Finite Group Databasebeta

← #7650844

Subgroups — #7650844

Order 512.

4804 conjugacy classes of subgroups.

The subgroup lattice has 1688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42781C212yesmaximal, complemented
2#42737C212yesmaximal, complemented
3#42700C212yesmaximal, complemented
4#42596C212yesmaximal, complemented
5#42561C212yesmaximal, complemented
6#42526C212yesmaximal, complemented
7#42525C212yesmaximal, complemented
8#42525C212yesmaximal, complemented
9#41469C214yesmaximal, complemented
10#40691C214yesmaximal, complemented
11#40203C212yesmaximal, complemented
12#40154C212yesmaximal, complemented
13#40023C212yesmaximal, complemented
14#40022C212yesmaximal, complemented
15#39771C212yesmaximal, complemented
16#39251C212yesmaximal, complemented
17#39010C212yesmaximal, complemented
18#38985C212yesmaximal, complemented
19#38511C214yesmaximal, complemented
20#37902C214yesmaximal, complemented
21#35677C211yesmaximal, characteristic
22#35668C211yesmaximal, characteristic, complemented
23#35628C211yesmaximal, characteristic, complemented
24#35619C211yesmaximal, characteristic, complemented
25#35558C211yesmaximal, characteristic, complemented
26#35519C211yesmaximal, characteristic, complemented
27#35338C211yesmaximal, characteristic, complemented
28#35264C211yesmaximal, characteristic
29#35172C211yesmaximal, characteristic, complemented
30#34938C211yesmaximal, characteristic, complemented
31#34816C211yesmaximal, characteristic, complemented
32C2×#2447C211yesmaximal, characteristic, complemented
33#34272C211yesmaximal, characteristic, complemented
34#34265C211yesmaximal, characteristic
35#34254C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C22×#124C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#519C2211yescharacteristic
44C22×C4×D4C2211yescharacteristic
45#2861C2212yes—
46#2861C2212yes—
47#2861C2212yes—
48#2858C2212yes—
49#2848C2214yes—
50#2838C2214yescomplemented
51#2831C2214yescomplemented
52#2830C2214yescomplemented
53#2830C2214yescomplemented
54#2796C2214yescomplemented
55#2796C2214yescomplemented
56#2793C2214yescomplemented
57#2790C2214yescomplemented
58#2777C2214yescomplemented
59#2775C2214yescomplemented
60#2772C2214yescomplemented
61#2772C2214yescomplemented
62#2770C2214yescomplemented
63#2765C2214yescomplemented
64#2764C2214yescomplemented
65#2763C2214yescomplemented
66#2761C2214yescomplemented
67#2761C2214yescomplemented
68#2759C2214yescomplemented
69#2757C2214yescomplemented
70#2757C2214yescomplemented
71#2754C2214yescomplemented
72#2751C2214yescomplemented
73#2751C2214yescomplemented
74#2739C2214yescomplemented
75#2737C2214yescomplemented
76#2737C2214yescomplemented
77#2729C2214yescomplemented
78#2723C2214yescomplemented
79#2723C2214yescomplemented
80#2716C2214yescomplemented
81#2715C2214yescomplemented
82#2715C2214yescomplemented
83#2700C2214yescomplemented
84#2700C2214yescomplemented
85#2698C2214yescomplemented
86#2665C2214yescomplemented
87#2654C2214yescomplemented
88#2652C2214yescomplemented
89#2651C2214yescomplemented
90#2651C2214yescomplemented
91#2650C2214yescomplemented
92#2650C2214yescomplemented
93#2644C2214yescomplemented
94#2641C2212yes—
95#2640C2212yes—
96#2640C2212yes—
97#2640C2212yes—
98#2640C2214yescomplemented
99#2638C2214yescomplemented
100#2638C2214yescomplemented
101#2637C2214yescomplemented
102#2626C2214yes—
103#2592C2212yes—
104#2592C2212yes—
105#2592C2212yes—
106#2592C2212yes—
107#2592C2212yescomplemented
108#2592C2212yescomplemented
109#2582C2212yescomplemented
110#2581C2212yescomplemented
111#2580C2212yes—
112#2580C2212yes—
113#2580C2212yescomplemented
114#2568C2212yescomplemented
115#2568C2212yescomplemented
116#2568C2212yescomplemented
117#2567C2212yescomplemented
118#2566C2212yes—
119#2566C2212yes—
120#2565C2212yescomplemented
121#2565C2212yescomplemented
122#2563C2212yes—
123#2561C2214yes—
124#2561C2214yes—
125#2552C2211yescharacteristic, complemented
126#2552C2211yescharacteristic, complemented
127#2551C2211yescharacteristic, complemented
128#2551C2211yescharacteristic, complemented
129#2550C2211yescharacteristic, complemented
130#2550C2211yescharacteristic, complemented
131#2550C2211yescharacteristic, complemented
132#2550C2211yescharacteristic, complemented
133#2549C2212yes—
134#2549C2212yes—
135#2548C2212yes—
136#2548C2212yes—
137#2545C2212yes—
138#2545C2212yes—
139#2542C2212yes—
140#2538C2212yes—
141#2538C2212yes—
142#2538C2212yescomplemented
143#2532C2214yescomplemented
144#2530C2214yescomplemented
145#2529C2214yescomplemented
146#2527C2214yescomplemented
147#2515C2214yescomplemented
148#2514C2211yescharacteristic, complemented
149#2514C2211yescharacteristic, complemented
150#2513C2212yes—
151#2513C2212yes—
152#2513C2212yes—
153#2513C2212yes—
154#2513C2211yescharacteristic, complemented
155#2513C2211yescharacteristic, complemented
156#2512C2212yes—
157#2512C2212yes—
158#2512C2212yes—
159#2512C2212yes—
160#2512C2211yescharacteristic, complemented
161#2512C2211yescharacteristic, complemented
162#2512C2214yescomplemented
163#2511C2211yescharacteristic, complemented
164#2511C2211yescharacteristic, complemented
165#2510C2212yes—
166#2510C2212yes—
167#2503C2212yescomplemented
168#2502C2212yescomplemented
169#2499C2212yescomplemented
170#2499C2212yescomplemented
171#2492C2212yescomplemented
172#2492C2212yescomplemented
173#2491C2212yes—
174#2491C2212yes—
175#2490C2212yes—
176#2490C2212yes—
177#2489C2212yescomplemented
178#2489C2212yescomplemented
179#2488C2214yes—
180#2488C2214yes—
181#2481C2212yes—
182#2481C2212yes—
183#2480C2214yes—
184#2480C2214yes—
185#2472C2214yes—
186#2472C2214yes—
187#2468C2214yescomplemented
188#2468C2214yescomplemented
189#2465C2214yescomplemented
190#2453C2212yescomplemented
191#2453C2212yescomplemented
192#2452C2214yescomplemented
193#2451C2212yescomplemented
194#2451C2212yescomplemented
195#2450C2214yes—
196#2449C2214yes—
197#2448C2214yescomplemented
198#2447C2212yes—
199#2447C2212yes—
200#2447C2212yes—
201#2447C2212yes—
202#2447C2212yes—
203#2447C2212yes—
204#2447C2212yes—
205#2447C2212yes—
206#2447C2214yescomplemented
207#2447C2212yescomplemented
208#2447C2212yescomplemented
209#2446C2212yescomplemented
210#2446C2212yescomplemented
211#2442C2212yescomplemented
212#2441C2212yescomplemented
213#2440C2212yes—
214#2440C2212yes—
215#2440C2212yescomplemented
216#2439C2212yescomplemented
217#2438C2214yes—
218#2438C2214yes—
219#2426C2212yes—
220#2426C2212yes—
221#2426C2212yes—
222#2426C2212yes—
223#2419C2214yes—
224#2419C2214yes—
225#2411C2214yes—
226#2411C2214yes—
227#2401C2212yescomplemented
228#2401C2212yescomplemented
229#2399C2212yescomplemented
230#2399C2212yescomplemented
231C2×#397C2212yes—
232C2×#397C2212yes—
233#2370C2212yescomplemented
234#2370C2212yescomplemented
235#2369C2212yescomplemented
236#2368C2214yes—
237#2367C2212yes—
238#2367C2212yes—
239#2366C2212yes—
240#2366C2212yes—
241#2365C2212yescomplemented
242#2363C2212yes—
243#2363C2212yes—
244#2361C2212yes—
245#2361C2212yes—
246#2360C2214yes—
247#2356C2212yescomplemented
248#2356C2212yescomplemented
249#2355C2212yescomplemented
250#2355C2212yescomplemented
251#2343C2214yes—
252#2343C2214yes—
253#2334C2214yescomplemented
254#2332C2214yescomplemented
255#2331C2212yescomplemented
256#2330C2212yescomplemented
257#2326C2214yescomplemented
258#2321C2214yes—
259#2320C2212yescomplemented
260#2320C2212yescomplemented
261#2319C2214yescomplemented
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2311C2211yescharacteristic
266#2310C2211yescharacteristic
267#2310C2211yescharacteristic
268#2309C2211yescharacteristic
269#2309C2211yescharacteristic
270#2309C2211yescharacteristic
271C4×C4⋊Q8C2212yescomplemented
272C4×C4⋊Q8C2212yescomplemented
273C4×C4⋊Q8C2212yescomplemented
274C4×#125C2212yescomplemented
275C4×#126C2212yescomplemented
276C4×#126C2212yescomplemented
277C4×#120C2214yes—
278#2297C2211yescharacteristic
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284#2295C2212yescomplemented
285#2295C2212yescomplemented
286C2×#391C2211yescharacteristic
287C2×#391C2211yescharacteristic
288C2×#390C2211yescharacteristic
289C2×#389C2211yescharacteristic
290C2×#385C2212yes—
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293C2×#381C2212yes—
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#544—28no—
304#536—44no—
305#535—28no—
306#533—44no—
307#533—44no—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×#127C2312yes—
318C2×#126C2312yes—
319C2×#126C2312yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2311yescharacteristic
325C2×#125C2311yescharacteristic
326C2×#125C2311yescharacteristic
327C2×#125C2311yescharacteristic
328C2×#124—44no—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2314yes—
337C2×#123C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#120C2314yes—
351#520—44no—
352#519—28no—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2314yes—
363C2×C4×D4—44no—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2314yes—
379C2×#117C2312yes—
380C2×#117C2311yescharacteristic
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2312yes—
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2312yes—
390C22×C22⋊C4C2312yes—
391C22×C22⋊C4C2312yes—
392C22×C42C2311yescharacteristic
393C22×C42C2311yescharacteristic
394C22×C42C2311yescharacteristic
395#401C2312yes—
396#401C2312yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2312yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2314yes—
408#400C2312yes—
409#400C2312yes—
410#400C2312yes—
411#400C2312yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2312yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2312yes—
424#398C2312yes—
425#398C2312yes—
426#398C2312yes—
427#398C2314yes—
428#398C2312yes—
429#398C2312yes—
430#398C2312yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2312yes—
449#397C2314yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2312yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2312yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2312yes—
477#395C2314yes—
478#395C2314yes—
479#395C2312yes—
480#395C2312yes—
481#395C2314yes—
482#395C2312yes—
483#395C2312yes—
484#395C2312yes—
485#395C2312yes—
486#395C2312yes—
487#395C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#391C2312yes—
508#391C2314yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2311yescharacteristic
524#391C2311yescharacteristic
525#391C2314yes—
526#391C2314yes—
527#391C2314yes—
528#391C2314yes—
529#391C2314yes—
530#391C2312yes—
531#391C2311yescharacteristic
532#391C2311yescharacteristic
533#391C2314yes—
534#391C2314yes—
535#391C2311yescharacteristic
536#391C2312yes—
537#391C2312yes—
538#391C2311yescharacteristic
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2314yes—
557#390C2314yes—
558#390C2314yes—
559#390C2311yescharacteristic
560#390C2314yes—
561#390C2311yescharacteristic
562#390C2311yescharacteristic
563#390C2311yescharacteristic
564#390C2312yes—
565#390C2314yes—
566#390C2312yes—
567#390C2314yes—
568#390C2311yescharacteristic
569#390C2314yes—
570#390C2312yes—
571#390C2312yes—
572#390C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2312yes—
578#389C2314yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2314yes—
586#389C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2312yes—
597#389C2314yes—
598#389C2314yes—
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2314yes—
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
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#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#386C2312yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2312yes—
699#385C2312yes—
700#385C2312yes—
701#385C2314yes—
702#385C2314yes—
703#385C2312yes—
704#385C2314yes—
705#385C2314yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#384C2312yes—
710#384C2312yes—
711#384C2312yes—
712#384C2311yescharacteristic
713#384C2312yes—
714#384C2312yes—
715#384C2311yescharacteristic
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#383C2312yes—
719#383C2312yes—
720#383C2314yes—
721#383C2314yes—
722#382C2312yes—
723#382C2312yes—
724#382C2311yescharacteristic
725#382C2312yes—
726#382C2311yescharacteristic
727#382C2314yes—
728#382C2314yes—
729#382C2314yes—
730#382C2314yes—
731#382C2311yescharacteristic
732#382C2311yescharacteristic
733#381C2314yes—
734#381C2314yes—
735#381C2314yes—
736#381C2314yes—
737#381C2314yes—
738#381C2314yes—
739#381C2314yes—
740#381C2314yes—
741#380C2314yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#379C2314yes—
751#379C2314yes—
752#379C2314yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806#376C2314yes—
807#376C2312yes—
808#376C2314yes—
809#376C2312yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2311yescharacteristic
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C43C2312yes—
818C43C2312yes—
819C25C2412yes—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C22×Q8—24no—
824C22×Q8—24no—
825C22×Q8—24no—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2414yes—
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×D4—24no—
835C22×D4—24no—
836C22×D4—24no—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2414yes—
842C22×D4C2414yes—
843C23×C4—44no—
844C23×C4—44no—
845C23×C4—82no—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2411yescharacteristic
860C4⋊Q8—28no—
861C4⋊Q8—28no—
862C4⋊Q8—44no—
863C4⋊Q8—42no—
864C4⋊Q8—42no—
865C4⋊Q8—42no—
866C4⋊Q8—42no—
867C4⋊Q8—44no—
868C4⋊Q8—44no—
869#127—28no—
870#126—48no—
871#126—44no—
872#126—44no—
873#126—84no—
874#125—28no—
875#125—28no—
876#125—42no—
877#125—42no—
878#125—42no—
879#125—42no—
880#124—28no—
881#124—48no—
882#124—44no—
883#124—44no—
884#124—44no—
885#124—44no—
886#124—44no—
887#124—84no—
888#123—48no—
889C22⋊Q8—216no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—44no—
894C22⋊Q8—48no—
895C22⋊Q8—44no—
896C22⋊Q8—44no—
897C22⋊Q8—84no—
898C22⋊Q8—84no—
899#121—28no—
900#121—28no—
901#120—216no—
902C4×Q8—28no—
903C4×Q8—28no—
904C4×Q8—28no—
905C4×Q8—28no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8—44no—
911C4×Q8—84no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—48no—
918C4×D4—48no—
919C4×D4—84no—
920#117—24no—
921#117—24no—
922#117—24no—
923#117—24no—
924#117—24no—
925#117—24no—
926#117—216no—
927#117—44no—
928#117#4118yes—
929C2×C4⋊C4—24no—
930C2×C4⋊C4—24no—
931C2×C4⋊C4—42no—
932C2×C4⋊C4—42no—
933C2×C4⋊C4—44no—
934C2×C4⋊C4—82no—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C22⋊C4—44no—
1010C2×C22⋊C4—44no—
1011C2×C22⋊C4—44no—
1012C2×C22⋊C4—44no—
1013C2×C22⋊C4—82no—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C42—24no—
1063C2×C42—24no—
1064C2×C42—24no—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2412yes—
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177C24—24no—
1178C24—24no—
1179C24—24no—
1180C24—42no—
1181C24—42no—
1182C24—42no—
1183C24—42no—
1184C24C2514yes—
1185C24C2512yes—
1186C24C2511yescharacteristic
1187#41—416no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—22no—
1191C2×Q8—28no—
1192C2×Q8—22no—
1193C2×Q8—24no—
1194C2×Q8—24no—
1195C2×Q8—24no—
1196C2×Q8—24no—
1197C2×Q8—22no—
1198C2×Q8—24no—
1199C2×Q8—42no—
1200C2×Q8—42no—
1201C2×Q8—42no—
1202C2×Q8—42no—
1203C2×Q8—44no—
1204C2×Q8—42no—
1205C2×Q8—42no—
1206C2×Q8—44no—
1207C2×Q8—42no—
1208C2×Q8—42no—
1209C2×Q8—42no—
1210C2×Q8—42no—
1211C2×Q8—42no—
1212C2×Q8—416no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—22no—
1219C2×D4—28no—
1220C2×D4—28no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—22no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—22no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—416no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—28no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—42no—
1252C22×C4—41no—
1253C22×C4—42no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—42no—
1264C22×C4—44no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—816no—
1272C22×C4C2×#4114yes—
1273C22×C4H(5,𝔽2)14yes—
1274C22×C42−1+414yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2514yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2514yes—
1290C22×C4C2514yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—28no—
1312C4⋊C4—28no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—28no—
1316C4⋊C4—28no—
1317C4⋊C4—28no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4C2×#4114yes—
1380C4⋊C4C2×#4114yes—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
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—42no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4C2×#4118yes—
1429C42—24no—
1430C42—28no—
1431C42—28no—
1432C42—24no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—24no—
1442C42—24no—
1443C42—24no—
1444C42—22no—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—24no—
1449C42—24no—
1450C42—42no—
1451C42—42no—
1452C42—44no—
1453C42—44no—
1454C42—44no—
1455C42—42no—
1456C42—44no—
1457C42—42no—
1458C42—42no—
1459C42—42no—
1460C42—44no—
1461C42—42no—
1462C42C2×#4118yes—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—24no—
1468C23—22no—
1469C23—22no—
1470C23—24no—
1471C23—22no—
1472C23—24no—
1473C23—22no—
1474C23—24no—
1475C23—22no—
1476C23—24no—
1477C23—22no—
1478C23—24no—
1479C23—22no—
1480C23—24no—
1481C23—48no—
1482C23—48no—
1483C23—48no—
1484C23—84no—
1485C23—84no—
1486C23—84no—
1487C23—84no—
1488C23C22×#4112yes—
1489C23C2×H(5,𝔽2)12yes—
1490C23C2×2−1+412yes—
1491C23C2611yescharacteristic
1492Q8—48no—
1493Q8—48no—
1494Q8—44no—
1495Q8—88no—
1496Q8—84no—
1497Q8—84no—
1498Q8—84no—
1499Q8—84no—
1500D4—48no—
1501D4—48no—
1502D4—48no—
1503D4—44no—
1504D4—88no—
1505D4—88no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—48no—
1595C2×C4—48no—
1596C2×C4—88no—
1597C2×C4—84no—
1598C2×C4—82no—
1599C2×C4—82no—
1600C2×C4—82no—
1601C2×C4—82no—
1602C2×C4—84no—
1603C2×C4—88no—
1604C2×C4—164no—
1605C2×C4#542116yes—
1606C2×C4C22×#4114yes—
1607C2×C4C22×#4114yes—
1608C2×C4C22×#4112yes—
1609C2×C4C22×#4112yes—
1610C2×C4C2×H(5,𝔽2)12yes—
1611C2×C4C2×H(5,𝔽2)12yes—
1612C2×C4C2×2−1+412yes—
1613C2×C4C2×2−1+412yes—
1614C2×C4#58512yes—
1615C2×C4#58512yes—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—42no—
1623C22—44no—
1624C22—42no—
1625C22—44no—
1626C22—42no—
1627C22—44no—
1628C22—42no—
1629C22—44no—
1630C22—44no—
1631C22—42no—
1632C22—42no—
1633C22—44no—
1634C22—42no—
1635C22—44no—
1636C22—816no—
1637C22C2×#54214yes—
1638C22C23×#4111yescharacteristic
1639C22C22×H(5,𝔽2)11yescharacteristic
1640C22C22×2−1+411yescharacteristic
1641C22C2×#58511yescharacteristic
1642C22C2×#58511yescharacteristic
1643C22H(7,𝔽2)11yescharacteristic
1644C222−1+611yescharacteristic
1645C4—24no—
1646C4—24no—
1647C4—22no—
1648C4—22no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—44no—
1653C4—42no—
1654C4—42no—
1655C4—41no—
1656C4—42no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—44no—
1662C4—41no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—42no—
1671C4—42no—
1672C4—42no—
1673C4—42no—
1674C4—44no—
1675C4C2×#54214yes—
1676C4C2×#54214yes—
1677C2—24no—
1678C2—82no—
1679C2—84no—
1680C2C22×#54211yescharacteristic
1681C2#6283111yescharacteristic
1682C2#6287911yescharacteristic
1683C2#6292411yescharacteristic
1684C2#6292511yescharacteristic
1685C2#6299511yescharacteristic
1686C2#6301011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#535C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #42781C2semidirect
2. #42737C2semidirect
3. #42700C2semidirect
4. #42596C2semidirect
5. #42561C2semidirect
6. #42526C2semidirect
7. #42525C2semidirect
8. #42525C2semidirect
9. #41469C2semidirect
10. #40691C2semidirect
11. #40203C2semidirect
12. #40154C2semidirect
13. #40023C2semidirect
14. #40022C2semidirect
15. #39771C2semidirect
16. #39251C2semidirect
17. #39010C2semidirect
18. #38985C2semidirect
19. #38511C2semidirect
20. #37902C2semidirect
22. #35668C2semidirect
23. #35628C2semidirect
24. #35619C2semidirect
25. #35558C2semidirect
26. #35519C2semidirect
27. #35338C2semidirect
29. #35172C2semidirect
30. #34938C2semidirect
31. #34816C2semidirect
32. C2×#2447C2semidirect
33. #34272C2semidirect
35. #34254C2semidirect
50. #2838C22semidirect
51. #2831C22semidirect
52. #2830C22semidirect
53. #2830C22semidirect
54. #2796C22semidirect
55. #2796C22semidirect
56. #2793C22semidirect
57. #2790C22semidirect
58. #2777C22semidirect
59. #2775C22semidirect
60. #2772C22semidirect
61. #2772C22semidirect
62. #2770C22semidirect
63. #2765C22semidirect
64. #2764C22semidirect
65. #2763C22semidirect
66. #2761C22semidirect
67. #2761C22semidirect
68. #2759C22semidirect
69. #2757C22semidirect
70. #2757C22semidirect
71. #2754C22semidirect
72. #2751C22semidirect
73. #2751C22semidirect
74. #2739C22semidirect
75. #2737C22semidirect
76. #2737C22semidirect
77. #2729C22semidirect
78. #2723C22semidirect
79. #2723C22semidirect
80. #2716C22semidirect
81. #2715C22semidirect
82. #2715C22semidirect
83. #2700C22semidirect
84. #2700C22semidirect
85. #2698C22semidirect
86. #2665C22semidirect
87. #2654C22semidirect
88. #2652C22semidirect
89. #2651C22semidirect
90. #2651C22semidirect
91. #2650C22semidirect
92. #2650C22semidirect
93. #2644C22semidirect
98. #2640C22semidirect
99. #2638C22semidirect
100. #2638C22semidirect
101. #2637C22semidirect
107. #2592C22semidirect
108. #2592C22semidirect
109. #2582C22semidirect
110. #2581C22semidirect
113. #2580C22semidirect
114. #2568C22semidirect
115. #2568C22semidirect
116. #2568C22semidirect
117. #2567C22semidirect
120. #2565C22semidirect
121. #2565C22semidirect
125. #2552C22semidirect
126. #2552C22semidirect
127. #2551C22semidirect
128. #2551C22semidirect
129. #2550C22semidirect
130. #2550C22semidirect
131. #2550C22semidirect
132. #2550C22semidirect
142. #2538C22semidirect
143. #2532C22semidirect
144. #2530C22semidirect
145. #2529C22semidirect
146. #2527C22semidirect
147. #2515C22semidirect
148. #2514C22semidirect
149. #2514C22semidirect
154. #2513C22semidirect
155. #2513C22semidirect
160. #2512C22semidirect
161. #2512C22semidirect
162. #2512C22semidirect
163. #2511C22semidirect
164. #2511C22semidirect
167. #2503C22semidirect
168. #2502C22semidirect
169. #2499C22semidirect
170. #2499C22semidirect
171. #2492C22semidirect
172. #2492C22semidirect
177. #2489C22semidirect
178. #2489C22semidirect
187. #2468C22semidirect
188. #2468C22semidirect
189. #2465C22semidirect
190. #2453C22semidirect
191. #2453C22semidirect
192. #2452C22semidirect
193. #2451C22semidirect
194. #2451C22semidirect
197. #2448C22semidirect
206. #2447C22semidirect
207. #2447C22semidirect
208. #2447C22semidirect
209. #2446C22semidirect
210. #2446C22semidirect
211. #2442C22semidirect
212. #2441C22semidirect
215. #2440C22semidirect
216. #2439C22semidirect
227. #2401C22semidirect
228. #2401C22semidirect
229. #2399C22semidirect
230. #2399C22semidirect
233. #2370C22semidirect
234. #2370C22semidirect
235. #2369C22semidirect
241. #2365C22semidirect
247. #2356C22semidirect
248. #2356C22semidirect
249. #2355C22semidirect
250. #2355C22semidirect
253. #2334C22semidirect
254. #2332C22semidirect
255. #2331C22semidirect
256. #2330C22semidirect
257. #2326C22semidirect
259. #2320C22semidirect
260. #2320C22semidirect
261. #2319C22semidirect
271. C4×C4⋊Q8C22semidirect
272. C4×C4⋊Q8C22semidirect
273. C4×C4⋊Q8C22semidirect
274. C4×#125C22semidirect
275. C4×#126C22semidirect
276. C4×#126C22semidirect
284. #2295C22semidirect
285. #2295C22semidirect

Maximal subgroups

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

subgroupindex
#427812
#427372
#427002
#425962
#425612
#425262
#425252
#414692
#406912
#402032
#401542
#400232
#400222
#397712
#392512
#390102
#389852
#385112
#379022
#356772
#356682
#356282
#356192
#355582
#355192
#353382
#352642
#351722
#349382
#348162
C2×#24472
#342722
#342652
#342542