Finite Group Databasebeta

← #7652092

Subgroups — #7652092

Order 512.

4721 conjugacy classes of subgroups.

The subgroup lattice has 1687 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42905C212yesmaximal, complemented
2#42868C212yesmaximal, complemented
3#42865C212yesmaximal, complemented
4#42863C212yesmaximal, complemented
5#42854C212yesmaximal, complemented
6#42849C212yesmaximal, complemented
7#42836C212yesmaximal, complemented
8#42833C212yesmaximal, complemented
9#41974C214yesmaximal, complemented
10#41965C214yesmaximal, complemented
11#40195C212yesmaximal, complemented
12#40124C212yesmaximal, complemented
13#40123C212yesmaximal, complemented
14#40099C212yesmaximal, complemented
15#39791C212yesmaximal, complemented
16#39662C212yesmaximal, complemented
17#39658C212yesmaximal, complemented
18#39214C212yesmaximal, complemented
19#38403C214yesmaximal, complemented
20#38400C214yesmaximal, complemented
21#35668C211yesmaximal, characteristic, complemented
22#35661C211yesmaximal, characteristic
23#35575C211yesmaximal, characteristic, complemented
24#35557C211yesmaximal, characteristic, complemented
25#35543C211yesmaximal, characteristic, complemented
26#35516C211yesmaximal, characteristic
27#35286C211yesmaximal, characteristic, complemented
28#35253C211yesmaximal, characteristic, complemented
29#35182C211yesmaximal, characteristic, complemented
30#34814C211yesmaximal, characteristic, complemented
31#34810C211yesmaximal, characteristic
32C2×#2423C211yesmaximal, characteristic, complemented
33#34276C211yesmaximal, characteristic, complemented
34#34203C211yesmaximal, characteristic, complemented
35#34182C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#519C2211yescharacteristic
42C2×#519C2211yescharacteristic
43C22×C4×Q8C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2859C2212yescomplemented
46#2859C2212yescomplemented
47#2857C2212yes—
48#2853C2214yes—
49#2851C2212yes—
50#2839C2214yescomplemented
51#2837C2214yes—
52#2836C2214yes—
53#2836C2214yescomplemented
54#2809C2214yescomplemented
55#2807C2214yes—
56#2802C2214yescomplemented
57#2802C2214yescomplemented
58#2798C2214yes—
59#2794C2214yescomplemented
60#2793C2214yes—
61#2792C2214yescomplemented
62#2790C2214yescomplemented
63#2787C2214yescomplemented
64#2785C2214yes—
65#2783C2214yes—
66#2783C2214yescomplemented
67#2782C2214yes—
68#2777C2214yescomplemented
69#2775C2214yescomplemented
70#2773C2214yes—
71#2771C2214yes—
72#2767C2214yescomplemented
73#2767C2214yescomplemented
74#2765C2214yescomplemented
75#2744C2214yes—
76#2732C2214yes—
77#2727C2214yes—
78#2726C2214yescomplemented
79#2721C2214yescomplemented
80#2720C2214yes—
81#2718C2214yes—
82#2718C2214yes—
83#2694C2214yes—
84#2694C2214yes—
85#2689C2214yescomplemented
86#2667C2214yes—
87#2667C2214yescomplemented
88#2666C2214yescomplemented
89#2664C2214yes—
90#2664C2214yescomplemented
91#2663C2214yes—
92#2655C2214yescomplemented
93#2655C2214yescomplemented
94#2651C2214yes—
95#2650C2214yes—
96#2650C2214yescomplemented
97#2649C2214yes—
98#2647C2212yescomplemented
99#2647C2212yescomplemented
100#2629C2212yes—
101#2628C2212yes—
102#2623C2214yes—
103#2596C2214yes—
104#2596C2214yescomplemented
105#2590C2214yescomplemented
106#2588C2214yescomplemented
107#2585C2214yescomplemented
108#2575C2214yes—
109#2575C2214yescomplemented
110#2571C2212yescomplemented
111#2571C2212yescomplemented
112#2571C2212yescomplemented
113#2570C2212yescomplemented
114#2570C2212yescomplemented
115#2568C2212yescomplemented
116#2567C2212yescomplemented
117#2565C2212yescomplemented
118#2565C2212yescomplemented
119#2564C2214yes—
120#2560C2214yes—
121#2558C2214yes—
122#2556C2214yes—
123#2556C2214yescomplemented
124#2553C2214yes—
125#2552C2212yescomplemented
126#2552C2212yescomplemented
127#2552C2212yescomplemented
128#2538C2212yes—
129#2538C2212yes—
130#2536C2212yes—
131#2536C2212yes—
132#2512C2212yescomplemented
133#2512C2212yescomplemented
134#2511C2212yescomplemented
135#2511C2212yescomplemented
136#2509C2212yescomplemented
137#2508C2212yescomplemented
138#2507C2212yescomplemented
139#2506C2212yescomplemented
140#2505C2214yes—
141#2504C2211yescharacteristic
142#2503C2211yescharacteristic
143#2502C2211yescharacteristic
144#2501C2211yescharacteristic
145#2500C2211yescharacteristic
146#2500C2211yescharacteristic
147#2499C2211yescharacteristic
148#2499C2211yescharacteristic
149#2498C2212yes—
150#2498C2212yes—
151#2497C2211yescharacteristic
152#2497C2211yescharacteristic
153#2497C2212yescomplemented
154#2497C2212yescomplemented
155#2496C2211yescharacteristic
156#2496C2211yescharacteristic
157#2496C2212yescomplemented
158#2496C2212yescomplemented
159#2495C2211yescharacteristic
160#2495C2211yescharacteristic
161#2494C2211yescharacteristic
162#2494C2211yescharacteristic
163#2493C2212yes—
164#2493C2212yes—
165#2487C2212yes—
166#2486C2212yes—
167#2485C2212yes—
168#2485C2212yes—
169#2481C2214yes—
170#2481C2214yes—
171#2480C2212yes—
172#2480C2212yes—
173#2473C2214yes—
174#2454C2212yescomplemented
175#2453C2212yescomplemented
176#2453C2212yescomplemented
177#2453C2212yescomplemented
178#2452C2212yescomplemented
179#2451C2212yescomplemented
180#2451C2212yescomplemented
181#2451C2212yescomplemented
182#2448C2212yescomplemented
183#2448C2212yescomplemented
184#2446C2212yescomplemented
185#2446C2212yescomplemented
186#2442C2214yes—
187#2442C2214yes—
188#2442C2212yes—
189#2442C2212yescomplemented
190#2441C2212yes—
191#2441C2212yescomplemented
192#2440C2212yes—
193#2440C2212yescomplemented
194#2439C2212yes—
195#2439C2212yescomplemented
196#2438C2214yes—
197#2438C2214yes—
198#2438C2214yes—
199#2437C2214yes—
200#2429C2212yes—
201#2429C2212yes—
202#2426C2212yes—
203#2426C2212yes—
204#2423C2212yes—
205#2423C2212yes—
206#2423C2212yes—
207#2423C2212yes—
208#2423C2212yes—
209#2423C2212yes—
210#2423C2212yes—
211#2423C2212yes—
212#2423C2212yes—
213#2423C2212yescomplemented
214#2423C2212yescomplemented
215#2422C2212yes—
216#2421C2212yes—
217#2421C2212yescomplemented
218#2421C2212yescomplemented
219#2420C2212yes—
220#2419C2214yes—
221#2418C2214yes—
222#2417C2214yes—
223#2413C2214yes—
224#2412C2212yes—
225#2412C2212yes—
226#2411C2214yes—
227#2401C2212yes—
228#2401C2212yes—
229#2395C2212yes—
230#2395C2212yes—
231C2×#399C2212yes—
232C2×#398C2212yes—
233#2362C2212yes—
234#2362C2212yes—
235#2362C2212yescomplemented
236#2362C2212yescomplemented
237#2360C2212yes—
238#2360C2212yes—
239#2360C2212yescomplemented
240#2360C2212yescomplemented
241#2359C2214yes—
242#2359C2214yes—
243#2351C2212yescomplemented
244#2351C2212yescomplemented
245#2351C2212yescomplemented
246#2351C2212yescomplemented
247Q8×C4⋊C4C2212yescomplemented
248Q8×C4⋊C4C2212yescomplemented
249Q8×C4⋊C4C2212yescomplemented
250Q8×C4⋊C4C2212yescomplemented
251#2344C2214yes—
252#2342C2214yes—
253#2336C2214yescomplemented
254#2335C2214yes—
255#2334C2214yes—
256#2334C2214yescomplemented
257#2327C2212yescomplemented
258#2326C2212yescomplemented
259#2323C2212yes—
260#2323C2212yes—
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2316C2211yescharacteristic
266#2316C2211yescharacteristic
267#2316C2214yes—
268#2316C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2310C2211yescharacteristic
272C4×C4⋊Q8C2212yescomplemented
273C4×#126C2212yes—
274C4×#126C2212yes—
275C4×#124C2212yescomplemented
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×#123C2212yes—
279C4×#123C2212yes—
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284C2×#391C2211yescharacteristic
285C2×#389C2211yescharacteristic
286C2×#388C2212yes—
287C2×#387C2212yes—
288#2285C2214yes—
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292C2×#384C2211yescharacteristic
293#2280C2211yescharacteristic
294#2280C2211yescharacteristic
295C2×#380C2211yescharacteristic
296#2274C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C24×C4C2311yescharacteristic
302#544—44no—
303#536—28no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#126C2312yes—
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#125C2312yes—
312C2×#125C2314yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#125C2314yes—
316C2×#124C2312yes—
317#525—44no—
318C2×#123C2312yes—
319C2×#123C2314yes—
320C2×#123C2312yes—
321C2×#123C2312yes—
322C2×#123C2314yes—
323C2×C22⋊Q8—28no—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×#121C2311yescharacteristic
336C2×#121C2311yescharacteristic
337C2×#120C2312yes—
338#520—44no—
339#519—44no—
340#519—44no—
341C2×C4×Q8—28no—
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×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×#117—44no—
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2314yes—
368C2×#117C2314yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2312yes—
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2311yescharacteristic
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2311yescharacteristic
389C22×C22⋊C4C2312yes—
390C22×C42C2312yes—
391C22×C42C2311yescharacteristic
392C22×C42C2311yescharacteristic
393C22×C42C2312yes—
394#401C2312yes—
395#401C2312yes—
396#400C2314yes—
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#400C2312yes—
410#400C2312yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#400C2314yes—
420#400C2312yes—
421#400C2312yes—
422#400C2312yes—
423#399C2314yes—
424#399C2314yes—
425#399C2312yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2312yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
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#398C2312yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2312yes—
461#397C2312yes—
462#397C2312yes—
463#397C2314yes—
464#397C2312yes—
465#397C2312yes—
466#397C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2312yes—
471#397C2314yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2312yes—
476#397C2312yes—
477#397C2312yes—
478#397C2312yes—
479#397C2312yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2312yes—
488#396C2312yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#395C2314yes—
493#395C2314yes—
494#395C2314yes—
495#395C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2312yes—
503#394C2312yes—
504#393C2314yes—
505#393C2314yes—
506#391C2314yes—
507#391C2311yescharacteristic
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2314yes—
517#391C2311yescharacteristic
518#391C2314yes—
519#391C2312yes—
520#391C2312yes—
521#391C2314yes—
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#390C2314yes—
525#390C2312yes—
526#390C2312yes—
527#390C2311yescharacteristic
528#390C2314yes—
529#390C2311yescharacteristic
530#390C2311yescharacteristic
531#390C2311yescharacteristic
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
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#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#386C2312yes—
667#386C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#386C2312yes—
673#386C2312yes—
674#386C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#384C2312yes—
695#384C2311yescharacteristic
696#384C2312yes—
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#384C2312yes—
700#384C2312yes—
701#384C2312yes—
702#384C2312yes—
703#384C2312yes—
704#384C2311yescharacteristic
705#384C2311yescharacteristic
706#384C2314yes—
707#384C2314yes—
708#384C2311yescharacteristic
709#384C2312yes—
710#383C2312yes—
711#383C2312yes—
712#382C2311yescharacteristic
713#382C2312yes—
714#382C2311yescharacteristic
715#382C2311yescharacteristic
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2311yescharacteristic
720#382C2314yes—
721#382C2314yes—
722#382C2314yes—
723#382C2311yescharacteristic
724#382C2311yescharacteristic
725#382C2314yes—
726#382C2314yes—
727#381C2314yes—
728#381C2312yes—
729#381C2314yes—
730#381C2312yes—
731#381C2312yes—
732#381C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2314yes—
742#380C2314yes—
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2314yes—
746#380C2311yescharacteristic
747#380C2312yes—
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#379C2312yes—
761#379C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811#376C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2311yescharacteristic
816C2×#95C2312yes—
817C2×#95C2311yescharacteristic
818C43C2312yes—
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×Q8C2414yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2412yes—
834C23×C4—24no—
835C23×C4—24no—
836C23×C4—24no—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2411yescharacteristic
855C4⋊Q8—28no—
856C4⋊Q8—44no—
857C4⋊Q8—44no—
858#126—28no—
859#126—44no—
860#126—48no—
861#126—84no—
862#125—48no—
863#125—44no—
864#125—44no—
865#125—84no—
866#125—84no—
867#124—28no—
868#123—216no—
869#123—28no—
870#123—44no—
871#123—44no—
872#123—84no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—28no—
876C22⋊Q8—28no—
877C22⋊Q8—28no—
878C22⋊Q8—28no—
879C22⋊Q8—48no—
880C22⋊Q8—42no—
881C22⋊Q8—42no—
882C22⋊Q8—84no—
883C22⋊Q8—84no—
884#121—42no—
885#121—42no—
886#120—44no—
887C4×Q8—28no—
888C4×Q8—28no—
889C4×Q8—28no—
890C4×Q8—28no—
891C4×Q8—44no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×Q8—44no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—48no—
904#117—24no—
905#117—24no—
906#117—24no—
907#117—24no—
908#117—24no—
909#117—24no—
910#117—24no—
911#117—44no—
912#117—44no—
913#117—48no—
914#117—48no—
915#117—42no—
916#117—42no—
917#117—44no—
918C2×C4⋊C4—28no—
919C2×C4⋊C4—24no—
920C2×C4⋊C4—28no—
921C2×C4⋊C4—24no—
922C2×C4⋊C4—24no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—42no—
925C2×C4⋊C4—42no—
926C2×C4⋊C4—44no—
927C2×C4⋊C4—82no—
928C2×C4⋊C4—82no—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C22⋊C4—28no—
1008C2×C22⋊C4—24no—
1009C2×C22⋊C4—42no—
1010C2×C22⋊C4—44no—
1011C2×C22⋊C4—82no—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C42—28no—
1061C2×C42—24no—
1062C2×C42—24no—
1063C2×C42—44no—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
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—22no—
1177C24—22no—
1178C24—41no—
1179C24—41no—
1180C24—41no—
1181C24C2511yescharacteristic
1182C24C2512yes—
1183C24C2511yescharacteristic
1184C24C2511yescharacteristic
1185#41—416no—
1186C2×Q8—232no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—22no—
1191C2×Q8—24no—
1192C2×Q8—24no—
1193C2×Q8—22no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×Q8C2×#4118yes—
1198C2×Q8C2×#4118yes—
1199C2×D4—24no—
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—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—41no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—41no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—416no—
1262C22×C4C2×#4118yes—
1263C22×C4C2×#4114yes—
1264C22×C4H(5,𝔽2)14yes—
1265C22×C42−1+414yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2514yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2514yes—
1287C22×C4C2514yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2514yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C4⋊C4—28no—
1298C4⋊C4—28no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—28no—
1304C4⋊C4—28no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—28no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—28no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—22no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—24no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C42−1+414yes—
1423C42—28no—
1424C42—22no—
1425C42—22no—
1426C42—28no—
1427C42—22no—
1428C42—22no—
1429C42—24no—
1430C42—24no—
1431C42—24no—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—24no—
1440C42—24no—
1441C42—24no—
1442C42—42no—
1443C42—42no—
1444C42—42no—
1445C42—44no—
1446C42—44no—
1447C42—44no—
1448C42—44no—
1449C42—44no—
1450C42—42no—
1451C42—44no—
1452C42—44no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—22no—
1465C23—21no—
1466C23—22no—
1467C23—22no—
1468C23—21no—
1469C23—21no—
1470C23—22no—
1471C23—22no—
1472C23—21no—
1473C23—22no—
1474C23—21no—
1475C23—22no—
1476C23—21no—
1477C23—44no—
1478C23—44no—
1479C23—44no—
1480C23—44no—
1481C23—82no—
1482C23—82no—
1483C23—82no—
1484C23C22×#4112yes—
1485C23C2×H(5,𝔽2)12yes—
1486C23C2×2−1+412yes—
1487C23C2×2−1+412yes—
1488C23C2611yescharacteristic
1489Q8—216no—
1490Q8—216no—
1491Q8—44no—
1492Q8—164no—
1493D4—48no—
1494D4—44no—
1495D4—84no—
1496D4—84no—
1497C2×C4—21no—
1498C2×C4—24no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—24no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—216no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—24no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—44no—
1582C2×C4—44no—
1583C2×C4—44no—
1584C2×C4—44no—
1585C2×C4—44no—
1586C2×C4—44no—
1587C2×C4—44no—
1588C2×C4—44no—
1589C2×C4—48no—
1590C2×C4—82no—
1591C2×C4—84no—
1592C2×C4—84no—
1593C2×C4—84no—
1594C2×C4—84no—
1595C2×C4—84no—
1596C2×C4—164no—
1597C2×C4#539116yes—
1598C2×C4C22×#4118yes—
1599C2×C4C22×#4112yes—
1600C2×C4C22×#4112yes—
1601C2×C4C2×H(5,𝔽2)12yes—
1602C2×C4C2×H(5,𝔽2)12yes—
1603C2×C4C2×2−1+412yes—
1604C2×C4C2×2−1+412yes—
1605C2×C4C2×2−1+412yes—
1606C2×C4C2×2−1+412yes—
1607C2×C4#58512yes—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—42no—
1622C22—41no—
1623C22—42no—
1624C22—41no—
1625C22—42no—
1626C22—41no—
1627C22—42no—
1628C22—41no—
1629C22—41no—
1630C22—42no—
1631C22—42no—
1632C22—41no—
1633C22—42no—
1634C22—41no—
1635C22—88no—
1636C22C2×#53914yes—
1637C22C23×#4111yescharacteristic
1638C22C22×H(5,𝔽2)11yescharacteristic
1639C22C22×2−1+411yescharacteristic
1640C22C22×2−1+411yescharacteristic
1641C22C2×#58511yescharacteristic
1642C22H(7,𝔽2)11yescharacteristic
1643C222−1+611yescharacteristic
1644C4—22no—
1645C4—28no—
1646C4—22no—
1647C4—22no—
1648C4—42no—
1649C4—41no—
1650C4—42no—
1651C4—41no—
1652C4—41no—
1653C4—44no—
1654C4—44no—
1655C4—42no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—44no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—41no—
1667C4—41no—
1668C4—42no—
1669C4—42no—
1670C4—41no—
1671C4—42no—
1672C4—41no—
1673C4C2×#53914yes—
1674C4C2×#53914yes—
1675C2—24no—
1676C2—42no—
1677C2—82no—
1678C2—81no—
1679C2C22×#53911yescharacteristic
1680C2#6283511yescharacteristic
1681C2#6287811yescharacteristic
1682C2#6292811yescharacteristic
1683C2#6294511yescharacteristic
1684C2#6299811yescharacteristic
1685C2#6300611yescharacteristic
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. #42868C2semidirect
3. #42865C2semidirect
4. #42863C2semidirect
5. #42854C2semidirect
6. #42849C2semidirect
7. #42836C2semidirect
8. #42833C2semidirect
9. #41974C2semidirect
10. #41965C2semidirect
11. #40195C2semidirect
12. #40124C2semidirect
13. #40123C2semidirect
14. #40099C2semidirect
15. #39791C2semidirect
16. #39662C2semidirect
17. #39658C2semidirect
18. #39214C2semidirect
19. #38403C2semidirect
20. #38400C2semidirect
21. #35668C2semidirect
23. #35575C2semidirect
24. #35557C2semidirect
25. #35543C2semidirect
27. #35286C2semidirect
28. #35253C2semidirect
29. #35182C2semidirect
30. #34814C2semidirect
32. C2×#2423C2semidirect
33. #34276C2semidirect
34. #34203C2semidirect
35. #34182C2semidirect
45. #2859C22semidirect
46. #2859C22semidirect
50. #2839C22semidirect
53. #2836C22semidirect
54. #2809C22semidirect
56. #2802C22semidirect
57. #2802C22semidirect
59. #2794C22semidirect
61. #2792C22semidirect
62. #2790C22semidirect
63. #2787C22semidirect
66. #2783C22semidirect
68. #2777C22semidirect
69. #2775C22semidirect
72. #2767C22semidirect
73. #2767C22semidirect
74. #2765C22semidirect
78. #2726C22semidirect
79. #2721C22semidirect
85. #2689C22semidirect
87. #2667C22semidirect
88. #2666C22semidirect
90. #2664C22semidirect
92. #2655C22semidirect
93. #2655C22semidirect
96. #2650C22semidirect
98. #2647C22semidirect
99. #2647C22semidirect
104. #2596C22semidirect
105. #2590C22semidirect
106. #2588C22semidirect
107. #2585C22semidirect
109. #2575C22semidirect
110. #2571C22semidirect
111. #2571C22semidirect
112. #2571C22semidirect
113. #2570C22semidirect
114. #2570C22semidirect
115. #2568C22semidirect
116. #2567C22semidirect
117. #2565C22semidirect
118. #2565C22semidirect
123. #2556C22semidirect
125. #2552C22semidirect
126. #2552C22semidirect
127. #2552C22semidirect
132. #2512C22semidirect
133. #2512C22semidirect
134. #2511C22semidirect
135. #2511C22semidirect
136. #2509C22semidirect
137. #2508C22semidirect
138. #2507C22semidirect
139. #2506C22semidirect
153. #2497C22semidirect
154. #2497C22semidirect
157. #2496C22semidirect
158. #2496C22semidirect
174. #2454C22semidirect
175. #2453C22semidirect
176. #2453C22semidirect
177. #2453C22semidirect
178. #2452C22semidirect
179. #2451C22semidirect
180. #2451C22semidirect
181. #2451C22semidirect
182. #2448C22semidirect
183. #2448C22semidirect
184. #2446C22semidirect
185. #2446C22semidirect
189. #2442C22semidirect
191. #2441C22semidirect
193. #2440C22semidirect
195. #2439C22semidirect
213. #2423C22semidirect
214. #2423C22semidirect
217. #2421C22semidirect
218. #2421C22semidirect
235. #2362C22semidirect
236. #2362C22semidirect
239. #2360C22semidirect
240. #2360C22semidirect
243. #2351C22semidirect
244. #2351C22semidirect
245. #2351C22semidirect
246. #2351C22semidirect
247. Q8×C4⋊C4C22semidirect
248. Q8×C4⋊C4C22semidirect
249. Q8×C4⋊C4C22semidirect
250. Q8×C4⋊C4C22semidirect
253. #2336C22semidirect
256. #2334C22semidirect
257. #2327C22semidirect
258. #2326C22semidirect
272. C4×C4⋊Q8C22semidirect
275. C4×#124C22semidirect

Maximal subgroups

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

subgroupindex
#429052
#428682
#428652
#428632
#428542
#428492
#428362
#428332
#419742
#419652
#401952
#401242
#401232
#400992
#397912
#396622
#396582
#392142
#384032
#384002
#356682
#356612
#355752
#355572
#355432
#355162
#352862
#352532
#351822
#348142
#348102
C2×#24232
#342762
#342032
#341822