Finite Group Databasebeta

← #7644404

Subgroups — #7644404

Order 512.

4606 conjugacy classes of subgroups.

The subgroup lattice has 1695 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42948C212yesmaximal, complemented
2#42924C212yesmaximal, complemented
3#42922C212yesmaximal, complemented
4#42921C212yesmaximal, complemented
5#42656C212yesmaximal, complemented
6#42655C212yesmaximal, complemented
7#42452C212yesmaximal, complemented
8#42451C212yesmaximal, complemented
9#42159C214yesmaximal, complemented
10#41965C214yesmaximal, complemented
11#40559C214yesmaximal, complemented
12#40558C214yesmaximal, complemented
13#37526C212yesmaximal, complemented
14#37524C212yesmaximal, complemented
15#37522C212yesmaximal, complemented
16#37521C212yesmaximal, complemented
17#37430C212yesmaximal, complemented
18#37394C212yesmaximal, complemented
19#37326C212yesmaximal, complemented
20#37323C212yesmaximal, complemented
21#35673C211yesmaximal, characteristic, complemented
22#35668C211yesmaximal, characteristic, complemented
23#35630C211yesmaximal, characteristic, complemented
24#35619C211yesmaximal, characteristic, complemented
25#35585C211yesmaximal, characteristic, complemented
26#35575C211yesmaximal, characteristic, complemented
27#35545C211yesmaximal, characteristic, complemented
28#35543C211yesmaximal, characteristic, complemented
29#35306C211yesmaximal, characteristic
30#35253C211yesmaximal, characteristic, complemented
31#34635C211yesmaximal, characteristic
32C2×#2625C211yesmaximal, characteristic, complemented
33#34203C211yesmaximal, characteristic, complemented
34#34202C211yesmaximal, characteristic
35#34052C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#519C2211yescharacteristic
42C22×#117C2211yescharacteristic
43C22×#117C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2857C2212yes—
46#2857C2212yes—
47#2851C2212yes—
48#2850C2212yes—
49#2839C2214yescomplemented
50#2839C2214yescomplemented
51#2838C2214yescomplemented
52#2836C2214yescomplemented
53#2835C2214yes—
54#2834C2214yes—
55#2827C2214yes—
56#2827C2214yes—
57#2810C2214yescomplemented
58#2809C2214yescomplemented
59#2807C2214yescomplemented
60#2805C2214yescomplemented
61#2802C2214yescomplemented
62#2802C2214yescomplemented
63#2798C2214yescomplemented
64#2796C2214yes—
65#2787C2214yes—
66#2787C2214yes—
67#2787C2214yescomplemented
68#2786C2214yes—
69#2783C2214yescomplemented
70#2782C2214yes—
71#2777C2214yescomplemented
72#2776C2214yescomplemented
73#2776C2214yescomplemented
74#2773C2214yescomplemented
75#2771C2214yescomplemented
76#2770C2214yes—
77#2770C2214yes—
78#2757C2214yes—
79#2750C2214yes—
80#2747C2214yes—
81#2747C2214yes—
82#2746C2214yes—
83#2728C2214yes—
84#2726C2214yescomplemented
85#2723C2214yes—
86#2690C2214yes—
87#2690C2214yes—
88#2689C2214yescomplemented
89#2667C2214yescomplemented
90#2666C2214yescomplemented
91#2666C2214yescomplemented
92#2664C2214yescomplemented
93#2655C2214yescomplemented
94#2655C2214yescomplemented
95#2654C2214yescomplemented
96#2653C2214yes—
97#2652C2214yes—
98#2652C2214yes—
99#2652C2214yes—
100#2652C2214yes—
101#2652C2214yescomplemented
102#2649C2214yes—
103#2638C2214yes—
104#2633C2214yes—
105#2629C2212yes—
106#2628C2212yes—
107#2625C2211yescharacteristic
108#2625C2212yes—
109#2625C2212yes—
110#2625C2212yes—
111#2625C2212yes—
112#2625C2212yes—
113#2625C2212yes—
114#2625C2212yes—
115#2625C2212yes—
116#2625C2211yescharacteristic
117#2625C2211yescharacteristic
118#2625C2211yescharacteristic
119#2624C2211yescharacteristic
120#2624C2211yescharacteristic
121#2624C2211yescharacteristic
122#2624C2211yescharacteristic
123#2623C2212yes—
124#2623C2212yes—
125#2622C2212yes—
126#2622C2212yes—
127#2621C2212yes—
128#2620C2212yes—
129#2585C2214yescomplemented
130#2585C2214yescomplemented
131#2573C2214yescomplemented
132#2571C2212yescomplemented
133#2570C2212yescomplemented
134#2570C2212yescomplemented
135#2569C2214yes—
136#2568C2212yescomplemented
137#2567C2212yescomplemented
138#2565C2212yescomplemented
139#2565C2212yescomplemented
140#2564C2214yes—
141#2556C2214yescomplemented
142#2552C2212yescomplemented
143#2523C2214yes—
144#2517C2214yes—
145#2514C2212yescomplemented
146#2514C2212yescomplemented
147#2514C2212yescomplemented
148#2514C2212yescomplemented
149#2514C2212yescomplemented
150#2513C2212yescomplemented
151#2512C2212yescomplemented
152#2511C2212yescomplemented
153#2511C2212yescomplemented
154#2511C2212yescomplemented
155#2511C2212yescomplemented
156#2511C2212yescomplemented
157#2510C2214yes—
158#2509C2212yescomplemented
159#2509C2212yescomplemented
160#2509C2212yescomplemented
161#2508C2212yescomplemented
162#2508C2212yescomplemented
163#2508C2212yescomplemented
164#2507C2212yescomplemented
165#2507C2212yescomplemented
166#2507C2212yescomplemented
167#2506C2212yescomplemented
168#2506C2212yescomplemented
169#2506C2212yescomplemented
170#2505C2214yes—
171#2503C2212yescomplemented
172#2502C2212yescomplemented
173#2499C2212yescomplemented
174#2499C2212yescomplemented
175#2498C2214yes—
176#2498C2214yes—
177#2497C2212yescomplemented
178#2496C2212yescomplemented
179#2495C2212yescomplemented
180#2494C2212yescomplemented
181#2493C2214yes—
182#2493C2214yes—
183#2481C2214yes—
184#2473C2214yes—
185#2466C2214yes—
186#2460C2214yes—
187#2454C2212yescomplemented
188#2453C2212yescomplemented
189#2453C2212yescomplemented
190#2453C2212yescomplemented
191#2452C2212yescomplemented
192#2451C2212yescomplemented
193#2451C2212yescomplemented
194#2451C2212yescomplemented
195#2448C2212yescomplemented
196#2448C2212yescomplemented
197#2447C2212yescomplemented
198#2447C2212yescomplemented
199#2446C2212yescomplemented
200#2446C2212yescomplemented
201#2446C2212yescomplemented
202#2446C2212yescomplemented
203#2442C2214yes—
204#2442C2212yes—
205#2442C2212yescomplemented
206#2441C2212yes—
207#2441C2212yescomplemented
208#2440C2212yes—
209#2440C2212yescomplemented
210#2439C2212yes—
211#2439C2212yescomplemented
212#2438C2214yes—
213#2438C2214yes—
214#2438C2214yes—
215#2437C2214yes—
216#2423C2212yescomplemented
217#2423C2212yescomplemented
218#2421C2212yescomplemented
219#2421C2212yescomplemented
220#2419C2214yes—
221#2419C2214yes—
222#2417C2214yes—
223#2417C2212yes—
224#2417C2212yes—
225#2415C2212yes—
226#2415C2212yes—
227#2413C2214yes—
228#2412C2214yes—
229#2395C2212yes—
230#2395C2212yes—
231#2395C2212yes—
232#2395C2212yes—
233C2×#400C2212yes—
234C2×#398C2212yes—
235C2×#397C2212yes—
236C2×#397C2212yes—
237#2362C2212yes—
238#2362C2212yes—
239#2360C2212yes—
240#2360C2212yes—
241#2359C2214yes—
242#2358C2214yes—
243#2354C2212yes—
244#2352C2212yes—
245#2352C2212yes—
246D4×C4⋊C4C2212yes—
247#2344C2214yes—
248#2342C2214yes—
249#2324C2212yes—
250#2323C2212yes—
251#2323C2212yes—
252#2323C2212yes—
253#2317C2211yescharacteristic
254#2317C2211yescharacteristic
255#2317C2211yescharacteristic
256#2317C2211yescharacteristic
257#2317C2211yescharacteristic
258#2317C2211yescharacteristic
259#2317C2211yescharacteristic
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2316C2211yescharacteristic
266#2316C2211yescharacteristic
267#2316C2212yes—
268#2316C2212yes—
269#2315C2212yes—
270#2315C2212yes—
271#2311C2211yescharacteristic
272#2311C2211yescharacteristic
273#2310C2211yescharacteristic
274#2310C2211yescharacteristic
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×#121C2212yes—
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2212yes—
283#2296C2212yes—
284#2296C2212yes—
285#2296C2212yes—
286#2296C2211yescharacteristic
287C2×#391C2211yescharacteristic
288C2×#391C2211yescharacteristic
289C2×#389C2211yescharacteristic
290C2×#389C2211yescharacteristic
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295#2280C2211yescharacteristic
296C2×#380C2211yescharacteristic
297#2274C2211yescharacteristic
298#2274C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C24×C4C2311yescharacteristic
302#544—44no—
303#536—44no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#126C2314yes—
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#125C2314yes—
311C2×#125C2314yes—
312C2×#124C2312yes—
313#525—28no—
314C2×#123C2312yes—
315C2×#123C2314yes—
316C2×C22⋊Q8—28no—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×#121C2311yescharacteristic
329C2×#121C2311yescharacteristic
330C2×#120C2312yes—
331#520—44no—
332#519—44no—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2314yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2314yes—
343C2×#117—28no—
344C2×#117—44no—
345C2×#117—44no—
346C2×#117C2311yescharacteristic
347C2×#117C2311yescharacteristic
348C2×#117C2311yescharacteristic
349C2×#117C2311yescharacteristic
350C2×#117C2311yescharacteristic
351C2×#117C2311yescharacteristic
352C2×#117C2311yescharacteristic
353C2×#117C2311yescharacteristic
354C2×#117C2311yescharacteristic
355C2×#117C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2312yes—
368C2×#117C2314yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C22⋊C4C2311yescharacteristic
385C22×C22⋊C4C2311yescharacteristic
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2312yes—
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392C22×C42C2312yes—
393C22×C42C2312yes—
394#401C2314yes—
395#401C2314yes—
396#401C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2312yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2312yes—
425#400C2312yes—
426#400C2312yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2312yes—
434#399C2314yes—
435#399C2312yes—
436#399C2312yes—
437#399C2312yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2312yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2312yes—
463#398C2312yes—
464#398C2312yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2312yes—
475#397C2312yes—
476#397C2314yes—
477#397C2312yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2312yes—
485#397C2312yes—
486#397C2312yes—
487#397C2312yes—
488#397C2312yes—
489#397C2312yes—
490#397C2312yes—
491#397C2312yes—
492#397C2312yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#395C2314yes—
507#395C2314yes—
508#395C2314yes—
509#395C2314yes—
510#394C2312yes—
511#394C2312yes—
512#394C2314yes—
513#394C2314yes—
514#394C2312yes—
515#394C2312yes—
516#394C2312yes—
517#394C2312yes—
518#394C2312yes—
519#394C2312yes—
520#393C2314yes—
521#393C2314yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2314yes—
535#391C2314yes—
536#391C2314yes—
537#391C2312yes—
538#391C2312yes—
539#391C2311yescharacteristic
540#391C2311yescharacteristic
541#391C2311yescharacteristic
542#391C2311yescharacteristic
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2314yes—
548#390C2312yes—
549#390C2312yes—
550#390C2314yes—
551#390C2311yescharacteristic
552#390C2311yescharacteristic
553#390C2311yescharacteristic
554#390C2311yescharacteristic
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#386C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2312yes—
681#386C2312yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2314yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2312yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2312yes—
701#385C2312yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2312yes—
712#385C2312yes—
713#385C2312yes—
714#385C2314yes—
715#385C2314yes—
716#384C2311yescharacteristic
717#384C2312yes—
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2312yes—
721#384C2311yescharacteristic
722#384C2311yescharacteristic
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2312yes—
727#384C2312yes—
728#383C2314yes—
729#383C2314yes—
730#383C2314yes—
731#382C2311yescharacteristic
732#382C2312yes—
733#382C2311yescharacteristic
734#382C2311yescharacteristic
735#382C2312yes—
736#382C2311yescharacteristic
737#382C2314yes—
738#382C2311yescharacteristic
739#382C2311yescharacteristic
740#382C2311yescharacteristic
741#382C2311yescharacteristic
742#382C2312yes—
743#382C2312yes—
744#382C2314yes—
745#381C2314yes—
746#381C2314yes—
747#381C2314yes—
748#381C2312yes—
749#381C2314yes—
750#380C2312yes—
751#380C2314yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2314yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2312yes—
767#380C2314yes—
768#380C2314yes—
769#380C2314yes—
770#380C2312yes—
771#380C2312yes—
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2314yes—
776#379C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C25C2411yescharacteristic
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C22×Q8—24no—
824C22×Q8—24no—
825C22×Q8—24no—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2411yescharacteristic
829C22×Q8C2414yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2412yes—
834C23×C4—24no—
835C23×C4—24no—
836C23×C4#4118yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2411yescharacteristic
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859C4⋊Q8—44no—
860#126—84no—
861#125—44no—
862#125—44no—
863#125—84no—
864#125—84no—
865#124—44no—
866#123—28no—
867#123—48no—
868C22⋊Q8—28no—
869C22⋊Q8—28no—
870C22⋊Q8—28no—
871C22⋊Q8—28no—
872C22⋊Q8—24no—
873C22⋊Q8—24no—
874C22⋊Q8—48no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
877C22⋊Q8—84no—
878C22⋊Q8—84no—
879#121—24no—
880#121—24no—
881#120—28no—
882C4×Q8—44no—
883C4×Q8—44no—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×Q8—44no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—44no—
890C4×D4—48no—
891C4×D4—84no—
892#117—24no—
893#117—24no—
894#117—24no—
895#117—24no—
896#117—24no—
897#117—24no—
898#117—24no—
899#117—24no—
900#117—24no—
901#117—24no—
902#117—24no—
903#117—24no—
904#117—24no—
905#117—24no—
906#117—24no—
907#117—44no—
908#117—44no—
909#117—44no—
910#117—44no—
911#117—48no—
912#117—42no—
913#117—42no—
914#117—42no—
915#117—42no—
916#117—44no—
917C2×C4⋊C4—24no—
918C2×C4⋊C4—24no—
919C2×C4⋊C4—28no—
920C2×C4⋊C4—24no—
921C2×C4⋊C4—24no—
922C2×C4⋊C4—24no—
923C2×C4⋊C4—42no—
924C2×C4⋊C4—42no—
925C2×C4⋊C4—42no—
926C2×C4⋊C4—42no—
927C2×C4⋊C4—44no—
928C2×C4⋊C4—82no—
929C2×C4⋊C4—82no—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C22⋊C4—24no—
1015C2×C22⋊C4—24no—
1016C2×C22⋊C4—28no—
1017C2×C22⋊C4—44no—
1018C2×C22⋊C4—44no—
1019C2×C22⋊C4—82no—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C42—24no—
1067C2×C42—24no—
1068C2×C42—44no—
1069C2×C42—44no—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174C24—22no—
1175C24—22no—
1176C24—41no—
1177C24—41no—
1178C24—41no—
1179C24—41no—
1180C24C2×#4114yes—
1181C24C2512yes—
1182C24C2511yescharacteristic
1183C24C2511yescharacteristic
1184C24C2511yescharacteristic
1185#41—416no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—24no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—24no—
1193C2×Q8—24no—
1194C2×Q8—22no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×Q8—44no—
1198C2×Q8—416no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—232no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4C2×#4114yes—
1265C22×C4C2×#4114yes—
1266C22×C4C2×#4114yes—
1267C22×C4C2×#4114yes—
1268C22×C4C2×#4114yes—
1269C22×C4C2×#4114yes—
1270C22×C4H(5,𝔽2)14yes—
1271C22×C42−1+414yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2514yes—
1279C22×C4C2514yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2514yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2514yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—28no—
1396C22⋊C4—28no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—42no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—24no—
1442C42—24no—
1443C42—24no—
1444C42—24no—
1445C42—24no—
1446C42—24no—
1447C42—24no—
1448C42—42no—
1449C42—42no—
1450C42—42no—
1451C42—42no—
1452C42—44no—
1453C42—44no—
1454C42—44no—
1455C42—44no—
1456C42—44no—
1457C42—44no—
1458C42—44no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—28no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—44no—
1484C23—44no—
1485C23—82no—
1486C23—82no—
1487C23—82no—
1488C23—82no—
1489C23C22×#4112yes—
1490C23C22×#4112yes—
1491C23C22×#4112yes—
1492C23C2×H(5,𝔽2)12yes—
1493C23C2×2−1+412yes—
1494C23C2611yescharacteristic
1495Q8—48no—
1496Q8—48no—
1497Q8—44no—
1498Q8—164no—
1499D4—48no—
1500D4—48no—
1501D4—44no—
1502D4—84no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—28no—
1508C2×C4—28no—
1509C2×C4—28no—
1510C2×C4—28no—
1511C2×C4—28no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—24no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—48no—
1594C2×C4—48no—
1595C2×C4—82no—
1596C2×C4—82no—
1597C2×C4—84no—
1598C2×C4—82no—
1599C2×C4—82no—
1600C2×C4—84no—
1601C2×C4—84no—
1602C2×C4—84no—
1603C2×C4—84no—
1604C2×C4—84no—
1605C2×C4—84no—
1606C2×C4—164no—
1607C2×C4#539116yes—
1608C2×C4C22×#4112yes—
1609C2×C4C22×#4112yes—
1610C2×C4C22×#4112yes—
1611C2×C4C22×#4112yes—
1612C2×C4C2×H(5,𝔽2)12yes—
1613C2×C4C2×H(5,𝔽2)12yes—
1614C2×C4C2×2−1+412yes—
1615C2×C4C2×2−1+412yes—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—88no—
1644C22C2×#53914yes—
1645C22C23×#4111yescharacteristic
1646C22C22×H(5,𝔽2)11yescharacteristic
1647C22C22×2−1+411yescharacteristic
1648C22H(7,𝔽2)11yescharacteristic
1649C222−1+611yescharacteristic
1650C222−1+611yescharacteristic
1651C222−1+611yescharacteristic
1652C4—22no—
1653C4—22no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—44no—
1659C4—42no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—42no—
1665C4—42no—
1666C4—42no—
1667C4—42no—
1668C4—44no—
1669C4—42no—
1670C4—42no—
1671C4—42no—
1672C4—44no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4—42no—
1677C4—42no—
1678C4—42no—
1679C4—42no—
1680C4—44no—
1681C4C2×#53914yes—
1682C4C2×#53914yes—
1683C2—24no—
1684C2—42no—
1685C2—42no—
1686C2—82no—
1687C2C22×#53911yescharacteristic
1688C2#6285611yescharacteristic
1689C2#6286011yescharacteristic
1690C2#6287811yescharacteristic
1691C2#6287911yescharacteristic
1692C2#6288811yescharacteristic
1693C2#6288911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #42948C2semidirect
2. #42924C2semidirect
3. #42922C2semidirect
4. #42921C2semidirect
5. #42656C2semidirect
6. #42655C2semidirect
7. #42452C2semidirect
8. #42451C2semidirect
9. #42159C2semidirect
10. #41965C2semidirect
11. #40559C2semidirect
12. #40558C2semidirect
13. #37526C2semidirect
14. #37524C2semidirect
15. #37522C2semidirect
16. #37521C2semidirect
17. #37430C2semidirect
18. #37394C2semidirect
19. #37326C2semidirect
20. #37323C2semidirect
21. #35673C2semidirect
22. #35668C2semidirect
23. #35630C2semidirect
24. #35619C2semidirect
25. #35585C2semidirect
26. #35575C2semidirect
27. #35545C2semidirect
28. #35543C2semidirect
30. #35253C2semidirect
32. C2×#2625C2semidirect
33. #34203C2semidirect
35. #34052C2semidirect
49. #2839C22semidirect
50. #2839C22semidirect
51. #2838C22semidirect
52. #2836C22semidirect
57. #2810C22semidirect
58. #2809C22semidirect
59. #2807C22semidirect
60. #2805C22semidirect
61. #2802C22semidirect
62. #2802C22semidirect
63. #2798C22semidirect
67. #2787C22semidirect
69. #2783C22semidirect
71. #2777C22semidirect
72. #2776C22semidirect
73. #2776C22semidirect
74. #2773C22semidirect
75. #2771C22semidirect
84. #2726C22semidirect
88. #2689C22semidirect
89. #2667C22semidirect
90. #2666C22semidirect
91. #2666C22semidirect
92. #2664C22semidirect
93. #2655C22semidirect
94. #2655C22semidirect
95. #2654C22semidirect
101. #2652C22semidirect
129. #2585C22semidirect
130. #2585C22semidirect
131. #2573C22semidirect
132. #2571C22semidirect
133. #2570C22semidirect
134. #2570C22semidirect
136. #2568C22semidirect
137. #2567C22semidirect
138. #2565C22semidirect
139. #2565C22semidirect
141. #2556C22semidirect
142. #2552C22semidirect
145. #2514C22semidirect
146. #2514C22semidirect
147. #2514C22semidirect
148. #2514C22semidirect
149. #2514C22semidirect
150. #2513C22semidirect
151. #2512C22semidirect
152. #2511C22semidirect
153. #2511C22semidirect
154. #2511C22semidirect
155. #2511C22semidirect
156. #2511C22semidirect
158. #2509C22semidirect
159. #2509C22semidirect
160. #2509C22semidirect
161. #2508C22semidirect
162. #2508C22semidirect
163. #2508C22semidirect
164. #2507C22semidirect
165. #2507C22semidirect
166. #2507C22semidirect
167. #2506C22semidirect
168. #2506C22semidirect
169. #2506C22semidirect
171. #2503C22semidirect
172. #2502C22semidirect
173. #2499C22semidirect
174. #2499C22semidirect
177. #2497C22semidirect
178. #2496C22semidirect
179. #2495C22semidirect
180. #2494C22semidirect
187. #2454C22semidirect
188. #2453C22semidirect
189. #2453C22semidirect
190. #2453C22semidirect
191. #2452C22semidirect
192. #2451C22semidirect
193. #2451C22semidirect
194. #2451C22semidirect
195. #2448C22semidirect
196. #2448C22semidirect
197. #2447C22semidirect
198. #2447C22semidirect
199. #2446C22semidirect
200. #2446C22semidirect
201. #2446C22semidirect
202. #2446C22semidirect
205. #2442C22semidirect
207. #2441C22semidirect
209. #2440C22semidirect
211. #2439C22semidirect
216. #2423C22semidirect
217. #2423C22semidirect
218. #2421C22semidirect
219. #2421C22semidirect

Maximal subgroups

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

subgroupindex
#429482
#429242
#429222
#429212
#426562
#426552
#424522
#424512
#421592
#419652
#405592
#405582
#375262
#375242
#375222
#375212
#374302
#373942
#373262
#373232
#356732
#356682
#356302
#356192
#355852
#355752
#355452
#355432
#353062
#352532
#346352
C2×#26252
#342032
#342022
#340522