Finite Group Databasebeta

← #7806361

Subgroups — #7806361

Order 512.

4656 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59869C211yesmaximal, characteristic, complemented
2#59712C212yesmaximal, complemented
3#59667C211yesmaximal, characteristic, complemented
4#59565C212yesmaximal, complemented
5#59507C212yesmaximal
6#59464C212yesmaximal, complemented
7#59450C211yesmaximal, characteristic, complemented
8#59425C212yesmaximal, complemented
9#59413C211yesmaximal, characteristic, complemented
10#59383C212yesmaximal, complemented
11#59248C211yesmaximal, characteristic, complemented
12#59235C211yesmaximal, characteristic
13#59144C211yesmaximal, characteristic, complemented
14#59127C211yesmaximal, characteristic
15#59096C212yesmaximal, complemented
16#59071C212yesmaximal, complemented
17#47147C214yesmaximal, complemented
18#46992C214yesmaximal, complemented
19#42853C212yesmaximal, complemented
20#42844C212yesmaximal, complemented
21#42753C212yesmaximal, complemented
22#42733C212yesmaximal, complemented
23#42120C214yesmaximal, complemented
24#37630C211yesmaximal, characteristic, complemented
25#35946C214yesmaximal, complemented
26#35919C212yesmaximal, complemented
27#35910C212yesmaximal, complemented
28#35885C212yesmaximal
29#35871C212yesmaximal, complemented
30#34975C211yesmaximal, characteristic, complemented
31#34969C211yesmaximal, characteristic
32#34929C211yesmaximal, characteristic, complemented
33#34334C211yesmaximal, characteristic, complemented
34#34328C211yesmaximal, characteristic, complemented
35#34216C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#557C2212yes—
38C2×D4×Q8C2211yescharacteristic
39C2×D4×Q8C2212yes—
40C2×#533C2212yes—
41C22×C4⋊Q8C2211yescharacteristic
42#2839C2214yes—
43#2833C2214yes—
44#2833C2214yes—
45#2809C2214yes—
46#2805C2214yes—
47#2789C2214yes—
48#2789C2214yes—
49#2788C2214yes—
50#2787C2214yes—
51#2774C2214yes—
52#2774C2214yes—
53#2771C2214yes—
54#2770C2214yes—
55#2762C2214yes—
56#2758C2214yes—
57#2750C2214yes—
58#2747C2214yes—
59#2745C2214yes—
60#2744C2214yes—
61#2719C2214yes—
62#2719C2214yes—
63#2713C2214yes—
64#2713C2214yes—
65#2713C2214yes—
66#2704C2214yes—
67#2704C2214yes—
68#2677C2214yes—
69#2666C2214yes—
70#2665C2214yes—
71#2655C2214yes—
72#2655C2214yes—
73#2652C2214yes—
74#2652C2214yes—
75#2647C2212yes—
76#2645C2212yes—
77#2645C2212yes—
78#2642C2212yes—
79#2642C2214yes—
80#2609C2214yes—
81#2605C2214yes—
82#2599C2214yes—
83#2589C2214yes—
84#2588C2214yes—
85#2588C2214yes—
86#2588C2214yes—
87#2587C2214yes—
88#2582C2211yescharacteristic
89#2581C2212yes—
90#2578C2214yes—
91#2576C2214yes—
92#2575C2214yes—
93#2575C2214yes—
94#2571C2212yes—
95#2571C2212yes—
96#2568C2211yescharacteristic
97#2568C2212yes—
98#2568C2214yes—
99#2568C2212yes—
100#2562C2214yes—
101#2562C2212yes—
102#2556C2214yes—
103#2556C2214yes—
104#2553C2214yes—
105#2552C2211yescharacteristic
106#2551C2212yes—
107#2551C2211yescharacteristic
108#2551C2212yes—
109#2550C2212yes—
110#2550C2212yes—
111#2549C2214yes—
112#2546C2212yes—
113#2546C2211yescharacteristic
114#2546C2212yes—
115#2546C2211yescharacteristic
116#2542C2211yescharacteristic
117#2538C2211yescharacteristic
118#2533C2212yes—
119#2530C2212yes—
120#2528C2214yes—
121#2528C2212yes—
122#2527C2214yes—
123#2527C2212yes—
124#2527C2214yes—
125#2514C2211yescharacteristic
126#2514C2212yes—
127#2514C2212yes—
128#2511C2212yes—
129#2511C2212yes—
130#2511C2211yescharacteristic
131#2509C2211yescharacteristic
132#2509C2212yes—
133#2508C2212yes—
134#2508C2212yes—
135#2508C2212yes—
136#2508C2214yes—
137#2506C2212yes—
138#2506C2212yes—
139#2506C2212yes—
140#2506C2211yescharacteristic
141#2503C2212yes—
142#2497C2212yes—
143#2496C2211yescharacteristic
144#2494C2211yescharacteristic
145#2494C2212yes—
146#2494C2212yes—
147#2493C2214yes—
148#2493C2214yes—
149#2492C2214yes—
150#2492C2214yes—
151#2492C2212yes—
152#2492C2211yescharacteristic
153#2492C2212yes—
154#2492C2212yes—
155#2489C2214yes—
156#2489C2212yes—
157#2489C2211yescharacteristic
158#2489C2214yes—
159#2489C2212yes—
160#2478C2212yes—
161#2477C2212yes—
162#2475C2212yes—
163#2475C2214yes—
164#2475C2214yes—
165#2475C2214yes—
166#2473C2214yes—
167#2470C2212yes—
168#2465C2214yes—
169#2462C2214yes—
170#2454C2212yes—
171#2453C2212yes—
172#2453C2214yes—
173#2453C2211yescharacteristic
174#2453C2212yes—
175#2452C2211yescharacteristic
176#2452C2212yes—
177#2452C2212yes—
178#2451C2212yes—
179#2451C2212yes—
180#2451C2212yes—
181#2451C2214yes—
182#2450C2214yes—
183#2449C2214yes—
184#2447C2212yes—
185#2447C2211yescharacteristic
186#2446C2212yes—
187#2446C2212yes—
188#2446C2214yes—
189#2446C2211yescharacteristic
190#2442C2212yes—
191#2440C2212yes—
192#2438C2214yes—
193#2438C2214yes—
194#2434C2212yes—
195#2434C2212yes—
196#2434C2212yes—
197#2429C2212yes—
198#2429C2214yes—
199#2429C2212yes—
200#2429C2212yes—
201#2429C2211yescharacteristic
202#2427C2211yescharacteristic
203#2423C2212yes—
204#2422C2211yescharacteristic
205#2421C2214yes—
206#2421C2212yes—
207#2421C2211yescharacteristic
208#2420C2212yes—
209#2417C2212yes—
210#2409C2212yes—
211#2402C2212yes—
212#2401C2212yes—
213#2401C2212yes—
214#2398C2214yes—
215#2398C2212yes—
216#2396C2214yes—
217#2396C2214yes—
218#2373C2214yes—
219#2371C2214yes—
220#2370C2212yes—
221#2369C2212yes—
222#2369C2212yes—
223#2369C2212yes—
224#2369C2212yes—
225#2368C2214yes—
226#2367C2212yes—
227#2365C2211yescharacteristic
228#2365C2211yescharacteristic
229#2365C2212yes—
230#2365C2212yes—
231#2365C2212yes—
232#2365C2212yes—
233#2365C2212yes—
234#2365C2212yes—
235#2361C2212yes—
236#2360C2212yes—
237#2360C2212yes—
238#2360C2212yes—
239#2359C2214yes—
240#2357C2212yes—
241#2356C2212yes—
242#2356C2212yes—
243#2355C2211yescharacteristic
244#2355C2211yescharacteristic
245#2355C2211yescharacteristic
246#2355C2212yes—
247#2354C2212yes—
248#2351C2214yes—
249#2349C2212yes—
250D4×C4⋊C4C2211yescharacteristic
251#2345C2212yes—
252#2345C2212yes—
253#2344C2212yes—
254#2343C2214yes—
255Q8×C22⋊C4C2212yes—
256Q8×C22⋊C4C2212yes—
257Q8×C22⋊C4C2212yes—
258Q8×C22⋊C4C2212yes—
259Q8×C22⋊C4C2212yes—
260#2336C2214yes—
261#2331C2212yes—
262#2331C2212yes—
263#2331C2212yes—
264#2329C2214yes—
265#2327C2212yes—
266#2316C2212yes—
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×#125C2211yescharacteristic
275C4×#125C2212yes—
276C4×#125C2212yes—
277C4×#126C2212yes—
278C4×#124C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2212yes—
284C4×C22⋊Q8C2211yescharacteristic
285C4×#123C2212yes—
286C4×#121C2211yescharacteristic
287#2295C2212yes—
288#2295C2211yescharacteristic
289#2295C2211yescharacteristic
290C2×#391C2212yes—
291#2293C2212yes—
292#2285C2211yescharacteristic
293#2276C2212yes—
294#2275C2212yes—
295#2274C2212yes—
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C23×Q8C2312yes—
300C23×Q8C2312yes—
301#557—28no—
302#557—48no—
303D4×Q8—28no—
304D4×Q8—48no—
305#533—48no—
306C2×C4⋊Q8—28no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2314yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2314yes—
321C2×C4⋊Q8C2311yescharacteristic
322C2×#126C2312yes—
323C2×#125C2312yes—
324C2×#125C2311yescharacteristic
325C2×#125C2314yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2314yes—
329C2×#125C2314yes—
330C2×#125C2314yes—
331C2×#124C2311yescharacteristic
332C2×#123C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×#121C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2314yes—
359C2×C4×Q8C2314yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2314yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2312yes—
373C2×#117C2314yes—
374C2×#117C2314yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C42C2311yescharacteristic
379C22×C42C2312yes—
380#401C2314yes—
381#401C2312yes—
382#401C2314yes—
383#401C2314yes—
384#401C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2312yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2312yes—
398#400C2312yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#400C2312yes—
411#400C2314yes—
412#400C2314yes—
413#400C2312yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#400C2312yes—
420#400C2312yes—
421#400C2312yes—
422#400C2312yes—
423#399C2314yes—
424#399C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2312yes—
444#398C2312yes—
445#398C2314yes—
446#398C2314yes—
447#397C2312yes—
448#397C2314yes—
449#397C2312yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2312yes—
455#397C2314yes—
456#397C2312yes—
457#397C2312yes—
458#397C2312yes—
459#396C2314yes—
460#396C2312yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2312yes—
465#396C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#394C2314yes—
477#394C2312yes—
478#394C2312yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2312yes—
483#393C2312yes—
484#391C2311yescharacteristic
485#391C2312yes—
486#391C2311yescharacteristic
487#391C2314yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2314yes—
494#391C2314yes—
495#391C2314yes—
496#391C2314yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2314yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2314yes—
505#391C2314yes—
506#391C2314yes—
507#391C2314yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2314yes—
513#391C2314yes—
514#391C2314yes—
515#391C2314yes—
516#391C2314yes—
517#391C2311yescharacteristic
518#391C2314yes—
519#391C2314yes—
520#391C2312yes—
521#391C2312yes—
522#391C2311yescharacteristic
523#391C2314yes—
524#391C2311yescharacteristic
525#391C2311yescharacteristic
526#391C2311yescharacteristic
527#391C2311yescharacteristic
528#391C2311yescharacteristic
529#391C2311yescharacteristic
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2311yescharacteristic
533#390C2312yes—
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2314yes—
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2312yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2311yescharacteristic
575#389C2314yes—
576#389C2314yes—
577#389C2311yescharacteristic
578#389C2314yes—
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2311yescharacteristic
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2314yes—
613#387C2312yes—
614#387C2314yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
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#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2312yes—
660#387C2314yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
671#386C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2312yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#385C2314yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2311yescharacteristic
695#384C2312yes—
696#383C2312yes—
697#383C2314yes—
698#383C2314yes—
699#382C2312yes—
700#382C2312yes—
701#382C2311yescharacteristic
702#382C2314yes—
703#382C2312yes—
704#382C2314yes—
705#382C2314yes—
706#382C2311yescharacteristic
707#382C2314yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2314yes—
712#381C2314yes—
713#381C2314yes—
714#381C2314yes—
715#381C2312yes—
716#380C2311yescharacteristic
717#380C2314yes—
718#380C2314yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2314yes—
723#380C2314yes—
724#380C2314yes—
725#380C2312yes—
726#380C2314yes—
727#380C2311yescharacteristic
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805#376C2312yes—
806#376C2311yescharacteristic
807#376C2311yescharacteristic
808#376C2312yes—
809#376C2314yes—
810#376C2314yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C22×Q8—28no—
817C22×Q8—28no—
818C22×Q8—44no—
819C22×Q8—44no—
820C22×Q8—44no—
821C22×Q8—44no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2411yescharacteristic
826C22×Q8C2414yes—
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×Q8C2414yes—
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2414yes—
839C23×C4C2414yes—
840C23×C4C2414yes—
841C23×C4C2412yes—
842C4⋊Q8—28no—
843C4⋊Q8—28no—
844C4⋊Q8—28no—
845C4⋊Q8—28no—
846C4⋊Q8—28no—
847C4⋊Q8—28no—
848C4⋊Q8—28no—
849C4⋊Q8—24no—
850C4⋊Q8—24no—
851C4⋊Q8—48no—
852C4⋊Q8—42no—
853C4⋊Q8—44no—
854C4⋊Q8—44no—
855C4⋊Q8—48no—
856C4⋊Q8#4118yes—
857#126—28no—
858#125—216no—
859#125—28no—
860#125—24no—
861#125—48no—
862#125—44no—
863#125—44no—
864#125—48no—
865#125—48no—
866#124—24no—
867#123—28no—
868C22⋊Q8—28no—
869C22⋊Q8—216no—
870C22⋊Q8—28no—
871C22⋊Q8—24no—
872C22⋊Q8—24no—
873C22⋊Q8—44no—
874C22⋊Q8—48no—
875C22⋊Q8—48no—
876C22⋊Q8—48no—
877C22⋊Q8—42no—
878C22⋊Q8—44no—
879C22⋊Q8—44no—
880#121—24no—
881C4×Q8—28no—
882C4×Q8—28no—
883C4×Q8—24no—
884C4×Q8—28no—
885C4×Q8—24no—
886C4×Q8—24no—
887C4×Q8—24no—
888C4×Q8—44no—
889C4×Q8—48no—
890C4×Q8—44no—
891C4×Q8—42no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×Q8—48no—
895C4×Q8—44no—
896C4×Q8—48no—
897C4×Q8—44no—
898C4×D4—24no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—48no—
904C4×D4—44no—
905#117—24no—
906#117—44no—
907#117—48no—
908#117—48no—
909#117—42no—
910C2×C4⋊C4—28no—
911C2×C4⋊C4—28no—
912C2×C4⋊C4—44no—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C42—24no—
1023C2×C42—44no—
1024C2×C42C2412yes—
1025C2×C42C2414yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2412yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2412yes—
1038C2×C42C2414yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2414yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2414yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064#95C2412yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2411yescharacteristic
1079#95C2411yescharacteristic
1080#95C2411yescharacteristic
1081#95C2411yescharacteristic
1082#95C2411yescharacteristic
1083#95C2411yescharacteristic
1084#95C2411yescharacteristic
1085#95C2411yescharacteristic
1086#95C2414yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158C24C2512yes—
1159C24C2511yescharacteristic
1160C2×Q8—22no—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—24no—
1164C2×Q8—28no—
1165C2×Q8—28no—
1166C2×Q8—24no—
1167C2×Q8—22no—
1168C2×Q8—28no—
1169C2×Q8—24no—
1170C2×Q8—22no—
1171C2×Q8—22no—
1172C2×Q8—22no—
1173C2×Q8—28no—
1174C2×Q8—24no—
1175C2×Q8—24no—
1176C2×Q8—22no—
1177C2×Q8—24no—
1178C2×Q8—22no—
1179C2×Q8—44no—
1180C2×Q8—42no—
1181C2×Q8—44no—
1182C2×Q8—44no—
1183C2×Q8—42no—
1184C2×Q8—44no—
1185C2×Q8—44no—
1186C2×Q8—816no—
1187C2×Q8—816no—
1188C2×Q8C2×#4118yes—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—42no—
1194C2×D42−1+414yes—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—24no—
1199C22×C4—28no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—22no—
1210C22×C4—28no—
1211C22×C4—28no—
1212C22×C4—24no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—42no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2514yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2514yes—
1243C22×C4C2512yes—
1244C22×C4C2514yes—
1245C22×C4C2512yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2514yes—
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C4⋊C4—28no—
1256C4⋊C4—28no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—24no—
1263C4⋊C4—28no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—28no—
1268C4⋊C4—28no—
1269C4⋊C4—28no—
1270C4⋊C4—28no—
1271C4⋊C4—24no—
1272C4⋊C4—28no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—28no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—24no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—28no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4C2×#4118yes—
1333C4⋊C4C2×#4118yes—
1334C4⋊C4H(5,𝔽2)14yes—
1335C4⋊C42−1+414yes—
1336C22⋊C4—22no—
1337C22⋊C4—28no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—28no—
1346C22⋊C4—24no—
1347C22⋊C4—28no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—44no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—42no—
1363C22⋊C42−1+414yes—
1364C42—22no—
1365C42—22no—
1366C42—22no—
1367C42—24no—
1368C42—28no—
1369C42—24no—
1370C42—24no—
1371C42—22no—
1372C42—24no—
1373C42—24no—
1374C42—28no—
1375C42—24no—
1376C42—22no—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—24no—
1381C42—22no—
1382C42—22no—
1383C42—24no—
1384C42—22no—
1385C42—24no—
1386C42—28no—
1387C42—22no—
1388C42—22no—
1389C42—42no—
1390C42—42no—
1391C42—41no—
1392C42—41no—
1393C42—44no—
1394C42—44no—
1395C42—44no—
1396C42—44no—
1397C42—44no—
1398C42—44no—
1399C42—42no—
1400C42—44no—
1401C42—44no—
1402C42—42no—
1403C42C2×#4114yes—
1404C23—22no—
1405C23—21no—
1406C23—22no—
1407C23—21no—
1408C23—21no—
1409C23—22no—
1410C23—22no—
1411C23—21no—
1412C23—22no—
1413C23—21no—
1414C23—22no—
1415C23—21no—
1416C23C2×2−1+412yes—
1417C23C2×2−1+414yes—
1418C23C2611yescharacteristic
1419Q8—216no—
1420Q8—416no—
1421Q8—44no—
1422Q8—48no—
1423Q8—44no—
1424Q8—44no—
1425Q8—84no—
1426Q8—88no—
1427Q8—88no—
1428D4—28no—
1429D4—48no—
1430C2×C4—28no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—24no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—24no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—24no—
1497C2×C4—21no—
1498C2×C4—24no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—48no—
1518C2×C4—48no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—84no—
1522C2×C4—88no—
1523C2×C4—88no—
1524C2×C4—88no—
1525C2×C4C22×#4112yes—
1526C2×C4C22×#4118yes—
1527C2×C4C22×#4112yes—
1528C2×C4C22×#4112yes—
1529C2×C4C2×H(5,𝔽2)14yes—
1530C2×C4C2×H(5,𝔽2)12yes—
1531C2×C4C2×2−1+412yes—
1532C2×C4C2×2−1+412yes—
1533C2×C4C2×2−1+414yes—
1534C2×C4C2×2−1+412yes—
1535C2×C4C2×2−1+412yes—
1536C2×C4#58512yes—
1537C2×C4#58512yes—
1538C22—24no—
1539C22—22no—
1540C22—24no—
1541C22—22no—
1542C22—24no—
1543C22—22no—
1544C22—42no—
1545C22—41no—
1546C22—41no—
1547C22—42no—
1548C22—41no—
1549C22—42no—
1550C22—41no—
1551C22—42no—
1552C22C23×#4111yescharacteristic
1553C22C22×H(5,𝔽2)11yescharacteristic
1554C22C22×2−1+411yescharacteristic
1555C22C22×2−1+411yescharacteristic
1556C22C22×2−1+411yescharacteristic
1557C22C2×#58511yescharacteristic
1558C22C2×#58511yescharacteristic
1559C4—24no—
1560C4—24no—
1561C4—22no—
1562C4—22no—
1563C4—28no—
1564C4—22no—
1565C4—22no—
1566C4—41no—
1567C4—44no—
1568C4—42no—
1569C4—41no—
1570C4—41no—
1571C4—42no—
1572C4—42no—
1573C4—42no—
1574C4—41no—
1575C4—41no—
1576C4—44no—
1577C4—42no—
1578C4—41no—
1579C4—42no—
1580C4—42no—
1581C4—41no—
1582C4—42no—
1583C4—44no—
1584C4—42no—
1585C4—41no—
1586C4—42no—
1587C4—42no—
1588C4—42no—
1589C4—42no—
1590C4#351414yes—
1591C4#352314yes—
1592C2—44no—
1593C2—42no—
1594C2C2×#351411yescharacteristic
1595C2C2×#352311yescharacteristic
1596C2#6278811yescharacteristic
1597C2#6301311yescharacteristic
1598C2#6301611yescharacteristic
1599C2#6302511yescharacteristic
1600C2#6303211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#121C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59869C2semidirect
2. #59712C2semidirect
3. #59667C2semidirect
4. #59565C2semidirect
6. #59464C2semidirect
7. #59450C2semidirect
8. #59425C2semidirect
9. #59413C2semidirect
10. #59383C2semidirect
11. #59248C2semidirect
13. #59144C2semidirect
15. #59096C2semidirect
16. #59071C2semidirect
17. #47147C2semidirect
18. #46992C2semidirect
19. #42853C2semidirect
20. #42844C2semidirect
21. #42753C2semidirect
22. #42733C2semidirect
23. #42120C2semidirect
24. #37630C2semidirect
25. #35946C2semidirect
26. #35919C2semidirect
27. #35910C2semidirect
29. #35871C2semidirect
30. #34975C2semidirect
32. #34929C2semidirect
33. #34334C2semidirect
34. #34328C2semidirect
35. #34216C2semidirect

Maximal subgroups

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

subgroupindex
#598692
#597122
#596672
#595652
#595072
#594642
#594502
#594252
#594132
#593832
#592482
#592352
#591442
#591272
#590962
#590712
#471472
#469922
#428532
#428442
#427532
#427332
#421202
#376302
#359462
#359192
#359102
#358852
#358712
#349752
#349692
#349292
#343342
#343282
#342162