Finite Group Databasebeta

← #8174521

Subgroups — #8174521

Order 512.

4946 conjugacy classes of subgroups.

The subgroup lattice has 1813 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59234C211yesmaximal, characteristic, complemented
2#59218C211yesmaximal, characteristic, complemented
3#59049C211yesmaximal, characteristic, complemented
4#59033C211yesmaximal, characteristic, complemented
5#57307C214yesmaximal, complemented
6#56221C214yesmaximal, complemented
7#56014C214yesmaximal, complemented
8#53999C214yesmaximal, complemented
9#53116C212yesmaximal, complemented
10#53061C212yesmaximal, complemented
11#53053C212yesmaximal, complemented
12#52977C212yesmaximal, complemented
13#45075C212yesmaximal, complemented
14#45022C212yesmaximal, complemented
15#42892C212yesmaximal, complemented
16#42761C212yesmaximal, complemented
17#42712C212yesmaximal, complemented
18#42699C212yesmaximal, complemented
19#42547C212yesmaximal, complemented
20#42525C212yesmaximal, complemented
21#39727C211yesmaximal, characteristic, complemented
22#39725C211yesmaximal, characteristic, complemented
23#39478C211yesmaximal, characteristic, complemented
24#39351C211yesmaximal, characteristic, complemented
25#38942C211yesmaximal, characteristic, complemented
26#38940C211yesmaximal, characteristic, complemented
27#37858C212yesmaximal, complemented
28#37668C212yesmaximal, complemented
29#37445C212yesmaximal, complemented
30#37271C212yesmaximal, complemented
31#36161C211yesmaximal, characteristic, complemented
32#36101C211yesmaximal, characteristic, complemented
33#35292C211yesmaximal, characteristic, complemented
34#34935C211yesmaximal, characteristic, complemented
35#34627C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#542C2212yes—
39C2×#533C2211yescharacteristic, complemented
40C2×#532C2211yescharacteristic, complemented
41C2×#525C2212yes—
42C2×#525C2212yes—
43C2×C4×#41C2211yescharacteristic
44C22×C4×D4C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic, complemented
47#2856C2211yescharacteristic
48#2856C2211yescharacteristic, complemented
49#2848C2212yes—
50#2847C2212yes—
51#2837C2214yescomplemented
52#2830C2214yescomplemented
53#2829C2214yes—
54#2829C2214yescomplemented
55#2828C2214yes—
56#2828C2214yes—
57#2826C2214yes—
58#2826C2214yescomplemented
59#2824C2214yes—
60#2819C2214yes—
61#2812C2214yes—
62#2812C2214yes—
63#2807C2214yescomplemented
64#2803C2214yescomplemented
65#2783C2214yescomplemented
66#2775C2214yescomplemented
67#2775C2214yescomplemented
68#2767C2214yescomplemented
69#2761C2214yescomplemented
70#2757C2214yescomplemented
71#2757C2214yescomplemented
72#2756C2214yescomplemented
73#2756C2214yescomplemented
74#2754C2214yescomplemented
75#2753C2214yes—
76#2752C2214yescomplemented
77#2751C2214yescomplemented
78#2751C2214yescomplemented
79#2747C2214yes—
80#2743C2214yescomplemented
81#2738C2214yescomplemented
82#2737C2214yescomplemented
83#2737C2214yescomplemented
84#2730C2214yescomplemented
85#2725C2214yescomplemented
86#2723C2214yescomplemented
87#2723C2214yescomplemented
88#2714C2214yes—
89#2714C2214yescomplemented
90#2714C2214yescomplemented
91#2711C2214yescomplemented
92#2710C2214yes—
93#2706C2214yes—
94#2702C2214yescomplemented
95#2702C2214yescomplemented
96#2700C2214yescomplemented
97#2699C2214yescomplemented
98#2697C2214yes—
99#2695C2214yescomplemented
100#2692C2214yescomplemented
101#2688C2214yescomplemented
102#2687C2214yescomplemented
103#2685C2214yes—
104#2684C2214yes—
105#2684C2214yes—
106#2678C2214yes—
107#2676C2214yescomplemented
108#2676C2214yescomplemented
109#2672C2214yes—
110#2670C2214yes—
111#2663C2214yescomplemented
112#2661C2214yescomplemented
113#2651C2214yescomplemented
114#2651C2214yescomplemented
115#2648C2214yescomplemented
116#2641C2212yes—
117#2640C2212yes—
118#2639C2214yescomplemented
119#2638C2212yes—
120#2638C2214yescomplemented
121#2638C2212yescomplemented
122#2635C2214yescomplemented
123#2634C2212yescomplemented
124#2633C2212yes—
125#2628C2211yescharacteristic
126#2628C2211yescharacteristic, complemented
127#2625C2212yes—
128#2625C2211yescharacteristic, complemented
129#2625C2211yescharacteristic, complemented
130#2624C2212yes—
131#2624C2212yescomplemented
132#2621C2211yescharacteristic
133#2621C2211yescharacteristic, complemented
134#2620C2212yes—
135#2619C2212yes—
136#2616C2211yescharacteristic
137#2616C2211yescharacteristic
138#2615C2212yes—
139#2602C2214yes—
140#2602C2214yes—
141#2601C2214yescomplemented
142#2592C2212yes—
143#2592C2212yescomplemented
144#2582C2212yescomplemented
145#2580C2212yescomplemented
146#2580C2212yescomplemented
147#2578C2214yescomplemented
148#2572C2214yes—
149#2568C2211yescharacteristic, complemented
150#2565C2212yescomplemented
151#2563C2212yescomplemented
152#2552C2211yescharacteristic, complemented
153#2551C2211yescharacteristic, complemented
154#2548C2212yes—
155#2548C2212yes—
156#2548C2211yescharacteristic, complemented
157#2547C2211yescharacteristic
158#2547C2212yescomplemented
159#2544C2212yes—
160#2542C2212yescomplemented
161#2541C2211yescharacteristic
162#2540C2212yes—
163#2540C2212yescomplemented
164#2540C2212yescomplemented
165#2538C2211yescharacteristic
166#2538C2211yescharacteristic
167#2538C2211yescharacteristic
168#2538C2211yescharacteristic
169#2538C2212yescomplemented
170#2537C2211yescharacteristic
171#2537C2211yescharacteristic
172#2537C2212yescomplemented
173#2536C2212yes—
174#2536C2212yescomplemented
175#2535C2212yes—
176#2535C2212yes—
177#2535C2212yescomplemented
178#2534C2212yes—
179#2534C2212yes—
180#2521C2214yescomplemented
181#2516C2214yes—
182#2513C2212yes—
183#2513C2214yescomplemented
184#2512C2212yes—
185#2512C2212yescomplemented
186#2511C2212yescomplemented
187#2511C2212yescomplemented
188#2508C2212yescomplemented
189#2505C2214yescomplemented
190#2500C2212yescomplemented
191#2497C2212yescomplemented
192#2496C2212yescomplemented
193#2495C2212yescomplemented
194#2495C2212yescomplemented
195#2492C2212yescomplemented
196#2492C2212yescomplemented
197#2491C2212yes—
198#2491C2212yes—
199#2491C2212yescomplemented
200#2490C2212yes—
201#2490C2212yescomplemented
202#2489C2212yes—
203#2486C2211yescharacteristic
204#2486C2211yescharacteristic
205#2485C2212yes—
206#2485C2212yescomplemented
207#2485C2212yescomplemented
208#2480C2214yes—
209#2474C2214yescomplemented
210#2468C2214yescomplemented
211#2467C2214yescomplemented
212#2466C2214yes—
213#2456C2214yes—
214#2452C2212yescomplemented
215#2450C2214yescomplemented
216#2448C2212yescomplemented
217#2448C2212yescomplemented
218#2447C2214yes—
219#2447C2212yes—
220#2447C2212yescomplemented
221#2445C2212yes—
222#2444C2214yescomplemented
223#2439C2212yescomplemented
224#2439C2212yescomplemented
225#2435C2212yes—
226#2433C2212yes—
227#2432C2212yescomplemented
228#2431C2212yes—
229#2431C2212yes—
230#2429C2212yescomplemented
231#2428C2212yes—
232#2427C2212yescomplemented
233#2426C2212yes—
234#2424C2214yes—
235#2422C2212yes—
236#2421C2212yes—
237#2420C2212yescomplemented
238#2420C2212yescomplemented
239#2419C2214yes—
240#2415C2212yes—
241#2415C2212yescomplemented
242#2415C2212yescomplemented
243#2414C2212yes—
244#2414C2212yes—
245#2414C2212yescomplemented
246#2414C2212yescomplemented
247#2414C2212yescomplemented
248#2408C2211yescharacteristic
249#2408C2211yescharacteristic
250#2407C2212yes—
251#2407C2212yes—
252#2407C2212yescomplemented
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2399C2212yescomplemented
256#2398C2212yes—
257#2395C2212yes—
258#2395C2212yescomplemented
259#2392C2212yes—
260#2392C2212yes—
261#2370C2212yescomplemented
262#2369C2212yescomplemented
263#2367C2212yes—
264#2366C2212yes—
265#2366C2211yescharacteristic, complemented
266#2365C2211yescharacteristic, complemented
267#2363C2212yescomplemented
268#2362C2212yescomplemented
269#2361C2212yes—
270#2360C2212yes—
271#2355C2211yescharacteristic, complemented
272#2354C2211yescharacteristic
273#2354C2211yescharacteristic
274Q8×C4⋊C4C2211yescharacteristic, complemented
275#2347C2212yescomplemented
276#2341C2212yescomplemented
277#2339C2212yescomplemented
278#2339C2212yescomplemented
279#2324C2212yes—
280#2324C2212yescomplemented
281#2324C2212yescomplemented
282#2323C2212yescomplemented
283#2320C2212yescomplemented
284#2319C2212yescomplemented
285#2314C2212yes—
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic, complemented
289C4×C22⋊Q8C2211yescharacteristic, complemented
290C4×#121C2211yescharacteristic
291C4×#121C2211yescharacteristic
292C4×#121C2211yescharacteristic
293C4×#121C2211yescharacteristic
294#2285C2211yescharacteristic
295#2285C2211yescharacteristic, complemented
296#2283C2211yescharacteristic, complemented
297#2280C2212yes—
298#2280C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2311yescharacteristic
303C24×C4C2312yes—
304#556—44no—
305#550—44no—
306#542—48no—
307#533—44no—
308#532—44no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2314yes—
326C2×#124C2312yes—
327C2×#124C2314yes—
328C2×#124C2314yes—
329#525—48no—
330#525—48no—
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2314yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2311yescharacteristic
359C2×#121C2311yescharacteristic
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2311yescharacteristic
363C2×#121C2311yescharacteristic
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#120C2312yes—
371C2×#120C2312yes—
372C2×#120C2314yes—
373C2×#120C2314yes—
374C4×#41—44no—
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2312yes—
383C2×C4×D4—44no—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2314yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2311yescharacteristic
410C2×#117C2311yescharacteristic
411C2×#117C2312yes—
412C2×#117C2312yes—
413C2×#117C2312yes—
414C2×#117C2311yescharacteristic
415C2×#117C2312yes—
416C22×C4⋊C4C2311yescharacteristic
417C22×C22⋊C4C2312yes—
418C22×C42C2311yescharacteristic
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421#400C2314yes—
422#400C2312yes—
423#400C2314yes—
424#400C2312yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2312yes—
430#400C2314yes—
431#400C2312yes—
432#400C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2312yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2312yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2312yes—
449#398C2312yes—
450#398C2312yes—
451#398C2312yes—
452#398C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2312yes—
460#397C2312yes—
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#397C2312yes—
476#397C2312yes—
477#397C2314yes—
478#397C2312yes—
479#397C2312yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2312yes—
490#396C2312yes—
491#396C2314yes—
492#396C2312yes—
493#396C2312yes—
494#396C2314yes—
495#395C2312yes—
496#395C2312yes—
497#395C2312yes—
498#395C2312yes—
499#395C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2312yes—
505#394C2314yes—
506#394C2314yes—
507#394C2312yes—
508#394C2314yes—
509#394C2314yes—
510#394C2312yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2312yes—
525#394C2314yes—
526#394C2314yes—
527#394C2312yes—
528#394C2312yes—
529#394C2314yes—
530#394C2312yes—
531#394C2312yes—
532#394C2312yes—
533#394C2312yes—
534#394C2314yes—
535#394C2314yes—
536#394C2312yes—
537#394C2312yes—
538#394C2314yes—
539#394C2314yes—
540#393C2314yes—
541#393C2314yes—
542#393C2312yes—
543#393C2314yes—
544#393C2314yes—
545#393C2314yes—
546#393C2314yes—
547#393C2312yes—
548#393C2314yes—
549#393C2314yes—
550#392C2312yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2312yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#391C2312yes—
566#391C2312yes—
567#391C2312yes—
568#391C2312yes—
569#391C2314yes—
570#391C2312yes—
571#391C2312yes—
572#391C2311yescharacteristic
573#391C2312yes—
574#391C2311yescharacteristic
575#391C2312yes—
576#391C2311yescharacteristic
577#391C2311yescharacteristic
578#391C2314yes—
579#391C2314yes—
580#391C2314yes—
581#390C2314yes—
582#390C2314yes—
583#390C2314yes—
584#390C2314yes—
585#390C2314yes—
586#390C2314yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2314yes—
591#390C2312yes—
592#390C2314yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2311yescharacteristic
598#390C2312yes—
599#390C2312yes—
600#390C2314yes—
601#390C2314yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2314yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2311yescharacteristic
610#390C2314yes—
611#390C2311yescharacteristic
612#390C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2312yes—
615#389C2311yescharacteristic
616#389C2312yes—
617#389C2312yes—
618#389C2314yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2314yes—
625#389C2314yes—
626#389C2314yes—
627#389C2311yescharacteristic
628#389C2312yes—
629#389C2312yes—
630#389C2314yes—
631#389C2312yes—
632#389C2311yescharacteristic
633#389C2312yes—
634#389C2311yescharacteristic
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#387C2314yes—
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#386C2312yes—
709#386C2314yes—
710#386C2312yes—
711#386C2312yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2312yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#385C2312yes—
726#385C2312yes—
727#384C2311yescharacteristic
728#384C2312yes—
729#384C2312yes—
730#384C2311yescharacteristic
731#384C2311yescharacteristic
732#384C2311yescharacteristic
733#383C2314yes—
734#383C2314yes—
735#383C2312yes—
736#382C2314yes—
737#382C2314yes—
738#382C2312yes—
739#382C2312yes—
740#382C2312yes—
741#382C2311yescharacteristic
742#382C2311yescharacteristic
743#382C2312yes—
744#381C2312yes—
745#381C2314yes—
746#381C2314yes—
747#381C2314yes—
748#381C2314yes—
749#381C2312yes—
750#381C2312yes—
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2314yes—
758#380C2312yes—
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2312yes—
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2314yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#379C2314yes—
783#379C2312yes—
784#379C2312yes—
785#379C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2314yes—
797C4×C4⋊C4C2314yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817#376C2312yes—
818C2×#95C2314yes—
819C25C2412yes—
820C2×#41—24no—
821C2×#41—42no—
822C2×#41—42no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C22×Q8C2411yescharacteristic
830C22×Q8C2412yes—
831C22×Q8C2411yescharacteristic
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2414yes—
835C22×D4—42no—
836C22×D4—42no—
837C22×D4—42no—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2411yescharacteristic
844C22×D4C2411yescharacteristic
845C22×D4C2414yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C23×C4—28no—
859C23×C4—44no—
860C23×C4—44no—
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2412yes—
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2412yes—
875C23×C4C2414yes—
876C23×C4C2414yes—
877C23×C4C2414yes—
878C4⋊Q8—24no—
879C4⋊Q8—44no—
880C4⋊Q8—42no—
881C4⋊Q8—44no—
882C4⋊Q8—42no—
883#127—24no—
884#127—44no—
885#127—44no—
886#126—48no—
887#126—48no—
888#126—84no—
889#125—44no—
890#125—44no—
891#124—44no—
892#124—44no—
893#124—44no—
894#124—44no—
895#124—48no—
896#124—84no—
897#124—84no—
898#123—48no—
899#123—48no—
900#123—44no—
901#123—44no—
902C22⋊Q8—24no—
903C22⋊Q8—24no—
904C22⋊Q8—48no—
905C22⋊Q8—44no—
906C22⋊Q8—42no—
907C22⋊Q8—44no—
908C22⋊Q8—42no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—44no—
912C22⋊Q8—44no—
913C22⋊Q8—44no—
914C22⋊Q8—42no—
915C22⋊Q8—42no—
916C22⋊Q8—44no—
917C22⋊Q8—84no—
918#121—28no—
919#121—48no—
920#121—44no—
921#121—42no—
922#121—42no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—42no—
927#121—42no—
928#121—44no—
929#121—44no—
930#121—44no—
931#121—44no—
932#121—44no—
933#121—44no—
934#121—84no—
935#121—82no—
936#121—82no—
937#120—44no—
938#120—44no—
939#120—48no—
940#120—84no—
941C4×Q8—24no—
942C4×Q8—24no—
943C4×Q8—42no—
944C4×Q8—42no—
945C4×Q8—44no—
946C4×Q8—44no—
947C4×Q8—44no—
948C4×Q8—44no—
949C4×D4—24no—
950C4×D4—24no—
951C4×D4—44no—
952C4×D4—42no—
953C4×D4—42no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—42no—
961C4×D4—42no—
962C4×D4—42no—
963C4×D4—42no—
964C4×D4—42no—
965C4×D4—42no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—48no—
971C4×D4—48no—
972#117—28no—
973#117—42no—
974#117—42no—
975#117—42no—
976#117—44no—
977#117—44no—
978#117—44no—
979#117—44no—
980#117—82no—
981C2×C4⋊C4—42no—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C22⋊C4—44no—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C42—24no—
1120C2×C42—24no—
1121C2×C42—24no—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2414yes—
1138C2×C42C2414yes—
1139C2×C42C2414yes—
1140C2×C42C2414yes—
1141C2×C42C2414yes—
1142C2×C42C2414yes—
1143C2×C42C2414yes—
1144C2×C42C2411yescharacteristic
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205C24—24no—
1206C24—42no—
1207C24—42no—
1208C24—42no—
1209C24—42no—
1210C24—42no—
1211C24—42no—
1212C24C2512yes—
1213C24C2512yes—
1214C24C2514yes—
1215C24C2511yescharacteristic
1216C24C2511yescharacteristic
1217C24C2511yescharacteristic
1218#41—416no—
1219#41—816no—
1220#41—816no—
1221C2×Q8—22no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—24no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—24no—
1228C2×Q8—22no—
1229C2×Q8—24no—
1230C2×Q8—22no—
1231C2×Q8—41no—
1232C2×Q8—41no—
1233C2×Q8—42no—
1234C2×Q8—42no—
1235C2×Q8—42no—
1236C2×Q8—44no—
1237C2×Q8—44no—
1238C2×Q8—44no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—28no—
1242C2×D4—22no—
1243C2×D4—22no—
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—24no—
1253C2×D4—24no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—42no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—44no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—44no—
1287C2×D4—44no—
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—416no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—24no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—24no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—41no—
1343C22×C4—41no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—816no—
1351C22×C4H(5,𝔽2)14yes—
1352C22×C4C2511yescharacteristic
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2514yes—
1359C22×C4C2511yescharacteristic
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2514yes—
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2511yescharacteristic
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2514yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2512yes—
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—22no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—22no—
1394C4⋊C4—24no—
1395C4⋊C4—24no—
1396C4⋊C4—22no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—41no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—41no—
1414C4⋊C4—41no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—44no—
1429C4⋊C4—42no—
1430C4⋊C4—44no—
1431C4⋊C4—42no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—42no—
1435C4⋊C4—44no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—42no—
1443C4⋊C4—44no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—28no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—42no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—42no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—22no—
1522C42—22no—
1523C42—22no—
1524C42—22no—
1525C42—22no—
1526C42—24no—
1527C42—24no—
1528C42—24no—
1529C42—24no—
1530C42—24no—
1531C42—24no—
1532C42—44no—
1533C42—44no—
1534C42—44no—
1535C42—44no—
1536C42—44no—
1537C42—44no—
1538C42—44no—
1539C42H(5,𝔽2)14yes—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—22no—
1547C23—24no—
1548C23—22no—
1549C23—21no—
1550C23—22no—
1551C23—22no—
1552C23—21no—
1553C23—21no—
1554C23—24no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—24no—
1562C23—24no—
1563C23—22no—
1564C23—22no—
1565C23—24no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—22no—
1571C23—21no—
1572C23—22no—
1573C23—22no—
1574C23—24no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—24no—
1579C23—22no—
1580C23—22no—
1581C23—48no—
1582C23—84no—
1583C23—84no—
1584C23—84no—
1585C23—84no—
1586C23—84no—
1587C23—84no—
1588C23C2×H(5,𝔽2)12yes—
1589C23C2611yescharacteristic
1590Q8—44no—
1591Q8—48no—
1592Q8—44no—
1593Q8—44no—
1594Q8—84no—
1595Q8—164no—
1596D4—44no—
1597D4—44no—
1598D4—44no—
1599D4—48no—
1600D4—44no—
1601D4—44no—
1602D4—48no—
1603D4—48no—
1604D4—84no—
1605D4—88no—
1606D4—84no—
1607D4—84no—
1608D4—84no—
1609D4—84no—
1610D4—88no—
1611D4—88no—
1612D4—88no—
1613D4—164no—
1614D4—164no—
1615D4—164no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—28no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—24no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—24no—
1657C2×C4—24no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—24no—
1666C2×C4—24no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—24no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—24no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—44no—
1697C2×C4—44no—
1698C2×C4—44no—
1699C2×C4—44no—
1700C2×C4—48no—
1701C2×C4—48no—
1702C2×C4—44no—
1703C2×C4—44no—
1704C2×C4—82no—
1705C2×C4—82no—
1706C2×C4—84no—
1707C2×C4—84no—
1708C2×C4—84no—
1709C2×C4—88no—
1710C2×C4—88no—
1711C2×C4—164no—
1712C2×C4C2×H(5,𝔽2)12yes—
1713C2×C4C2×H(5,𝔽2)12yes—
1714C2×C4C2×H(5,𝔽2)12yes—
1715C2×C4C2×H(5,𝔽2)12yes—
1716C2×C4C2×H(5,𝔽2)12yes—
1717C2×C4#58512yes—
1718C2×C4#58512yes—
1719C2×C4#58512yes—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—44no—
1730C22—42no—
1731C22—42no—
1732C22—41no—
1733C22—41no—
1734C22—44no—
1735C22—42no—
1736C22—42no—
1737C22—44no—
1738C22—41no—
1739C22—41no—
1740C22—42no—
1741C22—42no—
1742C22—41no—
1743C22—41no—
1744C22—42no—
1745C22—42no—
1746C22—44no—
1747C22—41no—
1748C22—44no—
1749C22—42no—
1750C22—41no—
1751C22—42no—
1752C22—41no—
1753C22—41no—
1754C22—44no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—41no—
1760C22—41no—
1761C22—44no—
1762C22—816no—
1763C22C22×H(5,𝔽2)11yescharacteristic
1764C22C22×H(5,𝔽2)11yescharacteristic
1765C22C2×#58511yescharacteristic
1766C22C2×#58511yescharacteristic
1767C22C2×#58511yescharacteristic
1768C22H(7,𝔽2)11yescharacteristic
1769C222−1+611yescharacteristic
1770C4—22no—
1771C4—22no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—44no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—42no—
1780C4—42no—
1781C4—42no—
1782C4—42no—
1783C4—44no—
1784C4—42no—
1785C4—42no—
1786C4—42no—
1787C4—42no—
1788C4—44no—
1789C4—42no—
1790C4—42no—
1791C4—42no—
1792C4—42no—
1793C4—41no—
1794C4—41no—
1795C4—42no—
1796C4—42no—
1797C4#354014yes—
1798C4#354214yes—
1799C2—42no—
1800C2—81no—
1801C2—81no—
1802C2—84no—
1803C2—82no—
1804C2—82no—
1805C2C2×#354211yescharacteristic
1806C2C2×#354011yescharacteristic
1807C2#6287511yescharacteristic
1808C2#6295511yescharacteristic
1809C2#6296011yescharacteristic
1810C2#6296611yescharacteristic
1811C2#6296711yescharacteristic
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. #59234C2semidirect
2. #59218C2semidirect
3. #59049C2semidirect
4. #59033C2semidirect
5. #57307C2semidirect
6. #56221C2semidirect
7. #56014C2semidirect
8. #53999C2semidirect
9. #53116C2semidirect
10. #53061C2semidirect
11. #53053C2semidirect
12. #52977C2semidirect
13. #45075C2semidirect
14. #45022C2semidirect
15. #42892C2semidirect
16. #42761C2semidirect
17. #42712C2semidirect
18. #42699C2semidirect
19. #42547C2semidirect
20. #42525C2semidirect
21. #39727C2semidirect
22. #39725C2semidirect
23. #39478C2semidirect
24. #39351C2semidirect
25. #38942C2semidirect
26. #38940C2semidirect
27. #37858C2semidirect
28. #37668C2semidirect
29. #37445C2semidirect
30. #37271C2semidirect
31. #36161C2semidirect
32. #36101C2semidirect
33. #35292C2semidirect
34. #34935C2semidirect
35. #34627C2semidirect
39. C2×#533C22semidirect
40. C2×#532C22semidirect
46. #2857C22semidirect
48. #2856C22semidirect
51. #2837C22semidirect
52. #2830C22semidirect
54. #2829C22semidirect
58. #2826C22semidirect
63. #2807C22semidirect
64. #2803C22semidirect
65. #2783C22semidirect
66. #2775C22semidirect
67. #2775C22semidirect
68. #2767C22semidirect
69. #2761C22semidirect
70. #2757C22semidirect
71. #2757C22semidirect
72. #2756C22semidirect
73. #2756C22semidirect
74. #2754C22semidirect
76. #2752C22semidirect
77. #2751C22semidirect
78. #2751C22semidirect
80. #2743C22semidirect
81. #2738C22semidirect
82. #2737C22semidirect
83. #2737C22semidirect
84. #2730C22semidirect
85. #2725C22semidirect
86. #2723C22semidirect
87. #2723C22semidirect
89. #2714C22semidirect
90. #2714C22semidirect
91. #2711C22semidirect
94. #2702C22semidirect
95. #2702C22semidirect
96. #2700C22semidirect
97. #2699C22semidirect
99. #2695C22semidirect
100. #2692C22semidirect
101. #2688C22semidirect
102. #2687C22semidirect
107. #2676C22semidirect
108. #2676C22semidirect
111. #2663C22semidirect
112. #2661C22semidirect
113. #2651C22semidirect
114. #2651C22semidirect
115. #2648C22semidirect
118. #2639C22semidirect
120. #2638C22semidirect
121. #2638C22semidirect
122. #2635C22semidirect
123. #2634C22semidirect
126. #2628C22semidirect
128. #2625C22semidirect
129. #2625C22semidirect
131. #2624C22semidirect
133. #2621C22semidirect
141. #2601C22semidirect
143. #2592C22semidirect
144. #2582C22semidirect
145. #2580C22semidirect
146. #2580C22semidirect
147. #2578C22semidirect
149. #2568C22semidirect
150. #2565C22semidirect
151. #2563C22semidirect
152. #2552C22semidirect
153. #2551C22semidirect
156. #2548C22semidirect
158. #2547C22semidirect
160. #2542C22semidirect
163. #2540C22semidirect
164. #2540C22semidirect
169. #2538C22semidirect
172. #2537C22semidirect
174. #2536C22semidirect
177. #2535C22semidirect
180. #2521C22semidirect
183. #2513C22semidirect
185. #2512C22semidirect
186. #2511C22semidirect
187. #2511C22semidirect
188. #2508C22semidirect
189. #2505C22semidirect
190. #2500C22semidirect
191. #2497C22semidirect
192. #2496C22semidirect
193. #2495C22semidirect
194. #2495C22semidirect
195. #2492C22semidirect
196. #2492C22semidirect
199. #2491C22semidirect
201. #2490C22semidirect
206. #2485C22semidirect
207. #2485C22semidirect
209. #2474C22semidirect
210. #2468C22semidirect
211. #2467C22semidirect
214. #2452C22semidirect
215. #2450C22semidirect
216. #2448C22semidirect
217. #2448C22semidirect
220. #2447C22semidirect
222. #2444C22semidirect
223. #2439C22semidirect
224. #2439C22semidirect
227. #2432C22semidirect
230. #2429C22semidirect
232. #2427C22semidirect
237. #2420C22semidirect
238. #2420C22semidirect
241. #2415C22semidirect
242. #2415C22semidirect
245. #2414C22semidirect
246. #2414C22semidirect
247. #2414C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2399C22semidirect
258. #2395C22semidirect
261. #2370C22semidirect
262. #2369C22semidirect
265. #2366C22semidirect
266. #2365C22semidirect
267. #2363C22semidirect
268. #2362C22semidirect
271. #2355C22semidirect
274. Q8×C4⋊C4C22semidirect
275. #2347C22semidirect
276. #2341C22semidirect
277. #2339C22semidirect
278. #2339C22semidirect
280. #2324C22semidirect
281. #2324C22semidirect
282. #2323C22semidirect
283. #2320C22semidirect
284. #2319C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×C22⋊Q8C22semidirect
295. #2285C22semidirect
296. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#592342
#592182
#590492
#590332
#573072
#562212
#560142
#539992
#531162
#530612
#530532
#529772
#450752
#450222
#428922
#427612
#427122
#426992
#425472
#425252
#397272
#397252
#394782
#393512
#389422
#389402
#378582
#376682
#374452
#372712
#361612
#361012
#352922
#349352
#346272