Finite Group Databasebeta

← #8425155

Subgroups — #8425155

Order 512.

5352 conjugacy classes of subgroups.

The subgroup lattice has 1846 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59823C211yesmaximal, characteristic, complemented
2#59696C212yesmaximal, complemented
3#59066C211yesmaximal, characteristic, complemented
4#59052C211yesmaximal, characteristic, complemented
5#59024C212yesmaximal, complemented
6#57605C214yesmaximal, complemented
7#57222C214yesmaximal, complemented
8#53152C212yesmaximal, complemented
9#53115C212yesmaximal, complemented
10#52999C212yesmaximal, complemented
11#52956C212yesmaximal, complemented
12#52663C214yesmaximal, complemented
13#42589C212yesmaximal, complemented
14#42581C212yesmaximal, complemented
15#42570C212yesmaximal, complemented
16#42434C212yesmaximal, complemented
17#41167C214yesmaximal, complemented
18#40177C212yesmaximal, complemented
19#39884C212yesmaximal, complemented
20#39672C212yesmaximal, complemented
21#39341C211yesmaximal, characteristic, complemented
22#39201C211yesmaximal, characteristic, complemented
23#39169C211yesmaximal, characteristic, complemented
24#39148C211yesmaximal, characteristic, complemented
25#37656C212yesmaximal, complemented
26#37634C211yesmaximal, characteristic, complemented
27#37628C211yesmaximal, characteristic, complemented
28#37625C212yesmaximal, complemented
29#37444C212yesmaximal, complemented
30#36301C211yesmaximal, characteristic, complemented
31#36154C211yesmaximal, characteristic, complemented
32#36150C211yesmaximal, characteristic, complemented
33#34936C211yesmaximal, characteristic, complemented
34#34803C211yesmaximal, characteristic, complemented
35#34681C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#554C2212yescomplemented
38C2×#550C2211yescharacteristic, complemented
39C2×#547C2212yes—
40C2×#537C2212yescomplemented
41C2×#533C2211yescharacteristic, complemented
42C2×#532C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×#525C2212yes—
45C2×#525C2212yes—
46C2×#525C2212yes—
47C22×C4×D4C2211yescharacteristic
48#2864C2212yescomplemented
49#2858C2211yescharacteristic, complemented
50#2857C2211yescharacteristic
51#2856C2211yescharacteristic, complemented
52#2848C2212yes—
53#2838C2214yescomplemented
54#2837C2214yescomplemented
55#2836C2214yescomplemented
56#2836C2214yescomplemented
57#2834C2214yescomplemented
58#2829C2214yescomplemented
59#2829C2214yescomplemented
60#2826C2214yescomplemented
61#2825C2214yes—
62#2825C2214yes—
63#2816C2214yescomplemented
64#2816C2214yescomplemented
65#2814C2214yes—
66#2813C2214yes—
67#2784C2214yescomplemented
68#2780C2214yescomplemented
69#2778C2214yes—
70#2757C2214yescomplemented
71#2756C2214yescomplemented
72#2749C2214yescomplemented
73#2748C2214yescomplemented
74#2743C2214yescomplemented
75#2740C2214yescomplemented
76#2732C2214yescomplemented
77#2732C2214yescomplemented
78#2724C2214yes—
79#2720C2214yescomplemented
80#2714C2214yescomplemented
81#2712C2214yescomplemented
82#2711C2214yescomplemented
83#2710C2214yescomplemented
84#2707C2214yes—
85#2705C2214yescomplemented
86#2703C2214yes—
87#2701C2214yes—
88#2697C2214yes—
89#2696C2214yes—
90#2692C2214yescomplemented
91#2688C2214yes—
92#2688C2214yescomplemented
93#2680C2214yes—
94#2678C2214yes—
95#2678C2214yes—
96#2676C2214yes—
97#2676C2214yescomplemented
98#2676C2214yescomplemented
99#2676C2214yescomplemented
100#2675C2214yescomplemented
101#2671C2214yes—
102#2671C2214yes—
103#2668C2214yes—
104#2660C2212yescomplemented
105#2654C2214yescomplemented
106#2648C2214yes—
107#2647C2212yescomplemented
108#2644C2212yes—
109#2644C2212yescomplemented
110#2641C2212yes—
111#2641C2212yescomplemented
112#2635C2214yes—
113#2632C2214yescomplemented
114#2630C2214yescomplemented
115#2630C2214yescomplemented
116#2630C2214yescomplemented
117#2625C2212yescomplemented
118#2624C2212yescomplemented
119#2624C2214yescomplemented
120#2621C2212yescomplemented
121#2620C2214yescomplemented
122#2617C2214yes—
123#2617C2214yes—
124#2616C2212yescomplemented
125#2616C2212yescomplemented
126#2615C2212yescomplemented
127#2602C2214yescomplemented
128#2580C2212yescomplemented
129#2579C2214yescomplemented
130#2571C2211yescharacteristic, complemented
131#2566C2212yescomplemented
132#2564C2214yescomplemented
133#2563C2211yescharacteristic
134#2563C2211yescharacteristic, complemented
135#2552C2212yescomplemented
136#2552C2212yescomplemented
137#2548C2212yes—
138#2546C2211yescharacteristic, complemented
139#2543C2214yescomplemented
140#2542C2211yescharacteristic
141#2542C2211yescharacteristic
142#2542C2211yescharacteristic, complemented
143#2542C2212yescomplemented
144#2541C2212yes—
145#2541C2211yescharacteristic
146#2541C2211yescharacteristic
147#2541C2212yes—
148#2540C2212yes—
149#2540C2212yes—
150#2540C2212yes—
151#2539C2214yes—
152#2538C2211yescharacteristic
153#2538C2212yes—
154#2538C2212yescomplemented
155#2538C2212yescomplemented
156#2536C2212yescomplemented
157#2536C2212yescomplemented
158#2535C2212yescomplemented
159#2533C2212yescomplemented
160#2527C2212yescomplemented
161#2527C2214yescomplemented
162#2523C2212yes—
163#2514C2211yescharacteristic, complemented
164#2513C2212yes—
165#2513C2212yescomplemented
166#2509C2211yescharacteristic, complemented
167#2507C2212yescomplemented
168#2504C2212yescomplemented
169#2501C2212yes—
170#2500C2212yes—
171#2500C2212yescomplemented
172#2499C2211yescharacteristic
173#2496C2211yescharacteristic, complemented
174#2494C2212yes—
175#2494C2212yescomplemented
176#2492C2211yescharacteristic, complemented
177#2491C2212yescomplemented
178#2490C2212yes—
179#2487C2212yes—
180#2485C2211yescharacteristic
181#2485C2212yes—
182#2477C2214yes—
183#2476C2214yescomplemented
184#2472C2212yes—
185#2472C2214yes—
186#2466C2212yes—
187#2464C2212yes—
188#2464C2214yescomplemented
189#2461C2212yes—
190#2460C2214yescomplemented
191#2454C2212yes—
192#2454C2212yes—
193#2454C2212yescomplemented
194#2454C2214yescomplemented
195#2452C2211yescharacteristic
196#2452C2212yescomplemented
197#2450C2214yes—
198#2450C2214yescomplemented
199#2449C2214yescomplemented
200#2448C2212yescomplemented
201#2445C2212yes—
202#2445C2211yescharacteristic
203#2445C2212yescomplemented
204#2443C2214yescomplemented
205#2443C2214yescomplemented
206#2442C2212yes—
207#2441C2212yescomplemented
208#2440C2211yescharacteristic
209#2439C2211yescharacteristic
210#2437C2214yes—
211#2433C2212yes—
212#2433C2211yescharacteristic
213#2432C2212yescomplemented
214#2429C2212yescomplemented
215#2429C2212yescomplemented
216#2428C2211yescharacteristic
217#2428C2212yes—
218#2428C2212yes—
219#2428C2212yes—
220#2428C2212yescomplemented
221#2427C2212yescomplemented
222#2427C2212yescomplemented
223#2427C2214yescomplemented
224#2426C2212yes—
225#2426C2212yescomplemented
226#2424C2214yes—
227#2424C2212yes—
228#2423C2214yescomplemented
229#2422C2212yes—
230#2422C2211yescharacteristic
231#2422C2214yescomplemented
232#2422C2212yescomplemented
233#2421C2212yescomplemented
234#2420C2212yes—
235#2420C2212yescomplemented
236#2420C2212yescomplemented
237#2417C2212yes—
238#2417C2212yescomplemented
239#2417C2212yescomplemented
240#2417C2212yescomplemented
241#2416C2211yescharacteristic
242#2416C2212yescomplemented
243#2416C2212yescomplemented
244#2416C2212yescomplemented
245#2416C2212yescomplemented
246#2415C2211yescharacteristic
247#2414C2212yes—
248#2414C2214yescomplemented
249#2408C2211yescharacteristic
250#2407C2212yes—
251#2407C2212yes—
252#2407C2212yescomplemented
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2401C2212yes—
256#2398C2212yes—
257#2397C2214yes—
258#2392C2212yes—
259#2388C2212yes—
260#2369C2211yescharacteristic, complemented
261#2367C2212yescomplemented
262#2366C2212yes—
263#2366C2211yescharacteristic, complemented
264#2364C2214yescomplemented
265#2363C2212yes—
266#2363C2212yescomplemented
267#2360C2212yescomplemented
268#2352C2212yes—
269#2349C2212yes—
270D4×C4⋊C4C2211yescharacteristic
271D4×C4⋊C4C2211yescharacteristic, complemented
272D4×C4⋊C4C2212yescomplemented
273#2344C2212yescomplemented
274#2341C2212yes—
275D4×C22⋊C4C2212yes—
276#2328C2212yes—
277#2328C2212yes—
278#2324C2212yescomplemented
279#2322C2214yescomplemented
280C4×C4⋊Q8C2211yescharacteristic, complemented
281C4×C4⋊Q8C2211yescharacteristic, complemented
282C4×#127C2211yescharacteristic
283C4×#127C2212yes—
284C4×#127C2212yes—
285C4×#126C2212yescomplemented
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic, complemented
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic
290C4×#120C2212yes—
291#2295C2211yescharacteristic, complemented
292#2295C2212yescomplemented
293#2293C2211yescharacteristic
294#2293C2212yescomplemented
295#2283C2211yescharacteristic, complemented
296C2×#380C2212yes—
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2311yescharacteristic
303C24×C4C2312yes—
304#554—48no—
305#554—44no—
306#550—44no—
307#547—48no—
308#537—48no—
309#533—44no—
310#532—44no—
311#532—44no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#127C2312yes—
321C2×#127C2311yescharacteristic
322C2×#127C2312yes—
323C2×#126C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2314yes—
332#525—48no—
333#525—48no—
334#525—48no—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2312yes—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2312yes—
361C2×#121C2312yes—
362C2×#121C2311yescharacteristic
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2311yescharacteristic
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2311yescharacteristic
381C2×#121C2311yescharacteristic
382C2×#121C2314yes—
383C2×#121C2312yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#120C2312yes—
388C2×#120C2312yes—
389C2×#120C2314yes—
390C2×#120C2314yes—
391C2×#120C2312yes—
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×D4—44no—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2312yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2314yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2311yescharacteristic
426C2×#117C2311yescharacteristic
427C2×#117C2311yescharacteristic
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2314yes—
431C22×C4⋊C4C2312yes—
432C22×C4⋊C4C2314yes—
433C22×C4⋊C4C2312yes—
434C22×C4⋊C4C2312yes—
435C22×C4⋊C4C2311yescharacteristic
436C22×C22⋊C4C2312yes—
437C22×C22⋊C4C2314yes—
438C22×C42C2311yescharacteristic
439C22×C42C2311yescharacteristic
440#401C2312yes—
441#401C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2312yes—
447#400C2312yes—
448#400C2312yes—
449#400C2312yes—
450#400C2312yes—
451#399C2314yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#399C2314yes—
456#399C2314yes—
457#399C2314yes—
458#399C2314yes—
459#399C2314yes—
460#399C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2312yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#397C2312yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2312yes—
489#397C2314yes—
490#397C2314yes—
491#397C2312yes—
492#397C2312yes—
493#397C2312yes—
494#397C2312yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2312yes—
508#396C2314yes—
509#396C2312yes—
510#396C2314yes—
511#396C2312yes—
512#395C2314yes—
513#395C2312yes—
514#395C2314yes—
515#394C2312yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2312yes—
530#394C2312yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2312yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2312yes—
546#394C2312yes—
547#394C2312yes—
548#394C2314yes—
549#394C2312yes—
550#393C2312yes—
551#393C2314yes—
552#393C2314yes—
553#393C2314yes—
554#393C2314yes—
555#393C2312yes—
556#393C2312yes—
557#392C2312yes—
558#392C2312yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2312yes—
570#392C2314yes—
571#392C2312yes—
572#392C2314yes—
573#392C2314yes—
574#391C2312yes—
575#391C2312yes—
576#391C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2311yescharacteristic
580#391C2314yes—
581#391C2311yescharacteristic
582#391C2311yescharacteristic
583#391C2311yescharacteristic
584#391C2312yes—
585#390C2312yes—
586#390C2314yes—
587#390C2312yes—
588#390C2311yescharacteristic
589#390C2312yes—
590#390C2314yes—
591#390C2312yes—
592#390C2311yescharacteristic
593#390C2314yes—
594#390C2312yes—
595#390C2312yes—
596#390C2314yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2314yes—
602#390C2312yes—
603#390C2311yescharacteristic
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2314yes—
609#390C2314yes—
610#390C2312yes—
611#390C2314yes—
612#390C2314yes—
613#390C2314yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2311yescharacteristic
618#390C2311yescharacteristic
619#390C2311yescharacteristic
620#389C2311yescharacteristic
621#389C2312yes—
622#389C2311yescharacteristic
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2314yes—
628#389C2314yes—
629#389C2311yescharacteristic
630#389C2312yes—
631#389C2314yes—
632#389C2312yes—
633#389C2312yes—
634#389C2314yes—
635#389C2312yes—
636#389C2311yescharacteristic
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2311yescharacteristic
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#389C2312yes—
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2311yescharacteristic
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2312yes—
669#388C2314yes—
670#388C2312yes—
671#388C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2314yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2312yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2312yes—
715#386C2312yes—
716#386C2312yes—
717#386C2312yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2312yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2312yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2312yes—
737#385C2312yes—
738#385C2312yes—
739#384C2311yescharacteristic
740#384C2312yes—
741#384C2312yes—
742#384C2311yescharacteristic
743#384C2311yescharacteristic
744#384C2312yes—
745#384C2314yes—
746#383C2312yes—
747#383C2312yes—
748#382C2312yes—
749#382C2312yes—
750#382C2312yes—
751#382C2312yes—
752#382C2311yescharacteristic
753#382C2311yescharacteristic
754#381C2312yes—
755#381C2314yes—
756#381C2314yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2314yes—
763#380C2314yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2314yes—
770#380C2311yescharacteristic
771#380C2312yes—
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2314yes—
775#380C2314yes—
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779#380C2314yes—
780#379C2314yes—
781#379C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816#376C2312yes—
817#376C2312yes—
818#376C2312yes—
819C2×#95C2314yes—
820C43C2312yes—
821C43C2311yescharacteristic
822C25C2412yes—
823C2×#41—28no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C22×Q8C2412yes—
833C22×Q8C2411yescharacteristic
834C22×Q8C2412yes—
835C22×Q8C2412yes—
836C22×Q8C2412yes—
837C22×D4—24no—
838C22×D4—42no—
839C22×D4—42no—
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C23×C4—28no—
865C23×C4—44no—
866C23×C4—44no—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2412yes—
876C23×C4C2414yes—
877C23×C4C2414yes—
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2411yescharacteristic
881C23×C4C2414yes—
882C23×C4C2414yes—
883C23×C4C2414yes—
884C23×C4C2414yes—
885C4⋊Q8—24no—
886C4⋊Q8—24no—
887C4⋊Q8—24no—
888C4⋊Q8—42no—
889C4⋊Q8—44no—
890#127—24no—
891#127—28no—
892#127—24no—
893#127—44no—
894#127—42no—
895#127—44no—
896#126—44no—
897#125—44no—
898#125—44no—
899#125—48no—
900#124—44no—
901#124—44no—
902#124—44no—
903#124—84no—
904#124—82no—
905#123—48no—
906#123—48no—
907#123—48no—
908#123—44no—
909#123—44no—
910#123—48no—
911#123—48no—
912C22⋊Q8—24no—
913C22⋊Q8—28no—
914C22⋊Q8—24no—
915C22⋊Q8—44no—
916C22⋊Q8—48no—
917C22⋊Q8—48no—
918C22⋊Q8—48no—
919C22⋊Q8—44no—
920C22⋊Q8—44no—
921C22⋊Q8—44no—
922C22⋊Q8—44no—
923C22⋊Q8—44no—
924C22⋊Q8—44no—
925C22⋊Q8—44no—
926C22⋊Q8—44no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8—48no—
930C22⋊Q8—82no—
931#121—24no—
932#121—28no—
933#121—44no—
934#121—44no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—48no—
940#121—44no—
941#121—42no—
942#121—44no—
943#121—44no—
944#121—44no—
945#121—42no—
946#121—44no—
947#121—42no—
948#121—44no—
949#121—44no—
950#121—48no—
951#121—44no—
952#121—44no—
953#121—84no—
954#121—84no—
955#121—82no—
956#121—84no—
957#120—44no—
958#120—48no—
959#120—48no—
960#120—44no—
961#120—44no—
962C4×Q8—24no—
963C4×Q8—44no—
964C4×Q8—44no—
965C4×Q8—44no—
966C4×Q8—44no—
967C4×D4—24no—
968C4×D4—28no—
969C4×D4—24no—
970C4×D4—24no—
971C4×D4—24no—
972C4×D4—44no—
973C4×D4—42no—
974C4×D4—48no—
975C4×D4—42no—
976C4×D4—42no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—48no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—42no—
988C4×D4—48no—
989C4×D4—48no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—48no—
995#117—24no—
996#117—24no—
997#117—44no—
998#117—44no—
999#117—84no—
1000C2×C4⋊C4—28no—
1001C2×C4⋊C4—42no—
1002C2×C4⋊C4—48no—
1003C2×C4⋊C4—44no—
1004C2×C4⋊C4—44no—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C22⋊C4—44no—
1067C2×C22⋊C4—84no—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2411yescharacteristic
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C42—24no—
1140C2×C42—24no—
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2412yes—
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2412yes—
1158C2×C42C2411yescharacteristic
1159C2×C42C2412yes—
1160C2×C42C2414yes—
1161C2×C42C2414yes—
1162C2×C42C2414yes—
1163C2×C42C2411yescharacteristic
1164C2×C42C2412yes—
1165C2×C42C2411yescharacteristic
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2411yescharacteristic
1183#95C2412yes—
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2411yescharacteristic
1187#95C2411yescharacteristic
1188#95C2411yescharacteristic
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224C24—24no—
1225C24—24no—
1226C24—42no—
1227C24—42no—
1228C24—42no—
1229C24—42no—
1230C24—42no—
1231C24C2512yes—
1232C24C2511yescharacteristic
1233C24C2512yes—
1234C24C2514yes—
1235C24C2511yescharacteristic
1236C24C2512yes—
1237#41—816no—
1238#41—816no—
1239#41—816no—
1240C2×Q8—22no—
1241C2×Q8—24no—
1242C2×Q8—24no—
1243C2×Q8—22no—
1244C2×Q8—22no—
1245C2×Q8—24no—
1246C2×Q8—24no—
1247C2×Q8—24no—
1248C2×Q8—42no—
1249C2×Q8—42no—
1250C2×Q8—42no—
1251C2×Q8—42no—
1252C2×Q8—42no—
1253C2×Q8—42no—
1254C2×Q8—42no—
1255C2×D4—22no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—28no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—28no—
1263C2×D4—28no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—28no—
1272C2×D4—24no—
1273C2×D4—22no—
1274C2×D4—24no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—22no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—42no—
1292C2×D4—44no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—44no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—44no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—44no—
1312C2×D4—42no—
1313C2×D4—44no—
1314C2×D4—42no—
1315C2×D4—44no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—416no—
1327C2×D42−1+414yes—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—24no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—22no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—28no—
1352C22×C4—28no—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—42no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—42no—
1362C22×C4—42no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—41no—
1368C22×C4—41no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—41no—
1372C22×C4—41no—
1373C22×C4—42no—
1374C22×C4—44no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—816no—
1382C22×C4H(5,𝔽2)14yes—
1383C22×C4C2511yescharacteristic
1384C22×C4C2512yes—
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2511yescharacteristic
1393C22×C4C2512yes—
1394C22×C4C2512yes—
1395C22×C4C2514yes—
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C22×C4C2514yes—
1399C22×C4C2511yescharacteristic
1400C22×C4C2512yes—
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2511yescharacteristic
1404C22×C4C2514yes—
1405C22×C4C2512yes—
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2512yes—
1409C22×C4C2511yescharacteristic
1410C22×C4C2511yescharacteristic
1411C22×C4C2511yescharacteristic
1412C4⋊C4—24no—
1413C4⋊C4—28no—
1414C4⋊C4—24no—
1415C4⋊C4—22no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—24no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—28no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—42no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—41no—
1449C4⋊C4—41no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C4⋊C4—42no—
1472C4⋊C4H(5,𝔽2)14yes—
1473C22⋊C4—24no—
1474C22⋊C4—22no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—22no—
1483C22⋊C4—24no—
1484C22⋊C4—28no—
1485C22⋊C4—28no—
1486C22⋊C4—24no—
1487C22⋊C4—22no—
1488C22⋊C4—22no—
1489C22⋊C4—24no—
1490C22⋊C4—28no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—44no—
1500C22⋊C4—42no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—42no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—42no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—42no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—42no—
1541C22⋊C4—44no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C42—22no—
1545C42—22no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—22no—
1550C42—24no—
1551C42—24no—
1552C42—22no—
1553C42—24no—
1554C42—24no—
1555C42—22no—
1556C42—22no—
1557C42—24no—
1558C42—24no—
1559C42—22no—
1560C42—24no—
1561C42—22no—
1562C42—44no—
1563C42—42no—
1564C42—44no—
1565C42—44no—
1566C42—41no—
1567C42—42no—
1568C42H(5,𝔽2)14yes—
1569C23—22no—
1570C23—21no—
1571C23—22no—
1572C23—22no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—22no—
1577C23—21no—
1578C23—22no—
1579C23—21no—
1580C23—22no—
1581C23—21no—
1582C23—22no—
1583C23—22no—
1584C23—21no—
1585C23—24no—
1586C23—22no—
1587C23—21no—
1588C23—22no—
1589C23—22no—
1590C23—22no—
1591C23—24no—
1592C23—24no—
1593C23—21no—
1594C23—22no—
1595C23—24no—
1596C23—22no—
1597C23—21no—
1598C23—22no—
1599C23—24no—
1600C23—22no—
1601C23—24no—
1602C23—22no—
1603C23—21no—
1604C23—22no—
1605C23—22no—
1606C23—24no—
1607C23—22no—
1608C23—21no—
1609C23—48no—
1610C23—48no—
1611C23—84no—
1612C23—84no—
1613C23—84no—
1614C23—84no—
1615C23—84no—
1616C23C2×H(5,𝔽2)12yes—
1617C23C2×2−1+414yes—
1618C23C2611yescharacteristic
1619Q8—48no—
1620Q8—44no—
1621Q8—84no—
1622Q8—84no—
1623Q8—84no—
1624D4—28no—
1625D4—48no—
1626D4—44no—
1627D4—48no—
1628D4—44no—
1629D4—48no—
1630D4—44no—
1631D4—48no—
1632D4—88no—
1633D4—84no—
1634D4—84no—
1635D4—88no—
1636D4—84no—
1637D4—84no—
1638D4—88no—
1639D4—88no—
1640D4—88no—
1641D4—84no—
1642D4—84no—
1643D4—84no—
1644D4—84no—
1645D4—88no—
1646D4—164no—
1647D4—164no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—28no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—24no—
1673C2×C4—24no—
1674C2×C4—24no—
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—21no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—24no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—24no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—24no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—24no—
1725C2×C4—22no—
1726C2×C4—44no—
1727C2×C4—44no—
1728C2×C4—48no—
1729C2×C4—48no—
1730C2×C4—48no—
1731C2×C4—44no—
1732C2×C4—88no—
1733C2×C4—82no—
1734C2×C4—82no—
1735C2×C4—84no—
1736C2×C4—84no—
1737C2×C4—88no—
1738C2×C4—84no—
1739C2×C4—88no—
1740C2×C4—88no—
1741C2×C4—164no—
1742C2×C4—164no—
1743C2×C4C2×H(5,𝔽2)12yes—
1744C2×C4C2×H(5,𝔽2)12yes—
1745C2×C4C2×H(5,𝔽2)14yes—
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×C4C2×2−1+412yes—
1751C2×C4#58512yes—
1752C2×C4#58512yes—
1753C22—24no—
1754C22—22no—
1755C22—22no—
1756C22—24no—
1757C22—24no—
1758C22—22no—
1759C22—41no—
1760C22—42no—
1761C22—42no—
1762C22—41no—
1763C22—42no—
1764C22—41no—
1765C22—41no—
1766C22—42no—
1767C22—41no—
1768C22—42no—
1769C22—42no—
1770C22—44no—
1771C22—42no—
1772C22—41no—
1773C22—42no—
1774C22—44no—
1775C22—44no—
1776C22—41no—
1777C22—42no—
1778C22—42no—
1779C22—42no—
1780C22—44no—
1781C22—41no—
1782C22—42no—
1783C22—42no—
1784C22—42no—
1785C22—44no—
1786C22—41no—
1787C22—41no—
1788C22—42no—
1789C22—44no—
1790C22—42no—
1791C22—41no—
1792C22—42no—
1793C22—44no—
1794C22—42no—
1795C22—816no—
1796C22C22×H(5,𝔽2)11yescharacteristic
1797C22C22×H(5,𝔽2)11yescharacteristic
1798C22C22×H(5,𝔽2)11yescharacteristic
1799C22C22×2−1+411yescharacteristic
1800C22C2×#58511yescharacteristic
1801C22C2×#58511yescharacteristic
1802C22H(7,𝔽2)11yescharacteristic
1803C4—22no—
1804C4—22no—
1805C4—24no—
1806C4—22no—
1807C4—41no—
1808C4—41no—
1809C4—42no—
1810C4—42no—
1811C4—42no—
1812C4—41no—
1813C4—42no—
1814C4—44no—
1815C4—42no—
1816C4—42no—
1817C4—41no—
1818C4—42no—
1819C4—42no—
1820C4—44no—
1821C4—42no—
1822C4—41no—
1823C4—42no—
1824C4—41no—
1825C4—42no—
1826C4—41no—
1827C4—41no—
1828C4—42no—
1829C4—44no—
1830C4#354114yes—
1831C4#354314yes—
1832C2—44no—
1833C2—42no—
1834C2—81no—
1835C2—82no—
1836C2—84no—
1837C2—82no—
1838C2C2×#354111yescharacteristic
1839C2C2×#354311yescharacteristic
1840C2#6275911yescharacteristic
1841C2#6292011yescharacteristic
1842C2#6294411yescharacteristic
1843C2#6295511yescharacteristic
1844C2#6301511yescharacteristic
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. #59823C2semidirect
2. #59696C2semidirect
3. #59066C2semidirect
4. #59052C2semidirect
5. #59024C2semidirect
6. #57605C2semidirect
7. #57222C2semidirect
8. #53152C2semidirect
9. #53115C2semidirect
10. #52999C2semidirect
11. #52956C2semidirect
12. #52663C2semidirect
13. #42589C2semidirect
14. #42581C2semidirect
15. #42570C2semidirect
16. #42434C2semidirect
17. #41167C2semidirect
18. #40177C2semidirect
19. #39884C2semidirect
20. #39672C2semidirect
21. #39341C2semidirect
22. #39201C2semidirect
23. #39169C2semidirect
24. #39148C2semidirect
25. #37656C2semidirect
26. #37634C2semidirect
27. #37628C2semidirect
28. #37625C2semidirect
29. #37444C2semidirect
30. #36301C2semidirect
31. #36154C2semidirect
32. #36150C2semidirect
33. #34936C2semidirect
34. #34803C2semidirect
35. #34681C2semidirect
37. C2×#554C22semidirect
38. C2×#550C22semidirect
40. C2×#537C22semidirect
41. C2×#533C22semidirect
48. #2864C22semidirect
49. #2858C22semidirect
51. #2856C22semidirect
53. #2838C22semidirect
54. #2837C22semidirect
55. #2836C22semidirect
56. #2836C22semidirect
57. #2834C22semidirect
58. #2829C22semidirect
59. #2829C22semidirect
60. #2826C22semidirect
63. #2816C22semidirect
64. #2816C22semidirect
67. #2784C22semidirect
68. #2780C22semidirect
70. #2757C22semidirect
71. #2756C22semidirect
72. #2749C22semidirect
73. #2748C22semidirect
74. #2743C22semidirect
75. #2740C22semidirect
76. #2732C22semidirect
77. #2732C22semidirect
79. #2720C22semidirect
80. #2714C22semidirect
81. #2712C22semidirect
82. #2711C22semidirect
83. #2710C22semidirect
85. #2705C22semidirect
90. #2692C22semidirect
92. #2688C22semidirect
97. #2676C22semidirect
98. #2676C22semidirect
99. #2676C22semidirect
100. #2675C22semidirect
104. #2660C22semidirect
105. #2654C22semidirect
107. #2647C22semidirect
109. #2644C22semidirect
111. #2641C22semidirect
113. #2632C22semidirect
114. #2630C22semidirect
115. #2630C22semidirect
116. #2630C22semidirect
117. #2625C22semidirect
118. #2624C22semidirect
119. #2624C22semidirect
120. #2621C22semidirect
121. #2620C22semidirect
124. #2616C22semidirect
125. #2616C22semidirect
126. #2615C22semidirect
127. #2602C22semidirect
128. #2580C22semidirect
129. #2579C22semidirect
130. #2571C22semidirect
131. #2566C22semidirect
132. #2564C22semidirect
134. #2563C22semidirect
135. #2552C22semidirect
136. #2552C22semidirect
138. #2546C22semidirect
139. #2543C22semidirect
142. #2542C22semidirect
143. #2542C22semidirect
154. #2538C22semidirect
155. #2538C22semidirect
156. #2536C22semidirect
157. #2536C22semidirect
158. #2535C22semidirect
159. #2533C22semidirect
160. #2527C22semidirect
161. #2527C22semidirect
163. #2514C22semidirect
165. #2513C22semidirect
166. #2509C22semidirect
167. #2507C22semidirect
168. #2504C22semidirect
171. #2500C22semidirect
173. #2496C22semidirect
175. #2494C22semidirect
176. #2492C22semidirect
177. #2491C22semidirect
183. #2476C22semidirect
188. #2464C22semidirect
190. #2460C22semidirect
193. #2454C22semidirect
194. #2454C22semidirect
196. #2452C22semidirect
198. #2450C22semidirect
199. #2449C22semidirect
200. #2448C22semidirect
203. #2445C22semidirect
204. #2443C22semidirect
205. #2443C22semidirect
207. #2441C22semidirect
213. #2432C22semidirect
214. #2429C22semidirect
215. #2429C22semidirect
220. #2428C22semidirect
221. #2427C22semidirect
222. #2427C22semidirect
223. #2427C22semidirect
225. #2426C22semidirect
228. #2423C22semidirect
231. #2422C22semidirect
232. #2422C22semidirect
233. #2421C22semidirect
235. #2420C22semidirect
236. #2420C22semidirect
238. #2417C22semidirect
239. #2417C22semidirect
240. #2417C22semidirect
242. #2416C22semidirect
243. #2416C22semidirect
244. #2416C22semidirect
245. #2416C22semidirect
248. #2414C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
260. #2369C22semidirect
261. #2367C22semidirect
263. #2366C22semidirect
264. #2364C22semidirect
266. #2363C22semidirect
267. #2360C22semidirect
271. D4×C4⋊C4C22semidirect
272. D4×C4⋊C4C22semidirect
273. #2344C22semidirect
278. #2324C22semidirect
279. #2322C22semidirect
280. C4×C4⋊Q8C22semidirect
281. C4×C4⋊Q8C22semidirect
285. C4×#126C22semidirect
287. C4×C22⋊Q8C22semidirect
291. #2295C22semidirect
292. #2295C22semidirect
294. #2293C22semidirect
295. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#598232
#596962
#590662
#590522
#590242
#576052
#572222
#531522
#531152
#529992
#529562
#526632
#425892
#425812
#425702
#424342
#411672
#401772
#398842
#396722
#393412
#392012
#391692
#391482
#376562
#376342
#376282
#376252
#374442
#363012
#361542
#361502
#349362
#348032
#346812