Finite Group Databasebeta

← #7806307

Subgroups — #7806307

Order 512.

4910 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59864C211yesmaximal, characteristic, complemented
2#59863C211yesmaximal, characteristic, complemented
3#59862C212yesmaximal, complemented
4#59820C212yesmaximal
5#59442C211yesmaximal, characteristic, complemented
6#59442C211yesmaximal, characteristic, complemented
7#59436C211yesmaximal, characteristic, complemented
8#59435C211yesmaximal, characteristic, complemented
9#59429C211yesmaximal, characteristic, complemented
10#59426C211yesmaximal, characteristic, complemented
11#59333C212yesmaximal, complemented
12#59332C212yesmaximal, complemented
13#59206C212yesmaximal, complemented
14#59203C212yesmaximal, complemented
15#59198C212yesmaximal, complemented
16#59197C212yesmaximal, complemented
17#47764C214yesmaximal, complemented
18#47763C214yesmaximal, complemented
19#42530C212yesmaximal, complemented
20#42523C212yesmaximal, complemented
21#42473C212yesmaximal, complemented
22#42466C212yesmaximal, complemented
23#42318C214yesmaximal, complemented
24#37632C211yesmaximal, characteristic, complemented
25#36079C214yesmaximal, complemented
26#35970C212yesmaximal, complemented
27#35952C212yesmaximal, complemented
28#35828C212yesmaximal, complemented
29#35770C212yesmaximal, complemented
30#34966C211yesmaximal, characteristic, complemented
31#34965C211yesmaximal, characteristic
32C2×#2563C211yesmaximal, characteristic, complemented
33#34243C211yesmaximal, characteristic, complemented
34#34209C211yesmaximal, characteristic, complemented
35#34194C211yesmaximal, characteristic, complemented
36C2×#551C2214yes—
37C22×C4⋊Q8C2211yescharacteristic
38C2×#529C2211yescharacteristic
39C2×#519C2212yes—
40C22×C4×D4C2211yescharacteristic
41#2832C2214yescomplemented
42#2831C2214yescomplemented
43#2821C2214yescomplemented
44#2808C2214yescomplemented
45#2804C2214yescomplemented
46#2796C2214yes—
47#2788C2214yescomplemented
48#2775C2214yescomplemented
49#2773C2214yescomplemented
50#2767C2214yescomplemented
51#2762C2214yescomplemented
52#2759C2214yescomplemented
53#2754C2214yescomplemented
54#2751C2214yes—
55#2751C2214yescomplemented
56#2751C2214yescomplemented
57#2747C2214yescomplemented
58#2746C2214yescomplemented
59#2745C2214yescomplemented
60#2744C2214yescomplemented
61#2741C2214yescomplemented
62#2739C2214yescomplemented
63#2737C2214yescomplemented
64#2730C2214yes—
65#2722C2214yescomplemented
66#2717C2214yescomplemented
67#2705C2214yes—
68#2665C2214yescomplemented
69#2660C2212yescomplemented
70#2653C2214yescomplemented
71#2653C2214yescomplemented
72#2650C2214yescomplemented
73#2640C2212yescomplemented
74#2637C2214yescomplemented
75#2632C2214yescomplemented
76#2628C2212yescomplemented
77#2628C2212yescomplemented
78#2614C2214yes—
79#2606C2212yescomplemented
80#2605C2212yescomplemented
81#2604C2214yescomplemented
82#2603C2212yes—
83#2603C2212yes—
84#2599C2214yescomplemented
85#2595C2214yes—
86#2592C2212yes—
87#2592C2214yescomplemented
88#2581C2212yescomplemented
89#2580C2212yes—
90#2580C2212yescomplemented
91#2580C2214yescomplemented
92#2578C2214yescomplemented
93#2575C2214yescomplemented
94#2574C2214yescomplemented
95#2574C2214yescomplemented
96#2572C2214yescomplemented
97#2571C2212yescomplemented
98#2571C2212yescomplemented
99#2570C2212yescomplemented
100#2570C2212yescomplemented
101#2570C2212yescomplemented
102#2570C2212yescomplemented
103#2570C2211yescharacteristic, complemented
104#2570C2211yescharacteristic, complemented
105#2569C2214yescomplemented
106#2567C2211yescharacteristic, complemented
107#2567C2211yescharacteristic, complemented
108#2566C2211yescharacteristic
109#2566C2211yescharacteristic
110#2563C2212yes—
111#2563C2211yescharacteristic
112#2563C2211yescharacteristic
113#2563C2211yescharacteristic
114#2563C2211yescharacteristic
115#2563C2212yes—
116#2563C2214yes—
117#2563C2212yes—
118#2563C2212yes—
119#2563C2211yescharacteristic, complemented
120#2563C2211yescharacteristic, complemented
121#2563C2212yescomplemented
122#2562C2212yescomplemented
123#2562C2212yescomplemented
124#2561C2214yes—
125#2550C2211yescharacteristic, complemented
126#2550C2211yescharacteristic, complemented
127#2548C2212yes—
128#2547C2212yescomplemented
129#2544C2211yescharacteristic
130#2544C2211yescharacteristic
131#2538C2212yes—
132#2534C2214yes—
133#2531C2214yescomplemented
134#2528C2214yescomplemented
135#2524C2214yescomplemented
136#2522C2214yescomplemented
137#2517C2214yescomplemented
138#2516C2214yes—
139#2514C2212yescomplemented
140#2514C2212yescomplemented
141#2513C2212yes—
142#2513C2212yes—
143#2513C2212yescomplemented
144#2513C2212yescomplemented
145#2512C2212yes—
146#2512C2212yes—
147#2510C2214yescomplemented
148#2504C2211yescharacteristic
149#2503C2212yes—
150#2502C2211yescharacteristic
151#2501C2212yes—
152#2498C2214yes—
153#2497C2212yescomplemented
154#2497C2212yescomplemented
155#2496C2212yescomplemented
156#2496C2212yescomplemented
157#2495C2212yescomplemented
158#2495C2212yescomplemented
159#2494C2212yescomplemented
160#2494C2212yescomplemented
161#2493C2214yes—
162#2493C2214yes—
163#2488C2214yes—
164#2487C2212yescomplemented
165#2487C2212yescomplemented
166#2486C2212yes—
167#2486C2212yes—
168#2486C2212yescomplemented
169#2486C2212yescomplemented
170#2485C2212yescomplemented
171#2485C2212yescomplemented
172#2485C2212yescomplemented
173#2485C2212yescomplemented
174#2483C2214yes—
175#2482C2214yes—
176#2471C2214yes—
177#2469C2214yescomplemented
178#2469C2214yescomplemented
179#2467C2214yes—
180#2465C2214yescomplemented
181#2465C2214yescomplemented
182#2458C2214yescomplemented
183#2458C2214yescomplemented
184#2458C2214yescomplemented
185#2458C2214yescomplemented
186#2448C2212yes—
187#2447C2212yes—
188#2445C2212yes—
189#2445C2212yes—
190#2442C2211yescharacteristic
191#2442C2211yescharacteristic
192#2442C2212yescomplemented
193#2441C2212yescomplemented
194#2440C2211yescharacteristic
195#2440C2211yescharacteristic
196#2440C2212yescomplemented
197#2439C2212yescomplemented
198#2438C2214yes—
199#2438C2212yes—
200#2438C2212yes—
201#2438C2214yescomplemented
202#2435C2211yescharacteristic
203#2433C2211yescharacteristic
204#2419C2214yes—
205#2419C2214yescomplemented
206#2412C2214yes—
207#2411C2214yes—
208#2411C2212yes—
209#2411C2212yes—
210#2402C2212yescomplemented
211#2399C2212yescomplemented
212#2398C2214yescomplemented
213#2396C2214yescomplemented
214#2392C2212yes—
215#2392C2212yes—
216C2×#393C2214yes—
217#2370C2212yescomplemented
218#2367C2212yes—
219#2367C2212yescomplemented
220#2366C2212yes—
221#2365C2212yescomplemented
222#2365C2212yescomplemented
223#2365C2212yescomplemented
224#2365C2212yescomplemented
225#2359C2214yes—
226#2359C2214yes—
227#2357C2212yes—
228#2357C2212yescomplemented
229#2356C2212yescomplemented
230#2355C2211yescharacteristic, complemented
231#2355C2212yescomplemented
232#2355C2212yescomplemented
233#2354C2211yescharacteristic
234#2354C2211yescharacteristic
235#2354C2212yes—
236#2354C2211yescharacteristic, complemented
237#2354C2212yescomplemented
238#2352C2212yes—
239#2352C2212yes—
240#2352C2212yes—
241#2352C2212yescomplemented
242#2352C2212yescomplemented
243Q8×C4⋊C4C2211yescharacteristic, complemented
244D4×C4⋊C4C2211yescharacteristic
245D4×C4⋊C4C2211yescharacteristic
246D4×C4⋊C4C2212yes—
247D4×C4⋊C4C2211yescharacteristic, complemented
248D4×C4⋊C4C2212yescomplemented
249#2347C2212yescomplemented
250#2346C2212yescomplemented
251#2345C2212yes—
252#2345C2212yescomplemented
253#2344C2212yes—
254#2344C2212yes—
255#2344C2212yes—
256#2344C2212yes—
257#2344C2212yescomplemented
258#2343C2214yes—
259#2342C2214yes—
260#2342C2214yes—
261D4×C22⋊C4C2212yes—
262#2334C2214yescomplemented
263#2327C2212yescomplemented
264#2327C2212yescomplemented
265#2319C2212yes—
266#2318C2214yes—
267#2314C2212yescomplemented
268#2310C2212yes—
269C4×C4⋊Q8C2211yescharacteristic, complemented
270C4×C4⋊Q8C2211yescharacteristic, complemented
271C4×C4⋊Q8C2211yescharacteristic, complemented
272C4×C4⋊Q8C2211yescharacteristic, complemented
273C4×C4⋊Q8C2211yescharacteristic, complemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×#127C2211yescharacteristic
276C4×#127C2211yescharacteristic
277C4×#125C2211yescharacteristic, complemented
278C4×#125C2211yescharacteristic, complemented
279C4×#124C2211yescharacteristic
280C4×#124C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2212yes—
284C4×#121C2212yes—
285C4×#120C2212yes—
286C4×#120C2212yes—
287C2×#390C2212yes—
288#2285C2211yescharacteristic
289#2283C2211yescharacteristic
290C2×#382C2212yes—
291#2280C2212yes—
292C2×#380C2212yes—
293C2×#380C2212yes—
294C2×#380C2212yes—
295#2275C2212yes—
296#2274C2212yescomplemented
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C23×Q8C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#551—416no—
303C2×C4⋊Q8—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#127C2311yescharacteristic
313#529—28no—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#124C2311yescharacteristic
321C2×#124C2311yescharacteristic
322C2×#124C2311yescharacteristic
323C2×#124C2314yes—
324C2×#123C2312yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×#121C2311yescharacteristic
334C2×#120C2312yes—
335C2×#120C2312yes—
336#519—48no—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2314yes—
346C2×C4×Q8C2314yes—
347C2×C4×D4—28no—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2314yes—
365C2×#117C2312yes—
366C2×#117C2314yes—
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2312yes—
370C2×#117C2314yes—
371C2×#117C2314yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2311yescharacteristic
383C22×C22⋊C4C2312yes—
384C22×C22⋊C4C2314yes—
385C22×C22⋊C4C2314yes—
386C22×C22⋊C4C2314yes—
387C22×C42C2312yes—
388C22×C42C2311yescharacteristic
389#401C2314yes—
390#401C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#400C2312yes—
407#400C2314yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2312yes—
416#398C2312yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2312yes—
421#398C2314yes—
422#398C2312yes—
423#398C2312yes—
424#398C2312yes—
425#398C2312yes—
426#398C2312yes—
427#398C2312yes—
428#398C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#396C2312yes—
448#396C2312yes—
449#396C2312yes—
450#396C2312yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2312yes—
458#395C2314yes—
459#395C2312yes—
460#395C2314yes—
461#395C2312yes—
462#395C2314yes—
463#395C2312yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2312yes—
468#394C2314yes—
469#394C2312yes—
470#394C2312yes—
471#394C2312yes—
472#394C2314yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#392C2312yes—
492#392C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2314yes—
500#391C2314yes—
501#391C2312yes—
502#391C2312yes—
503#391C2314yes—
504#391C2311yescharacteristic
505#391C2312yes—
506#391C2314yes—
507#391C2312yes—
508#391C2312yes—
509#391C2311yescharacteristic
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2312yes—
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2311yescharacteristic
518#390C2312yes—
519#390C2312yes—
520#390C2314yes—
521#390C2312yes—
522#390C2312yes—
523#390C2314yes—
524#390C2312yes—
525#390C2314yes—
526#390C2312yes—
527#390C2311yescharacteristic
528#390C2311yescharacteristic
529#390C2312yes—
530#390C2312yes—
531#390C2314yes—
532#390C2312yes—
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2312yes—
612#387C2314yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2312yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2312yes—
644#386C2312yes—
645#386C2312yes—
646#386C2312yes—
647#386C2314yes—
648#386C2314yes—
649#386C2312yes—
650#386C2314yes—
651#386C2312yes—
652#385C2312yes—
653#385C2312yes—
654#385C2312yes—
655#385C2312yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2312yes—
666#385C2312yes—
667#385C2314yes—
668#385C2312yes—
669#385C2314yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#384C2311yescharacteristic
674#384C2311yescharacteristic
675#384C2311yescharacteristic
676#384C2311yescharacteristic
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#384C2312yes—
680#384C2312yes—
681#384C2312yes—
682#383C2312yes—
683#383C2314yes—
684#383C2314yes—
685#383C2314yes—
686#382C2311yescharacteristic
687#382C2311yescharacteristic
688#382C2312yes—
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2314yes—
693#382C2314yes—
694#382C2312yes—
695#382C2312yes—
696#382C2314yes—
697#382C2311yescharacteristic
698#382C2311yescharacteristic
699#382C2312yes—
700#382C2311yescharacteristic
701#382C2311yescharacteristic
702#382C2314yes—
703#382C2312yes—
704#381C2314yes—
705#381C2314yes—
706#381C2314yes—
707#381C2314yes—
708#381C2314yes—
709#381C2314yes—
710#381C2312yes—
711#381C2314yes—
712#381C2314yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2314yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730#380C2314yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2312yes—
738#380C2312yes—
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#379C2312yes—
746#379C2314yes—
747#379C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805#376C2312yes—
806#376C2311yescharacteristic
807#376C2311yescharacteristic
808#376C2314yes—
809C2×#95C2314yes—
810C2×#95C2314yes—
811C2×#95C2312yes—
812C2×#95C2314yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C25C2412yes—
816C22×Q8—28no—
817C22×Q8—44no—
818C22×Q8—44no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2414yes—
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×D4—24no—
826C22×D4—24no—
827C22×D4—42no—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C23×C4—28no—
838C23×C4—44no—
839C23×C4—44no—
840C23×C4C2414yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2414yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C4⋊Q8—28no—
856C4⋊Q8—24no—
857C4⋊Q8—24no—
858C4⋊Q8—28no—
859C4⋊Q8—28no—
860C4⋊Q8—42no—
861C4⋊Q8—42no—
862#127—24no—
863#127—42no—
864#126—28no—
865#126—48no—
866#126—48no—
867#125—24no—
868#125—42no—
869#125—42no—
870#124—24no—
871#124—24no—
872#124—42no—
873#124—48no—
874#123—28no—
875#123—48no—
876#123—48no—
877#123—48no—
878#123—48no—
879C22⋊Q8—24no—
880C22⋊Q8—28no—
881C22⋊Q8—44no—
882C22⋊Q8—48no—
883#121—24no—
884#120—28no—
885#120—44no—
886C4×Q8—24no—
887C4×Q8—44no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×Q8—48no—
892C4×Q8—48no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—28no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—28no—
904C4×D4—24no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—48no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—48no—
913#117—24no—
914#117—216no—
915#117—28no—
916#117—48no—
917#117—42no—
918#117—44no—
919#117—48no—
920#117—44no—
921#117—44no—
922#117—44no—
923C2×C4⋊C4—24no—
924C2×C4⋊C4—28no—
925C2×C4⋊C4—28no—
926C2×C4⋊C4—44no—
927C2×C4⋊C4—42no—
928C2×C4⋊C4—44no—
929C2×C4⋊C4—44no—
930C2×C4⋊C4—42no—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C22⋊C4—28no—
1002C2×C22⋊C4—48no—
1003C2×C22⋊C4—48no—
1004C2×C22⋊C4—48no—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C42—44no—
1059C2×C42#4118yes—
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093#95C2412yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169C24—24no—
1170C24—24no—
1171C24—24no—
1172C24—24no—
1173C24—42no—
1174C24—42no—
1175C24—42no—
1176C24C2512yes—
1177C24C2512yes—
1178C24C2512yes—
1179C24C2511yescharacteristic
1180C2×Q8—22no—
1181C2×Q8—28no—
1182C2×Q8—24no—
1183C2×Q8—24no—
1184C2×Q8—24no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—42no—
1188C2×Q8—42no—
1189C2×Q8—44no—
1190C2×Q8—42no—
1191C2×Q8—42no—
1192C2×Q8—44no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—432no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—24no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—416no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D42−1+414yes—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—28no—
1234C22×C4—28no—
1235C22×C4—28no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—28no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—816no—
1270C22×C4C2×#4114yes—
1271C22×C4C2×#4114yes—
1272C22×C4C2×#4114yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2514yes—
1289C22×C4C2514yes—
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2514yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—28no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—28no—
1322C4⋊C4—28no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—28no—
1377C22⋊C4—22no—
1378C22⋊C4—28no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
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—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4H(5,𝔽2)14yes—
1427C42—24no—
1428C42—28no—
1429C42—28no—
1430C42—22no—
1431C42—22no—
1432C42—24no—
1433C42—22no—
1434C42—22no—
1435C42—24no—
1436C42—24no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—24no—
1442C42—22no—
1443C42—22no—
1444C42—42no—
1445C42—42no—
1446C42—41no—
1447C42—41no—
1448C42—44no—
1449C42—44no—
1450C42—44no—
1451C42—44no—
1452C42—44no—
1453C42—44no—
1454C42—44no—
1455C42—44no—
1456C42C2×#4114yes—
1457C42C2×#4114yes—
1458C42C2×#4114yes—
1459C42C2×#4114yes—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—48no—
1485C23—48no—
1486C23—48no—
1487C23—48no—
1488C23—84no—
1489C23—84no—
1490C23—84no—
1491C23C22×#4112yes—
1492C23C2×H(5,𝔽2)12yes—
1493C23C2×2−1+414yes—
1494C23#58512yes—
1495C23C2611yescharacteristic
1496Q8—48no—
1497Q8—48no—
1498Q8—416no—
1499Q8—44no—
1500Q8—84no—
1501Q8—84no—
1502D4—28no—
1503D4—48no—
1504D4—48no—
1505D4—48no—
1506D4—44no—
1507D4—44no—
1508D4—84no—
1509D4—84no—
1510D4—84no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—28no—
1524C2×C4—28no—
1525C2×C4—28no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—24no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—416no—
1596C2×C4—48no—
1597C2×C4—48no—
1598C2×C4—48no—
1599C2×C4—84no—
1600C2×C4—84no—
1601C2×C4—88no—
1602C2×C4—84no—
1603C2×C4—84no—
1604C2×C4—84no—
1605C2×C4—164no—
1606C2×C4—164no—
1607C2×C4C22×#4112yes—
1608C2×C4C22×#4112yes—
1609C2×C4C22×#4112yes—
1610C2×C4C22×#4112yes—
1611C2×C4C22×#4112yes—
1612C2×C4C22×#4112yes—
1613C2×C4C2×H(5,𝔽2)12yes—
1614C2×C4C2×H(5,𝔽2)12yes—
1615C2×C4C2×2−1+412yes—
1616C2×C4#58512yes—
1617C2×C4#58512yes—
1618C2×C4#58512yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—24no—
1626C22—24no—
1627C22—24no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—816no—
1647C22#350614yes—
1648C22C23×#4111yescharacteristic
1649C22C22×H(5,𝔽2)11yescharacteristic
1650C22C22×2−1+411yescharacteristic
1651C22C2×#58511yescharacteristic
1652C22C2×#58511yescharacteristic
1653C22C2×#58511yescharacteristic
1654C22C2×#58511yescharacteristic
1655C4—22no—
1656C4—22no—
1657C4—22no—
1658C4—22no—
1659C4—22no—
1660C4—22no—
1661C4—41no—
1662C4—44no—
1663C4—42no—
1664C4—41no—
1665C4—42no—
1666C4—41no—
1667C4—41no—
1668C4—42no—
1669C4—42no—
1670C4—44no—
1671C4—42no—
1672C4—44no—
1673C4—44no—
1674C4—42no—
1675C4—42no—
1676C4—42no—
1677C4—41no—
1678C4—42no—
1679C4—41no—
1680C4—42no—
1681C4—42no—
1682C4—42no—
1683C4—42no—
1684C4#349514yes—
1685C4#351014yes—
1686C2—24no—
1687C2—44no—
1688C2—82no—
1689C2—82no—
1690C2C2×#350611yescharacteristic
1691C2C2×#349511yescharacteristic
1692C2C2×#351011yescharacteristic
1693C2#6301311yescharacteristic
1694C2#6302311yescharacteristic
1695C2#6302411yescharacteristic
1696C2#6302811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2433C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59864C2semidirect
2. #59863C2semidirect
3. #59862C2semidirect
5. #59442C2semidirect
6. #59442C2semidirect
7. #59436C2semidirect
8. #59435C2semidirect
9. #59429C2semidirect
10. #59426C2semidirect
11. #59333C2semidirect
12. #59332C2semidirect
13. #59206C2semidirect
14. #59203C2semidirect
15. #59198C2semidirect
16. #59197C2semidirect
17. #47764C2semidirect
18. #47763C2semidirect
19. #42530C2semidirect
20. #42523C2semidirect
21. #42473C2semidirect
22. #42466C2semidirect
23. #42318C2semidirect
24. #37632C2semidirect
25. #36079C2semidirect
26. #35970C2semidirect
27. #35952C2semidirect
28. #35828C2semidirect
29. #35770C2semidirect
30. #34966C2semidirect
32. C2×#2563C2semidirect
33. #34243C2semidirect
34. #34209C2semidirect
35. #34194C2semidirect
41. #2832C22semidirect
42. #2831C22semidirect
43. #2821C22semidirect
44. #2808C22semidirect
45. #2804C22semidirect
47. #2788C22semidirect
48. #2775C22semidirect
49. #2773C22semidirect
50. #2767C22semidirect
51. #2762C22semidirect
52. #2759C22semidirect
53. #2754C22semidirect
55. #2751C22semidirect
56. #2751C22semidirect
57. #2747C22semidirect
58. #2746C22semidirect
59. #2745C22semidirect
60. #2744C22semidirect
61. #2741C22semidirect
62. #2739C22semidirect
63. #2737C22semidirect
65. #2722C22semidirect
66. #2717C22semidirect
68. #2665C22semidirect
69. #2660C22semidirect
70. #2653C22semidirect
71. #2653C22semidirect
72. #2650C22semidirect
73. #2640C22semidirect
74. #2637C22semidirect
75. #2632C22semidirect
76. #2628C22semidirect
77. #2628C22semidirect
79. #2606C22semidirect
80. #2605C22semidirect
81. #2604C22semidirect
84. #2599C22semidirect
87. #2592C22semidirect
88. #2581C22semidirect
90. #2580C22semidirect
91. #2580C22semidirect
92. #2578C22semidirect
93. #2575C22semidirect
94. #2574C22semidirect
95. #2574C22semidirect
96. #2572C22semidirect
97. #2571C22semidirect
98. #2571C22semidirect
99. #2570C22semidirect
100. #2570C22semidirect
101. #2570C22semidirect
102. #2570C22semidirect
103. #2570C22semidirect
104. #2570C22semidirect
105. #2569C22semidirect
106. #2567C22semidirect
107. #2567C22semidirect
119. #2563C22semidirect
120. #2563C22semidirect
121. #2563C22semidirect
122. #2562C22semidirect
123. #2562C22semidirect
125. #2550C22semidirect
126. #2550C22semidirect
128. #2547C22semidirect
133. #2531C22semidirect
134. #2528C22semidirect
135. #2524C22semidirect
136. #2522C22semidirect
137. #2517C22semidirect
139. #2514C22semidirect
140. #2514C22semidirect
143. #2513C22semidirect
144. #2513C22semidirect
147. #2510C22semidirect
153. #2497C22semidirect
154. #2497C22semidirect
155. #2496C22semidirect
156. #2496C22semidirect
157. #2495C22semidirect
158. #2495C22semidirect
159. #2494C22semidirect
160. #2494C22semidirect
164. #2487C22semidirect
165. #2487C22semidirect
168. #2486C22semidirect
169. #2486C22semidirect
170. #2485C22semidirect
171. #2485C22semidirect
172. #2485C22semidirect
173. #2485C22semidirect
177. #2469C22semidirect
178. #2469C22semidirect
180. #2465C22semidirect
181. #2465C22semidirect
182. #2458C22semidirect
183. #2458C22semidirect
184. #2458C22semidirect
185. #2458C22semidirect
192. #2442C22semidirect
193. #2441C22semidirect
196. #2440C22semidirect
197. #2439C22semidirect
201. #2438C22semidirect
205. #2419C22semidirect
210. #2402C22semidirect
211. #2399C22semidirect
212. #2398C22semidirect
213. #2396C22semidirect
217. #2370C22semidirect
219. #2367C22semidirect
221. #2365C22semidirect
222. #2365C22semidirect
223. #2365C22semidirect
224. #2365C22semidirect
228. #2357C22semidirect
229. #2356C22semidirect
230. #2355C22semidirect
231. #2355C22semidirect
232. #2355C22semidirect
236. #2354C22semidirect
237. #2354C22semidirect
241. #2352C22semidirect
242. #2352C22semidirect
243. Q8×C4⋊C4C22semidirect
247. D4×C4⋊C4C22semidirect
248. D4×C4⋊C4C22semidirect
249. #2347C22semidirect
250. #2346C22semidirect
252. #2345C22semidirect
257. #2344C22semidirect
262. #2334C22semidirect
263. #2327C22semidirect
264. #2327C22semidirect
267. #2314C22semidirect
269. C4×C4⋊Q8C22semidirect
270. C4×C4⋊Q8C22semidirect
271. C4×C4⋊Q8C22semidirect
272. C4×C4⋊Q8C22semidirect
273. C4×C4⋊Q8C22semidirect
274. C4×C4⋊Q8C22semidirect
277. C4×#125C22semidirect
278. C4×#125C22semidirect
296. #2274C22semidirect

Maximal subgroups

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

subgroupindex
#598642
#598632
#598622
#598202
#594422
#594362
#594352
#594292
#594262
#593332
#593322
#592062
#592032
#591982
#591972
#477642
#477632
#425302
#425232
#424732
#424662
#423182
#376322
#360792
#359702
#359522
#358282
#357702
#349662
#349652
C2×#25632
#342432
#342092
#341942