Finite Group Databasebeta

← #7683762

Subgroups — #7683762

Order 512.

5831 conjugacy classes of subgroups.

The subgroup lattice has 1845 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59481C212yesmaximal, complemented
2#59479C212yesmaximal, complemented
3#59476C212yesmaximal, complemented
4#59474C212yesmaximal, complemented
5#59473C214yesmaximal, complemented
6#59205C212yesmaximal, complemented
7#59204C212yesmaximal, complemented
8#59200C212yesmaximal, complemented
9#59198C212yesmaximal, complemented
10#59168C214yesmaximal, complemented
11#45292C212yesmaximal, complemented
12#45250C212yesmaximal, complemented
13#45171C212yesmaximal, complemented
14#45126C212yesmaximal, complemented
15#45082C212yesmaximal, complemented
16#45026C212yesmaximal, complemented
17#44914C212yesmaximal, complemented
18#44900C212yesmaximal, complemented
19#43245C214yesmaximal, complemented
20#43224C214yesmaximal, complemented
21#35575C211yesmaximal, characteristic, complemented
22#35542C211yesmaximal, characteristic, complemented
23#35532C211yesmaximal, characteristic, complemented
24#35517C211yesmaximal, characteristic, complemented
25#35517C211yesmaximal, characteristic, complemented
26#35516C211yesmaximal, characteristic, complemented
27#34814C211yesmaximal, characteristic, complemented
28C2×#2496C211yesmaximal, characteristic, complemented
29#34738C211yesmaximal, characteristic
30#34253C211yesmaximal, characteristic, complemented
31#34252C211yesmaximal, characteristic, complemented
32#34207C211yesmaximal, characteristic, complemented
33#34206C211yesmaximal, characteristic, complemented
34#34175C211yesmaximal, characteristic, complemented
35#34175C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#551C2214yes—
38C2×#544C2211yescharacteristic, complemented
39C2×#532C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C22×#126C2212yes—
42C2×#525C2211yescharacteristic
43C2×#520C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×#520C2211yescharacteristic
46C2×#520C2211yescharacteristic
47C2×#520C2211yescharacteristic, complemented
48#2798C2214yescomplemented
49#2797C2214yescomplemented
50#2796C2214yescomplemented
51#2782C2214yescomplemented
52#2763C2214yescomplemented
53#2759C2214yescomplemented
54#2758C2214yescomplemented
55#2752C2214yescomplemented
56#2750C2214yescomplemented
57#2749C2214yescomplemented
58#2745C2214yescomplemented
59#2743C2214yescomplemented
60#2743C2214yescomplemented
61#2740C2214yescomplemented
62#2738C2214yescomplemented
63#2737C2214yescomplemented
64#2735C2214yes—
65#2723C2214yescomplemented
66#2723C2214yescomplemented
67#2722C2214yes—
68#2717C2214yes—
69#2705C2214yescomplemented
70#2696C2214yescomplemented
71#2685C2214yes—
72#2612C2214yescomplemented
73#2603C2214yescomplemented
74#2603C2214yescomplemented
75#2601C2214yescomplemented
76#2598C2214yescomplemented
77#2589C2214yescomplemented
78#2588C2214yescomplemented
79#2577C2214yes—
80#2576C2214yescomplemented
81#2575C2214yescomplemented
82#2573C2214yescomplemented
83#2567C2212yescomplemented
84#2566C2212yescomplemented
85#2565C2212yescomplemented
86#2564C2214yescomplemented
87#2563C2212yescomplemented
88#2562C2212yes—
89#2562C2212yescomplemented
90#2560C2214yescomplemented
91#2554C2214yescomplemented
92#2553C2214yes—
93#2547C2212yes—
94#2542C2212yescomplemented
95#2530C2214yes—
96#2526C2214yescomplemented
97#2521C2214yes—
98#2520C2214yescomplemented
99#2518C2214yes—
100#2516C2214yescomplemented
101#2516C2214yescomplemented
102#2510C2214yescomplemented
103#2505C2214yescomplemented
104#2497C2211yescharacteristic
105#2497C2211yescharacteristic, complemented
106#2496C2211yescharacteristic
107#2496C2212yes—
108#2496C2212yes—
109#2496C2212yes—
110#2496C2212yes—
111#2496C2212yescomplemented
112#2496C2212yescomplemented
113#2496C2212yescomplemented
114#2496C2212yescomplemented
115#2496C2211yescharacteristic, complemented
116#2495C2211yescharacteristic
117#2495C2211yescharacteristic, complemented
118#2494C2211yescharacteristic
119#2494C2211yescharacteristic, complemented
120#2493C2212yescomplemented
121#2493C2212yescomplemented
122#2492C2212yescomplemented
123#2491C2212yes—
124#2490C2212yescomplemented
125#2489C2212yes—
126#2488C2214yescomplemented
127#2487C2212yescomplemented
128#2487C2212yescomplemented
129#2487C2212yescomplemented
130#2486C2212yes—
131#2486C2212yescomplemented
132#2486C2212yescomplemented
133#2485C2212yes—
134#2485C2212yescomplemented
135#2485C2212yescomplemented
136#2485C2212yescomplemented
137#2485C2212yescomplemented
138#2485C2212yescomplemented
139#2483C2214yes—
140#2480C2212yes—
141#2480C2214yes—
142#2480C2214yes—
143#2480C2212yes—
144#2479C2214yescomplemented
145#2472C2214yes—
146#2472C2214yes—
147#2471C2214yescomplemented
148#2467C2214yescomplemented
149#2463C2214yescomplemented
150#2454C2212yescomplemented
151#2453C2212yescomplemented
152#2452C2212yescomplemented
153#2451C2212yescomplemented
154#2449C2214yescomplemented
155#2449C2214yescomplemented
156#2448C2212yescomplemented
157#2448C2212yescomplemented
158#2447C2212yescomplemented
159#2447C2212yescomplemented
160#2446C2212yescomplemented
161#2446C2212yescomplemented
162#2445C2212yescomplemented
163#2445C2212yescomplemented
164#2444C2214yescomplemented
165#2444C2214yescomplemented
166#2443C2214yescomplemented
167#2443C2214yescomplemented
168#2442C2212yescomplemented
169#2441C2212yescomplemented
170#2441C2212yescomplemented
171#2441C2212yescomplemented
172#2440C2212yescomplemented
173#2440C2212yescomplemented
174#2440C2212yescomplemented
175#2439C2212yescomplemented
176#2438C2214yescomplemented
177#2438C2214yescomplemented
178#2436C2211yescharacteristic
179#2435C2211yescharacteristic
180#2434C2211yescharacteristic
181#2433C2211yescharacteristic
182#2432C2211yescharacteristic
183#2432C2211yescharacteristic
184#2431C2211yescharacteristic
185#2431C2211yescharacteristic
186#2430C2212yes—
187#2430C2212yes—
188#2423C2212yescomplemented
189#2422C2212yes—
190#2421C2212yes—
191#2420C2212yescomplemented
192#2419C2214yescomplemented
193#2419C2214yescomplemented
194#2419C2214yescomplemented
195#2418C2214yes—
196#2418C2214yes—
197#2417C2214yescomplemented
198#2410C2212yes—
199#2410C2212yes—
200#2401C2212yes—
201#2401C2212yescomplemented
202C2×#400C2212yescomplemented
203C2×#397C2212yes—
204#2388C2212yes—
205#2388C2212yes—
206#2373C2214yes—
207#2368C2214yescomplemented
208#2367C2212yescomplemented
209#2367C2212yescomplemented
210#2366C2212yescomplemented
211#2365C2212yescomplemented
212#2361C2214yescomplemented
213#2361C2214yescomplemented
214#2357C2212yescomplemented
215#2356C2212yescomplemented
216#2355C2212yescomplemented
217#2354C2212yescomplemented
218#2354C2212yescomplemented
219#2354C2212yescomplemented
220#2354C2212yescomplemented
221#2353C2214yescomplemented
222#2353C2214yescomplemented
223#2352C2214yescomplemented
224#2352C2212yescomplemented
225#2352C2212yescomplemented
226D4×C4⋊C4C2212yescomplemented
227D4×C4⋊C4C2212yescomplemented
228D4×C4⋊C4C2212yescomplemented
229#2347C2212yescomplemented
230#2347C2212yescomplemented
231#2346C2212yescomplemented
232#2346C2212yescomplemented
233#2345C2212yescomplemented
234#2345C2212yescomplemented
235#2344C2212yescomplemented
236#2344C2212yescomplemented
237#2341C2212yes—
238#2341C2212yes—
239Q8×C22⋊C4C2212yes—
240Q8×C22⋊C4C2212yes—
241#2339C2212yes—
242#2339C2214yes—
243#2339C2214yes—
244#2339C2212yes—
245D4×C22⋊C4C2214yes—
246D4×C22⋊C4C2214yes—
247D4×C22⋊C4C2212yes—
248D4×C22⋊C4C2212yes—
249#2326C2212yescomplemented
250#2326C2212yescomplemented
251#2325C2214yescomplemented
252#2320C2212yescomplemented
253#2319C2212yescomplemented
254#2318C2214yescomplemented
255#2317C2211yescharacteristic, complemented
256#2316C2211yescharacteristic, complemented
257#2311C2212yes—
258#2311C2212yes—
259#2311C2212yes—
260#2311C2212yes—
261#2311C2211yescharacteristic
262#2311C2211yescharacteristic
263#2311C2211yescharacteristic
264#2311C2211yescharacteristic
265#2311C2211yescharacteristic, complemented
266#2311C2211yescharacteristic, complemented
267#2311C2211yescharacteristic, complemented
268C4×C4⋊Q8C2212yescomplemented
269C4×#127C2212yescomplemented
270C4×#126C2212yes—
271C4×#126C2212yescomplemented
272C4×#121C2214yescomplemented
273C4×#120C2212yes—
274C4×#120C2212yes—
275#2297C2211yescharacteristic
276#2297C2211yescharacteristic
277#2296C2211yescharacteristic, complemented
278#2296C2211yescharacteristic, complemented
279#2295C2212yescomplemented
280#2293C2212yescomplemented
281C2×#389C2211yescharacteristic, complemented
282C2×#389C2211yescharacteristic, complemented
283#2290C2214yescomplemented
284C2×#387C2212yescomplemented
285#2285C2211yescharacteristic, complemented
286C2×#384C2211yescharacteristic, complemented
287#2280C2212yes—
288#2280C2212yes—
289#2280C2211yescharacteristic
290#2280C2211yescharacteristic
291C2×#380C2212yes—
292C2×#380C2212yes—
293C2×#380C2211yescharacteristic
294C2×#380C2211yescharacteristic
295#2274C2211yescharacteristic, complemented
296C4×#117C2211yescharacteristic, complemented
297C2×C4×C4⋊C4C2211yescharacteristic, complemented
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41—28no—
300C22×#41—28no—
301C22×#41—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2311yescharacteristic
306C22×#41C2311yescharacteristic
307C22×#41C2311yescharacteristic
308C22×#41C2311yescharacteristic
309C23×Q8C2311yescharacteristic
310C23×D4C2312yes—
311C23×D4C2311yescharacteristic
312C24×C4C2311yescharacteristic
313C24×C4C2312yes—
314#551—416no—
315#544—44no—
316#532—28no—
317#532—28no—
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2312yes—
322C2×#127C2311yescharacteristic
323C2×#127C2311yescharacteristic
324C2×#126—48no—
325C2×#126C2312yes—
326C2×#126C2314yes—
327C2×#126C2312yes—
328C2×#126C2314yes—
329C2×#126C2314yes—
330C2×#126C2314yes—
331C2×#125C2312yes—
332C2×#125C2312yes—
333C2×#124C2311yescharacteristic
334C2×#124C2311yescharacteristic
335C2×#124C2311yescharacteristic
336C2×#124C2311yescharacteristic
337C2×#124C2314yes—
338#525—44no—
339C2×#123C2312yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2314yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#120C2312yes—
356C2×#120C2312yes—
357C2×#120C2312yes—
358#520—28no—
359#520—28no—
360#520—44no—
361#520—44no—
362#520—44no—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2314yes—
387C2×#117C2311yescharacteristic
388C2×#117C2311yescharacteristic
389C2×#117C2311yescharacteristic
390C2×#117C2311yescharacteristic
391C2×#117C2312yes—
392C2×#117C2312yes—
393C2×#117C2311yescharacteristic
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2314yes—
397C2×#117C2314yes—
398C2×#117C2312yes—
399C22×C4⋊C4C2311yescharacteristic
400C22×C4⋊C4C2311yescharacteristic
401C22×C4⋊C4C2311yescharacteristic
402C22×C4⋊C4C2311yescharacteristic
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C22⋊C4C2311yescharacteristic
413C22×C22⋊C4C2312yes—
414C22×C22⋊C4C2312yes—
415C22×C22⋊C4C2314yes—
416C22×C22⋊C4C2314yes—
417C22×C22⋊C4C2311yescharacteristic
418C22×C42C2311yescharacteristic
419C22×C42C2311yescharacteristic
420C22×C42C2312yes—
421#401C2312yes—
422#401C2312yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2312yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2312yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2312yes—
436#400C2312yes—
437#400C2312yes—
438#400C2312yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#399C2314yes—
444#399C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#397C2312yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2312yes—
478#396C2312yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2312yes—
483#395C2312yes—
484#394C2312yes—
485#394C2314yes—
486#394C2314yes—
487#394C2312yes—
488#394C2314yes—
489#394C2312yes—
490#394C2314yes—
491#394C2314yes—
492#394C2312yes—
493#394C2312yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2312yes—
502#393C2312yes—
503#392C2312yes—
504#392C2312yes—
505#392C2312yes—
506#392C2312yes—
507#392C2312yes—
508#392C2312yes—
509#391C2314yes—
510#391C2312yes—
511#391C2312yes—
512#391C2311yescharacteristic
513#391C2312yes—
514#391C2312yes—
515#391C2314yes—
516#391C2314yes—
517#391C2314yes—
518#391C2314yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#391C2311yescharacteristic
525#391C2314yes—
526#390C2314yes—
527#390C2312yes—
528#390C2312yes—
529#390C2314yes—
530#390C2314yes—
531#390C2314yes—
532#390C2311yescharacteristic
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2314yes—
537#390C2314yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2311yescharacteristic
542#390C2314yes—
543#390C2311yescharacteristic
544#390C2311yescharacteristic
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2314yes—
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
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#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
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#386C2314yes—
636#386C2312yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#386C2314yes—
659#386C2312yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#385C2312yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2314yes—
684#385C2312yes—
685#385C2312yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#384C2312yes—
690#384C2312yes—
691#384C2312yes—
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2312yes—
695#384C2311yescharacteristic
696#383C2312yes—
697#383C2312yes—
698#383C2314yes—
699#383C2314yes—
700#382C2314yes—
701#382C2312yes—
702#382C2314yes—
703#382C2314yes—
704#382C2311yescharacteristic
705#382C2311yescharacteristic
706#381C2314yes—
707#381C2314yes—
708#381C2314yes—
709#381C2314yes—
710#381C2314yes—
711#381C2312yes—
712#381C2312yes—
713#381C2314yes—
714#381C2314yes—
715#380C2311yescharacteristic
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2311yescharacteristic
720#380C2312yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2312yes—
725#380C2314yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2312yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2312yes—
743#380C2314yes—
744#380C2312yes—
745#380C2314yes—
746#380C2314yes—
747#380C2312yes—
748#380C2312yes—
749#380C2314yes—
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#379C2312yes—
756#379C2314yes—
757#379C2314yes—
758#379C2312yes—
759#379C2312yes—
760#379C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811#376C2312yes—
812#376C2314yes—
813#376C2314yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2314yes—
817C2×#95C2314yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2311yescharacteristic
822C2×#95C2311yescharacteristic
823C43C2312yes—
824C25C2411yescharacteristic
825C25C2412yes—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—28no—
829C2×#41—28no—
830C2×#41—24no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—28no—
837C2×#41—28no—
838C2×#41—24no—
839C2×#41—24no—
840C2×#41—24no—
841C2×#41—44no—
842C2×#41—44no—
843C2×#41—42no—
844C2×#41—42no—
845C2×#41—464no—
846C2×#41#4118yes—
847C2×#41#4118yes—
848C22×Q8—24no—
849C22×Q8—24no—
850C22×Q8—42no—
851C22×Q8C2411yescharacteristic
852C22×Q8C2412yes—
853C22×Q8C2411yescharacteristic
854C22×Q8C2411yescharacteristic
855C22×Q8C2414yes—
856C22×D4—28no—
857C22×D4—28no—
858C22×D4—24no—
859C22×D4—24no—
860C22×D4—42no—
861C22×D4—44no—
862C22×D4C2412yes—
863C22×D4C2411yescharacteristic
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2412yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2411yescharacteristic
873C22×D4C2411yescharacteristic
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C23×C4—28no—
878C23×C4—28no—
879C23×C4—24no—
880C23×C4—24no—
881C23×C4—24no—
882C23×C4—44no—
883C23×C4C2412yes—
884C23×C4C2411yescharacteristic
885C23×C4C2411yescharacteristic
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2411yescharacteristic
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2414yes—
902C23×C4C2414yes—
903C23×C4C2411yescharacteristic
904C23×C4C2414yes—
905C23×C4C2414yes—
906C23×C4C2414yes—
907C23×C4C2411yescharacteristic
908C4⋊Q8—24no—
909C4⋊Q8—24no—
910C4⋊Q8—44no—
911C4⋊Q8—44no—
912#127—24no—
913#127—24no—
914#126—216no—
915#126—28no—
916#126—48no—
917#126—44no—
918#126—48no—
919#126—48no—
920#125—44no—
921#125—44no—
922#124—24no—
923#124—24no—
924#124—24no—
925#124—24no—
926#124—48no—
927#123—48no—
928#123—44no—
929#123—48no—
930#123—48no—
931C22⋊Q8—48no—
932C22⋊Q8—48no—
933C22⋊Q8—48no—
934C22⋊Q8—48no—
935C22⋊Q8—42no—
936C22⋊Q8—42no—
937#121—28no—
938#121—28no—
939#121—28no—
940#121—28no—
941#121—42no—
942#121—42no—
943#120—28no—
944#120—44no—
945#120—44no—
946C4×Q8—28no—
947C4×Q8—28no—
948C4×Q8—44no—
949C4×Q8—44no—
950C4×Q8—44no—
951C4×D4—216no—
952C4×D4—216no—
953C4×D4—28no—
954C4×D4—28no—
955C4×D4—28no—
956C4×D4—28no—
957C4×D4—28no—
958C4×D4—28no—
959C4×D4—48no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—48no—
964C4×D4—48no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—48no—
968C4×D4—48no—
969C4×D4—48no—
970#117—28no—
971#117—28no—
972#117—24no—
973#117—24no—
974#117—24no—
975#117—24no—
976#117—24no—
977#117—48no—
978#117—48no—
979#117—44no—
980#117—44no—
981#117—44no—
982C2×C4⋊C4—28no—
983C2×C4⋊C4—28no—
984C2×C4⋊C4—24no—
985C2×C4⋊C4—24no—
986C2×C4⋊C4—24no—
987C2×C4⋊C4—24no—
988C2×C4⋊C4—44no—
989C2×C4⋊C4—44no—
990C2×C4⋊C4—44no—
991C2×C4⋊C4—44no—
992C2×C4⋊C4—44no—
993C2×C4⋊C4—44no—
994C2×C4⋊C4—44no—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C22⋊C4—24no—
1052C2×C22⋊C4—42no—
1053C2×C22⋊C4—44no—
1054C2×C22⋊C4—44no—
1055C2×C22⋊C4—48no—
1056C2×C22⋊C4—48no—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2411yescharacteristic
1121C2×C42—24no—
1122C2×C42—24no—
1123C2×C42—44no—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2414yes—
1130C2×C42C2414yes—
1131C2×C42C2412yes—
1132C2×C42C2414yes—
1133C2×C42C2412yes—
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2414yes—
1143C2×C42C2414yes—
1144C2×C42C2414yes—
1145C2×C42C2414yes—
1146C2×C42C2414yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2411yescharacteristic
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2414yes—
1219#95C2414yes—
1220C24—22no—
1221C24—24no—
1222C24—24no—
1223C24—22no—
1224C24—22no—
1225C24—24no—
1226C24—22no—
1227C24—41no—
1228C24—42no—
1229C24—41no—
1230C24—41no—
1231C24—42no—
1232C24—42no—
1233C24—42no—
1234C24C2511yescharacteristic
1235C24C2512yes—
1236C24C2512yes—
1237C24C2512yes—
1238C24C2511yescharacteristic
1239C24C2511yescharacteristic
1240#41—232no—
1241#41—232no—
1242#41—432no—
1243#41—432no—
1244#41—416no—
1245#41—416no—
1246#41—416no—
1247C2×Q8—22no—
1248C2×Q8—22no—
1249C2×Q8—22no—
1250C2×Q8—22no—
1251C2×Q8—24no—
1252C2×Q8—24no—
1253C2×Q8—22no—
1254C2×Q8—22no—
1255C2×Q8—22no—
1256C2×Q8—42no—
1257C2×Q8—44no—
1258C2×Q8—44no—
1259C2×Q8—44no—
1260C2×Q8—416no—
1261C2×Q8C2×#4114yes—
1262C2×Q8C2×#4114yes—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—22no—
1290C2×D4—24no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—432no—
1305C2×D4—416no—
1306C2×D4C2×#4118yes—
1307C2×D4C2×#4118yes—
1308C2×D4C2×#4114yes—
1309C2×D4C2×#4114yes—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—28no—
1324C22×C4—28no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—24no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—41no—
1357C22×C4—432no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—42no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—41no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—42no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—41no—
1371C22×C4—42no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—416no—
1382C22×C4C2×#4118yes—
1383C22×C4C2×#4118yes—
1384C22×C4C2×#4114yes—
1385C22×C4C2×#4114yes—
1386C22×C4H(5,𝔽2)14yes—
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2512yes—
1393C22×C4C2512yes—
1394C22×C4C2514yes—
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2514yes—
1400C22×C4C2512yes—
1401C22×C4C2511yescharacteristic
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2511yescharacteristic
1405C22×C4C2512yes—
1406C22×C4C2514yes—
1407C22×C4C2512yes—
1408C22×C4C2514yes—
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—24no—
1420C4⋊C4—28no—
1421C4⋊C4—28no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—28no—
1437C4⋊C4—28no—
1438C4⋊C4—28no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—28no—
1447C4⋊C4—24no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—44no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—42no—
1471C4⋊C4—42no—
1472C22⋊C4—28no—
1473C22⋊C4—28no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—22no—
1481C22⋊C4—24no—
1482C22⋊C4—28no—
1483C22⋊C4—24no—
1484C22⋊C4—28no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—24no—
1499C22⋊C4—41no—
1500C22⋊C4—41no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—44no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—42no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4H(5,𝔽2)14yes—
1536C42—22no—
1537C42—22no—
1538C42—22no—
1539C42—22no—
1540C42—22no—
1541C42—22no—
1542C42—22no—
1543C42—22no—
1544C42—28no—
1545C42—28no—
1546C42—24no—
1547C42—24no—
1548C42—28no—
1549C42—24no—
1550C42—24no—
1551C42—24no—
1552C42—24no—
1553C42—24no—
1554C42—44no—
1555C42—42no—
1556C42—42no—
1557C42—44no—
1558C42—44no—
1559C42—44no—
1560C42—44no—
1561C42—44no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—21no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—21no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—21no—
1581C23—21no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—22no—
1590C23—22no—
1591C23—21no—
1592C23—21no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—21no—
1597C23—21no—
1598C23—48no—
1599C23—44no—
1600C23—44no—
1601C23—44no—
1602C23—48no—
1603C23—48no—
1604C23—44no—
1605C23—82no—
1606C23—82no—
1607C23—82no—
1608C23—84no—
1609C23—84no—
1610C23—84no—
1611C23—84no—
1612C23C22×#4114yes—
1613C23C22×#4114yes—
1614C23C22×#4112yes—
1615C23C22×#4112yes—
1616C23C2×H(5,𝔽2)12yes—
1617C23C2×H(5,𝔽2)12yes—
1618C23C2611yescharacteristic
1619Q8—28no—
1620Q8—28no—
1621Q8—48no—
1622Q8—44no—
1623Q8—164no—
1624D4—216no—
1625D4—216no—
1626D4—28no—
1627D4—28no—
1628D4—48no—
1629D4—48no—
1630D4—48no—
1631D4—48no—
1632D4—48no—
1633D4—48no—
1634D4—48no—
1635D4—44no—
1636D4—84no—
1637D4—84no—
1638D4—84no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—216no—
1650C2×C4—216no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—24no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—24no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—24no—
1671C2×C4—22no—
1672C2×C4—24no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—24no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—24no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—24no—
1697C2×C4—21no—
1698C2×C4—24no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—24no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—24no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—48no—
1718C2×C4—44no—
1719C2×C4—44no—
1720C2×C4—44no—
1721C2×C4—48no—
1722C2×C4—48no—
1723C2×C4—44no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—44no—
1727C2×C4—44no—
1728C2×C4—48no—
1729C2×C4—84no—
1730C2×C4—84no—
1731C2×C4—88no—
1732C2×C4—88no—
1733C2×C4—82no—
1734C2×C4—84no—
1735C2×C4—84no—
1736C2×C4—164no—
1737C2×C4—164no—
1738C2×C4—164no—
1739C2×C4#551116yescomplemented
1740C2×C4C22×#4114yes—
1741C2×C4C22×#4114yes—
1742C2×C4C22×#4112yes—
1743C2×C4C22×#4112yes—
1744C2×C4C22×#4112yes—
1745C2×C4C22×#4112yes—
1746C2×C4C2×H(5,𝔽2)12yes—
1747C2×C4C2×H(5,𝔽2)12yes—
1748C2×C4C2×H(5,𝔽2)12yes—
1749C2×C4C2×H(5,𝔽2)12yes—
1750C2×C4#58512yes—
1751C22—22no—
1752C22—22no—
1753C22—22no—
1754C22—22no—
1755C22—22no—
1756C22—22no—
1757C22—24no—
1758C22—24no—
1759C22—22no—
1760C22—22no—
1761C22—24no—
1762C22—24no—
1763C22—22no—
1764C22—24no—
1765C22—24no—
1766C22—42no—
1767C22—42no—
1768C22—42no—
1769C22—41no—
1770C22—42no—
1771C22—41no—
1772C22—42no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—41no—
1777C22—41no—
1778C22—42no—
1779C22—42no—
1780C22—41no—
1781C22—41no—
1782C22—42no—
1783C22—41no—
1784C22—42no—
1785C22—41no—
1786C22—42no—
1787C22—41no—
1788C22—41no—
1789C22—42no—
1790C22—41no—
1791C22—42no—
1792C22—88no—
1793C22—816no—
1794C22C2×#55114yes—
1795C22C23×#4111yescharacteristic
1796C22C23×#4111yescharacteristic
1797C22C22×H(5,𝔽2)11yescharacteristic
1798C22C22×H(5,𝔽2)11yescharacteristic
1799C22C2×#58511yescharacteristic
1800C222−1+611yescharacteristic
1801C222−1+611yescharacteristic
1802C4—22no—
1803C4—22no—
1804C4—22no—
1805C4—24no—
1806C4—24no—
1807C4—41no—
1808C4—41no—
1809C4—42no—
1810C4—44no—
1811C4—42no—
1812C4—44no—
1813C4—42no—
1814C4—41no—
1815C4—42no—
1816C4—41no—
1817C4—41no—
1818C4—44no—
1819C4—44no—
1820C4—42no—
1821C4—42no—
1822C4—42no—
1823C4—42no—
1824C4—42no—
1825C4—42no—
1826C4—41no—
1827C4—41no—
1828C4—42no—
1829C4C2×#55114yes—
1830C4C2×#55114yes—
1831C2—24no—
1832C2—44no—
1833C2—44no—
1834C2—42no—
1835C2—82no—
1836C2—81no—
1837C2C22×#55111yescharacteristic
1838C2#6283411yescharacteristic
1839C2#6288811yescharacteristic
1840C2#6298511yescharacteristic
1841C2#6298511yescharacteristic
1842C2#6299311yescharacteristic
1843C2#6300911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34738C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59481C2semidirect
2. #59479C2semidirect
3. #59476C2semidirect
4. #59474C2semidirect
5. #59473C2semidirect
6. #59205C2semidirect
7. #59204C2semidirect
8. #59200C2semidirect
9. #59198C2semidirect
10. #59168C2semidirect
11. #45292C2semidirect
12. #45250C2semidirect
13. #45171C2semidirect
14. #45126C2semidirect
15. #45082C2semidirect
16. #45026C2semidirect
17. #44914C2semidirect
18. #44900C2semidirect
19. #43245C2semidirect
20. #43224C2semidirect
21. #35575C2semidirect
22. #35542C2semidirect
23. #35532C2semidirect
24. #35517C2semidirect
25. #35517C2semidirect
26. #35516C2semidirect
27. #34814C2semidirect
28. C2×#2496C2semidirect
30. #34253C2semidirect
31. #34252C2semidirect
32. #34207C2semidirect
33. #34206C2semidirect
34. #34175C2semidirect
35. #34175C2semidirect
38. C2×#544C22semidirect
47. C2×#520C22semidirect
48. #2798C22semidirect
49. #2797C22semidirect
50. #2796C22semidirect
51. #2782C22semidirect
52. #2763C22semidirect
53. #2759C22semidirect
54. #2758C22semidirect
55. #2752C22semidirect
56. #2750C22semidirect
57. #2749C22semidirect
58. #2745C22semidirect
59. #2743C22semidirect
60. #2743C22semidirect
61. #2740C22semidirect
62. #2738C22semidirect
63. #2737C22semidirect
65. #2723C22semidirect
66. #2723C22semidirect
69. #2705C22semidirect
70. #2696C22semidirect
72. #2612C22semidirect
73. #2603C22semidirect
74. #2603C22semidirect
75. #2601C22semidirect
76. #2598C22semidirect
77. #2589C22semidirect
78. #2588C22semidirect
80. #2576C22semidirect
81. #2575C22semidirect
82. #2573C22semidirect
83. #2567C22semidirect
84. #2566C22semidirect
85. #2565C22semidirect
86. #2564C22semidirect
87. #2563C22semidirect
89. #2562C22semidirect
90. #2560C22semidirect
91. #2554C22semidirect
94. #2542C22semidirect
96. #2526C22semidirect
98. #2520C22semidirect
100. #2516C22semidirect
101. #2516C22semidirect
102. #2510C22semidirect
103. #2505C22semidirect
105. #2497C22semidirect
111. #2496C22semidirect
112. #2496C22semidirect
113. #2496C22semidirect
114. #2496C22semidirect
115. #2496C22semidirect
117. #2495C22semidirect
119. #2494C22semidirect
120. #2493C22semidirect
121. #2493C22semidirect
122. #2492C22semidirect
124. #2490C22semidirect
126. #2488C22semidirect
127. #2487C22semidirect
128. #2487C22semidirect
129. #2487C22semidirect
131. #2486C22semidirect
132. #2486C22semidirect
134. #2485C22semidirect
135. #2485C22semidirect
136. #2485C22semidirect
137. #2485C22semidirect
138. #2485C22semidirect
144. #2479C22semidirect
147. #2471C22semidirect
148. #2467C22semidirect
149. #2463C22semidirect
150. #2454C22semidirect
151. #2453C22semidirect
152. #2452C22semidirect
153. #2451C22semidirect
154. #2449C22semidirect
155. #2449C22semidirect
156. #2448C22semidirect
157. #2448C22semidirect
158. #2447C22semidirect
159. #2447C22semidirect
160. #2446C22semidirect
161. #2446C22semidirect
162. #2445C22semidirect
163. #2445C22semidirect
164. #2444C22semidirect
165. #2444C22semidirect
166. #2443C22semidirect
167. #2443C22semidirect
168. #2442C22semidirect
169. #2441C22semidirect
170. #2441C22semidirect
171. #2441C22semidirect
172. #2440C22semidirect
173. #2440C22semidirect
174. #2440C22semidirect
175. #2439C22semidirect
176. #2438C22semidirect
177. #2438C22semidirect
188. #2423C22semidirect
191. #2420C22semidirect
192. #2419C22semidirect
193. #2419C22semidirect
194. #2419C22semidirect
197. #2417C22semidirect
201. #2401C22semidirect
202. C2×#400C22semidirect
207. #2368C22semidirect
208. #2367C22semidirect
209. #2367C22semidirect
210. #2366C22semidirect
211. #2365C22semidirect
212. #2361C22semidirect
213. #2361C22semidirect
214. #2357C22semidirect
215. #2356C22semidirect
216. #2355C22semidirect
217. #2354C22semidirect
218. #2354C22semidirect
219. #2354C22semidirect
220. #2354C22semidirect
221. #2353C22semidirect
222. #2353C22semidirect
223. #2352C22semidirect
224. #2352C22semidirect
225. #2352C22semidirect
226. D4×C4⋊C4C22semidirect
227. D4×C4⋊C4C22semidirect
228. D4×C4⋊C4C22semidirect
229. #2347C22semidirect
230. #2347C22semidirect
231. #2346C22semidirect
232. #2346C22semidirect
233. #2345C22semidirect
234. #2345C22semidirect
235. #2344C22semidirect
236. #2344C22semidirect
249. #2326C22semidirect
250. #2326C22semidirect
251. #2325C22semidirect
252. #2320C22semidirect
253. #2319C22semidirect
254. #2318C22semidirect
255. #2317C22semidirect
256. #2316C22semidirect
265. #2311C22semidirect
266. #2311C22semidirect
267. #2311C22semidirect
268. C4×C4⋊Q8C22semidirect
269. C4×#127C22semidirect
271. C4×#126C22semidirect
272. C4×#121C22semidirect
277. #2296C22semidirect
278. #2296C22semidirect
279. #2295C22semidirect
280. #2293C22semidirect
281. C2×#389C22semidirect
282. C2×#389C22semidirect
283. #2290C22semidirect
284. C2×#387C22semidirect
285. #2285C22semidirect
286. C2×#384C22semidirect
295. #2274C22semidirect
296. C4×#117C22semidirect
297. C2×C4×C4⋊C4C22semidirect
1739. C2×C4#551semidirect

Maximal subgroups

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

subgroupindex
#594812
#594792
#594762
#594742
#594732
#592052
#592042
#592002
#591982
#591682
#452922
#452502
#451712
#451262
#450822
#450262
#449142
#449002
#432452
#432242
#355752
#355422
#355322
#355172
#355162
#348142
C2×#24962
#347382
#342532
#342522
#342072
#342062
#341752