Finite Group Databasebeta

← #7673911

Subgroups — #7673911

Order 512.

5326 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45315C212yesmaximal, complemented
2#45302C212yesmaximal, complemented
3#45205C212yesmaximal, complemented
4#45076C212yesmaximal, complemented
5#45075C212yesmaximal, complemented
6#45048C212yesmaximal, complemented
7#45048C212yesmaximal, complemented
8#45047C212yesmaximal, complemented
9#39275C212yesmaximal, complemented
10#39272C212yesmaximal, complemented
11#39270C212yesmaximal, complemented
12#39269C212yesmaximal, complemented
13#39265C214yesmaximal, complemented
14#39264C214yesmaximal, complemented
15#39202C212yesmaximal, complemented
16#39201C212yesmaximal, complemented
17#39198C214yesmaximal, complemented
18#39197C212yesmaximal, complemented
19#39196C212yesmaximal, complemented
20#39195C214yesmaximal, complemented
21#35584C211yesmaximal, characteristic, complemented
22#35565C211yesmaximal, characteristic
23#35542C211yesmaximal, characteristic, complemented
24#35516C211yesmaximal, characteristic, complemented
25#35264C211yesmaximal, characteristic, complemented
26#35254C211yesmaximal, characteristic, complemented
27#35158C211yesmaximal, characteristic, complemented
28#35152C211yesmaximal, characteristic, complemented
29#34635C211yesmaximal, characteristic, complemented
30#34272C211yesmaximal, characteristic, complemented
31#34271C211yesmaximal, characteristic, complemented
32#34267C211yesmaximal, characteristic, complemented
33#34265C211yesmaximal, characteristic, complemented
34#34065C211yesmaximal, characteristic, complemented
35C2×#2324C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#535C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C22×#121C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C22×C4×D4C2211yescharacteristic
47C22×#117C2211yescharacteristic
48#2861C2212yescomplemented
49#2858C2212yescomplemented
50#2854C2212yescomplemented
51#2854C2212yescomplemented
52#2850C2214yes—
53#2849C2214yes—
54#2807C2214yescomplemented
55#2804C2214yescomplemented
56#2803C2214yescomplemented
57#2803C2214yescomplemented
58#2803C2214yescomplemented
59#2803C2214yescomplemented
60#2798C2214yescomplemented
61#2797C2214yescomplemented
62#2797C2214yescomplemented
63#2797C2214yescomplemented
64#2797C2214yescomplemented
65#2797C2214yescomplemented
66#2796C2214yescomplemented
67#2796C2214yescomplemented
68#2773C2214yescomplemented
69#2771C2214yescomplemented
70#2754C2214yescomplemented
71#2754C2214yescomplemented
72#2752C2214yescomplemented
73#2752C2214yescomplemented
74#2751C2214yescomplemented
75#2751C2214yescomplemented
76#2724C2214yescomplemented
77#2712C2214yescomplemented
78#2712C2214yescomplemented
79#2710C2214yescomplemented
80#2710C2214yescomplemented
81#2710C2214yescomplemented
82#2710C2214yescomplemented
83#2710C2214yescomplemented
84#2709C2214yescomplemented
85#2709C2214yescomplemented
86#2641C2212yescomplemented
87#2640C2212yescomplemented
88#2639C2214yes—
89#2625C2211yescharacteristic, complemented
90#2625C2211yescharacteristic, complemented
91#2625C2211yescharacteristic, complemented
92#2625C2211yescharacteristic, complemented
93#2624C2212yescomplemented
94#2624C2212yescomplemented
95#2624C2211yescharacteristic, complemented
96#2624C2211yescharacteristic, complemented
97#2624C2211yescharacteristic, complemented
98#2624C2211yescharacteristic, complemented
99#2623C2212yes—
100#2623C2212yes—
101#2622C2214yes—
102#2622C2212yes—
103#2622C2212yes—
104#2602C2214yescomplemented
105#2600C2214yescomplemented
106#2597C2214yescomplemented
107#2597C2214yescomplemented
108#2595C2214yescomplemented
109#2595C2214yescomplemented
110#2593C2214yescomplemented
111#2593C2214yescomplemented
112#2592C2214yescomplemented
113#2589C2214yescomplemented
114#2580C2214yescomplemented
115#2575C2214yescomplemented
116#2563C2212yescomplemented
117#2562C2212yescomplemented
118#2562C2212yescomplemented
119#2561C2214yes—
120#2557C2214yescomplemented
121#2557C2214yescomplemented
122#2548C2214yescomplemented
123#2548C2214yescomplemented
124#2547C2212yescomplemented
125#2544C2214yescomplemented
126#2544C2214yescomplemented
127#2541C2212yes—
128#2541C2212yes—
129#2541C2212yes—
130#2541C2212yes—
131#2540C2212yes—
132#2540C2212yes—
133#2540C2212yes—
134#2540C2212yes—
135#2539C2214yes—
136#2516C2214yescomplemented
137#2516C2214yescomplemented
138#2513C2214yescomplemented
139#2513C2214yescomplemented
140#2513C2214yescomplemented
141#2492C2212yescomplemented
142#2492C2212yescomplemented
143#2492C2212yescomplemented
144#2491C2212yes—
145#2491C2212yes—
146#2491C2212yes—
147#2491C2212yes—
148#2491C2212yescomplemented
149#2491C2212yescomplemented
150#2491C2212yescomplemented
151#2491C2212yescomplemented
152#2491C2212yescomplemented
153#2490C2212yes—
154#2490C2212yes—
155#2490C2212yes—
156#2490C2212yes—
157#2490C2212yescomplemented
158#2490C2212yescomplemented
159#2490C2212yescomplemented
160#2490C2212yescomplemented
161#2490C2212yescomplemented
162#2489C2212yescomplemented
163#2489C2212yescomplemented
164#2489C2212yescomplemented
165#2488C2214yes—
166#2487C2212yescomplemented
167#2486C2212yescomplemented
168#2485C2212yescomplemented
169#2485C2212yescomplemented
170#2472C2214yes—
171#2472C2214yes—
172#2472C2214yes—
173#2459C2214yescomplemented
174#2458C2214yescomplemented
175#2458C2214yescomplemented
176#2455C2214yescomplemented
177#2448C2212yescomplemented
178#2448C2214yescomplemented
179#2448C2212yescomplemented
180#2448C2214yescomplemented
181#2447C2214yescomplemented
182#2447C2212yescomplemented
183#2447C2212yescomplemented
184#2445C2214yescomplemented
185#2445C2214yescomplemented
186#2445C2212yescomplemented
187#2445C2212yescomplemented
188#2445C2212yescomplemented
189#2445C2212yescomplemented
190#2435C2214yes—
191#2433C2214yes—
192#2423C2212yescomplemented
193#2422C2212yescomplemented
194#2422C2212yescomplemented
195#2422C2212yescomplemented
196#2421C2212yescomplemented
197#2420C2212yescomplemented
198#2420C2212yescomplemented
199#2420C2212yescomplemented
200#2419C2214yes—
201#2418C2214yes—
202#2418C2214yes—
203#2418C2214yes—
204#2395C2212yescomplemented
205#2395C2212yescomplemented
206#2395C2212yescomplemented
207#2395C2212yescomplemented
208#2370C2212yescomplemented
209#2370C2212yescomplemented
210#2370C2212yescomplemented
211#2370C2212yescomplemented
212#2370C2212yescomplemented
213#2370C2212yescomplemented
214#2369C2212yescomplemented
215#2369C2212yescomplemented
216#2369C2212yescomplemented
217#2368C2214yes—
218#2367C2212yescomplemented
219#2367C2212yescomplemented
220#2366C2212yescomplemented
221#2366C2212yescomplemented
222#2365C2212yescomplemented
223#2365C2212yescomplemented
224#2365C2212yescomplemented
225#2364C2214yes—
226#2363C2212yescomplemented
227#2363C2212yescomplemented
228#2363C2212yescomplemented
229#2362C2212yescomplemented
230#2361C2214yes—
231#2361C2212yescomplemented
232#2361C2212yescomplemented
233#2361C2212yescomplemented
234#2360C2214yes—
235#2360C2212yescomplemented
236#2331C2212yescomplemented
237#2330C2212yescomplemented
238#2329C2214yes—
239#2324C2212yes—
240#2324C2212yes—
241#2324C2212yes—
242#2324C2212yes—
243#2324C2212yes—
244#2324C2212yes—
245#2324C2212yes—
246#2324C2212yes—
247#2324C2211yescharacteristic, complemented
248#2324C2211yescharacteristic, complemented
249#2324C2211yescharacteristic, complemented
250#2324C2211yescharacteristic, complemented
251#2324C2212yescomplemented
252#2323C2211yescharacteristic, complemented
253#2323C2211yescharacteristic, complemented
254#2323C2211yescharacteristic, complemented
255#2323C2211yescharacteristic, complemented
256#2323C2212yescomplemented
257#2322C2212yes—
258#2322C2212yes—
259#2321C2212yes—
260#2321C2212yes—
261#2321C2214yes—
262#2317C2211yescharacteristic
263#2316C2211yescharacteristic
264#2311C2211yescharacteristic
265#2311C2211yescharacteristic
266#2311C2211yescharacteristic
267#2309C2211yescharacteristic
268#2309C2211yescharacteristic
269C4×C4⋊Q8C2212yescomplemented
270C4×#125C2212yescomplemented
271C4×C22⋊Q8C2214yes—
272C4×C22⋊Q8C2212yescomplemented
273C4×#121C2212yescomplemented
274C4×#120C2214yes—
275#2297C2211yescharacteristic
276#2297C2211yescharacteristic
277#2297C2211yescharacteristic
278#2296C2211yescharacteristic
279#2296C2211yescharacteristic
280#2296C2211yescharacteristic
281#2293C2212yescomplemented
282#2293C2212yescomplemented
283C2×#390C2212yes—
284C2×#390C2211yescharacteristic
285C2×#389C2211yescharacteristic
286#2290C2212yescomplemented
287#2290C2212yescomplemented
288C2×#388C2212yes—
289C2×#386C2212yes—
290C2×#385C2212yes—
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293C2×#380C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C23×D4C2312yes—
303C24×C4C2311yescharacteristic
304C24×C4C2312yes—
305#544—28no—
306#544—28no—
307#537—28no—
308#535—28no—
309#535—44no—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#127C2314yes—
317C2×#127C2314yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2314yes—
325C2×#124C2314yes—
326C2×#124C2314yes—
327C2×#124C2314yes—
328C2×#124C2314yes—
329C2×#124C2314yes—
330#525—28no—
331#525—44no—
332C2×#123C2312yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2311yescharacteristic
347C2×#121—28no—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2311yescharacteristic
362C2×#121C2311yescharacteristic
363C2×#120C2312yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366C2×#120C2312yes—
367#520—44no—
368C4×#41—44no—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2314yes—
373C2×C4×Q8C2314yes—
374C2×C4×D4—44no—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2314yes—
392C2×#117—44no—
393C2×#117C2311yescharacteristic
394C2×#117C2311yescharacteristic
395C2×#117C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2311yescharacteristic
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2312yes—
403C2×#117C2311yescharacteristic
404C2×#117C2311yescharacteristic
405C2×#117C2311yescharacteristic
406C2×#117C2311yescharacteristic
407C2×#117C2312yes—
408C2×#117C2311yescharacteristic
409C22×C4⋊C4C2311yescharacteristic
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2311yescharacteristic
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2311yescharacteristic
416C22×C22⋊C4C2312yes—
417C22×C22⋊C4C2311yescharacteristic
418C22×C22⋊C4C2311yescharacteristic
419C22×C22⋊C4C2312yes—
420C22×C22⋊C4C2312yes—
421C22×C22⋊C4C2312yes—
422C22×C22⋊C4C2312yes—
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2312yes—
426C22×C42C2312yes—
427#400C2314yes—
428#400C2314yes—
429#400C2312yes—
430#400C2314yes—
431#400C2314yes—
432#400C2312yes—
433#400C2314yes—
434#400C2312yes—
435#400C2312yes—
436#399C2314yes—
437#399C2312yes—
438#399C2314yes—
439#399C2314yes—
440#399C2312yes—
441#399C2312yes—
442#399C2312yes—
443#399C2314yes—
444#399C2314yes—
445#398C2312yes—
446#398C2312yes—
447#398C2314yes—
448#398C2312yes—
449#398C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2314yes—
455#397C2312yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2314yes—
464#397C2312yes—
465#397C2312yes—
466#397C2312yes—
467#397C2312yes—
468#397C2312yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2312yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2312yes—
492#394C2314yes—
493#394C2312yes—
494#394C2312yes—
495#394C2312yes—
496#394C2312yes—
497#394C2312yes—
498#394C2312yes—
499#394C2312yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#391C2314yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2311yescharacteristic
528#391C2311yescharacteristic
529#391C2311yescharacteristic
530#391C2314yes—
531#391C2314yes—
532#391C2314yes—
533#391C2314yes—
534#391C2314yes—
535#391C2314yes—
536#391C2311yescharacteristic
537#391C2311yescharacteristic
538#391C2314yes—
539#391C2311yescharacteristic
540#390C2314yes—
541#390C2312yes—
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#390C2312yes—
556#390C2314yes—
557#390C2314yes—
558#390C2314yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#390C2314yes—
565#390C2314yes—
566#390C2311yescharacteristic
567#390C2311yescharacteristic
568#390C2311yescharacteristic
569#390C2314yes—
570#390C2314yes—
571#390C2314yes—
572#390C2314yes—
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2314yes—
577#390C2314yes—
578#390C2314yes—
579#390C2311yescharacteristic
580#390C2311yescharacteristic
581#390C2311yescharacteristic
582#390C2314yes—
583#390C2314yes—
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2311yescharacteristic
587#389C2314yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2314yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2314yes—
607#389C2314yes—
608#389C2311yescharacteristic
609#389C2314yes—
610#389C2314yes—
611#389C2311yescharacteristic
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#389C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2312yes—
687#386C2312yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#386C2312yes—
692#386C2312yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2312yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2312yes—
709#386C2312yes—
710#386C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2312yes—
714#385C2312yes—
715#385C2312yes—
716#385C2312yes—
717#385C2312yes—
718#385C2312yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2312yes—
726#385C2314yes—
727#385C2312yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2312yes—
732#385C2312yes—
733#384C2312yes—
734#382C2312yes—
735#382C2314yes—
736#382C2314yes—
737#381C2312yes—
738#381C2312yes—
739#381C2314yes—
740#381C2314yes—
741#381C2314yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2314yes—
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2312yes—
760#380C2311yescharacteristic
761#379C2314yes—
762#379C2314yes—
763#379C2312yes—
764#379C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817#376C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C43C2312yes—
822C25C2412yes—
823C25C2411yescharacteristic
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C22×Q8C2411yescharacteristic
831C22×Q8C2411yescharacteristic
832C22×Q8C2414yes—
833C22×Q8C2414yes—
834C22×D4—24no—
835C22×D4—24no—
836C22×D4—28no—
837C22×D4—24no—
838C22×D4—82no—
839C22×D4—82no—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C23×C4—24no—
858C23×C4—24no—
859C23×C4—24no—
860C23×C4—44no—
861C23×C4—82no—
862C23×C4—82no—
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2412yes—
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2412yes—
875C23×C4C2411yescharacteristic
876C23×C4C2414yes—
877C23×C4C2412yes—
878C23×C4C2414yes—
879C23×C4C2414yes—
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2411yescharacteristic
883C4⋊Q8—28no—
884C4⋊Q8—28no—
885C4⋊Q8—28no—
886C4⋊Q8—28no—
887#127—28no—
888#127—44no—
889#127—84no—
890#127—84no—
891#125—28no—
892#125—28no—
893#125—28no—
894#125—28no—
895#124—28no—
896#124—44no—
897#124—84no—
898#124—84no—
899#124—84no—
900#124—84no—
901#124—84no—
902#124—84no—
903#123—28no—
904#123—44no—
905#123—84no—
906#123—84no—
907#123—84no—
908#123—84no—
909#123—84no—
910C22⋊Q8—216no—
911C22⋊Q8—24no—
912C22⋊Q8—24no—
913C22⋊Q8—28no—
914C22⋊Q8—28no—
915C22⋊Q8—216no—
916C22⋊Q8—42no—
917C22⋊Q8—42no—
918#121—216no—
919#121—28no—
920#121—28no—
921#121—28no—
922#121—28no—
923#121—24no—
924#121—24no—
925#121—28no—
926#121—28no—
927#121—28no—
928#121—28no—
929#121—42no—
930#121—42no—
931#121—44no—
932#121—44no—
933#120—28no—
934#120—216no—
935#120—44no—
936#120—48no—
937C4×Q8—42no—
938C4×Q8—42no—
939C4×Q8—44no—
940C4×Q8—84no—
941C4×Q8—84no—
942C4×D4—28no—
943C4×D4—28no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—42no—
949C4×D4—42no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—48no—
956C4×D4—84no—
957C4×D4—84no—
958C4×D4—84no—
959#117—24no—
960#117—24no—
961#117—24no—
962#117—24no—
963#117—24no—
964#117—42no—
965#117—42no—
966#117—42no—
967#117—42no—
968#117—42no—
969#117—42no—
970#117—42no—
971#117—42no—
972#117—44no—
973#117—44no—
974#117#4118yes—
975C2×C4⋊C4—24no—
976C2×C4⋊C4—24no—
977C2×C4⋊C4—44no—
978C2×C4⋊C4—42no—
979C2×C4⋊C4—42no—
980C2×C4⋊C4—82no—
981C2×C4⋊C4#4118yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C22⋊C4—28no—
1041C2×C22⋊C4—42no—
1042C2×C22⋊C4—42no—
1043C2×C22⋊C4—44no—
1044C2×C22⋊C4—82no—
1045C2×C22⋊C4—82no—
1046C2×C22⋊C4—82no—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C42—24no—
1123C2×C42—24no—
1124C2×C42—44no—
1125C2×C42—82no—
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2412yes—
1134C2×C42C2411yescharacteristic
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2414yes—
1140C2×C42C2414yes—
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2414yes—
1144C2×C42C2414yes—
1145C2×C42C2412yes—
1146C2×C42C2414yes—
1147C2×C42C2414yes—
1148C2×C42C2414yes—
1149C2×C42C2414yes—
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2414yes—
1153C2×C42C2412yes—
1154C2×C42C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213C24—24no—
1214C24—22no—
1215C24—22no—
1216C24—24no—
1217C24—22no—
1218C24—24no—
1219C24—41no—
1220C24—42no—
1221C24—42no—
1222C24—42no—
1223C24—41no—
1224C24—41no—
1225C24—41no—
1226C24—42no—
1227C24C2511yescharacteristic
1228C24C2511yescharacteristic
1229C24C2514yes—
1230C24C2512yes—
1231C24C2512yes—
1232C24C2511yescharacteristic
1233#41—416no—
1234#41—416no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—22no—
1238C2×Q8—22no—
1239C2×Q8—28no—
1240C2×Q8—28no—
1241C2×Q8—22no—
1242C2×Q8—22no—
1243C2×Q8—44no—
1244C2×Q8—44no—
1245C2×Q8—44no—
1246C2×Q8—44no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—24no—
1260C2×D4—22no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—28no—
1264C2×D4—28no—
1265C2×D4—28no—
1266C2×D4—28no—
1267C2×D4—28no—
1268C2×D4—24no—
1269C2×D4—22no—
1270C2×D4—24no—
1271C2×D4—22no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—416no—
1299C2×D4—816no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—24no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—24no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—24no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—24no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—41no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—42no—
1339C22×C4—42no—
1340C22×C4—41no—
1341C22×C4—42no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—42no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—41no—
1352C22×C4—42no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—416no—
1357C22×C4—816no—
1358C22×C4C2×#4118yes—
1359C22×C4C2×#4114yes—
1360C22×C4C2×#4114yes—
1361C22×C4H(5,𝔽2)14yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2514yes—
1377C22×C4C2514yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C22×C4C2512yes—
1382C22×C4C2511yescharacteristic
1383C22×C4C2512yes—
1384C22×C4C2512yes—
1385C22×C4C2511yescharacteristic
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2514yes—
1389C22×C4C2511yescharacteristic
1390C22×C4C2511yescharacteristic
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—28no—
1402C4⋊C4—28no—
1403C4⋊C4—28no—
1404C4⋊C4—28no—
1405C4⋊C4—28no—
1406C4⋊C4—28no—
1407C4⋊C4—28no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—41no—
1415C4⋊C4—41no—
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—41no—
1420C4⋊C4—41no—
1421C4⋊C4—41no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—42no—
1445C4⋊C4C2×#4118yes—
1446C4⋊C4C2×#4118yes—
1447C4⋊C4C2×#4114yes—
1448C4⋊C4C2×#4114yes—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—28no—
1455C22⋊C4—28no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—28no—
1461C22⋊C4—28no—
1462C22⋊C4—28no—
1463C22⋊C4—28no—
1464C22⋊C4—41no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4C2×#4118yes—
1524C42—24no—
1525C42—24no—
1526C42—24no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—22no—
1534C42—22no—
1535C42—24no—
1536C42—24no—
1537C42—42no—
1538C42—42no—
1539C42—44no—
1540C42—44no—
1541C42—42no—
1542C42—44no—
1543C42—44no—
1544C42—44no—
1545C42—44no—
1546C42—42no—
1547C42—44no—
1548C42—44no—
1549C42—44no—
1550C42—42no—
1551C42—42no—
1552C42C2×#4118yes—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—24no—
1563C23—24no—
1564C23—21no—
1565C23—21no—
1566C23—22no—
1567C23—21no—
1568C23—21no—
1569C23—22no—
1570C23—24no—
1571C23—22no—
1572C23—21no—
1573C23—21no—
1574C23—22no—
1575C23—22no—
1576C23—24no—
1577C23—22no—
1578C23—21no—
1579C23—21no—
1580C23—24no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—24no—
1585C23—21no—
1586C23—21no—
1587C23—22no—
1588C23—21no—
1589C23—24no—
1590C23—21no—
1591C23—22no—
1592C23—44no—
1593C23—48no—
1594C23—48no—
1595C23—44no—
1596C23—44no—
1597C23—48no—
1598C23—84no—
1599C23—82no—
1600C23—84no—
1601C23—82no—
1602C23—84no—
1603C23—82no—
1604C23—82no—
1605C23—84no—
1606C23C22×#4112yes—
1607C23C22×#4112yes—
1608C23C2×H(5,𝔽2)12yes—
1609C23C2611yescharacteristic
1610Q8—44no—
1611Q8—44no—
1612Q8—88no—
1613Q8—88no—
1614D4—48no—
1615D4—48no—
1616D4—48no—
1617D4—48no—
1618D4—44no—
1619D4—44no—
1620D4—88no—
1621D4—88no—
1622D4—84no—
1623D4—88no—
1624D4—84no—
1625D4—88no—
1626D4—88no—
1627D4—84no—
1628D4—84no—
1629D4—164no—
1630D4—164no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—24no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—24no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—24no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—24no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—48no—
1710C2×C4—44no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—48no—
1718C2×C4—48no—
1719C2×C4—84no—
1720C2×C4—82no—
1721C2×C4—82no—
1722C2×C4—84no—
1723C2×C4—84no—
1724C2×C4—84no—
1725C2×C4—88no—
1726C2×C4—88no—
1727C2×C4—164no—
1728C2×C4#559116yes—
1729C2×C4C22×#4114yes—
1730C2×C4C22×#4114yes—
1731C2×C4C22×#4118yes—
1732C2×C4C22×#4112yes—
1733C2×C4C22×#4112yes—
1734C2×C4C22×#4112yes—
1735C2×C4C22×#4112yes—
1736C2×C4C2×H(5,𝔽2)12yes—
1737C2×C4C2×H(5,𝔽2)12yes—
1738C22—22no—
1739C22—22no—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—41no—
1745C22—41no—
1746C22—42no—
1747C22—42no—
1748C22—44no—
1749C22—42no—
1750C22—42no—
1751C22—44no—
1752C22—41no—
1753C22—41no—
1754C22—42no—
1755C22—41no—
1756C22—42no—
1757C22—44no—
1758C22—41no—
1759C22—42no—
1760C22—41no—
1761C22—42no—
1762C22—44no—
1763C22—41no—
1764C22—44no—
1765C22—42no—
1766C22—42no—
1767C22—41no—
1768C22—41no—
1769C22—42no—
1770C22—41no—
1771C22—42no—
1772C22—44no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—42no—
1777C22—42no—
1778C22—44no—
1779C22—88no—
1780C22—816no—
1781C22C2×#55914yes—
1782C22C23×#4111yescharacteristic
1783C22C23×#4111yescharacteristic
1784C22C22×H(5,𝔽2)11yescharacteristic
1785C22H(7,𝔽2)11yescharacteristic
1786C22H(7,𝔽2)11yescharacteristic
1787C22H(7,𝔽2)11yescharacteristic
1788C222−1+611yescharacteristic
1789C4—28no—
1790C4—24no—
1791C4—24no—
1792C4—42no—
1793C4—42no—
1794C4—42no—
1795C4—42no—
1796C4—42no—
1797C4—44no—
1798C4—42no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—44no—
1804C4—42no—
1805C4—42no—
1806C4—41no—
1807C4—41no—
1808C4—41no—
1809C4—42no—
1810C4—41no—
1811C4—42no—
1812C4—41no—
1813C4—41no—
1814C4—42no—
1815C4—42no—
1816C4C2×#55914yes—
1817C4C2×#55914yes—
1818C2—24no—
1819C2—82no—
1820C2—82no—
1821C2—81no—
1822C2—81no—
1823C2—84no—
1824C2C22×#55911yescharacteristic
1825C2#6284611yescharacteristic
1826C2#6285111yescharacteristic
1827C2#6285711yescharacteristic
1828C2#6285811yescharacteristic
1829C2#6287411yescharacteristic
1830C2#6287511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35565C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #45315C2semidirect
2. #45302C2semidirect
3. #45205C2semidirect
4. #45076C2semidirect
5. #45075C2semidirect
6. #45048C2semidirect
7. #45048C2semidirect
8. #45047C2semidirect
9. #39275C2semidirect
10. #39272C2semidirect
11. #39270C2semidirect
12. #39269C2semidirect
13. #39265C2semidirect
14. #39264C2semidirect
15. #39202C2semidirect
16. #39201C2semidirect
17. #39198C2semidirect
18. #39197C2semidirect
19. #39196C2semidirect
20. #39195C2semidirect
21. #35584C2semidirect
23. #35542C2semidirect
24. #35516C2semidirect
25. #35264C2semidirect
26. #35254C2semidirect
27. #35158C2semidirect
28. #35152C2semidirect
29. #34635C2semidirect
30. #34272C2semidirect
31. #34271C2semidirect
32. #34267C2semidirect
33. #34265C2semidirect
34. #34065C2semidirect
35. C2×#2324C2semidirect
48. #2861C22semidirect
49. #2858C22semidirect
50. #2854C22semidirect
51. #2854C22semidirect
54. #2807C22semidirect
55. #2804C22semidirect
56. #2803C22semidirect
57. #2803C22semidirect
58. #2803C22semidirect
59. #2803C22semidirect
60. #2798C22semidirect
61. #2797C22semidirect
62. #2797C22semidirect
63. #2797C22semidirect
64. #2797C22semidirect
65. #2797C22semidirect
66. #2796C22semidirect
67. #2796C22semidirect
68. #2773C22semidirect
69. #2771C22semidirect
70. #2754C22semidirect
71. #2754C22semidirect
72. #2752C22semidirect
73. #2752C22semidirect
74. #2751C22semidirect
75. #2751C22semidirect
76. #2724C22semidirect
77. #2712C22semidirect
78. #2712C22semidirect
79. #2710C22semidirect
80. #2710C22semidirect
81. #2710C22semidirect
82. #2710C22semidirect
83. #2710C22semidirect
84. #2709C22semidirect
85. #2709C22semidirect
86. #2641C22semidirect
87. #2640C22semidirect
89. #2625C22semidirect
90. #2625C22semidirect
91. #2625C22semidirect
92. #2625C22semidirect
93. #2624C22semidirect
94. #2624C22semidirect
95. #2624C22semidirect
96. #2624C22semidirect
97. #2624C22semidirect
98. #2624C22semidirect
104. #2602C22semidirect
105. #2600C22semidirect
106. #2597C22semidirect
107. #2597C22semidirect
108. #2595C22semidirect
109. #2595C22semidirect
110. #2593C22semidirect
111. #2593C22semidirect
112. #2592C22semidirect
113. #2589C22semidirect
114. #2580C22semidirect
115. #2575C22semidirect
116. #2563C22semidirect
117. #2562C22semidirect
118. #2562C22semidirect
120. #2557C22semidirect
121. #2557C22semidirect
122. #2548C22semidirect
123. #2548C22semidirect
124. #2547C22semidirect
125. #2544C22semidirect
126. #2544C22semidirect
136. #2516C22semidirect
137. #2516C22semidirect
138. #2513C22semidirect
139. #2513C22semidirect
140. #2513C22semidirect
141. #2492C22semidirect
142. #2492C22semidirect
143. #2492C22semidirect
148. #2491C22semidirect
149. #2491C22semidirect
150. #2491C22semidirect
151. #2491C22semidirect
152. #2491C22semidirect
157. #2490C22semidirect
158. #2490C22semidirect
159. #2490C22semidirect
160. #2490C22semidirect
161. #2490C22semidirect
162. #2489C22semidirect
163. #2489C22semidirect
164. #2489C22semidirect
166. #2487C22semidirect
167. #2486C22semidirect
168. #2485C22semidirect
169. #2485C22semidirect
173. #2459C22semidirect
174. #2458C22semidirect
175. #2458C22semidirect
176. #2455C22semidirect
177. #2448C22semidirect
178. #2448C22semidirect
179. #2448C22semidirect
180. #2448C22semidirect
181. #2447C22semidirect
182. #2447C22semidirect
183. #2447C22semidirect
184. #2445C22semidirect
185. #2445C22semidirect
186. #2445C22semidirect
187. #2445C22semidirect
188. #2445C22semidirect
189. #2445C22semidirect
192. #2423C22semidirect
193. #2422C22semidirect
194. #2422C22semidirect
195. #2422C22semidirect
196. #2421C22semidirect
197. #2420C22semidirect
198. #2420C22semidirect
199. #2420C22semidirect
204. #2395C22semidirect
205. #2395C22semidirect
206. #2395C22semidirect
207. #2395C22semidirect
208. #2370C22semidirect
209. #2370C22semidirect
210. #2370C22semidirect
211. #2370C22semidirect
212. #2370C22semidirect
213. #2370C22semidirect
214. #2369C22semidirect
215. #2369C22semidirect
216. #2369C22semidirect
218. #2367C22semidirect
219. #2367C22semidirect
220. #2366C22semidirect
221. #2366C22semidirect
222. #2365C22semidirect
223. #2365C22semidirect
224. #2365C22semidirect
226. #2363C22semidirect
227. #2363C22semidirect
228. #2363C22semidirect
229. #2362C22semidirect
231. #2361C22semidirect
232. #2361C22semidirect
233. #2361C22semidirect
235. #2360C22semidirect
236. #2331C22semidirect
237. #2330C22semidirect
247. #2324C22semidirect
248. #2324C22semidirect
249. #2324C22semidirect
250. #2324C22semidirect
251. #2324C22semidirect
252. #2323C22semidirect
253. #2323C22semidirect
254. #2323C22semidirect
255. #2323C22semidirect
256. #2323C22semidirect
269. C4×C4⋊Q8C22semidirect
270. C4×#125C22semidirect
272. C4×C22⋊Q8C22semidirect
273. C4×#121C22semidirect
281. #2293C22semidirect
282. #2293C22semidirect
286. #2290C22semidirect
287. #2290C22semidirect

Maximal subgroups

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

subgroupindex
#453152
#453022
#452052
#450762
#450752
#450482
#450472
#392752
#392722
#392702
#392692
#392652
#392642
#392022
#392012
#391982
#391972
#391962
#391952
#355842
#355652
#355422
#355162
#352642
#352542
#351582
#351522
#346352
#342722
#342712
#342672
#342652
#340652
C2×#23242