Finite Group Databasebeta

← #7681108

Subgroups — #7681108

Order 512.

5539 conjugacy classes of subgroups.

The subgroup lattice has 1789 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59488C212yesmaximal, complemented
2#59482C212yesmaximal, complemented
3#59479C212yesmaximal, complemented
4#59477C212yesmaximal, complemented
5#59373C214yesmaximal, complemented
6#59372C214yesmaximal, complemented
7#45340C212yesmaximal, complemented
8#45182C212yesmaximal, complemented
9#45082C212yesmaximal, complemented
10#45081C212yesmaximal, complemented
11#43342C214yesmaximal, complemented
12#43306C214yesmaximal, complemented
13#39566C212yesmaximal, complemented
14#39561C212yesmaximal, complemented
15#37971C212yesmaximal, complemented
16#37968C212yesmaximal, complemented
17#37856C212yesmaximal, complemented
18#37853C212yesmaximal, complemented
19#36207C212yesmaximal, complemented
20#36190C212yesmaximal, complemented
21#35644C211yesmaximal, characteristic, complemented
22#35619C211yesmaximal, characteristic, complemented
23#35544C211yesmaximal, characteristic, complemented
24#35532C211yesmaximal, characteristic, complemented
25#35307C211yesmaximal, characteristic, complemented
26#35305C211yesmaximal, characteristic
27#35257C211yesmaximal, characteristic, complemented
28#34814C211yesmaximal, characteristic, complemented
29C2×#2423C211yesmaximal, characteristic, complemented
30#34266C211yesmaximal, characteristic, complemented
31#34253C211yesmaximal, characteristic, complemented
32#34188C211yesmaximal, characteristic, complemented
33#34175C211yesmaximal, characteristic
34C22⋊C4×#41C211yesmaximal, characteristic
35C4×#536C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#544C2211yescharacteristic, complemented
38C2×#536C2211yescharacteristic
39C2×#536C2211yescharacteristic
40C22×C22⋊Q8C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45C22×C4×Q8C2211yescharacteristic, complemented
46#2857C2212yescomplemented
47#2855C2212yescomplemented
48#2855C2212yescomplemented
49#2851C2212yescomplemented
50#2848C2212yes—
51#2848C2212yes—
52#2796C2214yescomplemented
53#2796C2214yescomplemented
54#2789C2214yescomplemented
55#2762C2214yescomplemented
56#2761C2214yescomplemented
57#2755C2214yescomplemented
58#2755C2214yescomplemented
59#2747C2214yes—
60#2746C2214yescomplemented
61#2746C2214yescomplemented
62#2745C2214yescomplemented
63#2744C2214yescomplemented
64#2743C2214yescomplemented
65#2742C2214yes—
66#2740C2214yescomplemented
67#2740C2214yescomplemented
68#2738C2214yescomplemented
69#2738C2214yescomplemented
70#2737C2214yescomplemented
71#2735C2214yes—
72#2735C2214yes—
73#2728C2214yescomplemented
74#2723C2214yescomplemented
75#2723C2214yescomplemented
76#2629C2212yescomplemented
77#2628C2212yescomplemented
78#2625C2212yescomplemented
79#2625C2212yescomplemented
80#2616C2212yes—
81#2616C2212yes—
82#2609C2214yescomplemented
83#2605C2214yescomplemented
84#2601C2214yescomplemented
85#2597C2214yescomplemented
86#2595C2214yescomplemented
87#2588C2214yescomplemented
88#2586C2214yescomplemented
89#2578C2214yescomplemented
90#2577C2214yes—
91#2576C2214yescomplemented
92#2575C2214yescomplemented
93#2574C2214yes—
94#2573C2214yescomplemented
95#2569C2214yescomplemented
96#2567C2212yescomplemented
97#2566C2212yescomplemented
98#2565C2212yescomplemented
99#2561C2214yes—
100#2561C2214yes—
101#2560C2214yescomplemented
102#2542C2212yescomplemented
103#2531C2214yescomplemented
104#2522C2214yes—
105#2522C2214yes—
106#2520C2214yescomplemented
107#2517C2214yes—
108#2516C2214yescomplemented
109#2515C2214yescomplemented
110#2515C2214yescomplemented
111#2505C2214yescomplemented
112#2505C2214yescomplemented
113#2503C2212yescomplemented
114#2503C2214yescomplemented
115#2502C2212yescomplemented
116#2499C2212yescomplemented
117#2499C2212yescomplemented
118#2497C2212yes—
119#2497C2211yescharacteristic
120#2497C2212yes—
121#2497C2211yescharacteristic, complemented
122#2496C2211yescharacteristic
123#2496C2212yescomplemented
124#2496C2211yescharacteristic, complemented
125#2496C2212yescomplemented
126#2495C2212yes—
127#2495C2211yescharacteristic
128#2495C2212yescomplemented
129#2495C2211yescharacteristic, complemented
130#2494C2212yes—
131#2494C2211yescharacteristic
132#2494C2212yescomplemented
133#2494C2211yescharacteristic, complemented
134#2493C2212yescomplemented
135#2493C2214yescomplemented
136#2493C2214yescomplemented
137#2493C2212yescomplemented
138#2492C2212yes—
139#2492C2212yes—
140#2492C2212yescomplemented
141#2492C2212yescomplemented
142#2489C2212yes—
143#2489C2212yes—
144#2489C2212yescomplemented
145#2489C2212yescomplemented
146#2482C2214yes—
147#2482C2214yes—
148#2480C2212yes—
149#2480C2214yes—
150#2480C2214yes—
151#2480C2212yes—
152#2479C2214yescomplemented
153#2479C2214yescomplemented
154#2477C2214yescomplemented
155#2454C2212yescomplemented
156#2453C2212yescomplemented
157#2452C2212yescomplemented
158#2451C2212yescomplemented
159#2450C2214yescomplemented
160#2449C2214yescomplemented
161#2449C2214yescomplemented
162#2449C2214yescomplemented
163#2447C2212yescomplemented
164#2447C2212yescomplemented
165#2447C2212yescomplemented
166#2447C2212yescomplemented
167#2446C2212yescomplemented
168#2446C2212yescomplemented
169#2446C2212yescomplemented
170#2446C2212yescomplemented
171#2441C2212yescomplemented
172#2441C2212yescomplemented
173#2440C2212yescomplemented
174#2440C2212yescomplemented
175#2438C2214yescomplemented
176#2438C2214yescomplemented
177#2437C2214yes—
178#2435C2212yes—
179#2434C2212yes—
180#2432C2212yes—
181#2432C2212yes—
182#2423C2212yes—
183#2423C2212yes—
184#2423C2212yes—
185#2423C2212yes—
186#2423C2212yescomplemented
187#2423C2212yescomplemented
188#2423C2212yescomplemented
189#2423C2212yescomplemented
190#2419C2214yescomplemented
191#2419C2214yescomplemented
192#2419C2214yescomplemented
193#2419C2214yescomplemented
194#2406C2214yes—
195#2405C2214yes—
196#2401C2212yes—
197#2401C2212yescomplemented
198C2×#399C2212yes—
199C2×#398C2212yescomplemented
200#2373C2214yes—
201#2368C2214yescomplemented
202#2367C2212yescomplemented
203#2367C2212yescomplemented
204#2365C2212yescomplemented
205#2365C2212yescomplemented
206#2362C2212yescomplemented
207#2362C2212yescomplemented
208#2360C2212yescomplemented
209#2360C2212yescomplemented
210#2355C2212yescomplemented
211#2355C2212yescomplemented
212#2354C2212yescomplemented
213#2354C2212yescomplemented
214#2353C2214yescomplemented
215#2352C2214yescomplemented
216#2352C2214yescomplemented
217#2352C2214yescomplemented
218#2347C2212yescomplemented
219#2346C2212yescomplemented
220#2345C2212yescomplemented
221#2344C2212yescomplemented
222#2343C2214yescomplemented
223#2342C2214yes—
224#2341C2212yes—
225#2341C2211yescharacteristic
226#2341C2211yescharacteristic
227Q8×C22⋊C4C2211yescharacteristic
228Q8×C22⋊C4C2212yes—
229Q8×C22⋊C4C2211yescharacteristic
230#2339C2211yescharacteristic
231#2339C2212yes—
232#2339C2211yescharacteristic
233#2339C2212yes—
234#2339C2214yes—
235#2339C2212yes—
236D4×C22⋊C4C2211yescharacteristic
237D4×C22⋊C4C2212yes—
238D4×C22⋊C4C2212yes—
239D4×C22⋊C4C2214yes—
240D4×C22⋊C4C2211yescharacteristic
241D4×C22⋊C4C2212yes—
242#2327C2212yescomplemented
243#2326C2212yescomplemented
244#2323C2212yescomplemented
245#2323C2212yescomplemented
246#2322C2214yescomplemented
247#2322C2214yescomplemented
248#2320C2212yescomplemented
249#2319C2212yescomplemented
250#2317C2211yescharacteristic, complemented
251#2317C2211yescharacteristic, complemented
252#2316C2211yescharacteristic, complemented
253#2314C2212yescomplemented
254#2314C2212yescomplemented
255#2311C2211yescharacteristic
256#2311C2212yes—
257#2311C2212yes—
258#2311C2211yescharacteristic
259#2311C2211yescharacteristic
260#2311C2211yescharacteristic
261#2310C2211yescharacteristic, complemented
262#2310C2211yescharacteristic, complemented
263C4×C4⋊Q8C2212yescomplemented
264C4×#126C2212yes—
265C4×#126C2212yescomplemented
266C4×#124C2212yescomplemented
267C4×C22⋊Q8C2212yescomplemented
268C4×C22⋊Q8C2212yescomplemented
269C4×#123C2214yescomplemented
270C4×#123C2214yescomplemented
271#2297C2211yescharacteristic
272#2297C2212yes—
273#2297C2212yes—
274#2297C2211yescharacteristic
275#2296C2211yescharacteristic, complemented
276#2296C2211yescharacteristic, complemented
277#2295C2212yescomplemented
278C2×#391C2211yescharacteristic, complemented
279#2293C2212yescomplemented
280C2×#389C2211yescharacteristic, complemented
281C2×#388C2212yes—
282C2×#387C2212yescomplemented
283#2285C2211yescharacteristic, complemented
284#2285C2212yescomplemented
285#2285C2212yescomplemented
286C2×#384C2211yescharacteristic, complemented
287#2280C2211yescharacteristic
288#2280C2212yes—
289#2280C2211yescharacteristic
290#2280C2212yes—
291#2280C2211yescharacteristic
292C2×#380C2212yes—
293C2×#380C2211yescharacteristic
294#2274C2211yescharacteristic, complemented
295#2274C2211yescharacteristic, complemented
296C4×#117C2211yescharacteristic, complemented
297C2×C4×C22⋊C4C2212yes—
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41—28no—
300C22×#41—28no—
301C22×#41—44no—
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2311yescharacteristic
305C22×#41C2311yescharacteristic
306C22×#41C2311yescharacteristic
307C22×#41C2311yescharacteristic
308C23×Q8C2311yescharacteristic
309C23×Q8C2311yescharacteristic
310C23×D4C2312yes—
311C23×D4C2311yescharacteristic
312C24×C4C2311yescharacteristic
313C24×C4C2312yes—
314#544—44no—
315#536—28no—
316#536—28no—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×#126C2312yes—
322C2×#126C2312yes—
323C2×#126C2314yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×C22⋊Q8—44no—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343#520—28no—
344#520—44no—
345C4×#41—28no—
346C4×#41—44no—
347C2×C4×Q8—44no—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2314yes—
381C2×#117C2314yes—
382C2×#117C2314yes—
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C22⋊C4C2312yes—
394C22×C22⋊C4C2311yescharacteristic
395C22×C22⋊C4C2312yes—
396C22×C22⋊C4C2311yescharacteristic
397C22×C22⋊C4C2312yes—
398C22×C22⋊C4C2314yes—
399C22×C22⋊C4C2312yes—
400C22×C42C2312yes—
401C22×C42C2311yescharacteristic
402C22×C42C2311yescharacteristic
403C22×C42C2312yes—
404C22×C42C2312yes—
405#401C2314yes—
406#401C2312yes—
407#401C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#400C2312yes—
423#400C2312yes—
424#400C2312yes—
425#400C2312yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2312yes—
459#397C2312yes—
460#397C2312yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2312yes—
469#396C2314yes—
470#396C2312yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#391C2314yes—
486#391C2312yes—
487#391C2312yes—
488#391C2311yescharacteristic
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2314yes—
498#391C2314yes—
499#391C2312yes—
500#391C2312yes—
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#391C2312yes—
504#391C2314yes—
505#391C2312yes—
506#391C2311yescharacteristic
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2314yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#390C2312yes—
515#390C2311yescharacteristic
516#390C2312yes—
517#390C2312yes—
518#390C2314yes—
519#390C2312yes—
520#390C2314yes—
521#390C2312yes—
522#390C2311yescharacteristic
523#390C2312yes—
524#390C2311yescharacteristic
525#390C2311yescharacteristic
526#390C2312yes—
527#390C2312yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2314yes—
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2314yes—
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#387C2312yes—
589#387C2312yes—
590#387C2312yes—
591#387C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2312yes—
638#386C2312yes—
639#386C2312yes—
640#386C2312yes—
641#386C2312yes—
642#386C2312yes—
643#386C2312yes—
644#386C2312yes—
645#386C2312yes—
646#386C2312yes—
647#386C2312yes—
648#386C2312yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2312yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#384C2312yes—
674#384C2312yes—
675#384C2312yes—
676#384C2312yes—
677#384C2312yes—
678#384C2312yes—
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#383C2312yes—
682#383C2312yes—
683#383C2314yes—
684#383C2314yes—
685#382C2312yes—
686#382C2311yescharacteristic
687#382C2311yescharacteristic
688#382C2312yes—
689#382C2314yes—
690#382C2314yes—
691#382C2314yes—
692#382C2314yes—
693#382C2314yes—
694#381C2314yes—
695#381C2314yes—
696#381C2314yes—
697#381C2314yes—
698#381C2312yes—
699#381C2314yes—
700#381C2314yes—
701#381C2312yes—
702#381C2312yes—
703#381C2312yes—
704#381C2314yes—
705#381C2314yes—
706#381C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2311yescharacteristic
713#380C2311yescharacteristic
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2312yes—
725#380C2311yescharacteristic
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#379C2312yes—
745#379C2312yes—
746#379C2312yes—
747#379C2314yes—
748#379C2314yes—
749#379C2314yes—
750#379C2312yes—
751#379C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C22⋊C4C2311yescharacteristic
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2311yescharacteristic
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810#376C2312yes—
811#376C2314yes—
812C2×#95C2312yes—
813C2×#95C2314yes—
814C2×#95C2311yescharacteristic
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2311yescharacteristic
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C43C2312yes—
822C25C2411yescharacteristic
823C25C2412yes—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—28no—
827C2×#41—28no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C2×#41—28no—
833C2×#41—28no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—44no—
837C2×#41—44no—
838C2×#41—42no—
839C2×#41—42no—
840C2×#41—464no—
841C2×#41#4118yes—
842C2×#41#4118yes—
843C22×Q8—24no—
844C22×Q8—24no—
845C22×Q8—24no—
846C22×Q8—24no—
847C22×Q8—24no—
848C22×Q8—42no—
849C22×Q8C2412yes—
850C22×Q8C2412yes—
851C22×Q8C2412yes—
852C22×Q8C2411yescharacteristic
853C22×Q8C2411yescharacteristic
854C22×Q8C2414yes—
855C22×D4—28no—
856C22×D4—28no—
857C22×D4—24no—
858C22×D4—24no—
859C22×D4—42no—
860C22×D4—44no—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2411yescharacteristic
867C22×D4C2411yescharacteristic
868C23×C4—28no—
869C23×C4—28no—
870C23×C4—24no—
871C23×C4—24no—
872C23×C4—24no—
873C23×C4—44no—
874C23×C4C2412yes—
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2411yescharacteristic
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2412yes—
891C23×C4C2411yescharacteristic
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2414yes—
895C23×C4C2412yes—
896C23×C4C2414yes—
897C23×C4C2412yes—
898C23×C4C2411yescharacteristic
899C4⋊Q8—28no—
900C4⋊Q8—28no—
901C4⋊Q8—44no—
902C4⋊Q8—44no—
903#126—28no—
904#126—44no—
905#126—84no—
906#125—44no—
907#125—44no—
908#124—28no—
909#124—28no—
910#123—216no—
911#123—216no—
912C22⋊Q8—28no—
913C22⋊Q8—28no—
914C22⋊Q8—28no—
915C22⋊Q8—28no—
916C22⋊Q8—48no—
917C22⋊Q8—48no—
918C22⋊Q8—44no—
919C22⋊Q8—44no—
920C22⋊Q8—44no—
921C22⋊Q8—44no—
922C22⋊Q8—84no—
923C22⋊Q8—84no—
924C4×Q8—24no—
925C4×Q8—24no—
926C4×Q8—28no—
927C4×Q8—44no—
928C4×Q8—44no—
929C4×Q8—44no—
930C4×Q8—44no—
931C4×Q8—42no—
932C4×Q8—42no—
933C4×Q8—44no—
934C4×D4—28no—
935C4×D4—28no—
936C4×D4—24no—
937C4×D4—24no—
938C4×D4—216no—
939C4×D4—28no—
940C4×D4—42no—
941C4×D4—42no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—48no—
946#117—28no—
947#117—24no—
948#117—28no—
949#117—24no—
950#117—24no—
951#117—24no—
952#117—24no—
953#117—24no—
954#117—44no—
955#117—48no—
956#117—44no—
957#117—84no—
958#117—84no—
959C2×C4⋊C4—28no—
960C2×C4⋊C4—24no—
961C2×C4⋊C4—24no—
962C2×C4⋊C4—24no—
963C2×C4⋊C4—44no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4—44no—
966C2×C4⋊C4—44no—
967C2×C4⋊C4—82no—
968C2×C4⋊C4—82no—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C22⋊C4—24no—
1029C2×C22⋊C4—28no—
1030C2×C22⋊C4—44no—
1031C2×C22⋊C4—42no—
1032C2×C22⋊C4—44no—
1033C2×C22⋊C4—84no—
1034C2×C22⋊C4—82no—
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C42—28no—
1092C2×C42—24no—
1093C2×C42—24no—
1094C2×C42—44no—
1095C2×C42—44no—
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2414yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2414yes—
1116C2×C42C2414yes—
1117C2×C42C2414yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2412yes—
1136#95C2412yes—
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2412yes—
1140#95C2411yescharacteristic
1141#95C2412yes—
1142#95C2411yescharacteristic
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2414yes—
1204C24—22no—
1205C24—24no—
1206C24—24no—
1207C24—22no—
1208C24—22no—
1209C24—22no—
1210C24—24no—
1211C24—41no—
1212C24—42no—
1213C24—41no—
1214C24—42no—
1215C24—42no—
1216C24—41no—
1217C24—42no—
1218C24C2511yescharacteristic
1219C24C2512yes—
1220C24C2512yes—
1221C24C2511yescharacteristic
1222C24C2511yescharacteristic
1223#41—232no—
1224#41—232no—
1225#41—432no—
1226#41—432no—
1227#41—416no—
1228#41—416no—
1229C2×Q8—22no—
1230C2×Q8—22no—
1231C2×Q8—24no—
1232C2×Q8—24no—
1233C2×Q8—24no—
1234C2×Q8—24no—
1235C2×Q8—24no—
1236C2×Q8—24no—
1237C2×Q8—22no—
1238C2×Q8—22no—
1239C2×Q8—24no—
1240C2×Q8—24no—
1241C2×Q8—42no—
1242C2×Q8—44no—
1243C2×Q8—44no—
1244C2×Q8—44no—
1245C2×Q8—416no—
1246C2×Q8—416no—
1247C2×Q8C2×#4114yes—
1248C2×Q8C2×#4114yes—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—432no—
1267C2×D4—416no—
1268C2×D4C2×#4118yes—
1269C2×D4C2×#4118yes—
1270C2×D4C2×#4114yes—
1271C2×D4C2×#4114yes—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—22no—
1289C22×C4—28no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—24no—
1313C22×C4—22no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—41no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—42no—
1324C22×C4—432no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—41no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—44no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—41no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—44no—
1339C22×C4—42no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—416no—
1344C22×C4C2×#4118yes—
1345C22×C4C2×#4118yes—
1346C22×C4C2×#4114yes—
1347C22×C4C2×#4114yes—
1348C22×C4H(5,𝔽2)14yes—
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2512yes—
1360C22×C4C2514yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2514yes—
1365C22×C4C2512yes—
1366C22×C4C2511yescharacteristic
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2514yes—
1370C22×C4C2514yes—
1371C22×C4C2511yescharacteristic
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C4⋊C4—22no—
1380C4⋊C4—24no—
1381C4⋊C4—28no—
1382C4⋊C4—24no—
1383C4⋊C4—22no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—28no—
1393C4⋊C4—28no—
1394C4⋊C4—28no—
1395C4⋊C4—28no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—28no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—44no—
1423C4⋊C4—42no—
1424C4⋊C4—44no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—42no—
1438C22⋊C4—28no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—28no—
1446C22⋊C4—28no—
1447C22⋊C4—28no—
1448C22⋊C4—28no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—22no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—22no—
1457C22⋊C4—24no—
1458C22⋊C4—22no—
1459C22⋊C4—22no—
1460C22⋊C4—24no—
1461C22⋊C4—22no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—41no—
1465C22⋊C4—41no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C42−1+414yes—
1494C42—22no—
1495C42—24no—
1496C42—22no—
1497C42—24no—
1498C42—24no—
1499C42—22no—
1500C42—22no—
1501C42—28no—
1502C42—24no—
1503C42—24no—
1504C42—24no—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—22no—
1509C42—24no—
1510C42—24no—
1511C42—24no—
1512C42—42no—
1513C42—42no—
1514C42—44no—
1515C42—44no—
1516C42—42no—
1517C42—44no—
1518C42—44no—
1519C42—44no—
1520C42—44no—
1521C42—42no—
1522C42—44no—
1523C42—42no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—22no—
1531C23—22no—
1532C23—21no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—21no—
1539C23—22no—
1540C23—22no—
1541C23—21no—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—48no—
1554C23—44no—
1555C23—44no—
1556C23—44no—
1557C23—48no—
1558C23—48no—
1559C23—44no—
1560C23—82no—
1561C23—82no—
1562C23—82no—
1563C23—84no—
1564C23—84no—
1565C23—84no—
1566C23—84no—
1567C23C22×#4114yes—
1568C23C22×#4114yes—
1569C23C22×#4112yes—
1570C23C22×#4112yes—
1571C23C2×H(5,𝔽2)12yes—
1572C23C2×2−1+412yes—
1573C23C2611yescharacteristic
1574Q8—28no—
1575Q8—28no—
1576Q8—48no—
1577Q8—48no—
1578Q8—48no—
1579Q8—164no—
1580D4—216no—
1581D4—216no—
1582D4—28no—
1583D4—28no—
1584D4—48no—
1585D4—48no—
1586D4—48no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—216no—
1598C2×C4—216no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—24no—
1611C2×C4—24no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—24no—
1625C2×C4—24no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—24no—
1642C2×C4—24no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—24no—
1653C2×C4—24no—
1654C2×C4—24no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—24no—
1668C2×C4—48no—
1669C2×C4—44no—
1670C2×C4—48no—
1671C2×C4—44no—
1672C2×C4—48no—
1673C2×C4—44no—
1674C2×C4—48no—
1675C2×C4—48no—
1676C2×C4—44no—
1677C2×C4—48no—
1678C2×C4—44no—
1679C2×C4—44no—
1680C2×C4—44no—
1681C2×C4—44no—
1682C2×C4—84no—
1683C2×C4—84no—
1684C2×C4—88no—
1685C2×C4—82no—
1686C2×C4—84no—
1687C2×C4—84no—
1688C2×C4—84no—
1689C2×C4—164no—
1690C2×C4#551116yes—
1691C2×C4C22×#4114yes—
1692C2×C4C22×#4114yes—
1693C2×C4C22×#4112yes—
1694C2×C4C22×#4112yes—
1695C2×C4C22×#4112yes—
1696C2×C4C22×#4112yes—
1697C2×C4C2×H(5,𝔽2)12yes—
1698C2×C4C2×H(5,𝔽2)12yes—
1699C2×C4C2×2−1+412yes—
1700C2×C4C2×2−1+412yes—
1701C2×C4#58512yes—
1702C22—22no—
1703C22—22no—
1704C22—22no—
1705C22—22no—
1706C22—22no—
1707C22—22no—
1708C22—24no—
1709C22—24no—
1710C22—22no—
1711C22—22no—
1712C22—24no—
1713C22—24no—
1714C22—22no—
1715C22—24no—
1716C22—24no—
1717C22—42no—
1718C22—41no—
1719C22—42no—
1720C22—42no—
1721C22—42no—
1722C22—41no—
1723C22—42no—
1724C22—42no—
1725C22—42no—
1726C22—42no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—88no—
1737C22—816no—
1738C22C2×#55114yes—
1739C22C23×#4111yescharacteristic
1740C22C23×#4111yescharacteristic
1741C22C22×H(5,𝔽2)11yescharacteristic
1742C22C22×2−1+411yescharacteristic
1743C22C2×#58511yescharacteristic
1744C22H(7,𝔽2)11yescharacteristic
1745C222−1+611yescharacteristic
1746C4—22no—
1747C4—22no—
1748C4—22no—
1749C4—24no—
1750C4—24no—
1751C4—42no—
1752C4—42no—
1753C4—41no—
1754C4—42no—
1755C4—42no—
1756C4—41no—
1757C4—42no—
1758C4—42no—
1759C4—42no—
1760C4—42no—
1761C4—44no—
1762C4—42no—
1763C4—41no—
1764C4—42no—
1765C4—41no—
1766C4—41no—
1767C4—44no—
1768C4—44no—
1769C4—42no—
1770C4—42no—
1771C4—41no—
1772C4—41no—
1773C4—44no—
1774C4C2×#55114yes—
1775C4C2×#55114yes—
1776C2—24no—
1777C2—44no—
1778C2—44no—
1779C2—42no—
1780C2—81no—
1781C2C22×#55111yescharacteristic
1782C2#6280511yescharacteristic
1783C2#6285711yescharacteristic
1784C2#6294211yescharacteristic
1785C2#6295511yescharacteristic
1786C2#6299311yescharacteristic
1787C2#6300011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC23×#41C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59488C2semidirect
2. #59482C2semidirect
3. #59479C2semidirect
4. #59477C2semidirect
5. #59373C2semidirect
6. #59372C2semidirect
7. #45340C2semidirect
8. #45182C2semidirect
9. #45082C2semidirect
10. #45081C2semidirect
11. #43342C2semidirect
12. #43306C2semidirect
13. #39566C2semidirect
14. #39561C2semidirect
15. #37971C2semidirect
16. #37968C2semidirect
17. #37856C2semidirect
18. #37853C2semidirect
19. #36207C2semidirect
20. #36190C2semidirect
21. #35644C2semidirect
22. #35619C2semidirect
23. #35544C2semidirect
24. #35532C2semidirect
25. #35307C2semidirect
27. #35257C2semidirect
28. #34814C2semidirect
29. C2×#2423C2semidirect
30. #34266C2semidirect
31. #34253C2semidirect
32. #34188C2semidirect
35. C4×#536C2semidirect
37. C2×#544C22semidirect
45. C22×C4×Q8C22semidirect
46. #2857C22semidirect
47. #2855C22semidirect
48. #2855C22semidirect
49. #2851C22semidirect
52. #2796C22semidirect
53. #2796C22semidirect
54. #2789C22semidirect
55. #2762C22semidirect
56. #2761C22semidirect
57. #2755C22semidirect
58. #2755C22semidirect
60. #2746C22semidirect
61. #2746C22semidirect
62. #2745C22semidirect
63. #2744C22semidirect
64. #2743C22semidirect
66. #2740C22semidirect
67. #2740C22semidirect
68. #2738C22semidirect
69. #2738C22semidirect
70. #2737C22semidirect
73. #2728C22semidirect
74. #2723C22semidirect
75. #2723C22semidirect
76. #2629C22semidirect
77. #2628C22semidirect
78. #2625C22semidirect
79. #2625C22semidirect
82. #2609C22semidirect
83. #2605C22semidirect
84. #2601C22semidirect
85. #2597C22semidirect
86. #2595C22semidirect
87. #2588C22semidirect
88. #2586C22semidirect
89. #2578C22semidirect
91. #2576C22semidirect
92. #2575C22semidirect
94. #2573C22semidirect
95. #2569C22semidirect
96. #2567C22semidirect
97. #2566C22semidirect
98. #2565C22semidirect
101. #2560C22semidirect
102. #2542C22semidirect
103. #2531C22semidirect
106. #2520C22semidirect
108. #2516C22semidirect
109. #2515C22semidirect
110. #2515C22semidirect
111. #2505C22semidirect
112. #2505C22semidirect
113. #2503C22semidirect
114. #2503C22semidirect
115. #2502C22semidirect
116. #2499C22semidirect
117. #2499C22semidirect
121. #2497C22semidirect
123. #2496C22semidirect
124. #2496C22semidirect
125. #2496C22semidirect
128. #2495C22semidirect
129. #2495C22semidirect
132. #2494C22semidirect
133. #2494C22semidirect
134. #2493C22semidirect
135. #2493C22semidirect
136. #2493C22semidirect
137. #2493C22semidirect
140. #2492C22semidirect
141. #2492C22semidirect
144. #2489C22semidirect
145. #2489C22semidirect
152. #2479C22semidirect
153. #2479C22semidirect
154. #2477C22semidirect
155. #2454C22semidirect
156. #2453C22semidirect
157. #2452C22semidirect
158. #2451C22semidirect
159. #2450C22semidirect
160. #2449C22semidirect
161. #2449C22semidirect
162. #2449C22semidirect
163. #2447C22semidirect
164. #2447C22semidirect
165. #2447C22semidirect
166. #2447C22semidirect
167. #2446C22semidirect
168. #2446C22semidirect
169. #2446C22semidirect
170. #2446C22semidirect
171. #2441C22semidirect
172. #2441C22semidirect
173. #2440C22semidirect
174. #2440C22semidirect
175. #2438C22semidirect
176. #2438C22semidirect
186. #2423C22semidirect
187. #2423C22semidirect
188. #2423C22semidirect
189. #2423C22semidirect
190. #2419C22semidirect
191. #2419C22semidirect
192. #2419C22semidirect
193. #2419C22semidirect
197. #2401C22semidirect
199. C2×#398C22semidirect
201. #2368C22semidirect
202. #2367C22semidirect
203. #2367C22semidirect
204. #2365C22semidirect
205. #2365C22semidirect
206. #2362C22semidirect
207. #2362C22semidirect
208. #2360C22semidirect
209. #2360C22semidirect
210. #2355C22semidirect
211. #2355C22semidirect
212. #2354C22semidirect
213. #2354C22semidirect
214. #2353C22semidirect
215. #2352C22semidirect
216. #2352C22semidirect
217. #2352C22semidirect
218. #2347C22semidirect
219. #2346C22semidirect
220. #2345C22semidirect
221. #2344C22semidirect
222. #2343C22semidirect
242. #2327C22semidirect
243. #2326C22semidirect
244. #2323C22semidirect
245. #2323C22semidirect
246. #2322C22semidirect
247. #2322C22semidirect
248. #2320C22semidirect
249. #2319C22semidirect
250. #2317C22semidirect
251. #2317C22semidirect
252. #2316C22semidirect
253. #2314C22semidirect
254. #2314C22semidirect
261. #2310C22semidirect
262. #2310C22semidirect
263. C4×C4⋊Q8C22semidirect
265. C4×#126C22semidirect
266. C4×#124C22semidirect
267. C4×C22⋊Q8C22semidirect
268. C4×C22⋊Q8C22semidirect
269. C4×#123C22semidirect
270. C4×#123C22semidirect
275. #2296C22semidirect
276. #2296C22semidirect
277. #2295C22semidirect
278. C2×#391C22semidirect
279. #2293C22semidirect
280. C2×#389C22semidirect
282. C2×#387C22semidirect
283. #2285C22semidirect
284. #2285C22semidirect
285. #2285C22semidirect
286. C2×#384C22semidirect
294. #2274C22semidirect
295. #2274C22semidirect
296. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#594882
#594822
#594792
#594772
#593732
#593722
#453402
#451822
#450822
#450812
#433422
#433062
#395662
#395612
#379712
#379682
#378562
#378532
#362072
#361902
#356442
#356192
#355442
#355322
#353072
#353052
#352572
#348142
C2×#24232
#342662
#342532
#341882
#341752
C22⋊C4×#412
C4×#5362