Finite Group Databasebeta

← #7986153

Subgroups — #7986153

Order 512.

5153 conjugacy classes of subgroups.

The subgroup lattice has 1752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59647C211yesmaximal, characteristic, complemented
2#59565C212yesmaximal, complemented
3#59280C212yesmaximal, complemented
4#59248C211yesmaximal, characteristic, complemented
5#59235C211yesmaximal, characteristic, complemented
6#50477C214yesmaximal, complemented
7#49199C214yesmaximal, complemented
8#45542C214yesmaximal, complemented
9#45045C212yesmaximal, complemented
10#45040C212yesmaximal, complemented
11#44893C212yesmaximal, complemented
12#44885C212yesmaximal, complemented
13#42595C212yesmaximal, complemented
14#42547C212yesmaximal, complemented
15#42505C212yesmaximal, complemented
16#42462C212yesmaximal, complemented
17#39761C211yesmaximal, characteristic, complemented
18#39736C211yesmaximal, characteristic, complemented
19#39369C211yesmaximal, characteristic, complemented
20#39341C211yesmaximal, characteristic, complemented
21#38385C214yesmaximal, complemented
22#38285C212yesmaximal, complemented
23#37975C212yesmaximal, complemented
24#36410C211yesmaximal, characteristic, complemented
25#36273C211yesmaximal, characteristic, complemented
26#36187C211yesmaximal, characteristic, complemented
27#36118C212yesmaximal, complemented
28#36115C212yesmaximal, complemented
29#35193C212yesmaximal, complemented
30#35158C212yesmaximal, complemented
31#34793C211yesmaximal, characteristic, complemented
32#34715C211yesmaximal, characteristic, complemented
33#34494C211yesmaximal, characteristic, complemented
34#34368C211yesmaximal, characteristic, complemented
35#34127C211yesmaximal, characteristic, complemented
36C2×#555C2212yes—
37C2×#555C2212yes—
38C2×#550C2211yescharacteristic
39C2×#544C2212yes—
40C2×#537C2212yes—
41C2×#532C2211yescharacteristic
42C2×#529C2214yes—
43C2×C4×#41C2211yescharacteristic
44#2868C2211yescharacteristic
45#2858C2212yes—
46#2856C2211yescharacteristic
47#2856C2211yescharacteristic
48#2854C2212yes—
49#2853C2214yes—
50#2850C2214yes—
51#2850C2214yes—
52#2826C2214yes—
53#2825C2214yes—
54#2808C2214yes—
55#2803C2214yes—
56#2797C2214yes—
57#2793C2214yes—
58#2789C2214yes—
59#2784C2214yes—
60#2778C2214yes—
61#2770C2214yes—
62#2761C2214yes—
63#2760C2214yes—
64#2759C2214yes—
65#2752C2214yes—
66#2749C2214yes—
67#2749C2214yes—
68#2745C2214yes—
69#2744C2214yes—
70#2743C2214yes—
71#2731C2214yes—
72#2730C2214yes—
73#2720C2214yes—
74#2716C2214yes—
75#2715C2214yes—
76#2714C2214yes—
77#2711C2214yes—
78#2700C2214yes—
79#2691C2214yes—
80#2688C2214yes—
81#2686C2214yes—
82#2677C2214yes—
83#2676C2214yes—
84#2676C2214yes—
85#2676C2214yes—
86#2675C2214yes—
87#2653C2214yes—
88#2648C2214yes—
89#2640C2212yes—
90#2639C2214yes—
91#2639C2214yes—
92#2635C2214yes—
93#2631C2214yes—
94#2628C2212yes—
95#2620C2212yes—
96#2615C2212yes—
97#2610C2214yes—
98#2610C2214yes—
99#2609C2214yes—
100#2600C2214yes—
101#2599C2214yes—
102#2582C2211yescharacteristic
103#2576C2214yes—
104#2573C2214yes—
105#2566C2212yes—
106#2563C2212yes—
107#2562C2212yes—
108#2557C2214yes—
109#2555C2214yes—
110#2552C2211yescharacteristic
111#2551C2211yescharacteristic
112#2551C2212yes—
113#2548C2211yescharacteristic
114#2545C2214yes—
115#2544C2212yes—
116#2543C2214yes—
117#2542C2212yes—
118#2541C2212yes—
119#2541C2211yescharacteristic
120#2538C2211yescharacteristic
121#2537C2212yes—
122#2537C2212yes—
123#2530C2212yes—
124#2528C2212yes—
125#2527C2214yes—
126#2526C2214yes—
127#2517C2212yes—
128#2514C2212yes—
129#2514C2212yes—
130#2513C2212yes—
131#2512C2212yes—
132#2512C2212yes—
133#2512C2212yes—
134#2511C2212yes—
135#2511C2211yescharacteristic
136#2510C2214yes—
137#2508C2212yes—
138#2506C2211yescharacteristic
139#2506C2212yes—
140#2504C2212yes—
141#2500C2212yes—
142#2500C2212yes—
143#2499C2211yescharacteristic
144#2499C2212yes—
145#2497C2212yes—
146#2496C2212yes—
147#2494C2211yescharacteristic
148#2494C2212yes—
149#2494C2212yes—
150#2492C2212yes—
151#2492C2214yes—
152#2492C2212yes—
153#2492C2212yes—
154#2491C2212yes—
155#2491C2212yes—
156#2491C2212yes—
157#2491C2212yes—
158#2491C2214yes—
159#2491C2212yes—
160#2491C2212yes—
161#2490C2214yes—
162#2490C2212yes—
163#2490C2212yes—
164#2489C2211yescharacteristic
165#2489C2212yes—
166#2489C2214yes—
167#2485C2211yescharacteristic
168#2477C2214yes—
169#2476C2212yes—
170#2476C2214yes—
171#2476C2214yes—
172#2475C2214yes—
173#2475C2214yes—
174#2474C2214yes—
175#2474C2212yes—
176#2471C2214yes—
177#2471C2214yes—
178#2469C2214yes—
179#2468C2214yes—
180#2467C2214yes—
181#2467C2214yes—
182#2464C2214yes—
183#2460C2212yes—
184#2459C2212yes—
185#2456C2212yes—
186#2452C2212yes—
187#2452C2212yes—
188#2451C2211yescharacteristic
189#2450C2214yes—
190#2447C2212yes—
191#2447C2212yes—
192#2445C2211yescharacteristic
193#2445C2212yes—
194#2444C2214yes—
195#2441C2211yescharacteristic
196#2441C2212yes—
197#2440C2212yes—
198#2439C2212yes—
199#2439C2211yescharacteristic
200#2438C2214yes—
201#2431C2212yes—
202#2431C2211yescharacteristic
203#2428C2212yes—
204#2428C2212yes—
205#2428C2212yes—
206#2427C2214yes—
207#2426C2214yes—
208#2426C2211yescharacteristic
209#2420C2212yes—
210#2420C2212yes—
211#2420C2211yescharacteristic
212#2420C2212yes—
213#2417C2212yes—
214#2416C2212yes—
215#2415C2211yescharacteristic
216#2414C2212yes—
217#2414C2212yes—
218#2414C2211yescharacteristic
219#2407C2212yes—
220#2407C2212yes—
221#2407C2211yescharacteristic
222#2401C2212yes—
223#2395C2212yes—
224#2392C2212yes—
225#2388C2212yes—
226#2379C2214yes—
227#2377C2214yes—
228#2369C2212yes—
229#2367C2212yes—
230#2366C2212yes—
231#2366C2212yes—
232#2366C2212yes—
233#2366C2211yescharacteristic
234#2365C2212yes—
235#2365C2212yes—
236#2363C2212yes—
237#2363C2212yes—
238#2361C2212yes—
239#2361C2212yes—
240#2355C2211yescharacteristic
241#2355C2211yescharacteristic
242#2355C2211yescharacteristic
243#2354C2212yes—
244#2354C2212yes—
245#2354C2212yes—
246#2354C2211yescharacteristic
247#2354C2211yescharacteristic
248#2354C2212yes—
249#2352C2212yes—
250#2352C2212yes—
251#2349C2212yes—
252D4×C4⋊C4C2212yes—
253D4×C4⋊C4C2211yescharacteristic
254D4×C4⋊C4C2211yescharacteristic
255D4×C4⋊C4C2211yescharacteristic
256#2347C2212yes—
257#2344C2212yes—
258#2343C2214yes—
259#2343C2214yes—
260#2339C2212yes—
261#2339C2212yes—
262#2331C2212yes—
263#2328C2212yes—
264#2325C2214yes—
265#2324C2214yes—
266#2324C2212yes—
267#2324C2212yes—
268#2324C2212yes—
269#2324C2212yes—
270#2319C2212yes—
271#2311C2212yes—
272#2311C2212yes—
273#2311C2212yes—
274C4×#127C2211yescharacteristic
275C4×#125C2212yes—
276C4×#125C2211yescharacteristic
277C4×#124C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×#123C2212yes—
282C4×#121C2211yescharacteristic
283#2298C2212yes—
284#2297C2212yes—
285#2297C2212yes—
286#2295C2212yes—
287#2295C2211yescharacteristic
288#2293C2212yes—
289#2293C2211yescharacteristic
290#2290C2214yes—
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2283C2212yes—
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2311yescharacteristic
302#555—48no—
303#555—48no—
304#550—28no—
305#544—48no—
306#537—48no—
307#532—28no—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2314yes—
315C2×#127C2311yescharacteristic
316C2×#127C2312yes—
317C2×#127C2311yescharacteristic
318C2×#127C2312yes—
319#529—416no—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2312yes—
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#124C2312yes—
327C2×#124C2314yes—
328C2×#124C2314yes—
329C2×#124C2314yes—
330C2×#124C2312yes—
331C2×#124C2314yes—
332C2×#124C2311yescharacteristic
333C2×#124C2314yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2311yescharacteristic
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C4×#41—28no—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×#117C2312yes—
392C2×#117C2314yes—
393C2×#117C2311yescharacteristic
394C2×#117C2311yescharacteristic
395C2×#117C2312yes—
396C2×#117C2312yes—
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2314yes—
401C2×#117C2311yescharacteristic
402C2×#117C2312yes—
403C2×#117C2314yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C42C2312yes—
408C22×C42C2311yescharacteristic
409C22×C42C2311yescharacteristic
410C22×C42C2314yes—
411#401C2314yes—
412#401C2314yes—
413#401C2312yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2312yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#400C2314yes—
423#400C2312yes—
424#400C2312yes—
425#399C2314yes—
426#399C2314yes—
427#399C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2312yes—
431#398C2312yes—
432#398C2314yes—
433#398C2314yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2312yes—
460#396C2312yes—
461#396C2312yes—
462#396C2314yes—
463#396C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2312yes—
467#395C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2312yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2312yes—
481#394C2314yes—
482#394C2312yes—
483#394C2312yes—
484#394C2312yes—
485#394C2312yes—
486#394C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2314yes—
491#394C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2314yes—
495#393C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2312yes—
501#392C2312yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2312yes—
510#392C2314yes—
511#392C2312yes—
512#392C2312yes—
513#391C2311yescharacteristic
514#391C2312yes—
515#391C2314yes—
516#391C2314yes—
517#391C2312yes—
518#391C2312yes—
519#391C2314yes—
520#391C2314yes—
521#391C2314yes—
522#391C2311yescharacteristic
523#391C2312yes—
524#391C2312yes—
525#391C2314yes—
526#391C2311yescharacteristic
527#391C2311yescharacteristic
528#391C2311yescharacteristic
529#391C2312yes—
530#391C2312yes—
531#391C2311yescharacteristic
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2314yes—
541#390C2312yes—
542#390C2312yes—
543#390C2314yes—
544#390C2312yes—
545#390C2314yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2311yescharacteristic
550#390C2314yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2311yescharacteristic
556#390C2314yes—
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2311yescharacteristic
562#390C2311yescharacteristic
563#390C2312yes—
564#390C2312yes—
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2314yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2314yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2312yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2312yes—
690#386C2314yes—
691#386C2314yes—
692#386C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2312yes—
705#385C2312yes—
706#385C2314yes—
707#385C2312yes—
708#385C2314yes—
709#385C2312yes—
710#384C2311yescharacteristic
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2312yes—
716#384C2312yes—
717#384C2312yes—
718#384C2312yes—
719#383C2314yes—
720#383C2314yes—
721#382C2312yes—
722#382C2311yescharacteristic
723#382C2312yes—
724#382C2312yes—
725#382C2312yes—
726#382C2314yes—
727#382C2312yes—
728#382C2311yescharacteristic
729#382C2312yes—
730#382C2312yes—
731#381C2314yes—
732#381C2312yes—
733#381C2314yes—
734#381C2314yes—
735#381C2314yes—
736#381C2314yes—
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2314yes—
742#380C2314yes—
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2314yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2314yes—
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2314yes—
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811#376C2312yes—
812#376C2312yes—
813#376C2314yes—
814C2×#95C2314yes—
815C2×#95C2314yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C2×#41—24no—
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—42no—
824C2×#41—42no—
825C2×#41—44no—
826C2×#41—44no—
827C22×Q8C2411yescharacteristic
828C22×Q8C2411yescharacteristic
829C22×Q8C2414yes—
830C22×Q8C2412yes—
831C22×Q8C2414yes—
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2412yes—
862C23×C4C2414yes—
863C23×C4C2414yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C4⋊Q8—24no—
867C4⋊Q8—28no—
868C4⋊Q8—44no—
869C4⋊Q8—44no—
870C4⋊Q8—44no—
871C4⋊Q8—44no—
872C4⋊Q8—48no—
873#127—24no—
874#127—28no—
875#127—24no—
876#127—44no—
877#126—48no—
878#126—48no—
879#125—28no—
880#125—24no—
881#125—44no—
882#125—48no—
883#124—28no—
884#124—48no—
885#124—48no—
886#124—48no—
887#124—44no—
888#124—42no—
889#124—48no—
890#124—48no—
891#123—28no—
892#123—48no—
893C22⋊Q8—24no—
894C22⋊Q8—48no—
895C22⋊Q8—48no—
896C22⋊Q8—48no—
897C22⋊Q8—42no—
898C22⋊Q8—42no—
899C22⋊Q8—44no—
900C22⋊Q8—48no—
901#121—24no—
902#121—28no—
903#121—24no—
904#121—28no—
905#121—28no—
906#121—216no—
907#121—48no—
908#121—44no—
909#121—44no—
910#121—48no—
911#121—48no—
912#121—48no—
913#121—44no—
914#121—42no—
915#121—44no—
916#121—44no—
917#121—44no—
918#121—48no—
919#121—48no—
920#121—44no—
921C4×Q8—24no—
922C4×Q8—24no—
923C4×Q8—24no—
924C4×Q8—48no—
925C4×D4—24no—
926C4×D4—28no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—24no—
930C4×D4—28no—
931C4×D4—24no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—48no—
939C4×D4—44no—
940C4×D4—42no—
941C4×D4—42no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—48no—
945C4×D4—48no—
946C4×D4#4118yes—
947#117—24no—
948#117—216no—
949#117—24no—
950#117—28no—
951#117—44no—
952#117—44no—
953#117—44no—
954#117—44no—
955#117—48no—
956#117—48no—
957#117—42no—
958#117—44no—
959#117—44no—
960C2×C4⋊C4—28no—
961C2×C4⋊C4—44no—
962C2×C4⋊C4—44no—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C42—28no—
1088C2×C42—24no—
1089C2×C42—24no—
1090C2×C42—48no—
1091C2×C42C2412yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2414yes—
1115C2×C42C2414yes—
1116C2×C42C2414yes—
1117C2×C42C2412yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2411yescharacteristic
1145#95C2412yes—
1146#95C2411yescharacteristic
1147#95C2414yes—
1148#95C2414yes—
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2411yescharacteristic
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191C24C2511yescharacteristic
1192C24C2512yes—
1193C24C2514yes—
1194C24C2511yescharacteristic
1195C24C2512yes—
1196#41—416no—
1197#41—816no—
1198#41—816no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—24no—
1202C2×Q8—22no—
1203C2×Q8—28no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—44no—
1208C2×Q8—42no—
1209C2×Q8—44no—
1210C2×Q8—42no—
1211C2×Q8—44no—
1212C2×Q8—44no—
1213C2×Q8—44no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—28no—
1217C2×D4—24no—
1218C2×D4—28no—
1219C2×D4—24no—
1220C2×D4—22no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—22no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—28no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—42no—
1252C2×D4—44no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4C2×#4114yes—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—24no—
1284C22×C4—22no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—28no—
1293C22×C4—28no—
1294C22×C4—28no—
1295C22×C4—41no—
1296C22×C4—42no—
1297C22×C4—41no—
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×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4C2×#4118yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2511yescharacteristic
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2514yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2512yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2512yes—
1335C22×C4C2514yes—
1336C22×C4C2514yes—
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2512yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2512yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C4⋊C4—22no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—28no—
1354C4⋊C4—24no—
1355C4⋊C4—22no—
1356C4⋊C4—28no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—22no—
1360C4⋊C4—28no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—22no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—41no—
1393C4⋊C4—41no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4C2×#4114yes—
1404C4⋊C4H(5,𝔽2)14yes—
1405C4⋊C4H(5,𝔽2)14yes—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—28no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—28no—
1414C22⋊C4—28no—
1415C22⋊C4—24no—
1416C22⋊C4—28no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—41no—
1440C22⋊C4—44no—
1441C22⋊C4—41no—
1442C22⋊C4—44no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4C2×#4118yes—
1470C42—22no—
1471C42—22no—
1472C42—24no—
1473C42—22no—
1474C42—22no—
1475C42—24no—
1476C42—24no—
1477C42—22no—
1478C42—22no—
1479C42—24no—
1480C42—24no—
1481C42—28no—
1482C42—24no—
1483C42—28no—
1484C42—22no—
1485C42—24no—
1486C42—22no—
1487C42—24no—
1488C42—24no—
1489C42—22no—
1490C42—22no—
1491C42—24no—
1492C42—22no—
1493C42—44no—
1494C42—44no—
1495C42—42no—
1496C42—41no—
1497C42—42no—
1498C42—44no—
1499C42—44no—
1500C42—44no—
1501C42C2×#4114yes—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—21no—
1509C23—22no—
1510C23—24no—
1511C23—21no—
1512C23—22no—
1513C23—24no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—24no—
1519C23—22no—
1520C23—21no—
1521C23—21no—
1522C23—24no—
1523C23—22no—
1524C23—21no—
1525C23—24no—
1526C23—22no—
1527C23—24no—
1528C23—21no—
1529C23—21no—
1530C23—22no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—24no—
1535C23—22no—
1536C23C22×#4114yes—
1537C23C2611yescharacteristic
1538Q8—44no—
1539Q8—44no—
1540Q8—88no—
1541Q8—84no—
1542Q8—164no—
1543D4—28no—
1544D4—48no—
1545D4—44no—
1546D4—48no—
1547D4—44no—
1548D4—48no—
1549D4—48no—
1550D4—84no—
1551D4—88no—
1552D4—84no—
1553D4—88no—
1554D4—84no—
1555D4—84no—
1556D4—88no—
1557D4—84no—
1558D4—164no—
1559D4—164no—
1560D4—164no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—216no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—21no—
1589C2×C4—24no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—24no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—24no—
1628C2×C4—24no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—44no—
1641C2×C4—44no—
1642C2×C4—48no—
1643C2×C4—48no—
1644C2×C4—44no—
1645C2×C4—44no—
1646C2×C4—44no—
1647C2×C4—48no—
1648C2×C4—44no—
1649C2×C4—88no—
1650C2×C4—88no—
1651C2×C4—88no—
1652C2×C4—88no—
1653C2×C4—88no—
1654C2×C4—88no—
1655C2×C4C22×#4112yes—
1656C2×C4C22×#4114yes—
1657C2×C4C22×#4112yes—
1658C2×C4C22×#4112yes—
1659C2×C4C2×H(5,𝔽2)12yes—
1660C2×C4C2×H(5,𝔽2)12yes—
1661C2×C4C2×H(5,𝔽2)12yes—
1662C2×C4C2×H(5,𝔽2)14yes—
1663C2×C4C2×H(5,𝔽2)12yes—
1664C2×C4#58512yes—
1665C2×C4#58512yes—
1666C2×C4#58512yes—
1667C22—24no—
1668C22—24no—
1669C22—24no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—41no—
1675C22—41no—
1676C22—42no—
1677C22—44no—
1678C22—42no—
1679C22—44no—
1680C22—41no—
1681C22—41no—
1682C22—42no—
1683C22—44no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—42no—
1689C22—44no—
1690C22—41no—
1691C22—42no—
1692C22—41no—
1693C22—44no—
1694C22—44no—
1695C22—41no—
1696C22—42no—
1697C22—41no—
1698C22—42no—
1699C22—44no—
1700C22—41no—
1701C22—41no—
1702C22C23×#4111yescharacteristic
1703C22C22×H(5,𝔽2)11yescharacteristic
1704C22C22×H(5,𝔽2)11yescharacteristic
1705C22C2×#58511yescharacteristic
1706C22C2×#58511yescharacteristic
1707C22C2×#58511yescharacteristic
1708C222−1+611yescharacteristic
1709C4—22no—
1710C4—22no—
1711C4—22no—
1712C4—24no—
1713C4—22no—
1714C4—24no—
1715C4—42no—
1716C4—42no—
1717C4—44no—
1718C4—44no—
1719C4—42no—
1720C4—41no—
1721C4—42no—
1722C4—42no—
1723C4—44no—
1724C4—41no—
1725C4—41no—
1726C4—42no—
1727C4—41no—
1728C4—41no—
1729C4—42no—
1730C4—42no—
1731C4—41no—
1732C4—42no—
1733C4—42no—
1734C4—42no—
1735C4—41no—
1736C4—42no—
1737C4#349314yes—
1738C4#351414yes—
1739C2—44no—
1740C2—81no—
1741C2—81no—
1742C2—82no—
1743C2—84no—
1744C2#6275911yescharacteristic
1745C2C2×#349311yescharacteristic
1746C2C2×#351411yescharacteristic
1747C2#6292211yescharacteristic
1748C2#6296811yescharacteristic
1749C2#6298511yescharacteristic
1750C2#6301411yescharacteristic
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. #59647C2semidirect
2. #59565C2semidirect
3. #59280C2semidirect
4. #59248C2semidirect
5. #59235C2semidirect
6. #50477C2semidirect
7. #49199C2semidirect
8. #45542C2semidirect
9. #45045C2semidirect
10. #45040C2semidirect
11. #44893C2semidirect
12. #44885C2semidirect
13. #42595C2semidirect
14. #42547C2semidirect
15. #42505C2semidirect
16. #42462C2semidirect
17. #39761C2semidirect
18. #39736C2semidirect
19. #39369C2semidirect
20. #39341C2semidirect
21. #38385C2semidirect
22. #38285C2semidirect
23. #37975C2semidirect
24. #36410C2semidirect
25. #36273C2semidirect
26. #36187C2semidirect
27. #36118C2semidirect
28. #36115C2semidirect
29. #35193C2semidirect
30. #35158C2semidirect
31. #34793C2semidirect
32. #34715C2semidirect
33. #34494C2semidirect
34. #34368C2semidirect
35. #34127C2semidirect

Maximal subgroups

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

subgroupindex
#596472
#595652
#592802
#592482
#592352
#504772
#491992
#455422
#450452
#450402
#448932
#448852
#425952
#425472
#425052
#424622
#397612
#397362
#393692
#393412
#383852
#382852
#379752
#364102
#362732
#361872
#361182
#361152
#351932
#351582
#347932
#347152
#344942
#343682
#341272