Finite Group Databasebeta

← #7690622

Subgroups — #7690622

Order 512.

4924 conjugacy classes of subgroups.

The subgroup lattice has 1685 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59509C212yesmaximal, complemented
2#59441C212yesmaximal, complemented
3#59436C211yesmaximal, characteristic, complemented
4#59347C214yesmaximal, complemented
5#59257C211yesmaximal, characteristic, complemented
6#59254C212yesmaximal, complemented
7#59242C211yesmaximal, characteristic, complemented
8#59197C212yesmaximal, complemented
9#45169C212yesmaximal, complemented
10#45127C212yesmaximal, complemented
11#43619C214yesmaximal, complemented
12#43507C214yesmaximal, complemented
13#39480C211yesmaximal, characteristic, complemented
14#39477C212yesmaximal, complemented
15#39082C212yesmaximal, complemented
16#39074C214yesmaximal, complemented
17#38932C211yesmaximal, characteristic, complemented
18#38929C212yesmaximal, complemented
19#36299C211yesmaximal, characteristic, complemented
20#36290C211yesmaximal, characteristic, complemented
21#36275C211yesmaximal, characteristic, complemented
22#36254C212yesmaximal, complemented
23#36209C211yesmaximal, characteristic, complemented
24#36167C212yesmaximal, complemented
25#36166C212yesmaximal, complemented
26#36154C211yesmaximal, characteristic, complemented
27#35961C212yesmaximal, complemented
28#35791C212yesmaximal
29#34898C211yesmaximal, characteristic, complemented
30C2×#2495C212yesmaximal, complemented
31#34261C212yesmaximal, complemented
32#34191C211yesmaximal, characteristic, complemented
33#34181C211yesmaximal, characteristic, complemented
34C4×#554C211yesmaximal, characteristic, complemented
35C4×#546C211yesmaximal, characteristic
36C2×#554C2211yescharacteristic
37C2×#546C2211yescharacteristic
38C2×#518C2212yes—
39C2×C4×#41C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41#2863C2212yescomplemented
42#2859C2211yescharacteristic, complemented
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic, complemented
45#2855C2212yescomplemented
46#2852C2214yescomplemented
47#2851C2212yescomplemented
48#2848C2212yes—
49#2787C2214yes—
50#2787C2214yes—
51#2781C2214yescomplemented
52#2779C2214yes—
53#2777C2214yescomplemented
54#2770C2214yescomplemented
55#2769C2214yescomplemented
56#2767C2214yescomplemented
57#2766C2214yescomplemented
58#2765C2214yescomplemented
59#2765C2214yescomplemented
60#2764C2214yescomplemented
61#2762C2214yescomplemented
62#2750C2214yescomplemented
63#2747C2214yes—
64#2745C2214yescomplemented
65#2744C2214yescomplemented
66#2741C2214yes—
67#2738C2214yescomplemented
68#2690C2214yes—
69#2687C2214yescomplemented
70#2647C2212yescomplemented
71#2646C2214yescomplemented
72#2625C2212yes—
73#2622C2214yes—
74#2611C2214yescomplemented
75#2606C2214yescomplemented
76#2599C2214yescomplemented
77#2596C2214yescomplemented
78#2582C2211yescharacteristic, complemented
79#2577C2214yes—
80#2577C2212yes—
81#2575C2212yescomplemented
82#2575C2214yescomplemented
83#2573C2214yescomplemented
84#2571C2211yescharacteristic, complemented
85#2571C2212yescomplemented
86#2570C2212yescomplemented
87#2570C2212yescomplemented
88#2570C2211yescharacteristic, complemented
89#2569C2214yescomplemented
90#2567C2211yescharacteristic, complemented
91#2565C2211yescharacteristic, complemented
92#2563C2211yescharacteristic
93#2562C2211yescharacteristic
94#2562C2212yescomplemented
95#2558C2214yescomplemented
96#2552C2211yescharacteristic, complemented
97#2538C2211yescharacteristic
98#2536C2211yescharacteristic
99#2536C2212yes—
100#2533C2214yescomplemented
101#2533C2214yescomplemented
102#2530C2214yes—
103#2524C2212yescomplemented
104#2524C2214yescomplemented
105#2515C2214yescomplemented
106#2514C2212yescomplemented
107#2514C2212yescomplemented
108#2514C2212yescomplemented
109#2514C2212yescomplemented
110#2510C2214yescomplemented
111#2510C2214yescomplemented
112#2510C2214yescomplemented
113#2509C2212yescomplemented
114#2509C2212yescomplemented
115#2509C2212yescomplemented
116#2508C2212yescomplemented
117#2508C2212yescomplemented
118#2507C2212yescomplemented
119#2506C2212yescomplemented
120#2506C2212yescomplemented
121#2505C2214yescomplemented
122#2505C2214yescomplemented
123#2505C2214yescomplemented
124#2505C2214yescomplemented
125#2503C2212yescomplemented
126#2499C2212yes—
127#2498C2214yescomplemented
128#2496C2211yescharacteristic, complemented
129#2495C2212yes—
130#2495C2212yes—
131#2495C2212yes—
132#2495C2214yes—
133#2495C2211yescharacteristic
134#2495C2214yes—
135#2495C2212yescomplemented
136#2495C2212yescomplemented
137#2495C2212yescomplemented
138#2495C2212yescomplemented
139#2495C2212yescomplemented
140#2495C2214yescomplemented
141#2495C2214yescomplemented
142#2495C2212yescomplemented
143#2495C2212yescomplemented
144#2494C2212yes—
145#2494C2212yescomplemented
146#2493C2214yescomplemented
147#2493C2214yescomplemented
148#2493C2214yescomplemented
149#2493C2214yescomplemented
150#2493C2214yescomplemented
151#2489C2212yes—
152#2489C2212yes—
153#2489C2212yescomplemented
154#2487C2212yes—
155#2487C2212yescomplemented
156#2486C2212yescomplemented
157#2485C2212yes—
158#2485C2212yes—
159#2483C2214yes—
160#2479C2214yescomplemented
161#2475C2214yescomplemented
162#2473C2214yescomplemented
163#2473C2214yescomplemented
164#2468C2212yes—
165#2454C2212yes—
166#2453C2212yescomplemented
167#2450C2214yes—
168#2449C2214yescomplemented
169#2447C2212yes—
170#2447C2212yes—
171#2444C2214yes—
172#2443C2214yes—
173#2442C2212yes—
174#2442C2212yescomplemented
175#2442C2212yescomplemented
176#2442C2212yescomplemented
177#2442C2214yescomplemented
178#2442C2212yescomplemented
179#2441C2212yescomplemented
180#2438C2214yescomplemented
181#2437C2214yes—
182#2423C2211yescharacteristic, complemented
183#2422C2212yes—
184#2421C2211yescharacteristic
185#2421C2212yescomplemented
186#2420C2212yes—
187#2419C2214yes—
188#2419C2214yes—
189#2417C2212yes—
190#2417C2212yescomplemented
191#2415C2212yescomplemented
192#2412C2214yes—
193#2402C2212yescomplemented
194#2395C2212yes—
195C2×#400C2214yescomplemented
196C2×#397C2214yes—
197#2370C2212yescomplemented
198#2370C2212yescomplemented
199#2369C2211yescharacteristic, complemented
200#2368C2214yescomplemented
201#2367C2211yescharacteristic
202#2364C2212yes—
203#2363C2211yescharacteristic
204#2360C2211yescharacteristic
205#2360C2212yescomplemented
206#2360C2212yescomplemented
207#2359C2212yes—
208#2358C2212yes—
209#2357C2212yes—
210#2356C2212yescomplemented
211#2355C2211yescharacteristic, complemented
212#2355C2211yescharacteristic, complemented
213#2355C2211yescharacteristic, complemented
214#2354C2212yes—
215#2353C2214yes—
216#2352C2211yescharacteristic
217#2352C2214yes—
218#2352C2212yescomplemented
219#2352C2212yescomplemented
220#2352C2212yescomplemented
221#2349C2212yes—
222#2349C2212yes—
223#2349C2212yes—
224#2349C2214yes—
225#2349C2211yescharacteristic
226#2349C2212yes—
227#2349C2212yes—
228D4×C4⋊C4C2212yes—
229D4×C4⋊C4C2211yescharacteristic
230D4×C4⋊C4C2211yescharacteristic
231D4×C4⋊C4C2212yes—
232D4×C4⋊C4C2211yescharacteristic
233D4×C4⋊C4C2211yescharacteristic
234D4×C4⋊C4C2212yes—
235D4×C4⋊C4C2212yes—
236D4×C4⋊C4C2211yescharacteristic
237#2347C2212yes—
238#2346C2212yes—
239#2346C2212yescomplemented
240#2346C2212yescomplemented
241#2345C2212yescomplemented
242#2344C2212yescomplemented
243#2344C2212yescomplemented
244#2343C2214yescomplemented
245#2343C2214yescomplemented
246#2342C2214yes—
247#2342C2214yes—
248#2342C2212yes—
249#2339C2211yescharacteristic
250#2339C2212yes—
251#2339C2212yes—
252D4×C22⋊C4C2212yes—
253D4×C22⋊C4C2211yescharacteristic
254#2320C2212yescomplemented
255#2319C2212yes—
256#2318C2214yes—
257#2318C2214yescomplemented
258#2316C2212yes—
259#2315C2214yes—
260#2314C2212yes—
261#2312C2214yes—
262C4×C4⋊Q8C2211yescharacteristic, complemented
263C4×#125C2211yescharacteristic, complemented
264C4×#125C2212yescomplemented
265C4×#126C2212yescomplemented
266C4×#124C2211yescharacteristic
267C4×C22⋊Q8C2211yescharacteristic
268C4×C22⋊Q8C2211yescharacteristic
269C4×C22⋊Q8C2212yescomplemented
270C4×C22⋊Q8C2211yescharacteristic, complemented
271C4×C22⋊Q8C2214yescomplemented
272C4×#123C2212yes—
273C4×#121C2211yescharacteristic
274C4×#121C2212yes—
275C4×#120C2212yes—
276#2298C2212yes—
277#2293C2212yes—
278C2×#389C2212yescomplemented
279C2×#389C2212yescomplemented
280#2290C2214yes—
281C2×#388C2214yes—
282#2285C2211yescharacteristic
283#2285C2211yescharacteristic
284#2285C2211yescharacteristic, complemented
285#2283C2211yescharacteristic, complemented
286#2283C2212yescomplemented
287C2×#383C2214yescomplemented
288C2×#382C2212yescomplemented
289C2×#380C2212yes—
290C2×#380C2212yes—
291C2×#380C2212yes—
292#2275C2212yes—
293C42×Q8C2211yescharacteristic, complemented
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C2×C4×C4⋊C4C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#554—28no—
303#546—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×#126C2312yes—
306C2×#125C2312yes—
307C2×#125C2311yescharacteristic
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#125C2314yes—
311C2×#124C2311yescharacteristic
312C2×#123C2312yes—
313C2×#123C2314yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2311yescharacteristic
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2311yescharacteristic
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×#121C2311yescharacteristic
323C2×#121C2312yes—
324C2×#120C2312yes—
325#518—216no—
326C4×#41—28no—
327C2×C4×Q8C2311yescharacteristic
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×D4—28no—
334C2×C4×D4C2311yescharacteristic
335C2×C4×D4C2314yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2314yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2311yescharacteristic
361C2×#117C2314yes—
362C2×#117C2312yes—
363C2×#117C2314yes—
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2314yes—
372C22×C4⋊C4C2314yes—
373C22×C22⋊C4C2314yes—
374C22×C22⋊C4C2312yes—
375C22×C22⋊C4C2314yes—
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2312yes—
378C22×C22⋊C4C2314yes—
379C22×C42C2312yes—
380C22×C42C2311yescharacteristic
381C22×C42C2311yescharacteristic
382C22×C42C2312yes—
383C22×C42C2314yes—
384#401C2314yes—
385#401C2314yes—
386#401C2314yes—
387#400C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#399C2314yes—
416#399C2312yes—
417#399C2314yes—
418#398C2312yes—
419#398C2312yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2312yes—
424#398C2314yes—
425#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#398C2314yes—
434#398C2314yes—
435#397C2314yes—
436#397C2312yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2312yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#395C2314yes—
456#394C2312yes—
457#394C2314yes—
458#394C2312yes—
459#394C2314yes—
460#394C2314yes—
461#393C2314yes—
462#391C2312yes—
463#391C2311yescharacteristic
464#391C2311yescharacteristic
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2311yescharacteristic
471#391C2311yescharacteristic
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2314yes—
476#390C2312yes—
477#390C2311yescharacteristic
478#390C2311yescharacteristic
479#390C2312yes—
480#390C2312yes—
481#389C2312yes—
482#389C2311yescharacteristic
483#389C2312yes—
484#389C2311yescharacteristic
485#389C2312yes—
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2311yescharacteristic
492#389C2311yescharacteristic
493#389C2311yescharacteristic
494#389C2312yes—
495#389C2312yes—
496#389C2314yes—
497#389C2312yes—
498#389C2314yes—
499#389C2314yes—
500#389C2312yes—
501#389C2312yes—
502#389C2314yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2311yescharacteristic
516#389C2312yes—
517#389C2314yes—
518#389C2314yes—
519#389C2314yes—
520#389C2314yes—
521#389C2312yes—
522#389C2314yes—
523#389C2314yes—
524#388C2312yes—
525#388C2312yes—
526#388C2312yes—
527#388C2312yes—
528#388C2314yes—
529#388C2314yes—
530#388C2312yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2312yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2312yes—
543#388C2312yes—
544#388C2314yes—
545#388C2312yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2312yes—
551#388C2312yes—
552#388C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2312yes—
557#388C2314yes—
558#387C2312yes—
559#387C2312yes—
560#387C2312yes—
561#387C2312yes—
562#387C2312yes—
563#387C2314yes—
564#387C2314yes—
565#387C2312yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2312yes—
574#387C2314yes—
575#387C2314yes—
576#387C2312yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2312yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2312yes—
593#387C2314yes—
594#387C2314yes—
595#387C2312yes—
596#387C2314yes—
597#387C2312yes—
598#387C2312yes—
599#387C2314yes—
600#387C2314yes—
601#387C2312yes—
602#386C2312yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2312yes—
608#386C2312yes—
609#386C2314yes—
610#386C2312yes—
611#386C2314yes—
612#386C2312yes—
613#386C2314yes—
614#386C2312yes—
615#386C2312yes—
616#385C2312yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2312yes—
630#385C2314yes—
631#385C2312yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2312yes—
638#385C2312yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2312yes—
643#385C2314yes—
644#385C2314yes—
645#385C2312yes—
646#385C2314yes—
647#384C2311yescharacteristic
648#384C2311yescharacteristic
649#384C2312yes—
650#384C2311yescharacteristic
651#384C2311yescharacteristic
652#384C2312yes—
653#384C2311yescharacteristic
654#383C2312yes—
655#383C2314yes—
656#383C2314yes—
657#383C2314yes—
658#383C2312yes—
659#383C2314yes—
660#383C2314yes—
661#383C2314yes—
662#383C2314yes—
663#383C2314yes—
664#383C2314yes—
665#382C2311yescharacteristic
666#382C2312yes—
667#382C2312yes—
668#382C2311yescharacteristic
669#382C2312yes—
670#382C2311yescharacteristic
671#382C2312yes—
672#382C2312yes—
673#382C2311yescharacteristic
674#382C2314yes—
675#382C2312yes—
676#382C2314yes—
677#382C2314yes—
678#382C2314yes—
679#382C2312yes—
680#382C2314yes—
681#382C2312yes—
682#382C2312yes—
683#382C2312yes—
684#381C2314yes—
685#381C2314yes—
686#381C2312yes—
687#381C2314yes—
688#381C2314yes—
689#381C2312yes—
690#381C2314yes—
691#381C2314yes—
692#381C2314yes—
693#380C2311yescharacteristic
694#380C2311yescharacteristic
695#380C2311yescharacteristic
696#380C2311yescharacteristic
697#380C2311yescharacteristic
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2314yes—
703#380C2314yes—
704#380C2314yes—
705#380C2314yes—
706#380C2314yes—
707#380C2311yescharacteristic
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2314yes—
712#380C2314yes—
713#380C2314yes—
714#380C2312yes—
715#380C2314yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2311yescharacteristic
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2312yes—
731#380C2311yescharacteristic
732#379C2312yes—
733#379C2314yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C22⋊C4C2311yescharacteristic
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2311yescharacteristic
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800#376C2312yes—
801#376C2314yes—
802#376C2314yes—
803C2×#95C2314yes—
804C2×#95C2314yes—
805C2×#95C2314yes—
806C2×#95C2312yes—
807C2×#95C2314yes—
808C2×#95C2314yes—
809C2×#95C2314yes—
810C2×#95C2314yes—
811C2×#95C2312yes—
812C2×#95C2314yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C25C2412yes—
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—24no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×D4—24no—
823C22×D4—24no—
824C22×D4#4118yes—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C23×C4—28no—
832C23×C4—44no—
833C23×C4—44no—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2414yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2414yes—
847C23×C4C2414yes—
848C23×C4C2414yes—
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2412yes—
855C4⋊Q8—24no—
856#126—44no—
857#125—28no—
858#125—44no—
859#125—42no—
860#125—84no—
861#125—82no—
862#124—24no—
863#123—28no—
864#123—84no—
865C22⋊Q8—24no—
866C22⋊Q8—28no—
867C22⋊Q8—216no—
868C22⋊Q8—42no—
869C22⋊Q8—44no—
870C22⋊Q8—42no—
871C22⋊Q8—82no—
872C22⋊Q8—82no—
873#121—24no—
874#121—28no—
875#120—28no—
876C4×Q8—24no—
877C4×Q8—24no—
878C4×Q8—24no—
879C4×Q8—44no—
880C4×Q8—42no—
881C4×Q8—42no—
882C4×D4—24no—
883C4×D4—24no—
884C4×D4—216no—
885C4×D4—216no—
886C4×D4—28no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—28no—
890C4×D4—24no—
891C4×D4—28no—
892C4×D4—24no—
893C4×D4—28no—
894C4×D4—28no—
895C4×D4—28no—
896C4×D4—24no—
897C4×D4—24no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—24no—
901C4×D4—42no—
902C4×D4—44no—
903C4×D4—42no—
904C4×D4#4118yes—
905#117—28no—
906#117—28no—
907#117—24no—
908#117—28no—
909#117—48no—
910#117—44no—
911#117—84no—
912C2×C4⋊C4—28no—
913C2×C4⋊C4—24no—
914C2×C4⋊C4—44no—
915C2×C4⋊C4—44no—
916C2×C4⋊C4—44no—
917C2×C4⋊C4—44no—
918C2×C4⋊C4—44no—
919C2×C4⋊C4—84no—
920C2×C4⋊C4—84no—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C22⋊C4—216no—
990C2×C22⋊C4—216no—
991C2×C22⋊C4—28no—
992C2×C22⋊C4—28no—
993C2×C22⋊C4—44no—
994C2×C22⋊C4—84no—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C42—28no—
1042C2×C42—24no—
1043C2×C42—24no—
1044C2×C42—44no—
1045C2×C42—48no—
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2411yescharacteristic
1080#95C2412yes—
1081#95C2411yescharacteristic
1082#95C2411yescharacteristic
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2411yescharacteristic
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2411yescharacteristic
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2411yescharacteristic
1132#95C2414yes—
1133#95C2411yescharacteristic
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164C24—24no—
1165C24—24no—
1166C24—42no—
1167C24—42no—
1168C24—42no—
1169C24—42no—
1170C24C2×#4118yes—
1171C24C2511yescharacteristic
1172C24C2511yescharacteristic
1173C24C2512yes—
1174C24C2512yes—
1175#41—416no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—24no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—232no—
1188C2×D4—24no—
1189C2×D4—22no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4C2×#4118yes—
1200C2×D4C2×#4114yes—
1201C2×D4C2×#4114yes—
1202C2×D4C2×#4114yes—
1203C2×D42−1+414yes—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—28no—
1214C22×C4—28no—
1215C22×C4—28no—
1216C22×C4—28no—
1217C22×C4—24no—
1218C22×C4—28no—
1219C22×C4—24no—
1220C22×C4—28no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—42no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—816no—
1266C22×C4C2×#4118yes—
1267C22×C4C2×#4114yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2514yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2514yes—
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2514yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2514yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—28no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—28no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4C2×#4114yes—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—28no—
1370C22⋊C4—22no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—28no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—28no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—24no—
1391C22⋊C4—22no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4C2×#4118yes—
1413C42—22no—
1414C42—22no—
1415C42—24no—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—22no—
1420C42—24no—
1421C42—24no—
1422C42—28no—
1423C42—24no—
1424C42—24no—
1425C42—22no—
1426C42—24no—
1427C42—22no—
1428C42—24no—
1429C42—22no—
1430C42—24no—
1431C42—28no—
1432C42—24no—
1433C42—22no—
1434C42—22no—
1435C42—42no—
1436C42—42no—
1437C42—44no—
1438C42—44no—
1439C42—44no—
1440C42—44no—
1441C42—42no—
1442C42—44no—
1443C42—42no—
1444C42—42no—
1445C42—41no—
1446C42C2×#4114yes—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—21no—
1453C23—21no—
1454C23—22no—
1455C23—22no—
1456C23—21no—
1457C23—22no—
1458C23—21no—
1459C23—22no—
1460C23—21no—
1461C23—21no—
1462C23—22no—
1463C23—216no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—48no—
1472C23—48no—
1473C23—84no—
1474C23—84no—
1475C23—84no—
1476C23—84no—
1477C23C22×#4112yes—
1478C23C22×#4114yes—
1479C23C22×#4114yes—
1480C23C22×#4114yes—
1481C23C2×2−1+414yes—
1482C23C2611yescharacteristic
1483Q8—44no—
1484Q8—44no—
1485Q8—84no—
1486D4—216no—
1487D4—28no—
1488D4—44no—
1489D4—48no—
1490D4—84no—
1491D4#552116yes—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—28no—
1501C2×C4—216no—
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—21no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—24no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—48no—
1578C2×C4—48no—
1579C2×C4—44no—
1580C2×C4—44no—
1581C2×C4—48no—
1582C2×C4—44no—
1583C2×C4—82no—
1584C2×C4—82no—
1585C2×C4—84no—
1586C2×C4—84no—
1587C2×C4—88no—
1588C2×C4—88no—
1589C2×C4—84no—
1590C2×C4—84no—
1591C2×C4—88no—
1592C2×C4—88no—
1593C2×C4—88no—
1594C2×C4—88no—
1595C2×C4—84no—
1596C2×C4C22×#4112yes—
1597C2×C4C22×#4112yes—
1598C2×C4C22×#4114yes—
1599C2×C4C22×#4112yes—
1600C2×C4C22×#4112yes—
1601C2×C4C22×#4112yes—
1602C2×C4C2×2−1+412yes—
1603C2×C4#58512yes—
1604C2×C4#58512yes—
1605C2×C4#58512yes—
1606C22—24no—
1607C22—24no—
1608C22—24no—
1609C22—24no—
1610C22—24no—
1611C22—24no—
1612C22—24no—
1613C22—22no—
1614C22—24no—
1615C22—22no—
1616C22—22no—
1617C22—24no—
1618C22—41no—
1619C22—42no—
1620C22—42no—
1621C22—41no—
1622C22—41no—
1623C22—42no—
1624C22—42no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—816no—
1634C22C2×#55218yes—
1635C22C23×#4111yescharacteristic
1636C22C23×#4111yescharacteristic
1637C22C22×2−1+411yescharacteristic
1638C22C2×#58511yescharacteristic
1639C22C2×#58511yescharacteristic
1640C22C2×#58511yescharacteristic
1641C22H(7,𝔽2)11yescharacteristic
1642C4—22no—
1643C4—22no—
1644C4—24no—
1645C4—22no—
1646C4—41no—
1647C4—42no—
1648C4—42no—
1649C4—44no—
1650C4—42no—
1651C4—41no—
1652C4—42no—
1653C4—42no—
1654C4—41no—
1655C4—44no—
1656C4—42no—
1657C4—42no—
1658C4—41no—
1659C4—42no—
1660C4—41no—
1661C4—42no—
1662C4—42no—
1663C4—44no—
1664C4—42no—
1665C4—41no—
1666C4—41no—
1667C4—44no—
1668C4—42no—
1669C4—41no—
1670C4—42no—
1671C4C2×#55214yes—
1672C4#352114yes—
1673C2—28no—
1674C2—44no—
1675C2—42no—
1676C2—81no—
1677C2C22×#55211yescharacteristic
1678C2C2×#352111yescharacteristic
1679C2#6278111yescharacteristic
1680C2#6295111yescharacteristic
1681C2#6299211yescharacteristic
1682C2#6299411yescharacteristic
1683C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#546C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59509C2semidirect
2. #59441C2semidirect
3. #59436C2semidirect
4. #59347C2semidirect
5. #59257C2semidirect
6. #59254C2semidirect
7. #59242C2semidirect
8. #59197C2semidirect
9. #45169C2semidirect
10. #45127C2semidirect
11. #43619C2semidirect
12. #43507C2semidirect
13. #39480C2semidirect
14. #39477C2semidirect
15. #39082C2semidirect
16. #39074C2semidirect
17. #38932C2semidirect
18. #38929C2semidirect
19. #36299C2semidirect
20. #36290C2semidirect
21. #36275C2semidirect
22. #36254C2semidirect
23. #36209C2semidirect
24. #36167C2semidirect
25. #36166C2semidirect
26. #36154C2semidirect
27. #35961C2semidirect
29. #34898C2semidirect
30. C2×#2495C2semidirect
31. #34261C2semidirect
32. #34191C2semidirect
33. #34181C2semidirect
34. C4×#554C2semidirect
41. #2863C22semidirect
42. #2859C22semidirect
44. #2857C22semidirect
45. #2855C22semidirect
46. #2852C22semidirect
47. #2851C22semidirect
51. #2781C22semidirect
53. #2777C22semidirect
54. #2770C22semidirect
55. #2769C22semidirect
56. #2767C22semidirect
57. #2766C22semidirect
58. #2765C22semidirect
59. #2765C22semidirect
60. #2764C22semidirect
61. #2762C22semidirect
62. #2750C22semidirect
64. #2745C22semidirect
65. #2744C22semidirect
67. #2738C22semidirect
69. #2687C22semidirect
70. #2647C22semidirect
71. #2646C22semidirect
74. #2611C22semidirect
75. #2606C22semidirect
76. #2599C22semidirect
77. #2596C22semidirect
78. #2582C22semidirect
81. #2575C22semidirect
82. #2575C22semidirect
83. #2573C22semidirect
84. #2571C22semidirect
85. #2571C22semidirect
86. #2570C22semidirect
87. #2570C22semidirect
88. #2570C22semidirect
89. #2569C22semidirect
90. #2567C22semidirect
91. #2565C22semidirect
94. #2562C22semidirect
95. #2558C22semidirect
96. #2552C22semidirect
100. #2533C22semidirect
101. #2533C22semidirect
103. #2524C22semidirect
104. #2524C22semidirect
105. #2515C22semidirect
106. #2514C22semidirect
107. #2514C22semidirect
108. #2514C22semidirect
109. #2514C22semidirect
110. #2510C22semidirect
111. #2510C22semidirect
112. #2510C22semidirect
113. #2509C22semidirect
114. #2509C22semidirect
115. #2509C22semidirect
116. #2508C22semidirect
117. #2508C22semidirect
118. #2507C22semidirect
119. #2506C22semidirect
120. #2506C22semidirect
121. #2505C22semidirect
122. #2505C22semidirect
123. #2505C22semidirect
124. #2505C22semidirect
125. #2503C22semidirect
127. #2498C22semidirect
128. #2496C22semidirect
135. #2495C22semidirect
136. #2495C22semidirect
137. #2495C22semidirect
138. #2495C22semidirect
139. #2495C22semidirect
140. #2495C22semidirect
141. #2495C22semidirect
142. #2495C22semidirect
143. #2495C22semidirect
145. #2494C22semidirect
146. #2493C22semidirect
147. #2493C22semidirect
148. #2493C22semidirect
149. #2493C22semidirect
150. #2493C22semidirect
153. #2489C22semidirect
155. #2487C22semidirect
156. #2486C22semidirect
160. #2479C22semidirect
161. #2475C22semidirect
162. #2473C22semidirect
163. #2473C22semidirect
166. #2453C22semidirect
168. #2449C22semidirect
174. #2442C22semidirect
175. #2442C22semidirect
176. #2442C22semidirect
177. #2442C22semidirect
178. #2442C22semidirect
179. #2441C22semidirect
180. #2438C22semidirect
182. #2423C22semidirect
185. #2421C22semidirect
190. #2417C22semidirect
191. #2415C22semidirect
193. #2402C22semidirect
195. C2×#400C22semidirect
197. #2370C22semidirect
198. #2370C22semidirect
199. #2369C22semidirect
200. #2368C22semidirect
205. #2360C22semidirect
206. #2360C22semidirect
210. #2356C22semidirect
211. #2355C22semidirect
212. #2355C22semidirect
213. #2355C22semidirect
218. #2352C22semidirect
219. #2352C22semidirect
220. #2352C22semidirect
239. #2346C22semidirect
240. #2346C22semidirect
241. #2345C22semidirect
242. #2344C22semidirect
243. #2344C22semidirect
244. #2343C22semidirect
245. #2343C22semidirect
254. #2320C22semidirect
257. #2318C22semidirect
262. C4×C4⋊Q8C22semidirect
263. C4×#125C22semidirect
264. C4×#125C22semidirect
265. C4×#126C22semidirect
269. C4×C22⋊Q8C22semidirect
270. C4×C22⋊Q8C22semidirect
271. C4×C22⋊Q8C22semidirect
278. C2×#389C22semidirect
279. C2×#389C22semidirect
284. #2285C22semidirect
285. #2283C22semidirect
286. #2283C22semidirect
287. C2×#383C22semidirect
288. C2×#382C22semidirect
293. C42×Q8C22semidirect
297. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#595092
#594412
#594362
#593472
#592572
#592542
#592422
#591972
#451692
#451272
#436192
#435072
#394802
#394772
#390822
#390742
#389322
#389292
#362992
#362902
#362752
#362542
#362092
#361672
#361662
#361542
#359612
#357912
#348982
C2×#24952
#342612
#341912
#341812
C4×#5542
C4×#5462