Finite Group Databasebeta

← #8424664

Subgroups — #8424664

Order 512.

5845 conjugacy classes of subgroups.

The subgroup lattice has 1889 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59418C211yesmaximal, characteristic, complemented
2#59414C212yesmaximal, complemented
3#59412C211yesmaximal, characteristic, complemented
4#59412C211yesmaximal, characteristic, complemented
5#59046C212yesmaximal, complemented
6#53486C214yesmaximal, complemented
7#53485C214yesmaximal, complemented
8#53066C212yesmaximal, complemented
9#52986C212yesmaximal, complemented
10#52977C212yesmaximal, complemented
11#52976C212yesmaximal, complemented
12#52486C214yesmaximal, complemented
13#42966C212yesmaximal, complemented
14#42966C212yesmaximal, complemented
15#42838C212yesmaximal, complemented
16#42435C212yesmaximal, complemented
17#41237C214yesmaximal, complemented
18#40053C212yesmaximal, complemented
19#39953C212yesmaximal, complemented
20#39362C211yesmaximal, characteristic, complemented
21#39361C211yesmaximal, characteristic, complemented
22#39361C211yesmaximal, characteristic, complemented
23#39355C212yesmaximal, complemented
24#39174C211yesmaximal, characteristic, complemented
25#37751C212yesmaximal, complemented
26#37627C211yesmaximal, characteristic, complemented
27#37625C211yesmaximal, characteristic, complemented
28#37570C212yesmaximal, complemented
29#37493C212yesmaximal, complemented
30#36595C211yesmaximal, characteristic, complemented
31#36583C211yesmaximal, characteristic, complemented
32#36260C211yesmaximal, characteristic, complemented
33#34954C211yesmaximal, characteristic, complemented
34#34934C211yesmaximal, characteristic, complemented
35#34918C211yesmaximal, characteristic, complemented
36C2×#559C2212yescomplemented
37C2×#557C2211yescharacteristic, complemented
38C2×#550C2211yescharacteristic
39C2×#550C2211yescharacteristic
40C2×#547C2211yescharacteristic
41C2×#546C2212yescomplemented
42C2×#546C2212yescomplemented
43C2×#546C2212yescomplemented
44C2×#546C2212yescomplemented
45C2×D42C2211yescharacteristic, complemented
46C2×D42C2211yescharacteristic, complemented
47C2×#535C2212yes—
48C2×#535C2212yescomplemented
49C2×#535C2212yescomplemented
50C2×#529C2212yescomplemented
51#2867C2211yescharacteristic
52#2858C2211yescharacteristic, complemented
53#2858C2212yescomplemented
54#2858C2211yescharacteristic, complemented
55#2856C2212yes—
56#2837C2214yescomplemented
57#2837C2214yescomplemented
58#2829C2214yescomplemented
59#2829C2214yescomplemented
60#2829C2214yescomplemented
61#2828C2214yescomplemented
62#2828C2214yescomplemented
63#2828C2214yescomplemented
64#2827C2214yescomplemented
65#2826C2214yescomplemented
66#2813C2214yescomplemented
67#2813C2214yescomplemented
68#2812C2214yescomplemented
69#2812C2214yescomplemented
70#2797C2214yescomplemented
71#2780C2214yescomplemented
72#2714C2214yescomplemented
73#2711C2214yescomplemented
74#2711C2214yescomplemented
75#2710C2214yescomplemented
76#2708C2214yescomplemented
77#2708C2214yescomplemented
78#2707C2214yescomplemented
79#2706C2214yescomplemented
80#2706C2214yescomplemented
81#2705C2214yescomplemented
82#2697C2214yescomplemented
83#2691C2214yescomplemented
84#2688C2214yescomplemented
85#2685C2214yescomplemented
86#2682C2214yescomplemented
87#2682C2214yescomplemented
88#2679C2214yescomplemented
89#2679C2214yescomplemented
90#2679C2214yescomplemented
91#2679C2214yescomplemented
92#2678C2214yescomplemented
93#2678C2214yescomplemented
94#2678C2214yescomplemented
95#2678C2214yescomplemented
96#2678C2214yescomplemented
97#2678C2214yescomplemented
98#2678C2214yescomplemented
99#2678C2214yescomplemented
100#2671C2214yescomplemented
101#2670C2214yescomplemented
102#2670C2214yescomplemented
103#2669C2214yescomplemented
104#2669C2214yescomplemented
105#2669C2214yescomplemented
106#2669C2214yescomplemented
107#2661C2214yescomplemented
108#2661C2214yescomplemented
109#2661C2214yescomplemented
110#2651C2214yescomplemented
111#2649C2214yescomplemented
112#2648C2214yescomplemented
113#2648C2214yescomplemented
114#2644C2212yescomplemented
115#2641C2212yescomplemented
116#2641C2212yescomplemented
117#2630C2214yescomplemented
118#2629C2212yescomplemented
119#2625C2212yescomplemented
120#2624C2212yescomplemented
121#2624C2212yescomplemented
122#2622C2214yescomplemented
123#2620C2212yescomplemented
124#2620C2212yescomplemented
125#2620C2212yescomplemented
126#2619C2212yescomplemented
127#2619C2212yescomplemented
128#2617C2214yescomplemented
129#2617C2214yescomplemented
130#2597C2212yescomplemented
131#2595C2212yescomplemented
132#2593C2212yescomplemented
133#2593C2212yescomplemented
134#2592C2211yescharacteristic, complemented
135#2582C2211yescharacteristic, complemented
136#2580C2211yescharacteristic, complemented
137#2571C2211yescharacteristic, complemented
138#2570C2211yescharacteristic, complemented
139#2566C2212yescomplemented
140#2558C2214yescomplemented
141#2557C2214yescomplemented
142#2554C2214yescomplemented
143#2552C2211yescharacteristic, complemented
144#2548C2211yescharacteristic
145#2548C2211yescharacteristic
146#2548C2211yescharacteristic, complemented
147#2548C2212yescomplemented
148#2548C2212yescomplemented
149#2548C2212yescomplemented
150#2548C2211yescharacteristic, complemented
151#2548C2212yescomplemented
152#2548C2212yescomplemented
153#2547C2212yescomplemented
154#2547C2211yescharacteristic, complemented
155#2544C2211yescharacteristic
156#2544C2212yescomplemented
157#2544C2212yescomplemented
158#2542C2211yescharacteristic, complemented
159#2541C2211yescharacteristic
160#2541C2211yescharacteristic
161#2540C2212yescomplemented
162#2540C2212yescomplemented
163#2539C2214yescomplemented
164#2539C2214yescomplemented
165#2539C2214yescomplemented
166#2539C2214yescomplemented
167#2538C2211yescharacteristic, complemented
168#2538C2211yescharacteristic, complemented
169#2537C2211yescharacteristic
170#2535C2212yescomplemented
171#2535C2212yescomplemented
172#2516C2212yescomplemented
173#2513C2211yescharacteristic, complemented
174#2513C2211yescharacteristic, complemented
175#2513C2211yescharacteristic, complemented
176#2513C2212yescomplemented
177#2512C2212yescomplemented
178#2511C2211yescharacteristic, complemented
179#2501C2212yescomplemented
180#2497C2212yescomplemented
181#2490C2214yescomplemented
182#2490C2212yescomplemented
183#2490C2212yescomplemented
184#2490C2212yescomplemented
185#2490C2212yescomplemented
186#2490C2214yescomplemented
187#2490C2212yescomplemented
188#2476C2214yescomplemented
189#2471C2214yescomplemented
190#2464C2214yescomplemented
191#2458C2212yescomplemented
192#2456C2214yescomplemented
193#2454C2212yescomplemented
194#2448C2211yescharacteristic, complemented
195#2448C2211yescharacteristic, complemented
196#2448C2212yescomplemented
197#2447C2211yescharacteristic, complemented
198#2445C2211yescharacteristic
199#2445C2212yescomplemented
200#2445C2212yescomplemented
201#2445C2212yescomplemented
202#2445C2212yescomplemented
203#2445C2212yescomplemented
204#2445C2212yescomplemented
205#2442C2212yescomplemented
206#2435C2212yescomplemented
207#2433C2212yes—
208#2433C2212yes—
209#2433C2212yes—
210#2433C2212yescomplemented
211#2433C2212yescomplemented
212#2433C2212yescomplemented
213#2433C2212yescomplemented
214#2433C2212yescomplemented
215#2433C2212yescomplemented
216#2432C2212yescomplemented
217#2432C2212yescomplemented
218#2432C2212yescomplemented
219#2431C2212yes—
220#2431C2212yescomplemented
221#2431C2212yescomplemented
222#2429C2212yescomplemented
223#2428C2212yes—
224#2428C2212yes—
225#2428C2212yescomplemented
226#2428C2212yescomplemented
227#2428C2212yescomplemented
228#2428C2212yescomplemented
229#2427C2212yescomplemented
230#2426C2212yescomplemented
231#2426C2212yescomplemented
232#2426C2212yescomplemented
233#2426C2212yescomplemented
234#2426C2212yescomplemented
235#2424C2214yescomplemented
236#2424C2214yescomplemented
237#2424C2214yescomplemented
238#2424C2214yescomplemented
239#2424C2214yescomplemented
240#2424C2214yescomplemented
241#2423C2212yescomplemented
242#2422C2212yescomplemented
243#2422C2212yescomplemented
244#2422C2212yescomplemented
245#2421C2212yescomplemented
246#2418C2214yescomplemented
247#2416C2212yescomplemented
248#2416C2212yescomplemented
249#2414C2214yescomplemented
250#2412C2214yescomplemented
251#2411C2214yescomplemented
252#2408C2212yescomplemented
253#2408C2212yescomplemented
254#2408C2212yescomplemented
255#2408C2212yescomplemented
256#2407C2212yescomplemented
257#2407C2212yescomplemented
258#2398C2212yescomplemented
259#2395C2212yescomplemented
260#2395C2212yescomplemented
261#2395C2212yescomplemented
262#2392C2214yescomplemented
263#2366C2212yescomplemented
264#2366C2212yescomplemented
265#2360C2212yescomplemented
266#2358C2214yescomplemented
267#2341C2212yescomplemented
268#2341C2212yescomplemented
269#2341C2212yescomplemented
270D4×C22⋊C4C2212yescomplemented
271D4×C22⋊C4C2212yescomplemented
272#2326C2212yescomplemented
273#2321C2214yescomplemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×#127C2211yescharacteristic
276C4×#127C2211yescharacteristic
277C4×#127C2211yescharacteristic, complemented
278C4×#127C2211yescharacteristic, complemented
279C4×#127C2212yescomplemented
280C4×#124C2211yescharacteristic, complemented
281C4×#124C2212yescomplemented
282C4×#124C2211yescharacteristic, complemented
283C4×#124C2212yescomplemented
284C4×#124C2211yescharacteristic, complemented
285C4×#124C2211yescharacteristic, complemented
286C4×#123C2212yescomplemented
287C4×#121C2212yescomplemented
288#2295C2211yescharacteristic, complemented
289#2293C2212yescomplemented
290#2293C2211yescharacteristic, complemented
291#2293C2212yescomplemented
292#2293C2211yescharacteristic, complemented
293#2293C2211yescharacteristic, complemented
294C2×#390C2212yescomplemented
295#2290C2212yescomplemented
296C42×Q8C2211yescharacteristic, complemented
297C42×Q8C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306#559—48no—
307#557—44no—
308#550—44no—
309#550—44no—
310#547—44no—
311#546—48no—
312#546—48no—
313#546—48no—
314#546—48no—
315D42—44no—
316D42—44no—
317#535—48no—
318#535—48no—
319#535—48no—
320C2×C4⋊Q8C2311yescharacteristic
321C2×C4⋊Q8C2312yes—
322C2×#127C2311yescharacteristic
323C2×#127C2311yescharacteristic
324C2×#127C2311yescharacteristic
325C2×#127C2312yes—
326C2×#127C2311yescharacteristic
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2312yes—
332C2×#127C2312yes—
333C2×#127C2312yes—
334C2×#127C2312yes—
335C2×#127C2312yes—
336#529—48no—
337C2×#126C2314yes—
338C2×#125C2312yes—
339C2×#125C2312yes—
340C2×#125C2314yes—
341C2×#124C2312yes—
342C2×#124C2311yescharacteristic
343C2×#124C2312yes—
344C2×#124C2311yescharacteristic
345C2×#124C2311yescharacteristic
346C2×#124C2311yescharacteristic
347C2×#124C2312yes—
348C2×#124C2312yes—
349C2×#124C2312yes—
350C2×#124C2312yes—
351C2×#124C2312yes—
352C2×#124C2312yes—
353C2×#124C2314yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2312yes—
361C2×#123C2314yes—
362C2×#123C2314yes—
363C2×#123C2314yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2314yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#120C2314yes—
395C2×#120C2314yes—
396C2×#120C2314yes—
397C2×#120C2314yes—
398C2×#120C2314yes—
399C2×#120C2314yes—
400C2×#120C2314yes—
401C2×#120C2314yes—
402C2×#120C2314yes—
403C2×#120C2314yes—
404C2×#120C2314yes—
405C2×#120C2314yes—
406C2×#120C2314yes—
407C2×#120C2314yes—
408C2×#120C2314yes—
409C2×#120C2314yes—
410C2×#120C2314yes—
411C2×#120C2314yes—
412C2×C4×Q8C2311yescharacteristic
413C2×C4×Q8C2311yescharacteristic
414C2×C4×Q8C2311yescharacteristic
415C2×C4×Q8C2311yescharacteristic
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2312yes—
418C2×C4×Q8C2311yescharacteristic
419C2×C4×Q8C2311yescharacteristic
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2311yescharacteristic
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2312yes—
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2312yes—
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2314yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2314yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2314yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C2×#117C2314yes—
447C22×C4⋊C4C2312yes—
448C22×C22⋊C4C2314yes—
449C22×C22⋊C4C2314yes—
450C22×C22⋊C4C2314yes—
451C22×C22⋊C4C2314yes—
452C22×C42C2312yes—
453#400C2312yes—
454#400C2312yes—
455#400C2314yes—
456#400C2312yes—
457#400C2312yes—
458#400C2312yes—
459#400C2314yes—
460#399C2314yes—
461#399C2314yes—
462#399C2314yes—
463#399C2312yes—
464#399C2314yes—
465#399C2314yes—
466#399C2312yes—
467#399C2312yes—
468#398C2312yes—
469#398C2314yes—
470#398C2314yes—
471#398C2312yes—
472#398C2314yes—
473#398C2314yes—
474#398C2312yes—
475#397C2312yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2312yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2312yes—
484#397C2312yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2312yes—
490#397C2312yes—
491#397C2312yes—
492#397C2314yes—
493#397C2314yes—
494#397C2312yes—
495#397C2312yes—
496#397C2312yes—
497#397C2312yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2312yes—
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#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2312yes—
546#394C2312yes—
547#394C2312yes—
548#394C2312yes—
549#394C2312yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2312yes—
558#394C2312yes—
559#394C2314yes—
560#394C2314yes—
561#393C2312yes—
562#393C2312yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#391C2312yes—
588#391C2311yescharacteristic
589#391C2311yescharacteristic
590#391C2312yes—
591#391C2311yescharacteristic
592#391C2311yescharacteristic
593#391C2311yescharacteristic
594#391C2312yes—
595#391C2311yescharacteristic
596#390C2311yescharacteristic
597#390C2311yescharacteristic
598#390C2312yes—
599#390C2311yescharacteristic
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2311yescharacteristic
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2314yes—
610#390C2312yes—
611#390C2312yes—
612#390C2314yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2314yes—
618#390C2314yes—
619#390C2314yes—
620#390C2314yes—
621#390C2314yes—
622#390C2311yescharacteristic
623#390C2312yes—
624#390C2311yescharacteristic
625#390C2312yes—
626#390C2312yes—
627#390C2314yes—
628#390C2314yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2314yes—
633#390C2314yes—
634#390C2314yes—
635#390C2314yes—
636#390C2312yes—
637#390C2312yes—
638#390C2314yes—
639#390C2312yes—
640#390C2312yes—
641#390C2314yes—
642#390C2312yes—
643#390C2312yes—
644#390C2312yes—
645#390C2311yescharacteristic
646#390C2314yes—
647#390C2311yescharacteristic
648#390C2312yes—
649#390C2311yescharacteristic
650#390C2311yescharacteristic
651#390C2314yes—
652#390C2314yes—
653#390C2312yes—
654#390C2314yes—
655#390C2311yescharacteristic
656#390C2311yescharacteristic
657#390C2312yes—
658#390C2312yes—
659#390C2311yescharacteristic
660#390C2311yescharacteristic
661#389C2312yes—
662#389C2312yes—
663#389C2311yescharacteristic
664#389C2311yescharacteristic
665#389C2312yes—
666#389C2311yescharacteristic
667#389C2311yescharacteristic
668#389C2311yescharacteristic
669#389C2311yescharacteristic
670#389C2311yescharacteristic
671#389C2312yes—
672#389C2311yescharacteristic
673#389C2312yes—
674#389C2314yes—
675#389C2312yes—
676#389C2312yes—
677#389C2312yes—
678#388C2312yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2312yes—
685#388C2314yes—
686#388C2312yes—
687#388C2312yes—
688#388C2314yes—
689#388C2312yes—
690#388C2312yes—
691#388C2314yes—
692#388C2312yes—
693#388C2312yes—
694#388C2312yes—
695#388C2312yes—
696#388C2312yes—
697#388C2312yes—
698#388C2312yes—
699#388C2312yes—
700#388C2312yes—
701#388C2312yes—
702#388C2312yes—
703#388C2312yes—
704#388C2312yes—
705#388C2312yes—
706#388C2312yes—
707#388C2312yes—
708#388C2312yes—
709#388C2312yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2312yes—
714#388C2312yes—
715#387C2312yes—
716#387C2312yes—
717#387C2312yes—
718#387C2312yes—
719#387C2314yes—
720#387C2312yes—
721#387C2314yes—
722#387C2312yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2312yes—
733#386C2312yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2312yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2312yes—
749#385C2312yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2312yes—
754#385C2314yes—
755#385C2314yes—
756#384C2311yescharacteristic
757#384C2311yescharacteristic
758#384C2311yescharacteristic
759#384C2312yes—
760#384C2312yes—
761#382C2311yescharacteristic
762#382C2311yescharacteristic
763#382C2311yescharacteristic
764#382C2311yescharacteristic
765#382C2312yes—
766#381C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2314yes—
770#380C2314yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2314yes—
775#380C2314yes—
776#380C2312yes—
777#379C2314yes—
778#379C2314yes—
779#379C2314yes—
780#379C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2314yes—
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—
821C43C2311yescharacteristic
822C43C2311yescharacteristic
823C43C2312yes—
824C43C2311yescharacteristic
825C25C2414yes—
826C25C2414yes—
827C2×#41—28no—
828C2×#41—28no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C22×Q8C2412yes—
837C22×Q8C2411yescharacteristic
838C22×Q8C2411yescharacteristic
839C22×Q8C2411yescharacteristic
840C22×D4—28no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—44no—
851C22×D4—44no—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2411yescharacteristic
855C22×D4C2412yes—
856C22×D4C2411yescharacteristic
857C22×D4C2411yescharacteristic
858C22×D4C2412yes—
859C22×D4C2411yescharacteristic
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2412yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C22×D4C2414yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C22×D4C2414yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2414yes—
889C23×C4C2412yes—
890C23×C4C2412yes—
891C23×C4C2414yes—
892C23×C4C2414yes—
893C23×C4C2414yes—
894C23×C4C2414yes—
895C4⋊Q8—24no—
896C4⋊Q8—44no—
897#127—24no—
898#127—28no—
899#127—24no—
900#127—24no—
901#127—42no—
902#127—44no—
903#127—44no—
904#127—44no—
905#127—44no—
906#127—44no—
907#127—44no—
908#127—44no—
909#127—44no—
910#127—82no—
911#126—48no—
912#125—44no—
913#125—44no—
914#125—48no—
915#124—28no—
916#124—24no—
917#124—24no—
918#124—24no—
919#124—24no—
920#124—28no—
921#124—44no—
922#124—44no—
923#124—44no—
924#124—44no—
925#124—44no—
926#124—44no—
927#124—48no—
928#123—44no—
929#123—48no—
930#123—48no—
931#123—48no—
932#123—48no—
933#123—48no—
934#123—48no—
935#123—48no—
936#123—48no—
937#123—84no—
938C22⋊Q8—28no—
939C22⋊Q8—44no—
940C22⋊Q8—44no—
941C22⋊Q8—44no—
942C22⋊Q8—44no—
943#121—48no—
944#121—48no—
945#121—48no—
946#121—48no—
947#121—48no—
948#121—48no—
949#121—48no—
950#121—48no—
951#121—48no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—44no—
959#121—44no—
960#121—44no—
961#121—44no—
962#121—44no—
963#121—44no—
964#121—44no—
965#121—48no—
966#121—48no—
967#121—48no—
968#120—48no—
969#120—48no—
970#120—48no—
971#120—48no—
972#120—48no—
973#120—48no—
974#120—48no—
975#120—48no—
976#120—48no—
977#120—48no—
978#120—48no—
979#120—48no—
980#120—48no—
981#120—48no—
982#120—84no—
983#120—84no—
984#120—84no—
985#120—84no—
986C4×Q8—24no—
987C4×Q8—24no—
988C4×Q8—24no—
989C4×Q8—24no—
990C4×Q8—42no—
991C4×Q8—42no—
992C4×Q8—42no—
993C4×Q8—44no—
994C4×Q8—44no—
995C4×Q8—44no—
996C4×D4—24no—
997C4×D4—24no—
998C4×D4—24no—
999C4×D4—24no—
1000C4×D4—24no—
1001C4×D4—28no—
1002C4×D4—24no—
1003C4×D4—28no—
1004C4×D4—48no—
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—48no—
1014C4×D4—82no—
1015C4×D4—82no—
1016C4×D4—84no—
1017#117—44no—
1018#117—44no—
1019#117—44no—
1020#117—48no—
1021C2×C4⋊C4—44no—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2414yes—
1074C2×C22⋊C4—48no—
1075C2×C22⋊C4—48no—
1076C2×C22⋊C4—48no—
1077C2×C22⋊C4—48no—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C42—44no—
1162C2×C42C2412yes—
1163C2×C42C2412yes—
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2412yes—
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2412yes—
1174C2×C42C2412yes—
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2412yes—
1180C2×C42C2411yescharacteristic
1181C2×C42C2412yes—
1182C2×C42C2411yescharacteristic
1183C2×C42C2414yes—
1184C2×C42C2414yes—
1185C2×C42C2411yescharacteristic
1186C2×C42C2412yes—
1187C2×C42C2411yescharacteristic
1188C2×C42C2412yes—
1189C2×C42C2412yes—
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2414yes—
1226#95C2412yes—
1227#95C2411yescharacteristic
1228#95C2411yescharacteristic
1229#95C2411yescharacteristic
1230#95C2411yescharacteristic
1231#95C2411yescharacteristic
1232#95C2412yes—
1233#95C2412yes—
1234#95C2411yescharacteristic
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241C24—28no—
1242C24—44no—
1243C24—44no—
1244C24—44no—
1245C24—44no—
1246C24—44no—
1247C24—44no—
1248C24—44no—
1249C24—44no—
1250C24—44no—
1251C24—44no—
1252C24—44no—
1253C24—44no—
1254C24—44no—
1255C24C2512yes—
1256C24C2512yes—
1257C24C2512yes—
1258C24C2514yes—
1259C24C2514yes—
1260C24C2512yes—
1261#41—816no—
1262#41—816no—
1263#41—816no—
1264C2×Q8—22no—
1265C2×Q8—22no—
1266C2×Q8—22no—
1267C2×Q8—24no—
1268C2×Q8—24no—
1269C2×Q8—22no—
1270C2×Q8—24no—
1271C2×Q8—22no—
1272C2×Q8—22no—
1273C2×Q8—22no—
1274C2×Q8—41no—
1275C2×Q8H(5,𝔽2)14yes—
1276C2×D4—28no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—28no—
1280C2×D4—28no—
1281C2×D4—28no—
1282C2×D4—22no—
1283C2×D4—22no—
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—22no—
1294C2×D4—22no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—28no—
1303C2×D4—24no—
1304C2×D4—24no—
1305C2×D4—24no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—24no—
1309C2×D4—28no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—42no—
1315C2×D4—44no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—44no—
1343C2×D4—42no—
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—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—816no—
1372C2×D4—816no—
1373C2×D4—816no—
1374C2×D4—816no—
1375C2×D4H(5,𝔽2)14yes—
1376C22×C4—24no—
1377C22×C4—28no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—24no—
1391C22×C4—28no—
1392C22×C4—28no—
1393C22×C4—42no—
1394C22×C4—42no—
1395C22×C4—44no—
1396C22×C4—44no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—42no—
1403C22×C4—44no—
1404C22×C4—42no—
1405C22×C4—44no—
1406C22×C4—44no—
1407C22×C4—44no—
1408C22×C4—44no—
1409C22×C4C2511yescharacteristic
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2512yes—
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C22×C4C2512yes—
1417C22×C4C2512yes—
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2512yes—
1421C22×C4C2512yes—
1422C22×C4C2512yes—
1423C22×C4C2512yes—
1424C22×C4C2512yes—
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2512yes—
1428C22×C4C2512yes—
1429C22×C4C2514yes—
1430C22×C4C2514yes—
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C22×C4C2512yes—
1435C22×C4C2511yescharacteristic
1436C22×C4C2511yescharacteristic
1437C22×C4C2511yescharacteristic
1438C4⋊C4—22no—
1439C4⋊C4—24no—
1440C4⋊C4—28no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—24no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—24no—
1448C4⋊C4—22no—
1449C4⋊C4—24no—
1450C4⋊C4—22no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—44no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—44no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—42no—
1472C4⋊C4—44no—
1473C4⋊C4—42no—
1474C4⋊C4—44no—
1475C4⋊C4—41no—
1476C4⋊C4—41no—
1477C4⋊C4—41no—
1478C4⋊C4—42no—
1479C4⋊C4—41no—
1480C4⋊C4—41no—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C4⋊C4—44no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—44no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—44no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—28no—
1498C22⋊C4—28no—
1499C22⋊C4—28no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—28no—
1506C22⋊C4—28no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—24no—
1511C22⋊C4—28no—
1512C22⋊C4—24no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—44no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—42no—
1569C22⋊C4—44no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4—42no—
1573C42—22no—
1574C42—24no—
1575C42—24no—
1576C42—22no—
1577C42—22no—
1578C42—24no—
1579C42—22no—
1580C42—22no—
1581C42—22no—
1582C42—22no—
1583C42—24no—
1584C42—24no—
1585C42—22no—
1586C42—22no—
1587C42—22no—
1588C42—22no—
1589C42—22no—
1590C42—42no—
1591C42—42no—
1592C42—44no—
1593C42—41no—
1594C42—41no—
1595C42—42no—
1596C42—42no—
1597C42—41no—
1598C42—41no—
1599C42—44no—
1600C42—42no—
1601C42—41no—
1602C42H(5,𝔽2)14yes—
1603C42H(5,𝔽2)14yes—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—22no—
1610C23—24no—
1611C23—24no—
1612C23—22no—
1613C23—22no—
1614C23—22no—
1615C23—24no—
1616C23—22no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—22no—
1621C23—22no—
1622C23—24no—
1623C23—22no—
1624C23—22no—
1625C23—22no—
1626C23—24no—
1627C23—24no—
1628C23—24no—
1629C23—24no—
1630C23—22no—
1631C23—22no—
1632C23—22no—
1633C23—22no—
1634C23—24no—
1635C23—24no—
1636C23—24no—
1637C23—24no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—24no—
1642C23—24no—
1643C23—22no—
1644C23—22no—
1645C23—88no—
1646C23—88no—
1647C23—88no—
1648C23—88no—
1649C23—88no—
1650C23—88no—
1651C23—88no—
1652C23—88no—
1653C23—164no—
1654C23—164no—
1655C23—164no—
1656C23—164no—
1657C23—164no—
1658C23—164no—
1659C23C2×H(5,𝔽2)14yes—
1660C23C2611yescharacteristic
1661Q8—28no—
1662Q8—44no—
1663Q8—48no—
1664Q8—44no—
1665D4—28no—
1666D4—48no—
1667D4—44no—
1668D4—48no—
1669D4—48no—
1670D4—44no—
1671D4—44no—
1672D4—48no—
1673D4—84no—
1674D4—88no—
1675D4—84no—
1676D4—84no—
1677D4—88no—
1678D4—88no—
1679D4—84no—
1680D4—88no—
1681D4—84no—
1682D4—88no—
1683D4—88no—
1684D4—84no—
1685D4—88no—
1686D4—88no—
1687D4—88no—
1688D4—88no—
1689D4—164no—
1690D4—164no—
1691D4—164no—
1692D4—164no—
1693D4—164no—
1694D4—164no—
1695D4—164no—
1696D4—164no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—22no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—24no—
1731C2×C4—24no—
1732C2×C4—24no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—24no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—24no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—24no—
1772C2×C4—22no—
1773C2×C4—48no—
1774C2×C4—48no—
1775C2×C4—48no—
1776C2×C4—48no—
1777C2×C4—88no—
1778C2×C4—84no—
1779C2×C4—88no—
1780C2×C4—84no—
1781C2×C4—88no—
1782C2×C4—88no—
1783C2×C4—164no—
1784C2×C4C2×H(5,𝔽2)14yes—
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×H(5,𝔽2)12yes—
1790C2×C4C2×H(5,𝔽2)12yes—
1791C2×C4C2×H(5,𝔽2)12yes—
1792C2×C4C2×H(5,𝔽2)12yes—
1793C2×C4#58512yes—
1794C2×C4#58512yes—
1795C22—24no—
1796C22—24no—
1797C22—24no—
1798C22—42no—
1799C22—42no—
1800C22—42no—
1801C22—42no—
1802C22—42no—
1803C22—44no—
1804C22—42no—
1805C22—42no—
1806C22—44no—
1807C22—42no—
1808C22—42no—
1809C22—44no—
1810C22—42no—
1811C22—44no—
1812C22—44no—
1813C22—44no—
1814C22—42no—
1815C22—42no—
1816C22—42no—
1817C22—44no—
1818C22—42no—
1819C22—44no—
1820C22—42no—
1821C22—42no—
1822C22—44no—
1823C22—44no—
1824C22—42no—
1825C22—42no—
1826C22—42no—
1827C22—44no—
1828C22—42no—
1829C22—42no—
1830C22—42no—
1831C22—44no—
1832C22—44no—
1833C22—44no—
1834C22—42no—
1835C22—42no—
1836C22—42no—
1837C22—1616no—
1838C22—1616no—
1839C22C22×H(5,𝔽2)11yescharacteristic
1840C22C22×H(5,𝔽2)11yescharacteristic
1841C22C22×H(5,𝔽2)11yescharacteristic
1842C22C22×H(5,𝔽2)11yescharacteristic
1843C22C2×#58511yescharacteristic
1844C22C2×#58511yescharacteristic
1845C22H(7,𝔽2)11yescharacteristic
1846C4—24no—
1847C4—22no—
1848C4—22no—
1849C4—22no—
1850C4—22no—
1851C4—42no—
1852C4—42no—
1853C4—42no—
1854C4—42no—
1855C4—42no—
1856C4—44no—
1857C4—41no—
1858C4—41no—
1859C4—42no—
1860C4—41no—
1861C4—42no—
1862C4—41no—
1863C4—44no—
1864C4—42no—
1865C4—41no—
1866C4—41no—
1867C4—41no—
1868C4—41no—
1869C4—42no—
1870C4—41no—
1871C4—42no—
1872C4—42no—
1873C4#354314yes—
1874C4#355814yes—
1875C2—44no—
1876C2—84no—
1877C2—84no—
1878C2—82no—
1879C2—82no—
1880C2—82no—
1881C2C2×#355811yescharacteristic
1882C2C2×#354311yescharacteristic
1883C2#6274811yescharacteristic
1884C2#6291611yescharacteristic
1885C2#6292011yescharacteristic
1886C2#6296111yescharacteristic
1887C2#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. #59418C2semidirect
2. #59414C2semidirect
3. #59412C2semidirect
4. #59412C2semidirect
5. #59046C2semidirect
6. #53486C2semidirect
7. #53485C2semidirect
8. #53066C2semidirect
9. #52986C2semidirect
10. #52977C2semidirect
11. #52976C2semidirect
12. #52486C2semidirect
13. #42966C2semidirect
14. #42966C2semidirect
15. #42838C2semidirect
16. #42435C2semidirect
17. #41237C2semidirect
18. #40053C2semidirect
19. #39953C2semidirect
20. #39362C2semidirect
21. #39361C2semidirect
22. #39361C2semidirect
23. #39355C2semidirect
24. #39174C2semidirect
25. #37751C2semidirect
26. #37627C2semidirect
27. #37625C2semidirect
28. #37570C2semidirect
29. #37493C2semidirect
30. #36595C2semidirect
31. #36583C2semidirect
32. #36260C2semidirect
33. #34954C2semidirect
34. #34934C2semidirect
35. #34918C2semidirect
36. C2×#559C22semidirect
37. C2×#557C22semidirect
41. C2×#546C22semidirect
42. C2×#546C22semidirect
43. C2×#546C22semidirect
44. C2×#546C22semidirect
45. C2×D42C22semidirect
46. C2×D42C22semidirect
48. C2×#535C22semidirect
49. C2×#535C22semidirect
50. C2×#529C22semidirect
52. #2858C22semidirect
53. #2858C22semidirect
54. #2858C22semidirect
56. #2837C22semidirect
57. #2837C22semidirect
58. #2829C22semidirect
59. #2829C22semidirect
60. #2829C22semidirect
61. #2828C22semidirect
62. #2828C22semidirect
63. #2828C22semidirect
64. #2827C22semidirect
65. #2826C22semidirect
66. #2813C22semidirect
67. #2813C22semidirect
68. #2812C22semidirect
69. #2812C22semidirect
70. #2797C22semidirect
71. #2780C22semidirect
72. #2714C22semidirect
73. #2711C22semidirect
74. #2711C22semidirect
75. #2710C22semidirect
76. #2708C22semidirect
77. #2708C22semidirect
78. #2707C22semidirect
79. #2706C22semidirect
80. #2706C22semidirect
81. #2705C22semidirect
82. #2697C22semidirect
83. #2691C22semidirect
84. #2688C22semidirect
85. #2685C22semidirect
86. #2682C22semidirect
87. #2682C22semidirect
88. #2679C22semidirect
89. #2679C22semidirect
90. #2679C22semidirect
91. #2679C22semidirect
92. #2678C22semidirect
93. #2678C22semidirect
94. #2678C22semidirect
95. #2678C22semidirect
96. #2678C22semidirect
97. #2678C22semidirect
98. #2678C22semidirect
99. #2678C22semidirect
100. #2671C22semidirect
101. #2670C22semidirect
102. #2670C22semidirect
103. #2669C22semidirect
104. #2669C22semidirect
105. #2669C22semidirect
106. #2669C22semidirect
107. #2661C22semidirect
108. #2661C22semidirect
109. #2661C22semidirect
110. #2651C22semidirect
111. #2649C22semidirect
112. #2648C22semidirect
113. #2648C22semidirect
114. #2644C22semidirect
115. #2641C22semidirect
116. #2641C22semidirect
117. #2630C22semidirect
118. #2629C22semidirect
119. #2625C22semidirect
120. #2624C22semidirect
121. #2624C22semidirect
122. #2622C22semidirect
123. #2620C22semidirect
124. #2620C22semidirect
125. #2620C22semidirect
126. #2619C22semidirect
127. #2619C22semidirect
128. #2617C22semidirect
129. #2617C22semidirect
130. #2597C22semidirect
131. #2595C22semidirect
132. #2593C22semidirect
133. #2593C22semidirect
134. #2592C22semidirect
135. #2582C22semidirect
136. #2580C22semidirect
137. #2571C22semidirect
138. #2570C22semidirect
139. #2566C22semidirect
140. #2558C22semidirect
141. #2557C22semidirect
142. #2554C22semidirect
143. #2552C22semidirect
146. #2548C22semidirect
147. #2548C22semidirect
148. #2548C22semidirect
149. #2548C22semidirect
150. #2548C22semidirect
151. #2548C22semidirect
152. #2548C22semidirect
153. #2547C22semidirect
154. #2547C22semidirect
156. #2544C22semidirect
157. #2544C22semidirect
158. #2542C22semidirect
161. #2540C22semidirect
162. #2540C22semidirect
163. #2539C22semidirect
164. #2539C22semidirect
165. #2539C22semidirect
166. #2539C22semidirect
167. #2538C22semidirect
168. #2538C22semidirect
170. #2535C22semidirect
171. #2535C22semidirect
172. #2516C22semidirect
173. #2513C22semidirect
174. #2513C22semidirect
175. #2513C22semidirect
176. #2513C22semidirect
177. #2512C22semidirect
178. #2511C22semidirect
179. #2501C22semidirect
180. #2497C22semidirect
181. #2490C22semidirect
182. #2490C22semidirect
183. #2490C22semidirect
184. #2490C22semidirect
185. #2490C22semidirect
186. #2490C22semidirect
187. #2490C22semidirect
188. #2476C22semidirect
189. #2471C22semidirect
190. #2464C22semidirect
191. #2458C22semidirect
192. #2456C22semidirect
193. #2454C22semidirect
194. #2448C22semidirect
195. #2448C22semidirect
196. #2448C22semidirect
197. #2447C22semidirect
199. #2445C22semidirect
200. #2445C22semidirect
201. #2445C22semidirect
202. #2445C22semidirect
203. #2445C22semidirect
204. #2445C22semidirect
205. #2442C22semidirect
206. #2435C22semidirect
210. #2433C22semidirect
211. #2433C22semidirect
212. #2433C22semidirect
213. #2433C22semidirect
214. #2433C22semidirect
215. #2433C22semidirect
216. #2432C22semidirect
217. #2432C22semidirect
218. #2432C22semidirect
220. #2431C22semidirect
221. #2431C22semidirect
222. #2429C22semidirect
225. #2428C22semidirect
226. #2428C22semidirect
227. #2428C22semidirect
228. #2428C22semidirect
229. #2427C22semidirect
230. #2426C22semidirect
231. #2426C22semidirect
232. #2426C22semidirect
233. #2426C22semidirect
234. #2426C22semidirect
235. #2424C22semidirect
236. #2424C22semidirect
237. #2424C22semidirect
238. #2424C22semidirect
239. #2424C22semidirect
240. #2424C22semidirect
241. #2423C22semidirect
242. #2422C22semidirect
243. #2422C22semidirect
244. #2422C22semidirect
245. #2421C22semidirect
246. #2418C22semidirect
247. #2416C22semidirect
248. #2416C22semidirect
249. #2414C22semidirect
250. #2412C22semidirect
251. #2411C22semidirect
252. #2408C22semidirect
253. #2408C22semidirect
254. #2408C22semidirect
255. #2408C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
258. #2398C22semidirect
259. #2395C22semidirect
260. #2395C22semidirect
261. #2395C22semidirect
262. #2392C22semidirect
263. #2366C22semidirect
264. #2366C22semidirect
265. #2360C22semidirect
266. #2358C22semidirect
267. #2341C22semidirect
268. #2341C22semidirect
269. #2341C22semidirect
270. D4×C22⋊C4C22semidirect
271. D4×C22⋊C4C22semidirect
272. #2326C22semidirect
273. #2321C22semidirect
274. C4×C4⋊Q8C22semidirect
277. C4×#127C22semidirect
278. C4×#127C22semidirect
279. C4×#127C22semidirect
280. C4×#124C22semidirect
281. C4×#124C22semidirect
282. C4×#124C22semidirect
283. C4×#124C22semidirect
284. C4×#124C22semidirect
285. C4×#124C22semidirect
286. C4×#123C22semidirect
287. C4×#121C22semidirect
288. #2295C22semidirect
289. #2293C22semidirect
290. #2293C22semidirect
291. #2293C22semidirect
292. #2293C22semidirect
293. #2293C22semidirect
294. C2×#390C22semidirect
295. #2290C22semidirect
296. C42×Q8C22semidirect
297. C42×Q8C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#594182
#594142
#594122
#590462
#534862
#534852
#530662
#529862
#529772
#529762
#524862
#429662
#428382
#424352
#412372
#400532
#399532
#393622
#393612
#393552
#391742
#377512
#376272
#376252
#375702
#374932
#365952
#365832
#362602
#349542
#349342
#349182