Finite Group Databasebeta

← #7678178

Subgroups — #7678178

Order 512.

5136 conjugacy classes of subgroups.

The subgroup lattice has 1704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59750C212yesmaximal, complemented
2#59646C211yesmaximal, characteristic, complemented
3#59644C212yesmaximal, complemented
4#59640C211yesmaximal, characteristic, complemented
5#59581C212yesmaximal, complemented
6#59500C212yesmaximal, complemented
7#59456C211yesmaximal, characteristic, complemented
8#59421C211yesmaximal, characteristic, complemented
9#59321C211yesmaximal, characteristic, complemented
10#59303C211yesmaximal, characteristic, complemented
11#59080C211yesmaximal, characteristic, complemented
12#59049C211yesmaximal, characteristic, complemented
13#45285C212yesmaximal, complemented
14#45283C212yesmaximal, complemented
15#45260C212yesmaximal, complemented
16#45247C212yesmaximal, complemented
17#44310C214yesmaximal, complemented
18#44199C214yesmaximal, complemented
19#40442C214yesmaximal, complemented
20#40054C212yesmaximal, complemented
21#40047C212yesmaximal, complemented
22#38587C214yesmaximal, complemented
23#36494C212yesmaximal, complemented
24#36302C212yesmaximal, complemented
25#35678C212yesmaximal, complemented
26#35601C212yesmaximal, complemented
27#35194C212yesmaximal, complemented
28#35171C211yesmaximal, characteristic, complemented
29#34954C211yesmaximal, characteristic, complemented
30#34915C211yesmaximal, characteristic, complemented
31#34312C212yesmaximal, complemented
32#34311C211yesmaximal, characteristic, complemented
33#34207C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35C4×#542C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#548C2212yes—
39C2×#542C2211yescharacteristic
40C2×#540C2212yes—
41C2×#532C2211yescharacteristic
42C2×#520C2212yes—
43C2×#519C2212yes—
44#2865C2214yes—
45#2861C2214yes—
46#2856C2212yes—
47#2854C2212yes—
48#2803C2214yes—
49#2803C2214yes—
50#2803C2214yes—
51#2798C2214yes—
52#2797C2214yes—
53#2795C2214yes—
54#2791C2214yes—
55#2779C2214yes—
56#2764C2214yes—
57#2756C2214yes—
58#2755C2214yes—
59#2754C2214yes—
60#2753C2214yes—
61#2748C2214yes—
62#2747C2214yes—
63#2741C2214yes—
64#2714C2214yes—
65#2712C2214yes—
66#2702C2214yes—
67#2702C2214yes—
68#2701C2214yes—
69#2692C2214yes—
70#2676C2214yes—
71#2671C2214yes—
72#2661C2214yes—
73#2651C2214yes—
74#2650C2214yes—
75#2602C2214yes—
76#2602C2214yes—
77#2597C2212yes—
78#2597C2214yes—
79#2596C2212yes—
80#2595C2212yes—
81#2595C2214yes—
82#2594C2212yes—
83#2593C2214yes—
84#2593C2214yes—
85#2592C2212yes—
86#2591C2214yes—
87#2591C2214yes—
88#2589C2214yes—
89#2585C2214yes—
90#2584C2212yes—
91#2582C2211yescharacteristic
92#2578C2214yes—
93#2577C2214yes—
94#2576C2214yes—
95#2571C2211yescharacteristic
96#2565C2212yes—
97#2565C2212yes—
98#2560C2214yes—
99#2558C2214yes—
100#2557C2214yes—
101#2555C2214yes—
102#2552C2211yescharacteristic
103#2552C2212yes—
104#2548C2212yes—
105#2548C2212yes—
106#2548C2212yes—
107#2548C2211yescharacteristic
108#2548C2211yescharacteristic
109#2544C2212yes—
110#2541C2211yescharacteristic
111#2541C2211yescharacteristic
112#2540C2212yes—
113#2537C2211yescharacteristic
114#2531C2214yes—
115#2531C2214yes—
116#2531C2214yes—
117#2527C2214yes—
118#2518C2214yes—
119#2513C2211yescharacteristic
120#2513C2212yes—
121#2513C2212yes—
122#2513C2212yes—
123#2511C2212yes—
124#2509C2211yescharacteristic
125#2508C2212yes—
126#2507C2212yes—
127#2506C2212yes—
128#2502C2212yes—
129#2500C2212yes—
130#2500C2212yes—
131#2500C2212yes—
132#2500C2212yes—
133#2497C2212yes—
134#2497C2212yes—
135#2494C2211yescharacteristic
136#2492C2212yes—
137#2491C2212yes—
138#2491C2212yes—
139#2490C2211yescharacteristic
140#2490C2212yes—
141#2490C2212yes—
142#2490C2214yes—
143#2476C2214yes—
144#2476C2214yes—
145#2476C2214yes—
146#2476C2214yes—
147#2476C2214yes—
148#2475C2214yes—
149#2474C2214yes—
150#2473C2214yes—
151#2470C2214yes—
152#2467C2214yes—
153#2467C2214yes—
154#2464C2214yes—
155#2464C2214yes—
156#2463C2214yes—
157#2459C2214yes—
158#2458C2214yes—
159#2458C2214yes—
160#2458C2214yes—
161#2458C2214yes—
162#2457C2214yes—
163#2453C2212yes—
164#2453C2211yescharacteristic
165#2452C2212yes—
166#2451C2212yes—
167#2448C2211yescharacteristic
168#2448C2212yes—
169#2448C2212yes—
170#2448C2212yes—
171#2445C2212yes—
172#2442C2212yes—
173#2439C2212yes—
174#2436C2212yes—
175#2436C2212yes—
176#2431C2212yes—
177#2428C2212yes—
178#2428C2212yes—
179#2428C2212yes—
180#2427C2214yes—
181#2427C2212yes—
182#2427C2212yes—
183#2426C2212yes—
184#2426C2211yescharacteristic
185#2426C2212yes—
186#2422C2212yes—
187#2422C2212yes—
188#2421C2212yes—
189#2421C2211yescharacteristic
190#2420C2212yes—
191#2416C2212yes—
192#2416C2212yes—
193#2414C2214yes—
194#2414C2212yes—
195#2413C2214yes—
196#2407C2212yes—
197#2401C2212yes—
198#2395C2214yes—
199#2395C2212yes—
200#2373C2214yes—
201#2367C2214yes—
202#2367C2212yes—
203#2367C2212yes—
204#2366C2212yes—
205#2365C2211yescharacteristic
206#2365C2212yes—
207#2365C2211yescharacteristic
208#2363C2214yes—
209#2363C2212yes—
210#2363C2212yes—
211#2363C2212yes—
212#2363C2212yes—
213#2362C2214yes—
214#2362C2212yes—
215#2362C2212yes—
216#2361C2212yes—
217#2361C2212yes—
218#2361C2212yes—
219#2361C2212yes—
220#2360C2214yes—
221#2360C2212yes—
222#2357C2212yes—
223#2356C2212yes—
224#2355C2212yes—
225#2355C2211yescharacteristic
226#2354C2212yes—
227#2354C2211yescharacteristic
228#2354C2212yes—
229#2354C2211yescharacteristic
230#2354C2212yes—
231#2352C2214yes—
232#2352C2212yes—
233#2352C2212yes—
234#2351C2212yes—
235Q8×C4⋊C4C2211yescharacteristic
236D4×C4⋊C4C2212yes—
237D4×C4⋊C4C2212yes—
238#2347C2212yes—
239#2345C2212yes—
240#2341C2212yes—
241Q8×C22⋊C4C2212yes—
242Q8×C22⋊C4C2212yes—
243#2337C2212yes—
244#2335C2212yes—
245#2334C2212yes—
246#2332C2212yes—
247#2331C2211yescharacteristic
248#2326C2211yescharacteristic
249#2326C2212yes—
250#2326C2212yes—
251#2324C2212yes—
252#2324C2214yes—
253#2324C2211yescharacteristic
254#2323C2212yes—
255#2323C2214yes—
256#2323C2211yescharacteristic
257#2323C2214yes—
258#2320C2211yescharacteristic
259#2319C2211yescharacteristic
260#2314C2211yescharacteristic
261#2311C2212yes—
262C4×C4⋊Q8C2212yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2211yescharacteristic
266C4×#127C2211yescharacteristic
267C4×#127C2211yescharacteristic
268C4×#125C2211yescharacteristic
269C4×#126C2212yes—
270C4×#126C2214yes—
271C4×#124C2212yes—
272C4×#124C2214yes—
273C4×#124C2212yes—
274C4×#124C2211yescharacteristic
275C4×#124C2211yescharacteristic
276C4×#124C2212yes—
277C4×#124C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282C4×#123C2212yes—
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285#2298C2212yes—
286#2293C2211yescharacteristic
287#2293C2212yes—
288#2293C2212yes—
289#2293C2214yes—
290#2293C2212yes—
291#2293C2212yes—
292C2×#384C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2212yes—
295C42×Q8C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C22×#41C2312yes—
300C23×Q8C2312yes—
301#556—28no—
302D4×Q8—28no—
303#548—216no—
304#542—28no—
305#540—48no—
306#532—28no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×#127C2311yescharacteristic
311C2×#127C2312yes—
312C2×#127C2312yes—
313C2×#126C2314yes—
314C2×#126C2312yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#124C2312yes—
319C2×#124C2311yescharacteristic
320C2×#124C2312yes—
321C2×#124C2314yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2311yescharacteristic
326C2×#124C2314yes—
327C2×#123C2312yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×#121C2314yes—
339C2×#121C2312yes—
340C2×#121C2311yescharacteristic
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2314yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2314yes—
348C2×#121C2312yes—
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353#520—48no—
354#519—48no—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2314yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2314yes—
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×#117C2311yescharacteristic
389C2×#117C2312yes—
390C2×#117C2311yescharacteristic
391C2×#117C2312yes—
392C2×#117C2314yes—
393C2×#117C2314yes—
394C2×#117C2314yes—
395C2×#117C2312yes—
396C2×#117C2312yes—
397C2×#117C2314yes—
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2314yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C42C2311yescharacteristic
403C22×C42C2312yes—
404#401C2312yes—
405#400C2314yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2312yes—
412#400C2312yes—
413#400C2314yes—
414#400C2312yes—
415#399C2314yes—
416#399C2312yes—
417#399C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2312yes—
437#397C2312yes—
438#397C2312yes—
439#397C2312yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#396C2314yes—
445#396C2312yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#395C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2312yes—
462#394C2312yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#391C2314yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2314yes—
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2312yes—
492#391C2311yescharacteristic
493#391C2312yes—
494#391C2314yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2314yes—
499#391C2311yescharacteristic
500#391C2312yes—
501#391C2314yes—
502#391C2311yescharacteristic
503#390C2314yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2312yes—
513#390C2314yes—
514#390C2312yes—
515#390C2314yes—
516#390C2312yes—
517#390C2312yes—
518#390C2314yes—
519#390C2312yes—
520#390C2314yes—
521#390C2312yes—
522#390C2314yes—
523#390C2311yescharacteristic
524#390C2314yes—
525#390C2314yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2311yescharacteristic
530#390C2314yes—
531#390C2312yes—
532#390C2314yes—
533#390C2314yes—
534#390C2311yescharacteristic
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2314yes—
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2312yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2314yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#387C2312yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2314yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2312yes—
683#386C2312yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2312yes—
699#385C2312yes—
700#385C2314yes—
701#385C2312yes—
702#385C2312yes—
703#385C2314yes—
704#385C2314yes—
705#384C2311yescharacteristic
706#384C2311yescharacteristic
707#384C2311yescharacteristic
708#384C2312yes—
709#384C2312yes—
710#384C2312yes—
711#384C2312yes—
712#384C2312yes—
713#383C2312yes—
714#383C2314yes—
715#382C2311yescharacteristic
716#382C2312yes—
717#382C2312yes—
718#382C2311yescharacteristic
719#382C2312yes—
720#382C2312yes—
721#382C2314yes—
722#382C2311yescharacteristic
723#381C2312yes—
724#381C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2314yes—
738#380C2312yes—
739#380C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810#376C2311yescharacteristic
811#376C2311yescharacteristic
812#376C2314yes—
813C43C2312yes—
814C43C2314yes—
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2312yes—
818C2×#41—28no—
819C2×#41—28no—
820C2×#41—44no—
821C22×Q8—28no—
822C22×Q8—28no—
823C22×Q8—44no—
824C22×Q8C2411yescharacteristic
825C22×Q8C2414yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2414yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2414yes—
853C23×C4C2414yes—
854C4⋊Q8—24no—
855C4⋊Q8—28no—
856C4⋊Q8#4118yes—
857#127—24no—
858#127—44no—
859#127—44no—
860#126—28no—
861#126—216no—
862#125—42no—
863#125—44no—
864#125—84no—
865#124—28no—
866#124—24no—
867#124—28no—
868#124—28no—
869#124—28no—
870#124—216no—
871#124—42no—
872#124—44no—
873#124—84no—
874#123—28no—
875#123—48no—
876#123—48no—
877#123—84no—
878C22⋊Q8—28no—
879C22⋊Q8—28no—
880C22⋊Q8—216no—
881C22⋊Q8—216no—
882C22⋊Q8—28no—
883C22⋊Q8—42no—
884C22⋊Q8#4118yes—
885#121—24no—
886#121—28no—
887#121—28no—
888#121—28no—
889#121—216no—
890#121—48no—
891#121—48no—
892#121—44no—
893#121—42no—
894#121—44no—
895#121—44no—
896#121—44no—
897#121—44no—
898#121—84no—
899#121—84no—
900C4×Q8—24no—
901C4×Q8—28no—
902C4×Q8—28no—
903C4×Q8—24no—
904C4×Q8—24no—
905C4×Q8—24no—
906C4×Q8—28no—
907C4×Q8—44no—
908C4×Q8—48no—
909C4×Q8—48no—
910C4×Q8—42no—
911C4×Q8—42no—
912C4×Q8—44no—
913C4×Q8—44no—
914C4×Q8—44no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—24no—
919C4×D4—216no—
920C4×D4—28no—
921C4×D4—24no—
922C4×D4—24no—
923C4×D4—28no—
924C4×D4—24no—
925C4×D4—48no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—48no—
931C4×D4—82no—
932C4×D4—82no—
933#117—24no—
934#117—28no—
935#117—28no—
936#117—24no—
937#117—48no—
938#117—48no—
939#117—48no—
940#117—44no—
941#117—44no—
942#117—84no—
943C2×C4⋊C4—44no—
944C2×C4⋊C4—48no—
945C2×C4⋊C4—44no—
946C2×C4⋊C4—82no—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C42—24no—
1072C2×C42—44no—
1073C2×C42C2414yes—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2414yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2414yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114#95C2412yes—
1115#95C2414yes—
1116#95C2411yescharacteristic
1117#95C2414yes—
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182C24C2512yes—
1183C24C2512yes—
1184C24C2514yes—
1185C24C2511yescharacteristic
1186#41—432no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—28no—
1191C2×Q8—28no—
1192C2×Q8—24no—
1193C2×Q8—22no—
1194C2×Q8—24no—
1195C2×Q8—22no—
1196C2×Q8—22no—
1197C2×Q8—44no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×Q8—432no—
1201C2×Q8C2×#4118yes—
1202C2×Q8C2×#4114yes—
1203C2×D4—28no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—22no—
1211C2×D4—28no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—28no—
1215C2×D4—24no—
1216C2×D4—22no—
1217C2×D4—24no—
1218C2×D4—22no—
1219C2×D4—24no—
1220C2×D4—22no—
1221C2×D4—44no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—24no—
1247C22×C4—28no—
1248C22×C4—28no—
1249C22×C4—24no—
1250C22×C4—28no—
1251C22×C4—24no—
1252C22×C4—28no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—22no—
1256C22×C4—24no—
1257C22×C4—22no—
1258C22×C4—24no—
1259C22×C4—28no—
1260C22×C4—24no—
1261C22×C4—44no—
1262C22×C4—41no—
1263C22×C4—44no—
1264C22×C4—41no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4C2×#4114yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2514yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2514yes—
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2514yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—28no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—28no—
1321C4⋊C4—24no—
1322C4⋊C4—28no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—28no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4C2×#4118yes—
1369C4⋊C4C2×#4118yes—
1370C4⋊C4C2×#4114yes—
1371C4⋊C4C2×#4118yes—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—24no—
1375C22⋊C4—28no—
1376C22⋊C4—24no—
1377C22⋊C4—28no—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—24no—
1381C22⋊C4—28no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—28no—
1385C22⋊C4—28no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—28no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—28no—
1395C22⋊C4—24no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4C2×#4118yes—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—28no—
1438C42—22no—
1439C42—28no—
1440C42—24no—
1441C42—24no—
1442C42—24no—
1443C42—24no—
1444C42—22no—
1445C42—24no—
1446C42—28no—
1447C42—24no—
1448C42—22no—
1449C42—24no—
1450C42—22no—
1451C42—22no—
1452C42—24no—
1453C42—22no—
1454C42—42no—
1455C42—42no—
1456C42—41no—
1457C42—42no—
1458C42—41no—
1459C42—42no—
1460C42—44no—
1461C42—44no—
1462C42—44no—
1463C42—44no—
1464C42—44no—
1465C42—42no—
1466C42—42no—
1467C42—41no—
1468C42—41no—
1469C42—42no—
1470C42—42no—
1471C42—44no—
1472C42C2×#4114yes—
1473C42H(5,𝔽2)14yes—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—24no—
1484C23—24no—
1485C23—22no—
1486C23—22no—
1487C23—24no—
1488C23—22no—
1489C23—22no—
1490C23—24no—
1491C23—24no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—24no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—24no—
1501C23C22×#4112yes—
1502C23C2611yescharacteristic
1503Q8—28no—
1504Q8—216no—
1505Q8—416no—
1506Q8—44no—
1507Q8—84no—
1508D4—416no—
1509D4—48no—
1510D4—44no—
1511D4—48no—
1512D4—44no—
1513D4—48no—
1514D4—88no—
1515D4—84no—
1516D4—84no—
1517D4—164no—
1518D4—164no—
1519D4—164no—
1520D4—164no—
1521C2×C4—21no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—28no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—24no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—416no—
1603C2×C4—416no—
1604C2×C4—44no—
1605C2×C4—48no—
1606C2×C4—44no—
1607C2×C4—48no—
1608C2×C4—84no—
1609C2×C4—84no—
1610C2×C4—88no—
1611C2×C4—164no—
1612C2×C4—164no—
1613C2×C4C22×#4114yes—
1614C2×C4C22×#4112yes—
1615C2×C4C22×#4114yes—
1616C2×C4C22×#4118yes—
1617C2×C4C22×#4112yes—
1618C2×C4C22×#4112yes—
1619C2×C4C22×#4112yes—
1620C2×C4C22×#4112yes—
1621C2×C4C2×H(5,𝔽2)12yes—
1622C2×C4C2×H(5,𝔽2)12yes—
1623C2×C4C2×H(5,𝔽2)12yes—
1624C2×C4#58512yes—
1625C2×C4#58512yes—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—42no—
1634C22—42no—
1635C22—44no—
1636C22—42no—
1637C22—44no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—44no—
1642C22—44no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—44no—
1648C22—44no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—44no—
1653C22—42no—
1654C22C23×#4111yescharacteristic
1655C22C23×#4111yescharacteristic
1656C22C22×H(5,𝔽2)11yescharacteristic
1657C22C2×#58511yescharacteristic
1658C22C2×#58511yescharacteristic
1659C22H(7,𝔽2)11yescharacteristic
1660C222−1+611yescharacteristic
1661C4—24no—
1662C4—22no—
1663C4—22no—
1664C4—22no—
1665C4—22no—
1666C4—28no—
1667C4—24no—
1668C4—41no—
1669C4—42no—
1670C4—42no—
1671C4—41no—
1672C4—42no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—42no—
1677C4—42no—
1678C4—42no—
1679C4—42no—
1680C4—41no—
1681C4—41no—
1682C4—42no—
1683C4—42no—
1684C4—42no—
1685C4—44no—
1686C4—44no—
1687C4—41no—
1688C4—42no—
1689C4—42no—
1690C4#348114yes—
1691C4#352414yes—
1692C2—42no—
1693C2—82no—
1694C2—82no—
1695C2—84no—
1696C2C2×#348111yescharacteristic
1697C2C2×#352411yescharacteristic
1698C2#6285111yescharacteristic
1699C2#6293111yescharacteristic
1700C2#6296111yescharacteristic
1701C2#6299411yescharacteristic
1702C2#6300711yescharacteristic
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. #59750C2semidirect
2. #59646C2semidirect
3. #59644C2semidirect
4. #59640C2semidirect
5. #59581C2semidirect
6. #59500C2semidirect
7. #59456C2semidirect
8. #59421C2semidirect
9. #59321C2semidirect
10. #59303C2semidirect
11. #59080C2semidirect
12. #59049C2semidirect
13. #45285C2semidirect
14. #45283C2semidirect
15. #45260C2semidirect
16. #45247C2semidirect
17. #44310C2semidirect
18. #44199C2semidirect
19. #40442C2semidirect
20. #40054C2semidirect
21. #40047C2semidirect
22. #38587C2semidirect
23. #36494C2semidirect
24. #36302C2semidirect
25. #35678C2semidirect
26. #35601C2semidirect
27. #35194C2semidirect
28. #35171C2semidirect
29. #34954C2semidirect
30. #34915C2semidirect
31. #34312C2semidirect
32. #34311C2semidirect
33. #34207C2semidirect
34. C4×#556C2semidirect
35. C4×#542C2semidirect

Maximal subgroups

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

subgroupindex
#597502
#596462
#596442
#596402
#595812
#595002
#594562
#594212
#593212
#593032
#590802
#590492
#452852
#452832
#452602
#452472
#443102
#441992
#404422
#400542
#400472
#385872
#364942
#363022
#356782
#356012
#351942
#351712
#349542
#349152
#343122
#343112
#342072
C4×#5562
C4×#5422