Finite Group Databasebeta

← #7646939

Subgroups — #7646939

Order 512.

5616 conjugacy classes of subgroups.

The subgroup lattice has 1853 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42907C212yesmaximal, complemented
2#42900C212yesmaximal, complemented
3#42893C212yesmaximal, complemented
4#42892C212yesmaximal, complemented
5#42860C212yesmaximal, complemented
6#42858C212yesmaximal, complemented
7#42838C212yesmaximal, complemented
8#42835C212yesmaximal, complemented
9#40218C212yesmaximal, complemented
10#40214C212yesmaximal, complemented
11#40129C212yesmaximal, complemented
12#40125C212yesmaximal, complemented
13#39786C212yesmaximal, complemented
14#39783C212yesmaximal, complemented
15#39218C212yesmaximal, complemented
16#39215C212yesmaximal, complemented
17#37517C214yesmaximal, complemented
18#37198C214yesmaximal, complemented
19#37123C214yesmaximal, complemented
20#35556C211yesmaximal, characteristic, complemented
21#35544C211yesmaximal, characteristic, complemented
22#35531C211yesmaximal, characteristic, complemented
23#35518C211yesmaximal, characteristic, complemented
24#35266C211yesmaximal, characteristic, complemented
25#35256C211yesmaximal, characteristic, complemented
26#35179C211yesmaximal, characteristic, complemented
27#35153C211yesmaximal, characteristic, complemented
28#35149C211yesmaximal, characteristic, complemented
29#35149C211yesmaximal, characteristic, complemented
30#35074C214yesmaximal, complemented
31#34813C211yesmaximal, characteristic, complemented
32#34742C211yesmaximal, characteristic, complemented
33#34266C211yesmaximal, characteristic, complemented
34C2×#2341C211yesmaximal, characteristic, complemented
35C4×#536C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#536C2211yescharacteristic
40C2×#535C2211yescharacteristic
41C2×#535C2211yescharacteristic
42C2×#533C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C2×#525C2211yescharacteristic
45C2×#520C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C22×C4×Q8C2211yescharacteristic
48C22×C4×Q8C2211yescharacteristic
49#2860C2212yescomplemented
50#2860C2212yescomplemented
51#2856C2212yescomplemented
52#2855C2214yes—
53#2854C2214yes—
54#2850C2212yescomplemented
55#2849C2214yes—
56#2849C2214yes—
57#2830C2214yescomplemented
58#2829C2214yescomplemented
59#2829C2214yescomplemented
60#2828C2214yescomplemented
61#2808C2214yescomplemented
62#2803C2214yescomplemented
63#2803C2214yescomplemented
64#2803C2214yescomplemented
65#2803C2214yescomplemented
66#2800C2214yescomplemented
67#2800C2214yescomplemented
68#2797C2214yescomplemented
69#2797C2214yescomplemented
70#2788C2214yescomplemented
71#2787C2214yescomplemented
72#2786C2214yescomplemented
73#2784C2214yescomplemented
74#2781C2214yescomplemented
75#2780C2214yescomplemented
76#2779C2214yescomplemented
77#2778C2214yescomplemented
78#2770C2214yescomplemented
79#2768C2214yescomplemented
80#2756C2214yescomplemented
81#2750C2214yescomplemented
82#2733C2214yescomplemented
83#2727C2214yescomplemented
84#2715C2214yescomplemented
85#2714C2214yescomplemented
86#2714C2214yescomplemented
87#2710C2214yescomplemented
88#2710C2214yescomplemented
89#2708C2214yescomplemented
90#2695C2214yescomplemented
91#2686C2214yescomplemented
92#2682C2214yescomplemented
93#2662C2214yescomplemented
94#2662C2214yescomplemented
95#2661C2214yescomplemented
96#2661C2214yescomplemented
97#2653C2214yescomplemented
98#2652C2214yescomplemented
99#2651C2214yescomplemented
100#2651C2214yescomplemented
101#2649C2214yescomplemented
102#2648C2214yescomplemented
103#2648C2214yescomplemented
104#2648C2214yescomplemented
105#2644C2212yescomplemented
106#2644C2212yescomplemented
107#2627C2214yes—
108#2620C2212yescomplemented
109#2619C2212yescomplemented
110#2618C2214yes—
111#2613C2214yes—
112#2613C2214yes—
113#2597C2214yescomplemented
114#2595C2214yescomplemented
115#2593C2214yescomplemented
116#2592C2212yescomplemented
117#2592C2212yescomplemented
118#2589C2214yescomplemented
119#2587C2214yescomplemented
120#2582C2212yescomplemented
121#2582C2212yescomplemented
122#2581C2212yescomplemented
123#2581C2212yescomplemented
124#2578C2214yescomplemented
125#2576C2214yescomplemented
126#2568C2212yescomplemented
127#2567C2212yescomplemented
128#2565C2212yescomplemented
129#2565C2212yescomplemented
130#2559C2214yescomplemented
131#2557C2214yescomplemented
132#2555C2214yescomplemented
133#2554C2214yescomplemented
134#2554C2214yescomplemented
135#2548C2212yescomplemented
136#2548C2212yescomplemented
137#2538C2212yescomplemented
138#2537C2212yescomplemented
139#2536C2212yescomplemented
140#2535C2212yescomplemented
141#2513C2212yescomplemented
142#2513C2212yescomplemented
143#2512C2212yescomplemented
144#2512C2212yescomplemented
145#2504C2212yescomplemented
146#2501C2212yescomplemented
147#2500C2212yescomplemented
148#2500C2212yescomplemented
149#2497C2212yescomplemented
150#2497C2212yescomplemented
151#2496C2212yescomplemented
152#2496C2212yescomplemented
153#2495C2212yescomplemented
154#2495C2212yescomplemented
155#2494C2212yescomplemented
156#2494C2212yescomplemented
157#2493C2214yes—
158#2492C2211yescharacteristic, complemented
159#2492C2211yescharacteristic, complemented
160#2491C2212yescomplemented
161#2491C2212yescomplemented
162#2491C2211yescharacteristic, complemented
163#2491C2211yescharacteristic, complemented
164#2490C2212yescomplemented
165#2490C2211yescharacteristic, complemented
166#2490C2212yescomplemented
167#2490C2211yescharacteristic, complemented
168#2489C2211yescharacteristic, complemented
169#2489C2211yescharacteristic, complemented
170#2488C2212yes—
171#2488C2212yes—
172#2480C2214yes—
173#2480C2214yes—
174#2480C2214yes—
175#2472C2214yes—
176#2472C2214yes—
177#2472C2212yes—
178#2472C2212yes—
179#2448C2212yescomplemented
180#2448C2212yescomplemented
181#2445C2212yescomplemented
182#2445C2212yescomplemented
183#2432C2212yes—
184#2432C2212yes—
185#2432C2212yes—
186#2432C2212yes—
187#2431C2212yes—
188#2431C2212yes—
189#2431C2212yes—
190#2431C2212yes—
191#2429C2212yescomplemented
192#2429C2212yescomplemented
193#2429C2212yescomplemented
194#2429C2212yescomplemented
195#2428C2212yescomplemented
196#2428C2212yescomplemented
197#2426C2212yescomplemented
198#2426C2212yescomplemented
199#2426C2212yescomplemented
200#2426C2212yescomplemented
201#2426C2212yescomplemented
202#2426C2212yescomplemented
203#2425C2214yes—
204#2424C2214yes—
205#2424C2214yes—
206#2424C2214yes—
207#2423C2211yescharacteristic, complemented
208#2423C2211yescharacteristic, complemented
209#2422C2211yescharacteristic, complemented
210#2422C2211yescharacteristic, complemented
211#2421C2211yescharacteristic, complemented
212#2421C2211yescharacteristic, complemented
213#2420C2211yescharacteristic, complemented
214#2420C2211yescharacteristic, complemented
215#2419C2212yes—
216#2419C2212yes—
217#2418C2214yes—
218#2418C2214yes—
219#2418C2212yes—
220#2418C2212yes—
221#2417C2212yescomplemented
222#2416C2212yescomplemented
223#2415C2212yescomplemented
224#2414C2212yescomplemented
225#2407C2212yes—
226#2407C2212yes—
227#2407C2212yes—
228#2407C2212yes—
229#2407C2212yes—
230#2407C2212yes—
231#2407C2212yes—
232#2407C2212yes—
233#2398C2212yescomplemented
234#2398C2212yescomplemented
235#2395C2212yescomplemented
236#2395C2212yescomplemented
237#2367C2212yescomplemented
238#2367C2212yescomplemented
239#2365C2212yescomplemented
240#2365C2212yescomplemented
241#2362C2212yescomplemented
242#2362C2212yescomplemented
243#2360C2212yescomplemented
244#2360C2212yescomplemented
245#2341C2212yes—
246#2341C2212yes—
247#2341C2212yes—
248#2341C2212yes—
249#2341C2212yes—
250#2341C2212yes—
251#2341C2212yes—
252#2341C2212yes—
253#2337C2214yescomplemented
254#2335C2214yescomplemented
255#2334C2214yescomplemented
256#2333C2214yescomplemented
257#2327C2212yescomplemented
258#2326C2212yescomplemented
259#2323C2212yescomplemented
260#2323C2212yescomplemented
261#2322C2214yes—
262#2322C2214yes—
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2317C2211yescharacteristic
266#2316C2211yescharacteristic
267#2311C2211yescharacteristic
268#2310C2211yescharacteristic
269#2310C2211yescharacteristic
270#2309C2211yescharacteristic
271#2309C2211yescharacteristic
272C4×C4⋊Q8C2212yescomplemented
273C4×#124C2212yescomplemented
274C4×#124C2212yescomplemented
275C4×#124C2212yescomplemented
276C4×C22⋊Q8C2212yescomplemented
277C4×C22⋊Q8C2212yescomplemented
278C4×#123C2214yes—
279C4×#123C2214yes—
280C4×#123C2212yescomplemented
281C4×#123C2212yescomplemented
282#2297C2211yescharacteristic
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2296C2211yescharacteristic
286C2×#390C2212yes—
287C2×#390C2212yes—
288C2×#390C2211yescharacteristic
289C2×#390C2211yescharacteristic
290#2285C2211yescharacteristic
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293C2×#380C2212yes—
294C2×#380C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C22⋊C4C2212yes—
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41—28no—
300C22×#41—44no—
301C22×#41—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2312yes—
308C23×Q8C2311yescharacteristic
309C23×D4C2311yescharacteristic
310C23×D4C2312yes—
311C24×C4C2311yescharacteristic
312C24×C4C2312yes—
313#537—44no—
314#536—28no—
315#536—28no—
316#535—44no—
317#535—44no—
318#533—44no—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2311yescharacteristic
322C2×C4⋊Q8C2311yescharacteristic
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#126C2314yes—
326C2×#126C2314yes—
327C2×#126C2314yes—
328C2×#125C2311yescharacteristic
329C2×#125C2311yescharacteristic
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2314yes—
338#525—44no—
339#525—44no—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2312yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×#123C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2312yes—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2311yescharacteristic
368C2×#121C2311yescharacteristic
369C2×#121C2311yescharacteristic
370C2×#121C2311yescharacteristic
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#120C2314yes—
375C2×#120C2314yes—
376C2×#120C2312yes—
377C2×#120C2312yes—
378#520—44no—
379C4×#41—44no—
380C2×C4×Q8—44no—
381C2×C4×Q8—44no—
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2311yescharacteristic
405C2×#117C2311yescharacteristic
406C2×#117C2311yescharacteristic
407C2×#117C2311yescharacteristic
408C2×#117C2311yescharacteristic
409C2×#117C2311yescharacteristic
410C2×#117C2311yescharacteristic
411C2×#117C2312yes—
412C2×#117C2312yes—
413C22×C4⋊C4C2311yescharacteristic
414C22×C4⋊C4C2311yescharacteristic
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2312yes—
417C22×C4⋊C4C2312yes—
418C22×C22⋊C4C2311yescharacteristic
419C22×C22⋊C4C2311yescharacteristic
420C22×C22⋊C4C2312yes—
421C22×C22⋊C4C2312yes—
422C22×C22⋊C4C2312yes—
423C22×C22⋊C4C2312yes—
424C22×C22⋊C4C2312yes—
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2312yes—
428C22×C42C2312yes—
429C22×C42C2312yes—
430#401C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2312yes—
434#400C2312yes—
435#400C2314yes—
436#400C2314yes—
437#400C2312yes—
438#400C2312yes—
439#400C2314yes—
440#400C2312yes—
441#400C2312yes—
442#399C2312yes—
443#399C2314yes—
444#399C2314yes—
445#399C2312yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2312yes—
452#398C2314yes—
453#398C2314yes—
454#398C2312yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2312yes—
467#397C2314yes—
468#397C2314yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2312yes—
474#397C2312yes—
475#397C2312yes—
476#397C2312yes—
477#397C2312yes—
478#397C2312yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#395C2314yes—
491#395C2314yes—
492#394C2312yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2312yes—
521#394C2312yes—
522#394C2314yes—
523#394C2312yes—
524#394C2312yes—
525#393C2312yes—
526#393C2314yes—
527#393C2314yes—
528#393C2312yes—
529#393C2312yes—
530#393C2312yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2314yes—
552#391C2314yes—
553#391C2312yes—
554#391C2311yescharacteristic
555#391C2311yescharacteristic
556#391C2311yescharacteristic
557#391C2311yescharacteristic
558#391C2311yescharacteristic
559#391C2311yescharacteristic
560#391C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2314yes—
571#390C2314yes—
572#390C2314yes—
573#390C2314yes—
574#390C2314yes—
575#390C2312yes—
576#390C2312yes—
577#390C2314yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2314yes—
583#390C2314yes—
584#390C2312yes—
585#390C2312yes—
586#390C2314yes—
587#390C2314yes—
588#390C2314yes—
589#390C2314yes—
590#390C2311yescharacteristic
591#390C2314yes—
592#390C2311yescharacteristic
593#390C2312yes—
594#390C2314yes—
595#390C2314yes—
596#390C2311yescharacteristic
597#390C2311yescharacteristic
598#390C2311yescharacteristic
599#390C2311yescharacteristic
600#390C2312yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2314yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2314yes—
616#389C2314yes—
617#389C2314yes—
618#389C2314yes—
619#389C2314yes—
620#389C2311yescharacteristic
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2311yescharacteristic
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2312yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2312yes—
660#388C2312yes—
661#388C2314yes—
662#388C2314yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2312yes—
683#387C2312yes—
684#387C2314yes—
685#387C2314yes—
686#387C2312yes—
687#387C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#386C2312yes—
706#386C2312yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2312yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2312yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2312yes—
727#385C2314yes—
728#385C2312yes—
729#385C2312yes—
730#384C2312yes—
731#384C2312yes—
732#384C2312yes—
733#384C2311yescharacteristic
734#384C2311yescharacteristic
735#383C2314yes—
736#382C2312yes—
737#382C2312yes—
738#382C2312yes—
739#382C2312yes—
740#382C2311yescharacteristic
741#382C2311yescharacteristic
742#382C2312yes—
743#381C2314yes—
744#381C2314yes—
745#381C2312yes—
746#381C2312yes—
747#381C2312yes—
748#381C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2314yes—
756#380C2314yes—
757#380C2314yes—
758#380C2314yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2311yescharacteristic
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771#379C2314yes—
772#379C2314yes—
773#379C2312yes—
774#379C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820#376C2312yes—
821C2×#95C2311yescharacteristic
822C2×#95C2311yescharacteristic
823C2×#95C2312yes—
824C43C2312yes—
825C25C2411yescharacteristic
826C25C2412yes—
827C2×#41—28no—
828C2×#41—28no—
829C2×#41—28no—
830C2×#41—28no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—44no—
838C2×#41—44no—
839C2×#41—44no—
840C2×#41—44no—
841C2×#41—44no—
842C2×#41—44no—
843C2×#41—44no—
844C2×#41—44no—
845C2×#41—464no—
846C22×Q8—24no—
847C22×Q8—24no—
848C22×Q8#4118yes—
849C22×Q8C2411yescharacteristic
850C22×Q8C2411yescharacteristic
851C22×Q8C2412yes—
852C22×Q8C2412yes—
853C22×Q8C2412yes—
854C22×Q8C2412yes—
855C22×D4—28no—
856C22×D4—24no—
857C22×D4—24no—
858C22×D4—24no—
859C22×D4—44no—
860C22×D4—44no—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2411yescharacteristic
864C22×D4C2411yescharacteristic
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C22×D4C2414yes—
878C23×C4—28no—
879C23×C4—24no—
880C23×C4—24no—
881C23×C4—24no—
882C23×C4—44no—
883C23×C4—44no—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2411yescharacteristic
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2411yescharacteristic
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2411yescharacteristic
898C23×C4C2412yes—
899C23×C4C2414yes—
900C23×C4C2414yes—
901C23×C4C2414yes—
902C23×C4C2412yes—
903C23×C4C2411yescharacteristic
904C4⋊Q8—28no—
905C4⋊Q8—28no—
906C4⋊Q8—42no—
907C4⋊Q8—42no—
908#127—44no—
909#127—44no—
910#126—48no—
911#126—84no—
912#126—84no—
913#125—42no—
914#125—42no—
915#124—28no—
916#124—28no—
917#124—44no—
918#124—44no—
919#124—44no—
920#124—48no—
921#124—44no—
922#124—84no—
923#123—216no—
924#123—216no—
925#123—44no—
926#123—48no—
927#123—44no—
928#123—44no—
929#123—44no—
930#123—84no—
931C22⋊Q8—28no—
932C22⋊Q8—28no—
933C22⋊Q8—28no—
934C22⋊Q8—28no—
935C22⋊Q8—44no—
936C22⋊Q8—44no—
937C22⋊Q8—42no—
938C22⋊Q8—42no—
939C22⋊Q8—42no—
940C22⋊Q8—42no—
941C22⋊Q8—44no—
942C22⋊Q8—44no—
943#121—48no—
944#121—42no—
945#121—42no—
946#121—42no—
947#121—42no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—44no—
954#121—48no—
955#121—84no—
956#121—84no—
957#120—44no—
958#120—44no—
959#120—48no—
960#120—48no—
961C4×Q8—44no—
962C4×Q8—44no—
963C4×Q8—44no—
964C4×Q8—44no—
965C4×Q8—44no—
966C4×Q8—44no—
967C4×Q8—44no—
968C4×Q8—44no—
969C4×Q8—44no—
970C4×Q8—44no—
971C4×Q8—42no—
972C4×Q8—42no—
973C4×Q8—44no—
974C4×D4—42no—
975C4×D4—42no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—48no—
984#117—24no—
985#117—24no—
986#117—24no—
987#117—24no—
988#117—24no—
989#117—24no—
990#117—44no—
991#117—44no—
992C2×C4⋊C4—24no—
993C2×C4⋊C4—24no—
994C2×C4⋊C4—44no—
995C2×C4⋊C4—44no—
996C2×C4⋊C4—44no—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C22⋊C4—44no—
1052C2×C22⋊C4—42no—
1053C2×C22⋊C4—42no—
1054C2×C22⋊C4—44no—
1055C2×C22⋊C4—82no—
1056C2×C22⋊C4—82no—
1057C2×C22⋊C4—82no—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C22⋊C4C2411yescharacteristic
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C42—24no—
1134C2×C42—24no—
1135C2×C42—44no—
1136C2×C42—44no—
1137C2×C42—44no—
1138C2×C42C2411yescharacteristic
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2412yes—
1153C2×C42C2414yes—
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2414yes—
1157C2×C42C2414yes—
1158C2×C42C2414yes—
1159C2×C42C2414yes—
1160C2×C42C2414yes—
1161C2×C42C2412yes—
1162C2×C42C2414yes—
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2411yescharacteristic
1168#95C2411yescharacteristic
1169#95C2414yes—
1170#95C2411yescharacteristic
1171#95C2411yescharacteristic
1172#95C2411yescharacteristic
1173#95C2414yes—
1174#95C2411yescharacteristic
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2412yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2412yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227C24—24no—
1228C24—22no—
1229C24—22no—
1230C24—22no—
1231C24—24no—
1232C24—24no—
1233C24—41no—
1234C24—41no—
1235C24—42no—
1236C24—42no—
1237C24—41no—
1238C24—42no—
1239C24—41no—
1240C24—42no—
1241C24C2511yescharacteristic
1242C24C2511yescharacteristic
1243C24C2514yes—
1244C24C2512yes—
1245C24C2512yes—
1246C24C2511yescharacteristic
1247#41—432no—
1248#41—432no—
1249#41—432no—
1250#41—432no—
1251#41—416no—
1252#41—416no—
1253C2×Q8—232no—
1254C2×Q8—22no—
1255C2×Q8—22no—
1256C2×Q8—24no—
1257C2×Q8—24no—
1258C2×Q8—24no—
1259C2×Q8—24no—
1260C2×Q8—22no—
1261C2×Q8—22no—
1262C2×Q8—22no—
1263C2×Q8—22no—
1264C2×Q8—24no—
1265C2×Q8—42no—
1266C2×Q8—42no—
1267C2×Q8—42no—
1268C2×Q8—42no—
1269C2×Q8—42no—
1270C2×Q8C2×#4118yes—
1271C2×Q8C2×#4118yes—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—28no—
1281C2×D4—28no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—432no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—416no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—28no—
1339C22×C4—28no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—24no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—24no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—41no—
1368C22×C4—42no—
1369C22×C4—41no—
1370C22×C4—42no—
1371C22×C4—41no—
1372C22×C4—42no—
1373C22×C4—41no—
1374C22×C4—42no—
1375C22×C4—42no—
1376C22×C4—42no—
1377C22×C4—42no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—432no—
1382C22×C4—416no—
1383C22×C4C2×#4118yes—
1384C22×C4C2×#4114yes—
1385C22×C4H(5,𝔽2)14yes—
1386C22×C4H(5,𝔽2)14yes—
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2512yes—
1401C22×C4C2511yescharacteristic
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2514yes—
1405C22×C4C2512yes—
1406C22×C4C2514yes—
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2511yescharacteristic
1410C22×C4C2511yescharacteristic
1411C22×C4C2514yes—
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—28no—
1421C4⋊C4—28no—
1422C4⋊C4—28no—
1423C4⋊C4—28no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4—44no—
1461C4⋊C4—42no—
1462C4⋊C4—44no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4—44no—
1468C4⋊C4—42no—
1469C4⋊C4—44no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—28no—
1477C22⋊C4—28no—
1478C22⋊C4—28no—
1479C22⋊C4—28no—
1480C22⋊C4—28no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—28no—
1484C22⋊C4—22no—
1485C22⋊C4—22no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—41no—
1490C22⋊C4—44no—
1491C22⋊C4—41no—
1492C22⋊C4—41no—
1493C22⋊C4—44no—
1494C22⋊C4—41no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—42no—
1502C22⋊C4—44no—
1503C22⋊C4—42no—
1504C22⋊C4—44no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—44no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—42no—
1526C22⋊C4—44no—
1527C22⋊C4—42no—
1528C22⋊C4—44no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—44no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—44no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—44no—
1539C22⋊C4—42no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C42—24no—
1546C42—24no—
1547C42—22no—
1548C42—22no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—22no—
1553C42—22no—
1554C42—22no—
1555C42—24no—
1556C42—24no—
1557C42—24no—
1558C42—24no—
1559C42—24no—
1560C42—42no—
1561C42—42no—
1562C42—44no—
1563C42—44no—
1564C42—44no—
1565C42—44no—
1566C42—42no—
1567C42—44no—
1568C42—44no—
1569C42—42no—
1570C42—44no—
1571C42—42no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—22no—
1577C23—22no—
1578C23—21no—
1579C23—24no—
1580C23—21no—
1581C23—22no—
1582C23—22no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—22no—
1588C23—22no—
1589C23—24no—
1590C23—24no—
1591C23—21no—
1592C23—21no—
1593C23—24no—
1594C23—24no—
1595C23—21no—
1596C23—21no—
1597C23—22no—
1598C23—22no—
1599C23—22no—
1600C23—22no—
1601C23—21no—
1602C23—24no—
1603C23—21no—
1604C23—22no—
1605C23—22no—
1606C23—21no—
1607C23—22no—
1608C23—24no—
1609C23—22no—
1610C23—21no—
1611C23—44no—
1612C23—48no—
1613C23—44no—
1614C23—48no—
1615C23—48no—
1616C23—44no—
1617C23—82no—
1618C23—82no—
1619C23—84no—
1620C23—84no—
1621C23—82no—
1622C23—82no—
1623C23—84no—
1624C23—84no—
1625C23C22×#4112yes—
1626C23C2×H(5,𝔽2)12yes—
1627C23C2×H(5,𝔽2)12yes—
1628C23C2611yescharacteristic
1629Q8—216no—
1630Q8—216no—
1631Q8—44no—
1632Q8—44no—
1633Q8—84no—
1634Q8—84no—
1635D4—416no—
1636D4—416no—
1637D4—48no—
1638D4—48no—
1639D4—48no—
1640D4—48no—
1641D4—44no—
1642D4—44no—
1643D4—84no—
1644D4—84no—
1645D4—84no—
1646D4—84no—
1647D4—164no—
1648D4—164no—
1649D4—164no—
1650D4—164no—
1651D4—164no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—24no—
1655C2×C4—24no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—216no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—24no—
1682C2×C4—22no—
1683C2×C4—24no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—24no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—24no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—24no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—24no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—44no—
1732C2×C4—44no—
1733C2×C4—416no—
1734C2×C4—416no—
1735C2×C4—44no—
1736C2×C4—44no—
1737C2×C4—44no—
1738C2×C4—44no—
1739C2×C4—44no—
1740C2×C4—48no—
1741C2×C4—48no—
1742C2×C4—84no—
1743C2×C4—82no—
1744C2×C4—82no—
1745C2×C4—84no—
1746C2×C4—84no—
1747C2×C4—84no—
1748C2×C4—164no—
1749C2×C4#538116yes—
1750C2×C4C22×#4118yes—
1751C2×C4C22×#4112yes—
1752C2×C4C22×#4112yes—
1753C2×C4C2×H(5,𝔽2)12yes—
1754C2×C4C2×H(5,𝔽2)12yes—
1755C2×C4C2×H(5,𝔽2)12yes—
1756C2×C4C2×H(5,𝔽2)12yes—
1757C2×C4#58512yes—
1758C2×C4#58512yes—
1759C22—22no—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—42no—
1766C22—42no—
1767C22—41no—
1768C22—44no—
1769C22—41no—
1770C22—42no—
1771C22—42no—
1772C22—41no—
1773C22—44no—
1774C22—41no—
1775C22—44no—
1776C22—41no—
1777C22—41no—
1778C22—42no—
1779C22—42no—
1780C22—42no—
1781C22—41no—
1782C22—41no—
1783C22—42no—
1784C22—42no—
1785C22—42no—
1786C22—44no—
1787C22—44no—
1788C22—41no—
1789C22—41no—
1790C22—42no—
1791C22—42no—
1792C22—41no—
1793C22—41no—
1794C22—42no—
1795C22—42no—
1796C22—44no—
1797C22—44no—
1798C22—41no—
1799C22—41no—
1800C22—88no—
1801C22—816no—
1802C22C2×#53814yes—
1803C22C23×#4111yescharacteristic
1804C22C22×H(5,𝔽2)11yescharacteristic
1805C22C22×H(5,𝔽2)11yescharacteristic
1806C22C2×#58511yescharacteristic
1807C22C2×#58511yescharacteristic
1808C22H(7,𝔽2)11yescharacteristic
1809C222−1+611yescharacteristic
1810C4—28no—
1811C4—22no—
1812C4—22no—
1813C4—42no—
1814C4—42no—
1815C4—42no—
1816C4—42no—
1817C4—41no—
1818C4—41no—
1819C4—42no—
1820C4—42no—
1821C4—41no—
1822C4—41no—
1823C4—42no—
1824C4—42no—
1825C4—42no—
1826C4—42no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—44no—
1831C4—44no—
1832C4—42no—
1833C4—41no—
1834C4—42no—
1835C4—42no—
1836C4—42no—
1837C4C2×#53814yes—
1838C4C2×#53814yes—
1839C2—24no—
1840C2—82no—
1841C2—82no—
1842C2—81no—
1843C2—84no—
1844C2—81no—
1845C2C22×#53811yescharacteristic
1846C2#6279311yescharacteristic
1847C2#6285111yescharacteristic
1848C2#6295411yescharacteristic
1849C2#6295411yescharacteristic
1850C2#6295511yescharacteristic
1851C2#6295511yescharacteristic
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. #42907C2semidirect
2. #42900C2semidirect
3. #42893C2semidirect
4. #42892C2semidirect
5. #42860C2semidirect
6. #42858C2semidirect
7. #42838C2semidirect
8. #42835C2semidirect
9. #40218C2semidirect
10. #40214C2semidirect
11. #40129C2semidirect
12. #40125C2semidirect
13. #39786C2semidirect
14. #39783C2semidirect
15. #39218C2semidirect
16. #39215C2semidirect
17. #37517C2semidirect
18. #37198C2semidirect
19. #37123C2semidirect
20. #35556C2semidirect
21. #35544C2semidirect
22. #35531C2semidirect
23. #35518C2semidirect
24. #35266C2semidirect
25. #35256C2semidirect
26. #35179C2semidirect
27. #35153C2semidirect
28. #35149C2semidirect
29. #35149C2semidirect
30. #35074C2semidirect
31. #34813C2semidirect
32. #34742C2semidirect
33. #34266C2semidirect
34. C2×#2341C2semidirect
35. C4×#536C2semidirect
49. #2860C22semidirect
50. #2860C22semidirect
51. #2856C22semidirect
54. #2850C22semidirect
57. #2830C22semidirect
58. #2829C22semidirect
59. #2829C22semidirect
60. #2828C22semidirect
61. #2808C22semidirect
62. #2803C22semidirect
63. #2803C22semidirect
64. #2803C22semidirect
65. #2803C22semidirect
66. #2800C22semidirect
67. #2800C22semidirect
68. #2797C22semidirect
69. #2797C22semidirect
70. #2788C22semidirect
71. #2787C22semidirect
72. #2786C22semidirect
73. #2784C22semidirect
74. #2781C22semidirect
75. #2780C22semidirect
76. #2779C22semidirect
77. #2778C22semidirect
78. #2770C22semidirect
79. #2768C22semidirect
80. #2756C22semidirect
81. #2750C22semidirect
82. #2733C22semidirect
83. #2727C22semidirect
84. #2715C22semidirect
85. #2714C22semidirect
86. #2714C22semidirect
87. #2710C22semidirect
88. #2710C22semidirect
89. #2708C22semidirect
90. #2695C22semidirect
91. #2686C22semidirect
92. #2682C22semidirect
93. #2662C22semidirect
94. #2662C22semidirect
95. #2661C22semidirect
96. #2661C22semidirect
97. #2653C22semidirect
98. #2652C22semidirect
99. #2651C22semidirect
100. #2651C22semidirect
101. #2649C22semidirect
102. #2648C22semidirect
103. #2648C22semidirect
104. #2648C22semidirect
105. #2644C22semidirect
106. #2644C22semidirect
108. #2620C22semidirect
109. #2619C22semidirect
113. #2597C22semidirect
114. #2595C22semidirect
115. #2593C22semidirect
116. #2592C22semidirect
117. #2592C22semidirect
118. #2589C22semidirect
119. #2587C22semidirect
120. #2582C22semidirect
121. #2582C22semidirect
122. #2581C22semidirect
123. #2581C22semidirect
124. #2578C22semidirect
125. #2576C22semidirect
126. #2568C22semidirect
127. #2567C22semidirect
128. #2565C22semidirect
129. #2565C22semidirect
130. #2559C22semidirect
131. #2557C22semidirect
132. #2555C22semidirect
133. #2554C22semidirect
134. #2554C22semidirect
135. #2548C22semidirect
136. #2548C22semidirect
137. #2538C22semidirect
138. #2537C22semidirect
139. #2536C22semidirect
140. #2535C22semidirect
141. #2513C22semidirect
142. #2513C22semidirect
143. #2512C22semidirect
144. #2512C22semidirect
145. #2504C22semidirect
146. #2501C22semidirect
147. #2500C22semidirect
148. #2500C22semidirect
149. #2497C22semidirect
150. #2497C22semidirect
151. #2496C22semidirect
152. #2496C22semidirect
153. #2495C22semidirect
154. #2495C22semidirect
155. #2494C22semidirect
156. #2494C22semidirect
158. #2492C22semidirect
159. #2492C22semidirect
160. #2491C22semidirect
161. #2491C22semidirect
162. #2491C22semidirect
163. #2491C22semidirect
164. #2490C22semidirect
165. #2490C22semidirect
166. #2490C22semidirect
167. #2490C22semidirect
168. #2489C22semidirect
169. #2489C22semidirect
179. #2448C22semidirect
180. #2448C22semidirect
181. #2445C22semidirect
182. #2445C22semidirect
191. #2429C22semidirect
192. #2429C22semidirect
193. #2429C22semidirect
194. #2429C22semidirect
195. #2428C22semidirect
196. #2428C22semidirect
197. #2426C22semidirect
198. #2426C22semidirect
199. #2426C22semidirect
200. #2426C22semidirect
201. #2426C22semidirect
202. #2426C22semidirect
207. #2423C22semidirect
208. #2423C22semidirect
209. #2422C22semidirect
210. #2422C22semidirect
211. #2421C22semidirect
212. #2421C22semidirect
213. #2420C22semidirect
214. #2420C22semidirect
221. #2417C22semidirect
222. #2416C22semidirect
223. #2415C22semidirect
224. #2414C22semidirect
233. #2398C22semidirect
234. #2398C22semidirect
235. #2395C22semidirect
236. #2395C22semidirect
237. #2367C22semidirect
238. #2367C22semidirect
239. #2365C22semidirect
240. #2365C22semidirect
241. #2362C22semidirect
242. #2362C22semidirect
243. #2360C22semidirect
244. #2360C22semidirect
253. #2337C22semidirect
254. #2335C22semidirect
255. #2334C22semidirect
256. #2333C22semidirect
257. #2327C22semidirect
258. #2326C22semidirect
259. #2323C22semidirect
260. #2323C22semidirect
272. C4×C4⋊Q8C22semidirect
273. C4×#124C22semidirect
274. C4×#124C22semidirect
275. C4×#124C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×C22⋊Q8C22semidirect
280. C4×#123C22semidirect
281. C4×#123C22semidirect

Maximal subgroups

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

subgroupindex
#429072
#429002
#428932
#428922
#428602
#428582
#428382
#428352
#402182
#402142
#401292
#401252
#397862
#397832
#392182
#392152
#375172
#371982
#371232
#355562
#355442
#355312
#355182
#352662
#352562
#351792
#351532
#351492
#350742
#348132
#347422
#342662
C2×#23412
C4×#5362