Finite Group Databasebeta

← #8424368

Subgroups — #8424368

Order 512.

5896 conjugacy classes of subgroups.

The subgroup lattice has 1973 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59815C211yesmaximal, characteristic, complemented
2#59304C211yesmaximal, characteristic, complemented
3#59217C211yesmaximal, characteristic, complemented
4#59199C212yesmaximal, complemented
5#59003C212yesmaximal, complemented
6#55037C214yesmaximal, complemented
7#54928C214yesmaximal, complemented
8#53101C212yesmaximal, complemented
9#53096C212yesmaximal, complemented
10#53044C212yesmaximal, complemented
11#52957C212yesmaximal, complemented
12#52312C214yesmaximal, complemented
13#42909C212yesmaximal, complemented
14#42712C212yesmaximal, complemented
15#42608C212yesmaximal, complemented
16#42448C212yesmaximal, complemented
17#40690C214yesmaximal, complemented
18#39605C212yesmaximal, complemented
19#39471C211yesmaximal, characteristic, complemented
20#39340C211yesmaximal, characteristic, complemented
21#39191C211yesmaximal, characteristic, complemented
22#39191C211yesmaximal, characteristic, complemented
23#39132C212yesmaximal, complemented
24#37836C212yesmaximal, complemented
25#37648C212yesmaximal, complemented
26#37639C211yesmaximal, characteristic, complemented
27#37627C211yesmaximal, characteristic, complemented
28#37444C212yesmaximal, complemented
29#37439C212yesmaximal, complemented
30#36189C211yesmaximal, characteristic, complemented
31#36153C211yesmaximal, characteristic, complemented
32#36100C211yesmaximal, characteristic, complemented
33C2×#2537C211yesmaximal, characteristic, complemented
34#34681C211yesmaximal, characteristic, complemented
35#34681C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#550C2212yescomplemented
38C2×#547C2211yescharacteristic, complemented
39C2×#547C2211yescharacteristic, complemented
40C2×#546C2212yes—
41C2×#537C2212yescomplemented
42C2×#532C2211yescharacteristic, complemented
43C2×#532C2211yescharacteristic, complemented
44C2×#525C2212yes—
45C2×#525C2212yes—
46C2×#525C2212yes—
47C22×#121C2212yes—
48C22×#121C2212yes—
49C22×C4×D4C2211yescharacteristic
50C22×C4×D4C2211yescharacteristic
51#2859C2211yescharacteristic, complemented
52#2857C2211yescharacteristic
53#2857C2211yescharacteristic, complemented
54#2848C2212yes—
55#2847C2212yes—
56#2837C2214yescomplemented
57#2830C2214yescomplemented
58#2829C2214yescomplemented
59#2829C2214yescomplemented
60#2828C2214yescomplemented
61#2826C2214yescomplemented
62#2824C2214yescomplemented
63#2819C2214yescomplemented
64#2816C2214yescomplemented
65#2814C2214yescomplemented
66#2813C2214yescomplemented
67#2813C2214yescomplemented
68#2813C2214yescomplemented
69#2813C2214yescomplemented
70#2803C2214yescomplemented
71#2788C2214yescomplemented
72#2784C2214yescomplemented
73#2781C2214yescomplemented
74#2780C2214yescomplemented
75#2768C2214yescomplemented
76#2761C2214yescomplemented
77#2753C2214yescomplemented
78#2753C2214yescomplemented
79#2751C2214yescomplemented
80#2748C2214yescomplemented
81#2742C2214yescomplemented
82#2718C2214yescomplemented
83#2714C2214yescomplemented
84#2714C2214yescomplemented
85#2711C2214yescomplemented
86#2711C2214yescomplemented
87#2710C2214yescomplemented
88#2709C2214yescomplemented
89#2705C2214yescomplemented
90#2703C2214yescomplemented
91#2702C2214yescomplemented
92#2693C2214yescomplemented
93#2682C2214yescomplemented
94#2682C2214yescomplemented
95#2682C2214yescomplemented
96#2681C2214yescomplemented
97#2675C2214yescomplemented
98#2673C2214yescomplemented
99#2673C2214yescomplemented
100#2673C2214yescomplemented
101#2673C2214yescomplemented
102#2672C2214yescomplemented
103#2671C2214yescomplemented
104#2671C2214yescomplemented
105#2671C2214yescomplemented
106#2671C2214yescomplemented
107#2656C2214yescomplemented
108#2651C2214yescomplemented
109#2648C2214yescomplemented
110#2639C2214yescomplemented
111#2635C2214yescomplemented
112#2630C2214yescomplemented
113#2630C2214yescomplemented
114#2629C2212yescomplemented
115#2626C2214yes—
116#2625C2212yescomplemented
117#2624C2212yescomplemented
118#2624C2212yescomplemented
119#2624C2212yescomplemented
120#2620C2212yescomplemented
121#2619C2214yescomplemented
122#2617C2214yes—
123#2617C2214yes—
124#2616C2212yescomplemented
125#2615C2212yescomplemented
126#2615C2212yescomplemented
127#2615C2212yescomplemented
128#2615C2212yescomplemented
129#2615C2212yescomplemented
130#2570C2212yescomplemented
131#2564C2214yes—
132#2564C2214yescomplemented
133#2563C2212yescomplemented
134#2563C2212yescomplemented
135#2562C2212yescomplemented
136#2552C2211yescharacteristic, complemented
137#2547C2211yescharacteristic, complemented
138#2543C2214yes—
139#2542C2211yescharacteristic, complemented
140#2541C2212yescomplemented
141#2541C2212yescomplemented
142#2541C2212yescomplemented
143#2540C2212yescomplemented
144#2538C2212yescomplemented
145#2537C2211yescharacteristic
146#2537C2211yescharacteristic
147#2537C2211yescharacteristic
148#2537C2212yes—
149#2537C2211yescharacteristic
150#2537C2212yes—
151#2537C2212yes—
152#2537C2214yes—
153#2537C2212yes—
154#2537C2211yescharacteristic, complemented
155#2537C2211yescharacteristic, complemented
156#2537C2211yescharacteristic, complemented
157#2537C2212yescomplemented
158#2537C2212yescomplemented
159#2511C2212yescomplemented
160#2507C2212yescomplemented
161#2505C2214yes—
162#2505C2214yescomplemented
163#2501C2212yescomplemented
164#2497C2212yescomplemented
165#2497C2212yescomplemented
166#2497C2212yescomplemented
167#2497C2212yescomplemented
168#2497C2212yescomplemented
169#2496C2212yescomplemented
170#2492C2212yescomplemented
171#2490C2212yescomplemented
172#2490C2212yescomplemented
173#2487C2212yes—
174#2487C2212yes—
175#2487C2212yescomplemented
176#2487C2212yescomplemented
177#2487C2212yescomplemented
178#2486C2212yescomplemented
179#2485C2212yescomplemented
180#2485C2212yescomplemented
181#2485C2212yescomplemented
182#2476C2214yescomplemented
183#2472C2212yes—
184#2472C2212yes—
185#2464C2212yescomplemented
186#2464C2212yescomplemented
187#2461C2212yescomplemented
188#2461C2212yescomplemented
189#2456C2214yescomplemented
190#2455C2214yescomplemented
191#2452C2211yescharacteristic, complemented
192#2452C2211yescharacteristic, complemented
193#2450C2214yes—
194#2445C2211yescharacteristic, complemented
195#2445C2211yescharacteristic, complemented
196#2445C2214yescomplemented
197#2443C2214yes—
198#2442C2212yes—
199#2441C2212yescomplemented
200#2441C2212yescomplemented
201#2440C2211yescharacteristic
202#2440C2211yescharacteristic
203#2440C2212yescomplemented
204#2437C2214yes—
205#2433C2211yescharacteristic
206#2433C2211yescharacteristic
207#2433C2214yes—
208#2431C2212yescomplemented
209#2428C2212yescomplemented
210#2428C2212yescomplemented
211#2428C2214yescomplemented
212#2428C2212yescomplemented
213#2428C2211yescharacteristic, complemented
214#2428C2211yescharacteristic, complemented
215#2427C2212yescomplemented
216#2426C2212yescomplemented
217#2425C2214yescomplemented
218#2424C2214yes—
219#2424C2214yes—
220#2424C2212yes—
221#2424C2212yes—
222#2423C2212yescomplemented
223#2423C2212yescomplemented
224#2422C2212yescomplemented
225#2422C2211yescharacteristic, complemented
226#2422C2212yescomplemented
227#2422C2211yescharacteristic, complemented
228#2418C2214yes—
229#2417C2212yes—
230#2417C2212yes—
231#2417C2212yescomplemented
232#2416C2211yescharacteristic
233#2416C2212yes—
234#2416C2211yescharacteristic
235#2416C2212yescomplemented
236#2416C2212yescomplemented
237#2416C2212yescomplemented
238#2416C2212yescomplemented
239#2416C2212yescomplemented
240#2416C2212yescomplemented
241#2416C2212yescomplemented
242#2415C2212yescomplemented
243#2414C2212yescomplemented
244#2414C2212yescomplemented
245#2414C2212yescomplemented
246#2412C2214yes—
247#2410C2214yes—
248#2410C2214yes—
249#2408C2212yes—
250#2408C2211yescharacteristic
251#2408C2214yes—
252#2408C2211yescharacteristic
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2407C2212yescomplemented
257#2407C2212yescomplemented
258#2392C2212yescomplemented
259#2392C2212yescomplemented
260#2388C2212yescomplemented
261#2388C2212yescomplemented
262C2×#394C2214yes—
263#2363C2212yescomplemented
264#2361C2212yescomplemented
265#2360C2212yes—
266#2358C2214yes—
267#2354C2211yescharacteristic, complemented
268#2354C2211yescharacteristic, complemented
269#2352C2212yes—
270D4×C4⋊C4C2212yes—
271D4×C4⋊C4C2212yes—
272D4×C4⋊C4C2211yescharacteristic, complemented
273D4×C4⋊C4C2211yescharacteristic, complemented
274D4×C4⋊C4C2212yescomplemented
275#2345C2212yes—
276#2345C2212yescomplemented
277#2339C2212yescomplemented
278#2324C2212yescomplemented
279#2324C2212yescomplemented
280#2321C2214yes—
281#2311C2212yescomplemented
282C4×C4⋊Q8C2211yescharacteristic, complemented
283C4×#127C2211yescharacteristic, complemented
284C4×#127C2211yescharacteristic, complemented
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic, complemented
288C4×#121C2211yescharacteristic, complemented
289C4×#120C2212yes—
290C4×#120C2212yes—
291#2293C2211yescharacteristic, complemented
292#2293C2211yescharacteristic, complemented
293#2285C2211yescharacteristic, complemented
294C2×#384C2211yescharacteristic
295C2×#380C2212yes—
296C2×#380C2212yes—
297C2×#380C2212yes—
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×D4C2311yescharacteristic
304C23×D4C2311yescharacteristic
305C23×D4C2314yes—
306C24×C4C2312yes—
307C24×C4C2312yes—
308#553—48no—
309#550—48no—
310#547—44no—
311#547—44no—
312#546—48no—
313#537—48no—
314#532—44no—
315#532—44no—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#127C2311yescharacteristic
321C2×#127C2314yes—
322C2×#127C2311yescharacteristic
323C2×#127C2311yescharacteristic
324C2×#127C2314yes—
325C2×#126C2314yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331#525—48no—
332#525—48no—
333#525—48no—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2314yes—
337C2×#123C2312yes—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×#121—48no—
356C2×#121—48no—
357C2×#121C2312yes—
358C2×#121C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2311yescharacteristic
361C2×#121C2311yescharacteristic
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2311yescharacteristic
366C2×#121C2311yescharacteristic
367C2×#121C2311yescharacteristic
368C2×#121C2311yescharacteristic
369C2×#121C2311yescharacteristic
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2314yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2314yes—
390C2×#121C2312yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2314yes—
398C2×#121C2314yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#120C2312yes—
402C2×#120C2312yes—
403C2×#120C2314yes—
404C2×#120C2312yes—
405C2×#120C2312yes—
406C2×#120C2314yes—
407C2×#120C2312yes—
408C2×#120C2312yes—
409C2×C4×Q8C2312yes—
410C2×C4×D4—44no—
411C2×C4×D4—44no—
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2314yes—
431C2×C4×D4C2314yes—
432C2×C4×D4C2314yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2311yescharacteristic
436C2×C4×D4C2311yescharacteristic
437C2×C4×D4C2314yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C2×#117C2312yes—
449C2×#117C2312yes—
450C22×C4⋊C4C2312yes—
451C22×C4⋊C4C2312yes—
452C22×C4⋊C4C2312yes—
453C22×C4⋊C4C2311yescharacteristic
454C22×C4⋊C4C2312yes—
455C22×C4⋊C4C2312yes—
456C22×C4⋊C4C2312yes—
457C22×C4⋊C4C2311yescharacteristic
458C22×C4⋊C4C2312yes—
459C22×C22⋊C4C2314yes—
460C22×C22⋊C4C2314yes—
461C22×C22⋊C4C2314yes—
462C22×C22⋊C4C2312yes—
463C22×C22⋊C4C2312yes—
464C22×C42C2311yescharacteristic
465C22×C42C2311yescharacteristic
466#400C2314yes—
467#400C2314yes—
468#400C2314yes—
469#400C2314yes—
470#400C2314yes—
471#400C2314yes—
472#400C2314yes—
473#400C2314yes—
474#399C2314yes—
475#399C2314yes—
476#399C2314yes—
477#399C2314yes—
478#399C2314yes—
479#399C2314yes—
480#399C2314yes—
481#399C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2314yes—
488#398C2314yes—
489#398C2312yes—
490#398C2312yes—
491#397C2314yes—
492#397C2314yes—
493#397C2312yes—
494#397C2314yes—
495#397C2312yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2312yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2312yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2312yes—
517#396C2312yes—
518#395C2314yes—
519#395C2312yes—
520#395C2312yes—
521#394C2312yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2312yes—
533#394C2314yes—
534#394C2314yes—
535#394C2312yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2312yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2312yes—
545#394C2312yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2312yes—
555#394C2314yes—
556#394C2312yes—
557#394C2314yes—
558#394C2312yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2312yes—
564#394C2312yes—
565#394C2312yes—
566#394C2314yes—
567#393C2312yes—
568#393C2314yes—
569#393C2314yes—
570#393C2314yes—
571#393C2314yes—
572#393C2312yes—
573#393C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2312yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2314yes—
589#392C2314yes—
590#392C2312yes—
591#392C2314yes—
592#392C2312yes—
593#392C2312yes—
594#392C2312yes—
595#392C2312yes—
596#392C2312yes—
597#392C2312yes—
598#392C2314yes—
599#392C2314yes—
600#391C2312yes—
601#391C2314yes—
602#391C2312yes—
603#391C2312yes—
604#391C2312yes—
605#390C2311yescharacteristic
606#390C2311yescharacteristic
607#390C2311yescharacteristic
608#390C2311yescharacteristic
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2314yes—
614#390C2314yes—
615#390C2314yes—
616#390C2314yes—
617#390C2314yes—
618#390C2314yes—
619#390C2314yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2311yescharacteristic
624#390C2314yes—
625#390C2311yescharacteristic
626#390C2311yescharacteristic
627#390C2314yes—
628#390C2311yescharacteristic
629#390C2311yescharacteristic
630#390C2311yescharacteristic
631#390C2311yescharacteristic
632#390C2311yescharacteristic
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2311yescharacteristic
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2314yes—
646#389C2314yes—
647#389C2312yes—
648#389C2312yes—
649#389C2314yes—
650#389C2314yes—
651#389C2312yes—
652#389C2311yescharacteristic
653#389C2311yescharacteristic
654#389C2311yescharacteristic
655#389C2311yescharacteristic
656#389C2311yescharacteristic
657#389C2311yescharacteristic
658#389C2311yescharacteristic
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2312yes—
671#388C2312yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#386C2312yes—
692#386C2314yes—
693#386C2312yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2312yes—
713#386C2312yes—
714#386C2312yes—
715#386C2312yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2312yes—
735#385C2314yes—
736#385C2314yes—
737#385C2312yes—
738#385C2312yes—
739#385C2312yes—
740#385C2312yes—
741#384C2311yescharacteristic
742#384C2311yescharacteristic
743#384C2311yescharacteristic
744#384C2312yes—
745#384C2311yescharacteristic
746#384C2311yescharacteristic
747#384C2312yes—
748#384C2312yes—
749#384C2312yes—
750#384C2312yes—
751#382C2314yes—
752#382C2312yes—
753#382C2312yes—
754#381C2314yes—
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2314yes—
768#380C2314yes—
769#380C2314yes—
770#380C2314yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2311yescharacteristic
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2311yescharacteristic
784#380C2312yes—
785#380C2314yes—
786#380C2312yes—
787#380C2312yes—
788#380C2311yescharacteristic
789#380C2314yes—
790#380C2314yes—
791#380C2314yes—
792#380C2312yes—
793#380C2314yes—
794#379C2314yes—
795#379C2312yes—
796#379C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2311yescharacteristic
822C2×#95C2314yes—
823C2×#95C2314yes—
824C43C2311yescharacteristic
825C25C2412yes—
826C25C2412yes—
827C2×#41—28no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C2×#41—44no—
838C2×#41—44no—
839C22×Q8C2412yes—
840C22×Q8C2412yes—
841C22×Q8C2412yes—
842C22×D4—24no—
843C22×D4—24no—
844C22×D4—24no—
845C22×D4—42no—
846C22×D4—42no—
847C22×D4—42no—
848C22×D4—48no—
849C22×D4—48no—
850C22×D4—84no—
851C22×D4C2412yes—
852C22×D4C2411yescharacteristic
853C22×D4C2412yes—
854C22×D4C2411yescharacteristic
855C22×D4C2411yescharacteristic
856C22×D4C2411yescharacteristic
857C22×D4C2411yescharacteristic
858C22×D4C2411yescharacteristic
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2411yescharacteristic
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2412yes—
872C22×D4C2414yes—
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C22×D4C2414yes—
884C22×D4C2412yes—
885C23×C4—28no—
886C23×C4—28no—
887C23×C4—44no—
888C23×C4—44no—
889C23×C4—44no—
890C23×C4—44no—
891C23×C4C2412yes—
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2411yescharacteristic
902C23×C4C2411yescharacteristic
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2414yes—
906C23×C4C2414yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2414yes—
912C23×C4C2414yes—
913C23×C4C2414yes—
914C4⋊Q8—24no—
915C4⋊Q8—42no—
916C4⋊Q8—42no—
917#127—24no—
918#127—42no—
919#127—42no—
920#127—42no—
921#127—48no—
922#127—84no—
923#126—48no—
924#125—44no—
925#125—82no—
926#124—44no—
927#124—44no—
928#124—44no—
929#123—48no—
930#123—48no—
931#123—48no—
932#123—44no—
933#123—44no—
934#123—44no—
935#123—44no—
936#123—48no—
937#123—48no—
938#123—84no—
939C22⋊Q8—28no—
940C22⋊Q8—44no—
941C22⋊Q8—44no—
942C22⋊Q8—48no—
943C22⋊Q8—44no—
944C22⋊Q8—44no—
945C22⋊Q8—44no—
946C22⋊Q8—44no—
947C22⋊Q8—44no—
948C22⋊Q8—44no—
949C22⋊Q8—44no—
950#121—28no—
951#121—28no—
952#121—24no—
953#121—24no—
954#121—24no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—44no—
959#121—48no—
960#121—48no—
961#121—48no—
962#121—48no—
963#121—48no—
964#121—48no—
965#121—44no—
966#121—44no—
967#121—44no—
968#121—44no—
969#121—48no—
970#121—48no—
971#121—44no—
972#121—44no—
973#121—42no—
974#121—44no—
975#121—44no—
976#121—44no—
977#121—42no—
978#121—42no—
979#121—42no—
980#121—42no—
981#121—44no—
982#121—44no—
983#121—44no—
984#121—44no—
985#121—44no—
986#121—44no—
987#121—44no—
988#121—48no—
989#121—48no—
990#121—48no—
991#121—84no—
992#121—84no—
993#121—84no—
994#120—28no—
995#120—28no—
996#120—44no—
997#120—48no—
998#120—44no—
999#120—44no—
1000#120—44no—
1001#120—48no—
1002C4×Q8—44no—
1003C4×D4—24no—
1004C4×D4—24no—
1005C4×D4—28no—
1006C4×D4—28no—
1007C4×D4—24no—
1008C4×D4—24no—
1009C4×D4—24no—
1010C4×D4—24no—
1011C4×D4—24no—
1012C4×D4—24no—
1013C4×D4—24no—
1014C4×D4—44no—
1015C4×D4—44no—
1016C4×D4—42no—
1017C4×D4—42no—
1018C4×D4—42no—
1019C4×D4—42no—
1020C4×D4—44no—
1021C4×D4—44no—
1022C4×D4—44no—
1023C4×D4—44no—
1024C4×D4—44no—
1025C4×D4—44no—
1026C4×D4—44no—
1027C4×D4—44no—
1028C4×D4—44no—
1029C4×D4—44no—
1030C4×D4—44no—
1031C4×D4—44no—
1032C4×D4—48no—
1033C4×D4—48no—
1034C4×D4—48no—
1035C4×D4—48no—
1036#117—44no—
1037#117—44no—
1038#117—44no—
1039#117—44no—
1040#117—82no—
1041C2×C4⋊C4—28no—
1042C2×C4⋊C4—44no—
1043C2×C4⋊C4—42no—
1044C2×C4⋊C4—42no—
1045C2×C4⋊C4—44no—
1046C2×C4⋊C4—44no—
1047C2×C4⋊C4—44no—
1048C2×C4⋊C4—44no—
1049C2×C4⋊C4—82no—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C22⋊C4—44no—
1108C2×C22⋊C4—44no—
1109C2×C22⋊C4—48no—
1110C2×C22⋊C4—48no—
1111C2×C22⋊C4—48no—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2411yescharacteristic
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2411yescharacteristic
1126C2×C22⋊C4C2411yescharacteristic
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2411yescharacteristic
1193C2×C42—24no—
1194C2×C42—24no—
1195C2×C42C2411yescharacteristic
1196C2×C42C2411yescharacteristic
1197C2×C42C2412yes—
1198C2×C42C2412yes—
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2411yescharacteristic
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207C2×C42C2411yescharacteristic
1208C2×C42C2414yes—
1209C2×C42C2414yes—
1210C2×C42C2414yes—
1211C2×C42C2414yes—
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214#95C2412yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2412yes—
1223#95C2411yescharacteristic
1224#95C2411yescharacteristic
1225#95C2411yescharacteristic
1226#95C2411yescharacteristic
1227#95C2411yescharacteristic
1228#95C2411yescharacteristic
1229#95C2412yes—
1230#95C2412yes—
1231#95C2414yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2414yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2414yes—
1241#95C2412yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258C24—24no—
1259C24—24no—
1260C24—24no—
1261C24—24no—
1262C24—24no—
1263C24—24no—
1264C24—24no—
1265C24—42no—
1266C24—42no—
1267C24—42no—
1268C24—42no—
1269C24—42no—
1270C24—42no—
1271C24—42no—
1272C24C2512yes—
1273C24C2512yes—
1274C24C2512yes—
1275C24C2512yes—
1276C24C2512yes—
1277C24C2511yescharacteristic
1278C24C2512yes—
1279C24C2511yescharacteristic
1280#41—816no—
1281#41—816no—
1282#41—816no—
1283#41—816no—
1284C2×Q8—24no—
1285C2×Q8—24no—
1286C2×Q8—24no—
1287C2×Q8—42no—
1288C2×Q8—42no—
1289C2×Q8—42no—
1290C2×Q8—42no—
1291C2×Q8—42no—
1292C2×Q8—42no—
1293C2×D4—24no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—22no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—24no—
1305C2×D4—28no—
1306C2×D4—28no—
1307C2×D4—24no—
1308C2×D4—28no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—24no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—24no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—416no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—416no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—44no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—44no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—44no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—42no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—44no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—832no—
1397C2×D4H(5,𝔽2)14yes—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—24no—
1404C22×C4—28no—
1405C22×C4—24no—
1406C22×C4—28no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—24no—
1412C22×C4—24no—
1413C22×C4—24no—
1414C22×C4—24no—
1415C22×C4—24no—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—24no—
1419C22×C4—24no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—24no—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—24no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—24no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—22no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—41no—
1439C22×C4—41no—
1440C22×C4—42no—
1441C22×C4—42no—
1442C22×C4—42no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—42no—
1449C22×C4—42no—
1450C22×C4—42no—
1451C22×C4—42no—
1452C22×C4—44no—
1453C22×C4—44no—
1454C22×C4—42no—
1455C22×C4—42no—
1456C22×C4—42no—
1457C22×C4—42no—
1458C22×C4—42no—
1459C22×C4—44no—
1460C22×C4—44no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4—44no—
1464C22×C4—44no—
1465C22×C4—816no—
1466C22×C4—816no—
1467C22×C4H(5,𝔽2)14yes—
1468C22×C4H(5,𝔽2)14yes—
1469C22×C4C2511yescharacteristic
1470C22×C4C2512yes—
1471C22×C4C2511yescharacteristic
1472C22×C4C2514yes—
1473C22×C4C2512yes—
1474C22×C4C2512yes—
1475C22×C4C2511yescharacteristic
1476C22×C4C2512yes—
1477C22×C4C2511yescharacteristic
1478C22×C4C2512yes—
1479C22×C4C2512yes—
1480C22×C4C2511yescharacteristic
1481C22×C4C2514yes—
1482C22×C4C2514yes—
1483C22×C4C2514yes—
1484C22×C4C2512yes—
1485C22×C4C2512yes—
1486C22×C4C2512yes—
1487C22×C4C2512yes—
1488C22×C4C2511yescharacteristic
1489C22×C4C2511yescharacteristic
1490C22×C4C2511yescharacteristic
1491C22×C4C2511yescharacteristic
1492C22×C4C2511yescharacteristic
1493C22×C4C2511yescharacteristic
1494C22×C4C2511yescharacteristic
1495C22×C4C2511yescharacteristic
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—28no—
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—24no—
1502C4⋊C4—22no—
1503C4⋊C4—24no—
1504C4⋊C4—22no—
1505C4⋊C4—22no—
1506C4⋊C4—22no—
1507C4⋊C4—24no—
1508C4⋊C4—22no—
1509C4⋊C4—22no—
1510C4⋊C4—24no—
1511C4⋊C4—22no—
1512C4⋊C4—22no—
1513C4⋊C4—22no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—28no—
1517C4⋊C4—24no—
1518C4⋊C4—22no—
1519C4⋊C4—22no—
1520C4⋊C4—24no—
1521C4⋊C4—44no—
1522C4⋊C4—42no—
1523C4⋊C4—42no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4—44no—
1528C4⋊C4—42no—
1529C4⋊C4—44no—
1530C4⋊C4—42no—
1531C4⋊C4—42no—
1532C4⋊C4—42no—
1533C4⋊C4—42no—
1534C4⋊C4—42no—
1535C4⋊C4—42no—
1536C4⋊C4—42no—
1537C4⋊C4—42no—
1538C4⋊C4—42no—
1539C4⋊C4—42no—
1540C4⋊C4—42no—
1541C4⋊C4—42no—
1542C4⋊C4—42no—
1543C4⋊C4—42no—
1544C4⋊C4—44no—
1545C4⋊C4—44no—
1546C4⋊C4—44no—
1547C4⋊C4—44no—
1548C4⋊C4—44no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—44no—
1553C22⋊C4—24no—
1554C22⋊C4—28no—
1555C22⋊C4—28no—
1556C22⋊C4—28no—
1557C22⋊C4—24no—
1558C22⋊C4—22no—
1559C22⋊C4—22no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—22no—
1567C22⋊C4—22no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—24no—
1573C22⋊C4—22no—
1574C22⋊C4—24no—
1575C22⋊C4—24no—
1576C22⋊C4—24no—
1577C22⋊C4—24no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—42no—
1606C22⋊C4—42no—
1607C22⋊C4—44no—
1608C22⋊C4—42no—
1609C22⋊C4—42no—
1610C22⋊C4—42no—
1611C22⋊C4—42no—
1612C22⋊C4—44no—
1613C22⋊C4—42no—
1614C22⋊C4—42no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—42no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C22⋊C4—42no—
1628C22⋊C4—42no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—42no—
1632C22⋊C4—42no—
1633C22⋊C42−1+414yes—
1634C42—22no—
1635C42—22no—
1636C42—22no—
1637C42—22no—
1638C42—22no—
1639C42—22no—
1640C42—22no—
1641C42—22no—
1642C42—24no—
1643C42—24no—
1644C42—22no—
1645C42—22no—
1646C42—22no—
1647C42—44no—
1648C42—44no—
1649C42—44no—
1650C42—44no—
1651C42—41no—
1652C42H(5,𝔽2)14yes—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—22no—
1661C23—22no—
1662C23—22no—
1663C23—22no—
1664C23—22no—
1665C23—22no—
1666C23—22no—
1667C23—22no—
1668C23—22no—
1669C23—21no—
1670C23—21no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—22no—
1677C23—21no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—22no—
1684C23—22no—
1685C23—22no—
1686C23—21no—
1687C23—21no—
1688C23—22no—
1689C23—22no—
1690C23—22no—
1691C23—22no—
1692C23—22no—
1693C23—22no—
1694C23—22no—
1695C23—22no—
1696C23—22no—
1697C23—22no—
1698C23—21no—
1699C23—21no—
1700C23—22no—
1701C23—22no—
1702C23—22no—
1703C23—22no—
1704C23—22no—
1705C23—48no—
1706C23—48no—
1707C23—48no—
1708C23—48no—
1709C23—48no—
1710C23—48no—
1711C23—48no—
1712C23—84no—
1713C23—84no—
1714C23—84no—
1715C23—84no—
1716C23—84no—
1717C23—84no—
1718C23—84no—
1719C23C2×H(5,𝔽2)14yes—
1720C23C2×H(5,𝔽2)12yes—
1721C23C2×H(5,𝔽2)12yes—
1722C23C2×2−1+412yes—
1723C23C2611yescharacteristic
1724Q8—48no—
1725Q8—84no—
1726Q8—84no—
1727D4—28no—
1728D4—48no—
1729D4—48no—
1730D4—48no—
1731D4—48no—
1732D4—44no—
1733D4—48no—
1734D4—44no—
1735D4—44no—
1736D4—44no—
1737D4—44no—
1738D4—44no—
1739D4—84no—
1740D4—84no—
1741D4—84no—
1742D4—84no—
1743D4—84no—
1744D4—88no—
1745D4—88no—
1746D4—88no—
1747D4—84no—
1748D4—88no—
1749D4—84no—
1750D4—88no—
1751D4—88no—
1752D4—84no—
1753D4—84no—
1754D4—84no—
1755D4—88no—
1756D4—84no—
1757D4—84no—
1758D4—84no—
1759D4—164no—
1760D4—164no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—28no—
1772C2×C4—28no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—22no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—22no—
1784C2×C4—21no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—24no—
1790C2×C4—24no—
1791C2×C4—24no—
1792C2×C4—24no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—21no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—24no—
1800C2×C4—22no—
1801C2×C4—24no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—24no—
1811C2×C4—22no—
1812C2×C4—24no—
1813C2×C4—22no—
1814C2×C4—21no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—24no—
1821C2×C4—22no—
1822C2×C4—21no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—24no—
1828C2×C4—24no—
1829C2×C4—21no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—24no—
1833C2×C4—44no—
1834C2×C4—44no—
1835C2×C4—48no—
1836C2×C4—48no—
1837C2×C4—48no—
1838C2×C4—44no—
1839C2×C4—48no—
1840C2×C4—48no—
1841C2×C4—48no—
1842C2×C4—44no—
1843C2×C4—84no—
1844C2×C4—84no—
1845C2×C4—84no—
1846C2×C4—84no—
1847C2×C4—84no—
1848C2×C4—84no—
1849C2×C4—88no—
1850C2×C4—88no—
1851C2×C4—88no—
1852C2×C4—164no—
1853C2×C4—164no—
1854C2×C4C2×H(5,𝔽2)12yes—
1855C2×C4C2×H(5,𝔽2)12yes—
1856C2×C4C2×H(5,𝔽2)12yes—
1857C2×C4C2×H(5,𝔽2)12yes—
1858C2×C4C2×H(5,𝔽2)12yes—
1859C2×C4C2×H(5,𝔽2)12yes—
1860C2×C4C2×H(5,𝔽2)12yes—
1861C2×C4C2×H(5,𝔽2)12yes—
1862C2×C4C2×2−1+412yes—
1863C2×C4C2×2−1+412yes—
1864C2×C4#58512yes—
1865C22—22no—
1866C22—22no—
1867C22—22no—
1868C22—22no—
1869C22—22no—
1870C22—22no—
1871C22—24no—
1872C22—24no—
1873C22—24no—
1874C22—42no—
1875C22—42no—
1876C22—42no—
1877C22—42no—
1878C22—42no—
1879C22—42no—
1880C22—42no—
1881C22—41no—
1882C22—42no—
1883C22—42no—
1884C22—42no—
1885C22—42no—
1886C22—41no—
1887C22—42no—
1888C22—42no—
1889C22—42no—
1890C22—42no—
1891C22—42no—
1892C22—42no—
1893C22—41no—
1894C22—42no—
1895C22—42no—
1896C22—42no—
1897C22—42no—
1898C22—42no—
1899C22—42no—
1900C22—41no—
1901C22—42no—
1902C22—41no—
1903C22—42no—
1904C22—42no—
1905C22—42no—
1906C22—42no—
1907C22—42no—
1908C22—41no—
1909C22—42no—
1910C22—42no—
1911C22—42no—
1912C22—42no—
1913C22—42no—
1914C22—42no—
1915C22—41no—
1916C22—42no—
1917C22—42no—
1918C22—42no—
1919C22—42no—
1920C22—816no—
1921C22—816no—
1922C22#354814yes—
1923C22C22×H(5,𝔽2)11yescharacteristic
1924C22C22×H(5,𝔽2)11yescharacteristic
1925C22C22×H(5,𝔽2)11yescharacteristic
1926C22C22×H(5,𝔽2)11yescharacteristic
1927C22C22×2−1+411yescharacteristic
1928C22C2×#58511yescharacteristic
1929C22H(7,𝔽2)11yescharacteristic
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—42no—
1936C4—42no—
1937C4—42no—
1938C4—41no—
1939C4—44no—
1940C4—42no—
1941C4—41no—
1942C4—42no—
1943C4—44no—
1944C4—44no—
1945C4—42no—
1946C4—41no—
1947C4—42no—
1948C4—44no—
1949C4—41no—
1950C4—41no—
1951C4—42no—
1952C4—42no—
1953C4—41no—
1954C4—42no—
1955C4#353714yes—
1956C4#354214yes—
1957C2—24no—
1958C2—44no—
1959C2—82no—
1960C2—81no—
1961C2—82no—
1962C2—82no—
1963C2—82no—
1964C2—82no—
1965C2C2×#354211yescharacteristic
1966C2C2×#353711yescharacteristic
1967C2C2×#354811yescharacteristic
1968C2#6291211yescharacteristic
1969C2#6293011yescharacteristic
1970C2#6294411yescharacteristic
1971C2#6301311yescharacteristic
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. #59815C2semidirect
2. #59304C2semidirect
3. #59217C2semidirect
4. #59199C2semidirect
5. #59003C2semidirect
6. #55037C2semidirect
7. #54928C2semidirect
8. #53101C2semidirect
9. #53096C2semidirect
10. #53044C2semidirect
11. #52957C2semidirect
12. #52312C2semidirect
13. #42909C2semidirect
14. #42712C2semidirect
15. #42608C2semidirect
16. #42448C2semidirect
17. #40690C2semidirect
18. #39605C2semidirect
19. #39471C2semidirect
20. #39340C2semidirect
21. #39191C2semidirect
22. #39191C2semidirect
23. #39132C2semidirect
24. #37836C2semidirect
25. #37648C2semidirect
26. #37639C2semidirect
27. #37627C2semidirect
28. #37444C2semidirect
29. #37439C2semidirect
30. #36189C2semidirect
31. #36153C2semidirect
32. #36100C2semidirect
33. C2×#2537C2semidirect
34. #34681C2semidirect
35. #34681C2semidirect
37. C2×#550C22semidirect
38. C2×#547C22semidirect
39. C2×#547C22semidirect
41. C2×#537C22semidirect
42. C2×#532C22semidirect
43. C2×#532C22semidirect
51. #2859C22semidirect
53. #2857C22semidirect
56. #2837C22semidirect
57. #2830C22semidirect
58. #2829C22semidirect
59. #2829C22semidirect
60. #2828C22semidirect
61. #2826C22semidirect
62. #2824C22semidirect
63. #2819C22semidirect
64. #2816C22semidirect
65. #2814C22semidirect
66. #2813C22semidirect
67. #2813C22semidirect
68. #2813C22semidirect
69. #2813C22semidirect
70. #2803C22semidirect
71. #2788C22semidirect
72. #2784C22semidirect
73. #2781C22semidirect
74. #2780C22semidirect
75. #2768C22semidirect
76. #2761C22semidirect
77. #2753C22semidirect
78. #2753C22semidirect
79. #2751C22semidirect
80. #2748C22semidirect
81. #2742C22semidirect
82. #2718C22semidirect
83. #2714C22semidirect
84. #2714C22semidirect
85. #2711C22semidirect
86. #2711C22semidirect
87. #2710C22semidirect
88. #2709C22semidirect
89. #2705C22semidirect
90. #2703C22semidirect
91. #2702C22semidirect
92. #2693C22semidirect
93. #2682C22semidirect
94. #2682C22semidirect
95. #2682C22semidirect
96. #2681C22semidirect
97. #2675C22semidirect
98. #2673C22semidirect
99. #2673C22semidirect
100. #2673C22semidirect
101. #2673C22semidirect
102. #2672C22semidirect
103. #2671C22semidirect
104. #2671C22semidirect
105. #2671C22semidirect
106. #2671C22semidirect
107. #2656C22semidirect
108. #2651C22semidirect
109. #2648C22semidirect
110. #2639C22semidirect
111. #2635C22semidirect
112. #2630C22semidirect
113. #2630C22semidirect
114. #2629C22semidirect
116. #2625C22semidirect
117. #2624C22semidirect
118. #2624C22semidirect
119. #2624C22semidirect
120. #2620C22semidirect
121. #2619C22semidirect
124. #2616C22semidirect
125. #2615C22semidirect
126. #2615C22semidirect
127. #2615C22semidirect
128. #2615C22semidirect
129. #2615C22semidirect
130. #2570C22semidirect
132. #2564C22semidirect
133. #2563C22semidirect
134. #2563C22semidirect
135. #2562C22semidirect
136. #2552C22semidirect
137. #2547C22semidirect
139. #2542C22semidirect
140. #2541C22semidirect
141. #2541C22semidirect
142. #2541C22semidirect
143. #2540C22semidirect
144. #2538C22semidirect
154. #2537C22semidirect
155. #2537C22semidirect
156. #2537C22semidirect
157. #2537C22semidirect
158. #2537C22semidirect
159. #2511C22semidirect
160. #2507C22semidirect
162. #2505C22semidirect
163. #2501C22semidirect
164. #2497C22semidirect
165. #2497C22semidirect
166. #2497C22semidirect
167. #2497C22semidirect
168. #2497C22semidirect
169. #2496C22semidirect
170. #2492C22semidirect
171. #2490C22semidirect
172. #2490C22semidirect
175. #2487C22semidirect
176. #2487C22semidirect
177. #2487C22semidirect
178. #2486C22semidirect
179. #2485C22semidirect
180. #2485C22semidirect
181. #2485C22semidirect
182. #2476C22semidirect
185. #2464C22semidirect
186. #2464C22semidirect
187. #2461C22semidirect
188. #2461C22semidirect
189. #2456C22semidirect
190. #2455C22semidirect
191. #2452C22semidirect
192. #2452C22semidirect
194. #2445C22semidirect
195. #2445C22semidirect
196. #2445C22semidirect
199. #2441C22semidirect
200. #2441C22semidirect
203. #2440C22semidirect
208. #2431C22semidirect
209. #2428C22semidirect
210. #2428C22semidirect
211. #2428C22semidirect
212. #2428C22semidirect
213. #2428C22semidirect
214. #2428C22semidirect
215. #2427C22semidirect
216. #2426C22semidirect
217. #2425C22semidirect
222. #2423C22semidirect
223. #2423C22semidirect
224. #2422C22semidirect
225. #2422C22semidirect
226. #2422C22semidirect
227. #2422C22semidirect
231. #2417C22semidirect
235. #2416C22semidirect
236. #2416C22semidirect
237. #2416C22semidirect
238. #2416C22semidirect
239. #2416C22semidirect
240. #2416C22semidirect
241. #2416C22semidirect
242. #2415C22semidirect
243. #2414C22semidirect
244. #2414C22semidirect
245. #2414C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
258. #2392C22semidirect
259. #2392C22semidirect
260. #2388C22semidirect
261. #2388C22semidirect
263. #2363C22semidirect
264. #2361C22semidirect
267. #2354C22semidirect
268. #2354C22semidirect
272. D4×C4⋊C4C22semidirect
273. D4×C4⋊C4C22semidirect
274. D4×C4⋊C4C22semidirect
276. #2345C22semidirect
277. #2339C22semidirect
278. #2324C22semidirect
279. #2324C22semidirect
281. #2311C22semidirect
282. C4×C4⋊Q8C22semidirect
283. C4×#127C22semidirect
284. C4×#127C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
291. #2293C22semidirect
292. #2293C22semidirect
293. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#598152
#593042
#592172
#591992
#590032
#550372
#549282
#531012
#530962
#530442
#529572
#523122
#429092
#427122
#426082
#424482
#406902
#396052
#394712
#393402
#391912
#391322
#378362
#376482
#376392
#376272
#374442
#374392
#361892
#361532
#361002
C2×#25372
#346812