Finite Group Databasebeta

← #7979688

Subgroups — #7979688

Order 512.

5135 conjugacy classes of subgroups.

The subgroup lattice has 1747 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59821C211yesmaximal, characteristic, complemented
2#59396C212yesmaximal, complemented
3#59146C212yesmaximal, complemented
4#59084C211yesmaximal, characteristic, complemented
5#59078C211yesmaximal, characteristic, complemented
6#51453C214yesmaximal, complemented
7#51104C214yesmaximal, complemented
8#46013C212yesmaximal, complemented
9#45653C212yesmaximal, complemented
10#45216C212yesmaximal, complemented
11#44925C212yesmaximal, complemented
12#43475C214yesmaximal, complemented
13#42794C212yesmaximal, complemented
14#42618C212yesmaximal, complemented
15#41023C214yesmaximal, complemented
16#40102C212yesmaximal, complemented
17#39981C212yesmaximal, complemented
18#39879C212yesmaximal, complemented
19#39782C212yesmaximal, complemented
20#39690C212yesmaximal, complemented
21#39515C211yesmaximal, characteristic, complemented
22#39127C211yesmaximal, characteristic, complemented
23#36564C211yesmaximal, characteristic, complemented
24#36474C211yesmaximal, characteristic, complemented
25#36456C211yesmaximal, characteristic, complemented
26#36150C212yesmaximal, complemented
27#36149C211yesmaximal, characteristic, complemented
28#36133C211yesmaximal, characteristic, complemented
29#35238C211yesmaximal, characteristic, complemented
30#35198C211yesmaximal, characteristic, complemented
31#35046C212yesmaximal, complemented
32#34937C211yesmaximal, characteristic, complemented
33#34724C211yesmaximal, characteristic, complemented
34#34419C212yesmaximal, complemented
35C4×#554C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#556C2212yes—
39C2×#554C2211yescharacteristic
40C2×#542C2212yes—
41C2×#533C2212yes—
42C2×#532C2212yes—
43C2×#532C2211yescharacteristic
44C2×#532C2211yescharacteristic
45C2×#529C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47#2862C2211yescharacteristic
48#2862C2212yes—
49#2860C2212yes—
50#2858C2212yes—
51#2857C2212yes—
52#2857C2211yescharacteristic
53#2857C2212yes—
54#2857C2211yescharacteristic
55#2856C2212yes—
56#2855C2212yes—
57#2850C2212yes—
58#2830C2214yes—
59#2820C2214yes—
60#2808C2214yes—
61#2807C2214yes—
62#2800C2214yes—
63#2798C2214yes—
64#2784C2214yes—
65#2783C2214yes—
66#2780C2214yes—
67#2777C2214yes—
68#2765C2214yes—
69#2761C2214yes—
70#2761C2214yes—
71#2759C2214yes—
72#2732C2214yes—
73#2731C2214yes—
74#2727C2214yes—
75#2725C2214yes—
76#2725C2214yes—
77#2711C2214yes—
78#2707C2214yes—
79#2704C2214yes—
80#2702C2214yes—
81#2701C2214yes—
82#2700C2214yes—
83#2700C2214yes—
84#2692C2214yes—
85#2692C2214yes—
86#2691C2214yes—
87#2686C2214yes—
88#2683C2214yes—
89#2683C2214yes—
90#2681C2214yes—
91#2681C2214yes—
92#2672C2214yes—
93#2665C2214yes—
94#2664C2214yes—
95#2662C2214yes—
96#2662C2214yes—
97#2653C2214yes—
98#2637C2214yes—
99#2636C2214yes—
100#2629C2212yes—
101#2628C2212yes—
102#2609C2214yes—
103#2608C2214yes—
104#2601C2214yes—
105#2594C2214yes—
106#2592C2212yes—
107#2589C2214yes—
108#2586C2214yes—
109#2581C2212yes—
110#2576C2214yes—
111#2573C2214yes—
112#2567C2212yes—
113#2567C2211yescharacteristic
114#2566C2212yes—
115#2563C2211yescharacteristic
116#2563C2212yes—
117#2562C2212yes—
118#2559C2214yes—
119#2551C2211yescharacteristic
120#2550C2212yes—
121#2550C2214yes—
122#2550C2212yes—
123#2550C2214yes—
124#2549C2214yes—
125#2549C2214yes—
126#2548C2211yescharacteristic
127#2548C2211yescharacteristic
128#2548C2211yescharacteristic
129#2547C2211yescharacteristic
130#2546C2212yes—
131#2546C2211yescharacteristic
132#2545C2212yes—
133#2545C2212yes—
134#2545C2212yes—
135#2544C2212yes—
136#2544C2212yes—
137#2543C2214yes—
138#2542C2212yes—
139#2541C2211yescharacteristic
140#2540C2214yes—
141#2538C2212yes—
142#2538C2212yes—
143#2538C2212yes—
144#2538C2211yescharacteristic
145#2535C2212yes—
146#2518C2214yes—
147#2514C2212yes—
148#2512C2212yes—
149#2512C2212yes—
150#2507C2212yes—
151#2507C2212yes—
152#2506C2212yes—
153#2495C2212yes—
154#2494C2212yes—
155#2491C2212yes—
156#2491C2212yes—
157#2491C2212yes—
158#2490C2214yes—
159#2490C2212yes—
160#2478C2212yes—
161#2476C2214yes—
162#2470C2212yes—
163#2468C2214yes—
164#2466C2214yes—
165#2466C2212yes—
166#2462C2214yes—
167#2461C2214yes—
168#2460C2214yes—
169#2459C2214yes—
170#2455C2212yes—
171#2454C2214yes—
172#2454C2212yes—
173#2453C2212yes—
174#2453C2211yescharacteristic
175#2452C2212yes—
176#2452C2212yes—
177#2452C2212yes—
178#2452C2212yes—
179#2452C2214yes—
180#2451C2212yes—
181#2451C2212yes—
182#2450C2214yes—
183#2448C2212yes—
184#2448C2212yes—
185#2448C2212yes—
186#2448C2212yes—
187#2447C2212yes—
188#2447C2212yes—
189#2447C2211yescharacteristic
190#2446C2212yes—
191#2445C2212yes—
192#2441C2211yescharacteristic
193#2440C2212yes—
194#2440C2212yes—
195#2439C2212yes—
196#2439C2214yes—
197#2438C2214yes—
198#2432C2211yescharacteristic
199#2432C2212yes—
200#2432C2214yes—
201#2430C2214yes—
202#2429C2211yescharacteristic
203#2429C2212yes—
204#2427C2212yes—
205#2427C2212yes—
206#2427C2214yes—
207#2426C2212yes—
208#2426C2212yes—
209#2426C2212yes—
210#2426C2212yes—
211#2426C2214yes—
212#2426C2212yes—
213#2422C2211yescharacteristic
214#2420C2212yes—
215#2420C2212yes—
216#2416C2212yes—
217#2416C2212yes—
218#2416C2212yes—
219#2416C2212yes—
220#2415C2211yescharacteristic
221#2415C2214yes—
222#2414C2214yes—
223#2407C2212yes—
224#2407C2212yes—
225#2407C2211yescharacteristic
226#2395C2212yes—
227#2392C2212yes—
228#2392C2214yes—
229#2379C2214yes—
230#2376C2214yes—
231#2370C2212yes—
232#2369C2211yescharacteristic
233#2369C2211yescharacteristic
234#2369C2212yes—
235#2368C2212yes—
236#2368C2212yes—
237#2367C2212yes—
238#2367C2212yes—
239#2367C2214yes—
240#2367C2212yes—
241#2365C2211yescharacteristic
242#2365C2212yes—
243#2363C2214yes—
244#2360C2211yescharacteristic
245#2360C2211yescharacteristic
246#2359C2214yes—
247#2355C2211yescharacteristic
248#2354C2212yes—
249#2351C2212yes—
250#2351C2212yes—
251#2351C2212yes—
252Q8×C4⋊C4C2211yescharacteristic
253Q8×C4⋊C4C2211yescharacteristic
254#2349C2212yes—
255#2349C2212yes—
256D4×C4⋊C4C2211yescharacteristic
257#2345C2211yescharacteristic
258#2345C2211yescharacteristic
259#2345C2212yes—
260#2344C2212yes—
261#2341C2212yes—
262#2341C2212yes—
263#2339C2212yes—
264#2339C2212yes—
265#2337C2214yes—
266#2334C2214yes—
267#2334C2214yes—
268#2329C2214yes—
269#2324C2212yes—
270#2324C2212yes—
271#2324C2212yes—
272#2323C2212yes—
273#2323C2214yes—
274#2314C2212yes—
275C4×C4⋊Q8C2212yes—
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×#127C2211yescharacteristic
279C4×#125C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×#123C2212yes—
289C4×#121C2212yes—
290C4×#121C2212yes—
291#2297C2212yes—
292#2296C2212yes—
293#2293C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302Q82—44no—
303#557—44no—
304#556—48no—
305#554—28no—
306#542—216no—
307#533—48no—
308#532—44no—
309#532—44no—
310#532—48no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2314yes—
322C2×#127C2311yescharacteristic
323C2×#127C2312yes—
324#529—44no—
325C2×#126C2314yes—
326C2×#126C2314yes—
327C2×#126C2312yes—
328C2×#126C2314yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2311yescharacteristic
332C2×#125C2314yes—
333C2×#125C2314yes—
334C2×#124C2314yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2314yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2311yescharacteristic
342C2×#124C2312yes—
343C2×#124C2314yes—
344C2×#123C2314yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2314yes—
362C2×C22⋊Q8C2314yes—
363C2×C22⋊Q8C2314yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2311yescharacteristic
368C2×#121C2314yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C4×#41—44no—
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2314yes—
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2311yescharacteristic
391C2×C4×D4C2312yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2312yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×#117C2312yes—
411C2×#117C2312yes—
412C2×#117C2314yes—
413C2×#117C2314yes—
414C2×#117C2312yes—
415C2×#117C2311yescharacteristic
416C22×C4⋊C4C2311yescharacteristic
417C22×C4⋊C4C2311yescharacteristic
418C22×C4⋊C4C2311yescharacteristic
419C22×C4⋊C4C2311yescharacteristic
420C22×C42C2311yescharacteristic
421C22×C42C2311yescharacteristic
422C22×C42C2312yes—
423C22×C42C2312yes—
424C22×C42C2312yes—
425#401C2314yes—
426#400C2314yes—
427#400C2312yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2312yes—
434#399C2314yes—
435#399C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2314yes—
444#398C2312yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2312yes—
460#397C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2312yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2312yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2312yes—
500#394C2312yes—
501#394C2312yes—
502#394C2312yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#393C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2312yes—
519#391C2311yescharacteristic
520#391C2312yes—
521#391C2311yescharacteristic
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2311yescharacteristic
527#391C2314yes—
528#391C2312yes—
529#391C2314yes—
530#391C2314yes—
531#391C2312yes—
532#391C2314yes—
533#391C2314yes—
534#391C2314yes—
535#391C2312yes—
536#391C2314yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2311yescharacteristic
541#391C2311yescharacteristic
542#391C2312yes—
543#391C2312yes—
544#391C2311yescharacteristic
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2314yes—
550#390C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2314yes—
554#390C2314yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2311yescharacteristic
559#390C2312yes—
560#390C2312yes—
561#390C2314yes—
562#390C2314yes—
563#390C2314yes—
564#390C2314yes—
565#390C2311yescharacteristic
566#390C2314yes—
567#390C2312yes—
568#390C2312yes—
569#390C2314yes—
570#390C2312yes—
571#390C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2314yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2314yes—
596#389C2312yes—
597#389C2312yes—
598#389C2314yes—
599#389C2314yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2314yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2314yes—
610#389C2312yes—
611#389C2311yescharacteristic
612#389C2312yes—
613#389C2314yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2311yescharacteristic
620#389C2311yescharacteristic
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#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2312yes—
667#387C2312yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#387C2312yes—
676#387C2314yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2312yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2312yes—
704#385C2312yes—
705#385C2312yes—
706#385C2312yes—
707#385C2312yes—
708#385C2312yes—
709#385C2312yes—
710#385C2312yes—
711#385C2314yes—
712#385C2312yes—
713#385C2314yes—
714#385C2312yes—
715#385C2314yes—
716#385C2312yes—
717#385C2312yes—
718#385C2312yes—
719#384C2311yescharacteristic
720#384C2312yes—
721#384C2311yescharacteristic
722#384C2311yescharacteristic
723#384C2312yes—
724#384C2312yes—
725#383C2314yes—
726#382C2312yes—
727#382C2312yes—
728#382C2314yes—
729#382C2314yes—
730#382C2312yes—
731#382C2314yes—
732#382C2312yes—
733#381C2314yes—
734#381C2314yes—
735#381C2314yes—
736#381C2312yes—
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2314yes—
747#380C2312yes—
748#380C2312yes—
749#380C2311yescharacteristic
750#380C2314yes—
751#380C2314yes—
752#380C2311yescharacteristic
753#380C2314yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C2×#95C2314yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C43C2312yes—
820C43C2311yescharacteristic
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—28no—
824C2×#41—44no—
825C2×#41—42no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—82no—
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2412yes—
835C22×Q8C2414yes—
836C22×Q8C2412yes—
837C22×Q8C2414yes—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2411yescharacteristic
863C23×C4C2412yes—
864C23×C4C2414yes—
865C4⋊Q8—28no—
866C4⋊Q8—24no—
867C4⋊Q8—28no—
868C4⋊Q8—24no—
869C4⋊Q8—24no—
870C4⋊Q8—24no—
871C4⋊Q8—44no—
872C4⋊Q8—44no—
873C4⋊Q8—44no—
874C4⋊Q8—44no—
875C4⋊Q8—48no—
876#127—24no—
877#127—44no—
878#126—216no—
879#126—44no—
880#126—48no—
881#126—48no—
882#125—28no—
883#125—42no—
884#125—44no—
885#125—48no—
886#125—48no—
887#124—28no—
888#124—28no—
889#124—216no—
890#124—42no—
891#124—44no—
892#124—44no—
893#124—44no—
894#124—44no—
895#124—48no—
896#124—84no—
897#123—216no—
898#123—44no—
899#123—44no—
900C22⋊Q8—28no—
901C22⋊Q8—24no—
902C22⋊Q8—24no—
903C22⋊Q8—24no—
904C22⋊Q8—24no—
905C22⋊Q8—216no—
906C22⋊Q8—28no—
907C22⋊Q8—28no—
908C22⋊Q8—48no—
909C22⋊Q8—48no—
910C22⋊Q8—42no—
911C22⋊Q8—44no—
912C22⋊Q8—84no—
913C22⋊Q8—84no—
914C22⋊Q8—82no—
915C22⋊Q8—84no—
916C22⋊Q8—84no—
917#121—28no—
918#121—28no—
919#121—48no—
920#121—48no—
921#121—42no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—48no—
927#121—84no—
928C4×Q8—28no—
929C4×Q8—24no—
930C4×Q8—24no—
931C4×Q8—24no—
932C4×Q8—24no—
933C4×Q8—44no—
934C4×Q8—48no—
935C4×Q8—42no—
936C4×Q8—44no—
937C4×Q8—44no—
938C4×Q8—44no—
939C4×Q8—44no—
940C4×Q8—44no—
941C4×Q8—44no—
942C4×Q8#4118yescomplemented
943C4×D4—24no—
944C4×D4—28no—
945C4×D4—24no—
946C4×D4—28no—
947C4×D4—24no—
948C4×D4—42no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—48no—
958C4×D4—48no—
959C4×D4—42no—
960C4×D4—44no—
961C4×D4—82no—
962#117—28no—
963#117—44no—
964#117—44no—
965#117—48no—
966#117—48no—
967#117—42no—
968C2×C4⋊C4—24no—
969C2×C4⋊C4—24no—
970C2×C4⋊C4—24no—
971C2×C4⋊C4—24no—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C42—24no—
1101C2×C42—24no—
1102C2×C42—44no—
1103C2×C42—44no—
1104C2×C42—44no—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2414yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2414yes—
1125C2×C42C2414yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2412yes—
1132C2×C42C2414yes—
1133C2×C42C2414yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2414yes—
1137C2×C42C2412yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2412yes—
1140C2×C42C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2411yescharacteristic
1154#95C2412yes—
1155#95C2412yes—
1156#95C2411yescharacteristic
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2411yescharacteristic
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205C24C2514yes—
1206C24C2512yes—
1207C24C2511yescharacteristic
1208C24C2511yescharacteristic
1209#41—416no—
1210#41—816no—
1211#41—816no—
1212C2×Q8—24no—
1213C2×Q8—28no—
1214C2×Q8—22no—
1215C2×Q8—22no—
1216C2×Q8—22no—
1217C2×Q8—22no—
1218C2×Q8—24no—
1219C2×Q8—24no—
1220C2×Q8—24no—
1221C2×Q8—22no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—24no—
1225C2×Q8—42no—
1226C2×Q8—44no—
1227C2×Q8—42no—
1228C2×Q8—44no—
1229C2×Q8—42no—
1230C2×Q8—42no—
1231C2×Q8—44no—
1232C2×Q8—44no—
1233C2×Q8—44no—
1234C2×Q8C2×#4114yes—
1235C2×Q8H(5,𝔽2)14yes—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—28no—
1240C2×D4—24no—
1241C2×D4—28no—
1242C2×D4—22no—
1243C2×D4—24no—
1244C2×D4—28no—
1245C2×D4—22no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—22no—
1252C2×D4—24no—
1253C2×D4—22no—
1254C2×D4—24no—
1255C2×D4—28no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—24no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—28no—
1292C22×C4—22no—
1293C22×C4—24no—
1294C22×C4—28no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—41no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—42no—
1307C22×C4—41no—
1308C22×C4—44no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—41no—
1312C22×C4—42no—
1313C22×C4—44no—
1314C22×C4—42no—
1315C22×C4—44no—
1316C22×C42−1+414yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2512yes—
1319C22×C4C2511yescharacteristic
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2514yes—
1326C22×C4C2514yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2512yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2514yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2512yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2512yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2512yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2512yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—28no—
1360C4⋊C4—28no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—22no—
1365C4⋊C4—28no—
1366C4⋊C4—24no—
1367C4⋊C4—28no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—22no—
1373C4⋊C4—28no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—24no—
1386C4⋊C4—22no—
1387C4⋊C4—24no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—41no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—42no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—44no—
1419C4⋊C4C2×#4114yes—
1420C4⋊C4C2×#4118yes—
1421C4⋊C42−1+414yes—
1422C22⋊C4—22no—
1423C22⋊C4—24no—
1424C22⋊C4—22no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—28no—
1434C22⋊C4—28no—
1435C22⋊C4—28no—
1436C22⋊C4—28no—
1437C22⋊C4—28no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—28no—
1441C22⋊C4—28no—
1442C22⋊C4—22no—
1443C22⋊C4—28no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—41no—
1451C22⋊C4—42no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C42—24no—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—24no—
1484C42—24no—
1485C42—24no—
1486C42—24no—
1487C42—28no—
1488C42—24no—
1489C42—22no—
1490C42—24no—
1491C42—22no—
1492C42—24no—
1493C42—22no—
1494C42—42no—
1495C42—42no—
1496C42—42no—
1497C42—42no—
1498C42—42no—
1499C42—42no—
1500C42—44no—
1501C42—44no—
1502C42—42no—
1503C42—41no—
1504C42—41no—
1505C42—44no—
1506C42—44no—
1507C42—44no—
1508C42—42no—
1509C42C2×#4114yes—
1510C42C2×#4118yes—
1511C42H(5,𝔽2)14yes—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—24no—
1525C23—22no—
1526C23—24no—
1527C23—22no—
1528C23—22no—
1529C23—24no—
1530C23—24no—
1531C23—22no—
1532C23—24no—
1533C23—22no—
1534C23—22no—
1535C23—24no—
1536C23—22no—
1537C23—24no—
1538C23C2×2−1+412yes—
1539C23#58512yes—
1540C23C2611yescharacteristic
1541Q8—28no—
1542Q8—28no—
1543Q8—44no—
1544Q8—48no—
1545Q8—84no—
1546Q8—88no—
1547Q8—84no—
1548Q8—164no—
1549D4—28no—
1550D4—48no—
1551D4—48no—
1552D4—48no—
1553D4—44no—
1554D4—48no—
1555D4—88no—
1556D4—88no—
1557D4—84no—
1558D4—88no—
1559D4—88no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—28no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—24no—
1605C2×C4—24no—
1606C2×C4—24no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—24no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—48no—
1641C2×C4—48no—
1642C2×C4—44no—
1643C2×C4—44no—
1644C2×C4—44no—
1645C2×C4—48no—
1646C2×C4—44no—
1647C2×C4—88no—
1648C2×C4—84no—
1649C2×C4—84no—
1650C2×C4—84no—
1651C2×C4—82no—
1652C2×C4—88no—
1653C2×C4—84no—
1654C2×C4—88no—
1655C2×C4C22×#4112yes—
1656C2×C4C22×#4114yes—
1657C2×C4C22×#4112yes—
1658C2×C4C22×#4114yes—
1659C2×C4C22×#4112yes—
1660C2×C4C2×H(5,𝔽2)12yes—
1661C2×C4C2×H(5,𝔽2)14yes—
1662C2×C4C2×H(5,𝔽2)12yes—
1663C2×C4C2×H(5,𝔽2)12yes—
1664C2×C4C2×H(5,𝔽2)12yes—
1665C2×C4C2×2−1+414yes—
1666C2×C4C2×2−1+412yes—
1667C2×C4C2×2−1+412yes—
1668C2×C4C2×2−1+412yes—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—42no—
1684C22—44no—
1685C22—44no—
1686C22—42no—
1687C22—42no—
1688C22—44no—
1689C22—42no—
1690C22—44no—
1691C22—42no—
1692C22—44no—
1693C22—44no—
1694C22—42no—
1695C22—44no—
1696C22—42no—
1697C22C23×#4111yescharacteristic
1698C22C22×H(5,𝔽2)11yescharacteristic
1699C22C22×H(5,𝔽2)11yescharacteristic
1700C22C22×2−1+411yescharacteristic
1701C22C22×2−1+411yescharacteristic
1702C22C2×#58511yescharacteristic
1703C22H(7,𝔽2)11yescharacteristic
1704C4—22no—
1705C4—24no—
1706C4—22no—
1707C4—24no—
1708C4—24no—
1709C4—22no—
1710C4—24no—
1711C4—22no—
1712C4—41no—
1713C4—44no—
1714C4—42no—
1715C4—44no—
1716C4—42no—
1717C4—42no—
1718C4—42no—
1719C4—41no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—42no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—44no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—41no—
1733C4#351114yes—
1734C4#353614yes—
1735C2—42no—
1736C2—42no—
1737C2—82no—
1738C2—84no—
1739C2C2×#353611yescharacteristic
1740C2#6278811yescharacteristic
1741C2C2×#351111yescharacteristic
1742C2#6292411yescharacteristic
1743C2#6294311yescharacteristic
1744C2#6298611yescharacteristic
1745C2#6301511yescharacteristic
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. #59821C2semidirect
2. #59396C2semidirect
3. #59146C2semidirect
4. #59084C2semidirect
5. #59078C2semidirect
6. #51453C2semidirect
7. #51104C2semidirect
8. #46013C2semidirect
9. #45653C2semidirect
10. #45216C2semidirect
11. #44925C2semidirect
12. #43475C2semidirect
13. #42794C2semidirect
14. #42618C2semidirect
15. #41023C2semidirect
16. #40102C2semidirect
17. #39981C2semidirect
18. #39879C2semidirect
19. #39782C2semidirect
20. #39690C2semidirect
21. #39515C2semidirect
22. #39127C2semidirect
23. #36564C2semidirect
24. #36474C2semidirect
25. #36456C2semidirect
26. #36150C2semidirect
27. #36149C2semidirect
28. #36133C2semidirect
29. #35238C2semidirect
30. #35198C2semidirect
31. #35046C2semidirect
32. #34937C2semidirect
33. #34724C2semidirect
34. #34419C2semidirect
35. C4×#554C2semidirect
942. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#598212
#593962
#591462
#590842
#590782
#514532
#511042
#460132
#456532
#452162
#449252
#434752
#427942
#426182
#410232
#401022
#399812
#398792
#397822
#396902
#395152
#391272
#365642
#364742
#364562
#361502
#361492
#361332
#352382
#351982
#350462
#349372
#347242
#344192
C4×#5542