Finite Group Databasebeta

← #7692189

Subgroups — #7692189

Order 512.

4869 conjugacy classes of subgroups.

The subgroup lattice has 1680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59895C212yesmaximal, complemented
2#59488C212yesmaximal, complemented
3#59436C211yesmaximal, characteristic, complemented
4#59382C212yesmaximal
5#59362C214yesmaximal, complemented
6#59242C211yesmaximal, characteristic, complemented
7#59235C211yesmaximal, characteristic, complemented
8#59206C212yesmaximal, complemented
9#45372C212yesmaximal, complemented
10#45253C212yesmaximal, complemented
11#44482C214yesmaximal, complemented
12#44035C214yesmaximal, complemented
13#39032C212yesmaximal, complemented
14#39022C212yesmaximal, complemented
15#38966C211yesmaximal, characteristic, complemented
16#38921C211yesmaximal, characteristic, complemented
17#38412C214yesmaximal, complemented
18#37856C212yesmaximal, complemented
19#36555C211yesmaximal, characteristic, complemented
20#36551C211yesmaximal, characteristic, complemented
21#36372C212yesmaximal, complemented
22#36287C211yesmaximal, characteristic, complemented
23#36234C212yesmaximal, complemented
24#36210C211yesmaximal, characteristic, complemented
25#36192C212yesmaximal, complemented
26#36154C211yesmaximal, characteristic, complemented
27#35984C212yesmaximal, complemented
28#35734C212yesmaximal, complemented
29#34913C212yesmaximal, complemented
30#34700C211yesmaximal, characteristic
31#34317C211yesmaximal, characteristic, complemented
32#34243C211yesmaximal, characteristic, complemented
33#34180C212yesmaximal, complemented
34C4×#552C211yesmaximal, characteristic, complemented
35D4×#117C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#552C2211yescharacteristic
38C2×#529C2211yescharacteristic
39C22×C4×D4C2211yescharacteristic
40C22×#117C2212yes—
41#2864C2212yescomplemented
42#2859C2212yescomplemented
43#2859C2211yescharacteristic, complemented
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic, complemented
46#2851C2214yescomplemented
47#2851C2212yescomplemented
48#2848C2212yes—
49#2794C2214yescomplemented
50#2790C2214yescomplemented
51#2790C2214yescomplemented
52#2787C2214yes—
53#2787C2214yescomplemented
54#2771C2214yescomplemented
55#2768C2214yescomplemented
56#2767C2214yescomplemented
57#2766C2214yescomplemented
58#2746C2214yes—
59#2746C2214yes—
60#2745C2214yescomplemented
61#2744C2214yes—
62#2744C2214yescomplemented
63#2743C2214yes—
64#2739C2214yes—
65#2738C2214yes—
66#2735C2214yes—
67#2735C2214yes—
68#2698C2214yescomplemented
69#2680C2214yescomplemented
70#2655C2214yescomplemented
71#2655C2214yescomplemented
72#2629C2212yescomplemented
73#2625C2212yescomplemented
74#2612C2214yescomplemented
75#2611C2214yescomplemented
76#2609C2214yes—
77#2609C2214yescomplemented
78#2609C2214yescomplemented
79#2599C2214yescomplemented
80#2598C2214yes—
81#2589C2214yescomplemented
82#2587C2214yescomplemented
83#2582C2211yescharacteristic, complemented
84#2578C2214yes—
85#2578C2214yes—
86#2578C2214yescomplemented
87#2577C2214yescomplemented
88#2576C2214yes—
89#2576C2214yescomplemented
90#2575C2214yescomplemented
91#2573C2214yescomplemented
92#2573C2214yescomplemented
93#2571C2212yescomplemented
94#2570C2212yescomplemented
95#2567C2211yescharacteristic, complemented
96#2566C2212yes—
97#2563C2211yescharacteristic
98#2562C2212yes—
99#2562C2212yescomplemented
100#2556C2214yes—
101#2552C2212yescomplemented
102#2552C2212yescomplemented
103#2552C2211yescharacteristic, complemented
104#2552C2211yescharacteristic, complemented
105#2538C2211yescharacteristic
106#2534C2214yes—
107#2530C2214yescomplemented
108#2524C2214yescomplemented
109#2524C2214yescomplemented
110#2522C2214yescomplemented
111#2522C2214yescomplemented
112#2522C2214yescomplemented
113#2522C2214yescomplemented
114#2522C2214yescomplemented
115#2515C2214yescomplemented
116#2515C2214yescomplemented
117#2514C2212yescomplemented
118#2514C2212yescomplemented
119#2514C2212yescomplemented
120#2514C2212yescomplemented
121#2509C2212yescomplemented
122#2509C2212yescomplemented
123#2508C2212yescomplemented
124#2508C2212yescomplemented
125#2506C2212yescomplemented
126#2499C2212yes—
127#2497C2212yes—
128#2497C2212yescomplemented
129#2497C2212yescomplemented
130#2497C2212yescomplemented
131#2495C2212yes—
132#2495C2212yescomplemented
133#2495C2212yescomplemented
134#2494C2212yes—
135#2494C2214yescomplemented
136#2494C2212yescomplemented
137#2494C2212yescomplemented
138#2493C2214yescomplemented
139#2489C2212yes—
140#2489C2212yescomplemented
141#2489C2212yescomplemented
142#2487C2212yes—
143#2487C2212yescomplemented
144#2486C2212yescomplemented
145#2485C2212yes—
146#2482C2214yes—
147#2480C2214yes—
148#2480C2212yes—
149#2478C2214yes—
150#2475C2214yescomplemented
151#2470C2214yes—
152#2470C2214yescomplemented
153#2468C2212yes—
154#2460C2214yescomplemented
155#2457C2212yes—
156#2457C2214yes—
157#2454C2212yes—
158#2454C2212yes—
159#2454C2211yescharacteristic
160#2454C2212yes—
161#2454C2212yes—
162#2453C2212yescomplemented
163#2450C2214yes—
164#2450C2214yescomplemented
165#2447C2212yes—
166#2447C2212yes—
167#2447C2211yescharacteristic
168#2442C2212yes—
169#2442C2211yescharacteristic
170#2442C2212yescomplemented
171#2442C2212yescomplemented
172#2441C2212yes—
173#2441C2214yescomplemented
174#2441C2212yescomplemented
175#2441C2214yescomplemented
176#2437C2214yes—
177#2435C2211yescharacteristic
178#2427C2211yescharacteristic
179#2423C2212yes—
180#2423C2212yescomplemented
181#2422C2212yes—
182#2421C2212yes—
183#2420C2211yescharacteristic
184#2420C2212yes—
185#2418C2212yes—
186#2418C2214yes—
187#2417C2212yes—
188#2417C2211yescharacteristic
189#2417C2212yescomplemented
190#2415C2212yes—
191#2415C2212yescomplemented
192#2408C2211yescharacteristic
193#2401C2214yescomplemented
194#2395C2212yes—
195#2395C2214yescomplemented
196#2392C2212yes—
197#2373C2212yes—
198#2371C2212yescomplemented
199#2370C2212yescomplemented
200#2370C2212yescomplemented
201#2370C2212yescomplemented
202#2370C2212yescomplemented
203#2370C2211yescharacteristic, complemented
204#2370C2212yescomplemented
205#2369C2211yescharacteristic, complemented
206#2367C2212yes—
207#2362C2211yescharacteristic
208#2362C2212yescomplemented
209#2362C2214yescomplemented
210#2362C2212yescomplemented
211#2360C2211yescharacteristic, complemented
212#2360C2212yescomplemented
213#2359C2212yes—
214#2359C2214yescomplemented
215#2359C2214yescomplemented
216#2357C2212yes—
217#2356C2211yescharacteristic, complemented
218#2355C2211yescharacteristic, complemented
219#2355C2211yescharacteristic, complemented
220#2354C2211yescharacteristic
221#2354C2211yescharacteristic
222#2354C2212yes—
223#2354C2212yes—
224#2352C2212yes—
225#2352C2211yescharacteristic
226#2352C2212yes—
227#2352C2212yescomplemented
228Q8×C4⋊C4C2211yescharacteristic, complemented
229#2349C2212yes—
230D4×C4⋊C4C2211yescharacteristic
231D4×C4⋊C4C2211yescharacteristic
232D4×C4⋊C4C2211yescharacteristic
233D4×C4⋊C4C2212yescomplemented
234D4×C4⋊C4C2212yescomplemented
235#2347C2212yes—
236#2347C2212yes—
237#2346C2211yescharacteristic
238#2346C2212yes—
239#2345C2212yescomplemented
240#2345C2212yescomplemented
241#2344C2212yes—
242#2344C2212yescomplemented
243#2344C2212yescomplemented
244#2344C2212yescomplemented
245#2344C2211yescharacteristic, complemented
246#2343C2214yescomplemented
247#2343C2212yescomplemented
248#2343C2214yescomplemented
249#2342C2214yes—
250#2342C2214yes—
251#2342C2214yes—
252D4×C22⋊C4C2212yes—
253D4×C22⋊C4C2212yes—
254#2334C2214yescomplemented
255#2332C2214yescomplemented
256#2323C2212yescomplemented
257#2317C2212yescomplemented
258#2317C2212yescomplemented
259#2314C2214yes—
260#2314C2214yes—
261#2314C2212yescomplemented
262C4×C4⋊Q8C2211yescharacteristic, complemented
263C4×#125C2212yescomplemented
264C4×#125C2211yescharacteristic, complemented
265C4×#125C2212yescomplemented
266C4×#126C2212yes—
267C4×#124C2211yescharacteristic
268C4×#124C2212yes—
269C4×C22⋊Q8C2211yescharacteristic
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2211yescharacteristic, complemented
272C4×C22⋊Q8C2212yescomplemented
273C4×#123C2212yes—
274C4×#121C2212yes—
275C4×#121C2212yes—
276C4×#121C2211yescharacteristic
277C4×#120C2212yes—
278#2295C2212yescomplemented
279#2293C2212yes—
280#2293C2211yescharacteristic
281#2293C2212yes—
282#2290C2214yes—
283#2290C2214yescomplemented
284#2285C2211yescharacteristic
285#2285C2214yescomplemented
286#2285C2211yescharacteristic, complemented
287#2283C2214yescomplemented
288#2280C2212yes—
289#2280C2212yes—
290C2×#380C2212yes—
291#2274C2212yescomplemented
292#2274C2212yescomplemented
293C42×Q8C2211yescharacteristic, complemented
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yescomplemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C23×D4C2311yescharacteristic
300C24×C4C2312yes—
301#554—28no—
302#552—28no—
303C2×C4⋊Q8C2311yescharacteristic
304#529—28no—
305C2×#126C2312yes—
306C2×#126C2312yes—
307C2×#125C2312yes—
308C2×#125C2311yescharacteristic
309C2×#125C2312yes—
310C2×#125C2311yescharacteristic
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#124C2311yescharacteristic
316C2×#124C2311yescharacteristic
317C2×#123C2312yes—
318C2×#123C2312yes—
319C2×#123C2314yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2312yes—
329C2×#121C2311yescharacteristic
330C2×#121C2311yescharacteristic
331C2×#120C2312yes—
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×D4—28no—
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
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×D4C2312yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2314yes—
355C2×C4×D4C2311yescharacteristic
356C2×#117—216no—
357C2×#117C2314yes—
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2314yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2311yescharacteristic
367C2×#117C2314yes—
368C2×#117C2314yes—
369C2×#117C2314yes—
370C2×#117C2312yes—
371C2×#117C2311yescharacteristic
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2311yescharacteristic
379C22×C22⋊C4C2314yes—
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2314yes—
382C22×C42C2314yes—
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2312yes—
386#401C2314yes—
387#401C2314yes—
388#401C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2312yes—
404#400C2314yes—
405#400C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#399C2312yes—
411#399C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#397C2312yes—
428#397C2314yes—
429#397C2312yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2312yes—
451#396C2312yes—
452#396C2314yes—
453#395C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2312yes—
457#394C2312yes—
458#394C2312yes—
459#394C2312yes—
460#394C2314yes—
461#394C2312yes—
462#393C2314yes—
463#392C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2314yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2311yescharacteristic
474#391C2311yescharacteristic
475#391C2311yescharacteristic
476#391C2311yescharacteristic
477#390C2312yes—
478#390C2311yescharacteristic
479#390C2312yes—
480#390C2312yes—
481#390C2312yes—
482#390C2311yescharacteristic
483#390C2311yescharacteristic
484#390C2311yescharacteristic
485#389C2311yescharacteristic
486#389C2312yes—
487#389C2311yescharacteristic
488#389C2311yescharacteristic
489#389C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2311yescharacteristic
496#389C2312yes—
497#389C2314yes—
498#389C2311yescharacteristic
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2314yes—
504#389C2314yes—
505#389C2312yes—
506#389C2314yes—
507#389C2312yes—
508#389C2312yes—
509#389C2314yes—
510#389C2314yes—
511#389C2314yes—
512#389C2312yes—
513#389C2312yes—
514#389C2314yes—
515#389C2314yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2314yes—
524#389C2312yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2314yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2312yes—
531#388C2312yes—
532#388C2312yes—
533#388C2312yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2312yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2312yes—
560#388C2312yes—
561#388C2314yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2312yes—
566#388C2314yes—
567#388C2312yes—
568#388C2312yes—
569#387C2312yes—
570#387C2312yes—
571#387C2312yes—
572#387C2312yes—
573#387C2314yes—
574#387C2314yes—
575#387C2312yes—
576#387C2312yes—
577#387C2312yes—
578#387C2312yes—
579#387C2312yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2312yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2312yes—
616#387C2314yes—
617#387C2312yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2312yes—
624#386C2314yes—
625#386C2312yes—
626#386C2314yes—
627#386C2312yes—
628#386C2312yes—
629#386C2312yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2312yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2312yes—
651#385C2312yes—
652#385C2312yes—
653#385C2312yes—
654#385C2312yes—
655#385C2312yes—
656#384C2311yescharacteristic
657#384C2312yes—
658#384C2312yes—
659#384C2314yes—
660#384C2314yes—
661#384C2312yes—
662#384C2312yes—
663#384C2311yescharacteristic
664#384C2311yescharacteristic
665#383C2312yes—
666#383C2314yes—
667#383C2314yes—
668#383C2314yes—
669#383C2314yes—
670#382C2312yes—
671#382C2311yescharacteristic
672#382C2312yes—
673#382C2312yes—
674#382C2312yes—
675#382C2314yes—
676#382C2314yes—
677#382C2312yes—
678#382C2311yescharacteristic
679#382C2314yes—
680#382C2312yes—
681#382C2312yes—
682#382C2314yes—
683#382C2314yes—
684#381C2312yes—
685#381C2314yes—
686#381C2314yes—
687#381C2314yes—
688#381C2314yes—
689#381C2314yes—
690#381C2312yes—
691#381C2312yes—
692#380C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2311yescharacteristic
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2314yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2314yes—
709#380C2314yes—
710#380C2314yes—
711#380C2312yes—
712#380C2311yescharacteristic
713#380C2314yes—
714#380C2314yes—
715#380C2312yes—
716#380C2314yes—
717#380C2312yes—
718#380C2311yescharacteristic
719#380C2312yes—
720#380C2314yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#379C2314yes—
725#379C2314yes—
726#379C2312yes—
727#379C2312yes—
728#379C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C22⋊C4C2311yescharacteristic
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806#376C2312yes—
807#376C2314yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2314yes—
811C2×#95C2312yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C25C2412yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×D4—24no—
820C22×D4—24no—
821C22×D4—42no—
822C22×D4C2411yescharacteristic
823C22×D4C2412yes—
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C23×C4—28no—
829C23×C4—28no—
830C23×C4—44no—
831C23×C4C2411yescharacteristic
832C23×C4C2412yes—
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2414yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2412yes—
848C4⋊Q8—24no—
849#126—28no—
850#126—28no—
851#125—24no—
852#125—24no—
853#125—28no—
854#125—28no—
855#125—44no—
856#125—44no—
857#125—44no—
858#125—84no—
859#124—24no—
860#124—24no—
861#123—28no—
862#123—28no—
863#123—48no—
864C22⋊Q8—24no—
865C22⋊Q8—28no—
866C22⋊Q8—24no—
867C22⋊Q8—24no—
868C22⋊Q8—216no—
869C22⋊Q8—44no—
870C22⋊Q8—44no—
871C22⋊Q8—42no—
872C22⋊Q8—82no—
873#121—24no—
874#121—24no—
875#120—44no—
876C4×Q8—24no—
877C4×Q8—24no—
878C4×Q8—24no—
879C4×Q8—44no—
880C4×Q8—42no—
881C4×Q8—82no—
882C4×D4—24no—
883C4×D4—28no—
884C4×D4—28no—
885C4×D4—28no—
886C4×D4—28no—
887C4×D4—24no—
888C4×D4—24no—
889C4×D4—28no—
890C4×D4—24no—
891C4×D4—44no—
892C4×D4—44no—
893C4×D4—44no—
894C4×D4—42no—
895C4×D4—42no—
896C4×D4—48no—
897C4×D4—84no—
898C4×D4#4118yes—
899#117—28no—
900#117—28no—
901#117—28no—
902#117—28no—
903#117—216no—
904#117—216no—
905#117—28no—
906#117—44no—
907#117—44no—
908#117—42no—
909#117—84no—
910#117—84no—
911#117—82no—
912#117—84no—
913#117#4118yes—
914C2×C4⋊C4—28no—
915C2×C4⋊C4—28no—
916C2×C4⋊C4—28no—
917C2×C4⋊C4—24no—
918C2×C4⋊C4—24no—
919C2×C4⋊C4—42no—
920C2×C4⋊C4—44no—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C22⋊C4—216no—
994C2×C22⋊C4—28no—
995C2×C22⋊C4—84no—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C42—216no—
1047C2×C42—24no—
1048C2×C42—24no—
1049C2×C42—44no—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2414yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2411yescharacteristic
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164C24—24no—
1165C24—24no—
1166C24—24no—
1167C24—42no—
1168C24—42no—
1169C24—42no—
1170C24—42no—
1171C24C2511yescharacteristic
1172C24C2512yes—
1173C24C2512yes—
1174C24C2511yescharacteristic
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—42no—
1183C2×Q8—42no—
1184C2×D4—24no—
1185C2×D4—24no—
1186C2×D4—22no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—22no—
1191C2×D4—24no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—42no—
1197C2×D4—41no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—416no—
1201C2×D4C2×#4114yes—
1202C2×D42−1+414yes—
1203C22×C4—22no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—22no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—28no—
1210C22×C4—24no—
1211C22×C4—22no—
1212C22×C4—28no—
1213C22×C4—24no—
1214C22×C4—28no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—28no—
1234C22×C4—42no—
1235C22×C4—44no—
1236C22×C4—41no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—432no—
1241C22×C4—42no—
1242C22×C4—44no—
1243C22×C4—42no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—41no—
1247C22×C4—42no—
1248C22×C4—41no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4C2×#4118yes—
1254C22×C4C2×#4114yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2514yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2514yes—
1270C22×C4C2512yes—
1271C22×C4C2514yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C4⋊C4—22no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—28no—
1290C4⋊C4—28no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—28no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—41no—
1336C4⋊C4—41no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4C2×#4114yes—
1356C4⋊C4C2×#4114yes—
1357C4⋊C4C2×#4114yes—
1358C22⋊C4—28no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—28no—
1363C22⋊C4—24no—
1364C22⋊C4—22no—
1365C22⋊C4—24no—
1366C22⋊C4—28no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—22no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—22no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4C2×#4118yes—
1407C22⋊C4C2×#4118yes—
1408C42—28no—
1409C42—28no—
1410C42—28no—
1411C42—22no—
1412C42—22no—
1413C42—22no—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—24no—
1418C42—24no—
1419C42—22no—
1420C42—24no—
1421C42—24no—
1422C42—22no—
1423C42—24no—
1424C42—24no—
1425C42—22no—
1426C42—24no—
1427C42—22no—
1428C42—42no—
1429C42—42no—
1430C42—42no—
1431C42—42no—
1432C42—42no—
1433C42—44no—
1434C42—44no—
1435C42—42no—
1436C42—44no—
1437C42—44no—
1438C42—44no—
1439C42—41no—
1440C42—44no—
1441C42—42no—
1442C42—41no—
1443C42—42no—
1444C42C2×#4118yes—
1445C42C2×#4114yes—
1446C23—22no—
1447C23—21no—
1448C23—21no—
1449C23—22no—
1450C23—22no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—22no—
1455C23—22no—
1456C23—21no—
1457C23—22no—
1458C23—22no—
1459C23—21no—
1460C23—22no—
1461C23—21no—
1462C23—21no—
1463C23—22no—
1464C23—22no—
1465C23—21no—
1466C23—22no—
1467C23—21no—
1468C23—21no—
1469C23—22no—
1470C23—48no—
1471C23—48no—
1472C23—48no—
1473C23—84no—
1474C23—84no—
1475C23—84no—
1476C23—84no—
1477C23C22×#4112yes—
1478C23C22×#4114yes—
1479C23C2×2−1+414yes—
1480C23#58512yes—
1481C23C2611yescharacteristic
1482Q8—44no—
1483Q8—44no—
1484Q8—84no—
1485D4—28no—
1486D4—28no—
1487D4—48no—
1488D4—48no—
1489D4—44no—
1490D4—48no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—28no—
1502C2×C4—216no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—24no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—24no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—24no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—24no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—24no—
1574C2×C4—24no—
1575C2×C4—48no—
1576C2×C4—416no—
1577C2×C4—44no—
1578C2×C4—48no—
1579C2×C4—48no—
1580C2×C4—48no—
1581C2×C4—44no—
1582C2×C4—48no—
1583C2×C4—44no—
1584C2×C4—44no—
1585C2×C4—82no—
1586C2×C4—88no—
1587C2×C4—88no—
1588C2×C4—84no—
1589C2×C4—164no—
1590C2×C4C22×#4112yes—
1591C2×C4C22×#4114yes—
1592C2×C4C22×#4114yes—
1593C2×C4C22×#4112yes—
1594C2×C4C22×#4114yes—
1595C2×C4C22×#4112yes—
1596C2×C4C22×#4112yes—
1597C2×C4C22×#4112yes—
1598C2×C4C2×2−1+412yes—
1599C2×C4#58512yes—
1600C2×C4#58512yes—
1601C22—24no—
1602C22—22no—
1603C22—22no—
1604C22—24no—
1605C22—22no—
1606C22—24no—
1607C22—24no—
1608C22—24no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—24no—
1613C22—41no—
1614C22—42no—
1615C22—41no—
1616C22—42no—
1617C22—42no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—42no—
1622C22—42no—
1623C22—41no—
1624C22—42no—
1625C22—42no—
1626C22—41no—
1627C22—42no—
1628C22—41no—
1629C22—816no—
1630C22C23×#4111yescharacteristic
1631C22C23×#4111yescharacteristic
1632C22C22×2−1+411yescharacteristic
1633C22C2×#58511yescharacteristic
1634C22C2×#58511yescharacteristic
1635C22C2×#58511yescharacteristic
1636C22H(7,𝔽2)11yescharacteristic
1637C4—24no—
1638C4—22no—
1639C4—24no—
1640C4—22no—
1641C4—24no—
1642C4—41no—
1643C4—44no—
1644C4—41no—
1645C4—41no—
1646C4—42no—
1647C4—44no—
1648C4—42no—
1649C4—41no—
1650C4—42no—
1651C4—42no—
1652C4—41no—
1653C4—41no—
1654C4—42no—
1655C4—42no—
1656C4—44no—
1657C4—41no—
1658C4—42no—
1659C4—41no—
1660C4—42no—
1661C4—42no—
1662C4—44no—
1663C4—41no—
1664C4—42no—
1665C4—42no—
1666C4#347514yes—
1667C4#349514yes—
1668C2—42no—
1669C2—44no—
1670C2—44no—
1671C2—42no—
1672C2C2×#347511yescharacteristic
1673C2C2×#349511yescharacteristic
1674C2#6281611yescharacteristic
1675C2#6293711yescharacteristic
1676C2#6300011yescharacteristic
1677C2#6300811yescharacteristic
1678C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2408C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59895C2semidirect
2. #59488C2semidirect
3. #59436C2semidirect
5. #59362C2semidirect
6. #59242C2semidirect
7. #59235C2semidirect
8. #59206C2semidirect
9. #45372C2semidirect
10. #45253C2semidirect
11. #44482C2semidirect
12. #44035C2semidirect
13. #39032C2semidirect
14. #39022C2semidirect
15. #38966C2semidirect
16. #38921C2semidirect
17. #38412C2semidirect
18. #37856C2semidirect
19. #36555C2semidirect
20. #36551C2semidirect
21. #36372C2semidirect
22. #36287C2semidirect
23. #36234C2semidirect
24. #36210C2semidirect
25. #36192C2semidirect
26. #36154C2semidirect
27. #35984C2semidirect
28. #35734C2semidirect
29. #34913C2semidirect
31. #34317C2semidirect
32. #34243C2semidirect
33. #34180C2semidirect
34. C4×#552C2semidirect
35. D4×#117C2semidirect
41. #2864C22semidirect
42. #2859C22semidirect
43. #2859C22semidirect
45. #2857C22semidirect
46. #2851C22semidirect
47. #2851C22semidirect
49. #2794C22semidirect
50. #2790C22semidirect
51. #2790C22semidirect
53. #2787C22semidirect
54. #2771C22semidirect
55. #2768C22semidirect
56. #2767C22semidirect
57. #2766C22semidirect
60. #2745C22semidirect
62. #2744C22semidirect
68. #2698C22semidirect
69. #2680C22semidirect
70. #2655C22semidirect
71. #2655C22semidirect
72. #2629C22semidirect
73. #2625C22semidirect
74. #2612C22semidirect
75. #2611C22semidirect
77. #2609C22semidirect
78. #2609C22semidirect
79. #2599C22semidirect
81. #2589C22semidirect
82. #2587C22semidirect
83. #2582C22semidirect
86. #2578C22semidirect
87. #2577C22semidirect
89. #2576C22semidirect
90. #2575C22semidirect
91. #2573C22semidirect
92. #2573C22semidirect
93. #2571C22semidirect
94. #2570C22semidirect
95. #2567C22semidirect
99. #2562C22semidirect
101. #2552C22semidirect
102. #2552C22semidirect
103. #2552C22semidirect
104. #2552C22semidirect
107. #2530C22semidirect
108. #2524C22semidirect
109. #2524C22semidirect
110. #2522C22semidirect
111. #2522C22semidirect
112. #2522C22semidirect
113. #2522C22semidirect
114. #2522C22semidirect
115. #2515C22semidirect
116. #2515C22semidirect
117. #2514C22semidirect
118. #2514C22semidirect
119. #2514C22semidirect
120. #2514C22semidirect
121. #2509C22semidirect
122. #2509C22semidirect
123. #2508C22semidirect
124. #2508C22semidirect
125. #2506C22semidirect
128. #2497C22semidirect
129. #2497C22semidirect
130. #2497C22semidirect
132. #2495C22semidirect
133. #2495C22semidirect
135. #2494C22semidirect
136. #2494C22semidirect
137. #2494C22semidirect
138. #2493C22semidirect
140. #2489C22semidirect
141. #2489C22semidirect
143. #2487C22semidirect
144. #2486C22semidirect
150. #2475C22semidirect
152. #2470C22semidirect
154. #2460C22semidirect
162. #2453C22semidirect
164. #2450C22semidirect
170. #2442C22semidirect
171. #2442C22semidirect
173. #2441C22semidirect
174. #2441C22semidirect
175. #2441C22semidirect
180. #2423C22semidirect
189. #2417C22semidirect
191. #2415C22semidirect
193. #2401C22semidirect
195. #2395C22semidirect
198. #2371C22semidirect
199. #2370C22semidirect
200. #2370C22semidirect
201. #2370C22semidirect
202. #2370C22semidirect
203. #2370C22semidirect
204. #2370C22semidirect
205. #2369C22semidirect
208. #2362C22semidirect
209. #2362C22semidirect
210. #2362C22semidirect
211. #2360C22semidirect
212. #2360C22semidirect
214. #2359C22semidirect
215. #2359C22semidirect
217. #2356C22semidirect
218. #2355C22semidirect
219. #2355C22semidirect
227. #2352C22semidirect
228. Q8×C4⋊C4C22semidirect
233. D4×C4⋊C4C22semidirect
234. D4×C4⋊C4C22semidirect
239. #2345C22semidirect
240. #2345C22semidirect
242. #2344C22semidirect
243. #2344C22semidirect
244. #2344C22semidirect
245. #2344C22semidirect
246. #2343C22semidirect
247. #2343C22semidirect
248. #2343C22semidirect
254. #2334C22semidirect
255. #2332C22semidirect
256. #2323C22semidirect
257. #2317C22semidirect
258. #2317C22semidirect
261. #2314C22semidirect
262. C4×C4⋊Q8C22semidirect
263. C4×#125C22semidirect
264. C4×#125C22semidirect
265. C4×#125C22semidirect
271. C4×C22⋊Q8C22semidirect
272. C4×C22⋊Q8C22semidirect
278. #2295C22semidirect
283. #2290C22semidirect
285. #2285C22semidirect
286. #2285C22semidirect
287. #2283C22semidirect
291. #2274C22semidirect
292. #2274C22semidirect
293. C42×Q8C22semidirect
297. C4×#117C22semidirect
298. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#598952
#594882
#594362
#593822
#593622
#592422
#592352
#592062
#453722
#452532
#444822
#440352
#390322
#390222
#389662
#389212
#384122
#378562
#365552
#365512
#363722
#362872
#362342
#362102
#361922
#361542
#359842
#357342
#349132
#347002
#343172
#342432
#341802
C4×#5522
D4×#1172