Finite Group Databasebeta

← #7671111

Subgroups — #7671111

Order 512.

5162 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59698C212yesmaximal, complemented
2#59660C211yesmaximal, characteristic, complemented
3#59529C214yesmaximal, complemented
4#59481C212yesmaximal, complemented
5#59437C211yesmaximal, characteristic, complemented
6#59435C211yesmaximal, characteristic, complemented
7#59421C211yesmaximal, characteristic, complemented
8#59231C212yesmaximal, complemented
9#59215C212yesmaximal, complemented
10#40316C214yesmaximal, complemented
11#40296C214yesmaximal, complemented
12#39914C212yesmaximal, complemented
13#39904C212yesmaximal, complemented
14#39864C212yesmaximal, complemented
15#39856C212yesmaximal, complemented
16#36635C211yesmaximal, characteristic, complemented
17#36536C212yesmaximal, complemented
18#36534C211yesmaximal, characteristic, complemented
19#36492C211yesmaximal, characteristic, complemented
20#36468C211yesmaximal, characteristic, complemented
21#36449C212yesmaximal, complemented
22#36444C211yesmaximal, characteristic, complemented
23#36405C211yesmaximal, characteristic, complemented
24#36387C212yesmaximal, complemented
25#36306C212yesmaximal, complemented
26#36285C211yesmaximal, characteristic, complemented
27#36276C211yesmaximal, characteristic, complemented
28#36275C211yesmaximal, characteristic, complemented
29#35503C214yesmaximal, complemented
30#35110C212yesmaximal, complemented
31#35036C212yesmaximal, complemented
32#34327C212yesmaximal, complemented
33#34323C212yesmaximal, complemented
34C4×#532C211yesmaximal, characteristic, complemented
35C4×#529C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#554C2211yescharacteristic
39C2×#553C2212yes—
40C2×D4×Q8C2211yescharacteristic
41C2×#548C2212yes—
42C2×#532C2211yescharacteristic
43C2×#529C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46#2864C2212yes—
47#2863C2212yes—
48#2863C2212yes—
49#2863C2212yes—
50#2862C2211yescharacteristic
51#2861C2212yes—
52#2859C2211yescharacteristic
53#2857C2211yescharacteristic
54#2857C2211yescharacteristic
55#2857C2212yes—
56#2857C2212yes—
57#2855C2212yes—
58#2855C2212yes—
59#2855C2212yes—
60#2855C2212yes—
61#2854C2212yes—
62#2851C2212yes—
63#2851C2212yes—
64#2787C2214yes—
65#2775C2214yes—
66#2758C2214yes—
67#2757C2214yes—
68#2746C2214yes—
69#2744C2214yes—
70#2738C2214yes—
71#2728C2214yes—
72#2722C2214yes—
73#2702C2214yes—
74#2695C2214yes—
75#2691C2214yes—
76#2688C2214yes—
77#2686C2214yes—
78#2686C2214yes—
79#2671C2214yes—
80#2655C2214yes—
81#2649C2214yes—
82#2638C2214yes—
83#2630C2214yes—
84#2612C2214yes—
85#2606C2214yes—
86#2604C2214yes—
87#2603C2214yes—
88#2602C2214yes—
89#2600C2214yes—
90#2600C2214yes—
91#2590C2214yes—
92#2590C2214yes—
93#2589C2214yes—
94#2588C2214yes—
95#2587C2214yes—
96#2582C2211yescharacteristic
97#2582C2211yescharacteristic
98#2579C2214yes—
99#2578C2214yes—
100#2578C2214yes—
101#2578C2214yes—
102#2577C2214yes—
103#2577C2214yes—
104#2577C2214yes—
105#2571C2212yes—
106#2570C2212yes—
107#2567C2211yescharacteristic
108#2565C2212yes—
109#2565C2212yes—
110#2564C2214yes—
111#2563C2211yescharacteristic
112#2562C2212yes—
113#2562C2212yes—
114#2560C2214yes—
115#2560C2214yes—
116#2560C2214yes—
117#2559C2214yes—
118#2550C2212yes—
119#2550C2212yes—
120#2549C2214yes—
121#2549C2214yes—
122#2547C2211yescharacteristic
123#2547C2212yes—
124#2547C2212yes—
125#2546C2211yescharacteristic
126#2544C2212yes—
127#2537C2211yescharacteristic
128#2537C2211yescharacteristic
129#2537C2212yes—
130#2536C2214yes—
131#2536C2212yes—
132#2536C2212yes—
133#2535C2212yes—
134#2535C2212yes—
135#2532C2214yes—
136#2532C2214yes—
137#2531C2214yes—
138#2530C2214yes—
139#2530C2214yes—
140#2530C2214yes—
141#2527C2214yes—
142#2520C2214yes—
143#2518C2214yes—
144#2514C2212yes—
145#2512C2212yes—
146#2510C2214yes—
147#2507C2212yes—
148#2502C2212yes—
149#2498C2214yes—
150#2496C2212yes—
151#2496C2212yes—
152#2495C2212yes—
153#2495C2212yes—
154#2495C2214yes—
155#2494C2212yes—
156#2492C2212yes—
157#2489C2212yes—
158#2489C2212yes—
159#2487C2212yes—
160#2485C2212yes—
161#2485C2214yes—
162#2478C2214yes—
163#2477C2214yes—
164#2468C2214yes—
165#2468C2214yes—
166#2467C2214yes—
167#2463C2214yes—
168#2453C2212yes—
169#2449C2214yes—
170#2448C2212yes—
171#2447C2212yes—
172#2446C2212yes—
173#2446C2212yes—
174#2442C2212yes—
175#2442C2212yes—
176#2442C2212yes—
177#2441C2212yes—
178#2441C2212yes—
179#2439C2212yes—
180#2438C2214yes—
181#2436C2212yes—
182#2434C2212yes—
183#2432C2212yes—
184#2428C2212yes—
185#2427C2212yes—
186#2427C2212yes—
187#2427C2212yes—
188#2427C2212yes—
189#2427C2214yes—
190#2426C2212yes—
191#2421C2212yes—
192#2421C2212yes—
193#2417C2212yes—
194#2415C2212yes—
195#2415C2214yes—
196#2415C2212yes—
197#2407C2212yes—
198#2373C2214yes—
199#2372C2214yes—
200#2370C2212yes—
201#2368C2214yes—
202#2367C2212yes—
203#2365C2212yes—
204#2364C2214yes—
205#2363C2212yes—
206#2362C2212yes—
207#2361C2212yes—
208#2361C2212yes—
209#2361C2214yes—
210#2361C2212yes—
211#2359C2214yes—
212#2356C2212yes—
213#2356C2212yes—
214#2355C2211yescharacteristic
215#2354C2211yescharacteristic
216#2353C2214yes—
217#2353C2214yes—
218#2352C2214yes—
219#2352C2212yes—
220#2352C2212yes—
221#2352C2212yes—
222#2352C2212yes—
223Q8×C4⋊C4C2211yescharacteristic
224#2349C2212yes—
225#2349C2212yes—
226D4×C4⋊C4C2211yescharacteristic
227D4×C4⋊C4C2212yes—
228#2346C2212yes—
229#2345C2212yes—
230#2345C2214yes—
231Q8×C22⋊C4C2212yes—
232Q8×C22⋊C4C2212yes—
233#2339C2212yes—
234#2337C2214yes—
235#2335C2214yes—
236#2334C2214yes—
237#2334C2214yes—
238#2332C2214yes—
239#2325C2214yes—
240#2325C2214yes—
241C4×C4⋊Q8C2211yescharacteristic
242C4×C4⋊Q8C2211yescharacteristic
243C4×C4⋊Q8C2211yescharacteristic
244C4×C4⋊Q8C2211yescharacteristic
245C4×#127C2211yescharacteristic
246C4×#127C2211yescharacteristic
247C4×#125C2212yes—
248C4×#125C2211yescharacteristic
249C4×#125C2211yescharacteristic
250C4×#126C2212yes—
251C4×#126C2212yes—
252C4×#124C2211yescharacteristic
253C4×#124C2211yescharacteristic
254C4×#124C2212yes—
255C4×#124C2211yescharacteristic
256C4×#124C2211yescharacteristic
257C4×#124C2211yescharacteristic
258C4×#124C2211yescharacteristic
259C4×C22⋊Q8C2212yes—
260C4×C22⋊Q8C2212yes—
261C4×C22⋊Q8C2211yescharacteristic
262C4×C22⋊Q8C2211yescharacteristic
263C4×#123C2212yes—
264C4×#123C2212yes—
265C4×#121C2212yes—
266C4×#121C2212yes—
267C4×#121C2212yes—
268C4×#121C2211yescharacteristic
269C4×#121C2212yes—
270C4×#121C2211yescharacteristic
271C4×#121C2212yes—
272C4×#121C2212yes—
273C4×#121C2212yes—
274#2298C2212yes—
275#2297C2211yescharacteristic
276#2297C2211yescharacteristic
277#2296C2212yes—
278#2295C2212yes—
279#2295C2212yes—
280#2295C2212yes—
281#2295C2211yescharacteristic
282C2×#391C2212yes—
283#2293C2211yescharacteristic
284#2293C2212yes—
285#2293C2212yes—
286C2×#389C2212yes—
287#2290C2212yes—
288#2285C2211yescharacteristic
289#2283C2212yes—
290#2283C2211yescharacteristic
291#2275C2214yes—
292C42×Q8C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2212yes—
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2212yes—
298C2×C43C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×Q8C2312yes—
302#556—44no—
303#554—44no—
304#554—44no—
305#553—216no—
306D4×Q8—44no—
307#548—216no—
308#532—28no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×#127C2311yescharacteristic
315#529—28no—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#124C2314yes—
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2311yescharacteristic
328C2×#124C2311yescharacteristic
329C2×#124C2312yes—
330C2×#123C2314yes—
331C2×#123C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2312yes—
352C4×#41—44no—
353C4×#41—44no—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2311yescharacteristic
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2311yescharacteristic
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2311yescharacteristic
400C2×#117C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2314yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C42C2311yescharacteristic
406C22×C42C2311yescharacteristic
407C22×C42C2311yescharacteristic
408C22×C42C2311yescharacteristic
409C22×C42C2312yes—
410C22×C42C2312yes—
411C22×C42C2311yescharacteristic
412C22×C42C2312yes—
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415#401C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#399C2314yes—
428#399C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#392C2314yes—
478#392C2314yes—
479#391C2312yes—
480#391C2312yes—
481#391C2314yes—
482#391C2311yescharacteristic
483#391C2312yes—
484#391C2312yes—
485#391C2311yescharacteristic
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2314yes—
496#391C2314yes—
497#391C2314yes—
498#391C2314yes—
499#391C2312yes—
500#391C2314yes—
501#391C2311yescharacteristic
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2311yescharacteristic
507#390C2312yes—
508#390C2312yes—
509#390C2314yes—
510#390C2311yescharacteristic
511#390C2312yes—
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2311yescharacteristic
516#390C2312yes—
517#390C2312yes—
518#390C2311yescharacteristic
519#390C2311yescharacteristic
520#389C2311yescharacteristic
521#389C2312yes—
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#388C2312yes—
560#388C2312yes—
561#388C2312yes—
562#388C2312yes—
563#388C2312yes—
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#387C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2312yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2312yes—
658#386C2312yes—
659#386C2312yes—
660#386C2312yes—
661#386C2312yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2312yes—
680#385C2312yes—
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2312yes—
686#384C2312yes—
687#383C2312yes—
688#383C2314yes—
689#383C2314yes—
690#383C2314yes—
691#383C2314yes—
692#382C2312yes—
693#382C2311yescharacteristic
694#382C2311yescharacteristic
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2311yescharacteristic
699#382C2314yes—
700#382C2314yes—
701#382C2312yes—
702#382C2311yescharacteristic
703#381C2314yes—
704#381C2314yes—
705#381C2314yes—
706#381C2312yes—
707#380C2312yes—
708#380C2311yescharacteristic
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2314yes—
716#380C2314yes—
717#380C2314yes—
718#380C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2314yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C22⋊C4C2312yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803#376C2314yes—
804#376C2314yes—
805#376C2314yes—
806#376C2312yes—
807#376C2312yes—
808C2×#95C2314yes—
809C2×#95C2314yes—
810C2×#95C2314yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2312yes—
818C43C2311yescharacteristic
819C43C2311yescharacteristic
820C2×#41—24no—
821C2×#41—42no—
822C2×#41—42no—
823C2×#41—42no—
824C2×#41—42no—
825C2×#41#4118yes—
826C22×Q8—28no—
827C22×Q8—44no—
828C22×Q8—44no—
829C22×Q8C2411yescharacteristic
830C22×Q8C2412yes—
831C22×Q8C2411yescharacteristic
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2414yes—
835C22×D4C2411yescharacteristic
836C22×D4C2414yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2414yes—
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C4⋊Q8—24no—
866C4⋊Q8—24no—
867C4⋊Q8—24no—
868C4⋊Q8—44no—
869C4⋊Q8—44no—
870#127—24no—
871#126—28no—
872#126—216no—
873#126—48no—
874#126—48no—
875#125—24no—
876#125—28no—
877#125—44no—
878#125—44no—
879#124—24no—
880#124—24no—
881#124—24no—
882#124—28no—
883#124—216no—
884#124—44no—
885#123—216no—
886#123—28no—
887C22⋊Q8—28no—
888C22⋊Q8—216no—
889C22⋊Q8—24no—
890C22⋊Q8—48no—
891C22⋊Q8—48no—
892C22⋊Q8—48no—
893C22⋊Q8—44no—
894C22⋊Q8—44no—
895C22⋊Q8—44no—
896C22⋊Q8—44no—
897C22⋊Q8—44no—
898#121—24no—
899#121—28no—
900#121—28no—
901#121—28no—
902#121—216no—
903#121—28no—
904#121—28no—
905#121—216no—
906#121—44no—
907C4×Q8—28no—
908C4×Q8—24no—
909C4×Q8—24no—
910C4×Q8—24no—
911C4×Q8—24no—
912C4×Q8—24no—
913C4×Q8—44no—
914C4×Q8—44no—
915C4×Q8—42no—
916C4×Q8—42no—
917C4×Q8—44no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—28no—
921C4×D4—28no—
922C4×D4—216no—
923C4×D4—216no—
924C4×D4—28no—
925C4×D4—24no—
926C4×D4—24no—
927C4×D4—24no—
928C4×D4—28no—
929C4×D4—24no—
930C4×D4—44no—
931C4×D4—48no—
932C4×D4—44no—
933C4×D4—42no—
934C4×D4—42no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—48no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4#4118yescomplemented
946#117—28no—
947#117—28no—
948#117—44no—
949#117—44no—
950#117—44no—
951#117—42no—
952#117—42no—
953#117—44no—
954C2×C4⋊C4—28no—
955C2×C4⋊C4—48no—
956C2×C4⋊C4—44no—
957C2×C4⋊C4—44no—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C42—24no—
1069C2×C42—24no—
1070C2×C42—24no—
1071C2×C42—24no—
1072C2×C42—44no—
1073C2×C42—44no—
1074C2×C42—44no—
1075C2×C42—42no—
1076C2×C42—42no—
1077C2×C42—42no—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2414yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2414yes—
1115C2×C42C2414yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195C24C2512yes—
1196C24C2511yescharacteristic
1197C24C2512yes—
1198C24C2512yes—
1199#41—416no—
1200#41—416no—
1201C2×Q8—22no—
1202C2×Q8—24no—
1203C2×Q8—22no—
1204C2×Q8—28no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—24no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—24no—
1213C2×Q8—22no—
1214C2×Q8—42no—
1215C2×Q8—44no—
1216C2×Q8—42no—
1217C2×Q8—44no—
1218C2×Q8—816no—
1219C2×Q8C2×#4114yes—
1220C2×D4—28no—
1221C2×D4—28no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—28no—
1228C2×D4—24no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—44no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4C2×#4114yes—
1248C2×D4C2×#4114yes—
1249C2×D4C2×#4118yes—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—28no—
1275C22×C4—28no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—41no—
1282C22×C4—42no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4C2×#4114yes—
1308C22×C4C2×#4118yes—
1309C22×C4C2×#4118yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2514yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2514yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2514yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2514yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C4⋊C4—24no—
1342C4⋊C4—28no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—28no—
1350C4⋊C4—28no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—28no—
1354C4⋊C4—24no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—28no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—24no—
1365C4⋊C4—22no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—22no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—28no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—44no—
1389C4⋊C4—42no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4C2×#4114yes—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—28no—
1407C22⋊C4—28no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—28no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—28no—
1414C22⋊C4—28no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4C2×#4118yes—
1451C42—22no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—24no—
1459C42—28no—
1460C42—28no—
1461C42—24no—
1462C42—22no—
1463C42—22no—
1464C42—22no—
1465C42—24no—
1466C42—24no—
1467C42—24no—
1468C42—22no—
1469C42—22no—
1470C42—22no—
1471C42—24no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—22no—
1476C42—24no—
1477C42—22no—
1478C42—22no—
1479C42—28no—
1480C42—41no—
1481C42—42no—
1482C42—41no—
1483C42—41no—
1484C42—42no—
1485C42—41no—
1486C42—41no—
1487C42—41no—
1488C42—42no—
1489C42—42no—
1490C42—42no—
1491C42—42no—
1492C42—42no—
1493C42—44no—
1494C42—42no—
1495C42—44no—
1496C42—44no—
1497C42C2×#4114yes—
1498C42H(5,𝔽2)14yes—
1499C422−1+414yes—
1500C23—21no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—21no—
1506C23—22no—
1507C23—22no—
1508C23—21no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—21no—
1513C23—21no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—21no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23C22×#4114yes—
1526C23C22×#4114yes—
1527C23C22×#4112yes—
1528C23C2611yescharacteristic
1529Q8—28no—
1530Q8—48no—
1531Q8—44no—
1532Q8—44no—
1533Q8—84no—
1534Q8—88no—
1535D4—28no—
1536D4—28no—
1537D4—48no—
1538D4—48no—
1539D4—48no—
1540D4—48no—
1541D4—416no—
1542D4—48no—
1543D4—44no—
1544D4—88no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—28no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—24no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—24no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—24no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—48no—
1624C2×C4—48no—
1625C2×C4—44no—
1626C2×C4—44no—
1627C2×C4—44no—
1628C2×C4—44no—
1629C2×C4—44no—
1630C2×C4—48no—
1631C2×C4—48no—
1632C2×C4—44no—
1633C2×C4—48no—
1634C2×C4—48no—
1635C2×C4—88no—
1636C2×C4—84no—
1637C2×C4—84no—
1638C2×C4—84no—
1639C2×C4—88no—
1640C2×C4—164no—
1641C2×C4—164no—
1642C2×C4C22×#4112yes—
1643C2×C4C22×#4114yes—
1644C2×C4C22×#4112yes—
1645C2×C4C22×#4114yes—
1646C2×C4C22×#4112yes—
1647C2×C4C22×#4112yes—
1648C2×C4C22×#4112yes—
1649C2×C4C2×H(5,𝔽2)12yes—
1650C2×C4C2×H(5,𝔽2)12yes—
1651C2×C4C2×H(5,𝔽2)12yes—
1652C2×C4C2×2−1+412yes—
1653C2×C4C2×2−1+412yes—
1654C2×C4C2×2−1+412yes—
1655C2×C4#58512yes—
1656C2×C4#58512yes—
1657C2×C4#58512yes—
1658C22—22no—
1659C22—24no—
1660C22—24no—
1661C22—24no—
1662C22—22no—
1663C22—24no—
1664C22—22no—
1665C22—24no—
1666C22—24no—
1667C22—42no—
1668C22—41no—
1669C22—42no—
1670C22—41no—
1671C22—42no—
1672C22—42no—
1673C22—41no—
1674C22—42no—
1675C22—42no—
1676C22—41no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22C23×#4111yescharacteristic
1687C22C23×#4111yescharacteristic
1688C22C22×H(5,𝔽2)11yescharacteristic
1689C22C22×2−1+411yescharacteristic
1690C22C2×#58511yescharacteristic
1691C22C2×#58511yescharacteristic
1692C22C2×#58511yescharacteristic
1693C4—22no—
1694C4—24no—
1695C4—22no—
1696C4—24no—
1697C4—22no—
1698C4—22no—
1699C4—22no—
1700C4—22no—
1701C4—22no—
1702C4—22no—
1703C4—42no—
1704C4—42no—
1705C4—44no—
1706C4—41no—
1707C4—44no—
1708C4—42no—
1709C4—41no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C4—41no—
1714C4—42no—
1715C4—42no—
1716C4—42no—
1717C4—44no—
1718C4—42no—
1719C4—41no—
1720C4—44no—
1721C4—42no—
1722C4#350514yes—
1723C4#351114yes—
1724C2—42no—
1725C2—44no—
1726C2—44no—
1727C2—82no—
1728C2#41211yescharacteristic
1729C2C2×#350511yescharacteristic
1730C2#6278111yescharacteristic
1731C2C2×#351111yescharacteristic
1732C2#6280511yescharacteristic
1733C2#6283011yescharacteristic
1734C2#6283111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59698C2semidirect
2. #59660C2semidirect
3. #59529C2semidirect
4. #59481C2semidirect
5. #59437C2semidirect
6. #59435C2semidirect
7. #59421C2semidirect
8. #59231C2semidirect
9. #59215C2semidirect
10. #40316C2semidirect
11. #40296C2semidirect
12. #39914C2semidirect
13. #39904C2semidirect
14. #39864C2semidirect
15. #39856C2semidirect
16. #36635C2semidirect
17. #36536C2semidirect
18. #36534C2semidirect
19. #36492C2semidirect
20. #36468C2semidirect
21. #36449C2semidirect
22. #36444C2semidirect
23. #36405C2semidirect
24. #36387C2semidirect
25. #36306C2semidirect
26. #36285C2semidirect
27. #36276C2semidirect
28. #36275C2semidirect
29. #35503C2semidirect
30. #35110C2semidirect
31. #35036C2semidirect
32. #34327C2semidirect
33. #34323C2semidirect
34. C4×#532C2semidirect
35. C4×#529C2semidirect
945. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#596982
#596602
#595292
#594812
#594372
#594352
#594212
#592312
#592152
#403162
#402962
#399142
#399042
#398642
#398562
#366352
#365362
#365342
#364922
#364682
#364492
#364442
#364052
#363872
#363062
#362852
#362762
#362752
#355032
#351102
#350362
#343272
#343232
C4×#5322
C4×#5292