Finite Group Databasebeta

← #8425239

Subgroups — #8425239

Order 512.

4790 conjugacy classes of subgroups.

The subgroup lattice has 1722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59828C211yesmaximal, characteristic, complemented
2#59630C212yesmaximal, complemented
3#59081C211yesmaximal, characteristic, complemented
4#59078C212yesmaximal, complemented
5#59064C211yesmaximal, characteristic, complemented
6#58015C214yesmaximal, complemented
7#57277C214yesmaximal, complemented
8#53126C212yesmaximal, complemented
9#53094C212yesmaximal, complemented
10#52964C212yesmaximal, complemented
11#52959C212yesmaximal, complemented
12#52503C214yesmaximal, complemented
13#42830C212yesmaximal, complemented
14#42795C212yesmaximal, complemented
15#42752C212yesmaximal, complemented
16#42618C212yesmaximal, complemented
17#41202C214yesmaximal, complemented
18#40077C212yesmaximal, complemented
19#39980C212yesmaximal, complemented
20#39690C212yesmaximal, complemented
21#39351C211yesmaximal, characteristic, complemented
22#39201C211yesmaximal, characteristic, complemented
23#39168C211yesmaximal, characteristic, complemented
24#39137C211yesmaximal, characteristic, complemented
25#37699C212yesmaximal, complemented
26#37633C211yesmaximal, characteristic, complemented
27#37631C211yesmaximal, characteristic, complemented
28#37524C212yesmaximal, complemented
29#37499C212yesmaximal, complemented
30#36564C211yesmaximal, characteristic, complemented
31#36456C211yesmaximal, characteristic, complemented
32#36150C211yesmaximal, characteristic, complemented
33#34937C211yesmaximal, characteristic, complemented
34#34772C211yesmaximal, characteristic, complemented
35#34724C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×Q82C2211yescharacteristic
38C2×#557C2212yes—
39C2×#542C2212yes—
40C2×#533C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C2×#532C2212yes—
43C2×#529C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2858C2211yescharacteristic
46#2857C2212yes—
47#2857C2212yes—
48#2857C2211yescharacteristic
49#2856C2211yescharacteristic
50#2838C2214yes—
51#2837C2214yes—
52#2836C2214yes—
53#2832C2214yes—
54#2830C2214yes—
55#2829C2214yes—
56#2827C2214yes—
57#2827C2214yes—
58#2827C2214yes—
59#2824C2214yes—
60#2820C2214yes—
61#2816C2214yes—
62#2814C2214yes—
63#2814C2214yes—
64#2807C2214yes—
65#2787C2214yes—
66#2786C2214yes—
67#2765C2214yes—
68#2751C2214yes—
69#2748C2214yes—
70#2744C2214yes—
71#2732C2214yes—
72#2732C2214yes—
73#2729C2214yes—
74#2726C2214yes—
75#2723C2214yes—
76#2712C2214yes—
77#2711C2214yes—
78#2711C2214yes—
79#2710C2214yes—
80#2710C2214yes—
81#2708C2214yes—
82#2707C2214yes—
83#2707C2214yes—
84#2705C2214yes—
85#2704C2214yes—
86#2704C2214yes—
87#2703C2214yes—
88#2700C2214yes—
89#2692C2214yes—
90#2692C2214yes—
91#2692C2214yes—
92#2691C2214yes—
93#2687C2214yes—
94#2682C2214yes—
95#2681C2214yes—
96#2681C2214yes—
97#2676C2214yes—
98#2674C2214yes—
99#2674C2214yes—
100#2672C2214yes—
101#2667C2214yes—
102#2664C2214yes—
103#2654C2214yes—
104#2654C2214yes—
105#2653C2214yes—
106#2653C2214yes—
107#2652C2214yes—
108#2650C2214yes—
109#2648C2214yes—
110#2645C2212yes—
111#2640C2212yes—
112#2640C2212yes—
113#2637C2214yes—
114#2637C2214yes—
115#2629C2212yes—
116#2629C2212yes—
117#2628C2212yes—
118#2625C2212yes—
119#2624C2212yes—
120#2624C2212yes—
121#2621C2212yes—
122#2620C2212yes—
123#2620C2212yes—
124#2607C2214yes—
125#2596C2214yes—
126#2595C2214yes—
127#2592C2214yes—
128#2589C2214yes—
129#2586C2214yes—
130#2582C2212yes—
131#2580C2212yes—
132#2568C2211yescharacteristic
133#2567C2211yescharacteristic
134#2565C2212yes—
135#2563C2211yescharacteristic
136#2563C2212yes—
137#2552C2212yes—
138#2551C2211yescharacteristic
139#2550C2212yes—
140#2549C2214yes—
141#2549C2214yes—
142#2548C2211yescharacteristic
143#2548C2212yes—
144#2548C2212yes—
145#2547C2211yescharacteristic
146#2547C2212yes—
147#2546C2211yescharacteristic
148#2546C2211yescharacteristic
149#2545C2212yes—
150#2545C2212yes—
151#2545C2212yes—
152#2544C2212yes—
153#2543C2214yes—
154#2542C2212yes—
155#2542C2212yes—
156#2541C2211yescharacteristic
157#2540C2212yes—
158#2540C2212yes—
159#2538C2212yes—
160#2538C2211yescharacteristic
161#2537C2212yes—
162#2522C2212yes—
163#2520C2212yes—
164#2513C2212yes—
165#2512C2212yes—
166#2511C2211yescharacteristic
167#2507C2211yescharacteristic
168#2507C2212yes—
169#2507C2212yes—
170#2506C2212yes—
171#2506C2212yes—
172#2505C2212yes—
173#2502C2211yescharacteristic
174#2497C2211yescharacteristic
175#2494C2212yes—
176#2492C2212yes—
177#2492C2211yescharacteristic
178#2492C2212yes—
179#2491C2212yes—
180#2491C2212yes—
181#2490C2214yes—
182#2490C2212yes—
183#2487C2211yescharacteristic
184#2485C2212yes—
185#2485C2212yes—
186#2478C2212yes—
187#2470C2212yes—
188#2466C2214yes—
189#2466C2212yes—
190#2460C2214yes—
191#2460C2214yes—
192#2459C2214yes—
193#2455C2212yes—
194#2454C2214yes—
195#2454C2212yes—
196#2454C2212yes—
197#2453C2211yescharacteristic
198#2453C2212yes—
199#2453C2214yes—
200#2452C2212yes—
201#2452C2212yes—
202#2452C2212yes—
203#2452C2212yes—
204#2452C2214yes—
205#2451C2212yes—
206#2451C2212yes—
207#2451C2212yes—
208#2450C2214yes—
209#2450C2212yes—
210#2448C2212yes—
211#2448C2212yes—
212#2448C2212yes—
213#2448C2212yes—
214#2448C2212yes—
215#2447C2212yes—
216#2447C2211yescharacteristic
217#2447C2212yes—
218#2446C2212yes—
219#2446C2212yes—
220#2446C2214yes—
221#2445C2212yes—
222#2441C2211yescharacteristic
223#2440C2212yes—
224#2440C2211yescharacteristic
225#2439C2214yes—
226#2439C2212yes—
227#2439C2212yes—
228#2432C2212yes—
229#2432C2211yescharacteristic
230#2429C2211yescharacteristic
231#2429C2212yes—
232#2428C2212yes—
233#2427C2212yes—
234#2427C2212yes—
235#2426C2212yes—
236#2426C2212yes—
237#2426C2212yes—
238#2426C2214yes—
239#2425C2214yes—
240#2422C2212yes—
241#2422C2212yes—
242#2422C2211yescharacteristic
243#2420C2212yes—
244#2419C2214yes—
245#2417C2211yescharacteristic
246#2416C2212yes—
247#2416C2212yes—
248#2415C2211yescharacteristic
249#2414C2212yes—
250#2407C2212yes—
251#2407C2211yescharacteristic
252#2402C2212yes—
253#2396C2212yes—
254#2395C2212yes—
255#2392C2212yes—
256#2392C2214yes—
257#2369C2212yes—
258#2369C2211yescharacteristic
259#2367C2212yes—
260#2367C2214yes—
261#2366C2211yescharacteristic
262#2365C2212yes—
263#2365C2212yes—
264#2363C2212yes—
265#2362C2212yes—
266#2351C2212yes—
267Q8×C4⋊C4C2211yescharacteristic
268Q8×C4⋊C4C2211yescharacteristic
269#2349C2212yes—
270#2345C2212yes—
271#2341C2212yes—
272#2341C2212yes—
273#2339C2212yes—
274#2329C2214yes—
275#2326C2212yes—
276#2324C2212yes—
277#2324C2212yes—
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×#123C2212yes—
289C4×#121C2212yes—
290C4×#121C2212yes—
291#2297C2212yes—
292#2296C2212yes—
293#2295C2211yescharacteristic
294#2293C2211yescharacteristic
295#2290C2212yes—
296#2285C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301#559—44no—
302Q82—44no—
303#557—48no—
304#542—48no—
305#533—44no—
306#532—44no—
307#532—48no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2314yes—
319C2×#127C2311yescharacteristic
320C2×#127C2312yes—
321#529—44no—
322C2×#126C2312yes—
323C2×#126C2314yes—
324C2×#125C2314yes—
325C2×#125C2311yescharacteristic
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#125C2314yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2314yes—
335C2×#124C2312yes—
336C2×#124C2311yescharacteristic
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#123C2312yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2312yes—
343C2×#123C2314yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2314yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2311yescharacteristic
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2312yes—
371C4×#41—44no—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2314yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2311yescharacteristic
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2311yescharacteristic
407C22×C4⋊C4C2311yescharacteristic
408C22×C4⋊C4C2311yescharacteristic
409C22×C42C2311yescharacteristic
410C22×C42C2311yescharacteristic
411C22×C42C2312yes—
412C22×C42C2312yes—
413#401C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#400C2312yes—
420#400C2314yes—
421#400C2312yes—
422#400C2312yes—
423#400C2312yes—
424#400C2314yes—
425#400C2314yes—
426#400C2312yes—
427#399C2312yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2312yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2312yes—
449#398C2314yes—
450#398C2312yes—
451#398C2314yes—
452#398C2314yes—
453#398C2312yes—
454#398C2314yes—
455#398C2314yes—
456#398C2312yes—
457#398C2314yes—
458#398C2312yes—
459#398C2312yes—
460#398C2312yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2312yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2312yes—
475#397C2314yes—
476#397C2314yes—
477#397C2312yes—
478#397C2312yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#396C2312yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2312yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2312yes—
501#396C2312yes—
502#395C2314yes—
503#395C2314yes—
504#395C2314yes—
505#395C2314yes—
506#395C2314yes—
507#395C2312yes—
508#394C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
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#394C2312yes—
532#393C2314yes—
533#393C2314yes—
534#393C2314yes—
535#393C2314yes—
536#393C2314yes—
537#393C2314yes—
538#393C2314yes—
539#393C2314yes—
540#393C2314yes—
541#393C2314yes—
542#393C2312yes—
543#392C2314yes—
544#392C2314yes—
545#392C2312yes—
546#392C2314yes—
547#391C2311yescharacteristic
548#391C2311yescharacteristic
549#391C2312yes—
550#391C2312yes—
551#391C2312yes—
552#391C2312yes—
553#391C2312yes—
554#391C2312yes—
555#391C2312yes—
556#391C2312yes—
557#391C2314yes—
558#391C2314yes—
559#391C2312yes—
560#391C2314yes—
561#391C2312yes—
562#391C2314yes—
563#391C2314yes—
564#391C2314yes—
565#391C2314yes—
566#391C2314yes—
567#391C2312yes—
568#391C2311yescharacteristic
569#391C2311yescharacteristic
570#391C2311yescharacteristic
571#391C2311yescharacteristic
572#391C2311yescharacteristic
573#391C2311yescharacteristic
574#390C2312yes—
575#390C2314yes—
576#390C2314yes—
577#390C2314yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2314yes—
584#390C2314yes—
585#390C2312yes—
586#390C2312yes—
587#390C2314yes—
588#390C2314yes—
589#390C2314yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2314yes—
595#390C2312yes—
596#390C2311yescharacteristic
597#390C2312yes—
598#390C2312yes—
599#390C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#389C2312yes—
612#389C2314yes—
613#389C2314yes—
614#389C2312yes—
615#389C2312yes—
616#389C2314yes—
617#389C2314yes—
618#389C2312yes—
619#389C2314yes—
620#389C2312yes—
621#389C2311yescharacteristic
622#389C2312yes—
623#389C2312yes—
624#389C2314yes—
625#389C2312yes—
626#389C2314yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2314yes—
631#389C2312yes—
632#389C2312yes—
633#389C2311yescharacteristic
634#389C2311yescharacteristic
635#389C2312yes—
636#389C2312yes—
637#389C2314yes—
638#389C2312yes—
639#389C2312yes—
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2312yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2312yes—
654#388C2312yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2312yes—
659#388C2312yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2312yes—
665#388C2314yes—
666#388C2312yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2314yes—
680#387C2312yes—
681#387C2314yes—
682#387C2312yes—
683#387C2314yes—
684#387C2314yes—
685#387C2312yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2312yes—
690#387C2312yes—
691#387C2314yes—
692#387C2312yes—
693#387C2312yes—
694#387C2312yes—
695#387C2312yes—
696#386C2312yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2312yes—
706#386C2314yes—
707#386C2312yes—
708#386C2314yes—
709#385C2314yes—
710#385C2312yes—
711#385C2312yes—
712#385C2312yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#385C2312yes—
726#385C2312yes—
727#385C2312yes—
728#385C2312yes—
729#385C2312yes—
730#385C2312yes—
731#385C2312yes—
732#385C2312yes—
733#385C2312yes—
734#384C2311yescharacteristic
735#384C2311yescharacteristic
736#384C2311yescharacteristic
737#384C2312yes—
738#384C2312yes—
739#384C2312yes—
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#382C2314yes—
743#382C2312yes—
744#382C2312yes—
745#382C2312yes—
746#381C2314yes—
747#381C2314yes—
748#381C2312yes—
749#380C2312yes—
750#380C2311yescharacteristic
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2314yes—
758#380C2314yes—
759#380C2314yes—
760#380C2314yes—
761#380C2311yescharacteristic
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2311yescharacteristic
766#380C2312yes—
767#380C2314yes—
768#380C2311yescharacteristic
769#380C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815#376C2312yes—
816C2×#95C2314yes—
817C2×#95C2312yes—
818C43C2311yescharacteristic
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—28no—
822C2×#41—42no—
823C2×#41—44no—
824C2×#41—44no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2411yescharacteristic
830C22×Q8C2412yes—
831C22×Q8C2414yes—
832C22×Q8C2414yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2414yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2412yes—
858C4⋊Q8—28no—
859C4⋊Q8—24no—
860C4⋊Q8—24no—
861C4⋊Q8—24no—
862C4⋊Q8—24no—
863C4⋊Q8—44no—
864C4⋊Q8—44no—
865C4⋊Q8—44no—
866C4⋊Q8—44no—
867C4⋊Q8—44no—
868C4⋊Q8—48no—
869#127—24no—
870#127—44no—
871#126—44no—
872#126—48no—
873#125—42no—
874#125—44no—
875#125—48no—
876#125—48no—
877#125—48no—
878#124—28no—
879#124—44no—
880#124—48no—
881#124—42no—
882#124—44no—
883#124—44no—
884#124—44no—
885#124—44no—
886#124—48no—
887#124—82no—
888#123—44no—
889#123—48no—
890#123—44no—
891#123—48no—
892#123—84no—
893C22⋊Q8—24no—
894C22⋊Q8—24no—
895C22⋊Q8—24no—
896C22⋊Q8—48no—
897C22⋊Q8—48no—
898C22⋊Q8—44no—
899C22⋊Q8—42no—
900C22⋊Q8—44no—
901C22⋊Q8—42no—
902C22⋊Q8—44no—
903C22⋊Q8—44no—
904C22⋊Q8—84no—
905C22⋊Q8—84no—
906C22⋊Q8—82no—
907C22⋊Q8—84no—
908C22⋊Q8—84no—
909#121—28no—
910#121—48no—
911#121—48no—
912#121—44no—
913#121—44no—
914#121—42no—
915#121—44no—
916#121—44no—
917#121—44no—
918#121—84no—
919#121—82no—
920C4×Q8—28no—
921C4×Q8—24no—
922C4×Q8—24no—
923C4×Q8—24no—
924C4×Q8—44no—
925C4×Q8—48no—
926C4×Q8—42no—
927C4×Q8—44no—
928C4×Q8—44no—
929C4×Q8—44no—
930C4×Q8—44no—
931C4×Q8—44no—
932C4×Q8—44no—
933C4×D4—24no—
934C4×D4—24no—
935C4×D4—42no—
936C4×D4—44no—
937C4×D4—42no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—42no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—48no—
948C4×D4—48no—
949#117—44no—
950#117—44no—
951#117—44no—
952#117—44no—
953#117—42no—
954#117—44no—
955C2×C4⋊C4—24no—
956C2×C4⋊C4—42no—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
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×C42—24no—
1090C2×C42—24no—
1091C2×C42—44no—
1092C2×C42—44no—
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2414yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2414yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2414yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2414yes—
1122C2×C42C2411yescharacteristic
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2411yescharacteristic
1136#95C2412yes—
1137#95C2411yescharacteristic
1138#95C2414yes—
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191C24C2511yescharacteristic
1192C24C2514yes—
1193C24C2512yes—
1194C24C2511yescharacteristic
1195#41—416no—
1196#41—816no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—24no—
1202C2×Q8—24no—
1203C2×Q8—24no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—24no—
1208C2×Q8—24no—
1209C2×Q8—22no—
1210C2×Q8—24no—
1211C2×Q8—42no—
1212C2×Q8—42no—
1213C2×Q8—42no—
1214C2×Q8—44no—
1215C2×Q8—44no—
1216C2×Q8—44no—
1217C2×Q8—44no—
1218C2×Q8—44no—
1219C2×Q8—44no—
1220C2×Q8H(5,𝔽2)14yes—
1221C2×D4—22no—
1222C2×D4—24no—
1223C2×D4—28no—
1224C2×D4—22no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—22no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—24no—
1234C2×D4—28no—
1235C2×D4—24no—
1236C2×D4—42no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—42no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—42no—
1246C2×D4—44no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—24no—
1260C22×C4—22no—
1261C22×C4—24no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—24no—
1265C22×C4—22no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—28no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—42no—
1285C22×C4—41no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C42−1+414yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2514yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2514yes—
1315C22×C4C2514yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2512yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—28no—
1337C4⋊C4—28no—
1338C4⋊C4—24no—
1339C4⋊C4—28no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—41no—
1369C4⋊C4—41no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—44no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4—42no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C42−1+414yes—
1403C22⋊C4—22no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—28no—
1407C22⋊C4—28no—
1408C22⋊C4—24no—
1409C22⋊C4—22no—
1410C22⋊C4—28no—
1411C22⋊C4—24no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—28no—
1415C22⋊C4—24no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C42—22no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—22no—
1465C42—24no—
1466C42—24no—
1467C42—24no—
1468C42—24no—
1469C42—24no—
1470C42—24no—
1471C42—28no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—22no—
1476C42—24no—
1477C42—22no—
1478C42—42no—
1479C42—42no—
1480C42—42no—
1481C42—42no—
1482C42—44no—
1483C42—44no—
1484C42—44no—
1485C42—44no—
1486C42—44no—
1487C42—41no—
1488C42H(5,𝔽2)14yes—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—24no—
1497C23—22no—
1498C23—21no—
1499C23—24no—
1500C23—22no—
1501C23—21no—
1502C23—21no—
1503C23—24no—
1504C23—22no—
1505C23—24no—
1506C23—22no—
1507C23—24no—
1508C23—22no—
1509C23—21no—
1510C23—22no—
1511C23—24no—
1512C23—21no—
1513C23—22no—
1514C23—24no—
1515C23—21no—
1516C23C2×2−1+412yes—
1517C23C2611yescharacteristic
1518Q8—28no—
1519Q8—48no—
1520Q8—44no—
1521Q8—48no—
1522Q8—44no—
1523Q8—84no—
1524Q8—164no—
1525Q8—164no—
1526D4—48no—
1527D4—44no—
1528D4—44no—
1529D4—48no—
1530D4—48no—
1531D4—88no—
1532D4—84no—
1533D4—88no—
1534D4—88no—
1535D4—84no—
1536D4—164no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—28no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—24no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—24no—
1611C2×C4—24no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—48no—
1621C2×C4—44no—
1622C2×C4—44no—
1623C2×C4—44no—
1624C2×C4—48no—
1625C2×C4—84no—
1626C2×C4—82no—
1627C2×C4—82no—
1628C2×C4—88no—
1629C2×C4—84no—
1630C2×C4—84no—
1631C2×C4—164no—
1632C2×C4—164no—
1633C2×C4C2×H(5,𝔽2)12yes—
1634C2×C4C2×H(5,𝔽2)14yes—
1635C2×C4C2×H(5,𝔽2)12yes—
1636C2×C4C2×H(5,𝔽2)12yes—
1637C2×C4C2×H(5,𝔽2)12yes—
1638C2×C4C2×2−1+414yes—
1639C2×C4C2×2−1+412yes—
1640C2×C4C2×2−1+412yes—
1641C2×C4C2×2−1+412yes—
1642C2×C4#58512yes—
1643C2×C4#58512yes—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—42no—
1652C22—41no—
1653C22—44no—
1654C22—42no—
1655C22—41no—
1656C22—44no—
1657C22—42no—
1658C22—44no—
1659C22—41no—
1660C22—41no—
1661C22—44no—
1662C22—42no—
1663C22—44no—
1664C22—42no—
1665C22—41no—
1666C22—41no—
1667C22—44no—
1668C22—42no—
1669C22—41no—
1670C22—42no—
1671C22—44no—
1672C22C22×H(5,𝔽2)11yescharacteristic
1673C22C22×H(5,𝔽2)11yescharacteristic
1674C22C22×2−1+411yescharacteristic
1675C22C22×2−1+411yescharacteristic
1676C22C2×#58511yescharacteristic
1677C22C2×#58511yescharacteristic
1678C22H(7,𝔽2)11yescharacteristic
1679C4—22no—
1680C4—24no—
1681C4—24no—
1682C4—22no—
1683C4—22no—
1684C4—41no—
1685C4—44no—
1686C4—42no—
1687C4—41no—
1688C4—41no—
1689C4—42no—
1690C4—42no—
1691C4—42no—
1692C4—42no—
1693C4—42no—
1694C4—41no—
1695C4—41no—
1696C4—42no—
1697C4—42no—
1698C4—42no—
1699C4—42no—
1700C4—44no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—42no—
1705C4—42no—
1706C4—42no—
1707C4—44no—
1708C4#353614yes—
1709C4#355414yes—
1710C2—42no—
1711C2—82no—
1712C2—81no—
1713C2—84no—
1714C2C2×#353611yescharacteristic
1715C2C2×#355411yescharacteristic
1716C2#6276111yescharacteristic
1717C2#6292311yescharacteristic
1718C2#6294311yescharacteristic
1719C2#6295511yescharacteristic
1720C2#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. #59828C2semidirect
2. #59630C2semidirect
3. #59081C2semidirect
4. #59078C2semidirect
5. #59064C2semidirect
6. #58015C2semidirect
7. #57277C2semidirect
8. #53126C2semidirect
9. #53094C2semidirect
10. #52964C2semidirect
11. #52959C2semidirect
12. #52503C2semidirect
13. #42830C2semidirect
14. #42795C2semidirect
15. #42752C2semidirect
16. #42618C2semidirect
17. #41202C2semidirect
18. #40077C2semidirect
19. #39980C2semidirect
20. #39690C2semidirect
21. #39351C2semidirect
22. #39201C2semidirect
23. #39168C2semidirect
24. #39137C2semidirect
25. #37699C2semidirect
26. #37633C2semidirect
27. #37631C2semidirect
28. #37524C2semidirect
29. #37499C2semidirect
30. #36564C2semidirect
31. #36456C2semidirect
32. #36150C2semidirect
33. #34937C2semidirect
34. #34772C2semidirect
35. #34724C2semidirect

Maximal subgroups

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

subgroupindex
#598282
#596302
#590812
#590782
#590642
#580152
#572772
#531262
#530942
#529642
#529592
#525032
#428302
#427952
#427522
#426182
#412022
#400772
#399802
#396902
#393512
#392012
#391682
#391372
#376992
#376332
#376312
#375242
#374992
#365642
#364562
#361502
#349372
#347722
#347242