Finite Group Databasebeta

← #7657382

Subgroups — #7657382

Order 512.

5306 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42598C212yesmaximal, complemented
2#42595C212yesmaximal, complemented
3#42542C212yesmaximal, complemented
4#42533C212yesmaximal, complemented
5#41281C214yesmaximal, complemented
6#41268C214yesmaximal, complemented
7#41167C214yesmaximal, complemented
8#41142C214yesmaximal, complemented
9#39471C211yesmaximal, characteristic, complemented
10#39341C211yesmaximal, characteristic, complemented
11#39052C212yesmaximal, complemented
12#39044C212yesmaximal, complemented
13#38964C211yesmaximal, characteristic, complemented
14#38956C211yesmaximal, characteristic, complemented
15#37975C212yesmaximal, complemented
16#37780C212yesmaximal, complemented
17#37631C211yesmaximal, characteristic, complemented
18#37626C211yesmaximal, characteristic, complemented
19#37505C212yesmaximal, complemented
20#37501C212yesmaximal, complemented
21#36469C211yesmaximal, characteristic, complemented
22#36453C211yesmaximal, characteristic, complemented
23#36177C211yesmaximal, characteristic, complemented
24#36126C211yesmaximal, characteristic, complemented
25#35912C212yesmaximal, complemented
26#35885C212yesmaximal, complemented
27#35844C212yesmaximal, complemented
28#35715C212yesmaximal, complemented
29#35288C211yesmaximal, characteristic, complemented
30#35255C212yesmaximal, complemented
31#34619C211yesmaximal, characteristic, complemented
32#34609C212yesmaximal, complemented
33#34330C211yesmaximal, characteristic, complemented
34#34308C211yesmaximal, characteristic, complemented
35#34141C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#550C2211yescharacteristic
38C2×#547C2211yescharacteristic
39C2×#547C2212yes—
40C2×#537C2212yes—
41C2×#532C2211yescharacteristic
42C2×#532C2212yes—
43C2×#520C2212yes—
44C2×C4×#41C2212yes—
45#2859C2211yescharacteristic
46#2858C2211yescharacteristic
47#2857C2211yescharacteristic
48#2856C2211yescharacteristic
49#2855C2212yes—
50#2855C2212yes—
51#2854C2212yes—
52#2854C2212yes—
53#2838C2214yes—
54#2838C2214yes—
55#2837C2214yes—
56#2828C2214yes—
57#2825C2214yes—
58#2824C2214yes—
59#2795C2214yes—
60#2778C2214yes—
61#2763C2214yes—
62#2760C2214yes—
63#2760C2214yes—
64#2759C2214yes—
65#2753C2214yes—
66#2752C2214yes—
67#2749C2214yes—
68#2745C2214yes—
69#2743C2214yes—
70#2743C2214yes—
71#2720C2214yes—
72#2710C2214yes—
73#2703C2214yes—
74#2703C2214yes—
75#2703C2214yes—
76#2700C2214yes—
77#2699C2214yes—
78#2688C2214yes—
79#2688C2214yes—
80#2676C2214yes—
81#2676C2214yes—
82#2675C2214yes—
83#2663C2214yes—
84#2654C2212yes—
85#2653C2214yes—
86#2653C2212yes—
87#2652C2214yes—
88#2650C2214yes—
89#2650C2212yes—
90#2649C2212yes—
91#2648C2214yes—
92#2647C2211yescharacteristic
93#2645C2212yes—
94#2645C2211yescharacteristic
95#2644C2211yescharacteristic
96#2644C2212yes—
97#2643C2214yes—
98#2640C2211yescharacteristic
99#2640C2212yes—
100#2639C2214yes—
101#2635C2214yes—
102#2635C2214yes—
103#2635C2214yes—
104#2632C2214yes—
105#2631C2214yes—
106#2631C2214yes—
107#2630C2214yes—
108#2628C2212yes—
109#2628C2212yes—
110#2628C2211yescharacteristic
111#2625C2211yescharacteristic
112#2625C2212yes—
113#2624C2212yes—
114#2624C2211yescharacteristic
115#2624C2212yes—
116#2624C2212yes—
117#2620C2211yescharacteristic
118#2619C2212yes—
119#2619C2212yes—
120#2619C2212yes—
121#2615C2212yes—
122#2615C2212yes—
123#2610C2214yes—
124#2602C2214yes—
125#2602C2214yes—
126#2598C2214yes—
127#2592C2212yes—
128#2580C2212yes—
129#2578C2214yes—
130#2576C2214yes—
131#2576C2214yes—
132#2571C2211yescharacteristic
133#2568C2211yescharacteristic
134#2567C2212yes—
135#2564C2214yes—
136#2557C2214yes—
137#2557C2214yes—
138#2557C2214yes—
139#2551C2211yescharacteristic
140#2547C2211yescharacteristic
141#2544C2212yes—
142#2541C2212yes—
143#2541C2211yescharacteristic
144#2541C2211yescharacteristic
145#2540C2212yes—
146#2538C2211yescharacteristic
147#2537C2211yescharacteristic
148#2533C2214yes—
149#2527C2214yes—
150#2514C2212yes—
151#2514C2212yes—
152#2513C2212yes—
153#2509C2212yes—
154#2508C2212yes—
155#2504C2212yes—
156#2503C2212yes—
157#2494C2212yes—
158#2494C2212yes—
159#2494C2212yes—
160#2493C2214yes—
161#2493C2214yes—
162#2492C2212yes—
163#2492C2212yes—
164#2491C2212yes—
165#2491C2212yes—
166#2490C2212yes—
167#2487C2212yes—
168#2477C2214yes—
169#2471C2214yes—
170#2461C2214yes—
171#2460C2214yes—
172#2456C2214yes—
173#2456C2214yes—
174#2454C2212yes—
175#2452C2212yes—
176#2452C2212yes—
177#2452C2212yes—
178#2451C2212yes—
179#2450C2214yes—
180#2449C2214yes—
181#2448C2212yes—
182#2448C2212yes—
183#2447C2212yes—
184#2445C2212yes—
185#2444C2214yes—
186#2444C2214yes—
187#2443C2214yes—
188#2443C2214yes—
189#2443C2214yes—
190#2440C2212yes—
191#2439C2212yes—
192#2431C2212yes—
193#2431C2212yes—
194#2431C2212yes—
195#2431C2212yes—
196#2430C2214yes—
197#2430C2214yes—
198#2428C2212yes—
199#2428C2212yes—
200#2428C2212yes—
201#2428C2212yes—
202#2427C2212yes—
203#2427C2212yes—
204#2427C2212yes—
205#2427C2212yes—
206#2426C2212yes—
207#2423C2214yes—
208#2422C2214yes—
209#2422C2214yes—
210#2422C2212yes—
211#2421C2214yes—
212#2420C2212yes—
213#2420C2214yes—
214#2420C2212yes—
215#2420C2212yes—
216#2420C2212yes—
217#2416C2212yes—
218#2416C2212yes—
219#2414C2212yes—
220#2407C2212yes—
221#2407C2214yes—
222#2407C2212yes—
223#2401C2212yes—
224#2398C2214yes—
225#2398C2212yes—
226#2397C2214yes—
227#2396C2212yes—
228#2395C2212yes—
229#2388C2214yes—
230#2388C2214yes—
231#2367C2212yes—
232#2367C2212yes—
233#2367C2212yes—
234#2366C2211yescharacteristic
235#2366C2212yes—
236#2366C2211yescharacteristic
237#2366C2211yescharacteristic
238#2365C2211yescharacteristic
239#2365C2211yescharacteristic
240#2365C2211yescharacteristic
241#2364C2214yes—
242#2364C2212yes—
243#2364C2212yes—
244#2363C2212yes—
245#2361C2212yes—
246#2361C2212yes—
247#2361C2212yes—
248#2361C2211yescharacteristic
249#2361C2211yescharacteristic
250#2361C2211yescharacteristic
251#2361C2211yescharacteristic
252#2360C2212yes—
253#2360C2212yes—
254#2359C2214yes—
255#2357C2212yes—
256#2356C2212yes—
257#2355C2211yescharacteristic
258#2354C2211yescharacteristic
259D4×C4⋊C4C2211yescharacteristic
260D4×C4⋊C4C2211yescharacteristic
261#2345C2212yes—
262#2344C2212yes—
263#2339C2212yes—
264#2339C2212yes—
265#2333C2214yes—
266#2328C2212yes—
267#2324C2212yes—
268#2323C2212yes—
269#2322C2214yes—
270#2319C2212yes—
271#2317C2212yes—
272#2311C2212yes—
273#2311C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×#127C2211yescharacteristic
277C4×#124C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×#121C2212yes—
280C4×#121C2212yes—
281C4×#121C2211yescharacteristic
282C4×#121C2212yes—
283C4×#121C2212yes—
284#2297C2212yes—
285#2297C2212yes—
286#2295C2211yescharacteristic
287#2293C2211yescharacteristic
288#2293C2211yescharacteristic
289#2293C2211yescharacteristic
290C2×#389C2212yes—
291#2290C2212yes—
292#2290C2212yes—
293#2283C2212yes—
294#2275C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2314yes—
303#559—48no—
304#550—28no—
305#547—28no—
306#547—48no—
307#537—48no—
308#532—28no—
309#532—48no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×#127C2311yescharacteristic
316C2×#127C2312yes—
317C2×#127C2311yescharacteristic
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#125C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2314yes—
325C2×#124C2311yescharacteristic
326C2×#124C2314yes—
327C2×#124C2312yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2311yescharacteristic
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362#520—48no—
363C4×#41—48no—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2314yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2311yescharacteristic
404C2×#117C2314yes—
405C2×#117C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2314yes—
411C22×C4⋊C4C2311yescharacteristic
412C22×C42C2312yes—
413C22×C42C2311yescharacteristic
414C22×C42C2312yes—
415C22×C42C2312yes—
416#401C2314yes—
417#401C2314yes—
418#401C2314yes—
419#401C2312yes—
420#400C2312yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2312yes—
430#400C2312yes—
431#400C2314yes—
432#400C2314yes—
433#400C2312yes—
434#400C2312yes—
435#400C2312yes—
436#400C2312yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2312yes—
442#399C2314yes—
443#399C2312yes—
444#398C2312yes—
445#398C2314yes—
446#398C2312yes—
447#398C2314yes—
448#398C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2312yes—
467#397C2314yes—
468#397C2312yes—
469#397C2312yes—
470#397C2312yes—
471#397C2312yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2312yes—
478#396C2312yes—
479#396C2312yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2312yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2312yes—
503#394C2312yes—
504#394C2312yes—
505#394C2312yes—
506#394C2314yes—
507#394C2314yes—
508#393C2314yes—
509#393C2312yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2312yes—
518#393C2312yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#391C2312yes—
537#391C2312yes—
538#391C2311yescharacteristic
539#391C2312yes—
540#391C2314yes—
541#391C2314yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2311yescharacteristic
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2311yescharacteristic
552#391C2311yescharacteristic
553#391C2314yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2314yes—
560#390C2312yes—
561#390C2312yes—
562#390C2314yes—
563#390C2311yescharacteristic
564#390C2312yes—
565#390C2312yes—
566#390C2314yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2311yescharacteristic
575#390C2311yescharacteristic
576#390C2311yescharacteristic
577#390C2311yescharacteristic
578#390C2312yes—
579#390C2311yescharacteristic
580#390C2311yescharacteristic
581#390C2312yes—
582#390C2311yescharacteristic
583#390C2314yes—
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2314yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2314yes—
607#389C2314yes—
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#388C2312yes—
617#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2314yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2314yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2314yes—
646#388C2312yes—
647#388C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2312yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2312yes—
697#386C2312yes—
698#386C2312yes—
699#386C2314yes—
700#386C2312yes—
701#386C2312yes—
702#386C2314yes—
703#386C2314yes—
704#386C2312yes—
705#386C2314yes—
706#385C2312yes—
707#385C2314yes—
708#385C2312yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2312yes—
721#385C2312yes—
722#385C2314yes—
723#385C2312yes—
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2314yes—
728#383C2314yes—
729#383C2314yes—
730#382C2312yes—
731#382C2312yes—
732#382C2312yes—
733#382C2314yes—
734#382C2312yes—
735#382C2312yes—
736#382C2311yescharacteristic
737#381C2314yes—
738#381C2314yes—
739#381C2314yes—
740#381C2314yes—
741#381C2314yes—
742#381C2314yes—
743#381C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2311yescharacteristic
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2314yes—
751#380C2314yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810#376C2311yescharacteristic
811#376C2312yes—
812#376C2314yes—
813#376C2311yescharacteristic
814C2×#95C2314yes—
815C2×#95C2314yes—
816C2×#95C2312yes—
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—28no—
823C2×#41—44no—
824C2×#41—48no—
825C2×#41—48no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—84no—
831C22×Q8C2412yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×Q8C2414yes—
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2414yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C23×C4C2414yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2411yescharacteristic
870C23×C4C2414yes—
871C23×C4C2414yes—
872C23×C4C2412yes—
873C23×C4C2412yes—
874C4⋊Q8—24no—
875C4⋊Q8—24no—
876C4⋊Q8—42no—
877C4⋊Q8—44no—
878C4⋊Q8—44no—
879#127—24no—
880#127—28no—
881#127—24no—
882#127—44no—
883#127—44no—
884#125—82no—
885#124—28no—
886#124—48no—
887#124—48no—
888#124—42no—
889#124—44no—
890#124—44no—
891#124—44no—
892#123—216no—
893#123—48no—
894#123—48no—
895#123—48no—
896#123—48no—
897C22⋊Q8—24no—
898C22⋊Q8—28no—
899C22⋊Q8—48no—
900C22⋊Q8—48no—
901C22⋊Q8—44no—
902C22⋊Q8—44no—
903C22⋊Q8—84no—
904#121—24no—
905#121—28no—
906#121—28no—
907#121—24no—
908#121—28no—
909#121—24no—
910#121—28no—
911#121—216no—
912#121—48no—
913#121—48no—
914#121—48no—
915#121—44no—
916#121—44no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—48no—
923#121—84no—
924#121—84no—
925#121—82no—
926C4×Q8—28no—
927C4×Q8—24no—
928C4×Q8—44no—
929C4×Q8—44no—
930C4×Q8—44no—
931C4×Q8—44no—
932C4×D4—28no—
933C4×D4—28no—
934C4×D4—24no—
935C4×D4—28no—
936C4×D4—24no—
937C4×D4—24no—
938C4×D4—24no—
939C4×D4—48no—
940C4×D4—44no—
941C4×D4—42no—
942C4×D4—44no—
943C4×D4—42no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—48no—
950C4×D4—44no—
951C4×D4—48no—
952C4×D4—48no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—82no—
958C4×D4—84no—
959C4×D4—84no—
960C4×D4#4118yescomplemented
961#117—24no—
962#117—42no—
963#117—44no—
964#117—44no—
965#117—44no—
966#117—48no—
967#117—44no—
968C2×C4⋊C4—28no—
969C2×C4⋊C4—28no—
970C2×C4⋊C4—24no—
971C2×C4⋊C4—42no—
972C2×C4⋊C4—48no—
973C2×C4⋊C4—44no—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C42—28no—
1096C2×C42—24no—
1097C2×C42—44no—
1098C2×C42—44no—
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2412yes—
1103C2×C42C2414yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2414yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2411yescharacteristic
1153#95C2411yescharacteristic
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198C24C2512yes—
1199C24C2512yes—
1200C24C2514yes—
1201C24C2512yes—
1202C24C2511yescharacteristic
1203#41—432no—
1204#41—432no—
1205#41—816no—
1206#41—832no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—24no—
1210C2×Q8—24no—
1211C2×Q8—24no—
1212C2×Q8—22no—
1213C2×Q8—24no—
1214C2×Q8—22no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8—44no—
1218C2×Q8—44no—
1219C2×Q8—44no—
1220C2×Q8—42no—
1221C2×Q8—42no—
1222C2×D4—24no—
1223C2×D4—28no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—28no—
1230C2×D4—28no—
1231C2×D4—28no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—22no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—22no—
1249C2×D4—44no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—42no—
1273C2×D4—44no—
1274C2×D4—42no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4C2×#4114yes—
1282C22×C4—22no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—22no—
1286C22×C4—28no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—22no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—22no—
1295C22×C4—24no—
1296C22×C4—22no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—22no—
1300C22×C4—28no—
1301C22×C4—28no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—28no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4C2×#4118yes—
1335C22×C4H(5,𝔽2)14yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2514yes—
1347C22×C4C2512yes—
1348C22×C4C2514yes—
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2514yes—
1357C22×C4C2512yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C22×C4C2512yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2512yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—28no—
1369C4⋊C4—24no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—28no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—28no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—24no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—22no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—41no—
1397C4⋊C4—41no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—44no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—44no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—42no—
1415C4⋊C4—44no—
1416C4⋊C4—42no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—42no—
1420C4⋊C4C2×#4114yes—
1421C4⋊C4H(5,𝔽2)14yes—
1422C22⋊C4—24no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—28no—
1431C22⋊C4—24no—
1432C22⋊C4—28no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—28no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4C2×#4118yes—
1487C42—22no—
1488C42—22no—
1489C42—22no—
1490C42—24no—
1491C42—24no—
1492C42—24no—
1493C42—24no—
1494C42—24no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—28no—
1499C42—24no—
1500C42—24no—
1501C42—22no—
1502C42—22no—
1503C42—22no—
1504C42—22no—
1505C42—22no—
1506C42—42no—
1507C42—42no—
1508C42—42no—
1509C42—42no—
1510C42—41no—
1511C42—41no—
1512C42—44no—
1513C42—44no—
1514C42—41no—
1515C42—44no—
1516C42—41no—
1517C42C2×#4114yes—
1518C23—21no—
1519C23—22no—
1520C23—21no—
1521C23—22no—
1522C23—21no—
1523C23—21no—
1524C23—22no—
1525C23—22no—
1526C23—22no—
1527C23—21no—
1528C23—21no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—24no—
1533C23—24no—
1534C23—22no—
1535C23—24no—
1536C23—22no—
1537C23—22no—
1538C23—22no—
1539C23—24no—
1540C23—22no—
1541C23—22no—
1542C23—24no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—24no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—24no—
1551C23C22×#4114yes—
1552C23C2×H(5,𝔽2)12yes—
1553C23C2611yescharacteristic
1554Q8—48no—
1555Q8—48no—
1556Q8—44no—
1557Q8—84no—
1558Q8—88no—
1559D4—28no—
1560D4—48no—
1561D4—48no—
1562D4—48no—
1563D4—416no—
1564D4—48no—
1565D4—44no—
1566D4—48no—
1567D4—44no—
1568D4—48no—
1569D4—84no—
1570D4—84no—
1571D4—88no—
1572D4—88no—
1573D4—88no—
1574D4—88no—
1575D4—88no—
1576D4—88no—
1577D4—88no—
1578D4—164no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—216no—
1588C2×C4—28no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
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—24no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—24no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—24no—
1646C2×C4—21no—
1647C2×C4—24no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—48no—
1662C2×C4—416no—
1663C2×C4—44no—
1664C2×C4—48no—
1665C2×C4—48no—
1666C2×C4—82no—
1667C2×C4—84no—
1668C2×C4—84no—
1669C2×C4—88no—
1670C2×C4—88no—
1671C2×C4—88no—
1672C2×C4—84no—
1673C2×C4—84no—
1674C2×C4—84no—
1675C2×C4—164no—
1676C2×C4—164no—
1677C2×C4C22×#4112yes—
1678C2×C4C22×#4114yes—
1679C2×C4C22×#4112yes—
1680C2×C4C22×#4112yes—
1681C2×C4C2×H(5,𝔽2)12yes—
1682C2×C4C2×H(5,𝔽2)14yes—
1683C2×C4C2×H(5,𝔽2)12yes—
1684C2×C4C2×H(5,𝔽2)12yes—
1685C2×C4#58512yes—
1686C2×C4#58512yes—
1687C22—22no—
1688C22—24no—
1689C22—24no—
1690C22—22no—
1691C22—24no—
1692C22—22no—
1693C22—41no—
1694C22—42no—
1695C22—42no—
1696C22—41no—
1697C22—41no—
1698C22—42no—
1699C22—41no—
1700C22—42no—
1701C22—42no—
1702C22—44no—
1703C22—42no—
1704C22—44no—
1705C22—42no—
1706C22—42no—
1707C22—42no—
1708C22—44no—
1709C22—42no—
1710C22—42no—
1711C22—44no—
1712C22—42no—
1713C22—42no—
1714C22—42no—
1715C22—44no—
1716C22—42no—
1717C22—42no—
1718C22—44no—
1719C22—44no—
1720C22—42no—
1721C22—42no—
1722C22C23×#4111yescharacteristic
1723C22C22×H(5,𝔽2)11yescharacteristic
1724C22C22×H(5,𝔽2)11yescharacteristic
1725C22C2×#58511yescharacteristic
1726C22C2×#58511yescharacteristic
1727C22H(7,𝔽2)11yescharacteristic
1728C222−1+611yescharacteristic
1729C4—24no—
1730C4—22no—
1731C4—22no—
1732C4—24no—
1733C4—42no—
1734C4—42no—
1735C4—41no—
1736C4—42no—
1737C4—42no—
1738C4—41no—
1739C4—41no—
1740C4—42no—
1741C4—44no—
1742C4—42no—
1743C4—41no—
1744C4—42no—
1745C4—42no—
1746C4—41no—
1747C4—41no—
1748C4—42no—
1749C4—44no—
1750C4—41no—
1751C4—41no—
1752C4—42no—
1753C4—42no—
1754C4—41no—
1755C4—41no—
1756C4—44no—
1757C4#346014yes—
1758C4#351314yes—
1759C2—42no—
1760C2—44no—
1761C2—82no—
1762C2—84no—
1763C2—82no—
1764C2C2×#346011yescharacteristic
1765C2C2×#351311yescharacteristic
1766C2#6285711yescharacteristic
1767C2#6291211yescharacteristic
1768C2#6292211yescharacteristic
1769C2#6296011yescharacteristic
1770C2#6296911yescharacteristic
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. #42598C2semidirect
2. #42595C2semidirect
3. #42542C2semidirect
4. #42533C2semidirect
5. #41281C2semidirect
6. #41268C2semidirect
7. #41167C2semidirect
8. #41142C2semidirect
9. #39471C2semidirect
10. #39341C2semidirect
11. #39052C2semidirect
12. #39044C2semidirect
13. #38964C2semidirect
14. #38956C2semidirect
15. #37975C2semidirect
16. #37780C2semidirect
17. #37631C2semidirect
18. #37626C2semidirect
19. #37505C2semidirect
20. #37501C2semidirect
21. #36469C2semidirect
22. #36453C2semidirect
23. #36177C2semidirect
24. #36126C2semidirect
25. #35912C2semidirect
26. #35885C2semidirect
27. #35844C2semidirect
28. #35715C2semidirect
29. #35288C2semidirect
30. #35255C2semidirect
31. #34619C2semidirect
32. #34609C2semidirect
33. #34330C2semidirect
34. #34308C2semidirect
35. #34141C2semidirect
960. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#425982
#425952
#425422
#425332
#412812
#412682
#411672
#411422
#394712
#393412
#390522
#390442
#389642
#389562
#379752
#377802
#376312
#376262
#375052
#375012
#364692
#364532
#361772
#361262
#359122
#358852
#358442
#357152
#352882
#352552
#346192
#346092
#343302
#343082
#341412