Finite Group Databasebeta

← #7657352

Subgroups — #7657352

Order 512.

5434 conjugacy classes of subgroups.

The subgroup lattice has 1802 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42529C212yesmaximal, complemented
2#42523C212yesmaximal, complemented
3#42518C212yesmaximal, complemented
4#42518C212yesmaximal, complemented
5#41138C214yesmaximal, complemented
6#41120C214yesmaximal, complemented
7#41051C214yesmaximal, complemented
8#41030C214yesmaximal, complemented
9#39515C211yesmaximal, characteristic, complemented
10#39386C211yesmaximal, characteristic, complemented
11#39262C212yesmaximal, complemented
12#39256C212yesmaximal, complemented
13#39202C211yesmaximal, characteristic, complemented
14#39201C211yesmaximal, characteristic, complemented
15#37954C212yesmaximal, complemented
16#37764C212yesmaximal, complemented
17#37639C211yesmaximal, characteristic, complemented
18#37618C211yesmaximal, characteristic, complemented
19#37515C212yesmaximal, complemented
20#37513C212yesmaximal, complemented
21#36469C211yesmaximal, characteristic, complemented
22#36463C211yesmaximal, characteristic, complemented
23#36175C211yesmaximal, characteristic, complemented
24#36128C211yesmaximal, characteristic, complemented
25#35970C212yesmaximal, complemented
26#35930C212yesmaximal, complemented
27#35844C212yesmaximal, complemented
28#35704C212yesmaximal, complemented
29#35293C211yesmaximal, characteristic, complemented
30#35259C212yesmaximal, complemented
31#34625C211yesmaximal, characteristic, complemented
32#34609C212yesmaximal, complemented
33#34236C211yesmaximal, characteristic, complemented
34#34206C211yesmaximal, characteristic, complemented
35#34141C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#550C2212yes—
38C2×#540C2212yes—
39C2×#532C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C2×#532C2212yes—
43C2×#520C2212yes—
44C2×C4×#41C2212yes—
45#2867C2211yescharacteristic
46#2862C2211yescharacteristic
47#2858C2211yescharacteristic
48#2858C2211yescharacteristic
49#2856C2212yes—
50#2854C2212yes—
51#2854C2212yes—
52#2851C2212yes—
53#2832C2214yes—
54#2828C2214yes—
55#2825C2214yes—
56#2825C2214yes—
57#2819C2214yes—
58#2815C2214yes—
59#2798C2214yes—
60#2797C2214yes—
61#2778C2214yes—
62#2778C2214yes—
63#2759C2214yes—
64#2756C2214yes—
65#2756C2214yes—
66#2752C2214yes—
67#2746C2214yes—
68#2741C2214yes—
69#2737C2214yes—
70#2717C2214yes—
71#2712C2214yes—
72#2710C2214yes—
73#2708C2214yes—
74#2708C2214yes—
75#2703C2214yes—
76#2699C2214yes—
77#2688C2214yes—
78#2686C2214yes—
79#2686C2214yes—
80#2673C2214yes—
81#2673C2214yes—
82#2671C2214yes—
83#2667C2212yes—
84#2666C2212yes—
85#2666C2212yes—
86#2665C2212yes—
87#2661C2214yes—
88#2661C2214yes—
89#2660C2211yescharacteristic
90#2660C2211yescharacteristic
91#2657C2212yes—
92#2653C2214yes—
93#2653C2214yes—
94#2647C2211yescharacteristic
95#2647C2211yescharacteristic
96#2640C2212yes—
97#2635C2214yes—
98#2635C2214yes—
99#2635C2214yes—
100#2635C2214yes—
101#2632C2214yes—
102#2631C2214yes—
103#2631C2214yes—
104#2631C2214yes—
105#2631C2214yes—
106#2629C2211yescharacteristic
107#2629C2211yescharacteristic
108#2628C2211yescharacteristic
109#2628C2212yes—
110#2628C2211yescharacteristic
111#2624C2212yes—
112#2624C2212yes—
113#2619C2212yes—
114#2619C2212yes—
115#2619C2212yes—
116#2619C2212yes—
117#2619C2212yes—
118#2615C2212yes—
119#2615C2214yes—
120#2615C2212yes—
121#2615C2212yes—
122#2615C2212yes—
123#2610C2214yes—
124#2602C2214yes—
125#2598C2214yes—
126#2592C2212yes—
127#2592C2212yes—
128#2591C2214yes—
129#2581C2212yes—
130#2580C2212yes—
131#2578C2214yes—
132#2572C2214yes—
133#2563C2212yes—
134#2563C2211yescharacteristic
135#2563C2211yescharacteristic
136#2557C2214yes—
137#2557C2214yes—
138#2555C2214yes—
139#2555C2214yes—
140#2548C2212yes—
141#2548C2212yes—
142#2548C2212yes—
143#2547C2211yescharacteristic
144#2547C2211yescharacteristic
145#2544C2212yes—
146#2544C2212yes—
147#2544C2212yes—
148#2544C2212yes—
149#2544C2212yes—
150#2544C2212yes—
151#2543C2214yes—
152#2541C2212yes—
153#2541C2211yescharacteristic
154#2541C2212yes—
155#2541C2211yescharacteristic
156#2541C2212yes—
157#2541C2212yes—
158#2541C2211yescharacteristic
159#2541C2211yescharacteristic
160#2537C2212yes—
161#2537C2212yes—
162#2535C2212yes—
163#2535C2212yes—
164#2531C2214yes—
165#2527C2214yes—
166#2523C2214yes—
167#2514C2212yes—
168#2514C2212yes—
169#2513C2212yes—
170#2513C2212yes—
171#2510C2214yes—
172#2495C2212yes—
173#2495C2212yes—
174#2494C2212yes—
175#2494C2212yes—
176#2491C2212yes—
177#2491C2212yes—
178#2490C2212yes—
179#2490C2212yes—
180#2476C2214yes—
181#2476C2214yes—
182#2464C2214yes—
183#2464C2214yes—
184#2464C2214yes—
185#2459C2214yes—
186#2458C2214yes—
187#2458C2214yes—
188#2456C2214yes—
189#2456C2214yes—
190#2456C2214yes—
191#2456C2214yes—
192#2456C2214yes—
193#2456C2214yes—
194#2448C2212yes—
195#2448C2212yes—
196#2447C2212yes—
197#2447C2212yes—
198#2445C2212yes—
199#2445C2212yes—
200#2445C2212yes—
201#2445C2212yes—
202#2443C2214yes—
203#2443C2214yes—
204#2431C2212yes—
205#2431C2212yes—
206#2431C2212yes—
207#2431C2212yes—
208#2431C2214yes—
209#2431C2212yes—
210#2431C2212yes—
211#2430C2214yes—
212#2428C2212yes—
213#2428C2214yes—
214#2428C2212yes—
215#2428C2212yes—
216#2428C2212yes—
217#2422C2212yes—
218#2422C2212yes—
219#2420C2212yes—
220#2420C2212yes—
221#2419C2214yes—
222#2406C2214yes—
223#2402C2212yes—
224#2399C2212yes—
225#2398C2214yes—
226#2397C2214yes—
227#2396C2212yes—
228#2396C2212yes—
229#2388C2214yes—
230#2388C2214yes—
231#2369C2211yescharacteristic
232#2369C2211yescharacteristic
233#2367C2212yes—
234#2367C2212yes—
235#2367C2212yes—
236#2367C2212yes—
237#2367C2212yes—
238#2367C2212yes—
239#2366C2212yes—
240#2366C2212yes—
241#2366C2211yescharacteristic
242#2366C2211yescharacteristic
243#2366C2211yescharacteristic
244#2366C2211yescharacteristic
245#2366C2211yescharacteristic
246#2366C2211yescharacteristic
247#2365C2211yescharacteristic
248#2365C2211yescharacteristic
249#2365C2211yescharacteristic
250#2365C2211yescharacteristic
251#2364C2212yes—
252#2364C2212yes—
253#2361C2211yescharacteristic
254#2361C2212yes—
255#2361C2211yescharacteristic
256#2361C2211yescharacteristic
257#2361C2212yes—
258#2361C2211yescharacteristic
259#2357C2212yes—
260#2357C2212yes—
261#2356C2212yes—
262#2354C2212yes—
263#2352C2214yes—
264#2349C2212yes—
265D4×C4⋊C4C2212yes—
266#2339C2214yes—
267#2337C2214yes—
268#2328C2212yes—
269#2328C2212yes—
270#2325C2214yes—
271#2324C2212yes—
272#2324C2212yes—
273#2319C2212yes—
274#2314C2212yes—
275#2311C2212yes—
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×#125C2211yescharacteristic
279C4×#125C2211yescharacteristic
280C4×#121C2212yes—
281C4×#121C2212yes—
282C4×#121C2212yes—
283C4×#121C2212yes—
284C4×#121C2212yes—
285C4×#121C2212yes—
286#2297C2212yes—
287#2293C2211yescharacteristic
288#2293C2211yescharacteristic
289#2290C2212yes—
290#2290C2212yes—
291#2285C2211yescharacteristic
292#2283C2212yes—
293#2283C2211yescharacteristic
294#2275C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2314yes—
303#559—48no—
304#550—48no—
305#540—48no—
306#532—28no—
307#532—28no—
308#532—28no—
309#532—48no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×#127C2312yes—
316C2×#127C2311yescharacteristic
317C2×#127C2311yescharacteristic
318C2×#127C2311yescharacteristic
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#125C2311yescharacteristic
329C2×#125C2311yescharacteristic
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2314yes—
337C2×#124C2312yes—
338C2×#124C2314yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2312yes—
354C2×#121C2311yescharacteristic
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374#520—48no—
375C4×#41—48no—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2314yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2314yes—
414C2×#117C2312yes—
415C2×#117C2311yescharacteristic
416C2×#117C2312yes—
417C2×#117C2312yes—
418C2×#117C2314yes—
419C2×#117C2311yescharacteristic
420C22×C4⋊C4C2311yescharacteristic
421C22×C4⋊C4C2311yescharacteristic
422C22×C4⋊C4C2314yes—
423C22×C42C2312yes—
424C22×C42C2312yes—
425C22×C42C2312yes—
426C22×C42C2311yescharacteristic
427#401C2314yes—
428#401C2314yes—
429#400C2312yes—
430#400C2314yes—
431#400C2314yes—
432#400C2312yes—
433#400C2312yes—
434#400C2312yes—
435#400C2312yes—
436#400C2314yes—
437#400C2312yes—
438#399C2314yes—
439#399C2314yes—
440#399C2312yes—
441#399C2312yes—
442#399C2314yes—
443#398C2312yes—
444#398C2312yes—
445#398C2312yes—
446#398C2312yes—
447#398C2312yes—
448#398C2312yes—
449#398C2312yes—
450#398C2312yes—
451#398C2312yes—
452#398C2312yes—
453#398C2312yes—
454#398C2312yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#396C2312yes—
472#396C2312yes—
473#396C2312yes—
474#396C2312yes—
475#395C2312yes—
476#395C2314yes—
477#395C2312yes—
478#395C2312yes—
479#395C2312yes—
480#395C2312yes—
481#395C2312yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2312yes—
518#393C2312yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2312yes—
552#391C2312yes—
553#391C2312yes—
554#391C2312yes—
555#391C2314yes—
556#391C2314yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2314yes—
573#390C2314yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2311yescharacteristic
579#390C2312yes—
580#390C2312yes—
581#390C2314yes—
582#390C2314yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2314yes—
588#390C2312yes—
589#390C2312yes—
590#390C2311yescharacteristic
591#390C2311yescharacteristic
592#390C2311yescharacteristic
593#390C2312yes—
594#390C2314yes—
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2314yes—
640#388C2314yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2312yes—
669#386C2312yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2312yes—
695#386C2312yes—
696#386C2312yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2312yes—
715#385C2314yes—
716#385C2312yes—
717#385C2312yes—
718#385C2312yes—
719#384C2311yescharacteristic
720#384C2311yescharacteristic
721#384C2311yescharacteristic
722#384C2311yescharacteristic
723#383C2314yes—
724#383C2314yes—
725#383C2312yes—
726#383C2314yes—
727#382C2311yescharacteristic
728#382C2311yescharacteristic
729#382C2312yes—
730#382C2312yes—
731#382C2312yes—
732#382C2312yes—
733#382C2312yes—
734#382C2311yescharacteristic
735#382C2311yescharacteristic
736#381C2314yes—
737#381C2314yes—
738#381C2314yes—
739#381C2312yes—
740#381C2314yes—
741#380C2312yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2314yes—
747#380C2314yes—
748#380C2314yes—
749#380C2312yes—
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2312yes—
758#380C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811#376C2312yes—
812#376C2311yescharacteristic
813#376C2311yescharacteristic
814#376C2314yes—
815C2×#95C2312yes—
816C2×#95C2314yes—
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—48no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—48no—
828C2×#41—84no—
829C2×#41—82no—
830C2×#41—82no—
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×Q8C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2414yes—
868C23×C4C2412yes—
869C23×C4C2414yes—
870C23×C4C2412yes—
871C23×C4C2414yes—
872C23×C4C2412yes—
873C23×C4C2414yes—
874C23×C4C2412yes—
875C23×C4C2414yes—
876C23×C4C2414yes—
877C23×C4C2412yes—
878C23×C4C2411yescharacteristic
879C4⋊Q8—24no—
880C4⋊Q8—24no—
881C4⋊Q8—24no—
882C4⋊Q8—24no—
883C4⋊Q8—42no—
884#127—24no—
885#127—24no—
886#127—24no—
887#127—28no—
888#127—44no—
889#127—44no—
890#127—44no—
891#127—44no—
892#127—44no—
893#127—44no—
894#127—44no—
895#127—82no—
896#127—82no—
897#125—24no—
898#125—42no—
899#124—28no—
900#124—28no—
901#124—28no—
902#124—48no—
903#124—44no—
904#124—44no—
905#124—48no—
906#124—44no—
907#124—44no—
908#124—84no—
909#124—82no—
910#124—82no—
911#123—48no—
912#123—48no—
913#123—48no—
914#123—48no—
915#123—84no—
916#123—84no—
917#121—28no—
918#121—28no—
919#121—24no—
920#121—24no—
921#121—28no—
922#121—28no—
923#121—28no—
924#121—48no—
925#121—48no—
926#121—48no—
927#121—48no—
928#121—48no—
929#121—44no—
930#121—44no—
931#121—44no—
932#121—44no—
933#121—44no—
934#121—44no—
935#121—48no—
936#121—44no—
937#121—44no—
938#121—84no—
939#121—84no—
940#121—84no—
941#121—84no—
942#121—84no—
943C4×Q8—28no—
944C4×Q8—44no—
945C4×Q8—44no—
946C4×Q8—44no—
947C4×Q8—44no—
948C4×Q8—44no—
949C4×D4—28no—
950C4×D4—24no—
951C4×D4—28no—
952C4×D4—24no—
953C4×D4—28no—
954C4×D4—28no—
955C4×D4—28no—
956C4×D4—28no—
957C4×D4—28no—
958C4×D4—24no—
959C4×D4—24no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—42no—
963C4×D4—44no—
964C4×D4—42no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—48no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—48no—
972C4×D4—48no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—48no—
978C4×D4—84no—
979C4×D4—84no—
980C4×D4—84no—
981#117—24no—
982#117—28no—
983#117—42no—
984#117—44no—
985#117—44no—
986#117—48no—
987C2×C4⋊C4—24no—
988C2×C4⋊C4—42no—
989C2×C4⋊C4—48no—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C42—28no—
1110C2×C42—44no—
1111C2×C42—44no—
1112C2×C42#4118yescomplemented
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2414yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2412yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2414yes—
1130C2×C42C2414yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2414yes—
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2411yescharacteristic
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209C24C2512yes—
1210C24C2514yes—
1211C24C2514yes—
1212C24C2512yes—
1213C24C2511yescharacteristic
1214#41—432no—
1215#41—432no—
1216#41—816no—
1217#41—832no—
1218C2×Q8—24no—
1219C2×Q8—24no—
1220C2×Q8—24no—
1221C2×Q8—24no—
1222C2×Q8—24no—
1223C2×Q8—24no—
1224C2×Q8—42no—
1225C2×Q8—42no—
1226C2×Q8—42no—
1227C2×Q8—42no—
1228C2×Q8—42no—
1229C2×Q8—42no—
1230C2×Q8—42no—
1231C2×Q8—42no—
1232C2×Q8—42no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—28no—
1236C2×D4—28no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—22no—
1249C2×D4—24no—
1250C2×D4—22no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—28no—
1254C2×D4—28no—
1255C2×D4—22no—
1256C2×D4—24no—
1257C2×D4—22no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—28no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—28no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—28no—
1328C22×C4—24no—
1329C22×C4—28no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—42no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—42no—
1339C22×C4—42no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—42no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—42no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4C2×#4114yes—
1360C22×C4C2×#4114yes—
1361C22×C4C2×#4114yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2512yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2512yes—
1366C22×C4C2514yes—
1367C22×C4C2512yes—
1368C22×C4C2514yes—
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2512yes—
1380C22×C4C2512yes—
1381C22×C4C2512yes—
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C22×C4C2512yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—22no—
1401C4⋊C4—28no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—24no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—44no—
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4H(5,𝔽2)14yes—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—28no—
1450C22⋊C4—28no—
1451C22⋊C4—28no—
1452C22⋊C4—28no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—22no—
1456C22⋊C4—22no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—28no—
1460C22⋊C4—24no—
1461C22⋊C4—28no—
1462C22⋊C4—24no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—42no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—44no—
1511C42—24no—
1512C42—24no—
1513C42—24no—
1514C42—22no—
1515C42—24no—
1516C42—24no—
1517C42—28no—
1518C42—24no—
1519C42—22no—
1520C42—24no—
1521C42—22no—
1522C42—22no—
1523C42—22no—
1524C42—22no—
1525C42—24no—
1526C42—22no—
1527C42—42no—
1528C42—42no—
1529C42—42no—
1530C42—42no—
1531C42—44no—
1532C42—44no—
1533C42—44no—
1534C42—41no—
1535C42—41no—
1536C42—41no—
1537C42—41no—
1538C42C2×#4114yes—
1539C42C2×#4114yes—
1540C42C2×#4114yes—
1541C42C2×#4114yes—
1542C42H(5,𝔽2)14yes—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—22no—
1550C23—22no—
1551C23—24no—
1552C23—24no—
1553C23—22no—
1554C23—22no—
1555C23—24no—
1556C23—24no—
1557C23—22no—
1558C23—24no—
1559C23—24no—
1560C23—22no—
1561C23—22no—
1562C23—24no—
1563C23—24no—
1564C23—24no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—24no—
1569C23—24no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—24no—
1575C23—24no—
1576C23—24no—
1577C23C22×#4112yes—
1578C23C2611yescharacteristic
1579Q8—48no—
1580Q8—48no—
1581Q8—48no—
1582Q8—84no—
1583Q8—84no—
1584D4—48no—
1585D4—48no—
1586D4—48no—
1587D4—416no—
1588D4—416no—
1589D4—44no—
1590D4—48no—
1591D4—44no—
1592D4—48no—
1593D4—48no—
1594D4—48no—
1595D4—84no—
1596D4—84no—
1597D4—88no—
1598D4—84no—
1599D4—88no—
1600D4—88no—
1601D4—88no—
1602D4—88no—
1603D4—88no—
1604D4—164no—
1605D4—164no—
1606D4—164no—
1607D4—164no—
1608D4—164no—
1609D4—164no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—28no—
1625C2×C4—28no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—24no—
1629C2×C4—24no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—24no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—24no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—24no—
1678C2×C4—24no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—44no—
1690C2×C4—48no—
1691C2×C4—416no—
1692C2×C4—48no—
1693C2×C4—48no—
1694C2×C4—84no—
1695C2×C4—84no—
1696C2×C4—84no—
1697C2×C4—88no—
1698C2×C4—88no—
1699C2×C4—88no—
1700C2×C4—84no—
1701C2×C4—84no—
1702C2×C4—164no—
1703C2×C4—164no—
1704C2×C4C22×#4112yes—
1705C2×C4C22×#4112yes—
1706C2×C4C22×#4112yes—
1707C2×C4C22×#4112yes—
1708C2×C4C22×#4112yes—
1709C2×C4C22×#4112yes—
1710C2×C4C2×H(5,𝔽2)12yes—
1711C2×C4C2×H(5,𝔽2)12yes—
1712C2×C4C2×H(5,𝔽2)14yes—
1713C2×C4C2×H(5,𝔽2)12yes—
1714C2×C4C2×H(5,𝔽2)12yes—
1715C2×C4#58512yes—
1716C2×C4#58512yes—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—42no—
1725C22—42no—
1726C22—44no—
1727C22—44no—
1728C22—44no—
1729C22—44no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—44no—
1734C22—44no—
1735C22—42no—
1736C22—42no—
1737C22—44no—
1738C22—42no—
1739C22—44no—
1740C22—44no—
1741C22—42no—
1742C22—44no—
1743C22—42no—
1744C22—42no—
1745C22—42no—
1746C22—44no—
1747C22—44no—
1748C22—42no—
1749C22—44no—
1750C22—44no—
1751C22—42no—
1752C22C23×#4111yescharacteristic
1753C22C22×H(5,𝔽2)11yescharacteristic
1754C22C22×H(5,𝔽2)11yescharacteristic
1755C22C2×#58511yescharacteristic
1756C22C2×#58511yescharacteristic
1757C22H(7,𝔽2)11yescharacteristic
1758C22H(7,𝔽2)11yescharacteristic
1759C4—22no—
1760C4—22no—
1761C4—22no—
1762C4—22no—
1763C4—24no—
1764C4—22no—
1765C4—22no—
1766C4—42no—
1767C4—42no—
1768C4—44no—
1769C4—41no—
1770C4—42no—
1771C4—42no—
1772C4—42no—
1773C4—42no—
1774C4—42no—
1775C4—42no—
1776C4—41no—
1777C4—42no—
1778C4—41no—
1779C4—44no—
1780C4—41no—
1781C4—42no—
1782C4—42no—
1783C4—42no—
1784C4—41no—
1785C4—42no—
1786C4—41no—
1787C4#346014yes—
1788C4#350614yes—
1789C2—42no—
1790C2—82no—
1791C2—82no—
1792C2—84no—
1793C2—84no—
1794C2C2×#346011yescharacteristic
1795C2C2×#350611yescharacteristic
1796C2#6285511yescharacteristic
1797C2#6291211yescharacteristic
1798C2#6292311yescharacteristic
1799C2#6295511yescharacteristic
1800C2#6296911yescharacteristic
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. #42529C2semidirect
2. #42523C2semidirect
3. #42518C2semidirect
4. #42518C2semidirect
5. #41138C2semidirect
6. #41120C2semidirect
7. #41051C2semidirect
8. #41030C2semidirect
9. #39515C2semidirect
10. #39386C2semidirect
11. #39262C2semidirect
12. #39256C2semidirect
13. #39202C2semidirect
14. #39201C2semidirect
15. #37954C2semidirect
16. #37764C2semidirect
17. #37639C2semidirect
18. #37618C2semidirect
19. #37515C2semidirect
20. #37513C2semidirect
21. #36469C2semidirect
22. #36463C2semidirect
23. #36175C2semidirect
24. #36128C2semidirect
25. #35970C2semidirect
26. #35930C2semidirect
27. #35844C2semidirect
28. #35704C2semidirect
29. #35293C2semidirect
30. #35259C2semidirect
31. #34625C2semidirect
32. #34609C2semidirect
33. #34236C2semidirect
34. #34206C2semidirect
35. #34141C2semidirect
1112. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
#425292
#425232
#425182
#411382
#411202
#410512
#410302
#395152
#393862
#392622
#392562
#392022
#392012
#379542
#377642
#376392
#376182
#375152
#375132
#364692
#364632
#361752
#361282
#359702
#359302
#358442
#357042
#352932
#352592
#346252
#346092
#342362
#342062
#341412