Finite Group Databasebeta

← #8466986

Subgroups — #8466986

Order 512.

5737 conjugacy classes of subgroups.

The subgroup lattice has 1885 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59641C211yesmaximal, characteristic, complemented
2#59124C211yesmaximal, characteristic, complemented
3#59078C211yesmaximal, characteristic, complemented
4#58216C214yesmaximal, complemented
5#56397C214yesmaximal, complemented
6#54928C214yesmaximal, complemented
7#53117C212yesmaximal, complemented
8#52981C212yesmaximal, complemented
9#49934C214yesmaximal, complemented
10#45610C212yesmaximal, complemented
11#45522C212yesmaximal, complemented
12#45103C212yesmaximal, complemented
13#44957C212yesmaximal, complemented
14#42988C212yesmaximal, complemented
15#42873C212yesmaximal, complemented
16#42486C212yesmaximal, complemented
17#42443C212yesmaximal, complemented
18#40054C212yesmaximal, complemented
19#39606C211yesmaximal, characteristic, complemented
20#39433C212yesmaximal, complemented
21#39387C211yesmaximal, characteristic, complemented
22#39341C211yesmaximal, characteristic, complemented
23#39174C211yesmaximal, characteristic, complemented
24#39137C212yesmaximal, complemented
25#37751C212yesmaximal, complemented
26#37625C211yesmaximal, characteristic, complemented
27#37331C212yesmaximal, complemented
28#37296C212yesmaximal, complemented
29#36445C211yesmaximal, characteristic, complemented
30#36121C211yesmaximal, characteristic, complemented
31#36117C211yesmaximal, characteristic, complemented
32#35272C211yesmaximal, characteristic, complemented
33#35166C211yesmaximal, characteristic, complemented
34#34772C211yesmaximal, characteristic, complemented
35#34715C211yesmaximal, characteristic, complemented
36C2×#559C2212yescomplemented
37C2×#557C2211yescharacteristic, complemented
38C2×#550C2211yescharacteristic
39C2×#546C2212yes—
40C2×#546C2212yes—
41C2×#542C2212yescomplemented
42C2×#537C2212yescomplemented
43C2×#537C2212yescomplemented
44C2×#537C2212yescomplemented
45C2×#535C2212yes—
46C2×#532C2211yescharacteristic
47C2×#532C2211yescharacteristic, complemented
48C22×#127C2211yescharacteristic
49C2×#529C2212yescomplemented
50C2×C4×#41C2211yescharacteristic
51#2858C2211yescharacteristic
52#2857C2211yescharacteristic
53#2857C2212yescomplemented
54#2856C2212yes—
55#2856C2211yescharacteristic
56#2856C2212yes—
57#2856C2212yescomplemented
58#2856C2212yescomplemented
59#2854C2212yescomplemented
60#2842C2214yes—
61#2837C2214yescomplemented
62#2829C2214yescomplemented
63#2829C2214yescomplemented
64#2813C2214yescomplemented
65#2813C2214yescomplemented
66#2813C2214yescomplemented
67#2813C2214yescomplemented
68#2803C2214yescomplemented
69#2797C2214yescomplemented
70#2796C2214yescomplemented
71#2780C2214yescomplemented
72#2768C2214yescomplemented
73#2748C2214yes—
74#2748C2214yescomplemented
75#2732C2214yescomplemented
76#2732C2214yescomplemented
77#2730C2214yescomplemented
78#2718C2214yescomplemented
79#2714C2214yescomplemented
80#2711C2214yescomplemented
81#2711C2214yescomplemented
82#2711C2214yescomplemented
83#2710C2214yescomplemented
84#2710C2214yescomplemented
85#2705C2214yescomplemented
86#2705C2214yescomplemented
87#2705C2214yescomplemented
88#2703C2214yescomplemented
89#2701C2214yescomplemented
90#2697C2214yes—
91#2692C2214yescomplemented
92#2691C2214yescomplemented
93#2685C2214yes—
94#2685C2214yes—
95#2682C2214yescomplemented
96#2682C2214yescomplemented
97#2682C2214yescomplemented
98#2682C2214yescomplemented
99#2680C2214yescomplemented
100#2678C2214yes—
101#2678C2214yes—
102#2678C2214yes—
103#2676C2214yescomplemented
104#2676C2214yescomplemented
105#2675C2214yescomplemented
106#2673C2214yes—
107#2671C2214yescomplemented
108#2671C2214yescomplemented
109#2671C2214yescomplemented
110#2671C2214yescomplemented
111#2671C2214yescomplemented
112#2671C2214yescomplemented
113#2671C2214yescomplemented
114#2671C2214yescomplemented
115#2670C2214yes—
116#2668C2214yes—
117#2663C2214yescomplemented
118#2656C2214yescomplemented
119#2651C2214yescomplemented
120#2644C2212yescomplemented
121#2641C2212yescomplemented
122#2641C2212yescomplemented
123#2630C2214yescomplemented
124#2629C2212yes—
125#2626C2214yes—
126#2626C2214yes—
127#2624C2212yescomplemented
128#2620C2214yescomplemented
129#2620C2212yescomplemented
130#2620C2212yescomplemented
131#2619C2214yes—
132#2615C2212yescomplemented
133#2580C2212yescomplemented
134#2566C2212yescomplemented
135#2560C2214yescomplemented
136#2555C2214yescomplemented
137#2552C2211yescharacteristic, complemented
138#2548C2211yescharacteristic
139#2548C2212yes—
140#2548C2211yescharacteristic
141#2548C2211yescharacteristic
142#2548C2212yescomplemented
143#2548C2212yescomplemented
144#2545C2212yescomplemented
145#2544C2212yes—
146#2542C2212yes—
147#2542C2211yescharacteristic, complemented
148#2542C2211yescharacteristic, complemented
149#2542C2212yescomplemented
150#2541C2212yes—
151#2541C2211yescharacteristic
152#2541C2211yescharacteristic
153#2541C2212yes—
154#2541C2211yescharacteristic
155#2541C2212yescomplemented
156#2541C2212yescomplemented
157#2540C2214yescomplemented
158#2540C2214yescomplemented
159#2540C2212yescomplemented
160#2540C2212yescomplemented
161#2539C2214yes—
162#2538C2212yes—
163#2538C2212yes—
164#2538C2211yescharacteristic, complemented
165#2538C2212yescomplemented
166#2537C2214yescomplemented
167#2522C2212yes—
168#2520C2212yescomplemented
169#2512C2212yescomplemented
170#2512C2212yescomplemented
171#2511C2211yescharacteristic, complemented
172#2507C2212yescomplemented
173#2507C2211yescharacteristic, complemented
174#2505C2212yescomplemented
175#2502C2212yescomplemented
176#2502C2211yescharacteristic, complemented
177#2501C2212yescomplemented
178#2501C2212yescomplemented
179#2497C2211yescharacteristic
180#2492C2211yescharacteristic
181#2491C2212yescomplemented
182#2490C2212yescomplemented
183#2487C2211yescharacteristic
184#2479C2214yescomplemented
185#2476C2214yescomplemented
186#2476C2212yescomplemented
187#2474C2212yescomplemented
188#2464C2214yescomplemented
189#2464C2214yescomplemented
190#2460C2214yescomplemented
191#2459C2212yes—
192#2456C2212yes—
193#2455C2214yescomplemented
194#2454C2214yes—
195#2454C2212yescomplemented
196#2454C2212yescomplemented
197#2454C2212yescomplemented
198#2454C2212yescomplemented
199#2454C2212yescomplemented
200#2452C2212yescomplemented
201#2451C2211yescharacteristic, complemented
202#2450C2212yes—
203#2448C2212yescomplemented
204#2448C2212yescomplemented
205#2448C2212yescomplemented
206#2445C2212yes—
207#2445C2212yes—
208#2445C2212yes—
209#2445C2212yescomplemented
210#2445C2212yescomplemented
211#2445C2211yescharacteristic, complemented
212#2445C2212yescomplemented
213#2441C2212yes—
214#2441C2214yescomplemented
215#2440C2211yescharacteristic, complemented
216#2439C2211yescharacteristic
217#2437C2214yes—
218#2435C2212yes—
219#2433C2212yes—
220#2432C2212yescomplemented
221#2432C2212yescomplemented
222#2432C2212yescomplemented
223#2431C2212yes—
224#2431C2211yescharacteristic
225#2431C2212yes—
226#2428C2212yes—
227#2428C2212yes—
228#2428C2212yes—
229#2428C2212yescomplemented
230#2428C2212yescomplemented
231#2427C2212yescomplemented
232#2427C2212yescomplemented
233#2426C2212yescomplemented
234#2426C2212yescomplemented
235#2426C2212yescomplemented
236#2426C2211yescharacteristic, complemented
237#2426C2212yescomplemented
238#2425C2214yescomplemented
239#2424C2214yes—
240#2424C2214yes—
241#2423C2212yescomplemented
242#2422C2212yescomplemented
243#2422C2212yescomplemented
244#2420C2211yescharacteristic, complemented
245#2417C2211yescharacteristic
246#2417C2212yes—
247#2416C2212yescomplemented
248#2414C2211yescharacteristic
249#2411C2214yes—
250#2410C2214yes—
251#2408C2214yes—
252#2408C2212yes—
253#2408C2212yes—
254#2408C2212yes—
255#2408C2212yes—
256#2408C2212yes—
257#2407C2211yescharacteristic
258#2407C2212yescomplemented
259#2402C2212yescomplemented
260#2396C2212yes—
261#2392C2212yes—
262#2388C2212yes—
263#2377C2214yescomplemented
264#2367C2212yescomplemented
265#2366C2211yescharacteristic
266#2365C2211yescharacteristic, complemented
267#2361C2212yescomplemented
268#2361C2212yescomplemented
269#2354C2212yescomplemented
270Q8×C4⋊C4C2211yescharacteristic, complemented
271Q8×C4⋊C4C2212yescomplemented
272D4×C4⋊C4C2211yescharacteristic, complemented
273#2341C2212yes—
274#2341C2212yescomplemented
275D4×C22⋊C4C2212yes—
276D4×C22⋊C4C2212yes—
277D4×C22⋊C4C2212yes—
278#2326C2212yescomplemented
279#2324C2212yes—
280#2324C2214yescomplemented
281#2309C2212yes—
282C4×C4⋊Q8C2211yescharacteristic, complemented
283C4×#127C2211yescharacteristic
284C4×#124C2211yescharacteristic, complemented
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2212yescomplemented
287C4×C22⋊Q8C2211yescharacteristic, complemented
288C4×C22⋊Q8C2212yescomplemented
289C4×C22⋊Q8C2211yescharacteristic, complemented
290C4×#123C2212yescomplemented
291C4×#121C2211yescharacteristic
292#2297C2212yescomplemented
293#2295C2211yescharacteristic, complemented
294#2293C2211yescharacteristic, complemented
295#2290C2212yes—
296#2285C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306#559—48no—
307#557—44no—
308#550—44no—
309#546—48no—
310#546—48no—
311#542—48no—
312#537—48no—
313#537—48no—
314#537—48no—
315#535—48no—
316#532—44no—
317#532—44no—
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2311yescharacteristic
322C2×#127—44no—
323C2×#127C2311yescharacteristic
324C2×#127C2311yescharacteristic
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2311yescharacteristic
332C2×#127C2312yes—
333#529—48no—
334C2×#126C2314yes—
335C2×#126C2314yes—
336C2×#125C2312yes—
337C2×#125C2312yes—
338C2×#125C2314yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2311yescharacteristic
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2314yes—
345C2×#124C2312yes—
346C2×#124C2314yes—
347C2×#124C2312yes—
348C2×#124C2312yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2312yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×C22⋊Q8C2311yescharacteristic
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2314yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2314yes—
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2314yes—
372C2×C22⋊Q8C2312yes—
373C2×#121C2311yescharacteristic
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2314yes—
385C2×#121C2311yescharacteristic
386C2×#121C2312yes—
387C2×#121C2311yescharacteristic
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2312yes—
393C2×#121C2314yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2314yes—
398C2×#121C2314yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#121C2314yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2314yes—
405C2×#121C2312yes—
406C2×#121C2314yes—
407C2×#120C2314yes—
408C2×#120C2314yes—
409C2×#120C2314yes—
410C2×#120C2314yes—
411C2×#120C2314yes—
412C4×#41—44no—
413C2×C4×Q8C2312yes—
414C2×C4×Q8C2311yescharacteristic
415C2×C4×Q8C2311yescharacteristic
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2312yes—
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2311yescharacteristic
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2312yes—
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2314yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2314yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2312yes—
442C2×#117C2311yescharacteristic
443C2×#117C2312yes—
444C2×#117C2314yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C22×C4⋊C4C2311yescharacteristic
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2312yes—
450C22×C22⋊C4C2314yes—
451C22×C22⋊C4C2314yes—
452C22×C42C2311yescharacteristic
453C22×C42C2311yescharacteristic
454C22×C42C2312yes—
455C22×C42C2312yes—
456#400C2312yes—
457#400C2312yes—
458#400C2312yes—
459#400C2312yes—
460#400C2312yes—
461#399C2314yes—
462#399C2314yes—
463#399C2314yes—
464#399C2314yes—
465#399C2314yes—
466#399C2312yes—
467#399C2314yes—
468#399C2314yes—
469#399C2314yes—
470#399C2314yes—
471#399C2314yes—
472#399C2314yes—
473#399C2314yes—
474#399C2314yes—
475#398C2312yes—
476#398C2314yes—
477#398C2314yes—
478#398C2312yes—
479#398C2314yes—
480#398C2314yes—
481#398C2312yes—
482#398C2314yes—
483#398C2312yes—
484#398C2312yes—
485#398C2312yes—
486#398C2312yes—
487#397C2314yes—
488#397C2312yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2312yes—
503#396C2312yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2312yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2312yes—
516#395C2312yes—
517#395C2312yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2312yes—
543#394C2312yes—
544#394C2312yes—
545#394C2312yes—
546#394C2312yes—
547#394C2312yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#393C2314yes—
558#393C2314yes—
559#393C2312yes—
560#393C2312yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2312yes—
569#392C2312yes—
570#392C2312yes—
571#392C2312yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#391C2312yes—
583#391C2312yes—
584#391C2311yescharacteristic
585#391C2312yes—
586#391C2311yescharacteristic
587#391C2311yescharacteristic
588#391C2312yes—
589#391C2312yes—
590#391C2311yescharacteristic
591#391C2311yescharacteristic
592#391C2311yescharacteristic
593#391C2312yes—
594#390C2314yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2314yes—
601#390C2314yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2314yes—
606#390C2312yes—
607#390C2314yes—
608#390C2314yes—
609#390C2314yes—
610#390C2314yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2314yes—
620#390C2314yes—
621#390C2312yes—
622#390C2312yes—
623#390C2314yes—
624#390C2314yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2314yes—
631#390C2314yes—
632#390C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2314yes—
636#390C2311yescharacteristic
637#390C2311yescharacteristic
638#390C2312yes—
639#390C2311yescharacteristic
640#390C2314yes—
641#390C2312yes—
642#390C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2314yes—
651#389C2312yes—
652#389C2312yes—
653#389C2314yes—
654#389C2314yes—
655#389C2312yes—
656#389C2314yes—
657#389C2312yes—
658#389C2312yes—
659#389C2311yescharacteristic
660#389C2311yescharacteristic
661#389C2314yes—
662#389C2311yescharacteristic
663#389C2311yescharacteristic
664#389C2311yescharacteristic
665#389C2311yescharacteristic
666#389C2311yescharacteristic
667#389C2311yescharacteristic
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2312yes—
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2312yes—
683#388C2314yes—
684#388C2314yes—
685#388C2312yes—
686#388C2312yes—
687#388C2312yes—
688#388C2312yes—
689#388C2312yes—
690#388C2312yes—
691#387C2314yes—
692#387C2312yes—
693#387C2312yes—
694#387C2314yes—
695#387C2312yes—
696#387C2312yes—
697#387C2312yes—
698#387C2312yes—
699#387C2312yes—
700#387C2312yes—
701#387C2314yes—
702#387C2312yes—
703#387C2312yes—
704#387C2312yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#386C2314yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2312yes—
742#385C2312yes—
743#385C2314yes—
744#385C2312yes—
745#385C2312yes—
746#385C2314yes—
747#385C2312yes—
748#385C2312yes—
749#385C2312yes—
750#385C2312yes—
751#384C2311yescharacteristic
752#384C2311yescharacteristic
753#384C2312yes—
754#384C2311yescharacteristic
755#384C2311yescharacteristic
756#384C2312yes—
757#384C2312yes—
758#384C2314yes—
759#384C2312yes—
760#382C2311yescharacteristic
761#382C2312yes—
762#381C2312yes—
763#380C2312yes—
764#380C2314yes—
765#380C2311yescharacteristic
766#380C2312yes—
767#380C2314yes—
768#380C2311yescharacteristic
769#380C2314yes—
770#380C2311yescharacteristic
771#380C2314yes—
772#380C2312yes—
773#380C2314yes—
774#380C2312yes—
775#380C2314yes—
776#380C2311yescharacteristic
777#380C2312yes—
778#380C2311yescharacteristic
779#380C2311yescharacteristic
780#380C2312yes—
781#380C2314yes—
782#379C2314yes—
783#379C2314yes—
784#379C2314yes—
785#379C2314yes—
786#379C2314yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2311yescharacteristic
822#376C2312yes—
823C2×#95C2312yes—
824C43C2311yescharacteristic
825C25C2414yes—
826C2×#41—24no—
827C2×#41—28no—
828C2×#41—28no—
829C2×#41—24no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—42no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C2×#41—44no—
838C22×Q8C2412yes—
839C22×Q8C2411yescharacteristic
840C22×Q8C2411yescharacteristic
841C22×Q8C2412yes—
842C22×Q8C2412yes—
843C22×D4—28no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—44no—
851C22×D4—82no—
852C22×D4C2411yescharacteristic
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2411yescharacteristic
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2411yescharacteristic
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2414yes—
869C22×D4C2412yes—
870C22×D4C2414yes—
871C22×D4C2412yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C22×D4C2414yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2412yes—
885C23×C4C2411yescharacteristic
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2414yes—
889C23×C4C2414yes—
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2412yes—
893C23×C4C2411yescharacteristic
894C23×C4C2414yes—
895C23×C4C2414yes—
896C23×C4C2414yes—
897C4⋊Q8—24no—
898C4⋊Q8—24no—
899C4⋊Q8—42no—
900C4⋊Q8—44no—
901#127—24no—
902#127—24no—
903#127—44no—
904#127—44no—
905#127—44no—
906#127—42no—
907#127—44no—
908#127—44no—
909#127—44no—
910#127—44no—
911#126—48no—
912#126—48no—
913#125—44no—
914#125—44no—
915#125—48no—
916#124—28no—
917#124—28no—
918#124—24no—
919#124—44no—
920#124—48no—
921#124—44no—
922#124—44no—
923#124—44no—
924#124—44no—
925#124—48no—
926#123—48no—
927#123—48no—
928#123—48no—
929#123—48no—
930#123—44no—
931#123—48no—
932#123—48no—
933#123—84no—
934#123—84no—
935#123—84no—
936C22⋊Q8—24no—
937C22⋊Q8—24no—
938C22⋊Q8—28no—
939C22⋊Q8—24no—
940C22⋊Q8—44no—
941C22⋊Q8—48no—
942C22⋊Q8—48no—
943C22⋊Q8—44no—
944C22⋊Q8—44no—
945C22⋊Q8—44no—
946C22⋊Q8—48no—
947C22⋊Q8—44no—
948C22⋊Q8—48no—
949C22⋊Q8—44no—
950#121—28no—
951#121—24no—
952#121—28no—
953#121—44no—
954#121—48no—
955#121—48no—
956#121—48no—
957#121—48no—
958#121—48no—
959#121—48no—
960#121—48no—
961#121—48no—
962#121—48no—
963#121—48no—
964#121—48no—
965#121—44no—
966#121—42no—
967#121—42no—
968#121—44no—
969#121—44no—
970#121—44no—
971#121—44no—
972#121—44no—
973#121—48no—
974#121—44no—
975#121—48no—
976#121—44no—
977#121—48no—
978#121—44no—
979#121—48no—
980#121—48no—
981#121—82no—
982#121—84no—
983#121—84no—
984#120—48no—
985#120—48no—
986#120—48no—
987#120—48no—
988#120—84no—
989C4×Q8—28no—
990C4×Q8—24no—
991C4×Q8—24no—
992C4×Q8—44no—
993C4×Q8—42no—
994C4×Q8—44no—
995C4×Q8—44no—
996C4×Q8—44no—
997C4×D4—24no—
998C4×D4—24no—
999C4×D4—28no—
1000C4×D4—24no—
1001C4×D4—24no—
1002C4×D4—48no—
1003C4×D4—48no—
1004C4×D4—42no—
1005C4×D4—44no—
1006C4×D4—44no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—44no—
1012C4×D4—44no—
1013C4×D4—44no—
1014C4×D4—44no—
1015C4×D4—42no—
1016C4×D4—44no—
1017C4×D4—82no—
1018#117—44no—
1019#117—44no—
1020#117—44no—
1021#117—48no—
1022#117—42no—
1023C2×C4⋊C4—24no—
1024C2×C4⋊C4—24no—
1025C2×C4⋊C4—44no—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C22⋊C4—48no—
1089C2×C22⋊C4—48no—
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2411yescharacteristic
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C42—24no—
1165C2×C42—24no—
1166C2×C42—44no—
1167C2×C42—44no—
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2412yes—
1171C2×C42C2414yes—
1172C2×C42C2412yes—
1173C2×C42C2412yes—
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2412yes—
1180C2×C42C2412yes—
1181C2×C42C2412yes—
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2412yes—
1186C2×C42C2412yes—
1187C2×C42C2411yescharacteristic
1188C2×C42C2412yes—
1189C2×C42C2411yescharacteristic
1190C2×C42C2414yes—
1191C2×C42C2414yes—
1192C2×C42C2412yes—
1193C2×C42C2411yescharacteristic
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2411yescharacteristic
1206#95C2411yescharacteristic
1207#95C2411yescharacteristic
1208#95C2411yescharacteristic
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2414yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2414yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2414yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244C24—28no—
1245C24—44no—
1246C24—44no—
1247C24—44no—
1248C24—44no—
1249C24—44no—
1250C24—44no—
1251C24C2514yes—
1252C24C2514yes—
1253C24C2512yes—
1254C24C2512yes—
1255C24C2511yescharacteristic
1256C24C2511yescharacteristic
1257#41—416no—
1258#41—816no—
1259#41—816no—
1260#41—816no—
1261C2×Q8—22no—
1262C2×Q8—22no—
1263C2×Q8—24no—
1264C2×Q8—24no—
1265C2×Q8—22no—
1266C2×Q8—22no—
1267C2×Q8—24no—
1268C2×Q8—24no—
1269C2×Q8—24no—
1270C2×Q8—22no—
1271C2×Q8—42no—
1272C2×Q8—42no—
1273C2×Q8—42no—
1274C2×Q8—42no—
1275C2×Q8H(5,𝔽2)14yes—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—24no—
1279C2×D4—28no—
1280C2×D4—28no—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—22no—
1285C2×D4—24no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—22no—
1300C2×D4—28no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—22no—
1304C2×D4—24no—
1305C2×D4—24no—
1306C2×D4—22no—
1307C2×D4—28no—
1308C2×D4—28no—
1309C2×D4—42no—
1310C2×D4—41no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—44no—
1315C2×D4—42no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—42no—
1319C2×D4—44no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—44no—
1327C2×D4—42no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—42no—
1333C2×D4—44no—
1334C2×D4—42no—
1335C2×D4—44no—
1336C2×D4—42no—
1337C2×D4—42no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—42no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—816no—
1361C2×D4—816no—
1362C2×D4—816no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—24no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—24no—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—24no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—22no—
1382C22×C4—24no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—28no—
1386C22×C4—28no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—42no—
1390C22×C4—41no—
1391C22×C4—42no—
1392C22×C4—42no—
1393C22×C4—42no—
1394C22×C4—44no—
1395C22×C4—44no—
1396C22×C4—44no—
1397C22×C4—44no—
1398C22×C4—41no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—41no—
1403C22×C4—42no—
1404C22×C4—42no—
1405C22×C4—42no—
1406C22×C4—44no—
1407C22×C4—44no—
1408C22×C4—44no—
1409C22×C4—44no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4H(5,𝔽2)14yes—
1413C22×C42−1+414yes—
1414C22×C4C2511yescharacteristic
1415C22×C4C2512yes—
1416C22×C4C2511yescharacteristic
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C22×C4C2512yes—
1420C22×C4C2512yes—
1421C22×C4C2511yescharacteristic
1422C22×C4C2512yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2512yes—
1425C22×C4C2512yes—
1426C22×C4C2512yes—
1427C22×C4C2511yescharacteristic
1428C22×C4C2512yes—
1429C22×C4C2512yes—
1430C22×C4C2512yes—
1431C22×C4C2512yes—
1432C22×C4C2514yes—
1433C22×C4C2512yes—
1434C22×C4C2514yes—
1435C22×C4C2511yescharacteristic
1436C22×C4C2511yescharacteristic
1437C22×C4C2512yes—
1438C22×C4C2512yes—
1439C22×C4C2511yescharacteristic
1440C22×C4C2511yescharacteristic
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—22no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—22no—
1452C4⋊C4—24no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—24no—
1457C4⋊C4—22no—
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—22no—
1461C4⋊C4—24no—
1462C4⋊C4—28no—
1463C4⋊C4—22no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—28no—
1467C4⋊C4—24no—
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—44no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C4⋊C4—42no—
1477C4⋊C4—42no—
1478C4⋊C4—44no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C4⋊C4—44no—
1484C4⋊C4—42no—
1485C4⋊C4—44no—
1486C4⋊C4—42no—
1487C4⋊C4—42no—
1488C4⋊C4—44no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—42no—
1496C4⋊C4—42no—
1497C4⋊C4—42no—
1498C4⋊C4—42no—
1499C4⋊C4—42no—
1500C4⋊C4—42no—
1501C4⋊C4—44no—
1502C4⋊C4—44no—
1503C4⋊C4—44no—
1504C4⋊C4H(5,𝔽2)14yes—
1505C22⋊C4—22no—
1506C22⋊C4—24no—
1507C22⋊C4—22no—
1508C22⋊C4—22no—
1509C22⋊C4—24no—
1510C22⋊C4—28no—
1511C22⋊C4—28no—
1512C22⋊C4—24no—
1513C22⋊C4—28no—
1514C22⋊C4—28no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—28no—
1519C22⋊C4—28no—
1520C22⋊C4—28no—
1521C22⋊C4—28no—
1522C22⋊C4—24no—
1523C22⋊C4—22no—
1524C22⋊C4—24no—
1525C22⋊C4—22no—
1526C22⋊C4—24no—
1527C22⋊C4—42no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—44no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—41no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—42no—
1542C22⋊C4—42no—
1543C22⋊C4—44no—
1544C22⋊C4—42no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—42no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—42no—
1572C22⋊C4—44no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—44no—
1576C22⋊C4—42no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C42—22no—
1580C42—22no—
1581C42—22no—
1582C42—22no—
1583C42—22no—
1584C42—22no—
1585C42—24no—
1586C42—24no—
1587C42—24no—
1588C42—22no—
1589C42—24no—
1590C42—28no—
1591C42—24no—
1592C42—22no—
1593C42—22no—
1594C42—24no—
1595C42—22no—
1596C42—42no—
1597C42—42no—
1598C42—42no—
1599C42—42no—
1600C42—41no—
1601C42—41no—
1602C42—44no—
1603C42—44no—
1604C42H(5,𝔽2)14yes—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—22no—
1618C23—22no—
1619C23—24no—
1620C23—24no—
1621C23—24no—
1622C23—24no—
1623C23—24no—
1624C23—22no—
1625C23—22no—
1626C23—22no—
1627C23—24no—
1628C23—22no—
1629C23—22no—
1630C23—24no—
1631C23—24no—
1632C23—22no—
1633C23—22no—
1634C23—22no—
1635C23—24no—
1636C23—24no—
1637C23—22no—
1638C23—24no—
1639C23—22no—
1640C23—24no—
1641C23—22no—
1642C23—24no—
1643C23—24no—
1644C23—22no—
1645C23—88no—
1646C23—88no—
1647C23—88no—
1648C23—88no—
1649C23—88no—
1650C23—164no—
1651C23—164no—
1652C23C2×H(5,𝔽2)12yes—
1653C23C2×2−1+412yes—
1654C23C2611yescharacteristic
1655Q8—28no—
1656Q8—48no—
1657Q8—44no—
1658Q8—84no—
1659Q8—84no—
1660D4—48no—
1661D4—48no—
1662D4—44no—
1663D4—44no—
1664D4—48no—
1665D4—48no—
1666D4—44no—
1667D4—48no—
1668D4—48no—
1669D4—88no—
1670D4—88no—
1671D4—88no—
1672D4—84no—
1673D4—84no—
1674D4—88no—
1675D4—84no—
1676D4—84no—
1677D4—84no—
1678D4—88no—
1679D4—84no—
1680D4—88no—
1681D4—88no—
1682D4—164no—
1683D4—164no—
1684D4—164no—
1685D4—164no—
1686D4—164no—
1687D4—164no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—28no—
1701C2×C4—28no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—24no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—24no—
1726C2×C4—24no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—24no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—24no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—22no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—22no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—24no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—44no—
1766C2×C4—48no—
1767C2×C4—44no—
1768C2×C4—44no—
1769C2×C4—48no—
1770C2×C4—48no—
1771C2×C4—88no—
1772C2×C4—84no—
1773C2×C4—84no—
1774C2×C4—82no—
1775C2×C4—88no—
1776C2×C4—84no—
1777C2×C4—88no—
1778C2×C4—164no—
1779C2×C4—164no—
1780C2×C4C2×H(5,𝔽2)12yes—
1781C2×C4C2×H(5,𝔽2)14yes—
1782C2×C4C2×H(5,𝔽2)14yes—
1783C2×C4C2×H(5,𝔽2)12yes—
1784C2×C4C2×H(5,𝔽2)12yes—
1785C2×C4C2×H(5,𝔽2)12yes—
1786C2×C4C2×H(5,𝔽2)12yes—
1787C2×C4C2×H(5,𝔽2)12yes—
1788C2×C4C2×H(5,𝔽2)12yes—
1789C2×C4C2×2−1+412yes—
1790C2×C4C2×2−1+412yes—
1791C2×C4#58512yes—
1792C22—22no—
1793C22—22no—
1794C22—22no—
1795C22—22no—
1796C22—22no—
1797C22—22no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—42no—
1807C22—44no—
1808C22—44no—
1809C22—42no—
1810C22—42no—
1811C22—42no—
1812C22—44no—
1813C22—44no—
1814C22—44no—
1815C22—42no—
1816C22—44no—
1817C22—42no—
1818C22—42no—
1819C22—42no—
1820C22—44no—
1821C22—44no—
1822C22—42no—
1823C22—44no—
1824C22—44no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—44no—
1829C22—44no—
1830C22—42no—
1831C22—44no—
1832C22—44no—
1833C22—42no—
1834C22—1616no—
1835C22C22×H(5,𝔽2)11yescharacteristic
1836C22C22×H(5,𝔽2)11yescharacteristic
1837C22C22×H(5,𝔽2)11yescharacteristic
1838C22C22×H(5,𝔽2)11yescharacteristic
1839C22C22×2−1+411yescharacteristic
1840C22C2×#58511yescharacteristic
1841C22H(7,𝔽2)11yescharacteristic
1842C4—22no—
1843C4—24no—
1844C4—22no—
1845C4—24no—
1846C4—22no—
1847C4—22no—
1848C4—41no—
1849C4—42no—
1850C4—41no—
1851C4—42no—
1852C4—42no—
1853C4—44no—
1854C4—42no—
1855C4—42no—
1856C4—42no—
1857C4—41no—
1858C4—41no—
1859C4—42no—
1860C4—42no—
1861C4—41no—
1862C4—44no—
1863C4—42no—
1864C4—41no—
1865C4—42no—
1866C4—42no—
1867C4—41no—
1868C4—42no—
1869C4#353614yes—
1870C4#354314yes—
1871C2—42no—
1872C2—42no—
1873C2—82no—
1874C2—82no—
1875C2—84no—
1876C2—84no—
1877C2C2×#353611yescharacteristic
1878C2C2×#354311yescharacteristic
1879C2#6283511yescharacteristic
1880C2#6291611yescharacteristic
1881C2#6291711yescharacteristic
1882C2#6292411yescharacteristic
1883C2#6301411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59641C2semidirect
2. #59124C2semidirect
3. #59078C2semidirect
4. #58216C2semidirect
5. #56397C2semidirect
6. #54928C2semidirect
7. #53117C2semidirect
8. #52981C2semidirect
9. #49934C2semidirect
10. #45610C2semidirect
11. #45522C2semidirect
12. #45103C2semidirect
13. #44957C2semidirect
14. #42988C2semidirect
15. #42873C2semidirect
16. #42486C2semidirect
17. #42443C2semidirect
18. #40054C2semidirect
19. #39606C2semidirect
20. #39433C2semidirect
21. #39387C2semidirect
22. #39341C2semidirect
23. #39174C2semidirect
24. #39137C2semidirect
25. #37751C2semidirect
26. #37625C2semidirect
27. #37331C2semidirect
28. #37296C2semidirect
29. #36445C2semidirect
30. #36121C2semidirect
31. #36117C2semidirect
32. #35272C2semidirect
33. #35166C2semidirect
34. #34772C2semidirect
35. #34715C2semidirect
36. C2×#559C22semidirect
37. C2×#557C22semidirect
41. C2×#542C22semidirect
42. C2×#537C22semidirect
43. C2×#537C22semidirect
44. C2×#537C22semidirect
47. C2×#532C22semidirect
49. C2×#529C22semidirect
53. #2857C22semidirect
57. #2856C22semidirect
58. #2856C22semidirect
59. #2854C22semidirect
61. #2837C22semidirect
62. #2829C22semidirect
63. #2829C22semidirect
64. #2813C22semidirect
65. #2813C22semidirect
66. #2813C22semidirect
67. #2813C22semidirect
68. #2803C22semidirect
69. #2797C22semidirect
70. #2796C22semidirect
71. #2780C22semidirect
72. #2768C22semidirect
74. #2748C22semidirect
75. #2732C22semidirect
76. #2732C22semidirect
77. #2730C22semidirect
78. #2718C22semidirect
79. #2714C22semidirect
80. #2711C22semidirect
81. #2711C22semidirect
82. #2711C22semidirect
83. #2710C22semidirect
84. #2710C22semidirect
85. #2705C22semidirect
86. #2705C22semidirect
87. #2705C22semidirect
88. #2703C22semidirect
89. #2701C22semidirect
91. #2692C22semidirect
92. #2691C22semidirect
95. #2682C22semidirect
96. #2682C22semidirect
97. #2682C22semidirect
98. #2682C22semidirect
99. #2680C22semidirect
103. #2676C22semidirect
104. #2676C22semidirect
105. #2675C22semidirect
107. #2671C22semidirect
108. #2671C22semidirect
109. #2671C22semidirect
110. #2671C22semidirect
111. #2671C22semidirect
112. #2671C22semidirect
113. #2671C22semidirect
114. #2671C22semidirect
117. #2663C22semidirect
118. #2656C22semidirect
119. #2651C22semidirect
120. #2644C22semidirect
121. #2641C22semidirect
122. #2641C22semidirect
123. #2630C22semidirect
127. #2624C22semidirect
128. #2620C22semidirect
129. #2620C22semidirect
130. #2620C22semidirect
132. #2615C22semidirect
133. #2580C22semidirect
134. #2566C22semidirect
135. #2560C22semidirect
136. #2555C22semidirect
137. #2552C22semidirect
142. #2548C22semidirect
143. #2548C22semidirect
144. #2545C22semidirect
147. #2542C22semidirect
148. #2542C22semidirect
149. #2542C22semidirect
155. #2541C22semidirect
156. #2541C22semidirect
157. #2540C22semidirect
158. #2540C22semidirect
159. #2540C22semidirect
160. #2540C22semidirect
164. #2538C22semidirect
165. #2538C22semidirect
166. #2537C22semidirect
168. #2520C22semidirect
169. #2512C22semidirect
170. #2512C22semidirect
171. #2511C22semidirect
172. #2507C22semidirect
173. #2507C22semidirect
174. #2505C22semidirect
175. #2502C22semidirect
176. #2502C22semidirect
177. #2501C22semidirect
178. #2501C22semidirect
181. #2491C22semidirect
182. #2490C22semidirect
184. #2479C22semidirect
185. #2476C22semidirect
186. #2476C22semidirect
187. #2474C22semidirect
188. #2464C22semidirect
189. #2464C22semidirect
190. #2460C22semidirect
193. #2455C22semidirect
195. #2454C22semidirect
196. #2454C22semidirect
197. #2454C22semidirect
198. #2454C22semidirect
199. #2454C22semidirect
200. #2452C22semidirect
201. #2451C22semidirect
203. #2448C22semidirect
204. #2448C22semidirect
205. #2448C22semidirect
209. #2445C22semidirect
210. #2445C22semidirect
211. #2445C22semidirect
212. #2445C22semidirect
214. #2441C22semidirect
215. #2440C22semidirect
220. #2432C22semidirect
221. #2432C22semidirect
222. #2432C22semidirect
229. #2428C22semidirect
230. #2428C22semidirect
231. #2427C22semidirect
232. #2427C22semidirect
233. #2426C22semidirect
234. #2426C22semidirect
235. #2426C22semidirect
236. #2426C22semidirect
237. #2426C22semidirect
238. #2425C22semidirect
241. #2423C22semidirect
242. #2422C22semidirect
243. #2422C22semidirect
244. #2420C22semidirect
247. #2416C22semidirect
258. #2407C22semidirect
259. #2402C22semidirect
263. #2377C22semidirect
264. #2367C22semidirect
266. #2365C22semidirect
267. #2361C22semidirect
268. #2361C22semidirect
269. #2354C22semidirect
270. Q8×C4⋊C4C22semidirect
271. Q8×C4⋊C4C22semidirect
272. D4×C4⋊C4C22semidirect
274. #2341C22semidirect
278. #2326C22semidirect
280. #2324C22semidirect
282. C4×C4⋊Q8C22semidirect
284. C4×#124C22semidirect
286. C4×C22⋊Q8C22semidirect
287. C4×C22⋊Q8C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×C22⋊Q8C22semidirect
290. C4×#123C22semidirect
292. #2297C22semidirect
293. #2295C22semidirect
294. #2293C22semidirect
298. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#596412
#591242
#590782
#582162
#563972
#549282
#531172
#529812
#499342
#456102
#455222
#451032
#449572
#429882
#428732
#424862
#424432
#400542
#396062
#394332
#393872
#393412
#391742
#391372
#377512
#376252
#373312
#372962
#364452
#361212
#361172
#352722
#351662
#347722
#347152