Finite Group Databasebeta

← #8429538

Subgroups — #8429538

Order 512.

5067 conjugacy classes of subgroups.

The subgroup lattice has 1815 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59862C212yesmaximal, complemented
2#59568C212yesmaximal, complemented
3#59412C211yesmaximal, characteristic, complemented
4#59234C211yesmaximal, characteristic, complemented
5#59229C211yesmaximal, characteristic, complemented
6#56319C214yesmaximal, complemented
7#54419C214yesmaximal, complemented
8#53128C212yesmaximal, complemented
9#53116C212yesmaximal, complemented
10#53078C212yesmaximal, complemented
11#53061C212yesmaximal, complemented
12#52480C214yesmaximal, complemented
13#42677C212yesmaximal, complemented
14#42673C212yesmaximal, complemented
15#42625C212yesmaximal, complemented
16#42619C212yesmaximal, complemented
17#40740C214yesmaximal, complemented
18#39793C212yesmaximal, complemented
19#39763C211yesmaximal, characteristic, complemented
20#39725C211yesmaximal, characteristic, complemented
21#39272C212yesmaximal, complemented
22#39221C212yesmaximal, complemented
23#39042C212yesmaximal, complemented
24#38977C211yesmaximal, characteristic, complemented
25#38910C211yesmaximal, characteristic, complemented
26#37629C211yesmaximal, characteristic, complemented
27#37622C211yesmaximal, characteristic, complemented
28#37499C212yesmaximal, complemented
29#37493C212yesmaximal, complemented
30#36410C211yesmaximal, characteristic, complemented
31#36258C211yesmaximal, characteristic, complemented
32#36211C211yesmaximal, characteristic, complemented
33#34976C211yesmaximal, characteristic, complemented
34#34727C211yesmaximal, characteristic, complemented
35#34720C211yesmaximal, characteristic, complemented
36C2×#555C2212yes—
37C2×#550C2211yescharacteristic
38C2×#546C2212yes—
39C2×#546C2212yes—
40C2×D42C2211yescharacteristic
41C2×#533C2211yescharacteristic, complemented
42C2×#529C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic, complemented
45#2859C2211yescharacteristic, complemented
46#2856C2211yescharacteristic
47#2856C2211yescharacteristic
48#2854C2212yes—
49#2854C2212yescomplemented
50#2830C2214yescomplemented
51#2830C2214yescomplemented
52#2829C2214yescomplemented
53#2828C2214yescomplemented
54#2828C2214yescomplemented
55#2828C2214yescomplemented
56#2827C2214yescomplemented
57#2826C2214yescomplemented
58#2825C2214yescomplemented
59#2824C2214yescomplemented
60#2819C2214yescomplemented
61#2815C2214yescomplemented
62#2814C2214yescomplemented
63#2812C2214yescomplemented
64#2801C2214yescomplemented
65#2800C2214yescomplemented
66#2800C2214yescomplemented
67#2797C2214yescomplemented
68#2796C2214yescomplemented
69#2796C2214yescomplemented
70#2796C2214yescomplemented
71#2777C2214yescomplemented
72#2775C2214yescomplemented
73#2765C2214yescomplemented
74#2754C2214yescomplemented
75#2753C2214yescomplemented
76#2751C2214yescomplemented
77#2749C2214yescomplemented
78#2749C2214yescomplemented
79#2739C2214yescomplemented
80#2737C2214yescomplemented
81#2735C2214yescomplemented
82#2730C2214yescomplemented
83#2724C2214yescomplemented
84#2711C2214yescomplemented
85#2710C2214yescomplemented
86#2710C2214yescomplemented
87#2701C2214yescomplemented
88#2701C2214yescomplemented
89#2700C2214yescomplemented
90#2699C2214yescomplemented
91#2688C2214yescomplemented
92#2686C2214yescomplemented
93#2685C2214yes—
94#2684C2214yescomplemented
95#2684C2214yescomplemented
96#2678C2214yes—
97#2678C2214yes—
98#2676C2214yescomplemented
99#2670C2214yescomplemented
100#2670C2214yescomplemented
101#2664C2214yescomplemented
102#2661C2214yescomplemented
103#2653C2214yescomplemented
104#2653C2214yescomplemented
105#2652C2214yescomplemented
106#2648C2214yescomplemented
107#2645C2212yescomplemented
108#2644C2212yescomplemented
109#2644C2212yescomplemented
110#2641C2212yes—
111#2640C2212yescomplemented
112#2640C2212yescomplemented
113#2638C2214yescomplemented
114#2628C2212yescomplemented
115#2625C2212yescomplemented
116#2624C2212yes—
117#2624C2212yes—
118#2624C2214yescomplemented
119#2622C2214yescomplemented
120#2622C2214yescomplemented
121#2621C2212yescomplemented
122#2619C2212yescomplemented
123#2617C2214yescomplemented
124#2609C2214yescomplemented
125#2597C2214yescomplemented
126#2595C2214yescomplemented
127#2592C2212yes—
128#2589C2214yescomplemented
129#2584C2212yescomplemented
130#2582C2211yescharacteristic, complemented
131#2582C2211yescharacteristic, complemented
132#2580C2212yescomplemented
133#2561C2214yescomplemented
134#2557C2214yescomplemented
135#2551C2211yescharacteristic, complemented
136#2548C2211yescharacteristic
137#2548C2211yescharacteristic
138#2548C2212yescomplemented
139#2547C2212yescomplemented
140#2547C2212yescomplemented
141#2540C2212yes—
142#2540C2212yescomplemented
143#2538C2211yescharacteristic
144#2538C2211yescharacteristic
145#2538C2211yescharacteristic
146#2538C2211yescharacteristic, complemented
147#2537C2211yescharacteristic
148#2535C2212yes—
149#2535C2212yescomplemented
150#2516C2214yescomplemented
151#2513C2212yes—
152#2513C2212yes—
153#2513C2214yescomplemented
154#2513C2212yescomplemented
155#2513C2212yescomplemented
156#2513C2212yescomplemented
157#2508C2212yescomplemented
158#2503C2212yescomplemented
159#2495C2212yescomplemented
160#2494C2212yescomplemented
161#2492C2212yescomplemented
162#2491C2212yes—
163#2491C2212yescomplemented
164#2491C2212yescomplemented
165#2490C2212yes—
166#2490C2212yescomplemented
167#2490C2212yescomplemented
168#2489C2212yescomplemented
169#2485C2212yescomplemented
170#2485C2212yescomplemented
171#2485C2212yescomplemented
172#2485C2212yescomplemented
173#2485C2212yescomplemented
174#2483C2214yescomplemented
175#2482C2214yescomplemented
176#2479C2212yescomplemented
177#2477C2212yescomplemented
178#2476C2214yescomplemented
179#2475C2212yescomplemented
180#2474C2214yescomplemented
181#2474C2214yescomplemented
182#2472C2214yescomplemented
183#2471C2212yescomplemented
184#2470C2214yescomplemented
185#2467C2212yescomplemented
186#2464C2214yescomplemented
187#2463C2212yescomplemented
188#2461C2214yescomplemented
189#2460C2212yescomplemented
190#2456C2212yescomplemented
191#2454C2211yescharacteristic, complemented
192#2452C2211yescharacteristic
193#2452C2212yescomplemented
194#2452C2212yescomplemented
195#2448C2211yescharacteristic
196#2447C2212yes—
197#2447C2212yescomplemented
198#2447C2212yescomplemented
199#2446C2211yescharacteristic, complemented
200#2445C2212yescomplemented
201#2442C2212yescomplemented
202#2441C2211yescharacteristic, complemented
203#2439C2211yescharacteristic, complemented
204#2439C2212yescomplemented
205#2435C2212yes—
206#2433C2212yes—
207#2432C2211yescharacteristic
208#2432C2212yescomplemented
209#2431C2211yescharacteristic
210#2431C2212yescomplemented
211#2428C2212yes—
212#2428C2211yescharacteristic
213#2427C2211yescharacteristic
214#2427C2214yescomplemented
215#2426C2212yes—
216#2424C2214yes—
217#2424C2214yes—
218#2424C2214yescomplemented
219#2423C2211yescharacteristic, complemented
220#2422C2212yes—
221#2421C2211yescharacteristic, complemented
222#2420C2212yes—
223#2420C2212yescomplemented
224#2420C2212yescomplemented
225#2418C2214yescomplemented
226#2416C2212yes—
227#2416C2212yescomplemented
228#2415C2212yescomplemented
229#2415C2212yescomplemented
230#2415C2211yescharacteristic, complemented
231#2415C2212yescomplemented
232#2415C2212yescomplemented
233#2415C2212yescomplemented
234#2414C2212yes—
235#2414C2212yes—
236#2414C2211yescharacteristic
237#2414C2212yescomplemented
238#2414C2212yescomplemented
239#2414C2212yescomplemented
240#2411C2214yes—
241#2408C2212yes—
242#2408C2212yes—
243#2408C2212yes—
244#2408C2212yes—
245#2407C2212yes—
246#2407C2211yescharacteristic
247#2407C2212yes—
248#2407C2212yescomplemented
249#2407C2212yescomplemented
250#2407C2212yescomplemented
251#2407C2211yescharacteristic, complemented
252#2398C2212yescomplemented
253#2397C2212yescomplemented
254#2392C2214yescomplemented
255#2392C2212yescomplemented
256#2392C2212yescomplemented
257#2369C2212yescomplemented
258#2367C2212yescomplemented
259#2363C2212yescomplemented
260#2363C2212yescomplemented
261#2363C2212yescomplemented
262#2357C2212yescomplemented
263#2355C2211yescharacteristic, complemented
264#2354C2211yescharacteristic
265#2354C2211yescharacteristic, complemented
266D4×C4⋊C4C2211yescharacteristic
267#2347C2212yescomplemented
268#2344C2212yescomplemented
269#2342C2214yescomplemented
270D4×C22⋊C4C2212yes—
271D4×C22⋊C4C2212yes—
272#2335C2214yescomplemented
273#2330C2212yescomplemented
274#2324C2212yescomplemented
275#2319C2212yes—
276#2309C2212yes—
277C4×#127C2211yescharacteristic
278C4×#127C2211yescharacteristic
279C4×#124C2211yescharacteristic
280C4×C22⋊Q8C2212yescomplemented
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×C22⋊Q8C2212yescomplemented
283C4×C22⋊Q8C2212yescomplemented
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2212yes—
287C4×#121C2211yescharacteristic, complemented
288C4×#121C2212yescomplemented
289C4×#121C2212yescomplemented
290#2297C2212yescomplemented
291#2295C2211yescharacteristic, complemented
292#2295C2211yescharacteristic, complemented
293C2×#390C2212yes—
294#2290C2212yescomplemented
295#2290C2212yescomplemented
296#2285C2211yescharacteristic, complemented
297#2285C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304#555—48no—
305#550—44no—
306#546—48no—
307#546—48no—
308D42—44no—
309#533—44no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×#127C2311yescharacteristic
315C2×#127C2311yescharacteristic
316C2×#127C2312yes—
317#529—44no—
318C2×#126C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#124C2311yescharacteristic
323C2×#124C2311yescharacteristic
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#124C2314yes—
328C2×#124C2314yes—
329C2×#124C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2311yescharacteristic
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2311yescharacteristic
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#121C2312yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367C2×#120C2314yes—
368C2×#120C2314yes—
369C2×#120C2314yes—
370C4×#41—44no—
371C4×#41—44no—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2314yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2311yescharacteristic
410C2×#117C2312yes—
411C2×#117C2311yescharacteristic
412C2×#117C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C22⋊C4C2314yes—
415C22×C22⋊C4C2314yes—
416C22×C22⋊C4C2314yes—
417C22×C42C2311yescharacteristic
418C22×C42C2311yescharacteristic
419C22×C42C2312yes—
420C22×C42C2312yes—
421#401C2314yes—
422#400C2312yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2312yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2312yes—
434#399C2312yes—
435#399C2312yes—
436#399C2312yes—
437#398C2312yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2312yes—
474#397C2312yes—
475#397C2314yes—
476#396C2314yes—
477#396C2312yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2312yes—
482#396C2314yes—
483#396C2314yes—
484#396C2312yes—
485#396C2312yes—
486#396C2314yes—
487#396C2314yes—
488#395C2314yes—
489#395C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2312yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2312yes—
520#394C2312yes—
521#394C2314yes—
522#394C2314yes—
523#394C2312yes—
524#394C2314yes—
525#394C2312yes—
526#394C2312yes—
527#394C2314yes—
528#393C2314yes—
529#393C2314yes—
530#393C2312yes—
531#393C2314yes—
532#393C2314yes—
533#393C2314yes—
534#393C2314yes—
535#393C2314yes—
536#393C2312yes—
537#392C2312yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2312yes—
543#392C2314yes—
544#392C2314yes—
545#392C2312yes—
546#392C2314yes—
547#392C2312yes—
548#392C2312yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2312yes—
553#392C2314yes—
554#392C2314yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2314yes—
560#391C2314yes—
561#391C2312yes—
562#391C2314yes—
563#391C2311yescharacteristic
564#391C2311yescharacteristic
565#391C2311yescharacteristic
566#391C2311yescharacteristic
567#391C2311yescharacteristic
568#391C2311yescharacteristic
569#391C2312yes—
570#390C2312yes—
571#390C2311yescharacteristic
572#390C2312yes—
573#390C2312yes—
574#390C2311yescharacteristic
575#390C2312yes—
576#390C2312yes—
577#390C2311yescharacteristic
578#390C2312yes—
579#390C2314yes—
580#390C2312yes—
581#390C2312yes—
582#390C2314yes—
583#390C2314yes—
584#390C2314yes—
585#390C2314yes—
586#390C2314yes—
587#390C2311yescharacteristic
588#390C2312yes—
589#390C2314yes—
590#390C2312yes—
591#390C2312yes—
592#390C2314yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2314yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2314yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2311yescharacteristic
609#390C2311yescharacteristic
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2311yescharacteristic
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2314yes—
619#389C2312yes—
620#389C2314yes—
621#389C2314yes—
622#389C2314yes—
623#389C2311yescharacteristic
624#389C2311yescharacteristic
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2311yescharacteristic
632#389C2312yes—
633#389C2314yes—
634#389C2311yescharacteristic
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#389C2312yes—
638#389C2311yescharacteristic
639#389C2312yes—
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2312yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2312yes—
686#387C2312yes—
687#387C2312yes—
688#387C2314yes—
689#387C2312yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2312yes—
695#387C2312yes—
696#387C2312yes—
697#387C2312yes—
698#386C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2312yes—
712#386C2314yes—
713#386C2314yes—
714#386C2312yes—
715#386C2314yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2312yes—
731#385C2314yes—
732#385C2314yes—
733#385C2312yes—
734#385C2314yes—
735#385C2314yes—
736#385C2312yes—
737#385C2312yes—
738#385C2312yes—
739#385C2312yes—
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#384C2311yescharacteristic
743#384C2311yescharacteristic
744#383C2314yes—
745#382C2314yes—
746#382C2312yes—
747#382C2312yes—
748#382C2312yes—
749#382C2312yes—
750#382C2311yescharacteristic
751#381C2314yes—
752#381C2314yes—
753#381C2314yes—
754#381C2314yes—
755#381C2314yes—
756#380C2314yes—
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2311yescharacteristic
768#380C2312yes—
769#380C2312yes—
770#380C2311yescharacteristic
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2311yescharacteristic
775#380C2312yes—
776#379C2314yes—
777#379C2314yes—
778#379C2314yes—
779#379C2314yes—
780#379C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816#376C2312yes—
817#376C2312yes—
818C43C2311yescharacteristic
819C25C2414yes—
820C2×#41—24no—
821C2×#41—42no—
822C2×#41—42no—
823C2×#41—42no—
824C2×#41—42no—
825C2×#41—42no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C22×Q8C2411yescharacteristic
830C22×Q8C2411yescharacteristic
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×Q8C2414yes—
834C22×D4—28no—
835C22×D4—44no—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2411yescharacteristic
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2414yes—
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C23×C4C2414yes—
876C23×C4C2414yes—
877C23×C4C2412yes—
878C4⋊Q8—44no—
879C4⋊Q8—42no—
880C4⋊Q8—44no—
881C4⋊Q8—42no—
882#127—24no—
883#127—42no—
884#127—44no—
885#126—44no—
886#125—44no—
887#125—42no—
888#125—44no—
889#124—24no—
890#124—44no—
891#124—42no—
892#124—44no—
893#124—48no—
894#124—48no—
895#124—84no—
896#124—84no—
897#123—48no—
898#123—48no—
899#123—44no—
900#123—48no—
901C22⋊Q8—44no—
902C22⋊Q8—44no—
903C22⋊Q8—42no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—42no—
907C22⋊Q8—42no—
908C22⋊Q8—42no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—84no—
912#121—28no—
913#121—24no—
914#121—44no—
915#121—44no—
916#121—48no—
917#121—48no—
918#121—42no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—44no—
923#121—42no—
924#121—42no—
925#121—44no—
926#121—44no—
927#121—44no—
928#121—44no—
929#121—48no—
930#121—48no—
931#121—82no—
932#120—48no—
933#120—48no—
934#120—48no—
935#120—84no—
936#120—84no—
937C4×Q8—24no—
938C4×Q8—24no—
939C4×Q8—24no—
940C4×Q8—44no—
941C4×Q8—42no—
942C4×Q8—42no—
943C4×D4—28no—
944C4×D4—24no—
945C4×D4—24no—
946C4×D4—24no—
947C4×D4—44no—
948C4×D4—42no—
949C4×D4—42no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—42no—
954C4×D4—42no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—42no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—84no—
966C4×D4—82no—
967#117—44no—
968#117—44no—
969#117—44no—
970#117—44no—
971#117—48no—
972#117—44no—
973#117—42no—
974#117—42no—
975#117—44no—
976#117—44no—
977#117—82no—
978C2×C4⋊C4—44no—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C22⋊C4—48no—
1037C2×C22⋊C4—48no—
1038C2×C22⋊C4—48no—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C22⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C42—24no—
1117C2×C42—24no—
1118C2×C42—44no—
1119C2×C42—44no—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2412yes—
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2414yes—
1136C2×C42C2414yes—
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2414yes—
1140C2×C42C2414yes—
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2411yescharacteristic
1145C2×C42C2414yes—
1146C2×C42C2411yescharacteristic
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2411yescharacteristic
1156#95C2412yes—
1157#95C2412yes—
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205C24—28no—
1206C24—44no—
1207C24—44no—
1208C24—44no—
1209C24—44no—
1210C24—44no—
1211C24—44no—
1212C24C2512yes—
1213C24C2514yes—
1214C24C2512yes—
1215C24C2511yescharacteristic
1216C24C2511yescharacteristic
1217C24C2512yes—
1218#41—416no—
1219#41—416no—
1220#41—816no—
1221C2×Q8—22no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—22no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—22no—
1230C2×Q8—42no—
1231C2×Q8—42no—
1232C2×Q8—42no—
1233C2×Q8—44no—
1234C2×Q8—44no—
1235C2×Q8—44no—
1236C2×D4—24no—
1237C2×D4—28no—
1238C2×D4—24no—
1239C2×D4—28no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—22no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—24no—
1254C2×D4—22no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—42no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—44no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—44no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—816no—
1302C2×D4—816no—
1303C2×D4H(5,𝔽2)14yes—
1304C22×C4—24no—
1305C22×C4—28no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—22no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—22no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—24no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—24no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—41no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—42no—
1339C22×C4—42no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—41no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—41no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2514yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2512yes—
1366C22×C4C2511yescharacteristic
1367C22×C4C2514yes—
1368C22×C4C2514yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2512yes—
1371C22×C4C2511yescharacteristic
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C4⋊C4—24no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—22no—
1391C4⋊C4—24no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—24no—
1395C4⋊C4—22no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—24no—
1400C4⋊C4—22no—
1401C4⋊C4—24no—
1402C4⋊C4—44no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—41no—
1414C4⋊C4—41no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—42no—
1429C4⋊C4—44no—
1430C4⋊C4—42no—
1431C4⋊C4—44no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C22⋊C4—24no—
1439C22⋊C4—28no—
1440C22⋊C4—24no—
1441C22⋊C4—28no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—28no—
1448C22⋊C4—22no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—44no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—44no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—42no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—42no—
1499C22⋊C4—44no—
1500C22⋊C4—42no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—42no—
1504C22⋊C4—44no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C42—22no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—24no—
1522C42—24no—
1523C42—24no—
1524C42—24no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—24no—
1529C42—22no—
1530C42—42no—
1531C42—42no—
1532C42—42no—
1533C42—42no—
1534C42—44no—
1535C42—44no—
1536C42—44no—
1537C42—44no—
1538C42—41no—
1539C42—41no—
1540C42—44no—
1541C42H(5,𝔽2)14yes—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—21no—
1551C23—21no—
1552C23—22no—
1553C23—21no—
1554C23—22no—
1555C23—24no—
1556C23—21no—
1557C23—24no—
1558C23—24no—
1559C23—22no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—22no—
1564C23—22no—
1565C23—24no—
1566C23—22no—
1567C23—22no—
1568C23—24no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—22no—
1573C23—24no—
1574C23—22no—
1575C23—21no—
1576C23—21no—
1577C23—22no—
1578C23—21no—
1579C23—24no—
1580C23—22no—
1581C23—22no—
1582C23—21no—
1583C23—88no—
1584C23—88no—
1585C23—88no—
1586C23—88no—
1587C23—88no—
1588C23—164no—
1589C23—164no—
1590C23C2×H(5,𝔽2)14yes—
1591C23C2611yescharacteristic
1592Q8—44no—
1593Q8—44no—
1594Q8—44no—
1595Q8—84no—
1596Q8—164no—
1597D4—28no—
1598D4—48no—
1599D4—44no—
1600D4—48no—
1601D4—48no—
1602D4—44no—
1603D4—44no—
1604D4—48no—
1605D4—84no—
1606D4—88no—
1607D4—84no—
1608D4—88no—
1609D4—84no—
1610D4—84no—
1611D4—84no—
1612D4—84no—
1613D4—84no—
1614D4—88no—
1615D4—88no—
1616D4—164no—
1617D4—164no—
1618D4—164no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—24no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—24no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—24no—
1662C2×C4—21no—
1663C2×C4—24no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—24no—
1676C2×C4—24no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—24no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—24no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—44no—
1699C2×C4—48no—
1700C2×C4—48no—
1701C2×C4—44no—
1702C2×C4—48no—
1703C2×C4—44no—
1704C2×C4—44no—
1705C2×C4—48no—
1706C2×C4—44no—
1707C2×C4—48no—
1708C2×C4—84no—
1709C2×C4—84no—
1710C2×C4—82no—
1711C2×C4—88no—
1712C2×C4—88no—
1713C2×C4—164no—
1714C2×C4C2×H(5,𝔽2)12yes—
1715C2×C4C2×H(5,𝔽2)12yes—
1716C2×C4C2×H(5,𝔽2)12yes—
1717C2×C4C2×H(5,𝔽2)12yes—
1718C2×C4#58512yes—
1719C2×C4#58512yes—
1720C2×C4#58512yes—
1721C2×C4#58512yes—
1722C22—24no—
1723C22—24no—
1724C22—24no—
1725C22—42no—
1726C22—42no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—41no—
1731C22—41no—
1732C22—42no—
1733C22—44no—
1734C22—41no—
1735C22—41no—
1736C22—42no—
1737C22—44no—
1738C22—42no—
1739C22—41no—
1740C22—42no—
1741C22—42no—
1742C22—41no—
1743C22—44no—
1744C22—44no—
1745C22—41no—
1746C22—42no—
1747C22—41no—
1748C22—42no—
1749C22—41no—
1750C22—41no—
1751C22—42no—
1752C22—44no—
1753C22—42no—
1754C22—42no—
1755C22—42no—
1756C22—41no—
1757C22—44no—
1758C22—41no—
1759C22—41no—
1760C22—42no—
1761C22—41no—
1762C22—42no—
1763C22—44no—
1764C22—1616no—
1765C22C22×H(5,𝔽2)11yescharacteristic
1766C22C22×H(5,𝔽2)11yescharacteristic
1767C22C2×#58511yescharacteristic
1768C22C2×#58511yescharacteristic
1769C22C2×#58511yescharacteristic
1770C22C2×#58511yescharacteristic
1771C22H(7,𝔽2)11yescharacteristic
1772C4—22no—
1773C4—22no—
1774C4—41no—
1775C4—41no—
1776C4—42no—
1777C4—42no—
1778C4—42no—
1779C4—41no—
1780C4—42no—
1781C4—44no—
1782C4—41no—
1783C4—41no—
1784C4—44no—
1785C4—42no—
1786C4—42no—
1787C4—42no—
1788C4—42no—
1789C4—41no—
1790C4—42no—
1791C4—41no—
1792C4—44no—
1793C4—41no—
1794C4—41no—
1795C4—42no—
1796C4—42no—
1797C4—42no—
1798C4—42no—
1799C4#354014yes—
1800C4#354214yes—
1801C2—44no—
1802C2—81no—
1803C2—82no—
1804C2—81no—
1805C2—84no—
1806C2—82no—
1807C2C2×#354211yescharacteristic
1808C2C2×#354011yescharacteristic
1809C2#6276211yescharacteristic
1810C2#6292011yescharacteristic
1811C2#6295711yescharacteristic
1812C2#6296611yescharacteristic
1813C2#6302111yescharacteristic
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. #59862C2semidirect
2. #59568C2semidirect
3. #59412C2semidirect
4. #59234C2semidirect
5. #59229C2semidirect
6. #56319C2semidirect
7. #54419C2semidirect
8. #53128C2semidirect
9. #53116C2semidirect
10. #53078C2semidirect
11. #53061C2semidirect
12. #52480C2semidirect
13. #42677C2semidirect
14. #42673C2semidirect
15. #42625C2semidirect
16. #42619C2semidirect
17. #40740C2semidirect
18. #39793C2semidirect
19. #39763C2semidirect
20. #39725C2semidirect
21. #39272C2semidirect
22. #39221C2semidirect
23. #39042C2semidirect
24. #38977C2semidirect
25. #38910C2semidirect
26. #37629C2semidirect
27. #37622C2semidirect
28. #37499C2semidirect
29. #37493C2semidirect
30. #36410C2semidirect
31. #36258C2semidirect
32. #36211C2semidirect
33. #34976C2semidirect
34. #34727C2semidirect
35. #34720C2semidirect
41. C2×#533C22semidirect
44. C2×C4×#41C22semidirect
45. #2859C22semidirect
49. #2854C22semidirect
50. #2830C22semidirect
51. #2830C22semidirect
52. #2829C22semidirect
53. #2828C22semidirect
54. #2828C22semidirect
55. #2828C22semidirect
56. #2827C22semidirect
57. #2826C22semidirect
58. #2825C22semidirect
59. #2824C22semidirect
60. #2819C22semidirect
61. #2815C22semidirect
62. #2814C22semidirect
63. #2812C22semidirect
64. #2801C22semidirect
65. #2800C22semidirect
66. #2800C22semidirect
67. #2797C22semidirect
68. #2796C22semidirect
69. #2796C22semidirect
70. #2796C22semidirect
71. #2777C22semidirect
72. #2775C22semidirect
73. #2765C22semidirect
74. #2754C22semidirect
75. #2753C22semidirect
76. #2751C22semidirect
77. #2749C22semidirect
78. #2749C22semidirect
79. #2739C22semidirect
80. #2737C22semidirect
81. #2735C22semidirect
82. #2730C22semidirect
83. #2724C22semidirect
84. #2711C22semidirect
85. #2710C22semidirect
86. #2710C22semidirect
87. #2701C22semidirect
88. #2701C22semidirect
89. #2700C22semidirect
90. #2699C22semidirect
91. #2688C22semidirect
92. #2686C22semidirect
94. #2684C22semidirect
95. #2684C22semidirect
98. #2676C22semidirect
99. #2670C22semidirect
100. #2670C22semidirect
101. #2664C22semidirect
102. #2661C22semidirect
103. #2653C22semidirect
104. #2653C22semidirect
105. #2652C22semidirect
106. #2648C22semidirect
107. #2645C22semidirect
108. #2644C22semidirect
109. #2644C22semidirect
111. #2640C22semidirect
112. #2640C22semidirect
113. #2638C22semidirect
114. #2628C22semidirect
115. #2625C22semidirect
118. #2624C22semidirect
119. #2622C22semidirect
120. #2622C22semidirect
121. #2621C22semidirect
122. #2619C22semidirect
123. #2617C22semidirect
124. #2609C22semidirect
125. #2597C22semidirect
126. #2595C22semidirect
128. #2589C22semidirect
129. #2584C22semidirect
130. #2582C22semidirect
131. #2582C22semidirect
132. #2580C22semidirect
133. #2561C22semidirect
134. #2557C22semidirect
135. #2551C22semidirect
138. #2548C22semidirect
139. #2547C22semidirect
140. #2547C22semidirect
142. #2540C22semidirect
146. #2538C22semidirect
149. #2535C22semidirect
150. #2516C22semidirect
153. #2513C22semidirect
154. #2513C22semidirect
155. #2513C22semidirect
156. #2513C22semidirect
157. #2508C22semidirect
158. #2503C22semidirect
159. #2495C22semidirect
160. #2494C22semidirect
161. #2492C22semidirect
163. #2491C22semidirect
164. #2491C22semidirect
166. #2490C22semidirect
167. #2490C22semidirect
168. #2489C22semidirect
169. #2485C22semidirect
170. #2485C22semidirect
171. #2485C22semidirect
172. #2485C22semidirect
173. #2485C22semidirect
174. #2483C22semidirect
175. #2482C22semidirect
176. #2479C22semidirect
177. #2477C22semidirect
178. #2476C22semidirect
179. #2475C22semidirect
180. #2474C22semidirect
181. #2474C22semidirect
182. #2472C22semidirect
183. #2471C22semidirect
184. #2470C22semidirect
185. #2467C22semidirect
186. #2464C22semidirect
187. #2463C22semidirect
188. #2461C22semidirect
189. #2460C22semidirect
190. #2456C22semidirect
191. #2454C22semidirect
193. #2452C22semidirect
194. #2452C22semidirect
197. #2447C22semidirect
198. #2447C22semidirect
199. #2446C22semidirect
200. #2445C22semidirect
201. #2442C22semidirect
202. #2441C22semidirect
203. #2439C22semidirect
204. #2439C22semidirect
208. #2432C22semidirect
210. #2431C22semidirect
214. #2427C22semidirect
218. #2424C22semidirect
219. #2423C22semidirect
221. #2421C22semidirect
223. #2420C22semidirect
224. #2420C22semidirect
225. #2418C22semidirect
227. #2416C22semidirect
228. #2415C22semidirect
229. #2415C22semidirect
230. #2415C22semidirect
231. #2415C22semidirect
232. #2415C22semidirect
233. #2415C22semidirect
237. #2414C22semidirect
238. #2414C22semidirect
239. #2414C22semidirect
248. #2407C22semidirect
249. #2407C22semidirect
250. #2407C22semidirect
251. #2407C22semidirect
252. #2398C22semidirect
253. #2397C22semidirect
254. #2392C22semidirect
255. #2392C22semidirect
256. #2392C22semidirect
257. #2369C22semidirect
258. #2367C22semidirect
259. #2363C22semidirect
260. #2363C22semidirect
261. #2363C22semidirect
262. #2357C22semidirect
263. #2355C22semidirect
265. #2354C22semidirect
267. #2347C22semidirect
268. #2344C22semidirect
269. #2342C22semidirect
272. #2335C22semidirect
273. #2330C22semidirect
274. #2324C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×C22⋊Q8C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. #2297C22semidirect
291. #2295C22semidirect
292. #2295C22semidirect
294. #2290C22semidirect
295. #2290C22semidirect
296. #2285C22semidirect
297. #2285C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#598622
#595682
#594122
#592342
#592292
#563192
#544192
#531282
#531162
#530782
#530612
#524802
#426772
#426732
#426252
#426192
#407402
#397932
#397632
#397252
#392722
#392212
#390422
#389772
#389102
#376292
#376222
#374992
#374932
#364102
#362582
#362112
#349762
#347272
#347202