Finite Group Databasebeta

← #7644202

Subgroups — #7644202

Order 512.

4592 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42905C212yesmaximal, complemented
2#42904C212yesmaximal, complemented
3#42898C212yesmaximal, complemented
4#42896C212yesmaximal, complemented
5#42871C212yesmaximal, complemented
6#42870C212yesmaximal, complemented
7#42865C212yesmaximal, complemented
8#42861C212yesmaximal, complemented
9#42859C212yesmaximal, complemented
10#42856C212yesmaximal, complemented
11#42849C212yesmaximal, complemented
12#42846C212yesmaximal, complemented
13#42840C212yesmaximal, complemented
14#42836C212yesmaximal, complemented
15#42832C212yesmaximal, complemented
16#42827C212yesmaximal, complemented
17#37507C214yesmaximal, complemented
18#37506C214yesmaximal, complemented
19#36824C214yesmaximal, complemented
20#36796C214yesmaximal, complemented
21#35673C211yesmaximal, characteristic, complemented
22#35672C211yesmaximal, characteristic, complemented
23#35662C211yesmaximal, characteristic, complemented
24#35661C211yesmaximal, characteristic
25#35544C211yesmaximal, characteristic, complemented
26#35543C211yesmaximal, characteristic, complemented
27#35519C211yesmaximal, characteristic, complemented
28#35516C211yesmaximal, characteristic
29#35160C211yesmaximal, characteristic, complemented
30#35159C211yesmaximal, characteristic, complemented
31#34635C211yesmaximal, characteristic
32#34634C211yesmaximal, characteristic, complemented
33#34266C211yesmaximal, characteristic, complemented
34#34249C211yesmaximal, characteristic, complemented
35C2×#2323C211yesmaximal, characteristic, complemented
36C2×#536C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#519C2211yescharacteristic
42C2×#519C2211yescharacteristic
43C22×C4×Q8C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2852C2214yes—
46#2851C2214yes—
47#2839C2214yescomplemented
48#2839C2214yescomplemented
49#2838C2214yes—
50#2838C2214yescomplemented
51#2837C2214yes—
52#2837C2214yes—
53#2836C2214yes—
54#2836C2214yescomplemented
55#2808C2214yes—
56#2807C2214yescomplemented
57#2805C2214yescomplemented
58#2802C2214yescomplemented
59#2798C2214yes—
60#2796C2214yes—
61#2795C2214yes—
62#2793C2214yes—
63#2792C2214yescomplemented
64#2791C2214yescomplemented
65#2785C2214yes—
66#2783C2214yes—
67#2783C2214yes—
68#2783C2214yescomplemented
69#2781C2214yes—
70#2777C2214yes—
71#2777C2214yescomplemented
72#2776C2214yescomplemented
73#2775C2214yes—
74#2773C2214yes—
75#2773C2214yescomplemented
76#2769C2214yescomplemented
77#2767C2214yescomplemented
78#2765C2214yescomplemented
79#2727C2214yes—
80#2726C2214yescomplemented
81#2721C2214yes—
82#2721C2214yescomplemented
83#2720C2214yescomplemented
84#2718C2214yes—
85#2694C2214yes—
86#2689C2214yescomplemented
87#2667C2214yescomplemented
88#2666C2214yescomplemented
89#2664C2214yes—
90#2663C2214yes—
91#2655C2214yescomplemented
92#2655C2214yescomplemented
93#2655C2214yescomplemented
94#2654C2214yes—
95#2654C2214yes—
96#2654C2214yescomplemented
97#2652C2214yescomplemented
98#2651C2214yes—
99#2651C2214yes—
100#2650C2214yes—
101#2650C2214yescomplemented
102#2649C2214yes—
103#2646C2214yes—
104#2643C2214yes—
105#2629C2211yescharacteristic
106#2629C2211yescharacteristic
107#2629C2211yescharacteristic
108#2629C2211yescharacteristic
109#2628C2211yescharacteristic
110#2628C2211yescharacteristic
111#2628C2211yescharacteristic
112#2628C2211yescharacteristic
113#2627C2212yes—
114#2627C2212yes—
115#2626C2212yes—
116#2626C2212yes—
117#2625C2211yescharacteristic
118#2625C2211yescharacteristic
119#2625C2211yescharacteristic
120#2625C2211yescharacteristic
121#2624C2211yescharacteristic
122#2624C2211yescharacteristic
123#2624C2211yescharacteristic
124#2624C2211yescharacteristic
125#2623C2212yes—
126#2623C2212yes—
127#2622C2212yes—
128#2622C2212yes—
129#2596C2214yes—
130#2594C2214yes—
131#2590C2214yescomplemented
132#2588C2214yescomplemented
133#2582C2212yescomplemented
134#2582C2212yescomplemented
135#2582C2212yescomplemented
136#2581C2212yescomplemented
137#2581C2212yescomplemented
138#2581C2212yescomplemented
139#2580C2212yescomplemented
140#2577C2214yescomplemented
141#2575C2214yescomplemented
142#2571C2212yescomplemented
143#2570C2212yescomplemented
144#2570C2212yescomplemented
145#2560C2214yes—
146#2558C2214yes—
147#2552C2212yescomplemented
148#2538C2212yes—
149#2538C2212yes—
150#2538C2212yescomplemented
151#2536C2212yes—
152#2536C2212yes—
153#2514C2212yescomplemented
154#2513C2212yescomplemented
155#2512C2212yescomplemented
156#2511C2212yescomplemented
157#2509C2212yescomplemented
158#2509C2212yescomplemented
159#2509C2212yescomplemented
160#2508C2212yescomplemented
161#2508C2212yescomplemented
162#2508C2212yescomplemented
163#2507C2212yescomplemented
164#2507C2212yescomplemented
165#2507C2212yescomplemented
166#2506C2212yescomplemented
167#2506C2212yescomplemented
168#2506C2212yescomplemented
169#2505C2214yes—
170#2498C2214yes—
171#2498C2214yes—
172#2497C2212yes—
173#2497C2212yes—
174#2497C2212yescomplemented
175#2496C2212yes—
176#2496C2212yes—
177#2496C2212yescomplemented
178#2495C2212yes—
179#2495C2212yes—
180#2495C2212yescomplemented
181#2494C2212yes—
182#2494C2212yes—
183#2494C2212yescomplemented
184#2493C2214yes—
185#2487C2212yes—
186#2486C2212yes—
187#2485C2212yes—
188#2485C2212yes—
189#2484C2214yes—
190#2482C2214yes—
191#2480C2214yes—
192#2473C2214yes—
193#2453C2212yescomplemented
194#2453C2212yescomplemented
195#2451C2212yescomplemented
196#2451C2212yescomplemented
197#2450C2214yes—
198#2449C2214yes—
199#2448C2212yescomplemented
200#2448C2212yescomplemented
201#2446C2212yescomplemented
202#2446C2212yescomplemented
203#2442C2212yescomplemented
204#2441C2212yescomplemented
205#2440C2212yescomplemented
206#2439C2212yescomplemented
207#2438C2214yes—
208#2438C2214yes—
209#2429C2212yes—
210#2429C2212yes—
211#2426C2212yes—
212#2426C2212yes—
213#2423C2212yes—
214#2423C2212yes—
215#2423C2212yes—
216#2423C2212yes—
217#2423C2212yes—
218#2423C2212yescomplemented
219#2423C2212yescomplemented
220#2422C2212yes—
221#2421C2212yes—
222#2421C2212yes—
223#2421C2212yes—
224#2421C2212yes—
225#2421C2212yes—
226#2421C2212yescomplemented
227#2421C2212yescomplemented
228#2420C2212yes—
229#2419C2214yes—
230#2418C2214yes—
231#2413C2214yes—
232#2411C2214yes—
233#2396C2212yes—
234#2396C2212yes—
235#2396C2212yes—
236#2396C2212yes—
237#2395C2212yes—
238#2395C2212yes—
239#2395C2212yes—
240#2395C2212yes—
241#2367C2212yescomplemented
242#2367C2212yescomplemented
243#2365C2212yescomplemented
244#2365C2212yescomplemented
245#2362C2212yescomplemented
246#2362C2212yescomplemented
247#2360C2212yescomplemented
248#2360C2212yescomplemented
249#2351C2212yescomplemented
250#2351C2212yescomplemented
251#2351C2212yescomplemented
252#2351C2212yescomplemented
253Q8×C4⋊C4C2212yescomplemented
254Q8×C4⋊C4C2212yescomplemented
255Q8×C4⋊C4C2212yescomplemented
256Q8×C4⋊C4C2212yescomplemented
257#2323C2212yes—
258#2323C2212yes—
259#2323C2212yes—
260#2323C2212yes—
261#2323C2212yes—
262#2323C2212yes—
263#2323C2212yes—
264#2323C2212yes—
265#2322C2214yes—
266#2317C2211yescharacteristic
267#2317C2211yescharacteristic
268#2317C2211yescharacteristic
269#2317C2211yescharacteristic
270#2317C2211yescharacteristic
271#2317C2214yes—
272#2317C2211yescharacteristic
273#2316C2211yescharacteristic
274#2316C2211yescharacteristic
275#2311C2211yescharacteristic
276#2311C2211yescharacteristic
277#2310C2211yescharacteristic
278C4×#123C2214yes—
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285#2296C2214yes—
286C2×#391C2211yescharacteristic
287C2×#389C2211yescharacteristic
288C2×#389C2212yes—
289C2×#388C2212yes—
290C2×#388C2212yes—
291C2×#387C2212yes—
292#2285C2211yescharacteristic
293#2280C2211yescharacteristic
294#2280C2211yescharacteristic
295#2280C2211yescharacteristic
296C2×#380C2211yescharacteristic
297#2274C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C24×C4C2311yescharacteristic
302#536—28no—
303#533—44no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#125C2311yescharacteristic
310C2×#125C2311yescharacteristic
311C2×#125C2314yes—
312C2×#125C2314yes—
313C2×#124C2312yes—
314#525—44no—
315C2×#123C2314yes—
316C2×#123C2312yes—
317C2×#123C2314yes—
318C2×C22⋊Q8—28no—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×#121C2311yescharacteristic
331C2×#121C2311yescharacteristic
332C2×#120C2312yes—
333#520—44no—
334#519—28no—
335#519—44no—
336C2×C4×Q8—44no—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×#117—44no—
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2314yes—
365C2×#117C2314yes—
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2312yes—
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2312yes—
384C22×C22⋊C4C2312yes—
385C22×C22⋊C4C2311yescharacteristic
386C22×C22⋊C4C2311yescharacteristic
387C22×C22⋊C4C2312yes—
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2312yes—
391C22×C42C2312yes—
392#401C2314yes—
393#401C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#400C2312yes—
420#400C2312yes—
421#400C2312yes—
422#400C2312yes—
423#400C2312yes—
424#399C2312yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2312yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2312yes—
433#399C2312yes—
434#399C2312yes—
435#399C2312yes—
436#399C2312yes—
437#399C2312yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2312yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2312yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2312yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2312yes—
463#398C2312yes—
464#398C2312yes—
465#398C2312yes—
466#398C2312yes—
467#398C2312yes—
468#398C2312yes—
469#398C2312yes—
470#398C2312yes—
471#397C2314yes—
472#397C2314yes—
473#397C2312yes—
474#397C2314yes—
475#397C2312yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2312yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2312yes—
488#397C2312yes—
489#397C2312yes—
490#397C2312yes—
491#397C2312yes—
492#397C2312yes—
493#397C2312yes—
494#397C2312yes—
495#397C2312yes—
496#396C2312yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2312yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2312yes—
507#396C2312yes—
508#396C2312yes—
509#396C2312yes—
510#396C2312yes—
511#396C2312yes—
512#395C2314yes—
513#395C2314yes—
514#395C2314yes—
515#395C2312yes—
516#395C2312yes—
517#395C2312yes—
518#395C2312yes—
519#394C2312yes—
520#394C2312yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2312yes—
526#394C2312yes—
527#394C2312yes—
528#394C2312yes—
529#394C2312yes—
530#394C2312yes—
531#393C2312yes—
532#393C2314yes—
533#393C2312yes—
534#393C2312yes—
535#393C2312yes—
536#391C2314yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2311yescharacteristic
548#391C2311yescharacteristic
549#391C2314yes—
550#391C2314yes—
551#391C2311yescharacteristic
552#391C2311yescharacteristic
553#390C2314yes—
554#390C2312yes—
555#390C2312yes—
556#390C2311yescharacteristic
557#390C2311yescharacteristic
558#390C2311yescharacteristic
559#390C2311yescharacteristic
560#390C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2314yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2314yes—
589#389C2314yes—
590#389C2312yes—
591#389C2312yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2314yes—
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2314yes—
604#389C2314yes—
605#389C2314yes—
606#389C2314yes—
607#389C2314yes—
608#389C2314yes—
609#389C2314yes—
610#389C2314yes—
611#389C2314yes—
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#389C2311yescharacteristic
617#389C2311yescharacteristic
618#389C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2311yescharacteristic
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2311yescharacteristic
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#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#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#386C2312yes—
701#385C2312yes—
702#385C2312yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2312yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2312yes—
716#385C2312yes—
717#385C2312yes—
718#385C2312yes—
719#385C2312yes—
720#384C2311yescharacteristic
721#384C2312yes—
722#384C2312yes—
723#384C2312yes—
724#384C2312yes—
725#384C2312yes—
726#384C2312yes—
727#384C2314yes—
728#384C2314yes—
729#384C2311yescharacteristic
730#383C2314yes—
731#383C2314yes—
732#382C2312yes—
733#382C2311yescharacteristic
734#382C2312yes—
735#382C2311yescharacteristic
736#382C2314yes—
737#382C2312yes—
738#382C2312yes—
739#382C2312yes—
740#382C2312yes—
741#382C2314yes—
742#382C2314yes—
743#382C2314yes—
744#381C2314yes—
745#381C2314yes—
746#381C2312yes—
747#381C2312yes—
748#381C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2314yes—
754#380C2314yes—
755#380C2314yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2311yescharacteristic
761#380C2311yescharacteristic
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2312yes—
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#379C2312yes—
775#379C2312yes—
776#379C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2314yes—
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×C4⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
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#4118yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2412yes—
835C23×C4—24no—
836C23×C4—24no—
837C23×C4—24no—
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2414yes—
853C23×C4C2411yescharacteristic
854C4⋊Q8—28no—
855C4⋊Q8—42no—
856C4⋊Q8—42no—
857#126—84no—
858#126—84no—
859#125—42no—
860#125—42no—
861#125—84no—
862#125—84no—
863#124—28no—
864#123—216no—
865#123—44no—
866#123—84no—
867C22⋊Q8—28no—
868C22⋊Q8—28no—
869C22⋊Q8—28no—
870C22⋊Q8—28no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—44no—
874C22⋊Q8—44no—
875C22⋊Q8—42no—
876C22⋊Q8—42no—
877C22⋊Q8—84no—
878#121—42no—
879#121—42no—
880#120—44no—
881C4×Q8—28no—
882C4×Q8—28no—
883C4×Q8—28no—
884C4×Q8—28no—
885C4×Q8—44no—
886C4×Q8—44no—
887C4×Q8—44no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×Q8—44no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×D4—44no—
897C4×D4—44no—
898C4×D4—44no—
899C4×D4—48no—
900#117—216no—
901#117—24no—
902#117—24no—
903#117—24no—
904#117—24no—
905#117—24no—
906#117—24no—
907#117—24no—
908#117—42no—
909#117—42no—
910#117—42no—
911#117—42no—
912#117—42no—
913#117—42no—
914#117—42no—
915#117—42no—
916#117—48no—
917#117—44no—
918C2×C4⋊C4—24no—
919C2×C4⋊C4—28no—
920C2×C4⋊C4—24no—
921C2×C4⋊C4—24no—
922C2×C4⋊C4—44no—
923C2×C4⋊C4—42no—
924C2×C4⋊C4—42no—
925C2×C4⋊C4—44no—
926C2×C4⋊C4—82no—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C22⋊C4—28no—
1013C2×C22⋊C4—42no—
1014C2×C22⋊C4—42no—
1015C2×C22⋊C4—82no—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C42—24no—
1067C2×C42—24no—
1068C2×C42—44no—
1069C2×C42—82no—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
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#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172C24—22no—
1173C24—22no—
1174C24—22no—
1175C24—41no—
1176C24—41no—
1177C24—41no—
1178C24—41no—
1179C24C2511yescharacteristic
1180C24C2511yescharacteristic
1181C24C2512yes—
1182C24C2511yescharacteristic
1183#41—416no—
1184C2×Q8—232no—
1185C2×Q8—22no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—24no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8C2×#4118yes—
1199C2×Q8C2×#4118yes—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—24no—
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—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—41no—
1240C22×C4—42no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—41no—
1248C22×C4—42no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—42no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—416no—
1257C22×C4C2×#4118yes—
1258C22×C4C2×#4114yes—
1259C22×C4H(5,𝔽2)14yes—
1260C22×C42−1+414yes—
1261C22×C4C2512yes—
1262C22×C4C2514yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2514yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2514yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—28no—
1295C4⋊C4—28no—
1296C4⋊C4—28no—
1297C4⋊C4—28no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—28no—
1305C4⋊C4—28no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—44no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—28no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C42—28no—
1428C42—28no—
1429C42—24no—
1430C42—24no—
1431C42—24no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—24no—
1441C42—24no—
1442C42—24no—
1443C42—24no—
1444C42—44no—
1445C42—44no—
1446C42—44no—
1447C42—44no—
1448C42—44no—
1449C42—44no—
1450C42—44no—
1451C42—44no—
1452C42—44no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—22no—
1460C23—21no—
1461C23—21no—
1462C23—22no—
1463C23—21no—
1464C23—21no—
1465C23—22no—
1466C23—21no—
1467C23—22no—
1468C23—21no—
1469C23—22no—
1470C23—22no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—22no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—44no—
1479C23—44no—
1480C23—44no—
1481C23—82no—
1482C23—82no—
1483C23—82no—
1484C23—82no—
1485C23C22×#4112yes—
1486C23C2×H(5,𝔽2)12yes—
1487C23C2×2−1+412yes—
1488C23C2611yescharacteristic
1489Q8—216no—
1490Q8—216no—
1491Q8—44no—
1492Q8—84no—
1493Q8—84no—
1494D4—48no—
1495D4—44no—
1496D4—84no—
1497D4—84no—
1498C2×C4—24no—
1499C2×C4—24no—
1500C2×C4—216no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—24no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—48no—
1586C2×C4—44no—
1587C2×C4—44no—
1588C2×C4—44no—
1589C2×C4—44no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—48no—
1594C2×C4—82no—
1595C2×C4—84no—
1596C2×C4—84no—
1597C2×C4—82no—
1598C2×C4—164no—
1599C2×C4#539116yes—
1600C2×C4C22×#4118yes—
1601C2×C4C22×#4112yes—
1602C2×C4C22×#4112yes—
1603C2×C4C2×H(5,𝔽2)12yes—
1604C2×C4C2×H(5,𝔽2)12yes—
1605C2×C4C2×2−1+412yes—
1606C2×C4C2×2−1+412yes—
1607C22—22no—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—42no—
1614C22—41no—
1615C22—41no—
1616C22—42no—
1617C22—41no—
1618C22—41no—
1619C22—42no—
1620C22—41no—
1621C22—41no—
1622C22—42no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—42no—
1627C22—41no—
1628C22—42no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—42no—
1634C22—88no—
1635C22C2×#53914yes—
1636C22C23×#4111yescharacteristic
1637C22C22×H(5,𝔽2)11yescharacteristic
1638C22C22×2−1+411yescharacteristic
1639C22H(7,𝔽2)11yescharacteristic
1640C222−1+611yescharacteristic
1641C222−1+611yescharacteristic
1642C222−1+611yescharacteristic
1643C4—28no—
1644C4—42no—
1645C4—42no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—44no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—44no—
1655C4—41no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—44no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—42no—
1666C4—42no—
1667C4—42no—
1668C4—42no—
1669C4—41no—
1670C4—41no—
1671C4—42no—
1672C4C2×#53914yes—
1673C4C2×#53914yes—
1674C2—24no—
1675C2—82no—
1676C2—81no—
1677C2—81no—
1678C2C22×#53911yescharacteristic
1679C2#6285011yescharacteristic
1680C2#6285111yescharacteristic
1681C2#6287511yescharacteristic
1682C2#6287911yescharacteristic
1683C2#6288611yescharacteristic
1684C2#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. #42905C2semidirect
2. #42904C2semidirect
3. #42898C2semidirect
4. #42896C2semidirect
5. #42871C2semidirect
6. #42870C2semidirect
7. #42865C2semidirect
8. #42861C2semidirect
9. #42859C2semidirect
10. #42856C2semidirect
11. #42849C2semidirect
12. #42846C2semidirect
13. #42840C2semidirect
14. #42836C2semidirect
15. #42832C2semidirect
16. #42827C2semidirect
17. #37507C2semidirect
18. #37506C2semidirect
19. #36824C2semidirect
20. #36796C2semidirect
21. #35673C2semidirect
22. #35672C2semidirect
23. #35662C2semidirect
25. #35544C2semidirect
26. #35543C2semidirect
27. #35519C2semidirect
29. #35160C2semidirect
30. #35159C2semidirect
32. #34634C2semidirect
33. #34266C2semidirect
34. #34249C2semidirect
35. C2×#2323C2semidirect
47. #2839C22semidirect
48. #2839C22semidirect
50. #2838C22semidirect
54. #2836C22semidirect
56. #2807C22semidirect
57. #2805C22semidirect
58. #2802C22semidirect
63. #2792C22semidirect
64. #2791C22semidirect
68. #2783C22semidirect
71. #2777C22semidirect
72. #2776C22semidirect
75. #2773C22semidirect
76. #2769C22semidirect
77. #2767C22semidirect
78. #2765C22semidirect
80. #2726C22semidirect
82. #2721C22semidirect
83. #2720C22semidirect
86. #2689C22semidirect
87. #2667C22semidirect
88. #2666C22semidirect
91. #2655C22semidirect
92. #2655C22semidirect
93. #2655C22semidirect
96. #2654C22semidirect
97. #2652C22semidirect
101. #2650C22semidirect
131. #2590C22semidirect
132. #2588C22semidirect
133. #2582C22semidirect
134. #2582C22semidirect
135. #2582C22semidirect
136. #2581C22semidirect
137. #2581C22semidirect
138. #2581C22semidirect
139. #2580C22semidirect
140. #2577C22semidirect
141. #2575C22semidirect
142. #2571C22semidirect
143. #2570C22semidirect
144. #2570C22semidirect
147. #2552C22semidirect
150. #2538C22semidirect
153. #2514C22semidirect
154. #2513C22semidirect
155. #2512C22semidirect
156. #2511C22semidirect
157. #2509C22semidirect
158. #2509C22semidirect
159. #2509C22semidirect
160. #2508C22semidirect
161. #2508C22semidirect
162. #2508C22semidirect
163. #2507C22semidirect
164. #2507C22semidirect
165. #2507C22semidirect
166. #2506C22semidirect
167. #2506C22semidirect
168. #2506C22semidirect
174. #2497C22semidirect
177. #2496C22semidirect
180. #2495C22semidirect
183. #2494C22semidirect
193. #2453C22semidirect
194. #2453C22semidirect
195. #2451C22semidirect
196. #2451C22semidirect
199. #2448C22semidirect
200. #2448C22semidirect
201. #2446C22semidirect
202. #2446C22semidirect
203. #2442C22semidirect
204. #2441C22semidirect
205. #2440C22semidirect
206. #2439C22semidirect
218. #2423C22semidirect
219. #2423C22semidirect
226. #2421C22semidirect
227. #2421C22semidirect
241. #2367C22semidirect
242. #2367C22semidirect
243. #2365C22semidirect
244. #2365C22semidirect
245. #2362C22semidirect
246. #2362C22semidirect
247. #2360C22semidirect
248. #2360C22semidirect
249. #2351C22semidirect
250. #2351C22semidirect
251. #2351C22semidirect
252. #2351C22semidirect
253. Q8×C4⋊C4C22semidirect
254. Q8×C4⋊C4C22semidirect
255. Q8×C4⋊C4C22semidirect
256. Q8×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#429052
#429042
#428982
#428962
#428712
#428702
#428652
#428612
#428592
#428562
#428492
#428462
#428402
#428362
#428322
#428272
#375072
#375062
#368242
#367962
#356732
#356722
#356622
#356612
#355442
#355432
#355192
#355162
#351602
#351592
#346352
#346342
#342662
#342492
C2×#23232