2312yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#384C2312yes—
753#384C2312yes—
754#384C2312yes—
755#384C2311yescharacteristic
756#384C2311yescharacteristic
757#382C2312yes—
758#382C2312yes—
759#382C2314yes—
760#382C2312yes—
761#382C2312yes—
762#382C2312yes—
763#382C2312yes—
764#382C2312yes—
765#382C2312yes—
766#382C2312yes—
767#382C2311yescharacteristic
768#382C2311yescharacteristic
769#381C2314yes—
770#381C2314yes—
771#381C2314yes—
772#381C2314yes—
773#381C2314yes—
774#380C2314yes—
775#380C2314yes—
776#380C2312yes—
777#380C2314yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2314yes—
786#380C2314yes—
787#380C2314yes—
788#380C2312yes—
789#380C2314yes—
790#380C2312yes—
791#379C2314yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816#376C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C43C2312yes—
822C25C2412yes—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C22×Q8—42no—
833C22×Q8—42no—
834C22×Q8—42no—
835C22×Q8C2411yescharacteristic
836C22×Q8C2411yescharacteristic
837C22×Q8C2411yescharacteristic
838C22×Q8C2411yescharacteristic
839C22×Q8C2411yescharacteristic
840C22×Q8C2411yescharacteristic
841C22×Q8C2411yescharacteristic
842C22×Q8C2414yes—
843C22×D4—24no—
844C22×D4—24no—
845C22×D4—24no—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2411yescharacteristic
851C22×D4C2412yes—
852C22×D4C2411yescharacteristic
853C22×D4C2411yescharacteristic
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C23×C4—44no—
865C23×C4—82no—
866C23×C4—82no—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2411yescharacteristic
877C23×C4C2412yes—
878C23×C4C2411yescharacteristic
879C23×C4C2412yes—
880C23×C4C2414yes—
881C23×C4C2414yes—
882C23×C4C2412yes—
883C23×C4C2414yes—
884C23×C4C2414yes—
885C23×C4C2411yescharacteristic
886C4⋊Q8—44no—
887C4⋊Q8—44no—
888C4⋊Q8—42no—
889#127—42no—
890#127—44no—
891#127—44no—
892#127—44no—
893#125—44no—
894#125—44no—
895#125—84no—
896#124—48no—
897#124—44no—
898#124—42no—
899#124—42no—
900#124—44no—
901#124—44no—
902#124—44no—
903#124—44no—
904#124—84no—
905#123—48no—
906#123—84no—
907#123—84no—
908#123—84no—
909#123—84no—
910C22⋊Q8—48no—
911C22⋊Q8—44no—
912C22⋊Q8—44no—
913C22⋊Q8—44no—
914C22⋊Q8—44no—
915C22⋊Q8—44no—
916C22⋊Q8—44no—
917C22⋊Q8—84no—
918#121—48no—
919#121—48no—
920#121—44no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—44no—
928#121—44no—
929#121—44no—
930#121—44no—
931#121—44no—
932#121—48no—
933#121—48no—
934#121—84no—
935#121—84no—
936#121—84no—
937#121—84no—
938#121—84no—
939#120—48no—
940#120—48no—
941#120—48no—
942C4×Q8—42no—
943C4×Q8—42no—
944C4×Q8—42no—
945C4×Q8—42no—
946C4×Q8—42no—
947C4×Q8—42no—
948C4×Q8—42no—
949C4×Q8—42no—
950C4×Q8—42no—
951C4×Q8—42no—
952C4×Q8—44no—
953C4×Q8—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—42no—
959C4×D4—42no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—44no—
966C4×D4—48no—
967C4×D4—48no—
968#117—24no—
969#117—24no—
970#117—24no—
971#117—24no—
972#117—24no—
973#117—44no—
974#117—44no—
975#117—44no—
976C2×C4⋊C4—24no—
977C2×C4⋊C4—24no—
978C2×C4⋊C4—24no—
979C2×C4⋊C4—44no—
980C2×C4⋊C4—44no—
981C2×C4⋊C4—42no—
982C2×C4⋊C4—42no—
983C2×C4⋊C4—42no—
984C2×C4⋊C4—82no—
985C2×C4⋊C4—82no—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C22⋊C4—44no—
1050C2×C22⋊C4—44no—
1051C2×C22⋊C4—44no—
1052C2×C22⋊C4—82no—
1053C2×C22⋊C4—82no—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C42—24no—
1122C2×C42—24no—
1123C2×C42—24no—
1124C2×C42—44no—
1125C2×C42C2411yescharacteristic
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2414yes—
1144C2×C42C2414yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
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#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212C24—24no—
1213C24—24no—
1214C24—24no—
1215C24—42no—
1216C24—42no—
1217C24—42no—
1218C24—42no—
1219C24C2514yes—
1220C24C2512yes—
1221C24C2512yes—
1222C24C2512yes—
1223C24C2511yescharacteristic
1224#41—416no—
1225#41—416no—
1226#41—416no—
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—22no—
1230C2×Q8—22no—
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—22no—
1238C2×Q8—22no—
1239C2×Q8—22no—
1240C2×Q8—41no—
1241C2×Q8—41no—
1242C2×Q8—41no—
1243C2×Q8—41no—
1244C2×Q8—41no—
1245C2×Q8—41no—
1246C2×Q8—41no—
1247C2×Q8—41no—
1248C2×Q8—44no—
1249C2×Q8—44no—
1250C2×Q8—44no—
1251C2×Q8—416no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—24no—
1265C2×D4—22no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—24no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—416no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—24no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—41no—
1343C22×C4—41no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—42no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—816no—
1362C22×C4H(5,𝔽2)14yes—
1363C22×C4H(5,𝔽2)14yes—
1364C22×C42−1+414yes—
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2512yes—
1379C22×C4C2514yes—
1380C22×C4C2514yes—
1381C22×C4C2514yes—
1382C22×C4C2511yescharacteristic
1383C22×C4C2512yes—
1384C22×C4C2512yes—
1385C22×C4C2512yes—
1386C22×C4C2511yescharacteristic
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2511yescharacteristic
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—41no—
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—41no—
1420C4⋊C4—41no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—41no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—42no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—42no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—42no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—28no—
1464C22⋊C4—28no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—42no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—22no—
1534C42—22no—
1535C42—22no—
1536C42—22no—
1537C42—24no—
1538C42—24no—
1539C42—24no—
1540C42—24no—
1541C42—24no—
1542C42—24no—
1543C42—42no—
1544C42—42no—
1545C42—44no—
1546C42—44no—
1547C42—42no—
1548C42—42no—
1549C42—42no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—24no—
1558C23—24no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—24no—
1566C23—22no—
1567C23—24no—
1568C23—24no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—24no—
1579C23—24no—
1580C23—22no—
1581C23—22no—
1582C23—48no—
1583C23—48no—
1584C23—48no—
1585C23—84no—
1586C23—84no—
1587C23—84no—
1588C23—84no—
1589C23C2×H(5,𝔽2)12yes—
1590C23C2×H(5,𝔽2)12yes—
1591C23C2×2−1+412yes—
1592C23C2611yescharacteristic
1593Q8—44no—
1594Q8—44no—
1595Q8—44no—
1596Q8—44no—
1597Q8—44no—
1598Q8—44no—
1599Q8—44no—
1600Q8—164no—
1601D4—48no—
1602D4—48no—
1603D4—48no—
1604D4—48no—
1605D4—48no—
1606D4—44no—
1607D4—44no—
1608D4—44no—
1609D4—84no—
1610D4—84no—
1611D4—164no—
1612D4—164no—
1613D4—164no—
1614D4—164no—
1615D4—164no—
1616D4—164no—
1617D4—164no—
1618D4—164no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—24no—
1645C2×C4—24no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—24no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—24no—
1660C2×C4—22no—
1661C2×C4—24no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—24no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—24no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—24no—
1698C2×C4—24no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—44no—
1702C2×C4—44no—
1703C2×C4—44no—
1704C2×C4—44no—
1705C2×C4—48no—
1706C2×C4—48no—
1707C2×C4—48no—
1708C2×C4—84no—
1709C2×C4—82no—
1710C2×C4—82no—
1711C2×C4—84no—
1712C2×C4—84no—
1713C2×C4—84no—
1714C2×C4—84no—
1715C2×C4—88no—
1716C2×C4—88no—
1717C2×C4—164no—
1718C2×C4—164no—
1719C2×C4#562116yes—
1720C2×C4C2×H(5,𝔽2)12yes—
1721C2×C4C2×H(5,𝔽2)12yes—
1722C2×C4C2×H(5,𝔽2)12yes—
1723C2×C4C2×H(5,𝔽2)12yes—
1724C2×C4C2×2−1+412yes—
1725C2×C4C2×2−1+412yes—
1726C2×C4#58512yes—
1727C2×C4#58512yes—
1728C22—22no—
1729C22—22no—
1730C22—22no—
1731C22—22no—
1732C22—22no—
1733C22—22no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—44no—
1738C22—44no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—44no—
1749C22—44no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—44no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—44no—
1761C22—44no—
1762C22—816no—
1763C22C2×#56214yes—
1764C22C22×H(5,𝔽2)11yescharacteristic
1765C22C22×H(5,𝔽2)11yescharacteristic
1766C22C22×2−1+411yescharacteristic
1767C22C2×#58511yescharacteristic
1768C22C2×#58511yescharacteristic
1769C22H(7,𝔽2)11yescharacteristic
1770C22H(7,𝔽2)11yescharacteristic
1771C4—22no—
1772C4—22no—
1773C4—41no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—42no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—44no—
1784C4—41no—
1785C4—42no—
1786C4—42no—
1787C4—42no—
1788C4—42no—
1789C4—42no—
1790C4—42no—
1791C4—44no—
1792C4—44no—
1793C4—42no—
1794C4—42no—
1795C4—42no—
1796C4—42no—
1797C4—42no—
1798C4—42no—
1799C4C2×#56214yes—
1800C4C2×#56214yes—
1801C2—24no—
1802C2—82no—
1803C2—82no—
1804C2—82no—
1805C2—84no—
1806C2C22×#56211yescharacteristic
1807C2#6282111yescharacteristic
1808C2#6287411yescharacteristic
1809C2#6292611yescharacteristic
1810C2#6292611yescharacteristic
1811C2#6296111yescharacteristic
1812C2#6296111yescharacteristic
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. #53138C2semidirect
2. #53127C2semidirect
3. #53115C2semidirect
4. #53106C2semidirect
5. #53079C2semidirect
6. #52985C2semidirect
7. #52984C2semidirect
8. #52979C2semidirect
9. #52425C2semidirect
10. #52317C2semidirect
11. #46104C2semidirect
12. #46072C2semidirect
13. #46042C2semidirect
14. #46015C2semidirect
15. #45718C2semidirect
16. #45619C2semidirect
17. #45610C2semidirect
18. #45560C2semidirect
19. #45530C2semidirect
20. #45516C2semidirect
21. #35620C2semidirect
22. #35618C2semidirect
23. #35575C2semidirect
24. #35564C2semidirect
25. #35533C2semidirect
26. #35531C2semidirect
27. #35265C2semidirect
28. #35264C2semidirect
29. #35256C2semidirect
30. #35255C2semidirect
31. #35168C2semidirect
32. #35152C2semidirect
33. #34955C2semidirect
34. #34952C2semidirect
35. C2×#2580C2semidirect
48. #2864C22semidirect
50. #2859C22semidirect
53. #2855C22semidirect
54. #2854C22semidirect
58. #2837C22semidirect
59. #2837C22semidirect
60. #2836C22semidirect
61. #2832C22semidirect
62. #2832C22semidirect
63. #2831C22semidirect
64. #2830C22semidirect
65. #2829C22semidirect
66. #2829C22semidirect
67. #2827C22semidirect
68. #2827C22semidirect
69. #2827C22semidirect
70. #2826C22semidirect
71. #2824C22semidirect
72. #2824C22semidirect
73. #2824C22semidirect
74. #2819C22semidirect
75. #2816C22semidirect
76. #2816C22semidirect
77. #2813C22semidirect
78. #2808C22semidirect
79. #2798C22semidirect
80. #2788C22semidirect
81. #2786C22semidirect
82. #2768C22semidirect
83. #2761C22semidirect
84. #2754C22semidirect
85. #2751C22semidirect
86. #2751C22semidirect
87. #2750C22semidirect
88. #2750C22semidirect
89. #2744C22semidirect
90. #2743C22semidirect
91. #2741C22semidirect
92. #2740C22semidirect
93. #2739C22semidirect
94. #2730C22semidirect
95. #2711C22semidirect
96. #2711C22semidirect
97. #2710C22semidirect
98. #2710C22semidirect
99. #2710C22semidirect
100. #2708C22semidirect
101. #2708C22semidirect
102. #2706C22semidirect
103. #2701C22semidirect
104. #2701C22semidirect
105. #2700C22semidirect
106. #2696C22semidirect
107. #2694C22semidirect
108. #2694C22semidirect
109. #2687C22semidirect
110. #2686C22semidirect
111. #2686C22semidirect
112. #2682C22semidirect
113. #2676C22semidirect
114. #2676C22semidirect
115. #2671C22semidirect
116. #2671C22semidirect
117. #2671C22semidirect
118. #2647C22semidirect
119. #2647C22semidirect
122. #2625C22semidirect
123. #2624C22semidirect
128. #2592C22semidirect
129. #2592C22semidirect
130. #2592C22semidirect
131. #2592C22semidirect
134. #2582C22semidirect
135. #2582C22semidirect
136. #2581C22semidirect
137. #2581C22semidirect
146. #2580C22semidirect
147. #2580C22semidirect
150. #2568C22semidirect
151. #2568C22semidirect
152. #2568C22semidirect
153. #2566C22semidirect
154. #2565C22semidirect
156. #2563C22semidirect
158. #2548C22semidirect
159. #2548C22semidirect
164. #2538C22semidirect
165. #2538C22semidirect
166. #2509C22semidirect
167. #2508C22semidirect
168. #2507C22semidirect
169. #2506C22semidirect
173. #2504C22semidirect
174. #2503C22semidirect
178. #2500C22semidirect
179. #2499C22semidirect
188. #2454C22semidirect
189. #2453C22semidirect
190. #2452C22semidirect
191. #2451C22semidirect
206. #2442C22semidirect
207. #2442C22semidirect
208. #2442C22semidirect
209. #2441C22semidirect
210. #2440C22semidirect
211. #2439C22semidirect
212. #2439C22semidirect
213. #2439C22semidirect
215. #2429C22semidirect
222. #2428C22semidirect
227. #2427C22semidirect
230. #2426C22semidirect
235. #2423C22semidirect
238. #2422C22semidirect
239. #2421C22semidirect
240. #2421C22semidirect
241. #2421C22semidirect
244. #2420C22semidirect
245. #2420C22semidirect
246. #2420C22semidirect
250. #2417C22semidirect
254. #2416C22semidirect
255. #2415C22semidirect
258. #2414C22semidirect
260. #2398C22semidirect
261. #2398C22semidirect
262. #2396C22semidirect
263. #2396C22semidirect
266. #2379C22semidirect
267. #2377C22semidirect
268. #2377C22semidirect
269. #2376C22semidirect
278. C4×#124C22semidirect
279. C4×#124C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect

Maximal subgroups

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

subgroupindex
#531382
#531272
#531152
#531062
#530792
#529852
#529842
#529792
#524252
#523172
#461042
#460722
#460422
#460152
#457182
#456192
#456102
#455602
#455302
#455162
#356202
#356182
#355752
#355642
#355332
#355312
#352652
#352642
#352562
#352552
#351682
#351522
#349552
#349522
C2×#25802