Finite Group Databasebeta

← #8107460

Subgroups — #8107460

Order 512.

5813 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53102C212yesmaximal, complemented
2#53096C212yesmaximal, complemented
3#52536C214yesmaximal, complemented
4#52484C214yesmaximal, complemented
5#44979C211yesmaximal, characteristic, complemented
6#44933C211yesmaximal, characteristic, complemented
7#44932C211yesmaximal, characteristic, complemented
8#44931C211yesmaximal, characteristic, complemented
9#43160C214yesmaximal, complemented
10#43113C214yesmaximal, complemented
11#42876C211yesmaximal, characteristic, complemented
12#42646C211yesmaximal, characteristic, complemented
13#42515C212yesmaximal, complemented
14#42483C212yesmaximal, complemented
15#42430C211yesmaximal, characteristic, complemented
16#42428C211yesmaximal, characteristic, complemented
17#41246C214yesmaximal, complemented
18#41041C214yesmaximal, complemented
19#40524C214yesmaximal, complemented
20#40501C214yesmaximal, complemented
21#36536C211yesmaximal, characteristic, complemented
22#36498C211yesmaximal, characteristic, complemented
23#36455C212yesmaximal, complemented
24#36412C211yesmaximal, characteristic, complemented
25#36360C212yesmaximal, complemented
26#36260C211yesmaximal, characteristic, complemented
27#35276C211yesmaximal, characteristic, complemented
28#35268C211yesmaximal, characteristic, complemented
29#35038C212yesmaximal, complemented
30#35007C212yesmaximal, complemented
31#34547C211yesmaximal, characteristic, complemented
32C2×#555C2211yescharacteristic, complemented
33C2×#550C2211yescharacteristic
34C2×#550C2214yescomplemented
35C2×#550C2212yescomplemented
36C2×#547C2211yescharacteristic
37C2×#546C2212yes—
38C2×#546C2214yes—
39C2×D42C2211yescharacteristic
40C2×#542C2211yescharacteristic, complemented
41C2×#540C2211yescharacteristic
42C2×#538C2214yescomplemented
43C2×C4×#41C2212yescomplemented
44#2864C2211yescharacteristic, complemented
45#2861C2211yescharacteristic, complemented
46#2860C2212yescomplemented
47#2858C2211yescharacteristic
48#2858C2211yescharacteristic
49#2856C2212yes—
50#2856C2212yescomplemented
51#2856C2211yescharacteristic, complemented
52#2855C2212yescomplemented
53#2854C2212yes—
54#2850C2211yescharacteristic
55#2837C2214yescomplemented
56#2829C2214yescomplemented
57#2828C2214yescomplemented
58#2826C2214yescomplemented
59#2818C2212yescomplemented
60#2818C2214yescomplemented
61#2815C2212yes—
62#2815C2214yescomplemented
63#2814C2212yescomplemented
64#2813C2212yescomplemented
65#2813C2214yescomplemented
66#2813C2214yescomplemented
67#2813C2214yescomplemented
68#2812C2214yescomplemented
69#2777C2214yescomplemented
70#2756C2214yescomplemented
71#2748C2214yescomplemented
72#2742C2214yescomplemented
73#2738C2214yescomplemented
74#2730C2214yescomplemented
75#2709C2214yescomplemented
76#2703C2214yescomplemented
77#2703C2214yescomplemented
78#2701C2214yescomplemented
79#2695C2214yescomplemented
80#2693C2214yescomplemented
81#2689C2214yescomplemented
82#2685C2214yescomplemented
83#2678C2214yes—
84#2678C2214yescomplemented
85#2676C2214yescomplemented
86#2676C2214yescomplemented
87#2673C2214yescomplemented
88#2673C2214yescomplemented
89#2673C2214yescomplemented
90#2672C2214yescomplemented
91#2672C2214yescomplemented
92#2672C2214yescomplemented
93#2671C2214yes—
94#2671C2214yescomplemented
95#2671C2214yescomplemented
96#2669C2214yes—
97#2669C2214yes—
98#2669C2214yescomplemented
99#2669C2214yescomplemented
100#2669C2214yescomplemented
101#2663C2214yescomplemented
102#2662C2214yescomplemented
103#2661C2212yes—
104#2661C2214yescomplemented
105#2660C2211yescharacteristic, complemented
106#2659C2212yescomplemented
107#2657C2211yescharacteristic
108#2657C2212yescomplemented
109#2656C2212yescomplemented
110#2648C2214yescomplemented
111#2635C2214yescomplemented
112#2632C2214yescomplemented
113#2631C2212yescomplemented
114#2628C2211yescharacteristic, complemented
115#2624C2212yescomplemented
116#2624C2212yescomplemented
117#2620C2211yescharacteristic, complemented
118#2619C2211yescharacteristic
119#2619C2211yescharacteristic
120#2617C2214yescomplemented
121#2616C2212yes—
122#2615C2214yescomplemented
123#2613C2212yes—
124#2604C2214yescomplemented
125#2603C2212yescomplemented
126#2600C2214yes—
127#2597C2214yescomplemented
128#2595C2214yescomplemented
129#2592C2212yes—
130#2580C2212yescomplemented
131#2578C2214yescomplemented
132#2577C2214yescomplemented
133#2567C2211yescharacteristic, complemented
134#2559C2214yescomplemented
135#2555C2214yescomplemented
136#2555C2214yescomplemented
137#2555C2214yescomplemented
138#2555C2214yescomplemented
139#2554C2214yescomplemented
140#2554C2214yescomplemented
141#2542C2211yescharacteristic
142#2541C2211yescharacteristic
143#2541C2212yes—
144#2541C2211yescharacteristic
145#2541C2212yescomplemented
146#2541C2212yescomplemented
147#2540C2214yes—
148#2539C2214yes—
149#2539C2214yes—
150#2537C2212yes—
151#2537C2212yescomplemented
152#2537C2212yescomplemented
153#2536C2211yescharacteristic
154#2535C2211yescharacteristic
155#2535C2211yescharacteristic
156#2535C2211yescharacteristic, complemented
157#2521C2214yescomplemented
158#2516C2214yescomplemented
159#2512C2212yes—
160#2511C2212yescomplemented
161#2501C2212yes—
162#2500C2212yescomplemented
163#2498C2212yescomplemented
164#2497C2212yescomplemented
165#2495C2212yescomplemented
166#2491C2212yescomplemented
167#2490C2212yes—
168#2476C2214yescomplemented
169#2472C2214yescomplemented
170#2471C2214yescomplemented
171#2471C2214yescomplemented
172#2467C2214yescomplemented
173#2467C2214yescomplemented
174#2465C2214yescomplemented
175#2464C2214yescomplemented
176#2461C2214yescomplemented
177#2459C2214yescomplemented
178#2458C2214yescomplemented
179#2458C2214yescomplemented
180#2457C2214yescomplemented
181#2456C2214yescomplemented
182#2456C2214yescomplemented
183#2456C2214yescomplemented
184#2445C2212yescomplemented
185#2445C2212yescomplemented
186#2441C2212yescomplemented
187#2440C2212yescomplemented
188#2433C2212yes—
189#2433C2212yes—
190#2433C2212yes—
191#2431C2214yes—
192#2431C2212yescomplemented
193#2431C2212yescomplemented
194#2430C2212yes—
195#2430C2214yescomplemented
196#2430C2214yescomplemented
197#2428C2212yes—
198#2428C2212yes—
199#2428C2214yescomplemented
200#2428C2214yescomplemented
201#2428C2214yescomplemented
202#2428C2214yescomplemented
203#2427C2212yescomplemented
204#2427C2212yescomplemented
205#2424C2214yescomplemented
206#2418C2214yes—
207#2418C2214yescomplemented
208#2417C2212yescomplemented
209#2416C2212yescomplemented
210#2414C2212yes—
211#2414C2214yescomplemented
212#2414C2214yescomplemented
213#2414C2214yescomplemented
214#2414C2212yescomplemented
215#2410C2214yes—
216#2408C2212yes—
217#2408C2212yes—
218#2407C2212yes—
219#2407C2212yescomplemented
220#2404C2214yescomplemented
221#2404C2214yescomplemented
222#2399C2211yescharacteristic, complemented
223#2398C2212yescomplemented
224#2397C2211yescharacteristic
225#2396C2212yescomplemented
226#2396C2212yescomplemented
227#2395C2212yescomplemented
228#2395C2212yescomplemented
229#2392C2212yes—
230#2392C2211yescharacteristic
231#2392C2212yescomplemented
232#2392C2212yescomplemented
233#2392C2211yescharacteristic, complemented
234#2388C2212yes—
235#2388C2212yescomplemented
236#2364C2214yescomplemented
237#2363C2214yescomplemented
238#2358C2214yescomplemented
239#2357C2211yescharacteristic
240#2356C2211yescharacteristic, complemented
241#2353C2214yescomplemented
242#2352C2212yescomplemented
243Q8×C4⋊C4C2212yescomplemented
244#2349C2211yescharacteristic, complemented
245#2349C2211yescharacteristic, complemented
246#2342C2214yescomplemented
247#2341C2214yescomplemented
248#2335C2214yescomplemented
249#2333C2214yescomplemented
250#2331C2211yescharacteristic, complemented
251#2328C2211yescharacteristic
252#2328C2211yescharacteristic, complemented
253#2326C2211yescharacteristic
254#2321C2214yescomplemented
255#2319C2212yescomplemented
256C4×#127C2211yescharacteristic
257C4×#124C2211yescharacteristic, complemented
258C4×#121C2212yescomplemented
259C4×#121C2212yescomplemented
260C4×#121C2212yescomplemented
261#2297C2212yescomplemented
262C2×#390C2212yes—
263C42×D4C2211yescharacteristic
264C42×D4C2211yescharacteristic, complemented
265C42×D4C2212yescomplemented
266C4×#117C2211yescharacteristic, complemented
267C22×#41C2312yes—
268C22×#41C2314yes—
269C22×#41C2312yes—
270C22×#41C2312yes—
271C23×D4C2312yes—
272C23×D4C2312yes—
273#555—44no—
274#550—44no—
275#550—48no—
276#550—416no—
277#547—44no—
278#546—416no—
279#546—48no—
280D42—44no—
281#542—44no—
282#540—44no—
283#538—416no—
284C2×C4⋊Q8C2311yescharacteristic
285C2×C4⋊Q8C2311yescharacteristic
286C2×#127C2311yescharacteristic
287C2×#127C2311yescharacteristic
288C2×#127C2311yescharacteristic
289C2×#127C2312yes—
290C2×#127C2314yes—
291C2×#127C2312yes—
292C2×#127C2312yes—
293C2×#127C2311yescharacteristic
294C2×#127C2314yes—
295C2×#127C2314yes—
296C2×#126C2312yes—
297C2×#126C2314yes—
298C2×#126C2314yes—
299C2×#125C2311yescharacteristic
300C2×#124C2311yescharacteristic
301C2×#124C2314yes—
302C2×#124C2314yes—
303C2×#124C2311yescharacteristic
304C2×#124C2311yescharacteristic
305C2×#124C2312yes—
306C2×#124C2314yes—
307C2×#124C2314yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×#123C2312yes—
311C2×#123C2314yes—
312C2×#123C2314yes—
313C2×#123C2314yes—
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×#123C2312yes—
317C2×#123C2312yes—
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2314yes—
324C2×#121C2314yes—
325C2×#121C2311yescharacteristic
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2314yes—
330C2×#121C2311yescharacteristic
331C2×#121C2311yescharacteristic
332C2×#121C2314yes—
333C2×#121C2312yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2312yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2314yes—
346C2×#121C2312yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#120C2314yes—
358C2×#120C2314yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361C2×#120C2314yes—
362C2×#120C2314yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365C4×#41—48no—
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2314yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2314yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×#117C2311yescharacteristic
395C2×#117C2312yes—
396C2×#117C2312yes—
397C2×#117C2312yes—
398C2×#117C2311yescharacteristic
399C2×#117C2312yes—
400C2×#117C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C22⋊C4C2314yes—
403C22×C22⋊C4C2314yes—
404C22×C22⋊C4C2314yes—
405C22×C42C2311yescharacteristic
406C22×C42C2312yes—
407C22×C42C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2312yes—
414#400C2312yes—
415#399C2314yes—
416#399C2314yes—
417#399C2312yes—
418#399C2312yes—
419#399C2314yes—
420#399C2312yes—
421#399C2314yes—
422#399C2314yes—
423#399C2312yes—
424#399C2312yes—
425#398C2314yes—
426#398C2312yes—
427#398C2314yes—
428#398C2314yes—
429#398C2311yescharacteristic
430#398C2312yes—
431#398C2311yescharacteristic
432#398C2312yes—
433#398C2312yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2312yes—
439#397C2314yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2312yes—
445#397C2312yes—
446#397C2312yes—
447#397C2311yescharacteristic
448#397C2311yescharacteristic
449#396C2314yes—
450#396C2314yes—
451#396C2312yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2312yes—
456#396C2312yes—
457#396C2312yes—
458#396C2314yes—
459#395C2312yes—
460#395C2312yes—
461#395C2312yes—
462#395C2312yes—
463#395C2314yes—
464#395C2314yes—
465#395C2312yes—
466#394C2312yes—
467#394C2311yescharacteristic
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2312yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2311yescharacteristic
491#394C2312yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2312yes—
500#394C2312yes—
501#394C2312yes—
502#394C2312yes—
503#394C2312yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2312yes—
510#393C2312yes—
511#393C2314yes—
512#393C2312yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2312yes—
517#392C2314yes—
518#392C2314yes—
519#392C2312yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2312yes—
528#392C2312yes—
529#392C2314yes—
530#392C2312yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2312yes—
537#392C2312yes—
538#392C2314yes—
539#392C2314yes—
540#392C2311yescharacteristic
541#392C2312yes—
542#392C2312yes—
543#392C2311yescharacteristic
544#392C2312yes—
545#392C2312yes—
546#392C2314yes—
547#392C2314yes—
548#392C2312yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#391C2312yes—
553#391C2311yescharacteristic
554#391C2314yes—
555#391C2312yes—
556#391C2311yescharacteristic
557#390C2311yescharacteristic
558#390C2314yes—
559#390C2311yescharacteristic
560#390C2314yes—
561#390C2314yes—
562#390C2312yes—
563#390C2312yes—
564#390C2314yes—
565#390C2314yes—
566#390C2312yes—
567#390C2312yes—
568#390C2311yescharacteristic
569#390C2312yes—
570#390C2311yescharacteristic
571#390C2311yescharacteristic
572#390C2314yes—
573#390C2314yes—
574#390C2314yes—
575#390C2312yes—
576#390C2312yes—
577#390C2314yes—
578#390C2314yes—
579#390C2314yes—
580#390C2314yes—
581#390C2312yes—
582#390C2311yescharacteristic
583#390C2314yes—
584#390C2314yes—
585#390C2314yes—
586#390C2314yes—
587#389C2314yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2314yes—
593#389C2312yes—
594#389C2314yes—
595#389C2312yes—
596#389C2314yes—
597#389C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#384C2311yescharacteristic
677#384C2312yes—
678#384C2311yescharacteristic
679#384C2312yes—
680#383C2314yes—
681#383C2312yes—
682#382C2311yescharacteristic
683#382C2311yescharacteristic
684#382C2311yescharacteristic
685#382C2311yescharacteristic
686#381C2314yes—
687#381C2314yes—
688#381C2312yes—
689#380C2314yes—
690#380C2314yes—
691#380C2312yes—
692#380C2314yes—
693#380C2314yes—
694#380C2314yes—
695#380C2314yes—
696#380C2314yes—
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#379C2314yes—
704#379C2314yes—
705C4×C4⋊C4C2311yescharacteristic
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2311yescharacteristic
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2314yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2312yes—
739#376C2311yescharacteristic
740#376C2311yescharacteristic
741#376C2312yes—
742C2×#95C2312yes—
743C2×#95C2312yes—
744C43C2311yescharacteristic
745C43C2311yescharacteristic
746C25C2414yes—
747C2×#41—28no—
748C2×#41—48no—
749C2×#41—44no—
750C2×#41—44no—
751C2×#41—44no—
752C2×#41—44no—
753C2×#41—44no—
754C2×#41—48no—
755C2×#41—48no—
756C2×#41—44no—
757C2×#41—48no—
758C22×Q8C2412yes—
759C22×Q8C2411yescharacteristic
760C22×Q8C2412yes—
761C22×Q8C2412yes—
762C22×D4—44no—
763C22×D4—44no—
764C22×D4—44no—
765C22×D4—44no—
766C22×D4—48no—
767C22×D4C2411yescharacteristic
768C22×D4C2411yescharacteristic
769C22×D4C2411yescharacteristic
770C22×D4C2411yescharacteristic
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2412yes—
774C22×D4C2412yes—
775C22×D4C2411yescharacteristic
776C22×D4C2412yes—
777C22×D4C2414yes—
778C22×D4C2412yes—
779C22×D4C2414yes—
780C22×D4C2414yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2412yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2412yes—
790C22×D4C2412yes—
791C22×D4C2412yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2414yes—
795C22×D4C2414yes—
796C22×D4C2414yes—
797C22×D4C2414yes—
798C22×D4C2412yes—
799C22×D4C2412yes—
800C23×C4C2412yes—
801C23×C4C2411yescharacteristic
802C23×C4C2412yes—
803C23×C4C2412yes—
804C23×C4C2412yes—
805C23×C4C2414yes—
806C23×C4C2412yes—
807C23×C4C2414yes—
808C23×C4C2412yes—
809C23×C4C2412yes—
810C23×C4C2412yes—
811C23×C4C2412yes—
812C23×C4C2414yes—
813C23×C4C2414yes—
814C23×C4C2414yes—
815C23×C4C2412yes—
816C4⋊Q8—24no—
817C4⋊Q8—42no—
818#127—24no—
819#127—24no—
820#127—42no—
821#127—42no—
822#127—44no—
823#127—44no—
824#127—48no—
825#127—44no—
826#127—48no—
827#127—48no—
828#126—48no—
829#126—48no—
830#126—44no—
831#125—42no—
832#124—24no—
833#124—48no—
834#124—48no—
835#124—44no—
836#124—48no—
837#124—42no—
838#124—42no—
839#124—48no—
840#123—48no—
841#123—48no—
842#123—48no—
843#123—48no—
844#123—48no—
845#123—48no—
846#123—44no—
847#123—44no—
848#123—44no—
849#123—48no—
850C22⋊Q8—48no—
851C22⋊Q8—48no—
852C22⋊Q8—44no—
853C22⋊Q8—42no—
854C22⋊Q8—44no—
855C22⋊Q8—44no—
856#121—216no—
857#121—48no—
858#121—48no—
859#121—48no—
860#121—44no—
861#121—44no—
862#121—48no—
863#121—48no—
864#121—48no—
865#121—48no—
866#121—48no—
867#121—48no—
868#121—48no—
869#121—48no—
870#121—48no—
871#121—48no—
872#121—48no—
873#121—44no—
874#121—44no—
875#121—44no—
876#121—42no—
877#121—42no—
878#121—42no—
879#121—44no—
880#121—44no—
881#121—44no—
882#121—44no—
883#121—48no—
884#121—44no—
885#121—48no—
886#121—44no—
887#121—44no—
888#121—48no—
889#120—48no—
890#120—48no—
891#120—48no—
892#120—48no—
893#120—48no—
894#120—48no—
895#120—48no—
896#120—48no—
897C4×Q8—28no—
898C4×Q8—24no—
899C4×Q8—44no—
900C4×Q8—48no—
901C4×D4—28no—
902C4×D4—216no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—24no—
906C4×D4—24no—
907C4×D4—24no—
908C4×D4—24no—
909C4×D4—28no—
910C4×D4—24no—
911C4×D4—48no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—48no—
924C4×D4—48no—
925#117—24no—
926#117—42no—
927#117—44no—
928#117—44no—
929#117—44no—
930#117—44no—
931#117—44no—
932C2×C4⋊C4—44no—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C22⋊C4—216no—
977C2×C22⋊C4—48no—
978C2×C22⋊C4—48no—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C42—24no—
1052C2×C42—44no—
1053C2×C42—44no—
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2414yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2414yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2411yescharacteristic
1091#95C2412yes—
1092#95C2411yescharacteristic
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120C24—28no—
1121C24—44no—
1122C24—44no—
1123C24—44no—
1124C24—44no—
1125C24—44no—
1126C24—44no—
1127C24C2512yes—
1128C24C2514yes—
1129C24C2511yescharacteristic
1130C24C2512yes—
1131C24C2512yes—
1132C24C2512yes—
1133C24C2512yes—
1134#41—432no—
1135#41—816no—
1136#41—816no—
1137#41—832no—
1138C2×Q8—24no—
1139C2×Q8—24no—
1140C2×Q8—22no—
1141C2×Q8—22no—
1142C2×Q8—24no—
1143C2×Q8—24no—
1144C2×Q8—22no—
1145C2×Q8—44no—
1146C2×Q8—44no—
1147C2×Q8—42no—
1148C2×D4—24no—
1149C2×D4—24no—
1150C2×D4—24no—
1151C2×D4—24no—
1152C2×D4—28no—
1153C2×D4—28no—
1154C2×D4—28no—
1155C2×D4—22no—
1156C2×D4—24no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—24no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—24no—
1168C2×D4—28no—
1169C2×D4—24no—
1170C2×D4—28no—
1171C2×D4—24no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—24no—
1175C2×D4—22no—
1176C2×D4—28no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—42no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—42no—
1222C2×D4—44no—
1223C2×D4—42no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—816no—
1239C2×D4—816no—
1240C22×C4—28no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—28no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—28no—
1260C22×C4—24no—
1261C22×C4—28no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4H(5,𝔽2)18yes—
1285C22×C4C2514yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2514yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2514yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—28no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—28no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—28no—
1355C22⋊C4—28no—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—24no—
1360C22⋊C4—28no—
1361C22⋊C4—28no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—28no—
1369C22⋊C4—28no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—28no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—28no—
1378C22⋊C4—28no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C42—22no—
1425C42—24no—
1426C42—24no—
1427C42—24no—
1428C42—22no—
1429C42—24no—
1430C42—28no—
1431C42—24no—
1432C42—24no—
1433C42—22no—
1434C42—22no—
1435C42—42no—
1436C42—42no—
1437C42—42no—
1438C42—42no—
1439C42—44no—
1440C42—42no—
1441C42—42no—
1442C42—44no—
1443C42—44no—
1444C42H(5,𝔽2)14yes—
1445C42H(5,𝔽2)14yes—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—24no—
1453C23—24no—
1454C23—21no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—24no—
1461C23—22no—
1462C23—24no—
1463C23—22no—
1464C23—24no—
1465C23—24no—
1466C23—21no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—24no—
1472C23—24no—
1473C23—22no—
1474C23—24no—
1475C23—22no—
1476C23—21no—
1477C23—22no—
1478C23—24no—
1479C23—22no—
1480C23—22no—
1481C23—24no—
1482C23—24no—
1483C23—24no—
1484C23—22no—
1485C23—22no—
1486C23—88no—
1487C23—88no—
1488C23—88no—
1489C23—88no—
1490C23—88no—
1491C23—164no—
1492C23—164no—
1493C23C2×H(5,𝔽2)14yes—
1494C23C2611yescharacteristic
1495Q8—216no—
1496Q8—44no—
1497Q8—84no—
1498Q8—162no—
1499D4—28no—
1500D4—48no—
1501D4—48no—
1502D4—44no—
1503D4—48no—
1504D4—48no—
1505D4—44no—
1506D4—44no—
1507D4—44no—
1508D4—48no—
1509D4—84no—
1510D4—84no—
1511D4—88no—
1512D4—88no—
1513D4—88no—
1514D4—88no—
1515D4—88no—
1516D4—88no—
1517D4—88no—
1518D4—88no—
1519D4—88no—
1520D4—88no—
1521D4—88no—
1522D4—164no—
1523D4—164no—
1524D4—164no—
1525D4—162no—
1526D4—164no—
1527D4—162no—
1528D4—164no—
1529D4—162no—
1530D4—162no—
1531D4—162no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—24no—
1560C2×C4—24no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—24no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—48no—
1588C2×C4—48no—
1589C2×C4—48no—
1590C2×C4—44no—
1591C2×C4—48no—
1592C2×C4—48no—
1593C2×C4—84no—
1594C2×C4—84no—
1595C2×C4—84no—
1596C2×C4—84no—
1597C2×C4—88no—
1598C2×C4—88no—
1599C2×C4—88no—
1600C2×C4—84no—
1601C2×C4—88no—
1602C2×C4—88no—
1603C2×C4C2×H(5,𝔽2)12yes—
1604C2×C4C2×H(5,𝔽2)14yes—
1605C2×C4C2×H(5,𝔽2)14yes—
1606C2×C4C2×H(5,𝔽2)14yes—
1607C2×C4C2×H(5,𝔽2)12yes—
1608C2×C4C2×H(5,𝔽2)12yes—
1609C2×C4C2×H(5,𝔽2)12yes—
1610C2×C4#58514yes—
1611C2×C4#58512yes—
1612C22—24no—
1613C22—24no—
1614C22—24no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—41no—
1621C22—44no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—44no—
1627C22—42no—
1628C22—42no—
1629C22—44no—
1630C22—44no—
1631C22—44no—
1632C22—44no—
1633C22—42no—
1634C22—42no—
1635C22—44no—
1636C22—44no—
1637C22—44no—
1638C22—42no—
1639C22—44no—
1640C22—44no—
1641C22—42no—
1642C22—42no—
1643C22—44no—
1644C22—41no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—44no—
1650C22—41no—
1651C22—42no—
1652C22—42no—
1653C22—1616no—
1654C22C22×H(5,𝔽2)11yescharacteristic
1655C22C22×H(5,𝔽2)11yescharacteristic
1656C22C22×H(5,𝔽2)12yes—
1657C22C2×#58511yescharacteristic
1658C22C2×#58512yes—
1659C4—24no—
1660C4—24no—
1661C4—24no—
1662C4—24no—
1663C4—22no—
1664C4—22no—
1665C4—41no—
1666C4—42no—
1667C4—42no—
1668C4—42no—
1669C4—42no—
1670C4—42no—
1671C4—44no—
1672C4—44no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4—42no—
1677C4—44no—
1678C4—42no—
1679C4—41no—
1680C4—42no—
1681C4—41no—
1682C4#354614yes—
1683C2—44no—
1684C2—82no—
1685C2—81no—
1686C2—82no—
1687C2—82no—
1688C2—84no—
1689C2—82no—
1690C2C2×#354611yescharacteristic
1691C2#6275912yes—
1692C2#6281812yes—
1693C2#6283211yescharacteristic
1694C2#6283611yescharacteristic
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. #53102C2semidirect
2. #53096C2semidirect
3. #52536C2semidirect
4. #52484C2semidirect
5. #44979C2semidirect
6. #44933C2semidirect
7. #44932C2semidirect
8. #44931C2semidirect
9. #43160C2semidirect
10. #43113C2semidirect
11. #42876C2semidirect
12. #42646C2semidirect
13. #42515C2semidirect
14. #42483C2semidirect
15. #42430C2semidirect
16. #42428C2semidirect
17. #41246C2semidirect
18. #41041C2semidirect
19. #40524C2semidirect
20. #40501C2semidirect
21. #36536C2semidirect
22. #36498C2semidirect
23. #36455C2semidirect
24. #36412C2semidirect
25. #36360C2semidirect
26. #36260C2semidirect
27. #35276C2semidirect
28. #35268C2semidirect
29. #35038C2semidirect
30. #35007C2semidirect
31. #34547C2semidirect
32. C2×#555C22semidirect
34. C2×#550C22semidirect
35. C2×#550C22semidirect
40. C2×#542C22semidirect
42. C2×#538C22semidirect
43. C2×C4×#41C22semidirect
44. #2864C22semidirect
45. #2861C22semidirect
46. #2860C22semidirect
50. #2856C22semidirect
51. #2856C22semidirect
52. #2855C22semidirect
55. #2837C22semidirect
56. #2829C22semidirect
57. #2828C22semidirect
58. #2826C22semidirect
59. #2818C22semidirect
60. #2818C22semidirect
62. #2815C22semidirect
63. #2814C22semidirect
64. #2813C22semidirect
65. #2813C22semidirect
66. #2813C22semidirect
67. #2813C22semidirect
68. #2812C22semidirect
69. #2777C22semidirect
70. #2756C22semidirect
71. #2748C22semidirect
72. #2742C22semidirect
73. #2738C22semidirect
74. #2730C22semidirect
75. #2709C22semidirect
76. #2703C22semidirect
77. #2703C22semidirect
78. #2701C22semidirect
79. #2695C22semidirect
80. #2693C22semidirect
81. #2689C22semidirect
82. #2685C22semidirect
84. #2678C22semidirect
85. #2676C22semidirect
86. #2676C22semidirect
87. #2673C22semidirect
88. #2673C22semidirect
89. #2673C22semidirect
90. #2672C22semidirect
91. #2672C22semidirect
92. #2672C22semidirect
94. #2671C22semidirect
95. #2671C22semidirect
98. #2669C22semidirect
99. #2669C22semidirect
100. #2669C22semidirect
101. #2663C22semidirect
102. #2662C22semidirect
104. #2661C22semidirect
105. #2660C22semidirect
106. #2659C22semidirect
108. #2657C22semidirect
109. #2656C22semidirect
110. #2648C22semidirect
111. #2635C22semidirect
112. #2632C22semidirect
113. #2631C22semidirect
114. #2628C22semidirect
115. #2624C22semidirect
116. #2624C22semidirect
117. #2620C22semidirect
120. #2617C22semidirect
122. #2615C22semidirect
124. #2604C22semidirect
125. #2603C22semidirect
127. #2597C22semidirect
128. #2595C22semidirect
130. #2580C22semidirect
131. #2578C22semidirect
132. #2577C22semidirect
133. #2567C22semidirect
134. #2559C22semidirect
135. #2555C22semidirect
136. #2555C22semidirect
137. #2555C22semidirect
138. #2555C22semidirect
139. #2554C22semidirect
140. #2554C22semidirect
145. #2541C22semidirect
146. #2541C22semidirect
151. #2537C22semidirect
152. #2537C22semidirect
156. #2535C22semidirect
157. #2521C22semidirect
158. #2516C22semidirect
160. #2511C22semidirect
162. #2500C22semidirect
163. #2498C22semidirect
164. #2497C22semidirect
165. #2495C22semidirect
166. #2491C22semidirect
168. #2476C22semidirect
169. #2472C22semidirect
170. #2471C22semidirect
171. #2471C22semidirect
172. #2467C22semidirect
173. #2467C22semidirect
174. #2465C22semidirect
175. #2464C22semidirect
176. #2461C22semidirect
177. #2459C22semidirect
178. #2458C22semidirect
179. #2458C22semidirect
180. #2457C22semidirect
181. #2456C22semidirect
182. #2456C22semidirect
183. #2456C22semidirect
184. #2445C22semidirect
185. #2445C22semidirect
186. #2441C22semidirect
187. #2440C22semidirect
192. #2431C22semidirect
193. #2431C22semidirect
195. #2430C22semidirect
196. #2430C22semidirect
199. #2428C22semidirect
200. #2428C22semidirect
201. #2428C22semidirect
202. #2428C22semidirect
203. #2427C22semidirect
204. #2427C22semidirect
205. #2424C22semidirect
207. #2418C22semidirect
208. #2417C22semidirect
209. #2416C22semidirect
211. #2414C22semidirect
212. #2414C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
219. #2407C22semidirect
220. #2404C22semidirect
221. #2404C22semidirect
222. #2399C22semidirect
223. #2398C22semidirect
225. #2396C22semidirect
226. #2396C22semidirect
227. #2395C22semidirect
228. #2395C22semidirect
231. #2392C22semidirect
232. #2392C22semidirect
233. #2392C22semidirect
235. #2388C22semidirect
236. #2364C22semidirect
237. #2363C22semidirect
238. #2358C22semidirect
240. #2356C22semidirect
241. #2353C22semidirect
242. #2352C22semidirect
243. Q8×C4⋊C4C22semidirect
244. #2349C22semidirect
245. #2349C22semidirect
246. #2342C22semidirect
247. #2341C22semidirect
248. #2335C22semidirect
249. #2333C22semidirect
250. #2331C22semidirect
252. #2328C22semidirect
254. #2321C22semidirect
255. #2319C22semidirect
257. C4×#124C22semidirect
258. C4×#121C22semidirect
259. C4×#121C22semidirect
260. C4×#121C22semidirect
261. #2297C22semidirect
264. C42×D4C22semidirect
265. C42×D4C22semidirect
266. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#531022
#530962
#525362
#524842
#449792
#449332
#449322
#449312
#431602
#431132
#428762
#426462
#425152
#424832
#424302
#424282
#412462
#410412
#405242
#405012
#365362
#364982
#364552
#364122
#363602
#362602
#352762
#352682
#350382
#350072
#345472