Finite Group Databasebeta

← #7654281

Subgroups — #7654281

Order 512.

4814 conjugacy classes of subgroups.

The subgroup lattice has 1653 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42755C212yesmaximal, complemented
2#42753C212yesmaximal, complemented
3#41447C214yesmaximal, complemented
4#40867C214yesmaximal, complemented
5#40096C212yesmaximal, complemented
6#39506C211yesmaximal, characteristic, complemented
7#39217C212yesmaximal, complemented
8#39203C211yesmaximal, characteristic, complemented
9#39157C211yesmaximal, characteristic, complemented
10#38943C211yesmaximal, characteristic, complemented
11#38539C214yesmaximal, complemented
12#38113C212yesmaximal, complemented
13#37906C214yesmaximal, complemented
14#37850C212yesmaximal, complemented
15#37705C212yesmaximal, complemented
16#37663C212yesmaximal, complemented
17#37637C211yesmaximal, characteristic, complemented
18#37495C212yesmaximal, complemented
19#36276C211yesmaximal, characteristic, complemented
20#36240C212yesmaximal
21#36165C212yesmaximal, complemented
22#36154C211yesmaximal, characteristic
23D4×#125C211yesmaximal, characteristic, complemented
24D4×C22⋊Q8C211yesmaximal, characteristic
25#35961C212yesmaximal, complemented
26#35873C212yesmaximal
27#35291C211yesmaximal, characteristic, complemented
28#35231C212yesmaximal, complemented
29#35209C211yesmaximal, characteristic, complemented
30#35086C212yesmaximal, complemented
31#34975C211yesmaximal, characteristic, complemented
32C2×#2489C212yesmaximal, complemented
33#34334C211yesmaximal, characteristic, complemented
34C4×#554C211yesmaximal, characteristic, complemented
35#34126C211yesmaximal, characteristic
36C2×#554C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#541C2212yescomplemented
39C22×#125C2212yescomplemented
40C22×C22⋊Q8C2212yes—
41C22×C4×D4C2211yescharacteristic
42#2862C2211yescharacteristic, complemented
43#2860C2212yes—
44#2859C2211yescharacteristic, complemented
45#2859C2212yescomplemented
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2212yescomplemented
49#2852C2214yes—
50#2851C2212yescomplemented
51#2851C2214yescomplemented
52#2848C2212yes—
53#2848C2212yes—
54#2833C2214yescomplemented
55#2831C2214yescomplemented
56#2831C2214yescomplemented
57#2798C2214yescomplemented
58#2798C2214yescomplemented
59#2789C2214yescomplemented
60#2783C2214yescomplemented
61#2783C2214yescomplemented
62#2769C2214yescomplemented
63#2762C2214yescomplemented
64#2758C2214yescomplemented
65#2754C2214yescomplemented
66#2754C2214yescomplemented
67#2747C2214yes—
68#2744C2214yes—
69#2744C2214yescomplemented
70#2739C2214yescomplemented
71#2725C2214yescomplemented
72#2725C2214yescomplemented
73#2722C2214yes—
74#2719C2214yescomplemented
75#2719C2214yescomplemented
76#2704C2214yes—
77#2698C2214yescomplemented
78#2690C2214yes—
79#2689C2214yes—
80#2689C2214yescomplemented
81#2666C2214yescomplemented
82#2664C2214yescomplemented
83#2655C2214yescomplemented
84#2654C2214yescomplemented
85#2652C2214yes—
86#2652C2214yescomplemented
87#2650C2214yescomplemented
88#2647C2212yescomplemented
89#2646C2214yescomplemented
90#2645C2212yescomplemented
91#2645C2212yescomplemented
92#2644C2212yes—
93#2643C2214yes—
94#2642C2212yescomplemented
95#2637C2214yescomplemented
96#2629C2212yescomplemented
97#2625C2212yes—
98#2625C2212yescomplemented
99#2625C2212yescomplemented
100#2621C2212yescomplemented
101#2571C2212yescomplemented
102#2571C2212yescomplemented
103#2571C2212yescomplemented
104#2570C2212yescomplemented
105#2569C2214yescomplemented
106#2567C2211yescharacteristic, complemented
107#2563C2211yescharacteristic
108#2552C2211yescharacteristic, complemented
109#2552C2211yescharacteristic, complemented
110#2550C2212yescomplemented
111#2550C2212yescomplemented
112#2549C2214yescomplemented
113#2549C2214yescomplemented
114#2546C2211yescharacteristic, complemented
115#2542C2211yescharacteristic
116#2538C2211yescharacteristic
117#2538C2211yescharacteristic
118#2533C2212yescomplemented
119#2528C2212yescomplemented
120#2524C2214yescomplemented
121#2519C2214yescomplemented
122#2519C2214yescomplemented
123#2514C2212yescomplemented
124#2514C2211yescharacteristic, complemented
125#2513C2212yes—
126#2513C2212yes—
127#2513C2212yes—
128#2513C2212yes—
129#2512C2212yes—
130#2512C2212yes—
131#2510C2214yes—
132#2510C2214yes—
133#2510C2214yes—
134#2510C2214yes—
135#2509C2212yescomplemented
136#2509C2212yescomplemented
137#2508C2212yescomplemented
138#2508C2212yescomplemented
139#2508C2212yescomplemented
140#2508C2212yescomplemented
141#2508C2212yescomplemented
142#2506C2212yescomplemented
143#2506C2212yescomplemented
144#2506C2212yescomplemented
145#2506C2211yescharacteristic, complemented
146#2505C2214yescomplemented
147#2505C2214yescomplemented
148#2505C2214yescomplemented
149#2505C2214yescomplemented
150#2505C2214yescomplemented
151#2505C2214yescomplemented
152#2505C2214yescomplemented
153#2502C2212yescomplemented
154#2497C2212yes—
155#2496C2212yes—
156#2496C2212yes—
157#2496C2211yescharacteristic
158#2496C2212yescomplemented
159#2495C2212yes—
160#2495C2212yes—
161#2494C2212yes—
162#2494C2212yes—
163#2489C2214yes—
164#2489C2212yes—
165#2489C2212yes—
166#2489C2212yes—
167#2489C2214yes—
168#2489C2211yescharacteristic
169#2489C2214yescomplemented
170#2489C2212yescomplemented
171#2489C2212yescomplemented
172#2489C2214yescomplemented
173#2489C2212yescomplemented
174#2489C2212yescomplemented
175#2489C2212yescomplemented
176#2487C2212yes—
177#2481C2214yes—
178#2481C2214yes—
179#2480C2214yes—
180#2480C2214yes—
181#2480C2214yes—
182#2480C2214yes—
183#2480C2214yes—
184#2480C2214yes—
185#2478C2212yes—
186#2475C2212yes—
187#2473C2214yescomplemented
188#2473C2214yescomplemented
189#2473C2214yescomplemented
190#2454C2212yes—
191#2453C2211yescharacteristic, complemented
192#2453C2212yescomplemented
193#2452C2212yes—
194#2450C2214yes—
195#2449C2214yes—
196#2446C2211yescharacteristic, complemented
197#2442C2212yes—
198#2442C2212yescomplemented
199#2442C2212yescomplemented
200#2442C2214yescomplemented
201#2442C2214yescomplemented
202#2442C2214yescomplemented
203#2440C2212yes—
204#2437C2214yes—
205#2437C2214yes—
206#2434C2212yescomplemented
207#2429C2212yes—
208#2429C2211yescharacteristic
209#2429C2212yescomplemented
210#2421C2211yescharacteristic
211#2421C2212yes—
212#2421C2212yescomplemented
213#2417C2212yes—
214#2417C2212yes—
215#2409C2212yes—
216#2402C2212yescomplemented
217#2401C2212yes—
218C2×#400C2214yescomplemented
219C2×#397C2214yes—
220#2370C2212yescomplemented
221#2369C2212yescomplemented
222#2369C2211yescharacteristic, complemented
223#2368C2214yescomplemented
224#2368C2214yescomplemented
225#2365C2211yescharacteristic, complemented
226#2360C2212yescomplemented
227#2360C2212yescomplemented
228#2357C2211yescharacteristic
229#2357C2211yescharacteristic
230#2355C2211yescharacteristic, complemented
231#2355C2211yescharacteristic, complemented
232#2353C2212yes—
233#2353C2212yes—
234#2349C2212yes—
235#2349C2212yes—
236#2349C2212yes—
237#2349C2212yes—
238#2349C2211yescharacteristic
239#2349C2211yescharacteristic
240#2349C2212yes—
241D4×C4⋊C4C2211yescharacteristic
242D4×C4⋊C4C2212yes—
243D4×C4⋊C4C2211yescharacteristic
244D4×C4⋊C4C2212yes—
245D4×C4⋊C4C2212yes—
246#2345C2211yescharacteristic
247#2345C2211yescharacteristic
248#2345C2212yescomplemented
249#2342C2212yes—
250#2342C2212yes—
251Q8×C22⋊C4C2212yescomplemented
252D4×C22⋊C4C2211yescharacteristic
253D4×C22⋊C4C2212yes—
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2211yescharacteristic
256#2334C2214yes—
257#2334C2214yescomplemented
258#2331C2212yescomplemented
259#2330C2212yescomplemented
260#2329C2214yescomplemented
261#2323C2212yes—
262#2323C2212yescomplemented
263#2323C2212yescomplemented
264#2320C2212yescomplemented
265#2320C2212yescomplemented
266#2314C2212yescomplemented
267C4×C4⋊Q8C2211yescharacteristic, complemented
268C4×C4⋊Q8C2211yescharacteristic, complemented
269C4×C4⋊Q8C2211yescharacteristic, complemented
270C4×#125C2211yescharacteristic, complemented
271C4×#125C2212yescomplemented
272C4×#125C2212yescomplemented
273C4×#126C2212yes—
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2212yescomplemented
277C4×C22⋊Q8C2212yescomplemented
278C4×C22⋊Q8C2214yescomplemented
279#2295C2211yescharacteristic, complemented
280C2×#391C2212yescomplemented
281C2×#391C2212yescomplemented
282#2293C2211yescharacteristic
283#2293C2211yescharacteristic
284#2290C2212yes—
285#2290C2212yes—
286C2×#388C2214yes—
287#2283C2211yescharacteristic
288C2×#382C2214yescomplemented
289#2280C2212yes—
290C2×#380C2212yes—
291#2275C2212yes—
292C42×Q8C2211yescharacteristic, complemented
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
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×#126C2312yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125—48no—
316C2×#125C2312yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×C22⋊Q8—48no—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×D4—28no—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2311yescharacteristic
365C2×#117C2312yes—
366C2×#117C2311yescharacteristic
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2314yes—
372C22×C4⋊C4C2314yes—
373C22×C4⋊C4C2314yes—
374C22×C22⋊C4C2312yes—
375C22×C22⋊C4C2312yes—
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2314yes—
378C22×C22⋊C4C2314yes—
379C22×C42C2311yescharacteristic
380C22×C42C2314yes—
381C22×C42C2312yes—
382C22×C42C2312yes—
383#401C2314yes—
384#401C2314yes—
385#401C2312yes—
386#400C2312yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2312yes—
414#400C2314yes—
415#400C2312yes—
416#400C2314yes—
417#400C2312yes—
418#400C2312yes—
419#399C2314yes—
420#399C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2312yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2312yes—
440#398C2312yes—
441#398C2314yes—
442#398C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2312yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2312yes—
472#396C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#393C2314yes—
478#393C2314yes—
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2311yescharacteristic
483#391C2312yes—
484#391C2314yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2314yes—
492#391C2314yes—
493#391C2311yescharacteristic
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2314yes—
499#391C2314yes—
500#391C2311yescharacteristic
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#391C2314yes—
504#391C2314yes—
505#390C2312yes—
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2312yes—
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2312yes—
513#389C2312yes—
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2314yes—
564#389C2311yescharacteristic
565#388C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2312yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2314yes—
599#387C2314yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#386C2312yes—
637#386C2314yes—
638#386C2314yes—
639#386C2312yes—
640#386C2312yes—
641#386C2312yes—
642#386C2314yes—
643#386C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2312yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#385C2312yes—
662#385C2312yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2312yes—
672#384C2311yescharacteristic
673#384C2311yescharacteristic
674#384C2311yescharacteristic
675#384C2312yes—
676#384C2312yes—
677#384C2312yes—
678#384C2312yes—
679#383C2312yes—
680#383C2314yes—
681#383C2314yes—
682#383C2312yes—
683#382C2312yes—
684#382C2311yescharacteristic
685#382C2312yes—
686#382C2312yes—
687#382C2312yes—
688#382C2312yes—
689#382C2311yescharacteristic
690#382C2311yescharacteristic
691#382C2314yes—
692#382C2312yes—
693#382C2312yes—
694#382C2314yes—
695#382C2314yes—
696#382C2314yes—
697#382C2314yes—
698#382C2314yes—
699#382C2314yes—
700#382C2314yes—
701#382C2314yes—
702#381C2312yes—
703#381C2312yes—
704#381C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2314yes—
709#380C2314yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2314yes—
714#380C2311yescharacteristic
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2311yescharacteristic
719#380C2311yescharacteristic
720#380C2312yes—
721#380C2312yes—
722#380C2314yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2314yes—
728#380C2312yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2311yescharacteristic
733#379C2314yes—
734#379C2314yes—
735#379C2312yes—
736#379C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C22⋊C4C2311yescharacteristic
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801#376C2311yescharacteristic
802#376C2312yes—
803#376C2312yes—
804#376C2311yescharacteristic
805C2×#95C2314yes—
806C2×#95C2314yes—
807C2×#95C2312yes—
808C2×#95C2312yes—
809C2×#95C2314yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C43C2312yes—
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—44no—
833C23×C4—44no—
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2414yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2414yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
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—44no—
858#126—48no—
859#126—48no—
860#125—28no—
861#125—24no—
862#125—28no—
863#125—44no—
864#125—44no—
865#125—44no—
866#125—48no—
867#125—48no—
868#125—48no—
869#125—48no—
870C22⋊Q8—28no—
871C22⋊Q8—28no—
872C22⋊Q8—24no—
873C22⋊Q8—28no—
874C22⋊Q8—216no—
875C22⋊Q8—216no—
876C22⋊Q8—44no—
877C22⋊Q8—48no—
878C22⋊Q8—48no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—42no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C4×Q8—24no—
885C4×Q8—24no—
886C4×Q8—24no—
887C4×Q8—44no—
888C4×Q8—42no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×D4—24no—
892C4×D4—28no—
893C4×D4—28no—
894C4×D4—28no—
895C4×D4—24no—
896C4×D4—28no—
897C4×D4—24no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—28no—
901C4×D4—24no—
902C4×D4—28no—
903C4×D4—24no—
904C4×D4#4118yes—
905#117—44no—
906#117—44no—
907#117—42no—
908#117—42no—
909C2×C4⋊C4—28no—
910C2×C4⋊C4—24no—
911C2×C4⋊C4—28no—
912C2×C4⋊C4—48no—
913C2×C4⋊C4—44no—
914C2×C4⋊C4—48no—
915C2×C4⋊C4—48no—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C22⋊C4—28no—
993C2×C22⋊C4—44no—
994C2×C22⋊C4—48no—
995C2×C22⋊C4—44no—
996C2×C22⋊C4—48no—
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C42—24no—
1038C2×C42—44no—
1039C2×C42—44no—
1040C2×C42—48no—
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2414yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2414yes—
1066C2×C42C2412yes—
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
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#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163C24—24no—
1164C24—24no—
1165C24—24no—
1166C24—24no—
1167C24—42no—
1168C24—42no—
1169C24—42no—
1170C24C2512yes—
1171C24C2511yescharacteristic
1172C24C2512yes—
1173C2×Q8—22no—
1174C2×Q8—22no—
1175C2×Q8—24no—
1176C2×Q8—24no—
1177C2×Q8—28no—
1178C2×Q8—22no—
1179C2×Q8—24no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—24no—
1183C2×Q8—22no—
1184C2×Q8—42no—
1185C2×Q8—44no—
1186C2×Q8—42no—
1187C2×Q8—44no—
1188C2×Q8—816no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—416no—
1196C2×D4C2×#4114yes—
1197C2×D42−1+414yes—
1198C2×D42−1+414yes—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—28no—
1202C22×C4—24no—
1203C22×C4—22no—
1204C22×C4—28no—
1205C22×C4—24no—
1206C22×C4—28no—
1207C22×C4—28no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—28no—
1216C22×C4—24no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—42no—
1226C22×C4—44no—
1227C22×C4—41no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—44no—
1246C22×C4—816no—
1247C22×C4C2×#4118yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2514yes—
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2514yes—
1267C22×C4C2514yes—
1268C22×C4C2514yes—
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C4⋊C4—22no—
1281C4⋊C4—24no—
1282C4⋊C4—22no—
1283C4⋊C4—28no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—22no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—28no—
1291C4⋊C4—28no—
1292C4⋊C4—24no—
1293C4⋊C4—28no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—28no—
1301C4⋊C4—28no—
1302C4⋊C4—28no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4C2×#4114yes—
1355C4⋊C4H(5,𝔽2)14yes—
1356C22⋊C4—24no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—28no—
1362C22⋊C4—24no—
1363C22⋊C4—28no—
1364C22⋊C4—24no—
1365C22⋊C4—22no—
1366C22⋊C4—24no—
1367C22⋊C4—28no—
1368C22⋊C4—24no—
1369C22⋊C4—22no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—28no—
1375C22⋊C4—22no—
1376C22⋊C4—24no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—41no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4C2×#4118yes—
1396C42—22no—
1397C42—22no—
1398C42—22no—
1399C42—24no—
1400C42—24no—
1401C42—22no—
1402C42—24no—
1403C42—22no—
1404C42—24no—
1405C42—22no—
1406C42—24no—
1407C42—22no—
1408C42—22no—
1409C42—22no—
1410C42—24no—
1411C42—22no—
1412C42—24no—
1413C42—24no—
1414C42—28no—
1415C42—22no—
1416C42—22no—
1417C42—42no—
1418C42—44no—
1419C42—42no—
1420C42—44no—
1421C42—42no—
1422C42—42no—
1423C42—41no—
1424C42—41no—
1425C42—41no—
1426C42—42no—
1427C42—44no—
1428C42—44no—
1429C42—42no—
1430C42—44no—
1431C42C2×#4114yes—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—48no—
1450C23—48no—
1451C23—48no—
1452C23—48no—
1453C23—84no—
1454C23—84no—
1455C23—84no—
1456C23C22×#4114yes—
1457C23C2×2−1+414yes—
1458C23C2×2−1+414yes—
1459C23#58512yes—
1460C23C2611yescharacteristic
1461Q8—44no—
1462Q8—48no—
1463Q8—44no—
1464Q8—84no—
1465Q8—88no—
1466D4—48no—
1467D4—44no—
1468D4#541116yescomplemented
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—216no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—24no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—416no—
1557C2×C4—48no—
1558C2×C4—44no—
1559C2×C4—44no—
1560C2×C4—48no—
1561C2×C4—44no—
1562C2×C4—84no—
1563C2×C4—84no—
1564C2×C4—84no—
1565C2×C4—84no—
1566C2×C4—88no—
1567C2×C4—84no—
1568C2×C4—88no—
1569C2×C4—84no—
1570C2×C4—88no—
1571C2×C4C22×#4112yes—
1572C2×C4C22×#4114yes—
1573C2×C4C22×#4112yes—
1574C2×C4C22×#4112yes—
1575C2×C4C2×H(5,𝔽2)14yes—
1576C2×C4C2×H(5,𝔽2)12yes—
1577C2×C4C2×2−1+412yes—
1578C2×C4C2×2−1+412yes—
1579C2×C4#58512yes—
1580C2×C4#58512yes—
1581C22—24no—
1582C22—24no—
1583C22—24no—
1584C22—24no—
1585C22—24no—
1586C22—24no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—42no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—816no—
1602C22C2×#54118yes—
1603C22C23×#4111yescharacteristic
1604C22C22×H(5,𝔽2)11yescharacteristic
1605C22C22×2−1+411yescharacteristic
1606C22C22×2−1+411yescharacteristic
1607C22C2×#58511yescharacteristic
1608C22C2×#58511yescharacteristic
1609C22C2×#58511yescharacteristic
1610C4—24no—
1611C4—22no—
1612C4—24no—
1613C4—22no—
1614C4—41no—
1615C4—44no—
1616C4—42no—
1617C4—41no—
1618C4—41no—
1619C4—42no—
1620C4—44no—
1621C4—41no—
1622C4—42no—
1623C4—41no—
1624C4—42no—
1625C4—41no—
1626C4—42no—
1627C4—42no—
1628C4—42no—
1629C4—41no—
1630C4—42no—
1631C4—41no—
1632C4—42no—
1633C4—44no—
1634C4—42no—
1635C4—42no—
1636C4—41no—
1637C4—42no—
1638C4—44no—
1639C4—41no—
1640C4C2×#54114yes—
1641C4#351414yes—
1642C2—28no—
1643C2—42no—
1644C2—82no—
1645C2C22×#54111yescharacteristic
1646C2C2×#351411yescharacteristic
1647C2#6281011yescharacteristic
1648C2#6301311yescharacteristic
1649C2#6301511yescharacteristic
1650C2#6302311yescharacteristic
1651C2#6302311yescharacteristic
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. #42755C2semidirect
2. #42753C2semidirect
3. #41447C2semidirect
4. #40867C2semidirect
5. #40096C2semidirect
6. #39506C2semidirect
7. #39217C2semidirect
8. #39203C2semidirect
9. #39157C2semidirect
10. #38943C2semidirect
11. #38539C2semidirect
12. #38113C2semidirect
13. #37906C2semidirect
14. #37850C2semidirect
15. #37705C2semidirect
16. #37663C2semidirect
17. #37637C2semidirect
18. #37495C2semidirect
19. #36276C2semidirect
21. #36165C2semidirect
23. D4×#125C2semidirect
25. #35961C2semidirect
27. #35291C2semidirect
28. #35231C2semidirect
29. #35209C2semidirect
30. #35086C2semidirect
31. #34975C2semidirect
32. C2×#2489C2semidirect
33. #34334C2semidirect
34. C4×#554C2semidirect
38. C2×#541C22semidirect
39. C22×#125C22semidirect
42. #2862C22semidirect
44. #2859C22semidirect
45. #2859C22semidirect
48. #2857C22semidirect
50. #2851C22semidirect
51. #2851C22semidirect
54. #2833C22semidirect
55. #2831C22semidirect
56. #2831C22semidirect
57. #2798C22semidirect
58. #2798C22semidirect
59. #2789C22semidirect
60. #2783C22semidirect
61. #2783C22semidirect
62. #2769C22semidirect
63. #2762C22semidirect
64. #2758C22semidirect
65. #2754C22semidirect
66. #2754C22semidirect
69. #2744C22semidirect
70. #2739C22semidirect
71. #2725C22semidirect
72. #2725C22semidirect
74. #2719C22semidirect
75. #2719C22semidirect
77. #2698C22semidirect
80. #2689C22semidirect
81. #2666C22semidirect
82. #2664C22semidirect
83. #2655C22semidirect
84. #2654C22semidirect
86. #2652C22semidirect
87. #2650C22semidirect
88. #2647C22semidirect
89. #2646C22semidirect
90. #2645C22semidirect
91. #2645C22semidirect
94. #2642C22semidirect
95. #2637C22semidirect
96. #2629C22semidirect
98. #2625C22semidirect
99. #2625C22semidirect
100. #2621C22semidirect
101. #2571C22semidirect
102. #2571C22semidirect
103. #2571C22semidirect
104. #2570C22semidirect
105. #2569C22semidirect
106. #2567C22semidirect
108. #2552C22semidirect
109. #2552C22semidirect
110. #2550C22semidirect
111. #2550C22semidirect
112. #2549C22semidirect
113. #2549C22semidirect
114. #2546C22semidirect
118. #2533C22semidirect
119. #2528C22semidirect
120. #2524C22semidirect
121. #2519C22semidirect
122. #2519C22semidirect
123. #2514C22semidirect
124. #2514C22semidirect
135. #2509C22semidirect
136. #2509C22semidirect
137. #2508C22semidirect
138. #2508C22semidirect
139. #2508C22semidirect
140. #2508C22semidirect
141. #2508C22semidirect
142. #2506C22semidirect
143. #2506C22semidirect
144. #2506C22semidirect
145. #2506C22semidirect
146. #2505C22semidirect
147. #2505C22semidirect
148. #2505C22semidirect
149. #2505C22semidirect
150. #2505C22semidirect
151. #2505C22semidirect
152. #2505C22semidirect
153. #2502C22semidirect
158. #2496C22semidirect
169. #2489C22semidirect
170. #2489C22semidirect
171. #2489C22semidirect
172. #2489C22semidirect
173. #2489C22semidirect
174. #2489C22semidirect
175. #2489C22semidirect
187. #2473C22semidirect
188. #2473C22semidirect
189. #2473C22semidirect
191. #2453C22semidirect
192. #2453C22semidirect
196. #2446C22semidirect
198. #2442C22semidirect
199. #2442C22semidirect
200. #2442C22semidirect
201. #2442C22semidirect
202. #2442C22semidirect
206. #2434C22semidirect
209. #2429C22semidirect
212. #2421C22semidirect
216. #2402C22semidirect
218. C2×#400C22semidirect
220. #2370C22semidirect
221. #2369C22semidirect
222. #2369C22semidirect
223. #2368C22semidirect
224. #2368C22semidirect
225. #2365C22semidirect
226. #2360C22semidirect
227. #2360C22semidirect
230. #2355C22semidirect
231. #2355C22semidirect
248. #2345C22semidirect
251. Q8×C22⋊C4C22semidirect
257. #2334C22semidirect
258. #2331C22semidirect
259. #2330C22semidirect
260. #2329C22semidirect
262. #2323C22semidirect
263. #2323C22semidirect
264. #2320C22semidirect
265. #2320C22semidirect
266. #2314C22semidirect
267. C4×C4⋊Q8C22semidirect
268. C4×C4⋊Q8C22semidirect
269. C4×C4⋊Q8C22semidirect
270. C4×#125C22semidirect
271. C4×#125C22semidirect
272. C4×#125C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×C22⋊Q8C22semidirect
278. C4×C22⋊Q8C22semidirect
279. #2295C22semidirect
280. C2×#391C22semidirect
281. C2×#391C22semidirect
288. C2×#382C22semidirect
292. C42×Q8C22semidirect
297. C2×C4×C4⋊C4C22semidirect
1468. D4#541semidirect

Maximal subgroups

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

subgroupindex
#427552
#427532
#414472
#408672
#400962
#395062
#392172
#392032
#391572
#389432
#385392
#381132
#379062
#378502
#377052
#376632
#376372
#374952
#362762
#362402
#361652
#361542
D4×#1252
D4×C22⋊Q82
#359612
#358732
#352912
#352312
#352092
#350862
#349752
C2×#24892
#343342
C4×#5542
#341262