Finite Group Databasebeta

← #7647562

Subgroups — #7647562

Order 512.

5901 conjugacy classes of subgroups.

The subgroup lattice has 1978 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42463C212yesmaximal, complemented
2#42462C212yesmaximal, complemented
3#42448C212yesmaximal, complemented
4#42447C212yesmaximal, complemented
5#40641C214yesmaximal, complemented
6#40640C214yesmaximal, complemented
7#39934C212yesmaximal, complemented
8#39933C212yesmaximal, complemented
9#39910C212yesmaximal, complemented
10#39909C212yesmaximal, complemented
11#38468C214yesmaximal, complemented
12#38466C214yesmaximal, complemented
13#37501C212yesmaximal, complemented
14#37498C212yesmaximal, complemented
15#37414C212yesmaximal, complemented
16#37411C212yesmaximal, complemented
17#37334C212yesmaximal, complemented
18#37331C212yesmaximal, complemented
19#35545C211yesmaximal, characteristic, complemented
20#35542C211yesmaximal, characteristic, complemented
21#35541C211yesmaximal, characteristic, complemented
22#35514C211yesmaximal, characteristic, complemented
23#35267C211yesmaximal, characteristic, complemented
24#35264C211yesmaximal, characteristic, complemented
25#35263C211yesmaximal, characteristic, complemented
26#35252C211yesmaximal, characteristic, complemented
27#35250C211yesmaximal, characteristic, complemented
28#35151C211yesmaximal, characteristic, complemented
29#35044C212yesmaximal, complemented
30#35038C212yesmaximal, complemented
31#34736C211yesmaximal, characteristic, complemented
32C2×#2414C211yesmaximal, characteristic, complemented
33#34204C211yesmaximal, characteristic, complemented
34D4×#117C211yesmaximal, characteristic, complemented
35#34044C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#544C2211yescharacteristic, complemented
38C2×#535C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C22×#121C2211yescharacteristic
43C22×#121C2211yescharacteristic, complemented
44C2×#518C2211yescharacteristic, complemented
45C22×C4×D4C2211yescharacteristic
46C22×#117C2211yescharacteristic
47C22×#117C2211yescharacteristic
48C22×#117C2211yescharacteristic, complemented
49#2863C2212yescomplemented
50#2861C2212yescomplemented
51#2860C2212yescomplemented
52#2858C2212yescomplemented
53#2856C2212yescomplemented
54#2855C2212yescomplemented
55#2855C2214yescomplemented
56#2854C2212yescomplemented
57#2850C2212yescomplemented
58#2847C2212yescomplemented
59#2847C2212yescomplemented
60#2826C2214yescomplemented
61#2825C2214yescomplemented
62#2825C2214yescomplemented
63#2824C2214yescomplemented
64#2808C2214yescomplemented
65#2804C2214yescomplemented
66#2803C2214yescomplemented
67#2803C2214yescomplemented
68#2797C2214yescomplemented
69#2788C2214yescomplemented
70#2775C2214yescomplemented
71#2761C2214yescomplemented
72#2760C2214yescomplemented
73#2759C2214yescomplemented
74#2752C2214yescomplemented
75#2751C2214yescomplemented
76#2751C2214yescomplemented
77#2751C2214yescomplemented
78#2750C2214yescomplemented
79#2749C2214yescomplemented
80#2749C2214yescomplemented
81#2745C2214yescomplemented
82#2743C2214yescomplemented
83#2733C2214yescomplemented
84#2714C2214yescomplemented
85#2714C2214yescomplemented
86#2710C2214yescomplemented
87#2697C2214yescomplemented
88#2685C2214yescomplemented
89#2685C2214yescomplemented
90#2684C2214yescomplemented
91#2682C2214yescomplemented
92#2678C2214yescomplemented
93#2678C2214yescomplemented
94#2670C2214yescomplemented
95#2668C2214yescomplemented
96#2653C2214yescomplemented
97#2649C2214yescomplemented
98#2648C2214yescomplemented
99#2648C2214yescomplemented
100#2648C2214yescomplemented
101#2648C2214yescomplemented
102#2645C2212yescomplemented
103#2644C2212yescomplemented
104#2641C2212yescomplemented
105#2640C2212yescomplemented
106#2636C2214yescomplemented
107#2635C2214yescomplemented
108#2635C2214yescomplemented
109#2631C2214yescomplemented
110#2631C2214yescomplemented
111#2630C2214yescomplemented
112#2626C2214yes—
113#2625C2212yescomplemented
114#2624C2212yescomplemented
115#2620C2212yescomplemented
116#2619C2212yescomplemented
117#2615C2212yescomplemented
118#2615C2212yescomplemented
119#2597C2214yescomplemented
120#2595C2214yescomplemented
121#2578C2214yescomplemented
122#2576C2214yescomplemented
123#2563C2212yescomplemented
124#2562C2212yescomplemented
125#2562C2212yescomplemented
126#2559C2214yescomplemented
127#2559C2214yescomplemented
128#2557C2214yescomplemented
129#2557C2214yescomplemented
130#2547C2212yescomplemented
131#2537C2212yescomplemented
132#2537C2212yescomplemented
133#2535C2212yescomplemented
134#2535C2212yescomplemented
135#2514C2212yescomplemented
136#2513C2212yescomplemented
137#2512C2212yescomplemented
138#2511C2212yescomplemented
139#2510C2214yescomplemented
140#2510C2214yescomplemented
141#2498C2214yescomplemented
142#2497C2212yescomplemented
143#2497C2212yescomplemented
144#2496C2212yescomplemented
145#2496C2212yescomplemented
146#2495C2212yescomplemented
147#2495C2212yescomplemented
148#2494C2212yescomplemented
149#2494C2212yescomplemented
150#2492C2212yescomplemented
151#2491C2212yescomplemented
152#2491C2212yescomplemented
153#2491C2212yescomplemented
154#2490C2212yescomplemented
155#2490C2212yescomplemented
156#2490C2212yescomplemented
157#2489C2212yescomplemented
158#2488C2214yescomplemented
159#2487C2212yescomplemented
160#2486C2212yescomplemented
161#2485C2212yescomplemented
162#2485C2212yescomplemented
163#2481C2214yescomplemented
164#2481C2214yescomplemented
165#2472C2214yescomplemented
166#2472C2214yescomplemented
167#2472C2214yescomplemented
168#2467C2214yescomplemented
169#2459C2214yescomplemented
170#2456C2214yescomplemented
171#2456C2214yescomplemented
172#2447C2212yescomplemented
173#2447C2212yescomplemented
174#2445C2212yescomplemented
175#2445C2212yescomplemented
176#2441C2212yescomplemented
177#2441C2212yescomplemented
178#2441C2212yescomplemented
179#2441C2212yescomplemented
180#2439C2212yescomplemented
181#2439C2212yescomplemented
182#2439C2212yescomplemented
183#2439C2212yescomplemented
184#2436C2212yescomplemented
185#2433C2212yescomplemented
186#2431C2212yescomplemented
187#2431C2212yescomplemented
188#2428C2212yescomplemented
189#2428C2212yescomplemented
190#2427C2212yescomplemented
191#2427C2212yescomplemented
192#2422C2212yescomplemented
193#2422C2212yescomplemented
194#2420C2212yescomplemented
195#2420C2212yescomplemented
196#2416C2212yescomplemented
197#2416C2212yescomplemented
198#2414C2212yes—
199#2414C2212yes—
200#2414C2212yes—
201#2414C2212yes—
202#2414C2212yescomplemented
203#2414C2212yescomplemented
204#2414C2212yescomplemented
205#2414C2212yescomplemented
206#2414C2212yescomplemented
207#2414C2212yescomplemented
208#2412C2214yescomplemented
209#2412C2214yescomplemented
210#2412C2214yescomplemented
211#2412C2214yescomplemented
212#2411C2214yescomplemented
213#2410C2214yescomplemented
214#2410C2214yescomplemented
215#2409C2211yescharacteristic, complemented
216#2409C2211yescharacteristic, complemented
217#2408C2211yescharacteristic, complemented
218#2408C2211yescharacteristic, complemented
219#2407C2211yescharacteristic, complemented
220#2407C2211yescharacteristic, complemented
221#2407C2211yescharacteristic, complemented
222#2407C2211yescharacteristic, complemented
223#2406C2212yes—
224#2405C2212yes—
225#2404C2212yes—
226#2404C2214yes—
227#2403C2212yes—
228#2403C2214yes—
229#2388C2212yescomplemented
230#2388C2212yescomplemented
231C2×#394C2212yes—
232C2×#392C2212yes—
233#2363C2212yescomplemented
234#2363C2212yescomplemented
235#2361C2212yescomplemented
236#2361C2212yescomplemented
237#2354C2211yescharacteristic, complemented
238#2354C2211yescharacteristic, complemented
239#2352C2211yescharacteristic, complemented
240#2352C2211yescharacteristic, complemented
241#2352C2211yescharacteristic, complemented
242#2352C2211yescharacteristic, complemented
243D4×C4⋊C4C2211yescharacteristic, complemented
244D4×C4⋊C4C2211yescharacteristic, complemented
245#2344C2212yescomplemented
246#2342C2212yes—
247#2342C2212yescomplemented
248#2342C2214yescomplemented
249D4×C22⋊C4C2212yes—
250D4×C22⋊C4C2214yes—
251#2337C2214yescomplemented
252#2335C2214yescomplemented
253#2333C2214yescomplemented
254#2333C2214yescomplemented
255#2324C2212yescomplemented
256#2324C2212yescomplemented
257#2317C2211yescharacteristic, complemented
258#2317C2211yescharacteristic, complemented
259#2316C2211yescharacteristic, complemented
260#2316C2211yescharacteristic, complemented
261#2311C2211yescharacteristic
262#2311C2211yescharacteristic
263#2311C2211yescharacteristic
264#2311C2211yescharacteristic
265#2311C2211yescharacteristic
266#2311C2211yescharacteristic
267#2311C2212yescomplemented
268#2311C2212yescomplemented
269#2310C2212yescomplemented
270#2309C2211yescharacteristic, complemented
271#2309C2212yescomplemented
272#2308C2214yes—
273C4×#121C2212yescomplemented
274C4×#121C2212yescomplemented
275C4×#120C2212yescomplemented
276C4×#120C2212yescomplemented
277#2297C2214yes—
278#2297C2211yescharacteristic
279#2297C2211yescharacteristic
280#2297C2212yescomplemented
281#2297C2212yescomplemented
282#2293C2212yescomplemented
283C2×#390C2212yescomplemented
284C2×#390C2211yescharacteristic, complemented
285C2×#389C2211yescharacteristic, complemented
286#2290C2212yescomplemented
287#2290C2212yescomplemented
288C2×#388C2212yescomplemented
289#2285C2211yescharacteristic, complemented
290#2280C2211yescharacteristic
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic, complemented
293#2280C2212yescomplemented
294#2280C2212yescomplemented
295C2×#380C2211yescharacteristic, complemented
296#2274C2211yescharacteristic, complemented
297C42×D4C2212yescomplemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41—28no—
300C22×#41—44no—
301C22×#41—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2311yescharacteristic
307C22×#41C2311yescharacteristic
308C23×Q8C2311yescharacteristic
309C23×D4C2311yescharacteristic
310C23×D4C2312yes—
311C23×D4C2311yescharacteristic
312C23×D4C2311yescharacteristic
313C23×D4C2312yes—
314C23×D4C2312yes—
315C24×C4C2311yescharacteristic
316C24×C4C2311yescharacteristic
317C24×C4C2312yes—
318#544—44no—
319#535—44no—
320#535—44no—
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#126C2314yes—
326C2×#126C2314yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#124C2314yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2314yes—
333C2×#124C2314yes—
334#525—44no—
335#525—44no—
336C2×#123C2314yes—
337C2×#123C2312yes—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×#121—28no—
347C2×#121—44no—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2311yescharacteristic
360C2×#121C2311yescharacteristic
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2311yescharacteristic
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#120C2312yes—
369C2×#120C2312yes—
370C2×#120C2314yes—
371C2×#120C2314yes—
372C2×#120C2312yes—
373C2×#120C2312yes—
374C2×#120C2314yes—
375C2×#120C2314yes—
376#518—44no—
377C2×C4×D4—28no—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2314yes—
398C2×#117—44no—
399C2×#117—44no—
400C2×#117—44no—
401C2×#117C2311yescharacteristic
402C2×#117C2311yescharacteristic
403C2×#117C2311yescharacteristic
404C2×#117C2311yescharacteristic
405C2×#117C2311yescharacteristic
406C2×#117C2311yescharacteristic
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2312yes—
411C2×#117C2312yes—
412C2×#117C2311yescharacteristic
413C2×#117C2311yescharacteristic
414C2×#117C2311yescharacteristic
415C2×#117C2311yescharacteristic
416C2×#117C2312yes—
417C2×#117C2312yes—
418C2×#117C2312yes—
419C22×C4⋊C4C2311yescharacteristic
420C22×C4⋊C4C2311yescharacteristic
421C22×C4⋊C4C2311yescharacteristic
422C22×C4⋊C4C2311yescharacteristic
423C22×C4⋊C4C2311yescharacteristic
424C22×C4⋊C4C2311yescharacteristic
425C22×C4⋊C4C2311yescharacteristic
426C22×C4⋊C4C2311yescharacteristic
427C22×C4⋊C4C2312yes—
428C22×C22⋊C4C2311yescharacteristic
429C22×C22⋊C4C2311yescharacteristic
430C22×C22⋊C4C2312yes—
431C22×C22⋊C4C2312yes—
432C22×C22⋊C4C2312yes—
433C22×C22⋊C4C2312yes—
434C22×C22⋊C4C2314yes—
435C22×C22⋊C4C2312yes—
436C22×C22⋊C4C2312yes—
437C22×C22⋊C4C2312yes—
438C22×C22⋊C4C2312yes—
439C22×C42C2311yescharacteristic
440C22×C42C2312yes—
441C22×C42C2312yes—
442C22×C42C2312yes—
443#401C2314yes—
444#401C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#399C2314yes—
455#399C2314yes—
456#399C2314yes—
457#398C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#395C2312yes—
486#395C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2312yes—
513#394C2312yes—
514#394C2312yes—
515#394C2312yes—
516#394C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2312yes—
526#393C2312yes—
527#392C2314yes—
528#392C2312yes—
529#392C2314yes—
530#392C2312yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2312yes—
540#392C2314yes—
541#392C2314yes—
542#392C2312yes—
543#392C2314yes—
544#392C2314yes—
545#392C2312yes—
546#392C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2314yes—
552#391C2314yes—
553#391C2312yes—
554#391C2312yes—
555#391C2314yes—
556#391C2314yes—
557#391C2314yes—
558#391C2311yescharacteristic
559#391C2311yescharacteristic
560#391C2311yescharacteristic
561#391C2311yescharacteristic
562#390C2314yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2314yes—
568#390C2314yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2314yes—
576#390C2314yes—
577#390C2314yes—
578#390C2314yes—
579#390C2314yes—
580#390C2312yes—
581#390C2312yes—
582#390C2314yes—
583#390C2314yes—
584#390C2311yescharacteristic
585#390C2312yes—
586#390C2311yescharacteristic
587#390C2312yes—
588#390C2311yescharacteristic
589#390C2311yescharacteristic
590#390C2314yes—
591#390C2312yes—
592#390C2312yes—
593#390C2314yes—
594#390C2314yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2314yes—
608#389C2314yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2312yes—
686#386C2312yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2312yes—
697#386C2312yes—
698#386C2314yes—
699#386C2314yes—
700#386C2312yes—
701#386C2312yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#386C2312yes—
706#386C2312yes—
707#386C2312yes—
708#385C2312yes—
709#385C2312yes—
710#385C2314yes—
711#385C2314yes—
712#385C2312yes—
713#385C2312yes—
714#385C2314yes—
715#385C2314yes—
716#385C2312yes—
717#385C2312yes—
718#385C2314yes—
719#385C2312yes—
720#385C2312yes—
721#385C2314yes—
722#385C2314yes—
723#385C2312yes—
724#385C2312yes—
725#384C2312yes—
726#384C2312yes—
727#384C2311yescharacteristic
728#384C2311yescharacteristic
729#383C2314yes—
730#383C2314yes—
731#382C2314yes—
732#382C2312yes—
733#382C2312yes—
734#382C2311yescharacteristic
735#382C2311yescharacteristic
736#381C2314yes—
737#381C2314yes—
738#381C2314yes—
739#381C2314yes—
740#381C2314yes—
741#381C2312yes—
742#381C2312yes—
743#381C2312yes—
744#380C2312yes—
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2314yes—
763#380C2314yes—
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2314yes—
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2311yescharacteristic
775#380C2312yes—
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#379C2314yes—
779#379C2314yes—
780#379C2314yes—
781#379C2312yes—
782#379C2312yes—
783#379C2312yes—
784#379C2312yes—
785#379C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821#376C2312yes—
822C2×#95C2312yes—
823C2×#95C2312yes—
824C43C2312yes—
825C25C2411yescharacteristic
826C25C2412yes—
827C25C2411yescharacteristic
828C25C2412yes—
829C2×#41—28no—
830C2×#41—28no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—44no—
840C2×#41—44no—
841C2×#41—44no—
842C2×#41—44no—
843C2×#41—42no—
844C2×#41—42no—
845C2×#41—42no—
846C2×#41—42no—
847C2×#41—464no—
848C22×Q8—24no—
849C22×Q8—42no—
850C22×Q8—42no—
851C22×Q8C2411yescharacteristic
852C22×Q8C2411yescharacteristic
853C22×Q8C2412yes—
854C22×Q8C2414yes—
855C22×D4—24no—
856C22×D4—28no—
857C22×D4—28no—
858C22×D4—24no—
859C22×D4—24no—
860C22×D4—24no—
861C22×D4—24no—
862C22×D4—42no—
863C22×D4—42no—
864C22×D4—42no—
865C22×D4—44no—
866C22×D4—42no—
867C22×D4—44no—
868C22×D4—44no—
869C22×D4—44no—
870C22×D4—82no—
871C22×D4—82no—
872C22×D4—82no—
873C22×D4C2411yescharacteristic
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2411yescharacteristic
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2414yes—
883C22×D4C2411yescharacteristic
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C23×C4—24no—
899C23×C4—24no—
900C23×C4—24no—
901C23×C4—28no—
902C23×C4—24no—
903C23×C4—24no—
904C23×C4—44no—
905C23×C4—44no—
906C23×C4#4118yes—
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2412yes—
931C23×C4C2414yes—
932C23×C4C2414yes—
933C23×C4C2411yescharacteristic
934C4⋊Q8—44no—
935C4⋊Q8—44no—
936#127—44no—
937#127—44no—
938#126—84no—
939#126—84no—
940#125—44no—
941#125—44no—
942#124—48no—
943#124—44no—
944#124—44no—
945#124—84no—
946#124—84no—
947#123—48no—
948#123—44no—
949#123—44no—
950#123—84no—
951#123—84no—
952C22⋊Q8—48no—
953C22⋊Q8—42no—
954C22⋊Q8—42no—
955C22⋊Q8—42no—
956C22⋊Q8—42no—
957#121—28no—
958#121—28no—
959#121—28no—
960#121—28no—
961#121—48no—
962#121—44no—
963#121—44no—
964#121—44no—
965#121—44no—
966#121—42no—
967#121—42no—
968#121—42no—
969#121—42no—
970#121—44no—
971#121—44no—
972#121—44no—
973#121—44no—
974#121—48no—
975#121—84no—
976#121—84no—
977#120—44no—
978#120—44no—
979#120—44no—
980#120—48no—
981#120—48no—
982#120—44no—
983#120—84no—
984#120—84no—
985C4×D4—24no—
986C4×D4—24no—
987C4×D4—24no—
988C4×D4—24no—
989C4×D4—24no—
990C4×D4—24no—
991C4×D4—24no—
992C4×D4—24no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—44no—
998C4×D4—44no—
999C4×D4—44no—
1000C4×D4—44no—
1001C4×D4—44no—
1002C4×D4—44no—
1003C4×D4—84no—
1004C4×D4—84no—
1005#117—24no—
1006#117—24no—
1007#117—24no—
1008#117—24no—
1009#117—24no—
1010#117—24no—
1011#117—44no—
1012#117—44no—
1013#117—44no—
1014#117—44no—
1015#117—44no—
1016#117—44no—
1017#117—44no—
1018#117—44no—
1019#117—42no—
1020#117—42no—
1021#117—42no—
1022#117—42no—
1023C2×C4⋊C4—24no—
1024C2×C4⋊C4—24no—
1025C2×C4⋊C4—24no—
1026C2×C4⋊C4—24no—
1027C2×C4⋊C4—42no—
1028C2×C4⋊C4—42no—
1029C2×C4⋊C4—42no—
1030C2×C4⋊C4—42no—
1031C2×C4⋊C4—82no—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C22⋊C4—24no—
1080C2×C22⋊C4—24no—
1081C2×C22⋊C4—28no—
1082C2×C22⋊C4—44no—
1083C2×C22⋊C4—44no—
1084C2×C22⋊C4—44no—
1085C2×C22⋊C4—48no—
1086C2×C22⋊C4—44no—
1087C2×C22⋊C4—44no—
1088C2×C22⋊C4—82no—
1089C2×C22⋊C4—82no—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2411yescharacteristic
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2411yescharacteristic
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C42—24no—
1171C2×C42—44no—
1172C2×C42—44no—
1173C2×C42—44no—
1174C2×C42C2412yes—
1175C2×C42C2412yes—
1176C2×C42C2412yes—
1177C2×C42C2412yes—
1178C2×C42C2412yes—
1179C2×C42C2412yes—
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2412yes—
1185C2×C42C2412yes—
1186C2×C42C2412yes—
1187C2×C42C2414yes—
1188C2×C42C2412yes—
1189C2×C42C2412yes—
1190C2×C42C2414yes—
1191C2×C42C2414yes—
1192C2×C42C2414yes—
1193C2×C42C2412yes—
1194C2×C42C2412yes—
1195C2×C42C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2412yes—
1221#95C2414yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2414yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
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—
1250C24—22no—
1251C24—22no—
1252C24—22no—
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—24no—
1257C24—24no—
1258C24—24no—
1259C24—24no—
1260C24—41no—
1261C24—42no—
1262C24—42no—
1263C24—41no—
1264C24—41no—
1265C24—41no—
1266C24—41no—
1267C24—41no—
1268C24—41no—
1269C24—42no—
1270C24—42no—
1271C24—42no—
1272C24—42no—
1273C24—42no—
1274C24—42no—
1275C24—42no—
1276C24—42no—
1277C24C2×#4114yes—
1278C24C2511yescharacteristic
1279C24C2514yes—
1280C24C2512yes—
1281C24C2512yes—
1282C24C2511yescharacteristic
1283C24C2511yescharacteristic
1284C24C2511yescharacteristic
1285C24C2511yescharacteristic
1286#41—432no—
1287#41—416no—
1288#41—416no—
1289#41—432no—
1290#41—416no—
1291#41—416no—
1292C2×Q8—24no—
1293C2×Q8—22no—
1294C2×Q8—22no—
1295C2×Q8—22no—
1296C2×Q8—22no—
1297C2×Q8—22no—
1298C2×Q8—22no—
1299C2×Q8—42no—
1300C2×Q8—42no—
1301C2×Q8—44no—
1302C2×Q8—44no—
1303C2×Q8—44no—
1304C2×Q8—416no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—28no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—24no—
1314C2×D4—24no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—22no—
1320C2×D4—28no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—28no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—24no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—416no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—416no—
1382C2×D4—432no—
1383C2×D4—416no—
1384C2×D4—816no—
1385C2×D4—816no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—232no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—24no—
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—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—24no—
1422C22×C4—24no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—22no—
1428C22×C4—42no—
1429C22×C4—42no—
1430C22×C4—42no—
1431C22×C4—42no—
1432C22×C4—42no—
1433C22×C4—42no—
1434C22×C4—42no—
1435C22×C4—41no—
1436C22×C4—42no—
1437C22×C4—42no—
1438C22×C4—42no—
1439C22×C4—42no—
1440C22×C4—42no—
1441C22×C4—42no—
1442C22×C4—41no—
1443C22×C4—42no—
1444C22×C4—42no—
1445C22×C4—41no—
1446C22×C4—42no—
1447C22×C4—42no—
1448C22×C4—42no—
1449C22×C4—42no—
1450C22×C4—42no—
1451C22×C4—42no—
1452C22×C4—42no—
1453C22×C4—42no—
1454C22×C4—44no—
1455C22×C4—44no—
1456C22×C4—44no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—44no—
1460C22×C4—432no—
1461C22×C4—416no—
1462C22×C4C2×#4114yes—
1463C22×C4C2×#4114yes—
1464C22×C4C2×#4114yes—
1465C22×C4C2×#4114yes—
1466C22×C4C2×#4114yes—
1467C22×C4C2×#4114yes—
1468C22×C4H(5,𝔽2)14yes—
1469C22×C4H(5,𝔽2)14yes—
1470C22×C4C2511yescharacteristic
1471C22×C4C2512yes—
1472C22×C4C2512yes—
1473C22×C4C2512yes—
1474C22×C4C2514yes—
1475C22×C4C2512yes—
1476C22×C4C2512yes—
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2512yes—
1480C22×C4C2514yes—
1481C22×C4C2512yes—
1482C22×C4C2512yes—
1483C22×C4C2511yescharacteristic
1484C22×C4C2512yes—
1485C22×C4C2512yes—
1486C22×C4C2511yescharacteristic
1487C22×C4C2512yes—
1488C22×C4C2511yescharacteristic
1489C22×C4C2514yes—
1490C22×C4C2511yescharacteristic
1491C22×C4C2512yes—
1492C22×C4C2511yescharacteristic
1493C22×C4C2511yescharacteristic
1494C22×C4C2511yescharacteristic
1495C22×C4C2511yescharacteristic
1496C22×C4C2511yescharacteristic
1497C4⋊C4—22no—
1498C4⋊C4—22no—
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—22no—
1508C4⋊C4—22no—
1509C4⋊C4—22no—
1510C4⋊C4—22no—
1511C4⋊C4—22no—
1512C4⋊C4—22no—
1513C4⋊C4—22no—
1514C4⋊C4—22no—
1515C4⋊C4—22no—
1516C4⋊C4—22no—
1517C4⋊C4—22no—
1518C4⋊C4—22no—
1519C4⋊C4—24no—
1520C4⋊C4—42no—
1521C4⋊C4—42no—
1522C4⋊C4—42no—
1523C4⋊C4—42no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—42no—
1527C4⋊C4—42no—
1528C4⋊C4—42no—
1529C4⋊C4—42no—
1530C4⋊C4—42no—
1531C4⋊C4—44no—
1532C4⋊C4—44no—
1533C4⋊C4—44no—
1534C4⋊C4—44no—
1535C4⋊C4—44no—
1536C4⋊C4—44no—
1537C4⋊C4—44no—
1538C4⋊C4—44no—
1539C4⋊C4—44no—
1540C4⋊C4—44no—
1541C4⋊C4—42no—
1542C4⋊C4—44no—
1543C4⋊C4—42no—
1544C22⋊C4—22no—
1545C22⋊C4—22no—
1546C22⋊C4—22no—
1547C22⋊C4—22no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—22no—
1556C22⋊C4—22no—
1557C22⋊C4—22no—
1558C22⋊C4—22no—
1559C22⋊C4—28no—
1560C22⋊C4—28no—
1561C22⋊C4—28no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—44no—
1565C22⋊C4—42no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C22⋊C4—42no—
1586C22⋊C4—42no—
1587C22⋊C4—42no—
1588C22⋊C4—42no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—42no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—42no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—42no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—42no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—42no—
1621C22⋊C4—42no—
1622C22⋊C4—42no—
1623C22⋊C4—42no—
1624C42—22no—
1625C42—22no—
1626C42—22no—
1627C42—22no—
1628C42—24no—
1629C42—24no—
1630C42—24no—
1631C42—24no—
1632C42—24no—
1633C42—24no—
1634C42—24no—
1635C42—42no—
1636C42—42no—
1637C42—44no—
1638C42—44no—
1639C42—42no—
1640C42—42no—
1641C42—42no—
1642C42—44no—
1643C42—44no—
1644C42—42no—
1645C42—42no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—21no—
1668C23—28no—
1669C23—21no—
1670C23—24no—
1671C23—22no—
1672C23—22no—
1673C23—21no—
1674C23—24no—
1675C23—24no—
1676C23—21no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—24no—
1682C23—22no—
1683C23—22no—
1684C23—22no—
1685C23—22no—
1686C23—24no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—22no—
1691C23—22no—
1692C23—22no—
1693C23—22no—
1694C23—24no—
1695C23—21no—
1696C23—24no—
1697C23—44no—
1698C23—44no—
1699C23—44no—
1700C23—44no—
1701C23—44no—
1702C23—48no—
1703C23—44no—
1704C23—48no—
1705C23—82no—
1706C23—82no—
1707C23—82no—
1708C23—82no—
1709C23—82no—
1710C23—82no—
1711C23—82no—
1712C23—84no—
1713C23—84no—
1714C23—84no—
1715C23—84no—
1716C23—84no—
1717C23—84no—
1718C23—84no—
1719C23—84no—
1720C23—84no—
1721C23—84no—
1722C23—84no—
1723C23—84no—
1724C23C22×#4112yes—
1725C23C22×#4112yes—
1726C23C22×#4112yes—
1727C23C2×H(5,𝔽2)12yes—
1728C23C2×H(5,𝔽2)12yes—
1729C23#58512yes—
1730C23C2611yescharacteristic
1731Q8—48no—
1732Q8—44no—
1733Q8—44no—
1734Q8—164no—
1735D4—28no—
1736D4—44no—
1737D4—48no—
1738D4—44no—
1739D4—44no—
1740D4—48no—
1741D4—48no—
1742D4—416no—
1743D4—48no—
1744D4—48no—
1745D4—48no—
1746D4—48no—
1747D4—44no—
1748D4—44no—
1749D4—84no—
1750D4—84no—
1751D4—88no—
1752D4—88no—
1753D4—84no—
1754D4—84no—
1755D4—88no—
1756D4—164no—
1757D4—164no—
1758D4—164no—
1759D4—164no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—28no—
1767C2×C4—28no—
1768C2×C4—28no—
1769C2×C4—28no—
1770C2×C4—28no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—24no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—21no—
1792C2×C4—24no—
1793C2×C4—24no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—21no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—24no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—24no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—21no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—21no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—24no—
1827C2×C4—22no—
1828C2×C4—24no—
1829C2×C4—21no—
1830C2×C4—24no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—21no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—24no—
1837C2×C4—44no—
1838C2×C4—48no—
1839C2×C4—48no—
1840C2×C4—48no—
1841C2×C4—48no—
1842C2×C4—44no—
1843C2×C4—44no—
1844C2×C4—44no—
1845C2×C4—44no—
1846C2×C4—44no—
1847C2×C4—48no—
1848C2×C4—48no—
1849C2×C4—82no—
1850C2×C4—84no—
1851C2×C4—84no—
1852C2×C4—84no—
1853C2×C4—84no—
1854C2×C4—84no—
1855C2×C4—84no—
1856C2×C4—164no—
1857C2×C4—164no—
1858C2×C4#538116yes—
1859C2×C4C22×#4112yes—
1860C2×C4C22×#4112yes—
1861C2×C4C22×#4112yes—
1862C2×C4C22×#4112yes—
1863C2×C4C2×H(5,𝔽2)12yes—
1864C2×C4C2×H(5,𝔽2)12yes—
1865C2×C4C2×H(5,𝔽2)12yes—
1866C2×C4C2×H(5,𝔽2)12yes—
1867C2×C4#58512yes—
1868C22—22no—
1869C22—22no—
1870C22—22no—
1871C22—22no—
1872C22—22no—
1873C22—22no—
1874C22—22no—
1875C22—22no—
1876C22—22no—
1877C22—22no—
1878C22—22no—
1879C22—22no—
1880C22—22no—
1881C22—22no—
1882C22—22no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—42no—
1897C22—42no—
1898C22—44no—
1899C22—44no—
1900C22—41no—
1901C22—42no—
1902C22—42no—
1903C22—41no—
1904C22—44no—
1905C22—42no—
1906C22—42no—
1907C22—42no—
1908C22—42no—
1909C22—41no—
1910C22—44no—
1911C22—44no—
1912C22—41no—
1913C22—42no—
1914C22—42no—
1915C22—41no—
1916C22—42no—
1917C22—42no—
1918C22—44no—
1919C22—44no—
1920C22—42no—
1921C22—42no—
1922C22—41no—
1923C22—88no—
1924C22—88no—
1925C22—816no—
1926C22—168no—
1927C22C2×#53814yes—
1928C22C23×#4111yescharacteristic
1929C22C22×H(5,𝔽2)11yescharacteristic
1930C22C22×H(5,𝔽2)11yescharacteristic
1931C22C2×#58511yescharacteristic
1932C22C2×#58511yescharacteristic
1933C22H(7,𝔽2)11yescharacteristic
1934C22H(7,𝔽2)11yescharacteristic
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—41no—
1939C4—41no—
1940C4—41no—
1941C4—44no—
1942C4—44no—
1943C4—42no—
1944C4—42no—
1945C4—41no—
1946C4—41no—
1947C4—42no—
1948C4—42no—
1949C4—42no—
1950C4—42no—
1951C4—42no—
1952C4—42no—
1953C4—44no—
1954C4—42no—
1955C4—42no—
1956C4—42no—
1957C4—42no—
1958C4—42no—
1959C4—42no—
1960C4C2×#53814yes—
1961C4C2×#53814yes—
1962C2—24no—
1963C2—42no—
1964C2—42no—
1965C2—42no—
1966C2—81no—
1967C2—82no—
1968C2—82no—
1969C2—84no—
1970C2C22×#53811yescharacteristic
1971C2#6281411yescharacteristic
1972C2#6285511yescharacteristic
1973C2#6292411yescharacteristic
1974C2#6293011yescharacteristic
1975C2#6295511yescharacteristic
1976C2#6295711yescharacteristic
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. #42463C2semidirect
2. #42462C2semidirect
3. #42448C2semidirect
4. #42447C2semidirect
5. #40641C2semidirect
6. #40640C2semidirect
7. #39934C2semidirect
8. #39933C2semidirect
9. #39910C2semidirect
10. #39909C2semidirect
11. #38468C2semidirect
12. #38466C2semidirect
13. #37501C2semidirect
14. #37498C2semidirect
15. #37414C2semidirect
16. #37411C2semidirect
17. #37334C2semidirect
18. #37331C2semidirect
19. #35545C2semidirect
20. #35542C2semidirect
21. #35541C2semidirect
22. #35514C2semidirect
23. #35267C2semidirect
24. #35264C2semidirect
25. #35263C2semidirect
26. #35252C2semidirect
27. #35250C2semidirect
28. #35151C2semidirect
29. #35044C2semidirect
30. #35038C2semidirect
31. #34736C2semidirect
32. C2×#2414C2semidirect
33. #34204C2semidirect
34. D4×#117C2semidirect
35. #34044C2semidirect
37. C2×#544C22semidirect
43. C22×#121C22semidirect
44. C2×#518C22semidirect
48. C22×#117C22semidirect
49. #2863C22semidirect
50. #2861C22semidirect
51. #2860C22semidirect
52. #2858C22semidirect
53. #2856C22semidirect
54. #2855C22semidirect
55. #2855C22semidirect
56. #2854C22semidirect
57. #2850C22semidirect
58. #2847C22semidirect
59. #2847C22semidirect
60. #2826C22semidirect
61. #2825C22semidirect
62. #2825C22semidirect
63. #2824C22semidirect
64. #2808C22semidirect
65. #2804C22semidirect
66. #2803C22semidirect
67. #2803C22semidirect
68. #2797C22semidirect
69. #2788C22semidirect
70. #2775C22semidirect
71. #2761C22semidirect
72. #2760C22semidirect
73. #2759C22semidirect
74. #2752C22semidirect
75. #2751C22semidirect
76. #2751C22semidirect
77. #2751C22semidirect
78. #2750C22semidirect
79. #2749C22semidirect
80. #2749C22semidirect
81. #2745C22semidirect
82. #2743C22semidirect
83. #2733C22semidirect
84. #2714C22semidirect
85. #2714C22semidirect
86. #2710C22semidirect
87. #2697C22semidirect
88. #2685C22semidirect
89. #2685C22semidirect
90. #2684C22semidirect
91. #2682C22semidirect
92. #2678C22semidirect
93. #2678C22semidirect
94. #2670C22semidirect
95. #2668C22semidirect
96. #2653C22semidirect
97. #2649C22semidirect
98. #2648C22semidirect
99. #2648C22semidirect
100. #2648C22semidirect
101. #2648C22semidirect
102. #2645C22semidirect
103. #2644C22semidirect
104. #2641C22semidirect
105. #2640C22semidirect
106. #2636C22semidirect
107. #2635C22semidirect
108. #2635C22semidirect
109. #2631C22semidirect
110. #2631C22semidirect
111. #2630C22semidirect
113. #2625C22semidirect
114. #2624C22semidirect
115. #2620C22semidirect
116. #2619C22semidirect
117. #2615C22semidirect
118. #2615C22semidirect
119. #2597C22semidirect
120. #2595C22semidirect
121. #2578C22semidirect
122. #2576C22semidirect
123. #2563C22semidirect
124. #2562C22semidirect
125. #2562C22semidirect
126. #2559C22semidirect
127. #2559C22semidirect
128. #2557C22semidirect
129. #2557C22semidirect
130. #2547C22semidirect
131. #2537C22semidirect
132. #2537C22semidirect
133. #2535C22semidirect
134. #2535C22semidirect
135. #2514C22semidirect
136. #2513C22semidirect
137. #2512C22semidirect
138. #2511C22semidirect
139. #2510C22semidirect
140. #2510C22semidirect
141. #2498C22semidirect
142. #2497C22semidirect
143. #2497C22semidirect
144. #2496C22semidirect
145. #2496C22semidirect
146. #2495C22semidirect
147. #2495C22semidirect
148. #2494C22semidirect
149. #2494C22semidirect
150. #2492C22semidirect
151. #2491C22semidirect
152. #2491C22semidirect
153. #2491C22semidirect
154. #2490C22semidirect
155. #2490C22semidirect
156. #2490C22semidirect
157. #2489C22semidirect
158. #2488C22semidirect
159. #2487C22semidirect
160. #2486C22semidirect
161. #2485C22semidirect
162. #2485C22semidirect
163. #2481C22semidirect
164. #2481C22semidirect
165. #2472C22semidirect
166. #2472C22semidirect
167. #2472C22semidirect
168. #2467C22semidirect
169. #2459C22semidirect
170. #2456C22semidirect
171. #2456C22semidirect
172. #2447C22semidirect
173. #2447C22semidirect
174. #2445C22semidirect
175. #2445C22semidirect
176. #2441C22semidirect
177. #2441C22semidirect
178. #2441C22semidirect
179. #2441C22semidirect
180. #2439C22semidirect
181. #2439C22semidirect
182. #2439C22semidirect
183. #2439C22semidirect
184. #2436C22semidirect
185. #2433C22semidirect
186. #2431C22semidirect
187. #2431C22semidirect
188. #2428C22semidirect
189. #2428C22semidirect
190. #2427C22semidirect
191. #2427C22semidirect
192. #2422C22semidirect
193. #2422C22semidirect
194. #2420C22semidirect
195. #2420C22semidirect
196. #2416C22semidirect
197. #2416C22semidirect
202. #2414C22semidirect
203. #2414C22semidirect
204. #2414C22semidirect
205. #2414C22semidirect
206. #2414C22semidirect
207. #2414C22semidirect
208. #2412C22semidirect
209. #2412C22semidirect
210. #2412C22semidirect
211. #2412C22semidirect
212. #2411C22semidirect
213. #2410C22semidirect
214. #2410C22semidirect
215. #2409C22semidirect
216. #2409C22semidirect
217. #2408C22semidirect
218. #2408C22semidirect
219. #2407C22semidirect
220. #2407C22semidirect
221. #2407C22semidirect
222. #2407C22semidirect
229. #2388C22semidirect
230. #2388C22semidirect
233. #2363C22semidirect
234. #2363C22semidirect
235. #2361C22semidirect
236. #2361C22semidirect
237. #2354C22semidirect
238. #2354C22semidirect
239. #2352C22semidirect
240. #2352C22semidirect
241. #2352C22semidirect
242. #2352C22semidirect
243. D4×C4⋊C4C22semidirect
244. D4×C4⋊C4C22semidirect
245. #2344C22semidirect
247. #2342C22semidirect
248. #2342C22semidirect
251. #2337C22semidirect
252. #2335C22semidirect
253. #2333C22semidirect
254. #2333C22semidirect
255. #2324C22semidirect
256. #2324C22semidirect
257. #2317C22semidirect
258. #2317C22semidirect
259. #2316C22semidirect
260. #2316C22semidirect
267. #2311C22semidirect
268. #2311C22semidirect
269. #2310C22semidirect
270. #2309C22semidirect
271. #2309C22semidirect
273. C4×#121C22semidirect
274. C4×#121C22semidirect
275. C4×#120C22semidirect
276. C4×#120C22semidirect
280. #2297C22semidirect
281. #2297C22semidirect
282. #2293C22semidirect
283. C2×#390C22semidirect
284. C2×#390C22semidirect
285. C2×#389C22semidirect
286. #2290C22semidirect
287. #2290C22semidirect
288. C2×#388C22semidirect
289. #2285C22semidirect
292. #2280C22semidirect
293. #2280C22semidirect
294. #2280C22semidirect
295. C2×#380C22semidirect
296. #2274C22semidirect
297. C42×D4C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#424632
#424622
#424482
#424472
#406412
#406402
#399342
#399332
#399102
#399092
#384682
#384662
#375012
#374982
#374142
#374112
#373342
#373312
#355452
#355422
#355412
#355142
#352672
#352642
#352632
#352522
#352502
#351512
#350442
#350382
#347362
C2×#24142
#342042
D4×#1172
#340442