Finite Group Databasebeta

← #7652169

Subgroups — #7652169

Order 512.

4737 conjugacy classes of subgroups.

The subgroup lattice has 1707 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42770C212yesmaximal, complemented
2#42762C212yesmaximal, complemented
3#42735C212yesmaximal, complemented
4#42692C212yesmaximal, complemented
5#42691C212yesmaximal, complemented
6#42558C212yesmaximal, complemented
7#42513C212yesmaximal, complemented
8#42512C212yesmaximal, complemented
9#41471C214yesmaximal, complemented
10#40843C214yesmaximal, complemented
11#40151C212yesmaximal, complemented
12#40071C212yesmaximal, complemented
13#40001C212yesmaximal, complemented
14#40001C212yesmaximal, complemented
15#39761C212yesmaximal, complemented
16#39665C212yesmaximal, complemented
17#39633C212yesmaximal, complemented
18#39247C212yesmaximal, complemented
19#38598C214yesmaximal, complemented
20#38514C214yesmaximal, complemented
21#35662C211yesmaximal, characteristic, complemented
22#35661C211yesmaximal, characteristic
23#35628C211yesmaximal, characteristic, complemented
24#35619C211yesmaximal, characteristic, complemented
25#35574C211yesmaximal, characteristic, complemented
26#35544C211yesmaximal, characteristic, complemented
27#35311C211yesmaximal, characteristic, complemented
28#35281C211yesmaximal, characteristic, complemented
29#35160C211yesmaximal, characteristic, complemented
30#34813C211yesmaximal, characteristic
31C2×#2492C211yesmaximal, characteristic, complemented
32#34739C211yesmaximal, characteristic, complemented
33#34254C211yesmaximal, characteristic, complemented
34#34213C211yesmaximal, characteristic, complemented
35#34202C211yesmaximal, characteristic
36C2×#536C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×C4⋊Q8C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#519C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2868C2212yescomplemented
46#2862C2212yescomplemented
47#2855C2212yes—
48#2855C2212yes—
49#2852C2214yes—
50#2839C2214yescomplemented
51#2838C2214yes—
52#2831C2214yescomplemented
53#2830C2214yes—
54#2799C2214yescomplemented
55#2799C2214yescomplemented
56#2793C2214yes—
57#2793C2214yescomplemented
58#2790C2214yes—
59#2790C2214yescomplemented
60#2775C2214yes—
61#2774C2214yescomplemented
62#2772C2214yescomplemented
63#2770C2214yes—
64#2767C2214yescomplemented
65#2766C2214yescomplemented
66#2764C2214yescomplemented
67#2763C2214yes—
68#2762C2214yescomplemented
69#2762C2214yescomplemented
70#2761C2214yes—
71#2759C2214yescomplemented
72#2758C2214yescomplemented
73#2757C2214yes—
74#2754C2214yes—
75#2751C2214yes—
76#2751C2214yes—
77#2737C2214yes—
78#2729C2214yes—
79#2729C2214yescomplemented
80#2723C2214yes—
81#2716C2214yes—
82#2716C2214yescomplemented
83#2700C2214yes—
84#2700C2214yes—
85#2698C2214yescomplemented
86#2666C2214yescomplemented
87#2665C2214yes—
88#2660C2212yescomplemented
89#2660C2212yescomplemented
90#2655C2214yescomplemented
91#2652C2214yescomplemented
92#2651C2214yes—
93#2650C2214yes—
94#2650C2214yescomplemented
95#2650C2214yescomplemented
96#2647C2214yescomplemented
97#2643C2214yes—
98#2640C2214yes—
99#2638C2214yes—
100#2637C2214yes—
101#2625C2212yes—
102#2625C2212yes—
103#2592C2212yescomplemented
104#2592C2212yescomplemented
105#2582C2212yescomplemented
106#2582C2212yescomplemented
107#2581C2212yescomplemented
108#2581C2212yescomplemented
109#2579C2214yes—
110#2568C2212yescomplemented
111#2568C2212yescomplemented
112#2567C2212yescomplemented
113#2567C2212yescomplemented
114#2546C2212yescomplemented
115#2546C2212yescomplemented
116#2538C2212yes—
117#2538C2212yes—
118#2536C2212yes—
119#2536C2212yes—
120#2532C2214yes—
121#2532C2214yescomplemented
122#2527C2214yes—
123#2527C2214yescomplemented
124#2520C2214yescomplemented
125#2515C2214yes—
126#2514C2212yescomplemented
127#2513C2212yescomplemented
128#2512C2214yes—
129#2512C2212yescomplemented
130#2511C2212yescomplemented
131#2511C2214yescomplemented
132#2503C2212yes—
133#2503C2212yescomplemented
134#2502C2212yes—
135#2502C2214yes—
136#2502C2212yescomplemented
137#2499C2212yes—
138#2499C2212yes—
139#2499C2212yescomplemented
140#2499C2212yescomplemented
141#2497C2212yes—
142#2497C2212yes—
143#2497C2212yescomplemented
144#2496C2212yes—
145#2496C2212yes—
146#2496C2212yescomplemented
147#2495C2212yes—
148#2495C2212yes—
149#2495C2212yescomplemented
150#2494C2212yes—
151#2494C2212yes—
152#2494C2212yescomplemented
153#2493C2214yes—
154#2492C2212yes—
155#2492C2212yes—
156#2492C2212yes—
157#2492C2211yescharacteristic
158#2492C2212yes—
159#2492C2212yes—
160#2492C2212yes—
161#2492C2212yes—
162#2492C2212yes—
163#2492C2211yescharacteristic
164#2492C2212yescomplemented
165#2492C2212yescomplemented
166#2491C2211yescharacteristic
167#2491C2211yescharacteristic
168#2490C2211yescharacteristic
169#2490C2211yescharacteristic
170#2489C2211yescharacteristic
171#2489C2211yescharacteristic
172#2489C2212yescomplemented
173#2489C2212yescomplemented
174#2488C2214yes—
175#2488C2214yes—
176#2488C2212yes—
177#2488C2212yes—
178#2484C2214yes—
179#2483C2214yes—
180#2480C2214yes—
181#2472C2212yes—
182#2472C2212yes—
183#2468C2214yes—
184#2465C2214yescomplemented
185#2453C2212yescomplemented
186#2453C2212yescomplemented
187#2452C2214yes—
188#2452C2212yescomplemented
189#2452C2212yescomplemented
190#2451C2212yescomplemented
191#2451C2212yescomplemented
192#2451C2212yescomplemented
193#2451C2214yescomplemented
194#2451C2212yescomplemented
195#2447C2212yescomplemented
196#2447C2212yescomplemented
197#2446C2212yescomplemented
198#2446C2212yescomplemented
199#2442C2211yescharacteristic
200#2442C2211yescharacteristic
201#2441C2211yescharacteristic
202#2441C2211yescharacteristic
203#2440C2211yescharacteristic
204#2440C2211yescharacteristic
205#2440C2212yescomplemented
206#2440C2212yescomplemented
207#2439C2211yescharacteristic
208#2439C2211yescharacteristic
209#2439C2212yescomplemented
210#2439C2212yescomplemented
211#2438C2214yes—
212#2438C2214yes—
213#2438C2212yes—
214#2438C2212yes—
215#2437C2212yes—
216#2437C2212yes—
217#2434C2214yes—
218#2429C2212yes—
219#2429C2212yes—
220#2426C2212yes—
221#2426C2212yes—
222#2419C2214yes—
223#2419C2214yes—
224#2413C2214yes—
225#2411C2214yes—
226#2409C2214yes—
227#2398C2212yes—
228#2398C2212yes—
229#2396C2212yes—
230#2396C2212yes—
231C2×#400C2212yes—
232C2×#393C2212yes—
233#2370C2212yescomplemented
234#2370C2212yescomplemented
235#2369C2212yescomplemented
236#2365C2212yescomplemented
237#2359C2214yes—
238#2358C2214yes—
239#2356C2212yescomplemented
240#2356C2212yescomplemented
241#2355C2212yescomplemented
242#2355C2212yescomplemented
243#2355C2212yescomplemented
244#2355C2212yescomplemented
245#2355C2212yescomplemented
246#2354C2212yes—
247#2352C2212yes—
248#2352C2212yes—
249Q8×C4⋊C4C2212yescomplemented
250D4×C4⋊C4C2212yes—
251#2343C2214yes—
252#2343C2214yes—
253#2332C2214yes—
254#2332C2214yescomplemented
255#2331C2214yescomplemented
256#2329C2214yes—
257#2326C2214yes—
258#2324C2212yes—
259#2323C2212yes—
260#2320C2212yescomplemented
261#2320C2212yescomplemented
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2317C2211yescharacteristic
266#2317C2211yescharacteristic
267#2317C2211yescharacteristic
268#2316C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2310C2211yescharacteristic
272#2310C2211yescharacteristic
273C4×#124C2212yes—
274C4×#124C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2214yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×#121C2212yes—
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284#2295C2212yescomplemented
285#2295C2212yescomplemented
286C2×#391C2211yescharacteristic
287C2×#391C2211yescharacteristic
288C2×#391C2212yes—
289C2×#388C2212yes—
290#2285C2211yescharacteristic
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293C2×#380C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C23×Q8C2312yes—
302C24×C4C2311yescharacteristic
303#536—44no—
304#533—28no—
305#533—44no—
306C2×C4⋊Q8—44no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2311yescharacteristic
323C2×#125C2311yescharacteristic
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327#525—28no—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×C22⋊Q8—44no—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2314yes—
347C2×#121C2311yescharacteristic
348C2×#121C2311yescharacteristic
349C2×#120C2312yes—
350#520—44no—
351#519—28no—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2314yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×#117—44no—
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2314yes—
375C2×#117C2312yes—
376C2×#117C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2311yescharacteristic
379C2×#117C2312yes—
380C2×#117C2311yescharacteristic
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2312yes—
389C22×C22⋊C4C2311yescharacteristic
390C22×C22⋊C4C2312yes—
391C22×C22⋊C4C2311yescharacteristic
392C22×C22⋊C4C2312yes—
393C22×C22⋊C4C2312yes—
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396C22×C42C2312yes—
397C22×C42C2312yes—
398#401C2314yes—
399#401C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#400C2312yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2312yes—
421#400C2314yes—
422#400C2312yes—
423#400C2312yes—
424#400C2312yes—
425#400C2314yes—
426#399C2312yes—
427#399C2312yes—
428#398C2314yes—
429#398C2312yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2312yes—
444#398C2314yes—
445#398C2312yes—
446#398C2312yes—
447#398C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2312yes—
467#397C2312yes—
468#396C2312yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#396C2312yes—
476#396C2312yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2312yes—
489#395C2312yes—
490#394C2312yes—
491#394C2314yes—
492#394C2312yes—
493#394C2314yes—
494#394C2312yes—
495#394C2312yes—
496#393C2314yes—
497#393C2314yes—
498#393C2312yes—
499#393C2314yes—
500#393C2314yes—
501#393C2312yes—
502#393C2314yes—
503#393C2312yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2312yes—
508#393C2312yes—
509#393C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2314yes—
521#391C2314yes—
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#391C2314yes—
525#391C2314yes—
526#391C2312yes—
527#391C2312yes—
528#391C2314yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2314yes—
533#391C2314yes—
534#391C2314yes—
535#391C2312yes—
536#391C2314yes—
537#391C2314yes—
538#391C2314yes—
539#391C2314yes—
540#391C2314yes—
541#391C2314yes—
542#391C2314yes—
543#391C2312yes—
544#391C2311yescharacteristic
545#391C2311yescharacteristic
546#391C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2314yes—
550#391C2314yes—
551#391C2312yes—
552#391C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2314yes—
557#390C2311yescharacteristic
558#390C2311yescharacteristic
559#390C2314yes—
560#390C2311yescharacteristic
561#390C2311yescharacteristic
562#390C2312yes—
563#390C2312yes—
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#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2314yes—
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2314yes—
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2312yes—
595#389C2312yes—
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2312yes—
618#388C2314yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2314yes—
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#387C2314yes—
648#387C2314yes—
649#387C2312yes—
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#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
671#386C2314yes—
672#386C2312yes—
673#386C2314yes—
674#386C2312yes—
675#386C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2312yes—
695#385C2314yes—
696#385C2312yes—
697#385C2312yes—
698#384C2314yes—
699#384C2314yes—
700#384C2312yes—
701#384C2312yes—
702#384C2312yes—
703#384C2312yes—
704#384C2312yes—
705#384C2312yes—
706#384C2311yescharacteristic
707#384C2311yescharacteristic
708#383C2314yes—
709#383C2314yes—
710#383C2314yes—
711#383C2314yes—
712#382C2314yes—
713#382C2314yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2314yes—
721#382C2314yes—
722#382C2312yes—
723#382C2311yescharacteristic
724#382C2311yescharacteristic
725#382C2312yes—
726#381C2314yes—
727#381C2314yes—
728#381C2314yes—
729#381C2314yes—
730#381C2314yes—
731#381C2314yes—
732#381C2312yes—
733#381C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739#380C2312yes—
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2312yes—
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2312yes—
755#379C2312yes—
756#379C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807#376C2312yes—
808#376C2314yes—
809#376C2314yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
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—24no—
826C22×Q8—44no—
827C22×Q8—44no—
828C22×Q8—82no—
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×Q8C2412yes—
836C22×Q8C2414yes—
837C22×Q8C2414yes—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C23×C4—24no—
843C23×C4—24no—
844C23×C4—24no—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2414yes—
862C23×C4C2411yescharacteristic
863C4⋊Q8—24no—
864C4⋊Q8—24no—
865C4⋊Q8—44no—
866C4⋊Q8—44no—
867C4⋊Q8—44no—
868C4⋊Q8—44no—
869C4⋊Q8—42no—
870C4⋊Q8—42no—
871C4⋊Q8—48no—
872C4⋊Q8—44no—
873C4⋊Q8—84no—
874#126—84no—
875#126—84no—
876#125—24no—
877#125—24no—
878#125—42no—
879#125—42no—
880#124—28no—
881#124—44no—
882#124—44no—
883#123—28no—
884#123—48no—
885C22⋊Q8—24no—
886C22⋊Q8—24no—
887C22⋊Q8—28no—
888C22⋊Q8—28no—
889C22⋊Q8—28no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—48no—
894C22⋊Q8—44no—
895C22⋊Q8—44no—
896C22⋊Q8—44no—
897C22⋊Q8—44no—
898C22⋊Q8—44no—
899C22⋊Q8—44no—
900C22⋊Q8—84no—
901#121—24no—
902#121—24no—
903#120—28no—
904C4×Q8—28no—
905C4×Q8—28no—
906C4×Q8—28no—
907C4×Q8—28no—
908C4×Q8—28no—
909C4×Q8—28no—
910C4×Q8—44no—
911C4×Q8—44no—
912C4×Q8—44no—
913C4×Q8—84no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—44no—
917C4×D4—48no—
918C4×D4—84no—
919#117—24no—
920#117—24no—
921#117—24no—
922#117—24no—
923#117—24no—
924#117—24no—
925#117—216no—
926#117—44no—
927#117—44no—
928#117—42no—
929#117—42no—
930#117—44no—
931#117#4118yes—
932C2×C4⋊C4—24no—
933C2×C4⋊C4—24no—
934C2×C4⋊C4—24no—
935C2×C4⋊C4—42no—
936C2×C4⋊C4—42no—
937C2×C4⋊C4—44no—
938C2×C4⋊C4—44no—
939C2×C4⋊C4—44no—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C22⋊C4—24no—
1012C2×C22⋊C4—42no—
1013C2×C22⋊C4—44no—
1014C2×C22⋊C4—44no—
1015C2×C22⋊C4—82no—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1064C2×C42—24no—
1065C2×C42—24no—
1066C2×C42—44no—
1067C2×C42—82no—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180C24—22no—
1181C24—22no—
1182C24—22no—
1183C24—22no—
1184C24—41no—
1185C24—41no—
1186C24—41no—
1187C24C2511yescharacteristic
1188C24C2512yes—
1189C24C2511yescharacteristic
1190C24C2511yescharacteristic
1191#41—416no—
1192C2×Q8—24no—
1193C2×Q8—24no—
1194C2×Q8—24no—
1195C2×Q8—22no—
1196C2×Q8—24no—
1197C2×Q8—22no—
1198C2×Q8—24no—
1199C2×Q8—24no—
1200C2×Q8—24no—
1201C2×Q8—24no—
1202C2×Q8—24no—
1203C2×Q8—22no—
1204C2×Q8—24no—
1205C2×Q8—24no—
1206C2×Q8—28no—
1207C2×Q8—42no—
1208C2×Q8—42no—
1209C2×Q8—42no—
1210C2×Q8—44no—
1211C2×Q8—42no—
1212C2×Q8—44no—
1213C2×Q8—44no—
1214C2×Q8—42no—
1215C2×Q8—44no—
1216C2×Q8—44no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—416no—
1220C2×Q8—816no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—22no—
1227C2×D4—24no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—24no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—24no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—22no—
1265C22×C4—41no—
1266C22×C4—42no—
1267C22×C4—41no—
1268C22×C4—42no—
1269C22×C4—41no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—41no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—41no—
1280C22×C4—42no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—416no—
1285C22×C4C2×#4114yes—
1286C22×C4H(5,𝔽2)14yes—
1287C22×C42−1+414yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2514yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2514yes—
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2514yes—
1308C22×C4C2512yes—
1309C22×C4C2514yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—28no—
1322C4⋊C4—28no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4C2×#4114yes—
1389C4⋊C4C2×#4114yes—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—22no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—24no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4C2×#4118yes—
1437C22⋊C42−1+414yes—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—22no—
1442C42—24no—
1443C42—28no—
1444C42—28no—
1445C42—24no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—24no—
1451C42—24no—
1452C42—24no—
1453C42—24no—
1454C42—24no—
1455C42—24no—
1456C42—42no—
1457C42—42no—
1458C42—44no—
1459C42—44no—
1460C42—42no—
1461C42—44no—
1462C42—44no—
1463C42—44no—
1464C42—44no—
1465C42—44no—
1466C42—42no—
1467C42C2×#4118yes—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—22no—
1480C23—21no—
1481C23—22no—
1482C23—22no—
1483C23—21no—
1484C23—21no—
1485C23—22no—
1486C23—22no—
1487C23—21no—
1488C23—21no—
1489C23—22no—
1490C23—22no—
1491C23—21no—
1492C23—44no—
1493C23—44no—
1494C23—44no—
1495C23—44no—
1496C23—82no—
1497C23—82no—
1498C23—82no—
1499C23C22×#4112yes—
1500C23C2×H(5,𝔽2)12yes—
1501C23C2×2−1+412yes—
1502C23C2×2−1+412yes—
1503C23C2611yescharacteristic
1504Q8—48no—
1505Q8—48no—
1506Q8—48no—
1507Q8—44no—
1508Q8—84no—
1509Q8—84no—
1510Q8—84no—
1511Q8—88no—
1512Q8—88no—
1513D4—48no—
1514D4—48no—
1515D4—44no—
1516D4—84no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—24no—
1550C2×C4—24no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—24no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—44no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—48no—
1603C2×C4—44no—
1604C2×C4—48no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—48no—
1610C2×C4—82no—
1611C2×C4—84no—
1612C2×C4—84no—
1613C2×C4—84no—
1614C2×C4—84no—
1615C2×C4—164no—
1616C2×C4#542116yes—
1617C2×C4C22×#4114yes—
1618C2×C4C22×#4114yes—
1619C2×C4C22×#4112yes—
1620C2×C4C22×#4112yes—
1621C2×C4C2×H(5,𝔽2)12yes—
1622C2×C4C2×H(5,𝔽2)12yes—
1623C2×C4C2×2−1+412yes—
1624C2×C4C2×2−1+412yes—
1625C2×C4C2×2−1+412yes—
1626C2×C4C2×2−1+412yes—
1627C2×C4#58512yes—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—42no—
1642C22—41no—
1643C22—41no—
1644C22—42no—
1645C22—42no—
1646C22—41no—
1647C22—42no—
1648C22—41no—
1649C22—42no—
1650C22—41no—
1651C22—41no—
1652C22—42no—
1653C22—42no—
1654C22—41no—
1655C22—88no—
1656C22C2×#54214yes—
1657C22C23×#4111yescharacteristic
1658C22C22×H(5,𝔽2)11yescharacteristic
1659C22C22×2−1+411yescharacteristic
1660C22C22×2−1+411yescharacteristic
1661C22C2×#58511yescharacteristic
1662C22H(7,𝔽2)11yescharacteristic
1663C222−1+611yescharacteristic
1664C4—22no—
1665C4—24no—
1666C4—24no—
1667C4—22no—
1668C4—22no—
1669C4—42no—
1670C4—41no—
1671C4—42no—
1672C4—42no—
1673C4—41no—
1674C4—41no—
1675C4—42no—
1676C4—42no—
1677C4—42no—
1678C4—44no—
1679C4—44no—
1680C4—41no—
1681C4—42no—
1682C4—44no—
1683C4—42no—
1684C4—42no—
1685C4—41no—
1686C4—41no—
1687C4—42no—
1688C4—44no—
1689C4—41no—
1690C4—42no—
1691C4—42no—
1692C4—42no—
1693C4C2×#54214yes—
1694C4C2×#54214yes—
1695C2—24no—
1696C2—42no—
1697C2—82no—
1698C2—81no—
1699C2C22×#54211yescharacteristic
1700C2#6283711yescharacteristic
1701C2#6287911yescharacteristic
1702C2#6292411yescharacteristic
1703C2#6294211yescharacteristic
1704C2#6300011yescharacteristic
1705C2#6300911yescharacteristic
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. #42770C2semidirect
2. #42762C2semidirect
3. #42735C2semidirect
4. #42692C2semidirect
5. #42691C2semidirect
6. #42558C2semidirect
7. #42513C2semidirect
8. #42512C2semidirect
9. #41471C2semidirect
10. #40843C2semidirect
11. #40151C2semidirect
12. #40071C2semidirect
13. #40001C2semidirect
14. #40001C2semidirect
15. #39761C2semidirect
16. #39665C2semidirect
17. #39633C2semidirect
18. #39247C2semidirect
19. #38598C2semidirect
20. #38514C2semidirect
21. #35662C2semidirect
23. #35628C2semidirect
24. #35619C2semidirect
25. #35574C2semidirect
26. #35544C2semidirect
27. #35311C2semidirect
28. #35281C2semidirect
29. #35160C2semidirect
31. C2×#2492C2semidirect
32. #34739C2semidirect
33. #34254C2semidirect
34. #34213C2semidirect
45. #2868C22semidirect
46. #2862C22semidirect
50. #2839C22semidirect
52. #2831C22semidirect
54. #2799C22semidirect
55. #2799C22semidirect
57. #2793C22semidirect
59. #2790C22semidirect
61. #2774C22semidirect
62. #2772C22semidirect
64. #2767C22semidirect
65. #2766C22semidirect
66. #2764C22semidirect
68. #2762C22semidirect
69. #2762C22semidirect
71. #2759C22semidirect
72. #2758C22semidirect
79. #2729C22semidirect
82. #2716C22semidirect
85. #2698C22semidirect
86. #2666C22semidirect
88. #2660C22semidirect
89. #2660C22semidirect
90. #2655C22semidirect
91. #2652C22semidirect
94. #2650C22semidirect
95. #2650C22semidirect
96. #2647C22semidirect
103. #2592C22semidirect
104. #2592C22semidirect
105. #2582C22semidirect
106. #2582C22semidirect
107. #2581C22semidirect
108. #2581C22semidirect
110. #2568C22semidirect
111. #2568C22semidirect
112. #2567C22semidirect
113. #2567C22semidirect
114. #2546C22semidirect
115. #2546C22semidirect
121. #2532C22semidirect
123. #2527C22semidirect
124. #2520C22semidirect
126. #2514C22semidirect
127. #2513C22semidirect
129. #2512C22semidirect
130. #2511C22semidirect
131. #2511C22semidirect
133. #2503C22semidirect
136. #2502C22semidirect
139. #2499C22semidirect
140. #2499C22semidirect
143. #2497C22semidirect
146. #2496C22semidirect
149. #2495C22semidirect
152. #2494C22semidirect
164. #2492C22semidirect
165. #2492C22semidirect
172. #2489C22semidirect
173. #2489C22semidirect
184. #2465C22semidirect
185. #2453C22semidirect
186. #2453C22semidirect
188. #2452C22semidirect
189. #2452C22semidirect
190. #2451C22semidirect
191. #2451C22semidirect
192. #2451C22semidirect
193. #2451C22semidirect
194. #2451C22semidirect
195. #2447C22semidirect
196. #2447C22semidirect
197. #2446C22semidirect
198. #2446C22semidirect
205. #2440C22semidirect
206. #2440C22semidirect
209. #2439C22semidirect
210. #2439C22semidirect
233. #2370C22semidirect
234. #2370C22semidirect
235. #2369C22semidirect
236. #2365C22semidirect
239. #2356C22semidirect
240. #2356C22semidirect
241. #2355C22semidirect
242. #2355C22semidirect
243. #2355C22semidirect
244. #2355C22semidirect
245. #2355C22semidirect
249. Q8×C4⋊C4C22semidirect
254. #2332C22semidirect
255. #2331C22semidirect
260. #2320C22semidirect
261. #2320C22semidirect
284. #2295C22semidirect
285. #2295C22semidirect

Maximal subgroups

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

subgroupindex
#427702
#427622
#427352
#426922
#426912
#425582
#425132
#425122
#414712
#408432
#401512
#400712
#400012
#397612
#396652
#396332
#392472
#385982
#385142
#356622
#356612
#356282
#356192
#355742
#355442
#353112
#352812
#351602
#348132
C2×#24922
#347392
#342542
#342132
#342022