Finite Group Databasebeta

← #7987459

Subgroups — #7987459

Order 512.

5176 conjugacy classes of subgroups.

The subgroup lattice has 1752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59843C212yesmaximal, complemented
2#59821C211yesmaximal, characteristic, complemented
3#59312C211yesmaximal, characteristic, complemented
4#59273C212yesmaximal, complemented
5#59218C211yesmaximal, characteristic, complemented
6#49275C214yesmaximal, complemented
7#49163C214yesmaximal, complemented
8#46252C214yesmaximal, complemented
9#45084C212yesmaximal, complemented
10#45023C212yesmaximal, complemented
11#44975C212yesmaximal, complemented
12#44901C212yesmaximal, complemented
13#42974C212yesmaximal, complemented
14#42925C212yesmaximal, complemented
15#42783C212yesmaximal, complemented
16#42746C212yesmaximal, complemented
17#39192C211yesmaximal, characteristic, complemented
18#39147C211yesmaximal, characteristic, complemented
19#38965C211yesmaximal, characteristic, complemented
20#38910C211yesmaximal, characteristic, complemented
21#38430C214yesmaximal, complemented
22#38254C212yesmaximal, complemented
23#37983C212yesmaximal, complemented
24#36302C211yesmaximal, characteristic, complemented
25#36297C212yesmaximal, complemented
26#36268C212yesmaximal, complemented
27#36258C211yesmaximal, characteristic, complemented
28#36182C211yesmaximal, characteristic, complemented
29#35266C212yesmaximal, complemented
30#35216C212yesmaximal, complemented
31#34800C211yesmaximal, characteristic, complemented
32#34724C211yesmaximal, characteristic, complemented
33#34493C211yesmaximal, characteristic, complemented
34#34384C211yesmaximal, characteristic, complemented
35#34129C211yesmaximal, characteristic, complemented
36C2×#556C2212yescomplemented
37C2×#553C2212yescomplemented
38C2×#552C2212yescomplemented
39C2×#551C2214yescomplemented
40C2×#546C2212yes—
41C2×D42C2211yescharacteristic
42C2×#529C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44#2866C2214yescomplemented
45#2861C2212yescomplemented
46#2860C2214yescomplemented
47#2860C2214yescomplemented
48#2859C2211yescharacteristic, complemented
49#2856C2211yescharacteristic
50#2856C2211yescharacteristic
51#2854C2212yes—
52#2837C2214yescomplemented
53#2829C2214yescomplemented
54#2800C2214yescomplemented
55#2797C2214yescomplemented
56#2796C2214yescomplemented
57#2786C2214yescomplemented
58#2783C2214yescomplemented
59#2772C2214yescomplemented
60#2772C2214yescomplemented
61#2768C2214yescomplemented
62#2768C2214yescomplemented
63#2757C2214yescomplemented
64#2735C2214yescomplemented
65#2735C2214yescomplemented
66#2728C2214yescomplemented
67#2727C2214yescomplemented
68#2725C2214yescomplemented
69#2723C2214yescomplemented
70#2721C2214yescomplemented
71#2711C2214yescomplemented
72#2707C2214yescomplemented
73#2706C2214yescomplemented
74#2705C2214yescomplemented
75#2704C2214yescomplemented
76#2701C2214yescomplemented
77#2701C2214yescomplemented
78#2697C2214yescomplemented
79#2695C2214yescomplemented
80#2691C2214yescomplemented
81#2685C2214yes—
82#2685C2214yescomplemented
83#2685C2214yescomplemented
84#2681C2214yescomplemented
85#2678C2214yes—
86#2678C2214yescomplemented
87#2663C2214yescomplemented
88#2661C2214yescomplemented
89#2654C2214yescomplemented
90#2651C2214yescomplemented
91#2644C2214yescomplemented
92#2644C2212yescomplemented
93#2644C2214yescomplemented
94#2629C2212yescomplemented
95#2625C2212yescomplemented
96#2624C2212yes—
97#2609C2214yescomplemented
98#2601C2214yescomplemented
99#2601C2214yescomplemented
100#2601C2214yescomplemented
101#2601C2214yescomplemented
102#2595C2214yescomplemented
103#2587C2214yescomplemented
104#2584C2212yescomplemented
105#2566C2212yescomplemented
106#2566C2212yescomplemented
107#2556C2214yescomplemented
108#2554C2214yescomplemented
109#2552C2211yescharacteristic, complemented
110#2552C2211yescharacteristic, complemented
111#2552C2212yescomplemented
112#2548C2211yescharacteristic
113#2548C2211yescharacteristic
114#2542C2212yescomplemented
115#2540C2212yes—
116#2538C2211yescharacteristic
117#2538C2211yescharacteristic
118#2538C2212yes—
119#2538C2212yescomplemented
120#2538C2212yescomplemented
121#2532C2212yescomplemented
122#2531C2214yescomplemented
123#2530C2214yescomplemented
124#2526C2212yescomplemented
125#2526C2214yescomplemented
126#2519C2214yescomplemented
127#2518C2212yescomplemented
128#2516C2214yescomplemented
129#2513C2212yes—
130#2513C2211yescharacteristic
131#2513C2212yescomplemented
132#2513C2212yescomplemented
133#2512C2212yes—
134#2512C2212yes—
135#2512C2212yes—
136#2512C2212yescomplemented
137#2512C2212yescomplemented
138#2512C2212yescomplemented
139#2512C2212yescomplemented
140#2509C2212yescomplemented
141#2508C2211yescharacteristic, complemented
142#2507C2212yescomplemented
143#2507C2212yescomplemented
144#2504C2212yescomplemented
145#2501C2212yes—
146#2500C2211yescharacteristic
147#2500C2212yescomplemented
148#2500C2212yescomplemented
149#2497C2212yescomplemented
150#2497C2211yescharacteristic, complemented
151#2496C2212yescomplemented
152#2496C2212yescomplemented
153#2491C2211yescharacteristic
154#2490C2212yes—
155#2490C2212yes—
156#2490C2212yescomplemented
157#2490C2212yescomplemented
158#2486C2212yescomplemented
159#2485C2212yescomplemented
160#2485C2211yescharacteristic, complemented
161#2482C2214yescomplemented
162#2480C2214yescomplemented
163#2480C2214yescomplemented
164#2480C2214yescomplemented
165#2480C2214yescomplemented
166#2480C2214yescomplemented
167#2479C2214yescomplemented
168#2478C2214yescomplemented
169#2478C2212yescomplemented
170#2476C2214yescomplemented
171#2471C2214yescomplemented
172#2470C2212yescomplemented
173#2470C2214yescomplemented
174#2466C2212yescomplemented
175#2461C2214yescomplemented
176#2459C2212yescomplemented
177#2457C2214yescomplemented
178#2457C2214yescomplemented
179#2455C2212yescomplemented
180#2454C2212yes—
181#2453C2211yescharacteristic, complemented
182#2448C2212yescomplemented
183#2448C2212yescomplemented
184#2447C2211yescharacteristic
185#2441C2211yescharacteristic, complemented
186#2441C2212yescomplemented
187#2441C2212yescomplemented
188#2440C2212yescomplemented
189#2439C2211yescharacteristic, complemented
190#2437C2214yescomplemented
191#2435C2212yes—
192#2432C2211yescharacteristic
193#2429C2212yescomplemented
194#2429C2211yescharacteristic, complemented
195#2427C2212yescomplemented
196#2426C2212yes—
197#2426C2212yescomplemented
198#2424C2214yes—
199#2423C2212yescomplemented
200#2422C2211yescharacteristic
201#2422C2212yescomplemented
202#2422C2212yescomplemented
203#2422C2212yescomplemented
204#2422C2212yescomplemented
205#2418C2214yescomplemented
206#2416C2212yes—
207#2416C2212yescomplemented
208#2416C2212yescomplemented
209#2415C2214yescomplemented
210#2415C2211yescharacteristic, complemented
211#2414C2212yes—
212#2414C2212yes—
213#2414C2211yescharacteristic
214#2414C2214yescomplemented
215#2413C2214yescomplemented
216#2411C2214yes—
217#2411C2214yescomplemented
218#2408C2212yes—
219#2408C2212yes—
220#2408C2212yes—
221#2407C2211yescharacteristic
222#2398C2212yescomplemented
223#2395C2212yescomplemented
224#2392C2212yescomplemented
225#2392C2212yescomplemented
226#2383C2214yescomplemented
227#2375C2214yes—
228#2370C2212yescomplemented
229#2366C2211yescharacteristic
230#2363C2212yes—
231#2363C2212yes—
232#2363C2212yescomplemented
233#2362C2212yescomplemented
234#2361C2212yes—
235#2361C2212yescomplemented
236#2361C2212yescomplemented
237#2360C2212yescomplemented
238#2355C2211yescharacteristic, complemented
239#2354C2211yescharacteristic
240#2354C2211yescharacteristic
241#2354C2211yescharacteristic
242#2354C2212yescomplemented
243#2354C2212yescomplemented
244#2354C2212yescomplemented
245#2354C2212yescomplemented
246#2352C2212yescomplemented
247Q8×C4⋊C4C2211yescharacteristic, complemented
248Q8×C4⋊C4C2211yescharacteristic, complemented
249Q8×C4⋊C4C2211yescharacteristic, complemented
250D4×C4⋊C4C2211yescharacteristic
251D4×C4⋊C4C2212yescomplemented
252#2346C2214yescomplemented
253#2346C2212yescomplemented
254#2344C2212yescomplemented
255#2341C2212yes—
256D4×C22⋊C4C2212yes—
257D4×C22⋊C4C2212yes—
258D4×C22⋊C4C2212yes—
259#2330C2212yescomplemented
260#2326C2212yes—
261#2326C2212yescomplemented
262#2324C2212yes—
263#2324C2212yes—
264#2323C2212yescomplemented
265#2322C2214yescomplemented
266#2321C2214yes—
267#2317C2212yescomplemented
268#2316C2212yescomplemented
269#2314C2212yescomplemented
270#2309C2212yes—
271#2309C2212yes—
272#2309C2212yes—
273C4×C4⋊Q8C2211yescharacteristic, complemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×#127C2211yescharacteristic
276C4×#124C2212yescomplemented
277C4×C22⋊Q8C2211yescharacteristic, complemented
278C4×C22⋊Q8C2211yescharacteristic, complemented
279C4×#123C2212yescomplemented
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282#2298C2212yescomplemented
283#2296C2212yescomplemented
284#2293C2211yescharacteristic
285#2293C2211yescharacteristic
286#2293C2212yes—
287#2293C2214yescomplemented
288#2293C2214yescomplemented
289#2293C2212yescomplemented
290C2×#390C2212yes—
291#2285C2211yescharacteristic, complemented
292#2285C2212yescomplemented
293C2×#384C2211yescharacteristic, complemented
294#2283C2211yescharacteristic, complemented
295C42×Q8C2212yescomplemented
296C42×D4C2211yescharacteristic, complemented
297C4×#117C2212yescomplemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C23×D4C2312yes—
301C23×D4C2312yes—
302#556—48no—
303#553—48no—
304#552—48no—
305#551—416no—
306#546—48no—
307D42—28no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×#127C2311yescharacteristic
311#529—28no—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#124C2311yescharacteristic
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#123C2312yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2314yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#121C2314yes—
356C2×#120C2314yes—
357C2×#120C2314yes—
358C2×#120C2314yes—
359C4×#41—28no—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2311yescharacteristic
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2314yes—
395C2×#117C2312yes—
396C2×#117C2314yes—
397C2×#117C2314yes—
398C2×#117C2314yes—
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C22⋊C4C2314yes—
406C22×C22⋊C4C2314yes—
407C22×C22⋊C4C2314yes—
408C22×C42C2312yes—
409C22×C42C2311yescharacteristic
410C22×C42C2311yescharacteristic
411#400C2314yes—
412#400C2314yes—
413#400C2312yes—
414#400C2312yes—
415#400C2312yes—
416#400C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2312yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2314yes—
435#398C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2312yes—
457#397C2312yes—
458#397C2314yes—
459#397C2312yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2312yes—
465#396C2314yes—
466#396C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2312yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2312yes—
478#396C2314yes—
479#396C2314yes—
480#395C2314yes—
481#394C2312yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2312yes—
494#394C2312yes—
495#394C2312yes—
496#394C2312yes—
497#394C2312yes—
498#394C2312yes—
499#394C2312yes—
500#394C2312yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#393C2312yes—
507#393C2312yes—
508#392C2314yes—
509#392C2312yes—
510#392C2312yes—
511#392C2314yes—
512#392C2314yes—
513#391C2311yescharacteristic
514#391C2311yescharacteristic
515#391C2312yes—
516#391C2312yes—
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#391C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2311yescharacteristic
524#390C2311yescharacteristic
525#390C2311yescharacteristic
526#390C2312yes—
527#390C2314yes—
528#390C2314yes—
529#390C2314yes—
530#390C2312yes—
531#390C2312yes—
532#390C2314yes—
533#390C2314yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2311yescharacteristic
544#390C2311yescharacteristic
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2314yes—
550#390C2312yes—
551#390C2314yes—
552#390C2314yes—
553#390C2314yes—
554#390C2312yes—
555#390C2314yes—
556#390C2314yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2314yes—
562#390C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2314yes—
583#389C2312yes—
584#389C2312yes—
585#389C2314yes—
586#389C2312yes—
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2314yes—
590#389C2312yes—
591#389C2314yes—
592#389C2312yes—
593#389C2314yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2314yes—
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2312yes—
604#389C2311yescharacteristic
605#389C2312yes—
606#389C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2312yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2314yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#387C2312yes—
676#387C2314yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2312yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2312yes—
694#386C2312yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2312yes—
707#385C2312yes—
708#385C2312yes—
709#385C2312yes—
710#385C2312yes—
711#385C2314yes—
712#385C2312yes—
713#385C2312yes—
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2311yescharacteristic
717#384C2312yes—
718#384C2312yes—
719#384C2312yes—
720#384C2312yes—
721#384C2312yes—
722#384C2312yes—
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2312yes—
726#384C2312yes—
727#383C2312yes—
728#382C2311yescharacteristic
729#382C2312yes—
730#382C2311yescharacteristic
731#382C2312yes—
732#382C2314yes—
733#382C2312yes—
734#382C2312yes—
735#381C2312yes—
736#381C2314yes—
737#381C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2314yes—
741#380C2314yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2314yes—
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2312yes—
752#380C2314yes—
753#380C2314yes—
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#379C2314yes—
758#379C2314yes—
759#379C2314yes—
760#379C2314yes—
761#379C2314yes—
762#379C2314yes—
763#379C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812#376C2312yes—
813#376C2314yes—
814#376C2312yes—
815C43C2311yescharacteristic
816C43C2314yes—
817C43C2312yes—
818C25C2414yes—
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—42no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×D4—28no—
826C22×D4—28no—
827C22×D4—44no—
828C22×D4—44no—
829C22×D4—44no—
830C22×D4—44no—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C4⋊Q8—24no—
860C4⋊Q8—42no—
861#127—24no—
862#126—28no—
863#126—48no—
864#126—48no—
865#126—48no—
866#126—48no—
867#126—48no—
868#126—48no—
869#125—24no—
870#125—44no—
871#125—44no—
872#125—44no—
873#125—48no—
874#124—28no—
875#124—24no—
876#124—28no—
877#124—44no—
878#123—28no—
879#123—28no—
880#123—48no—
881#123—48no—
882#123—48no—
883#123—48no—
884#123—48no—
885C22⋊Q8—28no—
886C22⋊Q8—24no—
887C22⋊Q8—24no—
888C22⋊Q8—48no—
889C22⋊Q8—48no—
890C22⋊Q8—42no—
891C22⋊Q8—44no—
892C22⋊Q8—48no—
893#121—24no—
894#121—28no—
895#121—28no—
896#121—44no—
897#121—48no—
898#121—44no—
899#121—44no—
900#121—42no—
901#121—44no—
902#121—42no—
903#121—44no—
904#121—48no—
905#121—44no—
906#120—216no—
907#120—48no—
908#120—48no—
909C4×Q8—28no—
910C4×Q8—24no—
911C4×Q8—24no—
912C4×Q8—24no—
913C4×Q8—44no—
914C4×Q8—44no—
915C4×Q8—44no—
916C4×D4—24no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—216no—
921C4×D4—24no—
922C4×D4—24no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—42no—
929C4×D4—42no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—48no—
934C4×D4#4118yes—
935#117—28no—
936#117—24no—
937#117—28no—
938#117—44no—
939#117—44no—
940#117—48no—
941#117—44no—
942#117—48no—
943#117—48no—
944#117—48no—
945#117—44no—
946#117—42no—
947#117—44no—
948#117—42no—
949#117—44no—
950C2×C4⋊C4—44no—
951C2×C4⋊C4—44no—
952C2×C4⋊C4—44no—
953C2×C4⋊C4—44no—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C22⋊C4—48no—
1024C2×C22⋊C4—48no—
1025C2×C22⋊C4—48no—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2411yescharacteristic
1097C2×C42—28no—
1098C2×C42—24no—
1099C2×C42—24no—
1100C2×C42C2412yes—
1101C2×C42C2414yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2414yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2414yes—
1125C2×C42C2412yes—
1126C2×C42C2414yes—
1127C2×C42C2412yes—
1128C2×C42C2414yes—
1129C2×C42C2414yes—
1130C2×C42C2412yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2411yescharacteristic
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191C24—28no—
1192C24—44no—
1193C24—44no—
1194C24—44no—
1195C24—44no—
1196C24—44no—
1197C24—44no—
1198C24C2512yes—
1199C24C2514yes—
1200C24C2511yescharacteristic
1201C24C2512yes—
1202C24C2511yescharacteristic
1203#41—416no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—24no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—42no—
1211C2×Q8—42no—
1212C2×Q8H(5,𝔽2)14yes—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—22no—
1216C2×D4—24no—
1217C2×D4—28no—
1218C2×D4—28no—
1219C2×D4—24no—
1220C2×D4—22no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—28no—
1225C2×D4—22no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—22no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—816no—
1255C2×D4—816no—
1256C2×D4C2×#4114yes—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—22no—
1262C22×C4—28no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—24no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—28no—
1284C22×C4—41no—
1285C22×C4—42no—
1286C22×C4—41no—
1287C22×C4—42no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4C2×#4118yes—
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2514yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2512yes—
1319C22×C4C2514yes—
1320C22×C4C2514yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—28no—
1344C4⋊C4—28no—
1345C4⋊C4—22no—
1346C4⋊C4—28no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—22no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—41no—
1381C4⋊C4—41no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4C2×#4114yes—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—28no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—28no—
1414C22⋊C4—24no—
1415C22⋊C4—28no—
1416C22⋊C4—22no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—41no—
1447C22⋊C4—44no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4C2×#4118yes—
1468C22⋊C4H(5,𝔽2)14yes—
1469C42—22no—
1470C42—22no—
1471C42—24no—
1472C42—22no—
1473C42—24no—
1474C42—22no—
1475C42—24no—
1476C42—22no—
1477C42—22no—
1478C42—24no—
1479C42—24no—
1480C42—28no—
1481C42—28no—
1482C42—22no—
1483C42—24no—
1484C42—22no—
1485C42—24no—
1486C42—22no—
1487C42—22no—
1488C42—24no—
1489C42—24no—
1490C42—22no—
1491C42—42no—
1492C42—41no—
1493C42—44no—
1494C42—44no—
1495C42—42no—
1496C42—42no—
1497C42—44no—
1498C42—44no—
1499C42—44no—
1500C42—44no—
1501C42C2×#4114yes—
1502C23—21no—
1503C23—21no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—22no—
1512C23—21no—
1513C23—22no—
1514C23—21no—
1515C23—22no—
1516C23—24no—
1517C23—22no—
1518C23—22no—
1519C23—24no—
1520C23—24no—
1521C23—21no—
1522C23—21no—
1523C23—22no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—24no—
1528C23—24no—
1529C23—24no—
1530C23—22no—
1531C23—22no—
1532C23—24no—
1533C23—21no—
1534C23—22no—
1535C23—88no—
1536C23—88no—
1537C23—88no—
1538C23—88no—
1539C23—88no—
1540C23—164no—
1541C23—164no—
1542C23C22×#4114yes—
1543C23C2×H(5,𝔽2)12yes—
1544C23C2611yescharacteristic
1545Q8—28no—
1546Q8—44no—
1547Q8—84no—
1548D4—28no—
1549D4—48no—
1550D4—48no—
1551D4—44no—
1552D4—48no—
1553D4—48no—
1554D4—44no—
1555D4—84no—
1556D4—88no—
1557D4—84no—
1558D4—88no—
1559D4—88no—
1560D4—84no—
1561D4—164no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—216no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—24no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—24no—
1621C2×C4—24no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—44no—
1643C2×C4—48no—
1644C2×C4—44no—
1645C2×C4—48no—
1646C2×C4—44no—
1647C2×C4—48no—
1648C2×C4—44no—
1649C2×C4—44no—
1650C2×C4—44no—
1651C2×C4—88no—
1652C2×C4—88no—
1653C2×C4—88no—
1654C2×C4—164no—
1655C2×C4C22×#4112yes—
1656C2×C4C22×#4114yes—
1657C2×C4C22×#4112yes—
1658C2×C4C22×#4112yes—
1659C2×C4C2×H(5,𝔽2)12yes—
1660C2×C4C2×H(5,𝔽2)14yes—
1661C2×C4C2×H(5,𝔽2)12yes—
1662C2×C4C2×H(5,𝔽2)12yes—
1663C2×C4#58512yes—
1664C2×C4#58512yes—
1665C2×C4#58512yes—
1666C22—22no—
1667C22—24no—
1668C22—22no—
1669C22—22no—
1670C22—24no—
1671C22—24no—
1672C22—42no—
1673C22—42no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—42no—
1678C22—41no—
1679C22—42no—
1680C22—41no—
1681C22—44no—
1682C22—42no—
1683C22—44no—
1684C22—42no—
1685C22—41no—
1686C22—44no—
1687C22—41no—
1688C22—42no—
1689C22—41no—
1690C22—42no—
1691C22—44no—
1692C22—41no—
1693C22—42no—
1694C22—44no—
1695C22—41no—
1696C22—42no—
1697C22—44no—
1698C22—41no—
1699C22—44no—
1700C22—42no—
1701C22—1616no—
1702C22C23×#4111yescharacteristic
1703C22C22×H(5,𝔽2)11yescharacteristic
1704C22C22×H(5,𝔽2)11yescharacteristic
1705C22C2×#58511yescharacteristic
1706C22C2×#58511yescharacteristic
1707C22C2×#58511yescharacteristic
1708C222−1+611yescharacteristic
1709C4—22no—
1710C4—22no—
1711C4—22no—
1712C4—24no—
1713C4—24no—
1714C4—42no—
1715C4—41no—
1716C4—42no—
1717C4—44no—
1718C4—44no—
1719C4—42no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—41no—
1724C4—44no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—41no—
1733C4—42no—
1734C4—42no—
1735C4—42no—
1736C4—41no—
1737C4#349414yes—
1738C4#352114yes—
1739C2—42no—
1740C2—44no—
1741C2—81no—
1742C2—84no—
1743C2—82no—
1744C2#6275911yescharacteristic
1745C2C2×#352111yescharacteristic
1746C2C2×#349411yescharacteristic
1747C2#6292211yescharacteristic
1748C2#6296811yescharacteristic
1749C2#6298511yescharacteristic
1750C2#6301411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59843C2semidirect
2. #59821C2semidirect
3. #59312C2semidirect
4. #59273C2semidirect
5. #59218C2semidirect
6. #49275C2semidirect
7. #49163C2semidirect
8. #46252C2semidirect
9. #45084C2semidirect
10. #45023C2semidirect
11. #44975C2semidirect
12. #44901C2semidirect
13. #42974C2semidirect
14. #42925C2semidirect
15. #42783C2semidirect
16. #42746C2semidirect
17. #39192C2semidirect
18. #39147C2semidirect
19. #38965C2semidirect
20. #38910C2semidirect
21. #38430C2semidirect
22. #38254C2semidirect
23. #37983C2semidirect
24. #36302C2semidirect
25. #36297C2semidirect
26. #36268C2semidirect
27. #36258C2semidirect
28. #36182C2semidirect
29. #35266C2semidirect
30. #35216C2semidirect
31. #34800C2semidirect
32. #34724C2semidirect
33. #34493C2semidirect
34. #34384C2semidirect
35. #34129C2semidirect
36. C2×#556C22semidirect
37. C2×#553C22semidirect
38. C2×#552C22semidirect
39. C2×#551C22semidirect
44. #2866C22semidirect
45. #2861C22semidirect
46. #2860C22semidirect
47. #2860C22semidirect
48. #2859C22semidirect
52. #2837C22semidirect
53. #2829C22semidirect
54. #2800C22semidirect
55. #2797C22semidirect
56. #2796C22semidirect
57. #2786C22semidirect
58. #2783C22semidirect
59. #2772C22semidirect
60. #2772C22semidirect
61. #2768C22semidirect
62. #2768C22semidirect
63. #2757C22semidirect
64. #2735C22semidirect
65. #2735C22semidirect
66. #2728C22semidirect
67. #2727C22semidirect
68. #2725C22semidirect
69. #2723C22semidirect
70. #2721C22semidirect
71. #2711C22semidirect
72. #2707C22semidirect
73. #2706C22semidirect
74. #2705C22semidirect
75. #2704C22semidirect
76. #2701C22semidirect
77. #2701C22semidirect
78. #2697C22semidirect
79. #2695C22semidirect
80. #2691C22semidirect
82. #2685C22semidirect
83. #2685C22semidirect
84. #2681C22semidirect
86. #2678C22semidirect
87. #2663C22semidirect
88. #2661C22semidirect
89. #2654C22semidirect
90. #2651C22semidirect
91. #2644C22semidirect
92. #2644C22semidirect
93. #2644C22semidirect
94. #2629C22semidirect
95. #2625C22semidirect
97. #2609C22semidirect
98. #2601C22semidirect
99. #2601C22semidirect
100. #2601C22semidirect
101. #2601C22semidirect
102. #2595C22semidirect
103. #2587C22semidirect
104. #2584C22semidirect
105. #2566C22semidirect
106. #2566C22semidirect
107. #2556C22semidirect
108. #2554C22semidirect
109. #2552C22semidirect
110. #2552C22semidirect
111. #2552C22semidirect
114. #2542C22semidirect
119. #2538C22semidirect
120. #2538C22semidirect
121. #2532C22semidirect
122. #2531C22semidirect
123. #2530C22semidirect
124. #2526C22semidirect
125. #2526C22semidirect
126. #2519C22semidirect
127. #2518C22semidirect
128. #2516C22semidirect
131. #2513C22semidirect
132. #2513C22semidirect
136. #2512C22semidirect
137. #2512C22semidirect
138. #2512C22semidirect
139. #2512C22semidirect
140. #2509C22semidirect
141. #2508C22semidirect
142. #2507C22semidirect
143. #2507C22semidirect
144. #2504C22semidirect
147. #2500C22semidirect
148. #2500C22semidirect
149. #2497C22semidirect
150. #2497C22semidirect
151. #2496C22semidirect
152. #2496C22semidirect
156. #2490C22semidirect
157. #2490C22semidirect
158. #2486C22semidirect
159. #2485C22semidirect
160. #2485C22semidirect
161. #2482C22semidirect
162. #2480C22semidirect
163. #2480C22semidirect
164. #2480C22semidirect
165. #2480C22semidirect
166. #2480C22semidirect
167. #2479C22semidirect
168. #2478C22semidirect
169. #2478C22semidirect
170. #2476C22semidirect
171. #2471C22semidirect
172. #2470C22semidirect
173. #2470C22semidirect
174. #2466C22semidirect
175. #2461C22semidirect
176. #2459C22semidirect
177. #2457C22semidirect
178. #2457C22semidirect
179. #2455C22semidirect
181. #2453C22semidirect
182. #2448C22semidirect
183. #2448C22semidirect
185. #2441C22semidirect
186. #2441C22semidirect
187. #2441C22semidirect
188. #2440C22semidirect
189. #2439C22semidirect
190. #2437C22semidirect
193. #2429C22semidirect
194. #2429C22semidirect
195. #2427C22semidirect
197. #2426C22semidirect
199. #2423C22semidirect
201. #2422C22semidirect
202. #2422C22semidirect
203. #2422C22semidirect
204. #2422C22semidirect
205. #2418C22semidirect
207. #2416C22semidirect
208. #2416C22semidirect
209. #2415C22semidirect
210. #2415C22semidirect
214. #2414C22semidirect
215. #2413C22semidirect
217. #2411C22semidirect
222. #2398C22semidirect
223. #2395C22semidirect
224. #2392C22semidirect
225. #2392C22semidirect
226. #2383C22semidirect
228. #2370C22semidirect
232. #2363C22semidirect
233. #2362C22semidirect
235. #2361C22semidirect
236. #2361C22semidirect
237. #2360C22semidirect
238. #2355C22semidirect
242. #2354C22semidirect
243. #2354C22semidirect
244. #2354C22semidirect
245. #2354C22semidirect
246. #2352C22semidirect
247. Q8×C4⋊C4C22semidirect
248. Q8×C4⋊C4C22semidirect
249. Q8×C4⋊C4C22semidirect
251. D4×C4⋊C4C22semidirect
252. #2346C22semidirect
253. #2346C22semidirect
254. #2344C22semidirect
259. #2330C22semidirect
261. #2326C22semidirect
264. #2323C22semidirect
265. #2322C22semidirect
267. #2317C22semidirect
268. #2316C22semidirect
269. #2314C22semidirect
273. C4×C4⋊Q8C22semidirect
274. C4×C4⋊Q8C22semidirect
276. C4×#124C22semidirect
277. C4×C22⋊Q8C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×#123C22semidirect
282. #2298C22semidirect
283. #2296C22semidirect
287. #2293C22semidirect
288. #2293C22semidirect
289. #2293C22semidirect
291. #2285C22semidirect
292. #2285C22semidirect
293. C2×#384C22semidirect
294. #2283C22semidirect
295. C42×Q8C22semidirect
296. C42×D4C22semidirect
297. C4×#117C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#598432
#598212
#593122
#592732
#592182
#492752
#491632
#462522
#450842
#450232
#449752
#449012
#429742
#429252
#427832
#427462
#391922
#391472
#389652
#389102
#384302
#382542
#379832
#363022
#362972
#362682
#362582
#361822
#352662
#352162
#348002
#347242
#344932
#343842
#341292