Finite Group Databasebeta

← #7657458

Subgroups — #7657458

Order 512.

4768 conjugacy classes of subgroups.

The subgroup lattice has 1654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42626C212yesmaximal, complemented
2#42623C212yesmaximal, complemented
3#42573C212yesmaximal, complemented
4#42569C212yesmaximal, complemented
5#40868C214yesmaximal, complemented
6#40867C214yesmaximal, complemented
7#40760C214yesmaximal, complemented
8#40757C214yesmaximal, complemented
9#39480C211yesmaximal, characteristic, complemented
10#39353C211yesmaximal, characteristic, complemented
11#39203C211yesmaximal, characteristic, complemented
12#39192C211yesmaximal, characteristic, complemented
13#38122C212yesmaximal, complemented
14#38113C212yesmaximal, complemented
15#37850C212yesmaximal, complemented
16#37663C212yesmaximal, complemented
17#37637C211yesmaximal, characteristic, complemented
18#37628C211yesmaximal, characteristic, complemented
19#37504C212yesmaximal, complemented
20#37495C212yesmaximal, complemented
21#36290C211yesmaximal, characteristic, complemented
22#36276C211yesmaximal, characteristic, complemented
23#36154C211yesmaximal, characteristic
24D4×C22⋊Q8C211yesmaximal, characteristic
25#35961C212yesmaximal, complemented
26#35873C212yesmaximal
27#35873C212yesmaximal
28#35858C212yesmaximal, complemented
29#35310C212yesmaximal, complemented
30#35291C211yesmaximal, characteristic, complemented
31#34629C211yesmaximal, characteristic, complemented
32C2×#2625C212yesmaximal, complemented
33#34334C211yesmaximal, characteristic, complemented
34#34332C211yesmaximal, characteristic, complemented
35D4×#117C211yesmaximal, characteristic
36C2×#554C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#541C2212yes—
39C22×C22⋊Q8C2212yes—
40C22×C4×D4C2211yescharacteristic
41C22×#117C2212yes—
42#2862C2211yescharacteristic, complemented
43#2859C2211yescharacteristic, complemented
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2212yescomplemented
47#2851C2212yescomplemented
48#2848C2212yes—
49#2848C2212yes—
50#2839C2214yescomplemented
51#2836C2214yescomplemented
52#2836C2214yescomplemented
53#2833C2214yescomplemented
54#2831C2214yescomplemented
55#2831C2214yescomplemented
56#2802C2214yescomplemented
57#2798C2214yescomplemented
58#2798C2214yescomplemented
59#2789C2214yescomplemented
60#2783C2214yescomplemented
61#2776C2214yescomplemented
62#2772C2214yescomplemented
63#2762C2214yescomplemented
64#2758C2214yescomplemented
65#2754C2214yescomplemented
66#2754C2214yescomplemented
67#2747C2214yescomplemented
68#2744C2214yes—
69#2739C2214yes—
70#2725C2214yescomplemented
71#2725C2214yescomplemented
72#2722C2214yes—
73#2722C2214yescomplemented
74#2719C2214yescomplemented
75#2704C2214yescomplemented
76#2698C2214yes—
77#2690C2214yes—
78#2690C2214yescomplemented
79#2689C2214yes—
80#2666C2214yescomplemented
81#2664C2214yescomplemented
82#2655C2212yescomplemented
83#2655C2212yescomplemented
84#2655C2214yescomplemented
85#2654C2214yescomplemented
86#2652C2212yes—
87#2652C2212yes—
88#2650C2214yescomplemented
89#2647C2212yescomplemented
90#2647C2211yescharacteristic, complemented
91#2647C2212yescomplemented
92#2646C2214yescomplemented
93#2646C2214yescomplemented
94#2645C2211yescharacteristic, complemented
95#2645C2211yescharacteristic, complemented
96#2645C2212yescomplemented
97#2644C2212yes—
98#2644C2212yes—
99#2643C2214yes—
100#2643C2214yes—
101#2642C2211yescharacteristic, complemented
102#2637C2214yescomplemented
103#2629C2211yescharacteristic
104#2629C2212yescomplemented
105#2625C2212yes—
106#2625C2211yescharacteristic
107#2625C2214yes—
108#2625C2214yes—
109#2625C2212yes—
110#2625C2212yes—
111#2625C2211yescharacteristic
112#2625C2212yescomplemented
113#2625C2212yescomplemented
114#2625C2212yescomplemented
115#2625C2214yescomplemented
116#2625C2212yescomplemented
117#2625C2214yescomplemented
118#2621C2211yescharacteristic
119#2621C2212yescomplemented
120#2571C2212yescomplemented
121#2571C2211yescharacteristic, complemented
122#2570C2212yescomplemented
123#2570C2212yescomplemented
124#2569C2214yescomplemented
125#2569C2214yescomplemented
126#2567C2211yescharacteristic, complemented
127#2563C2211yescharacteristic
128#2552C2211yescharacteristic, complemented
129#2552C2212yescomplemented
130#2550C2212yescomplemented
131#2550C2212yescomplemented
132#2549C2214yescomplemented
133#2549C2214yescomplemented
134#2546C2211yescharacteristic, complemented
135#2542C2211yescharacteristic
136#2538C2211yescharacteristic
137#2538C2211yescharacteristic
138#2514C2212yescomplemented
139#2514C2212yescomplemented
140#2513C2212yes—
141#2513C2212yes—
142#2513C2212yes—
143#2513C2212yes—
144#2512C2212yes—
145#2512C2212yes—
146#2510C2214yes—
147#2510C2214yes—
148#2510C2214yes—
149#2510C2214yes—
150#2509C2212yescomplemented
151#2509C2212yescomplemented
152#2509C2212yescomplemented
153#2508C2212yescomplemented
154#2508C2212yescomplemented
155#2507C2212yescomplemented
156#2507C2212yescomplemented
157#2507C2212yescomplemented
158#2506C2212yescomplemented
159#2506C2212yescomplemented
160#2506C2212yescomplemented
161#2505C2214yescomplemented
162#2505C2214yescomplemented
163#2505C2214yescomplemented
164#2505C2214yescomplemented
165#2505C2214yescomplemented
166#2502C2212yescomplemented
167#2496C2212yes—
168#2496C2212yes—
169#2496C2212yescomplemented
170#2496C2212yescomplemented
171#2495C2212yes—
172#2495C2212yes—
173#2494C2212yes—
174#2494C2212yes—
175#2489C2212yes—
176#2489C2212yescomplemented
177#2489C2212yescomplemented
178#2487C2212yes—
179#2481C2214yes—
180#2481C2214yes—
181#2480C2214yes—
182#2480C2214yes—
183#2480C2214yes—
184#2480C2214yes—
185#2480C2214yes—
186#2480C2214yes—
187#2478C2214yes—
188#2478C2214yes—
189#2475C2214yescomplemented
190#2475C2214yescomplemented
191#2473C2214yescomplemented
192#2473C2214yescomplemented
193#2473C2214yescomplemented
194#2473C2214yescomplemented
195#2473C2214yescomplemented
196#2454C2212yes—
197#2453C2212yescomplemented
198#2453C2212yescomplemented
199#2452C2212yes—
200#2450C2214yes—
201#2449C2214yes—
202#2446C2212yescomplemented
203#2442C2212yes—
204#2442C2214yescomplemented
205#2442C2214yescomplemented
206#2442C2212yescomplemented
207#2442C2212yescomplemented
208#2440C2212yes—
209#2437C2214yes—
210#2437C2214yes—
211#2434C2212yescomplemented
212#2429C2212yescomplemented
213#2429C2212yescomplemented
214#2421C2212yes—
215#2421C2212yescomplemented
216#2421C2212yescomplemented
217#2417C2212yes—
218#2417C2212yes—
219#2409C2212yes—
220#2402C2212yescomplemented
221#2402C2212yescomplemented
222#2401C2212yes—
223#2401C2212yes—
224C2×#400C2214yescomplemented
225C2×#398C2214yescomplemented
226C2×#397C2214yes—
227C2×#397C2214yes—
228#2370C2212yescomplemented
229#2369C2211yescharacteristic, complemented
230#2369C2212yescomplemented
231#2368C2214yescomplemented
232#2365C2211yescharacteristic, complemented
233#2360C2212yescomplemented
234#2360C2214yescomplemented
235#2360C2212yescomplemented
236#2355C2211yescharacteristic, complemented
237#2354C2211yescharacteristic
238#2354C2211yescharacteristic
239#2352C2212yes—
240#2352C2212yes—
241Q8×C4⋊C4C2211yescharacteristic, complemented
242#2349C2212yes—
243#2349C2212yes—
244#2349C2212yes—
245#2349C2212yes—
246#2349C2212yes—
247D4×C4⋊C4C2211yescharacteristic
248D4×C4⋊C4C2212yes—
249D4×C4⋊C4C2212yes—
250D4×C4⋊C4C2212yes—
251D4×C4⋊C4C2211yescharacteristic
252D4×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2211yescharacteristic
254#2345C2212yescomplemented
255#2344C2211yescharacteristic
256#2344C2211yescharacteristic
257#2342C2212yes—
258#2342C2212yes—
259Q8×C22⋊C4C2212yescomplemented
260D4×C22⋊C4C2212yes—
261D4×C22⋊C4C2211yescharacteristic
262D4×C22⋊C4C2211yescharacteristic
263D4×C22⋊C4C2212yes—
264#2331C2212yescomplemented
265#2330C2212yescomplemented
266#2329C2214yescomplemented
267#2329C2214yescomplemented
268#2323C2212yes—
269#2323C2212yescomplemented
270#2323C2212yescomplemented
271#2320C2212yescomplemented
272#2314C2212yes—
273C4×C4⋊Q8C2211yescharacteristic, complemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×#125C2211yescharacteristic, complemented
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2212yescomplemented
280C4×C22⋊Q8C2212yescomplemented
281#2295C2211yescharacteristic, complemented
282#2295C2211yescharacteristic, complemented
283C2×#391C2212yescomplemented
284C2×#391C2212yescomplemented
285#2293C2211yescharacteristic
286#2293C2211yescharacteristic
287C2×#389C2212yescomplemented
288C2×#389C2212yescomplemented
289#2290C2212yes—
290#2290C2212yes—
291#2285C2211yescharacteristic
292#2280C2212yes—
293C2×#380C2212yes—
294#2275C2212yes—
295#2275C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C23×Q8C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#554—28no—
303D4×Q8—28no—
304#541—48no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#125C2312yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×C22⋊Q8—48no—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×D4—28no—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×#117—48no—
358C2×#117C2312yes—
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2314yes—
374C22×C4⋊C4C2314yes—
375C22×C4⋊C4C2314yes—
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2312yes—
378C22×C22⋊C4C2312yes—
379C22×C22⋊C4C2314yes—
380C22×C22⋊C4C2314yes—
381C22×C42C2311yescharacteristic
382C22×C42C2312yes—
383C22×C42C2312yes—
384#401C2314yes—
385#401C2314yes—
386#401C2312yes—
387#401C2312yes—
388#400C2312yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2312yes—
418#400C2312yes—
419#400C2312yes—
420#400C2312yes—
421#400C2312yes—
422#400C2312yes—
423#400C2312yes—
424#400C2312yes—
425#400C2312yes—
426#399C2314yes—
427#399C2314yes—
428#398C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2312yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2312yes—
451#398C2312yes—
452#398C2312yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2312yes—
458#398C2312yes—
459#398C2312yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2312yes—
471#397C2312yes—
472#397C2312yes—
473#397C2312yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2312yes—
481#397C2312yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2312yes—
497#396C2312yes—
498#395C2314yes—
499#395C2314yes—
500#395C2314yes—
501#395C2314yes—
502#393C2314yes—
503#393C2314yes—
504#391C2312yes—
505#391C2311yescharacteristic
506#391C2312yes—
507#391C2311yescharacteristic
508#391C2312yes—
509#391C2314yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2314yes—
514#391C2314yes—
515#391C2314yes—
516#391C2314yes—
517#391C2311yescharacteristic
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2311yescharacteristic
523#391C2312yes—
524#391C2311yescharacteristic
525#391C2311yescharacteristic
526#391C2312yes—
527#391C2314yes—
528#391C2314yes—
529#391C2311yescharacteristic
530#391C2311yescharacteristic
531#390C2312yes—
532#390C2311yescharacteristic
533#390C2311yescharacteristic
534#390C2311yescharacteristic
535#390C2311yescharacteristic
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2312yes—
567#389C2314yes—
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2311yescharacteristic
587#389C2312yes—
588#389C2314yes—
589#389C2314yes—
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#387C2312yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2314yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#386C2312yes—
657#386C2312yes—
658#386C2312yes—
659#386C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#385C2312yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2312yes—
679#385C2312yes—
680#385C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2312yes—
696#384C2311yescharacteristic
697#384C2312yes—
698#384C2312yes—
699#384C2311yescharacteristic
700#384C2312yes—
701#383C2314yes—
702#383C2314yes—
703#382C2311yescharacteristic
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2314yes—
711#382C2314yes—
712#382C2312yes—
713#382C2312yes—
714#382C2314yes—
715#381C2312yes—
716#381C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2314yes—
725#380C2311yescharacteristic
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2312yes—
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2314yes—
744#380C2312yes—
745#380C2314yes—
746#379C2314yes—
747#379C2314yes—
748#379C2312yes—
749#379C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803#376C2311yescharacteristic
804#376C2312yes—
805#376C2312yes—
806#376C2311yescharacteristic
807C2×#95C2314yes—
808C2×#95C2314yes—
809C2×#95C2314yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C2×#95C2314yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C25C2412yes—
817C22×Q8—28no—
818C22×Q8—44no—
819C22×Q8—44no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×D4—24no—
826C22×D4—24no—
827C22×D4—24no—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C23×C4—28no—
832C23×C4—28no—
833C23×C4—44no—
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2414yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2414yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C4⋊Q8—28no—
851C4⋊Q8—24no—
852C4⋊Q8—24no—
853C4⋊Q8—42no—
854C4⋊Q8—44no—
855#126—48no—
856#126—48no—
857#126—84no—
858#126—84no—
859#125—28no—
860#125—42no—
861#125—44no—
862#125—48no—
863#125—48no—
864#125—82no—
865#125—84no—
866C22⋊Q8—28no—
867C22⋊Q8—28no—
868C22⋊Q8—24no—
869C22⋊Q8—28no—
870C22⋊Q8—24no—
871C22⋊Q8—216no—
872C22⋊Q8—216no—
873C22⋊Q8—48no—
874C22⋊Q8—48no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8—82no—
880C4×Q8—24no—
881C4×Q8—24no—
882C4×Q8—44no—
883C4×Q8—44no—
884C4×Q8—44no—
885C4×Q8—82no—
886C4×D4—24no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—28no—
890C4×D4—24no—
891C4×D4—24no—
892C4×D4—28no—
893C4×D4—24no—
894C4×D4—24no—
895C4×D4—28no—
896C4×D4—24no—
897C4×D4—28no—
898C4×D4—24no—
899C4×D4#4118yes—
900#117—24no—
901#117—28no—
902#117—44no—
903#117—44no—
904#117—42no—
905#117—44no—
906#117—44no—
907#117—44no—
908#117—44no—
909C2×C4⋊C4—28no—
910C2×C4⋊C4—24no—
911C2×C4⋊C4—44no—
912C2×C4⋊C4—44no—
913C2×C4⋊C4—44no—
914C2×C4⋊C4—44no—
915C2×C4⋊C4—48no—
916C2×C4⋊C4—84no—
917C2×C4⋊C4—84no—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C22⋊C4—28no—
999C2×C22⋊C4—44no—
1000C2×C22⋊C4—44no—
1001C2×C22⋊C4—48no—
1002C2×C22⋊C4—84no—
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C42—24no—
1044C2×C42—44no—
1045C2×C42—44no—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2414yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2414yes—
1077C2×C42C2411yescharacteristic
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164C24—24no—
1165C24—24no—
1166C24—24no—
1167C24—24no—
1168C24—42no—
1169C24—42no—
1170C24—42no—
1171C24C2512yes—
1172C24C2511yescharacteristic
1173C24C2512yes—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—24no—
1177C2×Q8—24no—
1178C2×Q8—28no—
1179C2×Q8—22no—
1180C2×Q8—24no—
1181C2×Q8—22no—
1182C2×Q8—24no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—42no—
1186C2×Q8—44no—
1187C2×Q8—44no—
1188C2×Q8—42no—
1189C2×Q8—816no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—416no—
1197C2×D4C2×#4114yes—
1198C2×D42−1+414yes—
1199C2×D42−1+414yes—
1200C22×C4—22no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—22no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—28no—
1207C22×C4—28no—
1208C22×C4—28no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—28no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—22no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—432no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—42no—
1239C22×C4—44no—
1240C22×C4—42no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—42no—
1244C22×C4—44no—
1245C22×C4—42no—
1246C22×C4—44no—
1247C22×C4C2×#4118yes—
1248C22×C4H(5,𝔽2)14yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2514yes—
1260C22×C4C2514yes—
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2514yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C4⋊C4—22no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—28no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—28no—
1292C4⋊C4—28no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—28no—
1302C4⋊C4—22no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4C2×#4114yes—
1361C22⋊C4—24no—
1362C22⋊C4—28no—
1363C22⋊C4—28no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—28no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4C2×#4118yes—
1401C42—22no—
1402C42—22no—
1403C42—22no—
1404C42—24no—
1405C42—24no—
1406C42—22no—
1407C42—22no—
1408C42—24no—
1409C42—24no—
1410C42—22no—
1411C42—22no—
1412C42—22no—
1413C42—22no—
1414C42—24no—
1415C42—24no—
1416C42—22no—
1417C42—22no—
1418C42—42no—
1419C42—42no—
1420C42—42no—
1421C42—42no—
1422C42—41no—
1423C42—41no—
1424C42—44no—
1425C42—44no—
1426C42—44no—
1427C42—44no—
1428C42—41no—
1429C42—44no—
1430C42—41no—
1431C42—44no—
1432C42C2×#4114yes—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—48no—
1451C23—48no—
1452C23—48no—
1453C23—48no—
1454C23—84no—
1455C23—84no—
1456C23—84no—
1457C23C22×#4114yes—
1458C23C2×H(5,𝔽2)12yes—
1459C23C2×2−1+414yes—
1460C23C2×2−1+414yes—
1461C23C2611yescharacteristic
1462Q8—44no—
1463Q8—48no—
1464Q8—44no—
1465Q8—84no—
1466Q8—88no—
1467D4—48no—
1468D4—44no—
1469D4#541116yescomplemented
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—28no—
1477C2×C4—216no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—24no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—24no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—24no—
1538C2×C4—24no—
1539C2×C4—24no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—24no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—48no—
1560C2×C4—48no—
1561C2×C4—48no—
1562C2×C4—44no—
1563C2×C4—48no—
1564C2×C4—82no—
1565C2×C4—88no—
1566C2×C4—84no—
1567C2×C4—84no—
1568C2×C4—84no—
1569C2×C4—84no—
1570C2×C4—88no—
1571C2×C4—88no—
1572C2×C4—88no—
1573C2×C4C22×#4112yes—
1574C2×C4C22×#4114yes—
1575C2×C4C22×#4112yes—
1576C2×C4C22×#4112yes—
1577C2×C4C2×H(5,𝔽2)12yes—
1578C2×C4C2×H(5,𝔽2)12yes—
1579C2×C4C2×2−1+412yes—
1580C2×C4C2×2−1+412yes—
1581C2×C4#58512yes—
1582C22—24no—
1583C22—24no—
1584C22—24no—
1585C22—24no—
1586C22—24no—
1587C22—24no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—816no—
1603C22C2×#54118yes—
1604C22C23×#4111yescharacteristic
1605C22C22×H(5,𝔽2)11yescharacteristic
1606C22C22×2−1+411yescharacteristic
1607C22C22×2−1+411yescharacteristic
1608C22C2×#58511yescharacteristic
1609C22H(7,𝔽2)11yescharacteristic
1610C222−1+611yescharacteristic
1611C4—22no—
1612C4—24no—
1613C4—22no—
1614C4—42no—
1615C4—42no—
1616C4—44no—
1617C4—42no—
1618C4—42no—
1619C4—41no—
1620C4—42no—
1621C4—44no—
1622C4—41no—
1623C4—42no—
1624C4—42no—
1625C4—42no—
1626C4—41no—
1627C4—41no—
1628C4—42no—
1629C4—42no—
1630C4—44no—
1631C4—41no—
1632C4—41no—
1633C4—42no—
1634C4—41no—
1635C4—41no—
1636C4—42no—
1637C4—41no—
1638C4—41no—
1639C4—44no—
1640C4—42no—
1641C4C2×#54114yes—
1642C4#351314yes—
1643C2—28no—
1644C2—42no—
1645C2—82no—
1646C2C22×#54111yescharacteristic
1647C2C2×#351311yescharacteristic
1648C2#6285711yescharacteristic
1649C2#6294211yescharacteristic
1650C2#6294411yescharacteristic
1651C2#6295011yescharacteristic
1652C2#6295111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC23×D4C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42626C2semidirect
2. #42623C2semidirect
3. #42573C2semidirect
4. #42569C2semidirect
5. #40868C2semidirect
6. #40867C2semidirect
7. #40760C2semidirect
8. #40757C2semidirect
9. #39480C2semidirect
10. #39353C2semidirect
11. #39203C2semidirect
12. #39192C2semidirect
13. #38122C2semidirect
14. #38113C2semidirect
15. #37850C2semidirect
16. #37663C2semidirect
17. #37637C2semidirect
18. #37628C2semidirect
19. #37504C2semidirect
20. #37495C2semidirect
21. #36290C2semidirect
22. #36276C2semidirect
25. #35961C2semidirect
28. #35858C2semidirect
29. #35310C2semidirect
30. #35291C2semidirect
31. #34629C2semidirect
32. C2×#2625C2semidirect
33. #34334C2semidirect
34. #34332C2semidirect
42. #2862C22semidirect
43. #2859C22semidirect
46. #2857C22semidirect
47. #2851C22semidirect
50. #2839C22semidirect
51. #2836C22semidirect
52. #2836C22semidirect
53. #2833C22semidirect
54. #2831C22semidirect
55. #2831C22semidirect
56. #2802C22semidirect
57. #2798C22semidirect
58. #2798C22semidirect
59. #2789C22semidirect
60. #2783C22semidirect
61. #2776C22semidirect
62. #2772C22semidirect
63. #2762C22semidirect
64. #2758C22semidirect
65. #2754C22semidirect
66. #2754C22semidirect
67. #2747C22semidirect
70. #2725C22semidirect
71. #2725C22semidirect
73. #2722C22semidirect
74. #2719C22semidirect
75. #2704C22semidirect
78. #2690C22semidirect
80. #2666C22semidirect
81. #2664C22semidirect
82. #2655C22semidirect
83. #2655C22semidirect
84. #2655C22semidirect
85. #2654C22semidirect
88. #2650C22semidirect
89. #2647C22semidirect
90. #2647C22semidirect
91. #2647C22semidirect
92. #2646C22semidirect
93. #2646C22semidirect
94. #2645C22semidirect
95. #2645C22semidirect
96. #2645C22semidirect
101. #2642C22semidirect
102. #2637C22semidirect
104. #2629C22semidirect
112. #2625C22semidirect
113. #2625C22semidirect
114. #2625C22semidirect
115. #2625C22semidirect
116. #2625C22semidirect
117. #2625C22semidirect
119. #2621C22semidirect
120. #2571C22semidirect
121. #2571C22semidirect
122. #2570C22semidirect
123. #2570C22semidirect
124. #2569C22semidirect
125. #2569C22semidirect
126. #2567C22semidirect
128. #2552C22semidirect
129. #2552C22semidirect
130. #2550C22semidirect
131. #2550C22semidirect
132. #2549C22semidirect
133. #2549C22semidirect
134. #2546C22semidirect
138. #2514C22semidirect
139. #2514C22semidirect
150. #2509C22semidirect
151. #2509C22semidirect
152. #2509C22semidirect
153. #2508C22semidirect
154. #2508C22semidirect
155. #2507C22semidirect
156. #2507C22semidirect
157. #2507C22semidirect
158. #2506C22semidirect
159. #2506C22semidirect
160. #2506C22semidirect
161. #2505C22semidirect
162. #2505C22semidirect
163. #2505C22semidirect
164. #2505C22semidirect
165. #2505C22semidirect
166. #2502C22semidirect
169. #2496C22semidirect
170. #2496C22semidirect
176. #2489C22semidirect
177. #2489C22semidirect
189. #2475C22semidirect
190. #2475C22semidirect
191. #2473C22semidirect
192. #2473C22semidirect
193. #2473C22semidirect
194. #2473C22semidirect
195. #2473C22semidirect
197. #2453C22semidirect
198. #2453C22semidirect
202. #2446C22semidirect
204. #2442C22semidirect
205. #2442C22semidirect
206. #2442C22semidirect
207. #2442C22semidirect
211. #2434C22semidirect
212. #2429C22semidirect
213. #2429C22semidirect
215. #2421C22semidirect
216. #2421C22semidirect
220. #2402C22semidirect
221. #2402C22semidirect
224. C2×#400C22semidirect
225. C2×#398C22semidirect
228. #2370C22semidirect
229. #2369C22semidirect
230. #2369C22semidirect
231. #2368C22semidirect
232. #2365C22semidirect
233. #2360C22semidirect
234. #2360C22semidirect
235. #2360C22semidirect
236. #2355C22semidirect
241. Q8×C4⋊C4C22semidirect
254. #2345C22semidirect
259. Q8×C22⋊C4C22semidirect
264. #2331C22semidirect
265. #2330C22semidirect
266. #2329C22semidirect
267. #2329C22semidirect
269. #2323C22semidirect
270. #2323C22semidirect
271. #2320C22semidirect
273. C4×C4⋊Q8C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×#125C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect
281. #2295C22semidirect
282. #2295C22semidirect
283. C2×#391C22semidirect
284. C2×#391C22semidirect
287. C2×#389C22semidirect
288. C2×#389C22semidirect
1469. D4#541semidirect

Maximal subgroups

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

subgroupindex
#426262
#426232
#425732
#425692
#408682
#408672
#407602
#407572
#394802
#393532
#392032
#391922
#381222
#381132
#378502
#376632
#376372
#376282
#375042
#374952
#362902
#362762
#361542
D4×C22⋊Q82
#359612
#358732
#358582
#353102
#352912
#346292
C2×#26252
#343342
#343322
D4×#1172