Finite Group Databasebeta

← #8175758

Subgroups — #8175758

Order 512.

5918 conjugacy classes of subgroups.

The subgroup lattice has 1940 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59864C211yesmaximal, characteristic, complemented
2#59815C211yesmaximal, characteristic, complemented
3#59652C211yesmaximal, characteristic, complemented
4#59412C211yesmaximal, characteristic, complemented
5#57178C214yesmaximal, complemented
6#57151C214yesmaximal, complemented
7#56401C214yesmaximal, complemented
8#53536C214yesmaximal, complemented
9#53115C212yesmaximal, complemented
10#53098C212yesmaximal, complemented
11#52988C212yesmaximal, complemented
12#52976C212yesmaximal, complemented
13#44936C212yesmaximal, complemented
14#44872C212yesmaximal, complemented
15#42739C212yesmaximal, complemented
16#42589C212yesmaximal, complemented
17#42508C212yesmaximal, complemented
18#42486C212yesmaximal, complemented
19#42478C212yesmaximal, complemented
20#42425C212yesmaximal, complemented
21#39634C211yesmaximal, characteristic, complemented
22#39469C211yesmaximal, characteristic, complemented
23#39378C211yesmaximal, characteristic, complemented
24#39341C211yesmaximal, characteristic, complemented
25#39169C211yesmaximal, characteristic, complemented
26#38953C211yesmaximal, characteristic, complemented
27#37839C212yesmaximal, complemented
28#37648C212yesmaximal, complemented
29#37439C212yesmaximal, complemented
30#37268C212yesmaximal, complemented
31#36154C211yesmaximal, characteristic, complemented
32D4×#121C211yesmaximal, characteristic, complemented
33#35288C211yesmaximal, characteristic, complemented
34#34936C211yesmaximal, characteristic, complemented
35#34619C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic, complemented
37C2×#554C2211yescharacteristic, complemented
38C2×#550C2211yescharacteristic, complemented
39C2×#550C2212yescomplemented
40C2×#547C2212yescomplemented
41C2×#546C2212yescomplemented
42C2×D42C2211yescharacteristic
43C2×D42C2212yes—
44C2×#540C2212yescomplemented
45C2×#537C2212yescomplemented
46C2×#532C2211yescharacteristic, complemented
47C2×#525C2212yescomplemented
48C2×#525C2212yescomplemented
49C22×#121C2212yes—
50C22×C4×D4C2211yescharacteristic
51#2859C2211yescharacteristic, complemented
52#2858C2211yescharacteristic, complemented
53#2857C2211yescharacteristic, complemented
54#2856C2211yescharacteristic
55#2848C2212yescomplemented
56#2847C2212yes—
57#2842C2214yescomplemented
58#2837C2214yescomplemented
59#2837C2214yescomplemented
60#2827C2214yescomplemented
61#2826C2214yescomplemented
62#2826C2214yescomplemented
63#2826C2214yescomplemented
64#2825C2214yescomplemented
65#2816C2214yescomplemented
66#2813C2214yescomplemented
67#2813C2214yescomplemented
68#2813C2214yescomplemented
69#2804C2214yescomplemented
70#2780C2214yescomplemented
71#2780C2214yescomplemented
72#2780C2214yescomplemented
73#2748C2214yescomplemented
74#2746C2214yescomplemented
75#2743C2214yescomplemented
76#2732C2214yescomplemented
77#2730C2214yescomplemented
78#2728C2214yescomplemented
79#2712C2214yescomplemented
80#2708C2214yescomplemented
81#2706C2214yescomplemented
82#2706C2214yescomplemented
83#2706C2214yescomplemented
84#2703C2214yescomplemented
85#2703C2214yescomplemented
86#2701C2214yescomplemented
87#2701C2214yescomplemented
88#2701C2214yescomplemented
89#2696C2214yescomplemented
90#2692C2214yescomplemented
91#2688C2214yescomplemented
92#2688C2214yescomplemented
93#2688C2214yescomplemented
94#2682C2214yescomplemented
95#2682C2214yescomplemented
96#2681C2214yescomplemented
97#2678C2214yescomplemented
98#2678C2214yescomplemented
99#2678C2214yescomplemented
100#2678C2214yescomplemented
101#2676C2214yescomplemented
102#2676C2214yescomplemented
103#2676C2214yescomplemented
104#2676C2214yescomplemented
105#2675C2214yescomplemented
106#2675C2214yescomplemented
107#2675C2214yescomplemented
108#2671C2214yescomplemented
109#2671C2214yescomplemented
110#2671C2214yescomplemented
111#2670C2214yescomplemented
112#2670C2214yescomplemented
113#2668C2214yescomplemented
114#2668C2214yescomplemented
115#2668C2214yescomplemented
116#2668C2214yescomplemented
117#2656C2214yescomplemented
118#2654C2212yescomplemented
119#2653C2212yescomplemented
120#2650C2212yescomplemented
121#2649C2214yescomplemented
122#2649C2212yescomplemented
123#2647C2211yescharacteristic, complemented
124#2647C2212yescomplemented
125#2645C2211yescharacteristic, complemented
126#2644C2211yescharacteristic, complemented
127#2644C2212yescomplemented
128#2641C2212yescomplemented
129#2640C2211yescharacteristic, complemented
130#2639C2214yescomplemented
131#2635C2214yescomplemented
132#2629C2212yescomplemented
133#2628C2211yescharacteristic, complemented
134#2626C2214yescomplemented
135#2626C2214yescomplemented
136#2625C2211yescharacteristic, complemented
137#2624C2211yescharacteristic
138#2624C2212yescomplemented
139#2620C2211yescharacteristic
140#2619C2212yescomplemented
141#2617C2214yescomplemented
142#2615C2212yes—
143#2615C2212yescomplemented
144#2615C2214yescomplemented
145#2580C2212yes—
146#2580C2214yescomplemented
147#2580C2212yescomplemented
148#2571C2212yescomplemented
149#2566C2212yescomplemented
150#2563C2211yescharacteristic
151#2563C2211yescharacteristic, complemented
152#2563C2212yescomplemented
153#2542C2211yescharacteristic
154#2542C2211yescharacteristic, complemented
155#2541C2211yescharacteristic
156#2541C2211yescharacteristic
157#2541C2212yescomplemented
158#2541C2211yescharacteristic, complemented
159#2541C2212yescomplemented
160#2541C2211yescharacteristic, complemented
161#2540C2212yescomplemented
162#2540C2212yescomplemented
163#2540C2212yescomplemented
164#2539C2212yescomplemented
165#2539C2214yescomplemented
166#2539C2212yescomplemented
167#2538C2211yescharacteristic
168#2538C2211yescharacteristic, complemented
169#2538C2212yescomplemented
170#2537C2211yescharacteristic
171#2537C2212yescomplemented
172#2537C2211yescharacteristic, complemented
173#2535C2212yescomplemented
174#2535C2212yescomplemented
175#2513C2212yescomplemented
176#2501C2211yescharacteristic, complemented
177#2501C2211yescharacteristic, complemented
178#2500C2212yescomplemented
179#2490C2212yescomplemented
180#2490C2212yescomplemented
181#2488C2214yescomplemented
182#2487C2212yescomplemented
183#2487C2212yescomplemented
184#2487C2212yescomplemented
185#2487C2212yescomplemented
186#2487C2212yescomplemented
187#2486C2212yescomplemented
188#2486C2212yescomplemented
189#2485C2212yescomplemented
190#2464C2214yescomplemented
191#2454C2212yes—
192#2454C2212yes—
193#2454C2212yescomplemented
194#2454C2212yescomplemented
195#2452C2212yescomplemented
196#2450C2214yescomplemented
197#2448C2212yescomplemented
198#2447C2212yescomplemented
199#2445C2212yescomplemented
200#2445C2212yescomplemented
201#2442C2212yescomplemented
202#2441C2212yescomplemented
203#2439C2212yescomplemented
204#2437C2214yescomplemented
205#2437C2214yescomplemented
206#2433C2212yes—
207#2433C2212yes—
208#2433C2211yescharacteristic
209#2433C2211yescharacteristic
210#2430C2214yescomplemented
211#2428C2212yes—
212#2428C2212yescomplemented
213#2428C2212yescomplemented
214#2428C2212yescomplemented
215#2428C2212yescomplemented
216#2428C2212yescomplemented
217#2427C2212yescomplemented
218#2426C2214yescomplemented
219#2426C2212yescomplemented
220#2424C2214yes—
221#2424C2214yescomplemented
222#2424C2214yescomplemented
223#2422C2212yescomplemented
224#2420C2212yescomplemented
225#2420C2212yescomplemented
226#2420C2212yescomplemented
227#2417C2212yescomplemented
228#2417C2212yescomplemented
229#2417C2212yescomplemented
230#2416C2212yes—
231#2416C2212yes—
232#2416C2212yescomplemented
233#2416C2212yescomplemented
234#2416C2212yescomplemented
235#2416C2212yescomplemented
236#2416C2212yescomplemented
237#2416C2212yescomplemented
238#2416C2212yescomplemented
239#2416C2212yescomplemented
240#2416C2212yescomplemented
241#2415C2212yescomplemented
242#2414C2212yescomplemented
243#2414C2212yescomplemented
244#2414C2212yescomplemented
245#2410C2214yes—
246#2410C2214yescomplemented
247#2410C2214yescomplemented
248#2410C2214yescomplemented
249#2408C2212yes—
250#2408C2212yescomplemented
251#2408C2214yescomplemented
252#2408C2212yescomplemented
253#2408C2212yescomplemented
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2407C2212yescomplemented
257#2407C2214yescomplemented
258#2407C2212yescomplemented
259#2404C2214yescomplemented
260#2404C2214yescomplemented
261#2401C2212yescomplemented
262#2398C2212yescomplemented
263#2397C2212yescomplemented
264#2397C2212yescomplemented
265#2396C2212yescomplemented
266#2395C2212yescomplemented
267#2366C2212yes—
268#2363C2212yescomplemented
269#2352C2212yescomplemented
270#2349C2212yescomplemented
271D4×C4⋊C4C2211yescharacteristic
272D4×C4⋊C4C2212yescomplemented
273D4×C4⋊C4C2211yescharacteristic, complemented
274D4×C4⋊C4C2211yescharacteristic, complemented
275D4×C4⋊C4C2211yescharacteristic, complemented
276D4×C22⋊C4C2212yes—
277D4×C22⋊C4C2212yes—
278D4×C22⋊C4C2212yes—
279#2328C2212yes—
280#2328C2212yescomplemented
281#2324C2212yescomplemented
282#2319C2212yescomplemented
283#2311C2212yescomplemented
284#2309C2212yes—
285C4×C4⋊Q8C2211yescharacteristic, complemented
286C4×C4⋊Q8C2211yescharacteristic, complemented
287C4×#127C2211yescharacteristic
288C4×#127C2211yescharacteristic
289C4×#127C2211yescharacteristic, complemented
290C4×#127C2211yescharacteristic, complemented
291C4×#127C2211yescharacteristic, complemented
292C4×#124C2211yescharacteristic, complemented
293C4×C22⋊Q8C2211yescharacteristic, complemented
294C4×#121C2211yescharacteristic
295#2295C2211yescharacteristic, complemented
296#2293C2211yescharacteristic, complemented
297C2×#380C2212yescomplemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2314yes—
302C23×D4C2311yescharacteristic
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2314yes—
306C24×C4C2312yes—
307#555—44no—
308#554—44no—
309#550—44no—
310#550—48no—
311#547—48no—
312#546—48no—
313D42—44no—
314D42—48no—
315#540—48no—
316#537—48no—
317#532—44no—
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2311yescharacteristic
321C2×#127C2311yescharacteristic
322C2×#127C2311yescharacteristic
323C2×#127C2311yescharacteristic
324C2×#127C2311yescharacteristic
325C2×#127C2311yescharacteristic
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2311yescharacteristic
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#124C2311yescharacteristic
333C2×#124C2314yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337#525—48no—
338#525—48no—
339C2×#123C2312yes—
340C2×#123C2312yes—
341C2×#123C2312yes—
342C2×#123C2312yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2312yes—
360C2×#121—48no—
361C2×#121C2312yes—
362C2×#121C2311yescharacteristic
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2312yes—
380C2×#121C2314yes—
381C2×#121C2312yes—
382C2×#121C2314yes—
383C2×#121C2312yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2314yes—
390C2×#121C2311yescharacteristic
391C2×#121C2312yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#121C2312yes—
395C2×#121C2311yescharacteristic
396C2×#121C2314yes—
397C2×#121C2312yes—
398C2×#121C2314yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#121C2314yes—
402C2×#121C2314yes—
403C2×#120C2314yes—
404C2×#120C2312yes—
405C2×#120C2314yes—
406C2×#120C2312yes—
407C2×#120C2314yes—
408C2×#120C2314yes—
409C2×#120C2312yes—
410C2×#120C2312yes—
411C2×#120C2314yes—
412C2×#120C2314yes—
413C2×#120C2314yes—
414C2×C4×Q8C2311yescharacteristic
415C2×C4×Q8C2312yes—
416C2×C4×Q8C2312yes—
417C2×C4×D4—44no—
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2312yes—
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2314yes—
447C2×#117C2311yescharacteristic
448C2×#117C2311yescharacteristic
449C2×#117C2312yes—
450C2×#117C2312yes—
451C2×#117C2312yes—
452C22×C4⋊C4C2312yes—
453C22×C4⋊C4C2312yes—
454C22×C4⋊C4C2312yes—
455C22×C4⋊C4C2312yes—
456C22×C4⋊C4C2312yes—
457C22×C4⋊C4C2311yescharacteristic
458C22×C22⋊C4C2314yes—
459C22×C22⋊C4C2314yes—
460C22×C22⋊C4C2312yes—
461C22×C22⋊C4C2314yes—
462C22×C42C2311yescharacteristic
463#401C2312yes—
464#400C2314yes—
465#400C2314yes—
466#400C2314yes—
467#400C2314yes—
468#400C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2314yes—
474#400C2312yes—
475#400C2312yes—
476#399C2312yes—
477#399C2314yes—
478#399C2312yes—
479#399C2312yes—
480#399C2312yes—
481#399C2314yes—
482#399C2314yes—
483#399C2312yes—
484#399C2314yes—
485#399C2312yes—
486#399C2314yes—
487#399C2314yes—
488#399C2312yes—
489#399C2314yes—
490#399C2312yes—
491#399C2312yes—
492#399C2312yes—
493#398C2314yes—
494#398C2314yes—
495#398C2314yes—
496#398C2312yes—
497#398C2314yes—
498#398C2314yes—
499#398C2312yes—
500#398C2312yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2312yes—
505#397C2312yes—
506#397C2312yes—
507#397C2314yes—
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2312yes—
512#397C2314yes—
513#397C2312yes—
514#397C2312yes—
515#397C2312yes—
516#397C2312yes—
517#397C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2312yes—
530#396C2314yes—
531#396C2312yes—
532#396C2312yes—
533#396C2314yes—
534#396C2314yes—
535#396C2314yes—
536#396C2314yes—
537#395C2312yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2312yes—
560#394C2312yes—
561#394C2312yes—
562#394C2312yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#393C2312yes—
571#393C2314yes—
572#393C2314yes—
573#393C2314yes—
574#393C2314yes—
575#393C2314yes—
576#393C2312yes—
577#393C2314yes—
578#393C2312yes—
579#392C2312yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2314yes—
589#392C2312yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2312yes—
597#392C2314yes—
598#392C2314yes—
599#392C2312yes—
600#392C2312yes—
601#392C2312yes—
602#392C2312yes—
603#392C2312yes—
604#392C2314yes—
605#392C2314yes—
606#392C2314yes—
607#391C2312yes—
608#391C2312yes—
609#391C2314yes—
610#391C2312yes—
611#391C2311yescharacteristic
612#391C2311yescharacteristic
613#391C2311yescharacteristic
614#391C2311yescharacteristic
615#390C2311yescharacteristic
616#390C2311yescharacteristic
617#390C2312yes—
618#390C2311yescharacteristic
619#390C2311yescharacteristic
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2311yescharacteristic
624#390C2311yescharacteristic
625#390C2312yes—
626#390C2311yescharacteristic
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2311yescharacteristic
634#390C2312yes—
635#390C2312yes—
636#390C2314yes—
637#390C2312yes—
638#390C2314yes—
639#390C2314yes—
640#390C2312yes—
641#390C2312yes—
642#390C2314yes—
643#390C2312yes—
644#390C2312yes—
645#390C2312yes—
646#390C2314yes—
647#390C2312yes—
648#390C2312yes—
649#390C2312yes—
650#390C2312yes—
651#390C2312yes—
652#390C2314yes—
653#390C2311yescharacteristic
654#390C2311yescharacteristic
655#390C2311yescharacteristic
656#390C2311yescharacteristic
657#390C2314yes—
658#389C2312yes—
659#389C2312yes—
660#389C2311yescharacteristic
661#389C2312yes—
662#389C2311yescharacteristic
663#389C2312yes—
664#389C2314yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#389C2312yes—
669#389C2314yes—
670#389C2312yes—
671#389C2312yes—
672#389C2312yes—
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2312yes—
677#389C2311yescharacteristic
678#389C2311yescharacteristic
679#389C2311yescharacteristic
680#389C2311yescharacteristic
681#389C2311yescharacteristic
682#389C2311yescharacteristic
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2312yes—
691#388C2312yes—
692#388C2314yes—
693#388C2312yes—
694#388C2312yes—
695#388C2312yes—
696#387C2314yes—
697#387C2312yes—
698#387C2314yes—
699#387C2312yes—
700#387C2312yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2312yes—
732#386C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2312yes—
753#384C2311yescharacteristic
754#384C2311yescharacteristic
755#384C2311yescharacteristic
756#384C2311yescharacteristic
757#384C2311yescharacteristic
758#384C2311yescharacteristic
759#384C2311yescharacteristic
760#382C2312yes—
761#382C2312yes—
762#382C2314yes—
763#382C2312yes—
764#382C2311yescharacteristic
765#381C2314yes—
766#381C2314yes—
767#381C2314yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2311yescharacteristic
775#380C2312yes—
776#380C2312yes—
777#380C2314yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2314yes—
785#380C2312yes—
786#380C2311yescharacteristic
787#380C2314yes—
788#380C2314yes—
789#380C2314yes—
790#380C2314yes—
791#380C2312yes—
792#380C2314yes—
793#379C2314yes—
794#379C2314yes—
795#379C2314yes—
796#379C2314yes—
797#379C2314yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819#376C2311yescharacteristic
820#376C2312yes—
821#376C2311yescharacteristic
822C2×#95C2314yes—
823C43C2311yescharacteristic
824C43C2311yescharacteristic
825C25C2412yes—
826C25C2414yes—
827C2×#41—28no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—48no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—48no—
834C2×#41—44no—
835C2×#41—84no—
836C22×Q8C2411yescharacteristic
837C22×Q8C2412yes—
838C22×Q8C2412yes—
839C22×Q8C2412yes—
840C22×D4—24no—
841C22×D4—24no—
842C22×D4—28no—
843C22×D4—42no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—48no—
850C22×D4—48no—
851C22×D4—84no—
852C22×D4C2411yescharacteristic
853C22×D4C2411yescharacteristic
854C22×D4C2412yes—
855C22×D4C2411yescharacteristic
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2411yescharacteristic
861C22×D4C2411yescharacteristic
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2412yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2412yes—
877C22×D4C2414yes—
878C22×D4C2412yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C22×D4C2414yes—
884C22×D4C2414yes—
885C22×D4C2414yes—
886C23×C4—28no—
887C23×C4—44no—
888C23×C4—44no—
889C23×C4C2412yes—
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2412yes—
893C23×C4C2411yescharacteristic
894C23×C4C2412yes—
895C23×C4C2411yescharacteristic
896C23×C4C2412yes—
897C23×C4C2411yescharacteristic
898C23×C4C2414yes—
899C23×C4C2412yes—
900C23×C4C2414yes—
901C23×C4C2412yes—
902C23×C4C2414yes—
903C23×C4C2414yes—
904C23×C4C2414yes—
905C23×C4C2414yes—
906C23×C4C2414yes—
907C4⋊Q8—24no—
908C4⋊Q8—24no—
909C4⋊Q8—42no—
910#127—24no—
911#127—28no—
912#127—24no—
913#127—24no—
914#127—24no—
915#127—24no—
916#127—42no—
917#127—44no—
918#127—44no—
919#125—44no—
920#125—44no—
921#124—24no—
922#124—44no—
923#124—48no—
924#124—82no—
925#124—82no—
926#123—44no—
927#123—44no—
928#123—48no—
929#123—48no—
930#123—48no—
931#123—48no—
932#123—44no—
933#123—44no—
934#123—48no—
935C22⋊Q8—24no—
936C22⋊Q8—44no—
937C22⋊Q8—44no—
938C22⋊Q8—48no—
939C22⋊Q8—48no—
940C22⋊Q8—44no—
941C22⋊Q8—44no—
942C22⋊Q8—44no—
943C22⋊Q8—44no—
944C22⋊Q8—48no—
945C22⋊Q8—44no—
946C22⋊Q8—82no—
947#121—28no—
948#121—24no—
949#121—28no—
950#121—48no—
951#121—44no—
952#121—48no—
953#121—44no—
954#121—44no—
955#121—48no—
956#121—48no—
957#121—48no—
958#121—48no—
959#121—48no—
960#121—48no—
961#121—48no—
962#121—48no—
963#121—44no—
964#121—44no—
965#121—44no—
966#121—44no—
967#121—42no—
968#121—42no—
969#121—44no—
970#121—44no—
971#121—44no—
972#121—44no—
973#121—44no—
974#121—44no—
975#121—44no—
976#121—44no—
977#121—44no—
978#121—44no—
979#121—44no—
980#121—48no—
981#121—48no—
982#121—48no—
983#121—84no—
984#121—82no—
985#121—84no—
986#121—84no—
987#121—84no—
988#121—84no—
989#120—44no—
990#120—44no—
991#120—48no—
992#120—48no—
993#120—44no—
994#120—44no—
995#120—48no—
996#120—48no—
997#120—84no—
998#120—84no—
999#120—84no—
1000C4×Q8—24no—
1001C4×Q8—44no—
1002C4×Q8—82no—
1003C4×D4—28no—
1004C4×D4—24no—
1005C4×D4—24no—
1006C4×D4—28no—
1007C4×D4—28no—
1008C4×D4—24no—
1009C4×D4—24no—
1010C4×D4—24no—
1011C4×D4—28no—
1012C4×D4—44no—
1013C4×D4—42no—
1014C4×D4—42no—
1015C4×D4—44no—
1016C4×D4—44no—
1017C4×D4—44no—
1018C4×D4—44no—
1019C4×D4—44no—
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—82no—
1031C4×D4—84no—
1032#117—24no—
1033#117—24no—
1034#117—44no—
1035#117—44no—
1036#117—44no—
1037C2×C4⋊C4—42no—
1038C2×C4⋊C4—44no—
1039C2×C4⋊C4—44no—
1040C2×C4⋊C4—44no—
1041C2×C4⋊C4—44no—
1042C2×C4⋊C4—44no—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C22⋊C4—44no—
1101C2×C22⋊C4—48no—
1102C2×C22⋊C4—48no—
1103C2×C22⋊C4—84no—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C22⋊C4C2411yescharacteristic
1113C2×C22⋊C4C2411yescharacteristic
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C42—24no—
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2412yes—
1189C2×C42C2411yescharacteristic
1190C2×C42C2412yes—
1191C2×C42C2411yescharacteristic
1192C2×C42C2412yes—
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2411yescharacteristic
1197C2×C42C2414yes—
1198C2×C42C2411yescharacteristic
1199C2×C42C2414yes—
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2411yescharacteristic
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205#95C2412yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2411yescharacteristic
1212#95C2411yescharacteristic
1213#95C2411yescharacteristic
1214#95C2411yescharacteristic
1215#95C2411yescharacteristic
1216#95C2411yescharacteristic
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2414yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2414yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253C24—24no—
1254C24—24no—
1255C24—24no—
1256C24—28no—
1257C24—42no—
1258C24—42no—
1259C24—42no—
1260C24—44no—
1261C24—42no—
1262C24—44no—
1263C24—44no—
1264C24—44no—
1265C24—44no—
1266C24—44no—
1267C24C2512yes—
1268C24C2514yes—
1269C24C2512yes—
1270C24C2512yes—
1271C24C2511yescharacteristic
1272C24C2512yes—
1273C24C2512yes—
1274#41—816no—
1275#41—816no—
1276#41—832no—
1277C2×Q8—22no—
1278C2×Q8—22no—
1279C2×Q8—22no—
1280C2×Q8—24no—
1281C2×Q8—24no—
1282C2×Q8—24no—
1283C2×Q8—42no—
1284C2×Q8—42no—
1285C2×Q8—42no—
1286C2×Q8—42no—
1287C2×Q8—42no—
1288C2×Q8—42no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—28no—
1295C2×D4—28no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—28no—
1299C2×D4—24no—
1300C2×D4—28no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—24no—
1305C2×D4—24no—
1306C2×D4—28no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—24no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—24no—
1319C2×D4—24no—
1320C2×D4—22no—
1321C2×D4—24no—
1322C2×D4—22no—
1323C2×D4—24no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—24no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—42no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—416no—
1390C2×D4—816no—
1391C2×D4—816no—
1392C2×D4—832no—
1393C2×D4H(5,𝔽2)14yes—
1394C2×D42−1+414yes—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—28no—
1398C22×C4—24no—
1399C22×C4—22no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—24no—
1410C22×C4—24no—
1411C22×C4—24no—
1412C22×C4—24no—
1413C22×C4—22no—
1414C22×C4—24no—
1415C22×C4—22no—
1416C22×C4—24no—
1417C22×C4—22no—
1418C22×C4—24no—
1419C22×C4—28no—
1420C22×C4—24no—
1421C22×C4—42no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—42no—
1428C22×C4—42no—
1429C22×C4—44no—
1430C22×C4—44no—
1431C22×C4—44no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—42no—
1436C22×C4—42no—
1437C22×C4—44no—
1438C22×C4—41no—
1439C22×C4—44no—
1440C22×C4—41no—
1441C22×C4—42no—
1442C22×C4—44no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—816no—
1449C22×C4H(5,𝔽2)14yes—
1450C22×C4C2511yescharacteristic
1451C22×C4C2511yescharacteristic
1452C22×C4C2511yescharacteristic
1453C22×C4C2511yescharacteristic
1454C22×C4C2512yes—
1455C22×C4C2512yes—
1456C22×C4C2512yes—
1457C22×C4C2512yes—
1458C22×C4C2512yes—
1459C22×C4C2514yes—
1460C22×C4C2511yescharacteristic
1461C22×C4C2512yes—
1462C22×C4C2514yes—
1463C22×C4C2512yes—
1464C22×C4C2514yes—
1465C22×C4C2512yes—
1466C22×C4C2512yes—
1467C22×C4C2511yescharacteristic
1468C22×C4C2511yescharacteristic
1469C22×C4C2511yescharacteristic
1470C22×C4C2512yes—
1471C22×C4C2512yes—
1472C22×C4C2511yescharacteristic
1473C22×C4C2511yescharacteristic
1474C22×C4C2511yescharacteristic
1475C22×C4C2511yescharacteristic
1476C22×C4C2511yescharacteristic
1477C22×C4C2511yescharacteristic
1478C4⋊C4—24no—
1479C4⋊C4—22no—
1480C4⋊C4—22no—
1481C4⋊C4—24no—
1482C4⋊C4—22no—
1483C4⋊C4—22no—
1484C4⋊C4—22no—
1485C4⋊C4—24no—
1486C4⋊C4—22no—
1487C4⋊C4—22no—
1488C4⋊C4—22no—
1489C4⋊C4—22no—
1490C4⋊C4—22no—
1491C4⋊C4—22no—
1492C4⋊C4—22no—
1493C4⋊C4—22no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—22no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—42no—
1504C4⋊C4—44no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4—44no—
1508C4⋊C4—44no—
1509C4⋊C4—42no—
1510C4⋊C4—42no—
1511C4⋊C4—42no—
1512C4⋊C4—42no—
1513C4⋊C4—42no—
1514C4⋊C4—42no—
1515C4⋊C4—42no—
1516C4⋊C4—42no—
1517C4⋊C4—42no—
1518C4⋊C4—42no—
1519C4⋊C4—42no—
1520C4⋊C4—42no—
1521C4⋊C4—42no—
1522C4⋊C4—42no—
1523C4⋊C4—42no—
1524C4⋊C4—42no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4—44no—
1530C4⋊C4—42no—
1531C4⋊C4—42no—
1532C4⋊C4—42no—
1533C4⋊C4—44no—
1534C4⋊C4—44no—
1535C22⋊C4—22no—
1536C22⋊C4—22no—
1537C22⋊C4—28no—
1538C22⋊C4—28no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—24no—
1544C22⋊C4—24no—
1545C22⋊C4—28no—
1546C22⋊C4—22no—
1547C22⋊C4—22no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—28no—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—24no—
1556C22⋊C4—42no—
1557C22⋊C4—42no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—42no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—42no—
1571C22⋊C4—44no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—42no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C22⋊C4—42no—
1586C22⋊C4—42no—
1587C22⋊C4—42no—
1588C22⋊C4—44no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—42no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—42no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C42—22no—
1615C42—22no—
1616C42—22no—
1617C42—22no—
1618C42—22no—
1619C42—22no—
1620C42—22no—
1621C42—24no—
1622C42—24no—
1623C42—24no—
1624C42—22no—
1625C42—22no—
1626C42—22no—
1627C42—44no—
1628C42—41no—
1629C42—44no—
1630C42—41no—
1631C42—41no—
1632C42—41no—
1633C42H(5,𝔽2)14yes—
1634C42H(5,𝔽2)14yes—
1635C23—21no—
1636C23—22no—
1637C23—22no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—22no—
1642C23—21no—
1643C23—22no—
1644C23—21no—
1645C23—21no—
1646C23—22no—
1647C23—21no—
1648C23—22no—
1649C23—22no—
1650C23—22no—
1651C23—22no—
1652C23—21no—
1653C23—22no—
1654C23—22no—
1655C23—24no—
1656C23—22no—
1657C23—24no—
1658C23—22no—
1659C23—22no—
1660C23—22no—
1661C23—22no—
1662C23—22no—
1663C23—22no—
1664C23—22no—
1665C23—22no—
1666C23—22no—
1667C23—24no—
1668C23—24no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—24no—
1673C23—24no—
1674C23—24no—
1675C23—22no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—48no—
1682C23—48no—
1683C23—48no—
1684C23—84no—
1685C23—84no—
1686C23—84no—
1687C23—88no—
1688C23—88no—
1689C23—88no—
1690C23—84no—
1691C23—88no—
1692C23—88no—
1693C23—164no—
1694C23—164no—
1695C23C2×H(5,𝔽2)12yes—
1696C23C2×H(5,𝔽2)14yes—
1697C23C2×2−1+414yes—
1698C23C2611yescharacteristic
1699Q8—48no—
1700Q8—44no—
1701Q8—84no—
1702Q8—84no—
1703D4—28no—
1704D4—28no—
1705D4—48no—
1706D4—48no—
1707D4—48no—
1708D4—48no—
1709D4—44no—
1710D4—44no—
1711D4—48no—
1712D4—44no—
1713D4—48no—
1714D4—84no—
1715D4—84no—
1716D4—84no—
1717D4—84no—
1718D4—84no—
1719D4—84no—
1720D4—84no—
1721D4—84no—
1722D4—88no—
1723D4—88no—
1724D4—88no—
1725D4—88no—
1726D4—84no—
1727D4—84no—
1728D4—88no—
1729D4—84no—
1730D4—88no—
1731D4—88no—
1732D4—88no—
1733D4—164no—
1734D4—164no—
1735D4—164no—
1736D4—164no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—28no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—24no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—24no—
1771C2×C4—24no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—24no—
1777C2×C4—24no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—21no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—22no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—24no—
1800C2×C4—21no—
1801C2×C4—24no—
1802C2×C4—24no—
1803C2×C4—21no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—24no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—21no—
1811C2×C4—22no—
1812C2×C4—44no—
1813C2×C4—48no—
1814C2×C4—48no—
1815C2×C4—48no—
1816C2×C4—48no—
1817C2×C4—48no—
1818C2×C4—82no—
1819C2×C4—84no—
1820C2×C4—84no—
1821C2×C4—88no—
1822C2×C4—84no—
1823C2×C4—88no—
1824C2×C4—88no—
1825C2×C4—88no—
1826C2×C4—88no—
1827C2×C4—164no—
1828C2×C4—164no—
1829C2×C4C2×H(5,𝔽2)12yes—
1830C2×C4C2×H(5,𝔽2)12yes—
1831C2×C4C2×H(5,𝔽2)12yes—
1832C2×C4C2×H(5,𝔽2)12yes—
1833C2×C4C2×H(5,𝔽2)12yes—
1834C2×C4C2×H(5,𝔽2)12yes—
1835C2×C4C2×H(5,𝔽2)12yes—
1836C2×C4C2×H(5,𝔽2)12yes—
1837C2×C4C2×H(5,𝔽2)12yes—
1838C2×C4C2×2−1+412yes—
1839C22—24no—
1840C22—24no—
1841C22—22no—
1842C22—24no—
1843C22—22no—
1844C22—24no—
1845C22—24no—
1846C22—24no—
1847C22—22no—
1848C22—41no—
1849C22—42no—
1850C22—42no—
1851C22—41no—
1852C22—42no—
1853C22—42no—
1854C22—42no—
1855C22—41no—
1856C22—42no—
1857C22—42no—
1858C22—42no—
1859C22—41no—
1860C22—42no—
1861C22—44no—
1862C22—42no—
1863C22—42no—
1864C22—42no—
1865C22—42no—
1866C22—44no—
1867C22—42no—
1868C22—42no—
1869C22—42no—
1870C22—44no—
1871C22—42no—
1872C22—42no—
1873C22—44no—
1874C22—42no—
1875C22—42no—
1876C22—44no—
1877C22—42no—
1878C22—42no—
1879C22—42no—
1880C22—42no—
1881C22—42no—
1882C22—42no—
1883C22—42no—
1884C22—44no—
1885C22—44no—
1886C22—42no—
1887C22—42no—
1888C22—816no—
1889C22—1616no—
1890C22C22×H(5,𝔽2)11yescharacteristic
1891C22C22×H(5,𝔽2)11yescharacteristic
1892C22C22×H(5,𝔽2)11yescharacteristic
1893C22C22×H(5,𝔽2)11yescharacteristic
1894C22C22×2−1+411yescharacteristic
1895C22H(7,𝔽2)11yescharacteristic
1896C22H(7,𝔽2)11yescharacteristic
1897C4—22no—
1898C4—22no—
1899C4—22no—
1900C4—22no—
1901C4—41no—
1902C4—42no—
1903C4—42no—
1904C4—42no—
1905C4—42no—
1906C4—42no—
1907C4—42no—
1908C4—41no—
1909C4—42no—
1910C4—44no—
1911C4—44no—
1912C4—42no—
1913C4—42no—
1914C4—42no—
1915C4—44no—
1916C4—42no—
1917C4—41no—
1918C4—41no—
1919C4—41no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4#353614yes—
1924C4#354314yes—
1925C2—44no—
1926C2—42no—
1927C2—44no—
1928C2—82no—
1929C2—82no—
1930C2—84no—
1931C2—82no—
1932C2C2×#353611yescharacteristic
1933C2C2×#354311yescharacteristic
1934C2#6288011yescharacteristic
1935C2#6291211yescharacteristic
1936C2#6291211yescharacteristic
1937C2#6294411yescharacteristic
1938C2#6294411yescharacteristic
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. #59864C2semidirect
2. #59815C2semidirect
3. #59652C2semidirect
4. #59412C2semidirect
5. #57178C2semidirect
6. #57151C2semidirect
7. #56401C2semidirect
8. #53536C2semidirect
9. #53115C2semidirect
10. #53098C2semidirect
11. #52988C2semidirect
12. #52976C2semidirect
13. #44936C2semidirect
14. #44872C2semidirect
15. #42739C2semidirect
16. #42589C2semidirect
17. #42508C2semidirect
18. #42486C2semidirect
19. #42478C2semidirect
20. #42425C2semidirect
21. #39634C2semidirect
22. #39469C2semidirect
23. #39378C2semidirect
24. #39341C2semidirect
25. #39169C2semidirect
26. #38953C2semidirect
27. #37839C2semidirect
28. #37648C2semidirect
29. #37439C2semidirect
30. #37268C2semidirect
31. #36154C2semidirect
32. D4×#121C2semidirect
33. #35288C2semidirect
34. #34936C2semidirect
35. #34619C2semidirect
36. C2×#555C22semidirect
37. C2×#554C22semidirect
38. C2×#550C22semidirect
39. C2×#550C22semidirect
40. C2×#547C22semidirect
41. C2×#546C22semidirect
44. C2×#540C22semidirect
45. C2×#537C22semidirect
46. C2×#532C22semidirect
47. C2×#525C22semidirect
48. C2×#525C22semidirect
51. #2859C22semidirect
52. #2858C22semidirect
53. #2857C22semidirect
55. #2848C22semidirect
57. #2842C22semidirect
58. #2837C22semidirect
59. #2837C22semidirect
60. #2827C22semidirect
61. #2826C22semidirect
62. #2826C22semidirect
63. #2826C22semidirect
64. #2825C22semidirect
65. #2816C22semidirect
66. #2813C22semidirect
67. #2813C22semidirect
68. #2813C22semidirect
69. #2804C22semidirect
70. #2780C22semidirect
71. #2780C22semidirect
72. #2780C22semidirect
73. #2748C22semidirect
74. #2746C22semidirect
75. #2743C22semidirect
76. #2732C22semidirect
77. #2730C22semidirect
78. #2728C22semidirect
79. #2712C22semidirect
80. #2708C22semidirect
81. #2706C22semidirect
82. #2706C22semidirect
83. #2706C22semidirect
84. #2703C22semidirect
85. #2703C22semidirect
86. #2701C22semidirect
87. #2701C22semidirect
88. #2701C22semidirect
89. #2696C22semidirect
90. #2692C22semidirect
91. #2688C22semidirect
92. #2688C22semidirect
93. #2688C22semidirect
94. #2682C22semidirect
95. #2682C22semidirect
96. #2681C22semidirect
97. #2678C22semidirect
98. #2678C22semidirect
99. #2678C22semidirect
100. #2678C22semidirect
101. #2676C22semidirect
102. #2676C22semidirect
103. #2676C22semidirect
104. #2676C22semidirect
105. #2675C22semidirect
106. #2675C22semidirect
107. #2675C22semidirect
108. #2671C22semidirect
109. #2671C22semidirect
110. #2671C22semidirect
111. #2670C22semidirect
112. #2670C22semidirect
113. #2668C22semidirect
114. #2668C22semidirect
115. #2668C22semidirect
116. #2668C22semidirect
117. #2656C22semidirect
118. #2654C22semidirect
119. #2653C22semidirect
120. #2650C22semidirect
121. #2649C22semidirect
122. #2649C22semidirect
123. #2647C22semidirect
124. #2647C22semidirect
125. #2645C22semidirect
126. #2644C22semidirect
127. #2644C22semidirect
128. #2641C22semidirect
129. #2640C22semidirect
130. #2639C22semidirect
131. #2635C22semidirect
132. #2629C22semidirect
133. #2628C22semidirect
134. #2626C22semidirect
135. #2626C22semidirect
136. #2625C22semidirect
138. #2624C22semidirect
140. #2619C22semidirect
141. #2617C22semidirect
143. #2615C22semidirect
144. #2615C22semidirect
146. #2580C22semidirect
147. #2580C22semidirect
148. #2571C22semidirect
149. #2566C22semidirect
151. #2563C22semidirect
152. #2563C22semidirect
154. #2542C22semidirect
157. #2541C22semidirect
158. #2541C22semidirect
159. #2541C22semidirect
160. #2541C22semidirect
161. #2540C22semidirect
162. #2540C22semidirect
163. #2540C22semidirect
164. #2539C22semidirect
165. #2539C22semidirect
166. #2539C22semidirect
168. #2538C22semidirect
169. #2538C22semidirect
171. #2537C22semidirect
172. #2537C22semidirect
173. #2535C22semidirect
174. #2535C22semidirect
175. #2513C22semidirect
176. #2501C22semidirect
177. #2501C22semidirect
178. #2500C22semidirect
179. #2490C22semidirect
180. #2490C22semidirect
181. #2488C22semidirect
182. #2487C22semidirect
183. #2487C22semidirect
184. #2487C22semidirect
185. #2487C22semidirect
186. #2487C22semidirect
187. #2486C22semidirect
188. #2486C22semidirect
189. #2485C22semidirect
190. #2464C22semidirect
193. #2454C22semidirect
194. #2454C22semidirect
195. #2452C22semidirect
196. #2450C22semidirect
197. #2448C22semidirect
198. #2447C22semidirect
199. #2445C22semidirect
200. #2445C22semidirect
201. #2442C22semidirect
202. #2441C22semidirect
203. #2439C22semidirect
204. #2437C22semidirect
205. #2437C22semidirect
210. #2430C22semidirect
212. #2428C22semidirect
213. #2428C22semidirect
214. #2428C22semidirect
215. #2428C22semidirect
216. #2428C22semidirect
217. #2427C22semidirect
218. #2426C22semidirect
219. #2426C22semidirect
221. #2424C22semidirect
222. #2424C22semidirect
223. #2422C22semidirect
224. #2420C22semidirect
225. #2420C22semidirect
226. #2420C22semidirect
227. #2417C22semidirect
228. #2417C22semidirect
229. #2417C22semidirect
232. #2416C22semidirect
233. #2416C22semidirect
234. #2416C22semidirect
235. #2416C22semidirect
236. #2416C22semidirect
237. #2416C22semidirect
238. #2416C22semidirect
239. #2416C22semidirect
240. #2416C22semidirect
241. #2415C22semidirect
242. #2414C22semidirect
243. #2414C22semidirect
244. #2414C22semidirect
246. #2410C22semidirect
247. #2410C22semidirect
248. #2410C22semidirect
250. #2408C22semidirect
251. #2408C22semidirect
252. #2408C22semidirect
253. #2408C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
258. #2407C22semidirect
259. #2404C22semidirect
260. #2404C22semidirect
261. #2401C22semidirect
262. #2398C22semidirect
263. #2397C22semidirect
264. #2397C22semidirect
265. #2396C22semidirect
266. #2395C22semidirect
268. #2363C22semidirect
269. #2352C22semidirect
270. #2349C22semidirect
272. D4×C4⋊C4C22semidirect
273. D4×C4⋊C4C22semidirect
274. D4×C4⋊C4C22semidirect
275. D4×C4⋊C4C22semidirect
280. #2328C22semidirect
281. #2324C22semidirect
282. #2319C22semidirect
283. #2311C22semidirect
285. C4×C4⋊Q8C22semidirect
286. C4×C4⋊Q8C22semidirect
289. C4×#127C22semidirect
290. C4×#127C22semidirect
291. C4×#127C22semidirect
292. C4×#124C22semidirect
293. C4×C22⋊Q8C22semidirect
295. #2295C22semidirect
296. #2293C22semidirect
297. C2×#380C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#598642
#598152
#596522
#594122
#571782
#571512
#564012
#535362
#531152
#530982
#529882
#529762
#449362
#448722
#427392
#425892
#425082
#424862
#424782
#424252
#396342
#394692
#393782
#393412
#391692
#389532
#378392
#376482
#374392
#372682
#361542
D4×#1212
#352882
#349362
#346192